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is the d'th term of 15995782, 15995781, 15995780, 15995779, 15995778, 15995777? -d + 15995783 What is the a'th term of 3452677, 6905352, 10358027, 13810702, 17263377? 3452675*a + 2 What is the h'th term of 1241693, 2482987, 3724285, 4965587, 6206893? 2*h**2 + 1241288*h + 403 What is the r'th term of -2302516, -9210057, -20722626, -36840223, -57562848? -2302514*r**2 + r - 3 What is the z'th term of 27834576, 27834578, 27834580? 2*z + 27834574 What is the z'th term of 11743827, 11743835, 11743843, 11743851, 11743859? 8*z + 11743819 What is the w'th term of -14571, -28533, -42495? -13962*w - 609 What is the w'th term of 1412, 9474, 31396, 74108, 144540, 249622? 1155*w**3 - 23*w + 280 What is the o'th term of 1218003, 1217986, 1217961, 1217928, 1217887, 1217838? -4*o**2 - 5*o + 1218012 What is the v'th term of -551600, -1103290, -1655070, -2206934, -2758876, -3310890? v**3 - 51*v**2 - 551544*v - 6 What is the k'th term of 3237, 1238, -4203, -14808, -32299, -58398, -94827? -287*k**3 + k**2 + 7*k + 3516 What is the p'th term of 21167, 42348, 63539, 84740, 105951? 5*p**2 + 21166*p - 4 What is the k'th term of 226, 357, 558, 829, 1170, 1581, 2062? 35*k**2 + 26*k + 165 What is the p'th term of -38803, -77633, -116493, -155383, -194303? -15*p**2 - 38785*p - 3 What is the i'th term of -315032, -630015, -944998, -1259981, -1574964, -1889947? -314983*i - 49 What is the i'th term of -30935, -64449, -97961, -131471, -164979, -198485, -231989? i**2 - 33517*i + 2581 What is the d'th term of 101816, 203946, 306076, 408206, 510336? 102130*d - 314 What is the f'th term of 55661874, 55661862, 55661850, 55661838, 55661826? -12*f + 55661886 What is the y'th term of -1013, -2102, -3169, -4202, -5189, -6118? 2*y**3 - y**2 - 1100*y + 86 What is the w'th term of 102839, 102366, 101893, 101420? -473*w + 103312 What is the o'th term of -235528421, -471056838, -706585255, -942113672, -1177642089? -235528417*o - 4 What is the k'th term of 2039, 4348, 7209, 10898, 15691, 21864? 46*k**3 + 1987*k + 6 What is the h'th term of -1639, -1891, -2133, -2365? 5*h**2 - 267*h - 1377 What is the y'th term of 586, 1411, 2160, 2797, 3286, 3591? -6*y**3 - 2*y**2 + 873*y - 279 What is the h'th term of -775, -1848, -2913, -3970, -5019, -6060, -7093? 4*h**2 - 1085*h + 306 What is the c'th term of -694, 5758, 12210, 18662, 25114, 31566? 6452*c - 7146 What is the y'th term of -57927, -116127, -174327, -232527? -58200*y + 273 What is the s'th term of 25785, 25802, 25847, 25932, 26069? 2*s**3 + 2*s**2 - 3*s + 25784 What is the k'th term of -1182134, -2364259, -3546384, -4728509, -5910634? -1182125*k - 9 What is the j'th term of 14268451, 28536898, 42805345? 14268447*j + 4 What is the q'th term of 16737115, 16737114, 16737113, 16737112, 16737111, 16737110? -q + 16737116 What is the q'th term of 135639888, 135639889, 135639890? q + 135639887 What is the r'th term of -4042, -15705, -35134, -62323, -97266, -139957, -190390? r**3 - 3889*r**2 - 3*r - 151 What is the p'th term of 1640588, 3281078, 4921568, 6562058, 8202548? 