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term of 12629413, 25258834, 37888257, 50517682? w**2 + 12629418*w - 6 What is the m'th term of 74883572, 74883574, 74883576, 74883578, 74883580? 2*m + 74883570 What is the l'th term of 208824, 835171, 1879040, 3340431, 5219344, 7515779, 10229736? 208761*l**2 + 64*l - 1 What is the m'th term of 28661, 44976, 61289, 77600, 93909, 110216, 126521? -m**2 + 16318*m + 12344 What is the v'th term of 1634766, 1634734, 1634696, 1634652, 1634602? -3*v**2 - 23*v + 1634792 What is the z'th term of 84097187, 84097187, 84097185, 84097181? -z**2 + 3*z + 84097185 What is the c'th term of 5253, 5886, 7585, 10872, 16269, 24298, 35481, 50340? 87*c**3 + 11*c**2 - 9*c + 5164 What is the c'th term of 4882, 19468, 43824, 77992, 122014, 175932, 239788? 7*c**3 + 4843*c**2 + 8*c + 24 What is the t'th term of -33414394, -33414407, -33414420? -13*t - 33414381 What is the n'th term of -2913847, -5827735, -8741627, -11655523, -14569423, -17483327? -2*n**2 - 2913882*n + 37 What is the n'th term of 4803, 9657, 14517, 19383, 24255, 29133, 34017? 3*n**2 + 4845*n - 45 What is the q'th term of 38, -164, -506, -988, -1610? -70*q**2 + 8*q + 100 What is the c'th term of -7409766, -14819532, -22229298, -29639064? -7409766*c What is the s'th term of 7514, 13277, 19040, 24803? 5763*s + 1751 What is the w'th term of -139, -257, -481, -811? -53*w**2 + 41*w - 127 What is the t'th term of -27368, -54867, -82482, -110213? -58*t**2 - 27325*t + 15 What is the f'th term of -48214, -48132, -47908, -47470, -46746, -45664, -44152? 12*f**3 - f**2 + f - 48226 What is the g'th term of -43536, -174249, -392076, -696993, -1088976, -1568001, -2134044, -2787081? 4*g**3 - 43581*g**2 + 2*g + 39 What is the l'th term of -214705, -859002, -1932875, -3436324, -5369349, -7731950, -10524127? -214788*l**2 + 67*l + 16 What is the i'th term of -41296, -41472, -41636, -41782, -41904, -41996, -42052, -42066? i**3 - 183*i - 41114 What is the g'th term of -4522, -16869, -29216, -41563, -53910? -12347*g + 7825 What is the z'th term of -312, -174, 848, 3198, 7320, 13658? 74*z**3 - 2*z**2 - 374*z - 10 What is the s'th term of 18040810, 18040807, 18040804, 18040801? -3*s + 18040813 What is the w'th term of -705124, -2820491, -6346100, -11281951, -17628044, -25384379? -705121*w**2 - 4*w + 1 What is the g'th term of -91526052, -91526046, -91526036, -91526022? 2*g**2 - 91526054 What is the a'th term of 116599, 244521, 372445, 500371? a**2 + 127919*a - 11321 What is the q'th term of 730939, 1461884, 2192835, 2923792? 3*q**2 + 730936*q What is the q'th term of 14588, 29097, 43476, 57659, 71580? -11*q**3 + q**2 + 14583*q + 15 What is the b'th term of 10510, 84281, 284652, 674965, 1318562, 2278785, 3618976, 5402477? 10557*b**3 - 42*b**2 - 2*b - 3 What is the u'th term of -291, -644, -917, -852, -191, 1324, 3951? 43*u**3 - 218*u**2 - 116 What is the j'th term of -4443, -4363, -4233, -4053, -3823, -3543? 25*j**2 + 5*j - 4473 What is the o'th term of 1530075, 1530074, 1530071, 1530066? -o**2 + 2*o + 1530074 What is the r'th term of -695332, -695294, -695256? 38*r - 695370 What is the h'th term of -51733893, -103467787, -155201681, -206935575, -258669469? -51733894*h + 1 What is the b'th term of 8939, 35353, 79373, 140993, 220207, 317009? -b**3 + 8809*b**2 - 6*b + 137 What is the r'th term of 865, 1493, 2121, 2749, 3377, 4005? 628*r + 237 What is the m'th term of 1643505, 3287024, 4930543, 6574062, 8217581, 9861100? 1643519*m - 14 What is the c'th term of -6012, -12182, -18428, -24744, -31124, -37562, -44052? c**3 - 44*c**2 - 6045*c + 76 What is the x'th term of -13024308, -52097254, -117218830, -208389036, -325607872? -13024315*x**2 - x + 8 What is the z'th term of 9574, 19118, 28654, 38206, 47798, 57454, 67198, 77054? 4*z**3 - 28*z**2 + 9600*z - 2 What is the d'th term of 837, 3613, 8287, 14859, 23329? 949*d**2 - 71*d - 41 What is the q'th term of 266478, 266485, 266496, 266511? 2*q**2 + q + 266475 What is the c'th term of -41441, -82074, -122707, -163340, -203973? -40633*c - 808 What is the z'th term of 1082, -210, -3626, -10228, -21078? -177*z**3 - 53*z + 1312 What is the h'th term of 728623, 728624, 728625, 728626, 728627, 728628? h + 728622 What is the h'th term of -2770, -1880, -398, 1676? 296*h**2 + 2*h - 3068 What is the k'th term of -636356, -1272710, -1909088, -2545502, -3181964, -3818486? -2*k**3 - 636340*k - 14 What is the y'th term of -46784, -53537, -60290, -67043, -73796, -80549? -6753*y - 40031 What is the q'th term of -10598, -43321, -97876, -174263, -272482? -10916*q**2 + 25*q + 293 What is the z'th term of 1705, 1454, 1303, 1252? 50*z**2 - 401*z + 2056 What is the l'th term of 18047755, 18047754, 18047753, 18047752? -l + 18047756 What is the z'th term of 64494, 65249, 67290, 71259, 77798, 87549, 101154? 107*z**3 + z**2 + 3*z + 64383 What is the u'th term of -14535, -57821, -129943, -230883, -360623, -519145? 3*u**3 - 14436*u**2 + u - 103 What is the k'th term of -712, -1284, -1576, -1450, -768? 23*k**3 + 2*k**2 - 739*k + 2 What is the j'th term of -63610, -127128, -190646, -254164? -63518*j - 92 What is the w'th term of -156948, -160202, -163456, -166710, -169964? -3254*w - 153694 What is the q'th term of -1285, -1923, -1913, -1255, 51? 324*q**2 - 1610*q + 1 What is the u'th term of -19043774, -19043777, -19043780? -3*u - 19043771 What is the f'th term of -1861, -7968, -18309, -32884, -51693? -2117*f**2 + 244*f + 12 What is the q'th term of -40390, -80720, -120998, -161230, -201422, -241580? -q**3 + 32*q**2 - 40419*q - 2 What is the f'th term of 20160851, 40321694, 60482537? 20160843*f + 8 What is the c'th term of 3869383, 7738762, 11608141, 15477520? 3869379*c + 4 What is the b'th term of 55631993, 111263986, 166895979? 55631993*b What is the v'th term of 103652, 414588, 932814, 1658330, 2591136, 3731232? 103645*v**2 + v + 6 What is the a'th term of 2353189, 9412833, 21178921, 37651465, 58830477, 84715969, 115307953, 150606441? 2*a**3 + 2353210*a**2 - 23 What is the d'th term of 1012, 2385, 4114, 6187, 8592, 11317, 14350? -2*d**3 + 190*d**2 + 817*d + 7 What is the v'th term of 43608, 88599, 133590? 44991*v - 1383 What is the d'th term of -1043, -1505, -2099, -2825, -3683? -66*d**2 - 264*d - 713 What is the d'th term of -12318922, -24637910, -36956898? -12318988*d + 66 What is the h'th term of 2061428, 2061425, 2061422, 2061419, 2061416, 2061413? -3*h + 2061431 What is the i'th term of -56676, -57012, -57348, -57684? -336*i - 56340 What is the j'th term of -29439, -117793, -265033, -471147, -736123, -1059949, -1442613? 2*j**3 - 29455*j**2 - 3*j + 17 What is the n'th term of -62003, -123986, -185973, -247964? -2*n**2 - 61977*n - 24 What is the f'th term of -23132213, -23132255, -23132297? -42*f - 23132171 What is the j'th term of 9050236, 9050234, 9050232, 9050230, 9050228? -2*j + 9050238 What is the g'th term of 3524731, 3524727, 3524723, 3524719? -4*g + 3524735 What is the z'th term of 10829, 14730, 21235, 30344? 1302*z**2 - 5*z + 9532 What is the q'th term of -7942, -21757, -44782, -77017, -118462, -169117, -228982? -4605*q**2 - 3337 What is the b'th term of -3018, -8551, -19134, -37293, -65554? -421*b**3 + b**2 - 2589*b - 9 What is the f'th term of 24799, 99195, 223189, 396781, 619971? 24799*f**2 - f + 1 What is the m'th term of -777314, -777345, -777398, -777473? -11*m**2 + 2*m - 777305 What is the w'th term of -2626129, -2626138, -2626147? -9*w - 2626120 What is the u'th term of -1670, -3425, -5338, -7415, -9662, -12085, -14690? -u**3 - 73*u**2 - 1529*u - 67 What is the u'th term of -817, -1679, -2531, -3367, -4181, -4967, -5719? u**3 - u**2 - 866*u + 49 What is the c'th term of -1177, -2613, -4323, -6313, -8589, -11157, -14023? -c**3 - 131*c**2 - 1036*c - 9 What is the n'th term of -581367, -1162740, -1744113, -2325486, -2906859, -3488232? -581373*n + 6 What is the t'th term of 7170, 7866, 8562, 9258, 9954? 696*t + 6474 What is the t'th term of -571029, -571034, -571045, -571062, -571085, -571114? -3*t**2 + 4*t - 571030 What is the z'th term of -10865, -10929, -11039, -11189, -11373, -11585, -11819? z**3 - 29*z**2 + 16*z - 10853 What is the y'th term of 753, 1385, 2001, 2601, 3185, 3753? -8*y**2 + 656*y + 105 What is the b'th term of -154401, -154374, -154343, -154308? 2*b**2 + 21*b - 154424 What is
{ "pile_set_name": "DM Mathematics" }
- n**2 + n + 8579 What is the m'th term of -12134, -24296, -36458, -48620, -60782, -72944? -12162*m + 28 What is the m'th term of -131, -64, 47, 226, 497? 4*m**3 - 2*m**2 + 45*m - 178 What is the o'th term of -487, -1334, -2307, -3412, -4655, -6042, -7579? -o**3 - 57*o**2 - 669*o + 240 What is the l'th term of 35416, 70832, 106248, 141664? 35416*l What is the i'th term of -1042, -1100, -1158, -1216? -58*i - 984 What is the d'th term of -1594, -3150, -4668, -6148, -7590, -8994? 19*d**2 - 1613*d What is the y'th term of 13821, 13837, 13853? 16*y + 13805 What is the a'th term of 1393, 2491, 3589, 4687, 5785, 6883? 1098*a + 295 What is the v'th term of -124, -84, 16, 206, 516, 976? 5*v**3 + 5*v - 134 What is the k'th term of 1994, 2016, 2038? 22*k + 1972 What is the l'th term of -10499, -10495, -10481, -10451, -10399, -10319, -10205, -10051? l**3 - l**2 - 10499 What is the l'th term of -21370, -85462, -192282, -341830, -534106? -21364*l**2 - 6 What is the z'th term of -981, -1808, -2635, -3462? -827*z - 154 What is the t'th term of 86876, 173747, 260618? 86871*t + 5 What is the f'th term of 417183, 417194, 417215, 417252, 417311, 417398? f**3 - f**2 + 7*f + 417176 What is the g'th term of -39157, -78299, -117441? -39142*g - 15 What is the v'th term of 1036, 2035, 3034, 4033, 5032? 999*v + 37 What is the q'th term of 37929, 75885, 113841, 151797, 189753? 37956*q - 27 What is the z'th term of 19759, 19716, 19645, 19546? -14*z**2 - z + 19774 What is the a'th term of 47, 154, 331, 578, 895, 1282? 35*a**2 + 2*a + 10 What is the p'th term of -3469, -3485, -3511, -3547? -5*p**2 - p - 3463 What is the g'th term of 480, 509, 538, 567, 596? 29*g + 451 What is the h'th term of 1166, 3922, 8270, 14210, 21742, 30866, 41582? 796*h**2 + 368*h + 2 What is the c'th term of -163, -716, -1631, -2908? -181*c**2 - 10*c + 28 What is the h'th term of 786, 1581, 2388, 3207, 4038? 6*h**2 + 777*h + 3 What is the j'th term of 380, 857, 1332, 1805, 2276, 2745, 3212? -j**2 + 480*j - 99 What is the d'th term of -4809, -19262, -43347, -77058, -120389, -173334, -235887, -308042? d**3 - 4822*d**2 + 6*d + 6 What is the p'th term of -4862, -4833, -4754, -4601, -4350? 4*p**3 + p**2 - 2*p - 4865 What is the b'th term of -45430, -90863, -136296, -181729? -45433*b + 3 What is the m'th term of -116358, -232719, -349084, -465453, -581826, -698203? -2*m**2 - 116355*m - 1 What is the v'th term of 132, 524, 1604, 3720, 7220, 12452? 58*v**3 - 4*v**2 - 2*v + 80 What is the j'th term of -261, -257, -265, -291, -341? -j**3 + 11*j - 271 What is the q'th term of -126, -121, -156, -249, -418, -681? -3*q**3 - 2*q**2 + 32*q - 153 What is the c'th term of -84, 24, 134, 246, 360, 476, 594? c**2 + 105*c - 190 What is the t'th term of 10167, 10153, 10137, 10119, 10099, 10077, 10053? -t**2 - 11*t + 10179 What is the p'th term of 61150, 122305, 183460, 244615? 61155*p - 5 What is the k'th term of 78507, 157003, 235499, 313995, 392491? 78496*k + 11 What is the j'th term of 545, 1156, 1767? 611*j - 66 What is the c'th term of -683, -1377, -2071? -694*c + 11 What is the q'th term of -54, -26, 24, 90, 166, 246? -q**3 + 17*q**2 - 16*q - 54 What is the w'th term of -190, -628, -1358, -2380, -3694, -5300, -7198? -146*w**2 - 44 What is the m'th term of -236, -866, -1902, -3344, -5192, -7446? -203*m**2 - 21*m - 12 What is the i'th term of -2151, -4295, -6429, -8547, -10643, -12711, -14745? i**3 - i**2 - 2148*i - 3 What is the m'th term of -46379, -46397, -46441, -46523, -46655, -46849, -47117? -2*m**3 - m**2 - m - 46375 What is the g'th term of -96, -128, -156, -180, -200? 2*g**2 - 38*g - 60 What is the r'th term of 461, 1848, 4147, 7358, 11481, 16516? 456*r**2 + 19*r - 14 What is the u'th term of 16277, 16307, 16353, 16415? 8*u**2 + 6*u + 16263 What is the g'th term of 4996, 4700, 4404, 4108, 3812? -296*g + 5292 What is the o'th term of -147, -706, -1871, -3834, -6787, -10922, -16431? -32*o**3 - 111*o**2 - 2*o - 2 What is the h'th term of 19787, 19789, 19791, 19793, 19795, 19797? 2*h + 19785 What is the k'th term of 209, 356, 503, 650, 797? 147*k + 62 What is the x'th term of 2594, 2627, 2660, 2693, 2726? 33*x + 2561 What is the t'th term of -5299, -10586, -15873, -21160, -26447, -31734? -5287*t - 12 What is the f'th term of 211, 212, 221, 244, 287, 356, 457, 596? f**3 - 2*f**2 + 212 What is the n'th term of -85437, -85409, -85381, -85353, -85325? 28*n - 85465 What is the k'th term of -47, -157, -343, -635, -1063, -1657, -2447, -3463? -5*k**3 - 8*k**2 - 51*k + 17 What is the n'th term of 338, 337, 342, 353, 370, 393, 422? 3*n**2 - 10*n + 345 What is the k'th term of -1035, -1394, -1751, -2106, -2459, -2810? k**2 - 362*k - 674 What is the r'th term of -6441, -25755, -57945, -103011? -6438*r**2 - 3 What is the i'th term of 1084, 1104, 1134, 1174? 5*i**2 + 5*i + 1074 What is the w'th term of -1003, -2024, -3053, -4090? -4*w**2 - 1009*w + 10 What is the m'th term of -494, -941, -1388, -1835? -447*m - 47 What is the c'th term of -8088, -8085, -8082? 3*c - 8091 What is the y'th term of -39344, -78678, -118004, -157322, -196632, -235934? 4*y**2 - 39346*y - 2 What is the m'th term of -3019, -3204, -3389, -3574, -3759? -185*m - 2834 What is the q'th term of -112590, -225183, -337776, -450369, -562962? -112593*q + 3 What is the b'th term of -499860, -999728, -1499596, -1999464? -499868*b + 8 What is the s'th term of 8066, 8361, 8656, 8951, 9246? 295*s + 7771 What is the g'th term of -245, -437, -627, -815, -1001, -1185? g**2 - 195*g - 51 What is the j'th term of 296694, 296690, 296686, 296682, 296678? -4*j + 296698 What is the a'th term of -123271, -246517, -369763, -493009, -616255? -123246*a - 25 What is the a'th term of -1789039, -1789040, -1789041? -a - 1789038 What is the r'th term of -621706, -621699, -621690, -621679, -621666, -621651? r**2 + 4*r - 621711 What is the b'th term of 1773, 1794, 1843, 1932, 2073, 2278, 2559? 2*b**3 + 2*b**2 + b + 1768 What is the i'th term of 10415, 20961, 31507, 42053? 10546*i - 131 What is the s'th term of 66333, 66344, 66355, 66366? 11*s + 66322 What is the q'th term of 300, 239, 108, -117, -460, -945, -1596? -4*q**3 - 11*q**2 + 315 What is the o'th term of 632, 2507, 7598, 17513, 33860, 58247? 268*o**3 - o + 365 What is the w'th term of -64978, -64789, -64602, -64417, -64234, -64053? -w**2 + 192*w - 65169 What is the i'th term of -128649, -128655, -128663, -128673, -128685, -128699? -i**2 - 3*i - 128645 What is the q'th term of -4091, -32730, -110449, -261788, -511287, -883486? -4090*q**3 - 9*q + 8 What is the q'th term of -108, -171, -220, -249, -252, -223, -156, -45? q**3 + q**2 - 73*q - 37 What is the o'th term of 32, -9, -182, -553, -1188, -2153, -3514, -5337? -11*o**3 + 36*o + 7 What is the c'th term of -10439, -41977, -94547, -168155, -262807? -c**3 - 10510*c**2 - c + 73 What is the k'th term of 255611, 511221, 766833, 1022447, 1278063, 1533681, 1789301? k**2 + 255607*k + 3 What is the j'th term of 310, 531, 726, 883, 990, 1035, 1006, 891? -2*j**3 - j**2 + 238*j + 75 What is the w'th term of 1001, 1378, 2015, 2918, 4093, 5546? w**3 + 124*w**2 - 2*w + 878 What is the g'th term of -71181, -284721, -640619, -1138875? -71179*g**2 - 3*g + 1 What is the a'th term of 12268, 24504, 36740, 48976, 61212, 73448? 12236*a + 32 What is the d'th term of 380451, 380452, 380453, 380454, 380455? d + 380450 What is the s'th term of -1443, -1458, -1473? -15*s - 1428 What is the s'th term of 433, -84, -945, -2150, -3699? -172*s**2 - s + 606 What is the a'th term of -666142, -666141, -666140? a - 666143 What is the c'th term of -65, -89, -123, -161, -197, -225? c**3 - 11*c**2 + 2*c - 57 What is the b'th term of 82, 178, 300, 454, 646, 882? b**3 + 7*b**2 + 68*b + 6 What is the i'th term of -5370, -21500, -48360, -85932, -134198? 3*i**3 - 5383*i**2 - 2*i + 12 What is the m'th term of -873, -3512, -7891, -14004, -21845, -31408? m**3 - 876*m**2 - 18*m + 20 What is the y'th term of -15195, -15198, -15189, -15162, -15111, -15030? y**3 - 10*y - 15186 What is the c'th term of -296, -832, -1626, -2684, -4012, -5616, -7502, -9676? -c**3 - 123*c**2 - 160*c - 12 What is the o'th term of 649909, 1299816, 1949723, 2599630, 3249537, 3899444? 649907*o + 2 What is the s'th term of -224, -341, -480, -653, -872,
{ "pile_set_name": "DM Mathematics" }
ppose 0 = -0*b + b - 2. Solve -f = -y + b*y for y. -1 Let z(x) = -x**2 - 4*x + 2. Let w be z(-4). Let y(n) = 7 + 2 + 5 - 4 + n. Let a be y(-7). Solve -h = -w - a for h. 5 Let n(t) = t**3 + 12*t**2 + 3*t + 14. Let r be n(-12). Let z = 55 + r. Suppose h + 0*y - 21 = 5*y, 0 = 4*h - 3*y - z. Solve -4*s + 6 = -h for s. 3 Let s(m) = -3*m - 6. Let x(j) = 9*j + 18. Let i(f) = 7*s(f) + 2*x(f). Let v be i(-11). Suppose 0 = -5*z - v + 107. Solve z = 4*h - 0*h for h. 4 Let i be -2 - -4 - (34 + 2). Suppose -17*w + 415 = -197. Let t = w + i. Solve 0 = -c - t*c - 9 for c. -3 Let r(l) = l**2 + 4*l - 134. Let i be r(-14). Solve -31*h - i = -33*h for h. 3 Let i = 7 - -2. Let x = 15 - i. Let r = 6 - x. Solve 0 = -r*l - 2*l - 6 for l. -3 Let g(w) = w**3 - 19*w**2 + 2*w - 38. Let j = 57 - 38. Let v be g(j). Solve v = -0*l + 2*l - 8 for l. 4 Let z(g) = -2*g - 1. Let o(v) = v**3 - 2*v - 3. Let n be o(-2). Let x = -9 - n. Let j be z(x). Solve -3*p + 6*p = -j for p. -1 Suppose 18 = -2*g + 8*g. Suppose -3*k = 0, 9 = 3*q + g*k + 2*k. Solve -q = -x + 2 for x. 5 Suppose -5*m + 147 + 3 = 0. Let v = m + -50. Let z be (-105)/v - (-6)/8. Solve 4*y + 2 = -z for y. -2 Let n = -1 - -1. Suppose -37 - 33 = 5*a. Let f = -9 - a. Solve n*u - 20 = f*u for u. -4 Let h(f) = f**3 - 9*f**2 - 12*f + 10. Let r(s) = -s**2 + 6*s + 10. Let g be r(6). Let n be h(g). Let t = -1 - n. Solve -3*k + t = -3 for k. 4 Suppose -2*u = 3*u - t - 73, t = -u + 17. Solve 18*k = 13*k - u for k. -3 Suppose 0 = -389*n + 397*n - 16. Solve -22*w - n = -24*w for w. 1 Let l(i) = 4*i**3 + 1. Let b(x) = x**2 - 6*x + 9. Let n be b(4). Let q be l(n). Solve q = -4*f - 7 for f. -3 Suppose -8*c + 0*c = 0. Solve 5*y + c*y = 20 for y. 4 Let z be (65/15 - 4)*15. Let v(j) = j - 2. Let i be v(z). Solve -i*u - 9 = 3 for u. -4 Suppose -4*w - 10 = -5*w. Suppose k + 2*x - 30 = 7*x, -2*x + 10 = 0. Let p be (-48)/w*k/(-22). Solve -a - 2*a = p for a. -4 Let d be (-16)/(-6)*1 + 2/(-3). Suppose -16 + 10 = -d*p. Solve 5*h + 2 = -p for h. -1 Let a(u) = -u**3 + 7*u**2 - 6*u + 1. Let q be a(6). Let z(g) = -28*g**3 - g**2 + 2*g - 1. Let f be z(q). Let b = f + 47. Solve 3 = 4*k + b for k. -4 Suppose 3*x + 0*x - 12 = 0. Let y(t) = -12*t**3 - 182*t**2 - 30*t + 12. Let p be y(-15). Solve -4*c - x = -p for c. 2 Suppose -4*j - w + 11 = 0, 3*j = 2*j - 3*w. Solve 4*c = j*c for c. 0 Let i be ((6 + -7)*6)/(-2). Solve -i*q + 30 = 3*q for q. 5 Let z(f) = 5*f**2 - 9*f + 3. Let c = 81 - 79. Let g be z(c). Solve 0*l + g*l = 15 for l. 3 Suppose -10 = -2*w + 2*t + 24, -4*w + 60 = 4*t. Suppose -f + 3 - 2 = 0. Suppose 5*h + f = w. Solve 0 = -2*y - h*y + 25 for y. 5 Let q be (256/160)/((-2)/(-5)). Solve 0 = 9*c - 5*c + q for c. -1 Let p(r) = -r - 3. Let t be p(-4). Let u be (-1 + t)/(-22 + 24). Suppose u = -5*f + 2*f. Solve f*o - 6 = 2*o for o. -3 Let o be (-4 - 6)*2/(-5). Let g be (-15)/(-2) - (-2)/o. Let c be 12/8*g/2. Solve 5*u = 1 - c for u. -1 Suppose -f = -2*f. Suppose 15*u - 17*u = f. Solve 0 = -u*b - 2*b for b. 0 Suppose 8*m + 12 = 5*m. Let t be ((-2)/m*0)/1. Solve t = -3*r + 2*r for r. 0 Suppose -o + 15 = 4*o, -o + 23 = 4*t. Suppose 0 = -t*n + 9 + 6. Suppose 0 = n*a + 2 - 11. Solve -a*f - 7 = -1 for f. -2 Let q be ((-24)/(-10))/(22/(-55)). Let k be 0 + -5 - 126/q. Solve -c = 3*c - k for c. 4 Let d(l) = -l**2 - 4*l. Suppose f = 4*f + 72. Let s be (-8)/20 - f/(-15). Let q be d(s). Solve -q*x + 14 + 6 = 0 for x. 5 Suppose -5*d + 60 - 45 = 0. Solve -q + 10 = -d*q for q. -5 Suppose -7*p - 533 + 582 = 0. Solve 0 = -p*n - 5 - 2 for n. -1 Let l be (-2)/3 + (-22)/(-6). Let a(r) = -r**3 + 2*r**2 + 4*r. Let n be a(l). Let d be (-4)/(-1) + (2 - 3). Solve -6 = -d*k - n for k. 1 Suppose 2*z - 23 + 7 = 0. Suppose 4*w = 2*w - 5*i + 24, 0 = -4*i + z. Solve 2*g - 20 = w*g for g. -4 Suppose -1488 = 6*q - 18*q. Let j = 132 - q. Solve j = -2*t - 0*t for t. -4 Let u = -1234 + 1244. Solve 5*z - 3*z = -u for z. -5 Let a be (-2)/(-3)*108/8. Let u = 1 - a. Let r = u - -11. Solve -r*m = m + 20 for m. -5 Let r be (-5)/2 - (-3)/6. Suppose 4*o - 18 = -o + 2*i, o = -4*i - 14. Let v = o - r. Solve c = -2 + v for c. 2 Let z(p) = -p**2 + 1. Suppose -3*n + 15 = -0*n, -k + 4*n - 15 = 0. Let b be z(k). Let m be b/32 + (-30)/(-8). Solve 3*d - 6 = m for d. 3 Suppose 177 = 3*s - 15. Solve -61*b - 9 = -s*b for b. 3 Let i be (0 + 1)/(11/44). Let o be 24/(0 + -4) + 6. Solve -2*g + 6*g - i = o for g. 1 Let w = -13 - -5. Let p be (10/3)/(w/(-12)). Solve -p*a + 2*a + 6 = 0 for a. 2 Let y be (-12)/(-5) + (-2)/5. Let x(j) = -12*j + 19*j**y - 8 - 20*j**2 + 4*j. Let c be x(-6). Solve 3*v = -v - c for v. -1 Let g = 12 + -6. Let y = 11 - g. Solve -3 - y = 4*s for s. -2 Let m = 61 + -59. Let p be 4 - ((-6)/m - -3). Let x(n) = -n**2 + 5*n + 8. Let t be x(6). Solve 0 = -t*i - p - 6 for i. -5 Suppose 10*k = 23*k - 104. Solve 11*n - 15 = k*n for n. 5 Suppose 15 - 25 = 5*h. Let g be 5 + (-5 - 6/h). Solve 0 = g*a - 5*a + 6 for a. 3 Suppose 0*c = -3*x - 2*c + 191, 0 = -5*c - 25. Suppose -5*o + x = 42. Solve 2*t = t - o for t. -5 Suppose -4*p = -6*p + 6. Suppose 0 = j + v - 6, 3*v - 8 = p*j - 4*j. Solve 0 = 3*x - 1 - j for x. 2 Suppose 0*l - 14 = t - 4*l, 0 = 2*t - 3*l + 8. Let n(u) = 7*u**2 - 6 - 13*u**t + 7*u + 5*u**2. Let w be n(5). Solve w*c = 3*c + 2 for c. 2 Suppose -g = -6*g. Suppose -n - 2*a - 2 - 5 = g, -4*n + 12 = -2*a. Solve q = 3 + n for q. 4 Let w(s) = -s**3 + s**2 + 3*s - 5. Let h = -4 + 2. Let l(q) = q**3 - 2*q**2 - 4*q + 6. Let d(y) = h*l(y) - 3*w(y). Let g be d(0). Solve -v + 0 = -g for v. 3 Let g be -1*(1 + 3) + 3. Let x be (2 + 1)*g*1. Let a be (x/(-2) - 3)*-8. Solve -a = -0*o - 4*o for o. 3 Let i = -226 + 155. Let g = i + 74. Solve g*r + 9 = -0*r for r. -3 Let r(g) = -g**3 - 8*g**2 - 14*g - 10. Let i be r(-6). Solve 8 = -i*o + 2 for o. -3 Let s(g) = -g**3 + 3*g**2 + 5*g - 2. Let m be (-22)/6 - (-4)/6. Let y = 7 + m. Let u be s(y). Solve 0 = -k - u for k. -2 Let w be 123/15 + (-1)/5. Suppose 4*o - 4 - 8 = 0. Let d = 0 + o. Solve d*l = -l + w for l. 2 Let g(o) = 7*o - 72. Let u be g(12). Suppose -3*x - 2*p = -4*p - 1, 4*p = 16. Solve -x*z - u = -0*z for z. -4 Suppose 15*z = 10*z + 10. Suppose 5*p = 25, -z*b - 2*b + 63 = 3*p. Solve b = -x + 5*x for x. 3 Let q = -58 + 58. Suppose -5*f - 3*r + 17 + 27 = q, 3*r - 9 = 0. Solve -f*l = -3*l + 4 for l. -1 Suppose -32 = -m - 4*j, m - 3*j - 8 = -j. Suppose -165 = 9*g - 42*g. Solve -h + m = -g*h for h. -4 Let p = 14 - 26. Let b(a) = -a**2 - 15*a - 7. Let y be b(p). Let l = y + -20. Solve l = -3*d + 21 for d. 4 Suppose 2*c + 3*x = 20, 5*x - 8 = 12. Let k(o) = -o**3 + 11*o**2 - 12*o + 20. Let b be k(10). Solve b*y = -y + c for y. 4 Suppose 8 = 4*a, 2*z - 5*z = 3*a - 24. Let d(v) = -v. Let f be d(-7). Suppose -f + 9 = i. Solve -i*q + z = -5*q for q. -2 Let m(c) = c**3 - 12*c - 10*c**2 + 25 + 37*c - 18*c. Let f be m(9). Solve f*w = 8*w + 2 for w. -2 Suppose -3 = -4*r + 5. Suppose -2*t + r = -t. Suppose t*j = 6*j. Solve j*a + 1 = a for a. 1 Suppose -1045 - 197 = -23*l. Solve -56*k + l*k - 4 = 0 for k. -2 Let t be (-2)/(-1 + -1)*(5 - -2). Let v be 31 + -28 - t*(-2 - -1). Solve -v = 6*p - p for p. -2 Suppose 2*y - 163 = -115. Solve 3*v = -24 + y for v. 0 Let s = 29 - 17. Suppose -s = i + y - 4*y, -5*i + 10 = -y. Solve 1 - 4 = -i*k for k. 1 Let x(z) = z**3 + 2*z**2 + 3*z + 16. Let u be x(0). Solve -2*w - u = -10 for w. -3 Let p be 0*(1 - 0/2). Let c be ((-132)/(-16))/(6*2/32). Suppose -4*r - 5*l = -c, -r + 2*l - 1 = -0. Solve p = a + r*a + 12 for a. -3 Suppose -4*p + 0 + 32 = 0. Let t = 28 - 26. Suppose 3*j + 3*a - 21 = 0, p - 34 = -t*j - 5*a. Solve 0 = -5*r - j - 2 for r. -1 Let d(y) = -10*y - 1. Let z be d(2). Let k be (-8)/28 + (-69)/z. Solve 0 = -0*o - k*o + 9 for o. 3 Suppose 28 = -k + 33. Suppose 0 = -k*v + 6*v. Solve v = -3*l + 7 - 1 for l. 2 Let v be 4/(-3) - 1456/(-39). Suppose o = -2*g + 6 + 4, -v = -4*o - 4*g. Solve 5*u = -o + 3 for u. -1 Let c = -21 + 20. Let u = c + -9. Let w be ((-18)/(-15))/(u/(-25)). Solve h = -w*h - 12 for h. -3 Let g(p) = -10*p + 104. Let j be g(10). Solve 2*n + j + 4 = 0 for n. -4 Suppose -t - 6 = -4*f + 23, -5*f + 3*t + 38 = 0. Solve h + 6 - f = 0 for h. 1 Suppose -5*d - 2*u + 21 = 0, -4*d + 5*u + 10 = 10*u. Solve 5*h + 0 - d = 0 for h. 1 Let o = 39 + -34. Suppose -1 = -3*y + o*q, 5*y + 0*q + 4*q = 14. Solve 4 + y = -3*b
{ "pile_set_name": "DM Mathematics" }
at is -410000 rounded to the nearest one hundred thousand? -400000 Round 1.73958 to 1 dp. 1.7 What is -0.00001093 rounded to five decimal places? -0.00001 Round 385120 to the nearest ten thousand. 390000 What is -0.00002924 rounded to five dps? -0.00003 What is -16120 rounded to the nearest one thousand? -16000 What is 4960000 rounded to the nearest 1000000? 5000000 Round 0.00001786 to 7 dps. 0.0000179 Round 0.537 to 1 dp. 0.5 Round -6229 to the nearest one hundred. -6200 What is 2.888 rounded to zero dps? 3 What is -127325 rounded to the nearest 10000? -130000 Round -0.000010638 to 6 decimal places. -0.000011 What is 0.000027941 rounded to 7 dps? 0.0000279 Round 1690.6 to the nearest 10. 1690 What is 192080 rounded to the nearest ten thousand? 190000 What is -0.000007509 rounded to seven dps? -0.0000075 What is 0.0000129 rounded to 5 decimal places? 0.00001 What is -4610000 rounded to the nearest one million? -5000000 What is 38043.2 rounded to the nearest one hundred? 38000 What is -305990000 rounded to the nearest one million? -306000000 Round 499.4 to the nearest ten. 500 Round -3662 to the nearest one thousand. -4000 What is 521000 rounded to the nearest ten thousand? 520000 Round 300000 to the nearest 100000. 300000 What is 1610.7 rounded to the nearest one hundred? 1600 What is 103925000 rounded to the nearest 1000000? 104000000 What is -168400 rounded to the nearest 10000? -170000 Round -0.00003152 to 5 dps. -0.00003 What is -170.1 rounded to the nearest 10? -170 Round -4.416 to 1 dp. -4.4 What is 0.01222 rounded to four decimal places? 0.0122 Round -1300 to the nearest one thousand. -1000 What is -0.00052971 rounded to 4 decimal places? -0.0005 What is -9386.2 rounded to the nearest 1000? -9000 What is -824160 rounded to the nearest 100000? -800000 Round -0.00001099 to 6 decimal places. -0.000011 What is 0.0076746 rounded to 3 decimal places? 0.008 What is 5606.3 rounded to the nearest 100? 5600 Round -45.28 to the nearest ten. -50 What is -5.687 rounded to 1 dp? -5.7 Round -98.9 to the nearest integer. -99 What is -11074 rounded to the nearest 100? -11100 What is 6440700 rounded to the nearest 100000? 6400000 Round -21332000 to the nearest 1000000. -21000000 What is -4.2533 rounded to one decimal place? -4.3 Round -0.017524 to four dps. -0.0175 Round 0.0005085 to five dps. 0.00051 Round -16.108 to one dp. -16.1 What is 0.0000097 rounded to four dps? 0 Round -395060000 to the nearest 1000000. -395000000 What is 38370 rounded to the nearest one thousand? 38000 What is -236.12 rounded to the nearest integer? -236 Round 3.9651 to one dp. 4 Round -0.00308 to 4 dps. -0.0031 What is 13930 rounded to the nearest 1000? 14000 Round -0.4409 to 1 dp. -0.4 Round -164.141 to the nearest integer. -164 Round -56923000 to the nearest one million. -57000000 Round 399.98 to the nearest integer. 400 What is -24.9 rounded to the nearest integer? -25 What is -0.46843 rounded to 1 decimal place? -0.5 What is -2.2329 rounded to one dp? -2.2 What is -0.000016529 rounded to seven decimal places? -0.0000165 Round -0.10326 to two dps. -0.1 What is -629.1 rounded to the nearest 10? -630 Round -227600000 to the nearest one million. -228000000 What is 3.8167 rounded to two decimal places? 3.82 What is -0.0005017 rounded to 6 dps? -0.000502 What is 0.55166 rounded to 1 dp? 0.6 What is 76340 rounded to the nearest one thousand? 76000 What is 111.2 rounded to the nearest 10? 110 Round -89090000 to the nearest 1000000. -89000000 What is 171.856 rounded to 0 dps? 172 Round -0.000227093 to six decimal places. -0.000227 Round 0.079031 to 3 dps. 0.079 What is -0.0331442 rounded to 3 dps? -0.033 What is 0.0031149 rounded to 4 decimal places? 0.0031 What is -0.000017751 rounded to seven decimal places? -0.0000178 What is 0.00003725 rounded to 6 decimal places? 0.000037 What is -148.89 rounded to zero decimal places? -149 What is 8.7 rounded to the nearest ten? 10 What is 5.7453 rounded to zero decimal places? 6 What is 0.02784 rounded to 4 decimal places? 0.0278 Round 680.56 to 0 decimal places. 681 Round 0.473 to one decimal place. 0.5 What is -58.076 rounded to the nearest integer? -58 Round 0.00096204 to 5 dps. 0.00096 Round -0.0007089 to 5 decimal places. -0.00071 What is 0.000018515 rounded to 6 dps? 0.000019 Round -571.71 to the nearest 10. -570 Round -0.003724 to 3 decimal places. -0.004 Round 279900 to the nearest 1000. 280000 Round -6943.4 to the nearest 100. -6900 What is -311500 rounded to the nearest ten thousand? -310000 What is 0.0000066625 rounded to six dps? 0.000007 Round -3.478 to 1 dp. -3.5 Round -0.002756 to four dps. -0.0028 Round 0.0060669 to 4 dps. 0.0061 What is -562200 rounded to the nearest one hundred thousand? -600000 Round -166000 to the nearest 10000. -170000 Round -828.13 to the nearest one hundred. -800 Round 78.27 to 0 decimal places. 78 What is 0.0014516 rounded to four decimal places? 0.0015 Round 0.00008566 to five dps. 0.00009 What is 322110 rounded to the nearest 1000? 322000 Round 0.02891 to 3 dps. 0.029 Round 1.606 to one dp. 1.6 Round 78.6 to the nearest ten. 80 Round -19.69 to one decimal place. -19.7 What is 0.0000175482 rounded to 6 dps? 0.000018 Round -0.00003211 to 6 dps. -0.000032 What is 0.008804 rounded to three dps? 0.009 What is 816000 rounded to the nearest ten thousand? 820000 What is -0.2942 rounded to 1 dp? -0.3 Round 7851000 to the nearest 100000. 7900000 What is -120.847 rounded to 0 decimal places? -121 Round -1209.5 to the nearest 10. -1210 What is 0.027777 rounded to 3 decimal places? 0.028 What is -651 rounded to the nearest 100? -700 What is -38330 rounded to the nearest 10000? -40000 Round -522.4 to the nearest ten. -520 Round 1219760 to the nearest ten thousand. 1220000 Round -1978.6 to the nearest 10. -1980 What is 5.4378 rounded to one decimal place? 5.4 Round 0.030171 to three dps. 0.03 Round 0.00000078881 to 7 decimal places. 0.0000008 Round 0.000000674 to seven dps. 0.0000007 Round -2881000 to the nearest one million. -3000000 What is -10550 rounded to the nearest one thousand? -11000 What is 449100 rounded to the nearest 100000? 400000 What is 1.217 rounded to 2 dps? 1.22 What is -649.1 rounded to the nearest one hundred? -600 What is -0.093623 rounded to 3 dps? -0.094 Round 4421 to the nearest 100. 4400 What is -0.12127 rounded to three decimal places? -0.121 Round -1662.06 to the nearest 100. -1700 What is 28.41 rounded to the nearest 100? 0 What is 14.709 rounded to the nearest integer? 15 What is -0.008303 rounded to two decimal places? -0.01 Round 2665.8 to the nearest one hundred. 2700 Round 32.636 to zero dps. 33 What is 17.2162 rounded to the nearest ten? 20 What is -2874000 rounded to the nearest one million? -3000000 Round -72800 to the nearest one thousand. -73000 What is -0.08891 rounded to 2 dps? -0.09 What is 1685700 rounded to the nearest one hundred thousand? 1700000 Round 0.000000706 to seven decimal places. 0.0000007 Round 14.549 to 1 decimal place. 14.5 Round 0.000000556 to 7 dps. 0.0000006 What is 6.7283 rounded to the nearest integer? 7 What is 1.6795 rounded to two decimal places? 1.68 What is 49300 rounded to the nearest 1000? 49000 Round 0.00033372 to four decimal places. 0.0003 What is 0.06036 rounded to 3 decimal places? 0.06 Round 2827000 to the nearest one hundred thousand. 2800000 Round 1.94 to the nearest integer. 2 What is -2345300 rounded to the nearest 10000? -2350000 What is 0.000008264 rounded to 5 decimal places? 0.00001 Round 38662 to the nearest one hundred. 38700 Round 6780.5 to the nearest one hundred. 6800 What is -3878.4 rounded to the nearest one thousand? -4000 What is 9173 rounded to the nearest one thousand? 9000 What is -0.2532 rounded to 2 dps? -0.25 What is -585.16 rounded to zero decimal places? -585 What is -0.00000054124 rounded to 7 decimal places? -0.0000005 What is 0.00014703 rounded to 5 decimal places? 0.00015 Round 2.5131 to 1 dp. 2.5 Round 18348000 to the nearest one hundred thousand. 18300000 Round 253.65 to the nearest one hundred. 300 Round 0.0000073481 to six dps. 0.000007 What is 538.5 rounded to the nearest 100? 500 What is -1.988 rounded to 1 dp? -2 Round 0.00021187 to 5 dps. 0.00021 Round 38.366 to the nearest integer. 38 Round 17.967
{ "pile_set_name": "DM Mathematics" }
-1/2, -4/5? -1/2 Let f = -7.04 + 7. Let v = f - -5.04. What is the nearest to 1 in v, -0.1, -0.3? -0.1 Let i(u) = -2*u**2 + 3*u + 4. Let s be i(3). Let r = -41.93 + 43.9. Let d = r - -0.03. What is the nearest to -2/3 in s, 1/3, d? 1/3 Suppose z - 3*g + 0 = -12, 2*g - 8 = -4*z. Let j = -5 + 0. What is the closest to z in -0.4, 4, j? -0.4 Let m = 14 + -11. Which is the nearest to 1? (a) 4 (b) 0.02 (c) m b Let r = 7 - 1. Let d be (-1 + 3)/r + -1. What is the nearest to 1/3 in 2, 3, d? d Let o = 0.22 - 11.22. Let g = o - -8. Let x = 0.41 + -0.01. Which is the nearest to -1/4? (a) 0.1 (b) g (c) x a Let u be -3*((-14)/(-18))/7. What is the closest to u in 0.01, -0.1, 0.4? -0.1 Let n = 8 + -13. Let w = -0.1 - -0.3. Let d(l) = l**2 + 4*l - 1. Let y be d(-5). What is the nearest to w in y, n, -4/7? -4/7 Let n = 0 - 1. Let t = -2 - n. Suppose 6*p = p. Which is the closest to p? (a) 1/2 (b) t (c) -5 a Let m = 3/50 + -23/50. Suppose -2*o - 4 = 2*o. What is the nearest to m in 1, o, 2/7? o Let m = -3.5 + -0.5. Let d = 13/5 + -31/10. What is the closest to 1 in 2, m, d? 2 Let q be 96/80*20/6. Which is the nearest to 0? (a) 1/7 (b) -8 (c) q a Let v = 4.04 + -0.04. Let j = 4.5 - v. Which is the closest to 0.1? (a) j (b) 0.2 (c) 3 b Suppose 2*n + 3*w = -17, 3*w + 4 = -4*n + 7*w. Let v be 42/n*4/(-6). Suppose 2*h + v + 1 = 0. What is the nearest to 1 in 5, -2, h? -2 Let y = 5 + -23/5. Let l = -0.1 - -0.3. Which is the nearest to -0.1? (a) y (b) -1 (c) l c Let x = -49 - -342/7. Which is the nearest to -3/4? (a) 4 (b) x (c) -0.2 c Let m = 257 + -258. Let v = 2.4 - 2. Which is the closest to m? (a) 2 (b) 0 (c) v b Let l be 25/72 + 8/(-36). What is the nearest to -1 in l, -1, 1? -1 Let l = -4.038 - -0.038. What is the nearest to 1/2 in 1/6, l, 1? 1/6 Suppose 4*a + 2 = -3*o, -5*a = 4*o - 0*o + 2. What is the closest to o in 0, 5, 4/7? 4/7 Let l be ((-2)/6)/((-2)/(-3)). Let w = 16/5 + -18/5. Let x be (-6)/(-8) - (-82)/(-88). Which is the closest to l? (a) 3 (b) x (c) w c Let q = -7.4 + -0.6. Let g = q - -7.7. What is the closest to -1/2 in g, 2/5, -3/5? -3/5 Let i be (-27)/30 + 2/5. Let h = 17 - 22. What is the nearest to 1 in -4, h, i? i Let k be 6/(-27)*(1 - 4). Let x = -1.8 - -2. Let t = -0.64 + 3.64. Which is the nearest to k? (a) x (b) -0.5 (c) t a Let c be ((-1)/(-2))/(11/(-22)). What is the nearest to c in -0.4, -0.2, -2? -0.4 Let j = 134.7 - 143. Let o = -1.3 - j. Let m = 11 - o. Which is the closest to 1? (a) -1/2 (b) m (c) 1 c Let h(s) = -s**3 - 7*s**2 - 5*s + 6. Let f be h(-6). Let g = -2 - f. Let p be 5*1/(5/g). Which is the closest to -1? (a) 0.2 (b) p (c) 1/7 b Let i = 0 - -0.2. Let n = -121.8 + 122. Which is the nearest to i? (a) 0.5 (b) 3 (c) n c Let g be (-4)/(-6)*(-21)/(-28)*6. What is the nearest to g in -1, -2, 0.2? 0.2 Let k = 0.044 + -0.094. What is the nearest to 2 in 0.3, -1, k? 0.3 Suppose 0 = -0*h + h - x - 3, 5 = x. Suppose -2*v - 7 - 9 = 4*g, -3*v - 2*g - h = 0. What is the closest to v in 5, 1, 0.5? 0.5 Let u = -2 - -1.7. Let f be 0 - ((-3)/4)/(21/(-8)). Let y = -6 + 6.3. What is the closest to f in y, 4, u? u Let v be 1/(-5)*(-5)/4. Let z be ((1 - 2)*-4)/14. What is the nearest to 0.2 in 5, z, v? v Suppose -24 = 2*r - 5*r. Let j = 10 - r. Let f = 5.8 - 0.8. Which is the nearest to -1? (a) -0.2 (b) j (c) f a Let p be ((-4)/(-33))/((-2)/(-3)). Let i = -72.8 + 73. What is the closest to 0.1 in p, i, 5? p Let p = 116 + -119. Which is the closest to 6? (a) p (b) -0.3 (c) 7 c Let y be ((-4)/10)/(11/(-15)). What is the nearest to -0.1 in -0.4, y, -5? -0.4 Let p be 0 - (-2)/7 - 0. Let r = 7 + -10. Let d = r + 5. What is the nearest to p in 1, d, 0.3? 0.3 Let r(a) = -a**2 + 6*a - 1. Let n be r(7). Let b be n/(-20) - 22/5. Let v = -61/260 + -1/65. What is the closest to v in b, -3, -3/4? -3/4 Let d = 3 + -2.6. Let f = -1.7 - -1.8. Which is the closest to -1? (a) f (b) -0.3 (c) d b Let u be (-2)/(-3)*1 + (-896)/1470. What is the nearest to -1/4 in u, 2/9, 2? u Let s = -450.7 + 470. Let m = s - 18. Let u = -1 + m. What is the closest to -1 in 1/5, -1/3, u? -1/3 Let s = -2.1 + 10.1. Let w = 7 - s. Which is the nearest to w? (a) 3 (b) -4 (c) -2/9 c Suppose r - 2*r = -3. What is the closest to -0.1 in -1/4, 0.4, r? -1/4 Let n = 3 + -2.6. Let z = 2 + -2. Let i be 4/14 - 4/21. Which is the nearest to z? (a) n (b) i (c) -0.3 b Let k = 109.9 + -110. Which is the nearest to 9? (a) 1 (b) -2 (c) k a Let n = 0.09 + -0.49. Let g = 0.2 - 0. Let y = -0.3 - -1.3. What is the nearest to y in n, g, -2? g Let g(t) = -t**3 + 3*t**2 - t - 1. Let r be g(2). Let z = 84 + -82. Which is the nearest to 1? (a) z (b) -0.4 (c) r c Let v be (77 + -3 + 4)/(-1). Let i = v - -238/3. Which is the closest to -0.2? (a) i (b) -3 (c) -5 a Suppose 0 = -3*t - 6, -15 = 2*p + p + 3*t. Which is the nearest to 0.1? (a) p (b) 2/7 (c) -0.5 b Let y = -16/15 - -53/45. Which is the nearest to 1/3? (a) y (b) 0 (c) -1 a Let b = 0.1 - 0.2. Let m = 27 - 18. Let g = 14 - m. What is the nearest to b in 2, g, -2/13? -2/13 Let n = -55/37 + -1/74. Let v = -198 - -204. Which is the nearest to -1? (a) -3 (b) n (c) v b Let q = -2 + -2. Which is the nearest to 1? (a) -2/3 (b) q (c) -3/5 c Let y = -16 + 8. Let s = y + 11. Suppose 20 = 2*g + g + 5*v, -4*v + 16 = -2*g. What is the closest to 2 in g, s, -0.5? s Let j = 1 - 1.1. Let i = -19 - -16. What is the closest to -3 in j, 1/7, i? i Let z(k) = -k - 8. Let w be z(-4). Which is the closest to 2/7? (a) w (b) -0.5 (c) -0.2 c Suppose 3*n - 8 = -n. Suppose -3 = n*c - 17. Let f be -3 - -3 - (-2)/c. What is the nearest to f in 1/3, 0, -0.2? 1/3 Let h = -3056/11 + 278. What is the closest to 1/4 in 0.4, h, 1? h Let k = 0.8 - 0.3. Let x be (-18)/(-1)*12/18. Let m be ((-4)/(-10))/(x/30). What is the closest to m in 0, k, -0.1? k Let n = -3.6 + 0.6. Let i = n + 3.1. Let m = -13/57 - -1/171. Which is the closest to i? (a) m (b) -2/3 (c) 1 a Let m = -7 + 10. Let v = 2.5 - m. Let y = 0.43 - 0.23. Which is the closest to -1? (a) -0.3 (b) y (c) v c Let t be (-1)/(-6) + (-1025)/246. Which is the closest to -1? (a) 1/4 (b) -14 (c) t a Let f = 0.4 - 0.2. Let x = 3.52 - -0.18. Let t = x - -1.3. What is the nearest to -2 in f, t, -0.4? -0.4 Let p = -6 - -5. Which is the closest to 1? (a) -5 (b) p (c) -4 b Let n = 0.8 + -0.5. Let q = 6 - 6.3. Let j be (20/25)/((-2)/5). What is the nearest to 0.1 in q, j, n? n Let v = -3 + 3.6. Let d = v + -0.6. What is the closest to 0.1 in 0.1, 0.5, d? 0.1 Let z = 1 - 1. Let x = -108.4 + 108. Which is the closest to z? (a) -0.2 (b) x (c) -0.1 c Suppose -4*n - 4 = 8. Let y = -4 - n. Let i be 81/15 + (-6)/15. What is the closest to y in i, -3, -2/9? -2/9 Let g be (1 + -4)*3/(-45). Which is the closest to 1? (a) -2 (b) g (c) 2/5 c Suppose 66 = 6*j - 24. Let k be 6/15 + 69/j. Which is the nearest to 2? (a) -4 (b) k (c) 0.5 c Let m be (1 - (0 + 4/2))*3. What is the nearest to -2/7 in -1, 2, m? -1 Let j = -2.25 - -0.25. Which is the closest to j? (a) 0.3 (b) -0.4 (c) 2/7 b Let g = -7 + 9. Let p = 0.09 + 0.31. What is the closest to -0.1 in 0, p, g? 0 Let a = 0.0605 - 0.0605. Let s = -1/311 - 613/2799. What is the closest to a in s, -3, 2/7? s Let o = 372 - 372.3. Let r be (-7)/(-5) + 6/(-15). What is the closest to r in 4, -5, o? o Let i(r) = 3*r - 26. Let l be i(-11). Let s be (-706)/8*(-2)/(-3). Let v = l - s. What is the nearest to -0.1 in v, 2/5, 1? v Let t be (7 + -12)/(3 + -2). Let v = 0.1 - 0.4. Which is the nearest to 0? (a) 1 (b) v (c) t b Let w be -2 - ((-4)/6 - 1). Let p be (-4)/14 + 24/(-210). Let y = -6 - -4. Which is the closest to y? (a) p (b) w (c) -1/6 a Let r = 2 + -4. Let h be 6/(-9) + 40/(-3). Let u = -10 - h. What is the nearest to 0 in 1, r, u? 1 Let d = -0.9 - -1. Suppose 0 = -17*t + 9*t + 32. Which is the closest to d? (a) t (b) 0.5 (c) 2 b Let o = 4 + -8. Let b = -3 - o. What is the closest to b in -3, 1/4, -1/5? 1/4 Let l = 1 + 0. Let x be 3/(-9)*182/(-3). Let s = -3112/153 + x. Which is the closest to l? (a) 5 (b) s (c) 0.1 c Let z be (((-2)/(-8))/1)/(78/104). What is the nearest to 0.1 in 0.2, 3/8, z? 0.2 Let w = 9 - -20. Suppose 2*f + 0 = 3*m - w, -3*f - 18 = 4*m. Let u be (f/9)/(12/(-18)). Which is the c
{ "pile_set_name": "DM Mathematics" }
*p. Let z = 451 - p. Is z a prime number? True Let x = 17 - 9. Let s = -5 + x. Suppose -3*w + c - s*c = -481, -w - c = -160. Is w prime? False Is -6 - (24/6 - 7725) a composite number? True Suppose -5*h + 11 = 1. Suppose 2*g + 1399 = d, 3192 - 394 = h*d - 2*g. Is d a composite number? False Let h be (0 + -4)/(21/(-84)). Suppose -4*w = 4*r + 12, -4*r - h = -4*w + 12. Suppose -3*g = 4*m - 2683, -g + w*m + 1770 = g. Is g a composite number? True Suppose -4*l - l + 6*q = -110270, -3*l - 5*q = -66162. Is l a composite number? True Let d = -76278 - -112192. Is d composite? True Let r(i) = i**3 - 16*i**2 - 2*i + 35. Is r(18) a prime number? True Is 4/54 - (-29537913)/1539 a composite number? True Is 4*30568/48*6/4 a composite number? False Let v(o) = -o**3 + 6*o**2 + 9*o - 3. Suppose 0 = 2*p + 1 - 13. Let b be v(p). Suppose 172 = 5*g + h, 0 = g - 2*h - b + 10. Is g a prime number? False Suppose 62213 + 91109 = 26*k. Is k a composite number? False Suppose -2*k + 4206 = -2890. Suppose 1894 = 6*v - k. Is v prime? True Let c(d) = -d**3 - 4*d**2 - 9*d + 11. Let s be c(-14). Suppose 0*p - s = -2*l - 5*p, 3163 = 3*l + 4*p. Is l prime? True Let u(g) = 12*g**3 + 11*g**2 - 22*g + 41. Is u(6) a prime number? True Let s(t) = t**3 - 56*t**2 + 62*t - 15. Is s(56) a composite number? False Let a(j) = -j + 8. Let f(t) = -2*t + 9. Let z(h) = -4*a(h) + 3*f(h). Let k be z(-4). Suppose k*c - 407 = -2*i, 3*i + 0*c - 608 = -5*c. Is i composite? False Suppose -l + 5*w + 4722 = 0, -2*l + 34*w = 32*w - 9468. Is l a prime number? False Let p = 8 - 2. Suppose -5*d - p*u + 10 = -2*u, -10 = 2*u. Is 20/6*747/d prime? False Let m(t) = -70*t + 37. Let c(a) = 23*a - 12. Let l(r) = 7*c(r) + 2*m(r). Suppose 2*d - 4*b - 20 = 0, -d - b - 2*b = 5. Is l(d) a composite number? True Let u(m) = -9*m. Let b be u(1). Let g = -27 - b. Let k = g - -53. Is k a composite number? True Let g = -57 - -1926. Suppose -z - 6*z = -g. Is z prime? False Let j be ((-38)/4)/(3/1002). Let u = 4492 + j. Is u prime? True Suppose -2*r = r - 4*d + 4, 2*d + 8 = 4*r. Suppose 1482 = 3*v - 3*j, -414 = -2*v + r*j + 564. Is v prime? True Let b(g) = -6*g - 105. Let k be b(-10). Suppose -5*i = -0*y - 3*y + 224, -3*y + 4*i + 220 = 0. Let l = y + k. Is l prime? True Suppose -3*h + 6*h = -3*r, 2*r = -8. Suppose -4*b + 6690 = 2*l, -5017 = -h*b - 4*l + 1671. Is b prime? False Let y(c) = -47*c + 1. Let b(t) = 46*t. Let v(m) = -4*b(m) - 5*y(m). Let r be v(5). Let s = r - 35. Is s a prime number? False Let n(q) = -q**2 - 10*q - 12. Suppose 7*z = 2*z - 40. Let s be n(z). Suppose -3*o + 777 = l, 2*l + 1295 = o + s*o. Is o composite? True Let b = -33 + 79. Suppose -725 = b*h - 51*h. Is h prime? False Let y(s) = s**3 + 7*s**2 - 8*s + 6. Let o be y(-8). Let b be ((-4)/o)/(18/(-567)). Let p = b - -10. Is p prime? True Let o(b) = -362*b + 19. Is o(-2) a composite number? False Let d = -44 - -32. Let h(i) = 3*i**2 - 4*i - 9. Is h(d) a composite number? True Let v be (2/3)/((-22)/33). Let r = v - -5. Suppose -5*p = -5*f + 110, 3*f - 41 - 21 = r*p. Is f a prime number? False Suppose 9008 - 827 = d + 5*r, -5*d + 3*r + 40961 = 0. Suppose 3*f = 2*h + 10041, 4*f - d - 5197 = -3*h. Is f a composite number? False Suppose 0 = -5*x - 47 - 38. Let s be x*51*(-2)/(-3). Let n = 1095 + s. Is n composite? True Let t = 29 + -11. Suppose -q + t = 2*q. Suppose 0 = -v + q*v - 475. Is v prime? False Suppose 0 = 14*m - 47694 - 36040. Is m prime? True Let o(n) be the first derivative of -n**3/3 + 17*n**2 - 16*n - 36. Is o(11) a prime number? False Let o = 32 - 13. Is o*6 - (-4)/1 composite? True Let h(x) = x**3 - 2*x**2 - 3*x + 4. Let p be h(3). Suppose 150 = 2*n + 3*u, -n + u + u = -61. Suppose l = -2*j + 1, -4*l + n = -j - p*j. Is l a prime number? True Let w(k) = 1922*k - 9. Is w(5) prime? True Let q = -22 + 7. Let h = 120 - -28. Let x = q + h. Is x prime? False Suppose 17 = 5*o - 2*s - 5, 0 = 5*o - 5*s - 25. Suppose -5*h + o*b = 35, 3*b = h - b - 9. Is (-3705)/h + 2/11 composite? False Is (11/(-2))/((-5)/150*3) a prime number? False Let g be (-138)/((7 - 4) + -4) - -1. Suppose g = -5*l + 2004. Is l prime? True Let m(f) = f + 7. Let l(s) = 1. Let v(k) = -3*l(k) - m(k). Let o be v(-8). Is -1*(-15 - (o + 6)) prime? True Is 7*255 + (-248)/31 composite? False Let o = 4 - -103. Suppose o*m = 111*m - 388. Is m a prime number? True Suppose 24*r = 21*r - 4020. Let v = r - -2019. Is v a prime number? False Let f = -5 + 20. Is ((-115)/f)/((-3)/63) composite? True Let i(s) = 6*s**2 + 18*s + 2*s**2 - 5 + 9*s - 9*s**2. Is i(9) prime? True Let t = 315 + 724. Is t a composite number? False Let m be 0/1 + 148*36. Suppose 0 = 6*k - 14*k + m. Suppose 0 = -5*h + k + 119. Is h a prime number? True Let d = -15207 - -21418. Is d a prime number? True Let d = 1131 + 181. Let g = -810 + d. Is g prime? False Suppose 4*x = 4*j - 49224, 4*j - 27667 = -x + 21562. Is j a prime number? False Let r(n) = -3*n**2 - 5*n + 3. Let l(i) = 7*i**2 + 11*i - 6. Let m(k) = -2*l(k) - 5*r(k). Let z be m(-3). Let h(d) = -70*d + 3. Is h(z) composite? True Let i(o) = -1509*o - 52. Is i(-7) prime? False Suppose 3*y = 13 + 23. Suppose 9*h - y*h = -159. Is h composite? False Is (-6)/8 - (12 - 69560/32) composite? False Suppose -3*c - 2403 = -2*d + 778, -3*d + 3*c = -4770. Is d prime? False Let n(r) = -5*r - 25. Let q be n(-6). Suppose -3*j + 244 = q*v - 504, -2*j + 3*v = -505. Is j prime? True Suppose 18*r - 10315 = 3203. Is r composite? False Let h = -5431 - -15074. Is h composite? False Let c(q) = 443*q**3 - 7*q**2 + 6*q - 19. Is c(3) composite? False Let y(f) = -f**3 - f**2 + 6*f + 7. Let l be y(-6). Suppose g - 278 - l = 0. Suppose -3*h = -0*h - g. Is h a prime number? False Let p(i) = 11*i - 1. Let t(y) be the third derivative of y**5/60 + y**4/3 - 4*y**3/3 + 5*y**2. Let c be t(-9). Is p(c) prime? False Let d(c) = 3 + 9*c + 1 - 4 + 10. Is d(3) prime? True Let m(b) = 5*b + 40. Let r be m(-8). Suppose -5*l + 4099 = 2*d, d + 3 = -r*d. Is l a composite number? False Let s = -6517 - -9660. Suppose -4*h - 3*h = -s. Is h a composite number? False Suppose 0*w + 5*u = w - 30, 50 = 5*w - 5*u. Let y(c) = 11*c**2 - c - 7. Is y(w) composite? False Let q = 8465 - 4348. Is q a prime number? False Let p(s) = 9*s**2 + 15*s + 13. Let r(z) = 8*z**2 + 15*z + 14. Let d(a) = 7*p(a) - 6*r(a). Is d(-6) composite? False Is -6*(-8 - 13239/18) a composite number? True Let c(x) = -16*x + 3. Let z(o) = o**3 + 5*o**2 + 8. Let l be z(-5). Let a be c(l). Let t = 210 + a. Is t a composite number? True Let f be (26/(-78))/((-2)/3246). Let y = f - -1096. Is y a composite number? False Suppose 0*n = -n + 15. Suppose -4*v = n + 1. Is 1044/28 - v/(-14) a prime number? True Let u = 1655 + -884. Is u a prime number? False Is (120/(-80))/(3/(-358)) composite? False Suppose -4*f = -5*f + 3. Let g(q) = -5*q**2 - 2*q + 3 - q**f - q**2 - 2*q**2. Is g(-10) a prime number? True Let o be (8/(-20))/(3/(-30)). Suppose -5*x + 3*l - 6*l = 2, 4*x = o*l + 24. Suppose -2*m - x*d + 1075 + 441 = 0, -3*m + d = -2286. Is m composite? False Let g = 17 + -11. Suppose -2*r = -5*r - 2*q + 14, -r - 2*q + g = 0. Suppose -3*i = 5*p - 93, -3*p + 7*p - 124 = -r*i. Is i a composite number? False Is (24/32)/(15/326020) a prime number? True Suppose -t - 16 = -s + 2*t, -s = 2*t + 4. Let h = 4 - s. Is h + (-3 - (-280)/4) composite? False Suppose 432316 - 160088 = 44*p. Is p prime? False Suppose 21 = 5*k + 6. Suppose 4*q - 7326 = -2*v, 0*v + 11001 = 3*v + k*q. Is v prime? True Let v be ((-18)/(-4))/1 - (-2)/4. Suppose 3*a = -v*m + 1003 + 885, 4*a = -m + 381. Is m composite? True Let q = -1943 + 3580. Is q prime? True Let g(h) = 2065*h + 14. Let q be g(3). Suppose -q = -10*w - 839. Is w prime? False Let q = 39677 + -20330. Is q a prime number? False Suppose 11*f - 10*f = 4. Suppose f*w - c = 1879, 4*c = -2*w + c + 929. Is w a composite number? True Let o(n) = n**2 - n + 1. Let b be o(2). Suppose -q + 2*f - 1494 = -5*q, 3 = b*f. Is q a prime number? True Suppose -4*u = -2*u - 4*i - 9784, -3*i + 14685 = 3*u. Is u prime? False Let i be ((-2)/1)/(((-12)/(-423))/(-2)). Let y = i + 152. Is y a composite number? False Let z(p) = 27*p - 8. Let t = 12 - 7. Is z(t) prime? True Let i(z) = 19*z**2 + z + 7. Let v be 39/(-4) - 21/(-28). Let p = -13 - v. Is i(p) a prime number? True
{ "pile_set_name": "DM Mathematics" }
be the first derivative of -5/8*k**4 + 0*k - 1/2*k**3 - 28 - m*k**5 + 9/4*k**2. Factor f(u). -u*(u - 1)*(u + 3)**2/2 Let j be ((-1104)/10304)/((9/10)/((-6)/5)). Factor -1/7*u**4 - j*u + 1/7*u**3 - 2/7 + 3/7*u**2. -(u - 2)*(u - 1)*(u + 1)**2/7 Let x(g) = 47*g - 227. Let s be x(5). Factor -12 + 20 - 9*z**3 + s - 2*z**4 + 28*z + 6*z**2 + z**3. -2*(z - 2)*(z + 1)**2*(z + 4) Factor -31*d + 110 - 4*d**2 + 151*d + 14. -4*(d - 31)*(d + 1) Suppose 2*p - 3 = -5*n + 8, -3*p + 6 = 4*n. Solve -44*i**2 - 6*i + 9*i**3 + 178*i - 40 - 25*i**n = 0 for i. -5, 1/4, 2 Solve 0 + 4/7*g**5 - 4/7*g**3 + 0*g - 4*g**4 + 4*g**2 = 0. -1, 0, 1, 7 Find v such that -304*v**2 - 304*v**2 - 6*v + 607*v**2 + v + 16 - 10*v = 0. -16, 1 Let n = -962028/7 + 137433. Factor -3/7*m**3 + 1/7*m**4 + n*m - 1/7*m**2 + 0. m*(m - 3)*(m - 1)*(m + 1)/7 Let x(m) = 8*m**2 + 392*m. Let h(v) = -2*v**2 - 2*v. Let u(j) = -6*h(j) - x(j). Factor u(l). 4*l*(l - 95) Let o(b) be the third derivative of b**6/24 + b**5/3 - 55*b**4/24 + 5*b**3 - 32*b**2 - 2. Find u such that o(u) = 0. -6, 1 Suppose -5*z - 3*x = -6*z + 2, 6 = 3*z - 5*x. Factor -1418*h - 19*h**z + 1418*h - 5*h**3 + 4*h**2. -5*h**2*(h + 3) Let v be -3*20/(-6)*1. Suppose 0 = v*d - 18 - 12. Suppose 6/5*z + d*z**4 + 21/5*z**2 + 0 + 3/5*z**5 + 27/5*z**3 = 0. What is z? -2, -1, 0 Let f(d) be the first derivative of -3*d**4/14 + 184*d**3/21 - 307*d**2/7 + 540*d/7 + 5195. Solve f(h) = 0. 5/3, 2, 27 Let a(s) be the third derivative of -4/3*s**3 - 104*s + s**2 + 0 - 1083/20*s**6 - 1007/10*s**5 + 56/3*s**4. Determine u, given that a(u) = 0. -1, 2/57 Let p(a) be the third derivative of 0 + 7/9*a**3 + 66*a + 3*a**2 - 17/216*a**4 + 1/540*a**5. Suppose p(g) = 0. What is g? 3, 14 Let s(f) be the second derivative of -f**4/15 + 356*f**3/15 - 354*f**2/5 + 1459*f. Factor s(k). -4*(k - 177)*(k - 1)/5 Let y(x) = -4*x**3 + 3717*x**2 - 1153209*x + 119164012. Let z(q) = -8*q**3 + 7433*q**2 - 2306421*q + 238328028. Let u(n) = 7*y(n) - 3*z(n). Factor u(p). -4*(p - 310)**3 Let d(m) be the second derivative of 3 - 7*m + 0*m**4 + 2/7*m**3 + 0*m**2 - 9/140*m**5 - 1/70*m**6. Factor d(o). -3*o*(o - 1)*(o + 2)**2/7 Let w be 2/(-9) - (2849/(-63) - -6). What is z in 34 - 100*z + w*z**2 - 15*z**2 - 18 = 0? 1/6, 4 Let x(o) be the second derivative of o**5/10 - 23*o**4/6 + 134*o**3/3 - 112*o**2 + 19*o - 96. Determine j so that x(j) = 0. 1, 8, 14 Let u(h) = 24*h**3 + 3837*h**2 + 183362*h - 46088. Let p(s) = 2*s**3 + s**2 + s - 4. Let c(n) = 2*p(n) - u(n). Factor c(t). -5*(t + 96)**2*(4*t - 1) Let j be (-21)/(-7)*(-11664)/(-128). Determine z so that -j - 3/8*z**2 - 81/4*z = 0. -27 Let u be (-7)/(98/8)*(1/(7/(-252)) - -6). Solve -u*r**2 - 48/7*r + 0 - 99/7*r**3 - 30/7*r**4 - 3/7*r**5 = 0. -4, -1, 0 Let m(x) be the third derivative of x**5/140 - 13*x**4/14 + 48*x**3 - 3664*x**2. Factor m(k). 3*(k - 28)*(k - 24)/7 Let a be 26/(-4) + (-6)/(-4). Let f be (a + 2/1)/(3/(-11)). Factor -f*l**2 + 4 + 2*l - 2 - 5*l + 12*l**2. (l - 2)*(l - 1) Let c be (15/((-540)/(-234)))/(14 + -1). Determine l so that -11*l**4 - 47/4*l**3 - 3*l**2 - 3*l**5 + 5/4*l + c = 0. -2, -1, -1/2, 1/3 Suppose -4*q + 2*u - 4 = 0, -5*q - 3 = -u - u. Factor 44*d + 5220*d**3 + q - 5228*d**3 - 12*d**2 + 4 + 19. -4*(d - 2)*(d + 3)*(2*d + 1) Determine g so that -124/13*g - 2/13*g**3 + 46/13*g**2 + 80/13 = 0. 1, 2, 20 Let r = -15/10279 - -123513/113069. Solve -r + 6/11*p - 60/11*p**3 + 6*p**2 = 0 for p. -2/5, 1/2, 1 Factor -22*w**5 - 19*w**5 + 37*w**5 + 271*w**2 + 108*w**4 + 485*w**2 - 188*w**3 - 352*w**3. -4*w**2*(w - 21)*(w - 3)**2 Let x(z) be the first derivative of -z**5/30 + 5*z**4/12 + 2*z**3 - 29*z**2/2 + 4*z + 134. Let s(t) be the second derivative of x(t). Let s(p) = 0. What is p? -1, 6 Let w be (-11)/21 - 4/(-6). Let b = -16825409/7 + 2403630. What is t in 0*t + 1/7*t**3 - b*t**2 + w*t**4 - 1/7*t**5 + 0 = 0? -1, 0, 1 What is j in 1/4*j**3 + 12*j + 0 + 19/4*j**2 = 0? -16, -3, 0 Find k such that -536/9*k - 10/3*k**2 + 8 = 0. -18, 2/15 Let p = 7 - 3. Let a be (-51)/34*(76 - 78). Let -4/9 - 2/9*g**2 + 2/3*g**p + 10/9*g**a - 10/9*g = 0. What is g? -1, -2/3, 1 Let v = 3/982 - -973/2946. Let i(o) be the second derivative of 0 + 13*o - 2*o**3 + v*o**4 + 0*o**2. Factor i(x). 4*x*(x - 3) Let i(z) = -z**3 + 2*z**2 + 36*z + 1. Let p be i(7). Let q be p + -2 - (15/5 + 1). What is r in -4/9 - 2/3*r - 2/9*r**q = 0? -2, -1 Suppose -4/7*v**2 - 9488/7*v - 5626384/7 = 0. What is v? -1186 Find i such that 0 - 3/4*i**4 - 27/2*i - 15/2*i**3 - 81/4*i**2 = 0. -6, -3, -1, 0 Let f be 12*11/(-308) - (-188)/(-1410)*591/(-14). Factor 0*v + f*v**3 + 0 - 4/5*v**4 + 14/5*v**2. -2*v**2*(v - 7)*(2*v + 1)/5 Let d(q) be the third derivative of 5*q**5/24 - 10*q**4/3 - 11*q**3/4 + 11*q**2 + 17. Factor d(h). (5*h - 33)*(5*h + 1)/2 Let t(l) be the first derivative of -l**5/20 - 21*l**4/8 + 11*l**3 + 21*l**2/2 - 4. Let j(m) be the second derivative of t(m). Let j(s) = 0. Calculate s. -22, 1 Let -523 + 16891*h**2 + 712*h - 185 - 16895*h**2 = 0. Calculate h. 1, 177 Let o be -2 + 32 + (0 - 7) - 5. Let i be (9/108)/(12/o). Factor i*b**2 + 1/8 - 1/4*b. (b - 1)**2/8 Suppose 2*y = 3*r + 2*r + 4, 2*r + 5*y = -19. Let v be 4 + (r - -3) - 3. Suppose -21 + v*j**3 - 19 + 48 - 6*j**2 = 0. What is j? -1, 2 Let c be (-42)/(-3) - (-1343)/(-96). Let v(w) be the third derivative of 1/80*w**5 - 1/120*w**6 + 0*w**3 + w**2 + c*w**4 + 0*w + 0. Factor v(a). -a*(a - 1)*(4*a + 1)/4 Suppose 10*w = 7*w + 99. Suppose -w*l - 4 = -34*l. Factor 4*k**2 + 4 - 16*k + 7*k**2 - l*k**2. (k - 2)*(7*k - 2) Suppose 9*z - 41 + 14 = 0. Suppose 39*i - z = 38*i. Factor -2/7*n**i - 8/7*n + 0 + 8/7*n**2. -2*n*(n - 2)**2/7 Let s be 3 + (-5 - 3/(-1))/(-1). Solve 72 + 11*a**3 + 306*a**2 - 12*a - 60 - 3*a**s + 4*a**3 + 3*a**4 - 321*a**2 = 0. -2, -1, 1, 2 Let v = 983047023/301429430 + 6/972353. Let t = v - -21/62. Suppose 3/5*d**2 - t + 3/5*d = 0. Calculate d. -3, 2 Let q be 7 - (6 + -1)*1. Find w, given that 18*w - 1 + 5 - 10*w**3 + 0 - 25260*w**2 + 25248*w**q = 0. -2, -1/5, 1 Let f be (-9)/(-30) + (-814)/(-370). Let q(r) be the first derivative of 5/4*r**4 - f*r**2 - 16 - 5*r**3 + 15*r. Suppose q(o) = 0. What is o? -1, 1, 3 Suppose 116*p**3 - 160 + 157*p**2 + 234*p**3 - 41*p**2 + 16517620*p + 92*p**4 - 16517756*p + 6*p**5 + 172*p**2 = 0. What is p? -10, -4, -1, 2/3 Let f(b) be the first derivative of -b**4/10 - 2*b**3/3 + 13*b**2/5 - 261*b - 18. Let r(n) be the first derivative of f(n). Factor r(z). -2*(z - 1)*(3*z + 13)/5 Solve 16/7*i**2 + 6/7 + 40/7*i - 52/7*i**3 - 22/7*i**4 + 12/7*i**5 = 0. -1, -1/6, 1, 3 Suppose -5*c = -16*c + 22. Determine h so that 8 - 15*h**c + 12*h**4 + 4*h**5 - 31*h**2 + 8 - 4*h**3 + 18*h**2 = 0. -2, -1, 1 Let u(i) be the second derivative of i**4/30 - 688*i**3/15 + 118336*i**2/5 + 7770*i. Solve u(b) = 0. 344 Suppose 3*b + 3*c + 36 = 0, 6*b - 6*c - 124 = 2*c. Find h, given that 90*h - 12*h**b + 2/5*h**3 + 0 = 0. 0, 15 Let b = 1234/3405 - 33/1135. Factor 0 + 2/3*g**4 + b*g**5 + 0*g - 2/3*g**2 - 1/3*g**3. g**2*(g - 1)*(g + 1)*(g + 2)/3 Let p(j) be the second derivative of -18*j + 0 + 17/39*j**3 + 16/13*j**2 + 1/78*j**4. Find y, given that p(y) = 0. -16, -1 Let p(c) be the third derivative of 13/54*c**4 - 6 - 1/270*c**5 + 0*c + 3*c**2 - 16/9*c**3. Let p(g) = 0. Calculate g. 2, 24 Suppose 5*w + 8 = -t, 155*t + 5*w = 152*t - 4. Let k(f) be the second derivative of 2*f**t + 1/3*f**4 + 0 - 4/3*f**3 - 23*f. Factor k(d). 4*(d - 1)**2 Let i = 117939/7 - 471735/28. Factor 0 + 9*c**2 - i*c**4 - 12*c + 0*c**3. -3*c*(c - 2)**2*(c + 4)/4 Let u be -7 - (-9 - 0/(-3) - 180/180). Suppose -21*o + 3/2 + 99/2*o**2 + 96*o**4 + 168*o**u = 0. Calculate o. -1, 1/8 Determine z so that -60*z + 15*z**3 + 49 + 49254*z**2 - 49244*z**2 - 9 - 5*z**4 = 0. -2, 1, 2 Suppose 5*l - 40 = -5*s, l + l + 3*s = 21. Let z be (-4 - (-2 - 13))/(l/6). Solve -2*q + 7*q**2 - z + 22 + 9*q**3 = 0 for q. -1, 0, 2/9 Let g = 5917 - 5912. Let j(p) be the third derivative of -11*p**2 - 1/100*p**6 - 1/60*p**4 + 0*p**3 + 0*p + 0 + 2/75*p**g. Factor j(u). -2*u*(u - 1)*(3*u - 1)/5 Let h be 1592/378 - 2012/(-72432)*(-16)/(-6). Factor 26/7*q**2 + 4/7 + h*q. 2*(q + 1)*(13*q + 2)/7 Find w such that -28/3*w**2 + 104/3*w - 20 = 0. 5/7, 3 Let r be 7 - (-2 - (0 + 2 + -9)). Let y = -2 - -4. Solve -16 + n**2 + 12*n - n**r + 4*n**y = 0 for n. -4
{ "pile_set_name": "DM Mathematics" }
nominator of 85/14 and -19/174. 1218 Calculate the smallest common multiple of 76 and 28. 532 Calculate the common denominator of 103/6 and -101/4. 12 What is the common denominator of -59/44 and -1/44? 44 Find the common denominator of -55/32 and 69/28. 224 What is the smallest common multiple of 98 and 4? 196 What is the least common multiple of 18 and 34? 306 Calculate the smallest common multiple of 12 and 378. 756 Calculate the common denominator of -33/68 and -99/2. 68 What is the common denominator of -81/28 and -173/1848? 1848 What is the smallest common multiple of 48 and 648? 1296 Calculate the least common multiple of 1338 and 7. 9366 Find the common denominator of -64/15 and -62/165. 165 Find the common denominator of -35/201 and -28/3. 201 Calculate the lowest common multiple of 119 and 102. 714 What is the smallest common multiple of 204 and 24? 408 What is the lowest common multiple of 21 and 30? 210 Find the common denominator of -11/20 and 3/2740. 2740 What is the lowest common multiple of 855 and 45? 855 What is the least common multiple of 52 and 7? 364 Calculate the least common multiple of 126 and 14. 126 Calculate the lowest common multiple of 9 and 2130. 6390 Calculate the least common multiple of 1881 and 54. 11286 What is the smallest common multiple of 245 and 7? 245 What is the smallest common multiple of 6 and 144? 144 What is the least common multiple of 50 and 20? 100 What is the lowest common multiple of 204 and 11? 2244 What is the least common multiple of 158 and 10? 790 Calculate the common denominator of -1/11669 and -4/18337. 128359 Calculate the lowest common multiple of 87 and 72. 2088 What is the common denominator of -1/7 and -52/1551? 10857 Find the common denominator of -43/78 and -49/559. 3354 Calculate the common denominator of 101/1808 and 77/74. 66896 Calculate the least common multiple of 3717 and 1593. 11151 Find the common denominator of 157/2100 and 51/200. 4200 What is the smallest common multiple of 966 and 4? 1932 What is the common denominator of 73/408 and -55/48? 816 What is the least common multiple of 288 and 576? 576 What is the least common multiple of 160 and 112? 1120 Calculate the smallest common multiple of 2513 and 49. 17591 What is the lowest common multiple of 255 and 9? 765 What is the lowest common multiple of 3432 and 3120? 34320 Calculate the common denominator of -121/96 and 149/96. 96 What is the common denominator of 5/308 and 17/112? 1232 What is the least common multiple of 210 and 26? 2730 What is the least common multiple of 126 and 441? 882 Calculate the smallest common multiple of 18 and 11464. 103176 Calculate the least common multiple of 4 and 26. 52 Calculate the lowest common multiple of 363 and 6. 726 Calculate the smallest common multiple of 88 and 22. 88 What is the common denominator of 59/106 and -93/40? 2120 Calculate the common denominator of 133/720 and -29/900. 3600 Calculate the smallest common multiple of 2607 and 11. 2607 Find the common denominator of -95/162 and 73/189. 1134 Calculate the smallest common multiple of 405 and 495. 4455 Calculate the common denominator of 31/45 and -43/99. 495 What is the smallest common multiple of 104 and 40? 520 Calculate the common denominator of 95/78 and -5/54. 702 Calculate the common denominator of 43/20 and -79/260. 260 Calculate the common denominator of -13/60 and -35/26. 780 What is the common denominator of 161/660 and 19/6? 660 What is the lowest common multiple of 126 and 168? 504 Calculate the least common multiple of 8 and 242. 968 Find the common denominator of 73/15 and -167/2430. 2430 Calculate the common denominator of 49/30 and 149/108. 540 What is the smallest common multiple of 25 and 1660? 8300 What is the least common multiple of 1924 and 20? 9620 Calculate the smallest common multiple of 2370 and 11850. 11850 Calculate the common denominator of -91/68 and 35/136. 136 What is the least common multiple of 7 and 56? 56 Calculate the common denominator of 81/1930 and 15/4. 3860 Find the common denominator of 11/14 and -45/1444. 10108 Find the common denominator of -71/674 and 49/6. 2022 Calculate the common denominator of 209/2520 and -5/56. 2520 Calculate the common denominator of -127/180 and 35/18. 180 Calculate the least common multiple of 84 and 1. 84 What is the least common multiple of 1104 and 72? 3312 Calculate the least common multiple of 8673 and 105. 43365 What is the lowest common multiple of 1295 and 1480? 10360 Find the common denominator of -101/14 and 61/3364. 23548 Find the common denominator of -77/4 and -121/40. 40 Calculate the lowest common multiple of 408 and 12. 408 What is the common denominator of -79/8 and 11/60? 120 Calculate the lowest common multiple of 60 and 162. 1620 What is the common denominator of 39/4 and 47/22? 44 Find the common denominator of -26/133 and 7/57. 399 What is the lowest common multiple of 72 and 8? 72 Calculate the smallest common multiple of 450 and 40. 1800 What is the lowest common multiple of 143 and 104? 1144 What is the common denominator of 181/30 and -89/231? 2310 Find the common denominator of 59/18 and -95/1108. 9972 What is the lowest common multiple of 110 and 25? 550 Calculate the common denominator of 43/375 and 4/9. 1125 What is the smallest common multiple of 131 and 8? 1048 Calculate the common denominator of -33/2 and 101/126. 126 Calculate the lowest common multiple of 531 and 5. 2655 Calculate the lowest common multiple of 3180 and 954. 9540 What is the lowest common multiple of 9 and 2244? 6732 What is the lowest common multiple of 264 and 14? 1848 What is the lowest common multiple of 372 and 8? 744 Find the common denominator of -109/1368 and 11/38. 1368 Find the common denominator of 97/44 and -19/561. 2244 Calculate the smallest common multiple of 203 and 145. 1015 Calculate the smallest common multiple of 50 and 10. 50 Calculate the lowest common multiple of 125 and 250. 250 Find the common denominator of 83/18 and -37/57. 342 What is the lowest common multiple of 3 and 13953? 13953 What is the common denominator of -47/7956 and -143/306? 7956 What is the common denominator of 107/420 and 107/420? 420 Find the common denominator of 3/436 and 43/16. 1744 Calculate the common denominator of -71/90 and -51/40. 360 Find the common denominator of 75/2948 and -45/3752. 41272 Calculate the lowest common multiple of 42 and 3006. 21042 Calculate the lowest common multiple of 4 and 20. 20 Calculate the common denominator of -47/6 and -95/2. 6 Calculate the least common multiple of 270 and 55. 2970 Find the common denominator of 29/24 and -127/24. 24 Calculate the common denominator of 111/2600 and 17/400. 5200 Calculate the common denominator of 26/5409 and 34/21. 37863 What is the common denominator of 71/4 and -61/2174? 4348 Find the common denominator of 31/7613 and 101/230. 76130 What is the smallest common multiple of 1850 and 80? 14800 Calculate the common denominator of -5/16 and -83/39286. 314288 Calculate the lowest common multiple of 49 and 4. 196 Find the common denominator of -53/120 and -13/3. 120 Find the common denominator of 43/18 and -3/110. 990 Find the common denominator of -21/650 and -37/16. 5200 Find the common denominator of -74/417 and -7/1529. 4587 Calculate the lowest common multiple of 1218 and 42. 1218 What is the lowest common multiple of 79 and 11? 869 Calculate the common denominator of -59/615 and 73/36. 7380 Find the common denominator of 113/408 and 85/96. 1632 What is the common denominator of -97/288 and -53/162? 2592 Calculate the smallest common multiple of 640 and 92. 14720 Find the common denominator of -28/337 and 7/10. 3370 Calculate the smallest common multiple of 14 and 32. 224 Calculate the smallest common multiple of 1341 and 1639. 14751 Find the common denominator of -32/35 and -25/14. 70 Calculate the common denominator of 26/115 and -32/45. 1035 Calculate the smallest common multiple of 48 and 1904. 5712 Calculate the least common multiple of 88 and 504. 5544 Find the common denominator of -123/10 and -67/140. 140 Calculate the common denominator of -75/28 and 63/128. 896 Find the common denominator of 41/360 and 71/81. 3240 Find the common denominator of 8/1685 and -67/45.
{ "pile_set_name": "DM Mathematics" }
+ 5/2*m**4 + 135/2*m + 1/6*m**5 + 81/2 + 45*m**2. (m + 3)**5/6 Let h(o) = 19*o**2 + 96*o - 399. Let u(i) = 42*i**2 + 193*i - 797. Let y(p) = -13*h(p) + 6*u(p). Factor y(m). 5*(m - 9)**2 Let x(s) = -2*s**3 - 20*s**2 - 50*s - 8. Let c be x(-6). Find o such that 16*o + 12*o**3 - c - 22*o**2 - 9/4*o**4 = 0. 2/3, 2 Let h = -4799 - -14401/3. Factor h*m**2 + 0 - 8/3*m. 4*m*(m - 2)/3 Let d(u) = -u + 16. Let t be d(14). Let 78*j**2 - 3*j**3 + t*j**4 - 76*j**2 + 7*j**3 = 0. Calculate j. -1, 0 Let x(c) be the third derivative of -c**11/66528 + c**10/10080 - c**9/6048 - 7*c**5/30 + 5*c**2. Let v(p) be the third derivative of x(p). Factor v(n). -5*n**3*(n - 2)*(n - 1) Suppose -5979 + 5991 = 6*g. Factor 4/5 - 4/5*n**g + 2/5*n**3 - 2/5*n. 2*(n - 2)*(n - 1)*(n + 1)/5 Let b be ((-230)/161)/(-1 + (-44)/56). Find r such that -3/5*r**3 + 1/5*r - b*r**2 + 2/5 = 0. -1, 2/3 Let r = -281 - -286. Let n(x) be the third derivative of 0 - 5/108*x**4 + 0*x - 2/27*x**3 - 2*x**2 - 2/135*x**r - 1/540*x**6. Determine f so that n(f) = 0. -2, -1 Let d(z) be the third derivative of -z**7/525 + z**6/150 + 7*z**5/150 + z**4/15 - 119*z**2. Let d(m) = 0. What is m? -1, 0, 4 Let i(m) be the first derivative of m**5/20 - 9*m**3/2 - 6*m**2 + 35. Let v(l) be the second derivative of i(l). Factor v(q). 3*(q - 3)*(q + 3) Determine g so that -2*g + 16*g**3 - 4*g**5 - 294 + 286 - 10*g + 8*g**2 = 0. -1, 1, 2 Let w(y) be the second derivative of 0*y**4 + 0 + 1/5*y**5 - 5*y - 2/3*y**3 + 0*y**2. Factor w(x). 4*x*(x - 1)*(x + 1) Let u(p) be the first derivative of -64*p**5/45 + 80*p**4/9 - 436*p**3/27 + 9*p**2 - 2*p - 281. Solve u(c) = 0. 1/4, 3/2, 3 Let m(l) = -2*l**2 + 2*l + 4. Let s(c) = 2*c**2 - 3*c - 5. Suppose 3*g = 2*k - 0*k - 14, -4*k + 22 = -3*g. Let w(b) = k*s(b) + 3*m(b). Factor w(r). 2*(r - 4)*(r + 1) Let s(q) be the third derivative of q**7/140 + q**6/4 + 69*q**5/40 + 41*q**4/8 + 8*q**3 - 714*q**2 - q. Solve s(v) = 0 for v. -16, -2, -1 Let y(v) = -v**3 - 31*v**2 - 33*v - 90. Let q be y(-30). Solve q + 4/3*r**5 + 0*r**2 + 0*r + 0*r**3 + 0*r**4 = 0 for r. 0 Let y(a) be the first derivative of 2*a**2 + 0*a - 1/12*a**4 + 2 - 1/180*a**5 - 1/2*a**3. Let b(l) be the second derivative of y(l). Let b(w) = 0. Calculate w. -3 Let k(c) = -3*c - 24 - 7*c**2 + 15*c**3 - 14*c**3 - 2*c. Let q be k(8). Factor 2/9*w**2 + q - 2/9*w - 2/9*w**4 + 2/9*w**3. -2*w*(w - 1)**2*(w + 1)/9 Determine u, given that 3*u**2 - 12*u**4 + 5*u**4 - 24*u**3 + 10*u**4 + 18*u**2 = 0. 0, 1, 7 Find k, given that -18*k - 18*k + 48*k - 24*k - 7*k**2 - 3*k**2 = 0. -6/5, 0 Let g(w) be the second derivative of -w**5/50 - 2*w**4/15 + 11*w**3/15 - 6*w**2/5 + w. Factor g(n). -2*(n - 1)**2*(n + 6)/5 Let f(n) = 10*n**3 - 145*n**2 + 170*n + 35. Let o(x) = -x**3 + 16*x**2 - 19*x - 4. Let z(a) = 4*f(a) + 35*o(a). Factor z(u). 5*u*(u - 3)*(u - 1) Let o be 2/(1 + -5)*-6. Suppose 0*h + 3*h - 6 = -o*a, 5*h + a - 2 = 0. Factor 0*d + 0 + h*d**2 + 2/5*d**3. 2*d**3/5 Let b(t) = 5*t**4 + 20*t**3 - 9*t**2 - 36*t - 4. Let z(y) = 4*y**4 + 16*y**3 - 9*y**2 - 36*y - 3. Let j(k) = -3*b(k) + 4*z(k). Solve j(n) = 0 for n. -4, -3, 0, 3 Factor 0*i + 0 - 279/5*i**2 - 3/5*i**3. -3*i**2*(i + 93)/5 Let r(j) = 5*j**2 - 6*j. Let q(d) = -9*d**2 + 11*d. Let c(m) = -3*q(m) - 5*r(m). Let s be c(2). Solve 2*l**5 + s*l**4 + 0*l**3 - 4*l**4 - l**5 + l**3 = 0. 0, 1 Let i = -32/35 - -6/5. Suppose i*c**4 - 6/7 + 8/7*c - 8/7*c**3 + 4/7*c**2 = 0. Calculate c. -1, 1, 3 Let t(k) be the third derivative of k**6/72 - 17*k**5/18 + 1445*k**4/72 - 69*k**2 + 2*k. Let t(j) = 0. What is j? 0, 17 Let d(m) be the first derivative of -m**6/7 + 24*m**5/35 - 4*m**3 + 51*m**2/7 - 36*m/7 - 50. Solve d(r) = 0 for r. -2, 1, 3 Let s = 211 - 205. Let k(w) be the second derivative of 0*w**4 - w + 2/3*w**3 + w**2 - 1/5*w**5 - 1/15*w**s + 0. Factor k(u). -2*(u - 1)*(u + 1)**3 Let r(b) be the first derivative of 0*b**5 - 19 + 1/10*b**6 - 6/5*b + 9/10*b**2 + 2/5*b**3 - 3/5*b**4. Factor r(t). 3*(t - 1)**3*(t + 1)*(t + 2)/5 Let u = -2 + 8. Suppose -y + u = 2*y. Solve v**2 + v**y + v - 4*v**2 + v = 0. 0, 1 Let q be ((-2)/(-4))/(6 + (-177)/30). Factor 8*s + 26*s**3 + 10*s**4 + 2*s**q - s**4 - 21*s**4 - 24*s**2. 2*s*(s - 2)**2*(s - 1)**2 Let x be 18 - (4 + (-5 - -1)). Suppose -5*a - x = -11*a. Factor 44/3*q**2 + 16/3 - 56/3*q - 10/3*q**a. -2*(q - 2)**2*(5*q - 2)/3 Let w(x) = -x**3 - 8*x**2 + 10*x + 12. Let p be w(-9). Let y be ((-24)/p)/2*-1. Solve -7*m**4 + 24*m**2 + 22 + 8*m**y + 8*m**3 + 32*m - 6 = 0. -2 Solve 0*v**2 - 6*v + 6 + 3/2*v**3 - 3/8*v**4 = 0. -2, 2 Suppose -34*f + 45*f = 55. Let z(a) be the first derivative of 10/3*a**3 - 3/2*a**4 - 2*a**2 + 1/3*a**6 - f - 2/5*a**5 + 0*a. Factor z(j). 2*j*(j - 1)**3*(j + 2) Let b = 16 + -12. Let h be ((-4)/6)/(b/(-24)). Solve h*l**3 + 3*l**2 - l**3 - 4*l**4 - 3*l + 4*l**4 - 3*l**4 = 0 for l. -1, 0, 1 Let j be (-3)/((-220)/104 + 2/1). Suppose 2*a = a + y - 2, -3*a - 5*y + j = 0. Suppose 10/9*w**3 + a*w - 8/3*w**2 - 4/9 = 0. What is w? 2/5, 1 Let o(q) be the third derivative of q**9/2376 + 3*q**8/3080 + q**7/2310 - 2*q**3/3 - 8*q**2. Let x(w) be the first derivative of o(w). Factor x(h). 2*h**3*(h + 1)*(7*h + 2)/11 Let q = 402/23 - 1022/69. Find p, given that 0 - q*p - 2/3*p**2 = 0. -4, 0 Let i = -2 - -8. Let o be 16/i - (-4)/(-6). Factor x**4 - 5*x**2 + 2*x**2 + 3 - 3*x**2 + o*x**4. 3*(x - 1)**2*(x + 1)**2 Let t = 726298/21789 + 2/21789. Find b, given that -20/3*b - t - 1/3*b**2 = 0. -10 Factor -600/11*y**2 + 18/11*y**3 + 776/11*y - 256/11. 2*(y - 32)*(3*y - 2)**2/11 Let n(s) = -s**2 - s - 2. Let h be n(-1). Let o be h/(-4 + 0/(-6)). Factor 0*w + o - 1/2*w**2. -(w - 1)*(w + 1)/2 Factor -1 - 56*y**2 + 24*y + 29 - 63*y**2 + 115*y**2. -4*(y - 7)*(y + 1) Let m(f) be the first derivative of -f**7/420 + f**6/180 + f**5/60 - f**4/12 - f**3/3 + 7. Let g(b) be the third derivative of m(b). Factor g(v). -2*(v - 1)**2*(v + 1) What is p in -232*p + 18*p**3 + 16*p**4 + 232*p + 2*p**5 - 36*p**2 = 0? -6, -3, 0, 1 Let v(f) = -20*f**2 - 144*f - 288. Let g(o) = -7*o**2 - 49*o - 96. Let h(n) = -8*g(n) + 3*v(n). Factor h(x). -4*(x + 4)*(x + 6) Let w(b) be the second derivative of 0*b**3 + 0*b**2 - 1/84*b**4 - 1/210*b**6 + 0 - 1/70*b**5 + 7*b. Factor w(o). -o**2*(o + 1)**2/7 Suppose 0 = -3*d + 3*i + 18, 0 = 2*i + i + 12. Suppose 0 = -2*b + d*b + 7*b. Solve -15/4*h**5 - 21/4*h**4 + 3/2*h + 21/4*h**2 + b + 9/4*h**3 = 0. -1, -2/5, 0, 1 Let y(r) be the first derivative of 14 + 2/3*r**3 - 3*r + 1/2*r**2. Factor y(t). (t - 1)*(2*t + 3) Let f(a) = 22*a - 37*a + 15 - 33*a - 12*a**4 + 48*a**3. Let m(k) = 11*k**4 - 47*k**3 - k**2 + 47*k - 14. Let q(n) = -4*f(n) - 3*m(n). Let q(i) = 0. Calculate i. -1, 2/5, 1, 3 Let p(t) = -10*t**3 + 233*t**2 - 2784*t - 1152. Let g(n) = -n**3 - n**2. Let f(j) = 5*g(j) - p(j). Find m, given that f(m) = 0. -2/5, 24 Let l be (-105)/(-14)*16/20. Factor -3/2*s**3 + 0 + l*s**2 - 9/2*s. -3*s*(s - 3)*(s - 1)/2 Suppose -4*h + 208 - 184 = 2*l, -2*l - 2*h = -16. Suppose -s + 4*s = 6. Find r, given that -2/3*r**l - s*r - 10/3*r**3 - 14/3*r**2 + 0 = 0. -3, -1, 0 Let p be 1 + 2/1 + -11 + 4. Let x be (5/(-10))/(10/p). Factor 3/5 - x*i**2 + 2/5*i. -(i - 3)*(i + 1)/5 Determine z, given that -10 + 2*z**2 - 10*z + 51*z - 33*z = 0. -5, 1 Let z(k) = k + 3. Let r be z(5). Suppose -r*c = -3*c - 25. Factor -c*o - 24*o**4 + 3*o + 19*o**4 + 6*o**5 + 12*o**3 + 21*o**4. 2*o*(o + 1)**3*(3*o - 1) Let r be 12/(-3) - (-42)/(6 - -1). Let s(t) be the third derivative of 1/240*t**6 - 1/24*t**5 + 0 + 0*t + 5*t**r + 7/48*t**4 - 1/4*t**3. Factor s(h). (h - 3)*(h - 1)**2/2 Let l(s) be the first derivative of -30 + s**5 + 5/4*s**4 - 30*s**2 - 40/3*s**3 + 0*s. What is j in l(j) = 0? -2, 0, 3 Let x(f) be the third derivative of f**6/200 + 9*f**5/100 + 13*f**4/20 + 12*f**3/5 + 34*f**2 + 4*f. Factor x(g). 3*(g + 2)*(g + 3)*(g + 4)/5 Let t(f) be the second derivative of f**4/4 - 7*f**3/2 + 18*f**2 - 107*f. Factor t(z). 3*(z - 4)*(z - 3) Let q be (16/20)/(4/10). Let c = 3 + q. Suppose -c*i + 2*i - 26*i**2 + 4*i + 27*i**2 = 0. What is i? -1, 0 Let u be 36/(-10) + 3 - (-6837)/45. Let d = 152 - u. Determine h so that d*h**2 - 2/3*h - 4/3 = 0. -1, 2 Let b(f) be the third derivative of -7/30*f**6 + 0 + 0*f - 25/2*f**4 - 15*f**2 - 12*f**3 - 44/15*f**5. Let b(r) = 0. Calculate r. -3, -2/7 Let j(x) = -
{ "pile_set_name": "DM Mathematics" }
he terms in 90 - 21*j**2 - 130 + 20*j**2. -j**2 - 40 Collect the terms in 3*c**3 - 901542*c + 901552*c + 0*c**3. 3*c**3 + 10*c Collect the terms in -4*v + 2*v + 157*v**2 + 922*v**2 + 4*v + 228*v**2. 1307*v**2 + 2*v Collect the terms in -453*x**3 - 1701*x + 5025*x - 1696*x - 1628*x + 2*x**2. -453*x**3 + 2*x**2 Collect the terms in 1690*g + 1874*g - 5224*g + 1652*g. -8*g Collect the terms in -1161*d - 1195*d - 1192*d - 1216*d + 4764*d + 22*d**3. 22*d**3 Collect the terms in -218 + 77 + 80 - 3*h**2 + 3*h**3 + 3*h**2 + 58. 3*h**3 - 3 Collect the terms in 3838*a**2 + 94 - 672*a**2 + 534*a**2 + 34. 3700*a**2 + 128 Collect the terms in 122 + 138 + 6*p + 124 - p + 137 - 544. 5*p - 23 Collect the terms in 87225749946*a**2 - 87225749946*a**2 + 5*a**3. 5*a**3 Collect the terms in 14 - 798*a**2 - 30 + 790*a**2. -8*a**2 - 16 Collect the terms in -21*r - 10*r - 22*r - 29*r + 11*r. -71*r Collect the terms in -427278*z - 2*z**2 - 427268*z + 1281813*z - 427267*z. -2*z**2 Collect the terms in 10242 - 9*n**3 + 10440 - 20683. -9*n**3 - 1 Collect the terms in -5*a - a**3 + 3147*a**2 + 5*a - 2889*a**2. -a**3 + 258*a**2 Collect the terms in 228*t + 243*t - 471*t + 9807*t**3 - 9801*t**3. 6*t**3 Collect the terms in 24256*v - 12152*v - 12132*v. -28*v Collect the terms in -4074 - 3486 + s - 1203 - 870. s - 9633 Collect the terms in 127*x**2 - 424684777 + 424684777. 127*x**2 Collect the terms in -346*q + 1785828 - 1785828. -346*q Collect the terms in -6069*s - 20*s**2 + 18*s**2 - 164 + 6068*s. -2*s**2 - s - 164 Collect the terms in 198*n**3 + 183*n**3 - 685*n**3 + 166*n**3 + 219*n**3. 81*n**3 Collect the terms in z**3 + 5320 - 10645 + 5322 + 287*z**2. z**3 + 287*z**2 - 3 Collect the terms in 11563*r + 41437*r + 7179*r. 60179*r Collect the terms in 79*x**2 - 125*x**2 + 38*x**2 + 23*x**2. 15*x**2 Collect the terms in 2*u + 102 - 68 + 4*u - 41. 6*u - 7 Collect the terms in 40*y**3 + 0*y**3 + 4888204 - 4888204. 40*y**3 Collect the terms in 65 - 30 - 31 - 4 + 3*o**2. 3*o**2 Collect the terms in -11689*a**3 + 23643*a**3 - 11757*a**3. 197*a**3 Collect the terms in 48288*q**3 + 8632*q**3 - 10540*q**3 + 49790*q**3. 96170*q**3 Collect the terms in -1161*u**2 + 12339*u**2 + 305 - 305. 11178*u**2 Collect the terms in -390*v**2 - 402*v**2 + 792*v**2 - 1337*v**3. -1337*v**3 Collect the terms in -8309*x + 16621*x + 4170*x**2 - 8314*x. 4170*x**2 - 2*x Collect the terms in 397*r + 304*r + 597*r - 1695*r. -397*r Collect the terms in 18699*h + 23464*h - 6555*h. 35608*h Collect the terms in -585*g**3 + 407987005*g**2 - 407987005*g**2. -585*g**3 Collect the terms in 1444 + 1450 - 4337 + 65*b + 1444. 65*b + 1 Collect the terms in 120*y**3 - 10*y**2 + 66*y**3 + 10*y**2 - 11*y**2 + 13*y**2. 186*y**3 + 2*y**2 Collect the terms in 738*m**2 + 795*m**2 - 134*m**2. 1399*m**2 Collect the terms in 1312*g - 1312*g + 22*g**2 - 4 + 4 - 7*g**2. 15*g**2 Collect the terms in -8*i - 95*i**3 + 52*i**3 + 3*i - 2*i + 16*i**3 + 29*i**3. 2*i**3 - 7*i Collect the terms in -23170*g + 7727*g + 7850*g + 7739*g. 146*g Collect the terms in 41 - 12*x - 45 - x - 13*x**2 - 8*x**2 - 6*x. -21*x**2 - 19*x - 4 Collect the terms in -14748583*p**2 + 29497163*p**2 - 14748559*p**2. 21*p**2 Collect the terms in 48*s + 35*s + 35*s + 27*s - 158*s. -13*s Collect the terms in 44 - 9015*f + 78 - 122. -9015*f Collect the terms in 3 + 0 + 740*b**2 + 33*b - 1 - 10*b - 744*b**2. -4*b**2 + 23*b + 2 Collect the terms in 2*r**3 - 6419*r - 3848*r + 636*r. 2*r**3 - 9631*r Collect the terms in -4 + 23859*v + 35292*v + 4. 59151*v Collect the terms in 1435*y**3 + 65*y + 1445*y**3 + 1435*y**3 - 65*y - 5774*y**3 + 1445*y**3. -14*y**3 Collect the terms in 104876*g + 3 - 3 + 205123*g. 309999*g Collect the terms in -2831*d - 4551*d + 4466*d - 5423*d. -8339*d Collect the terms in -57102*b**3 + 28623*b**3 + 28487*b**3. 8*b**3 Collect the terms in 509*i**2 + 54*i - 158*i**2 - 121 - 99*i + 45*i. 351*i**2 - 121 Collect the terms in -9230*c**3 + 4601*c**3 - 362 + 362 + 4608*c**3. -21*c**3 Collect the terms in -5560*i**2 - 5499*i**2 - 5585*i**2 + 16954*i**2. 310*i**2 Collect the terms in 26 - 90 - 6699*o + 30 + 6710*o + 29. 11*o - 5 Collect the terms in -95204*o**2 - 121445*o**2 - 250420*o**2 + 41020*o**2. -426049*o**2 Collect the terms in 13 - o - 3*o - 99 + 81 + 6*o. 2*o - 5 Collect the terms in 135*o - 258*o + 3 - 2 + 162*o - 3 + 4. 39*o + 2 Collect the terms in -89*g**3 - 620771*g**2 + 174*g**3 - 87*g**3. -2*g**3 - 620771*g**2 Collect the terms in -563*t**3 + 904*t**3 - 274*t**3 - 368*t**3. -301*t**3 Collect the terms in -3*t**2 - 1043*t**3 - 296*t**3 + 1885*t + 3*t**2 - 1885*t. -1339*t**3 Collect the terms in -53963*u + 5 + 10954*u - 38134*u. -81143*u + 5 Collect the terms in 19315*g + 35179*g - 20555*g + 16242*g. 50181*g Collect the terms in -2756*x**3 - 70*x**2 + 70*x**2. -2756*x**3 Collect the terms in -4335*c - 4517*c + 8843*c. -9*c Collect the terms in 3 + 96*x + 2 - 25*x - 146*x - 5 + 76*x. x Collect the terms in 3*g + 6503*g**2 + 3*g - 2*g + 16001*g**2 - 2*g. 22504*g**2 + 2*g Collect the terms in 18737*c - 56273*c - 19*c**3 + 18772*c + 18764*c. -19*c**3 Collect the terms in -2 + 2*j**3 - 1143*j + 278*j - 132*j - 1230*j. 2*j**3 - 2227*j - 2 Collect the terms in -4803*g**2 + 1646*g**2 + 1648*g**2 + 1514*g**2. 5*g**2 Collect the terms in 349701*x - 699026*x + 349764*x. 439*x Collect the terms in -6*q + 3 + 8*q - 91960*q**2 + 31463*q**2. -60497*q**2 + 2*q + 3 Collect the terms in -1511*y**3 - 947 + 1512*y**3 + 995. y**3 + 48 Collect the terms in -39*z**2 + 11 + 11*z**3 + 166*z**2 - 93*z**2 - 34*z**2. 11*z**3 + 11 Collect the terms in 3*w + 3*w**2 - w**2 + w**2 + 2791 - w**3 + 2*w. -w**3 + 3*w**2 + 5*w + 2791 Collect the terms in -1 - 65*h + 8*h + 5*h - 13*h - 2*h**2. -2*h**2 - 65*h - 1 Collect the terms in -2*d**3 + 6425*d**2 + 6201*d**2 - 65 + 67 - 176*d**2. -2*d**3 + 12450*d**2 + 2 Collect the terms in 1479*i**3 + 4617*i - 2309*i - 2308*i. 1479*i**3 Collect the terms in 47047 - 104*x - 318*x - 47047. -422*x Collect the terms in -11 + 28 - 17 + 2523*a**2 - 1336*a**2 - 1186*a**2. a**2 Collect the terms in 1 + 6*m - 4*m - 16025*m**2 + 2*m + 0. -16025*m**2 + 4*m + 1 Collect the terms in -393*z - 386*z - 114*z**3 + 1167*z + 97*z**3 - 388*z. -17*z**3 Collect the terms in 66*c**3 - 29717*c + 53*c**3 - 29501*c + 59218*c. 119*c**3 Collect the terms in 15*i + 161*i - 214*i. -38*i Collect the terms in -31 - 3*z**2 - 270 - 4*z**2 + 5*z**2 + 301. -2*z**2 Collect the terms in 116866 + 36*g + 120177 - 237041. 36*g + 2 Collect the terms in 836*y**2 + 406*y**2 - 1376*y**2. -134*y**2 Collect the terms in 0 - 218816*v + 0 + 218816*v + 9171*v**2. 9171*v**2 Collect the terms in 4*d**3 - 6385*d + 5586*d - d**3. 3*d**3 - 799*d Collect the terms in 5*j**2 - 2*j**2 + 15*j - 59*j - 46*j - 175*j. 3*j**2 - 265*j Collect the terms in 366*r**2 - 429308*r + 364*r**2 - 730*r**2 + 429308*r + 293*r**3. 293*r**3 Collect the terms in -7088*q**2 - 4894*q**3 + 3543*q**2 + 3545*q**2. -4894*q**3 Collect the terms in -4704 + 38*o**3 + 9407 - 4702. 38*o**3 + 1 Collect the terms in -188196*i**3 + 380761*i**3 - 192571*i**3. -6*i**3 Collect the terms in -291*z + 570 + 1186*z - 283 - 283. 895*z + 4 Collect the terms in 15*y + 30*y + 6*y - 64*y - 945*y**2 + 13*y. -945*y**2 Collect the terms in -96670187*u**2 + 96670196*u**2 + 3*u**3 + 2*u**3. 5*u**3 + 9*u**2 Collect the terms in -344*n + 183*n + 144*n - 809*n - 223*n. -1049*n Collect the terms in -4099*q**2 + 1396*q**2 + 1369*q**2 + 1354*q**2. 20*q**2 Collect the terms in 5*n**3 - 5628 + 6*n**3 - n**2 - 13*n**3. -2*n**3 - n**2 - 5628 Collect the terms in -150478*k - 150472*k - 150478*k + 451426*k. -2*k Collect the terms in -19177*n + 38345*n + 246837351 - 246837351 - 19177*n. -9*n Collect the terms in -18*z + 8*z - 7203 + 12*z. 2*z - 7203 Collect the terms in -131*s - 73*s - 106*s - 70*s - 50*s - 154*s + 416*s. -168*s Collect the terms in -864 - 10*m - 34*m - 744 - 9*m. -53*m - 1608 Collect the terms in 1520*s**2 - 345*s**2 + 2 - 1 - 1 - 599*s**2. 576*s**2 Collect the terms in 3*a**3 - 27*a**2 - 495492 + 495492 + 27*a**2. 3*a**3 Collect the terms in -51 - 204425*m**3 + 51. -204425*m**3 Collect the terms in -41*d**2 + 87 - 42*d**2 + 146*d**2 - 50*d**2. 13*d**2 + 87 Collect the terms in 737*t**3 - 153*t - 60*t**3 + 520*t - 367*t. 677*t**3 Co
{ "pile_set_name": "DM Mathematics" }
(-152)/(-20) + -7)/(0 + 3)? 1/5 (-1)/(-6) + (-858)/468 -5/3 Calculate -8 + 14 + (-2 + 0 - 1). 3 What is the value of (1/(-3))/((-27)/162)? 2 What is (-18)/(-3) - -2 - 580/70? -2/7 Calculate (-2)/19 - 360/3078. -2/9 What is the value of (90/(-27))/(2 - (-12)/(-9))? -5 What is the value of -10 - -7 - (-3 - -7)? -7 51/(-85) + (-51)/(-135) -2/9 What is (-35)/28*(-15)/225? 1/12 What is (-6720)/660 + 2*5? -2/11 Evaluate 48/504 + 20/(-63). -2/9 What is ((-2)/(-36))/(4 - (-472)/(-120))? 5/6 Calculate 120/16*(-36)/54. -5 3/((-36)/(-5)) - 88/352 1/6 Evaluate 19/(-133) + (-10)/28. -1/2 What is the value of ((-4)/(-56))/(3/18)? 3/7 Evaluate (2 + 0)*(-3)/15. -2/5 Evaluate (-312)/(-51) + -2 + (10 - 14). 2/17 Calculate -3*(-4)/(-12)*(-5 - 0). 5 477/54 + -9 - (-12)/(-9) -3/2 Evaluate ((-67)/(-201) - (-58)/6) + -7. 3 Evaluate 6/28*12/27*6. 4/7 Evaluate 17/(-170)*(5 + 2/(-2)). -2/5 Calculate (-4)/(-22) - (-8 + 4921/627). 1/3 What is the value of (3*6)/(-2)*(-32)/96? 3 What is the value of 0 + (9 - 415/45)? -2/9 What is ((0/7)/(-1))/(-2)? 0 Calculate 0 + 0 + (-6)/(4 + -7). 2 Calculate 74/(-185)*3*2/18. -2/15 Evaluate 66/(-21) - (-16)/112. -3 Calculate 5 + -2 - (-39)/(-12). -1/4 Calculate 8*(20/(-16)*-4 + -6). -8 What is 9/(7 + -4)*(-2)/(-14)? 3/7 Calculate (-6 + 2204/368)*-8*1. 2/23 Evaluate (-90)/(-27)*24/20 + -2. 2 Evaluate (-8)/320 + (-24)/(-60). 3/8 (-255)/(-204) + 2/(-8) 1 (-3 - 4)/(-8 + 7) + -4 3 What is (-1 + -2)/(-3) + 1/1? 2 (-2)/3*114/76 -1 (((-615)/(-90))/(-41))/((-1)/16) 8/3 What is the value of 34/66 - (-91)/(-273)? 2/11 -10 - 35/(-11) - -7 2/11 What is ((-9)/15)/((-10)/(-50))? -3 Calculate (2/((-20)/(-5)))/(11/(-66)). -3 What is the value of -8*((-1)/25)/((-4)/(-10))? 4/5 Evaluate -3 - -3*(-14)/(-9). 5/3 Evaluate ((-39)/(-24) - 1)*(-6)/(-15). 1/4 What is ((-10)/(-8) + 1)/((-18)/(-12))? 3/2 What is (-128)/64*(-4)/56? 1/7 Calculate 2 + 38/5 - 56/(-140). 10 What is 0*(-4 - (-66)/18)? 0 Evaluate -5*1 + (8 - -2) + -7. -2 712/1400 + (77/(-25) - -3) 3/7 What is -2 - (-2*(-6)/(-20) - 1)? -2/5 ((-2)/(-4))/((140/(-24))/(-7)) 3/5 What is 21/(-56)*(-4)/6? 1/4 Evaluate 11/(11/10) - 8. 2 Evaluate ((-8)/5)/((-660)/(-50) - 12). -4/3 What is the value of -3*((-434)/(-63) + -7)? 1/3 Calculate 90/(-27)*(-36)/15 - 5. 3 What is (-50)/(-84) - 4/8? 2/21 1/(24/352 + (-2)/(-11)) 4 What is the value of (-48)/((-72)/18) - (1 - -7)? 4 Calculate (-8)/76 + 297/114. 5/2 Calculate (-7)/(-42)*-3 + (-9)/(-2). 4 What is the value of (10 - 20)/(0 - (-2 + 4))? 5 What is the value of (-35)/(-20) - 24/32? 1 Calculate (-2)/24 - 26/(-78). 1/4 ((-1)/(-15))/(8/96) 4/5 Evaluate ((-4)/(-10))/(292/1825). 5/2 Evaluate 28/16 + 1 + 3/(-4). 2 What is the value of (21 - 1)/(3 + (-25)/5)? -10 Evaluate 14/18 + (-13)/13. -2/9 What is the value of 5/(20/(-4)) + -3? -4 (-50)/(-154) - ((-120)/66 + 2) 1/7 Calculate (37 - 35)*(-1 + -3). -8 Evaluate 4 + (-2 - 2) + (0 - 4). -4 Evaluate (8 + 5 + -10 - 2)*5. 5 Evaluate (20/15)/(8/(-6)). -1 What is the value of (17 + -1)/(-4) + 4? 0 Calculate 1 - (2/5 - (-66)/60). -1/2 110/220 + 2*(-3)/20 1/5 What is the value of ((-424)/265)/((-8)/50)? 10 ((-4)/(-5))/4 - 21/35 -2/5 0 + (2 - 15/(-3)) 7 What is (((-5)/(-25))/1)/((-6)/20)? -2/3 Evaluate 16 - 17 - (-1 - 1). 1 Evaluate 465/372*1/(-10). -1/8 (5 + -11)*1 + (-24)/(-6) -2 What is the value of (-93)/(-105) - 12/20? 2/7 ((-6)/(-30))/(18/20) 2/9 (0 - 2/(-3))/(112/(-504)) -3 -2 - (-76)/(-57) - (-2)/6 -3 What is the value of (4/56)/(((-60)/16)/(-15))? 2/7 What is (-2)/(-3) + (8/(-3) - 3)? -5 ((-20)/(-20))/(1 + 0) 1 2/(-2)*(-1 - 0)*0 0 Evaluate (-2)/(1 + 5/2). -4/7 (-20)/72 - 4/18 -1/2 Evaluate 0 - ((-3 - (-100)/92) + 2). -2/23 What is -4*(15/(-20))/1? 3 What is ((-10)/14)/(5/2)? -2/7 What is (-48)/(-18) + (-2)/(-6)? 3 What is the value of 2/(((-276)/1150)/((-6)/(-20)))? -5/2 Calculate (-9)/1485*-123 - (-1)/(-5). 6/11 Evaluate (-11 + (-399)/(-35))/((-36)/(-15)). 1/6 What is 1 - -1 - (-18 - -23)? -3 Evaluate ((20/(-15))/2)/((-84)/18). 1/7 1656/(-8370) - 4/(-62) -2/15 What is the value of (-1 + 8/12)*1? -1/3 Calculate 104/(-78)*(-7)/98. 2/21 (2/12)/((-2)/6 + 0) -1/2 3*(3 + (-4 - 0)) -3 3/((-9 + -36)*(-6)/72) 4/5 (4/(-42))/(12/56*-2) 2/9 Calculate (250/40 - 6)/((-7)/(-4)). 1/7 What is (4 - 2) + (-5)/35*0? 2 What is 3/(-6) + 1 + 0? 1/2 What is 1*(-2 - -3) + 4? 5 What is the value of (-75)/(-24) + -3 - 460/(-160)? 3 Calculate 8/(-36)*-3*(-18)/4. -3 What is (-2)/5 - 693/(-2520)? -1/8 -1 - 16*(-9)/18 7 Calculate (42/224)/(6/(-4)). -1/8 What is the value of 6/((-4)/(-2) - -8)? 3/5 Calculate (-14)/(-6) - (-7 + 10). -2/3 Evaluate 1*3*21/252. 1/4 Calculate (-1 + (-6)/4)*(-12)/(-15). -2 Calculate (6/(-55))/(123/(-205)). 2/11 (2 + (-5)/4)*(-16)/(-6) 2 Calculate 1 + (-10 - -3 - -4). -2 What is the value of 1*-3 - (-2457)/546? 3/2 What is the value of 0*(2 + -2 + (-2)/(-6))? 0 What is (0 - -4 - 6)/(-1)? 2 Evaluate 6*((-16)/30 - 2/(-10)). -2 Evaluate (-10)/6 - 108/(-81). -1/3 Calculate (((-20)/24)/1)/(-5). 1/6 What is the value of 3 + -4 + 1/2? -1/2 What is the value of -9 - 36/(-9) - -4? -1 -1*3 - ((-5)/(-1) - 9) 1 What is ((-20)/30)/((-2)/6)? 2 Evaluate 10/(-12)*(-12)/(-40). -1/4 Evaluate 15/(-21) - (-345)/(-105). -4 What is the value of (-17)/(-15) + (-2)/(-10)? 4/3 Calculate ((-3)/2)/((-40)/80). 3 What is (-4)/10 + 0/((-12)/4)? -2/5 What is ((-6)/(-4) - 161/46) + -2? -4 What is 4/(-16) - (-4 + (-339)/(-84))? -2/7 What is 303/(-33) - 2/(-11)? -9 What is -2 + 3 + -3 - 20/(-16)? -3/4 Calculate ((-7)/12)/(-7) - 1/3. -1/4 What is the value of (-3)/((-4)/(-6 - 6)*3)? -3 Calculate ((-12)/32)/(6/4). -1/4 Calculate (-37)/5 + (-12)/(-30). -7 1090/3052*(-1)/5*-2 1/7 6/(-14) - 6/630*25 -2/3 What is the value of 1/8 + 114/240? 3/5 Evaluate 100/30 - (-39)/(-9). -1 Evaluate (-125)/(-75)*6/4 - 4. -3/2 What is (-13)/(-6) + 20/(-12)? 1/2 What is the value of 40/225 - (1 + 9/(-15))? -2/9 Evaluate (-15)/9 + 4/(-12). -2 What is (3 + -4)*(-1 + 8/(-2))? 5 What is the value of ((-8)/28)/((-4)/(-7))? -1/2 Calculate (1 - 0) + (-7 - -2). -4 What is the value of ((-38)/684)/(2/(-9))? 1/4 ((-5)/2)/(-5) + 3/(-18) 1/3 Evaluate ((-15)/9*-6)/(-2). -5 What is 1/(-5) - 3/(-65)? -2/13 What is (1/(-5) + 1)*(-30)/4? -6 What is the value of 8/14*(7 - (-105)/(-10))? -2 What is the value of (-1 + 8/(-4))/(-3)? 1 What is (2/3)/((-7)/((-42)/4))? 1 Evaluate (-6)/4 + 40/16. 1 Evaluate (-13 - (-2 + -2)) + 4. -5 Evaluate ((-2)/2 - -3)/1. 2 What is 3/(-2) - (18/4 + -5)? -1 (-15)/(-9) + (-2)/(-6) 2 What is (155/372)/(62/16 - 2)? 2/9 (-275)/(-39) + 4/(-78) 7 Evaluate 12/(-120) - (-124)/40. 3 What is ((-46)/(-184))/((-1)/12)? -3 Evaluate 258/(-54) + 10/(-45). -5 Calculate (3 + 114/(-30))*50/(-540). 2/27 Calculate (-56)/(-700) - (-14)/(-175). 0 What is the value of 6*(-4)/6*81/108? -3 ((-9)/(-6))/((-20)/8 + 3) 3 (-24)/28 + (-18)/(-21) + -1 -1 What is the value of 50/(-28) + 0 + (-2)/(-7)? -3/2 -8 + (-8)/(-2) - -5 1 What is the value of (-1121)/(-1292) + (-4)/34? 3/4 Evaluate (-31)/(-4) + (-903)/516. 6 What is the value of 9 + (-748)/(-336)*-4? 2/21 Evaluate (3/9 + (-4)/(-6))/(-1). -1 What is the value of (-12)/21*28/(-40)? 2/5 Calculate (-4)/(-2) - (-14)/(-4). -3/2 24/(-200)*(-10)/15 2/25 What is the value of (-112)/(-252)*((-13)/10 - -1)? -2/15 What is the value of -1 + (-1)/((-7)/35)? 4 (0 - -2)*9/6 3 -79 + 88 + (-55)/6 -1/6 Calculate -1 - (13/26 - 1/2). -1 180/36*-2*1/2 -5 What is the value of (-2)/4 - 75/(-150)? 0 What is the value of (-3*2/(-4))/(27/(-90))? -5 Calculate 10 - 8 - (1 + 0). 1 What is the value of 1/(-5)*(-116)/290? 2/25 What is the value of (4/(-5))/(12 - (-8 - -22))? 2/5 Calculate -21*((-180)/35)/(-12). -9 Evaluate (-3)/9*6/(-3). 2/3 Evaluate 99/1452*(-8)/6. -1/11 Calculate 2/7 - 9/7. -1 What is the value of (-64)/(-10) - (-176)/110? 8 What is -8 + 680/72 + (-8)/18? 1 Calculate (-374)/55 - 4/20. -7 Evaluate (2/5)/((60/125)/6). 5 Calculate (1 + -3)*(16 + 1027/(-65)). -2/5 What is ((-27)/(-1170)*-5)/(12/8)? -1/13 Calculate 0*(6 + -5)/5. 0 What is (3 - 1)/(-2*(-26)/(-4))? -2/13 What is the value of 2 + 564/(-378) - (-6)/(-21)? 2/9 Evaluate 363/77 + (-4)/(-14). 5 Calculate ((-1455)/(-194))/(10/4). 3 1 + 0 + (-6)/2 -2 What is (1/(-4))/(12/(8 - -4))? -1/4 (36/8)/3*20/(-15) -2 What is the value of -5 - 0 - -3*3? 4 Evaluate 4 - (-7 + 17) - -1. -5 Evaluate (-15)/39*(-74)/
{ "pile_set_name": "DM Mathematics" }
- 4 = s*q, -16 = -4*j. Suppose 90 = 2*i + q*i. Does 9 divide i? True Let d = -7 + 14. Let i be 8 - (0 + (1 - -1)). Suppose 3*y - x - d = 18, -i = -y - 2*x. Is y a multiple of 3? False Let o(c) = -7*c**2 + 2*c + 52. Let v(r) = 3*r**2 - r - 26. Let z(f) = -4*o(f) - 9*v(f). Is z(0) a multiple of 13? True Suppose -50 = -4*y + 34. Is 7 a factor of y? True Suppose -i = 3 - 41. Suppose 3*a = 4*a, -4*a + 110 = -5*d. Let u = i + d. Does 16 divide u? True Suppose -81*l = -77*l - 756. Is 18 a factor of l? False Let m(r) = 2*r + 2. Let f(h) = -2*h + 1. Let o be f(3). Let j be m(o). Let g(t) = -t**3 - 8*t**2 - 2*t - 3. Does 5 divide g(j)? False Suppose x - 29 = -3*t, -3*x - 39 = -3*t - 2*t. Does 9 divide t? True Suppose -r + 5*b + 48 = 12, -3*r + 2*b = -56. Does 4 divide r? True Let j be -123*-1*(3 - 2). Suppose -5*m - 3 = -4*m, 3*v + 3*m = j. Suppose -2*y - 4*w + 2*w + 8 = 0, -4*y = -3*w - v. Is 8 a factor of y? True Let t(n) = n**3 + 3*n**2 + 8*n + 6. Is t(5) a multiple of 42? False Let o = -1 - -5. Is 22 a factor of (-1)/o - 506/(-8)? False Suppose 4*l - 7 = 225. Is l a multiple of 9? False Let w(s) = -3*s + 14. Let t(x) = -7*x + 27. Let o(r) = -2*t(r) + 5*w(r). Does 2 divide o(10)? True Let h be 0/(3/(-12)*-4). Suppose 7*f + 3*s = 3*f + 91, -3*s - 9 = h. Is 25 a factor of f? True Let p(v) = v**2 - 2*v + 1. Let w be p(1). Let t(r) = r - 13. Let k be t(w). Let s = -8 - k. Does 2 divide s? False Let r = -12 - -39. Suppose r = 4*o - o. Is 4 a factor of o? False Let i(h) = -h**2 - 6*h - 5. Let n be i(-5). Let t(f) = f**2 + f + 3. Is t(n) a multiple of 2? False Let j = -236 + 336. Is j a multiple of 10? True Suppose 0 = -3*i - i + 16, 0 = -4*d - 4*i. Let k = -3 - d. Is (0 + k - -3) + 2 a multiple of 3? True Let i be 2 + 1 - (2 - 1). Suppose 84 = 4*w - 4*a, -w - i*a = -0 - 18. Is 6 a factor of w? False Suppose -v = 2*u + 165, -2 + 0 = -2*v. Let i = -90 - -49. Let y = i - u. Is 19 a factor of y? False Suppose 4*o = -0 + 4. Let i be 6/o*(-2)/2. Is -2*(1 + 21/i) even? False Suppose 7 = -o - k, 5*o = -2*k - 4 - 19. Does 11 divide 75/4 - o/12? False Let k = 5 - 5. Is (-18)/(-3) - (k - 0) a multiple of 3? True Let p(a) = 2*a**2 - 4. Does 4 divide p(-2)? True Let j(h) = h + 1. Let d(r) = r + 1. Let v(l) = d(l) + 4*j(l). Suppose 41 = 5*s + 1. Does 15 divide v(s)? True Suppose 2*c - 3 = t - 7, 4*t - 6 = -2*c. Let z = -5 - c. Let n = 10 - z. Is 14 a factor of n? True Suppose 55 = -3*b + 8*b. Is 5 a factor of b? False Does 30 divide (-9)/((-9)/(-3)) - -127? False Suppose w - 5*w + 5*a + 7 = 0, 0 = w - 5*a + 2. Suppose 4*x - w*d = 48, -4*d + 26 + 5 = x. Is 15 a factor of x? True Suppose -p - 4 = 4*h + 3, 0 = 3*p + 4*h + 5. Does 13 divide 3 + 47 + p/1? False Let p(b) = -b**3 - 2*b**2 + 5. Suppose 5*h = -0*h - 25. Let a be p(h). Suppose -2*u + 4*i + a = 0, 0 = 7*u - 2*u + 5*i - 125. Is u a multiple of 15? True Let w(o) = 7*o**2 + o - 2. Let t be w(3). Let v be (2 - t)/(1/(-1)). Suppose 116 = 5*n - 3*u, -2*n + 4*u + v = 10. Is 17 a factor of n? False Let p be 26/8 - (-3)/(-12). Let j be 298/14 + (-14)/49. Suppose -2*t = 2, p*t - 8 = -2*g + j. Does 6 divide g? False Let d be -23 - (-1 + 3/(-3)). Let r(v) = -v**3 + 5*v**2 + 3*v - 2. Let f be r(5). Let z = f - d. Is z a multiple of 17? True Suppose 7 = 4*l + l + p, -3*p - 7 = l. Let x(v) = -v**2 - 12*v - 7. Let k be x(-6). Suppose -l*r = 5*h - 52, -3*h + 0*r = -r - k. Does 9 divide h? False Let u(r) = r + 1. Let t be u(6). Suppose 0 = c - t - 1. Does 8 divide c? True Suppose 2*b + 0*b - 5*w - 18 = 0, -4*b + 12 = 2*w. Suppose -b*a - 3*r = -2*a - 7, -a + 3 = 2*r. Is 3 a factor of a? False Suppose 7 + 9 = 4*b. Suppose -v + b = -5. Does 7 divide v? False Suppose 0 = -0*v + 2*v. Suppose 0 = 4*d - v*d - 40. Is d a multiple of 10? True Let q = 57 - -55. Does 16 divide q? True Let u(s) = 10*s - 3*s**2 - 2*s + 5*s**2. Let w be u(-7). Let t = w - 24. Is t a multiple of 6? True Let i be 640*((-22)/8 - -2). Let s = -220 - i. Suppose 0*j - s = -5*j. Does 19 divide j? False Let v be (-2)/4 + (-9)/6. Is (-19)/v + (-3)/6 a multiple of 5? False Suppose -h + 284 = 4*y - 94, 5 = y. Does 21 divide h? False Let a = 105 + 3. Is 12 a factor of a? True Is 10 a factor of -6*(-1 - (-20)/(-3))? False Suppose -5*t = -2856 - 639. Suppose -6*d + 2*d = 4*p - 72, 0 = -p + 2*d + 6. Is 19 a factor of t/21 - 4/p? False Suppose 3*u + 2*f - 19 = 0, -5*u - 5*f - 10 = -10*f. Is ((-14)/(-3) + -3)*u a multiple of 3? False Suppose 4*g = 479 + 337. Is 17 a factor of g? True Suppose 5*a + 5*y + 12 = -3, -2*a - 4*y = 14. Is 12 a factor of 23 - ((-6)/(-3) - a)? False Let b be (-270)/(-33) + 4/(-22). Let c = 29 - b. Does 4 divide c? False Let j(r) = 8*r**2 + 3*r - 6. Is 22 a factor of j(-4)? True Let z(x) = -1 - x**3 + 2*x**3 - 3*x**2 - x**2 - 1 + 5*x. Let g be z(3). Suppose 0 = 4*f, 27 = 5*b - g*f + 2. Is 4 a factor of b? False Suppose 4*k = -5*f - k, k + 2 = 0. Suppose f*j + 4 = -l + 4*j, -5*l = 5*j - 10. Suppose -5*c + 3*x + 55 + 15 = l, 4*x = -5*c + 105. Does 6 divide c? False Let d be (18/(-3))/3 - -41. Suppose d = 4*l - 133. Is 11 a factor of l? False Suppose 4*c = -z, -3*z + 15 = 2*z + 5*c. Let i(l) = l. Let w be i(0). Suppose w = o + z*o - 70. Is 5 a factor of o? False Suppose j = -4*d + 217, 21 + 80 = 2*d + 3*j. Is 11 a factor of d? True Let b = 3 + -3. Suppose 0 = -b*s + 4*s + 12. Let g = s + 22. Is 8 a factor of g? False Let u(h) = 14*h**2 - 4*h + 2. Let a be u(3). Suppose -2*b = -a + 28. Does 13 divide b? False Let f(n) = -6*n - 2. Let b be 16/(-3) + 4/(-6). Let x = 2 + b. Does 11 divide f(x)? True Let h(a) be the first derivative of -4*a - 1/3*a**3 + 4*a**2 + 1. Is h(6) a multiple of 8? True Suppose -30 = -a + 5*c - 3, -4*a + 16 = 3*c. Is a a multiple of 5? False Let k be (-2)/(-5) - (-46)/10. Suppose -k*z + 4*z = -7. Does 7 divide z? True Let r(p) = 66*p + 12. Is r(2) a multiple of 48? True Suppose -7*c = -2*c - 15. Let o = -3 + c. Let i(b) = b + 22. Does 11 divide i(o)? True Let o = -2 - -2. Let d = 5 - o. Suppose -37 = -d*c + 63. Is 16 a factor of c? False Let n be 0/(0 - -2) + 4. Let x = n - 10. Is 12/x*(1 + -13) a multiple of 12? True Suppose -2*j + 6*j = -5*u + 29, -2*u + 11 = j. Does 11 divide 30 - 16/(5 - j)? False Suppose -5*s + 81 = -2*s. Does 7 divide 9/s + (-88)/(-6)? False Is 3 a factor of 10/30 - (-142)/6? True Let q = 35 + 79. Let o = q + -65. Suppose 2*i - o = 3. Is 13 a factor of i? True Let r be 2 - ((-600)/4 - -1). Suppose -2*l + 3*n = -r, 2*n - 3*n - 5 = 0. Is l a multiple of 18? False Let y(f) = 3*f**2 + 9*f + 8. Let p be y(7). Let n be p + 6/3 + -2. Suppose -n - 12 = -5*x. Is 17 a factor of x? False Let i(t) = 2*t**2 + 7*t - t**2 + 2 - 4. Let d be i(-8). Suppose 2*a = 2*u - d - 14, 0 = 2*u - a - 18. Is u a multiple of 4? True Let u(h) = 4*h**2 + 8*h + 1. Does 43 divide u(-7)? False Let l be (3/9 + 0)*6. Let s be (-2 + l)/(1*3). Suppose -x = -s*x - 10. Is x a multiple of 10? True Let q be 0 + 0 - (0 - 11). Suppose -36 = -15*j + q*j. Does 5 divide j? False Suppose 0 = 4*l + h + h + 24, 3*l = -3*h - 18. Let v(r) = r**3 + 8*r**2 + 9*r + 2. Is v(l) a multiple of 10? True Suppose 0 = -3*r + 4*n + 3, -2*r + 13 = n - 0*n. Suppose r*o + 1 - 86 = 0. Does 5 divide o? False Let y be (3/2)/(12/32). Suppose -3*t = -4*u + 24 - y, -3*t = -u + 5. Is 4 a factor of 6 - (t + 0 + 2)? True Suppose 3*r = j + 74, -58 - 72 = -5*r + 5*j. Is -2 - (1 - (r - 1)) a multiple of 10? True Let b(d) = -2*d - 5. Let s be b(-4). Let w(m) = m**2 + 2 + 0*m**2 + m**2 - 5*m. Is w(s) a multiple of 2? False Let m = 8 + -8. Let c = m + 36. Is c a multiple of 18? True Suppose -4*i = -74 - 138. Is 9 a factor of i? False Suppose 3*u - 4 + 0 = -2*z, 0 = 3*u - 3*z + 21. Let p(r) = -11*r - 2. Is 10 a factor of p(u)? True Let g be ((-3)/4)/((-3)/(-144)). Let w = g - -66. Is w a multiple of 11? False Suppose 2*l - 6*l = 12. Let a = l - -3. Suppose -s + 5*s - 104 = a. Does 13 divide s? True Suppose 5*b = 8*p - 3*p - 1240, 478 = 2*p + 4*b. Is p a multiple of 35? True Let x = -13 + 23. Suppose -114 = 8*t - x*t. Is 19 a factor of t? True Let v = 319 - 130. Is v a multiple of 27? True Suppose -9 - 83 = -4*q. Is 6 a factor of q? False Suppose 0 = 4*v - 5*v + 72. Does 18 divide v? True Let v(s) = s**3 + 6*s + 0*s**2 - 5*s**2 + 3*s**2 + 4 - 5*s**2. Is v(6) a multiple of 4? True Let l = -154
{ "pile_set_name": "DM Mathematics" }
Expand -3*j**5 - 2*j**5 + 3*j**5 + (-1 - 1 + 3)*(6*j - 31 + 31)*(0*j**2 + 0*j**2 + 2*j**2)*(3*j**2 + 2*j**2 - j**2). 46*j**5 Expand (3098*p - 263*p**2 - 3098*p)*(0*p + 3*p - p). -526*p**3 Expand (-45*n + 50*n + 57*n)*(-5*n + 2*n + 0*n)*(-2*n - 2*n + 5*n)*(-2 - 1 + 4). -186*n**3 Expand (-4*h - 12*h**2 + 11*h**2 + 7*h**2)*(-4 + 2 + 0)*(3*h - 6*h - 3*h). 72*h**3 - 48*h**2 Expand (-1 - 23*h + 33*h - 20*h)*(-4 - 4 + 5). 30*h + 3 Expand (-2*l - l + 0*l)*(-2 - 1 + 4 + (3 - 1 + 0)*(-1 + 6 + 4)). -57*l Expand (-2 + 2 + 2*o)*(2*o - 6*o + o)*(3 + o - 3 + (o + 0*o + 0*o)*(3 - 1 + 0)). -18*o**3 Expand (-2*p + p - 3*p)*(189*p**3 - 2*p + 5*p - 215*p**3)*(-3*p - p + 2*p). -208*p**5 + 24*p**3 Expand (4*l - 2*l + 0*l)*(-4*l**3 + l**3 + l**3) - l**4 - 3*l**2 + 3*l**2 + (-3*l**2 + 2*l**2 + 3*l**2)*(-8*l**2 + 0*l**2 + 6*l**2 + 1). -9*l**4 + 2*l**2 Expand (1 + 2 - 2)*(0 + 0 - 2*j) + (5*j - 3*j - 5*j)*(1 - 4 + 5) + (-1 - 1 + 3)*(2 - 2 - j). -9*j Expand (0 + 2 + 9)*(-r**2 + r**2 - 3*r**4) + 6*r**2 - 9*r**2 - 4*r**4 + r**4. -36*r**4 - 3*r**2 Expand (-160 + 160 + 26*a**2)*((0 - 1 + 2)*(2 + a - 2) - 5*a + 2*a + 0*a + (-4*a + 0*a + 5*a)*(4 + 1 + 0)). 78*a**3 Expand (128 + 98 - 191)*(5*p - 3*p - 3*p)*(-5 - 2*p + 5). 70*p**2 Expand (-1 + 3 + 0)*(-3*f + 4*f - 4*f)*(-5*f + f**2 + 5*f)*(17*f - 4*f + 6*f). -114*f**4 Expand (-r**3 + 2*r**3 - 3*r**3)*(-5*r + r - 2*r) - 3 + 3 - r**4 - 4*r**2 + 2*r**2 + 3*r - 2*r**4 + 4*r**4. 13*r**4 - 2*r**2 + 3*r Expand (3*t**3 - 4*t**3 + 2*t**3)*(-1 + 2 + 0) + (-2*t - t + 4*t)*(4*t**2 - 4*t**2 - 2*t**2). -t**3 Expand ((m - 2*m + 3*m)*(m + 19*m + 4*m) - 3*m**2 + 0*m**2 + 6*m**2)*(1 - m + 1 + 2*m). 51*m**3 + 102*m**2 Expand 2*m - 25*m**2 + 98*m**2 + 45*m**2 + (5*m - 3*m + 0*m)*(0*m - 3*m + m). 114*m**2 + 2*m Expand (l**2 + 4 - 4)*(l - 2 + 2) - 997*l**3 - 923*l**3 + 1804*l**3. -115*l**3 Expand (-o**3 - 2*o**3 - 2*o**3)*(-2 - 1 + 0)*(0*o - 4*o + o). -45*o**4 Expand i**5 - 5*i**5 + 2*i**5 + 57*i**2 - 57*i**2 + 42*i**5 + (-i + 4*i - i)*(4*i**4 - 3*i**4 + 3*i**4). 48*i**5 Expand (-91*v**3 - 420 + 209 + 210 - v**2)*(-v**2 + 2*v - 2*v). 91*v**5 + v**4 + v**2 Expand a**3 + 0*a**2 + 0*a**2 + (-746 - 134*a + 746)*(a**2 - 4*a**2 + 4*a**2). -133*a**3 Expand (-5*d + d + 3*d)*(27 - 23 + 43). -47*d Expand (z - z - 2*z)*(9 - 6 + 5) - 125 + z + 125. -15*z Expand (30*g + 11*g - 39*g + 293)*(6 - 1 - 3)*(-g + 3*g - 3*g). -4*g**2 - 586*g Expand ((-3*b - 2*b + 6*b)*(8*b - b - b) - 6*b + b**2 + 6*b)*(-b - 2*b + 5*b). 14*b**3 Expand (3*y**2 - 5*y**2 + 3*y**2)*(y**3 + 0*y**3 + 0*y**3) + (16 - 18*y - 16)*(-14*y**4 + 8 - 8). 253*y**5 Expand (2*w**2 + 0*w**2 - w**2)*(-1 + 1 + 2*w) + (7*w - 4*w + 4*w)*(22*w - 15*w + 35*w)*(2*w + 2*w - 3*w). 296*w**3 Expand 2*n - 4*n + 5*n + 115*n - 17*n + 69*n + 2*n + 0*n + 0*n + (3*n - 6*n + 2*n)*(1 - 4 + 2) + 4*n + 0*n - 2*n. 175*n Expand -3 - o**3 + 3 - 4*o**3 + 3*o**3 + 4*o**3 + (o**3 + 3*o**3 - 3*o**3)*(-5 + 1 + 5) - 51*o + 6*o**3 - 4*o**3 + 55*o. 5*o**3 + 4*o Expand (6 + 0 - 4)*(-5*o**3 + 11833*o**2 - 11833*o**2). -10*o**3 Expand (2 - 4 + 3)*(v - 73*v + 34*v)*(-4 + 3 + 3). -76*v Expand (-t**2 - 1 + 1)*(-2*t**2 - 9*t**2 - 2*t**2) - 16*t**4 + 3 - 3. -3*t**4 Expand ((59*y - 33*y - 27*y - 12)*(0 + 1 - 6) - 2*y - 1 + 1)*(0*y**4 - 3*y**4 + 6*y**4). 9*y**5 + 180*y**4 Expand -7*j**3 + 2 - 2 + 2*j**3 + 0*j**3 + j**3 + (-2*j - j + 5*j)*(63*j - 27*j**2 - 63*j). -58*j**3 Expand ((2*x + x - 2*x)*(2 + 1 - 5) - 9*x + 50 - 50)*(6*x + x**4 - 3*x - 4*x). -11*x**5 + 11*x**2 Expand (-2 + 0 + 8)*(-1 - 1 + 0)*(-1 - 2 + 1)*(-4*n + 3*n + 2*n)*(5 - 2 + 19). 528*n Expand (-68 + 68 + 72*w)*(-3 - 5 - 4 - 4). -1152*w Expand 0*p**2 + 0*p**2 + 8*p**3 + (3*p**3 + 0*p**3 - 4*p**3)*(-2 + 4 - 3) - 39*p**3 + 14*p**3 - 37*p**3 - 85*p**3. -138*p**3 Expand (1274*f - 193938 + 193938 + f**2)*(3*f**3 - 2*f**3 - 3*f**3). -2*f**5 - 2548*f**4 Expand 1 - 1 - 3*a + (4*a - 3*a + a)*(1 + 0 - 3) - 11*a + 21*a - 13*a. -10*a Expand 0*d**3 - 2*d**3 + 5*d**3 + (24 - 32 + 23)*(-7*d**3 + 3*d**3 + 2*d**3) + 3*d**3 + d**3 - d**3. -24*d**3 Expand (-q - 2*q + 4*q)*(12 - 12 + 1451*q - 586*q). 865*q**2 Expand (12*n - 5*n + 610 - 611)*(7 + 12 - 3). 112*n - 16 Expand o**3 + o**3 + 0*o**3 + (0*o**2 + 0*o**2 + 2*o**3)*(3 - 3 - 2) - 7*o**3 + 5*o - 5*o + (4*o**2 - 2*o**2 - o**2)*(3*o - 2*o - 4*o). -12*o**3 Expand (14*j + j - 11*j)*(-2*j**4 + j**4 - 2*j**4) - j**5 - j**3 + 2*j**3 - 3*j**3. -13*j**5 - 2*j**3 Expand 18 - 9*t**2 - 18 + (-2*t - 2*t + 5*t)*(-3 + 0 + 5)*(-2*t + 0*t - t)*(2 + 3 - 4). -15*t**2 Expand (-1 + 1 - l**2)*(-8*l + 30 - 30) - 2*l**3 + 2*l**3 + 2*l**3 - 4*l**3 - 12*l**3 - 6*l**3. -12*l**3 Expand (3 - 3 - 6*l**2)*(0*l**2 - 3*l**2 + 0*l**2)*(-6*l - 1 + 1). -108*l**5 Expand (-5*d - 4*d + 4*d)*(-31*d**4 + 51*d**4 + 72*d**4). -460*d**5 Expand 2183*h**3 - 6*h**2 - 13*h**2 - 2152*h**3 + 2 - 2 + 2*h**3 + (-h + 4*h - h)*(-2*h**2 + 2*h**2 + h**2). 35*h**3 - 19*h**2 Expand (-1 + 0 - 1)*(2*q**2 + 2*q**2 - 2*q**2) - 24 - 9 + 19 - 6*q**2. -10*q**2 - 14 Expand ((0*a + 0*a + 2*a)*(-4*a**2 - 2*a**2 + 4*a**2) + a**3 + 0*a**3 + 0*a**3)*((2*a + a - a)*(-2*a - 1 + 1) + 4*a - 4*a + 3*a**2 - 2*a**2 - 12 + 12). 9*a**5 Expand (-4 + 2*y**3 + 4)*(12*y - 2*y + 10*y) + 8*y**4 + 19*y**2 - 19*y**2 + y - y - y**4. 47*y**4 Expand (-92*f**2 + 17*f**2 - f**2)*(29*f**3 - 8*f**3 - 2*f**3). -1444*f**5 Expand (3*q - 3*q - 2*q)*(-97 - 8 + 0 + 14). 182*q Expand (-2*d - 30*d - 39*d)*(-d**2 - d**2 + d**2) + (1 - 1 - d)*(-2*d**2 + 2*d**2 + 2*d**2). 69*d**3 Expand (-2*n + 0*n + 0*n)*(-1 + 1 - n) - n**2 + 3*n - 3*n - 1 + 1 + n**2 + (2*n**2 + 0*n**2 - 4*n**2)*(-17 - 75 - 3)*(0 - 1 + 3). 382*n**2 Expand -2 - h**5 + 2 + (0*h**4 - 3*h**4 + 4*h**4)*(106 - 84*h - 86 - 19). -85*h**5 + h**4 Expand (-21 - 30 - 45 - 86)*(-a + 3*a + a). -546*a Expand -113*m + 2307 - 2307 + (4 - 2 - 4)*(2*m + 3 - 3). -117*m Expand (120 - 10*b - 120)*(-b**3 - 2*b + 2*b) + 21*b**4 - 3125*b + 2*b**3 + 3125*b. 31*b**4 + 2*b**3 Expand (189 - 2*v - 470 + 211)*(2*v**2 + v - v). -4*v**3 - 140*v**2 Expand (-1 + 1 + 2*m**3)*(3 + 0 - 4) - 17*m + 17*m + 8*m**3 + 77*m + 19*m**3 - 77*m. 25*m**3 Expand (-3*j + 3*j + 3*j + (0 + 0 - j)*(-2 - 1 + 4))*(2*j + j - 5*j)*(-j + j + j**2). -4*j**4 Expand (3*v**2 - 4*v**2 - 3 + 3*v**2 + (-3 + 10 - 4)*(-2 + 2 - v**2))*(2*v**2 - 2*v**2 + 3*v**3). -3*v**5 - 9*v**3 Expand 13*c**2 + 6*c**2 + 7*c**2 + 3*c - c**2 - 3*c + (1 + 2*c - 1)*(c - 4*c + c) - 2*c**2 + 3*c**2 + c**2 - 5 - c**2 + 5. 22*c**2 Expand (3 - 4*v + 4*v - v)*(-44*v + 2*v - 139*v). 181*v**2 - 543*v Expand -3*m + 3*m + 3*m**2 + (-3*m + 0*m + m)*(2*m + 3*m - 3*m) + 345*m - 345*m - 74*m**2. -75*m**2 Expand (-c - c + 4*c)*(-c - c + 4*c)*(1 - 2 - 1 - 2 + 3 + 0 + (-2 - 1 - 3)*(-4 + 2 + 1)). 20*c**2 Expand -5*i**5 + i**5 + 3*i**5 - i**5 + 4*i**5 - 2*i**5 + (5*i**2 + 0*i**2 + 0*i**2)*(4*i**3 - i**3 + 0*i**3). 15*i**5 Expand (0 + 1 + 0 + 0 - 4 + 3 + (2 + 1 - 4)*(-1 + 0 - 1) + 1 - 3 + 0 - 6 + 3 - 5)*(0*g**3 + 4*g**3 - 2*g**3) + (0*g**2 - 2*g**2 + 4*g**2)*(0*g - g + 3*g). -12*g**3 Expand (-12 + 12 + 5*p)*(6 - 4*p + 0 - 4). -20*p**2 + 10*p Expand ((1 - 2 + 3)*(-2*u**2 + 3*u**2 - 4*u**2) + (-2*u + 3*u + 0*u)*(3*u + 2*u - 7*u))*(u - u + u). -8*u**3 Expand p - p - 2*p**2 + (2 - 6*p - 2)*(-2*p + 3 - 2 - 2). 10*p**2 + 6*p Expand 2 - 2 + a**5 + (-4*a + 2*a**3 + 4*a)*(4 - 4 - 2*a**2) + 2*a - 4*a**5 - 2*a - a**5 - 3*a + 3*a + (a**4 - a**4 + 6*a**4)*(4*a - a - a). 4*a**5 Expand (0*c + 4*c - 1 + c)*(-7 - 2 + 1). -40*c + 8 Expand 46 - 46 - 13*d**2 + (-1 - 6 + 2)*(d + 4*d - 3*d)*(d - 3*d + 4*d). -33*d**2 Expand (0*k - 4*k + 6*k)*(0 + 0 - 2*k) - k**2 + 3 - 3 + 72*k**2 + 277*k**2 - 118*k**2. 226*k**2 Expand (-y + 2*y - 3*y)*(-282*y**2 + 137*y**2 - 41*y**2) + 2*y**2 + 2*y**3 - 2*y**2. 374*y**3 Expand (2*i - 15*i - 3*i + (4 + i - 4)*(-1 + 3 - 1))*(1 - 2 - 1). 30*i Expand (3*j**2 + 0*j**2 - 2*j**2)*(3 - 3 - 1) + 268*j**2 - 153*j**2 + 3*j - 180*j**2. -66*j**2 + 3*j Expand (2*o + 2*o + o)*(-o + 4*o - o)*(2 + 0 - 1)*(9 - 21 + 22)*(-1 + 2 - 3). -200*o**2 Expand (n**3 + 3*n**3 + n**3 + (2 - 2 + n)*(-n**2 + 0*n**2 + 3*n**2) + n**2 - n**2 + 2*n**3)*(19 - 13 - 36). -270*n**3 Expand 3*i**2 + 0*i + 0*i + (i**2 - i + i)*(8 + 10 - 4) + 0*i**2 - 2*i**2 + i**2. 16*i**2 Expand -91*f**2 - 3007 + 3007 + (-4 - 4 + 5)*(-3*f**2 + 2*f**2 - 2*f**2). -82*f**2 Expand (2*j**2 + 0*j + 0*j)*(-j + 3*j + 0*j) - j**3 + 0*j**3 + 2*j
