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scaling_mia_the_pile_00_DM_Mathematics

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is the j'th term of 3912, 7808, 11690, 15552, 19388, 23192, 26958? -j**3 - j**2 + 3906*j + 8 What is the a'th term of 13, 19, 35, 67, 121? a**3 - a**2 + 2*a + 11 What is the i'th term of -15, -29, -43? -14*i - 1 What is the c'th term of -1216, -1232, -1260, -1306, -1376, -1476, -1612? -c**3 - 9*c - 1206 What is the i'th term of 3275, 3268, 3259, 3248, 3235, 3220? -i**2 - 4*i + 3280 What is the o'th term of 27, 58, 109, 180? 10*o**2 + o + 16 What is the t'th term of -66, -122, -152, -144, -86, 34, 228? 2*t**3 + t**2 - 73*t + 4 What is the x'th term of 7923, 7921, 7919, 7917, 7915, 7913? -2*x + 7925 What is the p'th term of -41, -68, -77, -68, -41, 4, 67? 9*p**2 - 54*p + 4 What is the m'th term of 6, 30, 64, 108, 162, 226, 300? 5*m**2 + 9*m - 8 What is the h'th term of 2877, 2878, 2881, 2886, 2893, 2902? h**2 - 2*h + 2878 What is the f'th term of -59, -463, -1563, -3707, -7243, -12519, -19883, -29683? -58*f**3 + 2*f - 3 What is the j'th term of -6, -17, -32, -51, -74? -2*j**2 - 5*j + 1 What is the q'th term of 1019, 2032, 3041, 4046? -2*q**2 + 1019*q + 2 What is the p'th term of -86, -138, -190, -242? -52*p - 34 What is the k'th term of -2674, -2689, -2720, -2773, -2854, -2969? -k**3 - 2*k**2 - 2*k - 2669 What is the u'th term of -77, -131, -185, -239? -54*u - 23 What is the l'th term of -398, -412, -426, -440? -14*l - 384 What is the t'th term of 66, 131, 196, 261, 326? 65*t + 1 What is the y'th term of -799, -799, -797, -793, -787, -779, -769? y**2 - 3*y - 797 What is the h'th term of -3571, -3562, -3541, -3502, -3439, -3346, -3217? h**3 + 2*h - 3574 What is the x'th term of 67, 205, 411, 685, 1027? 34*x**2 + 36*x - 3 What is the m'th term of 32, 24, 10, -10, -36, -68, -106? -3*m**2 + m + 34 What is the h'th term of -125, -257, -393, -533, -677? -2*h**2 - 126*h + 3 What is the z'th term of -1111, -4438, -9983, -17746, -27727, -39926? -1109*z**2 - 2 What is the i'th term of 23, 58, 115, 194, 295, 418, 563? 11*i**2 + 2*i + 10 What is the m'th term of 23, 115, 371, 875, 1711, 2963? 14*m**3 - 2*m**2 + 11 What is the j'th term of 1152, 1170, 1214, 1296, 1428? 2*j**3 + j**2 + j + 1148 What is the g'th term of -167, -263, -527, -1043, -1895, -3167, -4943, -7307? -14*g**3 + 2*g - 155 What is the p'th term of -715, -698, -655, -574, -443, -250, 17, 370? 2*p**3 + p**2 - 718 What is the l'th term of 993, 994, 995, 996, 997? l + 992 What is the f'th term of 40, 35, 16, -23, -88, -185, -320? -f**3 - f**2 + 5*f + 37 What is the b'th term of -140, -139, -138? b - 141 What is the n'th term of 683, 1364, 2045? 681*n + 2 What is the g'th term of 166, 170, 178, 190? 2*g**2 - 2*g + 166 What is the u'th term of -138, -259, -378, -495, -610, -723, -834? u**2 - 124*u - 15 What is the g'th term of 159, 146, 117, 66, -13? -g**3 - 2*g**2 + 162 What is the c'th term of 970, 965, 958, 949, 938, 925? -c**2 - 2*c + 973 What is the z'th term of -20, -45, -66, -77, -72? z**3 - 4*z**2 - 20*z + 3 What is the i'th term of -57, -102, -159, -222, -285, -342, -387? i**3 - 12*i**2 - 16*i - 30 What is the h'th term of -136, -153, -204, -307, -480? -3*h**3 + h**2 + h - 135 What is the z'th term of 137, 130, 119, 104, 85, 62? -2*z**2 - z + 140 What is the n'th term of -1054, -1040, -1022, -1000, -974? 2*n**2 + 8*n - 1064 What is the c'th term of 12, 4, -4, -12, -20? -8*c + 20 What is the j'th term of 201, 218, 249, 300, 377, 486? j**3 + j**2 + 7*j + 192 What is the i'th term of 53, 78, 45, -76, -315? -5*i**3 + i**2 + 57*i What is the q'th term of 1385, 1428, 1459, 1472, 1461, 1420? -q**3 + 50*q + 1336 What is the p'th term of 446, 564, 670, 758, 822, 856, 854, 810? -p**3 + 125*p + 322 What is the y'th term of 331, 661, 991, 1321? 330*y + 1 What is the m'th term of 81, 63, 37, 3, -39, -89, -147? -4*m**2 - 6*m + 91 What is the k'th term of -14, -36, -58, -80, -102? -22*k + 8 What is the c'th term of 996, 1053, 1112, 1173? c**2 + 54*c + 941 What is the g'th term of 86, 178, 274, 374? 2*g**2 + 86*g - 2 What is the a'th term of -18, -37, -66, -111, -178, -273, -402, -571? -a**3 + a**2 - 15*a - 3 What is the u'th term of -1197, -2382, -3567, -4752? -1185*u - 12 What is the x'th term of 978, 981, 986, 993, 1002, 1013? x**2 + 977 What is the w'th term of -440, -423, -388, -329, -240? w**3 + 3*w**2 + w - 445 What is the b'th term of -3631, -7262, -10893, -14524, -18155? -3631*b What is the z'th term of -446, -904, -1362? -458*z + 12 What is the w'th term of -61, -218, -481, -850, -1325, -1906, -2593? -53*w**2 + 2*w - 10 What is the q'th term of -2666, -2667, -2668, -2669, -2670? -q - 2665 What is the n'th term of -280, -562, -854, -1162, -1492, -1850? -n**3 + n**2 - 278*n - 2 What is the g'th term of -3, 6, 17, 30, 45, 62, 81? g**2 + 6*g - 10 What is the h'th term of 275, 553, 833, 1115? h**2 + 275*h - 1 What is the a'th term of -5, 3, 11? 8*a - 13 What is the a'th term of 4, 7, 10, 13? 3*a + 1 What is the l'th term of -566, -1132, -1698, -2264? -566*l What is the m'th term of 0, -20, -68, -156, -296, -500, -780, -1148? -2*m**3 - 2*m**2 + 4 What is the a'th term of 69, 41, 13, -15, -43, -71? -28*a + 97 What is the f'th term of -16921, -16916, -16901, -16870, -16817, -16736? f**3 - f**2 + f - 16922 What is the k'th term of 376, 753, 1130? 377*k - 1 What is the t'th term of 122, 120, 118, 116, 114? -2*t + 124 What is the t'th term of 2, 88, 160, 212, 238, 232? -t**3 - t**2 + 96*t - 92 What is the f'th term of -134, -267, -400, -533, -666? -133*f - 1 What is the w'th term of -55, -84, -115, -148? -w**2 - 26*w - 28 What is the k'th term of 49, 60, 57, 34, -15, -96? -k**3 - k**2 + 21*k + 30 What is the x'th term of 191, 406, 595, 746, 847, 886? -2*x**3 - x**2 + 232*x - 38 What is the v'th term of -276, -553, -830, -1107? -277*v + 1 What is the v'th term of 3670, 3675, 3690, 3721, 3774, 3855, 3970? v**3 - v**2 + v + 3669 What is the q'th term of -5, 35, 119, 253, 443, 695, 1015, 1409? q**3 + 16*q**2 - 15*q - 7 What is the l'th term of 27, 41, 51, 63, 83, 117, 171, 251? l**3 - 8*l**2 + 31*l + 3 What is the q'th term of -2135, -4272, -6409, -8546, -10683, -12820? -2137*q + 2 What is the x'th term of -30, -27, -18, -3, 18, 45, 78? 3*x**2 - 6*x - 27 What is the i'th term of 60, 65, 72, 81, 92, 105? i**2 + 2*i + 57 What is the k'th term of 43, 82, 121, 160, 199? 39*k + 4 What is the f'th term of 31, 269, 913, 2167, 4235, 7321, 11629? 34*f**3 - f**2 + 3*f - 5 What is the q'th term of -3, -17, -33, -51? -q**2 - 11*q + 9 What is the b'th term of 35, 144, 325, 578? 36*b**2 + b - 2 What is the s'th term of 127, 128, 137, 160, 203? s**3 - 2*s**2 + 128 What is the g'th term of 10, 33, 80, 157, 270, 425, 628, 885? g**3 + 6*g**2 - 2*g + 5 What is the v'th term of 19902, 19903, 19904? v + 19901 What is the p'th term of 5609, 11222, 16839, 22460? 2*p**2 + 5607*p What is the c'th term of 6, 16, 24, 30, 34? -c**2 + 13*c - 6 What is the f'th term of -664, -661, -648, -619, -568, -489, -376? f**3 - f**2 - f - 663 What is the y'th term of 310, 306, 302? -4*y + 314 What is the k'th term of -20873, -20870, -20865, -20858, -20849? k**2 - 20874 What is the t'th term of 5, -1, -17, -49, -103? -t**3 + t**2 - 2*t + 7 What is the v'th term of -1545, -1547, -1549, -1551? -2*v - 1543 What is the l'th term of 298, 290, 270, 232, 170, 78, -50, -220? -l**3 - l + 300 What is the u'th term of -35, -62, -81, -92, -95? 4*u**2 - 39*u What is the r'th term of 0, -13, -54, -135, -268, -465, -738, -1099? -2*r**3 - 2*r**2 + 7*r - 3 What is the p'th term of 3790, 3786, 3782? -4*p + 3794 What is the q'th term of -2070, -4142, -6212, -8280? q**2 - 2075*q + 4 What is the u'th term of 404, 812, 1222, 1634, 2048, 2464, 2882? u**2 + 405*u - 2 What is the m'th term of -25, -83, -187, -343, -557, -835, -1183? -m**3 - 17*m**2 - 7 What is the z'th term of 17, 32, 47, 62? 15*z + 2 What is the t'th term of -4560, -9122, -13684, -18246? -4562*t + 2 What is the q'th term of -45, -41, -37, -33, -29, -25? 4*q - 49 What is the d'th term of -115, -216, -317, -418, -519? -101*d - 14 What is the b'th term of 27, 32, 41, 54, 71? 2*b**2 - b + 26 What is the i'th term of -18, -50, -100, -168, -254? -9*i**2 - 5*i - 4 What is the p'th term of 22, 34, 46, 58? 12*p + 10 What is the m'th term of 19, 92, 211, 376, 587? 23*m**2 + 4*m - 8 What is the b'th term of -15
{ "pile_set_name": "DM Mathematics" }
e? (a) 134241 (b) 0.1 (c) 0.4 (d) 0 (e) 25 (f) 2 f Which is the second biggest value? (a) -5/4 (b) -67 (c) 0.3 (d) -3/697 d Which is the biggest value? (a) -6/19 (b) -788 (c) -6 (d) -2/13 d Which is the smallest value? (a) 0.01680158 (b) -0.08 (c) -0.5 c Which is the fourth smallest value? (a) -7281 (b) 78 (c) 2 (d) -4 b What is the second smallest value in -2/9, 64, 142443? 64 What is the second biggest value in -3, -0.008, -2927/3? -3 What is the third smallest value in 1/182, 3.5, 13, -5, -4? 1/182 What is the third smallest value in -9/59, 0.1, -2, -0.3, 2.32? -9/59 What is the third biggest value in -78083, -157, 2/5? -78083 What is the sixth smallest value in 0.3, -4, 2, -3/7, 13851, -2/3? 13851 Which is the second smallest value? (a) -0.1 (b) -127/3 (c) 5 (d) 0.2 (e) 942 (f) -3/4 f What is the smallest value in -0.1, -0.8, -0.0722, -2, 0.82? -2 What is the second biggest value in 140/3489, -2, -3, 1? 140/3489 Which is the sixth biggest value? (a) -4 (b) -5 (c) 5 (d) 3 (e) 57868/15 (f) 4 b Which is the smallest value? (a) 2/11 (b) -27242461 (c) -0.03 (d) -0.3 b Which is the second smallest value? (a) -75 (b) 545/48 (c) -2 c What is the second smallest value in 24.3, 0.4, -0.2, -4, -17, -2/3? -4 What is the biggest value in -11, 0, 0.43, 0.4, -7/8? 0.43 Which is the fifth smallest value? (a) -0.3 (b) 2/227831 (c) 0.3 (d) 1 (e) 0 (f) 12 d Which is the third smallest value? (a) 3/32246 (b) 4 (c) 1/11 b What is the biggest value in -0.1, 0.2, -1/3, -604.51? 0.2 Which is the smallest value? (a) -15 (b) 1/12 (c) -0.2 (d) 12 (e) -1 (f) 0 (g) -14 a What is the second smallest value in -10/4369, -0.052, -0.2? -0.052 What is the sixth smallest value in -31, 16, 5, 0, -11, 4? 16 Which is the smallest value? (a) 3 (b) 0.6 (c) 0.981544 b Which is the smallest value? (a) 0.037 (b) -3336/5 (c) 2/11 (d) 0.2 b What is the fourth biggest value in -1, -0.4, 90, 823, -4/9, -2/3? -4/9 What is the second smallest value in 102, 3, 5499.8? 102 What is the biggest value in -2/7, 4.75, -1/176505, 2/15? 4.75 Which is the biggest value? (a) 135 (b) 3 (c) -0.2 (d) -3 (e) 3/2 (f) -2 (g) 2/119 a What is the second biggest value in -2, -3477, -13/2381? -2 Which is the fourth biggest value? (a) -3/2 (b) 1/6 (c) 0.3 (d) -1 (e) 0.34 (f) 1033.7 b Which is the third biggest value? (a) 2/9 (b) 83/6 (c) -1 (d) 1/11 (e) -0.7 (f) 5 (g) 0.1 a Which is the third smallest value? (a) 39.9 (b) 0 (c) 0.07 (d) -23.07 (e) -0.2 b Which is the seventh biggest value? (a) 3 (b) -0.01 (c) -2 (d) 6.54 (e) 0 (f) -9/46 (g) 1/5 c What is the smallest value in -44, -76/7, -18.7, -2? -44 What is the seventh biggest value in 5, 1, 133, 0.5, 0.1, 14494/7, 4? 0.1 What is the third smallest value in 334, 44592, -1/10? 44592 Which is the fifth biggest value? (a) 4 (b) -0.94 (c) 5 (d) -328 (e) 1/7 (f) -3 (g) 0.2 b Which is the smallest value? (a) 5862 (b) 1.58 (c) 1/6 c What is the third biggest value in -94728, -22.9, 0.5, -4/7? -22.9 What is the second biggest value in 57, -17878, 0.1? 0.1 What is the third biggest value in 1.5, -0.3, -0.21291? -0.3 Which is the fifth smallest value? (a) 15 (b) -2/95 (c) -8 (d) -154 (e) 1 a What is the third smallest value in 2, -7/51, -5, 9, -34, 0.08, -4? -4 What is the sixth biggest value in 1, 0.1, -0.03, -3/659, 0.4, -5/2? -5/2 What is the second smallest value in 36.43, -4, 71? 36.43 Which is the fourth biggest value? (a) -2 (b) -1/4 (c) -19 (d) -1084 (e) -2/25 c Which is the second biggest value? (a) 4/3 (b) 22 (c) 1.31 (d) -456 a Which is the smallest value? (a) 0.4 (b) 103 (c) 133 (d) -0.14 (e) 1 d Which is the third smallest value? (a) 0.4 (b) 1/37951 (c) 0.01 (d) 0.3 (e) 0.02 e What is the second smallest value in -3, -2, -1/1055, 7.41? -2 What is the fifth biggest value in 4/3, 22, 0.1, 0.3, 165? 0.1 What is the second smallest value in -511, -6.7, 4, -5, 3/8, -16? -16 What is the third smallest value in -1/8, 0.05, -1, 18, 5? 0.05 What is the second smallest value in 1.8, -138, 1/20, 2, 152? 1/20 What is the fourth biggest value in -14, 2/23, -6, -0.1, 1240, -1? -1 Which is the fourth biggest value? (a) 5 (b) -14 (c) -0.266 (d) -1 (e) -4356 b Which is the third smallest value? (a) 5/16 (b) 27 (c) 4 (d) 5 (e) 50 (f) -3 c What is the biggest value in 41469, 3, -2/15? 41469 Which is the second biggest value? (a) -1/2 (b) 0.5 (c) 0.1 (d) 8 (e) 1/6 (f) -5 (g) -3/2191 b Which is the second smallest value? (a) 28828 (b) -53.8 (c) -4 c What is the fourth smallest value in 0.1, -4/69, -4, -0.5, 21/11, -0.034? -0.034 Which is the third biggest value? (a) 0.0143 (b) 0.15 (c) 1330 a What is the third biggest value in -4, 0.5, 20, -0.39, -0.0631, -3/5? -0.0631 What is the fourth biggest value in 27292, 1/2, 1, 0.6, 2? 0.6 What is the third biggest value in -3, 1.7, 2, 21, -470? 1.7 Which is the third biggest value? (a) 2 (b) -0.37 (c) 0 (d) -1.42 (e) -2 b Which is the second biggest value? (a) -0.126 (b) 1/7 (c) 7/5 (d) 15 (e) -0.1 c Which is the third biggest value? (a) -6 (b) -52114 (c) 2/45 b Which is the fifth smallest value? (a) -4/9 (b) -3/2 (c) -5 (d) -1/8 (e) 2/75 (f) -23 d Which is the fourth smallest value? (a) -0.1 (b) -0.2 (c) 1.8 (d) 2 (e) -3 (f) 0.4 f Which is the fifth biggest value? (a) -18 (b) 2/17 (c) -2 (d) -3 (e) -0.5 (f) -0.2 (g) 162 c Which is the fifth biggest value? (a) -2/5 (b) 0 (c) 13 (d) -444 (e) -2 (f) 0.4 e What is the fourth smallest value in -4337, 2, -2/7, 5/243? 2 What is the fourth biggest value in 0.5, -0.5, -69, 4911? -69 Which is the fourth smallest value? (a) -2 (b) -20 (c) -1 (d) 1/2 (e) 0.1 (f) -93 (g) -210 a Which is the smallest value? (a) 0.061 (b) 2/11 (c) -6 (d) -2/3 (e) 39 (f) 19 (g) -0.1 c Which is the fifth smallest value? (a) 0.45 (b) -54 (c) -33 (d) 4 (e) 3/2 d What is the second biggest value in -5/138, -0.9, -5561? -0.9 Which is the third smallest value? (a) -20191.023 (b) 2 (c) 2/9 b Which is the sixth smallest value? (a) 0.3 (b) -6 (c) 10 (d) -4120 (e) -1/3 (f) 1 (g) -1 f Which is the seventh biggest value? (a) 7.22 (b) 0.5 (c) -0.4 (d) 0 (e) -3 (f) -9 (g) 12 f What is the second smallest value in -0.4, -6, 0.1, -0.06, -42.7, -0.2? -6 What is the fourth biggest value in 31, 0.4, 4, -2/11, -1/14, -4/7, -2? -1/14 What is the second biggest value in 40, -2/673, 0.017, -2? 0.017 Which is the third biggest value? (a) -1/5 (b) -45 (c) 170.102 (d) 4 a Which is the biggest value? (a) 0.001 (b) -7 (c) 27509 (d) 7/3 c Which is the third biggest value? (a) -0.3 (b) -33 (c) -5113 (d) -16 b What is the third biggest value in -103128, 25, -4? -103128 What is the smallest value in -3/5, -169/149, -0.2, -3, 86.9, 0.4? -3 What is the third smallest value in 4, -7/64, 2.5, -15? 2.5 What is the biggest value in -33/8, 74, 4, -28, -4/17, 0? 74 What is the smallest value in -1/3, 1/8, -3, -9582, -0.2, 0.003? -9582 Which is the second smallest value? (a) -8/3 (b) 1305 (c) -210 a What is the fifth biggest value in -27972, -0.1, -2/25, -0.02, 4? -27972 What is the fourth smallest value in -17, -0.0616, 3, -7/170? 3 What is the biggest value in 1, 0.1, -11769, -2, -152? 1 What is the second smallest value in -22/41, -3.8, 3/26? -22/41 What is the biggest value in 2, -45, -2/3, 7/3, 0.1, 6347? 6347 What is the second smallest value in 494, -19, 2/203? 2/203 What is the second smallest value in -5, -2/13, -5/16, 1776638, 0.4? -5/16 Which is the second biggest value? (a) 3/40 (b) -2351 (c) 129 a What is the third smallest value in -2, 2, 1, 0.5, 4754/75? 1 Which is the smallest value? (a) -0.5 (b) -54034 (c) 16 b What is the fourth smallest value in 917, 0.078, 2/15, 5? 917 Which is the second biggest value? (a) 0 (b) -158.253 (c) -1 (d) 3 (e) 1 (f) 64 d What is the second biggest value in 158, -0.2, 2, 21686? 158 Which is the fourth biggest value? (a) -60 (b) -2/3 (c) 2 (d) -9 (e) -28 e What is the smallest value in 724, 1/32, 43? 1/32 Which is the fourth biggest value? (a) 0.5 (b) 6 (c) 0 (d) 11189/2 (e) 2/11 (f) 1/3 (g) 4 a What is the third smallest value in -524/31, 2/5
{ "pile_set_name": "DM Mathematics" }
by -9 -40504 What is 50 divided by -564? -25/282 Calculate 127800 divided by 60. 2130 What is -11275 divided by -102? 11275/102 Calculate 433443 divided by -6. -144481/2 Divide 143099 by 3. 143099/3 Calculate -2276 divided by 2. -1138 Calculate -77182 divided by 38591. -2 What is -50732 divided by 3? -50732/3 Divide 927530 by 92753. 10 Calculate 61 divided by 2408. 61/2408 What is -826672 divided by -7? 118096 What is 24222 divided by -2? -12111 What is -14391 divided by 1? -14391 Divide -2 by 20632. -1/10316 What is -42840 divided by 3570? -12 1 divided by -171311 -1/171311 Calculate -472684 divided by -118171. 4 Divide -2176236 by -2. 1088118 What is -62898 divided by 6? -10483 Calculate -4951692 divided by -18972. 261 Calculate 30744 divided by 61. 504 What is 19 divided by -22101? -19/22101 Divide 0 by 26404. 0 Calculate -2705480 divided by -2390. 1132 What is 1 divided by -7758? -1/7758 What is 81 divided by 94? 81/94 415380 divided by -20 -20769 What is -134625 divided by -1077? 125 What is 89000 divided by 250? 356 -1194011 divided by 7 -170573 What is -8 divided by 15812? -2/3953 Divide -1488 by 54. -248/9 Calculate 2 divided by -300166. -1/150083 What is -300117 divided by -71? 4227 Calculate 14916 divided by 66. 226 Divide 1 by 11043. 1/11043 Calculate -44686 divided by 22343. -2 Calculate 26892 divided by -13446. -2 Calculate 57184 divided by 32. 1787 What is 7369 divided by -7369? -1 -5 divided by 9734 -5/9734 131 divided by 63 131/63 What is -54 divided by 33690? -9/5615 What is 303936 divided by 4749? 64 Calculate 1517105 divided by -2. -1517105/2 1801400 divided by -4 -450350 What is 154992 divided by 154992? 1 Calculate 4682 divided by -12. -2341/6 -10657 divided by -107 10657/107 Calculate -2 divided by 13892. -1/6946 380081 divided by -2 -380081/2 Divide 149385 by -7. -149385/7 Divide -7619 by -309. 7619/309 -18386 divided by 2 -9193 Calculate -108 divided by -66. 18/11 What is -1023400 divided by -350? 2924 Divide 2 by 9992. 1/4996 407498 divided by 91 4478 24232 divided by -6058 -4 2900 divided by 20 145 What is 15730 divided by 15730? 1 Divide 25 by -51650. -1/2066 What is 1973972 divided by 58058? 34 Divide 1518766 by -2362. -643 4 divided by 3156 1/789 What is -2107962 divided by -4? 1053981/2 Divide -4594135 by 39949. -115 -68731 divided by -221 311 Calculate 138138 divided by -1. -138138 What is -5 divided by 18290? -1/3658 Divide 902 by 370. 451/185 72380 divided by 1034 70 Divide 160 by -15820. -8/791 What is -60684 divided by 12? -5057 Divide 14495 by -1115. -13 Divide 762934 by -1. -762934 Calculate 265826 divided by -11. -24166 Divide 0 by -201461. 0 1 divided by 269088 1/269088 Divide -42021 by -609. 69 -58 divided by 1420 -29/710 Calculate -3619728 divided by -258552. 14 Calculate -62993 divided by 5. -62993/5 Calculate 1050672 divided by 59. 17808 Divide 86 by -4357. -86/4357 Calculate -35081 divided by 35081. -1 Calculate -101 divided by 193. -101/193 Divide 383249 by -437. -877 Divide -144391 by 9. -144391/9 Calculate -93780 divided by 6. -15630 Calculate -1072 divided by -42. 536/21 -42834 divided by -121 354 What is 215 divided by 337? 215/337 Calculate 23 divided by -63819. -23/63819 1 divided by 56203 1/56203 Divide -11775 by -25. 471 21038 divided by -1 -21038 Calculate -1560406 divided by -2. 780203 -29992 divided by 14996 -2 Calculate 427372 divided by -4. -106843 6634800 divided by -3420 -1940 88050 divided by 2 44025 What is 2792 divided by -2? -1396 Calculate -373712 divided by -1. 373712 -392098 divided by -7 56014 What is 1141836 divided by 285459? 4 Divide 313306 by 278. 1127 -2079068 divided by 2 -1039534 Calculate 681 divided by -2208. -227/736 Calculate 54046 divided by 27023. 2 Divide 6 by 1802. 3/901 What is 2 divided by 162093? 2/162093 -185724 divided by -16884 11 Calculate 17836 divided by 91. 196 Divide 125 by 2938. 125/2938 1 divided by -6225 -1/6225 What is -9660 divided by 30? -322 What is 34834 divided by 34834? 1 What is -173 divided by 64? -173/64 Calculate -18900 divided by 252. -75 213 divided by 545 213/545 What is 169442 divided by 6517? 26 Calculate 889008 divided by -6. -148168 -300675 divided by 75 -4009 -110484 divided by 6 -18414 What is 221628 divided by 1679? 132 What is 4 divided by -13560? -1/3390 420084 divided by -18 -23338 Divide -141564 by -11797. 12 -191 divided by -721 191/721 -245452 divided by -2 122726 Calculate 5 divided by -77799. -5/77799 Divide 3 by 221267. 3/221267 Divide -4 by 14030. -2/7015 What is -2 divided by -289196? 1/144598 What is -578 divided by 16? -289/8 What is 1176782 divided by 14351? 82 Calculate 35920 divided by 2. 17960 Calculate 24131 divided by -3. -24131/3 Divide 251458 by -3. -251458/3 Calculate -286372 divided by 2. -143186 What is -1317424 divided by 6? -658712/3 Calculate -1436818 divided by 2. -718409 Calculate -1399635 divided by -8185. 171 Divide 345 by 33. 115/11 156 divided by -2082 -26/347 Divide 780 by -475. -156/95 What is 11631 divided by 2? 11631/2 Calculate -87205 divided by 107. -815 What is 124 divided by -2275? -124/2275 -4741 divided by 9 -4741/9 Divide -880264 by -4. 220066 Divide 154417 by 3. 154417/3 What is 61617 divided by 3243? 19 Divide 4 by 14530. 2/7265 Divide 2 by 12621. 2/12621 Divide 145902 by -6. -24317 -20 divided by 21293 -20/21293 What is 115236 divided by -66? -1746 Divide 43272 by -10818. -4 -3335 divided by -273 3335/273 Calculate 4 divided by -17926. -2/8963 46 divided by -13171 -46/13171 Divide -37122 by -46. 807 What is -8145 divided by -10? 1629/2 Calculate 1265044 divided by 632522. 2 What is -877028 divided by -4? 219257 Calculate -1405 divided by 10. -281/2 What is 1927 divided by -1? -1927 Calculate -14 divided by 5319. -14/5319 Divide -2 by -5249. 2/5249 What is -6977103 divided by -3? 2325701 What is 2 divided by -18810? -1/9405 -9 divided by 24260 -9/24260 9904 divided by 2 4952 Divide -5 by 56894. -5/56894 Calculate -20967 divided by 98. -20967/98 Divide -330 by -925. 66/185 -154168 divided by 38542 -4 -2 divided by 74 -1/37 Divide 55825 by 1925. 29 Divide 5291 by -37. -143 Calculate 54720 divided by 16. 3420 Calculate 1 divided by 6053. 1/6053 -135952 divided by 33988 -4 Divide 21040 by -2104. -10 Divide 4 by 59598. 2/29799 Divide -42 by -7819. 6/1117 -401 divided by -208 401/208 What is 6075 divided by -247? -6075/247 What is -20736 divided by -6912? 3 What is -4091 divided by -4091? 1 Calculate 1585 divided by 1334. 1585/1334 Calculate 62782 divided by 31391. 2 What is -31088 divided by 2? -15544 What is -1073 divided by -3? 1073/3 Divide 0 by 12137. 0 -35 divided by -697 35/697 What is 878 divided by 1431? 878/1431 523 divided by 53 523/53 662 divided by 21 662/21 -3520 divided by 160 -22 Divide 783230 by 5. 156646 Calculate 424185 divided by -3. -141395 -1982 divided by -206 991/103 What is -2 divided by 44047? -2/44047 Divide 1749566 by -2. -874783 Divide 2 by 111441. 2/111441 Divide 148789 by 148789. 1 Calculate -9138839 divided by 4. -9138839/4 Calculate 1 divided by -29595. -1/29595 Calculate 0 divided by -578258. 0 Calculate -23 divided by 7345. -23/7345 Calculate -145947 divided by -48649. 3 Calculate 160992 divided by -416. -387 1005 divided by 1015 201/203 What is 4290 divided by -33? -130 Divide 230206 by -7426. -31 Calculate 21 divided by -6557. -21/6557 Calculate -118 divided by -265. 118/265 Divide -29 by 2861. -29/2861 Calculate 35 divided by -13248. -35/13248 220 divided by 7020 11/351 Divide 4492 by 16. 1123/4 Calculate -555585 divided by 111117. -5 What is -337062 divided by 168531? -2 Calculate -5417 divided by -8. 5417/8 What is -73 divided by -138? 73/138 Calculate -2102971 divided by 1. -2102971 What is 68040 divided by 6? 11340 What is 259506 divided by -28834? -9 Divide -51248 by -12812. 4 -41468 divided by -1481 28 73392 divided by 278 264 Divide 305995 by -5. -61199 Calculate 453 divided by 10363. 453/10363 355 divided by -271 -355/271 -8860 divided by -10 886 Calculate 102237 divided by -1. -102237 Calculate -249246 divided by -681. 366 Calculate -5032143 divided by 373. -13491 Calculate -11088 divided by -1584. 7 What is -69921 divided by -1371? 51 What is 0 divided by -9636? 0 What is 16840 divided by -4? -4210 -303606 divided by -1818 167 749349 d
{ "pile_set_name": "DM Mathematics" }
value in -5, j, 0.3? 0.3 Let y = -4 + 3.8. Let s = -183/4 + 46. Which is the second smallest value? (a) y (b) s (c) -5 a Let k = 16 + -16.4. Which is the second biggest value? (a) -0.01 (b) k (c) -1 b Let z = -2 - 1. Let x be 20/(-4*1)*-1. Suppose x*l + 4 = -1. Which is the biggest value? (a) l (b) z (c) -4 a Let k(z) = 4*z**3 - z**2 + z + 1. Let x be k(-1). Let y = -8.8 + 1.8. Let q = 10 + y. Which is the third smallest value? (a) -5/4 (b) x (c) q c Let j(x) = x**2 - 16*x + 10. Let r be j(15). Which is the second smallest value? (a) 3/8 (b) 4 (c) r (d) -0.01 d Let v be (14/6)/(4/(-3)) - -2. Which is the smallest value? (a) 0.4 (b) v (c) -5 c Let i(n) = -n**2 - 11*n + 5. Suppose z - 21 = -32. Let b be i(z). Let c = -110 + 326/3. What is the third biggest value in 1/3, b, c? c Let u = -0.391 - 0.009. Suppose -z + 1 = 2*s - 1, 2*s + 6 = -3*z. Which is the third smallest value? (a) u (b) z (c) 1 c Let u = -5.94 + 6. Let h = u - 0.06. Let q = -2 + 1.5. Which is the second smallest value? (a) q (b) -1 (c) h a Let f be 1/3*(-648)/(-198). What is the biggest value in f, -4, -0.5, -0.4? f Let c = -6 - -8. Let v = -667/5 - -134. What is the third biggest value in v, c, 0? 0 Let v(k) = k**2 + 6*k + 3. Let z be v(-9). Suppose 14 = -w - w + 4*n, 0 = -5*w - 3*n + z. Which is the third smallest value? (a) w (b) -4 (c) -1/6 a Let o = 0.55 - -0.45. What is the biggest value in 7, -2/3, o? 7 Let o be (-18)/(-21)*(-2)/6. Let y = -13 + 12.7. What is the third biggest value in y, 2/5, o? y Let o = -0.277 + -0.123. Let m = -1.9 - -2. Which is the biggest value? (a) -2 (b) o (c) m c Let z = -13.88 + -0.12. Let m = z + 10. Which is the second biggest value? (a) -1 (b) m (c) 1/2 a Let r be -22*(-41)/182 - -2. Let l = r + -96/13. Let t be 3 + -5 - (1 + 2). Which is the second smallest value? (a) t (b) 1/2 (c) l c Let y = 52 - 65.5. Let j = y + 13. Let z be (-4)/18 - 32/(-63). Which is the third smallest value? (a) 4 (b) z (c) j a Let f = -3 - -1. Suppose 5 - 2 = -3*j. Which is the smallest value? (a) j (b) -1/3 (c) f c Let b = -10 + 5. What is the second biggest value in 1/5, b, 1/3? 1/5 Let q = 8.5 - 8.1. Let p = -0.06 + 5.06. Which is the second biggest value? (a) -0.5 (b) q (c) p b Suppose 0 = -0*u + 3*u - 15. What is the third biggest value in -2, -4, u? -4 Let z be (-5 - -552)/(26/4). Let q = -84 + z. Which is the biggest value? (a) q (b) -5 (c) 0.3 c Let s = 8 - 7.57. Let p = -0.03 + s. Let g = 16.9 + -12.9. Which is the second smallest value? (a) p (b) g (c) -1 a Let p = 820.403 - -40.507. Let y = 865 - p. Let d = y + -0.09. Which is the biggest value? (a) d (b) 5 (c) 4/7 b Let h = -12 - -8. Let l be ((-16)/(-30))/((-10)/15). Let n = 5 + -2. Which is the smallest value? (a) h (b) n (c) l a Let p = 2.13 - 0.13. What is the second smallest value in 1, -0.4, p? 1 Let p = -287/3 + 94. Which is the biggest value? (a) 1/7 (b) 3/4 (c) p (d) 5 d Let z = -0.3 - 0.7. Let a = -12 + 13. What is the second biggest value in z, 0.1, a? 0.1 Let o = 6.15 + -0.15. Let s = -7 + o. Let h = 0.7 + s. What is the smallest value in h, 2, 0.1? h Let y be 72/18 - (-29)/(-16)*2. Which is the third smallest value? (a) y (b) 0.5 (c) 1/14 b Let u = -0.02 - 0.02. Let m = -3.96 + u. Let z = m + 5. Which is the third smallest value? (a) 2/3 (b) -1/4 (c) z c Let u = 0.45 + -0.05. Let d = 4 - -1. What is the smallest value in d, u, 0? 0 Let p = 31 + -31. What is the second smallest value in -2/9, -3/4, p? -2/9 Let f = 1 - 7. Let v be 2/f*(-14 - -2). Suppose -v*d + 3*m + 8 = 0, 3*d - 27 = -5*m + 8. Which is the biggest value? (a) 0 (b) d (c) 2 b Let q = -7.85 - 0.15. Let i = -6 - q. Let k be (7 - 4) + 11/(-3). Which is the biggest value? (a) k (b) 0.1 (c) i c Let i = 24 + -23.97. What is the second biggest value in i, 2, -1? i Suppose -o - 3*o + 56 = 0. Let y be o/(-3) + (-9)/27. Which is the third smallest value? (a) y (b) 0.2 (c) 6 c Let v = 0.4 - 0.2. Let i = -88 + 618/7. Let c = -2/9 + -22/63. What is the third smallest value in c, i, v? i Let u be 12/(-66) + (-1365)/(-66). Let r = -22 + u. Let t be 0/(-1) - 2/(-12). Which is the second smallest value? (a) r (b) t (c) -3 a Let d = 0.01 + 3.99. Let z = 282 - 285. What is the smallest value in d, z, 0.06? z Let x = -7 + 0. Let k = -2 - x. Let m = 0.8 + 0.2. What is the biggest value in k, 1/6, m? k Let r = -16 - -20. Let w(d) = 2*d + 7. Let s be w(-6). Which is the biggest value? (a) s (b) -4/3 (c) r c Let o be (-36)/15 - (1 - 3). Which is the third biggest value? (a) o (b) -0.3 (c) -4/7 c Let g = 15 - 12. Which is the second biggest value? (a) -3 (b) g (c) 1/10 c Let c = 0.89 - -0.11. Let m = c + -1.4. Let p = -0.3 + 0.2. What is the third biggest value in m, p, 3? m Let x = 6.4 - 6.4. What is the second smallest value in 3, -12, x? x Let q = 3.91 - -0.09. Let v = q - 1. Let f = -0.05 - 4.95. What is the smallest value in f, 0.1, v? f Let m = 0 - 4. Let q = 3 + m. Let z be (-2 - 108/(-51))*1. What is the third biggest value in z, -4, q? -4 Let v be 152/36 + -2 + -2. Which is the third smallest value? (a) 0.1 (b) -2 (c) v (d) -4 a Let l = 0.38 + 4.62. What is the smallest value in 7/4, -1/4, l? -1/4 Let t(x) = -x**2 + 5*x - 2. Let d be t(4). Suppose 6 + 0 = -d*q. Let o be 21/(-9) + (2 - 0). What is the third smallest value in 2, q, o? 2 Suppose 2*j - 10 = 5*w, 0 = -4*w - 0*w - 2*j - 26. Let o = -7 - w. Let i = -2 - -1. Which is the third biggest value? (a) i (b) o (c) -3/2 b Let g = -817/6 + 136. Let d = 6 + -5.6. Let j = d - 0.1. What is the third biggest value in 5, j, g? g Let i = 0.3 + 4.7. Let k = -1266/35 - -183/5. What is the biggest value in i, k, -0.04? i Suppose -j + 3 = -5*q, -5*q - 5*j - 19 = -4. What is the fourth biggest value in 0.5, 4, 2/11, q? q Let l be (-1)/12*(-16)/6. What is the smallest value in -2, 0, l? -2 Let p = 0.5 - 0.54. Let t = -0.24 - p. Let x = 1.8 - t. What is the third smallest value in x, -2, -0.5? x Let v = 1.065 + -0.065. Suppose 0 = c - 0*c + 3. What is the smallest value in 1/3, c, v? c Let s(r) = -5*r**2 - 2*r - 1. Let n be s(-1). Let i be (8/20)/(n/(-10)). Which is the third biggest value? (a) -0.4 (b) 0.3 (c) i a Suppose -3*l - 8 = -4*l. Let m be (5/((-20)/l))/25. Which is the second smallest value? (a) m (b) -1 (c) 6/5 a Let r = -7412/19 + 390. Let d = 1 - 1. Let o = 7 - d. Which is the third biggest value? (a) 0.4 (b) o (c) r c Let j = 0.042 + 0.358. Let p = 3.16 + -6.2. Let l = p + 0.04. What is the third biggest value in -0.4, l, j? l Let z(y) = -y - 5. Let m be z(-8). Let q be (2 - 4) + 14/m. Let d = q + -77/30. What is the biggest value in d, -0.2, -2? d Let v(j) = j**3 - 3*j**2 - 3*j + 5. Let y be v(3). Which is the smallest value? (a) 2/7 (b) 1/3 (c) y c Let i = 69 + -78.4. Let l = i - -9. Which is the second smallest value? (a) 4 (b) -1/2 (c) l c Let a = -5276/115 - -126/23. Let r = a + 41. What is the second biggest value in r, 3, -0.5? r Let i = -2 - -4. Let t = 0.13 - -0.07. Which is the second smallest value? (a) -0.1 (b) i (c) t c Let i = 31 + -30. What is the smallest value in i, -1/4, -5/4? -5/4 Let p = -12 - -13. What is the fourth smallest value in -0.4, p, 2, -0.5? 2 Let k = 0.04 + 3.96. Let a(d) = -d - 1. Suppose 0 = x - 0*x + 3. Let j be a(x). What is the second smallest value in 0.1, k, j? j Let f = 0.2 + -0.4. Let d = -1 + 1. Let r = f - d. Which is the third smallest value? (a) r (b) 0.4 (c) -3/5 b Let d(z) = -z - 8. Let s be d(-5). Which is the smallest value? (a) -0.5 (b) -1 (c) s c Let l be 2/5 - (-23)/5. Let v be 5 + (0 - (-285)/(-55)). What is the third biggest value in 0, l, v? v Let l = -154/9 + 17. Which is the third biggest value? (a) l (b) -0.2 (c) 3/7 b Let z = -0.399 + -0.101. Let l be 3/(-24)*(1 - -1). Which is the smallest value? (a) -2/3 (b) z (c) l a Let r be ((-23)/(-7) - 3)/1. Let y = 12 - 8. Let q = y + -9. Which is the second smallest value? (a) r (b) 1 (c) q a Let r = 106.4 + -107. Let b = -0.2 - -1.2. Let f = r + b. What is the smallest value in 2/7, -2/15, f? -2/15 Let k = 23.6 + -41.5. Let f = -16.87 - k. Let t = -0.03 + f. What is the smallest value in -1, 2/7, t? -1 Let l = 8 + -6. Let d = 807570/6347 - 84/577. Let y = d
{ "pile_set_name": "DM Mathematics" }
give g. -30 Express (4*f**2 + 0*f**2 - 2*f**2)*(3 - 3 + 2*f) + (-5*f + 4*f - 5*f)*(-f**2 + f**2 + f**2) in the form l + c*f**2 + j*f + g*f**3 and give l. 0 Express 1 + 16*m - 15*m - 2 - 3 in the form y + l*m and give l. 1 Express 4 + 0*t**2 + 3*t**4 - 485*t**3 - t**2 + 487*t**3 as l*t**4 + c*t + b*t**3 + n*t**2 + s and give b. 2 Rearrange (7 - 1 + 0)*(-s**4 + 9*s**4 - s**4) to the form x*s**3 + m + r*s**2 + o*s**4 + q*s and give o. 42 Rearrange 0*f**3 - 3*f**4 - 2 + 3*f**2 + 3*f**3 - 3*f**3 to the form y*f + v + j*f**2 + s*f**3 + z*f**4 and give v. -2 Rearrange (0*t**2 + 5*t**2 - 2*t**2 + (-2 + 1 + 3)*(t - t + 2*t**2) + 0*t**2 - 2*t**2 + 3*t**2)*(-5 + 5 + 3) to the form m*t**2 + b*t + z and give m. 24 Rearrange (1 - 3 + 3)*(2 - 2*q**2 - 2)*(-6*q**2 - 3*q**2 - 2*q**2) to b*q**2 + z*q**4 + f*q + t + d*q**3 and give z. 22 Rearrange (0 + 2 - 1 + (2 + 0 - 1)*(7 - 3 - 2))*(-3*u + 3*u - 2*u)*(3*u + 0*u + 0*u) to k + v*u**2 + s*u and give v. -18 Rearrange v**2 - 48*v + 48*v + 19 + v**2 to w*v**2 + y*v + u and give w. 2 Rearrange 2*p - 8*p**3 + 11*p**3 - 6*p to the form d*p**3 + n*p**2 + x*p + a and give d. 3 Express -4*y + 5*y - 2*y + 0*y as p*y + k and give p. -1 Express -3 + 5*o**4 + 4 + 58*o**3 - 60*o**3 in the form g + c*o**3 + d*o + y*o**4 + t*o**2 and give y. 5 Express 11*h**2 - 19*h**2 + 6*h**3 + 9*h**2 + (-2*h - 4*h + 4*h)*(-3*h - 3*h**2 + 3*h) as k*h**3 + v + l*h**2 + r*h and give l. 1 Rearrange (0 + 1 - 2 - 6 + 1 + 1 + (-1 + 4 - 4)*(-4 + 1 + 4))*(-14*o**2 - 480*o + 480*o) to l + m*o**2 + c*o and give m. 84 Rearrange -157*q - 187*q + 392*q to the form v + u*q and give u. 48 Express (3*n - n - 4*n)*(-52 + 4 - 16 + 0 - 1 + 3 + (-2 + 6 - 2)*(-4 + 1 + 2)) in the form p*n + c and give p. 128 Rearrange (5 + 0 + 3)*(0*q - q + 2*q)*(2 + q - 2) to u + t*q**2 + a*q and give t. 8 Express (0*l**2 - 3*l**2 + 7*l**2)*(-1 + 3 - 1)*(9*l - 9 + 9) in the form f + k*l**3 + w*l + z*l**2 and give k. 36 Express (-12 + 5 + 11)*(-1 + 3 - 4)*(-4 + 0 + 3)*(-x**2 - 3*x**2 + 2*x**2) as b + z*x + n*x**2 and give n. -16 Express -15*n**2 - n**2 - n**2 + 87*n**3 - 89*n**3 in the form f + y*n**3 + t*n + g*n**2 and give g. -17 Rearrange 0*g**3 - g**3 + 8 + 2*g**4 + 0*g**2 + 0*g**2 to the form h + t*g**2 + j*g**4 + k*g + x*g**3 and give h. 8 Express -h**2 - h**2 - 3*h + 2*h + 0*h in the form u*h**2 + v*h + b and give v. -1 Express -6 + 4*y**2 + 90*y**3 - 90*y**3 - 2*y**2 - 2*y + 2*y**4 in the form z*y**3 + b + s*y + x*y**4 + q*y**2 and give q. 2 Express (-2*j**2 + 2*j**2 + j**2)*(5*j + 0*j - 3*j) + (5*j**2 + 3*j**2 + 5*j**2)*(4 - j - 4) in the form l*j**2 + d*j**3 + x*j + i and give i. 0 Rearrange 2*d**2 - 5*d**3 + 4 - 3*d**2 + 13*d**3 - 5*d**3 to q*d**3 + f*d**2 + p*d + c and give c. 4 Rearrange (-o + 0*o + 0*o)*(915 - 915 - 112*o**3) to the form q + h*o**2 + z*o**4 + d*o + c*o**3 and give z. 112 Rearrange -10 - 5 - n - 22 + 1 to h + j*n and give j. -1 Rearrange -3*i - 5*i + i + 2*i to v + u*i and give v. 0 Express 5*w + 25*w + w - w in the form c + p*w and give p. 30 Rearrange 82*a - 237*a**2 + 468*a**2 - 232*a**2 to z*a + v*a**2 + b and give z. 82 Express -16 + l**2 + 0*l**2 - 2*l**2 + 1 - l**2 - 1 + (4*l - 4*l - 2*l)*(2*l - 1 + 1) in the form q + n*l + w*l**2 and give w. -6 Rearrange 2 - 2*q**3 + q**3 - 5*q**2 + 3*q**3 to g*q**3 + p + l*q**2 + y*q and give p. 2 Rearrange (-7*s + 3 - 3 + 1)*(-4*s**3 + s - s) to g*s**2 + t*s**3 + k + v*s + d*s**4 and give t. -4 Express (-38*o + 58 - 58 + 2*o + 3 - 3 + (4 + 1 - 4)*(5*o - o - 5*o))*(-o**2 + o**2 - 2*o**3) in the form v + c*o**4 + h*o + i*o**3 + r*o**2 and give c. 74 Express 3*k**3 + 2*k - 3*k + k**4 - k**3 - 2*k as g + m*k + h*k**2 + w*k**3 + r*k**4 and give m. -3 Express 0*t - 3*t + 4*t**2 + t - 4*t in the form r*t + c + y*t**2 and give y. 4 Rearrange (43 - 17 + 23)*(2*s**2 - 2*s**2 - 2*s**2) to b + n*s + m*s**2 and give m. -98 Express (-z**2 - z**2 + 3*z**2 + (-2*z + 2*z + 2*z)*(0*z + 5*z - 4*z) - z**2 + 1 - 1)*(0 + 4 + 0) as q + a*z + c*z**2 and give c. 8 Express 7*p + 2*p + 10*p + 4*p as h + m*p and give m. 23 Express -7*y**2 - 3 + 3 + 0*y**2 - y**2 + 2*y**2 + (0 + 0 - y)*(y + 0*y + y) + y**2 - 4*y**2 + 7*y**2 in the form g*y + b + a*y**2 and give a. -4 Rearrange -2*x + 4*x - 2*x - 4*x to i + s*x and give s. -4 Rearrange (0*c**2 + c**2 + 0*c**2)*(-111 + 111 - 33*c) to n*c**2 + j*c**3 + a*c + r and give j. -33 Express 4*y**4 - 2*y - 2*y**4 + 0*y - 10 as m + b*y + n*y**2 + g*y**4 + r*y**3 and give b. -2 Express 10*p - 2*p**3 + 1 - p**2 - 10*p + 3*p**4 - 4*p**4 in the form x*p**3 + l*p**2 + c + q*p + v*p**4 and give x. -2 Rearrange -2*j**2 + 0*j**2 - 2*j - 22*j**3 + j**4 - 2*j**4 + 7*j**3 to the form r*j**2 + a + s*j + n*j**3 + g*j**4 and give g. -1 Rearrange (y**2 + 0 + 0)*(-6 + 4 - 4)*(-8*y + 19*y - 9*y + 4) to the form r*y + h*y**2 + c*y**3 + b and give c. -12 Rearrange 3*a + a**3 - 3*a + (3*a**3 - 2*a**3 - 6*a**3)*(-3 + 0 + 1) + 0*a**2 + 0*a**2 - 3*a**3 to w*a**3 + q*a + m*a**2 + u and give q. 0 Express (-u + 3 - 3)*(-58 - 43 - 81) as r + a*u and give r. 0 Rearrange (5 - 8 - 5)*(-3 + 3 - 1)*(-3*z**2 + 5*z**2 - z**2) to o*z + m*z**2 + c and give m. 8 Rearrange 2*v**4 + 7 + 3*v**4 - 3*v**4 + (0*v + 0*v - 3*v)*(-v**3 + 3*v**3 + v**3) + 2*v**4 + 0*v**4 + 0*v**4 to d*v**2 + u*v**3 + s*v**4 + o + h*v and give o. 7 Express (0*p**4 - p**4 + 0*p**4)*(9 - 1 - 1) - p**4 - p**4 + 3*p**4 as u + m*p + d*p**4 + x*p**2 + w*p**3 and give x. 0 Express (-v - 3*v + 3*v)*(0*v + 0*v + 2*v) + (4 + 1 - 7)*((-2*v**2 + 0*v + 0*v)*(-4 + 4 + 1) + 9*v**2 - 14 + 14) as f*v + q + p*v**2 and give p. -16 Rearrange (-4*j - 2 + 2)*(1 - 2 + 2)*(-3 + 0 + 6) + 3 - j - 3 + (4 + 0 - 2)*(-3*j + j + j) to the form p*j + x and give p. -15 Rearrange (-4*a**3 - a**3 + 4*a**3)*(-1 - a + 1) + (2*a + 0*a - a)*(3*a**3 - 2*a**3 - 5*a**3) to r*a**2 + d + x*a + i*a**4 + l*a**3 and give r. 0 Express -2*o**3 - 1 + 0*o + 0 - o + 3 as x*o**3 + f*o + p + j*o**2 and give f. -1 Express (-19*y + 21 - 21)*(-2*y**2 + 0*y**2 + 0*y**2) + 1 - 2*y**3 - 1 in the form a + z*y + h*y**3 + p*y**2 and give h. 36 Rearrange 4*v + v - 4*v to c + n*v and give n. 1 Rearrange (-8*q**3 - 5*q**3 + 6*q**3)*(-2*q - 13 + 11 + 15) to the form u*q**2 + l*q**3 + g + h*q**4 + z*q and give l. -91 Rearrange -6*a**2 - a - 4*a**2 - 4*a + 2*a**2 to the form m*a + j + t*a**2 and give t. -8 Rearrange 0*v**2 + 5*v**2 + 5*v**2 + v**2 to n*v**2 + j + l*v and give n. 11 Rearrange -259*d**2 - 7*d**3 + 260*d**2 - 2*d**3 - 3*d - 2 to z + x*d**3 + c*d + v*d**2 and give z. -2 Rearrange (-1 + 4 - 18)*(0*p**3 + 11*p**3 - 5*p**3) to the form y*p**3 + r*p + l + h*p**2 and give y. -90 Express 0 + 0*q + 1 + q**3 - q + 2 in the form u + m*q + g*q**3 + z*q**2 and give u. 3 Express (-3 - 38*n + 0 + 41*n)*(0 + 6 - 3) in the form f + t*n and give f. -9 Rearrange 58*o**2 - 58*o**2 - 2 - 3*o**3 to t + x*o**2 + i*o**3 + j*o and give i. -3 Express -u**2 - 10 + 5*u**2 - 5*u**2 + u**3 + 4 in the form k*u + g + r*u**2 + t*u**3 and give t. 1 Express -17 + 17 + 28*q as m + a*q and give a. 28 Express (2 - 5 + 2)*(-2*y**2 + 3*y**2 - 3*y**2) + 4*y**2 - 6*y**2 + 4*y**2 - 20 + 20 + 13*y**2 in the form f*y**2 + o*y + w and give f. 17 Express (2*k - k - 12*k + 2)*(-k + 2*k + 2*k) as b*k + t + m*k**2 and give m. -33 Rearrange -3*x**2 - x**3 - x**3 + 7*x**2 + 5*x**3 to n*x + u + z*x**3 + l*x**2 and give l. 4 Express (0*g**2 - g**2 + 2*g**2)*(2*g - 4*g + g) - 10 - 6*g**3 + 35*g + 36*g - 70*g in the form p*g**2 + x*g + k*g**3 + y and give x. 1 Express (-3 - 3 + 5)*(-5*j**4 + j**4 + 3*j**4) + (-j**3 - j**3 + 6*j**3)*(0*j + 0*j + 2*j) as g*j**4 + q*j**3 + b*j + s + d*j**2 and give g. 9 Rearrange 2*i**2 + 0*i**2 + 0*i**2 - i**3 + (-9*i - 9*i + 13*i)*(3*i**2 + 3*i**2 - 4*i**2) - i**3 + i - i to the form b*i + d*i**3 + u*i**2 + c and give b. 0 Rearrange 7*p + p**3 + 9*p + 2*p - 9 - 10*p to the form k*p**3 + f*p + o*p**2 + u and give u. -9 Express 3*j**2 - j**3 - 6*j**2 + j + 14*j**2 + 0*j**3 in the form n + w*j**2 + k*j + t*j**3 and give t. -1 Rearrange -f**2 - 2 - 5*f**2 - f**3 + 2*f**3 + 5*f**2 to the form n*f + i + s*f**3 + z*f**2 and give i. -2 Express -2 - 5*g**2 + 3 + 6*g**2 - 2*g**2 as k*g**2 + r + i*g and give r. 1 Rearrange (-1 + 3*p + 1)*(-2 + 5 - 1 + (-2 + 5 - 1)*(2 - 4 + 0) + 4 + 0 - 2 - 1 + 3 - 3 + 4 + 14 + 23)*(0 + 2 - 1) to n + f*p and gi
{ "pile_set_name": "DM Mathematics" }
ithout replacement from mmmmbb. 1/15 What is prob of sequence lv when two letters picked without replacement from {l: 1, v: 3, u: 5, e: 1, n: 1}? 3/110 Three letters picked without replacement from {j: 1, n: 4, o: 3, y: 2, m: 1}. Give prob of sequence yjo. 1/165 Calculate prob of sequence iiii when four letters picked without replacement from {i: 9}. 1 Three letters picked without replacement from {h: 2, k: 1, p: 3, l: 10, f: 2, m: 1}. Give prob of sequence pkf. 1/969 Three letters picked without replacement from quuxxqrfrerxufr. Give prob of sequence rxr. 6/455 Two letters picked without replacement from uubyuyunpkuyuuuk. Give prob of sequence ky. 1/40 Three letters picked without replacement from ddeqdaded. Give prob of sequence dqa. 5/504 Four letters picked without replacement from {p: 6, g: 7, b: 2}. What is prob of sequence bbgp? 1/390 Three letters picked without replacement from odjojcx. What is prob of sequence cdj? 1/105 Three letters picked without replacement from ohoohophodpdiod. What is prob of sequence opo? 2/91 Calculate prob of sequence fifi when four letters picked without replacement from {i: 9, f: 2}. 1/55 Calculate prob of sequence tuvt when four letters picked without replacement from {e: 3, t: 2, u: 1, q: 7, v: 6}. 1/7752 What is prob of sequence hi when two letters picked without replacement from {h: 1, o: 1, z: 1, i: 1, r: 1}? 1/20 Calculate prob of sequence krr when three letters picked without replacement from {r: 2, k: 11}. 1/78 Calculate prob of sequence ybby when four letters picked without replacement from ybbyyby. 3/35 Calculate prob of sequence tty when three letters picked without replacement from wtttwttwtttwwwwywvt. 4/323 What is prob of sequence tij when three letters picked without replacement from {s: 4, j: 5, i: 2, t: 4}? 4/273 What is prob of sequence ajqw when four letters picked without replacement from {j: 2, a: 1, e: 1, w: 2, k: 1, q: 1}? 1/420 What is prob of sequence hjhh when four letters picked without replacement from hjjhjjh? 1/35 Three letters picked without replacement from bbxbnbnxxxxnbxbnxnb. What is prob of sequence bxn? 245/5814 Four letters picked without replacement from ssfmsmffsffmfmff. Give prob of sequence fsss. 2/455 Four letters picked without replacement from vszvvvzvvzvsvzz. What is prob of sequence zvsv? 2/117 Two letters picked without replacement from kmkmkakaakkk. What is prob of sequence am? 1/22 What is prob of sequence vr when two letters picked without replacement from vvr? 1/3 What is prob of sequence did when three letters picked without replacement from {d: 4, i: 6}? 1/10 What is prob of sequence qq when two letters picked without replacement from {q: 3, m: 1, c: 1}? 3/10 Calculate prob of sequence zaza when four letters picked without replacement from azzzazaaza. 5/63 Four letters picked without replacement from {j: 4, y: 7, i: 2}. Give prob of sequence yyyi. 7/286 What is prob of sequence fki when three letters picked without replacement from kfif? 1/12 Three letters picked without replacement from {y: 1, q: 1, x: 1, k: 6}. Give prob of sequence kxk. 5/84 Calculate prob of sequence mbmb when four letters picked without replacement from mmmmmmbmbmbmmm. 5/182 Four letters picked without replacement from {p: 1, r: 1, l: 2}. Give prob of sequence pllr. 1/12 Four letters picked without replacement from {c: 2, q: 1, d: 1}. What is prob of sequence ddqq? 0 What is prob of sequence dzs when three letters picked without replacement from lzddspdldls? 4/495 What is prob of sequence eae when three letters picked without replacement from teaaattatttett? 1/273 Two letters picked without replacement from uceueumucuuuucumam. Give prob of sequence ua. 1/34 Calculate prob of sequence yyy when three letters picked without replacement from {x: 8, l: 3, y: 5}. 1/56 Two letters picked without replacement from daxeaxdvvxvv. What is prob of sequence ed? 1/66 Three letters picked without replacement from {y: 1, l: 1, a: 9, h: 3, w: 4}. Give prob of sequence hwy. 1/408 Three letters picked without replacement from {i: 10, t: 2}. What is prob of sequence iit? 3/22 Three letters picked without replacement from uwszu. What is prob of sequence uzs? 1/30 Three letters picked without replacement from rrzrzzzrrrmzrzrzzzm. Give prob of sequence rzz. 32/323 Two letters picked without replacement from gkddaaaaddd. What is prob of sequence da? 2/11 Calculate prob of sequence cjjc when four letters picked without replacement from cjjjjjcc. 1/14 Four letters picked without replacement from poppioooqiqiqpqqppiv. What is prob of sequence pipp? 4/969 Two letters picked without replacement from {j: 1, t: 4, y: 1, k: 2, c: 3, h: 1}. What is prob of sequence yj? 1/132 What is prob of sequence hhhi when four letters picked without replacement from hiiiihiiihhhii? 45/2002 Two letters picked without replacement from {w: 5, q: 1, c: 2, i: 1}. What is prob of sequence qw? 5/72 Three letters picked without replacement from {g: 7, v: 2, e: 7, s: 3}. Give prob of sequence vgs. 7/969 Four letters picked without replacement from {c: 10, f: 1, k: 3, t: 1}. Give prob of sequence tcck. 3/364 Three letters picked without replacement from aaaamam. Give prob of sequence mma. 1/21 Calculate prob of sequence mwnm when four letters picked without replacement from wwwwwmnnm. 5/756 What is prob of sequence um when two letters picked without replacement from {j: 8, q: 1, b: 2, g: 5, m: 1, u: 3}? 3/380 Four letters picked without replacement from {i: 3, s: 4}. What is prob of sequence isss? 3/35 Calculate prob of sequence vh when two letters picked without replacement from {z: 1, h: 1, u: 2, v: 3}. 1/14 Calculate prob of sequence kkq when three letters picked without replacement from {q: 2, k: 3}. 1/5 What is prob of sequence lphp when four letters picked without replacement from {r: 3, l: 2, p: 2, h: 2}? 1/378 Three letters picked without replacement from axeuau. What is prob of sequence euu? 1/60 Calculate prob of sequence va when two letters picked without replacement from vvvaaaouavvvv. 7/39 Two letters picked without replacement from jxjrj. What is prob of sequence xj? 3/20 Three letters picked without replacement from {c: 4, r: 5, s: 5}. What is prob of sequence ssr? 25/546 Calculate prob of sequence oom when three letters picked without replacement from {o: 2, m: 3}. 1/10 Three letters picked without replacement from nkknkpnnwwpwpp. What is prob of sequence wwp? 1/91 Two letters picked without replacement from ppppsrss. What is prob of sequence ps? 3/14 What is prob of sequence dh when two letters picked without replacement from {h: 1, m: 2, p: 3, d: 4}? 2/45 Four letters picked without replacement from {v: 2, k: 7, m: 3}. Give prob of sequence mmvm. 1/990 Two letters picked without replacement from jjtzthjzbihzjtzhjbj. Give prob of sequence ji. 1/57 Calculate prob of sequence hb when two letters picked without replacement from {h: 11, b: 9}. 99/380 Calculate prob of sequence xxxx when four letters picked without replacement from xxxxxxx. 1 Four letters picked without replacement from {s: 2, o: 2, c: 3, f: 5}. What is prob of sequence fcof? 1/99 Four letters picked without replacement from {a: 2, s: 2, c: 4, n: 1}. What is prob of sequence ncsc? 1/126 Two letters picked without replacement from qeuquzzqvqqueeuqqz. What is prob of sequence zu? 2/51 What is prob of sequence zw when two letters picked without replacement from wttzntzttztxt? 1/52 Four letters picked without replacement from ttcmtmmmsmmimmsmc. What is prob of sequence cscm? 3/4760 Two letters picked without replacement from {v: 11, f: 5, y: 1}. What is prob of sequence yf? 5/272 Three letters picked without replacement from {b: 2, c: 1, l: 1, w: 4, g: 1}. Give prob of sequence lcb. 1/252 What is prob of sequence lfg when three letters picked without replacement from fpfgfpfllgofofgffpf? 3/323 Calculate prob of sequence fp when two letters picked without replacement from ahaaaaafafahppp. 1/35 What is prob of sequence ndn when three letters picked without replacement from {t: 2, n: 2, d: 1}? 1/30 Calculate prob of sequence wnnk when four letters picked without replacement from pwkpwpoownnwwwokwwk. 1/1938 Two letters picked without replacement from {m: 8, x: 4,
{ "pile_set_name": "DM Mathematics" }
) a multiple of 6? True Does 14 divide ((-721)/(-35) - 12)*70? True Let b(p) = -p - 51 + 23*p + 1 - 41*p. Does 22 divide b(-16)? False Is (-590 + 10)*(-12)/15 a multiple of 68? False Is 364 + 25/(1 + 4) a multiple of 6? False Let w = 139 + -60. Suppose -d + l = -w, 5*l = -3*d + 106 + 107. Is d a multiple of 38? True Let f = 16 + -15. Let p be (3 - 4)*23*f. Let z = -16 - p. Is z a multiple of 7? True Let m be (2/(-4))/(3 - 125/40). Is 2 + ((-1)/m - (-298)/8) a multiple of 39? True Let k(s) = s**3 - 5*s**2 - 7*s - 3. Let b be k(6). Let a(i) = -5*i + 10. Let g be a(b). Suppose -u + g = 5*w, -99 = -4*u - 4*w + 185. Is 27 a factor of u? False Let a(t) = -2*t + 152. Is a(-23) a multiple of 24? False Let v(l) = 6*l + 2. Let o = 44 - 24. Suppose -o = -3*p + 1. Is v(p) a multiple of 22? True Suppose 0 = 13*m - 7 - 19. Is 22 a factor of 15/m*(-132)/(-9)? True Let f = -54 - -37. Let u(g) = -2*g**2 - 35*g + 9. Is 13 a factor of u(f)? True Let j(s) = 202*s**2 - 10*s + 3. Is 47 a factor of j(1)? False Suppose 0*m = 4*m - 24. Let q = -3 + m. Suppose -q*b - 27 = -3*t, b - 21 = -t - b. Does 6 divide t? False Let s = 31 - 39. Let p(d) = -12*d - 82. Is 7 a factor of p(s)? True Let h(z) = -z**3 + 5*z**2 + 6*z + 8. Let c = 15 + -9. Is 8 a factor of h(c)? True Suppose -41*b = -16*b - 25850. Does 22 divide b? True Let v be (-348)/(-54) - (-16)/(-36). Suppose 288 = -v*c + 15*c. Does 3 divide c? False Let m(y) = 2*y**2 + 9*y - 9. Let q be m(-6). Is q/2*(-52)/(-3) a multiple of 18? False Suppose -2*m + 5*f = -3*m + 2, 0 = m - 2*f - 2. Suppose m*b = -3*v - 8, -2*v + b + 1 + 3 = 0. Suppose 4*t - 16 = -v*t. Is t a multiple of 4? True Let o be 161/1 + 2 + -4. Suppose -2*g + 161 = -o. Suppose -3*s + g = 22. Is s a multiple of 12? False Suppose -2*r = -165 + 27. Let i = -52 + 73. Let u = r - i. Is 14 a factor of u? False Let d = 9 + -3. Suppose 1 = m - d. Suppose -5*l = -m*l + 70. Is 7 a factor of l? True Let j = -2741 - -6533. Is 24 a factor of j? True Let w(u) = u - 5. Let c be w(7). Suppose -t + 1 = -c. Suppose -90 = -t*l + p, -161 = -5*l + 2*p - 4*p. Does 14 divide l? False Let b be 1/(30/(-8) - -4). Suppose 2*s - b*h - 16 = 0, 0*s - 2 = -s - h. Suppose 0 = 5*t - s*t - 65. Is t a multiple of 15? False Suppose 0 = 3*g + g + 2*l - 2322, 0 = -5*l - 15. Is g a multiple of 108? False Does 47 divide ((-13)/3 + 4)/((-6)/7542)? False Suppose 3*z = z - 5*x + 97, -11 = -z + 5*x. Let t be ((-13)/(-3) - 1)*z. Suppose -3*k + t = -0*k. Does 20 divide k? True Is 7 a factor of -112*((-2325)/420 + 8/28)? True Let a = 200 - -40. Is a a multiple of 25? False Suppose -61 - 47 = 6*q. Is q/4*(336/9)/(-1) a multiple of 22? False Suppose 2*m - 12 = -2*m - 2*n, 5*n = 10. Let p be 1/m*50/5. Suppose 123 = -2*u + 3*h + 400, -3*u = p*h - 387. Is 28 a factor of u? False Suppose -5*y = -0*y - 5, 4*y - 10 = g. Does 28 divide (-27)/g*32*14/12? True Suppose -25 + 21 = 4*h. Does 4 divide h - (-330)/12 - 1/(-2)? False Does 40 divide 6/24*0 - (1 + -1063)? False Let j(b) be the first derivative of 11*b**3/3 - 3*b**2/2 - b - 1. Suppose f = 12 - 13. Is 2 a factor of j(f)? False Let x(r) = -r**2 + 11*r + 30. Let l be 8/(-36) + 119/9. Let k be x(l). Suppose -24 = q - k*q. Is 2 a factor of q? True Suppose 5754 = 2*f + 2*k, 15*f - 13*f = 4*k + 5784. Is 22 a factor of f? True Let w be (-10)/(-35) - (-878)/14. Suppose -3*m + 264 = w. Suppose -4*d = -m - 41. Does 10 divide d? False Let m(g) = 3*g - 5. Suppose -2*x + 5*w - 1 = -17, 0 = -4*w. Does 2 divide m(x)? False Let b(z) = 316*z + 79. Is 50 a factor of b(3)? False Let s = -61 + 63. Suppose -s*o = -0*f - f - 106, -112 = -2*o - 2*f. Is o a multiple of 9? True Let q be 2/4*-2*0. Is 8 - (1 + q) - (-8 - -5) a multiple of 10? True Let v be (-15)/10*(-460)/15. Let i = -37 + v. Is 4 a factor of i? False Let u = -7 - -1. Let m be (u/(-8))/((-5)/(-1300)). Suppose m = 5*b - 3*o - 0*o, 4*b - 169 = 5*o. Is 19 a factor of b? False Let n(r) = -6*r**3 - 5*r**2 - 1. Let l(o) = -17*o**3 - 14*o**2 - o - 2. Let p(a) = -4*l(a) + 11*n(a). Suppose -3*z = -4*z + 3. Is p(z) a multiple of 9? True Let d(w) = -23*w - 5. Let y(b) = -b**2 + 7*b + 2. Let h be y(7). Suppose 8*l = 3*l + 3*p + h, -2*l - 2*p - 12 = 0. Is 11 a factor of d(l)? False Let a(f) = -f**3 + 17*f**2 + 30*f + 55. Is a(18) a multiple of 13? False Suppose 5*o + i - 5 - 52 = 0, -4*o + 36 = -4*i. Suppose -o*j + 15*j = 44. Let y(d) = d**2 - 3*d - 3. Is y(j) a multiple of 21? False Suppose -8953 = -4*g + t, -2*g + 0*t = 2*t - 4464. Is 71 a factor of g? False Suppose 0 = 2*g - n - 286, 18*g + 5*n + 715 = 23*g. Is 11 a factor of g? True Let m = 12 - 14. Let a be -2 + 1 - (m + -3). Suppose -a*u - 4*r = -332, 3*u - 253 = -3*r - r. Does 14 divide u? False Let t be 3*(-3)/(-3)*2/2. Is 9 a factor of -1 + -2 - (2 + t + -71)? True Suppose -y - 25 = 7. Let g = 137 + y. Is g a multiple of 28? False Let a(d) be the second derivative of -4*d**3/3 - 29*d**2 - 39*d. Is a(-11) a multiple of 5? True Let h = -363 - -464. Does 4 divide h? False Let w = 2405 + -1505. Does 64 divide w? False Let h be (4/(-12))/((-1)/9). Suppose 5*d = 5*p + 70, 3*p - 2*d = -h - 37. Is 172/24 + 2/p a multiple of 3? False Suppose 0 = -5*b + 9 + 1. Suppose 2 = u - y, -b = -u + y - 2*y. Let f(n) = 13*n**2 - 3*n. Does 22 divide f(u)? False Suppose -5*v = -5*b + 197 + 213, 2*v = 4*b - 324. Is b a multiple of 8? True Let c = 1324 + -1030. Does 3 divide c? True Let b = -26 + 0. Let t = -24 - b. Is t a multiple of 2? True Suppose 0 = -3*d - 3*r + 6987, 0 = 2*d - 4*r + 1471 - 6129. Is d a multiple of 93? False Let n(q) = -q**3 + 10*q**2 - 9*q + 3. Let f be n(9). Suppose 0 = p + 4*p + f*o + 35, 5*p + 35 = 2*o. Is (-115)/p - 40/(-70) a multiple of 3? False Let i(k) = -4*k + 46. Let g be i(0). Let c = g - 39. Does 5 divide c? False Suppose -l - 3*r = -53, r = -4*l - 0*l + 267. Let u = l - 55. Is u a multiple of 13? True Let i be 12/(-3) + (14 - 5). Suppose 0 = i*q - 20, 0*o + q + 52 = o. Does 14 divide o? True Suppose -7*n = -3*n - 4*h + 4, -4 = -2*n - 4*h. Is -1 - (-60 + (-2 - n)) a multiple of 21? False Suppose -28*r + 4170 = -3222. Does 22 divide r? True Suppose -344 = -g - 3*s, -9*g + 12*g = -s + 1048. Is 5 a factor of g? True Is 5 a factor of ((-3096)/(-301))/(4/182)? False Suppose 0 = 3*x + h + 2797 + 1624, x = -2*h - 1472. Is 14 a factor of x/(-6) - 120/72? False Does 8 divide ((-7)/(21/1020))/(10/(-40))? True Suppose 2*x - 5*f = 855, 3*x + 2*x + 4*f - 2154 = 0. Does 4 divide x/90 - 4/(-18)? False Suppose -55*j + 48175 = -9300. Does 95 divide j? True Let r(u) = 65*u + 73. Is r(10) a multiple of 7? False Let k(r) = -r**2 + 25*r - 50. Let b(d) = d**3 + 2*d**2 - 10*d - 7. Let g be b(-3). Is k(g) a multiple of 26? True Let l = -279 + 467. Is 4 a factor of l? True Is 1728/(-224)*(1 + -309) a multiple of 66? True Let n(b) = -b**3 - 9*b**2 - 22*b - 24. Does 37 divide n(-10)? True Let m be (0 - 2) + -2 + 6. Suppose -m*q + 5 = -3. Suppose g = 4*y + 72, 6*g - 2*g - 188 = -q*y. Is 13 a factor of g? True Suppose l - 257 = -19. Is 34 a factor of l? True Suppose q + u - 14 = 0, 3*u + 0*u = q - 34. Let t = q - 28. Does 16 divide 0 + 21 - (6 + t)? False Suppose 0 = -95*k + 85*k + 5920. Does 16 divide k? True Let y = 684 - 629. Is y a multiple of 52? False Let t be 1/1*(3 - 2). Let n be -2 - -13*(t + 1). Let a = n - -29. Is 13 a factor of a? False Let p = -11 - -14. Suppose 2*y + p*x - 61 = -3*y, -x = -2. Let w = -8 + y. Is 2 a factor of w? False Let d(l) = -58*l - 2. Let b = -26 - -25. Is 14 a factor of d(b)? True Suppose 2*z - 5516 = -5*y, 0*z + 4*z = -2*y + 11000. Is z a multiple of 16? False Does 8 divide (-2)/11 + (-16380)/(-66)? True Suppose 3*y + 2 - 7 = -5*u, 14 = 4*y + 3*u. Suppose -o - f + 24 = 0, -4*f + 1 = y. Is 21 a factor of o? False Is 13 a factor of (8/(-16))/(2/12) + 86? False Let h(b) = -b + 8. Let p be h(-5). Let k be 356/52 + 2/p. Suppose f - k + 5 = 0. Does 2 divide f? True Does 22 divide 3596/4 + (-5)/(10/(-6))? True Suppose 3*z = 4*p + z - 3244, 5*p = z + 4055. Does 29 divide p? False Let z = 1328 + -900. Suppose -4*q + 348 + 35 = -5*m, 4*q = -4*m + z. Does 22 divide q? False Suppose -4*z + 3*d + 4 = -2, 5*z + 4 = -2*d. Suppose z = -0*b - 3*b + 117. Is b a multiple of 13? True Let h = 7 - 6. Let j be -80*(2/10 - h). Let d = 107 - j. Is 15 a factor of d? False Let
{ "pile_set_name": "DM Mathematics" }
Calculate the greatest common divisor of 2656 and 830. 166 Calculate the highest common divisor of 4514 and 74. 74 Calculate the highest common divisor of 240 and 15. 15 Calculate the greatest common divisor of 10363 and 43. 43 What is the highest common divisor of 7 and 1379? 7 What is the highest common factor of 406 and 174? 58 What is the greatest common factor of 471 and 6? 3 What is the greatest common factor of 160 and 30? 10 Calculate the highest common factor of 12 and 6. 6 Calculate the greatest common divisor of 85 and 40. 5 Calculate the highest common factor of 752 and 32. 16 What is the greatest common factor of 550 and 100? 50 Calculate the greatest common factor of 17 and 131. 1 What is the highest common divisor of 74 and 18? 2 Calculate the highest common divisor of 58 and 1856. 58 Calculate the greatest common divisor of 245 and 2303. 49 Calculate the greatest common divisor of 70 and 2110. 10 What is the highest common divisor of 150 and 17610? 30 Calculate the highest common divisor of 85 and 901. 17 Calculate the greatest common factor of 206 and 2987. 103 What is the highest common divisor of 4335 and 30? 15 Calculate the greatest common divisor of 30 and 510. 30 What is the greatest common divisor of 12 and 2412? 12 Calculate the highest common divisor of 1908 and 24. 12 What is the greatest common divisor of 66 and 814? 22 Calculate the highest common factor of 3139 and 1075. 43 Calculate the greatest common factor of 96 and 6912. 96 What is the highest common factor of 20 and 1970? 10 What is the greatest common factor of 4 and 3? 1 What is the highest common factor of 180 and 36? 36 What is the greatest common divisor of 444 and 60? 12 What is the greatest common divisor of 255 and 45? 15 Calculate the greatest common divisor of 196 and 224. 28 What is the greatest common divisor of 375 and 15? 15 What is the highest common factor of 4840 and 10? 10 Calculate the highest common factor of 32 and 20752. 16 What is the greatest common factor of 2329 and 1096? 137 Calculate the greatest common factor of 546 and 364. 182 Calculate the highest common divisor of 88 and 99. 11 What is the greatest common factor of 1022 and 14? 14 Calculate the highest common divisor of 115 and 184. 23 What is the highest common divisor of 70 and 15120? 70 Calculate the highest common divisor of 13203 and 81. 81 What is the greatest common divisor of 9 and 2412? 9 Calculate the greatest common factor of 17 and 34. 17 What is the greatest common factor of 153 and 340? 17 Calculate the highest common divisor of 4932 and 36. 36 Calculate the highest common divisor of 15 and 6. 3 Calculate the highest common factor of 4018 and 1558. 82 Calculate the highest common factor of 34579 and 151. 151 Calculate the highest common factor of 76 and 1292. 76 What is the greatest common factor of 5363 and 31? 31 What is the greatest common factor of 25992 and 144? 72 What is the highest common divisor of 22 and 116? 2 Calculate the highest common divisor of 580 and 20. 20 Calculate the greatest common divisor of 25678 and 74. 74 What is the highest common factor of 129 and 28810? 43 Calculate the greatest common divisor of 8978 and 134. 134 Calculate the greatest common divisor of 25 and 20700. 25 Calculate the highest common factor of 3764 and 12. 4 What is the greatest common factor of 5 and 5? 5 What is the greatest common divisor of 26462 and 262? 262 What is the highest common divisor of 162 and 702? 54 What is the greatest common divisor of 1313 and 404? 101 What is the greatest common factor of 78 and 3120? 78 What is the greatest common divisor of 108 and 99? 9 What is the highest common divisor of 100 and 90? 10 Calculate the highest common divisor of 48 and 24. 24 What is the greatest common factor of 320 and 40? 40 What is the greatest common factor of 11 and 10813? 11 Calculate the highest common factor of 189 and 42. 21 Calculate the highest common divisor of 1596 and 252. 84 What is the greatest common divisor of 70 and 470? 10 Calculate the greatest common divisor of 1250 and 400. 50 What is the greatest common divisor of 82 and 52? 2 What is the highest common divisor of 500 and 4? 4 What is the highest common divisor of 195 and 1443? 39 Calculate the highest common factor of 235 and 18565. 235 Calculate the highest common divisor of 36 and 1092. 12 Calculate the greatest common divisor of 451 and 11. 11 Calculate the greatest common divisor of 1743 and 42. 21 What is the greatest common divisor of 48 and 3792? 48 What is the highest common divisor of 99 and 2610? 9 What is the highest common divisor of 245 and 175? 35 What is the highest common factor of 1704 and 1491? 213 What is the highest common factor of 2 and 122? 2 Calculate the highest common divisor of 305 and 2440. 305 What is the highest common divisor of 6 and 2778? 6 What is the highest common factor of 660 and 1628? 44 Calculate the greatest common factor of 1638 and 104. 26 Calculate the greatest common factor of 558 and 26505. 279 What is the greatest common divisor of 700 and 560? 140 What is the greatest common factor of 99 and 81? 9 What is the greatest common divisor of 24 and 744? 24 What is the greatest common factor of 750 and 6? 6 What is the greatest common factor of 96 and 24? 24 Calculate the greatest common factor of 210 and 180. 30 Calculate the greatest common divisor of 455 and 35. 35 Calculate the greatest common divisor of 369 and 9. 9 Calculate the greatest common divisor of 609 and 42. 21 What is the greatest common divisor of 440 and 110? 110 What is the highest common factor of 68 and 4? 4 What is the highest common divisor of 335 and 469? 67 What is the greatest common factor of 420 and 100? 20 What is the greatest common divisor of 216 and 1152? 72 Calculate the highest common factor of 9 and 3357. 9 Calculate the greatest common divisor of 2196 and 61. 61 Calculate the highest common divisor of 259 and 7. 7 What is the highest common factor of 144 and 1350? 18 Calculate the greatest common divisor of 146 and 2. 2 What is the highest common factor of 17755 and 212? 53 Calculate the highest common divisor of 55 and 649. 11 Calculate the greatest common factor of 234 and 18. 18 Calculate the greatest common divisor of 17 and 17. 17 What is the greatest common divisor of 27596 and 4? 4 What is the greatest common factor of 85 and 1122? 17 Calculate the highest common divisor of 45 and 99. 9 What is the highest common divisor of 525 and 8? 1 Calculate the highest common divisor of 57 and 3. 3 What is the greatest common factor of 175 and 245? 35 What is the greatest common factor of 491 and 2? 1 Calculate the greatest common divisor of 103 and 1. 1 What is the greatest common divisor of 15 and 935? 5 Calculate the highest common divisor of 19741 and 19. 19 What is the greatest common divisor of 208 and 364? 52 Calculate the greatest common factor of 17 and 119. 17 What is the highest common factor of 336 and 6692? 28 Calculate the greatest common divisor of 423 and 329. 47 What is the greatest common divisor of 975 and 3? 3 Calculate the highest common divisor of 539 and 98. 49 What is the highest common divisor of 21 and 39? 3 What is the highest common divisor of 3 and 1428? 3 Calculate the greatest common divisor of 119 and 1088. 17 What is the greatest common divisor of 774 and 90? 18 Calculate the greatest common factor of 729 and 9963. 243 Calculate the highest common factor of 15633 and 81. 81 What is the highest common divisor of 2196 and 648? 36 What is the highest common factor of 156 and 120? 12 Calculate the greatest common divisor of 30 and 2650. 10 Calculate the greatest common divisor of 22 and 99. 11 What is the highest common divisor of 63 and 2? 1 What is the greatest common divisor of 143 and 65? 13 What is the greatest common factor of 9309 and 87? 87 What is the highest common factor of 272 and 323? 17 What is the greatest common divisor of 13 and 1391? 13 Calculate the highest common factor of 25 and 70. 5 Calculate the highest common divisor of 480 and 432. 48 What is the greatest common factor of 2 and 154? 2 What is the greatest common divisor of 2547 and 90? 9 Calculate the greatest common divisor of 1240 and 40. 40 Calculate
{ "pile_set_name": "DM Mathematics" }
ort 0.12, r, 0.02 in descending order. r, 0.12, 0.02 Let a = -32 + 37. Suppose -2*n + b = -3, -a*n + 3*b = b - 9. Suppose 0 = -q - 2*q - n. Sort 18, q, -5. -5, q, 18 Let i be (-2542)/1023*42/(-46). Let y = -48/23 + i. Sort -5, y, 0.3. -5, y, 0.3 Let m be 28/5 - 9/15. Suppose 4*q = 2*v - 92, 0 = v - 3*q - 53 + 2. Let o be 1 - -2 - (v - 5). Sort -3, m, o in ascending order. o, -3, m Let p(j) = 83*j - 193. Let q be p(11). Let d = -720 + q. Sort 99, d, -2 in descending order. 99, d, -2 Suppose 20 = 22*g - 2. Let x(b) = -b**3 - 2*b**2 + 3*b + 3. Let q be x(-2). Sort q, -4, g in descending order. g, q, -4 Suppose 0 = 2*k - 5*c + 25, -6*k - c = -k + 22. Suppose 5*d - 13 - 2 = 0. Sort 5, d, -3, k in ascending order. k, -3, d, 5 Let l(g) = g + 5. Let i be l(0). Let h be 44/77*((-6)/(-2))/(-6). Let q = -0.024 - -0.124. Sort -0.3, q, i, h. -0.3, h, q, i Let l = 4 - 3. Suppose 1018 = -3*u + 5*t, -2*t - 12 = t. Let f = -347 - u. Sort 4, f, l in increasing order. f, l, 4 Let h = 6439 + -6436. Sort h, 0.5, -444 in descending order. h, 0.5, -444 Let w be (12/18)/(4/18). Suppose -2*s = -3*s - 4*d - 1, -w*d = s + 2. Sort s, -1, -2 in increasing order. s, -2, -1 Let i = 426 - 419. Let p = -20/29 - -282/493. Sort 4, p, i, -2 in ascending order. -2, p, 4, i Let y(i) = -2*i - 1. Suppose -1 + 18 = 2*c - 3*q, -5*c = 3*q - 11. Let b be y(c). Suppose -66 = -38*l - 218. Sort b, l, 3, 1 in increasing order. b, l, 1, 3 Let o = 6453 - 6497. Put 5, -4, -1, o in increasing order. o, -4, -1, 5 Let r be 12 - (-24)/(-28)*28/3. Put r, -38, 11 in ascending order. -38, r, 11 Let o = 319 + -320. Let z be 88/11 + (-12)/3. Put 20, z, -2, o in increasing order. -2, o, z, 20 Let p = 14921.81 + -14922. Sort 1/11, 2, p. p, 1/11, 2 Let g = -31 - -29. Let c = 796 + -795.3. Put c, g, 9 in ascending order. g, c, 9 Let z(a) = -55*a + 525. Let j be z(10). Put j, 5, 9, 0 in decreasing order. 9, 5, 0, j Let a = 1057 + -1054. Put 0.2, 4, 53, -3/10, a in decreasing order. 53, 4, a, 0.2, -3/10 Let z = -4438 - -4438. Put 9, -2/15, z, 4/11 in decreasing order. 9, 4/11, z, -2/15 Suppose -4*f = f + 15. Let s = -348 - -359. Suppose 5*n + 14 = 2*q, 4*n + 3*q - s = 9*n. Put -2/5, -17, f, n in increasing order. -17, n, f, -2/5 Let u = 9912 + -9922.1. Let n = 1 + -3. Put 3/5, n, u in increasing order. u, n, 3/5 Let h(w) = w**3 - 17*w**2 + 20*w - 40. Let k be h(16). Suppose 0 = 3*i + 5*d - k - 7, -5*i + 30 = 4*d. Let x = 3 + -4. Sort i, x, 1, 5 in descending order. 5, i, 1, x Let t be (-14)/49 - (2 - 2/7). Let g be (2 + t)/((-28)/14). Sort -4, 4, g, -19 in ascending order. -19, -4, g, 4 Suppose -4*x - 10*x + 70 = 0. Suppose -b - 3 = 3*i, -4*b + 2*i + 2 = -x*b. Sort -8, -3, b in descending order. b, -3, -8 Let s = 44 + -35. Let j = 12 - s. Let m = 1.6 - -2.4. Sort m, j, -3 in increasing order. -3, j, m Let i be 12 - (16 + (-10)/2). Let q = 17 - 30. Put q, i, 3 in descending order. 3, i, q Let g = -47.384 - 10.616. Sort g, -0.2, 47 in descending order. 47, -0.2, g Suppose -4*y = -2*k, 0 = -y - y - 2. Let f = -49 - -41. Let x be (-11 - f)/((-9)/6). Put -0.01, x, k in ascending order. k, -0.01, x Let k(r) = 17*r - 29. Let w be k(2). Let l be w*-7*2/(-56). Put 5, l, 3, 17 in ascending order. l, 3, 5, 17 Let d = 596 - 598. Sort -3, 0, -29, d, 4 in decreasing order. 4, 0, d, -3, -29 Suppose 6*j - 26 = -8. Suppose 0 = 19*f + 4*f - 92. Put j, f, 5, 6 in descending order. 6, 5, f, j Let d(g) = g**2 + 396*g + 3103. Let o be d(-8). Put 4, -72, o in decreasing order. 4, o, -72 Suppose -4*h + 0*u - 924 = -4*u, 2*h + 482 = -3*u. Let n = 235 + h. Put n, -3, 2, 29 in descending order. 29, 2, n, -3 Let f = -0.897 - 0.103. Let m = -115 + 118. Sort f, -6, -0.2, m in ascending order. -6, f, -0.2, m Suppose 3*j = j + 6. Let i = 69905.7 - 69906. Let k = -1.8 + 2. Sort k, -0.02, j, i in descending order. j, k, -0.02, i Let c(j) = 6*j - 184. Let w be c(26). Let q be (-6)/(-8) + 385/w. Put 4, -5, q in ascending order. q, -5, 4 Let t(w) = -4*w - 80. Let x be t(-24). Suppose -23*p + x*p - 14 = 0. Suppose 4*j - 5*j = -5. Put -4, -1, p, j in descending order. j, -1, p, -4 Let j = -0.6809 - -0.7189. Sort j, 2, -0.1, -1. -1, -0.1, j, 2 Let o(z) = -5*z**2 + 21*z + 17. Let k be o(5). Put -5, -4, 492, k in ascending order. -5, -4, k, 492 Suppose -11 = -4*l + 9. Let i be (-644)/(-10) + (-42)/105. Suppose -76 - i = -20*g. Sort l, -5, g. -5, l, g Let g = -13.899 - -13.899. Sort 21.4, -1/5, g. -1/5, g, 21.4 Let l = 47543.4 + -47543. Put -1/20, 8, 0.2, l, 0.1 in descending order. 8, l, 0.2, 0.1, -1/20 Suppose -8 - 12 = 20*r. Suppose -3*a - 1 = 4*b + 6, -5*a + 4*b + 31 = 0. Put a, -3, r, 2 in decreasing order. a, 2, r, -3 Suppose -97*b = -95*b - 5*x - 4, 2*x - 4 = -2*b. Sort b, -5, -6 in descending order. b, -5, -6 Let w = 3 + 2. Suppose -102*j - 51 = 53*j - 206*j. Put j, -3/4, w in descending order. w, j, -3/4 Let q(k) = 48*k + 625. Let s be q(-13). Sort 55, 3, -13, s in descending order. 55, 3, s, -13 Let z(f) = -137*f**2 + 822*f + 11. Let i be z(6). Sort -4, -17, i in increasing order. -17, -4, i Let c(r) = -r**2 + 9*r - 14. Let i be c(6). Suppose 4*w - 3*w - 5 = 5*q, 5*q + 5 = -i*w. Let z be 4/10*-5 - -5*1. Sort q, 8, 0, z in descending order. 8, z, 0, q Suppose -29*o + 148 = 13*o + 22. Sort -694, -2, o, -3 in decreasing order. o, -2, -3, -694 Let g = 117.842 + -118. Let c = -0.058 - g. Let a = 2.08 - 2. Sort a, c, 2/7. a, c, 2/7 Suppose -3*g - 58 = -7*g + 3*h, 4*h = g - 8. Suppose 3*q + 4*x - g = 7*q, -2*q - x - 8 = 0. Let w be 1 + (135/3)/(-15). Sort 4, w, 1, q. q, w, 1, 4 Let k be 1/(-3)*(-198)/(-6). Let v(n) = 25*n + 229. Let l be v(-9). Let z = 7 + -12. Sort l, k, z, 0 in decreasing order. l, 0, z, k Let y = -15.678 + 10.678. Let a = -1/31 - 51/341. Put -0.4, -1/6, y, a in ascending order. y, -0.4, a, -1/6 Let d(m) = 2*m**2 - 477*m + 9718. Let y be d(216). Let r = -6 + 10. Sort 5, r, y, 15 in ascending order. y, r, 5, 15 Let t = 250.7 - 255.7. Put -1/12, 0.03, 5/3, t, -2 in increasing order. t, -2, -1/12, 0.03, 5/3 Let i(t) = t**3 - 14*t**2 - 15*t + 11. Let u be i(15). Let f be u/(220/15) - 490/(-8). Put -5, f, -4 in decreasing order. f, -4, -5 Let l be 144/(-120) - (-994)/70. Put l, 0, 9, 5 in decreasing order. l, 9, 5, 0 Let i be (-1120)/(-240)*(((-63)/6)/3 - -2). Sort 1, 6, -1, 4, i in descending order. 6, 4, 1, -1, i Let q = -3.81 + 1.81. Let g = 1.926 + 0.074. Put g, q, -1 in decreasing order. g, -1, q Let y be (-748)/(-374)*(1 - 2). Put y, -3, 3, -1 in ascending order. -3, y, -1, 3 Let q be ((-452)/113)/(-1 + -3). Suppose 9 = 3*u, -5*u = 2*s + 18 - 43. Sort q, -22, -4, s in descending order. s, q, -4, -22 Let d = 5155 - 5123. Put 3, -1, d, -6 in decreasing order. d, 3, -1, -6 Let w(b) = -7*b**3 - b**2 - b**3 + 10*b**3 + 0*b**3 - 4. Let y be w(2). Let t be (-2)/4 - (-18)/4. Sort y, 0, -1, t. -1, 0, t, y Suppose s = -s - 5*c + 13, c = 3*s - 11. Let j = -22610 - -22612. Put 31, j, s in decreasing order. 31, s, j Let a = -994 - -4988/5. Let k = 13.8 + -13.913. Let t = -0.087 + k. Put t, a, 0 in ascending order. t, 0, a Let x be (-5)/((95/3)/(6/(-9))). Let j = -71993/540 + -7/540. Let g = 132 + j. Sort x, g, 0.5 in descending order. 0.5, x, g Let r = 2.2914 - 2.3914. Put r, 1.6, 41 in ascending order. r, 1.6, 41 Let a be (0/(-14) - -1)*6/(-21). Sort a, 2.5, 1.2. a, 1.2, 2.5 Suppose 6 = 2*o - 5*l, -o + l + 2 + 1 = 0. Suppose -d - 5*m + 46 = 0, 3*m + 108 = 4*d + 4*m. Let n = 28 - d. Put -3, o, n in descending order. o, n, -3 Let s = 4317 - 4316. Sort 1139, -3, s in descending order. 1139, s, -3 Let j(z) = -2*z**2 + 11*z + 109. Let i be j(-5). Sort -7, -4, i, -3, -1. -7, -4, -3, -1, i Let w = -0.1 + 0.1. Let q = 4521.6 - 4522. Sort -5, q, w in decreasing order. w, q, -5 Let w be ((-48)/(-72))/(4/18). Suppose -3*i + 5*i - 3*d + 12 = 0, 12 = 5*i + w*d. Sort -74, i, -3, -1 in decreasing order. i, -1, -3, -74 Suppose -2*j - 19 = -27. Suppose -10*v + 6*v - 2*i - 8 = 0, j*i = -v + 5. Sort v, -5, -8. -8, -5, v Let o(r) be the first derivative of 0*r + 87*r**2 - 85*r**2 + 25 + 2*r + 9*r**3 + 2*r. Let v be o(-1). Sort 3, v, -1 in descending order. v, 3, -1 Let a = 834/31 + -10780/403. Put a, 28/3, -2/17 in ascending order. -2/17, a, 28/3 Let v(o) = o**2 + 5*o + 6. Let i be v(-4). Let t(d) = -92*d - 1655. Let g be t(-18). Sort g, 0, i, -0.3. -0.3
{ "pile_set_name": "DM Mathematics" }
23. Suppose 5*g = j*a, -2*g = -4*a - 0*g. Let o be (0 + a)/(12/12). Solve n + n - 4 = o for n. 2 Let x = 13342 - 13322. Solve 123 + 17 = x*r for r. 7 Suppose -4*o = -2*o - 42. Suppose 24*a + 5*p - 20 = o*a, -p = 3*a - 4. Solve 0 = -u - a + 5 for u. 5 Suppose -2*o + 3*b + 31 = 0, 603 - 546 = 3*o - b. Solve 6*l + o = 26 for l. 1 Let r(w) = 3*w**2 - w + 1. Suppose 6*k + 5 = -19. Let q be (-2 - 6/k)/(3/6). Let x be r(q). Solve -x = p - 1 for p. -4 Let j(c) = -2*c**2 - 7*c - 11. Let m(p) = -p**2 - 6*p - 12. Let i(g) = -2*j(g) + 3*m(g). Let a be i(-3). Solve 2*s + 5*s = -a for s. -1 Suppose -3*n + 2*h + h - 51 = 0, -3*h = 5*n + 101. Let t = -9 - n. Solve 0 = t*o + 10 for o. -1 Suppose 228 = 22*i - 14 - 594. Solve i*l - 55*l = -102 for l. 6 Let t(h) = -h**2 + 9*h + 38. Let w be t(-5). Let c be (-290)/(-80) - 12/w. Solve 3*q = 2*q + c for q. 4 Let k(n) be the first derivative of -n**4/4 + n**3 - 5*n**2/2 + 6*n - 196. Suppose 12*m = 9*m + 6. Let u be k(m). Solve u*h - 3 = h for h. -3 Let o = -51 + 51. Let i(u) = 2*u + 9. Let l be i(o). Let y be (3/2)/(l/24). Solve 3*f - y = 4*f for f. -4 Let d be (-4 - (-4 - -7))*4/(-7). Suppose -8 = -4*f + d. Solve -f*t = -0*t - 9 for t. 3 Suppose 25*i = 23*i - 3*q + 135, 4*i + 4*q - 264 = 0. Solve i*v + 402 = -4*v for v. -6 Let f(t) = t**3 + t**2 - 15*t + 25. Let m be f(-5). Solve -125*k + 109*k - 64 = m for k. -4 Let i(v) = 5 - 7 + 4*v + 6 + 4*v**2 + 5*v**3 + v**2. Let y(c) = -11*c**3 - 11*c**2 - 9*c - 9. Let a(m) = 9*i(m) + 4*y(m). Let u be a(1). Solve q + 5 = u for q. -3 Let b = 9641 + -9608. Solve 0 = 6*s + b - 39 for s. 1 Suppose -95 = -74*z + 50*z + 25. Suppose -2*r + x = -3 + 25, 5*x = -3*r - 20. Let b = r + 11. Solve 4*o - z + b = 0 for o. 1 Let r(y) = y**2 + 23*y + 128. Let x be r(-13). Let s be (-18)/(-27) - ((-24)/(-9) + x). Solve s = 3*f - 11 - 1 for f. 4 Let n(j) = -9*j + 49. Let u(p) = 48 + 3*p - p - 10*p. Let g(a) = 3*n(a) - 4*u(a). Let y be g(10). Solve 3*d + y + 4 = 0 for d. -3 Let c(k) = 344*k**2 - 19*k - 46. Let g be c(-2). Solve 0 = -25*f + 1343 - g for f. -1 Let g(z) = -z**2 - 3*z + 4. Let b be g(-4). Suppose t + 30 = 3*q - 35, 4*q - 65 = -3*t. Solve b = -5*u + u + q for u. 5 Suppose 9*r - 308 = -344. Let k be 0/(r*(-7)/(-14)). Suppose 1 - 10 = -3*l. Solve -3 = -l*j - k*j for j. 1 Let v = -4089 + 4393. Solve -2*y + v - 302 = 0 for y. 1 Let y be 2*1508/174*(-6)/(-8). Suppose 0 = 15*a - 18*a + 27. Solve h + a = y for h. 4 Let h be -7 + (-5 + 978)/7. Solve 16 = -136*v + h*v for v. -4 Let u = -27 + -298. Let i = -313 - u. Solve -10*f + i*f = 2 for f. 1 Let t = -75 + 77. Suppose 0 = -t*s - 0*s + 4. Suppose h - 4*g - 14 = 0, -s*h + 15 = -h - 5*g. Solve -2*x - 3*x - h = 0 for x. -2 Suppose -x - 18*x = 0. Let b = -112 - -115. Solve -b*i = -6 - x for i. 2 Suppose 8*w - 10*w = -4. Suppose -4*p = 5*j - 6, -w*p + 0*p = -j + 4. Solve j*v = 5 - 7 for v. -1 Let c be (-4 + 5)*-6 - (-28 - 38). Solve 26*t - c = 14*t for t. 5 Let r(y) = -28*y**2 - 4*y + 45. Let b be r(4). Let l = b + 423. Solve l*w - 39 = -19 for w. 5 Let i(m) = m**2 - 32*m - 632. Let u be i(-14). Solve 74*q = 77*q - u for q. 4 Suppose 212 = 2*m - 4*f, -32*m + 2*f - 614 = -37*m. Solve 27*w - 47*w + m = 0 for w. 6 Suppose 10 = v + 2. Let s(g) = -17*g - 150. Let c be s(-9). Suppose w - 2*p + c = 0, -1 = -w + p - 0*p. Solve 12 + v = -w*x for x. -4 Let w = 6 + -10. Let z be (22/(-4) - w)*-2. Let r(o) = 3*o**2 + 6*o - 20. Let j be r(2). Solve z*i = j*i + 5 for i. -5 Let d be 21571/407 - (-1 - -45). Suppose -2*s = 5*g - 4*s - 16, 18 = 3*g + 3*s. Solve -g*r = -d*r + 15 for r. 3 Suppose 0 = 2*j + 96 - 52. Let v(s) = 3*s + 69. Let m be v(j). Solve -6*c = -m*c + 3 for c. -1 Let v be (5 - -1) + (-137)/2329 + (-202)/34. Solve v = -9*l - 22*l - 6*l for l. 0 Let v = 161 - 170. Let c(g) = -g**2 - 8*g + 13. Let j be c(v). Solve j*y = -y for y. 0 Suppose 3*p - 9*p = -36. Let o(s) = 32*s + 290. Let q be o(-9). Solve 5*t - p*t + q = 0 for t. 2 Let z(v) = v**3 + 9*v**2 + 9*v + 13. Let h be z(-8). Let n be 21/h - 12/(-15). Suppose -3*i - 2*j = -21, 7 = n*j - 8. Solve 0*m = -i*m for m. 0 Let z(k) = 5*k**2 + 130*k - 385. Let h be z(3). Solve -19*p = -145 + h for p. 5 Let v(d) = 61*d + 1159. Let f be v(-19). Solve r - 1 + f = 0 for r. 1 Let c = 1858 - 1846. Solve 10*m + c*m = 176 for m. 8 Let a(m) = 4*m + m + 0*m. Let r be a(0). Let q = 337 - 333. Solve r*c + q = -2*c for c. -2 Suppose 4*g = v + 70, 18 = 3*g - 2*v - 32. Solve 17*y - 23*y - g = 0 for y. -3 Let k = 3403 - 3399. Solve -k*s + 27 - 43 = 0 for s. -4 Let z = 187 + -187. Suppose -h + z = -2. Solve -h*c - 5 = -c for c. -5 Let r(u) = -9*u - 84. Let i be r(-10). Suppose -54*j = -57*j + i. Solve j*y + 2*y = 2*y for y. 0 Let s(g) = 125*g**2 + 123*g + 594. Let h be s(-5). Solve -h*t = -3107*t - 21 for t. -7 Let z be (-1)/(8 - (-188)/(-24)) + 6. Solve z = 3*p - 29 + 20 for p. 3 Let d(l) = -2*l**2 - 31*l - 27. Let r(a) = -a**3 + 7*a**2 - 6*a + 15. Let v be r(6). Suppose -13 - v = 2*j. Let k be d(j). Solve 8*c = 11*c - k for c. 5 Suppose 0*j + 2*h + 18 = 2*j, -5*j = -h - 25. Let r(v) = -v**2 - j*v - 6*v**2 + 5*v**2 - 2*v**3 - 2. Let w be r(-1). Solve -w*a - 2 = -6 for a. 2 Let p be (-642 + 2)/4 + 2. Let c = p + 158. Solve 3*j - 1 - 2 = c for j. 1 Let q = 12964 - 12943. Solve -q - 91 = -14*l for l. 8 Let i = 134 + -132. Suppose -9*a + i*a + 182 = 0. Solve 0 = -4*r - a + 6 for r. -5 Suppose 13 + 2 = 3*c + 3*q, -c - 5*q + 13 = 0. Suppose -3*z - z = -3*g, -5*z + 27 = c*g. Solve 11*p - 13*p + g = 0 for p. 2 Suppose 2*q + 0*q = 2*c + 6, c = 2. Let u be -2*(q - 2) - -7. Solve 0*x - u = x for x. -1 Let i(a) = -10*a + 20. Let h(l) = 3*l - 6. Let s(q) = 7*h(q) + 2*i(q). Let r be s(6). Suppose 4*y - 7 = 3*y. Solve y*o - r*o - 9 = 0 for o. 3 Suppose 32*u = -9201 + 18565 - 9044. Let l = -1 - -1. Solve -7*m + u*m - 6 = l for m. 2 Let p = -43316 - -43376. Solve 166*q - 156*q = -p for q. -6 Suppose 58*z - 57*z + 15 = 0. Let v be ((-100)/z + -3)*6. Let j = v - 22. Solve j*h = 4*h for h. 0 Let c(g) = -g**3 + 6*g**2 + 9*g + 24. Let j(m) = -2*m**2. Let h(n) = c(n) - 2*j(n). Let p = 42 - 31. Let l be h(p). Solve 4*q + 2 = -l for q. -1 Let g = 0 + 2. Suppose -5*l = -2 - 8. Let d be 3/((-18)/(-4))*6. Solve d*x = -l - g for x. -1 Suppose 30 = 5*u + w, 5*u - 30 = 2*w + 3*w. Suppose -51 = j - 5*q, -29 = -3*j + 186*q - 185*q. Solve -r + j = u*r for r. 2 Let a(s) be the first derivative of 2*s**2 - 60*s - 47. Let t be a(15). Solve t = -15*b + 20*b for b. 0 Let y = -184 - -184. Let f be (-10)/(-30) + 290/(-6). Let v = 50 + f. Solve x + v*x = y for x. 0 Let u(v) = 3*v**3 - 55. Let r be u(5). Let n = r - 312. Solve -5 - 11 = n*z for z. -2 Let m be (-1140)/17670 + 188/31. Suppose -f - 3 + 6 = 0. Solve f = l + m for l. -3 Let b(k) = k**3 - 3*k**2 + k + 2. Let u be b(0). Let f be (u + 2 - 2) + (5 - 1). Solve 21 = -3*r + f for r. -5 Let z be (-5)/(35/(-28)) + -189. Let s = z - -187. Solve s = -q - 1 for q. -3 Suppose -2*b + 83 = 3*h, -5*b - 41 + 254 = 2*h. Solve 0 = -51*k + b*k for k. 0 Let x(r) = -8*r**2 + 7*r + 8. Let q be x(-3). Let h = 100 + q. Solve 0 = -2*f - f - h for f. -5 Let j be ((7 - -1) + 7)/3. Suppose 4*t = j*t + 2*p - 21, -4*t + 5*p + 45 = 0. Solve 20 - t = 5*g for g. 1 Let m = -22 + -29. Let w = 56 + m. Let t(r) = -r**3 + 5*r**2 + 2*r - 7. Let x be t(w). Solve 0 = 2*i - i - x for i. 3 Let l = 571 - 550. Suppose l = -5*x - p + 34, 2*x + 4*p + 2 = 0. Let n(y) = y**3 - 3*y**2 + y + 4. Let d be n(3). Solve -d*r = -x*r + 8 for r. -2 Let i(h) = -h**3 + 93*h**2 + h - 68. Let s be i(93). Solve s*n - 24 = 21*n for n. 6 Let n(h) = -27*h**2 + 1244*h - 88. Let g be n(46). Solve -16*u = g*u + 100 for u. -5 Suppose -6*j = -22*j + 531 + 813. Solve -6 = -j*y + 83*y for y. 6 Let w(h) = -2*h**2 + 11*h + 637. Let a be w(20). Solve 92*d - 311 = a for d. 4 Let y be 398/((4/26)/((-64)/(-832))). Solve y*f + 76 = 218*f for f. 4 Let f = 2950 - 2900. Solve -9*q = f - 59 for q. 1 Let w be ((-8)/10)/(2/(-15)). Let y be -6 + 2*(33 - w). Solve -52 = -2*r - y for r. 2 Let t(r) = r**3 - 3*r**2 - r - 4. Let a be t(4). Suppose -4904*j = -4898*j + 126. Let w be 14/j - -1*a/3. Solve w*x = -4 + 8 for x. 2 Let t(h) = 3*h**2 - 167*h - 1683. Let q be t(-12). Solve 10*v + q = 703 for v. -5 Let u be -4*(-108)/(-48) - -9. Solve u = -5*q + 101 - 86 for q. 3 Let r be -75 - ((-3)
{ "pile_set_name": "DM Mathematics" }
et l(b) be the first derivative of 4*b - 1/3*b**3 + 1/2*b**2 - 14. Determine l(-3). -8 Let j(s) = 2. Let g(o) = -9. Let x(v) = -g(v) - 4*j(v). Let q(a) = 5*a + 5. Let p(i) = q(i) - 2*x(i). Determine p(-2). -7 Suppose -2 = -3*m + 4. Suppose -10 = -3*j - m*b + 4, j + 2 = -4*b. Let x(p) = 4 - p**2 - 3*p**2 - 3*p**2 + j*p**2. What is x(-3)? -5 Let k(c) = -2*c + 4 + 3 - 6 - 4*c. Let y(m) = 7*m - 2. Let t(x) = -4*k(x) - 3*y(x). Give t(-2). -4 Suppose -6*h - 33 + 45 = 0. Let m(t) = 6*t + 21*t**h + 0*t - 5 - t - 22*t**2. Give m(4). -1 Let o(b) = 7 - 4*b + 2 + 3*b. Suppose 94*f = 90*f - 16. Let l be f + -4*(99/(-12))/3. What is o(l)? 2 Let n = 4 - 10. Let o(v) be the first derivative of 13*v + 36 + 1/2*v**2. Calculate o(n). 7 Let n(b) = b**3 + 6*b - 5. Let v(y) = -y**2 + y - 1. Let f(d) = -n(d) + 6*v(d). Let k(l) = l + 2. Let h be k(-8). Determine f(h). -1 Suppose 2*a = -8, -4*y + 3*a + 30 = 6. Suppose -15 = -2*x - 5, 4*x - 44 = -y*n. Let q(k) = 3*k - 10. Give q(n). 14 Let a(u) = 8*u**3 + 2*u**2 + 3*u + 2. Let l(m) = 9*m**3 + 2*m**2 + 2*m + 1. Let t(f) = -2*a(f) + 3*l(f). Let r(g) = -g**2 + 11*g - 27. Let p be r(4). Give t(p). 12 Let r(t) = -t**3 - 8*t**2 + 8*t - 6. Let i be r(-9). Let g be (1/i)/((-2)/6) + -3. Let d(j) = j**3 + 4*j**2 - 2. What is d(g)? -2 Suppose 5 = 3*t - 4. Let f(r) = -r**3 + r**2 - 3*r + 7. Let d be f(0). Let c(n) = -84*n**2 - d - n**t + 78*n**2 - n + 1. What is c(-6)? 0 Let v(c) be the third derivative of c**6/120 + c**5/12 - 5*c**4/24 - 7*c**3/6 + 2*c**2 - 19. Calculate v(-6). -13 Let f(r) = 22 + 4*r - 11 - 3*r**2 - 13 - 8*r**2 + r**3 - 3*r. Determine f(11). 9 Let s = 18 - 34. Let d be -10 - -9 - s/2. Let t(o) = o**2 + 10*o + 9 - 3*o - d. Give t(-5). -8 Let a(n) = 11*n**3 - 19*n**2 - 3*n - 22. Let d(s) = 5*s**3 - 9*s**2 - s - 10. Let l(h) = -4*a(h) + 9*d(h). Determine l(4). -6 Let c = 5 + -3. Let b(u) be the first derivative of 3 - 26*u**2 + 2*u + 24*u**2 - 6 - 3. Give b(c). -6 Let b(w) be the second derivative of w**6/90 - w**5/60 + w**4/24 - 11*w**3/2 + 22*w. Let n(a) be the second derivative of b(a). What is n(1)? 3 Let f(a) = 6*a + 20. Let t(d) = 5*d + 16. Let w(z) = 4*f(z) - 5*t(z). Suppose -5 = -4*k + 3. Let n be (1/2 - 0)*k. What is w(n)? -1 Let d(g) = 1577*g**2 + 8 - 2 - 1578*g**2. Calculate d(3). -3 Let t(k) = 179*k - 3 - 62*k - 61*k - 57*k. Let r(q) = q**2 + 5*q - 6. Let o be r(-6). Give t(o). -3 Let x be -1 + -2 + 1*4. Let p(m) = x - 7 + 6 - 13*m**2. What is p(1)? -13 Let f(t) = 3*t - 1. Suppose 9*x - 5*x + 204 = 0. Let r = -45 - x. What is f(r)? 17 Let p(d) = 50*d - d**2 - 8 + 42*d - 92*d - d**2. What is p(4)? -40 Let v(d) = -3 - 1 + 4 - 15*d + 20*d + d**2. What is v(-6)? 6 Let f(v) = 7*v**2 - 6*v. Let m(u) = u**2 - u. Let n(k) = -f(k) + 6*m(k). Give n(-6). -36 Let w be 1 - ((-36)/27 - (-13)/3). Let z(i) = -4*i + 2. Determine z(w). 10 Let p(u) = -38*u + 125 + u**2 - 127 + 34*u. Suppose 2*j + 2 = -5*r, 4*j - 3*r = 2*r + 26. Determine p(j). -2 Let s(v) be the third derivative of 0*v - 1/60*v**5 - 1/6*v**3 - v**2 + 0 - 1/12*v**4. Determine s(-4). -9 Let a(z) = 19*z - 5. Suppose 8*y - 8 = 8. What is a(y)? 33 Suppose -2*c - 36 = -4*n, -n + 5*n + 3*c - 26 = 0. Suppose -4*b + n*b = 28. Let h(v) = -v**3 + 8*v**2 - 5*v - 8. Determine h(b). 6 Let n(c) = -c**3 - 9*c**2 + 8*c - 11. Suppose -y = 4*k + 57 - 12, 3*k = 5*y - 5. Let f be n(k). Let d(i) = -i**2 + 4 - f + 0*i**2 + 6*i. Give d(5). 0 Let c(q) be the first derivative of q**4/4 + 15*q + 7. What is c(0)? 15 Let w(j) = -j**3 - 3*j**2 + 8*j + 5. Let o = -170 - -165. What is w(o)? 15 Let x(a) = 4. Let h = 131 - 129. Let z(v) = -v - 9. Let f(r) = h*z(r) + 5*x(r). Determine f(3). -4 Let x be ((-14)/(-35))/(5/75). Let c(n) = n**2 - 5*n + 1. What is c(x)? 7 Let q(n) = 26*n. Suppose -3*m + 22 = 1. Suppose -3*c = 4*c + m. Give q(c). -26 Suppose 12 = s + 5*s. Let k(f) = -1 - 9*f + 14*f + 1 + f**s. Calculate k(-6). 6 Let h be (-13 - -5) + 2*1. Let l = -5 - h. Let g(w) = -w - 1. Let m(p) = -2*p - 3. Let j(a) = 3*g(a) - m(a). What is j(l)? -1 Let c(i) be the second derivative of i**8/960 - i**6/720 + 8*i**4/3 - 6*i. Let n(d) be the third derivative of c(d). Determine n(-1). -6 Suppose 0 = -2*u + 6*u + 4. Let a(r) = -13*r - 1. Let s be 14 - ((-3)/(-1) + -6). Let f(c) = 37*c + 3. Let m(x) = s*a(x) + 6*f(x). Determine m(u). 0 Let y(c) = -c**2 - 2*c + 3. Let q(r) = 1. Let n(o) = 4*q(o) - y(o). Suppose -2*k + 13 = -3*l + 34, l + 10 = -5*k. Calculate n(k). 4 Let b(s) = 16 - 7*s + 2*s + 4*s + 3*s. Give b(-3). 10 Suppose 6*o - o + 15 = 0. Let k(t) = -20*t - 20. Let x = -28 - -72. Let r(b) = -b - 1. Let h(z) = x*r(z) - 2*k(z). Calculate h(o). 8 Let y(m) be the first derivative of m**2 + 5. What is y(5)? 10 Suppose -2*p = -3*p. Let m(u) be the first derivative of u**5/20 - u**4/12 + u**2/2 + 23*u - 11. Let s(x) be the first derivative of m(x). Calculate s(p). 1 Let d = 14 + -12. Let o(u) = 10*u**2 + 6 - 6*u**2 - 5*u**d - 6*u. Calculate o(-6). 6 Let u(y) be the first derivative of 2*y**2 + 3 + 7*y + 1/4*y**4 - 7/3*y**3. Suppose -4*p + 8*p = 24. Calculate u(p). -5 Let c(b) = b**3 + 8*b**2 + 9*b + 8. Let x be c(-7). Let s(n) = -4*n + n**2 - 5*n + 15*n + 3. Let f be s(x). Let p(a) = -a - 1. Determine p(f). -4 Let n(y) be the third derivative of -y**6/60 - y**5/60 + y**4/24 - 2*y**3/3 + 2*y**2. Give n(-2). 6 Suppose 3*r + 2*r + 3*y = 33, 1 = y. Let h be (6 + r)*(-1)/2. Let c(j) = j**2 + 4*j + 5. What is c(h)? 17 Let v(s) = -5*s**3 + 3*s**2 - 11*s - 4. Let b(a) = -6*a**3 + 5*a**2 - 13*a - 5. Let h(d) = 4*b(d) - 5*v(d). What is h(-4)? 4 Let l(p) be the first derivative of -3*p**3 + p - 3. What is l(1)? -8 Let p(w) be the second derivative of w**5/60 - w**3/2 - 3*w**2/2 + 3*w. Let o(v) be the first derivative of p(v). Calculate o(-4). 13 Suppose 10 = 2*x - 4*j - 8, -5*j = -2*x + 18. Let l(n) = -5*n**2 - 4*n - 5. Let v(i) = 11*i**2 + 9*i + 11. Let d(z) = x*l(z) + 4*v(z). Determine d(2). -5 Let q = 1 - -2. Let m(d) = -d + 2 + d + q*d. Suppose -2*w = -3 + 7. Determine m(w). -4 Let n(y) be the third derivative of y**4/24 - 5*y**3/6 - y**2. Let o be ((-1)/3)/(9/1107). Let z = o + 45. Calculate n(z). -1 Suppose 4*f - 3*f = -5. Let j = f - -10. Let a(m) = 20*m + 5 - 6*m + m**3 - 8*m + j*m**2. What is a(-4)? -3 Suppose 0*s - 35 = -s. Let b = 339 + -337. Suppose 0 = -7*v + b*v - s. Let x(c) = c**3 + 6*c**2 - 5*c + 9. Determine x(v). -5 Let k(f) = -f**2 + 11*f**2 - 5*f**2 - 4*f**2 + 7*f. Let h be ((-4)/10)/((-3)/(-60)). Determine k(h). 8 Let l(b) be the first derivative of 3*b**2/2 - 2*b - 1. Suppose 3 = p - i + 9, -2*p = -3*i + 13. What is l(p)? -17 Let z = 32 - 25. Let n(g) = -4 + 0 + 3*g**2 + g + z*g - 2*g**2. Determine n(-8). -4 Let x = 14 - 8. Suppose m = -m + x. Let o be (-2 - m/(-6))*-2. Let h(w) = 4*w + 2. Give h(o). 14 Let q be 8/(-2)*(-15)/12. Let r(i) = -3*i + 12. Let h be r(q). Let w(y) = -y**2 - y - 1. Calculate w(h). -7 Let c(j) = 0 + 2*j + 5 - 9*j + 8 + 0. Calculate c(3). -8 Let f(s) = -s**3 - 6*s**2 - 4*s - 3. Let m be 27/(3/(-12) - -1). Let t = -26 + m. Let p be (-1 - 0)/(2/t). Give f(p). -8 Let f(k) = 4*k**2 - 7*k - 24. Let b(u) = -5*u**2 + 7*u + 27. Let y(x) = 3*b(x) + 4*f(x). Give y(8). -7 Let n(a) = -a**3 - 4*a**2 + 7*a + 4. Let y be n(-5). Let c(u) = 2 - 2 - 3 - 2*u + 2. What is c(y)? 11 Let k(d) = 5 + 16*d - 17*d + 6 + 0. What is k(0)? 11 Let p(m) be the first derivative of 4*m**3/3 - m**2 - 3*m - 103. Calculate p(3). 27 Let k(r) = 2*r**2 - 24*r - 15. Let f(g) = 7*g - 9. Let s be f(3). Give k(s). -15 Let v be 20/(-8)*(-2 + 0). Suppose 4*y + v = h, h = -3*y - 3 + 8. Suppose 0 = -r + 3*q + q - 10, y = -5*r - 5*q. Let n(o) = -2*o**2 - 2*o. Give n(r). -4 Let d be (-6 - (-150)/20 - 3)*-2. Let s(y) = 2*y + 2 - 2*y - 5*y + y**2. Determine s(d). -4 Let l(m) = 16*m**2 + 7*m. Let x(r) = -17*r**2 - 6*r. Let f(s) = 5*l(s) + 6*x(s). Give f(-1). -21 Let z be 0/(-2) - (-2 - 5). Let w(o) be the third derivative of 1/60*o**5 - 43*o**2 + 0 - 3/8*o**4 + 5/3*o**3 + 0*o. Give w(z). -4 Let z(p) = p**3 - 8*p**2 + 7*p - 5. Let f(k) = 3*k**3 - 23*k**2 + 20*k - 14. Let x(w) = -6*f(w) + 17*z(w). What is x(3)? -13 Let g(w) be the third derivative of w**5/60 - 2*w**4/3 + 35*w**3/6 - w**2 + 91*w. Give g(13). -4 Let s(y) = -4*y - 16. Suppose 0 = -3*l - 10*x + 5*x - 30, 0 = -2*l - 2*x - 16. Give s(l). 4 Let c(r) = -r*
{ "pile_set_name": "DM Mathematics" }
0.5 (c) w b Let d = 2.96 + 0.04. What is the nearest to -1 in d, -1, -2/5? -1 Let q = -26/255 + 4/17. Which is the closest to 0.2? (a) q (b) -3 (c) 5 a Let u be 8/(-11)*1/(-2). What is the nearest to u in 0.2, 2, -2/7? 0.2 Let w = 0.1 - 0.1. Which is the nearest to w? (a) 0.8 (b) -0.2 (c) -5 b Let w = 5.14 + -0.34. Let m = w - 1.8. What is the closest to -1 in -1/3, -2, m? -1/3 Let y = -4.2 - -7.2. Let v = -6 + 3. Which is the closest to 0.1? (a) y (b) v (c) -1 c Let f = -0.3 + 0.1. Let k = 0.7 - -0.5. Let o = k - 0.2. Which is the closest to -0.1? (a) 1/3 (b) f (c) o b Suppose 79 = -3*n - 110. Let h be 6/8*56/n. Which is the closest to 0? (a) -0.4 (b) 0 (c) h b Let a be (4/(-18))/((-24)/(-36)). What is the nearest to a in -3/4, 2, -2/3? -2/3 Let m = 5.2 + -1.2. Which is the closest to 2? (a) -4 (b) 1 (c) m b Let q = 4 + -7. Let o = -0.34 + 0.04. Let d be ((-4)/(-10))/(49/35 + -4). Which is the nearest to 0? (a) q (b) d (c) o b Let p be (-2)/8 + (-39)/4. Let h be (-1)/1 + (-6)/p. Let g be 1 - 4*1/2. What is the nearest to g in 4, 0.1, h? h Let t = -0.01 - 0.29. Let n = 0.4 - 0.2. Which is the nearest to 0? (a) n (b) 5 (c) t a Let v be (-14)/91 - 6/130. Let d be (2/(-5) - 0)*-1. What is the nearest to d in -3/7, v, 2? v Let s = -33 - -32.91. What is the closest to s in -0.2, -3, -5? -0.2 Let o = -6.22 - 0.68. Let t = -7 - o. Let p = 0.8 + 0.2. What is the closest to -2/3 in t, p, -1/4? -1/4 Let j = -116 - -106. Which is the nearest to 0.3? (a) 0 (b) j (c) -0.1 a Let r = 0.4 + 1.6. Let o = -41/63 - 1/63. Which is the nearest to r? (a) 5 (b) 0.1 (c) o b Let x = 4.95 + 0.05. Let j = 3 - x. What is the nearest to -1/4 in -3/2, j, -0.3? -0.3 Let d = 1 - 1.2. Let o be (-5)/52 + (-2)/(-8). Let y be 3/2 - 14/4. What is the nearest to d in o, y, -0.4? -0.4 Suppose 15*p - 4 = 19*p. Which is the closest to p? (a) -1 (b) 0 (c) 3/8 a Let p be (0 + -1)*(-2)/(-8). Let w = 3 - 2.94. Let s = 1.06 - w. Which is the nearest to p? (a) 3/2 (b) s (c) 0.4 c Let m be 2 + ((-2432)/610)/2. Let v = 923/1220 - m. Which is the closest to -1/2? (a) v (b) -2/7 (c) 2 b Let u = -0.4 + 0.5. Let v = 0 + u. Let n be (-4)/10 - (-6)/(-10). Which is the nearest to v? (a) 5 (b) n (c) 0.3 c Let y = -4.04 + 0.04. Let f = 0 - -6. Suppose 3*q - 3*l - f = 0, 2 = -3*q - 4*l + 1. What is the closest to -2/5 in q, y, -0.3? -0.3 Let n = -0.52 + 0.54. Which is the closest to 1? (a) -1/7 (b) 4 (c) n c Let i = 1 - 3. Let p = 27 - 4. Let m = p + -24. Which is the closest to m? (a) -4 (b) 0.5 (c) i c Let y = -5166/17 + 304. Let d = -496337/63 + 7879. Let o = d + 2/63. Which is the closest to 1? (a) -2/17 (b) o (c) y b Let i be (-2)/(-56) + (-2)/7. Let s = 1.8 + -2. What is the nearest to -1 in 0.4, i, s? i Let t = 5 - 4. Let p = t + 5. Let d = -5 + p. Which is the closest to -1? (a) d (b) 2/7 (c) -5 b Let w(d) = 2*d - 4. Let y be w(-4). Let v be 0 + ((-33)/y - 3). Which is the closest to -1? (a) -1/2 (b) -0.3 (c) v a Let f = 0.135 + 2.865. What is the nearest to 2/5 in f, -0.05, -4/7? -0.05 Let v = -0.44 + 0.04. Let f = 3.4 - -13.6. Let m = f - 15. Which is the nearest to -1? (a) 4 (b) v (c) m b Let x = -3.1 - -3. Let p = -25 + 30. Which is the nearest to x? (a) -4 (b) p (c) -0.1 c Let o be 2 + -4 - 16/(-10). Let w = 0 + -0.8. Let v = -0.4 - w. What is the closest to o in 0.5, -3, v? v Let s = 2.68 - -0.32. What is the closest to s in 3, 2, 1/4? 3 Let q = -15 - -27. Let d be (2/q)/(1/2). Which is the nearest to -2/5? (a) 3 (b) -3 (c) d c Let r = 57 - 227/4. Which is the nearest to -1/2? (a) r (b) 12 (c) -0.4 c Let d = -11 + 17. Let a = 6 - d. What is the nearest to 1/2 in 5, a, -1? a Let s = 0.1 + 0.1. Let x = 1.31 + 0.69. What is the closest to x in -0.2, -1, s? s Let a = -137/330 + 1/66. What is the closest to a in -1/6, 2/17, -1? -1/6 Let g = 104 + -316/3. Suppose -5*d = -3*w - 0*d + 10, -3*w + 12 = -3*d. Let r be (-2)/5*w/(-4). What is the closest to 0 in r, g, -4/9? -4/9 Let w = -1 - -4/3. Suppose 2*v + 18 = -2*s, -v + 5*s + 21 = -0*v. Which is the nearest to -2? (a) w (b) v (c) 1 b Let h = 14 - 15. Which is the closest to h? (a) 5 (b) 3 (c) 1 c Suppose -q = -6*q - 30. Let o be (-14)/3 - (-2)/q. Let f be 1*2/o*1. Which is the nearest to 0? (a) 4 (b) -0.1 (c) f b Let s = 5 - 9. Let u be (-1)/(1 + 0/3). Let p be (u/(-4))/(6/(-4)). What is the closest to -1 in s, p, 1/6? p Let l = -4 + 4.35. Let n = -0.05 + l. Suppose -4*d - 10 = d. Which is the closest to -0.1? (a) n (b) -4/3 (c) d a Let z = -0.02 + 2.02. Let u = -0.42 + 0.02. Let h = 0 + u. What is the closest to z in h, 3/7, 2/3? 2/3 Let g = -0.063 + -0.037. Let n = -7/5 - -41/15. Which is the nearest to g? (a) -0.2 (b) n (c) 0.3 a Let m = -5 - -7. Let n = 6 - 13. Let v = n + 11. What is the closest to -0.1 in v, m, 0.5? 0.5 Let g = 1.7 + -1.7. Which is the nearest to g? (a) -0.3 (b) 0.2 (c) -4/5 b Let r = 925/4 - 230. Let g = -0.55 + 1.55. Which is the closest to g? (a) r (b) -2 (c) 5 a Let h be (-6)/30 + 26/30. What is the closest to 3/5 in -3/5, -0.4, h? h Let v = 6 + -5. Suppose v = y - 0. Which is the closest to y? (a) -5 (b) 1/2 (c) -2 b Let p = -1.3 - -1. Which is the closest to -1/4? (a) -2 (b) -2/15 (c) p c Let q = 0 + -0.3. Let h = 8 + 7. Let i = -16 + h. Which is the closest to -2/7? (a) q (b) i (c) 5 a Let i = 37/2 + -17. Suppose 5*z = -2 + 22. Suppose 0 = 4*k - 3*a + 2, -2*k - z*a + 2 = 14. What is the closest to 1 in k, -5, i? i Let m = -13.2 - -13.1. Which is the closest to m? (a) -15 (b) 3 (c) -0.5 c Let i = 1.1 + -0.1. What is the nearest to -3 in i, -1, -0.3? -1 Let b = 0.54 + -0.64. What is the closest to -1 in -0.4, -3, b? -0.4 Let f = -437 + 1313/3. Let d = -0.04 + 4.04. Which is the nearest to -1? (a) f (b) -5 (c) d a Suppose -6*m - 2*y + 8 = -9*m, -2*m + 5*y - 20 = 0. Let r be (4/(-30))/(3/10). Let i be ((-3)/(-4))/(3/2). Which is the closest to m? (a) -5 (b) r (c) i b Suppose -12*v + 4 = -13*v. Let p = -1/6 + 11/12. What is the nearest to 0 in 0.4, v, p? 0.4 Let u be ((-4)/(-5))/(3/15). Let q = 1 + -2. Let k = -2 + 3. What is the nearest to q in k, -2/19, u? -2/19 Let u be 0 + (2 + -2)/2. What is the nearest to -0.1 in -2/3, -11, u? u Let n(o) = o + 18. Let z be n(-17). Let b = 0.2 - 0.5. What is the closest to 3 in -3, b, z? z Let o = 186 - 1304/7. What is the closest to o in 4/5, 2/9, -3/4? -3/4 Let d = -2.7 + 5.7. What is the nearest to d in -0.5, -1, 0? 0 Let b(g) = -g**2 + 5*g + 5. Let s be b(6). Suppose 5*m - 4*l = -2, 5*l + 2 = -m - 10. Let j = 0.5 - -0.5. What is the nearest to j in s, m, -2/9? -2/9 Let j = -5.1 - -5. Let i(h) be the second derivative of h**4/12 + h**3/6 + h. Let d be i(1). Which is the closest to j? (a) -0.3 (b) -1/2 (c) d a Let v = -1.92 + -0.38. Let z = 2 + v. Which is the closest to -2? (a) 5 (b) -1/6 (c) z c Let w = -0.16 - -6.16. Let z = 3 - w. Let o = 5 + z. Which is the nearest to 1/4? (a) 4 (b) o (c) 0.2 c Let s = 8.1 - 8. Let h = s + -0.1. Which is the closest to h? (a) 0.1 (b) -0.2 (c) 2/9 a Let y = 6 - 3. Let m = 2.8 - 3. Suppose 7*t - 2*t = -3*s + 40, -5*s = -5*t. Which is the closest to -1/2? (a) y (b) m (c) s b Let w = 7 - 12. What is the nearest to -2/3 in -2, w, 5? -2 Let w = 13 + -18. Let y = -0.12 + 0.42. What is the nearest to 1/2 in -2, w, y? y Let z = -13 + 14. What is the closest to 0 in z, -0.4, -1/7? -1/7 Suppose -3*o + 30 = -o. Let i be 5/o + 10/6. Which is the closest to 1? (a) i (b) 1/7 (c) 3 b Let f = 0.25 + 0.05. Let v = -20.55 - -21. Let j = v - -0.05. Which is the nearest to -1? (a) 0 (b) j (c) f a Let r(w) = -w**2 + 6*w - 6. Let j = 3 + 1. Let s be r(j). Which is the nearest to -0.1? (a) s (b) -1/4 (c) 1 b Let x = 45 + -12. Which is the nearest to 0? (a) -3 (b) x (c) 1 c Let a = -3/80 + 23/80. What is the closest to 20 in 5, 0, a? 5 Let k = -0.14 + 5.14. Which is the closest to 0.2? (a) 4 (b) k (c) 2/3 c Let m be ((-13)/3 - -4) + 0. Which is the nearest to m? (a) -0.5 (b) 0 (c) 0.3 a Let l = -0.059 + -0.141. Which is the closest to 2? (a) -1 (b) -0.1 (c) l b Let t be (-2)/(-6) + (-5)/33. Suppose -3*b - 6 = -9. What is the closest to t in b, -2, 2? b Let y = -547/665 + 3/133. Which is the nearest to 1? (a) -0.5 (
{ "pile_set_name": "DM Mathematics" }
095*a**3 - 2*a Collect the terms in -104*w**2 + 12700*w - 12700*w. -104*w**2 Collect the terms in -211382*a**3 - 211376*a**3 + 634128*a**3 - 211373*a**3. -3*a**3 Collect the terms in -3*n**2 + 99 - 3*n**2 - 91. -6*n**2 + 8 Collect the terms in 32 + 10*p**3 + 21 + 2*p**2 - 53. 10*p**3 + 2*p**2 Collect the terms in -3 - 377*c + 3 + 3757*c. 3380*c Collect the terms in -b + 2383093 - 6*b - 2383093. -7*b Collect the terms in -8*w - 7*w**2 + 9*w - 22*w**2 + 20. -29*w**2 + w + 20 Collect the terms in -74*z**3 - 89*z**3 + 172*z**3. 9*z**3 Collect the terms in 16 - 20 + 4 - 175*q. -175*q Collect the terms in 37*b**3 - 345*b**3 + 168*b**3. -140*b**3 Collect the terms in 338 + 17*m + 0*m**2 + 59 + 2*m**2. 2*m**2 + 17*m + 397 Collect the terms in -1906116*y**3 - 2*y + 2*y + 1906134*y**3. 18*y**3 Collect the terms in 6*i**2 - 7*i**3 - 5*i**2 - 1560*i + 11*i**3. 4*i**3 + i**2 - 1560*i Collect the terms in 99*q**2 - 338*q**2 + 121*q**2 + 118*q**2 - 24*q**3. -24*q**3 Collect the terms in -167*s**2 + 492*s**2 - 224*s**2. 101*s**2 Collect the terms in -14*c - 11*c + 70*c - 3*c - 42*c + 7*c**2. 7*c**2 Collect the terms in -203*k + 2 - 2 + 491*k - k**2 - 289*k. -k**2 - k Collect the terms in 34 - 75 + 2*x + 29 - 36 + 48. 2*x Collect the terms in -2*a**2 + 141*a + 138*a - 456*a + 177*a. -2*a**2 Collect the terms in 33*x**2 + 293 + 96*x**2 - 291. 129*x**2 + 2 Collect the terms in -s**3 + 3*s**3 + 2960*s - 9141*s. 2*s**3 - 6181*s Collect the terms in -2*o**3 - o**3 - 3*o**2 + 175*o - 13 + 13 + 2*o**3. -o**3 - 3*o**2 + 175*o Collect the terms in 28 + 23 - 48 - 47*g - 20*g. -67*g + 3 Collect the terms in 0*m**2 + 21*m + 3*m**2 + 2*m**3 + 9*m**2 - 10*m**3 - 3*m**2. -8*m**3 + 9*m**2 + 21*m Collect the terms in 230*s - 467*s + 233*s + 0*s**2 - 6*s**2. -6*s**2 - 4*s Collect the terms in 84616 - 84616 - 34*t**2. -34*t**2 Collect the terms in -51*y**3 - 56*y**3 - 88*y**3. -195*y**3 Collect the terms in -15*g**2 - 95*g**2 + 36*g**2 - 91*g**2 - 197*g**2. -362*g**2 Collect the terms in 113912*q - 8*q**3 - 56955*q - 56957*q. -8*q**3 Collect the terms in -2*n**2 + 92*n - 46*n - 33*n + 6*n**2 - 13*n. 4*n**2 Collect the terms in -25805*f**3 + 51625*f**3 - 25808*f**3. 12*f**3 Collect the terms in 70*g**2 - 21*g**2 - 25*g**2 + 5*g - 26*g**2. -2*g**2 + 5*g Collect the terms in 9*g**2 - 18*g**2 + 5*g**2 + 18*g**2. 14*g**2 Collect the terms in -4*s + s + 6*s + 6*s - s - 6*s. 2*s Collect the terms in -30*h**2 + 349*h**2 - 7 + 682*h**2 + 7. 1001*h**2 Collect the terms in -8*r - 3*r + 9*r + 0*r + 13 - 75. -2*r - 62 Collect the terms in -82 + 2*w**3 + 82 + 3*w**3. 5*w**3 Collect the terms in 109*f - 3*f**3 - 208*f - 4*f**3 + 99*f. -7*f**3 Collect the terms in -265 + p - 596 + 49 + 22. p - 790 Collect the terms in 1174*q**2 - 47*q + 47*q - 2 + 2 - 1184*q**2. -10*q**2 Collect the terms in -13*p**2 + 12576*p + 69*p**2 - 12576*p. 56*p**2 Collect the terms in 294*g - 2 + 5 - 142*g - 217*g - 5. -65*g - 2 Collect the terms in -17*v**2 + 534*v - 284*v - 250*v. -17*v**2 Collect the terms in -351*c - 349*c - 4161*c**2 + 700*c. -4161*c**2 Collect the terms in -74 + 74 + 117*n - 39*n - 36*n - 41*n. n Collect the terms in 603 - 4*n**2 + 10*n**2 - 297 - 303. 6*n**2 + 3 Collect the terms in 105*g + 88*g - 467*g. -274*g Collect the terms in -23896*g + 2*g**2 - g**2 + 23896*g. g**2 Collect the terms in 116*x + 118*x - 2*x**3 + 0*x**3 - 27 - 234*x. -2*x**3 - 27 Collect the terms in -183*o**2 - 1 - 19*o**2 - 2*o**3 + 1. -2*o**3 - 202*o**2 Collect the terms in -15*n - 4*n + 15*n + 2*n. -2*n Collect the terms in -331*u**2 - 44*u**2 + 374*u**2. -u**2 Collect the terms in 5 - 5 + 6394*q**2 + 6340*q**2 - 12724*q**2. 10*q**2 Collect the terms in -423*o - 421*o + 2125*o - 427*o - 426*o - 424*o. 4*o Collect the terms in x - 2456*x**2 - 4*x - 5498*x**2. -7954*x**2 - 3*x Collect the terms in 967*s + 976*s - 2815*s + 870*s. -2*s Collect the terms in -23*s + 374 + 25*s**3 - 374 + 23*s. 25*s**3 Collect the terms in -63*f**3 + 104*f**3 - 43*f**3 - 3*f**2 + 6*f**2. -2*f**3 + 3*f**2 Collect the terms in 148*g**2 - 5*g**3 - 43*g**2 - 22*g**2 - 36*g**2 - 47*g**2. -5*g**3 Collect the terms in 10*l**2 + 2273077084*l - 2273077084*l - 8*l**2. 2*l**2 Collect the terms in 2*j**3 + 20*j + 7*j**3 - 24*j. 9*j**3 - 4*j Collect the terms in 8*d**2 - 1763*d + 847*d + 916*d - d**2. 7*d**2 Collect the terms in -19387*b**2 + 5*b - 5*b - 4544*b**2. -23931*b**2 Collect the terms in 3 + 0*m**3 - 3*m**3 + 0*m**3 + m**3 + 52*m**2. -2*m**3 + 52*m**2 + 3 Collect the terms in -167*c + 334*c + 32*c**3 - 167*c. 32*c**3 Collect the terms in -23 + 9*i**3 + 33 - 10. 9*i**3 Collect the terms in 1 - 1 - 25*t**2 + 19*t**2 + 10*t**2. 4*t**2 Collect the terms in -1129 + 290 + 270 - 3*i + 281 + 288. -3*i Collect the terms in 4*g + 1473931 - 1473931. 4*g Collect the terms in 44*v**3 - 28*v**3 + v**3 - 3*v + 3*v. 17*v**3 Collect the terms in -3700*a + 7386*a - 3720*a. -34*a Collect the terms in -3 + 3 + 1648*k - 109*k. 1539*k Collect the terms in -32739 - 3*d - 32740 - 32787 + 98266. -3*d Collect the terms in 1002*h**2 + 16033*h - 16033*h. 1002*h**2 Collect the terms in -60319*z - 3 + 5881*z + 3. -54438*z Collect the terms in -8 + 6 + 3*z**2 + 16*z**2 + 17*z. 19*z**2 + 17*z - 2 Collect the terms in -440026 - 440060 - 4*t + 880086. -4*t Collect the terms in -4036*o + 2197*o + 1844*o. 5*o Collect the terms in -361470*m - m**2 - m**3 + 361470*m + m**2. -m**3 Collect the terms in -29 + 3*s**2 + 1 - 3*s**2 - 382*s**3 + 378*s**3. -4*s**3 - 28 Collect the terms in 15*g + 19*g + 12*g - 71*g + 13*g + 19*g. 7*g Collect the terms in 11*p - 43444 - 2*p**2 - 7*p - 4*p. -2*p**2 - 43444 Collect the terms in -337*i**2 + 81*i**2 + 95*i**2 + 89*i**2 + 85*i**2. 13*i**2 Collect the terms in -472*g**2 - 71*g + 478*g**2 + 71*g. 6*g**2 Collect the terms in -2 + 125*p**2 + 112*p**2 - 11 + 13. 237*p**2 Collect the terms in 2*q**2 - 2*q**3 - 3816 + 7644 - 3828 - 2*q**2. -2*q**3 Collect the terms in -1691224 - 232*p**3 + 1691224. -232*p**3 Collect the terms in 251*u**3 + 687*u**3 + 23*u**3 + 5*u - 3*u. 961*u**3 + 2*u Collect the terms in 31*q**2 - 28*q**2 - 30*q**2 - 32*q**2 + 57*q**2 - 14. -2*q**2 - 14 Collect the terms in 42 + 53 - 38*c - 95 + 48*c. 10*c Collect the terms in 124*q**2 - 357*q**2 - 109*q**3 + 114*q**2 + 119*q**2. -109*q**3 Collect the terms in -555*v - 521*v + 1047*v. -29*v Collect the terms in -2*o - 916*o**2 - 568*o**2 - 201*o**2. -1685*o**2 - 2*o Collect the terms in 14 - 37 + 23 - 1906*i. -1906*i Collect the terms in 5*a - 2*a**3 - 17*a - 563 + 563 - 7*a. -2*a**3 - 19*a Collect the terms in 350 - 445 - 2*i - 1069. -2*i - 1164 Collect the terms in 17*s + 194*s + 62*s - 158. 273*s - 158 Collect the terms in -1507*u**2 + 0 + 3007*u**2 + 0 - 1523*u**2. -23*u**2 Collect the terms in -3*l**2 - l**2 + 2*l**2 + 0*l**2 + l**2. -l**2 Collect the terms in 53*m**3 - 105*m**3 + 51*m**3 + 388*m. -m**3 + 388*m Collect the terms in 14*u**2 - 30*u**2 + 5*u + 19*u**2. 3*u**2 + 5*u Collect the terms in 78*d - 177*d + 88*d. -11*d Collect the terms in 4*k**2 - 3351 + 10041 - 3342 - 3348. 4*k**2 Collect the terms in -6*d**2 + 20 - 20 + 4*d**2. -2*d**2 Collect the terms in 26407 - 4556*b - 26407. -4556*b Collect the terms in -1 - 68*p**3 - 1 + 11*p**3 + 1 + 7*p**3. -50*p**3 - 1 Collect the terms in 7*x + 4 - 17*x - 4 - 8. -10*x - 8 Collect the terms in -3 + 10*g - 10 - 1 + 42 - 28. 10*g Collect the terms in 27040641 + z - 27040641. z Collect the terms in 1072*w**2 + 678*w**2 + 531*w**2 - 324*w**2. 1957*w**2 Collect the terms in -359*s**3 - 172*s**3 - 731*s**3. -1262*s**3 Collect the terms in 73*c**3 - c**3 - 62*c**3. 10*c**3 Collect the terms in -2132*h**3 - 434*h**3 - 16*h - 17*h - h**2. -2566*h**3 - h**2 - 33*h Collect the terms in 9*u - 22*u + 12*u - 4*u**3 + u. -4*u**3 Collect the terms in -12*x + 17*x - 12*x + 20*x. 13*x Collect the terms in -12162*x**2 + 6059*x**2 + 6035*x**2. -68*x**2 Collect the terms in -1190*w**2 - 762*w**2 + 462*w - 462*w. -1952*w**2 Collect the terms in -v + 239 - v - 153 + 0*v. -2*v + 86 Collect the terms in 1614*t**2 + 153*t**2 + 20*t**2. 1787*t**2 Collect the terms in -8*g**3 + 10*g**3 - 4*g**3 + 8*g**3 - 7*g**3. -g**3 Collect the terms in 3199558 - 3199558 + 2*s - 4*s. -2*s Collect the terms in -18*q + 50*q + 57 + q**3 - 32*q. q**3 + 57 Collect the ter