1640490*p + 98 What is the n'th term of -13294111, -13294099, -13294079, -13294051? 4*n**2 - 13294115 What is the x'th term of -2039, -5186, -10401, -17684? -1034*x**2 - 45*x - 960 What is the f'th term of 10420, 9804, 8772, 7318, 5436, 3120, 364? -f**3 - 202*f**2 - 3*f + 10626 What is the m'th term of 23819, 47651, 71497, 95363, 119255, 143179, 167141, 191147? m**3 + m**2 + 23822*m - 5 What is the i'th term of -4930, -5123, -5650, -6679, -8378, -10915, -14458? -28*i**3 + i**2 - 4903 What is the k'th term of 4145, 8888, 13631, 18374? 4743*k - 598 What is the z'th term of 14343, 15137, 15931, 16725? 794*z + 13549 What is the c'th term of 45688910, 45688909, 45688908? -c + 45688911 What is the b'th term of 38280, 76927, 115574, 154221, 192868, 231515? 38647*b - 367 What is the t'th term of 12644, 12420, 12046, 11522? -75*t**2 + t + 12718 What is the f'th term of 338, 3026, 7462, 13646, 21578? 874*f**2 + 66*f - 602 What is the t'th term of -28851, -230566, -778039, -1844148, -3601771, -6223786, -9883071? -28813*t**3 - t**2 - 21*t - 16 What is the g'th term of 8760, 17842, 26926, 36012, 45100, 54190, 63282? g**2 + 9079*g - 320 What is the l'th term of -2224, -4100, -7230, -11614, -17252, -24144? -627*l**2 + 5*l - 1602 What is the y'th term of -1965, -4950, -8969, -14538, -22173, -32390, -45705, -62634? -86*y**3 - y**2 - 2380*y + 502 What is the h'th term of -372, -931, -1858, -3147, -4792, -6787? h**3 - 190*h**2 + 4*h - 187 What is the z'th term of -66730570, -66730574, -66730578, -66730582, -66730586, -66730590? -4*z - 66730566 What is the c'th term of 904701, 904178, 903655, 903132? -523*c + 905224 What is the c'th term of -3066, -2698, -2000, -972? 165*c**2 - 127*c - 3104 What is the p'th term of -153072, -305680, -458288? -152608*p - 464 What is the w'th term of 68444, 136213, 203982, 271751, 339520? 67769*w + 675 What is the u'th term of 15474, 30012, 44546, 59076, 73602, 88124, 102642? -2*u**2 + 14544*u + 932 What is the u'th term of 65, 741, 2547, 6047, 11805, 20385, 32351, 48267? 94*u**3 + u**2 + 15*u - 45 What is the q'th term of 101840107, 101840112, 101840117, 101840122? 5*q + 101840102 What is the p'th term of -1427699357, -1427699356, -1427699355, -1427699354? p - 1427699358 What is the w'th term of -30548, -122652, -276180, -491132, -767508, -1105308? -30712*w**2 + 32*w + 132 What is the c'th term of -245755, -491468, -737185, -982906? -2*c**2 - 245707*c - 46 What is the v'th term of -189, -99, 263, 897? 136*v**2 - 318*v - 7 What is the h'th term of 30851, 28632, 22599, 10844, -8541? -318*h**3 + h**2 + 4*h + 31164 What is the t'th term of -3838725, -3838714, -3838701, -3838686, -3838669? t**2 + 8*t - 3838734 What is the o'th term of 34562, 60164, 102834, 162572, 239378, 333252? 8534*o**2 + 26028 What is the x'th term of 12084, 14584, 18724, 24504, 31924? 