{ "pile_set_name": "DM Mathematics" }
*l**3. Suppose m(o) = 0. What is o? -2, 0, 1 Let m = 3089/5 - 617. Factor -2/5*k**3 + 4/5*k**2 - m + 2/5*k. -2*(k - 2)*(k - 1)*(k + 1)/5 Let q = 68 + -196/3. Find y, given that 3*y**4 + 5/3*y**2 - q*y - 4/3 + 6*y**3 = 0. -1, -2/3, 2/3 Let t(z) be the second derivative of z**9/1008 - z**8/280 + z**7/280 + z**3/6 - 4*z. Let m(v) be the second derivative of t(v). Factor m(p). 3*p**3*(p - 1)**2 Let g be -2*(-2 + 3)/(-2). Suppose 0 = 3*a - f - g, -a + 2*f = -4*a + 16. Solve a*t**2 - t**2 - 2*t**2 = 0 for t. 0 Suppose 0 = 3*p - 12, -5*p + 0 = -3*h - 17. Let w(v) = v**4 - v**3 + 6*v**2 + v - 7. Let o(n) = n**4 - n**3 + n - 1. Let k(z) = h*w(z) - 3*o(z). Factor k(u). -2*(u - 2)*(u - 1)*(u + 1)**2 Let l(s) = -s + 3*s - 3*s + 1. Let j(c) be the second derivative of c**4/6 + c**3 - 4*c**2 - 3*c. Let r(d) = j(d) + 12*l(d). Factor r(z). 2*(z - 2)*(z - 1) Let k = -5 + 9. Factor 2*f**5 - 2*f**4 - k*f - 2*f**4 + 2*f + 4*f**2. 2*f*(f - 1)**3*(f + 1) Suppose -3 = -4*m + 5. Find s, given that -s**3 - m*s**3 - 1 + 2*s**2 + 1 + s**4 = 0. 0, 1, 2 Let q(t) be the second derivative of -t**9/52920 + t**7/8820 + t**4/3 - t. Let j(g) be the third derivative of q(g). Factor j(l). -2*l**2*(l - 1)*(l + 1)/7 Let j = -370 + 373. Suppose -8/3*i**4 + 4/9*i - 2/3*i**2 - 34/9*i**j + 0 = 0. What is i? -1, -2/3, 0, 1/4 Suppose 0 = b - 3, -5*b = 3*m - 6*m - 9. Find p such that -1/2*p + 1/2*p**m + 0 = 0. 0, 1 Let w(j) be the first derivative of 2*j**3/15 + 8*j**2/5 + 24*j/5 - 10. Solve w(h) = 0 for h. -6, -2 Let o(q) = -q**2 + 5. Let i(c) = -1. Let r(m) = 4*i(m) + o(m). Determine g so that r(g) = 0. -1, 1 Determine g so that -1/10*g**4 + 2/5 + 1/5*g**3 + 3/10*g**2 - 4/5*g = 0. -2, 1, 2 Let d = -30 + 35. Let n(h) be the third derivative of 0*h**3 + h**2 + 0*h - 1/6*h**4 - 1/30*h**d + 0. Suppose n(u) = 0. Calculate u. -2, 0 Let w(l) = 43*l**3 - 80*l**2 - 153*l - 28. Let y(f) = 171*f**3 - 320*f**2 - 611*f - 111. Let k(n) = -9*w(n) + 2*y(n). Factor k(h). -5*(h - 3)*(h + 1)*(9*h + 2) Let k(l) be the third derivative of l**8/112 - l**7/105 - l**6/40 + l**5/30 + l**2. Factor k(f). f**2*(f - 1)*(f + 1)*(3*f - 2) Let p be (-1 - -2)/(1/9). Let g(d) = 3*d - 10. Let b be g(4). Factor -2*m**b + 3*m**4 - p*m**3 + 2*m + 5*m**5 + 2*m**3 - m**2. m*(m - 1)*(m + 1)**2*(5*m - 2) Let o(w) = -9*w**4 - 24*w**3 - 54*w**2 + 24*w - 9. Let g(l) = -2*l**4 - 5*l**3 - 11*l**2 + 5*l - 2. Let r = 25 - 49. Let q(a) = r*g(a) + 5*o(a). Factor q(p). 3*(p - 1)**2*(p + 1)**2 Suppose -4*j - j + 5*o = -30, -5*o = -3*j + 24. Determine d, given that 0*d + 0*d**j - 2/3*d**4 - 2/3 + 4/3*d**2 = 0. -1, 1 Let a = -55 - -58. Factor 2/3*g**2 + 2/9 + 2/3*g + 2/9*g**a. 2*(g + 1)**3/9 Let 0*w**2 - w**4 - 6*w**3 + 24*w + 0*w**4 + 71 - 87 - w**2 = 0. Calculate w. -4, 1 Let q be (-42)/(-8) + 1/(-4). Suppose 4*v + 13 = 5*v + 3*f, -q*v - 3*f = -29. Find m, given that 1/3*m**5 + 1/3*m + 2*m**3 + 4/3*m**v + 4/3*m**2 + 0 = 0. -1, 0 Let j(k) be the second derivative of -k**6/6 - 2*k**5 - 25*k**4/12 + 125*k**3/3 - 18*k. Let j(q) = 0. Calculate q. -5, 0, 2 Let k(g) = 5*g**4 - g**3 - 21*g**2 - 15*g - 4. Let j(v) = 55*v**4 - 10*v**3 - 230*v**2 - 165*v - 45. Let u(r) = -4*j(r) + 45*k(r). Determine n so that u(n) = 0. -1, 0, 3 Let w = 149/286 - 3/143. Solve w*l**2 + 3/2 - 2*l = 0. 1, 3 Let o = -8 - -9. Let b be 5 - o - 0/5. What is r in -37/3*r**2 - 3*r**b + 10*r**3 - 4/3 + 20/3*r = 0? 2/3, 1 Let t(c) = 2*c - 3. Let u be t(4). Suppose 3*z - 7 = s, 0 = 4*s + s - 5*z + u. Let -b**s + 4/3*b - 1/3 = 0. Calculate b. 1/3, 1 Let a(g) be the second derivative of -g**7/21 + g**6/3 - 9*g**5/10 + 7*g**4/6 - 2*g**3/3 - 23*g. Factor a(z). -2*z*(z - 2)*(z - 1)**3 Let z be (14/84)/((-1)/(-10)). Solve -z*s**3 - 16/3*s**2 - 4/3*s + 25/3*s**4 + 0 = 0. -2/5, 0, 1 Let h(n) be the first derivative of 2/5*n**2 + 14/15*n**3 + 0*n + 1 + 4/5*n**4 + 6/25*n**5. Factor h(i). 2*i*(i + 1)**2*(3*i + 2)/5 Suppose 0 = -2*q - 3*g - 13, 26 = q - g - 4*g. Suppose 3*f = -0*f - 5*x - q, 0 = -4*f - 3*x + 6. Factor 0*m**2 + m**2 + m**f + 0*m**2 - 2*m. m*(m - 1)*(m + 2) Let c(x) be the second derivative of -x**5/40 - x**4/24 + 3*x. Factor c(y). -y**2*(y + 1)/2 Let s be (-46)/(-130) - 30/195. Suppose 1/5 - s*l**2 + 1/5*l - 1/5*l**3 = 0. What is l? -1, 1 Let q(t) be the third derivative of -t**7/4620 - t**6/660 - t**5/330 - 5*t**3/3 + t**2. Let o(v) be the first derivative of q(v). Find b such that o(b) = 0. -2, -1, 0 Let u(t) be the second derivative of -t**7/7 + 4*t**6/15 + 2*t**5/5 - t**4 - t**3/3 + 2*t**2 - 9*t. What is r in u(r) = 0? -1, -2/3, 1 Factor 2*q**5 + 2*q**4 + 15*q**2 + 2*q - 19*q**2 + 0*q**4 - 4*q**3 + 2. 2*(q - 1)**2*(q + 1)**3 Suppose -4*x - 14 + 30 = 0. Let l(w) be the first derivative of 15/7*w**2 + 18/7*w**5 + 3 - 3/14*w**x - 4/7*w - 62/21*w**3. Find r, given that l(r) = 0. -1, 1/3, 2/5 Let b(o) be the third derivative of o**8/112 + o**7/105 - o**6/30 - o**5/30 + o**4/24 + 11*o**2. Determine h so that b(h) = 0. -1, 0, 1/3, 1 Let r(k) be the first derivative of 1/30*k**6 + 1/3*k**3 - 1 - 2*k + 0*k**4 - 1/2*k**2 - 1/10*k**5. Let x(q) be the first derivative of r(q). Factor x(h). (h - 1)**3*(h + 1) Let x(z) be the third derivative of 5*z**8/504 + z**7/45 - 2*z**6/45 - 2*z**5/45 + 2*z**2. Find t, given that x(t) = 0. -2, -2/5, 0, 1 Let m(z) be the third derivative of -2/3*z**4 - 2/5*z**5 - 2*z**2 - 1/10*z**6 + 0 + 0*z**3 + 0*z - 1/105*z**7. Factor m(t). -2*t*(t + 2)**3 Let m(q) = -q**3 - 4*q**2 + 3*q + 6. Let z be m(-5). Solve -4*b + 3*b**2 - z*b + 7*b**4 + 3*b**2 - 8 + 23*b**3 - 8*b = 0 for b. -2, -2/7, 1 Let p be 4 + -2 + (3 - 3). Let b be ((-8)/(-18))/p*3. Let d + 1/3*d**2 - b + 1/3*d**4 - d**3 = 0. Calculate d. -1, 1, 2 Let j(i) be the second derivative of 0*i**2 + 2/39*i**3 + 10*i + 0 + 1/78*i**4. Find p, given that j(p) = 0. -2, 0 Solve 0 + 3/4*s**5 + 3/4*s**2 + 9/4*s**3 + 0*s + 9/4*s**4 = 0 for s. -1, 0 Let k(b) be the second derivative of -b**7/21 + b**6/15 + b**5/10 - b**4/6 + 27*b. Factor k(a). -2*a**2*(a - 1)**2*(a + 1) Let b be (-30)/50 - 19/(-30). Let f(m) be the second derivative of b*m**5 - 4*m + 1/63*m**7 + 0*m**2 + 2/45*m**6 + 0*m**3 + 0*m**4 + 0. Factor f(i). 2*i**3*(i + 1)**2/3 Factor -8/5*m + 2 - 2/5*m**2. -2*(m - 1)*(m + 5)/5 Let l be 124/(-2)*3/(-139). Let a = l + -2/417. Solve -a*c - 34/3*c**4 - 22/3*c**2 - 14*c**3 + 0 - 10/3*c**5 = 0 for c. -1, -2/5, 0 Suppose -2*s - 3 = -3*y + 1, 0 = 5*s - 5*y. Let k(g) be the second derivative of 2*g - 3/4*g**s - 1/2*g**2 + 0 - g**3. Factor k(b). -(3*b + 1)**2 Let w(f) be the third derivative of f**6/60 + f**5/5 - 11*f**2. Solve w(q) = 0 for q. -6, 0 Let j(n) be the third derivative of -n**7/840 + n**6/480 + n**5/80 - 5*n**4/96 + n**3/12 + 36*n**2. Factor j(c). -(c - 1)**3*(c + 2)/4 Let l = 4 - 0. Suppose -n**2 + 5*n**2 - 2*n**3 + 2*n**5 - 4*n**l + 0*n**2 = 0. Calculate n. -1, 0, 1, 2 Let p(q) be the first derivative of -1/24*q**4 + 1/80*q**5 + q + 1 + 0*q**2 + 1/24*q**3. Let w(s) be the first derivative of p(s). Factor w(h). h*(h - 1)**2/4 Let a be -1*(5 - -4)/3. Let v be a/15*(-30)/4. Let -3/2*o + 9/2*o**2 + v*o**3 - 3 - 3/2*o**4 = 0. Calculate o. -1, 1, 2 Let h(w) = w**3 + w**2 - 2*w. Let u(d) = 3*d - 3*d**2 - 6*d + 2*d**3 + 4*d**2. Let t(z) = -10*h(z) + 6*u(z). Factor t(m). 2*m*(m - 1)**2 Let r(m) = m**4 - 10*m**3 + 7*m**2 + 6*m. Let d(b) = -9*b**4 + 81*b**3 - 57*b**2 - 48*b. Let i(s) = 4*d(s) + 33*r(s). Let i(c) = 0. Calculate c. -2, -1, 0, 1 Let v be -4 - 2*9/(-6). Let h = v - -1. Suppose -2/9*n**3 + 0 + 2/9*n + h*n**2 = 0. Calculate n. -1, 0, 1 Let k(j) = -4*j**4 - 2*j**3 - j + 1. Let d(h) = 7*h**4 + 4*h**3 + h - 2. Let g(n) = 3*d(n) + 5*k(n). Factor g(t). (t - 1)*(t + 1)**3 Let n(p) be the first derivative of 0*p - 3 + 1/2*p**4 - 4/3*p**3 + p**2. Factor n(i). 2*i*(i - 1)**2 Let s(l) be the first derivative of l**4/12 + 2*l**3/3 + 2*l**2 - 4*l - 2. Let v(r) be the first derivative of s(r). Find u, given that v(u) = 0. -2 Let f(n) be the first derivative of n**6/3 - 2*n**5 + 9*n**4/2 - 14*n**3/3 + 2*n**2 + 1. Factor f(k). 2*k*(k - 2)*(k - 1)**3 Suppose 3*b + 4*x = -2*b + 18, 4*b + x = 10. Let r be -2*((-5)/2 - -1). Factor -r + 1 + 2*u + u**2 - b*u**3 + u**2. -2*(u - 1)**2*(u + 1) Let y(r) = -r + 6. Let x be y(4). Find k such that -k**4 + 2*k**x + 0*k**4 + 2*k**4 - 3*k**2 = 0. -1, 0, 1 Let q(r) be the thi
{ "pile_set_name": "DM Mathematics" }
? 22 Let a(j) = -j**3 - 9*j**2 + 9*j + 8. Let l be a(-9). What is the remainder when 61 is divided by -1 - (l/7 + (-30)/(-70))? 7 Let t(y) = 11*y - 6. Let s(v) = v - 14. Let z be s(10). Let i be (1 + 28/(-16))*z. Calculate the remainder when 106 is divided by t(i). 25 Suppose -4*s - 47 = -271. Suppose 0 = 5*i + 2*k - 83 + 23, -48 = -4*i - 4*k. What is the remainder when (s + -1)*4/10 is divided by i? 10 Suppose -68 = -5*i + 5*j - 18, 2*i - 3*j = 20. What is the remainder when 17 is divided by i? 7 Suppose 3*u = -u + 32. What is the remainder when 11 is divided by -2*6/u*-2? 2 Suppose -2*j = -6*j + 232. What is the remainder when j + (3 - (-1)/(-2 - -3)) is divided by 11? 7 Suppose 7*m = 14*m. Let j(b) = -b**3 - b**2 + b + 5. Calculate the remainder when 23 is divided by j(m). 3 Suppose 9*v - 4*k = 5*v + 272, 0 = -2*v - 5*k + 129. Calculate the remainder when v is divided by 17. 16 Let o(f) = -f**3 + f**2 + f + 43. Let t(h) = h - 3. Let u be t(3). Let l = -255 - -278. What is the remainder when o(u) is divided by l? 20 Let k(x) = x**3 + 19*x**2 - 22*x - 32. Let b(r) = -r**3 + 5*r**2 + 3*r. Let l be b(6). Let v = l - -39. What is the remainder when v is divided by k(-20)? 5 Let i(u) = u**2 - 8*u + 5. Calculate the remainder when i(8) is divided by (-104)/(-65) - (-4)/10. 1 Let f = -2107 + 2151. Suppose 0 = 3*q - 4*q + 3, 6 = r - 2*q. Calculate the remainder when f is divided by r. 8 Let z(f) = 4*f. Let g = 9214 - 9201. Calculate the remainder when z(6) is divided by g. 11 Suppose 7*r = 3*r - 204. Let g = r + 65. Calculate the remainder when 26 is divided by g. 12 What is the remainder when (-9)/(-12) + 1204/16 is divided by 75? 1 Let q(k) = k**2 - 3*k - 1. Suppose -5*p = 7*w - 2*w, -35 = -3*w + 4*p. What is the remainder when 16 is divided by q(w)? 7 Let b = -6 + 4. Calculate the remainder when (12375/44)/25*(-24)/(-9) is divided by -20*(b + 12/10). 14 Suppose -15*i - 8 = -19*i. Suppose -5*q + 4*r = -1 - 69, -33 = -q - 3*r. What is the remainder when ((-8)/12)/(i/(-156)) is divided by q? 16 Suppose -15 + 81 = 2*i + 3*d, -i - 3*d + 33 = 0. What is the remainder when i is divided by 27? 6 Suppose 0 = -l - 1 + 9. Let g(z) = z**3 - 9*z**2 + 9*z - 8. Let m be g(l). Let u = m - -10. Calculate the remainder when 16 is divided by u. 6 Suppose 18*m - 5*h = 23*m - 65, 0 = 2*m - 3*h - 1. What is the remainder when 111 is divided by m? 7 Suppose 13*i - 205 = 484. Let m(l) = 12*l + 4. Let y be m(6). Suppose -19 = -q + v - 2, -5*q = -2*v - y. What is the remainder when i is divided by q? 11 Suppose 0 = 2*o + 5*t - 102, 51 = o - 13*t + 8*t. What is the remainder when 182 is divided by o? 29 Suppose 0 = -4*q - 13*d + 18*d + 64, 3*d - 16 = -q. Calculate the remainder when 37 is divided by q. 5 Let p(s) = -s**3 + 9*s**2 + s - 1. Let v be p(9). Suppose -4*f + 0*f + v = 0. Calculate the remainder when (-34)/(-4) - (-1)/f is divided by 4. 1 Let h(b) = b**3 - 5*b**2 + 5*b + 1. Let n be h(4). Let i = n - 0. Suppose i*o + 0*a = 2*a + 85, -5*a = -o + 40. Calculate the remainder when o is divided by 6. 3 Suppose -3*q + 133 = -4*n, 4*n - 9*n = -25. Calculate the remainder when 184 is divided by q. 31 Suppose 3*k + d = 3*d + 19, -5*k - 5*d = -15. Let s(q) = q**2 - 3*q + 11. What is the remainder when s(k) is divided by 12? 9 Let c be 5 + (-9)/(36/8). Suppose -2*d = -0*d - c*j - 12, 2*j + 8 = 3*d. Suppose -2*l + 9*l - 406 = d. What is the remainder when l is divided by 15? 13 Suppose 3*x = -n - 3*n + 926, x - 2 = 0. Let q be (1/(-3))/(6/(-72)). What is the remainder when 12/10*n/q is divided by 18? 15 Suppose 6*a = -l + 219, -3*l - 5*a = l - 952. Calculate the remainder when 493 is divided by l. 7 Suppose -3*q + 2*f + 3*f - 162 = 0, 4*q + 5*f + 251 = 0. Let h = -27 - q. Calculate the remainder when 93 is divided by h. 29 Let g(j) = 2*j**2 + 5*j + 4. Let p be g(-3). Let d = p - 8. What is the remainder when 16 is divided by d*2*18/(-4)? 7 Let n(k) = 2*k + 15. Let g = -55 - -79. What is the remainder when n(g) is divided by 16? 15 Let k(y) = y**2 - 23. Calculate the remainder when 148 is divided by k(-8). 25 Let z be (-371)/(-28) - (22/(-8) + 3). Suppose -3*v + h = -101 + z, -3*h = -4*v + 119. What is the remainder when 114 is divided by v? 27 Let u(i) = 20*i + 633. Suppose -320 = -2*b - 3*b. What is the remainder when b is divided by u(-31)? 12 Suppose -14*w + 54*w = 26480. Calculate the remainder when w is divided by 35. 32 Let d be ((-8)/6)/(3/(-9)). Suppose -5*m + 2*t = -36 - 37, 3*m - 55 = d*t. What is the remainder when 136/4 - (-3 + 1) is divided by m? 10 Let t = 152 + -155. Let l(g) = -2*g**3 - g**2 - 6*g. What is the remainder when l(t) is divided by 34? 29 Suppose 0 = -2*u + 5*u + 15. Let d(f) = -f**3 - 3*f**2 + 3*f - 1. Let x be d(u). Let t = x + -7. What is the remainder when t is divided by 5? 2 Calculate the remainder when 130 is divided by 5*((-8 - -4) + 7). 10 Suppose -2*o - 5 = -o, i - 54 = 5*o. Suppose 2*n - i - 9 = -3*y, -2*y - 57 = -3*n. What is the remainder when 73 is divided by n? 16 Suppose -2*g - 97 = -2*u - 301, -5*g = 2*u - 489. Calculate the remainder when g is divided by (-2)/(-1)*(-4)/32*-100. 24 Let y(t) = 11*t**3 + 6*t**2 - 8*t + 7. What is the remainder when y(2) is divided by 22? 15 Calculate the remainder when 28 is divided by 208/14 + (-5)/140*-4. 13 Suppose 7 = 3*t - 2. Suppose -t*n = n + 4. What is the remainder when n - (198/3)/(-1) is divided by 17? 14 Let i = -24 - -3. Let v = i + 21. Suppose -3*f + 43 - 1 = v. What is the remainder when f is divided by 5? 4 Suppose 0 = -11*w + 190 + 74. Calculate the remainder when 789 is divided by w. 21 Let n = -2367 - -3444. Calculate the remainder when n is divided by 98. 97 What is the remainder when 12/(-36)*-237 + 1 + 4 is divided by 21? 0 Calculate the remainder when 6*(-8)/24*-37 is divided by 11. 8 Let a(w) = 19*w - 17. Calculate the remainder when a(19) is divided by 58. 54 Let a(v) = -7 - 3 - v + 9 - v + 3*v**2. Calculate the remainder when 78 is divided by a(3). 18 Let m = -13 - -17. Suppose -4*z - 8 = 0, -m*r - 5*z = 5 + 5. What is the remainder when 33 is divided by (-4)/8*(r - 24)? 9 Suppose -6*w + 9 = -3*w. Suppose -w*f = d - 54, -4*d + 181 = -5*f + 16. What is the remainder when d is divided by 12? 9 Suppose -24 = -q + 5*a, -5*q - 4 = a - 20. Calculate the remainder when (12/(-10))/((-9)/60) is divided by q. 0 Let p(l) = 14*l**2 - 2*l + 2. Let x be p(1). Suppose -2*w + x = h - 14, h + 3*w - 24 = 0. What is the remainder when h is divided by 19? 17 Let z = 58 + -38. Let o = -140 - -256. Suppose -2*x - 2*t = -o, -58 = -x - 2*t + 4*t. What is the remainder when x is divided by z? 18 Suppose 421*w = 413*w + 1552. Calculate the remainder when w is divided by 10. 4 Suppose -2*z + 2*t = 4*t - 26, 3*z - 19 = t. Let k(l) = l**2 + 3 - 2 - 2*l - z*l + 2*l. What is the remainder when k(11) is divided by 18? 16 Suppose 3*i = -3*k + 117, 3*i - 3*k = -0*k + 129. Suppose 3*x + 159 + 48 = 0. Let v = 80 + x. Calculate the remainder when i is divided by v. 8 Suppose 52*m - 45*m = 833. Suppose 4*l - 45 - 151 = 0. Let v = l - 25. What is the remainder when m is divided by v? 23 Suppose -59*m = -41*m - 2484. What is the remainder when m is divided by 10? 8 Calculate the remainder when 10*(2 - (-4)/2) is divided by (10 - -1) + (-1 - (-8)/(136/(-51))). 5 Suppose 13*u = -396 + 773. Calculate the remainder when 143 is divided by u. 27 Let i = -2257 - -2528. Calculate the remainder when i is divided by 97. 77 Let t(i) = -14*i - 49. What is the remainder when t(-6) is divided by (-18)/(-2) + 1 + 0? 5 Let s(y) = -20*y - 6. Suppose -10*d - 20*d + 390 = 0. Calculate the remainder when s(-4) is divided by d. 9 Suppose 3*h + 91 = 5*q, -2*q - 3*h = -7*h - 28. Let o = 86 - q. Calculate the remainder when o is divided by 24. 18 Let k = 22 + -13. Let t(r) = -4*r**2 - 2*r + 42. What is the remainder when t(0) is divided by k? 6 Let q(w) = -w**3 - 12*w**2 - 14*w - 3. Suppose 2 = z, 4*j - 19 = 5*j - 4*z. Calculate the remainder when 85 is divided by q(j). 25 Let q be (-28)/56*-10*5. Let c = 35 - q. Let t = 28 - -20. Calculate the remainder when t is divided by c. 8 Suppose 0 = 10*j - 8*j - 4*p - 8, 16 = j + 2*p. What is the remainder when 88 is divided by j? 8 Suppose y - 3*i - 46 = 37, -5*y + 2*i + 376 = 0. Let p = 8
{ "pile_set_name": "DM Mathematics" }
104. Is p(7) a multiple of 24? False Let c be 15 + ((-75)/5)/(-5). Suppose -72 = -c*p + 16*p. Is p a multiple of 6? True Let q = 140 + -58. Let l = -35 + q. Is 10 a factor of l? False Suppose -2*h = y - 122, -3*h - y = h - 248. Is h a multiple of 3? True Suppose -u = q, 3*u + 0*q - 5*q = 24. Suppose 4*j + 8 = -0*j, 0 = -4*n - u*j + 6. Does 2 divide n? False Let g = 272 + -112. Suppose -4*w + v + 152 = 0, 3*w - g = -w - v. Let u = w - 16. Is u a multiple of 6? False Suppose -4680 = -5*t - l, 936 = t - 20*l + 17*l. Is 18 a factor of t? True Let w(r) = 4*r**3 - 3*r**2 + 3*r - 2. Let k be w(4). Suppose -3*j + k = -5*q, 2*j + 2*q = 5*q + 147. Is j a multiple of 42? False Suppose -10*t + 216 = -4*t. Suppose 3*f - 135 = 3*k, -3*f + t = -2*f + 2*k. Is 22 a factor of f? False Let v = -118 - -146. Let l = -18 + 30. Suppose 4*o = l + v. Is 5 a factor of o? True Let d(u) = -4*u**3 - 6*u**2 - 5*u - 45. Does 30 divide d(-5)? True Let j = -3103 - -4203. Is 25 a factor of j? True Let x(m) = -4*m**3 - 5*m**3 + 0*m**2 - m**2 + 11*m**3 + 4 + m. Is x(3) a multiple of 26? True Let l(c) = -c. Let z be l(0). Suppose z = a - 3*f + 4*f + 36, -2*f + 126 = -4*a. Let h = a - -69. Does 12 divide h? True Let z be -6*(8/(-6) - -1). Suppose -s = -z - 8. Is ((-480)/25)/((-3)/s) a multiple of 17? False Let n(x) = -x**3 - 10*x**2 - 19*x - 2. Is 20 a factor of n(-12)? False Let a = 2 - 10. Let t be (-7)/28 + 54/a. Does 6 divide (1 - t)*3/2? True Suppose 4*x = x - 6. Let d(j) = j**2 + 1. Let r(n) = 11*n**2 + 2*n - 4. Let h(o) = 2*d(o) + r(o). Does 23 divide h(x)? True Suppose -2*n - n - 2*s = -438, 0 = 3*n - 4*s - 420. Let i be 1/3 - n/(-54). Suppose 2*x - 164 = -i*a - a, -2*a - 2*x = -80. Is a a multiple of 13? False Is 50 a factor of 3206/4 - (1995/38)/35? True Suppose -2*p - 246 = 4*p. Let y = 53 + p. Is 3 a factor of y? True Suppose 0 = k + h + 1, 3*k = 2*h - 3*h + 5. Suppose -k*p = -0*p + s - 11, -5*p - 5*s = -15. Suppose 2*o = p*o - 54. Does 7 divide o? False Is ((-42)/4)/(-3)*(-2436)/(-42) a multiple of 10? False Let s(u) = u**3 + 10*u**2 + 10*u + 12. Let h be s(-9). Is 23 a factor of (920/12)/(-2 - (-8)/h)? True Let l(a) = a**2 + 16*a - 12. Let c be l(-14). Suppose 5*s = -441 - 89. Let t = c - s. Is 19 a factor of t? False Let v = -132 - -131. Let h(i) = -4*i. Let q be h(6). Is 13 a factor of v - (q - (0 + 3))? True Let t(m) = 10*m - 11*m - 2 - 22*m**3 - 15*m**3. Suppose 41 = j + 42. Is 9 a factor of t(j)? True Suppose -9836 + 2338 = -3*d - 5*z, 4*z = -5*d + 12475. Does 24 divide d? False Let v = -112 + 170. Is v/((-44)/(-12) - 3) a multiple of 16? False Let a = -94 + 94. Suppose 3*h + i + 0*i - 933 = a, -h + 300 = 4*i. Is h a multiple of 21? False Suppose 0 = -2*w - 126 + 1370. Let s = w + -958. Is 17 a factor of (s/40)/(6/(-20))? False Suppose -4*i = -5*i - 6. Let g be (-2)/(-3) + 202/i. Let k = 63 + g. Is 9 a factor of k? False Let u(o) be the third derivative of -o**6/360 + o**5/12 + o**4/8 - 2*o**3/3 - 3*o**2. Let w(z) be the first derivative of u(z). Is w(10) even? False Let m(v) = -59*v - 13. Let r be m(2). Let j = -53 - r. Is 13 a factor of j? True Suppose 5*t - 353 = -5*a + 472, -165 = -t - 3*a. Let p = t - 91. Is 37 a factor of p? True Let j = -35 + 128. Suppose 3*x - j = -5*h, -75 = -3*h - x + 4*x. Is h a multiple of 7? True Let y be (-128)/(-3) - 4/6. Suppose y - 114 = -6*d. Is 2 a factor of d? True Let c(s) = -9*s + 39*s**2 + s**3 - 1 + 2 - 43*s**2. Let d be c(6). Suppose -a + d = -20. Is 13 a factor of a? True Suppose 3*s + 2*s - d = 0, -2*s - 3*d - 17 = 0. Let n(o) = 99*o**2 - o. Is n(s) a multiple of 14? False Suppose 190 - 38 = j. Is j a multiple of 8? True Let j = 14 - 10. Suppose 0 = 2*t + j*x - 30 - 14, 2*t = 4*x + 60. Let i = 73 - t. Is i a multiple of 14? False Let o be -4 + 10 + 3 + 2. Let b(p) = p + 39. Is 7 a factor of b(o)? False Suppose 0 = r + 2*r - 9. Suppose 0 = 2*n + r*n - 320. Is 8 a factor of n? True Suppose 157*j - 159*j + 6 = 0. Suppose -o + 25 = -n, 0*o - 4*o + j*n = -102. Does 7 divide o? False Let s be 2 - (0/(-4))/(-4). Suppose -29 = -2*f - s*q + 17, -f - 4*q + 29 = 0. Is 3 a factor of f? True Let w = -23 - -25. Suppose 29 = 3*p - 5*q, 2*p + p + w*q = 1. Suppose -5*u - p*t = -331, -75 + 424 = 5*u - 3*t. Is u a multiple of 17? True Is 19 a factor of 384 + -7 + (-52)/13? False Let f = -25 - -20. Does 8 divide (-1 - (f + -82)) + 0? False Let f(p) = -p**2 + 5*p - 3. Let y be f(2). Suppose 220 = 4*h + 4*x, 2 - 4 = 2*x. Suppose -2*u - y*s = -u - 29, h = 2*u + 5*s. Is u a multiple of 5? False Let b = -28 - -31. Suppose 0*x + b*x = 66. Is x a multiple of 6? False Suppose 0 = 3*c + 5*f - 2 - 3, 4*c - 4*f = -4. Suppose 3*v + c*t - 138 = -t, 3*v - t - 138 = 0. Does 23 divide v? True Let f = -18 - -35. Let p = f + -40. Is 8 a factor of (-2)/(-1) + -1 - p? True Suppose 92 = -h - 165. Let u = -121 - h. Suppose -5*r = 4*o - 294, -2*o + u + 18 = -r. Is 13 a factor of o? False Suppose k - 3*k = 0. Suppose k = -t - 4*x + 48 + 37, -x + 91 = t. Is 16 a factor of t? False Suppose -m + 3*v + 16 = -6, 3*m + 4*v = 1. Does 4 divide m? False Suppose 16*j + 691 = -525. Let l = j - -135. Does 47 divide l? False Let j(y) = -7*y**2 - y**3 + y**2 + y - 3*y**2 + 4 + 3*y**2. Let o be j(-5). Let i = -20 - o. Is 3 a factor of i? True Does 54 divide (0 - 385)/(-7) - -6? False Suppose -7*a + 95 = -2*a. Suppose 20 + a = 3*y. Suppose w - 17 - y = 0. Does 9 divide w? False Let w(q) = -q**3 + 4*q + 1. Let i be w(-3). Let s(c) = i + 18*c - 16. Is s(2) a multiple of 12? True Let s(w) = w**2 - 3*w + 3. Let z be s(0). Let d be (6 - 0)*(2 - z). Is 6 a factor of (d/(-5))/(1/5)? True Let w be ((-89)/2)/(8/(-16)). Suppose -2*x - w = -2*o + 201, 2*o + 5*x = 283. Is 26 a factor of o? False Suppose z - q = -18, z + q + 36 = -z. Does 22 divide z/8*288/(-27)? False Suppose 0 = -2*d + 36 + 32. Suppose -5*o = -g + d, 2*g = -3*g - 5*o + 50. Is g a multiple of 11? False Suppose 24 = 5*t + 7*t. Suppose 0 = -5*q + 5, 3*k - t*q = 403 + 147. Is 23 a factor of k? True Let o = 32 + -30. Suppose 0 = g - 2*k, 0 = g + o*g - 3*k - 12. Let m(b) = b**3 - 6*b**2 - 7*b - 10. Is 13 a factor of m(g)? False Let g(a) = 124*a + 12. Is g(3) a multiple of 58? False Let q be ((-495)/6)/(2/(-4)). Suppose 2*n = 5*n - q. Is n a multiple of 11? True Let k = -1313 - -1755. Does 13 divide k? True Suppose -u = 2 + 12. Is 63/u*114/(-9) a multiple of 13? False Suppose -2*m - 132 = -3*m - y, 0 = 4*m + y - 525. Is 23 a factor of m? False Let t be 3/2 + 454/(-4). Let k = 191 + t. Let j = k - 35. Is j a multiple of 11? True Suppose -s = -3*s + 150. Is 14 a factor of s? False Suppose 10*r = 4210 + 1670. Is r a multiple of 52? False Let h(x) = x - 5. Let m be h(9). Suppose -r + 3*r - b = 5, -4*r + 40 = m*b. Is 11 a factor of (2 - r) + (-400)/(-5)? True Suppose -4*h + 9*h - 2600 = 0. Does 8 divide h? True Let m(a) = 4*a**2 - 17*a - 275. Is 18 a factor of m(23)? False Let x(i) = 2*i**2 + 19*i - 106. Does 4 divide x(-25)? False Let p(y) = 2*y**2 - 28*y + 17. Does 27 divide p(-11)? True Let l(q) = -3*q**3 - 2*q**2 + 9*q - 3. Let s be l(-4). Suppose 2*w = 2*u + 56, 4*w - 2*u - s = -u. Is w a multiple of 31? True Let t = -68 - -84. Suppose 0 = 13*k - t*k + 3*m + 24, -m - 11 = -2*k. Is 2 a factor of k? False Suppose t = -4*x - 34 + 83, 0 = -5*x - 3*t + 70. Suppose x = -d + 21. Is 10 a factor of d? True Is 8 a factor of (-3 - 608)*2*(-7)/14? False Suppose -2*b = 5*y + b - 10, 0 = -2*b - 10. Suppose 0 = y*k - 3*k - 70. Is k a multiple of 35? True Suppose 22 = m + 2*q, 2*q = -2*q + 8. Let y = m + 70. Is y a multiple of 22? True Suppose 0 = 3*u - 0*u - 2*h - 8, u - 5*h + 19 = 0. Let g(n) = u*n + 0 - 2 - 4 - 2*n. Does 8 divide g(7)? False Let d be 1*(1*34 + -2). Suppose 4*i - 2*h = h + 34, -2*i + 12 = -4*h. Suppose 2*b + i = d. Is 3 a factor of b? False Let m = -10 + 15. Suppose -s + 217 = 3*h, 3*h - m*s - 4 = 189. Let b = h - 37. Is 17 a factor of b? True Let c(f) be the first derivative of f**6/120 - f**5/12 - 5*f**4/24 - f**3/6 + 7*f**2/2 - 7. Let l(i) be the second derivative of c(i). Is 4 a factor of l(6)? False Suppose -2*j + 356 = -3*b, 5*j = 2*j - 2*b + 521. Does 14 divide j? False Suppose 0 = -3*u + 3 - 0. Let h(x) = x**2 + 4*x**3 - 2*x - 3 - 1 + 5*x - u. Is h(2) a multiple of 27? False Suppose -4*n - 5 = -21. Suppose -5 = -
{ "pile_set_name": "DM Mathematics" }
i(s) = 26*s - 271. Give i(11). 15 Let t(s) = -s**2 - 5*s + 37. Calculate t(4). 1 Let z(j) = -j**2 - 206*j + 2386. What is z(11)? -1 Let n(r) = -r**3 + 6*r**2 + 38*r + 33. Calculate n(10). 13 Let t(r) = 2*r**2 - 120*r + 476. Calculate t(4). 28 Let b(o) = o**3 - 10*o**2 - 83*o + 724. What is b(12)? 16 Let a(b) = 4*b**2 + 86*b + 112. Give a(-20). -8 Let t(l) = -l**2 + 207*l - 8161. What is t(154)? 1 Let t(c) = -2*c**3 + 83*c**2 + 1094*c - 91. Calculate t(52). 13 Let z(o) = -4*o**3 + 55*o**2 - 30*o - 44. Determine z(13). 73 Let z(c) = -c**2 - 32*c - 116. Give z(-5). 19 Let i(k) = k**3 + 110*k**2 + 632*k + 840. Calculate i(-104). 8 Let v(y) = -y**2 + 240*y - 485. Calculate v(2). -9 Let b(p) = -p**3 - p**2 + 77*p + 27. Give b(-9). -18 Let p(w) = -91*w + 257. What is p(-4)? 621 Let j(l) = l**3 - 8*l**2 - 160*l + 100. Calculate j(17). -19 Let s(q) = -392*q + 5947. Determine s(15). 67 Let b(z) = 22*z**3 - 2*z**2 + 3*z + 1. Give b(2). 175 Let n(u) = -u**3 - 16*u**2 + 136*u + 64. Calculate n(-22). -24 Let u(x) = -2*x**2 + 60*x + 34934. Determine u(148). 6 Let t(b) = -b + 415. Determine t(41). 374 Let r(x) = -x**2 + 19*x + 29. Determine r(22). -37 Let y(p) = 2*p**3 - 8*p**2 - 15*p + 15. Give y(6). 69 Let l(z) = 88*z + 1038. Determine l(-12). -18 Let k(x) = 23*x + 26. What is k(3)? 95 Let h(r) = -232*r - 23. Determine h(1). -255 Let v(j) = -2*j**3 - 30*j**2 - j + 17. What is v(-15)? 32 Let j(r) = r**3 - 16*r**2 + 94*r - 430. Calculate j(11). -1 Let m(y) = -314*y - 34. Determine m(4). -1290 Let c(i) = -i**2 - 3*i - 21. Give c(-3). -21 Let n(g) = 36*g - 77. Determine n(-2). -149 Let y(f) = 338*f + 5031. Calculate y(-15). -39 Let b(c) = -2*c**3 + 71*c**2 + 46*c - 430. Calculate b(36). -70 Let d(n) = -2*n**2 + 106*n + 8. Determine d(53). 8 Let w(n) = 4*n**2 - 6*n - 37. Give w(-3). 17 Let h(w) = -146*w**3 + 4*w + 3. Give h(-1). 145 Let g(k) = 67*k + 22. Calculate g(0). 22 Let d(z) = -2918*z + 67133. What is d(23)? 19 Let k(r) = -18*r**2 - 47*r + 17. Give k(-3). -4 Let a(v) = -v**3 - 10*v**2 + 93*v - 87. What is a(-16)? -39 Let w(p) = -19*p**2 - 2*p - 1. Give w(2). -81 Let i(s) = s**3 + 35*s**2 - 72*s - 33. What is i(-37)? -107 Let y(m) = m**3 + 9*m**2 + 9*m - 14. Determine y(-7). 21 Let y(c) = -c**2 - 61*c + 442. Give y(-72). -350 Let m(x) = -660*x + 177545. Calculate m(269). 5 Let o(b) = 550*b - 40163. Calculate o(73). -13 Let k(r) = r**3 - 38*r**2 + 358*r. What is k(15)? 195 Let z(o) = -o**2 + 25*o + 792. Determine z(46). -174 Let s(l) = l**2 + 171*l - 1809. Calculate s(-181). 1 Let o(a) = 2*a**2 - 21*a + 136. Give o(11). 147 Let a(n) = 1655*n - 14888. Determine a(9). 7 Let n(u) = 4*u**2 + 262*u - 24104. Determine n(-117). -2 Let u(d) = -d**3 + 93*d**2 - 182*d - 30. Determine u(91). -30 Let a(t) = t**3 - 6*t**2 - 6*t - 17. Determine a(8). 63 Let l(i) = -i**3 - 13*i**2 + 38*i + 12. Give l(-15). -108 Let m(i) = i**3 - 13*i**2 - 51*i + 454. Calculate m(14). -64 Let a(r) = 2*r**2 + 438*r + 863. Give a(-2). -5 Let c(i) = -i**3 - 30*i**2 + 27*i - 65. Give c(-31). 59 Let f(k) = -3*k**2 + 60*k - 7. Give f(10). 293 Let d(g) = g**2 - 52*g + 653. What is d(30)? -7 Let y(w) = -27*w - 2651. Give y(-87). -302 Let j(m) = 57*m**2 - 7462*m - 648. Calculate j(131). 7 Let n(d) = -8*d**2 + 176*d - 8. What is n(22)? -8 Let d(p) = -54*p**2 - 66*p - 13. Give d(-2). -97 Let h(b) = 66*b + 418. Calculate h(-8). -110 Let n(u) = 33*u + 2657. Determine n(-80). 17 Let t(x) = 11*x**2 + 38*x + 37. Give t(-1). 10 Let g(y) = 68*y - 1004. What is g(16)? 84 Let y(h) = h**3 + 67*h**2 - 72*h - 370. Give y(-68). -98 Let r(b) = b**3 - 30*b**2 - 68*b + 150. Determine r(32). 22 Let c(g) = -2*g**2 + 118*g + 80. Determine c(62). -292 Let k(r) = -2*r**2 - 4826*r + 9656. Calculate k(2). -4 Let y(l) = -6*l**3 - 4*l**2 - 6*l + 11. What is y(2)? -65 Let v(x) = -2*x**3 + 57*x**2 - 216*x - 2. What is v(24)? -2 Let i(z) = z**3 - 10*z**2 - 31*z + 26. Calculate i(-3). 2 Let l(s) = -84*s - 1099. Give l(-13). -7 Let t(d) = -55*d**2 + 22*d + 23. Calculate t(-1). -54 Let f(d) = 6*d**2 - 58*d - 17. What is f(-7)? 683 Let k(f) = -127*f - 2146. Calculate k(-14). -368 Let w(b) = -37*b + 35. Calculate w(4). -113 Let l(p) = -6*p**3 - 397*p**2 - 65*p + 95. Determine l(-66). 29 Let a(r) = -66*r - 4285. Calculate a(-65). 5 Let u(x) = x**3 - 14*x**2 + 29*x + 7. Give u(11). -37 Let b(k) = k**2 + 48*k - 1132. Calculate b(-65). -27 Let u(z) = 40*z + 144. Calculate u(-7). -136 Let w(i) = -48*i - 446. Determine w(-10). 34 Let i(k) = -49*k + 67. What is i(0)? 67 Let o(u) = -126*u + 1374. Determine o(11). -12 Let z(l) = l**3 - 165*l**2 + 1836*l + 3. What is z(12)? 3 Let t(b) = b**3 + 6*b**2 + 110. Calculate t(-8). -18 Let k(a) = -a**3 + 40*a - 90. What is k(5)? -15 Let z(o) = -o**3 - 9*o**2 - 52*o - 351. What is z(-8)? 1 Let a(v) = -v**2 - 1081*v - 11745. Calculate a(-11). 25 Let z(y) = -y**2 - 150*y - 3992. What is z(-35)? 33 Let t(x) = -16*x**2 + 16*x + 17. Determine t(-1). -15 Let l(v) = -743*v + 3717. What is l(5)? 2 Let x(n) = 41*n - 86. What is x(2)? -4 Let w(i) = -14*i + 554. What is w(32)? 106 Let h(u) = -u**3 + 15*u**2 - 150*u + 2657. Give h(16). 1 Let b(d) = -64*d - 4326. Give b(-61). -422 Let t(j) = 477*j + 500. Determine t(-2). -454 Let u(l) = -83*l - 586. Determine u(-8). 78 Let g(f) = 17879*f + 53638. Calculate g(-3). 1 Let b(t) = -93*t**2 - 281*t - 8. Determine b(-3). -2 Let d(g) = -23*g**2 + 112*g + 15. Calculate d(5). 0 Let w(u) = -4*u**2 - 285*u + 217. Determine w(-72). 1 Let l(d) = -2*d**2 + 16*d - 33. What is l(2)? -9 Let s(c) = -23*c**2 + 4*c + 10. What is s(-2)? -90 Let p(l) = -l**3 + 44*l**2 - 230*l + 72. Calculate p(38). -4 Let n(h) = -10*h**3 + 204*h**2 - 82*h - 19. Determine n(20). -59 Let j(i) = -2*i**2 - 231*i + 596. What is j(-118)? 6 Let n(b) = b**3 - 12*b**2 - 8*b - 21. Determine n(12). -117 Let u(l) = -466*l - 5587. Give u(-12). 5 Let w(v) = -3*v**2 - 51*v - 212. Give w(-13). -56 Let n(t) = t**2 + 945*t - 59239. Determine n(59). -3 Let y(b) = 5*b**3 - b - 3. Determine y(3). 129 Let h(z) = 9*z + 629. What is h(-72)? -19 Let a(r) = r**3 - 2*r**2 - 19*r + 56. What is a(3)? 8 Let h(p) = -162*p + 1453. What is h(9)? -5 Let x(o) = 174*o**2 - 199*o - 1. Give x(1). -26 Let h(y) = 19*y**3 + 10*y**2 + 8*y - 1. Calculate h(-2). -129 Let u(h) = h**2 - 231*h + 1777. Determine u(8). -7 Let n(l) = 182*l - 14930. What is n(82)? -6 Let f(a) = -87*a - 8948. What is f(-104)? 100 Let a(b) = -40*b - 1194. Determine a(-30). 6 Let c(m) = -37*m**3 + 2*m**2 + 79*m - 219. What is c(3)? -963 Let z(p) = -2*p**2 + 215*p + 5703. What is z(-22)? 5 Let w(s) = -6*s + 83. Calculate w(26). -73 Let p(v) = -8*v - 141. What is p(-45)? 219 Let g(m) = 165*m**2 - 59*m + 61. Give g(1). 167 Let v(s) = -s**3 - 23*s**2 + 20*s + 34. What is v(-24)? 130 Let c(z) = -2*z**2 + 124*z + 247. Calculate c(-2). -9 Let r(f) = -f**2 + 93*f + 345. Give r(96). 57 Let v(t) = -37*t - 178. Give v(-6). 44 Let l(y) = -y**3 - 33*y**2 + 38*y - 2. Give l(-34). -138 Let b(y) = -895*y + 2530. Give b(3). -155 Let s(y) = 258*y - 5932. Give s(23). 2 Let s(q) = 3*q**2 - 201*q + 1282. Calculate s(61). 184 Let p(j) = -46*j + 512. Calculate p(12). -40 Let m(d) = d**3 - 14*d**2 + 15*d + 96. Calculate m(4). -4 Let t(k) = k**2 - 11*k + 4. Give t(11). 4 Let n(h) = 28*h + 223. Determine n(-8). -1 Let t(i) = 26*i - 13. Calculate t(2). 39 Let h(n) = -n**3 + 22*n**2 - 15*n + 18. Give h(21). 144 Let r(o) = 156*o + 33831. Determine r(-217). -21 Let p(y) = -106*y**2 + 75*y + 42. Give p(1). 11 Let q(b) = -2*b**2 + 172*b + 167. What is q(87)? -7 Let u(w) = 2*w**3 - 46*w**2 + 38*w + 127. Determine u(22). -5 Let g(h) = -16*h**2 + 2*h - 16. Calculate g(3). -154 Let q(x) = -6*x**3 - 60*x**2 - 59*x - 53. Determine q(-9). -8 Let l(h) = 220*h + 40. What is l(-1)? -180 Let g(t) = t**3 + 46*t**2 + 77. What is g(-46)? 77 Let n(z) = -375*z - 6002. Give n(-16). -2 Let i(v) = -v**3 - 10*v**2 - 15*v - 15. Determine i(-6). -69 Let h(n) = -n**3 - 33*n**2 + 784*n + 26227. Give h(-30). 7 Let q(k) = 28*k - 5. Give q(8). 219 Let z(d) = 141*d - 6624. Calculate z(47). 3 Let x(k) = 325*k**2 - 951*k + 7. Determine x(3). 79 Let z(m) = -22*m + 233. Calculate z(-26). 805 Let a(w) = w**3 - 4*w**2 + 11*w - 19. Determine a(4). 25 Let p(a) = 5*a - 120. Determine p(23). -5 Let d(v) = 2*v**3 - 226*v**2 + 2775*v - 4
{ "pile_set_name": "DM Mathematics" }
cking 2 n. 1/6 Calculate prob of picking 1 u and 2 n when three letters picked without replacement from {z: 1, h: 8, i: 3, u: 2, n: 5}. 20/969 Calculate prob of picking 1 y and 1 e when two letters picked without replacement from heesdsysddss. 1/33 Calculate prob of picking 1 w and 1 h when two letters picked without replacement from hhdwtdd. 2/21 What is prob of picking 2 j when two letters picked without replacement from jhhghhghhjgh? 1/66 Two letters picked without replacement from {e: 3, s: 1, i: 4}. Give prob of picking 1 s and 1 i. 1/7 Three letters picked without replacement from kkkkkvkk. What is prob of picking 1 v and 2 k? 3/8 Three letters picked without replacement from rfdqw. What is prob of picking 1 w, 1 q, and 1 r? 1/10 Two letters picked without replacement from gywlglwglgleye. What is prob of picking 1 w and 1 e? 4/91 Four letters picked without replacement from {w: 7, v: 6, l: 1, y: 1, s: 2}. What is prob of picking 2 s, 1 w, and 1 l? 1/340 Two letters picked without replacement from aonou. Give prob of picking 2 o. 1/10 Two letters picked without replacement from ffpfffprn. What is prob of picking 1 p and 1 r? 1/18 What is prob of picking 3 t when three letters picked without replacement from tttff? 1/10 What is prob of picking 4 n when four letters picked without replacement from ennennnnn? 5/18 Three letters picked without replacement from nnullnxnumnumnxnu. What is prob of picking 1 u and 2 x? 1/170 Calculate prob of picking 2 z when two letters picked without replacement from qzzzqzzq. 5/14 Three letters picked without replacement from qqffqfqqfqwfffffff. Give prob of picking 1 f and 2 q. 55/272 Calculate prob of picking 3 n when three letters picked without replacement from znnyynno. 1/14 Three letters picked without replacement from cczloag. What is prob of picking 1 z, 1 l, and 1 o? 1/35 Two letters picked without replacement from qqfqqffqqfqqqfff. Give prob of picking 1 q and 1 f. 21/40 Four letters picked without replacement from jigcgajjajcigjci. Give prob of picking 2 c, 1 g, and 1 a. 9/910 Four letters picked without replacement from vqxjxvzxrrqqjvvjq. What is prob of picking 3 q and 1 v? 4/595 What is prob of picking 1 i and 1 y when two letters picked without replacement from {i: 1, e: 6, y: 2, t: 3, z: 4, w: 2}? 2/153 Calculate prob of picking 1 h, 1 u, and 2 f when four letters picked without replacement from fffehrerreqhqurq. 3/910 Four letters picked without replacement from szszsssszssssz. Give prob of picking 2 z and 2 s. 270/1001 Two letters picked without replacement from {d: 5, l: 2}. Give prob of picking 1 l and 1 d. 10/21 Calculate prob of picking 2 e when two letters picked without replacement from {t: 4, e: 3, n: 1}. 3/28 What is prob of picking 1 k, 1 d, and 1 p when three letters picked without replacement from ppvdvzvkpkpph? 5/143 Two letters picked without replacement from gvvxxjxglg. Give prob of picking 1 j and 1 l. 1/45 What is prob of picking 1 k and 2 v when three letters picked without replacement from kvkvkkkkk? 1/12 Four letters picked without replacement from {a: 7, k: 9}. What is prob of picking 3 a and 1 k? 9/52 Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {x: 2, q: 1, d: 1, z: 3, n: 3, t: 1}. 9/55 What is prob of picking 1 y, 1 w, and 2 l when four letters picked without replacement from {y: 2, l: 1, w: 1}? 0 Four letters picked without replacement from ppbpnnpbnnnnpn. Give prob of picking 2 n, 1 p, and 1 b. 30/143 Four letters picked without replacement from {y: 4, g: 6, v: 4}. Give prob of picking 4 v. 1/1001 Two letters picked without replacement from {b: 1, m: 7, g: 8, a: 1}. What is prob of picking 1 b and 1 a? 1/136 What is prob of picking 2 k and 1 z when three letters picked without replacement from kkzlzlzllz? 1/30 Four letters picked without replacement from {l: 7, z: 9, s: 2}. Give prob of picking 1 z, 1 l, and 2 s. 7/340 Calculate prob of picking 2 p and 1 x when three letters picked without replacement from ddpxpdxdpd. 1/20 Two letters picked without replacement from {x: 1, s: 1, n: 1, e: 1, z: 1}. What is prob of picking 1 x and 1 z? 1/10 Three letters picked without replacement from tttpptntptptntptp. What is prob of picking 1 t and 2 n? 9/680 Calculate prob of picking 2 d when two letters picked without replacement from dldlddd. 10/21 What is prob of picking 1 z and 2 y when three letters picked without replacement from yqzcyyyyq? 5/42 Two letters picked without replacement from oomuoemomoee. Give prob of picking 1 m and 1 o. 5/22 Two letters picked without replacement from ystusyrss. What is prob of picking 1 s and 1 y? 2/9 Calculate prob of picking 1 y and 1 i when two letters picked without replacement from {t: 2, y: 2, i: 2, p: 1, h: 1}. 1/7 Four letters picked without replacement from {d: 2, w: 17}. What is prob of picking 2 w and 2 d? 2/57 Calculate prob of picking 1 b and 1 k when two letters picked without replacement from {k: 4, n: 3, b: 1}. 1/7 Four letters picked without replacement from ememm. What is prob of picking 2 m and 2 e? 3/5 Calculate prob of picking 1 x and 2 j when three letters picked without replacement from {s: 1, b: 2, g: 2, u: 2, x: 3, j: 4}. 9/182 What is prob of picking 3 u when three letters picked without replacement from vvvvvvuvvuuvuv? 1/91 Two letters picked without replacement from vnnnnpnvpnvvnnvnvv. What is prob of picking 2 v? 7/51 Four letters picked without replacement from ovvvvovv. Give prob of picking 4 v. 3/14 Two letters picked without replacement from {p: 2, r: 4}. Give prob of picking 1 r and 1 p. 8/15 Calculate prob of picking 2 q, 1 h, and 1 s when four letters picked without replacement from {e: 1, q: 3, s: 2, h: 3, t: 1}. 3/35 Three letters picked without replacement from uubuusbpbpuubwhws. Give prob of picking 2 s and 1 h. 1/680 Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {j: 1, q: 6, o: 1, c: 2, y: 7}. 7/136 Two letters picked without replacement from uvvkkkukvuvkkkeekkek. What is prob of picking 2 v? 3/95 What is prob of picking 1 p and 2 t when three letters picked without replacement from {v: 1, a: 1, p: 2, z: 1, t: 2, o: 1}? 1/28 Calculate prob of picking 2 f and 2 k when four letters picked without replacement from kkssfssksllsssfk. 3/910 What is prob of picking 2 z when two letters picked without replacement from szzzzsdszzdzzdssdd? 28/153 Four letters picked without replacement from sssspp. What is prob of picking 3 s and 1 p? 8/15 Calculate prob of picking 2 z and 1 i when three letters picked without replacement from hwiiitzziww. 4/165 What is prob of picking 2 o when two letters picked without replacement from ohfhohhtfofohho? 2/21 Four letters picked without replacement from zottvtzazzotzttvzt. Give prob of picking 3 t and 1 v. 7/306 What is prob of picking 3 b when three letters picked without replacement from {b: 11, d: 3}? 165/364 What is prob of picking 1 b and 1 s when two letters picked without replacement from {r: 3, a: 6, n: 6, s: 1, b: 1}? 1/136 Two letters picked without replacement from {w: 1, v: 11}. What is prob of picking 1 w and 1 v? 1/6 Two letters picked without replacement from {m: 3, w: 2}. What is prob of picking 2 m? 3/10 Three letters picked without replacement from nphisnnnnnppippinhn. Give prob of picking 1 h and 2 i. 2/323 Calculate prob of picking 1 b and 1 d when two letters picked without replacement from hvhdvvlelbvhhvb. 2/105 Two letters picked without replacement from {h: 2, j: 2, r: 6, v: 3, y: 3}. What is prob of picking 1 h and 1 j? 1/30 Calculate prob of picking 1 d and 1 r when two letters picked without replacement from drdkddddd. 7/36 What is prob of picking 2 o when two letters picked without replacement from {w: 5, p: 4, e: 1, o: 1}? 0 Calculate prob of picking 1 f and 1 y when two letters picked without replacement from {f: 3, v: 1, w: 1, y: 1, s: 1}. 1/7 Four letters picked without replacement from nwwwnwwwnww. Give prob of picking 1 w and 3 n. 4/165 Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {d: 7, f: 2, w: 3}. 3/220 Two letters picked without replacement from {h: 1, i: 5, w: 1, v: 1, j: 1, t: 4}. What is prob of picking 1 t a
{ "pile_set_name": "DM Mathematics" }
, -2*v + 5*v + n - 10 = 0. Let l be a(v). Are l and -1/10 non-equal? True Let r = 23/3 + -1285/168. Suppose -3*b = 2*b - 4*i + 16, 4 = -b + i. Is b >= r? False Let x = -0.07 + 0.039. Let o = x - -8.931. Let c = 9 - o. Is -1 at most c? True Let j be (-6)/14 + ((-2)/(-4) - (-946)/231). Do j and -4 have the same value? False Let b = -22.55 - -22.35. Which is bigger: b or -1080? b Let q = 6673169/27 + -247111. Is 44 at most q? False Suppose -4*m = 4*l, -8 = -3*m + 4*l + 6. Suppose 7*v - 5*v = r + 252, m*r = v - 510. Is -255 at most r? False Suppose 9*b + 96 = 7*b. Let z be (-45)/b*1/(-5). Let d(f) = -f**2 + 7*f - 5. Let h be d(6). Is h less than or equal to z? False Let d = -362 - -383. Let c be (-52)/(-130) - d/15. Which is greater: 2/179 or c? 2/179 Let l = -152.916 + 153. Let x = l - -0.116. Is 11.6 smaller than x? False Let i = -3067462/8835 - 3752/465. Are i and -356 equal? False Suppose 4*u - 5*u + 17 = 5*f, 11 = u + 2*f. Let h be 7/u + 26/(-14). Let x = h - -5/7. Which is smaller: x or 0? x Let l = -82.991 - -0.891. Let x = -5.1 - l. Let j = 86 - x. Which is smaller: -1/2 or j? -1/2 Suppose -q - 2*q - 17 = -2*b, 4*q + 4*b = -16. Let w(v) = 6*v**2 + 17*v + 2. Let r be w(q). Let d = 33 - r. Is -33 at least as big as d? True Suppose 0 = -15*y + 659 - 119. Suppose -126 = -9*a - y. Let b be a*(234/12)/(-3). Are b and -66 unequal? True Suppose -5*d - 103 = -3*b, b - 2*b + 36 = -2*d. Suppose -c + 1 = 5*z, z - 3*z = -2*c + b. Which is greater: -1.2 or c? c Let i be (-2)/((-24)/(-6)) - 24050/60. Is i at least -2/3? False Suppose 4*a - 25 = -t, 3*a + t = 2*t + 24. Suppose 5*p + 129 = -4*h, p - a - 54 = 2*h. Which is smaller: h or -32? -32 Let y = -630 - -703. Suppose x - 4 = 0, 15*x + y = 5*g + 17*x. Does 14 = g? False Suppose -18 = -g + 50. Let r = 0.89318 + -2.89318. Is g not equal to r? True Let w = -77439 - -77437. Let h be (-2)/(-2*(-2)/8). Which is bigger: w or h? w Let c = 3.6433 + -0.3433. Is 2/33 smaller than c? True Suppose 0*j + 3*o - 11 = 2*j, 2*j - 4*o + 14 = 0. Let a = -3 - j. Let l be (15*(-8)/160)/(6/128*4). Is l less than a? True Suppose 4*f + 332 = -3*v, -2*f - 109 = 2*v + 109. Let r be 0 + v/40 + (-9)/(-3). Is r < -306? False Let u be ((-619)/6)/((-197)/(-1182)). Is -618 bigger than u? True Let y = 6705 - 6671. Is 459/14 smaller than y? True Let s(y) = -y**2 + y + 757. Let h be s(-27). Is h greater than 58/65? True Let h = -1 - -1. Let d be -11 + (-4 - (259056/1236)/(-14)). Which is bigger: d or h? h Suppose 23*w = 2*z + 21*w - 474, -w = 3*z - 739. Which is greater: 2204/9 or z? 2204/9 Suppose -3*f = -6*f - h + 27916, -4*h = 2*f - 18594. Let a = -846917/91 + f. Let z = 1038/5551 - a. Is z equal to 1? False Let q = -8.156 + 8. Let n = q + 0.016. Let w = 0.34 + n. Which is smaller: 5 or w? w Let k = 948.5 - 948.5532. Is 1/3 < k? False Let u = 35 + -31. Suppose 5*q = -2*r - 50, -q - u*q - r = 50. Let w be (-2)/(-8) - (-37)/(-4). Which is bigger: w or q? w Let y(z) = -4*z**2 + 3*z - 8. Let j be y(2). Let m be -1 + (-24)/j + 12/(-9). Which is greater: 4/89 or m? 4/89 Let z(m) = -m**3 + 7*m**2 + m + 4. Let g be z(8). Suppose 0 = 53*y - 40*y - 624. Let v = g + y. Is -1/6 <= v? False Let s be (1 - -1 - (-346 - -318))*878/(-5). Which is smaller: -5267 or s? s Let o be ((-22)/(-110))/(6/5) + (-144998)/870996. Is o >= 0? True Let y(l) = 4*l**2 - 245*l + 104. Let r be y(59). Which is greater: -418 or r? -418 Suppose -148*i + 151*i + 3 = 0. Let f = 7862 + -1619569/206. Does f = i? False Let o(z) = 2*z**3 + 2*z**2 - z. Let b be o(1). Suppose -b*d = 2*d + 10. Suppose 4*k = 3*n - 6, -2*k - 30*n + 4 = -35*n. Is k less than or equal to d? True Let w(h) = 25*h - 17. Let z be w(5). Suppose 4*r = -3*f + z, -172 = -4*f - 3*r - 35. Suppose 11*c = 7*c + f. Which is smaller: 39/5 or c? 39/5 Let q(r) = -9*r + 76. Let w be q(8). Let y be (-29)/135 + w/20. Is 1 greater than y? True Let l = 347 + -323. Suppose z + 4*d + l = 0, -9*z - 4*d - 120 = -5*z. Which is greater: z or 9? 9 Let k be (-9)/(-30) - (-4)/(-8). Let b be ((-4)/(-3))/(-2 - 16/(-12)). Let a be 34/6 + -3 + b. Are a and k non-equal? True Suppose -4*u - 77 = -15*u. Suppose -u*i + 3*i = -4. Does i = 2/69? False Suppose 3*b + 3*t = 9, -5*b - 11 = t - 6. Let o be 2 - ((-16)/(-2080))/(b/(-504)). Is 1 > o? True Suppose -913*p = -893*p - 26440. Which is smaller: 3968/3 or p? p Let y = 2188 + -1384. Let b = y - 803.8. Are b and 116 non-equal? True Let d = 295 + -293. Is 1.1 less than or equal to d? True Let t = 1957 + -1594. Which is bigger: 357 or t? t Let s be 11379/(-1)*(-11415)/45. Let n = -83718356/29 + s. Let f = 367 + n. Which is greater: 1 or f? 1 Let r(y) = -328*y + 1286. Let p be r(4). Let u = 5.01 + -0.01. Is p < u? True Let p(r) = -7*r**2 + 3*r - 1. Let a be p(-1). Let q be a - (0 - (-1 + 2)*0). Which is bigger: q or -9? -9 Suppose o - 3*o = 0. Let l be (-124770)/(-14676) - (-1 + 2/4) - 9. Are o and l equal? False Let j(i) = -135*i + 810. Let f be j(6). Which is smaller: f or -5/5883? -5/5883 Suppose 0*b = 14*b + 8400. Let n be (-15)/19*96/b. Is n at most as big as 1? True Let y = 1511 + -1528. Which is bigger: y or -103/6? y Let n = 5985.4 - 5986. Is n equal to 258? False Suppose 69*m + 2205 = 314*m. Which is bigger: -43 or m? m Suppose 8*o - 360 = 24. Suppose -5*n - f = -o, 4*n - 3*f = 3*n. Which is smaller: n or 14? n Let b(r) = -253*r - 968. Let s be b(0). Which is greater: s or -4837/5? -4837/5 Let g be 8/1 - (0 - (-5645528)/705684). Which is greater: 0 or g? 0 Let d = -172002/17 + 10122. Suppose -22 = v + 5*l, -3*v + 0*l = l - 4. Which is greater: d or v? d Let f be 78/(-15)*70/(-56). Which is greater: f or -31? f Let d = -11347 + 11346.1. Does -1496 = d? False Let k = -149 - -152. Suppose k*t + 38 = -16. Which is bigger: t or -20? t Suppose -4 = 4*s, -26 = -2*d - s - 7. Suppose d*w - 6*w - 11 = 3*r, -4*w + 4*r + 16 = 0. Do 1/1026 and w have the same value? False Let r = 51.76 + 1.24. Let v = r - 52.79. Let y = 1.21 - v. Is y != -0.14? True Let g(w) = w**3 - 5*w**2 - 3*w + 17. Let j be g(5). Suppose -j*b = -n - 212, 4*b + b + 5*n = 515. Suppose -8*o + 23 + b = 0. Which is smaller: 15 or o? 15 Suppose 13*b - 176 = 9*b. Let r(s) be the second derivative of -s**3/6 + 43*s**2/2 - 11*s. Let u be r(0). Is u smaller than b? True Let i = -87 + 43. Let u = -27 - i. Suppose -3*q = -4*q - 4*c + 11, 5*c - u = 2*q. Which is greater: -18/19 or q? -18/19 Let c(a) be the second derivative of a**3/2 + 7*a**2/2 + 2*a - 8. Let m be c(-2). Let r be (-2)/4 + ((-2154)/(-1420))/3. Is r at least as big as m? False Suppose s - 5*g - 25 = 0, 0*g - 13 = -s + 2*g. Let p be 34/(-22) + (s - 4). Let k = 17 - 18. Is p bigger than k? True Suppose -3*t = 4*g + 6, 3*t - 2*g - 16 = -2*t. Let q(j) = 55*j**t + 0*j + 4*j + 9*j**2 - 5*j. Let m be q(1). Is m smaller than 61? False Let v = 3/262 + -593/6026. Let m = 23 + -19. Suppose -2*b + 2 = m. Which is smaller: b or v? b Suppose 0 = 5*x + 11 - 11. Let d be (x - 556/(-496))*-4 - -5. Does 0 = d? False Let v = 3182 - 3175. Let w(u) = u**3 - 4*u**2 + 5*u - 3. Let q be w(3). Suppose -q*d - 7 = -v. Which is greater: d or -14/13? d Let t = -0.225 - -92.225. Let l = 60 - t. Do 0.1 and l have the same value? False Let o(h) = -h**2 + h + 3. Let w be o(-1). Let f(g) = 48*g**2. Let x be f(w). Suppose -x = 5*b - 11*b. Is b <= 7? False Let o be (3 - (-148164)/(-47103)) + (9 - 248/28). Which is greater: o or -1? o Let z = 5827 - 5737. Is 47 at least as big as z? False Let z = -1518 - -1866. Suppose 6*h - 5*h - 350 = 0. Is h < z? False Let p = -16662 - -16666. Which is smaller: p or -1306? -1306 Suppose -12 - 76 = -2*u. Suppose -19 = 9*b + u. Let r = 6 + b. Do 2/51 and r have different values? True Let j be (5 + 25/(-5))/6. Let q be ((-7)/3 - -2)/((-176)/(-96)). Which is bigger: q or j? j Suppose 0 = -j - 1, -5*b - 12 + 1 = j. Let c be b + (18/(-2) - -4). Let i = -475/62 - -36/31. Which is smaller: i or c? c Let s = -2119 - -1064. Let a = -1054.944 - s. Let m = 0.9 + 0.1. Is a equal to m? False Let b = 217 - -46. Suppose -68*q + 34*q = -40*q + 1584. Which is greater: b or q? q Let b = -1825/51 - -597/17. Are 4/2289 and b non-equal? True Let b = -451922/21 + 21524. Let v be ((-39)/6 - -4)*-2. Is v at most b? False Let y(n) = -n**2 + n + 28. Let c be y(0). Let m(u) be the second derivativ
{ "pile_set_name": "DM Mathematics" }
+ 7*t**2 - 31*t + 45. Let m(y) = l*i(y) + 6*j(y). Differentiate m(d) wrt d. 3*d**2 + 38 What is the second derivative of -34564*s**3 + 29*s**5 + 1250*s - 518*s**5 - 383*s + 34564*s**3 wrt s? -9780*s**3 Suppose -2*f - 11 = 3*m, -25 = -2*f - 3*f. Let z be (-48)/(-42)*m/(-2). Find the third derivative of -z*d**2 + 1 - 49*d**3 + 53*d**3 - 1 wrt d. 24 Differentiate -874*y**3 - 464*y**3 - 19 + 469 wrt y. -4014*y**2 What is the third derivative of -36*b**2 - 44*b**4 - 21*b**2 + 1434*b**3 + 45*b**4 + 1234*b**3 - 17*b**2 wrt b? 24*b + 16008 Let s(a) = -9*a**4 + 7*a - 9. Suppose 40*y = 44*y - 28. Let g(b) = 4 + 5*b - 3*b**4 - 3*b - y. Let p(w) = -21*g(w) + 6*s(w). Differentiate p(l) wrt l. 36*l**3 Let d(n) = 8 + 2 - 12 + 2*n**2 - 5*n + n**3. Let r be d(-3). What is the third derivative of 4*w**3 + 5*w**2 - r*w**3 - 36*w**3 wrt w? -216 Suppose -5*y + 4 + 6 = 0. Suppose -u + 6*u = 5*f - 20, -2*u = 2*f + 4. What is the derivative of y - f - 5*s - 2 wrt s? -5 Let x(f) = 5*f**4 - 92*f**2 - 3*f + 1333. Let p(c) = -11*c**4 + 181*c**2 + 5*c - 2666. Let n(l) = -2*p(l) - 5*x(l). Differentiate n(z) with respect to z. -12*z**3 + 196*z + 5 Suppose -2*c = -5*h - 0*h + 199, -3*c + 9 = 0. Let f be 68/16 + (-3)/12. What is the third derivative of f*m**2 + m**2 - h*m**3 + 3*m**2 + 0*m**2 wrt m? -246 Let b = 227 + -225. What is the derivative of 48 - 252 + b*n - 116*n**4 - 92*n**4 wrt n? -832*n**3 + 2 Suppose 0 = 6*l - 12 + 6. Let j be 3 - (5/l + -4)/1. Differentiate -j*m**2 - 24 - 2 - 11 - 3 wrt m. -4*m Suppose y + 3*a = 23, 0 = -2*y + 2*a + 29 + 9. Differentiate 212*h + 7*h - 295 - y*h + 45 with respect to h. 199 Find the third derivative of -s**2 - 893*s + 6506 - s**5 + 726*s**4 - 6506 - 4*s**3 wrt s. -60*s**2 + 17424*s - 24 Let s be 4/28 + (-338)/14. Let j be -3*(-4)/s*12/(-2). What is the first derivative of -35 + 30*m**4 - 74*m**3 + 74*m**j wrt m? 120*m**3 What is the third derivative of 36*z**2 - 2*z**3 + 0*z**3 - 181*z**2 + 4 - 2 - z**3 - 11*z**6 wrt z? -1320*z**3 - 18 Find the third derivative of -2672*r**2 - 5512*r**3 + 27 + 34 - 61 wrt r. -33072 Let n(f) be the first derivative of -824*f**3/3 + f**2/2 - 231*f - 541. Find the second derivative of n(r) wrt r. -1648 Let l(b) be the second derivative of 30 + 2*b + 31/2*b**2 - 5/6*b**3. What is the derivative of l(g) wrt g? -5 Suppose -3*o - 6 = -4*q + 8, -q + 6 = -2*o. Find the third derivative of -50*g**6 + 12*g**2 - g**q - 18*g**2 wrt g. -6000*g**3 Find the third derivative of -87*x - 2039*x**3 + 3*x**2 - 3395*x**3 + 3945*x**3 wrt x. -8934 Let y(j) = -201*j + 18877. Let a(x) = 50*x - 4716. Let g(v) = -22*a(v) - 6*y(v). Differentiate g(d) with respect to d. 106 Let l = 72 + -45. Suppose -19 = 2*h - l. Find the third derivative of 27*k**4 - 10*k**2 - 52*k**h + 29*k**4 wrt k. 96*k Let p(c) be the first derivative of -469*c**6 + 287*c**2/2 + 2*c + 4249. Find the second derivative of p(f) wrt f. -56280*f**3 Let s(d) = -4*d**4 - 1768*d**3 - 5*d + 1909. Let f(h) = -6*h**4 - 2651*h**3 - 7*h + 2863. Let n(l) = -5*f(l) + 7*s(l). What is the derivative of n(m) wrt m? 8*m**3 + 2637*m**2 Let j(d) = -10042*d**2 - 3460*d - 7. Let v(k) = 6695*k**2 + 2288*k + 4. Let x(r) = 5*j(r) + 8*v(r). What is the second derivative of x(m) wrt m? 6700 Find the third derivative of -279*j**4 - j**5 + 6675207*j**6 - 381*j**4 - 1889*j**2 - 6675203*j**6 wrt j. 480*j**3 - 60*j**2 - 15840*j Let d be ((-2)/1)/(7/((-42)/6)). Find the second derivative of 1 - 717*b**d + 701*b**2 - 2*b - 6 - 3 wrt b. -32 Let s(a) = -10*a**2 + 13*a - 2. Let u(p) be the second derivative of -p**4/12 - 4*p + 3. Let y(x) = -s(x) + 3*u(x). Find the second derivative of y(d) wrt d. 14 Suppose 49 + 121 = 2*g. Differentiate -28 + 0 + v - 29 - 40 - g*v**2 wrt v. -170*v + 1 Let s be (0 + 2)/(-1*(-2 - -1)). Suppose 4*n - 16 = s*y, -4*n - 4 = -5*y - 14. Differentiate -19 - 42*t**2 - 2 + 39*t**y + 3 with respect to t. -6*t Let s(h) = -h - 1. Let w be s(-5). Suppose 3*p = -w*p + 35. Find the second derivative of 25*t**5 + p*t**5 + 2*t - 8*t**5 wrt t. 440*t**3 Let y be ((-9)/(-30))/((-6)/5)*-16. Find the third derivative of -37*a**3 + 251*a**4 - 4*a**2 + 10 - 497*a**y + 247*a**4 wrt a. 24*a - 222 Let z(h) be the third derivative of 4882*h**7/105 + 255*h**5/2 - 2*h**2 - h - 2297. What is the third derivative of z(b) wrt b? 234336*b Suppose -2*v - 2*r - 3*r + 49 = 0, -3*v + 31 = -r. What is the first derivative of v - 33 + 19 + 7 + 97*t**3 wrt t? 291*t**2 Let t(a) be the third derivative of -557*a**7/210 - a**4/12 - 75*a**3/2 - 51*a**2 + 11*a. What is the second derivative of t(o) wrt o? -6684*o**2 Let g(k) be the second derivative of 2*k**3 + 0*k**4 + 0*k**2 - 1/42*k**7 + 0*k**5 - 72 - k + 7/2*k**6. Find the second derivative of g(v) wrt v. -20*v**3 + 1260*v**2 Let p(k) = -6*k - 4. Let x be p(-1). What is the second derivative of 150*t**x - 72*t**2 + 4*t - 78*t**2 - 4 + 19*t**3 wrt t? 114*t Let w(c) be the third derivative of 1663*c**9/126 + 8561*c**5/60 + 6100*c**2. What is the third derivative of w(i) wrt i? 798240*i**3 Let g = -87 + 89. Find the second derivative of -40*m - 2*m**5 + 1402*m**2 + m**3 - 3*m**5 - 1402*m**g wrt m. -100*m**3 + 6*m Let i(b) = 7*b**2 - b. Let d be i(2). What is the first derivative of -10*j**4 + 11 - 20 + 2*j - d*j**4 + 15 wrt j? -144*j**3 + 2 Differentiate 436 + 39139*g - 19460*g - 19024*g - 2239 wrt g. 655 Let y(g) be the third derivative of 14*g**6/3 - 5*g**4/24 + 35*g**3/3 + 1236*g**2. Find the second derivative of y(u) wrt u. 3360*u Suppose 2935*g - 92 = 2912*g. Let s(l) be the third derivative of -3/8*l**g - 8*l**2 + 0*l**3 + 0*l + 0 - 3/20*l**5. Find the second derivative of s(v) wrt v. -18 Let a(t) be the second derivative of t**7/6 + 8*t**5/5 + t**4/12 - 3*t**3/2 + 4*t - 7. Find the third derivative of a(l) wrt l. 420*l**2 + 192 What is the second derivative of -2 + 3734*k + 910*k**2 + 0 - 4297*k**2 - 6845*k**2 wrt k? -20464 Suppose 0 = 5*g - 0*y + 5*y - 350, 0 = 3*g - 2*y - 205. Let j = g - 58. Differentiate -4 - j + 27*n - 26 wrt n. 27 Let x(i) = 2*i**6 + 3*i**4 + 1. Let w(z) = -279*z**4 + 4152*z**2 + 2. Let v(n) = -w(n) + 2*x(n). What is the third derivative of v(k) wrt k? 480*k**3 + 6840*k Let t(u) be the second derivative of 73*u**6/360 + 7*u**5/15 - u**4/6 - 55*u**3/3 + 6*u + 7. Let r(j) be the third derivative of t(j). Differentiate r(y) wrt y. 146 Let i be (-6)/(-12) - (-122)/4. What is the derivative of -156 + 28 - 30*s + i + 6*s wrt s? -24 Let v(z) be the first derivative of z**7/7 + 31*z**6/6 - 7651*z**3/3 + 7612. Find the third derivative of v(n) wrt n. 120*n**3 + 1860*n**2 Let o(i) be the second derivative of 3673*i**5/20 - 2270*i**3/3 + 16*i - 120. Find the second derivative of o(b) wrt b. 22038*b Let n(l) be the first derivative of -649*l**4/2 - l**2 - 459*l + 967. Differentiate n(q) wrt q. -3894*q**2 - 2 Let v(y) be the second derivative of 175*y**5 - 300*y**2 - 2518*y. Differentiate v(k) with respect to k. 10500*k**2 Let t = -47 - -77. Let s = 39 - t. Find the second derivative of -11*z - s*z**3 - 6*z + 9*z**3 - 13*z**5 wrt z. -260*z**3 Let w(j) be the third derivative of -j**9/504 + 23*j**8/7 + 1087*j**5/60 - 3850*j**2. Find the third derivative of w(u) wrt u. -120*u**3 + 66240*u**2 Let v(g) = -g**2 + g + 1. Let j be v(3). Let y be 3 + (-4 + 4)/j. Find the second derivative of -11*x + 37 - 37 + 15*x**y wrt x. 90*x Let q(m) be the third derivative of m**8/336 - 9829*m**6/120 + m**5/30 + m**4/8 - 403*m**3/6 - 14027*m**2. Find the third derivative of q(s) wrt s. 60*s**2 - 58974 Let q(z) = z**3 + z**2 + z. Let u(k) = -223*k**3 + 5*k**2 + 12. Suppose 4*n - 29 = -25*n. Let v(x) = n*u(x) - 5*q(x). Find the second derivative of v(b) wrt b. -1368*b What is the first derivative of -14349274*s**4 - 8119 + 74*s**3 + 2557 + 14349273*s**4 wrt s? -4*s**3 + 222*s**2 Suppose 33 = 3*m + 3*h + 12, -3*m = -3*h - 3. Suppose -m*r + 2 = -6. Find the third derivative of 2*s**4 + r + 12*s**2 - 4 + 2 wrt s. 48*s Let y(t) be the first derivative of -2*t**5/5 + 7*t**4/2 + 16*t**3/3 + 41*t + 492. Find the third derivative of y(p) wrt p. -48*p + 84 Find the third derivative of -215*t**5 - 1002*t**5 + 2900*t**2 - t**6 - 3908*t**2 + 2*t wrt t. -120*t**3 - 73020*t**2 Suppose 5499 = 10*k - 521. What is the first derivative of 24 + 604*a + 41*a**3 - 111 - k*a
{ "pile_set_name": "DM Mathematics" }
w + 2)**3/4 Let r(v) = -2*v**3 - v**2 - 1. Let b(u) = 629*u**3 - 48*u**2 + u + 2. Let t(k) = b(k) + 2*r(k). Factor t(h). h*(25*h - 1)**2 Factor -45*d + 6*d**2 + 1 + 6*d**2 + 61*d + 3. 4*(d + 1)*(3*d + 1) Let p(w) be the second derivative of 2197*w**5/25 + 338*w**4 + 520*w**3 + 400*w**2 - 172*w. Factor p(u). 4*(13*u + 10)**3/5 Let p(z) = 4*z**2 + 4 - 3*z - 2*z**3 + 9*z**2 + z**3 - 9*z. Let h be p(12). Solve 4*u**4 - 4*u**2 + 2*u**h - 6*u**4 - u**4 + 4*u**3 = 0. 0, 2 Let m(z) be the second derivative of 11*z + 0*z**3 + 1/15*z**5 + 0 + 0*z**2 - 2/45*z**6 - 2/63*z**7 + 1/9*z**4. Solve m(h) = 0 for h. -1, 0, 1 Let l(p) be the second derivative of 8*p - 1/110*p**5 + 0 - 1/11*p**3 - 1/11*p**2 - 1/22*p**4. Factor l(m). -2*(m + 1)**3/11 Let k = 3 + -2. Let o(l) = -l**3 - l - 1. Let h = -95 - -77. Let f(i) = -15*i**3 - 15*i**2 + 3*i - 27. Let a(m) = h*o(m) + k*f(m). Solve a(r) = 0. 1, 3 Let s be (-4)/(-4*(-5)/320). Let c be (s/(-160))/(18/10). Factor c*o**2 + 2 - 4/3*o. 2*(o - 3)**2/9 Let b(g) be the second derivative of -15*g + 0 - 1/5*g**5 + 2/15*g**6 + 0*g**3 + 0*g**2 + 0*g**4. Factor b(c). 4*c**3*(c - 1) Factor 24*p + 34*p - 41*p**2 - 15 + 25*p - 4*p**3 + 9*p**3. (p - 5)*(p - 3)*(5*p - 1) Let d(x) be the second derivative of -1/5*x**5 - 3/8*x**4 + 0 + 3*x + 0*x**3 - 1/40*x**6 + 3/2*x**2. Let z(t) be the first derivative of d(t). Factor z(a). -3*a*(a + 1)*(a + 3) Let s be (-55)/20*160/(-880). Factor 1/2*a - s*a**3 + 3/2*a**2 - 3/2. -(a - 3)*(a - 1)*(a + 1)/2 Let k(a) be the second derivative of 1/4*a**4 + 3/2*a**3 + 0 - 4*a + 3*a**2. Factor k(m). 3*(m + 1)*(m + 2) Let j(a) be the third derivative of 0*a + 8*a**2 + 1/210*a**6 - 16/21*a**3 + 2/105*a**5 + 0 - 2/21*a**4. Factor j(s). 4*(s - 2)*(s + 2)**2/7 Let v(g) be the first derivative of -g**7/280 + g**6/120 + g**5/40 - g**4/8 - 2*g**3 - 34. Let j(q) be the third derivative of v(q). Factor j(f). -3*(f - 1)**2*(f + 1) Let g(d) be the third derivative of -d**5/270 + 5*d**4/54 - 7*d**3/9 - 3*d**2 + 14. Determine h, given that g(h) = 0. 3, 7 Factor 3*f**3 + 163*f**2 + 4*f**4 - 169*f**2 - f**4. 3*f**2*(f - 1)*(f + 2) Let j(u) be the first derivative of 1/4*u**5 + 80*u + 485/12*u**3 + 30 - 45/8*u**4 - 90*u**2. Determine v so that j(v) = 0. 1, 8 Let d be (-21)/14 - (-174)/108. Let o(p) be the first derivative of 0*p**2 - 1/18*p**6 + 1/15*p**5 - d*p**3 + 1 + 0*p + 1/12*p**4. Factor o(s). -s**2*(s - 1)**2*(s + 1)/3 Factor 0*d**4 + 2*d - 2*d**4 + 47*d**3 + 2*d + 4*d + 8*d**2 - 49*d**3. -2*d*(d - 2)*(d + 1)*(d + 2) Let c(z) be the second derivative of -z**6/6 - 5*z**5/2 - 35*z**4/3 - 20*z**3 + 281*z. Factor c(h). -5*h*(h + 2)**2*(h + 6) Let i(j) be the third derivative of j**6/360 + j**5/40 + j**4/12 + j**3 - 17*j**2. Let z(h) be the first derivative of i(h). Factor z(a). (a + 1)*(a + 2) Let p(f) = -f**2. Suppose h = 13*h - 12. Let a(j) = 6*j**2 + 24*j - 21. Let o(g) = h*a(g) + 9*p(g). Factor o(x). -3*(x - 7)*(x - 1) Let r(h) = h**4 - h**3 - h**2 - h - 1. Let n(j) = -25*j**4 - 185*j**3 + 445*j**2 - 195*j + 20. Let s(q) = n(q) + 20*r(q). Factor s(w). -5*w*(w - 1)**2*(w + 43) Let x be (-339)/54*(-5)/130. Let d = 1/117 + x. Factor -1/4*q - 1/2 + d*q**2. (q - 2)*(q + 1)/4 Let g(t) be the first derivative of 0*t + 1 + 25/4*t**4 + 4*t**5 + 5/6*t**6 + 10/3*t**3 + 0*t**2. Factor g(q). 5*q**2*(q + 1)**2*(q + 2) Let n be (-1)/((-18)/4) + (68 - (71 - 3)). Factor -n*g**2 - 2/3 + 8/9*g. -2*(g - 3)*(g - 1)/9 Let c(h) be the second derivative of -h**5/12 + 35*h**4/24 - 5*h**3 - 6*h**2 - 14*h. Let r(z) be the first derivative of c(z). Find m, given that r(m) = 0. 1, 6 Let c(m) = m**4. Let y(q) = -39*q**4 - 28*q**3 + 8*q**2. Let u(f) = -3*c(f) - y(f). Suppose u(x) = 0. What is x? -1, 0, 2/9 Let x be (4/(-3))/(1260/(-162)). Let q(y) be the first derivative of -7 + x*y**5 + 1/7*y**2 + 10/21*y**3 + 0*y + 1/2*y**4. Factor q(a). 2*a*(a + 1)**2*(3*a + 1)/7 Factor 2/15*v**2 + 2/15*v - 4/5. 2*(v - 2)*(v + 3)/15 Let j(v) be the first derivative of 5*v**3/9 + 335*v**2/3 + 22445*v/3 - 353. Factor j(y). 5*(y + 67)**2/3 Let c be (((-4)/50)/((-42)/240))/((-492)/(-3690)). What is p in -4/7*p**2 + c - 4/7*p = 0? -3, 2 Let h(n) = n**2 + 69*n + 731. Let m be h(-56). Factor 10/13*k - 10/13*k**4 - 2/13 + 20/13*k**m - 20/13*k**2 + 2/13*k**5. 2*(k - 1)**5/13 Let g be (10/(-15))/(-15 + 11). Let d(z) be the first derivative of -1/5*z**5 + g*z**6 - z + 1/2*z**2 - 6 + 2/3*z**3 - 1/2*z**4. Factor d(x). (x - 1)**3*(x + 1)**2 Suppose 2*h + 2*m = 6 + 10, 2*h - 11 = -m. Suppose h + 5 = 4*f. Factor f + 0*a - 8 + 8*a - 2*a**2. -2*(a - 3)*(a - 1) Let f(b) be the first derivative of -b**7/147 - 2*b**6/105 - b**5/70 + 16*b - 11. Let o(m) be the first derivative of f(m). Factor o(w). -2*w**3*(w + 1)**2/7 Let w(s) be the second derivative of s**7/49 + s**6/35 - 3*s**5/5 + 13*s**4/7 - 19*s**3/7 + 15*s**2/7 + 7*s + 2. Determine d, given that w(d) = 0. -5, 1 Let k be 5 + (-9 - 44/(-10)). Factor -4 + 18/5*q + k*q**2. 2*(q - 1)*(q + 10)/5 Let v = -2266 - -2266. Let v - 6/7*s + 0*s**3 + 3*s**2 - 27/7*s**4 = 0. What is s? -1, 0, 1/3, 2/3 Let q be (-16)/(-24)*9/(-94)*2. Let c = 59/94 + q. Factor -1/2*b**2 + 0 - c*b**4 - b**3 + 0*b. -b**2*(b + 1)**2/2 Let w(k) be the first derivative of k**6/36 + k**5/10 + k**4/8 + k**3/18 - 35. Factor w(d). d**2*(d + 1)**3/6 Let w(q) = 33*q**4 - 9*q**3 - 6*q**2. Let y(i) be the second derivative of i**6/30 - i**5/20 + 8*i. Let h(v) = w(v) - 18*y(v). What is z in h(z) = 0? -1, 0, 2/5 Factor 116/3 - 40*x + 4/3*x**2. 4*(x - 29)*(x - 1)/3 Suppose -5*h = 2*m + 11 + 2, 16 = m - 2*h. Factor 2*s**2 + 6*s - 6*s**2 + m*s**2 - 5*s**2. -3*s*(s - 2) Suppose -d + 38 = 2*l + 29, -4*d + 9 = -l. Let z(m) be the first derivative of 9/8*m**4 + l*m + 5 + 4*m**3 + 21/4*m**2. Factor z(o). 3*(o + 1)**2*(3*o + 2)/2 Factor -41/2*c**3 - 361/6*c - 20 - 121/2*c**2 - 1/6*c**4. -(c + 1)**3*(c + 120)/6 Let k(r) be the second derivative of -r**4/48 - 5*r**3/6 + 11*r**2/2 - 29*r. Determine x, given that k(x) = 0. -22, 2 Let l(o) = -o**3 + 6*o**2 - 7*o + 1. Let g be l(2). Find m such that -25*m**4 + 0*m**5 + 40*m**2 - 3*m**5 + 2*m**5 - 15*m**g + 20*m + 11*m**5 = 0. -1, -1/2, 0, 2 Let d(r) be the second derivative of -r**6/15 - 2*r**5 + 11*r**4/3 + 20*r**3/3 - 21*r**2 + 5*r - 17. Determine z so that d(z) = 0. -21, -1, 1 Let o(n) = -n**3 - 64*n**2 - 64*n + 1. Let a be o(-1). Factor -4/5*i - 2/5 - 2/5*i**a. -2*(i + 1)**2/5 Suppose -5*l = -l + 5*g, -5*g = 0. Suppose -3*n + 0 + 27 = l. What is y in n*y**2 + 2*y**2 + y**3 - 13*y**2 + y = 0? 0, 1 Factor -2/15*i**3 + 0 - 6/5*i + 4/3*i**2. -2*i*(i - 9)*(i - 1)/15 Let y(p) be the third derivative of 0*p - 25/21*p**3 - 5/28*p**4 - 1/420*p**6 - 35*p**2 + 3/70*p**5 + 0. Find d such that y(d) = 0. -1, 5 Let m(o) = -o**2 - 11*o + 180. Let q be m(-20). Let z(l) be the second derivative of 0 + 4*l + 1/108*l**4 + 0*l**2 + q*l**3 + 1/180*l**5. Factor z(f). f**2*(f + 1)/9 Suppose 3*v - 2*a - 3*a = 34, 4*a + 11 = -3*v. Solve -4 + 0*n**3 + 2*n - 15*n**2 - 5*n**4 + 10*n**4 + 2*n**v - 18*n = 0. -1, -2/5, 2 Let n = -205 + 209. Let l(v) be the third derivative of 0*v + 1/6*v**n - 5*v**2 + 1/3*v**3 + 1/30*v**5 + 0. Let l(p) = 0. Calculate p. -1 Let c be (-3190)/725 - 18/(-3). Let 8/5*k - c - 2/5*k**2 = 0. Calculate k. 2 Let h(x) be the second derivative of x**5/30 + 11*x**4/6 + 121*x**3/3 + 6*x**2 + 23*x. Let m(u) be the first derivative of h(u). Solve m(b) = 0. -11 Let f(r) be the first derivative of r**5 - 55*r**4/4 + 200*r**3/3 - 120*r**2 + 246. Factor f(t). 5*t*(t - 4)**2*(t - 3) Let f(c) be the first derivative of -c**6/12 - 31*c**5/30 - 41*c**4/12 - 5*c**3 - 43*c**2/12 - 7*c/6 - 284. Find w such that f(w) = 0. -7, -1, -1/3 Let p(w) = -569*w - 3411. Let r be p(-6). What is c in 28/3*c**2 - 8/3*c**r - 19/2*c + 3 = 0? 3/4, 2 Let k(u) = -2*u - 22. Let v be k(-11). Find r, given that 3*r**2 + 8*r**3 + 6*r**4 + r**2 + v*r**4 - 2*r**4 = 0. -1, 0 Let d be (-24)/84 + (-132)/(-70). Find s, given that -4/5*s - 4/5*s**2 + d = 0. -2, 1 Suppose -24/7*n - 54/7*n**3 + 60/7*n**2 + 3*n**4 + 0 - 3/7*n**5 = 0. Calculate n. 0, 1, 2 Let m(g) be the second derivative of -12*g**5/5 + 26*g**4 - 225*g**3/2 + 243*g**2 + 45*g + 2. Factor m(a). -3*(a - 2)*(4*a - 9)**2 Let b = 57 - 54. Factor -b + 23 - 4*z**2 - 4. -4*(z - 2)*(z + 2) Let k(i) be the third derivative of
{ "pile_set_name": "DM Mathematics" }
o 1/3? (a) -0.3 (b) -4/5 (c) -269/58 (d) -4/7 (e) 2/7 (f) -6 e Which is the nearest to -1/2? (a) 174446 (b) -0.04 (c) -2 b What is the closest to 117 in 0.0136, -0.5, -2? 0.0136 Which is the nearest to 24? (a) 55 (b) 7/6 (c) 5 c What is the nearest to -0.8 in -276, 5, 1/2, -76, 1? 1/2 What is the nearest to 0 in -2, -382, 2/6301? 2/6301 What is the closest to 2/7 in -1/5, 320, 0, -34, -3? 0 Which is the closest to 0? (a) -0.24 (b) -7 (c) 2/47 (d) 4 (e) -0.5 c What is the closest to -43637 in 4, -0.02, -0.2? -0.2 What is the nearest to -111/50 in -3, 3, -2.8, 0, -5? -2.8 Which is the nearest to -1/3? (a) -42 (b) -0.4 (c) -0.013 (d) 2/147 (e) 1 (f) 0.14 b What is the closest to 1 in -18, -0.1, 217, 4, 2, 1333? 2 Which is the closest to -0.4? (a) -5 (b) -2 (c) -10254 (d) 10 (e) -5/2 b Which is the nearest to 1/6? (a) -1/7 (b) -9 (c) 2 (d) -2 a Which is the nearest to -79404? (a) -2/7 (b) -1 (c) -60/13 c What is the nearest to 1 in -6/103, 168, -2.2, -3/7? -6/103 Which is the closest to -0.4? (a) -2 (b) -3 (c) 0.1823 c Which is the nearest to 53? (a) -6 (b) 234 (c) -1/2 (d) -0.4 d Which is the closest to 0.2? (a) 4 (b) -27876/7 (c) 5 (d) -2/21 d What is the nearest to 0 in -229/36, -1, -4, -0.6? -0.6 Which is the closest to -1? (a) 1/3 (b) -0.1 (c) -0.01783 b Which is the closest to 1/2? (a) 32 (b) -1/5 (c) -28962 (d) 2/3 d What is the nearest to -1 in -0.22, -4, -0.1, 31, 0.19? -0.22 What is the nearest to 0 in -19/175, -0.5, 1, -0.9, 50? -19/175 Which is the closest to -30? (a) 4/7 (b) -32850 (c) -2/5 c Which is the nearest to 62? (a) 0.3 (b) -11/3 (c) 3/38 (d) 1 (e) -2/9 (f) -1 d Which is the closest to -0.1? (a) 64 (b) 2/5 (c) 1 (d) -4 (e) -26 (f) -0.02 f Which is the nearest to 40? (a) 32/147871 (b) -0.2 (c) 4 c Which is the closest to -2/9395? (a) 3/7 (b) -2 (c) -22 (d) -7 a What is the closest to -1/396880 in -0.05, -3, -5, -2/17? -0.05 Which is the nearest to -1? (a) -8 (b) -0.060272 (c) -27 (d) 2/11 b What is the nearest to -5 in -3/4, 36/1153, 0.7? -3/4 Which is the nearest to 13/6? (a) 3109 (b) 3 (c) -0.5 (d) 0.1 b Which is the closest to 5? (a) -2/10555 (b) -10 (c) 0 c What is the nearest to -1935 in -3, 1.6, -0.2? -3 What is the closest to -1/5 in -1/3, 2, -156.62, -2/21? -2/21 What is the nearest to -2/13 in -4, -2/11, 1215? -2/11 What is the nearest to 0.1 in -1/5, 1, 10, -3, 2/299203? 2/299203 What is the closest to 1 in 96/991, -1/3, 3, -2/9, -0.06? 96/991 What is the nearest to 2/263 in 2/3, 4, -69, -14, 57, -0.1? -0.1 Which is the nearest to 1/4? (a) -28107/5 (b) 2/7 (c) 4 (d) 1 (e) -2/15 b What is the closest to 0.07 in 1/4, -3068, -6/17, 0.4, -0.1? -0.1 Which is the nearest to 3? (a) -18 (b) -6/25 (c) -42/5 (d) 0 (e) 5 e What is the nearest to -0.11 in 11962, -4, -9/4? -9/4 Which is the nearest to 17? (a) 2 (b) -1 (c) 163857 (d) 0.2 a What is the closest to 214 in -1/6, -5/3, 2/23, 359? 359 Which is the nearest to 0? (a) -1/11 (b) 3 (c) -0.2 (d) -164373 (e) -0.02 e Which is the closest to 989? (a) -0.3 (b) 1 (c) 0.189 b Which is the closest to -2? (a) -1587 (b) 0.5 (c) 3 (d) 1/4 (e) -2/91 (f) -3 f What is the nearest to 2/109 in 1, -2/13, 172.9, -2, -0.3? -2/13 Which is the nearest to -2? (a) -0.4 (b) -16 (c) 0.17 (d) 225 a What is the closest to -9 in -0.1, 6/7, -5, 2/7, -0.09? -5 Which is the nearest to 161? (a) 6 (b) 5 (c) -2.09 (d) -2 a Which is the closest to -28? (a) -2 (b) 481 (c) -37 c What is the nearest to 285 in -0.5, -3, 0.5, 1578, -0.2, -0.1? 0.5 Which is the closest to 2230? (a) -2 (b) 2/9 (c) -4.9 b Which is the closest to -0.2? (a) -4/5 (b) -1 (c) -4 (d) -3/4 (e) -4/35 (f) 3/3440 e What is the nearest to 345/2 in 1/6, -2/5, 354/7? 354/7 Which is the closest to -7? (a) 4 (b) -3.4 (c) 30/11 b What is the closest to 5 in 7/34, -1/73, -252, -3/2? 7/34 What is the closest to 1/4 in 2/15, 0.1478, -4, 13, 5? 0.1478 What is the closest to -1 in -4, -31.6, 36, 0? 0 Which is the nearest to -0.01? (a) -0.1 (b) -49/4 (c) -1.4 (d) 441 a What is the closest to 1/2 in -1/6, 3, 6.62, -5, -131.6? -1/6 What is the closest to 0.5 in 0.2298, -0.01, 2/7, 0.3, 14, -2/9? 0.3 Which is the closest to 0? (a) 1 (b) -1.34 (c) 3/4 (d) 4/59 d Which is the nearest to -1? (a) 0.5 (b) -1/14 (c) 0.3 (d) -713 (e) 0.2 b Which is the nearest to -5? (a) 2 (b) -2 (c) -102 (d) 0 (e) 1/4 b What is the nearest to 1/2 in -0.1, 488, -3, 286, 1/2? 1/2 Which is the nearest to 2/7? (a) 0 (b) -3/2 (c) 0.2 (d) -0.2 (e) 279 (f) 121 c What is the nearest to 3 in 1/6, -1/3, 18800, 23, 0.2? 0.2 What is the closest to 0 in -9, -0.1, -2/11, -2, 279? -0.1 What is the nearest to 9 in -4, 186, -5/8, 5? 5 Which is the nearest to 1? (a) 6/11 (b) -3/5 (c) -56/11 (d) 16.6 a Which is the nearest to -1/3? (a) 0.5 (b) -258/121 (c) -4 (d) -2/13 d What is the closest to 0.1 in -5, 5, -0.159, -3, -7, -3/50? -3/50 Which is the nearest to -0.1? (a) 0.071 (b) 0.07 (c) 1/3 (d) -0.5 (e) -261 (f) -5 b What is the nearest to -0.04 in -1.1, -97, -5, 5, -17, 0.4? 0.4 What is the closest to 2 in -1, -17, -4, 0.137, 0.35? 0.35 What is the nearest to -1 in -1/2, -47, 4, -54, 0.04? -1/2 Which is the nearest to -1? (a) 34/3 (b) 0.5 (c) -3 (d) 561 (e) 24 b Which is the closest to -93? (a) -7/3 (b) -2/321 (c) -3/8 a Which is the nearest to 337? (a) 1/15 (b) -2 (c) 19 c What is the nearest to 5 in 51994, 0.1, 2/3? 2/3 What is the closest to 135 in -2, 2/513, -4, 0.1? 0.1 What is the closest to -26 in -49312, 3, 43? 3 Which is the closest to -4? (a) -24 (b) 0 (c) 183 (d) -0.1 (e) 1/5 d Which is the closest to -0.3? (a) 4/5 (b) 1 (c) 116/11 (d) -4 (e) -50 a Which is the closest to -4? (a) -1/15 (b) -2/15 (c) 5 (d) -4 (e) -3801 d What is the nearest to -2/9 in 156214, 0, 122? 0 What is the nearest to 0.05 in 5, 0.2, 31/529, -1/2, 0.3? 31/529 What is the nearest to 0.2 in -1, -2/13, 36180/103? -2/13 What is the nearest to 2/7 in 7.01, 13, 8.6, -2? -2 Which is the nearest to -2/11? (a) -116720 (b) 3/17 (c) 0 c What is the closest to 3/4 in -8/207, 5, 0.3, -0.9, -9? 0.3 Which is the closest to -26/9? (a) 2 (b) -7 (c) -2388 b Which is the nearest to 0.1? (a) 3/133 (b) 2/9 (c) 0.3 (d) -0.0439 a Which is the closest to 486? (a) 2/9 (b) -0.3 (c) 17 (d) -2/13 (e) 3 c Which is the nearest to 1? (a) 552679 (b) 2 (c) 1/4 (d) -2 (e) -2/11 c Which is the closest to -5/6? (a) -1558 (b) -1 (c) -3 (d) 1/6 (e) -0.3 b Which is the closest to -39? (a) 23 (b) -0.107 (c) 18 b What is the nearest to -2/3 in -567, -0.5, 119, 28, -2? -0.5 Which is the closest to -0.05? (a) 20/39 (b) 2393 (c) 3/5 a Which is the nearest to -2/13? (a) -6 (b) 36 (c) 15/7 (d) 6 (e) -2/7 e Which is the nearest to 1/4? (a) -30/7 (b) 0.2 (c) 1/6 (d) 68/45 (e) -2 b Which is the nearest to 13/11? (a) 1 (b) -3/7 (c) 8 (d) 0.26 (e) 0 a Which is the nearest to 7.12? (a) 0.4 (b) 3 (c) -0.5 (d) 0.6 (e) 3/4 b Which is the closest to -4/17? (a) 3/22 (b) 1 (c) -2/13 (d) -0.05 c Which is the nearest to -0.4? (a) -0.1 (b) 4 (c) -1/2 (d) -3228 (e) -3/4 (f) -17 c What is the nearest to -8/7 in -1022, -14, 362, 2/11? 2/11 What is the nearest to -97 in 2/11, -84/11, 2, 25? -84/11 What is the closest to -28 in 4, -130, -2/75, -4, -3, 1? -4 Which is the closest to 2? (a) 0.2 (b) 0.08 (c) 3 (d) 172 (e) 83/4 c What is the closest to 12/7 in 5, -5, 2/11, 1/15? 2/11 Which is the closest to -1/3? (a) 0.5 (b) -4 (c) 8 (d) -0.1877 (e) 2/15 d Which is the nearest to -0.3? (a) 2057 (b) -10 (c) -1/6 (d) 6 c Which is the closest to 0.051? (a) -1145 (b) -22 (c) -2 (d) 0.2 d What is the nearest to 4/67 in 6008, 9, -0.5? -0.5 Which is the nearest to 1766? (a) -3065 (b) -1/6 (c) 3 c What is the closest to -0.04 in -5, 0.3, 9/403, 0, 0.1? 0 What is the closest to 0.08 in -0.0269, -4, -142? -0.0269 Which is the closest to 104? (a) -2/17 (b) -0.1 (c) -3 (d) -2/11 (e) -0.2 b Which is the closest to -8/5? (a) 1/296 (b) 1 (c) -369.4 a What is the nearest to -11 in -40, -130, 0.5, 35/6? 0.5 What is the closest to -139 in 3, 0.4, 0.06, -5/11? -5/11 Which is the closest to 1/2? (a) -1 (b) 13/2
{ "pile_set_name": "DM Mathematics" }
se -3*l + 2 + 25 = 0. Suppose -l*t + 165 = -4*t. List the prime factors of t. 3, 11 Let b(x) = x**2 + 10*x - 1. Suppose -38 = 3*f + o, -28 = -3*f + 4*o - 86. Let m = -25 - f. List the prime factors of b(m). 2, 5 Suppose 188 = 5*h - 127. List the prime factors of h. 3, 7 Let o(f) = f**2 + 4*f. Let r be o(3). Suppose -3*v + 2*b = -r, -26 = -v - 3*v + 2*b. Let l(t) = 3*t + 2. What are the prime factors of l(v)? 17 Let k = -172 - -175. List the prime factors of k. 3 Suppose 7*k = k + 720. List the prime factors of k. 2, 3, 5 Suppose 7 = 5*u - 98. Let w(f) = -f**3 + 4*f**2 - 8*f + 3. Let t be w(3). Let g = t + u. What are the prime factors of g? 3 Let o(u) = -u + 10. Let g = -3 - -7. Let m be -2 + 5 - g - -8. What are the prime factors of o(m)? 3 Suppose x - 94 = -3*n, 2*x + n - 3*n = 148. List the prime factors of x. 79 Suppose -93 = -3*p - 4*v + 176, -257 = -3*p + 2*v. List the prime factors of p. 3, 29 Suppose -8 - 32 = 2*z. Let p = z - -22. What are the prime factors of p? 2 Let j(l) = -l**3 - 2*l**2 + 63. What are the prime factors of j(0)? 3, 7 Let d(f) = -13*f**2 - 4*f**2 - f + 18*f**2. List the prime factors of d(-4). 2, 5 Let z = 22 + -28. Let l(o) be the first derivative of -3*o**2/2 - 8*o + 1. List the prime factors of l(z). 2, 5 Suppose 0*v = v - 3. Suppose -v*z + 2*j = -31, z - j - 22 = 2*j. List the prime factors of z. 7 Let n = 45 - 19. Let g(s) = -2*s**2 - 10*s - 4. Let z be g(-4). Suppose -z*p + 3*t + 0*t = -46, 3*p - n = -2*t. What are the prime factors of p? 2, 5 Suppose 4*g - 41 = 3*g - 5*a, -3*g + 55 = -2*a. Let h = -13 + g. List the prime factors of h. 2 Let m(w) be the third derivative of -w**5/60 + w**4/2 - 2*w**3/3 - 4*w**2. Let s be m(10). List the prime factors of 38/8 + 4/s. 5 Suppose 4*f + 70 = 2*w, 0 = 4*f + 8 + 8. What are the prime factors of w? 3 Let h be -1 - (2 - -19)/1. Let l = 35 + h. What are the prime factors of l? 13 Let k(v) = -3*v - 3. Let w be k(-2). Suppose w*n - 11 = 34. Suppose -j + 4*j - n = 0. What are the prime factors of j? 5 Suppose -j + 11 + 23 = 0. Suppose -g - 29 + 93 = 4*w, -g + j = 2*w. Let i = w + -10. What are the prime factors of i? 5 Let f be 0 + 0 - (1 - 5). Suppose 2*z = -f*w + 180, 0*z + 5*z - 45 = -w. What are the prime factors of w? 3, 5 Suppose 4*d = 18 + 262. What are the prime factors of d? 2, 5, 7 Let u(m) = m**3 + 10*m**2 + 8*m + 8. List the prime factors of u(-9). 17 Let k(i) = 2*i + 14. Suppose 3*a = 2*a. List the prime factors of k(a). 2, 7 Suppose -3*i = -322 - 233. List the prime factors of i. 5, 37 Let w(o) = -4 + o + 0*o - 5. Let h be w(7). List the prime factors of (-3)/6*h - -1. 2 Suppose t + 68 = 3*z, -z + 3*t + 6 = -6. What are the prime factors of z? 2, 3 Suppose 5*q - 3*q = 48. What are the prime factors of q? 2, 3 Let l = 14 - -76. What are the prime factors of l? 2, 3, 5 Let q(j) = 13*j**2 + 8. Let w(d) = 72*d**2 + 44. Let o(y) = 28*q(y) - 5*w(y). Let b be o(-3). Suppose -2*p - 2*p = -b. What are the prime factors of p? 2, 5 Let n = 13 + 2. Let l = n - 0. List the prime factors of l. 3, 5 Let y be (1 + 25)/(12/6). List the prime factors of (3 - 5) + y - 1. 2, 5 List the prime factors of 9/(-12)*2 - 335/(-2). 2, 83 Let u = -6 - -9. Suppose -10 = -u*a - 2*a. Suppose a*y + 6 = 0, -y + 6*y + 85 = 5*o. What are the prime factors of o? 2, 7 List the prime factors of ((-24)/(-36))/(2/210). 2, 5, 7 Let j be 31 + 2 - (2 + -1). Suppose 0 = 3*h - j - 13. List the prime factors of h. 3, 5 Let h = -5 + 8. Suppose -u - 3*d + 6 = -1, -h*u + 31 = 4*d. List the prime factors of u. 13 Let t(m) = 7*m - 1. Let u be t(1). Let o be (4/u)/(2/81). Suppose -2*q + o = q. What are the prime factors of q? 3 Let d be -2 + (-3 - 0) + 7. Suppose -i = d*i + 27. Let v = 12 + i. List the prime factors of v. 3 Let s = 6 - 2. Suppose s*n - 58 = -5*z, -5*z - n = -22 - 30. Suppose -2 + z = l. What are the prime factors of l? 2 Suppose -3*g = 2*g - 130. Let d = 45 - g. List the prime factors of d. 19 What are the prime factors of ((-341)/22)/(((-3)/2)/3)? 31 Let t(w) = w**2 + 2*w - 2. List the prime factors of t(4). 2, 11 Let w(a) = -101*a - 7. List the prime factors of w(-1). 2, 47 Let n = 69 + -59. Let g be 214/8 + (-3)/(-12). List the prime factors of g/18*n/3. 5 Suppose 0 = 4*z - 9*z + 15. Suppose t = z*t - 12. Suppose j + t = 3*j. What are the prime factors of j? 3 Let f = -118 - -178. List the prime factors of f. 2, 3, 5 Let a = -13 + 4. Let g = a - -11. List the prime factors of g. 2 Let a = 32 - -25. What are the prime factors of a? 3, 19 Let o(m) = 5*m**2 + 3*m + 2. Let b(s) = -11*s**2 - 6*s - 5. Let z(g) = -4*b(g) - 9*o(g). Let k be z(-3). List the prime factors of 4*1/k - -9. 11 What are the prime factors of ((-20)/3)/((-5)/150*1)? 2, 5 List the prime factors of 0*2/8 - -8. 2 Let a = -63 - -140. List the prime factors of a. 7, 11 Let f(m) = -m + 4. Let y be f(0). Suppose -14 = -y*b + 26. What are the prime factors of b? 2, 5 Suppose 3*o - 37 = -4*c, 0 = -4*o - 4*c - 6 + 50. Suppose 4*r + o - 71 = 0. What are the prime factors of r? 2 Let y = 72 - 70. What are the prime factors of y? 2 Let t(r) = r**3 - 9*r**2 - 9*r - 5. Let h be t(10). Suppose 34 = v - h*j, 0 = -4*v + 5*j + 288 - 107. List the prime factors of 2/(-7) + 700/v. 2, 7 Let b = -14 - -24. What are the prime factors of b? 2, 5 Let t(f) = -5*f - 18. What are the prime factors of t(-7)? 17 Suppose 3*p = 7 + 2. Suppose 0*a = -p*a + 57. What are the prime factors of a? 19 What are the prime factors of 2/5 - 7040/(-25)? 2, 3, 47 Let f(o) be the second derivative of o**4/12 - o**3/2 + o**2 + 3*o. What are the prime factors of f(5)? 2, 3 Suppose -j + 5*f = -32, 0 = -0*j + 3*j + 2*f - 28. Suppose q = -4*q + 55. Suppose 4*k = -2*x - 3 + q, -3*x = 5*k - j. What are the prime factors of x? 2 Suppose -24*m = -20*m - 644. List the prime factors of m. 7, 23 Suppose 31 = 3*o - 5*m, -6*m - 14 = 3*o - 2*m. What are the prime factors of 14/21*3*o? 2 Suppose 9 = -2*n + 5*n. Suppose 3*v + 4*a = -28 + 109, n*v = -a + 72. What are the prime factors of v? 23 Suppose 0 = 5*m, 2*j - j - 3*m = -3. Let t = 6 + j. Suppose w - t*w = -6. What are the prime factors of w? 3 Let w be (-2 + 2 - -24) + 3*-1. Let r(k) = k**2 + k + 4. Let z be r(-4). List the prime factors of (z/6)/(14/w). 2 Let k(m) = m - 2. Suppose -3*g = -5*b + 4, -g + 6 = 2*g - 3*b. Let c be k(g). Suppose -5*u - 2*t + 65 = 0, -2*u - c*t = u - 39. What are the prime factors of u? 13 Suppose 5*b = -n + 88, -4*b = 5*n - 2*n - 297. What are the prime factors of n? 103 Let q = -12 - -35. List the prime factors of q. 23 Suppose -4*y = 2*l - 48, -2*l = l - y - 65. What are the prime factors of l? 2, 11 Let h(u) = -5*u**3 + 2*u**2 - 1. Let v be h(-3). What are the prime factors of ((-4)/8)/((-4)/v)? 19 Suppose h + 10 = 3*t - 0*t, -8 = -4*h. Suppose a - 71 = -3*a + i, -4*a - t*i = -76. What are the prime factors of a? 2, 3 Let b be (-2)/6 - 376/(-12). Suppose 0 = 3*c + k - 16, 5*c - b = 3*k + 19. List the prime factors of c. 7 Let v(l) = l - 12. Let s be v(5). Let o = s + 42. What are the prime factors of o? 5, 7 Let p(z) = -z**3 + 2*z**2 - 2*z + 101. What are the prime factors of p(0)? 101 Let f(d) = -d**2 + 12*d - 8. Let q be f(10). Let u = 14 - q. List the prime factors of u. 2 Let o(p) be the first derivative of -p**4/8 - p**3/3 + p**2 + 2. Let h(x) be the second derivative of o(x). What are the prime factors of h(-4)? 2, 5 Let w be -2 + (-29)/(-1) - 3. Suppose -6*h - w = -8*h. What are the prime factors of h? 2, 3 Let g = -1 + 155. List the prime factors of g. 2, 7, 11 Let x(q) = q**3 + 6*q**2 - 4*q + 7. List the prime factors of x(-6). 31 What are the prime factors of (4/6)/(40/10020)? 167 Suppose -4*o = -5*o + 37. Let y = -20 + o. What are the prime factors of y? 17 Let u = 20 + -14. Suppose 2*i - 38 = -2*s, 3*s + u*i = i + 47. What are the prime factors of s? 2, 3 Suppose -4 = 6*m - 2*m, 15 = n - 5*m. Suppose 0 = 3*a + 2*a + n. List the prime factors of -2 - (a - 16)/3. 2 Let g = 1 - 1. Let i = -30 + 48. Suppose g = -2*t + d + 19, -18 = -3*t - d + i. List the prime factors of t. 11 Let b = 9 + -13. Let p be 2/b*(-354)/3. Suppose -5*z - 5*w = 9 - p, 4*w - 5 = 3*z. What are the prime factors of z? 5 Let u = 20 + -30. What are the prime factors of 27/(-45) - 76/u? 7 Let r(t) = 3*t**2 - 3 + 6 - 7*t
{ "pile_set_name": "DM Mathematics" }
- 4 + 4)*(-2 + 3 - 3) + 3 + 2 - 4) as x*w + n + q*w**2 and give q. -18 Express (-78 + 78 + 23*b)*(-5*b + 4*b + 2*b)*(0 + 2*b**2 - 1 + 3) in the form n*b**4 + v*b**2 + g*b + u + w*b**3 and give n. 46 Express -18 - 90*o + 7 + 12 as m + y*o and give m. 1 Express (-15*y - 14*y + 42*y)*(-5 + 18 - 3 - 2) as u*y + j and give u. 104 Express (-4*m + 3*m - m)*(-56*m**2 + 35*m**2 - 57*m**2) as q + x*m + k*m**2 + b*m**3 and give b. 156 Express (-3*k + 4*k - 3*k + k + k + 6*k + (0 - 1 + 0)*(k + k - 4*k))*(8 + 2 - 7) as n + z*k and give z. 24 Express 1 - 10*w**2 + 9*w + 6*w + 8*w**2 in the form n*w + x*w**2 + q and give x. -2 Rearrange -a**2 + a**3 + a**2 + a**2 - 6*a**4 - a**4 to the form u + k*a + l*a**3 + f*a**2 + s*a**4 and give f. 1 Express -22 + 22 + 21*n - 2*n as r + m*n and give m. 19 Express 1 - 1 - 2*j + (-4*j + j + j)*(291 - 126 - 366) in the form k + v*j and give v. 400 Rearrange 6*t**3 + 0*t**3 - 3*t**2 - 7 + 3 + 2*t**4 - 3*t**3 to o*t**3 + v*t + h + r*t**2 + d*t**4 and give r. -3 Rearrange -100*a**4 + 8*a**2 - 4*a**2 - a + a**3 + 101*a**4 to the form q*a**4 + p*a**3 + s + v*a + k*a**2 and give q. 1 Express (-3 + j + 3)*(-6 - 6 - 4)*(0*j + 3*j - j) as y*j + l + b*j**2 and give l. 0 Express -11*p - 10*p - 3*p - 6*p in the form g + f*p and give f. -30 Rearrange -o**3 + o - 2*o + 2*o**3 + 0*o**3 + 2 + 2*o**4 to the form q*o + f + n*o**2 + p*o**4 + b*o**3 and give p. 2 Express 3*k**3 - 4 - 9*k**3 + 1 in the form u + z*k**2 + l*k + f*k**3 and give u. -3 Rearrange 11*l**3 - 316 + 317 + 8*l**3 to the form b*l**3 + t + o*l**2 + k*l and give b. 19 Express 0 - 7*t**2 - t**3 - 2 - 2*t**3 + t**3 in the form a*t**3 + w*t + j*t**2 + h and give h. -2 Rearrange (-3*j - j + j + (-3 + 3 - j)*(2 - 2 + 2))*(-16 + 5 + 1)*(4 - 1 - 2) to v*j + z and give v. 50 Rearrange -43*t - t**3 + 16*t + t**2 + 24*t to the form l*t**3 + x*t**2 + f + d*t and give x. 1 Express 2*f**2 - 9 + 0*f + 0*f + 5 in the form o*f**2 + r*f + s and give o. 2 Express (-i**2 - 3*i**2 + i**2)*(2*i - 2*i**2 - 2*i) + 0*i**3 - i**4 + 0*i**3 - 3*i**4 + 0*i**4 + i**4 as b*i**4 + j*i + t*i**2 + g + s*i**3 and give b. 3 Rearrange -4*z**2 + 100 - 100 + 5*z**2 + 2*z**2 + z**2 + (z - 2*z + 2*z)*(-3*z + 7*z - 3*z) to the form l*z + k*z**2 + q and give l. 0 Express ((0 - 3 + 4)*(-2 - 1 + 0) + 1 - 5 + 2)*(1 + 0 - 3)*(-158 - 6*s + 158) as z*s + p and give z. -60 Rearrange (0 + 0 + 2*u)*((-2 + 2 - 3)*(-3 + 6 - 1) + (-1 + 3 - 4)*(3 - 4 + 0)) to f*u + b and give b. 0 Express -s + 4*s - 5*s + (-1 + 3 + 0)*(s - 2*s + 0*s) as b*s + m and give b. -4 Express (-5*v**2 + 3*v**2 + 4*v**2)*(-1 + 2 - 2) + 1 - v**2 - 1 + (4*v - v - 2*v)*(-1 - v + 1) - 2*v**2 + v**2 + 0*v**2 in the form t*v**2 + k*v + o and give t. -5 Express -4*t**3 + 8*t - 3*t + 0*t**3 in the form j*t**2 + w + n*t**3 + y*t and give y. 5 Rearrange (5 - 3 + 0)*(-11 - 12 + 15)*(g + 2*g + 0*g) to r*g + z and give r. -48 Rearrange 11*h**2 + 2*h - 14*h**2 + 0*h - 3*h**3 + 4*h to j*h**3 + f + d*h**2 + x*h and give x. 6 Express -n + 242*n**3 - 2*n**4 - 245*n**3 - n + n**2 in the form g*n**4 + a*n**2 + z*n + m + w*n**3 and give z. -2 Rearrange -26*s + 155*s + 47*s to m + b*s and give b. 176 Rearrange 14*u**3 - 1 + 2*u**4 + 9*u**2 + 6*u**3 - 19*u**3 to z*u + k*u**2 + o*u**4 + i*u**3 + n and give o. 2 Express 12*t**2 + 11*t**2 - 6*t**2 as z*t**2 + q*t + s and give z. 17 Rearrange -598 + 598 - 24*g**2 to the form t + o*g + i*g**2 and give i. -24 Rearrange -17 + 6*v + 17 + (-v - 4 + 4)*(2 + 0 - 3) + (1 - 1 + v)*(-4 - 2 + 5) to w + y*v and give y. 6 Express (5*p - 5*p - 5*p**3)*(0 + 0 + 2) + 3*p**3 + 3*p**3 - 4*p**3 in the form d*p + x*p**2 + q + h*p**3 and give h. -8 Rearrange 6*p**3 - 18*p**3 + p**2 + 2*p**3 + 7*p**3 - 2 to b + s*p + h*p**3 + j*p**2 and give b. -2 Rearrange -15*k**3 - 6 - k + 8*k**3 + 8 + 2*k**2 + (2*k**2 + 3*k - 3*k)*(-3*k + 2*k + 0*k) to the form w*k + i*k**3 + y + v*k**2 and give i. -9 Express 514 - 5*u - 514 as o*u + c and give o. -5 Rearrange (0*f + 2*f - 3*f)*(-8 + 1 - 3 + (1 + 1 + 0)*(5 - 3 + 0)) to the form n + c*f and give c. 6 Rearrange (2 + 1 - 1)*(-3 + 3 - 2*r) + 1 - 1 + r + 22*r - 118 + 118 to the form n*r + s and give n. 19 Rearrange -3*g + 3*g - 3*g + 8*g to s + q*g and give q. 5 Express -16*w + 1 + 7*w - 17*w as t + r*w and give r. -26 Rearrange -j + 75*j**2 - 33*j**2 - 25*j**2 to the form c + k*j + x*j**2 and give k. -1 Rearrange (31 - 15 + 10)*(5*y - y - 3*y) + (-2 + 2 + 2)*(-y + 2*y + 0*y) to w*y + i and give w. 28 Express -17*o + 2*o - 59*o in the form a*o + d and give a. -74 Express -3*w**2 - 3 - 4*w**2 + 2 + 5*w**2 - 2*w**3 as h*w**3 + q*w + t*w**2 + x and give h. -2 Express (-9*g + 0*g - g)*(-1 + 1 + g)*(-3 + 3 - 3*g) as p + u*g**3 + h*g**2 + q*g and give u. 30 Rearrange 3*v - 5 - 1 + 4*v**4 - 5*v**4 to the form j*v + l*v**4 + b*v**2 + x*v**3 + t and give j. 3 Rearrange -3*f**2 + 3*f**2 + 3*f + 3 + f**2 - f to w + p*f + o*f**2 and give p. 2 Rearrange (-2*q**3 + 0*q**3 + q**3)*((-3*q - 3*q + 5*q)*(1 - 3 + 1) - 74*q + 58*q - 69*q) to p*q + m + c*q**4 + o*q**2 + l*q**3 and give c. 84 Express (2*o - 2*o + 2*o)*(-o**2 + 4*o - 4*o) + 17 - 17 + 3*o**3 as y*o + d*o**3 + f + b*o**2 and give d. 1 Rearrange -21*k**2 - 17*k**2 + 13*k**2 to n*k**2 + r*k + m and give n. -25 Rearrange -170*v + 71*v + 49*v to the form a*v + b and give a. -50 Express -12*r - 10*r + 0*r - 3*r in the form l + o*r and give o. -25 Express t + 2*t**3 - 5 - 2 + 5*t**2 - 4*t**2 in the form u + o*t**2 + r*t**3 + p*t and give o. 1 Rearrange -1 + 0 - 13*p + 55*p**2 - 52*p**2 to s*p**2 + k + r*p and give k. -1 Rearrange -21*h**2 + 16 - h + 2*h**3 - 15 - h to the form q + s*h**3 + c*h**2 + z*h and give c. -21 Express -2*v + 13*v**2 + v - 4*v**2 as n + g*v**2 + a*v and give a. -1 Rearrange -4*y - 352*y**4 - 2 + 2*y + 351*y**4 to the form b*y**4 + u*y + h + a*y**2 + f*y**3 and give u. -2 Rearrange -37*j**3 + 3*j**2 + 2 - 2*j**2 + 36*j**3 - 5*j to q*j + s + h*j**2 + r*j**3 and give h. 1 Rearrange (-s - 2*s + s)*(-5 - 2*s + 5)*(-7 + 12 + 4) to d + p*s + z*s**2 and give z. 36 Rearrange 24*q**2 - 9*q**2 - 4*q**2 + 18*q**2 to the form v + z*q**2 + m*q and give m. 0 Express -36*c - 186*c - 16 + 16 in the form g + o*c and give o. -222 Rearrange (-2 + 0 + 7)*(-8 + 2 - 9*f + 1) to l*f + w and give w. -25 Express (2*u - 2*u - 2*u)*(-11 + 1 + 4)*(u - 1 + 1) in the form m*u + b + o*u**2 and give o. 12 Express 2*c**4 + 10 - 17 - 2*c**2 - 3*c**4 - 2*c as a*c**2 + g*c**4 + f + t*c + v*c**3 and give g. -1 Express 16*d**2 + 3*d**4 - 16*d**2 + (-2*d + 4*d - 4*d)*(2*d - 2*d - d**3) as n*d**2 + c + l*d**4 + k*d**3 + s*d and give l. 5 Rearrange 4*z - 5 - 5*z**3 + 2*z**3 - 3*z to t + l*z**3 + a*z + d*z**2 and give l. -3 Express (-2*t + t**3 + t + 3*t + (-6*t + 3*t + t)*(-3*t**2 + 5*t**2 - 3*t**2))*(-17 - 13*t + 17) as x*t**3 + q*t**4 + l*t + s*t**2 + b and give q. -39 Express -2*t**2 + 3*t**2 + 2*t**2 + t**2 - 6 + 6 + (0*t + 0*t + 2*t)*(t - 3 + 3) in the form n*t**2 + o + j*t and give n. 6 Express -u**4 - 3*u + 3*u + (-60 - 65*u**3 + 60)*(-2*u + 0*u + 5 - 2) as w*u**3 + n + a*u**2 + j*u + x*u**4 and give w. -195 Rearrange (4*x**2 + x**2 + x**2)*(5 + 2 - 4)*(-2*x**2 - 2*x**2 + 3*x**2) to the form f*x**3 + j*x**2 + g*x + l + k*x**4 and give k. -18 Rearrange (1 - 1 + l)*(766*l - 1361*l + 763*l) to v*l + o*l**2 + b and give b. 0 Express -13*w - 5 + 19*w - 5*w as z + p*w and give z. -5 Rearrange -13*n + 0*n + 63*n to the form h + o*n and give o. 50 Express -4 + 13*k + 9 + 2 - 6 - 2*k**2 in the form h*k**2 + n*k + g and give h. -2 Rearrange -105*n - 4 + 3 + 2*n**2 - 1 + 103*n + 8*n**3 to the form p + r*n**2 + d*n**3 + c*n and give r. 2 Rearrange (5 - 2 - 2)*(-25 - 3*b + 25)*(b**2 + 6*b**2 - 3*b**2) to the form m*b**3 + l*b**2 + h*b + j and give m. -12 Express -10*i**2 + i**2 - 3*i**2 in the form v*i + d*i**2 + k and give d. -12 Express 4*x**2 + 2*x**3 - 4*x**2 - 6*x**3 + 4*x**3 + x**3 + (4*x**2 + 0*x**2 - 3*x**2)*(1 - 1 + 4*x) as g*x + v + m*x**2 + k*x**3 and give k. 5 Rearrange 9 - 9 + 2*m**2 + (-3*m - 2 + 2)*(-1 - 2*m + 1) + 1 - 2*m**2 - 1 to the form b + r*m**2 + x*m and give b. 0 Express -4*d**2 - 17*d**2 - 16*d**2 in the form p*d**2 + u + b*d and give p. -37 Express 7*r**2 - 3*r**3 - 29 - r**3 - 8*r**2 in the form n*r + g*r**2 + f + m*r**3 and give m. -4 Rearrange (-5 + 5 + 2 + (-3 + 4 - 3)*(-1
{ "pile_set_name": "DM Mathematics" }
uppose 0 = 5*d - 0*d + 4*l - 484, 5*d = -5*l + 485. Calculate the greatest common divisor of 24 and d. 24 Suppose -4*b + 76 = 2*h, 0*b + 10 = b - 4*h. What is the highest common factor of b and 45? 9 Let o = -58 + 76. What is the greatest common divisor of o and 162? 18 Let s(q) = -6*q**3 + 3*q**2 - q. Let b be s(-3). What is the highest common factor of 24 and b? 24 Let b = -30 - -11. Let n = 5 - b. Suppose -7*a + 10*a = 24. Calculate the greatest common factor of a and n. 8 Let d be (1 - (-38)/(-6))/(22/(-231)). What is the greatest common divisor of 8 and d? 8 Let s(c) = -c**2 - 10*c + 9. Let f be s(-10). What is the highest common divisor of f and 1? 1 Suppose 3*q - 263 = 5*x, -2*q + 4*x = -6*q + 308. Calculate the highest common factor of q and 54. 27 Let m = 8 - 17. Let n be (m + 10)/(2/268). Let y = n + -46. What is the highest common factor of y and 11? 11 Suppose 12*m - 7*m - 15 = 0. Suppose -m*x = -5*x + 88. What is the greatest common factor of 4 and x? 4 Let n = 37 + -35. Calculate the greatest common factor of 3 and n. 1 Let a = 20 + -18. Suppose -a*t + t + 5 = 0. What is the highest common divisor of 35 and t? 5 Let u = -18 - -96. Suppose -3*z - 6 = 0, -2*z + u = -2*n + z. Let t be (n/(-5))/((-3)/(-10)). What is the highest common factor of t and 7? 7 Suppose 0 = -3*z + 5*v + 20, 0 = z - 2*v + v - 4. Let y be z + 1 + (-12 - -28). What is the highest common factor of 153 and y? 17 Suppose -1 = -x + 1, 3*a - 5*x = 29. Calculate the highest common divisor of a and 13. 13 Suppose 0 = 5*f - 109 - 71. Let n = -20 + f. Let w be ((-6)/(-4))/(3/4). Calculate the highest common divisor of n and w. 2 Suppose 0*h - 1 = -h. Let d be (-9)/6*-6*h. Calculate the greatest common factor of 72 and d. 9 Let z(a) be the first derivative of -a**3/3 - 9*a**2/2 - 7*a + 9. Let m be z(-6). What is the highest common divisor of 11 and m? 11 Suppose -45 = -5*v - 4*j, -6*j + 25 = -j. Let p = -14 + 49. What is the greatest common factor of v and p? 5 Suppose -q + 3*k + 26 = 1, 0 = -2*q - 2*k + 10. Let y be 0*(-1 + (-8)/(-4)). Suppose y = -22*d + 23*d - 110. Calculate the highest common factor of d and q. 10 Suppose 12*i - 2 = 11*i. What is the highest common factor of 22 and i? 2 Let l = -22 - -28. Suppose 4*s - 2 - l = 0. What is the greatest common factor of 2 and s? 2 Let o(q) = -12*q**3 - 1. Let d = 0 + -1. Let k be o(d). Calculate the highest common factor of k and 11. 11 Let p be (-2)/3 - 440/(-12). What is the highest common factor of p and 12? 12 Suppose 2*w - 3 - 5 = 0. Suppose -j + 20 = w*j. What is the greatest common divisor of j and 16? 4 Let k(m) = -10*m - 66. Let n be k(-7). Calculate the highest common factor of 16 and n. 4 Suppose 4*z + 3*d - 2*d = 20, 4*z + 4 = 5*d. What is the greatest common divisor of 44 and z? 4 Let y(v) = v + 17. Let u be y(-8). Calculate the highest common divisor of 9 and u. 9 Let u be 1*34*2 + 1. What is the greatest common divisor of u and 23? 23 Suppose 4*d + 12 = 0, 0*d + 5 = -2*y - 5*d. Suppose l - 5*n = 45, 3 - 2 = -n. Calculate the highest common factor of l and y. 5 Let g be (1*(1 - -1))/(-2). Let s be 0/(0 - g/1). Suppose q - 21 - 24 = s. What is the greatest common divisor of q and 18? 9 Let s be 970/9 - (-8)/36. Suppose 0*d = 5*p - 4*d + 7, 5*d = 15. Let g be (-1)/(s/(-105) + p). What is the greatest common factor of 5 and g? 5 Let g(x) = -x**3 - 6*x**2 - 2*x - 6. Let r be g(-6). Suppose 61 = 3*b + 4*t, 2*b + 0*t - 38 = -2*t. What is the highest common divisor of b and r? 3 Suppose 0 = -y + 4 - 1. Suppose 1 = -y*f + 7. Calculate the greatest common divisor of f and 2. 2 Let b(s) = -s - 3. Let m be b(-15). What is the greatest common divisor of m and 84? 12 Suppose 2*a - 2*s = -2*a - 8, -2*a - 3*s = -4. Let g be (29 - a)*3/5. What is the greatest common factor of 6 and g? 6 Suppose 2*t - 6 = -2. Let b(l) = 6*l + 44. Let h be b(-7). What is the greatest common factor of t and h? 2 Suppose 4*g - 168 = -3*a, 2*g - a - 98 = a. Let q = 6 - 1. Calculate the greatest common factor of g and q. 5 Let i = -1 + -1. Suppose -5*k - 16 - 4 = 0. Let o = i - k. Calculate the highest common divisor of o and 14. 2 Let o(i) = -i + 3*i - 7 + 2*i - 5. Suppose 5*b - 30 = -4*a, -2*a + 2 + 8 = 2*b. Let z be o(b). What is the highest common factor of z and 14? 14 Let b(a) = a - 2*a**2 + 0*a**3 - 4*a**2 + 2*a**3 - a**3 - 1. Let x be b(6). What is the highest common divisor of x and 55? 5 Suppose -5*n - 4*l - 54 = -12, 5*n + 3*l = -39. Let d be n*(1 - 3/(-6)). Let i be (-2)/(((-24)/d)/(-4)). What is the greatest common factor of 24 and i? 3 Suppose -5*b + 40 = -4*z, -b + 28 = 2*z + 6. Calculate the highest common divisor of b and 24. 12 Suppose -5*y + 46 = 5*n - 184, -2*n + 5*y = -64. Suppose -h - 2*h + n = 0. What is the highest common divisor of h and 154? 14 Let m be (-4)/(1/(0 - 6)). What is the greatest common factor of m and 60? 12 Suppose 2*c = -4*o + 116, -3*c - c - 3*o + 207 = 0. Let k be -18*(-2 - (-4)/6). Calculate the greatest common divisor of c and k. 24 Let w(f) = -f**3 + f**2 + f + 16. Let j be w(0). Calculate the greatest common factor of j and 8. 8 Let t be 22/(2*(-2)/8). Let y(x) = x**3 - 6*x**2 - 7*x + 4. Let h be y(8). Let g = h + t. What is the greatest common divisor of g and 8? 8 Suppose -2*v + 4*v + 4*c = 106, -4*c - 179 = -3*v. Let m be 1 - 3/(3/16). Let n be 1/(m/6)*-95. Calculate the greatest common divisor of n and v. 19 Let q(k) = 17*k - 9. Let b be q(9). Calculate the highest common factor of b and 16. 16 Let k be (-1)/(-2) - (-5)/2. Suppose -k = g - 12. Let y = 16 - g. What is the greatest common divisor of y and 7? 7 Let g(r) = -2*r - 5. Let a be g(-5). Suppose 2*d = 3*u + 7, -1 = -d - u + 5*u. What is the highest common divisor of a and d? 5 Suppose 5*k + 4*f = 19, 3*f = -2*k - f - 2. Suppose -3*v - 315 = -8*v. Calculate the greatest common divisor of v and k. 7 Let i = -224 - -370. Suppose -124 = -4*b - 4*k, -5*b + 0*b = -4*k - i. What is the greatest common factor of b and 10? 10 Let c be 1*(4 - 0) + (211 - 8). What is the greatest common factor of 23 and c? 23 Let z(h) = 2*h**3 - 5*h**2 - h + 4. Let o be z(4). What is the highest common divisor of o and 6? 6 Let f = 42 - 25. What is the greatest common divisor of 17 and f? 17 Suppose 0 = -3*v - 50 + 809. What is the highest common factor of 23 and v? 23 Let p be 2 - 0/(8/4). Calculate the greatest common divisor of p and 20. 2 Let s be 1 - (-18 - 2/(-2)). Let g(w) = 44*w**2 - 3*w - 2. Let r be g(-1). Calculate the highest common divisor of r and s. 9 Suppose -3*i - 2*q + 10 = 0, -5*i + 14 = 4*q - 4. What is the greatest common divisor of i and 2? 2 Let d(b) = -b**3 + 6*b**2 - 2*b. Let a be d(5). Suppose 3*l = 56 - 11. Calculate the greatest common factor of a and l. 15 Suppose 3*m - 3*r = 21 - 6, 0 = -5*r. Suppose 26 = u + 6. Calculate the highest common factor of m and u. 5 Suppose -3*d - 42 = -6*d. Suppose -3*g - 7 = 2*x, 3*x = 2*g - 3*g - d. Suppose -5*n = -4*n - 9. What is the greatest common factor of n and g? 1 Suppose 48 = k + 9*o - 4*o, 0 = -4*o + 8. Calculate the highest common factor of k and 38. 38 Suppose x = 56 + 40. What is the greatest common factor of x and 12? 12 Let y(j) = 4*j**3 + 2*j**2 - 2*j. Let w be y(2). Suppose 2*f - 29 = 7. Calculate the greatest common factor of w and f. 18 Let g(n) = -n**3 - 5*n**2 - 2*n. Let k be g(-5). Calculate the highest common factor of k and 50. 10 Suppose 0 = -3*o - l + 46, 0 = 2*o - l + 4*l - 26. What is the highest common divisor of o and 48? 16 Let a = -79 + 93. Calculate the highest common factor of a and 112. 14 Let v = -9 + 13. Suppose 0*x - 3*x + 4*y = -44, 5*y + 22 = x. Calculate the highest common divisor of x and v. 4 Let u(c) = -7*c**2 - c. Let z be u(-2). Let t = 107 + z. What is the highest common factor of t and 9? 9 Suppose -4*m + y + 6 = 0, 0 = 4*m + 5*y - 0 - 18. Suppose -h - 3*g + 127 = -m*g, 152 = h - 4*g. What is the greatest common factor of 12 and h? 12 Let h = -7 + 11. Suppose 3*w + 7 = h. Let l(m) = 5*m**2 + m. Let j be l(w). What is the greatest common factor of j and 1? 1 Let l(v) = 2*v**2 - 2*v + 6. Let i be l(7). Suppose 49 = 5*f + g, -5*g - 9 = -3*f + 26. Calculate the highest common factor of i and f. 10 Let d(c) = -c**2 - 6*c + 3. Let t be d(-5). Let a be (-657
{ "pile_set_name": "DM Mathematics" }