{ "pile_set_name": "DM Mathematics" }
Let b be (-3)/(-15) + 225466/46970 + -64 + 59. Which is greater: -1 or b? b Suppose 0 = -4*o - 28, -4*n - 2*o + 188 = -1258. Is n less than or equal to 3290/9? True Let p = -80 - -101. Suppose -4*t + 5*x - 12 = p, -3*t - 21 = -3*x. Let f be t/4 - 306/(-468). Which is smaller: f or -2/17? -2/17 Let s = -2.3436 - 0.6564. Do 102 and s have the same value? False Let i be (-2)/(-5) - 32/30. Let q = 13.60263 + -275.60263. Which is greater: q or i? i Let c be 28/136*64/(-112) + (-30)/34. Which is bigger: 6/2359 or c? 6/2359 Let h be ((-113)/452)/(2/(-8)). Let a = -137 + 74. Let t be (-14)/a + 76/306. Is t != h? True Suppose -4*t = -3 + 7. Suppose 2*z = 10*z + 440. Let s = -55 - z. Is s < t? False Let w = -13.32 - 34.68. Is w < -4? True Let s = -9931/18 - -552. Let g = 11/72 - s. Let h(b) = b + 2. Let n be h(-2). Which is greater: n or g? n Let z(y) = -y**3 + y**2 - 7*y + 13. Let v be z(6). Let c = 2721/13 + v. Let u = 17.9 - 18. Is c at least u? True Let h be 614/6 - -2 - (-15 + 21). Which is greater: -0.1 or h? h Let h(f) = -f**2 + 69*f - 1160. Let r be h(40). Is 2/9719 bigger than r? True Let v(l) = 7*l + 4*l - 42*l**2 + 2 - 44*l**2 + 78*l**2. Let f be v(-8). Let j = 1732/3 + f. Which is smaller: j or -21? -21 Let h(r) = 491*r + 8347. Let u be h(-17). Are -22/227 and u unequal? True Let j = -36 - -91. Let q = -57 + j. Let a be q + 5 - 196/8. Is -23 at most as big as a? True Suppose -5*n + 25 - 10 = 0. Suppose -4*w + 444 = -z, -4*z + w - 1776 = -n*w. Let j be 19/(-114) - (0 - (-110)/z). Which is bigger: j or -1? j Suppose -2*b + 3*f = 218 + 12, -5*f - 504 = 4*b. Let r = 41 + 27. Let a = b + r. Which is smaller: a or -55? -55 Suppose 17*l = 18*l - 3*f + 26, -24 = 3*l - 3*f. Which is smaller: -5/5104 or l? -5/5104 Suppose 228 = 14*i - 80. Suppose -i = 4*y + 42. Is -18 at least as big as y? False Let i be -193 + -75 + 4*-1. Let q(c) = c**2 + 33*c - 6. Let t be q(-14). Is i equal to t? True Let q(l) be the second derivative of -l**5/20 - 11*l**4/12 + 14*l**3/3 - 6*l**2 - 17*l. Let y be q(-13). Let g be (5/35)/(40/y - -1). Is g != -2? True Let u(f) = f + 14. Let w be u(-4). Suppose -12*o = -w + 82. Let t be 4*o/(-14) + (0 - 1). Which is smaller: 0 or t? 0 Let q = 803/5 + -18499/115. Let m = 1704 - 5114/3. Is q less than m? False Let n = 0.1897 - -0.3103. Which is smaller: n or -1/39? -1/39 Let l be 4/8*-1 - (-230)/468. Let o be (-19)/(-12) - 20/16. Which is smaller: o or l? l Let r(l) = -l**3 - 46*l**2 + 54*l + 120. Let p be r(-47). Let s = -204 - p. Is 56/9 at least s? True Let o(b) = -b**3 + 6*b**2 + 9*b - 6. Let s be o(7). Suppose 5*i + 15 = 2*z, -z + 3*i + 10 - 2 = 0. Suppose s*a = -z*a. Which is greater: 1/10 or a? 1/10 Let p = 103.8 - 104. Let r = p - -0.2. Is 2/469 > r? True Let x = -1006 + 1006. Which is smaller: 1/2713 or x? x Let o(a) = -14*a**2 - 95*a + 16. Let r(u) = -7*u - 161. Let c be r(-22). Let t be o(c). Let p(z) = z**3 + 5*z**2 - 8*z - 9. Let l be p(-6). Is l greater than t? True Let d = -4752 + 4740.18. Is 0 > d? True Suppose -197 = 4*h - 21. Let n = h - -116. Is 71 <= n? True Suppose -9*g = -6*g. Let w be 11/22*g/(1 + 0). Let m be 9/6 - (w + 0). Which is bigger: m or -3/7? m Let l = -4815 - -601873/125. Is -10 less than l? True Suppose 0*s + 3*s + 6 = 0. Let b = -1.04 + -64.96. Let o = b - -100. Is s less than o? True Suppose -11 = -6*o + 7. Let q be (-1)/o - (-106)/6*-1. Which is smaller: q or -53/3? q Let f = 24 + 43. Let n = -32 + f. Is n less than 35? False Let s = 2987/81795 - 8/205. Which is greater: s or -1? s Let a(n) = -n**2 + 6*n + 10. Let k be a(8). Let l = 76 + -66. Let s be l/(-8)*(-70)/25*-2. Which is smaller: s or k? s Let o = -92 + 92.29. Let f = 79.29 - o. Let i = -62 + f. Which is greater: -0.2 or i? i Suppose m + 2*m = -0*m. Suppose m*p - 12*p = -108. Let l be 16*(-2 + -2)/(-8). Is p at least l? True Let z = -333.7 + 334.2. Which is bigger: z or -0.153? z Let a = 9.7 + -9.4. Which is bigger: -263 or a? a Let v = -189/5 - -38. Let z = -10063 - -10061.91. Which is smaller: z or v? z Suppose 87*v + 196 = 47*v + 47*v. Is v less than or equal to 28? True Let i(s) = -s**3 - s + 39. Let x(a) = -a**2 - 22*a + 3. Let y be x(-22). Suppose -3*l = y*l - l. Let m be i(l). Which is smaller: 40 or m? m Suppose -5*s + 0 - 2 = j, 5*j + 5*s - 10 = 0. Is -55 greater than j? False Suppose -5*a - 2*k = -526 - 2088, 5*a - 2606 = 2*k. Let p = a + -523. Are p and 5/127 nonequal? True Let m = 4179 - 4178. Let u = 74.6 - 63. Which is smaller: m or u? m Let v = 69 + -67. Let l = 709 + -723. Which is greater: v or l? v Let v be 7701702/(-9114) + 4/98. Is v > -845? False Suppose 0 = 12*y - 99 + 63. Let d(r) = -2*r**2 + 27*r - 74. Let u be d(y). Which is smaller: u or -94/9? u Let n be -1*6/(-12)*108. Let m be (n/(-12))/(11/(-44)). Let w(f) = -f**3 - 7*f**2 - 8*f + 3. Let z be w(-6). Do z and m have different values? True Let q = 131 - -638. Suppose t = -q + 770. Are 2/13 and t unequal? True Suppose -4*i = 5*t + 388 + 251, 164 = -i + 3*t. Let u = 2689734/16751 + -2/16751. Let f = u + i. Which is bigger: -1 or f? f Let m(t) = t - 1. Let n(q) = q**3 + 5*q**2 - 4*q + 3. Let l(r) = 4*m(r) + n(r). Let d(x) = 8*x - 5. Let b be d(0). Let s be l(b). Is 0.1 <= s? False Let a(s) = -5*s**2 - 3*s - 1. Let t be a(1). Let d = t + 52. Suppose 4*y + d + 41 = 0. Is -19 at least as big as y? True Suppose -5*v - 507 = -1747. Let i = 293 - v. Is 45 > i? False Let k(h) = -4*h**2 + 28*h + 33. Let l be k(8). Is -11/597 != l? True Let v be (-2)/(-8) - 65/100. Let i = 12.96362 - -0.03638. Does i = v? False Let i be (-60)/3*(5 - 44/8). Let b be (-3*1)/(((-300)/190)/i). Which is greater: b or 130/7? b Let c be (39/(-1) - 1) + 1. Let u(v) = 3*v**2 + 30*v + 31. Let p be u(-9). Suppose -5*j - 6 = 4, 0 = 5*d + p*j + 3. Which is smaller: d or c? c Let k = -3202/31 + 2474960/23963. Which is smaller: 1 or k? k Suppose -15672 = -4*u - 3268. Let x be (8/12)/(28/u). Let o = x + -74. Is o less than or equal to -2/5? False Let m = 402 - 1123. Let y = 655 + m. Which is smaller: -63 or y? y Let t = 94 - 64. Suppose -108*w + 138 = -618. Suppose -w*x = t - 2. Is -0.07 at least as big as x? True Suppose 0 = -2*i - 21 + 5. Let r = -3898/7245 + -747/161. Let a = r - 29/9. Which is smaller: i or a? a Let i = 190412/31 - 6143. Is 0 at least i? True Let w = 14402 - 13802.7. Let j = w + -597. Is 0.8 at least j? False Suppose 2*p = -p. Suppose -30 = -3*c - 36. Which is smaller: p or c? c Let a(i) = -9*i**2 + 349*i + 51. Let s be a(39). Which is greater: s or -35? s Let a = -160 + 147. Let t(b) = 8*b + 80. Let x be t(a). Is x less than 2/15? True Let f = 0.14799 - -18.85201. Which is smaller: 2/311 or f? 2/311 Let y = -0.19 - -0.232. Let m = y - 0.442. Which is bigger: -5/11 or m? m Let n = 1.5 + 6.5. Let o = n + -8.1. Let i = -0.4 - o. Which is greater: i or 1/7? 1/7 Let z = -3 + 2.7. Suppose -2207 = -4*p + f - 533, -p + 412 = 3*f. Let y = 422 - p. Is z greater than or equal to y? False Let f(p) = 2*p**3 + p**2 + 4*p - 18. Let s be f(0). Let l be ((-5248)/(-96))/((-8)/s). Is l < 120? False Let k = -3 + 10. Let x = k - 13. Let f = 1482271 + -1482268. Is x <= f? True Suppose -79*q - 169 = -11. Is q at least as big as -92/43? True Let i = -233.9 + 220.77. Let m = 12.13 + i. Let q = -1.2 - 6.8. Is m at most q? False Let w be (-1 + (-3)/12)/(4/(-16)). Suppose w*x - 18 = -23. Which is smaller: -2/119 or x? x Let v(x) = -4*x**2 - 25*x - 5. Let l be v(-6). Let u be ((-3 - 4) + 6)*l. Which is smaller: -1/97 or u? u Suppose 2*w - 642 = -2*i, 0 = 13*w - 8*w - 25. Which is greater: i or -3? i Suppose 254 = j + 3*f, 3*j - 2*f + 0*f - 740 = 0. Which is smaller: 249 or j? j Let d be 1 + 5 + (-1 - 2). Suppose 0 = -0*i - 3*i + i. Suppose 4*k = 5*c - 9, i*c - 8 = -5*c + d*k. Is 2/131 < c? True Let q = -607/26 - -47/2. Is q at most 39? True Suppose -146*q + 4262 = -56*q - 148. Which is smaller: -7 or q? -7 Let t(j) be the second derivative of -9*j + 11*j**2 + 0 - 1/12*j**4 - 13/6*j**3. Let y be t(-15). Are -9 and y nonequal? True Let y = -1116.21 - -1109. Let o = y - -0.41. Is o >= -1/4? False Suppose 109*w - 354*w + 72765 = 0. Which is smaller: 287 or w? 287 Let w be 987/1284 + 12/(-16). Let t be ((-4)/(-10))/((-46)/115). Is t smaller than w? True Let w(g) = 2*g + 7. Let p be w(12). Let s = p - 96. Let c =
{ "pile_set_name": "DM Mathematics" }
e -4*t = g - 2, 42*g - 44*g + 4 = 2*t. Solve -3*d = -g*q - 15, d + 12 = -3*q + 2*d for q. -3 Let s = 11 - 8. Let p be (-130)/(-6) - (50/15)/(-10). Suppose 9*u + 4 - p = 0. Solve -s*c - 3*i = -0*c - 18, u*i - 24 = -5*c for c. 4 Let l(p) = 69*p - 1509. Let c be l(22). Solve 14 - 15 = 2*b + n, 3*n - c = -2*b for b. -3 Let d(u) = 6*u**2 + 2*u + 3. Let v be -5 + 6 - (1 - -25). Let b = v - -23. Let c be d(b). Solve 2*y - 3*l = -1, y = 6*y + l - c for y. 4 Suppose 407 = 11*i + 385. Solve 2*y = 4*x - 24, -2*y - i*y - 16 = 0 for x. 4 Let u be ((-4)/6)/(56/(-336)) + (1 - -4). Solve -7*i + 3*j = -6*i + 17, -i + j - u = 0 for i. -5 Let o = 481 - 470. Suppose 41*s - o*s = 0. Solve s = 5*l - 6*v + v + 5, -2*l - v = 5 for l. -2 Let r = -2180 + 2263. Solve 5*q + 1 = -r*m + 85*m, -q = -4*m - 7 for m. -2 Suppose -659 = 5*p + 4*j, -93 = 2*p + j + 173. Let s = p - -139. Solve -s*d = -l - 8, -l = -5*l + d + 13 for l. 4 Suppose -2*i + 3 = -3*h + 16, i + 17 = 3*h. Let a be (4 - h)*(-10)/6. Let z be (0/(-1))/(3 - 1). Solve z = 2*p + 5*f + 35, -3*f + 0*f = a*p + 40 for p. -5 Let b(g) = -2*g**2 - 117*g - 833. Let v be b(-50). Solve -2*z - 5*c = -v, 22 = 5*z + 3*c + 8 for z. 1 Suppose 3*c - 8*c = -30. Let q(v) = -56*v - 2124. Let l be q(-38). Solve l*h = -o + 9, -c = -3*o + 2*o - h for o. 5 Let d be 56/(-21)*33*(-5)/40. Solve -25 = -4*a - 3*f, 9*a + 23 = d*a + 5*f for a. 4 Let p(b) = -2*b**2 - 21*b + 29. Let r(u) = -u**2 - 10*u + 14. Let w(x) = -2*p(x) + 5*r(x). Let v be w(-9). Solve q = 3*s - 4, 4*q - 6*q + 19 = v*s for q. 5 Let j(x) = 4*x**2 - 109*x - 79. Let f be j(28). Solve -3*b - 587*w - 9 = -589*w, -f*w - 15 = 0 for b. -5 Let w be (-32)/10*((-1050)/(-840))/(1/(-28)). Solve 2*h + 12 = -p, -w = -3*p - h - 123 for p. -2 Let j be 12/(-66) - 3720/(-11). Let h = j - 334. Solve h*v - 15 = -3*r - 1, 4*v = -4*r + 16 for v. 2 Let o be 10*(0 + (-3)/(-6)). Suppose -3 = -40*d + 37*d, -5*k + 4*d = -6. Solve 0*h - k*h - 10 = 2*n, o*n + 25 = 5*h for n. -5 Let p be (3 + (-207)/(-21))/((-3)/(-14)). Let q be ((-8)/10)/((-482)/p + 8). Solve -5*n + q = 2*a, -5*a + 2*n - 6 = -4*a for a. 2 Suppose -s = -3*r - 4, 5*r - r = -4*s + 128. Solve 40 = 5*p - 5*k, 26*k = 21*k - s for p. 3 Let g = 85 + -100. Let y be 1 - (-6)/(-10) - 24/g. Suppose 8*c = y*c + 18. Solve -5 = 2*j - c*q, -j = 3*q - 3 - 8 for j. 2 Suppose -1130*o - 2*p + 2 = -1132*o, 4*o - 14 = p. Solve z = 4*l - 18, -2*z + 17 - o = 4*l for z. -2 Let f(k) = 2*k - 6. Let n be f(-17). Let t be 6*1 + n + 36. Solve -5*j = r - 1, -r - 2*j - t = -3*r for r. 1 Suppose q = -7, -88 = -4*s - 2*q + 178. Solve -2*u - 20 = -4*g, -2*g + 73*u = s*u - 18 for g. 3 Suppose 0 = -105*h + 416 + 844. Let b = 20 - -15. Suppose b = -h*z + 251. Solve -3*t + s - 4*s = 3, 2*t - 3*s = z for t. 3 Let v = 1929 - 1921. Solve 3*n + 4*o + v = 25, -n + 3*o = 3 for n. 3 Let z(w) = 9*w**2 + 409*w + 185. Let s be z(-45). Solve -13*f - 14 = x - 18*f, s*x + 14 = -3*f for x. -4 Let l = -3747 - -3749. Solve c = 3*n + 12, l*n + 6 = -5*c - 2 for c. 0 Let l be 20034/27 + -2 + 3. Let x = -739 + l. Solve 4*u - 4 - x = 0, -3*u = -2*i - 10 for i. -2 Suppose 3*i - 12 = -4*s + i, -4*i = 3*s - 9. Let w be s*(-4)/6 + 4. Let a = -682 - -686. Solve -4 = -3*l - 4*d + a, 5*l = w*d - 4 for l. 0 Suppose 12*b = 5*b + 49. Suppose 4*c - 5*r - 4 = b*c, -c + 4 = -r. Solve -j + 4*j = c*d - 3, -2*j + 4*d = -6 for j. -3 Suppose 0 = 7*y - 10 - 4. Let l = y + -8. Let h be l/(-4) + (-150)/(-12). Solve -2*s + 4*s - h = 4*i, i + 2*s = 9 for i. -1 Let m = 17954 + -17948. Solve 24 = 5*o + 3*r + 28, -m = 3*o + 3*r for o. 1 Suppose -4*b - 8 = 0, -19*d = -15*d + 2*b - 36. Solve 4*r - d*m = -5*m - 10, 3*r + 4*m - 8 = 0 for r. 0 Let d(u) = -226*u + 10627. Let j be d(47). Let q(a) = -a**2 + 9*a - 6. Let k be q(4). Solve w = -5*z + 15, -j*z - 5*w = -k - 21 for z. 2 Let z be (-6)/3 - (25/(-15)*6 - 8). Solve -2*c - z = -4*f - 2, 5*f - 16 = 3*c for c. 3 Suppose -4*x + 17 = -z, 2*z + 1 = -9. Solve -x*q + 3*u - 4*u = 4, -4*u + 26 = -2*q for q. -3 Let a be 10/(-600)*24*(-8 + -2). Let n = 12 - 7. Suppose n*y - 118 = -13. Solve -4*i + y = 5*z, 3*z - 15 = 4*z - a*i for z. 1 Let z(n) = 7 - 17 - 3 + 4*n + 8. Let p be z(5). Solve 3*h = -5*s - p, -1 + 11 = 2*s - 2*h for s. 0 Suppose 10*a + 5461 - 5761 = 0. Solve -5*u - 5*n = -a, 16 = 4*u - 3*n + 6 for u. 4 Let g(s) = s**2 - 24*s + 132. Let c be g(8). Solve -17 = 3*a - 2, 0 = c*x + 3*a + 19 for x. -1 Let s = 2927 + -2902. Solve s = -x + 5*c, -4*x - 4 = -0*x + 4*c for x. -5 Suppose -4*x + 4*o + 18 = 54, -2*x - 3*o = 8. Let y(g) = 2*g**2 + 14*g + 10. Let t be y(x). Solve -4*r = 20, -r - t = d + 4*d for d. -1 Suppose 5*v - 5*q = -50, 8*v - 3*q = 7*v - 18. Let u be 0*(8 + v)/4. Solve 4 = 4*h, -5*h = s - u*s - 10 for s. 5 Let l = 2702 + -2698. Solve -5*q = l*v + 16, -3*q + 2*v + 2*v - 16 = 0 for q. -4 Suppose -12 = 17*g - 21*g. Let a(j) = -4*j**3 + 12*j**2 + 3*j - 5. Let l be a(g). Solve r = -l*k - 9 - 4, 3*r = 3*k - 9 for k. -2 Let s = 8955 + -8944. Solve -16*v + s*v + 8 = 4*i, 0 = -3*v for i. 2 Suppose 3*j + 4 = 11 - 1. Solve j*i - 13 = -3*y, 3*i + 10 = 7 for y. 5 Let w(q) = -q**3 - 10*q**2 - 9*q + 3. Let t be w(-9). Let x = -145 + 145. Suppose x = -5*k + 13 + 2. Solve -3*u + b = 5*b + 10, t*u = 3*b - k for u. -2 Suppose -29 = -2*d + 4*y + 33, -3*y + 16 = d. Suppose -d*o + 23 + 52 = 0. Solve 4*w + 3*j = -3 + 17, o*j = -5*w + 19 for w. 5 Suppose -d - 8 - 5 = z, 0 = -5*d + z - 47. Let p be (-5)/(-12)*6*(-8)/d. Solve -15 = 4*v - y, 4*v + 7 - 1 = -p*y for v. -3 Let s = -4963 - -4984. Solve 4*l + 21*p - 16*p - s = 0, -2*p = l - 6 for l. 4 Suppose 3*f - 5*f = -32. Let r(l) = -2*l**3 - l**2 + 2*l - 1. Let a be r(-2). Suppose 9*m + a = 25. Solve -3*g - 5*h - f = 0, -5*g + 0*h = m*h + 14 for g. -2 Let t be (120/(-200))/(2/(-2*5)). Solve -h = t*z + 12, -5*h + 4*h - 9 = 2*z for z. -3 Let f = -3195 - -3196. Let p(q) = q**2 + 6*q - 5. Let k be p(-6). Let r be 3 + (f - -1) + k. Solve i - 3*m = r, -i + m - 3*m = 5 for i. -3 Let n(v) = -v**3 - 9*v**2 - 24*v - 3. Let k be n(-5). Suppose -3*m + k*i + 79 = 15*i, -3*m + 103 = 4*i. Solve m + 2 = -5*j + 4*a, -3*j + 4*a - 25 = 0 for j. -3 Let k = -1712 + 1715. Solve 15 = -k*a, -4*q - 2*a + 1 + 1 = 0 for q. 3 Let p = -606 + 608. Let w(b) = 13*b**3 - 2*b + 1. Let s be 2/1 - (2 + -1). Let o be w(s). Solve 19 = 2*k + p*k - m, -2*k - 2*m + o = 0 for k. 5 Let l(n) = -111*n + 350. Let h be l(3). Solve -4*i + b - h = -9*i, 0 = 4*i + 4*b - 4 for i. 4 Let r(j) = -3*j**3 + 27*j**2 - 28*j + 32. Let i be r(8). Solve 0 = -95*s + 96*s - m - 3, 2*s + 4*m + 24 = i for s. -2 Let c(z) = z**2 + 24*z + 138. Let a be c(-16). Suppose -a*j + 130 + 80 = 0. Solve 0 = 2*o + 10, -f = 2*f + 3*o + j for f. -2 Suppose -20 = -10*c + 2 + 8. Solve g - c*s - 71 = -58, -4*s - 14 = 2*g for g. 1 Let k(x) = -x**3 + 4*x**2 - x + 2. Suppose -8*j + 9*j - 3 = 0. Let c be k(j). Solve 0*r + 3*r = h + c, 0 = 4*h - 2*r + 22 for h. -5 Suppose -320 = -11*v + 6*v. Let t = v - 40. Let y be 1/(-3) - (-128)/t. Solve -y*l + 11 = -2*p, 5*p = -l - 2*l + 19 for p. 2 Let l(z) = -z**2 + 245*z - 957. Let f be l(4). Solve -f = 2*o - 5*u, -2*u + 2 = 2*o - 12 for o. 4 Suppose 340*r = 267*r + 146. Let f(u) = 2*u**2 + u + 1. Let g be f(-1). Let t be 18 - 3 - g/1. Solve 0 = -r*s - 2*m + 18, 0 = 5*m - 12 - t for s. 4 Let u(l) = 7*l**2 - 10*l + 29. Let c be u(4). Suppose -65 = 9*i - c. Solve -2*v = -i*a + a + 17, 5*v + a = 0 for v. -1 Let w(n) = -3 - n**2 + 2*n - 4*n**3 + 8 - 4 + 3*n**3. Let f be w(0). Let c be (-4 + f - -2)*1 - -4. Solve 2*o - 3*o + 15 = -c*l, 0 = 2*o - l - 10 for o. 3 Let m = 88 + -86. Let u(z) = -12 - 9 - 3*z - m. Let t be u(-11). Solve -2*c + o = -t, 4*c + 4*o = 5*c - 5 for c. 5 Suppose -5*b - 9 - 91 = 0. Let v(a) = -2*a**2 + 9*a + 53. Let f be v(-4). Let t = f - b. Solve 4*w + 1 = t*h + 4, 2*h = -2*w - 12 for w. -3 Let s(g) = g**3 - 28*g**2 + 2*g - 32. Let j be s(28). Suppose -j*k + 29*k = 25. Solve -q = 4*a + 2 - 8, -12 = -k*q - 2*a for q. 2 Suppose 45 = 11*m + 12. Suppose 5*d - 4*l + 305 = 0, m*l + 340 = d - 6*d. Let x = -61 - d. Solve x*z = -3*u - 7, -u = 3 - 6 for z. -4 Suppose 297 + 6 = 169*s - 204. Solve 12*k - s*z = 11*k - 1, 21 = -4*k - 5*z for k. -4 Suppose -3*s + 0 = -12. Suppose -w + 12 = 2*b - 12, -3*b + 34 = 2*w. Suppose -4 + 39 = 5*r. Solve u - b = -3*f + 2*u, -r = -s*f - u fo
{ "pile_set_name": "DM Mathematics" }
sqrt(1728)*-1))*-4). -sqrt(2)/24 Simplify (6*-6*2*(sqrt(40) + (sqrt(40) - (-3*sqrt(160)/sqrt(4) + sqrt(40))))/(((sqrt(5)*1 - sqrt(5)) + sqrt(5))*6))**2. 18432 Simplify -4*(sqrt(27) - (sqrt(108)*2 - sqrt(27) - sqrt(27))**2) + -3 + -3*3*sqrt(18)/((sqrt(54) + 1*sqrt(54))/sqrt(9)). -33*sqrt(3)/2 + 429 Simplify 3*((sqrt(153)/(sqrt(27)*6))/((sqrt(3) - -2*sqrt(363)) + (sqrt(24)/(sqrt(16)/sqrt(2)) - sqrt(3) - sqrt(3))))**2. 17/52272 Simplify 1 + ((sqrt(55) + (sqrt(3520) - sqrt(55)))/sqrt(5) + -1 + sqrt(44)/sqrt(4) - ((sqrt(275) - (sqrt(275) - (sqrt(275) + 0 + -2 + sqrt(275))))**2 + 5)). -1109 + 49*sqrt(11) Simplify (-1*(sqrt(720) - -1*(sqrt(720) + 0)) - (5*(-1 + sqrt(720)) + -3))**2*-3. -106032 + 4032*sqrt(5) Simplify (((sqrt(91) - sqrt(91)*-2)*2 - (sqrt(91) - (sqrt(91) - 1*sqrt(91)) - sqrt(91))*-3)*4)/((1*sqrt(7623))/(-2*sqrt(441) + sqrt(9) - sqrt(9))). -336*sqrt(13)/11 Simplify (sqrt(36)/(sqrt(3)*-4) - (sqrt(144) - (sqrt(144) + sqrt(144)*2))/sqrt(12))/(4*2*sqrt(6) + (-2*sqrt(150) - sqrt(150))). -sqrt(2)/4 Simplify 6*(2*(sqrt(700) + sqrt(700) + (sqrt(700) - sqrt(700)*-2*-6)))/(sqrt(576) - sqrt(8)/sqrt(50)). -2700*sqrt(7)/59 Simplify -3 + (((-1*sqrt(96) + sqrt(96))*1)/sqrt(8))/(sqrt(294) + sqrt(294)*-2 + sqrt(294) - (sqrt(6) + ((sqrt(96) - sqrt(24)) + sqrt(6) - sqrt(6))))*5. -3 Simplify (5 + -2 + (sqrt(65)*1)/sqrt(5) - (((sqrt(78) - 2*sqrt(78)) + sqrt(78) + sqrt(78))*-4 + sqrt(78))/(sqrt(36)/(sqrt(12)/sqrt(2))))**2 + -4. 24*sqrt(13) + 213 Simplify (-4 + (2*(sqrt(125) + -1) - (1*sqrt(125) + 1))*4)*-5. -100*sqrt(5) + 80 Simplify (2 + -6*-2*sqrt(832)*-2)**2 - (4*3*(-2 + sqrt(832)) + 1). -864*sqrt(13) + 479259 Simplify 5*-2*((sqrt(392)*-4)/sqrt(7))/(sqrt(968) - (2*sqrt(968) + sqrt(968)))*1. -20*sqrt(7)/11 Simplify -3*(sqrt(95)/(-2*sqrt(5)) + (sqrt(19) - (sqrt(228)/sqrt(3))**2) - 5*(0 + -2 + sqrt(304))). 198 + 117*sqrt(19)/2 Simplify -1*(((sqrt(78)/((3*sqrt(24) + sqrt(24) + sqrt(24))/sqrt(4)) - sqrt(104)/(sqrt(1152) + (sqrt(1152) - (sqrt(1152) - 1*sqrt(1152))))) + -4)*-2)**2. -235093/3600 + 76*sqrt(13)/15 Simplify 2 + ((-6*sqrt(66)/sqrt(3) + sqrt(132)/(sqrt(6)*2))/(-3*3*sqrt(200)) + -4)**2. -22*sqrt(11)/45 + 584531/32400 Simplify (6*(2 + -4*sqrt(432) + -2 - ((sqrt(432) - (sqrt(432) + sqrt(432) + -1) - sqrt(432))*-5 - (0 + (0 + sqrt(432) - sqrt(432))))) + -2)**2. -56448*sqrt(3) + 3048976 Simplify (5 + sqrt(200) + -2 + sqrt(200) + -2 + sqrt(200) + 5 + (sqrt(200) + 1*sqrt(200)*-2 - (-4 + sqrt(200) + 4)))**2. 120*sqrt(2) + 236 Simplify (1 + (5 + sqrt(847)*-3 + 0 + 4)*3 + 0)**2. -5544*sqrt(7) + 69391 Simplify ((6*sqrt(200)*-2 - sqrt(200))/(sqrt(8) - -6*1*sqrt(8)))/((-2*sqrt(605)*2 + sqrt(605) - sqrt(605))*-4). -13*sqrt(5)/1232 Simplify (-2 + (-3*(sqrt(128) + 2*(2 + sqrt(128)) + sqrt(128)) - (4 + sqrt(128) + -2*sqrt(128))*5)**2)*-1. -7294 - 3584*sqrt(2) Simplify (0 + 2 + sqrt(2299) + 0)**2 - (-2 + -2*sqrt(684))*-5. -16*sqrt(19) + 2293 Simplify (-2 + (-1 + sqrt(1088) + 4 - (sqrt(1088) + -5*-2*sqrt(1088)))*-6 + -3 + -4)**2*-4. -15670116 + 103680*sqrt(17) Simplify ((((sqrt(77) + sqrt(77)*1 - sqrt(77))*-4 + (sqrt(77) - (-1*sqrt(77) - sqrt(77) - sqrt(77))*-5))*4)/(-4*-5*-3*sqrt(176)))**2. 63/100 Simplify ((sqrt(102)/(sqrt(24)/sqrt(8)) + (sqrt(34)*3 - sqrt(34))*2)/(sqrt(2) + sqrt(72) + sqrt(2)*-4*4))**2. 425/81 Simplify ((-6*(2*sqrt(72) + sqrt(72)))/(sqrt(216)*-1))/((sqrt(6) + (5*(sqrt(6) - sqrt(96) - sqrt(6)) - sqrt(6)) - sqrt(6)) + sqrt(882)/sqrt(3)). -3*sqrt(2)/14 Simplify (2 + (2*sqrt(1050) + sqrt(42))/((sqrt(60) + sqrt(120)/sqrt(2))/sqrt(10))*-5*1)**2. -110*sqrt(7) + 21191/4 Simplify ((5 + (0 + sqrt(605) + -1 + sqrt(605) + -1)*2)*5)**2. 2200*sqrt(5) + 242025 Simplify ((-1*(-1 + sqrt(2299)))**2 + sqrt(2299) + -1 + 3)*-2 - (sqrt(57) - (sqrt(57) - sqrt(513))*-2)/((sqrt(3) - sqrt(12)/sqrt(196)) + sqrt(3)). -4604 + 307*sqrt(19)/13 Simplify (sqrt(15)/(sqrt(15)/sqrt(3)) - (sqrt(33)/(sqrt(11)*4) + sqrt(3)) - 2*(sqrt(30)*-1)/sqrt(10)*-5)**2. 5043/16 Simplify (((sqrt(16)/sqrt(2))/sqrt(4) - (sqrt(128)*1)**2) + sqrt(24)/((sqrt(12) - sqrt(12)*3) + sqrt(12)) + -1 + sqrt(8)/sqrt(4))*-1. -sqrt(2) + 129 Simplify ((sqrt(1666) + -5*sqrt(1666)*-1 + sqrt(1666) - sqrt(1666)) + sqrt(1666) - -2*sqrt(1666)*-4)/(sqrt(2) - (-5*sqrt(98) + sqrt(2)) - sqrt(144)/sqrt(2)). -7*sqrt(17)/29 Simplify -6*(-4 + ((sqrt(2) + -1)*4 + sqrt(2) + (sqrt(2) - sqrt(128)) - sqrt(24)/(sqrt(132)/(sqrt(11)*1)))). 18*sqrt(2) + 48 Simplify -2 + ((sqrt(42)/(sqrt(24)/sqrt(64)) + 2 - -4*(-5 + -2*sqrt(7) + sqrt(7))*2) + -5)**2. 344*sqrt(7) + 1959 Simplify (-1*(sqrt(6480) + -6*sqrt(6480)*-2))/((1*sqrt(81)*-5 + sqrt(81))/(1*sqrt(1089))). 429*sqrt(5) Simplify (-3*((sqrt(117) - 3*(sqrt(117)*-2 + sqrt(117))) + sqrt(117) - (sqrt(117) - (sqrt(117) + -2*sqrt(117)*1))))/((sqrt(243)*-1)/(sqrt(36)/sqrt(192))). 3*sqrt(13)/4 Simplify (sqrt(143)/sqrt(176)*-1)**2 - (3*sqrt(208) + 5) - 6*(-4*(1*sqrt(1300))**2 + -4). -12*sqrt(13) + 499517/16 Simplify ((sqrt(171) - -1*sqrt(171)*4) + 3*1*sqrt(171))/(3*-6*(-1*sqrt(54))/sqrt(6)). 4*sqrt(19)/9 Simplify -6*((sqrt(768) - (-3 + (-2*sqrt(768) - sqrt(768)) + sqrt(768))) + 2 + -5)**2. -41472 Simplify ((sqrt(119)*-1*-4 + 1*(sqrt(119)*-1 - sqrt(119)))/((sqrt(7) - (sqrt(56)/(sqrt(8) - sqrt(72)) - sqrt(7))) + -2*sqrt(7)*-1))**2*3. 272/27 Simplify (-3*sqrt(76) + 4 + sqrt(76) + sqrt(76) + 0 + 1)**2 - ((1 + sqrt(76))*4 + -3). -28*sqrt(19) + 100 Simplify (((5*sqrt(33)*2 - ((-2*sqrt(3993) + sqrt(3993) - sqrt(3993)) + sqrt(33)))/(1*3*sqrt(176)) + -4)*-2)**2. -248*sqrt(3)/3 + 1729/12 Simplify (-2*sqrt(65)*4 + sqrt(65)*-2*3 + sqrt(65))/((-4*sqrt(250))/sqrt(2)). 13*sqrt(13)/20 Simplify ((3*sqrt(931) + 0)*2 - (sqrt(931) + 0 + 5 + sqrt(931) - (-4 + (sqrt(931)*2 - sqrt(931))))**2)*3. -3036 - 252*sqrt(19) Simplify 3*(-5*(4 + -4*(2*sqrt(180)*6 + 1*sqrt(180)*-4))**2 + -1). -2765043 + 23040*sqrt(5) Simplify (2*(-2 + sqrt(275)) + (sqrt(275) - (2 + sqrt(275))*1))**2 + 3 + (1 + sqrt(275))*5 + -1. -95*sqrt(11) + 1143 Simplify (5*sqrt(175)/(sqrt(20)/sqrt(4))*5)/((sqrt(252) + sqrt(252) + sqrt(252)*2 + sqrt(252))/(sqrt(90)/sqrt(40) + sqrt(9))). 15*sqrt(5)/4 Simplify -4*((-1 + (sqrt(432)*-2 + sqrt(432))*4)*-5)**2 + -1 + 3. -691298 - 9600*sqrt(3) Simplify ((-1*((0 + sqrt(175) - sqrt(175)) + sqrt(175) + -2) - (-5*1*sqrt(175) - (sqrt(175)*-2 - sqrt(175))*-2)) + 0)**2. 200*sqrt(7) + 17504 Simplify (sqrt(130)*-1*3*5*3)/(sqrt(10)*-2*4 - sqrt(360)*-3). -9*sqrt(13)/2 Simplify (3 + 3*((-6*sqrt(171)*-2 + sqrt(171) - sqrt(171))*-6)/(sqrt(27)/(sqrt(162)/sqrt(6))))**2 + 3. -3888*sqrt(19) + 7978188 Simplify sqrt(847)*3 + (sqrt(21)/sqrt(3) + 3)**2 - -6*(sqrt(154)/(sqrt(11)*2))/sqrt(2). 16 + 42*sqrt(7) Simplify (-4 + ((sqrt(65) - -2*sqrt(65))*6 - 1*(sqrt(65) - (sqrt(65) - (sqrt(65) + 1*sqrt(65) + sqrt(65)))))/(1*sqrt(80) - 1*sqrt(500)))*-3. 12 + 15*sqrt(13)/2 Simplify (sqrt(152)/(2*sqrt(392)) - (-6*(-1 + sqrt(684)))**2) + (-1 + -2*sqrt(171) - ((sqrt(190)*-1 + sqrt(190))/sqrt(10) + 4))**2. -23951 + 6889*sqrt(19)/14 Simplify 1*(1*(sqrt(76) + 1) - sqrt(76) - (sqrt(76) + -1 + 3)) + sqrt(76) + 2 + 0 + (0 + (sqrt(76) - (sqrt(76) + sqrt(76) + 2)) - sqrt(76))**2. 16*sqrt(19) + 309 Simplify (((sqrt(252)*-1 - sqrt(252)) + sqrt(252))/sqrt(12) + sqrt(63)/(sqrt(3)*-2))/(sqrt(27)*2 - -2*sqrt(432)). -sqrt(7)/20 Simplify ((2*5*sqrt(242))**2 - (-3 + 4*sqrt(242))) + 3 + (sqrt(242) + sqrt(242)*-1)**2*5 + sqrt(242) + 1. -33*sqrt(2) + 24207 Simplify (-4 + (sqrt(425) - -2*sqrt(425)))**2*-4 + 2 + sqrt(272) + sqrt(425)*-1 + -5. -15367 + 479*sqrt(17) Simplify 1*(2*(sqrt(704) + (sqrt(704) - (3 + 5*sqrt(704)))) - ((-3*sqrt(704)*5 - sqrt(704)) + -2))**2*2. -1280*sqrt(11) + 140832 Simplify (5*((sqrt(170) - 2*sqrt(170) - sqrt(170))*5 + ((sqrt(170) - (sqrt(170) - (sqrt(170) - sqrt(170)*2))) + sqrt(170))*-6))/(sqrt(400)/sqrt(160)*-3). 100*sqrt(17)/3 Simplify (sqrt(132)/sqrt(36) + sqrt(33) + (4*sqrt(3993) - sqrt(3993) - sqrt(3993)))/(4*(-5*(sqrt(300) + sqrt(300)*1) - sqrt(300))). -7*sqrt(11)/132 Simplify (4*(-1*(sqrt(891)*-1 + 2 - (sqrt(891) + 6*(sqrt(891) + 1))) + 1 + 3*sqrt(891)*1*-1))**2. 7200*sqrt(11) + 356800 Simplify 4 + ((sqrt(2736)*-1 + 5)*-2 + (sqrt(19) + sqrt(19) + 1 + -4 - (2 + (sqrt(19) + -1)**2))*-6)*-4. -556 Simplify sqrt(245) + -5 + -3*(sqrt(45) - sqrt(5)) - (sqrt(540)*1 + sqrt(540))/(sqrt(12) + sqrt(12) + sqrt(216)/sqrt(2)). -5 - sqrt(5)/5 Simplify 5
{ "pile_set_name": "DM Mathematics" }
2*b + d*b - 3*y + 18 = 0 for b. -3 Suppose 0 = -0*r - 2*r - 2*q + 38, 0 = -3*r - 5*q + 55. Suppose -5*x + l = -0*l - r, 5 = -x + 2*l. Solve -5*u = 5*w + 25, x*w = 2*u - u - 1 for w. -1 Let u(d) = d**2 + 73*d + 828. Let x be u(-14). Solve 5*a - x*h + 7 = 0, -6*h = -11*h - 20 for a. -3 Let t = 2598 + -2596. Solve -s - 9 + 2 = 2*i, t*i + 12 = -2*s for s. -5 Let h = 6 + -8. Let y(p) = p**3 + p**2 - p + 2. Let w be y(h). Suppose w = -8*v + 11*v - 15. Solve a - 4*s = s - 18, -v*a + 26 = 4*s for a. 2 Let v(x) = -2*x + 1. Let r be v(5). Let d = r - -9. Solve 2*l + s + 3 = d, 3*l + 6*s = 2*s + 8 for l. -4 Let h = 0 - -3. Suppose 41*r - 104 - 19 = 0. Solve -2*l + d - 2*d = 3, -4*l - h*d = r for l. -3 Let d(l) = -3*l - 2. Let v(p) = 3*p + 124 + p - 121 + p**2. Let o(t) = 4*d(t) + 3*v(t). Let g be o(-1). Solve g = w + 1, -5*w - 1 = 4*h for h. -4 Let o = 15 - 56. Let x = -24 - o. Solve -4*p - x = q - 0*p, 0 = -4*p - 20 for q. 3 Suppose -5*t = -t - 8. Let n(j) = -j**2 + j + 1. Let m be n(0). Suppose 0 = -a + m + t. Solve -4*u - 20 = 0, a*d - 9 = 4*u + 5 for d. -2 Let i be -6*((-9)/3 - -5). Let c = -4 - i. Suppose 5*s - 9*s + c = 0. Solve 24 = 4*z - 5*p, s*z = -4*p - 8 - 6 for z. 1 Let x = 130 + -126. Solve 2*f = b + 8, -3*b + x*f - 28 = -7*b for b. 2 Suppose -2*y + 100 = -v + 4*v, -72 = -2*v - 4*y. Solve 3*i - 8 = g + 7*i, -5*g + 4*i + v = 0 for g. 4 Let c = -139 - -143. Solve 0*y = q - c*y - 13, 0 = q - 2*y - 5 for q. -3 Let c(n) = n**3 + 8*n**2 + 7*n + 7. Let t be c(-7). Suppose 0*q - t*q = -14. Solve 2*v = -3*r + q, v - 15 = 5*r - 1 for v. 4 Let h(x) = -x**2 - 6*x - 3. Let f be h(-5). Let o(m) = 3*m**2 + 3*m - 3. Let j be o(2). Let c = 3870 + -3868. Solve -s = -w + f*w, -w - j = -c*s for w. -5 Suppose 3*g - 3 - 3 = 0. Let q be ((-493)/(-34))/(g/4). Suppose -4*h = -93 + q. Solve 4*f = -h, -5*i + 4 = -4*i - f for i. 0 Suppose -7*r + 2 - 30 = 0. Let q be (0 + r)/((-34)/17). Solve q*b + b - 3 = -3*u, -b - 2*u = 2 for b. 4 Let d be 2/(-6) + -13 + 949/39. Solve 5*n = -s - 4 - d, -4*s = 5*n for n. -4 Let a(q) = q**3 + 4*q**2 - 12*q - 44. Let w be a(-4). Solve v + 4*i - 17 = i, -w*v + 2*i = 2 for v. 2 Let r = 47 - 42. Let j = -6 + 9. Suppose 71 = 4*z + j*o + 6, -o = 5. Solve -5*p + r*m = -z, -m = 4*p + 8 - 29 for p. 5 Suppose -6 - 12 = -2*n. Suppose n*q - 3*q = 12. Solve 0 = -q*i - 2*d - 0 + 2, -d - 1 = 0 for i. 2 Let w be (-8)/1 + (181 - 169). Solve -w*j = 2*x - 8, 9 = j - 4*x - 11 for j. 4 Suppose -2*n = 4*m - 16, 4*n - 6*n + 4*m - 8 = 0. Let f(r) = -r**3 + 4*r**2 - 3*r + 1. Let i be f(n). Solve -i*v = 3*t + 15, 3*t + 20 = -t + 5*v for t. -5 Let u(j) = -8*j - 4. Let r be u(-6). Let l = r - 38. Solve q + a + l = 3, -5*q + 3*a + 9 = 0 for q. 0 Let n(f) = -f - 2. Let q be n(-4). Suppose -2*b - 8 = 0, -q*x + 4*b - 21 = -79. Let p be -2 - (-7)/(x/12). Solve -v + 2*h - 13 = p*v, 0 = -3*v + 4*h - 23 for v. -1 Suppose 0 = 24*o - 63*o + 117. Solve 6*k - k = -o*i - 3, -i - k - 1 = 0 for i. -1 Let p(v) = -4*v + 84. Let h be p(17). Solve -g = 5*a - 12, g + 5*a - h = -2*g for g. 2 Suppose 2*v = 10*v + 256. Let d = -5 - v. Solve -2*u + 10 = -n, -5*n = d - 7 for u. 3 Let p be 1/3*(99 - 0). Suppose -9*s + p = 2*s. Let f = 10 - 5. Solve -f*g - 18 = k, 0*k - k - 12 = s*g for g. -3 Let n = 352 + -244. Let p = -36 - -39. Suppose -4*w - k + n = 4*k, p*k - 81 = -3*w. Solve -z + 0*i = -2*i - 7, -4*z = 3*i + w for z. -3 Suppose -11 = -2*s + 11. Suppose 13 + s = 8*p. Solve -4*r - 32 = -12, -2*d + 21 = -p*r for d. 3 Suppose 2*w - 17 = -3*j, 0 = 4*j - 0*j + 5*w - 32. Let y be (j - (-20)/(-8))*6. Solve h = 4*q - 7, 18 = y*h - q + 2*q for h. 5 Suppose 42*d - 34*d = 0. Solve v + d*v = p, 3*p = -4*v - 28 for p. -4 Suppose -5*l = 0, -5*c - 2*l = -0*c - 0*c. Solve -1 = 5*v + 3*o, v - 3 = o - c for v. 1 Suppose -4*q - 6445 = 5*l, 3*q + 6837 - 2003 = -4*l. Let s be (-4)/(-18) + q/(-126). Let i = -8 + s. Solve z + 3*m - 2 = 0, -2*z + i*z + 1 = -2*m for z. -1 Let m = -802 - -810. Solve -3*f + 13 = -x, 0*x - 2*f + m = -x for x. 2 Suppose -y - 51 = -2*t, -4*y = 10*t - 14*t + 92. Solve i - 4 = 3*i, -4*i = 5*a + t for a. -4 Suppose -5 = 9*m - 8*m. Let j be (-50)/20*8/m. Solve -2*c + j*z - 6 = 6, 0 = -4*z + 12 for c. 0 Let s(v) = v + 1. Let b(i) = -3*i - 2. Let t(p) = -2*b(p) - 7*s(p). Let y be t(-6). Let h be 2/(-8) - (-26)/8. Solve 2*o = y*a + 19 - h, 0 = 2*o + a for o. 2 Suppose 4*k + n = 2*n + 34, k - 4 = -2*n. Let r = -22 - -24. Let o be (r*1)/(8/16). Solve -5*a - 5*f = 5, 0 = 5*a - 4*a + o*f - k for a. -4 Let z be (-63)/15 + 2/10. Let b be z*(-2)/4*1. Suppose 77*w - 70*w = 21. Solve -4*u = -5*i, -45 = -b*i - w*i - 5*u for i. 4 Suppose -4*b = -z - 15, -b + 27 + 3 = 5*z. Solve -z*j - 5 = 2*f, -2*j - 4 = 2*j + 2*f for j. -1 Let f(z) = z**2 - 9*z - 19. Let w be f(-2). Solve -4*y - w - 11 = -5*k, -3*k + 2*y + 8 = 0 for k. 2 Let i = -567 - -576. Solve 0 = 2*o + s - 2*s - 13, 0 = -3*s - i for o. 5 Suppose 5*r - 552 = -487. Solve -2*u + r = -3*d - 3, -u - 3*d - 1 = 0 for u. 5 Let m be (-248)/(-60) + 10/(-75). Solve f - d - 18 = -4*d, m*f + 3*d - 27 = 0 for f. 3 Let i(n) = -n**3 + 10*n**2 + 12*n + 4. Suppose 32 = 2*s + 5*d, 3*s = 6*s - 5*d - 23. Let g be i(s). Solve -5*m - 4 = -2*b, 2*b + 3*m + g = -b for b. -3 Suppose 3*f - 96 = -3*s, -9*f - 3*s = -5*f - 128. Suppose 1 = 3*d - 2, 2*w = -d + 7. Let r = 6 - w. Solve 4*h - f = -5*k, -h - 2*h - r = -3*k for h. 3 Let q be (-27)/18*440/(-6). Suppose q = r + 107. Solve -d - 2*d + 15 = -5*p, r*p - 4*d = -20 for p. 0 Let a(z) = z**3 - z**2 + 2*z - 6. Let v be a(0). Let s be 3/9 - 28/v. Solve -g = 5*k - 9, 2*k = s*g - 0 + 9 for k. 2 Suppose 9*g = 18 + 9. Solve -g*n = -3, 2*n + 3 = -2*z + 13 for z. 4 Let o(d) = -17*d - 117. Let s be o(-7). Solve 3 = 3*p + 4*j, j + 19 = s*p - 2*j for p. 5 Let i(u) = 6*u + 352. Let k be i(-58). Solve g - m + 8 = 5, -m + 9 = -k*g for g. -2 Suppose -7*p + 3*p + 20 = 0. Solve -p*w + 3*b + 20 = 0, 0 = -w - 4*w - b + 20 for w. 4 Suppose -2*i + i + 4*r + 8 = 0, -6 = -i + 2*r. Solve -4*m - x = -11 - 3, 0 = 2*x + i for m. 4 Let y(j) = j**3 - 4*j**2 + 2. Let w be y(4). Let c = -55 - -62. Let q(l) = -l**2 + 6*l + 6. Let s be q(6). Solve -f - s = -3*v, 4*f = -w*v - c - 3 for f. -3 Suppose -440 = 8*z - 440. Solve 0 = 4*h + 4*d - 8, 3*h + z*d - 11 = 2*d for h. 3 Let x(i) = -3*i - 16. Let r(f) = -49 - 2*f - 10*f + 3*f. Let n(b) = 4*r(b) - 11*x(b). Let q be n(-13). Solve -3*y + 3*o = -2*y - q, -5*o = -y + 29 for y. 4 Let o = 30 - 30. Suppose 3*p - 5*c - 65 = 0, 5*p + o*p - 117 = 4*c. Solve r = n - 14 + 5, -5*n + p = -r for r. -5 Suppose -y = -3*h + 1 + 4, 2*y = 4*h. Let m be ((-6)/15)/((-2)/y). Solve m*r + 0*t - 5*t = -9, 5*r + 4*t + 6 = 0 for r. -2 Let x be (21/28)/(-1*(-1)/36). Suppose 5*t - 36 = -2*d - 11, -3*d = 3*t - 24. Solve -3*n - 2*n = t*y + x, 2*y = 5*n + 7 for y. -4 Suppose -3*g + w + 3 = 3*w, -3*w = 9. Solve g*h - 2 = 2*o + 6, -4*o - 10 = -3*h for o. -1 Let f(p) be the third derivative of -p**4/6 + 25*p**3/6 - 45*p**2. Let c be f(5). Solve 1 = q - 4*j - 8, -c*q = j - 24 for q. 5 Suppose t - 5 = -0. Suppose -t*p - 4*p = -2*p. Solve 3*g - g - 6 = 3*s, 3*g - 3*s - 6 = p for g. 0 Let t be (3/27*4)/(38/171). Solve -t*v - 14 = 2*z, -v + 4*z = 3*z - 3 for v. -2 Suppose -5*r = -5*f - 535, -3*r = -5*f - 0*f - 331. Let x = 102 - r. Solve 2*d - 4 = -x*d, 3 = -5*j - d for j. -1 Suppose -f + 11 - 6 = 0. Suppose 3*g - 17 = -s, 0 = -4*s - 0*s + 2*g + 54. Suppose 5*m - 6 = s. Solve 7 = f*c + 3*i - 2, -m*i - 5 = c for c. 3 Let j = 9 - 4. Let o(u) = u**2 - 6*u + 7. Let k be o(j). Let v be (-114)/(-5) - (-88)/40. Solve 5*n - v = 0, -q = q - k*n for q. 5 Let s(d) = -2*d + 32. Let h be s(15). Suppose 1 = -h*n - 4*f + 3, 0 = n - 4*f - 13. Solve -3*i + n = q, -i = -4*q + 2*i - 10 for q. -1 Let n be (-3*4/(-12))/((-13)/(-26)). Solve -21 = -p + 4*u, n*p = -u - 3*u - 6 for p. 5 Let l(v) = v - 1. Let h be l(12). Let d = h + 0. Let m = d + -5. Solve -4*s - m = 5*z, 2*s - z = z - 12 for s. -4 Suppose 0 = -s - m - 4*m + 14, -3*s = -3*m - 24. Solve 2*p - s = 2*t + p, 0 = 4*t - p + 13 for t. -2 Let x(d) = d**3 - 8*d**2 - 8*d - 8. Let w be x(9). Let z be (3 + 2 - w)*(-3)/(-4). Solve -z*v = -2*h - 2, 3*v + 22 = -0*v - 4*h for v. -2 Let u be (6/(-4))/(((-156)/(-16))/(-13)). Suppose u*k + k = 9. Solve -3*w + 2 = 2*f - 6*f, k*w = 3*f for w. -2 Let v be (22/(-10))/((
{ "pile_set_name": "DM Mathematics" }
3036 a multiple of 67? False Is 198071158 a multiple of 953? False Is 82586216 a multiple of 25? False Does 150 divide 287492550? True Does 182 divide 133860335? False Is 375 a factor of 937861? False Does 787 divide 17635096? True Does 233 divide 75355229? True Is 74744208 a multiple of 297? True Does 919 divide 29669291? False Does 2283 divide 53698443? True Does 246 divide 842869062? True Is 8 a factor of 765004577? False Does 3139 divide 357993533? True Is 4 a factor of 90514944? True Is 153 a factor of 2805033762? True Does 3876 divide 523519692? True Is 6541244 a multiple of 38? True Is 30764400 a multiple of 827? True Does 12 divide 38994204? True Is 349501334 a multiple of 17? True Is 368254908 a multiple of 252? True Is 241752535 a multiple of 45? False Is 1652986998 a multiple of 6299? False Is 109299978 a multiple of 118? True Is 15 a factor of 8288520? True Is 46536895 a multiple of 12? False Is 70704356 a multiple of 1502? False Is 66783277 a multiple of 692? False Is 1264891731 a multiple of 12? False Is 98790763 a multiple of 12? False Is 86710465 a multiple of 6? False Is 3015 a factor of 18174420? True Is 24 a factor of 52815864? True Is 60941736 a multiple of 3235? False Does 17 divide 1884691276? False Is 18 a factor of 2477180739? False Is 5 a factor of 87006805? True Is 267 a factor of 139532331? True Is 3436 a factor of 142528716? True Does 3966 divide 268145226? True Is 3159659362 a multiple of 4185? False Is 254438535 a multiple of 897? True Is 8 a factor of 35744944? True Is 186 a factor of 97713614? False Is 54 a factor of 123441526? False Is 59128300 a multiple of 110? True Is 138 a factor of 4673442036? True Does 4 divide 51161862? False Is 30104064 a multiple of 141? True Is 215 a factor of 249105880? True Does 84 divide 10598112? True Does 1434 divide 100627962? False Is 6 a factor of 908779458? True Is 179 a factor of 1637762827? True Does 66 divide 100218228? True Is 22 a factor of 45838232? 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True Is 1057235319 a multiple of 1449? True Does 15 divide 19362302? False Is 124502373 a multiple of 459? True Does 804 divide 161613648? True Is 228 a factor of 641507069? False Is 1201 a factor of 715870462? True Is 8 a factor of 5749037861? False Is 43 a factor of 57649869? False Is 8196544 a multiple of 7? False Is 33687518 a multiple of 194? True Is 28 a factor of 748282? False Does 52 divide 23319576? False Is 68 a factor of 1825629074? False Does 11 divide 213346155? True Is 631 a factor of 17251145? False Is 29300880 a multiple of 815? True Is 636 a factor of 269171100? True Is 63331067 a multiple of 905? False Is 20024337 a multiple of 30? False Is 3 a factor of 325983133? False Is 140971779 a multiple of 2743? False Is 209744870 a multiple of 10? True Does 125 divide 1741307603? False Is 65 a factor of 520980993? False Does 162 divide 17510729? False Does 1360 divide 224137520? True Is 2669078024 a multiple of 2686? False Is 620332584 a multiple of 558? False Does 115 divide 43363466? False Does 28 divide 28121324? True Does 18 divide 158981832? True Is 10 a factor of 136466921? False Is 38686425 a multiple of 795? False Does 68 divide 33630080? True Does 61 divide 51565795? False Is 6117 a factor of 384025260? True Is 19 a factor of 770434724? True Is 249647265 a multiple of 618? False Is 46 a factor of 79272572? False Is 75 a factor of 1604465400? True Is 18384261 a multiple of 5? False Is 5053 a factor of 327050372? True Does 311 divide 14219147? False Is 3546 a factor of 1769495625? False Is 4 a factor of 270486308? True Is 55 a factor of 22866711? False Does 13 divide 2926852? False Does 1700 divide 89910844? False Is 170 a factor of 6105413? False Is 10 a factor of 14296030? True Is 1086 a factor of 312530168? False Is 637528409 a multiple of 634? False Does 5103 divide 465614156? False Is 821181818 a multiple of 146? True Is 44 a factor of 1994349792? False Is 5285 a factor of 613479502? False Is 83 a factor of 274677544? True Is 8 a factor of 61046936? True Is 250640062 a multiple of 1297? True Is 252467243 a multiple of 7511? True Is 837885178 a multiple of 2863? False Does 279 divide 233216743? False Is 85 a factor of 50240865? True Is 46 a factor of 79252710? True Is 4027874271 a multiple of 35? False Does 388 divide 192706020? True Is 60110400 a multiple of 35? True Is 2522560338 a multiple of 128? False Does 81 divide 127733274? True Is 82628199 a multiple of 9? True Is 1099274621 a multiple of 9632? False Does 25 divide 19190082? False Is 11 a factor of 747795976? False Is 2398 a factor of 381202866? True Is 59117037 a multiple of 1603? True Is 74750722 a multiple of 104? False Is 1231165977 a multiple of 184? False Is 945 a factor of 65828700? True Does 2400 divide 42500344? False Is 44991279 a multiple of 547? False Does 8 divide 24809646? False Is 453 a factor of 161967885? True Is 90473132 a multiple of 17? False Is 25 a factor of 1147681575? True Is 19244307 a multiple of 23? True Does 937 divide 509779576? False Is 147393365 a multiple of 4? False Is 731 a factor of 74608784? True Is 144682932 a multiple of 82? True Is 431 a factor of 11124972? True Does 290 divide 4480657591? False Is 67027 a multiple of 6? False Is 171 a factor of 666861034? False Is 42 a factor of 4125240? True Is 25142768 a multiple of 801? False Is 36932682 a multiple of 15? False Is 1907076578 a multiple of 7975? False Does 275 divide 41788725? True Is 19 a factor of 21518294? False Is 393524532 a multiple of 793? False Is 11 a factor of 651065? False Is 224228028 a multiple of 2669? True Is 133 a factor of 184665897? False Is 3 a factor of 49895076? True Is 80362275 a multiple of 175? True Is 7 a factor of 14081528? False Does 11 divide 2333462? False Does 174 divide 340774650? True Does 357 divide 82366700? False Does 1783 divide 48016117? False Does 159 divide 8002113? False Is 75551550 a multiple of 575? True Does 7590 divide 917790390? True Is 4719733 a multiple of 382? False Is 783154356 a multiple of 12? True Is 520602253 a multiple of 59? True Is 22 a factor of 4361092758? True Does 44 divide 1463148795? False Does 698 divide 111853951? False Is 11811852 a multiple of 2327? True Does 104 divide 33359456? True Does 335 divide 272421330? True Is 14423593 a multiple of 349? False Does 126 divide 46539738? True Is 6200 a factor of 957444619? False Is 1095174850 a multiple of 1870? True Does 49 divide 398550595? False Is 633677455 a multiple of 5795? True Is 447 a factor of 16528719? True Is 20 a factor of 1993924900? True Does 91 divide 18560787? False Does 52 divide 44495100? True Does 16 divide 1058829509? False Is 2708 a factor of 9105584? False Is 291 a factor of 18200886? True Is 55404168 a multiple of 8? True Does 921 divide 361777468? False Does 669 divide 428961462? True Is 115 a factor of 605904065? True Is 192973365 a multiple of 3155? False Is 19 a factor of 199301887? True Does 456 divide 2756301796? False Is 6738262 a multiple of 185? False Does 424 divide 153469344? True Is 322991383 a multiple of 13? True Is 218 a factor of 8111404? False Is 13240008 a multiple of 1972? True Does 3200 divide 368780800? True Is 823 a factor of 2813392580? True Is 69 a factor of 766846680? True Is 30779108 a multiple of 8742? False Is 4
{ "pile_set_name": "DM Mathematics" }
Let o = 24 - d. Let f = 8.8 - o. What is the closest to 0 in -0.1, f, -2/13? -0.1 Let r = 211.12 + -206. Let w = 0.12 - r. Let b be 2 + ((-50)/13 - -2). What is the closest to 1 in 0.1, w, b? b Let w = 4.8451 - -0.1549. Which is the nearest to -4/19? (a) -0.3 (b) 1/2 (c) w a Let q(z) = -z**3 + 13*z**2 + 46*z + 36. Let y be q(16). What is the closest to 9 in 0.2, y, 0.4? y Let b = -425.5 + 425. What is the nearest to 0 in 0.1, 2/7, b, 9? 0.1 Let n = 37.2 - 38. Let k = 8.6 + -7.6. Which is the nearest to 1/4? (a) n (b) 5 (c) k c Let h = 0.02 + -0.32. Suppose -28*l + 7*l = -21. What is the nearest to -2/9 in h, 5, l? h Suppose -9 = -5*u + 11. What is the nearest to -0.1 in u, -2/3, -2, -30? -2/3 Let j = -125.3 + 125.1. What is the nearest to -1 in 22, -0.5, -2/5, j? -0.5 Suppose 29 = -o - 349. Let t be (-9)/6*(-24)/o. Which is the closest to 0.1? (a) -2/11 (b) t (c) 1 b Let m = 261.2 + -257.2. What is the closest to -0.3 in -3/8, 2/3, m, -4? -3/8 Suppose -2*u + 32 = -2*y + 34, 3*y - 9 = 0. Let p = 2.4 + -0.4. Which is the nearest to p? (a) u (b) -3/16 (c) 1/3 a Let u be -1 + (110/106)/1. Let h = u - 63/265. Let t = -40 + 43. Which is the nearest to 1? (a) h (b) t (c) -2/5 a Let g = 1 + -1.2. Let y = 51/2 + -25. Let z = -184 - -185. What is the closest to z in g, y, -3? y Let a = -436.1 + 437. What is the nearest to -1 in 2/5, 2/15, a, 4? 2/15 Let t = 730 - 735. What is the nearest to 0 in t, 38, -4, 3? 3 Let s = -14 + 73/5. Let u = -15.8 - -105.8. Let p = -85 + u. Which is the closest to s? (a) p (b) -2 (c) 0.4 c Let d be (3/5)/(-1)*-5. Let y be (-17)/(-7) + (-3)/d. Let q = y - 37/21. What is the closest to -2/5 in q, -4, -1/2? q Let u = -44.048 - -0.048. Let f = 43 + u. What is the nearest to f in 0, -1/5, -1? -1 Let g = 1 - 1. Let y = 0.413 + -0.813. What is the nearest to 1 in y, -1, g? g Let v = -229 - -224.5. Which is the closest to v? (a) 2 (b) 0.5 (c) 4 b Suppose -c - 4 = 3*c. Let a be (-53)/18 - c/(-2). Let k = -29/9 - a. What is the nearest to 0 in k, -0.5, 2/7? k Let o = 4.9 - 0.9. Let g = 1.54 - 0.54. What is the nearest to 0.1 in -0.2, o, g? -0.2 Let i = 23 + -23.38. Let y = -0.18 - i. Let d = 3.1 + -2.7. Which is the closest to d? (a) -3/5 (b) -4 (c) y c Let m be -3 + ((-184)/(-18) - 7). Which is the nearest to 4? (a) 0 (b) -6/29 (c) m c Let r = 155 + -150. Which is the nearest to 1/2? (a) r (b) -1/6 (c) 2 b Let m(d) = -5*d - 1. Suppose 50 = 2*p + 3*p. Let w be p - 14 - (-2 + -1). Let c be m(w). What is the closest to 2/7 in c, -3, -0.2? -0.2 Let z = 980 - 6863/7. Let d be (18/27)/((-14)/(-6)). Which is the nearest to 1? (a) z (b) 4/5 (c) d b Suppose 24 = 5*w - 11. Suppose 0 = 4*m - b + w, 3*m - 3 = 2*b - 7. Let y be 6/(-7 + -65)*4. What is the closest to -3/2 in 4, y, m? m Let n be ((-24)/(-10))/3*-10. Let r(v) = -v**2 - 8*v + 2. Let d be r(n). Which is the closest to -0.1? (a) -2 (b) d (c) 2/3 c Let l = -10 + 6. Let s be 2/l*0/2. Let a = -5 - -6. What is the nearest to s in 4, 3, a? a Let l be 1 + -10 - 6000/(-640). What is the nearest to -1 in -0.5, l, 0.01? -0.5 Let k(x) = x**2 - 3*x - 4. Let n be k(4). Suppose 2*w = -4*s + 10, s + 12 = 6*s + 2*w. Let h be (6/18)/(s/8). Which is the closest to n? (a) 1/5 (b) h (c) 2 a Let a = 0.024 - 0.424. What is the closest to 1/2 in -2/15, -2/9, -4, a? -2/15 Suppose -1 = -p - 2. Let z = -7 + 7.1. Let n be 7/(-28) - (-22)/56. Which is the nearest to z? (a) n (b) 2 (c) p a Let a be 1 - 9 - 1134/(-147). What is the closest to -2 in -4, a, 6? a Let b = 21 + -21.15. Let j = -0.74 - -2.89. Let s = j + b. What is the nearest to 2 in s, 1, -0.5? s Suppose -u - 24*u = -3*u. What is the nearest to 7 in 3, -1, u? 3 Let t = 4.946 - -0.054. Let p be (-4)/9*(-15)/(-10). Which is the nearest to p? (a) t (b) -1/3 (c) -0.5 c Let d = -3 - -7. Let u = 5492/15 + -366. Let f = -674 - -674. Which is the closest to f? (a) u (b) -1 (c) d a Let i = 209/284 - -1/71. What is the closest to 4/3 in i, 4, 0.09? i Let k = -35/2 - -18. Let h = -0.73 - -1.73. Suppose 3*n - 10 + 13 = 0. What is the closest to n in -4, k, h? k Suppose -2*w - 21 = -3*b - 24, 1 = 3*w - b. Let k = -98 + 488/5. What is the closest to w in 0.1, 3, k? 0.1 Let b = 237/133 + -23/19. What is the closest to 0 in b, -10, 0.1? 0.1 Suppose -3*j = -2*a + 3, -13*a + 9*a = -2*j - 10. What is the closest to -0.2 in 6, a, 1/8? 1/8 Let j = -551/3 - -185. Which is the nearest to 1/2? (a) -2/13 (b) -0.4 (c) -2 (d) j a Suppose 0 = 5*w + 4*i - 18 + 47, -4*w = -2*i + 18. Which is the nearest to 1? (a) 0.04 (b) 0.4 (c) w b Suppose 0 = 3*y + 3*g - 7 + 19, 0 = 2*g + 6. What is the nearest to y in 1/4, -0.4, -0.2? -0.4 Let y be -1*2*(26/(-24))/13. Let p = -6 + 2. Let k = -1 + 1.1. What is the closest to k in 1, p, y? y Let v = 37 + -34. Let u = -0.6 + 0.62. What is the nearest to 0.2 in u, v, 3/2? u Suppose -s + 1 = -u, 5 = -3*s + 17. Let l = -7285 - -7285. What is the nearest to 1 in u, -5, l? l Let d = -205 + 192. What is the closest to 1/4 in 2/5, d, 2? 2/5 Let z = -0.708 + 0.768. Which is the nearest to -10? (a) -0.1 (b) 2/3 (c) 2 (d) z a Let y be -4 + 9/(225/110). Let q be (-1)/2 - (-62)/(-4). Let h = q - -35/2. What is the nearest to y in 3, -5, h? h Let j = 4/7 - 1/14. Let x = -0.05 - -1.05. What is the closest to -1 in j, -0.2, x? -0.2 Let n be 12/(-3) - 14/(-3). What is the closest to -0.1 in 1/2, -2/15, 3, n? -2/15 Let z = 1548.9 + -1619. Let k = 70 + z. Which is the nearest to k? (a) -0.03 (b) -2/13 (c) 4 b Let n = 53.5 - 53. Let z(t) = -t**2 + 8*t + 1. Let h be z(8). What is the closest to 0 in 0.3, h, n? 0.3 Let n = 29 + -115/4. Let a = -732 - -727. What is the nearest to n in -0.2, -0.22, a? -0.2 Let t(o) = -o**3 - 13*o**2 + 11*o - 41. Let q be t(-14). Which is the closest to 0? (a) 4/5 (b) 3 (c) 0.2 (d) q c Let l = -0.17 - -0.17. What is the closest to -3 in -5, l, -2/3? -5 Let s = 7/15 - 2/15. Let r = -1.5 + 5.5. Let x = -73/36 - -9/4. What is the closest to s in x, -3, r? x Suppose -2*s - 4*u - 20 = -7*s, -5*s + 20 = 3*u. Which is the nearest to 0.2? (a) s (b) -3 (c) 1.9 (d) -1 d Let p = 17 + -18.2. Let y = p - -1.1. What is the closest to y in 3/7, -0.3, 4? -0.3 Let l = 0.01 - 0. Let y = -7026 - -7022. Let d = 6.2 - 1.2. Which is the nearest to l? (a) y (b) d (c) 4 c Let c = -27.4 - -14.9. Let z = -1.7 + 13.7. Let i = c + z. What is the closest to -2/5 in -1, 3, i? i Let v = 1607.2 + -1607. What is the closest to -2/7 in -1/4, 1/11, v, 5? -1/4 Let m = -2 - -3. Let z = -0.1 - -0.3. Let d = 307 + -303. Which is the closest to m? (a) 1/6 (b) d (c) z c Let o = 0.29 - -0.01. Suppose -2*y = 0, -2*y = f + y - 3. Let x be 20/6 + 2/f. What is the closest to o in -2, 3, x? -2 Let i = -0.054 - 4.746. Let m = i - 23.2. Let y = m - -27.7. Which is the closest to -1? (a) y (b) 2/5 (c) 3 a Suppose 2 = z, 4*f + 0*f + 2*z - 164 = 0. Let r be (-26)/f + 2/8. Let p = -4.1 + -0.9. What is the nearest to r in -2/11, p, -0.4? -0.4 Suppose 3*w + 17 = -2*l, -4*l - 2*w - 2 = 12. Let k = -1.3 - -0.8. Let v = k - 0. Which is the nearest to l? (a) 0.1 (b) v (c) 0.3 b Let p be ((-6)/(-4))/((-84)/(-16)). Which is the nearest to 0.1? (a) 6 (b) -0.5 (c) 0 (d) p c Let k = -1.99 - 0.01. Which is the closest to 1? (a) k (b) 0 (c) 10 b Let u(f) = f**2 - 5*f + 5. Let v be u(5). Suppose 5*k + 25 = -0*k + 3*w, 0 = -k - w - v. Which is the closest to -0.1? (a) k (b) 0.3 (c) 1/4 c Let i = -21 + 7. Let l = i + 8. Let v be (-1)/(-3) - 38/78. Which is the closest to -1? (a) v (b) 2/3 (c) l a Let r be -9 - (-6 + 1) - 5/(-2). Which is the nearest to 0? (a) -0.3 (b) r (c) 0.4 a Let v = -3.2 - -3. Suppose 3*g = -37 + 43. What is the closest to 0.1 in g, 0, v? 0 Let b be (3/(324/172))/((-2)/(-132)). Let s = b - 105. What is the closest to -6/5 in -3/5, s, 0.4? -3/5 Let f = 55/6 - 9. What is the nearest to 1 in 0.06, f, 2/9? 2/9 Let j = -0.106 + -0.008. Let p = 4.114 + j. What is the nearest to 0 in p, 2/7, 1.1? 2/7 Let d = -406 - -2031/5. Which is the closest to -1? (a) d (b) 2/5 (c) 14 a Let v(m) = 23*m**2 + 112*m + 75. Let n be v(-4). Let f = -1.8 + 2. Which is the nearest to 2/29? (a) 2/21 (b) n (c) f a Let r = 0.3061 - -0.0939. Which is the closest to 1? (a) 1 (b) 2 (c) -0.8 (d) r a Let
{ "pile_set_name": "DM Mathematics" }
- 4 Let p(d) = -2*d**2. Let y(k) be the first derivative of 1/4*k**5 + 0*k**4 + 0*k**3 + k**2 + 0*k + 5. Let n(z) be the second derivative of y(z). What is n(p(r))? 60*r**4 Let s(c) = 2481*c**2 + 23523. Let w(b) = -3*b**2. What is s(w(o))? 22329*o**4 + 23523 Let i(j) be the first derivative of 0*j + 0*j**3 + 18 - 8*j**2 + 1/2*j**4. Let u(k) be the second derivative of i(k). Let b(t) = -t**2. What is u(b(n))? -12*n**2 Suppose 0 = 5*a + 5*z - 15, -a + 3 + 3 = 2*z. Let o(n) be the second derivative of 0*n**2 + a + 20*n - 1/2*n**3. Let j(b) = -10*b**2. Calculate j(o(g)). -90*g**2 Let u(z) = 70*z + 2. Let n(j) = 144*j + 5. Let d(g) = 2*n(g) - 5*u(g). Let p(r) = 7*r. Determine d(p(f)). -434*f Let v(j) = -j. Let q(x) = 4*x**2 + 63302*x + 5. What is q(v(g))? 4*g**2 - 63302*g + 5 Let a(q) = -6*q + 12. Let x(m) = 1. Let b(w) = a(w) - 12*x(w). Let o(v) = 33359913672*v - 7*v**2 - 33359913672*v. What is b(o(p))? 42*p**2 Let f(g) = 75*g**2 + 5*g - 29. Let i be f(8). Let j(b) = i - 4811 - 18*b**2. Let w(h) = -h. Calculate j(w(z)). -18*z**2 Let d(x) = -121*x + 5. Let r(k) = 9135*k - 378. Let a(n) = -378*d(n) - 5*r(n). Let i(f) = 393 - 254 + 2*f**2 - 139. Give i(a(y)). 7938*y**2 Let q(c) be the first derivative of -3*c**2 + 2*c - 21. Let p(f) = -2*f + 1. Let z(k) = 2*p(k) - q(k). Let i(g) = 0*g**2 + 0*g**2 + 8*g**2. Calculate z(i(y)). 16*y**2 Let f(h) = -39*h**2. Let c(w) = 3*w**2 + 30*w + 10. Let t(l) = -4*l**2 - 45*l - 12. Let d(p) = 3*c(p) + 2*t(p). What is f(d(v))? -39*v**4 - 468*v**2 - 1404 Let q(z) = 2*z**2 - 10*z. Suppose -21*k + 198 - 135 = 0. Let v(j) be the first derivative of 0*j**2 + 0*j + 33 + 1/3*j**k. Calculate q(v(c)). 2*c**4 - 10*c**2 Let o(d) be the second derivative of 5*d + 0*d**2 + 0 + 1/3*d**3. Let t(w) be the third derivative of -23*w**5/60 - 888*w**2. Give t(o(l)). -92*l**2 Let m(n) = 33*n**2. Let z(x) = 649*x + 64. Let d(l) = -214*l - 20. Let p(h) = -16*d(h) - 5*z(h). What is p(m(w))? 5907*w**2 Let k(x) = -15*x. Suppose -13*c + 104 = 13*c. Let o(t) be the second derivative of 1/12*t**c + 0*t**3 + 0*t**2 - 6*t + 0. Calculate o(k(b)). 225*b**2 Let p(n) = n**2 + 0*n + 0*n. Suppose 134*c - 120*c - 7098 = 0. Let a(u) = 4 - 4 - 9*u**2 - 507*u + c*u. What is p(a(l))? 81*l**4 Let k(v) = 7*v**2 - 1. Let n(c) = -8*c**2 - 11*c**2 + 36*c**2 - 5*c**2 - 7*c**2. Determine n(k(s)). 245*s**4 - 70*s**2 + 5 Let s(m) = m + 26. Let f(h) be the first derivative of 15*h**2/2 - 22*h + 62. Let o(y) = -4*y + 6. Let t(k) = -6*f(k) - 22*o(k). Calculate t(s(l)). -2*l - 52 Let f(b) = 11463*b. Let h(n) = n + 18. Calculate f(h(i)). 11463*i + 206334 Let w(h) = h**2 - 4*h + 4. Let j(g) = 5*g - 5. Let l(m) = 4*j(m) + 5*w(m). Let s(q) be the second derivative of 31*q**3/6 - 5*q - 56. What is l(s(x))? 4805*x**2 Let z(q) = q**2 - 11175. Let t(p) = 52*p**2 + 10*p. Let x(a) = 10*a**2 + 2*a. Let u(d) = t(d) - 5*x(d). Calculate z(u(c)). 4*c**4 - 11175 Let c(k) = 13906*k. Let j(b) = 657*b**2. Determine j(c(q)). 127048581252*q**2 Let f(w) = -7*w - 13*w - 3*w - 13*w. Let g(l) = 7*l + 3*l**2 - 3*l + 2*l**2. Let y(t) = 6*t**2 + 5*t. Let d(p) = 5*g(p) - 4*y(p). What is d(f(u))? 1296*u**2 Let f(g) = -221*g**2. Let v(o) = 35*o + 4 + 29*o - 89*o - 4. Determine v(f(a)). 5525*a**2 Let m(d) = d**2 - 8*d + 12. Let k be m(7). Let u = 7 - 3. Let n(p) = -7*p + k*p + u*p - 5*p. Let x(b) = 12*b**2. Determine n(x(f)). -36*f**2 Let p(a) = 30*a. Let o(g) = -766*g**2 + 1799*g**2 - 1009*g**2. Give p(o(x)). 720*x**2 Let m(n) be the third derivative of 0*n + 49/24*n**4 + n**2 + 0 + 0*n**3. Let o(f) be the second derivative of f**3/6 - 127*f. Determine o(m(z)). 49*z Let d(p) = -5*p + 2. Let g(v) = -16 + v + 15 - 34 - 2. What is d(g(c))? -5*c + 187 Let t(z) = 76*z + 342. Let a(f) = 582*f. Calculate t(a(i)). 44232*i + 342 Let x(c) = -c**2 + 4*c + 2. Let y(w) = 3*w**2 - 10*w - 5. Let r = -7 - -5. Let p(d) = r*y(d) - 5*x(d). Let z(t) = -15*t. Calculate p(z(u)). -225*u**2 Let g(d) be the second derivative of -d**4/6 - 19915*d. Let y(f) be the second derivative of f**3/6 - 18*f**2 - f. Determine g(y(i)). -2*i**2 + 144*i - 2592 Let c(p) = -34 + 2*p - 6 + 22 + 18. Let g(u) = u. Let h(j) = -21*j. Let l(y) = 72*g(y) + 3*h(y). Calculate l(c(a)). 18*a Let n be (-28)/420*(-20)/(-16)*-2. Let h(y) be the second derivative of -5*y - n*y**3 + 0 + 0*y**2. Let i(l) = 6*l**2. What is i(h(o))? 6*o**2 Let y(b) = 139*b**2. Let f(n) = 276454*n. Calculate f(y(l)). 38427106*l**2 Let q(t) = 203*t + 819. Let c(u) = -2011*u**2. Give q(c(d)). -408233*d**2 + 819 Suppose -4 = -2*v + 2. Let l(z) = -5*z + 5*z + v*z. Let b(i) = -96*i**2 - 64*i**2 - 97*i**2 + 255*i**2. Give l(b(f)). -6*f**2 Let o(j) = j**2. Let q(f) = -42*f + 33*f + 21*f + 5 - 6*f**2. Let b(u) = 5*u**2 - 15*u - 6. Let c(m) = -4*b(m) - 5*q(m). Determine c(o(x)). 10*x**4 - 1 Let q(l) = 13 - 2*l**2 - 11 - 2. Let b(p) = -p**3 + 2*p**2 + 7*p. Let d be b(-4). Let h(c) = 29 + 39 - d + 9*c**2. Calculate q(h(s)). -162*s**4 Let x(b) be the first derivative of -693*b**2 - 1819. Let c(k) = 3*k. Determine c(x(a)). -4158*a Let x(g) be the third derivative of -g**5/12 - 4*g**2. Let a(o) = -50*o - 474. Let r(n) = -49*n - 395. Let z(s) = 5*a(s) - 6*r(s). What is z(x(k))? -220*k**2 Let c(k) be the third derivative of k**8/960 - 241*k**5/60 + 17*k**2 + 4. Let y(w) be the third derivative of c(w). Let h(q) = 4*q**2. What is y(h(u))? 336*u**4 Let s(l) = l - 1. Suppose -628*q + 615*q + 65 = 0. Let u(y) = -1. Let z(f) = q*u(f) - 5*s(f). Let g(n) = 26*n**2. Calculate g(z(a)). 650*a**2 Let j(d) = 1171*d**2. Let i(b) = 299*b**2 + 9*b. Determine i(j(u)). 410001059*u**4 + 10539*u**2 Let n(b) = 2*b**2. Let j(f) = -32210696*f. What is j(n(g))? -64421392*g**2 Let x(r) = 11*r + 24. Let c(g) = -2*g**2 + g + 531. What is x(c(z))? -22*z**2 + 11*z + 5865 Let y(h) = -h**2. Let k be 3 + ((-1)/(-5))/((-26)/130). Let v(r) = r + 7*r**2 - 16*r**2 - 6*r**k. Give y(v(j)). -225*j**4 + 30*j**3 - j**2 Let c(z) = -31991*z. Let q(v) = 7088*v**2. What is c(q(s))? -226752208*s**2 Let r(b) = -352*b**2 - 64. Let m(p) = -54*p**2 - 10. Let d(h) = -32*m(h) + 5*r(h). Let w(f) = -38*f. Give w(d(t)). 1216*t**2 Let f(w) = 2724*w - 1444*w - 1316 - 1279*w. Let j(m) = m. Determine f(j(q)). q - 1316 Let k(p) be the third derivative of -p**5/30 - p**4/6 - 8*p**2 + 2. Let v(y) = -2*y**2 - 5*y. Let n(u) = -5*k(u) + 4*v(u). Let a(l) = l**2. What is a(n(b))? 4*b**4 Let a(i) = 2*i + 37874. Let c(n) = -2*n**2 - 4. Determine a(c(t)). -4*t**2 + 37866 Let z(p) = -18029*p**2. Let q(h) be the third derivative of h**5/60 + 1178*h**2 + 2. Give z(q(b)). -18029*b**4 Let c(j) = 6*j + 308. Let i(m) = 25044*m. Determine c(i(w)). 150264*w + 308 Let j(a) = -187*a. Let l(x) = x**2 - 3540*x. What is l(j(v))? 34969*v**2 + 661980*v Let q(r) = 3*r**2. Let a(c) = -158*c + 8. Let g(n) = -4*n - 1. Let b(z) = -a(z) - 6*g(z). Calculate q(b(p)). 99372*p**2 - 2184*p + 12 Let y(b) = 339*b**2 + 4*b. Let n(s) = -172212*s**2 - 2034*s. Let f(p) = -2*n(p) - 1017*y(p). Let w(t) = 4*t. What is f(w(z))? -5424*z**2 Let s(d) = 11207*d. Let n(r) = 28448*r**2. Give s(n(x)). 318816736*x**2 Let h(o) = 34*o. Let x(a) = -8*a + 18. Let y(d) = -2*d - 200 + 202 + d. Let i(q) = 2*x(q) - 18*y(q). Give h(i(s)). 68*s Let c(k) = k. Let i(f) = 21*f**2 + 31*f + 21428. What is i(c(h))? 21*h**2 + 31*h + 21428 Let b(m) = -m**2. Let g(z) = 9*z - 8. Let c(o) = 20 - 33 + 228*o - 210*o. Let a(x) = -3*c(x) + 5*g(x). Determine a(b(u)). 9*u**2 - 1 Let k = 27059 - 27056. Let z(c) be the third derivative of -9*c**2 + 0*c + 0 + 1/30*c**5 + 0*c**k + 0*c**4. Let x(g) = 10*g. What is x(z(j))? 20*j**2 Let q(p) be the second derivative of 9*p**3/2 + 12*p. Let l(m) = 2572*m - 1288*m - 1288*m. Determine l(q(x)). -108*x Let u(b) = 10*b. Let t(z) be the first derivative of 169*z**2/2 - 2*z + 1142. What is t(u(m))? 1690*m - 2 Let x(u) be the second derivative of 1 - 2*u**2 - 24*u - 5/4*u**4 + 0*u**3. Let i(h) = 2*h**2. Calculate x(i(n)). -60*n**4 - 4 Let a(l) = -2*l**3 - 9*l**2 + 9*l + 22. Let s be a(-5). Let f(r) = -1239*r**s + 2593*r**2 - 1133*r**2. Let j(v) = -v. Determine f(j(h)). 221*h**2 Let z(r) = 20*r**2. Let q(j) = 67141*j**2 - 43. Calculate q(z(w)). 26856400*w**4 - 43 Let g(v) = -119*v - 4. Let p(c) = 594*c + 21. Let n(z) = -21*g(z) - 4*p(z). Let b(l) = 6*l. Give n(b(i)). 738*i Let f(y) = y**2. Let
{ "pile_set_name": "DM Mathematics" }
hat is the nearest to 9/4 in 3/4, 1/5, -156/331? 3/4 Which is the nearest to 0.3? (a) 28 (b) -9819 (c) 4/3 (d) -5 c Which is the nearest to 17.3261? (a) 6/5 (b) -1 (c) 4 (d) 2/3 (e) 0.1 (f) -4/9 c What is the closest to 2 in 2/1253, -0.09, -4, 1, 0.2? 1 What is the closest to -7/286 in -3, -0.3, 53.84? -0.3 What is the closest to 0 in 2, 0.5, -0.4, 119.742? -0.4 What is the nearest to 1 in 583, 1/5, -0.1283, 5? 1/5 What is the nearest to -1 in 0.32, 1, -59/26, 0.2, -0.5? -0.5 What is the nearest to 0 in 0, -48, 5/2, -2/423? 0 Which is the closest to -1.7? (a) 3.87 (b) 0 (c) 4 (d) -15/8 (e) -2 d Which is the nearest to 54? (a) 1.6 (b) 7 (c) 2 (d) -3/2 b What is the nearest to 1 in -1/2, 7/1467451, -1? 7/1467451 Which is the closest to -0.3? (a) 2.2 (b) 288 (c) -0.4 c Which is the closest to 15/8? (a) 16/15 (b) -147 (c) -0.2 (d) 4 a Which is the nearest to 28? (a) 2/11 (b) 6.6174 (c) 4 b Which is the closest to 1/14? (a) -0.05 (b) -1/6 (c) -0.1 (d) 36940 (e) -5 a What is the closest to 0 in -507, -5, -6, 2/5, -446? 2/5 What is the closest to -1.6 in 0, 2105, 3/5, -1, -1/4? -1 What is the closest to -25 in 2/5, 0.5, 1, 0.175, -3/2? -3/2 What is the nearest to 1 in -5/3, -0.006, -0.5, -2/5, 0.093? 0.093 What is the nearest to -53 in -3, -16/3, -0.02, 9, -1, 10? -16/3 Which is the nearest to 72? (a) 0.1 (b) -0.1 (c) -2 (d) 0.3 (e) -32 (f) -0.3 d Which is the nearest to -1/40? (a) 5 (b) -143 (c) 65/8 (d) -0.1 d Which is the nearest to -0.068? (a) 0.4 (b) 0.2 (c) 71 (d) 33 b What is the nearest to -4658.4 in -5, 0.3, -4? -5 What is the closest to -4509691 in -3, 1/2, -8? -8 Which is the nearest to -1.29? (a) -2 (b) 2/7 (c) 1/6 (d) -4 (e) 137 a Which is the closest to -266.2? (a) 0.04 (b) 0.5 (c) 4 (d) -0.08 d Which is the nearest to -0.2? (a) 2/5 (b) 0 (c) 0.147 (d) 3 (e) -3 (f) -14 b What is the nearest to 0.21 in 0.1, -5, 2, -1/22, -35? 0.1 What is the closest to -5/7 in 1.367, 0, 3114, 5? 0 Which is the closest to 5? (a) -1/6 (b) 1/4 (c) 1/38 (d) -323 (e) -2 (f) -284 b Which is the nearest to 2/5? (a) 59/184 (b) 2 (c) -2/1147 a What is the nearest to 10 in 5, 0.13, -0.07, 2/5, -2/7, 54? 5 Which is the nearest to -0.6005? (a) -3.1 (b) 4 (c) 1/6 (d) -2/15 d What is the nearest to 0.4 in -1/2, 2/65, -4, 0.8, 193? 2/65 What is the nearest to -4/41 in 27, -119, 0.1? 0.1 What is the closest to -0.77 in -5, -6, -0.13, -1.3, 3? -1.3 What is the closest to 0.4 in -1, -1/4, -0.1, 7/22, 2/15, 13/3? 7/22 Which is the closest to -0.16? (a) -17.8 (b) -5 (c) 0.4 (d) -0.03 (e) 2/105 (f) 0.6 d What is the closest to 1 in -3/7, -2, -2/55, -2/225, 4575? -2/225 Which is the closest to 122/5? (a) -1/4 (b) -0.1 (c) -0.84 (d) 3/8 (e) 0.4 e Which is the closest to 19? (a) -0.7 (b) -2/11 (c) -16.786 b What is the closest to 41.1 in -5/6, 0.2, 102? 0.2 Which is the nearest to -1/3? (a) 6 (b) -29 (c) 0.07 (d) -20/11 c Which is the closest to 0.2? (a) 11 (b) -120 (c) -1 (d) -5 (e) 20 (f) 2/7 f What is the nearest to -2/53 in 0.2, -7, -1/4, 12, -1/82? -1/82 What is the nearest to 0.93 in 41, -0.3, -2? -0.3 Which is the closest to -1? (a) -2 (b) 0.5 (c) -7764.3 (d) -0.4 (e) 1/3 d Which is the nearest to 4? (a) 0 (b) -2/11 (c) 615 a What is the nearest to -0.7 in -20/19, 42, -0.7, 2/3, 1/5? -0.7 What is the closest to 4 in -0.3, -18, 5/3, 4/55857, -1? 5/3 Which is the closest to -1/2? (a) 1/2 (b) 637/334 (c) 4.3 a Which is the nearest to 2/37? (a) -4 (b) 0.4 (c) 53 (d) 0.09 d Which is the closest to 60/11? (a) 0.3 (b) -39 (c) 3/2 (d) -4/5 (e) -2/63 (f) 30 c Which is the nearest to -4.2? (a) -129/188 (b) -0.01 (c) 4/9 a What is the closest to 15 in 52, -41/4, 1/3, 44? 1/3 What is the nearest to -1/3 in -5, -27040, -1? -1 Which is the nearest to -1198? (a) 1.3 (b) 1/3 (c) 0.07 (d) -1/2 (e) 5 d What is the nearest to -0.1 in -0.5, -54, 27/10, -102? -0.5 Which is the nearest to -0.12? (a) -2 (b) -5 (c) -41/7035 (d) 0 (e) 0.5 c Which is the nearest to 284? (a) -31 (b) -0.3039 (c) -1 b Which is the nearest to 0.3? (a) 64/27 (b) 1 (c) 1/5 (d) -2/11 c Which is the nearest to -30? (a) 80 (b) -3631/3 (c) -1/8 c Which is the nearest to 1? (a) -3/16 (b) 0.1 (c) 2.5 (d) -3/14 (e) 1 (f) -0.402 e Which is the closest to 10? (a) -132 (b) 0.03 (c) 0.3 (d) -2 (e) 1 (f) 0.389 e Which is the nearest to 0.05? (a) 0.1 (b) 64 (c) 2/163 c Which is the nearest to -0.0678? (a) 242 (b) -2 (c) 25 (d) 1 d Which is the nearest to 0.2? (a) -328 (b) 17.8 (c) 3/4 c What is the nearest to 21591 in 1.7, -5, -2, 3, -0.3? 3 Which is the closest to -1.54? (a) 4 (b) -3/74 (c) 0.8 (d) -1 (e) 0.3 d Which is the nearest to -2/13? (a) -0.1 (b) -0.5 (c) 1/3 (d) 0.4 (e) 146 a Which is the nearest to -99? (a) 4/403 (b) 4 (c) 0 (d) 2/43 (e) 6 c What is the nearest to 3 in -4/5, 1/10, 0.4, 59.3453? 0.4 What is the closest to 0 in 0.0831, 4/1009, 1/2, 0.3? 4/1009 What is the closest to 0 in 184.69, -0.3, -0.1, 5, 0? 0 Which is the nearest to -5/34? (a) -1.5 (b) 10598 (c) 0.4 c What is the nearest to -12 in -253, 130, 1? 1 What is the closest to 1 in -1, 2/63, 5, 2/9, 52? 2/9 Which is the nearest to 0? (a) -4/15 (b) 29/3235 (c) 3 (d) -2 b What is the closest to -7/9 in -2, 0, -0.2, -228/13? -0.2 What is the nearest to 0 in -5/3, -0.2, -0.5558, -4, -641? -0.2 Which is the nearest to -28? (a) -0.5 (b) 42/47 (c) 0.1 (d) -1 (e) 0.3 (f) -39 f What is the closest to 62.8 in -0.4, 1/3, 252? 1/3 What is the closest to 0.1 in 0.3, 91530, -1/8, -7, 1? 0.3 What is the nearest to -24 in 24, -1/7, -4, -8.84? -8.84 Which is the closest to 3/10322? (a) -256 (b) 3 (c) 0.06 c Which is the nearest to 26/35? (a) -0.5 (b) 12 (c) -0.2 c Which is the closest to -37/145? (a) 2/3 (b) 2 (c) 6 (d) -61 a Which is the closest to -2/33? (a) 407 (b) 0.5 (c) -1/9 (d) 2/3 c What is the nearest to 1 in 405/92, 1/4, 111? 1/4 Which is the nearest to -2? (a) -9.5 (b) 0.0177 (c) -2 (d) -1/2 c Which is the nearest to 0.1? (a) 2/3 (b) 5 (c) 1/8 (d) 1.3 (e) 110 (f) -49 c Which is the nearest to 2/5? (a) -48 (b) 1929 (c) 1/630 c Which is the nearest to 1? (a) 2/9 (b) -12 (c) 1/22 (d) 19/4 (e) 0 a Which is the closest to 2? (a) 0.5 (b) 11/10691 (c) 1/10 a What is the nearest to -2631 in 3, -1, -5, -1/2? -5 What is the closest to 0.05 in -1/91, 4/9, -5, -17, 0.1, -1/6? 0.1 What is the nearest to -0.9 in 3, -1648.88, 4, 2/23? 2/23 Which is the closest to 1? (a) 410257 (b) -3/7 (c) -2/9 c Which is the closest to 3? (a) 314 (b) -1 (c) -1/15 (d) 2.1 (e) -0.06 (f) 1/2 d What is the closest to -1/2 in -3, -4/381, -19/7, 0.7? -4/381 What is the nearest to 0 in 1/5, 3, 16, 1.5, -17.3? 1/5 What is the nearest to 0.4 in 2, -1655, 0.5, 25, 1/142? 0.5 Which is the closest to -2/9? (a) -1267 (b) -3 (c) -1/121 (d) 3 c What is the closest to -0.09 in 9/98, 2, -2/9, 94? -2/9 What is the closest to 2/91 in 0, -0.05, 33, -2/5, 5? 0 What is the closest to 1 in 0.2, -58.4, 0, -90/37, -4, -3? 0.2 Which is the closest to 9? (a) -0.4 (b) -7/5 (c) 113.8 (d) 0.04 d Which is the closest to -0.6? (a) 7/65 (b) -12 (c) 0 (d) -0.07 d Which is the closest to 59093? (a) -3 (b) 0.3 (c) -0.05 (d) 5 (e) -0.2 d Which is the closest to 2/615? (a) -10 (b) 22/13 (c) 3/14 c What is the nearest to -2 in 5.2, -2894/3, 41? 5.2 What is the nearest to -53009 in -4, -2, -4/3? -4 Which is the closest to -7/5? (a) 3 (b) 2.02 (c) -1/7 (d) 1/2 (e) -7/5 e What is the nearest to 78 in 1446/7, 0.5, -2/7? 0.5 What is the nearest to -0.3 in -198, 7/135, -8.3, -3? 7/135 Which is the closest to 0.3? (a) 0.3 (b) 1 (c) -506 (d) 0.5 (e) -1197 (f) 5 a Which is the closest to 987? (a) 0 (b) -0.8 (c) -54 a Which is the nearest to -2/3? (a) 3 (b) 445570 (c) 2/7 (d) -6/13 d What is the closest to -2/15 in 5, 14, -312274? 5 Which is the nearest to 1/4? (a) -0.3 (b) 1/4 (c) -15 (d) 2/5 (e) 20 (f) -150 b Which is the nearest to 8? (a) 2 (b) -3 (c) 1/4 (d) -9 (e) -181 a Which is the nearest to 27? (a) -0.2 (b) 138 (c) 8735 a What is the closest to 2/2203 in 2, 0, 0.2, 4.6? 0 What is the nearest to -4411 in -79, -6, 3? -79 Which is the closest to 6
{ "pile_set_name": "DM Mathematics" }
2*j. Is 6 a factor of j? False Let r(o) = -o + 5. Let x(i) = 3*i - 10. Let p(a) = 11*r(a) + 6*x(a). Is p(4) a multiple of 23? True Is 18 a factor of ((-36)/5)/(3/(-15))? True Let k be 6/27 - (-421)/9. Suppose -2 = 3*f - k. Is f a multiple of 15? True Is 21 a factor of (-5571)/(-45) + (-2)/(-10)? False Suppose -a + 5*g = -5*a + 1031, 4*a + 3*g - 1041 = 0. Is 8 a factor of a? True Let v = 63 - -7. Does 10 divide v? True Let h = 15 - 26. Let u = h + 18. Suppose -f + u = -27. Is f a multiple of 17? True Suppose 6*i = 5*i + 17. Is 17 a factor of i? True Suppose 280 = 5*b - 0*b. Let o be 2 + -2 + b/4. Suppose -2*v = -0 - o. Is v a multiple of 4? False Suppose -214 = -14*c + 12*c. Does 17 divide c? False Suppose 3*i - 9 = -5*k - 0*k, -4*k + 9 = 3*i. Suppose -3*g = -3, -2*m + i*m - 25 = -5*g. Is m a multiple of 6? False Suppose 2*h - h - 3*r - 39 = 0, -3*h + r = -117. Is h a multiple of 13? True Let r = 36 + 22. Is r a multiple of 22? False Let m(v) = 7*v + 1. Let z(f) = -f - 1. Let j(l) = m(l) + 6*z(l). Let u be j(7). Is (34/4)/(1/u) a multiple of 12? False Let h(s) = -5 + s + 2 + 0*s + 1. Let p be h(-5). Let y(k) = k**2 + 4*k + 4. Is y(p) a multiple of 22? False Suppose 0*a = -a + 3*l + 59, l + 103 = 2*a. Is a a multiple of 25? True Suppose 6*q = 3*q + 159. Is 19 a factor of q? False Suppose -12 = 2*a - 6*a. Suppose -28 = a*w - 70. Is 7 a factor of w? True Let v(a) = -a**2 + 10*a - 3. Let z be v(8). Is (2*z/(-2))/(-1) a multiple of 6? False Suppose g = -3*w - 13, 2*g + 2*w + 2*w + 16 = 0. Suppose k + 4 = 3*z, -4*k + 5*z - g*z = 7. Is (k - (-2 - 0)) + 44 a multiple of 17? False Let u(a) = -6*a + 2*a**2 + 0*a + 4*a - 3 + 4*a. Is u(2) a multiple of 9? True Let c(x) = x**2 + x + 2. Is c(3) a multiple of 7? True Suppose 55 = 4*s - 3*x, 2*x - 6*x = -5*s + 68. Does 4 divide s? True Let d(p) = -5 + p + 2*p**2 + 2 + 1. Does 5 divide d(2)? False Suppose 193 + 2 = -5*n. Let x = -27 - n. Is 4 a factor of x? True Let f(y) be the first derivative of -5/2*y**2 + 1/3*y**3 - 6*y - 2. Does 8 divide f(7)? True Suppose -3*o = -0*o. Suppose o*v = -5*v - 30. Does 15 divide (-16)/v*(-21)/(-2)? False Let p be (-2)/4 + 1/2. Suppose 5*r + 293 - 978 = p. Suppose 68 = 2*z - 2*t, 4*t - r = -2*z - z. Is 13 a factor of z? True Let d = -6 - -66. Is 20 a factor of d? True Is 22 a factor of 128 - (0 - (4 + 0))? True Suppose y = -5*p + 297, 2*p - 128 = -0*p - 5*y. Does 5 divide p? False Let n(x) be the second derivative of x**7/1260 + x**6/180 - x**5/120 - x**4/4 - 2*x. Let j(k) be the third derivative of n(k). Is j(-4) a multiple of 10? False Let d(s) = s**3 + 10*s**2 - 6*s + 22. Does 4 divide d(-10)? False Let v = 31 - -4. Is 7 a factor of v? True Suppose 5*g + 4*p - 22 = 0, 3 = -5*g + p + 10. Suppose -g*k - 5 = -3*k. Is k a multiple of 3? False Suppose 0*n - 42 = -2*n. Does 5 divide n? False Let l = -44 + 95. Let b = l - -3. Is b a multiple of 14? False Suppose -4*d - 4*g = -7*d + 213, 3*d = 5*g + 216. Suppose -2*a = -3*c + 21 + d, -4*c - 5*a = -125. Does 15 divide c? True Let b = 218 - 373. Let n = b - -218. Is 8 a factor of 1/4 - n/(-4)? True Suppose -23 = 3*r - 158. Is r a multiple of 13? False Suppose 3*q = 4*q + 2. Suppose -4*v + 2*b - 60 = -b, 0 = -2*v - b - 40. Is v/4*8/q a multiple of 18? True Let x be 4/(-6) + 2/(-6). Let b be -1 + 137 + (-2 - x). Let i = b - 95. Is i a multiple of 20? True Suppose -2*x + 5*o = -176, 0 = -x - 0*x - 2*o + 70. Does 26 divide x? True Let j = 24 + -12. Is (-36 + -1)/((-6)/j) a multiple of 19? False Let k(s) = s**2 + 13*s - 10. Let p be k(-14). Let x be (0 - 14)/(0 + -1). Is 11 a factor of 474/42 - p/x? True Let q(j) = 2*j - 4. Suppose 3*b + 17 = 4*m + 4*b, -2*b = -2. Does 4 divide q(m)? True Let v = 0 + 1. Let c(l) = l**2 - l**2 + l - l**2 + 4*l**3. Is c(v) even? True Let c(o) = o**2 + 7*o - 9. Let p be c(-8). Is 15 a factor of p/((-3)/6) + 43? True Suppose -33 = -2*m + 5*m. Does 6 divide 2/m - 136/(-22)? True Let r = 85 - 65. Does 4 divide r? True Is 6/(-3 + 0) - -35 a multiple of 33? True Suppose 2*f + c = 48, -c = -2*f + 2*c + 56. Is 5 a factor of f? True Suppose 0 = -4*p + 5*p. Suppose k + 0*u = -3*u + 16, -3*k + 3*u = 0. Suppose 2*x - k*n = 92, p*x + 4*n = x - 56. Is x a multiple of 12? True Suppose -2*y - 113 = -3*c, 3*c - c - y = 74. Is 13 a factor of c? False Let w(k) be the second derivative of -1/20*k**5 + 1/2*k**4 + 0*k**3 + k**2 + 0 - 2*k. Is w(6) a multiple of 2? True Is 5 a factor of (-2 + 22/4)/((-10)/(-200))? True Let t(b) = -6*b**2 + 6*b - 1. Let c be t(5). Let m = c + 171. Is 20 a factor of m? False Suppose -2*p - 86 = -2*x, 5*p - 4 - 181 = -5*x. Does 11 divide x? False Suppose -44*s = -49*s + 280. Is 8 a factor of s? True Let c(q) = 214*q**2 + 2*q - 1. Let u be c(1). Suppose 0 = 3*z + z - 3*f + u, z + f = -45. Let a = 95 + z. Is a a multiple of 15? True Let x be (8 + -9)/((-2)/(-146)). Let o = -43 - x. Does 12 divide o? False Let o = -4 + 0. Let g = o - -15. Does 5 divide g? False Let j(b) = b**2 - 6*b + 3. Let m be j(6). Suppose 320 = 4*a + m*x, -4*a - 2*x + 160 = -2*a. Is 23 a factor of a? False Let d = 7 - 14. Let v = 15 + d. Does 3 divide v? False Suppose 337 = 3*d + 5*r, 0*d - 4*r = -4*d + 396. Is (d/10)/(14/35) a multiple of 13? True Let p = -4 - -6. Let j = p + 1. Suppose -j*r = 4*y - 41, y + 4*r = -2*y + 29. Does 8 divide y? False Suppose i = 3 - 1. Let u be 1 + -1 + 6/i. Suppose -l + u*l = 48. Does 12 divide l? True Let o(r) = 3*r. Let w be o(1). Let p = 116 - 8. Suppose l + p = w*l. Is l a multiple of 25? False Suppose 11 = 5*o - 14. Suppose 4*c + 263 = o*l, -5*c + 235 = 2*l + 2*l. Is l a multiple of 21? False Let f(w) = w**3 - 7*w**2 - 12*w - 7. Let p be f(9). Suppose x - p - 41 = 0. Is x a multiple of 22? True Let w = -13 - -27. Is 7 a factor of w? True Suppose 6*f - 2*f = -32. Let u(z) be the third derivative of -z**4/12 - 5*z**3/3 + z**2. Does 6 divide u(f)? True Let u be (-4 + 0)*(-6)/4. Does 21 divide (-1 + u)*168/10? True Let j(w) be the second derivative of -13*w**3/6 + w**2/2 - 9*w. Let u(z) = z**3 + z**2 - 2*z - 1. Let p be u(-2). Is 6 a factor of j(p)? False Suppose -2*p + 6*p - 368 = -4*z, 185 = 2*z + p. Is z a multiple of 25? False Let u = -55 - -23. Let x = u - -80. Does 16 divide x? True Let d be (-2 + 3)/((-2)/(-84)). Suppose -5*g = -132 + d. Is 5 a factor of g? False Is ((-10)/(-4))/(7/322) a multiple of 15? False Let x(l) be the third derivative of -l**4/24 + l**3 - 2*l**2. Let c = 14 - 20. Does 12 divide x(c)? True Let k(r) = 47*r**2 - r + 2. Is 12 a factor of k(1)? True Suppose -5*f = -21 - 69. Let v be 2/(-2)*-1 - -23. Let m = v + f. Is 21 a factor of m? True Let j(x) = -105*x**2 + 1. Let a be j(1). Let m = 192 + a. Does 18 divide m? False Let b(m) = -m**2 + 23*m - 24. Is b(16) a multiple of 11? True Let k(y) = -y**2 + 9*y - 1. Suppose 0 = -5*u + 10 - 0. Suppose -10 = -u*j - f, -4*j + 7*j - 12 = -3*f. Does 6 divide k(j)? False Let g = -73 + 39. Let t = g - -59. Is t a multiple of 20? False Let h(n) = 2*n + 39. Let v(p) = -p - 19. Let t(d) = 6*h(d) + 11*v(d). Let s be t(0). Let x = s - -11. Is x a multiple of 12? True Let m = -13 - -19. Suppose -w + 40 = m. Does 9 divide w? False Let k be 18/(-1)*(-4)/3. Suppose -2*s = -1 + 5. Is 8 a factor of s - k/(-2) - -2? False Does 18 divide 167*4/14 + (-4)/(-14)? False Does 28 divide 56/(-16) + 3/6 + 451? True Suppose 0 = b - 4*n - 38, 5*b - 5*n - 248 + 28 = 0. Does 26 divide b? False Let y be ((-104)/12)/(4/(-42)). Let j = 163 - y. Is j a multiple of 17? False Suppose 3*p - 4*p + 12 = 0. Let i = p - 8. Suppose 3*z - 2*q - 48 = 0, -z - z + i*q = -40. Is z a multiple of 6? False Let h be (-433)/6 + (-1)/(-6). Is (1 - -2 - h) + 0 a multiple of 25? True Let x be (-4)/(-10)*10*1. Let y(k) = -4 + 6*k - 2 - x. Is y(7) a multiple of 16? True Let r = -4 + 17. Let i = -9 + r. Is i even? True Suppose -5*v + 0*v + 242 = 2*s, -4*v = -s - 204. Suppose v = 5*z - 160. Does 12 divide z? False Suppose 4*u - 3 = -23. Let h = 2 - u. Is 2 a factor of h? False Let t be 8/(-6)*(3 - 6). Let o(q) = q - 1. Let s be o(t). Suppose 4*p - g = 71 + 153, 2*p = -s*g + 98. Is p a multiple of 17? False Let c be 2/((-3)/((-126)/1)). Suppose -5*l + 4*m - m + 94 = 0, 0 = -4*l - 2*m + c. Is 16 a factor of l? False Let t(k) = k**2 - 23*k + 10. Does 25 divide t(26)? False Let n be 4338/45
{ "pile_set_name": "DM Mathematics" }
n*y(b) + 5*k(b). 3*b**2 Let x(k) = 4. Let t = -149 + 147. Let r(y) = y - 5. Determine t*r(q) - 3*x(q). -2*q - 2 Let n(c) be the third derivative of -c**6/24 + c**4/8 - 18*c**2. Let z(h) = 29*h**3 - 17*h. Calculate 34*n(l) + 6*z(l). 4*l**3 Let q(v) be the second derivative of -v**3/6 - v**2/2 - 6*v. Let a(n) = -n. What is -2*a(r) + q(r)? r - 1 Let z(r) = -2. Let n(b) = -b. What is 2*n(a) + z(a)? -2*a - 2 Suppose -10*c + 5*h + 25 = -13*c, -c - h - 7 = 0. Let t(d) = -4*d**2. Let y(m) = -2*m**2. Determine c*y(j) + 3*t(j). -2*j**2 Let b(g) be the third derivative of g**4/12 - 5*g**3/6 - 5*g**2. Let u(s) = -s + 4. Determine 2*b(v) + 3*u(v). v + 2 Let s(z) = 12*z**2 + 0 - 15*z**2 + 5. Let w(q) = -2*q**2 + 3. Let v(h) = 5*s(h) - 8*w(h). Let t(c) = c**3 - 2*c**2 - 3. What is t(b) + 3*v(b)? b**3 + b**2 Let t(a) = 6*a + 8. Suppose 5*z + 3*b + 0*b + 25 = 0, 5*b - 1 = -3*z. Let i(c) = 6 + 0 + 2*c + 0 - 3. Let y = -1 + 4. Determine y*t(d) + z*i(d). 2*d Let s(p) = 4*p**2 + 6*p - 2. Let l(a) = 9*a**2 + 13*a - 4. Determine -2*l(v) + 5*s(v). 2*v**2 + 4*v - 2 Let i(n) = -5*n**2 + 27*n - 5. Let o(k) = -3*k**2 + 18*k - 3. What is -5*i(l) + 8*o(l)? l**2 + 9*l + 1 Suppose 0 = -16*h + 20*h + 24. Let n(u) = u + 3. Let k(i) = -4*i - 13. What is h*k(d) - 26*n(d)? -2*d Suppose l + 8 = 5*l. Let w be -2*l/4*5. Let d(r) = -7*r**2 + r**2 - 4 + 3*r**2. Let i(x) = -x**2 - 1. What is w*i(o) + d(o)? 2*o**2 + 1 Let j(u) = 0*u - 6 + u + 4*u**2 + 3. Let w be (-4 + 17 + -7)*1/2. Let d(l) be the second derivative of 5*l**4/12 + l**3/6 - 2*l**2 + l. What is w*d(o) - 4*j(o)? -o**2 - o Let f(v) = -1430*v**3 + 45*v**2 + 45*v - 45. Let d(q) = -65*q**3 + 2*q**2 + 2*q - 2. Calculate 45*d(z) - 2*f(z). -65*z**3 Let r(b) = 25*b + 4. Let u(x) = 25*x + 3. Give -4*r(f) + 5*u(f). 25*f - 1 Let u(o) = 44*o**3 + 20*o**2 + 20*o + 20. Let w(g) = g**3 + g**2 + g + 1. What is u(j) - 20*w(j)? 24*j**3 Let x(q) = -2*q + 9. Let n be x(6). Let c(d) = 1. Let a(l) = l + 1. Let j(f) = f + 1. Suppose 3*t = 2*v, 5*v - 6*t = -2*t. Let o be j(v). Give n*c(p) + o*a(p). p - 2 Let x(j) = -17*j**3 + 11*j**2. Let l(r) = 5*r + 84. Let c be l(-19). Let i(s) = 6*s**3 - 4*s**2. What is c*i(y) - 4*x(y)? 2*y**3 Let y(t) = t**3 - t**2 - t - 1. Suppose 0*b + 5*b = -4*a - 1, 0 = -2*b - 2. Let c(h) = 2*h**3 - 5*h**2 - 5*h - 5. Determine a*c(w) - 5*y(w). -3*w**3 Let a(g) = -2*g**3 - 6*g**2 + 2*g - 1. Let h(v) = -v**3 - v - 1. Determine -a(p) - h(p). 3*p**3 + 6*p**2 - p + 2 Let t = 8 + -5. Let w(d) be the first derivative of d**2 + 8. Let z(l) = 2*l. Give t*z(j) - 4*w(j). -2*j Let m(h) = h + 20. Let v(n) = -4*n - 60. What is 10*m(f) + 3*v(f)? -2*f + 20 Let j(f) = 27*f**2 - 5*f + 3. Let i(m) = 134*m**2 - 26*m + 16. Determine 3*i(r) - 16*j(r). -30*r**2 + 2*r Let g(d) = 7 - 3 - 5. Let b = 2 - 2. Let f(q) = 2*q - q - 2 + b. Give 2*f(j) - 4*g(j). 2*j Let t(m) = 7*m**3 + 15*m**2 + 15. Let g(y) = 44*y**3 + 64*y**2 + 16. Let z(x) = -9*x**3 - 13*x**2 - 3. Let h(d) = 5*g(d) + 24*z(d). Calculate 11*h(s) - 6*t(s). 2*s**3 - 2*s**2 - 2 Suppose q = 4 - 6. Let h(f) = -2*f**2 - f + 4. Let n(r) = 1. Calculate q*n(c) + h(c). -2*c**2 - c + 2 Let x(k) = 3*k + 1. Let s(f) = -f. Let a(r) = 3*s(r) - x(r). Let u(j) = -9*j - 2. Let v(b) = 10*b + 2. Let l(n) = 3*u(n) + 4*v(n). Determine 9*a(p) + 4*l(p). -2*p - 1 Let n(c) = -c. Let l(g) = -6*g - 5. Let u(y) = 4*y. Let j be u(-1). Let o(i) = 5*i + 4. Let f(m) = j*l(m) - 5*o(m). Determine -4*f(a) + 3*n(a). a Let g(n) = -35*n**2 + 6. Let k(f) = f**2 - 1. Give g(b) + 6*k(b). -29*b**2 Let v(k) = -2*k + 1. Let u(y) = -2*y. Suppose -3*x - w - 7 = 0, -4*w + 2 = -2*x - 2*w. Determine x*v(p) + 3*u(p). -2*p - 2 Let o(t) be the third derivative of -t**4/6 - t**3/3 - 9*t**2 - 5. Let u(s) = -2*s - 1. Suppose 3*i + 4 = 7, -22 = 3*g - 4*i. Calculate g*o(p) + 11*u(p). 2*p + 1 Let s(j) = 6*j. Let o(n) be the third derivative of -2*n**2 + 0 + 0*n - 1/12*n**4 + 0*n**3. Determine -11*o(u) - 4*s(u). -2*u Let u(q) = q**2 - q + 1. Let b(p) = -3*p**2 + 11*p - 7. Determine -b(r) - 6*u(r). -3*r**2 - 5*r + 1 Let c(v) = v**2 + 1. Let r(i) = -i**2 + 1. Let f(n) = 2*n**2 - 5. Let w(l) = -f(l) - 3*r(l). Calculate -5*c(u) + 3*w(u). -2*u**2 + 1 Suppose -2*a = -4*a - 4. Let f = 11 + -8. Let o(x) = x**3 - 2*x**2 - 2. Let i(q) = 2*q**3 - 2*q**2 - 3. Determine a*i(c) + f*o(c). -c**3 - 2*c**2 Let l(i) = 29*i**2 + 5. Let a(w) = -1. Determine 5*a(d) + l(d). 29*d**2 Let c(k) = k + 2. Let i be c(6). Let l(f) = -2*f + 6. Let y(p) be the first derivative of p + 3. What is i*y(g) - l(g)? 2*g + 2 Let y(t) = 1. Let p(m) = m**2 + 4*m - 6. Let j be p(-5). Let d be (6/(-3) + 1)/j. Let k(g) = -2*g + 3. Calculate d*k(z) - 2*y(z). -2*z + 1 Let n(l) = 13*l + l - 26 + 6*l. Let u(h) = 7*h - 9. What is -6*n(v) + 17*u(v)? -v + 3 Let h(l) = -l - 1. Let y(f) = 5*f + 6. Let q(t) be the first derivative of -t**4/4 + 7*t**3/3 - t**2/2 + 3*t + 2. Let w be q(7). Give w*h(c) - y(c). -c - 2 Let h(r) = -10*r + 10. Let t(f) = 7*f - 7. Let y = 6 - -22. Suppose 4*p + 5*n + y = -15, -20 = 5*p - 5*n. Let b = -2 - p. Calculate b*h(k) + 7*t(k). -k + 1 Let u(a) = a**2 + a + 1. Let s = 9 + -5. Let l(x) be the first derivative of x**3 + 3*x**2 + 5*x + 19. Calculate s*u(w) - l(w). w**2 - 2*w - 1 Let x(c) = -2 - 2 - 3*c + 12. Let b(v) = -2*v + 5. Calculate 8*b(k) - 5*x(k). -k Let t(d) = 2*d**2 + 2*d - 11. Let o = -22 - -16. Let p(m) = -m**2 + 6 + m + 3*m - 5*m. Determine o*t(y) - 11*p(y). -y**2 - y Let w be 41/7 - 2/(-14). Let a(j) = -3*j**2 + 7*j. Let t(x) = -5*x**2 + 13*x. Give w*t(i) - 11*a(i). 3*i**2 + i Let l(s) = -6 + 20*s + s**2 - 16*s - s**3 + 2. Let t(i) = 2*i**3 - i**2 - 7*i + 7. Calculate -7*l(h) - 4*t(h). -h**3 - 3*h**2 Let c(y) = y**3 + y**2 + 1. Let k(r) = 18*r**3 + 9*r**2 + 9. Determine -9*c(d) + k(d). 9*d**3 Let i(s) = -s**2 + 6*s. Let z be i(5). Let y(r) = -4*r - 2. Let m(g) = 5*g + 2. Give z*m(c) + 6*y(c). c - 2 Let h = -14 + 5. Let x(y) = -3*y + 4*y + 4 - 3*y - y**2. Let l(b) = -2*b**2 - 4*b + 9. What is h*x(s) + 4*l(s)? s**2 + 2*s Let o(w) = 6*w - 11. Let n(a) = -a**2 - 7*a + 6. Let i be n(-8). Let z(h) = -h + 2. Let u(r) = i*o(r) - 11*z(r). Let l(q) = -2*q - 1. What is 2*l(v) - 5*u(v)? v - 2 Let q(b) = -44*b + 6. Let i(n) = 29*n - 4. Give 8*i(z) + 5*q(z). 12*z - 2 Let j(o) = o**2 + 11*o. Let g(z) = -6*z**2 - 55*z. Determine -2*g(p) - 11*j(p). p**2 - 11*p Let c(i) = -i + 9. Let s(b) = 1. Calculate -c(y) + 6*s(y). y - 3 Let z(x) = -2*x + 2. Let w = -9 - -14. Suppose -2*n + 8 = 2*v, 0*v + n + 2 = v. Let m(s) = 4*s - 3. Calculate v*m(g) + w*z(g). 2*g + 1 Let d(w) = 5*w**2 - 7*w - 4. Suppose 0 = -5*z - 12 - 3. Let v = z - -1. Let j be (-39)/9 - v/6. Let u(a) = 3*a**2 - 4*a - 2. Give j*d(b) + 7*u(b). b**2 + 2 Let i(r) = 5*r**3 + 2*r**2 - 4*r + 3. Let c(m) = m**3 + m**2 + m + 1. Determine 3*c(d) - i(d). -2*d**3 + d**2 + 7*d Let m = 28 - 50. Let x(v) = -16*v**3 + 11*v**2 + 16. Let r(j) = -3*j**3 + 2*j**2 + 3. Determine m*r(n) + 4*x(n). 2*n**3 - 2 Let k be (-1)/(-4) - 50/8. Let l(v) = -v**2 - v. Let a(u) = -12*u + 24*u - 16*u - 5*u**2. What is k*l(m) + a(m)? m**2 + 2*m Let z(b) = -b + 3 - 4 + 4. Let q(l) = -l + 3. Let t be q(8). Let s(g) = -g + 2. Give t*s(y) + 4*z(y). y + 2 Let x(m) = m**2 + 3*m - 5. Let z(i) = -2*i**2 - 3*i + 6. Calculate -4*x(p) - 3*z(p). 2*p**2 - 3*p + 2 Let s(c) = -c - 5. Let t(x) = 4. Calculate -4*s(u) - 5*t(u). 4*u Let a(d) = d - 1. Let c(n) = 6*n - 10. Let r(m) = -6*m + 9. Let s(p) = -4*c(p) - 5*r(p). Calculate 22*a(h) - 4*s(h). -2*h - 2 Let f(k) = -5*k + 14. Let q(v) = 6*v - 15. Determine -4*f(c) - 3*q(c). 2*c - 11 Let q(c) = -21*c + 8. Suppose -m - 11 = -i, -5*m - 17 = 3*i + 22. Let a(g) = -5*g + 2. Give m*a(p) + 2*q(p). 3*p - 2 Let n(b) = 15*b**2 + 13*b + 4. Let i(f) = 5 - 6 + 5*f**2 - 7*f - 13*f**2 - 1. Give 11*i(v) + 6*n(v). 2*v**2 + v + 2 Let j(u) = -9*u**2 - 2*u - 3. Let z(r) = -r**2 + r + 1. What is j(t) + 3*z(t)? -12*t**2 + t Let a(d) = 5*d**3 - 2*d**2 - 6*d - 2. Let w(x) = -4*x**3 + x**2 + 5*x + 2. Give -2*a(j) - 3*w(j). 2*j**3 + j**2 - 3*j - 2 Let d(j) = 4*j**3 + j**2 + 3*j - 2. Let a(g) = g**3 + g. What is 5*a(y) - d(y)? y**3 - y**2 + 2*y + 2 Let y(g) = 2*g + 7. Let t(f) = -f - 3. Give 7*t(d) + 4*y(d). d + 7 Let z(v) = v. Let x be (-14)/60 - (-4)/10. Let j(c) be the third derivative of 0 - x*c**4 + c**2 + 0*c**3 + 0*c. Determine j(g) +
{ "pile_set_name": "DM Mathematics" }
0.4 in ascending order. -0.3, -1/134, 0.4, 3 Sort -5, 2, 6, 17. -5, 2, 6, 17 Sort -5, -4, -51, -1 in increasing order. -51, -5, -4, -1 Put 3, -3/16, -4, 2, 0.3 in descending order. 3, 2, 0.3, -3/16, -4 Put -5, -799, 0 in ascending order. -799, -5, 0 Sort 43, -2, -1, 87. -2, -1, 43, 87 Sort 14, -1/9, 28, -1 in increasing order. -1, -1/9, 14, 28 Put -5, 4/5, 2, -21, -1/4 in ascending order. -21, -5, -1/4, 4/5, 2 Put -1, -7, -5, 3, 4 in decreasing order. 4, 3, -1, -5, -7 Sort 171, -5, -1 in descending order. 171, -1, -5 Sort -2, 24, 3, -75, 1. -75, -2, 1, 3, 24 Sort -5, -3, 2, 3 in descending order. 3, 2, -3, -5 Sort -87, 4, -4 in decreasing order. 4, -4, -87 Sort 1/4, 5, -3/7, -2, -1/22. -2, -3/7, -1/22, 1/4, 5 Sort 33, 2, 1, 2/5. 2/5, 1, 2, 33 Sort 3, 1, 114, 4. 1, 3, 4, 114 Sort 3, 5, -13, 1. -13, 1, 3, 5 Sort 5, 3/2, -1/16, 0. -1/16, 0, 3/2, 5 Sort 2, -3, -0.394 in ascending order. -3, -0.394, 2 Sort -4, -1, 53, -6 in decreasing order. 53, -1, -4, -6 Sort 1/4, 4, 0. 0, 1/4, 4 Put -3, -1, 4, 6, -5 in descending order. 6, 4, -1, -3, -5 Put -3, 0, -31 in decreasing order. 0, -3, -31 Sort 4/5, -9/14, 0.12. -9/14, 0.12, 4/5 Sort -10, 1, 41. -10, 1, 41 Put -3, 2, 5, -43 in increasing order. -43, -3, 2, 5 Sort 2755, 0.04, 3 in descending order. 2755, 3, 0.04 Sort 2, 19, 5, -21. -21, 2, 5, 19 Put 1/4, -0.2, 2, -0.26 in increasing order. -0.26, -0.2, 1/4, 2 Sort 3, 0, 37, 5, 2. 0, 2, 3, 5, 37 Sort -0.3, 1, 22/5 in descending order. 22/5, 1, -0.3 Put -26, 25, 3, 1 in decreasing order. 25, 3, 1, -26 Sort 2, -51, 6. -51, 2, 6 Put 2/7, -6, -1/3 in decreasing order. 2/7, -1/3, -6 Sort 4, 5, -11, -3 in descending order. 5, 4, -3, -11 Put -1/14, -0.5, -0.9, 5, 6 in decreasing order. 6, 5, -1/14, -0.5, -0.9 Sort -10, 6, -1, 0 in decreasing order. 6, 0, -1, -10 Sort -2, -3/22, 0.4, 4 in ascending order. -2, -3/22, 0.4, 4 Sort -5, -3, 645 in increasing order. -5, -3, 645 Sort -23, -1/4, -3/5, 1/23, 2/13 in decreasing order. 2/13, 1/23, -1/4, -3/5, -23 Sort 2/3, -2, -1 in ascending order. -2, -1, 2/3 Put -7, -19, -1/7 in decreasing order. -1/7, -7, -19 Sort 0.1, 3, 1 in descending order. 3, 1, 0.1 Put -4, -64, 3 in ascending order. -64, -4, 3 Sort 0, 2, 3, 576, -2 in descending order. 576, 3, 2, 0, -2 Sort 5, -45, 2, 16 in decreasing order. 16, 5, 2, -45 Put -3/4, 0.4, -119 in ascending order. -119, -3/4, 0.4 Put 4, -1, 0.01, 0.4 in descending order. 4, 0.4, 0.01, -1 Sort 36, -4, 0 in increasing order. -4, 0, 36 Sort -99, 1, -1, -16 in decreasing order. 1, -1, -16, -99 Sort -1.5, 1, 1.4. -1.5, 1, 1.4 Sort -2, 5, 0.2, -0.42. -2, -0.42, 0.2, 5 Put 3, 9/5, 0.3, -0.6 in decreasing order. 3, 9/5, 0.3, -0.6 Put -76, 4, 0 in increasing order. -76, 0, 4 Sort 1, 14, -2/7, -4 in descending order. 14, 1, -2/7, -4 Put 8, -5, 22 in increasing order. -5, 8, 22 Put 0.1, 3/8, 0.4, 1, -1/3 in decreasing order. 1, 0.4, 3/8, 0.1, -1/3 Sort 3, -22, 4, -1. -22, -1, 3, 4 Put -8, -2, -10, 2 in ascending order. -10, -8, -2, 2 Sort 6, 3, -39 in decreasing order. 6, 3, -39 Sort -1, 1, 4, 18 in descending order. 18, 4, 1, -1 Put 0.83, -3/2, 12 in ascending order. -3/2, 0.83, 12 Sort -3, 26, -1, 0, 4. -3, -1, 0, 4, 26 Sort 5, -4, -3, 0. -4, -3, 0, 5 Put 2/3, -42/11, 0, -4 in decreasing order. 2/3, 0, -42/11, -4 Sort 1, -3, -5, 11 in ascending order. -5, -3, 1, 11 Put 9, 4, -4, -1/7, 0 in increasing order. -4, -1/7, 0, 4, 9 Sort 2.7, -4/3, 1, -3, 0 in ascending order. -3, -4/3, 0, 1, 2.7 Sort -2, 68, -3 in increasing order. -3, -2, 68 Sort 433, 1, 0. 0, 1, 433 Sort 1, 0, 2, -6. -6, 0, 1, 2 Put 0, -207, 3 in descending order. 3, 0, -207 Put -0.3, -1/13, 1/3, -53, 0.4 in ascending order. -53, -0.3, -1/13, 1/3, 0.4 Put 89, -0.3, 4 in descending order. 89, 4, -0.3 Sort -5, -275, 5 in ascending order. -275, -5, 5 Sort 5, 1, -1208 in descending order. 5, 1, -1208 Sort -6, -0.5, 0 in decreasing order. 0, -0.5, -6 Sort -15, 7, 5 in decreasing order. 7, 5, -15 Put -0.4, 0, -2, 35/6 in decreasing order. 35/6, 0, -0.4, -2 Put 2, 5, 3, -5, 35 in ascending order. -5, 2, 3, 5, 35 Sort 2580, 3, -5, 5 in decreasing order. 2580, 5, 3, -5 Sort 0.54, 1, 3, 1/4, -2. -2, 1/4, 0.54, 1, 3 Put -71, 4, -3 in ascending order. -71, -3, 4 Sort -32, -2, 4, -1 in descending order. 4, -1, -2, -32 Put -1, 0, 2, -3, 111 in increasing order. -3, -1, 0, 2, 111 Put -2, 0.1, 1/117, 4/3, 5 in descending order. 5, 4/3, 0.1, 1/117, -2 Put 1, 10, 0, 22, -5 in descending order. 22, 10, 1, 0, -5 Sort 16, 0.1, 3 in decreasing order. 16, 3, 0.1 Put -6, 4, -1, -5 in decreasing order. 4, -1, -5, -6 Sort 385, 2, 0.1, -0.6 in ascending order. -0.6, 0.1, 2, 385 Put 1/6, -0.2, 184 in decreasing order. 184, 1/6, -0.2 Sort -22, 0, -18, -4, -6 in decreasing order. 0, -4, -6, -18, -22 Put 4, -13, 3, 5, -3 in increasing order. -13, -3, 3, 4, 5 Put 58, -0.2, 2/11, -0.4 in decreasing order. 58, 2/11, -0.2, -0.4 Put 0.3, -0.4, 4, -23 in decreasing order. 4, 0.3, -0.4, -23 Put 3, 5, -4, 4 in ascending order. -4, 3, 4, 5 Put 22, 0, -2, 5, 4 in increasing order. -2, 0, 4, 5, 22 Sort 3, -4/3, -1, -0.2, 74 in increasing order. -4/3, -1, -0.2, 3, 74 Sort 81, 3, 2, -1 in ascending order. -1, 2, 3, 81 Sort -4, -6, 3, 2 in decreasing order. 3, 2, -4, -6 Put -3, -1489, 1 in decreasing order. 1, -3, -1489 Sort 0.6, -0.1, -1, -2, 5/6 in descending order. 5/6, 0.6, -0.1, -1, -2 Sort -8, -0.5, -1/9 in decreasing order. -1/9, -0.5, -8 Put -3, -211, 2 in decreasing order. 2, -3, -211 Sort -5, 6, -15, 1. -15, -5, 1, 6 Put -111, 5, -0.19 in ascending order. -111, -0.19, 5 Sort -628, 1, 2 in descending order. 2, 1, -628 Sort 0, -134, -2. -134, -2, 0 Put -3/11, 0.3, 3/5, -0.1, 1/8 in ascending order. -3/11, -0.1, 1/8, 0.3, 3/5 Put -5, 0, 1, -4, -16 in descending order. 1, 0, -4, -5, -16 Put -5, 3, -45, -6 in increasing order. -45, -6, -5, 3 Sort 0, -44, 0.4, -1, -10 in increasing order. -44, -10, -1, 0, 0.4 Sort -3, -2, -16 in increasing order. -16, -3, -2 Sort 0, -75, -4, 4. -75, -4, 0, 4 Sort -18, -0.1, 0 in increasing order. -18, -0.1, 0 Put -4, -0.3, 0.1, 13551, -3/2 in decreasing order. 13551, 0.1, -0.3, -3/2, -4 Put -0.2, 4, 0.2, 9, -716 in descending order. 9, 4, 0.2, -0.2, -716 Sort -2, 2, -6, -3, 1 in increasing order. -6, -3, -2, 1, 2 Sort -4, -5, -3, 19 in ascending order. -5, -4, -3, 19 Sort -3, 3, 2/11, -3.3 in ascending order. -3.3, -3, 2/11, 3 Sort -5, -2/19, -0.073 in descending order. -0.073, -2/19, -5 Sort 2/21, -0.07, -2/3, 0.4 in decreasing order. 0.4, 2/21, -0.07, -2/3 Sort -0.06, 1/5, 2/5, 159. -0.06, 1/5, 2/5, 159 Sort -1, 4, 2, 19, -2. -2, -1, 2, 4, 19 Sort -18/35, -1/6, 2/3, 1/5. -18/35, -1/6, 1/5, 2/3 Sort -2, 0.18, 3, -2/13, 0.1 in decreasing order. 3, 0.18, 0.1, -2/13, -2 Sort 1/5, 1/2, -1/2, -1/3. -1/2, -1/3, 1/5, 1/2 Sort 8, 31, 0 in ascending order. 0, 8, 31 Sort -0.2, -1, -3, 0.68 in increasing order. -3, -1, -0.2, 0.68 Put -0.1, -348, -4/7 in descending order. -0.1, -4/7, -348 Sort -14, 2, 4, 0. -14, 0, 2, 4 Put -5, -9, -1, 3 in ascending order. -9, -5, -1, 3 Put 3, 40, -5 in increasing order. -5, 3, 40 Put -37, -5, 1.9 in descending order. 1.9, -5, -37 Sort 1/13, 2, -2/7, 5. -2/7, 1/13, 2, 5 Put 4, -4, 2, -63 in decreasing order. 4, 2, -4, -63 Put -7, -0.03, -4, 3, -3/7 in increasing order. -7, -4, -3/7, -0.03, 3 Sort -0.13, 2/5, 2/7, -0.3 in descending order. 2/5, 2/7, -0.13, -0.3 Sort 6, 5, 9. 5, 6, 9 Sort 2, -4, -13, 1 in increasing order. -13, -4, 1, 2 Sort -65, 2, 5, 3. -65, 2, 3, 5 Sort -10, 23, -5 in decreasing order. 23, -5, -10 Sort 2, 45, 5, -3. -3, 2, 5, 45 Put 1, -1646, -2 in decreasing order. 1, -2, -1646 Sort 5, 0, -2, 253, -3 in decreasing order. 253, 5, 0, -2, -3 Sort 2, -46, 1. -46, 1, 2 Put -5, 62, 3 in ascending order. -5, 3, 62 Put -16, -11, -4 in descending order. -4, -11, -16 Put -3, 1, 4, -77 in decreasing order. 4, 1, -3, -77 Put 113, -2, -3, 2 in decreasing order. 113, 2, -2, -3 Sort 5, 1, 0, -5 in descending order. 5, 1, 0, -5 Put 2, -0.108, -0.05 in increasing order. -0.108, -0.05, 2 Sort 669, 5, -3 in increasing order. -3, 5, 669 Put 2, 3, 1 in decreasing order. 3, 2, 1 Put 2, 3, -32 in increasing order. -32, 2, 3 Sort 10, 12, -5. -5, 10, 12 Put 15, 6, 3 in ascending order. 3, 6, 15 Put 94, -5, 2, 3 in ascending order. -5, 2, 3, 94 Put 1, -134, 3 in decreasing order. 3, 1, -134 Put 0, 5, 116 in descend
{ "pile_set_name": "DM Mathematics" }
2. Solve -z = z + d for z. -3 Let o = 26 + -6. Suppose -5*b - 5*k = 260, -k - 3*k - o = 0. Let q = 52 + b. Solve 0 = -t + q for t. 5 Suppose -w + 3*k + 6 = 0, 8 = 3*w - 2*k - 2*k. Let f(s) = -s**2 - 3*s + 13. Let v be f(-5). Solve w = 4*u - 3*u + v for u. -3 Let y(v) = 2*v**2 + 2137*v - 12844. Let r be y(6). Solve 513 = -7*g - r*g for g. -9 Let l = 329 + -300. Suppose 3*j = -5*m + 5, l*j - 25*j + 3*m - 14 = 0. Solve -j*h - 9*h - 56 = 0 for h. -4 Suppose -46*x + 79*x + 60 = 43*x. Solve -x*v + 61 = 85 for v. -4 Let p = 2 - 0. Suppose 123 - 27 = 32*l. Suppose -l*w + 21 = -3*q, 6*q - p*q = 3*w - 24. Solve -6 = w*i + 14 for i. -5 Suppose 50 = -d + 6*d. Suppose -d = 3*y - 8*y. Suppose h = -22 + 27. Solve -3 = -y*t + h*t for t. -1 Let l(k) = k**2 + 8*k + 10. Let b be l(-7). Let u be (-4 + 3)*(-5 - -5). Suppose z = 3*v + 5, 3*v + u*v + b = 0. Solve -4*t + z*t = -10 for t. 5 Let u be 0/(7/(-1))*-1. Suppose -104*a + 111*a - 63 = u. Solve a*g = 13*g - 20 for g. 5 Let t(h) = 2*h**2 + 80*h + 213. Let x be t(-39). Solve -8*l = 111 - x for l. 3 Suppose 20 = -34*d + 14*d. Let b be 17 - -10 - (d + 2). Solve 29*j = b*j - 9 for j. -3 Let k be 9/15*(-5)/(-1). Suppose 3*g = -16*x + 12*x + 38, 2*x + 4*g - 34 = 0. Solve -k = x*w + 12 for w. -3 Let w be (48/(-24))/(4/(-56)). Solve -166*u = -159*u - w for u. 4 Let t(u) = 2*u**2 - 6*u + 1. Let h be t(-5). Let v = 81 - h. Suppose v = -j - 4*j + 20. Solve -2 = 2*d + j for d. -3 Let h(k) = k**3 + 17*k**2 - 10*k + 1. Let a be h(-8). Let j be (20/(-26))/(-5) + a/39. Suppose -o + 24 - j = 0. Solve -2*i = -o*i - 10 for i. -2 Suppose -115*h - 595*h + 6 = 6. Let y = -27 + 67. Solve 6*p + 2*p - y = h for p. 5 Let b(g) = -2*g**2 + 9*g - 2. Let v be b(4). Let d be 5 - 4 - (v - 1). Suppose -4*u + 0*u + 4 = d. Solve n + u = 6 for n. 5 Suppose -5*w - 26 = -l, 19 = -3*w + 7. Let v = l + -4. Solve v*o - 6 = -o for o. 2 Let o be 0 - 2 - ((0 - 3) + 4). Let m be (o - (-25)/5) + 6. Suppose -4*a + 0*r + 5 = -r, 2*a = -4*r - 20. Solve a = 2*u + 2 + m for u. -5 Let o be (-2652)/(-104) - ((-6)/(-4) + -1). Suppose 3*w + 44 - 11 = 0. Let x = w + 17. Solve y - x*y + o = 0 for y. 5 Let h be (-21276)/6501*55/(-2). Solve -58*j = -68*j - h for j. -9 Let o(r) = r**3 + 6*r**2 - 4*r + 21. Let d be (-5)/(-15) + (16/(-3) - 2). Let q be o(d). Solve 3*k - k + 8 = q for k. -4 Let f be (-3)/(-12)*4*-2 + (6 - -7). Solve 30*k = -f*k - 164 for k. -4 Let g(b) = -b + 14. Let l be g(12). Suppose 4*q - 84 = -20. Suppose 3*o - 2*u = q, 4*o + 5*u = -0*u + 52. Solve l*x - o = -0*x for x. 4 Let t(i) = -i**3 + 3*i**2 + 2*i. Let o be t(3). Let f(z) = -116*z - 28754. Let k be f(-248). Solve o = -4*w + k for w. 2 Let n = 825 - 821. Suppose -35 = -5*s - 5*r, s + 8 = 2*r - 0. Solve -n = -s*b - 10 for b. -3 Let l(d) = d**3 - 4*d**2 + 9. Let y be l(3). Solve -2*i - 20 + 30 = y for i. 5 Suppose 8*y + 54 = 30*y + 54. Solve y = -938*f + 939*f + 4 for f. -4 Let c be (38/4*8)/(-150 - -151). Solve -c = -2*p - 70 for p. 3 Let x = -13 - -5. Let z be 442/136 - 6/x. Solve -7 = o - z for o. -3 Let n = -375 + 380. Suppose -3*a + 3*g + 15 = 0, -n*a - 2*g = -71 + 25. Solve 0 = -2*s - a*s + 40 for s. 4 Suppose -26*n + 5*n + 147 = 0. Suppose 5*c = t + 64, 3*t = -5 - n. Solve 6*g + c = 3*g for g. -4 Suppose 2*q = 4*l + 8, 4*q - 11 = 3*l + 5. Let s be -1*(2/q + (-30)/12). Solve -2 - s = -4*r for r. 1 Let x(a) = a**2 - 6*a - 4. Let l be x(7). Let y = -275 - -294. Solve -y = 4*w - l for w. -4 Let u be (-1 + 16)/((-162)/(-378)). Suppose 5*z + 2*p - u = -10, -3*z - 1 = -2*p. Solve -z*h - 12 = -0*h for h. -4 Suppose 26*i + 86*i = 29*i + 1660. Solve 3 = -23*o + i*o for o. -1 Let j be -54 + 20163/376 + ((-258)/(-16))/3. Solve -276 = 97*o - j*o for o. -3 Let i(y) = -4*y - 46. Let v be i(7). Let l = -65 - v. Solve 3*j + 3 = l for j. 2 Let n(f) = f**2 - 35*f + 285. Let o be n(12). Solve -o*t - 28 = -16*t for t. 4 Let a(h) = 1979*h - 1889. Let u be a(1). Solve -12*d + u = 54 for d. 3 Let j be 9 - (-2 + 4 - 0 - -1). Let q be (8/j)/((-13)/(-39)). Suppose 3*w + q = 19. Solve 1 = y + w for y. -4 Let d(y) = -7*y. Let i be d(3). Let h = -17 - i. Suppose -h*x + 25 = x. Solve -15 = -2*s + x*s for s. -5 Let n be ((20/(-125)*-5)/(2/(-3)))/(12/(-90)). Let l = -2 + 4. Solve n = -l*i + 9 for i. 0 Let l(f) = 10*f**2 + 2*f - 10. Let s(w) = -w**3 + 29*w**2 + 6*w - 29. Let z(p) = 17*l(p) - 6*s(p). Let a be z(2). Let t = a - 28. Solve 0 = 4*q - 0 + t for q. -1 Let t = -10418 - -10441. Solve 9*o + 95 = t for o. -8 Let w be -3 - (-1 - (-56)/(-7)). Suppose i - 6 = -3*a, -6*a = 3*i - a - 10. Suppose i = b - 0*b - 2. Solve 0 = -w*d + 4*d + b for d. 1 Let p = 2322 + -2279. Solve 4*g - p + 63 = 0 for g. -5 Suppose 0 = 8*j + 2*x - 234, 0 = -4*x + 123 - 151. Solve -25*g = -j - 119 for g. 6 Suppose 3*v - 4*v = -3*v. Suppose j + 5*j = v. Solve 4 = x - j for x. 4 Let r be -2 + (92 - -4) + -1. Let t = r + -85. Suppose -y - 28 = -t*y. Solve y = -4*l + 8*l for l. 1 Suppose -4 = -c - f, 8 = 4*c - c - f. Suppose -4*x + 136 = 2*m, c*x + 3*m = -65 + 161. Suppose -x + 6 = -3*a. Solve -z = 4*z - a for z. 2 Let t be (182/(-195)*5)/(2/(-27)) + 0. Solve -58 + t = 5*x for x. 1 Let w = 7648 + -7508. Solve w*g + 119 = 157*g for g. 7 Let r = -64 + 92. Let v = r + -38. Let n be (-6)/v + (-24)/(-10). Solve 5*a = n*a + 10 for a. 5 Let w = -325 + 376. Suppose -176 + w = -5*y. Solve y = 14*d - 9*d for d. 5 Let l = -954 + 956. Suppose 0*o - o = 18. Let u = 21 + o. Solve u = 5*c - l for c. 1 Suppose 0 = -d + 3*m - 8*m + 11, -5*d + m = -81. Let i(h) = h**2 - 21*h + 85. Let r be i(d). Solve -r*z - 2*z - 35 = 0 for z. -5 Suppose 0 = 67*d - 18*d - 2303. Solve 23*o - d = -93 for o. -2 Let o(z) = 23*z**3 - 2*z**2 + z. Let b be o(1). Suppose 5*s + 0 - 18 = -t, 2*t = -3*s + b. Solve -4*i - t = -0*i for i. -2 Let j be (-504)/(-96) - (3/(-4) - -1). Suppose j*q - 120 = 2*p + 2*p, -3*q + 4*p = -72. Let r be (-18)/4*q/(-54). Solve 2*m - 4 = r for m. 3 Let c be (-5)/25 + (-64)/5. Let n = c + 17. Suppose 3*y = n*v, -3*v = -4*y + v. Solve y = m - 5 + 1 for m. 4 Let d(o) = -47*o - 188. Let f be d(-4). Solve f = 10*h - 6 - 4 for h. 1 Suppose u + 0*c = -3*c + 53, -4*u = -2*c - 254. Suppose -u*r + 60*r = -68. Let x = 35 - r. Solve -4*t + 3*t = x for t. -1 Let h be ((-11)/(-2)*1/(-2))/(17/(-136)). Solve h*i + 24 = 19*i for i. -8 Let w(x) = -2*x**3 - 4*x**2 - 3*x - 3. Let m be w(-3). Suppose m = 44*z - 38*z. Solve z*t + 12 = 7*t for t. 4 Let m be (-1)/3*(214 - -5). Let n = 45 + m. Let u = n - -29. Solve 2*d = u - 7 for d. -3 Let t = -372 + 149. Let h = -216 - t. Solve 0 = 2*u - h*u for u. 0 Suppose -2*g - 199 = -3*p + 378, -4*p + 2*g + 768 = 0. Suppose -p = -5*a - 3*z, -2*a + 3*z - 2*z + 83 = 0. Solve -a = 7*j - 5 for j. -5 Let h be 206/7 + 2*36/(-168). Suppose 0 = -c + 2, -2*c = k + h - 49. Solve -49*i = -45*i + k for i. -4 Suppose -3*s = -4*h - 21, s + s + 4*h + 6 = 0. Let d(j) = -13 + 573*j + 4*j**2 - 573*j. Let b be d(3). Solve b - s = -5*m for m. -4 Let j be 1 - (0 - (-4 - -26)). Suppose -j*y = -18*y + 160. Let g = y - -32. Solve 3*a + g + 6 = 0 for a. -2 Suppose 0*c + c - 4 = 0. Suppose 4*i - 23 = -3*s, 4*s = -c*i + 2 + 22. Let m = -6581 - -6586. Solve m = -i*x + 4*x for x. -5 Suppose 3*m - 3 = -9*j + 4*j, 2*j - 4*m = 22. Suppose 4*w - 4*w = -j*w. Suppose n + 2*v - 3 = w, v - 6 = -2*n - 0*v. Solve -n*g + 2 = -5*g for g. -1 Let u be (-1 - 4)*21/35*-27. Solve -16*m = 17 - u for m. 4 Suppose 0 = -5*w - 20 - 10. Let p(j) = -j**3 - 8*j**2 - 14*j + 3. Let s be p(w). Let n be 5/s - 10/(-6). Solve 7*i = n*i for i. 0 Suppose 28*h + 20*h = -96. Let u(m) = -20*m - 7. Let y be u(h). Solve k = 12*k + y for k. -3 Suppose 4*o + 5*q = 0, o - 15*q = -13*q. Suppose -3*c = 4*j - 35, 2*j + o*c = c + 5. Solve -j*p + 8 = -p for p. 2 Suppose 63 = 11*x - 2*x. Let n be ((-87)/(-12) - x)/((-1)/(-12)). Suppose -n*p = -5*w + 1, -w = -p - 4*p + 35. Solve 5*i - p + 3 = 0 for i. 1 Let c be 1/7 + 7/(98/600). Suppose 0 = 3*g - c + 7. Solve -2*d + g - 4 = 0 for d. 4 Let f(v) = 983*v + 8005. Let t be f(-8). Solve -28*l = 19*l + t for l. -3 Suppose 71*p - 17*p = -16*p. Solve -17*h + p*h - 34 = 0 for h. -2 Let r = 400 - 400. Suppose 0*y - 8*y + 968 = r. Solve 0 = c - 117 + y for c. -4 Let i = 20175 + -20167. Let u(v) = -v**2 - v - 6. Let h(a) = a**2 + a + 5. Let m(r) = 5*h(r) + 4*u(r). Let p be m(-3). Sol
{ "pile_set_name": "DM Mathematics" }
losest to -1? (a) 0 (b) -3 (c) -2/13 (d) 1/2 c What is the closest to 3 in 4, 630, -3? 4 What is the nearest to -7/2 in -31, 1/3, -3? -3 Which is the nearest to -1? (a) -42/23 (b) -1/5 (c) -1 (d) -3 c What is the closest to -2 in -4, 0.5, -0.4, 36? -0.4 What is the closest to 1 in -7, 1, 0, 4? 1 What is the closest to 0.2 in -0.3, -14, -10, -2? -0.3 What is the closest to 1 in -2, 3, 7/2? 3 What is the nearest to 5 in 4, -1.23, -1/5? 4 Which is the nearest to -2? (a) 2 (b) -2 (c) -1/10 (d) -0.04 b What is the nearest to 0 in -3, 1, -2/7, 4? -2/7 Which is the closest to -31? (a) 3 (b) 0 (c) 1/8 b What is the closest to 0.8 in 1/3, 0.9, -0.5? 0.9 Which is the closest to 1? (a) 3 (b) 95 (c) -2 a What is the closest to -0.8 in -2, 0.05, 1? 0.05 Which is the nearest to 0? (a) -2/7 (b) 50 (c) -3 (d) -0.4 a Which is the closest to -2? (a) -3/4 (b) 3730 (c) 2 a Which is the closest to -1? (a) -2/15 (b) -4 (c) -0.048 (d) 1 a Which is the nearest to 0.2? (a) 5 (b) -2 (c) -1/6 (d) -0.2 c What is the closest to 0.1 in 2, -0.5, 0.4, 2.4? 0.4 Which is the closest to -0.09? (a) 4 (b) 2 (c) 18 b Which is the closest to -7? (a) -3/8 (b) -0.5 (c) 0.5 b What is the nearest to -0.1 in -15, -2, -2/7, -3? -2/7 What is the closest to 1/5 in -1.4, 76, -2? -1.4 Which is the nearest to -13? (a) 5/2 (b) -4 (c) 0.15 b Which is the closest to -4? (a) -5/14 (b) -0.2 (c) -3.8 c What is the closest to -2/3 in 7, -0.3, -2/7? -0.3 Which is the closest to 0? (a) 2 (b) -53 (c) -3/5 (d) 0.2 d Which is the nearest to 1? (a) -0.5 (b) 1/10 (c) -1/7 (d) 5 b What is the nearest to 2/5 in 331, -0.4, -4? -0.4 Which is the nearest to 2.2? (a) -2 (b) 0.16 (c) 3 c Which is the nearest to -0.5? (a) -1 (b) 0.11 (c) -3 a Which is the closest to -1? (a) 1/3 (b) 1/10 (c) -2 (d) -4/3 d Which is the nearest to 0? (a) -4 (b) -1 (c) -12 (d) -1/3 d Which is the nearest to -2/11? (a) -0.3 (b) -3 (c) 0.7 a Which is the closest to -1/2? (a) 4 (b) 273 (c) 3 c Which is the closest to -1? (a) -2/3 (b) 19 (c) 0 (d) -4 a Which is the closest to -8? (a) -2/3 (b) -5 (c) 3 b Which is the nearest to 5? (a) 5 (b) -0.8 (c) 0.04 a Which is the closest to 1? (a) -1 (b) 1 (c) -0.08 (d) -2/9 b Which is the closest to -70? (a) -0.3 (b) -0.1 (c) -0.4 c Which is the closest to 0? (a) -52 (b) 0.3 (c) 3/17 c What is the closest to 0.1 in -4/7, -138, 1/7? 1/7 What is the closest to 0.2 in -2, -3.1, 0.06? 0.06 Which is the closest to -2? (a) -2 (b) -0.3 (c) -161 a What is the closest to -1 in 9, -32, 7? 7 What is the closest to 0.2 in -20, 5, -3, -1/3? -1/3 What is the nearest to 0 in -7, 1, 0.2, -5? 0.2 What is the closest to -1 in 2, 2/11, -0.3, 1? -0.3 What is the closest to 1/2 in -0.3, -4, 11, -3? -0.3 Which is the nearest to -9? (a) 0.4 (b) 0.1 (c) -7 c Which is the nearest to 0.2? (a) -3 (b) -4 (c) -85 a Which is the nearest to -7? (a) 1/4 (b) 5/2 (c) -2/5 (d) -0.5 d Which is the closest to 2? (a) -0.4 (b) -3/2 (c) 2/5 (d) 0.15 c Which is the nearest to 0.3? (a) 44 (b) -2 (c) 1/7 c Which is the nearest to -1? (a) -414 (b) -1 (c) 2 b What is the nearest to -1 in 3, 66, 0? 0 Which is the closest to 1? (a) 33 (b) -1 (c) 1 c What is the closest to -4 in -1/5, -4/3, -6, 0.4? -6 Which is the nearest to -0.011? (a) -19 (b) -0.4 (c) -3 (d) 1/9 d Which is the closest to -2/3? (a) -5/13 (b) 8 (c) 1/5 (d) 1.1 a Which is the nearest to 2? (a) 0.07 (b) -5 (c) -4 a What is the nearest to 1/156 in -3, 2/11, -0.5? 2/11 Which is the closest to -0.08? (a) -1/7 (b) 1/2 (c) -2/3 a What is the nearest to -5/7 in 2, 1, -13, -2? -2 What is the nearest to 0.1 in 1/2, 1, -0.2? -0.2 Which is the closest to -2? (a) 0.4 (b) 1/5 (c) -1/4 (d) 4 c Which is the closest to -3? (a) -20 (b) 5 (c) -4 c What is the closest to 0 in -3, -0.04, -4/7, 16? -0.04 Which is the nearest to -1/20? (a) 12/5 (b) -1/6 (c) 0.1 b Which is the nearest to -0.4? (a) 2/5 (b) -12 (c) -0.2 c What is the closest to 1 in 154, 1, -5, -0.07? 1 What is the nearest to 74 in -4, 0.2, -11? 0.2 What is the closest to -2 in 0, -8, 0.1? 0 What is the closest to 1 in 0.15, -2, -4, -5? 0.15 What is the nearest to -1 in -100/7, -1/2, -2? -1/2 What is the nearest to -3 in -1, 0.2, 4, 2/23? -1 Which is the nearest to 0.1? (a) -12 (b) 5/2 (c) 8/7 c Which is the nearest to -2/5? (a) 0.01 (b) 2/5 (c) 3 (d) -0.1 d What is the nearest to 2 in -12/7, -3/5, -15? -3/5 What is the closest to 1 in -59, -4, 1? 1 Which is the nearest to -1/3? (a) -197 (b) -0.2 (c) -2 b Which is the nearest to 0? (a) 1/2 (b) 2 (c) 6 a What is the nearest to 2/9 in -0.2, -2, -4, 2? -0.2 What is the closest to 0.1 in 2, 1, 41? 1 Which is the nearest to 1/11? (a) -1 (b) -0.5 (c) 0 c Which is the nearest to 1? (a) -0.38 (b) -4/5 (c) 3 (d) -0.7 a What is the closest to -1/2 in 1.1, 2/17, -1/7, -1? -1/7 What is the nearest to 3 in 3/8, -1/5, -0.321, 4? 4 What is the nearest to 2 in -1, -14, 3, -5? 3 Which is the nearest to -0.1? (a) -6 (b) -1 (c) -3 b Which is the closest to 7? (a) 2/23 (b) -4 (c) 0 a Which is the nearest to -0.1? (a) 2/15 (b) -3/8 (c) -0.3 (d) -1 c Which is the nearest to 1? (a) 0.08 (b) 0.4 (c) -2 b What is the nearest to 5 in 1/11, -18, -5, -2/7? 1/11 What is the nearest to 4 in 3/2, 1, -1/4, 0.1? 3/2 Which is the closest to 4? (a) -4/3 (b) 0.4 (c) -0.4 (d) 0.3 b Which is the nearest to 0? (a) -3 (b) -2/311 (c) 1 b Which is the closest to -36? (a) 4 (b) -75 (c) 0 c What is the closest to -1/3 in -5, 2/11, -1, 1/11? 1/11 Which is the closest to -1? (a) -2/7 (b) 64 (c) 3/7 (d) 3/4 a What is the nearest to -3 in 1, 0.2, 9, -1? -1 What is the closest to -0.3 in 3, -0.5, 1/13, 0? -0.5 What is the nearest to 0 in -3, 4, -17? -3 What is the closest to 2/3 in -1277, 0, -0.2? 0 Which is the closest to 1? (a) 26 (b) -4/11 (c) 1 c Which is the nearest to -4/5? (a) -0.1 (b) 2 (c) -10/9 c Which is the closest to 1.6? (a) 2 (b) -1.7 (c) 5 a Which is the nearest to -1? (a) -0.4 (b) -4 (c) -1/10 (d) 3/8 a What is the nearest to 3 in -0.2, 2, -0.4, 7/3? 7/3 What is the closest to -0.2 in -5, 11, 5, -11? -5 Which is the closest to 0.2? (a) -11 (b) 2/11 (c) 0.2 (d) -1 c Which is the nearest to -2/19? (a) 5 (b) -2 (c) 3 b Which is the nearest to 4? (a) 15 (b) 0 (c) 3 (d) -3 c What is the nearest to -2/11 in 8, -3, 0, -5? 0 What is the closest to -1/2 in -2/5, 4, -2/17? -2/5 What is the closest to -2 in -55, 0.7, 3? 0.7 Which is the nearest to -1? (a) 0.5 (b) -29 (c) 0.2 (d) -0.2 d Which is the nearest to 17? (a) -3 (b) 4/5 (c) 2 (d) 0.5 c Which is the closest to 1/3? (a) 1/3 (b) -4 (c) -0.29 (d) 5 a Which is the closest to -3/7? (a) 0.02 (b) 1/5 (c) 22/7 a What is the closest to -1 in 0.11, 1, 94, -0.2? -0.2 Which is the nearest to 1/3? (a) 0 (b) 34 (c) -3 a What is the nearest to 0 in -12/43, -1, 5? -12/43 Which is the closest to 1/3? (a) 2 (b) 4 (c) 1/42 c What is the nearest to -32 in -2/5, -0.5, -4/3, 2/13? -4/3 Which is the closest to -0.5? (a) 0.1 (b) -3/8 (c) 2 (d) -2 b Which is the nearest to -0.2? (a) 0.1 (b) 11 (c) 2/5 (d) -4/9 d What is the closest to 2 in 0.2, 1, -6? 1 Which is the nearest to 0? (a) 0.2 (b) -0.3 (c) 36 (d) -25 a What is the closest to -2.8 in 2/3, -5, 3? -5 Which is the nearest to -1/3? (a) 0.108 (b) -0.1 (c) -0.3 (d) -4 c Which is the closest to -2/5? (a) -0.3 (b) 3 (c) 42 (d) 1 a What is the nearest to 0 in -0.31, 1, -0.2, 28? -0.2 What is the nearest to -1 in 2/5, -2.8, 4? 2/5 Which is the nearest to -1? (a) 4 (b) -5 (c) 107 b What is the nearest to 2/7 in 3/127, -2, -1/11? 3/127 What is the closest to 2/5 in -0.5, 0, 2/5, -21? 2/5 Which is the closest to -25/2? (a) -2 (b) -4 (c) -4/3 (d) -107 b What is the closest to -0.2 in -7, 2, -3, -1/4? -1/4 Which is the closest to -1? (a) 1/4 (b) 13 (c) 0.4 a What is the closest to -1/16 in 5, 0.4, -2/7, -0.3? -2/7 Which is the nearest to -1? (a) -0.4 (b) 7 (c) -0.5 (d) 3 c Which is the nearest to 1? (a) 0.3 (b) -0.2 (c) -1 (d) -12.3 a Which is the nearest to 0.1? (a) -4 (b) 0.4 (c) 1/12 (d) -9 c Which is the closest to -3? (a) 28.2 (b) -5 (c) -2/13 b Which is the closes