820*x**2 + 40*x + 11224 What is the u'th term of 10360, 10774, 11178, 11578, 11980, 12390? u**3 - 11*u**2 + 440*u + 9930 What is the u'th term of -23571, -35495, -47417, -59337? u**2 - 11927*u - 11645 What is the o'th term of -4493, -4516, -4539, -4550, -4537, -4488, -4391, -4234? 2*o**3 - 12*o**2 - o - 4482 What is the f'th term of -405, -2375, -5665, -10275, -16205, -23455? -660*f**2 + 10*f + 245 What is the i'th term of -122990, -246552, -370114? -123562*i + 572 What is the j'th term of 965655, 1931235, 2896815? 965580*j + 75 What is the n'th term of -4686, -4250, -3972, -3858, -3914, -4146, -4560? -n**3 - 73*n**2 + 662*n - 5274 What is the s'th term of 22627, 22693, 22757, 22819, 22879, 22937? -s**2 + 69*s + 22559 What is the n'th term of -6810, -13561, -20252, -26877, -33430, -39905, -46296, -52597? n**3 + 24*n**2 - 6830*n - 5 What is the c'th term of 229, -1162, -4177, -8816, -15079? -812*c**2 + 1045*c - 4 What is the t'th term of 852663, 851987, 851323, 850677, 850055? t**3 - 683*t + 853345 What is the j'th term of 459, 659, 271, -999, -3445, -7361? -49*j**3 + 543*j - 35 What is the l'th term of 32615, 67052, 101489, 135926, 170363, 204800? 34437*l - 1822 What is the z'th term of 99232, 99771, 100668, 101923, 103536? 179*z**2 + 2*z + 99051 What is the y'th term of 4096428, 4096439, 4096450? 11*y + 4096417 What is the g'th term of -4233221, -16932891, -38099007, -67731569? -4233223*g**2 - g + 3 What is the j'th term of -69479081, -69479078, -69479075? 3*j - 69479084 What is the m'th term of 746, 1612, 2688, 4058, 5806? 14*m**3 + 21*m**2 + 705*m + 6 What is the q'th term of 163, 256, 405, 610, 871, 1188, 1561? 28*q**2 + 9*q + 126 What is the n'th term of -542, -1227, -2220, -3521, -5130, -7047? -154*n**2 - 223*n - 165 What is the h'th term of 623012, 1246011, 1869010, 2492009, 3115008, 3738007? 622999*h + 13 What is the w'th term of -12432633, -24865271, -37297913, -49730559, -62163209, -74595863? -2*w**2 - 12432632*w + 1 What is the u'th term of -16819043, -33638060, -50457077? -16819017*u - 26 What is the q'th term of 352561, 352477, 352335, 352129, 351853? -q**3 - 23*q**2 - 8*q + 352593 What is the i'th term of -45852049, -45852050, -45852051, -45852052, -45852053? -i - 45852048 What is the u'th term of 7828, 15291, 22394, 29149, 35568, 41663, 47446? 2*u**3 - 192*u**2 + 8025*u - 7 What is the o'th term of 2040
{ "pile_set_name": "DM Mathematics" }
ctor of 50 and r. 10 Suppose -68 = -3*k + 4. What is the greatest common divisor of 8 and k? 8 Let g(d) = -d - 20. Let j be g(-9). Let f(u) = u**2 + 9*u - 14. Let h be f(j). Calculate the highest common factor of 8 and h. 8 Suppose 0*o + o - 15 = 0. Calculate the highest common factor of o and 60. 15 Suppose 5*q = 4*q + 2*p - 186, -q - 170 = 2*p. Let r = 332 + q. Calculate the greatest common divisor of r and 14. 14 Let t = 0 + 18. Calculate the highest common factor of t and 2. 