What is the highest common factor of 1045 and 154? 11 Calculate the greatest common divisor of 11 and 7293. 11 Calculate the greatest common divisor of 224 and 15232. 224 What is the greatest common factor of 45 and 155? 5 What is the highest common factor of 833 and 85? 17 Calculate the greatest common divisor of 90 and 6510. 30 What is the greatest common divisor of 849 and 29432? 283 What is the highest common divisor of 125 and 1750? 125 Calculate the greatest common divisor of 42 and 357. 21 Calculate the highest common divisor of 870 and 45. 15 What is the greatest common divisor of 845 and 65? 65 Calculate the highest common factor of 1064 and 56. 56 Calculate the highest common factor of 1820 and 884. 52 Calculate the highest common factor of 22 and 3377. 11 What is the highest common divisor of 56 and 28? 28 What is the highest common factor of 2208 and 64? 32 Calculate the greatest common divisor of 53 and 2491. 53 Calculate the greatest common factor of 30 and 105. 15 What is the greatest common factor of 4 and 7? 1 Calculate the highest common factor of 160 and 1568. 32 What is the greatest common factor of 5 and 1? 1 What is the highest common factor of 530 and 40? 10 What is the highest common divisor of 69 and 483? 69 What is the greatest common divisor of 192 and 120? 24 Calculate the greatest common divisor of 4 and 324. 4 What is the greatest common factor of 25 and 14125? 25 Calculate the greatest common divisor of 84 and 750. 6 Calculate the highest common factor of 16 and 984. 8 Calculate the greatest common factor of 44 and 594. 22 What is the highest common divisor of 72 and 6824? 8 Calculate the highest common factor of 392 and 56. 56 Calculate the highest common factor of 1008 and 204. 12 Calculate the highest common divisor of 395 and 316. 79 What is the greatest common factor of 141 and 5029? 47 What is the highest common divisor of 60 and 170? 10 What is the highest common factor of 66 and 88? 22 Calculate the highest common factor of 66 and 12. 6 What is the greatest common divisor of 152 and 20064? 152 Calculate the highest common factor of 608 and 96. 32 What is the highest common factor of 128 and 64? 64 Calculate the highest common divisor of 646 and 38. 38 What is the greatest common factor of 1102 and 1216? 38 Calculate the greatest common factor of 1043 and 298. 149 Calculate the greatest common divisor of 2860 and 26. 26 Calculate the greatest common divisor of 1141 and 1467. 163 What is the highest common factor of 22 and 55? 11 What is the greatest common divisor of 19177 and 127? 127 Calculate the highest common factor of 2159 and 127. 127 What is the highest common divisor of 24 and 948? 12 What is the highest common factor of 442 and 3332? 34 What is the greatest common divisor of 395 and 15? 5 What is the highest common factor of 294 and 154? 14 Calculate the greatest common divisor of 520 and 40. 40 What is the highest common factor of 144 and 600? 24 What is the greatest common factor of 30 and 1875? 15 What is the greatest common factor of 22 and 99? 11 What is the highest common divisor of 28 and 21? 7 What is the greatest common factor of 110 and 55? 55 Calculate the greatest common divisor of 7 and 49. 7 Calculate the greatest common factor of 5151 and 6. 3 Calculate the highest common divisor of 168 and 728. 56 Calculate the highest common divisor of 12 and 292. 4 Calculate the greatest common factor of 7 and 7840. 7 What is the highest common factor of 20 and 1260? 20 Calculate the greatest common factor of 735 and 8673. 147 What is the greatest common divisor of 345 and 92? 23 Calculate the highest common divisor of 140 and 105. 35 What is the highest common divisor of 37 and 74? 37 Calculate the greatest common divisor of 275 and 725. 25 Calculate the highest common divisor of 3060 and 396. 36 Calculate the highest common divisor of 33 and 264. 33 Calculate the greatest common divisor of 289 and 68. 17 What is the greatest common factor of 4851 and 9? 9 Calculate the highest common factor of 7776 and 36. 36 What is the highest common factor of 3 and 363? 3 What is the highest common factor of 57 and 513? 57 What is the highest common divisor of 3038 and 62? 62 Calculate the highest common factor of 335 and 201. 67 What is the highest common divisor of 28 and 224? 28 Calculate the greatest common divisor of 247 and 38. 19 What is the highest common factor of 408 and 238? 34 Calculate the highest common factor of 44 and 4312. 44 Calculate the greatest common divisor of 87 and 16994. 29 What is the highest common factor of 2322 and 54? 54 Calculate the greatest common divisor of 27 and 2241. 27 What is the highest common factor of 7347 and 186? 93 What is the greatest common factor of 740 and 4995? 185 What is the greatest common factor of 10038 and 168? 42 What is the highest common factor of 4225 and 25? 25 What is the greatest common divisor of 2211 and 33? 33 What is the greatest common divisor of 143 and 3016? 13 What is the highest common divisor of 2490 and 10? 10 What is the highest common factor of 13059 and 9? 9 What is the greatest common divisor of 16 and 112? 16 Calculate the greatest common factor of 5 and 305. 5 Calculate the highest common divisor of 4403 and 119. 119 Calculate the highest common factor of 5663 and 7. 7 What is the highest common divisor of 24 and 560? 8 What is the highest common divisor of 448 and 42? 14 Calculate the highest common factor of 38 and 142. 2 Calculate the greatest common factor of 144 and 2424. 24 Calculate the highest common factor of 18 and 9678. 6 What is the highest common factor of 93 and 589? 31 What is the highest common divisor of 258 and 473? 43 Calculate the highest common factor of 7644 and 156. 156 Calculate the highest common divisor of 1305 and 8613. 261 Calculate the greatest common factor of 123 and 369. 123 What is the highest common factor of 306 and 34? 34 What is the greatest common factor of 1400 and 40? 40 What is the highest common divisor of 1295 and 49? 7 Calculate the greatest common divisor of 6 and 63. 3 What is the greatest common factor of 836 and 264? 44 What is the greatest common divisor of 340 and 748? 68 What is the greatest common factor of 2037 and 21? 21 What is the highest common divisor of 11682 and 297? 99 What is the highest common factor of 280 and 40? 40 What is the highest common divisor of 11 and 418? 11 Calculate the greatest common factor of 24 and 18. 6 Calculate the highest common factor of 3865 and 10. 5 What is the greatest common divisor of 1 and 2939? 1 What is the highest common factor of 165 and 231? 33 What is the highest common divisor of 475 and 304? 19 Calculate the greatest common divisor of 6256 and 230. 46 Calculate the highest common divisor of 2295 and 102. 51 What is the greatest common factor of 30 and 9915? 15 What is the greatest common factor of 462 and 14? 14 Calculate the greatest common divisor of 21 and 413. 7 Calculate the greatest common divisor of 1467 and 279. 9 Calculate the greatest common divisor of 20 and 40. 20 Calculate the greatest common factor of 608 and 380. 76 Calculate the greatest common factor of 12447 and 9. 9 What is the highest common divisor of 72 and 612? 36 What is the greatest common factor of 451 and 779? 41 What is the highest common factor of 242 and 110? 22 What is the highest common divisor of 16 and 22? 2 What is the highest common factor of 154 and 14? 14 What is the greatest common divisor of 56 and 1512? 56 Calculate the highest common factor of 48 and 20. 4 Calculate the highest common factor of 10574 and 933. 311 What is the greatest common factor of 54 and 243? 27 What is the highest common divisor of 355 and 40? 5 Calculate the highest common divisor of 30 and 2190. 30 Calculate the greatest common factor of 1144 and 72. 8 What is the highest common factor of 182 and 156? 26 What is the highest common factor of 13 and 403? 13 Calculate the highest common divisor of 134 and 1675. 67 Calculate the highest common divisor of 108 and 17253. 27 Calculate the highest common divisor of 872 and 8. 8 What is the highest common factor of 11 and 913? 11 Calculate the greatest common factor of 36 and 96. 12 Calculate the highest common divisor
{ "pile_set_name": "DM Mathematics" }
ber? False Suppose -3*a + 11 = s, 0 + 1 = 5*s - 3*a. Suppose -s*o + 82 = -o + v, -5*v = 3*o - 256. Is o prime? False Let j(s) = -17 + 14*s**2 + 22*s + 0*s**3 - 3*s**3 + 4*s**3 - 27*s. Is j(-12) composite? False Let k = 201 - 74. Is k a prime number? True Let m = 6 + -2. Suppose 22 + 6 = m*a. Is a a prime number? True Let n(j) be the second derivative of -13*j**3/6 + j**2 - 3*j. Let r be n(-6). Let d = 115 - r. Is d a composite number? True Let v = -1100 + 1629. Is v a composite number? True Let y(x) = 2*x**2 + 24*x - 7. Is y(-14) a prime number? False Suppose 3*h = 29 + 1. Is (-25)/h*(-708)/10 a composite number? True Let l(r) = r**3 + 3*r**2 + r - 2. Let x be l(-2). Let p(v) = -v**3 + v**2 + 135. Let i be p(x). Let k = i - 56. Is k composite? False Let z(x) = -x**3 - 6 - 7*x - 1 - x**3 - 8*x**2 - 1. Is z(-6) a composite number? True Let w = 354 + -206. Let i = w - 69. Is i a composite number? False Suppose j - 6*c = -2*c + 380, -j = -c - 374. Suppose 6*l - j = 2*l. Suppose -2*r + l = r. Is r prime? True Let c(p) = -19*p**3 - 2*p**2 - 3*p + 5. Is c(-4) a composite number? False Suppose 0 = 14*x - 0*x - 12418. Is x a prime number? True Let f(g) = -24*g - 6. Let h(d) = -d - 1. Let n(m) = -f(m) + 5*h(m). Is n(4) a composite number? True Let q(r) = r**3 - 3*r**2 - 5*r + 3. Let d be q(4). Let n = 13 - 15. Is d/((-3)/(-66)*n) a composite number? False Suppose a + 5204 = 3*w, -4*w = -w - 5*a - 5200. Is w a prime number? False Let s(x) = -x + 83. Let h(k) = -k**2 + 4*k - 3. Let y = 11 - 8. Let b be h(y). Is s(b) a composite number? False Suppose -4*p - 4*j + 32 - 4 = 0, 6 = 3*j. Suppose -q + 0*q - 21 = -p*d, 0 = -4*d + 20. Is 6/q + (-599)/(-2) prime? False Suppose -555 = 6*f - 9*f. Is f composite? True Suppose 2*u = 2400 - 314. Is u composite? True Suppose 5*o - 4039 = 1696. Is o a prime number? False Let g(k) = 8*k + 5. Let j = 9 - 5. Is g(j) a prime number? True Let a(i) = 2*i**3 - 3*i**2 - 5. Let r be a(-4). Is (4 - r) + 1 + 1 prime? False Suppose 3*s = 8*s. Suppose 942 = 6*u - s*u. Is u a composite number? False Let y(t) = -6*t. Let a be y(-1). Suppose -2*b - 2 + a = z, -2*z + 13 = 3*b. Suppose -s - z = 2*v - 84, -2*v - 2*s = -70. Is v prime? False Suppose 162 = 3*l - 123. Let f = -229 + l. Let y = -49 - f. Is y a composite number? True Suppose -2*a - 13 = -a. Let w = -22 - 1. Let s = a - w. Is s a prime number? False Suppose -b = -5*l - 22, 8 = -5*l - 7. Suppose 4*g + 3*q - b = 2*q, g - 3*q - 5 = 0. Suppose g*o + 3*k - 133 = -2*o, 5*o - 170 = -5*k. Is o composite? False Let q(y) = -5*y + 2. Let o(l) = l**2 - 6*l + 1. Let h(v) = 3*o(v) - 4*q(v). Is h(-4) prime? False Suppose -593 = -3*f + j, -f + 0*f = -2*j - 201. Suppose -5*y + 238 = -f. Is y prime? False Suppose -4*t + 2 - 10 = 0, 3*y - 389 = 4*t. Is y composite? False Suppose 4*o - 7 = 141. Let t be (-2 - 4/(-2))/2. Suppose t = -0*u - u + o. Is u a composite number? False Let g(d) = 31*d - 16. Is g(9) composite? False Let p = -10 - -43. Let t be (-2)/(-6) + (-290)/15. Let z = t + p. Is z a composite number? True Suppose 4*x - 4*j + 0*j = 3440, -2*x - j = -1729. Is x a composite number? False Let f be (3/6*0)/(-3). Suppose -3*g = -f*g - 4*k + 1341, 5*g + 2235 = 2*k. Is (-3)/((-18)/g)*-2 composite? False Let u(s) = -s**2 + 7*s - 2. Let v be u(6). Suppose -3*c + 0 = v*q - 10, 2*c - 3*q = -16. Is c*(-393)/6 + 2 composite? True Let w(c) = 3*c - c - 144*c**3 - 3*c. Is w(-1) a composite number? True Let k(b) = -70*b + 5. Let z be k(8). Let o = 825 + z. Suppose 0 = -3*i + o + 3. Is i prime? False Let s be 1 + 3 + (-2)/(-2). Suppose s*w = -0*x + 3*x + 354, -5*x = 15. Is w a prime number? False Let o(s) = 2*s**2 + 29*s + 78. Is o(-17) a prime number? True Let b be 1 + 1 - (-24)/3. Suppose -5*q - 20 = 2*x, -10 - 25 = 5*x + 5*q. Is (18/x)/((-4)/b) composite? True Let a(r) = 36*r**2 - r - 4. Is a(3) composite? False Suppose 6840 = 6*b - b. Let j = b - 959. Is j prime? True Suppose -3*b = -16*b + 43537. Is b composite? True Let b be 1*(419 - (-1 - -3)). Suppose 5*c - 741 = -4*d, 3*c - 31 = d + b. Is c a composite number? False Let x = -3 - -3. Suppose -3*j = -3*o + 2*j + 19, x = 3*o + 5*j + 1. Suppose -c - 6 = -4*p - p, c = o*p - 2. Is p prime? True Suppose 0*b + 3*b = 225. Suppose -6 - 49 = -i. Suppose -5*o + i = 2*n + 10, 2*n - o - b = 0. Is n a composite number? True Suppose 4 + 4 = 4*s. Suppose -s*x + x = -128. Suppose -c - x = -4*p, -3*p + 2*c + 6 = -85. Is p a prime number? False Suppose n + 650 = -n. Let s = n + 548. Is s prime? True Let z(b) = b**2 - b + 123. Is z(0) prime? False Let f be -3*-3*30/27. Suppose 7*n + 141 = f*n. Is n a composite number? False Let y = -56 - -93. Is y a prime number? True Let j be (-1 + 1)/2 - 1. Let t(r) = -204*r - 1. Is t(j) a prime number? False Let z(p) be the third derivative of -p**4/24 + p**3/3 + 4*p**2. Let t be z(-4). Let w(m) = m**3 - 5*m**2 + 2*m + 1. Is w(t) prime? False Is 1/(-2) + (-8223)/(-2) a prime number? True Suppose 6*u + 4 = 2*u - n, -4*u - 4*n + 8 = 0. Let s = u + 4. Is (-1803)/(-27) + s/9 composite? False Suppose 3 = -s + 7. Suppose -s*z - 131 - 555 = -5*c, -2*z = 8. Is c a prime number? False Let o(d) = -d**2 - 40*d + 30. Is o(-27) a composite number? True Suppose -2*f + 2*l = 14, 6*f + 27 = f + l. Let d = f - -8. Suppose -t = -w - w + 26, 0 = 4*w + d*t - 32. Is w composite? False Suppose 2286 = 8*i - 2*i. Is i a composite number? True Let j = 144 - 16. Let x = j - -21. Is x a composite number? False Suppose -4*f - 36 = -6*f. Suppose -4*y + 21 = 3*g, -g + 18 = 2*g + 3*y. Let c = f - g. Is c prime? False Let j be (-2)/(-6) + 5/(-15). Suppose j*w - 3*w = -147. Is w a composite number? True Let p be 14/(-21) - (-11660)/(-6). Is (2 - p)*2/4 a prime number? False Suppose -11*p + 382 = -9*p. Is p prime? True Is (18/15)/(2/55) prime? False Let k = -40 + 117. Is (k/(-14))/(2/(-4)) composite? False Let r(h) be the second derivative of 0 + h - 1/12*h**4 - 5/3*h**3 - 3*h**2. Is r(-7) a composite number? True Is -2 + 405*((-8)/12 - -2) a composite number? True Let r(i) be the first derivative of -i**4/4 - 11*i**3/3 - 3*i**2/2 + 1. Is r(-11) prime? False Let c(v) = v**2 + 5*v + 3. Suppose n + 7 = -3. Is c(n) a composite number? False Suppose -3*b = 4*w - 1052, -2*w = -3*w + 5*b + 240. Suppose 0 = -3*t + d + w, -2*t = -7*d + 2*d - 195. Is t a prime number? False Let t(o) = -4*o - 2. Suppose -5*v + 2*v - 6 = 0. Let c be t(v). Is ((-212)/12)/((-2)/c) a composite number? False Let n(o) = -5*o**3 - 2*o**2 + o - 1. Let w = 4 + -7. Is n(w) a composite number? False Let f(a) = -101*a + 1. Let q be f(-1). Suppose y + y = q. Is y a composite number? True Let c = 9 + -6. Suppose 132 + 297 = c*g. Is g prime? False Suppose 3 = -4*x - 9, s - 14 = 3*x. Suppose -317 = -4*z - 3*y, s*z - y - 178 = 204. Is z a composite number? True Let z be -5*1/((-10)/6). Let o(p) = -2*p + z*p + 39 + 0*p. Is o(0) a composite number? True Suppose -101 = -3*b + s, -2*s + 195 = 3*b + 82. Let h be b + (0 - 2) + 1. Suppose 0 = 4*y - 26 - h. Is y a prime number? False Suppose 0 = -2*w - x + 25, x + x = -6. Let k(a) = 3*a - 16. Is k(w) a composite number? True Suppose 0*p - 2*p + 8 = 0. Suppose 0 = -p*k + 179 + 161. Is k a prime number? False Let i(m) = m**3 + 28*m**2 + 12*m + 5. Is i(-18) prime? False Suppose -3*j = -10*j + 2009. Is j prime? False Suppose -2*t = -3*n - 2*n + 620, t = -5. Let z = n - 55. Is z composite? False Suppose 0 = -3*d - 4*p - 1 + 3, -2*d = p - 3. Suppose 3*f = 3*o + 4*f - 100, -f = d*o - 66. Is o composite? True Suppose 3*y - 56 = -y. Suppose 2 + y = 4*z. Suppose -3*q + 0*h = 4*h - 73, 0 = z*q + 5*h - 96. Is q prime? True Let q = -44 + 171. Is q a prime number? True Suppose -4*k - 5*l = -0*k - 5452, -5*l = 0. Is k a prime number? False Suppose -v - 2*z = 5, 10 = -v - 4*z - 5. Is (v/10)/(2/76) prime? True Is ((-268)/(-2))/(4/2) prime? True Suppose 4*m - 206 = 1150. Is m a composite number? True Suppose -2*n = -149 + 21. Suppose -2*a = -k - n, 2*a - 3*k = -2*a + 130. Is a a prime number? True Suppose -93 = 2*g - 3*g. Is g a composite number? True Let h(p) = 44*p + 5. Let u be h(7). Let m = -76 + u. Is m prime? False Let a(n) = n - 2. Let b be a(5). Let i = b + -1. Suppose 5*j - 178 = -4*p, j + 5*p - i*p = 40. Is j prime? False Let c be -501*(10/(-6) + 2). Let s = c - -6. Is
{ "pile_set_name": "DM Mathematics" }
15*l - 2*l**3 + (l**2 - l**2 + 3*l**3)*(2 + 5 - 4) in the form c*l + i + r*l**2 + z*l**3 and give r. -1 Express 61*h**3 - 122*h**3 - 2*h - h**4 - 3*h**2 + 63*h**3 - 2 in the form b*h + w*h**3 + u*h**2 + y + t*h**4 and give t. -1 Express 4*j**2 + 4*j + 3*j - 19*j - 11*j in the form n*j + v + u*j**2 and give u. 4 Express (-13*c + 2*c - c)*(-2*c**2 - 3 + 3 + (0*c + 0*c - c)*(4*c - 6*c + 3*c) + c**2 - c**2 - c**2) as m*c**2 + n + f*c + g*c**3 and give g. 48 Express -3*k**3 - k**3 + 11*k - 11*k + 1 in the form b*k + m*k**3 + l*k**2 + a and give m. -4 Express -2 + 5 + 0 - 2*q**2 as m + c*q + p*q**2 and give m. 3 Express (-2*l + 4*l + 12*l**2 - 5*l**2)*(l + 0 + 0) as m*l**2 + i*l**3 + s + x*l and give s. 0 Rearrange (3 - 2 + 0)*(-674*f - 925*f + 1259*f) to y + g*f and give g. -340 Rearrange -70*j + 2*j**3 - 69*j + 139*j - 44 to l*j + w*j**2 + y + i*j**3 and give w. 0 Express -204 - 2*n + 403 - n**2 - 188 + (-n + 3*n - 4*n)*(-2*n + 3*n + n) in the form y*n + f + g*n**2 and give y. -2 Rearrange 10*s**2 - 2*s**3 - s**3 - 8*s**2 + 0*s + 3*s to k*s**2 + y + l*s + g*s**3 and give k. 2 Express -340 - l + 131 + 135 in the form b*l + w and give b. -1 Rearrange -17*z + 4*z + 0*z - 47*z to the form j + m*z and give m. -60 Express -4*d**3 + 38 - 3*d + d + 2*d**3 - 13 in the form b + l*d**2 + k*d + c*d**3 and give c. -2 Rearrange 5*w**2 + 0*w**2 + 8*w**2 to the form b*w + n*w**2 + u and give n. 13 Rearrange 2 - 17 + 1359*i - 1361*i to o*i + z and give o. -2 Express -60*w - 41*w - 26*w - 8*w in the form a*w + q and give a. -135 Express -8 - 8*g + 30 + 11*g - 5*g in the form s + p*g and give p. -2 Express -9 + 13 + 3 + 2 - 2*f + 2*f**3 as l*f + z*f**2 + q*f**3 + t and give l. -2 Rearrange (5 + 2 - 2)*(4 - 3 - 3)*(4 - 1 - 1)*(-l - 2*l + 2*l) to the form f*l + v and give f. 20 Express -452 + u - 4*u**3 + 456 + 0*u as c*u**3 + v + p*u + r*u**2 and give p. 1 Rearrange 31 - 31 + 14*a to o*a + r and give r. 0 Express 81*p + p**3 + 79*p - 157*p + p**2 in the form j*p**3 + z + s*p + y*p**2 and give j. 1 Rearrange -5*q**2 + 0*q**2 + 8*q**2 + 11 to the form v*q + b*q**2 + j and give v. 0 Express (0*i + i + 2*i)*(-i**2 + 3*i**2 - 4*i**2 + (2 + 0 - 5)*(-1 - 2*i**2 + 1) - i**2 - 4*i**2 + 3*i**2) as g + v*i + j*i**2 + a*i**3 and give a. 6 Rearrange 1216*j**2 - 1211*j**2 + 5 + 11 to k + q*j**2 + u*j and give q. 5 Express 2*n + 678 - 11*n**2 - 680 - n as b + p*n + g*n**2 and give p. 1 Express -2 - z + 0*z**4 - z**3 - 5*z**4 + 4*z**4 + 4*z**3 in the form n*z**2 + x*z**4 + q + k*z + j*z**3 and give x. -1 Rearrange t + 4*t - 44 - 28 - 4*t to w + m*t and give m. 1 Rearrange -h**3 + 0*h**3 + 3*h**2 - 8*h - h**4 + 10*h + 2*h**3 to the form p*h**2 + q*h + j*h**3 + r + d*h**4 and give d. -1 Express (-3*o + 3*o + o)*(-o**2 + 0*o**2 + 0*o**2)*(-56 + 56 + 183*o)*(-2 - 2 + 3)*(4 - 3 - 3) in the form u*o**2 + t*o**4 + n + j*o**3 + c*o and give t. -366 Express (0*z + 0*z - 2*z)*(-41*z - 72*z - 4*z) as f*z + n*z**2 + y and give n. 234 Rearrange 17*p + 15*p + 5*p - 9*p to the form d*p + f and give d. 28 Express -2*u**2 + 2*u**3 + 5*u**2 - 8*u**3 + 13*u**3 as f + b*u**2 + l*u**3 + z*u and give l. 7 Rearrange (-4 + 4 - 2*s)*(7*s**3 - 50*s + 50*s)*(1 - 1 - 2) to n + l*s**2 + o*s + w*s**3 + r*s**4 and give r. 28 Express 26 - 101*n + 20 - 46 in the form x*n + h and give h. 0 Rearrange 0*o**3 + o**3 + 6 + 0*o**3 - o + o**3 to the form m*o**2 + t*o**3 + r*o + x and give t. 2 Express (0 - 16*n**3 - 1294*n - 1 + 1292*n)*(2 - 2 - 2) as z + j*n + b*n**2 + a*n**3 and give a. 32 Rearrange (-26*y**2 + 25 - 25)*(-4*y + 4*y + 2*y**2 + (-2*y - 3*y + 3*y)*(2*y + 2*y - 6*y)) to the form a*y**2 + b*y**3 + t*y**4 + s*y + o and give t. -156 Rearrange -z + 2 - 3060*z**3 - 3 - 1 + 3059*z**3 to w + s*z + c*z**3 + k*z**2 and give w. -2 Express 30*r**3 + 7*r**2 + 3*r - 13*r**3 - 18*r**3 as f*r**2 + d + m*r**3 + y*r and give m. -1 Rearrange 7*o + 18*o - 44*o - o**3 + 7*o - 2*o**2 to t*o + w*o**3 + c + i*o**2 and give i. -2 Rearrange 23 + 22 + 23*b**2 + 2*b + b**4 - 46 to the form k*b**4 + l*b + h*b**3 + g*b**2 + w and give g. 23 Express 16*q - 15*q**2 - 6*q - 10*q in the form h + t*q**2 + k*q and give t. -15 Express 3*q**4 + 3 - 4*q**3 - 2*q**2 + 2*q**3 - 2 - 3 as w*q**4 + o*q**2 + g + t*q**3 + z*q and give t. -2 Express 9*q**2 - q + q in the form s + j*q**2 + x*q and give j. 9 Rearrange (-3 + q**2 - 4*q**2 + 2)*((-5 + 3 + 0)*(2 - 3 - 1) - 8 - 3 + 2) to the form p*q**2 + f + z*q and give p. 15 Rearrange 19 - 8*p - 19 to the form f*p + l and give f. -8 Express (-3*b**2 + 5*b**2 - 3*b**2)*((-2*b - 5 + 5)*(b + 1 - 1) - 23*b**2 - 19*b**2 + 13*b**2) in the form g*b + p*b**2 + n*b**3 + c*b**4 + l and give l. 0 Express -142*d - 8385 + 8385 in the form q*d + h and give q. -142 Express -42*y + y**3 + 2 + 40*y + 3*y**3 + 3*y**4 in the form w*y**2 + r*y**4 + p*y + u*y**3 + h and give h. 2 Rearrange 734 + 2*r**2 - 361 - 361 + r to the form o*r + j + m*r**2 and give j. 12 Rearrange (1 - 4 + 5)*(2*u**2 - 1 + 2 - 1) to the form q*u + z*u**2 + p and give z. 4 Rearrange (4*n - 3*n + 0*n)*(-14 - 12 + 8) to g*n + z and give g. -18 Rearrange ((-d - d + d)*(1 - 3 + 0) - 18 + 4*d + 18)*(0 + 1 + 1) to s + n*d and give n. 12 Express -224 + 224 - 17*c as h*c + d and give h. -17 Express 3*y**2 - 4*y**2 - y**2 - 5*y + y**2 + 0*y + 4*y + (-2*y**2 + 0 + 0)*(-6 + 1 + 3) in the form l + j*y**2 + z*y and give l. 0 Express (-c - 1 + 1)*(-2*c**2 - 2*c**3 + 2*c**2) - c**3 - 13*c**4 + 0*c**3 + 1565*c**2 - 1566*c**2 as x*c**2 + z*c**3 + h + k*c + l*c**4 and give l. -11 Express -3*x**2 - 1 + 4*x**2 - 4*x**2 - x + 2*x**2 in the form b*x + p*x**2 + g and give b. -1 Rearrange (-b + 3*b - b)*(b**3 - b**3 + 2*b**3) - 80*b + 36*b**4 + 80*b to r + c*b**3 + p*b + w*b**4 + h*b**2 and give w. 38 Express 8*l**2 + l**3 - 3*l**3 + 28 - 32 in the form t*l + k*l**2 + r + a*l**3 and give k. 8 Express -48*x**2 + 2*x - 9*x + 47*x**2 in the form q + z*x + i*x**2 and give i. -1 Express (-4*b**2 + 5*b**2 - 3*b**2)*(-2 + 4 + 1)*(-42 - 11*b + 42) in the form h*b**3 + q + a*b + m*b**2 and give h. 66 Rearrange -r**2 + 33*r - 33*r + 5*r**2 + 2*r**2 - 6*r**2 + (2 - 1 - 2)*(-2*r**2 - r**2 + r**2) to the form a*r**2 + s*r + h and give a. 2 Rearrange -2*z - 6 + 0*z**2 + 2 + 0*z**2 + 2*z**3 + 2*z**2 to the form f*z + t*z**2 + i*z**3 + s and give t. 2 Rearrange -7 - 3 - 4*v**2 - 1 + 10 to a*v**2 + h + d*v and give h. -1 Express (-2 + 2*k - 3*k + 0)*(3*k**3 + 3*k**3 - 2*k**3) as q + z*k**4 + s*k + f*k**2 + g*k**3 and give g. -8 Rearrange -26 - 21 + 2*x**3 + 64*x**2 - 14*x**2 + 46 to the form a*x + j + w*x**3 + b*x**2 and give j. -1 Rearrange -16 + 5*t**3 + 2*t**4 - 2*t**2 + 13 + 0*t**2 to the form w + h*t**4 + n*t**3 + v*t**2 + l*t and give w. -3 Express 6*n**2 - 5*n**4 - 3 - 3*n - 8*n**2 + 2 in the form b*n**3 + c*n**4 + l*n + j + g*n**2 and give g. -2 Express (1 - 1 - 2*c)*(0 - 2 + 1) - 2*c + 1 - 1 + (-3 + 5 - 4)*(2*c + 77 - 77) in the form b*c + l and give b. -4 Rearrange -3*d**4 - d**3 - d**2 + 4*d**2 + 2*d**4 + 2 to the form a + z*d**3 + i*d**4 + y*d + j*d**2 and give a. 2 Express (z - 4*z + 2*z)*(1 - 1 - 2*z) - 75*z - 3*z**2 + 75*z - z**2 + 2*z**2 - 2*z**2 + (4*z - 3*z + z)*(0*z + 4*z - 6*z) as p + r*z + f*z**2 and give f. -6 Rearrange 28 + v - 59 + 214 - 15 to l*v + t and give t. 168 Rearrange (w + 2*w - 19*w)*(-5*w + 2*w + 5*w)*(1 + 0 + 4*w + 0) - 3*w**3 + 0*w**3 + 6*w**3 to b*w + u*w**2 + q*w**3 + g and give u. -32 Rearrange (0 - 4 + 2)*(35 + 8*w**3 - 35) - 3*w**3 - 2*w**3 - 3*w**3 to z + l*w + j*w**3 + y*w**2 and give l. 0 Rearrange (-2*l**2 + l**2 + 9*l**2)*(-2 - 3*l + 0 + 4*l) to a*l**2 + h + x*l + g*l**3 and give a. -16 Express 53*r + 53*r + r**3 - 96*r - 1 in the form z*r**2 + k*r + q + g*r**3 and give g. 1 Rearrange (3*s + 0*s - 4*s)*(74 - 120 + 62) to u*s + n and give u. -16 Rearrange -29*y**2 - 8*y**4 + 29*y**2 + (6*y + 5 - 5)*(2*y**3 - 4*y**3 + y**3) to the form p*y**4 + v + r*y**3 + b*y + k*y**2 and give p. -14 Express (-a - a + 4*a)*(-2 + 2 - 3*a) + (0 + 0 + a**2)*(-1 - 2 + 2) + a**2 - 4*a**2 + 0*a**2 as x*a + r*a**2 + s and give r. -10 Rearrange -2*z + 2*z**2 + 2*z**3 + 2*z + 3*z**3 - 4*z**3 - z**3 + (0*z + 0*z + 2*z**3)*(-2 - 3 + 4) to the form l*z + j*z**3 + q + i*z**2 and give l. 0 Rearrange 7*p**3 + 51 - 51 + (-p + 3*p - 4*p)*(-p**2 + 5 - 5) to the form o + j*p**
{ "pile_set_name": "DM Mathematics" }
/(-12)? False Let i = 9 + 3. Suppose -3*q + 57 = -i. Is 12 a factor of q? False Suppose -2*l + 306 = 3*d + 71, d = 3*l - 380. Let q = l - 75. Is 9 a factor of q? False Let p = 78 + -30. Does 16 divide p? True Is 5 a factor of (-145)/(-15) + (-1)/(-3)? True Suppose 3*f - 90 = -2*f. Does 10 divide f? False Let n = -26 - -38. Is n a multiple of 4? True Let v be (-2)/(1/(6/(-4))). Let z = 5 - v. Suppose -5*t - 5*g = -3*g - 105, z*g = 0. Is 11 a factor of t? False Let v = -25 - -57. Is 8 a factor of v? True Let d be (1 - 15)/(1/2). Let b = 56 + d. Does 20 divide b? False Suppose d + g - 13 = -2*g, -4*d + 2*g + 52 = 0. Is d even? False Let t(s) be the second derivative of -s**5/20 + s**4/6 + s**3/6 - 4*s. Let v be t(2). Suppose -l + 30 = 2*h - v*l, -h + 20 = 2*l. Is 12 a factor of h? False Suppose -2 = 4*s - 22. Suppose 110 = s*l - 115. Is 9 a factor of l? True Let p(o) = -2*o. Let c be p(-6). Let b = c + -7. Is b even? False Let k(t) = 10*t + 3. Let y be k(4). Let b = y + -23. Is 19 a factor of b - (0 + 0 + 1)? True Let p(r) = -r + 52. Does 23 divide p(6)? True Let m be ((-64)/40)/((-4)/270). Suppose -5*t + t = -m. Does 9 divide t? True Suppose -3*j - 2*h + 69 = 0, 3*j + 117 = 8*j + 4*h. Is 21 a factor of j? True Let l(f) = 14*f + 1. Let n(j) = 1. Let v(m) = l(m) + n(m). Does 15 divide v(2)? True Let b be (24/20)/(6/40). Let y = -4 + b. Suppose -y*z + 32 = -w, -4*w + 20 = 5*z + 1. Is z a multiple of 7? True Suppose 4*z - 5*z + 2*l - 24 = 0, 5*z + 5*l + 60 = 0. Let v = 0 - z. Does 8 divide v? True Let j(y) = 6*y**2 + y + 1. Is j(-1) a multiple of 3? True Let v(x) = -x**2 - 2*x + 6. Let g(d) = d**2 + 3*d - 5. Let r(f) = 3*g(f) + 2*v(f). Let s be r(-6). Suppose 69 = -0*l + s*l. Does 9 divide l? False Let t(j) = j**3 - 3*j**2 - 2*j - 5. Let d be t(4). Suppose d*p = -2*p + 120. Let q = 34 - p. Does 5 divide q? True Let g(w) = 2*w**2. Is g(5) a multiple of 29? False Let x(d) = d**3 - 7*d**2 + 7*d + 3. Let q = 3 - -3. Is x(q) a multiple of 9? True Suppose 4*i + 465 = -163. Let w = 307 + i. Suppose 5*a - w = -0*a. Is a a multiple of 13? False Let v(a) be the third derivative of -a**6/120 - a**5/6 - 5*a**4/12 + 5*a**3/6 - 11*a**2. Let g = -13 + 4. Is 7 a factor of v(g)? True Suppose 0 = -4*s + 3*s - 40. Is 12 a factor of 1/(3/(-1 - s))? False Suppose 0 = -l - 2*l + 15. Let c = -9 - -13. Suppose c*t = l*n + 34 + 9, 3*t - 5*n - 31 = 0. Is 6 a factor of t? True Let y(w) = -2*w - 5. Suppose -3*a = 3 + 21. Is 11 a factor of y(a)? True Suppose t + 3*t - 60 = 0. Let l = t - 24. Let c = l - -30. Is 7 a factor of c? True Let y = -2 - -3. Let h = 3 - y. Suppose 4*v + h*n - 86 = 0, 5*v - 3*n - 130 = 2*n. Does 11 divide v? False Let x = 170 - -35. Is x a multiple of 41? True Let o be 1*7 + 6/(-3). Suppose j = y - 21, 2*y = -3*j + o + 17. Is y a multiple of 6? False Let q = 5 - 42. Let v = 130 + q. Is 31 a factor of v? True Suppose -4*i = -2*x - 270, 0*x = -x - 1. Does 30 divide i? False Suppose -b - 14 = -5*q, 3*q + 16 = q - 5*b. Does 2 divide q? True Suppose f + 4*f = 0. Let x = 0 + f. Is 7 a factor of 2*9 + 0 + x? False Let f be (-3)/(-6)*(5 + -1). Suppose 0*c - 56 = -f*c. Does 7 divide c? True Suppose 0 = -4*v + 4*k + 296, 0*k = -4*v + 5*k + 301. Is 24 a factor of v? False Let d(n) be the third derivative of n**5/60 + n**4/24 - n**2. Is d(4) a multiple of 20? True Let c(i) = -4*i**2 + 5*i**2 - 4 + i + 0*i. Let j be c(3). Does 12 divide 110/9 - j/36? True Suppose 3*c + 2*l = 134, 3*l + 140 = 3*c - 4. Is c a multiple of 21? False Let u(m) = 6 - 1 + 12*m + 2 - m**2. Is u(11) a multiple of 9? True Let a(r) = 0*r - r**2 + 2*r - 10*r. Let l = -2 - 4. Is a(l) a multiple of 6? True Let r = 9 + 4. Let c = r + 6. Does 19 divide c? True Let a = 231 + -127. Is a a multiple of 18? False Let t = -4 - -7. Suppose -3 = -3*m + 4*h, -t*m + h + 6 = -2*h. Is m a multiple of 2? False Let b(i) = 6*i - 4. Let s = 3 + -7. Let a = 7 + s. Does 7 divide b(a)? True Suppose -i + 2*s = -0*i - 20, -3*i = 5*s - 82. Does 12 divide i? True Suppose 0 = 4*h - 5*h + 7. Let t = h + -5. Suppose 0 = -4*i - t*w + 102, -4*i = -5*w + 3*w - 122. Is 21 a factor of i? False Suppose -5*u - 19 = -4, -4*m + 88 = -4*u. Is m a multiple of 18? False Let t(r) = -r**2 - 14*r + 2. Let l be (2 - 4)/(2/7). Is 13 a factor of t(l)? False Let m(q) = -5*q + 1. Is 4 a factor of m(-2)? False Let r(f) = 2*f - 5. Let h be r(4). Suppose 2*u = h + 7. Suppose u*k = 56 + 59. Is 8 a factor of k? False Does 18 divide -7*(-3 - (-132)/(-28))? True Let w = -392 + 585. Is w a multiple of 40? False Suppose 4*g - 2*k - 154 = 0, -k + 3 = 2. Does 11 divide g? False Suppose 0 = 2*y - y. Suppose y = -5*q + 238 - 73. Does 11 divide q? True Let g(p) = p**3 + 9*p**2 + 7*p - 6. Let y be g(-8). Suppose y*n + 149 = 5*u, 2*u + 425 = -5*n + 4*u. Let x = -48 - n. Is 16 a factor of x? False Suppose 3*g - 3*m = -m + 10, -m + 16 = 2*g. Does 5 divide g/8 - 17/(-4)? True Let k be ((-32)/(-4))/(1/16). Let a = k + -85. Does 22 divide a? False Let d = 50 - -55. Suppose d = 8*i - 3*i. Is i a multiple of 12? False Let r = -185 - -265. Is 18 a factor of r? False Suppose 5*q + 5*m = 20, 0 = 5*q - 7*m + 2*m + 20. Let r(c) = c - 13. Let x be r(11). Is 12 a factor of 18 + (-3 - (x + q))? False Let y = -7 - -7. Suppose u - 5*u + 8 = y. Suppose -51 = -3*s + 2*v + 57, -70 = -u*s + 2*v. Is 17 a factor of s? False Let v(t) = -33*t**2 + 2*t - 1. Let o be v(2). Let h = -64 - o. Is 13 a factor of h? True Suppose -2*g - 12 = -3*g - 4*l, l = 4. Let x(i) = -i**2 - 5*i. Let u be x(g). Is 22 a factor of (u + 14)*10/4? False Let d = -17 + 3. Let b = d + 23. Is 9 a factor of b? True Let j(w) = 2*w**2 - 4*w + 2. Let d be j(2). Let i be (-23*d)/(1/5). Does 13 divide 4/18 + i/(-18)? True Suppose -3*k - 2*g + g + 108 = 0, 4*k - 3*g - 144 = 0. Is k/(2 + 1)*2 a multiple of 12? True Let u be 5*-3*(-4)/20. Suppose v + c = -u*v + 196, 3*v = 5*c + 124. Is v a multiple of 16? True Suppose -11 = i - 4*b, 3*i + 0*b = -2*b + 37. Does 9 divide i? True Suppose -r = -5*r + l + 139, -l + 176 = 5*r. Let w = 70 - r. Does 12 divide w? False Let d(l) = l**2 - 4*l + 3. Let a = -5 + 9. Let r be d(a). Suppose -r*p + 0*p = -57. Does 13 divide p? False Let f(x) = x + 2. Let g be f(5). Suppose -2*i + g = 55. Is (18/i)/(1/(-28)) a multiple of 16? False Let q be ((-1)/(-4))/((-2)/(-16)). Suppose 4*v = q*v + 102. Suppose 0 = -f - d + v, f - 2*d = 3*d + 21. Is f a multiple of 20? False Let n(u) = -10*u + 12. Let q be n(-10). Suppose -2*m + q = 2*m. Is m a multiple of 7? True Suppose 2*r - 94 = -m, 3*m + m = -3*r + 351. Suppose c - 3*c = -m. Is 14 a factor of c? True Let h(c) = -c**3 + c**2 + 2*c - 1. Let o be h(3). Let w(g) = g**2 - g + 32. Let v be w(0). Let r = o + v. Is r a multiple of 19? True Does 28 divide (-13 + 111)/((-1)/(-2))? True Suppose -3*d + 4*i = 8*i - 217, 2*d - 5*i - 183 = 0. Does 24 divide d? False Let j(n) = n**2 + 6*n - 2. Is 6 a factor of j(5)? False Let o be -2 - 9 - (-2 + 1). Let y be 102/(-4) + 2/(-4). Let w = o - y. Does 9 divide w? False Suppose -5*v + 46 = -0*v + o, -4*v + 28 = 3*o. Let d = v + -14. Let u = 15 + d. Is 9 a factor of u? False Suppose 351 = 3*a - 7*a + 3*h, 0 = -5*a - 4*h - 400. Let p be (15/(-3) - -2) + -127. Let s = a - p. Is s a multiple of 20? False Let y = 166 - 90. Is 12 a factor of y? False Let s(v) = -v - 2. Let f(p) = -p - 3. Let y(d) = -3*f(d) + 4*s(d). Is 9 a factor of y(-8)? True Suppose 6 = 4*a + 2*h - 12, 9 = 4*a - h. Suppose j = a + 89. Is j/6 - (-8)/12 a multiple of 16? True Let q be (2 - -1)/(6/16). Let j = q - -16. Is j a multiple of 12? True Let a(n) = 13*n**3 - n**2 + n - 1. Is a(1) a multiple of 12? True Suppose 3*l - 4 = 5. Suppose -l*v + 23 = 4*j, 5*v - 7 + 27 = 5*j. Suppose 3*p + j*n = -2 + 38, 0 = -2*p - 5*n + 29. Is p a multiple of 2? False Let r = 13 + -8. Suppose -r*s = -2*s. Suppose i + 69 = 3*t, 63 = -s*t + 2*t + 5*i. Does 8 divide t? True Let a = -13 - -4. Let h = a - -16. Is h a multiple of 3? False Suppose 4*p = 2*o, 3*p + 4*o + 11 = 33. Suppose -43 = -p*y + 7. Is y a multiple of 13? False Let f(k) = 1 + 2 - 3*k + 0*k**2 + k**2 + 0*k. Let t be f(3). Suppose 3 = t*s, -3*s + 10 + 31 = 2*u. Is u a multiple of 11? False Let d(g) = -3*g + 4. Let y be d(-7). Does 20 divide (-1)/(2 - 51/y)? False Let b be (1 + 3/(-2))*-12. Is (1 + b)*6 + 3 a m
{ "pile_set_name": "DM Mathematics" }
econds are there in 0.1016681 hours? 366.00516 What is 0.1975926mg in nanograms? 197592.6 What is 1/10 of a millimeter in nanometers? 100000 What is twenty-one fifths of a millisecond in microseconds? 4200 Convert 57812.01 millilitres to litres. 57.81201 How many nanoseconds are there in 0.239089 microseconds? 239.089 What is 299783.7l in millilitres? 299783700 What is 53.28248 nanometers in meters? 0.00000005328248 What is 3/25 of a litre in millilitres? 120 What is 97349.45ug in milligrams? 97.34945 What is 40271.76 millennia in decades? 4027176 What is three eighths of a hour in seconds? 1350 How many centimeters are there in 9/16 of a kilometer? 56250 What is 41.66396mg in tonnes? 0.00000004166396 Convert 887579.2um to nanometers. 887579200 How many years are there in 4.704475 centuries? 470.4475 Convert 88.271us to milliseconds. 0.088271 What is 59/5 of a tonne in kilograms? 11800 Convert 76.86331 years to millennia. 0.07686331 How many months are there in 7/2 of a year? 42 Convert 0.2910324m to nanometers. 291032400 How many centimeters are there in 1.8444 nanometers? 0.00000018444 What is eleven halves of a gram in milligrams? 5500 What is 7.606873 decades in centuries? 0.7606873 How many nanometers are there in 34.76905km? 34769050000000 What is 29.26339 decades in years? 292.6339 What is one tenth of a microsecond in nanoseconds? 100 What is fifty-one halves of a micrometer in nanometers? 25500 Convert 0.47641 nanometers to centimeters. 0.000000047641 What is five quarters of a millimeter in micrometers? 1250 What is 546.9821 years in decades? 54.69821 What is 1/10 of a millennium in centuries? 1 What is 65.94788 years in months? 791.37456 What is 1/5 of a litre in millilitres? 200 Convert 373.029mg to grams. 0.373029 What is 61497.32 weeks in hours? 10331549.76 How many grams are there in 17/4 of a kilogram? 4250 How many years are there in seven halves of a century? 350 What is twenty-five quarters of a litre in millilitres? 6250 How many micrometers are there in one twentieth of a centimeter? 500 Convert 0.6130949g to micrograms. 613094.9 What is 80169.94 litres in millilitres? 80169940 What is 186181.5ml in litres? 186.1815 Convert 42326.49nm to meters. 0.00004232649 What is 728352.8 millimeters in meters? 728.3528 How many millilitres are there in seven quarters of a litre? 1750 What is 322416.6 millennia in years? 322416600 Convert 1727.5311 months to years. 143.960925 What is three tenths of a kilometer in centimeters? 30000 What is 8323.241 years in decades? 832.3241 How many micrometers are there in 440.4661 centimeters? 4404661 Convert 1.251519um to meters. 0.000001251519 How many seconds are there in 28/3 of a minute? 560 How many grams are there in 517.3558 micrograms? 0.0005173558 Convert 0.1589465 decades to centuries. 0.01589465 Convert 58.6003t to milligrams. 58600300000 How many millimeters are there in 295.5994m? 295599.4 How many milliseconds are there in 1/4 of a second? 250 Convert 2383.388kg to nanograms. 2383388000000000 What is 3/10 of a centimeter in micrometers? 3000 What is 3/10 of a litre in millilitres? 300 How many centuries are there in 1/10 of a millennium? 1 How many micrometers are there in 5/8 of a millimeter? 625 What is 9.719223kg in nanograms? 9719223000000 How many years are there in 2.8654677 months? 0.238788975 What is 72.05785 nanograms in kilograms? 0.00000000007205785 What is fifty-one halves of a kilometer in meters? 25500 Convert 604.4239 days to seconds. 52222224.96 How many litres are there in 98.92073 millilitres? 0.09892073 What is 0.8536644 months in years? 0.0711387 What is 47/4 of a litre in millilitres? 11750 What is twenty-five halves of a micrometer in nanometers? 12500 How many microseconds are there in five eighths of a millisecond? 625 How many months are there in 3896.33 years? 46755.96 How many milligrams are there in 0.4505606 kilograms? 450560.6 How many months are there in 3/8 of a century? 450 How many nanoseconds are there in 0.7145389 days? 61736160960000 What is 2/75 of a millennium in months? 320 How many micrometers are there in 64910.2km? 64910200000000 What is 1.8321489us in minutes? 0.000000030535815 Convert 6.526951us to seconds. 0.000006526951 How many millilitres are there in 7/2 of a litre? 3500 How many months are there in twenty-one halves of a year? 126 How many nanometers are there in 392.6976m? 392697600000 Convert 30.04262 micrometers to meters. 0.00003004262 What is 11/2 of a centimeter in millimeters? 55 What is 6/25 of a millennium in decades? 24 What is 27/5 of a millisecond in microseconds? 5400 Convert 32519.22ml to litres. 32.51922 How many months are there in nineteen quarters of a century? 5700 What is 13/4 of a kilogram in grams? 3250 How many grams are there in 49756.61ug? 0.04975661 What is fifty-five halves of a litre in millilitres? 27500 How many minutes are there in 1/4 of a hour? 15 How many meters are there in thirty-three fifths of a kilometer? 6600 What is 21/2 of a litre in millilitres? 10500 How many years are there in 93.39796 decades? 933.9796 What is seven thirds of a century in months? 2800 How many tonnes are there in 65.71103 micrograms? 0.00000000006571103 How many months are there in 5.930071 decades? 711.60852 What is 18/5 of a gram in milligrams? 3600 What is thirty-seven halves of a meter in centimeters? 1850 What is 50173.01 litres in millilitres? 50173010 How many microseconds are there in eleven halves of a millisecond? 5500 What is 11/8 of a microgram in nanograms? 1375 What is 43.6538mg in tonnes? 0.0000000436538 How many months are there in 7/6 of a millennium? 14000 How many nanometers are there in 28662.39um? 28662390 Convert 2.169429 months to decades. 0.018078575 What is three eighths of a litre in millilitres? 375 How many millilitres are there in eleven halves of a litre? 5500 Convert 32.5755108 minutes to weeks. 0.0032316975 What is 70.464744 seconds in hours? 0.01957354 How many seconds are there in fourty-five quarters of a minute? 675 How many nanograms are there in thirty-one fifths of a microgram? 6200 What is one twentieth of a millimeter in nanometers? 50000 Convert 937.3845 kilograms to tonnes. 0.9373845 What is eight fifteenths of a minute in milliseconds? 32000 What is 281.70312 months in years? 23.47526 How many millilitres are there in eleven halves of a litre? 5500 How many millilitres are there in fifteen quarters of a litre? 3750 How many millilitres are there in 796998.1 litres? 796998100 What is 0.9183906 weeks in days? 6.4287342 What is 3/5 of a century in decades? 6 How many meters are there in 955.8679cm? 9.558679 What is 0.616505 litres in millilitres? 616.505 How many meters are there in twenty-seven halves of a kilometer? 13500 How many millilitres are there in 0.8268392l? 826.8392 How many nanograms are there in seven halves of a microgram? 3500 What is 640.9474 weeks in days? 4486.6318 How many hours are there in 11/4 of a week? 462 What is 1/5 of a microgram in nanograms? 200 Convert 7907.558 decades to years. 79075.58 How many seconds are there in 0.326008 microseconds? 0.000000326008 Convert 86.82526 millennia to centuries. 868.2526 What is 11/10 of a day in minutes? 1584 How many millilitres are there in 7/4 of a litre? 1750 How many minutes are there in 20/9 of a week? 22400 What is 51/8 of a millennium in months? 76500 How many months are there in one sixth of a year? 2 What is 9/10 of a day in seconds? 77760 How many milligrams are there in 8008.659g? 8008659 Convert 73369.12 nanograms to milligrams. 0.07336912 What is 6/25 of a litre in millilitres? 240 Convert 7.957298 litres to millilitres. 7957.298 What is 1/28 of a week in seconds? 21600 What is 8.488628 litres in millilitres? 8488.628 How many nanometers are there in 932946.7 millimeters? 932946700000 How many months are there in twenty-nine halves of a century? 17400 How many millilitres are there in 6/5 of a litre? 1200 What is 97.45266 years in decades? 9.745266 How many minutes are there in 4/3 of a week? 13440 How many microseconds are there in 59911.91 nanoseconds? 59.91191 Convert 43.3799 weeks to days. 303.6593 What is 426.912 millilitres in litres? 0.426912 How many milligrams are there in five quarters of
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) 1/2 (b) 2505 (c) -9 a Which is the third biggest value? (a) 12 (b) -135 (c) -3 (d) -1 (e) -3/8 d What is the smallest value in 3/11, -260, -25? -260 Which is the third biggest value? (a) -0.1 (b) 95 (c) 0.02 (d) -5 (e) -0.4 a Which is the third biggest value? (a) 3038 (b) 1 (c) -2/3 (d) -5 c Which is the fourth smallest value? (a) 0.26 (b) 4 (c) 2/9 (d) 0.96 b Which is the fifth biggest value? (a) 0 (b) -0.06 (c) -5/2 (d) -2/13 (e) -13 e Which is the sixth biggest value? (a) -1.2 (b) -0.4 (c) 1/6 (d) 4 (e) -5 (f) 0.425 e What is the third biggest value in -1184/17, -0.8, -5? -1184/17 Which is the third smallest value? (a) 2/29 (b) 526/7 (c) -1/16 b Which is the third smallest value? (a) -0.21 (b) -0.3 (c) 85.88 c What is the fifth biggest value in 2/13, -0.1, -2/5, -8/9, 1, 2? -2/5 Which is the second smallest value? (a) -71 (b) -0.9 (c) -6 c What is the second smallest value in -0.09, -3, 6/1891? -0.09 Which is the biggest value? (a) 1/4 (b) 27249 (c) 4 (d) -1.1 b What is the biggest value in -18, 5, -61? 5 Which is the second biggest value? (a) -5 (b) 14 (c) 5 c Which is the smallest value? (a) 9.743 (b) 0.5 (c) 4 b Which is the fourth smallest value? (a) -6 (b) 0.1 (c) 3 (d) 1/2 (e) 5/3 e Which is the second biggest value? (a) -5 (b) 0.2 (c) 1 (d) 14 (e) 2/7 c What is the fifth smallest value in -1/9, 2/3, 0.74, -15, 4? 4 What is the fourth smallest value in -4, -0.2, -12/5, -74? -0.2 Which is the biggest value? (a) 3 (b) -0.1 (c) 14570 c Which is the fourth biggest value? (a) -97 (b) -4 (c) -1.39 (d) -2 a Which is the second biggest value? (a) -3/16 (b) -3 (c) -22 (d) 8 a Which is the fifth smallest value? (a) 158/269 (b) -2/7 (c) 4/5 (d) 5 (e) 0.4 (f) 0.5 c Which is the second biggest value? (a) 2/11 (b) 4/3 (c) -1 (d) 0.1 (e) -9/26 a What is the fourth smallest value in -0.3, 0.511, 0.1, 1.9? 1.9 Which is the biggest value? (a) -0.499 (b) 0.1 (c) -5/7 (d) -2 (e) 2 (f) -3/2 e Which is the third biggest value? (a) -0.2 (b) -2 (c) -32 (d) 0 (e) -5/3 (f) -0.04 a What is the biggest value in 1/4, 3/5, 176, -1, 19/14? 176 Which is the fourth smallest value? (a) -4 (b) 4 (c) 1 (d) 0 (e) -32 c What is the second biggest value in -0.04, -4, 0.9, -1, 27, -64? 0.9 Which is the third smallest value? (a) -6 (b) 2/749 (c) 1/3 c Which is the third smallest value? (a) -5/6 (b) 11 (c) -26 (d) 4 (e) 54 d What is the second smallest value in -149/2, 51, -1, -3? -3 What is the second biggest value in -4/39, 3, 0.01, 1/2? 1/2 What is the third biggest value in -4, 18, 8/5, 0? 0 What is the biggest value in 0.4, -504, 8.3? 8.3 What is the smallest value in 17, 2/31, 109, 0.3, 5? 2/31 What is the second biggest value in -5, -15.54, 369? -5 Which is the second smallest value? (a) -3 (b) 67/543 (c) 7 b What is the fourth smallest value in -12, 3, -1, 353? 353 What is the third biggest value in 2/13, -0.0027, -1, -2, 4? -0.0027 Which is the third biggest value? (a) 3.2 (b) 0.064 (c) -3 c Which is the second biggest value? (a) 9 (b) -0.068 (c) -13 b What is the fourth biggest value in 5, 2, -14, 0.5, -4/33? -4/33 What is the second biggest value in -332, -1, -4, 2/3, -2/133? -2/133 What is the third biggest value in -1451, -0.3, 2? -1451 What is the third biggest value in -2/5, -10/91, -7/71? -2/5 Which is the biggest value? (a) -5 (b) 12 (c) 15 (d) 0.04 c What is the fourth smallest value in 8/2699, 3, 4, -1, -1/3, 1/6? 1/6 Which is the smallest value? (a) -5/7 (b) -38/5 (c) 0.9 b Which is the smallest value? (a) 13/11 (b) -2/3 (c) 0.45 b What is the smallest value in -241, 1, 92? -241 Which is the fourth biggest value? (a) -3/2 (b) 195 (c) -7/6 (d) 1/4 (e) 0.4 (f) -1 f Which is the third smallest value? (a) -3/5 (b) -1/4 (c) -1/44 (d) -4 (e) 1 b What is the biggest value in -1/21, 43, -2/3, -1/2? 43 What is the fourth smallest value in -1, -0.6, -1/6, 2/3, 1747? 2/3 Which is the smallest value? (a) -1/58 (b) -0.242 (c) -1/5 b Which is the sixth biggest value? (a) 5 (b) 2 (c) -2 (d) 0.4 (e) 371 (f) 4 c Which is the third smallest value? (a) -7/8 (b) 0 (c) -46 b What is the second biggest value in -5, -22, -402? -22 Which is the third smallest value? (a) -5 (b) 1/6 (c) -7.1 (d) -4/11 (e) 2/53 d Which is the fifth biggest value? (a) -288 (b) 1/6 (c) -3 (d) 0.2 (e) -4 a Which is the second smallest value? (a) 541 (b) 3 (c) 0.3 (d) -3 (e) 2/17 (f) -2/19 f What is the fifth biggest value in -12, 0, 219, -0.3, -2/3, 3? -2/3 Which is the smallest value? (a) -7 (b) 30160 (c) -0.2 a Which is the fifth smallest value? (a) 1/24 (b) -2 (c) -18/11 (d) 0.4 (e) 4 (f) -0.4 d Which is the second smallest value? (a) -6/7 (b) 69/20 (c) 7 b What is the second biggest value in -30, 0.06, -2.28? -2.28 Which is the second smallest value? (a) -8/3 (b) -1/10 (c) 11.43 (d) 2/5 b What is the second biggest value in 2, -1/6, -759/8, -0.5, 0.2, -4? 0.2 What is the sixth smallest value in 21, 5/6, 3, 3/4, -0.5, -2.1? 21 Which is the third biggest value? (a) 103 (b) 2/7 (c) 1/8 (d) 4/3 (e) -1/4 b What is the third biggest value in 4, -286, 0.926? -286 Which is the third biggest value? (a) -8/5 (b) 1 (c) 1659/5 (d) 0.3 (e) 0.4 e What is the third smallest value in 0.5, -16.0245, 0.1? 0.5 What is the second biggest value in -71, -6, -0.5? -6 Which is the fourth smallest value? (a) 4 (b) -0.141 (c) -46 (d) -2/17 (e) -0.09 e Which is the biggest value? (a) -2615 (b) -0.05 (c) 1 (d) 0 c What is the fourth smallest value in 1.25, 1/2, 1.6, 0.6? 1.6 Which is the third biggest value? (a) 0 (b) -19 (c) 1572 b Which is the smallest value? (a) -0.3 (b) 1 (c) 4 (d) 0 (e) 759 (f) -4/5 f Which is the fourth smallest value? (a) -1/4 (b) 13 (c) -199 (d) 2 b What is the fourth biggest value in -2/7, -560, 0.4, -4? -560 Which is the fifth biggest value? (a) 0 (b) 3 (c) -31/2 (d) 0.11 (e) -10.5 c What is the fifth smallest value in 1/4, 2, -1/5, 984, -1? 984 Which is the second smallest value? (a) -1.3 (b) -0.2 (c) -0.092 (d) -4 a Which is the third smallest value? (a) 0 (b) 2212 (c) -3/5 (d) 2/21 d What is the second smallest value in -11.7, -115, 2/9, -1/2? -11.7 What is the third smallest value in -50/21, -10, 41? 41 What is the third biggest value in -0.6, -50, 0.2, -0.0033? -0.6 Which is the fifth biggest value? (a) 473 (b) 10 (c) 2/11 (d) 1 (e) -1 (f) -2 e What is the smallest value in 1/7, -1, 74/13? -1 What is the third biggest value in 0.3, -19.5, -29.6, -3? -19.5 Which is the fourth smallest value? (a) -0.13 (b) 1 (c) 2/3 (d) -146 (e) 0.3 c What is the third biggest value in -1/5, 26, 41/8? -1/5 Which is the fourth smallest value? (a) 2 (b) -2 (c) -4 (d) 1/5 (e) 0.3 (f) 88997/2 e Which is the fourth smallest value? (a) -181 (b) -2/9 (c) 1 (d) -5 (e) -2/55 e Which is the fifth smallest value? (a) 3 (b) 0 (c) 0.0358 (d) -5 (e) -3/2 (f) -1 c What is the third biggest value in -1/3, 0.01, 1630? -1/3 Which is the biggest value? (a) -2 (b) 5 (c) -172599 b Which is the biggest value? (a) -30 (b) -2.2 (c) -0.4 (d) -1/2 (e) -0.3 e Which is the smallest value? (a) 0.3 (b) -3/4 (c) -28 (d) -4 c What is the biggest value in 1, -0.09, -815, 9, 4? 9 What is the second biggest value in 7.395, -0.58, -0.5? -0.5 Which is the smallest value? (a) 2/13 (b) -1/4 (c) 7641 b What is the third smallest value in -26, -2/5, -2/3, 2/7, -2/25, 2/5? -2/5 Which is the biggest value? (a) 4 (b) 3 (c) -1/34 (d) -3/2 (e) 0.4 (f) 1/12 a What is the fifth biggest value in 0.7, -94, -0.4, -3/5, 1? -94 What is the second smallest value in 1, 132, 20, -1/3? 1 What is the biggest value in 0.764, -0.1, -14? 0.764 What is the fourth smallest value in 5, -1/3, -1, 0.04, 26? 5 What is the third biggest value in -0.021, -3, 2.1? -3 Which is the smallest value? (a) -1 (b) 0.2 (c) 4 (d) -41 (e) -48 (f) -10 e What is the biggest value in 3.7, 0, 74.9? 74.9 Which is the second biggest value? (a) 12 (b) -7174 (c) -0.5 (d) -3/8 d What is the fourth smallest value in -0.1, -3, 4.27, 2? 4.27 What is the smallest value in 9/4, -3, 0.5, 2/7, 3, 19? -3
{ "pile_set_name": "DM Mathematics" }
s k(8) prime? True Let u(r) = 13*r**2 - 4*r - 6. Is u(-5) composite? True Let v(d) = d**2 + 5*d - 5. Let n be v(-6). Let g = 6 + n. Is g a prime number? True Suppose 4*c = -3*w + 3*c + 13, 0 = 5*w + 2*c - 20. Let f be 16/7 + w/(-21). Suppose 0 = -4*j - f*y + y + 135, 5*y - 45 = -2*j. Is j prime? False Let a(q) be the third derivative of -7*q**4/8 - 7*q**3/6 + 2*q**2. Let j be a(-5). Suppose 0 = 5*r - 3*r - j. Is r composite? True Is 1/(-8) - (-54334)/112 prime? False Suppose 2*p + 29 = -2*l + 5*p, -2*l + 11 = 5*p. Let h = 21 + l. Is h a prime number? False Suppose 0 = -0*v + 3*v - h + 175, -h - 173 = 3*v. Let l(x) = -17*x - 7. Let r be l(-6). Let w = v + r. Is w prime? True Let g be (9/(-15))/(1/(-5)). Suppose -1453 = -g*j - 2*k, -3*j + k = 6*k - 1441. Is j a prime number? True Let w(q) = -q**3 + q + 2. Let k(j) = -j**3 + 5*j**2 - j + 5. Let d be k(5). Let r be w(d). Is (4/r)/((-4)/(-78)) a composite number? True Suppose 3*q = 5*l + 231, q + 4*l = -l + 97. Let b = q - -367. Is b prime? True Suppose 953 = -5*l + q, -5*q + 775 = -l - 3*l. Let x = l + 353. Is x a prime number? True Suppose -2*a = -11*a + 2943. Is a a prime number? False Let g(k) = 4*k**2 + 4*k + 23. Is g(6) prime? True Let o = 5 - -1. Suppose -y + 47 = 3*s, s = 5*y + o*s - 285. Let m = -43 + y. Is m prime? True Let l = 7 + -7. Suppose i + l*i - 249 = 0. Suppose 3*g - i = -0*g. Is g a prime number? True Suppose t = -5*z + 200, -6*t + 8*t = -4*z + 166. Is z prime? False Suppose -238 = -3*q + q. Is q a composite number? True Suppose -244 = -5*l + 2*m + 146, l + 5*m = 78. Suppose 2*n - 5*n = -l. Is n a composite number? True Suppose 0 = -2*s + y + 316, 0 = 2*y + 3 + 1. Is s a composite number? False Suppose 3*r = 3*f - 9, 0 = -f + 3*f + 4*r - 6. Suppose 4 = 2*n + f*l + l, 2*n + 1 = l. Suppose 3*y - 162 - 39 = n. Is y prime? True Suppose -2*o + 5 = 1. Is o + -2 + 9 + -2 composite? False Suppose 5*x = t + 10 + 12, 0 = -x + 5*t - 10. Suppose -10 - 43 = -4*j - x*f, 2*f = -4*j + 38. Is j composite? False Is (-1)/3*(-2358)/6 a composite number? False Let b = -4 + 7. Let a be -1*(-1*b - -1). Suppose -5*k - 2*s + 32 = 12, -a*k + 32 = -4*s. Is k a composite number? True Let v = -1 + -1. Let r(a) = a**2 - 1. Let n be r(v). Is ((-10)/6)/(n/(-45)) prime? False Let k(t) = t + 1. Let h(o) = -2*o + 5. Let u(c) = h(c) + 4*k(c). Is u(7) composite? False Let f(i) = -i**2 + 3*i - 8. Let b(h) = -h**2 + 3*h - 7. Let v(o) = 6*b(o) - 5*f(o). Let l be v(5). Let a = 33 + l. Is a prime? False Suppose 4*a - 9*a + 1735 = 0. Is a a prime number? True Suppose 5*c - 7 = -3*d, 3*d = -d - c - 19. Let n(j) = 11*j**2 + 2*j**3 - 5*j**2 + j**3 + 7 - 5*j - 2*j**3. Is n(d) a prime number? True Let o(q) = 7*q + 9. Let x be o(-9). Let j = 96 + x. Suppose m - 4*m = -j. Is m prime? False Let y(t) = 8*t**3 + 4*t**2 + 2*t - 6. Let f(a) = -7*a**3 - 3*a**2 - 2*a + 5. Let c(h) = -7*f(h) - 6*y(h). Is c(4) a prime number? False Suppose 8*f - 785 = 3*f. Is f composite? False Let i = 15 + -9. Suppose i = x - 43. Is x prime? False Let k(t) = 4*t**2 + t**3 - 12 + 0*t - t - 3*t**2. Is k(5) a prime number? False Suppose 2*x - n - 5 = 0, -5*x + 20 = -4*n - 0*n. Suppose -4*k + 16 = -x*k. Suppose 5*c - 12 = k*v + 86, 3*v = 9. Is c composite? True Suppose -686 = -5*p - 146. Let g be (-15)/(-4) + (-1)/(-4). Suppose -p - 256 = -g*t. Is t a composite number? True Suppose -7*j + 3*j + 436 = 0. Is j a prime number? True Let z be (-1)/(-4) + (-2214)/(-8). Let b = -183 + z. Is b a composite number? True Suppose 5*v + 3*m = 4*v + 51, 5*v - 203 = -2*m. Is v a prime number? False Let o = -5 - 0. Is (-237)/o - 6/15 composite? False Suppose 3*d - 1869 = m, -m - 3506 = -5*d - 391. Is d prime? False Suppose -108*u - 635 = -113*u. Is u composite? False Let a be (-2)/6*(591 - -6). Let l = a + 494. Is l composite? True Let l = 975 + -528. Is l a prime number? False Suppose -3*g - 10 = 2*s, -s - g + 0*g = 7. Let d = -9 - s. Is 639/6*d/1 prime? False Suppose 0 = 8*d - 7*d - 97. Is d composite? False Let d = 5162 + -2813. Suppose -3*c + 933 - 343 = x, c - d = -4*x. Is x a prime number? True Let j = 1372 - -589. Is j a prime number? False Let o(q) = -q**2 - q + 238. Let p be o(0). Let y = -105 + p. Is y prime? False Let y(x) = 0*x**2 - x**2 + 3 + 8*x**2 + 7*x. Is y(-5) a composite number? True Let u(t) = -t**3 - 3*t**2 - 5. Is u(-7) a prime number? True Is (-633)/(-3 - (3 + -3)) a prime number? True Let a be 4 + (-2 - -2)/2. Let o = a - 8. Is (2/o)/(2/(-332)) a prime number? True Let q(y) = -2*y - 10. Let k be q(-7). Suppose k*z - 4*u + 188 = 984, 5*z = 2*u + 983. Suppose 6*a - a = z. Is a composite? True Suppose 345 = 5*q - 0*q. Suppose -2*a + 157 = -q. Is a composite? False Let p(f) = 33*f**3 + f**2 + f - 1. Let u be p(1). Suppose 0 = 3*n - d - u, -4*d + 9*d + 60 = 5*n. Let a = n - -10. Is a a composite number? True Let b(r) = 525*r**2 + 1. Let f be b(1). Let a = f + -235. Is a composite? True Let g = -96 + 155. Suppose 3*d = -u + 383, -5*d = -2*u - 2*u - 644. Let n = d - g. Is n prime? False Suppose -y + 875 - 5539 = -2*d, 5*y - 4676 = -2*d. Is d composite? False Let j(c) = 22*c**2 - 7*c - 13. Is j(-10) composite? True Let j(l) = l**3 - 4*l**2 - l + 1. Let u = 19 + 11. Suppose -2*z - 3*z = -u. Is j(z) composite? False Suppose -x + 86 + 38 = 0. Suppose 3*s - 4*s = 2*a + 248, 0 = -a - 3*s - x. Let m = a + 243. Is m a composite number? True Suppose 0*v - 24 = 2*v. Let x = 99 + v. Is x composite? True Let g be 4*(-1)/(6/(-207)). Suppose 0*k + g = 2*k. Is k composite? True Let z(o) = -2*o - 1. Let y be z(-2). Suppose 0 = i - 3*t - 31, -y*t = 2*i + 2*t - 84. Is i a prime number? True Let t(i) = -i - 2. Let q be t(-4). Is (-2 + q - 3) + 80 a composite number? True Is 10/20*(-4436)/(-2) composite? False Let v = 195 + 58. Is v a prime number? False Suppose 0 = -q + 113 + 260. Is q a prime number? True Let k(p) be the first derivative of 3*p**2/2 - 3*p - 3. Let u be k(7). Suppose -2*w + 15 = -n, 0*w + w - u = 4*n. Is w composite? True Let t(r) = 5*r**2 - 3*r - 2. Let s be t(-2). Is (-91)/(-3) - (-16)/s composite? False Let i = 13 - 12. Is 42/12*38*i prime? False Suppose 2*o = -16 + 76. Suppose -g - 945 = -6*g. Suppose -3*n = -g + o. Is n prime? True Let j(x) = -7*x - 8. Let h be 20/3 + 10/(-15). Let z be j(h). Is z*(-3)/(4 - -2) a prime number? False Suppose -5*t + 10 = -0*t. Suppose -4*o = -o + 4*c - 169, -t*c + 167 = 3*o. Is o a composite number? True Suppose -2*t + 2*q = -119 - 79, -3*t = q - 289. Is t prime? True Is 117 - (0 - -2)/1 prime? False Let d be (2 - -2)*(-15)/(-12). Suppose -2*x - 269 = -2*f + 255, -d*f + 4*x = -1305. Is f composite? False Let i = -6 - -15. Is 12/54 + 1591/i composite? True Suppose -2*f - 2 = -4*f. Let p(t) = f + 1 - 1 - 3*t + 3*t**2 + 0. Is p(-6) prime? True Let j(t) be the second derivative of t**7/280 - t**6/360 + t**5/120 + t**4/6 + 4*t. Let f(r) be the third derivative of j(r). Is f(2) composite? True Let k(d) = 1 - 10*d + d**3 + 2 + 4*d. Let b(z) = 2*z - 16. Let a be b(10). Is k(a) composite? False Suppose -2*z + 143 = -11. Is z composite? True Suppose 0 = -5*c - 2*m - 248 - 13, 3*c = -3*m - 153. Let l = c - -120. Is l a prime number? True Is 211 - 0/((-1)/(-2)*4) prime? True Let u = -67 - -122. Is u a composite number? True Suppose -4*v + 1119 = -v. Is v a prime number? True Is 22*(-3 - 85/(-10)) a prime number? False Let t(i) = -9*i**3 - 3*i**2 + 3*i. Let d be t(3). Let g = -146 - d. Is g a composite number? True Let i = 112 + -77. Is i a composite number? True Suppose -3*a = -521 - 34. Is a composite? True Is 1/((-5)/(-5811 - 4)) composite? False Let p be 3/6 + (-129)/(-2). Suppose i - 2*g - 2*g - p = 0, 0 = 2*g + 6. Is i composite? False Let l = -103 - -169. Let p = 159 - l. Is (-1 - 5)/((-6)/p) composite? True Let u = 824 - -495. Is u a composite number? False Is (5 + 246)*(-1)/(-1) composite? False Let t = 5 - 6. Let i(n) = -78*n**3 - n. Is i(t) a prime number? True Suppose -2*q + 371 = -75. Is q a prime number? True Let d be (-6)/27 + (-6)/(-27). Suppose 2*i = -d + 8. Suppose -j - i*j = -595. Is j prime? False Suppose -h + 1 = 5. Let q be (h/(-5))/(1/10). Let f = 25 + q. Is f composite? True Let u(r) = r**3 + 5*r**2 - 9*r - 8. Let a be u(-6). Suppose -l + 3*l = -a, 5*n - 10 = 4*l. Is ((-6)/n)/3*22 a composite number? True
{ "pile_set_name": "DM Mathematics" }
visor of n and 4? 4 Let c be 1 + -1 + -1 + 17. Let i = 39 - 35. What is the greatest common factor of i and c? 4 Let t be (-3)/(3 + -4) + 3. Suppose 4*n - 156 + 46 = -3*u, -5*u + n = -145. Calculate the highest common divisor of u and t. 6 Suppose -3*c = 10 - 172. Suppose 8 = b + 2. Calculate the greatest common divisor of b and c. 6 Suppose 8*c - 265 = -17. Calculate the highest common divisor of 186 and c. 31 Let s be -6 + 2 + 6 + 0. What is the greatest common factor of 8 and s? 2 Let u = 9 - 2. Let s(o) = 17 - 4*o + 5*o - 19. Let f be s(u). What is the greatest common divisor of 5 and f? 5 Suppose -2*l - 3*d = -47, 2*l + 0*l = -2*d + 42. Suppose 0 = 4*r + 5 - 1, 3*r = -i + 5. Calculate the highest common factor of i and l. 8 Suppose -3*x + 435 = -3*u, -2*x = -4*x + 3*u + 292. Calculate the highest common factor of 13 and x. 13 Suppose 5*m = -3*s + 43, m + 0*s - 11 = -3*s. Suppose 4*d = -2*d + 432. Calculate the highest common factor of m and d. 8 Suppose -5*w + 44 = -v, 0*v - v + 19 = 2*w. Let p(z) = 2*z**2 - 2*z + 1 + 2*z + 6*z. Let g be p(5). What is the highest common factor of w and g? 9 Let l = -23 - -24. Suppose 4*j - 14 = -v + l, -3*v = 2*j - 25. What is the highest common factor of 7 and v? 7 Suppose s - 184 = 64. Calculate the highest common factor of 31 and s. 31 Let z(v) = 2*v**3 + 4*v**2 - 2*v - 2. Let j be z(2). Let h(i) = -i**2 - 18*i + 32. Let x be h(-19). Calculate the greatest common divisor of j and x. 13 Let n = -25 - -45. What is the highest common factor of n and 10? 10 Suppose -3*z = 4*d - 5*d - 137, 4*z - 2*d = 184. Let x = 21 - 12. What is the greatest common divisor of z and x? 9 Let h(k) = -4*k**3 + 2*k - 1. Let j be h(1). Let s be -4 + j + 47 - 0. What is the highest common factor of 4 and s? 4 Let b(k) = -k**3 + k**2 + k + 2. Let g = 3 + -5. Let u be b(g). What is the highest common factor of 30 and u? 6 Suppose c - d - 143 = 0, -c + 680 = 4*c + 2*d. Let i = 58 + c. Calculate the highest common factor of 28 and i. 28 Let q(i) = i - 9. Let y be q(7). Let h = y - -4. Calculate the greatest common divisor of h and 8. 2 Let u = 22 - 16. Let k be (-26)/(-4) + u/4. What is the highest common divisor of 16 and k? 8 Let t be (2 - 3 - -3) + 6 + -1. What is the highest common divisor of t and 77? 7 Let n = 50 + 38. What is the highest common divisor of n and 11? 11 Let t(j) = -j + 83. Let l be t(13). Calculate the greatest common divisor of 30 and l. 10 Suppose 3*c - 47 - 71 = -2*i, -2*i = -4. Let j = -7 - -26. Let b be (15/5)/(1/j). Calculate the greatest common divisor of b and c. 19 Suppose 4*u - 315 = -u. Let g be 5/(-3) + (-9)/27. Let f be (g/6)/(2/(-54)). What is the greatest common factor of f and u? 9 Let p(o) = -4*o + 2. Let s be p(-5). What is the highest common divisor of s and 55? 11 Let m = 42 + 21. Suppose 4*n = -2*o + 22, -5*n + 4*o + 2 = -45. What is the highest common factor of n and m? 7 Let u = 0 - -5. Calculate the greatest common divisor of 25 and u. 5 Let b be 23/(-3)*(-7 - -4). What is the highest common factor of b and 23? 23 Let v be -1 + -1 + -2 + 144. What is the highest common divisor of 20 and v? 20 Let a = 26 + -38. Let h be ((-80)/a)/(1/3). Calculate the highest common divisor of h and 5. 5 Suppose -5*p = -208 - 82. Let f = 130 - p. What is the highest common factor of 8 and f? 8 Let l = 1 + 9. Calculate the highest common divisor of 90 and l. 10 Let i = -77 - -51. Let s = -11 - i. Let z(v) = 29*v - 9. Let n be z(6). Calculate the highest common divisor of s and n. 15 Let q(v) = -88*v**3 + v**2 + 2*v. Suppose 0 = 2*u + u + 6. Let p be q(u). Suppose p = 6*m - 2*m. Calculate the greatest common divisor of 16 and m. 16 Let o(h) = -2*h**2 + 3*h + 3. Let c be o(3). Let k be (-25)/10*c/5. Let f be 3 + k/(-3) + 68. What is the highest common factor of f and 10? 10 Let z = -15 - -162. Calculate the greatest common divisor of z and 21. 21 Let j be (0 - -1)*(6 + -3). Suppose 0 = n - d - d - j, d - 3 = -4*n. What is the greatest common divisor of 4 and n? 1 Let n be ((-4)/1)/(6/(-33)). Let d = 40 - n. Calculate the highest common factor of 2 and d. 2 Let o(i) = -i**3 + 5*i**2 + 5*i + 8. Let z be o(6). Suppose -4*b + b = q - 14, q + 11 = z*b. Calculate the greatest common factor of b and 15. 5 Suppose -273 = -6*a + 525. Calculate the highest common divisor of 19 and a. 19 Let w = -81 + 91. Calculate the greatest common divisor of 220 and w. 10 Suppose -5*l + 504 = -9*b + 5*b, 4*l - 399 = -b. Calculate the highest common factor of l and 50. 50 Let c = -26 + 80. Calculate the highest common divisor of c and 6. 6 Suppose 7*q = 2*q + 70. Let t be (-4)/((-64)/28)*20. What is the greatest common factor of q and t? 7 Suppose -6*y = 9*y - 930. Calculate the highest common factor of 93 and y. 31 Let w be 40 + -3 + -2 + 4. Calculate the greatest common factor of 13 and w. 13 Suppose 634 + 46 = 5*f. Let q(o) = -8*o + 113. Let t be q(12). Calculate the highest common divisor of f and t. 17 Let b(z) = -3*z + 2. Suppose 2*a + 3*a - 30 = 0. Suppose a*v + 8 = 2*v. Let j be b(v). Calculate the greatest common factor of j and 64. 8 Let l be 2/5*(-1 + 11). Suppose 4*v = v + l*w + 86, 4*w = -3*v + 94. What is the highest common divisor of v and 75? 15 Suppose 6 = g - 0*g. Suppose -2*d = -p + 17, -4*p = -0*d - 5*d - 56. What is the highest common factor of p and g? 3 Let h be ((-85 + -3)/4)/((-2)/2). What is the highest common divisor of 55 and h? 11 Suppose -36 = -2*k + 4*o, o - 90 = -5*k + 6*o. What is the highest common factor of k and 24? 6 Let i be -1*(9 + 1 + -3). Let t = i + 11. Suppose m - 37 = -0*m + 5*u, t*m = -3*u + 171. Calculate the greatest common divisor of 21 and m. 21 Suppose -19*o - 16 = -23*o. Calculate the greatest common divisor of 28 and o. 4 Let m(d) = -d**2 - d + 3. Let v be m(0). Suppose -3*n + 18 = -v*j, -4*j = 2*n - 17 - 19. What is the greatest common factor of n and 100? 10 Suppose 3*q + 24 = 7*q. Calculate the greatest common factor of q and 66. 6 Suppose l + l - 4*y = 8, -5*l + 20 = y. Suppose 4*g - 2*f = 22, l*f + 7 + 12 = 3*g. What is the greatest common factor of g and 15? 5 Let m = -11 - -23. Let r(u) = 3*u - 6. Let k be r(m). What is the highest common factor of k and 60? 30 Let r(l) = 23*l + 277. Let u be r(-11). Let j = -3 + 0. Let h be j/(-2)*(-16)/(-3). Calculate the greatest common divisor of u and h. 8 Suppose 0 = 2*u + 5 - 49. Calculate the highest common divisor of 33 and u. 11 Suppose 29*n + 10 = 30*n. Calculate the highest common factor of 40 and n. 10 Let o(n) = n**3 - 2*n**2 - n - 1. Let w be o(3). Suppose 0 = -5*c + 5*a + 40, -4 = 3*a + w. Let x = c + 3. What is the greatest common divisor of x and 12? 4 Let a = 33 + 21. What is the highest common factor of a and 81? 27 Let a be 2/(-2)*(-18 + -1). Let f be (-1)/(-4) - 3486/(-8). Let j = -227 + f. Calculate the highest common factor of a and j. 19 Let i be 2*-5*(-4 - -3). Calculate the highest common factor of 5 and i. 5 Let z = 33 + -19. Let u(b) = 8*b**2 + 2*b + 1. Let c be u(7). Suppose -519 = -4*g - 5*o, 3*g + 5*o - c = -14. What is the greatest common factor of g and z? 14 Let n = 111 + -105. Suppose l - 8 - 2 = 0. Suppose 5*v = 3*f + 6, -f - 3*v + 2 + l = 0. What is the greatest common factor of f and n? 3 Let r(s) = s**3 - 8*s**2 + 6*s - 24. Let b be r(8). What is the highest common divisor of 36 and b? 12 Suppose 6*s - 1089 = 3*s. What is the greatest common factor of s and 33? 33 Let v(b) = -b**2 - 9*b + 8. Let u be v(-7). What is the highest common factor of u and 11? 11 Suppose 6*t - 15 = -3. Calculate the highest common factor of 6 and t. 2 Let u = -3 - -6. What is the highest common divisor of 15 and u? 3 Suppose 0 = 3*i - 25 + 7. Suppose -3*z + 132 = -2*f, 4*z - 127 = 5*f + 56. Calculate the highest common divisor of z and i. 6 Suppose 0 = 5*c - 100 + 15. Calculate the greatest common divisor of c and 85. 17 Suppose 0*h + 7*h = 105. Suppose -3*b + 25 = 2*b. Calculate the greatest common factor of h and b. 5 Suppose -4 = -3*q + 53. Suppose -627 = -3*s - 0*s. What is the greatest common factor of q and s? 19 Let v(z) = 7*z**3 + 7*z**2 + 3*z - 1. Let l(w) = -w**3 - w**2 - w. Let n(u) = 6*l(u) + v(u). Let t be n(-2). What is the greatest common divisor of 5 and t? 1 Suppose 4*i - 5*i = -10. What is the highest c
{ "pile_set_name": "DM Mathematics" }
4, -9/22? -0.4 What is the second biggest value in 0.5, -2/13, 0.2, 123? 0.5 Which is the second biggest value? (a) 3/4 (b) 61 (c) 0 a What is the fifth smallest value in 6/7, 6/11, -0.028, -2, -2/7? 6/7 What is the biggest value in 1/4, -0.128, -5? 1/4 Which is the biggest value? (a) 0 (b) 1 (c) 15 (d) 3 c Which is the smallest value? (a) -4 (b) -41 (c) 0.5 b What is the third smallest value in -2, -3/14, -6/17? -3/14 What is the second smallest value in 1, -7/3, -5, 4/7? -7/3 Which is the third biggest value? (a) 8 (b) 5 (c) 0 (d) 2/11 d Which is the third biggest value? (a) 2/19 (b) 5 (c) -0.06 (d) -2/11 c Which is the smallest value? (a) 1 (b) -2/7 (c) 1.3 b Which is the third smallest value? (a) -2 (b) -59 (c) 4 c What is the biggest value in 264, 1, 2/3, 0.2? 264 What is the fifth smallest value in -2, -0.1, -9, -5, -1/4? -0.1 What is the third smallest value in -0.2, -24, 1, 0.6, 3? 0.6 What is the smallest value in 176, 0.1, -5? -5 What is the second smallest value in 1/4, -12, 0? 0 What is the biggest value in 1, -117, -0.8? 1 What is the third biggest value in 3, 14, 0.5, -2/7, 1? 1 Which is the fourth biggest value? (a) -0.2 (b) -2.8 (c) 2/35 (d) 2 (e) 1/3 a What is the second smallest value in -2, -3/5, 0.3, 0? -3/5 What is the biggest value in 321/5, 2/3, 8? 321/5 Which is the second smallest value? (a) 0 (b) 15/14 (c) -0.4 (d) -5 (e) -0.2 c Which is the biggest value? (a) -6 (b) 4 (c) 2/5 (d) -9/19 (e) 3/4 b What is the smallest value in -25, -0.01, -2? -25 Which is the third biggest value? (a) -1 (b) 0 (c) 0.4 (d) 1/3 b What is the smallest value in -0.002, 4, -0.1? -0.1 What is the second biggest value in 5, 88/7, 1? 5 What is the third biggest value in -1.8, 1/3, -0.04? -1.8 Which is the biggest value? (a) 0.5 (b) 13 (c) -2 b What is the second biggest value in 0.1, -45, -2/7? -2/7 Which is the fourth biggest value? (a) -5 (b) -3/8 (c) 4 (d) 1/2 (e) -24 a What is the third smallest value in 7, 27, 2/5? 27 Which is the biggest value? (a) 5 (b) -4/7 (c) 0 (d) 3 (e) 81 e What is the second smallest value in -1/9, 13/5, 0.9, -0.4, 2? -1/9 What is the biggest value in -3, 5, 0.4, -0.11? 5 Which is the second smallest value? (a) 1 (b) -386 (c) -5 c What is the biggest value in 3/4, -3.69, -1? 3/4 What is the smallest value in 3/4, -16/9, 3/7, -0.4? -16/9 Which is the second biggest value? (a) 3/5 (b) -2/21 (c) 5 (d) -133 (e) 3 e Which is the third biggest value? (a) 1/8 (b) -0.04 (c) 9/10 b What is the biggest value in 2/177, -3/7, -0.1? 2/177 What is the biggest value in -2/13, 5, -4, -74? 5 Which is the smallest value? (a) 0.05 (b) 7 (c) 5 a Which is the third smallest value? (a) -4 (b) 2/7 (c) -2 (d) -0.5 d Which is the second biggest value? (a) 0.2 (b) 9 (c) 2 (d) -5 (e) -11 c Which is the third biggest value? (a) -1814 (b) 1 (c) 4 a What is the smallest value in 40, 5, 4, 68, 0.4? 0.4 Which is the second biggest value? (a) -1 (b) -0.05 (c) -108 a Which is the third smallest value? (a) -3 (b) -5 (c) 1 (d) -743 a Which is the smallest value? (a) -14 (b) 2.6 (c) -11 a Which is the third smallest value? (a) 0 (b) -1.46 (c) 3/2 c Which is the second smallest value? (a) -2/21 (b) 4 (c) 6/11 c What is the second smallest value in 0, -1/9, -5? -1/9 What is the second smallest value in 1, 3/4, 10? 1 What is the biggest value in 1, -13, -0.5, 0.4, -0.2? 1 What is the third smallest value in 4, -33/8, -2, -1? -1 What is the third biggest value in -12, 15, -5, -0.2? -5 Which is the second smallest value? (a) 0 (b) 1/25 (c) -1/6 a Which is the biggest value? (a) -0.1 (b) -3 (c) 1/3 (d) 0.11 c Which is the third smallest value? (a) -0.5 (b) 2/21 (c) 1.1 (d) 0.5 d What is the smallest value in -4/5, 0.2, 1/8, 2? -4/5 Which is the third biggest value? (a) 3/4 (b) 2/7 (c) -1 (d) -22 (e) 1 b What is the second smallest value in -5, -3, -2, -1.42, 2/3? -3 What is the fourth biggest value in 0.1, 9/4, -1, 0.01? -1 What is the third biggest value in -0.2, -0.01, 0.9, 3? -0.01 Which is the third biggest value? (a) 661 (b) -1/6 (c) 0.3 (d) -0.3 b What is the fourth biggest value in 2/7, -0.5, -3, -23, 5? -3 Which is the biggest value? (a) 19 (b) 0.4 (c) 0.09 a What is the second biggest value in 2/13, 4, -0.2, 5? 4 What is the fourth biggest value in -0.4, 1/2, -2, 11/5? -2 Which is the third biggest value? (a) 2 (b) -0.19 (c) -8 c What is the second smallest value in 2629, -2/9, 2/7? 2/7 What is the second smallest value in 5, -245, 1.4? 1.4 Which is the fourth biggest value? (a) -3 (b) 2/11 (c) -0.3 (d) -5 (e) 767 a What is the fourth biggest value in -3/2, 4, -1/4, 2, -3? -3/2 What is the third smallest value in 2/9, 1/3, -7/4? 1/3 What is the fourth biggest value in 5, 1/6, 2/9, -80? -80 What is the third smallest value in -0.7, 2/3, 10, -5? 2/3 What is the third biggest value in -5, 1/11, 5? -5 What is the biggest value in 0.2, 4/3, 0, -3? 4/3 What is the third biggest value in 0.1, -2/11, -1.01? -1.01 Which is the third biggest value? (a) -0.3 (b) -5 (c) 5 (d) -4 (e) -25/11 e Which is the third biggest value? (a) 1 (b) -0.06 (c) -8 (d) 3 b Which is the third smallest value? (a) 0.3 (b) 9 (c) -0.3 (d) -1 a Which is the third smallest value? (a) 3/7 (b) -3/2 (c) 2/61 (d) -1/9 c Which is the biggest value? (a) 2/25 (b) 3 (c) 9 c Which is the fourth smallest value? (a) -5 (b) 4 (c) 2/39 (d) -0.4 (e) 2/13 e Which is the second smallest value? (a) -3/4 (b) -290 (c) -0.2 a Which is the third biggest value? (a) -1/4 (b) 0.16 (c) -1/3 c Which is the biggest value? (a) -122 (b) -0.1 (c) 4/3 c Which is the second biggest value? (a) -0.2 (b) -67 (c) -11 c Which is the second smallest value? (a) -5 (b) 0.02 (c) -19 (d) 0 (e) 5 a Which is the smallest value? (a) 3/2 (b) 0.29 (c) -2/7 c What is the smallest value in -4, 0.25, -0.7? -4 What is the third biggest value in 1, 2.4, 0.4? 0.4 What is the smallest value in 2/39, 0.101, 2/7, -2/7? -2/7 Which is the third smallest value? (a) 48 (b) 3 (c) 1 a Which is the fourth smallest value? (a) -1 (b) -4/5 (c) -4 (d) 4 d What is the second smallest value in 12, -3, -1/4, -1, 0.1? -1 What is the second biggest value in 4/5, 1/3, 0.3? 1/3 What is the third biggest value in 2, -0.1, 52, 3/4? 3/4 What is the third biggest value in 0.1, -69, -4, -5, -0.3? -4 Which is the smallest value? (a) -0.3 (b) 1/16 (c) -0.1 a Which is the second biggest value? (a) -4 (b) -10 (c) 2/9 a Which is the third smallest value? (a) -1/2 (b) 4 (c) 58 c Which is the smallest value? (a) -4 (b) 4 (c) -1/5 (d) 1/183 (e) 0 a What is the third biggest value in 0.5, 430/17, 4, -5? 0.5 Which is the fifth biggest value? (a) 2 (b) -5.9 (c) 6 (d) -5 (e) 1 b Which is the second smallest value? (a) 2 (b) -1/4 (c) -29.12 b What is the second smallest value in -1/4, 0.059, 0.052? 0.052 What is the third smallest value in -0.192, -1/3, 17, -2, -3? -1/3 Which is the third smallest value? (a) 0.4 (b) -0.2 (c) 6 (d) -9 a What is the second smallest value in -1, -1444, -0.2? -1 What is the fourth biggest value in -1, -0.11, 1/3, 4? -1 Which is the second biggest value? (a) 0.2 (b) 12 (c) -0.3 a Which is the third smallest value? (a) 1.2 (b) 2 (c) 0.7 (d) 1 a Which is the fourth smallest value? (a) -1/9 (b) 2/3 (c) 0.9 (d) -28 c What is the second biggest value in 0.7, 4, 0.17, -0.5, -1/4? 0.7 What is the second biggest value in 0, -2.9, -0.4? -0.4 Which is the second smallest value? (a) -0.4 (b) -0.5 (c) -2/109 (d) 0.3 a Which is the fourth smallest value? (a) -4 (b) -0.05 (c) -6 (d) 2/9 d What is the third smallest value in 10, -1, 33? 33 What is the second smallest value in 1/2, -4, 5? 1/2 What is the second biggest value in 4, -0.2, -21/4? -0.2 Which is the fourth biggest value? (a) -1/9 (b) -2 (c) 0.3 (d) -3/2 b Which is the fourth biggest value? (a) 4 (b) 0.5 (c) 0.3 (d) -1/4 (e) -0.5 d What is the second biggest value in -1/3, -10/11, 12/7? -1/3 What is the smallest value in 5, 0.3, -5, 1/5? -5 What is the second smallest value in -0.1, -10/11, -2? -10/11 Which is the third biggest value? (a) -3 (b) -1/30 (c) -1/2 (
{ "pile_set_name": "DM Mathematics" }
. What is the lowest common multiple of q(2) and w? 24 Let o be (-1 + (-1)/(-2))*-18. Let b be ((-20)/(-25))/4 + 105/(-25). Calculate the smallest common multiple of b - -18 - o/3 and 6. 66 Suppose 3*f = 4*x + 47 + 45, 4*x - 160 = -4*f. Calculate the least common multiple of f and 16. 144 Let x = -31387/63 + 3538/7. Calculate the common denominator of x and 28/27. 27 What is the smallest common multiple of 9 and 442 + (-13)/(130/(-30))? 4005 Suppose 16*m + 8 = 20*m. What is the least common multiple of m and 23? 46 Let b be (-4)/(-3)*1*-3. Let h = b + 22. Suppose -2*w + 18 = 3*p, 0*w = w + 4*p + 6. What is the lowest common multiple of w and h? 18 Let c(a) = -11229*a**2 - 2*a. Let k be c(1). Let q = k + 247011/22. Calculate the common denominator of q and (194/40)/(12/5). 528 Suppose -a = -3*a + 3*o + 199, 3*a - 3*o = 306. What is the lowest common multiple of 8 and a? 856 Calculate the common denominator of (((-2)/(-9))/1)/((-2852)/7383) and -64/3. 186 Let x(c) = 4*c - 26. Let o(q) = q**2 - 4*q + 2. Let m = 10 + -4. What is the smallest common multiple of x(7) and o(m)? 14 Suppose i - 26 - 13 = -4*g, 0 = -3*g - 12. Calculate the smallest common multiple of 33 and i. 165 Let j = 26311/13 - 2026. What is the common denominator of j and -65/16? 208 Let z be (-7355)/(-3) + 4/(-6). Let w = z - 22081/9. Find the common denominator of 65/3 and w. 9 Let t = 8175/8 - 10133/8. Let p = 249 + t. Find the common denominator of p and ((-3)/11)/(8/(-136)). 44 Calculate the lowest common multiple of 51 and 2/(-1 - 265/(-255)). 51 Let f(l) = 9*l + 174. What is the least common multiple of f(-18) and 30? 60 Let y(n) = n**2 + 2*n + 1. What is the least common multiple of y(-4) and 2/2 - (-7 + 12 + -11)? 63 Let n = 1621/1265088 - -1/7188. Let i = n + -4049/704. Find the common denominator of i and ((-95)/14)/((-6)/(-7)). 12 Let v = -2247 - -18039/8. Let s(n) = n**2 - 12*n + 12. Let u be s(9). Find the common denominator of 3 + (-114)/u*-2 and v. 40 Let o = -832361/24 + 34688. Calculate the common denominator of 67/24 and o. 24 Let y(o) = -37*o + 13. What is the smallest common multiple of 8 and y(-6)? 1880 Let h = 112 - 92. Suppose 8*k - 3*k = 0. Suppose 2*j - 5*t - 29 = k, 2*t = 3*j + 6*t - 78. Calculate the lowest common multiple of h and j. 220 Let p = -319 + 467. Calculate the least common multiple of 72 and p. 2664 Suppose p + 5*o = 7, 39*o = 34*o. Let m(w) = w**2 + 3*w + 4. What is the smallest common multiple of m(-4) and p? 56 Let u be (-403531)/(-220) - 1 - 8/(-40). Let c = 7343/4 - u. What is the common denominator of 9/22 and c? 22 Calculate the common denominator of 44/45 and 353/(-90) - 9/((-27)/9). 90 Let l = 1146 + -1102. What is the least common multiple of l and 8? 88 Let h be 1 + (4 + -11)/(-1). Calculate the smallest common multiple of h/28 - (-47)/7 and (1/1)/((-2)/(-20)). 70 Let g(z) = z. Let x be g(1). Let q(u) = -4*u + 1. Let l be q(x). Calculate the common denominator of (-2 + (-58)/(-20))*l and 103/6. 30 Suppose -2*g + 27 = 2*h - 39, 0 = 2*h + 4. Let y = -32 + g. Calculate the lowest common multiple of 1 and y. 3 Let l(g) = -g**3 + 5*g**2 - 4*g + 6. Let y = 29 - 13. Calculate the lowest common multiple of l(3) and y. 48 Let x be 3512/40 + 2/10. Suppose 0 = w + 3*w - x. What is the lowest common multiple of w and 4*((-34)/(-4))/1? 374 Suppose -74 = -3*v - 4*r - 9, -4*r = 2*v - 38. Suppose 12 = 2*w + 2*q, 5*q + 51 = 2*w + 2*w. What is the lowest common multiple of w and v? 27 Let w(f) = f + 4. Let m be w(-6). Let k = -2 - -13. Let h = m + k. What is the lowest common multiple of 11 and h? 99 What is the common denominator of 2922/2808 - (-1)/18 and -55/24? 312 Calculate the least common multiple of (-72)/324*-1*9 and 6. 6 Let y(b) = 14*b**2 - 2*b. Let w be y(2). Calculate the common denominator of (0 - w/(-9)) + -4 + 1 and 113/12. 36 Suppose w - 4*w = 1155. What is the common denominator of (w/80)/((-27)/12) and 71/4? 36 Let p = 107 - 22. Suppose -3*z = -x - 12, -z - 6*x = -x + 12. Suppose -52 + 18 = 2*n - z*b, -p = 5*n - 3*b. Calculate the common denominator of -9/11 and n. 11 Let b(a) = -28*a**3 - a**2 - a + 1. Let n be b(1). Let d = n + 39. Calculate the lowest common multiple of 6 and d. 30 Suppose 0 = -8*a + 460 + 356. Suppose -m - 3*m + a = -o, -2*o + 108 = 4*m. Calculate the smallest common multiple of m and 6. 78 What is the common denominator of 33/53 and 9 + 10 + (-9 - 10)? 53 Suppose -2*c + z + 9 = -0, -4*c + 5*z = -27. Suppose 3*l - 3*y - 15 = 0, c*l + 2*y - 42 = -2. What is the least common multiple of 20 and l? 20 Let h(w) = w**3 + 6*w**2 + 5*w + 6. Suppose -4 = -j - 9, 5*x + 5*j - 20 = 0. What is the lowest common multiple of h(-5) and x? 18 Let t be 20 + (1 - 0) + -2. Suppose -t + 61 = 6*k. What is the lowest common multiple of ((-1)/(-1))/(3/18) and k? 42 Calculate the least common multiple of (-3 + 570/25)/(3/10) and 24. 264 What is the common denominator of 13/119 and 14/35*5 + 251/(-153)? 1071 Let w be 2/6 - (-205)/15. Calculate the least common multiple of (w/(-3))/((-4)/12) and 4. 28 Let r = 455/82 - 2/41. Let o be (-5)/(-30) - 17258/12. Let d = o + 14423/10. What is the common denominator of r and d? 10 Suppose f - 43 + 21 = 0. What is the smallest common multiple of 154 and f? 154 Let m = 11638 - 6668555/573. What is the common denominator of m and 73/10? 5730 Let s be -1 + 1 + 0 + 5/5. What is the common denominator of (-148)/(-8)*(93/81 - s) and -26/27? 27 Suppose -2 = 5*z - 5*u + 13, 5*z + 2*u = 6. Suppose z = 2*q - 7*q. Suppose q = -4*p - p + 70. Calculate the smallest common multiple of 6 and p. 42 Let g be -183*(1074/(-40) - -2). Let x be ((-3407)/(-1) + 1)*508/(-381). Let o = x + g. What is the common denominator of 49/10 and o? 20 Let r(k) = 8*k - 5. Let b(y) = 555*y - 6099. What is the lowest common multiple of b(11) and r(4)? 54 Suppose -i = 0, -r - 5*i + 1347 = -i. What is the common denominator of 4/(-14) - 2*r/(-756) and -75/2? 18 Let l = -5147 - -41097/8. Let w(i) = i**3 + 8*i**2 + 3*i + 8. Let j be w(-7). Find the common denominator of l and 2/(-9) - 610/j. 24 Let m = 223 - 115. Find the common denominator of ((-339)/m)/(1/(-3)) and (178/20)/((-756)/(-70) - 10). 24 Let k = 41 - 43. Find the common denominator of -6 and ((k/(-6))/(20/996))/14. 70 Suppose k = -5*f + 6*k + 15, -f = 4*k + 12. Find the common denominator of (-10 - f)*-1*16/(-44) and 34/3. 33 Let x = -3763 + 2310. Let r = 2283 + x. Calculate the common denominator of 19/16 and (9/(-45))/((-36)/r). 144 Let s = -5359/5 + 48184/45. What is the common denominator of -3/20 and s? 180 Let p(f) be the third derivative of f**6/120 + f**5/6 - f**4/2 + f**3/2 - 6*f**2. Calculate the least common multiple of 16 and p(-11). 112 Suppose -17*i - 95 + 435 = 0. Calculate the smallest common multiple of -3 + 0 + 5 + 3 and i. 20 Let k(l) = -l + 15. Let c be 3 - (1 + (-1 - 2)). Suppose -u + c = -0. Calculate the lowest common multiple of k(6) and u. 45 What is the common denominator of ((-35)/6 - 0)*(-294)/(-140) and 49/36? 36 Suppose 0 = 71*t - 557 - 295. Let w = 4 - -16. Calculate the lowest common multiple of w and t. 60 Suppose -581 = -31*l + 473. Calculate the lowest common multiple of l and 30. 510 Suppose 39*q - w = 35*q + 195, q - 42 = -2*w. Let r(g) = g + 3. What is the lowest common multiple of q and r(6)? 144 Suppose -1686 = d - 1696. Calculate the smallest common multiple of d and 156. 780 Let v = 2184 + -2182. Calculate the smallest common multiple of 218 and v. 218 Let d = 778 + -736. What is the lowest common multiple of 18 and d? 126 Find the common denominator of (2 - 8) + 9 + (-90)/56 and 73/208. 1456 Suppose 0 = -4*x - 4*h + 56, 4*h - h = 2*x - 38. What is the lowest common multiple of 120 and x? 240 Let d(x) = x**3 - 13*x**2 + x + 11. Let f = -5 - -14. Calculate the least common multiple of d(13) and f. 72 Let f(r) = -r - 2. Let m be f(-6). Suppose -5*j = -m*j - 20. Let g = -21 + 31. Calculate the smallest common multiple of g and j. 20 Let k be (-26)/65 + (-1646)/35860. Let g = 6/163 + k. Calculate the common denominator of (-8)/(-10) - (-3857)/210 and g. 66 Let k = -21/229 - 10137/1832. Let o = 11275/16 + -703. Find the common denominator of o and k. 16 Let t = -143 + 293. Calculate the smallest common multiple of t and 33. 1650 Fin
{ "pile_set_name": "DM Mathematics" }
a(c). Let s be 14 - (8/1 - m). Round s to the nearest one hundred. 0 Let m = -9.7 + -0.3. Let g = m - -10.04. What is g rounded to one dp? 0 Let i = -94215 - -287901. Let y = -1486314 - i. What is y rounded to the nearest 100000? -1700000 Suppose -3*w - 3 = 0, 7*q - 4*q - 5*w = -7169995. Round q to the nearest 1000000. -2000000 Let u = 75353941 + -36617252. Let l = -17936689 + u. What is l rounded to the nearest 1000000? 21000000 Let s = -0.74 + -0.06. Let g = s + 0.793. Round g to 2 decimal places. -0.01 Suppose -13*r + 2323441 = -19165559. What is r rounded to the nearest 100000? 1700000 Let v = 1559 + -1558.99207. What is v rounded to 3 dps? 0.008 Suppose 5*p = -50847222 + 247453912. Suppose -4*t + 25878662 + p = 0. Round t to the nearest 1000000. 16000000 Suppose -3*h - 21 = 4*g, 2*h = -9*g + 4*g - 21. Let i = g - -7. Suppose q + 8 = i. Round q to the nearest integer. -4 Let v = 205167406.0000078 + -205167466. Let z = -60 - v. What is z rounded to six dps? -0.000008 Let j = -10541586 + 2422586. Round j to the nearest 1000000. -8000000 Let q = 46.81 + 1.19. Let a = q + -51.1. Let f = 3.7 - a. What is f rounded to the nearest integer? 7 Let u = 0.0608 + -0.058465. Round u to 4 decimal places. 0.0023 Let t = 17467.355 + -17394.14697. Let q = 8.79807 + t. Let b = 82 - q. Round b to 3 decimal places. -0.006 Let s = -13564 - -19159. What is s rounded to the nearest one hundred? 5600 Let j = -29 + 46. Let i = 16.935 - j. Let l = i - -0.1. What is l rounded to 2 dps? 0.04 Suppose -6*k - 6396 = -37656. What is k rounded to the nearest 100? 5200 Suppose 18*k + 7258379 - 22126379 = 0. Round k to the nearest ten thousand. 830000 Let q = -1636 + 1636.1551. What is q rounded to 2 dps? 0.16 Let q = 251.4 + -230. Let g = q - 20. Round g to 1 decimal place. 1.4 Let k = 0.02 - -0.03. Let z = 0.08 - k. Let q = -0.03000008 + z. What is q rounded to 7 dps? -0.0000001 Suppose -2*j + 29 = 2*r - 27, -5*r = j - 36. Suppose -2 + j = 6*b. Suppose 0*o = b*o - 168. What is o rounded to the nearest 10? 40 Suppose 3*w - l = 19, 0 = -w - 3*l + 4*l + 7. Suppose -o = 4*d - 3, w = 2*o - d - d. Suppose o*z - z + 27000 = 0. What is z rounded to the nearest 1000? -14000 Let t be -625 - ((1 - 5) + 0). Let c = t - -5721. What is c rounded to the nearest 1000? 5000 Let f be 160/88 + (-6)/(-33). Let k = 0 + f. Let m be 201999/k + (-1)/(-2). Round m to the nearest ten thousand. 100000 Let a = -1434 + 1534.8. Round a to the nearest ten. 100 Let w = 756 + -210. Round w to the nearest 100. 500 Let x = 25.5 - -0.5. Let w = -12.4 - 8. Let v = x + w. Round v to the nearest integer. 6 Let q = 20636 - 20751.81. Let p = -0.81 - q. Let l = -96.4 + p. What is l rounded to the nearest integer? 19 Let y = -0.0194 + 0.069. Let l = -18 + 18.035. Let m = l - y. Round m to 3 dps. -0.015 Let n(y) = -y**2 + 18*y + 6. Let r be n(18). Let k(t) = -48*t - 1. Let p be k(r). Round p to the nearest 100. -300 Let k = 221 + -221.00762. Round k to 4 dps. -0.0076 Let c = 1546 + -1545.998965. Round c to four dps. 0.001 Let l = -4 + -12. Let b be (l + 0)/((-20)/10). Let k be -26*(0 - (-20)/b). Round k to the nearest ten. -70 Let j be (127037 - 14) + -1*3. Suppose -5*s = -9*s - j. Let r = s + 46555. What is r rounded to the nearest one thousand? 15000 Let z = -642 + 735.7. What is z rounded to the nearest 10? 90 Suppose -45*z + 2*z + 106812000 = 0. What is z rounded to the nearest 100000? 2500000 Let n = 16825 + -16610.528. Let d = n - -0.528. Let a = d - 214.99903. Round a to 4 decimal places. 0.001 Let i(f) = 1500*f**2 + 6*f - 11. Let u be i(5). Let b = 23219 - u. Round b to the nearest 1000. -14000 Let z(q) = -6 + 8 - 1 + 1071663*q + 21. Let d be z(6). What is d rounded to the nearest 1000000? 6000000 Let y = 341 - 324.96. Let h = 16 - y. Let b = 0.03967 + h. What is b rounded to 4 decimal places? -0.0003 Let x(d) be the third derivative of 0 + 4*d**2 - 2167/24*d**4 + 0*d + 1/2*d**3. Let w be x(9). What is w rounded to the nearest 1000? -20000 Let h = -140520 - -92120. What is h rounded to the nearest 1000? -48000 Let q = -14.9 + 74.9. Let h = q + -59.99921. Round h to four decimal places. 0.0008 Let s = -4.583 - 19.447. What is s rounded to one dp? -24 Suppose -14104995 = 5*w - j, -4*w + 1024506 = 2*j + 12308516. What is w rounded to the nearest 100000? -2800000 Let n be (0 - -1)/(3/45). Suppose -2*q - 1079985 = i - 0*i, 5*i = n. Let p be q + -3 + -4 + 1. What is p rounded to the nearest 100000? -500000 Let w = -210 - -58. Let p = -222 - w. Let k = p + 70.0069. Round k to 3 dps. 0.007 Let n(z) = z**3 + 3*z**2 - 9*z + 5. Let t be n(-5). Suppose -m + 891004 = 3*g, t*g - 4*g + 1187996 = -m. What is g rounded to the nearest 10000? 300000 Let i(q) = -85635*q + 41. Let g be i(6). Suppose 442301 = 2*w - 187237. Let x = g + w. What is x rounded to the nearest ten thousand? -200000 Suppose 0 = -5*r, -2*p + r - 4 = -8. Suppose 0 = -p*s - 4 + 8. Suppose 0 = -s*y + 4*y + 2260. Round y to the nearest one hundred. -1100 Let a = 409.0000358 + -409. What is a rounded to six decimal places? 0.000036 Let j = -152.2 - -187. Let m = -184.8 + j. Let u = -150.00000173 - m. What is u rounded to seven dps? -0.0000017 Let y = 10.694 - 0.094. Let a = 10.6000171 - y. Round a to six dps. 0.000017 Let v = 1.97 - 1.8. Let m = v + 0.53. Let b = m - 0.6979. Round b to three decimal places. 0.002 Let k = -882.6 + 807. What is k rounded to the nearest 10? -80 Let w = -9695.7167 - -9695. Round w to two dps. -0.72 Let x = -8.518916 + 0.444344. Let d = -5.925485 + x. Let t = d + 14. Round t to 5 dps. -0.00006 Let n = -58 + 53.3. Let m = -4.6436 - n. Let s = -0.036 + m. Round s to 3 dps. 0.02 Let d = -112979503 + 112979475.9999903. Let x = -27 - d. Round x to six dps. 0.00001 Suppose 5*o - 2*k = 10744, -4*o + 8189 + 399 = -4*k. What is o rounded to the nearest one thousand? 2000 Suppose -3 = n - 2*r + 3, -5*r = 5. Let p be (1 + n)*(-14400)/21. What is p rounded to the nearest one hundred? 4800 Let d = -454.6 + 474. Round d to the nearest integer. 19 Let d = -39082 - 109918. Round d to the nearest one thousand. -149000 Suppose -17*k - 12460000 = 3*k. Round k to the nearest 10000. -620000 Let q = 323 - 290.6. Let x = q - 35. What is x rounded to the nearest integer? -3 Let u = -138 + 138.00009. What is u rounded to four decimal places? 0.0001 Suppose 0 = -6*o + 3*o - 123. Let q = -14 - o. Let x be 1062/q*6/(-2). What is x rounded to the nearest ten? -120 Let g = -236637 + 236566.01024. Let k = 71 + g. What is k rounded to three decimal places? 0.01 Let x = -684 - -385. Let r = 299.604 + x. What is r rounded to 1 decimal place? 0.6 Let y(h) be the second derivative of -h**2 - 2/3*h**4 + 8*h**5 + 0 + 5/6*h**3 - 7*h. Let x be y(6). Round x to the nearest one thousand. 34000 Let o = 0.0105 + 0.0093. What is o rounded to two dps? 0.02 Let o be ((-3601488)/2)/(-11) + -4. What is o rounded to the nearest ten thousand? 160000 Let g(r) = 110*r**3 + 3*r**2 - 3*r + 2. Let h be g(3). What is h rounded to the nearest one hundred? 3000 Let h be 76*1*(-14)/(-56). Suppose -4*y = -h*y - 285. What is y rounded to the nearest ten? -20 Suppose -79*b - 9702 = -65*b. What is b rounded to the nearest one hundred? -700 Let c = -24.042 + 1.402. Let y = -29 - -52. Let u = c + y. Round u to one dp. 0.4 Let s = -20.39 + 0.39. Let i = s + -6. Let v = -26.00256 - i. What is v rounded to four dps? -0.0026 Let p(l) = 547526*l - 3. Let a be p(3). Let o be (-3)/(-6)*1165*-1910. Let r = o + a. What is r rounded to the nearest one hundred thousand? 500000 Let r(w) = 16310008*w + 80. Let v be r(-10). Round v to the nearest 1000000. -163000000 Let t = -47 + 47.0000129. Round t to six decimal places. 0.000013 Let t be (-6)/(-21) + 12/7. Let x be (10152 + t)/(2 + -4). Let n = 2877 + x. What is n rounded to the nearest one thousand? -2000 Let z = 57.378209 - 56.33521571. Let n = 1.043 - z. What is n rounded to six decimal places? 0.000007 Let n = 154 - 164.1. Let b = n - -1.1. Let r = b + 9.0000236. What is r rounded to six dps? 0.000024 Let i = 11325 - 25791. Suppose -15*a = -11*a - 23464. Let v = a + i. Round v to the nearest 1000. -9000 Let m = 0.181 + -3.261. Let w = m - -0.08. Let a = w - -2.999997. What is a rounded to 6 dps? -0.000003 Let h = -29.8 - -38. Let z = -1 + h. What
{ "pile_set_name": "DM Mathematics" }
26216*q - 26448*q - 1624 for q. -7 Solve 196*j + 259 - 1075 = 948 for j. 9 Solve 15524 = -1409*h - 693 - 13372 for h. -21 Solve 1697*i = 480*i - 1460*i + 339979 for i. 127 Solve 7686*y - 8543*y - 93413 = 0 for y. -109 Solve 682798*d - 342 = 682807*d for d. -38 Solve -16*w - 72*w - 1623 + 1644 = 4597 for w. -52 Solve 0 = 1169*u - 5479 - 6907 - 2811 for u. 13 Solve 434*b = 4628*b - 98510 + 366926 for b. -64 Solve 0 = -7*h + 117*h - 432*h - 583*h + 17195 for h. 19 Solve -19587 = 240*d - 481*d - 440*d + 30126 for d. 73 Solve -6522*d + 6939*d - 23894 = -8048 for d. 38 Solve 32989 = -168*v + 16066 + 8523 for v. -50 Solve -100*u + 154*u + 1463 = 131*u for u. 19 Solve -339 = 173*j + 202*j + 36 for j. -1 Solve -82*v - 6875 + 9192 = -8917 for v. 137 Solve -299*y + 20554 = -121*y - 417*y for y. -86 Solve 8511*o + 226620 = 957*o for o. -30 Solve 203 = -76*k - 249 + 72 for k. -5 Solve -453965 = 112*s - 448141 for s. -52 Solve 0 = -401*v - 2599 - 3015 for v. -14 Solve -16594 + 16496 = -49*u for u. 2 Solve 1999 = 97*a + 499*a + 1692 + 6863 for a. -11 Solve -293*c - 38*c + 44599 - 12267 = 217*c for c. 59 Solve -2191*h + 2025*h = -1162 for h. 7 Solve -238094 = -11866*c - 136796 + 230950 for c. 28 Solve -179*j + 468*j - 5466 = 603 for j. 21 Solve -667*u - 3100 = -408*u - 383*u for u. 25 Solve 2133 = 47*u + 656*u + 26738 for u. -35 Solve 33*n - 468 - 377 = -317 for n. 16 Solve 2891*y - 724 = 3253*y for y. -2 Solve -54*w + 54*w = -34*w - 1199 - 25 for w. -36 Solve 824 - 2139 = 107*u + 3179 for u. -42 Solve -51*n + 30479 = 32876 for n. -47 Solve 68455 = 486*d + 77203 for d. -18 Solve 331*t = -2501*t + 39*t - 120099 for t. -43 Solve 2017*o - 18662 = 1508 for o. 10 Solve 192*d - 54*d = 59*d + 67*d - 216 for d. -18 Solve -49*g + 5346 = 5542 for g. -4 Solve 308*r + 371*r - 108584 = -429*r for r. 98 Solve -2751628*v + 2751688*v - 360 = 0 for v. 6 Solve 74*s - 501 - 683 = 4*s - 4*s for s. 16 Solve 2*h + 10*h = -22*h - 1870 for h. -55 Solve 4332*m = 4366*m - 1870 for m. 55 Solve 33262 = 4424*g + 235470 + 5720 for g. -47 Solve -223338*b + 223340*b + 56 = -46 for b. -51 Solve -188075 = 166*u + 580*u - 4955*u - 11297 for u. 42 Solve -47247 = 971*d + 687*d + 110263 for d. -95 Solve -23*s - 88*s = 141*s - 8172 + 2124 for s. 24 Solve 9330741*l - 46515 = 9330298*l for l. 105 Solve 348*j + 36491 - 314078 = -3675*j for j. 69 Solve 278*s + 365*s = 418*s - 854*s + 56108 for s. 52 Solve 0 = 52*c - 38*c + 100*c - 228 for c. 2 Solve -626*i - 23521 = -27903 for i. 7 Solve 0 = 373*q - 557*q + 7728 for q. 42 Solve 388*t - 444036 = -4047*t + 54264 - 103585 for t. 89 Solve 176*m + 113*m = 59*m - 4140 for m. -18 Solve -102*r - 112*r + 2201 = 6505 + 2330 for r. -31 Solve 0 = 16*i + 11457363 - 11457843 for i. 30 Solve 214 + 664 = 75*h + 1553 for h. -9 Solve 0 = 35*v - 41*v + 305*v + 21827 for v. -73 Solve -72*n + 2740 = -81*n - 265*n for n. -10 Solve -9000 = -2348*h + 1348*h for h. 9 Solve -437*u - 947*u - 3613 = 79427 for u. -60 Solve 126*n - 949 = 5977 + 382 for n. 58 Solve -92814*f = -90439*f - 116375 for f. 49 Solve -11*n + 109 + 89 = -107 - 80 for n. 35 Solve 40*c + 6633 = 72*c + 169*c for c. 33 Solve 173223 + 149324 = -11814*y - 31873 for y. -30 Solve -179*x - 99 + 5451 = 44*x for x. 24 Solve 235*s - 108 = -94 + 1866 for s. 8 Solve -20*j - 406*j = -15683 + 4181 for j. 27 Solve -817*z + 91*z - 384*z = -2452 + 16882 for z. -13 Solve 33*d + 2516 - 10389 = -148*d + 11313 for d. 106 Solve 0 = 755*k + 17200 + 37915 for k. -73 Solve 279*t + 1419 = -1245 - 6822 for t. -34 Solve 30063 = -747*n - 40*n - 631*n + 4539 for n. -18 Solve 0 = 218*x - 561416 + 570572 for x. -42 Solve 7247 = -613*h + 762*h - 10484 for h. 119 Solve 503*i - 9782 = 2793 for i. 25 Solve -123*f + 1512 = 120*f - 207*f - 432 for f. 54 Solve 0 = 539*x - 233*x - 8245 - 5831 for x. 46 Solve -50186*t + 7585 = -49771*t - 11505 for t. 46 Solve 33070*q - 33010*q = -2340 for q. -39 Solve -135*q + 617 - 286 = -884 for q. 9 Solve 1235*h + 10068 = 65718 + 19685 for h. 61 Solve 236*p = -307*p + 348*p - 18915 for p. -97 Solve -700*q - 231*q - 183*q + 44021 - 47363 = 0 for q. -3 Solve 166*i - 159*i = -68*i + 1650 for i. 22 Solve 594*b = 264*b + 8910 for b. 27 Solve 0 = 14901*m + 367860 + 165209 + 495100 for m. -69 Solve -6268 = -5132*h + 7020 + 17504 for h. 6 Solve -55*g - 58 - 2033 = 584 - 365 for g. -42 Solve -296*q + 41940 = 263*q + 140*q for q. 60 Solve -3082*a + 3188*a = 5724 for a. 54 Solve 16324 = 324*h - 4088 for h. 63 Solve 1205*q - 12359 = 2058 + 1248 for q. 13 Solve 483*r - 1604*r + 23541 = 0 for r. 21 Solve -62*a + 248*a = -222*a - 13056 for a. -32 Solve -201*t - 103110 + 96276 = 0 for t. -34 Solve 277*d + 30972964 - 30993739 = 0 for d. 75 Solve 171*r - 5677 + 3322 = 14*r for r. 15 Solve -60*j - 33*j - 12*j - 54*j - 795 = 0 for j. -5 Solve 134147*v = 134159*v - 288 for v. 24 Solve 0 = -2303*o - 14498 - 47683 for o. -27 Solve -10075 = 87*t - 258*t - 3577 for t. 38 Solve -1864*l + 16115 + 10776 - 4769 = 3482 for l. 10 Solve -435*o + 696 = 3306 for o. -6 Solve 26933 - 64112 = 2268*y + 26325 for y. -28 Solve -104*n - 1738 - 2674 + 982 = -34*n for n. -49 Solve 639*t = 968*t + 3998*t - 341833 for t. 79 Solve -79*c + 23702 = 117*c - 27*c + 14238 for c. 56 Solve -68*t + 371*t - 205 = 704 for t. 3 Solve 60*n = 17*n - 65*n - 295*n - 20956 for n. -52 Solve -17210*b + 17293*b - 577 = 419 for b. 12 Solve 4774*f - 176*f + 117*f + 233276 = -242939 for f. -101 Solve 361*r - 990*r - 26287 - 5163 = 0 for r. -50 Solve -236*d - 14*d - 2163 + 22452 - 1789 = 0 for d. 74 Solve 228*f + 2184 = -659*f - 25*f - 180*f for f. -2 Solve 248*r + 1622*r - 89670 = 26270 for r. 62 Solve 200654 = 2721*o - 5168*o for o. -82 Solve -429*o - 236 = -3239 for o. 7 Solve 98*s = -53*s - 17*s + 336 for s. 2 Solve -11*t = 90*t - 64*t + 138*t + 7350 for t. -42 Solve 54457 = -195*r + 47632 for r. -35 Solve -327*w - 763*w = -46870 for w. 43 Solve 544*n - 35457 - 41735 = -30952 for n. 85 Solve 2906*p + 199583 + 34108 = -2619*p + 1694*p for p. -61 Solve -79*g + 164*g = -99*g - 120*g - 7600 for g. -25 Solve 1147 = -79*x - 65 - 1869 for x. -39 Solve 22996 + 23647 = -213*n + 21083 for n. -120 Solve -3316 + 7410 = -228*c - 3886 for c. -35 Solve 193*q = -45*q + 109*q - 33*q + 648 for q. 4 Solve 29*a - 60*a + 39*a - 44 - 20 = 0 for a. 8 Solve 1526*m - 90699 = -680*m - 380*m + 113595 for m. 79 Solve 0 = -44962*g + 44375*g - 3522 for g. -6 Solve 119*n + 443*n - 48332 = 0 for n. 86 Solve 3484 = -939*g + 887*g for g. -67 Solve -1266*a + 4124*a + 5240*a = -842192 for a. -104 Solve 1523*r + 2193*r + 272*r - 4346 = 171126 for r. 44 Solve 534*t - 497*t + 1480 = 0 for t. -40 Solve 191805 = -374*y + 185821 for y. -16 Solve -12680 + 48494 = 381*z for z. 94 Solve 350*l + 657 - 2779 = 328 for l. 7 Solve -3425*s + 210*s = 2168*s + 1015*s + 12796 for s. -2 Solve 1837*o + 14984 - 93572 = -287*o for o. 37 Solve -5967 - 4375 = -145*k - 173*k + 3650 for k. 44 Solve 134*j - 364 + 527 = -2031 - 1290 for j. -26 Solve 2172 = -285*n - 1181 - 2632 for n. -21 Solve -197*l - 66*l = -1240*l - 3234*l - 189495 for l. -45 Solve 7436 + 3809 = 420*x - 593*x for x. -65 Solve -1731*a = 2577*a - 1186*a + 124880 for a. -40 Solve 1051*z + 33909 = -10233 for z. -42 Solve 2521*s + 66296 + 90006 = 0 for s. -62 Solve 253*t = 3721*t + 104040 for t. -30 Solve -36*i = -16*i + 12*i + 1184 for i. -37 Solve 356*u - 12838 - 1442 = 25592 for u. 112 Solve -3194*l = -2900*l for l. 0 Solve -169*o - 3106 = -8007 for o. 29 Solve 0 = -364*g + 143737 - 158297 for g. -40 Solve -550*q - 2135 = -184*q + 3355 for q. -15 Solve 3386*h - 1697*h = 1731*h - 294 for h. 7 Solve 30 - 30 = 6*z + 54 for z. -9 Solve -4673*x + 3066*x + 73922 = 0 for x. 46 Solve -101*x + 1766*x - 138100 = -1097*x for x. 50 Solve -1358*k - 40754 = -784*k for k. -71 Solve 1191*x + 932*x - 31870 + 260376 = -1623*x for x. -61 Solve 39*c - 174703 + 172987 = 0 for c. 44 Solve -6371 = -23360*b + 23083*b for b. 23 Solve -556*g - 4946 + 19877 = -16205 for g. 56 Solve -2273 + 1733 = 96*o + 3972 for o. -47 Solve -267917 - 425209 = 13069*t - 2067*t for t. -63 Solve -81*a = 404*a - 3570 + 2600 for a. 2 Solve 36081 + 48672 = -4481*w + 21219 - 8162 for w. -16 Solve 3850 + 5028 = 128*o + 65*o for o. 46 Solve 15793*v + 621179 = 2089889 + 615966 for v. 132 Solve 41741*n - 929 = 41815*n +
{ "pile_set_name": "DM Mathematics" }
-77/338. 1352 Calculate the common denominator of 83/162 and -38/6345. 38070 What is the common denominator of -99/316 and 45/17? 5372 Calculate the smallest common multiple of 3 and 2. 6 Calculate the lowest common multiple of 16 and 32. 32 What is the least common multiple of 32 and 120? 480 Calculate the lowest common multiple of 3486 and 6. 3486 Calculate the common denominator of -27/812 and -39/20. 4060 Calculate the lowest common multiple of 966 and 69. 966 What is the lowest common multiple of 21 and 534? 3738 What is the smallest common multiple of 35 and 77? 385 Calculate the smallest common multiple of 5 and 2788. 13940 Calculate the lowest common multiple of 12 and 1474. 8844 Find the common denominator of -139/7254 and -77/26. 7254 Calculate the common denominator of -74/9 and 11/2861. 25749 What is the lowest common multiple of 339 and 4? 1356 Calculate the least common multiple of 3519 and 21. 24633 Calculate the smallest common multiple of 1518 and 30. 7590 Find the common denominator of -23/30 and -137/360. 360 Calculate the least common multiple of 1248 and 1716. 13728 Calculate the least common multiple of 9 and 105. 315 Calculate the common denominator of -52/21 and 4/2625. 2625 Calculate the smallest common multiple of 4760 and 2856. 14280 What is the lowest common multiple of 78 and 318? 4134 Calculate the lowest common multiple of 27 and 873. 2619 Calculate the smallest common multiple of 30 and 22. 330 What is the lowest common multiple of 54 and 22? 594 Calculate the smallest common multiple of 11 and 499. 5489 What is the common denominator of -125/48 and -4/7? 336 Find the common denominator of -111/3374 and 41/12. 20244 Calculate the least common multiple of 13992 and 5724. 125928 What is the least common multiple of 66 and 121? 726 Calculate the least common multiple of 160 and 1020. 8160 Find the common denominator of -55/134 and 127/6. 402 What is the common denominator of -51/14 and 31/4? 28 What is the least common multiple of 5 and 700? 700 What is the lowest common multiple of 600 and 40? 600 What is the lowest common multiple of 105 and 135? 945 What is the least common multiple of 132 and 264? 264 What is the common denominator of 23/24 and 101/36? 72 What is the least common multiple of 15 and 40? 120 What is the lowest common multiple of 561 and 357? 3927 What is the common denominator of 17/16 and 95/24? 48 What is the common denominator of 75/8 and 59/936? 936 What is the least common multiple of 7 and 102? 714 Calculate the least common multiple of 33 and 33. 33 What is the common denominator of -77/78 and -115/12? 156 What is the common denominator of -29/2 and 121/408? 408 Calculate the lowest common multiple of 24 and 15714. 62856 Calculate the common denominator of -77/64 and 39/46. 1472 Calculate the lowest common multiple of 1188 and 2. 1188 Calculate the common denominator of 19/10 and 17/210. 210 What is the lowest common multiple of 8 and 404? 808 Calculate the least common multiple of 16 and 59890. 479120 What is the least common multiple of 10 and 146? 730 Calculate the lowest common multiple of 12 and 310. 1860 Calculate the smallest common multiple of 93 and 8. 744 Find the common denominator of -53/1127 and -48/7. 1127 What is the lowest common multiple of 9 and 188? 1692 Calculate the least common multiple of 588 and 540. 26460 Calculate the least common multiple of 40 and 8. 40 What is the common denominator of -97/2268 and -109/3402? 6804 Calculate the least common multiple of 81 and 1080. 3240 What is the lowest common multiple of 60 and 5? 60 What is the lowest common multiple of 14646 and 8? 58584 What is the least common multiple of 5742 and 3132? 34452 Find the common denominator of -163/330 and -36/605. 3630 Calculate the least common multiple of 23768 and 1. 23768 Calculate the common denominator of -97/1110 and -46/1665. 3330 Calculate the common denominator of 32/2775 and 157/750. 27750 Find the common denominator of 45/38 and 77/452. 8588 Find the common denominator of -85/2098 and 41/20. 20980 Calculate the common denominator of 1/5 and 31/12. 60 Calculate the least common multiple of 936 and 936. 936 Calculate the common denominator of -61/12 and -1/12. 12 Calculate the common denominator of -9/200 and -13/60. 600 Calculate the common denominator of 31/96 and 49/18. 288 Calculate the smallest common multiple of 9691 and 3524. 38764 Calculate the lowest common multiple of 526 and 4. 1052 What is the smallest common multiple of 1128 and 88? 12408 Calculate the common denominator of 103/726 and -103/12. 1452 Calculate the least common multiple of 282 and 20. 2820 Calculate the smallest common multiple of 130 and 22. 1430 What is the lowest common multiple of 465 and 186? 930 What is the common denominator of -57/161 and 86/1239? 28497 Calculate the least common multiple of 9 and 66. 198 Calculate the common denominator of 1/12 and -93/118. 708 Find the common denominator of -97/6 and -23/710. 2130 What is the least common multiple of 22 and 4096? 45056 Calculate the common denominator of 139/90 and 23/30. 90 Calculate the least common multiple of 186 and 9. 558 Calculate the smallest common multiple of 130 and 1924. 9620 Calculate the common denominator of -5/3 and 13/57. 57 Find the common denominator of 71/21 and 14/9. 63 Calculate the least common multiple of 20 and 152. 760 What is the common denominator of 1/28 and -99/16? 112 Find the common denominator of -57/188 and 53/1222. 2444 What is the common denominator of -74/561 and 151/264? 4488 What is the common denominator of 4/537 and 5/24? 4296 Calculate the lowest common multiple of 38 and 96. 1824 Find the common denominator of 113/792 and -181/990. 3960 Calculate the common denominator of 137/36 and -161/150. 900 Calculate the smallest common multiple of 924 and 143. 12012 What is the smallest common multiple of 60 and 24? 120 What is the common denominator of -37/1452 and -19/396? 4356 What is the common denominator of -74/285 and 33/35? 1995 What is the common denominator of 31/352 and 81/160? 1760 Calculate the least common multiple of 43 and 2. 86 Find the common denominator of 7/104 and -123/110. 5720 Find the common denominator of 69/10 and -16/45. 90 Calculate the common denominator of -13/306 and 26/51. 306 What is the common denominator of -69/44 and -155/792? 792 What is the least common multiple of 168 and 21? 168 What is the lowest common multiple of 1104 and 3174? 25392 What is the common denominator of -27/200 and 73/675? 5400 Find the common denominator of 56/1859 and -83/676. 7436 What is the common denominator of 9/10 and 32/183? 1830 Calculate the least common multiple of 111 and 90. 3330 What is the common denominator of -63/220 and -1/100? 1100 What is the common denominator of -53/22 and 59/1052? 11572 What is the smallest common multiple of 3 and 2022? 2022 Find the common denominator of -25/473 and 55/7. 3311 What is the common denominator of 43/504 and 1/27? 1512 What is the smallest common multiple of 1 and 32? 32 Calculate the common denominator of -61/24 and 137/1968. 1968 What is the smallest common multiple of 143 and 44? 572 What is the smallest common multiple of 510 and 6? 510 Calculate the common denominator of -81/1034 and 61/4. 2068 What is the common denominator of 157/624 and 11/1040? 3120 What is the smallest common multiple of 175 and 175? 175 Calculate the common denominator of 59/5364 and 67/60. 26820 Calculate the least common multiple of 194 and 582. 582 What is the lowest common multiple of 48 and 444? 1776 Calculate the lowest common multiple of 323 and 6783. 6783 Calculate the common denominator of -14/13 and 32/143. 143 Calculate the common denominator of 31/2250 and -119/3600. 18000 Calculate the smallest common multiple of 5 and 10. 10 What is the lowest common multiple of 36 and 198? 396 What is the smallest common multiple of 1146 and 1528? 4584 Calculate the common denominator of 91/12 and 55/3. 12 What is the lowest common multiple of 288 and 12? 288 What is the common denominator of 59/64 and -101/64? 64 Calculate the least common multiple of 128 and 3376. 27008 What is the lowest common multiple of 252 and 210? 1260 What is the least common multiple of 26 and
{ "pile_set_name": "DM Mathematics" }