{ "pile_set_name": "DM Mathematics" }
0.570118. -30.606178 Work out 6356408591 + 968. 6356409559 61466 + 15.15517422 61481.15517422 What is 1162217602 minus 24945? 1162192657 Work out -0.2 + -3.3154121971. -3.5154121971 What is -0.133108596 - 10.171? -10.304108596 What is -835 + 66456786? 66455951 What is 0.01 take away 16.3757653176? -16.3657653176 Work out 0.0179 + 430797425. 430797425.0179 What is -243196398 + -14367? -243210765 5+10412383719882 10412383719887 Sum 3.508901744 and -174.2. -170.691098256 2.45127101882303+-5 -2.54872898117697 -0.414181947+582 581.585818053 Subtract -0.79 from -10099428116. -10099428115.21 What is -271 less than 1939977.15684? 1940248.15684 What is -4601874.811 take away -0.5? -4601874.311 Add together 8788.588 and -346.014. 8442.574 What is -0.7536 minus 34.4124947? -35.1660947 1881452632+317.17 1881452949.17 Work out -788223640.64 + 1420. -788222220.64 What is 837961 plus -51372829? -50534868 What is 149 + -9966184.43? -9966035.43 Subtract -91 from 5076950838942. 5076950839033 Work out -1415776874 - 3023. -1415779897 What is the difference between -1332065582717 and -0.3? 1332065582716.7 What is the difference between 2418.35 and 0.143448466? 2418.206551534 Sum -36593444259 and 153.16. -36593444105.84 What is 0.454826 take away 184608.11? -184607.655174 What is -0.0466 plus 11488312830? 11488312829.9534 Calculate -29 + 58418680085. 58418680056 Add -1.2 and 24928.412667. 24927.212667 What is 1167 - -45252285? 45253452 What is -81.665 - -70.336272? -11.328728 Calculate -40106 + 2013695. 1973589 What is -86 minus 382888906514? -382888906600 Sum 4 and 23536965152487. 23536965152491 Put together -32.98 and 1185738188. 1185738155.02 Total of 16.20191 and -126047.6. -126031.39809 What is the difference between 5.6 and -0.031964605588? 5.631964605588 What is -804606274 + -26.6? -804606300.6 What is 0.00126 - 106904220? -106904219.99874 -3438933169 + 59399 -3438873770 Work out -27977545 - -549.1438. -27976995.8562 What is 0.3 - -20798752561868? 20798752561868.3 Add 364182578.958 and 0.16. 364182579.118 What is 79689391 plus 40696? 79730087 Calculate 126928 - -1775314655. 1775441583 Calculate -9283784154 - 1.021. -9283784155.021 What is 306407739907 - 3133? 306407736774 What is 0.6 take away -26319902000? 26319902000.6 Work out -9.09853644 + 0.058. -9.04053644 Add 4.8 and -2145370868.4. -2145370863.6 What is the distance between 18 and 0.24841432965? 17.75158567035 Add -0.053947898114 and -35. -35.053947898114 What is 5 plus 294530191033.1? 294530191038.1 What is the difference between 292.5 and -928657116? 928657408.5 What is the distance between -2 and 17907199103484? 17907199103486 What is 12678798.4 less than 736? -12678062.4 Total of 8959991.91383 and 0.2. 8959992.11383 What is -17906 + -14.308202791? -17920.308202791 Calculate -0.2226681004 - -0.01423. -0.2084381004 What is 875.46822 take away 1625.63? -750.16178 What is -0.05 - 6562537786.161? -6562537786.211 What is -21495770 plus -55922? -21551692 Put together -5 and -53586.592829. -53591.592829 What is 203963346 plus 1009? 203964355 Subtract -72645523.438 from -0.12. 72645523.318 What is -7161512040 plus -26.9? -7161512066.9 Total of 0.3 and -2718445.36323. -2718445.06323 Total of -35 and -2020938238266. -2020938238301 Work out 25970870.9484 - 4. 25970866.9484 What is the difference between 41171304730 and 0.6378? 41171304729.3622 Put together 0.4 and 374896442.77. 374896443.17 Add together -327072672888 and -56. -327072672944 What is 59 plus -2403909053.88? -2403908994.88 Subtract -868.8704178 from -519. 349.8704178 Calculate -148197553716 - -0.832. -148197553715.168 What is the difference between 16652287331440 and 0.2? 16652287331439.8 What is -0.0003611621 minus 1.1771? -1.1774611621 Add together -4 and 472.4912301698. 468.4912301698 What is -4.897844 - -7123? 7118.102156 Work out 0.54525168618344 - -3. 3.54525168618344 Add together -57 and 42345855504. 42345855447 What is -1310538419375 less than -0.3? 1310538419374.7 Subtract 129 from -5311650207. -5311650336 Work out -1431072 + -0.15359. -1431072.15359 What is -0.1 less than 2115568329463? 2115568329463.1 Put together -125854 and -21652184. -21778038 What is -1968322 minus 6.072? -1968328.072 -4823.628 + -89.61295 -4913.24095 Put together 0.2 and 5803262166.52. 5803262166.72 Subtract 38 from 4778.4899816. 4740.4899816 -6654541840462+-2.72 -6654541840464.72 What is -1032349301.3151 take away 5? -1032349306.3151 Calculate 2581795 - 0.4556291. 2581794.5443709 Put together 20164.9468 and -176.6. 19988.3468 Calculate -49 - 7660168008. -7660168057 What is -8555562185 take away 0.1828? -8555562185.1828 -1379007 - -32472154 31093147 What is the distance between 1.6549447 and -232? 233.6549447 What is -0.2837 plus -1372157.96367? -1372158.24737 Total of -9870678 and 37545.89. -9833132.11 Add together 0.677 and -1834110849. -1834110848.323 Work out 0.23 - 1597778588320. -1597778588319.77 0.3121+5238.8177 5239.1298 What is -3874955 - 9551594? -13426549 Calculate 3058 + 10381830.5. 10384888.5 Total of 237640.95303 and -150. 237490.95303 Add together -232.4297328537 and -3. -235.4297328537 What is 1444.5331882139 less than -1.2? -1445.7331882139 What is -104.42 + 9.522? -94.898 Put together 4323 and -768346.8. -764023.8 Sum 0.16763 and -1045591.15. -1045590.98237 Add -125 and -2232327568. -2232327693 Put together -13 and 199209373.2481. 199209360.2481 Calculate -7512.1 - 677589094. -677596606.1 Total of 136285.77 and 687235. 823520.77 What is 61475133726358 - 4? 61475133726354 Work out 0.083 - 294.05972977. -293.97672977 What is -22.899 - -1031546397? 1031546374.101 What is 1986387505 take away 15294? 1986372211 Put together -0.081 and 100699984.59. 100699984.509 Calculate -472936 + 9.4354. -472926.5646 -103538 - -1.412994535 -103536.587005465 8161172+1366218 9527390 Calculate 854810182 + 1210. 854811392 What is -457393.461 take away 393.2? -457786.661 What is -64 + -3041237990? -3041238054 What is the distance between 389.225 and -1615.49? 2004.715 What is -0.033741 less than 10575.18? 10575.213741 Put together 145008.34579 and -0.35. 145007.99579 What is -16820564549 minus -73.1? -16820564475.9 What is the distance between 52.88 and 629.0849211? 576.2049211 Sum -4695030 and -162.834691. -4695192.834691 Put together -0.1 and 7655091.272915. 7655091.172915 Work out 380486964452 - 5. 380486964447 Put together 182 and -24425.53452984. -24243.53452984 Subtract -0.054509584 from 0.00869. 0.063199584 What is 0.1 - 25532177859? -25532177858.9 Work out -1.013 + 26885034. 26885032.987 What is -23495.8359 plus -294? -23789.8359 -24.1413767 - -0.44 -23.7013767 What is 0.2 - 1770916148275? -1770916148274.8 What is -0.044 less than -10.7519733119? -10.7079733119 What is -0.5 take away 2704.264459? -2704.764459 Add together -2449416658871 and 2. -2449416658869 What is -0.3 less than -229710669713.9? -229710669713.6 What is -15.0928858986 less than -0.1? 14.9928858986 -691903147.277+1.3 -691903145.977 What is 2219.527 minus -231234? 233453.527 0.01020003868 - -0.17 0.18020003868 Work out 2611.956879 - -0.02. 2611.976879 Work out -2008343105641 + -3. -2008343105644 What is 32874 - -314305.825? 347179.825 Work out 4 - 43.1904384479. -39.1904384479 Add together 175819 and 55300090.5. 55475909.5 Total of 0.5 and -1.7986918710713. -1.2986918710713 Add -3219834832 and 3.13. -3219834828.87 Total of 0.58304 and -750703. -750702.41696 Work out -0.09 + 45650.0219317. 45649.9319317 Put together 1123424243 and -0.0744. 1123424242.9256 Work out -0.317671 - -16.635641. 16.31797 Add together 3472077 and -0.1223939. 3472076.8776061 What is 677.92 plus -221439? -220761.08 Add together -3358829.92751427 and -1. -3358830.92751427 What is the difference between 13245755.59 and -0.19935? 13245755.78935 -137730981+-46998.8 -137777979.8 Work out 72738.9881 - -0.111. 72739.0991 What is -0.82 plus 0.036114645? -0.783885355 Work out -0.05258 + 37585924. 37585923.94742 What is -20.64153 less than -1346832? -1346811.35847 -0.4+-261336460777081 -261336460777081.4 Total of 0.2 and 107685136138. 107685136138.2 What is 13105 minus -791.63272? 13896.63272 Put together 8 and -132430573869. -132430573861 What is -196153 + 446.773? -195706.227 What is -28 less than 780177496228? 780177496256 Calc
{ "pile_set_name": "DM Mathematics" }
, 1, v Let y = -198 - -198.06. Sort -0.4, y, -1/10, -4 in ascending order. -4, -0.4, -1/10, y Suppose 2*w = y + 12, 2*w + 1 = 5*y + 29. Put -3, 3, 5, w in increasing order. -3, 3, w, 5 Let z = -22.2 + 40.53. Let v = -0.33 + z. Let n = v + -15. Sort n, -4, 5. -4, n, 5 Let i = 0.385 - 5.385. Sort -2/3, 649, i. i, -2/3, 649 Let k(x) = -x**3 + 7*x**2 - 7*x + 8. Let d be k(6). Let y = -9 + d. Suppose 6 = 5*j + 1. Put j, 4, y in descending order. 4, j, y Let h(l) = 23*l + 3. Let x be h(0). Sort x, 17, 0 in ascending order. 0, x, 17 Let w = 2300 - 2299.7. Sort 1/2, -11.2, w, -0.1. -11.2, -0.1, w, 1/2 Let a(o) = -4*o - 8. Let w be a(-3). Let q be (0 - 3)/(-6*(-3)/(-12)). Sort q, w, -5, 3. -5, q, 3, w Let h be -1 + 2/(2/(-1)). Let v(l) = 12*l**2 - 132*l - 4. Let k be v(11). Sort -15, k, h in decreasing order. h, k, -15 Let m be (9/24)/((-6)/(-32)). Put 7, 51, m in ascending order. m, 7, 51 Suppose -3*m = 2*f + 37, -m = 11*f - 6*f + 34. Suppose 5*b + 12 = 2*b. Sort 3, 1, b, m in descending order. 3, 1, b, m Suppose 7*t + 24 = -25. Suppose -2*z + 2 = -3*z. Sort z, 1, t in decreasing order. 1, z, t Let b = -151.02 - -151. Suppose -7*m + 3*m - 12 = 0. Put b, m, 0.4 in decreasing order. 0.4, b, m Suppose 10 = 6*r - r. Let k be (2 + 2)*1/r. Suppose k*u = 5*u + d + 13, 5*u - d = -19. Put 3, -1, u in ascending order. u, -1, 3 Suppose -4*s - s - 5*o = -45, 21 = -s + 5*o. Let w be 6 - (-20)/30*(-18)/s. Put 5, w, 0, -5 in decreasing order. 5, w, 0, -5 Suppose 5*k - t - 205 = 0, -2*k = -k - t - 37. Let y be 72/k + 2/7. Let c be (-2)/(-5)*50/(-24). Sort y, c, -1/4 in ascending order. c, -1/4, y Suppose 0 = -5*a + 2*r - 17, 6*r - 2*r = a - 11. Let y = -3.07 + -0.03. Let b = y - -6.1. Put -1/2, a, b in increasing order. a, -1/2, b Suppose 8*g = 14 + 26. Suppose 3*a - a - 10 = 5*b, a - g = 4*b. Put 1, a, -0.1, -1 in decreasing order. a, 1, -0.1, -1 Let b be 1 + 1 + (-1125)/540. Sort b, 4, -0.1, 0.1. -0.1, b, 0.1, 4 Let l = 182 - 185. Let a(d) = d**2 + d - 2. Let v be a(2). Suppose 0 = v*k - 5*k - 4. Sort 4, l, k in increasing order. k, l, 4 Let a be ((-1)/(-4))/(2/12). Let k = 30.25 - 32. Let v = k - -1.75. Put 1/2, a, v in decreasing order. a, 1/2, v Let m be ((-4)/5)/((-8)/(-40)). Let l = 39 - 34. Suppose 2*c + 1 = -5*o + 10, -l*c - 5*o + 30 = 0. Put c, m, 2 in ascending order. m, 2, c Suppose -4*i - 20 = -9*i. Let h be 1*(-42)/11 + i/(-22). Suppose 0*w - 5*p = 5*w - 40, -2*w - 3*p = -19. Put 3, w, h in descending order. w, 3, h Suppose -z - o = 56 - 49, 4*o + 18 = z. Sort z, -5, 0, -15 in descending order. 0, z, -5, -15 Let a be (-1)/((-35)/(-795)) - 3. Let s = 178/7 + a. Put 1/6, -0.2, s in descending order. 1/6, -0.2, s Let f(r) = r - 1. Let m be f(6). Suppose -4*q - 1 = 2*o - 5, -2*o + 5 = 5*q. Sort m, q, 4, -1. -1, q, 4, m Let c(n) = n + 9. Let y be c(-8). Let u be y - 3/((-6)/10). Let v be (8/32)/(u/(-4)). Sort -0.3, 4, v in ascending order. -0.3, v, 4 Let l be 33/(-24) - (-15)/12. Put -1.6, l, -3/7 in increasing order. -1.6, -3/7, l Let n = 146 + -149. Sort -1, 0, n, -2. n, -2, -1, 0 Let c be (4 + -1)*(-62)/(-6). Let r = -24.64 - -23.64. Put -2, c, r in decreasing order. c, r, -2 Suppose 16 = 443*t - 451*t. Let v(f) = f**2 - 4*f + 4. Let l be v(4). Sort 8, t, l in decreasing order. 8, l, t Let r(w) = 2*w + 2. Let u be r(-2). Sort -6, 0, u. -6, u, 0 Suppose 3*h = 5*j - 106, -4*h - 131 + 33 = 2*j. Let y = h + 22. Put y, -2, 5, 1 in descending order. 5, 1, -2, y Let z = -14 + 17. Let x be (2 - 2) + -2 + z. Let t be x/(-7)*21/7. Put 2, t, -2 in decreasing order. 2, t, -2 Suppose 8 = 4*m + 4*g - 20, 35 = 5*m - 3*g. Suppose 3*q + 0 - 14 = o, -2*o - 13 = -3*q. Suppose 5*v + 2*h = 10, -h - 4*h = -v + 29. Sort m, v, q. v, q, m Let t be -5*143/325 + 2/10. Put -3, t, -22 in ascending order. -22, -3, t Let y be (-508)/(-16) + 4*-1. Let j = y + -28. Sort 2/9, -0.5, j, 0 in decreasing order. 2/9, 0, j, -0.5 Suppose 0*v + v + 4 = -s, -5*v + 3*s - 4 = 0. Let o be 2 + v + 4 + (-12)/6. Put -4, 3, o in increasing order. -4, o, 3 Let t = -0.35 + -0.05. Let l = 35 - 58. Let p = 29 + l. Sort p, -0.5, t. -0.5, t, p Let h be 61/21 + -4 + 1. Let g = 31/105 + h. Let t = 8 - 13. Sort t, -1/4, g in increasing order. t, -1/4, g Let g be (-47)/(-2) + (-30)/(-80)*4. Sort g, 0, -2. -2, 0, g Let o = -1299 - -1274. Put 2, o, -16 in ascending order. o, -16, 2 Let q be 8/2 - 24/8. Put -3, 0.3, q, 2 in descending order. 2, q, 0.3, -3 Suppose -111*j + 108*j = -4*w + 5, w - 3*j + 1 = 0. Sort -8, w, -5 in increasing order. -8, -5, w Suppose 0 = l - 4*l + 12. Let x = -659 - -659. Put -5, x, -7, l in ascending order. -7, -5, x, l Let l = -0.12 + 1.07. Let h = -1.01 + l. Put 2, h, 9/2 in ascending order. h, 2, 9/2 Suppose 0 = 5*z - g + 2, z + 4*g = 5*g + 2. Let v(y) = y**3 + 11*y**2 - 11*y + 10. Let f be v(-12). Put -8, z, f in decreasing order. z, f, -8 Let x be 0*(1 + (-2)/4). Suppose -3 = p + z, 5*z - z + 8 = -2*p. Sort p, x, 7. p, x, 7 Let b = -702 - -700. Sort -38, b, -5 in decreasing order. b, -5, -38 Suppose 4*c - 13 = -133. Let p be (-14)/40 - c/50. Put p, 3, 0.1 in increasing order. 0.1, p, 3 Let m = 392 + -405. Put -6, -1, m in ascending order. m, -6, -1 Suppose 5*t - 22 + 2 = 0, 0 = -3*w - 3*t + 36. Put w, -8, 4, 1 in descending order. w, 4, 1, -8 Let m(x) be the second derivative of x**3/3 - 9*x**2/2 - x. Let v be m(7). Let d be 6/((-4)/(8/3)). Sort v, d, 0 in descending order. v, 0, d Let w = -7.2 - -7.6. Let r = -3.97 - -4. Sort w, -4/7, r, -5 in decreasing order. w, r, -4/7, -5 Let a = -1049.4 - -1049. Put a, 0.062, -5, -4 in decreasing order. 0.062, a, -4, -5 Let f = 21.35 - 21. Let l = f + -1.35. Sort -0.06, -4, l in decreasing order. -0.06, l, -4 Suppose v = 5*v - 2*x - 6, 5*v + x = -3. Suppose -3*m + 63*z - 67*z = 11, -2*m = -4*z - 26. Sort m, 2, v. v, 2, m Let h = -18 + 18. Let u be ((-16)/8)/((-3)/3). Put h, u, 4 in ascending order. h, u, 4 Suppose -2*b = -5 + 1. Suppose -411*q = -393*q + 54. Sort q, -1, b in ascending order. q, -1, b Let b = -1.2 - -1.07. Let p = b + -0.37. Suppose -4*l = -w - 15, -4*w = -l + 1 - 16. Sort l, -0.1, p in increasing order. p, -0.1, l Let y = -8.3 + 7.9. Put -0.1, y, 1/8, 2/9 in descending order. 2/9, 1/8, -0.1, y Let v = -74 - -77. Suppose 0 = 3*g - 3*k - 21, -g + 6*g + 3*k - v = 0. Sort -1, -4, g in decreasing order. g, -1, -4 Let z = 20 + -29. Let b = 9.3 + z. Sort b, 2, -1/4 in increasing order. -1/4, b, 2 Let a = 34 - 34. Suppose -5*z = 25, -3*j + z + 0 - 10 = a. Sort j, -3, -1, -4. j, -4, -3, -1 Suppose 28*s - 4*s = 120. Sort s, 4, 11 in ascending order. 4, s, 11 Suppose b - 1 + 8 = 0. Let x = -2 - b. Let j = 1 - 3. Sort x, j, -1. j, -1, x Let n = 14 + -2. Let r = 16 - n. Let s be 1 + -1 + 2 + -1. Sort 5, r, s. s, r, 5 Let h = 19 - 32. Let f = h - -18. Suppose -2*s = 3*k + 7, 4*k + 23*s = 25*s - 14. Sort f, -1/5, k in increasing order. k, -1/5, f Let f be 9/(-45)*(-1 - -1 - -1). Put f, -22, -0.4, 5 in descending order. 5, f, -0.4, -22 Let r = 0.1 + -2.1. Sort -2/7, 15, r, -0.5 in descending order. 15, -2/7, -0.5, r Let w(j) = 2*j**2 - 10. Let v be w(2). Sort -5, -3, v, 2. -5, -3, v, 2 Let g = 7 - 0. Let r = 3.51 + -1.51. Sort r, g, 0.5 in ascending order. 0.5, r, g Let w = -14 - -10. Let r be -1*(-2 - -2 - -11). Let l(a) = -a**2 - 10*a + 9. Let b be l(r). Sort b, 0, w. w, b, 0 Let q(g) = g + 1. Let m(r) = 2*r + 15. Let x(i) = -m(i) + 3*q(i). Let n be x(12). Suppose -2*w - 1 = -c - 14, -5*w + 22 = c. Sort n, c, 4 in ascending order. c, n, 4 Suppose 10 = -5*p - 0*b - b, 4*p + 4*b = -24. Put 3, -3, -21, p in decreasing order. 3, p, -3, -21 Let c(l) be the third derivative of -l**6/120 + l**5/60 + 2*l**3/3 - 6*l**2. Let n be c(0). Suppose 7 = -2*h - 3. Sort -1, n, h in decreasing order. n, -1, h Let n = 1318 - 1318. Put 8, -9, n, -5 in ascending order. -9, -5, n, 8 Suppose 4*s + 2 = 2*u, -2*s = 4*u - 5*s - 9. Let v = 96 - 78. Suppose 23*r = v*r - 15. Put -4, r, u in increasing order. -4, r, u Suppose 7*g + 18 = g. Let b = g - 1. Put -2/5, 3, b in increasing order. b, -2/5, 3 Let v(c) = c**3 - 4*c**2 - 2*c - 11. Let d be v(5). Let a be 7/(-2) + 2*1/d. Put -1, 17, 1, a in descending order. 17, 1, -1, a Suppose 8*m - 66 = 22. Put -3, 4, m, 2 in decreasing order. m, 4, 2, -3 Let p be (4/14)/((-15)/35). Let d be (-39)/135 + 4/10. Sort -2, p, d in a
{ "pile_set_name": "DM Mathematics" }
1 k, and 1 w. 9/91 What is prob of picking 4 i when four letters picked without replacement from iiiiuiiiiiiuiuuuii? 143/612 What is prob of picking 1 p and 2 v when three letters picked without replacement from {v: 2, d: 8, p: 1, z: 7}? 1/816 What is prob of picking 1 z and 1 x when two letters picked without replacement from xxzx? 1/2 Two letters picked without replacement from dbbfdbbblffblbdfblbl. What is prob of picking 2 f? 3/95 Calculate prob of picking 2 u and 1 i when three letters picked without replacement from iuuiiiiiiiii. 1/22 Two letters picked without replacement from {g: 3, i: 15, v: 2}. What is prob of picking 1 g and 1 i? 9/38 Calculate prob of picking 3 n and 1 b when four letters picked without replacement from ebbnnbbnnnbnnnbnqb. 49/255 What is prob of picking 1 s and 1 j when two letters picked without replacement from sstj? 1/3 Calculate prob of picking 2 y and 1 e when three letters picked without replacement from cyceccyrpcyeycecccc. 6/323 Two letters picked without replacement from jjjjjjjjjjjjdjjjdj. Give prob of picking 1 d and 1 j. 32/153 Calculate prob of picking 2 v when two letters picked without replacement from vevveveveevevvueveee. 18/95 What is prob of picking 1 b and 1 e when two letters picked without replacement from {b: 5, e: 3, h: 6, z: 1, c: 2}? 15/136 Four letters picked without replacement from {q: 4, u: 4, e: 5, v: 2}. What is prob of picking 1 u, 1 e, 1 v, and 1 q? 32/273 Two letters picked without replacement from {u: 1, h: 7}. What is prob of picking 1 u and 1 h? 1/4 Two letters picked without replacement from ecpctt. Give prob of picking 1 t and 1 e. 2/15 Calculate prob of picking 1 x and 1 v when two letters picked without replacement from vzoljox. 1/21 What is prob of picking 1 q and 1 y when two letters picked without replacement from yhqky? 1/5 Three letters picked without replacement from gjtgmjagogaojt. Give prob of picking 1 j, 1 m, and 1 g. 3/91 Four letters picked without replacement from njjjjjujjjnjju. What is prob of picking 2 n and 2 u? 1/1001 Three letters picked without replacement from vvvzvzvvvvv. Give prob of picking 2 z and 1 v. 3/55 Calculate prob of picking 1 g and 1 a when two letters picked without replacement from gaejgek. 2/21 Three letters picked without replacement from {p: 1, w: 2, x: 2}. Give prob of picking 1 x, 1 p, and 1 w. 2/5 Two letters picked without replacement from {b: 2, j: 10}. Give prob of picking 2 j. 15/22 What is prob of picking 1 b and 3 i when four letters picked without replacement from yiiccmcmmmcbkbicckm? 1/1938 Three letters picked without replacement from {q: 4, j: 1, y: 2, u: 6, t: 2}. Give prob of picking 2 q and 1 t. 12/455 Calculate prob of picking 4 e when four letters picked without replacement from {e: 5, a: 15}. 1/969 What is prob of picking 3 t and 1 m when four letters picked without replacement from {m: 5, t: 8}? 56/143 Two letters picked without replacement from {c: 3}. What is prob of picking 2 c? 1 Three letters picked without replacement from {a: 10, d: 2}. What is prob of picking 1 d and 2 a? 9/22 What is prob of picking 1 j and 3 w when four letters picked without replacement from {w: 5, x: 1, z: 6, j: 1, n: 1, g: 3}? 1/238 What is prob of picking 1 o and 3 j when four letters picked without replacement from jojojjo? 12/35 Three letters picked without replacement from bedheeeedbeedeeeddhe. Give prob of picking 1 e and 2 d. 11/114 Four letters picked without replacement from ttooeeemetweohhhteoo. Give prob of picking 3 e and 1 h. 4/323 Two letters picked without replacement from {j: 6, t: 1, e: 7, m: 3}. Give prob of picking 1 t and 1 e. 7/136 Four letters picked without replacement from sssssosssosss. Give prob of picking 4 s. 6/13 What is prob of picking 2 j, 1 v, and 1 z when four letters picked without replacement from {j: 1, v: 1, h: 1, s: 1, z: 1}? 0 Four letters picked without replacement from fmbbbzbfqbbbqbmfqb. What is prob of picking 3 q and 1 m? 1/1530 Three letters picked without replacement from {b: 1, z: 2, w: 1, c: 3}. What is prob of picking 1 z, 1 w, and 1 c? 6/35 Calculate prob of picking 3 o when three letters picked without replacement from {q: 2, o: 3}. 1/10 Two letters picked without replacement from wuvhheg. Give prob of picking 1 g and 1 h. 2/21 Four letters picked without replacement from iriiifiryiirriiriii. What is prob of picking 1 f and 3 r? 5/1938 Four letters picked without replacement from jvjjwjjjjjjjjjww. Give prob of picking 3 j and 1 v. 11/91 Two letters picked without replacement from {p: 4, c: 2, k: 1, e: 1, o: 3}. What is prob of picking 1 k and 1 o? 3/55 Calculate prob of picking 2 o when two letters picked without replacement from {o: 11, d: 2, e: 7}. 11/38 Two letters picked without replacement from {o: 2, l: 2, d: 7, x: 2, u: 1, c: 1}. Give prob of picking 2 x. 1/105 Two letters picked without replacement from kzkhhnrcnchchckrn. Give prob of picking 2 h. 3/68 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, b: 1}. 1/3 Four letters picked without replacement from bbvbbsbsspbvbbpbpsp. Give prob of picking 4 s. 1/3876 Three letters picked without replacement from zzxxzzbb. What is prob of picking 2 x and 1 b? 1/28 Calculate prob of picking 1 t, 1 z, and 1 n when three letters picked without replacement from {t: 1, r: 4, z: 2, n: 7}. 1/26 Four letters picked without replacement from tdtdttdddtttdtddtdtt. Give prob of picking 2 t and 2 d. 132/323 Three letters picked without replacement from wedaawrc. What is prob of picking 1 a, 1 e, and 1 r? 1/28 What is prob of picking 1 j and 2 l when three letters picked without replacement from zljlttjzlmzftlt? 12/455 Two letters picked without replacement from {t: 4, g: 6, d: 1}. Give prob of picking 1 g and 1 d. 6/55 What is prob of picking 1 i, 1 o, and 1 q when three letters picked without replacement from {o: 4, q: 7, i: 6}? 21/85 Three letters picked without replacement from rrjrrrrrjrrr. What is prob of picking 3 r? 6/11 Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {q: 2, j: 5}. 10/21 What is prob of picking 2 m when two letters picked without replacement from hmmh? 1/6 Two letters picked without replacement from qfcfqfffqccfqfc. Give prob of picking 2 f. 1/5 Calculate prob of picking 2 l when two letters picked without replacement from vluwvuvglvvvu. 1/78 What is prob of picking 1 q and 1 s when two letters picked without replacement from {e: 1, l: 1, x: 2, s: 1, c: 1, q: 1}? 1/21 Calculate prob of picking 1 g, 1 d, and 2 t when four letters picked without replacement from dtdgetdedetgmegm. 9/455 Calculate prob of picking 3 r when three letters picked without replacement from uuuuuuuuuuuuuuuruu. 0 Three letters picked without replacement from {d: 3, n: 1, x: 1, q: 1, g: 2, i: 4}. What is prob of picking 2 x and 1 n? 0 Three letters picked without replacement from cvchklo. What is prob of picking 1 l, 1 k, and 1 o? 1/35 Four letters picked without replacement from {e: 5}. Give prob of picking 4 e. 1 What is prob of picking 1 d and 3 p when four letters picked without replacement from {d: 4, p: 1, a: 9}? 0 Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {h: 1, u: 1, i: 1, k: 4, f: 5}. 2/33 Calculate prob of picking 2 l and 1 s when three letters picked without replacement from {r: 1, t: 1, l: 2, f: 2, s: 1, g: 8}. 1/455 Two letters picked without replacement from ccscwwcwcccmcccccshm. Give prob of picking 1 m and 1 w. 3/95 Three letters picked without replacement from {w: 4, g: 5, k: 7}. What is prob of picking 1 w and 2 k? 3/20 Two letters picked without replacement from nhjlhxf. Give prob of picking 1 l and 1 h. 2/21 Three letters picked without replacement from wnyxyywnwywx. Give prob of picking 3 w. 1/55 Calculate prob of picking 3 m and 1 u when four letters picked without replacement from {m: 18, u: 2}. 32/95 What is prob of picking 2 n when two letters picked without replacement from inini? 1/10 Two letters picked without replacement from ffffbyxfbdybdxyf. Give prob of picking 2 y. 1/40 Three letters picked without replacement from {a: 4, f: 2, h: 5}. Give prob of picking 1 a, 1 h, and 1 f. 8/33 Three letters picked w
{ "pile_set_name": "DM Mathematics" }
inator of -29/1288 and 41/3220. 6440 What is the common denominator of 39/14 and -155/378? 378 What is the smallest common multiple of 232 and 145? 1160 What is the smallest common multiple of 7 and 8? 56 What is the common denominator of 15/8 and -79/312? 312 Calculate the smallest common multiple of 182 and 42. 546 What is the lowest common multiple of 174 and 29? 174 What is the common denominator of 47/48 and 83/30? 240 Find the common denominator of 155/1554 and -44/259. 1554 What is the lowest common multiple of 2361 and 11018? 33054 What is the least common multiple of 12 and 678? 1356 Calculate the common denominator of -27/8 and 101/24. 24 What is the common denominator of -57/914 and -65/914? 914 Find the common denominator of 53/26 and -55/208. 208 Calculate the common denominator of -57/26 and 43/11. 286 Calculate the common denominator of 43/11 and 113/12. 132 What is the lowest common multiple of 12348 and 60? 61740 What is the least common multiple of 540 and 5940? 5940 What is the common denominator of -47/3 and -11/85? 255 Calculate the least common multiple of 125 and 25. 125 What is the common denominator of 131/2970 and -131/4158? 20790 Calculate the common denominator of -49/160 and -113/80. 160 Find the common denominator of -121/930 and -89/186. 930 What is the smallest common multiple of 52 and 156? 156 Calculate the lowest common multiple of 514 and 20. 5140 Calculate the smallest common multiple of 8 and 24. 24 Calculate the least common multiple of 11 and 22. 22 What is the common denominator of 23/205 and -7/123? 615 Calculate the smallest common multiple of 3075 and 50. 6150 Calculate the common denominator of 42/5 and 55/20616. 103080 What is the lowest common multiple of 220 and 160? 1760 Calculate the common denominator of 87/15338 and 1/16. 122704 What is the least common multiple of 14 and 2000? 14000 What is the lowest common multiple of 1098 and 488? 4392 Calculate the least common multiple of 4 and 1928. 1928 Calculate the lowest common multiple of 1065 and 120. 8520 Calculate the common denominator of 15/154 and -115/98. 1078 Calculate the common denominator of 41/14 and -149/1092. 1092 Calculate the least common multiple of 715 and 4745. 52195 Calculate the common denominator of -109/1360 and -16/5. 1360 What is the least common multiple of 275 and 300? 3300 Calculate the common denominator of -103/42 and -143/126. 126 What is the lowest common multiple of 70 and 90? 630 What is the least common multiple of 228 and 72? 1368 Calculate the common denominator of -71/450 and -59/60. 900 Find the common denominator of -43/343 and -3/7. 343 Find the common denominator of -79/784 and 9/1120. 7840 What is the common denominator of -97/990 and 53/450? 4950 Calculate the least common multiple of 1418 and 11. 15598 Calculate the least common multiple of 81 and 27. 81 Find the common denominator of -2/15 and 69/55. 165 Find the common denominator of 151/216 and -127/54. 216 What is the common denominator of -95/14 and 77/15408? 107856 What is the least common multiple of 24 and 404? 2424 What is the common denominator of 7/11 and 29/254? 2794 What is the smallest common multiple of 8 and 103? 824 What is the common denominator of -151/12 and -145/18? 36 What is the common denominator of -31/2602 and -85/6? 7806 Calculate the least common multiple of 78 and 18. 234 Find the common denominator of 79/128 and -43/24. 384 What is the common denominator of -79/30 and -19/123? 1230 What is the common denominator of -58/123 and 119/6? 246 What is the common denominator of -47/74 and 19/740? 740 Calculate the lowest common multiple of 12 and 816. 816 Calculate the smallest common multiple of 3 and 1356. 1356 Find the common denominator of 71/175 and -111/10. 350 What is the smallest common multiple of 4374 and 66? 48114 Calculate the common denominator of -57/20 and 43/6. 60 What is the smallest common multiple of 2 and 1044? 1044 Calculate the common denominator of -73/18 and -91/54. 54 Calculate the common denominator of -61/238 and -25/918. 6426 Find the common denominator of -77/80 and -33/160. 160 Calculate the smallest common multiple of 84 and 540. 3780 Find the common denominator of 75/32 and -127/60. 480 What is the lowest common multiple of 273 and 30? 2730 Calculate the common denominator of -74/639 and -145/846. 60066 What is the lowest common multiple of 8 and 5432? 5432 Find the common denominator of -5/4 and 11/457. 1828 What is the lowest common multiple of 1 and 315? 315 Calculate the smallest common multiple of 824 and 12. 2472 Calculate the common denominator of -79/4 and 25/846. 1692 Find the common denominator of -15/2266 and -13/11. 2266 What is the smallest common multiple of 52 and 1456? 1456 What is the lowest common multiple of 120 and 16? 240 What is the lowest common multiple of 88 and 297? 2376 Calculate the smallest common multiple of 104 and 48. 624 What is the least common multiple of 4 and 132? 132 Find the common denominator of -41/1988 and 83/4. 1988 Calculate the lowest common multiple of 10464 and 480. 52320 Calculate the common denominator of -97/28 and -29/560. 560 What is the lowest common multiple of 12 and 102? 204 Calculate the smallest common multiple of 100 and 60. 300 Calculate the smallest common multiple of 114 and 513. 1026 Calculate the lowest common multiple of 550 and 25. 550 What is the common denominator of -133/30 and 41/330? 330 Calculate the common denominator of -59/5787 and -50/9. 5787 What is the common denominator of -31/108 and -161/240? 2160 Calculate the common denominator of 101/594 and -6/11. 594 What is the least common multiple of 32 and 40? 160 What is the smallest common multiple of 38 and 3? 114 Find the common denominator of -49/835 and -99/8. 6680 Calculate the lowest common multiple of 2344 and 1758. 7032 Calculate the smallest common multiple of 30 and 10. 30 What is the lowest common multiple of 12576 and 18? 37728 What is the common denominator of 37/3 and -22/5? 15 What is the smallest common multiple of 792 and 96? 3168 Calculate the common denominator of -113/1062 and 38/5. 5310 What is the common denominator of 7/9 and 32/57? 171 What is the smallest common multiple of 83 and 6? 498 Calculate the least common multiple of 80 and 120. 240 What is the common denominator of -67/2 and 51/32? 32 Find the common denominator of -46/75 and 14/2241. 56025 What is the common denominator of 19/845 and -11/9? 7605 Calculate the lowest common multiple of 420 and 112. 1680 Find the common denominator of 68/65 and -24/253. 16445 Calculate the common denominator of 111/1672 and -55/228. 5016 What is the common denominator of -121/42 and 29/672? 672 Calculate the lowest common multiple of 752 and 1. 752 What is the least common multiple of 164 and 902? 1804 Find the common denominator of 1/57 and -31/123. 2337 Calculate the common denominator of -26/11 and -69/44. 44 Calculate the common denominator of 44/315 and -41/252. 1260 What is the least common multiple of 27 and 9? 27 Calculate the lowest common multiple of 63 and 7. 63 Find the common denominator of -43/4 and -17/222. 444 What is the least common multiple of 18 and 5679? 11358 What is the smallest common multiple of 1400 and 3360? 16800 Calculate the smallest common multiple of 188 and 42. 3948 Calculate the lowest common multiple of 152 and 984. 18696 Calculate the common denominator of 193/3360 and 11/24. 3360 Calculate the least common multiple of 259 and 296. 2072 Calculate the common denominator of -145/3708 and 17/824. 7416 Calculate the common denominator of 35/2 and 19/61. 122 Calculate the smallest common multiple of 95 and 209. 1045 What is the lowest common multiple of 1035 and 345? 1035 What is the least common multiple of 3 and 24? 24 What is the smallest common multiple of 156 and 15? 780 Find the common denominator of -17/11 and -49/652. 7172 Calculate the smallest common multiple of 27 and 135. 135 What is the smallest common multiple of 68 and 592? 10064 Calculate the lowest common multiple of 24 and 30. 120 What is the common denominator of -38/767 and 24/11? 8437 Calculate the common denominator of -27/175 and 38/245. 1225 Find the common denominator of 46/315 and -54/35. 315 Find
{ "pile_set_name": "DM Mathematics" }
be the first derivative of 3 - b**5 + 0*b**4 + 0*b + 0*b**3 + 5/2*b**2. What is the second derivative of v(p) wrt p? -60*p**2 Let d = -17 + 9. Let w = d + 10. What is the first derivative of 0 + 6 - 3*x - 3 - w wrt x? -3 Let x be (-576)/(-56) - (-4)/(-14). Differentiate -6*l - 18 + x - 1 wrt l. -6 Let w(t) = -4*t. Let p(g) = 3*g. Let o(s) = 3*p(s) + 2*w(s). Let b(x) = -15*x - 3. Let i(v) = b(v) + 18*o(v). What is the derivative of i(m) wrt m? 3 Differentiate 37*s**3 - 12*s**4 + 13 - 1 - 37*s**3 with respect to s. -48*s**3 Find the third derivative of -21*l**3 + 21*l**3 + 58*l**2 - 6*l**6 + 37*l**5 - 36*l**5 wrt l. -720*l**3 + 60*l**2 Let b(t) be the second derivative of 3/20*t**5 + 0*t**2 - t - 1/6*t**4 + 0*t**3 + 0. What is the third derivative of b(k) wrt k? 18 Let r(g) be the third derivative of 1/120*g**6 + 0 - 1/3*g**3 + 2*g**2 + 0*g**5 + 0*g**4 + 0*g. Find the first derivative of r(f) wrt f. 3*f**2 Let m(p) be the second derivative of p**7/21 - 17*p**4/12 + 6*p. What is the third derivative of m(k) wrt k? 120*k**2 What is the derivative of 17 - 6 + 3 - 22*g**3 + 45*g**3 wrt g? 69*g**2 Let v(q) = -33*q**2 - 25. Let y(f) = -164*f**2 - 124. Let h(g) = -16*v(g) + 3*y(g). Differentiate h(b) wrt b. 72*b Find the third derivative of 40*v**5 - 306 + 306 - 22*v**2 wrt v. 2400*v**2 Let g(m) be the third derivative of -17*m**7/105 - 13*m**5/60 - 23*m**2. Find the third derivative of g(u) wrt u. -816*u Let g(d) = -13*d**4 - 5*d**3 + 5*d**2 + 7. Let v(t) = -14*t**4 - 6*t**3 + 6*t**2 + 7. Let c(h) = -6*g(h) + 5*v(h). Differentiate c(o) with respect to o. 32*o**3 Let i(c) be the second derivative of 3*c**5/10 + c**3 + 8*c. Find the second derivative of i(n) wrt n. 36*n Suppose 2*d + 2 = 10. Let q = 10 - d. Find the third derivative of 2*h**2 + h**2 - 3*h**q - 6*h**2 wrt h. -360*h**3 Suppose 27 = 3*g - 3*v, 30 = 4*g + 3*v - v. Suppose a + 3*a = g. Find the second derivative of -15*j**a + 15*j**2 - j**4 + j wrt j. -12*j**2 Let j be 1 + (-19 - -2)/(-1). Let l be (-1)/4 + j/8. What is the first derivative of m**l + 1 - 4 + 5 wrt m? 2*m Suppose 5*a + 13 = 3. Let t = 4 + a. Differentiate 0*c**3 + 4*c**3 + t - 3 - c**3 with respect to c. 9*c**2 Find the third derivative of -w**3 - 10 + 2*w**2 + 10 wrt w. -6 Find the third derivative of 12*c**3 + 10*c**2 + c**2 - 8*c**2 wrt c. 72 Let b(t) be the third derivative of 11*t**7/210 - 3*t**4/8 - 14*t**2. What is the second derivative of b(l) wrt l? 132*l**2 What is the second derivative of 5*n - 4*n - 2*n**3 + 10*n**3 wrt n? 48*n Let o(f) be the first derivative of 3*f**5/5 - 2*f**3/3 - 8. What is the third derivative of o(l) wrt l? 72*l Suppose 0 = -2*g, 0*y + 4*y - 12 = -5*g. Let s be (-4 + 0)*y/(-3). Find the second derivative of 3*d - 4*d + 4*d**s - 7*d**4 wrt d. -36*d**2 Let i(s) = -s + 1. Let k be i(-1). What is the first derivative of m - 1 + 6*m**2 - 10*m**k - m wrt m? -8*m What is the second derivative of -2*g**2 + g**2 + 5*g**2 + 5*g wrt g? 8 Suppose -4*t - 10 = -s, -4*s + 4*t = -t - 40. What is the derivative of -1 + s*g**2 - 3*g**4 - 10*g**2 + 3 wrt g? -12*g**3 What is the third derivative of -2*a**2 + 21*a - 2*a**2 - 21*a + 9*a**6 wrt a? 1080*a**3 Let n(z) = -z**3 - z**2 + z - 1. Let q(l) = -14*l**4 + 2*l**3 + 2*l**2 + 14*l + 2. Let u(g) = 2*n(g) + q(g). What is the second derivative of u(k) wrt k? -168*k**2 What is the third derivative of 662 - 662 + 2*c**2 + c**2 - 7*c**6 wrt c? -840*c**3 Let s(j) = -j + 8. Let b be s(4). Find the second derivative of -5*l**4 + b*l**4 - 2*l**4 + l + l**4 wrt l. -24*l**2 Let u(h) = 19*h + 16. Let s(k) = 9*k + 9. Let p(n) = -7*s(n) + 4*u(n). What is the first derivative of p(t) wrt t? 13 Find the second derivative of -3*f**5 + 3*f - f + 0*f + 2*f**5 wrt f. -20*f**3 Suppose 3*c - 4*c = 20. Let f be (-4)/c + 9/5. Find the third derivative of -3*q**6 + 0*q**2 + 0*q**f + q**2 wrt q. -360*q**3 Suppose 2*j - l = 6, 3*j + 0*l - 15 = 3*l. Suppose -j - 7 = -4*o. What is the third derivative of -3*d**2 + o*d**3 + d**5 - 2*d**3 - 3*d**5 wrt d? -120*d**2 Let x be 29/5 - (-11)/55. Let g(o) be the first derivative of 1/6*o**x + 3 + o**3 + 0*o + 0*o**2 + 0*o**5 + 0*o**4. Find the third derivative of g(l) wrt l. 60*l**2 Let p = -2 + 2. Suppose p = n + 3*n - 8. Find the second derivative of -2*g**5 - n*g + g + 0*g wrt g. -40*g**3 Let p(g) be the first derivative of 23*g**6/6 + 15*g**2 + 11. What is the second derivative of p(r) wrt r? 460*r**3 Suppose 2*r + 3 = -1. Let x be 2 + 2/(4 + r). What is the first derivative of o**3 - 1 + 0*o**x + 3 wrt o? 3*o**2 Let t(q) = -23*q**2 - q - 1. Let y(r) = 23*r**2 + r + 1. Let c(g) = -2*t(g) - 3*y(g). What is the second derivative of c(z) wrt z? -46 Let a = -3 + 6. What is the third derivative of -o - 3*o**3 + o + 0*o**a - 2*o**2 wrt o? -18 Differentiate -1 - 215*i + 214*i + 39 with respect to i. -1 Let o = -25/3 - -9. Let t(p) be the first derivative of -1/4*p**4 + 0*p - o*p**3 + 0*p**2 + 2. Find the third derivative of t(f) wrt f. -6 Let a(h) = -h**3 - h**2 - 1. Suppose -4*u + 3*u - 5 = 0. Let k(f) = -2*f**4 - 5*f**3 - 5*f**2 - 2. Let d(b) = u*a(b) + k(b). Differentiate d(l) wrt l. -8*l**3 Let f(v) be the second derivative of -6*v**3 + 18*v**2 + 3*v. Let o(j) = -5*j + 5. Let d(w) = -2*f(w) + 15*o(w). Find the first derivative of d(g) wrt g. -3 Suppose 0 = 2*z + 1 - 7. What is the second derivative of -z*w + 0 - 2*w**2 + 0 + 0*w wrt w? -4 Let t(q) = 21*q**4 - 5*q**2 + 17*q. Let i(l) = -11*l**4 + 2*l**2 - 9*l. Let x(u) = 5*i(u) + 2*t(u). What is the second derivative of x(j) wrt j? -156*j**2 Let p(w) be the first derivative of -2*w**3/3 - 11*w**2/2 - 9. What is the second derivative of p(h) wrt h? -4 Let d = 22 + -16. Suppose 0 = -0*f - 3*f + d. What is the third derivative of 0*x**2 + 3*x**5 - 2*x**2 - f*x**5 + 0*x**2 wrt x? 60*x**2 Let f(b) be the third derivative of 55*b**8/336 - b**4/24 - 14*b**3/3 + 9*b**2. What is the second derivative of f(m) wrt m? 1100*m**3 Suppose -5*k + q + 55 = 0, 5*k + 3*q = -0*q + 35. Let d be 35/k + (-2)/4. Find the second derivative of 0*v + d*v**2 - v**2 - 2*v wrt v. 4 Let d(l) = l**3 + 8*l**2 + 6*l - 6. Let t be d(-7). Let o = 3 - 1. Differentiate a - o*a + t - a wrt a. -2 Let i(t) be the second derivative of -t**5/15 - t**3/3 - 3*t**2/2 - t. Let j(r) be the first derivative of i(r). Differentiate j(c) wrt c. -8*c Suppose -3*i = -0*i - 6. What is the second derivative of -i*o + 1 - 4 + 3 + 3*o**4 wrt o? 36*o**2 Let l(g) = -105*g**3 - 17*g**2 + 37*g. Let j(i) = -35*i**3 - 6*i**2 + 12*i. Let k(z) = -17*j(z) + 6*l(z). What is the second derivative of k(t) wrt t? -210*t Let f(c) = -c**2 - 1. Let y(b) = -7*b**4 + b**2 + 18. Let k(o) = f(o) + y(o). What is the first derivative of k(g) wrt g? -28*g**3 Let c(n) = n. Let h be c(-3). Let r(s) = -17*s**2 + 8*s - 5. Let z(p) = 6*p**2 - 3*p + 2. Let b(f) = h*r(f) - 8*z(f). Differentiate b(j) wrt j. 6*j Let j(h) be the first derivative of 7/3*h**3 + 0*h + 4*h**2 + 6. Find the second derivative of j(o) wrt o. 14 Let q(a) = 6*a**2 - 2*a + 5. Let j(n) = -29*n**2 + 11*n - 24. Let y(s) = -2*j(s) - 11*q(s). Differentiate y(t) with respect to t. -16*t Let i(u) be the first derivative of 3/2*u**2 + 9/5*u**5 + 0*u**3 + 0*u + 0*u**4 + 6. What is the second derivative of i(a) wrt a? 108*a**2 What is the third derivative of 4*l**2 - 4*l**3 + 11*l**3 + 5*l**2 - 3*l**3 wrt l? 24 Let r(c) = -1 + 2 + 4*c - 2. Let f(s) = 2*s + 0*s + s. Let u(v) = -3*f(v) + 2*r(v). What is the derivative of u(l) wrt l? -1 Let u(h) be the second derivative of -13*h**3/6 - 21*h**2/2 - 40*h. What is the first derivative of u(m) wrt m? -13 Let f(d) be the first derivative of -8*d**5/5 + 7*d + 6. Differentiate f(t) wrt t. -32*t**3 Let i(g) = 4*g**5 + g**3 - 16*g + 1. Let q(x) = x**3 - x + 1. Let o(u) = i(u) - q(u). What is the second derivative of o(h) wrt h? 80*h**3 Let w(q) = 10*q**3 + 12*q**2 - 6*q. Let k(t) = -t**3 - t**2 + t. Let p(o) = -12*k(o) - 2*w(o). What is the third derivative of p(z) wrt z? -48 Let m(u) be the third derivative of -11*u**6/120 - u**4/12 + 10*u**2. Find the second derivative of m(i) wrt i. -66*i What is the first derivative of -137*j**3 + 65*j**3 + 49*j**3 - 27 wrt j? -69*j**2 What is the third derivative of -8*d**4 + 3*d**2 + 11*d**2 - 2*d**2 wrt d? -192*d What is the third derivati
{ "pile_set_name": "DM Mathematics" }
3 What is the highest common divisor of 2 and 9? 1 Calculate the highest common divisor of 35 and 287. 7 What is the greatest common factor of 81 and 18? 9 What is the highest common divisor of 170 and 21590? 170 What is the highest common divisor of 1044 and 725? 29 What is the highest common factor of 90 and 190? 10 Calculate the greatest common factor of 5 and 235. 5 What is the highest common factor of 855 and 4959? 171 Calculate the greatest common divisor of 667 and 203. 29 Calculate the highest common divisor of 40 and 220. 20 What is the highest common factor of 20 and 1180? 20 What is the greatest common factor of 16 and 76? 4 What is the greatest common factor of 3550 and 25? 25 Calculate the highest common divisor of 10192 and 208. 208 Calculate the greatest common divisor of 60941 and 149. 149 What is the highest common factor of 91 and 21? 7 Calculate the greatest common divisor of 34 and 11662. 34 Calculate the highest common factor of 168 and 91. 7 What is the highest common divisor of 32 and 2848? 32 Calculate the highest common factor of 2345 and 105. 35 Calculate the highest common divisor of 10 and 160. 10 What is the greatest common factor of 49 and 27? 1 What is the highest common factor of 12 and 58? 2 What is the greatest common factor of 3 and 183? 3 Calculate the greatest common factor of 1 and 103. 1 Calculate the greatest common factor of 2176 and 17. 17 Calculate the greatest common divisor of 164 and 324. 4 What is the greatest common divisor of 164 and 287? 41 Calculate the greatest common divisor of 6 and 1458. 6 What is the highest common factor of 146 and 2701? 73 What is the highest common divisor of 2247 and 231? 21 What is the greatest common factor of 48 and 300? 12 Calculate the greatest common divisor of 1417 and 1853. 109 Calculate the highest common divisor of 2015 and 585. 65 Calculate the greatest common divisor of 2754 and 5832. 162 Calculate the highest common divisor of 26 and 910. 26 What is the highest common factor of 481 and 1147? 37 What is the greatest common factor of 833 and 441? 49 Calculate the highest common divisor of 585 and 18. 9 Calculate the highest common factor of 29 and 29. 29 What is the highest common factor of 63 and 1953? 63 Calculate the highest common factor of 10 and 614. 2 Calculate the greatest common factor of 1081 and 141. 47 What is the greatest common factor of 24 and 372? 12 Calculate the greatest common divisor of 23 and 7153. 23 What is the greatest common factor of 736 and 6348? 92 Calculate the greatest common factor of 50 and 4525. 25 What is the highest common divisor of 1258 and 34? 34 Calculate the highest common divisor of 13511 and 59. 59 Calculate the greatest common factor of 70 and 40. 10 Calculate the highest common divisor of 1 and 1627. 1 Calculate the highest common factor of 100 and 780. 20 What is the highest common factor of 803 and 869? 11 What is the highest common divisor of 462 and 198? 66 Calculate the highest common factor of 18 and 639. 9 What is the greatest common factor of 2001 and 116? 29 What is the greatest common factor of 34 and 323? 17 What is the highest common divisor of 120 and 5320? 40 Calculate the highest common divisor of 10 and 290. 10 What is the greatest common factor of 147 and 7693? 49 Calculate the greatest common divisor of 322 and 56. 14 What is the greatest common divisor of 40 and 710? 10 Calculate the greatest common divisor of 19470 and 45. 15 What is the highest common factor of 3 and 42? 3 Calculate the highest common divisor of 3372 and 12. 12 What is the greatest common factor of 55 and 35? 5 Calculate the greatest common divisor of 25272 and 104. 104 Calculate the highest common factor of 1380 and 10. 10 Calculate the greatest common factor of 236 and 6372. 236 Calculate the highest common divisor of 480 and 105. 15 Calculate the highest common divisor of 210 and 4970. 70 Calculate the greatest common divisor of 105 and 1785. 105 Calculate the highest common factor of 12 and 80. 4 Calculate the greatest common factor of 2538 and 198. 18 What is the greatest common factor of 21 and 4431? 21 What is the highest common factor of 912 and 2850? 114 Calculate the greatest common factor of 168 and 48. 24 Calculate the greatest common divisor of 1112 and 8. 8 What is the highest common factor of 56 and 176? 8 What is the greatest common divisor of 144 and 270? 18 What is the highest common divisor of 38150 and 150? 50 What is the greatest common divisor of 153 and 1326? 51 What is the greatest common factor of 240 and 45? 15 What is the greatest common factor of 27 and 189? 27 Calculate the greatest common divisor of 60 and 160. 20 Calculate the greatest common divisor of 97 and 194. 97 What is the greatest common divisor of 8 and 1228? 4 Calculate the highest common divisor of 84 and 357. 21 What is the greatest common divisor of 38 and 551? 19 Calculate the highest common divisor of 899 and 58. 29 What is the greatest common factor of 22 and 22? 22 Calculate the greatest common divisor of 40 and 1195. 5 Calculate the greatest common divisor of 2796 and 12. 12 Calculate the greatest common divisor of 140 and 6. 2 Calculate the greatest common divisor of 26 and 2158. 26 Calculate the highest common factor of 4086 and 18. 18 Calculate the highest common divisor of 414 and 6. 6 Calculate the highest common divisor of 22 and 17259. 11 Calculate the highest common factor of 54 and 24. 6 What is the highest common factor of 546 and 234? 78 What is the greatest common divisor of 4814 and 145? 29 What is the highest common divisor of 15 and 129? 3 Calculate the greatest common divisor of 918 and 216. 54 What is the greatest common factor of 560 and 10? 10 Calculate the highest common factor of 6292 and 156. 52 Calculate the highest common divisor of 3192 and 336. 168 What is the greatest common divisor of 188 and 32? 4 Calculate the greatest common factor of 749 and 107. 107 What is the greatest common factor of 996 and 6225? 249 Calculate the greatest common divisor of 49 and 63. 7 Calculate the highest common factor of 110 and 2530. 110 What is the greatest common divisor of 33 and 165? 33 What is the highest common divisor of 2505 and 15? 15 Calculate the greatest common divisor of 4125 and 5. 5 Calculate the highest common factor of 472 and 1121. 59 What is the greatest common factor of 338 and 78? 26 What is the greatest common divisor of 760 and 15770? 190 Calculate the greatest common divisor of 43289 and 73. 73 What is the highest common factor of 17694 and 18? 18 Calculate the greatest common divisor of 266 and 38. 38 Calculate the greatest common divisor of 651 and 609. 21 Calculate the highest common factor of 97 and 1843. 97 Calculate the highest common divisor of 93 and 41757. 93 What is the highest common factor of 70 and 80? 10 What is the highest common divisor of 3139 and 43? 43 What is the highest common factor of 12 and 426? 6 What is the greatest common factor of 90 and 5295? 15 Calculate the highest common divisor of 8 and 9684. 4 What is the highest common divisor of 49 and 47? 1 What is the highest common divisor of 300 and 120? 60 What is the greatest common divisor of 158 and 17? 1 What is the highest common factor of 128 and 448? 64 What is the highest common factor of 143 and 187? 11 What is the greatest common factor of 42 and 154? 14 What is the highest common divisor of 16 and 25712? 16 What is the greatest common factor of 408 and 527? 17 What is the highest common factor of 66 and 150? 6 What is the highest common factor of 9 and 24? 3 Calculate the highest common divisor of 2454 and 6. 6 Calculate the highest common factor of 2168 and 8. 8 Calculate the greatest common factor of 308 and 11312. 28 Calculate the highest common factor of 30 and 690. 30 What is the greatest common divisor of 210 and 350? 70 What is the greatest common factor of 533 and 26? 13 What is the greatest common factor of 76 and 12? 4 What is the highest common divisor of 423 and 63? 9 Calculate the greatest common divisor of 357 and 1904. 119 What is the highest common divisor of 28 and 504? 28 Calculate the highest common factor of 63 and 4053. 21 Calculate the highest common divisor of 82 and 1517. 41 What is t
{ "pile_set_name": "DM Mathematics" }
without replacement from {i: 1, a: 7, l: 7, q: 1}. What is prob of sequence aaq? 1/80 Four letters picked without replacement from qwiwwiwlikllllwklkl. What is prob of sequence kwil? 35/10336 What is prob of sequence iij when three letters picked without replacement from tttjtttttiitijttjt? 1/272 Four letters picked without replacement from qvvccvvqcv. Give prob of sequence cvvq. 1/42 Two letters picked without replacement from {z: 4, i: 2, w: 2, h: 2}. Give prob of sequence zi. 4/45 Two letters picked without replacement from {x: 1, z: 1, e: 1, k: 1, i: 1}. What is prob of sequence kx? 1/20 Four letters picked without replacement from {h: 1, w: 7}. Give prob of sequence hwww. 1/8 Four letters picked without replacement from {n: 1, d: 2, x: 1, t: 1, r: 4, p: 3}. Give prob of sequence rxnd. 1/1485 What is prob of sequence ws when two letters picked without replacement from ssywswysssws? 7/44 Four letters picked without replacement from hjbujjbjjjjujjujjujh. What is prob of sequence bubj? 4/4845 Four letters picked without replacement from lgnnggggnlgngggn. What is prob of sequence lggn? 3/182 What is prob of sequence rrf when three letters picked without replacement from rguflrgrlffllrrl? 1/56 Two letters picked without replacement from msmsmmmssm. What is prob of sequence ms? 4/15 What is prob of sequence gygg when four letters picked without replacement from gyggggyygggggggg? 33/280 Three letters picked without replacement from {n: 18, m: 1}. Give prob of sequence nmn. 1/19 Four letters picked without replacement from {n: 1, f: 12}. What is prob of sequence nfff? 1/13 Two letters picked without replacement from skkfrrkgggy. What is prob of sequence kf? 3/110 What is prob of sequence tz when two letters picked without replacement from utjzuzzttuu? 9/110 What is prob of sequence oy when two letters picked without replacement from {f: 1, r: 3, n: 2, v: 4, o: 1, y: 1}? 1/132 What is prob of sequence fee when three letters picked without replacement from {e: 2, c: 2, f: 2}? 1/30 Two letters picked without replacement from {d: 1, t: 4, u: 4, z: 2}. What is prob of sequence tu? 8/55 Calculate prob of sequence vv when two letters picked without replacement from mmammmavmvmv. 1/22 Two letters picked without replacement from ummmmmmm. What is prob of sequence mm? 3/4 Calculate prob of sequence amh when three letters picked without replacement from hmahhaaaahhaha. 1/52 What is prob of sequence ryoo when four letters picked without replacement from aoaoyooaryyoo? 3/572 Calculate prob of sequence mm when two letters picked without replacement from ssmsssssm. 1/36 Four letters picked without replacement from {w: 1, m: 5, k: 5, z: 1, o: 4}. Give prob of sequence kmmm. 5/728 Two letters picked without replacement from wtotttwttotttt. Give prob of sequence tw. 10/91 Calculate prob of sequence vv when two letters picked without replacement from vvrvr. 3/10 Four letters picked without replacement from {d: 5, x: 4, r: 2}. What is prob of sequence dxrd? 2/99 Four letters picked without replacement from bgbbggkg. Give prob of sequence bggg. 3/70 Two letters picked without replacement from pmhaqhua. Give prob of sequence uh. 1/28 Two letters picked without replacement from hwahllkqkhlwlhl. What is prob of sequence wh? 4/105 What is prob of sequence ivf when three letters picked without replacement from {v: 1, f: 2, h: 1, i: 1, c: 2, y: 1}? 1/168 Two letters picked without replacement from iiiiidiidiiqiiid. What is prob of sequence di? 3/20 What is prob of sequence oees when four letters picked without replacement from {o: 2, q: 2, e: 2, k: 4, s: 1, j: 4}? 1/8190 Calculate prob of sequence kf when two letters picked without replacement from {k: 1, q: 2, e: 3, f: 3, r: 1}. 1/30 What is prob of sequence yy when two letters picked without replacement from mepjjnnmnjyj? 0 What is prob of sequence ra when two letters picked without replacement from brqacjr? 1/21 Calculate prob of sequence qs when two letters picked without replacement from {v: 1, q: 1, s: 1, g: 1, w: 2, h: 1}. 1/42 Calculate prob of sequence tq when two letters picked without replacement from {t: 3, x: 9, q: 7}. 7/114 Three letters picked without replacement from iicicc. Give prob of sequence ici. 3/20 Two letters picked without replacement from vvvv. Give prob of sequence vv. 1 What is prob of sequence yyyu when four letters picked without replacement from uyyuuyuyyy? 2/21 Four letters picked without replacement from zhzhzzzhzh. Give prob of sequence zzzz. 1/14 What is prob of sequence rcir when four letters picked without replacement from {i: 1, c: 1, r: 2}? 1/12 Calculate prob of sequence sz when two letters picked without replacement from jwjszjszjswszsz. 2/21 Two letters picked without replacement from {c: 1, w: 2, x: 1, i: 1, h: 2, q: 1}. What is prob of sequence cx? 1/56 Three letters picked without replacement from {x: 10, n: 4, k: 1, h: 2}. What is prob of sequence nxx? 3/34 Two letters picked without replacement from {n: 2, t: 3, k: 4, l: 3, f: 4}. Give prob of sequence ff. 1/20 Calculate prob of sequence pp when two letters picked without replacement from mmktqqqftpkkqmpf. 1/120 What is prob of sequence tiit when four letters picked without replacement from iiltlillilllitlzlltl? 1/969 Three letters picked without replacement from {n: 1, i: 1, v: 5, d: 1, c: 1}. Give prob of sequence cdv. 5/504 What is prob of sequence iv when two letters picked without replacement from iiv? 1/3 Four letters picked without replacement from tztzttttttftft. Give prob of sequence fttt. 60/1001 Calculate prob of sequence vvpi when four letters picked without replacement from vvcvtvvtvvpvcicvi. 3/1190 Four letters picked without replacement from mxmxxmxmii. What is prob of sequence xixi? 1/210 Calculate prob of sequence zfv when three letters picked without replacement from fddwzfvzdeev. 1/165 What is prob of sequence loi when three letters picked without replacement from bolblclblicllcj? 1/455 What is prob of sequence egm when three letters picked without replacement from {e: 2, m: 6, g: 2, a: 3, b: 5}? 1/204 Four letters picked without replacement from {m: 2, h: 2, v: 4, z: 1}. Give prob of sequence vvhh. 1/126 Two letters picked without replacement from {x: 8, d: 1, e: 4}. Give prob of sequence dx. 2/39 Two letters picked without replacement from awwawaaawfwaaw. What is prob of sequence aa? 3/13 What is prob of sequence ip when two letters picked without replacement from xbipiibipii? 6/55 Two letters picked without replacement from iinniiii. What is prob of sequence ii? 15/28 Calculate prob of sequence ltl when three letters picked without replacement from {t: 1, l: 2, r: 1, i: 4}. 1/168 Three letters picked without replacement from {r: 1, f: 1, n: 2, o: 1}. Give prob of sequence frn. 1/30 Two letters picked without replacement from lllp. Give prob of sequence pp. 0 Two letters picked without replacement from zjruuzjrrrruryjjnr. Give prob of sequence nr. 7/306 What is prob of sequence fh when two letters picked without replacement from {h: 2, f: 3, j: 6, p: 2}? 1/26 Two letters picked without replacement from {l: 2, z: 3}. Give prob of sequence lz. 3/10 Two letters picked without replacement from qxtmqxqxmdxx. Give prob of sequence mq. 1/22 Calculate prob of sequence zaa when three letters picked without replacement from zaazaaaazaaaaa. 55/364 Three letters picked without replacement from {s: 2, k: 1}. What is prob of sequence kss? 1/3 What is prob of sequence ib when two letters picked without replacement from {b: 1, i: 1, c: 1}? 1/6 Three letters picked without replacement from rrryrrwrryywwryyy. Give prob of sequence rrw. 7/170 Two letters picked without replacement from cvvv. Give prob of sequence cv. 1/4 Calculate prob of sequence mg when two letters picked without replacement from {m: 2, x: 10, g: 3}. 1/35 Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwrwwww. 5/6 What is prob of sequence exe when three letters picked without replacement from ekx? 0 What is prob of sequence ntt when three letters picked without replacement from nssnstsnsttnntn? 12/455 What is prob of sequence xw when two letters picked without replacement from jjswjxwgwvvs? 1/44 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
2*r**2)*(4*r - r + 0*r). 13*r**3 Expand (4*s**2 + 4*s**2 - 2*s**2)*((0 + 0 + 2)*(-s - s + s) - 6*s + 3*s + s + 3 + s - 3). -18*s**3 Expand (4 - 4 + 1)*(0 - 3 + 2)*(0*g + 5*g - 4*g)*(-g**4 + 4*g**2 - 4*g**2). g**5 Expand (2*n**3 + 4*n - 4*n)*(36*n + 2*n**2 - 2 - 38*n + 1)*(-5 + 3 + 3). 4*n**5 - 4*n**4 - 2*n**3 Expand 168 - 168 - 15*p**4 + (0*p**2 - p**2 + 2*p**2)*(3*p**2 + 3*p**2 - 5*p**2). -14*p**4 Expand (0*c + 0*c + 2*c)*(-6 - 3 + 44)*(-3 + 0 + 1). -140*c Expand 2 - 2 - 2*u**2 + (-2*u + 2*u + 2*u**2)*(2 - 3 + 2) - 117 + u**2 + 117. u**2 Expand (0*f**2 + f**2 + f**2)*(-14*f - 6*f - 12*f). -64*f**3 Expand j**3 + 3*j**5 + 81*j**4 - 81*j**4 + (0*j**3 + 0*j**3 - 5*j**3)*(0 - 2*j**2 + 0). 13*j**5 + j**3 Expand (0*m**2 + m**2 - 2*m**2)*(-31*m**2 - 68 + 68). 31*m**4 Expand -2*u + 8*u - 3*u + (2 - 2 + 2*u)*(-3 + 6 - 4) - 2*u - 2*u + u + 0 - 2*u + 0. -4*u Expand (8*r**3 - 2*r**3 + 0*r**3)*(2*r + 2 - 2) + (-r + r - r**4)*(-2 + 3 + 0). 11*r**4 Expand (-2 + 4*h + 2)*(-h + 2*h - 2*h)*(-h**2 + 4*h - 4*h). 4*h**4 Expand (-3*c**3 + c**3 + 3*c**3 + (23 - 10 + 17)*(3*c**3 - c**3 + 0*c**3))*(5*c**2 + 0*c**2 - 3*c**2). 122*c**5 Expand (0*s**2 + 0*s**2 - s**2)*((-1 - 3 + 5)*(1 - 5 + 2) + 4 + 2 + 1). -5*s**2 Expand 17*d**3 + 1 - 13*d**3 - 3 + 4*d**2 - 4*d**2 + d**3 + (-d**2 + 0*d**2 + 2*d**2)*(-d - 2*d + 4*d). 6*d**3 - 2 Expand (2*q**2 + 2*q**2 - 1 - 7*q**2)*(-2*q**2 - q**3 + 2*q**2). 3*q**5 + q**3 Expand (p**2 - 3*p**2 + 4*p**2)*(-2 + 1 - 1) - 3*p**2 + p**2 + p**2 + 0 + 0 - 9*p**2. -14*p**2 Expand (-9 + 6 - 18)*(-4 + 4 - 1)*(-4 + 4 - y). -21*y Expand (0*g + g + g)*(-50 - 33 + 29). -108*g Expand (-2*j + 5*j - j)*(2*j - j - 16*j)*(-2 + 2 + 2). -60*j**2 Expand (-o + 4 - 4)*(0*o + 3*o - 4*o) + 0*o**2 - 2*o**2 + 3*o**2 + (-3 - 1 + 5)*(-4*o**2 + o**2 + 7*o**2). 6*o**2 Expand (-2*k + 5*k - 4*k)*(-2*k**2 + k**2 - k**2 + (-2*k + 0*k + 3*k)*(0 + 0 - k)). 3*k**3 Expand (2*g**5 - 2*g**5 + 4*g**5 - g**5 + g**5 - g**5 + (0*g**2 + 0*g**2 + g**5)*(3 + 2 - 3) + 3*g**5 - 4*g**3 + 4*g**3)*(-2 + 6 - 2). 16*g**5 Expand (-2 - 4 + 3)*(-5*r**2 + 4*r**2 - 3*r**2)*(3*r**3 - 2*r**3 + r**3). 24*r**5 Expand (-2*q**4 + 2*q**2 - 2*q**2)*(9 + 6 - 33)*(-3 + 4*q - 2*q + 5). 72*q**5 + 72*q**4 Expand (-2*x + 0 + 0)*(-2*x**4 - 3*x**2 + 3*x**2) + 2*x**2 - 2*x**2 + 2*x**5 + 74*x**2 - 2*x**4 - 74*x**2 - x**5. 5*x**5 - 2*x**4 Expand (0 - 1 + 9)*(-5 + 20*j - 17*j + 4). 24*j - 8 Expand (3*o + 4*o - 3*o)*((o + 0*o - 2*o)*(o**2 + o**2 - 3*o**2) - 2*o**3 - 2*o + 2*o - 4*o**3 + 0 + 0 - 2*o**3 - o + o). -28*o**4 Expand (-3 - t**2 + 3)*(0 + 2*t + 0) - t + t - t**3 - 5 - 6*t**3 + 5*t**3 + 0. -4*t**3 - 5 Expand (2*a + 3 - 3)*(13*a**2 + 141*a**3 + 15*a**2 - 142*a**3). -2*a**4 + 56*a**3 Expand (r + 4*r - 2*r)*(-5 + 3 + 4)*(-4 + 2 + 1)*(1 + 0 - 3). 12*r Expand 3*t**3 - t**3 - 4*t**3 + (t - 3*t - t)*(-t - 3*t + 0*t)*(-2 + 2 - t). -14*t**3 Expand (-i + 0*i - i)*(-6*i**3 + 2*i**3 + 5*i**3) - 3*i**4 + 4*i**4 - 2*i**4 + 0*i**4 - 2*i**4 + 0*i**4 - 6*i**3 - 5*i**4 + 6*i**3 + i**4 - 2*i**4 - i**4. -12*i**4 Expand -724 + 724 + 36*x**2 - x**2 - 3*x + 3*x + 3*x**2 - 4*x**2 + 2*x**2 + (-2*x**2 - x + x)*(-4 + 1 + 2). 38*x**2 Expand 12*c**2 - 2*c**5 - 12*c**2 + c**5 + 0*c**5 - 2*c**5 + (-c + 0 + 0)*(-1 + 2*c**4 + 1). -5*c**5 Expand 3*g**5 - 5*g**5 + 6*g**5 + (g + 2*g**3 - g)*(-5*g**2 + 3*g**2 + 3*g**2) - g**5 - 3*g**2 + 3*g**2 + (-g**5 + 5*g**5 - 3*g**5)*(-1 - 1 + 0). 3*g**5 Expand (3 - 7 + 3)*(-4 + 4 - 2*g). 2*g Expand (-3*m**5 + m**5 + 0*m**5)*(0 + 2 + 0)*(14 - 3 + 1). -48*m**5 Expand (0*m + 3*m + m)*(-3 + 3 - 2*m) + (-3 - 1 + 3)*(-m - 1 + 1)*(18 - 18 + 3*m) - m**2 + 3*m**2 - m**2. -4*m**2 Expand -3 - 9*o + 4*o + 6*o - o**2 + (4*o - 3*o + o)*(-4*o + 2*o + o). -3*o**2 + o - 3 Expand (-2*z + 2*z + z**2)*(2 - 1 + 1 + (3 - 1 + 0)*(-1 - 3 + 3) + 0 - 2 + 0)*(-4*z + 2*z - z). 6*z**3 Expand (i - 5*i + 2*i)*(9*i + 3*i - 4*i)*(1 - 5 + 3). 16*i**2 Expand (2 - 3 + 4)*(4*n - 5*n + 2*n) + 0*n + 2*n + 0*n + (n - 1 + 1)*(-3 - 2 + 4)*(-4 + 3 + 0). 6*n Expand (19 - 1 - 2*u**3 - 5)*(4*u**2 - 7*u**2 + 2*u**2). 2*u**5 - 13*u**2 Expand (-4*a + 2*a + a)*(5 + 15 - 1). -19*a Expand (3 - 6 + 2)*(r + r + 0*r)*(-r + 2*r**3 + r). -4*r**4 Expand (0*v + 0*v - v**3)*(-4*v + 4*v - 12*v**2). 12*v**5 Expand (0*n**3 - 4*n**3 + 3*n**3)*(-2*n + 2*n + 2*n**2) - 2*n**5 - n**3 + n**3 + 2*n**5 + 3*n**5 - 3*n**5 + 6*n**5 + 15*n**5 - 6 + n**4 + 7. 19*n**5 + n**4 + 1 Expand (-6 + 1 + 3 + 3*l**3)*(2*l + l**2 - 2*l). 3*l**5 - 2*l**2 Expand (135*n - 6*n**2 + 17*n**2 - 136*n)*(-2*n**2 - 2*n**2 + 2*n**2). -22*n**4 + 2*n**3 Expand 2*s**3 + 3*s**3 - 6*s**3 + 0*s**3 + 0*s**3 - 2*s**3 + (s + 4*s - 3*s)*(2*s**2 - 2*s**2 - s**2) + 3*s**3 + 3*s**3 - 4*s**3 + 10*s**2 - 10*s**2 - 3*s**3. -6*s**3 Expand (q**2 + 5*q**2 - 4*q**2)*(-3*q + 4*q - 2*q) - 2*q**3 + 3 - 3 + 0 + 0 - q**3. -5*q**3 Expand -4*o**4 + 6*o**4 - o**4 + (-o**3 + o**3 + 2*o**3)*(-2*o + 2*o + 2*o) + o**2 - o**2 + o**4 + (0 + 0 + 2*o)*(-o**3 + 2 - 2) - 3*o**4 - o + o. o**4 Expand (-4 + 1 + 5)*(0*v**4 - v**4 + 0*v**4) + (0*v**3 + v**3 + 0*v**3)*(0*v - v - v) + 3*v**4 - 3*v**4 - v**4 + 2*v + 2*v**4 - 2*v - 3*v**4 - 4*v**2 + 4*v**2. -6*v**4 Expand (1 - 1 + j)*(2 + j**2 - 2) + j**3 - 2*j**3 + 0*j**3 + (-2*j**2 + 2*j - 2*j)*(3 - j - 3). 2*j**3 Expand (l + 4*l - 2*l)*(4 - 4 + 2)*(-20 + 12 - 26). -204*l Expand (4*i - 4*i + 3*i)*(-3 + i**2 + 3 + (2 + i - 2)*(-2 + i + 2) + 0 + 0 + 2*i**2 + 5*i**2 - 1 + 1). 27*i**3 Expand (-n**5 + 0*n**2 + 0*n**2)*(0 + 3 - 1) + (2 - 4 - 4)*(4 - 4 - 2*n**5). 10*n**5 Expand (-u + 3*u - u)*(1 - 8 - 9) - 2*u + u + 0*u. -17*u Expand (0*j - 2*j - 2*j)*(19*j + 1 + 1 - 13*j). -24*j**2 - 8*j Expand (-6*s**2 + 2*s**3 + 5*s**2 + 3*s**4 - 5*s**4)*(-13 + 13 - 2*s). 4*s**5 - 4*s**4 + 2*s**3 Expand ((2*j - 2*j + j)*(-6 + 4 + 0) - 4*j - 2*j + 5*j)*(-2 - 2 + 3). 3*j Expand 5*s**3 - 4*s**2 + 4*s**2 + (-s + 2*s**2 + s)*(-s - s + 4*s) + (2*s**3 - 3 + 3)*(-2 + 3 + 0) - 5 + 5 - 3*s**3. 8*s**3 Expand (0 + 2*i + 0)*(1 - 2 - 1) + 4*i - 2*i - 3*i + (-3 + 3 + 1)*(-2*i + 5*i - i). -3*i Expand (8 + 6*w**2 - 8)*(-1 + 1 + w**2 + (-w + 0*w + 3*w)*(-4*w + 0*w + 5*w) + 141 - 20*w**2 - 141 - w**2 + 0*w**2 + 3*w**2). -90*w**4 Expand (-10 + 3 - r + 2)*(-4*r - r**4 + 4*r). r**5 + 5*r**4 Expand (-2 + 2 + t**2)*(4 + 5 - 15)*(4*t - t + 0*t). -18*t**3 Expand (0*c**2 - c**2 + 2*c**2)*(-1 + 1 - 2*c) + (-1 + 1 - 2)*(3*c**3 + c**3 - 3*c**3). -4*c**3 Expand (0 - m - 7 + 9)*(-4*m**2 + 2*m - 2*m) + 2*m + 3*m**3 - 2*m**2 - 2*m. 7*m**3 - 10*m**2 Expand (0 - 4 + 2)*(-10*y**3 + 12*y**3 + 8*y**3) - 17 - y**3 + 17. -21*y**3 Expand (-4 + 4 - 4*z**4)*(-6*z + 5*z - 6*z). 28*z**5 Expand -9 + 1 - 7*m**2 + 7 + (m**2 + 4*m**2 - 3*m**2)*(-2 - 2 + 3) - 2*m**2 + 2*m - 2*m - m**2 + m**2 - 2*m**2. -13*m**2 - 1 Expand a**4 + 6*a**4 - 3*a**4 + 2*a**2 + a**2 + 3*a**4 - 2*a**4 + (3*a**2 - 3*a**2 - 2*a**2)*(a**2 + 3*a**2 - 5*a**2) - a**2 + a**2 - a**4. 6*a**4 + 3*a**2 Expand (2 + 3 - 2)*(-4*c**3 - 1 + 1). -12*c**3 Expand (-1 + 2 + 0)*(1 + 2*p - 1) - p - p - 3*p. -3*p Expand (-14*d + 3*d + 6*d + 2)*(0*d + d + d) - d**2 + 0*d**2 + 3*d**2. -8*d**2 + 4*d Expand (-2 + 1 + 3)*(-18*x**3 - 9*x**3 - 18*x**3). -90*x**3 Expand -3*i**4 + 4*i**4 + 0*i**4 + (1 - 1 - i**3)*(-3*i - i + 6*i) - 2*i**4 - i**2 + i**2 + i**4 - 2*i**4 - 3*i**4 - 2*i**4 - i**4 - i**4. -11*i**4 Expand 4*y**4 - 5*y**4 + 17*y**4 + (2 - y - 2)*(2*y**3 - 2*y**3 - y**3) - 3*y**2 + 2*y**4 + 3*y**2. 19*y**4 Expand s**4 + 2*s**4 + 0*s**4 + (s - 5*s + s)*(2*s**3 + 2*s**3 - 6*s**3) + s**4 + 3*s**4 - s**4. 12*s**4 Expand (-11 + 1 - 3)*(-2*a**3 + a**3 - a**3). 26*a**3 Expand (0 + 5 - 2)*(2*b**2 + 5 - 5)*(5*b**2 - 5*b**2 - 2*b**3). -12*b**5 Expand (0*s**2 + 2*s**2 - s**2 + (-4*s + 2*s + 0*s)*(-2*s + s - s))*(3*s - 2*s + 17*s)*(2*s - 3*s + 2*s). 90*s**4 Expand (k - 2 + 2)*(5 - k**4 - 5) + 2*k**5 + 0*k + 0*k - 2*k**5 - k**5 + 4*k**5 - k**5 + 2*k**5 + 0*k**5 - k**5 + 0*k**5 + 2*k**5. 4*k**5 Expand (6 - 4 - 9)*(1 - 1 - 2*a). 14*a Expand (-42*y**4 - 4*y + 3*y**5 + 42*y**4)*(0 + 1 - 3). -6*y**5 + 8*y Expand (-11*m - 3*m + 4*m)*(0 - 1 - 1). 20*m Expand 6*a**3 - 12*a - a**4 + 12*a + 4*a**4 + 4*a**4 - 6*a**4 + (-4*a + 0*a + 6*a)*(0*a**2 + 2*a**3 + 0*a**2) + 2*a**4 + a - a - 2*a**4 - a + a. 5*a**4 + 6*a**3 Expand (-33*c**3 - 24*c**3 + 54*c**3)*(4 - 4 - 2) + (3*c**2 + c**2 - 5*c**2)*(-2*c - 1 + 1). 8*c**3 Expand (2*u + 3*u**4 -
{ "pile_set_name": "DM Mathematics" }
(v) = -1307*a(v) - 4*f(v). Let d(r) = -r. Determine d(i(q)). 1307*q Let a(c) = 9*c. Let d(w) = -918*w - 253. Calculate d(a(x)). -8262*x - 253 Let h(g) = 7*g**2 + 63140*g - 1. Let c(b) = b. Determine h(c(o)). 7*o**2 + 63140*o - 1 Let p(j) = 1265*j. Let h(w) = 7435*w + 7432*w - 14866*w. Give h(p(g)). 1265*g Let i(r) = 2*r**2 - 2. Let k(o) be the first derivative of -o**2/2 + 55*o + 460. What is i(k(g))? 2*g**2 - 220*g + 6048 Let b(k) = -9485*k. Let z(a) = 182*a**2 + 2. Give b(z(q)). -1726270*q**2 - 18970 Let p be 944/(-160) + (-6*(-3)/6 - -3). Let x(c) be the third derivative of 0*c**3 + 0 + 13*c**2 + 0*c**4 - p*c**5 + 0*c. Let f(j) = 2*j. Determine x(f(y)). -24*y**2 Let g(h) = 305*h - 31. Let x(j) = 79*j - 8. Let y(f) = -6*g(f) + 23*x(f). Let c(p) be the first derivative of -8 + 0*p + 1/2*p**2. What is c(y(a))? -13*a + 2 Let w(l) be the second derivative of 110*l**4 - 9*l + 31. Let z(m) = 3*m. Calculate w(z(p)). 11880*p**2 Let t(s) = 0*s**2 - 2*s**2 - 9*s**2. Let f(h) = 149*h**2 + 5. Let m(k) = -119*k**2 - 4. Let d(g) = -4*f(g) - 5*m(g). Calculate t(d(u)). -11*u**4 Let k(b) = 34*b**2 + 3. Let f(x) = -321178*x + 2. Give f(k(t)). -10920052*t**2 - 963532 Let h(j) = 6*j**2 - 2. Let l(o) = -o**3 + 2*o**2 + o. Let w be l(2). Let s(q) = -29*q**2 + 11. Let f(b) = w*s(b) + 11*h(b). Let i(g) = 9*g**2. Give i(f(m)). 576*m**4 Let b = -538 - -543. Let a(s) be the third derivative of 0*s + 0*s**3 + 0*s**4 + 0 - 16*s**2 + 1/12*s**b. Let n(u) = u**2. Give n(a(i)). 25*i**4 Let n(y) be the first derivative of 34*y**3/3 - 586. Let m(t) = -101*t**2. Calculate m(n(r)). -116756*r**4 Let n(s) be the third derivative of -17*s**5/15 + 10570*s**2. Let b(f) = -12*f**2. What is n(b(q))? -9792*q**4 Let v(c) = -21*c - 14. Let f(u) = 4*u + 2. Let z(y) = -14*f(y) - 2*v(y). Let k(b) = 14*b. What is k(z(w))? -196*w Let b(v) = 515*v. Let s(j) be the third derivative of j**5/60 + 41*j**2 - 7. Calculate b(s(x)). 515*x**2 Let s(d) be the first derivative of -37*d**3/3 - 5004. Let z(f) = -13*f. Give z(s(i)). 481*i**2 Let y(u) = -3*u**2. Suppose -w - l = -6, -2*w + l = -0*w. Let a(i) = -2*i**w + 28*i**2 + 7*i**2 + 20*i**2. Give y(a(c)). -8427*c**4 Let c(m) be the first derivative of -m**2 - 5627. Let f(j) = 3*j**2 + 2*j + 523. Determine c(f(u)). -6*u**2 - 4*u - 1046 Let d(j) = -262*j. Let z(s) = -30*s - 37*s - 39*s + 87*s. Determine z(d(p)). 4978*p Let w(g) = -681*g. Let h(p) be the third derivative of p**5/60 - p**4/24 - 38*p**2 - 5*p. Let l(a) = -5*a**2 + 6*a. Let i(v) = 6*h(v) + l(v). Determine i(w(y)). 463761*y**2 Let p(w) = 242*w - 2. Let d(t) = -14*t**2 - 8*t + 12. Let h(n) = 17*n**2 + 10*n - 15. Let x(a) = -5*d(a) - 4*h(a). Calculate x(p(r)). 117128*r**2 - 1936*r + 8 Let h(d) be the third derivative of -d**7/504 + 13*d**4/6 - 2*d**2 + 9. Let s(f) be the second derivative of h(f). Let x(j) = 10*j. Give x(s(g)). -50*g**2 Let q(g) = -21*g**2 - 7. Let h(n) = 1607362*n + 6*n**2 - 1607362*n. Determine h(q(v)). 2646*v**4 + 1764*v**2 + 294 Suppose 4*m + 35 = 43. Let r(k) = 36 - 25 - k**m - 11. Let h(a) = 163*a**2. Give h(r(g)). 163*g**4 Suppose -26*v + 6 = -24*v. Let a(t) be the second derivative of -14*t - 85*t**3 + 31*t + 25*t + 83*t**v - t**2. Let h(f) = f. Calculate h(a(y)). -12*y - 2 Let f(n) = -440575*n. Let q(a) = 3*a**2 + 121*a. What is q(f(p))? 582318991875*p**2 - 53309575*p Let v(y) = -2*y. Let q(m) = 946*m**2 - 132*m - 132. Let x(r) = -r**2 - r - 1. Let o(c) = q(c) - 132*x(c). Calculate o(v(w)). 4312*w**2 Let y(i) = 2*i - 7. Let m = -33 + 41. Let x(r) = -1 - 5 - 1 + m. Let c(p) = -14*x(p) - 2*y(p). Let l(n) = 2*n. Give c(l(a)). -8*a Let h(b) = -8*b**2 + 143. Let y(w) = 30 - 5081*w**2 - 30 + 5079*w**2. Give h(y(r)). -32*r**4 + 143 Let f(t) = 446*t**2 + 55442*t. Let u(p) = p. Calculate f(u(a)). 446*a**2 + 55442*a Let y(k) be the first derivative of 23*k**2 - 5. Let o(r) = -5*r**2 - 35*r - 14. Let z(c) = -2*c**2 - 15*c - 6. Let h(l) = 3*o(l) - 7*z(l). Give h(y(d)). -2116*d**2 Let j(n) = 226*n. Let l(z) be the second derivative of 2*z**3/3 + 344*z + 1. What is j(l(m))? 904*m Let j(g) = 9166*g**2. Let v(c) = -255*c**2. Calculate v(j(b)). -21423966780*b**4 Let y(n) = -1446393*n. Let c(l) = -7*l. Give y(c(r)). 10124751*r Let o(m) = 15960*m**2 - 5*m. Let i(b) = 2*b**2. Give o(i(q)). 63840*q**4 - 10*q**2 Let h(p) = 115*p. Let b(m) be the second derivative of -142*m + 0*m**2 + 0 + 1/6*m**3. Calculate h(b(g)). 115*g Let u(p) = 30*p - 24. Let q(r) = -r + 1. Let i(h) = -120*q(h) - 5*u(h). Let d(y) = -14*y. Let z(c) = 2*c. Let j(x) = -6*d(x) - 39*z(x). What is j(i(t))? -180*t Let q(s) be the third derivative of 0*s**3 - 8*s**2 + 0*s**4 - 49/30*s**5 + 0*s + 0. Let w(g) = -2*g. What is q(w(d))? -392*d**2 Let p(l) be the second derivative of 0*l**2 + 1 - 24*l + 4/3*l**3. Let d(u) = 11*u**2. Give d(p(y)). 704*y**2 Let m(l) be the second derivative of -l**4/4 - 268*l + 5. Let n(y) = -5*y. Determine m(n(x)). -75*x**2 Let n(u) = 3*u + 5*u - 6*u. Let b(v) = -970 + 485 - 293*v + 481 + 307*v. What is b(n(z))? 28*z - 4 Let w(j) = 11354*j**2. Let p(l) = -1014*l**2. Calculate p(w(r)). -130718102424*r**4 Suppose -3*o + 3*n - n = -7, n - 16 = -5*o. Let d(l) = -15*l - 1. Let a(f) = 18*f. Let p(k) = o*d(k) + 2*a(k). Let h(m) = -m**2. What is h(p(u))? -81*u**2 - 54*u - 9 Let f(o) = 5*o + 8. Suppose 0 = -56*p + 54*p + 42. Let i(g) = 2*g**2 + 39*g - p*g - 18*g. Calculate f(i(q)). 10*q**2 + 8 Let h(a) = 2*a. Let r(z) be the third derivative of 265*z**4/6 + 1376*z**2. Give r(h(c)). 2120*c Let g(d) be the first derivative of 17*d**4/12 + 26*d - 30. Let q(v) be the first derivative of g(v). Let c(u) = u + 7*u - 7*u. What is q(c(y))? 17*y**2 Let x(v) = 143*v**2 - 2. Let j(i) = -11*i**2 - 417626 + 417626. Calculate j(x(f)). -224939*f**4 + 6292*f**2 - 44 Let o(y) = -29*y**2 - 50*y - 2. Let h(k) = -117*k**2 - 223*k - 9. Let x(w) = -2*h(w) + 9*o(w). Let m(g) = 8*g. Determine m(x(d)). -216*d**2 - 32*d Suppose -3*w + 3*p = -57, 5*p - p - 52 = -4*w. Suppose 5*z - 5*u - w = z, -3*u = 0. Let c(g) = g - 7*g + z*g. Let x(k) = -k**2. What is c(x(v))? 2*v**2 Let f(i) = -1749*i - 1738*i + 3491*i. Let b(z) = 473*z**2. Calculate f(b(p)). 1892*p**2 Let c(m) = 76*m. Let k(w) = -237503*w - 2. Calculate k(c(x)). -18050228*x - 2 Let w(i) = -2*i**2 - 42*i - 22. Let m(l) = -6*l**2 - 119*l - 66. Let r(x) = -6*m(x) + 17*w(x). Let y(a) = -46*a. Calculate y(r(c)). -92*c**2 - 1012 Let x(b) = 30*b**2. Let n(d) = 251*d - 108*d - 7 - 49*d + 7 - 1. What is x(n(f))? 265080*f**2 - 5640*f + 30 Let w(i) = -8*i. Let b(j) = 12*j + 30. Let q be 184/(-56) + ((-20)/28 - -1). Let t(y) = y + 3. Let f(p) = q*b(p) + 30*t(p). What is f(w(g))? 48*g Let m(w) = -w - 4. Let h be m(-14). Let l(j) = -19*j**2 + h*j**2 + 4*j**2. Let c(d) be the first derivative of 2*d**2 - 5. Calculate l(c(u)). -80*u**2 Let x(d) be the first derivative of -16*d**3/3 - 58484. Let b(i) = i**3 - i**2 - i + 2. Let n be b(0). Let p(w) = 2*w**n - 2*w**2 - 2*w**2. Calculate p(x(g)). -512*g**4 Let k(q) = 50*q + 2. Let a(y) = -9958*y**2 - 1. What is k(a(d))? -497900*d**2 - 48 Let k(p) = 89*p - 15. Let u be 7*(-11)/(77/(-2)). Let w(c) = 18*c - 3. Let s(y) = u*k(y) - 11*w(y). Let g(j) = -4*j. What is g(s(a))? 80*a - 12 Let v(j) = 2481*j. Let o(m) be the first derivative of -m**3/3 - 1234. What is o(v(d))? -6155361*d**2 Let j(o) = -3*o**2. Suppose 7 = 5*g - 73. Let d be (g/(-10))/(9/(-6390)). Let b(a) = d - 6*a - 1136. What is b(j(w))? 18*w**2 Let s(d) = 2*d. Let v(l) = -596*l - 5*l**2 + 25*l + 6*l**2 - 291*l. What is v(s(j))? 4*j**2 - 1724*j Let h = -67 - -77. Let f(c) = h*c - 2*c - 9*c. Let p(j) = 28*j - 2. Calculate p(f(o)). -28*o - 2 Let g(v) = -22*v**2. Let j(t) = -11*t**2 - 4*t + 8. Let c(u) = 275*u**2 + 99*u - 198. Let l(a) = 4*c(a) + 99*j(a). Determine g(l(w)). -2662*w**4 Let r(o) = -6*o. Let h(b) = 28*b - 323*b + 2143 - 2141. Determine h(r(c)). 1770*c + 2 Let o(i) = -2*i. Let x(r) = 23172798*r**2. Calculate o(x(k)). -46345596*k**2 Let j(o) = -27*o**2. Let i(s) = 160*s**2 + 168. Let m(f) = -3*f**2 - 3. Let q(b) = 3*i(b) + 168*m(b). What is q(j(n))? -17496*n**4 Let v(n) = 21*n**2 + n. Let w(d) = 3626*d - 3663. Let p(i) = 87*i - 88. Let g(o) = 333*p(o) - 8*w(o). What is v(g(x))? 28749*x**2 - 37*x Let w(i) = 5*i - 5*i - 2*i. Let t(o) = 4581*o - 13689*o + 4526*o - 2 + 4527*o. What is
{ "pile_set_name": "DM Mathematics" }
8 as i*f**3 + w + b*f**4 + o*f**2 + v*f and give b. 2 Express 24*z - 14*z + 21*z + 3*z as v + x*z and give x. 34 Rearrange -d**4 + 4*d**4 - d**4 + (17 - 17 - 4*d)*(0*d**3 - 3*d**3 + 5*d**3) to the form u*d**3 + g*d**2 + z*d + n + v*d**4 and give z. 0 Rearrange (26 + 31 - 72)*(3*o**3 + 4*o**3 - 6*o**3) to a*o + d*o**3 + y*o**2 + b and give d. -15 Express 7*v**4 + 17 + 2*v**3 + 2*v**3 + v**2 - 15 - 3*v**3 in the form z*v + f*v**3 + u*v**4 + q*v**2 + j and give u. 7 Rearrange (-v + 2*v - 3*v)*(1 - 1 + 3)*(71 + 85 - 98) to the form j + m*v and give m. -348 Express -36*a - 60 + 1 + 17*a + 17*a in the form i*a + t and give t. -59 Express -q**2 + 7 + 0*q - 4*q - 21 + 15 as h*q**2 + v + s*q and give s. -4 Rearrange -5*n + 2*n + 34*n**2 - 37*n**2 to the form a + o*n + j*n**2 and give o. -3 Rearrange 5*x + 5*x - 8*x to the form s*x + c and give s. 2 Rearrange 2 - 4 + 2 - 9*v**2 to f*v**2 + i + u*v and give f. -9 Express -40*r**2 - 2*r**4 + 23*r**2 + 2*r**3 + 13*r**2 - 3 as v + s*r**2 + z*r + k*r**3 + c*r**4 and give s. -4 Rearrange (5 - 4 + 11 - 2*d**3)*(-5*d + 0*d + 3*d + (-3 + 0 + 2)*(-2 + 2 + d) + 1 - 2*d - 1) to g*d**3 + h*d**2 + l*d**4 + m*d + u and give m. -60 Express (-7 + 7 + 3*o**2)*(0 + 3 - 5) + 5*o**2 - 3*o**2 + 0*o**2 as x*o + c + i*o**2 and give i. -4 Rearrange 16 + 24 - o**3 - 39 + o**4 to the form l*o**2 + n + q*o**4 + a*o**3 + y*o and give n. 1 Rearrange -a + 4*a**4 + 2*a**3 + a**3 + 79*a**2 + 2 - 81*a**2 - 7*a**4 to the form n*a**4 + q*a + g + b*a**2 + t*a**3 and give g. 2 Rearrange -z - 2*z**3 - 5*z**2 + 20 - 20 to the form y*z**3 + p*z + q*z**2 + v and give q. -5 Express -11*s - 13*s - 7*s in the form j*s + t and give j. -31 Rearrange 1 + d**4 - 2 + 0*d**4 + d**4 - 3*d**3 + d**2 to the form c*d**3 + b*d**2 + n*d + x*d**4 + p and give b. 1 Express (-29 - 53 + 27 - 57)*(4*h - 3*h + h) as k + m*h and give m. -224 Express -26*h**2 - 27*h**2 - 4*h**2 + (-2 + 2 - 1)*(-h**2 + 3 - 3) as p + c*h + w*h**2 and give w. -56 Express 2*t**3 - t**3 - 2*t**4 + 0*t**4 + 2*t**2 as p*t**3 + i + a*t + h*t**2 + m*t**4 and give p. 1 Rearrange 15*z**2 - 9*z**2 + 16*z**2 to j*z + b*z**2 + k and give k. 0 Express 10*g**2 + g + 11*g**2 - 6*g**2 + g as v + u*g**2 + z*g and give u. 15 Express (3 - 3 + 2*t)*(-1 + 3 + 1) + t - 2*t - t + (-t + 4*t - 5*t)*(3 + 0 - 2) as x + q*t and give x. 0 Express (2*x**2 + 0*x**2 + 0*x**2)*(-7*x**2 + 9*x - 14*x + 6*x) in the form c*x**3 + q*x + d + u*x**4 + b*x**2 and give u. -14 Rearrange (-1 - 5*w + 1)*(4 - 6 - 6)*(-7*w**2 + 0*w**2 + w**2) to t*w**2 + h*w + i + j*w**3 and give t. 0 Rearrange -1 - 37*q**2 - 6 + 8 - 30*q**2 to the form o*q**2 + d*q + c and give o. -67 Express (x - x - 3*x**2)*(1 + 0 + 3) - x**2 - x**2 - 2*x**2 in the form h*x + d*x**2 + b and give d. -16 Express -3*j**3 + 3*j**2 - 3*j**2 - j**2 - 6*j in the form i + a*j + m*j**3 + g*j**2 and give m. -3 Rearrange (m + 2*m - 2*m)*(-2*m - 3*m + 3*m) + (-3*m + m + m)*(0 + 2*m + 0 - 3*m - m + 5*m + (6 + 1 - 5)*(5 - 2*m - 5)) to the form d*m + z + s*m**2 and give s. -1 Rearrange (0*n + 2*n - n)*(-60 + 8 - 9)*(3 - 5 + 0) to the form g*n + v and give g. 122 Rearrange -2*n + n + n**3 - 3*n**3 - 4*n**4 + 0*n - 2 to z*n + a + q*n**2 + k*n**3 + g*n**4 and give k. -2 Express (2*c**2 + 2*c - 2*c)*(-55*c + 677 - 677) + (-2*c + 3 - 3)*(c**2 + c**2 + c**2) + 3*c**3 - 7*c**3 + 3*c**3 as g*c**3 + m*c + j + o*c**2 and give g. -117 Rearrange -v**2 - 5*v + 5*v + 24*v**2 to the form u + s*v**2 + o*v and give s. 23 Express -2*j - j - 7*j**2 - 2*j + 4*j as u*j**2 + v + n*j and give u. -7 Rearrange 4*l**2 - 2 + 2 + 20*l**3 - 32*l**3 to the form n*l**2 + m*l**3 + o + p*l and give m. -12 Rearrange 7*z - 9*z + 3*z to the form f*z + b and give f. 1 Express (-1 + 5 - 1)*(-42 - 7*m**2 + 42) as a*m + t*m**2 + q and give t. -21 Express 32 + 21 - 2*f**2 - 71 in the form o*f**2 + n + s*f and give o. -2 Rearrange -2*v**2 - 2*v**2 + 3*v**2 + (v**2 + 4 - 4)*(2 - 1 - 2) + 397*v**2 - 3*v + 7*v - 393*v**2 to the form l + a*v + n*v**2 and give a. 4 Rearrange -15*i + 18*i + 19*i to the form w + y*i and give y. 22 Rearrange 45*s - s**2 - 3*s**3 - 45*s to z + x*s**2 + i*s + v*s**3 and give x. -1 Express (4 + 2*k - 4)*(-8 + 2 + 1)*(k - 2*k + 2*k) in the form c*k + u + n*k**2 and give n. -10 Express -7 + 35*o - 6 + 13 as m*o + z and give m. 35 Rearrange (-2 + 4 - 4)*(2*t**3 - 3*t**2 + 3*t**2) + 34*t - 37*t + 9*t**3 + 7*t**3 to w*t**2 + b*t**3 + y + m*t and give b. 12 Express 110*h + 10*h - 7*h in the form n + y*h and give n. 0 Rearrange -2*f**3 - 5*f**4 + 3*f**4 + 2*f**2 - 6 + f**3 + 2*f to x*f + w*f**4 + m*f**2 + j + v*f**3 and give x. 2 Express 9*b + 6*b + 1 - 10*b - 8 + 8 + 2*b + 2 + b - 2 + (-2*b - b + 5*b)*(-1 - 2 + 1) as m*b + y and give y. 1 Rearrange 13*y**4 - 4 - 2*y**3 + 0*y**4 + 3 + 2*y + 0 to the form d*y**4 + m*y + c + z*y**3 + x*y**2 and give m. 2 Rearrange (3*b - 3*b - 2*b)*(6*b**2 - 3*b**2 - 2*b**2 + (-3*b**2 - 2*b**2 + 3*b**2)*(3 + 2 - 6)) to the form i*b**3 + c*b**2 + v*b + h and give i. -6 Rearrange 0 - 1 + 16 + s - 5 to the form g*s + x and give x. 10 Rearrange -5*r + 5*r + r + (-3*r - r + 2*r)*(2 - 1 + 0) + (3*r - r - 4*r)*(-1 + 0 + 3) + 3*r - 4*r - 4*r to s + o*r and give o. -10 Rearrange 8*o + 10*o - 5*o to v + g*o and give g. 13 Express -81*w + 81*w + 14*w**2 in the form z*w + k + h*w**2 and give h. 14 Express (0 - 1 + 3)*((-3 + 3 + 2)*(0 + 0 + g) - 6 - g + 6) in the form y + u*g and give u. 2 Rearrange 31*x - 17*x - 21*x - 5*x + 4*x + 3*x + (1 - 2*x - 1)*(-1 + 2 + 1) - 4 + 4 + x - 2*x - 2*x + 6*x to f + w*x and give w. -6 Express 0*d + 2*d - 16*d + 2*d - 1 + 1 - d - 2*d + 2*d + (-3 + 3 + 2)*(-d + 2 - 2) + 5 + 2*d - 5 in the form m + p*d and give p. -13 Express 0*c - 36*c**2 - 2*c**4 + 34*c**2 + 2*c + 4*c**3 in the form s*c**4 + d*c**3 + i*c + l + z*c**2 and give i. 2 Rearrange (-50*x + 0*x + 7*x)*(-3 - 3*x**2 + 2 + 0*x**2) to t + b*x**2 + o*x**3 + f*x and give f. 43 Express -6*k**3 + 25 - 25 + (-k + k + 2*k)*(0 + 0 - k**2) + 0*k**3 + 2*k**3 - 3*k**3 - k**3 - k**3 + 3*k**3 as a + f*k + u*k**2 + q*k**3 and give q. -8 Express -12*k - 29*k + 12*k in the form r*k + g and give r. -29 Express -21*z - 102 + 102 in the form x + q*z and give x. 0 Express (51 + 20 + 29)*(-3 + 3 - 1)*(-v + 2*v + v) in the form t*v + c and give t. -200 Rearrange -5*h + 5*h - h**2 + (-h + 2*h - 3*h)*(-h - 4*h + 6*h) + 53*h - 53*h - 25*h**2 to the form k*h**2 + i*h + y and give k. -28 Rearrange -4*x - 42 + 7*x + 42 to g + j*x and give j. 3 Rearrange (3*n - n - n + (4 - 5 + 0)*(-3*n + 0*n + n))*(-2*n**2 + 4*n**3 - 3*n**3 + n**2) to the form m*n + b*n**4 + u + q*n**3 + o*n**2 and give b. 3 Rearrange 2*g**4 + 7*g**2 + 13 + 2*g**3 - 4*g**4 - 13 to the form q*g**2 + j*g**4 + v*g + d + m*g**3 and give j. -2 Express (2*d + 5 - 4 - 4*d)*(4*d + 4*d + d) in the form u + a*d**2 + b*d and give b. 9 Express 2*c**4 - c**2 - 18 + 9*c + 2*c**2 + 20 in the form l*c + u*c**2 + t + j*c**3 + n*c**4 and give u. 1 Express -17*i + 25*i**2 + 0 - 24*i**2 + 1 + (i**2 + 0*i**2 - 2*i**2)*(2 + 2 - 5) as u*i**2 + w*i + m and give w. -17 Rearrange (-34*m - 67 + 67)*(0 - 3 + 6) to q*m + u and give q. -102 Rearrange (-5*g + 4*g - g)*(-2*g**2 + 6*g**2 - 2*g**2) + (-2*g + 3*g - 2*g)*(-2*g**2 + 3*g**2 + g**2) to h*g**2 + f + k*g + b*g**3 and give b. -6 Express (2 - 2 + 1)*(-1554 + 30*h + 1554) + 0*h - 2*h + 3*h as b*h + d and give b. 31 Rearrange (-5 - 6 + 5)*(2*d**2 + 0*d**2 + 9*d**2) to the form l + j*d + m*d**2 and give m. -66 Express -3*a**2 - 7*a**3 + a**2 + 0*a**2 + 22*a**3 in the form q*a**3 + x*a + o*a**2 + z and give q. 15 Rearrange (1 - 5 + 3)*((0*f - 2*f + 0*f)*(-1 - 16 - 8) + (-4 - 1 + 4)*(-2*f - 2 + 2) + 4 + f - 4) to the form l + a*f and give a. -53 Rearrange -62*d + 26*d + 36*d - 44*d**2 to the form k + h*d**2 + b*d and give h. -44 Rearrange -16*t + 5 + 2 - 7 to the form k*t + o and give k. -16 Rearrange (-k**3 - 5*k**3 + 2*k**3)*(-4 + 0 + 2 + (-2 - 1 + 1)*(-1 + 6 - 3) + 1 - 1 + 3) to the form g + s*k**3 + v*k**2 + y*k and give s. 12 Rearrange (-o + 3*o + o)*(-o + 3*o - 3*o)*(0*o**2 - 2*o**2 - o**2) to c + t*o**3 + i*o + s*o**4 + q*o**2 and give s. 9 Express -7 + 4 + 10*i**3 + 6 as p + c*i**2 + h*i + d*i**3 and give p. 3 Express (u + 5*u - 4*u + (3 - 3 - 2*u)*(-3 - 3 + 2) + 3*u + 2*u - 3*u + 4 + 0 + 2*u - 6)*(u**2 - 4*u + 4*u) as t +
{ "pile_set_name": "DM Mathematics" }
positive. w**(-13/2720) Simplify (((i/i**(-4))/i**(-9/4))/(i**(-5)*i**(-3)))**(-9) assuming i is positive. i**(-549/4) Simplify ((d**(15/8)/d)/(d/(d*d**(-5/6))))/(d*(d/(d*d**(2/9)*d))/d*d)**(-30) assuming d is positive. d**(-53/8) Simplify q**(-2/17)*q**(4/7)*(q**5)**(-6) assuming q is positive. q**(-3516/119) Simplify (f*f**5*f)**(-2)/(f*(f/(f/f**(-1/24)*f))/f*f)**(1/3) assuming f is positive. f**(-1007/72) Simplify (n**(-13)*n**10)/((n/(n*n*n*((n/(n/((n/(n**(3/2)*n*n*n)*n)/n)))/n)/n))/n)**28 assuming n is positive. n**(-73) Simplify (b**2*b**(-2/7)*b*(b*b/(b**(-1/2)/b))/(b*b**1*b))**(-44) assuming b is positive. b**(-990/7) Simplify ((n*n*n**(-8)/n)**(-31))**(-39) assuming n is positive. n**(-8463) Simplify (h**(4/9)*h/(h*h*h**(-5/7)*h)*(h**2*h)**(9/5))**(19/2) assuming h is positive. h**(13642/315) Simplify ((h**(14/3)/h)/h**(-10/3))**(-41) assuming h is positive. h**(-287) Simplify ((m**0/m)**(-4/7)/(m*m**(2/5))**41)**4 assuming m is positive. m**(-7956/35) Simplify ((((j*j**(-3/4))/j)/j)/j)**14/((j**(-6)/j)/j)**(-19) assuming j is positive. j**(-381/2) Simplify ((j/(j*j**(-2/7)*j)*j)**(-16)/(j**(-1)*j*(j*j*j**(5/6))/j))**(3/7) assuming j is positive. j**(-269/98) Simplify ((b**(-4)/b)**32)**(12/5) assuming b is positive. b**(-384) Simplify (h*h/(h/h**23)*h*h**(-1/2))/(h**(-10)*h*h)**(-8/15) assuming h is positive. h**(607/30) Simplify (z**(-4)*z**4*z*((z*z*z*((z*z**(-1))/z*z)/z*z)/z*z*z)**(-2/61))**(-5/7) assuming z is positive. z**(-265/427) Simplify (v**(-12/5))**(3/28)/(v/(v*v/v**(6/5)))**(-20) assuming v is positive. v**(131/35) Simplify z/((z*z/((z**8/z)/z))/z)*z*z*(z/((z*z**(-1/5))/z))/z*z**21*z**23/z assuming z is positive. z**(256/5) Simplify ((a/a**(-1/3))/a**(5/12))/((((a*a**(9/5)*a*a)/a)/a)/a*a**(-8)) assuming a is positive. a**(427/60) Simplify (y*y/y**(-2/15))/(y/y**(-3/8))*(y*y/(y*y*y/y**(16/7)))/y**(-4) assuming y is positive. y**(5077/840) Simplify (x*x*x*x**(-9)*x)**(2/37)/(x*x**(2/39))**(-4/7) assuming x is positive. x**(3338/10101) Simplify (p/(p/(p*p**(-4/7)/p))*p)**(3/4)/(p/p**(-1/21))**(-24) assuming p is positive. p**(713/28) Simplify (z**13)**(-14)/((z**(1/9)/z)/z)**16 assuming z is positive. z**(-1366/9) Simplify (((d/(d*d*d*d*(d*d**(-1/4)/d)/d*d*d))/d)**(-24)*d**(-1)*d/d**(-2/5))**14 assuming d is positive. d**(8008/5) Simplify ((s/(s/((s*s**(-3/17))/s)))/s*s*s**(-4/17)*s*s)/((s*s**19)/s**(-4/11)) assuming s is positive. s**(-3511/187) Simplify (((g/((g**8*g)/g))/g**(-7))**(-30))**1 assuming g is positive. 1 Simplify i/i**9*i**19*i*i**(-19)*i/i**(-8/7) assuming i is positive. i**(-34/7) Simplify (k**(-2/9)*k)/k**8*(k/((k/k**(-2/21))/k*k))/(k**9/k) assuming k is positive. k**(-965/63) Simplify ((((c**(-2/7)*c*c)/c)/(c**4/c))**(1/26))**(2/109) assuming c is positive. c**(-16/9919) Simplify r**(-11/6)/(r*r**(1/5)*r)*(r**(-21))**(-44) assuming r is positive. r**(27599/30) Simplify z**(1/5)*((z**(2/21)/z)/z)/z*z/(z**(-14)/z*z)*z**(-8/7) assuming z is positive. z**(1171/105) Simplify (t**2/t)**(16/7)*(t**(-9)*t)/(t**12/t) assuming t is positive. t**(-117/7) Simplify ((q*q**(-21))/q*q)/q**(-2/11)*(q/((q/(q**(-5)/q))/q))**(-1/7) assuming q is positive. q**(-1471/77) Simplify ((v*(v**(2/33)*v)/v)/((v/(v**(-4)/v)*v)/v))**(21/8) assuming v is positive. v**(-1141/88) Simplify ((i**(-24)/i)/i)/i**(-3/11)*i**(1/2)*i*i*i*((i*i/(i*i*i**19))/i*i)/i*i assuming i is positive. i**(-907/22) Simplify (v**(-3/5)/v*(v*v*v**(4/11))/v)/(v/(v/((v/((v/((v/(v/v**(-11)))/v))/v*v))/v*v))*v**9) assuming v is positive. v**(152/55) Simplify (j/(((j*j**(1/11))/j)/j)*j)**1/(((j**3*j)/j*j)/j*j)**47 assuming j is positive. j**(-2036/11) Simplify j**(-3)*j**33/j*(j**(1/7))**(-1/21) assuming j is positive. j**(4262/147) Simplify (t**3)**43/(t**(-1/2))**(-39) assuming t is positive. t**(219/2) Simplify (((b**10/b)/(b**7*b))**11)**(-5/4) assuming b is positive. b**(-55/4) Simplify ((k/(k/k**22))**(-7/5))**(-49) assuming k is positive. k**(7546/5) Simplify (w**(2/19)/(w**(19/3)*w))**(1/36) assuming w is positive. w**(-103/513) Simplify z**(5/4)/z*z*z/(z*z**(-20)/z)*((z/(z*z**(1/4))*z)/z)**28 assuming z is positive. z**(61/4) Simplify (f*f**4)**(-38)/(f/(f/f**(-5/7)*f)*f*f/(f/(f/f**(-3/13)*f))*f) assuming f is positive. f**(-17519/91) Simplify (q/q**(2/57)*q*(q*q**(-1/19)*q)/q)/(q**(1/4))**4 assuming q is positive. q**(109/57) Simplify k**(-3/14)/(k**(-18)*k)*((k*k**(-4/5))/k)**12 assuming k is positive. k**(503/70) Simplify (f*f/((f/f**(-6))/f)*f*f**3*f)/(f*f**(4/9)*f/(f*f**(1/3)/f)*f) assuming f is positive. f**(-19/9) Simplify c*c**(-3/13)*c**(-10)*(c**2)**(-40) assuming c is positive. c**(-1160/13) Simplify (d*((d*d/(d/d**(2/7)*d))/d)/d*d)**7/(d/(d**(2/7)*d)*d/d**(2/17)*d) assuming d is positive. d**(48/119) Simplify ((b/b**(-1/18)*b*b**(-9))**(-2/33))**(1/32) assuming b is positive. b**(125/9504) Simplify (w**(2/53)*w**22)/((w/(w/(w**(1/2)*w)*w))/(w/w**(-9))) assuming w is positive. w**(3343/106) Simplify (m**(-28)*m**(-32)*m)/(m**(1/16)*m**(10/3)) assuming m is positive. m**(-2995/48) Simplify (u**(1/2))**(1/46)*u**(-2)/u**(1/3) assuming u is positive. u**(-641/276) Simplify (u**18*u/u**(5/7))/(u/(u**(-3)*u))**(-4/3) assuming u is positive. u**(156/7) Simplify s**(-26)*s/(s/(s/s**(-24))*s)*s*s**22/s**(-3/14) assuming s is positive. s**(297/14) Simplify (d*d/(d/(d**(-4/7)*d))*d**21)**27 assuming d is positive. d**(4239/7) Simplify (a**3/a*a*a*a/(a**(-4/9)/a)*(a**(1/3)*a)**3)**38 assuming a is positive. a**(3572/9) Simplify (f**(2/15)*f**(1/5))/(f**(-11)/f**(-6)) assuming f is positive. f**(16/3) Simplify ((h*h/h**(10/11))/h)/h*h*((h/h**(6/19))/h)/h*h**19/h*h**(-16)*h assuming h is positive. h**(371/209) Simplify ((b**(2/9)*b*b**8*b*b)/(b*b**3)**(6/19))**(4/3) assuming b is positive. b**(6812/513) Simplify (i**(5/2)/i)**(-1/15)*(i/(i/(i*i*(i**(1/7)*i*i)/i*i)))**(-20) assuming i is positive. i**(-5807/70) Simplify ((i**6*i)/i)**(-2/7)*i**(-12)*i**(-3/8) assuming i is positive. i**(-789/56) Simplify ((u/u**(-18))/u)/(u*u*u**(2/19))*(u**16*u)/((u*u/(u/(u*u*(u*u**(-17/2))/u*u)))/u) assuming u is positive. u**(1459/38) Simplify (v**(-1/3))**(-36/5)*v**(7/2)/v**(1/3) assuming v is positive. v**(167/30) Simplify (a**(-25)/(a/a**(2/57)))/(a/a**(2/23))**(-3/4) assuming a is positive. a**(-132569/5244) Simplify (z**0)**(-8/13)*z**(-2/17)/(z**(6/5)*z) assuming z is positive. z**(-197/85) Simplify (((k**(-3/2))**(-19))**39)**23 assuming k is positive. k**(51129/2) Simplify ((r/(r/(r**0/r*r)))/r**(-4))/(((r**5*r)/r)/r**(-1/19)) assuming r is positive. r**(-20/19) Simplify (((o*o**23)/o)/o**(-3/2))/(o/(o*o/((o**(2/29)*o)/o))*o*o*o/((o*o*o**(-24)*o*o)/o)) assuming o is positive. o**(83/58) Simplify ((h**(2/65))**(-42))**(2/123) assuming h is positive. h**(-56/2665) Simplify ((j*j**(-29))**(-29))**7 assuming j is positive. j**5684 Simplify (n/(n**(-29)/n)*n*n*n**(8/3))**41 assuming n is positive. n**(4387/3) Simplify ((d/(d**18/d))/d)/d*d/((d/d**(-4/5))/d*d)*(d**(2/5))**(-1/20) assuming d is positive. d**(-941/50) Simplify u/u**7*u*u*u/u**(2/3)*u*(u*u*u**18)/(u/(u/(u*u*u**(-5/6)*u*u*u))) assuming u is positive. u**(79/6) Simplify ((i*i/i**(-15)*i*i)/i*i/((i/(((i*i**(-2/5))/i)/i))/i))/(i**(-2)/i)**(4/7) assuming i is positive. i**(676/35) Simplify (j*(j*j**(2/25)*j)/j*j*j*j)**(-30)*j**(-3)/(j/(j**16/j)*j*j) assuming j is positive. j**(-717/5) Simplify (x*x/((x*x/(x*x**(-12))*x)/x))**(-41)/((x/(x*x**(-2/5)/x))/x)**(-10/9) assuming x is positive. x**(4063/9) Simplify ((b/b**(2/5))/(b/((b*(b*b**(-1/6))/b*b)/b)))/(b**(-2/9)*b)**(-5) assuming b is positive. b**(389/90) Simplify (((t/(t/(t*t/t**1)*t))/(t**(1/14)*t))**(-1/13))**(-28/9) assuming t is positive. t**(-10/39) Simplify n**(-10)*n**12*(n/(n*n/(n**(6/11)/n))*n)**(-32) assuming n is positive. n**(182/11) Simplify ((z/z**2)**49*(((z*z/z**(-2/3))/z)/z)**(-6/13))**(-43) assuming z is positive. z**(27563/13) Simplify (u**(-6/11))**(3/34)*(u**(-8/7))**(-36/5) assuming u is positive. u**(53541/6545) Simplify (g*g**(-2/5))**(1/32)/(((g/(((g**(-1/31)/g)/g)/g)*g)/g*g)/g**17) assuming g is positive. g**(59453/4960) Simplify ((a*a*a*a**5/a)/(a/(a**1*a*a*a))*a**(2/3)/a**3)**33 assuming a is positive. a**253 Simplify (((h**(2/25)*h)/h)/h)/h*h**(-2/19)*h**(3/2)/(h/h**(-1/32)) assuming h is positive. h**(-23659/15200) Simplify
{ "pile_set_name": "DM Mathematics" }
- a. Solve -5*w - 8 = 2*d, -7*d + w - 20 = -i*d for d. -4 Suppose 2*k + b - 6 = 0, -16*k + b = -15*k. Solve 0*d - 2*d + 2 = -4*x, -x - 5 = -k*d for d. 3 Suppose -21 = -5*g + 9. Let x be -4 + (g - -4 - -2). Suppose -6*d = -16 - x. Solve 0 = 4*m - v - d*v + 8, 5*m - 5*v + 5 = 0 for m. 3 Suppose 0 = -11*v + 4*v + 21. Solve -j - 5*z - 3 = 3*j, -j + 12 = -v*z for j. 3 Let o(u) = 16*u**2 - 7*u + 7. Let l be o(1). Suppose 0 = -13*j + l*j - 12. Solve -3*y = -5*i - y + j, -5*i - y - 2 = 0 for i. 0 Let x = 286 + -286. Solve x = 4*j - 5*n - 25, 0 = 5*j - 0*n - 3*n - 28 for j. 5 Suppose 18*d - 48 = 6*d. Let s be (-3 - -8)*d/10. Solve -4*t - 2 = -2*z, 2*z + 5 = -s*t - z for t. -1 Let j = 640 + -635. Solve -k - 9 = 2*f, -f = -j*f - 8 for k. -5 Let g(m) = -m**3 + 4*m**2 + 8*m - 11. Suppose 3*p - 11 = -u - 3*u, -3*u + 18 = -p. Let h be g(u). Solve 4*k + 3*f = 6*f - 13, h*f + 8 = -k for k. -4 Let v be ((-6)/5)/(6/(-20)). Let h = 16619 - 16597. Solve 7*x + q = 2*x - h, v*x + 6 = 5*q for x. -4 Suppose 0 = -3*m - d - 2*d + 12, 4*m - d = 16. Let y(w) = w**3 - 5*w**2 + 5*w - 2. Let k be y(m). Let o = 7 + -5. Solve -o*n + 4*x + 18 = -0*n, 4 = -k*x for n. 5 Let f be 1/(-5) + -3*(-2)/5. Solve 4*s + a = f, -s + 0*s = a - 4 for s. -1 Let w = 180 + -177. Solve -3*x + 0*b - 3*b - 30 = 0, w*b - 10 = 5*x for x. -5 Suppose -3*c = -a - 10, -3*c - c + a = -12. Let l be c/(-6) + 110/33. Solve -6 = l*r + 6*w - 2*w, r + 2*w = -4 for r. 2 Suppose 17*n - 22*n + 2*i + 28 = 0, -4*n - 4*i = 0. Solve -4*k + 5*k = -2*g - n, 0 = 4*g - k + 20 for g. -4 Let s(d) = d**2 - 17*d + 4. Let r be s(17). Solve -m - m = r, -2*q = m for q. 1 Let v be 3 + ((-1)/(-3))/(29/(-87)). Let c be (-30)/(-7) - 6/21. Let m = -2 + c. Solve -5*q = 4*i - 1 + 10, v*i = -m*q - 2 for i. 4 Let b be (-175)/14*(-2)/5*1. Solve 2*d + 18 = -2*l, 2*d = 5*l + b + 5 for d. -5 Suppose 105 = 50*b - 43*b. Suppose -4*n + 6 = -3*s, 4*s = -n - 4 - 4. Solve 3*j + b = g - n*j, 0 = -g - j - 1 for g. 3 Suppose 0 = -10*t + 2 + 98. Solve 4*b - 1 = -0*q + q, 4*b = -2*q + t for q. 3 Let l(b) = b**3 - 3*b**2 - 13*b + 17. Let i be l(5). Solve -3*n + 2*k = 4, -16 = n + n + i*k for n. -4 Let y(k) = 2*k - 2. Let s(u) = u - 3. Let f(r) = -2*s(r) + 3*y(r). Let p be 9/36 - (-3)/4. Let a be f(p). Solve -z - z + 2*n = -8, 16 = a*z - 2*n for z. 4 Let k = -1063 + 1065. Solve 0 = k*j - b - 2, -b - 2 = j - 3*b for j. 2 Suppose 0 = 4*j - 6 - 42. Suppose -9*p + j*p - 15 = 0. Solve -20 = r + 5*m, -p*r - 11 = -3*m + 5 for r. -5 Suppose 4*f - 449*z = -453*z, -2*f + 14 = -5*z. Solve -8 = f*r + r + g, 2*r = -4*g - 22 for r. -1 Let o = 1600 + -1595. Solve -t = 5*l - 15, o*t = 5*l + 25 - 10 for l. 2 Let y(s) = 8*s - 61. Let j be y(8). Let n(w) = w. Let p be n(5). Let u = 8 - p. Solve -5*r - 5*b = -35, -u*b + 5 = -4*r + j*r for r. 4 Let x(v) = -v**2 - 34*v + 74. Let u be x(2). Solve -u*q - 2*k - 2 = 0, -q = -2*q + k + 3 for q. 1 Let l(i) = -i + 3. Let t be ((-12)/(-10))/(8/20). Suppose t = m - 0*m. Let y be l(m). Solve -12 = 4*g - 2*f, y = 5*g - 0*g - 3*f + 17 for g. -1 Let z = -2 - -11. Let h = -62 - -67. Suppose -5*k - 13 = 4*v, 3*v + 5*k = h*v - 31. Solve 0 = v*q - 2*s + z, 6 = -4*q + 2*q - 5*s for q. -3 Let i = 98 + -96. Solve 0 = -n - w - 10 + 3, -i*n = 5*w + 29 for n. -2 Suppose 0 = 14*y - 11*y + 5*h + 15, y + h = -3. Solve -2*v = -r - 8, 3*r = 2*v - y*v - 4 for r. 2 Let m be (-5)/(-2)*-22*30/(-825). Solve 0 = 4*l + 2*d - 9 - 17, -m = 2*l - 4*d for l. 5 Let y(s) = -s**2 - 7*s - 10. Let d be y(-2). Solve d*n - k - 1 = n, -3*k = -n - 17 for n. -5 Let i be (-2)/3 + 17/3 + 1. Let f be i/4*-2*(-25)/15. Solve -3*g - f*r = 2 + 14, 3*r + 15 = 0 for g. 3 Let k(z) = -z**3 - 12*z**2 - 4*z - 216. Let m be k(-13). Solve 0 = -5*q + 6*q + 5*d, -m*q + 2*d = 0 for q. 0 Let g = 14 - 10. Suppose -g*i = 3*a - 4, -3*a + 15 = 3*i + 6. Let l be 4/a - (-15)/2. Solve -u + 5*q - 17 = 0, -l*u + 4*u = -5*q + 8 for u. 3 Suppose 3*l - 11*b + 13*b - 2 = 0, 0 = 5*l + 5*b. Solve -4*m = 2*c + 3*c - 11, l*c + 5*m = 18 for c. -1 Suppose 3*l = 25 - 7. Let b = -3 + l. Suppose -o + 1 = 4*f, 3*f + 2*f + 25 = 4*o. Solve -5*g = o*r, -b*g + 3*r + 8 = -2*g for g. 2 Suppose b + 40*m = 41*m - 2, 5 = -5*b + 4*m. Solve -1 = -3*a - 4*o + 2*o, b*o + 24 = 4*a for a. 3 Suppose 146 = -5*k + 156. Solve -4*w - 3*n - 15 = 0, -k*w - 3*n - 11 = 2*n for w. -3 Suppose -13*q + 30 = -14*q. Let g = q - -32. Solve 5*t + 3*u + 2 - 21 = 0, -8 = -t - g*u for t. 2 Let l(s) = -s + 7. Let r be l(7). Let p be (-12)/16 + 3/4. Solve p*a = m + 4*a + 3, -m - 3*a - 3 = r for m. -3 Suppose 3*v + 13 = 7. Let f be 1/((-5)/v + -2). Solve -3*p - f*p = -3*z + 9, -3*z - 2*p + 9 = 0 for z. 3 Suppose -d + 2 - 3 = 0, -5*v + 24 = -4*d. Suppose -v*j - 9 = -25. Solve 2*w + 2*l + 1 = 5*w, j*l = 4*w - 4 for w. -1 Let u(f) be the first derivative of f**3/3 + 23*f**2/2 - 34*f + 12. Let k be u(-25). Solve 5*x + 3*h + k = 0, -1 + 3 = 2*x - 3*h for x. -2 Let b = 392 - 390. Solve 3*g - 13 = -5*z, -b*g - z - 23 = -4*z for g. -4 Suppose 5*u - u - 20 = 0. Let d be (-184)/(-20) + 20/25. Let a be (-1)/3 + 92/6. Solve 4*p = -2*z + d, -z = -4*z - u*p + a for z. 5 Let m = -125 + 127. Solve m*u + 2*t = -2*t - 10, 0 = 4*u + 2*t + 20 for u. -5 Suppose -4*c = 20, 2*f - 4*c = -c - 71. Let v = 45 + f. Solve 0 = -5*o - v*g, -27 = 5*g - 2 for o. 2 Suppose -10*o = -8*o + 6. Let m(c) = -2*c**2 - 8*c - 3. Let p be m(o). Solve -18 = -0*l + p*l + 2*n, -4*n = 4*l + 28 for l. -4 Let t(d) = d**3 - 7*d**2 + 7*d. Let z be t(1). Solve -z + 5 = 2*g, 25 = -3*k + 5*g for k. -5 Suppose -b - b + 160 = -4*h, -2*b + 2*h = -158. Suppose -5*u + b = 28. Let w be 153/45 + 6/u. Solve -3*y - 15 = 0, -3*m - w*y = -0*m + 26 for m. -2 Suppose 24 = 3*o + 4*m, -3*m + 24 = 3*o - 0*m. Let l(j) = j**2 - 2*j. Let n be l(5). Solve -i + 2*h + o = -3, 0 = 5*h + n for i. 5 Suppose 2*m = 71 - 63. Solve m*q + 2 = 5*h - 2, 8 = h + q for h. 4 Let w be (-104)/10 - (-8)/20. Let n = 13 + w. Suppose -4*c + 2 = m + 6, m = n*c + 3. Solve -5*x + m*h - 8 = -4*h, -4*h = -8 for x. 0 Suppose c = -2*j - 132 + 133, -2*j - 44 = -4*c. Solve 7 = 4*i - 5*z, -4*i - 3*z + 6*z + c = 0 for i. 3 Let k be (-8)/16 + 3/(-2). Let x = k - -6. Let c be x/6 + (-75)/(-9). Solve -s - 5*y = 7, 2*s + 3*y + 2*y + c = 0 for s. -2 Let z = -77 + 83. Suppose -4*a = 5*g - 7, g + z*a + 7 = a. Solve 2*w + g = 4*x - 13, -2*x = -5*w for w. 2 Suppose 3*c - 80 = 5*u, 62 = 5*c - 5*u - 68. Suppose -11*r - 9 = -14*r. Let i = r + -3. Solve i = -6*v + v, -5*f - 4*v = c for f. -5 Suppose 3*h - 66 = 5*m, 3 + 3 = -2*m. Let q be (-105)/(-45) - -1*(-1)/6*2. Solve r - t = 3, -3*r - q = 4*t + h for r. -1 Let i be ((-64)/24)/((-2)/3). Suppose -5*k + 2*k + 15 = 3*j, 2*k - 4*j = 4. Let n = 1 - -2. Solve -i*d - 5*r = -d - k, 2*d - 9 = n*r for d. 3 Let a(g) = -50 - g + 33 - 4*g. Let u be a(-4). Solve 4*x + u = 15, h + x - 3 = 0 for h. 0 Suppose j + z - 4*z - 14 = 0, -4*j - 4*z + 8 = 0. Suppose 5*i - j*s = -0*s - 10, 2*s = -3*i + 14. Solve 0 - 1 = -3*p + 5*y, i*y = -p - 7 for p. -3 Suppose -5*k + 101 = -54. Suppose 8*s - k - 9 = 0. Solve 4*v + 4 = 0, -s*q = v + v - 3 for q. 1 Suppose -13*k = -1 - 64. Solve -5*i - k*a - 35 = 0, 2*a - 2 = i - 7 for i. -3 Let f be (-1)/(-2)*((-7 - 1) + 8). Solve 4*r - 3*r - 2*l + 6 = f, -3*r - 16 = -5*l for r. -2 Suppose 19*u - 40 = 9*u. Solve g = -4*i + 25, -2*i + u*i - 2*g = 0 for i. 5 Suppose -11*n + n = -270. Suppose -11*t + 94 = -n. Solve -36 = -4*j + 4*b, -2*j + 3*b = -3*j - t for j. 4 Let t be (-1)/10*-10*(-1 + 1). Solve t = -2*q + 2*j - 2, -q + 0*q + 5*j - 21 = 0 for q. 4 Suppose -5 = 14*l - 159. Solve -2*u - j + l = u, 23 = -u + 5*j for u. 2 Suppose -5 + 33 = 2*x. Solve -5*j + 3*j = -3*n + x, 18 = -3*j + 3*n for j. -4 Suppose l = -4*a - 8, 0*l - 32 = -3*l + 2*a. Solve -2*f - 2*y + l = -4*y, -5*f = y - 8 for f. 2 Let i(a) = a**2 - 4*a + 4. Let j be i(4). Suppose 11*p + 6 = 17*p. Solve -4*t = -4*x - 32, -2*x - j*t + 3 = p for x. -5 Let v(f) = 2*f**3 + 81*f**2 - 128*f - 82. Let w be v(-42). Solve -2*z - w*m = 0, 0*z - 3*m + 1 = 4*z for z. 1 Let w be (15/(-3))/((-5)/3). Solve -b + 4*o = 19, -w*o = -b + 3*b - 6 for b. -3 Let b be (33/198)/((-4)/(-72)). Solve 3*d + 4*y + 6 = 0, 9 = b*d - 0*d - y for d. 2 Let i(d) = -d**2 + 21*d + 27. Let n = -26 - -48. Let b be i(n). Solve 3*z = -4*l + 7, 0*l + 7 = -2*l - b*z for l. 4 Let w(s) = s
{ "pile_set_name": "DM Mathematics" }