2 Let k be (5/10 - -1)*10/3. Suppose -10 + 30 = 5*b. Suppose -3*w - 2*s = -70, -b*s - 125 = -k*w + s. Calculate the greatest common divisor of 216 and w. 24 Let b = 66 - 41. Suppose -5 = 3*l - 5*r, 0 = -5*l - r + 4*r + 13. Suppose 2*z + 10 = 0, -3*y + 0*z + l = 2*z. Calculate the highest common factor of b and y. 5 Let h be -2*6 - (-5 + 4). Let l = h + 14. What is the highest common divisor of l and 21? 3 Suppose -4*b = 4*m - 192, -36 = -3*m + 2*m + 5*b. Calculate the greatest common divisor of 69 and m. 23 Let u be (3/(-3))/1*-1. Let d be (-33)/(-12) + (-2)/(-8). What is the highest common divisor of d and u? 1 Let d = 37 - 15. What is the greatest common factor of 11 and d? 11 Suppose -5*w = 6*q - q - 65, -w + 10 = -2*q. Suppose u + w = 27. What is the highest common divisor of 10 and u? 5 Suppose -5*k = 5*p - 80, 2*p + 3*p = -4*k + 79. Let m be 4/(-6) - (-454)/6. Calculate the greatest common divisor of p and m. 15 Let o be 178 + 4/6*3. Calculate the highest common factor of o and 20. 20 Let m be 153/(-5) - 4/10. Let r = 67 + m. Let c be (-2)/(-9) + 388/r. What is the greatest common factor of 121 and c? 11 Let z(c) = -5 + 4 + 1 + 15*c. Let w be z(3). Calculate the highest common factor of w and 9. 9 Let k = 511 - 7. Suppose -k = -6*u + 2*u. Let i be (-4)/14 + (-128)/(-7). Calculate the highest common divisor of i and u. 18 Let c be 19/7 + (-6)/(-21). Suppose 2*s + 2*s - 4*f - 40 = 0, 0 = -4*s + c*f + 41. What is the highest common factor of 1 and s? 1 Let c be (-2)/14 - (-45)/21. Suppose -c*o = -1 - 13. Calculate the greatest common divisor of o and 28. 7 Let r = -6 - -11. Suppose 2*f - 6*f - 47 = 5*t, -5*t - 55 = r*f. Let v be ((-4)/f)/((-2)/(-136)). Calculate the greatest common factor of v and 17. 17 Suppose 0 = 5*j - 9*j + 260. Calculate the greatest common factor of 26 and j. 13 Suppose 0 = -6*w - 0*w + 6. Let x be 0 - 2 - w*-3. Suppose k + 1 = -2*h - 4, 5*h = 5*k - 20. What is the greatest common factor of x and k? 1 Let m be (0 - -6)*20/24. Calculate the greatest common divisor of 5 and m. 5 Let c be -1*7*(1 - 2). Let o be ((-3)/(-6) + -1)*0. Let h(t) = -t + 1. Let j be h(o). What is the highest common divisor of j and c? 1 Let g = 158 + -48. Let n = 421 - 411. What is the highest common divisor of n and g? 10 Suppose -4 = i + 2*v, -6*v + 7 = -5*i - 3*v. Let g be (i - 0/1) + 16. Calculate the greatest common factor of g and 42. 14 Suppose 13*i = 12*i + 10. What is the greatest common factor of 5 and i? 5 Suppose f = 4*i - 251, 5*f - 207 = -3*i + 2*f. What is the highest common divisor of i and 16? 16 Let v be (-6)/(-15) + (-98)/(-5). Let c be 192/v + 6/15. Calculate the highest common factor of c and 40. 10 Suppose -2*p + 14 - 4 = -2*k, 19 = -5*k - p. Let d(a) = a**3 + 3*a**2 - 4*a + 5. Let m be d(k). What is the greatest common divisor of 5 and m? 5 Suppose -3*t - 1755 = -18*t. Calculate the highest common factor of 9 and t. 9 Suppose -4*d + 3*v + 924 = 0, -2*d + 6*d - 4*v = 920. What is the highest common factor of d and 26? 