ds digit of 207368? 2 What is the ten thousands digit of 665774? 6 What is the millions digit of 1739447? 1 What is the thousands digit of 177992? 7 What is the hundreds digit of 133906? 9 What is the ten thousands digit of 404678? 0 What is the ten thousands digit of 3878357? 7 What is the hundreds digit of 5043843? 8 What is the tens digit of 485647? 4 What is the thousands digit of 127531? 7 What is the hundred thousands digit of 2046678? 0 What is the tens digit of 343385? 8 What is the ten thousands digit of 784215? 8 What is the thousands digit of 219860? 9 What is the hundreds digit of 1509858? 8 What is the ten thousands digit of 102553? 0 What is the units digit of 60092? 2 What is the hundreds digit of 424034? 0 What is the hundreds digit of 323942? 9 What is the ten thousands digit of 10530035? 3 What is the ten millions digit of 18154210? 1 What is the hundred thousands digit of 412337? 4 What is the millions digit of 19810741? 9 What is the hundred thousands digit of 10395164? 3 What is the ten thousands digit of 955310? 5 What is the units digit of 11645893? 3 What is the millions digit of 5460046? 5 What is the hundred thousands digit of 9810733? 8 What is the ten thousands digit of 427007? 2 What is the ten thousands digit of 54710? 5 What is the thousands digit of 11052970? 2 What is the hundred thousands digit of 278479? 2 What is the thousands digit of 233498? 3 What is the units digit of 906931? 1 What is the hundred thousands digit of 1381859? 3 What is the millions digit of 3059163? 3 What is the thousands digit of 102193? 2 What is the units digit of 1649565? 5 What is the units digit of 443925? 5 What is the units digit of 7305546? 6 What is the hundreds digit of 289631? 6 What is the thousands digit of 879276? 9 What is the units digit of 421904? 4 What is the thousands digit of 789544? 9 What is the hundred thousands digit of 261889? 2 What is the hundred thousands digit of 569421? 5 What is the hundred thousands digit of 771741? 7 What is the thousands digit of 194697? 4 What is the hundreds digit of 2388325? 3 What is the hundred thousands digit of 294569? 2 What is the hundred thousands digit of 156098? 1 What is the ten thousands digit of 13582036? 8 What is the millions digit of 8623840? 8 What is the ten thousands digit of 587590? 8 What is the thousands digit of 452053? 2 What is the millions digit of 6271370? 6 What is the tens digit of 712151? 5 What is the hundreds digit of 8632424? 4 What is the units digit of 116713? 3 What is the hundred thousands digit of 10037596? 0 What is the units digit of 485304? 4 What is the thousands digit of 106244? 6 What is the ten millions digit of 23718766? 2 What is the thousands digit of 428435? 8 What is the hundreds digit of 1298947? 9 What is the hundred thousands digit of 119900? 1 What is the hundred thousands digit of 590267? 5 What is the units digit of 986426? 6 What is the thousands digit of 9310400? 0 What is the hundreds digit of 182439? 4 What is the thousands digit of 1395193? 5 What is the thousands digit of 2273286? 3 What is the units digit of 15736370? 0 What is the ten thousands digit of 508982? 0 What is the hundred thousands digit of 1732667? 7 What is the hundred thousands digit of 10569216? 5 What is the hundreds digit of 1148101? 1 What is the units digit of 39872? 2 What is the millions digit of 1088319? 1 What is the hundreds digit of 598442? 4 What is the tens digit of 54194? 9 What is the hundreds digit of 237579? 5 What is the ten millions digit of 16559332? 1 What is the tens digit of 2704291? 9 What is the tens digit of 2260106? 0 What is the hundreds digit of 65082? 0 What is the ten thousands digit of 489596? 8 What is the ten thousands digit of 91634? 9 What is the tens digit of 26525174? 7 What is the units digit of 61476? 6 What is the ten thousands digit of 6403505? 0 What is the hundreds digit of 3213708? 7 What is the hundreds digit of 4249078? 0 What is the hundreds digit of 425427? 4 What is the hundreds digit of 267008? 0 What is the hundred thousands digit of 19290357? 2 What is the units digit of 2025767? 7 What is the thousands digit of 353099? 3 What is the millions digit of 2417409? 2 What is the units digit of 628396? 6 What is the ten thousands digit of 42929419? 2 What is the units digit of 3478489? 9 What is the hundred thousands digit of 11112769? 1 What is the millions digit of 6834028? 6 What is the hundred thousands digit of 175906? 1 What is the units digit of 4463933? 3 What is the ten thousands digit of 1434958? 3 What is the thousands digit of 195482? 5 What is the hundreds digit of 965127? 1 What is the millions digit of 3291684? 3 What is the millions digit of 16300984? 6 What is the thousands digit of 230131? 0 What is the thousands digit of 1749186? 9 What is the tens digit of 1113903? 0 What is the hundreds digit of 346155? 1 What is the hundreds digit of 166800? 8 What is the thousands digit of 983187? 3 What is the hundred thousands digit of 182200? 1 What is the millions digit of 2453135? 2 What is the hundred thousands digit of 3670939? 6 What is the tens digit of 262779? 7 What is the tens digit of 56155? 5 What is the hundreds digit of 59842? 8 What is the units digit of 42721? 1 What is the tens digit of 3845338? 3 What is the units digit of 2820590? 0 What is the millions digit of 2155269? 2 What is the thousands digit of 2064261? 4 What is the thousands digit of 914907? 4 What is the thousands digit of 628979? 8 What is the tens digit of 1866042? 4 What is the ten thousands digit of 1103718? 0 What is the tens digit of 829482? 8 What is the tens digit of 4380623? 2 What is the millions digit of 8056346? 8 What is the millions digit of 6323804? 6 What is the hundreds digit of 112904? 9 What is the hundred thousands digit of 977466? 9 What is the millions digit of 1943050? 1 What is the thousands digit of 126770? 6 What is the units digit of 121806? 6 What is the hundreds digit of 185710? 7 What is the millions digit of 15199906? 5 What is the millions digit of 3802808? 3 What is the tens digit of 4710897? 9 What is the hundreds digit of 31324214? 2 What is the hundreds digit of 2540315? 3 What is the hundreds digit of 21750979? 9 What is the units digit of 643932? 2 What is the thousands digit of 10899034? 9 What is the tens digit of 490507? 0 What is the ten thousands digit of 243786? 4 What is the hundred thousands digit of 423916? 4 What is the hundred thousands digit of 18902340? 9 What is the ten thousands digit of 25558? 2 What is the ten thousands digit of 3249882? 4 What is the tens digit of 544528? 2 What is the tens digit of 1249472? 7 What is the millions digit of 9015637? 9 What is the hundred thousands digit of 703723? 7 What is the tens digit of 217959? 5 What is the hundreds digit of 11994111? 1 What is the hundred thousands digit of 6509584? 5 What is the units digit of 280114? 4 What is the thousands digit of 215467? 5 What is the millions digit of 6511866? 6 What is the tens digit of 626443? 4 What is the hundreds digit of 8812159? 1 What is the millions digit of 15649893? 5 What is the ten millions digit of 13308761? 1 What is the hundreds digit of 1357178? 1 What is the millions digit of 3471893? 3 What is the hundreds digit of 668979? 9 What is the hundred thousands digit of 616455? 6 What is the ten thousands digit of 236302? 3 What is the tens digit of 32129814? 1 What is the hundreds digit of 9478018? 0 What is the thousands digit of 82175? 2 What is the units digit of 3785928? 8 What is the thousands digit of 6521538? 1 What is the thousands digit of 6299679? 9 What is the ten thousands digit of 1118507? 1 What is the hundred thousands digit of 190284? 1 What is the hundreds digit of 323640? 6 What is the hundred thousands digit of 4450809? 4 What is the ten thousands digit of 298846? 9 What is the units digit of 2290689? 9 What is the millions digit of 1369627? 1 What is the thousands digit of 4117177? 7 What is the units digit of 381446? 6 What is the units digit of 6714504? 4 What is the ten thousands digit of 55273? 5 What is the thousands digit of 6892283? 2 What is the tens digit of 1519082? 8 What is the hundreds digit of 934092? 0 What is the tens digit of 12438? 3
{ "pile_set_name": "DM Mathematics" }
e 5, what is 21330201124 + 2? 21330201131 In base 2, what is 1001100011000101101 - -1111101110? 1001100101000011011 In base 7, what is -15 - -1122020606? 1122020561 In base 16, what is -5fc - 2446? -2a42 In base 15, what is 68667 + -2a7? 683b0 In base 5, what is 1430421 - -13314? 1444240 In base 15, what is -7877864 + 0? -7877864 In base 12, what is 5 + -127a6206? -127a6201 In base 5, what is 1244214233 - -3441? 1244223224 In base 7, what is -1325141151 + 30? -1325141121 In base 14, what is -1a12883 + 12? -1a12871 In base 4, what is 11 - -23223032100133? 23223032100210 In base 13, what is 1940 + -2286? -646 In base 15, what is 1b2aba - -5? 1b2ac0 In base 3, what is 20222012121020 + 0? 20222012121020 In base 13, what is 21ac + -51ac? -3000 In base 11, what is -2801088 + -7? -2801094 In base 15, what is -465 + 2ae50? 2a9da In base 15, what is 36291a + -c? 36290d In base 13, what is 3 - -1084ca1? 1084ca4 In base 7, what is 300 + 52600? 53200 In base 15, what is 35ed - -24? 3622 In base 9, what is 5532 + 2702? 8334 In base 14, what is -1da1244 - 0? -1da1244 In base 6, what is -2410352 - 351? -2411143 In base 3, what is 2021002002 - 2120? 2020222112 In base 8, what is -16010 + -53? -16063 In base 8, what is -340736 + -6? -340744 In base 5, what is -4201003 + -30212? -4231220 In base 15, what is -4352 + 8a7? -399a In base 16, what is 13 + 2281b0? 2281c3 In base 2, what is 1101001101011111011011001 - 10? 1101001101011111011010111 In base 14, what is 225d3b05 + -3? 225d3b02 In base 2, what is 11011101100111110 + 111? 11011101101000101 In base 7, what is -50405311 + -4? -50405315 In base 14, what is -1401aa9a - -5? -1401aa95 In base 6, what is 1 + -422533404? -422533403 In base 7, what is -506504323 - 3? -506504326 In base 7, what is 144041030 - -13? 144041043 In base 11, what is -1117 - 38a31? -3a048 In base 13, what is -127ba + 56a? -12250 In base 7, what is -1 - 3210141223? -3210141224 In base 10, what is -3 - -9296056? 9296053 In base 5, what is -22343013000 + 0? -22343013000 In base 9, what is -28 - 377103? -377132 In base 8, what is 2250014 - 177? 2247615 In base 10, what is -382 + 11691? 11309 In base 14, what is -15c3 - -14a18? 13435 In base 12, what is 4 - -2a8a9b7? 2a8a9bb In base 4, what is 2 + 2000010112333? 2000010113001 In base 11, what is 5 - -540727a? 5407284 In base 13, what is 47c - -17973? 18122 In base 11, what is -70 - -25365? 252a5 In base 13, what is -172929 + -21? -17294a In base 4, what is -1032031 - -233211? -132220 In base 13, what is a393b - 17? a3924 In base 6, what is 4444555 + -1040? 4443515 In base 7, what is 5525464 - 40? 5525424 In base 6, what is -121152 - 1402? -122554 In base 7, what is 22 - -341656104? 341656126 In base 4, what is 1303302 - 30112130? -22202222 In base 11, what is -19 + 2422679? 2422660 In base 13, what is -6 - ca494bb? -ca494c4 In base 5, what is 131324414222 - 2? 131324414220 In base 4, what is -3 + 11323331312113? 11323331312110 In base 13, what is c - -1113c311? 1113c320 In base 5, what is -113411204 + -12122? -113423331 In base 10, what is 10532504 + 164? 10532668 In base 10, what is 768 - 5174? -4406 In base 7, what is -215 + -105256? -105504 In base 5, what is 112442 - 13223134? -13110142 In base 14, what is -10 - 7b39058? -7b39068 In base 9, what is -207 + 150630? 150422 In base 12, what is 22005 + -699? 21528 In base 7, what is 150 - -34106532? 34110012 In base 2, what is 10011000011110011111 - 1111111? 10011000011100100000 In base 3, what is 211 + -1110002110000? -1110002102012 In base 3, what is 110 - -220202101221? 220202102101 In base 12, what is -42974 - 1376? -4412a In base 4, what is -3102221122 + 20? -3102221102 In base 8, what is 64 - 715407? -715323 In base 4, what is 0 - 10031123010? -10031123010 In base 8, what is 4 - 52167555? -52167551 In base 5, what is -13442 + -10043? -24040 In base 5, what is -21300301 + -30210? -21331011 In base 4, what is 110311023 - 20003? 110231020 In base 11, what is 0 + 17852201? 17852201 In base 10, what is -5 + -6511811? -6511816 In base 2, what is 11000 + 10100100111111010110111? 10100100111111011001111 In base 2, what is 11011 + 110101011000010110? 110101011000110001 In base 15, what is -2ec9 - -3ea7? ecd In base 4, what is 1202202 - 12000131? -10131323 In base 13, what is 2a89a5 + -7? 2a899b In base 9, what is 3783557 + -518? 3783038 In base 7, what is 420 - -315064? 315514 In base 10, what is 29 - 9270782? -9270753 In base 15, what is -1193aa + -c2? -11947c In base 3, what is 20112020201012 - -11? 20112020201100 In base 3, what is -10011122202 + -121110201? -10210010110 In base 13, what is -4 - 10b99739? -10b99740 In base 9, what is -2 + 1251278? 1251276 In base 13, what is -b9c - 92? -c61 In base 16, what is -472 - -1655? 11e3 In base 5, what is 1201202 + 20230? 1221432 In base 9, what is 0 + 306155451? 306155451 In base 13, what is 5 - 23a4119? -23a4114 In base 9, what is 472528111 + 2? 472528113 In base 3, what is -12 + -122202212001021? -122202212001110 In base 11, what is -34 - -2967044? 2967010 In base 4, what is -2230333 + -21002200? -23233133 In base 2, what is -1010 + -100111001100011000011101000? -100111001100011000011110010 In base 8, what is -267 - -340607? 340320 In base 10, what is -3 - -929344? 929341 In base 5, what is -320 + 24442121? 24441301 In base 3, what is -211111201112022 - 101? -211111201112200 In base 15, what is 3d + 22c99? 22cd7 In base 10, what is -91411 + -1487? -92898 In base 16, what is -6350 - 5e1? -6931 In base 3, what is 21222111102 + 122? 21222112001 In base 16, what is -c - 22937? -22943 In base 10, what is -458865 + 558? -458307 In base 9, what is 132438 - -5626? 138165 In base 9, what is 8056 + -3273? 4673 In base 10, what is 2901619 - 29? 2901590 In base 12, what is -85701641 - 2? -85701643 In base 13, what is -ca4a4c1 - -5? -ca4a4b9 In base 15, what is -5a1 - 3365? -3916 In base 8, what is 35 + -40277027? -40276772 In base 3, what is 12111 + -111102201112? -111102112001 In base 12, what is 1aa9 + 67a3? 8690 In base 6, what is 3 + 320311543? 320311550 In base 12, what is 31a47 + 121b? 33066 In base 13, what is 1 + -3103c553? -3103c552 In base 12, what is 124 + 96551? 96675 In base 10, what is 919702953 + 3? 919702956 In base 7, what is 63 - 5044506? -5044413 In base 14, what is -37 - -74d32? 74cd9 In base 15, what is -d7 + -1b2291? -1b2378 In base 6, what is -34012304 + 52? -34012212 In base 13, what is -5874b - c? -5875a In base 13, what is 3b76a5 - -35? 3b770a In base 14, what is 6938 + -2523? 4415 In base 3, what is -111212211012200 - -11? -111212211012112 In base 6, what is -33 + -1403545? -1404022 In base 10, what is -215483021 - 0? -215483021 In base 10, what is -1961203 + 6? -1961197 In base 3, what is 1010001020210 - 11? 1010001020122 In base 12, what is -2698 + -2084? -4760 In base 12, what is 12bb401 + 2? 12bb403 In base 3, what is -11211 - -212211021101? 212211002120 In base 16, what is -1a746 + 77? -1a6cf In base 15, what is 1c95e6 + c? 1c9603 In base 14, what is 898 + 10a48? 11502 In base 8, what is 12416040 - -3? 12416043 In base 12, what is 64a8180 - -2? 64a8182 In base 16, what is -2bfce2 + 1? -2bfce1 In base 6, what is -110413442 + 0? -110413442 In base 16, what is 4 + 177a9c9? 177a9cd In base 3, what is 11 - -10201202122101? 10201202122112 In base 3, what is 1200001010 + 12121022? 1212122102 In base 7, what is -1 - -36321060? 36321056 In base 15, what is 3a3 - -4195? 4548 In base 8, what is 357 - 315371? -315012 In base 14, what is -53929 - -5? -53924 In base 4, what is -201030031011 - 1010? -201030032021 In base 2, what is 100 - -100101100001001101101000110? 100101100001001101101001010 In base 13, what is 74b130 + 10? 74b140 In base 11, what is 9196 + -15920? -7735 In base 2, what is 10 + 110100011111010001101? 110100011111010001111 In base 2, what is 1001101101111101111011101 - -101? 1001101101111101111100010 In base 3, what is 2222122022121022 + 1? 2222122022121100 In base 2, what is -100010011111110011110100100 + -10? -100010011111110011110100110 In base 11, what is 95407 + 990? 96297 In base 11, what is 3 - 1a10736? -1a10733 In base 5, what is -20433 + 230230? 204242 In base 9, what is -137 + -43643? -43781 In base 14, what is -1d + -289a1? -289c0 In base 10, what is -12888439
{ "pile_set_name": "DM Mathematics" }
False Is 5064270 a multiple of 1408? False Is 339372 a multiple of 71? False Does 157 divide 785? True Does 16 divide 2099568? True Is 137890 a multiple of 31? False Is 132815 a multiple of 8? False Does 8 divide 11052936? True Does 170 divide 55760? True Is 61 a factor of 93879? True Is 288646 a multiple of 82? False Is 101088 a multiple of 243? True Is 51 a factor of 162040? False Is 131625 a multiple of 13? True Is 28 a factor of 1040732? True Does 111 divide 17123193? True Does 145 divide 2336187? False Does 37 divide 76733? False Does 38 divide 161386? True Is 24 a factor of 1032576? True Is 6038 a multiple of 3? False Does 320 divide 494720? True Does 18 divide 5948028? True Is 318809 a multiple of 198? False Is 1174 a factor of 14574036? True Is 3899664 a multiple of 108? True Is 4076095 a multiple of 718? False Is 5235456 a multiple of 136? True Does 5 divide 38564? False Is 163 a factor of 163? True Is 123900 a multiple of 60? True Is 1898680 a multiple of 51? False Does 100 divide 2289332? False Is 209 a factor of 8017637? False Is 159 a factor of 554115? True Is 10 a factor of 87553? False Is 136 a factor of 148480? False Is 119798 a multiple of 602? True Does 26 divide 97250? False Is 509249 a multiple of 24? False Does 512 divide 3660288? True Does 280 divide 1290520? True Does 191 divide 129880? True Does 6 divide 4332222? True Is 40 a factor of 1897345? False Is 28211 a multiple of 15? False Is 118677 a multiple of 41? False Is 956 a factor of 901263? False Is 241 a factor of 10363? True Is 119183 a multiple of 40? False Is 523 a factor of 2689789? True Is 231 a factor of 2556708? True Is 25025 a multiple of 175? True Is 28 a factor of 41664? True Does 635 divide 175895? True Is 221 a factor of 71400? False Is 19 a factor of 514875? False Is 379 a factor of 513166? True Is 29704 a multiple of 25? False Is 105 a factor of 17535? True Is 26378 a multiple of 11? True Is 339715 a multiple of 352? False Is 352628 a multiple of 10? False Does 2 divide 20850? True Is 57323 a multiple of 13? False Does 182 divide 7375004? True Is 927510 a multiple of 258? True Is 21011 a multiple of 11? False Is 3405591 a multiple of 1022? False Is 15 a factor of 226275? True Is 5712971 a multiple of 29? True Is 407706 a multiple of 78? True Does 223 divide 3568? True Is 1386 a multiple of 8? False Does 57 divide 246144? False Is 9344430 a multiple of 9? True Is 26 a factor of 115068? False Is 392080 a multiple of 13? True Does 52 divide 72228? True Is 252540 a multiple of 9? True Is 5795583 a multiple of 120? False Is 172 a factor of 546001? False Does 11 divide 4343761? False Is 2170954 a multiple of 337? True Does 16 divide 626798? False Does 235 divide 3923795? True Is 545615 a multiple of 54? False Does 17 divide 1110789? False Is 17534 a multiple of 40? False Is 10 a factor of 8793? False Is 14914617 a multiple of 391? False Is 1764442 a multiple of 14? False Is 2096495 a multiple of 23? False Is 2602321 a multiple of 424? False Does 20 divide 1160056? False Does 13 divide 39364? True Is 1336909 a multiple of 577? True Is 23 a factor of 93633? True Is 22770 a multiple of 1035? True Is 403 a factor of 6419319? False Is 6 a factor of 38774? False Is 87 a factor of 8787? True Is 315 a factor of 394203? False Is 51146 a multiple of 8? False Is 39216 a multiple of 4? True Is 109248 a multiple of 16? True Is 2907880 a multiple of 608? False Does 356 divide 172304? True Does 138 divide 9059010? True Is 11 a factor of 1439581? True Does 668 divide 12706387? False Is 83 a factor of 167672? False Is 35 a factor of 44370970? True Is 27 a factor of 587419? False Does 36 divide 235516? False Does 24 divide 4363704? True Does 7 divide 1241583? True Does 22 divide 3068936? False Is 563780 a multiple of 303? False Is 3924449 a multiple of 6? False Is 1067272 a multiple of 284? True Does 827 divide 1356232? False Is 18 a factor of 164700? True Is 12150 a multiple of 9? True Is 245584 a multiple of 184? False Is 900714 a multiple of 196? False Does 32 divide 11559? False Is 59640 a multiple of 303? False Does 15 divide 424050? True Does 145 divide 704471? False Does 326 divide 21569138? True Does 26 divide 5138822? True Does 97 divide 507213? True Does 15 divide 75810? True Does 48 divide 3086386? False Is 40663 a multiple of 17? False Is 11461406 a multiple of 157? False Is 9 a factor of 121767? False Does 3 divide 3467? False Does 16 divide 4018085? False Is 138 a factor of 2719842? True Is 15 a factor of 12419007? False Does 31 divide 197811? True Is 3922679 a multiple of 24? False Is 24 a factor of 5160? True Is 1097 a factor of 3171427? True Is 404155 a multiple of 11? False Does 7 divide 1312758? False Is 45558 a multiple of 4? False Is 975697 a multiple of 199? True Does 44 divide 32242? False Does 8 divide 105456? True Is 1608 a factor of 5273711? False Is 1031 a factor of 714699? False Is 15 a factor of 2343795? True Is 126 a factor of 873525? False Is 549 a factor of 455451? False Is 698 a factor of 11051720? False Does 80 divide 37360? True Is 212649 a multiple of 73? True Is 8 a factor of 3711138? False Is 7665811 a multiple of 41? True Does 220 divide 167640? True Does 38 divide 1638750? True Is 1990 a factor of 11146415? False Does 30 divide 320070? True Is 91100 a multiple of 138? False Is 218 a factor of 1974208? True Is 685 a factor of 222334? False Is 12 a factor of 72442? False Does 27 divide 349866? True Is 4 a factor of 1784304? True Does 34 divide 176064? False Does 2 divide 105195? False Is 1604 a factor of 5131876? False Does 54 divide 461160? True Does 21 divide 1986948? False Does 20 divide 7428320? True Is 45 a factor of 9124605? True Is 136 a factor of 576474? False Does 16 divide 11322? False Is 5 a factor of 8254430? True Is 12793116 a multiple of 196? True Does 112 divide 21504? True Is 97 a factor of 6572914? True Is 19 a factor of 1789049? False Does 15 divide 1379431? False Is 91 a factor of 229866? True Is 8 a factor of 541616? True Is 280952 a multiple of 14? True Does 24 divide 15751811? False Is 11 a factor of 552413? False Is 3 a factor of 2589912? True Does 272 divide 25296039? False Is 971361 a multiple of 221? False Does 31 divide 5036229? True Does 18 divide 190602? True Is 7626452 a multiple of 11? False Is 18 a factor of 247212? True Is 22 a factor of 199628? True Is 8 a factor of 9472? True Does 184 divide 529808? False Is 107 a factor of 1158439? False Is 296 a factor of 110408? True Is 519574 a multiple of 59? False Is 164 a factor of 286508? True Is 7 a factor of 2039369? False Does 48 divide 233029? False Is 75208 a multiple of 119? True Does 1005 divide 1313005? False Is 95 a factor of 54988? False Is 11 a factor of 102712? False Is 65830 a multiple of 3? False Does 206 divide 317858? True Is 219 a factor of 2019719? False Is 7019 even? False Is 42 a factor of 1059744? True Is 156384 a multiple of 15? False Does 201 divide 13482477? True Is 28 a factor of 2831081? False Is 4454 a multiple of 57? False Does 760 divide 8463360? True Is 1812127 a multiple of 1531? False Is 1338496 a multiple of 20? False Is 21 a factor of 84281? False Is 21123 a multiple of 10? False Is 9 a factor of 669173? False Does 67 divide 1479150? False Is 28 a factor of 392336? True Is 6370046 a multiple of 1050? False Is 5 a factor of 16491? False Does 97 divide 3320892? True Does 78 divide 5492448? True Is 21690 a multiple of 6? True Does 256 divide 795904? True Is 133 a factor of 175462? False Is 29 a factor of 280024? True Is 17287694 a multiple of 36? False Is 1011 a factor of 1868204? False Is 230 a multiple of 10? True Is 21 a factor of 328881? True Does 629 divide 8247152? False Is 874378 a multiple of 34? True Does 19 divide 2053567? False Does 495 divide 38115? True Is 559127 a multiple of 39? False Does 7 divide 88238? False Is 22223863 a multiple of 40? False Is 57164 a multiple of 53? False Is 527481 a multiple of 43? True Does 6 divide 5741? False Is 713106 a multiple of 687? True Is 894 a factor of 2954535? False Is 23 a factor of 5426321? True Does 13 divide 52142? False Is 115 a factor of 34020? False Does 1036 divide 2470173? False Is 502922 a multiple of 14? True Does 41 divide 1330204? True Is 71 a factor of 1215221? F
{ "pile_set_name": "DM Mathematics" }
mainder when q is divided by 14? 13 Let s(t) = t + 1. Let v be s(3). Suppose 32 = 2*z - 5*y, 0 = v*y - 3*y. Calculate the remainder when 61 is divided by z. 13 Suppose 6*g = 4*g + 22. Let k = -3 - -7. What is the remainder when g is divided by k? 3 Calculate the remainder when 22 is divided by (-19 + 1)*(-6)/18. 4 Suppose 0 = m - 6 - 7. Calculate the remainder when m is divided by 4. 1 Suppose -4*z + h = -17, 2*h + 10 = 2*z - 0*z. What is the remainder when (-2 - -4)*2/z is divided by 1? 0 Let v(z) = z**2 - 7*z - 5. Suppose 3*r + 0 = 33. Calculate the remainder when v(r) is divided by 14. 11 Suppose -p - 2*m = 2*p - 29, 0 = -p + 2*m - 1. Suppose 5*f = p*f - 150. What is the remainder when f is divided by 19? 18 Let k(i) = -5*i**2 + 26*i - 17. Let g(b) = -3*b**2 + 17*b - 11. Let d(h) = -8*g(h) + 5*k(h). Calculate the remainder when 11 - (0 + 6/(-2)) is divided by d(-5). 6 Suppose 5*x - 5*q = -0*q + 40, -3*x + 5*q + 20 = 0. Calculate the remainder when 3 is divided by ((-12)/x)/((-4)/10). 0 Suppose 6*p - 608 = 268. What is the remainder when p is divided by 15? 11 Suppose -2 = -2*g - 3*i - i, -5*g + 16 = -i. Suppose g*k = -7*j + 3*j + 135, 0 = -2*j. Suppose -2*a + k = 3*a. Calculate the remainder when 15 is divided by a. 6 Suppose 2 = m - 7. Suppose -4*c + 2*c = -68. Calculate the remainder when c is divided by m. 7 Let y = -6 + 4. Let g(c) = 16 - 3*c - c - 19 - 7*c**3. Calculate the remainder when g(y) is divided by 21. 19 Let w = -34 + 57. Suppose 4*v - 21 = w. Suppose -64 = -3*o + x, 0*o - 52 = -3*o - 2*x. Calculate the remainder when o is divided by v. 9 Let g(a) = -9*a - 3. What is the remainder when 196 is divided by g(-4)? 31 Let y(i) = 37*i - 5. What is the remainder when y(2) is divided by 18? 15 Let w = -76 + 111. Calculate the remainder when w is divided by 18. 17 Let q be (-5 - 1)/(1*-1). Let d be (q/4)/((-15)/(-20)). Suppose -d = -2*a + 8. What is the remainder when 9 is divided by a? 4 Let t = -50 + 79. Calculate the remainder when t is divided by 8. 5 Let v(f) = -16*f**3 + 2*f**2 + 2*f + 1. Let m = 27 + -17. What is the remainder when v(-1) is divided by m? 7 Suppose t + 4*w = 9, 3*w + 0*w + 55 = 4*t. Suppose 20 = s - 2*j, -2*s + 4*j + 52 = s. Let d = -5 + s. Calculate the remainder when t is divided by d. 6 Let x(y) = 4*y**2 + 2*y - 4. What is the remainder when x(-5) is divided by 11? 9 Let a(s) = s**2 + 9*s - 11. What is the remainder when 122 is divided by a(-12)? 22 Suppose -3*l = 3*g - 8*g + 39, 10 = 5*l. What is the remainder when g is divided by 2/(-6) - (-16)/3? 4 Suppose 3*c - 42 = x, 3*c + 9 = 4*c - 2*x. Let w = c + -9. Suppose g - 5*g = -16. Calculate the remainder when w is divided by g. 2 Suppose -5*p - 2 = 3, -3*p + 75 = 2*g. Calculate the remainder when g is divided by 7. 4 Let n = 3 - -6. Calculate the remainder when 33 is divided by n. 6 Let y(c) = c + 22. Calculate the remainder when 30 is divided by y(-6). 14 Let t(o) = 12*o**2 - o + 1. What is the remainder when 59 is divided by t(1)? 11 What is the remainder when 32 is divided by (-3 - (-28)/20)/(2/(-25))? 12 Let s(w) be the second derivative of 0 + 1/6*w**4 + 2*w**2 - 1/3*w**3 + 3*w. What is the remainder when 30 is divided by s(3)? 14 Suppose 65 = 3*k + 2*c, 2*k + 2*c = 3*k - 27. What is the remainder when 67 is divided by k? 21 Calculate the remainder when 19 is divided by (11 - 1) + (-4)/4. 1 Let j(u) = -2*u + 24. Let q be j(12). Suppose q = -2*b + 22 - 2. What is the remainder when b is divided by 3? 1 What is the remainder when (8/12)/((-4)/6) - -119 is divided by 20? 18 Let u = -84 - -48. Let b be ((-136)/6)/(8/u). Suppose 4*h - b = -14. Calculate the remainder when 43 is divided by h. 21 Let o(u) = 2*u - 2. Let c be o(2). Suppose 2*y = -c*g - y + 6, 0 = g - 5*y - 3. Let z = g + -1. Calculate the remainder when z is divided by 2. 0 Suppose 5*j + 2*q = 109, -3*j = -4*j - 4*q + 11. Let y(r) = -r**2 - 6*r + 6. What is the remainder when j is divided by y(-6)? 5 Suppose -3*b - 8 = 2*b + x, 3*b + 14 = 4*x. Let u(l) = -2*l**3 - 2*l**2 - l - 1. What is the remainder when -20*(-4)/10*2 is divided by u(b)? 7 Let f = -17 - -48. Calculate the remainder when f is divided by (-553)/(-49) + 4/(-14). 9 Calculate the remainder when 35 is divided by (-1 + 0)/(3/(-42)). 7 Suppose 2*c = u + 8, 0*c - 2*c = u - 8. Suppose 2*t = -u*t + 4. What is the remainder when t is divided by 2? 0 Suppose 9 + 1 = p. Suppose -5*y + 26 + 64 = 0. Calculate the remainder when p is divided by y/(-4)*4/(-3). 4 Let g(i) = -i**3 - 2*i**2 + 4*i + 3. Let z be g(-2). Let b = -108 + 135. What is the remainder when b is divided by 4/20 + (-34)/z? 6 Suppose 5*a = -2*y + 5 - 55, y + 20 = -5*a. Calculate the remainder when 274/6 - (-20)/y is divided by 23. 22 Let r = 99 - 75. Calculate the remainder when r is divided by 13. 11 Let w = -26 - -38. Let y = w - 4. What is the remainder when 22 is divided by y? 6 Let c = -2 + 5. Suppose c*v = -13 + 34. What is the remainder when 20 is divided by v? 6 Suppose 3*r = r + 10, 4*q = -4*r + 40. Let u(m) = m**2 + 6*m + 7. Let k be u(-5). Suppose 2*b - 30 = -k. Calculate the remainder when b is divided by q. 4 Suppose -4*a - 17 - 31 = 0. Calculate the remainder when 58 is divided by (-45)/a*16/3. 18 Suppose -u + 3*u - 22 = -a, 6 = 3*u. Calculate the remainder when 34 is divided by a. 16 Suppose 0 = i + 3*i - 44. Let v(r) = r**3 - 4*r**2 - 2*r + 6. Calculate the remainder when v(5) is divided by i. 10 Let q = -4 + 27. What is the remainder when q is divided by 13? 10 Let n(u) = u + 11. Let f be n(-9). Suppose -3*w - f*w = -10. What is the remainder when (-19)/(-7) + 4/14 is divided by w? 1 Suppose g = -g + 24. Let i = 8 + -6. Suppose i*j - 22 = -3*a + a, -3*j = -a - 5. What is the remainder when g is divided by a? 5 Suppose 10*q - 11*q + 20 = 0. Calculate the remainder when 76 is divided by q. 16 Let k(i) = i**3 - 18*i**2 - 19*i + 21. What is the remainder when 41 is divided by k(19)? 20 Suppose 0 = a + 2*o - 18, 4*a - 3*o - 27 = 100. Calculate the remainder when 83 is divided by a. 27 Let y(l) = -26*l - 2. Let i be y(4). Let g = -58 - i. What is the remainder when g/10*10/3 is divided by 6? 4 Let j = -5 - -17. Let k = 21 - j. Suppose -t = -5*o - 1, t = o + 3*o + 6. Calculate the remainder when t is divided by k. 8 Let p(y) = -10*y**3 + y + 1. Let n(g) = -g**2 + 5. Let b be n(0). Suppose -b*c + 0*c - 5 = 0. Calculate the remainder when p(c) is divided by 6. 4 Suppose -2*q + 62 = -3*c - c, 3*c + 49 = q. Suppose 4*m = 5*v - 22, v = m - 0 + 5. Calculate the remainder when (-58)/c - (-4)/(-18) is divided by v. 1 Suppose 0 = -4*c + 2*d - 11 - 39, 0 = c + 4*d - 10. Let v(p) = -4*p - 2. Let m be v(-5). Let w = m + c. Calculate the remainder when 23 is divided by w. 7 Let w(y) = 22*y - 2 - 20*y - 7. Calculate the remainder when w(6) is divided by 2. 1 Let k be (-1)/6 + (-50)/(-12). Suppose 7*j - k*o - 40 = 2*j, -5*j + 75 = 3*o. What is the remainder when 46 is divided by j? 10 Suppose -q + 13 = -2. What is the remainder when 41 is divided by q? 11 Let t(l) = -8*l**2 + 1 + 0 + 44*l**2. What is the remainder when t(-1) is divided by 19? 18 Let i(m) = -42*m. What is the remainder when i(-1) is divided by 9? 6 Let g(t) = -19*t - 1. Let h be g(-2). Suppose 3*z = 4*a + h, -a + 11 = z - 2*a. What is the remainder when 13 is divided by z? 6 Let j(c) = -19*c + 16. Calculate the remainder when j(-2) is divided by 20. 14 Let t be (0/(-3) - 1) + 3. Calculate the remainder when 37 is divided by 2/(3/39*t). 11 Let p(k) = -3*k + 2. Calculate the remainder when ((-6)/(-7))/(2/196) is divided by p(-5). 16 Let c(a) = a - 1. Let m(w) = -w. Let p(u) = 6*c(u) + 10*m(u). What is the remainder when p(-6) is divided by 5? 3 Suppose d - 72 = -56. What is the remainder when 74 is divided by d? 10 Let p = 24 + -19. Suppose p*x - 37 = 28. Calculate the remainder when 37 is divided by x. 11 Suppose 4*m = -i - 2*i + 5, 2*i - 7 = m. What is the remainder when 7 is divided by i? 1 Suppose -6*a + 2*a = 40. Let c(i) = -i**2 - i + 5. Let z be c(4). Let o = a - z. What is the remainder when 18 is divided by o? 3 Let y = 0 + 4. Calculate the remainder when y is divided by 4. 0 Suppose -5*w + 64 = 24. Calculate the remainder when 15/(-35) + (-470)/(-35) is divided by w. 5 Let t = -13 + 21. What is the rem
{ "pile_set_name": "DM Mathematics" }
o + 45 = 5*j, -95 + 19 = -4*o + 4*j. Let u be 4/5 + 959/o. Is u < 49? True Let w(k) = -k**3 + 12*k**2 - 10*k - 8. Let o = 42 - 31. Let u be w(o). Let g be u - 4/12*9. Is g not equal to -2/9? True Suppose -2*y + 3*q = -4, -3*y + 3 = -4*y + 4*q. Suppose -5*n + 2*k + 527 = -2*k, y*n - 5*k = 525. Is 1/4 >= n? False Let x = -605 - -588. Let w(m) = m**3 - 7*m**2 + 6*m. Let h be w(6). Suppose 5*v + 35 + 35 = h. Which is smaller: v or x? x Suppose -5*k - 366 = 54. Let h be (-18654)/k - 2/(0 - -4). Let u = h + -222. Is 1 equal to u? False Let r be (186/16)/(140/65). Let h = -38/7 + r. Suppose 5*w + 15 = 4*f, -7*f = -12*f - 3*w - 9. Do f and h have the same value? False Let h(p) = p + 2. Let l be h(6). Let i(d) = d**3 - 10*d**2 + 13*d - 26. Let y be i(l). Let w = 83 + y. Which is smaller: w or 32? 32 Let h = 14710 - 14708. Is h at least as big as 2662? False Let n = -6 - -5. Let q(d) = -10*d**2 + d - 3. Let h be q(-3). Let g be (4/(-198))/((-16)/h). Which is greater: n or g? g Let x = 246 - 248.19. Let h = x + 2.3. Let n = 34.89 + h. Is 1/4 at least as big as n? False Let j(l) = 65*l - 5. Let o be j(3). Let t be (-3)/9 - (o/(-45) - -4). Let b(n) = n**3 - 4*n**2 + n - 3. Let y be b(4). Is y > t? True Let l = -97 + 174. Let g = l - 73. Suppose 2*p = -2*q + 34, 3*q + 76 - 1 = g*p. Is p < 21? True Let c(b) = b**2 + 6*b + 5. Let t be c(-4). Let q be (-18450)/(-175) - t/(-7). Is q <= 106? True Let u = 91 - 85. Let a be -2 - 13/(-11) - u/33. Which is bigger: a or 0.28? 0.28 Let y = -2137.72 + 2110. Which is smaller: -2/3 or y? y Let o = -17 + 7. Let j = -10 - o. Let u(k) = k**2 - k - 2. Let m be u(j). Which is bigger: m or 0? 0 Suppose -4*t + 4*i = -180 - 16, 0 = -5*t + 3*i + 243. Let g(j) = -j**3 + 47*j**2 + 51*j - 117. Let w be g(t). Which is bigger: 32 or w? 32 Let p = -65 + 21. Let f = 47 + p. Suppose -79 = 5*o - 3*n, 0 = o + 4*n + f + 22. Which is smaller: o or -19? -19 Let v(t) = 11*t**3 + 1 + 1 + t**2 + 36*t**3 - 2*t. Let g be v(1). Let l = 140/3 - g. Which is greater: 1 or l? 1 Let d(c) = 2*c - 9 - 5*c + 11*c - 3*c**2 + 2*c**2. Let y be d(3). Is y > 54/11? True Let x(a) = 14*a + 602. Let j be x(-43). Which is bigger: j or 2/29591? 2/29591 Suppose 0 = 65*q - 68*q - 3. Let p = 3623/36 + -302/3. Is p at most q? False Let n be (-1)/(-1) + -1 - -327. Suppose 73*u + 10442 = 34240. Which is greater: u or n? n Let s = 1086.8 - 1157. Let g = s + 70.4. Let i = 661 + -7289/11. Which is bigger: g or i? g Let y be (53/(((-360)/81)/10))/(1/4). Which is greater: y or -476? -476 Let k = 203.7 + -207. Let j = 3.6 + k. Which is smaller: j or -9? -9 Suppose -604 + 604 = -7*s. Suppose s = -3*j + j - 4*j. Is j > -3/82? True Let n = -9.4 - 0.6. Let z = -2.93 - 0.03. Let d = -2.96 - z. Do n and d have the same value? False Let j = 15.32 + -0.32. Let b = 0.163 + -15.263. Let k = b + j. Is -1 >= k? False Let m be (-1)/(-2)*(-20)/(-30). Let l = 2 + 1. Suppose -6*u + l*u - 3 = 0. Is u at most m? True Suppose 4*n = -9 - 3. Let l be (-15)/(-80)*(-4)/n*0. Which is greater: l or -1/238? l Let m(u) be the first derivative of -u**4/4 - 13*u**3/3 + 6*u - 1. Let i be m(-13). Let w(s) = -8*s + 48. Let k be w(i). Is k < 2/5? True Let m be -1*(-4 + 2)/2. Let d = -6.941 - -6.91. Let n = 42.031 + d. Which is greater: m or n? n Let a be 115549/820505 + (-2)/14. Is a less than or equal to 1? True Let n be (1 - 3) + (-2860)/((-25)/5). Suppose 3*v - 432 = 6*g - 3*g, -2*g + n = 4*v. Which is greater: v or 285/2? v Let h(y) = 115*y - 15. Let z be h(-2). Let a = 7 + 33. Let x be a/z + 4/14. Which is greater: -1 or x? x Let j = 0.131 - 0.066. Let p = 0.155 + j. Let o = p - -0.68. Which is bigger: o or -1/3? o Let s = -242 - -245. Let o = 12 - 33. Let m = -26 - o. Is m <= s? True Suppose 210*u = 286*u + 138396. Is u < -1821? False Let d(h) = h**2 + 47*h - 149. Let o be d(-50). Which is bigger: 2/5299 or o? o Suppose 0*h - 5*h = 4*f - 343, -274 = -4*h - 3*f. Let c = 337/5 - h. Which is smaller: -4/7 or c? -4/7 Let q = 132 + -126. Let l be (q + 0 + -5)*8. Which is bigger: 14 or l? 14 Suppose x - 18 + 20 = 0, 5*j = -x - 212. Which is smaller: 17 or j? j Let u = -1/136 + 311/5304. Suppose -4*j + t + 3 = -3, 0 = -5*t + 10. Let h be (1 - 3/2)*j. Which is bigger: h or u? u Let d = -9.478 - -9.318. Which is bigger: -2/21 or d? -2/21 Let x = -0.10033 + 0.10033. Is -256 less than or equal to x? True Let k(v) = 104*v**3 + v**2. Let g be k(1). Let h be (111 - (-28)/(-4)) + (-4)/(4 + -6). Which is greater: h or g? h Let z = -0.809 - -0.8441. Let g = z - 4.0351. Which is bigger: g or 26? 26 Let x(s) = 39*s**2 + 425*s - 45. Let g be x(-11). Let t = -1/253 - -277/6072. Which is smaller: t or g? g Let q be (-31888)/8*(-5 - -3)/(-4). Which is smaller: -1994 or q? -1994 Let d = 24975 + -25836. Are -0.3 and d nonequal? True Let p = -40.6 + 38.44. Let a = 36.16 + p. Which is bigger: a or -1? a Let t(y) = 28 + 16 - 2*y**3 + 7*y**2 - 76 + 16 + 31*y. Let x be t(8). Which is bigger: x or 1? 1 Let p = -495.45 - -9.45. Let l = p - -405. Which is greater: l or -1/4? -1/4 Suppose -j - 2*a = -2, 7*a + 28 = 2*j + 3*a. Let l = 23 + -10. Let f = j - l. Is f at least as big as 1.1? False Let a = 69 - 68.934. Let y = -8.634 - a. Let b = 9.7 + y. Is b greater than or equal to 35/2? False Let y = -2833496/41 - -69113. Which is bigger: y or 4? 4 Let r = -1/179 + -347/1969. Let w = 5.34 - -0.7. Let t = -6.14 + w. Is r at least t? False Suppose -4*n = -w + 27032, 28*w - 33768 = 5*n + 24*w. Which is greater: -6759 or n? -6759 Let m be 0 + (-10)/(-24) + (-3)/(-9). Let x = -572.7 + 548. Let u = x + 24. Which is smaller: m or u? u Suppose w = -2 + 17. Let x(v) = -14*v + 19. Let f be x(3). Let c = w - f. Is 38 less than or equal to c? True Suppose t + 2*t = 102. Suppose -j + 0*j = -t. Suppose -15*i = -13*i - j. Is 4 greater than i? False Let c = -45 + 54. Let l = 5 + 0. Suppose -20 = -2*a - f - 0*f, -a = l*f - 19. Is a > c? False Let g(s) = -19*s - 152. Suppose 25*m + 21*m - 276 = 0. Let x be g(m). Is x not equal to -265? True Let w = 12/1693 + -1234257/8465. Is -145 less than or equal to w? False Let q(j) = -j**3 - 6*j**2 - 8*j - 4. Let g be ((-10)/3)/(4/6). Let d be q(g). Suppose 7 - d = 4*t. Is t greater than 0? False Let z = 49 - 46. Suppose 21 = 5*p + h, z*p = -0*h - 3*h + 15. Let s be p/14*(2 + 5). Which is smaller: s or 12/17? 12/17 Let o = 3440 - 120398/35. Suppose -5*p - 3*l + 29 = 0, -2*l + 24 = 3*p + p. Suppose 3*m - p*m = -4. Which is greater: o or m? m Let x = -1002 - -1050.1. Let k = -26.8 - x. Let p = k - -75. Which is smaller: -4/7 or p? -4/7 Suppose 5*n + 4*n - 3*n = -2658. Is -2651/6 at least n? True Let a = 1706605/172 + -9922. Which is greater: a or 1? 1 Let q(u) = -u**2 + 23*u + 139. Let m be q(28). Let k(j) = -149*j**2 - 16*j - 17. Let t be k(m). Is -149 bigger than t? True Suppose 14*h + 3 = 13*h. Let t be (-10)/35 + h/((-42)/(-94)). Let x be (((-42)/4)/t)/((-30)/(-8)). Is x less than or equal to 3.3? True Let f(z) = -4*z**3 + 2*z**2 + 6*z + 15. Let o be f(0). Which is greater: 52 or o? 52 Let o = -10/3869 - -46679/16563189. Which is greater: 1 or o? 1 Let s be (-115 + -5)*42/(-10). Let a be (-112)/s + (-3)/(11286/(-872)). Let c = -2 + 2. Which is bigger: a or c? a Let y = 3009.8 + -3010. Which is smaller: -116 or y? -116 Let h be (2 + (-11)/2 - 1)*(-5)/1380. Is h greater than or equal to -26? True Suppose 22*q + 20378 = 58*q - 574. Which is bigger: 571 or q? q Let b be (-8)/(-6)*(66 + -63) - (-454295)/(-113570). Does -1 = b? False Suppose -3*j - 4 = 140. Let l = j - -50. Suppose 2*i + 2*d + 3*d - 2 = 0, l*i = 5*d - 38. Is i at most -10? False Let c = -2274 - -530. Which is smaller: c or -0.2? c Let u = 190814/15 - 38143/3. Suppose -s = -3*g + 19, -3*g + 2 + 14 = 2*s. Which is smaller: g or u? g Let d = -0.6633 - -0.4633. Is d greater than or equal to 1131? False Let a(r) be the third derivative of r**6/120 - r**5/3 + r**4/24 - 8*r**3/3 - 10*r**2. Let o be a(20). Suppose 0 = 6*v - o*v - 2. Which is bigger: 1/91 or v? v Suppose 2*d - 3*d = 0. Let v be (-900)/(-4158)*51 + -11. Which is greater: v or d? v Suppose 5*t + 3 = 6*t. Suppose -4*f - 4*g - 32 = 0, -t*f = -4*f - 3*g. Is -94/7 at least as big as f? False Let w = 1394 - 1412. Let x = -0.172 + -0.828. Is x at least w? True Let v = -3619 - -3605. Which is greater: -
{ "pile_set_name": "DM Mathematics" }
Let k = 7 - -2. Let v be (-2)/(-4) + 18/4. Solve -t*a = -v*a - k for a. -3 Let j be (3/15)/(-1) - (-2)/10. Solve d - 2*d - 2 = j for d. -2 Suppose 3*k - t = -115, -5*t - 17 = -0*k + k. Let g = 52 + k. Solve 4*l + g = -l for l. -3 Let b = -23 + 38. Let g be b/10 - (-74)/4. Let j = -14 + g. Solve 2*z + j = -0 for z. -3 Suppose 5*o = -y + 3*y + 13, 0 = 4*o + 3*y + 8. Let p be o/(-2)*(3 + -3). Let w be 1/((-3)/(-18)) + -1. Solve p = -5*u - 25 + w for u. -4 Let a be 2 - 4 - -2*2. Let b(x) = -2*x**2 - 2*x + 5. Let k(t) = -6*t**2 - 5*t + 14. Let n(z) = 11*b(z) - 4*k(z). Let m be n(3). Solve a*g + m - 1 = 0 for g. -5 Suppose 3*g = d - g - 1, 4*d - 2*g - 4 = 0. Solve d - 5 = 4*m for m. -1 Let h be -1 + 18/6 - 0/2. Solve 0*g - 10 = -h*g for g. 5 Let c(k) = -k**3 + 5*k**2 - 4*k + 1. Let r be c(3). Solve r*h - 4 = 3*h for h. 1 Suppose 5*u + 4*n - 7 = 0, 13 = 5*u + 2*n - n. Solve -u*d = d for d. 0 Let o(d) = -d**3 - 5*d**2 + 7*d + 6. Let y be o(-6). Let x(q) = -q**3 + 4*q**2 + 6*q - 2. Let p be x(5). Suppose -p*k - k + 16 = y. Solve -5*t + k*t = 0 for t. 0 Suppose -4*r - r + 25 = 0. Suppose p - 8 - 2 = 0. Solve -3*v = -r*v - p for v. -5 Let h be 48/27 + (-2)/(-9). Solve 0 = -2*p + h - 6 for p. -2 Let b be (2/(-3))/((-4)/30). Suppose -b*j + 1 = -q - 9, -36 = -4*q + j. Solve 0 = 2*d + 3*d - q for d. 2 Let w(u) = -3*u**3 - 6*u**2 - 6*u + 5. Let i(p) = 5*p**3 + 11*p**2 + 11*p - 9. Let s(q) = -4*i(q) - 7*w(q). Let l be s(3). Solve 0 = -l*y + 6 - 2 for y. 1 Suppose c + 9 = 4*f + f, -3*f - 33 = c. Let q = 43 + c. Solve -4*h = q + 1 for h. -5 Let f(j) = -7*j**2 - 9*j + 19. Let b(v) = 6*v**2 + 9*v - 18. Let k(a) = -6*b(a) - 5*f(a). Let y be k(-10). Solve y*q - q + 6 = 0 for q. -3 Let f(n) = -2 + n**3 + 5*n**2 + 0*n**3 - 2*n**2. Let v be f(-2). Suppose -2 - 2 = -v*p. Solve -p + 11 = -3*y for y. -3 Let k be (-4)/(-6) + (-22)/(-3). Let h be (2/6)/((-7)/(-147)). Let l(c) = 2*c - 10. Let n be l(h). Solve -n*p - k = -0*p for p. -2 Let z be 4 + -1 - 0/(-2). Suppose z*w = -0*w. Suppose w + 2 = f. Solve -15 = f*b + 3*b for b. -3 Let a(g) = 2*g**2 + 18*g - 10. Let j be a(-10). Solve -6*i - j + 28 = 0 for i. 3 Suppose -y = 4*d - 9, -7*y = -2*y - 2*d - 1. Solve a + 6 = y for a. -5 Let h(r) = r**2 + 2*r + 1. Let t be h(-3). Suppose 3*f = f - 8, 3*q - t*f = 28. Let z = -2 + q. Solve 0 = 5*w - 6*w + z for w. 2 Let z(g) = -g**3 + 4*g**2 + 5*g. Let k be z(5). Suppose 5*q = 3*c + 134, 0 = 6*c - 4*c - 5*q + 86. Let w be c/(-27) + (-2)/(-9). Solve k*o = -w*o for o. 0 Let q(x) = -x**2 - 6*x - 1. Let r(a) = -a**2 - 6*a - 3. Let y be r(-6). Let d = y + -2. Let l be q(d). Solve -1 = -g - l for g. -3 Let v = -3 - -5. Solve -6*q + 12 = -v*q for q. 3 Let d = -22 - -52. Suppose n + 3*n - d = 2*u, 4*u = -4*n + 12. Let q = n - 5. Solve -q + 3 = -g for g. -2 Let l be (-32)/(-8)*(1 - 0). Suppose 10 = -4*d + 6*d + 5*z, -5*z = -2*d - 10. Solve c + l*c + 15 = d for c. -3 Let l = 18 + 23. Suppose 3*y - 25 = 122. Suppose 0 = 4*j + 3*m - l - 0, y = 5*j + 3*m. Solve 3*h = j*h + 20 for h. -4 Let g be (-4)/3*(-5 - -2). Let w(u) = 2*u + 1. Let p be w(-1). Let z be (-2 + 3/(-3))/p. Solve z*r = g*r for r. 0 Suppose 3*r = 2*g - 34, -4*g + r = -2*g - 26. Solve 6 - g = -z for z. 5 Let w(l) = 4*l**2 - l. Let b be w(1). Let t = 2 - 0. Suppose 2*j = -5*a + 29, 4*j - 19 = t*j + 5*a. Solve -b*x + j = -0*x for x. 4 Let o = 32 - 22. Solve 0 = -l + 3*l - o for l. 5 Suppose -10*n = -5*n. Solve n = j - 0*j - 1 for j. 1 Suppose 4*s = 7 + 213. Suppose s = 4*g - 5. Let h be 1*(-2)/(-4)*8. Solve 1 + g = -h*x for x. -4 Let b(g) be the second derivative of g**3/3 - g. Let c be b(2). Let l be 4/2 + 0 - -3. Solve q + c*q - l = 0 for q. 1 Suppose m + 12 = 3*p, m + 4*m = 5*p - 10. Suppose -4*c - 58 = -18. Let g = -5 - c. Solve 0 = -g*y - p for y. -1 Let v = -2 - 3. Let k = 0 - v. Suppose 0*l - 4*l + 14 = 2*c, -k*l + 45 = -3*c. Solve 5*u = 3*u - l for u. -3 Suppose 4*j + 14 = o, 2*o - 2*j = -3 + 13. Solve o*k - 12 = -k for k. 4 Let q be 3 - (-1)/(3 + -2). Let j(r) = -2*r + 0*r + 2 + r + 2*r. Let l be j(2). Solve l + q = -2*f for f. -4 Suppose -2*f + 1 = -9. Solve -3*o - f = -11 for o. 2 Let b = -11 - -8. Let o be (-1)/5 + b/(-15). Solve 5*z - 4 - 1 = o for z. 1 Let y = 3 + 1. Let f(a) = a - 4. Let s be f(y). Suppose 0 = 5*l - s*l. Solve -5*w + 3*w + 8 = l for w. 4 Suppose 0 = 2*q + 1 - 7. Solve -x - 8 = q*x for x. -2 Let l be (-30)/(-20)*4/3. Solve l*r = 5*r for r. 0 Let n(z) = -8*z + 36. Let f be n(4). Solve g + f = 5*g for g. 1 Let r be 3*74/27 + (-14)/63. Solve 4*q = -8 - r for q. -4 Let y(n) = -n + 14. Let t be y(6). Suppose -4*x + 10 = -0*x - p, -4*x + 2*p = -t. Suppose x*l = l + 8. Solve 0 = -5*m + 9 - l for m. 1 Let u = -5 + 9. Let d(w) = 14*w + 1. Let q be d(1). Let a be (0 - 2) + q - -2. Solve -u*x + x = -a for x. 5 Let s(z) = -11*z - 2. Let d be s(-2). Suppose -2*y + 4*y = 4. Suppose 0 = -2*b + d - y. Solve -h - 2*h = b for h. -3 Let f(y) = y - 4. Let d = 18 - 11. Let x be f(d). Suppose -x*n = -0*n. Solve -q + 2*q = n for q. 0 Suppose -4*g + 20 = 2*p, -g - 5*p + 26 = 3*g. Solve 0*j = -g*j - 12 for j. -3 Suppose 4*l = -5*b + 315, -4*l + 0*l + b + 321 = 0. Suppose 4*u = 3*z - 60, z + u = -3*z + l. Suppose 0 = t + 4*t - z. Solve t*x - 4 = 12 for x. 4 Let u be -31 + 3 + 1/1. Let x be (-10)/4 + u/(-18). Let h(c) = -c - 1. Let b be h(x). Solve -3*n - 3 = -b for n. -1 Let u(y) = -3*y**3 - 3*y**2 - y - 2. Let h be u(-2). Let i(s) = -s - 2. Let q be i(-7). Suppose q*c - 4 = 3*c. Solve 2*v + h = -c*v for v. -3 Let q be 13/3 + (-12)/9. Solve 5*b = q*b for b. 0 Let l(d) = d**2 + 2*d + 2. Let t(n) = -n**3 - 11*n**2 + n + 9. Let z be t(-11). Let o be l(z). Let w be 23/2 + 1/o. Solve -q - w = -5*q for q. 3 Let q(s) be the second derivative of -s**5/20 + s**4/6 + s**3/2 - s. Let v be q(-2). Solve -a + v = a for a. 5 Suppose 4*f + 16 = 2*i, 5*f - 3*i + 9 = 2*f. Let h be f + 5 - 0/1. Solve 0 = -h*t + 2*t for t. 0 Suppose -r = r - a + 1, 4*r + 4*a - 4 = 0. Solve 5*t - 34 + 9 = r for t. 5 Let f(k) be the third derivative of k**5/60 - k**4/8 + k**3/6 + k**2. Let l be f(4). Solve b = l*b for b. 0 Let t(s) = -5*s - s + 2*s - 2. Let c be t(-5). Suppose d = c - 2. Solve 3*n + d = -n for n. -4 Let m(c) = -c**2 - 8*c + 9. Let p be m(-9). Suppose -4*v + v + 9 = p. Let w be 0 + 1 + -2 - -5. Solve -w = -d - v for d. 1 Suppose 4*u - 18 = -6. Solve -2*d = u - 7 for d. 2 Let m = 46 - 42. Solve -m*g + 11 = 23 for g. -3 Suppose 9*f - 13*f = -36. Solve 4*l - 10 = f*l for l. -2 Let a be (-2)/10 + 8/40. Solve a = u + 2*u for u. 0 Suppose 2*m - 3*x = 0, 0 = 5*m + 2*x - 17 - 21. Let a be (-3 + 0)*(-4)/(-6). Let p = a + m. Solve -n = p*n + 25 for n. -5 Let j(r) = -r**2 + 3*r. Let n be j(2). Solve 3 = n*w - 5*w for w. -1 Let y(o) = -o**3 - 7*o**2 - 6*o + 5. Let k be y(-6). Suppose 4*g - 15 - k = 0. Suppose 13 = g*s - 4*s. Solve -4*t - 33 = -s for t. -5 Let t be 6*(-2 + 0)/(-4). Let c = 30 - 26. Suppose -5*o - 2 = -2*x + 11, -4*o = -c*x + 20. Solve -t = -u - x for u. -1 Suppose 0*w = 4*w + 36. Let j be 6/w - 14/(-3). Solve -j*f + 8*f - 8 = 0 for f. 2 Let z = -14 + 19. Suppose -2*v = -v + z*r, 2*v - 5*r = 0. Solve -m = -v*m for m. 0 Suppose 0*w - 2*w = -216. Suppose 2*g - 24 = -4*n, 0*g - 2*n - w = -5*g. Solve g = -4*f - f for f. -4 Suppose 4*c - 3*z = -8*z + 2, 0 = 2*z - 4. Let p = c + 6. Let a be p + -1 - 0/5. Solve -a*w + 1 = -5 for w. 2 Let d(a) = a**2 + 14*a - 12. Let i be d(-15). Solve 5*b - i = 4*b for b. 3 Let s be (10/(-4))/((-2)/(-4)). Let y = -3 - s. Solve -g - y*g - 12 = 0 for g. -4 Suppose 4*o - 43 = 5. Let x be (-5)/(-5) - (1 + 0). Let u be 2/(2 + x + -1). Solve -d = u*d - o for d. 4 Let b(d) be the second derivative of -d**3/6 - 2*d**2 + 4*d. Let x be b(-10). Solve -x = 2*r - 4*r for r. 3 Suppose -5*v - 2*h = -v - 14, 29 = 4*v - h. Solve 3*d = d + v for d. 3 Let f(d) = d**3 - 5*d**2 + 6*d - 5. Let n be f(4). Suppose -n*x - 12 = -x. Let y = 10 + x. Solve 6 = y*g + 18 for g. -3 Suppose 5*r - 7 = -2*d, -6*r = 4*d - 2*r - 8. Solve d = 5*y + 11 for y. -2 Let o(i) = i**3 - 3*i**2 - 4*i + 2. Let p be o(4). Let c(b) = 3*b + 1. Let l be c(-1). Let r = -2 - l. Solve 2*g = -r*g + p for g. 1 Suppose n + 0*n = -2. Let l be (-2 + 1)*10/n. Suppose a = l*w - 10, -2*w + 16 = 5*a - 15. Solve -a*j = -6*j for j. 0 Let n be 0 + (-2 - -2) + 1. Let p be (n + 6/(-2))*-
{ "pile_set_name": "DM Mathematics" }
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True Is 29102275561 a composite number? False Is 126043711 a composite number? False Is 6160743595 prime? False Is 1195187783 composite? False Is 178057742431 a prime number? False Is 27324503449 prime? False Is 105091027693 composite? False Is 3440645287 a composite number? False Is 20493680381 a composite number? True Is 119214521651 composite? True Is 5699252129 composite? False Is 8245437729 composite? True Is 1732721554 prime? False Is 77708704453 composite? False Is 427748773 a prime number? True Is 6266927603 prime? False Is 593402113 prime? False Is 525039947 prime? False Is 75832550491 composite? True Is 163558291 a composite number? True Is 254405250221 a prime number? True Is 943086481 prime? True Is 1998566215 a composite number? True Is 19375495439 prime? True Is 22325425853 a composite number? False Is 27971544739 a prime number? False Is 7038724639 a prime number? True Is 3269709823 composite? False Is 1044085661 a composite number? True Is 3843821 a prime number? False Is 8632117267 a composite number? False Is 399391093 a composite number? True Is 5189475149 a prime number? False Is 1469454979 prime? False Is 1036672321 prime? False Is 10146491413 a composite number? False Is 1497880781 a composite number? False Is 18353371 prime? False Is 941559007 a composite number? False Is 2047035083 composite? True Is 6107743282 a composite number? True Is 1152563687 a prime number? False Is 1359629053 composite? False Is 2427330263 a composite number? True Is 1321043941 prime? False Is 67500229051 prime? True Is 3063735781 a prime number? True Is 9587543981 composite? True Is 30340131883 a prime number? True Is 7682858207 prime? False Is 948571009 composite? True Is 30822891661 a prime number? True Is 66581536823 prime? True Is 40055316839 a composite number? True Is 943731335 composite? True Is 32491343447 a composite number? True Is 4822902053 a composite number? False Is 44400459977 a prime number? True Is 543284923 a composite number? True Is 1556451163 prime? False Is 30306575969 a prime number? True Is 64324241099 composite? False Is 78126243599 a composite number? False Is 1721664761 composite? False Is 98595319 prime? False Is 93297646157 a prime number? True Is 60074042771 composite? False Is 508476067 a composite number? True Is 238639213 composite? True Is 27328862711 prime? True Is 3401993843 a composite number? False Is 12429297553 prime? True Is 1708868897 a composite number? False Is 11707155631 a prime number? True Is 9318675433 prime? True Is 20592128783 a prime number? True Is 13756932467 composite? False Is 2007493903 a prime number? False Is 5062327729 prime? False Is 6794782499 composite? True Is 24245227517 a prime number? False Is 93297576014 prime? False Is 45523259861 a prime number? False Is 7080841291 prime? True Is 6593887987 a composite number? False Is 4370775809 prime? True Is 3604262227 prime? True Is 5352054871 a composite number? False Is 113570563 composite? False Is 344974571 a composite number? False Is 36966644447 prime? True Is 8481581377 a prime number? True Is 17395262663 prime? True Is 18287886043 a composite number? True Is 5605990249 composite? True Is 1109283797 a composite number? False Is 212567209 a prime number? True Is 12154147129 a prime number? True Is
{ "pile_set_name": "DM Mathematics" }
Calculate d(-48). -28 Let r(b) = 805*b + 1063. What is r(-1)? 258 Let l(v) = -2*v**2 - 527*v - 20566. Determine l(-48). 122 Let s(w) = 439*w + 3725. Calculate s(-14). -2421 Let s(i) = i**3 - 15*i**2 + 12139*i - 169747. Determine s(14). 3 Let n(r) = -3832*r + 46146. Give n(12). 162 Let f(h) = -2*h**2 + 614*h - 14705. Calculate f(26). -93 Let c(x) = 2*x**3 - 39*x**2 - 5*x + 64. Calculate c(0). 64 Let l(a) = -522*a**2 - 310046*a + 13072. Calculate l(-594). 4 Let u(v) = -114*v**2 - 1446*v - 1451. What is u(-1)? -119 Let j(c) = 12*c**3 - 18*c**2 - 40*c + 100. Calculate j(2). 44 Let y(x) = x**3 + 49*x**2 - 40*x - 1990. Calculate y(-49). -30 Let z(r) = 8*r**2 + 614*r - 1474. Give z(-79). -52 Let f(d) = 2*d**3 + 596*d**2 - 34*d - 10063. Calculate f(-298). 69 Let j(v) = v**3 + 36*v**2 - 2199*v - 78845. Give j(-36). 319 Let d(k) = -32*k**2 + 75*k - 119. What is d(0)? -119 Let s(k) = 9*k**2 - 1149*k + 17747. Determine s(18). -19 Let d(v) = 466*v**2 + 4656*v - 34. Calculate d(-10). 6 Let v(k) = -3*k**3 - 29*k**2 - 10*k - 91. Determine v(0). -91 Let w(d) = 2*d**2 + 48*d - 40159. Determine w(-153). -685 Let m(l) = -4783*l - 9502. What is m(-2)? 64 Let l(f) = 11*f**3 + 459*f**2 + 336*f + 285. What is l(-41)? -43 Let g(l) = l**2 + 100*l + 3319. Determine g(-37). 988 Let s(b) = 64*b**2 + 15381*b - 25879. What is s(-242)? 15 Let d(l) = -l**3 - 116*l**2 - 177*l + 1841. Calculate d(-114). -3973 Let c(v) = 5855*v + 35130. Determine c(-6). 0 Let s(h) = 246*h - 63192. Calculate s(257). 30 Let d(b) = 172*b**2 - 2061*b - 86. Give d(12). -50 Let t(v) = 3*v**2 - 19782*v + 2577938. Give t(133). -1 Let x(n) = 1209735*n - 10887602. Give x(9). 13 Let m(r) = -r**2 + 31*r + 169. Give m(43). -347 Let d(l) = 108*l - 6808. What is d(59)? -436 Let d(r) = 936*r - 160940. What is d(172)? 52 Let n(r) = 654*r - 41203. What is n(63)? -1 Let k(q) = 8500*q + 50988. Calculate k(-6). -12 Let w(q) = -173*q**3 + 6*q - 30. Give w(2). -1402 Let c(j) = 10*j**2 + 107*j + 209. Determine c(-8). -7 Let a(j) = j**3 + 24*j**2 + 114*j - 38. Give a(0). -38 Let i(g) = -57*g**2 + 1093*g - 3299. What is i(3)? -533 Let p(y) = -5*y + 39. Calculate p(11). -16 Let a(n) = -34550*n + 34552. Determine a(1). 2 Let v(b) = -19*b**3 + 570*b**2 - 1929*b - 1233. Give v(26). -11 Let q(w) = -832*w**2 + 163889*w + 2950. Determine q(197). -5 Let h(u) = 40947*u - 5855376. Give h(143). 45 Let b(i) = 5*i**2 - 113473*i + 1134223. Give b(10). -7 Let c(t) = 9*t**3 + 3466*t**2 + 383*t - 2126. Determine c(-385). -1356 Let z(u) = -1078*u - 60. Give z(-2). 2096 Let j(d) = d**2 - 31813*d - 95436. What is j(-3)? 12 Let t(c) = -c**3 - 970*c**2 - 31*c - 30050. What is t(-970)? 20 Let y(k) = -5690*k - 284489. Determine y(-50). 11 Let v(b) = -252011*b - 4284103. What is v(-17)? 84 Let s(y) = -6*y**2 + 599*y + 12044. What is s(117)? -7 Let d(n) = 409*n - 46834. Calculate d(114). -208 Let d(m) = m**2 - 5516*m + 1083648. Calculate d(204). 0 Let j(f) = -f**2 + 155936*f - 6703404. Give j(43). -5 Let r(j) = -283166*j + 3397981. Give r(12). -11 Let v(d) = 179*d - 3672. Give v(27). 1161 Let c(h) = h**3 - 29*h**2 + 170*h + 320. Calculate c(19). -60 Let y(a) = 2*a**3 + 42*a**2 + 66*a - 341. Give y(-19). -151 Let k(x) = x**2 + 2211*x + 315. Give k(0). 315 Let m(g) = -7*g**2 + 519*g + 16. Determine m(74). 90 Let z(h) = 12*h**2 + 2459*h - 17970. Determine z(-212). 50 Let j(t) = -12759*t - 791060. Give j(-62). -2 Let o(u) = -3*u**2 - 1553*u - 30041. Determine o(-20). -181 Let o(f) = -1908*f + 11369. What is o(6)? -79 Let z(i) = 2157*i - 404. Determine z(0). -404 Let v(n) = -n**3 + 131*n**2 + 816*n - 15. Determine v(-6). 21 Let t(d) = 104*d**2 + 231*d - 248. Give t(-3). -5 Let w(c) = 243*c + 7505. What is w(-34)? -757 Let b(s) = 132155*s - 8722245. Give b(66). -15 Let x(o) = -1704*o - 410646. What is x(-241)? 18 Let x(h) = -7*h**2 - 106*h + 2021. Give x(14). -835 Let q(s) = -79*s**2 - 1272*s - 265. Give q(-16). -137 Let u(h) = 39*h**3 - 360*h**2 + 389*h - 49. Give u(8). -9 Let r(a) = -674*a - 30934. What is r(-46)? 70 Let u(i) = 4*i**3 + 11*i**2 + 26*i + 85. Calculate u(-4). -99 Let y(j) = 644*j + 94203. What is y(-150)? -2397 Let q(m) = -6278*m + 18758. Determine q(3). -76 Let k(d) = -d**2 + 2793*d - 123439. Give k(45). 221 Let q(b) = -2171*b + 23866. Determine q(11). -15 Let o(z) = -5*z**2 - 235*z - 57. Calculate o(-46). 173 Let u(s) = -348*s**2 - 1664*s + 1673. Calculate u(1). -339 Let f(d) = 431*d - 607283. Determine f(1409). -4 Let l(z) = 408*z + 2678. Calculate l(-4). 1046 Let y(o) = 97*o**2 + 50*o - 192. Give y(4). 1560 Let h(v) = -16*v**2 - 19412*v + 38838. Calculate h(2). -50 Let w(v) = 4118*v - 2573747. Calculate w(625). 3 Let q(n) = -2361*n - 101482. Determine q(-43). 41 Let k(d) = 1076*d**2 + 1091*d + 12. What is k(-1)? -3 Let b(r) = -2*r**2 - 68*r - 30. Calculate b(-29). 260 Let t(i) = i**3 - 50*i**2 - 85*i + 1484. Calculate t(51). -250 Let d(i) = -2*i**3 - 18*i**2 - 120*i - 716. What is d(-7)? -72 Let r(o) = 7731*o + 92779. Give r(-12). 7 Let l(u) = -3*u**3 + 306*u**2 + 362. What is l(102)? 362 Let f(w) = -w**3 - 17*w**2 + 714*w + 92. Calculate f(20). -428 Let o(x) = x**2 + 50620*x - 151863. What is o(3)? 6 Let t(r) = -800*r**2 + 65594*r + 419. What is t(82)? -73 Let p(n) = -1093*n - 112582. What is p(-103)? -3 Let s(w) = -111565*w + 557794. Calculate s(5). -31 Let w(j) = -2*j**3 + 58*j**2 - 229*j - 259. Give w(24). 5 Let f(u) = -1140521*u - 6843197. What is f(-6)? -71 Let w(v) = 1402*v + 82727. Give w(-59). 9 Let c(t) = -23*t**2 + 912*t + 1146. What is c(41)? -125 Let u(t) = -t**3 + 66*t**2 - 651*t + 203. Determine u(11). -303 Let o(b) = 34*b**2 + 84*b - 447. What is o(6)? 1281 Let z(g) = 11*g**2 - 414*g - 161. What is z(40)? 879 Let y(q) = 3*q**3 - 3029*q**2 + 2719*q - 707310. What is y(1009)? -1 Let t(i) = -5*i**3 + 471*i**2 + 397*i - 1620. Give t(95). -5 Let b(h) = h**2 - 1393*h - 37049. What is b(-26)? -155 Let q(o) = 2445*o - 36652. Calculate q(15). 23 Let y(b) = -515*b - 39163. Calculate y(-76). -23 Let i(u) = -1040*u + 271084. What is i(261)? -356 Let u(f) = -12*f**3 + 194*f + 249. What is u(-3)? -9 Let w(b) = b**2 - 163*b - 1993. Give w(-12). 107 Let g(b) = 78*b**2 - 4825*b - 28963. Calculate g(-6). 2795 Let d(b) = b**3 + 14*b**2 + 161*b - 1795. What is d(8)? 901 Let h(p) = -p**3 + 670*p**2 - 8539*p - 31. Give h(13). -5 Let o(y) = -93*y**2 + 2453*y - 100. Calculate o(26). 810 Let h(j) = -18*j + 1061. Give h(60). -19 Let m(z) = -1594*z + 1852. Calculate m(1). 258 Let a(u) = -11*u**3 + 20*u**2 + 46*u + 42. Determine a(-6). 2862 Let x(j) = -778*j + 164154. Calculate x(211). -4 Let z(n) = n**3 + 30*n**2 - 217*n - 905. Calculate z(-3). -11 Let n(i) = i**2 + 2483*i - 1346967. What is n(458)? 11 Let h(a) = -2221*a - 63942. Determine h(-27). -3975 Let h(q) = -q**3 + 86*q**2 - 59*q + 5646. Calculate h(86). 572 Let y(b) = 2*b**3 - 258*b**2 + 5944*b - 396. Determine y(99). 0 Let f(o) = -79556*o - 316073. Determine f(-4). 2151 Let d(m) = 1350*m + 262. Give d(0). 262 Let m(a) = 79*a**3 + 959*a**2 + 22*a - 8. Give m(-12). 1312 Let v(l) = 589899*l - 8258584. What is v(14)? 2 Let c(o) = -o**3 - 115*o**2 - 214*o - 11286. What is c(-114)? 114 Let m(c) = 19813*c - 752909. Give m(38). -15 Let y(h) = -h**3 + 121*h**2 + 3292*h - 439. Give y(-23). 21 Let b(y) = -y**3 - 66*y**2 + 1506*y - 492. Determine b(-84). 12 Let p(x) = x**3 + 112*x**2 + 931*x + 7. What is p(-9)? -29 Let b(c) = 5*c**3 - 24*c**2 - 577*c + 2861. Calculate b(5). 1 Let m(r) = -3*r**2 + 145*r - 136. Give m(49). -234 Let r(g) = 388927*g - 5056052. Calculate r(13). -1 Let s(d) = d**3 + 195*d**2 + 6530*d - 863. Give s(-152). 49 Let t(m) = -11*m**2 + 53251*m + 319889. Calculate t(-6). -13 Let j(f) = 5154*f - 1798760. Give j(349). -14 Let o(u) = 6*u**3 - 150*u**2 + 929*u + 16. Calculate o(13). -75 Let j(y) = -7*y**2 + y - 97. What is j(7)? -433 Let t(q) = 3*q**3 - 11*q**2 - 402*q - 993. Give t(-3). 33 Let h(k) = -2*k**2 + 119*k + 722. Give h(61). 539 Let d(c) = 2*c**2 - 14874*c + 5269741. Calculate d(373). -3 Let f(m) = -22*m**2 + 1023*m - 8172. Determine f(8). -1396 Let t(d) = -77682*d + 77635. Give t(1). -47 Let t(j) = 9125*j - 264653. Give t(29). -28 Let n(o) = -2*o**3 - 80*o**2 + 107*o + 934. What is n(-41)? -91 Let x(r) = 2*r**3 - 8*r**2 - 8*r - 225. Calculate x(9). 513 Let i(p)
{ "pile_set_name": "DM Mathematics" }
t is the nearest to 0 in -1, 4, 0.2, -33? 0.2 Which is the closest to 2? (a) 4 (b) 5 (c) -5 a Which is the nearest to 2/11? (a) -7 (b) -9/7 (c) 1 c What is the nearest to -9/5 in 0.02, 0.4, 0? 0 What is the closest to -107 in 4, -1, 1/6? -1 Which is the nearest to 2.32? (a) -1/2 (b) -0.3 (c) -1/3 b Which is the nearest to -0.09? (a) -3 (b) 0.06 (c) -4 b What is the closest to 0.1 in -87, -0.5, 7, 3? -0.5 Which is the closest to 2/7? (a) 0.1 (b) 0.2 (c) 0.19 b Which is the closest to 15? (a) 1/2 (b) 4 (c) 1/5 (d) -2 b What is the closest to 21.2 in 2/9, 0.1, 1, -1/5? 1 Which is the closest to -1/453? (a) 4 (b) -4 (c) 2/19 (d) -5 c What is the nearest to 1/4 in -1, -2, 6? -1 Which is the closest to -1/3? (a) -5 (b) 1 (c) 3 (d) 2/23 d Which is the nearest to -2? (a) 3 (b) -1/4 (c) 3/7 (d) 2 b What is the closest to 1 in -31.8, -1/5, 4, -5? -1/5 What is the closest to -3/4 in 0.01, -2/3, -0.4? -2/3 What is the closest to -1 in -6, -0.1, -1, -4/7? -1 What is the nearest to 0 in -0.6, 5, 3/4? -0.6 What is the nearest to 1 in 1, -0.04, -0.3, -0.4? 1 Which is the closest to 1/6? (a) -6 (b) 0 (c) -1/4 (d) -0.1 b Which is the nearest to 0? (a) 2/9 (b) 8 (c) 2/29 c What is the nearest to 1/4 in 3/5, -1.1, -2, 4? 3/5 What is the nearest to -0.1 in -0.9, -0.5, 0.03, -3? 0.03 What is the closest to 1/4 in -2, 2/195, 2/11? 2/11 What is the nearest to 1/4 in 3, 1.7, -1, -2/19? -2/19 What is the closest to 1/5 in -1, -3, 0.1, -2/13? 0.1 Which is the closest to -14/9? (a) -3 (b) -4/7 (c) -0.2 b Which is the closest to -0.16? (a) -0.2 (b) -0.1 (c) 14 (d) 7 a Which is the closest to -2/7? (a) 95 (b) -1 (c) 0 c What is the nearest to 0.1 in 5, -9, -35, -2? -2 Which is the closest to 0.6? (a) 1 (b) 4 (c) -0.3 (d) -1/2 a What is the nearest to -4 in 2/11, 2/7, 304? 2/11 What is the nearest to 0.2 in -0.14, -1, 0.3, 4? 0.3 Which is the closest to 0? (a) -2/9 (b) -1/2 (c) -4/3 (d) 0.01 d What is the closest to 1/8 in -0.3, -6, 1/4, 5? 1/4 Which is the nearest to -2? (a) 2 (b) -0.9 (c) 0 b What is the closest to 0.1 in 0.07, 247, 3? 0.07 Which is the closest to 1/9? (a) -3/7 (b) -46/5 (c) 1 (d) 0.4 d Which is the nearest to -0.25? (a) -1 (b) 0 (c) -2 (d) 0.2 b Which is the nearest to -1/23? (a) -3 (b) -4 (c) 2/9 c Which is the nearest to 0? (a) 12 (b) 2/3 (c) -4 (d) -1/4 d Which is the nearest to 2? (a) 2/9 (b) -20 (c) -4/5 a What is the closest to -9 in 0.2, 0.09, -2/11? -2/11 What is the nearest to 2/3 in 2, -0.4, -1/267, 0.2? 0.2 What is the nearest to -6 in -4, 0.2, -0.33, -0.5? -4 What is the closest to 0.06 in -0.1, -5, 0.3, 1/6? 1/6 What is the closest to -10 in -3, 2/9, 5, -2? -3 Which is the nearest to 1? (a) -0.3 (b) -65 (c) 0.3 (d) -3 c What is the closest to -2/5 in 2, 4, -0.4, -0.1? -0.4 What is the nearest to 0.07 in 0.2, 1/2, -13? 0.2 Which is the closest to 2/3? (a) -1 (b) -3 (c) 1.9 c What is the nearest to 0 in 1/3, -32, 1/12, 3? 1/12 Which is the nearest to -1? (a) -0.11 (b) 1/6 (c) 0.8 (d) -1/4 d What is the closest to -1 in -8, -2, -21/19? -21/19 What is the closest to 23 in -0.6, -4, 2/3, 1/6? 2/3 What is the nearest to -33 in -0.5, 0.4, 3? -0.5 Which is the closest to -4? (a) 3 (b) -1/11 (c) -2/3 (d) 1 c Which is the nearest to 2/7? (a) 0.06 (b) 0 (c) -5 a What is the closest to 3 in -3, -4/11, -2? -4/11 Which is the nearest to -1? (a) -0.98 (b) 3 (c) 0.2 a What is the closest to 0.4 in -4, -112, 0, -0.2? 0 Which is the closest to 3? (a) 0.3 (b) -0.01 (c) -194 a Which is the closest to 1? (a) -5 (b) -2 (c) 0.1 (d) 3/5 d Which is the closest to 0.1? (a) -5 (b) 0.04 (c) -2/17 b Which is the closest to -2/5? (a) -3 (b) 0.03 (c) -1 (d) 0.089 b What is the closest to -2 in 0.3, -2/5, -1/4, 21.7? -2/5 Which is the nearest to 52? (a) 1 (b) 0.2 (c) -4 a Which is the closest to -96? (a) 2 (b) -1 (c) -0.1 (d) 0.1 b What is the nearest to -18 in 0, 6, -0.1, -1? -1 Which is the nearest to -2? (a) 5 (b) -0.3 (c) 0.5 (d) -13 b What is the closest to -5 in 1, -44, 3/4? 3/4 What is the closest to 1 in -2, 5, 3, 0.5? 0.5 Which is the closest to -31? (a) -1/2 (b) -0.1 (c) -4 (d) -0.04 c Which is the closest to -0.08? (a) -1/4 (b) -4 (c) -37 (d) -2/13 d Which is the closest to 0.2? (a) 5 (b) -2/105 (c) -3 b Which is the closest to 0? (a) -0.1 (b) -0.2 (c) 1 (d) 1/7 a Which is the closest to -0.2? (a) -0.3 (b) 2 (c) 1.3 a What is the nearest to 0.031 in -0.4, 4, -1? -0.4 Which is the nearest to -3? (a) 0.2 (b) 9 (c) -3 c Which is the nearest to 1? (a) -8 (b) 0.02 (c) -1/4 (d) 1 d What is the nearest to 1 in -0.07, -0.21, 0.2, -0.5? 0.2 Which is the closest to 0.1? (a) -0.6 (b) -0.08 (c) 1/2 (d) -2/3 b Which is the nearest to -1? (a) 0.4 (b) -0.3 (c) 0.1 (d) -4/5 d What is the nearest to 0 in -2, -2/3, -1/2, -2/17? -2/17 Which is the closest to -0.07? (a) 4/5 (b) 3/7 (c) -6 b Which is the nearest to 4? (a) -175 (b) -0.5 (c) 2/17 c Which is the nearest to -59? (a) 1/3 (b) 1/4 (c) 3 b Which is the closest to 7? (a) -2 (b) -10/9 (c) -3 (d) -5 b What is the closest to -5 in 0.5, -0.106, -4, 2/7? -4 Which is the closest to 0.3? (a) -3/2 (b) 0.1 (c) -0.03 (d) -1 b What is the closest to 0.2 in 5, -5, 0, -4? 0 What is the nearest to -2/7 in 0.5, -2/9, 3/5? -2/9 Which is the closest to -2/11? (a) -3 (b) -5 (c) 5 (d) 1.1 d Which is the closest to 4? (a) -5 (b) -4/319 (c) 0 c What is the nearest to 2 in -5, 11.6, 1, -0.1? 1 Which is the closest to 2/7? (a) -4 (b) 0 (c) -2 b What is the nearest to -0.1 in 4, -1/2, 43? -1/2 What is the closest to 1/8 in 4, -1/3, -135, 2/3? -1/3 What is the closest to 5 in -5, -7/8, -1, 6/7? 6/7 Which is the closest to 0.06? (a) 1/6 (b) -2/7 (c) -5 (d) -0.23 a Which is the nearest to -4.6? (a) -2 (b) -0.2 (c) 4 a What is the closest to 67/2 in -2, -2/3, 24? 24 Which is the closest to -0.5? (a) -2/3 (b) -3 (c) -5 (d) -19 a What is the nearest to 32 in -7, -0.3, 3? 3 Which is the closest to -3? (a) 0.5 (b) -6/5 (c) 10/21 b Which is the nearest to 0.1? (a) -0.2 (b) -6 (c) 3 (d) -3 a Which is the closest to 6? (a) 5 (b) -1/9 (c) 2/11 a Which is the closest to -7? (a) 0 (b) -15 (c) 5/3 a What is the closest to -0.01 in 5, 4/9, 1, 0.12? 0.12 Which is the closest to -0.2? (a) 0.01 (b) 0.4 (c) 1/3 (d) 3 a What is the closest to -0.2 in -4, -1, 3, -0.7? -0.7 What is the nearest to 0.1 in 533, -3/8, -5? -3/8 What is the closest to 2 in -39, 0, -1/4? 0 What is the closest to 7 in 2, 1/5, 3, -5? 3 What is the nearest to 1 in -2/9, 2/689, 3, 5? 2/689 Which is the closest to 0? (a) -3 (b) 26 (c) 0.3 (d) 4 c What is the nearest to -0.1 in 45, 0.3, 0.1, -2? 0.1 Which is the closest to -0.05? (a) 0.18 (b) 10 (c) -0.4 a Which is the nearest to 1/4? (a) -4 (b) -0.5 (c) -10 b What is the nearest to -1/7 in 6, 1.5, 0? 0 What is the closest to -0.2 in 1/9, 5, 6, 0.41? 1/9 What is the closest to -1 in 1/11, -0.4, -5, -4? -0.4 Which is the closest to -20? (a) 4.6 (b) -0.2 (c) -0.1 b What is the nearest to -3 in 1, -2/9, 41? -2/9 What is the closest to 1/4 in 11, -0.1, -30? -0.1 Which is the closest to 0? (a) -0.02 (b) 0.5 (c) -5 a Which is the closest to 0? (a) -2/7 (b) -3 (c) 0.3 (d) 2/5 a Which is the closest to 3? (a) -0.3 (b) 5/6 (c) 5 (d) 1/7 c What is the closest to 18 in -3, 3, -0.15? 3 Which is the closest to -1? (a) -4 (b) -3/4 (c) 2/9 (d) -3 b Which is the nearest to -0.1? (a) 5 (b) 0.2 (c) 2/7 (d) -1/3 d Which is the nearest to -0.1? (a) -1 (b) -4/3 (c) 3/23 c Which is the nearest to 3/2? (a) -1 (b) -2 (c) 0.2 (d) 0.3 d What is the closest to 1.3 in 0.1, -1, 0? 0.1 Which is the nearest to -1/4? (a) 5 (b) -0.2 (c) -23/5 (d) 0.4 b Which is the closest to -3? (a) 52 (b) -2/9 (c) -4 c Which is the closest to -1? (a) -14 (b) -1/3 (c) 0.2 b Which is the closest to -0.1? (a) 0.3 (b) 16/7 (c) -0.028 c Which is the closest to -1/4? (a) -1 (b) -15 (c) 1/4 (d) 0 d Which is the closest to -5? (a) -1 (b) 0.3 (c) 4 (d) 7/9 a What is the closest to 1 in -0.04, -2, 2/7, -0.8? 2/7 What is the closest to 35 in 3/8, -0.5, 12? 12 Which is the closest to -2/5? (a) -6 (b) -91 (c) 0.3 c What is the closest t
{ "pile_set_name": "DM Mathematics" }
.41 Which is bigger: -2351 or -0.02? -0.02 Is 37/41 at least as big as 0? True Are 325 and -14 equal? False Are 11946/5 and 2389 nonequal? True Which is smaller: -368 or -367? -368 Which is bigger: -237 or -238? -237 Is 1 at least as big as -1/382? True Is -11.23 != 2/19? True Is 31 at most 8? False Which is greater: -3/13 or 4? 4 Which is greater: -1/4 or -131? -1/4 Is -93 bigger than -45? False Which is bigger: -1/57 or -1? -1/57 Which is smaller: 1.4 or 5.69? 1.4 Which is smaller: -15.2 or 3/5? -15.2 Which is greater: 5/2038 or 0? 5/2038 Is 690 != 690? False Which is greater: 1117 or 0.1? 1117 Is 603/11 smaller than 56? True Which is smaller: -2/115 or 1? -2/115 Which is greater: -1/2 or -8678? -1/2 Is 29/45 < 1? True Which is bigger: -30 or -3/5? -3/5 Which is smaller: 1 or -1/43? -1/43 Which is smaller: 13/3 or -427/5? -427/5 Is -740 > -740? False Are 5 and -7/16 nonequal? True Is 1 at least 1/15052? True Which is bigger: 1835 or 1836? 1836 Is -72 at least -285/4? False Is 98 bigger than 0.08? True Which is smaller: -1/444 or -1? -1 Is 5 greater than -0.138? True Do -10 and -10 have the same value? True Is -28 at most 65? True Which is bigger: -2857 or -2859? -2857 Is -38 > 144? False Which is smaller: -1 or 2/2761? -1 Is 718 at most as big as 748? True Do -380/9 and -0.4 have the same value? False Which is bigger: 714/19 or 1/4? 714/19 Is -7841 at least as big as -7840? False Is -41.3 < 2/127? True Which is smaller: -1631 or -1632? -1632 Which is smaller: 3/505 or 1? 3/505 Is -11626 not equal to -11626? False Is 521 not equal to 520? True Is 5053 < 5056? True Which is smaller: -205 or -101? -205 Is 2 bigger than 22/25? True Is 0.9071 not equal to 1/2? True Is -18 greater than -18? False Is -1394 less than -1399? False Which is smaller: 0 or 9? 0 Which is smaller: 77/445 or -1? -1 Which is smaller: 0 or -2/1589? -2/1589 Is 0.02 at most as big as -3.1? False Which is smaller: 4 or 14/61? 14/61 Which is smaller: 439 or 0.29? 0.29 Is 669 > -2/7? True Which is smaller: 0 or 8/12751? 0 Which is greater: -21506 or -21508? -21506 Are -1014/5 and -204 unequal? True Which is greater: -26 or 3? 3 Which is greater: -1 or -4/355? -4/355 Is -1176 at least as big as -1179? True Which is smaller: -1/844 or 0? -1/844 Are -844 and -847 equal? False Which is bigger: 145 or 732/5? 732/5 Which is smaller: -7 or -42/5? -42/5 Is -27 at least as big as -27? True Are -198 and -169 equal? False Is -191 bigger than -3634/19? True Is 427 <= 4? False Which is smaller: 1826 or 1827? 1826 Is 48 > -3/8? True Which is smaller: -2722 or -1? -2722 Which is smaller: -16/981 or -1? -1 Which is bigger: 0 or -9/77? 0 Which is bigger: -1/5 or -1/8? -1/8 Is 1 smaller than -11/219? False Is 1 at most 10/29? False Which is smaller: 261 or 270? 261 Do 25 and -0.2 have the same value? False Is 43 greater than 50? False Is -5552 <= 3? True Which is smaller: -16/19 or -2? -2 Which is bigger: 10 or 0.1? 10 Which is bigger: 0 or -9/7? 0 Which is smaller: -172 or -184? -184 Is 1 less than -2/1529? False Which is smaller: -13 or 19? -13 Is -1/8 > -5? True Is 401 bigger than 0.2? True Is 28396 > 28395? True Which is greater: 0.011 or -0.4? 0.011 Which is smaller: -181 or -204? -204 Which is greater: -5847 or -5846? -5846 Which is bigger: 10/183 or 0? 10/183 Is 79 equal to 79? True Is -17/67 <= -1? False Is -4364 smaller than -4363? True Which is smaller: 0 or -2/2949? -2/2949 Which is smaller: -1 or -9? -9 Which is bigger: -1 or -3/1028? -3/1028 Is -63/8 > -9? True Which is smaller: 1 or 4/121? 4/121 Which is smaller: -48 or -45? -48 Are -34 and -35 nonequal? True Is 136 greater than 136? False Is -4711/6 at least as big as -784? False Is -2/309 greater than 1? False Is -1 bigger than -184? True Is -1335 >= -1336? True Which is greater: 7319 or 7318? 7319 Are 9 and 46 unequal? True Which is smaller: 3.4 or -7/57? -7/57 Is -2086 not equal to -1? True Is 1092 != 2? True Which is greater: -1/6 or -32/9? -1/6 Is 7/71 >= -1? True Does 2/16243 = 1? False Is 112 >= 114? False Is 228 > 228? False Which is smaller: 1/107 or 0? 0 Which is smaller: -2927 or -2926? -2927 Are 1/4148 and 0 unequal? True Which is bigger: 8/29 or 0? 8/29 Is 1232 >= 1233? False Which is bigger: -220 or -221? -220 Which is smaller: 1.008 or -1/3? -1/3 Which is greater: -0.1 or -81.8? -0.1 Does -153 = 2? False Is -1 >= 3/173? False Is -0.05979 equal to -2? False Is 1714 less than -0.07? False Which is greater: 37 or 128? 128 Is 1.1 != -0.9? True Which is smaller: 5586 or -1? -1 Is -1285 bigger than -1284? False Is -665 less than or equal to -665? True Which is bigger: -116 or -117? -116 Which is smaller: 0 or 3? 0 Which is bigger: -2701/10 or -270? -270 Which is smaller: -2 or -58/23? -58/23 Which is bigger: 8/49 or -1? 8/49 Is -1/4 not equal to -291? True Which is smaller: 236/5 or 48? 236/5 Which is greater: 40 or 1/5? 40 Which is bigger: 6674 or 6676? 6676 Is 12 greater than 489/43? True Which is smaller: 42 or 2/735? 2/735 Which is smaller: -276 or -11? -276 Is -2 at least -2.7? True Is 85 bigger than 3? True Which is bigger: -1/69189 or 1? 1 Are 5110 and 1 unequal? True Is 1 <= -2/12515? False Are -23 and -87 nonequal? True Which is bigger: 0 or -2449? 0 Which is smaller: 229 or 0? 0 Which is smaller: -0.1 or 617? -0.1 Do -15 and -4 have different values? True Are -206 and -206 equal? True Do -413 and -408 have the same value? False Is -2/9 smaller than -19025? False Which is bigger: 0.2 or -0.04? 0.2 Do -123/8 and -16 have different values? True Which is greater: 0 or -27/40? 0 Which is smaller: 251 or 249? 249 Is 194 at least as big as 195? False Which is bigger: -1/1024 or 0? 0 Which is smaller: -234/7 or -32? -234/7 Which is bigger: -17 or -341/19? -17 Which is smaller: 0.203 or 0.1? 0.1 Which is greater: -609 or -612? -609 Which is bigger: 195 or 3? 195 Which is smaller: -64 or 7? -64 Is 12 bigger than 106/9? True Is -12 < -119/9? False Is 8451 equal to 8449? False Is 27 bigger than 3? True Is -1/1102 at most as big as 1? True Is -0.2 != 11/28? True Is 5401 smaller than 5401? False Which is smaller: -666 or -5995/9? -5995/9 Which is greater: -283/2 or -143? -283/2 Does 3097 = 0.1? False Which is smaller: 308 or 6? 6 Is -566 less than or equal to -2828/5? True Is -20/157 at most -1? False Which is greater: 175 or 171? 175 Is 1 less than or equal to 2467/2? True Is -190 smaller than -190? False Which is smaller: -5797 or 0? -5797 Do -0.06 and 7/8 have different values? True Is -2 smaller than -136? False Is 0.22 > 10? False Is -499 not equal to 7? True Which is bigger: 8 or 164/19? 164/19 Is 2312 > 2313? False Is 271/4 less than 69? True Which is smaller: -726 or -728? -728 Which is smaller: -4/5 or 0? -4/5 Which is bigger: -1/2210 or 0.3? 0.3 Which is greater: 1 or 1/102? 1 Which is greater: 175 or 183? 183 Is -2/1533 < 0? True Are 0 and 3/65 equal? False Which is smaller: -49 or -232? -232 Which is smaller: -13/115 or -1? -1 Which is bigger: -120/67 or -3? -120/67 Which is greater: 0 or 11/43? 11/43 Is 3034 less than or equal to 0? False Which is bigger: 23/9 or 4? 4 Is 1 equal to 1/117? False Which is smaller: -0.1 or 83/4? -0.1 Is 28/1909 bigger than 1? False Which is greater: 315/67 or 5? 5 Are 1564 and 1565 non-equal? True Which is greater: 9 or 3.23? 9 Is -18 < 337? True Is -328 equal to -336? False Which is greater: 11121 or 11122? 11122 Is 3/5113 greater than or equal to 1? False Is 74 <= 69? False Is -1732 at least as big as -1732? True Which is bigger: -34/39 or -2? -34/39 Is 77 smaller than 75? False Is 3393 at most as big as 3394? True Are -848/31 and -28 non-equal? True Is 138 < 135? False Is 7260 less than 7259? False Is 8034/11 < 729? False Which is smaller: 3 or 0.14? 0.14 Which is smaller: -1 or 2/213955? -1 Does -3190 = -3190? True Is 588/25 >= 25? False Which is bigger: 5663 or 5662? 5663 Which is bigger: 320 or 321? 321 Is -52/167 > -1? True Is 1/172 at most 1? True Is -20 at least as big as -0.041? False Is 202 < 173? False Does 248 = 249? False Is 26062 equal to 26062? True Is -2 <= -37/20? True Which is smaller: -2/965 or 1? -2/965 Is -79 equal to -79? True Is 1 equal to -9/907? False Is 81/863 >= 1? False Which is greater: -7756 or -7758? -7756 Which is smaller: 9.56 or 5? 5 Which is sm
{ "pile_set_name": "DM Mathematics" }
5*k + b - 16. Determine y(k). 1 Let g(x) be the third derivative of 1/24*x**4 + 0 + 0*x - 2/3*x**3 - 48*x**2. What is g(-5)? -9 Let s(o) = -o**2 - 24*o - 78. Let v be s(-17). Let y(k) = 8*k + 16*k - v*k - 1 + 13*k. Give y(4). -17 Let i(a) = 2*a + 3*a - 6*a + 1. Suppose -43 = 3*d - 25, 3*d + 21 = -g. Calculate i(g). 4 Let d = 556 - 551. Let i(t) = t**2 - 7. Calculate i(d). 18 Suppose -10 = -2*j + z, 5*j = -4*z - 0*z - 1. Let w(i) = -10*i + 1. Let f(h) = -9*h + 1. Let x(m) = 5*f(m) - 4*w(m). What is x(j)? -14 Let s(y) = y**3 + 2*y**2 + 2. Let o = 26 - 28. Determine s(o). 2 Let p(i) = 6*i + 7. Suppose u = -5*w - 13, 2*u + 5*w + 13 = -8. Give p(u). -41 Let a(y) be the first derivative of -2*y**3 + y**2/2 - 148. Calculate a(-1). -7 Suppose 2*f - 4*h + 6*h = 22, -56 = -4*f - h. Let g be f/(-13) - (-12)/78. Let t(v) = 11*v**2 - 1. Determine t(g). 10 Let j be (-4)/(-6 - -2)*-5. Let c(l) = -2*l**2 - 12*l - 1. Calculate c(j). 9 Let f(o) = o - 1. Let z(j) = 6*j - 4. Let g(n) = -5*f(n) + z(n). Let k(b) = -4*b - 6. Let c(d) = -5*g(d) - k(d). What is c(-4)? 5 Suppose 117 - 41 = 4*i. Suppose 1 - i = -2*w. Let k(c) = c**2 - 9*c + 2. Calculate k(w). 2 Let a = -10 + 14. Suppose 30 - 6 = a*h. Let g(z) = 1 - h*z - 2 - 3*z**2 + 0*z + 4*z. Give g(-1). -2 Let x(p) = p**2 + 4*p + 6. Suppose 8*s = 2*s - 12. Let n be x(s). Let t(j) = -2*j. What is t(n)? -4 Let p be 14/(-3) + (-2)/(-3). Suppose -d - 3 = -5. Let s(a) = -18*a + 4*a**d + 15*a - 6 - 5*a**2. Calculate s(p). -10 Let o(w) = w**2 - 3*w - 3. Suppose 3*i + 74 = r, r - 70 = 3*i + 2*r. Let b be i/4*(-2 - 6/(-4)). Give o(b). -3 Let l be (147/12)/7*(8 - 0). Suppose 2*v + 6 - l = 0. Let t(k) = 0*k**2 + 0*k**2 - 2*k + k**2. Give t(v). 8 Suppose -6 = 2*o, -2*s = -4*o + o - 13. Let x(t) = -11 - t + 5 + 6*t**s + 6. Suppose 24 = -4*d + 5*u, -2*d - 4*u + 15 = -d. Give x(d). 7 Let h = -51 - -57. Let q(c) = 5*c**2 - 7*c - 4. Let z(t) = 4*t**2 - 6*t - 3. Let f(s) = h*z(s) - 5*q(s). What is f(2)? -4 Let t = -33 - -36. Let r(g) = -294*g**3 - g - 2*g**2 + 293*g**t - 2*g. Calculate r(-2). 6 Let g(y) = -y - 1. Suppose 6*k - 27 - 51 = 0. Suppose 4*r + 2 + 1 = 3*j, -2*r + 3*j - 9 = 0. Suppose r*i - 4 = -k. Determine g(i). 2 Let n(z) = z**2 - 28*z - 99. Let o be n(-3). Let i(w) = w**3 + 6*w**2 + 3*w + 8. Calculate i(o). -10 Let k(p) be the second derivative of -p**3/3 - 7*p**2/2 - 238*p + 2. Calculate k(-1). -5 Let z(n) be the third derivative of n**8/20160 + n**7/1680 + n**6/360 + n**5/15 - 13*n**2. Let y(f) be the third derivative of z(f). Calculate y(-4). 6 Let b(l) be the first derivative of l**3/3 - 6*l**2 + 13*l - 655. Give b(9). -14 Let s = 164 - 168. Let l(a) = -a**3 - 4*a**2 + a + 2. Determine l(s). -2 Let g(l) = -7*l**2 + 10*l + 5. Let d(w) = -16*w**2 + 20*w + 11. Let x(a) = -3*d(a) + 7*g(a). What is x(9)? 11 Let t(s) = -s**3 - 9*s**2 - 8*s - 1. Let w = 43 + -32. Suppose w*a - 13*a - 16 = 0. Calculate t(a). -1 Let h(o) = -3*o + 30. Let d be h(10). Let u(t) = -6 - 317*t**2 + d*t + 318*t**2 + 4*t. Give u(-6). 6 Let s(j) = 10*j - 4*j**2 - 12 + 13*j**2 - 10*j**2. Determine s(8). 4 Let o(y) = -2*y - 21. Suppose 3*m + 6 = -0*m. Let w = -11 - m. Let p be o(w). Let r(h) = -h**2 + 3. Determine r(p). -6 Let r(y) = -2*y**2 + 0*y**2 + 14*y + 0 - 5. Let f be ((-150)/24 - -6)*20. Let c(o) = -o**2 + 7*o - 3. Let u(m) = f*c(m) + 3*r(m). Give u(7). 0 Let i(u) be the third derivative of -u**4/12 + 5*u**3/6 + 4*u**2 + 43*u. Let s be (-2)/(-5) - 39/(-15). Let j be (2/3)/(s/18). Determine i(j). -3 Let j be (56/(-15))/(-2) + 8/60. Let n(r) = -56*r**2 - 4 + 112*r**2 - 57*r**j + 4*r. Calculate n(5). -9 Let i(q) = -q**2 - 3*q - 1. Let t be i(-2). Suppose t = -p - 3. Let c(h) be the first derivative of h**2 + 6*h + 18. Determine c(p). -2 Let n be (-319)/(-870) + 22/(-10) + 2. Let b(c) be the second derivative of 0 + 4*c - c**2 + n*c**3. Determine b(0). -2 Suppose 0 = g - 3*h + 6, -11 + 5 = -3*h. Let t(o) = 7*o + 7*o + g*o - 15*o. Calculate t(-2). 2 Let j(h) = -h**2 - 4*h - 1 - 3*h - 2. Let x = 148 - 155. What is j(x)? -3 Let i(v) be the first derivative of -6*v**2 + 5*v + 5. Let n(q) = -13*q + 6. Let h(k) = -5*i(k) + 4*n(k). Determine h(2). 15 Let q(o) = o**2 + 9*o - 10. Let t be ((-255)/(-102) - (1 + -1))*-4. Determine q(t). 0 Let j(a) = 0*a - 5 - 1 + 3*a + 7. Suppose 2 = 3*d - 3*m + 8, -4*d - 4*m + 32 = 0. Suppose 0 = d*y + 9 - 3. Calculate j(y). -5 Let z(u) = 20*u + 7*u**2 + 6 + 1 - 21*u. Let f(p) = 15*p**2 - 3*p + 15. Suppose -2*w = -0*w + 26. Let v(j) = w*z(j) + 6*f(j). Calculate v(-4). 3 Let a(u) be the first derivative of 3*u**2/2 - 3*u + 22. Let v be a(1). Let q(t) = t**2 - t + 3. What is q(v)? 3 Let s(u) = u**2 - 5*u + 3. Suppose -f + 21 = -2*z, -3*z = 3*f + 10 - 64. Suppose -3*m + f = l, 2*l = m - 3 - 1. Calculate s(m). 9 Suppose -8*g = -6*g + 8. Let x be 10*((3 - -3)/(-3))/g. Let s(n) = n**3 + 2 + 8*n - 7*n**2 - 10 + 1. Determine s(x). -17 Let j(s) = 2*s - 6. Suppose 7 = i - y, 2*i - 3*y - 13 = 2. Let c be (-9)/6*(-4)/i. Let g be c/(-5) - 31/(-5). Calculate j(g). 6 Let h = -5 - -3. Let n be 4/(2 - (-4 - -4)). Let r(o) = -o**2 + 3 + n - 3*o - 4. Determine r(h). 3 Let s(x) = -2*x**2 - 2*x + 2. Suppose -60*g + 56*g = 4*w, -5*w + 24 = -g. What is s(g)? -22 Let r be (8 - 7)/((-27)/30 + 1). Let y = -1 + 3. Suppose -p - y*m - r = m, 3*m - 4 = p. Let k(x) = -x**3 - 8*x**2 - 9*x - 8. What is k(p)? 6 Let a(h) be the first derivative of h**4/4 + 5*h**3/3 + h**2 - 3*h - 17. Suppose -15 = 26*l + 89. Give a(l). 5 Let r(z) be the first derivative of z**4/2 + z**3/3 - 2*z**2 + 5*z - 235. Determine r(0). 5 Suppose -6*q = -5*q - 25. Let r(s) = -31*s**2 - q*s**2 - 7*s + 57*s**2 + 2. Determine r(7). 2 Suppose 2*j = z + 17 - 29, 0 = -2*z + j + 24. Let y(c) = c**3 - 13*c**2 + 10*c + 10. Give y(z). -14 Suppose -3*t - 9 = 0, -4*t = -3*s + 11 + 37. Suppose 7*m = 10*m - s. Let z(x) be the first derivative of 2*x**3/3 - 5*x**2/2 - 2*x + 1. What is z(m)? 10 Let t = -28 + 23. Let m(q) = 2*q**3 + 7*q**2 + 8*q + 15. Let c(i) = -i**3 - 3*i**2 - 4*i - 8. Let w(p) = 5*c(p) + 3*m(p). What is w(t)? 10 Let q(w) = w + 3 + 2 + 0 - 4*w + 5*w. Determine q(-5). -5 Let g(m) = 1 - 3*m + 0*m - 7*m. Let z be (1 + -2 - -1)/(-24 - -26). Let c be (-14)/(-14) - z/(-1). Calculate g(c). -9 Let s(q) = -q**2 - 4*q + 8. Suppose 0*c = 8*c + 48. Calculate s(c). -4 Let k(r) = 2*r**3 + 2*r**2 + r - 1. Let i(u) = -2*u**3 - 3*u**2 - 2*u + 1. Let m(t) = 3*i(t) + 4*k(t). Calculate m(-1). -2 Let x(h) = h. Suppose 4*n = -0*m - 4*m - 128, -4*n + 4*m - 112 = 0. Let k be n/18 + 2/3. What is x(k)? -1 Suppose -331*h = -249*h - 82. Let u(k) be the second derivative of 7*k**5/20 + k**4/6 - k**3/3 + k**2/2 - k. Determine u(h). 8 Let c(j) = -j**2 + 5*j - 4. Let v(n) = -n + 4. Let i be v(0). Let o(x) = 0 - 1 - i*x - 4. Let m be o(-2). Calculate c(m). 2 Let o(b) = 7*b**2 + b + 2. Let r(a) = 3*a**2 + 1. Let z(q) = 2*o(q) - 3*r(q). Calculate z(-1). 4 Let c(p) = 4*p. Let n = -119 - -129. Let g(m) = m**3 - 10*m**2 - m + 8. Let j be g(n). Give c(j). -8 Let j(n) = -3*n - 6. Let i(k) = k - 11. Let c be i(9). Let x be c + 5 + (0 - 0). Suppose 6*t = x*t - 12. Calculate j(t). 6 Let i(s) be the second derivative of -1/12*s**4 - 1/20*s**5 + 7/2*s**2 + 0*s**3 + 0 + 44*s. Calculate i(0). 7 Let d(w) be the third derivative of 2*w**5/15 - w**4/12 + 70*w**2 + w. Calculate d(2). 28 Let w(j) = -293*j + 109*j + 107*j + 96*j. Give w(-1). -19 Let j(z) = -2*z + 2. Let d(l) = -l + 2. Let t(n) = 6*d(n) - 5*j(n). Let w(c) = 1. Let i(a) = -t(a) - 5*w(a). Calculate i(-5). 13 Let r(t) = t**3 - 5*t**2 + 4*t - 1. Let c(p) = 2*p**2 - 9*p - 6. Let z be c(7). Let m = 31 - z. Let g = m + 1. Calculate r(g). -7 Let h(y) = y**2 + 162 - 295 - y + 120. Calculate h(10). 77 Let x(w) = w**3 - 2*w**2 + w + 3. Let s be (1 - 1)*(-1 + 2)*-1. Let o be x(s). Let g(c) = -c**3 + 5*c**2 + 1. Calculate g(o). 19 Let t(q) be the third derivative of -1/6*q**3 + 0*q - 10*q**2 + 0 + 1/6*q**4. Determine t(4). 15 Suppose -3*x + 6 = -2*x. Let l be (-17)/(-5) - 4/(-40)*x. Let w(j) = -2*j + 1. Give w(l). -7 Let s = -10 + 5. Let b(h) = 2 + 6*h - 3 + 0*h**2 + h**2. What is b(s)? -6 Let d(k) = -8*k - 5 + k + k**2 + 2*k. Let z be 16/(-88) - 969/(-187). Determine d(z). -5 Let l(d) = d**2 + 8*d + 4. Let f(q) = -q**3 + 13*q**2 + 2*q - 32. Let i be f(13). Give l(i). -8 Suppose -
{ "pile_set_name": "DM Mathematics" }
. 2*g - 14 Let f(n) = 3*n - 1 + 2 + 1. Let l(j) = -5*j - 5. Let h(o) = 9*o + 10. Let s(i) = 6*h(i) + 15*l(i). Let x = 14057 + -14042. Give x*f(v) + 2*s(v). 3*v Let l be 632/(-104) + 1/13. Let d(g) = 2*g**3 + 4*g**2 - 3*g + 4. Let t(u) = -4*u**2 - u**3 - 1 - 4*u**2 + 7*u**2 + u. Determine l*t(x) - 2*d(x). 2*x**3 - 2*x**2 - 2 Let o(g) = -179*g**3 + 3*g**2 - 5. Let m(v) = -180*v**3 + 2*v**2 - 4. What is 5*m(s) - 4*o(s)? -184*s**3 - 2*s**2 Let p(t) = -4*t**2 + 8*t. Suppose 26*a - 23*a = 9. Suppose 0 = -3*z + 5*v + a, 4*v - 12 = -3*z + 18. Let s(l) = -9*l**2 + 17*l. Give z*s(c) - 13*p(c). -2*c**2 - 2*c Let w(s) = 2*s**3 + 13*s**2 + 23*s + 15. Let l(f) = -f**3 - 6*f**2 - 11*f - 7. Calculate -13*l(q) - 6*w(q). q**3 + 5*q + 1 Let p(v) = v - 5. Let k(y) = -3*y + 18. Suppose i - 5*r = 10, -32*i + 5*r + 40 = -37*i. Determine i*k(h) - 18*p(h). -3*h Let m(z) = 6*z + 1. Let v be m(-1). Let j(h) = -3*h + 4. Let g(s) = 1689*s - 3 - 862*s - 824*s. Determine v*g(w) - 4*j(w). -3*w - 1 Let b(v) = -2*v**2 - 3. Let d be 20 + -15 + -1 + 7. Let c(j) = 6*j**2 - j + 8. Give d*b(u) + 4*c(u). 2*u**2 - 4*u - 1 Let j(k) = -2*k**3 - 2*k**2 - 10*k + 5. Let l(f) = -3*f**3 - 3*f**2 - 11*f + 4. What is -5*j(p) + 4*l(p)? -2*p**3 - 2*p**2 + 6*p - 9 Let m(a) = 27*a**2 + a - 6. Let h(v) = -18*v**2 - v + 4. Give -7*h(y) - 5*m(y). -9*y**2 + 2*y + 2 Let c be (3 - (2 - 1))*1. Suppose -5*k - c*r + 10 = 0, 3*k + 7 = -4*r - 1. Let w(b) = -3*b**2 - 6. Let s(f) = -4*f**2 - 7. Determine k*s(j) - 5*w(j). -j**2 + 2 Let j(k) = 0*k - 6*k**2 + 167 - 165 - k + k**2 - k. Let f(m) = 4*m**2 + m - 2. Determine -6*f(d) - 5*j(d). d**2 + 4*d + 2 Suppose z - 3 + 13 = 0. Let d(m) = -m + 3. Let v(k) = -2*k + 5. Calculate z*d(b) + 6*v(b). -2*b Let o(h) be the third derivative of -h**6/60 - h**5/60 - h**4/12 + 3*h**2. Let r(w) = 6*w**3 + 3*w**2 + 7*w. Let t = 346 + -353. Give t*o(z) - 2*r(z). 2*z**3 + z**2 Suppose 1034*x = 1029*x - 25. Let z(c) = -20*c**2 + 16*c - 16. Let g(o) = 7*o**2 - 5*o + 5. What is x*z(d) - 16*g(d)? -12*d**2 Let f(u) = 3*u**2 + 7*u + 1. Let v(j) = -2*j**2 - 4*j - 1. Suppose -502*k + 16 = -506*k. What is k*f(s) - 7*v(s)? 2*s**2 + 3 Let m(u) = -235*u + 3. Let p(a) = 940*a - 13. Determine 9*m(i) + 2*p(i). -235*i + 1 Let g(q) = q**2. Let d(a) = 4. Give d(t) - g(t). -t**2 + 4 Let b(a) = -5*a**3 - 4*a**2 - 147*a + 8. Let j(s) = 6*s**3 + 5*s**2 + 144*s - 10. Calculate -5*b(l) - 4*j(l). l**3 + 159*l Let v(q) be the first derivative of 0*q**2 + q - 1/3*q**3 - 2. Let o(i) = -i**3 + 7*i**2 - 7. Determine -2*o(m) - 14*v(m). 2*m**3 Let j(l) = -12*l**3 - 14*l**2 + 2*l + 3. Let n(r) = -4*r**3 - 5*r**2 + r + 1. Determine -4*j(p) + 11*n(p). 4*p**3 + p**2 + 3*p - 1 Let d(y) = 5*y**3 + 6*y**2 + 17*y - 14. Let t(r) = 2*r**3 + 2*r**2 + 6*r - 5. Let b(u) = -3*u**3 - 2*u**2 + u + 3. Let i be b(-2). Give i*t(g) - 6*d(g). 4*g**3 - 2*g**2 - 1 Let d be ((-6)/(-4))/(30/40). Let a(w) = 6*w**2 - 6 - 21*w**3 + w + 18*w**3 - 9*w + d*w. Let v(l) = -6*l**3 + 13*l**2 - 13*l - 13. Determine -13*a(g) + 6*v(g). 3*g**3 Let p(z) be the third derivative of -z**5/20 + 5*z**3/6 - 13*z**2 - z - 32. Let c(b) = -2*b**2 + 4. Let r be ((-4)/6)/((-2)/(-12)). What is r*p(j) + 5*c(j)? 2*j**2 Let a(q) = 6*q**2 + 21*q - 31*q - 4 - 3 + 19*q. Let x(o) = -3*o**2 - 4*o + 3. Suppose -2*m + 3*m - 9 = 0. What is m*x(j) + 4*a(j)? -3*j**2 - 1 Let n(k) = 6*k**2 - 54*k + 30. Let a(d) = 3*d**2 - 28*d + 14. Give 13*a(b) - 6*n(b). 3*b**2 - 40*b + 2 Let q(x) = -5*x**2 - 6. Let r(w) = 11*w**2 + 13. Let u be (-2852)/230 - 3*2/10. What is u*q(l) - 6*r(l)? -l**2 Let g(a) = -477*a**2 + 4. Let t(y) = -54383*y**2 + 457. Calculate 457*g(o) - 4*t(o). -457*o**2 Let t(h) = -2*h**3 + 116*h**2 + 10*h - 5. Let j(n) = 3*n**3 - 117*n**2 - 12*n + 6. Give -5*j(g) - 6*t(g). -3*g**3 - 111*g**2 Let i(p) = -134*p - 3. Let j(y) = -531*y - 11. Give -22*i(c) + 6*j(c). -238*c Let z(b) = -42*b**3 + 6*b**2 - 4*b - 13. Let i(k) = 41*k**3 - 7*k**2 + 5*k + 15. Determine 6*i(u) + 7*z(u). -48*u**3 + 2*u - 1 Let u(r) = 18*r + 35. Let x be u(-2). Let o(c) = c**2 - c. Let v(d) = d**2 - 3*d + 2. Calculate x*v(y) + 2*o(y). y**2 + y - 2 Let t(m) = -2*m**2 - m - 1. Let f(g) be the second derivative of g**4/3 + g**3/6 - 12*g. Let r(p) = 3*p**2 + p. Let b(y) = 2*f(y) - 3*r(y). What is b(z) - t(z)? z**2 + 1 Let z(c) = -1518*c**2 - 7*c + 7. Let q(i) = 761*i**2 + 3*i - 3. What is 7*q(t) + 3*z(t)? 773*t**2 Let w(u) = -3*u - 151. Let s(a) = 15*a + 602. Give -2*s(p) - 9*w(p). -3*p + 155 Let k(s) = 12*s**2 - 43*s - 7. Let r(h) = -5*h**2 - h - 1. Determine k(q) + 2*r(q). 2*q**2 - 45*q - 9 Let u(y) = -124*y**3 - 2*y**2 - 2*y. Let h(z) = -124*z**3 - 3*z**2 - 3*z + 1. Determine 2*h(s) - 3*u(s). 124*s**3 + 2 Let r(n) = -20*n + 5. Let v(c) = 2*c. Calculate -r(k) - 6*v(k). 8*k - 5 Let f(q) be the first derivative of 7*q + 5/3*q**3 + 5/2*q**2 + 44 + 9/4*q**4. Let b(t) = 5*t**3 + 3*t**2 + 3*t + 4. Give 5*b(p) - 3*f(p). -2*p**3 - 1 Let j(v) = v + 9. Let t(k) = -4. Suppose 4*b + 18 = -i, 3*b - 4*i = -5*i - 13. Calculate b*t(z) - 2*j(z). -2*z + 2 Suppose -45 = -4*t + 13*t. Let a(i) = -6*i**3 - 2*i**2 - 2*i - 2. Let y(n) = 12*n**3 + 5*n**2 + 5*n + 5. Give t*a(s) - 2*y(s). 6*s**3 Let v(g) = 14*g - 9*g - 11 + 6 + 18*g. Let l(s) = 57*s - 12. What is 5*l(y) - 12*v(y)? 9*y Let w(y) = -2*y - 3. Let o(j) be the third derivative of -29*j**2 + 0*j + 0 - 8/3*j**3 - 5/12*j**4. Determine -3*o(h) + 16*w(h). -2*h Let v(q) = 1. Let a(y) = 6*y - 5. Let l(g) = -5*g + 4. Let n(d) = 4*a(d) + 5*l(d). Suppose -1 = -5*f - 3*o, 4*o + 4 = 3*f + 15. Calculate f*n(w) + v(w). w + 1 Let n(p) = 8*p + 20. Let y(a) = a - 1. What is -n(q) + 12*y(q)? 4*q - 32 Let r(n) = -18*n - 79. Let k(l) = l + 10. What is -24*k(f) - 3*r(f)? 30*f - 3 Let u(x) = -11*x**2 + 10*x + 4. Let y(l) = -12*l**2 + 9*l + 6. Determine 3*u(o) - 2*y(o). -9*o**2 + 12*o Let d(m) = 9*m - 6. Let i(q) = q**3 + 7*q**2 + 5*q - 5. Let t be i(-6). Let z be (-32)/(1 + t)*2/(-8). Let n(c) = -8*c + 5. Give z*d(j) + 5*n(j). -4*j + 1 Let q(z) be the third derivative of 4*z**5/3 + 25*z**4/24 - 15*z**2 - 4. Let f(s) = 10*s**2 + 3*s. Give 25*f(u) - 3*q(u). 10*u**2 Let w = -4 - -6. Let b(x) = -17 + 6 + 6 - 17*x. Let y(g) = 4*g + 1. Determine w*b(t) + 9*y(t). 2*t - 1 Suppose 2 = w - j, -5*w + j = -w - 8. Let r be -3 - (-2 + 9 + -8) - -3. Let z(l) = 2*l**3 + 2*l**2 - 4*l - 3. Let a(s) = -s**2 + 1. Determine r*z(n) + w*a(n). 2*n**3 - 4*n - 1 Suppose 8*d - 3*d + l = -18, -5*l = -5*d. Let x(u) = -2*u - 1. Let t(k) be the first derivative of -k**2/2 - k - 145. Determine d*x(i) + 5*t(i). i - 2 Let h(c) = -224*c**2 - 3*c - 3. Let i(p) = 669*p**2 + 11*p + 10. Determine 10*h(f) + 3*i(f). -233*f**2 + 3*f Let b(n) = 12*n + 1. Let m(i) = -6*i. Let f = 2241 + -2246. What is f*m(q) - 2*b(q)? 6*q - 2 Let u(n) = 3*n**2 - 2*n. Let i(j) be the first derivative of -8*j**3/3 + 3*j**2 + 159. Give -4*i(m) - 11*u(m). -m**2 - 2*m Let l be 1/(-4) + 25/4. Let c(k) = 0*k - k - 7 + l. Let t be 0 + 1/2*4. Let b(w) = w + 2. Give t*c(h) + b(h). -h Let p(n) = -n**2 + 4. Let k(d) = 1. Suppose -13*s = -12*s - 4. Let v(i) = 1. Let h(u) = s*v(u) - 5*k(u). Calculate -3*h(b) - p(b). b**2 - 1 Let y(d) = -3*d**3 - d**2 + 9. Let q(p) = -2*p**3 - p**2 + 4. Give 5*q(x) - 3*y(x). -x**3 - 2*x**2 - 7 Let o(j) = 4*j**2 + j + 6. Let l(n) = -9*n**2 - n - 12. Determine -3*l(f) - 5*o(f). 7*f**2 - 2*f + 6 Let c(l) = -455*l - 2. Let p(d) = -455*d - 2. What is -6*c(u) + 7*p(u)? -455*u - 2 Let i(l) be the first derivative of -5*l**4/4 + 3*l**2 + 5*l - 30. Let r(s) = -10*s**3 + 11*s + 9. Calculate -11*i(w) + 6*r(w). -5*w**3 - 1 Let a(x) = -7*x**3 + 5*x**2 - 5. Let y be -10*(48/15)/2. Let g = -1 - y. Suppose -g = -4*h + 7*h. Let b(i) = -6*i**3 + 4*i**2 - 4. Give h*b(q) + 4*a(q). 2*q**3 Suppose 10*t - t + 76 = -a, -5*t - a - 44 = 0. Let k(q) = -4*q + 11. Let n(l) = -3*l + 7. Give t*n(h) + 5*k(h). 4*h - 1 Let q(d) = 12*d - 8. Let x(w) be the third derivative of -w**4/3 + 5*w**3/6 + 2*w**2. Suppose 3*l = p + 9 - 4, 3 = -3*l. Determine p*x(f) - 5*q(f). 4*f Let z be 14 + -3 - (-396)/(-99). Let i(h) = 2*h - 13. Let x(u) = u - 2*u + 0*u + 9. What is z*x(p) + 5*i(p)? 3*p - 2 Let z(c) = -25*c - 1. Let x(k) = -11*k - 10. Let v(a) = 21*a + 18. Let o(d) = -5*v(d) - 9*x(d). Calculate 9*o(j) - 2*z(j). -4*j + 2 Let s(t) = -6*t + 24. Let u(b) be the first deriv
{ "pile_set_name": "DM Mathematics" }
gger: y or 2/25? y Let b = 11 - -4. Is 1/4 < b? True Let i be (1 + 2)*4/6. Let k(v) = -2*v - 9. Let c be k(-4). Let r = c - i. Is r <= -4? False Let p(k) = k**3 + 15*k**2 - 18*k - 20. Let g be p(-16). Is 12 < g? False Suppose c = 3*c - 8. Let m = 76 - 43. Let p be (-27)/m - c/22. Is p smaller than -1? False Let s = -6/11 - -53/77. Are s and -5/6 equal? False Let i(f) = f**2 - 8*f - 9. Let j be i(9). Let q be j/(-2) + 1/4. Is 1 bigger than q? True Suppose -77 = -3*t - t + 5*j, -t + 18 = -j. Which is greater: t or 11? t Let l = 8 - 9. Which is greater: l or 0? 0 Suppose 3*q - 4*q - 1 = 0. Is 0 != q? True Let v = -21/2 + 11. Suppose 2*t - 10 = -5*x + 3*t, 0 = x + 3*t - 18. Suppose -5*i + 18 = 4*w, 0*w + 3*i = -x*w + 12. Which is bigger: w or v? w Let a be 27/(-18)*16/(-6). Suppose -i = -a*c - 6, -4*i - c = i + 33. Are -8 and i equal? False Let c(q) = q + 6. Let m be c(-10). Let h = 5 + m. Which is smaller: h or 1/2? 1/2 Suppose 14*u + 20 = 4*u. Suppose -5*o + 2*t = -20, o - 4*t - 1 = -15. Let x(w) = -w**2 + 5*w + 5. Let c be x(o). Is c not equal to u? True Suppose 178 = -3*t + 34. Let p = t + 28. Let h be ((-8)/p)/(8/10). Which is bigger: 1 or h? 1 Let a(i) = -i + 1. Let s(f) = f**2 + 12*f + 6. Let x(u) = 3*a(u) + s(u). Let j be x(-7). Is -4 at most j? False Let j = 0.15 + -0.05. Is 3/4 at most j? False Let l be 13489/1876 - 8 - 6/(-8). Which is smaller: 0 or l? l Let i = -29.8 - -5.6. Let t = -24 - i. Which is smaller: t or 4? t Let j = 0.26 - 12.26. Let w = j - -14. Let k = 10/11 - 28/55. Is k < w? True Let q(p) = 3*p**2 - 2*p + 1. Let b be q(1). Do b and -5 have different values? True Suppose 3*c = 14*c + 11. Let q be (-4)/(-14) + 64/(-322). Which is bigger: c or q? q Let c = 55 - 54.9. Suppose 0*p + 25 = 5*p. Is p > c? True Suppose -4*q - 4 = -2*w + 12, 4*w - 5*q - 41 = 0. Suppose -w = 3*i + d + 18, 4*i - d = -38. Let b be i/(-8) + 1/(-1). Which is smaller: 0 or b? 0 Let t = -3 - -7. Let b = 170/3 + -53. Which is greater: b or t? t Suppose 4*w = 5*o - 5, o - 1 + 0 = 3*w. Is o at most -4/17? False Let q(i) = 3*i**3 + 2*i**3 - i**3 + 5*i**2 - 3*i**3. Let n be q(-5). Suppose -t - 3*m - 5 = n, m = 5*t + 2*m + 25. Are t and -2/7 equal? False Suppose 2*q + 4 = -14. Let v = q - -6. Let x = -106 - -105.9. Are v and x unequal? True Suppose -6*y = -13*y + 49. Is y not equal to 9? True Let r = -0.9 - -1.9. Let j = r - 1.1. Which is bigger: j or -1? j Suppose 4*l + 2*i = -3*i + 14, 0 = -l - i + 4. Let g be ((-3)/l)/(1/4). Let f be g/3 - 4/(-9). Which is bigger: f or 0.1? 0.1 Let u(a) = a**3 + 9*a**2 + 13*a + 20. Let m be u(-8). Which is smaller: -18 or m? m Suppose 4*q = u - 6*u - 47, -2*q - 3*u = 25. Let o be (-6)/q - 17/(-4). Which is bigger: 6 or o? 6 Let l be (-256)/(-24)*(-3)/2. Which is smaller: l or -17? -17 Let z be ((-2508)/(-630))/(4/6). Let v = z + -27/5. Which is smaller: 4 or v? v Let p be -3 - ((-1113)/(-60))/(-7). Let n = 3/5 + p. Are n and -3 unequal? True Let p = -52/69 + 2/23. Which is greater: -0.9 or p? p Let x(a) = -2*a - 6. Let u be x(-3). Is 1 greater than or equal to u? True Let i(m) = -m**2 + 4*m + 6. Let o be i(6). Let j(d) = d**3 + 7*d**2 + 7*d + 6. Let f be j(o). Is f >= 3/5? False Let a = 27.1 - 27. Is -4/13 greater than or equal to a? False Suppose 4*h = -0*h + 4. Suppose -j + h - 2 = 0. Let n = -404/7 - -58. Is n at most j? False Let r = 12851/9 - 1424. Is 4 >= r? True Suppose -22 = -4*v - 34. Let w = 0 - 0. Which is bigger: w or v? w Let a = 5.3 + -6.3. Is a less than 0.026? True Let f = 78/7 + -82/7. Let l(x) = x**3 + 6*x**2 + 4*x - 6. Let o be l(-5). Which is smaller: f or o? o Suppose 141*h - 144*h - 18 = 0. Is h <= -36/5? False Suppose x = 2*x. Suppose 0 = 5*y - l + 4*l - 10, l = 4*y - 8. Let v be (-2)/10 + y/10. Is v bigger than x? False Let x = 4.361 - -0.039. Let r = -0.4 + x. Let a = 3 - r. Which is smaller: a or 2? a Let y be (-10)/(-35) - 13/21. Suppose 2*f + 4*r = -8, -4*f = -2*r + 5 + 21. Let x be 2/((-1)/(3/f)). Which is smaller: y or x? y Suppose -5*x + 2*x = 33. Is -13 smaller than x? True Suppose 3*l - 24 = -3*l. Let h be ((-2)/(-3))/(8/60). Let s = l - h. Which is smaller: s or 1? s Let c(h) = h**3 - 2*h**2 + h + 2. Let j be c(2). Suppose j*f = f + 15. Is 5 >= f? True Let n(b) = -b**2 + 4*b - 2. Let d be n(0). Which is greater: d or -5/3? -5/3 Let q be (10/(-5))/(2/29). Is -28 != q? True Let b = 163423/2556 - 41/852. Let y = 63 - b. Which is smaller: y or -1? -1 Let a = 2 + -2.06. Let t = a + 0.06. Which is greater: 1 or t? 1 Let v = 21.2 - 21. Is -1 < v? True Let d = -19 + 27. Let o = d + -11. Let w = o + 3. Which is greater: w or -1? w Let d = -2 - 0. Let v be d*(1 - 6/4). Are -1/3 and v equal? False Suppose c = -2, b - c + 10 = 5*b. Let q = 2 + 1. Is b less than or equal to q? True Let x = 13/3 - 7. Is x > -4? True Let f be (1/2)/(57/(-152)). Suppose -6*m = -2*m + 4. Is m less than f? False Let r = -1041696/55 + 18939. Let f = r - -8/11. Is f smaller than 0.2? True Let y = -116/3 - -39. Let t = 0 - 0.1. Which is smaller: t or y? t Suppose -3*w + 17 = s, -3*w - 4*s + 20 - 6 = 0. Let z = w - 3. Are z and 3/2 equal? False Let i = 9 + -11. Let s = i + 3. Which is bigger: -2/23 or s? s Let d = -109/5 + 22. Is 0 greater than or equal to d? False Let g be 6628/(-42)*(-36)/(-8). Let d = g - -3001/7. Let p = d + 281. Which is greater: p or 0? 0 Let m be 2*(-3)/3*1. Let a be (1 + (-10)/m)*-1. Let w be 2 + 0 + 3/a. Which is greater: 1 or w? w Let o = -6 + 8. Suppose 2*r = -r + 24. Suppose o*p = -2*p + r. Which is smaller: 3 or p? p Let i = -47 - -152. Let s = -417/4 + i. Is 2 less than or equal to s? False Let o = 16.8 - 13. Let z = 0 + 0.2. Let p = z + o. Is p <= -2/3? False Let c = -3 + 3. Let i be (1 - -1) + 0 - -164. Let b = i + -833/5. Does c = b? False Let g(a) = -a + 9. Let s be g(7). Let y be (-1)/s + (-6)/(-8). Let i(p) = -p**3 + 6*p**2 + 8*p - 6. Let w be i(7). Is y bigger than w? False Let i be 2 + (-1)/(14/1138). Let s = i + 79. Suppose 6*o + 5 = o. Which is bigger: s or o? s Suppose d - 4*d + 15 = 0. Suppose -2*k + 8 = 2*k. Suppose -3*u - d = -k*u. Which is smaller: -6 or u? -6 Let p = 0.23 - -5.77. Is 4 > p? False Let h be ((-2)/(-4))/((-9)/(-12)). Let i = -5 - -6. Let d be (3 - 2)/(2 - i). Which is bigger: d or h? d Let k(p) = 6*p**2 - 7*p + 9. Let x be k(2). Is x at most as big as 19? True Let j(z) = z**3 - 2*z**2 - 3*z + 2. Let p be j(3). Let m(g) = g**2 + 8*g + 9. Let w be m(-7). Suppose -3*f = f - 2*v - 18, w*v = -f - 3. Are f and p equal? False Let u be 266/(-126) - (-2)/1. Which is bigger: u or -1? u Let c(z) = 5*z - 3. Let a be c(2). Let o(b) = b**3 - 8*b**2 + 8*b - 2. Let r be o(a). Let m = 12 + -6. Is m at most as big as r? False Let z be (4 - -3)/(6 + -5). Is 32/5 smaller than z? True Let w(i) = -2*i**2 + i**2 - 5 + 5*i + 1. Let f be w(3). Is 1 smaller than f? True Let g = 0.006 - -19.994. Which is bigger: 0 or g? g Let t = 175/3 - 59. Suppose 5*m - 3 = 2*m. Let z be m/4 + 0/8. Which is bigger: z or t? z Let s be (8/(-20))/((-32)/30). Which is smaller: s or 2? s Let x = 9 - 27. Is 0.1 >= x? True Let d = -0.74 - -0.94. Which is greater: 1 or d? 1 Suppose 0 = 2*d + d - 3*g, 2*d - g = -4. Let k be d/14 - (-4)/14. Suppose 0 = -f - o - 2*o + 2, 4*o - 2 = -2*f. Which is greater: f or k? k Let n = 1179/5 + -235. Is n bigger than 1? False Suppose 0 = -3*t + 4*t + 1. Let q = 1 + t. Is 1/6 smaller than q? False Let p = 506/189 - 26/27. Does 1 = p? False Suppose 3*h = 5*h + 2. Let r be (-3)/(3*h/2). Do 3 and r have the same value? False Let b = -0.06 - 1.94. Let f = -2.8 - b. Let s = -2.8 - f. Is -2/7 at least as big as s? True Let u be (4/1)/(2 + 0). Let q be 1 + 2 + -2 - u. Is -1 >= q? True Let m(c) = 2*c**2 + 41*c + 12. Let p be m(-20). Let g = -2 + 3. Which is smaller: p or g? p Let z be (5 + (-141)/45)*1. Are 3 and z equal? False Let n be 950/6*15/55. Let z = -43 + n. Let x be 2/(-3) - 160/(-150). Is x >= z? True Let a be (4/(-6))/((-2)/(-51)). Which is smaller: -2 or a? a Let a = 226441/123 + -1841. Is 1 smaller than a? False Let d = 11 - 15. Let i = d - -3.7. Let b = -0.3 - i. Which is bigger: 2/9 or b? 2/9 Let y = -136 - -135. Are y and -103 nonequal? True Let t be 6/8 + (-22)/40. Let r = 342 + -5132/15. Is r at least as big as t? False Suppose 0 = 3*l - l - 6. Suppose 3*i = 3*x, -x = -2
{ "pile_set_name": "DM Mathematics" }