3*z - 5082) to the form a*z**3 + p + x*z**4 + v*z**2 + k*z and give x. -181666 Rearrange -2 - 6431*t + 241*t - 593*t + 2 to the form k*t + z and give k. -6783 Rearrange 316*h - 1901 + 82*h - 1886 + 3787 to the form z + q*h and give q. 398 Rearrange -144*o**2 + o - 1 + 2*o**3 - 211*o**2 - 2*o**4 + 385*o**2 to u*o**4 + i*o**3 + k*o**2 + l*o + v and give v. -1 Rearrange 1042*r**2 + 1677*r**2 + 26*r**2 + 1228*r**2 to the form o*r + a + g*r**2 and give o. 0 Rearrange 2*g**2 - g + g + (-138 + 138 - 71*g)*(11*g + 135 - 135) to t*g**2 + m*g + n and give t. -779 Express 9821 + 1215*p**4 + 9*p**3 - 1212*p**4 - 9822 - 45*p as k*p**3 + n + g*p**4 + h*p**2 + y*p and give n. -1 Rearrange 5*f**4 - 82812*f + 2*f**2 - 1 + 0*f**2 + 82552*f + 3 to the form q*f**2 + k*f**4 + d*f**3 + u + i*f and give u. 2 Rearrange (1 + 1 - 1)*(b + 6 - 6) + 4 - 4 + 2*b + (-35 - 133 - 38)*(2 - 2*b - 2) to the form o*b + i and give o. 415 Rearrange (-2565*a - 171 + 361 - 190)*(0*a + 2 - 8*a - 6*a) to the form h + k*a + c*a**2 and give c. 35910 Rearrange 40*c - 40*c - 7*c**4 + 8 + 0*c**4 + 2*c**2 + 6*c**4 + 12*c**3 to p + o*c**4 + r*c**2 + k*c + w*c**3 and give o. -1 Rearrange 3*w**3 + 18 - 10 + 150*w**4 + w**3 - w**3 - 146*w**4 - w**2 + 3*w to z*w**4 + n*w**3 + s*w**2 + u + b*w and give b. 3 Rearrange (m + 0*m - 2*m)*(236*m - 472*m - 158 + 232*m)*(5 - 5 - 2*m) to a*m + j*m**3 + f*m**2 + u and give j. -8 Rearrange -86*a + 86*a - 1501*a**2 - 2*a**3 - 25 + 1503*a**2 to the form b*a**2 + q + w*a + h*a**3 and give h. -2 Rearrange b**3 + 72*b**4 - 3*b**2 - 141*b**4 + 72*b**4 + b**2 + 4*b to q*b**4 + n + i*b + z*b**3 + l*b**2 and give l. -2 Rearrange -1012 + 22*m**3 + 208 + 178 + 270 + 214 to j*m**2 + u*m**3 + h*m + a and give u. 22 Express -3 - 22*b**2 + 111*b**2 + 137*b**2 as l*b**2 + f*b + q and give q. -3 Rearrange i + 1432 + 1346 - 2329 to the form s + w*i and give s. 449 Express 280 - 4*y**2 + 272 - 824 - 3*y**2 + 278 + 6*y as h*y**2 + b + x*y and give b. 6 Express (-i**2 - 2*i**2 + i**2)*(1094*i + 386*i - 153*i)*(i - 1 + 1) - 2*i**4 + 0*i**4 + 5*i**4 as l + p*i**4 + g*i + q*i**2 + s*i**3 and give p. -2651 Express 67 + 89 + 13*o - 72 in the form x + g*o and give g. 13 Rearrange (3 - 1 - 1)*(3 + 2*h - 3) + 4*h - 3*h + h + h - 3 + 2 + 3 + 59*h + 109*h + 152*h + (0 - 4 + 2)*(-h + h + h) + h - 2*h + 2*h to d + b*h and give b. 324 Rearrange -52*a + 52 - a**4 + 137*a - 104 + 165*a + 51 to y*a**2 + x*a**4 + j*a**3 + w + q*a and give q. 250 Express (1 + 1 + 0 + (3 + 1 - 5)*(-6 + 2 - 4) - 2 - 2 + 5)*(3*p + 6*p - 7*p) as o*p + g and give o. 22 Express 5 - 497*x - 227*x - 423*x - 2 in the form a*x + k and give k. 3 Express (r**4 + 3 - 4*r**3 + r**4 + 3*r**3)*(109 - 352 - 163) as o*r**2 + v*r**4 + u*r + h*r**3 + c and give c. -1218 Rearrange -85603*u**2 + 2 + 85602*u**2 + 3 + 90*u - 2 - 5 to the form r*u**2 + t + m*u and give m. 90 Express (-3284 + 1319 - 2780)*(o**2 - 2*o**2 - o**2) in the form m*o**2 + q*o + p and give m. 9490 Rearrange -m**4 - m**2 - 1 + 121*m - 6*m**3 - 84*m + 4*m**3 to n*m**2 + a + j*m**4 + i*m + v*m**3 and give i. 37 Rearrange -471251*r - 9*r**3 - 21*r**3 + 471248*r - 104*r**2 to m*r**2 + s*r**3 + p*r + u and give m. -104 Rearrange -2913*x + 492*x + 3443*x + 7417*x to the form v + d*x and give d. 8439 Rearrange (1 - 1 + 4)*(-1 + 2 + 3 + (6 - 2 - 2)*(3 + 2 - 7) + 4 + 0 - 3)*(-2 + g + 2)*(g - 3 + 3) to the form a*g + b*g**2 + t and give b. 4 Rearrange (-16*m + 11*m + 2 + 2*m)*(-1 + 3 - 4)*(-13*m**2 + 8*m**2 + 13*m**2)*(1 - 5 - 3) to b*m**3 + y + h*m**2 + k*m and give b. -336 Rearrange 32*f - 92*f - 599 + 34*f + 34*f to the form n + p*f and give n. -599 Express (0*q - 5*q + 4*q)*(272*q + 107246*q**2 + 50725*q**2 + 372*q - 644*q + 20478*q**2) in the form c*q**3 + k*q + i*q**2 + f and give c. -178449 Rearrange 23 + 142*t**3 + 18*t**2 + 40 - 66 - 191*t**2 - 141*t**3 to the form p*t**3 + g + y*t + h*t**2 and give p. 1 Express 165 - 314 + 152 - 259*y as n + a*y and give a. -259 Rearrange (-3*d + 56321 - 56355 + 10*d)*(0 - 1 + 4) to l + w*d and give w. 21 Rearrange -5069*s**3 + 2535*s**3 + 2*s**2 - 3 + 2533*s**3 - 46*s - 2*s**4 to the form i + c*s**2 + d*s**3 + m*s + b*s**4 and give c. 2 Express -2*t + 312*t**2 + 52 - 7 - 10 - 30 as b*t**2 + i*t + f and give i. -2 Express 0*r**3 + 0*r**3 + 12 + 34747*r - r**3 - 34757*r as a*r + t + m*r**3 + l*r**2 and give m. -1 Rearrange -x**2 - x**2 + x - 43291 + 43202 to u*x + p*x**2 + j and give p. -2 Rearrange -6*z**3 + 0*z**3 + 2*z**3 + (z**2 + 28*z**2 + 26*z**2)*(3*z - 10*z + 0*z) + z**3 + 5*z**3 - 4*z**3 to the form o*z**2 + t + l*z + i*z**3 and give o. 0 Rearrange 4527*f + f**2 + 3467 - 4507*f - 3073 to x*f**2 + r + c*f and give x. 1 Express (-2 + 47*r**2 - 52*r**2 + 0)*((4 + 3 - 5)*(2 - 3 + 0) + 7 - 3 + 5 + (0 + 5 - 3)*(-1 - 1 + 1)) in the form n + s*r**2 + j*r and give s. -25 Express -153 - 156 - 148 + 612 - 154 - 216*j in the form a + n*j and give n. -216 Rearrange -5660 + 5660 + 979*b + (-3 + 3 - 4)*(2 - b - 2) to o*b + l and give o. 983 Express -7067*y - 6528*y + 7*y - 234*y in the form m*y + l and give m. -13822 Rearrange 6066*z**2 + 4189*z**2 + 2173*z**2 - 4084*z**2 + (2*z + 2 - 2)*(6*z - 3*z - 4*z) to n*z + y + j*z**2 and give j. 8342 Rearrange -2 - 61*o**3 + 15*o**3 - 1906 + 48*o**3 to the form x*o**3 + t + p*o + f*o**2 and give t. -1908 Rearrange 7*u - 1318*u**2 - u**3 + 1318*u**2 + (-4*u - u - 4*u)*(-3*u**2 + u**2 - 3*u**2) to y*u**3 + r*u + w*u**2 + f and give r. 7 Rearrange (-345 + 2557 + 488)*(-4 + 3 - 1)*(4*t - t - 2*t) to v*t + x and give v. -5400 Express (5*f**3 - 2*f**3 - 10*f**3)*(-55*f - 71*f - 4*f) + 4*f**4 - 104*f**2 + 104*f**2 in the form t + j*f**2 + v*f**4 + u*f**3 + y*f and give u. 0 Express (-3*d - d + 2*d)*(-25327 - 28946 + 47425) as x*d + m and give x. 13696 Express 157*i - 36*i + 290*i + 246*i + 152*i in the form n + y*i and give y. 809 Express (2*l**2 - l**2 - 6*l**2)*(-2 - 3 + 6)*(-5 + 1 + 3) - 211*l**2 + 47*l**2 - 45*l**2 in the form z*l + k + x*l**2 and give x. -204 Express (1009 - 403*y - 2015 + 995)*(-2*y**2 + y**2 + 2*y**2) - 5*y**3 + 4*y**3 - y**3 in the form n*y**2 + c + z*y**3 + l*y and give n. -11 Rearrange 19*o + 1507 + 232 - 66*o + 22*o + 26*o to the form z*o + h and give z. 1 Express 193*d**4 - 2*d**2 - 13*d - 277*d**4 - 44 + 79*d**4 - 4 as p*d + o*d**2 + z*d**3 + f*d**4 + i and give o. -2 Express -44*u**2 + 3*u**3 - 85 + 8*u + 171 + u - 88 - 7*u in the form h*u + c*u**2 + t + r*u**3 and give r. 3 Rearrange 419*c**2 - 3*c + 3*c - 5*c**4 + 4 + 3*c**3 - 420*c**2 to the form j*c**3 + t*c**4 + y*c**2 + f + d*c and give t. -5 Rearrange -2579*h - 1223*h - 1104*h - 457*h - 1694*h + (2*h - 6*h + 5*h)*(1 + 1 + 0) to the form p*h + j and give p. -7055 Rearrange (226*o**3 - 332*o + 332*o)*((19 - 4 - 1)*(-5 + 3 + 1) + 1 + 5 - 3) to the form k*o**2 + y*o**3 + f + x*o and give y. -2486 Rearrange (2*o**2 + 125 - 125)*(1406 - 1406 + 71*o) + (o**2 + 5*o**2 - 2*o**2)*(0 - 2*o + 0) to the form r*o**2 + d + b*o**3 + c*o and give b. 134 Rearrange -88 + 277*v**3 + 272*v**3 + v**2 - 18 - 821*v**3 + 2*v + 271*v**3 to f*v**3 + u + r*v + l*v**2 and give r. 2 Express (20 - 4457*j - 13776*j - 46502*j - 34 + 14)*(-2*j**3 + 3*j**3 + j**3) as b*j**4 + t*j**2 + i + h*j + q*j**3 and give b. -129470 Rearrange 2*h + 124 + 5*h**2 - 103 + 196 - 5*h**2 - 2*h**3 to the form k*h**2 + t*h + o + f*h**3 and give o. 217 Express (-2 + 1 - 8)*(2*l - 5*l + 0*l)*(-3 + 3 + 4) in the form m*l + o and give m. 108 Express -166*o**2 + 3*o - 42*o - 4*o + 2*o + 40*o - 3 as x*o**2 + i + s*o and give x. -166 Rearrange (-1745 + 876 + 21*l + 878)*(2*l - 4*l + 0*l + (l - l + 2*l)*(-3 - 4 + 5)) to the form g*l**2 + q*l + o and give g. -126 Express ((8 + 2 - 1)*(0 - 2 + 7) + 5 - 12 - 14)*(3*f**2 - f**2 + f**2) as s*f + v + k*f**2 and give k. 72 Express -6 + f**3 - 2*f + 506*f**2 + f + 4 in the form x*f**2 + o + c*f**3 + n*f and give o. -2 Rearrange -265 + 1018 - 260 - 1413*f - 237 - 260 to w*f + h and give h. -4 Rearrange -936*p**3 - 2 + 550*p**4 + 1877*p**3 - 2*p - 938*p**3 to the form h*p**4 + n + f*p + o*p**3 + u*p**2 and give f. -2 Rearrange 64*v**3 - 10*v**3 + 63*v**3 + (2*v - v + 0*v)*(v**2 + 3*v**2 - 6*v**2) - 63*v**3 - 104*v**3 + 83*v**3 to c*v**2 + q*v + h*v**3 + l and give h. 31 Rearrange x**3 - x**2 + x**2 + (-5 + 4 - 1)*(32 - 32 + 41*x)*(-
{ "pile_set_name": "DM Mathematics" }
Let s = i - p. Is s a composite number? False Let v be (14/(-42))/(1/9). Let x be v*3/(-18)*2. Is 0 - -1 - x - -139 prime? True Let b = 44 - 37. Suppose b*u - 1348 = 3*u. Is u composite? False Let d be -11 - 3/((-6)/2). Let a = -4 - d. Let g(w) = w**3 - 2*w**2 - 3*w - 3. Is g(a) a composite number? True Let t be (3/(-2))/((-19)/38). Let g(a) = 21*a**2 + a + 2 + 4 - 7. Is g(t) a prime number? True Let v = 69 + -116. Suppose -z = -3*r - 0*z + 511, 5*r - z - 851 = 0. Let h = v + r. Is h composite? True Let q(w) = 2*w**3 + 2*w**2 - 10*w + 1. Is q(25) a composite number? False Suppose -x + 0*x + 2 = 0. Suppose -2*y = -x*r + 7876, 0*r - 4*y - 11809 = -3*r. Is r a prime number? True Let h = 12 + -12. Suppose y - 1 - 1 = h. Suppose -k = -g + 331, y*g + 6*k = 2*k + 686. Is g prime? False Suppose g + j + 53 + 28 = 0, 0 = -g - 5*j - 93. Let q be 12/3*(-230)/(-8). Let b = g + q. Is b a prime number? True Suppose -3*x + 2*l + 5 = -32, -4*l = 3*x - 7. Suppose 5*b - 7 = 4*c, -5*c + x = -1. Suppose -f = j - 141, b*f - 283 + 3 = -2*j. Is j a prime number? False Let l = 53 + -75. Let d = l - -27. Suppose 0*q + q + 1 = 0, 4*t - 1297 = d*q. Is t prime? False Let i(a) = -14*a**3 - 4*a**2 + 17*a + 27. Is i(-8) a prime number? True Suppose 0 = 5*t + 2*a - 31, -1 + 2 = -t + 2*a. Suppose 794 = -q + 4*q + t*h, -5*q + 5*h + 1310 = 0. Is q prime? True Suppose 2*b = -4*v - 4, 5*b + 5*v = -4 + 14. Let u be -2 + -1 - (b - 6). Is (-1 + 0)*(u - 16) a prime number? True Suppose 2822 + 3249 = n - 3*t, 3*n + 5*t = 18185. Is n a prime number? False Let y be (-2 - 27/(-12))*452. Suppose 3*n + 2*n + 2*z = 210, 5*z + y = 2*n. Suppose -3*o - 89 = -2*i + n, -i - o = -54. Is i a prime number? True Let n be 11 - (-6 + 13) - (0 - -4). Suppose 33*q - 29*q - 6052 = n. Is q prime? False Let v = -6925 + 14694. Is v composite? True Suppose -2*j = -k - 20, -3*k - 18 = -3*j + 9. Let x = -6 + j. Suppose 84 = -n + 3*q + 238, -824 = -x*n - 3*q. Is n a prime number? True Let k be ((-24)/(-2) + -2)*(-2)/(-1). Suppose k = -5*a, -2*c + 0*a + 126 = 2*a. Is c a prime number? True Suppose -6*g + 2*g - 16 = 0. Let x be 666*(-3)/(g - -1). Suppose z - o - 233 = 96, -2*o = 2*z - x. Is z a prime number? True Let a(x) = 3*x + 6. Let u be a(-7). Is (u/(-12))/5 + 5030/8 composite? True Suppose -8 - 16 = -3*x. Let m be 12/3*554/x. Suppose -4*r + 2*g + 206 = 0, 6*g - m = -5*r + 2*g. Is r composite? False Let d(y) = 30*y**2 - 4*y + 41. Is d(9) prime? False Let a(l) = 35*l. Let c be a(3). Suppose 5*k + c = 370. Is k prime? True Let y = 95 + -85. Is (-6)/(-15) - (-6)/y*371 a composite number? False Is (-1 + 3)/(3/6) - -1573 composite? True Let m(c) = 122*c + 123. Is m(7) a composite number? False Let m = 5366 + -2339. Is m a composite number? True Suppose -6*z + 1444 = q + 165, 3803 = 3*q + z. Is q a prime number? False Let s be (-2)/(-4)*(-3417 + (2 - 1)). Let t = 2615 + s. Is t a composite number? False Let w(g) = -153*g - 8 + 41*g - 168*g - 28. Let z(c) = -93*c - 12. Let t(p) = 2*w(p) - 7*z(p). Is t(5) prime? True Suppose 2 + 6 = 4*r. Let t(l) = 0*l**r - 4*l**3 - 2 - l - 3*l**2 + 1. Is t(-4) prime? True Let t(g) = -3*g**3 + 7*g**2 + 4*g + 10. Let d be t(-5). Let f = d - 61. Is f composite? False Let n(t) = 3*t**3 + 14*t**2 - 34*t + 73. Is n(16) a composite number? False Let o be 86/18 + (-4)/(-18). Suppose -4*j = -0*j + o*s - 26, 18 = 3*j + 3*s. Let n(f) = 13*f**2 - 3. Is n(j) a composite number? True Let y = 2 + 3. Suppose -u + q - 247 + 1055 = 0, -y*u - 3*q = -4016. Suppose 0 = -2*g - 3*g + u. Is g prime? False Let w = -2231 - -4840. Is w composite? False Let q = -11 - -3. Is q/28 - 12249/(-21) composite? True Suppose 0 = 5*z - 2*s - 62347, -11*z + 3*s - 12483 = -12*z. Is z composite? True Suppose 4*p + 3*k = 34031 - 3123, 4*k = 0. Is p a composite number? False Suppose -796*x - 123295 = -801*x. Is x composite? False Let l(s) = -s**2 + 16*s + 3. Let o be l(16). Suppose -o*w - 596 = -7*w. Is w prime? True Let l(g) = 1037*g**2 + 7*g + 19. Is l(-2) prime? True Suppose -2 = -p - 4. Let s(r) be the third derivative of r**5/6 + r**4/24 + r**3/6 - 2*r**2. Is s(p) a prime number? False Let j(z) = 8370*z - 169. Is j(10) a prime number? False Let a(u) = 21*u**2 - 5*u - 2. Let s be a(5). Suppose 2*q - 212 = s. Is q prime? False Let c = -39 - -111. Let y = -209 - -174. Let j = y + c. Is j a prime number? True Let f(j) = 25*j**2 + 10*j + 8. Suppose t - b = 7, 5*t + b - 23 = -0*t. Is f(t) a prime number? True Let n = -22 + 23. Let x(t) = 674*t**2 + t - 2. Is x(n) a composite number? False Suppose 3512 = -4*z - 4*z. Let d = -165 - z. Is d a prime number? False Suppose 0 = -21*o + 35101 + 19730. Is o a prime number? False Let q = 18243 - 9070. Is q a prime number? True Suppose 0 = h, -w + h + 1 - 2 = 0. Let t be w/(-1)*-1*-5. Suppose t*m + k - 1058 = 0, 877 = 3*m - 3*k + 253. Is m a prime number? True Let a be (-77)/22*(-3 + 1). Let l(n) = -9*n**2 - 11*n - 9. Let k(c) = 19*c**2 + 23*c + 17. Let b(s) = -4*k(s) - 9*l(s). Is b(a) composite? False Is 1/(-8 + (-37865)/(-4733)) a composite number? False Is -6 + 21 - -988 - -1*6 composite? False Let y(m) = m + 3. Let t be y(-1). Suppose -2*a + 2*u = -38, a + 2*u - 17 = 4*u. Suppose -25 - a = -t*d. Is d a composite number? False Suppose -4*o + 67476 = -5*r, 9*o + 3*r = 5*o + 67476. Is o prime? False Let u be -86 + (-8 - (-12)/3). Let r = 175 + u. Is r a composite number? True Suppose 0 = -20*p + 27*p - 18949. Is p a prime number? True Suppose 1071 = 2*a - 229. Suppose 3*g = 5*n - 1627, 2*n + 0*n - a = g. Is n a composite number? True Suppose -2*i + 7*i = 425. Suppose m = 3*v + i + 103, -4*m + 4*v = -792. Is m a prime number? False Let k = -110332 - -268775. Is k a prime number? True Suppose -2*s - 497 = 5*s. Let r = s + 202. Is r a composite number? False Let j = 15224 - 10581. Is j a prime number? True Let j = -12822 + 22725. Is j a prime number? False Let x(t) = 1474*t**3 - 1. Let h be x(-1). Let s = -214 - h. Is s a prime number? False Let u be 4 - (-3)/(1 + 2). Suppose 0 = -u*b - b + 18. Is 94*b/(-4 + 10) prime? True Suppose -u = -3*o - 3*u - 31, -3*o = 5*u + 46. Let l = -3 - o. Is (6/l)/((-21)/(-476)) prime? False Let t(n) = 292*n**2 + 2*n - 2. Let z be (-204)/(-30) + (-12)/15. Let u(f) = -292*f**2 - 3*f + 2. Let q(m) = z*t(m) + 5*u(m). Is q(-1) a composite number? False Let l(x) = -x**3 - 10*x**2 - x + 1. Let i be l(-10). Let u be (-10 + i)/((-2)/(-34)). Let k = u - -80. Is k composite? False Suppose -5*c = 5*t - 2*t - 181, -179 = -3*t - 4*c. Let d(q) = -2*q - 2. Let y be d(-8). Let x = t - y. Is x a prime number? True Let b be (13 - 11)/((-2)/(-5)). Suppose 5*s - 2136 = 3*u, 3*u - u - 422 = -s. Suppose h + h = -b*o + 1023, -5*h + s = 2*o. Is o prime? False Let f(a) = -979*a - 549. Is f(-52) a composite number? False Is ((-22)/10)/((-4)/49960*2) composite? True Suppose 0 = 49*j - 45*j - 167556. Is j composite? True Suppose 0 = -3*y - 0 + 3. Let r be 0 - y/(3/(-4440)). Suppose -3*o + r = o - 4*d, 4*o = -d + 1455. Is o prime? False Let o be (422/5)/(34/85). Let p = -122 + o. Suppose p = 3*k - 562. Is k prime? False Suppose -b + 1250 = -6*b. Suppose 5*z = -1202 + 387. Let j = z - b. Is j composite? True Is 199101/76*8/6 a prime number? False Suppose 18*z - 21*z = 0. Suppose z = 3*h + 188 - 935. Is h prime? False Suppose -2*b + 7*b = 4*z + 13543, -10818 = -4*b - 5*z. Is b a prime number? True Suppose 4*u + 4*t = 2*t + 18, 5*u - 4*t - 42 = 0. Suppose -3*h + 10 = 2*q, -5*q + h = -u - 2. Is (q/(-8))/(9/(-2988)) composite? False Suppose 3*f + 4*u = 423, 2*f + 7*u - 4*u = 282. Let h = f - 74. Is h a composite number? False Let o be -3 + 38/7 - (-12)/21. Suppose 2*x - 7*x = -15. Is x - (-199 + o + -4) prime? False Let c = -38 - -40. Let l(o) = -57*o**2 + 6*o - 1. Let n(q) = -56*q**2 + 5*q - 1. Let t(g) = 2*l(g) - 3*n(g). Is t(c) a prime number? True Suppose -5*g + 5*l + 51975 = 0, -2*l + 5*l = 2*g - 20794. Is g prime? True Let n(d) = -d + 5. Let x be n(-3). Let b(c) = -19*c**2 + 3 + 10*c**2 + 11*c**2 - x*c**3. Is b(-3) a prime number? False Suppose -5*j + 755 = -0*j. Suppose 5*g = -p + j, -2*p + 98 = 4*g - 216. Is p a composite number? True Let s(n) = -n**3 - 9*n**2 - 10*n - 10. Let x be s(-7). Let k = 48 + x. Is k a prime number? False Let q(w) = -w**2 - w + 1. Let t(g) = 5*g**2 + 2
{ "pile_set_name": "DM Mathematics" }
qrt(3520)) - sqrt(3520))/(sqrt(55)/((-1*sqrt(55))/sqrt(5))). -32*sqrt(11) Simplify -2 + ((-2*sqrt(192) - sqrt(192) - sqrt(192) - sqrt(3)) + 0 + sqrt(192))**2 + 5 + 5. 1883 Simplify 5 + (4*(sqrt(704) + 4) - ((sqrt(704) + 0)*6 + sqrt(704)))**2. -768*sqrt(11) + 6597 Simplify 6*(((sqrt(119)*-4 + sqrt(119))*5)/sqrt(7) + 2*sqrt(425) + 3)**2. -180*sqrt(17) + 2604 Simplify (sqrt(130)/(sqrt(40)/sqrt(4))*6)**2 + (1 + sqrt(1872) - sqrt(1053)*1)**2. 6*sqrt(13) + 586 Simplify 0 + (sqrt(2448) + 3 + sqrt(2448) + -2 + sqrt(2448) + (sqrt(2448) - (3*sqrt(2448) + -1 + sqrt(2448))) + 0)**2. 4 Simplify (5*sqrt(80)/sqrt(4)*4)/(sqrt(1936)*1 - sqrt(16)). sqrt(5) Simplify 6*sqrt(65)/(sqrt(35)/(sqrt(7)*-1)) - (-1 + ((sqrt(13) + -1)*2)**2*1). -55 + 2*sqrt(13) Simplify (sqrt(2448)*1 - sqrt(2448) - sqrt(17))**2 + sqrt(136)/(sqrt(16)/sqrt(2)) + -3*-3*sqrt(85)/sqrt(5). 17 + 10*sqrt(17) Simplify -2*(-2 + 2*sqrt(11) + sqrt(11)) + (sqrt(1100) - (sqrt(1100) - sqrt(1100)*2) - sqrt(1100))/sqrt(4). -sqrt(11) + 4 Simplify (sqrt(171) - -4*(sqrt(171)*-5 + sqrt(171) + sqrt(171) + sqrt(171)))/(sqrt(9) + 5*sqrt(9)*-4). 7*sqrt(19)/19 Simplify (2*(((-1*sqrt(76) - sqrt(76))*3 - ((sqrt(76) + sqrt(76)*2 - sqrt(76) - sqrt(76)) + -4)) + -2))**2. -224*sqrt(19) + 14912 Simplify (-4 + 6*sqrt(98)*1*-1)**2. 336*sqrt(2) + 3544 Simplify (sqrt(128)*2)**2*-5 - (sqrt(14)/(sqrt(7) - (sqrt(7) - -6*sqrt(21)/sqrt(3))))**2. -46081/18 Simplify 3 + (sqrt(50) + (sqrt(450) + -2*sqrt(450) + sqrt(450))**2)*6*3. 3 + 90*sqrt(2) Simplify (-5*(sqrt(78)*-2 + sqrt(78)) + 2*sqrt(78)*-5)/((sqrt(6) - (sqrt(6) - sqrt(12)/(1*sqrt(2)))) + (sqrt(960) + sqrt(60))/sqrt(10)) + -5. -5 - 5*sqrt(13)/6 Simplify 3 + (sqrt(11) - -1*sqrt(1584)) + (sqrt(176)/sqrt(4)*3 + sqrt(44))/sqrt(4). 3 + 17*sqrt(11) Simplify -1 + ((1 + sqrt(117))*-6 + 3*sqrt(117)*-4)**2. 648*sqrt(13) + 37943 Simplify ((sqrt(693) - (sqrt(693) + -6*(sqrt(693) - (sqrt(693)*-1 - sqrt(693))) + sqrt(693)))/sqrt(11))/(sqrt(27)/(-2*sqrt(3)*-1 - sqrt(3))). 17*sqrt(7) Simplify (5 + (-2 + -2 + sqrt(300) + 0)*1 + 2)**2. 60*sqrt(3) + 309 Simplify (sqrt(228)/(sqrt(132)/(sqrt(99) - sqrt(11))) + (6*-1*sqrt(190) + sqrt(190))/sqrt(10))**2. 171 Simplify -3 + -6*(-6*-2*-2*sqrt(17))**2 + 5. -58750 Simplify -4*((2*sqrt(5)*-2)**2*3 + -1). -956 Simplify (sqrt(6)/sqrt(2))**2 + 4 + 4 - sqrt(15)/(sqrt(5)*-2*3). sqrt(3)/6 + 11 Simplify (-4*((sqrt(1008) + 0 - sqrt(7)) + 1 + -3)*5)**2. -17600*sqrt(7) + 340400 Simplify (-1*6*(2 + sqrt(1088) + sqrt(1088)) + -5 + -3)**2. 3840*sqrt(17) + 157072 Simplify (sqrt(189)/sqrt(3))/sqrt(9) + 4 - 6*(sqrt(112) + -1)**2. -674 + 49*sqrt(7) Simplify ((sqrt(343) - (1 + sqrt(343))*-1) + (sqrt(28)/sqrt(4) + 2 - (-1*sqrt(70))/sqrt(10)) + 0)**2. 96*sqrt(7) + 1801 Simplify ((sqrt(171) - (4 + sqrt(171) + -5)) + sqrt(171) + sqrt(171) + sqrt(171) + (1 + sqrt(171))*2 + sqrt(171) + 5)**2. 288*sqrt(19) + 6220 Simplify (2*(sqrt(2448)*-4 + sqrt(2448))*-1)**2*-4. -352512 Simplify 5*-2*sqrt(76) - -6*(-2 + -2 + sqrt(19)). -14*sqrt(19) - 24 Simplify (5*(5*sqrt(38)/sqrt(2) + sqrt(95)/sqrt(20) + 1*(0 + sqrt(76) - sqrt(76))))**2. 57475/4 Simplify (2*4*sqrt(78)*4)/(1*(sqrt(6) + sqrt(726) + 3*sqrt(726) + sqrt(726) - sqrt(6))). 32*sqrt(13)/55 Simplify (-1*sqrt(28))**2 - sqrt(7)*2*5 - 1*sqrt(847)*-2. 28 + 12*sqrt(7) Simplify ((sqrt(7) - (sqrt(175) + -4) - (sqrt(28) + 0)**2) + -2)*-2. 8*sqrt(7) + 52 Simplify (((3*sqrt(99) + sqrt(99))*2*-2)/(-5*sqrt(36)*1))**2. 704/25 Simplify (1 + 1*sqrt(6480) + (sqrt(540)/(sqrt(12)*-1) - (sqrt(2880) - (sqrt(2880) + 1))))**2. 132*sqrt(5) + 5449 Simplify (sqrt(104) - (sqrt(104) + 4*(sqrt(104) - sqrt(104)*3)))/(2*sqrt(800))*5. 2*sqrt(13) Simplify (-1 + ((sqrt(70) - sqrt(70)*-2)/sqrt(7) + sqrt(10))/((sqrt(40)/sqrt(4))/sqrt(2)))*-1. -4*sqrt(2) + 1 Simplify (1*((sqrt(396) - sqrt(396)*-1) + -5 + -4 + -4))**2. -312*sqrt(11) + 1753 Simplify -4*(((-2*sqrt(968))**2 - (sqrt(8) - 4*sqrt(32))) + 2). -15496 - 56*sqrt(2) Simplify ((-5*(sqrt(190)/sqrt(10) - sqrt(19)) - sqrt(95)/(sqrt(5)*-2)) + -1)**2. -sqrt(19) + 23/4 Simplify (sqrt(126)/(sqrt(9)*-1) + (-2*sqrt(1400) - sqrt(1400)) + sqrt(1400))/((sqrt(7)*-3 + sqrt(7))*-4*-6). 7*sqrt(2)/16 Simplify 0 + (sqrt(8)/(sqrt(252)/sqrt(7)))**2 + -4. -34/9 Simplify (-2 + 3 + sqrt(153))*-2 + 2. -6*sqrt(17) Simplify ((sqrt(190) + 6*2*sqrt(190) - sqrt(190))*6)/(sqrt(160) - 2*sqrt(160)*1 - sqrt(160) - sqrt(160)). -6*sqrt(19) Simplify 0 + (6*(sqrt(2299) + -1) - sqrt(2299) - sqrt(2299) - sqrt(2299))**2 + (sqrt(2299) - sqrt(2299)*1*4)*3. -495*sqrt(19) + 20727 Simplify 3 + 5 + (6*6*sqrt(12)/sqrt(6)*-4)**2. 41480 Simplify ((sqrt(320) + 1 + 2 - sqrt(320)) + -5 + sqrt(320)*-1 + sqrt(320) + sqrt(320) + sqrt(320)*-1 + 5 + 2)**2. 25 Simplify ((sqrt(425) - (sqrt(425) + (sqrt(425) - (-2*sqrt(425) + 3)))) + 5 + sqrt(425)*-2)**2 - (-1 + sqrt(68) + 0 + (sqrt(68) - (2 + -1 + sqrt(68))))**2. -392*sqrt(17) + 10617 Simplify (sqrt(70) + sqrt(70) + (sqrt(70) - (sqrt(70) - (-2*sqrt(70) + sqrt(70)))*3) + sqrt(70))/(sqrt(20)/sqrt(32)) + -2 + (sqrt(21)/(-4*sqrt(6)/sqrt(2)))**2. -8*sqrt(7) - 25/16 Simplify (2*sqrt(396))**2 + -4 - sqrt(77)/((sqrt(84)/sqrt(4))/sqrt(3)). -sqrt(11) + 1580 Simplify (2 + (-2 + -1*sqrt(1300) - -1*sqrt(1300)*3))**2 + 5. 5205 Simplify (-3*sqrt(27)*1*6)/(sqrt(27)/sqrt(48) - -4*sqrt(144)). -72*sqrt(3)/65 Simplify (-4 + -3*(sqrt(13) + -1)*5)**2 + (5 + sqrt(637)*2 + sqrt(637) + 3)**2. 6*sqrt(13) + 8843 Simplify (3*-3*sqrt(36))/(sqrt(36)/(sqrt(3) + sqrt(9)/sqrt(3))) + 1. -18*sqrt(3) + 1 Simplify (-2*sqrt(136) + sqrt(136) + sqrt(136))/(3*sqrt(8) + sqrt(8)). 0 Simplify -4 + (sqrt(343) + sqrt(343) + -1)*2 + (sqrt(7) + (-1 + sqrt(1008) + sqrt(1008))**2 - (-4*sqrt(35)/sqrt(5) - sqrt(7))). -14*sqrt(7) + 4027 Simplify 3*(((-1 + sqrt(17))*-1 - sqrt(17)) + (sqrt(2448) + -2)**2 + -3). -150*sqrt(17) + 7350 Simplify (-5*(3*sqrt(5) + 4) - (1 + (3*sqrt(25)/sqrt(5) - sqrt(5))))**2. 714*sqrt(5) + 1886 Simplify -3 + (sqrt(24)*-1)/sqrt(12) + (sqrt(16)*-4)/sqrt(8) + 3. -5*sqrt(2) Simplify (1*sqrt(2268) - (sqrt(28) - sqrt(196)/(sqrt(28)/sqrt(4) + sqrt(7))))/(-3*sqrt(36)/(-3*sqrt(9))). 17*sqrt(7)/2 Simplify 6*(-2*sqrt(1872) + -1)*-2*1. 12 + 288*sqrt(13) Simplify 3 + (sqrt(209) + (sqrt(209) - -4*sqrt(209)*4))/(sqrt(11) + sqrt(11) + sqrt(121)/(sqrt(77)/sqrt(7))). 3 + 6*sqrt(19) Simplify -6*((sqrt(75) - 1*(1*sqrt(75) - sqrt(75))) + sqrt(75)) - (1*-1*(sqrt(75) - (-1 + sqrt(75))))**2. -60*sqrt(3) - 1 Simplify sqrt(48)*-4*3 + sqrt(3) + (sqrt(54)/sqrt(3))/sqrt(6) + sqrt(21)/(sqrt(7) + sqrt(63)). -183*sqrt(3)/4 Simplify (sqrt(18)*-2*-5)/(sqrt(6) + sqrt(594)/sqrt(11)). 5*sqrt(3)/2 Simplify ((4*(sqrt(13) + -1) - sqrt(1872)*2) + 4*(sqrt(1300) - (2 + sqrt(1300))))**2. 480*sqrt(13) + 5344 Simplify (3 + -2 + (sqrt(1584) - (0 + sqrt(1584) + sqrt(1584))) + sqrt(1584))**2. 1 Simplify -2*(3 + sqrt(52)) + ((sqrt(26)*-1)/sqrt(2))**2 + sqrt(104)/sqrt(2) + sqrt(52). 7 Simplify (sqrt(42)/(sqrt(7) + (sqrt(175) - sqrt(7))*-4))/(sqrt(147)*-1*-1). -sqrt(2)/105 Simplify 6*((sqrt(8) + -1)*6 + (sqrt(22) + sqrt(66)/sqrt(3))/sqrt(11) + (2 + sqrt(2) + 0 + sqrt(2))**2). 36 + 132*sqrt(2) Simplify (0 + sqrt(19) + 3 + sqrt(19) + 3 + 2*(1 + sqrt(19)) + (sqrt(114)*-2)/sqrt(6))**2. 32*sqrt(19) + 140 Simplify ((sqrt(208)*4)/sqrt(4))/(sqrt(16)/sqrt(4)*5). 4*sqrt(13)/5 Simplify (((sqrt(540) + -1*sqrt(540) + sqrt(540) + sqrt(540))/sqrt(9)*1)/((sqrt(12) - (sqrt(108)*-2 + sqrt(108))) + sqrt(1200)*-1)*-4)**2. 80/9 Simplify ((sqrt(14) - sqrt(504)*-1)/(2*sqrt(2)*-2))**2 + (sqrt(42) - (-1*sqrt(84))/sqrt(2))/(1*sqrt(54)). 2*sqrt(7)/3 + 343/16 Simplify ((4*sqrt(312))/sqrt(12))/(6*(sqrt(2) - (sqrt(2) + sqrt(2)*-5))). 2*sqrt(13)/15 Simplify ((3 + sqrt(425))*-4*3 - -2*6*sqrt(425)*1)**2. 1296 Simplify ((1 + (1*sqrt(24))/sqrt(8) + sqrt(48) + -5)*4 + -1)*4. -68 + 80*sqrt(3) Simplify (sqrt(1008) + -1 + -5 - sqrt(1008)) + ((sqrt(1008) + 1)*-6)**2 - (-2 + sqrt(1008) + -4*sqrt(1008)*2). 948*sqrt(7) + 36320 Simplify -2 + 3 + 0 + (sqrt(11) + sqrt(55)/sqrt(5) + sqrt(11) - sqrt(11)) + sqrt(132)/(sqrt(12)*2). 1 + 5*sqrt(11)/2 Simplify -2 + (sqrt(192)*-3 - sqrt(192)) + (sqrt(192) + -4)*2 + -5. -16*sqrt(3) - 15 Simplify ((sqrt(70) + (sqrt(70) + sqrt(70)*-2 - sqrt(70)))*-4 + sqrt(70))/(sqrt(90)/(sqrt(36)/sqrt(4) + sqrt(9))) + sqrt(63)/sqrt(81) + 6*sqrt(35)/sqrt(5). 49*sqrt(7)/3 Simplify (sqrt(27)*2*-5*6)/(sqrt(27)/(sqrt(12) +
{ "pile_set_name": "DM Mathematics" }
10. Does 3 divide r? False Let i = -2 + 4. Let l be (186 - i)/2 - -2. Suppose -4*r = 8, 3*r = -4*u + 84 + l. Is 17 a factor of u? False Let d(s) = s**2 + 11*s + 14. Let m be d(-10). Suppose -k - 5*f - 11 = 0, 4*f - 6 = -m*k + 30. Is 5 a factor of k? False Let m = 11 - 11. Suppose o = -2*o + 39. Suppose 2*u - 39 + o = m. Is 9 a factor of u? False Suppose 2*c + 3 = g, -2*c - 5 = g + 12. Let y = g - -12. Is y a multiple of 5? True Let s be 3 + 8*(3 - 4). Let n = s - -47. Does 16 divide n? False Suppose 0 = 11*z - 4*z - 1085. Is 27 a factor of z? False Let g be 2 + -3*2/3. Suppose g = 3*v - 5*z - 1 - 28, -5*z = 20. Suppose v*y + 44 = 5*y. Is y a multiple of 11? True Let b(t) = 2*t - 2. Is 8 a factor of b(13)? True Let f be (-80)/12*12/10. Let q(p) = -p - 4. Is 2 a factor of q(f)? True Let y be 8*-1 - (2 - 2). Let s = 10 - y. Is 6 a factor of s? True Let s = 180 + -6. Is 29 a factor of s? True Let x(d) = -d**3 - 5*d**2 - 8*d - 4. Is x(-6) a multiple of 10? True Let r(b) = b**3 - b**2 - b - 2. Let w be r(0). Is 13 a factor of w/((2/39)/(-1))? True Let c be (-20)/(-6)*(-2 - 1). Does 22 divide 888/20 - (-4)/c? True Let t = 5 + -1. Let p(h) = 4*h - 2. Is 7 a factor of p(t)? True Suppose -3*s + 7 = -23. Does 5 divide s? True Is 23 a factor of 274/4 - (-19)/38? True Let f(r) = -r**2 + 7*r + 10. Let t be f(8). Suppose 4 - 2 = -t*b. Is 3 + b + 0 + 15 a multiple of 11? False Let i be (-460)/5*(1 - 2). Suppose 5*u + 5*m - 100 = 0, 2*u - 5*m = -u + i. Is 12 a factor of u? True Suppose b - 3*g = 2*b - 63, 4*g = -b + 60. Does 12 divide b? True Let a(d) = -3*d - 3. Is a(-3) a multiple of 5? False Suppose -3 - 16 = k. Let m = k - -31. Does 7 divide m? False Let y(i) = -i**3 + 8*i**2 - 3*i - 2. Let t(n) = -n + 11. Let g be t(5). Let f be y(g). Suppose -7*v + f = -3*v. Is 13 a factor of v? True Let i be ((-70)/(-3))/(4/(-12)). Let b = i - -100. Does 10 divide b? True Let l = 2 + 0. Suppose l*u = -u + 33. Is 4 a factor of u? False Suppose m - 8 = t - 0*t, -3*t + 3 = 0. Suppose 5*a = 1 + m. Suppose 3*s - 85 = -a*s. Does 6 divide s? False Suppose 60 = -2*o + 10. Let c = o - -38. Let g = -8 + c. Is g even? False Let j = -3 - -3. Suppose j = 3*o + 4*p + 150 - 8, o = 4*p - 58. Does 7 divide (6/5)/((-3)/o)? False Let o(f) = -f + 4. Suppose 4*r - 5*v - 5 = -20, -9 = -4*r - 3*v. Let a be o(r). Suppose 235 = a*u + 75. Does 18 divide u? False Suppose -2*j - 22 = 3*v, 2*v - 3*j = -37 + 5. Let o(g) = 7*g**2 + g - 4. Let u be o(-2). Let r = u + v. Is 9 a factor of r? False Let d(z) = 51*z**2 - z + 1. Is 8 a factor of d(1)? False Let z(d) = 4*d. Let w be z(3). Suppose -w = -2*h - 2*h. Is 3 a factor of h? True Let j(c) = -c**2 - 3*c + 4. Let o be j(-4). Let m be o - 3/((-9)/(-102)). Let s = m + 58. Is s a multiple of 20? False Suppose 2*n - 21 = r, -4*r + 9 - 49 = 3*n. Let y = 6 - r. Suppose -5*t + 5 = 0, 2*a - y = 4*t + 1. Is 11 a factor of a? False Let b(x) be the first derivative of -x**4/4 - 7*x**3/3 - 5*x**2/2 + 7*x - 2. Is 14 a factor of b(-7)? True Let f = 0 - -2. Let r = f + 1. Suppose 14 = -r*l + 35. Is l a multiple of 5? False Suppose -v - 5*l = -1, -5*v - 3*l = -5*l - 32. Is (-5)/(-15) + 118/v a multiple of 5? True Let u be -4 - 5*(-2)/(-5). Let f(x) = -x**2 - 9*x - 12. Does 6 divide f(u)? True Suppose -6*i + 45 = 2*m - i, 3*m + i - 61 = 0. Is 5 a factor of ((-45)/(-6))/(15/m)? True Suppose 0 = 5*g + 9 + 1. Is 30 a factor of (-1510)/(-25) + g/5? True Suppose 0*b + 2*b = 54. Suppose -v + l = 2*v + 7, -3*l = 3*v + b. Does 8 divide (v/10)/((-3)/75)? False Let v(m) = -2*m - 6. Let s(f) = 1. Let o(x) = -6*s(x) - v(x). Is 7 a factor of o(7)? True Suppose -4*j + 17 + 3 = 0, 51 = 2*u - j. Is u a multiple of 14? True Let f = -13 + 27. Suppose -4*x - 6 = 2*v - f, v - 3*x = 19. Is v a multiple of 5? True Suppose -12*m + 622 + 122 = 0. Let c be -52*(-2)/(0 + -4). Let x = c + m. Is x a multiple of 12? True Let r = 1 + 4. Suppose u + 106 = 4*u + 2*h, r*h - 153 = -4*u. Is u a multiple of 16? True Let v(y) = -4*y**3 + y**2 - y. Is v(-2) a multiple of 17? False Suppose -7 = j - 4*y, 2*j = y - 5*y + 22. Let f be j - 13 - 2/1. Let p = 24 + f. Is 7 a factor of p? True Let a(r) = -24*r + 3. Let x be a(-3). Suppose f = -f - 8, 3*z = -3*f + x. Is z a multiple of 10? False Let m(l) = -10 + 1 - 3*l + 10 + 13. Does 32 divide m(-6)? True Suppose -4*k = -7*k + 12. Suppose -k*r + f + 81 = -18, 15 = -5*f. Suppose r = 5*u - 2*u. Is u a multiple of 6? False Suppose 9*i - 9 = 6*i. Suppose 5*f = -3*x + 2*f + 72, -i*f + 124 = 5*x. Is x a multiple of 12? False Let u(y) = 2*y**2 - 2*y + 3. Suppose 0*w + 8 = 2*w. Suppose 0 = -w*s + 8 - 0. Does 7 divide u(s)? True Let c(p) = -6*p + 57. Is c(9) a multiple of 3? True Let l = -135 + 192. Is l a multiple of 3? True Is 29 a factor of (-4 - -4*19) + 1? False Suppose -v - 25 = -3*p, -p = -0*p + 3*v - 15. Suppose 4*m + 3 = -1. Let s = p - m. Is s a multiple of 5? True Suppose 20 = 5*p - 50. Suppose -x + 17 = a, 0*a - 2*x = -a + p. Is 16 a factor of a? True Does 8 divide ((-4)/(8/34))/(-1)? False Suppose -v - 3*v = -8. Suppose -v*f = -3*f + 6. Is 8 a factor of ((-16)/6)/((-2)/f)? True Is 21 a factor of (70/(-21) + -2)/(4/(-126))? True Suppose 10 = 4*n - x, 12 + 0 = 3*n - 3*x. Let d be (4 + -4)*n/4. Suppose -5*o = 5, 4*z - 5*o + o - 24 = d. Does 5 divide z? True Let c = -21 - -35. Is c a multiple of 7? True Let l be (-3 + (-6)/(-3))*-18. Suppose l = 2*w - 28. Does 11 divide w? False Let x(t) = t**2 + 7*t + 6. Let p be x(-6). Suppose p = m + 52 - 6. Let z = -5 - m. Does 15 divide z? False Let r(h) = 9*h - 1. Let q be r(2). Suppose -q = u + i, 4*u + i = -85 + 14. Is 12 a factor of 24/(3/(u/(-4)))? True Let v = -37 - -24. Let r = 48 + v. Is r a multiple of 12? False Let y = -32 + 46. Let a = -77 - -76. Let f = y - a. Is f a multiple of 15? True Let c be (26/(-8) - -2)*-4. Suppose -3*a - a = p - 14, c*a - 78 = -4*p. Let z = p + -5. Does 9 divide z? False Suppose 4*q = 2*q. Let v(d) = 0*d**2 + d**2 + 13 + q - 9*d. Does 13 divide v(9)? True Suppose -304 = -k + 3*k. Let b be k/(-12)*1*3. Suppose -2*n + b = 5*i, 3*n + n + 3*i - 90 = 0. Does 10 divide n? False Let n = 9 - 4. Let l(j) = -j + 11. Is 3 a factor of l(n)? True Let y(v) = 3*v - 4*v**3 - 3*v - 3*v - 2. Is y(-2) a multiple of 9? True Let p(u) be the third derivative of -u**4/24 + 10*u**3/3 + 5*u**2. Does 11 divide p(7)? False Suppose 2*o + 5 = 65. Let n = -18 + o. Is 12 a factor of n? True Suppose -13*n - 30 = -16*n. Is n a multiple of 10? True Let z(x) = 10*x - 4. Is 7 a factor of z(13)? True Suppose -3*k + 3*p = 0, 13 = 4*k + 3*p - 8. Does 7 divide 138/(-9)*k/(-2)? False Let s = 3 - 3. Suppose -u + 12 + 5 = s. Suppose -8 = -5*i + u. Is 5 a factor of i? True Let u(x) = x + 9. Let b be 1*-12*(-1)/(-2). Let s be u(b). Is 50/s + (-12)/18 a multiple of 8? True Let u be ((-3)/(-6))/(1/(-36)). Let f be (-544)/(-18) + 4/u. Suppose -f = -2*x + 2. Is 10 a factor of x? False Let j(p) = 0*p - 3 - 9*p + 5. Is j(-3) a multiple of 19? False Suppose 35 + 194 = 2*v + 5*i, 4*v - 2*i = 494. Is 16 a factor of v? False Let j = -14 + 15. Suppose -13 = -3*m - j. Is 4 a factor of m? True Let p(h) be the first derivative of 40*h**3/3 + h**2 - h - 4. Is p(1) a multiple of 17? False Let k(m) = m**3 + 4*m**2 - 4*m + 6. Let y be k(-5). Is 12 a factor of (-4 - -1) + y*63? True Let h(k) = k + 16. Let w be h(-10). Suppose -3*m = 5*r - 9, 2*m + r + 1 = -0*r. Does 3 divide 3/w*m - -4? True Let s = 195 + -97. Does 25 divide s? False Suppose 3*h + 6 = 0, 5*b - 148 + 33 = -5*h. Is b a multiple of 5? True Let v = 340 - 169. Does 19 divide v? True Let i = -155 - -56. Let a = 145 + i. Is 18 a factor of a? False Suppose o + 10 - 11 = 0. Is 10 a factor of (o - -2)/(3/40)? True Let l = 30 + -21. Is l/(-6) + (-231)/(-6) a multiple of 19? False Let q = 87 + -59. Does 14 divide q? True Suppose 0*m + 4*m - 77 = 5*w, 72 = 3*m + w. Is m a multiple of 13? False Suppose -2*l + 0*l + 280 = 0. Does 24 divide ((-18)/(-15))/(3/l)? False Suppose -1 + 3 = w. Suppose -w + 1 = -l. Does 11 divide l - 0 - 14*-2? False Let v = 9 - -15. Does 24 divide v? True Suppose -o - 4*d + 26 = 0, -5*o + 3*d - 40 = -170. Suppose 88 = 3*g - o. Is g a multiple of 18? False Let h be (-23)/7 + (-2)/(-7). Is 15 a factor of 20/h*(-1 - 2)? False Let o = 51 - 35. Suppose 3*j - 55 = -2*j. Let
{ "pile_set_name": "DM Mathematics" }
sest to -0.3 in 3, -0.1, -4? -0.1 Which is the nearest to 0? (a) -0.4 (b) -2 (c) 1/3 (d) 1 c What is the closest to 0.03 in -3, 0.3, -4? 0.3 What is the closest to -0.1 in 1/10, 3, 4, 1.1? 1/10 What is the closest to 12 in -6, -0.2, 0, 0.5? 0.5 Which is the closest to -8? (a) -0.03 (b) 0.2 (c) -1/5 c What is the closest to 0.2 in -6/31, -4, -1, 4/3? -6/31 What is the closest to -1 in 6/49, 0, 1/4, 1? 0 What is the closest to 1 in -0.5, -1/9, 7, -2? -1/9 What is the closest to -0.5 in 0.01, 1/5, -1/4, 0? -1/4 Which is the nearest to -13? (a) -5 (b) 6/5 (c) -1/3 a What is the nearest to 0.1 in -6/11, -0.07, 1/3? -0.07 Which is the nearest to 5? (a) -0.4 (b) 2/3 (c) 5 c What is the nearest to 1/3 in -0.4, -2, -4, 1/4? 1/4 What is the nearest to 0 in 10, -1, 2? -1 What is the nearest to 117 in 0.3, -0.3, 2? 2 What is the nearest to -3/5 in -1, 5, -5, -7? -1 Which is the nearest to -0.1? (a) 2/9 (b) -0.4 (c) -1/6 (d) -119 c Which is the closest to 1? (a) 31 (b) 0 (c) 2/3 (d) -1/2 c What is the closest to -2/17 in 5, -2/9, -2/7? -2/9 Which is the nearest to -810? (a) -5 (b) 5/3 (c) 0.5 a What is the nearest to 571 in -0.1, 3, -1? 3 Which is the nearest to -0.1? (a) -1 (b) 17 (c) -37 (d) -2/9 d Which is the closest to 0.3? (a) -91 (b) -2 (c) -2/9 c Which is the closest to -6? (a) -0.3 (b) 3 (c) 6 (d) -3 d Which is the closest to 0? (a) 1/8 (b) -0.4 (c) 6 (d) -13 a What is the nearest to -1/2 in -3, -1, 0.5, -2/9? -2/9 Which is the closest to 1/10? (a) 4 (b) -2/5 (c) 1.3 (d) 5 b Which is the nearest to 0.1? (a) -0.5 (b) -11 (c) 9 a Which is the closest to 23? (a) -4 (b) -3 (c) 0.1 c What is the closest to -1/2 in 0.5, -6, 0.01, 0.23? 0.01 What is the closest to -1 in 1, -14/15, 0.4, 0.8? -14/15 What is the nearest to 6 in 3, -2, 1, 0? 3 Which is the closest to -4.5? (a) -4/7 (b) -0.3 (c) 3 a Which is the closest to 1/5? (a) -10 (b) -3 (c) -119 (d) -1/6 d Which is the nearest to 0.09? (a) -2 (b) -3 (c) -0.3 c What is the nearest to 1/3 in 100, -2/13, -1/2, -2/9? -2/13 What is the closest to 0 in -5, -2/11, -2, 184? -2/11 What is the closest to 0.1 in 2/5, -0.1, -2, -1/4? -0.1 Which is the closest to 0? (a) -1 (b) -4 (c) -2/7 (d) 6 c What is the nearest to -12 in -0.3, -136, -1? -1 What is the nearest to 1 in 2/5, -2/5, 0.3? 2/5 Which is the closest to 2? (a) 4 (b) -298 (c) 0.4 (d) 1 d Which is the nearest to 0.067? (a) -4 (b) 0 (c) 0.2 b What is the nearest to 1 in -0.1, 1/6, 3/7, 2/3? 2/3 Which is the nearest to 1? (a) -23 (b) -2 (c) 5 (d) 2/3 d What is the nearest to -0.1 in 2/7441, -0.1, 0? -0.1 What is the closest to 0.2 in 1/4, 5/4, 0.031? 1/4 Which is the closest to 0.214? (a) -6/11 (b) -1/3 (c) 2/3 c What is the closest to -10 in 2, -23, 2/3, -0.5? -0.5 What is the closest to 3 in 1/4, -46, 1? 1 What is the nearest to 12 in 3, -1/6, 8/93? 3 What is the closest to 0 in 0.4, -5, 1, 1/20? 1/20 Which is the closest to -1/3? (a) 3 (b) 182 (c) -0.3 c Which is the closest to 2? (a) -5/2 (b) 0 (c) -2 (d) 3/17 d Which is the closest to 1? (a) -11 (b) -1 (c) 0.5 (d) -2 c Which is the closest to 14? (a) -3 (b) -1 (c) -0.5 (d) -0.3 d What is the closest to -105 in 0.2, 4, 0.1, 3? 0.1 Which is the nearest to 1? (a) -2/21 (b) -82 (c) -4/3 a What is the nearest to -7 in 0.5, 0, -0.4? -0.4 What is the nearest to -0.1 in -0.4, 15, -0.3, -8? -0.3 What is the closest to 2/3 in 0.6, 1/8, -4? 0.6 What is the nearest to 2/5 in 1, -2/5, 6, 3? 1 Which is the nearest to 9? (a) 0.5 (b) 4 (c) 118 (d) 1/7 b What is the nearest to 86 in -2/19, 0.4, -0.05, -3/8? 0.4 What is the nearest to 14 in 0, 0.4, 1? 1 What is the nearest to -1 in -2/13, 0.7, -5? -2/13 What is the closest to -0.2 in 3, -151, -3? -3 What is the nearest to -25 in 3/7, -0.3, 2, -3? -3 What is the closest to -1/3 in -0.29, -7, -3, -5? -0.29 Which is the nearest to 11? (a) -41 (b) -0.3 (c) -0.1 (d) 3 d Which is the nearest to -1? (a) 0.05 (b) -5 (c) 2 (d) 4/7 a Which is the nearest to 0? (a) 1 (b) 0.3 (c) 2/7 (d) 9 c Which is the closest to 1? (a) -3/4 (b) -6 (c) 1/103 c Which is the closest to 4? (a) -50 (b) 2 (c) 5 c Which is the nearest to -0.052? (a) 0.1 (b) -0.2 (c) -0.5 b What is the nearest to -4 in -8/7, -4, -0.4, -2/9? -4 Which is the nearest to -1? (a) 9 (b) 1 (c) -0.3 c What is the nearest to 2 in -3, 27, 0.2? 0.2 What is the closest to -0.1 in 2/51, -0.3, -0.1? -0.1 What is the nearest to -1 in -0.7, -20, -5, 4? -0.7 What is the closest to 1 in -3/7, 3, -13, 2/3? 2/3 What is the closest to 1/5 in 4, 3/23, 5? 3/23 Which is the nearest to 2? (a) 0.5 (b) -1 (c) 3 (d) -18 c What is the nearest to 0.1 in 8, -23, 0.5? 0.5 What is the closest to 2/3 in 2/195, 0.1, 3? 0.1 Which is the closest to 2/3? (a) -3/5 (b) 0 (c) -39 b Which is the nearest to -2? (a) 1/5 (b) 2/3 (c) 1 (d) -3 d Which is the nearest to -1? (a) -5 (b) -2/3 (c) -90 (d) -2/13 b Which is the nearest to 0.03? (a) 0 (b) -5 (c) 0.3 (d) -1/4 a What is the closest to -3 in 1/5, -10/9, 2/37? -10/9 Which is the closest to 0? (a) 2/11 (b) 3 (c) -18 (d) -5 a What is the nearest to -4/13 in 0, -4/5, 5? 0 Which is the nearest to 0? (a) 2 (b) 3 (c) -4 (d) 38 a Which is the closest to -2? (a) -0.2 (b) 3/4 (c) -0.06 a Which is the nearest to -15? (a) -5 (b) 1 (c) 4 a Which is the closest to 0.3? (a) 4 (b) 3 (c) 0.1 (d) 3/11 d Which is the nearest to 2/25? (a) -5 (b) 0.3 (c) 1 b Which is the nearest to 6? (a) 0 (b) 0.3 (c) 1 (d) 0.4 c Which is the closest to 0.4? (a) -18/11 (b) 0.5 (c) 1 b What is the closest to -0.1 in -0.5, -1.1, -3? -0.5 What is the nearest to 6 in -1, 0, -1.1, 1.4? 1.4 What is the nearest to 0 in -1, 0, 5, 2/25? 0 What is the nearest to -2/3 in -1/2, -12, -0.1? -1/2 Which is the nearest to -128? (a) -1/2 (b) -0.2 (c) 9 a What is the nearest to -1/3 in 2/355, 5, 4? 2/355 What is the closest to 4/7 in -5, -18/5, -0.2? -0.2 What is the nearest to 1 in 0.3, -2, 1/2, -1/7? 1/2 Which is the nearest to -1/4? (a) -15 (b) 0.2 (c) 11 b What is the nearest to 2/5 in -3, -2/13, -831? -2/13 What is the nearest to -2 in 2/7, -0.1, 2? -0.1 Which is the nearest to 0.2? (a) 13 (b) 20 (c) 0.2 c Which is the nearest to -1/4? (a) 1.24 (b) 0 (c) 0.2 (d) 2/11 b What is the nearest to -1 in 0.2, -2, -2/5, -0.2? -2/5 Which is the nearest to 0? (a) 0.3 (b) -1.1 (c) -5 a What is the nearest to -0.05 in -2, 1/3, 2/15? 2/15 Which is the closest to 0? (a) 0.3 (b) 0.06 (c) -22 b What is the closest to -1 in 2.13, -2, -3/2? -3/2 Which is the nearest to 3? (a) 3 (b) -1/3 (c) -1/17 (d) -0.4 a What is the closest to -91 in 33, 3/2, -0.4? -0.4 What is the nearest to 0.3 in 3, -1/4, -3, 3/17? 3/17 Which is the closest to 2/7? (a) 6 (b) -0.4 (c) 5 (d) -1.1 b What is the nearest to 1 in 5, 0.4, -4? 0.4 What is the nearest to -5/3 in -0.1, 0.34, -5? -0.1 Which is the closest to 5/4? (a) 3/2 (b) 3/110 (c) -2/11 a Which is the closest to -1/3? (a) -4 (b) -0.5 (c) 0.11 (d) -137 b Which is the nearest to -9/1192? (a) 1/2 (b) -5 (c) -2 a What is the nearest to -0.08 in -0.05, 1, 3/2, -0.2? -0.05 Which is the nearest to -4? (a) 27 (b) -1 (c) 0 b What is the closest to -6/11 in -2, -13, 0.4? 0.4 What is the closest to 2/7 in 2/17, -81, 4? 2/17 Which is the nearest to 0.1? (a) 5 (b) -2/5 (c) 2/11 (d) -17 c Which is the nearest to 0.2? (a) -1 (b) -0.38 (c) 0.1 c What is the closest to -2/3 in -17/3, -0.1, 1/8, 2? -0.1 Which is the closest to 1/3? (a) 5 (b) -2 (c) 2 (d) 0.39 d Which is the nearest to -3? (a) 2/53 (b) -0.1 (c) -3 c Which is the closest to 54? (a) -4 (b) 2 (c) -2 (d) 0 b Which is the nearest to -1/6? (a) 256 (b) -3 (c) -2/9 c What is the nearest to 0.1 in -0.2023, -5/2, -4, -3? -0.2023 What is the nearest to -2 in 1/4, -51, -5, 2/3? 1/4 What is the nearest to 1.1 in -1/3, 4, -12, -4? -1/3 Which is the nearest to 30/11? (a) -0.4 (b) -2 (c) 4/3 (d) -0.08 c Which is the nearest to -1? (a) 0.2 (b) -5/16 (c) -4 (d) 17/3 b What is the closest to -6 in 29, -4, -0.4? -4 Which is the nearest to 1? (a) 5 (b) 1 (c) 4 b Which is the nearest to 0? (a) 6 (b) 7 (c) -3/7 c What is the nearest to 0.04 in 1.1, -1, -5, 1? 1 What is the cl
{ "pile_set_name": "DM Mathematics" }
14*g - 5*g = 63. Suppose g = 2*w + 1. What is the units digit of w? 3 Let q be -2 + 7 + -3 - -3*74. Let s = q + -154. What is the tens digit of s? 7 Let g be (-1 + 2)/1 - 17. Let q = g + 42. What is the tens digit of q? 2 Let y(l) = -l**3 + 8*l**2 + 4*l - 10. Suppose 0 = 4*n - 2*n + 256. Let s be n/(-20) + (-3)/(-5). What is the units digit of y(s)? 7 Suppose -3685 - 7595 = -8*y. What is the tens digit of y? 1 Suppose 0 = -3*m + 5*w + 6805, 8*w - 3*w - 9015 = -4*m. What is the thousands digit of m? 2 Suppose 2*y - 20 = -3*y. Suppose 4*q = y*u - 212, -2*u = -0*q - 3*q - 110. Suppose -4*f = 4*w - 84, -8 = w + 5*f - u. What is the tens digit of w? 1 Let c = 14 + -14. Suppose c = -4*y + 543 + 17. Suppose 3*g = -2*g + y. What is the units digit of g? 8 Suppose -1203 = -3*w + 9. What is the units digit of w? 4 Let j = 21 + -24. Let n be 3/j*114 - 0. Let o = 170 + n. What is the tens digit of o? 5 Let a = -156 - -59. Let s = -58 - a. Suppose 4*c + 20 = 2*u - 2, 4*c = 3*u - s. What is the tens digit of u? 1 Let i(o) = o**3 + 8*o**2 - 5*o - 15. Let z(g) = -g**2 + 5*g + 18. Let s be z(8). What is the units digit of i(s)? 7 Suppose 3*f - 384 = 51. Let v = f + -64. What is the units digit of v? 1 Suppose 2*h = 2*w - w - 446, 2*w - 3*h = 888. What is the tens digit of w? 3 Suppose c - 2*d + 2 = 0, 0*c - 10 = -c - 4*d. Suppose 361 = 4*s + 3*t, 4*s = -c*t + 4*t + 346. What is the tens digit of s? 8 Let m(o) = 2*o**2 + 3*o - 7. Let y be m(-3). Suppose -2*q - 5*g = -q - 36, y*g = -3*q + 147. What is the tens digit of q? 5 Suppose 5*a + 0*b - 213 = 3*b, 83 = 2*a + b. What is the tens digit of (-7)/a - 385/(-6)? 6 Let b = 1499 + -979. What is the tens digit of b? 2 Let o be (3 - 9 - -9)*(2 - 1). Suppose d - 185 = -3*d + o*s, 4*d - s = 195. What is the tens digit of d? 5 Let l(h) = 0*h - 2*h - 5*h - 6 + 3*h + h**2. Let q(b) = 2*b + 4. Let j be q(-4). What is the units digit of l(j)? 6 Let j = 247 + -50. What is the tens digit of j? 9 Suppose -4*g + 4*f + 18312 = 0, 4*g - 2919 = 5*f + 15397. What is the hundreds digit of g? 5 Let w(c) = 69*c**3 - c**2 + 5*c + 5. What is the tens digit of w(2)? 6 Let m = 18 - 11. What is the units digit of 1 + -2 + 18 - (10 - m)? 4 Suppose 436 - 1932 = -11*t. What is the hundreds digit of t? 1 Suppose 0 = 28*o - 27*o - 53. What is the units digit of o? 3 Suppose -33 = -4*p + 3. Suppose -69 = -3*v - p. Let n = v - 16. What is the units digit of n? 4 Let v = 9 - 14. Let i = v + 18. Let c = i - -16. What is the tens digit of c? 2 Suppose h = -0*z - 5*z - 25, -9 = h + z. What is the units digit of 71*6/h*25/(-10)? 3 Let u be ((-12)/(-4) - 5)/2. Let n(b) = b**3 + 2*b**2 - b - 3. Let r be n(-4). What is the tens digit of u*(-4)/((-4)/r)? 3 What is the tens digit of ((-644)/(-5))/((-8)/(-36 + -4))? 4 Let k = -151 - -92. Let n = k + 139. What is the units digit of n? 0 Let r(n) = -n**2 + n + 43. Let s be r(7). What is the units digit of (-3 + 2)/s - -150? 9 Let x(l) = 7*l**2 - 17*l - 14. What is the hundreds digit of x(7)? 2 Let v(s) = 152*s - 124. What is the units digit of v(19)? 4 Suppose 3*o - o - 33 = -3*w, -15 = -o - w. Let k be 3/o + (-44)/(-16). Suppose 0 = -4*d - a + 2*a + 2, -5*d - 1 = -k*a. What is the units digit of d? 1 Suppose -5*c = 3*w - 2599, 5*w - 36*c = -37*c + 4339. What is the tens digit of w? 6 Let a(j) = j**3 + 18*j**2 + 19*j + 41. Suppose 224 = -13*i + 3. What is the units digit of a(i)? 7 Suppose -2*h - 1152 = -4*j, -j = 3*h - 161 - 141. Suppose 37*n - j = 32*n. What is the units digit of n? 8 Suppose 0 = -r - g + 5, 3*g = r - 0*g - 21. What is the tens digit of ((-16)/5 + 0)/(r/(-180))? 6 Suppose -2*s = 3*s + 490. Let k = s - -101. What is the units digit of k? 3 Suppose -5*f - 25 = 4*p, -2*f - 3*p = p - 2. Let t(i) = -38*i + 3. Let n be t(f). Suppose -2*o + u = 2*o - 273, 5*o - 5*u - n = 0. What is the tens digit of o? 6 Suppose 0 = -4*o + 5*o + 4*u + 1, -5*u - 26 = -o. Suppose -2*d - v + 11 = -o, 0 = -v - 4. Suppose 0 = 10*x - d*x + 33. What is the tens digit of x? 1 Let r(m) = 3*m**2 - 4*m - 1. Let h = 10 + -6. Suppose -3*l = h*g + 3 - 4, 5*l + 3*g = 9. What is the tens digit of r(l)? 1 Let v(d) = 2*d**2. Suppose -4*b - 51 = -b. Let a = -21 - b. What is the tens digit of v(a)? 3 Let y be 24/4 + -4 + -29. Let s = 185 + y. What is the tens digit of s? 5 Suppose 31*z - 3 = 28*z. What is the hundreds digit of 0/z - (2160/3)/(-6)? 1 Suppose 6*r - 107911 = -53*r. What is the units digit of r? 9 Let l(r) = -r**2 - 52*r - 16. What is the tens digit of l(-44)? 3 Let d = -62 - -65. Suppose 0 = -2*s - 3*t + 485, d*s - 8*s = -4*t - 1224. What is the units digit of s? 4 Let h(b) = -24*b + 10. Let p(w) = -1. Let g(u) = -h(u) - 10*p(u). Let r be g(3). What is the units digit of r/45*5*3? 4 Suppose 0 = -u + 5*u. What is the hundreds digit of 2 + u - -1 - (-241 - 0)? 2 Let v = 13 + -5. Suppose -v + 4 = -p. Let s(u) = u**2 - 2*u - 4. What is the units digit of s(p)? 4 What is the tens digit of (-5530)/(-112) + (-6)/16? 4 Let t be (0 - -1)/(6 - (7 - 2)). What is the tens digit of 139 - ((-8)/(5 - t) + 1)? 4 Suppose 6*x + 33 - 447 = 0. Suppose 2*y = 5*i - 57, -i = y + 59 - 13. Let c = x + y. What is the tens digit of c? 2 Suppose 0 = -15*w + 7*w + 72. What is the units digit of (108/21)/(w/294)? 8 Let w = -13 + 11. Let x be (-1 - -59) + (w - -5). Suppose 0*v + x = 3*r - 5*v, -5*v = 4*r - 23. What is the units digit of r? 2 What is the units digit of 6/14 + 185800/35? 9 What is the tens digit of (135/10)/(4/72)? 4 Let v(o) be the second derivative of o**4/12 + 11*o**3/6 + 2*o**2 - 4*o. Suppose 0 = 2*y + j + 27 + 1, -j + 56 = -4*y. What is the tens digit of v(y)? 4 Let r(y) = 3*y**2 - 5*y - 119. What is the units digit of r(-22)? 3 Suppose 4*c - 808 = -4*a, 3*a + 95 + 91 = c. Suppose -2*y - 3*v + 55 = -c, 3*y = 3*v + 417. What is the tens digit of y? 3 What is the hundreds digit of 5599/(-22)*(3 + -7)? 0 Suppose -9 = -h - 2*h. Let x(u) = -u**3 - 15*u**2 - 47*u - 24. Let r be x(-12). What is the units digit of h/6*(r - 2)? 3 Let r be 6/((-48)/28)*-10. Suppose 3*x - 25 = r. What is the tens digit of x? 2 Suppose 3*d + 4 = -l + 9, -1 = l - 3*d. Suppose -4*a = l*t, 5*t - 2 = -3*a + 12. What is the units digit of 32/(-3)*(-6)/t? 6 Suppose -2*m - 39800 = -3*a, 4*m + 66330 = 5*a - 0*m. What is the tens digit of a/50 + 4/(-10)? 6 Let n(l) = -3*l**3 - 5*l**2 + 5. Let r be n(-4). Suppose 8*w + r = 445. What is the units digit of w? 1 Let q = -538 + 980. What is the hundreds digit of q? 4 Let i = 56 + 17. Let r = i + -25. What is the tens digit of r? 4 Let s = 7909 - 4813. What is the tens digit of s? 9 What is the thousands digit of 63450/27 - (-7 - 1)? 2 Let b(f) = 58*f**2 + 52*f + 261. What is the hundreds digit of b(-8)? 5 Let l(o) = 5*o**2 + 2*o - 1. Let d(v) = v**2 - 2*v + 6. Let g be d(3). Suppose y = -2*f - 0*f - g, 3*y = 3*f. What is the tens digit of l(f)? 3 What is the units digit of (12/(-5))/(2/(-2610)*6)? 2 Let f = 247 - 162. Let j = 176 - f. What is the tens digit of j? 9 Suppose 2620 + 1682 = 9*s. What is the hundreds digit of s? 4 Let q(c) = 870*c**2 + 17*c - 1. What is the tens digit of q(-1)? 5 Let q = -236 - -565. What is the units digit of q? 9 Let o(t) = -t**3 + 23*t**2 + 21*t - 44. What is the units digit of o(23)? 9 Let j be (-1 + 14/8)/(37/148). Let z(v) = 52*v. What is the hundreds digit of z(j)? 1 Let u = -772 - -1413. What is the hundreds digit of u? 6 Let r be 2/2 - (241 - (-36)/(-6)). Let g = r + 361. What is the hundreds digit of g? 1 Let v be (273/6 - 4)*-12. Let j = -341 - v. What is the tens digit of j? 5 Suppose 0 = -8*u + 5*u - 24. What is the hundreds digit of 2/16 + (-831)/u? 1 What is the tens digit of 18/27 + 4863/9? 4 Suppose 0 = 3*y - 1348 + 466. Suppose -i = b - 0 - 69, y = 4*i - 5*b. What is the tens digit of i? 7 Let m be (14/(-8))/(2/(176/(-2))). Suppose 0*t = -3*t - 2*f - 105, -f = 0. Let p = m + t. What is the units digit of p? 2 Let x be (-10)/(-4)*(1 - -1). Suppose -x*i = -416 - 94. Suppose 0 = 4*g - 2*g - i. What is the units digit of g? 1 What is the tens digit of 23/((-1518)/(-12)) - 30378/(-22)? 8 Suppose 0 = -3*x + 2*t - 4*t + 1588, 0 = -4*x - 2*t + 2116. What is the units digit of x? 8 Let s = 297 - -209. Suppose s = 6*i + 140. What is the tens digit of i? 6 Let r = -6 + 8. Suppose
{ "pile_set_name": "DM Mathematics" }
79. Solve 3*i = 5*n - 9, 3*i = w*i - 2*n for i. 2 Let g be -9 + 9/(-18)*-18 + -1 + 6. Solve -4*c - c - 7 = -3*m, -g*c + m = 9 for c. -2 Let m(u) = -2*u**3 - 2*u - 42. Let n be m(0). Let a = 44 + n. Let x be 6 - a - (-4 - -4). Solve -k - 4 = -3*k + 5*w, 0 = -2*k - 4*w + x for k. 2 Let i(s) = s**3 + 25*s**2 + 26*s + 50. Let d be i(-24). Suppose -3*w - f = -14, -d*f + 8 = w - 0. Solve 0 = k + w*j + 18, -5*j - 23 = -3*k + 4*k for k. 2 Let s = 138 - 134. Let h be (-4)/(1 + 2 - s). Suppose j - h*j = -j. Solve -x + 2*z - 2 = j, 0*x + 3*z = 3*x + 9 for x. -4 Let h(i) = i**2 - 54*i + 300. Let v be h(48). Solve 3*z + 7 = v*m - 13*m, -2*z = 3*m for z. -3 Let k be (-5 - 1062/(-42)) + (-6)/21*1. Solve 3*f = -5*i + k, f - 21 = -5*i - 1 for i. 4 Let p(h) = h**2 + 7*h + 9. Suppose -4*z - 5*t - 18 = -z, -t = 3*z + 18. Let u be p(z). Suppose u*x - 21 = -3. Solve -2*g = -4*o - 3*g + 9, g = o - x for o. 3 Let t be (-1 + 3)*(-1)/1. Let d be (5/t)/((-9)/18). Suppose 27 = 22*z - z - 36. Solve z*b = 5*v + d, -b + 3*v = -v + 3 for b. 5 Let f be (-450)/(-54) - (5/(-3) - -1). Let o = f - -16. Solve 0 = 5*d + n + o, 4*d = -0*d - 3*n - 20 for d. -5 Let l be (-9)/((-189)/(-70))*(-15)/25. Solve -5*r - m = -7 - 1, r + 2*m + l = 0 for r. 2 Let t(f) = 51*f - 220. Let x be t(11). Suppose 349 = 2*y + x. Solve s = -3*s + y*c, 3*s = -c + 4 for s. 1 Let s be -4*(-45)/(-144)*-4. Solve 25 = -2*w + 3*z, -3*w - s*z + 2*z = 0 for w. -5 Let l(c) = 6*c + 274. Let h(k) = -k**3 - 12*k**2 - 20*k - 45. Let x be h(-10). Let q be l(x). Solve -q = -5*o + 6, o - 14 = 4*j for j. -3 Let q(d) = -2*d**2 - d + 8. Let h = 37 - 32. Suppose h*z - 5 = 0, -5 = -3*a + 2*z - 7*z. Let c be q(a). Solve 4 = -4*w + 3*f - 4, 4*w = 4*f - c for w. -2 Let c(f) = f**3 - 31*f**2 + 65*f - 197. Let m be c(29). Solve 0 = -5*y + m*a - a - 35, 0 = 4*y + 4*a - 4 for y. -3 Let w(i) = -16*i + 41. Let f be w(4). Let m(c) = 8*c + 186. Let s be m(f). Solve -s*t = -5*k - 7, 0*t = t + k for t. 1 Suppose 12 = 3*r - 2*r. Let q = r - -8. Let y(v) = 194*v + 6017. Let a be y(-31). Solve 4*s - a*p = -21 - 14, q = 4*p for s. -5 Let k(t) = 2*t**2 - 13*t - 230. Let z be k(-8). Solve -5*c + 36 = 4*a, 2*a = -c - z*c + 20 for a. 4 Let v = 4 + 1. Suppose -3*x - 2*n = 2*x - 22, -v*n - 14 = x. Suppose 16 = x*w - 2*w. Solve w = j + r, 0 = -0*j - 5*j - r for j. -1 Suppose -5*b = 2*w + 9 + 10, -3*b - 6 = 3*w. Suppose 0 = w*u, 0 = 10*j - 5*j - 3*u - 110. Solve 0*m + 3*m + 25 = -4*t, 4*t + 2*m + j = 0 for t. -4 Let d(t) = 22 + 1991*t**2 - 1992*t**2 + 3*t + 13*t. Let w = -16 + 33. Let s be d(w). Solve -12 = 4*p, -6 = h + s*p + 7 for h. 2 Let b = 381 - 377. Let q be (-56)/(8 - 15) - 6. Solve -5*t - 34 + b = 2*u, q*t + 18 = -2*u for t. -4 Suppose 8*p + 3*p = -24*p. Let i(w) = -w**2 - 10*w. Let h be i(-10). Solve 5*s - 2*k = 28, 2*s + 2*k + p*k = h for s. 4 Let f = -25 + 30. Suppose 53 = 5*h - 68*l + 70*l, 0 = 2*l - 18. Solve 9*w + h = d + f*w, 12 = -2*d - 5*w for d. -1 Suppose 505 = 6*v + 487. Solve 7*x + 5 = -v*y + 3*x, 2*x = -4*y for y. 1 Let u(p) = -124*p + 1120. Let q be u(9). Solve -4*w = -3*a + 2*a - 12, 5*w = q*a + 26 for w. 2 Let o = 2 + 0. Let j be 2/(-5) - o/(-5). Suppose 6*k - 3*k - 2*r = 77, -6*k - 8*k - 9*r + 286 = 0. Solve 3*d + j*d + 31 = 5*t, -d - 5*t = -k for d. -2 Let p be (-3483)/(-1215) + (-4)/(-30). Suppose -3*z = u - z - 15, z = u - 15. Solve -2*y = 4*f + f - u, -3*f = p*y for y. -5 Let o(t) = -81*t - 5330. Let v be o(-66). Solve -4*b = 4*w, -v*b + 20 = -13*b - 2*w for b. 4 Let f = -354 + 365. Suppose -f*r + 6*r = -5*d, 10 = 5*d. Solve 16 = -4*x, -r*a + 0 + 4 = -x for a. 0 Suppose 2*z - 4 = -2*y - 6, -3*z - y + 7 = 0. Suppose z*j - 8 = 0, 29*p - 26*p - 5*j + 7 = 0. Solve -3*a = 4*b - p, b + b + 7 = a for b. -2 Suppose 0*c - 2*c = -70. Let t = -31 + c. Suppose -3*y - 24 = v - 4*v, 3*v = -4*y - t. Solve 0 = v*r - 4*k, 5*r + 2*k + 1 + 6 = 0 for r. -1 Suppose 2*p = -566 + 566. Suppose 4*u = 2*u. Suppose q + u*q = p. Solve -3*b + 2*b + 3*c + 8 = q, -2*c - 3 = -3*b for b. -1 Let i be 171/3420 + 78/40. Solve -5*q = -b - 5, -4*q + b + i*b = -15 for q. 0 Suppose 61*o - 265 = -82. Solve o*v - 7 = 2*z, v = 2*z - z + 3 for v. 1 Suppose -174 = -13*a + 73. Suppose -a*p = -26*p + 14. Solve p + 21 = 5*o + 2*r, 0 = 2*r + 2 for o. 5 Let u(k) = 12*k - 91. Let m = -252 + 260. Let b be u(m). Solve 0 = i - 3*r + 16, -b*r = 4*i - 0*r - 4 for i. -4 Let h(v) = 355*v - 1855. Let z be h(5). Suppose 5*a - 456 = -4*q + 2*q, 5*q = -2*a + 174. Let f = z + a. Solve 4*x - 6*s - f = -2*s, -2*x = -s - 7 for x. 4 Let l be 126/84 + 2 + (-9)/6. Solve u - 2*u = -b - l, -2*b = -3*u + 3 for u. -1 Suppose -5*k + 3*k = 0. Suppose k*g + m = -3*g + 5, m - 5 = 0. Let f be (-60)/(-24)*1*8/10. Solve g*x + 3*b = f*x + 8, 5*b = 0 for x. -4 Let w(j) = -j**2 + 29*j + 3963. Let c be w(79). Solve -3*i + 63 = -5*o + 80, 5*o - 2*i - c = 0 for o. 1 Suppose -p - 2*x + x + 10 = 0, 4*p - 50 = -2*x. Let d(q) = -q**3 + 12*q**2 + 44*q + 17. Let v be d(p). Solve -3*h - 12 = -0*b - b, -v*h = 3*b + 19 for b. -3 Suppose 682*a - 4*c = 677*a - 5, -4*a = 4*c - 32. Solve 5*o - 5 = 3*n, a*n + 5*o - 5 = 8*n for n. 0 Suppose v + 18 = -5*x, 3*v - 2*x = 19 - 5. Suppose 10 = 2*t - a + 6, -a + 8 = v*t. Solve -t*n = 2*b - 12, -2*b = n - 3*n + 8 for n. 4 Let s be 10/(-8)*(14 - 1014/65). Solve -4*a + 22 = s*h, 5*a - 4*a = -2*h + 13 for h. 5 Let n(g) = -g**3 - 4*g**2 + 3*g + 2. Suppose -8*w + 2*w = -60. Suppose -30*u = -28*u + w. Let j be n(u). Solve -2*a - 4*m = j, -5*a - 2 = -4*a - 2*m for a. -4 Let j(s) = -s**2 - 9*s - 77. Let p be j(-18). Let n = p + 247. Solve 2*f - 10 = -a, 4*f + 16 = n*f for a. 2 Suppose 60*p - 22 - 126 = 32. Solve 5 = 19*g - 14*g - 5*y, 4*y = p*g + 1 for g. 5 Let z = -58 + 61. Suppose -c + 4*c = 4*k + 19, z*c + 2*k = -5. Let a be (-10)/(-2) - (c - -2). Solve 3*m + 1 = -a*i, 2 = -2*m - 0 for i. 1 Let d be 24*(4/(-60) + 2/5). Solve 5*y - 32 = 3*u, 4*y + 6*u = 4*u + d for y. 4 Let k(q) = 4*q**2 - 388*q + 771. Let a be k(2). Solve -h = -5*y - 21, 0 = 4*y + 7*h - a*h + 20 for y. -4 Let f(t) = t**3 + 18*t**2 - 13*t - 232. Let y be f(-18). Solve -y*s - 5*d + 16 = 0, -3*s + 7 = 2*d + 5 for s. -2 Suppose -71*c = -337*c - 88*c. Solve d - 4*k = 3, 4*d + 0*d + 3*k - 12 = c for d. 3 Let c be (-3 - 0) + (-70)/(-10). Suppose -2*g = 5*x + c, 0*x - x = -3*g + 28. Let a be ((-28)/g - -3)*(-10)/1. Solve -2*d - v - v = 14, 0 = -a*d + v - 23 for d. -5 Let c = 2135 + -2133. Solve -c*g + 6*g = 2*t + 4, 2*g + t = 6 for g. 2 Suppose 0 = 6*w - 9*w - 945. Let g = w + 316. Solve 2*t = 3*j + t - 5, j + g = t for j. 3 Let b(z) = 6*z**3 - 7*z**3 + 5 - 8*z + 3*z + 3*z + 5*z**2 - 4*z. Let k be b(3). Solve -3*j + k*f = 2*f + 12, 2*j + 8 = -5*f for j. -4 Let s = 6160 - 6060. Solve -95 + s = -f + i, 2*f = 5*i - 13 for f. -4 Let q be 41/205 + (0 - (-158)/10). Suppose 0 = 7*h - 82 - q. Solve -3*a + 8 = 4*o - h, -2 = -a for o. 4 Suppose 0 = 17*l - 184 + 150. Solve 5*c = -l*b - 3 - 2, -3*b = -4*c + 19 for c. 1 Let i = 40 + -38. Let c(w) = 3*w + 10. Let z be (-22)/22 + (0 - 2/2). Let m be c(z). Solve -m = -2*o - i*b - 0, -6 = -o + b for o. 4 Let i(b) = 2*b**2 - 4*b - 1. Let k be i(-3). Let m = k + -26. Suppose -3*o = 5*d - 15, -m*o - o + d = 3. Solve -g = 2*t - o*g - 2, -2*g - 14 = -5*t for t. 2 Suppose -499*l + 502*l = 3*j + 222, l - 83 = 4*j. Solve -l + 80 = -3*h, 5*d + 3*h + 29 = 0 for d. -4 Let p be 63/(-12) - (-3)/12 - -8. Suppose -p*j + 2*v = -20 + 5, -5*v = -3*j + 15. Solve -22 = -j*h - 3*g, -h + 6 = g - 0*g for h. 2 Suppose -h = -m - 216, -3*m - 332 = -2*h + 103. Suppose 10*i = 7 + h. Suppose -23*a + i*a = -4. Solve -4*t - 1 = -v - 8, t = a*v + 13 for v. -3 Let f(w) = -w**3 - 27*w**2 - 168*w + 25. Let n be f(-10). Solve 4 = -10*t + 6*t, 0 = -n*i - 5*t + 10 for i. 3 Let s(f) = -f + 19. Let m be s(16). Solve -5*c + 6*c + b = -3, m*b + 23 = 4*c for c. 2 Let a = -960 + 971. Suppose 238 = a*g + 194. Solve g*c - 3 = 7*c, j - 4*c = 0 for j. -4 Suppose -28*m = -53*m + 36*m. Solve 5*r + 5 = m, p + 3*r = -0*p - 7 for p. -4 Suppose -6 = -8*f + 14*f. Let c be (-1)/(-1) - ((-5)/5)/f. Solve c = 3*x + 5*o - 23, x + 21 - 2 = 5*o for x. 1 Let p be (-1 - (-47 + 39 + 10/1)) + 8. Solve -3*f - 16 = 4*m - 4*f, p*m - 2*f = -23 for m. -3 Let f = 1079 - 1075. Solve -y = f*z + 4*y + 16, y + 2 = -2*z for z. 1 Let j(m) be the second derivativ
{ "pile_set_name": "DM Mathematics" }
99? -322*j**2 - 7*j - 3465 What is the r'th term of 8152, 10901, 13650, 16399? 2749*r + 5403 What is the b'th term of -537, -538, -543, -552, -565, -582, -603? -2*b**2 + 5*b - 540 What is the d'th term of 63211, 253191, 569827, 1013119, 1583067, 2279671? 63328*d**2 - 4*d - 113 What is the v'th term of -2581, -10238, -23015, -40912, -63929, -92066? -2560*v**2 + 23*v - 44 What is the x'th term of 55515, 52280, 49045? -3235*x + 58750 What is the s'th term of 26500, 26588, 26724, 26932, 27236, 27660? 4*s**3 + 60*s + 26436 What is the k'th term of 187122, 373444, 559766, 746088? 186322*k + 800 What is the z'th term of -28350, -28359, -28382, -28425, -28494, -28595, -28734, -28917? -z**3 - z**2 + z - 28349 What is the t'th term of -52314, -418626, -1412910, -3349152, -6541338? -52331*t**3 + 5*t + 12 What is the r'th term of -34740, -138950, -312626, -555768, -868376, -1250450? -34733*r**2 - 11*r + 4 What is the u'th term of -60860, -62077, -63294? -1217*u - 59643 What is the z'th term of 43517, 82632, 121747, 160862, 199977, 239092? 39115*z + 4402 What is the m'th term of 3226068, 12904284, 29034644, 51617148, 80651796, 116138588, 158077524? 3226072*m**2 - 4 What is the r'th term of 43375, 43311, 43247, 43183? -64*r + 43439 What is the f'th term of 661, 2622, 5853, 10360, 16149, 23226, 31597, 41268? f**3 + 629*f**2 + 67*f - 36 What is the o'th term of 260, -78, -1604, -4912, -10596? -99*o**3 + 355*o + 4 What is the l'th term of -107218, -110414, -113610, -116806, -120002? -3196*l - 104022 What is the x'th term of 3000704, 3000691, 3000674, 3000653, 3000628, 3000599, 3000566? -2*x**2 - 7*x + 3000713 What is the j'th term of -1602555, -3205103, -4807651, -6410199, -8012747, -9615295? -1602548*j - 7 What is the c'th term of -1038, -8641, -21312, -39051, -61858, -89733, -122676? -2534*c**2 - c + 1497 What is the s'th term of 832052, 1664103, 2496164, 3328241, 4160340, 4992467, 5824628, 6656829? s**3 - s**2 + 832047*s + 5 What is the h'th term of -296918537, -296918536, -296918535, -296918534, -296918533, -296918532? h - 296918538 What is the w'th term of 33188972, 33188974, 33188976, 33188978? 2*w + 33188970 What is the z'th term of -52181, -52106, -51995, -51848? 18*z**2 + 21*z - 52220 What is the n'th term of 440, 1162, 2374, 4076, 6268, 8950, 12122? 245*n**2 - 13*n + 208 What is the y'th term of -190264579, -380529156, -570793733, -761058310, -951322887, -1141587464? -190264577*y - 2 What is the a'th term of -3337, -13722, -31145, -55606, -87105? -3519*a**2 + 172*a + 10 What is the s'th term of 28449, 28424, 28391, 28356, 28325, 28304? s**3 - 10*s**2 - 2*s + 28460 What is the y'th term of 744951, 1489850, 2234749? 744899*y + 52 What is the x'th term of 1541, 3683, 5815, 7931, 10025, 12091, 14123, 16115? -x**3 + x**2 + 2146*x - 605 What is the r'th term of -40565148, -40565149, -40565150? -r - 40565147 What is the c'th term of -14130, -24363, -34596, -44829? -10233*c - 3897 What is the f'th term of -8900, -9136, -9370, -9602? f**2 - 239*f - 8662 What is the c'th term of 56653334, 113306673, 169960020, 226613375, 283266738? 4*c**2 + 56653327*c + 3 What is the r'th term of -2673, -21462, -72519, -171978, -335973? -2689*r**3 + 34*r - 18 What is the t'th term of 1431, 3819, 7167, 11481, 16767? t**3 + 474*t**2 + 959*t - 3 What is the u'th term of 2922, 5477, 8028, 10575, 13118? -2*u**2 + 2561*u + 363 What is the m'th term of -1170656, -2341324, -3511992, -4682660, -5853328? -1170668*m + 12 What is the k'th term of 119543, 238544, 357545? 119001*k + 542 What is the p'th term of -10055, -6544, -693, 7498, 18029? 1170*p**2 + p - 11226 What is the m'th term of -131967, -263681, -395395? -131714*m - 253 What is the b'th term of -1291, -10092, -33991, -80536, -157275? -1258*b**3 - b**2 + 8*b - 40 What is the z'th term of 4468, 2457, -894, -5585? -670*z**2 - z + 5139 What is the u'th term of 78362, 313427, 705180, 1253603, 1958678, 2820387, 3838712, 5013635? -3*u**3 + 78362*u**2 + 3 What is the m'th term of -2345185, -2345168, -2345151, -2345134, -2345117, -2345100? 17*m - 2345202 What is the l'th term of -1063975, -2128128, -3192281? -1064153*l + 178 What is the x'th term of 895, 1837, 2689, 3397, 3907, 4165, 4117? -9*x**3 + 9*x**2 + 978*x - 83 What is the i'th term of -26438, -53055, -79672, -106289? -26617*i + 179 What is the x'th term of 25640, 51390, 77246, 103208, 129276? 53*x**2 + 25591*x - 4 What is the r'th term of -347681, -347636, -347529, -347330, -347009? 5*r**3 + r**2 + 7*r - 347694 What is the p'th term of -16297, -16409, -16597, -16867, -17225, -17677? -p**3 - 32*p**2 - 9*p - 16255 What is the u'th term of -16339, -32945, -49555, -66169, -82787, -99409? -2*u**2 - 16600*u + 263 What is the g'th term of -83301994, -166603985, -249905976, -333207967? -83301991*g - 3 What is the c'th term of 7483, 7448, 7391, 7312, 7211, 7088, 6943? -11*c**2 - 2*c + 7496 What is the o'th term of 365792, 731303, 1096534, 1461485, 1826156? -140*o**2 + 365931*o + 1 What is the d'th term of -1432770, -2865556, -4298342, -5731128, -7163914, -8596700? -1432786*d + 16 What is the l'th term of 149476, 149514, 149538, 149542, 149520? -l**3 - l**2 + 48*l + 149430 What is the g'th term of 285215, 285358, 285597, 285932? 48*g**2 - g + 285168 What is the p'th term of -22340, -22187, -21942, -21611, -21200? -p**3 + 52*p**2 + 4*p - 22395 What is the q'th term of 135, -1518, -6009, -14760, -29193, -50730, -80793? -237*q**3 + 3*q**2 - 3*q + 372 What is the z'th term of 31381, 125538, 282475, 502192, 784689? 31390*z**2 - 13*z + 4 What is the b'th term of -7990, -30874, -68650, -121318, -188878? -7446*b**2 - 546*b + 2 What is the y'th term of 54992, 107697, 160402, 213107, 265812, 318517? 52705*y + 2287 What is the r'th term of 2786, 2109, 976, -613? -228*r**2 + 7*r + 3007 What is the o'th term of -74306, -298295, -671604, -1194233? -74660*o**2 - 9*o + 363 What is the c'th term of 211540, 211266, 210992, 210718? -274*c + 211814 What is the m'th term of -133, -214, -257, -256, -205, -98, 71, 308? m**3 + 13*m**2 - 127*m - 20 What is the t'th term of 31829, 31802, 31755, 31682, 31577, 31434? -t**3 - 4*t**2 - 8*t + 31842 What is the a'th term of -1124, -1537, -2136, -2927, -3916? -a**3 - 87*a**2 - 145*a - 891 What is the v'th term of -105, -517, -1569, -3585, -6889, -11805, -18657, -27769? -54*v**3 + 4*v**2 - 46*v - 9 What is the q'th term of 13193, 12701, 12245, 11843, 11513, 11273, 11141, 11135? 3*q**3 - 513*q + 13703 What is the s'th term of 6083439, 6083425, 6083413, 6083403, 6083395? s**2 - 17*s + 6083455 What is the p'th term of 4675018, 4675017, 4675016, 4675015? -p + 4675019 What is the b'th term of 1562, -2229, -12524, -32575, -65634, -114953, -183784, -275379? -542*b**3 + 3*b + 2101 What is the z'th term of 895, 4831, 14861, 34033, 65395, 111995? 508*z**3 - z**2 + 383*z + 5 What is the g'th term of -2456709, -4913434, -7370159, -9826884? -2456725*g + 16 What is the t'th term of -30711154, -61422307, -92133460, -122844613? -30711153*t - 1 What is the f'th term of -84080, -83927, -83510, -82697, -81356, -79355, -76562? 22*f**3 - f - 84101 What is the n'th term of -10588313, -21176627, -31764941? -10588314*n + 1 What is the j'th term of -332270, -332277, -332272, -332249, -332202, -332125, -332012, -331857? j**3 - 14*j - 332257 What is the i'th term of 213254, 214163, 215072, 215981, 216890, 217799? 909*i + 212345 What is the r'th term of 1039, 1044, 1049, 1048, 1035, 1004? -r**3 + 6*r**2 - 6*r + 1040 What is the y'th term of 1079973, 1079943, 1079913, 1079883, 1079853, 1079823? -30*y + 1080003 What is the d'th term of 173865, 695465, 1564793, 2781843, 4346609, 6259085? -d**3 + 173870*d**2 - 3*d - 1 What is the g'th term of -165204, -165195, -165186, -165177, -165168, -165159? 9*g - 165213 What is the v'th term of 14402, 14558, 15012, 15914, 17414? 25*v**3 - v**2 - 16*v + 14394 What is the t'th term of -2316, -2342, -2406, -2526, -2720, -3006? -3*t**3 - t**2 - 2*t - 2310 What is the k'th term of 45615567, 45615564, 45615561, 45615558, 45615555, 45615552? -3*k + 45615570 What is the o'th term of -9340, -12538, -15736? -3198*o - 6142 What is the x'th term of 7384, 56719, 190140, 449689, 877408, 1515339? 7007*x**3 + x**2 + 283*x + 93 What is the h'th term of -313483848, -313483849,
{ "pile_set_name": "DM Mathematics" }
11000110100110011111 What is -4730181 (base 9) in base 8? -11605740 What is 175a6 (base 12) in base 3? 1201012100 Convert 10011000010101000 (base 2) to base 6. 1401024 What is 506d4e (base 16) in base 4? 110012311032 What is 293066 (base 10) in base 16? 478ca Convert 3819387 (base 10) to base 3. 21012001012210 What is 1a3c30 (base 16) in base 12? 6aaba8 -70b6b (base 13) to base 3 -101020220212 2b248 (base 15) to base 5 13421033 Convert 98985 (base 12) to base 8. 612165 What is -a183 (base 13) in base 15? -68d1 -c6c8 (base 13) to base 12 -13b32 What is -71277 (base 11) in base 4? -121123100 Convert -15618658 (base 9) to base 3. -112200122201222 Convert -32052101 (base 7) to base 10. -2718668 Convert 4732625 (base 8) to base 9. 2377747 147420 (base 12) to base 14 8d772 c78c5 (base 13) to base 15 7184e -61af3 (base 16) to base 6 -12324215 Convert -82d3c (base 16) to base 8. -2026474 -12121020201 (base 3) to base 6 -2210244 What is 3aa8a (base 14) in base 6? 3034122 98500 (base 12) to base 6 4151200 Convert 5790d (base 14) to base 7. 1545116 What is -883193 (base 10) in base 15? -126a48 Convert -13301023 (base 5) to base 6. -2514425 What is 421044 (base 9) in base 5? 31000322 Convert -11010100100100111011 (base 2) to base 16. -d493b -12220222221 (base 3) to base 15 -2485d 30c18 (base 14) to base 13 416cb Convert -243103400 (base 5) to base 14. -21adc5 Convert 111111101 (base 3) to base 5. 303323 What is -17776488 (base 10) in base 3? -1020110010202110 -21344242 (base 5) to base 8 -550002 -1230b5 (base 13) to base 3 -211002220211 Convert -5b878 (base 16) to base 9. -631240 Convert 111000100011000001010 (base 2) to base 16. 1c460a What is -10101101100011100110100 (base 2) in base 15? -7750e7 What is -100123320001 (base 4) in base 7? -51423112 Convert 10000101111111110000 (base 2) to base 11. 3453a3 What is 17a26a (base 11) in base 6? 5535102 What is -584257 (base 15) in base 11? -241a523 What is f159e (base 16) in base 3? 1212020001212 Convert 417ab (base 15) to base 2. 110010101011111011 -130101302 (base 4) to base 16 -1c472 Convert 134300122 (base 5) to base 10. 696912 What is -508207 (base 9) in base 13? -a716a 203303122 (base 4) to base 13 5199a -2012012022 (base 3) to base 9 -65168 What is -20002022022 (base 3) in base 12? -59398 -224150 (base 7) to base 12 -1b0a8 What is 10541220 (base 6) in base 14? 86284 120102000112122 (base 3) to base 10 8188523 What is 57cdd (base 15) in base 5? 32422113 -49354 (base 14) to base 10 -179022 209715 (base 11) to base 6 11102400 What is -d357 (base 14) in base 13? -13702 -20366150 (base 7) to base 13 -480245 Convert 1211211001 (base 3) to base 11. 25315 What is 16769 (base 14) in base 8? 156031 What is 10111111100000101000 (base 2) in base 12? 319b48 10010020020212 (base 3) to base 6 55311335 30017c (base 13) to base 14 210063 -288805 (base 10) to base 3 -112200011111 Convert -16b70 (base 15) to base 2. -10001111011101111 Convert -10000011110101010001111 (base 2) to base 15. -5a4e77 -53727 (base 11) to base 12 -39222 What is 101101000110111000000 (base 2) in base 16? 168dc0 Convert -210010102210111 (base 3) to base 15. -ebbbc4 Convert 2aaab9 (base 13) to base 15. 15ba8d What is 1000100100110100011 (base 2) in base 11? 182130 Convert 3f388d (base 16) to base 8. 17634215 What is -97406 (base 15) in base 12? -1b1a50 Convert 4401b (base 12) to base 4. 111330113 What is -5c2d81 (base 16) in base 7? -102230063 11432503 (base 6) to base 9 611753 What is 226962 (base 10) in base 13? 7c3c8 Convert 20451000 (base 6) to base 15. bc14c Convert -121433 (base 7) to base 14. -811a Convert 44922 (base 11) to base 5. 4040001 What is -5333667 (base 10) in base 3? -101000222102020 What is 4812626 (base 10) in base 15? 650e6b What is -19947 (base 15) in base 8? -242224 What is 68b827 (base 13) in base 14? 488634 Convert -8863011 (base 9) to base 4. -102023130223 Convert 4846290 (base 11) to base 2. 100000001100111011000111 What is 203301313 (base 4) in base 13? 51922 Convert -1121220002122 (base 3) to base 11. -5400a7 What is -88556 (base 10) in base 2? -10101100111101100 What is 173bd56 (base 14) in base 8? 53514270 What is -3ed506 (base 16) in base 14? -792902 Convert -22312223 (base 4) to base 10. -44459 -14021132 (base 5) to base 10 -142042 What is -b665 (base 15) in base 12? -1a3a2 What is -1d9d0a (base 16) in base 2? -111011001110100001010 Convert -103d4b (base 14) to base 4. -2011330333 300222240 (base 5) to base 13 323c5a -112222013012 (base 4) to base 13 -12cc6b6 Convert 102200120010 (base 3) to base 15. 48263 -10001101000000100100 (base 2) to base 7 -4623612 Convert -2121002021 (base 3) to base 4. -30132103 Convert 4663438 (base 11) to base 12. 28895aa 75623 (base 11) to base 16 1ad45 What is 105451503 (base 6) in base 9? 3603083 433654 (base 8) to base 7 1143454 Convert -5655443 (base 7) to base 3. -1022201101022 What is -2021131301 (base 4) in base 6? -20022425 Convert 4476a (base 11) to base 2. 1111110100101011 -59674 (base 10) to base 8 -164432 -233132302 (base 4) to base 11 -123132 What is 13124440 (base 8) in base 11? 171a010 What is 187073b (base 13) in base 15? a7ed0d What is 211ca (base 15) in base 12? 50954 -112122122220 (base 3) to base 16 -466b6 Convert 1000121102021 (base 3) to base 9. 1017367 Convert 1102720 (base 14) to base 3. 120012012210020 Convert 4202120 (base 7) to base 12. 20427b What is -6ab425 (base 12) in base 5? -420014330 What is -655003 (base 8) in base 15? -45136 Convert 15462021 (base 9) to base 12. 2701b91 -57942a (base 12) to base 16 -157222 Convert 201102010220120 (base 3) to base 12. 3556406 Convert -2759083 (base 10) to base 3. -12012011202021 561013 (base 8) to base 12 9140b -a85c1 (base 14) to base 3 -202200122202 Convert -131322516 (base 7) to base 13. -19857b1 -59c62 (base 14) to base 2 -110101100001001110 29402d (base 14) to base 5 331314114 11334027 (base 8) to base 11 1439246 Convert -74477 (base 12) to base 11. -a4827 What is -1636536 (base 8) in base 6? -14100330 Convert 27652 (base 16) to base 6. 3243014 What is 10100100100001011000111 (base 2) in base 10? 5391047 What is 43011234 (base 5) in base 14? 953a2 What is -5c312 (base 16) in base 7? -3131633 Convert 470650 (base 8) to base 11. aa378 -32243155 (base 6) to base 2 -11101001000011001111 -32013030 (base 4) to base 7 -330345 What is 16152453 (base 7) in base 14? 2c82d3 Convert -c794 (base 13) to base 11. -19873 Convert -823550 (base 9) to base 14. -c9c7d Convert -45325400 (base 7) to base 3. -21102011001022 Convert 2013887 (base 10) to base 9. 3708472 Convert -4985179 (base 10) to base 3. -100101021101021 What is 4041774 (base 8) in base 5? 233102410 Convert -42321221 (base 5) to base 6. -11333253 What is -662b6 (base 12) in base 5? -13311320 Convert 2241052 (base 7) to base 13. 99c37 Convert -1125375 (base 8) to base 11. -199927 Convert -68a6a6 (base 11) to base 10. -1097586 What is 4a515 (base 12) in base 15? 1edab -10154154 (base 7) to base 15 -11ceb0 What is 1002002111121 (base 3) in base 5? 121311012 8942 (base 15) to base 5 1412322 -15096b (base 15) to base 7 -11424044 Convert 37243 (base 10) to base 2. 1001000101111011 8c573 (base 14) to base 16 53559 Convert -21622e (base 15) to base 2. -110000100001101100111 Convert -4731 (base 13) to base 8. -23433 What is 10311202021 (base 4) in base 13? 35510b -11114401 (base 5) to base 16 -17f35 What is a2630 (base 13) in base 7? 2321364 21201010012 (base 3) to base 10 151718 Convert 8595170 (base 10) to base 16. 8326e2 45876 (base 16) to base 9 473583 Convert 743fe (base 16) to base 8. 1641776 -2200312333 (base 4) to base 3 -1020110210221 What is -91587 (base 16) in base 2? -10010001010110000111 Convert -50a033 (base 11) to base 4. -3013312221 -220420023 (base 6) to base 16 -3c50af Convert 2201231122 (base 4) to base 15. d13c7 Convert 3430534 (base 6) to base 3. 22220021111 -97398 (base 11) to base 10 -141556 What is 18635 (base 16) in base 8? 303065 Convert 1008852 (base 11) to base 13. 4a588b What is -36645 (base 10) in base 14? -d4d7 Convert -63a87 (base 11) to base 10. -93144 Convert -12505263 (base 7) to base 15. -1792a9 7a539 (base 11) to base 16 1c6dc Convert 2078170 (base 9) to base 11. 6a1611 What is -31235300 (base 7) in base 5? -1133142312 Convert -3803784
{ "pile_set_name": "DM Mathematics" }
k) - 6*x(k). -55*k**3 Let z(w) = 8*w**2 - 5*w + 9. Let x(v) = -12*v**2 + 8*v - 14. Let p = -107 - -102. Calculate p*x(j) - 8*z(j). -4*j**2 - 2 Let v(r) = -3*r. Let g(o) = 4*o - 1. Let b(d) = -d**2 + 11*d - 12. Let u be b(10). What is u*g(l) - 3*v(l)? l + 2 Let j(k) = -9*k - 14. Let b(p) = 4*p + 7. Determine 7*b(u) + 3*j(u). u + 7 Let p(z) = -3 + 7*z - 2 + 6 + z**2. Let g be p(-7). Let n(u) = 1. Let q(c) = 4*c + 7. Let j(y) = 11*y + 20. Let w(l) = -6*j(l) + 17*q(l). Give g*w(f) + 2*n(f). 2*f + 1 Let g(q) = -6*q - 6. Let f be (-228)/(-56) - 4/7. Let t(j) be the second derivative of f*j**2 + 2*j + 0 + 7/6*j**3. Determine 6*g(i) + 5*t(i). -i - 1 Let k(c) = -36*c. Let j be ((-9)/(-6) + -1)*32. Suppose j = -5*p - 4. Let i(f) = -7*f. What is p*k(r) + 21*i(r)? -3*r Let a(r) = -3*r. Let i(t) = -t - 1. Let o(q) = -q + 1. Let h(d) = -7*d + 3. Let l(u) = h(u) - 6*o(u). Let x(f) = 2*i(f) - l(f). Determine -a(s) + x(s). 2*s + 1 Let p(k) = 24*k**2 + 5*k - 3. Let l(u) = -12*u**2 - 2*u + 1. Determine -5*l(z) - 2*p(z). 12*z**2 + 1 Let b(w) = -2*w**3 - 6*w**2 - 6*w + 5. Let t(m) = m**2 + m - 1. Determine -b(h) - 6*t(h). 2*h**3 + 1 Let g(j) = j**3 + 4*j**2 - 9*j - 11. Let y be g(-5). Let q(t) = 17*t + 4. Let s(x) = -4*x - 1. Calculate y*s(i) + 2*q(i). -2*i - 1 Let r be 3*-3 - (4 - 8). Let l(p) = 2*p**2 + 7*p + 7. Let m(y) = -2*y**2 - 6*y - 6. Determine r*m(f) - 4*l(f). 2*f**2 + 2*f + 2 Let b(i) = -11*i**2 + 7*i. Let m(s) = -5*s**2 + 4*s. Determine -3*b(o) + 7*m(o). -2*o**2 + 7*o Let i(g) be the second derivative of 5*g**3/6 + 4*g**2 + 21*g. Let w(k) = 11*k + 17. Let d be 2*(26/(-4))/1. Give d*i(z) + 6*w(z). z - 2 Let r be (-1)/(-2) + (-5)/(-2). Let m(j) = 6*j + 4. Let b(t) = -13*t + 19*t - 8*t - 1. Determine r*m(x) + 10*b(x). -2*x + 2 Let v(c) = -8*c**3 - 6*c**2 + 7*c - 7. Let l(a) = -7*a**3 - 6*a**2 + 6*a - 6. Give 7*l(b) - 6*v(b). -b**3 - 6*b**2 Let w(y) = 1. Let n(v) = -12*v**2 - 8*v + 16. Let c(s) = n(s) - 6*w(s). Let f(l) = -l - 2*l - 1 + 4*l + l**2. Let t = -1 - 0. Calculate t*c(d) - 10*f(d). 2*d**2 - 2*d Let a(q) = -3*q**3 + 4*q + 4. Suppose 15 + 1 = 4*p. Let v(l) = -2*l**3 + 3*l + 3. Give p*v(u) - 3*a(u). u**3 Let g(r) = -2*r**2 + 4*r. Let t(y) = y - 1. Determine g(q) - 2*t(q). -2*q**2 + 2*q + 2 Let u(i) = 2*i + 4. Let h(g) = g + 2. Let c(b) = 5*h(b) - 2*u(b). Let t(o) = -3*o - 4. Calculate 5*c(s) + 2*t(s). -s + 2 Let q(u) be the third derivative of u**6/720 + u**5/60 - u**4/12 - u**2. Let d(p) be the second derivative of q(p). Let f(a) = -a - 3. What is 5*d(y) + 3*f(y)? 2*y + 1 Let x(i) = 9*i + 17. Let p(w) = -3*w - 6. Give -8*p(a) - 3*x(a). -3*a - 3 Let v(q) = -4*q - 3. Let r(t) = -3*t - 2. Let i(j) = j**3 + 5*j**2 + 5*j + 7. Let p be i(-4). Calculate p*r(d) - 2*v(d). -d Let f(p) = p + 6. Let n(m) = -2*m - 17. Give 11*f(l) + 4*n(l). 3*l - 2 Let o(k) = -18*k + 9. Let z(c) = 9*c - 5. Determine 6*o(f) + 11*z(f). -9*f - 1 Let b(w) be the first derivative of -w**4/4 - 2*w**2 - 2*w - 2. Let v(n) = -2*n + 3. Let y be v(3). Let i(g) = g**3 - g**2 + 5*g + 3. Give y*b(c) - 2*i(c). c**3 + 2*c**2 + 2*c Let l(n) be the third derivative of n**6/60 - n**5/20 - n**4/8 + 4*n**2. Let s(t) = -t**3 + t**2 + t. Give -l(w) - 3*s(w). w**3 Let a(r) = -2*r - 1. Let q(i) = -3*i - 1. Give 6*a(b) - 5*q(b). 3*b - 1 Let w(l) = -l - 1. Let u(b) = 14*b - 11. Let r(h) = 5*h - 4. Let a(v) = 11*r(v) - 4*u(v). Calculate 5*a(d) - 2*w(d). -3*d + 2 Suppose 5*a - 16 - 4 = 0. Let g(u) = 9*u - 3. Let t(d) = 72*d - 24. Let q(h) = a*t(h) - 33*g(h). Let j(o) = 5*o - 2. Give -7*j(y) - 4*q(y). y + 2 Let c(f) = -4*f**2 - 3. Let l(y) = 5*y**2 + 4. Let u be 6/(-4)*(-8)/3. Give u*c(d) + 3*l(d). -d**2 Let v = 25 + 0. Let l(n) = 8*n**2 + 9*n**3 + 17 - v*n**2 + 11*n**3. Let w(h) = -7*h**3 + 6*h**2 - 6. What is -6*l(f) - 17*w(f)? -f**3 Let z(s) be the second derivative of 3*s**4/4 - 2*s**2 + 9*s. Let c(g) = -10*g**2 + 5. Calculate -4*c(o) - 5*z(o). -5*o**2 Let n(q) = 4*q**2 + 3*q + 3. Let c be ((-6)/(-5))/(1/15). Let f = 25 - c. Let l(t) = 1 + f*t**2 + 4 + 3*t + 2*t. What is 3*l(i) - 5*n(i)? i**2 Let n = -30 + 37. Let p(q) = -4*q**3 + q**2 + 7. Let l(o) = 2*o**3 - o**2 - 4. Calculate n*l(d) + 4*p(d). -2*d**3 - 3*d**2 Let x(u) = -u - 6. Let i be x(-10). Let f(t) = 3 - 7 + 3*t**3 - t**2 - 2*t**2. Let v = 12 - 1. Let m(d) = -8*d**3 + 8*d**2 + 11. Calculate i*m(r) + v*f(r). r**3 - r**2 Let i(u) = 6*u + 1. Let x(h) = h**2 + 7*h - 3. Let w be x(-8). Let g(o) = o. Determine w*g(a) - i(a). -a - 1 Let q(g) = -2*g. Let t(m) = -m. Give -4*q(p) + 5*t(p). 3*p Let h(u) = -4*u**3 + 2*u**2 - 8. Let m(z) be the first derivative of z**4/4 + z + 14. Give h(i) + 6*m(i). 2*i**3 + 2*i**2 - 2 Let o(c) = -2*c**2 + 4*c + 7. Let q(u) = u**2 - u. Calculate -o(j) - 4*q(j). -2*j**2 - 7 Let m(j) = -10*j - 2. Let q(a) = -11*a - 3. Give 6*m(g) - 5*q(g). -5*g + 3 Let r(c) = -c**2 - c - 1. Let o(d) = -11*d**3 + 10*d**2 + 14*d - 16. Let x(m) = -o(m) + 3*r(m). Let b(v) = 5*v**3 - 6*v**2 - 8*v + 6. Give 13*b(h) - 6*x(h). -h**3 - 2*h Let k(p) be the second derivative of p**4/3 + p**3/2 - 5*p**2/2 + 12*p. Let s(r) = -11*r**2 - 9*r + 14. Determine -8*k(g) - 3*s(g). g**2 + 3*g - 2 Let v(h) = -4*h**2 - 2*h + 2. Let j(b) = 5*b + 65. Let o be j(-14). Let g(l) = 0 + 5*l + 9*l**2 - 2 - 3. What is o*v(q) - 2*g(q)? 2*q**2 Let c(o) = -2*o + 1. Let b(v) = -v. Suppose 6 = -i + 3*i. Suppose j - i = -1. Let z = j + -5. Give z*b(k) + 2*c(k). -k + 2 Let k(y) = y - 2. Let c be 2/2*(7 - 6). Let a be k(c). Let q(f) = -f - 1. Let r(x) = -5*x - 4. What is a*r(z) + 4*q(z)? z Let j(p) = 2*p**2 + 4*p + 5. Let s(b) = -b - 18. Let h be s(-13). Let l(v) = -2*v**2 - 3*v - 4. What is h*j(o) - 6*l(o)? 2*o**2 - 2*o - 1 Let c(w) = -12*w + 20. Let s(v) = 4*v - 7. Give -3*c(i) - 8*s(i). 4*i - 4 Suppose -n - 16 = 3*n. Let y(c) = -c**3 + 4*c**2 - 2*c + 3. Let l(k) = 2*k**3 - 9*k**2 + 5*k - 6. Give n*l(w) - 9*y(w). w**3 - 2*w - 3 Let m(g) = -g**2 - 9*g - 21. Let b be m(-6). Let q(s) = -5*s + 2. Let k(d) = 2*d - 1. Determine b*q(y) - 8*k(y). -y + 2 Let y(z) = -z. Let g(o) = -o + 5. Let j(v) = -g(v) - 3*y(v). Let l(a) = 7*a - 9. Let m(r) = r**3 - 12*r**2 - 11. Let h be m(12). Determine h*j(n) + 6*l(n). -2*n + 1 Let l(i) = i**3 + 4*i**2 - 3*i - 9. Let j be l(-4). Let u(y) = 0 + 3 + 0*y + 2*y. Let n(q) = q + 1. Determine j*u(m) - 7*n(m). -m + 2 Let j(x) = -4*x**2 - 2*x + 1. Let i(w) be the third derivative of -w**5/60 - w**4/24 + w**3/6 + 16*w**2. Calculate 3*i(k) - j(k). k**2 - k + 2 Let k(v) = 2*v**3 + 6*v**2 - 5*v - 6. Let t(u) = -2*u**3 - 5*u**2 + 4*u + 5. Determine 5*k(y) + 6*t(y). -2*y**3 - y Let m(x) = x**3 + 2*x**2 - 8*x - 3. Let t(c) = -c**2 + c + 1. Let y(j) = m(j) + 5*t(j). Let k(p) = p**3 - p**2 - p. Let q = -5 + 4. Calculate q*y(f) + 3*k(f). 2*f**3 - 2 Let i = 1 + 2. Let b(z) = 6 - z**3 - 6*z**2 - i*z + 3*z. Let n(m) be the first derivative of m**4/2 + 11*m**3/3 - 11*m - 11. What is -7*b(c) - 4*n(c)? -c**3 - 2*c**2 + 2 Let m(v) = v + 13. Let r(u) = u + 24. Let t(y) = -5*m(y) + 3*r(y). Suppose x + 2*x = -5*g - 15, -5 = x - g. Let q(s) = -s + 5. What is x*t(n) + 7*q(n)? 3*n Let p(o) = -5*o + 5. Let b(z) = z**2 - 6*z + 6. Suppose 9 = -2*r + 21. Determine r*p(x) - 5*b(x). -5*x**2 Suppose -3*g + 80 = -4*w, -3*g + 40 + 44 = -3*w. Let x(o) = -44*o - 32. Let a(t) = 4*t + 3. What is g*a(r) + 3*x(r)? -4*r Let w(d) be the first derivative of 3*d**3 - 7*d**2/2 - 3*d - 1. Let o(u) = 14*u**2 - 11*u - 5. Let f = 45 + -37. Give f*w(b) - 5*o(b). 2*b**2 - b + 1 Let j(r) = 2*r**3 + r**2 + 7*r - 5. Let a(q) = q**3 + q**2 + 4*q - 3. Let l(m) = m - 11. Let u = 26 + -18. Let s be l(u). Give s*j(c) + 5*a(c). -c**3 + 2*c**2 - c Let m(c) = -14 + 44 - 14 - 17. Let i(z) be the second derivative of -z**3/6 - 3*z**2/2 - z. Determine -i(d) + 3*m(d). d Let b(u) = -3*u - 2. Let i(r) = -9*r - 5. What is 11*b(j) - 4*i(j)? 3*j - 2 Let c(s) = -19*s - 4. Let t(i) = -19*i - 3. Give 2*c(d) - 3*t(d). 19*d + 1 Let a(l) = 2*l - 2. Let r(y) be the first derivative of 1 + y + 2*y - 2*y. Let t be (5 - 7) + (2/(-1))/(-2). Give t*a(u) - 2*r(u). -2*u Let x(y) = -6*y + 10. Let c(f) = -f - 1. Give 8*c(i) + x(i). -14*i + 2 Let u(y) = -y. Let n(s) be the first derivative of -s + 7. What is -n(t) + 4*u(t)? -4*t + 1 Let f(w) = w. Suppose -5*j - 2*q - 5 = 2, -3*j = -3*q + 21. Let k(n) = -n**3 + n. Determine j*k(p) + 3*f(p)
{ "pile_set_name": "DM Mathematics" }
lculate the remainder when 97238 is divided by 520. 518 What is the remainder when 648503 is divided by 154? 9 What is the remainder when 79871 is divided by 64? 63 What is the remainder when 40081 is divided by 20027? 27 What is the remainder when 316221 is divided by 2325? 21 Calculate the remainder when 560986 is divided by 29525. 11 What is the remainder when 21711 is divided by 75? 36 What is the remainder when 7469 is divided by 437? 40 Calculate the remainder when 6897 is divided by 766. 3 Calculate the remainder when 114191 is divided by 345. 341 Calculate the remainder when 610 is divided by 116. 30 Calculate the remainder when 68148 is divided by 562. 146 What is the remainder when 23693 is divided by 400? 93 What is the remainder when 141187 is divided by 15682? 49 What is the remainder when 11400 is divided by 146? 12 Calculate the remainder when 110228 is divided by 265. 253 Calculate the remainder when 113319 is divided by 101. 98 Calculate the remainder when 278624 is divided by 347. 330 Calculate the remainder when 66333 is divided by 55. 3 Calculate the remainder when 101027 is divided by 24. 11 What is the remainder when 33711 is divided by 49? 48 What is the remainder when 172996 is divided by 25? 21 Calculate the remainder when 17509 is divided by 344. 309 Calculate the remainder when 301265 is divided by 164. 161 Calculate the remainder when 19917 is divided by 4969. 41 Calculate the remainder when 246721 is divided by 82231. 28 What is the remainder when 24830 is divided by 24683? 147 What is the remainder when 16674 is divided by 12? 6 What is the remainder when 62935 is divided by 27? 25 Calculate the remainder when 815 is divided by 602. 213 What is the remainder when 1607 is divided by 128? 71 Calculate the remainder when 978 is divided by 121. 10 What is the remainder when 15659 is divided by 3? 2 Calculate the remainder when 53150 is divided by 4825. 75 What is the remainder when 11910 is divided by 3967? 9 Calculate the remainder when 21307 is divided by 7. 6 Calculate the remainder when 44802 is divided by 7. 2 Calculate the remainder when 108225 is divided by 8320. 65 Calculate the remainder when 909227 is divided by 227304. 11 What is the remainder when 47301 is divided by 1478? 5 Calculate the remainder when 1298945 is divided by 644. 641 Calculate the remainder when 123932 is divided by 1511. 30 What is the remainder when 190338 is divided by 924? 918 What is the remainder when 3629998 is divided by 75? 73 What is the remainder when 666 is divided by 201? 63 What is the remainder when 79000 is divided by 378? 376 What is the remainder when 171808 is divided by 46? 44 Calculate the remainder when 80116 is divided by 39. 10 Calculate the remainder when 17131 is divided by 24. 19 Calculate the remainder when 668 is divided by 134. 132 What is the remainder when 29338 is divided by 113? 71 Calculate the remainder when 4334 is divided by 7. 1 What is the remainder when 4928 is divided by 1059? 692 What is the remainder when 12173 is divided by 10? 3 Calculate the remainder when 1374223 is divided by 13. 6 What is the remainder when 624567 is divided by 11? 9 Calculate the remainder when 15795 is divided by 55. 10 What is the remainder when 5203 is divided by 313? 195 What is the remainder when 11673 is divided by 1026? 387 What is the remainder when 1163 is divided by 347? 122 Calculate the remainder when 779 is divided by 569. 210 What is the remainder when 6054 is divided by 124? 102 Calculate the remainder when 108760 is divided by 406. 358 What is the remainder when 437607 is divided by 87? 84 Calculate the remainder when 59567 is divided by 29779. 9 What is the remainder when 9485 is divided by 3147? 44 What is the remainder when 4881 is divided by 242? 41 What is the remainder when 7608 is divided by 1848? 216 What is the remainder when 2859 is divided by 1393? 73 Calculate the remainder when 660 is divided by 52. 36 What is the remainder when 2149210 is divided by 897? 895 Calculate the remainder when 99941 is divided by 16. 5 What is the remainder when 10607 is divided by 16? 15 What is the remainder when 15403 is divided by 497? 493 What is the remainder when 467751 is divided by 14? 11 Calculate the remainder when 19165 is divided by 664. 573 What is the remainder when 193522 is divided by 236? 2 What is the remainder when 7975 is divided by 7973? 2 What is the remainder when 8886 is divided by 13? 7 Calculate the remainder when 667318 is divided by 46. 42 What is the remainder when 23516 is divided by 80? 76 Calculate the remainder when 74971 is divided by 112. 43 Calculate the remainder when 408033 is divided by 187. 186 Calculate the remainder when 7963 is divided by 915. 643 Calculate the remainder when 292798 is divided by 610. 608 What is the remainder when 1951 is divided by 737? 477 What is the remainder when 177019 is divided by 44237? 71 Calculate the remainder when 67978 is divided by 38. 34 Calculate the remainder when 160027 is divided by 161. 154 Calculate the remainder when 1585 is divided by 53. 48 Calculate the remainder when 4542 is divided by 1509. 15 What is the remainder when 115999 is divided by 400? 399 What is the remainder when 26600 is divided by 436? 4 Calculate the remainder when 508001 is divided by 26. 13 Calculate the remainder when 95885 is divided by 9. 8 Calculate the remainder when 39777 is divided by 1518. 309 Calculate the remainder when 898 is divided by 126. 16 Calculate the remainder when 100298 is divided by 16714. 14 Calculate the remainder when 24512 is divided by 4866. 182 Calculate the remainder when 16118 is divided by 365. 58 What is the remainder when 858 is divided by 464? 394 Calculate the remainder when 18994 is divided by 899. 115 What is the remainder when 53814 is divided by 5? 4 Calculate the remainder when 2533 is divided by 254. 247 Calculate the remainder when 13379 is divided by 203. 184 What is the remainder when 8983 is divided by 240? 103 What is the remainder when 267547 is divided by 101? 99 What is the remainder when 12581 is divided by 96? 5 Calculate the remainder when 36448 is divided by 90. 88 Calculate the remainder when 13709 is divided by 159. 35 Calculate the remainder when 1343 is divided by 442. 17 Calculate the remainder when 656 is divided by 33. 29 What is the remainder when 104501 is divided by 4540? 81 Calculate the remainder when 180246 is divided by 106. 46 What is the remainder when 3469 is divided by 135? 94 Calculate the remainder when 51266 is divided by 7. 5 Calculate the remainder when 7527 is divided by 2460. 147 What is the remainder when 828 is divided by 8? 4 What is the remainder when 5034 is divided by 1611? 201 Calculate the remainder when 43920 is divided by 24. 0 What is the remainder when 4489 is divided by 1236? 781 What is the remainder when 104863 is divided by 73? 35 Calculate the remainder when 5587 is divided by 619. 16 Calculate the remainder when 349 is divided by 11. 8 What is the remainder when 4962 is divided by 15? 12 Calculate the remainder when 59630 is divided by 93. 17 Calculate the remainder when 1001 is divided by 148. 113 Calculate the remainder when 1124 is divided by 144. 116 Calculate the remainder when 2532 is divided by 231. 222 Calculate the remainder when 4744 is divided by 809. 699 What is the remainder when 19994 is divided by 77? 51 Calculate the remainder when 3849 is divided by 1553. 743 Calculate the remainder when 1570 is divided by 143. 140 Calculate the remainder when 34764 is divided by 80. 44 What is the remainder when 222270 is divided by 111128? 14 What is the remainder when 9016 is divided by 3000? 16 Calculate the remainder when 878 is divided by 856. 22 Calculate the remainder when 181 is divided by 133. 48 Calculate the remainder when 14270 is divided by 14261. 9 What is the remainder when 337 is divided by 225? 112 What is the remainder when 5343 is divided by 149? 128 Calculate the remainder when 23498 is divided by 11745. 8 Calculate the remainder when 9563 is divided by 380. 63 What is the remainder when 16358 is divided by 32? 6 Calculate the remainder when 953280 is divided by 45. 0 Calculate the remainder when 2572 is divided by 833. 73 What is the remain
{ "pile_set_name": "DM Mathematics" }
ed by -235000 5 Divide -16702 by 21. -2386/3 Divide -6 by 6006. -1/1001 What is -25 divided by -569? 25/569 What is 2060 divided by -4? -515 What is -769878 divided by 807? -954 -5 divided by 45191 -5/45191 What is -53705 divided by -115? 467 -4462 divided by -25 4462/25 Calculate 6 divided by 11407. 6/11407 What is -59856 divided by -16? 3741 What is -4133115 divided by -5? 826623 What is 3663295 divided by -4? -3663295/4 What is -1 divided by 80375? -1/80375 Calculate -39261 divided by 569. -69 -19261 divided by -9 19261/9 -2 divided by 49474 -1/24737 -381070 divided by -719 530 Calculate -43 divided by -792. 43/792 94820 divided by -47410 -2 What is 41 divided by 44601? 41/44601 22991 divided by 22 22991/22 Calculate 534798 divided by 22. 24309 Divide 11868 by -3956. -3 What is -49383 divided by -5487? 9 Calculate -32616 divided by -8154. 4 Calculate -26067 divided by -8. 26067/8 What is 3 divided by 52520? 3/52520 Divide -35368 by 8. -4421 What is 3 divided by -771? -1/257 What is -6 divided by -316841? 6/316841 Divide -2690370 by 59786. -45 -139675 divided by -27935 5 Calculate 755686 divided by -3. -755686/3 What is 69147 divided by -13? -5319 Calculate 419485 divided by -29. -14465 What is 6 divided by 7361? 6/7361 -3229 divided by 5 -3229/5 Divide -38120 by 8. -4765 -5900024 divided by -26 226924 What is 11678 divided by 4? 5839/2 Divide -4 by -278861. 4/278861 Calculate -5830662 divided by 3. -1943554 Calculate -179874 divided by 7. -179874/7 Calculate 1 divided by -134868. -1/134868 What is -15224 divided by -346? 44 Divide 27360 by -2736. -10 Calculate 57 divided by 2798. 57/2798 Calculate 27527 divided by -6. -27527/6 Calculate -31 divided by 7354. -31/7354 Divide 45115 by 7. 6445 What is 12480 divided by 60? 208 Divide 147 by 2849. 21/407 Divide -120520 by -8. 15065 -13750 divided by 13 -13750/13 -1 divided by 248371 -1/248371 38 divided by 493 38/493 Divide 4 by -49614. -2/24807 What is -2 divided by -17783? 2/17783 Calculate -81 divided by -3622. 81/3622 What is 6 divided by -27174? -1/4529 -246468 divided by 2622 -94 What is 167302 divided by -7274? -23 Divide 2 by 1606306. 1/803153 What is -18501 divided by 881? -21 140430 divided by -4 -70215/2 Divide -291480 by -48580. 6 What is 450752 divided by -16? -28172 Calculate 10 divided by 789. 10/789 What is 11 divided by -5151? -11/5151 -4 divided by 2702 -2/1351 What is 82298 divided by 5? 82298/5 -19 divided by -10025 19/10025 Divide -25 by 981. -25/981 Divide 202896 by 11272. 18 Divide -1243302 by -6. 207217 Calculate 791 divided by -361. -791/361 What is -6366 divided by 2? -3183 222 divided by 39 74/13 -83790 divided by -210 399 What is -6560 divided by 32? -205 Calculate -11909 divided by 4. -11909/4 1 divided by -649810 -1/649810 Divide -31 by -18940. 31/18940 Divide 136 by 288. 17/36 -4 divided by -18908 1/4727 -5291 divided by -11 481 Divide 187960 by -508. -370 What is 1 divided by -33881? -1/33881 Divide 125 by 6519. 125/6519 Divide 219854 by 10. 109927/5 Calculate 66492 divided by -9. -7388 Divide 318274 by 11. 28934 What is -2145740 divided by 429148? -5 Calculate -78424 divided by -7. 78424/7 Calculate -86790 divided by 789. -110 What is 45153 divided by -1557? -29 Divide -178058 by -17. 10474 What is 5 divided by 21777? 5/21777 Calculate 12522198 divided by -6. -2087033 What is -3715 divided by -41? 3715/41 Divide -14316 by -1. 14316 What is 452370 divided by 90474? 5 Calculate -78052 divided by -4. 19513 2901160 divided by 70760 41 Divide 453214 by 226607. 2 What is 102678 divided by -2? -51339 Divide 8 by 192953. 8/192953 -63440 divided by -104 610 94542 divided by 3 31514 37876 divided by -2228 -17 Divide 34 by 8506. 17/4253 Calculate 129087 divided by -3. -43029 Divide -38269 by 77. -497 Calculate -5 divided by -1213. 5/1213 What is 3580341 divided by -69? -51889 -133956 divided by -61 2196 Divide 69116 by 4. 17279 Calculate 61152 divided by -196. -312 What is -501 divided by -8? 501/8 What is 0 divided by -169062? 0 What is -387 divided by 619? -387/619 Calculate 507222 divided by -6. -84537 What is -276696 divided by -189? 1464 What is -6 divided by 158440? -3/79220 What is -1170 divided by 45? -26 -866384 divided by -6 433192/3 Divide 681 by 2846. 681/2846 Divide -38500 by -700. 55 Calculate 603 divided by -379. -603/379 Calculate 14081 divided by -1. -14081 Calculate 204764 divided by 102382. 2 24 divided by 4191 8/1397 What is 63979 divided by 3? 63979/3 What is -872016 divided by -11784? 74 Calculate -2907 divided by -367. 2907/367 Divide -112690 by 59. -1910 Calculate -2954622 divided by -11. 268602 Divide 3 by 7627. 3/7627 -4 divided by 11963 -4/11963 What is 35702 divided by 2? 17851 -8033014 divided by 6 -4016507/3 -125490 divided by -5 25098 Divide -2563 by 30. -2563/30 -400113 divided by -261 1533 What is 84062 divided by -49? -84062/49 Divide 30803 by -1. -30803 What is -44414 divided by 419? -106 Divide 1 by -17885. -1/17885 Divide 24 by -13761. -8/4587 2 divided by 52019 2/52019 -675786 divided by -29382 23 Divide 904 by 459. 904/459 Calculate 11 divided by 101911. 11/101911 What is 1432 divided by 744? 179/93 What is -1049562 divided by 6? -174927 Calculate -1377380 divided by -4. 344345 -171600 divided by -15 11440 What is 2 divided by -29731? -2/29731 Calculate 6705 divided by -647. -6705/647 What is -1207143 divided by 402381? -3 Divide 2731344 by 248304. 11 Divide -2 by -17789. 2/17789 4200 divided by 60 70 What is 4 divided by -11233? -4/11233 What is -3 divided by 5180? -3/5180 Divide -98 by -271. 98/271 Calculate -21462 divided by -3. 7154 Calculate -53768 divided by 6721. -8 11856 divided by 228 52 Calculate 11 divided by -1033. -11/1033 -37149 divided by 49 -5307/7 Calculate -1004676 divided by -2. 502338 4487080 divided by -897416 -5 What is 2406976 divided by 208? 11572 Divide 847395 by 6. 282465/2 What is -32 divided by 1460? -8/365 Calculate -1819068 divided by 37. -49164 What is 7704095 divided by 6? 7704095/6 What is 394220 divided by 4? 98555 What is 16512 divided by -1032? -16 What is 2989923 divided by -3? -996641 Calculate 55260 divided by 5. 11052 Divide 394130 by -78826. -5 Divide 526743 by -21. -25083 Calculate 6290990 divided by -1258198. -5 Divide 66912 by -4. -16728 Calculate -47 divided by 26223. -47/26223 Calculate 56 divided by -10063. -56/10063 What is 34724 divided by -8681? -4 What is 5 divided by -2010? -1/402 Divide 1394600 by 18350. 76 What is 432 divided by 216? 2 589092 divided by -196364 -3 What is 455000 divided by 13? 35000 Calculate -11591 divided by 67. -173 Calculate 29 divided by -1368. -29/1368 What is 198492 divided by 5? 198492/5 Divide -424151 by -59. 7189 Divide 28560 by -3570. -8 Divide -486255 by 7. -69465 Divide -1433161 by -46231. 31 Divide 4897 by 89. 4897/89 -5 divided by -70095 1/14019 Divide -86700 by 1020. -85 Divide 467170 by -3410. -137 -23454 divided by 3 -7818 -7104 divided by -2 3552 Calculate 153214 divided by -3. -153214/3 Divide -214084 by -716. 299 2047176 divided by -511794 -4 -438948 divided by 3204 -137 29442 divided by 4206 7 What is 3088 divided by -2? -1544 Divide 24186 by -9. -8062/3 -448392 divided by 21 -21352 What is -15894 divided by 7947? -2 Divide 119053 by 1507. 79 -10686 divided by -13 822 24941 divided by 509 49 Divide -7 by 1390. -7/1390 What is -42 divided by 5562? -7/927 34785 divided by 2319 15 Calculate 2 divided by -880640. -1/440320 1294 divided by 282 647/141 Calculate -164027 divided by 89. -1843 6 divided by -9025 -6/9025 Divide 96900 by -323. -300 1466052 divided by 3378 434 Calculate 6834058 divided by 2189. 3122 Calculate -4057 divided by -290. 4057/290 What is -2 divided by 1044898? -1/522449 732023 divided by 6 732023/6 Calculate -305040 divided by 3. -101680 Calculate 124 divided by 637. 124/637 What is 352224 divided by 4? 88056 What is -90341 divided by 6? -90341/6 -6 divided by 2328 -1/388 Calculate 112 divided by -13929. -112/13929 -9002 divided by -5 9002/5 -2046 divided by -3 682 Divide 21282 by 3547. 6 0 divided by -30326 0 -129 divided by 381 -43/127 Calculate -296114 divided by 42302. -7 Divide 26 by 10871. 26/10871 Divide 80070 by -2669. -30 Calculate 1581928 divided by -395482. -4 1986 divided by 2 993 -10 divided by 52223 -10/52223 D
{ "pile_set_name": "DM Mathematics" }
In base 7, what is 12135 + -6? 12126 In base 14, what is 72 - 50bb? -5049 In base 5, what is 104144 - 1422? 102222 In base 4, what is -1022 + 212111? 211023 In base 2, what is -1011 - -1000100101110? 1000100100011 In base 6, what is 124 - 51131? -51003 In base 13, what is -67a25 + 4? -67a21 In base 5, what is -21420322 + -3? -21420330 In base 10, what is 5 + -875662? -875657 In base 14, what is d4 + -1c15? -1b21 In base 13, what is -5 - 5304? -5309 In base 12, what is -1124 + -8? -1130 In base 7, what is 3 - -6656? 6662 In base 4, what is 231 + -13032? -12201 In base 12, what is -54035 + 3? -54032 In base 5, what is -142343 + 4? -142334 In base 11, what is 35868 - -3? 35870 In base 16, what is 9 - 13a37? -13a2e In base 12, what is 141 - -2191? 2312 In base 16, what is a388 + 5? a38d In base 9, what is 357 - -4821? 5278 In base 3, what is -100000002 + 121? -22222111 In base 4, what is 31321 + 11? 31332 In base 16, what is -884 - -33? -851 In base 12, what is -6127b - -4? -61277 In base 13, what is -63 + 8b6? 853 In base 5, what is -10 - 213322? -213332 In base 6, what is 1 - 1122540? -1122535 In base 8, what is 3 - 55555? -55552 In base 12, what is 6 - a620? -a616 In base 2, what is -1001000111001101111 + -1? -1001000111001110000 In base 9, what is -2 + -1082201? -1082203 In base 14, what is -1730d7d + 2? -1730d7b In base 8, what is -1061320 + 5? -1061313 In base 9, what is 556 - -2860? 3526 In base 9, what is 2 + 84000? 84002 In base 15, what is 10 - -c03d? c04d In base 6, what is -321 + 5342? 5021 In base 6, what is 5 - 13150512? -13150503 In base 12, what is 0 - -7b62? 7b62 In base 2, what is -1111110101111110 + -10? -1111110110000000 In base 12, what is 1251 + -7b? 1192 In base 10, what is -137 - 160? -297 In base 10, what is -22306 + -149? -22455 In base 3, what is 100022010011 + 12? 100022010100 In base 16, what is 5 + 964cd? 964d2 In base 14, what is -4da7 + 6? -4da1 In base 7, what is 13416 - 25? 13361 In base 7, what is 50 - 16426? -16346 In base 9, what is -352 + -658? -1121 In base 5, what is -23 + 440011? 434433 In base 14, what is 105 + 337? 43c In base 11, what is -2470 - -234? -2237 In base 11, what is 16 + aa? 115 In base 2, what is 110001000011101 - 0? 110001000011101 In base 2, what is -101011001110 - 110010010? -110001100000 In base 4, what is -103311 + -33102? -203013 In base 15, what is d7d - -1? d7e In base 11, what is -7197 + -4? -71a0 In base 10, what is 2763917 - 3? 2763914 In base 13, what is -4 + 78c6? 78c2 In base 3, what is -1121020 - -110? -1120210 In base 6, what is 20512 - -11455? 32411 In base 2, what is 100 + 1001001001111? 1001001010011 In base 11, what is -5 + 186114? 18610a In base 14, what is 3492 - -2? 3494 In base 15, what is d3 + 14a2? 1585 In base 15, what is -3ab + d90? 9d4 In base 13, what is a - 577c6? -577b9 In base 15, what is -277 - -1a? -25c In base 12, what is -1 + -41a5? -41a6 In base 9, what is 220 + -148? 61 In base 11, what is -2 - -258a2? 258a0 In base 7, what is 230 - -421? 651 In base 2, what is 1 + -1100001001011011? -1100001001011010 In base 15, what is 682 - 18e? 4e3 In base 2, what is -10 - -100101000011101? 100101000011011 In base 10, what is -475 + 288? -187 In base 8, what is -2 + -257351? -257353 In base 5, what is 4 + -14041011? -14041002 In base 12, what is 4 + -6825a? -68256 In base 4, what is -11 - 3101022? -3101033 In base 4, what is 1012 - 200111? -133033 In base 10, what is -117480 + 3? -117477 In base 7, what is -46 - 200331? -200410 In base 3, what is -1211121200 - -210? -1211120220 In base 4, what is 10 + -12221313010? -12221313000 In base 3, what is 10 + 122002002? 122002012 In base 12, what is -241 - -873? 632 In base 15, what is -1705 + -e? -1714 In base 7, what is -104 + 11663? 11556 In base 15, what is a - -34a7e? 34a89 In base 4, what is 1 + -2122301? -2122300 In base 4, what is -1302301 - -301? -1302000 In base 8, what is 3710 - -333? 4243 In base 7, what is 13 - 1242523? -1242510 In base 6, what is -101253 - 0? -101253 In base 7, what is -120106 + 3? -120103 In base 6, what is 14313 + -45? 14224 In base 4, what is -2113122322 - 10? -2113122332 In base 14, what is 7 + -47? -40 In base 16, what is 16c - -ed? 259 In base 10, what is -257 - -168? -89 In base 4, what is 131203333 + -10? 131203323 In base 4, what is -1 - 230333120? -230333121 In base 14, what is -2 + 7d750? 7d74c In base 12, what is -1 + 7aa? 7a9 In base 13, what is 6919 + 5? 6921 In base 8, what is -524310 + -5? -524315 In base 12, what is -1134852 - 5? -1134857 In base 12, what is -a364 + 35? -a32b In base 7, what is 34554 + -460? 34064 In base 3, what is 20021 + 201011? 221102 In base 6, what is -102 + 5125? 5023 In base 11, what is 902 + a? 911 In base 8, what is -677 + 5137? 4240 In base 14, what is -45 - 93? -d8 In base 12, what is -7 - -483? 478 In base 12, what is -80 + -7a9? -869 In base 3, what is 1220 - -20020? 22010 In base 14, what is 202da + 13? 2030d In base 8, what is 14356 - -5? 14363 In base 4, what is 21203212 + -1132? 21202020 In base 16, what is 56a - -6? 570 In base 11, what is 56a73 - -2? 56a75 In base 10, what is -4 - 33073? -33077 In base 16, what is -1a - a1? -bb In base 11, what is 4 - 14947? -14943 In base 15, what is -1e - -c3cd? c3ae In base 14, what is -b9 + -16a? -245 In base 15, what is 2684d + -2? 2684b In base 15, what is 0 - 178e40? -178e40 In base 14, what is -230ad - -21? -2308c In base 5, what is 103111102 + -3? 103111044 In base 14, what is 29d3 - -6c? 2a61 In base 13, what is -95 - -3c9? 334 In base 10, what is 4 - -16468? 16472 In base 14, what is 120b - -22? 122d In base 5, what is -1012 + 3122? 2110 In base 15, what is -559 + -50? -5a9 In base 16, what is -1 + 1027? 1026 In base 10, what is 1 - -22913? 22914 In base 2, what is 1 - 10111011010100? -10111011010011 In base 4, what is -1100 - 11313? -13013 In base 2, what is 11 - 100011011000100? -100011011000001 In base 8, what is -75 + 120646? 120551 In base 16, what is 437 + -13a? 2fd In base 2, what is -10001010110100001111 - -11? -10001010110100001100 In base 2, what is 11001000 - 101111101010? -101100100010 In base 9, what is 171740 - 3? 171736 In base 12, what is 13b566 - -1? 13b567 In base 8, what is -27746 - -3? -27743 In base 9, what is -1 - -238238? 238237 In base 8, what is -32 + -12757? -13011 In base 10, what is 3528 - 9? 3519 In base 7, what is 16 - 20451? -20432 In base 7, what is 22 + -6324? -6302 In base 13, what is -312a - -3a? -30c0 In base 6, what is -50 - -2335? 2245 In base 6, what is 40041 - -3? 40044 In base 4, what is 2203023 - 3231? 2133132 In base 6, what is -25234 + 32? -25202 In base 4, what is -32 - -133123? 133031 In base 15, what is -6 + -7956? -795c In base 13, what is 7 - 10a54? -10a4a In base 8, what is 2 - 113062? -113060 In base 13, what is -1046b3 - -6? -1046aa In base 2, what is -11 + 1000110011000100? 1000110011000001 In base 13, what is -c460 - 2c? -c48c In base 9, what is 114080 + -5? 114074 In base 2, what is -100 + 110101111001110011? 110101111001101111 In base 12, what is 819a - -1? 819b In base 2, what is -1000011001001111 + -1010? -1000011001011001 In base 11, what is -2493a96 + -2? -2493a98 In base 12, what is 20 - -1545? 1565 In base 8, what is -23162 - -32? -23130 In base 3, what is -1101 + 11100122? 11022021 In base 16, what is 58 - 18b? -133 In base 16, what is 103 + 3456? 3559 In base 11, what is -1a5760 - 0? -1a5760 In base 3, what is 1212112 - 1011112? 201000 In base 2, what is 10110111111 - -100011001? 11011011000 In base 11, what is 50 + 3779? 3819 In base 15, what is ac71 + 11? ac82 In base 6, what is -4551005 - -2? -4551003 In base 9, what is 455 + -2401? -1835 In base 6, what is -5342152 - 2? -5342154 In base 14, what is 47ba4 + 4? 47ba8 In base 2, what is -101101110010100110 - -101? -101101110010100001 In base 8, what is 3131 + -1725? 1204 In base 13, what is 37 + 10? 47 In base 4, what is -12002103 - 113? -12002222 In base 16, what is -337 + -1d? -354 In base 7, what is 5 - 1341612? -1341604 In base 16, what is 67 - fae? -f47 In base 9, what is -6614 + 2? -6612 In base 9, what is 1204560 + -2? 1204557 In base 4, what is 101103 + -103200? -2031 In base 7, what is -11416 - -5? -11411 In base 12, what is 123b5 - 1? 123b4 In base 13, what is 11 - 87?