26 Let j be ((-16)/10)/(6/(-15)). What is the greatest common factor of j and 2? 2 Let m = 5 + 35. What is the highest common factor of m and 16? 8 Let b = 4 + -8. Let h(f) = -f**3 - 2*f**2 + 5*f + 1. Let u be h(b). Suppose -4*t = 2*n - 186 + 40, 4*t - 16 = 0. What is the greatest common divisor of n and u? 13 Let r(d) = 8*d**3 - 3*d**2 - 3*d + 2. Let y be r(3). What is the highest common divisor of y and 26? 26 Let i(u) = 8*u. Let q be i(2). Let b = -112 - -114. What is the highest common divisor of q and b? 2 Let s(l) = l**2 + 15*l + 3. Let h be s(10). Calculate the greatest common factor of 23 and h. 23 Suppose 3*x + 175 = 4*s, 2*x + 60 + 26 = 2*s. What is the greatest common divisor of s and 46? 46 Let c = 7 + -2. Suppose 3*w = -4*l + 12, -w - w = 4*l - 16. Suppose l*o - o = 75. What is the greatest common factor of c and o? 5 Let p = -2 + 20. Let u = -7 - -43. Suppose -2*k + u = 2*k. Calculate the greatest common divisor of k and p. 9 Let x = 164 + -92. What is the highest common divisor of 12 and x? 12 Suppose -150 = -4*x - 2*y, 0 = 3*x + 2*y + 2*y - 120. What is the greatest common factor of 54 and x? 18 Let l be 2/(-5) + 524/10. Suppose 2*x - x + 1 = 0. Let w be ((-3)/(-3))/x*-13. What is the greatest common divisor of l and w? 13 Suppose 24 = -2*q + 4*q. Calculate the highest common divisor of q and 20. 4 Suppose -2*l + 105 = 5*l. Suppose 5*z + 9 = y, -5*z + 10 = 4*y - 1. Let j be 0 + (2 + 162 - z). What is the highest common divisor of j and l? 15 Let i be 285/(-30)*(-2)/1. Calculate the greatest common factor of 19 and i. 19 Suppose 64 = 3*q + 13. Suppose 5*m - q = 8. Calculate the greatest common factor of 55 and m. 5 Suppose -104*w - 48 = -107*w. What is the greatest common factor of 12 and w? 4 Let x be (-3)/(-9)*3*103. Let q = 151 - x. Suppose 2*m + 66 = 2*l, -25 = -4*l - 4*m + 99. What is the highest common divisor of q and l? 16 Let a be ((-7)/(-21))/((-2)/(-42)). Suppose 5*v - 3*m = 257, 2*v - 4*m = -7*m + 86. What is the highest common factor of a and v? 7 Suppose 0 = 5*s + 3*f - 59, 0 = -2*f + 5 + 1. Calculate the greatest common divisor of 80 and s. 10 Suppose -28 = -7*o + 63. What is the highest common factor of 13 and o? 13 Let g = 68 + 108. Calculate the highest common divisor of 16 and g. 16 Suppose -5*t + 14*o + 135 = 17*o, 0 = 3*t - 3*o - 105. Let m be (-9)/(-2)*(22 - 2). What is the greatest common divisor of m and t? 30 Suppose -z = -2*z + 10. What is the highest common factor of z and 25? 5 Let o(s) = -17*s + 5. Let n be o(-3). Calculate the greatest common divisor of 140 and n. 28 Let d(j) = 5*j. Let c be d(3). Suppose 0 = -6*x + 2*x + 672. Let g = x + -108. What is the greatest common divisor of g and c? 15 Suppose 0 = -2*y - 5*w - 1, 3*y = -y + 5*w + 13. Suppose -2*m = y*m - 300. Suppose 81 + 9 = 3*n. What is the greatest common factor of m and n? 15 Let t = -3 - -10. Let k(m) = -m**2 + 7*m + 8. Let j be k(t). Let c be 4/(-14) + 394/7. Calculate the greatest common divisor of c and j. 8 Suppose i - 10 = -3*r, -r - i + 0*i + 4 = 0. Suppose r*b = -b. Suppose -3*s = 9, b = -6*u + u - 3*s + 26. Calculate the greatest common factor of u and 7. 