base 16, what is -1 + 666? 665 In base 6, what is -2 + 10014? 10012 In base 12, what is 1803 - -1? 1804 In base 6, what is 2 + 104? 110 In base 11, what is -1457 + -4? -1460 In base 5, what is -4 + -3422? -3431 In base 7, what is -2 - 2155? -2160 In base 5, what is -131422 + 1? -131421 In base 2, what is -1010011 - 10? -1010101 In base 12, what is -9 - 511? -51a In base 3, what is -12 - 1201? -1220 In base 2, what is -1110111 + -11? -1111010 In base 9, what is -31336 + 1? -31335 In base 3, what is 2220 - 12? 2201 In base 7, what is 1636 - 4? 1632 In base 13, what is -9 - -127? 11b In base 13, what is -190 + 10? -180 In base 8, what is 20 - 166? -146 In base 14, what is 13d + 47? 186 In base 15, what is 47e2 - 4? 47dd In base 11, what is -10 + 10? 0 In base 11, what is 2a5 - 4? 2a1 In base 8, what is 17413 + 3? 17416 In base 11, what is -26 + -10? -36 In base 11, what is -3 + 1358? 1355 In base 6, what is -1 + -4? -5 In base 4, what is 1 - -1231121? 1231122 In base 9, what is -2 - -188? 186 In base 12, what is 1 - 102a? -1029 In base 3, what is -2010 - -121? -1112 In base 3, what is -211111110 - -2? -211111101 In base 12, what is -2 + 96? 94 In base 10, what is 1 + -136? -135 In base 3, what is -1100112 - -211? -1022201 In base 16, what is -3 + -1f? -22 In base 16, what is 5 - 1c0? -1bb In base 10, what is 2 - 121? -119 In base 7, what is -62 - 6? -101 In base 6, what is 0 + -2040? -2040 In base 10, what is 4 - 7135? -7131 In base 6, what is -10 - 1? -11 In base 10, what is -2 + 132? 130 In base 11, what is 17 + 12? 29 In base 16, what is -a - -2? -8 In base 14, what is 7 + -38? -31 In base 9, what is 6 - -254? 261 In base 2, what is -1010111001 - 100? -1010111101 In base 12, what is 12 + -42? -30 In base 4, what is -3313 - -2? -3311 In base 4, what is -1101 + -1? -1102 In base 4, what is 11212 + 223? 12101 In base 5, what is -231003 + 3? -231000 In base 10, what is -1570 + 3? -1567 In base 16, what is 3 + 678? 67b In base 3, what is 2 + -112221? -112212 In base 13, what is -67 - 5? -6c In base 5, what is 3011 - 1? 3010 In base 9, what is 1 - -7213? 7214 In base 9, what is -232 + 7? -224 In base 11, what is 0 - -782? 782 In base 14, what is 34 + 6? 3a In base 11, what is 5 - 25? -20 In base 3, what is -1201 - -101? -1100 In base 13, what is 1b3 + -12? 1a1 In base 15, what is -402 + 0? -402 In base 15, what is 11 - 7d? -6c In base 4, what is 23 - 11? 12 In base 5, what is -141 + 3114? 2423 In base 16, what is -b72 + 2? -b70 In base 5, what is 2 + -13? -11 In base 14, what is 6 - 17? -11 In base 16, what is 4 - 528? -524 In base 13, what is -9 + -4a? -56 In base 3, what is 1112002 - 0? 1112002 In base 14, what is -6d + 7? -66 In base 16, what is 3 - 116? -113 In base 8, what is 2 + -253? -251 In base 3, what is -1021220021 - -12? -1021220002 In base 15, what is 0 + -e78? -e78 In base 4, what is -10 + 210? 200 In base 3, what is 1010 + 111? 1121 In base 15, what is 4 + -3? 1 In base 6, what is 5 + 1535? 1544 In base 8, what is -146 + -4? -152 In base 7, what is 1 - -355? 356 In base 7, what is 5 + 20506? 20514 In base 13, what is 5 - 1357? -1352 In base 4, what is 11 + -3011? -3000 In base 7, what is -2353 - 5? -2361 In base 4, what is -222020 + -3? -222023 In base 15, what is 19d5 - 0? 19d5 In base 10, what is 0 - 1853? -1853 In base 7, what is 16 - 3? 13 In base 2, what is -11100010111 - 100? -11100011011 In base 16, what is -1 - -13? 12 In base 8, what is 1 - 201? -200 In base 6, what is 1 + -1332? -1331 In base 3, what is 1020 - 120? 200 In base 3, what is 11201 + -210? 10221 In base 16, what is -1 - 4? -5 In base 6, what is 101 - -450? 551 In base 5, what is -2424 - -2? -2422 In base 4, what is -11 + -22123? -22200 In base 7, what is 5 - -426? 434 In base 3, what is -110121 - -1? -110120 In base 14, what is 1d - -15? 34 In base 14, what is 3 + -367? -364 In base 14, what is -d - -6d9? 6ca In base 7, what is -202 - 154? -356 In base 10, what is 23 - 8? 15 In base 16, what is 19 - -17? 30 In base 15, what is -2 - -177? 175 In base 13, what is -1055 + 3? -1052 In base 11, what is 13 + -192? -17a In base 15, what is 15d + -66? e7 In base 10, what is 3 - -43? 46 In base 14, what is -61 + -2? -63 In base 2, what is -1100111011 - 0? -1100111011 In base 10, what is 17 + 0? 17 In base 12, what is 3 + -188? -185 In base 6, what is 4 - 130? -122 In base 4, what is -131 - -12? -113 In base 5, what is -4 + -224421? -224430 In base 11, what is -64 + -68? -121 In base 16, what is 1 + -e6? -e5 In base 13, what is 2 + 34? 36 In base 10, what is 42 - 5? 37 In base 16, what is 2 - -6? 8 In base 10, what is 1 - 242? -241 In base 10, what is -3 + -1280? -1283 In base 12, what is 23 - -3? 26 In base 2, what is 11000111101011 + 0? 11000111101011 In base 2, what is -100101110 + 10? -100101100 In base 4, what is 0 - 11313? -11313 In base 4, what is 0 - -1? 1 In base 16, what is c4ee + 5? c4f3 In base 14, what is -76 - -4? -72 In base 14, what is 56 + 4b? a3 In base 7, what is -16 - 1051? -1100 In base 15, what is -e5 - 1? -e6 In base 14, what is 6 + b6? bc In base 15, what is c - -5? 12 In base 4, what is 20222321 + 11? 20222332 In base 8, what is -3 - -2325? 2322 In base 11, what is -3 - 21? -24 In base 3, what is 12 - -1121202? 1121221 In base 14, what is -3 - -4cd? 4ca In base 4, what is -10100310 + 0? -10100310 In base 9, what is 35 - 3? 32 In base 5, what is -1423 - 3? -1431 In base 14, what is -15b1 + 2? -15ad In base 8, what is 4 - 323? -317 In base 6, what is -304 + 3? -301 In base 7, what is -104 + -5? -112 In base 4, what is 3 + -1000? -331 In base 11, what is -305 + 9? -2a7 In base 3, what is 10 + 121101? 121111 In base 8, what is 266 + -1? 265 In base 16, what is -43 + 2b? -18 In base 4, what is 1 - -20033? 20100 In base 6, what is 1 + -13? -12 In base 9, what is -38 + -65? -114 In base 14, what is -68 + -1? -69 In base 5, what is -30 - 1320? -1400 In base 10, what is 7 + 951? 958 In base 11, what is 4 + -179? -175 In base 8, what is 45 - 755? -710 In base 15, what is 6ed - 3? 6ea In base 16, what is 6f - -4? 73 In base 4, what is -3331 - 2? -3333 In base 15, what is -4 - 19? -1d In base 8, what is 1025 - 21? 1004 In base 6, what is 3 + -41? -34 In base 12, what is -15 - -1b? 6 In base 2, what is 1100 + -11010? -1110 In base 9, what is -5 + 80? 74 In base 3, what is -2120 - 21020? -100210 In base 5, what is 1 + -1120? -1114 In base 13, what is 26 - 45? -1c In base 5, what is 22343 + 0? 22343 In base 16, what is -9e7 - 0? -9e7 In base 11, what is -6 + -a59? -a64 In base 12, what is 16 + -478? -462 In base 4, what is -111221 - -32? -111123 In base 7, what is -1323 + -2? -1325 In base 6, what is 1 - 1040? -1035 In base 11, what is -4 - 2943? -2947 In base 6, what is -4413 + 4? -4405 In base 5, what is -1 + -2111? -2112 In base 11, what is -7 + -145? -151 In base 4, what is -20 + 30? 10 In base 15, what is 6 - 85? -7e In base 10, what is 6 - -47? 53 In base 16, what is 0 + -6a? -6a In base 15, what is 120 - 5? 11a In base 8, what is -4 + 633? 627 In base 15, what is -5 - 329? -32e In base 3, what is 10 + -11010021? -11010011 In base 7, what is -12140 - 0? -12140 In base 7, what is 0 - 44? -44 In base 11, what is 284 - 0? 284 In base 10, what is -12 - 58? -70 In base 14, what is -1 + 21b? 21a In base 4, what is 10 - -2311? 2321 In base 7, what is -6543 - 5? -6551 In base 14, what is 5 + 2d? 34 In base 5, what is -22 - -413? 341 In base 15, what is -4 - -4de? 4da In base 8, what is -2247 + -3? -2252 In base 6, what is -5 - 2233? -2242 In base 2, what is -1011 - 1000110? -1010001 In base 10, what is -14 + 547? 533 In base 8, what is 76 - 23? 53 In base 9, what is 40 - -2? 42 In base 4, what is 12 + 311? 323 In base 3, what is 10 - -2120? 2200 In base 5, what is -2314234 + -2? -2314241 In base 9, what is -648 + 3? -645 In base 2, what is 101 - -1100000011? 1100001000 In base 11, what is -69 + 6a? 1 In base 7, what is 422 - 1? 421 In base 14, what is -9 + -472? -47b In base 9, what is 1 - -4? 5 In base 12, what is 1 + 201? 202 In base 7, what is -11 + -5? -16 In base 2, what is 100101110000 + 0? 100101110000 In base 10, what is -1953 - -1? -1952 In base 12, what is -15 - 2? -17 In base 11, what is 95 + 31? 116 In base 9, what is -3033 + 1? -3032 In base 5, w
{ "pile_set_name": "DM Mathematics" }
). Suppose -24*c + s = -21*c. Does 4 divide c? True Let k(m) = -1006*m - 510. Let i be k(-6). Let x = i + -3877. Is x a multiple of 17? True Let s(l) = -9*l + 620. Is s(0) a multiple of 11? False Suppose -205*f + 195*f = -180640. Is 32 a factor of f? False Let b(j) = 889*j + 9870. Is b(-10) a multiple of 2? True Suppose 23*z - 28*z = 37*z - 731640. Is 13 a factor of z? True Suppose -5 = -2*d + 9. Let b(u) = 11 - d + 18*u - 17 + u. Is 7 a factor of b(3)? False Let x be (-38 + 5)/(-3) + -6. Suppose x*d - 9600 = -7*d. Is 32 a factor of d? True Let p = -2227 - -1196. Let d = -626 - p. Is 14 a factor of d? False Let u = -43 + 45. Suppose s - 924 = -2*s + 4*q, u*s + 4*q = 636. Is 52 a factor of s? True Let f = 1239 - 574. Let m = f - 574. Is 7 a factor of m? True Suppose 6*p - 52 = -7*p. Suppose p*o - 1422 = -t, 4*t + 14 = 6. Does 29 divide o? False Let v = -8325 + 17192. Does 8 divide v? False Let r(n) = -n**3 - 4*n**2 - 5*n - 4. Suppose -b = -10 + 13. Let s be r(b). Suppose 5*f - f - s*y = 44, -4*y = 16. Is 2 a factor of f? False Suppose -9*j + 5*j = -3*m + 63, j + 30 = -4*m. Is 53 a factor of (-2866)/(-6) - (-7 - 138/j)? True Suppose -2*t + 74 = 4*y - 60, 3*t = 3*y - 105. Suppose 29*w + 195 = y*w. Suppose 4*l = p - 4*p + 115, -p - 2*l + w = 0. Is p a multiple of 14? False Let n(t) = 426*t**2 - 5*t + 20. Is 79 a factor of n(6)? True Let d = -7026 + 11395. Is d a multiple of 11? False Let f(b) = b**3 + 86*b**2 + 55*b - 64. Does 243 divide f(-83)? True Let s(d) = 7*d**3 + 5*d**2 - 4*d - 2. Let k = -32 - -34. Let c be s(k). Suppose -4*j = -5*a - j + c, a - 5*j = 0. Does 5 divide a? True Suppose -2*c = -2*r - 1068 - 1410, 2*c = -5*r + 2485. Is c a multiple of 8? True Let a(k) = -19*k**2 - 28*k + 6. Let s(t) = -20*t**2 - 33*t + 7. Let c(x) = -4*a(x) + 3*s(x). Is c(5) a multiple of 14? True Suppose 23*l - 21*l - 78 = 0. Is l a multiple of 5? False Let g(t) = -78*t - 3. Let u(s) = -38*s - 2. Let v(l) = 6*g(l) - 10*u(l). Does 14 divide v(-3)? True Let p be (-48)/(-40)*25/2. Let y(v) = 19*v - 15. Does 15 divide y(p)? True Let q = -92 - -289. Let g = q + -65. Is g a multiple of 3? True Let y be (-1)/(-2*(-5)/(-6470)). Suppose y + 124 = 3*f. Is 13 a factor of f? False Let i = -107 - -297. Let r = -135 + i. Let f = 21 + r. Is f a multiple of 41? False Suppose 9*r + 11*r = 220. Suppose 0 = -4*b + r*b - 4144. Is 38 a factor of b? False Suppose -11*f = -1254 + 418. Suppose 2*j = -50 + 16. Let o = j + f. Is o a multiple of 14? False Suppose 21537 = -43*d + 94765 + 7096. Does 2 divide d? True Suppose -4*s = -5*i - 20, 6*s = i + 2*s + 4. Let c(t) be the first derivative of -t**4/4 + 4*t**3/3 + 5*t**2/2 + 18*t - 11. Is c(i) a multiple of 18? True Suppose 5*s - c - 461 - 3531 = 0, -5*s + 4007 = 4*c. Does 163 divide s? False Let d(o) = o**2 + o. Let t(r) = 13*r**2 + 8*r + 2. Suppose 0 = -b - 2*b + 3. Let z(m) = b*t(m) - 6*d(m). Does 12 divide z(2)? False Suppose -430 = -3*b + 2*z, -5*z - 139 = -b - 0*z. Let a = 1954 + -1946. Suppose b = a*y - 0*y. Is 13 a factor of y? False Let j(n) = n**3 - 2*n**2 + 2*n + 10. Suppose -7*u = -8*u + 12. Let c(h) = -h**2 + 14*h - 24. Let a be c(u). Is j(a) a multiple of 10? True Let u = 193 - 371. Suppose 4*l + 335 = p, -p + 2*l - 86 + 419 = 0. Let v = p + u. Is v a multiple of 31? False Let h = 172 + -131. Suppose -h*l + 53*l = 1608. Is 67 a factor of l? True Suppose 12*m - 12451 = 2*m + 569. Does 5 divide m? False Suppose m - 2*u - u + 15 = 0, 5*m + 4*u - 20 = 0. Suppose -d + q + 812 = m, -7*d + 4*d - q + 2452 = 0. Is 19 a factor of d? False Let a be (9/(-4))/(22/88). Suppose 8 - 22 = -2*k. Does 7 divide (36/a)/((-2)/k)? True Is -38 + 35 + (-1967)/(-1) + -1 a multiple of 7? False Let l(s) = 8*s**2 + 4*s. Let x = 5 + -3. Suppose 5*p = -x*q - 26, 3*q + 0 = p - 5. Is l(p) a multiple of 28? True Suppose 0*t = h + 2*t + 14, -4*h + t = 11. Let p be 10301/4 - (h - (-78)/24). Is 12 a factor of p/(-42)*6/(-4)? False Let k be -10*(1*-2 - 42/(-35)). Let l be (1 + 0)*k/(-2). Is 10 a factor of (-637)/(-21) + (4/3)/l? True Let m(q) = -q**2 - 16*q - 23. Let s = -31 - -17. Let v be m(s). Suppose 5*c - 15 = d - 77, -v*d = 2*c - 391. Does 9 divide d? False Let g = -150 - -156. Suppose -5*a = -3*z - 626, -4*a = -g*a + 4*z + 256. Is 31 a factor of a? True Let p(c) = -2*c**3 - 54*c**2 - 71*c - 551. Is p(-28) a multiple of 83? False Let d(x) be the third derivative of x**5/30 + x**4/24 - 5*x**2. Let f be d(0). Suppose -j + 17 = n, f = -2*n + 4*n - j - 37. Is 3 a factor of n? True Is 126 a factor of (-2 - -17585)*14/(-504)*-12? False Suppose -1260 = -2*d - 10*d. Suppose -d*j + 93*j = -1764. Is j a multiple of 3? True Let n be (1*870/20)/(1/(-2)). Let p = 97 + n. Does 10 divide p? True Suppose -3*i + 11987 = 4*d - 4580, 0 = 4*i + 12. Does 37 divide d? True Let k(x) = -77*x + 1401. Does 27 divide k(-49)? False Suppose n - 3295 = -3*n - 3*p, 0 = -2*n - 5*p + 1665. Suppose -7*w + 2*w = -5*r + 1375, -4*w = -3*r + n. Is 14 a factor of r? True Let w = 74398 - 50624. Does 68 divide w? False Let o = -45 + 50. Suppose 20 = 4*y, -13 = -3*t - o*y + 9. Is 6 a factor of -18*(-3 + 4)*t? True Let m(l) be the third derivative of 0*l + 14*l**2 + 0 - 13/2*l**3 + 5/12*l**4. Does 11 divide m(6)? False Let o = 3106 + -3040. Is 11 a factor of o? True Let o(f) = f**2 - 23*f - 18. Let r be o(24). Suppose 352 = r*s + 64. Is 8 a factor of s? True Let g = 103 - 104. Let y be 596/10*g/(2/(-5)). Suppose 3*u + 319 = 4*m, -2*u = 3*m - 103 - y. Is 22 a factor of m? False Is 17 a factor of (-250)/30*1530/(-50)? True Let f(j) = -j**3 + 11*j**2 + 4. Suppose -4*a + 6 = 2*s + 4, -5 = 2*a - 5*s. Suppose -4*g = -a*g - 40. Does 11 divide f(g)? False Let m(v) = 5*v**2 - 32*v + 9. Let d(s) = -14*s**2 + 96*s - 31. Let k(p) = 4*d(p) + 11*m(p). Is 15 a factor of k(7)? True Suppose 1342 = 360*h - 349*h. Suppose h*j = 127*j - 980. Does 28 divide j? True Let z(x) = -9*x**2 + 55*x - 27. Let b(q) = 5*q**2 - 28*q + 14. Let p(g) = 11*b(g) + 6*z(g). Let n = -286 + 262. Is 11 a factor of p(n)? False Let v(w) = 54*w + 45. Let r = 733 + -731. Is 51 a factor of v(r)? True Let k be (66 - (-3 + 2)) + -14 + 17. Suppose k*l = 52*l + 15138. Does 12 divide l? False Let v = -916 + 2213. Is v a multiple of 17? False Suppose -410*o + 621271 = -1100729. Is 70 a factor of o? True Suppose -5*m = -2*m - 15*m. Suppose m = -11*z + 9*z + 6. Suppose 98 = 2*l + z*y, -3*y - 182 = -4*l - 2*y. Is l a multiple of 16? False Let x be (-8 + 6)/(4/5454). Is 10 a factor of (x/15)/(39/(-260))? False Suppose -3*g + 2 + 1 = 0. Let j = 40 + g. Does 13 divide j - 3 - (4 + -3)? False Let l = 417 - 318. Suppose q - l = -10. Is q a multiple of 19? False Let w(a) = 27*a**2 - 9*a + 18. Let t(d) = 22*d + 244. Let l be t(-11). Does 18 divide w(l)? True Let b = -551 - -556. Suppose 680 = d - g, -367 = d + b*g - 1035. Is d a multiple of 48? False Suppose -3*r - 4*i - 1420 = 15571, -2*i - 16987 = 3*r. Does 37 divide ((r/18)/(-17))/(1/12)? True Let r = -4710 + 4821. Does 10 divide r? False Is (14 + 640/(-48))/((-1 - -2)/3408) a multiple of 51? False Let g = 6023 + -4886. Does 4 divide g? False Suppose 29 = 3*q - 415. Suppose -2*k - q = -4*k + p, -370 = -5*k + 2*p. Is k a multiple of 2? True Suppose 0 = 2*h - 2*k - 14435 + 3077, 5*h - k - 28391 = 0. Does 10 divide h? False Let o(c) = -11*c - 22. Does 9 divide o(-20)? True Does 4 divide -2*(-174)/10*7130/(-276)*-8? True Suppose -35*x - 158436 = -62*x. Is x a multiple of 4? True Let m = -68 - -132. Let k(s) = -s**2 + 19*s + 4. Let i be k(19). Suppose i*v = m + 20. Is v a multiple of 6? False Let d = -5899 - -34699. Is 20 a factor of d? True Let d(o) = -325*o + 1040. Does 20 divide d(-4)? True Suppose -2*z = g - 4774, 5*g = -167*z + 164*z + 23912. Does 54 divide g? False Let k be 10/75*-5 + 52/6. Let g(l) = 2*l**2 - 8*l + 2. Does 11 divide g(k)? True Suppose -4*t + 3*b = -651, -17 + 2 = 3*b. Suppose -j - 3*m = -34 - 14, m - t = -4*j. Let f = 22 + j. Is 5 a factor of f? False Suppose -6*x + 45 = 9. Is 4 a factor of (-6692)/(-112) + (1 - x/8)? True Let m(p) = 4*p + 3*p + p**2 + 828 - 822. Let o be m(-5). Let i(j) = 7*j**2 - 3*j - 5. Does 17 divide i(o)? True Let c(h) = 3*h**3 + 16*h**2 + 3*h - 15. Let g(y) = -y**3 - y**2 - 1. Let b(v) = -c(v) - 2*g(v). Let a be (-125)/9 + ((-140)/45 - -3). Does 18 divide b(
{ "pile_set_name": "DM Mathematics" }
2 Let m(j) = 587*j**3 + 1174*j. Let l(p) = -2*p. What is 587*l(s) + m(s)? 587*s**3 Let h(y) = 6*y**3 - 5*y**2 - 5*y. Let m(a) = 15*a**3 - 12*a**2 - 12*a. Let l be (-3)/2*(-20)/6. Let f be 7/(105/(-10))*3*6. Determine f*h(b) + l*m(b). 3*b**3 Suppose -5*z - 6*z + 330 = 0. Let x(p) = -z*p + 2*p**3 - 5 + 37*p + 0*p**3. Let c(v) = -v + 1. Calculate -3*c(h) - x(h). -2*h**3 - 4*h + 2 Let p(z) = -3*z**3 - 7*z**2 + 5*z - 7. Suppose 2*u = u - 4. Let n(q) = -3*q**3 - 6*q**2 + 4*q - 6. Let y be (-5 + 0)/(3 - (2 + 2)). Calculate u*p(m) + y*n(m). -3*m**3 - 2*m**2 - 2 Let x(t) = t**2 + 7*t - 5. Let c(y) = -y**2 - 3*y + 1. Calculate 4*c(n) + 2*x(n). -2*n**2 + 2*n - 6 Let h(s) = 800*s**3 - 64*s**2 + 64*s. Let v(o) = o**3 - o**2 + o. Calculate -h(q) + 64*v(q). -736*q**3 Let n(v) = -7*v - 2. Let p(d) = -8*d - 3. Suppose 0 = -26*s + 150 - 20. Give s*p(r) - 6*n(r). 2*r - 3 Let p(c) = c**3 - 6*c**2. Let z = -1033 + 1039. Let g(s) = -14*s**3 + 91*s**2. Calculate z*g(j) + 91*p(j). 7*j**3 Let a(c) = 393*c**2 - 6*c - 6. Let i(j) = -391*j**2 + 5*j + 5. Calculate -5*a(h) - 6*i(h). 381*h**2 Let y(h) = 2*h - 2. Let w(t) = -6*t + 6. Suppose 2*v - 5*z - 7 = 0, 3*v + 0*z - 2*z - 38 = 0. Give v*y(s) + 5*w(s). 2*s - 2 Let m(y) = y**2 + 21*y - 17. Let n be m(-22). Let i(v) = 3*v**3 - 5*v - 2. Let t = -9 - -8. Let o(g) = g**3 - g - 1. What is n*o(d) + t*i(d)? 2*d**3 - 3 Let v(b) = 2*b**3 - 3*b**2 - 2. Let d(x) = x**2 + 6*x + 6. Let w(h) = h**2 + 5*h + 5. Let q(z) = -4*d(z) + 5*w(z). Give -2*q(t) - v(t). -2*t**3 + t**2 - 2*t Let u(i) = 8*i**2 + 11*i + 354. Let n(z) = 3*z**2 + 4*z + 118. What is 11*n(j) - 4*u(j)? j**2 - 118 Let r(z) = z. Let t(q) = -122*q - 3. Determine -3*r(n) + t(n). -125*n - 3 Let h(f) = -f**2. Let c = -37 - -39. Let p(j) = -2*j**c + 2*j + 4 - 2 + 0*j. What is -4*h(r) + p(r)? 2*r**2 + 2*r + 2 Let d(j) = -28*j**3 + 8*j**2 + 6*j - 1. Let a(t) = -2*t**2 - t. What is -4*a(x) - d(x)? 28*x**3 - 2*x + 1 Let a(s) = s + 1. Suppose -y - 4 = -3*d, d - 9 = -3*y + 3*d. Suppose 2 = -p + y. Let m(v) = -p + 3*v + 3 + 2. Calculate 2*a(t) - m(t). -t Let u(i) = i**3 - 25*i**2 + 29*i - 12. Let f be u(24). Let p be ((-4)/6)/(6*2/f). Let r(w) = -w**2 + 2*w - 7. Let g(n) = 2*n - 6. Calculate p*r(h) + 7*g(h). 6*h**2 + 2*h Let m(h) = -11*h**3 - 7*h**2 - 6*h + 4. Let o(s) = 31*s**3 + 20*s**2 + 18*s - 11. Calculate -17*m(w) - 6*o(w). w**3 - w**2 - 6*w - 2 Let v(n) be the second derivative of -n**4/12 + 5*n**3/6 + 5*n**2/2 + 18*n. Let s be 2*((-5)/2)/(-5). Let p(k) = -k**2 + k + 1. What is s*v(y) - 5*p(y)? 4*y**2 Let m(x) = 2*x**2 - 51*x - 5. Let v(n) = n**2 - 13*n - 1. Give 2*m(h) - 9*v(h). -5*h**2 + 15*h - 1 Let h(u) = 905*u**3 - 3*u**2 + 12*u + 5. Let f(c) = 4524*c**3 - 14*c**2 + 56*c + 24. Determine 3*f(a) - 14*h(a). 902*a**3 + 2 Suppose y + 3 = 3*c, -9*c + 3*y = -4*c - 1. Suppose -c*t + 8 + 0 = 0. Let f(u) = -t*u + 2*u**3 + 1 + 5 - 6. Let s(g) = -g**3 + g. Give f(j) + 4*s(j). -2*j**3 Let v(t) = 9*t - 13. Let o(a) be the first derivative of 5*a**2/2 - 7*a - 130. Determine -11*o(z) + 6*v(z). -z - 1 Let k(z) = z**3 + 3*z**2 + 3*z - 2. Suppose -187*g = -199*g + 36. Let j(o) = o**3 + o - 1. Give g*j(s) - k(s). 2*s**3 - 3*s**2 - 1 Let j(t) = t**3 - 5*t**2 - 13*t - 9. Let z be j(7). Let o(f) = -4*f**3 + 3*f. Let x(k) be the first derivative of k**4/4 - k**2/2 + 5. Give z*o(q) - 6*x(q). 2*q**3 Let u(g) = g**2 + g. Let z be (-4 - -1) + (2 - -3). Let j(y) = -16*y**2 - 11*y. What is z*j(a) + 22*u(a)? -10*a**2 Let t(p) = 2 - 4 - 13*p - 5. Let r = 6 - 6. Suppose 20 = 5*b - r, -2*u - 6 = 2*b. Let i(c) = 7*c + 4. Determine u*i(y) - 4*t(y). 3*y Suppose -3*w + 10*f = 7*f - 63, 3*f = 0. Suppose -5*u - 16 = -w. Let d(v) = 9*v**2 - 5*v. Let q = 9 + -3. Let g(z) = -z**2 + z. Give q*g(x) + u*d(x). 3*x**2 + x Let b(w) = -13*w**2 - 3*w + 19. Let r(j) = 27*j**2 + 7*j - 38. Let x(i) = -7*b(i) - 3*r(i). Let t(d) = 7*d**2 - 13. What is 7*t(o) - 5*x(o)? -o**2 + 4 Let w(y) = -21*y**3 - 17*y**2 + 17*y - 17. Let b(v) = -1121 - 6*v**2 + 1115 + 11*v - 5*v - 7*v**3. Determine 17*b(g) - 6*w(g). 7*g**3 Let t(h) = -2*h**2 + 2*h. Let c be (-4)/(-3 - (-65)/23). Suppose -4*o - 1 = c. Let d(a) = a**3 - 17*a**2 + 17*a. Give o*d(f) + 51*t(f). -6*f**3 Let g(h) = h**3 - 2*h. Let t(m) = 616*m**3 - 924*m. Give 924*g(d) - 2*t(d). -308*d**3 Let n(v) = 249. Let m(d) = 115. Let r(p) = 13*m(p) - 6*n(p). Let c(g) = -6*g**2 - 2*g + 8. Determine -c(l) + 8*r(l). 6*l**2 + 2*l Let p(z) = -11*z**3 - 2*z**2 + 2. Let f(m) be the third derivative of 6*m**6/5 + 9*m**5/20 - 9*m**3/2 - 5*m**2 + 2. Give -2*f(s) - 27*p(s). 9*s**3 Let n(i) = 74*i + 7. Let x(b) = -112*b - 10. What is 7*n(c) + 5*x(c)? -42*c - 1 Let c(g) = 231*g + 22. Let d(f) = 231*f + 19. Calculate -6*c(v) + 7*d(v). 231*v + 1 Let s(z) = z + 2. Let j = 37 + -5. Suppose 0 = -0*m - 4*m - j. Let y(h) be the first derivative of 3*h**2/2 + 5*h - 2. Calculate m*s(o) + 3*y(o). o - 1 Let y(x) = -x**2 + 23*x - 38. Let q be y(21). Suppose a + 3 = -2*a, 4 = -4*j + q*a. Let p(g) = -3*g**2 - 2. Let v(m) = -m**2 - m. Determine j*v(z) + p(z). -z**2 + 2*z - 2 Let k be 1 - (132/11)/(-12). Let z(s) = 4*s. Let o(j) = 5*j - 1. Calculate k*o(r) - 3*z(r). -2*r - 2 Let n(i) = -27*i**2 - 255*i + 12. Let m(v) = -11*v**2 - 102*v + 5. Determine -12*m(d) + 5*n(d). -3*d**2 - 51*d Let b(z) = -1. Let w(q) = -27*q - 1. Let g(n) = -14*n - 1. Let t(h) = -11*g(h) + 6*w(h). Give -5*b(j) - t(j). 8*j Let k be 5/(-4) + (-2)/(-8). Suppose -1573*y = -1566*y - 14. Let v(c) = -1. Let f(x) = -x - 2. What is k*f(u) + y*v(u)? u Let p(l) = 13*l - 3. Let q(y) be the third derivative of -3*y**4/8 + y**3/3 + 299*y**2. Give 5*p(w) + 7*q(w). 2*w - 1 Let w(x) = -5*x**3 - x**2 + 6*x + 2. Let u(c) = -14*c**3 - 2*c**2 + 18*c + 5. Give 4*u(t) - 11*w(t). -t**3 + 3*t**2 + 6*t - 2 Let z(l) = 966*l**3 + 10*l + 5. Let f(v) = -8211*v**3 - 84*v - 42. Determine -5*f(t) - 42*z(t). 483*t**3 Let t(f) = f. Let k(y) = -y**2 - y. Let n be 1*(19 + -7 - 9). Determine n*k(l) + t(l). -3*l**2 - 2*l Let s(a) = -28*a**3 + 22*a - 4. Let r(c) = -29*c**3 + 26*c - 4. Calculate -5*r(q) + 6*s(q). -23*q**3 + 2*q - 4 Let w(v) = -1. Let d = 25 + -16. Let j(m) = -10*m**2 + 20*m**2 - d - 7*m**2. Determine -j(n) + 9*w(n). -3*n**2 Let j(p) = -19*p - 1. Let o(z) = -19*z - 1. Determine 3*j(c) - 4*o(c). 19*c + 1 Let l(i) = -i + 1. Let y(z) = -5 - 1 + 2. Suppose 29*h - 3*h = 26. Give h*y(j) + 2*l(j). -2*j - 2 Let d = 141 - 138. Let p(w) = 5*w - 2. Let c(r) = -9*r + 5. Calculate d*c(l) + 5*p(l). -2*l + 5 Let w(k) = -k**2 - 4*k. Let i(x) = 2*x + 19. Let o be i(-12). Let z = -6 - -11. Let s(j) = -z*j - j**2 - 2 + 2. Give o*w(b) + 4*s(b). b**2 Let a(o) = -7*o**3 + 5*o**2 + 5*o - 15. Suppose 0 = -255*m + 250*m + 25. Let t(d) = 4*d**3 - 3*d**2 - 3*d + 8. What is m*t(q) + 3*a(q)? -q**3 - 5 Let g(h) = -10*h + 23. Let w(n) = -9*n + 28. Let a(u) = -6*g(u) + 5*w(u). Let b(d) = 7*d + 1. Calculate -3*a(x) + 7*b(x). 4*x + 1 Let l(u) = -u + 3. Let o(q) = -11*q + 36*q - 6*q - 9*q - 6*q - 14. Determine 11*l(a) + 2*o(a). -3*a + 5 Let y(o) = 9*o - 2. Let s(b) = 4*b - 1. Let j(w) = -5*s(w) + 3*y(w). Let t(x) = -13*x + 2. What is 5*j(v) + 3*t(v)? -4*v + 1 Let r(v) = 72*v + 7. Let m(z) = 1. Determine 2*m(i) - r(i). -72*i - 5 Let z(u) = u - 1. Let r(g) = -6. Let h be ((-1)/(-2))/((-3)/(-6) - 1). Give h*z(a) + r(a). -a - 5 Let p(h) = 16*h**2 - 6*h - 2. Let j(c) = 1. Calculate -3*j(t) - p(t). -16*t**2 + 6*t - 1 Let l(g) = 2*g - 24. Let i be l(13). Let f(j) = -i - 4*j**2 - 3 + 0*j**2 + 2*j**3 + j + 0. Let c(o) = o**2 + 1. What is -4*c(a) - f(a)? -2*a**3 - a + 1 Let k(c) = -33*c**2 + 2*c - 16. Let n(p) = -173*p**2 + 11*p - 81. Give 11*k(d) - 2*n(d). -17*d**2 - 14 Let b be (210/(-28))/(-3)*12/5. Let h(z) be the second derivative of -z**3/3 + 3*z**2/2 - 2*z. Let c = -4 - -6. Let k(w) = w - 1. What is b*k(n) + c*h(n)? 2*n Let f(x) = 20*x**2 - 15*x - 15. Suppose 5*d = 9*d - 16. Let l(h) = 5*h**2 - 4*h - 4. Calculate d*f(k) - 15*l(k). 5*k**2 Let f(k) = 4*k + 11. Let c(w) = -5*w - 5. Let b(q) = 2*q + 2. Let m(x) = 2*b(x) + c(x). What is f(p) + 6*m(p)? -2*p + 5 Let h(a) = a + 10. Let i = -445 + 439. Let m(z) = 9. What is i*m(g) + 5*h(g)? 5*g - 4 Let b(w) = w**3 - 3*w**2 - 1. Let u(h) = 5*h**3 - 9*h**2 - 3*h + 5. Let r(o) = 4*o**3 - 7*o**2 - 2*o + 3. Let m(g) = 3*r(g) - 2*u(g). Give -3*b(k) + 2*m(k). k**3 + 3*
{ "pile_set_name": "DM Mathematics" }
7392482. 22177446 What is the least common multiple of 2551014 and 18707436? 56122308 Find the common denominator of 27/65872 and -21/157368208. 157368208 What is the smallest common multiple of 288682706 and 16? 2309461648 What is the common denominator of -125/882 and -39/431690? 3885210 Find the common denominator of 65/3360219 and 19/3. 3360219 What is the common denominator of 95/442756 and -27/388297012? 388297012 What is the common denominator of -41/6455540 and 73/21? 19366620 Find the common denominator of 109/3904560 and 33/92. 89804880 Calculate the common denominator of 3/2859200 and -53/464620. 37169600 Calculate the lowest common multiple of 53125170 and 1840. 425001360 What is the common denominator of -47/246 and 107/51425712? 2108454192 What is the lowest common multiple of 659466 and 684? 25059708 Calculate the common denominator of 51/8803130 and -21/93850. 44015650 Calculate the common denominator of -31/256 and -91/116202. 14873856 What is the least common multiple of 1341480 and 181860? 580860840 Calculate the smallest common multiple of 291139 and 19184. 51240464 What is the common denominator of 57/1585338196 and 33/10? 7926690980 Find the common denominator of -88/14595 and 52/137151. 95319945 Find the common denominator of 6/7477 and -51/12424. 92894248 What is the least common multiple of 396 and 4287822? 25726932 What is the lowest common multiple of 318 and 5131356? 271961868 Calculate the smallest common multiple of 1551470 and 59784. 986734920 Calculate the common denominator of -31/95249178 and 29/72. 380996712 What is the least common multiple of 879342 and 3108? 12310788 Calculate the lowest common multiple of 54718 and 616722. 154797222 Calculate the least common multiple of 4929 and 12516. 20563788 Find the common denominator of 83/3903932 and -33/2984576. 874480768 What is the common denominator of 47/13 and -38/2525419? 2525419 Calculate the least common multiple of 22 and 111922118. 111922118 Find the common denominator of 149/3493758 and -37/372. 216612996 Find the common denominator of 14/967 and 24/695273. 695273 What is the smallest common multiple of 70720496 and 92064? 424322976 Find the common denominator of -1/1664 and 67/100069424. 800555392 What is the least common multiple of 133555530 and 33260? 267111060 What is the smallest common multiple of 2167236 and 5958? 717355116 Find the common denominator of 41/9961 and -19/5565. 7918995 Calculate the least common multiple of 161766 and 5065830. 96250770 What is the lowest common multiple of 105944 and 1550128? 29452432 Calculate the least common multiple of 61765212 and 535298504. 1605895512 What is the lowest common multiple of 511600 and 200? 511600 Find the common denominator of -43/34 and 47/2136679. 4273358 Find the common denominator of 137/49040160 and -87/563680. 49040160 Calculate the lowest common multiple of 3272886 and 392256. 104732352 Find the common denominator of 55/25727 and -53/1957231. 25444003 Calculate the lowest common multiple of 48260 and 43700. 5549900 Find the common denominator of -73/20445 and 3/193325. 790505925 What is the least common multiple of 382578 and 36? 2295468 Calculate the smallest common multiple of 411878 and 2929. 11944462 What is the common denominator of -31/8663424 and -27/40016768? 840352128 Calculate the common denominator of 12/318773 and -46/19097. 4144049 Calculate the smallest common multiple of 342672 and 4579344. 50372784 Calculate the common denominator of 169/198600 and -12/5. 198600 What is the lowest common multiple of 39 and 52393833? 681119829 What is the common denominator of 17/2730000 and 83/2730? 2730000 Calculate the smallest common multiple of 6 and 64432980. 64432980 Find the common denominator of -43/402 and 95/9378. 628326 What is the smallest common multiple of 134 and 64598787? 129197574 What is the common denominator of -27/554510 and 21/8006? 2219703530 Calculate the least common multiple of 211 and 4976435. 4976435 Calculate the smallest common multiple of 4733014 and 3640780. 47330140 Calculate the common denominator of 163/4872 and 53/20397672. 142783704 Find the common denominator of 55/104246 and 131/1128. 1250952 Calculate the smallest common multiple of 113850 and 408342. 30625650 What is the lowest common multiple of 45 and 1237360? 11136240 What is the common denominator of 61/16279384 and 55/20719216? 227911376 Calculate the least common multiple of 184 and 35116653. 280933224 Find the common denominator of 191/113490 and -127/41915640. 125746920 Calculate the smallest common multiple of 422770 and 125960. 79480760 Find the common denominator of 73/11012190 and 43/4. 22024380 Calculate the smallest common multiple of 4556898 and 10599741. 487588086 Calculate the lowest common multiple of 126 and 44360. 2794680 What is the smallest common multiple of 86854100 and 15? 260562300 Calculate the least common multiple of 435450 and 174180. 870900 What is the smallest common multiple of 174522 and 343911? 11692974 Calculate the least common multiple of 20080 and 3602352. 18011760 What is the lowest common multiple of 4356205 and 42? 26137230 Calculate the lowest common multiple of 353286 and 133. 2473002 Find the common denominator of -113/90 and -47/18008370. 18008370 Find the common denominator of 41/2284 and -29/59794. 68284748 Find the common denominator of -87/320 and 1/572036. 45762880 What is the smallest common multiple of 5241774 and 24872? 20967096 Calculate the lowest common multiple of 2547 and 1533294. 1533294 Calculate the least common multiple of 202 and 1007. 203414 What is the lowest common multiple of 981972 and 1254742? 22585356 Calculate the common denominator of 47/6 and -85/75983116. 227949348 Calculate the common denominator of -143/646068 and 35/342036. 5814612 What is the lowest common multiple of 1659 and 337725? 2364075 What is the smallest common multiple of 381 and 1722? 218694 Calculate the common denominator of -79/12473070 and 5/153. 37419210 Calculate the common denominator of -47/1462 and -179/784380. 33728340 Calculate the least common multiple of 2653914 and 186. 82271334 Calculate the common denominator of 9/20671462 and -25/3529274. 144700234 Calculate the least common multiple of 133 and 1622. 215726 Find the common denominator of -43/32856333 and 101/6. 65712666 Calculate the least common multiple of 4549617 and 27. 13648851 Find the common denominator of -31/657084 and 79/102. 657084 Calculate the common denominator of 37/56421 and -28/896467. 8068203 Calculate the lowest common multiple of 31893 and 283. 9025719 What is the common denominator of 27/27818912 and 51/8? 27818912 Calculate the lowest common multiple of 155400 and 45360. 8391600 Calculate the common denominator of 31/1030 and -69/53885. 11100310 What is the common denominator of 11/275140 and 73/20976? 1442834160 What is the common denominator of -1/1654590 and -107/112? 13236720 What is the smallest common multiple of 27356 and 3501568? 3501568 What is the smallest common multiple of 1200 and 94448? 7083600 Find the common denominator of -89/35229795 and -77/6. 70459590 What is the common denominator of 115/6764604 and -4/1353? 277348764 What is the common denominator of 113/5736276 and 2/27027? 189297108 What is the common denominator of 19/51323470 and -41/5650? 256617350 What is the lowest common multiple of 6525 and 125193? 9389475 Calculate the common denominator of -1/23161 and -149/386688. 8893824 Find the common denominator of 23/451150 and -59/7734. 1353450 What is the common denominator of 23/1522356 and -43/11? 1522356 What is the common denominator of 97/948872 and -99/3128? 21824056 What is the lowest common multiple of 1162553 and 418817? 3660879397 Find the common denominator of -71/9016 and 109/248234. 22837528 Find the common denominator of 40/31119 and 83/129186285. 1421049135 What is the lowest common multiple of 572016 and 38068? 5443876272 Find the common denominator of 41/243480 and -11/504. 5113080 Find the common denominator of 58/3 and -115/75329088. 75329088 What is the common denominator of 115/5784 and -37/5628? 2712696 Calculate the lowest common multiple of 2294556 and 24092838. 48185676 What is the smallest common multiple of 316107
{ "pile_set_name": "DM Mathematics" }
a**6 - a**6 wrt a. -480*a**3 Let a(p) = -5*p + 1. Let n(c) = 5*c. Let o(b) = 6*a(b) + 4*n(b). What is the first derivative of o(i) wrt i? -10 Suppose 0*q + 12 = 4*q. Find the second derivative of -4*v - v**3 - q*v**3 - 2*v**3 + 4*v**3 wrt v. -12*v Let o(j) = -j**2 - 8*j + 3. Let x be o(-8). What is the third derivative of -10*p**2 + 1 - 1 + 20*p**2 + x*p**5 wrt p? 180*p**2 Let o(y) be the third derivative of y**2 + 0*y**3 + 0 - 1/60*y**5 + 1/8*y**4 + 0*y. Find the second derivative of o(j) wrt j. -2 Let s(u) = -29*u**6 + 4*u**5 - 27*u**2 + 4*u. Let p(k) = 57*k**6 - 7*k**5 + 53*k**2 - 7*k. Let n(d) = 4*p(d) + 7*s(d). Find the third derivative of n(h) wrt h. 3000*h**3 Let z(v) = v - 11. Let p be z(13). Find the third derivative of 12*j**p - 10*j**6 + 8*j**2 + j**6 - 28*j**2 wrt j. -1080*j**3 Suppose 4*j + 2 = 10. What is the second derivative of 7*n - 11*n + n - 5*n**j wrt n? -10 Let y be (5/(-15))/((-3)/18). Find the second derivative of -m**y + m - 3*m**2 - 7*m wrt m. -8 Let g be -7*((-72)/21)/4. Suppose g = h + 2*h. Find the third derivative of 5*c**2 + 7*c**h + 2*c**4 - 13*c**2 wrt c. 48*c Suppose -6*w + w = 0. Let n be (-16)/(-8) - (0 + w). What is the second derivative of -2*c**2 + c + 3*c**n + 5 - 5 wrt c? 2 Let f(m) = -69*m**4 - 21*m**3 - 21*m**2 + 36. Let o(j) = -17*j**4 - 5*j**3 - 5*j**2 + 9. Let n(x) = 5*f(x) - 21*o(x). What is the derivative of n(p) wrt p? 48*p**3 Find the first derivative of -19*y**4 - y + y + 15*y**4 + 11 wrt y. -16*y**3 Let o(h) be the first derivative of 11*h**3/3 + 15*h**2/2 + 18. What is the second derivative of o(a) wrt a? 22 Let k(v) = -210*v - 44. Let z(i) = 52*i + 11. Let y(d) = 2*k(d) + 9*z(d). What is the derivative of y(l) wrt l? 48 Suppose -5*p = -20, 0 = 4*g + 3*p + p - 28. Find the first derivative of -a - 4*a + a - g + 12 wrt a. -4 Let u be 5*(2/(-5))/(-1). Differentiate -4 + 5 - 3*i**u + 2 wrt i. -6*i Suppose 0*w - 4*w + 12 = 0. What is the derivative of 3*b + b**4 - 2*b**4 - 3 - w*b wrt b? -4*b**3 Let m(n) = 2*n - 3. Let f be m(6). Let w = f - 3. Find the second derivative of -u + 3*u**4 + 5*u**4 - w*u**4 wrt u. 24*u**2 Suppose 8*d - 17 = 31. Let p(r) be the second derivative of 0*r**3 + 0*r**5 - 1/30*r**d + 1/6*r**4 + 0*r**2 + r + 0. What is the third derivative of p(u) wrt u? -24*u Let r(p) = 11*p**2 + 16*p - 4. Let a(n) = n**2 + n - 1. Let z(i) = 4*a(i) - r(i). Find the second derivative of z(b) wrt b. -14 Let y be -1 - -1 - (-2 - 3). Let d = -3 + y. Differentiate 1 + x**2 - 4*x**d + 1 wrt x. -6*x Let j be 4 - (3 - 1) - -1. Suppose 20 = j*f + f. What is the third derivative of 2*y**2 - 4*y**2 - 2*y**5 + 2*y**f + y**6 wrt y? 120*y**3 Let i(w) be the second derivative of 0*w**6 + 3*w + 0*w**2 + 0*w**5 + 0 - 1/3*w**4 - 1/21*w**7 + 0*w**3. Find the third derivative of i(l) wrt l. -120*l**2 Let m(i) = i + 8. Let v be m(-5). What is the derivative of -2 + v - 2*c**3 + 5*c**3 wrt c? 9*c**2 Let n(x) = -x**3 - 6*x**2 - 5*x + 6. Let o be n(-5). Let b = o + -4. What is the second derivative of 15*h**2 - 15*h**2 - b*h**4 - 3*h wrt h? -24*h**2 Let g(u) be the first derivative of -2*u**6/3 + 21*u**2/2 + 26. What is the second derivative of g(y) wrt y? -80*y**3 Let b = 3 + 1. What is the derivative of 11 + 13 + 4*c**4 - 32 + 2*c**b wrt c? 24*c**3 Let g(t) be the first derivative of -1 - 2*t + 0*t**2 - 2/3*t**3. Find the first derivative of g(v) wrt v. -4*v What is the first derivative of -10 + 220*w - 220*w + 7*w**4 wrt w? 28*w**3 What is the derivative of -21*h + 8 + 679*h**2 - 677*h**2 + 6 wrt h? 4*h - 21 Let j = -14 + 10. Let b = -1 - j. Find the first derivative of -1 - 2*y**b + 0 + 3 wrt y. -6*y**2 Let y(z) be the second derivative of 0 + 0*z**3 + 0*z**6 + 0*z**2 - 1/21*z**7 + 7/12*z**4 + 3*z + 0*z**5. What is the third derivative of y(l) wrt l? -120*l**2 What is the second derivative of -m**4 - 6*m - 2*m**5 + m**4 - 3*m**5 wrt m? -100*m**3 Suppose 2*t - 2 = 0, -6 = -4*a + 2*a + 4*t. Find the second derivative of -g + g**a + 3*g - 4*g wrt g. 20*g**3 Let r(m) be the second derivative of 0*m**4 - 1/15*m**6 + 3*m + 0*m**2 + 0*m**5 + 1/2*m**3 + 0. Find the second derivative of r(v) wrt v. -24*v**2 Let a(q) = -38*q**2 + 30. Let v(n) = n**2 - 2. Let y(u) = a(u) + 3*v(u). Differentiate y(l) with respect to l. -70*l Let o(z) = -119*z**3 + z. Let r(x) = 40*x**3. Let v(j) = -3*o(j) - 8*r(j). Find the second derivative of v(k) wrt k. 222*k Let p(m) = m**4. Let o(v) = 12*v**4 - 7*v**2. Let k(l) = o(l) + 3*p(l). Find the third derivative of k(s) wrt s. 360*s Find the second derivative of -4*g**3 - 4*g + 0 + 4 - 4 + g**2 wrt g. -24*g + 2 Let t(a) = a**2. Let m(f) = -19*f**3 + 5*f**2 + 32. Let d(v) = -m(v) + 5*t(v). Find the first derivative of d(i) wrt i. 57*i**2 What is the second derivative of 22*l - 240*l**3 + 265*l**3 + 47*l wrt l? 150*l Let r(i) = i**2 + 9*i + 8. Let b be r(-9). Let u be (b/(-6))/(2/(-3)). What is the first derivative of -2*z**3 + 4 + 0*z**3 + 1 - u wrt z? -6*z**2 Suppose 0 = -2*p + 4, v + 0*p = 2*p - 3. Find the first derivative of 2 - 12*j**4 - v + 8*j**4 wrt j. -16*j**3 Let v be (-2)/(1/3*-2). Let w = 0 + v. Find the second derivative of -6*q**2 + 2*q**w - q + 6*q**2 wrt q. 12*q Let f(u) = 10*u - 86. Let l be f(9). Let i(p) be the first derivative of -1/3*p**3 + 4 + 0*p**2 - 1/2*p**l + 0*p. Find the third derivative of i(y) wrt y. -12 What is the second derivative of -10*b - 5*b**4 + 0*b**4 + 15*b**3 - 15*b**3 wrt b? -60*b**2 Differentiate 2 - 189*n - 13 + 172*n wrt n. -17 Let q(j) = j**2 + 7*j + 3. Let d be q(-7). Suppose 0 = 3*r + 3*a - 51, -r + a = -d*r + 29. Find the third derivative of 10*v**2 - v**6 + 3*v**6 - r*v**2 wrt v. 240*v**3 Let w = -7 + 10. Find the second derivative of 3*h**4 + 0*h**4 + 0*h - w*h wrt h. 36*h**2 Let o(g) be the second derivative of -g**7/2520 - g**5/24 - 5*g**4/12 + g. Let a(w) be the third derivative of o(w). Differentiate a(s) with respect to s. -2*s Let r(t) be the third derivative of t**8/168 + t**4/6 + 10*t**2. Find the second derivative of r(i) wrt i. 40*i**3 Let d(p) be the third derivative of 0 - 1/12*p**4 + 3*p**2 + 1/120*p**6 + 0*p + 0*p**3 + 0*p**5. What is the second derivative of d(o) wrt o? 6*o Suppose -4 = 5*g - 19. Let i be (-4)/(-3) + 2/g. What is the first derivative of 3 - s + i*s - s - s**2 wrt s? -2*s Suppose 7*j - 2*j + 5 = 0. Let v be (-3 + 2)/(j/3). Find the second derivative of v*a - 2*a + a**5 - 3*a**5 wrt a. -40*a**3 Let t(y) be the first derivative of y**5/10 - 5*y**4/12 + 5*y - 2. Let c(g) be the first derivative of t(g). What is the third derivative of c(k) wrt k? 12 Let x be 10*-2*2/(-5). Suppose 5*g = x + 17. Find the third derivative of 4*k**5 - 5*k**g + 2*k**5 - 2*k**2 + 0*k**2 wrt k. 60*k**2 What is the third derivative of 95*h**5 - 2*h**2 + h + 95*h**5 - 187*h**5 wrt h? 180*h**2 Find the third derivative of 70 + 2*w**5 + 6*w**2 - 70 wrt w. 120*w**2 Let r(l) be the first derivative of -l**5 - 19*l - 15. Differentiate r(u) wrt u. -20*u**3 Let n(p) be the first derivative of p**9/168 - 3*p**5/20 + 3*p**2 - 4. Let k(c) be the second derivative of n(c). Find the third derivative of k(m) wrt m. 360*m**3 Let i = 3 - 1. Find the second derivative of -i*j**2 + 4*j - j**2 - j wrt j. -6 Find the second derivative of 2*s**2 - 1 - 6*s**2 - s**2 - 8*s**2 - 4*s wrt s. -26 Let i be 10/(-5) - (-5 - 0). Find the second derivative of 13*f**3 - f - 11*f**i + 1 - 1 wrt f. 12*f Let f(h) = -h - 2. Let t(v) = 2*v + 6. Let m(j) = -11*f(j) - 4*t(j). What is the first derivative of m(d) wrt d? 3 Let s(p) be the third derivative of 4/3*p**3 + 0 + 0*p**4 - 1/60*p**5 + 0*p + 3*p**2. What is the derivative of s(x) wrt x? -2*x Suppose -g + 3*g = 2*c - 18, 5*g = -4*c. What is the second derivative of -4*n**c - 4*n**5 - 2*n + 5*n**5 + 6*n wrt n? -60*n**3 Let k(z) be the first derivative of -z**5/30 + z**3/3 + z**2 - 1. Let a(b) be the second derivative of k(b). Find the first derivative of a(y) wrt y. -4*y Suppose 0 = 3*i - 7*i + 16. Find the second derivative of 5*u**2 + u**2 - 14*u - i*u**2 + 17*u wrt u. 4 Let g = -2 + 4. Let a = 1 - 1. Differentiate -v - g + 0*v + a*v with respect to v. -1 Suppose 0 = -0*n + n. What is the second derivative of n*m - 9*m - 8*m**3 + m wrt m? -48*m Let a(g) = g**2 + 3*g + 3. Let q be (-1 + 3/(-6))*2. Let x be a(q). What is
{ "pile_set_name": "DM Mathematics" }
press 6*l**3 + l**2 - l**4 - 2*l**4 + 15*l + l**4 - 17*l as u*l + q*l**4 + h + t*l**2 + d*l**3 and give q. -2 Express 15*r + r + 9*r in the form b*r + d and give b. 25 Rearrange (3*n + 0*n - 2*n)*(-3*n**3 + 2*n**3 + 2*n**3) + n - 4*n**4 - 3*n + 2*n**4 to j*n**3 + i + p*n**2 + g*n**4 + r*n and give j. 0 Express (-12 - 15 + 6)*(3 - 4 + 3)*(0*c**4 + 4*c**4 - 6*c**4) as b + q*c**3 + m*c**4 + j*c**2 + o*c and give m. 84 Express -9*a - 7*a - 3*a**2 - 9*a in the form g*a + k + v*a**2 and give v. -3 Express -8*h**3 - 15*h**3 + 2*h + 8 - 8 as y*h**3 + v*h**2 + i*h + m and give i. 2 Rearrange 8*p**2 + 25*p**2 - 5*p**2 to the form b*p**2 + r*p + h and give b. 28 Rearrange -26*i + 27*i - 3*i**4 - i**4 + 2 + 5*i**4 - i**2 to j*i**2 + q*i**3 + s + o*i**4 + r*i and give r. 1 Express f**2 - 4 + f**4 - 6 + 7 + f**3 in the form r*f**3 + m*f**4 + l*f**2 + s + t*f and give s. -3 Rearrange 2 - 2*d**2 - 2 + (0*d - 5*d + 4*d)*(1 - d - 1) - 2 + 2 + 2*d**2 + (2 - 3 - 1)*(2*d**2 - 5*d + 5*d) to the form b + w*d**2 + q*d and give w. -3 Express (-2*x + 0 + 0)*(x + 0*x - 3*x)*(-4*x + 16 + x + x) in the form i*x**3 + a + c*x**2 + s*x and give i. -8 Express -7*v**2 + 12*v**4 - 10*v**4 - v**2 + (-2*v + 2*v**3 + 2*v)*(-3*v - 5*v + 5*v) as f*v + q + t*v**4 + d*v**3 + j*v**2 and give j. -8 Rearrange 11*z**2 + 7*z**2 - z**2 - z**2 to i*z**2 + p*z + n and give i. 16 Express (-746 + 409 + 15)*(-2*z + 0*z + z) in the form x*z + o and give x. 322 Rearrange -2*i**3 - 17*i + i**2 - 3*i**4 - 1 + 8*i + 7*i to the form s*i**2 + p + a*i**4 + f*i + q*i**3 and give p. -1 Express 3 + 0*n**2 + 14*n**2 + 4*n - 11 - 12*n**2 as i*n**2 + q*n + d and give d. -8 Rearrange (-4 + 0 - 2)*(0 + 2 + 0)*(-1 + w + 1) to d*w + a and give d. -12 Express -31*o + 0*o**3 + 32*o - 2*o**3 - 1 + 0*o**3 as c + m*o**3 + h*o + a*o**2 and give c. -1 Rearrange 44*o**3 - 5 - 2*o**2 - 22*o**3 - o**4 - 24*o**3 to the form q*o**4 + x*o + d*o**2 + s + l*o**3 and give l. -2 Express (j - 6*j + 3*j)*(-7*j - 19*j + 124*j) in the form r + w*j + c*j**2 and give c. -196 Express 63 + 2*d**2 - 1 - 33 in the form n*d**2 + x*d + c and give c. 29 Express (-11 - k + 11 + 3)*(0*k**2 - k**2 - 2*k**2) as m*k + g*k**2 + j*k**3 + w and give g. -9 Rearrange -6*c**2 + 17*c**2 + 7 - 19 - 12*c**2 to the form a*c**2 + q + n*c and give q. -12 Express 4*q + 1 - q - 4*q**3 + 4*q**2 - 2*q**2 + 2*q**4 + 2*q**3 in the form h + n*q**4 + k*q**3 + j*q + g*q**2 and give h. 1 Rearrange -4*p + 2*p - 1 - 4 + 2 to i*p + s and give i. -2 Rearrange -105 + 14*j + 105 to h + f*j and give f. 14 Rearrange -129*b**3 + 64*b**3 + b - 7*b + 67*b**3 - 2*b**2 to the form j*b**3 + p*b**2 + u*b + r and give p. -2 Rearrange (13*a + 3 + 9 - 11)*(-1 + a - 2*a + 3*a) to the form t*a + x*a**2 + p and give x. 26 Express -2*d**3 + 4*d**3 + 4*d**3 + (-2*d**3 + 4*d - 4*d)*(4 - 2 - 1) - d**3 + d**3 + 4*d**3 + d**3 + d - d as a*d + k + i*d**3 + s*d**2 and give i. 9 Rearrange -38 - 29 - 23 + 2*k**2 + (-4 + 5 - 2)*(-2*k**2 + 1 - 1) to the form s*k**2 + j*k + z and give s. 4 Express (-3*b - b + 2*b + 5*b - 2*b - 2*b - 2 + 2 + 2*b + (0*b - 2*b + 0*b)*(-1 + 1 - 2) + 0*b - b - b)*(-3*b - 2 + 2) as x + j*b**2 + l*b and give j. -9 Rearrange 39*m - 67*m + 17*m + 78*m to o + u*m and give u. 67 Express (-2 + 1 + 0)*(-3*m + 5*m - 3*m)*(-31 + 31 + 3*m**2 - 6*m) as q*m**2 + j*m + x + b*m**3 and give b. 3 Express (-w**4 + 3*w**4 + 0*w**4)*(0 + 2 + 0) + (0*w + 4*w - 3*w)*(7*w**3 + 2*w**3 + w**3) in the form i*w + f*w**4 + t*w**2 + u*w**3 + p and give f. 14 Express (4*s - 280 + 280)*(5*s - 5*s - 2*s**2) in the form m*s**3 + y + w*s**2 + a*s and give m. -8 Rearrange 2*i - 17*i**2 - 3*i**2 - 2*i to q + b*i**2 + m*i and give b. -20 Rearrange (-f**2 - 2*f**2 + f**2)*(-9*f + 0*f + f) to d*f + u*f**3 + p + m*f**2 and give u. 16 Express (-4*g + 0*g + 3*g)*(4*g**3 - 2*g**3 + 2*g**3) + g**4 - 4 + 4 in the form u*g**3 + i*g**2 + p*g + z*g**4 + y and give i. 0 Express (1 + 0 - 2)*(-4*a + 6*a - a) + 0*a - 2*a + 4*a - 16 - 62*a + 14 - 11*a as b*a + j and give j. -2 Express 104*a + 88*a - 219*a as f*a + b and give f. -27 Express 0 + 69*y**2 + 0 - 87*y**2 in the form v + h*y**2 + z*y and give h. -18 Rearrange -r**2 + r**4 - r - 2*r + 1 + 2*r to the form s*r**4 + z + w*r + l*r**3 + j*r**2 and give z. 1 Express (-4*f**3 + 0*f**3 + 3*f**3)*(0 - 14*f - 1 + 7*f)*(-1 + 3 + 0) in the form y + k*f**3 + b*f**4 + d*f + r*f**2 and give k. 2 Express (-4*x**2 - 2*x**2 + 5*x**2)*(-6*x + 2*x + 10*x) + 0*x**3 - 2*x**3 + x**3 as u + n*x + z*x**3 + s*x**2 and give z. -7 Express -20*n - 34*n - 31*n in the form u + x*n and give x. -85 Rearrange -6*v**4 + 5 + 5*v - 2 - 4 - 7*v to c + k*v**2 + y*v**3 + b*v**4 + n*v and give b. -6 Rearrange (f + 3 - 3 + 0*f - f - f + (-5 + 2*f + 5)*(0 - 3 + 1))*(4*f + f - 4*f) to the form a*f**2 + s*f + j and give a. -5 Express (-l**2 + 2*l**2 + 2*l**2)*(15 - 15 + 7*l**2)*(-4 + 1 + 2) as y + j*l**4 + z*l**2 + b*l**3 + u*l and give j. -21 Rearrange (-4*c - c + c - 3 + 3 + c - 2*c - 3*c + 3*c + (5 - 4 - 3)*(2*c - 2*c + c))*(4*c - 2*c + 9*c) to the form p + i*c**2 + n*c and give i. -77 Rearrange 5*u - 5 + 5 - 16*u to the form q + i*u and give i. -11 Rearrange (-3*p**2 + 6*p**2 - p**2)*(1 - 19 + 2) to the form d*p + q + n*p**2 and give q. 0 Rearrange (-5*m**4 + 2*m**4 + m**4)*(5 + 2 - 4) to o*m**3 + v*m + h + a*m**2 + l*m**4 and give h. 0 Express 7*f - 4*f + f - 23*f in the form z*f + n and give z. -19 Express 16*y + 15*y - 8*y + y as o*y + f and give o. 24 Rearrange (-2*w + 2*w + 2*w**2)*(6*w**2 - 9*w**2 + 10*w**2) to v*w**4 + b*w + t*w**2 + f*w**3 + s and give v. 14 Express -7*h**2 - 4*h**2 - 2*h**2 + h**2 as k*h + v + n*h**2 and give n. -12 Express 41 + 2*i**2 + 2*i**3 + 2*i**2 - 43 in the form s*i**3 + g*i + o*i**2 + l and give o. 4 Express (0*k**3 - 11*k**3 + 0*k**3)*(-k + 2*k + k)*(-4 - 3 + 4) in the form f*k**4 + w*k + d + n*k**3 + l*k**2 and give n. 0 Rearrange (-2 - 1 + 1)*(-w + 0*w + 0*w) - 31*w - 42*w + 8*w to m*w + v and give m. -63 Rearrange 5*n**2 + 0*n**2 - 6*n**2 + (0 + 3*n + 0)*(7*n + 5*n - 6*n) to i + m*n**2 + l*n and give m. 17 Express (0 + o**3 + 0 + (3 - 1 - 4)*(42 - 42 + 26*o**3))*(2 - 1 + 0)*(2 - 2 - 1) + o**3 + 5*o**3 - 5*o**3 in the form z*o**3 + p*o**2 + t + g*o and give z. 52 Rearrange 2 - 6 - t**2 + 1 + 2 to the form x*t**2 + u*t + w and give w. -1 Rearrange ((-4 + 2 + 0)*(-7 + 12 + 5) + 2 + 3 - 6 + (-3 + 3 + 1)*(-6 + 3 + 2))*(1 - q**4 - 1) to c*q**3 + u*q**2 + w + y*q + i*q**4 and give i. 22 Rearrange -2 - 17*h + 13*h + 4*h + 21*h**4 - h**3 to b*h**4 + z*h + q + l*h**2 + p*h**3 and give b. 21 Rearrange -h + 2*h + 0*h to the form l*h + w and give w. 0 Express (-2 + 0 - 2)*(o - 7*o + o)*((4 + 0 - 2)*(2 - 5 + 1) + 0 + 1 + 0)*(-1 - 2 + 1) as n + a*o and give a. 120 Rearrange 0*t + 3*t**3 + t**3 - 1 - t + 0*t**3 to r*t + i*t**3 + j*t**2 + u and give i. 4 Express 2*p**3 - 4*p**2 + 2*p**4 + p - p**4 + p + 2*p**2 in the form y*p + b*p**4 + n*p**3 + d*p**2 + j and give y. 2 Express -j**3 - 3*j**2 + 0*j**3 + 2*j**2 in the form h*j**3 + k*j + o + w*j**2 and give k. 0 Express -1894*f**2 - 15*f - 27*f + 1893*f**2 as z*f**2 + q*f + l and give z. -1 Express -v**2 + 0*v**2 + 0*v**2 - 3*v**2 + 2*v**2 + 2*v**2 + (v - 2*v + 0*v)*(-5*v + 0*v + 3*v) + 0*v**2 + 0*v**2 + v**2 as y + r*v**2 + s*v and give r. 3 Express (0*t - t + 3*t)*(3*t**2 + t**2 - 2*t**2) + 2*t**3 - 4*t**3 + 3*t**3 + 4*t**2 - 4*t**2 + 4*t**3 in the form v*t**3 + o*t + c*t**2 + x and give v. 9 Rearrange 64 - 3*g - 43 + g - 33 to a*g + b and give b. -12 Express -q**2 - 13 + 0*q**2 + 4*q**3 - 2*q**3 in the form h*q**2 + t*q**3 + f*q + z and give t. 2 Rearrange 1 + b**3 + b**3 - 3 to the form j*b**2 + x*b**3 + o + a*b and give a. 0 Express 3*g**3 - g**3 + 0*g**3 + 25*g**2 as z*g**3 + p*g + a*g**2 + n and give p. 0 Rearrange -q**4 - 4 + q**2 - 2*q**4 + 2*q**2 + 6 + 2*q to the form l*q**3 + n*q + v*q**4 + k*q**2 + i and give n. 2 Rearrange (-6*o**3 + 2*o**3 + 3*o**3)*(-2 + 8 + 2) + 7*o**3 - 7*o**3 + 7*o**3 to the form p*o**3 + u*o**2 + c*o + t and give p. -1 Rearrange -5*k + k + 3*k + (-1 + 1 - k)*(-4 + 6 - 3) + 6*k - 3 + 3 - 3*k + k + k + (3*k - 2*k + 0*k)*(-2 + 1 + 2) to the form u + c*k and give c. 6 Rearrange -15*d**3 + 43*d**3 - 2*d - 23*d**3 - 1 to the form v*d**2 + b*d**3 + o + y*d and give b. 5 Rearrange (-2 + 0*l + 1 + 2*l)*(-
{ "pile_set_name": "DM Mathematics" }
False Which is smaller: 6508 or 6507? 6507 Is -27399 > -27401? True Which is smaller: 17 or 190/11? 17 Is 779 greater than 779? False Is -0.0031 less than or equal to 1? True Which is smaller: 588/113 or 5? 5 Which is bigger: -351 or -1055/3? -351 Which is greater: -270 or -269? -269 Are -1375 and -1377 unequal? True Which is bigger: 1 or 39/55? 1 Do -194 and -193 have the same value? False Is -147 >= -1024/7? False Do -56 and -56 have different values? False Is 7 > -6? True Which is greater: -107/18 or -5? -5 Is -2 greater than or equal to -92/27? True Do -4446 and -4444 have the same value? False Is 132 smaller than 137? True Is -204 at most -205? False Which is smaller: 1/1359 or -1? -1 Is 1 smaller than 8/185? False Which is bigger: -6805 or -0.2? -0.2 Which is greater: 0.24 or -2/9? 0.24 Is 384/5 <= -1/4? False Which is bigger: -1 or -2/12845? -2/12845 Is 12 at most 6? False Which is greater: 11063 or 11062? 11063 Which is smaller: 1 or 4/577? 4/577 Which is smaller: -7062/5 or -1411? -7062/5 Is -2027 less than or equal to -2028? False Is 0 at most as big as 0.2243? True Which is smaller: 0.1 or -0.186? -0.186 Is 1 equal to -2/3459? False Is 1 > 1.39? False Is -23 greater than -22? False Which is smaller: -1/39 or -0.9? -0.9 Is -15/206 at least -1? True Is -366 less than -366? False Do 0.177 and -1 have the same value? False Is 1182 smaller than 1181? False Which is smaller: -456 or -462? -462 Which is smaller: 1 or -8/339? -8/339 Which is bigger: -1/4 or -12/4639? -12/4639 Which is bigger: -1175/6 or -196? -1175/6 Which is greater: 139 or 1107/8? 139 Which is smaller: -236 or -256? -256 Is 663 at most 0.2? False Is -1090 at most as big as -1087? True Which is smaller: 0 or -2/891? -2/891 Is -3 > -141/40? True Which is smaller: -1 or -1/5628? -1 Do 109 and 4 have the same value? False Which is bigger: -183 or -1/4? -1/4 Which is bigger: -3786 or -1? -1 Which is bigger: 329 or 331? 331 Is 1 < 1/183? False Which is bigger: 61/6 or 11? 11 Is 2 at most 47/40? False Are 1389 and 1384 equal? False Which is smaller: -1016 or -1018? -1018 Which is smaller: 1/103 or -2? -2 Is -2/10359 less than 0? True Is 1/6920 <= -1? False Which is smaller: 0 or 47.34? 0 Which is greater: 0 or -1/939? 0 Which is greater: 1 or 9/1558? 1 Is 2213 greater than 2210? True Which is greater: 3/572 or -1? 3/572 Which is smaller: -16 or 1? -16 Which is bigger: -16 or 0.025? 0.025 Which is bigger: 1 or 4/467? 1 Is -1 <= 1/251? True Which is smaller: -9 or -0.7? -9 Which is smaller: 7/500 or 1? 7/500 Which is smaller: 874 or 876? 874 Are -13/11 and -1 equal? False Which is smaller: 71 or 650/9? 71 Which is greater: -1/2 or -72? -1/2 Which is greater: 3/305 or 2/3? 2/3 Which is smaller: -1 or 5/1483? -1 Is -171 bigger than -168? False Which is greater: -8426 or -8424? -8424 Which is smaller: 114 or 451/4? 451/4 Which is bigger: 8 or 9/13? 8 Which is smaller: -12/349 or 1? -12/349 Is -2083/2 at most -1043? False Which is bigger: -0.39 or 8.23? 8.23 Is -9/203 > 0? False Which is bigger: -1 or -2/293? -2/293 Is -1825 > -6? False Is 0.032 equal to 86? False Which is smaller: 0.063 or 1? 0.063 Which is smaller: -353/4 or -89? -89 Is -2982 at most as big as -2981? True Are 3436/11 and 313 unequal? True Is 58/33 at least as big as 2? False Which is smaller: -9/16 or -3? -3 Is -428 <= -429? False Is 2 greater than -7/25? True Which is greater: 0.5 or 0.023? 0.5 Which is greater: -3769 or -0.3? -0.3 Which is greater: 1 or -6/13? 1 Which is greater: 13 or 270/19? 270/19 Is -45 >= 8? False Do 0 and 24/85 have the same value? False Which is bigger: 326 or 5520/17? 326 Which is greater: -72 or -73? -72 Which is smaller: -101 or 97? -101 Do -10 and -83/9 have different values? True Is 2 equal to -48.65? False Is -21 less than or equal to 22/31? True Which is smaller: 2315 or 2320? 2315 Is 578/11 greater than 53? False Do -4/43 and 0.8 have the same value? False Which is smaller: 676 or 677? 676 Is 1 at most as big as 105/176? False Which is bigger: 99 or 98? 99 Is 83 equal to 82? False Which is smaller: 1 or 2/127? 2/127 Which is smaller: 491/10 or 50? 491/10 Which is smaller: 7 or -90? -90 Does 1/62 = 33? False Do -2 and 1563 have the same value? False Which is smaller: -39 or -235/6? -235/6 Is 74 != 1432/19? True Which is greater: 157 or 158? 158 Which is bigger: 141 or 698/5? 141 Is -41 not equal to -97? True Which is smaller: -0.08 or -1/119? -0.08 Is 978 greater than 979? False Which is bigger: -1222 or -1220? -1220 Is -4/9 not equal to 92/3? True Is 239 bigger than 240? False Which is bigger: -0.04 or -37? -0.04 Which is bigger: -404 or -397? -397 Which is bigger: -40 or -2? -2 Which is greater: 0 or -2/2877? 0 Are 6 and 8/3 equal? False Is -2/3 less than or equal to -30.7? False Are -18/19 and 127 equal? False Are 0.95 and -2 equal? False Which is smaller: 18 or -9? -9 Is -4043 at least as big as -4042? False Which is greater: 3387 or 2? 3387 Which is greater: -241 or -2168/9? -2168/9 Which is smaller: -2705 or -8117/3? -8117/3 Is 2/19 at least as big as -0.21? True Is 246 greater than 246? False Is 128 greater than or equal to 140? False Which is greater: 168 or -1/186? 168 Is -186 <= -186? True Which is bigger: 144 or 145? 145 Is -4283 != -4283? False Is -69 greater than -2? False Is -0.001 less than 88? True Do -27 and -21 have different values? True Which is bigger: 1314 or 1310? 1314 Which is smaller: -13859 or -13860? -13860 Is 7 bigger than 392/71? True Is 1267 > -1/7? True Which is smaller: 85 or 102? 85 Which is greater: 106/3 or 34? 106/3 Does -21782 = -21782? True Which is smaller: -0.9 or -0.149? -0.9 Does 1/6905 = 0? False Is 97 > 87? True Which is greater: 12412/5 or 2481? 12412/5 Is 565 <= 565? True Which is bigger: 1/67110 or -1? 1/67110 Is 0 less than -2/71315? False Which is greater: -847 or -843? -843 Is -61 less than -61? False Which is bigger: -1 or 3/757? 3/757 Is 2398 >= 2399? False Is -1 < -3363/8? False Is -3 greater than 5? False Which is bigger: 14/3 or -12/13? 14/3 Is -2152/5 at least as big as -1? False Which is smaller: 15/436 or -1? -1 Is -6 greater than -4? False Does -3/32 = 3/46? False Is 1/85 greater than -1? True Is 5/7147 != 1? True Which is bigger: -659/51 or -13? -659/51 Which is bigger: 1 or 74/301? 1 Are -72 and -73 non-equal? True Which is smaller: 598 or 600? 598 Which is greater: 0 or -2/99? 0 Is -526 smaller than -527? False Is 15781 at least as big as 15781? True Which is greater: -416 or -388? -388 Is -60/19 less than or equal to -2? True Which is greater: -96 or -103? -96 Is -1.34 at least as big as -0.2? False Is 233 greater than or equal to 233? True Does 0 = 80/297? False Which is smaller: -718/3 or -240? -240 Which is smaller: 7 or 13? 7 Which is greater: 122 or 2/3? 122 Is -2/17 at most -1351? False Which is bigger: -0.0412 or 1? 1 Is -1840 smaller than -1840? False Is 0 greater than or equal to -3/2842? True Which is smaller: 55 or 46? 46 Which is smaller: 1 or -17/111? -17/111 Is -49 greater than -35? False Is 506 less than 507? True Is 12338 < 12336? False Which is greater: 1.1 or -175? 1.1 Which is bigger: -55 or -74? -55 Is 0.1 > 10908? False Which is greater: 1 or -11123? 1 Is -51 at least as big as -348/7? False Is -61674 >= -61673? False Which is bigger: 3068 or 3067? 3068 Which is smaller: -2/27349 or 0? -2/27349 Which is smaller: -28/111 or 1? -28/111 Does 0.1 = -838? False Is 0.2 at least as big as 115? False Which is bigger: -0.1 or -563? -0.1 Which is smaller: -140/299 or 1? -140/299 Which is smaller: 1/3 or 95/97? 1/3 Is -53 smaller than -53? False Which is bigger: -2/11 or -18/473? -18/473 Which is bigger: 0 or 2/18265? 2/18265 Are 178 and 178 nonequal? False Which is greater: 17/14 or 0? 17/14 Which is smaller: 65/61 or 2? 65/61 Is -3/598 < 1? True Which is greater: 219/14 or 16? 16 Is 311 at least 312? False Is -63 > -836/13? True Is 1280 >= 0.3? True Which is greater: -2754/11 or -251? -2754/11 Is -2827 greater than or equal to -2828? True Which is smaller: 223 or 3? 3 Which is greater: -1 or 22/3473? 22/3473 Which is greater: 26 or 14? 26 Is 39 at most 37? False Is -0.91 at least -2/3? False Which is smaller: 214 or 853/4? 853/4 Is 5/6 less than or equal to -14? False Which is greater: 2 or -4/37? 2 Does
{ "pile_set_name": "DM Mathematics" }
165*q**4 - 149*q**4 + 93*q**4)*(-1 - 4 + 17 + 1) to the form l*q**3 + u + s*q**4 + y*q**2 + i*q and give i. 0 Rearrange 253*v**2 - 124*v**2 + 2*v**3 - 3*v**4 - 128*v**2 - 3*v + 9 to the form b*v**4 + t*v**3 + u + z*v**2 + q*v and give z. 1 Express (-j + 0*j + 3*j)*(-2 + 5 - 4) + ((2*j - 5 + 5)*(0 - 2 + 1) + 5*j + j - 5*j - j + 3*j - 3*j + 0*j + j + 2*j)*(20 - 145 - 24) as b*j + f and give b. -151 Rearrange -2 + 6*s**2 + 2*s**3 - 48554*s - 48609*s + 97271*s - 2*s**4 to the form q*s**3 + t*s + w*s**2 + p + u*s**4 and give q. 2 Express (-a + 2*a + a)*(-2*a - 631 + 4*a - 378)*(2*a + 3 - 3) in the form r*a**2 + z*a**3 + m + s*a and give s. 0 Rearrange 18 + 11 + 2*y**2 + 13 + 22 to the form x*y + d + s*y**2 and give d. 64 Rearrange -3*f**2 + 2*f**3 - 6 - 2 - 4*f - 1 + 15 - 2 to j*f**2 + r + w*f + m*f**3 and give m. 2 Express -7*p + 761 + p**2 + 12*p**3 - 1540 + 779 in the form c*p + r*p**2 + k + g*p**3 and give g. 12 Express -168 - 245*p - 257*p - 252*p + 732*p as q + d*p and give q. -168 Express 9*p**4 - 184*p - 180*p - 92 + p**3 - p**2 - 180*p + 542*p + 13*p**4 in the form n*p**2 + b*p + r*p**4 + l + i*p**3 and give i. 1 Express -9538 + 3177 - 2315*r**2 + 3183 + 3176 in the form g*r + t*r**2 + a and give a. -2 Express (3 + 19*p - 16*p - 1)*(-501*p - 435*p + 1070*p)*(-5 + 0 + 3) in the form j*p**2 + d + l*p and give l. -536 Express (-5960*a + 8114 - 8114)*(-4*a + a**2 + 4*a + 2*a - 2) in the form c*a**2 + r*a + m*a**3 + x and give c. -11920 Express 13*o**2 - 3*o - 45*o**2 + 591 + 14*o**2 + o**3 + 17*o**2 in the form d*o**2 + s*o + p*o**3 + f and give d. -1 Rearrange -378*x + 763*x + 37 - 377*x - 8*x**2 - 62 to the form n*x**2 + v*x + k and give v. 8 Rearrange (2*f - 3*f + 3*f)*(35 - 35 - 56*f)*(2 - 4 + 0)*(-5 + 3 + 0 + 2*f**2) + f**4 - 3*f**4 - f**4 to z*f**3 + t + n*f + b*f**4 + k*f**2 and give k. -448 Rearrange 7*g - 7 + 314*g**3 - 4*g**4 + 0*g**2 - 2*g - 313*g**3 - 2*g**2 - 18*g**4 to the form l*g**3 + i*g**2 + k*g + d*g**4 + o and give k. 5 Express (-16*l + 12*l - 33*l)*(-53*l**2 - 17*l**2 - 9*l**2 + (-4*l**2 + 6*l**2 - 3*l**2)*(0 - 4 + 3) - 1 + 1 + l**2) as y + g*l + p*l**2 + b*l**3 and give y. 0 Rearrange (0*v - 4*v - v)*(0 - 2*v + 0)*(-1 + 0 + 2)*(4 - 1 - 8)*(36 - 41 + 42) to the form i + z*v + p*v**2 and give p. -1850 Rearrange (5 + 6 - 6)*(61*y - 1 - 11*y**4 + 30*y**4 - 59*y) to u + a*y**2 + x*y**3 + d*y**4 + t*y and give u. -5 Rearrange (-8*z**2 + z**2 + 26*z**2)*(5 + z - 5 + (-2 + 6 - 2)*(0*z + z - 2*z) - 2*z - 3*z + z) to s + o*z**3 + g*z + r*z**2 and give o. -95 Rearrange (-102*u**3 - 70*u**3 + 115*u**3)*(-u + 7 + 0 - 3) to k*u**2 + p*u + r + i*u**3 + l*u**4 and give l. 57 Express -199196 + 4743*b**2 + 199196 as m*b + i*b**2 + l and give i. 4743 Rearrange -129*i + 1 - 1251*i - 380*i + 80*i - 114*i to q*i + g and give q. -1794 Express -74 - 59 + 310 + 25*v + 59 as r*v + u and give r. 25 Express 14339*w + 2*w**3 - 14498*w - w**3 + w**2 - 1 in the form i + a*w**2 + c*w + r*w**3 and give a. 1 Express (22*q**2 + 4*q - 2*q - 28*q**2)*(q - 3*q + 3*q)*(0 + 1 - 15) as m*q**3 + g*q**2 + v*q + d and give m. 84 Rearrange 139*f**2 - 459*f**2 - 4*f - 138*f**4 + 319*f**2 to y*f**3 + u*f + v*f**2 + m + i*f**4 and give i. -138 Express (-5*l - 5*l + 5*l)*(3759 + 5833 - 45) in the form v + x*l and give x. -47735 Rearrange 5*q**3 - 6*q**3 + 5*q**3 + (16 - 1 - 8)*(q - 6*q + 10*q**3 - 11*q**3) to the form b*q**3 + x*q + r + y*q**2 and give x. -35 Rearrange (5567*b + 4003*b - 1032*b)*(-4*b - b**2 + 4*b) to the form r*b + l*b**3 + g + u*b**2 and give l. -8538 Rearrange (-5 + 2*a + 5)*(9*a + 9*a + 28*a - 12*a - 7)*(-381 - 264*a + 381) to r*a**3 + n*a + y*a**2 + c and give r. -17952 Rearrange 64*b + 62*b + 303*b - 11*b to the form v + x*b and give x. 418 Rearrange -2*l + 5*l**2 + 54 + 54 - 16 - 13 to q*l + x + c*l**2 and give x. 79 Rearrange 748*d - 607*d - 4 - d**3 + 2 - 4*d**3 to t*d**3 + m*d**2 + s*d + z and give z. -2 Express -260*q**2 - 271*q**2 - 269*q**2 + 786*q**2 - 9*q + 2 as w*q + v*q**2 + o and give v. -14 Rearrange 2396*d**2 - 1415*d**2 - 525*d**2 - 1507*d**2 to the form n + z*d**2 + c*d and give z. -1051 Express 3276*q**3 + 1 + 5*q**4 - 4*q**4 - 3315*q**3 + 2 + q - 2*q**2 in the form w*q**3 + i*q + y*q**2 + j*q**4 + u and give y. -2 Express -491*g - 15 + 1458*g - 478*g + 7*g**3 - 480*g as p*g**3 + c*g**2 + k + u*g and give k. -15 Express -865*q + 10*q**3 - 4*q**3 + 126007*q**2 - 126007*q**2 as t*q**2 + p*q + l + g*q**3 and give p. -865 Express 3091*k**2 - 1389*k**2 - 15*k + k**3 + 94 - 1704*k**2 in the form a*k**3 + u + p*k + n*k**2 and give u. 94 Rearrange 72*b**2 + 759 - 1604 + 871 - 4 + 4 - b**2 + (1 - 1 - b)*(-4 - 2*b + 4) to the form s*b**2 + t*b + z and give z. 26 Rearrange -713*o - o**3 + 713*o + 46*o**2 + (-4 + 4 - 2)*(-1 - 10*o + 10*o + 2*o)*(-o**2 - 4*o**2 + 4*o**2) to the form h*o + j*o**3 + v*o**2 + c and give h. 0 Rearrange 3*q + 86 + 0*q + 25 - 33 - 28*q to the form n*q + f and give n. -25 Rearrange -961*q - 2*q**2 - 7*q**2 + 29*q**2 - q**2 - 10*q**2 to m*q**2 + x*q + u and give u. 0 Rearrange 1 - l - 1 - l + 2*l + l + 0*l - 2*l + 3*l + (0 + 3 - 1)*(2 - 2 + 2*l) - 3*l + 2*l - 2*l + (-405*l - 6*l - 417*l)*(2 - 2 + 3) to d*l + z and give d. -2481 Express -1610*i + 2930*i - 1849*i in the form h*i + w and give w. 0 Express (-3*m**2 - 2*m**2 - 3*m**2)*(2*m + 21*m**2 - 28*m**2 - 70*m**2) as v*m + u*m**4 + q*m**3 + g*m**2 + j and give q. -16 Rearrange -13*c + 31 - 50*c**3 - 66 + 2*c**2 + 33 to the form s*c + y*c**3 + o + t*c**2 and give o. -2 Express (5*d + 4*d + 11*d)*(42*d - 55*d**3 - 42*d) - 45 + 45 - 15*d**4 + 0*d**4 - 2*d**4 + 0*d**4 in the form g*d + k + o*d**2 + u*d**3 + r*d**4 and give r. -1117 Rearrange 148*t**2 + 6*t**2 + 3 + 972*t - 1892*t + 922*t to the form p*t + z + x*t**2 and give p. 2 Express 194 + 219 - 421 - 39*n**2 + 141*n**2 as h + m*n**2 + s*n and give m. 102 Rearrange 0*t**2 - t**2 + 2*t**4 + 5*t + 5947*t**3 - 6421*t**3 - 2*t to z*t**2 + c*t + w*t**4 + g*t**3 + k and give w. 2 Express 143*k**3 + 100*k**2 - 246*k**3 + 116*k**3 in the form i*k**3 + y + s*k + t*k**2 and give i. 13 Express -2342 - 84*u**2 + u**4 + 1168 - 2*u + 2*u**2 + 1172 - u**3 in the form m*u**2 + k*u**3 + v*u**4 + f*u + d and give k. -1 Rearrange ((-2 + 3 + 0)*(l**2 + 4*l**2 - 3*l**2) + 8891 - 9113*l**2 - 8891)*(3*l - 2*l**2 - 3*l) to the form i*l**4 + v + u*l**3 + t*l**2 + q*l and give i. 18222 Rearrange -12151*u**2 - 6*u + 3*u + 3*u + 19945*u**2 to q*u + c*u**2 + a and give c. 7794 Rearrange 110 - 110 - 16*y**3 - 4 - 46*y**3 - 9*y**3 - 171*y**3 + 4 + (0 - 2*y + 0)*(y**2 - 4*y**2 + 4*y**2) to the form l*y + z*y**2 + b + o*y**3 and give z. 0 Express -4*d**2 - 2*d**2 + 3*d**2 + (3*d**2 + 92*d - 92*d)*(18 + 40 - 7) in the form z + s*d**2 + u*d and give s. 150 Express d + 2*d**3 - 167658*d**4 + 167656*d**4 + 730 - 151 in the form u + g*d**4 + m*d + v*d**2 + q*d**3 and give g. -2 Rearrange -9 + 13*p - 34*p - 46*p - 16*p to the form g + a*p and give a. -83 Express -563*x + 285*x + 2 + 331*x as i*x + z and give z. 2 Rearrange 79832*a**3 + a - a + a**2 - 159665*a**3 + 79829*a**3 + 2*a - 92 to the form r*a + f*a**3 + c + m*a**2 and give c. -92 Rearrange (8592*q**2 - 4291*q**2 - 4294*q**2 - 72*q)*(-q + 4*q - 2*q) to v*q + d*q**3 + p + z*q**2 and give d. 7 Express -l**4 - 3*l**3 - 32 - 17 - 20 + 126*l**2 + 75 as i + q*l + r*l**4 + z*l**3 + j*l**2 and give j. 126 Rearrange (8 - 3 - 60*g + 61*g)*(435*g - 521*g + 285*g)*(g + 2*g - g) to j*g**3 + i + u*g**2 + a*g and give j. 398 Rearrange 150*h - 56*h + 235 + 5*h**2 - 49*h - 3*h**2 - 43*h to a + r*h + f*h**2 and give a. 235 Express -9 - 10 - 7*s**2 + 64*s + 38 - 64*s + 4*s**3 in the form j*s**2 + r + w*s + l*s**3 and give r. 19 Express ((o - 2*o - 4*o)*(-2 + 1 + 3) + (0 - 2 + 4)*(o + 0*o - 3*o))*(0 - 18 - 21)*(-15*o - 127 + 127) in the form l*o**2 + u + j*o and give l. -8190 Rearrange (n - n + n)*(54*n + 264 - 264) + (0 + 2*n + 0)*(n - 28 + 28) to the form c*n + s + b*n**2 and give b. 56 Rearrange -127*z**2 + 255 - 255 + (5*z**2 - 3*z**2 - 3*z**2)*(-1 + 4 - 1) to r*z**2 + y + i*z and give r. -129 Express -1282*n + 2556 - 5145 + 2589 as r + d*n and give d. -1282 Rearrange -5*r + 20*r**3 + 76 + 5*r + 7*r - 9*r to c*r + n*r**2 + i*r**3 + x and give c. -2 Express -223 + 80 + 72 - 5469*n + 71 in the form p*n + g and
{ "pile_set_name": "DM Mathematics" }
= -13920*l. What is h(m(r))? -193766400*r**2 Let t(w) be the second derivative of w**3/6 + 23*w. Let r(z) = 2*z + 30. Calculate r(t(n)). 2*n + 30 Let p(h) = 2*h. Let s(j) = 43*j + 24 + 13 - 37. Give p(s(l)). 86*l Let l(t) = -8*t. Let a(y) = 1207*y - 5. Determine a(l(p)). -9656*p - 5 Let m(n) = 2*n. Let p(c) = -325*c + 1746. Calculate p(m(v)). -650*v + 1746 Let k(s) = 104342*s**2. Let o(t) = -6*t. Determine k(o(h)). 3756312*h**2 Let j(c) = -c**2 + 5*c + 2. Let g be j(5). Let x(s) = -3*s**2 + 6*s**2 - g*s**2 + 2*s**2. Let y(u) = -6*u**2 + 18*u**2 - 11*u**2. Calculate y(x(d)). 9*d**4 Let n(z) = -2*z. Let g(j) = -j**3 + 26*j**2 + 28*j - 19. Let w be g(27). Let i(a) = w*a - 4*a + 2*a. What is i(n(t))? -12*t Let h(a) be the second derivative of 0 + 1/12*a**4 + 0*a**3 + 0*a**2 - 5*a. Let b(f) = 2*f**2 - 3*f**2 + 0*f**2. Calculate h(b(u)). u**4 Let k(t) = 3*t + 4 + 0 + 9*t + 2. Let b(i) = 1 + 4 - 4 + 0. Let j(v) = 6*b(v) - k(v). Let s(w) = 3*w**2. Determine j(s(l)). -36*l**2 Let b(l) = 2*l. Let o(s) = s - 16406. Calculate o(b(m)). 2*m - 16406 Let r(j) = 3*j - 1. Let n(l) = -623*l + 178. Let p(g) = -3*n(g) - 534*r(g). Let c(k) = -k. Give c(p(m)). -267*m Let o(r) = -3661*r**2 - 16*r. Let y(q) = -4*q. Give y(o(z)). 14644*z**2 + 64*z Let l(j) = -9*j**2 - 14*j**2 + 22*j**2. Let u(p) = 121*p**2. Give l(u(c)). -14641*c**4 Let c(g) = 7*g**2 + 6*g**2 - 15*g**2. Let p(k) be the third derivative of 0*k**3 + k**2 + 0 + 0*k + 1/60*k**5 + 0*k**4. Calculate p(c(b)). 4*b**4 Let b(t) = -2*t - 1 + 1. Let x(c) = -4*c. Let h(u) = -7*b(u) + 4*x(u). Let s(f) = 24*f + 22. Let k(p) = p + 1. Let g(q) = 44*k(q) - 2*s(q). Give g(h(y)). 8*y Let f(m) be the second derivative of 5*m**3/3 - 275*m. Let t(p) = -p**2. What is f(t(l))? -10*l**2 Let f(m) = -4*m**2 + 2*m**2 + m**2. Let d(h) = -h + 18. Let q be d(16). Let z(j) = 3*j - 14*j + 11*j + 7*j**q. Determine f(z(w)). -49*w**4 Let k(n) = 3*n. Let a(r) = -46*r + 6. Let j(y) = 597*y - 81. Let f(p) = 27*a(p) + 2*j(p). What is f(k(q))? -144*q Let g(l) = -l. Let q(w) = w**2 - 16*w + 2. Let r be q(16). Let f(s) = -5*s - r*s + 30 - 30. What is f(g(n))? 7*n Let s(i) = -2*i + 2. Let k(f) = 2*f - 3. Let u = 11 + -5. Let g = u - 8. Let n(y) = g*k(y) - 3*s(y). Let q(x) = x**2. Calculate n(q(d)). 2*d**2 Let g(m) = 302*m**2 + 4*m + 9. Let o(w) = -8*w**2. Calculate g(o(s)). 19328*s**4 - 32*s**2 + 9 Let c(u) = 4*u**2 + 7*u. Let g(f) = -207*f + 2. Calculate c(g(k)). 171396*k**2 - 4761*k + 30 Let z(k) = -31*k - 9. Let n(q) = 4 + 4*q + 0 + 4*q - 2. Let h(d) = 9*n(d) + 2*z(d). Let c(r) = -r. Let i(t) = -t. Let p(o) = c(o) - 2*i(o). Determine p(h(a)). 10*a Let t(x) = 0*x**2 + 0*x**2 - 5*x**2 + 3*x**2. Let j(p) = -3*p**2. Let z(r) = -5*j(r) + 9*t(r). Let u(v) be the first derivative of v**2 - 44. Calculate u(z(i)). -6*i**2 Let k(l) = 286*l**2. Let s(n) = 440*n**2. Calculate k(s(v)). 55369600*v**4 Let o(i) = -2*i. Let a(u) = -26*u**2 + 3*u. Let h(l) = -4*l**2 + l. Let q(v) = -a(v) + 6*h(v). Give o(q(s)). -4*s**2 - 6*s Let i(c) = 3*c**2 + 95. Let y(x) be the first derivative of -x**2 - 345. Give i(y(r)). 12*r**2 + 95 Let i(y) = 2 - y**2 - 8 + 6. Let b(f) = -112*f**2. Give b(i(s)). -112*s**4 Let x(w) = 192*w + 53. Let j(v) = -21*v**2. Give x(j(c)). -4032*c**2 + 53 Let k(d) = 12*d. Let l(m) = m**3 + 3*m**2 - 4*m + 4. Let f be l(-4). Suppose 0 = -5*j + 4*t + f, -5*t = -20. Let x(a) = 2*a + a - j*a. Determine x(k(i)). -12*i Let f(m) = -26*m. Let n = -76 - -92. Let v(t) be the third derivative of 5*t**4/24 - t**2. Let r(p) = n*v(p) + 3*f(p). Let h(z) = 18*z**2. Give r(h(l)). 36*l**2 Let y(b) = -17*b**2 + 15*b**2 - 3*b**2. Let a(z) = -13*z. Calculate y(a(k)). -845*k**2 Let i(k) = 2*k**2. Let x(c) = 85*c + 18. Let j(q) = 84*q + 21. Let s(r) = 6*j(r) - 7*x(r). Determine s(i(h)). -182*h**2 Let c(m) = m**2 - 15*m + 35. Let g(y) = 1. Let w(l) = -c(l) - 4*g(l). Let z(u) be the first derivative of w(u). Let a(k) = -3*k**2. What is a(z(f))? -12*f**2 + 180*f - 675 Let g(u) = 64*u**2 - 36*u**2 - 19*u**2. Let s(c) be the second derivative of -c**4/12 - 6*c. Calculate g(s(h)). 9*h**4 Let j(o) = 2*o. Suppose -47 = -4*v + 213. Suppose 4*n + n - v = 0. Let f(i) = -3*i - n*i + 5*i. Calculate j(f(u)). -22*u Let b(v) = 33*v. Let x(d) = 3*d + 2. Let l(s) = -2*s + 1. Let p(r) = 2*l(r) - x(r). Calculate p(b(o)). -231*o Let m(y) = 5*y + 11. Let g(i) = -i - 2. Let p(u) = 11*g(u) + 2*m(u). Let r(v) be the third derivative of v**4/3 + 14*v**2. What is p(r(x))? -8*x Let u(i) = 1115*i. Let r(w) = 2*w**2 - w. Calculate r(u(a)). 2486450*a**2 - 1115*a Let j(z) = 59*z**2 + z. Let l(r) = 43*r**2. Calculate j(l(m)). 109091*m**4 + 43*m**2 Let c = -65 - -71. Let u(y) = -10*y + y + c*y. Let h(k) = 9*k**2. Give h(u(l)). 81*l**2 Let f(q) = -2*q. Let w(h) be the third derivative of 1/4*h**4 + 0*h**3 + 0 + 0*h - 13*h**2. What is w(f(x))? -12*x Let j(m) = -119*m**2 - 36. Let l(h) = -2*h. Give l(j(s)). 238*s**2 + 72 Let t(s) = -40*s**2. Let k(b) = 5*b**2 - 6*b - 3. Let i(j) = -13*j**2 + 16*j + 8. Let l(h) = 3*i(h) + 8*k(h). What is t(l(f))? -40*f**4 Let m(o) = 53*o - 1. Let n(w) = -874*w. Determine n(m(l)). -46322*l + 874 Let g(u) = 10*u. Let n(c) = 4*c**2 + 6*c - 3. Let q(l) = -5*l**2 - 8*l + 4. Let j(h) = 4*n(h) + 3*q(h). Determine g(j(m)). 10*m**2 Let j(t) = t**2. Let q(k) = 584*k - 284*k - 2 - 823*k + 2. Determine j(q(y)). 273529*y**2 Let b(g) = 21*g**2 - 21*g**2 + 18*g**2. Let x(n) = 10*n. Determine b(x(l)). 1800*l**2 Let q(i) = -37070*i. Let z(a) = 2*a**2. What is q(z(p))? -74140*p**2 Let v(r) be the second derivative of -r**3/6 + r + 13. Let c(b) be the third derivative of -b**5/15 + 7*b**2. What is v(c(p))? 4*p**2 Let x(z) = 16*z - 10. Let k(f) = -2. Let b(w) = 5*k(w) - x(w). Let i(d) = 2*d. Give b(i(s)). -32*s Let t(c) = -75*c + 105. Let b(s) = 19*s - 28. Let h(j) = 15*b(j) + 4*t(j). Let q(d) = -18*d**2. What is h(q(m))? 270*m**2 Let c(z) = 7*z - 64. Let p(q) = -q. Give c(p(f)). -7*f - 64 Let g(b) = -11*b**2. Let d(t) be the first derivative of -t**5/40 - 7*t**3/3 + t**2/2 - 4. Let w(n) be the third derivative of d(n). Calculate g(w(s)). -99*s**2 Let b(u) = -272*u - 12*u**2 + 546*u - 274*u. Let l(t) = 2*t. Let x(w) = w. Let o(a) = -2*l(a) + 3*x(a). What is o(b(q))? 12*q**2 Let h(u) be the first derivative of -u**6/180 + 19*u**3/3 + 6. Let w(m) be the third derivative of h(m). Let d(j) = -5*j. Give w(d(f)). -50*f**2 Let h(f) = f**2. Let m be (-1 + -3)/(1 - 3). Let o(l) = -l**2 + 9*l**2 - 9*l**m - 4*l**2. Give o(h(b)). -5*b**4 Let g(a) = -32*a**2. Let z(c) = -c**2. Let x(l) = -g(l) + 6*z(l). Let n(u) = -2*u. What is x(n(y))? 104*y**2 Let a(h) = 23*h**2. Let v(u) = 8482*u. What is v(a(k))? 195086*k**2 Let z(g) be the third derivative of g**4/12 - 3*g**2 - 22. Let t(y) = 2*y**2 - 6*y. Give t(z(h)). 8*h**2 - 12*h Let k(a) = -2*a + 3 + 6 - 8*a + 5*a. Let u(p) = -2*p. Calculate u(k(d)). 10*d - 18 Let d(h) = 35*h. Let m(u) = -14505*u. Calculate m(d(z)). -507675*z Let o(x) = -x**3 - 15*x**2 - 15*x - 12. Let p be o(-14). Let d(t) = 8*t + 5*t - 13*t - 3*t**p. Let m(f) = -6*f**2. Calculate d(m(g)). -108*g**4 Let w be (-6)/10 + 816/60 + -12. Let h(j) be the first derivative of 0*j**2 - w + 4/3*j**3 + 0*j. Let x(z) = 2*z. What is x(h(d))? 8*d**2 Let j(c) = -2*c - 13266. Let o(q) = -3*q. What is j(o(t))? 6*t - 13266 Let a(x) = x. Let t(q) = 586*q**2 + q - 4. What is t(a(h))? 586*h**2 + h - 4 Let j(t) = 32*t**2 + 2 + 614*t + 13*t**2 - 1227*t + 613*t. Let u(b) = -b. Determine u(j(q)). -45*q**2 - 2 Let a(s) = -708*s**2 - 3*s + 715*s**2 - 10*s. Let q(k) = -k**2. Calculate a(q(r)). 7*r**4 + 13*r**2 Let o(x) = -7*x. Let l(g) = 6*g + 10. Let d(f) = 42*f + 72. Let q(s) = 5*d(s) - 36*l(s). What is o(q(n))? 42*n Let z(n) = -2*n. Let d(f) = 4. Let g(r) = 374*r + 5236. Let q(m) = 2618*d(m) - 2*g(m). Determine q(z(p)). 1496*p Let r(n) = 2*n**2. Let g(p) = 260*p + 317*p - 159*p. Determine g(r(q)). 836*q**2 Let z(k) = 6*k. Let b(y) = 5*y. Let u(f) = -5*b(f) + 4*z(f). Suppose -l + 5 + 3 = 0. Let q(h) = -5*h - h + l*h - 4*h. Calculate q(u(g)). 2*g Let k(a) = a - 6. Let j(m) = 2*m**2 - 1951*m - 3. Calculate k(j(u)). 2*u**2 - 1951*u - 9 Let h(t) = 133684*t**2. Let s(q) = q. Calculate s(h(m)). 133684*m**2 Let v(p) = 6*p. Let u(o) = o. Let l(q) be the third derivative of -q**5/30 - 5*q**4/12 + 11*q**2. Let s(j) = 2*l(j) + 2
{ "pile_set_name": "DM Mathematics" }
rs picked without replacement from mmmkmmmmkmmmmmkkmkm. 140/2907 What is prob of sequence ddk when three letters picked without replacement from {d: 2, k: 1, f: 1}? 1/12 What is prob of sequence hhdh when four letters picked without replacement from ddyyhydyydyhddyyyhyh? 2/1615 What is prob of sequence yyy when three letters picked without replacement from tmmttymtyymmmtmmt? 1/680 Calculate prob of sequence rn when two letters picked without replacement from nnrrnrnnnnrr. 35/132 Three letters picked without replacement from {y: 4, l: 2, r: 12, p: 1}. What is prob of sequence prr? 22/969 Calculate prob of sequence kpa when three letters picked without replacement from {a: 4, w: 1, k: 2, p: 1, h: 1, l: 3}. 1/165 Three letters picked without replacement from llsqslqlflflq. What is prob of sequence qlq? 3/143 Two letters picked without replacement from bukkbulkbfkbkbb. Give prob of sequence bb. 1/7 Three letters picked without replacement from nenennnnennn. Give prob of sequence eee. 1/220 Four letters picked without replacement from ttvbvtztsvdbsvv. Give prob of sequence svvt. 4/819 Three letters picked without replacement from zlzmfzzq. What is prob of sequence lzf? 1/84 Calculate prob of sequence cx when two letters picked without replacement from cxxiiqiixxx. 1/22 Four letters picked without replacement from {i: 1, n: 1, x: 3, q: 3, w: 5}. What is prob of sequence iqwx? 3/1144 What is prob of sequence nn when two letters picked without replacement from nnnnrrrrnnrrnnnnnnn? 26/57 Three letters picked without replacement from {c: 1, k: 3, d: 1, u: 6, x: 2}. Give prob of sequence uxx. 1/143 What is prob of sequence oy when two letters picked without replacement from yooo? 1/4 Calculate prob of sequence rf when two letters picked without replacement from {h: 1, r: 6, f: 3, w: 5, g: 3, i: 1}. 1/19 Two letters picked without replacement from iizuiugi. Give prob of sequence ui. 1/7 Three letters picked without replacement from {n: 2, o: 3}. Give prob of sequence non. 1/10 Four letters picked without replacement from {g: 4, c: 4, j: 4, b: 1, t: 4, o: 3}. Give prob of sequence btct. 2/4845 Three letters picked without replacement from {p: 5, u: 1, r: 4, f: 1, z: 1}. Give prob of sequence upz. 1/264 Calculate prob of sequence jb when two letters picked without replacement from {j: 10, b: 2}. 5/33 What is prob of sequence ar when two letters picked without replacement from {u: 2, n: 1, a: 3, s: 2, r: 4, x: 3}? 2/35 Two letters picked without replacement from xucurcb. What is prob of sequence cr? 1/21 Calculate prob of sequence dpj when three letters picked without replacement from {q: 3, d: 2, a: 4, p: 1, j: 2, r: 3}. 2/1365 Two letters picked without replacement from {o: 5}. What is prob of sequence oo? 1 What is prob of sequence zz when two letters picked without replacement from zzzzxxxxxxxzzxzxzz? 4/17 Three letters picked without replacement from {q: 1, u: 2, m: 4, k: 4}. What is prob of sequence muk? 16/495 Calculate prob of sequence eno when three letters picked without replacement from {n: 1, s: 8, o: 1, h: 6, e: 2}. 1/2448 Calculate prob of sequence bz when two letters picked without replacement from {j: 2, b: 1, z: 1, t: 2, c: 1, f: 2}. 1/72 Two letters picked without replacement from yqyqyqfyatqqytqa. What is prob of sequence yq? 1/8 What is prob of sequence cky when three letters picked without replacement from {r: 5, y: 2, k: 3, c: 3}? 3/286 Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkk. 1 Two letters picked without replacement from {l: 18, e: 1}. Give prob of sequence le. 1/19 Four letters picked without replacement from tmaasatajs. Give prob of sequence jmst. 1/1260 Calculate prob of sequence ax when two letters picked without replacement from {x: 2, o: 2, f: 1, d: 6, u: 3, a: 1}. 1/105 Three letters picked without replacement from {g: 4, l: 5, k: 2, r: 2, d: 4, j: 2}. Give prob of sequence jdj. 4/2907 What is prob of sequence thht when four letters picked without replacement from hthtttthhhhh? 7/99 Two letters picked without replacement from qeo. Give prob of sequence oq. 1/6 Two letters picked without replacement from {c: 3, p: 2}. Give prob of sequence cc. 3/10 Two letters picked without replacement from {s: 1, n: 1, o: 1, j: 3, v: 12, y: 1}. Give prob of sequence jo. 1/114 What is prob of sequence qc when two letters picked without replacement from {x: 4, c: 6, q: 3}? 3/26 Two letters picked without replacement from {q: 2, x: 1}. Give prob of sequence qq. 1/3 Four letters picked without replacement from ofhfrhohnhon. What is prob of sequence fron? 1/990 Calculate prob of sequence xt when two letters picked without replacement from {p: 1, x: 2, t: 1}. 1/6 Two letters picked without replacement from {h: 5, l: 4, x: 8}. Give prob of sequence xl. 2/17 Four letters picked without replacement from {b: 3, h: 1}. Give prob of sequence hbhb. 0 Two letters picked without replacement from mnjjmwnjwnnmn. Give prob of sequence wn. 5/78 What is prob of sequence vv when two letters picked without replacement from {p: 8, r: 5, q: 1, v: 4}? 2/51 Three letters picked without replacement from {j: 2, f: 1, u: 2, i: 1}. Give prob of sequence fuj. 1/30 Calculate prob of sequence mfj when three letters picked without replacement from fmfotjojolj. 1/165 What is prob of sequence zxxz when four letters picked without replacement from xzzzzxz? 1/21 Four letters picked without replacement from nsxnnsnx. Give prob of sequence snsx. 1/105 Three letters picked without replacement from uuuutmtuuutttttnutt. Give prob of sequence unm. 4/2907 Calculate prob of sequence tgn when three letters picked without replacement from {g: 1, n: 2, t: 4}. 4/105 Three letters picked without replacement from {b: 5, h: 1, i: 3}. What is prob of sequence ibi? 5/84 Four letters picked without replacement from {h: 1, a: 1, s: 1, z: 2, n: 1, t: 1}. What is prob of sequence nzhs? 1/420 Three letters picked without replacement from iivvviivvvivvv. Give prob of sequence ivi. 15/182 Two letters picked without replacement from dqewedwweledwwwewqw. What is prob of sequence dl? 1/114 Calculate prob of sequence wwwc when four letters picked without replacement from wwwcwwcwwc. 1/8 Two letters picked without replacement from xswwawsxwaswwaaaws. Give prob of sequence sx. 4/153 Two letters picked without replacement from cccccccccc. Give prob of sequence cc. 1 Two letters picked without replacement from {o: 4, m: 10}. What is prob of sequence mm? 45/91 Calculate prob of sequence eteh when four letters picked without replacement from ethhthehhhhhhhhhth. 13/12240 Calculate prob of sequence mcm when three letters picked without replacement from ccmmmmmmmccc. 7/44 Calculate prob of sequence gl when two letters picked without replacement from llglllllllll. 1/12 What is prob of sequence jja when three letters picked without replacement from {b: 1, a: 1, j: 3}? 1/10 Calculate prob of sequence cv when two letters picked without replacement from {k: 2, v: 1, c: 1, y: 1, p: 1, w: 1}. 1/42 Three letters picked without replacement from niwiinibiipnwipbbwl. What is prob of sequence pwp? 1/969 Calculate prob of sequence ne when two letters picked without replacement from {v: 2, g: 1, n: 1, e: 2}. 1/15 Two letters picked without replacement from gvxug. What is prob of sequence xu? 1/20 Three letters picked without replacement from rdydffdyyddyerd. Give prob of sequence ffr. 2/1365 What is prob of sequence oqjj when four letters picked without replacement from oqjqqjjjoqojjoj? 4/195 Four letters picked without replacement from vhvv. What is prob of sequence vvvh? 1/4 Two letters picked without replacement from mnmpkkpmkkkp. Give prob of sequence mk. 5/44 Three letters picked without replacement from {d: 5, r: 3, k: 2}. What is prob of sequence krr? 1/60 Three letters picked without replacement from {a: 3, x: 3, p: 1}. What is prob of sequence aap? 1/35 What is prob of sequence lt when two letters picked without replacement from lttttlttttttlt? 33/182 Calculate prob of sequence ze when two letters picked without replacement from {e: 6, f: 2, z: 1, l: 3}. 1/22 What is prob of sequence uhv when three letters picked without replacement from cvuuufvuhf? 1/90 What is prob o
{ "pile_set_name": "DM Mathematics" }
-4? n Suppose -2*g - 5 = -p + 1, -12 = 4*g. Let y be (13/(-12) + 1)*-62. Let k = y + -14/3. What is the closest to -2 in p, 2/19, k? p Let l = 797/3 - 265. Let s = -0.2 - -0.6. What is the nearest to l in 0.3, 5, s? s Let y = 20 + -16.2. Let o = y - 4. Let f = -5 - -5. Which is the nearest to 0? (a) f (b) o (c) 3 a Let y(d) = -d**2 + 5*d + 4. Let z be y(0). Let n be ((-135)/6)/9*-2. What is the closest to 0.1 in 9, z, n? z Suppose -2*d - 16 = -4*n, 35*n - 4 = 34*n - 5*d. What is the nearest to -5/4 in 2/11, n, 5? 2/11 Let x(p) = p**3 + 8*p**2 - 9*p - 1. Let j be x(-9). What is the closest to j in 6/7, -3/4, 3? -3/4 Let a = -13.31 + 13.4. Let u = 0.046 - -1.954. What is the closest to -1/2 in a, 0, u? 0 Let t = 1 - 1. Suppose 0 = -2*q + 29 - 27. Let z be (-261)/(-63) + -4*q. Which is the nearest to t? (a) 2 (b) z (c) -1 b Let t = -0.21 - -5.21. Let k = -75 + 74. What is the nearest to k in -3/7, -1/2, t? -1/2 Let x = 122 - 125. Which is the nearest to -5? (a) 3/7 (b) 23 (c) -1 (d) x d Let n = -18.3 - -1.3. Let r = 24.5 + -7.6. Let b = n + r. What is the nearest to b in -0.4, -1/5, -1/7? -1/7 Let v = -4 + 3. Let o = 0.128 - 0.199. Let b = -0.171 - o. What is the nearest to -2 in v, 1/3, b? v Let t be 0*(3 - 1/(-1) - 3). Suppose -5*l = -0*l - 4*g - 4, t = 5*g - 20. What is the closest to -2 in 1, -4, l? -4 Let b = -0.0012 + 0.0112. What is the closest to -1 in -4, b, 3, 0.2? b Let t = 1.4 - 1.8. Let f = 1054 + -3163/3. Let r = 17 - 12. What is the closest to f in t, r, -3? t Let f be (-3)/(-5) - ((-1314)/810 - -2). Let y = 0.09 - -1.91. Let l = -1 + 0. Which is the closest to l? (a) 5/2 (b) y (c) f c Let l = -3 - -2. Let v = -20312 + 20311.5. Which is the nearest to 2? (a) -4 (b) v (c) l b Let f = 0.0348 - -0.0652. Let s(p) = p + 8. Let x be s(-4). Which is the nearest to f? (a) -5 (b) x (c) 0 c Let p = -1688 - -1693.009. Let m = 0.009 - p. What is the nearest to 1 in -2/5, m, 1/9? 1/9 Let a be 4/(-8)*(-3 - (-13)/2). What is the closest to -3 in 2/3, a, 0.4? a Let r = 0.5202 - 0.1202. What is the nearest to r in 4, -4, -1? -1 Let h = 3.26 + 0.74. Let r = -0.9 + 1. Let f(i) = -i**2 + 5*i - 3. Let y be f(4). Which is the closest to r? (a) -0.2 (b) h (c) y a Let y(v) = v**2 - 14*v + 1. Let w be y(-12). Let g = w + -4067/13. What is the nearest to -1 in -3, 12, g? g Let c = -4772/3 - -1605. Let s = -127/9 + c. Let t = 23 + -20. What is the closest to -2/5 in t, s, 0.2? 0.2 Let j = -1.7 + 1. Let l = -0.9 - j. Let z = -21.4 - -21. What is the closest to l in -1, z, 4? z Let m = 2729921/1806 - 10572/7. Let o = m + 3/86. What is the nearest to 0.1 in -3, o, 0.2? 0.2 Let p = 385/1773 - -1/197. Suppose 3*w + 5 + 6 = t, -5*t - 5 = 5*w. Which is the nearest to -1? (a) p (b) 1 (c) t a Let x = 500 + -1498/3. Which is the closest to -1? (a) -4 (b) x (c) 0.4 (d) -2/5 d Let p = 2.1 - 2. Let v = 0.53039 + -0.03039. Which is the nearest to -4? (a) v (b) p (c) -3 c Let p be 20/(-60)*(-1)/(4/6). Let o = -177 + 176. What is the nearest to 0.1 in -0.11, o, p? -0.11 Let g be ((-1)/(-3))/(4/(-6)). Let y = -138122399/330 + 418552. Let z = y - -13/22. What is the closest to g in 1/3, -5, z? z Let j = 339/2 - 177. Let m = j - -8. Let r = 7 - 7.3. What is the closest to -1 in m, r, -5? r Let h = -3 + -1. Let w = -0.2 - -0.2. Let l = -8.78 - -5.78. What is the closest to -0.3 in l, h, w? w Let v = -136/3 - -661/12. Let r = -359/36 + v. Let m = -71.93 - -69.93. Which is the closest to -2/7? (a) 5 (b) r (c) m b Let y be (-3 - -2) + 124/177. Let x = 778 + -45900/59. Let n = y - x. Which is the closest to -1? (a) n (b) -5 (c) -0.3 a Let x = -257 - -260. What is the nearest to 1 in x, 4, 13? x Let o be 1139/7 + 4/(-4). Let t = o - 162. Let p = -7 + 7.1. What is the nearest to p in 3/5, 5, t? t Let t = 10 - 10. Let p be (-1*4/(-12))/1. What is the nearest to p in 1/10, t, 0.5? 0.5 Let r = 455 - 455. What is the closest to 9 in r, -5, 4? 4 Suppose -66*y + 65*y = -4*n - 22, -5*n = -y + 28. Suppose 0 = f + 2 - 6. Which is the nearest to -1/2? (a) 0 (b) f (c) y a Let f = 12 - 11.7. Suppose 0 = 2*z + 3*x - 7 - 11, -5*z + x = -11. Which is the nearest to 0? (a) 3/4 (b) f (c) z b Let m be (-2)/5 - 16/360*-6. Let k = 1.98 + -0.98. Which is the nearest to k? (a) -1 (b) m (c) -5 b Let w = 19.09 - 19.1. Which is the nearest to -2? (a) -5 (b) 5/2 (c) w c Let b = 0.1023 + -0.0023. What is the nearest to b in 1.2, -5, 5/6? 5/6 Let y = -241/6 - -40. Let r = -25 - -29. Suppose 5*b - 5*t = 10, 0 = -r*b - 4*t - 0 - 16. What is the closest to -3/7 in -1/4, b, y? -1/4 Let d = -0.1 + 0. Let p(y) = y + 1. Let k be p(-3). Suppose -4*n = -5*j - 6, -2*j - 7 = 2*n + 17. Which is the closest to d? (a) 1 (b) j (c) k a Let r be 2*((-12)/(-30))/((-2)/(-5)). What is the closest to r in 0.3, 5, 2/3? 2/3 Let u = -32 - -32. Let n = -157 - -146.3. Let x = n + 10. What is the nearest to u in -2/11, -0.1, x? -0.1 Let y be ((-1 - 10) + 3)/(-2). Let w = -31.1 + 4.1. Let p = -28 - w. What is the closest to -0.4 in -4, p, y? p Let b = 53 - 53.1. What is the nearest to -0.2 in -0.06, b, -2/15? -2/15 Let g be (1 - -1)*2/(-8). Let d = 16742 + -16746. Let l = -0.1 + 0.1. Which is the nearest to -2/7? (a) g (b) d (c) l a Let j = 7.1734 + -2.1734. Let o be (-4)/6*(-12)/2. Let d be 46/56 + (-1)/o. Which is the nearest to -2/3? (a) -0.2 (b) d (c) j a Let u = 1.93 + 0.07. Let v = 1 - 2. What is the closest to v in u, 0, 1/4? 0 Let w = 10.68 - -88.52. Let d = w - 99. What is the nearest to d in 1, -0.1, 2? -0.1 Let i be 660/(-111) + -11 + 17. Which is the closest to 0? (a) i (b) 0 (c) -5 b Let k(x) = x**3 - 11*x**2 + 20*x - 13. Let g be k(9). Suppose g = 4*q - 3*q. Which is the closest to -1? (a) 4/7 (b) 2 (c) q a Let f = -1056 + 1055.7. Which is the closest to -1? (a) -9 (b) 0 (c) f (d) 1/4 c Let t be (-9)/648*-8*6/5. Which is the closest to 0.2? (a) t (b) -2/7 (c) 1.2 (d) 3 a Let q = -0.4 - -1.4. Let j(b) = b**3 - b**2 - 6. Let h be j(4). Let z = 42 - h. What is the nearest to z in q, -4/5, -0.5? -0.5 Let h = 1210/9 + -134. Let i = 7 - 6.7. What is the nearest to 1 in -1, i, h? h Let n be ((-6)/(-4) - 2) + 60/20. Let b = -1 - -3. What is the nearest to 2 in b, n, 0? b Let u = 0.91 + -1.01. Let o(k) = 2*k - 6. Let x be o(5). What is the closest to -0.1 in u, -1/2, x? u Let i = -17/310 - 259/930. Let q = -5.6 - -6. What is the nearest to i in 5, q, 6? q Suppose 46 = 5*l - 2*o, 0*l + 4 = -l - 4*o. Let s be -1*((-10)/l - -1). What is the closest to -0.1 in -4/5, -1/3, s? -1/3 Let g = -3 - -3.1. Suppose -11*l - 866 = -921. What is the nearest to g in 0.3, l, -3/8? 0.3 Let o = 0.29 - 12.29. Which is the nearest to 0.2? (a) 4 (b) 3 (c) 2/17 (d) o c Let i be (-2 + 9/4)*(-3 + 0). Let f(b) = b**3 - 14*b**2 + b - 12. Let p be f(14). What is the closest to -0.1 in -2, p, i? i Let q = -86 - -83.8. Let d = -6.2 - q. Which is the closest to 1? (a) 4/5 (b) d (c) 5/4 a Let q = 6.2 - 6.232. What is the closest to 1 in 0.2, q, 3? 0.2 Let y = 244 - 238. What is the closest to -1 in y, 1, -0.2, 2? -0.2 Let q = -0.29 + -0.21. Let b = 0.29 - -1.71. What is the closest to -2/5 in q, b, -2/3? q Let n = 0.014 - 31.014. Let i = -31.2 - n. Let z = 2.8 - i. Which is the closest to -2/5? (a) 0 (b) z (c) 0.4 a Let s = -0.0534 + 74.2534. Let i = -74 + s. Let l = -0.3 + 0.1. What is the nearest to l in -2, i, 3? i Let v = 0.2 - -0.3. Let o be (-1)/(-5 - 156/(-30)). Let f be -2 + 5 - 1 - 2. What is the closest to v in f, o, -2? f Suppose 66 = 16*j + 2. Which is the closest to 1? (a) j (b) 10 (c) 0.11 c Let w = -0.3 - 17.7. Let n = 23 - w. Let f = 40.5 - n. Which is the nearest to -2/3? (a) -0.2 (b) f (c) 0.5 b Let x = -1919.9 + 1920. Which is the closest to -1? (a) 0.4 (b) x (c) -2/499 (d) -0.3 d Let l = 0.1 + -0.2. Let i = l + -0.1. Let r be (-5)/(5/6) + 40/6. What is the closest to r in 0.5, i, -2/9? 0.5 Let i = -233.6 + 210. Let t = -23 - i. Which is the closest to -1? (a) 3 (b) t (c) 1 b Let u = -3 + 2. Suppose 0 = -g + 75 - 73. Let h = -15/8 + g. Which is the nearest to u? (a) -4 (b) h (c) -5 b Let o = 1.5 + 0.5. Let x = 115 - 115.145. Let u = -1.855 + x. Which is the closest to -0.1? (a) u (b) o (c) -0.2 c Let r = -59 + 355/6. Let s = 2.3 - 2. Which is
{ "pile_set_name": "DM Mathematics" }
is the closest to 1/4? (a) -3 (b) 2 (c) l b Let j = 0.39 - 0.19. Which is the nearest to j? (a) 2 (b) 0 (c) 3 b Let s be 3 + -3 + 4/(-1). Which is the nearest to -0.1? (a) -1 (b) s (c) -5 a Let r = -30 + 30.03. Let k = 3 - 4. Which is the closest to k? (a) 4 (b) -0.1 (c) r b Let i = 0.05 + -0.35. Let o = -0.2 - 0.8. What is the nearest to 2/3 in o, i, -3? i Let l be 2/(-5) - 297/(-405). What is the closest to l in 1/5, -3, 0.4? 0.4 Let p = -2.4 + -0.6. Let s be ((-77)/14 - -5)*2/(-7). What is the closest to 0 in -5, p, s? s Let o = -6.3 - -5.3. Which is the nearest to o? (a) 0 (b) 0.4 (c) 0.1 a Let m be ((-2)/(-5))/(428/20). Let p = -192/1177 - m. What is the closest to 0 in 0.3, 0.2, p? p Let w = -30.96 + 26. Let z = w + -0.04. What is the closest to -1/3 in z, -0.5, 1? -0.5 Let z be (-2)/((-8)/(-12) - 1) + -4. Which is the closest to z? (a) -0.5 (b) 4 (c) -2 b Let w = -4 - -41/10. Suppose -3*n = n + 8. Let q = -919/7 + 131. What is the closest to -1/4 in q, w, n? q Let k = 1/45 - 56/495. Let p = 0.5 + -3.5. Let n = p + 5. Which is the nearest to -1? (a) k (b) n (c) 1 a Let n = -5/23 - -48/115. What is the closest to 1 in -5, n, -0.4? n Let b(m) = -m**3 + 4*m**2 + 6*m - 1. Let u be b(5). Let q = u - 6. What is the closest to -2/3 in q, -1/6, 0.2? -1/6 Let s = -2.01 - -0.01. Let p = -0.026 + -2.074. Let n = s - p. Which is the closest to 0? (a) n (b) -2/15 (c) 0.3 a Let j = 0.13 - 0.53. Let x be (4/(-30) - 0)/1. Which is the closest to -1? (a) x (b) j (c) -5 b Let a = 0.3 - 2.3. Let n = 44.3 + -47. Let v = n + 3. What is the closest to -1 in 2, v, a? a Let g = 3 - 2.9. Which is the nearest to g? (a) -2/7 (b) -1/5 (c) -2 b Let m = 1 - 2. What is the nearest to m in -4/3, -4/9, -3/5? -4/3 Let n = 27 - 103/4. Let p(q) = q**3 - 16*q**2 + 30*q - 23. Let u be p(14). Which is the nearest to 0? (a) u (b) 0.5 (c) n b Let j = -0.09 + -0.51. Let o = 0.5 + j. What is the nearest to 2/5 in o, 0.2, -1/9? 0.2 Let w be ((-9)/15)/((-81)/(-90)). What is the closest to -1 in 2/13, -4/5, w? -4/5 Let k = 22 - 17. What is the nearest to 52 in 2/7, k, 3/2? k Let h = 0.1 + -0.09. Let t = h - -0.29. Which is the nearest to 1? (a) 1/5 (b) t (c) 4 b Suppose -3*h = 3*n - 15, 5*h + 4*n - 20 - 9 = 0. Which is the nearest to 1/4? (a) 0.1 (b) h (c) 2/11 c Let j = 0.3 + -0.5. Let h = 1.4 - 0.4. What is the closest to h in -5, j, -3? j Let o = 5.85 + -0.7. Let a = 0.15 - o. What is the closest to 0.4 in a, 0, 1? 0 Let w = -54.7 - -49. Let h = w + 1.6. Let f = 0.1 + h. What is the nearest to 0.2 in f, 5, 0.2? 0.2 Let v = -0.22 - 2.78. Suppose -z - 3*z = -2*b + 12, 4*z - 2 = -5*b. Let r be 1/(-21) + b/(-7). What is the nearest to r in 2, -2, v? -2 Let r(y) be the third derivative of -y**4/24 + y**3/6 + y**2. Let j be r(-4). Let v be (-3 - -1) + (-10)/j. What is the closest to -1 in -5, v, 0.1? 0.1 Let j = -0.1 - -0.1. Let w = -8.81 + -0.19. Let q = w - -8.5. What is the nearest to j in q, -0.2, -2/25? -2/25 Let a be (0 + 0)*1*2/(-2). What is the closest to -2/3 in a, -1/7, -0.12? -1/7 Let t = 846/5 + -170. What is the closest to 0 in t, -1/2, 1/4? 1/4 Let r = 59 + -1005/17. Let m = -6 - -6.3. Let g be (-3)/6 - (-14)/12. Which is the nearest to -0.1? (a) g (b) r (c) m b Let n be 0 - -2 - (-88)/(-48). Let t = 6 - 5.7. What is the nearest to 1 in -0.5, n, t? t Let n = 191/4 + -48. Let a be ((-4)/(-5))/((-1)/(-5)). What is the nearest to n in a, 3/4, 0? 0 Suppose n + 3*f + 9 = 0, 4*n + 0*f = 4*f + 12. Which is the nearest to -5? (a) 0.5 (b) 2 (c) n c Let s be ((-7)/2 - 0) + 2. Let q = 0.06 - -1.14. Let w = 3.8 + q. What is the nearest to 1 in -3/5, s, w? -3/5 Let j be 64/(-96) + (1/(-3))/1. What is the closest to j in -1, -3, 5? -1 Let z = 0.01 - -0.09. Which is the closest to z? (a) 0.3 (b) 1/3 (c) 5 a Let s = -10.1 - -10. Let q = -0.05 + -0.35. What is the closest to 0.1 in q, s, 1/2? s Let r = 152.8 - 138. Let l = 15 - r. Let o = 0 - -0.4. Which is the closest to 0.1? (a) l (b) o (c) -2/3 a Let a be 1 - (12/5 - 1). Let p = 9.99 - -0.01. Let u = p - 10. What is the nearest to u in 0.3, a, 2/11? 2/11 Suppose -4*p = -5*y - 25, -2*y + 0*y + 3 = p. Suppose 5*w - 4*j - 22 = 0, -3*w - w + 23 = -p*j. Which is the closest to 0? (a) w (b) 4 (c) 3 a Suppose 0 = 3*w + 6 - 3. Which is the nearest to w? (a) 0.2 (b) -1 (c) 4 b Suppose 0 = 5*a - 5 - 10. What is the closest to 1 in 0.3, 2, a? 0.3 Suppose 0 = -2*g - 28. Let j = g + 29/2. Let d = -1 - -3. Which is the nearest to j? (a) 1/3 (b) d (c) 3 a Let y = 48 + -338/7. What is the closest to y in -0.2, -0.3, 4? -0.3 Let h = -0.3 - 0.7. Let m = 35.8 + -36. Let q = m - 2.8. What is the nearest to h in 1/6, q, 0.2? 1/6 Let m = -1 - -0.9. Suppose 6*s = 4*s + 22. Let y = s + -13. What is the nearest to m in -2/11, y, -0.4? -2/11 Let u = -4.1 - -0.1. Let h be 4/(-6) + (-1 - -1). What is the closest to -3/7 in -5, u, h? h Let c be (-576)/(-140) - 4 - 4/10. What is the closest to 0.1 in 0, -1/9, c? 0 Let j = -1.94 - 0.06. Let o = -0.926 - 0.074. What is the closest to 1 in o, j, 3/10? 3/10 Let k(j) = 6*j - 127. Let u be k(21). Which is the closest to 5? (a) -0.4 (b) u (c) 0.1 c Let y(g) = -g**2 - 8*g + 32. Let h be y(-11). Let r = 5.3 + -0.3. What is the closest to 0.2 in h, -4, r? h Let x = -57.9 + 58. Which is the nearest to x? (a) 4.4 (b) 2/7 (c) -3/2 b Let o = 3.96 - -0.04. Suppose -3*t + 34 = 1. Let k = -16 + t. What is the closest to 0.3 in o, 0.3, k? 0.3 Let t = 13 - 18. Suppose 6*u = u. Let v = 27 + -25. Which is the nearest to u? (a) t (b) -4/5 (c) v b Let w = -0.2 + 0.3. Let y = 13 - 8. Let g = y - 4.8. What is the nearest to g in w, 3/8, 2? w Let i = 227/4 - 57. Suppose 5 = -4*y - 3*w + 2, 5*y - 5*w = 5. Let r = 0.41 - 0.81. Which is the nearest to y? (a) 1 (b) i (c) r b Let n(k) = -k**2 - 3*k. Let l be n(-3). Let t be (-48)/26 - 0 - (28 - 30). What is the closest to l in -0.4, -2/7, t? t Let f = -1557 - -169711/109. Let k = f + 224/327. Which is the nearest to 0? (a) k (b) -1/2 (c) 0.4 c Let k = -11/28 - -1/7. Let i = 1.5 - 1. Which is the closest to k? (a) 5 (b) i (c) 4 b Let l = -24 - -28. Which is the closest to -1? (a) -3 (b) l (c) 5 a Suppose 3*m - 5*b - 27 = 0, 5*b = -11 - 4. Let a be (m/(-4))/((-3)/(-2)). Let l be 1/(1 + -7) - 0. What is the closest to 0.1 in -1, l, a? l Let n(w) = -w**2 + 8*w - 9. Let h be n(6). Suppose 0 = -2*a + 5*a - h. Let j = -0.16 + -0.04. What is the nearest to 2 in a, -4/9, j? a Let y = -1.3 - -0.3. Let j = y - 0. Let o = j - -2. Which is the nearest to -1? (a) 2/7 (b) 0.1 (c) o b Let o = -0.21 - 4.79. Which is the nearest to 2? (a) 2 (b) o (c) 3 a Let g = -2.178 + -0.712. Let o = -0.11 + g. Let m = 7 + -6. Which is the nearest to m? (a) -5 (b) o (c) -4 b Let u = 0.34 - 0.54. Which is the nearest to 4? (a) 1/3 (b) -4 (c) u a Let n(z) = 2*z**2 + 15*z - 1. Let t be n(-8). Which is the nearest to 0? (a) t (b) -5 (c) -0.3 c Let w(h) = h**2 + 2*h - 10. Let d be -3 + (-2)/3*3. Let a be w(d). Let v be (-28)/(-45)*3 - 2. What is the nearest to 1 in -2/13, v, a? v Let q(g) = -g**2 - 2*g - 1. Let y be q(0). Let z = 1436/63 - -16/9. Let d = 1562/63 - z. Which is the closest to y? (a) -1 (b) d (c) -0.2 a Let l = -2 + 1.8. Which is the closest to 1/2? (a) -2/3 (b) 5/2 (c) l c Let o = -13/11 - -69/77. Suppose 0 = d - 3*d + 4*f + 20, f = 5*d - 23. Suppose 4*q + 8 - d = 0. Which is the closest to q? (a) 3/2 (b) o (c) 5 b Let a(o) = -o - 13. Let j be a(-14). What is the nearest to j in -4, -0.01, 0? 0 Let f = 241 - 236.02. Let q = -0.02 - f. Let x(g) = -g**2 + 5*g - 1. Let o be x(5). What is the nearest to o in q, 1/9, -0.1? -0.1 Let i = -11/6 - -13/6. Let x = -164.84 - -160. Let z = x + -0.16. What is the closest to i in -2, 2/13, z? 2/13 Let s = 0.64 - 0.6. Let i = -0.96 - s. Let c = i - -0.7. What is the nearest to -2/5 in -4, c, 0.1? c Let j = 136105/71 + -1917. What is the nearest to -1 in j, 2, 4? j Let k = -9/4 - -2. Let w = 18 - 3. Let s be 0 - (24/w + -2). Which is the nearest to s? (a) k (b) 1/7 (c) 0.5 c Suppose -5*v + 4 = 3*s, -2*v + 0 = s - 1. Suppose 4*w - y = 1, s*y - 1 = 3*w - 4. Which is the closest to w? (a) 1 (b) 2 (c) 0.4 c Suppose 3*j = -4 - 2. Let m = 7/4 + j. Which is the closest to 0.2
{ "pile_set_name": "DM Mathematics" }
b + b = 5*k + 67, 0 = -4*b + 2*k + 174. Let v = 60 - b. Solve -4*c - 5*q - 25 = 0, -c - q + v = -4*c for c. -5 Suppose -7*n = -9*n - s, -2*s = -n. Solve -4*q - 4*y - 20 = n, 5*q - 2*y - 2*y - 2 = 0 for q. -2 Suppose -94 = -3*f - 76. Solve 5*o = -0*o + 3*j + 7, -4*o = -2*j - f for o. 2 Let a be (1 - 3)*2/(-4). Let t = 108 + -107. Suppose c - a = t. Solve -2*p = 3*p + v + 7, c*v + 4 = 0 for p. -1 Let t be (1 - 0 - -8 - 5) + 9. Solve 2*q + 5*s + 5 = 0, 0 = -4*q + s - t - 8 for q. -5 Let k(x) = x**3 - 1. Let q be k(2). Let o(r) = 31*r - 49. Let u be o(5). Let d = 116 - u. Solve 5*p = -10, -q*p - d = -c - 3*p for c. 2 Suppose -3*o - 10 - 98 = 0. Let a = -21 - o. Suppose -15 = 12*l - a*l. Solve l*z + 18 + 2 = 5*n, -2*z = 0 for n. 4 Suppose -3*c = 4*g + c - 84, c - 105 = -5*g. Solve -3*h + f = -2*f - g, -4*h = -f - 13 for h. 2 Suppose -7*d + 48 = 27. Solve -d*z - u - 2 = 0, -2*z + 2*u - 2 = 2 for z. -1 Let u(q) = q**3 + 9*q**2 - 13*q - 23. Let g(a) = a + 9. Let l be g(-19). Let v be u(l). Solve 0 = -2*o - 5*h + h - 8, -5*h = o + v for o. -2 Suppose 4*p = 2*p + 4. Solve -h + 3*k + 1 = -0, -4*k - p = -h for h. -2 Suppose -5*n + 4 = -4*b + 2*b, 4*n - 2 = b. Solve 23 = -5*t + q, n*q + 7 = -3*t + 4*q for t. -5 Let i be 2422/35 + 8/10. Suppose i = -n + 75. Suppose 6 = 3*k - 0. Solve 23 = 3*g - 5*l + k, g + n*l + 13 = 0 for g. 2 Let n = 17 - 15. Suppose 4*m + 3*s = 10, 6*m - 4*s = n*m + 24. Solve j - 3*j - 2*f = -4, 4 = 2*j - m*f for j. 2 Let v(f) = f**3 + 6*f**2 + 7*f + 3. Let t be v(-4). Suppose -4*c = 3*r - 66, 2*c - c - t = 4*r. Solve 0 = -5*s - c, -2*s - 4 = 2*w + 10 for w. -4 Let i be (-1)/(((-4)/(-18))/(30/(-45))). Solve -2*p = 5*d + 19, 0 = 5*d - d - i*p + 6 for d. -3 Let w(u) = u + 14. Let f be w(-9). Let q be (-313)/(-21) + 2/21. Solve b + 5*i = 5, f*b - 2*i + q = -7*i for b. -5 Let k = -11 + 3. Let x(o) = -2*o**2 - 17*o - 6. Let m be x(k). Suppose -m*y = -q - 4*q - 21, 18 = 2*y - 4*q. Solve r = -3*f - 3*r + 27, y*f + 3*r = 24 for f. 5 Suppose 5*d - 80 = -5*h, 2*h + 4*d = 5*h - 20. Let g = 22 - 62. Let u = g + 44. Solve -9 = 3*n, c = -c + u*n + h for c. 0 Let a = 5 + -2. Let l = 63 + -53. Suppose -4*q - 12 = -l*q. Solve u = -q*u + a, 5*u - 1 = 2*j for j. 2 Let n be (11 - 13)*(2 - 0/1). Let l be 0*((-5)/n - 21/28). Solve 0 = -3*p + 5*z + 22, l = 2*p - 4*z + 3*z - 3 for p. -1 Let q(w) = -w**3 - 9*w**2 - 15*w - 2. Let s be q(-7). Solve 3*j + 4*h - s = 5*h, 0 = j + 5*h - 23 for j. 3 Suppose -103*w + 12 = -99*w. Solve -2*d - 19 = -w*d + 4*i, 3*d - 2*i - 7 = 0 for d. -1 Let z = -3 - 4. Let g(q) = 6*q + 5. Let j(y) = -13*y - 11. Let x(a) = z*g(a) - 3*j(a). Let k be x(-7). Solve 4*p + 8 = -5*n, 2*n = 3*n - 5*p + k for n. -4 Suppose -4*k + 9 = -7. Let c(m) = m**2 - 3*m - 1. Let i be c(4). Solve k*y - 16 = 5*l, -i*y + 12 = l + 2*l for l. 0 Let a be ((-144)/(-30))/(-8) - 13/(-5). Let f(q) = q**2 - 2*q. Let y be f(a). Solve n + j = y, 6 = -5*n + 2*n - j for n. -3 Let r = -63 + 64. Let s(v) = 4*v**3 + 3*v**2 - 3*v + 1. Let c be s(r). Solve -q + 5 = -c*t, -2*q - t = -7*q + 25 for q. 5 Suppose 6*d + 605 = d. Let m = 134 + d. Solve 4*v = w + m, 4*w + 24 = 4*v - 2*v for v. 2 Suppose 4*k = 4*l - 2*l + 4, 3*l + k - 1 = 0. Suppose 4*a - 20 = -l. Solve 0 = 3*v + a*r + 27, 7*r - 4*r = -3*v - 21 for v. -4 Suppose -3*l = -c - 4*l - 1, -2*c + 3*l = -8. Let v(t) = 6*t**2 + 2*t - 3. Let k be v(c). Solve 3*d - 4*d + 15 = -k*s, -3*d + 3*s = -21 for d. 5 Suppose 0 = 2*j - 6 - 10. Suppose 2*s - 6*s + j = 0. Let k(r) = -r**3 + 3*r**2 - r + 2. Let x be k(s). Solve -4*v = 5*l + 20, l + x + 0 = -v for l. -4 Let c = -77 + 150. Let s = 75 - c. Solve s = -2*k - 2*j - 2, 0 = 3*k + 5*j + 10 for k. 0 Suppose 77 = 4*b + u, -b = 3*u - 0*u - 11. Solve 0 = -4*m + 4*k + k + 16, 5*m - b = -5*k for m. 4 Suppose 0 = 2*c + 3 - 11. Let y be c - (1 + 0)*-1. Solve 2*p + 0*p + 10 = 0, 0 = 5*u - y*p - 15 for u. -2 Suppose 2*n - 3*n + 46 = 0. Suppose 5*r = n + 34. Suppose r*i - 28 = 12*i. Solve -3*l + i*l = 4*b + 8, -16 = 4*b for l. -2 Suppose 0 = -2*g - g + 9. Let f = 907 - 905. Solve -g - 3 = -2*d + f*b, 0 = d - 4*b - 9 for d. 1 Suppose -2*k + 11 = j + k, 4*k - 6 = 3*j. Suppose 27 = 4*r - 5*a, 5*a - 219 = r - 237. Solve -2*c - 15 = -r*b, 3*c - 5 = -j*b + b for c. 0 Let m be (-37)/13 - 1 - 2/13. Let y be 32/(-144) + m/(-18). Solve 2*k + 4*h - 24 = -2*k, 2*h - 10 = y for k. 1 Suppose -249*f + 250*f = 3. Let x = 4 - f. Solve -5*n + z - x = -25, -n - z = 0 for n. 4 Let v = 550 - 542. Solve -5*z = -t - 7, 2*t - 4 - v = -3*z for z. 2 Let g(o) = 1. Let s(u) = u**2 + 18*u - 15. Let l(r) = -2*g(r) + s(r). Let k be l(-19). Let n = 1 + 2. Solve 5*d + k*z = -18, 0 = n*z - 5*z - 8 for d. -2 Let n(g) = g**3 + 12*g**2 + 12*g + 15. Let f be n(-11). Solve -f*m = -3*h + 12, -2*m + 15 = -7*m - 3*h for m. -3 Let x be 5/5 + (0 - -3). Suppose 0*r - x*r - 1264 = 0. Let d be r/(-28) - (-4)/(-14). Solve -5*o + 0*o + 13 = -l, d = -5*l - 2*o for l. -3 Let f(k) = -k**2 - 6*k - 6. Let c be f(-4). Suppose -78 = -10*p + c. Solve -4*d = -2*d + p, -5*d = 4*m + 32 for m. -3 Let i = -55 - -84. Let a be (-4)/(-14) + 1146/(-42). Let o = i + a. Solve -5*v + 14 = -j - 0*v, o = -j + v for j. 1 Let s be ((-4)/3)/((-108)/405). Suppose -6 = -4*n + 2, -s*t + 26 = 3*n. Solve 3*l = -3*u + 9, -4*l = -9*u + t*u - 12 for u. 0 Suppose 5*n - 3*n - 10 = 0. Suppose -4*i - 40*u = -41*u - 7, 5*u - 5 = 0. Solve 0 = -5*a + n*p + 25, 0 = -i*a - 2*p - p + 5 for a. 4 Let f be 23 - (-6)/(-24)*8. Solve -5*b = 3*p + 17, -5*b - f = -3*p + 2*p for b. -4 Let n = -2359 - -2362. Solve -u - l - 7 = 0, -u + n*u = 3*l + 1 for u. -4 Let w = 1 - -2. Let i = -9 + 14. Suppose -25 = -i*k + 20. Solve -4*y - 10 = w*c, 3*y = 5*c + 2*y + k for c. -2 Suppose -5*y - 128 = -21*y. Solve -2*s + 18*a = 20*a + y, -5*s - a - 24 = 0 for s. -5 Suppose -x + 4 = 0, 5*x + 0*x = 4*p - 68. Let q = 22 - p. Suppose q = -2*a + 4*a. Solve a = -5*z - 5 - 10, 2*z + 3 = -3*l for l. 1 Let f be 2/1 - 8/(-4). Suppose -3*d = -f*d + 5. Let a be (0 - 1)/(d/(-15)). Solve y + 0*p - 6 = p, 22 = a*y - 5*p for y. 4 Let i = -11 + 16. Let s(u) = u**3 - 108*u**2 - 331*u - 217. Let z be s(111). Solve 5*n = -z*l - i, 0*n - 4*l + 1 = -n for n. -1 Let n be (-1)/(1 - 10/11). Let u = n - -16. Suppose -14*x = -9*x - 25. Solve r - x*t + 8 = -0*r, -2*t = -u*r + 6 for r. 2 Suppose 99 - 303 = -51*n. Solve 5*a + 22 = -2*r, 19 = 2*r - 5*r - n*a for r. -1 Let c(u) = -3*u**2 + 8*u - 9. Let a be c(4). Let w = a - -29. Solve 0 = -5*p - 5, 7*p - 4*p = w*x - 7 for x. 1 Suppose 9*h = -39 + 12. Let n be (-4 - h)*-1 + 1. Solve -q + 8 = -3*k, n*q + 4*k + 32 = -2*q for q. -4 Suppose 0 = 24*a - 38*a + 70. Let v = -5 - -9. Suppose -68 = -s + 4*w - 9, v*s - 236 = 5*w. Solve -4*l - 4 = -4*o, a*o + 22 = -3*l + s for o. 5 Let z(o) = -7*o**2 - 2. Let i be z(2). Let u = -28 - i. Let t(q) = -q**2 + 6*q - 4. Let n be t(u). Solve 4*f + n = 3*f - 4*g, g = -3*f - 12 for f. -4 Let o be ((-200)/(-60))/(25/45). Let b be (1 - 1 - -3)*1. Solve o*m + y + 22 = 2*m, -b = m - y for m. -5 Suppose 69 = 5*g - 71. Let l = -18 - -22. Solve -i - l*c = 3*i + g, -5*i - 11 = -3*c for i. -4 Let d = 22 + -32. Let s be d*(2 + -1 + -3). Let r = s + -12. Solve -6*t = -t - z - 16, 3*z = t + r for t. 4 Suppose 136*t - 1764 = 38*t. Solve -2*j + 4*g + t = 0, -j - 5*g - 21 = -2*j for j. 1 Let u = 188 + -183. Solve o = -p, -u*p - 2 = o + 2 for o. 1 Let p(i) = 8*i**2 + 8*i - 3. Let d be p(6). Suppose 0 = -10*f + f + d. Solve 4*c + 3*y = -11 + f, 13 = c + 4*y for c. 5 Let w(x) = -7 + 12 + x**2 - 10 + x. Let n be w(3). Solve 5*c + 4*d + 27 = n, -5*c + d = -5 for c. 0 Let y = 15 - 20. Let x be -2 - 0 - y - 1. Let o be (-18)/x*6/(-18). Solve 0*t + 3*t + o*u = 3, 5*t - 4*u = 14 for t. 2 Suppose 4*c - 22 = -5*w, -46*c + 47*c - 1 = w. Let l(s) = s**3 + s - 2. Let a be l(2). Solve 0 = -c*r - u + 9, -r + a = -4*u - 8 for r. 4 Let x(l) = -l**2 - l. Let q be x(-1). Let f be (-4)/10 - (-330)/75. Suppose -f = -2*k - 0*k. Solve -4*w + 3*i + 2*i - 24 = q, -9 = w - k*i for w. -1 Suppose -5*v = -2*d - 5, 2*v = 5*d - v + 3. Suppose k + 2*k + i - 2 = d, 0 = -k - 2*i + 4. Solve -3*s - 3*j + 12 = k, -s + j - 1 = -3 for s. 3 Let d = 135 + -133. Solve 0 = -d*o - 3*u + 4, o + 4*u - 14 + 2 = 0 for o. -4 Suppose -36*j + 35*j - 2*x = -6, 0 = -j + 2*x - 2. Solve -5*p + 3 = -4*a, 2*p + 0*p = j*a for p.