{ "pile_set_name": "DM Mathematics" }
y + f. Let d be 11 + (-10)/(-5) - 10. Calculate the greatest common factor of d and y. 3 Let p be (-24)/1*(2 + (0 - 3)). What is the greatest common factor of p and 912? 24 Let b = 13 + 1. Let u = -5 + b. Calculate the greatest common factor of u and 99. 9 Let x be 6/36 + 2/(-12). Let p be (x/1)/(-8 + 9). Suppose p = 5*k - 4*k - 18. What is the greatest common factor of k and 2? 2 Let q(c) = 3*c + 12. Let j be q(20). What is the highest common factor of 8 and j? 8 Let q be 3/30*6 + 3136/40. Suppose 0 = -4*k - h + q, -64 = -3*k + 3*h - 1. Let m be (2 + 0)*(-10)/(-4). What is the highest common factor of m and k? 5 Let z(c) = 2*c**2 + 3*c + 7. Let p be z(-3). What is the highest common divisor of p and 1296? 16 Let a be -10 + -6*(-1)/2. Let w = a + 30. Suppose -3*t = 4*n - 2*t - 733, 365 = 2*n + t. What is the highest common divisor of w and n? 23 Let w = 84 - 192. Let s = 119 + w. Calculate the highest common factor of 1 and s. 1 Suppose 37 = 4*g - 5*l, -g - 2*g + 4*l = -28. Suppose -6*w + g*w = 6. Let a = -51 - -78. What is the greatest common divisor of a and w? 3 Let i = 3 + -2. Let f = -28 - -30. Calculate the greatest common divisor of i and f. 1 Let b(t) = -8*t + 25. Let a be b(-10). What is the greatest common factor of a and 35? 35 Let x(j) = -j**2 + 8*j - 3. Let i be x(7). Let a be 14*(-3 + i) + 1. Suppose 3*d - a = 24. Calculate the highest common divisor of 65 and d. 13 Suppose h = -4*f + 6*f - 8, -3*f = -4*h - 7. What is the greatest common factor of 372 and h? 2 Suppose -6*r + 3*r + 18 = 0. Suppose -4 = -2*m - r. Let n be m/(-5) + (-114)/(-5). What is the greatest common divisor of 92 and n? 23 Let u be (-44)/(-10) + (-18)/45. Let w(c) = 23*c + 1 + 2 - 4 - 12*c. Let y be w(3). Calculate the highest common factor of y and u. 4 Let q(z) = -z - 15. Let o be q(11). Let g = -22 - o. Calculate the greatest common divisor of 12 and g. 4 Suppose 2*r - 462 + 268 = 0. What is the highest common divisor of r and 1? 1 Let w be (-5)/2*(8 - 560/50). Calculate the greatest common factor of w and 136. 8 Let j = 485 + -419. Let c(n) = n**3 + 5*n**2 - 2*n - 4. Let a be c(-5). Calculate the highest common divisor of j and a. 6 Let r = -20 - -23. Suppose 5*m + 2*d = 227, 0 = -m + r*d - 4 + 46. Let s(k) = -k**2 + 6*k + 5. Let n be s(6). What is the greatest common divisor of n and m? 5 Suppose 0 = w + 7 + 5. Let y = 18 + w. Suppose -c - 45 = -2*r, r - y*r + c + 105 = 0. Calculate the highest common divisor of r and 4. 4 Let m be (-153)/6*-2 - -2. Suppose 0 = w - u - m - 16, 0 = -4*w - 3*u + 283. Let j be (40/6)/((-56)/(-84)). What is the highest common factor of j and w? 10 Let w = -7 + 5. Suppose -k - 2*h = -5*h + 18, -2*k - 5*h - 80 = 0. Let u = w - k. What is the greatest common divisor of 42 and u? 14 Let i be 349 + 83 + (-3 - 0). What is the highest common factor of i and 156? 39 Let q be 49/21 - (2/(-6))/(-1). Suppose -q*z - 2*p + 58 = 0, -z = 4*p - 24 - 20. What is the highest common factor of 3 and z? 3 Let w = 8 - 6. Suppose t - 59 = w*f, t + 4*f - 2*f - 71 = 0. Let g be (27 - 1)/(3 + -2). Calculate the highest common factor of g and t. 13 Let b(v) = -v**2 + 10*v + 5. Let f be b(5). Suppose 4*r = -r + 40. Let u(q) = -q**2 + 10*q + 4. Let g be u(r). What is the highest common divisor of g and f? 10 Let j(k) = 9*k + 20. Let x be j(4). Calculate the highest common divisor of 7 and x. 7 Suppose 137 + 35 = 2*t - 3*d, -2*t + 176 = -4*d. Suppose 21*c - 234 = 438. What is the highest common divisor of t and c? 16 Suppose 33*x - 8*x - 241 - 659 = 0. Let d be 58/6 - (-4)/(-6). Calculate the highest common factor of d and x. 9 Let y be -4 - 53/(-6) - 1/(-6). Let r = 110 + y. What is the greatest common divisor of 23 and r? 23 Let x(t) = 7*t - 7 - 3*t + 0*t. Let v be x(5). Let c be 39/(2 - 15/9). Calculate the highest common divisor of v and c. 13 Suppose 2*t + 3*a - 476 = 0, t - 492 = -t + a. Suppose 134 + t = 7*j. What is the highest common divisor of j and 18? 18 Let m = 9 + -9. Suppose 2*t = -2*t - 4*z + 356, -3*t - 5*z + 265 = m. Calculate the greatest common divisor of 10 and t. 10 Suppose -m + 4 = -3*m + 3*u, 0 = 3*m - 2*u - 4. Let a = 1797 + -1792. Calculate the greatest common factor of a and m. 1 Let x be 10/2 + -11 + 197 + 1. What is the greatest common factor of x and 3? 3 Let r(c) = 4*c - 9. Let m be r(6). Let p = 8 - m. Let y(n) = -n + 3. Let l be y(p). Calculate the greatest common divisor of 25 and l. 5 Suppose -5*o - 54 = o. Let x = -10 - o. Let a be (x/1)/(2/(-14)). What is the highest common factor of 1 and a? 1 Let t be 3*(-867)/(-3) - -2. Calculate the highest common divisor of t and 237. 79 Suppose 77 = 8*z - 83. Suppose 2 = -3*g + 17. Suppose 3*f = k + 61, -4*f + k = -g*f + 19. Calculate the highest common factor of z and f. 20 Suppose -t - 4*t = 0. Suppose 5*m = -t*m + 60. Let r be ((-60)/m)/(1 + -2). Calculate the greatest common divisor of r and 10. 5 Let y = 152 - -475. What is the highest common factor of y and 66? 33 Let o be 9 - 3 - 1 - 1. Suppose 0 = -3*y - 1 + o. Suppose 0 = -k - y, 18 = -q + 4*q + 3*k. Calculate the greatest common divisor of q and 35. 7 Suppose -5*i - 7 = -3*t - 34, 4*i - 20 = 2*t. Suppose 24 = -i*d + 6*d. Calculate the highest common factor of d and 56. 8 Let h = 381 + -370. Calculate the greatest common factor of 9 and h. 1 Suppose 2*o - 4 = -0*o. Suppose -o*j = j - 21. Suppose -8*k - 92 = -372. Calculate the highest common factor of k and j. 7 Suppose 5*h - 648 = -v - v, -4*h - 1240 = -4*v. Suppose 3*z + 2*o + 53 - 299 = 0, -4*z + 2*o = -v. Calculate the highest common divisor of 48 and z. 16 Suppose 0 = -5*w - 17 + 52. Let o(v) = v**2 + 7*v - 2. Let m be o(-6). Let f = m - -15. What is the greatest common factor of w and f? 7 Suppose 2*o - 18 = -3*d, 2*o = -o + 5*d - 11. Let c(s) = -11*s + 11. Let r be c(-2). Calculate the greatest common divisor of r and o. 3 Let c be (-274)/(-18) + 6/(-27). Let r be -2*2/8*0. Suppose 4*w = l + 296, 4*w + r*l + 2*l = 308. What is the highest common divisor of w and c? 15 Let q(u) = -205*u + 466. Let r be q(2). Calculate the greatest common factor of r and 28. 28 Let s = 3 - 1. Suppose 4*p - 432 = s*p. Let n = 363 - p. What is the highest common factor of 21 and n? 21 Suppose 29 - 9 = -2*d. Suppose 5*k = 20, -5*h + 4*h - 4*k + 9 = 0. Let i = h - d. What is the highest common factor of i and 33? 3 Let p be 212/(4/1) - (-6 + -1). What is the greatest common factor of p and 900? 60 Suppose -52*v = -49*v - 15. Suppose 5*t = 7*t - v*x - 673, -3*x + 9 = 0. What is the greatest common factor of t and 43? 43 Suppose -5*a + 387 = -128. Suppose 47 = 2*j - 5*g, 5*j - a - 40 = 4*g. Let n = 49 - j. Calculate the highest common divisor of n and 54. 18 Suppose 35*p = -300 + 2260. What is the highest common divisor of 35 and p? 7 Suppose -245 = 6*v - 611. Calculate the greatest common divisor of 427 and v. 61 Let y be (24/18 + 0)*36. Suppose 3*s = 29 + 67. What is the highest common factor of s and y? 16 Suppose -21*q + 15*q + 1104 = 0. Let i = 85 - 62. Calculate the highest common divisor of q and i. 23 Let l(a) = a**2 - a - 2. Let d be l(3). Suppose -3*x = 3*c + 7 - 40, c = -d*x - 1. Calculate the highest common factor of 30 and c. 15 Let f(a) = 7*a**2 + 66*a - 24. Let w be f(-22). Calculate the highest common divisor of w and 8. 8 Let l(n) = -n**2 + 26. Let x be l(0). Suppose 4*v + 44 = 3*y - 12, 4*y + 2*v = 82. Suppose -24*z = -y*z - 156. Calculate the highest common factor of z and x. 13 Let b(c) = 3*c - 21. Let i be b(8). Suppose -2*j - 2 = -i*j. What is the greatest common factor of 6 and j? 2 Let b(v) = v**3 - 4*v**2 - 4*v - 3. Let p be b(5). Let m = 31 - p. Let c(x) = -52*x + 1. Let n be c(-5). Calculate the highest common factor of m and n. 29 Suppose 4*z + 2*l - 34 = 4*l, 0 = 5*z - 5*l - 35. Let b be (-292)/z - 3/(-15). Let n = b + 51. What is the greatest common factor of n and 88? 22 Let y = -1 - 106. Let j = -97 - y. What is the greatest common divisor of 1 and j? 1 Suppose -c - 538 = -4*c + 2*i, -5*i + 5 = 0. What is the highest common factor of c and 5? 5 Let m(k) = -5*k + 458. Let g be m(70). What is the greatest common factor of 27 and g? 27 Let h = 22 + 63. Let q = -287 + 304. Calculate the greatest common divisor of q and h. 17 Let c(o) = -18*o - 128. Let b b
{ "pile_set_name": "DM Mathematics" }
is -2011102 - 1101002? -10112111 In base 2, what is -10011100011011 + -10010? -10011100101101 In base 11, what is -2 + 8389? 8387 In base 6, what is -2544 - -325? -2215 In base 9, what is -2 - -288148? 288146 In base 16, what is -287b4 + 0? -287b4 In base 14, what is -38 - 27838? -27872 In base 14, what is -2 - a684? -a686 In base 2, what is 0 - 1000010101011011? -1000010101011011 In base 3, what is -12010202001 - -11? -12010201220 In base 3, what is 2 + -100022021001? -100022020222 In base 9, what is -562 + -3234? -3806 In base 9, what is -38182 - 8? -38201 In base 13, what is -19 + -335? -351 In base 9, what is -53 - 2348? -2412 In base 9, what is 400087 - -4? 400102 In base 9, what is 53636 - 22? 53614 In base 4, what is -1131312 + -123? -1132101 In base 11, what is 17 - -65345? 65361 In base 11, what is -a3520 + 0? -a3520 In base 4, what is 13003201303 - -3? 13003201312 In base 5, what is -2012142 - 1? -2012143 In base 14, what is -72b + 31? -6da In base 10, what is -459 - -63? -396 In base 13, what is 212632 + -3? 21262c In base 9, what is -7011 - 151? -7162 In base 5, what is 4014013 - -4? 4014022 In base 13, what is 169 - 10? 159 In base 13, what is 3231 + -8? 3226 In base 7, what is 10641465 + 1? 10641466 In base 9, what is -84271 + -50? -84331 In base 4, what is -110032 - 20011? -130103 In base 4, what is 20033 - -3000? 23033 In base 13, what is b938 + 5? b940 In base 15, what is 2886 + -4e? 2837 In base 13, what is -6 - -1a4cb? 1a4c5 In base 2, what is 11 + -10110100001000111100? -10110100001000111001 In base 10, what is 12 + 196314? 196326 In base 4, what is -331013 + -21? -331100 In base 7, what is 146653 + 3? 146656 In base 8, what is -35170657 + 2? -35170655 In base 15, what is -2 - e3? -e5 In base 10, what is -9352 - 5? -9357 In base 13, what is -511 + -51? -562 In base 3, what is 2 - -1210000201? 1210000210 In base 12, what is 1 + -26791? -26790 In base 9, what is -1430771 + -4? -1430775 In base 16, what is 2612a - 2? 26128 In base 7, what is -233245 - -25? -233220 In base 4, what is -11 - 210222? -210233 In base 15, what is 31b - -14? 330 In base 16, what is 79d + 8? 7a5 In base 5, what is -112 + 43441? 43324 In base 7, what is -151412 + -13? -151425 In base 6, what is 145 - -100045? 100234 In base 4, what is 0 + -2202012? -2202012 In base 4, what is -1332 - 2002? -10000 In base 8, what is -21 - -1617? 1576 In base 14, what is 3 - 681? -67c In base 4, what is 11 + 132113213? 132113230 In base 12, what is -2a2 - -492? 1b0 In base 14, what is -110 - 65? -175 In base 12, what is -449 + -1a3? -630 In base 8, what is -13525 + 1? -13524 In base 5, what is 332404 - 1? 332403 In base 6, what is 35 - 1523340? -1523301 In base 5, what is 4 - 11411243? -11411234 In base 10, what is -13249 + -84? -13333 In base 9, what is -11 - -23242? 23231 In base 3, what is -10011 + 122222211? 122212200 In base 3, what is -1 + 201122011? 201122010 In base 7, what is 1155665 - -14? 1156012 In base 5, what is 24043434 - 10? 24043424 In base 11, what is 4 + 1316a? 13173 In base 7, what is 1452 + -4? 1445 In base 2, what is 101100100011000000 - -1010? 101100100011001010 In base 14, what is 7 - -22969? 22972 In base 2, what is 11000 + 10100010111? 10100101111 In base 14, what is -1c860 - -23? -1c83b In base 10, what is -515 - -1552? 1037 In base 12, what is -12 + b23? b11 In base 4, what is 1223 - -10303? 12132 In base 12, what is -5 + -4250a? -42513 In base 9, what is -4761 - -7? -4753 In base 5, what is -43400 - 104? -44004 In base 16, what is 176 - 20? 156 In base 3, what is -22 + 10220201221? 10220201122 In base 10, what is 619 + 50? 669 In base 10, what is -298424 - 0? -298424 In base 13, what is -3 - 43937? -4393a In base 14, what is 831 - 38? 7d7 In base 16, what is -2 + -5d80a? -5d80c In base 7, what is -44 - 1112312? -1112356 In base 12, what is -7 + 1028a? 10283 In base 12, what is -2428 - -3? -2425 In base 15, what is bd - -cb6? d84 In base 6, what is 2 - -4200310? 4200312 In base 7, what is -35 - -100350? 100312 In base 3, what is -10222 - -12? -10210 In base 4, what is 132 + 3002001? 3002133 In base 7, what is 1 - 1235064? -1235063 In base 5, what is -430142 + 210? -424432 In base 14, what is 5722 - a? 5716 In base 11, what is -1360 + 7? -1354 In base 4, what is 11213301323 - -11? 11213302000 In base 6, what is 30 + 1254253? 1254323 In base 8, what is -5 - 144465? -144472 In base 5, what is -1 + -424421? -424422 In base 13, what is -6 - -21535? 2152c In base 2, what is 1111110 - 1001001? 110101 In base 16, what is -aaf9 - -7? -aaf2 In base 3, what is 2020000121 - 22? 2020000022 In base 8, what is 2062 + 2313? 4375 In base 14, what is -1 + -2bd76? -2bd77 In base 8, what is 1415 + 353? 1770 In base 8, what is 3 - -420172? 420175 In base 12, what is -4 + b47? b43 In base 9, what is -1 - 7861? -7862 In base 16, what is 35 + -113d3? -1139e In base 4, what is 113200 - -1100? 120300 In base 10, what is -4 + 296? 292 In base 15, what is -6d - 1387? -1405 In base 15, what is b6a + -3b? b2e In base 11, what is 2263 + 10? 2273 In base 9, what is 3 - 4558? -4555 In base 3, what is -120212100 + -12? -120212112 In base 12, what is 12405 - -2? 12407 In base 12, what is -145264 - 2? -145266 In base 2, what is 1011011011 - -10001110100? 11101001111 In base 10, what is -8 - -209407? 209399 In base 12, what is 4a113 - 1? 4a112 In base 4, what is 0 - -311122122? 311122122 In base 9, what is 46544 - 5? 46538 In base 14, what is -5 + -a67? -a6c In base 5, what is -1 + 104402421? 104402420 In base 14, what is -5480b - -2d? -547bc In base 7, what is 10 - -1111540? 1111550 In base 13, what is 2 - 2460a? -24608 In base 7, what is 2 + 151043? 151045 In base 5, what is -241400 + 0? -241400 In base 2, what is -10010000100 - -1000001? -10001000011 In base 11, what is 10710 - 6a? 10651 In base 3, what is 1 + -10100021211? -10100021210 In base 12, what is bab + -499? 712 In base 12, what is -145 - 2a5? -42a In base 10, what is 10 + 35113? 35123 In base 8, what is 101 - 670? -567 In base 6, what is -222111 - 112? -222223 In base 9, what is -367030 - -2? -367027 In base 12, what is 5 - -7b00? 7b05 In base 15, what is 5481 - b? 5475 In base 2, what is 100101110010 - 1? 100101110001 In base 16, what is 5 - 2ace? -2ac9 In base 14, what is ba5 - 7? b9c In base 12, what is b3 + -132? -3b In base 10, what is -19180 - 19? -19199 In base 13, what is 3b + 206? 244 In base 9, what is -115264 + -1? -115265 In base 15, what is -1 - -1813? 1812 In base 10, what is 4533 - -8? 4541 In base 16, what is -4687 + -4d? -46d4 In base 14, what is -10001 + -1? -10002 In base 15, what is 16ea + -40? 16aa In base 10, what is -8 + 201595? 201587 In base 6, what is 4 + 12320? 12324 In base 7, what is 3326662 + 0? 3326662 In base 6, what is -131 - -422? 251 In base 8, what is 1 + -623476? -623475 In base 10, what is 30400 + 142? 30542 In base 5, what is 1234 + -243? 441 In base 5, what is -102 - 43020? -43122 In base 2, what is -11010111001 + -100111? -11011100000 In base 5, what is -440 + 141120? 140130 In base 7, what is -12 - -25250? 25235 In base 7, what is 51333 + 6? 51342 In base 3, what is 1222122221 - 1112? 1222121102 In base 5, what is 1014 - 3322? -2303 In base 9, what is -1667 - 16? -1684 In base 7, what is -16501 + -12? -16513 In base 4, what is -11 + 21010103? 21010032 In base 12, what is 39 + -122? -a5 In base 12, what is 5 - -103a? 1043 In base 9, what is -5 - 20566? -20572 In base 16, what is 1 - 1519? -1518 In base 11, what is -1a898 - -3? -1a895 In base 14, what is -310 + 21? -2cd In base 4, what is 1013 - -100012? 101031 In base 16, what is 34e6 + 9? 34ef In base 13, what is 3a905 - 2? 3a903 In base 8, what is 540312 - 0? 540312 In base 14, what is -10d9 + 7? -10d2 In base 12, what is -1b246 - -3? -1b243 In base 11, what is 2730 - -288? 2a08 In base 3, what is 1010212 - -22222? 1110211 In base 5, what is 32 + -2012411? -2012324 In base 5, what is -3 - 1300421? -1300424 In base 14, what is 12474 - 5? 1246d In base 5, what is -33 + 1402344? 1402311 In base 16, what is 2cf78 + -2? 2cf76 In base 6, what is -112114 - 0? -112114 In base 3, what is 22 - 2022012? -2021220 In base 14, what is -2aca + -4? -2ad0 In base 4, what is -300313321 + 2? -300313313 In base 11, what is 117 + 606? 722
{ "pile_set_name": "DM Mathematics" }
c What is the second smallest value in -0.1, -8, 2? -0.1 What is the third smallest value in -7/4, -2/9, -1/8? -1/8 What is the smallest value in 0.4, -1, 7/2? -1 What is the fourth smallest value in -1, -0.4, -5075, 5/2? 5/2 What is the biggest value in 0.4, -1/3, 2/11, -0.3? 0.4 What is the second smallest value in -1, -0.367, 2/13? -0.367 Which is the third biggest value? (a) 0.1 (b) 6.08 (c) -0.4 (d) -2/9 d Which is the smallest value? (a) 0.1 (b) 0.48 (c) -0.3 c Which is the second smallest value? (a) -0.25 (b) -12 (c) -1/2 c What is the second smallest value in 0.2, 41.9, 2/11? 0.2 Which is the fifth biggest value? (a) -0.5 (b) -6 (c) 10 (d) 0.4 (e) 3 b What is the fifth smallest value in -1, 1, -5/7, -1/2, 4? 4 Which is the smallest value? (a) 4 (b) -8 (c) -1/6 (d) 1/5 b What is the second biggest value in 5, 10, 0.3, -0.05, -1/5? 5 Which is the fourth biggest value? (a) 246/11 (b) -2 (c) 0.5 (d) -1/5 (e) -3 b Which is the third smallest value? (a) -17 (b) 15 (c) -3/4 b What is the third smallest value in 2.7, -5, -3? 2.7 What is the third biggest value in -1/2, 0.04, -7/6, -2, 0? -1/2 Which is the smallest value? (a) -2 (b) -0.1 (c) -20/337 a What is the fourth smallest value in 3, -6, -1, -4, 4? 3 What is the second biggest value in -39, 1, 1/4? 1/4 Which is the biggest value? (a) -0.4 (b) 2/47 (c) -1 b Which is the third smallest value? (a) -0.3 (b) 0.004 (c) 0.2 c Which is the third biggest value? (a) -1 (b) -8 (c) 3 (d) 1/4 a Which is the second biggest value? (a) 5 (b) -0.2 (c) -103 b Which is the second biggest value? (a) 1/11 (b) -2/7 (c) -499 b Which is the third smallest value? (a) 0.3 (b) 8 (c) 0.11 b Which is the fourth biggest value? (a) -2 (b) 0.6 (c) 13 (d) 7/5 a Which is the third biggest value? (a) 0 (b) 0.12 (c) 4/5 a Which is the third smallest value? (a) 24 (b) -1/17 (c) 0.23 a Which is the second biggest value? (a) -4 (b) -30 (c) 8/3 a What is the third smallest value in 0.5, 0.86, -0.07? 0.86 Which is the third biggest value? (a) -2 (b) 4 (c) -5 (d) -0.8 a Which is the third biggest value? (a) -0.2 (b) -0.038 (c) 152 a Which is the second smallest value? (a) 2 (b) -48 (c) 3 (d) -2/17 d Which is the third biggest value? (a) -0.12 (b) 3 (c) -1/4 (d) -3/8 c Which is the biggest value? (a) -1/3 (b) -2 (c) 0.2 (d) 17 d What is the third smallest value in 2/7, 3, -43? 3 Which is the second smallest value? (a) -15 (b) 14 (c) -16 a What is the third smallest value in 2, -4, 3, 1/10, 0? 1/10 Which is the third biggest value? (a) -196 (b) -0.1 (c) 3/2 a What is the biggest value in -2, -4/9, -0.5, 1/5? 1/5 Which is the third biggest value? (a) 4/5 (b) 0.7 (c) -7/3 (d) -0.5 d What is the third biggest value in 1, 0, -341? -341 What is the second biggest value in 10/37, -2, 3? 10/37 Which is the fourth biggest value? (a) -2/7 (b) -0.1 (c) 155 (d) -2/3 d What is the second smallest value in 0.96, 2, 0.2? 0.96 Which is the biggest value? (a) -1/5 (b) -0.15 (c) 0 (d) 4/3 d What is the fifth biggest value in 5, 168, -5, -3, -2? -5 What is the third biggest value in -2, 1/4, -0.5? -2 What is the biggest value in -9, 1, 0.4, 0? 1 What is the second biggest value in 2/1733, -5, 2? 2/1733 Which is the second biggest value? (a) 1 (b) -2 (c) -5 (d) -107 b What is the third smallest value in -0.017, -0.5, 2/13, -2? -0.017 Which is the biggest value? (a) 0.4 (b) -1/2 (c) -40 a What is the second smallest value in 0, -1/4, 1/6? 0 What is the second biggest value in -1, -3, 9, -1/2? -1/2 Which is the fifth biggest value? (a) 0.04 (b) 0.1 (c) -0.2 (d) -7 (e) -2/11 d Which is the second biggest value? (a) 5/3 (b) -0.5 (c) -2 (d) 0.5 (e) 2/29 d What is the third smallest value in -2/9, -1/9, 2/7, -2? -1/9 Which is the biggest value? (a) -2/7 (b) -1/14 (c) 1 (d) 4 (e) -6 d What is the fourth smallest value in -2/5, -0.22, -2/9, 37/4? 37/4 Which is the third biggest value? (a) -0.07 (b) -15 (c) 3 b Which is the fifth smallest value? (a) -0.8 (b) 4 (c) 0.1 (d) 1/5 (e) -1/9 b Which is the fourth smallest value? (a) -8 (b) -5/3 (c) 0.1 (d) 2/5 d Which is the biggest value? (a) 13 (b) -2/9 (c) -4/3 (d) 0.55 (e) 3/7 a Which is the third smallest value? (a) 9/5 (b) -1/5 (c) -4 (d) 0 d Which is the second smallest value? (a) -1/71 (b) -1 (c) 0 (d) -2/15 d What is the smallest value in 3, 4180, -3/7? -3/7 What is the fourth biggest value in 78, 0.03, 0.5, 5? 0.03 What is the fourth smallest value in 4/11, 0.4, 5, -0.5? 5 Which is the biggest value? (a) 0.09 (b) 5/2 (c) 5 c Which is the third smallest value? (a) 15 (b) 0 (c) 0.5 a Which is the fourth smallest value? (a) 0 (b) 2/11 (c) -1 (d) 1 (e) -0.4 b What is the biggest value in -4, 0.3, 0.043, 1/7? 0.3 What is the second smallest value in -1/6, -4, 4/7, 0.03? -1/6 What is the third smallest value in 17/5, 4/7, 1/8? 17/5 What is the third biggest value in -2/3, -1, -0.6, -1/4? -2/3 Which is the third biggest value? (a) -1/4 (b) -3 (c) -0.05 (d) 0.02 a What is the second biggest value in 0, 1/3, 378? 1/3 Which is the biggest value? (a) -0.2 (b) -0.1 (c) 3 (d) -3 c Which is the fifth biggest value? (a) -11/5 (b) -7 (c) 0.04 (d) 2 (e) -2 b Which is the third biggest value? (a) 3 (b) 0.5 (c) 4 (d) 0 b What is the third smallest value in -0.6, -5, 3, -0.04? -0.04 Which is the third smallest value? (a) 0.3 (b) -0.1 (c) 1 (d) 2 c What is the second smallest value in 2/5, -5, -0.06, -27, -1? -5 Which is the biggest value? (a) 7 (b) -3 (c) 0.07 (d) -2/15 a Which is the fifth biggest value? (a) -1/5 (b) 0.5 (c) -0.1 (d) 19/30 (e) -4 e What is the second smallest value in -0.09, -4, -1/10? -1/10 What is the biggest value in 60, -3, 1/2? 60 Which is the fourth biggest value? (a) 0 (b) -20 (c) -5 (d) -4/7 (e) 5/3 c What is the biggest value in 2/5839, -1, 3, -1/2? 3 What is the smallest value in 0.07, -13, -4? -13 What is the smallest value in 2, -10, -0.01, 0.5, -0.4? -10 Which is the third smallest value? (a) 4 (b) 9 (c) -0.7 (d) -5 a What is the third biggest value in -135, -2/3, -2/7? -135 What is the smallest value in 1, -0.8, -2? -2 Which is the biggest value? (a) 131 (b) -2/3 (c) 2 a Which is the second biggest value? (a) -3 (b) 0.04 (c) -2/7 (d) 1.27 b What is the third biggest value in -9, 5, 0, 4? 0 Which is the second biggest value? (a) 0.42 (b) -1 (c) -4 (d) 0.2 d What is the third smallest value in -1/6, -58, -0.4? -1/6 What is the second biggest value in 1, -5, 5/4, -1, -33? 1 What is the smallest value in 5, 6/7, 0.1, 11? 0.1 Which is the third biggest value? (a) -0.5 (b) -2/163 (c) -2/7 (d) 1/7 c What is the fourth biggest value in 113, 0.4, -4, 4? -4 Which is the second biggest value? (a) 1/7 (b) -13 (c) 2/13 a What is the second biggest value in 4, 2, 0.1, 17? 4 What is the second biggest value in 0.2, 42, 5? 5 What is the second smallest value in -1/6, -8, -2/5, -2/73? -2/5 Which is the second smallest value? (a) -3 (b) -1 (c) 9 b What is the second smallest value in -4, -1, 0.5, 50? -1 Which is the second biggest value? (a) 3/7 (b) 1 (c) 0.01 (d) 0 a What is the fourth smallest value in -0.4, 5, -2, 14? 14 Which is the third smallest value? (a) -111 (b) -5 (c) 2/11 (d) 0.4 c Which is the smallest value? (a) 0.33 (b) 300 (c) 3/7 a Which is the third smallest value? (a) -0.4 (b) -4/7 (c) 2/9 (d) -2 a Which is the third biggest value? (a) 4 (b) 10 (c) -4 (d) -9 (e) -2/7 e Which is the third biggest value? (a) 0.1 (b) 5 (c) 3.7 a Which is the smallest value? (a) 2 (b) -2/17 (c) 29 b Which is the fourth biggest value? (a) 3.1 (b) -2/7 (c) 0.1 (d) -3/2 d What is the second smallest value in -2/3, 1/115, 0.5, -2/17? -2/17 Which is the biggest value? (a) -0.07 (b) 0.1 (c) -0.2 (d) 10.1 d Which is the second biggest value? (a) -5.131 (b) 0.5 (c) -0.3 c What is the smallest value in -33, -0.6, 2/5? -33 Which is the third smallest value? (a) -2/369 (b) -4/7 (c) -2/19 a What is the second biggest value in 1/6, -3, -3/5, 17? 1/6 Which is the fourth smallest value? (a) 0.5 (b) -0.2 (c) 0 (d) -2/43 (e) 5/2 a Which is the smallest value? (a) 64
{ "pile_set_name": "DM Mathematics" }
imes 1 -0.04 -0.1 * 32 -3.2 Product of -0.3 and 136. -40.8 Calculate -195*12. -2340 1.9*-2 -3.8 1*21 21 Multiply -0.058 and -25. 1.45 Multiply 3 and 41. 123 What is the product of 132 and 25? 3300 Calculate 0.016*-5. -0.08 Multiply 4 and 131. 524 Multiply 46 and 7. 322 Multiply -2 and -4.2. 8.4 Work out -0.3 * 0.5. -0.15 -14 times 7 -98 667 * 0.1 66.7 Multiply -7.5 and -0.1. 0.75 Work out -18755 * -1. 18755 Work out -5 * -65. 325 -2*-584 1168 What is the product of 1244.5 and -2? -2489 What is the product of 234 and 1? 234 Product of 59 and -0.3. -17.7 -3 * 0.05871 -0.17613 -120*-0.2 24 Product of 0.3 and 74. 22.2 What is -7 times 0.085? -0.595 What is the product of 0.4 and 0.2657? 0.10628 Multiply 0.5 and 71.1. 35.55 -0.06*-2.7 0.162 Product of 0.083 and 0.5. 0.0415 Product of -12 and 1.2. -14.4 Calculate -0.9*2. -1.8 Multiply 10 and -0.072. -0.72 Work out -122 * 0.8. -97.6 Multiply 0 and 1306. 0 0.02*-0.6 -0.012 What is the product of 0.18 and 0.3? 0.054 What is -8479 times -0.4? 3391.6 What is the product of -0.1 and -7? 0.7 What is the product of 0.4 and -16? -6.4 Work out 0.06 * 0.58. 0.0348 Multiply -0.042 and 0.1. -0.0042 0.4*5 2 Work out 0.3 * 45. 13.5 1.2 times 0.18 0.216 Multiply 5 and 575. 2875 Work out -3 * -0.493. 1.479 -0.3 times -84 25.2 -0.02 times -1 0.02 What is the product of -0.0869 and -0.1? 0.00869 89 * -8.2 -729.8 17.8 times 0.06 1.068 -3 times -0.1249 0.3747 207 * 0.6 124.2 Product of -1 and -4.8. 4.8 Multiply 0.05 and -12. -0.6 -2048 times 0.07 -143.36 What is the product of -11 and 61? -671 -0.04*-15 0.6 -3.949 times 0.4 -1.5796 What is the product of 1 and -10? -10 What is the product of -76.69 and -0.4? 30.676 -1.1 * -5.68 6.248 Work out -0.4 * -902. 360.8 -5*-30.2 151 526 * 2 1052 What is the product of 0 and -211? 0 Calculate -772*-0.05. 38.6 What is the product of -0.3 and 0.028? -0.0084 0.5*-3093 -1546.5 What is the product of -4.112 and -0.5? 2.056 Multiply 2 and 197. 394 Work out 3 * 1105. 3315 -5*6.4 -32 Calculate 1253*-8. -10024 0.3 times 0.26 0.078 Multiply -2 and -342. 684 What is 1 times -0.4783? -0.4783 2881 times 0.5 1440.5 Work out -2.761 * -0.5. 1.3805 Multiply 411 and -0.053. -21.783 -21.4 * -0.03 0.642 Calculate 5*0.003. 0.015 -13*-0.41 5.33 Product of -2 and -4.54. 9.08 Product of -91 and 0.1. -9.1 What is the product of -0.06 and 56? -3.36 2 times 579 1158 Product of -98 and -0.4. 39.2 732 * 2 1464 What is 0.03 times -18? -0.54 -0.07 * 2.35 -0.1645 205*0.3 61.5 Work out -5 * -3. 15 What is the product of -0.03 and 32? -0.96 What is the product of 7 and 42? 294 Product of 1.8 and -2. -3.6 245*-0.5 -122.5 Product of 6 and -1126. -6756 Work out 5269 * -3. -15807 Multiply 65 and -0.1. -6.5 11.7 * 0 0 -0.1*0.06 -0.006 What is the product of -6 and 2.23? -13.38 3 * 0.293 0.879 8.1*-0.5 -4.05 Work out -0.4 * -109. 43.6 Work out 0.43 * 7. 3.01 Work out -15 * -46. 690 Multiply -3 and 36.1. -108.3 Product of 14 and -0.06. -0.84 -387*13 -5031 What is 5 times -4833? -24165 What is -2 times 2.7? -5.4 Calculate 10*62.4. 624 0.754 * -0.34 -0.25636 Work out -3.2 * -0.059. 0.1888 1.9 * -4 -7.6 -0.4 times 5291 -2116.4 Product of 14 and 0. 0 -2 * 445 -890 Calculate 243.6*-0.1. -24.36 Multiply 0.4 and -57. -22.8 -5*3.2 -16 What is -1 times 3.8? -3.8 Multiply 0.03 and -0.5911. -0.017733 Work out 69 * -1. -69 What is the product of -0.11 and 0.48? -0.0528 3 * 851 2553 -1*37 -37 Work out 523 * -18. -9414 Product of -2.5 and 0.13. -0.325 Product of -0.01 and 76. -0.76 Calculate -0.037*0. 0 Work out -7.7 * -0.055. 0.4235 Multiply -0.3 and -1374. 412.2 What is -16 times 0.095? -1.52 Work out -0.23 * 0.2. -0.046 Calculate -0.011*-0.06. 0.00066 5 * -201 -1005 Product of 0.7 and -408. -285.6 -0.4 * 320 -128 47 times 4 188 -0.2 times -12.6 2.52 Multiply -91 and -5. 455 What is -56 times 3.4? -190.4 What is the product of 5 and 4? 20 7.8 * 0.02 0.156 What is the product of -14.3 and -19? 271.7 What is -2 times 0.353? -0.706 What is -5 times -17? 85 Calculate -0.1*31. -3.1 Multiply 0.29 and 23. 6.67 What is 0.39 times 4? 1.56 Multiply -326 and 5. -1630 Multiply 3 and -0.065. -0.195 Multiply -0.61 and 2.1. -1.281 Calculate 2008*-0.1. -200.8 Work out -2.873 * 0.7. -2.0111 What is 0.1 times 2.676? 0.2676 23 times -3.86 -88.78 Multiply -0.4 and 602. -240.8 -0.8 * 816 -652.8 What is the product of 27.03 and 5? 135.15 What is the product of -106 and -0.02? 2.12 Work out 45 * -0.01. -0.45 Calculate 760*-1. -760 Calculate -1668*0.3. -500.4 What is -0.2 times 3.22? -0.644 Multiply 2 and -0.0969. -0.1938 -836 times -0.28 234.08 5*149 745 Product of 10 and 4. 40 -1.391*-4 5.564 Calculate 28*-0.01. -0.28 -291.8*-0.5 145.9 Calculate -197*-2. 394 What is the product of -0.7 and -467? 326.9 Calculate 2*-18.1. -36.2 What is 7 times -173? -1211 2.55*-16 -40.8 0.3*-61 -18.3 Product of 2 and 0.2051. 0.4102 6.5 times 4 26 What is the product of 1 and 43? 43 Product of -25 and 4. -100 Product of 175 and 4. 700 0.2 * -0.767 -0.1534 Multiply 0.17 and 0.08. 0.0136 What is -54.1 times 0.5? -27.05 What is the product of -0.106 and -0.6? 0.0636 Multiply -1379 and -1. 1379 0.1*-6 -0.6 Work out 0.0239 * 0.3. 0.00717 What is -1.73 times -5? 8.65 What is 0.14 times -226? -31.64 -0.02*-0.5 0.01 -57 * -5 285 Product of 0.04 and 31. 1.24 Product of 0.6 and -1.8. -1.08 Calculate 3.687*-4. -14.748 Product of 0.1735 and 0.5. 0.08675 Product of -0.19 and 7.3. -1.387 Multiply 2 and -559. -1118 Multiply 1.5 and 84. 126 Product of 1 and 13.55. 13.55 2.3*22 50.6 Multiply 1 and -0.03. -0.03 Calculate 3*7.2. 21.6 -0.5 * 71.3 -35.65 Product of 10 and 320. 3200 3730*0.3 1119 -0.01 * 7.4 -0.074 0.3 * 32.1 9.63 What is the product of 226.9 and -0.2? -45.38 What is 1.31 times 0.5? 0.655 -3 * 0.0849 -0.2547 131 times -0.08 -10.48 What is the product of 744 and 0.2? 148.8 Work out -0.6 * -118. 70.8 What is 326 times 0.5? 163 Calculate -0.052*-0.42. 0.02184 What is the product of 139.6 and -3? -418.8 -2738 times -4 10952 Work out -11983 * 0.4. -4793.2 What is the product of -44173 and 0.1? -4417.3 Multiply 15 and -21. -315 Work out -591 * 0.02. -11.82 -6 * 0.05 -0.3 -6 * 15 -90 Product of -3 and -110. 330 What is -0.56 times 1.5? -0.84 Product of -52.3 and -1. 52.3 -33.8*12 -405.6 Calculate -5.9*103. -607.7 Product of 0.5 and 193. 96.5 -153*-4 612 0.25 * 165 41.25 Multiply -1.207 and -0.4. 0.4828 Product of 0.38 and -0.2. -0.076 -0.3 * 0.16 -0.048 What is -0.4 times -4049? 1619.6 0.1 times -8 -0.8 Calculate -0.044*3. -0.132 -14*-1003 14042 Calculate -0.0546*0.4. -0.02184 Multiply 112 and 1. 112 -0.203 times 61 -12.383 Multiply 0.4 and 2.9. 1.16 -5*-4725 23625 What is the product of 0.2 and 67.4? 13.48 -5*-1.51 7.55 What is the product of -0.5 and 0.41? -0.205 Multiply -2 and 1.01. -2.02 Product of 7 and 306. 2142 Calculate -238*4.1. -975.8 What is 0.7 times -263.4? -184.38 Work out 3 * -6.4. -19.2 What is the product of -0.1 and -190? 19 What is the product of 0.01 and 0.2? 0.002 -5519*-1 5519 -0.13*12.5 -1.625 Multiply -0.07 and -5. 0.35 4 * -9 -36 3 times -4752 -14256 4*32 128 What is the product of -0.3 and 60? -18 Calculate -2*-103. 206 5.9 * 0.04 0.236 What is -114 times 5? -570 Product of -0.1 and 5. -0.5 Multiply -7 and -2. 14 What is the product of 1 and 0.06? 0.06 -571*-3 1713 What is the product of 0.65 and -4? -2.6 Calculate 2*-1611. -3222 Multiply -1.29 and 4. -5.16 Calculate 4*332. 1328 Work out 37 * -0.02. -0.74 What is the product of 1.8467 and 0.1? 0.18467 What is the product of -5 and -103? 515 Work out 4 * 0.2. 0.8 -6*1087 -6522 -127*0.4 -50.8 Calculate 0*0.088. 0 -33 * 0.1 -3.3 -0.43 times -0.33 0.1419 What is 0.7 times 19? 13.3 What is the product of -3 and 14? -42 Multiply -201.5 and -2. 403 Multiply -1.14 and -1. 1.14 What is the product of 15.8 and -0.09? -1.422 Product of -0.08579 and 0.3. -0.025737 What is -2.48 times -10? 24.8 0.019 times -27 -0.513 Product of -45 and -254. 11430 Calculate -1.951*-0.4. 0.7804 What is -201.2 times -0.2? 40.24 Product of 22 and -53. -1166 -5*-0.049 0.245 0.1338 * 0.4 0.05352 What is 4 times -0.3? -1.2 Multiply 0.143 and 72. 10.296 Work out -0.7 * -0.209. 0.1463 0.1*-41 -4.1 -0.31*-1.16 0.3596 Work out 5 * 17.3. 86.5 Work out 1.1 * 65. 71.5 What is the product of -30 and 70? -2100 -4.64*0.2 -0.928 Work out 20366 * 3.
{ "pile_set_name": "DM Mathematics" }
. 2, 13, 839, 243479 What are the prime factors of 829788281? 7, 29, 4087627 What are the prime factors of 138528737? 29, 4776853 What are the prime factors of 213071151? 3, 71023717 List the prime factors of 7256242. 2, 7, 419, 1237 What are the prime factors of 206144218? 2, 7, 14724587 What are the prime factors of 300711790? 2, 5, 59, 509681 List the prime factors of 29916140. 2, 5, 109, 13723 What are the prime factors of 273379816? 2, 79, 307, 1409 List the prime factors of 58380154. 2, 7, 37, 43, 2621 List the prime factors of 9337226467. 1069, 8734543 What are the prime factors of 3526606320? 2, 3, 5, 14694193 List the prime factors of 53815143. 3, 17938381 What are the prime factors of 427149491? 23, 97, 191461 What are the prime factors of 48270506? 2, 509, 47417 What are the prime factors of 283296121? 16487, 17183 What are the prime factors of 5781183194? 2, 139, 20795623 List the prime factors of 4127011325. 5, 23, 7177411 What are the prime factors of 3555033770? 2, 5, 151, 461, 5107 List the prime factors of 987399577. 5897, 167441 What are the prime factors of 149448349? 43, 3475543 List the prime factors of 300897454. 2, 11, 13, 23, 149, 307 List the prime factors of 1970627975. 5, 78825119 List the prime factors of 281771008. 2, 275167 List the prime factors of 3508644463. 113, 457, 67943 What are the prime factors of 226252223? 1747, 129509 What are the prime factors of 54479913? 3, 149, 307, 397 What are the prime factors of 629093062? 2, 13, 24195887 What are the prime factors of 491472446? 2, 245736223 List the prime factors of 31549296. 2, 3, 83, 7919 List the prime factors of 1238348794. 2, 4591, 134867 List the prime factors of 97252538. 2, 673, 72253 List the prime factors of 3689824268. 2, 13, 67, 1059077 What are the prime factors of 13892379? 3, 659, 7027 List the prime factors of 28601011. 2801, 10211 What are the prime factors of 1788319577? 11, 19, 83, 103091 List the prime factors of 84291115. 5, 1481, 11383 What are the prime factors of 66035746? 2, 7, 4716839 What are the prime factors of 350885390? 2, 5, 59, 594721 What are the prime factors of 190156104? 2, 3, 19, 229, 607 List the prime factors of 1838427079. 59, 439, 70979 What are the prime factors of 309975581? 1571, 197311 List the prime factors of 216748248. 2, 3, 137, 65921 List the prime factors of 42689547. 3, 4743283 What are the prime factors of 266674078? 2, 11, 1101959 List the prime factors of 21584464. 2, 11, 11149 What are the prime factors of 27839737? 4721, 5897 List the prime factors of 82958501. 131, 633271 List the prime factors of 127870462. 2, 227, 281653 List the prime factors of 1672708527. 3, 7, 571, 46499 List the prime factors of 9261834. 2, 3, 1543639 What are the prime factors of 1560978086? 2, 780489043 List the prime factors of 765281236. 2, 41, 67, 257, 271 List the prime factors of 184589914. 2, 383, 397, 607 List the prime factors of 4321121098. 2, 7, 17, 2357, 7703 What are the prime factors of 269356556? 2, 7, 9619877 List the prime factors of 24919486. 2, 12459743 What are the prime factors of 290989304? 2, 36373663 What are the prime factors of 73155676? 2, 11, 1662629 What are the prime factors of 615273373? 11, 13, 659, 6529 What are the prime factors of 5506646491? 41, 149, 901399 List the prime factors of 342612333. 3, 7, 1289, 4219 List the prime factors of 77438745. 3, 5, 673, 2557 What are the prime factors of 183805496? 2, 7, 17, 193073 List the prime factors of 1884945070. 2, 5, 41, 4597427 What are the prime factors of 3728133939? 3, 1709, 727157 List the prime factors of 68828496. 2, 3, 11, 61, 2137 What are the prime factors of 318521238? 2, 3, 7, 107, 70877 What are the prime factors of 59597660? 2, 5, 1109, 2687 List the prime factors of 2094597291. 3, 59, 661, 17903 List the prime factors of 251122291. 7, 35874613 What are the prime factors of 85444882? 2, 109, 167, 2347 What are the prime factors of 452031310? 2, 5, 45203131 List the prime factors of 28510268. 2, 7127567 What are the prime factors of 125289339? 3, 7, 79, 75521 What are the prime factors of 7201360370? 2, 5, 211, 1129, 3023 List the prime factors of 5140643660. 2, 5, 1657, 155119 What are the prime factors of 730403524? 2, 31, 113, 52127 What are the prime factors of 20394440? 2, 5, 11, 46351 What are the prime factors of 4356711503? 2953, 1475351 What are the prime factors of 6095637576? 2, 3, 7, 1697, 7127 List the prime factors of 39175558. 2, 19587779 What are the prime factors of 12829567? 31, 163, 2539 What are the prime factors of 1643124221? 193, 8513597 List the prime factors of 832677. 3, 17, 29, 563 What are the prime factors of 515863? 167, 3089 List the prime factors of 18033214. 2, 9016607 What are the prime factors of 297689062? 2, 11, 373, 36277 What are the prime factors of 767019684? 2, 3, 63918307 What are the prime factors of 5044732920? 2, 3, 5, 31, 53, 2843 What are the prime factors of 156740591? 7, 22391513 What are the prime factors of 279520527? 3, 11, 13, 59233 List the prime factors of 2408340. 2, 3, 5, 11, 41, 89 List the prime factors of 300732781. 37, 1801, 4513 What are the prime factors of 78868861? 293, 269177 What are the prime factors of 444476818? 2, 41, 5420449 What are the prime factors of 4031996458? 2, 7, 41142821 What are the prime factors of 162725431? 11, 3089, 4789 List the prime factors of 138162863. 23, 79, 76039 List the prime factors of 143875183. 691, 208213 What are the prime factors of 1156442718? 2, 3, 3167, 60859 What are the prime factors of 205572747? 3, 137, 500177 List the prime factors of 218968544. 2, 71, 96377 What are the prime factors of 335055802? 2, 167527901 What are the prime factors of 20276413? 269, 75377 List the prime factors of 463234667. 7, 66176381 List the prime factors of 141479267. 1783, 79349 What are the prime factors of 1784984903? 13, 137306531 List the prime factors of 7012729. 19, 47, 7853 What are the prime factors of 2441936206? 2, 33629, 36307 What are the prime factors of 1261377929? 7, 433, 416159 What are the prime factors of 71385235? 5, 14277047 What are the prime factors of 305753393? 11, 109, 255007 What are the prime factors of 232530843? 3, 103, 752527 What are the prime factors of 32931046? 2, 139, 118457 List the prime factors of 1584116763. 3, 17, 31061113 List the prime factors of 440909550. 2, 3, 5, 107, 9157 List the prime factors of 3260269890. 2, 3, 5, 43, 842447 What are the prime factors of 3916496670? 2, 3, 5, 130549889 List the prime factors of 1663411782. 2, 3, 277235297 What are the prime factors of 1304716562? 2, 367, 1777543 What are the prime factors of 3526187566? 2, 11, 17, 31, 43, 643 List the prime factors of 502618647. 3, 19, 8817871 What are the prime factors of 218749217? 17, 37, 347773 What are the prime factors of 134009852? 2, 379, 88397 What are the prime factors of 516737498? 2, 13249, 19501 List the prime factors of 8927730376. 2, 59, 163, 116041 What are the prime factors of 127621595? 5, 23, 853, 1301 What are the prime factors of 305618776? 2, 53, 503, 1433 What are the prime factors of 1224514129? 97, 12623857 List the prime factors of 978444636. 2, 3, 13, 61, 229, 449 What are the prime factors of 2198811978? 2, 3, 11, 61, 307, 593 What are the prime factors of 1144498617? 3, 139, 914867 What are the prime factors of 97241320? 2, 5, 11, 61, 3623 List the prime factors of 17407350. 2, 3, 5, 101, 383 What are the prime factors of 1047555072? 2, 3, 37889 List the prime factors of 2599903543. 1223, 2125841 List the prime factors of 146548921. 146548921 What are the prime factors of 274480387? 274480387 What are the prime factors of 188375507? 307, 379, 1619 List the prime factors of 457359311. 457359311 What are the prime factors of 21623468? 2, 5405867 List the prime factors of 28377367. 3307, 8581 List the prime factors of 83629828. 2, 20907457 List the prime factors of 132519012. 2, 3, 17, 421, 1543 What are the prime factors of 1555312116? 2, 3, 17, 193, 39503 What are the prime factors of 784138249? 784138249 What are the prime factors of 249479929? 15241, 16369 List the prime factors of 7240904. 2, 11, 107, 769 List the prime factors of 373916025. 3, 5, 7, 199, 1193 What are the prime factors of 236277?
{ "pile_set_name": "DM Mathematics" }
rest integer? 116 What is the square root of 2022969 to the nearest integer? 1422 What is 296509 to the power of 1/2, to the nearest integer? 545 What is 1125722 to the power of 1/3, to the nearest integer? 104 What is the third root of 321340 to the nearest integer? 68 What is the square root of 553000 to the nearest integer? 744 What is the third root of 3166109 to the nearest integer? 147 What is the tenth root of 5140294 to the nearest integer? 5 What is 877428 to the power of 1/2, to the nearest integer? 937 What is 1733051 to the power of 1/3, to the nearest integer? 120 What is the third root of 109603 to the nearest integer? 48 What is 431090 to the power of 1/4, to the nearest integer? 26 What is the cube root of 256512 to the nearest integer? 64 What is 795814 to the power of 1/2, to the nearest integer? 892 What is the square root of 692391 to the nearest integer? 832 What is the seventh root of 296879 to the nearest integer? 6 What is the cube root of 32293195 to the nearest integer? 318 What is 3679634 to the power of 1/3, to the nearest integer? 154 What is the third root of 1212761 to the nearest integer? 107 What is the third root of 1086952 to the nearest integer? 103 What is the cube root of 15173252 to the nearest integer? 248 What is 10080419 to the power of 1/2, to the nearest integer? 3175 What is 1862531 to the power of 1/3, to the nearest integer? 123 What is the third root of 10538969 to the nearest integer? 219 What is the cube root of 742225 to the nearest integer? 91 What is 5449620 to the power of 1/8, to the nearest integer? 7 What is 27416290 to the power of 1/10, to the nearest integer? 6 What is the third root of 393022 to the nearest integer? 73 What is the ninth root of 19391778 to the nearest integer? 6 What is the sixth root of 17057615 to the nearest integer? 16 What is 17371238 to the power of 1/2, to the nearest integer? 4168 What is 309015 to the power of 1/3, to the nearest integer? 68 What is 3924728 to the power of 1/7, to the nearest integer? 9 What is the third root of 151033 to the nearest integer? 53 What is 756679 to the power of 1/3, to the nearest integer? 91 What is the square root of 207749 to the nearest integer? 456 What is 21373650 to the power of 1/10, to the nearest integer? 5 What is the square root of 31350445 to the nearest integer? 5599 What is the square root of 1587618 to the nearest integer? 1260 What is the fourth root of 2768202 to the nearest integer? 41 What is the square root of 7010447 to the nearest integer? 2648 What is the seventh root of 143788 to the nearest integer? 5 What is the fourth root of 2624769 to the nearest integer? 40 What is the third root of 650063 to the nearest integer? 87 What is 12234050 to the power of 1/10, to the nearest integer? 5 What is the seventh root of 5916630 to the nearest integer? 9 What is the cube root of 178589 to the nearest integer? 56 What is 620714 to the power of 1/10, to the nearest integer? 4 What is the cube root of 19069854 to the nearest integer? 267 What is 10620448 to the power of 1/7, to the nearest integer? 10 What is the cube root of 937141 to the nearest integer? 98 What is the cube root of 3519682 to the nearest integer? 152 What is the square root of 1075701 to the nearest integer? 1037 What is 22817619 to the power of 1/2, to the nearest integer? 4777 What is 105650 to the power of 1/8, to the nearest integer? 4 What is the third root of 433344 to the nearest integer? 76 What is the square root of 10677458 to the nearest integer? 3268 What is 20327135 to the power of 1/2, to the nearest integer? 4509 What is the square root of 5798699 to the nearest integer? 2408 What is 21023954 to the power of 1/2, to the nearest integer? 4585 What is the fourth root of 16166383 to the nearest integer? 63 What is the cube root of 2597128 to the nearest integer? 137 What is the square root of 2592950 to the nearest integer? 1610 What is the square root of 305319 to the nearest integer? 553 What is the square root of 434222 to the nearest integer? 659 What is 538101 to the power of 1/8, to the nearest integer? 5 What is the square root of 21985364 to the nearest integer? 4689 What is 8624045 to the power of 1/5, to the nearest integer? 24 What is 178125 to the power of 1/10, to the nearest integer? 3 What is 609272 to the power of 1/2, to the nearest integer? 781 What is the square root of 218662 to the nearest integer? 468 What is the eighth root of 3964841 to the nearest integer? 7 What is the cube root of 1296941 to the nearest integer? 109 What is 211312 to the power of 1/5, to the nearest integer? 12 What is 13989663 to the power of 1/4, to the nearest integer? 61 What is the square root of 225517 to the nearest integer? 475 What is 384205 to the power of 1/2, to the nearest integer? 620 What is 432336 to the power of 1/3, to the nearest integer? 76 What is 2221443 to the power of 1/2, to the nearest integer? 1490 What is the cube root of 499171 to the nearest integer? 79 What is the square root of 5596599 to the nearest integer? 2366 What is 4293567 to the power of 1/7, to the nearest integer? 9 What is the square root of 5620099 to the nearest integer? 2371 What is the third root of 10917033 to the nearest integer? 222 What is 34803419 to the power of 1/2, to the nearest integer? 5899 What is 2027832 to the power of 1/6, to the nearest integer? 11 What is the square root of 1193982 to the nearest integer? 1093 What is the square root of 65011 to the nearest integer? 255 What is 686688 to the power of 1/10, to the nearest integer? 4 What is 1756574 to the power of 1/8, to the nearest integer? 6 What is 309221 to the power of 1/6, to the nearest integer? 8 What is 24450808 to the power of 1/7, to the nearest integer? 11 What is the square root of 4291830 to the nearest integer? 2072 What is 23726963 to the power of 1/3, to the nearest integer? 287 What is the square root of 26849183 to the nearest integer? 5182 What is the cube root of 1881436 to the nearest integer? 123 What is 337544 to the power of 1/8, to the nearest integer? 5 What is the square root of 4118577 to the nearest integer? 2029 What is the square root of 2956825 to the nearest integer? 1720 What is 388752 to the power of 1/2, to the nearest integer? 623 What is the cube root of 519367 to the nearest integer? 80 What is the square root of 824727 to the nearest integer? 908 What is 8596010 to the power of 1/2, to the nearest integer? 2932 What is 278077 to the power of 1/2, to the nearest integer? 527 What is the fifth root of 20930 to the nearest integer? 7 What is 509391 to the power of 1/9, to the nearest integer? 4 What is the cube root of 102068 to the nearest integer? 47 What is the ninth root of 4769913 to the nearest integer? 6 What is 10660089 to the power of 1/6, to the nearest integer? 15 What is 3647014 to the power of 1/10, to the nearest integer? 5 What is 22873 to the power of 1/3, to the nearest integer? 28 What is the ninth root of 13343427 to the nearest integer? 6 What is the seventh root of 12388130 to the nearest integer? 10 What is the cube root of 621851 to the nearest integer? 85 What is 2315435 to the power of 1/10, to the nearest integer? 4 What is the fifth root of 28989269 to the nearest integer? 31 What is the square root of 128876 to the nearest integer? 359 What is the cube root of 1068093 to the nearest integer? 102 What is the cube root of 6386981 to the nearest integer? 186 What is the square root of 3528228 to the nearest integer? 1878 What is the cube root of 371054 to the nearest integer? 72 What is the cube root of 2906560 to the nearest integer? 143 What is the seventh root of 1747219 to the nearest integer? 8 What is 1705699 to the power of 1/2, to the nearest integer? 1306 What is the third root of 579885 to the nearest integer? 83 What is the square root of 9748 to the nearest integer? 99 What is 1444734 to the power of 1/3, to the nearest integer? 113 What is 11143773 to the power of 1/5, to the nearest integer? 26 What is the ninth root of 12131236 to the nearest integer? 6 What is the tenth root of 2583675 to the nearest integer? 4 What is 1682921 to the power of 1/2, to the nearest integer? 1297 What is 6601897 to
{ "pile_set_name": "DM Mathematics" }
(t) = z*q(t) + 3*v(t). Determine b(f(d)). 4*d**4 Let o(k) = 3*k**2. Let g(d) = 65*d. Let m(i) = 6*i. Let r(v) = -4*g(v) + 45*m(v). What is r(o(w))? 30*w**2 Let k(n) = -18*n**2 - 5*n. Let x(v) = 303*v**2. Give k(x(f)). -1652562*f**4 - 1515*f**2 Let q(r) = -r**2. Suppose 6 = 2*a + 2. Suppose -a*u - 5*t + 13 - 4 = 0, 2*t = -4*u + 10. Let n(v) = -u*v**2 + 0*v**2 + 3*v**2 - 5*v**2. What is q(n(d))? -16*d**4 Let p(n) = 99333*n. Let w(h) = -11*h**2. Calculate w(p(f)). -108537493779*f**2 Let m(b) = -747*b. Let f(w) = 1375181 - 1375181 + w. What is m(f(o))? -747*o Let j(r) = r - 20. Let a(q) = -2 + q + 3 - 1. What is a(j(m))? m - 20 Let d(o) = -32613*o**2. Let n(a) = 40*a**2. Determine n(d(v)). 42544310760*v**4 Let q(m) = m. Let w(o) be the third derivative of -7*o**6/240 - 29*o**4/24 - 31*o**2. Let g(j) be the second derivative of w(j). Calculate q(g(n)). -21*n Let u(w) be the first derivative of 10 + 0*w + 1/2*w**2. Let h(t) be the second derivative of -t**3/6 - 2*t. Give u(h(r)). -r Let d(k) = 2*k. Let b(o) = -115*o + 38. Give d(b(j)). -230*j + 76 Let s(w) = -w + 40. Let q(v) = -354*v**2. Give q(s(g)). -354*g**2 + 28320*g - 566400 Let z(m) = 110*m**2 + 4*m + 2. Let u(x) = -16*x. Determine u(z(w)). -1760*w**2 - 64*w - 32 Let q(v) = -11*v**2 + 13*v**2 - 13*v**2. Let b = -7 - -9. Let p(s) = -6 - 13 - b*s + 19. What is p(q(c))? 22*c**2 Let a(c) be the first derivative of 3*c**2 - 2. Suppose m = 2*p + 8, 0 = -4*m + p - 6*p - 7. Let v(t) = 6 + m*t - 11 + 5. What is a(v(y))? 12*y Let n(c) be the third derivative of c**4/12 + 4*c**2. Let z(d) = -d**2 + d + 1. Let p(i) = i + 1. Let g(v) = 2*p(v) - 2*z(v). What is g(n(h))? 8*h**2 Let x(n) = 0 + 2 - 2 + 19*n**2. Let k(l) = 3*l + 4*l - 9*l. What is k(x(v))? -38*v**2 Let z(f) be the first derivative of -6 + 0*f**2 + 0*f - 11/3*f**3. Let j(m) = m - 3. Let i(r) = -2*r + 5. Let k(w) = 3*i(w) + 5*j(w). Give z(k(v)). -11*v**2 Let w = 15 + -28. Let t = 13 + w. Let p(z) = -z + 2*z + z + t*z. Let j(n) = 10*n**2. Give p(j(v)). 20*v**2 Let s(o) be the third derivative of -o**7/2520 - 23*o**5/60 - 38*o**2. Let a(p) be the third derivative of s(p). Let u(n) = -21*n**2. Determine a(u(y)). 42*y**2 Suppose 0 = -3*w + 2*g - 3*g - 38, 0 = -3*g - 15. Let p = -11 - w. Let b(n) = 0 + 2*n + p. Let t(j) = 5*j. Determine t(b(l)). 10*l Let k(a) be the third derivative of a**5/20 - 17*a**2. Let s(j) = -j**2 + 5. Let r(c) = c**2 - 1. Let m(l) = -5*r(l) - s(l). What is m(k(y))? -36*y**4 Suppose -4*v = -a - 20, 4*a - 20 = -0*a - 4*v. Let n(o) = -o + 2*o + a*o + o. Let t(p) = -3*p**2 - 7*p**2 + 3*p**2 + 0*p**2. Determine t(n(r)). -28*r**2 Let m(y) = -y. Let o(n) = -12115*n**2 - n. Calculate o(m(p)). -12115*p**2 + p Let g(i) = 13*i**2. Let c(k) = 3*k - 37. Let t be c(13). Let s(p) = 7*p**2 + 3*p**2 - 25*p**2 + 13*p**t. Calculate s(g(m)). -338*m**4 Let h(m) = -7*m - 2. Let d(v) = -2*v**2 + 22*v - 11. Let t(n) = n**2 - 12*n + 6. Let r(o) = 6*d(o) + 11*t(o). Give h(r(j)). 7*j**2 - 2 Let m(y) = -178*y. Let x(f) be the first derivative of 2*f**3/3 + 11. Calculate m(x(c)). -356*c**2 Let x(j) = 7*j + 5. Let o(l) = -11*l - 9. Let b(u) = -12*u - 10. Let g(z) = 5*b(z) - 6*o(z). Let q(r) = -5*g(r) + 4*x(r). Let m(w) = 14*w. What is q(m(k))? -28*k Let r(a) = -372*a. Let h(l) = 26*l. Let o(c) = 20*c. Let k(f) = 3*h(f) - 4*o(f). Determine k(r(i)). 744*i Let h(y) = 14*y. Let w = -2902 + 4091. Let c(r) = -r - 1189 + w. Determine h(c(s)). -14*s Let x(c) = -c**2. Let s be (-3)/9 - 12/(-9). Let h be (516/4 + -2)*s. Let u(t) = h*t - 127*t - t**2. What is u(x(m))? -m**4 Let x(l) = -3*l + 6. Let i(z) = 5*z + z + 3*z + 2*z - 10*z. Determine i(x(a)). -3*a + 6 Let l(q) = -9333*q. Let f(r) = 315*r**2. Give f(l(n)). 27438040035*n**2 Let x(c) = 206*c**2. Let o(g) = -1159*g - 5. Give o(x(p)). -238754*p**2 - 5 Let b(y) = -66*y**2. Let k(i) = -20*i - 1. Determine b(k(l)). -26400*l**2 - 2640*l - 66 Let h(r) = r**2. Let b(g) = 1 - 16*g + g**2 + 7*g + 10*g. Let n(i) = -12*i**2 - 10*i - 10. Let y(a) = 20*b(a) + 2*n(a). Calculate h(y(x)). 16*x**4 Let t(k) = 3*k**2. Suppose 2*s = 5*f + 7, 1 - 11 = -s - 4*f. Let g(p) = -p - s*p - 5*p + 6*p. Calculate g(t(i)). -18*i**2 Let k(q) = 2901648*q**2 + 2. Let m(a) = 2*a. Determine m(k(u)). 5803296*u**2 + 4 Let n(d) be the second derivative of -223*d**3/6 - 173*d - 1. Let m(h) = -h. Calculate n(m(r)). 223*r Let f(s) = -s. Let q(b) = 1070*b - 2155*b + 1064*b + 4. Give f(q(a)). 21*a - 4 Suppose -10 = -2*u - 3*u. Let l(p) = 46*p + u*p**2 - 46*p. Let w(i) = 3*i. Determine w(l(v)). 6*v**2 Let q(r) = 18024*r**2. Let o(g) = -2*g. What is q(o(m))? 72096*m**2 Let o(p) be the second derivative of 1/3*p**3 + 0*p**2 + 0 - 9*p. Let j(y) = 13*y - 5. Let k(r) = -7*r + 3. Let l(t) = -3*j(t) - 5*k(t). Give l(o(w)). -8*w Let u(o) = 14*o**2 - 4. Let l(k) = 224*k**2 + 0 - 223*k**2 - 3 + 3. Give u(l(v)). 14*v**4 - 4 Let g(c) = c**2. Let s(r) be the third derivative of r**4/24 + 5*r**2 - 2. What is g(s(x))? x**2 Let d(h) = 302*h**2 - h. Let m(c) = 8582*c. What is m(d(w))? 2591764*w**2 - 8582*w Let t(l) = -81*l + 39*l - 29 + 44*l + 29. Let q(w) = 433*w. Calculate t(q(c)). 866*c Let w(y) = -y + 1. Let t(a) be the third derivative of 1/30*a**5 + 0*a - 37*a**2 + 0*a**3 + 0 + 0*a**4. Determine t(w(o)). 2*o**2 - 4*o + 2 Let w(r) = -5*r**2 + 3. Let z(j) be the first derivative of -j**2/2 + 94. Determine z(w(i)). 5*i**2 - 3 Let a = -6 + 8. Let k(w) = 3*w**a - 2*w**2 - 2*w**2. Let s(r) = -62*r - 3. Let j(o) = 105*o + 5. Let g(v) = -3*j(v) - 5*s(v). Give g(k(f)). 5*f**2 Let m(f) be the second derivative of f**3 - f - 2*f - f**3 - f**3. Let y(x) = x + 1. Let q(l) = 2*l + 3. Let r(n) = q(n) - 3*y(n). Give r(m(o)). 6*o Let k(o) = 9*o. Let c(p) = -16*p + 29*p - 10*p. Let g(h) = -7*c(h) + 2*k(h). Let l(j) = -2*j**2. Calculate g(l(a)). 6*a**2 Let q(z) = -z**2 + 3*z + 9. Let o be q(4). Let g(x) = -4*x + 3*x - o*x + 10*x. Let k(i) = 9*i. Calculate k(g(d)). 36*d Let k(b) = 134*b + 134*b + 151*b. Let z(d) = -d**2. Give z(k(x)). -175561*x**2 Suppose 2*t - 7 = 11. Let l = 11 - t. Let z(v) = -5*v + 4*v + v - l*v**2. Let g(m) = -2*m**2. Give g(z(s)). -8*s**4 Let z(k) = 5308881*k. Let g(b) = -2*b**2. Give g(z(m)). -56368434944322*m**2 Let m(l) = -13*l - 1. Let a(x) = 3*x**2 + 7*x. Let c be 9 + (12/9)/(6/(-9)). Let n(y) = -2*y**2 - 5*y. Let s(b) = c*n(b) + 5*a(b). What is s(m(p))? 169*p**2 + 26*p + 1 Let o(d) = d + 117. Let x(m) = -1 + 3*m - 2 + 0 + 3. What is x(o(v))? 3*v + 351 Let r(m) = -249*m**2. Let x(a) = 4*a + 141. Calculate x(r(f)). -996*f**2 + 141 Let w(p) = 3*p**2 - 5987*p + 1. Let h(f) = 4*f**2. Determine w(h(i)). 48*i**4 - 23948*i**2 + 1 Let s(m) be the first derivative of -3*m**3 + 3. Let i(u) = -2*u**2. Calculate s(i(d)). -36*d**4 Let l(r) = r**2 + 2*r - 1. Let h be l(1). Let w(c) = -6*c**2 + 2*c**2 - 13*c**h. Let a(k) = -280*k - 2*k**2 + 280*k. What is a(w(s))? -578*s**4 Let t(s) be the third derivative of -13*s**7/5040 - s**5/10 - 19*s**2. Let p(x) be the third derivative of t(x). Let i(z) = -2*z. Calculate p(i(k)). 26*k Suppose 0*j = -3*f + 3*j + 21, -f + 4 = 2*j. Let k(m) = -f*m + 9 - m - 9. Let u(a) be the first derivative of -a**3/3 - 1. Determine u(k(i)). -49*i**2 Let p(a) = -a**2. Let j(y) = -1184346*y. Give p(j(n)). -1402675447716*n**2 Let s(p) = -28*p**2 - 25*p**2 + 65*p**2 - 26*p**2. Let f(y) = -11*y**2. Give f(s(k)). -2156*k**4 Let m(p) = 65866*p. Let r(u) = -10*u. Determine m(r(n)). -658660*n Let h(r) = 3*r**2. Let z = -1/4 + 11/12. Let q(i) be the first derivative of -1 + 0*i + 0*i**2 - z*i**3. Calculate h(q(f)). 12*f**4 Let n(w) = 68175 - 68175 - 3*w**2. Let c(x) = -2*x - 2. Calculate n(c(f)). -12*f**2 - 24*f - 12 Let b(n) = 3*n**2. Let c(g) be the second derivative of 11*g**3/2 - g**2/2 - 3*g + 4. Calculate c(b(t)). 99*t**2 - 1 Let h(o) = o - 2. Let f(q) = -q**2 - 11*q + 22. Let l(j) = 2*f(j) + 22*h(j). Let v(z) = 2*z**2 + 50*z. Give v(l(s)). 8*s**4 - 100*s**2 Let u(m) = -113*m + 152. Let d(f) = -5*f. Give d(u(h)). 565*h - 760 Let s(v) = v. Let j(o) = -60*o - 29*o + 190*o - 59*o. Determine j(s(f)). 42*f Let s(a) = -10*a**2. Let v(w) = -3*w**2 - 7*w + 7. Let d(o) = -o**2 - 2*o + 2. Let j(m) = -7*d(m) + 2*v(m). Determine j(s(l)). 100*l**4 Let r(t) = -84*t + 4. Let q(v) = 169*v - 9. Let g(i) = 4*q(i) + 9*r(i). Let j(m) = -3*m**2. Give g(j(d)). 240*d**2 L
{ "pile_set_name": "DM Mathematics" }
4*sqrt(5)/11 Simplify ((-3*sqrt(832) + -4)*4)**2 + (sqrt(832) + -1*-1*sqrt(832))**2*1 + -2. 3072*sqrt(13) + 123390 Simplify ((sqrt(1088) + 5 + (-4 + sqrt(1088) - sqrt(1088)))*3)**2 + (sqrt(2448) - (-5 + sqrt(2448)*2)) + -2. 132*sqrt(17) + 9804 Simplify 3 + (-4*(5 + -5*(5*(1 + sqrt(75)) + 5))*6)**2. 6480000*sqrt(3) + 28166403 Simplify (((sqrt(297)*1*4)/(-1*sqrt(22)/sqrt(2)))/((sqrt(81)*2*-6 + sqrt(81))/(sqrt(9)*-1*-1)))**2 + 1. 169/121 Simplify (1 + -3*sqrt(175))**2*6 + -2 + (sqrt(7) - (sqrt(175) + 0)) + 1. -184*sqrt(7) + 9455 Simplify -2 + (1 + 1*(sqrt(343) + -1))*-3 + -2 + -1. -21*sqrt(7) - 5 Simplify 4 + -4*(-3 + 1*(2 + sqrt(32)) + sqrt(32)*2 + 3)**2. -1164 - 192*sqrt(2) Simplify 1 + ((sqrt(384)/sqrt(48))/sqrt(8))/(sqrt(16)/(sqrt(432)/sqrt(6) + sqrt(8))). 1 + 2*sqrt(2) Simplify (-5 + -2*(5 + -2 + sqrt(54)/(-2*sqrt(3))*2))**2. -132*sqrt(2) + 193 Simplify (-2*sqrt(2500))/((sqrt(50)*-2)/sqrt(10))*-2 + (-4*(sqrt(405) - (sqrt(405) + 1*sqrt(405)))**2 + 4)*-3. -20*sqrt(5) + 4848 Simplify (sqrt(30)/(sqrt(40)/(sqrt(4)*1))*-4 + (sqrt(1764)*2)/(sqrt(12)*2*5))*-1. 13*sqrt(3)/5 Simplify (-4 + 6*sqrt(700)*-1 + sqrt(700) - ((sqrt(700) + 2 + sqrt(700))*-1 + sqrt(700) + sqrt(700) + 2 + sqrt(700)*-2))**2. 240*sqrt(7) + 6316 Simplify (((sqrt(425) + 1 + 5 + sqrt(425))*4 - (3 + 1*(0 + sqrt(425))))*-3)**2. 13230*sqrt(17) + 191394 Simplify (-5*((sqrt(2) - sqrt(20)/sqrt(10)) + 0 + (sqrt(162) - sqrt(2))*-4)*5)**2 + 1. 1280001 Simplify (-2*((sqrt(5) - (sqrt(5) - (-2 + sqrt(80))) - 1*sqrt(20)/sqrt(4)) + 2 - (-5 + (5*sqrt(1960))/sqrt(8))))**2. -1280*sqrt(5) + 20580 Simplify (((-1*sqrt(189))/((sqrt(3) - (sqrt(15)/sqrt(5) - sqrt(3)))*-6) + -5)*5)**2 + 3 + 3. -125*sqrt(7) + 2699/4 Simplify (6*((-3*sqrt(140)*-2)/sqrt(10))/(sqrt(896)/sqrt(8)*5))**2. 162/25 Simplify (3*sqrt(77)*3 - ((sqrt(77) + -2*sqrt(77))*4 + sqrt(77)))/(sqrt(700) + 3*sqrt(700) - 3*sqrt(252)). 6*sqrt(11)/11 Simplify 5 + ((6*-4*((sqrt(288) - (0 + sqrt(288))) + sqrt(288)))**2 - (-3 + (6*sqrt(72)/sqrt(4) - sqrt(18))/sqrt(9))). -5*sqrt(2) + 165896 Simplify (-6*(sqrt(150) + 3*sqrt(150) + sqrt(150) + sqrt(150)))/(sqrt(2) + sqrt(242)*2 - (sqrt(2) + (sqrt(2) - sqrt(8)/(sqrt(4)*2)))). -360*sqrt(3)/43 Simplify (-4*sqrt(32)*-1 + (2*sqrt(8) - (-2 + sqrt(8)/sqrt(4))) - (-1*sqrt(288)*1 + 6*(sqrt(288) + 1)))**2. 328*sqrt(2) + 3378 Simplify (-5*1*sqrt(30))/(sqrt(216)/sqrt(4)) + (sqrt(50)/sqrt(250) - (2 + sqrt(45) + sqrt(45) - sqrt(45)))**2 + -1. 143*sqrt(5)/15 + 211/5 Simplify 5*(0 + (-2*sqrt(3500))/sqrt(7)*-2) + 4. 4 + 200*sqrt(5) Simplify ((6*-1*sqrt(432)*-2 + (sqrt(432) + 4*-1*sqrt(432) - 1*-2*sqrt(432)))*1*5)**2. 1306800 Simplify -4 + (-2*1*sqrt(1584)*3)/(-3*(1*sqrt(784) + sqrt(784))). -4 + 3*sqrt(11)/7 Simplify (-3*sqrt(76)*1 + -4*sqrt(76)*-1 + sqrt(76))/(sqrt(144) + 3*((sqrt(144) + (sqrt(144) - (sqrt(144) - -2*sqrt(144))) - sqrt(144)) + sqrt(144))). -sqrt(19)/6 Simplify (0 + ((sqrt(2432) + sqrt(2432) + sqrt(2432) + (sqrt(2432) - ((sqrt(2432) - 2*sqrt(2432)*6) + sqrt(2432))))*1)/(sqrt(72) + (sqrt(4)*1)/sqrt(2)))**2. 4864 Simplify ((3*sqrt(4)*5 - sqrt(4))/sqrt(2))**2 + 4 + (sqrt(10)/(sqrt(5) - (sqrt(5)*3 - sqrt(5))*-5))**2*-5. 47906/121 Simplify (((sqrt(126) - (-5*sqrt(126) + sqrt(126)))/sqrt(3) + -2*sqrt(42)*-1)/((sqrt(72) + (sqrt(72) - 2*-2*sqrt(72)))/sqrt(12)*-3))**2. 343/324 Simplify ((sqrt(77) - ((sqrt(77) - 1*sqrt(77)) + sqrt(77)))*2)/(2*sqrt(891)) - (-3 + (-1*sqrt(847))**2 + 4). -848 Simplify (3 + 5 + (1 + (sqrt(117)*2*-1 - sqrt(117)*-4*-1))*3)**2. -1188*sqrt(13) + 38029 Simplify (-2*(-3*sqrt(72)*1 + sqrt(162)/((sqrt(99)*-3)/sqrt(11) - sqrt(9)))*6)**2. 101250 Simplify 1 + (-4*-2*sqrt(288)*-4 + -1*(sqrt(288) - (sqrt(288) - (-3*(sqrt(288) + sqrt(288)*-1) + sqrt(288)))))**2*-3*-2. 1881793 Simplify (6*(-3*(sqrt(833)*1 + -1 + sqrt(833) - sqrt(833)) + (-2 + sqrt(833) + 1)*2))**2. -504*sqrt(17) + 30024 Simplify 6*4*(-1 + 2*sqrt(2048) + -4)**2. -15360*sqrt(2) + 197208 Simplify 5 + (sqrt(102)/(sqrt(10)/sqrt(5)) + sqrt(408)/sqrt(288))/((sqrt(1089)*1)/(sqrt(18)/(sqrt(6)*2))). 7*sqrt(17)/132 + 5 Simplify (-4*((sqrt(33) - (sqrt(33) + sqrt(1188))) + sqrt(33)))/(sqrt(11) - sqrt(1100)*-3) - (3 + sqrt(192)/sqrt(4) + -5)*-6. -12 + 764*sqrt(3)/31 Simplify ((sqrt(204) + -5*sqrt(204))*-3 - -1*(sqrt(204) - -5*sqrt(204)))/(6*-5*sqrt(1452)*3). -sqrt(17)/55 Simplify (sqrt(2205)*-5 - (sqrt(45) + 3*(sqrt(225)/sqrt(5) - sqrt(45))))/(sqrt(144) + sqrt(144)*1*2 + sqrt(144) - (sqrt(144) + 3*-2*sqrt(144) + sqrt(144))). -9*sqrt(5)/8 Simplify 2 + (4*(sqrt(931)*-1 + sqrt(931) + 4 + sqrt(931) + -4 + (-2*sqrt(931) - sqrt(931)) + (sqrt(2736) + (-2 + 2 + sqrt(2736) - sqrt(2736)))*4))**2. 351426 Simplify (((2*sqrt(133)*-1 + sqrt(133)*1*-4)*-2)/((sqrt(56) + sqrt(896)*-2)/(-2*sqrt(24)/sqrt(3))))**2. 10944/49 Simplify ((-3*(sqrt(1100) + -1)*3*3 + -3)*-1*-1)**2. -12960*sqrt(11) + 802476 Simplify (5 + (-5*sqrt(847) - sqrt(847))*6*-6*-3 + 3)**2*-1. -355658752 + 114048*sqrt(7) Simplify (sqrt(5103) + sqrt(77)/(-1*sqrt(11)) - ((sqrt(700) + (sqrt(700) - (1 + sqrt(700))) - sqrt(700)) + 5 - ((-2 + sqrt(700))*-4 - sqrt(700))))**2. -192*sqrt(7) + 4048 Simplify ((sqrt(65) + 2*sqrt(65)*5)/(sqrt(10)/(-1*sqrt(2))))**2 + (3 + sqrt(117) + 0 + sqrt(26)/sqrt(2) + 3)**2. 48*sqrt(13) + 1817 Simplify (2 + (4 + sqrt(704))*-3 - (((sqrt(704) - (0 + sqrt(704))) + sqrt(704))*6 + (sqrt(704) - (-4*(1 + sqrt(704)) - sqrt(704))) + sqrt(704)))**2*5. 17920*sqrt(11) + 902100 Simplify (sqrt(40)/(sqrt(4)*-3))/(3*sqrt(288)) - (4 + (5 + -1*sqrt(720) + 5)**2). -824 + 25919*sqrt(5)/108 Simplify (1*(sqrt(80) - sqrt(80)*-1)/sqrt(8)*-5)/((sqrt(128)*2*-1 - sqrt(128) - sqrt(128) - sqrt(128)) + (sqrt(128) - (-2*sqrt(128) - sqrt(128))*4)). -5*sqrt(5)/32 Simplify 1*(sqrt(125)*1*3 + sqrt(605) + (sqrt(605) + sqrt(605)*2)**2*-5 + (1 + 0 + sqrt(180) - (sqrt(180) - sqrt(180)*-1)*-4)**2). -12644 + 134*sqrt(5) Simplify (sqrt(9) - sqrt(144)*-1)/((sqrt(27) - (sqrt(675) + sqrt(27)))/sqrt(9)) - (sqrt(9) + 3*-3*sqrt(9))/(sqrt(972)/sqrt(9)). sqrt(3)/3 Simplify (1 + -4*(0 + sqrt(98) + 4)**2 + ((-1 + sqrt(98) - sqrt(98))*1 - (-2 + sqrt(98))*-2)**2)*-3. 114 + 1092*sqrt(2) Simplify (-2*(-5*1*sqrt(1700) - sqrt(1700))*1 - (5*5*(sqrt(1700) - (sqrt(1700) - sqrt(1700)*1)) + 3))**2. 780*sqrt(17) + 287309 Simplify -5 + ((sqrt(70)/(-1*sqrt(7)))/(-1*-2*sqrt(2)) + 1*(sqrt(450)/sqrt(10) + -5))**2. -25*sqrt(5) + 205/4 Simplify 5*((sqrt(22) - (sqrt(1408) + sqrt(22) + sqrt(22))*4)/((-4*sqrt(18))/sqrt(9)) + 3 + 2). 25 + 195*sqrt(11)/4 Simplify -5*(sqrt(85)*2*-3 - sqrt(85))/(sqrt(20)/(sqrt(4) - sqrt(12)/sqrt(3) - sqrt(4))) - ((1 + sqrt(612))*-4 + sqrt(612) + -1*sqrt(612)*-4)**2. -628 + 13*sqrt(17) Simplify 3*sqrt(22)/(sqrt(55)/sqrt(5)*4) + (sqrt(72)/sqrt(2))/(1*sqrt(2)*-4). 0 Simplify 1*(1 + (2 + (sqrt(832) + sqrt(832)*-1 + 0 + sqrt(832) - (sqrt(832)*-2 + -5)))*4)**2*-5. -603245 - 27840*sqrt(13) Simplify ((sqrt(1404) - -1*sqrt(1404))*2*4)/(sqrt(6)/sqrt(8) - -1*(sqrt(12) - sqrt(3))). 64*sqrt(13) Simplify ((5*(sqrt(190) + 2*sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190) - sqrt(190)))/(sqrt(10) - -2*sqrt(1440)))**2 - (0 + -4 + sqrt(2736) + 2). -12*sqrt(19) + 734/25 Simplify -1*6*5*((-3 + sqrt(2057)*1 + (1*sqrt(136))/sqrt(8) + sqrt(17) + 0)**2 + -5). -86310 + 2340*sqrt(17) Simplify -6*1*(sqrt(75) + -1 + 0) - ((5*sqrt(75))**2 + 1 + (sqrt(75) + sqrt(75) + 0)*-4). -1870 + 10*sqrt(3) Simplify (((sqrt(72) - 1*1*sqrt(72)) + sqrt(72) + sqrt(72))/sqrt(1200))/((sqrt(363) + -2*(sqrt(363)*1 + sqrt(363)) + sqrt(363))*-1). sqrt(2)/110 Simplify (-4*((sqrt(3267) - (sqrt(3267) - (0 + sqrt(3267)))) + sqrt(3267))*5 + (sqrt(3267) - (sqrt(3267)*-2 + -3) - (-1 + sqrt(3267) + -1)))**2. -12540*sqrt(3) + 4717573 Simplify ((-2 + (-6*(sqrt(1573) + -1) - 4*-1*sqrt(1573)) + 1 + 1)*-1)**2. -264*sqrt(13) + 6328 Simplify 6*(-2*sqrt(700)*-1 + -1 - (1 + 4*sqrt(700)*1))**2. 480*sqrt(7) + 16824 Simplify (-6*sqrt(85)*1 - sqrt(85))/(-2*-1*sqrt(5) + sqrt(5)) + (sqrt(17) + sqrt(170)/(-1*sqrt(10)))*-3 + 0. -7*sqrt(17)/3 Simplify 1*(2 + (sqrt(14)*3)/sqrt(2) + -2 + (sqrt(77)/(sqrt(44) - sqrt(11)) - (sqrt(7) + -4*sqrt(7) + 2))). -2 + 7*sqrt(7) Simplify sqrt(192) + -1 + (-2*sqrt(192))**2 + 5 - (2*sqrt(1452) + sqrt(1452))/(sqrt(108)/sqrt(3)). -3*sqrt(3) + 772 Simplify -3*(6*((2*sqrt(468)*-4 + sqrt(468) - (sqrt(468)*-2 + -5)) + (3 + sqrt(468) + 1 + sqrt(468) + sqrt(4
{ "pile_set_name": "DM Mathematics" }
t integer? 458 What is the cube root of 7171027 to the nearest integer? 193 What is 888555 to the power of 1/9, to the nearest integer? 5 What is the third root of 16445579 to the nearest integer? 254 What is the third root of 760677 to the nearest integer? 91 What is 12661 to the power of 1/2, to the nearest integer? 113 What is the cube root of 255449 to the nearest integer? 63 What is 444934 to the power of 1/2, to the nearest integer? 667 What is 428028 to the power of 1/5, to the nearest integer? 13 What is 342773 to the power of 1/2, to the nearest integer? 585 What is 5223528 to the power of 1/2, to the nearest integer? 2286 What is the cube root of 10467984 to the nearest integer? 219 What is 4251425 to the power of 1/2, to the nearest integer? 2062 What is 421937 to the power of 1/2, to the nearest integer? 650 What is 1470273 to the power of 1/5, to the nearest integer? 17 What is 511060 to the power of 1/3, to the nearest integer? 80 What is the ninth root of 870980 to the nearest integer? 5 What is the tenth root of 70615 to the nearest integer? 3 What is the square root of 6902587 to the nearest integer? 2627 What is the square root of 128138 to the nearest integer? 358 What is the third root of 153389 to the nearest integer? 54 What is 3756141 to the power of 1/9, to the nearest integer? 5 What is the eighth root of 5492052 to the nearest integer? 7 What is 630403 to the power of 1/7, to the nearest integer? 7 What is 4109282 to the power of 1/2, to the nearest integer? 2027 What is 1075428 to the power of 1/2, to the nearest integer? 1037 What is the square root of 3806650 to the nearest integer? 1951 What is 245133 to the power of 1/7, to the nearest integer? 6 What is the square root of 1136606 to the nearest integer? 1066 What is 269288 to the power of 1/2, to the nearest integer? 519 What is the cube root of 1410472 to the nearest integer? 112 What is 6310145 to the power of 1/8, to the nearest integer? 7 What is the cube root of 1621102 to the nearest integer? 117 What is the sixth root of 6805329 to the nearest integer? 14 What is 681887 to the power of 1/2, to the nearest integer? 826 What is the eighth root of 167226 to the nearest integer? 4 What is 145848 to the power of 1/3, to the nearest integer? 53 What is 1933126 to the power of 1/8, to the nearest integer? 6 What is 139391 to the power of 1/3, to the nearest integer? 52 What is the eighth root of 3777285 to the nearest integer? 7 What is the sixth root of 16925973 to the nearest integer? 16 What is 7470265 to the power of 1/9, to the nearest integer? 6 What is 1239971 to the power of 1/2, to the nearest integer? 1114 What is 455862 to the power of 1/10, to the nearest integer? 4 What is 1097755 to the power of 1/8, to the nearest integer? 6 What is 1354343 to the power of 1/3, to the nearest integer? 111 What is the square root of 2334183 to the nearest integer? 1528 What is the cube root of 1458532 to the nearest integer? 113 What is the third root of 2567963 to the nearest integer? 137 What is 1224159 to the power of 1/10, to the nearest integer? 4 What is the square root of 5256016 to the nearest integer? 2293 What is the square root of 3671673 to the nearest integer? 1916 What is 69142 to the power of 1/8, to the nearest integer? 4 What is the fifth root of 600123 to the nearest integer? 14 What is the seventh root of 47118 to the nearest integer? 5 What is 345717 to the power of 1/10, to the nearest integer? 4 What is 223218 to the power of 1/10, to the nearest integer? 3 What is the third root of 359482 to the nearest integer? 71 What is the third root of 1271254 to the nearest integer? 108 What is the eighth root of 567632 to the nearest integer? 5 What is the square root of 7960125 to the nearest integer? 2821 What is the square root of 1357829 to the nearest integer? 1165 What is 242341 to the power of 1/7, to the nearest integer? 6 What is the cube root of 1766676 to the nearest integer? 121 What is the cube root of 11770107 to the nearest integer? 227 What is the fifth root of 2387320 to the nearest integer? 19 What is 540250 to the power of 1/2, to the nearest integer? 735 What is the eighth root of 5373104 to the nearest integer? 7 What is the third root of 11511895 to the nearest integer? 226 What is the square root of 2058335 to the nearest integer? 1435 What is the third root of 2096404 to the nearest integer? 128 What is 4289062 to the power of 1/2, to the nearest integer? 2071 What is 442430 to the power of 1/5, to the nearest integer? 13 What is 1584805 to the power of 1/2, to the nearest integer? 1259 What is the square root of 391911 to the nearest integer? 626 What is 741201 to the power of 1/2, to the nearest integer? 861 What is the cube root of 230676 to the nearest integer? 61 What is 425297 to the power of 1/2, to the nearest integer? 652 What is the seventh root of 4355087 to the nearest integer? 9 What is the square root of 561399 to the nearest integer? 749 What is the square root of 22393358 to the nearest integer? 4732 What is 1044118 to the power of 1/2, to the nearest integer? 1022 What is the third root of 652989 to the nearest integer? 87 What is 90726 to the power of 1/3, to the nearest integer? 45 What is 12281711 to the power of 1/5, to the nearest integer? 26 What is 9008 to the power of 1/10, to the nearest integer? 2 What is the square root of 5424065 to the nearest integer? 2329 What is the sixth root of 302091 to the nearest integer? 8 What is 346334 to the power of 1/2, to the nearest integer? 589 What is 2810101 to the power of 1/7, to the nearest integer? 8 What is the third root of 1234765 to the nearest integer? 107 What is the cube root of 7853317 to the nearest integer? 199 What is 214131 to the power of 1/6, to the nearest integer? 8 What is 1113084 to the power of 1/2, to the nearest integer? 1055 What is 582193 to the power of 1/3, to the nearest integer? 84 What is the tenth root of 5730908 to the nearest integer? 5 What is 10905431 to the power of 1/8, to the nearest integer? 8 What is the cube root of 282792 to the nearest integer? 66 What is 1562112 to the power of 1/2, to the nearest integer? 1250 What is 3681558 to the power of 1/5, to the nearest integer? 21 What is the square root of 4782343 to the nearest integer? 2187 What is the cube root of 17993 to the nearest integer? 26 What is 5169127 to the power of 1/2, to the nearest integer? 2274 What is 6573969 to the power of 1/2, to the nearest integer? 2564 What is 3654219 to the power of 1/3, to the nearest integer? 154 What is the third root of 14313827 to the nearest integer? 243 What is 295557 to the power of 1/4, to the nearest integer? 23 What is 2277044 to the power of 1/6, to the nearest integer? 11 What is 25845844 to the power of 1/2, to the nearest integer? 5084 What is the square root of 5491839 to the nearest integer? 2343 What is the sixth root of 24507377 to the nearest integer? 17 What is 43519 to the power of 1/3, to the nearest integer? 35 What is the third root of 1444854 to the nearest integer? 113 What is the third root of 12540032 to the nearest integer? 232 What is 28562448 to the power of 1/6, to the nearest integer? 17 What is the third root of 205380 to the nearest integer? 59 What is 2372903 to the power of 1/2, to the nearest integer? 1540 What is 7514910 to the power of 1/3, to the nearest integer? 196 What is 314192 to the power of 1/2, to the nearest integer? 561 What is the cube root of 2447566 to the nearest integer? 135 What is the square root of 74904 to the nearest integer? 274 What is 1369131 to the power of 1/4, to the nearest integer? 34 What is 179069 to the power of 1/7, to the nearest integer? 6 What is the cube root of 18413494 to the nearest integer? 264 What is the fourth root of 6033814 to the nearest integer? 50 What is the fourth root of 1134682 to the nearest integer? 33 What is 117341 to the power of 1/8, to the nearest integer? 4 What is the third root of 174153 to the nearest integer? 56 What is the square root of 1256521 to the nearest integer? 1121 What is 5049602 to the power of 1/2, to the nearest integer? 2247 What is 347682 to the power of 1/7, to the nearest integer? 6 What is 15087 to the
{ "pile_set_name": "DM Mathematics" }
e third biggest value? (a) -12 (b) -0.1 (c) 3 (d) -3/7 (e) 167 b Which is the biggest value? (a) 0.1 (b) -4 (c) 1562 (d) -1/5 (e) -5 (f) -2 c What is the fifth biggest value in -0.3, 4, 22, 0, -0.01, -0.1? -0.1 What is the smallest value in -2/3, -0.5, 4/5, 2, -6/1039? -2/3 Which is the biggest value? (a) 3 (b) -2 (c) 4 (d) 2 (e) 3984 (f) 2/7 e What is the fourth smallest value in 3.91, -3/4, 1, 4, 0.3, -0.1? 1 Which is the fifth smallest value? (a) -2/15 (b) -2.2 (c) 0.52 (d) -4 (e) 0.3 (f) -0.6 e What is the smallest value in 0.085, 8.19, 3? 0.085 Which is the third smallest value? (a) 0 (b) -3/10121 (c) 0.3 c What is the smallest value in -0.15, 1, -167? -167 What is the biggest value in 2/7, -16, -89, -2/17, 5? 5 Which is the fourth smallest value? (a) 3/4 (b) -3.735 (c) 1/8 (d) 0.4 (e) 0 d What is the biggest value in 0.11, 4, 0.5, 1/4, 1/2827, -0.5? 4 Which is the third smallest value? (a) 4 (b) 4/17 (c) -2/21 (d) 5 (e) -1/2 b Which is the sixth biggest value? (a) 29 (b) -2/7 (c) 14 (d) 2 (e) -2 (f) 0.1 e What is the third smallest value in 10, 4, 3151? 3151 Which is the fourth biggest value? (a) 8122/5 (b) -2/7 (c) 12 (d) -0.1 b What is the fifth smallest value in -13, 0.1, -52, 6, 3/5, -4? 3/5 Which is the second smallest value? (a) 2/41 (b) 0.48 (c) -2 (d) -1 (e) -4 (f) 0 c Which is the second biggest value? (a) -166 (b) -5 (c) -1 (d) 0.39 c Which is the fifth biggest value? (a) 7 (b) 5 (c) 0.086 (d) -2 (e) 1 d Which is the second smallest value? (a) 14/5 (b) -0.3 (c) 16/9 c What is the fourth biggest value in 20.95, 99, 5, -0.5? -0.5 What is the second biggest value in 5, 19, 1/3, 5/3? 5 What is the second smallest value in 0.4, 10046, 1/4? 0.4 What is the third smallest value in 0.101, -71, -3/22, -0.5? -3/22 What is the smallest value in -6, 5, -2/5, -9/76, 2/3? -6 Which is the third smallest value? (a) 4 (b) -37 (c) -1/6 (d) 650 a Which is the smallest value? (a) -488 (b) -3 (c) -1/4 a Which is the fourth biggest value? (a) 15 (b) 3 (c) -20 (d) -2 (e) 2/7 d What is the fifth biggest value in 16541/3, -1/5, 4/11, -3/4, 0.5? -3/4 What is the fourth biggest value in 0.4, 0.5, 0.6, -311? -311 Which is the second smallest value? (a) 0.111 (b) 221 (c) 3 c What is the second smallest value in -4, 398, -5/6? -5/6 What is the fourth smallest value in 2, -2, -181/14, 2/9? 2 Which is the fifth smallest value? (a) -4 (b) 14.1 (c) 3/5 (d) 0.03 (e) -0.06 (f) -0.4 c Which is the third smallest value? (a) 544/3 (b) 3 (c) -32 a Which is the smallest value? (a) 1/15 (b) 0.2916 (c) -0.1 (d) 4/5 c What is the third smallest value in 2, 39130, 3? 39130 Which is the third biggest value? (a) -6 (b) -0.3 (c) -3 (d) 23 (e) 25 (f) 0 f What is the second biggest value in 5, -1.698, -8, 9? 5 What is the third biggest value in 1/5, 17/10, 0.4, -161? 1/5 What is the sixth smallest value in 0.4, 121, 40, 3, 0.2, 0.1? 121 What is the smallest value in -1, 365, 11.2, 0.5? -1 What is the biggest value in -12370/23, 0.2, -1/4? 0.2 What is the third biggest value in -8, 14, -368, -0.3? -8 Which is the sixth biggest value? (a) 0 (b) 45.1 (c) 2 (d) 0.4 (e) 5 (f) -4 f What is the second biggest value in -1, -11, -0.09, -4, 0.03? -0.09 What is the third smallest value in -2/9, 2/23, -1038.7? 2/23 Which is the third biggest value? (a) 4/7 (b) -0.9 (c) 0.2 (d) -12 (e) 0 (f) 3/56 f What is the fourth smallest value in -4, 4, -0.088, 8, 1? 4 What is the second smallest value in -2/39, -1/5, 0.3, 2/8021? -2/39 What is the third biggest value in -0.009, 3/8, 174? -0.009 Which is the fourth biggest value? (a) 0.2 (b) 845 (c) 21 (d) -3/7 d Which is the fourth smallest value? (a) -1024 (b) 3/7 (c) 5 (d) 2/3 c What is the second smallest value in -531, 1/5, 3, -0.3, -5? -5 Which is the second biggest value? (a) 85 (b) 5 (c) 0.2 (d) 0.0086 (e) 3 b Which is the third biggest value? (a) 301 (b) -1 (c) 30 (d) -0.01 d Which is the biggest value? (a) 67 (b) 2 (c) 0.5 (d) 0 (e) -1604 a What is the biggest value in 2.3, -4, 153? 153 What is the biggest value in -4, -598/25, -0.45, 1? 1 What is the biggest value in 0.14, 5/2, -5023? 5/2 Which is the second smallest value? (a) 0.3 (b) -34 (c) -3/160 c What is the fourth smallest value in 4, 5, -0.034, 0, -358? 4 Which is the second smallest value? (a) 0.5 (b) -3/11 (c) -1/12 (d) -5 (e) -2.22 (f) -2/11 e What is the biggest value in 4/5, 5, 1.142, 1, -0.04? 5 Which is the third smallest value? (a) -0.4 (b) 1/2 (c) 58 (d) 1376 (e) 0.1 b What is the fifth biggest value in -0.1, 0.4, 0.2, 17, -7/11, 1? -0.1 Which is the fourth biggest value? (a) 7 (b) -39 (c) 3 (d) 0.2 (e) -14 e What is the sixth smallest value in -11, -4/5, 59, -4, -1, -0.4? 59 What is the biggest value in 0, -7262, 0.5, -0.2, 0.3? 0.5 What is the sixth smallest value in 0.5, -0.5, -141/4, 0, -3, -9/7? 0.5 Which is the second biggest value? (a) 6/7 (b) 24 (c) -1/7 (d) -0.035 (e) -1 (f) 0.2 a What is the fourth biggest value in -4, -3/2, 205, -1/5, 35? -3/2 What is the second smallest value in 9, 2/7, -0.33, 0.3, -0.22, -0.4? -0.33 What is the smallest value in -3/5, 17/5, -0.4, 1/4, -116? -116 What is the second smallest value in -0.13, -36, 1, -2? -2 What is the smallest value in 0.003, -189.1, 4? -189.1 What is the third smallest value in -0.2, -5, 2/15, -758? -0.2 What is the third smallest value in 0.3, 0.0029, 0, 108.5? 0.3 Which is the smallest value? (a) 0.1 (b) -1/2151 (c) -58 c Which is the third smallest value? (a) -3 (b) -0.2 (c) -29 (d) 1139 b Which is the smallest value? (a) 4 (b) 138 (c) -1/30 (d) -5/2 (e) -5 e What is the smallest value in -89, -9, -1, -0.03? -89 Which is the smallest value? (a) -5 (b) -75.49 (c) -2/5 b What is the second smallest value in 0, 2/9, -106066? 0 Which is the third biggest value? (a) 10 (b) 54 (c) -1.6 c Which is the third smallest value? (a) -2/13 (b) 11 (c) 0.2 (d) 5 (e) -2/11 c What is the second biggest value in 3/5, -14923, -0.2, -2/3, 2/11? 2/11 What is the third smallest value in -0.4, -6.7, -2/11? -2/11 What is the fifth biggest value in -5, -0.07, -1/2, 4, -84, -6? -6 What is the third smallest value in 9, -0.2, 1, -8, -0.06? -0.06 Which is the third biggest value? (a) -0.092 (b) -2.9 (c) 61 b Which is the third smallest value? (a) -3 (b) -0.924 (c) 0.07 c Which is the smallest value? (a) 2 (b) -3 (c) -5 (d) 9 (e) 6 c Which is the second smallest value? (a) 0.2 (b) 2778 (c) -0.2 a Which is the third smallest value? (a) 3 (b) 3/52 (c) 0 (d) 1/9 d Which is the biggest value? (a) -0.3 (b) 0.2 (c) 3 (d) 9.46 (e) -5 (f) -1/14 d What is the second smallest value in 6/7, 16.07, 1, 4? 1 What is the biggest value in -0.4, -32, 5923? 5923 What is the fourth biggest value in -0.11, 7, 5, 3, -1? -0.11 What is the biggest value in 4/9, 15/31, -4? 15/31 Which is the third biggest value? (a) 0.3 (b) 4 (c) 110 (d) -2/17 (e) -2 (f) 2/129 a Which is the fifth biggest value? (a) -2 (b) 0.3 (c) 2 (d) -4.3 (e) -27/11 d Which is the second smallest value? (a) 8 (b) 0.1633 (c) 1 (d) -0.8 b Which is the fourth biggest value? (a) 0 (b) -17 (c) -0.5 (d) 1 (e) 2.3 c What is the fourth smallest value in 2/9, 32, -3/1003, 2/15? 32 What is the third smallest value in 3/4, -5, -0.04192, -4/29? -0.04192 Which is the fifth smallest value? (a) 2 (b) -0.2 (c) 0.1953 (d) 2/7 (e) -0.09 a What is the biggest value in -4, 0, -2, -2/27, -178? 0 Which is the sixth smallest value? (a) -7 (b) -4 (c) 0.5 (d) -1/2 (e) 8 (f) 2/545 e What is the third biggest value in -45, -0.03, -4, 119? -4 Which is the third smallest value? (a) -4 (b) 3 (c) -76 (d) -1.4 d Which is the third biggest value? (a) 2797/2 (b) 1 (c) -0.1 (d) -2 (e) 4 (f) -1/2 b What is the second biggest value in 10.2, -5/8, 0.1, -2/23? 0.1 What is the second smallest value in 1/4, -16.45, 2/23? 2/23 What is the fifth biggest value in -0.05, 34/9, -0.3, -27, -2/19? -27 What is the biggest value in -1, -4, -2/5, -21? -2/5 Which is the fifth smallest value? (a) -0.3 (b) -1/5 (c) 4 (d) -1926/13 (e) 3/8 c Which is the second smallest value? (a) -0.4 (b) -85031
{ "pile_set_name": "DM Mathematics" }
3, -0.1, -763? 1/3 Which is the closest to -0.1? (a) -12 (b) 3 (c) 1/4 (d) -1 (e) 4/241 (f) 2/9 e Which is the closest to -1986/271? (a) -3/5 (b) -2/9 (c) 4 (d) -1/4 a Which is the closest to -480? (a) -239 (b) -2/5 (c) 60 a What is the closest to -1/3 in 12, -4, -564951, 3/4? 3/4 What is the nearest to 0 in 4, -5, 1/2, 0.611, -4/5? 1/2 Which is the closest to -1? (a) 0.3 (b) 0.044 (c) 30 (d) -22 (e) -35 b What is the nearest to 1/4 in 22, 1, -6/1823? -6/1823 Which is the nearest to -1.2? (a) 0 (b) -0.5 (c) -1 (d) -87 (e) -17/7 c Which is the nearest to -1? (a) 1 (b) -2/13 (c) 5483 (d) 0.06 (e) 3 b Which is the nearest to 0.03? (a) 19/4 (b) 2 (c) 44/27 c Which is the nearest to -1? (a) 3 (b) -2/11 (c) 1/2 (d) 3/62 (e) -43.6 (f) 1 b What is the nearest to -8/8863 in 2/9, -4, 0.4, -5? 2/9 Which is the closest to -2? (a) 1/3 (b) -62 (c) 0.5 (d) 52/53 (e) -1 (f) -5 e Which is the nearest to -7.18? (a) -4/5 (b) 526 (c) -3 c What is the nearest to 1/2 in 1/4, -741, 8242? 1/4 What is the nearest to -0.1 in -0.3, -1796, 5/22, -6/67, 1/6? -6/67 Which is the nearest to 1784? (a) -4 (b) -13/4 (c) 0.27 (d) -0.02 (e) -2/5 c Which is the nearest to 0.1? (a) 0.128 (b) 2.71 (c) -0.041 a What is the nearest to 1/4 in 33, 1/9, -2, 1/415? 1/9 Which is the nearest to -278? (a) 0.3 (b) 11 (c) 1.89 a What is the nearest to -3 in 2/17, -3, 207, -2.921? -3 What is the closest to 0.03 in 217, -1/9, 12915? -1/9 What is the nearest to -1/3 in 4/85, 20.1, 0.6? 4/85 Which is the closest to 54? (a) -4/9 (b) -0.05 (c) -2/5 (d) -46 (e) 2 e Which is the nearest to -2? (a) -2/47 (b) -0.3 (c) 100 (d) -0.2 b What is the closest to 3 in 6, 0.3, -2168/15, -0.06, -0.1? 0.3 Which is the nearest to -2/33? (a) 724358 (b) 3 (c) 2 (d) 2/7 d Which is the nearest to 0.02? (a) 2 (b) 2/3 (c) -1479/31 (d) 10 (e) -0.3 e What is the nearest to -1/12 in -5, -0.3, -0.2, 0.29, 3370? -0.2 Which is the closest to 126344? (a) -28 (b) 2/17 (c) 23 c Which is the nearest to 20? (a) 2/11 (b) -1 (c) -6413 a What is the nearest to -0.2076 in 10, -291, 0.1? 0.1 What is the nearest to -186/23 in 3, -2/3, -2/5, -41/3, -1? -41/3 What is the closest to -1 in -0.5, -1/11, -12751, -1/16? -0.5 Which is the closest to 159/11? (a) -3/5 (b) -5 (c) -25 (d) 3 d What is the nearest to -3/2 in 1/10, -1813, -0.1, 549/7? -0.1 Which is the nearest to 2? (a) 8 (b) -0.2 (c) -1/6 (d) -1 (e) -2024 c Which is the nearest to 2/29? (a) 7 (b) 1710/23 (c) 1/4 c What is the nearest to 0.3 in -51, -208, 6/145? 6/145 Which is the closest to 1? (a) 190 (b) 4/9 (c) 2 (d) 3 (e) -45 b What is the nearest to -24 in -3, -1/8, 2/7, 99192? -3 What is the closest to -1 in 5/3, 83/12, -2, -2/11, 1? -2/11 Which is the nearest to 1/5? (a) 2/7 (b) 1 (c) -7.9 (d) -1/10 a What is the nearest to 2/3 in 4/13, -0.1, -33, 2/131, 0? 4/13 What is the nearest to 0.7 in -2, -4803, -39? -2 What is the closest to 370 in 1, -0.24, -208? 1 Which is the nearest to -101.986? (a) 1 (b) -3/4 (c) 0.2 (d) -0.3 b Which is the closest to -28? (a) -0.9 (b) 9 (c) -3/4 (d) 2/21 a What is the nearest to 5 in 1/7, 0.3, -1, 10.601? 0.3 What is the nearest to -0.1 in -2, 6, 5, -0.049, 38? -0.049 Which is the closest to 794483/5? (a) -0.4 (b) 5 (c) 13 c What is the nearest to -5 in 41, 1/13, -0.5, -3, -0.1, 1/2? -3 Which is the closest to -0.2? (a) -1/6 (b) -354/19 (c) -46 (d) 2 a What is the closest to 3 in 2, -4498, 3.8? 3.8 What is the nearest to -59 in -2/7, 0.3, -49990, -5? -5 What is the nearest to -0.11 in 0.5, -419, -324, -3/7, -3? -3/7 What is the nearest to 1 in -299.6351, -2, 3? 3 What is the closest to -1/4 in -3, -14/29, -0.3, -2, -610, 3? -0.3 What is the closest to -2 in -4/7, -516, 3.929, -3, -4, 2/9? -3 Which is the nearest to -2/7? (a) 2 (b) -117/1936 (c) 6 b What is the closest to 1/253 in -0.5, 1/6, -16787? 1/6 What is the closest to -181 in 8, 4/7, -0.5, -29.83, -1/4, -4/5? -29.83 Which is the closest to -8? (a) -0.16 (b) -9 (c) -1/11 (d) 125 b Which is the nearest to 0? (a) -5 (b) 1187 (c) -18 (d) 2 (e) -1/2 e Which is the closest to -57/25? (a) 0 (b) 1 (c) -3 (d) 5 (e) -2/11911 c What is the closest to 3 in -0.048, -1/3, 444, 2/9, -0.02, -1/2? 2/9 Which is the nearest to 25/6? (a) 0.22 (b) -462 (c) 1 c Which is the nearest to 0? (a) -0.11 (b) 5 (c) -3/2 (d) -0.0648038 d Which is the closest to -2? (a) 2/11 (b) 0.3 (c) -1 (d) 18 (e) 69 c What is the closest to -2/3 in 2/13, -0.27, 0.6, -5? -0.27 What is the nearest to -0.2 in -0.3, -3268, 17.5? -0.3 Which is the closest to -6/11? (a) 100/3 (b) 7/4 (c) 0.5 (d) 1/8 (e) -2/13 e What is the closest to -5 in 196, -1054, -4, -0.5? -4 Which is the nearest to 20? (a) -2/57 (b) -4/7 (c) -8 (d) 0.5 (e) -3/269 d Which is the closest to -54? (a) -3 (b) 397 (c) -16 (d) 1/2 (e) 1 c What is the nearest to 0.4 in -562/33, -4/7, -5, -2? -4/7 What is the closest to -0.7 in 2, -1/5, 1952, 5? -1/5 Which is the closest to 302/5? (a) 611.9 (b) -2/5 (c) 0.1 c What is the closest to -3 in -0.01, 4/3, 122513/6, 2/7? -0.01 Which is the closest to -2125/1512? (a) 5 (b) 2 (c) 1/5 c What is the closest to -0.2 in 1015, -0.2, 873? -0.2 What is the nearest to -6 in -0.33, -54, -9, 1/4, 5? -9 Which is the nearest to -1? (a) -208 (b) -1/6 (c) 17 (d) 0.18 (e) 0 b Which is the closest to -0.0368? (a) 34 (b) -1 (c) 0.0643 c Which is the closest to -0.1? (a) -3 (b) -468 (c) -33784 a What is the closest to 613 in -0.71, 1/8, -0.1? 1/8 Which is the closest to -1/4? (a) -3 (b) -1 (c) 0.4 (d) 3/26 (e) 6662 d What is the closest to -866 in 5/6, 2, -1849, -1/4? -1/4 What is the nearest to -0.6 in 5, 9125, 2/7, -2/9, 4? -2/9 What is the nearest to -1/12 in -10, 3/5, -21, 0.5? 0.5 Which is the nearest to -7? (a) -1361/5 (b) 0 (c) 22.5 b Which is the closest to -528? (a) -51 (b) 0.3 (c) 0.07 a What is the closest to 2 in -4, 1.1, -303, 2/9, -5, 1.63? 1.63 What is the nearest to 5062 in 0.1, -2, -19, 0, 2/5? 2/5 Which is the closest to 5? (a) 0.4 (b) 2/11 (c) 1/3 (d) 7/4 (e) -3 (f) 199 d Which is the nearest to 0? (a) -362 (b) -0.22 (c) -2303 b What is the closest to 0.18 in -7, 2/2759, 0.3, 1/4? 1/4 Which is the closest to 2/11? (a) 3 (b) -36752.7 (c) 1/2 c Which is the closest to -3/5? (a) 1 (b) 1142.2 (c) 2 (d) 7 (e) -10 a Which is the nearest to -70? (a) 4 (b) 2.3 (c) 6/13 (d) -1/2 (e) 2/21 (f) 44 d What is the closest to 1.2 in 248, 5, -3, 0, 3? 0 What is the nearest to -1/4 in 5, 4/7, 10, 9.38, 0.3, 1? 0.3 What is the closest to -2/5 in 2, 29/69, -5, 1, -13? 29/69 What is the nearest to 7.7 in -5, 469, -1.9, -0.1? -0.1 What is the closest to 0.11 in 3/5, -7, 6173, -1? 3/5 Which is the closest to 1/3? (a) -0.04 (b) 3/2 (c) 5 (d) 2985/11 a What is the nearest to 0.7 in -3, -4, -0.2, 79897? -0.2 Which is the nearest to 2? (a) -42/5 (b) -4 (c) 3 (d) 195 (e) 1/4 c What is the nearest to 326 in 0.08, -1/5, -34, 2? 2 What is the closest to -2 in 31071, -1/19, -1/4, -0.4? -0.4 Which is the nearest to -1? (a) -5/16 (b) 5 (c) -225 (d) -17 (e) -1 e What is the nearest to -0.22045 in 0.3, 3, -150? 0.3 Which is the closest to 32244? (a) 0.3 (b) 3/4 (c) -4 (d) 2/15 b What is the nearest to 0 in 146, 3/14, -4/713, 3? -4/713 Which is the closest to 1? (a) -42.24 (b) 0.3 (c) -1/5 (d) 783 b Which is the closest to -0.1? (a) -862 (b) -4 (c) 4 (d) 0.5 (e) -1/2 e Which is the closest to -528/19? (a) -0.3 (b) -5 (c) -2/27 (d) 38 (e) -2 b What is the closest to -2/3 in 0.175, -140, 8/7, 0.5, 4? 0.175 What is the closest to -8600 in 0.23, 0.3, 2/13, 19? 2/13 What is the closest to -2/3 in -0.4, 5, -2/13, 0.006, -28.46? -0.4 What is the closest to -0.23 in 0.59, -2, -4, -71, 4? 0.59 What is the closest to 8 in 1/13, 955, -32, 3, 1? 3 What is the nearest to -2 in -64036/213, 4, 2/17? 2/17 What is the nearest to 1/6 in 0.062, -6525, 4, 0, 2? 0.062 What is the closest to 1/2 in -1, -307, -874? -1 What is the nearest to -20 in 3/4, 12939/5, -0.4? -0.4 Which is the nearest to -0.397? (a) -3/4 (b) -0.308 (c) 2/19 b What is the closest to -10 in -6/19, 0.1, -0.03, 49.7? -6/19 What is the nearest to -2 in -21, 0.15, -2, 0.1, -11,
{ "pile_set_name": "DM Mathematics" }
second derivative of -5*w**3 - 5*w**3 + 33*w**t + 85*w - 103*w wrt w? 138*w Differentiate 2*d**3 + 261*d**4 - 56*d**4 + 42*d**4 - 14728 + 630*d**4 with respect to d. 3508*d**3 + 6*d**2 Suppose 161*o = 170*o. Let f(x) be the third derivative of -13*x**2 + 0*x + o + 1/6*x**4 + 4/3*x**3. Find the first derivative of f(l) wrt l. 4 Let y(l) be the first derivative of -1117*l**4/4 + 2116*l**2 - 3533. Find the second derivative of y(h) wrt h. -6702*h Let i = 7222 + -7218. Let w(r) be the third derivative of 0 + 0*r**i + 0*r**5 - 1/15*r**6 - 17*r**2 + 0*r + 3/2*r**3. Find the first derivative of w(b) wrt b. -24*b**2 Let z be ((-72)/(-20))/((-4)/(-50)). What is the third derivative of 16*t**4 - 18*t**2 - 40*t**2 + 13*t**4 - 32*t**2 + z*t**2 wrt t? 696*t Let b(h) = -13*h**3 + 8*h**3 + 4*h + 7*h**3 - 3*h. Let g be b(1). What is the second derivative of 77 - 77 - 10*l**g - 3*l wrt l? -60*l Let d(p) be the first derivative of -10*p**3 - 25*p**2 + 98*p - 152. Let f(q) be the first derivative of d(q). What is the derivative of f(h) wrt h? -60 Suppose -2*i + i - 4 = 0, 2*j + 5*i = 88. Let t = 423 + -411. Find the second derivative of -t*b**4 - j*b + 37*b - 10*b**4 wrt b. -264*b**2 Suppose -4*i + 50 = -38. What is the derivative of 0*n - i - 3*n + 2*n + 109 + 12*n**2 + 49 wrt n? 24*n - 1 Let m(l) be the first derivative of 2/3*l**3 + 0*l**5 - 4*l - 5/2*l**6 - 1/7*l**7 + 0*l**4 + 0*l**2 - 53. What is the third derivative of m(f) wrt f? -120*f**3 - 900*f**2 Suppose 4 = -4*a, -4*y + 2*a + 286 + 460 = 0. Suppose k - 3*b = 69, 51 = 3*k - 3*b - y. What is the derivative of -26*i**4 - 44 + k - 25 wrt i? -104*i**3 Let w(j) = -2*j**3 - 19*j**2 - 25*j - 5. Let o be w(-8). What is the first derivative of -27 - 23 + 5 + 171*c**o wrt c? 513*c**2 Let a(y) = -2*y**2 - 56*y + 2. Let g be a(-28). What is the second derivative of 136*z**g - 52*z**2 + z + 9 + 76*z**2 + 132*z**2 wrt z? 584 What is the second derivative of 3872*r**2 + 3327*r - 7017*r + 3142*r wrt r? 7744 What is the third derivative of -5522*s**3 + 1436*s**4 - s**2 + 5522*s**3 + 396*s wrt s? 34464*s Let f(q) be the first derivative of 1539*q**4/4 + 4*q**3/3 - 23*q + 5320. Find the third derivative of f(d) wrt d. 9234 Let z(f) be the second derivative of -157*f**6/720 - 4*f**5/15 + 9*f**4/2 - 57*f. Let d(x) be the third derivative of z(x). Differentiate d(g) wrt g. -157 Let w(v) be the second derivative of -41*v**8/56 + 8*v**6/15 - 5*v**4/6 + 35*v**3/6 + 3*v**2/2 + 12117*v. Find the third derivative of w(g) wrt g. -4920*g**3 + 384*g Let v(x) be the first derivative of 841*x**6/3 + 2575*x**2/2 - 508. What is the second derivative of v(g) wrt g? 33640*g**3 Let a(k) = -9*k**3 + 7*k**2 - 70*k + 192. Let z(q) = -7*q**3 + 6*q**2 - 73*q + 188. Let j(m) = -5*a(m) + 6*z(m). What is the derivative of j(p) wrt p? 9*p**2 + 2*p - 88 Let j be 2/(-5) - (-1 + (-192)/30). Find the second derivative of 46*y**4 - j*y + 3 - 4 - 146*y**4 wrt y. -1200*y**2 Let y(k) be the third derivative of 113*k**8/12 - 4139*k**4/24 - k**3/6 + 13656*k**2. What is the second derivative of y(v) wrt v? 63280*v**3 Let u(c) = 3033*c**3 + 3*c**2 + 187*c + 12. Let j(p) = -6065*p**3 - 4*p**2 - 373*p - 27. Let v(i) = 4*j(i) + 9*u(i). Find the third derivative of v(q) wrt q. 18222 Let g = -10664 - -10678. Let p(l) be the first derivative of g + 0*l**3 + 14*l + 0*l**2 + 17/2*l**4. What is the first derivative of p(i) wrt i? 102*i**2 Let w = -37 - -48. Let y = 18 - w. What is the derivative of 1 - y + 35*p**4 - 9*p**4 wrt p? 104*p**3 Let f(u) be the first derivative of 1/3*u**3 + 2 - 34*u + 17/2*u**2. Differentiate f(h) wrt h. 2*h + 17 Suppose -4*l + 22 = 5*g - 27, -3*g + 27 = 2*l. Find the third derivative of 15 - 143*s**l - 137*s**2 + 54*s**6 - 15 wrt s. -10680*s**3 Let m = 300 + -177. What is the second derivative of -m*d**4 - 17*d - 1 + 264*d**4 - 14*d wrt d? 1692*d**2 Let m = 20 - 5. Let i(h) = -h**2 + 7*h - 10. Let b be i(4). Find the first derivative of -r - 8*r + m + b wrt r. -9 Find the second derivative of 2 - 1589*h**2 + 8*h + 4*h - 15*h + 4*h + 1 wrt h. -3178 Let x(d) be the third derivative of 0*d**4 - 97/6*d**3 - 1/60*d**5 + 0*d + 65 + 7/24*d**6 - d**2. Find the first derivative of x(b) wrt b. 105*b**2 - 2*b Let m(u) = u**4 + 10*u**3 + 2*u**2 + 1. Let p(d) = -48*d**4 + 40*d**3 + d**2 - 1553. Let n(b) = 4*m(b) - p(b). Differentiate n(z) wrt z. 208*z**3 + 14*z Let r(h) = -1353*h - 5455. Let d(f) = 1363*f + 5454. Let m(z) = -4*d(z) - 3*r(z). What is the derivative of m(v) wrt v? -1393 Suppose -3*y + 43 = 16. Suppose -5*n - 1 = -3*g + y, 4*n = -3*g + 19. What is the third derivative of -2*c**2 + 14*c**g - c**2 - 23*c**2 wrt c? 840*c**2 Find the second derivative of 2107*c**5 - 34*c - 2244*c**5 + 27 + c**3 - 60*c wrt c. -2740*c**3 + 6*c Let t(g) be the first derivative of 25/2*g**4 + 26/3*g**3 + 31 + 0*g**2 + 0*g. What is the third derivative of t(k) wrt k? 300 Let x(j) = 16*j - 11*j - 14*j - 25. Let b be x(-3). What is the third derivative of -86*d**3 + 2*d**4 - 4*d**4 + 4*d**4 + 34*d**b + 96*d**3 wrt d? 48*d + 60 Let t(b) be the second derivative of b**5/20 - 89*b**4/6 + 31*b**2 - 292*b - 2. Differentiate t(x) with respect to x. 3*x**2 - 356*x What is the second derivative of 10 - 1751863*g**4 + 10 - 5*g + 1754074*g**4 wrt g? 26532*g**2 Let y be 6 + 4*(15 + -7). Suppose -33 + 161 = 4*s. What is the first derivative of 5 + 33*j - y - 31*j + s*j wrt j? 34 Differentiate 212 - 1076 + 346*p**4 + 81*p**4 + 428*p**4 wrt p. 3420*p**3 Let c(h) = -2258*h**3 - 20*h**2 - 63*h - 17. Let y(s) = 2258*s**3 + 18*s**2 + 54*s + 18. Let m(x) = 6*c(x) + 7*y(x). Find the third derivative of m(n) wrt n. 13548 Let r(b) be the first derivative of -79*b**7/210 + 9*b**3/2 + 89*b**2/2 + 167. Let o(u) be the second derivative of r(u). What is the derivative of o(p) wrt p? -316*p**3 Let d = 0 + 1. Let b(c) = -c**2 - c. Let f(w) = -4*w**2 - w + 15. Suppose -19*r - 45 = 26*r. Let z(a) = d*f(a) + r*b(a). Differentiate z(o) with respect to o. -6*o Let d(x) = 69*x**3 - 75*x**2 - 9. Let s(y) = -13*y**3 + 51*y**2 - 21*y**3 - 14*y**2 + 5. Let n(h) = 5*d(h) + 9*s(h). What is the third derivative of n(l) wrt l? 234 Let v be (-133)/(-28) - 2/(-8). Find the second derivative of 5*b**5 - 3*b**2 + v*b + 23 + 13*b - 21 wrt b. 100*b**3 - 6 Suppose c - 28*c = -54. What is the third derivative of -c*n**5 - 109*n**2 - 25*n**2 - 4*n**4 + 7*n**4 wrt n? -120*n**2 + 72*n Let z(x) be the second derivative of -18*x**6/5 - 3*x**5/10 - 1655*x**4/12 + 1027*x. Find the third derivative of z(h) wrt h. -2592*h - 36 Let o(i) be the second derivative of 1192*i**8/7 - 5*i**4/3 + 11*i**3/6 - i**2/2 + 339*i. Find the third derivative of o(f) wrt f. 1144320*f**3 What is the third derivative of -5217*l**2 + 18810*l - 18810*l - 3583*l**3 wrt l? -21498 Find the second derivative of -6*k**2 + 162737*k**3 - k**4 - 5760*k - 162809*k**3 - 1873*k - 2*k**4 wrt k. -36*k**2 - 432*k - 12 Find the third derivative of -23*f**3 + 39*f**3 + 594*f**2 + 1600*f**4 + 888*f**2 - 16*f**3 wrt f. 38400*f Let l(h) = -561*h**3 + 13*h**2 + 7*h + 60. Let j(t) = 281*t**3 - 6*t**2 - 3*t - 30. Let z(y) = -7*j(y) - 3*l(y). What is the third derivative of z(f) wrt f? -1704 Let t(n) be the third derivative of -327*n**7/70 - 113*n**5/12 + 28*n**2 + 3*n. Find the third derivative of t(x) wrt x. -23544*x Suppose -255 = -3*j + 1737. What is the second derivative of -664*b**2 - 83*b**4 + 87*b + j*b**2 wrt b? -996*b**2 Let q = -87 - -90. What is the derivative of 12 + 8*w**q + 18 + 7 + 20 wrt w? 24*w**2 Let d be 88/(-308) + (-2)/14*-58. What is the third derivative of d*m + 35*m**6 - 3*m**2 - 12*m + 35*m wrt m? 4200*m**3 Let x = 272 - 266. What is the derivative of y**2 - 4*y - 35*y + 1076 - x*y - 1001 wrt y? 2*y - 45 Let l(t) be the first derivative of -125*t**6 + t**3 + 74*t - 387. What is the third derivative of l(w) wrt w? -45000*w**2 Let n(b) be the first derivative of 271*b**6/2 + 2*b**3/3 - 421*b - 1469. Find the third derivative of n(x) wrt x. 48780*x**2 Suppose -52 - 32 = -4*l. Suppose 3*u = -3*m + 39, 0 = 3*u + m - 4*m - l. Find the third derivative of -14*v**2 - 10*v**4 + u*v**3 - 10*v**3 + 8*v**2 wrt v. -240*v Let m(w) = -519*w**2 - 3*w + 671. Let a(f) = -170*f**2 - f + 223. Let t(b) = -19*a(b) + 6*m(b). What is the derivative of t(j) wrt
{ "pile_set_name": "DM Mathematics" }