{ "pile_set_name": "DM Mathematics" }
be (-1 - -1)/(f + 1). Solve s = -3*p + 5*o + 14, 2*p + 20 = -6*o + 2*o for p. -2 Suppose -4*o - 3*r = -19, -2*o + 3*r + 1 = -4. Let x = 9 - 0. Let d = x + -6. Solve -11 = -t - o*u, -d*t + 2 = -u - 5 for t. 3 Let l = 34 - 13. Let i be 7/l - (-1)/(-3). Solve i = 3*h + 2*f + 10, -4*f - 20 = -h for h. 0 Suppose -z + 25 = 2*w, -2*z + 2*w + 19 = -19. Solve n - 5*n + z = r, 4*n - 16 = 4*r for r. 1 Let q(j) = j**2 + j - 7. Let m be q(0). Let y = -12 - m. Let z = y - -13. Solve 4*p = l + z, 0 = -p - 0*p + l + 2 for p. 2 Suppose 0*g = -4*g + 16. Suppose w + 2*p = 3*w - 10, 0 = g*p + 20. Solve w = 4*i + 3*v + 14, v - 5 - 22 = 5*i for i. -5 Suppose 2*j - 6 = 2. Suppose 0 = -j*f + 3*f + 25. Solve 3*m = -0*m - y - 4, f = -5*m + 2*y for m. -3 Let f = 42 + -38. Solve -2*w - 24 = -3*w + f*a, 0 = 4*w + 2*a - 6 for w. 4 Let a be 23/(-2) + (-1)/2. Let q = a + 33. Solve 5*l - q = -2*p + 6*p, 2*p - 4*l = -18 for p. 1 Let q be (1 - 2/4)*6. Suppose 0 = -2*c + q*o + 30 - 5, -3*c + 3*o + 42 = 0. Let a be (3 + 0 + -2)*3. Solve -a*d - 19 = -0*i - 2*i, i - c = 3*d for d. -5 Suppose 5*p - 11 = 14. Solve 0 = -l - o, -4*l + 21 + 15 = -p*o for l. 4 Let b(u) = u - 5. Let z be b(8). Let k = z + -3. Suppose v + 4 = 2*f, k = 2*v + 4 + 4. Solve 4*h - 5*a + 40 = f, 0 = -h - 2*a - 4 + 7 for h. -5 Let i be 6/5*50/5. Solve -i = 3*w - m, 5*w + 2*m = -3*m for w. -3 Let w(f) = f**3 + 7*f**2 + 4*f - 7. Let u be w(-6). Let a = 11 - 6. Solve 4*n + 0 + 20 = 0, u*y - a*n = 30 for y. 1 Suppose 2*o + 0*o - 34 = 0. Let r = -9 + o. Solve -2*b - 2*h = b - r, 4*b + 2*h = 10 for b. 2 Let c be -2 + (-3 - (-3 + -16)). Let y = c + -3. Solve l + y = 4*w, -w + 3 = -4*l + 4 for l. 1 Suppose 0 = -0*f - 3*f. Suppose -4*w + f*w - 4*j + 8 = 0, -5*j = -5*w + 30. Solve w*v - 2*a = -10, -v + a + 5 = -4*v for v. -2 Suppose -2*r + 3*r = 2*t - 3, r + 9 = 4*t. Suppose -d + 0*x + 19 = r*x, -5*d + 45 = 5*x. Solve 0*k - 2 = -2*u - 2*k, -4*u = -3*k - d for u. 1 Let w be (-21)/(-6)*(2 + 0). Solve 5*j - 2*j - w = -l, -4 = -4*j for l. 4 Suppose 0 = 5*a + 3*i - 14, -2*a + 2*i = 3*a - 24. Solve -a*y - 5*d + 0 = -7, -2 = -2*y - 4*d for y. 3 Suppose -o - 17 = -5*o - n, -11 = -4*o - 3*n. Solve -2*u + u + o*p = 17, 5*u + p - 19 = 0 for u. 3 Let i = 6 + 0. Let n = 2 - i. Let t = n - -5. Solve -p - 2 + 7 = -4*d, -d + p + t = 0 for d. -2 Let g(n) = n**3 - 13*n**2 + n - 11. Let b be g(13). Suppose -2*l - 15 = -7*l. Solve -4*p - 24 = -b*h, -h + 3*p + 23 = l*h for h. 2 Let n(l) be the first derivative of l**4/4 + 7*l**3/3 + 2*l**2 - 7*l - 1. Let i be n(-6). Solve h + 8 = -5*p, -i*h = -2*p + 5 + 8 for h. -3 Let v = 74 - 51. Solve -3*y + 4 = 4*z - v, 2*y + 5 = 5*z for z. 3 Let z(j) = -8 + 6 + 0 - j. Let t be z(-3). Solve -3*d + t = -2*d + 4*c, -d - 3*c = -2 for d. 5 Suppose 4*d - 8 = -0*y - 2*y, -d = 5*y - 2. Suppose -d*u = 3*u. Solve 2*b + 6 = 2*o, -o + u - 9 = 3*b for o. 0 Suppose -45 = -5*t - 4*y, -7*t = -6*t - 5*y - 9. Let i be ((-3)/2)/(t/(-12)). Solve -2*p = -2*g + 4, i*p - 4 = -2*p for g. 3 Let t(b) = -b**3 - 5*b**2 + 2. Let l be t(-5). Let v = l + 6. Suppose f = x, -2*f + 0*x - 5*x = -28. Solve 4*z - 4 = -n - 5, v = f*z + 4*n for z. -1 Suppose 4*v = -16, r + v - 2 = -3. Solve 0 = 4*b + 2*i + 16, b + 24 = -r*b - 4*i for b. -2 Suppose -5*f = -3*a, 4*a = -4*f - 1 - 31. Let t = a + 7. Suppose 0*n = 5*n - 25. Solve t*u + 2 = v - n, 5*u + 4*v = -24 for u. -4 Let u(j) = -9*j - 13. Let q be u(-3). Solve g = -g - 4*o - 2, 3*g - 5*o = -q for g. -3 Let b(a) = 2*a - 2. Let s be b(3). Solve 0 = x + 3*d + 6, -3*x = -s*x + d + 6 for x. 3 Suppose -24 = b - 31. Solve -5*u - 3*v = 13, 0 = 4*u + v - 2*v + b for u. -2 Let g(h) = -h**3 + 8*h**2 - 3. Let x be g(8). Let r = 7 - x. Suppose p = 3*d + 4, 3*p - p + 3*d - 8 = 0. Solve 36 = -3*k + 4*u + r, p*u - 20 = 0 for k. -2 Suppose -2*u = -5 - 1. Solve 10*k - 2 = -2*m + 5*k, -3*m = 5*k - u for m. 1 Let j(z) = 2*z**2 - 2*z**3 - 5 + 0*z**2 + 2*z + 6. Let r be j(-1). Suppose -2*s = -s - 22. Solve r*q + s = 2*g, -2*q - 2 = -g + 11 for g. 5 Let l = -5 - -7. Solve -4*n = k - 1 + 2, -2*n + l*k = 8 for n. -1 Let t = -19 + 3. Let z = -8 - t. Solve 3*y = -5*v + 12, -y - 2*v - v = -z for y. -1 Let f be (-32)/(-5) + 4/(-10). Let k(i) = -i**3 - i**2 - 2*i. Let x be k(-2). Let p = x - f. Solve -11 = -4*h - w, -h + p + 7 = -w for h. 4 Suppose 4*v + 11 = -3*w, -3*w - 3 = -4*v + 16. Suppose -t + 2 = 1. Suppose 0 = x + t, -3*l - 5*x = v + 4. Solve 5*p + 2*u - 3 + 0 = l, -5*p + 5*u = -10 for p. 1 Let f(m) = -m + 2*m - 1 - m**2 + 8*m - 4*m. Let h be f(2). Suppose -13 = -q - h. Solve 3*t = q*t, -4*w = -4*t for w. 0 Let n(c) be the third derivative of -c**4/24 + 2*c**3 + 4*c**2. Let g be n(10). Solve 0 = -4*o - g*p + 2, -3*o + 5*p + 21 + 13 = 0 for o. 3 Let m be 1 + 4 + (-4 - -4). Solve 4*l + 3*h - 2*h - 1 = 0, l - m*h - 16 = 0 for l. 1 Let v(c) = -c**3 + 5*c**2 - c + 7. Let f be v(5). Suppose -2*l = -2*n - 12, 0*n + 9 = l + f*n. Solve 5*d = -g - 6, -2 = -5*d - l for g. -1 Let y(b) = -b**2 - 6*b + 1. Let i be y(-5). Suppose -i = -p - 4. Suppose -p = 2*d - 10. Solve 2*z + d*v = -12, 0*v = -2*z + 2*v - 6 for z. -4 Let v(s) = -s**2. Let b(i) = -5*i**2 - 9*i + 6. Let h(m) = -b(m) + 4*v(m). Let r be h(-10). Solve 1 - 6 = z + f, -f - r = 0 for z. -1 Suppose 5*j - 3*h = 72, h + 28 = 2*j - 0*h. Solve 2*f - j = 4*i, 5*f + 8 = -2*i + 2 for i. -3 Suppose 4*t + 2*n = 8 + 10, -3*t = -3*n. Suppose -3 = 2*y - t*y. Suppose -4*f + 2*l = -14, 3*f = 2*f + 5*l - 1. Solve 2*k - f = -i + 1, y*k = 3*i + 21 for k. 4 Suppose 20 = 2*s - 2*v, 6 = 4*s - 3*v - 36. Suppose 0 = 2*a - 5*a + s, x + 5*a = 24. Solve -l = 5*b - 13, -4*l + 0*l + x*b + 4 = 0 for l. 3 Suppose -5*i - 3*d - 65 = 0, -4*i = 3*d - 2*d + 45. Let h be (-3 - 2)*6/i. Solve 0 = -3*s - z + 11, -5*z + 0 + 1 = -h*s for s. 3 Let f be (2/3)/(8/96). Solve 0 = 5*s + 3*g - g - 4, -4*g + f = 0 for s. 0 Suppose 0 = -n + 2*x - 19, 0 = n + 2*n - 2*x + 49. Let w be (6/9)/(2/(-30)). Let s be 9/2*w/n. Solve s*l = 4*i + 5*l - 26, i - 14 = -3*l for i. 5 Let s = 142 - 137. Solve -4*r + 36 = -s*a, r = 4*r - 5*a - 32 for r. 4 Let p(l) = 8*l**2 - l + 1. Let s be p(1). Let h = s + -3. Solve m - h*a = -21, -m + 5*a - 18 = -3*m for m. -1 Let s be 2/(1 - -1) - 40. Let c be (-6)/s - (-24)/13. Solve 2*w + 2*r = c, -11 = 5*w - 10*w - 2*r for w. 3 Suppose -5*p = -5, 5*s = 7*p - 2*p + 15. Suppose -16 = -5*w + s. Suppose -w - 4 = -4*x. Solve 5*g - u + 12 = 0, 3*g - x*u = u for g. -3 Suppose -j = -0*j. Suppose 0*o = 3*z - 3*o - 63, -3*z + 4*o + 66 = j. Solve 7*d + 3*c = 2*d + z, 5*d = -4*c + 19 for d. 3 Suppose 48 = 9*z + 3. Solve 2*y + 3*y - r - 5 = 0, 0 = -z*y - 2*r - 10 for y. 0 Let y(g) = g**3 - 7*g**2 + 8*g - 9. Let q be y(6). Suppose 3*d - 3 + 0 = 0. Let p(m) = m - 1. Let b be p(d). Solve -q*n + 12 = b, -x = 2*x - 5*n + 35 for x. -5 Let r be -2 - 35/(-5) - 3. Let q(k) = k**2 + 5*k + 4. Let w be q(-5). Solve b = m - 2*m, b + r*m = -w for b. 4 Let j = 15 + -13. Let q = 10 - 6. Solve -q*h = 4*i - 12, -j*h - 6 = h for i. 5 Let l be -4*1*(-1)/1. Suppose -l*f + 20 = f. Suppose 37 + 15 = f*i. Solve 2*j + u - 21 = -2*j, u - i = -2*j for j. 4 Let j(i) = -i**3 - 6*i**2 - 5*i + 7. Let y(q) = q**2 + 6*q - 5. Let n be y(-6). Let o be j(n). Solve 3*v = s - 0*v, o = -s - 4*v for s. -3 Let v = 4 + 0. Let b(o) = -o**3 + 3*o**2 + 4*o + 6. Let t be b(v). Solve 4*y + 8 = t*l - l, 0 = 4*l + 5*y - 31 for l. 4 Suppose -64 = -4*m - 4*v, 3*v - 60 = -4*m + v. Let p = -6 - -8. Solve 0*i - 3*i + 4*q = -m, p = -4*i - 5*q for i. 2 Let q be 6*83 - 8/(-4). Let m be ((-1)/(-4))/(5/q). Solve y = -0*n + 2*n - 2, 3*n - m = -4*y for y. 4 Let w = -9 - -15. Suppose -p + 14 = 2*u + w, 5*u - 20 = -2*p. Suppose 2*i + 5*j + 21 = p, 0*i - 24 = -2*i + 4*j. Solve -i*q - a - 4 = a, -a - 2 = 0 for q. 0 Let i be 0 + (14 - 1*-2). Let d = 0 + 7. Solve 5*w - d - i = 2*m, 14 = -5*m - 2*w for m. -4 Let p(f) = -f**3 + 3*f**2 + 5*f - 2. Let h be p(4). Let u(i) = 2*i - 25. Let r be u(14). Solve h*s + 5 = -r*t + 2, -2*s + 18 = -4*t for s. 3 Let p = -31 - -33. Solve -4*n = -p*s - 6, 5*n - 7 = 3*s - 0*n for s. 1 Suppose 6 = 5*o + 6*q - 3*q, -3*q = -2*o + 15. Solve -5*k + t = -o, k + 6*t - t - 11 = 0 for k. 1 Suppose -4*t - 12 = 0, 0*y - 2*y - 24 = 4*t. Let x = -8 - y. Let g = 2 + x. Solve b = a - 3 - g, 0 = -2*a - 2*b - 6 for a. 0 Let t be 3/12 + -9*9/(-12). Solve k =
{ "pile_set_name": "DM Mathematics" }
ndreds digit of 5242680? 6 What is the millions digit of 1442629? 1 What is the millions digit of 3681606? 3 What is the ten thousands digit of 18732235? 3 What is the millions digit of 3942559? 3 What is the units digit of 1282761? 1 What is the millions digit of 4559362? 4 What is the units digit of 1043718? 8 What is the tens digit of 20508934? 3 What is the ten thousands digit of 314760? 1 What is the hundreds digit of 12060113? 1 What is the hundreds digit of 283421? 4 What is the thousands digit of 95481? 5 What is the hundreds digit of 152151? 1 What is the millions digit of 1950431? 1 What is the hundred thousands digit of 5687684? 6 What is the hundreds digit of 3155937? 9 What is the hundreds digit of 2875203? 2 What is the hundreds digit of 464913? 9 What is the millions digit of 30522343? 0 What is the hundreds digit of 8948100? 1 What is the units digit of 19950? 0 What is the hundreds digit of 10487100? 1 What is the ten millions digit of 15391930? 1 What is the hundred thousands digit of 10983065? 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1 What is the hundreds digit of 322
{ "pile_set_name": "DM Mathematics" }
(-77)/28. Put -5, 13, u in descending order. 13, u, -5 Let z = 0.14 - 0.04. Put 1/6, -0.5, z in descending order. 1/6, z, -0.5 Let x(a) = -a**2 + a. Let l be x(0). Put 3, l, -8 in descending order. 3, l, -8 Suppose i = -i + 6. Sort 0, i, -4 in descending order. i, 0, -4 Let x = 11 + -13. Let q be (-201)/(-39) - x/(-13). Sort q, 1, -2/11 in decreasing order. q, 1, -2/11 Let f be ((-2)/9)/((8/(-12))/(-1)). Sort 1/5, -4, f, -1/6 in ascending order. -4, f, -1/6, 1/5 Let u = 0.02 + 1.98. Let b = -0.05 - 4.95. Sort b, u, 0 in increasing order. b, 0, u Let b = 210.4 + -210. Put -5/2, 2, -2/17, b in descending order. 2, b, -2/17, -5/2 Let o = 1.1 + 0.3. Let m = o - 12.4. Let g = m - -6. Sort g, -1/10, 5 in ascending order. g, -1/10, 5 Let r be ((-1)/(-5))/((-7)/(-35)). Put 3, r, -8 in descending order. 3, r, -8 Let p be (0/6)/(1/1). Suppose 0 = 4*m - 3 - 17, -b = -m + 6. Sort -2, p, b in increasing order. -2, b, p Suppose -2*o = 3*n + 2 - 9, -4 = -4*o + 4*n. Suppose -3 = -x + 2. Let l be 2/6 - (-70)/(-21). Put o, x, l in decreasing order. x, o, l Let o = -5 + 2. Let g be ((-4)/6)/((-11)/o). Sort g, 2, 0.1. g, 0.1, 2 Let s = -1.5 + 1.4. Let p be 2/(-5) - (-3 + 2). Sort p, 0, s. s, 0, p Let o(w) = w**2 - w - 2. Let h be o(-2). Let p be -5 + 10/15*(3 + 0). Put h, 0, p in increasing order. p, 0, h Suppose -4*m - 2*z = -3*m + 7, 3*m - 7 = z. Put 0, 6, 4, m in ascending order. 0, m, 4, 6 Suppose 5 + 0 = -d. Let b be (0 - 2)/(-4 - -5). Put d, 3, b in ascending order. d, b, 3 Let h be -2*4/(-16)*4. Sort -3/7, h, 0 in decreasing order. h, 0, -3/7 Let z = -0.22 - -0.2. Let g = 161.98 - 160. Let o = g - z. Sort 4, 1, o in descending order. 4, o, 1 Let j = 126 + -131. Put 2, 23, j, -2 in decreasing order. 23, 2, -2, j Let k(q) = -2*q**3 + 4*q**2 - 5. Let a be k(2). Let t(b) = -5 + b**3 + b - 3*b**2 - 3*b**2 - b**2. Let r be t(7). Put -1, r, a in descending order. r, -1, a Let d = -19 + 18.6. Put 6, d, -0.1 in decreasing order. 6, -0.1, d Let p(f) = f**3 + 8*f**2 - 9*f - 2. Let s be p(-9). Put s, 3, -3 in descending order. 3, s, -3 Suppose 4*b - 6*b - 10 = 0. Suppose 3*i + 8 = -7. Let g = -4 - i. Put g, b, -0.4 in descending order. g, -0.4, b Let i = 23 - 38. Let w = 6 - 7. Sort 1, w, i in increasing order. i, w, 1 Suppose 41 = -5*m + 56. Put -1, m, 0 in descending order. m, 0, -1 Let w(u) = -u**3 + 12*u**2 + 14*u + 10. Let x be w(13). Put x, 5, 2/5 in ascending order. 2/5, 5, x Let n be -4 - 9/(-1 + -2). Let a be ((-6)/(-18))/(n/(-3)). Sort -5, 0, a in decreasing order. a, 0, -5 Let o = 10 + -14. Let r(g) = g**2 + 5*g + 3. Let i be r(-5). Sort 0, i, o in ascending order. o, 0, i Let h(n) = -2*n**2 + 16*n - 19. Let z be h(6). Suppose -6 = 2*p - 5*p + 3*y, -3*y = 5*p - 2. Sort -2, p, z in ascending order. -2, p, z Suppose -26 + 18 = 2*u. Suppose -9 = -5*w + 16. Suppose -3*d = -4*d. Sort w, d, u in ascending order. u, d, w Suppose -3*m + z - 1 = 0, -3*m + 2 = z - 5. Let h be (-5)/(1/(-2)*-2). Put 5, h, m in descending order. 5, m, h Let p = 1 + -1. Suppose p = a + a + 12. Let c be a/(-3) + 2 + -2. Put -5, -4, c in increasing order. -5, -4, c Let u(x) = 2*x - 3. Let r be u(4). Let k = -11 - r. Let t be k/2*(-2)/4. Put -3, t, 3 in increasing order. -3, 3, t Suppose -t - 7 = -8. Sort 0.2, 3/7, t in decreasing order. t, 3/7, 0.2 Suppose 0 = 5*h + 20. Let k(c) = c**2 + 7*c - 4. Let w be k(-8). Let u(z) = z - 7. Let o be u(w). Put o, h, 5 in decreasing order. 5, o, h Let c = -299/5 + 60. Put 1/3, 0, c in decreasing order. 1/3, c, 0 Suppose -15 = -4*m - 4*c + 25, 5 = c. Sort -4, -10, m, -2. -10, -4, -2, m Let g = 5 + -2. Let y be 0/(-2 + (g - 3)). Sort y, -3, -5 in descending order. y, -3, -5 Let i = -6.1 + 6. Sort -7, i, -2/9. -7, -2/9, i Let b(y) = -y**3 - 4. Let s be b(0). Let t be (s/(-6))/((-96)/108). Sort -2, 1, t in descending order. 1, t, -2 Let z = -22 - -22.13. Let d = 0.13 - z. Sort 2/5, d, 0.3 in descending order. 2/5, 0.3, d Suppose 0 = -3*t + 2*y - 4 - 4, -y = t - 4. Let j be (-1 - -1)/(2 - t). Suppose 2*i - i = -2. Sort i, -1, j in decreasing order. j, -1, i Suppose -4*v - 172 = -28. Let h be ((-3)/(-6))/((-1)/v). Suppose -h = f + 4*g, 0 = f - 7*g + 2*g - 27. Sort 0, f, -3 in decreasing order. f, 0, -3 Suppose 4*y + 0*y + 4 = 0. Sort y, -2, -5 in increasing order. -5, -2, y Let r = 17 + -7. Let f be (-15)/r*2/3. Suppose 5*v - 25 = 0, -5*m + 2*v + v - 5 = 0. Put -2, f, m in decreasing order. m, f, -2 Let j = -4 - 0. Let i be 1*(-2)/(-3)*3. Suppose -2*p + 4 - 2 = 0. Sort p, j, i. j, p, i Let l = -7 - -4. Let k(t) = t**2 - 9*t + 6. Let s be k(6). Let q = -7 - s. Sort 4, q, l in descending order. q, 4, l Let i = -19 - -21. Suppose 2*b = -5*o - 4 + 12, i*b - 8 = 3*o. Put o, 6, 4 in descending order. 6, 4, o Let g(a) = -2*a + 7. Let v be g(6). Put 1, v, -1 in descending order. 1, -1, v Let s be (11 + -8)*(-4)/(-6). Sort 0, 0.18, -0.2, s. -0.2, 0, 0.18, s Let h be (-1)/(-1) - 3*-1. Let k(m) = m**3 - 5*m**2 - m + 3. Let q be k(5). Let j be q + -3 + 8 - 0. Sort h, 1, j. 1, j, h Let a(p) = -p**2 - 3*p + 3. Let g be a(-3). Let i(d) = d**3 + 2*d**2 - d - 1. Let r be i(-2). Sort -5, g, r. -5, r, g Let g(v) = v**3 - 7*v**2 - 6*v. Let k be g(8). Suppose -3*s + 2*i - k = -s, -5*s - 4 = 4*i. Put s, 5, 2 in descending order. 5, 2, s Let n(t) = -t**3 + 18. Let f be n(0). Let d be ((-2)/(-4))/(3/f). Suppose -3*w - 1 = 2. Put d, -3, w in increasing order. -3, w, d Let m be 1 - (1*6 - -1). Suppose 0 = -4*b - 12, 1 + 5 = -3*o - 3*b. Put m, o, -2 in ascending order. m, -2, o Let p be ((-68)/24)/((-6)/(-8)) + 4. Sort p, 3, -5, 5. -5, p, 3, 5 Let k = 0.2 + -0.4. Let y be 1*(3 - 6 - -3). Suppose -5*f + 3*m - 25 = y, -7*f + m = -4*f + 11. Sort 2/3, k, f in increasing order. f, k, 2/3 Let z(o) = o**3 - o**2. Let x(l) = l**3 - 7*l**2 - 3*l + 1. Let s(c) = x(c) - 2*z(c). Let d be s(-4). Sort 0, d, -1/3 in ascending order. d, -1/3, 0 Let i = 5 - 10. Let s = i + 8. Let u = 0 - -2. Sort 4, u, s. u, s, 4 Let p = -53 - -53. Put p, 5, -3, 1 in decreasing order. 5, 1, p, -3 Let y = 2.3 - -1.3. Let j = 4 - y. Put 0.2, -2/11, j in descending order. j, 0.2, -2/11 Let c(q) = -q**2 - 8*q + 11. Let m = -15 + 6. Let a be c(m). Suppose 1 = -2*v - 5. Sort v, a, -1. v, -1, a Let w = -1.3 - -2.3. Put -4, 0.5, w in decreasing order. w, 0.5, -4 Let r = -0.16 + 0. Let l = r + -0.04. Sort -4, l, -5 in decreasing order. l, -4, -5 Let o = -27.9 + 23.02. Let w = 0.18 + -0.06. Let l = w - o. Put l, -0.5, -0.4 in increasing order. -0.5, -0.4, l Let m = 160 + -484/3. Put 1/4, m, 0.3 in ascending order. m, 1/4, 0.3 Suppose -3*q - 5*d + 41 = 0, -3*q + 2*d - d + 17 = 0. Let y = 5 - q. Suppose -3*g + g - 8 = 0. Sort y, g, 3 in increasing order. g, y, 3 Let n = 0.1 - -0.9. Let w = -3.02 + 0.02. Put w, n, 5 in decreasing order. 5, n, w Let t(b) = b - 1. Let j be t(15). Suppose 10 = j*a - 16*a. Sort 2, -4, a in increasing order. a, -4, 2 Let f = 3/1483 - -47411/22245. Let o = 7/3 - f. Put 0.4, 4, o in decreasing order. 4, 0.4, o Let k = -3 + 0. Let d be (0 + 1)/(2/6). Suppose 0*w = d*w - 15. Put -4, k, w in descending order. w, k, -4 Suppose 2*o + 3*n - 11 = o, 5*o = -5*n + 15. Sort -0.3, o, 5/4 in ascending order. o, -0.3, 5/4 Let n be (6/(-8))/((-30)/16). Let v = 2.1 - 2. Sort v, n, 3. v, n, 3 Suppose 4 = u - c, 3*u - 2*c - 6 = 2. Let z(m) = m**2 - 5*m + 1. Let t be z(5). Suppose 0 = -3*d - t - 5. Sort d, 5, u in decreasing order. 5, u, d Let n be (-3 + (0 - -2))*4. Let j = 3 + n. Let s(v) = v + 4. Let o be s(0). Sort o, 0, j in increasing order. j, 0, o Let q = 4 + -3.6. Let p = 10 + -7. Let w = -5.4 - -5. Sort p, w, q. w, q, p Let v(c) = c**2 - 3*c + 2. Let z be v(2). Sort -4, z, -1 in descending order. z, -1, -4 Let a be (3/(-2))/((-12)/(-16)). Let t(y) be the second derivative of y**4/12 + 2*y**3/3 + 3*y**2/2 + 4*y. Let d be t(a). Sort -5, 5, d in decreasing order. 5, d, -5 Suppose 2*x + 86 = 92. Put -3, x, -2, -5 in decreasing order. x, -2, -3, -5 Suppose -c - 39 = -5*c + 3*i, 0 = -c - 2*i - 4. Let m be c/9 - (-8)/(-21). Let u(h) = -h**2. Let l be u(2). Sort m, -5, l in increasing order. -5, l, m Let g be (-2)/(-18)*(-9)/(-6). Put -1/3, g, 2 in increasing order. -1/3, g, 2 Let g be (3/((-9)/(-2)))/(5/(-15)). Sort 1, -5, g. -5, g, 1 Let b = 0.5 + -0.3. Put -1/3, b, 4 in descending order. 4, b, -1/3 Let y = 6 + -
{ "pile_set_name": "DM Mathematics" }
461? 555 What is next in 1173, 4598, 10343, 18408, 28793, 41498, 56523? 73868 What is the next term in 598, 1209, 1810, 2395, 2958, 3493, 3994, 4455? 4870 What is next in -2377689, -2377696, -2377693, -2377674, -2377633, -2377564? -2377461 What is next in 284760, 569506, 854252? 1138998 What is next in 595589, 595604, 595617, 595628, 595637, 595644? 595649 What is the next term in 6493, 13471, 20473, 27499, 34549, 41623, 48721? 55843 What comes next: 48605, 97204, 145783, 194330, 242833, 291280, 339659, 387958? 436165 What is next in 2288168, 4576268, 6864390, 9152546, 11440748? 13729008 What comes next: -60525, -240332, -539413, -957762, -1495373? -2152240 What is the next term in -1444, -3949, -8122, -13963, -21472, -30649, -41494? -54007 What is the next term in 547622, 2190366, 4928272, 8761340, 13689570, 19712962? 26831516 What comes next: 7, -244, -663, -1250? -2005 What is the next term in -45937, -46031, -46177, -46375, -46625? -46927 What is the next term in -452798, -905591, -1358374, -1811141, -2263886, -2716603, -3169286? -3621929 What comes next: -973, -8115, -27565, -65479, -128013, -221323, -351565? -524895 What is next in 369240, 369206, 369144, 369054, 368936, 368790? 368616 What comes next: -3768, -4555, -5868, -7707, -10072, -12963, -16380? -20323 What is the next term in 982390, 982192, 981996, 981802, 981610? 981420 What is next in -3181, -6531, -9939, -13405, -16929, -20511, -24151? -27849 What comes next: -20500, -45882, -71286, -96724, -122208, -147750, -173362? -199056 What comes next: 12255, 24839, 37509, 50271, 63131, 76095, 89169, 102359? 115671 What comes next: 5849, 7433, 10069, 13751, 18473? 24229 What is next in -15776, -62178, -139500, -247736, -386880? -556926 What comes next: 129866, 519420, 1168672, 2077616, 3246246, 4674556? 6362540 What is the next term in -35641015, -35641018, -35641021, -35641024? -35641027 What is next in 91386, 174902, 258420, 341940, 425462? 508986 What is next in -39700, -79015, -118340, -157681, -197044, -236435? -275860 What is the next term in 51408, 50886, 50364, 49842? 49320 What comes next: 527, 4720, 16111, 38300, 74887, 129472? 205655 What is next in -27455, -54708, -81757, -108596, -135219, -161620, -187793? -213732 What is next in 10458, 21037, 31616? 42195 What comes next: 3826427, 7652853, 11479279? 15305705 What is next in 8694506, 17389262, 26084020, 34778780, 43473542? 52168306 What is the next term in 73619, 294422, 662293, 1177118, 1838783, 2647174, 3602177, 4703678? 5951563 What is the next term in -60108, -120407, -180706, -241005, -301304, -361603? -421902 What is the next term in 637, 2044, 3427, 4786, 6121, 7432, 8719? 9982 What is the next term in -2555392, -2555384, -2555370, -2555350? -2555324 What is the next term in 65824, 131618, 197412, 263206? 329000 What comes next: -37, -132, -253, -358, -405? -352 What comes next: 397, -227, -861, -1511, -2183, -2883? -3617 What is the next term in -2170, -9043, -15916, -22789, -29662? -36535 What is the next term in -5745507, -5745503, -5745497, -5745489, -5745479? -5745467 What is next in 4782, 5440, 1970, -5628, -17354, -33208? -53190 What comes next: 4367301, 8734605, 13101909, 17469213, 21836517? 26203821 What is the next term in 1342, 1507, 1956, 2833, 4282, 6447? 9472 What is the next term in -4253, -4306, -4395, -4520, -4681, -4878? -5111 What comes next: 8344, 8937, 9938, 11347? 13164 What is the next term in 81388728, 81388722, 81388716, 81388710, 81388704, 81388698? 81388692 What is the next term in -995155, -995131, -995107, -995083, -995059? -995035 What is next in -61707, -123405, -185067, -246693? -308283 What is next in 49400203, 98800403, 148200603? 197600803 What comes next: -13455, -53742, -120857, -214800, -335571, -483170, -657597? -858852 What comes next: -1811, -12211, -39769, -93071, -180703, -311251, -493301, -735439? -1046251 What is the next term in 1415422, 5661672, 12738748, 22646644, 35385354? 50954872 What is the next term in 499734, 500260, 501138, 502368? 503950 What is next in -912728, -1825496, -2738306, -3651158, -4564052, -5476988, -6389966? -7302986 What is next in -11535, -13589, -15643, -17697, -19751? -21805 What comes next: 1032430, 1032424, 1032416, 1032406, 1032394, 1032380? 1032364 What comes next: -22434289, -44868577, -67302865, -89737153? -112171441 What is the next term in -125012, -250527, -376044, -501563, -627084, -752607? -878132 What is the next term in -97830, -97004, -96178, -95352? -94526 What is the next term in 327058, 327087, 327116? 327145 What is the next term in 191, 770, 2339, 5390, 10415, 17906, 28355? 42254 What is the next term in 1005, 2170, 3471, 4908, 6481, 8190? 10035 What is the next term in 33245, 132783, 298613, 530735, 829149, 1193855, 1624853? 2122143 What is next in 765257, 3060969, 6887147, 12243791? 19130901 What is the next term in -2365190, -4730356, -7095536, -9460736, -11825962, -14191220? -16556516 What is next in 3054, 5867, 8692, 11529, 14378, 17239, 20112? 22997 What comes next: 90336, 180697, 271058, 361419, 451780, 542141? 632502 What is the next term in 102031, 102133, 102297, 102523, 102811, 103161? 103573 What is next in -68592004, -137184010, -205776016, -274368022, -342960028? -411552034 What comes next: 8763609, 8763610, 8763611, 8763612, 8763613, 8763614? 8763615 What comes next: -73213, -292852, -658833, -1171090, -1829557, -2634168? -3584857 What is the next term in 25219, 24718, 24197, 23650, 23071, 22454? 21793 What comes next: 2572, 5230, 7976, 10810, 13732? 16742 What is next in 14790, 18002, 21214? 24426 What comes next: 19994, 79831, 179526, 319067, 498442? 717639 What comes next: 130699, 130769, 130885, 131047, 131255, 131509, 131809? 132155 What is the next term in 18884, 21237, 23590, 25943, 28296? 30649 What is the next term in 5496, 11070, 17006, 23484, 30684? 38786 What is the next term in -5908, -23013, -51332, -90871, -141636? -203633 What is the next term in -28634, -60129, -94484, -131699, -171774? -214709 What is next in -133916, -134361, -134792, -135203, -135588, -135941? -136256 What is the next term in 34010, 68587, 103178, 137789, 172426? 207095 What is next in -1603, 14836, 59609, 146882, 290821, 505592, 805361, 1204294? 1716557 What comes next: -805, -5212, -16833, -39274, -76141, -131040, -207577, -309358? -439989 What is the next term in 1229551, 1229491, 1229431, 1229371, 1229311, 1229251? 1229191 What comes next: 72760, 72620, 72480? 72340 What is next in -99824141, -199648280, -299472419, -399296558, -499120697, -598944836? -698768975 What comes next: -3238, -3141, -3002, -2803, -2526? -2153 What is the next term in 14357984, 28715972, 43073960, 57431948, 71789936? 86147924 What is next in -962408, -962410, -962412? -962414 What comes next: 39115, 38943, 38471, 37549, 36027, 33755, 30583, 26361? 20939 What is the next term in 615, 4879, 16439, 38937, 76015? 131315 What comes next: 541649, 541642, 541623, 541586, 541525, 541434, 541307, 541138? 540921 What comes next: 1723, 1566, 1281, 874, 351? -282 What is next in 213, 427, 627, 813, 985, 1143, 1287? 1417 What is next in -270258, -269977, -269696? -269415 What is the next term in 32999, 130687, 293489, 521405, 814435? 1172579 What comes next: -3263, -6384, -9231, -11672, -13575, -14808? -15239 What is next in 707, 485, 261, 35, -193, -423? -655 What comes next: 868, 3395, 7632, 13585, 21260, 30663, 41800? 54677 What is next in -34342, -36171, -37998, -39823? -41646 What comes next: 242287, 242387, 242487, 242587, 242687, 242787? 242887 What comes next: -19966, -147040, -488312, -1150882, -2241850? -3868316 What is the next term in -184167, -736595, -1657281, -2946231, -4603451, -6628947? -9022725 What is the next term in 11003, 42332, 94547, 167648, 261635? 376508 What is next in -7163420, -7163417, -7163414, -7163411, -7163408? -7163405 What is the next term in 17350, 69487, 156448, 278287, 435058? 626815 What comes next: 1347454, 2694902, 4042350? 5389798 What is the next term in 1091, 1185, 1287, 1409, 1563, 1761, 2015? 2337 What is the next term in -953352, -953418, -953484, -953550, -953616? -953682 What comes next: 9, -660, -2693, -6774, -13587, -23816? -38145 What is the next term in -330, -271, -156, 15, 242? 525 What is next in
{ "pile_set_name": "DM Mathematics" }
00 What is 2854 rounded to the nearest one thousand? 3000 Round 262.21 to the nearest 100. 300 What is -12.97 rounded to 1 dp? -13 Round -1.0443 to 1 decimal place. -1 What is -223800 rounded to the nearest 1000? -224000 Round 0.00005 to three dps. 0 Round 187068000 to the nearest one hundred thousand. 187100000 Round -6896000 to the nearest one million. -7000000 What is 0.20863 rounded to three dps? 0.209 What is 0.21264 rounded to 2 decimal places? 0.21 Round -0.00247699 to four dps. -0.0025 What is -3704 rounded to the nearest one hundred? -3700 What is 0.27632 rounded to 3 decimal places? 0.276 Round -14200000 to the nearest one million. -14000000 What is -0.0011087 rounded to four dps? -0.0011 What is 94800000 rounded to the nearest one million? 95000000 What is 593660 rounded to the nearest ten thousand? 590000 What is 203.98 rounded to the nearest one hundred? 200 What is 1922100 rounded to the nearest ten thousand? 1920000 What is 0.10222 rounded to 3 decimal places? 0.102 What is -19800000 rounded to the nearest one hundred thousand? -19800000 Round -247000 to the nearest one hundred thousand. -200000 Round 111560000 to the nearest one million. 112000000 Round 0.00000000141 to 7 decimal places. 0 Round -2090.5 to the nearest 100. -2100 Round 760 to the nearest 1000. 1000 Round -36267 to the nearest 100. -36300 What is 36.62 rounded to zero dps? 37 What is 0.0058673 rounded to three decimal places? 0.006 Round -197640 to the nearest ten thousand. -200000 Round 0.00017818 to six dps. 0.000178 Round 12893 to the nearest 1000. 13000 What is -4.428 rounded to one dp? -4.4 Round 0.00000026 to 6 dps. 0 Round -4713.8 to the nearest 1000. -5000 What is -0.010271 rounded to three dps? -0.01 Round -7984000 to the nearest ten thousand. -7980000 What is 785.4 rounded to the nearest 100? 800 Round 2591.6 to the nearest ten. 2590 Round -0.000075605 to five dps. -0.00008 What is 248.5 rounded to the nearest ten? 250 What is 0.08222 rounded to two decimal places? 0.08 Round 745000 to the nearest ten thousand. 750000 What is -162498 rounded to the nearest 1000? -162000 Round -0.3821 to 1 dp. -0.4 Round -0.000111 to 5 decimal places. -0.00011 Round -0.000020768 to seven decimal places. -0.0000208 What is 83097000 rounded to the nearest 100000? 83100000 What is 2348.8 rounded to the nearest ten? 2350 What is 221.79 rounded to the nearest one hundred? 200 Round -0.00000326287 to 6 decimal places. -0.000003 What is 41.06 rounded to 0 decimal places? 41 What is -0.0031764 rounded to four decimal places? -0.0032 What is -27432 rounded to the nearest one hundred? -27400 Round 0.014313 to three decimal places. 0.014 Round 0.06543 to two dps. 0.07 What is -6472 rounded to the nearest one thousand? -6000 What is -18500 rounded to the nearest ten thousand? -20000 Round 1036000 to the nearest 10000. 1040000 Round -553100 to the nearest ten thousand. -550000 What is 20.25 rounded to the nearest integer? 20 Round -21.661 to one decimal place. -21.7 Round -6525300 to the nearest 10000. -6530000 Round 1115 to the nearest 100. 1100 What is -0.075195 rounded to 2 dps? -0.08 Round -0.00008071 to 5 dps. -0.00008 What is 5875000 rounded to the nearest one million? 6000000 What is -0.00093765 rounded to five decimal places? -0.00094 Round 0.12689 to two decimal places. 0.13 What is -0.0002208 rounded to five decimal places? -0.00022 Round -741370000 to the nearest one million. -741000000 What is 0.00047721 rounded to 5 decimal places? 0.00048 What is -0.0000338 rounded to 5 dps? -0.00003 What is 0.1417 rounded to 1 decimal place? 0.1 What is 727 rounded to the nearest 100? 700 Round -0.000014692 to seven decimal places. -0.0000147 Round -17090000 to the nearest 100000. -17100000 Round -2.92663 to one dp. -2.9 Round -1721120 to the nearest 100000. -1700000 What is -3657200 rounded to the nearest ten thousand? -3660000 Round -0.0000027604 to 7 dps. -0.0000028 What is -15906 rounded to the nearest one thousand? -16000 What is -0.00014069 rounded to 6 decimal places? -0.000141 Round 0.09455 to two dps. 0.09 What is -74890 rounded to the nearest 10000? -70000 Round 37329 to the nearest 1000. 37000 Round 0.000114077 to five dps. 0.00011 What is 233.28 rounded to the nearest integer? 233 Round 1250 to the nearest 100. 1300 Round 214600000 to the nearest 1000000. 215000000 What is 7123100 rounded to the nearest ten thousand? 7120000 Round -4.27358 to two decimal places. -4.27 Round 5677 to the nearest one thousand. 6000 Round -2203000 to the nearest ten thousand. -2200000 What is -158.26 rounded to the nearest ten? -160 Round -0.0063872 to four dps. -0.0064 What is 0.000000799 rounded to 6 decimal places? 0.000001 What is -2534000 rounded to the nearest 1000000? -3000000 What is -2.5059 rounded to two dps? -2.51 Round -1325 to the nearest one thousand. -1000 What is 0.03602 rounded to two dps? 0.04 What is 129.46 rounded to the nearest ten? 130 What is -0.1331 rounded to 3 decimal places? -0.133 Round -0.7902 to 1 dp. -0.8 Round 0.00000152961 to seven decimal places. 0.0000015 Round 0.4745 to 1 decimal place. 0.5 What is 37529 rounded to the nearest one thousand? 38000 Round 647.85 to the nearest 10. 650 What is 104.7 rounded to the nearest ten? 100 Round 0.4928 to 1 decimal place. 0.5 Round 0.00021828 to 4 decimal places. 0.0002 What is -0.00000208 rounded to six decimal places? -0.000002 What is 0.00000383195 rounded to 7 decimal places? 0.0000038 What is 0.0000000107 rounded to 7 dps? 0 What is 0.0522 rounded to 3 dps? 0.052 Round 2.15393 to one dp. 2.2 What is 8 rounded to the nearest ten? 10 What is 0.000061747 rounded to 7 dps? 0.0000617 What is -0.02948 rounded to two decimal places? -0.03 Round -0.00239109 to 3 dps. -0.002 What is 0.0000319106 rounded to 7 dps? 0.0000319 Round 0.0056475 to 2 decimal places. 0.01 What is -0.00000048793 rounded to seven decimal places? -0.0000005 What is -0.14829 rounded to three decimal places? -0.148 What is -0.35339 rounded to 3 dps? -0.353 Round 1408.73 to the nearest one hundred. 1400 What is -35114000 rounded to the nearest 100000? -35100000 What is 0.01176 rounded to four dps? 0.0118 What is -0.027606 rounded to 2 decimal places? -0.03 What is -0.001 rounded to 4 decimal places? -0.001 Round -127.49 to 0 dps. -127 What is 0.651 rounded to 1 dp? 0.7 What is 0.0000112845 rounded to 7 dps? 0.0000113 What is -93.287 rounded to the nearest integer? -93 Round -0.514165 to 2 dps. -0.51 What is -0.0000073916 rounded to 6 dps? -0.000007 Round 5.3944 to zero decimal places. 5 Round 0.00057459 to 4 dps. 0.0006 Round -3.48 to 1 decimal place. -3.5 Round 7952000 to the nearest one hundred thousand. 8000000 What is -0.0002638 rounded to 4 decimal places? -0.0003 Round -48 to the nearest ten. -50 What is -0.001468 rounded to five decimal places? -0.00147 Round 0.00015671 to 6 dps. 0.000157 Round 6682.7 to the nearest one thousand. 7000 What is -0.030955 rounded to 2 dps? -0.03 What is -1.24364 rounded to one dp? -1.2 Round -80230 to the nearest ten thousand. -80000 What is -4540 rounded to the nearest 1000? -5000 What is 17.91 rounded to 0 dps? 18 Round -12060000 to the nearest one million. -12000000 Round -0.0013364 to 5 dps. -0.00134 Round 0.000003823 to 7 decimal places. 0.0000038 Round 561.9 to the nearest 10. 560 Round -15.68 to one decimal place. -15.7 What is -0.002953 rounded to 4 dps? -0.003 Round -288.4 to the nearest 100. -300 Round -0.0000053322 to 6 dps. -0.000005 Round 0.15 to two dps. 0.15 Round 3962600 to the nearest 10000. 3960000 Round 635 to the nearest 10. 640 What is 5894 rounded to the nearest 1000? 6000 Round -752700 to the nearest 100000. -800000 Round -1.32 to 0 dps. -1 What is 7.0343 rounded to the nearest integer? 7 What is -0.00811 rounded to three dps? -0.008 Round 904800 to the nearest 10000. 900000 What is -67.1 rounded to the nearest 10? -70 Round -6860 to the nearest 1000. -7000 What is -0.00000954 rounded to 6 dps? -0.00001 Round -3893 to the nearest 10000. 0 Round 122330000 to the nearest 1000000. 122000000 Round -0.04892 to two dps. -0.05 Round -10691000 to the nearest one million. -11000000 What is 13590 rounded to the nearest ten thousand? 10000 What is 0.00000953 rounded to 6 dps? 0.00001 Round -721100 to t
{ "pile_set_name": "DM Mathematics" }
= p. What is the greatest common factor of t and p? 19 Let i = -4947 - -4951. Let o(j) = j + 1. Let w(k) = -7*k - 11. Let p(h) = 6*o(h) + w(h). Let y be p(-6). Calculate the highest common divisor of i and y. 1 Suppose 0 = -228*y + 231*y + x - 34, 3*x - 6 = -y. Calculate the greatest common factor of 513 and y. 3 Let p be -24*((-9)/(27/(-12)) - 6). Let l = -117 + 274. Suppose 5*j - l + 34 = -2*u, 5*u = 3*j + 323. What is the greatest common factor of u and p? 16 Suppose 0 = -8*b - 186 + 3666. Let d = b + -421. What is the highest common factor of d and 378? 14 Let k(h) = 8*h + 221*h**3 + h**2 - 449*h**3 + 4 + 227*h**3. Let m be (6/2)/(2/(-2)). Let v be k(m). What is the highest common divisor of v and 80? 16 Suppose -10086*h - 90 = -10101*h. Calculate the highest common divisor of 626 and h. 2 Let p = 57107 - 56355. Let t = -11 + 27. What is the greatest common factor of p and t? 16 Let i(s) = -2*s**3 - 115*s**2 - 55*s + 143. Let y be i(-57). What is the greatest common divisor of 4292 and y? 29 Suppose 4*m - 246 = 62. Let j(c) = -68*c**2 + c. Let x be j(1). Let l = m + x. What is the highest common divisor of l and 10? 10 Suppose 0 = -272*m + 70985 + 29111. Calculate the greatest common divisor of m and 224. 16 Let f(i) = -i**3 + 24*i**2 - 52*i + 30. Let y be f(12). What is the highest common factor of 21 and y? 21 Let f be (319/44 - 7) + (945/20)/3. Let r(m) = 144*m. Let k be r(1). Calculate the highest common divisor of k and f. 16 Let v(p) = -136*p - 855 + 18*p + 736. Let w be v(-3). What is the greatest common factor of w and 47? 47 Let a be (-20)/200 + (-762)/(-20). Calculate the highest common factor of a and 2470. 38 Let r be 273*((120/16)/5 - (-99)/14). What is the highest common factor of 20 and r? 20 Suppose t = 4, -31*s - 4*t - 404 = -35*s. Suppose -10*y + 9*y + 70 = 0. What is the highest common factor of y and s? 35 Let y be (7/(-4))/((-6)/(-24)). Let g be ((0 + 1)/(-1))/(y/189). Calculate the greatest common divisor of 27 and g. 27 Let t(j) = -11*j - 61. Let a be t(-7). Let v be ((-38)/5)/((a/5)/(-8)). What is the greatest common factor of 19 and v? 19 Suppose 2*j = -5*a - 0*j + 380, -4*a + 304 = 4*j. Let f be 12*-2*(-285)/a. What is the highest common divisor of 225 and f? 45 Let a be -20108*(7 + 2/(-4)*15). Calculate the highest common divisor of 66 and a. 22 Suppose 3*b - 301 = 4*p - 1027, -2*p = -2*b - 364. What is the highest common divisor of 220 and p? 20 Suppose 3*u - 5*u - 8 = 0. Let x(k) = 2*k**2 + 19. Let h be x(u). Suppose -39 = -5*o + h. Calculate the greatest common divisor of o and 12. 6 Suppose 3150 - 15 = j + 10*j. What is the greatest common factor of j and 1254? 57 Let v(q) = q**2 + 82*q + 265. Let i be v(-80). What is the highest common factor of i and 1330? 35 Suppose 8085 = 15*g + 6*g. Suppose -l + 3*p + 142 = 0, 0*l + 134 = l - 5*p. Calculate the greatest common divisor of l and g. 77 Suppose 31*m - 10*m - 63 = 0. Let x be (-10)/(-4) - 2/4. Suppose m*o - b - 36 = o, -x*b = o - 18. What is the greatest common factor of o and 27? 9 Suppose 59*o - 56*o - 96 = 0. Let l be (1 - (-2 + -27))*48/9. What is the greatest common factor of l and o? 32 Let r(p) = p**2 - 20*p + 21. Let w be r(21). Let m be w/((-25)/(-165) + 2/11). Calculate the greatest common factor of 14 and m. 14 Let y(q) = -q**3 - 8*q**2 + 132*q + 1122. Let w be y(-9). Suppose 162 = 4*d - 298. What is the highest common factor of d and w? 5 Let i be (-665)/(-13) + (-3 - 259/(-91)). Let x = 64 - i. Suppose -50 = -3*p + 301. What is the greatest common divisor of p and x? 13 Let z be -6 + 5 + 72/(-2). Suppose 0 = -5*y - 2*r - 2*r + 241, 0 = -y + 5*r + 25. Let w = z + y. What is the greatest common divisor of w and 12? 4 Suppose 964*u - 995*u + 52049 = 0. What is the greatest common factor of u and 146? 73 Suppose -12 = -7*p + 44. Let d be (96/14)/(9/(756/p)). What is the greatest common factor of d and 18? 18 Let k(s) = 56*s**3 - 21*s**2 + 71*s + 143. Let d be k(8). Calculate the greatest common factor of d and 33. 11 Suppose 0 = -1650*j + 1651*j + 5*h - 313, -650 = -2*j - 4*h. Calculate the highest common divisor of j and 243. 9 Suppose 5*k + 11 = -14, -3*r + 22 = k. Suppose 0 = r*x - 39 - 15. Calculate the highest common factor of x and 48. 6 Let h(n) = n**3 - 36*n**2 - 77*n + 37. Let o be h(38). Let k be (2 - (1 - -2))*(-91 - o). Calculate the highest common factor of k and 54. 18 Let u(s) = -2*s - 44. Let n be u(-15). Let b be (-1940)/n + 2 + 20/(-35). Calculate the greatest common divisor of 35 and b. 35 Suppose -71875 + 4276 = -29*u. Let w be (-3)/((-3)/(-2))*u/(-6). What is the highest common factor of 42 and w? 21 Let n(j) = -j**3 + 3*j**2 + 1. Let r be n(2). Suppose 471 = 2*p + 3*m, -m + 223 = p - 2*m. Let w = p + -208. What is the greatest common factor of w and r? 5 Suppose 12*k - 47 + 23 = 0. Suppose -1962 = -k*o + 2*w, o = -2*o - 2*w + 2958. What is the greatest common factor of 24 and o? 24 Let w(l) = -425*l - 845. Let h be w(-2). Calculate the highest common factor of 174 and h. 1 Suppose -9 = y - 3*d, -5*d = -0*y + 2*y - 15. Suppose y = -0*z + 2*z + 44. Let o = 46 + z. What is the greatest common divisor of o and 72? 24 Let z = -67 + 97. Suppose 6*k - 18 = z. Suppose k*r + 440 = 12*r. Calculate the greatest common divisor of r and 11. 11 Suppose -387 = -52*l + 2525. Let a be 4*140*(-5)/(-10). Calculate the greatest common divisor of l and a. 56 Let f(x) = -48 - 40*x - 44 - x**3 + 19*x**2 - 43 - 39 + 184. Let c be f(16). Calculate the highest common divisor of 184 and c. 46 Let f(x) = -5*x + 2. Let i be f(-5). Let r(q) = q**2 - 2*q - 28. Let y be r(0). Let d = i - y. Calculate the highest common factor of 5 and d. 5 Let k be (48/(-9) - -5)/((-17)/3264). Calculate the greatest common factor of k and 19904. 64 Suppose -2*m + 16626 = -4*u, -17*m + 22*m - 41520 = -5*u. Calculate the highest common factor of 27 and m. 9 Let g(k) = k**3 + 8*k**2 - 40*k + 4. Let d be g(7). What is the highest common divisor of 102 and d? 51 Suppose 1669 = 5*s + 864. What is the highest common divisor of s and 207? 23 Let f be (6/16 - (8530/(-80) + 17))/2. What is the greatest common factor of f and 170? 5 Let y(c) = -16*c**3 - 2*c**2 + 2*c - 1. Let p be y(1). Let u = -11 - p. Let l be (-12*9/(-30))/(5/25). What is the highest common factor of u and l? 6 Suppose -31*z = 52*z - 28469. What is the greatest common divisor of z and 7? 7 Let z be (-417)/(-1946) - (-1257)/14. Calculate the highest common factor of z and 170. 10 Suppose -2*x + 14 = 4*s, 2*s + 26 - 6 = 2*x. Let g = 180775 + -180550. What is the greatest common divisor of g and x? 9 Let b be (-4 + -16 - -7) + 776. What is the highest common divisor of b and 77? 7 Let n be 1/((-1568)/(-3128) + 2/(-4)). What is the highest common divisor of 46 and n? 46 Suppose 3*g - 16 = -2*y, g + 4*y - 10 = -18. Suppose 228 = f + 3*f. Let z = 129 - f. What is the greatest common divisor of z and g? 8 Let k = -27370 - -27434. Let j be ((-6)/(-4))/(3/160). What is the greatest common divisor of j and k? 16 Let n be (0 - 0)*(-2 - 2)/(-12). Suppose 3*l - 13 + 7 = n. Suppose -3*k + 20 = 5*r, -l*r + 0*r = -3*k - 8. Calculate the greatest common factor of 36 and r. 4 Let c be (-43 + 14 + 1)*(-6)/4. Let h = 949 + -403. Calculate the highest common factor of h and c. 42 Let k = 17170 - -2186. Calculate the greatest common divisor of 24 and k. 12 Let k(y) = 5*y - 31. Let g be k(9). Suppose 44 = 6*p + g. Suppose -42 = 4*s + 3*h - 121, -p*s + h + 113 = 0. What is the highest common factor of 33 and s? 11 Let w = 154 - 170. Let h = 33 + w. Suppose -q = -3*q + 238. What is the highest common divisor of q and h? 17 Suppose 17*j - 1345 + 274 = 0. Suppose 56 = -j*h + 70*h. What is the greatest common factor of 472 and h? 8 Suppose 247*z - 33*z - 2092 = 19308. Let x be (4/(-8))/(3/(-24)). Calculate the greatest common factor of x and z. 4 Let f = 4649 - 1828. Calculate the greatest common factor of f and 7. 7 Suppose -4*u = -4*v + 360, -4*v - 9*u = 64 - 502. Suppose o + 128 = 5*o. Calculate the greatest common divisor of v and o. 32 Let w(m) = -4*m**2 - 6*m - 1. Let a be w(-4). Let d = a + 52. Suppose 3*r - 2*t - 330 - 27 = 0, -3 = -t. What is the highest common factor of r and d? 11 Let d be (-9)/27 - (-2226)/9. Let y = d + -157.
{ "pile_set_name": "DM Mathematics" }
7, 3 Suppose -6*h - 654 = 300. Let c = -157 - h. Put -1, -5, c, 7 in decreasing order. 7, c, -1, -5 Suppose -4*s - 23 + 15 = 0. Let f be 3*(-50)/(-12)*(-92)/(-115). Sort -4, 1, f, s in increasing order. -4, s, 1, f Let b = 4076 - 4080. Put 2/9, 1, 4, -390, b in decreasing order. 4, 1, 2/9, b, -390 Suppose -6 = -r + 3*r. Let z = -1068.3 - -1068.9. Sort r, z, -13, -5/6 in decreasing order. z, -5/6, r, -13 Let f(j) = -34*j + 30. Let v be f(1). Sort 4, v, 454, 2, -3. v, -3, 2, 4, 454 Let z be ((-2)/(-57))/((-3)/9). Let w be 3*8/72*9. Suppose 26*b = w*b. Sort -4/7, z, b in descending order. b, z, -4/7 Let j be ((-18)/(-162))/((-120)/(-135)). Sort -2/5, -3, j, -21/121 in ascending order. -3, -2/5, -21/121, j Let x = -48800/21 + 2324. Put 0.7, x, 1, -0.1 in ascending order. -0.1, x, 0.7, 1 Let c be (-18)/(-20)*(10/(-3) - -5). Sort c, -0.1, -213, 0. -213, -0.1, 0, c Let a be 7/70*5*-6. Suppose 0 = -5*u - 3*m + 28, 1 = 2*u - 2*m - 7. Sort u, -254, a in ascending order. -254, a, u Let z = -8 - -5. Let b be (-9)/(2 + (-49)/28). Let f = b + 41. Sort z, f, 3 in descending order. f, 3, z Let c(y) = 2*y + 4. Let w be c(-4). Let d = w + 6. Suppose 3 = 251*v - 252*v. Put 0, v, d, 5 in descending order. 5, d, 0, v Let l be 159/(-9) - 76/228. Put 0, 6, 2, l in decreasing order. 6, 2, 0, l Suppose -96 + 881 + 193 = 489*y. Let i = -387 + 2714/7. Let s = 1/28 + i. Sort -3, y, s in increasing order. -3, s, y Let k = -39 + 41. Let w = -789 + 786. Sort k, 54/11, -4, w in decreasing order. 54/11, k, w, -4 Let k = -103.1 + 103.3. Let r = -3.1 + 3. Put k, 2, r, 1 in decreasing order. 2, 1, k, r Suppose 0 = 3*n - 8 - 1. Let i be (3/(-2))/(3/6 - -1). Put -6, n, 4, i in descending order. 4, n, i, -6 Let q be -428 - (-5 + 2 + (-24)/8). Let z = 425 + q. Sort 22, z, -3 in ascending order. -3, z, 22 Suppose 0*a - 2*a = 3*n - 12, -3*n + 12 = 0. Let j be 108/63 + 4/14 + a. Suppose s = j*s + 4*f - 15, 3*s - 5*f + 40 = 0. Put 5, s, -3, 2 in decreasing order. 5, 2, -3, s Let j = 42.483 + -42.3. Let a = j - 0.053. Let v be (3 - 1)/12*3. Sort a, v, -4 in decreasing order. v, a, -4 Let o(q) = -2*q + 24. Let k be o(7). Suppose -32*j + 41*j = 9. Sort -1, k, 3, j in ascending order. -1, j, 3, k Let j = 96181/3 + -32060. Let g = -2 - 4. Let x = -11 - g. Sort 1, x, j, 0.2 in ascending order. x, 0.2, j, 1 Let o be 6*((-4)/14)/((-14)/245*10). Put o, 19, -14, 5, 1 in descending order. 19, 5, o, 1, -14 Let s = -111.79 + 105.79. Sort -5, 2/9, 0.4, s, -2 in increasing order. s, -5, -2, 2/9, 0.4 Suppose 6*i + 730 = -344. Let k = 183 + i. Put -14, k, 2, 1 in decreasing order. k, 2, 1, -14 Let x(b) = 18*b + 41. Let r be x(-2). Put -101, -0.5, r, 3/2 in increasing order. -101, -0.5, 3/2, r Let h = -0.008272 - -0.048272. Let r be 4/(-5)*(-10)/(-6). Sort h, 0.5, r, -1. r, -1, h, 0.5 Let z be (6 - -2) + (-8 - -18 - 4). Put 0, -1, z, 1, 6 in increasing order. -1, 0, 1, 6, z Suppose -w - 24 = t, -12*t + 4*t = -2*w + 182. Put 3, t, 4, 18 in ascending order. t, 3, 4, 18 Suppose -34 = 4*j + 5*d + 21, -2*j - 3 = -d. Sort -43.7, 1/2, 1, j in descending order. 1, 1/2, j, -43.7 Let p be (-77)/(-28) - (-2)/8. Let q be ((-20)/(-16))/5 - 1695/12. Let s = -150 - q. Put -3, s, p, -2 in descending order. p, -2, -3, s Let w be 6656/156 + 8/6. Let l = 39 - w. Sort l, -2, 5, 2. l, -2, 2, 5 Let m = -20200.71 - -20200. Put -0.3, -2/11, m, -0.1, 0.3 in increasing order. m, -0.3, -2/11, -0.1, 0.3 Let y = -15846 + 15846. Put -0.2, -152, y, 6 in ascending order. -152, -0.2, y, 6 Suppose 2*h + 4 = -0. Suppose 5*x - 2*x + 4*x = -3*x - 330. Put 5, x, -3, h in increasing order. x, -3, h, 5 Suppose 0 = -5*z + 29 + 21. Let u be (24/20)/(6/z - 1). Sort 7, u, 4 in increasing order. u, 4, 7 Let f = -2617 + 2598. Sort f, 0.5, -3/7 in decreasing order. 0.5, -3/7, f Let f = -198 - -208. Suppose 2*h + 5*r = -10, 5*h - 7*h + 5*r = f. Sort h, 5, 4. h, 4, 5 Let r = 12.8 - 14. Let q = 1.7 + r. Let m = -0.05 + -0.05. Put -0.2, m, q in decreasing order. q, m, -0.2 Let p = 55 + -50.6. Let y = 1 - p. Let g = y + -6.6. Sort -0.5, g, 0 in ascending order. g, -0.5, 0 Suppose -l + 4*a = -3*l + 14, -5*l - a = -62. Let v = 17 - l. Let j = -12 + 10. Sort -2/21, -0.3, v, j in increasing order. j, -0.3, -2/21, v Let c = -0.486165 + 0.086165. Let d = 0 - 3. Let v = -2.91 - -3. Put c, d, v, -0.1 in descending order. v, -0.1, c, d Let i(w) = -w**2 - 28*w - 57. Let o be i(-2). Let z = 0 - 0.1. Let s = -10.8 - -0.8. Sort z, o, s, -0.2 in decreasing order. z, -0.2, o, s Let g(y) = -y**3 - 8*y**2 + 7*y - 15. Let x be g(-9). Let f be ((-20)/16 - -1)/(14/(-392)). Put -4, x, f in increasing order. -4, x, f Suppose 0 = 2*w - 12, -118 = 19*c - 23*c + w. Sort 0, c, 2, 3 in decreasing order. c, 3, 2, 0 Suppose 4*c - 2*r = 62 + 48, 119 = 4*c - 5*r. Let v = c + -30. Sort v, -2, 0.09. v, -2, 0.09 Let y = 189 - 191. Let x = -16 + 16.36. Let b = x + 2.64. Sort b, y, 0, -3 in increasing order. -3, y, 0, b Let s = -27469 - -27466. Sort s, -0.3, -0.5, -1463, -2/5 in increasing order. -1463, s, -0.5, -2/5, -0.3 Suppose -3*d - 9 = -g, -4*d + 0*d = 3*g - 1. Suppose -13946*j - 25 = -13942*j - 5*l, -2*j + 2*l - 14 = 0. Sort j, d, -4, 0. j, -4, d, 0 Suppose -122*d = -355 - 11. Sort -2, d, 5, 118, -10 in ascending order. -10, -2, d, 5, 118 Suppose a + 40*m - 36*m - 32 = 0, -5*m + 40 = a. Put -2, a, -3456 in increasing order. -3456, -2, a Let i be (-110)/(-77) - 152/28. Let m be -1*(-1 - 0 - -7). Let x be ((-9)/(-6))/(m/(-16)). Put 5, x, i, 0 in descending order. 5, x, 0, i Let u = 27 - 23. Suppose -68*m + 76*m + 16 = 0. Sort u, -5, m, -7 in descending order. u, m, -5, -7 Let a be (-1107)/105 + 10 + 2/5. Let s = -7.2 + 6. Put -4, a, 2, s in ascending order. -4, s, a, 2 Let p be (-1 - 0)/((-2)/(-14)). Suppose 22 = i + 10*i. Suppose 6 = -i*a + 2. Sort a, 0, p in descending order. 0, a, p Let p = 11 - 21. Let m(v) = -17*v**3 - 187*v**2 - 82*v - 905. Let i be m(-11). Sort -7, i, 0, p in decreasing order. 0, i, -7, p Let f = -13125 - -65628/5. Let h(b) = b**2 - 7*b + 6. Let q be h(6). Sort 2/7, -0.5, q, f. -0.5, q, 2/7, f Let k = 189/4 + -47. Let y(l) be the first derivative of -l**2/2 + 11*l + 3. Let u be y(7). Sort 9, u, k. k, u, 9 Suppose -2*b + 21 + 5 = 4*q, 0 = 4*q - 20. Suppose -3*v - b*k + 18 = 0, 22 = 5*v + 4*k - 3. Sort -0.19, v, -0.2 in decreasing order. v, -0.19, -0.2 Suppose -5*o + 0 = 2*y - 1, -4*o + 12 = -4*y. Let r = -2/13 + 79/91. Let x = -76 + 75.9. Sort o, r, x in decreasing order. o, r, x Let n = -866.331 - -866. Let y = 0.731 + n. Sort -8, -2.5, y. -8, -2.5, y Let d = -79.3 + 81.3. Sort 3, -1, 0.08, d in decreasing order. 3, d, 0.08, -1 Let p(t) = t**2 - 55*t + 455. Let b be p(10). Put 115, -4, b in descending order. 115, b, -4 Let x = 64219/5301 + -109/9. Sort x, 0.1, -2/7. -2/7, x, 0.1 Let i = -1.07 + 0.37. Let r = i + -12.3. Sort r, -0.5, -0.2. r, -0.5, -0.2 Suppose 0 = 2*r - 10, -5*p + 2*r = 7*r - 40. Let j(m) = m**2 - 10 + 41*m - p - 51*m. Let w be j(9). Sort 2/7, w, 0.1. w, 0.1, 2/7 Suppose 3*q - z + 6 + 10 = 0, q + 4*z = -14. Put q, 0, -36 in decreasing order. 0, q, -36 Suppose 3 = 2*v - 9. Let a = 119.54 + -121. Let o = a - -1.46. Put 4, -3/7, v, o in increasing order. -3/7, o, 4, v Let m(k) = k**3 - 11*k**2 + 20*k - 15. Let u be m(9). Suppose r - 45 = 5*v - 0*r, 2*v = u*r - 18. Put 2, -3, v, 0 in decreasing order. 2, 0, -3, v Let j = 7072.8 - 7073. Let q(u) = u**2 - 3*u - 10. Let t be q(5). Sort t, 0.3, -1/8, j. j, -1/8, t, 0.3 Let r = 10 + -12. Suppose -2*h + 0*h - 352 = -5*g, g - 3*h = 60. Let l = g - 147/2. Put 1/8, r, l in ascending order. r, l, 1/8 Suppose 0 = -3*x + c + 25, 4*x - 9*x + 42 = -2*c. Suppose -x = l - 10. Sort -5, l, 0. -5, 0, l Suppose 3*a + 12*a + 285 - 1620 = 0. Let w be (-85)/1 + -2 - 1. Let g = a + w. Sort 0, -1, g, -2 in decreasing order. g, 0, -1, -2 Let i be 16/36 - (-1360)/3528. Let b = i - 8/49. Let v = -73/2 + 38. Sort b, -3/4, v. -3/4, b, v Let g = -0.1 + 0.3. Let r be (-2 + -1 + (-10)/(-3) + 0)*(-2027 + 2025). Put r, -1/3, g, -0.3 in decreasing order. g, -0.3, -1/3, r Suppose 0 = -5*d - 30 + 90. Suppose -108 = -d*b - 0*b. Sort b, 0.8, 1 in increasing order. 0.8, 1, b Let s = -0.22168 + -0.80832. Put 2/29, s, 0.2, -2 in descending order. 0.2, 2/29, s, -2 Let o = 12023099.963 - 12018041. Let h = o + -5053. Let b = h - -0.037. Pu
{ "pile_set_name": "DM Mathematics" }
/(((h*h*h**(2/9))/h*h)/h))/(h**6/(h/(h*(h*h*h**(1/8)*h)/h))) assuming h is positive. h**(-7547/792) Simplify ((a**(-13)/(a/a**(-2/5)))/(a/(a**(4/13)*a*a)*(a/(a*a**(3/7)/a))/a))**(-36/11) assuming a is positive. a**(207432/5005) Simplify (((c/(c**2/c))/c)**(-23)*(c**(1/6))**1)**(-2) assuming c is positive. c**(-139/3) Simplify ((t*t/t**(-1))/t*t)**(3/2)/(t/((t**(-3/5)/t)/t))**1 assuming t is positive. t**(9/10) Simplify c**(5/2)*(c*(c/(c/(c*c*c/(c**(-20/3)*c))))/c)/c*c*c*c*c*c/(c/c**(9/11))*((c/c**(-12/13))/c*c)/c assuming c is positive. c**(13649/858) Simplify ((x/(x*x*x/(x*x*x**(-4)*x)*x))/x*x/((x/x**(-10/7))/x)*x)**(20/7) assuming x is positive. x**(-620/49) Simplify (b**(-1))**(-36)*(b*b**(-5/3)/b*b*b)/(b/(b/(b*b**(-7)*b))) assuming b is positive. b**(124/3) Simplify (((o**1)**(-24))**(-2/47))**0 assuming o is positive. 1 Simplify c*c*c/c**(8/9)*c**(-14)*c/(c*c**(-4))*c*c/(c/((c*c*c*c/c**(3/7))/c)) assuming c is positive. c**(-272/63) Simplify (c**(-1/4)*c)**(-42)/(c**(1/5)*c)**15 assuming c is positive. c**(-99/2) Simplify (o*o/(o**(-3/14)/o))**(6/13)*o/o**(-2/45)*o**(-8)*o*o assuming o is positive. o**(-14218/4095) Simplify w**(7/5)*((w**(4/15)*w)/w)/w*((w*w**13)/w)/w*w/((w*w*(w*w/(w/(w**(-1/26)*w))*w)/w)/w) assuming w is positive. w**(835/78) Simplify (h**2/(h/h**(-6/5)))/((h/(h*h/((h**(-14)*h)/h)*h))/(h*h*h/h**15)) assuming h is positive. h**(19/5) Simplify (w**(-22)*w**(-4/17))/(w**(-5/8)*w**(-4/25)) assuming w is positive. w**(-72931/3400) Simplify (((q**(-17)*q)/q)/(q**0*q))/((q*q*q**12)/q*q**(1/18)) assuming q is positive. q**(-559/18) Simplify ((v/(v/(v/(v**(1/21)*v)))*(v*v**(-13)/v*v)/v)**36)**(-1) assuming v is positive. v**(3288/7) Simplify ((j/((j*j/(j*j*j/(j*j**(-25))*j))/j*j)*j/((j*j/(j*j**(-3)/j))/j))**1)**(3/29) assuming j is positive. j**(72/29) Simplify (v*v**33)**34/(v**(-1))**30 assuming v is positive. v**1186 Simplify (o/o**(-2/3)*o*o**(2/41))/(o*o**(24/5)*o**(-31)) assuming o is positive. o**(17168/615) Simplify (v*(v*v**(-5))/v*v*v*v**(3/5)/v)/(v**0)**(-6) assuming v is positive. v**(-12/5) Simplify (((z**(3/2)/z)/z*(z**(4/7)*z)/z*z*z)**1)**(-1/42) assuming z is positive. z**(-29/588) Simplify ((b**12*b/(b**2/b))**35)**17 assuming b is positive. b**7140 Simplify (((w/((w*w**(-18))/w)*w)/w)/w**(-2/9))/((w**16/w)/(w/(w*w**(1/3)*w)*w*w)) assuming w is positive. w**(44/9) Simplify b**(-16/3)/b**(-1/20)*b/b**(7/2)*b*b**(2/43) assuming b is positive. b**(-17381/2580) Simplify (x/(x**5/x)*x)/(x*x*x**(-2/11))*(x**3/x)**(-4/7) assuming x is positive. x**(-382/77) Simplify (d/(d/(d*d/d**(-1/5))*d))**(-45)*(d*(d*d**(2/21))/d*d)/((d**(3/5)*d)/d*d) assuming d is positive. d**(-5618/105) Simplify (((a*a**(-5))/a*a/(a/(a/(a*(a**(2/9)*a)/a)))*a)/(a**2/a)**(5/6))**(-1/5) assuming a is positive. a**(91/90) Simplify c*c*c**22/c*c*c*c**(-17/3)*c**11/c**6 assuming c is positive. c**(73/3) Simplify ((i**(-1/2))**(-1/4)/((i/(i*i/(i**(2/3)*i)))/i)**(-2/9))**(2/11) assuming i is positive. i**(1/108) Simplify (p**(-2))**(-45)*(p**3)**(-1) assuming p is positive. p**87 Simplify (p/(p*p**(-2/7)))**(-7/3)*p**(-1/7)/(p*p**(-11/5)) assuming p is positive. p**(41/105) Simplify (c**(-2/7)/(c/((c**7/c*c)/c)))/(c**(2/3))**(-28) assuming c is positive. c**(491/21) Simplify (r**(-2/3)/r)**(-24)/(r**(-10/9)/(r*r/(r/(r*r/r**(-5)))*r)) assuming r is positive. r**(451/9) Simplify ((f*f**(7/5))/(((f**(-3/7)/f)/f)/f))/(f**0)**28 assuming f is positive. f**(204/35) Simplify ((((q**(-24)/q)/q)/q)/(q**(1/4)/q))/(q**2)**(-3/10) assuming q is positive. q**(-513/20) Simplify (l**(1/4))**(-2/49)/((l**(2/11)/l)/l*l**(-12)) assuming l is positive. l**(14885/1078) Simplify ((o/(o*o**(-2)*o))/o*o**(-17))/((o*o/(o/o**12))/(o*o**8)) assuming o is positive. o**(-21) Simplify ((k/((k/k**(1/2))/k*k))**(-1/37)*k/(k/(k**(-4)*k))*k**5*k)**(-50) assuming k is positive. k**(-5525/37) Simplify (i**(-17/4)*i*i**(1/13)*i)/(i**34/i**24) assuming i is positive. i**(-633/52) Simplify (u*u*u*u**(-2)*u)/((u*u/(u/u**16*u))/u*u)*u**(-8)/(u/u**(-3)) assuming u is positive. u**(-26) Simplify ((x**14)**(3/31))**23 assuming x is positive. x**(966/31) Simplify (t**(-2/9)/t*t)**(-46)/(t/t**(-1/5)*t*t*t/(t*t/t**8)*t) assuming t is positive. t**(-44/45) Simplify (w*(w*w/(w**(1/12)/w*w))/w*w)**(-34)/(w**(-5/3))**45 assuming w is positive. w**(-145/6) Simplify (m*m*m**(-2/13))**(17/3)*(m**(-2)/m)**49 assuming m is positive. m**(-1775/13) Simplify (a**(-2)/a*a**(-1/21))/(a**(8/7)/(a/(a/(a**8*a)))) assuming a is positive. a**(101/21) Simplify ((u*((u/(u/(((u*u/(u*u**4/u*u)*u)/u)/u)))/u)/u)/(u/(u/u**(-16)*u*u)*u))/(u/(u/u**0))**(-21) assuming u is positive. u**12 Simplify h/((h**4/h*h)/h)*h**(1/3)/h*(h*h*(h/(h*h**(-8)*h))/h)/h**5 assuming h is positive. h**(1/3) Simplify ((f/f**6)/f*f/f**8)**(1/16) assuming f is positive. f**(-13/16) Simplify ((z/(z/(z*z*(z*z**(-1/6)/z*z)/z*z*z)))/(z*(z*z/(z*z/(z*z*z*z**7*z*z*z))*z)/z))/(z/(z*(z**2/z)/z))**(2/37) assuming z is positive. z**(-61/6) Simplify g**(-1/4)*(g/(g**12/g))/g*g**9*g**(-5)/g*g assuming g is positive. g**(-29/4) Simplify (h*h**(3/5)*h*h**18)/((h/h**(-18)*h)/(h/(h*h*h*h*h**(-2)*h*h*h))) assuming h is positive. h**(-17/5) Simplify q**(-9)*q*q*(q**(6/13)*q*q)/q*(q*q**(3/7)*q)**(-32) assuming q is positive. q**(-7576/91) Simplify (o/(o**(-1/4)/o))/o*o**(2/15)*o*o**(-4/11)*o**(1/4) assuming o is positive. o**(749/330) Simplify (((a**(1/3)*a*a)/(a*a/(a*a/(a/a**(-1/6))*a*a)))**41)**(4/9) assuming a is positive. a**(1558/27) Simplify ((a**(1/3)*a**(1/6))/(a**2*a*a**(3/8)))**(3/28) assuming a is positive. a**(-69/224) Simplify (k**(-6/7)/(k*k**(-4/3))*(k/k**1)**47)**(-7) assuming k is positive. k**(11/3) Simplify (j**(-1/3)*j*j)**27*((j**(-9)/j)/j)/j**(-3) assuming j is positive. j**37 Simplify ((q/(q*q*q**(3/10)))/q)/(q/((q/(q**(1/14)*q))/q))*(q/q**4)**(5/12) assuming q is positive. q**(-787/140) Simplify (c**18*c**(-28))**(-44) assuming c is positive. c**440 Simplify s**(-2/3)*s*s**(-2/59)*s*s**(4/17)*s/(s*s**(-22)*s) assuming s is positive. s**(67807/3009) Simplify (c*c**(-5/6))**(8/7)/((c*(c*c**(-2/5))/c)/c**6) assuming c is positive. c**(587/105) Simplify (((y**(-4))**36)**(-4))**(-1/11) assuming y is positive. y**(-576/11) Simplify (z**14*z*z*z**(-8)/z*z)/((z*z**(-18))/(z*z*z/((z*z**20)/z)*z*z)) assuming z is positive. z**10 Simplify (a/(a/(a*a**(-10)*a)*a))**(7/5)/(a**(-4))**(-17) assuming a is positive. a**(-403/5) Simplify (i**2*(i*i*i/i**(-12))/i)/((i**(1/5)*i)/(i/(i/(i/((i*(i/(i**(-8/7)/i))/i*i)/i))*i))) assuming i is positive. i**(408/35) Simplify ((a**(2/17)/a)/a)/(a*a**27/a)*a**(-18/11)/(a*a**(-3/5)) assuming a is positive. a**(-28909/935) Simplify ((((w/w**(1/24))/w)/w*w*w)/(w/w**17))**(-1/6) assuming w is positive. w**(-407/144) Simplify (((f*f**(-2/5))/(f**(-1/8)/f))**12)**(-2/19) assuming f is positive. f**(-207/95) Simplify m**10/(m/m**7)*(m**(-4))**(-1/6) assuming m is positive. m**(50/3) Simplify ((h**3*h*h**(-5))/(h**(-1)*h)**6)**(-2) assuming h is positive. h**2 Simplify (o**(-2/7))**(-1/9)*o**(-1/8)*o**(-21) assuming o is positive. o**(-10631/504) Simplify (q**(3/23)*((q*q/(q**16*q)*q)/q)/q)**25 assuming q is positive. q**(-9125/23) Simplify ((n**1)**(-23)/(n/n**(-4)*n*n**(-2)))**(1/34) assuming n is positive. n**(-27/34) Simplify ((r/(r**3*r))/r*r*r/(r**(-1/7)*r))/((r/((r*r/r**2)/r))/((r*r**(-2/17))/r)) assuming r is positive. r**(-592/119) Simplify (h**(-2/19))**(-10)/((h/(h/((h*h**21)/h)))/h*h**(-29)) assuming h is positive. h**(191/19) Simplify (i*i**(2/3)*i**(3/28))/(i/((i**(-36)*i)/i)*i**(-4/21)) assuming i is positive. i**(-981/28) Simplify (h**(1/17))**17*(h**(-1/3)/h*h)/(h/h**(-5/2)) assuming h is positive. h**(-17/6) Simplify t/(t*(t*t/(t**(20/9)*t)*t)/t)*t/(t*t/(((t**(3/4)/t)/t)/t)*t)*t*(t/((t*t/t**33)/t))/t**(2/21) assuming t is positive. t**(7781/252) Simplify (o*o**(-18)*o*o**(-15))/(o**(-1/3))**(13/3) assuming o is positive. o**(-266/9) Simplify (n**(1/18))**(-15)*(n**(-2/91))**(-19) assuming n is positive. n**(-227/546) Simplify y*y**(4/7)*y/y**(-1/2)*y*y/y**5*y**(-9/5) assuming y is positive. y**(-121/70) Simplify (h**2)**(-14)/(h/h**(-2/15)*h**(-2)/h*h) assuming h is positive. h**(-407/15) Simplify h**6*h/((h**(-7)/h)/h)*h**(2/3)*h*h**(2/5) assuming h is positive. h**(271/15) Simplify ((d**(1/7)*((d*d*d*d*d/(d*
{ "pile_set_name": "DM Mathematics" }
**(-1)*n*n)/n*n))/n*n*n)/n)**(2/15)*((n*n/(n**(1/4)/n)*n)/n)**43 assuming n is positive. n**(473/4) Simplify (h*h**(12/5)*h)**(-50) assuming h is positive. h**(-220) Simplify (u*u**(-3/4))/(u/u**(4/9)) assuming u is positive. u**(-11/36) Simplify (c*c*c/(c/(c*c**(-4)*c*c)))/c**(6/5) assuming c is positive. c**(-1/5) Simplify (r**(-1/5)/(r*r*r*r**(-2/11)*r))**(-24) assuming r is positive. r**(5304/55) Simplify (q/(q*q/(q*q**5)))**47 assuming q is positive. q**235 Simplify (g/g**(-3/5)*(g*(g**0*g)/g)/g)/((g**(-4)*g)/g**(2/11)) assuming g is positive. g**(263/55) Simplify n**(-4/3)*n*n**(2/15)*(n*n**0*n)**(-1) assuming n is positive. n**(-11/5) Simplify (k/k**(-4)*k*k**(2/5))/(k**(-2/5)/k*k**(2/19)*k*k) assuming k is positive. k**(541/95) Simplify p**(14/3)*p**(-17) assuming p is positive. p**(-37/3) Simplify s**1*s**(2/23)/s*(s**4*s)/s*s**(-2/3)*s*s assuming s is positive. s**(374/69) Simplify a**(-6/23)/(a**(-5)*a) assuming a is positive. a**(86/23) Simplify (q**27)**(-50) assuming q is positive. q**(-1350) Simplify (o*o*o**(-1/3)*o)**(1/40)/(o**(-2))**(-1/2) assuming o is positive. o**(-14/15) Simplify t**(-1/6)*t**(-6/7) assuming t is positive. t**(-43/42) Simplify m/m**(5/9)*(m/((m*m*m*m**(-6/7))/m*m))/m assuming m is positive. m**(-107/63) Simplify (m*m*(m/(m*m**(2/5)*m*m))/m)**(-18)/((m/((m/(m*m/(m/m**0)))/m))/m*m**3*m*m) assuming m is positive. m**(96/5) Simplify u**(20/7)/u*u/u**(-10) assuming u is positive. u**(90/7) Simplify (j**(-1/12)/(j/j**(-8)))/(j**(2/5))**(-34) assuming j is positive. j**(271/60) Simplify g**(-22)/g**(-12/5) assuming g is positive. g**(-98/5) Simplify (x**(-12))**(-2/21) assuming x is positive. x**(8/7) Simplify ((s/s**0)/(s/s**(-10)))**(-8/3) assuming s is positive. s**(80/3) Simplify n**2/(n*n**(-19)) assuming n is positive. n**20 Simplify a**(2/25)/(a/a**(-7)) assuming a is positive. a**(-198/25) Simplify (d**(1/16)/((d*((((d/(d/((d*d/d**(-1/8)*d)/d)))/d)/d)/d)/d*d)/d))/(d*(d*d*(d**(-2)/d)/d*d*d*d*d)/d)**(-14) assuming d is positive. d**(463/16) Simplify (d*d**(-5/3)*d)/d**7 assuming d is positive. d**(-20/3) Simplify (q/(q*q**(-2)/q))**(2/33) assuming q is positive. q**(2/11) Simplify (n**(2/7)*(n**(-3)*n*n)/n)/(n/(n**(-2/7)/n))**(-18) assuming n is positive. n**(276/7) Simplify c**(-11/4)/(c*c*c**(3/2)) assuming c is positive. c**(-25/4) Simplify (s/s**(-30)*s)**(-2/3) assuming s is positive. s**(-64/3) Simplify (i*i/((i/i**(-1/12))/i)*i/(i/(i*i/(i**(2/7)*i))*i))**(3/7) assuming i is positive. i**(137/196) Simplify (u/(u*u/u**(-10)*u*u))/((u**(3/2)*u)/u)*u**7/(u*u/(u*u**2)*u*u*u*u) assuming u is positive. u**(-21/2) Simplify l**(-1/2)/l**(-3) assuming l is positive. l**(5/2) Simplify m**(3/2)*m**(-2/7)*(m*m/m**(4/5))/(m/m**(-1/3)) assuming m is positive. m**(227/210) Simplify ((i/i**(-2))**(3/5))**(-2/61) assuming i is positive. i**(-18/305) Simplify a/(a/((a**(-39)/a)/a))*a**(8/15) assuming a is positive. a**(-607/15) Simplify (j**(-2/9))**(-6/23)/((((j*j**(1/4))/j)/j)/(j**(-4)*j)) assuming j is positive. j**(-605/276) Simplify (((l**(-2/7)/l)/l)/(((l*l/(l**17/l)*l)/l)/l))**(-32) assuming l is positive. l**(-2848/7) Simplify ((w**(1/3))**(-1/16))**(-39) assuming w is positive. w**(13/16) Simplify ((g/(g/(g/(g/g**(-7))*g)))/g**(-2/11))**(-41) assuming g is positive. g**(2624/11) Simplify (u/((u*u**(4/9))/u))/(u*u*u*u*u*u/u**(25/3)*u*u) assuming u is positive. u**(8/9) Simplify (t/t**(12/5)*t)**(20/7) assuming t is positive. t**(-8/7) Simplify (z/z**1)**47/(((z**(2/21)*z)/z)/z**(-2/15)) assuming z is positive. z**(-8/35) Simplify v/v**(2/47)*v**(-2/17)*v assuming v is positive. v**(1470/799) Simplify y**(3/7)*y**(-1/4)*y assuming y is positive. y**(33/28) Simplify (m/m**(-12/7))**(-10/11) assuming m is positive. m**(-190/77) Simplify (u**6*u**(1/4))/(u**(1/2)/u**(-4)) assuming u is positive. u**(7/4) Simplify n**(1/14)/(n**(-2/29)*n*n*n) assuming n is positive. n**(-1161/406) Simplify ((s**0*s)/s*s)**(3/23)/((s/(s**2*s))/s**(-1/6)) assuming s is positive. s**(271/138) Simplify ((l/l**3)/(l**11/l))/((l**(-3)/l)/(l*l**(-5))) assuming l is positive. l**(-12) Simplify ((a*a**(2/9))**(32/3))**(-7) assuming a is positive. a**(-2464/27) Simplify (v**(3/2)*v**(2/5)/v)**16 assuming v is positive. v**(72/5) Simplify x**(-3/4)*x/(x**11*x)*x**4*(x/(x/x**(1/5)))/x assuming x is positive. x**(-171/20) Simplify ((y/y**0)**(-15/4))**3 assuming y is positive. y**(-45/4) Simplify a**2/(a*a*a**13) assuming a is positive. a**(-13) Simplify (m**(-7)*m*m**(-7))/(m**4/m**(2/3)) assuming m is positive. m**(-49/3) Simplify (s**(-14)/(s/(s/s**13)))**(-44) assuming s is positive. s**1188 Simplify ((i**(-14)/i)/i*i**4)**(-12) assuming i is positive. i**144 Simplify (v**(2/3)*(v*v**(-2))/v)**28 assuming v is positive. v**(-112/3) Simplify ((l*l**(3/13)/l*l*l)/(l*(l/(l**(1/11)/l))/l*l))**29 assuming l is positive. l**(-2813/143) Simplify d*d**18/d*d**(2/7)*d assuming d is positive. d**(135/7) Simplify u**(-30)/(u*u**(18/11)*u*u) assuming u is positive. u**(-381/11) Simplify n/(n**(-1/21)*n)*n**(-17)*n assuming n is positive. n**(-335/21) Simplify b**(1/8)*(b*b**8*b)/b*(b**(-1)/b)**6 assuming b is positive. b**(-23/8) Simplify (s**(2/13)/(s/(s**(-6)*s)))**9 assuming s is positive. s**(-684/13) Simplify (m**(-1/13))**(1/3) assuming m is positive. m**(-1/39) Simplify a**22/a**(-4) assuming a is positive. a**26 Simplify (a**0/a)**(-40)*a**(-1/8)/a**(-2/13) assuming a is positive. a**(4163/104) Simplify (l**(-27)*l)/(l**(-1/37)/l) assuming l is positive. l**(-924/37) Simplify (k/(k*k**(5/2)))/(k/((k**(-5)/k)/k))*(k*k*k**(-1/2))/k**(-6) assuming k is positive. k**(-3) Simplify ((y**(-9/4)*y*y)/y**0)**11 assuming y is positive. y**(-11/4) Simplify (c**1)**49/(c/(c/((c**(-2/5)*c)/c))*c*c**(1/8)*c*c*c) assuming c is positive. c**(1811/40) Simplify (z/(z/((z/z**(1/8))/z)))/(z*z**18) assuming z is positive. z**(-153/8) Simplify v/(v**(-1/10)*v)*v*v/v**(-43)*v assuming v is positive. v**(461/10) Simplify ((c*c**(-1)*c)**(-2/69))**(-25) assuming c is positive. c**(50/69) Simplify k*(k**15*k)/k*k*k*(k*k/(k*k**(-13/6)))/k*k assuming k is positive. k**(127/6) Simplify w**(2/25)*w*w**11*w assuming w is positive. w**(327/25) Simplify x**(-2/9)/(x*x*x**(4/13)/x) assuming x is positive. x**(-179/117) Simplify (g/(g**(-7)*g)*g**(-1)*g)/(g**(-6/5)/(g*g/g**(-2))) assuming g is positive. g**(61/5) Simplify (y**(1/19)*y**9)/(y/(y**(-2)/y))**(-45) assuming y is positive. y**(3592/19) Simplify ((z**2)**0)**(8/15) assuming z is positive. 1 Simplify (f**5)**(2/21) assuming f is positive. f**(10/21) Simplify r**(-5)/((r/(r*r**6*r))/r) assuming r is positive. r**3 Simplify ((s/(s**(1/5)/s))/s*s**3)**(-1/12) assuming s is positive. s**(-19/60) Simplify ((p**(-1)/p)**(-32))**(5/6) assuming p is positive. p**(160/3) Simplify ((s**(-1/4)*s*s)/s*s)**(-2/47)/(s**1)**(-46) assuming s is positive. s**(4317/94) Simplify (a*a**(1/6)*a*a**(-15))**(3/26) assuming a is positive. a**(-77/52) Simplify ((d**6/d)/(d/(((d/d**(-1/2))/d)/d)))/((d*(d/(d*d**(-2)))/d)/d*d**(-1/5)) assuming d is positive. d**(27/10) Simplify (n**(-2))**(-48)*(n*(n**1*n)/n)**6 assuming n is positive. n**108 Simplify a**(16/3)/(a**28/a) assuming a is positive. a**(-65/3) Simplify b**(4/11)/b**15 assuming b is positive. b**(-161/11) Simplify ((s*s**(-2/9)*s)/(s**(1/24)*s))**(7/9) assuming s is positive. s**(371/648) Simplify (k**(-1/4)/k*k)**(-3) assuming k is positive. k**(3/4) Simplify (k/(k/(k/k**(5/4)*k))*k**7)**35 assuming k is positive. k**(1085/4) Simplify (c*c**(1/3))**(-1/55)*(c*c/(c**(-1/2)*c)*c)/((c**(1/4)/c)/c) assuming c is positive. c**(2789/660) Simplify (q**(-1/14))**(3/43) assuming q is positive. q**(-3/602) Simplify (((x*x**(-8))/x)**(-4/21))**(-37) assuming x is positive. x**(-1184/21) Simplify (a**(-2/11))**(-9/11) assuming a is positive. a**(18/121) Simplify d**(-5)*d**(2/5)*d*(d**(-2/3)*d)/d*d**(-7) assuming d is positive. d**(-169/15) Simplify (i**(1/4)/((i/(i*i*(i/i**5)/i))/i))**(-1/7) assuming i is positive. i**(11/28) Simplify f**5/f**(-10) assuming f is positive. f**15 Simplify (p/(p*(p/(p**1*p))/p)*p*p/p**(3/5))/(p**(3/5)*p*p**(-5)) assuming p is positive. p**(34/5) Simplify u/u**(-27)*u*u/u**9*u assuming u is positive. u**22 Simplify ((r/(r/(r/r**(3/2))))**49)**(4/11) assuming r
{ "pile_set_name": "DM Mathematics" }
e h(-6). Let d(m) = -m + 9. Let q be d(v). What are the prime factors of -2*((-15)/q - -2)? 11 Suppose -r = 6*s - 7*s - 932, 2802 = 3*r - 5*s. List the prime factors of r. 929 Suppose 4*s - 449 = -g, -g = g - 2. Suppose 83 + s = 5*j. List the prime factors of j. 3, 13 Let z(h) = -h. Let g be z(-3). Suppose 5*x + g*q + 0*q = 106, -x + 3*q + 32 = 0. What are the prime factors of x? 23 Let k be 10*(4/(-14) - (-50)/28). Let s = 68 - k. What are the prime factors of s? 53 Suppose -2*x + 4 = -0. Let k be (x - 114/9)*-6. Suppose -3*q = -4*q + k. What are the prime factors of q? 2 Suppose -42*t + 57086 + 64336 = 0. What are the prime factors of t? 7, 59 Let k be ((-20)/(-8)*-2)/(-1). Suppose -k*p + 108 - 28 = 0. List the prime factors of p. 2 Let n(q) = -q**2 + 2*q + 4. Let p(f) = 3*f**2 - 5*f - 13. Let a(z) = -7*n(z) - 2*p(z). What are the prime factors of a(6)? 2, 5 Suppose -10*t - 5*m + 21200 = 0, t - 2524 + 422 = -5*m. List the prime factors of t. 2, 1061 Let h(z) = 35*z**2 - 3*z - 5. Let a be h(-2). Suppose -43 = 2*p - a. What are the prime factors of p? 7 List the prime factors of 1/(9/11691)*1. 3, 433 Let x = 291 + -527. Let o = 345 + x. List the prime factors of o. 109 Let q(v) = -2*v**2 + 3*v - 8. Let n be q(-4). Let x = -19 - n. What are the prime factors of x? 3, 11 Let j(p) = -6*p + 5 + 4*p - 17. Let i be j(-6). Suppose i = 5*z - 42 - 83. What are the prime factors of z? 5 Let u(n) = -n**3 - 2*n**2 - n - 10. Suppose r = -3*r - 20. List the prime factors of u(r). 2, 5, 7 Let z(a) be the second derivative of -a**3/2 - 23*a**2/2 + 13*a. What are the prime factors of z(-11)? 2, 5 Let t(r) = -r**3 + r**2 + 44. Let l(o) = o**3 - 4*o**2 + 4*o - 3. Let y be l(3). What are the prime factors of t(y)? 2, 11 Suppose 17 = -5*j + 2. Let s(x) = 3*x + 11. Let p be s(j). List the prime factors of (31/2)/(p/8). 2, 31 Suppose 6*n - 3*n - 2*h = 2878, 0 = -5*h + 5. What are the prime factors of n? 2, 3, 5 Suppose -11*p - 40 = -7*p. Let m be (0 - 1)/(p/100). Let s = 24 - m. What are the prime factors of s? 2, 7 Let g(b) = b**3 + b**2 - 4. Let d be g(0). Let j be d*3/(-6)*2. Suppose -4*w + y + 168 - 50 = 0, 124 = j*w + 2*y. List the prime factors of w. 2, 3, 5 Suppose -11*r - 8 - 36 = 0. List the prime factors of (r/5)/(((-36)/6)/30). 2 Let w = -91 - -155. Let k = w + -34. What are the prime factors of k? 2, 3, 5 What are the prime factors of 20/(-45) - (-2)/(18/17095)? 3, 211 Let n(v) = 2*v**3 + 4*v**2 + 2*v. Let g be n(-2). List the prime factors of -5*(2*2/g - 3). 2, 5 Let j = -44 + 53. Let d = 25 + j. List the prime factors of d. 2, 17 Let q(k) = -16*k - 4 - 17*k + 3 - 23. Let j be q(-7). What are the prime factors of (j/(-6))/((-9)/12)? 2, 23 Let h(p) = 28*p**2 + 3*p - 14. List the prime factors of h(2). 2, 13 Let w(x) = -5*x**2 + 7*x**2 - 14*x + 4*x**2 - 6*x**3 - 7. Let k(q) = q**3 + q**2 + q - 1. Let r(v) = -5*k(v) - w(v). What are the prime factors of r(10)? 2 Let y(w) = -3*w + 996. List the prime factors of y(0). 2, 3, 83 Let u be (-265)/(-3) + 3 + (-6)/(-9). Suppose 4*g = b - 23, -5*g + u = 7*b - 3*b. List the prime factors of b. 23 Let x be 6/10 - ((-231)/15 - -3). Suppose 2*k = -x + 3, -5*h - 4*k = -1060. List the prime factors of h. 2, 3 Let v = 136 + -124. Suppose v + 67 = o. What are the prime factors of o? 79 Let h(j) = 4*j**2 + 3*j + 1. Let v be h(-2). Suppose 3 - v = -2*r. Suppose -r*s + 77 = -s - k, 2*s - 5*k - 73 = 0. List the prime factors of s. 2, 3 Suppose 0 = 4*m + 395 - 2019. List the prime factors of m. 2, 7, 29 Let m = 17 - 17. Let u be -3 + m - -9 - 4. Suppose -5*q - 75 = -d - 26, 0 = -q - u. What are the prime factors of d? 3, 13 Let i(a) = 16*a + 510. What are the prime factors of i(47)? 2, 631 Let a be (6/(1 - 2))/(-2). Let z(b) = 21*b**2 - 2*b + 3. Let f be z(1). Suppose k + f = a*k. What are the prime factors of k? 11 Suppose -3 = 5*w - 13. Let b be -4 + w - (-113 - 1). Suppose 0 = -3*c + 7*c - b. What are the prime factors of c? 2, 7 Let y be 7 + 0 - (8 + -6). Suppose -y*w - 50 = -5*o, 5 = -4*w - 11. Let k(x) = -x**2 + 9*x - 9. What are the prime factors of k(o)? 3 Let x be (-4)/4 + -63 + -1. Let n = -35 - x. List the prime factors of n. 2, 3, 5 List the prime factors of ((-7587)/(-63) - -2) + 3/(-7). 2, 61 Let h(i) = 2*i**2 - 34*i - 37. List the prime factors of h(-16). 1019 Let i = 2 - 2. Suppose -2*g + 8 = 2*n - i*g, 4*g = -3*n + 15. Suppose -7 = s - 5*z, -2*z + 5 = -n. What are the prime factors of s? 2 Suppose t + 16 = -3*t, 5*n + t = 11. Suppose 2*d + g = -3*g + 114, -3*d + 156 = n*g. List the prime factors of d. 47 Let k(n) = 0 + 5*n**2 - 3*n - 16 + 4*n**2 + n**3. Let r be k(-7). Suppose 4*g - r = 73. List the prime factors of g. 2, 11 Let h(g) = g**2 + 2*g + 14. Let j be 23/(-5) - (-18)/30. Let p be (-18)/j*8/6. List the prime factors of h(p). 2, 31 Let j = 19 - -31. Let x be 1/(j/48 - 1). Suppose 146 = 2*k + x. What are the prime factors of k? 61 Suppose 4*l - 11*l = -63. Suppose -830 = -l*h + 4*h. List the prime factors of h. 2, 83 Suppose -24 = -3*g - 3*k, 10*k - 11*k - 2 = -g. Suppose 4*c - 502 = g*x + 396, 1114 = 5*c - 2*x. List the prime factors of c. 2, 3, 37 Let n be (-4 + 3)*-5 - 1. Suppose y = n*g + 3, 3*y = -5*g + 6*y + 5. List the prime factors of g*(-1 + (-2)/4). 3 Let l(v) = 2*v - 1. Let s be l(3). Let c be ((-6)/4)/(3 + 132/(-40)). Suppose -z + 5*i - 7 = -c*z, -5 = s*i. What are the prime factors of z? 3 Suppose -4*y = -y - 9, 2*x = -2*y + 16. Suppose n + 2*t - 75 = 0, -t + 375 = x*n + t. What are the prime factors of n? 3, 5 What are the prime factors of (-36)/16*(-3 - 607)*2? 3, 5, 61 Let v(i) = 14*i**2 - 4*i + 124. What are the prime factors of v(8)? 2, 13, 19 What are the prime factors of 216/45 + -4 - 14806/(-5)? 2, 1481 Let n(u) = 6*u - 9. Let w be n(2). Suppose 0 = -p - 2*z + 63, -2*p + w*z = -4*p + 121. What are the prime factors of p? 53 Suppose 266*x = 257*x + 7209. What are the prime factors of x? 3, 89 Let m(z) = 48*z**3 - 4*z**2 + z - 8. What are the prime factors of m(5)? 5897 Let l(y) = -2*y + 22. What are the prime factors of l(-7)? 2, 3 Let i be 0 - 4 - (6 + (-12 - 0)). Suppose -s = 3*s - d - 823, -i*s - 5*d + 417 = 0. What are the prime factors of s? 2, 103 Suppose 2*f = u - 2 + 1, 27 = 5*u + f. Suppose 0*r + 55 = u*r. What are the prime factors of r? 11 Let t be -2*(78/(-4) + -1). Let h = t + -11. List the prime factors of h. 2, 3, 5 Let t = -42 - -22. Let m = 22 + t. What are the prime factors of (152/(-10))/(m/(-5))? 2, 19 Suppose -13 = -2*f - 5. Suppose -q + 69 = f*b - 225, q + 2 = 0. What are the prime factors of b? 2, 37 List the prime factors of (-3 - (9 + -6))*-419. 2, 3, 419 Let l be 14/4 + (-12)/8. Suppose a - 2*a + l = 0. Suppose u - a = -0*u, -3*q + 4*u = -10. What are the prime factors of q? 2, 3 Suppose -15*s + 1696 = s. What are the prime factors of s? 2, 53 List the prime factors of -681*(-3)/(-6)*40/(-15). 2, 227 Let c = 38 + 158. What are the prime factors of c? 2, 7 Suppose 3*a + 4303 = 5*c, c - 7*a = -3*a + 847. What are the prime factors of c? 863 Suppose 1207 = 5*o - 383. Suppose 0 = 4*h - 698 - o. What are the prime factors of h? 2, 127 Suppose -3*p - 3*r + 106 = 2*r, -p + 38 = r. Let v be (-547820)/(-1690) + ((-22)/(-26) - 1). What are the prime factors of (-4)/(-14) + v/p? 2 Let g = 1478 - 985. What are the prime factors of g? 17, 29 Let t(b) = -b**2 - 7*b - 6. Let j(a) = 2*a + 4. Let q be j(-5). Let x be t(q). List the prime factors of (12 - (-1 - x))*1. 13 Suppose 7*r = -0*r + 35. List the prime factors of (-1145)/(-5) + r/1. 2, 3, 13 Let b(k) = 9*k - 34. Let q be b(4). Suppose q*j = -4*x + 346, -4*x + 9*j = 7*j - 342. List the prime factors of x. 2, 43 What are the prime factors of ((-323)/95)/((-8217)/(-2055) + -4)? 17, 137 Suppose -3*f = 1273 - 8266. List the prime factors of f. 3, 7, 37 Suppose -12*d + 9459 = -8*d - 3*k, -5*k + 2382 = d. List the prime factors of d. 3, 263 Let t(i) be the second derivative of -11*i**3/3 + 7*i**2/2 - 12*i. List the prime factors of t(-3). 73 Suppose 11*o - 144 + 12 = 0. List the prime factors of o. 2, 3 Let h = 151 - 141. Suppose -h*k = -12*k + 460. List the prime factors of k. 2, 5, 23 Let d = 157 - 479. List the prime factors of ((-5)/(-7)*-12)/(46/d). 2, 3, 5 Suppose -22*p = -18*p - 2040. What are the prime factors of
{ "pile_set_name": "DM Mathematics" }
What is the remainder when 180513 is divided by 692? 593 Calculate the remainder when 521046 is divided by 5789. 36 Calculate the remainder when 12366557 is divided by 8. 5 Calculate the remainder when 417013 is divided by 13450. 63 What is the remainder when 10029374 is divided by 125? 124 Calculate the remainder when 407691 is divided by 203804. 83 What is the remainder when 33600 is divided by 3984? 1728 Calculate the remainder when 7156423 is divided by 5842. 5815 Calculate the remainder when 778294 is divided by 1317. 1264 Calculate the remainder when 2458 is divided by 487. 23 Calculate the remainder when 17772697 is divided by 132. 85 Calculate the remainder when 4673395 is divided by 934675. 20 Calculate the remainder when 8600992 is divided by 8600972. 20 What is the remainder when 413547 is divided by 5906? 127 What is the remainder when 98426 is divided by 12069? 1874 Calculate the remainder when 18623 is divided by 18361. 262 What is the remainder when 52543 is divided by 10? 3 Calculate the remainder when 13690511 is divided by 5. 1 Calculate the remainder when 3517 is divided by 2669. 848 What is the remainder when 12267474 is divided by 5256? 5226 What is the remainder when 177793465 is divided by 1245? 1240 Calculate the remainder when 4046323 is divided by 337186. 91 Calculate the remainder when 124975 is divided by 124962. 13 Calculate the remainder when 1335468 is divided by 83. 81 What is the remainder when 4721473 is divided by 2093? 1758 Calculate the remainder when 181369 is divided by 11090. 3929 Calculate the remainder when 480488 is divided by 1377. 1292 What is the remainder when 195752 is divided by 25? 2 What is the remainder when 21358 is divided by 4177? 473 Calculate the remainder when 1280424 is divided by 141. 3 What is the remainder when 50467254 is divided by 23? 10 What is the remainder when 136733 is divided by 7525? 1283 Calculate the remainder when 18233268 is divided by 192. 180 What is the remainder when 65896 is divided by 537? 382 Calculate the remainder when 268322 is divided by 4707. 23 Calculate the remainder when 246813 is divided by 41130. 33 What is the remainder when 8538523 is divided by 868? 7 Calculate the remainder when 353035 is divided by 3565. 100 What is the remainder when 420007 is divided by 2800? 7 Calculate the remainder when 1658545 is divided by 2920. 2905 Calculate the remainder when 1640938 is divided by 1640926. 12 What is the remainder when 1048804 is divided by 268? 120 What is the remainder when 41568 is divided by 126? 114 What is the remainder when 9201857 is divided by 146061? 14 What is the remainder when 95380 is divided by 702? 610 Calculate the remainder when 2033754 is divided by 169434. 546 Calculate the remainder when 49281794 is divided by 38. 12 Calculate the remainder when 10105 is divided by 1509. 1051 Calculate the remainder when 27068458 is divided by 1780. 1778 Calculate the remainder when 2917146 is divided by 97. 65 Calculate the remainder when 819428 is divided by 26430. 98 What is the remainder when 398502 is divided by 1379? 1350 Calculate the remainder when 406391 is divided by 2882. 29 What is the remainder when 21905 is divided by 18681? 3224 Calculate the remainder when 31245 is divided by 786. 591 What is the remainder when 1551437 is divided by 430? 427 What is the remainder when 3714812 is divided by 928660? 172 What is the remainder when 16292 is divided by 100? 92 What is the remainder when 12345139 is divided by 6746? 6705 Calculate the remainder when 17918405 is divided by 198. 197 Calculate the remainder when 22179605 is divided by 22795. 70 Calculate the remainder when 853085128 is divided by 1770. 1768 What is the remainder when 128960 is divided by 42886? 302 What is the remainder when 448240 is divided by 706? 636 Calculate the remainder when 2980372 is divided by 993445. 37 Calculate the remainder when 1978571 is divided by 1151. 2 What is the remainder when 984283 is divided by 39371? 8 What is the remainder when 223409 is divided by 1646? 1199 What is the remainder when 446772 is divided by 14403? 279 Calculate the remainder when 1647317 is divided by 1440. 1397 Calculate the remainder when 107070 is divided by 2683. 2433 What is the remainder when 36209719 is divided by 226? 225 What is the remainder when 107374235 is divided by 26843553? 23 What is the remainder when 561872 is divided by 149? 142 What is the remainder when 497499 is divided by 338? 301 Calculate the remainder when 7533599 is divided by 443152. 15 What is the remainder when 712206 is divided by 26376? 54 Calculate the remainder when 51703646 is divided by 675. 671 Calculate the remainder when 15923 is divided by 12661. 3262 What is the remainder when 71515 is divided by 2560? 2395 What is the remainder when 4896359 is divided by 96007? 2 What is the remainder when 463535 is divided by 290? 115 Calculate the remainder when 51282 is divided by 779. 647 Calculate the remainder when 536529 is divided by 23312. 353 What is the remainder when 279999 is divided by 6? 3 What is the remainder when 440167 is divided by 9169? 55 Calculate the remainder when 3747325 is divided by 10155. 130 Calculate the remainder when 324950221 is divided by 16. 13 Calculate the remainder when 648457 is divided by 223. 196 Calculate the remainder when 152031505 is divided by 10. 5 Calculate the remainder when 234947 is divided by 1537. 1323 What is the remainder when 1006105 is divided by 2361? 319 Calculate the remainder when 406761 is divided by 387. 24 What is the remainder when 740201 is divided by 92525? 1 Calculate the remainder when 6097950 is divided by 2032639. 33 What is the remainder when 97957238 is divided by 12? 2 Calculate the remainder when 371208 is divided by 4868. 1240 What is the remainder when 18975425 is divided by 631? 624 What is the remainder when 6477 is divided by 378? 51 What is the remainder when 339580 is divided by 46? 8 Calculate the remainder when 38455 is divided by 12660. 475 Calculate the remainder when 31610156 is divided by 509839. 138 What is the remainder when 479222 is divided by 7731? 7631 Calculate the remainder when 2297259 is divided by 13922. 129 What is the remainder when 2592649 is divided by 2592630? 19 What is the remainder when 210912 is divided by 105439? 34 What is the remainder when 90822893 is divided by 21522? 53 Calculate the remainder when 2253631 is divided by 1531. 1530 What is the remainder when 87415 is divided by 3103? 531 Calculate the remainder when 1968586 is divided by 298. 296 What is the remainder when 4621458 is divided by 15? 3 What is the remainder when 103470 is divided by 2955? 45 Calculate the remainder when 221847 is divided by 8869. 122 What is the remainder when 14805838 is divided by 135? 118 What is the remainder when 1726698 is divided by 2453? 2239 Calculate the remainder when 8187556 is divided by 31. 22 What is the remainder when 89607013 is divided by 1726? 1723 Calculate the remainder when 5509869 is divided by 223. 208 What is the remainder when 3039625 is divided by 8062? 251 What is the remainder when 1242298 is divided by 195? 148 What is the remainder when 1059551 is divided by 238? 213 What is the remainder when 642888 is divided by 220? 48 Calculate the remainder when 81383226 is divided by 9. 6 Calculate the remainder when 29238 is divided by 14508. 222 Calculate the remainder when 1764651 is divided by 68. 51 Calculate the remainder when 86040 is divided by 2089. 391 Calculate the remainder when 9251 is divided by 4253. 745 Calculate the remainder when 235660 is divided by 235595. 65 What is the remainder when 47164 is divided by 79? 1 Calculate the remainder when 1712408 is divided by 52. 48 Calculate the remainder when 1078420 is divided by 1078409. 11 What is the remainder when 335297428 is divided by 2685? 2683 What is the remainder when 3322009 is divided by 69? 4 Calculate the remainder when 214808 is divided by 300. 8 What is the remainder when 963954 is divided by 17849? 108 Calculate the remainder when 181262 is divided by 7484. 1646 What is the remainder when 298453 is divided by 42271? 2556 What is the remainder when 402646 is divided by 1657? 1652 Calculate the remainder when 130479
{ "pile_set_name": "DM Mathematics" }
alculate j(b(s)). -53868*s**4 Let m(n) = -10*n**2 - 58*n. Let y(x) = 13*x. Determine y(m(k)). -130*k**2 - 754*k Let w(j) = -3*j + 2*j - 3*j. Let b = 6 + -4. Let k(n) = -b + 2 + n**2. Give k(w(f)). 16*f**2 Let a(p) be the third derivative of p**4/24 + 8*p**2. Let t(z) = 9*z. Calculate a(t(y)). 9*y Let z(s) = 647*s. Let c(w) = w. Calculate c(z(u)). 647*u Let h(b) = -1556*b**2. Let r(t) = 2*t**2. Determine h(r(y)). -6224*y**4 Let m(c) = 89*c - 1. Let w(k) = k**2. Calculate m(w(j)). 89*j**2 - 1 Let s(l) = -3*l**2. Let k(w) = -2*w**2 + 3*w + 3. Let r = 11 - 17. Let h(j) = -j**2 + 2*j + 2. Let y(p) = r*h(p) + 4*k(p). What is y(s(x))? -18*x**4 Let c(n) = -11*n**2 - 2. Let v(x) = -6*x**2 - 1. Let z(j) = c(j) - 2*v(j). Let u(a) be the first derivative of -5*a**2/2 + 1. Calculate z(u(o)). 25*o**2 Let o(f) be the second derivative of f**6/120 + f**3/2 + 3*f. Let j(v) be the second derivative of o(v). Let s(w) = w. Calculate s(j(n)). 3*n**2 Let w(m) = 0*m**2 - 2*m**2 + 4*m**2. Let s(i) be the first derivative of 0*i - 5 + 0*i**2 - 1/3*i**3. Calculate w(s(f)). 2*f**4 Let w(p) = -19*p**2. Let n(j) = -9*j**2 + 2. Give n(w(f)). -3249*f**4 + 2 Let k(q) = 16*q. Let h(i) = 5*i**2 - 10*i**2 + 2*i**2 + 4*i**2. Determine h(k(r)). 256*r**2 Let r(h) = -h + 1. Let n(j) = -6*j + 4. Let x(s) = -n(s) + 4*r(s). Let l(m) = m - 1. Let c(w) = -w**2 - w + 1. Let o(i) = -c(i) - l(i). Calculate x(o(k)). 2*k**2 Let f(z) = -4*z. Let c(b) = b**2 + 2*b + 2. Let x(j) = j**2 + j + 1. Let n(s) = -c(s) + 2*x(s). Give f(n(u)). -4*u**2 Let d(q) be the third derivative of 5*q**4/24 - 11*q**2. Let s(u) = -u. Calculate d(s(g)). -5*g Let b(j) = 6*j + 0*j - 13 + 13. Let o(n) = -n. Determine b(o(h)). -6*h Let c(r) = 0*r - 2*r + r. Let m(v) be the first derivative of v**3/6 + v + 2. Let t(a) be the first derivative of m(a). Calculate t(c(b)). -b Let j(k) = -2*k. Let t = -4 + 20. Suppose 0 = 4*v - 5*d - t, -4*v + 16 = -d + 5*d. Let f(h) = h + v*h - 7*h + h. Determine j(f(q)). 2*q Let b(d) = 4*d. Let t be ((-9)/6)/(6/(-8)). Let v(g) = t - 2 + 2*g. Give v(b(a)). 8*a Let w(s) = -34*s + 2. Let y(p) = -9*p. Calculate y(w(c)). 306*c - 18 Let h(o) = o + 1. Let i(r) = -4*r - 2. Let l(f) = 2*h(f) + i(f). Let c(y) be the second derivative of -y**4/12 - y. Determine l(c(d)). 2*d**2 Let w(f) = 2*f. Let g(t) = -t**2 - 3. Suppose 5*v = 2*v - 9. Let c(u) = 3*u**2 + 7. Let h(d) = v*c(d) - 7*g(d). Determine w(h(q)). -4*q**2 Let a(z) = 2*z - 4430. Let t(m) = 2*m**2. What is a(t(d))? 4*d**2 - 4430 Let t(p) be the first derivative of p**3/3 - 12. Let j(n) = -16*n. Determine j(t(b)). -16*b**2 Let y(l) = -l + 1. Let d be y(-1). Suppose h + d*q = 8, 3*q + 0*q = -2*h + 12. Let g(b) = 0*b - 2*b + h*b. Let j(m) = 2*m. What is g(j(i))? -4*i Let w(t) be the second derivative of -t**3/6 + 7*t. Let d(k) = -k. Calculate w(d(x)). x Let z(i) be the second derivative of -i**4/6 - i - 8. Suppose b - 1 = 2. Let y(n) = 3 - 3*n - b. What is y(z(w))? 6*w**2 Let o(w) = -3*w**2. Let y(z) = 3*z**2 - 64. Give o(y(a)). -27*a**4 + 1152*a**2 - 12288 Let h(l) = 1245*l**2. Let a(d) = d. Calculate a(h(n)). 1245*n**2 Let w(n) = 916*n**2. Let d(a) = a. Determine w(d(l)). 916*l**2 Let b(f) = -8*f. Let y(q) = 5*q**2 - 3*q - 3. Let n(l) = 56*l**2 - 34*l - 34. Let w(x) = 6*n(x) - 68*y(x). Determine w(b(u)). -256*u**2 Let r(h) = -11 + 11 - 184*h + 183*h. Let w(p) be the third derivative of -p**4/24 + p**2. Calculate r(w(j)). j Let s(p) = -587*p**2. Let q(i) = -11*i. Calculate s(q(y)). -71027*y**2 Let n(m) = -2*m**2 + 7*m. Let b(o) = o**2 - 4*o. Let k(a) = -7*b(a) - 4*n(a). Let r(t) = 3*t**2. Give k(r(g)). 9*g**4 Let c(w) = -w**2 + w + 1. Let g = -24 - 6. Let p(j) = 7*j**2 - 6*j - 6. Let b(h) = g*c(h) - 5*p(h). Let y(o) = 3*o. What is y(b(s))? -15*s**2 Let p(g) = -8*g - 6. Let t(x) = 9*x + 7. Let y(w) = 7*p(w) + 6*t(w). Let l(m) = -26*m**2. Give y(l(b)). 52*b**2 Let f(v) = -v**2. Let a(b) = -572*b. Give a(f(o)). 572*o**2 Let c(t) = 0*t**2 + 5*t**2 + 0*t**2. Let l(z) be the first derivative of z**3/6 - z + 2. Let a(p) be the first derivative of l(p). Give c(a(q)). 5*q**2 Let s(u) = 4*u**2. Suppose -k + 3*k - 4 = 0. Let z(l) = 0 - 2 + k - 2*l. What is s(z(w))? 16*w**2 Let z(j) = 7*j**2. Let b(c) = -4*c + 13. Let h(w) = 2*w - 6. Let p(f) = 6*b(f) + 13*h(f). Determine p(z(g)). 14*g**2 Let w(m) = -1351*m**2. Let b(q) = 2*q. Calculate b(w(d)). -2702*d**2 Let p = 11 + -9. Let q(y) = -2*y**2 - y - y + p*y. Let t(s) = -2*s**2. What is q(t(m))? -8*m**4 Let o(k) = -117*k + 117*k - 8*k**2 + 27*k**2. Let d(j) = 4*j**2. What is d(o(h))? 1444*h**4 Let o(n) be the second derivative of -n**4/6 + 14*n. Let b be (-14)/(-4) + (-2)/(-4). Let r(t) = -4*t - t**2 + b*t. Determine r(o(s)). -4*s**4 Let n(p) be the first derivative of 3*p**2 - 2*p**2 + 1 - 4*p**2 + 5*p**2. Let m(w) = 2*w. What is m(n(c))? 8*c Let q(o) = 2*o**2. Let p(v) = -500*v. Calculate q(p(y)). 500000*y**2 Let h(k) = -15*k. Let s(d) = 191*d. Give h(s(a)). -2865*a Let h(p) be the third derivative of -p**5/30 + 5*p**2. Let y(l) = 17*l. What is y(h(j))? -34*j**2 Suppose -4 = -0*z - 2*z. Let w(r) = -r - 6*r + z*r + 3*r. Let q(n) = 2*n. Determine q(w(x)). -4*x Let d(w) = -22*w. Let t(m) = -m - 1747 + 1747. Calculate t(d(x)). 22*x Suppose 0 = -5*p - 5*m + 45, p + 32 = 4*p + 4*m. Let q(g) = p*g - 5*g + g + 3*g. Let i(n) = -4*n**2. Determine i(q(k)). -36*k**2 Suppose 0*y - 19 = -4*y + m, -3*y = -2*m - 8. Let f(d) = -5*d**2 + 2 - 2 + y*d**2. Let q(k) = -k. What is q(f(j))? -j**2 Let p(x) = -4*x**2. Let z(s) be the first derivative of 1/2*s**2 + 5 + 0*s. Give p(z(b)). -4*b**2 Let f(m) = m. Let l(i) = 248*i**2. Calculate f(l(b)). 248*b**2 Let s = -2 - -4. Let p = s + 0. Let i(u) = 0*u**2 + u**2 + 0*u**p - 2*u**2. Let o(v) = -v**2. What is o(i(y))? -y**4 Let v(q) = -9*q. Let d(f) be the first derivative of 7*f**3/3 + 18. What is d(v(b))? 567*b**2 Let y(i) = 265*i - 5. Let h(k) = 6*k. What is h(y(l))? 1590*l - 30 Let o(l) = -11*l. Let v(p) be the third derivative of -p**4/4 + p**2 + 10*p. Give o(v(t)). 66*t Suppose -9 + 0 = -x. Let v(n) = -19*n + 8*n + x*n. Let i(p) = -2*p**2. Give v(i(u)). 4*u**2 Let c(n) be the first derivative of n**2/2 + 6*n + 5. Let q(a) = 1. Let d(i) = -c(i) + 6*q(i). Let f(l) = 2*l**2. Calculate d(f(h)). -2*h**2 Let d(r) = -r - 12. Let p(g) = -2*g**2 - 4*g. Let v(t) = -3*t**2 - 5*t. Let x(b) = 5*p(b) - 4*v(b). What is d(x(j))? -2*j**2 - 12 Let o(c) = -c. Let n(m) = 14*m**2 + 22. What is o(n(x))? -14*x**2 - 22 Let m(r) = 1620*r. Let h(f) = -2*f**2. What is m(h(z))? -3240*z**2 Let s(c) = -c**2. Let h(x) = -36*x + 41. What is s(h(i))? -1296*i**2 + 2952*i - 1681 Let q(f) = -2*f. Let l(k) = k - 138. Calculate q(l(u)). -2*u + 276 Let r(v) = -15*v. Let h(b) = -12*b**2. Calculate h(r(z)). -2700*z**2 Let d(n) = 90*n**2 - 2*n. Let k(s) = -s**2. What is d(k(y))? 90*y**4 + 2*y**2 Let g(u) = 10*u - 19. Let y(v) = 10*v**2. Determine g(y(s)). 100*s**2 - 19 Let k(x) = -5*x. Let q(l) = -34*l. What is k(q(m))? 170*m Let l(c) = -12*c + 8*c + 6*c. Let o(y) = -2*y**2. Calculate l(o(d)). -4*d**2 Let z(w) = w - w + 4*w. Let o(k) = 2*k**2 - 12768 + 12768. Calculate z(o(c)). 8*c**2 Let q(m) = -4*m**2. Let k(g) = 4188*g**2. Give k(q(z)). 67008*z**4 Let s(t) = 2*t**2 - 3*t**2 - 2*t**2. Let m be (-2)/(-7) - 47/(-7). Let c(r) = m*r - 11*r + 5*r. Give c(s(b)). -3*b**2 Let z(o) = 29*o - 58*o + 28*o. Let n(l) be the first derivative of 4*l**3/3 + 1. Give z(n(s)). -4*s**2 Let o(m) be the second derivative of -m**5/6 + 5*m**2/2 - 3*m. Let k(d) be the first derivative of o(d). Let y(s) = 2*s**2. Determine y(k(h)). 200*h**4 Let t(u) = 78*u**2 - 34. Let i(s) = -7*s**2 + 3. Let z(n) = -68*i(n) - 6*t(n). Let h(m) = -m**2. Calculate h(z(y)). -64*y**4 Let l(n) = -n. Let g(w) = -13*w**2 + 4. Let c(i) = -i**2 + 1. Let u = -10 - -4. Let q = -2 - u. Let s(m) = q*c(m) - g(m). Calculate l(s(f)). -9*f**2 Let x(m) be the second derivative of 0*m**2 - 1/6*m**3 + 0 + 5*m. Let s(f) = 2*f. What is s(x(b))? -2*b Let h be 13/3 + (-6)/18. Let a(j) = h*j - 3*j + 5*j - 3*j. Let m(z) = 2*z**2. What is m(a(v))? 18*v**2 Let j(a) = -4*a**2 - 5*a + 10. Let k(f) = 3*f**2 + 4*f - 8. Let s(w) = -4*j(w) - 5*k(w). Let c(g) = -68*g**2. Determine c(s(l)). -68*l**4 Let v(m) = -5*m - 6*m + 6*m. Let n(q) = -q. What is v(n(a))? 5*a Let d(p) = 4*p**2. Let u(n) = n
{ "pile_set_name": "DM Mathematics" }
000101 Convert 33889 (base 10) to base 13. 1256b -5de (base 15) to base 7 -3614 210112 (base 3) to base 8 1105 2201011020 (base 3) to base 4 31001103 Convert -10001101011000 (base 2) to base 7. -35244 Convert 78 (base 9) to base 7. 131 14b7 (base 13) to base 10 3023 Convert 54 (base 15) to base 7. 142 Convert -403430 (base 5) to base 14. -4a3c What is 506 (base 8) in base 4? 11012 -11001110 (base 2) to base 9 -248 -310 (base 6) to base 8 -162 What is -1227 (base 14) in base 16? -c63 Convert 51074 (base 9) to base 2. 1000001101000001 What is -182 (base 10) in base 5? -1212 What is 2629 (base 16) in base 6? 113121 Convert 100540 (base 6) to base 13. 382b What is -1454 (base 10) in base 12? -a12 Convert -25a8 (base 12) to base 4. -1003100 What is 194 (base 13) in base 6? 1202 2637 (base 8) to base 16 59f What is -314141 (base 6) in base 8? -61715 16363 (base 7) to base 9 6337 203430 (base 6) to base 5 1010422 Convert 62 (base 8) to base 2. 110010 Convert -2422 (base 6) to base 15. -295 12332 (base 4) to base 7 1205 Convert 249 (base 10) to base 12. 189 What is 531 (base 10) in base 5? 4111 What is -5a6 (base 11) in base 10? -721 Convert -453 (base 8) to base 2. -100101011 What is 438 (base 9) in base 14? 1b9 Convert -55c (base 13) to base 6. -4134 What is -22201220 (base 3) in base 14? -246d -3232 (base 4) to base 3 -22211 0 (base 13) to base 8 0 What is -203112 (base 6) in base 3? -211021122 What is -211112 (base 3) in base 15? -2a8 Convert -34004 (base 9) to base 14. -8347 1340 (base 5) to base 11 190 1c52 (base 13) to base 16 10c4 What is 10df8 (base 16) in base 11? 47a1a -778 (base 9) to base 14 -338 Convert -1221c (base 14) to base 3. -2020210120 -31232 (base 5) to base 4 -200103 What is 25c (base 13) in base 7? 1132 Convert -482 (base 9) to base 5. -3043 -185 (base 16) to base 14 -1db What is -10111100010 (base 2) in base 15? -6a6 What is 23312 (base 4) in base 13? 464 What is -102101112 (base 3) in base 8? -20157 -1000000100011 (base 2) to base 7 -15021 What is 51 (base 7) in base 15? 26 -31011020 (base 4) to base 7 -312125 What is 10111100000 (base 2) in base 5? 22004 What is 9c58 (base 14) in base 2? 110100111110110 Convert -1d9 (base 16) to base 9. -575 What is -37522 (base 9) in base 7? -133334 What is 1545 (base 9) in base 5? 14200 -2a02 (base 11) to base 2 -111100100010 Convert -20d7 (base 14) to base 10. -5677 -1565 (base 15) to base 13 -2126 Convert -19569 (base 15) to base 8. -240460 What is -884 (base 13) in base 3? -2000002 197d (base 14) to base 2 1001000001011 What is -195b (base 12) in base 10? -3095 Convert 1643 (base 10) to base 8. 3153 What is 5217 (base 14) in base 13? 6582 1100100010010 (base 2) to base 3 22210201 Convert 214 (base 7) to base 15. 74 110010000000010 (base 2) to base 16 6402 What is -10245 (base 6) in base 2? -10101110101 What is -11000101001000 (base 2) in base 13? -5986 Convert 13413 (base 5) to base 9. 1461 Convert -1416 (base 8) to base 5. -11112 -617 (base 11) to base 3 -1000120 What is -1634 (base 9) in base 8? -2336 What is -ef67 (base 16) in base 15? -1325c 44220 (base 5) to base 7 11631 Convert 2013 (base 5) to base 6. 1110 -1619 (base 11) to base 13 -c3a What is -230123 (base 4) in base 5? -42333 -54650 (base 7) to base 12 -7b22 What is -212114 (base 5) in base 12? -4187 -234256 (base 7) to base 2 -1010010101011000 7596 (base 12) to base 9 18656 Convert 502305 (base 6) to base 10. 39425 -446312 (base 7) to base 6 -1405542 11001101010 (base 2) to base 13 994 24431 (base 8) to base 16 2919 -4469 (base 11) to base 6 -43123 -87 (base 10) to base 16 -57 -1521 (base 9) to base 8 -2201 What is -2bb (base 12) in base 6? -1555 What is 12311 (base 4) in base 13? 278 b3 (base 12) to base 8 207 Convert -14831 (base 9) to base 8. -23651 What is -1010110010111 (base 2) in base 4? -1112113 What is 275 (base 14) in base 6? 2143 1327 (base 10) to base 6 10051 1543 (base 12) to base 2 100111000011 What is 14a (base 16) in base 11? 280 What is 14479 (base 13) in base 9? 57261 Convert -1936 (base 15) to base 13. -2634 d2d (base 14) to base 13 1242 What is 6604 (base 7) in base 15? a71 What is 151 (base 8) in base 3? 10220 What is -525 (base 6) in base 11? -16a 1087 (base 13) to base 4 210010 What is 9b (base 16) in base 15? a5 -22301 (base 5) to base 11 -1203 Convert -510 (base 10) to base 5. -4020 Convert 1262 (base 8) to base 4. 22302 Convert 21052 (base 6) to base 3. 10220012 Convert 2230332 (base 4) to base 8. 25476 What is -893 (base 14) in base 2? -11010100001 Convert -200110202 (base 3) to base 2. -11010010011010 Convert 418 (base 9) to base 11. 290 3a5 (base 12) to base 10 557 Convert 41121 (base 6) to base 9. 7424 19b6 (base 12) to base 15 e0c What is -1438 (base 9) in base 4? -101000 3d6 (base 15) to base 14 468 What is -4837 (base 11) in base 12? -37b8 9062 (base 12) to base 2 11110100001010 Convert 1168 (base 15) to base 12. 2182 1110000000001 (base 2) to base 10 7169 20200 (base 3) to base 10 180 What is 977 (base 10) in base 12? 695 Convert -a47 (base 11) to base 7. -3451 1102200000 (base 3) to base 14 a3b6 What is -5286 (base 14) in base 3? -201112001 Convert 34cc (base 14) to base 11. 6a00 Convert -1000111010 (base 2) to base 3. -210010 What is -34043 (base 9) in base 4? -11201232 What is -4635 (base 16) in base 8? -43065 -3331 (base 6) to base 8 -1407 1000210 (base 3) to base 14 3b8 What is -1244 (base 5) in base 3? -21101 2a9 (base 15) to base 7 1530 Convert -435 (base 12) to base 6. -2505 Convert -6544 (base 8) to base 7. -12665 What is 10001110000 (base 2) in base 8? 2160 Convert -1132410 (base 5) to base 8. -50764 Convert b1 (base 13) to base 3. 12100 What is 302010 (base 4) in base 8? 6204 What is -21130 (base 8) in base 13? -4004 What is 121547 (base 8) in base 3? 2010101022 -2421 (base 12) to base 16 -fd9 What is -11221 (base 8) in base 7? -16600 Convert 62102 (base 10) to base 7. 346025 -3423 (base 11) to base 12 -2732 Convert -416 (base 8) to base 13. -17a -34434 (base 6) to base 3 -20202011 What is -37287 (base 11) in base 10? -53577 20201 (base 3) to base 13 10c Convert 32130 (base 7) to base 6. 100503 Convert -1749 (base 14) to base 2. -1000001010101 Convert 6456 (base 12) to base 14. 4026 332115 (base 6) to base 13 c7b5 Convert -21a4 (base 11) to base 4. -231101 101100010111 (base 2) to base 11 2151 -1047 (base 11) to base 9 -1805 What is 2103033 (base 4) in base 11? 7097 Convert -222221 (base 3) to base 11. -601 148 (base 10) to base 9 174 What is -375 (base 8) in base 14? -141 Convert -5a7 (base 11) to base 16. -2d2 Convert -1121202 (base 4) to base 11. -433a 2204342 (base 5) to base 2 1001010011010001 Convert -16831 (base 11) to base 13. -a9a8 -7421 (base 10) to base 3 -101011212 What is -73 (base 14) in base 8? -145 Convert 464 (base 8) to base 3. 102102 Convert -42210 (base 5) to base 14. -1045 What is -5b97 (base 13) in base 15? -3c98 -145243 (base 6) to base 5 -423024 What is -11111101000101 (base 2) in base 3? -211012220 -1a4 (base 11) to base 9 -281 What is 1324313 (base 5) in base 12? 13641 a0dd (base 14) to base 12 13bab 82b (base 14) to base 3 2012112 Convert 17476 (base 11) to base 4. 11333031 -100110101 (base 2) to base 4 -10311 Convert -4618 (base 13) to base 8. -23137 514 (base 7) to base 16 100 What is 9837 (base 11) in base 3? 122211000 60b6 (base 15) to base 9 31010 What is -662 (base 8) in base 10? -434 What is 135 (base 16) in base 9? 373 Convert -24de (base 15) to base 6. -100215 23321103 (base 4) to base 7 262023 What is -2a5 (base 13) in base 7? -1244 Convert 4339 (base 11) to base 13. 27b9 Convert -34566 (base 8) to base 11. -10063 25221 (base 6) to base 8 7255 124a (base 12) to base 7 6022 What is -1197 (base 14) in base 13? -1525 648 (base 12) to base 7 2453 Convert 740 (base 13) to base 14. 643 Convert -2221211 (base 5) to base 11. -27282 What is 3142 (base 12) in base 2? 1010100000010 -5421 (base 7) to base 10 -1926 Convert 125 (base 12) to base 8. 255 11786 (base 12) to base 7 125505 Convert -210205 (base 7) to base 8. -106426 Convert -9570 (base 11) to base 6. -134341 2313 (base 8) to base 13 735 -1100001010 (base 2) to base 14 -3d8 Convert 23213313 (base 4) to base 6. 1004223 What is -8546 (base 16) in base 14? -c610 -114c (base 14) to base 8 -5700 C
{ "pile_set_name": "DM Mathematics" }
) 1/6 (b) 0 (c) f a Let w be (-42)/(-10) - 4 - 6/(-70). Which is the nearest to 0? (a) -0.5 (b) 2/11 (c) w b Let w = 39.9 + -40.2. Which is the closest to 0.1? (a) w (b) 3/16 (c) 0.1 c Let v = 39.957 + 0.043. Let t = -39 + v. Which is the nearest to 1/3? (a) t (b) -1 (c) -5 a Let g = 0.2 + -0.4. Let n = g - -0.3. Let z = 104/5 - 21. Which is the nearest to 0? (a) n (b) z (c) -0.3 a Let o = 5114/7 - 731. Which is the closest to 5/6? (a) -3 (b) 2 (c) 0 (d) o c Let s = 0.06 - -0.44. Let p = 1 - 0.6. Let l = 4344 - 4343. Which is the nearest to l? (a) 5 (b) s (c) p b Suppose -3*g + 109 = 151. What is the nearest to 0 in -0.3, g, -0.7? -0.3 Let g = 1970.3 - 1970. Suppose -r = -4 + 2. Suppose r*q = -0*q - 2. Which is the nearest to 2/23? (a) g (b) 0 (c) q b Let k = 118 - 104. Let z be ((-8)/k)/(24/28). Which is the closest to z? (a) 2/7 (b) 2 (c) 1/5 c Suppose -12*g = -9*g + 3. Which is the closest to -1/18? (a) 0.3 (b) -0.2 (c) g (d) -8 b Let j(m) = m**2 + 2*m - 11. Let c be j(-5). Suppose -4*b - 44 + c = 0. Let q be -1 - (b/(-6) + -2). What is the closest to -0.1 in -5, q, 0.3? 0.3 Let j = 4241/10 - 849/2. Let x = -2 - -1.7. Which is the nearest to j? (a) 2/9 (b) 0.4 (c) x c Let p = -0.227 + -0.073. Which is the closest to 0? (a) -2/5 (b) p (c) 17 b Let s = 1.72 - 1.637. Let u = s + -0.483. What is the closest to -0.1 in 5, 0.4, u? u Let x = 145/4 - 1027/28. Which is the closest to x? (a) -0.3 (b) 0.2 (c) -1/15 a Let x = -0.034 - 0.166. What is the nearest to x in -2/11, -3/5, -0.1? -2/11 Let u = -197 - -198. Which is the nearest to u? (a) -1 (b) -4 (c) 15/13 c Let c = 0.1 + -0.3. Let s = 0.35 + 0.65. Let t be 16/28*(-14)/(-20). What is the closest to s in c, 1/2, t? 1/2 Let p be (-6)/(-4) + (-400)/(-32). Suppose -13*d = -p*d + 43. Let u = d - 39. What is the closest to 0 in 4/7, 5, u? 4/7 Let c = -1 - -3. Let x = -153.83 + 154.23. What is the closest to -1/3 in -0.5, x, c? -0.5 Suppose 69*z - 28 = -97. What is the nearest to 0 in -0.3, -30, 2, z? -0.3 Let m = -729 - -732.5. Let v = 14 - 10.6. Let r = m - v. What is the closest to r in 0.5, -0.2, 3/5? -0.2 Suppose -3*i - i = 0, -2*v - 3*i = -10. Let z be -14 + 13 - ((1 - 0) + -2). Let q be (-20)/(-8)*(-2)/(-2). Which is the nearest to 0? (a) z (b) v (c) q a Let l = -1.3 + 0.3. Let i = 0.5 + l. Let u = -17.7 + 10.7. Which is the closest to u? (a) i (b) 0 (c) 5 a Let l be 24/28*(-98)/(-2). Let v = l - 60. Let q be v/(-81) + 8/(-117). Which is the nearest to 0? (a) -4 (b) -5 (c) q c Let c = -11 - -14. Suppose -c*p - 5*z = -4, p + 6 = 4*p + 3*z. Suppose p*l + k - 3*k = -7, -2*k + 8 = -4*l. What is the nearest to l in -5, -1, 1? -1 Let p be (-4)/88*-23 + -1. Let n = -9/44 - p. Let b = -6.7 - -7. What is the closest to n in b, 5, 2/11? 2/11 Let x = 2/33 + -8/33. Which is the closest to 0.1? (a) 0.1 (b) x (c) 1/2 a Let c = -85/4 - -429/20. What is the nearest to 2 in 4, c, -1/4? c Suppose 5*o = -16 - 4. What is the nearest to -20 in -1/3, o, 1/4, -1? o Let n = -7.884 + 0.084. Let t = -4 - -12. Let v = t + n. Which is the closest to v? (a) 2 (b) -0.5 (c) -1 b Let a(q) = -4*q - 38. Let h be a(-14). Suppose -4*c = -6 + h. What is the nearest to -1 in c, 1/9, 0.2? 1/9 Let z = -43.1 - -43. Let a = 18 + -18.2. Suppose 3*w = 5*k + 25, 5*k - w - 4*w + 25 = 0. What is the nearest to 0.1 in z, a, k? z Let v = 30 + -31.1. Let r = -14.3 - -16. Let h = r + v. Which is the nearest to 0? (a) 1/2 (b) h (c) -5 a Let g = 3 + -3. Let p = -386 + 4248/11. Which is the closest to -2? (a) p (b) g (c) -5 b Let l = 86 - 85.7. Let x = -15 + 14. Which is the nearest to x? (a) -4 (b) -0.7 (c) l b Let u be 9/(-4) + 4 + -2. Let o = -510 - -1529/3. What is the nearest to -0.1 in o, u, 1? u Let v be 14/(-18) + 4/(-18). Let a = -0.034 - -0.134. What is the nearest to 1/4 in v, a, -0.2? a Let g = 27.2 - 26.2. Which is the closest to 1? (a) -0.05 (b) -5/2 (c) g c Let i be 2/(-8) + (-165)/(-180). Suppose x + 4*l - 13 = 0, 3*l - l = -4*x + 10. Let w be 0 + x + 0/2. Which is the nearest to -1/2? (a) -0.2 (b) w (c) i a Let x = -112 + 108. What is the closest to -0.2 in -2.6, x, 0.2? 0.2 Let r = 80/3 + -1843/69. Let v = r + 53/161. Which is the closest to -5? (a) 0.2 (b) 4 (c) v a Let k = -0.027 + -2.973. What is the nearest to 3 in k, 2, 1, -5/6? 2 Let o = 1.939 + 0.061. Suppose 0 = -3*w + 4*d - 195, -w + 3*d + 78 = -2*w. Let h be w/(-12) + -3 - 3. Which is the closest to -2/5? (a) -0.2 (b) o (c) h c Let w be (-5)/(60/39) - -3. Which is the nearest to -1/3? (a) w (b) 5 (c) -15 a Let a = -1/8 - 1/8. Let o be 1/(-5)*(-7 - 88/(-24)). What is the nearest to o in -2/9, 5, a? -2/9 Let b = -3.8 + 3.7. Let u be ((-1)/5)/((-27)/15 + 1). What is the closest to b in u, -4, -4/9? -4/9 Let u = 6.6 - 2.52. Let v = -0.08 + u. Let n = -4.2 + 4.4. Which is the closest to -2/5? (a) n (b) 5 (c) v a Let h = -0.236 - 6.764. What is the nearest to h in -1, -4, 5, -6? -6 Let u = -69/20 + 16/5. Let i = -531/7 - -76. Suppose 3*v + 5*n - 7 = 0, v - 1 = -n - 2. Which is the closest to u? (a) -0.5 (b) i (c) v a Let h = -3443/10 + 689/2. What is the closest to 73 in h, 6/11, -4/3? 6/11 Let o = 7.16 + -0.16. Let b = 7.3 - o. Let h be (-7)/20 + (-3)/((-90)/(-12)). What is the nearest to -1 in h, b, -3? h Let o = -29.3 - -29.2. What is the closest to 1 in 3, -7, o? o Let j be (-8)/(-18)*(-6)/4. Let d be 3/(-9)*(-105)/7. Let o be -1*-2*(d/10 - -2). What is the nearest to -0.1 in 0.2, o, j? 0.2 Let g = -132 + 132.2. What is the nearest to 0.1 in g, 1/18, -5? 1/18 Let k = -1460/19 + 46280/627. Let h = 4/11 + k. What is the nearest to h in 1, -2, -0.5? -2 Let d(x) = x**3 - 12*x**2 - 13. Let r be d(12). Let v = -25/2 - r. Let m = 9 + -8.8. Which is the closest to m? (a) v (b) 1 (c) 0 c Suppose 7*i + 312 = i. Let p = i + 464/9. Let l = 0 - -0.2. What is the closest to -1/2 in l, 5, p? p Let f = -886 + 3537/4. Which is the closest to -2/3? (a) -2/3 (b) -2 (c) f a Let v = -174 + 170. Let o = 4.952 + 0.048. Let k = 0.02 + 0.88. Which is the closest to k? (a) v (b) o (c) 0.5 c Let u = -0.792 - 0.208. Which is the nearest to u? (a) -1/3 (b) 3 (c) 0.1 a Let r = 1152 - 1155. Let h = 0.35 + 0.05. What is the closest to r in 5, -0.5, h? -0.5 Let p be 5/3*63/15. Which is the closest to 1? (a) 4 (b) p (c) 0.44 (d) -0.2 c Suppose 0 = -2*f - 0*f + 4. Let i be f/10 - (-312)/990. Let k = i - 2/11. Which is the closest to -2? (a) k (b) 4/5 (c) 0 c Suppose 4*v - 74 = -5*l, -3*v + 78 = 5*l - 0. Let z = 31 - l. Let j be z/(-78) + (-1)/6. Which is the closest to j? (a) -5/2 (b) 3 (c) 0 c Let s = -1.05 - -1. Let q = 7.81 - 7.31. What is the closest to 1/3 in s, -2/3, q? q Let j = -433/102 - -75/17. Which is the closest to 2/3? (a) 1 (b) j (c) -2/7 (d) -3 a Let d = -0.0361 + 0.0161. Which is the closest to -0.1? (a) 8 (b) d (c) 3 b Let n = -223 + 2011/9. Which is the nearest to -1? (a) n (b) -2 (c) 2 (d) -1 d Let k = 227 + -222. What is the closest to -7/3 in 1, 0.3, k? 0.3 Let k = 16 + -13.3. Let h = k + -3. Let i be -1*(48/(-105) - 24/(-40)). What is the closest to 1 in h, 7, i? i Let k be 2 - (-136)/(-78) - (-4)/6. Let n = -22629 - -1470812/65. Let s = k + n. What is the closest to s in 2, 1, 4? 1 Let w = 126.077 - 126. Let r = w + 4.023. Let k = 0.1 - r. Which is the closest to 2? (a) k (b) 2 (c) 0.3 b Let i = 3 - 4. Let l = 66.5 - 69.5. What is the nearest to 0 in i, l, -2? i Let y = 1607/5 - 321. Which is the nearest to 2? (a) 2/3 (b) y (c) -0.2 (d) 3/2 d Let o = -7 + 3. Let z = 743 + -746. Which is the nearest to 0.1? (a) z (b) o (c) 3 c Let k = 20 + -133. Let i = k + 115. What is the nearest to i in -0.3, 5, -1/5? -1/5 Let l = 24.989 - -0.011. Let n = l - 25.11. Let j = 1.11 + n. What is the closest to j in -1, 0.2, 5/2? 0.2 Let s = -0.09 + -1.91. Let u = 22.6 + -3.3. Let p = u + -19. What is the nearest to 1 in p, 5, s? p Let u = -13 + 13.3. Let x(m) = m**2 - 3*m - 5. Let b be x(4). What is the closest to 0.1 in b, u, -4? u Let x = -184 - -187. Let f = 0.13 + 0.17. Which is the closest to 2/9? (a) f (b) x (c) 1/5 c Let n = 1/232238 + 12656769/46912076. Let x = -2/101 + n. Let g = -90 - -89. What is the nearest to 0 in 2/7, g, x? x Let l = -91 + 46. Let d =
{ "pile_set_name": "DM Mathematics" }
3. Factor x(m). -(m - 1)**2*(m + 1)/2 Suppose 2*f + z = 24, 3*f + 5*z - 32 = 11. Let a(p) be the second derivative of 2/3*p**3 + 0 - 3/5*p**5 - 2/3*p**4 + 0*p**2 - f*p. Let a(r) = 0. What is r? -1, 0, 1/3 Let o be -35*(-28)/60 - 13. Let o*s**4 - 80/3*s + 32/3 - 40/3*s**3 - 1/3*s**5 + 80/3*s**2 = 0. What is s? 2 Factor 24/5 + 8/5*v - 2/5*v**3 - 6/5*v**2. -2*(v - 2)*(v + 2)*(v + 3)/5 Factor 216 + 669*i - 2*i**3 + 615*i + 30*i**2 - 1428*i. -2*(i - 6)**2*(i - 3) Let t(u) be the second derivative of u**5/70 - u**4/21 + 67*u + 2. Determine b so that t(b) = 0. 0, 2 Let s(q) be the second derivative of -q**5/60 - q**4/36 + 28*q**3/9 + 572*q. Suppose s(h) = 0. What is h? -8, 0, 7 Factor 18/5 - 2/5*m**2 + 0*m. -2*(m - 3)*(m + 3)/5 Let -5/2*l + 3/2*l**2 + 1/2*l**4 - 2 + 5/2*l**3 = 0. What is l? -4, -1, 1 Let f(d) be the third derivative of -d**6/1980 - d**5/165 + 5*d**3/3 - 10*d**2. Let a(p) be the first derivative of f(p). Factor a(c). -2*c*(c + 4)/11 Let q(b) be the first derivative of -b**6/10 + 8*b**5/15 - 2*b**4/3 - 9*b**2/2 + 6. Let i(d) be the second derivative of q(d). What is x in i(x) = 0? 0, 2/3, 2 Let l(f) be the second derivative of -3*f**5/40 - f**4/4 + f**3/4 + 3*f**2/2 + 361*f. Factor l(r). -3*(r - 1)*(r + 1)*(r + 2)/2 Suppose -48 = -12*k + 24. Let v(u) be the first derivative of 0*u**2 - 1 - 1/5*u**5 - 1/4*u**4 + 0*u - 1/18*u**k - 1/9*u**3. Factor v(n). -n**2*(n + 1)**3/3 Suppose -5*m + 5*c = 0, 3*m - 4*c - 3 = -5. Suppose -m*k = -3*k - h - 3, -2*h = 5*k. What is w in 81 - 81 + k*w**2 = 0? 0 Let y be (-24)/(-3) + -14 + (-180)/(-27). Let v be (-21)/9 - (-2 + -1). Factor -2/3*p**5 + 0*p + 0 + y*p**3 + v*p**2 - 2/3*p**4. -2*p**2*(p - 1)*(p + 1)**2/3 Let h = -952/45 - -194/9. Determine v, given that -h - 1/5*v**2 + 3/5*v = 0. 1, 2 Let n(g) be the second derivative of 1/15*g**4 - g**2 + 8*g + 0 + 3/5*g**3. Factor n(p). 2*(p + 5)*(2*p - 1)/5 Let l(g) be the second derivative of -7*g**4/90 + 4*g**3/15 + 4*g**2/15 - 53*g + 4. Factor l(m). -2*(m - 2)*(7*m + 2)/15 Factor 3*i + 3*i**2 - i**2 - 81*i + 0*i**2. 2*i*(i - 39) Let g(y) = 3*y**3 + y**2 - 3*y + 1. Let k be g(1). Suppose 0 = k*s - 7*s. What is f in s - 1/2*f**4 + 0*f - f**3 - 1/2*f**2 = 0? -1, 0 Factor -4/5*t**3 + 2/5*t**4 + 0 - 2/5*t**2 + 4/5*t. 2*t*(t - 2)*(t - 1)*(t + 1)/5 Let s(l) be the second derivative of 29*l**6/30 + 263*l**5/60 + 89*l**4/12 + 31*l**3/6 + l**2/3 - 12*l + 8. Solve s(a) = 0 for a. -1, -2/87 Let l = 19 - 7. Let c = -9 + l. Find x such that -3*x**2 - 4*x**5 + 3*x**5 - 2*x**c + 3*x**4 - x + x**2 + 4*x - 1 = 0. -1, 1 Let m = 1/1821 + 7279/9105. Find s such that 0 - 6/5*s**3 - m*s**2 + 2/5*s = 0. -1, 0, 1/3 Let s(d) be the second derivative of 2*d**6/15 - 7*d**5/5 + 5*d**4/3 + 14*d**3/3 - 12*d**2 - 278*d. Factor s(f). 4*(f - 6)*(f - 1)**2*(f + 1) Let w be (56/(-175))/(6/(-5))*2. Factor 2/3*n**2 + w + 8/5*n. 2*(n + 2)*(5*n + 2)/15 Determine v, given that -4*v + 30/11 + 2/11*v**4 + 0*v**2 + 12/11*v**3 = 0. -5, -3, 1 Let r(y) be the third derivative of y**9/40320 + y**8/40320 - y**7/1260 + y**6/360 - y**5/60 + y**2. Let m(t) be the third derivative of r(t). Factor m(k). (k - 1)*(k + 2)*(3*k - 2)/2 Suppose -2/3*t**5 - 20/3*t + 22/3*t**3 + 2*t**4 - 2*t**2 + 0 = 0. Calculate t. -2, -1, 0, 1, 5 Let x = -14 + 28. Let m = -8 + x. Factor -6*k**3 + 9*k**4 + 0*k - 6*k**5 - 3 + 9*k + 3*k**5 - m*k**2. -3*(k - 1)**4*(k + 1) Suppose 33*q + 72 = 39*q. Let c(t) = t**3 - 9*t**2 - 35*t - 9. Let j be c(q). Solve 1/7*s**4 + 6/7*s**j + 8/7*s + 12/7*s**2 + 0 = 0. -2, 0 Let z be 6 + (-297)/55 - (-12)/(-20). Suppose -v**3 + 0 + 1/2*v**4 + z*v**2 + 0*v + 1/2*v**5 = 0. Calculate v. -2, 0, 1 Suppose -5 + 2 = -3*f. Let t = 56 + -54. Suppose f - y**t + y**3 + y + 0 - 2*y = 0. What is y? -1, 1 Suppose -4*c + a = -2*c - 9, -c = -3*a - 2. Let h be -2*6/4 + c. Factor 4/5*n + 2/5 + 2/5*n**h. 2*(n + 1)**2/5 Suppose -3*b = 2*b - 15. Suppose -g = -8*g + b*g. Factor g*i**2 - 1/3*i**5 + 0*i - 1/3*i**3 + 0 + 2/3*i**4. -i**3*(i - 1)**2/3 Suppose 96*i**2 - 2*i**4 + 272*i - 16*i - 73*i**3 + 73*i**3 = 0. Calculate i. -4, 0, 8 Let f be (-46)/2*(2 + -1). Let k = 47/2 + f. What is r in -1/4*r**2 + 0 - 1/4*r**3 + k*r = 0? -2, 0, 1 Factor 22/15*z**2 - 4/5*z**3 - 4/5*z + 0 + 2/15*z**4. 2*z*(z - 3)*(z - 2)*(z - 1)/15 Let i(v) be the first derivative of v**7/840 + v**6/120 - v**4/6 - 22*v**3/3 - 20. Let o(a) be the third derivative of i(a). Factor o(f). (f - 1)*(f + 2)**2 Suppose -i**5 - 4*i**5 + 175*i**2 + 173*i + 31*i**4 + 165*i**3 - 113*i + 14*i**4 = 0. Calculate i. -1, 0, 12 Let r(i) = i**3. Let q(o) = 3*o**3 + 144*o - 384. Let a(y) = -q(y) + 6*r(y). Factor a(s). 3*(s - 4)**2*(s + 8) Let b(m) = -20*m**2 + 39*m**2 - 1 - 5 + 11*m - 21*m**2. Let h be b(4). Factor 3/2*z**4 - h*z**3 - 6 + 6*z + 9/2*z**2. 3*(z - 2)**2*(z - 1)*(z + 1)/2 Determine u so that -2/17*u**5 + 2/17*u**4 + 10/17*u**3 - 10/17*u**2 + 8/17 - 8/17*u = 0. -2, -1, 1, 2 Suppose 20*z - 140 = -15*z. Suppose 4*u = 3*s - 2, u - 2 = -5*s + 9. Let 2/3 + l**s - 1/3*l**z - 5/3*l + 1/3*l**3 = 0. Calculate l. -2, 1 Let s(c) be the third derivative of -c**6/720 + c**5/90 - 5*c**4/144 + c**3/18 + 2*c**2 - 240. Suppose s(r) = 0. What is r? 1, 2 Let v(s) = -s. Suppose 6 = 4*a + 2. Let f(o) = -3*o**5 + 9*o**4 - 6*o**3 - 3*o. Let z(p) = a*f(p) - 3*v(p). Factor z(n). -3*n**3*(n - 2)*(n - 1) Let q = 84 + -82. Let f be 0 + ((-9)/(-5))/((-12)/(-15)). Suppose 3/4*v**q - f + 3/2*v = 0. Calculate v. -3, 1 Let d(p) be the third derivative of -1/1848*p**8 - 1/330*p**5 + 0*p**3 + 0*p**4 + 0*p - 1/385*p**7 + 0 + 31*p**2 - 1/220*p**6. Let d(v) = 0. What is v? -1, 0 Let h(v) be the third derivative of -v**8/10080 + v**7/2520 - v**5/30 - 16*v**2. Let z(k) be the third derivative of h(k). Factor z(s). -2*s*(s - 1) Let y be (-48)/627 + 10/55. What is u in 8/19 + y*u**2 - 8/19*u = 0? 2 Let w(r) be the second derivative of -r**6/900 - r**5/100 + r**4/15 - 7*r**3/3 + 6*r. Let h(g) be the second derivative of w(g). Let h(i) = 0. Calculate i. -4, 1 Suppose 4*o - 21 = o. Suppose -12*w**4 - 4*w**2 + 5*w**3 + 32*w + 4*w**5 + o*w**3 - 32*w = 0. What is w? 0, 1 Solve -4*q**4 - 24*q**3 - 192 + 4*q**4 + 97*q**2 + 3*q**4 + 87*q + 9*q - 61*q**2 = 0. -2, 2, 4 Let w be -4*15/(-84)*(-12)/(-60). Suppose -1/7*f**4 + 0*f**2 + 2/7*f**3 + w - 2/7*f = 0. Calculate f. -1, 1 Let c be (-13 + -1)/(2 + -3). Suppose 3*a - 9 = d, -4*a = 5*d + 21 - c. Factor 0*m**a + 1/3 + 1/2*m - 1/6*m**3. -(m - 2)*(m + 1)**2/6 Let o = 270/53 + -121/159. Factor -o*h**3 - 1/3*h**5 - 2*h**4 - 4/3*h - 4*h**2 + 0. -h*(h + 1)**2*(h + 2)**2/3 Suppose 325*f = 340*f. Let p(x) be the second derivative of 3*x - 1/15*x**3 - 1/30*x**4 + f + 0*x**2. Suppose p(z) = 0. Calculate z. -1, 0 Let v be 11/(33/9)*5*10/825. Factor 24/11*h**2 + 12/11*h**3 + 20/11*h + v*h**4 + 6/11. 2*(h + 1)**3*(h + 3)/11 Let l = -2038447 - -3088247332/1515. Let c = l + 5/101. Solve 2/5*k - 4/15 - c*k**3 + 0*k**2 = 0 for k. -2, 1 Let x = -126 - -138. Let q be x/(-15)*35/(-14). Suppose 1/2*y**3 - 3/2*y - 1 + 0*y**q = 0. What is y? -1, 2 Let a(z) be the first derivative of -z**3 + 8 + 0*z**2 + 3/4*z**4 + 0*z. Factor a(y). 3*y**2*(y - 1) Find a such that 12*a**2 - 70697*a - 12 - 3*a**3 + 70699*a + a**3 = 0. -1, 1, 6 Factor 0*x**2 + 31/9*x**3 + 1/9*x**4 + 0*x + 0. x**3*(x + 31)/9 Let d = -10334 + 41341/4. Solve d*r + 1/2 + 1/2*r**2 = 0. -2, -1/2 Let b(h) = -9*h**4 + 22*h**3 + 83*h**2 + 27*h. Let t(j) = 17*j**4 - 44*j**3 - 165*j**2 - 53*j. Let u(w) = 5*b(w) + 3*t(w). Factor u(q). 2*q*(q - 6)*(q + 2)*(3*q + 1) Let n = -14260/343 - -50/343. Let b = 42 + n. Factor b*v + 4/7 + 1/7*v**2. (v + 2)**2/7 Let w be 15 + -11 + -9 + 7. Let s(d) be the third derivative of 0*d + 3*d**w - 1/168*d**8 - 1/15*d**6 + 0*d**4 + 0 + 4/105*d**7 + 0*d**5 + 0*d**3. Factor s(t). -2*t**3*(t - 2)**2 Let k(y) be the second derivative of -7/12*y**3 + 3/2*y**2 + y + 1/60*y**6 + 3/40*y**5 + 5 - 1/8*y**4. Suppose k(t) = 0. Calculate t. -3, -2, 1 Let b(i) be the first derivative of 3*i**4/4 + 71*i**3 + 1836*i**2 - 3888*i + 101. Let b(g) = 0. Calculate g. -36, 1 Suppose -4*n = -11 - 1. Let u = 2709 - 2705. Factor 12/5*c**n + 0 - 16/5*c - 4/5*c**u + 0*c**2. -4*c*(c - 2)**2*(c + 1)/5 Let g(f) be the first derivative of 0*f**2 + 4*f + 1/18*f**5 + 4/27*f**3 + 4/27*f**4 + 1/135*f**6 + 4. Let w(s) be the first derivativ
{ "pile_set_name": "DM Mathematics" }
l). 2*l**3 - 2*l**2 - 160*l Let p(h) = h - 3. Let r be (1/5*-2)/(2/(-10)). Suppose 0 = -5*x + 3*q + 10, 4 = -r*x + 4*x - 4*q. Let n(v) = v + 4*v - 4*v - 1. Give x*n(i) - p(i). i + 1 Let l = -3882 + 3886. Let t(y) = y**2 + 6*y - 33. Let a be t(-10). Let g(x) = x - 1. Let m(w) = -2*w + 2. Calculate a*g(d) + l*m(d). -d + 1 Let g(c) = 14*c**2 + 8*c + 11. Let s(b) = -29*b**2 - 13*b - 21. Let a(o) = -7*g(o) - 4*s(o). Let z(y) = -19*y**2 + 5*y - 8. Determine -5*a(m) - 4*z(m). -14*m**2 - 3 Let j(p) = 10*p - 3. Let w(o) = -3 + 3 - 1 + o. Let t be 900/(-216) - 5/((-120)/28). Give t*w(c) + j(c). 7*c Let r(l) = -5*l**2 - 5*l + 1. Suppose 5*x = -4*t - 29, x + 38*t - 31*t + 43 = 0. Let j(s) = s**2 + s. Give x*r(n) - 6*j(n). -n**2 - n - 1 Let g(t) = -2*t**3 - 2*t**2 + 1. Let p(w) = -30*w**3 - 29*w**2 + w + 11. Give 10*g(i) - p(i). 10*i**3 + 9*i**2 - i - 1 Let a(n) = 11*n**2 - 4*n + 11. Let m(w) = 6*w**2 - 2*w + 5. Suppose 101*l + 57*l - 713 = -2135. Calculate l*m(b) + 4*a(b). -10*b**2 + 2*b - 1 Let s(b) = -37435*b**3 + 10*b**2 + 15*b + 20. Let z(h) = -168101866*h**3 + 44904*h**2 + 67356*h + 89808. Calculate -22452*s(r) + 5*z(r). -18710*r**3 Suppose 16 - 2 = -4*t - 3*u, -t = 3*u - 1. Let l(q) = -2*q + 9 + 9 - 26 + 18*q**3 + 8*q**2 + 0*q. Let f(y) = -12*y**3 - 5*y**2 + y + 5. Give t*l(m) - 8*f(m). 6*m**3 + 2*m Let u(d) = 2*d + 3. Let f(t) = -1. Let c = -72 + 83. Let o(l) = l - 8. Let i be o(c). Let h be -2*((3 - i) + 2). Give h*f(n) - u(n). -2*n + 1 Let l be -529 - -536 - ((-69)/(-6) - 2/4). Let r(a) = -7*a**3 + a**2 - a. Let m(z) = -z**3 + z. Give l*m(s) + r(s). -3*s**3 + s**2 - 5*s Let b(m) = 9*m + 4. Let z(w) = -w**2 + 63*w - 443. Let y be z(8). Let o(j) = 8*j + 4. Calculate y*o(r) + 2*b(r). -6*r - 4 Let c(w) = -22*w**2 - 191*w - 3697. Let i(u) = 10*u**2 + 88*u + 1849. Determine -6*c(m) - 13*i(m). 2*m**2 + 2*m - 1855 Let m(l) = 2666*l. Let f(r) = 92*r. Calculate 86*f(c) - 3*m(c). -86*c Let y(q) = -10*q**2 - 4*q. Let t be (-17)/(867/272) - 4/(12/5). Suppose 4*c - 6 = 14. Let m(z) = -7*z**2 - 3*z. Determine c*y(j) + t*m(j). -j**2 + j Let g(z) = -z + 33. Let l(n) = 2384*n - 66. Determine -2*g(w) - l(w). -2382*w Let o(g) = -49179*g - 234. Let h(y) = -1468*y - 7. Determine 234*h(j) - 7*o(j). 741*j Let t(g) = -316*g**2 + 645*g. Let j(z) = -147*z**2 + 322*z. Calculate 13*j(y) - 6*t(y). -15*y**2 + 316*y Let a(b) = -987*b**2 - 48*b - 2. Let z(m) = m**2 + 8*m. What is a(r) + 6*z(r)? -981*r**2 - 2 Let l = -1 + 4. Let d(c) = 17*c - 210. Let s(z) = 13*z - 160. Let n(j) = 16*d(j) - 21*s(j). Let u(i) = 3. Give l*n(o) + u(o). -3*o + 3 Let f(d) = -42*d**2 - 43*d**2 - d - 1 - 43*d**2 + 129*d**2. Let n be 8/14 + 22/(-14). Let p(c) = 16*c**2 - 24*c - 24. Give n*p(o) + 24*f(o). 8*o**2 Let i(p) = 1110*p**3 - 75*p. Let x(u) = 15*u + 11*u**3 + 6*u**3 + 18*u**3 - 5*u**3 - 17*u. What is -2*i(t) + 75*x(t)? 30*t**3 Let b(x) = -x**3 + x**2 - 7*x - 2. Let n(a) = 146*a**3 - a**2 + 12*a + 5. Determine b(j) + n(j). 145*j**3 + 5*j + 3 Let d(t) = 1092*t**2 - 30. Let m(s) = 1093*s**2 - 45. Give -6*d(h) + 4*m(h). -2180*h**2 Let q(u) = u. Let p be q(-3). Let r = p + -7. Let f(v) be the first derivative of -v**3 - v**2 - 166087. Let d(x) = -7*x**2 - 5*x. Give r*f(b) + 4*d(b). 2*b**2 Let g(t) = 6541632*t**2 - 8864. Let i(b) = 4429*b**2 - 6. What is -3*g(k) + 4432*i(k)? 4432*k**2 Let x(z) = z**2. Let r(w) = 2*w**2. Let d be (-8)/(-36) - (-1664)/(-36). Let t = d - -47. Calculate t*r(y) + 5*x(y). 7*y**2 Let q(z) = 5*z**3 + 4*z**2 + 5*z - 5. Let k = 11 + -6. Let o(t) = 3*t**3 + 2*t**2 + 2*t - 2. Suppose -470*y + 463*y = 14. What is k*o(p) + y*q(p)? 5*p**3 + 2*p**2 Let b(x) = 40*x - 127. Let g(j) = 91*j - 254. Calculate 9*b(s) - 4*g(s). -4*s - 127 Suppose -65*t = 53*t - 131*t + 36 - 140. Let c be -4*(10/(-8) + 2). Let s(y) = 5*y + 2. Let m(j) = -15*j - 6. Determine c*m(o) + t*s(o). 5*o + 2 Let m(o) be the third derivative of 19*o**4/24 + 342*o**2 + 138. Let u be (-16)/(-3) - 4/(-6). Let r(v) = -v. Give u*r(z) + m(z). 13*z Let n(s) = -6533*s**2 + 70*s + 6527*s**2 - 11 - 143*s + 79*s. Let j(d) = d**2 - d + 2. What is -34*j(i) - 6*n(i)? 2*i**2 - 2*i - 2 Let x(d) = 1 - 5 + 8487*d**2 - 16980*d**2 + 8488*d**2 + 5*d + 27*d**3. Let r(c) = -26*c**3 + 4*c**2 - 4*c + 3. Determine 4*r(p) + 3*x(p). -23*p**3 + p**2 - p Let j(s) = 2*s - 3. Let f(r) = r. Let u(q) = 21*q. Let m(w) = 5*w. Let k(g) = 9*m(g) - 2*u(g). Let z(l) = 4*f(l) - k(l). Calculate j(y) - 3*z(y). -y - 3 Let k(q) be the first derivative of -q**3/3 + q - 1. Let g = 910 + -915. Let h(d) = d**2 - 2. Calculate g*k(t) - 2*h(t). 3*t**2 - 1 Suppose 9 + 1 = 5*r, -r + 2 = 4*c. Suppose s - 4 + c = 0. Let d(m) = -m - 1. Let x be (-656)/32 + 19 + 5/2. Let n(j) = 5*j + 2. Determine s*d(q) + x*n(q). q - 2 Let t(u) = -5*u**3 - 6*u**2 - 6. Suppose -b = 4*f - 22, 5*b - 18 = 71*f - 68*f. Let d(j) = -44*j**3 - 55*j**2 - 55. Calculate b*d(k) - 55*t(k). 11*k**3 Let j(s) = 32*s**3 + 31*s**2 + 6*s - 43. Let p(i) = 8*i**3 + 7*i**2 + i - 10. What is -2*j(w) + 9*p(w)? 8*w**3 + w**2 - 3*w - 4 Let n(y) = 7*y + 13. Let x(f) be the third derivative of -236*f**2 + 0*f - 1/3*f**4 - 7/3*f**3 + 0. Determine -6*n(k) - 5*x(k). -2*k - 8 Let c(o) = -o**3 + 2*o**2 - 23*o. Let s(j) = 21*j**3 - 3*j**2 + 70*j - 5. Determine -3*c(z) - s(z). -18*z**3 - 3*z**2 - z + 5 Let x(t) be the second derivative of -3*t**5/2 - t**4/6 + t**3/3 + t**2 + 551*t. Let d(p) = 30*p**3 + 3*p**2 - 3*p - 3. Determine -2*d(i) - 3*x(i). 30*i**3 Let s(m) = -206*m**2 - 29*m + 46. Let a(c) = 34*c**2 + 5*c - 7. What is -13*a(h) - 2*s(h)? -30*h**2 - 7*h - 1 Let x(s) = 64*s**2 + 10*s - 4. Let z(p) = 73*p**2 - 22*p - 169. Let d(c) = -52*c**2 + 16*c + 122. Let y(f) = -18*d(f) - 13*z(f). What is 2*x(g) + 11*y(g)? -15*g**2 - 2*g + 3 Let x(o) = -41*o**3 - 8*o**2 + 8*o + 13. Let w(c) = 42*c**3 + 10*c**2 - 10*c - 13. Give 4*w(y) + 5*x(y). -37*y**3 + 13 Let x(y) = -2918*y - 54. Let m(o) = -531075*o - 9855. Calculate -4*m(f) + 730*x(f). -5840*f Let s(l) = 67*l + 21. Let x(m) = 7. Give s(d) - 4*x(d). 67*d - 7 Let u(j) = 5*j - 5. Let f(s) = -3*s + 2. Determine 2*f(k) + 3*u(k). 9*k - 11 Let c(x) = -x**3 - 9*x**2 + 6. Let o(d) be the second derivative of 0 + 5/6*d**4 + 17*d - 7/2*d**2 + 1/20*d**5 + 0*d**3. Determine -7*c(i) - 6*o(i). i**3 + 3*i**2 Let i(m) = -19*m + 847. Let k(a) = 3*a. Give -i(s) - 5*k(s). 4*s - 847 Let c(y) be the third derivative of -y**3 + 1/15*y**5 + 0 - 7/24*y**4 + 0*y - 39*y**2. Let z(d) = 5*d**2 - 8*d - 7. Give 6*c(l) - 5*z(l). -l**2 - 2*l - 1 Let j(d) = 473*d - 17. Let s(o) = 1892*o - 74. What is 26*j(w) - 6*s(w)? 946*w + 2 Let u(g) = 8*g + g**3 - 6 - 7*g**3 - 2*g**3 - g**3 + 6*g**2. Let v = -72 + 41. Let m = v + 36. Let w(z) = -8*z**3 + 5*z**2 + 7*z - 5. What is m*u(p) - 6*w(p)? 3*p**3 - 2*p Let v(k) = 4*k**2 + 2*k + 7. Suppose -745*m = -844*m - 495. Let o(z) = -12*z**2 - 6*z - 22. Calculate m*o(w) - 16*v(w). -4*w**2 - 2*w - 2 Let z(j) = 52*j - 683. Let c(d) = 13*d - 169. Give -19*c(s) + 5*z(s). 13*s - 204 Let j(g) = -g**2 - 74*g - 1140. Let m be j(-22). Let z(r) = r + 11. Let h(u) = -6. Determine m*z(t) + 7*h(t). 4*t + 2 Let u(t) = 447*t**2 + 36*t - 14. Let o(g) = -223*g**2 - 16*g + 6. Calculate 9*o(v) + 4*u(v). -219*v**2 - 2 Let w(u) = -5007330*u**2 + 32062*u - 32062. Let x(v) = 1874*v**2 - 12*v + 12. Calculate 6*w(a) + 16031*x(a). -1886*a**2 Suppose -3*u = 2*u - 3*k + 378, -3*u = k + 238. Let m be ((-52)/u)/((-4)/6). Let s(j) = -j**2 - j. Let o(y) = 2*y**3 - 5*y**2 - 4*y. Give m*o(r) + 5*s(r). -2*r**3 - r Let t(c) = 25*c - 4. Let j(z) = -25 + 2 + 49*z + 10 + 6. Give -4*j(q) + 7*t(q). -21*q Let q(j) = 110*j - 4. Let n(b) = -112*b + 2. Determine 4*n(r) + 3*q(r). -118*r - 4 Let z(r) = 5*r - 87. Let y(a) be the first derivative of -3*a**2/2 + 58*a - 12459. Calculate 8*y(f) + 5*z(f). f + 29 Suppose o - 1162 = -13*o. Suppose -12 = o*b - 89*b. Let a(p) = 2*p**3 - 3*p**2 - 3*p. Let i(n) = 3*n**3 - 2*n**2 - 2*n. What is b*a(r) - 3*i(r)? -5*r**3 Let a(j) = -6*j**3 + 2*j**2 + 4. Let d(v) = -v**3 + v**2 + 1. Suppose -24*b = -12*b + 12. What is b*a(n) + 2*d(n)? 4*n**3 - 2 Let l(w) = -22277*w + 251. Let z(i) = 11138*i - 134. Give -8*l(f) - 15*z(f). 11146*f + 2 Let o(k) = -4*k - 5 + 13 + 17. Let y(w) = 4*w - 19. Let c(t) = -3*o(t) - 2*y(t). Let v(a) = -a + 9. What is -2*c(b) - 9*v(b)? b - 7 Suppose 3*a + 61 = -14*d +
{ "pile_set_name": "DM Mathematics" }
are the prime factors of 6283595541? 3, 10639, 196873 What are the prime factors of 14014858? 2, 11, 13, 49003 List the prime factors of 125599511. 367, 342233 What are the prime factors of 95513432? 2, 7, 1705597 List the prime factors of 968052250. 2, 5, 11, 17, 20707 List the prime factors of 6163039756. 2, 67, 22996417 What are the prime factors of 59729207? 83, 239, 3011 List the prime factors of 841294834. 2, 163, 2580659 What are the prime factors of 26887496? 2, 3360937 What are the prime factors of 6312990787? 19, 332262673 List the prime factors of 425398766. 2, 13, 167, 97973 What are the prime factors of 53346155? 5, 89, 313, 383 List the prime factors of 4629644. 2, 17, 103, 661 What are the prime factors of 65960825? 5, 7, 37, 61, 167 List the prime factors of 229800809. 7, 79, 415553 List the prime factors of 43564885. 5, 7, 13, 95747 What are the prime factors of 23154966? 2, 3, 1286387 What are the prime factors of 61427843? 61427843 What are the prime factors of 3818952684? 2, 3, 11786891 What are the prime factors of 113704009? 113704009 List the prime factors of 3553698696. 2, 3, 148070779 List the prime factors of 219176682. 2, 3, 17, 2148791 What are the prime factors of 48713505? 3, 5, 3247567 List the prime factors of 53268180. 2, 3, 5, 7, 53, 2393 What are the prime factors of 60810933? 3, 31, 653881 List the prime factors of 56440427. 56440427 What are the prime factors of 247277909? 59, 4191151 What are the prime factors of 915265828? 2, 67, 71, 103, 467 List the prime factors of 37186775. 5, 1487471 What are the prime factors of 15312844? 2, 41, 93371 What are the prime factors of 20917546? 2, 13, 804521 List the prime factors of 1655579121. 3, 7, 1993, 5651 What are the prime factors of 4021556079? 3, 1340518693 List the prime factors of 949227569. 1181, 803749 List the prime factors of 726884162. 2, 41, 2879, 3079 List the prime factors of 218867047. 7, 31266721 What are the prime factors of 201560623? 11, 179, 102367 List the prime factors of 1868183498. 2, 934091749 List the prime factors of 581380329. 3, 307, 631249 What are the prime factors of 3840315? 3, 5, 256021 What are the prime factors of 300015236? 2, 59, 1271251 What are the prime factors of 3762808854? 2, 3, 7, 263, 340649 What are the prime factors of 781102847? 7, 73, 1528577 What are the prime factors of 88293869? 17, 41, 131, 967 List the prime factors of 88854940. 2, 5, 107, 41521 What are the prime factors of 44125212? 2, 3, 3677101 List the prime factors of 6494183501. 13, 37, 13501421 What are the prime factors of 1231389096? 2, 3, 7, 47, 277, 563 List the prime factors of 531738014. 2, 265869007 What are the prime factors of 588557192? 2, 1069, 68821 What are the prime factors of 1276939432? 2, 673, 237173 What are the prime factors of 4557041271? 3, 4933, 102643 What are the prime factors of 797606414? 2, 11, 36254837 List the prime factors of 62168947. 53, 491, 2389 List the prime factors of 3234830032. 2, 7, 23, 1255757 What are the prime factors of 41579477? 41579477 List the prime factors of 426529231. 59, 197, 36697 List the prime factors of 383688601. 467, 821603 List the prime factors of 207090057. 3, 41, 227, 7417 List the prime factors of 311930836. 2, 7, 11140387 List the prime factors of 474919266. 2, 3, 373, 212207 List the prime factors of 1901060739. 3, 70409657 List the prime factors of 38999498. 2, 19499749 List the prime factors of 577327912. 2, 7, 61, 169007 What are the prime factors of 1861270081? 11, 137, 1235083 List the prime factors of 62701874. 2, 41, 764657 What are the prime factors of 2627447393? 17, 154555729 List the prime factors of 1635219819. 3, 19, 1062521 What are the prime factors of 936787840? 2, 5, 59, 24809 What are the prime factors of 3237522123? 3, 11, 98106731 What are the prime factors of 74620499? 74620499 List the prime factors of 33160248. 2, 3, 11, 149, 281 What are the prime factors of 3516454921? 7, 502350703 List the prime factors of 3719555627. 139, 373, 71741 List the prime factors of 223989437. 7, 41, 111493 List the prime factors of 2286809976. 2, 3, 11, 787469 What are the prime factors of 5665199508? 2, 3, 823, 63737 List the prime factors of 256392355. 5, 739, 69389 What are the prime factors of 277437450? 2, 3, 5, 17, 108799 What are the prime factors of 2614251366? 2, 3, 145236187 What are the prime factors of 6730955155? 5, 1747, 770573 What are the prime factors of 1467196854? 2, 3, 244532809 What are the prime factors of 319210883? 1069, 298607 What are the prime factors of 62087059? 113, 549443 What are the prime factors of 179535139? 7, 61, 420457 What are the prime factors of 30166551? 3, 17, 71, 2777 List the prime factors of 30369619. 7, 19, 389, 587 What are the prime factors of 247988854? 2, 353, 351259 What are the prime factors of 3526761621? 3, 2137, 550111 List the prime factors of 596234717. 13, 45864209 What are the prime factors of 38301689? 67, 113, 5059 What are the prime factors of 1228192661? 19, 73, 885503 What are the prime factors of 69026167? 7, 9860881 List the prime factors of 676294993. 11, 29, 59, 35933 List the prime factors of 11858008. 2, 53, 27967 List the prime factors of 155138375. 5, 7, 177301 List the prime factors of 198308731. 198308731 List the prime factors of 276626351. 107, 2585293 List the prime factors of 103478221. 7, 11, 1343873 List the prime factors of 1461428766. 2, 3, 7, 17, 431, 1583 List the prime factors of 20607809. 587, 35107 What are the prime factors of 8609687351? 3121, 2758631 List the prime factors of 261213783. 3, 23, 73, 51859 List the prime factors of 338951400. 2, 3, 5, 564919 List the prime factors of 2652077687. 7, 1319, 287239 What are the prime factors of 67654555? 5, 31, 436481 List the prime factors of 55210406. 2, 27605203 What are the prime factors of 39852001? 7, 241, 23623 List the prime factors of 626568127. 769, 814783 List the prime factors of 42936692. 2, 10734173 What are the prime factors of 236686083? 3, 78895361 List the prime factors of 169821882. 2, 3, 439, 21491 List the prime factors of 243645275. 5, 17, 31, 18493 List the prime factors of 92375432. 2, 11546929 What are the prime factors of 61741108? 2, 11, 13, 19, 23 What are the prime factors of 838479102? 2, 3, 43, 3249919 List the prime factors of 107911224. 2, 3, 179, 2791 What are the prime factors of 83769323? 11, 139, 54787 List the prime factors of 464411243. 19, 59, 414283 What are the prime factors of 3650254720? 2, 5, 7, 814789 What are the prime factors of 952255754? 2, 37, 12868321 What are the prime factors of 170444165? 5, 29, 809, 1453 What are the prime factors of 1014063? 3, 157, 2153 List the prime factors of 62281604. 2, 7, 11, 31, 593 List the prime factors of 869510457. 3, 10734697 What are the prime factors of 62530314? 2, 3, 7, 11, 135347 What are the prime factors of 1140127162? 2, 570063581 What are the prime factors of 40447571? 101, 400471 List the prime factors of 541054131. 3, 29, 59, 105407 List the prime factors of 950515735. 5, 13, 14623319 What are the prime factors of 272114668? 2, 7, 9718381 List the prime factors of 2949623120. 2, 5, 821, 44909 List the prime factors of 67874146. 2, 631, 53783 What are the prime factors of 62431055? 5, 17, 19, 29, 31, 43 What are the prime factors of 394587945? 3, 5, 8768621 List the prime factors of 980906891. 3917, 250423 List the prime factors of 502212976. 2, 31388311 What are the prime factors of 96972468? 2, 3, 47, 171937 List the prime factors of 741629839. 741629839 List the prime factors of 235740386. 2, 7, 23, 139, 229 What are the prime factors of 4415531? 4415531 List the prime factors of 1544097871. 19, 81268309 List the prime factors of 281496166. 2, 7, 17, 1182757 List the prime factors of 955701680. 2, 5, 313, 38167 What are the prime factors of 182577266? 2, 23, 3969071 List the prime factors of 13313322. 2, 3, 11, 31, 241 What are the prime factors of 173736869? 173736869 What are the prime factors of 24711637? 23, 983, 1093 What are the prime factors of 83666050? 2, 5, 13, 128717 List the prime factors of 205017221. 83, 1459, 1693 What are the prime factors of 58879016? 2, 7, 79, 13309 List the prime factors of 217686066. 2, 3, 13, 509, 5483 List the
{ "pile_set_name": "DM Mathematics" }
1? 3*o**2 + 493555*o - 7 What is the o'th term of 237668, 237342, 237016? -326*o + 237994 What is the i'th term of 24, -120, -494, -1212, -2388, -4136, -6570, -9804? -19*i**3 - i**2 - 8*i + 52 What is the a'th term of 186440, 186417, 186394, 186371? -23*a + 186463 What is the s'th term of 7468, 16118, 24772, 33430, 42092, 50758, 59428? 2*s**2 + 8644*s - 1178 What is the h'th term of -3882, -5506, -7130, -8754? -1624*h - 2258 What is the r'th term of -237889, -237818, -237747, -237676, -237605, -237534? 71*r - 237960 What is the n'th term of 7084, 14835, 35872, 76837, 144372, 245119, 385720? 1107*n**3 + n**2 - n + 5977 What is the l'th term of 3730, 3616, 3380, 3016, 2518, 1880? -l**3 - 55*l**2 + 58*l + 3728 What is the j'th term of -89824, -89731, -89638, -89545, -89452? 93*j - 89917 What is the z'th term of -4547, -39890, -135821, -322634, -630623, -1090082, -1731305, -2584586? -5049*z**3 + 502 What is the g'th term of -14404, -14555, -14708, -14863, -15020, -15179, -15340? -g**2 - 148*g - 14255 What is the a'th term of -83918835, -83918840, -83918845, -83918850, -83918855? -5*a - 83918830 What is the s'th term of -228778, -228868, -229006, -229192, -229426, -229708? -24*s**2 - 18*s - 228736 What is the s'th term of 27293297, 54586603, 81879909? 27293306*s - 9 What is the z'th term of -45397, -181501, -408337, -725911, -1134229? -z**3 - 45360*z**2 - 17*z - 19 What is the d'th term of 44634, 53425, 68076, 88587, 114958, 147189, 185280? 2930*d**2 + d + 41703 What is the k'th term of -17, 24, 203, 610, 1335, 2468, 4099, 6318? 15*k**3 - 21*k**2 - k - 10 What is the g'th term of 48505380, 97010747, 145516112, 194021475, 242526836? -g**2 + 48505370*g + 11 What is the p'th term of 1474, 5994, 13540, 24112? 1513*p**2 - 19*p - 20 What is the c'th term of -8142, -10003, -11864, -13725, -15586, -17447? -1861*c - 6281 What is the p'th term of -10300583, -10300591, -10300601, -10300613, -10300627, -10300643? -p**2 - 5*p - 10300577 What is the m'th term of -5397, -21516, -48397, -86040, -134445? -5381*m**2 + 24*m - 40 What is the o'th term of -500, -1549, -3256, -5627, -8668? -o**3 - 323*o**2 - 73*o - 103 What is the m'th term of -391003, -781719, -1172435? -390716*m - 287 What is the n'th term of -475, -1348, -2779, -4750, -7243? 3*n**3 - 297*n**2 - 3*n - 178 What is the i'th term of 131, -766, -3241, -8092, -16117, -28114, -44881? -133*i**3 + 9*i**2 + 7*i + 248 What is the t'th term of -13021168, -13021170, -13021172, -13021174, -13021176, -13021178? -2*t - 13021166 What is the c'th term of 5313, 5105, 4717, 4143, 3377, 2413? -c**3 - 84*c**2 + 51*c + 5347 What is the b'th term of 628575, 1257104, 1885631, 2514156, 3142679, 3771200, 4399719? -b**2 + 628532*b + 44 What is the j'th term of 207286, 408918, 610540, 812146, 1013730, 1215286, 1416808, 1618290? -j**3 + j**2 + 201636*j + 5650 What is the f'th term of 2713, 2682, 2643, 2596, 2541, 2478, 2407? -4*f**2 - 19*f + 2736 What is the j'th term of 3224, 25613, 86418, 204857, 400148, 691509, 1098158, 1639313? 3203*j**3 - 10*j**2 - 2*j + 33 What is the j'th term of -461695, -461626, -461557, -461488? 69*j - 461764 What is the v'th term of -785118, -785010, -784822, -784548, -784182, -783718? v**3 + 34*v**2 - v - 785152 What is the g'th term of -42344, -84721, -127172, -169733, -212440, -255329, -298436, -341797? -6*g**3 - g**2 - 42332*g - 5 What is the y'th term of 329252797, 329252803, 329252813, 329252827, 329252845? 2*y**2 + 329252795 What is the f'th term of -25026393, -25026431, -25026469? -38*f - 25026355 What is the q'th term of 1653597, 1653592, 1653587, 1653582, 1653577, 1653572? -5*q + 1653602 What is the h'th term of 9740, 19617, 29494, 39371? 9877*h - 137 What is the b'th term of -111106, -442932, -995486, -1768768, -2762778? -110364*b**2 - 734*b - 8 What is the h'th term of -367, -797, -1249, -1735, -2267? -2*h**3 + h**2 - 419*h + 53 What is the a'th term of 568183, 1136442, 1704717, 2273014, 2841339, 3409698? a**3 + 2*a**2 + 568246*a - 66 What is the i'th term of -2712, -5830, -8982, -12162, -15364? i**3 - 23*i**2 - 3056*i + 366 What is the q'th term of 6488, 6530, 6600, 6698, 6824, 6978, 7160? 14*q**2 + 6474 What is the q'th term of -1004, -2528, -4062, -5606, -7160, -8724? -5*q**2 - 1509*q + 510 What is the h'th term of -4637, -9608, -14579, -19550, -24521, -29492? -4971*h + 334 What is the s'th term of -209, -3450, -12693, -30938, -61185, -106434? -500*s**3 - s**2 + 262*s + 30 What is the k'th term of 503557, 1007092, 1510627, 2014162, 2517697? 503535*k + 22 What is the t'th term of 189047, 184463, 179879, 175295, 170711, 166127? -4584*t + 193631 What is the f'th term of 9222992, 9222991, 9222990, 9222989? -f + 9222993 What is the x'th term of 101577, 99181, 95189, 89601? -798*x**2 - 2*x + 102377 What is the u'th term of 109291, 219175, 329059, 438943, 548827? 109884*u - 593 What is the n'th term of 63170, 63220, 63270, 63320, 63370? 50*n + 63120 What is the x'th term of -80680, -323223, -727460, -1293391, -2021016, -2910335? -80847*x**2 - 2*x + 169 What is the y'th term of 168136, 336195, 504252, 672307, 840360, 1008411? -y**2 + 168062*y + 75 What is the h'th term of 3493, 16284, 37593, 67414, 105741? -h**3 + 4265*h**2 + 3*h - 774 What is the b'th term of -3224443, -12897694, -29019781, -51590704? -3224418*b**2 + 3*b - 28 What is the p'th term of 13714802, 13714803, 13714804, 13714805, 13714806? p + 13714801 What is the t'th term of -1494117, -1494156, -1494203, -1494258? -4*t**2 - 27*t - 1494086 What is the c'th term of 244, 1841, 6256, 14953, 29396? 244*c**3 - 55*c**2 + 54*c + 1 What is the v'th term of 142269, 284438, 426607? 142169*v + 100 What is the b'th term of -7602436, -15204873, -22807310, -30409747, -38012184? -7602437*b + 1 What is the a'th term of -7467, -14603, -21739, -28875, -36011? -7136*a - 331 What is the g'th term of -4563, -10352, -16151, -21960? -5*g**2 - 5774*g + 1216 What is the b'th term of 2810, 3270, 4022, 5066, 6402, 8030? 146*b**2 + 22*b + 2642 What is the x'th term of 8853, 9556, 10259, 10962? 703*x + 8150 What is the c'th term of 5419114, 10838335, 16257556, 21676777, 27095998, 32515219? 5419221*c - 107 What is the v'th term of 335397, 334781, 334167, 333555? v**2 - 619*v + 336015 What is the w'th term of -856, 1300, 4894, 9926? 719*w**2 - w - 1574 What is the a'th term of -714223075, -714223074, -714223073? a - 714223076 What is the x'th term of -108502, -218649, -330446, -443893? -825*x**2 - 107672*x - 5 What is the a'th term of 14055, 17693, 21331, 24969? 3638*a + 10417 What is the r'th term of -269323, -540203, -811083, -1081963, -1352843? -270880*r + 1557 What is the c'th term of -147948, -147562, -147178, -146796? -c**2 + 389*c - 148336 What is the b'th term of 2283244, 4566504, 6849764? 2283260*b - 16 What is the g'th term of -923, -3787, -8611, -15395, -24139, -34843? -980*g**2 + 76*g - 19 What is the h'th term of -1374, 7940, 23454, 45162, 73058? -h**3 + 3106*h**2 + 3*h - 4482 What is the f'th term of 421860317, 843720636, 1265580955, 1687441274? 421860319*f - 2 What is the q'th term of 4224220, 8448430, 12672636, 16896838? -2*q**2 + 4224216*q + 6 What is the u'th term of 358, 1259, 2706, 4699, 7238, 10323, 13954? 273*u**2 + 82*u + 3 What is the u'th term of 304827793, 304827795, 304827797? 2*u + 304827791 What is the l'th term of 114761, 229473, 344185, 458897? 114712*l + 49 What is the u'th term of 540, 1841, 3950, 6867, 10592, 15125, 20466? 404*u**2 + 89*u + 47 What is the w'th term of 258, -446, -1584, -3156? -217*w**2 - 53*w + 528 What is the r'th term of 365, 837, 1431, 2177, 3105? 5*r**3 + 31*r**2 + 344*r - 15 What is the x'th term of -17571, -70374, -158379, -281586? -17601*x**2 + 30 What is the l'th term of 169528, 339587, 509644, 679699, 849752, 1019803? -l**2 + 170062*l - 533 What is the a'th term of -672508, -1344926, -2017338, -2689738, -3362120, -4034478, -4706806? a**3 - 3*a**2 - 672416*a - 90 What is the j'th term of 43422, 87994, 132566? 44572*j - 1150 What is the o'th term of -185857569, -185857571, -185857573? -2*o - 185857567 What is the q'th term of -10481, -9369, -7521, -4943, -1641, 2379? -q**3 + 374*q**2 - 3*q - 10851 What is the c'th term of -735, -1592, -2437, -3270, -4091? 6*c**2 - 875*c + 134 What is the u'th term of -
{ "pile_set_name": "DM Mathematics" }
es 9 divide 28305? True Does 9 divide 29808? True Does 17 divide 11231602? False Is 470106 a multiple of 287? True Is 29 a factor of 422615? False Does 1209 divide 6310980? True Is 319464 a multiple of 34? True Does 28 divide 42797? False Does 18 divide 2930202? True Does 49 divide 5445927? False Is 893849 a multiple of 253? True Does 46 divide 19734? True Is 166944 a multiple of 32? True Does 15 divide 45751? False Is 144642 a multiple of 6? True Is 1586928 a multiple of 24? True Does 216 divide 945795? False Is 4630470 a multiple of 5? True Does 56 divide 148176? True Is 64 a factor of 35630976? True Is 432919 a multiple of 17? False Does 37 divide 190624? True Does 90 divide 11439725? False Does 546 divide 104286? True Is 191 a factor of 1086026? True Does 9 divide 2568051? True Is 131016 a multiple of 106? True Does 301 divide 1067707? False Does 18 divide 175987? False Does 137 divide 3611089? False Does 8 divide 64339? False Is 348298 a multiple of 89? False Does 22 divide 35222? True Is 10 a factor of 2595508? False Does 1113 divide 1959829? False Is 529665 a multiple of 60? False Is 101280 a multiple of 120? True Is 48 a factor of 170634? False Is 455 a factor of 155610? True Is 5182528 a multiple of 3? False Is 1405195 a multiple of 17? False Is 107925 a multiple of 5? True Does 4 divide 193353? False Does 19 divide 96074? False Is 187 a factor of 503404? True Does 80 divide 542960? True Does 161 divide 429709? True Is 696 a factor of 3095540? False Is 377118 a multiple of 544? False Does 34 divide 168402? True Does 24 divide 9996816? True Is 177444 a multiple of 18? True Does 43 divide 368642? False Is 78 a factor of 5498688? True Does 180 divide 224640? True Is 1298256 a multiple of 629? True Is 162 a factor of 53946? True Does 50 divide 53202? False Is 664 a factor of 1535992? False Is 15 a factor of 1772542? False Is 52000 a multiple of 32? True Is 3799492 a multiple of 44? False Is 167 a factor of 225951? True Does 119 divide 7543172? True Does 75 divide 128925? True Does 103 divide 41921? True Does 8 divide 70697? False Is 11266646 a multiple of 205? False Does 4 divide 4174332? True Is 2153696 a multiple of 8? True Does 6 divide 511983? False Is 234 a factor of 447408? True Is 344 a factor of 6849384? True Is 7232059 a multiple of 27? False Is 50 a factor of 59700? True Is 35 a factor of 1178929? False Is 380 a factor of 8362239? False Does 28 divide 15829128? True Is 6 a factor of 401109? False Is 601 a factor of 6053873? True Does 75 divide 2800275? True Does 124 divide 826201? False Does 394 divide 8621114? True Is 36 a factor of 137473? False Does 10 divide 57000? True Is 2173362 a multiple of 46? True Is 18059 a multiple of 114? False Does 692 divide 754972? True Is 320 a factor of 385293? False Is 12 a factor of 82140? True Does 599 divide 218241? False Is 22 a factor of 761937? False Is 2694243 a multiple of 229? False Is 27 a factor of 14361381? True Does 6 divide 17797276? False Is 2 a factor of 12672? True Is 98 a factor of 1907178? True Does 1458 divide 3414012? False Does 25 divide 1932200? True Does 146 divide 2358576? False Is 974550 a multiple of 73? True Is 24 a factor of 14533584? True Is 1839978 a multiple of 238? True Does 525 divide 6725564? False Does 24 divide 99523? False Is 804 a factor of 213060? True Is 25 a factor of 2000? True Does 13 divide 5140782? False Is 34 a factor of 13604760? True Is 7 a factor of 72632? True Is 6135844 a multiple of 26? True Is 4722944 a multiple of 19? True Is 8 a factor of 140872? True Does 6 divide 104058? True Does 7 divide 106365? True Is 53 a factor of 464141? False Does 100 divide 3922222? False Does 40 divide 327120? True Does 513 divide 167886? False Is 88 a factor of 254742? False Does 20 divide 287560? True Does 347 divide 118043? False Is 2778849 a multiple of 123? False Is 66437 a multiple of 158? False Does 22 divide 99073? False Does 22 divide 3773521? False Does 8 divide 378640? True Does 9 divide 23739? False Is 5015109 a multiple of 14? False Is 30 a factor of 95459? False Is 26 a factor of 184191? False Is 410 a factor of 1620320? True Is 175464 a multiple of 17? False Is 109 a factor of 491472? False Is 251736 a multiple of 12? True Is 412439 a multiple of 6? False Is 153849 a multiple of 17? False Is 862575 a multiple of 31? True Is 74748 a multiple of 144? False Does 716 divide 970896? True Is 1832 a factor of 2647304? False Is 438 a factor of 1268886? True Does 2 divide 3084? True Does 13 divide 2011035? True Is 4079208 a multiple of 12? True Is 209196 a multiple of 786? False Is 125891 a multiple of 131? True Does 4 divide 267828? True Does 35 divide 211336? False Does 16 divide 650368? True Does 13 divide 2888717? True Does 5 divide 2139791? False Is 1511998 a multiple of 82? True Is 36 a factor of 37847? False Is 29016 a multiple of 248? True Does 16 divide 42864? True Is 22 a factor of 1473844? False Is 131480 a multiple of 19? True Is 10073490 a multiple of 445? False Is 71621 even? False Is 4972687 a multiple of 73? True Does 34 divide 392360? True Is 2491524 a multiple of 4? True Is 150869 a multiple of 23? False Is 58 a factor of 43848? True Is 10 a factor of 3351700? True Does 205 divide 59450? True Is 33 a factor of 155694? True Does 45 divide 1285273? False Does 383 divide 635014? True Is 12 a factor of 53472? True Is 4 a factor of 40748? True Is 11 a factor of 564750? False Is 92634 a multiple of 6? True Does 52 divide 3811028? True Is 51 a factor of 1580184? True Is 774051 a multiple of 14? False Is 4054233 a multiple of 9? False Is 361 a factor of 629083? False Is 15 a factor of 296475? True Does 636 divide 2388816? True Is 219560 a multiple of 5? True Is 233 a factor of 3739175? False Is 5170508 a multiple of 38? True Does 28 divide 103835? False Does 229 divide 423952? False Does 44 divide 25740? True Does 44 divide 3017895? False Is 12 a factor of 1675480? False Does 35 divide 350667? False Is 151 a factor of 894071? True Is 194 a factor of 8102992? True Does 41 divide 698621? False Is 1345032 a multiple of 18? True Is 60 a factor of 1180870? False Is 896678 a multiple of 202? True Does 180 divide 15846? False Is 122 a factor of 263007? False Is 5213 a multiple of 3? False Does 8 divide 2377115? False Is 5132565 a multiple of 513? True Is 13 a factor of 1060823? False Does 23 divide 212723? False Is 78100 a multiple of 11? True Does 46 divide 277752? False Is 46 a factor of 6021463? False Is 4 a factor of 264954? False Is 3697680 a multiple of 336? True Does 728 divide 2862413? False Does 106 divide 48299? False Is 43113 a multiple of 21? True Does 14 divide 8256? False Does 891 divide 284229? True Does 3 divide 5265666? True Is 55 a factor of 18125519? False Is 55915 a multiple of 265? True Is 15 a factor of 788625? True Does 12 divide 21163? False Is 102083 a multiple of 37? True Does 15 divide 1986030? True Is 15002 a multiple of 5? False Is 132750 a multiple of 177? True Is 1039237 a multiple of 11? False Does 49 divide 58800? True Is 501 a factor of 163827? True Is 469026 a multiple of 213? True Does 75 divide 360675? True Is 17 a factor of 2211287? False Is 25 a factor of 1814501? False Is 140 a factor of 58800? True Does 17 divide 829760? False Is 941112 a multiple of 108? True Is 37 a factor of 16019121? False Is 480915 a multiple of 18? False Is 2141468 a multiple of 10? False Is 7215 a multiple of 13? True Does 191 divide 1029872? True Is 9975 a multiple of 6? False Is 21459 a multiple of 279? False Does 31 divide 204011? True Does 19 divide 14053960? False Is 1828160 a multiple of 464? True Is 19877 a multiple of 6? False Does 7 divide 69993? True Does 116 divide 603478? False Is 411 a factor of 756240? True Does 13 divide 11178448? False Is 31 a factor of 6288? False Is 16968798 a multiple of 63? True Does 284 divide 42884? True Is 263 a factor of 104529? False Is 149 a factor of 518956? False Does 9 divide 2547? True Does 26 divide 453050? True Does 103 divide 56650? True Is 682 a factor of 1439702? True Does 57 divide 913824? True Is 2012406 a multiple of 3? True Is 325 a factor of 26833647? False Is 102812 a multiple of 13? False Is 186 a factor of 1829124? True Is 240277 a multiple of 496? False Is 73588 a multiple
{ "pile_set_name": "DM Mathematics" }
ose -5*c + 2893736 = 4*p, 5*p + c = 4045277 - 428128. Is p/168 - (-1)/(-8) composite? True Suppose 12*o - 36565 = 310787. Suppose o = 4*m - 5*d, -2*m - 2*m = 5*d - 28926. Is m a composite number? True Suppose 26038 = -5*q - 15217. Suppose 0 = 5*b - 3*d + 60484, -5*b - d - 96333 = -35841. Let o = q - b. Is o a composite number? False Suppose -4*f + 11619 = -10733. Suppose 116 = -20*v + 276. Suppose v*n = 4*n + f. Is n prime? False Let z(g) = g**2 - 18*g - 25. Let s be z(17). Is (-347718)/(-46) + s/483 prime? True Suppose -5*m + v = 3*v - 74190, -5*m = -v - 74175. Suppose -9*l + m + 3434 = 0. Suppose -3*x = -0*x - 2*o - 1221, 0 = -5*x + 5*o + l. Is x composite? False Suppose 3*m - 9942 = 1410. Suppose 0 = -2*n + 8198 + m. Is n prime? False Suppose 4*c + 15846 + 717 = -5*z, -3*c - 3306 = z. Let a be ((-2824)/(-6))/(2/24). Let s = z + a. Is s composite? False Suppose -246 = 5*t + d + 271, 5*t - d + 523 = 0. Let u be t/39*(-9)/4 - 1. Suppose -5*k = -u*q + 1010, k = 4*q - 1129 + 312. Is q a prime number? False Suppose -5*n + 7 + 3 = 0, 5*x - 424860 = 5*n. Is x a composite number? True Suppose -5*h = 20, -2*m - 2*h + 8446 = -6*h. Let o = 2848 + m. Is o prime? False Let g(l) = 3*l + 14. Let p be 4*(-1 + 0/2). Let o be g(p). Suppose 2*j - 1466 = -3*j - v, -2*v = o*j - 588. Is j a prime number? True Let f = 93138 + -64987. Is f composite? False Suppose 0 = -7*c - 27*c - 721344. Let a = 9173 - c. Is a prime? True Suppose 14 = 3*o - m, 10*m - 14*m - 20 = 0. Is -1 + (-16)/(-12) + 13466/o composite? True Let c(x) = x**3 - 69*x**2 + 142*x - 541. Let p be c(67). Let b(f) be the first derivative of -16*f**2 - 15*f - 1. Is b(p) composite? True Let c be (7 - (5 + 4))*3/2. Is c/(-30)*5*10454 prime? True Let f = -294 - -294. Is ((-84735)/(-12) - f) + (-13)/52 a composite number? True Suppose -5*g = 2*q - 990, -5*q + 594 = 15*g - 12*g. Is 1442199/g - (-10)/(-12) prime? True Let c(t) = 2*t**3 - t**2 - 2*t + 20. Let a be c(0). Is -1*(-2)/(-8) - (-23985)/a composite? True Let i(k) = 311*k + 62. Let b be i(-9). Let m = -618 - b. Is m a composite number? True Suppose 0 = -10*z + 13 + 17. Let u(y) = -6 - 6*y**2 - 9*y**3 + 7*y**z + 0 + 3*y + 0*y**2. Is u(-5) a prime number? True Suppose -26*f + 67 = -297. Suppose f*g - 31395 = 24451. Is g a prime number? True Suppose 19*d + 987193 = 5*i + 15*d, 6 = 2*d. Is i prime? True Suppose 6*k - 201642 = 20*k. Let l = 23924 + k. Is l a composite number? False Let d = 2188 - 1397. Let r = -1157 + d. Is ((-9)/(-27))/((-1)/r) a composite number? True Let n = -14 - -18. Let v be 48/200*-5*(-10)/n. Suppose i + v*u - 2965 = 5*u, 3*u + 5927 = 2*i. Is i a prime number? False Let u(b) = 12*b**2 - b + 12. Let z be -2 - (-14 + (2 - 0)). Suppose -2*h - z = -4*l, 0 = 4*l - 0*h - 5*h + 5. Is u(l) composite? False Let n(z) = -227*z + 74 - 85 + 116. Is n(-26) prime? True Let w = -15 - -20. Suppose x - 7 = w*i, 2*x + 8 = -2*i + 5*x. Let u = 212 + i. Is u prime? True Let q(r) = r**3 + 2*r + 4. Let h be q(0). Suppose 0 = h*y + 9*y - 3016. Suppose 4*g - 132 - y = 0. Is g a prime number? False Let f be 374/170 - 8/(-10). Suppose -2*g = 4*w - 22165 + 3973, -f*w + 13635 = -3*g. Is w prime? True Let u(h) = -93*h**2 + 3*h + 5*h + 183*h**2 - 4 + 123*h**3 - 96*h**2. Is u(3) a prime number? False Let s be 3936/10*2200/165. Let c = 31479 - s. Is c a composite number? True Let n = 17183 + -8170. Let j = 22862 - n. Is j prime? False Let s = 229 + -217. Is ((-276512)/s*9/(-12))/2 a composite number? False Suppose -m = -g + 195840 + 95719, -1166236 = -4*g + 5*m. Is g composite? False Let b = -156 + 156. Let x(t) = -t**2 + 3*t + 307. Is x(b) a composite number? False Let n = -15 - -12. Let u be n/(-6) + 2/(-4) + -10929. Is u/(-33) - (-4)/(-44)*2 a prime number? True Let n(c) = -c**3 - 7*c**2 - 3*c - 8. Let i be n(-7). Suppose -5*a = -25, y = -i*a + 11*a + 7503. Is y prime? False Let q(o) = 2*o + 1. Let f be q(2). Let l(r) = 428*r - 29. Is l(f) composite? False Let p be (-2)/13 - -2*(-30)/(-52). Let m be (-10 - (4 - 9))*p*-1. Suppose -5*g + m*f + 11091 = -10964, -17630 = -4*g - 3*f. Is g a prime number? True Suppose 18*g - 155801 - 220507 = 0. Is g a composite number? True Let i(m) = 212*m**2 + 4*m - 119 + 106 + 186*m**2. Is i(3) a prime number? True Let w = -23 + 27. Suppose s - d = -39, -d + w*d = 12. Is (-55765)/s + -4 + (-4)/14 a composite number? True Is 368580/360*(4 + -1 + 3) a prime number? True Suppose 0 = -4*o + 2*s - 4440, -6*o - 5552 = -o - 2*s. Let t = o + 584. Let k = 515 - t. Is k a prime number? False Suppose -25*m + 13278883 = 11*m - 6190889. Is m composite? True Is (-184)/14 + 80/560 + 311964 a prime number? True Suppose -21*o = 6*q - 16*o - 125243, 4*q - 2*o - 83490 = 0. Is q a prime number? True Let a(m) = -23*m - 29. Let u = -90 - -81. Let y be a(u). Suppose 0 = -4*d - 2*i + 550, -4*i = 2*d - y - 88. Is d prime? True Let w(v) = 78*v**3 + 15*v**2 - 3*v - 55. Is w(7) prime? False Let j = 217677 - 152246. Is j a composite number? True Let j(c) = -2*c**2 - 13*c - 10. Let x be j(-6). Let g be -144 - (15/x + 1/(-4)). Let s = g - -457. Is s prime? True Let n = 1 + -6. Let x be (-2)/(-32) - 9359280/(-1280). Is (-4)/(-6) + (n - x/(-3)) a prime number? False Let n(w) = -10615*w + 81. Is n(-52) a composite number? True Let w = -245 - -390. Suppose -w*o + 149*o = 4268. Is o composite? True Let i = 20227 - -124716. Is i composite? True Let j(f) = -2929*f - 243. Let b(o) = 8787*o + 729. Let l(h) = 4*b(h) + 11*j(h). Is l(4) a composite number? False Let c be 82892/16 + (-9)/(-36). Suppose 0 = 6*n - 9*n + c. Is n a composite number? True Let p = 13995 - 11141. Is p prime? False Is ((-4)/8)/((-18)/(-253667052)*-9) a composite number? True Let m = -19 + 24. Suppose 9212 + 3733 = m*x. Is x a composite number? True Let d(q) = -q + 19. Let z(v) = 4*v - 37. Let n(b) = -7*d(b) - 4*z(b). Is n(-16) prime? False Let o be 5 - (-2 + (28 + -2)/(-1)). Is ((0 - -4) + o)/(3/1437) composite? True Let s(v) = -v**2 + 8*v - 38. Let o(m) = -2*m**2 + 8*m - 38. Let w(z) = -2*o(z) + 3*s(z). Let l be w(-10). Is (1459/(-3))/(6/l) prime? True Let f(q) = q + 1. Let z(k) = 224*k + 51. Let r(d) = f(d) - z(d). Is r(-19) a composite number? True Suppose -14*g = -4364169 - 2377237. Is g prime? False Suppose 3*d - 10 = d, -14514 = -4*b + 2*d. Suppose -11*g - 18203 = -5*a - 12*g, 5*g - b = -a. Is a a prime number? False Let z = -232 + 230. Is 1 - z - -20309 - 25/(-5) composite? True Is (47086/(-4))/((-44)/88) a composite number? True Suppose 50174 = 32*n - 133378. Let l = n - 3134. Is l a composite number? True Let m = -49 + 147. Let x(k) = -37*k - 29. Let g be x(-2). Let p = g + m. Is p prime? False Suppose 4*u = 22*y - 21*y - 43633, 5*u - 43642 = -y. Suppose y = 38*a - 27*a. Is a a composite number? False Let m = -6 - 42. Suppose -5*z + 2*z + b = -10, 0 = -5*z - 2*b + 2. Is (-6 - (z - 4))*300/m a composite number? True Is -1*30/50 + 244104/15 composite? False Suppose -3*d + 2*d - 7168 = -3*p, 5*p - 4*d = 11956. Suppose 4*c - p = c - 3*n, -2*c + 4*n + 1562 = 0. Is c a prime number? False Suppose -k = 4*o + 3 - 111, -3*o + 472 = 5*k. Let z = k - 65. Is (18/z)/(8/9582)*2 prime? True Suppose 3*j = p + 8, -p - 3*j + 10 = -0*p. Let k be ((-279)/(-18))/(p/46). Let i = -266 + k. Is i a composite number? True Let v(u) be the third derivative of -51*u**4/8 + 8*u**3/3 + 80*u**2. Is v(-21) a composite number? False Let t(n) = 35*n**3 - 2075*n**2 + 49*n - 116. Is t(63) a composite number? True Let a be (-19480)/(1/3 - 1). Let i be (-385)/(-30) + (-3 - 95/(-30)). Suppose -b + i*b = a. Is b composite? True Let s(h) = -8*h - 39. Let m be s(-4). Is (20/m)/5 + 40541/7 prime? True Suppose -3882 = -2*q + 2*i, 3*i - 2066 + 5950 = 2*q. Suppose w - q + 161 = 0. Suppose 0 = -c - c + w. Is c a prime number? False Let o be -9*(1 - (-55)/(-45)). Let u be 2/6 - (-22)/6. Suppose -116 = u*q - 5*q - 5*r, 5*q + o*r = 603. Is q a prime number? False Is (10101330/300*2/(-1))/(5/(-25)) a prime number? False Suppose -3 + 7 = -i. Let v = -367 - -720. Is v/4 - 3/i prime? True Let o(m) = -3*m**3 - 60*m**2 + 102*m - 13. Is o(-36) a composite number? True Let p(h) = -2*h - 28. Let i be p(-14). Let l be 0 + i/(3 - 2). Suppose -3*r - 7*g + 2*g = -1646, 2*g + 10 = l. Is r a prime number? True Let a = 66661 + -41921. Suppose -7*x = -1
{ "pile_set_name": "DM Mathematics" }
*x**3 + 12*x**2 + 3*x - 12 = 0. Calculate x. -1, 1, 4 Factor -2*r**2/5 - 122*r/5 - 112. -2*(r + 5)*(r + 56)/5 Factor q**3/4 - 3*q**2/4 + q/2. q*(q - 2)*(q - 1)/4 Factor 10*u**4 - 75*u**3 + 15*u**2 + 155*u - 105. 5*(u - 7)*(u - 1)**2*(2*u + 3) Find x, given that 5329*x**3 - 5183*x**2 - 145*x - 1 = 0. -1/73, 1 Factor 2*l**2/13 - 414*l/13 + 412/13. 2*(l - 206)*(l - 1)/13 Factor 2*p**3 + 78*p**2 - 3042*p + 21970. 2*(p - 13)**2*(p + 65) Factor -525*i**2/2 - 1059*i/2 - 9. -3*(i + 2)*(175*i + 3)/2 Find y, given that -5*y**5 - 2260*y**4 + 2280*y**3 + 6790*y**2 - 2275*y - 4530 = 0. -453, -1, 1, 2 Factor 3*z**4/4 + 1263*z**3/4 - 3807*z**2/4 + 3813*z/4 - 318. 3*(z - 1)**3*(z + 424)/4 Solve 6*p**5/5 + 84*p**4 + 2358*p**3/5 + 3456*p**2/5 = 0 for p. -64, -3, 0 Determine h, given that 5*h**5/4 - 5*h**4 - 55*h**3/4 + 65*h**2/2 + 80*h + 40 = 0. -2, -1, 4 Solve -12*i**2/17 + 86*i/17 - 74/17 = 0. 1, 37/6 Solve 2*g**3/3 - 10*g**2/3 + 4*g/3 + 16/3 = 0. -1, 2, 4 Determine m, given that -2*m**5/5 + 22*m**4/5 - 34*m**3/5 - 22*m**2/5 + 36*m/5 = 0. -1, 0, 1, 2, 9 Let -6*g**2 - 36*g/5 + 192/5 = 0. What is g? -16/5, 2 Factor 3*o**3 + 48*o**2. 3*o**2*(o + 16) Factor -5*c**4/6. -5*c**4/6 Solve -4*k**2 - 8136*k - 4137156 = 0 for k. -1017 Solve -4*v**5 - 44*v**4 + 52*v**3 + 44*v**2 - 48*v = 0 for v. -12, -1, 0, 1 Factor -3*v**2 - 93*v - 174. -3*(v + 2)*(v + 29) Determine n, given that -4*n**2 + 64*n = 0. 0, 16 Let 5*w**4 - 60*w**3 + 235*w**2 - 360*w + 180 = 0. What is w? 1, 2, 3, 6 Factor -3*c**2 + 120*c + 123. -3*(c - 41)*(c + 1) Let 3*s**3 - 57*s**2 + 105*s - 51 = 0. What is s? 1, 17 Let -3*b**5/2 - 21*b**4 - 177*b**3/2 - 87*b**2 + 90*b + 108 = 0. What is b? -6, -2, -1, 1 Suppose -c**2/2 + 67*c + 135/2 = 0. What is c? -1, 135 Factor 2*c**3/7 - 88*c**2/7 + 54*c + 14580/7. 2*(c - 27)**2*(c + 10)/7 Factor z**4/5 + 202*z**3/5 + 10397*z**2/5 + 3880*z - 6000. (z - 1)*(z + 3)*(z + 100)**2/5 Suppose 2*a**4/11 - 90*a**3/11 + 412*a**2/11 - 480*a/11 = 0. What is a? 0, 2, 3, 40 Factor -z**3 + 18*z**2 + 84*z - 1960. -(z - 14)**2*(z + 10) Find v such that -2*v**2/7 + 1110*v/7 - 316 = 0. 2, 553 Determine x, given that 2*x**2/21 - 480*x/7 + 86400/7 = 0. 360 Factor w**2 - 72*w + 140. (w - 70)*(w - 2) Factor -3*p**2/7 - 234*p/7 + 237/7. -3*(p - 1)*(p + 79)/7 Let 64*d**2/7 + 1151*d/7 - 18/7 = 0. What is d? -18, 1/64 Factor 5*n**3 - 24*n**2 - 5*n. n*(n - 5)*(5*n + 1) Factor -h**2/2 - 136*h - 1855/2. -(h + 7)*(h + 265)/2 Find x, given that 2*x**4/15 - 692*x**3/15 + 19718*x**2/5 + 41064*x/5 - 60552/5 = 0. -3, 1, 174 Determine b, given that -5*b**5 - 65*b**4 - 335*b**3 - 855*b**2 - 1080*b - 540 = 0. -3, -2 Factor -5*f**2 + 130*f - 800. -5*(f - 16)*(f - 10) Determine n so that 2*n**2/11 - 86*n/11 - 8 = 0. -1, 44 Factor -4*t**3 + 3664*t**2 + 3668*t. -4*t*(t - 917)*(t + 1) Determine a so that 5*a**5 - 95*a**4 + 455*a**3 - 905*a**2 + 800*a - 260 = 0. 1, 2, 13 Solve 3*i**5 + 6*i**4 - 9*i**3 = 0 for i. -3, 0, 1 Factor 3*k**4 - 126*k**3 + 360*k**2 - 354*k + 117. 3*(k - 39)*(k - 1)**3 What is i in 2*i**2/21 - 32*i/7 + 184/21 = 0? 2, 46 Factor -2*r**2/5 - 60*r - 1168/5. -2*(r + 4)*(r + 146)/5 Factor 2*t**2/11 + 42*t/11 - 260/11. 2*(t - 5)*(t + 26)/11 Determine y, given that -y**4 - 28*y**3 - 153*y**2 - 126*y = 0. -21, -6, -1, 0 Factor b**3/4 + 9*b**2 - 651*b/4 + 1225/2. (b - 7)**2*(b + 50)/4 Solve 10*k**4 - 68*k**3 + 38*k**2 + 68*k - 48 = 0 for k. -1, 4/5, 1, 6 Solve -2*y**5/5 - 16*y**4 - 160*y**3 = 0 for y. -20, 0 Determine f, given that 5*f**4/2 + 45*f**3 + 205*f**2/2 - 180*f - 450 = 0. -15, -3, -2, 2 Factor 694*t**3 + 2772*t**2 + 2760*t - 16. 2*(t + 2)**2*(347*t - 2) Factor p**4/6 - 2*p**3/3. p**3*(p - 4)/6 Factor -2*p**2 - 11184*p - 15635232. -2*(p + 2796)**2 Factor c**3/3 - 20*c**2/3 + 19*c/3. c*(c - 19)*(c - 1)/3 Find x such that -3*x**4/7 + 6*x**3 = 0. 0, 14 Let 4*f**3 - 40*f**2 + 116*f - 80 = 0. Calculate f. 1, 4, 5 Factor -3*l**2 + 942*l - 7344. -3*(l - 306)*(l - 8) Factor -5*v**3 - 3670*v**2 + 7355*v - 3680. -5*(v - 1)**2*(v + 736) Find h such that -h**3/2 - 23*h**2/2 - 45*h = 0. -18, -5, 0 Suppose 3*j**5/4 - 279*j**4/4 + 3465*j**3/4 - 11613*j**2/4 = 0. What is j? 0, 7, 79 Factor -u**4/5 + 31*u**3/5 - 159*u**2/5 + 45*u. -u*(u - 25)*(u - 3)**2/5 Factor -q**3/3 + 110*q**2/3 + 229*q + 348. -(q - 116)*(q + 3)**2/3 Factor 3*o**2 - 1674*o + 3336. 3*(o - 556)*(o - 2) Factor -r**3/2 + 5*r**2/2 + 24*r - 126. -(r - 6)**2*(r + 7)/2 Suppose 4*p**2 + 128*p + 124 = 0. What is p? -31, -1 Solve 5*g**5 + 175*g**4 + 855*g**3 - 535*g**2 - 2960*g - 1740 = 0. -29, -6, -1, 2 Factor 10*u**3/3 + 72*u**2 + 374*u - 484/3. 2*(u + 11)**2*(5*u - 2)/3 Factor -3*o**2/2 + 81*o + 165/2. -3*(o - 55)*(o + 1)/2 Solve 7*p**4/3 + 10*p**3 - 41*p**2/3 - 28*p - 20/3 = 0 for p. -5, -1, -2/7, 2 Factor -2*l**3/5 + 6*l**2/5 + 8*l/5 - 24/5. -2*(l - 3)*(l - 2)*(l + 2)/5 Solve k**3 - 87*k**2 + 1935*k - 1849 = 0 for k. 1, 43 Factor 9*t**5 - 42*t**4 + 66*t**3 - 36*t**2 - 3*t + 6. 3*(t - 2)*(t - 1)**3*(3*t + 1) Factor -3*j**3 - 1689*j**2. -3*j**2*(j + 563) Factor 4*t**2 - 528*t - 3312. 4*(t - 138)*(t + 6) Factor 6*w**2/5 + 102*w - 540. 6*(w - 5)*(w + 90)/5 Find p, given that 3*p**3 + 21*p**2 + 6*p - 120 = 0. -5, -4, 2 Factor p**3/2 + 393*p**2/2 - 792*p + 794. (p - 2)**2*(p + 397)/2 What is z in 2*z**4 - 7100*z**3 + 21288*z**2 - 21284*z + 7094 = 0? 1, 3547 Suppose 4*q**2 - 44296*q + 122633476 = 0. Calculate q. 5537 Factor -a**4 - 18*a**3 - 59*a**2 + 78*a. -a*(a - 1)*(a + 6)*(a + 13) Factor -3*u**3 + 30*u**2 + 3*u - 30. -3*(u - 10)*(u - 1)*(u + 1) Let -3*f**5 - 117*f**4 - 1068*f**3 + 1668*f**2 + 4320*f - 4800 = 0. What is f? -20, -2, 1, 2 Factor -4*z**3/3 + 5644*z**2 - 7963684*z + 11236758124/3. -4*(z - 1411)**3/3 Factor -9*m**2/2 + 29*m/2 - 3. -(m - 3)*(9*m - 2)/2 Factor -4*x**3 + 20*x**2/3 + 44*x/3 + 4. -4*(x - 3)*(x + 1)*(3*x + 1)/3 Solve r**5/2 - r**4 - r**3/2 + r**2 = 0 for r. -1, 0, 1, 2 Find x, given that -5*x**2 + 2000*x - 200000 = 0. 200 Factor 2*x**4 + 10*x**3 + 4*x**2 - 16*x. 2*x*(x - 1)*(x + 2)*(x + 4) Determine h so that -3*h**5/4 + 9*h**4/4 - 3*h**3/4 - 9*h**2/4 + 3*h/2 = 0. -1, 0, 1, 2 Let -u**4/7 - 625*u**3/7 - 96714*u**2/7 + 42076*u - 197192/7 = 0. What is u? -314, 1, 2 Find m such that 147*m**5 - 50043*m**4 + 120720*m**3 - 18120*m**2 - 44592*m - 8112 = 0. -2/7, 1, 2, 338 Solve j**2/3 - 4*j - 13/3 = 0. -1, 13 Factor -s**2/7 + 67*s/7 - 310/7. -(s - 62)*(s - 5)/7 Factor 2*t**3 + 10114*t**2 + 12791680*t + 12781568. 2*(t + 1)*(t + 2528)**2 Suppose t**3 + 779*t**2 + 152099*t + 151321 = 0. Calculate t. -389, -1 Solve 5*f**4 - 1405*f**2 + 8100*f + 9500 = 0. -19, -1, 10 Factor -5*h**2 + 975*h + 3980. -5*(h - 199)*(h + 4) Factor 4*r**4 + 728*r**3 + 27636*r**2 - 499408*r + 1882384. 4*(r - 7)**2*(r + 98)**2 Factor 2*a**2/3 - 52*a/3 + 112. 2*(a - 14)*(a - 12)/3 Factor -8*s**3 - 7*s**2 + 15*s. -s*(s - 1)*(8*s + 15) Find q, given that 5*q**5 + 625*q**4 - 15*q**3 - 1865*q**2 + 1250*q = 0. -125, -2, 0, 1 Factor 3*a**2 - 186*a - 2664. 3*(a - 74)*(a + 12) What is i in 5*i**4/2 - 65*i**2/2 - 30*i = 0? -3, -1, 0, 4 Factor -2*p**4 - 424*p**3 - 7200*p**2 - 42336*p - 83808. -2*(p + 6)**3*(p + 194) Let -m**4/5 + 144*m**3/5 + 292*m**2/5 = 0. Calculate m. -2, 0, 146 Factor 3*u**3/4 + 21*u**2/4 + 3*u - 9. 3*(u - 1)*(u + 2)*(u + 6)/4 Suppose n**4/9 + 13*n**3/3 - 127*n**2/9 - 13*n/3 + 14 = 0. What is n? -42, -1, 1, 3 Factor 4*j**4 - 168*j**3 + 2160*j**2 - 8800*j. 4*j*(j - 22)*(j - 10)**2 Suppose -5*d**3 - 1190*d**2 + 2400*d = 0. Calculate d. -240, 0, 2 Factor 3*m**3/4 - 51*m**2/2 + 195*m/4 - 24. 3*(m - 32)*(m - 1)**2/4 Factor -3*x**2 - 3408*x - 967872. -3*(x + 568)**2 Find b such that 3*b**3/4 - 21*b**2/4 - 21*b/2 + 36 = 0. -3, 2, 8 Factor q**4/7 + 30*q**3/7 - 207*q**2/7 + 324*q/7. q*(q - 3)**2*(q + 36)/7 Factor -3*a**2/7 + 6642*a/7 - 3676347/7. -3*(a - 1107)**2/7 Solve 4*b**3/7 + 184*b**2/7 + 156*b/7 - 1080/7 = 0 for b. -45, -3, 2 Determine a, given that -a**4/4 + 196*a**3 - 783*a**2/4 = 0. 0, 1, 783 Solve 2*q**3 + 36*q**2 + 30*q - 68 = 0 for q. -17, -2, 1 Factor -2*r**2/3 + 17582*r/3 - 5860. -2*(r - 8790)*(r - 1)/3 Determine k, given that -5*k**3 + 35*k**2 + 90*k = 0. -2, 0, 9 Suppose 18*v**5 - 86*v**4 + 124*v**3 - 40*v**2 - 16*v = 0. Calculate v. -2/9, 0, 1, 2 Factor -4*d**3/5 - 76*d**2/5 - 392*d/5 - 64. -4*(d + 1)*(d + 8)*(d + 10)/5 Determine s so t
{ "pile_set_name": "DM Mathematics" }
0*m**2 + 52081*m + m**2 - 1 to j*m + g + r*m**2 and give r. 1 Rearrange (-43*k + 3 + 40*k + 8)*(222*k**3 + 223*k**3 - 449*k**3 + 10) to b*k**4 + i + j*k**2 + n*k**3 + l*k and give l. -30 Express -2 + 0 - 1 + 7 + 39*r - 3 in the form x*r + g and give x. 39 Rearrange 23*o**3 - 8*o**2 - 273*o**4 + 274*o**4 - 6*o + 7*o**2 to the form j*o**2 + z*o**4 + h*o + k*o**3 + b and give b. 0 Rearrange c + c - 77*c**2 - 302*c**2 + 35*c**2 to x*c**2 + m + s*c and give s. 2 Rearrange -13*s + 26*s + 120*s to p*s + y and give y. 0 Express (-7*u**3 + 40*u**2 - 40*u**2)*((-10 + 0 + 6)*(0 + 2 - 6) + 1 + 0 + 2) as v*u + n + i*u**3 + b*u**2 and give v. 0 Rearrange -252*q + 506*q - 253*q - 301 to the form a*q + r and give r. -301 Express -2226*y + 7 - 7 + 2997*y in the form l + c*y and give c. 771 Express -302 + 302 - 12*r**2 - 6*r in the form n*r**2 + i + x*r and give n. -12 Rearrange -381*d - 94*d - 322*d to m + x*d and give x. -797 Rearrange -24*n**3 - 29*n**3 + 66*n**3 - 21*n**3 - 13*n + 3 to the form f*n**2 + w*n + k + j*n**3 and give j. -8 Express (0 + t + 0)*(0 + 3 + 1)*(45*t + 16*t + 18*t) as q*t**2 + w + o*t and give q. 316 Rearrange 2*y - 59*y**2 - 76*y**2 - 1 + 62*y**2 + 1 to the form b*y + g + l*y**2 and give b. 2 Rearrange (188*h + 0 - 114*h - 2)*(18*h**2 - 16*h**3 - 18*h**2) to m*h**4 + g + u*h**2 + c*h**3 + y*h and give g. 0 Express (-33 + 12 - 51 + n)*(0*n + 0*n - 3*n) as o*n + y + p*n**2 and give p. -3 Rearrange 50*m**2 + 189 - 364 + 182 to the form g + q*m**2 + x*m and give x. 0 Rearrange (3*s**4 - 4*s**4 + 2*s**4)*(-1 + 2 - 3) - 2*s**4 + s**3 - s**3 + 0*s**4 - 5*s**4 - 4*s**4 to x*s**2 + c*s**3 + k + z*s + u*s**4 and give u. -13 Rearrange -12*f - 17*f**2 - 36*f**3 - 3 + 19*f**2 + 12*f + 273*f**3 to m*f + g + d*f**3 + c*f**2 and give g. -3 Express (0*p - 2*p + 0*p)*(-1 - 5 - 1)*(-103 + 31 - 24) in the form j + v*p and give v. -1344 Express (r - 2*r + 3*r)*(6*r + 18 - 18) + 0 + 9*r**2 - 2 + 0*r**2 + 1 - 1 - 2*r**2 in the form n + a*r**2 + k*r and give a. 19 Express (-4 - 6 + 23)*(30 - 4*t - 30)*(3 + 1 - 2) as c*t + x and give x. 0 Rearrange -687685 - 30*x**2 - 9*x + 687685 to the form v*x + s + l*x**2 and give v. -9 Rearrange -462*y**3 + 2*y**4 + 925*y**3 - 461*y**3 - 4 + y - 10*y**2 to the form r*y**3 + w*y + j*y**4 + o + l*y**2 and give l. -10 Rearrange 23*k + 14*k - 11*k + (5 + 0 - 3)*(-2 + 3 + 1)*(-4 + 1 + 1)*(-1 + 1 + k) to z*k + q and give z. 18 Rearrange (2 + 1 - 5 + 3 - 3 - 4 + (1 + 1 - 3)*(0 + 3 - 5))*(-6*x + 4*x + x + 0 - 4*x + 0 - 2 + 2 - x + (-2 + 3 - 3)*(-2*x + 3*x - 3*x)) to h*x + c and give h. 8 Rearrange (-2 - 3 + 4)*((-3 + 0 + 5)*(3*n**3 + 2*n**3 - 3*n**3) + 4*n**3 - 3*n**3 + n**3) to the form c*n**3 + z*n + p*n**2 + m and give c. -6 Rearrange 2*q - 2*q + 2*q**2 + (-4 + 4 + 27*q)*(2 + 3*q - 2) to c + y*q**2 + s*q and give y. 83 Express -2*z - 14 - 101 - 74 - 110 - z in the form l + s*z and give s. -3 Rearrange 2*n - n + 2*n - 1 + (-8 + 3 - 2)*(12 + 33*n - 12) to t*n + o and give t. -228 Express 2*i**2 - 426 - 434 + 864 - i**3 as a*i**2 + z*i + t + v*i**3 and give a. 2 Rearrange ((3*n - 4*n - n)*(-5 + 1 + 3) - n + 0*n + 2*n + n - 3*n + 4*n)*(-30 - 34 + 133)*(0 + 2 + 0) to the form l + f*n and give f. 690 Express (8*d**3 + 15*d**3 - 3*d**3)*(436 + 2*d - d - 509) as p*d**4 + q + l*d + j*d**2 + m*d**3 and give p. 20 Rearrange (9*t - 20*t - 7*t + 0 + 2*t + 0 + (6 - 1 - 3)*(0*t - t + 0*t) - t - t + 0*t)*(-57*t - 55*t + 120*t) to u*t**2 + c*t + x and give u. -160 Express 84*a - 499*a - 297*a + 31*a as x + q*a and give q. -681 Rearrange (-7 - 4 + 1)*(1 + 2*p**2 - 1 + (0*p - 3*p + p)*(0 + 0 - p) - 2*p + p**2 + 2*p + (3 - 3 + 2*p)*(0*p + 4*p - p)) to y*p + h + u*p**2 and give u. -110 Rearrange d + d**2 - 11 - 4 + 12 to the form o + k*d + g*d**2 and give o. -3 Express -a**2 - 42 - 2*a + a**2 + 4*a**2 - 2*a**2 + a as u*a**2 + x + g*a and give x. -42 Rearrange -3 - 2*g**4 + 7 - 1 + 6*g - 1 - 1 - g**3 to the form x*g + u*g**4 + y*g**2 + d + t*g**3 and give d. 1 Rearrange (4 - y**2 - 4)*(-428*y + 1373*y - 645*y) to l + u*y**3 + b*y**2 + c*y and give u. -300 Express -s**2 - 81*s - 85*s + 150*s in the form f + b*s**2 + w*s and give b. -1 Express 13189*y**2 - 54*y - 13187*y**2 + 9*y as z*y + q + p*y**2 and give p. 2 Rearrange -37 + 25 + 31*z**2 + 20 + (-4*z + 2*z + z)*(-z + 0*z + 3*z) to p*z**2 + n + c*z and give n. 8 Rearrange -148 - 19*g - 143 + 292 to the form h + q*g and give h. 1 Express 898 - 449 - 448 + 4*h**2 - 4*h**4 - 2*h**2 as q + m*h**4 + y*h**2 + v*h + p*h**3 and give q. 1 Express (5*y + 4*y - 5*y + (7 - 2*y - 7)*(1 - 1 - 12))*(-2*y + 6*y - 2*y) + 1 - 5 - y**2 + 5 as p*y + j + f*y**2 and give f. 55 Rearrange -11*k + 3 - 11*k + 11*k + 5 to g*k + q and give g. -11 Rearrange 2*b + 720 - b + b - 688 to the form y*b + o and give o. 32 Express 57 - 4 + 720*d - 23 - 30 as v*d + k and give v. 720 Express (-10 + 32 - 17)*(-12 - 27*f + 12) in the form c*f + p and give c. -135 Rearrange -o**4 + 1 - 233*o**3 - o**4 + 179*o**3 to j*o + u + q*o**3 + i*o**2 + b*o**4 and give u. 1 Rearrange (4 + 9 - 2)*(-10*m + 2*m + 5*m)*(3*m - 7*m + 3*m) to the form y + t*m**2 + d*m and give t. 33 Rearrange (1 - 5 - 10 + q)*((q + 0 + 0)*(-1 + 6 + 4) - 6*q + q + 4*q) to c + p*q**2 + n*q and give p. 8 Express (3*i - 2*i + 0*i)*(11 - 4 + 15)*(0*i - 4*i + 0*i) in the form b + k*i**2 + n*i and give k. -88 Rearrange -6 - 48*v**2 + 4 + 2 + 13*v + 47*v**2 + 1 to the form u*v + p + n*v**2 and give p. 1 Rearrange (-3 - 4 + 5)*(-2*k + 3*k - 2*k) + 6*k - 3*k + 3*k + ((0 - 2 - 2)*(1 + 2 - 4) + 2 + 20 + 22)*(-2*k + 2*k - k) to p*k + w and give p. -40 Rearrange (5 + 3 - 2)*(5 + 6 + 15)*(-1 + 2 - 2)*(-1 + 0 + 0)*(0 + 0 + s) to the form g*s + h and give g. 156 Rearrange (81 - 60 + 75)*(2 + 2*o + o + 0*o) to the form m + h*o and give m. 192 Express -12*s + 10 - 16*s + 7*s - 10 as k + l*s and give l. -21 Express 1 + 7*c - c**2 - 8*c**4 - 4*c**3 + 7*c**4 - 3*c - 9*c + 7*c as q*c + o*c**2 + n + k*c**4 + z*c**3 and give k. -1 Rearrange -10*m + 140*m**2 - 14*m + 119*m**2 + 132*m**2 - 372*m**2 to f*m + b + o*m**2 and give o. 19 Rearrange -1902*z - 86 - 54 + 12 + 1905*z to m + i*z and give i. 3 Rearrange -1 + 0 + 3*c - 4554*c**2 - 3*c + 4462*c**2 to h*c**2 + g + n*c and give h. -92 Rearrange 2*i**3 + i**3 + 760*i - 4 - 2*i**2 + 7 - 757*i to the form o*i + a*i**2 + v*i**3 + r and give r. 3 Rearrange z + 1 - 71 + 29 + 4*z**4 to the form u + h*z**2 + y*z + m*z**4 + n*z**3 and give h. 0 Express 20*c**2 - 10*c**2 - 9 - 9*c**2 - 10*c**2 + 2*c**2 - 2*c**2 + (0 - 2 + 0)*(2*c**2 - 2 + 2) in the form s*c**2 + m*c + o and give o. -9 Rearrange (3 - 1 - 4)*(-10 + 18*j - 2*j - 11*j) to the form a + n*j and give a. 20 Express 503*q - 1019*q + 16 + 11 + 510*q + 3*q**2 + 9 as a*q**2 + h*q + u and give u. 36 Express -y**4 - 11*y**3 + y + 9*y**3 + 3*y**2 + 13 - 31 as k + u*y**2 + c*y**3 + h*y + l*y**4 and give l. -1 Express 0*c**3 - 1 - c - c**3 + 0 + 24*c**2 + 16*c**4 - 23*c**2 as q*c + s + r*c**2 + u*c**4 + o*c**3 and give s. -1 Express (1614 + 960 - 732 + 50 + 2415)*(3*f - f - 3*f) in the form y + v*f and give v. -4307 Express (-2*h + 0 + 0)*(-2*h + 0*h + 4*h) - 4887 + 1071*h + 9769 - 4883 - 2*h**2 in the form p*h + c + i*h**2 and give p. 1071 Rearrange -8*z**2 - 3431 - 3*z + 3431 to b*z + y + q*z**2 and give q. -8 Express 197*j**2 - 140*j**2 + 14 - 83*j**2 as w + u*j + r*j**2 and give r. -26 Rearrange (1 - 2 + 3)*(-2*o - 2 + 2) - o + o - o + o - 4*o + o + (-73 + 55 - 238)*(o - 3*o - o) to the form i*o + u and give i. 761 Rearrange 169*b**2 - 39*b + 168*b**2 - 4*b - 21*b - 336*b**2 to l + k*b**2 + z*b and give z. -64 Express 28 - 170*w - 171*w + 347*w in the form v*w + m and give v. 6 Rearrange (18*p + 11*p - 20*p)*(p - 53*p - 80*p) to the form i*p**2 + g*p + m and give i. -1188 Express (-3181578*b + 12 - 116 + 3181580*b)*(2 - 2 - b) in the form z + j*b + o*b**2 and give j. 104 Express 5*k**3 + 18*k**2 - 4*k**3 - 13*k**2 + 12*k in the form n*k**2 + f*k + q*k**3 + i and give n. 5 Rearrange -118*q - 138*q - 58*q to t*q + c and give t. -314 Rearrange 2*j - 2 + 2 - 10*j + 7*j - 9*j + (5 + 0 - 3)*(-4*j + 5*j - 8*j) + (-2 + 4 - 1)*(-j + j + j) to the form k + d*j and give d. -23 Express (-3*t + t + 7*t)*(46*t**3 - 117*t**2 + 117*t**2) + (6*t**2 + 8*t**2 - 7*t**2)*(2*t - 2*t + t**2) as i*t**3 + g*t + u + o*t**4
{ "pile_set_name": "DM Mathematics" }
i be (2/(-2))/((-1)/4). Let v(n) = 2*n - 3*n**2 - 2*n + i*n. Let a(q) = -5*q**2 + 7*q. Give b*v(o) - 4*a(o). -o**2 Let p(f) = f + 1. Let i(w) = 5*w**2 + 3. Give -i(y) + 3*p(y). -5*y**2 + 3*y Let m be 7 + -4 + -2 + 3. Let h(z) = 6*z**3 - 5*z. Let d(c) = 7*c**3 - 9*c**3 + 11*c - 11*c**3. Give m*d(n) + 9*h(n). 2*n**3 - n Let p(i) = 2*i**3 + 2*i**2 - 2*i + 2. Let h(u) = -u**3 - 3*u**2 + 3*u - 3. Calculate -4*h(s) - 6*p(s). -8*s**3 Suppose -4*g = c + 9 - 34, 3*c - 10 = g. Let v = g + -14. Let a(s) = 5*s**2 + 4*s + 13. Let n(x) = 2*x**2 + 2*x + 6. What is v*n(h) + 4*a(h)? 2*h**2 - 2*h - 2 Let m(a) = 4*a + 1. Let h(w) = -w. Let l(k) = 3*k. Let f(u) = -8*h(u) - 3*l(u). Let z = -85 + 51. Let j be z/4 + 2/(-4). What is j*f(s) - 2*m(s)? s - 2 Let g(y) = y**2 + y + 3. Let h(u) = 6*u**2 + 5*u + 17. Let c(q) = -34*g(q) + 6*h(q). Let l(p) = 5*p**2 - 11*p. Calculate 11*c(f) - 4*l(f). 2*f**2 Let w(i) = -14*i - 6. Let u(o) = 13*o + 7. Calculate 5*u(r) + 6*w(r). -19*r - 1 Let g(h) = -5*h**3 + 2*h**2 - 2*h. Let o(v) = 26*v**3 - 11*v**2 + 10*v + 1. Let d(x) = -11*g(x) - 2*o(x). Let p(s) = -7*s**3 - 5*s + 5. Give 5*d(a) + 2*p(a). a**3 Suppose -5*k + 69 - 14 = 0. Let b(q) = 4*q**3 - 6*q**2 + 6. Let r(s) = 55*s**3 - 2*s + 11*s**2 - 11 - 62*s**3 + 2*s. What is k*b(g) + 6*r(g)? 2*g**3 Let l(u) be the third derivative of u**6/60 + u**5/60 - u**2. Let r(p) = -3*p - 16. Let n be r(-4). Let g(c) = -2*c**3 - c**2. Determine n*l(v) - 3*g(v). -2*v**3 - v**2 Let u(h) = h**2 - 7. Suppose -2 = 3*w - 2*w. Let t(c) = 2. What is w*u(m) - 7*t(m)? -2*m**2 Suppose 11 = 3*o - 10. Let c(f) = -4*f**2 - 4 - f + 0*f + 6. Suppose 0 = -2*a, 5*v + 4*a = 5*a + 10. Let y(g) = 13*g**2 + 4*g - 7. Give o*c(z) + v*y(z). -2*z**2 + z Let a(o) = -12*o**3 + 9*o**2 - 9*o - 9. Let h(p) = p**3 - p**2 + p + 1. What is a(v) + 9*h(v)? -3*v**3 Let k(y) = -9*y + 6. Let m(w) = 3*w - 2. Suppose t + 3*d + 10 = 0, 2*t + 6 - 14 = d. Give t*k(r) + 7*m(r). 3*r - 2 Let u(a) = -a. Suppose 0*y - 2*y - 2 = -3*r, 2*y = -5*r - 18. Let f(n) = -15*n - 7. Let h(g) = 8*g + 4. Let l(o) = 3*f(o) + 5*h(o). Give r*l(t) + 11*u(t). -t + 2 Let r(k) = -k**3 - k**2 - k + 1. Let g(p) = -3*p**3 - 7*p**2 - 5*p + 6. Calculate g(j) - 5*r(j). 2*j**3 - 2*j**2 + 1 Let n = 29 + -14. Let j be (-1)/(-3 + 48/n). Let f(d) = -d - 6. Let t(p) = -p - 7. Give j*t(s) + 6*f(s). -s - 1 Let a(h) = -2*h**2 - 5*h + h**2 - 1 + 6. Let i(z) = 4*z**2 + 6*z - 4 - 3*z**2 - 2. Give 6*a(v) + 5*i(v). -v**2 Let z(q) = -q + 5. Let c(i) = 8*i - 44. Let s(r) = 6*c(r) + 52*z(r). Let o(v) = 1. Let g(m) = -5*m. Let n(w) = -g(w) + 5*o(w). Calculate 2*n(l) + 3*s(l). -2*l - 2 Let r be 50/3*(-108)/(-45). Suppose 0 = z - 3*z - 4, -2*z = 2*c - r. Let g(b) = 4*b**2 + 4*b + 15. Let a(l) = -l**2 - l - 4. What is c*a(n) + 6*g(n)? 2*n**2 + 2*n + 2 Let y(m) = -5*m**2 - 5. Let b(d) = -14*d**2 - d - 14. Calculate 3*b(q) - 8*y(q). -2*q**2 - 3*q - 2 Let v be (-49)/(-2)*(-4)/(-7). Let x = 2 + -6. Let k(f) = 3*f**3 + 2*f**2 - 2*f - 2. Let y(q) = 10*q**3 + 7*q**2 - 7*q - 7. Calculate v*k(j) + x*y(j). 2*j**3 Let b(x) = -7*x + 7. Let r(c) be the second derivative of c**3 - 3*c**2 - 2*c. Suppose 4*w - 3 = -4*u + 9, 4*u - 21 = -w. What is u*r(l) + 5*b(l)? l - 1 Let f(t) = 2*t**2 - 5*t + 5. Let i(r) = r**2 - 3*r + 3. Let l(n) = 2*n**2 - 4*n - 1. Let v be l(3). Determine v*i(d) - 3*f(d). -d**2 Let n(q) = -3*q + 2. Let k(m) = 2*m - 1. Let v = 11 + -4. Let j = 11 - v. Calculate j*n(l) + 7*k(l). 2*l + 1 Let h(a) = -3*a + 2. Let c(y) = 3*y**2 + 5*y + 3. Let t be c(-2). Let s(m) = 3*m - 2. Calculate t*h(u) + 4*s(u). -3*u + 2 Let z(y) = -20*y**3 - 3. Let c(r) = 41*r**3 + 7. Determine -2*c(v) - 5*z(v). 18*v**3 + 1 Suppose 2 - 5 = -y. Let u be 70/(-21)*24/10. Let n(m) = -m**3 - 2*m**2 - 3*m + 3. Let c(h) = -2*h**3 - 5*h**2 - 8*h + 8. Determine u*n(l) + y*c(l). 2*l**3 + l**2 Let p(g) = -g + 1. Let n(s) = -64*s**2 - 3*s + 3. What is -n(r) + 3*p(r)? 64*r**2 Let s(q) = 11*q - 3. Let k(f) = -f**2. Let t(l) = -5*k(l) + s(l). Let a(z) = 2*z**2 + 5*z - 1. Calculate -7*a(g) + 3*t(g). g**2 - 2*g - 2 Let n(o) = o**3 - o - 1. Let v(g) = 21*g**3 - 28*g - 28. Determine 28*n(f) - v(f). 7*f**3 Let o(p) = -9*p - 8. Let s(z) = 3*z + 3. Give -3*o(w) - 8*s(w). 3*w Let a = -7 - -8. Let j(s) = -s**2 - s. Let i(x) = -6*x**2 - 3*x. What is a*i(m) - 3*j(m)? -3*m**2 Let x(o) = -o**2 - o + 1. Let t(w) be the second derivative of w**4/12 + w**3/2 - 3*w**2/2 + 6*w. Give -t(f) - 3*x(f). 2*f**2 Let a(w) = 5*w - 9. Let q(j) = 2*j - 5. Calculate 6*a(l) - 11*q(l). 8*l + 1 Let s(k) = -k**3 - 2*k**2 - 2*k + 2. Let l(f) = -1 - 2*f**3 - 2*f - 2 - 2*f - 5*f**2 + 8. Let q = 2 + -7. Give q*s(t) + 2*l(t). t**3 + 2*t Let l(x) = -3*x + 3. Let f(z) = 9*z**2 + 2*z - 9. Let q(g) = -4*g**2 - g + 4. Let o(p) = 3*f(p) + 7*q(p). Suppose 3*b = 1 + 2. Calculate b*l(u) - 3*o(u). 3*u**2 Let q be (2 - -1)*(-10)/6. Suppose 4 = -2*y + 8. Let x(f) = -y*f + 3*f + 0*f - 6. Let p(v) = v - 5. Give q*p(i) + 4*x(i). -i + 1 Let m(f) = -f - 1. Let d(r) = -6*r**2 - 6*r - 7. Let k(j) = 7*j**2 + 7*j + 8. Let s(n) = -5*d(n) - 4*k(n). Let h be 4/5*5/2. Give h*m(o) + s(o). 2*o**2 + 1 Let q(g) = 4*g. Let i(z) = 16*z - 11. Let j(c) = 3*c - 2. Let r(m) = 4*i(m) - 22*j(m). What is 4*q(u) + 7*r(u)? 2*u Let o(m) be the first derivative of m - 18. Let i(x) = -3*x + 15. Determine -i(h) + 15*o(h). 3*h Let b(d) = 21*d**2 + 13*d - 13. Let y(h) = -3 + 0 - h + 5*h**2 + 4*h. What is 6*b(w) - 26*y(w)? -4*w**2 Let n(f) = -16*f. Let g(v) = 17*v - 1. What is -3*g(d) - 4*n(d)? 13*d + 3 Let o(y) = 5*y**2 - 6*y - 12. Let a(j) be the second derivative of 3*j**4/4 - 11*j**3/6 - 23*j**2/2 + 43*j. Give 6*a(g) - 11*o(g). -g**2 - 6 Let v = -14 + 24. Let y(m) = 3*m - 5. Let c(d) = -d + 2. Give v*c(k) + 4*y(k). 2*k Let s(z) = 2*z**2 - 6*z + 2. Let k(u) = u**2 - 4*u + 1. Determine -8*k(d) + 5*s(d). 2*d**2 + 2*d + 2 Let t(z) = -9*z + 5*z**3 + 3 - 2*z + 7*z. Let b = -12 + 7. Let m = b + 9. Let q(h) = -4*h**3 + 3*h - 2. Give m*q(f) + 3*t(f). -f**3 + 1 Let m(s) = -497*s**3 - 63*s**2 + 63*s - 63. Let g(b) = -16*b**3 - 2*b**2 + 2*b - 2. What is 63*g(a) - 2*m(a)? -14*a**3 Let g = -6 + 6. Let d(j) be the third derivative of g*j - 1/24*j**4 - 2*j**2 + 0*j**3 + 0. Let b(i) = -3*i. Give -b(q) + 4*d(q). -q Let a(f) = 9*f - 4. Let y(p) = 4*p + 27. Let z be y(-8). Let h(c) = 4*c - 2. Give z*h(w) + 2*a(w). -2*w + 2 Let t(c) = 8*c**2 + 6*c - 5. Let j = 9 - 11. Let w = 1 - j. Let x(y) = 6 - 5*y + w*y - 4 - 3*y**2. Give -4*t(u) - 11*x(u). u**2 - 2*u - 2 Let q(g) = -g. Let t(i) = 4*i + 6. Determine -3*q(u) - t(u). -u - 6 Let r(b) = 8*b**3 - b**2 - 3*b - 1. Let g(o) = -7*o**3 + o**2 + 2*o + 1. What is 3*g(z) + 2*r(z)? -5*z**3 + z**2 + 1 Let r(p) = -p**2 + 10*p + 15. Let z be r(11). Let h(t) = 4*t - 7. Let m(s) = -2*s + 4. What is z*h(a) + 7*m(a)? 2*a Let o(w) = w**2. Let u(n) = n**3 - 4*n**2 + 4*n - 2. Let t be u(3). Let x be (-4 + 3)/((-1)/6). Let j(b) = -4*b**2 - 2*b - 1. What is t*j(m) + x*o(m)? 2*m**2 - 2*m - 1 Let q(v) = -v. Let j(h) = -h**2 - 3*h - 1. Suppose -2*c + 0*c = 0, 0 = -3*m + 2*c - 3. What is m*j(y) + 3*q(y)? y**2 + 1 Let h(k) be the first derivative of -9*k**2/2 - 3*k + 9. Let z(j) = 5*j + 2. Determine -3*h(c) - 5*z(c). 2*c - 1 Let u be (1/3)/(2/(-12)). Let c(r) = -r**3 - 2*r - 2. Let h(b) = -5*b**3 - 9*b - 9. Suppose -28 = -5*l + 17. What is l*c(o) + u*h(o)? o**3 Suppose 12*i - 8*i = 4. Let w(x) = -3*x**3 + 6*x**2 - 2. Let v(g) = -g**2. Give i*w(o) + 6*v(o). -3*o**3 - 2 Let v(h) = -5*h - 6. Let l(d) = 5*d + 10. Let n(b) = -5*b - 9. Let s(o) = 2*l(o) + 3*n(o). Determine -6*s(c) + 7*v(c). -5*c Let i(g) = -3*g**2 - 4*g + 6*g - g + 5 - 3*g. Let r(q) = q**2 - 1. Calculate i(s) + 4*r(s). s**2 - 2*s + 1 Let p(g) = -5*g**2 - 5*g - 1. Let c(z) = z**2 - 7*z + z + 7*z. Let l = -8 + 5. What is l*c(k) - p(k)? 2*k**2 + 2*k + 1 Let i(g) = 3*g - 7. Let a(h) = -3*h + 18. Let l(r) = r + 1. Let n(p) = a(p) - 3*l(p). Give -13*i(f) - 6*n(f). -3*f + 1 Let d(m) = 5*m**2 + 10*m - 1. Suppose 4*v - 2*v = -8. Let z = v - -8. Suppose 5*l + 3 = -b, z*b - 2*l = -1 + 11. Let f(r) = r**2 + 2*r. Give b*d(x) - 11*f(x). -x**2 - 2*x - 2 Let s(v) = -19*v**3 + 5. Let y(l) = -322*l**3 + 84. Give 84*s(z) - 5*y(z). 14*z**3 Let t(z) = z + 1. Let f(y) = 6*y - 9*y**2 + 5 + 21*y**2 - 11*y**2. Let v(c) = -4*c**2 - 4*c - 3. Let n be v(-2). Give n*t(s
{ "pile_set_name": "DM Mathematics" }
Solve -2*b**3/11 - 1028910*b**2/11 - 16462176*b/11 - 65848192/11 = 0. -514439, -8 Let -z**4/8 - 1189*z**3/8 + 4392*z**2 - 56691*z/2 - 32886 = 0. What is z? -1218, -1, 12, 18 Factor 3*h**2 - 1975047*h - 5925168. 3*(h - 658352)*(h + 3) Solve -2*v**4 + 97606*v**3 - 1268642*v**2 + 4976706*v - 6147540 = 0. 3, 7, 48790 Let -5*k**5 + 190*k**4 + 281565*k**3 - 31000630*k**2 + 204855680*k - 174136800 = 0. Calculate k. -265, 1, 6, 148 Find u such that -u**2/3 + 3224*u/3 + 12944 = 0. -12, 3236 Find d, given that d**3/4 - 18917*d**2 - 643467*d = 0. -34, 0, 75702 Let -n**4/4 - 333971*n**3/2 = 0. Calculate n. -667942, 0 Factor h**4 - 25239*h**3 + 159213887*h**2 + 478575699*h - 4460109948. (h - 12621)**2*(h - 4)*(h + 7) Factor -5*k**3 - 4850*k**2 - 84960*k + 685440. -5*(k - 6)*(k + 24)*(k + 952) Find f such that 2*f**2/11 - 17739616*f/11 + 53218830/11 = 0. 3, 8869805 Let -51*f**5/2 - 36714*f**4 + 6459957*f**3/2 - 3942555*f**2 + 749316*f = 0. Calculate f. -1523, 0, 4/17, 1, 82 Factor 3*j**2 + 18105*j - 66478698. 3*(j - 2574)*(j + 8609) Let -126*b**2 - 263362*b - 45980 = 0. Calculate b. -2090, -11/63 Suppose b**4/3 + 40101*b**3 - 360916*b**2/3 + 80204*b = 0. What is b? -120306, 0, 1, 2 Factor 2671805*d**2 - 33699100*d + 106260500. 5*(731*d - 4610)**2 Factor 4*w**2 - 13938056*w + 12141837816196. 4*(w - 1742257)**2 Let 1037*s**4/3 - 64295*s**3/3 + 81598*s**2 - 240820*s/3 + 232/3 = 0. What is s? 1/1037, 2, 58 Solve -t**2/6 - 5098*t/3 + 68240 = 0. -10236, 40 Factor -4*p**2 - 11129067*p - 41733945. -(p + 2782263)*(4*p + 15) Solve 3*h**4/5 + 198*h**3 - 9579*h**2 + 16758*h + 367032/5 = 0 for h. -373, -2, 4, 41 Determine h so that h**5/3 - 8113*h**4/3 + 16194*h**3 + 486284*h**2/3 + 1102456*h/3 + 259424 = 0. -2, 12, 8107 Factor -7*l**2/3 - 180223*l/2 + 251043. -(l + 38622)*(14*l - 39)/6 Factor 3*a**3 + 24426*a**2 + 45879840*a - 15920709600. 3*(a - 298)*(a + 4220)**2 Find k, given that k**3/7 - 2126*k**2 + 19125*k - 267714/7 = 0. 3, 6, 14873 Factor -3*b**2 + 31560*b + 537387. -3*(b - 10537)*(b + 17) Let 3*r**2/4 + 146865*r/4 - 249928875/2 = 0. What is r? -52150, 3195 Factor 187*d**3/4 - 99857*d**2/2 - 534*d. d*(d - 1068)*(187*d + 2)/4 Let j**5/5 - 98*j**4/5 - 58*j**3/5 + 5492*j**2/5 + 18681*j/5 + 2646 = 0. What is j? -5, -3, -1, 9, 98 Determine v so that 2*v**5/3 + 161282*v**4/3 + 1290170*v**3/3 + 1128874*v**2 + 967596*v = 0. -80633, -3, -2, 0 Let -i**5/2 - 112265*i**4/2 - 3150689155*i**3/2 + 9452741065*i**2/2 - 4726482800*i + 1575512978 = 0. Calculate i. -56134, 1 Factor -5*p**2/2 - 386440*p - 3864150. -5*(p + 10)*(p + 154566)/2 Factor 2*o**4/17 - 23104*o**3/17 + 63545386*o**2/17 + 18575461492*o/17. 2*o*(o - 5909)**2*(o + 266)/17 Factor -2*c**2/5 - 340*c + 12390. -2*(c - 35)*(c + 885)/5 What is d in -d**3 - 95110038*d**2 - 2261479927200396*d - 4522959473960648 = 0? -47555018, -2 Suppose -z**3/2 + 4177*z**2/4 - 1610627*z/4 - 403179/2 = 0. Calculate z. -1/2, 511, 1578 Suppose 5*i**5 + 3390*i**4 + 195120*i**3 - 835040*i**2 = 0. Calculate i. -614, -68, 0, 4 Find p, given that -5*p**2/2 + 25787285*p/2 + 25787295 = 0. -2, 5157459 Factor -44*z**2 - 1545532*z + 421512. -4*(z + 35126)*(11*z - 3) Find l such that -3*l**4 + 436050*l**3 - 1308111*l**2 - 1744164*l = 0. -1, 0, 4, 145347 Find s such that -s**5 - 24549*s**4 + 147319*s**3 - 270099*s**2 + 147330*s = 0. -24555, 0, 1, 2, 3 Find r such that -5*r**5 + 294985*r**4 - 2359405*r**3 - 9143185*r**2 - 6488790*r = 0. -2, -1, 0, 11, 58989 What is q in 4*q**2 - 299704*q + 2097732 = 0? 7, 74919 Factor 2875*s**4/2 - 89124*s**3 - 62*s**2. s**2*(s - 62)*(2875*s + 2)/2 What is c in 4*c**5 - 1924*c**4 + 213512*c**3 + 683224*c**2 - 2822796*c - 3290580 = 0? -5, -1, 3, 181, 303 Factor -4*d**2 + 135220*d + 270456. -4*(d - 33807)*(d + 2) Suppose 18*t**5/7 - 34802*t**4/7 - 54178*t**3/7 - 554*t**2 + 15480*t/7 = 0. Calculate t. -1, 0, 4/9, 1935 Suppose v**3/11 - 1011198*v**2/11 - 1011201*v/11 + 2022398/11 = 0. What is v? -2, 1, 1011199 Find w, given that w**4 + 43983*w**3 - 483902*w**2 + 1407780*w - 1231832 = 0. -43994, 2, 7 What is c in -5*c**5 + 50*c**4 + 21955*c**3 + 469760*c**2 + 1127440*c - 1619200 = 0? -44, -23, -4, 1, 80 Solve -21316*i**4/7 + 2676472*i**3/7 + 1026072668*i**2/7 - 9956035872*i - 2064672856512 = 0. -133, 14292/73 Suppose -3*f**3/4 + 316323*f**2/2 - 33055363899*f/4 - 7874134829262 = 0. Calculate f. -936, 105909 Suppose -3*s**5 - 4866*s**4 - 1997265*s**3 - 19484214*s**2 + 1997268*s + 19489080 = 0. What is s? -806, -10, -1, 1 Find a such that 14*a**2/5 + 437112*a + 936666/5 = 0. -156111, -3/7 Solve -y**2/2 + 2206932*y - 4413862 = 0. 2, 4413862 Solve 3*b**4 + 2565*b**3 - 16863696*b**2 - 67485468*b - 67495680 = 0 for b. -2835, -2, 1984 Factor w**2/3 - 52059562*w/3 + 677549498907961/3. (w - 26029781)**2/3 Determine f so that f**2 - 3042*f - 1017184 = 0. -304, 3346 Factor o**2/8 + 1095*o - 627001/8. (o - 71)*(o + 8831)/8 Solve -3*h**4 - 984*h**3 + 34983*h**2 - 272256*h + 238260 = 0. -361, 1, 10, 22 Factor -5*p**3 - 860*p**2 + 40295*p - 179350. -5*(p - 34)*(p - 5)*(p + 211) Let -25*n**5/2 + 165*n**4/4 - 23*n**3/2 + 3*n**2/4 = 0. What is n? 0, 1/10, 1/5, 3 What is f in -121*f**4 - 263306846*f**3 - 694171625*f**2 + 278539124*f - 26113044 = 0? -2176087, -3, 2/11 What is y in -3*y**5 + 14148*y**4 - 2989623*y**3 - 15188778*y**2 - 24426660*y - 12241656 = 0? -2, -1, 227, 4494 What is i in 2*i**2/3 - 7343548*i/3 + 6740962153538/3 = 0? 1835887 Suppose 2*m**5 + 3830*m**4 - 65778*m**3 - 173606*m**2 + 529216*m - 293664 = 0. Calculate m. -1932, -4, 1, 19 What is f in 896*f**4 + 14356*f**3/5 - 2720*f**2 + 2627*f/5 + 12/5 = 0? -4, -1/224, 3/10, 1/2 Factor -3*r**2/5 - 33177474*r/5 - 91728731751723/5. -3*(r + 5529579)**2/5 Factor -k**2 + 8186*k + 229992. -(k - 8214)*(k + 28) Find k, given that 10*k**5 + 3736*k**4 - 444206*k**3/5 - 271748*k**2/5 - 36432*k/5 = 0. -396, -2/5, -1/5, 0, 23 Let -6*t**4/7 + 177088*t**3/7 - 1322696842*t**2/7 + 33675658552*t + 78723509496/7 = 0. Calculate t. -1/3, 183, 14666 Find d, given that 4*d**3 + 359132*d**2 - 36*d - 3232188 = 0. -89783, -3, 3 Factor 2*u**2 + 45955884*u + 263992909277682. 2*(u + 11488971)**2 Let q**3 + 1155717*q**2 + 333922179591*q + 1001756137347 = 0. Calculate q. -577857, -3 What is m in 2*m**5/13 + 122*m**4/13 - 528*m**3 + 37528*m**2/13 - 48608*m/13 = 0? -98, 0, 2, 4, 31 Factor 2*h**2 + 281548*h - 16054734. 2*(h - 57)*(h + 140831) Solve -4*t**3 + 5752*t**2 + 504336*t + 10739232 = 0. -42, 1522 Factor 2*n**2/7 + 3916*n - 1845582/7. 2*(n - 67)*(n + 13773)/7 Let 2*i**3/11 + 22846*i**2/11 - 137372*i/11 - 232736 = 0. What is i? -11429, -8, 14 Factor -5*n**4 + 1967745*n**3 - 3935470*n**2. -5*n**2*(n - 393547)*(n - 2) Find g, given that 3*g**5 + 1401*g**4 - 25236*g**3 - 268368*g**2 - 580800*g = 0. -484, -4, 0, 25 Factor 5*j**3 + 14060*j**2 + 13069680*j + 4021508160. 5*(j + 852)**2*(j + 1108) Let 4*d**5 + 216*d**4 + 2532*d**3 - 27968*d**2 - 485184*d = 0. What is d? -28, -19, 0, 12 Find f, given that -104456947204*f**2 - 801531040*f - 1537600 = 0. -620/161599 Factor 3*j**3/5 + 82038*j**2/5 + 15018816*j/5 + 689697504/5. 3*(j + 92)**2*(j + 27162)/5 Suppose 2*f**5 + 658*f**4 + 49868*f**3 + 1050156*f**2 - 2462670*f - 3463614 = 0. What is f? -231, -51, -49, -1, 3 Let -q**4/3 - 22103*q**3 - 265188*q**2 = 0. What is q? -66297, -12, 0 Solve 44*l**5/5 + 42048*l**4/5 + 606352*l**3/5 + 326824*l**2/5 - 606396*l/5 - 368872/5 = 0 for l. -941, -14, -1, -7/11, 1 Factor 5*z**3 - 315326*z**2 - 1513685*z + 315350. (z - 63070)*(z + 5)*(5*z - 1) Suppose -5488*x**3 + 5428*x**2 + 60*x = 0. Calculate x. -15/1372, 0, 1 What is b in -3*b**5 - 37152*b**4 - 148527*b**3 + 408522*b**2 - 222840*b = 0? -12380, -6, 0, 1 Determine k so that 4*k**2/5 - 364428*k/5 - 947648 = 0. -13, 91120 Solve -4*w**3 + 178700*w**2 - 3929692*w + 10180884 = 0 for w. 3, 19, 44653 Suppose 7*k**2/5 + 2110208*k/5 + 602916/5 = 0. What is k? -301458, -2/7 Factor 3*t**4 - 82827*t**3 - 5230008*t**2. 3*t**2*(t - 27672)*(t + 63) What is a in a**4/3 + 48691*a**3 + 13286386*a**2/3 + 98488484*a - 308897912/3 = 0? -145982, -46, 1 Solve -21*c**4/5 + 3303*c**3/5 - 99852*c**2/5 + 141732*c - 38880 = 0. 2/7, 10, 27, 120 Find s such that 2*s**3/13 - 17080*s**2/13 + 31314834*s/13 + 31331916/13 = 0. -1, 2667, 5874 What is l in -5*l**2 + 681165*l - 105460450 = 0? 155, 136078 Suppos
{ "pile_set_name": "DM Mathematics" }