13 Let g = -12 - -6. Let o = -0.911 - -0.611. Which is the second biggest value? (a) g (b) 0.4 (c) o c Let i = -42.264 + -0.736. What is the biggest value in 0, i, 0.4? 0.4 Let b = 0.2 - 0. Let d = -1.2 + b. Let h = 425 + -424.8. What is the second biggest value in d, h, 0.3? h Let y be ((-2)/(-2))/(6/4 - -2). Which is the third smallest value? (a) -0.1 (b) 71 (c) -3/2 (d) y d Let w(f) = f**2 + 17*f - 55. Let h be w(-20). Let j = 182 + -183. What is the smallest value in h, j, -0.4? j Let i = -81 + 78. Let l = -0.019 - 1.971. Let d = -0.01 + l. Which is the second biggest value? (a) d (b) i (c) -1/4 a Let a = -5.7 + 0.7. Let h = 11 + -12.4. Let l = h + 0.4. What is the smallest value in a, -2/9, l? a Let d be (3 + -2)/(-2 + 0)*-2. What is the second smallest value in 9/2, -1/2, 0.3, d? 0.3 Suppose 11*x + 21 + 23 = 0. Let d = 0.8 - 0.3. Let j = d - 0. Which is the third biggest value? (a) j (b) -0.5 (c) x c Let y be (-8 - (1 + -2))*(-14 + 15). Let m be -3 + ((-30)/y - 5/5). What is the second biggest value in 8, m, 1? 1 Let c = -9466/33 + 860/3. What is the second biggest value in 2/9, 7, c, 3/2? 3/2 Let n(g) = 42*g + 374. Let o be n(-9). Which is the fourth smallest value? (a) -5/6 (b) 4/7 (c) o (d) 3/8 b Let x = -3/1492 - 2975/4476. Let k = 1157/7 - 165. What is the third biggest value in -5/6, k, x, -1/6? x Let d = 195/427 - -7/61. Let m(g) = g. Let q(p) = p + 9. Let l be q(-4). Let c be m(l). What is the second biggest value in c, d, 0.3? d Let s = 1 + -4. Let w = 8 + -7.836. Let q = w - 0.064. Which is the third smallest value? (a) q (b) s (c) -1 a Suppose 5*t + 10 + 40 = 0. Which is the third smallest value? (a) 0.5 (b) t (c) 1/8 (d) -1 c Suppose 4*h = 23 + 21. Suppose -5*y + h = -4. Suppose 4*w = -2*k + 4, y*w + w = k + 4. Which is the biggest value? (a) k (b) 0.4 (c) -10 b Let l = -0.1 + 0.4. Let f be (-180)/(-14) + -60 + 46. What is the third smallest value in -5/4, f, l? l Let y be (-640)/(-400)*10/(-28). Let h(j) = j - 11. Let r be h(8). What is the biggest value in -2, r, 3, y? 3 Let d be (1/3)/(-1)*-3. Let m = -0.005 + -1.995. What is the second biggest value in m, d, -10? m Let x = -1005 + 1005.1. Which is the fourth smallest value? (a) x (b) -0.06 (c) 2/5 (d) 4 d Let r = -192 - -192.2. What is the second smallest value in -5/6, -3, r, -3/2? -3/2 Suppose r - 160 + 37 = -5*b, -3*b - 2*r = -71. Let x = 31 - b. Let g be (-2)/30 + x/(-18). What is the third smallest value in 1, g, -2? 1 Let x = 255 - 254.9. Which is the fourth biggest value? (a) -0.3 (b) 1 (c) 4 (d) x a Suppose 5*h + 9 = -3*k, -5*h = -k + 3 + 14. Which is the second smallest value? (a) 1 (b) 13 (c) k c Let i be 10/(-45) + 4534/315. Let x = i - 73/5. Which is the fourth biggest value? (a) 2/7 (b) 0.2 (c) x (d) 0.3 c Let p = -65577/413 - 822/59. Let q = -173 - p. Which is the third smallest value? (a) 0 (b) q (c) -2 a Let h = 2710 - 2715. Which is the smallest value? (a) h (b) 5 (c) 3 (d) 0.04 a Let y = 0.1471 - 0.6471. Let v be (38/20 + -2)/(-1). What is the smallest value in 0.3, 0.2, y, v? y Suppose 53*u - 8 = 57*u. What is the third biggest value in -98, 0, u? -98 Let j = -0.5 - 1.5. Let s = -1609 + 1604. Let w be (-15)/(-4)*2/(-10). Which is the biggest value? (a) w (b) j (c) s a Let k = 41/90 - 1/18. Which is the second smallest value? (a) -2/3 (b) -0.3 (c) 0.5 (d) k b Let l = -0.07 + 0.27. Let f = l + -0.5. Let h be (-2 + 32/18)*-6. What is the second biggest value in h, 0.4, f? 0.4 Let j = 465 - 464.9. What is the smallest value in j, 0.07, -0.3, 0.5? -0.3 Let k = -1 + 0.7. Let y = -158 + 157.5. What is the third smallest value in k, y, 36, -1? k Let x = 2/149 + -308/745. What is the third smallest value in x, -2/15, -4/11? -2/15 Suppose 76*f - 73*f = -9. Which is the fourth smallest value? (a) f (b) 3/5 (c) -10 (d) -1 b Let r = -2.2 + 2.2. Let d = -1.6 + -6.4. Let q = -4 - d. What is the smallest value in q, -0.5, r? -0.5 Let i = 252 + -253. Which is the second biggest value? (a) i (b) -5 (c) 1 (d) -2/19 d Let v = -0.058 - 8.942. What is the biggest value in v, 0, 0.2, 5? 5 Let o = 16 + -15. Let s be 2/4*o*-4. Let t = -2 - -6. What is the third smallest value in -0.1, t, s? t Let x = -17/4 + 4. What is the biggest value in -0.3, -5, x, 28? 28 Let c be -1*(280/32 - 9). Let y = -2/149 + -276/1639. What is the second smallest value in c, y, 4/3? c Let p = 1623 + -335959/207. What is the second biggest value in p, -6/7, -1/4? -1/4 Let x = -1.3 - -0.3. Let o be 25/5*(16/5 - 2). Let k be (1/o)/((-5)/(-30)*-2). What is the smallest value in 0, x, k? x Let x = 0.289 - -2.711. Which is the third smallest value? (a) x (b) 0.1 (c) 0.8 a Let g be -3*(76/(-342))/(16/3). What is the smallest value in -1, 19, g? -1 Let f = -93.08 + 93. Let y = -0.08 - f. Which is the fourth smallest value? (a) 0.1 (b) y (c) -5/6 (d) 3/7 d Suppose -4*y = -2*y - 4. Let g = 17 - 16.93. Let o = 0.07 - g. Which is the third biggest value? (a) y (b) -0.5 (c) o b Let g = 0.1 - 0.3. Let p = -484 + 526.3. Let d = -42 + p. Which is the third smallest value? (a) 0.1 (b) g (c) d c Let s = 93.694 + 0.306. Which is the second smallest value? (a) 3 (b) 4 (c) -1 (d) s a Let q be (-6)/((-24)/(-409)) - 3. Let h = 105 + q. Which is the second biggest value? (a) h (b) 4 (c) -0.4 a Let m be 44/(-10) - 2/45*-9. Which is the second biggest value? (a) 0.3 (b) -13 (c) m (d) -1 d Let x be 5/(-2)*(-24)/30*2. Let z = 92/3 - 31. Which is the biggest value? (a) 2/9 (b) x (c) -5 (d) z b Let l be 1224/611 - 12/6. Let v = -3047/2444 - l. Let d = -272/417 + -2/139. What is the third smallest value in d, 0.2, v? 0.2 Let f be (-5)/(-9) + (11 + -22)/11. Which is the second biggest value? (a) -1/4 (b) f (c) 1 a Let z(f) = -38*f + 74. Let p be z(2). Which is the biggest value? (a) 3 (b) -5 (c) p (d) 0 a Let j(y) be the third derivative of -y**5/60 + y**4/3 + 13*y**3/6 - 7*y**2. Let x be j(9). Which is the second biggest value? (a) -2 (b) x (c) 2 c Let i(h) = h**3 - 3*h**2 - 5*h + 1. Let m be i(4). Suppose 0 = 2*y - 3*y. Let u = m + y. Which is the second biggest value? (a) u (b) -2 (c) 5 b Let h = 4.1 + -4. Let p = 17 + -224/13. Let f = 7/26 - p. Which is the second smallest value? (a) h (b) -3 (c) f a Let u = 16.082 - -0.918. Which is the third biggest value? (a) -2 (b) u (c) 2 a Suppose -5*u = -3*y - 25, 14 - 37 = -4*u + 3*y. Suppose -2*s = -u + 10. Let z = 1184 - 1192. Which is the second biggest value? (a) z (b) s (c) -2 b Let k = -3 + 2. Suppose 4*y - l - 2*l + 7 = 0, -5*l + 31 = 3*y. Suppose -i - 4 = -y*i. Which is the smallest value? (a) 1/6 (b) i (c) k c Let p = 3024/5 - 126653/210. Let k = 4/21 - p. Let l = -1.7 - 2.3. Which is the third biggest value? (a) k (b) l (c) 2/9 b Let q = 336 - 504. Let m = -173 - q. What is the second biggest value in 8/11, m, -3? -3 Let q = -39742/9 + 4416. Let j = 1.8 + -0.7. Let m = -1 + j. What is the biggest value in -0.9, m, q? q Let o = 109.561 - 104.61. Let l = 0.049 + o. Which is the third smallest value? (a) l (b) -5 (c) 0.07 a Let h = -22 + 22.11. Let n = 3.99 - 4. Let b = n + h. What is the smallest value in b, -3, -1/3? -3 Suppose -4*d + 99 = 5*b - 118, 12 = 4*d. Suppose -43 = -q - b. What is the smallest value in q, -7, 4? -7 Let r = -0.104 + 0.224. Let w = r - -0.18. Let v = -1.1 + 0.1. Which is the second biggest value? (a) w (b) v (c) -12 b Let r(a) = -a - 2. Let t be r(3). Let b(s) = 2*s**2 + 14*s + 10. Let l be b(-9). Let k = -224/5 + l. What is the third smallest value in t, k, -0.2? k Let l be 0 + 2/5*1. Let i be 1/(1 + (-6 - 0)). Which is the second smallest value? (a) l (b) i (c) -2 b Let x = -6445/2 - -3221. Let g(v) = -v + 8. Let j be g(8). What is the third biggest value in j, -0.4, x, -34? x Let p = 5564/9 + -618. Which is the fourth biggest value? (a) -5/2 (b) p (c) -0.1 (d) 113 a Let r = -2426 - -2433. Let o be ((-1)/10)/((-4)/10). Which is the third smallest value? (a) 1 (b) o (c) r c Suppose -n - 32 = 3*i, -4*i + 0*i = -2*n + 46. Let v = i - 1. Let g = 14 + v. Which is the third smallest value? (a) 0.2 (b) g (c) 2/17 b Let a = 119 + -122. Let q = 1.2 - 6.2. What is the smallest value in q, a, -0.3? q Let q be (18/(-12))/(1
{ "pile_set_name": "DM Mathematics" }
c**2 - 3*c - 3*c + 1 + 6*c. Let f(p) = 2*p**3 + p - 4. Let s(h) = 4*d(h) + f(h). Let b(v) = 2*v**3 + 5*v**2 + v. What is 4*b(i) - 5*s(i)? -2*i**3 - i Let f be 6/4*4/3. Let q(t) = -6 - t + 5*t - t + f*t. Let i(m) = 4*m - 5. What is -7*i(d) + 6*q(d)? 2*d - 1 Let c(y) = -4*y + 13. Let j(r) = -r - 25. Let t(w) = w + 17. Let d(l) = -5*j(l) - 7*t(l). Give -6*c(k) + 13*d(k). -2*k Let a(x) be the third derivative of x**5/10 + 5*x**3/6 + x**2. Suppose 7 = -i + 2. Let j(z) = -5*z**2 - 4. What is i*j(y) - 4*a(y)? y**2 Let f(l) = 13*l**2 + 13*l - 7. Let s(p) = 6*p**2 + 6*p - 3. Determine -4*f(g) + 9*s(g). 2*g**2 + 2*g + 1 Let s(c) = c**3 - 2*c**2 - 3*c - 3. Let t be s(3). Let h(y) = y - 2. Let r(n) = -n + 2. Determine t*h(u) - 2*r(u). -u + 2 Let u(p) = -123*p**2 + 4*p + 8. Let z(g) = 4675*g**2 - 153*g - 306. Give -153*u(s) - 4*z(s). 119*s**2 Let v(a) = -4*a + 2. Suppose 3*g + 2*d - 8 = 80, -d + 31 = g. Let u = g - 24. Let z(l) = l**3 + 5*l - 3. Determine u*z(w) + 3*v(w). 2*w**3 - 2*w Let u(c) be the first derivative of -c - 1. Let v(i) = -2*i**2 - 2*i - 6. Let a = -5 + 6. Let g be 5*(a/5 - 1). Determine g*u(s) + v(s). -2*s**2 - 2*s - 2 Let m(c) = 23*c**2 - 4*c + 4. Let p(q) = -323*q**2 + 57*q - 57. Calculate 57*m(x) + 4*p(x). 19*x**2 Let c(i) be the third derivative of -i**4/24 - i**3/6 - i**2. Let h(m) = -5*m - 3. Let d be (-4)/(-14) + (4 - (-204)/(-28)). Determine d*c(t) + h(t). -2*t Let i(j) = j**3 - j**2 - 1. Let a(u) = -3*u**3 + 2*u**2 - 8*u + 2. Calculate -a(o) - 2*i(o). o**3 + 8*o Let w(a) = 5*a**2 + 2*a - 2. Let s(l) = -154*l**2 - 63*l + 63. Calculate -2*s(x) - 63*w(x). -7*x**2 Suppose -5*z - 2 = 23. Let l(r) = -7*r**2. Let s(i) = -13*i**2. Determine z*l(n) + 3*s(n). -4*n**2 Suppose -5*q = -7 - 18. Let c = q + -3. Let x(h) = -1 - 2 + c. Let y(t) = -t - 6. Calculate -10*x(n) + 2*y(n). -2*n - 2 Let h(j) = 2*j**2 + 2*j - 2. Let i = -21 + 15. Let n = i - -13. Let f(y) = 3*y**2 + 4*y - 3. Give n*h(r) - 4*f(r). 2*r**2 - 2*r - 2 Let b(n) be the third derivative of -n**4/24 + n**3/6 - 5*n**2. Let l(s) be the first derivative of s**2/2 - 4*s - 4. What is -3*b(m) - l(m)? 2*m + 1 Let a(v) = -6*v**3 + 7*v**2 - 2. Let x(h) be the third derivative of -h**6/24 + h**5/10 - h**3/3 - 48*h**2. What is -4*a(c) + 5*x(c)? -c**3 + 2*c**2 - 2 Let c(f) = -9*f - 2. Let b(u) = -71*u - 17. Determine -6*b(g) + 51*c(g). -33*g Let x(r) = -r**2 + 4*r + 1. Let o(y) = y**2 - 7*y - 3. Give 6*o(m) + 11*x(m). -5*m**2 + 2*m - 7 Let j(z) = 15*z + 14*z - 28*z. Let c(g) = g + 2*g - g. Determine -3*c(b) + 8*j(b). 2*b Let y(t) = 2*t**3 - 4*t**2 - 5*t. Let v(i) = i**2 + i. What is 2*v(c) + y(c)? 2*c**3 - 2*c**2 - 3*c Let m(h) = -h**3 + h**2 + 1. Let a(f) = f**3 + 10*f**2 - f + 2. Give a(c) - 2*m(c). 3*c**3 + 8*c**2 - c Let t(w) = -4*w**2 - 3*w - 5. Let d(l) = 3*l**2 + 2*l + 4. Suppose x = -4*x. Let i be ((-3)/6 + x)*-8. What is i*t(c) + 5*d(c)? -c**2 - 2*c Let m(t) = 736*t + 161. Let b(s) = -23*s - 5. What is -161*b(p) - 5*m(p)? 23*p Let v(f) = 3*f**3 + 5*f**2 + 2*f + 1. Let u(t) = -t**3 + t**2 - t - 1. Determine 2*u(p) + v(p). p**3 + 7*p**2 - 1 Let r(j) = -3*j**2 + 6 + 3*j + j + 6*j**2 - 8*j**3 + 3*j. Let q(c) = 15*c**3 - 5*c**2 - 13*c - 11. Determine 6*q(p) + 11*r(p). 2*p**3 + 3*p**2 - p Let d(k) = 1. Let f(y) = -y + 5. Let h be f(6). Let w(p) = p - 4. Let r = -90 - -86. What is h*w(n) + r*d(n)? -n Let s(h) = -2*h**3 + 2*h. Let y(m) = -2*m - 3*m + 9*m - 3*m. Determine s(l) - 2*y(l). -2*l**3 Let m(h) = -4*h**2 + h - 5. Let b(w) = -w**2. Determine 5*b(s) - m(s). -s**2 - s + 5 Let p(n) = -12*n**2 - 6*n - 4. Let x(k) = -36*k**2 - 17*k - 11. What is -17*p(m) + 6*x(m)? -12*m**2 + 2 Let y(p) = -2*p + 5. Let j be y(5). Let o(x) = x**3 + x**2 - x - 1. Let n(t) = 4*t**3 + 5*t**2 - 5*t - 5. What is j*o(c) + n(c)? -c**3 Let d(q) be the third derivative of q**4/24 + q**2. Suppose 5*k = -0*k + 30. Let g(j) = 1 + 2 - 8*j - 1. What is k*d(a) + g(a)? -2*a + 2 Let b(l) = 4*l**3 - 5*l**2 + 6*l. Suppose 2 - 1 = j. Let x = -11 - -12. Suppose 0*o = -h + 5*o, -o = -x. Let m(p) = -p**3 + p**2 - p. Give h*m(c) + j*b(c). -c**3 + c Let f(p) = -3*p**2 - 5*p - 7. Let y = -8 + 12. Let v(c) be the third derivative of c**5/60 + c**4/12 + c**3/2 + 15*c**2. Determine y*f(w) + 10*v(w). -2*w**2 + 2 Let w(d) = -d - 133 + 133. Let n(z) = z + 1. Calculate 5*n(i) + 6*w(i). -i + 5 Let x(q) = -8*q**2 - 6*q - 17. Let s(t) = -t**2 - t + 1. Calculate 6*s(m) - x(m). 2*m**2 + 23 Let v(k) = -4*k**2 + 3*k - 4. Let g(z) be the third derivative of z**2 + 0 + 3/2*z**3 - 7/24*z**4 + 3/20*z**5 + 0*z. What is -2*g(i) - 5*v(i)? 2*i**2 - i + 2 Let b(k) = -2 - 8*k + 6*k + 4*k + 16*k. Let q(w) = -w + 1. Let i(d) = b(d) + 2*q(d). Let s(p) = 3*p. Let j be (11/(-2))/(1/2). Calculate j*s(l) + 2*i(l). -l Let y be ((-6)/(-4))/(9/12). Let s(d) = 6 - 21 + d - 4*d**2 + 13. Let c(t) = 5*t**2 - 2*t + 3. Give y*c(u) + 3*s(u). -2*u**2 - u Let l(m) = 3*m**2 - 6*m - 2. Let w(c) = -c**2 + c. Give l(y) + 2*w(y). y**2 - 4*y - 2 Let x(q) be the first derivative of -2*q**3/3 - 4*q**2 + 8*q + 10. Let t(h) = -h + 1. Let r(a) = -a - 1. Let k be r(-2). Calculate k*x(n) - 6*t(n). -2*n**2 - 2*n + 2 Suppose 0 = -3*t + 4*t - 6. Let y(a) = -7*a - 2. Let r be 2*1 + -3 + 5. Let f(g) = -5*g + g - r - 11*g. What is t*f(n) - 13*y(n)? n + 2 Suppose -h - 2 = -3*h. Let r(c) = 5*c + h + 4 - 4*c - 4. Let q(i) = -5*i - 4. Calculate -q(f) - 4*r(f). f Let x(g) = -8*g**3 - 9*g**2 - 9*g - 7*g**3 + 4*g**3 + 23*g**3. Let l(z) = -z**3 + z**2 + z. Calculate 9*l(r) + x(r). 3*r**3 Let q(f) = 31*f. Let x(r) = -4031*r. Give 261*q(p) + 2*x(p). 29*p Let c(o) be the third derivative of 7*o**6/120 + o**5/15 + 5*o**4/24 - 7*o**3/6 - 49*o**2. Let a(u) = u**2 - 1 + 2*u**3 - u + 2*u - u**3. Give -5*a(x) + c(x). 2*x**3 - x**2 - 2 Let q(d) = -79*d + 4. Let s(k) = 79*k - 5. Give -4*q(z) - 3*s(z). 79*z - 1 Let q(g) = 7*g**3 + g**2 - 5*g - 5. Let w(y) be the third derivative of -11*y**6/60 - y**5/30 + 2*y**4/3 + 8*y**3/3 + 12*y**2 + 3*y. Determine 16*q(i) + 5*w(i). 2*i**3 + 6*i**2 Let p(h) = -5*h - 74. Let i(n) = -11*n - 147. Determine 3*i(y) - 7*p(y). 2*y + 77 Let y(g) = 4*g**2 + 3*g. Let f(h) = h**2 + h. Let w be -5 - 3/(6/4). Let v = 7 + -4. Let m = v + -1. Give m*y(x) + w*f(x). x**2 - x Suppose -2*t - 2*t + 64 = 0. Suppose -2*a + 4 - t = 0. Let r(z) = 8*z + 7. Let w(y) = -y - 1. What is a*w(s) - r(s)? -2*s - 1 Let n(j) = 5*j**2 - 5*j + 1. Let y(q) = -2*q**2 + 3*q - 1. What is 3*n(l) + 5*y(l)? 5*l**2 - 2 Let a(w) = w**2 + w - 1. Let y(k) be the second derivative of 4*k - 1/2*k**4 - 2/3*k**3 + 3*k**2 + 0. Determine 4*a(h) + y(h). -2*h**2 + 2 Let k(l) = 11*l**2 + 13*l - 13. Let z(h) be the third derivative of h**5/12 + h**4/4 - h**3 + 5*h**2. Let j be (-2 + 8 - 0)*1. Calculate j*k(f) - 13*z(f). f**2 Let q(m) = -2 + m**2 + 2. Let c(j) = 4*j**2 - j + 1. Give 2*c(h) - 7*q(h). h**2 - 2*h + 2 Let y(t) = 2*t**3 + 6*t**2 - 9*t + 13. Let j(v) = v**3 + 3*v**2 - 4*v + 6. What is -13*j(z) + 6*y(z)? -z**3 - 3*z**2 - 2*z Let y(i) = 4*i**2 + 4*i - 2. Let f(o) = 8*o**2 + 8*o - 4. Let b(x) = 2*f(x) - 5*y(x). Let n(r) = -6*r**2 - 6*r + 3. Calculate -8*b(t) + 5*n(t). 2*t**2 + 2*t - 1 Let d(l) = -8*l - 3. Let x(h) = -h. Determine -d(w) + 5*x(w). 3*w + 3 Let j(d) be the first derivative of d**2/2 - 5*d - 2. Let s(y) = 3*y - 14. Suppose -2*u = 2*u + 44. Determine u*j(a) + 4*s(a). a - 1 Let u(j) = -39*j + 5. Let o(h) = h - 1. Give 5*o(w) + u(w). -34*w Let h(d) = 2*d**2 - d. Let n(t) be the third derivative of t**5/30 - t**4/24 + 8*t**2. Determine -7*h(i) + 6*n(i). -2*i**2 + i Let q(c) = 3*c - 4. Let r be 12/14*(-1 - 6). Let h(f) = -1. Calculate r*h(t) + q(t). 3*t + 2 Let h(i) = -2*i**2 - 109 - 2*i + 107 + i. Let d(q) = 9*q**2 + 6*q + 11. Determine 2*d(c) + 11*h(c). -4*c**2 + c Let s(i) = 7*i**2 + 8*i + 5. Let l(t) = -8*t**2 - 9*t - 6. Let q = 3 + 4. Give q*s(y) + 6*l(y). y**2 + 2*y - 1 Let n(o) = o**3 + 4*o**2 + 3*o + 4. Let g(l) = -2*l + 5 + l + 5*l**2 + 5*l + l**3. Give 4*g(c) - 5*n(c). -c**3 + c Let l(w) = -3*w - 3. Let s(d) = 2*d + 2. Let v(b) = 5*l(b) + 8*s(b). Let g(r) = 4*r + 5. Calculate g(t) - 5*v(t). -t Let c(d) = -d**2 - 2*d + 2. Let b(t) = -2*t**2 - 6*t + 7. What is -3*b(z) + 8*c(z)? -2*z**2 + 2*z - 5 Let n(g) = -106*g**3 - 16*g**2 + 16*g + 16. Let h(y) = -21*y**3 - 3*y**2 + 3*y + 3. Determine 16*h(x) - 3*n(x). -
{ "pile_set_name": "DM Mathematics" }
rt(10)/sqrt(2) + 1))**2. 128*sqrt(5) + 1920 Simplify 0 + (-1*sqrt(756))/sqrt(12) + ((3*sqrt(1260))/sqrt(5))**2*-4. -9072 - 3*sqrt(7) Simplify (1*sqrt(38)/((sqrt(80)/sqrt(5))/sqrt(8) + sqrt(2)) + 2 + 0 + -1 + sqrt(931))**2. 15*sqrt(19) + 4279/4 Simplify (-1*((sqrt(171) - (sqrt(171) - 2*sqrt(171)*2))*-5 + (sqrt(171) - (1 + sqrt(171) + -1*sqrt(171) + sqrt(171)))*2 + 0))**2. 240*sqrt(19) + 68404 Simplify -5 + (sqrt(252) - (sqrt(252)*2 + 0) - (4 + (sqrt(252) + -2)**2) - 3*(-1 + sqrt(252) + 3)). -271 Simplify (-6*(5*(sqrt(84) + (sqrt(84) - sqrt(84)*-3) - sqrt(84)) + sqrt(84) + sqrt(84) + sqrt(84))*4)/(sqrt(324)/sqrt(3) + sqrt(768)*-3). 184*sqrt(7)/7 Simplify -3 + sqrt(98) + 1 + 3 + ((5*(-4*sqrt(98) + sqrt(98)))**2 - sqrt(98)) + -3. 22048 Simplify (4*(1 + (sqrt(432) - -3*-1*sqrt(432) - sqrt(432)) - 1*(-1 + sqrt(432))*1)*-4*5)**2. -1228800*sqrt(3) + 44262400 Simplify -5*(1 + sqrt(11)) + 5 + -2 + sqrt(11) - ((-1 + sqrt(275) + (sqrt(275) - (sqrt(275) + -2 + sqrt(275))))**2 + 0). -4*sqrt(11) - 3 Simplify (-4*(sqrt(99) - sqrt(99)*2) - (2 + (sqrt(99) - -4*sqrt(99))) - -1*-4*(-1 + sqrt(99) + 0))**2. -60*sqrt(11) + 2479 Simplify (-2*sqrt(357)/sqrt(7) + 3*sqrt(51)*-2)/(5*sqrt(3)*-2 - sqrt(2352)). 4*sqrt(17)/19 Simplify ((sqrt(2205) + sqrt(2205)*2)*6 - 1*sqrt(2205)*-1)/(-2*sqrt(99)/(sqrt(1331) + (sqrt(1331) - sqrt(1331)*2) + sqrt(1331) + sqrt(1331))). -1463*sqrt(5) Simplify (1*(sqrt(132) - ((sqrt(132) - (sqrt(132) - (sqrt(132) + -1*sqrt(132)))) + sqrt(132)))*-6*-3)/((-2*-1*sqrt(84))/sqrt(7)*6). 0 Simplify (6*(-2 + sqrt(171) + 3) + 0 - -2*(sqrt(171) + 1 + sqrt(171)*-3)*4)**2. -840*sqrt(19) + 17296 Simplify -1 + (4*(-2*sqrt(700))**2 - (sqrt(700) - (0 + (sqrt(700) - (-3 + sqrt(700))**2 - sqrt(700)))))*1. 50*sqrt(7) + 10490 Simplify ((sqrt(440)*-2)/sqrt(8))/(sqrt(44)/sqrt(4)*3) + (-5*sqrt(45)/sqrt(3))/(-3*sqrt(3)*5). -sqrt(5)/3 Simplify ((-4*(2 + sqrt(1216) + -2 + -1 + sqrt(1216))*-6 + 5)*-2)**2. -58368*sqrt(19) + 11208100 Simplify (-4*(-4*-1*(-1 + sqrt(175)) + 6*(-2 + sqrt(175))*-5 + 4))**2. -249600*sqrt(7) + 1950400 Simplify (3*(-5 + (0 + (-5*1*sqrt(40))/((sqrt(20)*-1)/sqrt(10)))*-3))**2. 2700*sqrt(5) + 40725 Simplify (-1 + sqrt(45) - (sqrt(125) + 0 + sqrt(125))) + (-1 + sqrt(125) + 1 - (sqrt(125) + 1 + sqrt(125) + -3))**2. -27*sqrt(5) + 128 Simplify (sqrt(385)/(-6*(sqrt(11) - sqrt(704))))/(2*(sqrt(245) - sqrt(245)*-3)). sqrt(7)/2352 Simplify -1 + ((sqrt(150) - (sqrt(150) + -3*sqrt(150) - sqrt(150)))/sqrt(10) + -2*sqrt(60)/sqrt(4))/((sqrt(3) + sqrt(900)/sqrt(12))*-1). -1 - sqrt(5)/3 Simplify (((sqrt(95)*1*-1 - sqrt(95)) + 5*-1*sqrt(95))/((sqrt(10)*-2 - sqrt(10))/sqrt(2)*4*5))**2. 931/3600 Simplify (sqrt(78)/sqrt(6) + 1 + -6*sqrt(1872) + ((1*sqrt(117) - sqrt(117) - sqrt(117))*-1)/(-2*(sqrt(9)*-2 + sqrt(9))))**2. -141*sqrt(13) + 258457/4 Simplify (((-2*(sqrt(363) - 2*sqrt(363)) + 1*(-1 + sqrt(363) + sqrt(363)))**2 - 3*(sqrt(363)*1 + -1 + sqrt(363))**2) + 4)*-2 + 3. -2905 - 88*sqrt(3) Simplify ((5*(0 + -1*(-1 + sqrt(245)*-2)) + -4)*-2)**2*-1. -98004 - 560*sqrt(5) Simplify 4*-4*(sqrt(343)*1*1 - (0 + sqrt(343) + sqrt(343) + -3) - -1*(-2*sqrt(343) + -2))**2*2. -98816 + 1344*sqrt(7) Simplify -2*((sqrt(102) + (sqrt(102)*-1 + sqrt(102))*-5 + 3*(sqrt(102) + sqrt(102)*2))*6)/(-3*(sqrt(600) + sqrt(600) + -1*sqrt(600))*1). 4*sqrt(17) Simplify (((sqrt(208) - sqrt(208)*-2)*2*6)/(sqrt(8)/sqrt(2)*3 - sqrt(1008)/sqrt(7)))**2. 7488 Simplify (6*(sqrt(119) + 3*sqrt(119)*-3)*6)/(sqrt(7) + sqrt(567)*2 - (-3*sqrt(252) + sqrt(7) - sqrt(7))). -288*sqrt(17)/37 Simplify ((2 + sqrt(76))*1 - ((sqrt(76) + 1 - sqrt(76))*-5 - sqrt(76)) - -3*(-2 + sqrt(76))*5*3)**2. -15604*sqrt(19) + 174773 Simplify (5*(sqrt(3900) + -3*sqrt(3900) + sqrt(3900))*-3)/((sqrt(15)*-3 - sqrt(15))/sqrt(5) - 2*1*sqrt(3)). -25*sqrt(13) Simplify -4*(((sqrt(567)*5 - sqrt(567))**2 + -3)*-1 + (-5*(sqrt(567)*3 + -2))**2). -474424 + 10800*sqrt(7) Simplify (((-2 + -2*sqrt(1700))**2 + 2 - (sqrt(1700) + ((0 + sqrt(1700))*-4)**2 - (-1 + sqrt(1700) + 2)**2)) + -3)*3. -56088 + 270*sqrt(17) Simplify (sqrt(504)*-1*5*-1)/(sqrt(8) + 3*sqrt(8)*5 - sqrt(8) - (sqrt(72)*-4 - sqrt(8))). 15*sqrt(7)/28 Simplify 5*(((sqrt(1900) + -1)*5)**2 - ((sqrt(1900) + 1 + 4)**2 + sqrt(1900))) - 5*((sqrt(1900) + -1*sqrt(1900)*-1)*-1)**2. -3050*sqrt(19) + 190000 Simplify (-2 + (3*sqrt(720) - sqrt(25)/sqrt(5)*4 - ((sqrt(10) - (sqrt(10) - sqrt(40)/sqrt(4)))/sqrt(2) + -1*sqrt(500))))**2. -164*sqrt(5) + 8409 Simplify (((1 + 1 + sqrt(425) - sqrt(425)) + sqrt(425))**2 - (2 + sqrt(425) + 1))*2*5 + 0. 150*sqrt(17) + 4260 Simplify (-1*(sqrt(55) - sqrt(110)/sqrt(2)) + sqrt(55) - sqrt(55))/(sqrt(55)/(sqrt(66)/sqrt(6))) + -3 + -2 + -1. -6 Simplify (3*(sqrt(76) + (sqrt(76) + sqrt(76)*1)*-3 + 2*sqrt(76)*2))/(((sqrt(100) - sqrt(100)*-1*5) + sqrt(100))*2). -3*sqrt(19)/70 Simplify ((6*((0 + -1*sqrt(1053) - sqrt(1053)) + (sqrt(1053) - sqrt(1053)*-1) + 1 + 2 + 0) + 2)*-2)**2. 1600 Simplify (sqrt(1764) + (sqrt(1764) - -4*(sqrt(1764)*4 + sqrt(1764))) + sqrt(1764))/((-6*(sqrt(12) - sqrt(432)) - sqrt(12))*1). 161*sqrt(3)/29 Simplify -2*(0 + 2*sqrt(2448) + 4 + -3 + 5 + -5 + 4)*-3. 30 + 144*sqrt(17) Simplify 3*(-2*sqrt(243) + sqrt(243))**2 + (0 + sqrt(243))*6 - (5*(sqrt(27)/sqrt(36) + (sqrt(3) - (sqrt(9)/sqrt(3) - sqrt(3))) + 5))**2. -321*sqrt(3) - 259/4 Simplify 0 + ((sqrt(15)/sqrt(3) + -1 + sqrt(20)*1)*5)**2 + (sqrt(140)/sqrt(7) - (sqrt(40) - -1*sqrt(40))/sqrt(8))*-4. -150*sqrt(5) + 1150 Simplify ((sqrt(3300) - sqrt(3300)*2 - (2*(sqrt(99)/sqrt(3) + sqrt(33) + sqrt(33)) + sqrt(33)))*-5)/(sqrt(44)/(sqrt(4)*-1) + sqrt(121)/(sqrt(11)*-2)). -170*sqrt(3)/3 Simplify 1*(-3*sqrt(440)*2 + sqrt(440) + sqrt(440) + sqrt(440) + -4*sqrt(440)*-2)/(1*-2*sqrt(40)/sqrt(4)). -5*sqrt(11) Simplify ((-3*sqrt(156))/sqrt(12) - ((sqrt(13) - ((sqrt(13) - -4*sqrt(13)) + sqrt(13))) + -1))*-5 + 3*(sqrt(468) + -1 + -1 + sqrt(1053)). -11 + 35*sqrt(13) Simplify -3*(((0 + sqrt(300) - sqrt(300)) + -4 + sqrt(300))*-1 - ((sqrt(63)*2)/sqrt(7))/(2*sqrt(3)*-6))**2. -3673/4 + 236*sqrt(3) Simplify ((0 + sqrt(175) + 3)**2 - (5 + 1 + sqrt(700))) + (2 + sqrt(7)*-1 - sqrt(7) - sqrt(7) - sqrt(112))**2 + ((6*(sqrt(77)*1 - sqrt(77)))/sqrt(11))**2. -8*sqrt(7) + 525 Simplify (0 + ((4*(sqrt(60)/sqrt(3) - sqrt(20)))/((-1*sqrt(110) - sqrt(110))/sqrt(11)))**2 + 2)*3. 6 Simplify -6*((-3*(sqrt(24) - 1*sqrt(24)))/(sqrt(128)/sqrt(4)) + (sqrt(24) + -3*sqrt(72)/sqrt(3))/((sqrt(40)*-2)/sqrt(5) + sqrt(8))). -12*sqrt(3) Simplify 0 + 4 + ((sqrt(171)*-4*5 + -3 + sqrt(171)*-2)*1)**2 + 2. 396*sqrt(19) + 82779 Simplify (sqrt(117)*4*5 + sqrt(117) + -3*sqrt(117)*-3)/(sqrt(900)*4 - (3*sqrt(27)/sqrt(3) - sqrt(9))). 15*sqrt(13)/19 Simplify (2 + (sqrt(24)/(1*sqrt(648)) - (-2 + -1 + sqrt(3) + 1)))**2*-2. -992/27 + 128*sqrt(3)/9 Simplify ((sqrt(150) - sqrt(150)*3)/sqrt(5) - sqrt(30))/sqrt(10) + -3 + 2*((sqrt(33) - sqrt(66)/sqrt(2))/sqrt(11) + sqrt(12)/sqrt(16)) + -4. -7 - 2*sqrt(3) Simplify -6*((sqrt(1872) + 1 + 2)**2 - (sqrt(78) - (sqrt(78) + 2*1*sqrt(78) - sqrt(78)))/sqrt(6)). -11286 - 438*sqrt(13) Simplify 5*(sqrt(210)/sqrt(7)*1)/sqrt(6) + 3 + (sqrt(45) + 2 - (sqrt(275)/sqrt(5))/sqrt(11)). 5 + 7*sqrt(5) Simplify 6*2*(2*(-1 + sqrt(432) + (sqrt(432) - -2*sqrt(432)) - (2*sqrt(432) - sqrt(432))*4)*2)**2. 192 Simplify 4*(-3*2*sqrt(121) + -6*-1*sqrt(121))/((sqrt(11) + sqrt(539))*5*-5). 0 Simplify (((sqrt(704) - (sqrt(704) + (sqrt(704) + -1 - sqrt(704))))*-5 - (1 + sqrt(704) + 3 + sqrt(704) + sqrt(704))) + -4*(0 + -1*sqrt(275))*-1)**2. 792*sqrt(11) + 21377 Simplify ((5*-5*(sqrt(77) - sqrt(77)*4))/(sqrt(1331)*2 - (sqrt(11) + (3*sqrt(176) - sqrt(176)))))**2. 39375/169 Simplify (-1*sqrt(637)*4*-1 - (3 + (-3*sqrt(91)*-3 - sqrt(91))/sqrt(7)))**2. -120*sqrt(13) + 5209 Simplify -6*(sqrt(162)*-1*-2 + 0 + -5 + -4 + 5*(sqrt(162) + 2)*-6)**2. -790614 - 208656*sqrt(2) Simplify (1*(5*(sqrt(170) - sqrt(170)*2) + sqrt(170))*-3)/((sqrt(1210) + sqrt(1210)*-1 - -1*sqrt(640))*-3). -sqrt(17)/2 Simplify (-2*((-1 + sqrt(1573) + 3 + sqrt(1573) + (sqrt(1573) + 1)*1 - (3 + sqrt(1573) + 1 + -4)) + -4))**2. -176*sqrt(13) + 25172 Simplify ((-1*(sqrt(104) + (sqrt(104) - (sqrt(104) - (sqrt(104) + sqrt(104) + sqrt(104)*-1))) + sqrt(104)))/((sqrt(44)/sqrt(2))/sqrt(11)))/(-1*sqrt(64)*2*5). 3*sqrt(13)/40 Simplify (-4 + sqrt(1300)*-3 - ((sqrt(1300) + 0 + sqrt(1300))*1)**2) + (((sqrt(572)*1
{ "pile_set_name": "DM Mathematics" }
est value in 3/2, -5, 1/4, 6/7, -136? 1/4 What is the fifth smallest value in 2/3, -3, -0.8, 2, 6? 6 Which is the biggest value? (a) -4 (b) 0 (c) 0.2 (d) 0.5 (e) 6.1 e Which is the third smallest value? (a) 3/10 (b) 2 (c) -0.5 (d) 3 b Which is the fourth smallest value? (a) 0.1 (b) -10/9 (c) -2 (d) -3 a Which is the smallest value? (a) 2/15 (b) -2 (c) -13/2 (d) -2/11 c What is the fourth biggest value in -9, 0, -2/59, 5, 0.5? -2/59 Which is the second biggest value? (a) 7 (b) -2 (c) 2 (d) -1 (e) 1 c What is the smallest value in -0.43, -7, 7? -7 What is the smallest value in -8, 2, 3/8? -8 Which is the fourth biggest value? (a) 5/2 (b) 5 (c) 2 (d) -5 d What is the fourth biggest value in 0.3, 4, -1/2, 5/3? -1/2 Which is the third smallest value? (a) -0.13 (b) 3 (c) 6 c What is the biggest value in -5, -3, -0.158? -0.158 What is the second biggest value in -5, 0.3, 1139? 0.3 Which is the biggest value? (a) 1/2 (b) -283 (c) -0.2 a What is the biggest value in -25, -3/2, 2/11? 2/11 What is the third smallest value in 5/3, -10.4, 0.2, -0.7, -3/2? -0.7 Which is the fifth smallest value? (a) 6 (b) -10 (c) 0 (d) -1/5 (e) 2 a Which is the fourth smallest value? (a) 53 (b) 1/5 (c) -0.2 (d) 0 a What is the third biggest value in 0.5, -17/46, -0.5? -0.5 Which is the biggest value? (a) -0.019 (b) 3 (c) -0.5 b Which is the second biggest value? (a) -1/8 (b) -5 (c) 1/9 a Which is the second smallest value? (a) -0.5 (b) -2 (c) -3/5 (d) -0.3 c Which is the second biggest value? (a) 2/11 (b) 0.4 (c) 2/15 (d) 3 (e) 90 d Which is the second smallest value? (a) 0 (b) -2/5 (c) 0.5 a Which is the fourth smallest value? (a) -1 (b) 3/2 (c) -0.2 (d) 8 (e) -5 b What is the third smallest value in -6, 2, 3? 3 Which is the third biggest value? (a) -0.2 (b) 0.7 (c) 5 (d) -2 a What is the third smallest value in 1/15, -1, 5, 4? 4 Which is the second biggest value? (a) 67/3 (b) -2/5 (c) 0 c What is the smallest value in -2/15, -4, -7? -7 What is the third smallest value in -14, -3, -1, 4? -1 What is the fourth biggest value in -37, 1, 5, -4/7, -1/2? -4/7 What is the third smallest value in -4, -88, 14? 14 Which is the biggest value? (a) -1 (b) 3 (c) -0.1 (d) 1/7 (e) 17 e What is the smallest value in 0.4, 25, -1/21? -1/21 Which is the second smallest value? (a) -1 (b) -1.57 (c) -4/5 a What is the third smallest value in 1/2, 15, 2/3, -1/2? 2/3 Which is the fourth smallest value? (a) -9 (b) -1/5 (c) 0.4 (d) 137/2 d What is the biggest value in 8, 4/5, -0.31, -1/5? 8 What is the fourth biggest value in -5, -0.3, -0.1, -0.58? -5 What is the smallest value in -3/2, -0.4, 118, 3? -3/2 What is the second smallest value in 0.3, 0.1, -0.05842? 0.1 What is the third smallest value in -1.2, 3, 2/5, -0.06, -5? -0.06 Which is the third biggest value? (a) 10 (b) 2/57 (c) -0.06 (d) -1 c Which is the biggest value? (a) 2.6 (b) 0.3 (c) 5 (d) -2 c What is the second biggest value in -1/4, 3/4, -6, -0.2, 2/5? 2/5 Which is the second biggest value? (a) -760 (b) 1 (c) -4 c Which is the biggest value? (a) 0.4 (b) -0.3 (c) -17 a Which is the third smallest value? (a) -2 (b) 286 (c) 0.3 b Which is the fourth biggest value? (a) -3 (b) 0.3 (c) 4/3 (d) 1 a Which is the biggest value? (a) -5 (b) 2 (c) 5 (d) -14 c What is the third smallest value in -0.3, 5/6, 4/3, 0.18? 5/6 What is the smallest value in -0.25, -6, -2? -6 What is the fourth biggest value in -7, -2/15, 4/5, -0.2? -7 What is the fourth biggest value in 0.5, 0.1, 2/25, -3? -3 What is the second smallest value in 2/19, 5, 2, -0.07? 2/19 Which is the third biggest value? (a) -5 (b) -23 (c) 0.5 b What is the third smallest value in -5/3, -26/3, -9? -5/3 What is the second biggest value in -1/3, -3, -6, -4, 68? -1/3 Which is the third smallest value? (a) -1.9 (b) -5 (c) 0.3 c Which is the smallest value? (a) 1/10 (b) -0.34 (c) -5/3 c What is the biggest value in 2/3, -1/13, -4, -5/4? 2/3 What is the second smallest value in 1, -12, -1/2? -1/2 What is the third smallest value in -0.1, 0.1, 3, -0.0193? 0.1 What is the biggest value in -68, 2/11, 1, 7, 2/7? 7 What is the second biggest value in -0.05, -2, -4, 5? -0.05 What is the second biggest value in -1, 141, -0.3, 2, 0? 2 What is the smallest value in 1/12, 1, 5, -1/5? -1/5 What is the third smallest value in 2, 1.61, -2/13, 1/2? 1.61 What is the third biggest value in 264, -0.07, -3, 1/8? -0.07 Which is the smallest value? (a) -5 (b) -0.4 (c) 1 a Which is the fifth biggest value? (a) -1/3 (b) -1/4 (c) 28 (d) -1 (e) 3/14 d Which is the smallest value? (a) -3.3 (b) -4/3 (c) 2 (d) -3 (e) 0.3 a Which is the second smallest value? (a) -6 (b) 8 (c) -1/7 (d) -0.4 d What is the second biggest value in -54/11, 3, 1? 1 What is the biggest value in -12, 0.017, 0.06? 0.06 Which is the second smallest value? (a) -7/17 (b) -20 (c) 0.3 (d) 1/10 a What is the third biggest value in 1/2, -5, 0.3? -5 What is the third smallest value in 8, 1, -0.03, 14/5, 0.2? 1 Which is the smallest value? (a) 3/7 (b) -3 (c) 13 (d) -0.5 b What is the fourth smallest value in -2/5, 0.4, -1/73, 2? 2 What is the third smallest value in 4, 2/3, -0.57? 4 Which is the biggest value? (a) -0.4 (b) 1 (c) -0.6 (d) -2.2 b Which is the second biggest value? (a) -0.014 (b) 1/5 (c) 2/9 (d) -0.2 b Which is the smallest value? (a) 0.4 (b) 3 (c) 1 (d) 2 a Which is the second biggest value? (a) 0 (b) -6 (c) -1 (d) 1/6 a What is the third biggest value in -2/5, -2705, -3/8, -4? -4 What is the fourth smallest value in 5, 86, -3, -3/11? 86 What is the smallest value in 5, -3/5, 3/4, 0? -3/5 Which is the fourth smallest value? (a) 1/2 (b) -3 (c) -159 (d) -3/7 a Which is the second biggest value? (a) -1.1 (b) 1 (c) 0.3 (d) -3 c Which is the third smallest value? (a) -20 (b) 0.2 (c) 5 c Which is the fourth smallest value? (a) -2 (b) 8 (c) -2/13 (d) 0.1 (e) -0.073 d What is the second smallest value in 12/11, -5, 4, -12? -5 What is the smallest value in 0, -9, -2/15? -9 Which is the second biggest value? (a) 5/3 (b) 0.1 (c) -21 b What is the biggest value in -29.3, 4/5, 1/3? 4/5 What is the second smallest value in -0.033, -3, 0.4, 0, 8? -0.033 Which is the biggest value? (a) -4/3 (b) -2 (c) -3 (d) 2/23 (e) -3/5 d What is the biggest value in 1.3, -3, -7/5? 1.3 What is the third smallest value in 1, 9, 0.3? 9 Which is the third smallest value? (a) 0 (b) -3/8 (c) 5 c What is the fifth smallest value in 7, 1.6, 1/2, 0.2, 0.1? 7 What is the biggest value in -2, 27, 5? 27 Which is the second smallest value? (a) 0 (b) -5 (c) -5/2 c Which is the smallest value? (a) -1 (b) -3 (c) 511 b What is the third smallest value in 0.1, -43, 1/2, -0.3? 0.1 Which is the fourth smallest value? (a) 2/15 (b) -4 (c) 132 (d) 0.5 c What is the fourth biggest value in -2, 5, -5, 16, -5/3? -2 Which is the second smallest value? (a) 2/9 (b) -138 (c) 1/3 a Which is the biggest value? (a) -8 (b) 34 (c) -1/2 b Which is the fourth biggest value? (a) 4 (b) -0.4 (c) -5 (d) 14 c Which is the second biggest value? (a) 0.3 (b) -228 (c) 0.4 a What is the biggest value in 9, 1.1, -0.2? 9 What is the second biggest value in 1, 26, -119? 1 What is the third biggest value in -0.1, 2/11, 0.9, -6? -0.1 What is the fourth biggest value in 2/15, 1, 6, -4? -4 What is the third biggest value in 7/67, 19, 0.4? 7/67 Which is the fourth biggest value? (a) 5/3 (b) -4 (c) -318 (d) -2/9 c What is the second biggest value in 27, 0.24, 0.3? 0.3 What is the fourth smallest value in -2/7, -26, 4, -28, 0.5? 0.5 Which is the third biggest value? (a) 0.2 (b) 5 (c) -1/12 c What is the fourth biggest value in -17, -1/4, -0.07, -3/7, -3/4? -3/4 What is the fourth smallest value in 0.017, -3, -1, 1? 1 Which is the second biggest value? (a) -2/9 (b) -0.03 (c) 0.2 (d) -42.1 (e) 1 c What is the biggest value in -0.4, 2, 8, -1, -2/3? 8 Which is the second smallest value? (a) -0.3 (b) -6/11 (c) -1/4 (d) 80 a Which is the biggest value? (a) -0.1 (b) -3 (c) 190 c What is the biggest value in 3/4, -2/281, 5/3? 5/3 What is the second biggest value in -2/7, 0.03, -5, -3/2, -0.5? -2/7 What is th
{ "pile_set_name": "DM Mathematics" }
nd h(-5). 154 Let z = -345308/61 + 5661. Let t = z + 1055/488. Find the common denominator of t and -22. 8 Let q = 11 + 19. Suppose -q = 4*m + m + 5*v, -5*m + v - 12 = 0. What is the common denominator of 14/11 and (-3 - m) + 58/(-7)? 77 Suppose -3*r - 5*j + 75 = r, -4*j - 70 = -2*r. Suppose -4*z = -65 + r. Calculate the smallest common multiple of 4 and z. 20 Suppose -40 = 17*m - 21*m. Let p = -10 - -20. What is the lowest common multiple of m and p? 10 Let q be (-2)/8 + (-14822)/8. Let z = 16612/9 + q. Calculate the common denominator of z and -67/9. 9 Let k = 4431 + -70919/16. What is the common denominator of -3/22 and k? 176 Let q = 0 + 0. Let r be q*(-2 + 4 + -1). Suppose -2*f + f + 22 = r. Calculate the least common multiple of f and 4. 44 Let v = -3403 - -51079/15. Find the common denominator of v and 35. 15 Suppose 3*j - 5*j + 56 = 3*d, 4*j - 90 = -5*d. Suppose 0 = -5*w - 2*x + d, 2*x - 7*x + 25 = 5*w. What is the lowest common multiple of w and 8? 8 Suppose 6*u - 2*u - 4 = 0, 17 = m + u. Suppose 50 = -3*j + 7*j - 2*f, -35 = -j + 5*f. What is the smallest common multiple of j and m? 80 Let p(w) = 2*w - 4. Let g be p(5). Let z be ((-524)/2)/(2/g). Calculate the common denominator of z/(-165) - (-2)/(-5) and -41/8. 88 Let t = 5 - 4. Let d = 14 - t. Suppose 2*w - 43 = -4*n - w, 0 = -n - 3*w + d. What is the least common multiple of n and 16? 80 Suppose 992 + 589 = 17*f. Calculate the least common multiple of f and 6. 186 Suppose 4*s - 203 - 141 = 0. Suppose l = -2*a + s, 5*a - 39 - 189 = 4*l. Calculate the lowest common multiple of (a/(-5))/(2/(-5)) and 2. 22 Let x = -36 - -56. Let y(b) = b + 4. What is the smallest common multiple of x and y(4)? 40 Let g(i) = -i - 2. Let d be g(-1). Let q = d + 15. Calculate the lowest common multiple of q and 10. 70 Let t = 187060/103383 + 2/14769. Find the common denominator of t and -20/3. 21 Let l = 10191/2056 + -21/257. Calculate the common denominator of ((-45)/(-24))/((-1)/(-4)) and l. 8 Let o be -3 + (-6)/(-1) - -3. Suppose -m = 3*x - 12, 0 = -3*x + 3*m + 2*m - o. Calculate the least common multiple of 4 and x. 12 Suppose -5*r - 24 = -2*r. Find the common denominator of 1/(-4) + 57/r and (-1538)/252 - (-6)/(-21). 72 Let r = 12054450 + -216605729/18. Let a = -20806 + r. Calculate the common denominator of a and 11/18. 18 Let w = -1/266050365 + -1008951666281/333627157710. Let y = w - -43/171. Calculate the common denominator of 121/6 and y. 66 Let g = -8832 + 123581/14. Calculate the common denominator of g and (4/(-6))/((-44)/(-309)). 154 Suppose 0 = -2*s - 1 - 1. Calculate the lowest common multiple of 6 and 14 - s/(3/(-6)). 12 Let i be 0 + 2 + -3 + 0. Let f = i + 4. Calculate the smallest common multiple of 6 and f. 6 Suppose 1 = -a, 0*a + 31 = -4*d + 5*a. Let l be 77/63 + 2/d. What is the common denominator of (-73)/l*7/(-14) and -43/20? 20 What is the smallest common multiple of 12 and 16 + 16 + (-3)/((-3)/4)? 36 Let d = 5056 + -91147/18. Calculate the common denominator of d and 11/6. 18 Let k = 13 - 8. What is the lowest common multiple of k and 10? 10 Let x = 36 + -22. Let a = -62 - -117. Let u = a - 35. Calculate the least common multiple of u and x. 140 Let g = -7 - -5. Calculate the smallest common multiple of 2/((1 - 2)*g) and (-1)/(-4) + (-14)/(-8). 2 Let x(a) be the third derivative of a**6/120 + a**5/4 + 13*a**4/24 - 13*a**3/6 + 9*a**2. Calculate the lowest common multiple of (1 - -11)*(-3)/(-6) and x(-14). 6 Let m = 0 - -9. Suppose 4*t - m = -1. Suppose -4*s = -5*r - 23, -4 = -s + 5*r - t*r. What is the lowest common multiple of 3 and s? 21 Let y = -1722/19 + 12313/152. Calculate the common denominator of ((-50)/18)/((-4)/6) and y. 24 Let q = -4859 + 22972/5. Let u = q - -266. What is the common denominator of 93/2 and u? 10 Let u = -8 - -14. What is the common denominator of ((-1)/u)/(1/25) and 101/4? 12 Find the common denominator of 0 and 11*2/18 + 1. 9 Let d(y) = -y**3 - 4*y + 2. Let r = 1 + -6. Let j be d(r). What is the common denominator of -34/9 and 2/(-3*(-12)/j)? 18 Suppose 0 = 2*d - 21 + 1. What is the lowest common multiple of 54 and d? 270 Suppose -3*i + 6 = -0. Suppose i*s + 12 = 3*s. Suppose 0*v = 2*v - s. What is the smallest common multiple of 4 and v? 12 Suppose -5*d + 20 = 3*r, 2*d = 4*r - 3*r - 3. Suppose 0*t = -r*j + t, 2*j = -4*t. Find the common denominator of (j - (-7)/(-4))/(-2) and 103/20. 40 Let y = 30285277/1160 - 26108. Let g = y + 9399/1160. Find the common denominator of g and -10. 10 Let k = -76 + 40. Let g be k/13*3/(-78). Let j = -2557/3380 + g. Calculate the common denominator of 119/18 and j. 180 Suppose -12*p + 132 = -0*p. Calculate the least common multiple of p and 1. 11 Let h = -592 + 2401/4. Calculate the common denominator of h and 41/42. 84 Suppose 3*l + 2*g - 122 = 0, 0 = 5*l - 2*g + g - 225. What is the common denominator of l/18 + 1/(-1) and -53/10? 90 Let t = -16512/161 + 1869381/17710. Let q = t - 46/35. Calculate the common denominator of 441/24*4/12 and q. 88 Let n = -512901/40 - -12820. Find the common denominator of -23/44 and n. 440 Let v be 30*-4*2/20. Let c be (27/v)/((-2)/24). Suppose j = -c - 9. What is the common denominator of 109/10 and j? 10 Suppose -5*b = -16 + 6. Suppose -4*m - b*d + 60 = 0, 2*m + 5*d - 11 - 11 = 0. Calculate the least common multiple of 16 and m. 16 Suppose -3*b = 11 - 65. What is the smallest common multiple of 30 and b? 90 Suppose 0*z = -3*z + 6. Let w = -87 - -60. Let g = -19 - w. What is the lowest common multiple of z and g? 8 Let j(s) = -s**2 - 8*s + 4. Suppose -4*n + 10 = 38. Let r = -3 - -9. What is the lowest common multiple of r and j(n)? 66 Let t = -8/5 - -106/35. What is the common denominator of t and 42/11? 77 Suppose -3*b + 4*y = -y + 22, 0 = b + 4*y + 13. What is the least common multiple of 5 + 4 - b/(-3) and 16? 48 Let w be ((-2)/6)/((-4)/(-36)). Let n = w - -13. What is the smallest common multiple of 6 and n? 30 Let m(t) = -4*t**3 + t**2 - 3*t + 1. Let p be m(3). Let g = p - -1160/11. Find the common denominator of g and -16/11. 11 Let t = 5/88 - -479/88. Let x = -4380 + 34991/8. Find the common denominator of t and x. 8 Find the common denominator of -1 - 131/6*-1 and (3 - (-14)/4) + -2. 6 Let i = 1343 + -12046/9. Calculate the common denominator of i and 194/(-16) - (-5 + 3). 72 Let b be 274/((-20)/(-8) + -2). Calculate the common denominator of -81/2 and (3 - b/144)*15. 12 Let x = -27969/10 - -2801. Find the common denominator of -23/11 and x. 110 Let y(s) = s**3 - 7*s**2 + 11. Calculate the least common multiple of y(7) and 8. 88 What is the smallest common multiple of ((-10)/(-50))/((-1)/(-25)) and 6? 30 Let l(x) = -x**3 - 6*x**2 - 5*x + 6. Let g(s) = -s**2 - 17*s + 2. Calculate the least common multiple of g(-16) and l(-5). 18 Let x(b) = -b**2 + 8*b - 3. Let i(m) = 7*m**2 + m. Let z be i(-1). Let l = z + -1. What is the smallest common multiple of x(l) and 12? 12 Let t(z) = -4*z - 24. Let o(c) = c**3 - 5*c**2 + 6*c. What is the smallest common multiple of o(4) and t(-8)? 8 Let u = 4 - 2. Suppose u*h + 3 = 43. Let m(o) = 2*o**2. What is the least common multiple of m(3) and h? 180 Calculate the common denominator of (-4)/10*(-90)/(-24) and -125/12. 12 Let l(i) = 2*i**3 + 3*i. Let o be l(4). What is the common denominator of 3/(-15) - (-818)/o and 107/22? 154 Let u(x) = -x**2 - 14*x + 14. Let v = 40 - 13. Calculate the smallest common multiple of u(-14) and 588/v - (-6)/27. 154 Suppose 25 = 2*g + 4*s - s, -15 = 2*g - 5*s. Let t(y) = -1 - 16*y - y**2 + 3*y**2 + 9*y. Calculate the smallest common multiple of 6 and t(g). 42 Let w = -11 - -8. Calculate the common denominator of 11/7 and (w/2)/(22/24). 77 Let d be 16/(-12)*(-3)/2. Suppose d*f - 12 = -3*l, 2*f + 3 = 5*l - 1. Calculate the least common multiple of 9 and l. 18 Let h(r) = 2*r - 6. Let a be h(4). Let f = -13150 - -236809/18. Find the common denominator of f and (a - 1) + (-7)/20. 180 Let l = 713 - 3006. Let n = -9221/4 - l. Find the common denominator of n and (3/2)/(20/62). 20 Let d = 5 - -11. Let t(b) = 5*b**2 - b. What is the least common multiple of d and t(1)? 16 Let t(i) = -i**3 + 8*i**2 - 2*i + 4. Let n be t(7). Suppose -n = -3*p - j, 2*p = 9*j - 4*j + 43. What is the lowest common multiple of p and 16? 112 L
{ "pile_set_name": "DM Mathematics" }
h*i - 3*c - 293 = 0. Let u = i - 58. Solve -3*v - 6 = u, -5*v + 9 = 4*o + 39 for o. -5 Let u be 51/9 + ((-1)/(-2))/(12/8). Solve 5*l = -5, 2*p - u*l + 5*l = -9 for p. -5 Let g be (-56)/(-21)*(-15)/(-2). Suppose 10*w = g*w - 100. Solve -x - 1 = -2*j - 11, 0 = -2*j - 4*x + w for j. -3 Let o(l) = -3*l + 25. Suppose -2*c = 2 - 12. Let u be o(c). Solve -5*x + 2*h + 16 = -10, 0 = x - 2*h - u for x. 4 Suppose 4365*w = 4369*w - 100. Solve -10 = m + 3*q, w*m + 4*q + 10 = 27*m for m. -1 Let u(f) = -19*f + 88. Let r be u(3). Let h = -29 + r. Solve -2*j = 5*y + h*j + 21, -18 = 2*y + 4*j for y. -1 Let z(h) = h**2 + h. Suppose -26 = x - 14. Let j = -15 - x. Let y be z(j). Solve -r + 2*g = 8 - 0, -3*r = 3*g + y for r. -4 Let u = 7 + 10. Let k(p) be the third derivative of -p**4/24 + 19*p**3/6 + 30*p**2. Let y be k(u). Solve 6 = -y*r - 4*i, 5*i + 15 = 5*r - 0*i for r. 1 Suppose -a - 16 = -18. Suppose -a = -w - 3, 5*j - 8 = -2*w. Let n be 6 - 2/j - 0. Solve g + 21 = n*o, -g + 4*o - 15 = -2*g for g. -1 Let s(i) = -242*i - 2160. Let n be s(-9). Solve l + 3*h + 2*h - n = 0, -3*h = -3*l for l. 3 Let a(p) = -p**3 + 18*p**2 - 12*p - 43. Let q be a(17). Let j be (-26)/(-78) - q/(-9). Solve -4*g + 3*g = 2*m - 11, -j*g + 27 = 3*m for m. 4 Suppose -2*l + 23 = 3*g, -3*l + 2*g + 33 = 6*g. Suppose -3*x + 12 = 2*p, -x = -4*p + 3 + l. Solve -2*i + 4 = x*n, 2*n + 16 = 6*n - 4*i for n. 3 Let s(q) = -q**2 + 6*q - 2. Let l(d) = d**2 - 6*d + 11. Let t be l(4). Let z be s(t). Solve -u = 3*f - 18, -2*u + z*f - 3*f - 14 = 0 for u. 3 Let m = -106 + 109. Suppose 4*p = -3*w + 13, 0 = m*p + 6*w - 8*w - 14. Solve -y - 1 = y - 3*g, -2 = -y + p*g for y. -2 Let b(o) = -2*o**2 - 16*o + 309. Let k be b(9). Let x be (-1)/(1/32*-2). Solve -5*c + 2*c + 10 = 5*z, z + x = k*c for z. -1 Let v = -2288 + 2296. Suppose 6*f + 6 = 3*f. Let o = v + f. Solve -3*w + 0*z + 5*z = o, -2*w - 4*z + 18 = 0 for w. 3 Let k be (7 - 8 - 1)*1/(-2). Suppose 16 = 5*l + k. Solve 3*z - 5 = -l*o + 4, 2*o - 1 = -z for z. 5 Suppose -5*t + 26 + 149 = 0. Let h(b) = 30*b + 21. Let w be h(0). Let j be (w/t)/((-1)/(-5)). Solve -j*l - 2*l + 5*d = 0, 12 = -5*l + d for l. -3 Suppose 0 = 2*r - 37 + 35. Let k be -5 - (-4 - r) - 33. Let n = k - -38. Solve n*m = 5*q - 25, m + 2*m - 9 = -5*q for m. -2 Let i be (-3)/(-12)*6*76. Suppose 15*g + 9 = i. Solve 5*p - 3*u = -17, -4*p - g = -5*u + 4 for p. -4 Let k(l) = l**3 + 6*l**2 - 93*l + 41. Let d be k(7). Solve -3*p - 2*y + 6 = 0, p + d = -2*y + 25 for p. 4 Suppose 3583 = -10*b + 3583. Solve 4*y + b = -3*u + 16, 3*u = 5*y - 20 for u. 0 Suppose 828 = 26*w + 672. Solve -5*i + w*a - 11*a + 35 = 0, -13 = i - 3*a for i. 2 Suppose -2*a + 4*q + 856 = 0, -q = 16*a - 13*a - 1249. Let f = 422 - a. Solve -2*s + 17 = f*o - 5, -21 = -3*o - 3*s for o. 4 Let c = 6604 + -6600. Solve 0 = c*z - 3*z - 2, 5*o + z - 22 = 0 for o. 4 Suppose -2*s = s - 6. Let k = -10084 - -10088. Solve k*x - s = -22, g + 2*x + 15 = 0 for g. -5 Let g = 99 + -99. Let z be ((-9)/6)/(2/(-20)). Suppose -z = -2*h + 5*v, -4*h + 57 = -0*h - v. Solve -c + 10 = -g*a + a, -2*c + 5*a = h for c. 5 Suppose r + 9*r - 8 = 32. Solve 2*l - 19 = 3*z, r*l - 3*z + 5*z = -2 for l. 2 Let w be 100/250 - 53/(-5) - (-1 + 9). Solve w*r = s - 16, 8 = -2*s + s - 3*r for s. 4 Let a be ((-20)/6)/((-2)/3). Suppose a + 1 = 2*i, 0 = 4*n - 2*i - 10. Suppose 9 = -n*u + 53. Solve -5*v - 2*c - 2 = -v, 0 = 2*v + 5*c - u for v. -2 Let z(p) = p**2 - 2*p - 97. Let v be z(11). Solve d - 3*d = 3*i, -v*i = -3*d + 26 for i. -4 Let i(t) = 3*t - 43. Let q be i(15). Suppose -264 = -52*r + 8*r. Let c be 0 + (1 - 0) - 1. Solve 0 = q*k + 2*z - r, 3*k + c*k + z = 13 for k. 5 Let p(k) = k**2 + 9*k + 14. Let d be p(-7). Suppose 2*r - 11 = w - 5, d = 4*r - 5*w - 12. Solve r*b - v = 1, v = 5*b + 1 - 0 for b. -1 Let i(k) = 2*k + 10. Let s be i(-3). Suppose -s*y + 5*p + 3 = -0*y, 5*y = -3*p + 13. Suppose -y*h + 10 = 3*h. Solve 5*b = 3*b + 4*w - 14, 0 = b + h*w - 9 for b. 1 Let g(d) = 10*d**2 + 5*d**2 + 3 - 26*d**2 + 6*d + 9*d**2 - 1. Let y be g(0). Solve y*c + 19 = -3*b, 3*b - 6 - 5 = 4*c for c. -5 Let f be 4 - -551 - (-8 - (-4 + 0)). Let n = 562 - f. Solve n = 3*c + 3*h - 3, 0 = 4*c + 3*h - 11 for c. 5 Suppose -2388 = 42*f - 48*f. Suppose 15*g + 68 = f. Solve 0 = -2*r - 5*n - g, 2*r - 4*n - 2 = -3*n for r. -1 Suppose -c - 5 = 8. Let x = c - -16. Let j be ((-4)/10)/(3/(-90)). Solve -2*b = 2*b + 2*o + j, 3*o + 9 = -x*b for b. -3 Suppose -92*w = -37*w - 165. Solve -2*q - 2*u + 3 + w = 0, 0 = -4*q + 2*u - 18 for q. -2 Let k be (-65)/(-13) - (-1 + 4 + -1). Suppose 2*v = -4*n + 44, 4*n + k*v = 7*v + 44. Solve -1 = 4*l + 5*w, -w + 5 = -5*l + n for l. 1 Suppose 0 = -2*w + 4*g + 28, -5*w - 4*g + 55 = g. Suppose 2*q = 4, 3*n + 2*q + 2 = w. Let j be (-154)/33*(-30)/14. Solve n*t + 4*m = -j, t - m - 11 = m for t. 3 Suppose -4*g + 25 = -4*y + 1, 3 = -4*g - 5*y. Solve a + g*a = 4*s + 4, -8 = 4*s for a. -1 Let o = -3432 - -3436. Solve 0 = -o*r - 2*w, 2*w - w + 2 = 0 for r. 1 Let c(y) = y**3 + 9*y**2 - 27*y - 6. Let w be c(-11). Suppose -5*i = 2*h - w, h = -2*i + 6*h + 8. Solve 4*g + 3 + 11 = v, 3*g = -i for v. 2 Let k(h) be the first derivative of -2*h**2 + 2*h - 19. Let a be k(-4). Suppose -5*i + 2*i = -a. Solve 2*p - 3*m - 6 = 0, p + m = -2*m - i for p. 0 Suppose -278*z - 3*w - 9 = -275*z, -4*z + 4*w = -28. Solve 3*u - 5*f - z = 0, 3*u + 8 - 4 = -f for u. -1 Let k(b) = -b**2 + 25*b + 5. Let c be k(0). Let f(a) = a**3 + a**2 - 29*a. Let v be f(c). Solve -3 = -2*z - v*o + 3, 2*o = 5*z - 15 for z. 3 Suppose 2*l + 3*p = -1705, -4*l - 4*p - 865 = -3*l. Let s be 13/(l/10) - (-134)/26. Solve 2 + 9 = -2*c - s*i, -4*i = -c + 14 for c. 2 Suppose -41*j = -27*j - 224. Suppose 0 = -10*q + 84 + j. Solve 0 = 4*w - 5*z - q, -6*w + 4 = -w - 2*z for w. 0 Let v = 189 + -193. Let m(d) = -2*d**2 - 1. Let f be m(1). Let z be (-39)/(-52) - f/v. Solve -4*r + 5*k - 5 = z, -6*k = -k - 5 for r. 0 Suppose -y - 2 = 0, 33*v + 22 = 35*v + 2*y. Solve -8 = 5*q - 4*f, -3 = 5*f - v for q. 0 Let x(n) = -3*n - 38. Let z be x(-16). Let f(d) = d**2 - 23*d + 134. Let r be f(z). Solve c - 5*v = -7, c - r*c - 4*v = 2 for c. -2 Let u be (40/(-25))/(1/(-5)). Solve -p - 2*f - u = 0, p - 2*p = f + 4 for p. 0 Let y = -2137 + 2144. Solve -y*d = 2*a - 5*d, 4*a - 4 = -2*d for a. 2 Let m = 131 + -128. Suppose 46 = -m*g + 55. Solve 23 = 5*j + p, -3*j = -j - g*p - 16 for j. 5 Suppose 179*i - 4 = 180*i. Let x be (72/(-7))/(14/(-147)). Let r be (x/16)/(-9)*i. Solve -3*g - 4*f = -g - 2, 3*g = 2*f + r for g. 1 Suppose -15*z + 1 = 1. Let n be 16 + z + 10/25*-5. Solve 3*g + n = 2*j, g + 5*j + 0 = 1 for g. -4 Let u = 456 - 453. Suppose b - 18 = 35*f - 38*f, -u*b - 2 = -5*f. Solve -4*n + b = -3*y, 0*n + 22 = 5*y + 4*n for y. 2 Let z be 102/85 + 144/(-70) + 20/7. Solve -z*b + 4*o - 20 + 48 = 0, 2*b - 13 = o for b. 4 Let u be 10 - 8 - 0/1. Suppose -2*d + 4 = 0, u*d + 85 = 3*c + 7*d. Let j be 4/2 + (-2 - c/(-5)). Solve 4*a + 1 = 2*i - j, 0 = -5*a + 3*i - 7 for a. -2 Let r be (2/4)/((-1)/(-4)). Let t = 58506 - 58502. Solve 4*f + 7 = -r*a - 7, -3*f = -t*a + 16 for a. 1 Suppose 70*m - 713 = 28*m + 337. Solve -4 = -2*j + 2*c, -m*c = -5*j - 22*c for j. -3 Suppose 88 = 5*d - 282. Suppose -15*o = -1 - d. Solve c + 4 = 2*i, -o*i = 4 - 19 for c. 2 Let l = 61 + -58. Suppose -2*y + 9 + 7 = l*z, -4 = -z. Solve 0 = -y*o + 4*o + 3*g + 12, 4*o + 2*g + 8 = 0 for o. 0 Let t be 10/25 + 48/5. Suppose -w = -3*w + t, 0 = 3*q + 2*w + 5. Let f be (-1)/(-5) + 1/q. Solve 5*z - 4*b + 26 = 10, f = 2*z - 3*b + 12 for z. 0 Suppose 0 = 71*k - 64*k. Solve 4*m = 4*x + 4 - 0, -4*m - x - 21 = k for m. -4 Let p = -32335 + 32436. Solve 0 = -2*l - 5*s + 31, 0 = -4*l + 3*s - p + 98 for l. 3 Let q = -10 + 23. Let m(h) = -481*h**2 + 27 + 4*h + 480*h**2 + 5*h. Let o be m(11). Solve -l - q = 3*l - o*w, 3*l + 5*w = 34 for l. 3 Suppose -10*l + 9*l + 4 = 0, -3*l - 38 = -5*z. Suppose 0 = -2*i + 3*u + 25, -i - 2*i - u + z = 0. Solve 2*f + 0 = q + 9, -i*q = 2*f + 21 for f. 2 Suppose o + 965 = -4*o. Let c = 198 + o. Solve 4*s - c = 4*u + 3, -2 = -3*s + 2*u for s. -2 Let d = 88 + -86. Suppose -22 = -6*c + d. Solve c*w = 16, 0 = 4*n - 2*w + 13 + 11 for n. -4 Suppose 0 = -3*h + 14*h + 13*h - 1392. Solve -3 = 3*d - 2*c, 3*d + 2*c = -49 + h for d. 1 Let w = 21 - 6. Suppose w = 4*t + t. Suppose 0 = -3*z + t*d
{ "pile_set_name": "DM Mathematics" }
- 39*a = 17. Solve -4*q = -3*r + 9, -4*r = 4*q + r + o for q. -3 Suppose 183*r = 201*r. Solve -3*c - 8 = -7*j + 3*j, 5*j + 4*c + 21 = r for j. -1 Suppose -u + 48 = u. Suppose 0 = -4*q - 5*d + u, 3*d - 7 = -3*q + 8. Suppose 3*l - q - 5 = 0. Solve -2*g - 12 = -l*s, -2*s - s - 3*g = 0 for s. 3 Let q be -4 + (-6 - (-56 - 0)/4). Solve 8*g + 5*l + 35 = 3*g, 0 = 3*g - q*l for g. -4 Let t = 162 - 159. Solve d - t*r = 6*d + 7, 0 = 4*d + 3*r + 5 for d. -2 Suppose o - 2 + 4 = 0, 2*o = -5*u + 11. Suppose -3 = u*w - 27. Let f be w/36 - (-50)/18. Solve -2*l - 5 = f*r - 0, -2*r - 14 = -4*l for r. -3 Let w = 91 - 87. Solve g - b - 1 = 0, -5 = -g - w*g + b for g. 1 Let r(p) = p - 11. Let m(s) = -4*s + 46. Let f(d) = -2*m(d) - 9*r(d). Let z be (2 + 1)*2 + 1. Let k be f(z). Solve k = 5*n, 3*i - 3*n = -i - 12 for i. -3 Suppose 55*b - 100 = 65. Solve 3 = 2*i + b*c, -i + 4*c + 1 = 6*c for i. 3 Let w = 56 + -32. Suppose -5*k = -3*k + 2*t - w, 0 = 5*k - 4*t - 60. Let n be (-40)/k*(-12)/10. Solve -3*d - i + 2*i = n, -10 = 3*d + 2*i for d. -2 Suppose -24*j - 63 = -45*j. Suppose 2*r - 33 = -9. Solve 3*o + 12 = 3*b + j, 4*o + 4*b + r = 0 for o. -3 Suppose 3*l = -3*z + 210, 5*l = -0*l + 4*z + 350. Let k be 434/l - (-1)/(-5). Solve 3*p = -3*x + 3, x + p + 17 = k*p for x. -2 Suppose 9*l - 19 - 17 = 0. Suppose 2*k + 4*m - l = 0, -19 = -4*k + m + 2*m. Solve k*u + 16 = 0, u + 29 = d + 4*d for d. 5 Suppose 0 = -10*y + 14 + 76. Suppose 2*a - y*a = -287. Suppose 0 = -2*r + 3*r. Solve -5*i = -4*w - a, r*i - 5*w = 3*i + 5 for i. 5 Let g(w) = w - 8. Let l be g(13). Suppose 0*u - l*u + 9 = d, 3*d + 4*u - 5 = 0. Let v be 0/(-2 - (-5 - d)). Solve 1 = -4*m + j, 0 = -5*m + j - v*j - 1 for m. 0 Suppose m + 3*h = -10 - 1, 2*m = 2*h + 18. Solve -20 = -4*z, -m*q + 3*z - 30 = z for q. -5 Let h(y) = 2*y**2 - 7*y - 20. Let l be h(-2). Solve -5*m - 30 = -5*t, -l*t - 5*m - 28 = -5*t for t. 1 Let q(m) = -20*m + 124. Let l be q(6). Solve -2*a - l*o - 2 = 0, 6*o = -5*a + o + 5 for a. 3 Let r be (-1)/5 + (-55)/(-25). Let k be (-2)/((-5)/r + 2). Let c = 494 + -489. Solve -c*q + 12 = k*y, -2*y - 3*y = -4*q - 15 for y. 3 Let o be (-3)/(-7)*((-8)/(-2) - -3). Solve o*l = -3*y + 7*y, -3*l = -y for l. 0 Suppose -7*s = 1220 - 1234. Solve m = -d - s, -5*m + 30 = -4*d + 4 for m. 2 Let f(l) = -l**3 + 50*l**2 - 94*l - 94. Let m be f(48). Solve -5*b - x + 3 = 0, -16*x = -m*b - 12*x + 10 for b. 1 Suppose 2*r + r = 0. Let i(b) = b**3 + 3*b + 15. Let f be i(r). Solve -4*l = -y + f, -2*l - 1 = 2*y + 9 for y. -1 Let s(t) = -3 - 3*t + 6*t - t**2 + t**3 + 0*t. Let z be s(2). Let p(y) = -2*y + 16. Let j be p(z). Solve -4*h = -5*g + 2, -4*g - 2*h = -8*g - j for g. -2 Let v be 17 + -2 - (-2)/(-1). Suppose -3 = 5*d - v. Solve -5*c = 4*k + 13, 7*k - 20 = d*k + c for k. 3 Let k(h) = h**2 - 14*h + 1. Let r be k(14). Let v be (0 - r)*5*-3. Solve -v = -4*s + j, 3*s + s = 4*j for s. 5 Let r(v) = -v**2 - 3*v + 3. Let p be r(-3). Suppose -3*z + 8 + 4 = 0. Suppose 84 = -0*u + z*u. Solve -7*a + 11 = d - p*a, -d - u = -4*a for d. -5 Let p(r) = 2*r + 14. Let h be p(-6). Let u = 49 - 28. Let d be 69/u - 2/7. Solve -4*m = -d*a + 15, -7 = -h*a + 3 for m. 0 Let b be 18/(-2) - 0 - 1. Let o = b - -12. Suppose -2*r = -2*k + 8, 0 = k + o*k + 2*r - 12. Solve -2*g = 5*l - 1, -3*l = k*g - 3*g for g. 3 Let f = 287 + -287. Solve 2*m - 3*u - 12 = f, 0*m = 5*m + 3*u + 12 for m. 0 Let x(n) = 2*n**2 - 6*n + 2. Let a be x(4). Solve 3*o - 3*p + 21 = 0, 4*o + 10*p + a = 5*p for o. -5 Let r be 24/5 - 2/(-10). Suppose -173 = -3*f - r*n, 0 = 4*f - n - 19 - 204. Suppose f = 7*v - 3*v. Solve 2*b = -5*o - 16, -3*o - v = -3*b - o for b. 2 Let i be 1/(26/(-8) + 3). Let d = 26 - 5. Let m be i*(d/(-6) + 3). Solve 0 = 5*a - r - 2 + 1, 8 = m*r for a. 1 Suppose 7*w = -9 + 37. Let f be (-5 - (-1 - -1))*-1. Solve 2 + 6 = w*h, -f*h + 10 = r for r. 0 Suppose k + 78 = -5*k. Let y = k - -17. Solve -8 = -h - v + y*v, -3*v - 20 = 2*h for h. -4 Let q(m) = 2*m**2 + 25*m - 19. Let c be q(-14). Solve -3*z + 8 = -7, -5*z = g - c for g. -2 Let n(a) = 2*a**2 - 9*a - 36. Let h be n(-3). Solve 3*k + h = o, -17 = 5*k - 3*o + 2*o for k. -4 Let c be 1 + 1 - (-4 + 0). Let y be -27*(-5)/225*5. Solve y*q = -7*t + 3*t - 23, -t - q - c = 0 for t. -5 Suppose -2*y + 22 = -4. Suppose -2 = -15*v + y*v. Solve d + v = -u, -u + d = -3*d + 21 for u. -5 Let q = 90 + -87. Suppose -q*v - 2 = -11, 4*f - 5*v = -7. Solve 8 = -f*p - 2*m, -5*m + m = 20 for p. 1 Let h(c) = c**2 - 11*c - 5. Let t be h(7). Let i be t/(-9) + (-2)/3*1. Solve i*v - 2*o - 23 = 0, -2*o = 4*v - o - 16 for v. 5 Let v(r) = 5*r**2 - 1. Let l = 8 - -4. Let n = l - 13. Let y be v(n). Solve 3*q + y*c - 11 = 4, -2*q = 5*c - 17 for q. 1 Let n be 2/5*(-51 - 4). Let m = 27 + n. Let i be 6/(-5)*5/(-2). Solve b = -m*r + 21, -i*r + 17 = -4*b - 14 for r. 5 Suppose 6*s - s + 8 = 4*n, 2*n = s + 4. Solve g - 8 = -n*f, -2*g - 4 = 2*f - 7*g for f. 3 Suppose -15 = c - 0*c - t, -15 = c - 2*t. Let v = c + 44. Let f = v - 26. Solve -4*n - 27 = -3*r - 5, -5*n + f*r - 26 = 0 for n. -4 Let p(y) = -y**3 - y**2 + 3*y + 3. Let d be p(-4). Suppose -d + 39 = -3*h. Solve 8 = a - 2*f - h, 4*f + 16 = 0 for a. 0 Suppose 75*k + 30 = 76*k. Let l be (k/(-9) - -3)*-12. Solve -2*h + 2 = 2*r, r = 2*r + l*h + 5 for r. 3 Let i(c) = 2*c**2 + 42*c + 4. Let d be i(-22). Suppose -4*j + j + d = 5*b, 5*j + 13 = 2*b. Solve -3*v - b - 18 = -3*w, 4*v + 20 = 0 for w. 4 Suppose 14*j - 6*j - 40 = 0. Suppose c - 8 = -c, r = c - 4. Let l be (r - -2) + -1 - -2. Solve -l*w = 4*m - 0*m - 8, -j*w + 2 = m for w. 0 Let o(l) be the first derivative of l**3/3 + l**2 - 3*l - 3. Let q be o(-3). Suppose h - 6*h = q. Solve h*u - 13 = -4*u + 3*d, u - 7 = 2*d for u. 1 Let y(u) = -39*u + 29. Let d be y(-7). Suppose d*h = 306*h. Solve 6*r = 3*c + 2*r - 14, h = -c - 3*r - 17 for c. -2 Suppose 1016*w = 1025*w. Solve 0*y + 6 = k + 3*y, w = -2*k - 5*y + 10 for k. 0 Suppose -i = -0*i - 2. Let d be (0/(i/2 + 0))/2. Solve d = 2*b - 5*b + 2*v - 2, v = 2*b + 3 for b. -4 Let v(f) = f - 3. Let d be v(2). Let x = d + 7. Suppose 4*s - x = s. Solve k = -2*k + s*a + 19, 0 = -4*k + a + 17 for k. 3 Suppose -q + 6*q = 20, -q - 8 = -4*l. Let c be 4/l - (16/(-3))/8. Solve -3*t = -k + 4, -t - c*k - 13 = -0 for t. -3 Let u = -45 + 48. Let r be u + 4/4 + -1. Suppose 3*b = 12, -74 + 9 = -3*w + 4*b. Solve 5 = -r*d + 4*j - 6, 2*j + w = -5*d for d. -5 Let k(m) = -m + 7. Let w be k(7). Suppose 2*j = -3*c + 17, 5*j = -w*j + c. Solve s = -3*g + 5, -4*s + 3 = 3*g + j for s. -1 Suppose 4*b = -2*b + 18. Suppose -4*i + 5 = -b. Solve c + 2*c - 6 = 3*o, 0 = -5*o + i*c - 1 for o. 1 Suppose -35*a + 18*a + 51 = 0. Solve 0*h - g + 20 = 5*h, 5*h - 10 = -a*g for h. 5 Let i be 24/2*(-1)/(-4)*1. Suppose -i*h = 0, 2*h - 7 = -m + 2. Solve -b - 5*g = 10, 2*g + m = -g for b. 5 Suppose -5 + 4 = t. Let z be (10/(-6) - t)/((-2)/9). Let p = -3 - -6. Solve p*m - 3 = -3*f, -4*f + z = 5*m - 2 for f. 0 Let y(f) = f**3 - 13*f**2 + f - 11. Let g be y(13). Let n be (-66)/(-24) + 33/(-12) + g. Solve 2*k = 6, 3*m - n*k + 5 = 2*m for m. 1 Let o(x) = -x + 7. Suppose 6*q + 0 = 18. Let m be o(q). Solve -b + 2*b - 13 = 4*p, 0 = -4*b + m for p. -3 Let f(w) = 16*w + 114. Let m be f(-7). Solve 2*c = -m*b - 6, -14 = 3*b - 3*c - 5 for b. -3 Let c(z) = z**2 - 4*z + 2. Let b be 12/(-30) + (-13)/5. Let m be 10/b*(-12)/10. Let x be c(m). Solve 2*k + 5*p + 21 = 0, -x*k = 2*k + 3*p + 21 for k. -3 Suppose 0 = -2*h - 3*h + 20. Suppose 8 = j - 3*l + 3, -5*j = -3*l - 85. Let d be j/(-3)*15/(-5). Solve -5*a - 4*b = b + 40, 0 = h*b + d for a. -3 Let g(w) = -5*w + 15. Let a be g(2). Solve -3*t = a*z - 34, 4*z - 8 = 5*t - t for t. 3 Let s = 7 + -1. Let j be -3*(-2)/s + 2. Suppose -2*u = 7*u. Solve 0 = f - j*q + 9, -3*f + 10*q - 5*q - 11 = u for f. 3 Let r = -33 + 43. Suppose -r = 5*n + 5*z, 3*n + z = -0 + 2. Let c = -3 + 8. Solve c*p - 25 = -0*p, -n*q - p = -5 for q. 0 Suppose 5*m - 144 = m. Let w = -34 + m. Solve 5*l + 6 = -4*x, 3*x - w*x + 10 = 3*l for l. 2 Suppose -4*u = -45 - 3. Suppose -o + 2*n = -3*n + 1, 4*o - 4*n - u = 0. Solve o*g = -2*y + 2*g, 4*g = 20 for y. -5 Let s(c) = c**2 - 7*c + 21. Let q be s(6). Suppose q = 3*d - 0*d. Solve m + 24 = -0*m + 5*w, 0 = d*m - w for m. 1 Let h(f) = 10*f - 3. Let c be h(1). Let a(s) = 4*s + 37. Let r be a(-8). Solve -2*b = -2*d + c*d + 33
{ "pile_set_name": "DM Mathematics" }
(d) 5 (e) 12 (f) -0.3 c What is the third smallest value in -15, -515, 4/7, 3, 10? 4/7 Which is the second smallest value? (a) 7/5 (b) 1 (c) 0.5 (d) -1/5 (e) -33992 (f) -1 (g) -0.1 f Which is the fourth smallest value? (a) -2/7 (b) 28 (c) 8 (d) 10/13 (e) 5 (f) -0.04 e What is the second biggest value in 45, -2/299, 17, -4, 1/8? 17 Which is the third smallest value? (a) 1 (b) -1089 (c) 5 (d) -2/131 (e) -0.1 (f) 0.2 d Which is the second biggest value? (a) -1 (b) 34/164415 (c) 4 b Which is the third smallest value? (a) -5 (b) 2/7 (c) 11/109444 (d) -0.2 (e) 1 c What is the fifth smallest value in 3/4, -1, 0.6, 0.3, 60192? 60192 Which is the fourth biggest value? (a) 0.34 (b) 3/287 (c) -26 (d) -5 (e) -16 e Which is the third smallest value? (a) -0.014 (b) 36.44 (c) 8 (d) -0.4 c Which is the fourth smallest value? (a) -2 (b) -0.5 (c) -8 (d) -3.22 (e) -1/10 (f) -0.05 (g) -5/2 a What is the second smallest value in 2, 2/9, -0.1, 7, 4, 930/17, -2? -0.1 What is the second biggest value in 2753, -0.3, -7, -6? -0.3 Which is the third smallest value? (a) 0.25 (b) 105 (c) 10727 (d) -4 b Which is the biggest value? (a) 95 (b) 2/11 (c) -31 (d) -34 (e) 4 (f) -1 a Which is the third smallest value? (a) -196 (b) 2/215 (c) 1 (d) 6/7 (e) -3 (f) 1/4 (g) -0.01 g What is the smallest value in -157, 4.67, -3/8? -157 What is the third biggest value in -1/5, -27, -66/71, -0.4, -2/9? -0.4 What is the fifth biggest value in -1/169, 1/4, 4, -10, -1/5, -2/17? -1/5 Which is the biggest value? (a) -2488 (b) 1/23 (c) -17/2 b Which is the fourth biggest value? (a) -0.001 (b) 6/61 (c) -3/5 (d) 15 (e) -31 (f) 2/15 a Which is the biggest value? (a) -37 (b) -77 (c) 4165 c Which is the fourth smallest value? (a) -0.2 (b) -5 (c) -0.3 (d) 7/5 (e) 0.08 (f) 239 e What is the fourth biggest value in -51160, 1, 0, 35? -51160 What is the smallest value in -13, -2/83, -53848? -53848 What is the fifth smallest value in 5, 2, -2, -23761, -2/11? 5 What is the second biggest value in 981168, -2/7, -0.4? -2/7 What is the second smallest value in 1, -2, -0.6, 0.4, 7, -1.3, -51.3? -2 Which is the second biggest value? (a) -12 (b) -0.2 (c) -241649 a What is the smallest value in 0.02, -102, 5, 3, -49, 0.3? -102 Which is the second biggest value? (a) 3.5 (b) -6969.9 (c) 1/7 c What is the sixth smallest value in -5, -23, 2/7, -0.5, -1065, -170? 2/7 What is the second smallest value in 5, 189, -4/65, 1/8, -0.2? -4/65 Which is the second biggest value? (a) 4 (b) -5/271 (c) -3/7 b Which is the second smallest value? (a) 3/7 (b) 0.6 (c) -1545 (d) -4 (e) -3/7 (f) 13 d What is the second smallest value in -6, -123626, -58/43? -6 What is the smallest value in 3, 2977/7, 0.2, 0.22? 0.2 What is the fifth smallest value in 3843, -1.5, 1, -0.2, 1/6, -1? 1 Which is the second biggest value? (a) 0.002 (b) 1/2 (c) -24/17 (d) 2/9 (e) 3 b What is the fourth biggest value in -2/11, -0.27, 0.1, -74, -14, 2? -0.27 Which is the biggest value? (a) -2/23 (b) -2/17 (c) 5 (d) 0 (e) -0.04 (f) -629 c Which is the biggest value? (a) 0.3 (b) -5 (c) -292 (d) -5/46 a Which is the third biggest value? (a) -3845 (b) -5 (c) -2 (d) 1/56 b Which is the biggest value? (a) 8/3 (b) -7529 (c) -0.3 (d) -5 a Which is the sixth smallest value? (a) 0 (b) 438 (c) 17 (d) -0.5 (e) 0.5 (f) -1 b What is the third biggest value in 1, 1/3, -0.2, -1561910? -0.2 What is the fourth smallest value in -2/13, 12/14611, 9/4, -5, 2? 2 Which is the third smallest value? (a) 8.53 (b) 4 (c) 23 (d) 5 (e) -4 (f) 0 (g) 0.4 g What is the second biggest value in -21/16, -0.009, 50, -0.1? -0.009 Which is the fourth biggest value? (a) 3 (b) -5/4 (c) -0.1 (d) 103 (e) 1108 c What is the second biggest value in 0, 2, 2192, 3, 547, 2/7? 547 Which is the second biggest value? (a) 147/8 (b) -17.8 (c) -0.1 (d) 0.05 (e) 4 e Which is the fourth biggest value? (a) -0.5 (b) 10714 (c) -2 (d) 3 c What is the third biggest value in 0.0618, -4, 10, -1.3, 0.1? 0.0618 Which is the biggest value? (a) 1 (b) -1/4 (c) 0.5 (d) -0.5 (e) 1041.2 (f) 0.3 e What is the fourth smallest value in 180, -8, 46, -0.5, -1/3? 46 What is the third biggest value in 0.04, -5, -76653452? -76653452 Which is the fourth biggest value? (a) -2 (b) -6175 (c) 3/20 (d) -1 (e) 3/8 (f) 4 (g) -1/2 g Which is the seventh smallest value? (a) 0.1 (b) 2/5 (c) -16710 (d) -3 (e) -2/7 (f) 1 (g) 0 f Which is the fifth smallest value? (a) 0 (b) 199 (c) -4/5 (d) 337 (e) 0.4 (f) -0.3 b What is the biggest value in -0.3, -2/17, -21578158, 2/11? 2/11 Which is the second biggest value? (a) -13 (b) -1/70 (c) 1218 b What is the fourth biggest value in 0.5, -5, 0.1, 112114, -1/2? -1/2 What is the third smallest value in 10.196033, -0.4, -5, 5? 5 Which is the second biggest value? (a) 1 (b) -206 (c) 3/4 (d) 32.4 a Which is the fourth smallest value? (a) -3/5 (b) -0.4 (c) -1 (d) 0.2 (e) -0.1200632 (f) -3 b Which is the fourth smallest value? (a) -3 (b) 48 (c) 3/8 (d) -260872 b Which is the smallest value? (a) 6510 (b) 1059 (c) -3 (d) -2/3 (e) 2 c What is the second biggest value in -5, 6.1089, 0.16, 4? 4 What is the fifth smallest value in 2, -0.16, -1/4, 1.5116, 5? 5 What is the fifth smallest value in 2/15, 2/7, 2/25, 24/5, -6, -0.7? 2/7 Which is the fifth smallest value? (a) 116 (b) 7 (c) 44 (d) 0.27 (e) 1/3 a Which is the third biggest value? (a) -2/13 (b) -3/7 (c) -18093499 c Which is the third biggest value? (a) 3/22 (b) 139 (c) -280 c What is the second smallest value in 2/69, -75, -4, 296? -4 Which is the second biggest value? (a) 0 (b) 1/10 (c) 1 (d) 125 (e) 2 e What is the fourth biggest value in -3, -0.4, 1/87, 1/729? -3 Which is the second smallest value? (a) 1.1 (b) -1/2 (c) -168767 b Which is the fifth smallest value? (a) 450/17 (b) 5 (c) -13 (d) -8.3 (e) 2 a What is the smallest value in -4/7, 0, -6, -21, -2.6, 3, 17? -21 Which is the smallest value? (a) -149429 (b) 6.8 (c) -5 a Which is the smallest value? (a) 4 (b) -11.4 (c) 16 (d) -2 b What is the fourth smallest value in 707544, 4, -1, -3.3, -2/3? 4 What is the fourth biggest value in 874/11, 0, 2/3, -1/2, 15, 2? 2/3 Which is the fourth smallest value? (a) 3 (b) 1/9 (c) -4411 (d) 1/4487 a What is the second biggest value in 167, -1/8, -4, -9/7, 5, 0.5? 5 Which is the fifth biggest value? (a) -89271 (b) 2/37 (c) 3 (d) -5 (e) -0.4 (f) -4/5 d What is the smallest value in 5.436, 14/3, -2/25, -2/11? -2/11 What is the third smallest value in 5, -19, -382, -5, -0.4, 370? -5 What is the fourth smallest value in 308, 0, 3, -1.8, 9/2, 12? 9/2 Which is the second smallest value? (a) 2/61 (b) -1/35 (c) 20203 a Which is the third smallest value? (a) 0 (b) -2 (c) -297.15 (d) -155 b What is the second biggest value in -0.3, -210, -0.0171, -1.2, 2? -0.0171 Which is the fourth smallest value? (a) 123897 (b) -6 (c) -3 (d) 54 a Which is the second biggest value? (a) -0.2 (b) -8690474 (c) -3 (d) -1/7 (e) 0.1 (f) -1/4 d What is the fourth biggest value in 3, 3/7, -0.14, -35, 1, -5, 7.51? 3/7 Which is the fourth biggest value? (a) -0.4 (b) 1/16 (c) 5 (d) 2/5 (e) -3029 a What is the fourth smallest value in -0.4, -3, 36/35, -0.1, 0.5, -2, -4.31? -0.4 What is the fourth biggest value in 3, -7, 354.6, 0.4, -4/5, -84? -4/5 What is the third biggest value in 3, 155.7, -3/4, -0.1, 4/71? 4/71 Which is the fourth biggest value? (a) 2 (b) 1 (c) -423 (d) 4906 (e) -1 e What is the fifth smallest value in -2/15, -3/7, 1/2, -8.61, 1/3? 1/2 What is the fifth biggest value in -150, -2/3, 141, -0.05, -2/5, 0.2? -2/3 What is the third smallest value in 2, -3.289, -4, -5/29, 2/11? -5/29 What is the biggest value in -176, -0.131, -2, 28/11? 28/11 What is the second smallest value in -3, -1/62, 92, 9/14? -1/62 What is the fourth biggest value in -1, -1.212, 72, 2? -1.212 Which is the third biggest value? (a) 3 (b) -1/25 (c) 725757 b Which is the fifth biggest value? (a) 1 (b) 0.11 (c) -7/4 (d) -2/9 (e) -51 (f) 0.7 (g) 1/4 d Which is the third biggest value? (a) -3/19 (b) -417 (c) -6 (d) -2/9 c Which is the biggest value? (a) 287
{ "pile_set_name": "DM Mathematics" }
ve z. -5 Rearrange (4*k - 2 - 4*k + k)*(-91 + 7 - 2)*(-1 - 4 + 3) to f*k + q and give f. 172 Rearrange -19 - 50*j + 25*j + 14*j to the form n*j + r and give r. -19 Express -18*z**2 - 497*z**2 - 1400*z**2 as s*z**2 + m + f*z and give s. -1915 Rearrange 5*l**2 + 5 - 6*l**2 + 4*l - 4*l to s*l**2 + z + f*l and give s. -1 Express (-3*g + 3*g - 2*g**2)*(61*g + 105*g - 237*g + (-1 + 1 + 1)*(0*g + 2*g + 0*g) + 2*g - 2*g + g) in the form n*g + l*g**3 + h*g**2 + s and give l. 136 Express (47 - 47 - 134*q)*(12*q**2 - 5*q**2 + 7*q**2) as h*q**3 + o*q**2 + d*q + z and give h. -1876 Express -474*h**4 - 2*h**3 + 516*h**4 - 343*h**4 - 15*h + 13*h in the form w*h**2 + r*h**3 + p + x*h**4 + k*h and give k. -2 Express (67*l**2 - 35*l**2 - 59*l**2)*(-4 + 4 + l)*(-4 + 4 - 2*l) as q*l + b + c*l**3 + r*l**2 + i*l**4 and give i. 54 Rearrange 11 - w**3 - 610*w**2 - 621*w**2 - 2*w**4 + 1233*w**2 to the form b*w**2 + s*w**3 + o*w**4 + q*w + f and give f. 11 Rearrange (-66 + 66 + 26*z**2)*(-6*z - 5*z - 9*z - 5*z) to w*z**2 + p*z**3 + x + k*z and give p. -650 Rearrange (-1 + 1 + 2*w)*(-4 + 4 + 2) + (6 - 15 - 2)*(19*w + 19*w - 5*w) to a*w + v and give v. 0 Express (0*j + 7*j - 2*j)*(7 + 16 + 17) as y*j + c and give y. 200 Express -278 - 1089*r + 278 as z + l*r and give l. -1089 Rearrange -8*h**4 + 5 + 21*h**3 + 231449*h**2 - 3 - 231449*h**2 to the form p + k*h**3 + q*h + a*h**4 + r*h**2 and give a. -8 Express (0 + 0 + 2*p)*((-2 + 0 + 4)*(4 + 1 - 4) - 3 + 2 + 0)*(-3*p + 0*p + 2*p) + (2076*p + 19*p**2 - 2076*p)*(0 + 1 + 2) as m*p + t*p**2 + d and give t. 55 Express (3375*w - 1682*w - 1691*w + 35)*(8*w - 22 + 22) in the form v*w + p + h*w**2 and give v. 280 Rearrange 127*n**2 - 126*n**2 - 4*n - 3*n + n**4 - 1 + 6*n to the form j*n**4 + c + o*n**3 + g*n + h*n**2 and give c. -1 Rearrange (3*u + u + 6*u + (-3*u + u + 4*u)*(-2 + 4 + 0) + 0*u + 2*u + 0*u + u + 2*u - 2*u)*(13*u + 8*u - 3*u) to the form z*u**2 + c*u + f and give z. 306 Express (2*x**2 - 2*x**2 + 2*x**3)*(-2 + 3 - 3) + (-12*x**2 - 6*x**2 + 3*x**2)*(0*x + x + x) - 2 + 2 - x**3 as b + o*x**3 + q*x**2 + v*x and give v. 0 Express (1 + 3 + 1)*(-15 - 15*f - 54 + 14*f) in the form i*f + l and give i. -5 Express -93*u**3 + 77*u**2 - 13 + 92*u**3 - 75*u**2 - u as q*u**2 + o*u**3 + y + c*u and give q. 2 Rearrange 3*r**4 + 2 - 5*r**4 + 45*r**2 + r**3 + 4*r**4 - 2 to m*r**4 + l*r**2 + v*r**3 + u + q*r and give v. 1 Rearrange 88*f**4 - 89*f**4 - 2*f**3 + 3*f**3 - 2*f**2 + 62 to g*f**2 + z*f**4 + v*f + l + a*f**3 and give l. 62 Express 45844 - i**3 - 2*i**2 - 45854 + i - 2*i + (0*i + i - 2*i)*(0*i**2 + 2*i**2 - 5*i**2) as h + f*i**3 + m*i + b*i**2 and give m. -1 Express 47 - 4421*y + y**2 + 4426*y - 10 in the form j + q*y**2 + d*y and give j. 37 Express -2*z**4 - 3*z**4 + 3*z**4 + (3*z**2 - 14*z + 14*z)*(-z**2 - 9*z**2 + z**2) as m*z**2 + g*z + d + a*z**3 + k*z**4 and give k. -29 Rearrange 3*x**2 - 88*x + 2 + 90*x + 8 to l*x**2 + r*x + p and give p. 10 Rearrange -316*b + 4 + 142*b + 161*b to y + z*b and give y. 4 Express (63*i - 14*i - 949*i**2 - 300*i**2 - 49*i)*(3*i - 5*i + 4*i) as j + u*i + x*i**3 + c*i**2 and give x. -2498 Express -149 - 14*w**2 - 12*w**2 + 57*w**2 - 17*w**2 - 13*w**2 as s + v*w + c*w**2 and give c. 1 Express -180*x**4 - 6*x**2 + 2 + 102*x**4 + 80*x**4 + 2*x in the form z*x**4 + u + m*x**2 + f*x**3 + r*x and give u. 2 Express 3*o**3 + 4 - 4*o**3 - 48*o**2 + 0 - 6 + 4 as j + m*o**2 + p*o + w*o**3 and give m. -48 Rearrange -17*n - 21*n - 1 + n to the form g*n + c and give c. -1 Rearrange 28*m**2 - 77 + 58*m**2 + 42 + m + 34 to q*m + o + z*m**2 and give o. -1 Rearrange 2155*y - 8*y**3 + y**2 - 2155*y + 59*y**3 to p*y**2 + n + b*y + g*y**3 and give g. 51 Express (-n**2 - 2*n**2 + 8*n**2)*(99 + 44 - 2 - 32) in the form t*n**2 + r*n + y and give t. 545 Rearrange (0 - 3*f + 0)*(1798 - 106 + 1978 - 171) to p + a*f and give a. -10497 Rearrange -20*n**2 - 34*n**3 - 41*n**3 + 3 + 113*n**3 - 36*n**3 to the form l*n**2 + o*n + r*n**3 + s and give r. 2 Express 459*g**3 - 2*g - 20 + 21 - 2 + 2*g as r*g**2 + x*g**3 + j*g + s and give x. 459 Express 0*v + 0*v + v + (v - v + 6*v)*(1 - 3 + 4) - 8*v + 879 - 879 in the form x + t*v and give t. 5 Rearrange (-13 + 0 + 7)*(-53*m - 37*m - 16*m - 64*m - 177*m) to s*m + v and give s. 2082 Express (81 - 54 - 69)*(4*u**2 - 4*u + 4*u) in the form h*u + n*u**2 + k and give h. 0 Rearrange 2*y**3 - y**3 - 4*y**3 + (-5*y + 4*y - 2*y)*(-3 + 5*y**2 + 3) - 5*y**3 + 2*y**3 + 1 + y**3 to u + z*y**3 + x*y**2 + n*y and give u. 1 Rearrange 71 - 97 + 32 + 47*z + (4 - 6 + 0)*(3*z - 3*z - z) to the form y + l*z and give y. 6 Rearrange -i**3 + 1 - 1 + (-i**3 - i**3 + 0*i**3)*(-3 + 5 + 0) - 2 + 2 + i**3 + (5 + i**2 - 5)*(25 - 34 - 9*i - 23) to d + s*i + a*i**3 + z*i**2 and give a. -13 Rearrange -1409*u**3 + 9*u + 2898*u**3 - 1445*u**3 + 2*u to the form c*u**3 + k*u + j*u**2 + f and give k. 11 Express -27313*d**2 + 1 + 27330*d**2 + 0 + 15*d**3 in the form x*d**2 + g*d + v + o*d**3 and give x. 17 Rearrange 49*i - 131 + 2*i**2 + 131 to the form n*i + c*i**2 + u and give n. 49 Express (-38 + 3 - 7)*(23*m + 2*m - 4*m)*(3*m + 0*m - 4*m) as z*m**2 + d*m + t and give z. 882 Rearrange 20*n**2 + 20*n**2 + 20*n**2 - 340*n - 71*n**2 + 14*n**2 to m*n + b + o*n**2 and give m. -340 Rearrange -29*b + 129*b - 34*b + 50*b**2 - 38*b - 30*b to h*b + v + p*b**2 and give h. -2 Express (2*t - 3*t + 4*t)*(-3 + 1 + 4 + (-4 + 3 + 3)*(-3 - 4 + 5)) + (-4 + 5 - 4)*(-2*t - t + 0*t) + 0 + 3*t + 0 in the form z*t + n and give z. 6 Express (g - 2*g + 2*g)*(1 - 1 + 2*g) - 5*g**2 + 0*g**2 + 4*g**2 + (3*g + 57 - 57)*(-16*g + 3 - 2*g + 9*g) in the form l + r*g + j*g**2 and give j. -26 Express 9*s**2 - 89*s + 242 - 124 - 118 as z*s + r*s**2 + d and give z. -89 Rearrange -4 - 1 + 5 - 22*f**2 - 3 to h*f + t*f**2 + i and give i. -3 Express (-2*m + 5*m - 2*m)*(1 + 0 + 1) + (3 + 0 - 1)*(-1 - 3 + 5)*(-22*m + 0*m - 19*m + (-5 + 3 + 1)*(-4 + m + 4)) as i + y*m and give y. -82 Express (30 + 5 - 5 + 16)*(22*u**2 - 12*u**2 + u**4 - 11*u**2) in the form x*u**3 + q*u + l*u**2 + v + b*u**4 and give x. 0 Express (2 - 13 - 52*k**3 + 12 + k**2)*(-9*k + 2*k - 9*k) as h + d*k**2 + t*k**4 + c*k + i*k**3 and give t. 832 Rearrange -313*k + 44*k + 57*k + 778*k + 584*k to q*k + b and give q. 1150 Express 2*b**3 + b - b + (b**2 - b**2 - b**2)*(3*b - 4*b - b) + 3*b - 3*b + b**3 - 1899*b**3 - 2535*b**3 + 5221*b**3 as r + d*b**2 + s*b**3 + a*b and give s. 792 Rearrange 3 + 2*j**2 + 164*j**3 - 3*j - 163*j**3 + 2*j + 2 to u + n*j**2 + s*j**3 + t*j and give s. 1 Rearrange 7*y**3 - 2*y**3 - y**3 + (-4 + 2 + 1)*(-9*y - 2*y**3 + 9*y) to p*y**2 + f + s*y + n*y**3 and give p. 0 Rearrange (p - p + 4*p)*(-1 + 7 - 2) + p - p - 2 + 2*p to q + c*p and give q. -2 Express (2 - 2*h - 2)*(2*h - h - 2*h) + 4*h + h**2 - 4*h - 265*h + 265*h - 2*h**2 as n*h + z*h**2 + w and give z. 1 Express 4 + 2*r - 3*r - 9*r - 15*r as h*r + t and give t. 4 Express (-6*o**2 + 6 + 3*o**2 + 4*o**2)*(-2*o + o - 2*o)*(2 - 6 + 16) in the form b*o**2 + i*o**3 + f + p*o and give i. -36 Express (2*d - 2*d**2 - 2*d)*(234*d + 82*d + 530*d) as v*d**3 + x*d + w + s*d**2 and give v. -1692 Express -29*b + 53*b + 80*b + 14*b + 46*b in the form a + f*b and give f. 164 Express -341 + 3*r + 487 - 4*r - 372 in the form i + h*r and give i. -226 Rearrange -20*o**2 + 48*o + 2*o**4 - 56*o + 9*o - 5*o**3 + 90*o**2 to v*o**3 + p*o**4 + q + r*o + n*o**2 and give v. -5 Express (q - 10*q**2 + 6*q**2 + 6*q**2)*(-10*q - 51*q - 47*q) in the form s*q + m*q**3 + o + g*q**2 and give g. -108 Rearrange (2 + 1 - 4 + (0 - 3 + 1)*(3 - 2 + 1))*(-67*q + 89*q - 42*q) to m + d*q and give d. 100 Express -30*m - 7*m**3 - 10*m**3 + 30*m + 3*m**2 in the form t*m**2 + a*m**3 + o*m + y and give a. -17 Express 30*z**2 - 42*z**2 - 119*z**2 - 48*z**2 in the form v + c*z + y*z**2 and give y. -179 Rearrange 49 + 54 + f + 57 - 92 to the form q + n*f and give q. 68 Rearrange ((o + 3*o - 7*o)*(-2 - 2 + 6) + 2*o - 5*o + o - 3*o - 4*o + 2*o)*(-2 + 4 + 0) to a*o + u and give a. -26 Rearrange 4*w**4 + 7*w**2 + 3*w**4 + 6 - 2*w**3 - 9*w**2 - 7 + 0*w**4 to the form z*w**2 + j + p*w**3 + v*w**4 + u*w and give v. 7 Express 12 - 2 - 197*u + 14*u - 10 in the form j*u + h and give h. 0 Express -13*d**2 + 152 - 16*d**2 - 15*d**2 + 57*d**2 - 20*d**2 in the form b + m*d
{ "pile_set_name": "DM Mathematics" }
tween 6:59 AM and 6:53 PM? 714 What is 191 minutes after 7:31 PM? 10:42 PM What is 82 minutes before 1:10 AM? 11:48 PM How many minutes are there between 11:54 AM and 6:20 PM? 386 What is 661 minutes before 1:34 PM? 2:33 AM How many minutes are there between 6:39 AM and 10:03 AM? 204 What is 249 minutes after 8:31 PM? 12:40 AM What is 388 minutes before 8:37 AM? 2:09 AM How many minutes are there between 1:35 PM and 12:53 AM? 678 How many minutes are there between 9:44 PM and 10:34 PM? 50 How many minutes are there between 12:44 PM and 9:00 PM? 496 How many minutes are there between 11:41 PM and 4:37 AM? 296 What is 54 minutes after 1:40 PM? 2:34 PM What is 458 minutes after 4:07 AM? 11:45 AM How many minutes are there between 3:02 PM and 10:30 PM? 448 What is 424 minutes before 2:40 PM? 7:36 AM What is 359 minutes before 8:32 AM? 2:33 AM How many minutes are there between 10:37 AM and 2:51 PM? 254 How many minutes are there between 8:03 PM and 1:34 AM? 331 How many minutes are there between 2:31 PM and 2:19 AM? 708 What is 374 minutes after 12:44 PM? 6:58 PM How many minutes are there between 6:16 PM and 6:02 AM? 706 What is 597 minutes after 6:57 AM? 4:54 PM How many minutes are there between 4:45 PM and 10:02 PM? 317 What is 682 minutes before 2:02 PM? 2:40 AM How many minutes are there between 4:36 PM and 9:36 PM? 300 What is 50 minutes before 4:51 AM? 4:01 AM What is 4 minutes after 7:32 AM? 7:36 AM What is 704 minutes after 4:05 AM? 3:49 PM What is 491 minutes before 2:41 PM? 6:30 AM What is 289 minutes before 2:52 PM? 10:03 AM What is 657 minutes before 8:43 AM? 9:46 PM What is 209 minutes after 10:09 AM? 1:38 PM How many minutes are there between 11:45 AM and 12:18 PM? 33 How many minutes are there between 12:28 PM and 11:49 PM? 681 How many minutes are there between 5:31 AM and 7:22 AM? 111 What is 689 minutes after 5:17 AM? 4:46 PM How many minutes are there between 11:00 AM and 10:30 PM? 690 What is 159 minutes after 2:43 AM? 5:22 AM How many minutes are there between 12:26 AM and 9:54 AM? 568 What is 520 minutes after 9:46 PM? 6:26 AM How many minutes are there between 10:02 AM and 12:18 PM? 136 How many minutes are there between 9:52 AM and 9:41 PM? 709 How many minutes are there between 2:38 AM and 10:48 AM? 490 What is 539 minutes before 4:58 PM? 7:59 AM What is 445 minutes before 6:02 AM? 10:37 PM How many minutes are there between 9:48 PM and 7:08 AM? 560 How many minutes are there between 9:33 AM and 1:02 PM? 209 How many minutes are there between 6:27 PM and 1:30 AM? 423 How many minutes are there between 5:05 PM and 5:38 PM? 33 What is 520 minutes after 10:29 PM? 7:09 AM How many minutes are there between 1:53 AM and 4:39 AM? 166 How many minutes are there between 1:31 PM and 4:54 PM? 203 How many minutes are there between 10:31 PM and 5:12 AM? 401 How many minutes are there between 12:53 PM and 1:03 PM? 10 How many minutes are there between 12:15 PM and 1:53 PM? 98 How many minutes are there between 1:03 PM and 2:44 PM? 101 What is 421 minutes after 2:47 PM? 9:48 PM How many minutes are there between 4:25 PM and 10:06 PM? 341 What is 517 minutes after 11:23 AM? 8:00 PM How many minutes are there between 4:12 AM and 9:04 AM? 292 What is 657 minutes before 2:08 PM? 3:11 AM How many minutes are there between 8:13 AM and 8:48 AM? 35 What is 128 minutes after 4:21 PM? 6:29 PM How many minutes are there between 9:50 PM and 6:02 AM? 492 What is 209 minutes before 4:30 PM? 1:01 PM How many minutes are there between 11:46 AM and 9:55 PM? 609 What is 679 minutes before 12:25 AM? 1:06 PM What is 217 minutes after 9:23 PM? 1:00 AM How many minutes are there between 7:19 AM and 3:41 PM? 502 What is 194 minutes after 10:36 PM? 1:50 AM What is 492 minutes after 4:32 PM? 12:44 AM What is 539 minutes before 5:43 AM? 8:44 PM What is 237 minutes after 3:50 PM? 7:47 PM What is 454 minutes before 5:59 PM? 10:25 AM How many minutes are there between 8:54 PM and 7:10 AM? 616 What is 414 minutes after 1:21 AM? 8:15 AM How many minutes are there between 1:54 PM and 4:04 PM? 130 What is 660 minutes before 9:02 PM? 10:02 AM How many minutes are there between 10:37 AM and 9:57 PM? 680 How many minutes are there between 2:08 PM and 5:30 PM? 202 What is 156 minutes before 7:37 AM? 5:01 AM What is 663 minutes before 6:07 AM? 7:04 PM How many minutes are there between 1:03 PM and 7:31 PM? 388 How many minutes are there between 1:06 AM and 5:52 AM? 286 What is 543 minutes after 7:57 PM? 5:00 AM How many minutes are there between 7:29 AM and 4:27 PM? 538 How many minutes are there between 11:49 PM and 4:52 AM? 303 How many minutes are there between 7:49 AM and 9:39 AM? 110 How many minutes are there between 5:59 PM and 4:54 AM? 655 What is 96 minutes before 1:37 PM? 12:01 PM How many minutes are there between 3:33 AM and 3:44 AM? 11 How many minutes are there between 9:45 AM and 10:21 AM? 36 What is 679 minutes before 2:49 PM? 3:30 AM What is 385 minutes after 6:38 PM? 1:03 AM What is 706 minutes after 3:52 AM? 3:38 PM How many minutes are there between 6:05 AM and 2:33 PM? 508 How many minutes are there between 12:22 PM and 6:56 PM? 394 How many minutes are there between 4:11 PM and 4:30 PM? 19 What is 292 minutes after 5:15 AM? 10:07 AM What is 459 minutes before 5:11 AM? 9:32 PM How many minutes are there between 4:18 AM and 12:45 PM? 507 What is 123 minutes before 7:20 AM? 5:17 AM How many minutes are there between 12:18 PM and 2:15 PM? 117 What is 627 minutes after 5:14 AM? 3:41 PM What is 507 minutes before 4:25 AM? 7:58 PM What is 246 minutes before 9:48 PM? 5:42 PM What is 376 minutes before 5:00 AM? 10:44 PM How many minutes are there between 11:38 PM and 5:03 AM? 325 What is 530 minutes after 4:35 PM? 1:25 AM How many minutes are there between 3:21 AM and 7:12 AM? 231 How many minutes are there between 5:08 AM and 2:55 PM? 587 What is 611 minutes before 7:03 PM? 8:52 AM What is 665 minutes after 3:15 AM? 2:20 PM How many minutes are there between 1:43 PM and 11:03 PM? 560 How many minutes are there between 2:26 PM and 12:43 AM? 617 How many minutes are there between 5:51 PM and 9:47 PM? 236 What is 679 minutes before 8:28 PM? 9:09 AM How many minutes are there between 1:52 AM and 7:17 AM? 325 What is 620 minutes after 8:28 PM? 6:48 AM How many minutes are there between 8:19 AM and 10:27 AM? 128 What is 170 minutes before 7:52 AM? 5:02 AM How many minutes are there between 8:50 AM and 11:54 AM? 184 How many minutes are there between 12:25 AM and 3:29 AM? 184 How many minutes are there between 1:41 PM and 6:27 PM? 286 How many minutes are there between 3:51 AM and 5:28 AM? 97 What is 570 minutes before 12:37 PM? 3:07 AM How many minutes are there between 7:25 AM and 6:06 PM? 641 How many minutes are there between 9:24 AM and 11:48 AM? 144 What is 592 minutes after 1:50 AM? 11:42 AM What is 337 minutes after 9:20 AM? 2:57 PM How many minutes are there between 5:44 AM and 11:15 AM? 331 What is 688 minutes after 4:51 PM? 4:19 AM How many minutes are there between 2:15 PM and 5:02 PM? 167 What is 185 minutes after 7:26 PM? 10:31 PM How many minutes are there between 1:41 AM and 6:44 AM? 303 What is 414 minutes after 3:58 PM? 10:52 PM How many minutes are there between 9:16 PM and 2:34 AM? 318 How many minutes are there between 5:28 PM and 8:50 PM? 202 What is 327 minutes after 12:18 AM? 5:45 AM What is 322 minutes before 8:44 AM? 3:22 AM How many minutes are there between 4:42 AM and 11:51 AM? 429 How many minutes are there between 4:51 PM and 4:30 AM? 699 How many minutes are there between 9:53 PM and 10:18 PM? 25 How many minutes are there between 12:36 AM and 2:31 AM? 115 What is 646 minutes after 12:25 AM? 11:11 AM What is 485 minutes before 1:50 PM? 5:45 AM How many minutes are there between 5:55 PM and 3:47 AM? 592 What is 289 minutes after 9:20 PM? 2:09 AM What is 667 minutes after 4:04 PM? 3:11 AM What is 592 minutes after 10:26 AM? 8:18 PM How many minutes are there between 5:14 AM and 1:22 PM? 488 What is 607 minutes before 2:12 AM? 4:05 PM How many minutes are there between 8:02 PM and 12:41 AM? 279 What is 508 minutes after 1:02 PM? 9:30 PM How many minutes are there between 10:33 PM and 9:20 AM? 647 How many minutes are there between
{ "pile_set_name": "DM Mathematics" }
0 = 5*u - 4*b - 9, 0*b - 2*b = a for u. 1 Let z = -15 - -29. Suppose -2*i + 5*i = 6. Suppose -4 = -i*h + 2. Solve -2*p = 2*k - z, 19 = 2*p + 3*p - h*k for p. 5 Let x = 4 - 4. Suppose x = 2*g, 3*m = -g + 8 + 1. Let q be (-4)/14 - 44/(-7). Solve -q = -3*n - m*s, -3*n + s = -6*n + 2 for n. 0 Let b be (-7)/(21/(-6))*10. Solve 20 = 3*s + 5*f, -2*s + 5*f - b = -0*f for s. 0 Let a(j) be the second derivative of j**4/12 + j**3/3 - j**2/2 + j. Let k be a(-3). Solve k*r + 18 = 5*c - r, 2*c + 4*r = 2 for c. 3 Let k = -11 - -27. Let a be (0 - 0) + 0 - 0. Solve -4*y - k = a, -u + 2*y = -3*y - 22 for u. 2 Suppose 2*f - 16 = -2*f. Suppose -q + 3*w - 270 = 2*q, -3*q + f*w = 268. Let g be 4/6 + q/(-6). Solve -3*n + 1 = g, -h = 2*n + 12 for h. -2 Suppose j - 1 = 1. Suppose -j*b = 3*w - 41 - 16, -3*w - 4*b = -57. Let t be (0/(-4))/(-1*2). Solve 5*z + 4*q + t = -w, -4*q - 4 = 0 for z. -3 Let n = 41 + -23. Suppose n = w + w. Solve f - 13 = -3*t - 0*t, -5*f = t - w for f. 1 Let o = 40 + -28. Solve c + 7 + 5 = 3*q, 2*c - 2*q + o = 0 for c. -3 Let h = 2 + 0. Suppose 5*c = h*c. Solve c*b + 6 = -2*t - 3*b, 0 = 3*b for t. -3 Suppose -2*m = 2*d, 4*m = -2*d + 3*d + 20. Suppose -40 = -m*k + 4*j + j, 3*k = 5*j + 35. Solve 4*a - 3*y = k*a, 0 = -5*a - 4*y for a. 0 Let k(b) = b**3 - 3*b**2 - b + 3. Suppose 5*r - 29 = -9. Suppose 3*h = -g + 6, g = 3*h - r - 8. Let c be k(h). Solve c*w + 2*w + 3*y = 0, 3*w = -5*y - 1 for w. 3 Let i be 7/((-14)/12) - -2. Let v = i - -9. Solve 5*s = s - 3*l - 1, 5*s - v*l + 45 = 0 for s. -4 Let h be ((-4)/5)/(2/(-10)). Suppose 0 = -5*f + i + 4, 0 = -4*f - i - 4*i - 20. Solve f = 3*w - h*g - 7, 4*g = -4*w - 17 - 11 for w. -3 Let v(i) = -i**2 - 10*i + 4. Let b be 40/6*(-18)/12. Let q be v(b). Solve -2*y - 12 = -3*f + 5, -25 = q*y - 3*f for y. -4 Let s = -9 + 11. Solve c = -5*n + 23, c - 3*c + 6 = s*n for n. 5 Let f be (10/(-4))/(1/(-6)). Solve 0*d - 8 = 4*d, -5*g - 5*d + f = 0 for g. 5 Suppose 2*r + 2*r = 0. Let l = r - -2. Suppose 6 = 3*b - 6. Solve -21 = 5*x + 2*h, 3*x - l*x - b*h + 13 = 0 for x. -5 Suppose 0*p + p + 4 = 0. Let q(w) = -w - 3. Let x be q(6). Let r = p - x. Solve 5*t = 4*k - 5, 2*t + t - 10 = r*k for t. -5 Let h(v) = v**2 - 5*v + 6. Let a be h(5). Suppose 0 = -2*p - 24 - 6. Let f be a/p - (-27)/5. Solve -d = -3*m, -2*m - 2 + 15 = -f*d for m. -1 Suppose 12*n + 5 = 13*n. Solve 0 = 2*k + n*a + 3, -2*a + 2 = 5*k - 1 for k. 1 Suppose 0 = 14*u - 11*u. Solve -4*n + 6*n = -8, u = -2*d - 2*n - 6 for d. 1 Let g be 5/20 + 19/4. Let h = 23 - g. Solve -f = -3, -3*t = -4*f - 0*f + h for t. -2 Let v(h) = -h**2 + 7*h + 2. Let r be v(7). Suppose 4 - r = 2*k. Solve 2*o = c - k, c + 22 = -3*c - 5*o for c. -3 Let t(k) = k**3 - 4*k**2 - 3. Let c(l) = 3*l**2 + 2. Let p(w) = 3*c(w) + 2*t(w). Let m be p(1). Solve -j + 2*q - m = -0, 0 = -2*q - 2 for j. -5 Let b be 2/(-8)*(-64)/8. Suppose -2*d + 2 + 10 = i, -3*d + 19 = b*i. Solve -i*m + 3 = z, -z - 3 = -2*z for m. 0 Let o = 1 + -1. Suppose o = -5*v + c + 19 + 66, -c = -2*v + 31. Let m be 8/36 + 50/v. Solve 5*j + b + 0 = m, 5*j - 4*b + 12 = 0 for j. 0 Let o(p) = p**2 - 1. Let y be o(-2). Let f be (-32)/(-5) - (-4)/(-10). Solve 4*r - 16 = 4*v, -y*v - f = -3*r - 6*v for r. 3 Suppose 5*d - 4*v - 32 = 0, 4*v - 19 = -4*d + 5*v. Let b = 1 + -3. Let t = b + d. Solve -4*j + t*c - 4 = -0, -2 = -c for j. 0 Let s be (-2)/4*(-11 + 5). Solve -s*c = -2*i + 25, 0*c - 3*i = 3*c for c. -5 Suppose -4*a = -7*a + 12. Let f(c) = 2*c**2 + 8*c - 20. Let v be f(2). Solve 5*l = -2*w - 33, 4*l - v*w + a = -0*l for l. -5 Let u(s) = 2*s + 1. Let h be u(1). Let t(j) = -4*j - 21. Let l be t(-6). Solve m + h = 2*p - 1, -l*m = -3*p for m. 4 Suppose 0 = 4*z - 0 - 8. Solve -4*g - 17 = -u - 9*g, -z*u - 26 = -5*g for u. -3 Let u be 8/(15/(-5) + 5). Solve -u*a + 7*a - o = 4, -a = o + 4 for a. 0 Suppose 6 = -3*s, -4*d + 4*s + 0 = -20. Suppose -d - 1 = -c. Solve -2*l = -4*b + c, 4*b - 7*b = 5*l - 29 for l. 4 Let v(o) = 2*o**3 + 3*o**2 + o + 1. Let x be v(-2). Let m be (x + 9)*5/4. Suppose -4*b + 10 = b. Solve 4*h + 7*w - 28 = 4*w, m*h = -b*w + 28 for h. 4 Let j be 7 + -3 - (1 - 0). Suppose 0*r = 3*r + 5*f - 10, 3*f = j*r + 6. Solve 5*i + 10 = -5*o, r = 3*i - 4*i + o - 2 for i. -2 Suppose 0*a - 8 = -2*a. Suppose 8*i = 61 - 13. Solve 0 = -p + a - i, -3*z = -5*p - 16 for z. 2 Let v be 2/2 + (2 - 3). Let b = 4 - v. Let l be (6/10)/(1/5). Solve -l*c + 4*c = -y - 1, 14 = b*c - 5*y for c. 1 Suppose -25 = -5*f + 5*j, 5*j - 5 = -15. Let t = 4 - 2. Solve 0*u - 3*u + t = -2*v, v - f*u + 7 = 0 for v. 5 Suppose 0 = 4*m - 0*m. Let p be 1/((-1)/(-6)) - m. Suppose -32 = -2*l - 2*l. Solve 2*x + p = 2*a, 5*a - 10 - l = 2*x for x. 1 Suppose m - 95 = -4*m. Let j = m - 16. Let a(l) = -l**3 + 6*l**2 + 3. Let q be a(6). Solve -q*h = b + 4*b + 17, -j*b + 17 = -5*h for h. -4 Suppose -9*l = -5*l - 8, 3*p = -4*l + 107. Solve -2*j = -5*d - p, -d - d = j + 6 for d. -5 Suppose 8 - 2 = 2*j. Solve -v + 20 = -j*c, 3*v + 2*v = 5*c + 50 for c. -5 Suppose -b + 15 = 4*b. Solve -2*j + 11 = -q - 5*j, b*q - 4*j = -7 for q. -5 Let i = -1 + 4. Suppose i*q = 2*h, 2*h + q = 3*q. Solve h = -3*o - 3*g + 2*g + 11, 2*o - g = 4 for o. 3 Suppose 0 = -7*p + 2*p + 175. Let k(u) = -3*u + 1 - u**3 + 6*u**2 + 2*u + 6 - 5*u. Let v be k(5). Solve 4*f + v*a - 9 + 39 = 0, -4*f - p = 3*a for f. -5 Let f be 34/8 + (-6)/24. Solve -3*l - 15 = 3*o, -f*l = -3*o + 5*o + 16 for l. -3 Let z be (48/(-56))/((-2)/28). Solve 2*b - 14 = -4*o, -2*o + 0*b - 2*b = -z for o. 1 Let j be (-390)/33 - (-4)/(-22). Let o = -8 - j. Solve -3*u + 3*k = 9, o*u - 3*k + 0 = -10 for u. -1 Suppose -5*y = -p - 21, 2*p + p + y = 17. Suppose -p*k = -7 - 1. Suppose 9 - 3 = k*t. Solve -4*o + 0*o - 5*i = -36, -4*o + 28 = t*i for o. 4 Suppose 0 = -n - 0*n + 2. Solve -4*w - 1 = -3*t - 0*t, t - n*w = -1 for t. 3 Let w(h) = -h**2 - 4*h + h**2 + 1 - h**2. Let r be w(-3). Suppose -r*o + 15 = -o. Solve 5 = -o*k + 4*m, 4*k + 3*m - 32 = -m for k. 3 Let p = -16 + 21. Solve 3*k + 3*c = 0, 0 = p*k + 2*c + 2 + 1 for k. -1 Let y(w) = -w + 1. Let k be y(-4). Let n = 60 + -51. Solve -o = 5*r + 22, 4 - n = 4*r + k*o for r. -5 Let q(a) be the first derivative of a + 2/3*a**3 + 0*a**2 + 1. Let o be q(1). Solve -2*s - 3*h - 2 = -4, -h - o = -3*s for s. 1 Let n(t) = -t + 2. Let s = 12 + -8. Suppose r - 4 = -5*m, 0*r - s*m = r - 2. Let h be n(r). Solve -3*g = -3*u, -2*g + 2*u + 2*u = h for g. 4 Let h(w) = w**2 + 11*w - 11. Let d be h(-12). Suppose -6 = -5*j + 4. Let i = j + d. Solve 0 = 3*a - 3*g + i, 3*a + a + 3*g = -11 for a. -2 Let r(z) = -z**3 + 5*z**2 - 4*z + 2. Let q = -4 - -8. Let l be r(q). Let f = 5 - 5. Solve 2*o + 1 = t, f = 2*o - 3*t + l + 5 for o. 1 Let r be (-24)/36*(-3)/2. Solve -2*c = -3*d + 19, 3*d = -3*c - 5 - r for d. 3 Let f be (-32)/80 + (16/(-10) - -2). Solve -2*k - 2*a - 18 = f, -a + 21 = -9*k + 4*k for k. -5 Suppose 1 = b + j - 1, b - 4*j - 7 = 0. Solve 3*a + 15 - b = -3*v, 3*v + 16 = -4*a for v. 0 Suppose -4*v = 19 - 7, -v = -4*f + 19. Suppose 10 = 3*b - 2. Suppose f*k = 12 - b. Solve -5*y = n - k*n - 13, 3*n - 2*y = 0 for n. 2 Let r = -7 - -31. Let g = -3 + 7. Suppose 3*t = 7*t + 5*i + 17, 0 = -2*t + g*i + r. Solve t*b - 5 = -3*n, -b = -2*n - 2*b + 5 for n. 5 Suppose -u - 14 = -5*p - 0*u, p + 3*u + 10 = 0. Solve -2*h = -p*g - 8 - 2, -4*g + 25 = 5*h for h. 5 Let m be (3 + 2/(-6))*3. Let w be (-10)/m*2*-32. Suppose 2*i - w = -3*i. Solve -4*s = -3*a, 4*s + a - i = -0*a for s. 3 Suppose 0 = -0*d + d - 18. Let x(h) = -h**3 - 3*h**2 - 3*h. Let u be x(-2). Let f be (-1)/((-3)/12*u). Solve -j - d = 2*c + 3*c, -f*c - 4*j = 0 for c. -4 Let t(p) = -5 + 0*p**2 - 3*p + 3*p**2 - 3 + 4. Let h be t(3). Solve 0 = -2*r - 4*u - 4, 2*u = -5*r + h for r. 4 Let a(k) = -k**2 + 7*k - 7. Let i be a(5). Let t = -65 - -44. Let c be 4/14 + (-99)/t. Solve -4*z + 8 = 4*m, 0*z - c*m = i*z - 12 for z. -1 Suppose 0*c = 2*c. Suppose -4*q + 9*q + 4*j = 21, -17 = -5*q - 3*j. Let f = -1 + q. Solve -s + c - 5 = 2*k, -s + 5 = f for k. -5 Let p(b) = -b - 3. Let z be p(-7). Let a(g) = g**2 + 5*g + 4. Suppose w + 1 = -4. Let o be a(w). Solve 0 = -3*h - z*c, 5*c - 5 = -9*h + o*h for h. 4 Let a(g) = -g**3 - 7*g**2 + 7*g - 8. Let p be a(-8). Suppose p = -2*q - x - 2*x - 1, -4*x - 16 = -q. Solve 2*v + 3*c = 13, 2*v - q*c + 2 = -6 for v. 2 Let w be 3 - 0 - 1 - 0. Suppose -g + 4 =
{ "pile_set_name": "DM Mathematics" }
)/((i/(i*i*i**1))**(3/7)*(i/i**(1/3)*i)**0) assuming i is positive. i**(-485/14) Simplify (a*a**(-1))**(-2/49)*a**(4/5)*a*a**(-3/5)*(a/a**(-1))**22/(a/(a**(2/7)/a)*(a/a**(-3/7))/a) assuming a is positive. a**(1507/35) Simplify (((u**2*u)/(u**(-4)*u))/((u/u**(-1/6))/(u**(3/4)*u)))/((u**0)**(-23/2)*(u/(u*u**(2/17)*u*u)*u*u)/u*u**(2/9)*u) assuming u is positive. u**(3965/612) Simplify (d**(1/2)/d)**(-1)/((d*d*d**(3/8)*d)/d*d**(1/3)*d)*(d**(-2/7))**(-39)/((d**2*d)/d*(d/(d**(-2/3)/d)*d)/d) assuming d is positive. d**(183/56) Simplify ((n*n**(23/4)*n*n)/n**(3/4)*(n/n**(1/2))/((n**12*n)/n))**11 assuming n is positive. n**(-77/2) Simplify ((q/q**(22/7)*q**19)/((q/(q/(q*q**(-9/2)))*q*q)/q)**41)**(-27) assuming q is positive. q**(-45117/14) Simplify (m**(2/5)/m*m)**(-34)/(m**(1/5)*m*(m*(m/m**1)/m*m)/m)*((m*m/(m/(m/(m**(-7)/m))))/(m*(m*m**3)/m*m))**(-5) assuming m is positive. m**(-199/5) Simplify ((k**11*k**(2/17))/(k*k**10)**(-5/6))**(24/11) assuming k is positive. k**(8276/187) Simplify ((r*(r**(-10)/r)/r*r*r*r)/r**(-1/4))**(-1/25)/((r*r**(1/4)*r*r)/r**4*(r**(-6)*r)/(r**(-6)*r)) assuming r is positive. r**(53/50) Simplify ((f/(f**(2/7)/f))**29)**6/((f*f*f*f*f/f**(-5))/f**(-3/2)*(f/f**(2/5))/(f*f**(-1/3))) assuming f is positive. f**(60239/210) Simplify ((h**0/h)**(-33))**21*(h**(2/13)/(((h**(-2/15)*h)/h)/h))/(h**0)**35 assuming h is positive. h**(135386/195) Simplify ((d**(1/2)/d*d*d)**28/((d/((d/(d*d**(2/5)))/d*d))/d)**(-22/9))/((d**2)**43)**(-38) assuming d is positive. d**(148994/45) Simplify ((h**(-11)*h*h/(h**(2/9)*h))/(h**(-15)*h)**28)**(2/13) assuming h is positive. h**(6872/117) Simplify (v**(-2/3)/(v*v/v**(-1/9)*v))**(1/11)/((v*v**0*v)**(-1/20)/(v**(-1/3))**(-21)) assuming v is positive. v**(6689/990) Simplify (q**(-1/36)*q**(-45))/(q**(-8/3)*q**32) assuming q is positive. q**(-2677/36) Simplify (k**(-2/5)/(k*k**(2/3)))**(1/5)*(k*k**1*k)**36/(k**(-2/13)*k**7) assuming k is positive. k**(98222/975) Simplify ((f/f**(-1/11))/(f/(f**(5/6)/f)))**(-3/8)/((f**(-2/7)*f*f**(1/4))/(((f/(f**(-2/5)*f*f))/f)/(((f**(-2/15)/f)/f)/f*f))) assuming f is positive. f**(-7439/18480) Simplify (s*s*(s/s**3)/s*s*(s**(1/3)/s)/s)**(-1/10)/(((s**(-6)/s)/s)/s*s*s/s**(-7))**(-14) assuming s is positive. s**(1/6) Simplify (p*p/(p**(3/2)/p*p))/p*p**(4/7)*p**5*p/(p/(p**(-2/21)/p))*p*(p**(-1))**41/((((p*p**1)/p)/p)/p*p)**(-36) assuming p is positive. p**(-1513/42) Simplify (v**(-13))**(-28)/(v**38*v**(7/2)) assuming v is positive. v**(645/2) Simplify (((f/((f*(f/f**(10/7))/f)/f*f))/(f*f**(1/24)))**(-3))**(-16) assuming f is positive. f**(130/7) Simplify ((j**(-5/4)/j**11)/(j**0*j**(7/5)*j*j))**(1/2) assuming j is positive. j**(-313/40) Simplify ((o**2)**(-2/25)/(o**(-15)*o)**(-2/3))**31 assuming o is positive. o**(-22072/75) Simplify ((b*b**(2/3))**(-6/19)/(b*b*b*(((b*b**0)/b)/b)/b*b*b**(-1/2)))/((b**(-2/3))**(-2/5)*b**4/(b*b*b**(-3))) assuming b is positive. b**(-4157/570) Simplify ((s**(-1/2)*s)/(s*(s*s**2*s)/s))/(((s*s**(-5))/s)/s**(-6))*((s/s**0)/s*s)**(4/13)*s*s/s**(-2/5)*s**3 assuming s is positive. s**(157/130) Simplify ((u**(2/33)*u)/u*u/(u/(u/((u/(u/(u**12*u)))/u))))/((u*u**(2/19))/(u**(-4)/u*u)) assuming u is positive. u**(-10060/627) Simplify (j/(j/(j/((j**(2/9)*j)/j))))**(-4/3)/(j**(-45)*j**29) assuming j is positive. j**(404/27) Simplify ((g**(2/15))**(6/11)/(g**14/g**10))**(-33) assuming g is positive. g**(648/5) Simplify (i/((i*i**5)/i)*i**(-4)*i)/(i**(-3)/i**7)*(i**4/(i*i**(1/6)))**(-2/139) assuming i is positive. i**(1234/417) Simplify (((r*r**2)/r)**46)**(-6/23)/(r**1/r**(-2/21)*(r**(2/5)*r)/(r*r**(-4/3))) assuming r is positive. r**(-939/35) Simplify (((u**1/((u**(1/7)*u*u*u)/u))**(-2/3))**(6/5))**(2/67) assuming u is positive. u**(64/2345) Simplify ((p**(8/7))**(2/7)*p**21*p**12)**35 assuming p is positive. p**(8165/7) Simplify ((q**(2/3))**(-36))**32*((q*q**(-8))/(q*q*q/(q*q**(-2/15))*q))/((q/q**(-2/3))/q*(q/q**(-3/4)*q)/q*q) assuming q is positive. q**(-15631/20) Simplify ((k/((k/k**(2/7))/k))**(3/8)/(k**(5/2)/(k**1/k)))/((k**(1/5)/(k*k**(-5)/k*k*k))/(k*k**4*k**(-4))) assuming k is positive. k**(-1181/280) Simplify (y**(-1)/y**9)/(y**(-3)*y**(-1/6))*(((y/((y/(y*y/(y*y**(-1/4))))/y*y))/y)/y**(-1/4))/(y**(2/7))**(-34) assuming y is positive. y**(71/21) Simplify ((c*c**(-1)/c*c)**(-2/81)*(c**0)**(-24/13))/((c**(-1/6)/c**(-6))/(c**0*c*c*c)**(1/3)) assuming c is positive. c**(-29/6) Simplify ((g**4/(g*g**(2/9)/g*g))/(g**(4/9)/g*g/g**(-2)))/(g**(-2)/(g**6*g)*(((g/(g**(1/3)*g))/g)/g*g*g)**(-23)) assuming g is positive. g**(5/3) Simplify (((n*n**32)/(n*n*n/(n*n**(-7/3)*n)*n))/(n/n**(-14))**(-20/7))**(-3/28) assuming n is positive. n**(-751/98) Simplify (p**(-1/9)/(p/p**(-2/5)))**39*((p**1)**(1/7))**(-14) assuming p is positive. p**(-914/15) Simplify ((w/(w*(w*(w*(w*w*w**3)/w)/w*w)/w*w)*w**(-1/3)*w)/(w**(2/5))**(-44))/(w/(w*w**(-3/4))*w*w/w**(1/5))**(1/11) assuming w is positive. w**(7943/660) Simplify (u**7*u**(-6))/(u**(-2)/u*((u/u**(-1/4))/u)/u)*(u**0/u)**(1/13)*(u*u**(3/2))/(u**(-2/15)/u) assuming u is positive. u**(6479/780) Simplify y**(-16)*y**(-1/5)*y*y*(y*y**37)/(y/y**25) assuming y is positive. y**(239/5) Simplify ((i/(i**(-2/11)*i*i))/i*i**(2/13))**(-40)*((i*i*i**(1/8)/i)/(i*i**(-1)*i))**21 assuming i is positive. i**(79163/1144) Simplify (((s**(-9)/s**(-1/28))**(-10/7))**(-5/8))**(-1/42) assuming s is positive. s**(6275/32928) Simplify (((v*v*v**(-3/2)*v)/(v*v**(3/17)))/(v**(4/3)/(v**(6/7)/v)))**(-1/2) assuming v is positive. v**(823/1428) Simplify ((((n*n**(-4/13))/n)/((n**(2/11)/n)/n*n))/(n**(4/9)*n/n**(-26)))**17 assuming n is positive. n**(-589288/1287) Simplify ((b/b**3*b)/b**(2/17))**49/((b**(1/7)*b)/b*b**(2/9)/b*b**(-3)/b*b*b/(b**(1/7)/b)*b) assuming b is positive. b**(-8260/153) Simplify (v/v**2*v/((v**(2/13)*v)/v)*v**(1/7)/v**(-3/5))/((v**(-2/9)*v)/v**(1/5)*v**(-1/4)/(v/(v*v*(v/((v**(2/5)*v)/v))/v)*v)) assuming v is positive. v**(10831/16380) Simplify (t*t**(-2)*t**(-2)*(t**0)**44)/((t*(t/t**5)/t)/t**(-3/5))**(-7) assuming t is positive. t**(-134/5) Simplify (p**(-21)*p**21*(p*p*p**(2/23)/p)**(-14/9))**(-2/43) assuming p is positive. p**(700/8901) Simplify (u**(8/9)*u*u/(((u**39/u)/u)/u*u))/(u**34/(u/((u*u**39*u*u*u)/u*u))) assuming u is positive. u**(-991/9) Simplify (t*t*(t*t/t**26)/t*t/(t*t**(1/17)/t)*t)/(t**31*t*t/t**(6/25)) assuming t is positive. t**(-22873/425) Simplify (p**(-6)*p**(-5/4)/p*p)**(-1/6)/((p*p**(-1/6))/(p*p**(-2/5))*(p**(-1))**35) assuming p is positive. p**(1439/40) Simplify (((h/(h**(-2/3)*h))/h)**(4/9)*(h**0)**(-4/13))/(h**(4/9)*h*h**(-1)/h*h*(h*h*h**(-2))/h*(h*h/(h*h*h/(h*h**(2/21)/h*h)))/h) assuming h is positive. h**(248/189) Simplify (((q*q**(1/4)*q**(1/23))/((q**(-11)/q)/(q/(q*q**(-1/6)/q))))**(-3))**43 assuming q is positive. q**(-171613/92) Simplify ((x/((x*x*x**(2/17))/x))/x**(2/7)*x**(5/4)*x*x/(x**(-4/3)/x)*x)/((x/x**(2/3))/x**(-5))**33 assuming x is positive. x**(-242503/1428) Simplify ((l/(l**7*l))/(l*l*l**(-1)))**(-1/9)/(l**(-2/9)/l*l**(-8))**19 assuming l is positive. l**(1585/9) Simplify ((s**(-2/65)*s*s**(-8/5)/s)/(s**(-19)*s*s**(3/2)))**34 assuming s is positive. s**(32861/65) Simplify ((y*y**(-2/3)/y)**(-3))**24/(y**1/y**(2/7)*y/(y/y**(2/13))*y**(-3)) assuming y is positive. y**(4562/91) Simplify (b/b**2)/b*b*b**(-1/7)*(b*((b/(b/b**(2/7)))/b*b)/b)**18*((b/(b*(b**2/b*b)/b))/(b/(b/(b**1/b))))**(-20/9) assuming b is positive. b**(56/9) Simplify (r*r**(-5/2)/r*(r*r**(4/7))/r)**(-48)/((r**(2/5)*r**(-5))/((r**(-1/5)*r)/r*(r**(-2)*r)/r)) assuming r is positive. r**(3324/35) Simplify ((l**39)**0*l**(-16)*l*l*l/(l*l/(l*l/(l**(-2/17)*l))))**(2/29) assuming l is positive. l**(-472/493) Simplify (x**(-5)/x**(-2/3))/((x/x**(-2/3)*x)/x**3)*(x**3*x)/x**(-4)*x/(x/x**(-2/3))*x**2 assuming x is positive. x**(16/3) Simplify ((u*u*u**(2/9)*u/(u*u**6))/((u*u**(2/9)*u)/u*u)**(-1/7))/(((u*u/((u*u*u**0)/u))/(u**0/u))/(u**(-8)*u*u/u**(-3/7))) assuming u is positive. u**(-695/63) Simplify (((j**4*j)/j)**18/(j*j/j**(-1/10)*j)**(-5/4))**(-2/11) assuming j is positive. j**(-607/44) Simplify ((h*(h*h*h/(h*h**(-1/3)))/h)**31/((h**(1/5)/h)/(h**(1/3)/h*h)))/((h*(h/(h/(h*h**(-7/2))*h)*h)/h*h)/h**(-6)*h**(-6)*h**2) assuming h is positive. h**(2189/30) Simplify (j**(-1/12)*j*j**(-39)*j/j**(-43)*j*j*j/((j**(-20)/j)/j))**(-7/11) assu
{ "pile_set_name": "DM Mathematics" }