-377*y**3 - 3*y**2 - 802. Let z(h) = 125*h**3 + h**2 + 268. Let g(b) = -6*v(b) - 17*z(b). What is the first derivative of g(x) wrt x? 411*x**2 + 2*x Let w(c) be the third derivative of -1 - 23/24*c**4 + 2/3*c**3 + 0*c - 9*c**2. Differentiate w(q) with respect to q. -23 Let h(y) = 4*y. Let s be h(1). What is the derivative of 753 + 4*c**s + c**3 - 762 - c**3 wrt c? 16*c**3 Let c = -507 + 898. Differentiate 293*i**4 - c*i**4 + 5*i - 4*i - i - 219 with respect to i. -392*i**3 Let z(l) be the second derivative of 0*l**4 + 3/10*l**6 + 0*l**5 + 58*l**2 + 0 - 7/6*l**3 - 187*l. Differentiate z(o) wrt o. 36*o**3 - 7 Let f be (9/6)/((-9)/(-24)). Suppose 5*c + 35 = 5*r, 2*r - 3*c - 11 = 2*c. Differentiate -y + f*y + r*y - 12 wrt y. 11 Suppose -n + 251 = -0*n. Let j(d) = -d**3 + 23*d**2 - 85*d + 2. Let a be j(5). What is the third derivative of -11*t**3 + 251*t - a*t**2 - n*t wrt t? -66 Let y(k) = -860*k**2 + 4443. Let l(m) = 860*m**2 - 4442. Let o(d) = -6*l(d) - 5*y(d). Differentiate o(g) wrt g. -1720*g Let d(g) = -3*g**3 - g**2 + g. Let l(w) = -4409*w**4 + 24*w**3 + 8*w**2 - 1473*w. Let n(b) = -8*d(b) - l(b). What is the second derivative of n(x) wrt x? 52908*x**2 Let b(g) = -32 + 6 + 14*g**2 + 14 - 9*g + 14 + 4. Let r(t) = t**2 + 0*t + 1 - 3*t + 2*t. Let u(d) = -2*b(d) + 18*r(d). Differentiate u(f) with respect to f. -20*f Let w(s) = -10*s + 42. Let z(b) = -b + 1. Let f(u) = -w(u) + 12*z(u). Let q be f(-16). Differentiate -74 + 10*t**q - 63 + 119 wrt t. 20*t Find the second derivative of -2101*f**3 - 3084*f + 1310*f**4 + 1035*f**3 + 1066*f**3 wrt f. 15720*f**2 Suppose -11*j + 10*j - 2*n = 6, -6 = 3*j + 2*n. Find the second derivative of -2*q + j*q + 8*q**2 - 24*q + 7*q + 6*q wrt q. 16 Let c(b) = b**3 - 2*b**2 - 5. Let v be c(0). Let n(t) = 196*t - 59. Let k(x) = 131*x - 40. Let w(g) = v*n(g) + 8*k(g). What is the derivative of w(q) wrt q? 68 Let q(h) be the second derivative of h**7/21 + h**6/3 + 139*h**5/20 + h**4/12 - 5*h**3 + h**2 + 1057*h + 4. Find the third derivative of q(a) wrt a. 120*a**2 + 240*a + 834 Let k(x) be the third derivative of -8/105*x**7 + 0*x**3 + 0 + 1/10*x**5 - 68*x**2 + 0*x + 0*x**4 - 1/60*x**6. What is the third derivative of k(h) wrt h? -384*h - 12 Differentiate -1816*j**4 - 2787 + 13388*j**4 - 2818*j**4 - 2666 wrt j. 35016*j**3 Let a(b) = -b**5 - b**4 - 2*b**2 - b. Let s(v) = 2052*v**5 - 5*v**4 - 10*v**2 - 2382*v. Let f(h) = 5*a(h) - s(h). Find the second derivative of f(n) wrt n. -41140*n**3 Let a(c) = 2613*c**5 - 8*c**3 + 2*c**2 - 3385*c - 8. Let s(o) = o**5 + 4*o**3 + 4. Let r(q) = -a(q) - 2*s(q). What is the second derivative of r(k) wrt k? -52300*k**3 - 4 Let m be 2/(6/45*3). Suppose 5*d - m*y = 125, 26 = 3*d - 2*d - 2*y. What is the second derivative of d*r + 0*r**3 + 2*r**4 - 6*r**4 + 0*r**3 wrt r? -48*r**2 Let p(q) be the first derivative of -394*q**6/3 + 3705*q**3 + 11634. What is the third derivative of p(b) wrt b? -47280*b**2 Let x = 496 - 470. Differentiate 147*w**4 + x + 59 - 123*w**4 + 77*w**4 - 15 wrt w. 404*w**3 Let y(l) be the second derivative of l**5/20 + l**4/12 - 3*l**3/2 + 1817*l**2 + 5934*l. Differentiate y(x) with respect to x. 3*x**2 + 2*x - 9 Let t be (45/10)/(1/2). What is the second derivative of -n**2 + 49*n - t*n**2 - 102*n**2 + 10*n wrt n? -224 Find the third derivative of -1044*m**4 + 6727*m**2 + 150*m + 2*m**6 - 6728*m**2 + 1592*m + 362*m**4 wrt m. 240*m**3 - 16368*m Find the first derivative of -96*x - 24 + 78 + 317*x - 685 wrt x. 221 Suppose 27*i - 28*i = -6. What is the third derivative of 6*l**3 + 198*l**2 - 10*l**6 - 128*l**2 - i*l**3 wrt l? -1200*l**3 Let a = -674 + 768. What is the second derivative of 75*k + 114*k - 9*k**2 + a*k**2 + 22*k wrt k? 170 What is the third derivative of 1278 - 2609 - 14*b**3 + 23*b**2 - 9*b**2 - 76*b**4 + 22*b**4 + 1270 wrt b? -1296*b - 84 Let r be (-357)/(-14)*(-8)/(-6). Find the third derivative of -g**3 + r*g**2 + 3*g**2 + g**4 + 46*g**2 - 7*g**2 wrt g. 24*g - 6 Let q(o) = -o**2 - 6*o - 1. Let k be q(5). Let u = 58 + k. Find the third derivative of 11*x**4 - 597 + 6*x**u + 597 wrt x. 264*x Let b(u) be the third derivative of 337*u**5/6 - 5*u**4/24 + 63*u**3/2 + u**2 + 93*u. What is the second derivative of b(f) wrt f? 6740 Let o(w) = 5*w**2 - 48*w + 36. Let m be o(9). What is the first derivative of 194 + 47 - 4*c**4 + m*c + 2*c**4 - 8*c wrt c? -8*c**3 + 1 Let y(r) be the third derivative of 25*r**4/24 + 43*r**3/6 + 3*r**2 - 6. Let a(i) = -2*i + 1. Let s(x) = -5*a(x) + y(x). What is the derivative of s(v) wrt v? 35 Suppose 0 = 3*g + 5*o - o - 266, 0 = -o - 4. Let p = 138 - g. What is the derivative of n**2 + p + 66*n**4 - 40*n**4 - n**2 wrt n? 104*n**3 Let d(r) = -2629*r**6 + 5*r**3 - 2*r**2 + 21. Let a(y) = y**3 + y**2 - 5. Let z(v) = 5*a(v) - d(v). Find the third derivative of z(x) wrt x. 315480*x**3 Suppose 4*t - 23 = -5*o + 6, -3*o = 2*t - 19. Find the second derivative of -5 + o*f + 4 - 1 + 5 - 167*f**2 wrt f. -334 Differentiate 5765*z**2 + 39*z - 39*z + 7472*z**3 - 5765*z**2 + 5075 wrt z. 22416*z**2 Let f(l) be the first derivative of -67*l**6/10 + 43*l**3/3 + 212*l + 146. Let r(q) be the first derivative of f(q). Find the second derivative of r(b) wrt b. -2412*b**2 Let h(p) = 100*p**4 + 9*p**3 + 7. Let n(d) = -3*d**3 - d**3 - 22*d**4 - 18*d**4 - 4 - 10*d**4. Let l(z) = 4*h(z) + 9*n(z). Differentiate l(a) with respect to a. -200*a**3 What is the third derivative of -171*y**3 + 5711027*y + 1250*y**3 - 3*y**2 - 5711036*y wrt y? 6474 Suppose -19*s + 16*s + 21 = -2*o, -15 = 5*o. Find the third derivative of -3*c**s - 31*c**2 + 16*c**2 + 27*c + 14*c**2 wrt c. -180*c**2 Let q(p) = 6331*p**4 - 10*p**3 + 15*p - 143. Let w(o) = -3166*o**4 + 4*o**3 - 7*o + 71. Let c(u) = 2*q(u) + 5*w(u). What is the second derivative of c(l) wrt l? -38016*l**2 Differentiate 336*h**4 + 2*h - 9*h - 71 - 345*h**4 wrt h. -36*h**3 - 7 What is the second derivative of 3*b + b**4 + 686*b**3 - 48 - 693*b**3 + 0*b - 12*b**4 wrt b? -132*b**2 - 42*b Let f(h) = 3*h**3 - 5*h**2 - 459*h + 1429. Let q(z) = 2*z**3 - 4*z**2 - 464*z + 1429. Let x(j) = 4*f(j) - 5*q(j). Differentiate x(p) wrt p. 6*p**2 + 484 Let c be (6/18)/(3 + 106/(-36)). Let z(w) = -w**3 + 3*w - 1. Let l(r) = -11*r**3 + 18*r + 76. Let u(p) = c*z(p) - l(p). What is the derivative of u(s) wrt s? 15*s**2 Let w(b) be the second derivative of -5*b**7/42 + 23*b**5/5 + 7*b**3/2 + 5*b**2/2 + 7*b + 83. What is the second derivative of w(u) wrt u? -100*u**3 + 552*u Let l(h) = 3*h + 13. Let x be l(-3). Suppose -8 = -4*s + x. What is the second derivative of -d**5 + 13*d - s*d - 5*d wrt d? -20*d**3 Let v(h) = h**2 + 80*h - 2364. Let j be v(-103). Let d(k) be the second derivative of 0 + j*k + 4*k**2 + 7/3*k**3. What is the derivative of d(t) wrt t? 14 Let z = 14 - 9. Suppose -z*x + 576 = -364. What is the third derivative of -3*i**2 - 4*i**4 - 188 + x wrt i? -96*i Suppose -2*d - 16 = -5*i, 5*i - 7 + 0 = -d. Find the third derivative of -54*p**3 - 79*p**i + 8*p**3 + 49*p**2 wrt p. -276 Let u be 57/(-5) + (-4)/(-10). Let l be 524/22 + (-2)/u + 0. What is the first derivative of 7*z**4 + 9*z**4 - l + z**4 wrt z? 68*z**3 Find the third derivative of x**2 - 353 - 2*x**4 + 186 + 55*x**6 + 188 wrt x. 6600*x**3 - 48*x Suppose -x = -3*x + 10. Let k = 0 + x. Let d(o) = -15*o**2 + 17. Let a(n) = 15*n**2 - 17. Let c(s) = k*a(s) + 4*d(s). What is the derivative of c(r) wrt r? 30*r Suppose 0 = -8*m - 193 + 817. What is the derivative of 51 - 45 - m*j**2 - 21*j**2 wrt j? -198*j Differentiate 69*v - 2*v**3 + v**3 + 351*v + 4428 + 0*v**3 + 724*v wrt v. -3*v**2 + 1144 Find the third derivative of -12*h - 2*h**5 - 21*h - 55*h - 6*h**6 + 14*h - 25*h - 5*h**2 wrt h. -720*h**3 - 120*h**2 Let j(x) be the second derivative of -45*x**5/4 - x**4/12 + 322*x**3/3 - 205*x + 3. Find the second derivative of j(q) wrt q. -1350*q - 2 Find the first derivative of -26*j + 58*j - 31*j - 40*j**2 - 46*j**2 - 4085 wrt j. -172*j + 1 Let b(a) be the third derivative of 77*a**5/12 - 733*a**4/24 - 134*a**2 + 4. Find the second derivative of b(w) wrt w. 770 Let b = 1 - 1. Suppose b = -d + 6*d - 25. Find the third derivative of -5*v**d - 3*v**5 - 10*v**5 + 22*v**2 wrt v. -1080*v**2 Let l(j) = 4913*j**2 - 283*j. Let v(q) = 4914*q**2 - 274*q. Let z(a) = -4*l(a) + 5*v(a). What i
{ "pile_set_name": "DM Mathematics" }
rs of 4261. 4261 What are the prime factors of 39280? 2, 5, 491 List the prime factors of 47582. 2, 37, 643 What are the prime factors of 100793? 7, 11, 17 List the prime factors of 878. 2, 439 What are the prime factors of 1084? 2, 271 List the prime factors of 28832. 2, 17, 53 What are the prime factors of 13097? 7, 1871 What are the prime factors of 948? 2, 3, 79 List the prime factors of 9146. 2, 17, 269 List the prime factors of 25. 5 List the prime factors of 1174. 2, 587 What are the prime factors of 30218? 2, 29, 521 List the prime factors of 1923. 3, 641 List the prime factors of 53022. 2, 3, 8837 List the prime factors of 28070. 2, 5, 7, 401 What are the prime factors of 55? 5, 11 List the prime factors of 19662. 2, 3, 29, 113 What are the prime factors of 7674? 2, 3, 1279 What are the prime factors of 1275? 3, 5, 17 What are the prime factors of 13734? 2, 3, 7, 109 What are the prime factors of 2133? 3, 79 List the prime factors of 12902. 2, 6451 What are the prime factors of 22962? 2, 3, 43, 89 List the prime factors of 100020. 2, 3, 5, 1667 What are the prime factors of 61? 61 What are the prime factors of 1349? 19, 71 List the prime factors of 13208. 2, 13, 127 What are the prime factors of 545? 5, 109 List the prime factors of 5488. 2, 7 List the prime factors of 3366. 2, 3, 11, 17 What are the prime factors of 788? 2, 197 List the prime factors of 63642. 2, 3, 10607 What are the prime factors of 2539? 2539 List the prime factors of 8047. 13, 619 What are the prime factors of 839? 839 List the prime factors of 662. 2, 331 What are the prime factors of 11203? 17, 659 List the prime factors of 2885. 5, 577 List the prime factors of 23882. 2, 11941 What are the prime factors of 81493? 227, 359 What are the prime factors of 1920? 2, 3, 5 What are the prime factors of 29245? 5, 5849 What are the prime factors of 4829? 11, 439 List the prime factors of 1470. 2, 3, 5, 7 List the prime factors of 5043. 3, 41 What are the prime factors of 10498? 2, 29, 181 List the prime factors of 1303. 1303 What are the prime factors of 13457? 13457 List the prime factors of 35158. 2, 17579 List the prime factors of 1180. 2, 5, 59 What are the prime factors of 103? 103 List the prime factors of 8661. 3, 2887 List the prime factors of 1333. 31, 43 What are the prime factors of 1901? 1901 List the prime factors of 32490. 2, 3, 5, 19 What are the prime factors of 4632? 2, 3, 193 List the prime factors of 273. 3, 7, 13 List the prime factors of 5110. 2, 5, 7, 73 List the prime factors of 8757. 3, 7, 139 List the prime factors of 54125. 5, 433 What are the prime factors of 1053? 3, 13 List the prime factors of 1211. 7, 173 List the prime factors of 3306. 2, 3, 19, 29 List the prime factors of 916. 2, 229 List the prime factors of 2939. 2939 List the prime factors of 3198. 2, 3, 13, 41 What are the prime factors of 3360? 2, 3, 5, 7 What are the prime factors of 4097? 17, 241 What are the prime factors of 30681? 3, 7, 487 List the prime factors of 8990. 2, 5, 29, 31 What are the prime factors of 3400? 2, 5, 17 What are the prime factors of 118489? 7, 16927 List the prime factors of 8. 2 What are the prime factors of 585? 3, 5, 13 What are the prime factors of 2283? 3, 761 List the prime factors of 235. 5, 47 List the prime factors of 6718. 2, 3359 List the prime factors of 1594. 2, 797 List the prime factors of 157881. 3, 52627 List the prime factors of 1140. 2, 3, 5, 19 What are the prime factors of 1085? 5, 7, 31 List the prime factors of 1070. 2, 5, 107 List the prime factors of 1836. 2, 3, 17 List the prime factors of 43. 43 What are the prime factors of 11374? 2, 11, 47 List the prime factors of 79039. 79039 What are the prime factors of 60487? 7, 8641 List the prime factors of 3427. 23, 149 List the prime factors of 10703. 7, 11, 139 List the prime factors of 41641. 41641 List the prime factors of 28425. 3, 5, 379 List the prime factors of 27890. 2, 5, 2789 List the prime factors of 6069. 3, 7, 17 List the prime factors of 4240. 2, 5, 53 List the prime factors of 249. 3, 83 What are the prime factors of 24919? 24919 What are the prime factors of 28440? 2, 3, 5, 79 What are the prime factors of 8077? 41, 197 List the prime factors of 5138. 2, 7, 367 What are the prime factors of 1449? 3, 7, 23 What are the prime factors of 25848? 2, 3, 359 What are the prime factors of 12848? 2, 11, 73 What are the prime factors of 514? 2, 257 List the prime factors of 13789. 13789 List the prime factors of 18411. 3, 17, 19 List the prime factors of 174311. 174311 List the prime factors of 23939. 37, 647 List the prime factors of 24910. 2, 5, 47, 53 What are the prime factors of 18919? 18919 What are the prime factors of 1764? 2, 3, 7 What are the prime factors of 12495? 3, 5, 7, 17 What are the prime factors of 3221? 3221 List the prime factors of 11479. 13, 883 List the prime factors of 708. 2, 3, 59 List the prime factors of 18557. 7, 11, 241 What are the prime factors of 10029? 3, 3343 List the prime factors of 6665. 5, 31, 43 What are the prime factors of 530? 2, 5, 53 What are the prime factors of 30134? 2, 13, 19, 61 List the prime factors of 1776. 2, 3, 37 List the prime factors of 4247. 31, 137 What are the prime factors of 64468? 2, 71, 227 What are the prime factors of 41929? 23, 1823 List the prime factors of 6315. 3, 5, 421 List the prime factors of 982. 2, 491 What are the prime factors of 1472? 2, 23 What are the prime factors of 63287? 7, 9041 List the prime factors of 15508. 2, 3877 List the prime factors of 1128. 2, 3, 47 List the prime factors of 144839. 144839 What are the prime factors of 6607? 6607 List the prime factors of 4117. 23, 179 What are the prime factors of 955? 5, 191 What are the prime factors of 11078? 2, 29, 191 List the prime factors of 206099. 43, 4793 What are the prime factors of 1078? 2, 7, 11 What are the prime factors of 70186? 2, 19, 1847 List the prime factors of 2050. 2, 5, 41 List the prime factors of 25990. 2, 5, 23, 113 What are the prime factors of 25252? 2, 59, 107 What are the prime factors of 393? 3, 131 List the prime factors of 219. 3, 73 What are the prime factors of 6524? 2, 7, 233 What are the prime factors of 26603? 37, 719 What are the prime factors of 2076? 2, 3, 173 What are the prime factors of 26201? 7, 19, 197 What are the prime factors of 1449? 3, 7, 23 List the prime factors of 11416. 2, 1427 What are the prime factors of 71696? 2, 4481 List the prime factors of 39572. 2, 13, 761 What are the prime factors of 600? 2, 3, 5 What are the prime factors of 12122? 2, 11, 19, 29 What are the prime factors of 58513? 7, 13, 643 What are the prime factors of 5332? 2, 31, 43 What are the prime factors of 6526? 2, 13, 251 What are the prime factors of 457? 457 List the prime factors of 5677. 7, 811 What are the prime factors of 684? 2, 3, 19 What are the prime factors of 18339? 3, 6113 What are the prime factors of 8579? 23, 373 List the prime factors of 226. 2, 113 What are the prime factors of 3116? 2, 19, 41 What are the prime factors of 2739? 3, 11, 83 List the prime factors of 41682. 2, 3, 6947 List the prime factors of 11075. 5, 443 What are the prime factors of 9759? 3, 3253 List the prime factors of 6911. 6911 What are the prime factors of 1838? 2, 919 What are the prime factors of 1157? 13, 89 List the prime factors of 37397. 37397 What are the prime factors of 13357? 19, 37 List the prime factors of 8067. 3, 2689 List the prime factors of 4825. 5, 193 What are the prime factors of 1847? 1847 What are the prime factors of 2496? 2, 3, 13 What are the prime factors of 2215? 5, 443 List the prime factors of 7183. 11, 653 What are the prime factors of 82468? 2, 53, 389 List the prime factors of 679. 7, 97 What are the prime factors of 7533? 3, 31 List the prime factors of 604. 2, 151 What are the prime factors of 25308? 2, 3, 19, 37 List the prime factors of 1482. 2, 3, 13, 19 What are the prime factors of 3260? 2, 5, 163 List the prime factors of 44209. 11, 4019 What are the prime factors of 830? 2, 5, 83 List the prime factors of 45945. 3, 5, 1021 List the prime factors of 3564. 2, 3, 11 List the prime factors of 3447. 3, 383 List the prime factors of 31547. 31547 What are the prime factors of 1845? 3, 5,
{ "pile_set_name": "DM Mathematics" }
b + 1)**2/7 Let m(q) = -q**4 - q - 1. Let j(s) = 8*s**4 - 15*s**3 + 24*s**2 - 7*s + 5. Let p(v) = j(v) + 5*m(v). Factor p(f). 3*f*(f - 2)**2*(f - 1) Let f(r) be the third derivative of -r**6/40 + r**5/20 + r**4/4 - 14*r**2. Suppose f(z) = 0. What is z? -1, 0, 2 Let f(m) be the third derivative of m**5/120 - m**4/16 + m**2. Factor f(h). h*(h - 3)/2 Factor -28*o**3 - 4*o**5 + 9*o**2 + 3*o**2 + 20*o**4 + 0*o**2. -4*o**2*(o - 3)*(o - 1)**2 Let a(c) be the third derivative of 0*c**3 + 0*c - 1/75*c**5 + 0 + 1/300*c**6 - 2*c**2 + 1/60*c**4. Suppose a(z) = 0. Calculate z. 0, 1 Let p(r) be the second derivative of r**5/50 - 2*r**4/15 - 11*r**3/15 - 6*r**2/5 - 37*r. Let p(i) = 0. Calculate i. -1, 6 Let o(k) = 5*k**2 + 4*k + 4. Let y(g) = -2*g + 2. Let z be y(3). Let f(q) = -6*q**2 + 2 + 1 - 8 - 5*q. Let s(m) = z*f(m) - 5*o(m). Let s(h) = 0. Calculate h. 0 Let s(d) be the first derivative of 0*d - 1/12*d**3 - 1/32*d**4 - 1/16*d**2 + 1. Let s(b) = 0. What is b? -1, 0 Let a = -9 + 3. Let j(q) = 2*q**2 - 5*q - 5. Let s(p) = -p**2 + 2*p + 2. Let v(x) = a*j(x) - 13*s(x). Factor v(u). (u + 2)**2 Let l(k) = k**2 + 10*k + 8. Let v be l(-10). Let z = -6 + v. Suppose u**z + 2*u**2 - 4*u**2 = 0. What is u? 0 Let v(i) = -i**3 - 1. Let f(m) = -7*m**3 - 4*m**2 - m - 4. Let d(y) = -f(y) + 4*v(y). Let d(s) = 0. What is s? -1, -1/3, 0 Let h(s) = 0*s**2 + 3*s - s + 2*s**2 - 1 + 0*s. Let l be h(-2). Factor 5*y**l + 0*y**2 - y**3 + 2*y - 3*y**2 - 3*y**3. y*(y - 2)*(y - 1) Let u(q) be the third derivative of -q**8/168 + q**7/105 + q**6/20 - q**5/30 - q**4/6 - 4*q**2. Suppose u(t) = 0. Calculate t. -1, 0, 1, 2 Suppose 5*j - 2 = 18. Suppose -12 = -3*k + x, x = 3*k - 3*x - 3. Factor -4/5*b**j + 4/5*b**3 + 0*b**2 + 0 + 1/5*b**k + 0*b. b**3*(b - 2)**2/5 Factor 0 + 4/3*d**2 - 2/3*d**3 + 8/3*d - 1/3*d**4. -d*(d - 2)*(d + 2)**2/3 Suppose -2*j + 5*j = 4*q + 32, 0 = q - 1. Determine v so that -8*v + 8*v**3 - j*v**2 + 16*v - 2 + 0 - 2*v**4 = 0. 1 Let c(x) be the second derivative of 0 + 0*x**2 + 7*x + 1/18*x**4 - 4/315*x**7 - 1/45*x**6 + 1/45*x**3 + 1/50*x**5. Suppose c(r) = 0. Calculate r. -1, -1/4, 0, 1 Suppose -3*x - 2*p + 6 = 0, -11*p - 4 = -2*x - 8*p. Solve -1/2*l**x + 1 + 1/2*l = 0 for l. -1, 2 Let y(o) be the first derivative of -o**5/5 + o**4/2 + 8*o**3/3 + 3. Factor y(s). -s**2*(s - 4)*(s + 2) Let m(u) be the third derivative of 3*u**2 + 0*u + 0 - 1/72*u**4 - 1/60*u**5 + 1/360*u**6 + 1/6*u**3. Suppose m(z) = 0. Calculate z. -1, 1, 3 Let w(h) be the third derivative of -h**6/1080 + h**5/270 - h**4/216 + 13*h**2. Factor w(y). -y*(y - 1)**2/9 Solve 0*o**2 + 0*o**4 + 0*o + 0*o**3 + 0 + 2/9*o**5 = 0 for o. 0 Let c(h) be the first derivative of h**6/51 + 2*h**5/85 - h**4/34 - 2*h**3/51 - 51. Suppose c(q) = 0. Calculate q. -1, 0, 1 Let i(h) = 2*h - 3. Let t = 8 - 5. Let r be i(t). Find w such that 1 + w**3 + r*w**2 - 3*w + 0*w**3 + 6*w = 0. -1 Let y(x) be the first derivative of 2*x**3/9 - x**2 + 4*x/3 + 1. Determine o so that y(o) = 0. 1, 2 Let f = -118 - -592/5. Let n(s) be the first derivative of f*s**5 + 0*s + 2 + 1/2*s**4 + 2/9*s**3 + 0*s**2 + 1/9*s**6. Factor n(u). 2*u**2*(u + 1)**3/3 Let y = 81/392 - 4/49. Let q(v) be the second derivative of v + 1/8*v**3 + 0 + y*v**2 + 1/80*v**5 + 1/16*v**4. Factor q(o). (o + 1)**3/4 Let m(f) = 0*f**3 - f - f**3 + 0*f**3. Let i(r) = 4*r**2 + 4*r**3 - 22 + 6*r + 8*r + 6. Let k(l) = -i(l) - 6*m(l). Factor k(y). 2*(y - 2)**2*(y + 2) Factor 0 - 4/3*l + 4/3*l**3 - 2/3*l**2 + 2/3*l**4. 2*l*(l - 1)*(l + 1)*(l + 2)/3 Let i = 3 + -1. Suppose g - 2*g = -i. Factor g*n + 4*n**2 + 1/4. (4*n + 1)**2/4 Factor 4*t**4 + 36*t**2 + 58 - 32*t - 2*t**4 - 16*t**3 - 48. 2*(t - 5)*(t - 1)**3 Let m = 10 + -2. Suppose -5*t - 10 = -5*g, -3*t + m*t + 1 = 2*g. Suppose k**3 - 5*k**g - k**2 - 4*k**4 + 0*k**2 = 0. What is k? -1/2, 0 Suppose 5 = 3*f - 1. Let m be (-210)/(-18) + -6 - 5. Factor -m*v - 2*v**3 + 0 - 2*v**f - 2/3*v**4. -2*v*(v + 1)**3/3 Let g(u) be the second derivative of u**6/30 - 3*u**5/20 + u**4/4 - u**3/6 - 5*u. Factor g(i). i*(i - 1)**3 Let v(l) be the first derivative of -2*l**3/15 + 2*l/5 + 8. Factor v(o). -2*(o - 1)*(o + 1)/5 Suppose k + 175 = 6*k. Let x be ((-10)/k)/(27/(-21)). Factor -x*n**2 + 0*n + 2/9. -2*(n - 1)*(n + 1)/9 Let s = -32 + 35. Let k(a) be the first derivative of 1 + 0*a**2 + 0*a - 1/16*a**4 - 1/12*a**s. Factor k(f). -f**2*(f + 1)/4 Let z(m) be the second derivative of -5*m**4/12 + 25*m**3/6 - 14*m. Factor z(n). -5*n*(n - 5) Let x(r) be the third derivative of 4*r**2 + 7/12*r**4 + 1/12*r**6 - 2/3*r**3 - 3/10*r**5 + 0*r + 0 - 1/105*r**7. Factor x(n). -2*(n - 2)*(n - 1)**3 Let k(v) be the third derivative of v**6/30 - v**5/5 + v**4/3 + 2*v**2. Suppose k(d) = 0. What is d? 0, 1, 2 Suppose -281 = -3*m + m - 5*y, 3*y + 575 = 4*m. Let s = m + -1285/9. Find o, given that -s*o + 0 - 2/9*o**2 = 0. -1, 0 Let 12/17*f**2 - 2/17*f**5 + 16/17*f**3 - 14/17*f + 0 - 12/17*f**4 = 0. Calculate f. -7, -1, 0, 1 Let r(i) be the second derivative of -i**7/8 + 23*i**6/40 - 9*i**5/40 - 11*i. Let r(k) = 0. What is k? 0, 2/7, 3 Let x(f) = -f**3 - f**2 + f + 1. Let z be x(-1). Suppose -4*b + 6*b = z. Solve -3*t**4 + b*t**5 - 2*t**3 - t**2 + t**5 + 5*t**3 = 0 for t. 0, 1 Let n be (48/(-420))/(1/(-5)). Let m = 0 - -3. Let 0*z**2 + 2/7 + 4/7*z**m - 2/7*z**4 - n*z = 0. What is z? -1, 1 Let r(t) = 5*t**4 - 7*t**3 + 11*t**2 + 3*t - 6. Let f(i) = 4*i**4 - 6*i**3 + 10*i**2 + 2*i - 5. Let a(h) = 6*f(h) - 5*r(h). Factor a(w). -w*(w - 1)**2*(w + 3) Factor 1/4*k**3 + 0 - 1/2*k**2 + 1/4*k. k*(k - 1)**2/4 Let b be 0*((-2)/(-7) + 33/(-42)). Let d(k) = 2*k**3 - 3*k**2 + k - 2. Let c be d(2). Let -3/5*q**5 + 3/5*q**3 + 0 + b*q**2 + 0*q + 0*q**c = 0. Calculate q. -1, 0, 1 Suppose 0*b + 10 = 5*b. Suppose 2*h**b - 12*h + 8*h - 4*h**2 + 2*h**3 = 0. What is h? -1, 0, 2 Let x(o) = o**3 - o. Let d(u) = u**5 - u**4 - 5*u**3 + 2*u**2 + 4*u - 1. Let g(q) = d(q) + 3*x(q). Solve g(t) = 0. -1, 1 Let l(o) be the second derivative of -o**4/54 - o**3/9 + 11*o. Suppose l(n) = 0. What is n? -3, 0 Let o = 17 - 15. Let x be (o + 96/(-45))*-6. Factor 6/5*q**2 + x + 2/5*q**3 - 2/5*q**4 - 2*q. -2*(q - 1)**3*(q + 2)/5 Let c(q) = 9*q**3 - 23*q**2 + 8*q - 3. Let k(l) = -80*l**3 + 208*l**2 - 72*l + 28. Let f(v) = -28*c(v) - 3*k(v). Find i such that f(i) = 0. 0, 2/3, 1 Let f(z) be the second derivative of 3*z**6/2 + 43*z**5/4 + 55*z**4/3 - 10*z**3 - 29*z. Factor f(k). 5*k*(k + 2)*(k + 3)*(9*k - 2) Let h(o) = 3 - 6*o**2 + o**3 - 2*o**3 + 0 + 1. Let p be h(-6). Solve p*j**2 - 8*j + j**2 - j**2 + 2*j**2 + 2 = 0. 1/3, 1 Find o such that 0 + 3*o - 5*o**2 + 3*o**3 + 2*o**2 + 3 - 6*o = 0. -1, 1 Let n(m) be the third derivative of 9*m**2 + 0*m**4 + 0*m**6 + 0*m + 0*m**3 - 1/10*m**5 + 0 + 1/140*m**7. Determine z so that n(z) = 0. -2, 0, 2 Factor -4*q**5 + q**3 + 4*q**3 - q**5. -5*q**3*(q - 1)*(q + 1) Factor -6 + 5*g**2 - 57*g - 101*g**4 - 24*g**2 + 62*g**4 - 123*g**3 - 116*g**2. -3*(g + 1)**3*(13*g + 2) Suppose 33/7*v**2 + 12/7*v**3 + 12/7 - 48/7*v - 9/7*v**4 = 0. What is v? -2, 1/3, 1, 2 Let n(f) = f**3 + f**2 - 1. Let q(p) = 5*p**4 + 8*p**3 + 4*p**2 - p + 3. Let u(b) = 5*n(b) + q(b). Let u(t) = 0. What is t? -1, 2/5 Let l(s) be the second derivative of -s**7/378 - s**6/135 + s**5/90 + s**4/27 - s**3/54 - s**2/9 + 12*s. Let l(u) = 0. What is u? -2, -1, 1 Suppose 0 = -3*i + 5*i + 28. Let v(a) = 3*a**2 + 7. Let k(z) be the first derivative of -z**3/3 - 2*z + 1. Let h(j) = i*k(j) - 4*v(j). Solve h(w) = 0. 0 Let z(p) be the first derivative of p**5/15 - 3*p**4/2 + 97*p**3/9 - 24*p**2 + 64*p/3 - 52. Factor z(f). (f - 8)**2*(f - 1)**2/3 Let n(x) be the first derivative of x**6/20 + 3*x**5/10 + 3*x**4/4 + x**3 + 3*x**2/4 - 5*x - 4. Let j(s) be the first derivative of n(s). Factor j(y). 3*(y + 1)**4/2 Let d be (-7)/(2772/(-160)) - (-4)/(-22). Let c(q) be the first derivative of -1/3*q**2 + d*q**3 + 0*q - 3. Factor c(p). 2*p*(p - 1)/3 What is u in -5*u**5 + u**5 + 7*u**5 + 3*u**3 + 6*u**4 = 0? -1, 0 Let d(k) be the third derivative of k**8/560 + 3*k**7/350 + k**6/100 - k**5/50 - 3*k**4/40 - k**3/10 - 2*k**2. Determine v, given that d(v) = 0. -1, 1 Let i(g) = 110*g**2 - 265*g - 45. Let f(p) = -5*p**2 + 12*p + 2. Let y(t) = 45*f(t) + 2*i(t). Factor y(l). -5*l*(l - 2) Let k(d) be the second derivative of d**6/120 - 3*d**5/4
{ "pile_set_name": "DM Mathematics" }
- 3*r**2 + 4. Let n(i) = f(i) + 4*m(i). Find the third derivative of n(s) wrt s. 1020*s**2 What is the first derivative of -1 - 6*n**2 + 10*n**2 + 9*n**2 - 2 wrt n? 26*n Let u(y) be the second derivative of y**5/20 - y**3/6 - 4*y. Let o(v) = 9*v. Let r(s) = o(s) + 5*u(s). Find the second derivative of r(p) wrt p. 30*p Suppose 5*y + 3*n = 10, y - 3*n = 4*y - 6. Let t(f) be the second derivative of -3/2*f**y + 0 - f - 2/3*f**3. Differentiate t(s) with respect to s. -4 Let r(a) = -a**5 + 9*a**2 - 2*a + 2. Let d(n) = -6*n**5 + 46*n**2 - 11*n + 11. Let o(t) = -2*d(t) + 11*r(t). What is the third derivative of o(m) wrt m? 60*m**2 Let h(o) be the second derivative of o**6/180 - o**5/60 - 2*o**3/3 - o. Let p(a) be the second derivative of h(a). What is the second derivative of p(c) wrt c? 4 Let j(u) be the first derivative of -u**5/30 - u**4/8 - u**2/2 + 3. Let d(q) be the second derivative of j(q). Find the second derivative of d(n) wrt n. -4 Find the second derivative of -14*u - 2*u - 14*u**2 - 8*u**2 + 4*u wrt u. -44 Let h(u) = 18*u**3 - 16*u - 3. Let j(x) = 19*x**3 - 17*x - 4. Let w(b) = -4*h(b) + 3*j(b). What is the second derivative of w(d) wrt d? -90*d Find the third derivative of -57*v**5 + 69*v**5 + 5 + 10*v**2 - 5 wrt v. 720*v**2 Let o(s) = -24*s**4 - 2*s**3 - 7. Let x(r) = -24*r**4 - 3*r**3 - 6. Let n(l) = 3*o(l) - 2*x(l). What is the derivative of n(c) wrt c? -96*c**3 Suppose -4*j + q + 2*q + 20 = 0, -4*q = 4*j + 8. What is the second derivative of -11*v + j*v**5 + 2*v**5 + 5*v + 5*v**5 wrt v? 180*v**3 Let z(b) be the second derivative of b**5/20 + b**4/2 + 5*b**3/6 + b**2 + b. Let l be z(-5). Find the second derivative of -x**l + 0*x**2 + 0*x + x wrt x. -2 What is the derivative of 5 + 37*q**4 - 4*q**4 + 4*q**4 + 3*q**4 wrt q? 160*q**3 Let r(z) be the third derivative of -43*z**5/60 + 35*z**3/6 + 45*z**2. Find the first derivative of r(g) wrt g. -86*g Let x(g) be the second derivative of 2*g**6/5 - 5*g**2/2 - 14*g. Find the first derivative of x(f) wrt f. 48*f**3 Let z(v) = -v**3 + v**2 + v + 1. Let g(m) = 5*m**4 - 5*m**3 + 5*m**2 + 5*m + 18. Let q(j) = g(j) - 5*z(j). What is the derivative of q(f) wrt f? 20*f**3 Let r(s) be the third derivative of 0*s**7 + 0*s**4 - 8*s**2 + 3/20*s**5 + 0 + 0*s**6 + 0*s + 0*s**3 + 5/336*s**8. Find the third derivative of r(k) wrt k. 300*k**2 Let m(q) be the first derivative of -q**7/420 - q**5/60 - 2*q**3/3 - 3. Let i(j) be the third derivative of m(j). What is the second derivative of i(x) wrt x? -12*x Let t(m) be the second derivative of 3*m**4/4 + m**3/3 + 3*m**2 + 32*m. Find the second derivative of t(h) wrt h. 18 Let r(w) be the first derivative of -27*w**5/5 - 24*w - 33. Differentiate r(i) with respect to i. -108*i**3 Let o(c) be the first derivative of c**4/4 - c**3/3 - 2. Find the third derivative of o(y) wrt y. 6 Find the third derivative of -3*y**3 + 3*y**3 + 8*y**5 - y**5 - 10*y**2 wrt y. 420*y**2 What is the second derivative of 4 - 4 - 10*b**5 + 12*b + 0 wrt b? -200*b**3 Let y(w) be the third derivative of 0*w**3 + 0*w**4 - 2/105*w**7 + 0*w**6 + 0 + 0*w - 2*w**2 - 1/12*w**5. What is the third derivative of y(d) wrt d? -96*d Suppose 4*k = -t + 9, -3*k - 9 = -6*k - 3*t. Let v(g) = g - 3. Let p be v(3). Find the second derivative of 2 + 2*i - k + 3*i**4 + p wrt i. 36*i**2 Let i = -1 + 3. Find the second derivative of 2*u - u + u**5 - i*u**5 wrt u. -20*u**3 Let z(b) = b**2 - 17*b + 20. Let m be z(16). Let f(u) be the third derivative of -1/3*u**3 + 0 + 0*u - 1/12*u**m - 3*u**2. Differentiate f(d) wrt d. -2 Let h(x) = 14*x**3 + 44*x**2 - 17. Let f(m) = 5*m**3 + 15*m**2 - 6. Let k(u) = 17*f(u) - 6*h(u). Find the third derivative of k(d) wrt d. 6 Let l(k) be the first derivative of -9*k**6 - 15*k**2 - 30. Find the second derivative of l(n) wrt n. -1080*n**3 Suppose -3*t + 4*x = 29, -3*t + x = 26 - 3. Let g(w) = w**2 + 6*w - 5. Let k be g(t). What is the second derivative of 3*i**k + 0*i - i**2 - 2*i wrt i? 4 Let o(r) = -5*r - 3. Let s(d) = 1. Let k(p) = o(p) + 2*s(p). What is the first derivative of k(i) wrt i? -5 Let y(o) = -10*o + 17. Let c(x) = -2*x - 9. Let m be c(-7). Let k(s) = 5*s - 9. Let g(l) = m*k(l) + 3*y(l). Differentiate g(u) with respect to u. -5 Let q = 3 - -2. Let w(n) be the first derivative of n**5 + q - 3*n + 0*n - 2*n. Differentiate w(h) wrt h. 20*h**3 Suppose -y + 0 + 1 = -5*v, 4*v + 2*y - 2 = 0. Let m be (-1)/(v - -1) - -5. Differentiate -m*z**2 + 2 + 2*z**2 - 4 wrt z. -4*z Let q(v) = -6*v**5 - 3*v**3 - 3*v**2 - 3*v. Let g(z) = 18*z**5 + 8*z**3 + 8*z**2 + 9*z. Let f(m) = -3*g(m) - 8*q(m). Find the second derivative of f(u) wrt u. -120*u**3 Differentiate -4*d**3 + 210 - 100 - 104 - d**2 with respect to d. -12*d**2 - 2*d Let g(i) be the first derivative of -3/2*i**2 - i - 3. What is the first derivative of g(b) wrt b? -3 Let n = 15 + -13. Find the second derivative of 4*f - n*f**2 - f**2 + f**2 - 4*f**2 wrt f. -12 Let h(z) be the third derivative of -7*z**4/12 - z**3/2 + 14*z**2. Differentiate h(g) with respect to g. -14 Let n(i) = 9*i**3 + 6*i**2 - 5*i - 5. Let r(m) = 10*m**3 + 5*m**2 - 6*m - 6. Let g(h) = 6*n(h) - 5*r(h). What is the third derivative of g(l) wrt l? 24 Let d(n) = 0 - 2 - n**3 - 6*n - 3 + 8*n**2. Let o be d(7). Differentiate -4 + s**4 + 2 - o*s**4 with respect to s. -4*s**3 Let o be 0 - 0 - (2 + -5). Let j(c) be the second derivative of 3*c + 0 + 0*c**2 + 0*c**4 - 1/20*c**5 - 1/3*c**o. Find the second derivative of j(t) wrt t. -6*t Let a(c) be the first derivative of -4*c**6/3 + 10*c**3/3 + 8. Find the third derivative of a(w) wrt w. -480*w**2 Let x(g) be the second derivative of 7/30*g**6 + 0*g**5 + 0*g**4 - 4*g + 0*g**3 + 0 + 7/2*g**2. Differentiate x(o) with respect to o. 28*o**3 Let d be 2/(-8) + (-21)/(-4). Find the second derivative of 10*s - d*s**2 - 7*s**4 + 5*s**2 + 2*s**4 wrt s. -60*s**2 Let r be 2*2/8*6. Let z be (48/32)/((-1)/(-2)). Differentiate 1 - 3 - r*g**3 + g**z wrt g. -6*g**2 What is the second derivative of r**2 - 3*r**5 - 6 + 16 + 13*r - 15*r + 15 wrt r? -60*r**3 + 2 Let f(r) be the third derivative of -r**8/840 + r**5/60 - r**3/6 + r**2. Let v(t) be the first derivative of f(t). Find the second derivative of v(k) wrt k. -24*k**2 What is the second derivative of -12*s + 16*s**4 - 18*s**4 - 15*s wrt s? -24*s**2 Let y(q) be the second derivative of -q**5/10 - q**4/2 - 5*q. What is the third derivative of y(j) wrt j? -12 Suppose -3*b + 5*i - i + 21 = 0, 5*b - i - 18 = 0. Find the second derivative of 7*c**4 + 8*c + 0*c - 3*c**4 - b*c wrt c. 48*c**2 Suppose -2*i = -5*i + 12. Suppose 4*g - 14 = -2. Find the second derivative of 0*p**4 + p**i - g*p**2 + 3*p**2 - 4*p wrt p. 12*p**2 Let z(b) be the first derivative of 0*b**5 - 5/6*b**6 + 0*b**4 + 2 + 0*b**3 + 0*b + 2*b**2. Find the second derivative of z(p) wrt p. -100*p**3 Let g = 124 - 124. Let s(m) be the third derivative of 0*m**4 - 1/40*m**6 + 0*m**5 - m**2 + 0 + 1/3*m**3 + g*m. What is the derivative of s(n) wrt n? -9*n**2 Let l = 10 + -5. Let b = 8 - l. Find the second derivative of -u**5 + 3*u**5 - 2*u - b*u**5 wrt u. -20*u**3 Let a(x) = -44*x**3 + 41*x + 3. Let w(s) = 132*s**3 - 123*s - 8. Let m(q) = 8*a(q) + 3*w(q). What is the second derivative of m(f) wrt f? 264*f Let d(p) = 2*p**2 + 1. Let i be d(-1). Find the first derivative of 0 - i - 2*x**2 + 0 wrt x. -4*x What is the third derivative of t - 353*t**4 - 10*t**2 - t + 325*t**4 wrt t? -672*t Suppose 5*b - b = 104. Suppose 4*z - z = -4*m + b, 5*z - m = 5. What is the derivative of 7*q - 3*q - z + 0*q - 3*q wrt q? 1 Let h(y) = -y**2 - y + 1. Let g(s) = -5*s**2 - 5*s + 10. Let w(k) = -g(k) + 10*h(k). Find the second derivative of w(c) wrt c. -10 What is the third derivative of -8*q**3 - q**3 + 8*q**3 - 8*q**2 wrt q? -6 Find the third derivative of -2*f**5 - 955*f**2 - 33*f**5 + 980*f**2 wrt f. -2100*f**2 Differentiate 0 + 2 - 7*u**3 + 5*u**3 with respect to u. -6*u**2 Let x(d) = 47*d**4 - 7*d**3 - 7*d**2 - 7*d + 28. Let f(j) = 31*j**4 - 5*j**3 - 5*j**2 - 5*j + 19. Let w(r) = 7*f(r) - 5*x(r). Differentiate w(b) wrt b. -72*b**3 What is the third derivative of -27*h**2 - h**3 + 15 - 7*h**3 - 15 wrt h? -48 Let c(o) = -o**3 + o**2 + o + 1. Let k(l) = -6*l**4 + 2*l**3 - l**2 - 2*l + 34. Let h(y) = 2*c(y) + k(y). What is the first derivative
{ "pile_set_name": "DM Mathematics" }
rt 0.3, 81.018, -20. -20, 0.3, 81.018 Put 67, 0, 2274, -2, 3, 5 in increasing order. -2, 0, 3, 5, 67, 2274 Put 13, -1, -350, -4, -9, 0, -2 in descending order. 13, 0, -1, -2, -4, -9, -350 Put -2, -2313, 1, 67 in ascending order. -2313, -2, 1, 67 Sort 2, -1, -29, 1206, 7 in decreasing order. 1206, 7, 2, -1, -29 Sort 6, 1, -8, 183, -6, -96 in decreasing order. 183, 6, 1, -6, -8, -96 Put 3, 4, -3/350, 0.02861, -1, -5 in increasing order. -5, -1, -3/350, 0.02861, 3, 4 Put -0.0261, -7.255, -12 in descending order. -0.0261, -7.255, -12 Put 0.5, 2327, 0.2, 701, 0.4, -5 in decreasing order. 2327, 701, 0.5, 0.4, 0.2, -5 Put 235/11, -2, -429/116 in ascending order. -429/116, -2, 235/11 Put 2642785, -5, -4, 4 in ascending order. -5, -4, 4, 2642785 Sort -1910, -4, 7, -11. -1910, -11, -4, 7 Put -2, -0.8461, -17, 2/7, 0.4 in decreasing order. 0.4, 2/7, -0.8461, -2, -17 Put 5, -4, -108, -39, 0 in decreasing order. 5, 0, -4, -39, -108 Put -5, 5, -2/15, 739375 in decreasing order. 739375, 5, -2/15, -5 Put 0.81, -136, 7 in decreasing order. 7, 0.81, -136 Sort -3/4, 41, 10.49, -4, 2 in ascending order. -4, -3/4, 2, 10.49, 41 Put 431, 2/5, -7/6, -46.6 in descending order. 431, 2/5, -7/6, -46.6 Put 0, 5, -10, 44, -1, -43 in increasing order. -43, -10, -1, 0, 5, 44 Put 7, -8, 1, -47, -161, 2 in ascending order. -161, -47, -8, 1, 2, 7 Put 27, 3, -843/29 in descending order. 27, 3, -843/29 Sort 23, 2, 0.07235, -46, -3. -46, -3, 0.07235, 2, 23 Put 1, -4/7, 2/7, 0.3, 2/27, 203 in ascending order. -4/7, 2/27, 2/7, 0.3, 1, 203 Put -11, 1/5, 5/2, 0.1 in ascending order. -11, 0.1, 1/5, 5/2 Sort -44, 5, -2, 1, 3, 8, -9 in ascending order. -44, -9, -2, 1, 3, 5, 8 Put -5, 4, 47, -1, -4, -127 in increasing order. -127, -5, -4, -1, 4, 47 Put 1/289, -132/31, -8 in descending order. 1/289, -132/31, -8 Sort 5, 4, -4, -7, 2, -3846, -2. -3846, -7, -4, -2, 2, 4, 5 Put -4, -5, 19, 0, 3, -1, -51 in decreasing order. 19, 3, 0, -1, -4, -5, -51 Sort 1, 3.1, 4, 3, 1/4, -0.5, 3/2 in increasing order. -0.5, 1/4, 1, 3/2, 3, 3.1, 4 Sort 2, 447, -2, 1, 5, -8, 3 in ascending order. -8, -2, 1, 2, 3, 5, 447 Put -2/5, -195, -10, 5, -5, 0 in decreasing order. 5, 0, -2/5, -5, -10, -195 Sort 2, -5318, 67, 9 in increasing order. -5318, 2, 9, 67 Sort -0.0359103, 0.21, 2 in decreasing order. 2, 0.21, -0.0359103 Put 3, 230, -3826 in decreasing order. 230, 3, -3826 Put 26, -10, -15434 in ascending order. -15434, -10, 26 Put 8, -152, 3307 in increasing order. -152, 8, 3307 Put -19, 1.42, 0.4, -2744 in ascending order. -2744, -19, 0.4, 1.42 Put -86, -5, -63, 5, -3, 2, 1 in decreasing order. 5, 2, 1, -3, -5, -63, -86 Put 0, 0.5, 4, 22766/5, 1.1 in descending order. 22766/5, 4, 1.1, 0.5, 0 Put -2871, -1, 1, -92 in increasing order. -2871, -92, -1, 1 Sort -2, 3, -6531/4, -2.44, 4 in decreasing order. 4, 3, -2, -2.44, -6531/4 Sort -7, -61, -5, 48, 4, -4, 2 in decreasing order. 48, 4, 2, -4, -5, -7, -61 Put 1477, -2, -1, -3 in decreasing order. 1477, -1, -2, -3 Put 423, 2, 222, -3 in ascending order. -3, 2, 222, 423 Put 0, -0.4, 3, 0.377, -3/7 in decreasing order. 3, 0.377, 0, -0.4, -3/7 Put -3, -54, -5, -4, -8, -755, 13 in increasing order. -755, -54, -8, -5, -4, -3, 13 Put 7657, 3645, 3 in descending order. 7657, 3645, 3 Put 27, -0.3, 1/4, -8.54, -6/5 in decreasing order. 27, 1/4, -0.3, -6/5, -8.54 Put -2, 5, 3, -30, -159, 9, -4 in descending order. 9, 5, 3, -2, -4, -30, -159 Put -4.3, -1/13, -2/39, 3/5, 3 in decreasing order. 3, 3/5, -2/39, -1/13, -4.3 Put -203, 44, 0, 34/3, 1/3, 0.4 in decreasing order. 44, 34/3, 0.4, 1/3, 0, -203 Sort -1, 43, 26, 1, -0.52. -1, -0.52, 1, 26, 43 Sort -66, -1, 2383, -4. -66, -4, -1, 2383 Put -2/9, -71/5, 0, 57, 12/23 in ascending order. -71/5, -2/9, 0, 12/23, 57 Put 170, -6, -4, 2, -27, 4, 8 in descending order. 170, 8, 4, 2, -4, -6, -27 Put -369644, 226, -1 in ascending order. -369644, -1, 226 Put 0.0708, 5, 105, 3, 4/7 in descending order. 105, 5, 3, 4/7, 0.0708 Sort -2/101, 0.5, -3/232286. -2/101, -3/232286, 0.5 Sort 38, -6, 2, -9, -1, -10, -5 in descending order. 38, 2, -1, -5, -6, -9, -10 Put -4/23, -135, 7/17 in ascending order. -135, -4/23, 7/17 Put 0.003, 70444, -2 in ascending order. -2, 0.003, 70444 Sort 762, 5, 20, 15 in ascending order. 5, 15, 20, 762 Sort 4, 229.178, 0.5, -0.2. -0.2, 0.5, 4, 229.178 Put 55/2, -38, 346, 1 in increasing order. -38, 1, 55/2, 346 Sort -1, -2495, -2690.78 in decreasing order. -1, -2495, -2690.78 Sort 63/4, -0.3, 16.9, -11/17 in descending order. 16.9, 63/4, -0.3, -11/17 Sort 209368, 2, 2/7 in ascending order. 2/7, 2, 209368 Sort -2324, 1391, -3, -35, 2 in decreasing order. 1391, 2, -3, -35, -2324 Sort -1, -39, 3, 2, -1583, 13 in descending order. 13, 3, 2, -1, -39, -1583 Put -5, -4, 1952, 506 in descending order. 1952, 506, -4, -5 Put -23, -35, 2, 48, -55 in decreasing order. 48, 2, -23, -35, -55 Put -44005, 0.17, 10.8 in increasing order. -44005, 0.17, 10.8 Put -5/8, 2, -4, -132, -0.3, 3 in descending order. 3, 2, -0.3, -5/8, -4, -132 Put 179, -5, -32, -1 in decreasing order. 179, -1, -5, -32 Sort -21, 3, -18, -5, -14335 in decreasing order. 3, -5, -18, -21, -14335 Put -3, -9, 180, -18, 4, 1, -5 in decreasing order. 180, 4, 1, -3, -5, -9, -18 Put -53, 0, 3, 1, 6, -13 in descending order. 6, 3, 1, 0, -13, -53 Sort 2, 55, 145154, -2, 0, -4 in descending order. 145154, 55, 2, 0, -2, -4 Sort 2, -23, -9, 884, -7 in descending order. 884, 2, -7, -9, -23 Sort -1, -405, -4, 8, -94, 0. -405, -94, -4, -1, 0, 8 Sort 0, -761, -23, 1, -4, -3. -761, -23, -4, -3, 0, 1 Sort 168, -726/7, -5, 0.7. -726/7, -5, 0.7, 168 Sort 0.5, -0.04, -27, 76, -16, 1 in ascending order. -27, -16, -0.04, 0.5, 1, 76 Put -1, -3/4, 0.2, -404214, 2/11 in increasing order. -404214, -1, -3/4, 2/11, 0.2 Put -10.38041, 2, 13 in decreasing order. 13, 2, -10.38041 Sort 2, -0.3, -249, 22450 in descending order. 22450, 2, -0.3, -249 Sort 28, 1, -1, 6, -1265, 0, 3 in ascending order. -1265, -1, 0, 1, 3, 6, 28 Sort -63, 11, -3, -2, -1 in descending order. 11, -1, -2, -3, -63 Sort 5, -3, 1/2, -102, 0.17, 1/4. -102, -3, 0.17, 1/4, 1/2, 5 Sort -5, -1, -9, 8, -26236, -4, -3 in decreasing order. 8, -1, -3, -4, -5, -9, -26236 Put -29, 4/5, 30287 in increasing order. -29, 4/5, 30287 Put 202164, -3.3, -5 in ascending order. -5, -3.3, 202164 Sort 6/6401, 4, 3/5, 2/7 in ascending order. 6/6401, 2/7, 3/5, 4 Sort 2, 3, 5, -12, -5, 31, -29. -29, -12, -5, 2, 3, 5, 31 Sort -1/8, 3/5293, 0, 29/2, 1 in descending order. 29/2, 1, 3/5293, 0, -1/8 Sort -8, -30/11, -26, -0.06, -4 in descending order. -0.06, -30/11, -4, -8, -26 Put 1633, -20846, -4 in ascending order. -20846, -4, 1633 Sort 77, 2/19, 1/4, 5, 0, -3, 0.6. -3, 0, 2/19, 1/4, 0.6, 5, 77 Sort 92, 0.03, -91137 in decreasing order. 92, 0.03, -91137 Put -2/21, 1, 20321 in increasing order. -2/21, 1, 20321 Sort -2, -3210/89, -0.3 in ascending order. -3210/89, -2, -0.3 Sort 5, -3, 15934, 0.4, 254 in decreasing order. 15934, 254, 5, 0.4, -3 Sort -2, -5, -4, 7, -32, -21 in decreasing order. 7, -2, -4, -5, -21, -32 Sort 0, 39, 4, -162, 9 in descending order. 39, 9, 4, 0, -162 Sort -2, 4, 0, 2, -5052, -32 in decreasing order. 4, 2, 0, -2, -32, -5052 Sort -3, -2, 2, -366, -1, -810 in decreasing order. 2, -1, -2, -3, -366, -810 Sort -9, 149, 7, 0, 94 in increasing order. -9, 0, 7, 94, 149 Put 1/6, 10/21, 1/3, -5, -2/7, 17 in descending order. 17, 10/21, 1/3, 1/6, -2/7, -5 Sort -14549, -0.2, -34.63 in ascending order. -14549, -34.63, -0.2 Sort -5, -4, 340866958 in increasing order. -5, -4, 340866958 Put -5, 104, 2, -6, 0, -65 in decreasing order. 104, 2, 0, -5, -6, -65 Sort 1/6, -15.7, 0.0407, 1/4. -15.7, 0.0407, 1/6, 1/4 Sort -5, 2/3, 0.5, 2.4, 0.3, -654. -654, -5, 0.3, 0.5, 2/3, 2.4 Put -9148515, -3, 7 in decreasing order. 7, -3, -9148515 Put -45, 1/5, 3/7, 0.32, -7, 2 in decreasing order. 2, 3/7, 0.32, 1/5, -7, -45 Put 2, -3/20, -0.8, 1/2, 0.2633 in increasing order. -0.8, -3/20, 0.2633, 1/2, 2 Sort 3331, 70, -4, 0, 3 in decreasing order. 3331, 70, 3, 0, -4 Put 0, -111/7, 1/5593 in descending order. 1/5593, 0, -111/7 Sort -11, 8, -36, -4, 9, 5 in descending order. 9, 8, 5, -4, -11, -36 Sort 261238, -38, -3, -7 in descending order. 261238, -3, -7, -38 Put 4, -124286, -3, 2, -4 in decreasing order. 4, 2, -3, -4, -124286 Put -2, -25, 5, 0, -19, 15 in de
{ "pile_set_name": "DM Mathematics" }
t(11) + 2478 Simplify (sqrt(324)/sqrt(108))/(1*sqrt(9)*1) + -3. -3 + sqrt(3)/3 Simplify 5*-3*((1*sqrt(1053) - sqrt(1053))*-2 + sqrt(1053) + sqrt(1053) - 4*(sqrt(1053) + (sqrt(1053) - 2*sqrt(1053))))**2. -63180 Simplify (sqrt(66)*-1*1 - (-2*(sqrt(66) - (sqrt(66) - -2*sqrt(66))) + sqrt(66) - sqrt(66)))/(sqrt(24)/(-1*1*sqrt(4))). 5*sqrt(11) Simplify (2*2*sqrt(204)*-4)/((sqrt(192) - -1*sqrt(192)) + (sqrt(768)*-1 - sqrt(12))). 16*sqrt(17) Simplify -2*3*(sqrt(190)/sqrt(5)*-5)/(sqrt(8) - sqrt(16)/sqrt(2) - sqrt(2)). -30*sqrt(19) Simplify ((-1*sqrt(110)*6 + sqrt(110))*-5)/((sqrt(120) - (-1*sqrt(120) - sqrt(120)))/sqrt(12)*6). 25*sqrt(11)/18 Simplify ((sqrt(847) + 2 + -4)*-4 + (-5 + (sqrt(847) - (sqrt(847) + 2)))*3)**2. 1144*sqrt(7) + 13721 Simplify -1*((sqrt(13) - (sqrt(13) - sqrt(143)/(sqrt(55)/sqrt(5)) - sqrt(13))) + sqrt(52)/(sqrt(20)/sqrt(5)) + -3)**2. -126 + 18*sqrt(13) Simplify -3 + (-2 + sqrt(396) + 1 + (sqrt(396) - 2*sqrt(396)*-3) + sqrt(396) + sqrt(396))**2. -120*sqrt(11) + 39598 Simplify ((4 + (sqrt(18)/sqrt(2))/sqrt(3))*2*2)**2. 128*sqrt(3) + 304 Simplify (sqrt(200) + (sqrt(200) - 1*(sqrt(200)*2 - sqrt(200))))/(1*sqrt(1000)). sqrt(5)/5 Simplify 5 + ((sqrt(117)*5 + sqrt(117))/sqrt(9) - (0 + sqrt(1300))). -4*sqrt(13) + 5 Simplify 1*(sqrt(1872) + (sqrt(1872)*-1)**2)*3 - ((sqrt(1872) + sqrt(1872) + -2 + (sqrt(1872) - sqrt(1872)*1))**2 - (3 + (sqrt(1872) - -1*sqrt(1872)))). -1873 + 156*sqrt(13) Simplify (4*(2*sqrt(364) - sqrt(364)))/(sqrt(567)*1 + sqrt(567) + sqrt(567) + sqrt(567))*1. 2*sqrt(13)/9 Simplify (-3 + 5 + (sqrt(117) + -1)*6 + -3*(1 + sqrt(117) + sqrt(117)) + 2)**2. 25 Simplify (((sqrt(85) + sqrt(85)*2 + sqrt(85))*2)/sqrt(5) - sqrt(187)/(sqrt(55)/sqrt(5))*-1)**2. 1377 Simplify (sqrt(9)/(sqrt(48) + sqrt(3)) - (4 + sqrt(3)*-1)) + sqrt(363)*-2*-6. -4 + 666*sqrt(3)/5 Simplify (2*sqrt(119)*-5)/(sqrt(21)/(-2*sqrt(3))). 20*sqrt(17) Simplify ((-1 + sqrt(425) - sqrt(425)) + sqrt(425) + -5)*-3 + -1. -15*sqrt(17) + 17 Simplify ((2*sqrt(26)*-5)/sqrt(2) + (-3 + sqrt(637))*2)**2. -48*sqrt(13) + 244 Simplify (((sqrt(117) - (sqrt(117) - sqrt(117)*-1) - sqrt(117) - sqrt(117))*-4*-6)/((-2*(sqrt(576) + sqrt(36)))/sqrt(4)))**2. 16848/25 Simplify (6*(sqrt(432) - (sqrt(432) - sqrt(432)*2))*5*-2*-3)**2. 55987200 Simplify (sqrt(76) - (sqrt(76) - (sqrt(76) + sqrt(76)*2))*-3)/(sqrt(16)/sqrt(4)*6) + (2*(sqrt(171)*-2 - sqrt(171) - sqrt(171)))**2 + 2. -5*sqrt(19)/6 + 10946 Simplify ((-1 + sqrt(1377) + -2 - ((sqrt(1377)*2 - sqrt(1377) - sqrt(1377)) + 5 - sqrt(1377))) + -4)**2. -432*sqrt(17) + 5652 Simplify (3*(sqrt(60) + (-2*sqrt(2160) - sqrt(60))))/(sqrt(72)/sqrt(54) - -5*sqrt(60)/sqrt(5)). -27*sqrt(5)/4 Simplify (0 + (sqrt(1008) + -1 + 4 + sqrt(1008))*-5)**2*3. 10800*sqrt(7) + 303075 Simplify (2*(-5 + sqrt(847) + 2 + sqrt(847)) + 2 + -3)**2. -616*sqrt(7) + 13601 Simplify sqrt(2100)/sqrt(3)*5 - (4 + -4 + sqrt(7) + 5)**2. -32 + 40*sqrt(7) Simplify (sqrt(11) + 1 + 4 + sqrt(11) - -5*(sqrt(11)*-1)**2) + (sqrt(22)/(-3*sqrt(72)))**2. 2*sqrt(11) + 19451/324 Simplify -6*-4*(-3 + sqrt(3)) + sqrt(30)/(sqrt(10)*3*5). -72 + 361*sqrt(3)/15 Simplify -5 + sqrt(972) + -1 + sqrt(972) + 1 - (4 + (sqrt(972) - (0 + sqrt(972)))*5). -9 + 36*sqrt(3) Simplify (((sqrt(176)*-1 + sqrt(176))**2 - sqrt(176))*3 - -2*(sqrt(176)*2)**2) + (((0 + sqrt(176))*4)**2 - (-4 + (sqrt(176)*1 - sqrt(176)) + sqrt(176))). -16*sqrt(11) + 4228 Simplify 5 + 6*(sqrt(51) - sqrt(306)/(sqrt(30)/sqrt(5)))/(sqrt(3) + (sqrt(27)*-3 - sqrt(3))). 5 Simplify -3*(sqrt(1568)*2)**2 + (1 + sqrt(162) - sqrt(162)) + (sqrt(288) + 2)**2. -18523 + 48*sqrt(2) Simplify ((sqrt(14)/sqrt(7) + -5 - (sqrt(2) - (sqrt(18) + sqrt(126)/sqrt(7))**2)) + -2)*2. 130 Simplify (-3*sqrt(224)/sqrt(8))/(sqrt(252)/sqrt(7)). -sqrt(7) Simplify sqrt(448) + 2 - sqrt(7) - ((sqrt(448) - (2 + sqrt(448))) + sqrt(448)) - (4 + 2*sqrt(112)). -9*sqrt(7) Simplify -1*(sqrt(42)/(sqrt(6)*2) + -1)**2 + (sqrt(70)*-2*-5)/((sqrt(20)*1)/sqrt(2)). -11/4 + 11*sqrt(7) Simplify 0 + ((-5*1*sqrt(1008))**2 - ((2*sqrt(441))/sqrt(7))**2). 24948 Simplify (-5*(sqrt(7260)*-3 - sqrt(7260)))/(sqrt(588) - (sqrt(588) - sqrt(588)*-3*-4)). 55*sqrt(5)/21 Simplify (-2 + sqrt(1053) + sqrt(1053) + sqrt(1053))**2 + -3 + (-5*(sqrt(13) + 0) - (sqrt(1872) + -1 + sqrt(1872))**2). -65*sqrt(13) + 1989 Simplify -1*6*(sqrt(96) + (sqrt(96)*-4 - sqrt(96) - sqrt(96)))/sqrt(3)*3. 360*sqrt(2) Simplify (-1 + sqrt(18)/(4*sqrt(6)*-1) - ((-3*sqrt(3) + sqrt(3))*-1 + (sqrt(3) - sqrt(1080)/sqrt(10))))**2. -11*sqrt(3)/2 + 379/16 Simplify (2*(((sqrt(425) - sqrt(425)*2) + sqrt(425) + 4 - sqrt(425)) + 2)*5*4)**2. -96000*sqrt(17) + 737600 Simplify (1*sqrt(143)*-3 - sqrt(143) - (-5*2*sqrt(143) + sqrt(143)))/(sqrt(22)/(sqrt(2) + (sqrt(2) - sqrt(200)*-2))). 110*sqrt(13) Simplify (sqrt(900)*-1 + -5*sqrt(75)/sqrt(3))/((sqrt(500) + -1*sqrt(500) + sqrt(500) - sqrt(500)) + (sqrt(560) + sqrt(35))/sqrt(7)). -11*sqrt(5)/5 Simplify 2 + (sqrt(153))**2*-3 + -4 + sqrt(1377). -461 + 9*sqrt(17) Simplify (((sqrt(275) + sqrt(275)*1 + sqrt(11))*3 + sqrt(275)*4 + -2*sqrt(275))*-5)**2. 508475 Simplify ((sqrt(77) + sqrt(77)*2 + sqrt(77) - sqrt(77))*-1 + sqrt(77)*-2*2)/((-6*sqrt(112) - sqrt(7)) + sqrt(196)/sqrt(7)) + 1. 1 + 7*sqrt(11)/23 Simplify (sqrt(104)*-1*-1 - -3*2*sqrt(104))/((3*sqrt(896))/sqrt(7)). 7*sqrt(13)/12 Simplify (-5 + 0 + sqrt(200) - sqrt(200))**2 + -2 - ((-1 + sqrt(2))*-6 - (sqrt(40)/sqrt(5) - sqrt(8))). 6*sqrt(2) + 17 Simplify -3 + ((sqrt(143) + -4*4*sqrt(143))/sqrt(11))**2 + 4. 2926 Simplify -1 + sqrt(192) + 5 + -1 + -4*sqrt(3)*-3. 3 + 20*sqrt(3) Simplify sqrt(66)/sqrt(6)*3 - (sqrt(11) + 1 + 5)**2 - (sqrt(44)/(sqrt(4)*1) + sqrt(11) + sqrt(880)/sqrt(5))*-1. -47 - 3*sqrt(11) Simplify 0 + ((sqrt(7) - sqrt(14)/(sqrt(12)/sqrt(6))) + sqrt(35)/sqrt(5) + 3 + sqrt(7))**2 + 3. 12*sqrt(7) + 40 Simplify (sqrt(625)*4)/(sqrt(20)*6). 5*sqrt(5)/3 Simplify 2 + ((sqrt(187) - -2*sqrt(187))/sqrt(11))**2 + 5*(-3*sqrt(17))**2*-1. -610 Simplify 2 + -4 + (sqrt(637)*-1 + -4 - ((0 + sqrt(637))*2)**2) + 4. -2550 - 7*sqrt(13) Simplify sqrt(2) + (sqrt(96)/sqrt(6))/sqrt(8) - (sqrt(20)*2)/sqrt(10) - (-1*(-1 + sqrt(72)) + sqrt(72))*2. -2 Simplify (0 + (-5 + -2*sqrt(5) + -4 - (sqrt(125) + -1 + sqrt(125) + 0)))**2. 192*sqrt(5) + 784 Simplify 6*(((sqrt(1700) + 1*sqrt(1700) + 4 - sqrt(1700)) + sqrt(1700) + -1*(sqrt(1700) + 2))*6)**2. 8640*sqrt(17) + 368064 Simplify -5 + (-2*(-2*(-2 + sqrt(1700)) + sqrt(1700) + sqrt(1700) + -4*sqrt(1700)*-1 + sqrt(1700) + sqrt(1700)))**2. 1920*sqrt(17) + 244859 Simplify ((sqrt(77) - (6*sqrt(77)*2 + sqrt(77)))/sqrt(11) + (-1 + sqrt(63) + (-1 + sqrt(112) - sqrt(112)))**2)*5. -120*sqrt(7) + 335 Simplify ((sqrt(2940)*1 + sqrt(300)/(-1*sqrt(5)))/(sqrt(144)/(-1*sqrt(108))))**2. 1620 Simplify ((sqrt(225)/sqrt(36))/(sqrt(405)*2)*-3*-4)**2. 5/9 Simplify (-2*sqrt(130)*-3 - (sqrt(130) - -1*sqrt(130)*-5))/(sqrt(90)/sqrt(144) + 2*sqrt(90)). 8*sqrt(13)/5 Simplify 2*((((sqrt(200) - ((sqrt(200) - (sqrt(200) + 3)) + -4)) + sqrt(200))**2 - sqrt(200) - sqrt(200) - ((sqrt(200)*1)**2 + sqrt(200))*5) + 2). -298 + 420*sqrt(2) Simplify 0 + ((sqrt(1539) + (-1 + sqrt(1539))**2)*-1 + 0)*4 + -1. -6161 + 36*sqrt(19) Simplify -3*((sqrt(76) + -1)*-2 + -2). 12*sqrt(19) Simplify (-3*(1 + -2*(sqrt(833) + sqrt(833) + -1) + -1))**2. -1008*sqrt(17) + 119988 Simplify (sqrt(684) + 0 + sqrt(684) + 4)**2 + sqrt(684) + (2 + (sqrt(304) - sqrt(19)) - 4*(sqrt(304))**2). 105*sqrt(19) + 1538 Simplify ((2 + (-5*(sqrt(1584) + 2*sqrt(1584)) - (sqrt(1584) + sqrt(1584) + 0 + 4)))**2 + -5)*2. 1632*sqrt(11) + 915550 Simplify -4*(-5*(sqrt(11) - 2*sqrt(11)))**2*2 - (sqrt(66)/(sqrt(270)/sqrt(5)) + -3). -2197 - sqrt(11)/3 Simplify sqrt(45) + ((sqrt(720) + 5 - sqrt(45)) + sqrt(45))**2 - (-1 + sqrt(45))*-6 - (-4 + (sqrt(180) + 0)**2 + 3). 141*sqrt(5) + 560 Simplify (0 + -1*sqrt(5))*1 + (sqrt(15) + sqrt(15) + sqrt(150)/sqrt(1000))/sqrt(3). 11*sqrt(5)/10 Simplify (5 + sqrt(72) + -3*4*sqrt(72))**2*-5. -43685 + 3300*sqrt(2) Simplify (-2*3*sqrt(304) + sqrt(19) + (sqrt(304)*-3 - sqrt(19)) + 0)**2. 24624 Simplify (1*sqrt(12)*1 + sqrt(1452)*2)/(sqrt(66)/(4*sqrt(99))). 276*sqrt(2) Simplify (sqrt(180) - (sqrt(180) + (sqrt(180) - (sqrt(180) + 1*sqrt(180)*-3)) - sqrt(180)))/(sqrt(4) + sqrt(4)*-1*2). 6*sqrt(5) Simplify (-3 + -4*sqrt(48))**2 + 5 + -3. 96*sqrt(3) + 779 Simplify ((1*(sqrt(275) -
{ "pile_set_name": "DM Mathematics" }
s digit of 921? 9 What is the tens digit of 6209? 0 What is the tens digit of 695? 9 What is the thousands digit of 19492? 9 What is the tens digit of 956? 5 What is the tens digit of 18262? 6 What is the thousands digit of 2113? 2 What is the tens digit of 19330? 3 What is the units digit of 624? 4 What is the units digit of 1013? 3 What is the hundreds digit of 19262? 2 What is the units digit of 236? 6 What is the units digit of 539? 9 What is the tens digit of 22680? 8 What is the hundreds digit of 3248? 2 What is the thousands digit of 3970? 3 What is the ten thousands digit of 12162? 1 What is the tens digit of 4368? 6 What is the units digit of 2801? 1 What is the units digit of 7083? 3 What is the hundreds digit of 46381? 3 What is the hundreds digit of 2796? 7 What is the ten thousands digit of 69919? 6 What is the thousands digit of 9782? 9 What is the thousands digit of 13093? 3 What is the tens digit of 6593? 9 What is the hundreds digit of 379? 3 What is the units digit of 6090? 0 What is the tens digit of 6649? 4 What is the units digit of 16836? 6 What is the hundreds digit of 18208? 2 What is the units digit of 3803? 3 What is the hundreds digit of 2908? 9 What is the thousands digit of 1112? 1 What is the units digit of 2037? 7 What is the hundreds digit of 930? 9 What is the tens digit of 14634? 3 What is the units digit of 1183? 3 What is the hundreds digit of 717? 7 What is the units digit of 969? 9 What is the tens digit of 6207? 0 What is the tens digit of 750? 5 What is the tens digit of 126? 2 What is the tens digit of 4931? 3 What is the hundreds digit of 3215? 2 What is the units digit of 2279? 9 What is the hundreds digit of 139? 1 What is the units digit of 30368? 8 What is the thousands digit of 79002? 9 What is the tens digit of 1584? 8 What is the units digit of 685? 5 What is the units digit of 3658? 8 What is the hundreds digit of 175? 1 What is the tens digit of 1427? 2 What is the tens digit of 55817? 1 What is the tens digit of 747? 4 What is the thousands digit of 65225? 5 What is the tens digit of 218? 1 What is the tens digit of 742? 4 What is the thousands digit of 2031? 2 What is the hundreds digit of 2923? 9 What is the hundreds digit of 117410? 4 What is the thousands digit of 1392? 1 What is the tens digit of 7688? 8 What is the hundreds digit of 4608? 6 What is the hundreds digit of 7780? 7 What is the tens digit of 1362? 6 What is the units digit of 21? 1 What is the units digit of 10400? 0 What is the units digit of 1904? 4 What is the hundreds digit of 10694? 6 What is the units digit of 1192? 2 What is the units digit of 3014? 4 What is the units digit of 79591? 1 What is the units digit of 41574? 4 What is the tens digit of 9555? 5 What is the ten thousands digit of 78252? 7 What is the hundreds digit of 471? 4 What is the ten thousands digit of 33626? 3 What is the hundreds digit of 34391? 3 What is the units digit of 10745? 5 What is the units digit of 49839? 9 What is the tens digit of 8894? 9 What is the hundreds digit of 9990? 9 What is the hundreds digit of 858? 8 What is the thousands digit of 2981? 2 What is the hundreds digit of 5103? 1 What is the ten thousands digit of 16484? 1 What is the tens digit of 34140? 4 What is the thousands digit of 6568? 6 What is the hundreds digit of 49331? 3 What is the ten thousands digit of 36081? 3 What is the tens digit of 2513? 1 What is the thousands digit of 26414? 6 What is the units digit of 4017? 7 What is the units digit of 5569? 9 What is the thousands digit of 30702? 0 What is the units digit of 2268? 8 What is the thousands digit of 2484? 2 What is the ten thousands digit of 18901? 1 What is the units digit of 86? 6 What is the thousands digit of 5064? 5 What is the thousands digit of 192834? 2 What is the thousands digit of 21428? 1 What is the ten thousands digit of 13371? 1 What is the units digit of 422? 2 What is the hundreds digit of 26997? 9 What is the units digit of 9541? 1 What is the units digit of 8182? 2 What is the thousands digit of 12394? 2 What is the thousands digit of 49533? 9 What is the units digit of 6138? 8 What is the units digit of 73856? 6 What is the hundreds digit of 993? 9 What is the units digit of 1767? 7 What is the units digit of 3917? 7 What is the units digit of 58106? 6 What is the hundreds digit of 3390? 3 What is the tens digit of 71641? 4 What is the thousands digit of 3208? 3 What is the tens digit of 22405? 0 What is the tens digit of 52856? 5 What is the ten thousands digit of 14887? 1 What is the ten thousands digit of 21653? 2 What is the thousands digit of 3976? 3 What is the units digit of 713? 3 What is the hundreds digit of 4630? 6 What is the tens digit of 21? 2 What is the units digit of 3289? 9 What is the thousands digit of 6632? 6 What is the units digit of 26659? 9 What is the hundreds digit of 6439? 4 What is the thousands digit of 2035? 2 What is the hundreds digit of 1287? 2 What is the tens digit of 42909? 0 What is the tens digit of 1012? 1 What is the thousands digit of 31184? 1 What is the thousands digit of 2069? 2 What is the units digit of 4617? 7 What is the units digit of 2928? 8 What is the units digit of 719? 9 What is the ten thousands digit of 49954? 4 What is the hundreds digit of 3840? 8 What is the units digit of 7422? 2 What is the units digit of 30880? 0 What is the tens digit of 1192? 9 What is the thousands digit of 26126? 6 What is the thousands digit of 44477? 4 What is the hundreds digit of 2958? 9 What is the ten thousands digit of 17389? 1 What is the tens digit of 1112? 1 What is the hundreds digit of 121979? 9 What is the hundreds digit of 3206? 2 What is the tens digit of 65? 6 What is the units digit of 19011? 1 What is the hundreds digit of 881? 8 What is the ten thousands digit of 38281? 3 What is the tens digit of 9420? 2 What is the units digit of 1082? 2 What is the tens digit of 397? 9 What is the ten thousands digit of 49480? 4 What is the ten thousands digit of 17098? 1 What is the hundreds digit of 993? 9 What is the tens digit of 19644? 4 What is the units digit of 34624? 4 What is the units digit of 1668? 8 What is the hundreds digit of 72022? 0 What is the units digit of 984? 4 What is the units digit of 3? 3 What is the units digit of 11166? 6 What is the hundreds digit of 4691? 6 What is the tens digit of 446? 4 What is the ten thousands digit of 54683? 5 What is the thousands digit of 6627? 6 What is the hundreds digit of 5978? 9 What is the tens digit of 39? 3 What is the tens digit of 24438? 3 What is the hundreds digit of 790? 7 What is the tens digit of 1178? 7 What is the hundreds digit of 15922? 9 What is the hundreds digit of 1154? 1 What is the ten thousands digit of 18143? 1 What is the thousands digit of 11504? 1 What is the thousands digit of 6594? 6 What is the tens digit of 595? 9 What is the tens digit of 1526? 2 What is the units digit of 8547? 7 What is the thousands digit of 4611? 4 What is the ten thousands digit of 13611? 1 What is the thousands digit of 2510? 2 What is the tens digit of 142? 4 What is the tens digit of 29868? 6 What is the units digit of 2592? 2 What is the units digit of 251? 1 What is the units digit of 1967? 7 What is the units digit of 28? 8 What is the hundreds digit of 1131? 1 What is the tens digit of 1263? 6 What is the thousands digit of 1617? 1 What is the tens digit of 35662? 6 What is the units digit of 3556? 6 What is the units digit of 952? 2 What is the units digit of 2186? 6 What is the units digit of 93476? 6 What is the units digit of 14061? 1 What is the tens digit of 696? 9 What is the units digit of 1130? 0 What is the hundreds digit of 50821? 8 What is the thousands digit of 1092? 1 What is the hundreds digit of 571? 5 What is the hundreds digit of 578? 5 What is the hundreds digit of 1697? 6 What is the tens digit of 1694? 9 What is the tens digit of 9230? 3 What is the thousands digit of 24913? 4 What is the units digit of 51? 1 What is the units digit of 1589? 9 What is the tens digit of 6138? 3 What is the units digit of 10767? 7 What is the thousands digit of 9862? 9 What is the units digit of 34313? 3 What is the units digit of 786? 6 What is the hundreds digit of 953? 9
{ "pile_set_name": "DM Mathematics" }
*2)))*5*-6. -10*sqrt(3)/3 Simplify (((sqrt(364)/(sqrt(28)/sqrt(4)) + sqrt(52) - sqrt(52)) + sqrt(52) - ((sqrt(416)*-1)/sqrt(8) - sqrt(52)))/((sqrt(224)/sqrt(7)*5)/sqrt(8)))**2. 208/25 Simplify 3*(-2*sqrt(5)*6*-6 - sqrt(35)/(sqrt(56)/sqrt(72)))**2*-2. -142830 Simplify (3 + (sqrt(91)*-1*3 - 4*sqrt(91)*-1)/((sqrt(21) - (sqrt(189) - sqrt(21)))/sqrt(3)*-6))**2. sqrt(13) + 337/36 Simplify -3 + (0 + -5*((2 + sqrt(180) + sqrt(180) + 2 - sqrt(180)) + -3 + sqrt(180) + 1)*-6)**2. 43200*sqrt(5) + 651597 Simplify 5*(-1 + 5*-6*((0 + sqrt(475) + 1)**2 + sqrt(475) - (0 + sqrt(475) + -5 + sqrt(475)))) + -3. -72158 - 750*sqrt(19) Simplify ((sqrt(342) - sqrt(342)*-1*-3)/(sqrt(24)*-3))/(5*-2*sqrt(147) + 2*1*sqrt(147)). -sqrt(19)/168 Simplify (-1*sqrt(140)/(sqrt(7)*-2 - sqrt(7))*-5)/(4*(sqrt(80)/sqrt(2) - sqrt(40) - sqrt(40))*-6). -5*sqrt(2)/144 Simplify (0 + sqrt(8))**2*6*-3 - (-1*(sqrt(288))**2 + 4). 140 Simplify ((sqrt(360)*-1 + sqrt(360) - sqrt(60)/(sqrt(30)/sqrt(5)))/(sqrt(144)/sqrt(2)) + 3)**2. -sqrt(5) + 329/36 Simplify 0 + 0 + sqrt(27) + 5 + 5 + ((sqrt(252) - ((sqrt(252) - -1*sqrt(252)) + sqrt(252)))/sqrt(7))/sqrt(12)*1. sqrt(3) + 10 Simplify (4 + (sqrt(304) + 2 + sqrt(304))*3 + 2 + 5*(sqrt(304) + 5 + sqrt(304))*-4)**2 + 1. 23936*sqrt(19) + 359169 Simplify (-6*(sqrt(104) + sqrt(104)*-1*-4 - -1*(sqrt(104)*-2 - sqrt(104))))/(((sqrt(320)*-2)/sqrt(8))/(sqrt(15)/sqrt(12))). 3*sqrt(13) Simplify (sqrt(704) + (sqrt(704) - (sqrt(704) + 2)))**2*-4 - (4 + -1 + sqrt(704)) - -1*(-6*sqrt(891)*1)**2. 120*sqrt(11) + 29241 Simplify ((sqrt(96)/sqrt(36) + sqrt(240)/(-1*sqrt(10)))*2)/((-2*sqrt(144))/sqrt(12) - 3*(sqrt(588) - sqrt(12))). sqrt(2)/15 Simplify (sqrt(5040) + (3*(sqrt(5040) - (sqrt(5040) + -2*sqrt(5040) + sqrt(5040) - sqrt(5040))) - sqrt(5040)) - 4*-1*sqrt(5040))/(3*sqrt(45)*3*-6). -20*sqrt(7)/27 Simplify (-4 + (((sqrt(99) - -1*sqrt(99)*-5) + sqrt(99))*3)/(4*((sqrt(900) - sqrt(900)*-1) + sqrt(900))) + 1)*5. -15 - 3*sqrt(11)/8 Simplify (5*2*sqrt(117)*-4)/(-6*sqrt(9)*1 + sqrt(144) + -1*sqrt(144)). 20*sqrt(13)/3 Simplify ((sqrt(1539) + ((sqrt(1539) - sqrt(1539)*-1) + sqrt(1539))*3 + 2*sqrt(1539)*-6)**2 - ((-1*sqrt(76) - sqrt(76))*-1)/(sqrt(8)/(sqrt(2)*2))) + -5. -4*sqrt(19) + 6151 Simplify (-1*(-6*(-2*sqrt(1620) - sqrt(1620)) - sqrt(1620) - sqrt(1620)))**2 + (-4*sqrt(20)*6 - ((sqrt(240)/sqrt(6))/sqrt(2) + sqrt(20)))**2. 428240 Simplify (((sqrt(144)/sqrt(8) - sqrt(18))*3 + -3*sqrt(648))/(-1*(sqrt(900) - ((sqrt(900) + 5*sqrt(900) + sqrt(900) - sqrt(900)) + sqrt(900) - sqrt(900)))))**2. 162/625 Simplify (4*sqrt(99)*-1 + sqrt(99) + (sqrt(99) - (-3*sqrt(99) + sqrt(99))*6))/(((sqrt(1089) + (sqrt(1089) + sqrt(1089)*1 - sqrt(1089)))*6 - sqrt(1089))*5). 2*sqrt(11)/121 Simplify -5 + ((-5 + 1 + sqrt(2) + 2)*5 + (-1*(sqrt(14) + -1*sqrt(14)))/(1*sqrt(448)))**2. -100*sqrt(2) + 145 Simplify 5 + ((1 + sqrt(176))*5 + sqrt(176) + 2 + 1*sqrt(176) + ((sqrt(176) - (sqrt(176)*1 + sqrt(176))) + -2 - 5*(0 + sqrt(176))))**2. 40*sqrt(11) + 206 Simplify (4*(4 + (-4*1*sqrt(2299) - sqrt(2299))) + 3*(3 + 0 + sqrt(76) - (sqrt(76) - (sqrt(76) + -1 + sqrt(76)))*5))**2. -3680*sqrt(19) + 643364 Simplify (2*sqrt(352))/(sqrt(20)/(sqrt(40)/sqrt(4)))*-1 - ((sqrt(66)/(sqrt(6)*-2) + 5)**2 + (-2*sqrt(132)*1)/sqrt(12)). -111/4 - sqrt(11) Simplify ((sqrt(343) + 0)**2*-2*3 + ((sqrt(847) - (1 + sqrt(847)))*4)**2*-4)*-1. 2122 Simplify (sqrt(448) - sqrt(7)) + -2 - (sqrt(7) + sqrt(140)/sqrt(5) - sqrt(7)) - ((-3*sqrt(315))/sqrt(9))/sqrt(5)*-6. -13*sqrt(7) - 2 Simplify (sqrt(16)/(2*sqrt(196)))/(-4*sqrt(8)/sqrt(4) - ((sqrt(40)/sqrt(5))/sqrt(4) - sqrt(2)))*3. -3*sqrt(2)/56 Simplify 3 + ((3*sqrt(77)*2*4)/(-1*-6*sqrt(252)))**2. 71/9 Simplify ((4 + -4 + (0 + sqrt(252) + -1 - (sqrt(252) - (2 + -3*sqrt(252)))))*-2*1)**2. -144*sqrt(7) + 9076 Simplify (4*-2*sqrt(95) + (-6*sqrt(95)*-1 - sqrt(95)))/((sqrt(320) - (sqrt(320) + -3*sqrt(320) - sqrt(320))) + (sqrt(20) - sqrt(120)/sqrt(6))). -3*sqrt(19)/32 Simplify 5*(-2*(sqrt(117) + sqrt(117) + 0)*-5*-6 + sqrt(117)*3*4 + (sqrt(117) - -3*sqrt(117) - sqrt(117) - sqrt(117)) + -2)**2. 6360*sqrt(13) + 6573080 Simplify ((sqrt(2754)*-2)/((sqrt(110)/sqrt(5))/sqrt(11)))**2 - (-5 + -1*(sqrt(833) + -1)**2 + -1). -14*sqrt(17) + 6348 Simplify 4 + sqrt(95)/(4*sqrt(5)) + 2 - ((-6*sqrt(95)*-2)/sqrt(180))**2. -70 + sqrt(19)/4 Simplify 2*(2*((0 + sqrt(108) + sqrt(108) - sqrt(108)) + sqrt(108))*-3 + 3)**2 + -3 + 1. -864*sqrt(3) + 31120 Simplify ((2 + -4 + (sqrt(847) - 2*sqrt(847)) + (-2 + (sqrt(847) - sqrt(847)*2) - sqrt(847)) + 1)*-6 + 1)**2. 7524*sqrt(7) + 274789 Simplify -3*(-1*(2*(sqrt(117) - sqrt(117)*-3))/(-1*sqrt(324)) + -5 + -3). -4*sqrt(13) + 24 Simplify 6*(4 + (((-1*sqrt(19) - sqrt(19)) + -1)**2 - sqrt(228)/(sqrt(12) + sqrt(108))) + -1*(-4*sqrt(1900)*-2 - sqrt(1900))). -795*sqrt(19)/2 + 486 Simplify (sqrt(5100) - (((sqrt(5100) - sqrt(5100)*-2)*-3 - sqrt(5100)) + sqrt(5100)) - sqrt(5100))/((sqrt(240)*3)/sqrt(5)) + -3. -3 + 15*sqrt(17)/2 Simplify -4*(-4*-3*sqrt(77)*-2)/(4*sqrt(21)/sqrt(3)*3) + 4. 4 + 8*sqrt(11) Simplify (((sqrt(832) + 0)*-5 + (sqrt(832) - (4*(sqrt(832) - -3*sqrt(832)) - sqrt(832))))**2 - 5*2*(1 + sqrt(832))**2*-5)*3. 2400*sqrt(13) + 1026006 Simplify ((sqrt(190) - -1*-2*sqrt(190)) + -4*sqrt(190)*2)/(((-4*sqrt(180) + sqrt(180))/sqrt(3))/sqrt(6)) + 3. 3 + 3*sqrt(19) Simplify 5 + -5*(2*(-1 + sqrt(500) + 0)*-6)**2*-5. -72000*sqrt(5) + 1803605 Simplify -1*2*(sqrt(76) + sqrt(76) + 2*sqrt(76)*-3 + sqrt(76)*-2*4)/((sqrt(196) - (sqrt(196) - (sqrt(196) + sqrt(196)*-1)*-4)) + sqrt(196))*4. 96*sqrt(19)/7 Simplify (-3 + -5*((-6*(sqrt(110) - (sqrt(110) - 3*sqrt(110))) - sqrt(110))*6)/(-4*(3*sqrt(1000) + sqrt(1000))))**2. 171*sqrt(11)/8 + 38043/256 Simplify sqrt(432) + 0 + 0 + 0 + ((-2 + sqrt(108))**2 - (1 + (sqrt(3) - sqrt(108))**2)). -12*sqrt(3) + 36 Simplify ((sqrt(4) + -3*sqrt(4)*-1 + (sqrt(40)*1)/sqrt(10))/(-5*-6*sqrt(32)) + 5)**2. 5*sqrt(2)/12 + 7201/288 Simplify (sqrt(33) - (sqrt(2112)*-1 - sqrt(2112)) - sqrt(33))/(sqrt(192)*-1) - (sqrt(33)/(sqrt(12)/sqrt(4)) + sqrt(11) + -4 + -1). -4*sqrt(11) + 5 Simplify (((sqrt(77) - sqrt(77)*-2)/sqrt(11) + 2 + sqrt(7) + 3)**2 - (sqrt(616)/(sqrt(11)*1))/(sqrt(16)/(sqrt(4)/sqrt(2)))) + 2. 39*sqrt(7) + 139 Simplify (4 + -5 + 4*((sqrt(11) + sqrt(99)/sqrt(9))*-2)**2 + (sqrt(132) + 1*sqrt(132) - sqrt(132))/sqrt(12)*3)*-2. -1406 - 6*sqrt(11) Simplify (-1*(-4*(-3 + sqrt(832) + -4 + sqrt(832)) + 2 + (sqrt(13) + (3 + sqrt(13))*3)*-1))**2. -2856*sqrt(13) + 60553 Simplify -5 + ((sqrt(30) - sqrt(120)/sqrt(4)*-6) + (sqrt(120) + sqrt(120) + sqrt(120)*-2)/sqrt(4))/((sqrt(96)/(sqrt(2)*3))/sqrt(8)). -5 + 21*sqrt(5) Simplify (((2*sqrt(231)*3)/(sqrt(11) + (sqrt(11) + sqrt(11)*-2)*5 + sqrt(11)))/((4*-2*sqrt(63))/(sqrt(36)/sqrt(36))))**2. 1/48 Simplify -4*((1 + 4*(sqrt(1539) - (1 + sqrt(1539))) + 5*((sqrt(1539) - 2*(sqrt(1539) + 0 - sqrt(1539))) + sqrt(1539)) + 5)**2 + 1). -615620 - 1440*sqrt(19) Simplify sqrt(121)/sqrt(396) + sqrt(33)/(-1*sqrt(3)) - (-1 + sqrt(275) - (sqrt(176)*-3)**2). -35*sqrt(11)/6 + 1585 Simplify (sqrt(24) - sqrt(168)/(sqrt(35)/sqrt(5) + sqrt(7)) - (sqrt(3456) + -2*sqrt(3456) - sqrt(3456)))/((sqrt(448)/sqrt(8))/sqrt(7)*-5). -49*sqrt(3)/10 Simplify (-1*(sqrt(245) - (sqrt(245) + -1 + -4)) - (0 + ((-2*sqrt(60))/sqrt(3))/sqrt(4))**2)*1. -25 Simplify (((sqrt(272) + 5*sqrt(272)*-6)*3)**2 + (-5*(0 + sqrt(272)) + -2*(sqrt(272)*-1 + sqrt(272)))**2)*-2. -4131136 Simplify (3 + -5 + -1*sqrt(76)*-1)**2 + (sqrt(76) - 2*(sqrt(76) + 2*sqrt(76)) - sqrt(76)) + sqrt(76)*3*1. -14*sqrt(19) + 80 Simplify sqrt(6)/(-5*sqrt(3) - sqrt(3)) + (sqrt(88) - sqrt(22))/sqrt(11) + ((2*sqrt(216))/(sqrt(432)*2 - sqrt(432)))**2. 5*sqrt(2)/6 + 2 Simplify ((sqrt(112)/sqrt(8))/sqrt(7) - sqrt(22)/sqrt(396)) + -4*sqrt(6)/(sqrt(24)/(sqrt(8) + sqrt(16)/sqrt(2))). -43*sqrt(2)/6 Simplify (-6*(sqrt(85) + (sqrt(85) - 2*-4*sqrt(85)))*-6)/((sqrt(120)*2)/(sqrt(6) - sqrt(30)/sqrt(5)*-4)). 450*sqrt(17) Simplify ((1*sqrt(68) - sqrt(68))*6 - sqrt(68))/(6*-3*sqrt(4)) - 1*((sqrt(2448) - (5*(sqrt(2448) - (sqrt(2448) - (2*sqrt(2448) - sqrt(2448)))))**2) + 1). -215*sqrt(17)/18 + 61199 Simplify 1 + (-1 + -2*sqrt(108)*6 - (3 + (sqrt(108) + (sqrt(108) - 1*sqrt(108)))**2 + 3)) + -5. -72*sqrt(3) - 119 Simplify ((2*sqrt(2057)*6 - (0 + (2*sqrt(2057) - sqrt(2057)))) + (6*(-1 + sqrt(425)) - (1 + sqrt(425) + 5))
{ "pile_set_name": "DM Mathematics" }
of 4496010. 2, 3, 5, 149867 List the prime factors of 1632399570. 2, 3, 5, 431, 42083 List the prime factors of 488193309. 3, 61, 367, 2423 What are the prime factors of 275995234? 2, 137997617 What are the prime factors of 1288326990? 2, 3, 5, 1277, 33629 What are the prime factors of 235721044? 2, 13, 4533097 What are the prime factors of 69252103? 23, 47, 64063 What are the prime factors of 2187626945? 5, 7, 23, 2717549 What are the prime factors of 1648043942? 2, 824021971 What are the prime factors of 59141477? 59141477 List the prime factors of 2227755510. 2, 3, 5, 19, 229, 5689 What are the prime factors of 5374649219? 5374649219 List the prime factors of 74919935. 5, 17, 881411 List the prime factors of 64132082. 2, 7, 93487 List the prime factors of 4661656482. 2, 3, 7, 269, 412609 What are the prime factors of 9210529? 641, 14369 List the prime factors of 3013517801. 7, 17, 25323679 What are the prime factors of 140730553? 787, 178819 List the prime factors of 82377703. 82377703 What are the prime factors of 1753580866? 2, 876790433 List the prime factors of 92771945. 5, 7, 378661 What are the prime factors of 4330110575? 5, 7, 1493, 16573 List the prime factors of 46531744. 2, 7, 31, 6701 List the prime factors of 945469107. 3, 11, 29, 329317 List the prime factors of 1656074601. 3, 17, 37, 292541 List the prime factors of 1640713941. 3, 60767183 List the prime factors of 262630724. 2, 65657681 List the prime factors of 3674737941. 3, 7, 174987521 What are the prime factors of 44471059? 44471059 What are the prime factors of 49394761? 13, 3799597 What are the prime factors of 280097277? 3, 73, 1278983 List the prime factors of 734487738. 2, 3, 122414623 What are the prime factors of 20223656? 2, 31, 81547 What are the prime factors of 27900098? 2, 13950049 List the prime factors of 602656414. 2, 347, 868381 What are the prime factors of 1651969959? 3, 47, 11716099 List the prime factors of 139383223. 7, 31, 139, 4621 What are the prime factors of 2902801238? 2, 17, 6857, 12451 What are the prime factors of 244748363? 97, 677, 3727 What are the prime factors of 2198665628? 2, 419, 1311853 What are the prime factors of 8883242? 2, 4441621 List the prime factors of 433824846. 2, 3, 7, 13, 794551 List the prime factors of 61033072. 2, 47, 277, 293 What are the prime factors of 1092786641? 443, 2466787 List the prime factors of 4766669652. 2, 3, 2819, 140909 What are the prime factors of 1842952616? 2, 230369077 List the prime factors of 955588559. 955588559 List the prime factors of 50988448. 2, 7, 227627 List the prime factors of 1014206259. 3, 11, 1301, 23623 What are the prime factors of 2439685771? 31, 41, 53, 36217 List the prime factors of 73942605. 3, 5, 11, 17, 29, 101 List the prime factors of 94710845. 5, 18942169 What are the prime factors of 13763768? 2, 1720471 What are the prime factors of 182243273? 383, 475831 List the prime factors of 16695782. 2, 43, 83, 2339 List the prime factors of 5904194463. 3, 19, 41, 280711 List the prime factors of 1463921788. 2, 7, 2371, 22051 List the prime factors of 386552947. 11, 35141177 What are the prime factors of 2672256146? 2, 7, 17, 11227967 What are the prime factors of 824208581? 7, 19, 101, 61357 List the prime factors of 2136780740. 2, 5, 47, 2273171 List the prime factors of 2618661881. 11, 277, 859423 What are the prime factors of 26382326? 2, 167, 78989 List the prime factors of 52866310. 2, 5, 7, 755233 List the prime factors of 11998062. 2, 3, 666559 List the prime factors of 326604598. 2, 47, 3474517 List the prime factors of 140356655. 5, 1163, 24137 What are the prime factors of 40346986? 2, 43, 61, 7691 List the prime factors of 61417135. 5, 13, 5591 What are the prime factors of 50321485? 5, 109, 92333 What are the prime factors of 288731803? 1151, 250853 What are the prime factors of 511229807? 11, 5737, 8101 List the prime factors of 352486102. 2, 41, 89, 48299 What are the prime factors of 122328948? 2, 3, 7, 59, 24683 What are the prime factors of 358881511? 358881511 What are the prime factors of 415013886? 2, 3, 7, 23, 71, 2017 List the prime factors of 319648782. 2, 3, 53274797 What are the prime factors of 188058358? 2, 2971, 31649 What are the prime factors of 12372301? 179, 69119 List the prime factors of 1989723370. 2, 5, 198972337 List the prime factors of 68499584. 2, 31, 61, 283 What are the prime factors of 763104106? 2, 19, 199, 100913 What are the prime factors of 27570893? 7, 3938699 What are the prime factors of 8249818? 2, 4124909 What are the prime factors of 47664353? 11, 863, 5021 List the prime factors of 914235468. 2, 3, 76186289 List the prime factors of 1361948667. 3, 2381, 190669 List the prime factors of 140568607. 547, 256981 List the prime factors of 189714594. 2, 3, 17, 83, 22409 What are the prime factors of 256007153? 97, 421, 6269 List the prime factors of 1062548711. 7, 151792673 What are the prime factors of 1807889513? 61, 29637533 List the prime factors of 101661104. 2, 23, 12011 What are the prime factors of 64245432? 2, 3, 2676893 List the prime factors of 14020927. 113, 127, 977 List the prime factors of 33367634. 2, 17, 53, 18517 List the prime factors of 49794295. 5, 41, 53, 4583 List the prime factors of 1162324291. 53, 21930647 What are the prime factors of 454108005? 3, 5, 13, 41, 6311 List the prime factors of 171945469. 107, 1606967 What are the prime factors of 1168445031? 3, 13, 293, 102253 List the prime factors of 47841381. 3, 7, 269, 941 List the prime factors of 3425793. 3, 7, 37, 4409 List the prime factors of 81713005. 5, 11, 157, 9463 List the prime factors of 46577848. 2, 97, 193, 311 What are the prime factors of 123124637? 883, 139439 What are the prime factors of 56080572? 2, 3, 53, 88177 What are the prime factors of 161950038? 2, 3, 23, 1173551 What are the prime factors of 1004241462? 2, 3, 7, 251, 95261 What are the prime factors of 889789556? 2, 222447389 List the prime factors of 1845506027. 1845506027 What are the prime factors of 1598086581? 3, 7, 13, 17, 53, 73, 89 List the prime factors of 214771392. 2, 3, 11, 11299 What are the prime factors of 515133711? 3, 17, 167, 20161 What are the prime factors of 526421355? 3, 5, 23, 1525859 List the prime factors of 27318312. 2, 3, 7, 67, 809 What are the prime factors of 7714245206? 2, 31033, 124291 List the prime factors of 126107120. 2, 5, 1576339 List the prime factors of 2447121. 3, 239, 3413 List the prime factors of 64401745. 5, 43, 59, 5077 List the prime factors of 2737526. 2, 11, 124433 What are the prime factors of 109901460? 2, 3, 5, 211, 8681 List the prime factors of 778851806. 2, 23, 809, 20929 What are the prime factors of 25880236? 2, 683, 9473 List the prime factors of 5999361. 3, 401, 4987 List the prime factors of 418058622. 2, 3, 31, 749209 What are the prime factors of 125378525? 5, 5015141 List the prime factors of 444781666. 2, 7, 97, 107, 3061 List the prime factors of 55505483. 11, 647, 709 List the prime factors of 39028681. 39028681 List the prime factors of 55459772. 2, 163, 85061 List the prime factors of 813513921. 3, 11, 24651937 What are the prime factors of 1788938825? 5, 19, 647, 5821 What are the prime factors of 88466929? 17, 5203937 What are the prime factors of 2318919386? 2, 7, 23, 89, 80917 List the prime factors of 3737236089. 3, 17, 73279139 What are the prime factors of 507875515? 5, 7, 14510729 List the prime factors of 3456616125. 3, 5, 281, 32803 What are the prime factors of 58184826? 2, 3, 7, 83, 16691 What are the prime factors of 1189859797? 7, 313, 11083 List the prime factors of 28098539. 7, 311, 12907 What are the prime factors of 165947901? 3, 7, 157, 50333 What are the prime factors of 2350891110? 2, 3, 5, 78363037 What are the prime factors of 13329494? 2, 647, 10301 What are the prime factors of 4054498041? 3, 11, 61, 2014157 List the prime factors of 362986460. 2, 5, 23, 789101 List the prime factors of 2638186757. 107, 24655951 List the prime factors of 772330038. 2, 3, 41, 47, 67, 997 List the prime factors of 402401529. 3, 37, 1208413 What are the prime factors of 12625418? 2, 13, 485593 What are the prime factors of 3427667334? 2, 3, 7, 13, 31, 22501 List the prime factors of 739786307. 13,
{ "pile_set_name": "DM Mathematics" }
-22*k**3 - 6 - 25*k**3 - 11*k**2 + 46*k**3 + 11*k. Give s(-12). 6 Let b(t) be the third derivative of 0*t + 0 - 5/6*t**3 - 27*t**2 + 1/24*t**4. Give b(0). -5 Let h(b) = -2*b**3 - 3*b**2 + 7*b + 7. Suppose -23 = 2*o + 2*s + s, -5*o + 5*s = 20. Let d(l) = l**3 + 2*l**2 - 4*l - 4. Let m(c) = o*d(c) - 4*h(c). Give m(3). 9 Suppose -22*y - 40*y = 0. Let u(a) be the second derivative of -1/20*a**5 + y + 0*a**4 - 1/6*a**3 + 4*a**2 - 7*a. What is u(0)? 8 Let i(o) = -o**3 + o + 1. Let b be (-84)/35 - (-1 + 6/10). Let g(y) = -y**2 + 2. Let l(c) = b*g(c) + 2*i(c). Give l(2). -6 Let b(g) = 14*g**2 + 12*g + 21. Let z(o) = 16*o**2 + 13*o + 23. Let m(u) = -7*b(u) + 6*z(u). Calculate m(-3). -9 Suppose -3*k + 8 = -2*d, -3*d = -6*d - 12. Let a be (k + 2 + -3)*10. Let u(t) = t**3 + 9*t**2 - 11*t - 6. Calculate u(a). 4 Suppose 0 = -i - 6 + 13. Let n(r) = -7*r - 5*r**2 - 13*r**2 - 6*r**2 - 8 + 25*r**2. Give n(i). -8 Let l(j) = 2*j**2 - 2*j. Let o be l(-2). Suppose -2*k = -5*a - o, -3*k - 8 = -a - 0*a. Let p(v) = -v**2 - 3*v - 3. Calculate p(a). -7 Let b(i) = -23*i + 5. Let c(l) = -12*l + 3. Let a(r) = -r**3 + 7*r**2 - r + 13. Let u be a(7). Let v(h) = u*b(h) - 11*c(h). Give v(-2). 9 Let n = 54 - 52. Let a(i) = i + i**3 + 24 - 17 + 8*i**n + 8*i. Determine a(-7). -7 Let y(x) = -3 - 11*x + 10*x + 9 + 2. Determine y(12). -4 Let v(u) = -2 + 1 + 2*u**2 - 3*u**2. Suppose 0*n + 4*n = -4, -2*n = 5*a - 38. Suppose a*l = 4*l. Give v(l). -1 Let k be 1 - 12 - (-7 - 2). Let r(z) = -3*z**2 + z + 3. Give r(k). -11 Let l(k) = k**3 + 15*k**2 + 14*k. Let r be l(-14). Suppose -3*d - d + 8 = r. Let y(j) = -j**3 + 2*j - 1. Calculate y(d). -5 Let k(l) = -5*l**2 + 5*l + 2. Suppose -7*j + 3*j = 24. Let r(a) = 0*a**2 + a - 1 - a**2 - 5*a**2 + 5*a**2. Let f(g) = j*r(g) + k(g). Give f(0). 8 Let i be (-7)/(-2) + (-2)/4. Let p(a) = -5*a**2 + a**2 + 5*a**2 - 9*a + 6 + i. Calculate p(7). -5 Let k be (-12)/48 + (-43)/4 + 1. Let x(i) = -i**3 - 10*i**2 + 4. Give x(k). 4 Suppose -4*o = -2*j + 10, 2*j = 3*j + 4*o + 13. Let a(k) = -13*k**2 + k. What is a(j)? -14 Suppose -2*h - 44 + 14 = 4*n, 5*n = h - 20. Let c(v) = v. Let k be c(1). Let r(j) = -6 + 4 - 2*j - k. Give r(h). 7 Suppose 0 = -5*g + 78 + 7. Let z = g - 17. Let j(s) = -39 + 38 + z*s + 4*s. What is j(2)? 7 Suppose 0*y + 21 = 2*y - o, y = -4*o + 15. Let g(b) = 3 + y*b**2 - 17*b**2 - 4*b + 5*b**2. Give g(-5). -2 Let v(h) = -5*h**2 + h - 14. Let u(r) = r**2 + r + 2. Let m(n) = -6*u(n) - v(n). What is m(-8)? -6 Let u(c) = 2*c**2 - 8*c - 20. Let r be u(6). Let d(p) = -p**3 + 2*p**2 + 7*p + 4. Determine d(r). 0 Suppose 4*c - 38 = 5*q, 31 = 5*c - 2*q - 25. Let d(x) = x**2 - 11*x - 14. Calculate d(c). -2 Let q(o) = -o**3 + 7*o**2 - 4*o - 6. Suppose 11*m + 84 = 8*m. Let y = 34 + m. Determine q(y). 6 Let y(o) = 3*o - 9. Let n(x) = 2*x - 10. Let i(k) = 2*n(k) - 3*y(k). Calculate i(-4). 27 Let k(l) = l**3 - 3*l**2 - 10*l - 6. Suppose -27*v = -34*v + 35. Calculate k(v). -6 Let w be (-2)/(((-92)/(-16))/(-23)). Let t(i) = i**2 - 10*i + 19. Calculate t(w). 3 Let m(j) be the second derivative of -j - 7/12*j**4 - 1/40*j**5 + 0*j**2 + 0*j**3 + 1/360*j**6 + 0. Let h(f) be the third derivative of m(f). What is h(-3)? -9 Let f(d) = d**3 + 5*d**2 - 4*d + 1. Suppose 0 = 3*q - 4*k + 2, 64*q + 20 = 60*q + k. Give f(q). -11 Let k be 3 + 1 + (0 - 0). Suppose -k*z = -26 - 98. Let m(p) = -9*p**2 + 2*p**2 - 1 + 6*p - z*p**3 + 32*p**3. Give m(6). -1 Let i(t) be the first derivative of 7 + t**2 + 2/3*t**3 + 1/60*t**5 - 7/24*t**4 + 0*t. Let r(h) be the second derivative of i(h). Determine r(5). -6 Let u = 10 - 7. Suppose u = 3*v - 6. Suppose -v*l + 5 = -4*l. Let j(i) = i - 3. Calculate j(l). -8 Let h(a) be the third derivative of a**6/120 + a**5/20 - a**4/8 + a**2. Suppose 4*g + 0*g + 4 = 0, -573 = 5*p - 2*g. Let w = 111 + p. Give h(w). -4 Let q(d) = -d**2 + d. Let s = -18 - -19. Let y(a) = a**2 - a. Let i(l) = s*q(l) + 2*y(l). Give i(0). 0 Let o = -101 + 190. Let d = o - 91. Let f(s) = 4*s. What is f(d)? -8 Let f(j) = j + 2*j - 2*j. Let v be f(0). Let o(y) = -5 + 3 + v*y + 2*y - 6*y. Determine o(-2). 6 Let h be 0 + 4 - 0/(-10). Let v(d) = 2*d**2 + 3*d. Let o(c) = 9*c**2 + 9*c - 1. Let u(z) = -o(z) + 4*v(z). Determine u(h). -3 Let v(t) be the second derivative of t**3/2 - 11*t**2/2 + 19*t. Give v(6). 7 Let p = 474 + -466. Let t(r) = 4*r - 12. What is t(p)? 20 Let k(v) be the second derivative of 8*v - v**3 - 1/12*v**4 - 1 - 3/2*v**2. Determine k(-6). -3 Let z(y) be the third derivative of 11*y**5/60 + y**4/6 + y**3/2 + 24*y**2. Give z(-2). 39 Let m(i) = 2*i**2 - 6. Let z be m(7). Let q = z - 98. Let d(a) = -a**2 - 5*a + 7. Determine d(q). 1 Let j(f) = -f**3 - 3*f**2 + 5*f + 4. Let u(x) = x**3 - 13*x**2 - 13*x - 18. Suppose 5*v - 67 = -4*h + h, 2*h = -4*v + 54. Let o be u(v). What is j(o)? 0 Let l(n) = -8*n - 160. Let q be l(-20). Let m(x) = -2*x**2 - 2*x - 5. What is m(q)? -5 Suppose 0 = 2*d + 2*v - 4, -d - 3*v = -3*d + 9. Suppose -5*h = 2*a - 24, -4*a + 1 - 5 = -d*h. Let k(z) = -2 - 4*z - a + 3*z. Give k(-7). 3 Let h(i) = i**3 + 3*i**2 - 4*i - 2. Suppose -13*w = -3*w. Suppose 6*s - 16 + 40 = w. Determine h(s). -2 Let l(h) = -7*h - 13. Let w be l(4). Let t = -47 - w. Let v(k) = -3*k**2 + 8*k + 13. Let u(n) = -4*n**2 + 8*n + 14. Let i(x) = -4*u(x) + 5*v(x). Determine i(t). -3 Let d(l) = -6*l**2 + 9*l + 5. Let p(f) = f**2 + f - 1. Let z(r) = d(r) - 4*p(r). Let t(o) = 3*o**2 - 2*o - 3. Let w(c) = -7*t(c) - 2*z(c). Give w(5). -2 Let o(a) = 6515 - 13019 - 4*a + 6514. Calculate o(17). -58 Let j(z) = 0*z - 3*z**2 + 6*z + 4*z**2 - 8*z + 2*z**3 + z + 1. Let f = -3 - -1. Give j(f). -9 Let m = 1889 + -1897. Let j(b) = b**3 + 9*b**2 + 6*b - 14. Calculate j(m). 2 Let d(m) = -m + 7. Suppose 7*k - 19*k + 156 = 0. Calculate d(k). -6 Let s(i) = 3*i**3 + i**2 - 3*i + 1. Let l = -324 - -326. Calculate s(l). 23 Let w be 0 + 3 + 0 + 4. Let m(j) = -13*j**2 + 29*j - 44. Let c(f) = -3*f**2 + 7*f - 10. Let a(p) = 9*c(p) - 2*m(p). Determine a(w). -16 Let b(s) = s + 1. Let q(d) = -d**3 - 3*d**2 - 2*d - 2. Let u(j) = 2*j - 1. Suppose 1 = 3*r + 4. Let o be u(r). Let a be q(o). Give b(a). 5 Let t(v) = -4*v + 40. Let d(u) = -u + 13. Let z(m) = 7*d(m) - 2*t(m). Let s be z(-5). Let x(a) = -a**2 + 5*a + 8. Determine x(s). 2 Let v(m) = -17*m + 56. Let x(j) = -6*j + 19. Let c(u) = -4*v(u) + 11*x(u). Give c(7). -1 Let j(o) be the second derivative of -o**3/6 - 10*o**2 + 813*o. Calculate j(11). -31 Let d(v) be the first derivative of 1 - 5/2*v**2 + v. Determine d(-1). 6 Let z(f) = 2*f**3 - 10*f**2 + 5*f + 4. Let a be z(4). Let s(n) = n**2 + 8*n + 4. Determine s(a). 4 Let p = -1609 + 1615. Let m(c) = c**3 - 5*c**2 - 5*c + 1. Calculate m(p). 7 Let x = 3 - 5. Let d(i) = i - 3. Let k(a) = -17. Let u(w) = -37. Let g(j) = -13*k(j) + 6*u(j). Let l(b) = x*g(b) + d(b). What is l(-6)? -7 Let f(n) = 2*n + 2. Suppose 2*m - 6 = 0, 3*h - 4*h + 50 = 5*m. Let z = 37 - h. What is f(z)? 6 Let o be ((-2)/(-4))/((-98)/1176). Let t(l) = -2*l**3 - l**3 + 7 + 6*l**2 + 4*l**3 + 2*l. What is t(o)? -5 Let w(p) be the second derivative of p**4/12 - 5*p**3/6 + p**2 + 4*p. Let u(c) = -c**3 - 10*c**2 + 22*c - 19. Let m be u(-12). Calculate w(m). 2 Let r(y) = -16 + 10 + 2 + y. Suppose 0 = 2*c - 5*f - 11, 0*f = -4*c - 4*f - 20. Let l = 2 + c. Calculate r(l). -4 Let b(u) = -u + 444*u**3 - 3*u - 888*u**3 + 445*u**3 + 11 + 8*u**2. Determine b(-8). 43 Let j = 120 - 116. Let q(i) = 0 + i**2 + 37*i - 18*i - j - 25*i. Calculate q(7). 3 Let n = -2 + 6. Let z be (0 + 2)/(n/16). Let v(g) = 8*g + 6 + g - z*g. Calculate v(5). 11 Let t(w) = -3*w**3 - 4*w**2 + 5*w - 4. Let b(o) = -o + 1. Let q be ((-18)/12)/((-3)/(-2)). Let x = 0 - 6. Let r(m) = q*t(m) + x*b(m). Calculate r(-2). -12 Let g(m) = m**2 - 3*m + 3. Let q(t) = -t**3 + 12*t**2 - 11*t + 2. Let f be q(11). Let r be 4 - (f + 6)/2 - -3. Give g(r). 3 Let r(o) be the second derivative of o**4/12 - o**3/2 - o**2 - 2*o. Suppose 26*x = 29*x - 9. What is r(x)? -2 Let l(u) = -3*u**2 + 0*u**3 + u**3 - 2*u**2 - 2 - 34*u + 37*u. Calculate l(5). 13 Let d(o) = 12 + 0*o - 4 + o. Suppose -25 = 2*n + 5*m, -n + 4 - 19 = 3*m. What is d(n)? 8 Let o(r) = -r**2 + 3*r - 3. Let u = -72 + 38. Let z = -32 - u. Calculate o(z). -1 Let k(i) = i**3 + 4*i**2 - 4. Let p(t) = t + 1. Let s = -4 - -4. Suppose -q - 3 - 2 = s. Let x
{ "pile_set_name": "DM Mathematics" }
2). Solve 5*l + 9 = 2*q - 9, 0 = 5*q - 5*l - x for q. 4 Suppose b - 11 = -7. Suppose -15 = -3*p, -2*u - b*p + 16 + 14 = 0. Solve h = -0*j + u*j + 24, 4*h = -4 for j. -5 Let k = -1 - -1. Let c = -8 + 12. Suppose 0 = -s + c - k. Solve -s + 19 = -3*y, -y - 5 = 2*o for o. 0 Let j be ((-16)/(-20))/(2/10). Suppose -j*n - 4 = -r, 7*n - 5*r = 3*n - 20. Suppose -5*q + 22 + 3 = 0. Solve -q*p = -n*p + 25, 4*p = f - 21 for f. 1 Let w(q) = -q**3 - 3*q**2 + 5*q + 4. Let j be w(-4). Let t = j - -3. Solve -o - 2*k - 3 = -t*k, 7 = 3*o + 5*k for o. -1 Let q(x) = x + 25. Let f(s) = s + 17. Let p(v) = 7*f(v) - 5*q(v). Let d be p(9). Solve -3*b + 3*z + 6 = -d, 18 = 5*b - z for b. 3 Suppose 0*n + 15 = 3*n. Suppose 2*f - 3*s - 16 = 0, n*f - 6*s - 30 = -s. Solve v = 2*o - 3, -f*v - 6 = 4*o + 8 for v. -5 Suppose 2*q = -q + 12. Suppose 1 = -r - q*l, -r + 4*l = 3*l - 4. Solve -h - r*p = -9, 5 - 1 = -2*h + 5*p for h. 3 Let n be 12/(-1 + 3/1). Solve -4 = -x + 2*u, -n*x + 4*x + 8 = -3*u for x. 4 Suppose 4*h = -4*q - 24, -23 = -q + 5*q + 5*h. Let p = 12 + q. Solve 7*n - 20 = 2*n, -p*n = 2*z - 24 for z. 2 Suppose 2*s - 20 = -2*s. Let i(q) = q**2 + 12*q + 14. Let x be i(-11). Solve s*a + 5*z = 0, 3*z + 0*z - x = 0 for a. -1 Suppose 13*f = 13 + 13. Solve 4*y + 12 = -3*d, -f*d + 6 = -y - y for d. 0 Let m = 4 - -11. Solve n + m = -6*o + 2*o, 3*o - 3 = 4*n for o. -3 Suppose -x - 2*x - 3*a - 3 = 0, -5*a = x + 13. Let f = -10 - -17. Suppose 3*r + f = b, 9 = 3*b + r - 2. Solve -b*y + s = -4*s - 13, 3*y = -4*s + x for y. 2 Suppose 2*l - 20 = -3*a + 12, 3*l = 3. Solve 3*m = -2*s + 23, m + 3*s = 7 + a for m. 5 Suppose a = -2*a + 3. Let g be (-2)/(0 + a) + 4. Suppose x - 10 = -2*t - 1, 0 = t - g. Solve x*q + 5*y - y = 12, 0 = 3*y + 6 for q. 4 Let o(i) = -i - 3. Let y be o(-3). Suppose 0*m + 2*m - 60 = y. Solve 4*a = -0*w + 3*w - 4, -5*w - 5*a = -m for w. 4 Let l = 38 - 34. Solve -3*a - l*c = -0 + 9, 1 = 4*a + c for a. 1 Let a = -26 + 33. Solve -3*k - 5 - 4 = q, q - a = k for k. -4 Let t be (0/1)/(3/(-3)). Suppose 3*o - 48 = 12. Suppose t*w + w - o = 4*z, w = 2*z + 10. Solve 5*u = 5*h + 40, 5*h + 28 = -w*h + 2*u for h. -4 Let f(v) = -v**2 - 5*v - 4. Let p be f(-5). Let b be (15/6)/((-2)/p). Solve -b = 4*c + 3*u, 2*u - 6*u = -c + 13 for c. 1 Suppose 6 = d + 4. Solve 0 = -4*u - 3*b + 10 + 4, -d*b = -4 for u. 2 Suppose -q - 3 - 1 = 0. Let c be q/(-3)*(-7 - -4). Let f be ((-50)/(-8))/((-1)/c). Solve -f = 5*l, -4*s - l + 0*l - 5 = 0 for s. 0 Suppose -41 = -5*z + 59. Suppose 6*j - 8*j = -z. Solve -4*s + 2*v = -s - 4, 0 = 2*v + j for s. -2 Let w be (-24)/2 + -4 + 5. Let b = -6 - w. Solve -2*j - n - 1 = 4, -b = 3*j - n for j. -2 Let w be 123/12 - (-2)/(-8). Suppose -5*t = -2*f + 4, 0*f = -2*t + 5*f - w. Solve 2*v - 13 = -i, 0 = -t*i - i + v + 1 for i. 5 Let b(r) = 3*r**2 - 5*r + 4. Suppose 19 = p + 2*p + 2*g, -p = -g + 2. Let q be b(p). Solve 2*v + q = 4*f + v, -3*f + 5*v = 5 for f. 5 Suppose 3*c - 6*c = 0. Let r be (c/(1 + 2))/2. Solve 2 = -0*m - 2*m, r = 2*s + 3*m + 1 for s. 1 Let t = -3 - -5. Suppose 10*o = 8*o + 10. Solve -q - 7 = -3*z, -t*z = o*q - 0*q + 18 for q. -4 Suppose 4*u - 4*y = 12, u - 3*u = -5*y. Solve -3*t = -v + 6, -3*v + 4 = -0*v + u*t for v. 3 Let h(p) = p**2 + 5*p - 4. Let a be h(-6). Solve v = -0*q + q + 5, -5*q = 4*v - a for v. 3 Let a = -11 + 14. Solve 0*f = -5*n - a*f - 8, 3*n + 4*f - 4 = 0 for n. -4 Let c(p) = 5*p - 6. Let x(l) = l - 1. Let w(o) = c(o) - 4*x(o). Let h be w(8). Solve 18 = -2*u + 4*v, -6 = 2*u - v + h for u. -5 Suppose 0 = -0*f + 3*f - 15. Let m(l) = l - 1. Let r be m(f). Solve 5*x + 5*p - 25 = 3*p, 20 = r*x - 2*p for x. 5 Suppose -4*u + 9 = -3. Suppose 10 = u*p - 5. Suppose -m = 2*m. Solve -c + 5 - 1 = 2*i, -c + p*i - 24 = m for c. -4 Let g(w) = w**3 + 3*w**2 - 6*w - 6. Suppose 0*o - 4 = a - 5*o, -4 = a - 2*o. Let v be g(a). Solve 2*d - v*s = 0, 3*d + 10 = -3*s + s for d. -2 Let g = 5 + -3. Let w(v) = v**3 - 17*v**2 + 17*v - 11. Let s be w(16). Solve s*h = -u + 17, g*u = -2*h + 3 - 1 for h. 4 Suppose -7*l + 30 = -2*l. Suppose m = l - 1. Let p = -3 + m. Solve 4*x + 5*s + 8 = p, 5*s + 5 = -5*x for x. 1 Suppose -5*k - 7 = 7*z - 5*z, -3*z - 3*k + 12 = 0. Suppose 0 = -2*o - 3*s + 15, 0*s - 9 = 2*o - 5*s. Solve 0 = 2*w - o*u + 5*u - 2, 3*u = -z for w. 4 Let r(x) = 3*x**3 + 2*x**2. Let w be r(2). Let o(f) = f**2 - 4*f - 3. Let z be o(5). Solve 4*b = -0*u - 4*u + w, -z*u = 3*b - 20 for u. 4 Suppose -2*b - 8 = -2*l - 2, 2*l + 3*b = 11. Solve -r - l*r = x - 9, -5*x - 9 = -2*r for r. 2 Let w = -7 - -16. Let s = -6 + w. Suppose -v + s = -1. Solve v*u - h + 5 = 0, 0*u + 4*h = -4*u for u. -1 Suppose -5*y + 5*k + 21 = -9, -3*y + 26 = k. Suppose 3*w - h = 7*w + y, 0 = 2*w - 2*h - 6. Let t = w + 4. Solve -4*v = -l, -t*l = -6*l + 3*v for l. 0 Let k = 132 - 130. Solve -k*f + v - 7 = 0, f - v = 2*f - 1 for f. -2 Let c(v) = 2*v**2 - v + 1. Let b be c(1). Solve 29 = -5*l - 4*h, -b*l + 4 = -3*h + 11 for l. -5 Let c(u) = 5*u - u - 2*u. Let q be c(1). Suppose 4*f - 50 = -f. Solve -q*w = 2*k + 2*k, 2*w - k = -f for w. -4 Let c(k) be the first derivative of k**3/3 - 4*k**2 - 6*k + 2. Let v be c(9). Solve 0 = -3*a + 3, -3*b - v*a - 7 = 2*b for b. -2 Let j(u) = u**2 - 5*u + 8. Let l be j(2). Suppose 0 = -3*g + 3*i - 6, 0*i - i = -4. Solve 2 = -g*r, r = -l*m + 6*m - 1 for m. 0 Suppose -o = 2*l - 16, -2*o + 7*o - 110 = 5*l. Suppose 4*a + 0*a = o. Solve -a*v + 2*m + 21 = 0, -2*m - 2*m - 18 = -2*v for v. 3 Let d(r) = -r**3 - 12*r**2 - 11*r + 5. Let w be d(-11). Suppose 2*b + 25 = -w*x, 0*b + 5 = b - x. Solve 5*s + 8 = -4*z - 22, -2*z + 3*s - 4 = b for z. -5 Suppose 4*v + 1 = 5. Let i = 20 - 7. Suppose 4*o = -v + i. Solve l - 3*a = 10, o*l = 4*a + 7 + 3 for l. -2 Let n(m) = m**2 + 8*m + 12. Let v be n(-7). Let s be (-10)/(-3)*3/2. Solve -4 = -2*d - s*x, 3*x + 2*x + 10 = v*d for d. 2 Let a(t) = t**2 - t + 1. Let v be a(1). Let k = 238 - 235. Solve 0*p - 3*p = -k*i - 3, -v = -p - i for p. 1 Let g = -14 - -19. Suppose -g*d = -3*u - 6, -3*d + 15 - 3 = u. Solve x + u*b + 8 = -x, b + 2 = -x for x. 2 Let m be (-1)/(4/(-36)*3). Solve -2*f = -2*b + 5*b, -m*f = 4*b for b. 0 Let p be (-1)/6 - (-546)/36. Let j be (-5)/p + (-13)/(-3). Solve 3*f = t + 4*t + 1, j*t + 5 = f for f. -3 Suppose 5*g - 30 = -g. Solve p - 2 = -0*j - 5*j, 0 = -g*p + j + 10 for p. 2 Let p = 37 - 24. Let t = -2 + 2. Solve j - 2*i + 2 = -t*i, p = -4*j + 3*i for j. -4 Let s = 9 + -7. Let b = -2 - -5. Solve 3*j = -6*r + r + 30, b*r - s*j = -1 for r. 3 Let o = 18 + -15. Let s = -2 - -6. Suppose 4*w - x - 12 = 0, w + 8 = -o*w - s*x. Solve -v + 5*i = 0, 21 = 2*v + w*v + i for v. 5 Let t be (-7)/(-1) + 1 + -5. Solve z - 5*f = -22, -2*z + t*f - 8 = 1 for z. 3 Let j(z) be the first derivative of z**2/2 + 14*z + 6. Let r be j(-10). Solve -5*c + b = 4*b + 16, 0 = r*c + b + 10 for c. -2 Let s be 1 + 1 - (7 + -7). Solve -s*j - 5*f = 15, -2*f - 3 = -j + 12 for j. 5 Let i = -7 - -12. Suppose 20 + 5 = i*p - 5*t, 9 = -3*p - 5*t. Solve p*j = -s - 2, -5*s + 4*j - 6 = -2*s for s. -2 Let x = -1 + 4. Let f(s) = s**3 - 2*s**2 - 2*s - 3. Let r be f(x). Solve -3*v + r*v = 2*u + 15, -u - 3*v = 12 for u. -3 Let j(k) = -5*k**3 + 2*k + 1. Let d be j(-1). Solve 0 = 5*p - d*y + 5, -3*p = -4*y - 3 - 2 for p. -5 Suppose 6 = -2*i + 4*i. Let b = 68 + -64. Solve 2*c - b*u = -8, 0*c - 3*u - 12 = i*c for c. -4 Let c = -13 + 7. Let y = -2 - c. Solve w + 16 = 4*b + 3*w, 0 = 5*b - y*w + 6 for b. 2 Let u be ((-1)/(-2)*0)/(-1). Solve q = 5*m + 3*q + 11, -m - 5*q - 16 = u for m. -1 Let m be ((-13)/2)/((-1)/(-6)). Let r = m - -59. Solve 3*b - 5 = -4*u, -u = 3*u - r for b. -5 Let h be 2/(3 - (-7)/(-3)). Solve z - 8 = 5*o, 0*z + h*o = -z - 8 for z. -2 Let v = -5 + 9. Let p be 26 + -2 + 0 + v. Solve 0 = -x - x - 2, -5*f - p = 3*x for f. -5 Suppose 2*l - 3*w + 7 = -2, 8 = -4*l + 4*w. Solve -7 = -2*m + n, -3*m = -m - l*n - 5 for m. 4 Let l be (-2)/6 - 10/(-3). Let n be (l/6)/(1/10). Suppose n*c = c. Solve -5*w + 5 = -2*t - 4, -4*t + 4*w = c for t. 3 Let x = -11 + 15. Suppose -3 - 5 = -x*l. Let z be (-9)/(-2) - 2/(-4). Solve 9 = -l*v + u, z*v + u = -u - 18 for v. -4 Let l(j) = j**2 - 4*j + 5. Let t be l(3). Suppose -5*p - 15 = -2*s, 6 = -t*s + s - 2*p. Solve 4*v + 0*r + 3*r = 14, s = -5*r + 10 for v. 2 Suppose -4*y - 18 = -5*w, 3*w - 13 - 11 = -2*y. Suppose -w*u + 5*u = -1.
{ "pile_set_name": "DM Mathematics" }
-2)? 8 Let k(h) = h**2 + h. Let z be 0/(-3) - 3/(-1). Determine k(z). 12 Let f(h) be the third derivative of h**7/2520 + h**6/144 + h**5/30 + h**4/8 - 3*h**2. Let d(u) be the second derivative of f(u). Determine d(-5). 4 Let m(v) = v + 8*v**2 + v**2 - 10*v**2. Give m(2). -2 Suppose -3*i - 16 = -5*a, -12*a = -14*a - 4*i - 4. Let t(h) be the second derivative of -1/3*h**3 - 3/2*h**a + 0 + h. Determine t(-2). 1 Suppose -3*o - o = -12. Let q(d) be the first derivative of 1/2*d**2 - o - d + 1/3*d**3 - 3/4*d**4. Determine q(1). -2 Let l(b) = -b**2 + 6*b. Let m(q) be the third derivative of q**5/60 - 7*q**4/24 + 3*q**2. Let g be m(5). Let w be (1/2)/((-1)/g). Determine l(w). 5 Suppose 10 = 2*l + 4*z, 3*l + 6*z = z + 10. Let f(m) = 5*m - 3. Let u(i) = -11*i + 6. Let n(w) = 13*f(w) + 6*u(w). What is n(l)? 2 Let k(q) = -q**2 - q - 8. Let j be k(0). Let a = j + 9. Suppose -4*g + a - 9 = 0. Let v(p) = -3*p**2 - p + 2. Give v(g). -8 Let r(w) = w**3 - w**2 + w - 1. Suppose -4 = 5*l - 9*l. What is r(l)? 0 Let y(d) = 20*d**3 - d**2 + 10*d - 29. Let j(r) = -11*r**3 - 5*r + 15. Let z(b) = -11*j(b) - 6*y(b). Let v = -4 - 3. Determine z(v). -5 Let l(u) = -u**2 - 10*u. Suppose 9 = 6*t - 7*t. Give l(t). 9 Let w(q) = q**2 + 5*q + 2. Let s be w(-6). Let k be (-15)/(4 + -1) - 0. Let u = k + s. Let a(y) = y - 6. What is a(u)? -3 Let d(v) = -v. Suppose -b + 6 - 2 = 0. Let k be d(b). Let j(z) = 4 - 4*z**2 + z**3 + 0*z - 2*z**3 + 2*z. Calculate j(k). -4 Let d = -56 - -89. Let l(u) = d*u**3 - 4*u**2 - 32*u**3 + 2*u + 1 + 7*u**2. Give l(-2). 1 Suppose -12 = -2*i - 2*g - g, -g + 2 = 0. Let q = 15 - 8. Let j(y) = 2*y - 2*y - q*y + y**2 + 4 + 2*y. What is j(i)? -2 Let w(z) = -z**3 + 2*z**2 + 5*z - 2. Suppose -4*l = 4*t + t - 31, -5*l + 23 = t. Give w(t). 4 Suppose -3*s + 9 = -3. Let y = -2 - -7. Let o(z) = -3 - y*z - z**2 + 4*z - s*z. What is o(-4)? 1 Let v(p) = -2*p + 4. Let o(a) = -a**3 + 4*a**2. Let i be o(4). Suppose x = 4 - i. Calculate v(x). -4 Let d(o) = o**2 - 3 + 150*o - 72*o - 78*o. Calculate d(3). 6 Suppose 0 = -2*k - 0*k + 12. Let x(b) = 0 - 4 + 5*b**2 + 2*b**2 - k*b**2. Calculate x(3). 5 Let n(c) = 4*c**3 + 2*c**2 - 1. Let f = -6 - -10. Suppose 4 = -2*a + f*r - 0, 2*a + r - 16 = 0. Suppose -2*d + 13 = -5*t, -5*d + 3*t + 10 = -a*d. Give n(d). -3 Let x(j) = j**3 + 6*j**2 - 17*j - 13. Let o be x(-8). Let d(t) = t**2 + 3*t - 2. What is d(o)? 8 Let u(f) = -f**3 - 7*f**2 + 2*f + 6. Let r(h) = -3*h**3 - 20*h**2 + 5*h + 17. Let w(m) = -4*r(m) + 11*u(m). What is w(-3)? -8 Let n(x) = -x**2 + 3*x - 2. Let t = -67 - -115. Suppose -3*j = -j + t. Let k be (j/15)/(2/(-5)). Determine n(k). -6 Let o(p) = p + 0 + 2*p - 1. Determine o(3). 8 Let w(s) be the third derivative of -s**6/120 - s**5/20 + s**4/24 + 2*s**3/3 - 21*s**2. Give w(-3). 1 Let f(o) be the first derivative of o**2 + 4*o - 5. Give f(-4). -4 Let s(h) = -2*h - 4*h**2 - h**2 + h**3 + 0*h + 7 + 0*h**2. Calculate s(5). -3 Let j(m) be the second derivative of -6*m - 5/6*m**3 - 1/6*m**4 + 0 + 1/2*m**2. Give j(-4). -11 Let s(m) = -3*m**2 - 7*m + 5. Let a(l) = l**2 + 3*l - 2. Let j be (42/(-15) + 1)*-5. Let o(w) = j*a(w) + 4*s(w). Determine o(-2). -8 Suppose -2*s - 6 = -2*d, 0*d - 4*d + 9 = -5*s. Let m(y) = 0*y + y**2 + 3 + d*y - 10*y + 0*y**2. What is m(3)? 0 Suppose 17 = v + 5*a - a, 0 = -2*v - a + 27. Suppose 3*c + 3*w + 4 = v, -11 = -4*c - 5*w. Let g(n) be the first derivative of n**2/2 - n - 159. Determine g(c). 3 Let h(t) = -t**2 - 5*t. Let r(p) = -2*p**2 - 4*p. Let l(o) = 4*h(o) - 5*r(o). Suppose -4*v = 3*w - 6*w + 4, 4*v + 4 = 4*w. Calculate l(v). 6 Let q(p) = -p**2 - 9*p - 8. Let u(v) = -v - 1. Let i(o) = -q(o) + 2*u(o). Suppose -n - 2 = 4. Calculate i(n). 0 Let p(r) = 7*r - 20*r + 2*r + 1. Determine p(-1). 12 Let o be (1 - 10)*(1 - 2). Suppose -w = 2*w - o. Let f(q) = -4*q + 5*q + q**w - 2 - 1 + 4*q**2. Calculate f(-4). -7 Let u(n) = -3 - 7*n**3 - 3*n**2 + 4*n**3 - 2*n + 2*n**3. Determine u(-3). 3 Let p = -26 + 26. Let d(q) be the first derivative of -2/3*q**3 + p*q + 0*q**2 + 1. Determine d(-1). -2 Let v(d) = -d - 1. Let w be v(-6). Suppose -a - 24 = -w*a. Let z(k) = k - 3. Give z(a). 3 Let n(w) = -3*w**3 + w + 5. Let t(m) be the second derivative of -m**5/5 + 3*m**2 + 8*m. Suppose 5*p - 3 = 7. Let v(b) = p*t(b) - 3*n(b). Give v(-2). -5 Suppose 4*b - 15 = 3*x + 2, 0 = -b + 4*x + 14. Suppose -11 = 3*i - 4*w - 3, -4 = i - b*w. Let p(d) = -d**2 + 1 + 0*d + 2*d - d**3 - d. Give p(i). 1 Suppose 4*t - 4*s = 28 - 4, s - 9 = -2*t. Let b(p) = p**3 - 4*p**2 - 5*p - 4. Let d be b(t). Let g(i) = i**2 + 3*i + 6. Determine g(d). 10 Suppose -2*j = -3 - 3, 5*q - 32 = -4*j. Suppose 5*m + 17 = q*v, 4 = -2*v - 2*m - 10. Let n(g) = g**3 + g**2 - 4*g - 3. What is n(v)? 1 Suppose -v + 5 = 2*u, 0 = -v - 4 + 1. Let k = 5 - u. Let r(n) = 2*n**3 - 3*n**3 - 3*n**3. Give r(k). -4 Let w(h) = h**3 - 8*h**2 + 7*h - 1. Let x be w(7). Let p = 1 - x. Let f(s) = -2*s - 5*s**p + 1 + 3*s - s**2. Determine f(-1). -6 Suppose -4*p + 5*p - 2 = 0. Let r(k) = k**p + 4 - 1 - 8 - 5*k + 6. Let g = -12 - -17. Give r(g). 1 Let g(r) be the second derivative of r**4/12 + r**3/2 + r**2/2 - 13*r. Determine g(-1). -1 Let d be (2 + 1 - -1)/(-1). Let g(l) be the first derivative of l**3/3 + 7*l**2/2 + 1. What is g(d)? -12 Let o(i) = -3*i - 1. Let c(t) = 16*t + 6. Let f(s) = -2*c(s) - 11*o(s). Let b = -56 + 53. Determine f(b). -4 Let r(p) = p. Let m(o) be the third derivative of 0 - 2*o**2 + 1/8*o**4 - o**3 + 0*o. Let l(v) = -m(v) + 4*r(v). Give l(0). 6 Let r(h) = -h**2 + 0 - 4*h + 4 - 2*h + 5. Let p(v) = -v**2 - 7*v + 10. Let y(n) = 5*p(n) - 6*r(n). What is y(0)? -4 Let p(g) = 2*g + 2. Suppose 0 = 2*w - 7*w - 15. Give p(w). -4 Let g(j) = -j**2 - 6*j - 6. Let t = -6 + 13. Let v = t - 12. What is g(v)? -1 Suppose 3*t + 4*r = -37, -3*t - 6*r - 41 = -r. Let j = t - -8. Let z(v) = -3*v + 1 + 0*v + v. Give z(j). -1 Let d(n) be the second derivative of -n**4/12 + n**3 - 2*n**2 + 29*n. Calculate d(5). 1 Let h(z) = z**3 - 5*z**2 - 4*z + 5. Let x = -10 + 15. Determine h(x). -15 Let m(i) be the first derivative of -i**3/3 - 5*i**2/2 - 3*i - 5. Calculate m(-5). -3 Suppose 6 = -4*f - 2. Let v be f + 5 - (-1 + 3). Let o(q) = 5*q - 1. What is o(v)? 4 Let o(c) = -c - 4. Let s(b) = -1. Let a(k) = -o(k) + 4*s(k). Give a(-2). -2 Let w(u) = -4*u**3 + 3*u**2 + 4*u. Let t(r) = -r**3 + r**2. Let z(f) = -3*t(f) + w(f). Calculate z(3). -15 Let u be (-1)/(-3)*3*-4. Let p(c) = -c - 3. What is p(u)? 1 Let r(k) = -2*k + 2. Suppose -3*m + 4*m - 4 = 0. Suppose 7 - 23 = -m*f. Give r(f). -6 Let y(h) = 0*h + h + 94 - 93. Let p be y(-4). Let x(f) = f**3 + 3*f**2 - f + 3. Give x(p). 6 Let p be (-6)/(-4)*86/3. Suppose 5*j - p = -3*z, 2*j + 5 - 24 = -3*z. Suppose -3*q + 2*r - j = 0, -4*q + 4*r = -r + 20. Let f(x) = -x**3 + x**2 + 6. Give f(q). 6 Let x = 2 + 12. Suppose 12 = -3*d, -4*s + x + 6 = -4*d. Let o(m) = -s + m**2 - 3*m**2 + 2 - 3*m**2. Determine o(1). -4 Let p(x) = -3*x + 1. Let m(f) = 7*f - 2. Let i(b) = 2*m(b) + 5*p(b). What is i(6)? -5 Let b(a) = -3*a - 4. Let y(z) = 4*z - 1. Let h be y(1). Let n(w) = 6*w - h*w + 6 - 1. Let l(k) = 4*b(k) + 3*n(k). What is l(-3)? 8 Suppose 3*g - 17 = -z, 5*z + 4*g - 30 = -0*g. Let n(q) = -6*q - z + q - 5 + 6*q. Determine n(5). -2 Let j(h) = 7*h + 1. Let r(b) = -6*b + 1. Let t(l) = -4*j(l) - 5*r(l). Let i = 6 - 0. Give t(i). 3 Let b(q) = -5*q + 6. Let u(y) = y**2 - 10*y + 13. Let a(t) = -5*b(t) + 2*u(t). Determine a(-4). 8 Let o(t) = -46*t - 16. Let g(z) = -9*z - 3. Let d = -15 + -1. Let n(k) = d*g(k) + 3*o(k). Give n(1). 6 Let t(u) = -2 - 3 + 2 - 7 + u. Give t(0). -10 Let p(v) be the second derivative of -v**4/12 + v**2/2 - 12*v. What is p(-2)? -3 Let l = -6 + 8. Let q(z) = z**2 - z + l*z - 2 - 7. Suppose -o - 16 = 4*i + 3*o, 4 = 2*i - o. What is q(i)? -9 Let v(y) = y**2 - 4*y + 4. Let c(t) = -t. Suppose -2*b - 4 = 2*b. Let d(n) = b*v(n) - 2*c(n). Calculate d(6). -4 Let t be 1/((-10)/4 + 2). Let j(z) be the second derivative of -3/2*z**2 + 0 - 5/6*z**3 + 4*z. Determine j(t). 7 Let t(m) be the third derivative of 0 - 1/30*m**5 - 3*m**2 - m**3 + 0*m - 7/24*m**4. Calculate t(-4). -10 Let x(q) = 2*q**3 - 2*q**2 + q. Suppose w = -3*w + l - 13, -5*l + 35 = -5*w. What is x(w)? -26 Let j(n) = n - 1. Suppose -2*l - 2*v = 3*l - 8, 3*v - 12 = -2*l. Give j(l). -1 Let f
{ "pile_set_name": "DM Mathematics" }