s are there between 11:39 PM and 2:19 AM? 160 How many minutes are there between 3:57 PM and 3:17 AM? 680 How many minutes are there between 2:06 AM and 6:06 AM? 240 How many minutes are there between 3:02 PM and 8:25 PM? 323 How many minutes are there between 6:57 PM and 11:50 PM? 293 What is 439 minutes after 9:18 AM? 4:37 PM What is 670 minutes before 11:52 AM? 12:42 AM What is 372 minutes before 1:02 AM? 6:50 PM How many minutes are there between 12:27 PM and 1:11 PM? 44 How many minutes are there between 5:04 PM and 12:57 AM? 473 What is 691 minutes before 6:59 PM? 7:28 AM How many minutes are there between 7:59 AM and 8:53 AM? 54 How many minutes are there between 3:32 PM and 5:03 PM? 91 What is 605 minutes before 7:48 PM? 9:43 AM How many minutes are there between 3:27 AM and 7:40 AM? 253 What is 289 minutes after 10:40 PM? 3:29 AM What is 398 minutes before 2:46 AM? 8:08 PM What is 605 minutes after 11:25 AM? 9:30 PM What is 664 minutes before 11:23 AM? 12:19 AM What is 693 minutes before 9:29 PM? 9:56 AM What is 96 minutes after 4:47 AM? 6:23 AM What is 558 minutes before 3:14 AM? 5:56 PM How many minutes are there between 7:12 AM and 2:15 PM? 423 What is 547 minutes before 11:34 PM? 2:27 PM How many minutes are there between 9:00 AM and 9:19 AM? 19 How many minutes are there between 11:09 AM and 10:40 PM? 691 What is 704 minutes before 1:42 PM? 1:58 AM What is 677 minutes before 7:01 PM? 7:44 AM How many minutes are there between 4:25 AM and 5:19 AM? 54 How many minutes are there between 6:23 AM and 5:26 PM? 663 What is 324 minutes after 1:59 PM? 7:23 PM What is 457 minutes after 4:32 AM? 12:09 PM What is 685 minutes before 6:50 PM? 7:25 AM How many minutes are there between 10:30 AM and 6:54 PM? 504 What is 128 minutes after 4:57 PM? 7:05 PM How many minutes are there between 2:30 PM and 1:35 AM? 665 What is 702 minutes after 5:34 AM? 5:16 PM How many minutes are there between 7:47 PM and 8:37 PM? 50 What is 599 minutes before 10:28 PM? 12:29 PM How many minutes are there between 11:35 AM and 3:48 PM? 253 How many minutes are there between 8:30 PM and 7:31 AM? 661 What is 165 minutes after 5:34 AM? 8:19 AM What is 327 minutes after 7:20 PM? 12:47 AM What is 202 minutes after 3:17 PM? 6:39 PM How many minutes are there between 3:41 AM and 4:52 AM? 71 What is 11 minutes after 1:18 AM? 1:29 AM How many minutes are there between 7:34 PM and 7:23 AM? 709 How many minutes are there between 12:34 AM and 2:50 AM? 136 How many minutes are there between 5:10 AM and 5:48 AM? 38 How many minutes are there between 7:52 PM and 7:21 AM? 689 How many minutes are there between 7:41 PM and 7:02 AM? 681 How many minutes are there between 8:18 AM and 3:14 PM? 416 How many minutes are there between 2:15 PM and 5:02 PM? 167 What is 669 minutes before 11:41 AM? 12:32 AM How many minutes are there between 3:41 PM and 11:19 PM? 458 How many minutes are there between 8:44 PM and 11:06 PM? 142 What is 517 minutes before 8:01 AM? 11:24 PM How many minutes are there between 10:33 AM and 5:18 PM? 405 What is 252 minutes after 1:15 AM? 5:27 AM What is 62 minutes before 4:35 PM? 3:33 PM What is 715 minutes after 12:00 PM? 11:55 PM What is 42 minutes after 4:57 AM? 5:39 AM What is 558 minutes after 2:08 PM? 11:26 PM What is 90 minutes after 10:28 AM? 11:58 AM What is 588 minutes after 4:37 PM? 2:25 AM How many minutes are there between 1:59 AM and 12:04 PM? 605 What is 576 minutes before 5:34 PM? 7:58 AM How many minutes are there between 2:43 AM and 11:33 AM? 530 What is 315 minutes before 10:16 PM? 5:01 PM How many minutes are there between 10:32 PM and 9:15 AM? 643 What is 625 minutes before 7:28 PM? 9:03 AM What is 209 minutes after 11:23 AM? 2:52 PM What is 439 minutes after 2:51 PM? 10:10 PM What is 127 minutes before 9:16 AM? 7:09 AM How many minutes are there between 2:29 PM and 2:56 PM? 27 What is 300 minutes after 6:16 AM? 11:16 AM How many minutes are there between 4:31 PM and 6:31 PM? 120 How many minutes are there between 8:59 PM and 8:15 AM? 676 What is 223 minutes after 5:47 PM? 9:30 PM How many minutes are there between 6:59 PM and 8:30 PM? 91 What is 217 minutes before 1:12 AM? 9:35 PM How many minutes are there between 7:31 AM and 9:34 AM? 123 What is 401 minutes before 12:24 PM? 5:43 AM How many minutes are there between 10:26 PM and 1:30 AM? 184 What is 244 minutes before 3:53 AM? 11:49 PM How many minutes are there between 3:41 AM and 1:52 PM? 611 What is 317 minutes before 5:58 PM? 12:41 PM What is 132 minutes before 8:07 PM? 5:55 PM How many minutes are there between 4:16 AM and 3:03 PM? 647 What is 458 minutes before 2:09 PM? 6:31 AM How many minutes are there between 6:34 AM and 7:18 AM? 44 What is 667 minutes before 10:06 PM? 10:59 AM How many minutes are there between 3:51 AM and 10:19 AM? 388 How many minutes are there between 9:56 PM and 8:21 AM? 625 How many minutes are there between 11:36 PM and 12:47 AM? 71 What is 255 minutes after 10:35 AM? 2:50 PM What is 420 minutes before 11:40 PM? 4:40 PM How many minutes are there between 6:13 AM and 6:40 AM? 27 How many minutes are there between 6:27 PM and 4:37 AM? 610 What is 291 minutes after 1:22 PM? 6:13 PM What is 702 minutes before 12:57 AM? 1:15 PM How many minutes are there between 11:56 AM and 6:42 PM? 406 What is 76 minutes after 6:05 PM? 7:21 PM What is 127 minutes before 8:28 PM? 6:21 PM How many minutes are there between 6:00 PM and 7:41 PM? 101 How many minutes are there between 6:58 AM and 2:51 PM? 473 What is 148 minutes before 6:38 PM? 4:10 PM How many minutes are there between 10:01 AM and 9:20 PM? 679 What is 235 minutes before 2:20 AM? 10:25 PM How many minutes are there between 7:22 AM and 6:59 PM? 697 What is 33 minutes after 11:00 PM? 11:33 PM What is 9 minutes after 7:00 AM? 7:09 AM How many minutes are there between 1:58 AM and 10:09 AM? 491 What is 703 minutes after 10:20 AM? 10:03 PM What is 592 minutes before 10:54 PM? 1:02 PM What is 552 minutes after 11:49 AM? 9:01 PM What is 41 minutes after 4:08 PM? 4:49 PM How many minutes are there between 6:12 PM and 11:07 PM? 295 What is 429 minutes before 8:51 PM? 1:42 PM What is 249 minutes before 12:54 PM? 8:45 AM How many minutes are there between 10:04 PM and 6:04 AM? 480 How many minutes are there between 3:50 AM and 2:10 PM? 620 How many minutes are there between 7:22 AM and 9:04 AM? 102 How many minutes are there between 1:26 AM and 3:48 AM? 142 How many minutes are there between 7:13 PM and 12:08 AM? 295 How many minutes are there between 7:37 PM and 7:56 PM? 19 How many minutes are there between 11:10 AM and 1:05 PM? 115 What is 298 minutes before 12:37 AM? 7:39 PM How many minutes are there between 11:21 AM and 2:58 PM? 217 What is 152 minutes after 4:47 AM? 7:19 AM What is 277 minutes before 11:05 PM? 6:28 PM What is 123 minutes after 7:53 AM? 9:56 AM What is 33 minutes before 3:38 AM? 3:05 AM What is 402 minutes before 5:33 PM? 10:51 AM How many minutes are there between 3:06 AM and 3:46 AM? 40 What is 609 minutes after 3:14 AM? 1:23 PM What is 702 minutes after 1:11 PM? 12:53 AM How many minutes are there between 9:24 PM and 8:26 AM? 662 How many minutes are there between 2:40 AM and 11:43 AM? 543 What is 89 minutes before 6:37 PM? 5:08 PM What is 97 minutes after 10:20 AM? 11:57 AM What is 517 minutes before 6:40 PM? 10:03 AM What is 661 minutes after 8:03 AM? 7:04 PM What is 35 minutes after 11:34 PM? 12:09 AM What is 121 minutes before 7:04 PM? 5:03 PM How many minutes are there between 5:59 AM and 1:00 PM? 421 What is 482 minutes after 11:56 AM? 7:58 PM What is 528 minutes after 10:08 PM? 6:56 AM How many minutes are there between 7:10 AM and 3:10 PM? 480 How many minutes are there between 6:08 PM and 4:54 AM? 646 How many minutes are there between 4:47 PM and 11:43 PM? 416 How many minutes are there between 1:39 PM and 3:11 PM? 92 What is 700 minutes before 3:27 AM? 3:47 PM How many minutes are there between 11:28 PM and 6:29 AM? 421 What is 704 minutes after 7:20 AM? 7:04 PM What is 249 minutes before 9:43 PM? 5:34 PM What is 327 minutes after 4:56 PM? 10:23 PM What is 71 minutes before 9:43 PM? 8:32 PM How many minutes are there between 10:33 AM and 3:37 PM? 304 How many minutes are there between
{ "pile_set_name": "DM Mathematics" }
-0.6 Let x = -23.5 + 23.5. Which is the third biggest value? (a) -1 (b) x (c) -13 c Let p = 143.28 + -142.88. Let h = -1.5 + 1. What is the second smallest value in 1/2, 2, h, p? p Let j = -1/388 + -1547/1940. What is the second biggest value in j, 1, -13? j Let h = -0.1786 - -0.6786. Let l = 3.9 + 0.1. Which is the fourth smallest value? (a) -0.5 (b) h (c) -0.2 (d) l d Let j = 82 + -40. Let z = j - 52. Which is the third smallest value? (a) 0.1 (b) -4 (c) z a Let t = 35 - 40. Let x be 4/(20/t)*0. What is the smallest value in x, -2/13, -1? -1 Let k = -56 - -65.5. Let y = k - 11.5. What is the smallest value in -0.2, y, -2/5? y Let n = 290 - 287. Let u be (1/(-10))/(2/(-5)). Which is the fourth smallest value? (a) u (b) n (c) -0.3 (d) 1/2 b Let v = -2.9 + 3. Let h = -0.52 - -0.2. Let z = 3.68 - h. Which is the second smallest value? (a) z (b) v (c) 5 a Suppose 21 = 5*h - h - w, 5*h - 5*w = 15. Suppose -70 = -42*p + 7*p. Which is the third smallest value? (a) -0.2 (b) h (c) p (d) -1 c Let z be 2 + 1/33*-106. Let y = 5/11 - z. Suppose 6*p + 3 = 9*p. Which is the second smallest value? (a) y (b) 5 (c) p a Let r = -1726548/1063601 + -1/13813. Let n = -21/11 - r. Let w = -11257 + 11261. Which is the third biggest value? (a) 1 (b) n (c) w b Let k be (2 + 1)/(36/(-24)). Let h be k/(-7) - 536/1288. Let g = h - -93/184. What is the third smallest value in 1, -2, g? 1 Let l be 0 + (-14)/10 + 1. Let h = 2675 + -2674. Which is the second biggest value? (a) h (b) l (c) 5 a Let n = 8.5 + -4.4. Let d = n - 3.1. What is the second smallest value in -1/9, 3, d? d Let i = -4/91 + 103/273. Which is the second smallest value? (a) i (b) 8 (c) -5 (d) -3/8 d Let m = -2590 - -2589.5. Which is the third biggest value? (a) 4 (b) 22 (c) m (d) -10 c Let j = -0.8 + 0.2. Let u = 2.44 + -1.74. Let t = u + j. Which is the third biggest value? (a) -6 (b) 0.5 (c) t a Let d = -28 + 25. Suppose -3*r - 31 + 259 = 0. Let z be -2 + r/(-84) - d. Which is the third smallest value? (a) z (b) -3 (c) 4/5 c Let s = 10.8 - 10. Let u = -82.8 + 83. Let h = u + s. Which is the third biggest value? (a) 0.3 (b) 3 (c) h a Let k be 1/(-1 - 0/3). Let s be k/((-10)/4 - -2). Let n be ((-294)/(-1029))/((-2)/(-14)*4). Which is the smallest value? (a) s (b) n (c) 0.03 c Let v = 236.57 - 237. Let q = 0.47 - 0.5. Let l = q - v. What is the second biggest value in l, -3/2, 0? 0 Let x = 0.58 + -0.6. Let a = -2.02 - x. What is the second smallest value in 0.3, 1, a, -4? a Let d = 0.68 - 0.18. Let k = -1.5 - d. Which is the third biggest value? (a) k (b) -7 (c) 5 b Let v be (-42)/18 - -1 - (-18)/27. Let c = -2.93 - 0.07. What is the smallest value in -5/4, c, v? c Let u = 8.669 - -0.331. Which is the biggest value? (a) 1/4 (b) u (c) 5 b Suppose -3*h = 2*h - 25. Let f be (4/(-6))/(h/(-15)). Which is the third smallest value? (a) 4 (b) -1 (c) f (d) -2 c Let p = 0.162 - -4.838. Which is the second smallest value? (a) p (b) -3 (c) 1/2 c Let m = -452 - -456. What is the third smallest value in -2/7, -2, m, -5/2? -2/7 Let v = 734409/209 - 3514. Let q = -255/13 + 4910/247. Let i = v + q. Which is the third smallest value? (a) -3 (b) i (c) 0 b Let v = -38 + 35. Which is the second smallest value? (a) v (b) 2 (c) -1/10 (d) 2/7 c Let i = 2314 + -2311. Which is the third biggest value? (a) 109/2 (b) -0.4 (c) i b Let b = -374 - -378. What is the third smallest value in 0.2, 5, b, -3/16? b Suppose -4*f - 5*b = -17, 5*f + 6*b + 30 = 10*b. Let i be 6/306*-3*f. Let k = -2.9 - -3. What is the second biggest value in k, 9, i? i Let o = 3 + -11. Let r = o + 7.5. Let g = -1 - r. Which is the smallest value? (a) g (b) 0.4 (c) -1 c Suppose 2*g + 11 = -3*t - 3, 0 = 4*g - 4*t + 8. What is the fourth smallest value in 3, -5/4, 0, g? 3 Let g = 48.63 + -49. Let o = -0.03 + g. Let k = 1 + 0. What is the third smallest value in k, o, 2/3? k Let h be 2*2/28*(-7)/6. What is the second biggest value in 2/11, h, -0.7, -4? h Suppose -31 = 9*h + 41. Let g = 0.5 - 2.5. What is the second biggest value in -1/8, h, g? g Let j = -25.48 - -25.98. Let o = -7 - -10. Which is the smallest value? (a) o (b) j (c) 0.19 c Let p = -1/1046 + -2087/5230. What is the smallest value in -4, -6, p? -6 Let p = -16 - -15.6. Which is the fourth smallest value? (a) -2 (b) 1 (c) 0 (d) p b Let h = 153 + -153.75. Let y = -1.55 + h. What is the biggest value in -0.4, 0.4, y? 0.4 Let y be 92/(-22) - (-4 + (3 - 3)). Which is the third biggest value? (a) -3 (b) 3.7 (c) y a Let v = -17219/35 - -2512/5. Let z = -69/7 + v. Which is the biggest value? (a) -0.4 (b) 0.1 (c) z (d) -0.1 c Let t be ((-26)/4 - -6)*-82. Which is the second smallest value? (a) t (b) -0.1 (c) -2/9 b Let k = 23.7 - 11.9. Let n = -12.1 + k. Let x be 0 + -7*1 + 0. Which is the second smallest value? (a) 2 (b) x (c) n c Let y = 53.5 - 53.4. What is the smallest value in -3/5, -3, y? -3 Let h be (-24)/20*100/(-30). Which is the second smallest value? (a) h (b) 1/3 (c) -33 (d) 2/9 d Let s = -0.13 + 0.53. Let k = -173 - -172.5. Which is the second biggest value? (a) k (b) s (c) -3 (d) 7 b Let f be ((-2)/4)/(26/(-8)). Let y = 0.055 + 1.945. What is the second biggest value in y, f, 10? y Let z = -2.012 - -1.012. Which is the second biggest value? (a) -0.084 (b) z (c) 1/3 (d) -2 a Let v = 0.0573 + 1.9427. What is the third smallest value in -2/17, v, 0.1, -2/9? 0.1 Let g = -0.75 - -1. Let t = g + -0.05. Let r be 9/(54/28) - 1/(-3). Which is the third biggest value? (a) t (b) 3/8 (c) r a Let f = 31.2 - 31. Let d = 3.7 + -3.65. Let s = 0.45 - d. What is the third smallest value in 4, f, s? 4 Let x = -79/2 - -1339/34. Which is the second biggest value? (a) x (b) 2.5 (c) 2/3 c Let n be 0 - 249/(-9)*-1. Let q = n + 28. What is the third biggest value in -3, -0.03, q? -3 Let s = -4382 + 4380. Suppose j - 1 = -3. Let m = 2 - j. What is the third biggest value in s, m, -0.5? s Let j = 2169/11 - 197. What is the third smallest value in j, -1/6, -0.1, 0.2? j Let n = -0.0269 + -1.9731. Let s = -10.2 + 9. Which is the smallest value? (a) n (b) s (c) 3 a Let i = 4.94 - -0.06. Let k = -2 + 4. Let c = 1 + k. What is the biggest value in -4, c, i? i Let u(q) = -2*q - 6. Let j be u(-3). Let v = -2 - -2.05. What is the second biggest value in v, j, 1? v Let x = 0.1 - 0.9. Let y = -70 + 69.79. Let s = -0.41 - y. What is the smallest value in -1/4, s, x? x Let x = -0.24 - -0.2. Let z = 1.96 - x. Suppose 7*q - 10*q - 18 = 3*f, 0 = -f + 5*q + 12. Which is the third biggest value? (a) 3 (b) z (c) f c Let g = -481/958 - -1/479. Which is the third smallest value? (a) -7 (b) -4 (c) g (d) -3/4 d Let w = 18.3 - 1.3. Let o = w + -17.2. What is the smallest value in o, -0.3, 0.24? -0.3 Let o be 6 + 3/(-5 - -2). Suppose 4*i = i + 33. Let s = -8 + i. What is the third smallest value in o, s, 0.4? o Let n(i) = -57*i - 1. Let f be n(-1). Let b be ((-15)/12)/(11/f). Let p = -711/110 - b. What is the biggest value in -5, p, 18? 18 Let p be 182/(-49) - (4 - 52/14). Let l = 20 - 31. Which is the biggest value? (a) l (b) -4/5 (c) p (d) -2 b Let m be (-1)/4 - (-239)/28. Let v = 211/28 - m. What is the smallest value in -0.2, 0, -1/2, v? v Let y = 3 + -2.7. Let p = 0 + y. Let a = -20 + 20. What is the third smallest value in 4, p, a? 4 Let a(d) = -d**3 + d**2 + d + 5. Suppose 0 = -3*n + 11*n. Let b be a(n). What is the third smallest value in -1/6, -2, b? b Let r(i) = 3*i - 4. Let w be r(-8). Let l be 1/w + (-2)/8. Let g = 3 - 5. Which is the biggest value? (a) -4 (b) l (c) g b Let w = 14 - 14.4. Let i = 2.4 + w. Let z = 4 + i. What is the smallest value in z, 0.1, -0.5? -0.5 Let f = 196 + -208. Let b(i) = i**3 + i - 3. Let h be b(0). Let o be 8/f + (-8)/h. What is the biggest value in 2/5, o, 0.2? o Let r = 16 - 11. Let q = 3726/7 + -532. What is the second biggest value in r, -6, q? q Let i = 2/16023 + -421943/32046. Let t = i + 13. Which is the biggest value? (a) -1/2 (b) -0.7 (c) t c Let s = 82.1 + -87. Let g = -0.8 + 1.7. Let i = g + s. What is the third biggest value in 4, i, -1? i Let o = -126.61 + 151.5. Let f = o - 25. Let b = f - -0.14. What is the third biggest value in b, 3, 0.4? b Let j = -2/47 + 67
{ "pile_set_name": "DM Mathematics" }
*z + 6054. Determine l(-29). 22 Let f(x) = 4*x**3 + 23*x**2 - 44*x - 222. What is f(-6)? 6 Let p(n) = -512*n + 10232. What is p(20)? -8 Let p(t) = 11*t - 47. Give p(-23). -300 Let v(n) = -n**2 - 420*n - 42952. Calculate v(-244). -8 Let u(i) = 45*i - 426. What is u(12)? 114 Let h(z) = 9*z - 170. Calculate h(15). -35 Let q(h) = -161*h + 1443. Give q(9). -6 Let v(i) = 189*i**2 - 1669*i + 4. Give v(9). 292 Let o(c) = c**3 + 9*c**2 + 5*c - 43. Determine o(-4). 17 Let w(a) = 2*a**3 - 7*a**2 + 29*a - 100. What is w(4)? 32 Let s(j) = -19*j - 854. What is s(-37)? -151 Let l(j) = j**3 + 14*j**2 + 15*j + 33. What is l(-13)? 7 Let g(l) = -l**3 + 119*l**2 - 178*l + 7084. What is g(118)? 4 Let x(j) = -2*j**3 - 156*j**2 + 655*j + 6. Calculate x(4). 2 Let u(c) = -4*c - 27. What is u(-7)? 1 Let w(z) = -17*z**2 + 7*z - 38. What is w(4)? -282 Let j(r) = -10*r + 7. Give j(29). -283 Let n(a) = -a**3 + 23*a**2 - 59*a + 61. Calculate n(20). 81 Let f(a) = 2*a**2 + 190*a + 3820. Give f(-29). -8 Let z(o) = 2*o**3 + 244*o**2 + 1166*o - 15. What is z(-5)? 5 Let j(v) = -5*v**2 - 5*v + 90. What is j(7)? -190 Let f(d) = -4*d**3 - 7*d**2 - 40*d - 36. What is f(-4)? 268 Let u(k) = -119*k - 125. Determine u(-1). -6 Let h(f) = -13*f**2 + 1997*f + 2769. Determine h(155). -21 Let o(f) = -f**3 - 30*f**2 - 12. Determine o(-30). -12 Let i(l) = -10*l + 36. Determine i(11). -74 Let b(c) = -c**2 + 26*c - 151. What is b(17)? 2 Let c(m) = 27*m**3 - 7*m**2 - 4*m + 3. Determine c(-1). -27 Let z(f) = 5*f**2 - 41*f + 4. Calculate z(7). -38 Let r(h) = -h**3 - 64*h**2 + 10*h + 628. Give r(-64). -12 Let o(g) = g**2 - 41*g + 663. What is o(25)? 263 Let w(z) = 3*z**3 + 21*z**2 + 26*z + 13. Calculate w(-7). -169 Let f(r) = 101*r + 422. Calculate f(-4). 18 Let q(y) = 2*y**3 + 6*y**2 - 7*y - 52. What is q(-4)? -56 Let i(f) = -14*f + 407. Give i(29). 1 Let g(d) = -30*d - 724. Calculate g(-31). 206 Let x(o) = -o + 33. Give x(5). 28 Let o(f) = 2*f**2 - 27*f - 123. Give o(11). -178 Let r(y) = 1293*y + 19410. Calculate r(-15). 15 Let d(a) = -a**3 - 11*a**2 - 102*a - 1376. Determine d(-12). -8 Let r(f) = 19*f**3 - 112*f**2 + 122*f - 9. Give r(1). 20 Let w(j) = -148*j - 1790. Give w(-12). -14 Let c(k) = 41*k - 406. What is c(10)? 4 Let g(q) = -2*q**3 - 4*q**2 + 26*q + 29. Calculate g(-6). 161 Let c(f) = -90*f - 1185. Give c(-13). -15 Let q(w) = -w**2 + 147*w + 906. Determine q(-6). -12 Let m(t) = -2*t**3 + 10*t**2 - 26*t + 126. Give m(5). -4 Let w(n) = 10*n**2 + 4*n + 7. Calculate w(-3). 85 Let r(g) = 3*g**3 + 56*g**2 - 22*g - 172. Give r(-19). -115 Let p(o) = -1016*o - 16206. Give p(-16). 50 Let l(z) = 198*z + 6131. Determine l(-31). -7 Let l(v) = 34*v - 233. Determine l(10). 107 Let c(r) = 7*r**2 - 538*r - 539. Give c(-1). 6 Let o(r) = -2*r**3 + 10*r**2 + 13*r + 13. Calculate o(7). -92 Let y(i) = 323*i - 1294. Give y(4). -2 Let c(b) = -b**3 + 296*b**2 - 290*b - 1469. Give c(295). 6 Let l(p) = p**3 - p**2 + 11*p + 159. Calculate l(0). 159 Let r(t) = -2*t**2 + 20*t + 27. Determine r(7). 69 Let x(q) = -1969*q - 7852. Give x(-4). 24 Let t(p) = p**3 + 8*p**2 + 3*p + 31. Give t(-8). 7 Let j(k) = -882*k + 5299. Give j(6). 7 Let o(y) = 904*y - 9044. Calculate o(10). -4 Let d(b) = -6*b**3 + 15*b**2 - 47*b - 45. What is d(5)? -655 Let v(f) = 2*f**3 + 529*f**2 - 790*f + 2125. Determine v(-266). -3 Let d(s) = 11*s - 381. Give d(37). 26 Let w(t) = -239*t + 31067. Calculate w(130). -3 Let l(b) = b**3 - 21*b**2 + 4*b + 265. Calculate l(20). -55 Let t(w) = -45*w**2 - 570*w + 209. Determine t(-13). 14 Let p(t) = t**3 - 20*t**2 + 30*t + 76. Give p(18). -32 Let b(h) = h**3 + 11*h**2 - 6*h + 21. Determine b(-10). 181 Let a(k) = 992*k - 99. What is a(1)? 893 Let i(v) = -v**2 - 15*v + 140. Determine i(7). -14 Let x(q) = q**3 - 12*q**2 + 33*q - 36. Determine x(9). 18 Let u(c) = 18*c - 1444. Determine u(83). 50 Let m(r) = -66*r + 858. Determine m(16). -198 Let a(i) = 75*i + 1965. Calculate a(-24). 165 Let q(y) = 21*y**2 + 682*y + 46. What is q(-32)? -274 Let s(l) = -13*l - 85. What is s(-5)? -20 Let g(a) = -a**3 + 8*a**2 + 84*a + 145. What is g(-4)? 1 Let q(v) = -v**3 - 9*v**2 - 23*v - 32. Determine q(-4). -20 Let a(x) = -35*x**2 - 981*x - 31. What is a(-28)? -3 Let c(k) = -k**3 - 24*k**2 - 86*k - 26. Determine c(-19). -197 Let j(s) = 532*s - 38826. Calculate j(73). 10 Let g(z) = 3585*z - 21505. What is g(6)? 5 Let m(n) = -n**3 + 8*n**2 + 5*n + 34. Give m(10). -116 Let t(p) = -407*p + 2886. Determine t(7). 37 Let p(v) = -v**3 + 11*v**2 - 8*v + 28. Determine p(8). 156 Let o(y) = -14*y - 9. Calculate o(1). -23 Let u(f) = 2*f**3 + 6*f**2 - 42*f + 6. What is u(-6)? 42 Let b(q) = 9537*q + 66744. Determine b(-7). -15 Let i(y) = 196*y + 3721. Give i(-19). -3 Let h(m) = -6*m + 435. Determine h(65). 45 Let q(m) = -m**3 - 3*m**2 + 55*m - 143. Determine q(3). -32 Let r(y) = 116*y - 517. What is r(4)? -53 Let s(j) = -51*j + 509. What is s(12)? -103 Let c(x) = 18*x**2 + 177*x - 80. Calculate c(-9). -215 Let i(o) = -o**2 - 23*o - 223. What is i(-27)? -331 Let b(c) = 126*c - 68. Calculate b(2). 184 Let d(t) = 149*t - 918. What is d(6)? -24 Let l(u) = -u**3 - 8*u**2 + 6*u - 38. What is l(-9)? -11 Let v(u) = -2*u**3 - 9*u**2 - 8*u + 14. Calculate v(-5). 79 Let b(w) = -w**2 - 30*w + 204. Determine b(6). -12 Let c(k) = -2277*k - 6880. What is c(-3)? -49 Let c(t) = 1625*t + 27558. What is c(-17)? -67 Let n(t) = -t**3 - 39*t**2 - 153*t - 315. What is n(-35)? 140 Let y(z) = 5*z**2 + 126*z + 433. Give y(-4). 9 Let s(x) = -9*x**2 - 53*x + 18. What is s(-6)? 12 Let a(f) = 3*f**2 - 35*f - 428. What is a(-7)? -36 Let l(x) = -x**3 - 116*x**2 + 241*x + 616. What is l(-118)? 26 Let w(t) = t**3 - 17*t**2 - 21*t + 26. What is w(18)? -28 Let s(o) = 2*o**3 + 18*o**2 + 9*o + 64. Determine s(-6). 226 Let g(q) = 7*q**2 - 116*q - 2. Calculate g(17). 49 Let k(h) = 10*h**2 + 3*h - 2. What is k(-2)? 32 Let d(n) = -n**3 + 18*n**2 - 21*n + 44. Determine d(17). -24 Let i(h) = 2*h**3 - 11*h**2 + 14*h - 73. What is i(5)? -28 Let t(i) = i**3 - 17*i**2 - 34*i + 41. Determine t(18). -247 Let u(b) = 10614*b - 212283. Determine u(20). -3 Let n(o) = o**3 - 121*o**2 + 958*o + 458. Determine n(9). 8 Let y(c) = 2*c**2 + 20*c - 42. What is y(-10)? -42 Let a(w) = -25*w**2 + 135*w + 17. What is a(5)? 67 Let h(j) = 2*j**2 + 80*j - 262. What is h(-43)? -4 Let l(y) = y**3 - 40*y**2 - 1045*y + 56. Determine l(58). -2 Let p(t) = -68*t**2 + 1716*t - 392. Calculate p(25). 8 Let a(r) = -4*r**3 - 28*r**2 + 2*r + 25. Calculate a(-7). 11 Let x(z) = -238*z + 2871. Determine x(12). 15 Let g(w) = 11*w**2 + 954*w + 72. Determine g(-87). 333 Let c(r) = -r**3 + 2*r**2 + 53*r - 225. Calculate c(6). -51 Let j(d) = -5*d**3 - 2*d**2 - 28*d + 30. Calculate j(1). -5 Let u(i) = 88*i + 38. Calculate u(1). 126 Let r(l) = -l**3 + 76*l**2 + 1060*l + 39. What is r(-12)? -9 Let i(z) = z**2 - 32*z - 299. Determine i(-7). -26 Let o(x) = -2*x**2 - 24*x - 144. Determine o(-18). -360 Let n(v) = v**2 - 450*v - 2724. Give n(-6). 12 Let z(a) = 5943*a - 196123. What is z(33)? -4 Let i(b) = 25*b**2 - 206*b + 23. What is i(8)? -25 Let w(g) = g**3 + 10*g**2 + 745*g + 6600. What is w(-9)? -24 Let q(r) = 86*r - 109. Give q(4). 235 Let t(g) = -g**3 + 18*g**2 - 61*g + 70. Calculate t(9). 250 Let x(l) = 465*l - 2331. What is x(5)? -6 Let u(m) = -2*m**2 - 132*m - 366. Give u(-63). 12 Let a(w) = -w**3 + 180*w**2 + 3*w - 310. Determine a(180). 230 Let v(b) = 182*b + 14570. Determine v(-80). 10 Let o(z) = 17*z**2 - 3*z - 6. Give o(2). 56 Let m(u) = u**3 + 50*u**2 + 11*u - 1864. Determine m(-49). -2 Let p(m) = 361*m - 1100. What is p(3)? -17 Let j(x) = 2*x**2 + 22*x + 40. Calculate j(-16). 200 Let y(z) = z**3 - 12*z**2 - 32*z - 23. What is y(13)? -270 Let k(i) = -i**3 + 54*i**2 + 61*i - 394. Calculate k(55). -64 Let n(q) = 2*q**2 + 5*q - 134. Calculate n(7). -1 Let x(u) = u**3 - 26*u**2 + 152*u + 216. Calculate x(14). -8 Let m(x) = -x**3 + 52*x**2 + 140*x - 7270. Give m(52). 10 Let o(b) = -3*b**2 - 28*b + 4. Calculate o(-9). 13 Let k(s) = s**3 - 36*s**2 + 305*s + 53. Give k(14). 11 Let r(a) = -a**2 + 47*a + 269. Give r(-12). -439 Let s(y) = 16*y**2 - 41*y + 165. Determine s(6). 495 Let r(o) = 15*o + 824. Calculate r(-70). -226 Let m(s) = -s**3 - 63*s**2 - 57*s + 88. Calculate m(-62). -222 Let b(a) = -a**2 + 180*a - 7615. Calculate
{ "pile_set_name": "DM Mathematics" }
ultiple of 102? False Is 32187684 a multiple of 625? False Is 146 a factor of 817057039? False Is 971852640 a multiple of 12? True Does 1544 divide 288571929? False Is 426012644 a multiple of 327? False Is 2083 a factor of 139449197? False Is 287476205 a multiple of 47? True Does 33 divide 171597929? False Is 168 a factor of 16040136? True Is 143 a factor of 1342649451? True Is 20551200 a multiple of 800? True Does 36 divide 294668049? False Does 15 divide 432769295? False Is 56 a factor of 258552? True Is 11673432 a multiple of 30? False Is 356 a factor of 124166748? True Does 1215 divide 97853680? False Is 1129351 a multiple of 16? False Is 713 a factor of 11468046? False Is 58708816 a multiple of 382? True Does 16 divide 1351356400? True Is 904 a factor of 133321920? True Does 12 divide 1213288632? True Is 20 a factor of 76389? False Does 26 divide 5746792? False Is 1778 a factor of 150404015? False Is 31 a factor of 8336613? True Is 34 a factor of 24609615? False Is 32671389 a multiple of 1563? True Does 11 divide 232970980? True Does 197 divide 4751707? False Is 105 a factor of 15729420? True Is 10832330 a multiple of 415? True Is 49004421 a multiple of 23? True Is 320475289 even? False Is 939 a factor of 126708660? True Does 577 divide 1082053293? True Is 146967834 a multiple of 78? True Does 114 divide 48893688? True Is 1474262694 a multiple of 21? False Is 35646629 a multiple of 24? False Is 2471565312 a multiple of 4608? True Is 307 a factor of 61537504? False Does 622 divide 616370900? True Is 1544670010 a multiple of 2630? True Does 277 divide 293828581? True Is 707709635 a multiple of 37? False Does 33 divide 78536634? True Is 1507983127 a multiple of 13? False Is 53930636 a multiple of 1660? False Does 5 divide 1395059660? True Is 1063 a factor of 83748590? False Is 1163757379 a multiple of 232? False Is 108471992 a multiple of 160? False Is 1249 a factor of 646300605? False Is 721542882 a multiple of 223? False Is 4640629 a multiple of 11? False Does 299 divide 197872519? True Does 81 divide 9300906? True Does 2000 divide 477358000? True Is 15 a factor of 421287780? True Is 135 a factor of 129806018? False Does 4 divide 7586294? False Is 590209323 a multiple of 388? False Does 10 divide 449919130? True Is 723809327 a multiple of 54? False Does 55 divide 78299045? True Is 54 a factor of 3194209667? False Is 15755902 a multiple of 886? False Does 638 divide 496789546? True Is 14 a factor of 3460045190? True Is 628135096 a multiple of 167? True Is 529239542 a multiple of 4004? False Does 17 divide 1858457? True Does 564 divide 233323381? False Is 117 a factor of 550719? True Does 9 divide 30639? False Does 87 divide 1250692164? True Is 2244 a factor of 238021478? False Is 395547780 a multiple of 45? False Is 22 a factor of 24327534? True Is 5109 a factor of 2982756921? False Is 9 a factor of 640785997? False Is 6873 a factor of 1673542850? False Does 385 divide 37976785? True Does 11743 divide 204915350? True Is 151 a factor of 1309658324? False Is 2108 a factor of 93548852? False Does 746 divide 108932618? False Is 22 a factor of 373293034? False Is 2 a factor of 65318754? True Is 2090 a factor of 154076890? True Is 118226054 a multiple of 151? True Does 14 divide 201200734? True Is 1009135424 a multiple of 3687? False Is 861 a factor of 75754224? True Is 139 a factor of 2957756? False Does 24 divide 100221632? False Is 1825 a factor of 387564482? False Is 54 a factor of 13254286? False Is 3739 a factor of 281618096? False Does 142 divide 3002397962? False Does 39 divide 641595786? True Is 6180 a factor of 652974770? False Does 157 divide 84138655? True Does 1007 divide 300095027? False Is 5 a factor of 38033955? True Is 87784792 a multiple of 20? False Is 24 a factor of 4767361? False Does 9 divide 139069522? False Is 5 a factor of 3777154? False Does 22 divide 279993868? True Is 4 a factor of 261125670? False Is 1815 a factor of 742938570? False Does 4 divide 49292148? True Is 17 a factor of 4398116312? False Is 135169128 a multiple of 164? True Is 15614823 a multiple of 1337? True Does 4242 divide 63825132? True Is 76873992 a multiple of 39? True Does 1151 divide 40256661? False Is 39 a factor of 229340740? False Is 29034855 a multiple of 3? True Is 665 a factor of 765573935? True Does 612 divide 346898423? False Does 26 divide 1668247214? False Does 17 divide 31376985? True Is 332524320 a multiple of 380? True Is 413 a factor of 10428250? True Does 26 divide 1265726850? False Is 181 a factor of 105801173? False Does 157 divide 2252793? True Is 97809189 a multiple of 237? True Is 17 a factor of 2544907? False Does 413 divide 4095366833? False Does 2335 divide 4694447412? False Is 627 a factor of 193255442? False Is 514649335 a multiple of 372? False Is 388 a factor of 229009628? True Is 2081896193 a multiple of 32? False Is 15570984 a multiple of 1352? True Does 3 divide 218681118? True Is 211 a factor of 373679303? False Does 81 divide 62686467? True Does 1278 divide 153360479? False Does 3203 divide 189222009? False Is 21424875 a multiple of 1767? True Is 41 a factor of 494156272? True Does 353 divide 135680845? True Does 8 divide 69920664? True Is 251330762 a multiple of 797? True Is 28662179 a multiple of 13? True Does 2199 divide 5875745592? True Does 1773 divide 344157630? False Does 112 divide 1223470? False Does 23 divide 17448329? True Is 493 a factor of 2623746? True Does 3051 divide 508266090? True Is 66391584 a multiple of 6? True Is 771911617 a multiple of 69? False Does 20 divide 213305160? True Is 218 a factor of 1819322637? False Is 4548306191 a multiple of 13? True Does 50 divide 228215664? False Is 23 a factor of 56145130? False Does 648 divide 11021184? True Does 2624 divide 1116443776? True Is 1208 a factor of 799946430? False Is 1299920 a multiple of 80? True Is 389462156 a multiple of 137? False Does 11772 divide 1067991401? False Is 5504155712 a multiple of 6898? False Does 8 divide 588743733? False Is 242 a factor of 11826056? True Is 5087002 a multiple of 23? True Is 11 a factor of 11303226? True Is 15364401 a multiple of 620? False Is 366650220 a multiple of 102? True Is 35 a factor of 4867660? True Is 107 a factor of 258224277? True Does 2482 divide 51925922? True Does 22 divide 598511738? True Does 143 divide 458248505? True Is 435899618 a multiple of 3157? True Is 2864685309 a multiple of 19? True Does 28 divide 93000376? True Is 11 a factor of 1103855968? False Is 132 a factor of 33097812? True Is 17 a factor of 72026326? False Is 21 a factor of 1487048409? True Does 273 divide 348621? True Is 13757103 a multiple of 9? True Does 2275 divide 38016045? False Is 45 a factor of 626282849? False Does 78 divide 2979819148? False Is 7719960 a multiple of 63? False Is 390159960 a multiple of 218? False Is 3719 a factor of 3007237? False Does 26 divide 26117624? True Is 226 a factor of 277663? False Is 338385952 a multiple of 11? False Does 195 divide 5675045? False Is 41357004 a multiple of 17? False Is 99 a factor of 187928928? True Is 33 a factor of 244177737? False Is 68 a factor of 1044056504? False Does 2751 divide 43790418? True Is 415 a factor of 573399690? True Is 6376 a factor of 20479447? False Is 504 a factor of 261788304? False Does 68 divide 31514818? False Is 857 a factor of 20646844? True Does 8 divide 629059088? True Is 519585015 a multiple of 10? False Does 22 divide 297074? False Does 396 divide 633204? True Is 109479290 a multiple of 43? True Does 11 divide 8232862? True Does 16 divide 44738512? True Does 29 divide 454002888? True Is 718196012 a multiple of 83? True Is 560599404 a multiple of 10? False Does 493 divide 30532969? True Is 384 a factor of 2023921920? True Is 342 a factor of 28644870? False Is 1051631716 a multiple of 67? False Does 298 divide 53181990? False Does 2 divide 11558138? True Is 6045 a factor of 837945339? False Does 227 divide 106846535? False Is 37 a factor of 190819147? False Is 1108 a factor of 67771928? True Does 198 divide 21112146? True Is 425442534 a multiple of 66? True Is 143688340 a multiple of 7? False Is 2195522368 a multiple of 832? True Is 53 a factor of 9787139? True Is 452421799 a multiple of 2568? False Is 109 a factor of 31702432? True Is 22
{ "pile_set_name": "DM Mathematics" }
-31592700 What is the first derivative of -r**4 - 18*r**3 - 3414*r + 9525693 wrt r? -4*r**3 - 54*r**2 - 3414 What is the third derivative of -605215387*o**5 + 15*o**2 - 17569816*o wrt o? -36312923220*o**2 Find the second derivative of j*r*s**2 + j*r*s - 31*j*s + 4*r*s**2 - 6722*r - 23432*s**2 wrt s. 2*j*r + 8*r - 46864 Differentiate -98286466*i**3 + 230147135 wrt i. -294859398*i**2 Find the third derivative of 2*w**5 - 5695757*w**4 + 4*w**3 - 5661*w**2 - 8046. 120*w**2 - 136698168*w + 24 What is the second derivative of 668*t**5 - 28*t**3 - 48*t**2 + 19924913*t? 13360*t**3 - 168*t - 96 Find the second derivative of 5263406*o**3 + 2*o**2 + 14287*o + 474. 31580436*o + 4 Differentiate -2*c**3*y - 874579*c**3 + 502*c**2*y + 56*c**2 + 14519*c*y wrt y. -2*c**3 + 502*c**2 + 14519*c Find the first derivative of -6996998*i**4*u**2 - 2*u**2 + 83682*u + 4 wrt i. -27987992*i**3*u**2 What is the second derivative of -8930936*h**2 - 12*h + 5904 wrt h? -17861872 Find the first derivative of -7386058*z**3 - 18363869 wrt z. -22158174*z**2 Find the second derivative of 16651191*u**2 + 346342*u. 33302382 Find the second derivative of -68*l**5 - 917855*l**3 + 4546197*l + 27 wrt l. -1360*l**3 - 5507130*l Find the second derivative of 2*u**3 + 2380913*u**2 - 434*u - 8332. 12*u + 4761826 Find the first derivative of 22*p**4 - 21556*p**3*t**3 + 3*t**3 + 707294*t**2 - 1 wrt p. 88*p**3 - 64668*p**2*t**3 Differentiate 18*h**2 + 847745*h + 155481450 wrt h. 36*h + 847745 What is the second derivative of -662*a**3*b**2*g - 15588*a**3*g**2 + 8*a*b**2*g**2 + 4*a*b**2*g - a*g + 2*b**2*g**2 + b*g - 1564*g**2 wrt a? -3972*a*b**2*g - 93528*a*g**2 What is the second derivative of -343286804*w**2 + 1113*w + 35813? -686573608 Find the second derivative of -243547*a**3*w**2 + 43439330*a**3*w - 4*a**3 + 63*a*w**2 + 10*w**2 wrt w. -487094*a**3 + 126*a + 20 What is the second derivative of -37366261*u**3 + 303577305*u wrt u? -224197566*u What is the third derivative of -425211488*k**3*s**2 + 2*k**2*s - 11*k*s**2 + 4*k - s**2 - 30123*s wrt k? -2551268928*s**2 What is the second derivative of 6*j*p**4 + 2934946*j*p**2 - 380056*j*p - 27*j wrt p? 72*j*p**2 + 5869892*j What is the second derivative of 435*r**5 - 25*r**4 - 7572254*r wrt r? 8700*r**3 - 300*r**2 What is the second derivative of -177087115*p**4 + 154437576*p wrt p? -2125045380*p**2 Find the third derivative of -87927252*f**5 - 41854*f**2 - 226*f + 2. -5275635120*f**2 Find the second derivative of -3*o*q**2 + 5*o*q - 13*o - 75597279*q**2 + 30434*q + 8 wrt q. -6*o - 151194558 Find the third derivative of -2334597*r**3*x**3 + r**2*x**3 - 81*r**2*x**2 + 39*r**2 - 70*r*x**2 wrt r. -14007582*x**3 What is the derivative of 59825051*a**2 - 17824759 wrt a? 119650102*a Find the third derivative of -158427238*q**4 + 134*q**2 + 585065*q. -3802253712*q What is the first derivative of 8733253*a*s*u + 2355521*a*u**2 + 2*a*u - 4*a - 17*s*u**2 - 2*u**2 - 3*u - 1 wrt s? 8733253*a*u - 17*u**2 What is the derivative of -6*p**4 - 23424*p**3 + 56*p**2 - 37834938 wrt p? -24*p**3 - 70272*p**2 + 112*p What is the third derivative of -100*i*t**4 - 10751263*i*t**2 + 8*i*t + 212219*t**4 wrt t? -2400*i*t + 5093256*t What is the second derivative of -20210836*a**2 - 24166338*a? -40421672 Differentiate 158*n**4*y - 362*n**3*y**3 + 825*y**3 - 17392 with respect to n. 632*n**3*y - 1086*n**2*y**3 What is the second derivative of 2*i**5 - 7466118*i**2 + 14514019*i wrt i? 40*i**3 - 14932236 Find the third derivative of 10074889*p**4 + 10303635*p**2 wrt p. 241797336*p Find the third derivative of -5567*b**5 + 118*b**4 + 20*b**3 + 681*b**2 + 12638*b - 1 wrt b. -334020*b**2 + 2832*b + 120 What is the third derivative of 1435710*u*x**4 - 2*u*x**3 - 23881000*u*x - 5*x**3 + x**2 wrt x? 34457040*u*x - 12*u - 30 Find the third derivative of 14930687*b**6 + 32*b**2 + 77447*b. 1791682440*b**3 What is the first derivative of -89002000*u + 173550810 wrt u? -89002000 Differentiate -811905*m**2 - 5813584 with respect to m. -1623810*m Find the second derivative of -3943*o**5 + 2985*o**3 + 2*o**2 + 22362913*o. -78860*o**3 + 17910*o + 4 Find the second derivative of -2*r**5 + 1581*r**4 - 838*r**2 + 6032638*r. -40*r**3 + 18972*r**2 - 1676 What is the second derivative of -3657565*b**3*f**3 + 1080*b**3*f + 4*b**2*f**3 - 50*b*f - 17*b - 4 wrt f? -21945390*b**3*f + 24*b**2*f What is the derivative of 8*g*l*n - 8274266*g*l + 1707*g*n - 2*l*n - 2*n wrt n? 8*g*l + 1707*g - 2*l - 2 Find the third derivative of -7863815*k**6 - k**2 + 685*k + 64206. -943657800*k**3 What is the second derivative of -5833182*w**3 + w**2 - w - 2749654? -34999092*w + 2 What is the derivative of -118308433*r**3 - 420441273 wrt r? -354925299*r**2 What is the derivative of -15*c*y + 113986970*c + 1720359*y**4 wrt y? -15*c + 6881436*y**3 Differentiate -378*i**4*k**3 + 3047*i**2*k**3 - 8964362*k**3 with respect to i. -1512*i**3*k**3 + 6094*i*k**3 What is the third derivative of -4*c**5 + 35599*c**4 + 11*c**3 - 6*c**2 + 210*c - 48? -240*c**2 + 854376*c + 66 Find the third derivative of 13*c**3*g - 6662031*c**3 - 3*c**2*g + 1408*c**2 - 23*c*g - 8*c - 11*g wrt c. 78*g - 39972186 Differentiate -507543794*k**3*x**2 + 231*k**3 - 85504 with respect to x. -1015087588*k**3*x Find the third derivative of -60698425*k**3 + 3*k**2 - 278*k + 969. -364190550 What is the third derivative of -196157*i**6*m + 244*i**6 - 19*i**2 - 62*i*m + 2922*m wrt i? -23538840*i**3*m + 29280*i**3 Find the second derivative of 351598*b**3 + 189*b**2 + 118634757*b - 2 wrt b. 2109588*b + 378 What is the derivative of -316260*b**4 - 10*b**2*k + 267167474*k wrt b? -1265040*b**3 - 20*b*k Find the third derivative of 6324706*d**3 - 2162*d**2 + d + 92 wrt d. 37948236 Differentiate -665293030*u - 136071338. -665293030 Find the second derivative of -o**2*y + 56746087*o**2 - 82*o*y - 3*o + 439228*y wrt o. -2*y + 113492174 Find the second derivative of 7619403*t**3 + 3790881*t. 45716418*t What is the second derivative of -3*b**2*n**2*x - b**2*n*x + 11*b**2*x + 20*b**2 - 889323*b*n**2*x - 84*b*n - 3*b + n wrt n? -6*b**2*x - 1778646*b*x Find the second derivative of 218822*h**5 - 19*h**3 - 496591267*h. 4376440*h**3 - 114*h What is the derivative of s**3 - 9804*s**2 - 12*s - 812642 wrt s? 3*s**2 - 19608*s - 12 Find the second derivative of 4*j*k**2*l*t + 300*j*k**2 + j*k*l + 820883*j*l - 41*k**2*t**2 + 4*k**2 + 2*k*l - 4*t**2 wrt k. 8*j*l*t + 600*j - 82*t**2 + 8 Find the first derivative of 8*b**3*c - 5*b**3 + 103*b**2*s + 11*b*c*s - 349*c*s - 1752*s - 2 wrt c. 8*b**3 + 11*b*s - 349*s Find the second derivative of 2173737*k**2*q**3 - 3*k**2 + 2*k*q - 160*k - 281*q wrt q. 13042422*k**2*q What is the second derivative of -267502749*x**2 + 1955*x + 38510 wrt x? -535005498 Find the third derivative of -31932*j*q**3 - 103250*j*q**2 + j*q + 2*j + 4*q**4 - 3*q**3 - 2*q**2 + 2 wrt q. -191592*j + 96*q - 18 Find the first derivative of 74732712*h**2 + 5671936 wrt h. 149465424*h Find the first derivative of 21700455*j - 4730822 wrt j. 21700455 Find the third derivative of -982078*o**4 + 11*o**3 + 922926*o**2 - 13 wrt o. -23569872*o + 66 Differentiate -581951*t**3 + 7*t**2 - 24*t + 683610156 with respect to t. -1745853*t**2 + 14*t - 24 Find the third derivative of -35034*n**3*s*v**3 + 1366*n**3*s - 2*n**2*s*v**2 + 2*n**2*s + n*s*v**3 - 12*n*s*v - 2*n*v**3 + 25*s*v**3 + 518 wrt n. -210204*s*v**3 + 8196*s Find the third derivative of 337705357*c**2*r**3 + c**2*r**2 - 12*c**2 - 2*c*r**3 + 13*c*r**2 - 214507*c - r**3 wrt r. 2026232142*c**2 - 12*c - 6 Find the second derivative of 5031*i**3*t**2 - 66434*i**3*t + 25*i**2*t - 8689*i*t**2 wrt t. 10062*i**3 - 17378*i What is the first derivative of 173175229*r + 57688025? 173175229 Find the second derivative of 57077684*r**2 - 163632*r + 63 wrt r. 114155368 What is the derivative of -63222228*a*h + 5499*a - 9049 wrt h? -63222228*a What is the third derivative of -233240872*y**6 + 296014481*y**2 wrt y? -27988904640*y**3 Find the third derivative of -2*d**2*f**5 - 105*d**2*f**2 + 54275*d**2*f + 113926*f**3 wrt f. -120*d**2*f**2 + 683556 Differentiate 5*j*k**2 + 6090*j*k + 20884677*j - 22*k**2 - 2*k with respect to k. 10*j*k + 6090*j - 44*k - 2 What is the third derivative of 428525768*h**2*t**3*u**2 + h**2*t*u + 100065*h*t**2*u**
{ "pile_set_name": "DM Mathematics" }
pose 9 = 6*h - h - 3*k, 0 = h + 4*k + 12. Suppose h = d - 40 + 35. Solve -4*z + d = -f for z. 3 Let l(a) = a**2 - 2*a - 19. Let c be l(-5). Let i be 8 + 5/((-20)/c). Let r = -6 + 8. Solve r*k + i = k for k. -4 Suppose 12*y + 2034 = 3*y. Let m = 227 + y. Solve u = m - 0 for u. 1 Let v = -229 - -272. Suppose -t - v = -47. Solve -10*x - t = -6*x for x. -1 Let b be -4 - (-6 - (-3)/1). Let j be 36/8*(3 - b). Suppose -5*i + 3*i = -4*p + j, 5*p = 4*i + 15. Solve -p*c - 20 = -2*c for c. -4 Let x = 1602 + -1582. Let m(k) = -k - 1. Let o be m(-7). Solve -o*v + x = -v for v. 4 Let y be (8 - 5) + -2 + (1 - 3). Let j(f) = -f. Let m be j(-1). Let l be 49/(-14)*y/(m/2). Solve -l*p + 4*p - 12 = 0 for p. -4 Let i be (-98)/(-12)*(-270)/(-630)*(-32)/(-14). Suppose z - 9 = 4*z, 5*z = -5*t - 15. Solve -i*j - j = t for j. 0 Suppose 2*d = -2*g + 198, -111*g - 203 = -2*d - 112*g. Solve d*m = 79*m + 225 for m. 9 Suppose 4*t + 52 = 3*l, -3*t = -3*l - 0*l + 54. Suppose -10 = -3*y - 2*y. Let f(m) = -m**2 - 6*m + 3. Let q be f(-6). Solve -l = -q*w - y*w for w. 4 Suppose -3*r = -478*p + 479*p - 145, -5*p + 137 = 3*r. Solve -r*u - 58 = -9 for u. -1 Let v be 3 + (3 - (2 - -1)). Suppose 5*o - v*c - 92 = 0, -2*c + 5 - 77 = -4*o. Suppose -5*j + j + 16 = 5*y, o = 4*j. Solve y = 2*w - 0*w - 6 for w. 3 Suppose -462 = -s - 20*s. Let d be 2/(-1) - (6/(-3) + -6). Solve -d*b = s - 4 for b. -3 Suppose 5*p - 4*i = 100, 7*p - 105 = 2*p + 5*i. Let s(n) = 154 - 215*n - 10 + 229*n + 155. Let o be s(-21). Solve -o*m = -m - p for m. 4 Suppose -27*p + 9*p - 108 = -30*p. Solve -p*t + 66 = 2*t for t. 6 Let k(c) = 27*c**2 + 795*c + 2372. Let r be k(-3). Solve 34 = -247*v + r*v for v. -2 Let m(d) = d**3 - 26*d**2 - 27*d + 1. Let t be m(27). Let q be 0/((-72)/6*t/(-6)). Solve j - 51 + 49 = q for j. 2 Let y be 4/(-8)*((-5 - -11) + -8). Suppose 3*t + 17 = q, 7 = -2*t - 3. Suppose 4*w = -g - 4 + 24, 20 = 4*w + q*g. Solve w + y = 3*d for d. 2 Suppose 4 = -102*m + 104*m. Suppose -2*u + j + 2 = 0, -m*j + 4 = 2*u - 10. Solve -2*s = -1 + u for s. -1 Suppose 42*b + 12*b = 7*b + 1034. Solve 2 - b = -4*d for d. 5 Let s be 4/58 + (-36372)/(-2436). Solve -4*g = -s + 3 for g. 3 Let r(d) = 4*d - 5*d - 5 - 1. Let x be 130/(-16) - (-1)/8. Let j be r(x). Solve j + 3 = -i for i. -5 Let w(v) = 3*v**2 + 3*v + 3. Let i be w(-1). Suppose -3*y + 5*q = -0 + 6, y + i*q = 12. Solve 3*s = -y*s for s. 0 Let j be (-70)/(-18) + 4/36. Let u(z) = z**3 - 58*z**2 + 400*z + 2. Let r be u(50). Solve 2 = j*a - r*a for a. 1 Let o(p) = -9*p - 27. Let l be o(-6). Let v be (1 - (-2)/(-3))/(3/l). Suppose -5*i + 13 = -k, v*i + 3*k + 7 = 2*i. Solve i*a = -9 - 1 for a. -5 Suppose 2*x = -5*t - 795, 2*t + 144 + 174 = 5*x. Let l = t + 159. Solve 0 = 8*h - l*h - 24 for h. 3 Let k(a) = 154*a - 3521. Let j be k(23). Solve 19*g + 93 = -j for g. -6 Let j = -11565 + 11637. Solve 63*l - j*l = 0 for l. 0 Let a(x) = 54*x + 324. Let q be a(-3). Solve -51*c + 9 = q for c. -3 Let l = -15 + 18. Suppose -3*o = 4*d - 17, 0*d + d + 2*o = l. Suppose 0 = n - d, 2*z = -z + n + 22. Solve i = -2*i + z for i. 3 Suppose -2*x + 162 = -5*x. Let q be (-152)/(-6)*x/(-72). Solve -h + 16 = q for h. -3 Let k be ((-32)/(-24))/((-2)/(-42)). Solve -k = 5*v - 38 for v. 2 Let o be (9 + -5)/4 - 48/(-6). Solve -14 = y - o for y. -5 Let f(c) = c**2 + 13*c + 12. Let p(w) = -2*w**2 + 3*w + 7. Let t be p(4). Let q be f(t). Suppose y = 4*j + q, -y + j = -0*y - 9. Solve 4*a - y = 6*a for a. -4 Let v(q) = -q**2 + 22*q - 54. Let t = -277 + 296. Let j be v(t). Solve j*u - 11 - 1 = 0 for u. 4 Let i be (240/(-54) - -4)/((-2)/18). Suppose 5*w - 3*z = 44, i*w + z - 18 - 24 = 0. Solve u - 14 = -w for u. 4 Let a be (-1380)/(-483) + (-1)/(-7). Suppose 3*j = -0*j - 9, 5*y = j + a. Solve 0*g + 3*g = y for g. 0 Suppose f = s - 2 + 5, -f + 4 = 0. Suppose m + s = 5. Let c be (-135 + 133)/((-2)/10). Solve -m*v + 6 = c for v. -1 Let m be -1 + 0 - 67283/(-61). Solve -m*x = -1099*x + 12 for x. -4 Let v(u) = -4*u**2 + 17*u + 323. Let c be v(-7). Solve c*m + 162 = 146 for m. -2 Let f(h) = h**2 + 9*h + 23. Let d be f(-3). Suppose d*a = -268 + 273. Solve 2*w + 3 + a = 0 for w. -2 Let m be (((-12)/(-11))/(-3))/((-10)/55). Suppose -t + 12 = m*t + 4*n, -3*t + 3*n = -12. Solve t = 3*r - r for r. 2 Suppose -2183*i + 2187*i = 44. Solve i*j + 24 = -j for j. -2 Let p(l) = l**3 + 26*l**2 + 6*l - 343. Let k be p(-25). Solve -11*z + k = 11*z for z. 6 Suppose 4*z + 6 = 3*k - 12, -30 = -z - 5*k. Solve z = -79*v + 85*v - 6 for v. 1 Suppose 4*o = w - 6, -48*w - 5*o = -43*w - 5. Suppose 27 - 104 = -5*y + 2*z, -40 = -3*y - 5*z. Let q be (-2 - (1 - 3)) + y. Solve w*n - 7*n + q = 0 for n. 3 Let w = -2 - -4. Let f(h) = 9*h + 82. Let i = 145 + -154. Let p be f(i). Solve w*c - p = c for c. 1 Let t = -1154 + 632. Let j = t - -529. Solve 0 = j*b + 2*b - 9 for b. 1 Let r be ((-2)/8)/(3487136/(-129152) + 27). Solve r*v = 1002*v - 35 for v. -5 Let c be (-15 + (-8 - -18))/(-1). Solve -c*o = 19*o + 96 for o. -4 Let g(y) = 774*y - 23203. Let f be g(30). Solve -f*i + 15 = 151 for i. -8 Let z = 122 + -109. Suppose 180 = -4*k + z*k. Suppose 5 = 5*t, 4*t + 6 = 4*p - 6. Solve -h - p*h + k = 0 for h. 4 Suppose -3*d = 3*y - 27, 3*d + 40 = 3*y + 19. Solve -21 = -y*s - 5 for s. 2 Suppose -250 - 554 = -43*w - 245. Solve -w*r + 2*r - 66 = 0 for r. -6 Let c(i) = i + 10. Let a(x) = -3*x + 1. Let n be a(7). Let q be ((-14)/10 - -1)/((-1)/n). Let v be c(q). Solve -2 = 3*m - v*m for m. -2 Let q be ((-7)/3)/(-1*15*7/945). Solve q*u + 72 = -12 for u. -4 Let f = -8521 - -8646. Solve -6*x = 19*x + f for x. -5 Let c(u) = 3*u**2 - 17*u + 10. Let h(v) = -4*v + 47. Let a be h(-12). Suppose -g - 90 = -a. Let y be c(g). Solve -4*z + 1 - 5 = y for z. -1 Let s be (-4)/14 - 736/(-224). Let b be 40/(((-16)/12)/(-2)). Let l be (-3 - 1)/((-24)/b). Solve 0 = 2*w + s*w + l for w. -2 Let l = 94 + -94. Suppose -5*u = -3*k + 91, l = u + 3*u + 2*k + 64. Let o be 1*3 - (u + 20). Solve o = -4*w - 0*w for w. 0 Let m be 19/323 - (-372)/34. Solve m*d - 250 = -184 for d. 6 Let s = 4 - -3. Suppose 4*k - 20 = -4*j, 2*j - 23 = -4*k - 1. Solve -k*v = -s*v for v. 0 Suppose -11 = -n - 4*p, -4*p - 8 = 4*n - p. Suppose -4*w = 2*w + 300. Let y be ((-6)/n)/((105/w)/(-7)). Solve 4*x + y = 8 for x. 1 Suppose 2*k + 164 = 4*c, 7*k - 4*k - 74 = -2*c. Solve 52*i = 60*i + c for i. -5 Let a be 98/21 + (-2)/3. Suppose -77 = -a*p - 49. Solve -p*o + 1 = -13 for o. 2 Suppose -t - t = -30. Let y be (4/(-10))/(39/(-1170)). Solve 7*f = y*f - t for f. 3 Suppose -17*s + 1381 - 1075 = 0. Solve -51 = s*k + 39 for k. -5 Let h be -55*9/105 + 5 + 94/14. Solve 172 = h*o + 36*o for o. 4 Suppose 60 = 27830*h - 27825*h. Solve h + 6 = 9*j for j. 2 Suppose -5*m - 3*o + 44 - 13 = 0, m - 1 = 2*o. Let u(w) = -5*w - 21. Let g be (-35)/14*(0/(-2) - -2). Let z be u(g). Solve 0 = m*i - 11 - z for i. 3 Suppose -5 + 5 = -119*k + 42*k. Solve 369*y - 360*y - 45 = k for y. 5 Let r = -53227 + 53241. Let b(o) = -o + 15. Let n be b(8). Solve -n*u - r + 7 = 0 for u. -1 Suppose 2*a + 0*a - 92 = 4*z, 2*z - 3*a = -54. Let j be 4/2 + -24*7/z. Solve 3*m - 10 = -j for m. 0 Let i(o) = -7*o - 62. Let b be i(-9). Let l be (14 - 12) + 4 + 1/b. Solve 0 = f - 4 + l for f. -3 Suppose 5*i - 3*j + 22 = 0, i - 2*i = 5*j - 18. Let f = 2 + i. Let h = -80 - -80. Solve f = -h*u - 2*u + 6 for u. 3 Let j = 192 + -188. Let r = j - -6. Solve 0 = -r*l + 5*l for l. 0 Suppose 0 = -4*w + r + 21, 0*w + 3*w + r = 7. Suppose 5*v = -3*y - w, y + 2*v - 3 = -5. Solve 0 = d + y for d. -2 Suppose -2470 = 74*q - 228*q - 314. Solve -11*t + q = 47 for t. -3 Suppose u = 11 - 10. Let g be (15/20)/(u/4). Solve 4*m = m - g for m. -1 Let m = -24 + 31. Let f(h) = -3*h + 19. Let y be f(m). Let b be 0/(y - -4)*1. Solve b = 3*z + 6 - 21 for z. 5 Let u = 33 - 28. Suppose u*j + 0 = -0. Suppose 5*b - 21 = 4*y, -b + 10*y - 5*y = 0. Solve -b*r - 15 = -j*r for r. -3 Let h = -800 + 440. Let c be ((-9)/(-8))/(-3) - 3375/h. Suppose -v = 5*m - 12 + 2, 3*m + 2*v - 6 = 0. Solve -q - m*q = c for q. -3 Suppose -61 = -5*l - r, 2*r + 1 = 3. Suppose 2*d = -4*g + l, -g - 24 = -3*d - 6. Solve x = 2 - d for x. -4 Let m = 159 - 129. Let w be (-6 - (-168)/m)*(-6 - -1). Solve w*i = 6*i for i. 0 Suppose 2 = 2*v, -5*i + 6*v = v - 10. Suppose -4*r + 55 - 13 = i*m, -4*r = 0. Suppose -m*n + 4 = -12*n. Solv
{ "pile_set_name": "DM Mathematics" }
5*r + 3 + 34 for x. -4 Suppose 0 = 5*j + 3*y - 7, -2*j = -5*j - 4*y + 2. Suppose -458 = -7*c - 332. Let i be c + -25 - (-11 + 3). Solve j*v + 7 = 4*x + i, 0 = v - 3*x + 3 for v. -3 Let h(f) be the second derivative of -13*f**3/6 + f**2 + 60*f. Let c = 1 - 2. Let g be h(c). Solve -5*m - 15 = -o, 2*o + 2*o - g = 5*m for o. 0 Suppose 10*g - 25 - 25 = 0. Suppose 0 = -3*q + 5*a - 25, 3*q + 0*q - a = -g. Solve r + 19 = -d + 6*d, 3*r - 5*d + 27 = q for r. -4 Let n = 341 - 299. Let l = n - 38. Solve q + l*k = 3*k + 8, 3*q - 5*k + 8 = 0 for q. 4 Let h(q) = 3*q - 4. Let d be h(3). Let r(o) = -2*o**2 + 3*o - 6. Let z be r(3). Let b be 3 + (-3)/1 + z/(-5). Solve -v = -2*n - 1, -d*n + 14 = b*v - 0 for n. 1 Let x = 5533 - 5529. Solve 0 = -3*d - x*z - 8 - 6, -12 = 3*d + 3*z for d. -2 Suppose -5*v + 16*v - 55 = 0. Let l be 34/9 + 43/(-9) + v. Solve -4*i - 4*g - 36 = 0, l*i + 5*g + 40 = -0*g for i. -5 Let b = 140 + -113. Let j be (b/(-15) - -3)/(5/25). Let d = -104 + 114. Solve j*k - k + m = 15, -2*m = -d for k. 2 Let i be 5/75*-1 + 5/75. Solve 0 = 3*n - p - 20, i = -3*n + 36*p - 41*p - 10 for n. 5 Let l(s) = 0*s**2 - 2 - 5*s**2 - 2*s + 4*s**2 - 2. Let q be l(0). Let w be ((-10)/q)/(6/12). Solve -5*n = -n + w*y + 16, 0 = 4*y for n. -4 Let r be (-1 - -2)*((-72)/(-9) - 8)/2. Solve r = 5*m - 3*f - 8 + 13, -4*m + f - 4 = 0 for m. -1 Suppose -312*x + 6 = -311*x. Suppose r + b = 7, -2 = -2*r + b + x. Solve 0 = 4*m - r*g - 36, -3*m - 4 = -5*m - g for m. 4 Suppose 5*d - 4*i + 8 = 0, d + 4 = -d + 2*i. Suppose j = -4*r + 21, -4*r + d*j - 9 = -5*j. Solve r*b = 5*h + 19 + 2, 0 = -5*h - b - 1 for h. -1 Let r be (7 + -8)*(-4 + 0). Solve 5*b - r - 21 = -3*m, -b + 5 = -4*m for b. 5 Suppose 2*j + 3*y + 0*y + 16 = 0, 24 = -3*j - 2*y. Let c be j + 4 - -4 - -3. Solve -3*r = 5*s + 4, -3*r - 12 = -c for s. 1 Let a = 26 + -20. Suppose a = -3*l, -3*v + v = 4*l. Solve -2*n = -2*b + 3*n - 25, v*n + 3 = -3*b for b. -5 Let l(s) be the second derivative of -s**4/12 - 11*s**3/6 - 13*s**2/2 + 243*s. Let q = 9 + -18. Let y be l(q). Solve 7*n = 3*n - y*o + 1, 0 = o - 1 for n. -1 Let o be ((-3)/4)/((-1)/4). Let i be o/(2 + 1)*5. Solve 2*z + l - 12 = 0, -z = i*l - 4*l - 7 for z. 5 Suppose j + 3*g - 8 = 2, -g - 20 = -3*j. Solve -q - 7 = 2*p, 4*p = j*q - 11*q - 16 for p. -3 Suppose -2*a = -3*s + 96 - 203, -201 = -5*a - 2*s. Solve -f = -l - 2, 0 = -48*f + a*f + l + 6 for f. 1 Let a be (-770)/(-176) + (-6)/16. Suppose p + a = 11. Solve -4*l - 2 = 2*r, l + p + 1 = -2*r for l. 2 Suppose -16*y + 72 - 22 = -6*y. Let d(k) = k**3 + 6*k**2 + 5*k + 5. Let r be d(-5). Solve 2*c - 4 = y*q + 29, -r*q = -5*c + 45 for q. -5 Let z(w) = w**3 + 16*w**2 + 31*w + 70. Let h be z(-19). Let x be ((-58)/(-18) - 3) + h/(-81). Solve -5*u = -5*o - x, -2*o + u = 5*u + 8 for o. -4 Let w be ((-8)/(-6) + 0)/((-88)/(-990)). Solve -2*h + 3*z = 21, 19 = -3*h + 5*z - w for h. -3 Suppose -933*l = -859*l - 370. Solve -k + 16 = -3*z, l*k - 9*z = -5*z + 14 for k. -2 Let a = 8748 - 8745. Solve 62*j - 30 = 3*o + 57*j, -a*j = 2*o + 1 for o. -5 Let n(d) = -d**3 + d**2 + 9*d. Let g be n(-3). Suppose -g = -18*l + 9. Solve 9 = 3*b - 3*p, -2*b - 3*p - 13 = l for b. -1 Let g = 22 + -26. Let v be (-35)/(-14) + (-2)/g. Suppose -4*l - 3*h + 0*h + 5 = 0, 0 = -v*l - 5*h + 1. Solve -l*w = -5*w - 4*b - 19, 2*w + 3*b = -13 for w. -5 Let x(l) = -5*l - 2. Let u be x(-3). Suppose 11*p = 16 + 17. Suppose 12*a = 10*a - 12, -5*m + 3*a + 28 = 0. Solve -b = 4*g + u, 35 = -m*b - p*b - 5*g for b. -5 Suppose -572*w + 5*j - 59 = -576*w, -w - 2*j + 11 = 0. Solve -a + 11 = -3*g, w*g - 20*g + 5*a - 7 = 0 for g. -3 Let w be 6*(8 + -6) + -5. Let v(a) = -a**3 + 8*a**2 - 3*a - 24. Let o be v(w). Solve o*q + 2*t + 28 = 0, 3*q - 2*q - 4*t - 11 = 0 for q. -5 Let p(u) = u**3 + 62*u**2 - 130*u - 126. Let l be p(-64). Solve 24*r - 22*r = -n - 5, l*r - 5*n + 11 = 0 for r. -3 Let n be 9 + 2090/(-230) - (-48)/23. Solve -3*s = i + 12, 2*s = -n*s - 5*i - 5 for s. -5 Suppose 125*g + 40 = 133*g. Suppose g*r - 8*a + 7*a = -3, -6 = -r - 2*a. Solve -s + 3 = 0, 2*j + r*j - 4*s = -20 for j. -4 Let p(k) = -k**3 + 68*k**2 - 34*k - 2205. Let b be p(67). Solve 5*l = -4*y + 31, 2*y - 17 = -l - b for y. 4 Let x be (1/(-7))/(2/(-28)). Let s be (x/6)/(3/18). Solve -p - s*h + 6*h = -2, -h - 10 = -5*p for p. 2 Let p(m) = 3*m**3 - 2*m**2 - m. Let v be p(-2). Suppose 12*h + 419 + 1 = 0. Let b = v - h. Solve -2*q + 15 = -b*z - 11, 4*q - 2*z - 20 = 0 for q. 3 Let l = -232 - -270. Let o(g) = -g**3 + 38*g**2 + 4*g - 122. Let f be o(l). Solve 4*b + 0*b = s - 13, -5*b = -4*s + f for b. -2 Let f be (-16)/32*2*-2. Suppose f*d - 7*d + 15 = 0. Solve -d*i = -3*y - 12, 2*i + 8 = -5*y + 4*i for y. 0 Suppose -l - 8 = 3*z + 3, 3*l + 13 = -5*z. Suppose -l*t = -x - 4, -9*t = -2*x - 4*t - 2. Solve y - 2*v - 13 = -5*v, 5*y + x*v - 21 = 0 for y. 1 Let c(j) = -j**3 - 9*j**2 - 7*j + 70. Let q be c(-6). Let z(w) = 3*w - 6. Let b be z(4). Solve 2*n - 5*u + b = -u, -24 = -q*n - u for n. 5 Let h(s) = 5*s**2 - 1. Let r be h(1). Suppose 4*f = 44 + 16. Let q = f - 10. Solve 10 = q*c, -4*v - 2*c = -0*c - r for v. 0 Suppose 0 = 4*i - 6*a - 2, 44*i + 5*a + 10 = 49*i. Solve -i*s - 23 = 2*p - 8, 5*p = 4*s + 45 for p. 5 Let i(j) = j**2 + 104*j - 5540. Let g be i(-143). Solve 0 = c - 3*b - 7, g = -0*c - 5*c - 3*b for c. -5 Suppose -12 = -2*r - 2*r. Suppose 3*k + 5*g - 15 = 5, 5*k = -r*g + 12. Suppose 20*n - 24*n = k. Solve 23 = 5*p + o + 3*o, 5*p + o - 17 = n for p. 3 Let h be (228/18)/(-11 + (-544)/(-48)). Solve 4*u + 13 = -3*d, 3*d + 39 = -u + h for u. -4 Let s be (-8)/(-3) - 2/3. Suppose 3*b = g - 3*g + 36, s*g - 2*b - 46 = 0. Let f be 38/57 + (2/(-3))/1. Solve 0 = -4*h + 4*d, 2*h + 3*h + 2*d + g = f for h. -3 Let t(s) = s**2 - 68*s + 832. Let m be t(52). Solve m*i + 5*i + 2 = 4*y, -3*y = -5*i - 4 for i. -2 Let b(i) = i + 15. Let j be b(0). Suppose 3*t - j = -9. Solve 2*c + t*z = -10, -5*c - 2*z = -c + 16 for c. -3 Let s(l) = -2*l**2 + 13*l - 17. Let h be s(4). Solve -5*g - c - h = 0, 10*c + 1 = 3*g + 12*c for g. -1 Let z = 3051 + -3036. Solve 2*t + h - 12 = 0, -5*h + 0 = t - z for t. 5 Suppose 8*y - 7*y - c = -3, 0 = 5*y + 2*c - 20. Suppose -y*s = -2*r - 3 - 5, 0 = 5*s + 2*r - 20. Solve 4*t - s*z = 16, 5*z - z + 25 = -5*t for t. -1 Let k(s) be the first derivative of s**2/2 + s + 3. Let y be k(2). Suppose 79*d = 80*d - y. Solve 9 = n + 2*t, -3 - d = 3*n - 5*t for n. 3 Let f = 1061861 + -1061851. Let l(r) = -r - 4. Let a be l(-7). Suppose 2*h + s = h + 17, -2*h - 3*s = -36. Solve 3*n - 4*x + f = -3*x, a*x = -h for n. -5 Suppose 5*w + 2*q - 105 = 0, 2*w + 5*q + 623 = 644. Solve -b = -5*f - 30, 19*f - w*f - b - 15 = 0 for f. -5 Let o be 4*(2 - 52/16)*-7. Let l = o + -4. Solve -2*t = s - 2, 2*t = 7*t - 4*s - l for t. 3 Let m = 113 + -104. Suppose j - m = c + 2*c, -j + 3 = -c. Solve -4*s + 5*f - 8 = j, f + f = -s - 2 for s. -2 Suppose 2015 + 625 = -15*j. Let y = j - -422. Let z be y/41 + 1*(0 - 4). Solve 0*n + 2*n + 6 = -m, -4 = z*m for n. -2 Let g(p) = -2*p**2 - 7*p - 3. Let b = 467 + -468. Let d be g(b). Solve 3*x - 3*i = 12, 4*x + 7 - 5 = -d*i for x. 1 Suppose -10*s - 7 = 5*g - 6*s, -3*g - 3*s = 6. Solve -2*m = 3*x + g, -4*x + 2*x = 4*m + 14 for x. 3 Let p(i) = 13*i + 23. Let l be p(-2). Let d be -4*l/18*42/14. Solve 2 + 8 = -3*w - d*o, 2*o = 2 for w. -4 Let i be 7/(-196)*-12 - (8 - 102/7). Solve -2 = u - k, 5*u - 3*k = i - 15 for u. -1 Let c(a) = a**3 + 6*a**2 + 4. Let z be c(-6). Let n(m) = -6*m - 36. Let p be n(-6). Let o = -38 + 41. Solve -z = -t + 2*t + u, p = -o*u - 15 for t. 1 Let t = -9 - -17. Let i(w) = -2*w**2 + 2*w**2 - 10*w**2 + 9*w**2 - 14 + 11*w. Let h be i(t). Solve -2*u + 4*l = -0 + 20, 3*u + h = l for u. -2 Suppose -w - 18*i = -19*i - 8, 11 = -3*w - 2*i. Solve 5*y + 22 = -3*v, 2*v + w = 2*y - 3 for v. -4 Let f(v) = 0*v**3 + 4*v + 9*v**2 + 6 - 17*v**3 - 1 + 15*v**3. Let x(r) = -r + 9. Let g be x(4). Let w be f(g). Solve 0 = -a + 2*j + 13, w = -2*j - 3 - 5 for a. 5 Let d be (-6)/9 + (-8)/(-12). Solve n + 5*w = 13, 2*n + 1 = -d*n - w for n. -2 Let f = -206 + 210. Suppose 0 = -2*d - f + 4. Solve 0 = -4*a - 4*g + 20, d*g + 6 = 4*a - 3*g for a. 3 Let c = -3 + 173. Suppose -17*l - 68 = -c. Solve -2*t - l = 4*q, -1 = -7*q + 8*q for t. -1 Let k be 2/(-6)*(2 - 2). Suppose -5*b + 34 = 9. Suppose b*c = c + 16. Solve 0*v +
{ "pile_set_name": "DM Mathematics" }
qff. Give prob of sequence qv. 1/51 Four letters picked without replacement from {h: 2, w: 17}. What is prob of sequence wwwh? 5/57 Calculate prob of sequence mm when two letters picked without replacement from mvmvm. 3/10 Two letters picked without replacement from peceepeeeeeeee. Give prob of sequence ce. 11/182 Three letters picked without replacement from wwwpwwwwwwwppwwwwp. Give prob of sequence ppp. 1/204 What is prob of sequence lll when three letters picked without replacement from lllcllcylylll? 42/143 Calculate prob of sequence zva when three letters picked without replacement from vyazj. 1/60 What is prob of sequence juh when three letters picked without replacement from {u: 3, q: 2, j: 6, a: 2, h: 2}? 6/455 Two letters picked without replacement from {y: 9, w: 3}. Give prob of sequence yy. 6/11 Calculate prob of sequence ndn when three letters picked without replacement from {d: 2, n: 7, t: 2}. 14/165 Calculate prob of sequence bhq when three letters picked without replacement from {h: 2, x: 5, q: 7, o: 2, b: 2}. 7/1224 Two letters picked without replacement from cwccaawqccca. What is prob of sequence wa? 1/22 Three letters picked without replacement from {a: 10, i: 2, f: 1, g: 3, o: 3}. What is prob of sequence oio? 2/969 Four letters picked without replacement from ttsttsst. What is prob of sequence tsss? 1/56 Calculate prob of sequence si when two letters picked without replacement from {s: 5, i: 2, r: 3}. 1/9 Two letters picked without replacement from zzzzzzzzz. What is prob of sequence zz? 1 Calculate prob of sequence ggb when three letters picked without replacement from {b: 5, g: 8}. 70/429 What is prob of sequence yh when two letters picked without replacement from {h: 11, y: 2}? 11/78 Calculate prob of sequence qyyy when four letters picked without replacement from yyyyyyyyyyyqyyyyyy. 1/18 What is prob of sequence ic when two letters picked without replacement from ccihfcfcciiwhc? 9/91 What is prob of sequence hqlh when four letters picked without replacement from hhhhqqlhhhhzwhqhhl? 11/1224 What is prob of sequence nn when two letters picked without replacement from {n: 10, a: 2}? 15/22 Two letters picked without replacement from dcdddddddccdcdccdd. What is prob of sequence cc? 5/51 What is prob of sequence ox when two letters picked without replacement from xxgnnxgaxaonxoxxx? 1/17 Three letters picked without replacement from {h: 7, b: 1, t: 5, v: 2, m: 1}. What is prob of sequence hvm? 1/240 What is prob of sequence sc when two letters picked without replacement from {a: 1, c: 2, f: 4, s: 6, v: 2}? 2/35 Three letters picked without replacement from {x: 4, v: 2, n: 2}. Give prob of sequence xxn. 1/14 Four letters picked without replacement from {m: 3, g: 1, j: 1, c: 1, l: 1}. What is prob of sequence glmc? 1/280 Three letters picked without replacement from teztkzuzzznnezz. Give prob of sequence uzz. 1/65 Three letters picked without replacement from {t: 3, y: 3, j: 2, u: 1, m: 10}. Give prob of sequence myj. 10/969 Two letters picked without replacement from {h: 3, o: 1, p: 3, y: 1, u: 2}. Give prob of sequence uh. 1/15 What is prob of sequence hhz when three letters picked without replacement from hzxphxxx? 1/168 Two letters picked without replacement from qqkqqqkkqkqqk. Give prob of sequence kk. 5/39 Calculate prob of sequence wr when two letters picked without replacement from {j: 4, r: 2, w: 2, h: 4}. 1/33 Calculate prob of sequence bqqh when four letters picked without replacement from hmkbkbkhqhk. 0 Two letters picked without replacement from nnefnnnnnffnnnnnfnfn. Give prob of sequence fn. 7/38 What is prob of sequence ipi when three letters picked without replacement from {p: 6, k: 1, i: 4, m: 6}? 3/170 Calculate prob of sequence qaf when three letters picked without replacement from {e: 1, a: 1, r: 4, f: 1, q: 2}. 1/252 What is prob of sequence sijn when four letters picked without replacement from {i: 1, n: 1, v: 1, t: 2, j: 1, s: 1}? 1/840 What is prob of sequence oa when two letters picked without replacement from ocwowoa? 1/14 Three letters picked without replacement from uunruuhhuuuunr. What is prob of sequence hrh? 1/546 Calculate prob of sequence da when two letters picked without replacement from {t: 1, d: 1, v: 2, a: 1}. 1/20 Three letters picked without replacement from ommmmmomommmmm. Give prob of sequence omo. 11/364 Two letters picked without replacement from {l: 4, b: 6, r: 1}. What is prob of sequence rl? 2/55 What is prob of sequence at when two letters picked without replacement from smssstza? 1/56 Four letters picked without replacement from {l: 1, h: 2, b: 5, a: 1, o: 2, y: 2}. What is prob of sequence hhyo? 1/2145 What is prob of sequence syw when three letters picked without replacement from lykywsllll? 1/360 What is prob of sequence oqqr when four letters picked without replacement from {o: 6, q: 3, l: 1, t: 2, i: 3, r: 5}? 1/646 Two letters picked without replacement from {f: 3, d: 1, o: 4, g: 2, z: 1, q: 1}. What is prob of sequence gg? 1/66 What is prob of sequence ymmk when four letters picked without replacement from ymkkmkmykymmk? 5/286 What is prob of sequence xc when two letters picked without replacement from {x: 2, d: 3, c: 12}? 3/34 What is prob of sequence dddg when four letters picked without replacement from {d: 3, g: 1}? 1/4 Four letters picked without replacement from {m: 16, q: 4}. What is prob of sequence qqmq? 16/4845 Three letters picked without replacement from wtwwtwtwwwt. What is prob of sequence wtw? 28/165 Calculate prob of sequence ffff when four letters picked without replacement from dadidfnnfdfffniddnfd. 1/323 Calculate prob of sequence jd when two letters picked without replacement from ddddjzdjdd. 7/45 Four letters picked without replacement from {h: 1, y: 1, f: 10, n: 3}. What is prob of sequence nfyf? 3/364 Three letters picked without replacement from eqddwqd. Give prob of sequence eqw. 1/105 Two letters picked without replacement from {n: 1, r: 14}. What is prob of sequence rr? 13/15 Three letters picked without replacement from {p: 1, o: 1, v: 2, q: 2, y: 1, u: 1}. Give prob of sequence ooq. 0 Two letters picked without replacement from ahnhvaaancfva. Give prob of sequence cf. 1/156 Calculate prob of sequence tee when three letters picked without replacement from {e: 9, t: 1, k: 7, m: 1}. 1/68 Calculate prob of sequence qq when two letters picked without replacement from amqmqaaaaaqmma. 3/91 What is prob of sequence cj when two letters picked without replacement from cljbmum? 1/42 Two letters picked without replacement from zzxzzxxxaakwzxaw. What is prob of sequence kw? 1/120 Calculate prob of sequence rrxe when four letters picked without replacement from {t: 1, e: 6, x: 3, w: 3, r: 2}. 1/910 Calculate prob of sequence iii when three letters picked without replacement from {m: 2, i: 9}. 28/55 Three letters picked without replacement from {m: 10}. Give prob of sequence mmm. 1 Three letters picked without replacement from cgechheroeoe. What is prob of sequence cec? 1/165 Calculate prob of sequence rfad when four letters picked without replacement from {q: 1, f: 3, y: 1, d: 4, a: 6, r: 1}. 3/1820 Three letters picked without replacement from hleaeeuueoeeeeh. Give prob of sequence uel. 8/1365 Four letters picked without replacement from aaaahaaaahaaha. What is prob of sequence ahha? 5/182 Four letters picked without replacement from bbcbbbc. What is prob of sequence bcbc? 1/21 Calculate prob of sequence ogo when three letters picked without replacement from {o: 9, g: 8, q: 2}. 32/323 Calculate prob of sequence zj when two letters picked without replacement from {h: 1, z: 3, j: 1, r: 7}. 1/44 Calculate prob of sequence ii when two letters picked without replacement from {b: 7, m: 2, h: 6, i: 2, w: 1, l: 1}. 1/171 Four letters picked without replacement from zzzuzzzzzzu. What is prob of sequence zzzu? 7/55 What is prob of sequence dk when two letters picked without replacement from {o: 1, k: 1, d: 1, e: 2}? 1/20 Four letters picked without replacement from jajajja. What is prob of sequence jaaj? 3/35 Four letters picked without replacement from {e: 2, b: 1, p: 1, w: 1, v: 2, x: 1}. Give prob of sequence vepx. 1/420 Three letters picked without replacemen
{ "pile_set_name": "DM Mathematics" }
13*x + 13. Is n(4) a multiple of 27? False Suppose -q + 2*q = -2, -2*s - 2*q - 4 = 0. Let z be 25/(1/(-1 - s)). Let k = -2 - z. Does 10 divide k? False Let u be -2*(-4)/(-16)*-18. Suppose 4*f - u = 115. Is f a multiple of 15? False Let s = 11 + -6. Suppose -w = -s*w + 36. Let f = w - 2. Is f a multiple of 3? False Let v(l) = 5*l**2 - 5*l + 6. Let p(b) = 5*b**2 - 4*b + 5. Let d(j) = 3*p(j) - 2*v(j). Let s be d(2). Does 10 divide (-2)/(-2) + s + 3? False Suppose -3*y + 5*y = 4. Suppose 0 = -3*w + 8*w + r - 84, y*r - 66 = -4*w. Is w a multiple of 9? False Suppose z + 3*z = 28. Is z a multiple of 7? True Let a be -5 + 0 - (-4)/(-2). Let p = 30 + a. Does 8 divide p? False Let h = -11 + 15. Suppose 67 = 2*r + c - h*c, r - 4*c = 46. Is r a multiple of 13? True Suppose 2*z - 1 = 5*h, 4*z + 5*h + 10 = -3. Is -59*(z - (0 + -1)) a multiple of 22? False Suppose -5*j + 549 - 44 = 0. Is j a multiple of 16? False Let y(h) = h**2 - 1. Let b be y(1). Let s be b - (0 - 0 - -10). Let o = -4 - s. Is o a multiple of 3? True Does 6 divide ((-1 + 4)/(-3) - -6) + 2? False Suppose 40 = 8*f - 88. Is 5 a factor of f? False Let c = 219 + -104. Is 23 a factor of c? True Suppose r - 291 = -5*j - r, 0 = r - 3. Is 8 a factor of j? False Suppose 4*j - 14 = -2*f, 2*j - 2*f = 4*j - 2. Suppose j*u - u - 190 = 0. Does 19 divide u? True Suppose 0*v = 2*v - 12. Does 9 divide (28/(-5))/(v/(-30))? False Suppose -21 = p + 223. Let l be -1 - -3 - p/4. Suppose 2*a - a = l. Is a a multiple of 21? True Let j(k) = 14*k**3 + 5*k**2 - k + 6. Let b(f) = 5*f**3 + 2*f**2 + 2. Let u(q) = -8*b(q) + 3*j(q). Is 3 a factor of u(2)? False Let f = -6 - 1. Is (f - -2)/((-3)/33) a multiple of 12? False Let u(y) = y**2 - 2*y - 3. Let d be u(3). Suppose d = -2*g + 66 - 12. Suppose -4*i + 7*i - g = 0. Is 6 a factor of i? False Let c = -6 - -11. Suppose 3*r + 0*r - 4*d + c = 0, -2*d + 35 = 5*r. Suppose 0 = v - 3*m - 36, 3*m + r + 10 = 0. Is v a multiple of 15? False Let s = 8 + -5. Suppose 19 = -s*c + 4*c. Is 7 a factor of c? False Let n = -189 - -291. Suppose 3*x - n = -5*k + 4*x, 0 = 4*k - 2*x - 84. Is k a multiple of 6? False Suppose 0 = -3*y - y + 12. Let m(l) be the third derivative of -l**5/60 + l**4/8 + 2*l**3/3 - l**2. Is 2 a factor of m(y)? True Suppose 4*g + 10 = y - 0*g, y + 3*g - 17 = 0. Is 13 a factor of y? False Suppose 2*l + 0*l = 0. Suppose l = a - 4 + 6. Is 14 a factor of (-1355)/(-35) - a/7? False Let v = -5 - 0. Let l(o) = -o**2 - 6*o + 2. Is 7 a factor of l(v)? True Let a(h) = h**3 - h**2 - h + 132. Is 27 a factor of a(0)? False Let l = -16 - -7. Let y = l - -26. Does 6 divide y? False Let i(t) = -2 - 6 - 3*t - 6*t - t**2. Does 3 divide i(-7)? True Let f = -54 + 159. Is 26 a factor of f? False Let s be (4 - 1)*(-8)/6. Let x = 2 + s. Is x - 52/(2 - 4) a multiple of 14? False Suppose 0 - 6 = -s. Is 6 a factor of s? True Let s = -4 + 0. Let v(m) = -17*m**2 + 27*m + 11. Let p(f) = 6*f**2 - 9*f - 4. Let t(r) = s*v(r) - 11*p(r). Is 9 a factor of t(6)? True Suppose -n + 1 = -3*a + 16, 0 = -5*n - 3*a + 15. Suppose n = 2*y - 3*y + 705. Is 12 a factor of y/20 - (-2)/(-8)? False Let y = -13 + 16. Is y a multiple of 2? False Let p be 4 + (-2)/((-2)/(-1)). Suppose -a - p*k + 44 = 0, 5*k = -2*a - 0*a + 84. Is a a multiple of 8? True Let g(c) = -c**3 + 8*c**2 + 10*c - 4. Let b be g(9). Let u = b - 5. Suppose u = i + 4*i - 150. Does 13 divide i? False Suppose 3*y + 4*c = -130, 4*c - 100 = 4*y - 2*y. Let x = y + 86. Suppose 6*h - x = h. Does 8 divide h? True Let x = -3 - 3. Let j(h) = h**3 + 6*h**2 + 8. Is 2 a factor of j(x)? True Suppose 0 = -3*w + 8*w. Suppose 5*r - 14 - 16 = w. Is 3 a factor of r? True Suppose -2 = 4*s - 6. Let f = 4 - s. Suppose g = f + 34. Is 12 a factor of g? False Let i(a) = a**3 + 4*a**2 - a - 2. Let l(z) = -z**2 - z + 1. Let t(h) = i(h) + 2*l(h). Is 18 a factor of t(3)? True Suppose 3*m - 4*b = -b - 6, 0 = -2*m + 5*b - 10. Suppose -1 = -f - m*f. Is 2 a factor of (f*-6)/(-1 + -1)? False Suppose 6 = 3*b - 0*b. Suppose n + b*g + 2 = 0, -11 + 5 = -3*n - 2*g. Suppose -56 = -2*i + n*w, -3*i - 2*w = -w - 56. Is 10 a factor of i? True Suppose -8 = -4*h + 2*h. Is 4 a factor of (2 + 3 - h) + 19? True Let r be -4 + 3/(6/4). Let w = -24 + 24. Is 4 a factor of -3 - (w + r) - -11? False Let b be (4/1 + -1)*-1. Let c = -2 + -6. Let t = b - c. Is t a multiple of 5? True Is (-2)/(((-4)/(-30))/(-2)) a multiple of 15? True Let n(f) = f**3 + f**2 + 12. Suppose -6*s = -2*s. Suppose s = 5*g - 5*d + 5, 3*g + 3 = -2*d + 5. Is 12 a factor of n(g)? True Suppose j - 18 + 5 = -4*i, -4*i - 4*j + 28 = 0. Suppose i*o = o. Suppose o = -3*b + 2*b + 29. Is b a multiple of 12? False Let x = 11 + -11. Suppose x = -g + 1 - 4, q - 24 = -2*g. Is 17 a factor of q? False Let d(c) be the third derivative of 1/60*c**5 + 1/3*c**3 + 0 - 2*c**2 + 0*c + 1/8*c**4. Is 10 a factor of d(-6)? True Let n be 2/3*(-18)/(-6). Suppose n*w = -3*w. Suppose w = -j + 2*j - 13. Is 9 a factor of j? False Let a be 4 + -6 - 12/1. Let h be 21/a + (-23)/(-2). Suppose -p - 3 = -h. Is p even? False Let f = -154 + 246. Is 11 a factor of f? False Let p(q) = 18*q - 12. Let t be p(6). Is (t/(-5))/(-3)*5 a multiple of 16? True Suppose 4*g + 4*m = 128, -4*g + 118 = 4*m - 2*m. Suppose 0 = 3*s - g - 81. Does 13 divide s? False Let o(j) = 4*j**2 + 6. Is 14 a factor of o(4)? True Suppose -6 = -2*w - 0. Let n(u) = -2 + w + u + 2. Does 12 divide n(9)? True Let k(x) = 5*x + 2. Let v be k(-2). Let l = v + 20. Is l a multiple of 6? True Let z(l) = -l**3 - 3*l**2 + 3*l + 4. Let y be z(-3). Does 6 divide (8 + -3)/(y/(-6))? True Let w(o) = -2*o - 8. Let t(x) = x**3 + x - 6. Let y be t(0). Let j be w(y). Suppose -41 = -j*v + 5*u, 0 = -0*v + v - 4*u - 2. Does 4 divide v? False Let x = 31 + 25. Is x a multiple of 14? True Let m = -7 - -11. Suppose -3*p - 37 = m*b - 2*p, -2*b - 5*p = 41. Is (-6 + 3)/(3/b) a multiple of 7? False Let x = 32 + 11. Is x a multiple of 9? False Let k(v) = 4*v + 36. Does 14 divide k(0)? False Suppose 11 = -2*i + 729. Suppose 0*c - i = -5*d + 2*c, 4*d - 276 = -4*c. Does 24 divide d? False Let b be 6/8 + (-24)/32. Let d(y) = -y**2 + y + 3. Is 3 a factor of d(b)? True Let u(w) = -6*w - 3. Let p be u(3). Let a = -4 - p. Let q = a + -3. Is 5 a factor of q? False Suppose 0*r = 2*r. Suppose 3*x = -2*i - r + 2, i + 10 = 4*x. Suppose 14 - 42 = -x*a. Is 14 a factor of a? True Let k(n) = 3*n - 6. Let d be k(9). Let f = -8 + d. Is f a multiple of 13? True Let k(q) = 12*q**2 + 4*q - 6. Does 18 divide k(-3)? True Let o = 211 + -43. Is 28 a factor of o? True Let d be (-2)/12 + 25/6. Suppose d*i + 30 - 126 = 0. Does 8 divide i? True Let t = 157 - 3. Does 18 divide t? False Suppose m = 4*s + 5*m - 28, 0 = 3*s - m - 5. Let j = -3 + 3. Suppose j = -s*r + 11 + 1. Is r a multiple of 2? True Let q = -66 - -77. Is q a multiple of 11? True Suppose -4*d + 64 = a, -2*d + 18 = -0*d + 4*a. Is 17 a factor of d? True Let n(z) = z**3 - 18*z**2 + 2*z + 8. Is n(18) a multiple of 4? True Let z = -41 - -116. Is z a multiple of 25? True Let a = 3 + 3. Let w(f) = 5*f**2 + 6*f - f**3 - 8 - f + f**2. Is w(a) a multiple of 11? True Let r = 76 - 42. Is r a multiple of 15? False Suppose 3*q = -0*q + 108. Is 12 a factor of q? True Let j(w) = -4*w - 4 + 3*w - w**2 - 3 - 6*w. Let d be j(-5). Suppose b + 3*x = 0, -d*b + 16 = -2*b - x. Is 6 a factor of b? True Let z(x) = -2 + 2*x - 3*x - 3*x. Suppose b = 2, 0 = 8*p - 3*p + 2*b + 21. Is z(p) a multiple of 9? True Let u(n) = 25*n**2 - n. Does 6 divide u(1)? True Let s be (1 - 3)*(1 + 1). Let i(d) = -15*d - 5. Let a be i(s). Suppose -a = -3*r + 23. Is r a multiple of 13? True Let x(b) be the second derivative of b**5/20 - 11*b**4/12 + 11*b**3/6 - 2*b**2 + b. Does 2 divide x(10)? True Suppose -s + 5*s = 8. Suppose s*d = d + 10. Does 10 divide d? True Let p be (-373)/(-3) + (-3)/9. Let t = p + -71. Is t a multiple of 15? False Let f(v) = 29*v**2 - v. Let q be f(-1). Suppose -2 - q = -r. Is r a multiple of 16? True Let s = 550 - 376. Is s a multiple of 29? True Is 62/3 - (-13)/39 a multiple of 7? True Let s(z) = -4*z**2 + 6*z + 4. Let r(k) = -11*k**2 + 17*k + 11. Let t(m) = -3*r(m) + 8*s(m). Suppose 5*w - 22 = 3. Does 5 divide t(w)? False Let r be (-6)/(-5)*30/9. Suppose 2*l = -r*t - 0*t + 6, -3*t - 23 = -l. Is l a multiple of 11? True Su
{ "pile_set_name": "DM Mathematics" }
z, f Let j = -294 - -210. Let n = -78 - j. Suppose 2 + 3 = -u. Put n, u, -0.2 in descending order. n, -0.2, u Let r = 67 + -55. Suppose 4*q + r = 3*w, 2*q = 5*q + 4*w - 16. Sort q, -2, 4. -2, q, 4 Let t = -32.366 + -0.134. Let l = t + 33. Sort -0.5, l, 1/13, -0.3 in decreasing order. l, 1/13, -0.3, -0.5 Let r = -605 + 1245/2. Let h = r + -17. Put h, -4, -2 in increasing order. -4, -2, h Suppose -g = 5*d - 2*g - 38, -d + g + 6 = 0. Let x be (-3 + 2)*(-60)/12. Suppose 3*f + 3*t = 3, 2*f - 1 - x = -4*t. Sort d, -4, f. -4, f, d Let j = -2 - 0. Let i = 49 - 34. Suppose -i = 4*r - 3. Put r, j, 3 in descending order. 3, j, r Let y = 0.3 - 5.3. Let d = -11.37 + 12.37. Put d, y, -4, -2/5 in decreasing order. d, -2/5, -4, y Let s be 1*-2 + (12 - -7). Let k = 12 - s. Let q = -1/154 + 15/154. Sort 0, q, k in decreasing order. q, 0, k Suppose -3*a = 2*a - 30. Suppose a*x = 10*x. Suppose -7 = -x*o - o. Sort o, -5, -1 in descending order. o, -1, -5 Suppose 11*c + 27 = 2*c. Put c, 3, 68 in descending order. 68, 3, c Let y = 53 + -65. Let b = y + 17. Let j = 8 + -4. Put -2, j, b in descending order. b, j, -2 Let j be (-4)/26 + 105543/819. Suppose -2*d - 3*k = 258, 0*d - 2*d = -k + 258. Let z = d + j. Sort 0.5, z, -0.2. z, -0.2, 0.5 Let x(a) = 2*a**2 + 37*a - 20. Let b be x(-19). Put b, 2/5, 4, -1/35 in decreasing order. 4, 2/5, -1/35, b Let b = 0.3 - 0.2. Let w = b - -0.1. Let l be 19/684 + (-2)/8. Sort -1/3, w, l in decreasing order. w, l, -1/3 Let w = -5158.17 - -5452.2. Let j = 285 - w. Let f = 0.03 + j. Sort f, 3, -5 in ascending order. f, -5, 3 Let q be (-13)/10 - (-17 - -16). Put -0.4, -4, q in decreasing order. q, -0.4, -4 Suppose 2*w - 7*w = -u - 34, 0 = 5*u - 3*w + 148. Put u, 0, -3 in descending order. 0, -3, u Suppose -2*w - 3*b = -4*b - 4, 0 = w + b - 2. Suppose -4*y - 2*f + w = -12, -3*y + 6 = 3*f. Let v = -1.9 + -1.1. Sort v, -0.4, y. v, -0.4, y Suppose -4*m + k = -67, 0 = m - 6*m + 5*k + 65. Let n = m - 22. Let w(p) = p**2 - 8*p. Let a be w(8). Put 3, n, a in descending order. 3, a, n Let q = -10 - -14. Suppose -q*y + 7*y - 9 = 0. Sort -1, 1, y, -5. -5, -1, 1, y Let g(v) = -9*v - 27. Let q be g(-10). Let f = q - 68. Put -4, f, -1, 3 in decreasing order. 3, -1, -4, f Suppose -5*r + 38 = 13. Suppose 5*v - r*o - 75 = 0, 0 = 5*v - 3*o + o - 81. Let m = v + -13. Put -3, m, -1/4 in ascending order. -3, -1/4, m Let p be 6/(-33) + (474/66 - 7). Put -2, 21, p, 1 in ascending order. -2, p, 1, 21 Let b be 4/1 + (-1 - (-3 - -5)). Put 4, 0, b, 7 in descending order. 7, 4, b, 0 Let m be ((-2)/3)/(1/(-3)). Let w(o) = o**2 + 20*o + 99. Let s be w(-8). Sort s, 1, -4, m in decreasing order. s, m, 1, -4 Let n = 154 - 1384/9. Put n, 0.1, 24 in descending order. 24, n, 0.1 Let n(o) = 18*o + 283. Let i be n(-16). Sort 196, 0, -4, i in decreasing order. 196, 0, -4, i Let d = -840 - -836. Sort d, 0, 63, 11 in increasing order. d, 0, 11, 63 Let c be ((-3)/7)/(5/35). Let p = -60 + 63. Sort p, -6, c. -6, c, p Let y = 2/247 - 40/247. Sort 0.1, -9/5, y in descending order. 0.1, y, -9/5 Let y = -10 + 21. Let k = 5008/407 + -462/37. Put 3, k, y in decreasing order. y, 3, k Let i = 25 - 8. Let d = i + -16.2. Let z = -0.4 + d. Sort -2/17, 0, z. -2/17, 0, z Suppose -2*d = -2*l - 28, 2*d = -d - l + 58. Suppose 493 = 3*y + 490. Sort y, d, 5 in decreasing order. d, 5, y Let r = 0.7231 + -0.0231. Put -2/11, r, 1.2 in ascending order. -2/11, r, 1.2 Suppose 5*a - 8 = 5*v - 23, -4*a + 28 = 4*v. Put a, 4, -27 in descending order. 4, a, -27 Let q(h) be the first derivative of h**4/4 + 2*h**3/3 - 12. Let f be q(-1). Put 3, f, 0 in decreasing order. 3, f, 0 Let b(f) = f + 1. Let c be b(1). Suppose -c*q + 7 = 2*k + 3, 3*q = 15. Suppose 3*j + 32 = 4*a, -2*j + 7 = -a + 20. Sort -2, j, k in ascending order. j, k, -2 Let z = 0.528 + -38.628. Let w = -38 - z. Put w, -0.5, 2/7 in decreasing order. 2/7, w, -0.5 Suppose -h + 10*l + 25 = 5*l, 2*h = 4*l + 20. Suppose 3*o = -2*o + 15. Put o, h, -6 in decreasing order. o, h, -6 Let r = 2.1 - 1.1. Let k = r - 5. Sort -2/13, k, -3. k, -3, -2/13 Let c(b) = -b**3 - b**2 + 5*b + 3. Let y be c(-3). Suppose -2*l - k + 1 = -2, y = 5*l + 2*k. Suppose 70 - 1 = 23*n. Sort l, -5, n. -5, l, n Let i be (-1)/(15/(-51)) + 4/(-10). Suppose 0*z - 12 = i*z. Sort z, 7, 4. z, 4, 7 Let h = 2676 - 2676.5. Put h, -7, 2/3, 24 in ascending order. -7, h, 2/3, 24 Suppose -4*w = -43*w + 117. Put w, -4, 71 in descending order. 71, w, -4 Suppose -4*o = -33 - 19. Suppose -12 - 6 = 5*l + 3*y, -y = 4*l + o. Let c be ((-2)/(-24))/(l/(-9)). Sort -0.3, c, -4/3 in increasing order. -4/3, -0.3, c Let l = -396 - -3959/10. Sort l, 2/9, -3/8 in decreasing order. 2/9, l, -3/8 Let r = -33 + 29. Sort r, -3, -51 in ascending order. -51, r, -3 Let t = -5 - -2. Let n = 1582 + -1581.5. Sort -9, t, n in descending order. n, t, -9 Let u(y) = -8*y + 1. Let a be u(-1). Let b = a - 10. Let w be (-3 - (1 + -3))*b. Sort -5, -2/21, w in decreasing order. w, -2/21, -5 Let u = 5/6 - 13/30. Sort -1/4, u, 3, -28 in increasing order. -28, -1/4, u, 3 Let b = -1 - -1. Suppose 0 = 39*r - 37*r + 10. Put b, r, -4 in decreasing order. b, -4, r Let m = 0.96 + 0.34. Let n = m + -1. Let j be 60/(-40)*(-8)/18. Put j, n, 5 in decreasing order. 5, j, n Let i = -43 + 53. Sort 1, i, 2/5 in decreasing order. i, 1, 2/5 Let u be (-2)/((-36)/(-2))*2. Let r = 0.097 - 0.497. Sort r, -4, u in ascending order. -4, r, u Let a(t) = 13*t - 83. Let q be a(6). Sort q, -24, -4 in decreasing order. -4, q, -24 Let s be (-30)/(-8) + (-5)/(-20). Suppose s*r - 5 = 11. Suppose 0 = f - r*f. Sort 1, -5, f in decreasing order. 1, f, -5 Let b = 96 - 99. Sort 4, b, 2, 16. b, 2, 4, 16 Let f = -64 + 64. Let b(c) = -5*c + 5. Let a be b(2). Sort f, 7, 2/9, a in descending order. 7, 2/9, f, a Let f(t) = -t - 6. Let i be f(-6). Let r = 65 - 49. Let y = 19 - r. Put y, 2, i in ascending order. i, 2, y Let h be -2*((-9)/(-6))/(-1). Let a be (1 - -2) + (1 - h). Let j(w) = -w**3 - 9*w**2 + 12*w + 23. Let t be j(-10). Sort t, a, 4 in decreasing order. 4, t, a Suppose 250*f = 256*f - 12. Sort 4, f, -5, -11. -11, -5, f, 4 Let g = -8 + 8.01. Let b = g - 0.01. Suppose -3*d - q + 8 = -5, 29 = 3*d + 5*q. Sort 4, d, b in ascending order. b, d, 4 Let g be 0 - 2/(-9) - 22/18. Let s be 4/14 + 4/(-14). Put -2, -4, g, s in decreasing order. s, g, -2, -4 Let p be -8 - ((-170)/25 - 1). Put p, -15, 1 in increasing order. -15, p, 1 Let i = -331 + 334. Sort 0.4, i, 2/11 in decreasing order. i, 0.4, 2/11 Suppose 12*c = 7*c + 4*c. Sort -8, c, -1. -8, -1, c Suppose 319*a + 154 = 242*a. Suppose -4*i - 2*l + 3 = -3, 3*i + 3*l = 0. Suppose -2*b + i = -b. Sort b, a, 6 in decreasing order. 6, b, a Let b be 28/35 + 4/(-10). Let d = 3/2 - 15/14. Sort b, 2/3, d. b, d, 2/3 Let s be 4/22 + 344/44. Let o be (-6)/s - 3/12. Suppose 0 = -2*t + 3*t + 3*t. Sort o, t, 4 in increasing order. o, t, 4 Let a = -1 - -3. Let x(t) = -7*t + 46. Let b be x(7). Sort 3, 1, a, b in decreasing order. 3, a, 1, b Let v = -1196.57 + 1199. Put -1/2, -3, 1, v in descending order. v, 1, -1/2, -3 Let y = 7.345 + -7.3. Let h = y + 0.055. Sort -0.5, 11, h, 2. -0.5, h, 2, 11 Let x = -0.76 + 12.16. Let a = 14 - x. Sort 3, a, -3 in increasing order. -3, a, 3 Let f = -79 + 76. Put f, 0, -4 in decreasing order. 0, f, -4 Let h = -1.382 - -1.482. Let x be 1*(1 + -2 + 2). Sort -3, h, x, 2/3. -3, h, 2/3, x Suppose 0 = 10*x - 470 - 1900. Suppose 4 = -x*f + 239*f. Sort 2/19, f, -1, -3 in ascending order. -3, -1, 2/19, f Let r be ((-1)/(-3))/(3/27). Suppose 14 = 4*c + 2*i, -r*i = -3*c + 2 + 13. Let b = c - 2. Sort -2, 4, b in descending order. 4, b, -2 Suppose 9 = 10*z - 13*z. Suppose 5*m = m. Let q = 2 + m. Put q, z, 3 in decreasing order. 3, q, z Let s be ((-3)/(-3) - -5) + -2. Suppose -6 = -z + 3*d, -s*z + 4*d = -d - 17. Let b = -237 - -241. Sort z, b, -3 in increasing order. -3, z, b Let h(r) = -54*r - 268. Let v be h(-5). Put 5, -45, v in descending order. 5, v, -45 Suppose -19 = -6*v + 5. Suppose 11 = d + v*l, 4*d + d - 7 = 4*l. Put d, -32, 0 in ascending order. -32, 0, d Let p = -354 - -355. Let y = 6 + -6.1. Put p, y, -1.1 in increasing order. -1.1, y, p Suppose 4*k = -0*c - 4*c + 64, -2*k + 10 = 0. Let r be 2/c + 86/(-110). Sort r, -0.2, -23. -23, r, -0.2 Suppose 55*l - 51*l = -20. Put l, 2, -45 in decreasing order. 2
{ "pile_set_name": "DM Mathematics" }
+ 4. Let x(g) = -10*g + 25. Let b(j) = 28*j - 74. Let i(s) = -6*b(s) - 17*x(s). What are the prime factors of i(a)? 31 Suppose -4*o + 2507 = -n, -1879 = -20*o + 17*o + 2*n. What are the prime factors of o? 3, 11, 19 Let u(n) = -n**2 - 7*n - 8. Let x be u(-4). Suppose -3*p - i + 131 = 0, -3*i + 2*i + 176 = x*p. List the prime factors of p. 3, 5 Let n = 1417 + -522. What are the prime factors of n? 5, 179 Suppose x - 243 = 3*s, x + 2*s = -2*x + 696. What are the prime factors of x? 2, 3, 13 Let r be 6 - (-4 + 2 - (-2 - 0)). What are the prime factors of (70/(-3))/(r/(-27))? 3, 5, 7 Let y(f) = -20*f + 2*f - 54*f**2 + 53*f**2 - 10. List the prime factors of y(-14). 2, 23 Let x = -315 - -657. Suppose -5*z + 525 = 4*y, 3*z - 4*y + y = x. List the prime factors of z. 109 Suppose 562 - 2239 = -3*k. List the prime factors of k. 13, 43 Suppose 64*o - 75*o = -62766. What are the prime factors of o? 2, 3, 317 Let f = 413 - -746. What are the prime factors of f? 19, 61 Suppose 307 - 923 = 8*b. Let w = b + 147. List the prime factors of w. 2, 5, 7 Let h be (15/(-6))/(1/10). Let n = h - -241. List the prime factors of n. 2, 3 Let o = 1245 - -609. List the prime factors of o. 2, 3, 103 List the prime factors of 6/(-69) - (341978/(-161) - 5). 2129 Let o(s) = -154*s**2 - s - 1. Let q be o(-1). Let k = -82 - q. List the prime factors of k. 2, 3 Let t(f) = f**3 + 7*f**2 + 5*f. Let u be t(-2). Suppose -u*n + 4*n + 42 = 0. What are the prime factors of n? 7 Let v = 1782 + -1182. What are the prime factors of v/9 - 24/(-18)? 2, 17 Let b(o) = 9*o**2 - 17*o - 24. What are the prime factors of b(12)? 2, 3, 89 Let y(b) = 5*b + 5. Let i(u) = 4*u + 6. Let r(c) = 4*i(c) - 6*y(c). Let n be r(-4). Suppose -2*x - n = -4*x. What are the prime factors of x? 5 Let n(c) = -c**3 - c**2 + c + 1. Let f be n(-2). Let u(l) = 3*l - 10. Let y be u(5). Suppose -x = -y*s + x, -f*x + 5 = -5*s. What are the prime factors of s? 2 Let p(h) be the second derivative of -h**3/3 - 9*h**2 - 25*h. What are the prime factors of p(-12)? 2, 3 Suppose 2*d - 5*d = 0. Suppose d*g - 3*g = -12. Suppose -g*q = -15 + 3. List the prime factors of q. 3 Let k(l) = 1275*l**2 + 7*l - 6. List the prime factors of k(1). 2, 11, 29 Let t(d) be the first derivative of -d**3/3 + 7*d**2/2 - 2*d + 1. Let v be 10/((-20)/6)*(-2 + 0). What are the prime factors of t(v)? 2 Let n = 305 + -151. List the prime factors of n. 2, 7, 11 Let x(v) = 3*v**2 + v - 1. Let a be x(1). Suppose a*f - 243 = -0*f. What are the prime factors of f? 3 Suppose -1071 = -2*c - 233. List the prime factors of c. 419 Let v = 139 - 80. List the prime factors of v. 59 Let w(j) = 26*j**3 - 6*j**2 + 11*j + 21. Let u(h) = -5*h**3 + h**2 - 2*h - 4. Let m(c) = -11*u(c) - 2*w(c). List the prime factors of m(3). 2, 23 Let y = 1 - -11. Suppose 2*u + 2*v = 64, -u + y = -3*v - 12. Suppose 0 = 2*l - u - 40. List the prime factors of l. 5, 7 List the prime factors of 59420/(-5)*3/(-12). 2971 Suppose 5*t - 2189 = 7*k - 10*k, 0 = -4*t - 3*k + 1753. What are the prime factors of t? 2, 109 Let v = -8 - -12. Suppose -3*h + 14 = -v. Let o = 43 - h. List the prime factors of o. 37 Let f be 0 + (-36)/((-9)/(-3)). Let j = 15 + f. List the prime factors of (j/3)/(2/74). 37 Let k = -1684 - -2532. What are the prime factors of k? 2, 53 Let b = -101 - -108. Let x(h) = -3*h + 29. What are the prime factors of x(b)? 2 Let f be 36/12 - (1 - 11). Let z(q) = -q + 27. What are the prime factors of z(f)? 2, 7 Let u be 11 + (-3 - -4)*-1. Let v = 2 + u. What are the prime factors of 44/v - (-3)/9? 2 Suppose 0*s = 2*s - 4. Suppose -s*p = -p - 4. What are the prime factors of p? 2 Let x(a) = -a + 5. Let q be 26/(-4) + 6/12. Let b be x(q). Let y(w) = 2*w - 7. What are the prime factors of y(b)? 3, 5 Let b(g) = g**2 + g - 3. Let v(c) = -c**2 - c**2 - c**2 + 4*c**2. Let n be v(2). List the prime factors of b(n). 17 Suppose 3*z - 8*z - 2*l + 25 = 0, 37 = 4*z + 5*l. Suppose 4*d + z*o - 224 = 0, 2*d + 5*o - 285 = -3*d. What are the prime factors of d? 53 Let h(b) be the third derivative of b**5/60 + b**4/4 + 7*b**3/3 + 2*b**2. Let l be h(-6). What are the prime factors of 144/l*14/3? 2, 3 Let t(q) = q**3 - 14*q**2 - 15*q + 18. Let f be t(15). Let d be (55/(-3))/5*f. What are the prime factors of (d/(-24))/(2/8)? 11 Let q(h) = 12*h - 1. Let d be (-32)/(-24)*(4 + -1). What are the prime factors of q(d)? 47 Suppose 4*z = -0*z + 20, 5*s - 1010 = 4*z. What are the prime factors of s? 2, 103 Suppose 0 = 3*b, 3*c - 3*b = b + 402. List the prime factors of c. 2, 67 Let z(p) = p**3 - p**2 + 32. Let l be z(0). Let g(k) = l*k**2 - k + 4 - 5 - 6*k**2. What are the prime factors of g(-1)? 2, 13 Let y(c) be the third derivative of -c**6/120 + c**4/4 + 3*c**3/2 - 4*c**2 + 11*c. List the prime factors of y(-7). 2, 5, 31 Suppose -4*r + 12 = -2*r. Let g be (-1652)/(-119) - (-4)/34. Let w = r + g. What are the prime factors of w? 2, 5 Let t(h) = 8*h**2 - h + 1. Let s be t(1). Suppose d - s*d = -651. What are the prime factors of d? 3, 31 What are the prime factors of ((-111)/185)/(2/(-2740))? 2, 3, 137 Let h = 0 + 8. Let u be 4/14 - h/28. Suppose -2*n - 22 + 76 = u. What are the prime factors of n? 3 Let r(h) = -18*h + 42. Let g be r(-5). Let x = -20 - 59. Let s = g + x. What are the prime factors of s? 53 Suppose -5*r = -88 - 57. List the prime factors of r. 29 Suppose 57*n - 75*n = -27612. What are the prime factors of n? 2, 13, 59 Let g(k) = -3*k + k**2 + 0*k + 16 - 4*k + 3*k. List the prime factors of g(8). 2, 3 Suppose -4*s - 6437 = -3*u, 2124 = -5*u + 6*u + 3*s. List the prime factors of u. 3, 23, 31 Suppose -3*o - 62 = 19. Let u = o + 47. What are the prime factors of u? 2, 5 Suppose -5*a = 4*f - 3460, 6*a - 3*f = 10*a - 2768. What are the prime factors of a? 2, 173 Let u = -300 + 805. What are the prime factors of u? 5, 101 Suppose 4*k - 5*l - 3764 = 0, -3*l = 8*k - 5*k - 2823. List the prime factors of k. 941 Let t(y) = -y**3. Let d(l) = 8*l**3 - 6*l**2 + l - 3. Let v(z) = d(z) + 4*t(z). List the prime factors of v(4). 7, 23 Let n(l) = l**2 + 4*l - 5. Let k be n(-5). Let v(d) = -d**3 - d**2 - d - 41. Let g be v(k). Let q = g - -63. What are the prime factors of q? 2, 11 Let z = 51 - 76. Let v = 29 + z. Let p(m) = 6*m + 5. What are the prime factors of p(v)? 29 List the prime factors of 31454/42 + (-8)/(-84) + -5. 2, 3, 31 Suppose -5*o = -2*c + 19, -2*c + 4*o + 25 = o. Suppose 0 = -4*k - c + 109. List the prime factors of k. 23 What are the prime factors of (0 - (-12)/(-15))/(30/(-88050))? 2, 587 Suppose 0 = 3*i + 3*j + 2*j - 464, -3*j + 309 = 2*i. List the prime factors of i. 3, 17 Let q(o) = -o**3 + 2*o - 2. Let f be q(-3). Suppose k - 3*j = -f, -k + 2*j - 23 = j. List the prime factors of 10/k + 486/15. 2 Suppose -5*d + z + z + 500 = 0, d + 4*z - 122 = 0. Let i = d + -52. What are the prime factors of i? 2, 5 Suppose 5111 = 4*b - 4749. What are the prime factors of b? 5, 17, 29 Let s(m) = m**3 + 6*m**2 + 8*m + 2. Let k be s(-4). List the prime factors of (229/5)/(k/10). 229 Suppose 0 = -14*o + 18144 + 2506. What are the prime factors of o? 5, 59 List the prime factors of -8 - (7 + -640) - 7. 2, 3, 103 Suppose 2*n = -4*x - 65 + 2933, 4*x - 16 = 0. List the prime factors of n. 2, 23, 31 List the prime factors of 0/(-4) + (-4 - -749). 5, 149 Suppose -446 = 5*x - 7*x. List the prime factors of x. 223 Let c(w) = w**2 - w + 4. Let l be c(-8). Suppose 0 = -v - 3*r + l, 3*v + 2*r - 101 = 134. What are the prime factors of v? 79 Let f(h) = -7*h**2 - 5*h + 1. Let b(p) = p**2 - 1. Let a(d) = -3*b(d) - f(d). Suppose 5*u + 16 = 1. What are the prime factors of a(u)? 23 Suppose 0 = 3*q + 2*q - 3*c + 25, 13 = -4*q + c. Let n = 12 + q. List the prime factors of n. 2, 5 Suppose -2*b + 9595 = 5*x, 74*b = 4*x + 78*b - 7676. What are the prime factors of x? 19, 101 Let w(d) = 3*d**2 - 3*d - 2. Let s be w(-1). Suppose j + 2*u = 145, 3*j + s*u - 435 = 2*u. List the prime factors of j. 5, 29 Suppose 8457 - 35810 = -17*r. List the prime factors of r. 1609 Suppose -112 = -5*x - 2*g, -2*g - 2*g + 104 = 5*x. Suppose 1 = -c + a, -13 = -4*c - a + 3. Suppose 87 - x = c*t. What are the prime factors of t? 3, 7 Let m(x) = -x**3 - 6*x**2 + 29*x + 34. List the prime factors of m(-15). 2, 7, 29 Let g be (-202)/(-8) - 1/4. Let t be
{ "pile_set_name": "DM Mathematics" }
(48)/sqrt(6)))) + 1 + 4 + sqrt(1331)*2)**2. 320*sqrt(11) + 4464 Simplify -3 + (1*(4 + sqrt(931) + -5*sqrt(931) + 1 + 2 + 5))**2. -672*sqrt(19) + 15037 Simplify (((sqrt(180) + -1 + 1)*1 + (sqrt(180) + (sqrt(180) + sqrt(180) + -2 + sqrt(180) - sqrt(180)))*-2*-2)*5)**2. -31200*sqrt(5) + 762100 Simplify ((1 + sqrt(68) + sqrt(68))*-4*6 + (sqrt(17) - 3*sqrt(68)/sqrt(4)) + (sqrt(408)/sqrt(8))/sqrt(3))**2. 4656*sqrt(17) + 160529 Simplify ((-4*-5*5*(sqrt(65) - 1*sqrt(65)))/((sqrt(50)*-2)/sqrt(10) + -3*sqrt(5)*-3))**2. 0 Simplify ((-3*(sqrt(198)*-2)/sqrt(9))/(1*sqrt(275) - 5*(sqrt(11) + sqrt(99) - sqrt(11))) + -1)**2. 6*sqrt(2)/5 + 43/25 Simplify (-4*2*3*sqrt(5600))/(-4*(sqrt(392) + (sqrt(392) - sqrt(392)*4)*-1)). 15*sqrt(7)/7 Simplify ((sqrt(70)/(sqrt(14)/sqrt(2)))/(sqrt(50) + sqrt(1250)) + (1*sqrt(10)*1)/(sqrt(160)/sqrt(5)))**2 + 3. 2449/720 Simplify (sqrt(880)*1 + sqrt(55)*-2*2)/((sqrt(405) - (sqrt(405)*4 + sqrt(405))) + sqrt(405) + sqrt(405) - 4*sqrt(500)). 0 Simplify 3 + (sqrt(450)*-6*-2)/(sqrt(225) - (sqrt(225) - 4*(sqrt(225) + sqrt(225)*-1 + sqrt(225))) - sqrt(225)) + 2. 5 + 4*sqrt(2) Simplify 2 + ((-1*(sqrt(7) + 2) + (sqrt(343) + 1 + sqrt(343) - sqrt(343)) - -6*(sqrt(7) + sqrt(847) + 0 + sqrt(847) - (sqrt(28) + 4 + sqrt(7))))*-6)**2. -226800*sqrt(7) + 4023254 Simplify -2*((3 + sqrt(80) + sqrt(45)*1)**2 + 1 + sqrt(140)/(sqrt(7)*2) + sqrt(20)). -510 - 90*sqrt(5) Simplify -3*-5*(4 + (3*(-2*sqrt(243) + 2))**2) + 1. -9720*sqrt(3) + 131821 Simplify 3 + 4 + (3*(sqrt(242) + sqrt(242) + 0))**2 + (sqrt(22)/(sqrt(704)*-1) - (sqrt(12)/(sqrt(6) + (sqrt(294) - (sqrt(294)*-1 + sqrt(294)))))**2). -sqrt(2)/8 + 279007/32 Simplify ((sqrt(22) - (sqrt(22) + -2*(sqrt(22) + sqrt(550)))) + sqrt(22))/(-2*sqrt(11)*5) + (3 + sqrt(98)*3 + 4)**2. 2927*sqrt(2)/10 + 931 Simplify -5*4*(-5*(sqrt(32) + 2*sqrt(2592) + sqrt(2592) + sqrt(2592)))/(sqrt(16)/(sqrt(4) + sqrt(64)*1)) + 5. 5 + 37000*sqrt(2) Simplify -3*(-3 + (3*(sqrt(17) + sqrt(17) + sqrt(17) + sqrt(170)/sqrt(90)) - (2*sqrt(68) + 1)**2)*-5). -4086 + 30*sqrt(17) Simplify -4 + (sqrt(833) + -2)*4 - -3*(sqrt(272) + (sqrt(272) - (-3*sqrt(272) + sqrt(272)))*-5 + sqrt(272))**2. 28*sqrt(17) + 137892 Simplify ((sqrt(304)*-2*-4 + sqrt(304) - sqrt(304)) + -5*(1 + sqrt(304)) + -3)**2 + sqrt(931) + (-1 + sqrt(931))**2 + 4 + sqrt(931) + (sqrt(304))**2 + -2 + 4. -192*sqrt(19) + 4042 Simplify ((-1*(1*sqrt(27))/sqrt(3))/((sqrt(12)*2)/sqrt(4)*4))**2. 3/64 Simplify ((6*1*sqrt(245) + sqrt(245))/((sqrt(28)*-1)/sqrt(4) + sqrt(7) + sqrt(7)))/(sqrt(175)*-3 + 3*sqrt(28)). -7*sqrt(5)/9 Simplify -3 + ((sqrt(320)*-2)/sqrt(10))**2 - (sqrt(24)/(-1*sqrt(12)))**2*1*5. 115 Simplify ((-1 + sqrt(1539))*-2 + 4 + sqrt(1539) + -1 - (4 + sqrt(76)/sqrt(4) + 5 + (-1 + sqrt(76))*1))**2. 72*sqrt(19) + 2745 Simplify (2 + ((-1*sqrt(72) + 2)**2 - (sqrt(72)*1 + -4)) + -3)*-3 + -5. -242 + 90*sqrt(2) Simplify 4*((sqrt(363) + 2)*3*-2*-5 + -5)**2*3. 435600*sqrt(3) + 3956700 Simplify 6*((sqrt(700) + -1*sqrt(700) + -1)*6 - (-3 + sqrt(700) + -3*1*sqrt(700)))*-6. -720*sqrt(7) + 108 Simplify ((sqrt(238)*-1)/sqrt(7))/((sqrt(4)*2)/sqrt(2))*6 - (((-5 + 1 + sqrt(17))*1)**2 + 1 + -3). -31 + 5*sqrt(17) Simplify ((-6*sqrt(245)/(5*-2*sqrt(7)))/(-6*1*-2*sqrt(720)))**2. 7/57600 Simplify (sqrt(1029)*1 + sqrt(147)/(3*sqrt(7)))/(-2*((sqrt(1008) - 4*sqrt(1008)*1) + sqrt(1008) + sqrt(1008))). 11*sqrt(3)/36 Simplify (sqrt(5) - -6*sqrt(30)/sqrt(6) - sqrt(5)) + 0 + -5 - ((-2*sqrt(80))**2 + (4*(sqrt(5) + 0) + sqrt(5))**2 + 2). -452 + 6*sqrt(5) Simplify (sqrt(275) + 2 - sqrt(11) - -2*(sqrt(275) - sqrt(11)) - (2*sqrt(66)*-2)/(sqrt(6) + sqrt(42)/sqrt(63)))**2*-6. -14874 - 360*sqrt(11) Simplify ((sqrt(450) - (sqrt(450) - (sqrt(450) + 2*sqrt(450) + sqrt(450)))*-4 - sqrt(450))/(-1*sqrt(9)*-1))/(-5*sqrt(360)*2 - -5*1*sqrt(360)). 2*sqrt(5)/5 Simplify 5*(5*(-2 + sqrt(98)) + -4 - (-1 + sqrt(98) + -1*sqrt(98)*2)**2). -565 + 105*sqrt(2) Simplify ((sqrt(135) + sqrt(135) + (sqrt(135)*1 + sqrt(135))*-1)*2)/(5*sqrt(135)/sqrt(3))*-3 + -3. -3 Simplify (4*(sqrt(7200)*-4*4 - sqrt(7200)))**2 - ((sqrt(450)*-1)/sqrt(9) - ((5*sqrt(150))/sqrt(3))**2). 5*sqrt(2) + 33294050 Simplify -5*(((sqrt(187) + sqrt(187) + 2*sqrt(187) - sqrt(187))*5)/(sqrt(99)*-2) + (5*(sqrt(34) + sqrt(136)/sqrt(4)))/(sqrt(2) + (sqrt(8) - sqrt(32)))). 125*sqrt(17)/2 Simplify ((6*((sqrt(132) - sqrt(132)*2)*1 - (sqrt(132) - (sqrt(132) + (sqrt(132) - 3*2*sqrt(132))))))/((2*sqrt(48) + sqrt(24)/(sqrt(8)/sqrt(4)))*4))**2. 891/25 Simplify (((sqrt(126)*2)/sqrt(7))/((sqrt(54) - (-2*sqrt(54) + sqrt(54)))/sqrt(9)) + (sqrt(363) + -1)**2 + (-4 + (sqrt(3) - 3*sqrt(3)))**2)*-4. -1568 + 20*sqrt(3) Simplify (-6*(sqrt(700) + 2 + sqrt(700) + -5))**2 + 5 + (sqrt(700) - (sqrt(700) - ((3 + sqrt(700) - sqrt(700)) + 1)**2)) + 3. -4320*sqrt(7) + 101148 Simplify -2*-2*(-2*(sqrt(275) + sqrt(275) + 0 + -1) + (sqrt(275)*-1 + -1)*3)**2. 280*sqrt(11) + 53904 Simplify -2 + (3*(-5 + -4 + sqrt(20)/sqrt(4)))**2 + -5*(sqrt(320) + 2) + 3 + (2*sqrt(320))**2. -202*sqrt(5) + 2045 Simplify (-3*(4*sqrt(80)*4 + -2) - (4 + (-1 + sqrt(5))*-2 + (sqrt(20) + 5)*2))**2. 3880*sqrt(5) + 188280 Simplify (((1 + sqrt(17))*4 + sqrt(204)/sqrt(108))*-2)**2 - -4*((sqrt(17) - sqrt(272)*-2)**2 + sqrt(17)*-2*-4). 512*sqrt(17)/3 + 61640/9 Simplify (-1 + (-2*sqrt(119)/(sqrt(7)*-2))**2 + (sqrt(272) + 1 + sqrt(272))**2*-5 + 1)*3 + 3. -16281 - 240*sqrt(17) Simplify (-2 + (sqrt(130) + -4*(sqrt(130) + -1*sqrt(130)) + -4*sqrt(130)*2)/(sqrt(120)/((sqrt(240)/sqrt(4))/sqrt(5))))*2. -14*sqrt(13) - 4 Simplify ((sqrt(1274) - sqrt(26))*2 - (sqrt(26) - sqrt(3744))*-3)/(sqrt(54)/(-5*sqrt(432) - sqrt(432))). 504*sqrt(13) Simplify (-1*(5*(sqrt(170)*-2 - sqrt(170)) - 5*sqrt(170)*2))/((2*sqrt(120) + sqrt(120))/(-3*(sqrt(48) + sqrt(3) - sqrt(3)))). -50*sqrt(17) Simplify (((sqrt(72) + 4)*-3*3 + (-1 + 3*sqrt(200))*1)*2)**2. 7104*sqrt(2) + 10084 Simplify (2*sqrt(102)/(sqrt(12)/(sqrt(2)*1)) + -3 - (-5 + ((sqrt(102) + sqrt(102)*2 - sqrt(102))*4 - sqrt(102))/(sqrt(24)*-5)))**2. 54*sqrt(17)/5 + 12793/100 Simplify (-2*4*-2*sqrt(72)*-1)**2 + 1*((-2*sqrt(72) + 5)**2 - sqrt(72))*4 + 5. -504*sqrt(2) + 19689 Simplify (sqrt(156) - (1*sqrt(156)*4 + sqrt(156)) - -4*3*sqrt(156))/((5*1*sqrt(144))/(sqrt(144)/(sqrt(24)/sqrt(2)))). 8*sqrt(13)/5 Simplify (3*(sqrt(76) - (-3*sqrt(76)*-6 + sqrt(76)))*-2)/(-4*-3*sqrt(64)*-6). -3*sqrt(19)/8 Simplify (3*(4*-1*sqrt(190) + sqrt(190) - sqrt(190))*4)/(sqrt(640)*1 + 1*sqrt(40)). -24*sqrt(19)/5 Simplify ((4*sqrt(80)/sqrt(2))/(sqrt(48)/(-2*sqrt(6))))**2 - ((sqrt(60) - (-2*sqrt(420))/sqrt(7))/(sqrt(36)/sqrt(3)*2))**2. 1235/4 Simplify (-1*-4*(1*sqrt(425)*-3 + sqrt(425)*3 + 5))**2 + 1. 401 Simplify -1*3*5*(6*sqrt(66)/(sqrt(6)*1) + (sqrt(88) + (sqrt(88) - ((sqrt(88)*1 + sqrt(88))*-5 - sqrt(88))) + sqrt(88))/sqrt(8)). -300*sqrt(11) Simplify ((sqrt(3)*-1 + -5 + (sqrt(36)/sqrt(4))/sqrt(3))*-4)**2 + (sqrt(75)*6 + -3*sqrt(3)*3)**2. 1723 Simplify -5*2*(-5 + ((sqrt(175) + sqrt(175)*3)**2*-5 - (sqrt(175) + -1 + -4))*5). 250*sqrt(7) + 699800 Simplify ((sqrt(425) - (sqrt(425) + -1 + 4))*4 + 4)**2 - (-6*-6*(sqrt(17) + -1) - 4*(sqrt(272) + 5 - sqrt(17))). -24*sqrt(17) + 120 Simplify (sqrt(95)*-1*1 - (sqrt(95) - -5*sqrt(95)*-3))/(2*sqrt(10)/(sqrt(8)*1)). 13*sqrt(19) Simplify 0 + ((-5 + 1 + sqrt(1300))*1 + 1 + -5)*5 + -3. -43 + 50*sqrt(13) Simplify (-4*-2*4*sqrt(187)*-1)/(-4*sqrt(539) - sqrt(11) - (-5*sqrt(121) + sqrt(121))/sqrt(11)). 32*sqrt(17)/25 Simplify 5 + 4 + (sqrt(5808)*-4)**2 + -2 + (3*sqrt(3)*5 + sqrt(3))*-6. -96*sqrt(3) + 92935 Simplify -1 + (3*(sqrt(72) + 0))**2 + sqrt(72)*2 + -1 - ((sqrt(200) - (sqrt(18) + 2)) + 5)**2. -30*sqrt(2) + 539 Simplify (sqrt(112)/(sqrt(288) - sqrt(8)) - (sqrt(2744) - sqrt(14)))/(sqrt(2048) - (sqrt(2048) + sqrt(2048) + 3*sqrt(2048)*3)). sqrt(7)/25 Simplify (5*3*((sqrt(99) - (sqrt(99) + 3)) + -3 + 4 - -4*2*sqrt(99)*2))**2. -43200*sqrt(11) + 5703300 Simplify ((2*sqrt(76)*3 + sqrt(76) + (sqrt(76) - (sqrt(76) + 2*sqrt(76)))*2)/(sqrt(1600) - (sqrt(1600) - sqrt(1600)*2*3) - sqrt(1600)))**2. 171/10000 Simplify ((2*sqrt(153)*3 - sqrt(153) - (sqrt(153) - (sqrt(153) - 1*sqrt(153)*-2)))/(-3*(sqrt(324)*-2 + sqrt(324)) + (-4*sqrt(324)*-2 - sqrt(324))))**2. 833/3600 Simplify 1*sqrt(180)*5 + 5 + 1 - 6*((sqrt(180)*-2)**2*-5 + -4). 30*sqrt(5) + 21630 Simplify -3 + (-3 + -1*3*(sqrt(55)/(3*sqrt(11)*2) - (sq
{ "pile_set_name": "DM Mathematics" }
- 1177. Let j = 187 + d. What is the units digit of j? 4 Let w(l) = 103*l**3 - l**2 - 2*l - 1. Let t be w(-1). Let p = -72 - t. Suppose -38 - p = -3*k. What is the tens digit of k? 2 Let w(i) = 2*i**2 - 9*i - 3. Let n(q) = -6*q**2 + 26*q + 10. Let a(z) = -4*n(z) - 11*w(z). What is the units digit of a(10)? 3 Let k = 2 + -12. Let a be 1242/45*k/(-3). Suppose 3*f - 4*h = a, -5*f + 2*h + 148 = -10. What is the tens digit of f? 3 Let z be 50/1*24/20. Suppose 0 = l - 2*l + z. What is the tens digit of l? 6 Suppose 2*a - 4 = -g + 2, -14 = -5*g - 2*a. Let h be g + 0 + 0 - 32. What is the tens digit of (-75)/h*32/5? 1 Let u = 96 + -96. Suppose u = 38*r - 33*r - 900. What is the tens digit of r? 8 Let p = -2 + 2. Suppose p = -3*o + 58 + 68. Let q = -24 + o. What is the units digit of q? 8 Suppose -13*k + 4*k = -4167. Let w = k + -267. What is the hundreds digit of w? 1 Suppose 1 = 2*y - 1. Let t(h) = -h**3 + 9*h**2 - 9*h + 6. Let u be t(7). Suppose 3*w = u + y. What is the units digit of w? 4 Suppose 53*u - 49*u = 28. Suppose -59*w + 60*w = u. What is the units digit of w? 7 Let c = 5 + -26. Let s = c + 13. What is the units digit of (-1 - -14)*(-8)/s? 3 Let d = 9 + -3. Suppose 4*q - 8 = 2*w, 8*w + d = 5*w. Suppose 11 = 2*x + 5*b - 11, -3*x + b = q. What is the units digit of x? 1 Let p(z) be the first derivative of -16*z**2 + z + 6. What is the tens digit of p(-1)? 3 Let b(c) = 0*c - 11*c - 3*c - 4 - 5*c. Let a be b(-2). Suppose 4*k - 10 = a. What is the units digit of k? 1 Suppose 2*o = -3*o + 10. Suppose -n = 3*v - 170, -o*v = 2*n + 2*n - 650. What is the hundreds digit of n? 1 Let r = 19 + -30. Let o(i) = -i**2 - 9*i + 27. What is the units digit of o(r)? 5 Let v = 299 - 158. Let g = 203 - v. What is the tens digit of g? 6 Suppose -5*p + 4*m = 2*m - 720, 2*m + 428 = 3*p. What is the tens digit of p? 4 Suppose 3*w - 9 = 0, 4*q + 669 = 3*w + 112. Let a = 60 + q. What is the units digit of a/(-7) + (0 - -2)? 3 Let n be (-4)/((-12)/(-9)) + -3. Let t(b) = -b**3 - 23*b**2 + b + 36. Let i be t(-23). Let f = i + n. What is the units digit of f? 7 Let w(q) = -q - 2*q + 14 + 92 + 5*q. What is the tens digit of w(0)? 0 Suppose f - 276 = -49. Suppose 5*j = -w + 93, 3*w + 4*j - f = 2*j. What is the tens digit of w? 7 Let f be -3*76/6 - (-12)/(-6). Let u = 153 + f. What is the tens digit of u? 1 Suppose 4*i = 2*y - 1494 - 474, -3*i = 2*y - 2003. What is the hundreds digit of y? 9 Suppose 4*t + 4*w + 344 = 0, -t - 2*w = 35 + 52. Let g = 179 + t. What is the tens digit of g? 9 Let q = 12248 + -8096. What is the tens digit of q? 5 Suppose -2 + 25 = s. Let p = s - 22. What is the units digit of p? 1 Suppose 3*j - 567 = -0*j. Let a = 290 - j. What is the units digit of a? 1 Suppose 3*a = 5*z - 73, -2*z - 10 = -4*z. Let t = a + 24. Suppose -2*x + 12 = -t. What is the tens digit of x? 1 Let u = 36 - 34. Let k be 64 - u*(4 + -2). Let l = -23 + k. What is the tens digit of l? 3 What is the hundreds digit of 10/(-4) + (-6 - (-5178)/12)? 4 Let g(a) = -a**2 - 10*a - 5. Let k be g(-9). Let j(t) = t + 9. Let l be j(-6). Suppose 5*f - l = k*f. What is the units digit of f? 3 Suppose -2*f + 3*f = 3*p + 43, 4*p - f = -58. What is the units digit of ((-27)/p)/(((-27)/10)/(-9))? 6 Let v = -25 - -27. Suppose -a - 2 + 3 = -2*s, -3*s - 26 = v*a. Let j = a - -32. What is the units digit of j? 5 Let u = 75 - -395. What is the units digit of u? 0 Suppose 0 = 5*c - 4*h + 756, -h - 424 = 3*c + 4*h. What is the units digit of 5 + -8 - -4 - c? 9 Let v = 26 + -4. Let k = -21 + v. What is the units digit of -1 + 2 + (k - -44)? 6 Suppose 12 + 19 = m. What is the tens digit of m? 3 Let h(p) = -2*p. Suppose -3 = -3*x + 6*x. Let q = -2 - x. What is the units digit of h(q)? 2 Let r(o) = -38*o. What is the units digit of r(-16)? 8 Let w be 66*(5/3)/1. Let l(k) = -3*k**2 + 53*k - 42. Let n be l(18). Let i = n + w. What is the units digit of i? 0 Let x(b) be the third derivative of -1/60*b**5 - 1/24*b**4 + 1/120*b**6 + 0 + 3*b**2 + 5*b**3 + 0*b. What is the tens digit of x(0)? 3 Let a(f) = -f**3 + 13*f**2 + 12*f + 21. What is the tens digit of a(7)? 9 Let u = 28 + -52. Let x be (2/(-6))/(2/u). Suppose 18 = n - x. What is the units digit of n? 2 Let z = -2846 + 5788. What is the thousands digit of z? 2 Suppose -2*x + 146 = b, -5*x + 0*b = -3*b - 387. Let i = 186 - x. What is the hundreds digit of i? 1 Let n be (-25 + 27)*(-1)/(2/(-11)). Let d = n + 173. What is the tens digit of d? 8 What is the hundreds digit of -7546*1/(-18) + (-4)/18? 4 Let q(k) = -k + 6. Let x be q(6). Suppose x = 3*s + 3*s - 18. Let u = s + 8. What is the units digit of u? 1 Suppose 0 = r + r - 8, -3*i + 5*r = -1624. What is the hundreds digit of i? 5 Suppose 23790 + 2803 = 29*h. What is the tens digit of h? 1 What is the tens digit of (-105 + -5)*3/((-48)/88)? 0 Suppose 61*s + 1186 = 62*s. What is the hundreds digit of s? 1 Let i(h) = h**3 + 13*h**2 - 14*h + 4. Let g be i(-14). Let a(u) = 11*u + g*u + 5*u - u. What is the units digit of a(1)? 9 Let t be (-15)/(-10) - (-519)/6. What is the tens digit of ((-12)/(-8))/3*t? 4 Suppose -15*p = -4*p - 3718. What is the units digit of p? 8 Let j(l) = l**2 + l + 170. Let s = 10 + -10. Let v be j(s). Suppose -4*q - q = -v. What is the tens digit of q? 3 Suppose -l = 2*j - 660 - 615, -2*j = -2*l - 1290. What is the tens digit of j? 4 Suppose h - 5*n - 14 = 0, 8 = 7*h - 3*h + 4*n. Suppose -5*m - 2*z + h - 2 = 0, 5*m - 22 = 3*z. What is the units digit of 2 - m - (-9 + -1)? 0 Suppose 5*i - 168 = 227. Suppose 21 = -j - 3*w + i, 3*w + 174 = 3*j. What is the tens digit of j? 5 Let v = 111 + -156. Let h = 49 + v. What is the units digit of h? 4 Let x(k) = 6*k**2 + 3*k - 1. Let d be (-54)/15 + 9/15. What is the tens digit of x(d)? 4 Suppose 0 = 16*h + 34*h - 83400. What is the thousands digit of h? 1 Let x = -152 + 310. Let r be x/(-2) - (4 - 0). Let c = r - -137. What is the tens digit of c? 5 Let o be (-2 + 5)/((-3)/(-5)). Suppose -o*x + 9*x = 32. Suppose 3*k + 130 = x*k. What is the units digit of k? 6 Let x be -1*(256*5)/(-5). Suppose -x = -4*w + 4*s, w = -5*s + 25 + 45. What is the tens digit of w? 6 Let n(o) be the second derivative of -o**4/12 - o**3/2 + 3*o**2/2 - o. Let k(s) be the first derivative of n(s). What is the units digit of k(-3)? 3 Let p(l) = -l**3 - 20*l**2 + 19*l - 11. Let x be p(-21). Suppose 3*y + 5*h + 67 = y, 3*y + h = -81. Let m = x + y. What is the units digit of m? 5 Suppose -4*w - 1578 = 2*h - 5904, 0 = 5*h - w - 10804. What is the hundreds digit of h? 1 Let k(w) = -4 - 3*w - 5 + w**2 - 4*w. What is the units digit of k(-6)? 9 Let w be 126/10 - 6/(-15). Let u = w - 11. Suppose -y = 5*c - 173, -2*c + 101 = c + u*y. What is the tens digit of c? 3 Suppose -10*n = -21*n + 4543. What is the units digit of n? 3 What is the units digit of (-8)/(-92) - (-835428)/276? 7 Let z = 6 - -204. Suppose 0 = i - 6*i + z. What is the units digit of i? 2 Let n = -3523 + 6251. What is the hundreds digit of n? 7 Let a(h) = -h**2 - 9*h - 4. Suppose 7 - 1 = 3*m. Let g = m - 10. What is the units digit of a(g)? 4 Let l(o) = -20*o + 205. Let d(s) = -4*s + 41. Let m(i) = 11*d(i) - 2*l(i). What is the hundreds digit of m(-18)? 1 Suppose -2*a + 4*n = -4*a + 3072, 0 = 2*n - 6. What is the thousands digit of a? 1 What is the thousands digit of 1896 - (-6 - -12)/6? 1 Let m be (12/(-28))/((-1)/7). Suppose 14 = m*b - 1. What is the units digit of 1*b/(5/29)? 9 Let p be (-1)/((-2)/6) - 2. Suppose 5*k = i - 12, 4*k + 15 + p = 4*i. Suppose 0 = 6*d - i*d - 196. What is the units digit of d? 9 Suppose 13*w - 3280 = 5*w. Suppose 2*p + w = 7*p. What is the units digit of p? 2 Let l(k) = -k**3 - 9*k**2 + 7. Let i be l(-9). Let b = 27 + i. What is the tens digit of b? 3 Suppose -3796 + 187 = -9*l. What is the hundreds digit of l? 4 Let u = -79 - -154. Suppose -5*y = 25 - u. Let i = y + 23. What is the units digit of i? 3 Suppose 0 = h - d - 484, 2*h = -4*d + 111 + 881. What is the tens digit of h? 8 Let t = 377 + -195. What is the units digit of t? 2 What is the hundreds digit of 1*-19*4/((-24)/354)? 1 Suppose -5*z = 2*a - 0*a - 23, 4*z = a + 8. Let c be 49/z + 7/(-21). What is the units digit of (0 + 1)*(25 + c)? 1 Suppose -50064 = 80*m - 94*m. What is the tens digit of m? 7 Let h(x) = 10*x**2 + 9*x -
{ "pile_set_name": "DM Mathematics" }
(20)/sqrt(4))**2*-4 + sqrt(30)/sqrt(6)*-1 - ((5 + sqrt(720) - sqrt(720)) + -2)**2*1. -29 - sqrt(5) Simplify (-6*(6*((-4 + (sqrt(720) - (-1 + sqrt(720))) - 6*(4 + sqrt(720))) + -4) + 3))**2. 5692032*sqrt(5) + 34797924 Simplify 1 + (5 + (5 + -3 + sqrt(80) + 2)**2 - (-2 + sqrt(80) + 1 - (-4 + sqrt(80) + -2*sqrt(80) + sqrt(80)))**2). 13 + 8*sqrt(5) Simplify ((sqrt(110)*-2*1 + -2*sqrt(110)*-3)/(-2*(2*sqrt(810) - sqrt(810))*1))**2. 44/81 Simplify 5*(-1 + (sqrt(500) - (sqrt(500) + 2)) - ((sqrt(500) + -3)**2 + 5))*-3*3. -2700*sqrt(5) + 23265 Simplify (3*6*6*((sqrt(125) + sqrt(125) + (-4*sqrt(125) - sqrt(125) - sqrt(125)) + sqrt(125) + 2)*-2 + -5))**2. -6298560*sqrt(5) + 53432784 Simplify -3*((2 + sqrt(98) + -1 + -5 + -3 + 4 + sqrt(98)*-1)*-4 + 5)**2. -867 Simplify sqrt(147)*2 + -2 + (sqrt(147) - 5*(sqrt(147) + (-1*sqrt(147) + sqrt(147) - sqrt(147))**2)) - (-1*(3*sqrt(147) + -4 + sqrt(147) + 2))**2. -3093 + 98*sqrt(3) Simplify (5 + ((sqrt(605) - (sqrt(605) + (sqrt(605)*-1*4 + sqrt(605) - sqrt(605))))*-2 + 4*6*(sqrt(605) + sqrt(605) + 1 + sqrt(605)))*-2)**2. 121088*sqrt(5) + 9914169 Simplify -1 + -6*((sqrt(1584) + (-5*sqrt(1584) - sqrt(1584))*2 - sqrt(1584))**2 + (sqrt(1331) - (1*(1 + sqrt(1331)) + sqrt(1331)))) + -5. -1368576 + 66*sqrt(11) Simplify -6*-4*-3*-1*(sqrt(7) + (sqrt(63))**2 + -1 + (1 + sqrt(7) + 3)**2)*-2. -12240 - 1296*sqrt(7) Simplify (4*(sqrt(637) + 1 + 2))**2 + -2 + 1*(sqrt(637) + 0) + sqrt(637) + -4 + -1*sqrt(637). 679*sqrt(13) + 10330 Simplify (-1*((-5 + sqrt(114)/sqrt(6) - -6*sqrt(1216)) + (-4 + sqrt(19) + 2 - (sqrt(2736) + 1 - sqrt(2736)))))**2. -800*sqrt(19) + 47564 Simplify -2 + (sqrt(475) + ((sqrt(475) - (-2 + sqrt(475))) + 3)**2 + sqrt(475) + (2*sqrt(475)*5)**2 - ((-1 + sqrt(475))*-5 - (-2 + sqrt(475) + -2))). 40*sqrt(19) + 47514 Simplify -3*((-4*sqrt(100)/sqrt(2))/(sqrt(30)/(sqrt(3) + sqrt(6)/sqrt(2))) + -4 + ((2*sqrt(5) + -1)*-6)**2). -2256 + 456*sqrt(5) Simplify -3 + ((-3*(sqrt(275) + 2) + -1*sqrt(275) + 1)**2 - 5*((sqrt(176)*2 + sqrt(176))**2 + 1)). -3503 + 200*sqrt(11) Simplify (sqrt(48)/(-1*sqrt(3)))/(sqrt(8) - (sqrt(648) + -2*sqrt(648) + sqrt(648))) + 5*(5*sqrt(128) + 5). 25 + 199*sqrt(2) Simplify 4 + (1 + sqrt(2187) + sqrt(2187) + -1)**2 + 3*((1 + sqrt(3267))**2 + (sqrt(54)/sqrt(2) + 5)**2). 288*sqrt(3) + 18712 Simplify -2 + -3*3*(-4*(sqrt(19) - (sqrt(19) - sqrt(76)/sqrt(4))) + sqrt(19) + (sqrt(19)*-1 + 4)**2)*-6*-6. -11342 + 3564*sqrt(19) Simplify (-1*1*sqrt(209) - sqrt(209) - (sqrt(209) + sqrt(209) + (sqrt(209) - sqrt(209)*-3)*4))/((sqrt(11) + (sqrt(275) - (sqrt(275) - -5*sqrt(275))))*-4*-3). 5*sqrt(19)/72 Simplify -4*(((-5 + (sqrt(891) + -5*sqrt(891)*-2 - sqrt(891) - sqrt(891)))*3)**2 + (-1*((sqrt(891) - sqrt(891)*-1) + -2 - sqrt(891)))**2 + 3). -2602648 + 29304*sqrt(11) Simplify -1 + -4*sqrt(51)/sqrt(3) + sqrt(306)/sqrt(2) - (3 + sqrt(68)/(sqrt(8)/sqrt(2)) + 3). -2*sqrt(17) - 7 Simplify (-2*(5*sqrt(85)*-2 - (-2*(sqrt(85)*1 + sqrt(85)) - sqrt(85))))/(((sqrt(15) - (sqrt(15) + sqrt(15)*-2))*-3)/(sqrt(48)/sqrt(4))). -10*sqrt(17)/3 Simplify ((sqrt(130)*4*3 + (sqrt(130) - (-4*((sqrt(130) - -1*sqrt(130)) + sqrt(130)) - sqrt(130))))/(sqrt(160) + (sqrt(100)/(sqrt(90)/sqrt(9)) - sqrt(10))))**2. 2197/4 Simplify (-3 + 2 + (1 + sqrt(2205))*6 + ((1 + sqrt(2205))*-5 + sqrt(2205) - sqrt(2205)) + -5 + -5)**2. -420*sqrt(5) + 2305 Simplify (1 + 5 + -2*(5 + -1*(sqrt(1539) + 5*(sqrt(1539) - (1*sqrt(1539) + sqrt(1539))) + (sqrt(1539) - (sqrt(1539) + 1 + 0)))))**2. 864*sqrt(19) + 98532 Simplify 5 + (-1*5*-5*-4*(sqrt(208) + 0)*-6)**2. 74880005 Simplify 6*(-1*((sqrt(27)*-1*-1)/sqrt(9) - (-1 + (sqrt(60)/sqrt(4))/sqrt(5)))*4)**2. 96 Simplify (2 + 4 + 2*sqrt(567) + (sqrt(567) - (sqrt(567)*2*5 + sqrt(567))) + 6*sqrt(567)*-1*-4)**2 + -3 + 2. 1728*sqrt(7) + 145187 Simplify ((-3 + sqrt(147) + -1 + sqrt(147) + -5 + sqrt(147) + (-5 + 2*sqrt(147))*-6)*-6)**2 + -1 + -3. -95256*sqrt(3) + 444524 Simplify (-3*(-5*sqrt(272)*-2 - (sqrt(272) + -1)*-2))**2 + 6*(sqrt(272) + -3 + (2 + sqrt(272) - sqrt(272))**2) + -4. -1704*sqrt(17) + 352550 Simplify -6*(4 + (sqrt(1584) + (-3 + sqrt(1584))*-5 - (sqrt(1584) - (sqrt(1584) + (sqrt(1584) - sqrt(1584)*1))*-6)**2))*2. 576*sqrt(11) + 931164 Simplify (sqrt(3388)*-3)/sqrt(4) + -4 - (5 + sqrt(28) + -3 + sqrt(7) + (-3 + sqrt(7)*-2)**2). -48*sqrt(7) - 43 Simplify (sqrt(288)/(sqrt(12)/sqrt(2) + sqrt(6)) - (2 + sqrt(3072) + sqrt(48)) - ((sqrt(48) - sqrt(144)/sqrt(3)) + 1 + 5*sqrt(144)/sqrt(3)))**2. 324*sqrt(3) + 8757 Simplify ((1*5*sqrt(136)*-1*2)/(sqrt(1152) - ((-1*sqrt(1152) + sqrt(1152))*3 + sqrt(1152)) - (-1*sqrt(1152) - sqrt(1152))*-6))**2. 425/5184 Simplify (-4*(-1 + (2*sqrt(312)/(sqrt(16)/sqrt(2)))/(sqrt(24)/(sqrt(72)/(sqrt(18)/sqrt(2)))) + 2))**2. 64*sqrt(13) + 848 Simplify 1 + 1 + -2*-4*((sqrt(363) + -2)*-2 + 2). -176*sqrt(3) + 50 Simplify 6*(-3*(sqrt(42)/sqrt(2))/sqrt(3))**2 + -3 - ((sqrt(98)/(sqrt(2)*-2))/(sqrt(21)/sqrt(3)*4) + -5). sqrt(7)/8 + 380 Simplify ((3*sqrt(405)*2)/(sqrt(144)*-2 + sqrt(1089)*-2 + sqrt(9)) + -3)**2. 108*sqrt(5)/29 + 9189/841 Simplify ((sqrt(320) + sqrt(320)*-4 - sqrt(100)/(sqrt(50)/sqrt(10)))/((-4*(sqrt(8) - 2*sqrt(8)))/(sqrt(10)/sqrt(5)*-5 + sqrt(2))))**2. 845 Simplify (-3*sqrt(77)*1 + sqrt(77) + (sqrt(77) - sqrt(77)*-2*-5))/(3*sqrt(176)*1*-6). 11*sqrt(7)/72 Simplify ((sqrt(152) + sqrt(152)*2*-2 + sqrt(152) - sqrt(152))*-3)/((sqrt(288) + sqrt(288)*-2 - sqrt(288))*5). -3*sqrt(19)/20 Simplify ((sqrt(1368) + -3*sqrt(1368) + sqrt(1368))*4 - sqrt(1368))/(5*sqrt(200) - sqrt(200)). -3*sqrt(19)/4 Simplify (2*sqrt(9072) + sqrt(9072) + sqrt(441)/(sqrt(21)/sqrt(3)))/((2*sqrt(216))/sqrt(6)) + -5. -5 + 37*sqrt(7)/4 Simplify 3*-4*(sqrt(931) + (sqrt(931) - (sqrt(931)*1 + 5) - sqrt(931)) + (sqrt(931) - (3 + sqrt(931)*4 + sqrt(931))**2) + -1). 2436*sqrt(19) + 279480 Simplify ((-5*4*(-1*sqrt(68) + sqrt(68)))/(sqrt(64)*-1 + sqrt(64) - sqrt(20)/sqrt(45))*-2)**2. 0 Simplify ((2*sqrt(120)/sqrt(2) - sqrt(300)/sqrt(80))*5)/((-4*-2*sqrt(144))/sqrt(12)*-4)*5. -175*sqrt(5)/128 Simplify 6*(4*(2*sqrt(85)*-2 - sqrt(85) - -4*2*sqrt(85)))/((sqrt(15)/sqrt(3)*4 + sqrt(15)/(sqrt(12) + sqrt(3)) + sqrt(5))*-6). -9*sqrt(17)/4 Simplify (-2*(4*sqrt(350) + sqrt(350))*-6)/(-4*(sqrt(8)*3 + sqrt(288)*-1)). 25*sqrt(7)/2 Simplify ((sqrt(11) - -1*sqrt(1100)) + -4 + sqrt(11) + 5 - (sqrt(121) - 4*(sqrt(121) + 2*sqrt(121)))/(sqrt(539)*-1 - sqrt(539)))**2*4. 628*sqrt(11)/7 + 271335/49 Simplify (-6*(-6*-1*sqrt(336))/(sqrt(240)/sqrt(5)))**2*-2. -18144 Simplify (-6*(sqrt(114) + -2*sqrt(114) + sqrt(114)))/(3*1*sqrt(6)) - (sqrt(152) + (sqrt(152)*-2*-5 - sqrt(152)))/(sqrt(40)/sqrt(5)*-3). 10*sqrt(19)/3 Simplify (-3*(4 + (sqrt(1539)*1 + -3 - (sqrt(1539) + -2 + -1*sqrt(1539))))*-4)**2. 7776*sqrt(19) + 222912 Simplify (0 + sqrt(5) + sqrt(25)/sqrt(5) + 1 + ((sqrt(40) - sqrt(120)/sqrt(3))/sqrt(2))**2)*2. 2 + 4*sqrt(5) Simplify ((sqrt(280)*2*1)/(1*sqrt(32)))/(3*((sqrt(125)*-1 - sqrt(125) - sqrt(125))*-5 + sqrt(125))). sqrt(7)/240 Simplify (sqrt(1008)*-5)/((sqrt(112)/sqrt(4))/sqrt(7)) + ((-4*(sqrt(168) - -1*sqrt(168)))/((sqrt(54)/sqrt(3))/sqrt(3)))**2. -30*sqrt(7) + 1792 Simplify ((5*sqrt(180)*-2 - sqrt(180)) + -3*sqrt(180)*-2)**2*-3 - (-4 + (sqrt(180) + -2*sqrt(180)*-2 + sqrt(180))*4). -13496 - 144*sqrt(5) Simplify ((sqrt(300)*-2)/sqrt(10) - (sqrt(360)/sqrt(6))/sqrt(2))/(5*3*4*sqrt(250)). -sqrt(3)/100 Simplify ((5 + 0 + sqrt(80))**2 - (((sqrt(80) + sqrt(80)*2 - sqrt(80)) + sqrt(80))*3)**2) + ((sqrt(320) + sqrt(320) + -2 + sqrt(320) + 5)*-6)**2. 5224*sqrt(5) + 97629 Simplify (sqrt(209) + 6*(sqrt(209) + -3*sqrt(209)) + (sqrt(209) - (sqrt(209)*2*5 + sqrt(209))))/((sqrt(176) - -6*sqrt(176)*-4) + sqrt(176)). 21*sqrt(19)/88 Simplify (-1*(sqrt(153) + -4*sqrt(153))*-6)/(5*(-2*sqrt(27))/sqrt(3)). 9*sqrt(17)/5 Simplify (sqrt(162) + -2 + -1*sqrt(162) + 5*2*sqrt(162) + -3 - 4*(-4 + (2*sqrt(162) - sqrt(162))*-3))**2. 4356*sqrt(2) + 78529 Simplify -2 + (0 + sqrt(12) + 1 + sqrt(12)*-2 + 2 - (sqrt(1728) + (sqrt(1728) - (sqrt(1728) + (sqrt(1728) - (-1 + 2*sqrt(1728))))**2) - sqrt(1728))) + 3. -26*sqrt(3) + 5 Simplify (1 + -2*5*(1 + (-4*((sqrt(99) - sqrt(99)*-1) + sqrt(99) - sqrt(99)) - 1*(sqrt(99) + 3))))**2. 11340*sqrt(11) + 802341 Simplify (((sqrt(90)*2 + sqrt(90))*-6)/(1*sqrt(225)))/(-1*sqrt(605)*-1 - ((sqrt(605) - -1*sqrt(605))*-6 - sqrt(605))). -9*sqrt(2)/385
{ "pile_set_name": "DM Mathematics" }
Let m = 10 - 9. What is the nearest to c in m, -2/5, -3? -2/5 Let v = 4.009 - 0.009. Let g be ((-3)/(-36))/(2/4). What is the closest to 2/5 in -1/3, v, g? g Let p = 7.66 - -2.24. Let k = p - 10. Which is the closest to k? (a) 6 (b) -0.4 (c) -4 b Let n = -1.98 - 0.02. Let u be 3/(-4) - (442/56)/(-17). Let l = -0.44 - 0.06. What is the closest to u in l, -3, n? l Let j = 2.24 + 0.66. Let n = 3 - j. Let w = -21.32 - -21.72. What is the nearest to -1/4 in w, n, 2? n Let v be 84/(-96)*(-12)/14. Let u = 14 - 14. What is the nearest to u in 2, v, 1? v Let s be 28/184*(-16)/(-84). What is the nearest to 0.1 in s, 0.3, -0.4? s Let y = 879 + -874. What is the nearest to 3/2 in 2/11, y, 0.4, 2/9? 0.4 Let z = -372.8 - -373. Which is the nearest to 2? (a) 0 (b) -1 (c) z c Let c be (-6)/27 - 443/(-252). Let t = c - 9/7. Let p = 35194 + -35194. What is the closest to p in -0.07, t, -4? -0.07 Let w be 3/(-4)*2/(-12). Let k = 13572 - 13571. What is the closest to 5 in k, 2, w? 2 Let m = 189.95 - -11.05. Which is the closest to m? (a) 1/4 (b) 5 (c) 0 b Let f = -0.0303 - -2.0303. What is the closest to 5 in f, 2/17, -6, -2/15? f Let s = 0.76 - -2.64. Let j = 4.4 - s. Let c be ((-4)/35)/(2/(-5)). What is the nearest to j in -5/3, c, 4? c Let m(w) = w**2 + 11*w + 28. Let q = -32 - -27. Let f be m(q). Which is the nearest to -0.4? (a) 1/4 (b) -4/3 (c) f a Suppose 4*w - 4*p = -14 + 2, 5*w + 6 = 2*p. Suppose -5*m + r - 25 = 0, w = -m + 5*r - 4 - 1. Which is the nearest to -3/5? (a) 0 (b) m (c) -2 a Let o = -0.1696 + 0.0796. Which is the closest to 3/11? (a) -2 (b) 5 (c) o c Let h be -3 - 8/(-6 + 2). What is the closest to h in -0.4, -3/4, -31? -3/4 Suppose -5*f + 7 = 3*u - 0*f, 0 = -3*u - 3*f + 3. Let h be 4/(-16)*(0 + 1). Which is the nearest to -1? (a) h (b) u (c) 0.1 b Let y be ((-9)/(-8))/((-3)/4). Let g = 0 + -0.1. Let v = -2/249 + 253/498. What is the closest to 1/4 in y, v, g? v Let o = 12.9 - 1.9. Let v = o - 11.1. Let f = 6 + -6.4. What is the closest to 2 in -0.2, f, v? v Let w = 8 + -11. Let i = -10 + 10.3. What is the nearest to -3 in -2, w, i? w Let z(i) = 3*i**2 + 43*i - 32. Let g be z(-15). Which is the nearest to g? (a) 1/3 (b) -3/4 (c) 4 b Let u = 3538/7 + -506. Let t = 7/5 + -9/10. Let n = 5.4 - 5. Which is the nearest to t? (a) u (b) n (c) 1/2 c Let z = 109.3 + -109.5. Which is the closest to z? (a) 17 (b) 2/13 (c) -1 (d) 5 b Let l = 0.8 + -1. Let t = l + 0.7. Let o be (-4)/(-5) - ((-374)/15)/(-22). Which is the nearest to -2? (a) 5 (b) t (c) o c Let r = 0.1 + 0.2. Let v = 0.1 - r. Let n = -1.347 - -1.547. What is the closest to 0.1 in v, n, 0.1? 0.1 Let k = 73/100 + 1/50. Let j = 5/36 + -1/180. Let p be (-2)/(-8)*(-7 + 8 - 5). What is the closest to k in p, j, -0.4? j Let l = -45331 - -45326. Let m = -33 + 63/2. Which is the closest to -4/5? (a) m (b) l (c) 3 a Let o be 1/2*(4 - (-15)/(-6)). What is the nearest to 2 in o, -2.6, -3/4? o Let l = -3.36 - -0.36. Which is the nearest to -1? (a) -1/5 (b) -4 (c) l a Let k = 39/10 + -303/70. Let q(h) = 4*h - 2. Let m be q(6). Let d be (-3)/9 + m/30. Which is the closest to -2/5? (a) k (b) d (c) -3 a Let q = -1270.9 - -1271. Let i = 2 - 2. What is the nearest to i in 0.2, 6, q? q Let g = 2.1 + -7.1. Let s = g + 4.8. Let p = 2.2 + 0.8. What is the closest to 2/9 in s, -2/11, p? -2/11 Let i = 0 + 0. Let r = 12871.3 + -12871. What is the nearest to i in r, -0.8, -0.2? -0.2 Let k be (6/(-4))/(2 + 105/(-12)). Let o = k + -17/36. Let u be (-4*1/(-2))/(-3). Which is the nearest to u? (a) -1/2 (b) 5 (c) o a Let q = -18 + 13. Let s = -0.36 - 0.04. Let z = -13.307 + 17.307. What is the closest to z in q, s, 1? 1 Let w = 0 + -0.3. Let o = 386 - 385.8. Which is the nearest to w? (a) 5 (b) -3 (c) o c Let k = 110 - 552/5. Which is the closest to 25? (a) 0.4 (b) k (c) 0 a Let x = 20428/9 + -2270. Which is the nearest to 0.4? (a) x (b) -4 (c) -1/6 (d) -3/8 c Suppose -4*i = r - 97, -2*i - 44 = -r + 29. Let d = r - 403/5. Let y = 0 + -0.1. Which is the closest to -1/3? (a) y (b) -4 (c) d a Let a = 0.0094 - 1.0094. What is the nearest to -1/11 in a, -0.1, -0.3? -0.1 Let h = 23.73 + -23.83. What is the closest to h in 0.4, 0.02, -2, 2/11? 0.02 Let g = -1226.9 - -1227. Let y(t) = -t**2 - 4*t + 7. Let h be y(-6). Which is the closest to g? (a) h (b) -0.3 (c) -1/5 c Let u = -0.44 - -0.04. Let o = -92 - -462/5. Let x = -0.0299 + 0.0299. Which is the closest to o? (a) -5 (b) x (c) u b Suppose 314*w = 334*w - 40. Let k = -1.96 + -0.04. What is the nearest to w in -2/11, -0.1, k? -0.1 Let j = -234 - -234.2. Let k = -1 + 0. What is the closest to j in 0.5, k, -0.2? 0.5 Let w = -1048 - -1048.1. What is the nearest to -9 in 7, w, 0.4? w Let a = 1842/5 + -1839/5. Let n be (-56)/26 + (1 - -1). What is the nearest to -1 in n, -0.1, a? n Suppose 76*x + 14*x - 360 = 0. What is the closest to 1 in -0.2, x, 24? -0.2 Let n = -873 + 6101/7. Let t = n + 16/21. Let s = 504 - 501. Which is the nearest to 0.3? (a) s (b) 0.3 (c) t b Let w = 522 + -490.1. Let q = -122 - -154. Let f = q - w. What is the nearest to f in -0.2, -1, 1/4? 1/4 Suppose -6*u + 14*u = 8. Let c be (-12)/252 + 1/3. What is the nearest to u in -3, c, 1? 1 Suppose 4*x - 107 - 217 = 0. Suppose -5*l + x = 606. Let z be 9/l + 2/7. Which is the nearest to 0? (a) z (b) -2 (c) -1 a Let m = -20 - 81. Let s = m - -67. Let y = 36 + s. What is the nearest to y in 0.4, -3, 5/2? 5/2 Let w = 461.9 + -462. What is the nearest to w in 5/8, 5/3, 5? 5/8 Let u(l) = -l**2 - 18*l + 20. Let f be u(1). Let r = 0 + 3. Which is the closest to 2/3? (a) -1/7 (b) f (c) r b Let g = 99/2 - 499/10. Which is the closest to g? (a) 0.3 (b) -1/7 (c) -3 b Suppose 42 - 33 = 9*v. Let u = -36/5 + 7. What is the nearest to v in -5, u, 2/5? 2/5 Let q = 0.504 + 34.496. What is the closest to -0.1 in -4, 4, -0.3, q? -0.3 Let i be -3 + (0/(-1) - -3). Let z be (4 + 70/(-21))/(8/6). Which is the closest to 1? (a) i (b) z (c) -0.5 b Let h be 133/245 - (-10)/(-25). Which is the closest to h? (a) -2/11 (b) 3 (c) 4 (d) -0.5 a Let o be 8/((-2)/(-8) - (-30)/(-80)). Let t = o - -68. Let s = 0 - 4. Which is the closest to 1? (a) s (b) 5 (c) t c Let k = 2.08 - 2.38. What is the closest to -2 in k, 0.4, 0.2? k Let g = 0.991 - -0.009. What is the closest to g in 2/3, 2, 4? 2/3 Let v = -0.4 + -0.1. Let t be (-14)/(-210)*10 + (-20)/(-6). Which is the closest to v? (a) t (b) 0.1 (c) 0 c Let w = 225 - 252. Which is the nearest to 1? (a) 0.5 (b) w (c) 0.3 a Let l = 0.1227 + -0.0227. Which is the nearest to l? (a) 3/8 (b) 0.4 (c) -3 a Suppose -3 = 5*y - 8. Let w = 108 + -105. Which is the nearest to 1? (a) 0.3 (b) y (c) w b Let v = -114.1 - -117.1. Which is the nearest to 1? (a) -0.4 (b) v (c) 1/7 c Let m be (-1 - 3)/(42/4). Let j = m + 3/14. Which is the nearest to -1? (a) j (b) -3 (c) -9 a Let d = 7.69 + -2.66. Let t = d - 0.03. Let c be (-3)/(-4) + 4/16. What is the closest to -1 in t, -3/8, c? -3/8 Let c = 42 + 49. Let p be (-49)/c*(-2)/7. Let m = 0.2 - 0.7. What is the closest to -3/2 in 2/11, m, p? m Let m = 0.456 - 3.056. What is the closest to 1/4 in 2, m, -2/9? -2/9 Let u = 63.23 + -63. Let t = 0.13 - u. Which is the nearest to 1/4? (a) 2/13 (b) t (c) -2 a Let h = 1378 - 1378.1. Which is the nearest to -1? (a) 28 (b) h (c) -0.02 b Let i be (-22 + 1)*4/14. What is the closest to 0 in -0.07, i, 0.1? -0.07 Let m = -7 + 7.09. Let i = 0.31 + m. Let v = 1.1 - -2.9. Which is the closest to -1/4? (a) i (b) -5 (c) v a Let j be ((-1)/10)/(2/(-385)). Let d = 20 - j. Which is the closest to 2? (a) d (b) 0.1 (c) 5 a Let i = 0.183 + -0.173. Let t = 0.18 - 0.07. Let f = i - t. What is the closest to 1 in 0.2, f, -3? 0.2 Let d = 5.9 - 6. Let m = -3/74 + -115/814. What is the closest to -8 in m, d, 3? m Let r = 110.1 - 115.1. What is the closest to -1.6 in r, -2, 1/9, 5? -2 Let d = 2751/4 - 688. What is the nearest to 1 in -0.4, d, -5, 0.11? 0.11 Let g be (-44)/(-112) + 5/(-35). Which is the nearest to 0? (a) -2 (b) 2/17 (c) g b Suppose 2*r + 3*z = -2*z + 67, -2*z = 5*r - 115. Let l be (2/4)/(r/(-10) + 2). Which is the closest to -0.1? (a) 13/3 (b) 3 (c) l b Let f = 0.07 + -0.07. Let o be 4 - (1 + -3 + 1). Which is the cl
{ "pile_set_name": "DM Mathematics" }
ween 9:32 PM and 10:12 PM? 40 How many minutes are there between 12:22 AM and 9:35 AM? 553 How many minutes are there between 6:54 PM and 4:36 AM? 582 How many minutes are there between 7:23 AM and 8:26 AM? 63 How many minutes are there between 2:35 AM and 4:03 AM? 88 What is 289 minutes after 1:36 PM? 6:25 PM What is 680 minutes before 7:03 AM? 7:43 PM How many minutes are there between 11:59 PM and 11:18 AM? 679 How many minutes are there between 9:59 AM and 4:55 PM? 416 How many minutes are there between 5:25 AM and 2:45 PM? 560 What is 558 minutes after 2:30 PM? 11:48 PM What is 708 minutes after 7:30 PM? 7:18 AM What is 485 minutes before 7:34 AM? 11:29 PM What is 472 minutes before 4:21 PM? 8:29 AM What is 76 minutes after 12:57 AM? 2:13 AM What is 97 minutes before 2:45 AM? 1:08 AM What is 607 minutes after 5:30 PM? 3:37 AM What is 445 minutes after 1:37 PM? 9:02 PM What is 82 minutes after 7:04 PM? 8:26 PM How many minutes are there between 8:39 AM and 11:18 AM? 159 What is 662 minutes after 7:32 PM? 6:34 AM How many minutes are there between 3:40 AM and 1:32 PM? 592 What is 48 minutes before 5:39 PM? 4:51 PM How many minutes are there between 8:06 AM and 1:59 PM? 353 How many minutes are there between 11:52 AM and 5:29 PM? 337 How many minutes are there between 3:13 AM and 8:04 AM? 291 How many minutes are there between 4:48 PM and 12:42 AM? 474 How many minutes are there between 11:49 AM and 1:50 PM? 121 How many minutes are there between 8:44 AM and 4:20 PM? 456 How many minutes are there between 6:52 AM and 4:36 PM? 584 What is 103 minutes before 12:23 PM? 10:40 AM How many minutes are there between 3:27 PM and 7:23 PM? 236 How many minutes are there between 4:45 AM and 4:01 PM? 676 How many minutes are there between 4:06 PM and 1:54 AM? 588 How many minutes are there between 10:19 PM and 3:24 AM? 305 What is 360 minutes after 3:15 PM? 9:15 PM How many minutes are there between 11:16 PM and 5:15 AM? 359 How many minutes are there between 4:09 AM and 8:15 AM? 246 What is 36 minutes after 5:50 PM? 6:26 PM How many minutes are there between 12:47 AM and 6:40 AM? 353 What is 33 minutes after 6:57 PM? 7:30 PM How many minutes are there between 3:38 AM and 2:22 PM? 644 How many minutes are there between 12:24 AM and 10:21 AM? 597 What is 315 minutes before 1:41 AM? 8:26 PM How many minutes are there between 6:42 PM and 12:58 AM? 376 How many minutes are there between 3:42 AM and 11:35 AM? 473 How many minutes are there between 10:30 AM and 8:03 PM? 573 How many minutes are there between 10:02 PM and 3:27 AM? 325 What is 636 minutes after 12:59 PM? 11:35 PM What is 321 minutes before 10:39 PM? 5:18 PM How many minutes are there between 2:52 PM and 11:37 PM? 525 What is 547 minutes before 8:30 PM? 11:23 AM How many minutes are there between 5:21 PM and 5:01 AM? 700 How many minutes are there between 1:38 AM and 8:17 AM? 399 How many minutes are there between 9:31 AM and 7:38 PM? 607 What is 605 minutes after 12:33 AM? 10:38 AM What is 714 minutes before 3:12 AM? 3:18 PM What is 705 minutes before 12:12 PM? 12:27 AM What is 472 minutes after 1:32 AM? 9:24 AM How many minutes are there between 5:10 PM and 8:21 PM? 191 What is 675 minutes before 3:32 PM? 4:17 AM What is 53 minutes after 1:35 AM? 2:28 AM How many minutes are there between 5:34 AM and 10:30 AM? 296 What is 556 minutes before 12:02 AM? 2:46 PM How many minutes are there between 2:12 PM and 4:41 PM? 149 How many minutes are there between 11:26 PM and 8:18 AM? 532 How many minutes are there between 2:26 PM and 3:58 PM? 92 How many minutes are there between 10:14 PM and 8:03 AM? 589 How many minutes are there between 3:45 PM and 6:41 PM? 176 How many minutes are there between 8:17 PM and 12:28 AM? 251 How many minutes are there between 11:32 PM and 3:29 AM? 237 What is 279 minutes after 5:47 PM? 10:26 PM What is 204 minutes before 10:47 PM? 7:23 PM How many minutes are there between 4:42 AM and 5:20 AM? 38 How many minutes are there between 4:48 PM and 5:02 PM? 14 What is 582 minutes after 10:09 PM? 7:51 AM What is 54 minutes before 9:45 PM? 8:51 PM What is 623 minutes before 3:07 PM? 4:44 AM What is 599 minutes after 2:50 AM? 12:49 PM What is 586 minutes before 5:52 AM? 8:06 PM How many minutes are there between 12:58 AM and 12:41 PM? 703 What is 662 minutes after 11:59 PM? 11:01 AM What is 710 minutes after 1:37 PM? 1:27 AM What is 298 minutes before 10:32 AM? 5:34 AM How many minutes are there between 8:27 PM and 6:22 AM? 595 How many minutes are there between 9:19 AM and 9:07 PM? 708 What is 627 minutes after 12:38 AM? 11:05 AM How many minutes are there between 4:34 AM and 3:01 PM? 627 How many minutes are there between 1:11 PM and 2:40 PM? 89 What is 625 minutes before 9:07 AM? 10:42 PM How many minutes are there between 2:45 PM and 2:22 AM? 697 How many minutes are there between 12:04 AM and 3:19 AM? 195 What is 283 minutes after 2:33 AM? 7:16 AM What is 38 minutes before 11:41 AM? 11:03 AM How many minutes are there between 3:34 PM and 9:46 PM? 372 What is 467 minutes after 9:58 PM? 5:45 AM What is 38 minutes before 8:41 AM? 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9:00 AM How many minutes are there between 2:37 AM and 1:39 PM? 662 What is 295 minutes before 6:04 PM? 1:09 PM How many minutes are there between 9:57 PM and 4:47 AM? 410 How many minutes are there between 11:10 PM and 10:41 AM? 691 How many minutes are there between 9:22 AM and 5:38 PM? 496 What is 482 minutes after 11:09 AM? 7:11 PM How many minutes are there between 11:53 PM and 3:22 AM? 209 What is 373 minutes before 7:27 AM? 1:14 AM How many minutes are there between 10:55 PM and 5:40 AM? 405 What is 101 minutes after 11:25 AM? 1:06 PM What is 709 minutes after 8:19 AM? 8:08 PM How many minutes are there between 12:42 AM and 6:13 AM? 331 How many minutes are there between 11:32 PM and 7:56 AM? 504 How many minutes are there between 3:35 PM and 4:57 PM? 82 What is 354 minutes after 12:20 AM? 6:14 AM How many minutes are there between 10:17 AM and 7:26 PM? 549 What is 552 minutes before 6:22 AM? 9:10 PM How many minutes are there between 4:38 PM and 5:47 PM? 69 What is 443 minutes after 10:23 PM? 5:46 AM What is 295 minutes before 12:14 PM? 7:19 AM What is 144 min
{ "pile_set_name": "DM Mathematics" }
*sqrt(132)))/sqrt(12). 0 Simplify (sqrt(77) + (sqrt(77) + 1*sqrt(77)*-1 - sqrt(77)))/(3*sqrt(28)/sqrt(4)). 0 Simplify sqrt(8)/sqrt(144) - ((sqrt(2) - 1*sqrt(2))**2 - sqrt(2))*-2. -11*sqrt(2)/6 Simplify 3 + sqrt(180)/sqrt(9). 3 + 2*sqrt(5) Simplify (sqrt(1296)*2)/sqrt(12). 12*sqrt(3) Simplify 5 + ((sqrt(20))**2*4 - sqrt(5)) + -5. -sqrt(5) + 80 Simplify -2*(-4 + -3*sqrt(19)*-1)**2. -374 + 48*sqrt(19) Simplify sqrt(684) - (sqrt(684) - (sqrt(684) + 0 + 1 + sqrt(684))). 1 + 12*sqrt(19) Simplify (1*sqrt(84)*-4)/sqrt(12). -4*sqrt(7) Simplify -2 + (sqrt(33)/sqrt(3)*4 + -3)**2. -24*sqrt(11) + 183 Simplify (3 + -2*sqrt(200))*-4. -12 + 80*sqrt(2) Simplify (sqrt(20)/sqrt(256) + -3)**2. -3*sqrt(5)/4 + 581/64 Simplify (-5 + ((1 + sqrt(252))*-4 - sqrt(252)) + 3)**2. 360*sqrt(7) + 6336 Simplify (sqrt(225) + ((1*sqrt(225) - sqrt(225)) + sqrt(225) - sqrt(225) - sqrt(225)) + sqrt(225))/(2*sqrt(300)) + -4. -4 + sqrt(3)/4 Simplify 3 + 3*(1 + sqrt(13))*6 + 3. 24 + 18*sqrt(13) Simplify (sqrt(2) + sqrt(16)/sqrt(128) + sqrt(2))*1. 9*sqrt(2)/4 Simplify sqrt(28) + sqrt(112)/sqrt(4) + -2. -2 + 4*sqrt(7) Simplify (sqrt(660)/sqrt(12))/sqrt(11) - sqrt(80)*-1. 5*sqrt(5) Simplify -4*(sqrt(539) + -3). -28*sqrt(11) + 12 Simplify 6*(4 + 0 + sqrt(180) + (sqrt(180) + -1)*5). -6 + 216*sqrt(5) Simplify 6*(sqrt(3) + sqrt(132)/sqrt(11)). 18*sqrt(3) Simplify (2*sqrt(950))/(sqrt(8)*4). 5*sqrt(19)/4 Simplify 4*(-1 + sqrt(275) + 1). 20*sqrt(11) Simplify ((sqrt(42)/sqrt(3))/sqrt(7))**2 + (1*sqrt(2))**2*-6. -10 Simplify -1 + sqrt(2448) + ((1 + sqrt(17))*1)**2. 17 + 14*sqrt(17) Simplify (2 + sqrt(539))*1. 2 + 7*sqrt(11) Simplify ((sqrt(1584) - (sqrt(1584) + 0)*4) + 0 + sqrt(1584) + -4)**2. 192*sqrt(11) + 6352 Simplify -1*(5 + sqrt(7) + -1). -4 - sqrt(7) Simplify (3*2*(sqrt(10)/sqrt(2)*3 + sqrt(5) - sqrt(50)/(-1*sqrt(10))))**2. 4500 Simplify (-6*(sqrt(11) + sqrt(88)/(sqrt(8)*-2)) - (sqrt(88) - (sqrt(88) - -2*1*sqrt(88)) - sqrt(88))/sqrt(8))**2. 0 Simplify (-4*(sqrt(65) - 2*sqrt(65)))/((sqrt(5) + (sqrt(5) - sqrt(10)/sqrt(2)))*5). 4*sqrt(13)/5 Simplify (sqrt(72)*-6)**2 - -6*(sqrt(18) + 0). 18*sqrt(2) + 2592 Simplify sqrt(1700)*2*1 + -3. -3 + 20*sqrt(17) Simplify sqrt(25)/(sqrt(720) + (sqrt(720) - 1*sqrt(720)) + sqrt(720)). sqrt(5)/24 Simplify sqrt(18)/(sqrt(225) + sqrt(225) + (sqrt(225) - sqrt(225)*-2) - sqrt(225) - sqrt(9) - sqrt(9)). sqrt(2)/18 Simplify (sqrt(95) + 3*(sqrt(95) - (sqrt(95) - (sqrt(95)*-2 + sqrt(95)))))/(-2*sqrt(245)). sqrt(19)/7 Simplify (sqrt(6)/(sqrt(9)/sqrt(3))*-6)**2. 72 Simplify sqrt(7)*2*-5 - (sqrt(175) + 4). -15*sqrt(7) - 4 Simplify sqrt(108)*1*-2 + (1 + sqrt(108) + -1)**2. -12*sqrt(3) + 108 Simplify (sqrt(110)/(sqrt(60)/sqrt(6)) - (sqrt(99)*2 + sqrt(99))/sqrt(9))**2. 44 Simplify (sqrt(204)*-1*-3)/(sqrt(36)/sqrt(3)*5 + sqrt(12)). sqrt(17)/2 Simplify (((sqrt(121) - sqrt(121)*2) + sqrt(121) - sqrt(121))/sqrt(11) - (1 + sqrt(11)*3))*-5. 5 + 20*sqrt(11) Simplify (sqrt(528) + sqrt(528) + sqrt(528)*-2)/sqrt(11). 0 Simplify ((sqrt(228) - (sqrt(228) + -2*2*sqrt(228)))/(sqrt(588)*-2))**2. 76/49 Simplify sqrt(144)/(1*sqrt(8)) + 0. 3*sqrt(2) Simplify (-4 + -3 + sqrt(175))**2. -70*sqrt(7) + 224 Simplify (3 + (sqrt(252) - (sqrt(252) + sqrt(252)*1))/(sqrt(18)/sqrt(2)*-5))**2. 12*sqrt(7)/5 + 253/25 Simplify (sqrt(27) - sqrt(108))**2*2. 54 Simplify -4*(6*sqrt(121)/sqrt(44) + 2). -12*sqrt(11) - 8 Simplify (sqrt(28)/sqrt(32))/sqrt(2). sqrt(7)/4 Simplify (3*(sqrt(119) - 5*sqrt(119)))/sqrt(7). -12*sqrt(17) Simplify ((2*sqrt(120))/sqrt(4))/sqrt(6) + -5. -5 + 2*sqrt(5) Simplify (sqrt(114)/sqrt(6))**2*5 + (3*sqrt(209))/sqrt(11). 3*sqrt(19) + 95 Simplify sqrt(114)/(sqrt(486)*5 - sqrt(486))*1. sqrt(19)/36 Simplify -1 + (sqrt(891) + 1)**2. 18*sqrt(11) + 891 Simplify sqrt(144)/(sqrt(27) + sqrt(3) + sqrt(3)). 4*sqrt(3)/5 Simplify (sqrt(13) - 1*sqrt(13))*-1*5. 0 Simplify (-5 + 4*2*sqrt(76))**2. -160*sqrt(19) + 4889 Simplify 1 + sqrt(98)*4. 1 + 28*sqrt(2) Simplify (sqrt(1024) + sqrt(1024)*1 + sqrt(1024))/(-3*sqrt(128)). -2*sqrt(2) Simplify (sqrt(17) - sqrt(153)*3)**2 + (sqrt(17) - sqrt(85)/(sqrt(5) - -2*sqrt(5))). 2*sqrt(17)/3 + 1088 Simplify 4 + (-1*sqrt(847) - sqrt(7)). -12*sqrt(7) + 4 Simplify 1*sqrt(2448)*-5*2. -120*sqrt(17) Simplify (1*sqrt(5) + sqrt(5) + -1)**2 + (sqrt(150)/sqrt(3) + sqrt(50))/sqrt(10). -2*sqrt(5) + 21 Simplify ((sqrt(13) + (sqrt(468) - sqrt(13)))*-3)**2 + sqrt(52)/(sqrt(4) - 6*sqrt(4)). -sqrt(13)/5 + 4212 Simplify (-3*sqrt(209) + sqrt(209))/sqrt(11)*5. -10*sqrt(19) Simplify -4*((sqrt(17) + 2)**2 + 0 + 5). -104 - 16*sqrt(17) Simplify (6*(-1 + sqrt(125)*-6)*6)**2. 77760*sqrt(5) + 5833296 Simplify ((sqrt(88) - (sqrt(88) + -4*(sqrt(88)*-1 + sqrt(88) + sqrt(88)) - sqrt(88))) + sqrt(88))/(-6*(2*sqrt(8) + sqrt(8) - sqrt(8))). -sqrt(11)/2 Simplify 5*sqrt(304)*-5. -100*sqrt(19) Simplify sqrt(56)/(sqrt(32)*2). sqrt(7)/4 Simplify ((sqrt(156) + (sqrt(156)*1 + sqrt(156) - sqrt(156)))*4)/sqrt(12). 8*sqrt(13) Simplify (sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77) - 1*sqrt(77))*-5)))/(sqrt(11) + sqrt(539) + sqrt(539) + 2*sqrt(539) + sqrt(539) + sqrt(11)). -sqrt(7)/37 Simplify (sqrt(6) - -4*(1*sqrt(6) - sqrt(6)))/(3*sqrt(3)*1). sqrt(2)/3 Simplify (sqrt(468) - (sqrt(468) + 0) - sqrt(468)) + -1 - (sqrt(468) + 1 + sqrt(468) + -3)**2. -1877 + 42*sqrt(13) Simplify sqrt(171)/(sqrt(324) - (sqrt(324) - (sqrt(324) + sqrt(324)*1))). sqrt(19)/12 Simplify 6*sqrt(77)/sqrt(28). 3*sqrt(11) Simplify (sqrt(320) + sqrt(5) + -2 - sqrt(35)/(sqrt(7)*-4))**2. -37*sqrt(5) + 6909/16 Simplify 5 + (sqrt(1700) - (sqrt(1700) + 2)*-2). 9 + 30*sqrt(17) Simplify (-1*1*sqrt(88) + sqrt(88))/(-3*sqrt(392)). 0 Simplify sqrt(44)/sqrt(4)*4 + (sqrt(44)/(sqrt(4)*-2) - sqrt(11)) + sqrt(11). 7*sqrt(11)/2 Simplify (sqrt(49)/(sqrt(7)*-1*6) + -2)**2. 2*sqrt(7)/3 + 151/36 Simplify (sqrt(22) - sqrt(44)/sqrt(2))/sqrt(11) + (0 + sqrt(288))**2. 288 Simplify (sqrt(1900)*1*3 + 1 + 0)**2. 60*sqrt(19) + 17101 Simplify (-2 + 2*(sqrt(612) + 1)*-6)**2. 2016*sqrt(17) + 88324 Simplify 2*(3*sqrt(450))/sqrt(6). 30*sqrt(3) Simplify -2 + -6*(sqrt(76)/sqrt(4) + -2). -6*sqrt(19) + 10 Simplify (sqrt(243) + 1 + sqrt(243) + sqrt(243) + 1 + sqrt(243))**2. 144*sqrt(3) + 3892 Simplify (0 + 1*sqrt(176))**2 + 1. 177 Simplify sqrt(22)/sqrt(2) + 3 - (sqrt(99)*2 - sqrt(99))/sqrt(9). 3 Simplify 4*sqrt(1088) - sqrt(1088) - (sqrt(17) - (sqrt(17) + -1 + 2)). 1 + 24*sqrt(17) Simplify ((2*1*sqrt(26))/(2*sqrt(32)))**2. 13/16 Simplify -2 + (1*sqrt(304))**2. 302 Simplify (sqrt(1452)*2)/(sqrt(64)*-6). -11*sqrt(3)/12 Simplify -4 + (-4 + sqrt(13))**2 + sqrt(117) + 3. -5*sqrt(13) + 28 Simplify -6*(1 + sqrt(405) + sqrt(405)). -108*sqrt(5) - 6 Simplify (sqrt(272) - (sqrt(272) + 2))*5. -10 Simplify (-2*sqrt(6)*-3)/sqrt(3). 6*sqrt(2) Simplify (-4 + sqrt(684) + (sqrt(684) - (-4 + sqrt(684)))*-2)**2. -144*sqrt(19) + 828 Simplify 4 + (sqrt(6)/sqrt(27))**2. 38/9 Simplify (5 + sqrt(18))**2 - sqrt(8)/sqrt(4)*-2. 43 + 32*sqrt(2) Simplify (sqrt(88) + (sqrt(88) - -5*sqrt(88)*-1) + sqrt(88))/(sqrt(1152) + 1*sqrt(1152) - sqrt(8)). -2*sqrt(11)/23 Simplify 3*((sqrt(294)*2)/sqrt(6))/sqrt(7). 6*sqrt(7) Simplify -1*(sqrt(5) + -2*sqrt(5))**2 - (sqrt(5) + -5 + sqrt(5)*-2). sqrt(5) Simplify (sqrt(5324) + (1*sqrt(5324) - sqrt(5324)))/(sqrt(4) - sqrt(20)/sqrt(5)*3). -11*sqrt(11)/2 Simplify (sqrt(15) + sqrt(1215) + sqrt(1215)*1)/(sqrt(120)/sqrt(6)). 19*sqrt(3)/2 Simplify (2 + sqrt(175) + (sqrt(7) + -3*2*sqrt(7) + sqrt(7) - sqrt(7)))**2. 4 Simplify -2 + 2*(-2 + sqrt(1700)). -6 + 20*sqrt(17) Simplify 3*-5*-5*(sqrt(11) + 0)*-5. -375*sqrt(11) Simplify sqrt(72)/(sqrt(324)*2). sqrt(2)/6 Simplify 4 + -6*(5*(-1 + 1 + sqrt(5)))**2. -746 Simplify 1 + sqrt(5)*-3 + -5. -3*sqrt(5) - 4 Simplify -4*-2*sqrt(7)*2. 16*sqrt(7) Simplify ((sqrt(121)*-1 - sqrt(121))*2)/((sqrt(22)*1)/sqrt(2)). -4*sqrt(11) Simplify (sqrt(114) - (sqrt(114)*-2*-4 - sqrt(114)))/(sqrt(384)*-1). 3*sqrt(19)/4 Simplify -2*sqrt(10)/(-1*sqrt(98)) + 0. 2*sqrt(5)/7 Simplify -4*(sqrt(252) + 5*sqrt(252))**2. -36288 Simplify (sqrt(2673) + sqrt(2673) + 2*sqrt(2673))/(sqrt(11) - (sqrt(99) + sqrt(99)*-2)/sqrt(9)). 18*sqrt(3) Simplify ((sqrt(45) + sqrt(45)*2 + sqrt(45))*6)/((sqrt(90)/sqrt(5))/sqrt(2)). 24*sqrt(5) Simplify (sqrt(170) - (sqrt(170) - sqrt(170)*-1*6) - sqrt(170) - sqrt(170))/(sqrt(360)*2 - sqrt(360)). -4*sqrt(17)/3 Simplify ((sqrt(80) + 0 + 0 -
{ "pile_set_name": "DM Mathematics" }
Let i(r) = -2*r**2 + 17*r - 54. Let j be i(6). Let u be ((-51)/j - -3) + (-10)/80. Suppose 4*w = w + 18. Solve -14 = -u*d + w for d. 4 Let p be ((-708)/(-30))/(4/(-10)). Let x = -56 - p. Solve -1 = -x*g + 8 for g. 3 Let r = -120 - -125. Suppose -4*x + r*a + 5 = 0, 3*x - 27 = -a - 3*a. Suppose 3*l = 2*n + 2*l - 9, 3*n - 6 = -l. Solve -x*k + n*k = 0 for k. 0 Let y(f) = -4*f + 77. Let m(t) = -2*t + 37. Let x(r) = -13*m(r) + 6*y(r). Let v be x(12). Solve -10*s = -v*s - 5 for s. 1 Let b(d) = 4*d**3 + 6*d**2 + 2*d + 7. Let v be b(3). Let k be ((-735)/v)/((-6)/10). Solve 0 = -k*w + 21 - 0 for w. 3 Let a(j) = -3*j**3 - 11*j**2 + 10*j - 3. Let b be a(-5). Suppose 7 - b = -10*c. Solve 2*r + c = -2*r for r. -1 Let c(n) = 95*n - 1602. Let b be c(17). Solve 0*o + b*o + 26 = 0 for o. -2 Let u = -8122 - -8122. Solve -13*q + 10 - 10 = u for q. 0 Let r be 628/26 - (-10)/(-65). Let c = r - 21. Suppose z = -5*a + 20, -c*z = -4*a + 5*a - 18. Solve 2 = -x - a for x. -5 Suppose 2953*b = 2925*b + 364. Solve -23*w + 33 = -b for w. 2 Suppose 15*d = 5*n + 12*d - 157, -3*d = 4*n - 131. Suppose -5*w + 2*l = 5, n*w - 27*w = -l + 10. Solve q = -2 - w for q. -3 Suppose 99*x + 16 = 103*x. Suppose 0*w + 4*w + 16 = 4*d, 3*d - x*w - 12 = 0. Solve 0 = 6*n - d*n for n. 0 Let c be (0*(2 + 28/(-12)))/(-2). Suppose -4*s = 5*x - 27 - 98, 2*s - 3*x - 57 = c. Suppose -4*k + 3 = -3*n, 5*n + 6*k - k = s. Solve -n = q - 2*q for q. 3 Let b(f) = -2*f**3 + 13*f**2 - 22*f + 97. Let d be b(5). Solve -73 = -11*s - d for s. 1 Suppose -517*i + 521*i = -272. Let s be (-3)/(i/48 - 2/(-3)). Let t(n) = n - 5. Let u be t(7). Solve s*v - 3*v = u for v. 2 Suppose -28*x = 42*x - 560. Solve 73 = -x*i + 41 for i. -4 Let g(o) = -26 + o**3 - o**2 + 3*o - o**2 + 12*o - 12*o**2. Let t be g(13). Suppose t*m = -6*m + 72. Solve 4 = -2*d + m for d. 4 Let s = -199 - -147. Let x = s - -67. Suppose 0 = 2*p + 4*u + 12, x = p - 2*p - 5*u. Solve -l + p*l = -3 for l. 3 Let j(k) be the second derivative of k**3/3 - k**2 + 57*k. Let l be j(1). Solve l*n = -n - n for n. 0 Let m = -1900 - -2199. Solve 77 = m*u - 288*u for u. 7 Let r(f) = f**2 + 75*f - 154. Let l be r(-77). Solve -17*w - 6 - 11 = l for w. -1 Suppose 44 = 3*h + 47, -q + 8 = -5*h. Let g = 8 - 6. Suppose 2 = -g*v + 4. Solve 2*c - v = q*c for c. -1 Let y = 73 + -69. Let x be (0/(-1))/(7/(-7)). Let g = 2 - -18. Solve y*i + x = g for i. 5 Let u(k) be the second derivative of k**5/20 + 2*k**4/3 + 11*k**3/6 - 4*k**2 + 7*k + 2. Let s be u(-5). Solve 8*b = s*b for b. 0 Suppose 5*b - 12*b = -2*b - 280. Solve 244*q + b = 237*q for q. -8 Suppose -6 + 16 = -10*o. Let d be 2 + o + 3 + 82. Let m = d + -79. Solve -m = 4*i + 13 for i. -5 Suppose -3*y - y + 839 = 3*g, 4*g = -y + 226. Suppose 0 = -172*c + 174*c - y. Let k = 106 - c. Solve m - 4 = k*m for m. -2 Let d(p) = -37*p - 1104. Let t be d(-32). Solve -3*w + t = 13*w for w. 5 Let w(t) = 339*t + 150. Let r be w(0). Solve -172*f + r = -142*f for f. 5 Let n(x) = x**3 + 16*x**2 + 20*x - 8. Let a(l) = -2*l**3 - 31*l**2 - 39*l + 16. Let r(g) = -6*a(g) - 11*n(g). Let v be r(-8). Solve 5*p + v = -2 for p. -2 Let f(d) = -4*d**2 + 12*d - 14. Let b be f(7). Let z be (-1 + 4/3)/((-2)/b). Let c = 21 - z. Solve c = -p - 4*p for p. 0 Suppose -v - 4*v - 100 = 0. Let j = v + 20. Suppose j = -4*m - 3 + 15. Solve -6*c = -m*c for c. 0 Let o(g) = -g**3 - 20*g**2 + 21*g + 2. Let w(s) = -s**2 - 11*s + 14. Let l be w(-11). Suppose -l + 98 = -4*z. Let n be o(z). Solve -2 = -0*c - n*c for c. 1 Suppose -34*v = -11*v. Suppose -4*q - 5*r = -60, -16*q + 13*q - 4*r + 46 = v. Solve q*j = 9*j for j. 0 Let y be 4/(-10) - ((-1526)/(-10) + 0). Let d = y - -168. Solve 5*i - d = 2*i for i. 5 Suppose 2*j - 86 = -5*b - j, -5*b + 89 = 2*j. Let h be 0 + 8 + 83 + -90. Solve h + b = -4*g for g. -5 Let n(m) = -m**3 + 9*m**2 + 5*m - 39. Let b be n(9). Suppose 0 = 267*q - 269*q + b. Solve -26 = q*u - 14 for u. -4 Suppose -15*u - 14*u + 232 = 0. Let w = 19 - 16. Solve -w*n + 11 = u for n. 1 Let l(w) = -w**3 + 3*w + 3. Let p be l(-2). Let o(z) = -551*z - 6602. Let q be o(-12). Solve -p*i + q = -10*i for i. -2 Suppose -186 = 230*h - 229*h. Let m = -179 - h. Solve 5*k + 8 = -m for k. -3 Let q be -1 + (-1270)/(-6) - (-4)/(-6). Let a be 0/(q/49 - 4/14). Solve a*i - i = 1 for i. -1 Suppose 5595*q + 4536 = 5604*q. Solve -43*d = 13*d + q for d. -9 Let n = 76 + -68. Suppose 0 = n*x - 7*x. Suppose -18*o + 6*o + 7*o = x. Solve m + 0*m = o for m. 0 Let m = -730 + 735. Let v = 81 + -30. Suppose m*h - 2*h + p = 39, -5*h + 3*p + v = 0. Solve -5*w + 2 = h for w. -2 Let a(y) = -35*y - 676. Let p be a(-20). Solve -31*r = -25*r + p for r. -4 Let g(s) = -s**3 + s**2 - 1. Let v(t) = t**3 - 11*t**2 + 17*t + 10. Let p(a) = -2*g(a) - v(a). Let j be p(-10). Solve -8*l + 22 = j for l. -5 Suppose 0 = 5*a + 18 - 33. Suppose -a*h + 12 = h. Suppose 0 = -c + 2 + h. Solve -16 + 1 = c*p for p. -3 Let o be (-1026)/(-38) + 14 + (-6 - -2). Solve o*x + 0*x = 111 for x. 3 Let m(i) = i**3 - 4*i**2 - 3*i - 6. Let n be m(5). Suppose 62*j - 67*j = -35. Suppose 0 = 3*f - t - 3*t - j, -n*f - 5*t + 30 = 0. Solve -f*o = -4*o for o. 0 Let m = 166 + -162. Suppose 3*t + 2*b - 6 = 0, 6 = -4*t + 3*b - b. Solve -4*n - m + t = 0 for n. -1 Let f(c) be the second derivative of c**3/6 + 27*c**2/2 + 32*c. Let u be f(-25). Suppose 5*w = 4*b + 4, 4*w - b = -1 + u. Solve 4*j + 0*j + 20 = w for j. -5 Suppose -114 + 122 = 4*h. Suppose -3*w - 2*g = -7*w + 14, 5*w + h*g - 31 = 0. Solve -w*t - 22 = -2 for t. -4 Let g be -6 - ((-64)/(-6))/((-36)/54). Suppose 5*j + g*p - 16 = 11*p, p = -5*j + 14. Suppose -8 = -0*u - 4*u. Solve -k + u = -j*k for k. -1 Suppose -191 = -10*i + 609. Solve i = -18*w - 10 for w. -5 Suppose -27*c + 38*c - 968 = 0. Suppose 85 = -h + c. Let i = -3 - -5. Solve -h*f + i = -4 for f. 2 Suppose -11*o - 7*o + 18 = 0. Let z be 22/o - 9/3. Solve -5*s - 6 - z = 0 for s. -5 Let h(t) = t**2 - 147*t - 1015. Let b be h(-7). Solve b - 60 = 3*y for y. 1 Suppose 5*c - 5*p + 12 = 7*c, 3*p - 30 = -5*c. Suppose 2*z + 5*g - 25 = 20, -3*z = 4*g - 57. Solve -f = -c*f - z for f. -3 Let i = 59 - 56. Suppose -2*k - i = -3*h, 4*k + h = -3 + 18. Solve 0 = k*d - 2*d for d. 0 Suppose -5160 = 4857*h - 5029*h. Solve 25*u = 55*u - h for u. 1 Let q = 4544 + -4541. Let o(f) = -f**3 - 4*f**2 + 3*f. Let u be o(-4). Let d be 9/(27/u + 3). Solve q*z = -z - d for z. -3 Let h = 5571 + -5568. Solve h*c + 957 = 966 for c. 3 Let d = -41 + 39. Let f = 8 - d. Let t = f + -10. Solve t = 2*i + 2 + 2 for i. -2 Suppose c = -c - 3*r + 15, -5*r = -2*c + 39. Suppose -c - 14 = -4*z - 3*k, 0 = 2*z + 4*k - 18. Suppose 31 - 131 = -92*a + 84. Solve -z = a*j - 1 for j. -2 Let y = 181 - 143. Let q(f) = f**3 + 8*f**2 + 10*f - 24. Let v be q(-4). Solve v = 4*m + 46 - y for m. -2 Let q(h) = h**3 + 8*h**2 + 5*h - 12. Let o = -6 + 7. Suppose -3*p = 22 - o. Let c be q(p). Solve 0 = c*y - y for y. 0 Let r(k) = k**3 + 2*k**2 - 12*k - 11. Suppose -4*a + 5*u - 16 = 0, -2*u + 3*u = a + 4. Let d be r(a). Solve -10*q = -5*q + d for q. -1 Suppose 26 = 3*n + 5*f, 3*n - 28 = 4*f - 8*f. Let l be n/(-14)*-7 + 4. Solve 12*q = l*q - 4 for q. -2 Suppose -5*r - 6*d = -4*d - 137, 5*d + 103 = 4*r. Let i = -29625 + 29625. Solve i = -5*c - 2 + r for c. 5 Let j = 13324 - 13300. Solve 13*x - 11 = -j for x. -1 Let k be 174/1305 - (-433)/15. Solve 6*t = k*t + 92 for t. -4 Suppose -2 = 2*i - 10. Let z(g) = 2*g**3 + 58*g**2 - 66*g - 178. Let b be z(-30). Solve i*d = b + 2 for d. 1 Let h(c) = -c - 2. Let k be h(-7). Let o(m) = -12*m + 27. Let i be o(6). Let b = i + 58. Solve k*y = b - 38 for y. -5 Let j be 63/(-12) + (-27)/36. Let f be 0/((j + 2)/(-4)). Solve f*v = -3*v + 6 for v. 2 Let u = 10 - 5. Suppose -3*g = g - 12. Suppose -5*i + a = -9, -3*a - 113 + 108 = -4*i. Solve g = -i*d + u for d. 1 Suppose -3*z - 32 = -p - 4*p, -4 = z - 5*p. Let i be z - (-1828)/20 - 6/(-10). Solve -i*b + 8 = -74*b for b. 2 Let u = -127 - -144. Let h(m) = m**3 - 18*m**2 + 19*m - 29. Let c be h(u). Solve -c*g + 7 = 2 for g. 1 Let i be 7 + -3 - (-2 - (0 - 1)). Suppose -x + 6 = 3*l, -i*l - 4*x = -2*l - 6. Solve 0 = s - 6 + l for s. 4 Suppose 3*w + 3 = 2*z + 2*w, 4*z + 4*w = 0. Suppose 3*g + 0*g - 394 = -x, 5*x = -3*g + 410. Suppose -g = -52*t + 47*t. Solve -z + t = -5*o for o. -5 Suppose 4*g + 38 = 4*f + 6, -16 = -3*f +
{ "pile_set_name": "DM Mathematics" }
2*h - 8. What is o(5)? 2 Let f(w) = w**3 + 5*w**2 + 4*w - 5. Give f(-4). -5 Let j(y) = -y**3 - 9*y**2 + 3*y - 8. Determine j(-9). -35 Let k(q) = -q + 18. Determine k(4). 14 Let y(t) = -t**3 + 8*t**2 - 6*t - 6. Give y(7). 1 Let k(q) = -q**2 - 7*q + 20. What is k(-10)? -10 Let d(r) = -r. Determine d(12). -12 Let v(q) = q**3 - 31*q**2 - 66*q + 18. What is v(33)? 18 Let d(t) = 10*t - 2. Give d(-1). -12 Let p(o) = -o**3 - 5*o**2 + 5. Give p(-6). 41 Let t(p) = p**2 - 24*p - 21. What is t(23)? -44 Let a(j) = -10*j - 96. Give a(-9). -6 Let z(l) = -3*l**3 - 3*l**2 - 2*l + 8. What is z(-3)? 68 Let p(o) = -21*o - 15. Determine p(-1). 6 Let z(n) = -46*n + 1. Give z(1). -45 Let a(c) = -c + 57. Give a(-8). 65 Let p(h) = 28*h. Calculate p(1). 28 Let z(y) = -y**2 + 17*y + 3. Determine z(10). 73 Let k(l) = -l**2 + 5*l + 2. Determine k(7). -12 Let n(z) = -z**3 + 8*z**2 - 14*z + 23. Give n(6). 11 Let g(q) = -5*q - 25. Determine g(-6). 5 Let u(r) = 2*r**2 + 18*r + 15. Determine u(-8). -1 Let k(r) = r**3 - 7*r**2 + 11*r + 10. Give k(5). 15 Let c(p) = p**3 - 8*p**2 + 23. What is c(8)? 23 Let o(w) = w**2 - 42*w + 6. Give o(41). -35 Let m(u) = 5*u + 38. Give m(-8). -2 Let v(b) = -3*b**2 + 2*b + 2. Give v(2). -6 Let c(z) = 4*z**2 + 2*z - 6. What is c(3)? 36 Let t(r) = r**3 + 6*r**2 + 4*r + 5. Determine t(-5). 10 Let w(m) = -2*m + 30. Give w(-14). 58 Let c(r) = 2*r**2 + 48*r + 49. Give c(-23). 3 Let i(g) = -g**3 + g**2 - g + 21. Calculate i(0). 21 Let p(m) = m**2 - 14*m - 4. Calculate p(12). -28 Let o(t) = 2*t - 10. Give o(-16). -42 Let o(i) = i**2 + i - 49. Determine o(-7). -7 Let a(k) = -30*k - 190. Determine a(-6). -10 Let a(h) = h**2 - 1. What is a(-1)? 0 Let g(n) = n**3 - 24*n**2 - 27*n + 57. Calculate g(25). 7 Let p(h) = h**2 - 1. Give p(-2). 3 Let y(x) = 12*x**3 + 8*x - 7. Calculate y(1). 13 Let l(t) = -t**2 - 6*t - 1. Determine l(-5). 4 Let i(z) = -5*z + 40. What is i(10)? -10 Let p(h) = h**3 - 14*h**2 + 13*h + 5. What is p(13)? 5 Let q(l) = l. Give q(-1). -1 Let o(u) = 2*u**2 - 3*u - 4. Determine o(-3). 23 Let s(l) = -2*l**2 - 12*l - 19. Determine s(-2). -3 Let g(d) = 130*d + 119. What is g(-1)? -11 Let n(c) = -c**3 + c**2 + 5. Calculate n(0). 5 Let x(j) = j**3 + j**2 - j - 5. Determine x(-4). -49 Let t(g) = 18*g - 89. Determine t(9). 73 Let v(i) = i**3 - 44*i**2 + 2*i - 85. Calculate v(44). 3 Let u(n) = 6*n - 77. Determine u(13). 1 Let v(r) = -r**2 - 5*r. What is v(-5)? 0 Let l(j) = -j**3 - 10*j**2 + 263*j - 14. Give l(-22). 8 Let a(i) = i - 28. What is a(3)? -25 Let a(c) = 5*c**2 + 48*c + 47. Calculate a(-1). 4 Let v(g) = -103*g**3 + 2*g**2 + 3*g - 4. Give v(1). -102 Let g(x) = -x**3 - 4*x**2 + 5*x + 12. Give g(-4). -8 Let j(d) = -d**2 + d + 1. Determine j(-1). -1 Let i(w) = -4*w + 74. Calculate i(-15). 134 Let t(m) = -m - 29. What is t(18)? -47 Let a(w) = w**2 - 2*w - 7. Determine a(-3). 8 Let o(v) = -v**2 - 5*v - 7. What is o(5)? -57 Let c(h) = h**3 - 15*h**2 + 18*h - 51. What is c(14)? 5 Let b(i) = -i - 46. Give b(-8). -38 Let a(h) = -h + 10. Determine a(-6). 16 Let r(c) = -c**2 + 8*c + 1. What is r(7)? 8 Let s(j) = -j**3 + 7*j**2 + 3*j - 5. Give s(6). 49 Let w(g) = g**3 - 2*g**2 - g + 1. What is w(-1)? -1 Let a(c) = -2*c**2 - 3*c. Calculate a(-4). -20 Let p(t) = -2*t**3 - 11*t**2 - 6*t + 6. Give p(-5). 11 Let m(f) = 4*f + 4. Give m(-6). -20 Let x(u) = -u**2 - 7*u + 21. What is x(-9)? 3 Let k(a) = a**3 - 22*a**2 - 21*a - 48. Determine k(23). -2 Let j(l) = 2*l**3 + l**2 - 2. Determine j(2). 18 Let b(t) = t**2 + 4*t + 25. What is b(-12)? 121 Let n(r) = -4*r - 26. What is n(-9)? 10 Let f(p) = 57*p**2 + 2*p. What is f(1)? 59 Let y(h) = -h**2 + 25*h - 6. What is y(25)? -6 Let x(g) = g**3 - 7*g**2 + 7*g. What is x(6)? 6 Let v(w) = -22*w**2 - 5*w - 1. Calculate v(-1). -18 Let b(k) = -9*k - 1. Determine b(-9). 80 Let i(j) = -j**2 - 7*j - 23. Give i(-10). -53 Let d(o) = -o**3 - 17*o**2 - 73*o - 6. Calculate d(-7). 15 Let p(o) = o**2 + 3*o - 2. What is p(-5)? 8 Let g(s) = -162*s - 13. Determine g(-1). 149 Let l(k) = 5*k**3 - 3*k**2 + 2*k + 5. Give l(2). 37 Let k(o) = -o - 1. Determine k(7). -8 Let v(s) = -2*s - 10. What is v(-6)? 2 Let u(z) = -z**3 + 9*z**2 + 9*z - 13. Give u(10). -23 Let c(s) = -s**2 - 6*s - 5. What is c(-5)? 0 Let m(f) = -5*f - 34. Determine m(-6). -4 Let x(m) = -7*m + 5. Give x(4). -23 Let l(w) = 3*w - 1. Determine l(2). 5 Let n(a) = 22*a**2 - 2*a + 3. Calculate n(1). 23 Let s(u) = -3*u - 52. Calculate s(-8). -28 Let z(t) = -t**3 - 17*t**2 - 41*t + 9. What is z(-14)? -5 Let t(h) = h**3 + 7*h**2 + 10*h + 7. What is t(-6)? -17 Let f(v) = 5*v**2 + 2*v + 9. Calculate f(-4). 81 Let m(h) = 47*h + 598. Determine m(-13). -13 Let i(m) = m**2 + 20*m + 73. Give i(-5). -2 Let c(g) = -5*g + 19. Determine c(5). -6 Let w(o) = o - 26. What is w(11)? -15 Let p(u) = 4*u - 229. Determine p(55). -9 Let l(f) = -f**2 + 3*f - 8. Determine l(9). -62 Let f(w) = w**3 + 3*w**2 - 19*w - 74. What is f(-6)? -68 Let b(y) = -y**3 + 7*y**2 - 6*y - 4. Calculate b(6). -4 Let g(i) = -i**3 + 4*i**2 + 9*i - 12. Determine g(6). -30 Let w(o) = -8*o + 99. Determine w(9). 27 Let i(j) = -j**2 - 24*j - 23. What is i(-23)? 0 Let z(p) = p**3 - 3*p**2 - p. What is z(4)? 12 Let j(n) = n**3 + n**2 + n + 20. Determine j(0). 20 Let l(x) = 42*x - 51. Give l(1). -9 Let g(o) = o**2 - 19*o + 25. Give g(16). -23 Let f(n) = -n + 13. Give f(12). 1 Let d(t) = t**3 + 10*t**2 - 12*t - 14. Calculate d(-11). -3 Let b(s) = -20*s - 12. Give b(4). -92 Let s(f) = f**3 - 18*f**2 + 35*f - 305. Calculate s(17). 1 Let b(p) = -57*p + 159. What is b(3)? -12 Let c(t) = t**3 - 12*t**2 + 10*t - 1. Determine c(11). -12 Let q(d) = 6*d**2 - 4*d - 3. Determine q(-1). 7 Let h(c) = c**2 - 12*c + 6. Calculate h(11). -5 Let y(j) = 4*j - 18. Calculate y(-3). -30 Let x(r) = r**2 - 4*r - 14. Give x(6). -2 Let p(j) = -j**3 + 3*j**2 + 11*j - 17. What is p(4)? 11 Let b(u) = 9*u + 41. Determine b(-8). -31 Let x(d) = d - 26. Calculate x(0). -26 Let g(t) = t. What is g(-7)? -7 Let o(q) = -3*q - 18. Calculate o(0). -18 Let t(j) = j**3 + 52*j**2 + 99*j - 42. What is t(-50)? 8 Let s(r) = 35*r**3 - 2*r**2 + 3*r - 1. Determine s(1). 35 Let o(g) = g**3 - 9*g**2 - 2*g + 119. Calculate o(7). 7 Let p(w) = w**2 + 5*w - 6. Determine p(-6). 0 Let x(d) = -15*d**3 - 5*d - 4. Give x(-1). 16 Let a(d) = d**2 + 8*d - 2. What is a(-9)? 7 Let m(c) = 4*c - 4. What is m(6)? 20 Let o(z) = -z**2 - 15*z + 10. Determine o(-15). 10 Let s(w) = w + 2. Give s(5). 7 Let z(y) = 5*y + 46. Determine z(-9). 1 Let d(x) = -x**3 - 8*x**2 + 8*x - 12. Give d(-9). -3 Let c(w) = -w + 12. Give c(5). 7 Let p(g) = -g**3 + 5*g + 3. Calculate p(-1). -1 Let l(m) = m**2 - 5*m + 8. Calculate l(6). 14 Let q(c) = c**2 - 13*c + 5. Calculate q(11). -17 Let s(u) = u**3 - 7*u**2 - 7*u + 1. Calculate s(8). 9 Let n(r) = -r**3 + 2*r**2 + 2*r - 5. What is n(0)? -5 Let j(b) = -b + 8. What is j(6)? 2 Let x(u) = 35*u + 245. Determine x(-7). 0 Let k(j) = -5*j + 39. Calculate k(9). -6 Let t(a) = 12*a - 3. Determine t(4). 45 Let x(j) = -20*j + 438. What is x(22)? -2 Let h(m) = -m**2 - 10*m + 10. What is h(1)? -1 Let d(t) = t + 28. What is d(9)? 37 Let h(f) = -68*f**3 - f**2 - f - 1. What is h(-1)? 67 Let x(i) = 3*i + 5. What is x(-1)? 2 Let r(j) = 3*j - 19. What is r(6)? -1 Let i(s) = 2*s - 21. Determine i(3). -15 Let q(j) = -56*j - 179. Give q(-3). -11 Let j(t) = -3*t + 12. Give j(-10). 42 Let h(a) = 4*a**3 + a**2 - 2. Calculate h(-3). -101 Let i(b) = 2*b**3 - 44*b**2 + 9. Give i(22). 9 Let w(x) = x**3 - 8*x**2 + 8*x - 8. What is w(7)? -1 Let x(k) = k**2 - 6*k - 5. Calculate x(8). 11 Let w(p) = p**2 - 14*p + 6. Determine w(17). 57 Let l(q) = 69*q - 4. Determine l(-2). -142 Let x(d) = -6*d**2 - 1. Give x(3). -55 Let t(j) = -j**3 + 29*j**2 + 62*j + 5. Give t(31). 5 Let a(c) = -c**2 - 5*c + 24. Give a(-8). 0 Let d(p) = -5*p - 12. Give d(-4). 8 Let h(u) = -3*u**2 + 25*u - 13. What is h(10)? -63 Let s(d) = 2*d - 11. Determine s(3). -5 Let t(r) = -3*r**2 + 8*r - 12. Determine t(2). -8 Let z(m) = 2*m**2 - 8*m + 13. Determine z(6). 37 Let x(i) = 19*i - 425. Determine x(22). -7 Let b(c) = -c**3 - 5*c**2 + 2*c + 3. Determine b(-4). -21 Let v(f) = f**2 - 10*f + 5. Calculate v(7). -16 Let a(w) = w**2 + 25*w + 19. Calculate a(-24). -5 Let t(f) = 47*f - 78. What is t(2)? 16 Let b(n) = -2*n**2 - 8*n + 4. Calc
{ "pile_set_name": "DM Mathematics" }
- 198. What is the remainder when y is divided by o? 31 Suppose 0 = 19*r - 14*r + 2260. What is the remainder when r/2*((-10)/4 + 2) is divided by 29? 26 Let k(w) = w**2 + 4*w - 13. Suppose 67 = 4*c - 2*y + 19, 0 = 3*c + 4*y - 36. What is the remainder when k(-9) is divided by c? 8 Suppose -4499 = -22*y + 11*y. What is the remainder when y is divided by 41? 40 Let g = 424 + -5. Suppose 5*k - k = 5*r - 525, 3*k = 4*r - g. Suppose 3*h - 4*s - r = 0, -2*h = h + s - 121. What is the remainder when h is divided by 14? 11 Suppose -5*d - 135 = -5*c, -4*c + 3*d = -0*d - 113. Calculate the remainder when c is divided by 11. 10 Let s(x) = 3*x - 78. What is the remainder when 82 is divided by s(32)? 10 Let c(q) = 3*q**2 + 18*q + 39. Calculate the remainder when 43 is divided by c(-4). 13 Suppose 4*n = -2*w + 440, 60 = -2*w + 52. Calculate the remainder when n is divided by 41. 30 Calculate the remainder when 96 is divided by 6/(0 + 2) - 8*-1. 8 Suppose -k + 8*l + 942 = 5*l, 5*l = -2*k + 1829. What is the remainder when k is divided by 93? 90 Let n(h) be the third derivative of h**6/60 - h**5/20 + h**4/8 + h**3/6 + 2*h**2. What is the remainder when 39 is divided by n(2)? 6 Suppose -30 = -c + r - 8, c = -3*r + 22. Calculate the remainder when 151 is divided by c. 19 Let v(y) = -y**3 + 11*y**2 + 20*y - 34. Calculate the remainder when 92 is divided by v(12). 30 Let k(l) = -3*l**2 + 11*l. Let a(w) = w**2 - 4*w. Let v(z) = -8*a(z) - 3*k(z). Let n be (-8)/(-2)*(-5)/4. Calculate the remainder when v(n) is divided by 16. 14 Let o(z) = z**2 - 14*z - 7. Let w be o(14). Let q(i) = 2*i**2 + 11*i + 10. Let n be q(w). Let v = n - 16. Calculate the remainder when 44 is divided by v. 14 What is the remainder when (9435/(-34))/5*(-8)/6 is divided by 20? 14 Suppose 4*y - 3*y = 3*i - 38, -4*y - 54 = -5*i. Let l be (-138)/(-12)*(1 - -1). Let u = 61 - l. Calculate the remainder when u is divided by i. 10 Suppose 2*h - 10 = -4*o, 0*o - 25 = -4*o + 3*h. Suppose 5*n = -3*w - w + 50, -18 = -w - o*n. Calculate the remainder when 29 - -9 - (-1)/(-1) is divided by w. 7 Let q = 145 + -129. Calculate the remainder when q is divided by 1. 0 Let d = -14 - -24. Suppose -1292 = p - 39*p. What is the remainder when p is divided by d? 4 Let c = 19 - 20. Suppose 0 = 3*a + 3, -4*r - a + 227 = 4*a. Calculate the remainder when r is divided by c/(5/(-70)) + 1. 13 Suppose 30 = -c + 3*q + q, 4*c + 120 = -4*q. Calculate the remainder when -8 + 10 - (c - 0) is divided by 5. 2 Let g = -17 - -3. Let p be (4/6)/(g/21). Calculate the remainder when 5 is divided by 6/(-4)*2/p. 2 Let b(n) = 11*n**2 - 2*n + 6. Let p(l) = 4*l - 16. Calculate the remainder when b(3) is divided by p(9). 19 Suppose 27*v - 145 = 22*v + 5*r, 0 = -5*v + r + 125. What is the remainder when v is divided by 11? 2 Suppose 0 = -5*s - 14 + 139. Let h = s + -95. Let d = h - -165. Calculate the remainder when d is divided by 33. 29 Suppose 6783 - 238 = 55*f. What is the remainder when 343 is divided by f? 105 Let a(y) = 17*y**2 - y + 1. Suppose 10*w - 9*w = -1. Suppose 69 = o - 3*h, 2*h + 255 = 5*o - 116. What is the remainder when o is divided by a(w)? 18 Suppose 4*q = 3*q + 14. Let x = -5636 - -5642. What is the remainder when q is divided by x? 2 Let f = -28 - -32. Let r be 12/(-36) - f/(-3). Let y(a) = 23*a**3 + a**2 - a + 1. Calculate the remainder when 95 is divided by y(r). 23 Suppose 0 = 3*l - m - 44, 8*l - 4*l - 68 = -m. Calculate the remainder when 157 is divided by l. 13 Let j = 2069 - 2064. What is the remainder when 194 is divided by j? 4 Suppose 196*j - 40 = 195*j. Calculate the remainder when j is divided by 20. 0 Let b be 1*0/(-1 + 5). Suppose 4*f - 5*j = -3, 0 = -f - b*f + 5*j + 18. Calculate the remainder when (f + 3)*-1 - -27 is divided by 17. 14 Let l(j) = -3*j + 2. Let k(a) = -a**3 + 8*a**2 - 4*a + 9. Let v be k(6). Let i = -15 + v. Calculate the remainder when i is divided by l(-3). 9 Let h(t) = -13*t + 61. Calculate the remainder when h(-27) is divided by 46. 44 Let n = 73 - 52. Let f = 42 - n. What is the remainder when f is divided by 5? 1 Suppose 16 = 5*t - 34. Suppose 4*j - 5*j + t = 0. Calculate the remainder when 39 is divided by j. 9 What is the remainder when (39808/(-320))/((-2)/10) is divided by 89? 88 Suppose -n - s = -13 - 30, 140 = 4*n - 4*s. Let q = n + -24. Suppose 0 = -2*r + r + 6. Calculate the remainder when q is divided by r. 3 Let n = -13 - -26. Let s(x) = -x**2 + 12*x + 13. Let p be s(18). Let f = -58 - p. What is the remainder when f is divided by n? 11 Let p(h) = 28*h**2 - 7*h - 8. Let a(s) = s. Let f(o) = 3*a(o) + p(o). Calculate the remainder when f(-2) is divided by 19. 17 Let b = -289 - -406. What is the remainder when b is divided by 63? 54 Suppose -4*h - 28 = -2*f, 2*f - 12 = 5*h + 15. What is the remainder when 26 is divided by f? 10 Let c be (1 - 7)*29/(-6). Suppose -2*f + c = -41. What is the remainder when 137 is divided by f? 32 Let o = -21 - -36. Suppose -138 = -3*s + 4*r, -r + 120 = 3*s + r. What is the remainder when s is divided by o? 12 Let a = 1809 - 1221. Calculate the remainder when a is divided by 19. 18 Let g = -564 - -667. What is the remainder when g is divided by 30? 13 Calculate the remainder when 79 is divided by (2/7)/(98/2744). 7 Let l = 5284 + -5267. Suppose -3*t - 168 = -3*u, 0*u - 5*u = -4*t - 283. Calculate the remainder when u is divided by l. 8 Let s(t) = 3*t + 9. Suppose -2*d = -5*p + 9, 3*p + 0*p = -4*d + 21. What is the remainder when 69 is divided by s(d)? 15 Suppose 3*f = -v - 5 - 0, -5*v = -4*f + 44. Let g = v - -37. Suppose 9*l - 165 = -30. Calculate the remainder when g is divided by l. 14 Suppose 280 = 4*m + q, -3*m - 34 = -4*q - 225. What is the remainder when m is divided by 14? 13 Let f(w) = 2*w + 7. Let l(q) = q**3 - 2*q**2 + 9*q. Calculate the remainder when l(3) is divided by f(6). 17 Calculate the remainder when 42 is divided by 92/(-6)*9/(-6). 19 Suppose -5*q = 3*l - 354, 17 - 140 = -2*q + 5*l. What is the remainder when q is divided by 26? 17 Suppose r - 18 = 2. Suppose 8*j - r = 3*j. Suppose 0 = -t - 3, 4*p = t - 3*t + 22. What is the remainder when p is divided by j? 3 Suppose m = 9*t - 8*t + 32, 113 = 4*m + t. What is the remainder when 128 is divided by m? 12 Let z(m) = -m**2 + 2*m - 3. Let o be z(0). Calculate the remainder when (o + -6)/3 + 7 is divided by 1. 0 Suppose 110 = 9*m + m. Let z = 15 + 27. Suppose -z = 4*g - 6*g. What is the remainder when g is divided by m? 10 Let g = 17 + 25. Suppose g = 7*w - 10*w. Let h = w - -24. Calculate the remainder when h is divided by 7. 3 Suppose 0 = -23*f + 148 - 10. Calculate the remainder when 111 is divided by f. 3 Suppose -3*j - 9 = -0. Calculate the remainder when -3 - (2 + j) - (0 + -41) is divided by 20. 19 Let k(f) = -2*f**3 - 34*f**2 - 32*f + 7. Let z be k(-16). Let y = 4 + z. What is the remainder when 78/4 - 2/4 is divided by y? 8 Suppose -95 = -a - 2*u, 3*a - 384 = -a - 4*u. Let y = 108 - a. Calculate the remainder when 140 is divided by y. 8 What is the remainder when 131590/80 + 4/32 is divided by 16? 13 Let d(p) = -56*p + 260. What is the remainder when d(0) is divided by 33? 29 Let a(m) = -m**3 + m**2 - 43. What is the remainder when a(-6) is divided by 22? 11 Suppose 8*p = 3*p. Let z be 3/(6 + p)*10. Suppose -7 = 4*h - z*h. Calculate the remainder when 19 is divided by h. 5 Suppose h - 41 = -k, -k + 221 = 5*h - 0*k. Let p be (-135)/(-8) + 7/56 + 4. Suppose p + h = 3*c. What is the remainder when c is divided by 12? 10 Suppose -3*c = -4*c, 0 = -2*m + c + 54. What is the remainder when 161 is divided by m? 26 Suppose -o - 3*c = -109, -206 = 13*o - 15*o - 3*c. What is the remainder when o is divided by 26? 19 Let w(f) = -6*f**3 + 2*f**2 - 3*f - 3. Suppose 17*o - 144 = 5*o. Calculate the remainder when w(-2) is divided by o. 11 Suppose -189*y + 1943 = -160*y. Let g(u) = -5*u - 3. Calculate the remainder when y is divided by g(-4). 16 Let r(v) = -v - 3. Let n be r(0). Suppose 2*d - 5*q = -d + 28, -4*d = 3*q - 47. Calculate the remainder when d is divided by 5/((-15)/(-18)) + n. 2 Let j(f) = -f**3 + 15*f**2 + 19. Calculate the remainder when 3356/36 - 6/27 is divided by j(15). 17 Let l(i) = 56*i**3 - i**2 + 32*i - 32. Calculate the remainder when 149 is divided by l(1). 39 Le
{ "pile_set_name": "DM Mathematics" }
ue Is 34653239 composite? True Is 719013 composite? True Is 53066453 prime? False Is 80216359 composite? False Is 10963669 composite? False Is 67555133 a prime number? True Is 339024059 a prime number? False Is 637751 a prime number? True Is 8191189 a prime number? True Is 2802379 prime? False Is 11862278 prime? False Is 11583263 composite? False Is 33201359 composite? True Is 5506553 composite? True Is 26403731 a composite number? True Is 2914343 prime? False Is 244716722 a composite number? True Is 85001443 a composite number? False Is 86435383 a prime number? True Is 4813027 prime? True Is 15173395 a composite number? True Is 46773803 prime? True Is 899729 prime? False Is 160093979 a prime number? True Is 23148523 a prime number? True Is 207239951 prime? True Is 10985393 prime? False Is 20051413 a composite number? True Is 8546567 a prime number? False Is 404941 composite? False Is 10641431 composite? True Is 8598055 composite? True Is 967073 a composite number? True Is 1440119 a composite number? False Is 18157409 a prime number? False Is 16258465 a prime number? False Is 2295053 a prime number? True Is 6473629 a prime number? True Is 85269491 composite? False Is 534746 a composite number? True Is 799517393 prime? False Is 6903227 a composite number? False Is 119668121 a composite number? False Is 63207251 a prime number? True Is 197599433 a composite number? False Is 27500401 a composite number? False Is 18244333 composite? False Is 74474383 a prime number? True Is 6586453 prime? True Is 109518215 a prime number? False Is 94213831 a composite number? False Is 3070489 prime? False Is 47574283 a prime number? False Is 53572099 a composite number? True Is 3611477 a prime number? True Is 5909567 prime? True Is 3576593 prime? True Is 27819331 composite? False Is 47905727 prime? True Is 167361 prime? False Is 11608469 composite? True Is 916987 prime? False Is 94681991 a prime number? False Is 18115667 composite? False Is 17929897 composite? False Is 37593449 a prime number? True Is 40140493 composite? False Is 62151569 composite? False Is 8564909 composite? False Is 53903743 a composite number? True Is 1960165 a prime number? False Is 65841343 prime? True Is 85424741 composite? True Is 2572943 composite? True Is 134162879 a composite number? False Is 971093 prime? True Is 11712403 a prime number? False Is 1034623 a composite number? True Is 25956493 a prime number? True Is 867421 a composite number? True Is 78314261 a composite number? True Is 8379733 a prime number? False Is 38730829 a composite number? False Is 524077487 a composite number? False Is 138729161 composite? False Is 45826331 a composite number? False Is 5711891 a prime number? True Is 327917 a composite number? False Is 25565431 prime? False Is 1515049501 a prime number? False Is 1172489 a prime number? False Is 4338083 prime? True Is 5682631 a composite number? False Is 4541885 composite? True Is 16147211 composite? False Is 9533851 a prime number? True Is 245587 composite? False Is 7784113 composite? True Is 21625729 prime? True Is 60839447 a composite number? True Is 20755731 prime? False Is 4364267 a composite number? False Is 59215379 composite? False Is 2268371 composite? True Is 231363611 composite? True Is 6193043 a prime number? True Is 8024117 composite? False Is 8669683 a prime number? False Is 507792695 a composite number? True Is 5888787 a composite number? True Is 16271 a prime number? False Is 59075189 a prime number? False Is 3765479 a composite number? True Is 14983 prime? True Is 2339959 composite? True Is 1338779969 a prime number? True Is 320182873 prime? True Is 53507669 a composite number? False Is 2050361 prime? True Is 79013851 a prime number? False Is 2335939 a prime number? False Is 52213285 a composite number? True Is 304211695 prime? False Is 55166141 prime? True Is 1696612655 composite? True Is 25289393 a prime number? False Is 3981913 composite? True Is 28845347 prime? True Is 57000761 composite? False Is 71201437 prime? False Is 48857681 a composite number? True Is 53177203 a prime number? True Is 190243 composite? False Is 13199941 prime? False Is 87296021 a prime number? False Is 353527 a prime number? True Is 10077791 prime? False Is 406792511 composite? False Is 32741 a prime number? False Is 30679669 composite? False Is 51240023 a prime number? False Is 726076783 a composite number? True Is 168698935 prime? False Is 40676817 prime? False Is 13407007 prime? False Is 716827 prime? True Is 54733083 prime? False Is 406047539 prime? True Is 14911459 a prime number? True Is 24657979 a composite number? False Is 4883169 composite? True Is 2287739 composite? False Is 4026889 a composite number? False Is 24459139 a prime number? True Is 64084369 composite? False Is 445954403 a prime number? True Is 9783421 a composite number? True Is 2745437 a prime number? False Is 28429451 composite? False Is 694151 prime? False Is 82224071 a prime number? False Is 407557 composite? True Is 5167091 a prime number? False Is 270771899 composite? False Is 2820991 a prime number? False Is 2255291 prime? True Is 30594727 a composite number? True Is 230424163 a composite number? True Is 4391303 a prime number? False Is 28733717 a composite number? False Is 3872359 prime? True Is 11523271 a prime number? True Is 5490365 a composite number? True Is 10266511 prime? True Is 52137119 a composite number? True Is 4278871 a prime number? False Is 86476673 a prime number? False Is 54731417 a composite number? True Is 2081237 a composite number? False Is 64825333 a prime number? True Is 5380003 a composite number? False Is 173436841 composite? False Is 95288657 composite? False Is 38594533 prime? True Is 2836921 a prime number? False Is 85139731 prime? False Is 2312249 a prime number? True Is 12821189 a composite number? True Is 1642411 a prime number? False Is 11114137 composite? True Is 76855511 a composite number? False Is 228516373 prime? True Is 130640893 prime? True Is 6707791 composite? True Is 25798907 prime? False Is 437565581 composite? False Is 15668309 a composite number? False Is 17862731 a composite number? False Is 95655913 a prime number? True Is 205892311 a composite number? False Is 94312931 a prime number? True Is 53069 a composite number? False Is 8600881 prime? True Is 5413574 composite? True Is 962279 prime? False Is 409083 a prime number? False Is 793397141 a prime number? True Is 54106967 a prime number? True Is 2504293 composite? True Is 52597163 prime? False Is 1556539 prime? False Is 1593721 a prime number? False Is 3883778 composite? True Is 3882293 prime? False Is 12435167 a composite number? False Is 2677161 a prime number? False Is 2735257 prime? False Is 105451849 prime? False Is 945467521 a composite number? False Is 69270611 composite? False Is 3806443 a prime number? False Is 2824499 composite? True Is 11093983 composite? False Is 5951633 prime? True Is 34671797 prime? False Is 152112341 composite? False Is 566911 prime? True Is 3650473 a prime number? False Is 117559877 composite? True Is 5563721 composite? False Is 6900679 a composite number? False Is 17008571 prime? True Is 3502873 composite? True Is 1306717 prime? True Is 155486791 prime? True Is 13984301 prime? True Is 45568501 a prime number? False Is 24456083 prime? True Is 42072169 composite? True Is 12906779 prime? True Is 60544937 prime? True Is 14206177 a prime number? False Is 29849377 a prime number? False Is 6340297 prime? True Is 225984211 prime? False Is 72397565 prime? False Is 15426829 a composite number? True Is 316753 composite? False Is 15731 a composite number? False Is 1629499 a composite number? True Is 18078401 prime? False Is 741031 prime? True Is 26711315 prime? False Is 16592486 a composite number? True Is 20579123 a prime number? True Is 930301 a prime number? True Is 8477457 a prime number? False Is 14447029 a composite number? False Is 109614019 composite? False Is 1932317 a prime number? True Is 533909 a composite number? False Is 123787 prime? True Is 262185263 a composite number? True Is 286017257 composite? True Is 65509 prime? False Is 30222547 a composite number? False Is 1354453 a composite number? True Is 135660547 a composite number? True Is 2461139 compo
{ "pile_set_name": "DM Mathematics" }
229, -4241, -4263, -4295, -4337, -4389, -4451? -5*f**2 + 3*f - 4227 What is the w'th term of 89, 130, 157, 170, 169, 154, 125? -7*w**2 + 62*w + 34 What is the g'th term of 5784, 5776, 5768, 5760, 5752, 5744? -8*g + 5792 What is the q'th term of -227, -245, -265, -281, -287, -277, -245, -185? q**3 - 7*q**2 - 4*q - 217 What is the h'th term of 14824, 14729, 14644, 14575, 14528, 14509, 14524? h**3 - h**2 - 99*h + 14923 What is the d'th term of -98837, -197684, -296537, -395396, -494261, -593132, -692009? -3*d**2 - 98838*d + 4 What is the m'th term of -13095, -26154, -39213, -52272? -13059*m - 36 What is the z'th term of 2623, 2625, 2627? 2*z + 2621 What is the n'th term of -557, -550, -543? 7*n - 564 What is the r'th term of -128, -257, -402, -569, -764, -993, -1262? -r**3 - 2*r**2 - 116*r - 9 What is the c'th term of -12009, -24024, -36045, -48072, -60105, -72144, -84189? -3*c**2 - 12006*c What is the u'th term of -2115, -4220, -6325, -8430, -10535, -12640? -2105*u - 10 What is the c'th term of -320, -236, -8, 436, 1168? 12*c**3 - 332 What is the o'th term of -1151, -2164, -3153, -4106, -5011, -5856, -6629? 2*o**3 - 1027*o - 126 What is the x'th term of 315, 1217, 2711, 4797, 7475, 10745, 14607? 296*x**2 + 14*x + 5 What is the k'th term of -40, -99, -210, -385, -636? -2*k**3 - 14*k**2 - 3*k - 21 What is the p'th term of 2077, 2082, 2087? 5*p + 2072 What is the g'th term of -210, -411, -626, -855, -1098, -1355? -7*g**2 - 180*g - 23 What is the x'th term of -176, -358, -548, -746, -952? -4*x**2 - 170*x - 2 What is the m'th term of -1282, -10477, -35450, -84091, -164290? -1315*m**3 + m**2 + 7*m + 25 What is the b'th term of -5211, -5246, -5281, -5316? -35*b - 5176 What is the f'th term of -5, 17, 39, 55, 59? -f**3 + 6*f**2 + 11*f - 21 What is the i'th term of -4325, -4313, -4301, -4295, -4301, -4325, -4373? -i**3 + 6*i**2 + i - 4331 What is the w'th term of 72718, 72724, 72730, 72736, 72742? 6*w + 72712 What is the p'th term of 494, 1013, 1562, 2141, 2750? 15*p**2 + 474*p + 5 What is the p'th term of 52, 152, 312, 532, 812, 1152? 30*p**2 + 10*p + 12 What is the g'th term of 14079, 28232, 42383, 56532, 70679? -g**2 + 14156*g - 76 What is the g'th term of -15, 492, 1327, 2484, 3957, 5740, 7827? -g**3 + 170*g**2 + 4*g - 188 What is the w'th term of 8874, 8898, 8948, 9036, 9174, 9374? 2*w**3 + w**2 + 7*w + 8864 What is the t'th term of -4, 27, 62, 101, 144? 2*t**2 + 25*t - 31 What is the p'th term of -1168, -2345, -3522, -4699? -1177*p + 9 What is the p'th term of -2291, -2340, -2389, -2438, -2487? -49*p - 2242 What is the n'th term of 695, 710, 725, 740? 15*n + 680 What is the r'th term of -1132200, -2264399, -3396598, -4528797? -1132199*r - 1 What is the f'th term of -267887, -535760, -803633, -1071506, -1339379, -1607252? -267873*f - 14 What is the h'th term of -13600, -27210, -40820, -54430, -68040, -81650? -13610*h + 10 What is the u'th term of 19451, 38888, 58321, 77750, 97175? -2*u**2 + 19443*u + 10 What is the d'th term of -1328, -2665, -4012, -5375, -6760, -8173, -9620? -d**3 + d**2 - 1333*d + 5 What is the u'th term of -337, -192, -49, 92, 231, 368, 503? -u**2 + 148*u - 484 What is the t'th term of -524, -1026, -1536, -2054, -2580, -3114? -4*t**2 - 490*t - 30 What is the f'th term of 146, -311, -768, -1225? -457*f + 603 What is the z'th term of -6, 15, 130, 405, 906? 11*z**3 - 19*z**2 + z + 1 What is the l'th term of 4782, 19186, 43192, 76800, 120010, 172822? 4801*l**2 + l - 20 What is the s'th term of -1198, -1207, -1220, -1237? -2*s**2 - 3*s - 1193 What is the y'th term of -14618, -29213, -43808, -58403? -14595*y - 23 What is the g'th term of -312, -414, -580, -810, -1104, -1462? -32*g**2 - 6*g - 274 What is the r'th term of 420, 416, 412? -4*r + 424 What is the f'th term of 15405, 15429, 15453? 24*f + 15381 What is the q'th term of -11163, -11122, -11059, -10980, -10891? -q**3 + 17*q**2 - 3*q - 11176 What is the v'th term of 297, 348, 399? 51*v + 246 What is the d'th term of 6162, 13222, 20282, 27342, 34402? 7060*d - 898 What is the b'th term of -1448, -1454, -1460, -1466? -6*b - 1442 What is the a'th term of -8101, -8092, -8083? 9*a - 8110 What is the k'th term of 503, 591, 689, 797? 5*k**2 + 73*k + 425 What is the n'th term of 41, 44, 51, 68, 101, 156? n**3 - 4*n**2 + 8*n + 36 What is the s'th term of -120594, -120592, -120590, -120588? 2*s - 120596 What is the m'th term of -4371, -8711, -13043, -17367, -21683, -25991, -30291? 4*m**2 - 4352*m - 23 What is the k'th term of 79, -13, -99, -173, -229, -261? k**3 - 3*k**2 - 90*k + 171 What is the c'th term of 7658, 7548, 7452, 7376, 7326? c**3 + c**2 - 120*c + 7776 What is the d'th term of -3007, -3148, -3377, -3688, -4075, -4532? d**3 - 50*d**2 + 2*d - 2960 What is the h'th term of 490, 452, 390, 304, 194? -12*h**2 - 2*h + 504 What is the s'th term of -1488, -1965, -2442? -477*s - 1011 What is the n'th term of 17045, 34091, 51127, 68147, 85145, 102115? -n**3 + n**2 + 17050*n - 5 What is the f'th term of 11680, 11638, 11598, 11560, 11524, 11490? f**2 - 45*f + 11724 What is the x'th term of 768, 1382, 2008, 2652, 3320? x**3 + 607*x + 160 What is the v'th term of -866, -1737, -2604, -3467? 2*v**2 - 877*v + 9 What is the v'th term of 582947, 1165895, 1748845, 2331797, 2914751? v**2 + 582945*v + 1 What is the r'th term of -155, -108, 199, 772, 1617? r**3 + 124*r**2 - 332*r + 52 What is the n'th term of -855, -1708, -2565, -3426, -4291, -5160, -6033? -2*n**2 - 847*n - 6 What is the g'th term of 112, 213, 304, 379, 432, 457? -g**3 + g**2 + 105*g + 7 What is the z'th term of 69521, 139037, 208539, 278021, 347477, 416901? -z**3 - z**2 + 69526*z - 3 What is the w'th term of -4006, -4158, -4310, -4462, -4614, -4766? -152*w - 3854 What is the n'th term of 138, -1013, -3450, -7173? -643*n**2 + 778*n + 3 What is the w'th term of 30268, 30269, 30270? w + 30267 What is the r'th term of -634, -848, -1062, -1276, -1490, -1704? -214*r - 420 What is the v'th term of -3501321, -7002637, -10503951, -14005263, -17506573, -21007881, -24509187? v**2 - 3501319*v - 3 What is the n'th term of 1254592, 1254591, 1254590, 1254589? -n + 1254593 What is the x'th term of -339, -524, -699, -858, -995, -1104, -1179, -1214? x**3 - x**2 - 189*x - 150 What is the k'th term of -19135, -19189, -19245, -19303, -19363? -k**2 - 51*k - 19083 What is the k'th term of -1633, -3375, -5117, -6859, -8601? -1742*k + 109 What is the w'th term of -204, -409, -614, -819, -1024? -205*w + 1 What is the i'th term of 609, 616, 623, 630? 7*i + 602 What is the w'th term of 409, 668, 777, 736? -75*w**2 + 484*w What is the u'th term of 38, 56, 94, 164, 278, 448, 686, 1004? 2*u**3 - 2*u**2 + 10*u + 28 What is the c'th term of 1084, 1337, 1588, 1837? -c**2 + 256*c + 829 What is the t'th term of 97231, 97237, 97243, 97249, 97255, 97261? 6*t + 97225 What is the c'th term of -1851, -2143, -2629, -3309, -4183, -5251, -6513? -97*c**2 - c - 1753 What is the v'th term of -490, -1027, -1602, -2215? -19*v**2 - 480*v + 9 What is the p'th term of 162, 374, 572, 750, 902, 1022, 1104, 1142? -p**3 - p**2 + 222*p - 58 What is the n'th term of -3562, -7073, -10584? -3511*n - 51 What is the y'th term of -9581, -38326, -86235, -153308, -239545, -344946, -469511? -9582*y**2 + y What is the s'th term of -221, 207, 1381, 3673, 7455? 62*s**3 + s**2 - 9*s - 275 What is the x'th term of -533, -1002, -1467, -1922, -2361, -2778, -3167? x**3 - 4*x**2 - 464*x - 66 What is the l'th term of 51, 353, 853, 1545, 2423, 3481, 4713, 6113? -l**3 + 105*l**2 - 6*l - 47 What is the y'th term of -51434, -102869, -154304? -51435*y + 1 What is the z'th term of -701, -537, -373, -209, -45, 119? 164*z - 865 What is the c'th term of -109, -344, -977, -2206, -4229, -7244? -33*c**3 - c**2 - c - 74 What is the d'th term of 17039, 34074, 51109, 68144? 17035*d + 4 What is the a'th term of -4178702, -8357405, -12536108, -16714811? -4178703*a + 1 What is the l'th term of -38694, -38687, -38680? 7*l - 38701 What is the i'th term of -2288, -4546, -6804, -9062, -11320? -2258*i - 30 What is the r'th term of 1752, 4257, 11056, 24297, 46128, 78697? 358*r**3 - r**2 + 2*r + 1393 What is the f'th term of -56224, -112442, -168658, -224872, -281084, -337294? f**2 - 56221*f - 4 What is the f'th term of -36992, -
{ "pile_set_name": "DM Mathematics" }
(o) be the first derivative of u(o). Determine j(3). 6 Let m(h) = 3*h + 8*h + 12*h - 31*h + 1 + 9*h. Give m(-2). -1 Let l be (1 - (-2 - -3))/2. Let t = 0 - l. Let h(b) = 2 - 1 + t*b**2 + 0*b**2 - 11*b**3. What is h(-1)? 12 Let q(u) be the first derivative of 1/2*u**2 + 8/3*u**3 - 3 + 5*u + 1/4*u**4. What is q(-8)? -3 Let w(i) = i**3 - 6*i**2 + 3*i - 4. Let l(b) = -b**3 + 7*b**2 - 4*b + 4. Let c(r) = 3*l(r) + 4*w(r). Let h = -83 + 95. Let m be (-5 + 84/16)*h. Calculate c(m). -4 Let z(h) = h**2 + 4 + 12 - 4*h**2 + 1 + 4*h**2 + 8*h. Give z(-6). 5 Suppose 0 = -4*d - 2*v - 28, 3*d = -13*v + 9*v - 26. Let j(i) = -i**3 - 7*i**2 - 8*i + 5. What is j(d)? 17 Let j(b) = b**3 - 14*b**2 - 17*b + 2. Let m = -1054 + 1069. Calculate j(m). -28 Let t = 21 - 6. Suppose b + t = -2*b. Let p(x) be the first derivative of x**2/2 + x - 1. Give p(b). -4 Let g(l) = -5*l**2 + 6*l - 19. Let b(j) = 4*j**2 - 5*j + 16. Let t(w) = 6*b(w) + 5*g(w). Let z = -5 - -9. Suppose -3*f = -z*x - 3, 3*f = -x - f + 23. Give t(x). -8 Let t be 4/(-10) + (-159)/15. Let l(i) = -i**3 - 11*i**2 - 2*i - 10. Let m be l(t). Let d(a) = 14 - 2*a - m - a**2 - a. What is d(-3)? 2 Let i(h) be the second derivative of h**7/840 + h**6/60 - h**5/120 + h**4/6 - 2*h**3/3 + 8*h. Let t(q) be the second derivative of i(q). Calculate t(-6). 10 Let n(w) = -6*w + 3. Let t(h) = 23*h - 13. Let y(f) = 9*n(f) + 2*t(f). Let u be 1/(10/(-6))*120/(-12). Suppose 11 = u*s + 5. Give y(s). -7 Let m(x) = x**2 + 9*x + 6. Let r be (-5)/10*42/3. Determine m(r). -8 Let o(i) be the first derivative of -i**5/60 - i**4/4 - 7*i**3/6 - 3*i**2 + 11. Let g(d) be the second derivative of o(d). What is g(-6)? -7 Suppose 0 = -3*h - 5*a - 1, -5*h = -4*a + 3*a - 17. Suppose h = 3*r - 6. Let q(c) = -c**3 + 7*c**r + 0*c**3 + 2*c**3. Calculate q(-1). -8 Suppose 2*d - 5*x - 9 = d, -3*d = 4*x - 8. Suppose 0 = -4*k - d - 20. Let n(h) = h**3 + 5*h**2 - 7*h - 7. Determine n(k). -1 Let z(p) = p**2 + p - 14. Let b = -218 - -218. Calculate z(b). -14 Let b = -72 - -75. Let r(t) = -2 + 12*t + t**2 - 7*t - b*t. Let g = -4 - -1. Determine r(g). 1 Suppose -3*z + 10 = 1. Let i(x) = -x - 7. Let c be i(-10). Let t(a) = c - 5 - 2 + a**2 + 1. Calculate t(z). 6 Let y(j) be the first derivative of -j**4/2 + 2*j**3/3 + 4*j + 5. What is y(2)? -4 Let m(v) = v - 1. Let z(n) = -n**3 - 7*n + 24. Let g(t) = -6*m(t) - z(t). Calculate g(0). -18 Let f(n) = n**3 + 8*n**2 + 16*n + 124. Let w be f(-8). Let c(t) = t**3 + 4*t**2 + 3*t - 8. What is c(w)? -20 Let p = 201 - 221. Suppose 0*x - 3*x = 75. Let u = p - x. Let t(l) = l**2 - 6*l + 2. Calculate t(u). -3 Let c(d) be the first derivative of 1/2*d**2 + 2*d + 1/6*d**3 + 1/12*d**4 - 11. Let f(p) be the first derivative of c(p). What is f(-1)? 1 Let p(d) be the third derivative of d**5/60 + d**4/24 - 19*d**2 - 6. Give p(-2). 2 Let b be (-8)/(-6) - 5/15. Suppose -4*s = -5*s - b. Let h be (-4)/s + (-3)/(-1). Let t(w) = 2*w - 8. What is t(h)? 6 Let p(j) = 3*j - 13. Let s(c) = -10*c + 37. Let t(a) = -17*p(a) - 6*s(a). Give t(2). 17 Let f(q) = -q**2 + 9*q + 11. Suppose 4*k - 15 = y + 27, -5*y = k. What is f(k)? 1 Let k(q) be the second derivative of q**4/6 - 4*q**3/3 + 5*q**2/2 + 18*q. What is k(6)? 29 Let c(d) = -15*d - 1. Let f(r) = 3*r - 17. Let s be f(7). Suppose -x - 5*k = 2*x - 22, -20 = -s*k. Determine c(x). 14 Let f be (-2)/((18/(-21))/(-3)*-1). Suppose -8*y + f*y - 3 = 0. Let i(w) = w**2 + 5*w + 3. Determine i(y). -3 Let d(x) = x**2 + 6*x - 3. Let n be 12 + -1 + 2/1. Suppose -r = 18 - n. What is d(r)? -8 Let y(q) be the third derivative of 0 - 1/24*q**4 - 18*q**2 + 1/60*q**5 + 3/2*q**3 + 0*q. Calculate y(0). 9 Let b(g) be the third derivative of 1/2*g**3 - 1/120*g**6 + 0 + 0*g - 1/12*g**4 + g**2 - 1/60*g**5. Suppose 0*f + 2*u + 10 = f, -3*f = 5*u + 14. Give b(f). -13 Suppose 3*v = -5*i + 22 - 422, 5*v + 615 = 2*i. Let p = 128 + v. Let n(m) = -2*m**2 + 4*m - 2. Give n(p). -8 Let d = -29 + 31. Let q(a) = 1 - 3*a + 2*a + 6*a - d*a. Determine q(-3). -8 Let w(j) be the first derivative of -j**3/3 + 6*j**2 + 17*j + 38. Calculate w(13). 4 Let q(v) = 3*v**2 + v + 2. Suppose 6*c + 278 - 272 = 0. Give q(c). 4 Let n(w) be the third derivative of w**8/20160 + 11*w**6/720 - w**5/15 - 7*w**3/6 + w**2 + 5*w. Let u(q) be the third derivative of n(q). What is u(0)? 11 Let q = 3694 + -3689. Let m(j) = -7*j**3 + 14*j**2 - 9*j - 7. Let u(p) = 3*p**3 - 7*p**2 + 5*p + 3. Let z(k) = 2*m(k) + 5*u(k). Calculate z(q). -14 Let z(k) = -2*k + 9. Let t(u) = 6*u - 5. Let w be t(2). Determine z(w). -5 Let x be (-4*(-5)/10)/((-2)/6). Let y(d) = -8*d - 42. Let u be y(x). Let b(h) = -h**2 + 6*h - 9. What is b(u)? -9 Suppose 5*x - 1 - 14 = 0. Let z be (-40)/15*x/(-2). Suppose l = -1, 3*q + z*l = 2*l - 17. Let n(d) = d**3 + 5*d**2 - 3*d - 4. Calculate n(q). 11 Let a(n) = n**2 + 6*n + 1. Suppose 11 = -j + 35. Suppose -6*s = -10*s - j. Calculate a(s). 1 Let q(i) = i - 2. Suppose 19*c - 14 = -109. Calculate q(c). -7 Let p(m) = -2*m. Suppose 36 = 10*r - 4. What is p(r)? -8 Let g be (-4)/(-14) - 26/(-7). Let x(w) = w**2 - 6*w + 7. Let c be x(g). Let i(o) = -4*o**2 - 9*o**3 - 3*o**2 + 2*o**3 + 8*o**2. Calculate i(c). 8 Let o(y) = -y**2 + 3*y - 2. Let c(l) = l**2 - 2*l + 3. Let i(h) = 2*c(h) + 3*o(h). Let b = 2 + 3. What is i(b)? 0 Let x(k) = k**3 - 5*k**2 - 4*k - 6. Let p be x(6). Let l(b) be the first derivative of b**3/3 - 3*b**2 + 4*b - 17. Calculate l(p). 4 Suppose -d = 2*d. Suppose -5*n + 4*j - 11 = d, 0*n = -4*n + j. Let b(a) = 6*a + 1. Calculate b(n). 7 Let p(m) = -5*m + 1. Let g(f) = 5*f - 2. Let l(w) = 5*g(w) + 6*p(w). Suppose -2*z + 0*z = -10. Let u(a) = 4*a + 3. Let i(r) = z*l(r) + 6*u(r). What is i(-6)? 4 Let s(r) = -r**3 - 4*r**2 + 6*r - 8. Let p(x) = -x**3 - 16*x**2 - 16*x - 21. Let a be p(-15). What is s(a)? 28 Let t(j) = j - 4. Let q be (-3)/(-6)*(15 - 1). Suppose 2*c - q = c. Suppose 0 = 2*m + 5*a - c, 3*a + 3 = -3*m - 0*m. What is t(m)? -8 Let o(g) = g**2 + 7*g - 22. Let z be o(-7). Let h be (-1)/2 + (-11)/z. Let w(n) = n - 2. Determine w(h). -2 Suppose -38*g - 78 = 454. Let i(o) = 4*o + 35. What is i(g)? -21 Let y be (2/4*0)/(29 - 27). Let f(n) = n**2 - n + 40. Calculate f(y). 40 Let p = -94 + 91. Let w(z) = -z. Calculate w(p). 3 Let l(p) = p. Let z(o) = o**3 + 4*o**2 + o + 4. Suppose 4 = w + 1. Suppose 0 = 4*f - f - w. Let i(r) = f*z(r) + 4*l(r). Give i(-4). -16 Let s = 5 - 7. Let d(p) = 3*p**3 + 7*p**2 + 2*p + 2. Let h(x) = -16*x**3 - 36*x**2 - 9*x - 10. Let t(l) = 11*d(l) + 2*h(l). Give t(s). 6 Let g(h) = -2 - 361*h + 167*h + 176*h. Calculate g(-2). 34 Let t(c) = -2*c**2 - 7*c + 3*c**2 - 4*c - 5 + 10*c. Suppose 5*v + n = -4, 0 = -0*n + 3*n + 12. Determine t(v). -5 Let s(y) = 1 - 3 - y**3 + 0*y**2 + 0*y**2 - 2*y + 4*y**2 - 10*y**2. Determine s(-6). 10 Let c be (2/10)/((-17)/(-51))*5. Let j(h) = -h**3 + 4*h**2 - 5*h + 7. Calculate j(c). 1 Let g(f) = 5*f - 17. Let o(s) = s - 4. Let j(y) = 2*g(y) - 9*o(y). Let u be (10/15)/((-1)/(-6)). Suppose -3*k - 31 = -4*x, -x + 40 = 4*x - u*k. Determine j(x). 6 Let m(g) = -g**3 + g**2 + g + 9. Let x = -95 - -97. Let p be (3 - (1 + x))*-1. Determine m(p). 9 Let g(y) = y**2 - 8*y - 6. Let a = 1541 - 1533. Calculate g(a). -6 Suppose -3*b + 3*z = 66, -5*b + 2*z = 44 + 54. Let r be (-64)/b + 8/18. Let o(p) = 3*p - 2. Calculate o(r). 10 Let m(w) be the third derivative of -w**4/6 + w**3/3 - 35*w**2. Determine m(-2). 10 Let w(p) = -6 - p**2 - 2 - 16*p + 5*p. Give w(-12). -20 Let o(u) be the first derivative of -5*u**2/2 - 5*u - 576. What is o(5)? -30 Let z(j) = -j**2 - 11. Let r(p) = -14*p - 84. Let f be r(-6). Give z(f). -11 Let b(v) be the second derivative of v**5/20 + v**4 + 13*v**3/6 + 15*v**2/2 - 21*v. Suppose -4*s + 2*h - 29 - 17 = 0, 0 = -h + 1. Determine b(s). -7 Let a(r) be the second derivative of r**3/2 + 2*r**2 + 845*r. Suppose 5*y - 1 = -16. What is a(y)? -5 Suppose -7*w + 3*w = 0. Suppose -5*o - 3*g + g - 22 = w, 0 = g + 1. Let b(j) = 6*j**2 + 8*j - 5. Let c(q) = -q**2 - q. Let d(h) = -b(h) - 5*c(h). What is d(o)? 1 Suppose 16 = 5*t - t. Suppose j - 3*p + 6 = 0, 0 = -j + t*p - 9*p + 10. Let m(q) = 15 + 12*q**2 - q - 12*q**2 - q**3. What is m(j)? 15 Let n(k) = 2*k**2 - 5*k - 2. Let q be (-12)/(-9)*-9*(-20)/48. What is n(q)? 23 Let x(r) = 6*r - 92. Let f(h) = -5*h + 80. Let l(y) = -7*f(y) - 6*x(y)
{ "pile_set_name": "DM Mathematics" }
)*(-2*b - 2 + 2) + (-2*b - 8*b - 2*b)*(0*b + 0*b + b**4). -15*b**5 Expand c**5 - c**5 - 3*c**5 + (11*c**5 + 54*c**2 - 54*c**2)*(-3 + 2 + 0) - c**5 - 3*c**5 + 2*c**5 + 1 - 1 - c**5 + (2*c**4 - c**4 - 2*c**4)*(2*c + 4*c - 4*c). -19*c**5 Expand -3*q**3 + 0*q + 0*q + (q + 3*q - 5*q)*(3*q**2 - q**2 - q**2) - 4*q**3 + 3*q**3 + 4*q**3 + (-2*q - q**2 + 2*q)*(2*q - 1 + 1). -3*q**3 Expand (-5*f + 2*f + f)*(-2 + 1 + 5)*(4*f - 6*f + 4*f). -16*f**2 Expand v**2 - 3 + 5 - 3 + (-v + 0*v - 4*v)*(8*v - 2*v - 5*v). -4*v**2 - 1 Expand (5*x**2 - 10*x**2 - 4 + 6*x**2)*(-3*x**2 - 2*x**2 + 4*x**2). -x**4 + 4*x**2 Expand (r**3 + r - r + (4 - 4 + 2)*(4*r**2 - 4*r**2 + r**3) + r**3 - 2*r + 2*r)*(0 - 3 + 2)*(3*r + 2*r - 7*r). 8*r**4 Expand 2*u**2 - 3*u**2 - u**2 + (-14*u + u + 0*u)*(-2 + u + 2) + 4*u - 4*u + u**2. -14*u**2 Expand 2*k**2 + k - k - 4*k**2 + 5*k**2 - 2*k**2 + 2*k**2 + 2*k**2 - k**2 + (-k - 3*k + 6*k)*(3*k + 0*k - 2*k) + (-k + 2 - 2)*(-3*k + 0*k + 5*k). 4*k**2 Expand (-4 + 3 + 5)*(6*j + 3*j - 4*j). 20*j Expand (4 + 1 - 4)*(-1 + 2*u + 1)*(-11*u**2 - 9*u**2 + 5*u**2). -30*u**3 Expand (-2*r - r + 2*r)*(3 - 2 + 2)*((-1 + r + 1)*(1 - 5 + 2) + r - r - 3*r - 2*r - 2*r + 5*r)*(0*r**3 + r**3 - 3*r**3). -24*r**5 Expand (-3*n**3 - 3*n**3 + 4*n**3)*(2 - 2 + n) + 16*n**4 - 10*n**4 + 2*n**3 - 79*n**4. -75*n**4 + 2*n**3 Expand (-1 + 0 + 0)*(0 + 0 + 1)*(-4 - 10*v + 4). 10*v Expand (-7 + 7 - 5*y**4)*(3 - 15 - 5)*(3 - 3 - 2). -170*y**4 Expand 3*z**4 - 4*z**4 + 0*z**4 + ((0 + 2*z + 0)*(-1 + 1 + z) + z - z + 3*z**2)*(z**2 - z + z). 4*z**4 Expand ((q - q + q)*(3*q + 2 - 2) - 4*q**2 + 2*q**2 + 0*q**2 - 2*q)*(3*q - q - 4*q)*(-6 - 15 + 1). 40*q**3 - 80*q**2 Expand (4*c**2 + 0*c**2 + 0*c**2)*(10 + 2*c - 10 - 4*c + 4*c + 2*c - 2*c + 0*c + 0*c + (-2 + 3 - 2)*(-3*c + 0*c + 4*c) + 3 - 3 - 2*c). -4*c**3 Expand (3*x**2 - 4*x**2 + 3*x**2)*(-6 - 2*x**3 - 4*x**3 + 3*x**3). -6*x**5 - 12*x**2 Expand 4*j**5 - 2*j**5 + 0*j**5 + (1 + 0 + 0)*(-2*j**3 - j**5 + 2*j**3) - 24*j**2 + 1 - 11*j**5 + 42*j**2 - 16*j**2. -10*j**5 + 2*j**2 + 1 Expand (-35*g - 32 + 32)*(1 - g - 1)*(0*g + 0*g - g + (-2*g + 4*g + 0*g)*(2 + 1 - 5) + 3*g - 5*g + 4*g). -105*g**3 Expand 2*j + 0*j + 9*j + j - 3*j + j + (0*j - j - j)*(-3 + 2 + 3) + 0*j - j - j + 7*j - 2*j - 4*j. 5*j Expand (12*r - 12*r - 8*r**2)*(-4*r + 4*r + 4*r**2). -32*r**4 Expand 3*b**2 + 3*b**2 - 5*b**2 + (17*b + 8*b - 4*b)*(-b + 2*b + b). 43*b**2 Expand (10*p - 5*p - 41 - 3*p)*(-2*p - 2 + 2). -4*p**2 + 82*p Expand (-28 + 0 + 11)*(-2*h**3 - 3*h**3 + h**3). 68*h**3 Expand (-3 + 1 + 4)*(0 + 0 - 1)*(-41*d + 16 - 37*d + 75*d). 6*d - 32 Expand (3 - k + 6 - 3)*(2 - 2 - k) + (4*k - 2*k**2 - 4*k)*(4 - 2 - 3). 3*k**2 - 6*k Expand d**4 + 5*d**4 - 2*d**4 + (-2*d**4 + 6*d**4 - 3*d**4)*(-1 - 1 + 3) + 0*d**4 + 2*d**4 - 3*d**4 + 2*d. 4*d**4 + 2*d Expand (1 - 2*c**2 - 1)*(1 - 2*c**2 - 1) - 7*c**4 + c**4 + 3*c**4 + 0*c**4 - c**4 + 0*c**4 + (-3 - 1 + 3)*(3*c**4 - c**4 + 0*c**4) - c**4 + 0*c**4 + 0*c**4. -3*c**4 Expand (2*t**5 - 3*t**3 + 3*t**3)*(-43 + 21 - 42) - t**4 - 2*t**5 + t**4. -130*t**5 Expand (0*g - g + 0*g)*(-11 - 7 + 10 + (-5 - 2 + 6)*(3 - 2 - 2) + 0 - 2 - 1). 10*g Expand u - 16*u**3 + 0*u + 9*u**3 + (-4*u + 3*u + 3*u)*(-u**2 + 2*u**2 + u**2). -3*u**3 + u Expand (3*r + 4*r - 6*r)*(5 + 14 - 4). 15*r Expand (-2*s - 5*s**5 + 2 - 8 + 3)*(0 - 4 + 1). 15*s**5 + 6*s + 9 Expand (-2 + 3 - 2 + (3 - 4 + 2)*(-6 + 6 + 8))*(-2*g**2 + 3*g**2 + 0*g**2). 7*g**2 Expand (2 - 1 + 1)*(-9*h**2 + 9*h**2 + 4*h**3). 8*h**3 Expand 3*p + 3*p - 3*p + (-5 + 0 + 1)*(-2*p + p - p). 11*p Expand x**2 + 0*x**2 + x**2 + 4*x - 4*x + x**2 + (2 - 2 + x)*(3*x + 0*x - x) + 2*x - 2*x - 2*x**2. 3*x**2 Expand (-2*g - 2*g + 3*g)*(-16*g + 118*g**2 + 16*g). -118*g**3 Expand (2 + 4 - 5)*(-1 + 1 + r) - r - 2*r + 2*r + (-r - 8*r - 6*r)*(-1 + 1 - 2). 30*r Expand -a**5 - a**5 + a**5 + (3*a**3 - 4*a**3 + 3*a**3)*(0*a**2 + 0*a**2 - a**2). -3*a**5 Expand (1 - 1 + 2*p)*(3*p**2 + 8*p**4 - 3*p**2). 16*p**5 Expand (-2 + 0 + 3 + (-3 - 5 + 4)*(-3 + 1 + 0))*(2*s**3 - 5*s**3 + 2*s**3). -9*s**3 Expand (-3 + 1 + 4)*(-2*c + c + 5*c)*(5 - 3 - 4). -16*c Expand -m**5 + 2*m**4 - 2*m**4 + (-3*m**2 + m**2 + 5*m**2)*(0*m**3 - 3*m**3 + 2*m**3) - 3*m**5 + m**5 + m**5. -5*m**5 Expand -3*w**4 + 3*w**4 - 2*w**4 + (2*w**3 - 2*w**3 + w**3)*(-19*w + 10*w - w). -12*w**4 Expand ((-2 + 3 - 2)*(-3*h + 2*h - h) - 88 + 22*h + 88)*(-1 + 3 - 1). 24*h Expand (-4 + 0 + 3)*((-h - h + h)*(-6 - 4 + 2) + 0 + 0 + h). -9*h Expand (-6*y + 3*y + y)*(-y + 0*y + 4*y) + (-3*y**2 + y**2 + y**2)*(1 - 5 + 3). -5*y**2 Expand -2*n**2 + 2*n**2 + n**2 + (3 - 3 + 1)*(-4*n**2 + n**2 + n**2) - 2*n**2 - n**2 + n**2 - 5*n**2 + n**2 - 7*n**2. -14*n**2 Expand (-7 + 7 + 12*v**2)*((0*v - 3*v + v)*(-2 + 3 + 1) + 0*v - 4*v + v). -84*v**3 Expand (-3*g + 3*g - g**3)*((-4 + 3 + 3)*(-g - 2*g + 0*g) + (0*g + g + 0*g)*(-1 + 1 - 2)). 8*g**4 Expand d**5 - 2*d**2 + d**4 - d**4 + (-4 - 2*d**4 + 4)*(-3*d + d + 8*d). -11*d**5 - 2*d**2 Expand (-152 + 152 + 12*k**2)*(k**2 - 3*k**2 + 0*k**2) + 2*k**4 - 4*k**4 + k**4 + (-3*k**4 - 2*k**4 + 3*k**4)*(1 - 2 + 3). -29*k**4 Expand (-1 - 3*o + 1)*(3 - 2 + 0) - 2*o + o + 2*o + (3*o - o - o)*(4 + 1 - 4) + 6*o - o - 3*o. o Expand -191*p - 49*p**2 + 191*p + p**2 - 2*p + 2*p + (-2*p**2 + 4 - 4)*(3 + 2 - 4). -50*p**2 Expand 4*q**4 + q**4 + q**4 + (1 - 1 + 2*q)*(-q - 2*q**3 + q) + q**4 + 4*q**4 - 7*q**4 + 2*q - 2*q + 2*q**4 + q**4 + 3*q**3 - 3*q**3 - 3*q**4 + 2*q**4 - 4*q**4. -2*q**4 Expand (-1 + 4 - 5)*(16 - 33 + 11)*(0*w**2 + 0*w**2 - w**2) + 3*w**2 - 5*w**2 + 0*w**2. -14*w**2 Expand (-36 - 19 - 4 + j)*(0*j - 2*j - 2 + 4*j). 2*j**2 - 120*j + 118 Expand (6 - 3 - 4)*((-7*b + 9*b + 9*b)*(0 + 1 - 3) - 5*b + 3*b + 3*b). 21*b Expand (2 - 3 - 1)*(-6 + 5 + 4)*(-1 + 2*h + 1). -12*h Expand (2*i - 45*i - 4*i)*(4*i**3 - 4*i**3 + i**3). -47*i**4 Expand (-3*c - 2*c + 6*c)*(-6*c**2 + 0*c**2 + c**2) - 3*c**3 + 4*c**3 - 2*c**3 - 7*c**3 - c + c. -13*c**3 Expand 25*f**4 - 10*f**4 + 55*f**4 + (0 + 0 - 1)*(2 - 2 - f**4). 71*f**4 Expand (-2*n - 4*n + 5*n)*(-n**4 - 6*n**4 + 3*n**4) + 3*n**5 + n**5 - 5*n**5. 3*n**5 Expand (-2 + 2 - 2*u)*((2 - 4 + 3)*(1 - 2*u - 1) - 6*u - 4 + 4). 16*u**2 Expand (c - 2 + 11 - 2*c)*(0*c**4 - 5*c**4 + 3*c**4). 2*c**5 - 18*c**4 Expand (-1 + 1 + 2*j)*(-4 + j**2 + 4)*(24*j**2 + 26*j**2 + 9*j**2). 118*j**5 Expand (2*y - 3*y + 3*y)*(y + y - y)*(0 - 2 - 1). -6*y**2 Expand (m**2 + 2*m - 2*m)*(-m + 1 - 1) + (-m**3 + 2*m**3 + m**3)*(-3 + 3 - 3). -7*m**3 Expand (c**4 - 5*c**4 + 5*c**4 + c - c + c**4 - 2*c**4 - c**4 + c**4 + (6*c**2 - 3*c**2 - c**2)*(4*c**2 - 3*c**2 + c**2))*(13*c - 6*c - 6*c). 4*c**5 Expand (4 - 6 + 3)*(2 - r - 2) - 3*r - 5*r + 2*r. -7*r Expand (1 + r - 5*r - 3)*(-r + 0*r + 3*r). -8*r**2 - 4*r Expand (2 - 4 + u + u)*(2 + 0 - 3)*(0*u**3 - u**3 + 0*u**3). 2*u**4 - 2*u**3 Expand (-6*f - 9*f - 7*f)*(1 + 3*f**4 - 4*f**4 + 3*f**4). -44*f**5 - 22*f Expand (-5*n**2 + 5*n**2 + 3*n**4)*(-3 + 0 - 1). -12*n**4 Expand (1 - 1 - 2*x)*(11 - 11 - 2*x**2). 4*x**3 Expand -36 + 11*h + 36 + 1 - h - 1 + (-3*h + 2*h + 3*h)*(-3 + 5 - 1). 12*h Expand (1 + 5*r**2 - 1)*(-2 - 2 + 9). 25*r**2 Expand (-2 - 10 - 16)*(-5*f + 3*f + 0*f). 56*f Expand (-2 + 2 - g)*(-2*g + 1 - 1)*(-2*g + 4*g - 5*g). -6*g**3 Expand (i**3 + 28*i**3 + 3*i**3 - i)*(4*i + 6*i - 4*i). 192*i**4 - 6*i**2 Expand (3*x - 7*x + 0*x)*(4 + 0 + 0). -16*x Expand (6*h - h - 3*h)*(-5 + 17*h - 2 + 6). 34*h**2 - 2*h Expand (-3*p**3 - 3*p**3 + 4*p**3)*(0 + 0 - 2 - 3*p). 6*p**4 + 4*p**3 Expand (-2*t**2 + 4 - 4)*(0*t + 4*t - 2*t)*(67 - 18*t**2 - 67). 72*t**5 Expand 7*g - 2 - 3 - 8*g + (g + 2*g - g)*(0 + 0 - 2). -5*g - 5 Expand (-4 + 3 + 3)*(8629*f + 153*f**2 - 8629*f). 306*f**2 Expand -1 - 2*g**3 + 1 + (g**2 + 2*g**2 - g**2)*(g + 4 - 4) + (-1 + 0 + 0)*(-g**3 - g**3 + g**3) - 2*g**3 + 2*g**3 + g**3. 2*g**3 Expand (0 + 2*r + 0)*(-2 + 1 + 3)*(-2 - 4 + 3) + 7*r - 4*r - 8*r. -17*r Expand (-8 + 2 - 59)*(-5 + 3 + 3)*(s**2 - s**2 - 2*s**3) - s**3 + 3*s**3 + 0*s**3. 132*s**3 Expand 5*n**2 + 2 - 2*n**2 - 2*n**2 + (2*n + 1 - 1)*(2*n - 3*n - n) + n**2 - 1 + 1 - 4*n**2 + 5*n**2 + 0*n**2 + 8 + 7*n**2 - 8. 6*n**2 + 2 Expand (-2 + 3 + 0)*(3*a**2 - a**4 - 3*a**2) - 12*a**4 - 3*a**3 + 3*a**3. -13*a**4 Expand (-2 + 7 - 4)*(0*i**4 + 2*i**4 - 5*i**4) - 10*i**4 - i**4 + 2*i**4. -12*i**4 Expand (-16*x - 13*x - x)*(4 + 0 - 3) + (2*x + x - 2*x)*
{ "pile_set_name": "DM Mathematics" }
v = -s - 1272621, 4*s - 4*v = 1696836. Let j(x) = 18508*x + 84. Let q be j(16). Let u = q - s. What is u rounded to the nearest 10000? -130000 Let a = 0.92289 + 0.09231. Round a to 1 dp. 1 Let b = -11.1 - -135.1. Let d = b - 123.8449. What is d rounded to two decimal places? 0.16 Let x = 23873910.04060424 - 23873909. Let j = x + -0.3906056. Let m = j - 0.65. Round m to seven dps. -0.0000014 Let o(g) be the second derivative of g**5/20 + g**4 - 5*g**3/3 + 34*g. Let y be o(-10). Let l be (0 + -17 + -4)*y. What is l rounded to the nearest 1000? -6000 Suppose -6 = -0*l + 2*l. Let p(x) = -2736*x + 12. Let o be p(l). Suppose 2*v - o = v. Round v to the nearest 1000. 8000 Let z = 1.1813 - 1.1841326. Round z to 5 dps. -0.00283 Let u be 15/5*3/9. Let d(v) = -263001*v + 2 - 1 + 0. Let o be d(u). What is o rounded to the nearest ten thousand? -260000 Let a = 76726.70753 - 76797.70752998. Let x = 70.5266 + 0.4734. Let z = x + a. What is z rounded to six decimal places? 0 Let r(s) = s**2 - 3*s + 6. Let a be r(6). Let f = a + -23. Let b be (20100002 - f) + (4 - 1 - 4). Round b to the nearest one million. 20000000 Let w(a) = 525528*a - 18168. Let l be w(6). What is l rounded to the nearest 10000? 3140000 Let t = -11.957 + -40.813. What is t rounded to 0 dps? -53 Let d = -9990 + -174580. What is d rounded to the nearest one hundred thousand? -200000 Let d = -0.112306 + -17.137994. Let n = -17.04 - d. Round n to two dps. 0.21 Suppose n - 116454 = -3*u + 4*u, -5*n - 5*u + 582260 = 0. Suppose -f + 51547 + n = 0. Suppose -d + f = 3*d. Round d to the nearest 10000. 40000 Let p = -6585 + 6650.39. What is p rounded to zero dps? 65 Suppose -19*q + 14 = -20*q. Let v be (24/q)/((-42)/(-2205)). Let n = 34 + v. What is n rounded to the nearest 10? -60 Let g = 12.398 + -12.39797983. Round g to five dps. 0.00002 Suppose 111529704 = 6*t + 18*t. Let n = t + 7602929. What is n rounded to the nearest one million? 12000000 Suppose 14*s - 124379 + 34513 = 0. Let r be (-1)/((-8)/8) + s. Round r to the nearest 1000. 6000 Suppose -3716972 = -10*o - 4*o. Suppose -102*g - x = -105*g - o, 2*g + 4*x = -177008. What is g rounded to the nearest 10000? -90000 Let z be 12/1*(-952)/(-51)*-130625. Round z to the nearest 1000000. -29000000 Let f = -39.6 + -0.4. Let y = 897.3 - 854. Let r = f + y. What is r rounded to one decimal place? 3.3 Let f = -53700024.014221 + 53700049. Let d = -0.016779 + f. Let w = 25 - d. What is w rounded to 2 dps? 0.03 Let d = -10113 - -10112.99898202. Round d to four dps. -0.001 Let q = 4142.2746 - 4141. Round q to one dp. 1.3 Let q(a) = -283*a**3 + 53*a**2 - 6*a + 61. Let c be q(4). Round c to the nearest one thousand. -17000 Let o = -104.11 + 0.11. Let t = -45610.0224 - -45714. Let m = o + t. What is m rounded to 3 dps? -0.022 Let g = 239 - 238.475. Let p = g - 0.08. What is p rounded to 1 decimal place? 0.4 Let l = 2119 + -2119.000000564. What is l rounded to six dps? -0.000001 Let c = -4.74 + 4.7591. Let s = -0.0189892 + c. Round s to 5 decimal places. 0.00011 Let g = 151.212 - 151.211917383. Round g to 5 dps. 0.00008 Let t = 1.4 - 2.442. Let h = -1.04201286 - t. What is h rounded to six dps? -0.000013 Let u = 2131.4003941 + -2131.4. Round u to five decimal places. 0.00039 Let r = -1022.24 + 1056.1. Round r to one dp. 33.9 Let d = 55346892 - 55346607.99979. Let m = 284 - d. Round m to four decimal places. -0.0002 Let m = -1014465 - -1014480.62663. Let g = 4552 - 4536.38. Let r = m - g. Round r to 4 decimal places. 0.0066 Let s = 52.279 - 69.5186. What is s rounded to the nearest integer? -17 Let p = 7.803 - 7.49. Let h = p - 0.45. What is h rounded to 1 decimal place? -0.1 Let p = 9.88 + -9.880394. What is p rounded to four decimal places? -0.0004 Let t = 10609.34822667 + -10128.3482294. Let f = -480.9334 + -0.0666. Let r = f + t. Round r to 7 dps. -0.0000027 Suppose -18*p - 3 = -19*p. Suppose -p*m + 9 + 9 = 0. Suppose 0 = -m*f - 0*f - 1476000. Round f to the nearest one hundred thousand. -200000 Let d = -9305.0001572 + 9305. What is d rounded to 4 decimal places? -0.0002 Let j = 3.293 - 3.36608. Let a = 3.671 - 3.6. Let b = j + a. Round b to 4 decimal places. -0.0021 Let w = -642 - -961. Let r = 267.2576 - -51.7726. Let m = r - w. Round m to 3 decimal places. 0.03 Let v = -11.178 - 18.058. Round v to one decimal place. -29.2 Suppose -8937 + 1962 = 5*q. Let g = q + 3516. Let i = g - 3371. Round i to the nearest 100. -1300 Let i = 17.3 - 86.3. Let l = -34 - i. Let b = l + -34.9964. Round b to three dps. 0.004 Let c(u) = -5*u**2 - 25*u - 17. Let g be c(-4). Suppose 0 = -g*l - 3291 + 672. What is l rounded to the nearest 100? -900 Let y = -1758.2 + 1758.1973606. Round y to 5 dps. -0.00264 Let q = 4461362 - 4461206.03928. Let o = 156 - q. What is o rounded to three decimal places? 0.039 Let h = 164.465 - -0.535. Let r = -165.000003883 + h. What is r rounded to six decimal places? -0.000004 Let p = -0.00996 + -233.09004. Let o = p - -222. Let k = 11.09813 + o. Round k to 4 decimal places. -0.0019 Let u = -8.62 - 2.08. Let s = u - -5.6. Let o = s + 3.6. Round o to one dp. -1.5 Let j = -118971.999756652 + 118972. What is j rounded to five dps? 0.00024 Let c be -13 + (-5949476)/(-195) + (-2)/15. Suppose 3*s + 4*r + 33378 = 0, 4*r + c = -4*s - 14011. Round s to the nearest one hundred. -11100 Let d = -6.99 - -5.73. Let a = d - 0.991. What is a rounded to 1 dp? -2.3 Let v = 29.2 + 0.8. Let b = -29.9595 + v. Let d = b - 0.0405669. What is d rounded to 5 dps? -0.00007 Let v = 106846 + -106845.9999902793. Round v to seven dps. 0.0000097 Let f = -498.15 + 498.127657. Round f to four dps. -0.0223 Let z = 1171.58602 - 1357.593. Let o = z + 186. What is o rounded to 3 dps? -0.007 Let v = -8176663 + 8176210.0353. Let j = v - -453. Round j to two dps. 0.04 Let a = 8999651064.99999922 + -8999650923. Let x = a - 142. Round x to 7 dps. -0.0000008 Let j = 38096 - 50010. What is j rounded to the nearest one thousand? -12000 Let p = -0.067231 - -5598.467231. What is p rounded to the nearest 100? 5600 Let x = 10.969 + 0.031. Let z = -11.00000148 + x. What is z rounded to six dps? -0.000001 Let s = 7063 - 7062.999990778. What is s rounded to six decimal places? 0.000009 Let j(s) = -2567*s - 536. Let x be j(-38). What is x rounded to the nearest 1000? 97000 Let l be 106/(-53)*(26629/(-2) - 1). Suppose 29*b + 4*b = -l. Round b to the nearest 100. -800 Let z = 23772 - 23773.1729. Round z to 1 decimal place. -1.2 Let x be 20/(-6)*(-180)/150. Let b = -22 - 10. Let i be 92792/b + (-1)/x. What is i rounded to the nearest one thousand? -3000 Suppose 21*p - 19*p = 4*b - 60991994, -2*p = -b + 15247994. What is b rounded to the nearest 100000? 15200000 Let s = -41.110022836 + 41.11. Round s to six decimal places. -0.000023 Suppose 0 = -2*o + 1628 - 240. Let c be o + (1 - (-8)/28*-7). What is c rounded to the nearest 100? 700 Let v = 1.125 - 1.26. Let o = -0.1350896 - v. What is o rounded to 5 decimal places? -0.00009 Let n = -0.4334 + -0.541. Round n to one decimal place. -1 Suppose -169*y + 170*y = 227360168. Let o be y/(-28) + 2*3. Round o to the nearest 1000000. -8000000 Let q = 2178.1 + -667.25. Let i = q + -1481. What is i rounded to 0 dps? 30 Let m be (-6)/10 + (-90)/(-25). Suppose 0 = -m*n + 400 + 11. Let a = -99 - n. Round a to the nearest ten. -240 Let o(d) = -200*d**2 + 62*d + 146. Let k(z) = -29*z**2 - z - 3. Let c be k(1). Let l be o(c). What is l rounded to the nearest 100000? -200000 Let t = -0.056114 - -0.056161982. Round t to seven dps. 0.000048 Let w = 0.05815 + 0.56935. What is w rounded to two dps? 0.63 Let j be ((-21)/(-6))/(2/48) - 3. Let d be (320*j/(-6))/(12/(-5000)). What is d rounded to the nearest 1000000? 2000000 Let m = 4443.569200716 + 0.002199284. Let r = m - 4444. What is r rounded to 2 dps? -0.43 Let f = 47.86524 - 0.02024. What is f rounded to zero dps? 48 Suppose 0 = -5*b + w - 60091, 2*b + 3*b + 60086 = -4*w. Let o be 6 - (2 + 1) - 93. Let l be (b/9 + 2)*o. Round l to the nearest 100000. 100000 Let f = -1640 - 13. Let w = -1652.94098 - f. Let b = -0.059 + w. Round b to four decimal places. 0 Let f = -605828376.9999342 - -605827714. Let w = -663 - f. What is w rounded to 5 dps? -0.00007 Let f = -26736500 - -26736499.59199518. Let s = 0.408 + f. Round s to 6 d
{ "pile_set_name": "DM Mathematics" }