7 Let c be 4/(-16) - (-1)/((-4)/(-109)). What is the highest common factor of 9 and c? 9 Suppose -3*r + 31 = 4*c, 2*c - 5*r + 4*r = 3. Let v be 10 + (-2 - 2)/c. What is the greatest common factor of 9 and v? 9 Suppose 3*n - 16 = 5. What is the greatest common divisor of 7 and n? 7 Let z = -51 - -245. Let o = z - 12. What is the highest common factor of 26 and o? 26 Let a = -2 - -2. Suppose -3*s + 8*s + 3*d - 80 = 0, -2*d - 10 = a. Let o = -32 + 51. Calculate the greatest common divisor of o and s. 19 Let h be -33*(0 + 1)/(-3). Let a = 19 - 16. Suppose 3*k + 0*k - a = 0. Calculate the highest common factor of h and k. 1 Let s(i) = -i**2 - 10*i + 8. Let l be s(-8). Calculate the greatest common divisor of l and 60. 12 Let s = 10 - 7. Suppose 0*o - s*m = 5*o - 29, 5*o - 8 = 4*m. Let x be (-13 + 1)*10/(-3). Calculate the highest common factor of o and x. 4 Let m = -48 - -123. Let l be 20/((-30)/9 + 4). What is the greatest common factor of l and m? 15 Suppose 0 = -4*a - a + 60. Suppose -4*i + 0*q = -4*q - 432, -4*q = i - 108. What is the highest common divisor of a and i? 12 Suppose 2*t + t - 9 = 0. Let k = 7 - t. What is the highest common divisor of 6 and k? 2 Let g(y) = -y + 5. Let c be g(-5). Suppose -2*t = 2*t - 16. Suppose -31 - 69 = -t*f. What is the greatest common divisor of f and c? 5 Let v be 2*26/4 + -1. Suppose -51 = -c - t - 0*t, 2*c - 111 = -5*t. What is the greatest common factor of v and c? 12 Let k(o) = -o**2 - 6*o + 3. Let m be k(-5). Suppose 4*i - m*i + 32 = 0. What is the highest common divisor of i and 4? 4 Let r be 6 - (-3 + 1) - 3. Let c be -3*
{ "pile_set_name": "DM Mathematics" }
4133 - -4129. Let a be (-3)/(3 + (-9)/6). Sort j, g, a in increasing order. g, a, j Let w(p) = -p**2 - 6*p - 6. Let d be w(-4). Suppose -d*n - 89 = k + 5, -n = -4*k + 47. Put 3, n, -5 in descending order. 3, -5, n Suppose 22*y - 1924 = -15*y. Let b(s) = -12*s + 3. Let k be b(5). Let p = k + y. Sort 4, p, 1. p, 1, 4 Let a(z) = -2*z + 3. Suppose 2 = -2*q - 2*r, -2*r - 3*r - 15 = 0. Let y be a(q). Suppose 32*f - 131*f = -792. Put f, y, 5 in increasing order. y, 5, f Let o = -5.7 + 3.7. Let j = 108 + -114.3. Let m = j + 32.3. Put 3/5, 3, m, o in descending order. m, 3, 3/5, o Let z = -0.3 - 0.2. Let s = -45319 + 45318.6. Sort s, 104, z in descending order. 104, s, z Let a = 4635/4 - 13901/12. Put 0.2, a, 0.07, -21, -1/5 in increasing order. -21, -1/5, 0.07, 0.2, a Let i = -1/463 - -465/926. Let c = -294 - -1463/5. Let j = -1 - c. Sort -5, -4, j, i in increasing order. -5, -4, j, i Suppose 4623 = -w + 4633. Suppose 0 = 4*h + z + 6, 11 = -4*h - h - 3*z. Let m be 6/((h - -2) + 1). Sort -2, m, w in descending order. w, m, -2 Suppose -3704*z = -3708*z - 16. Suppose -2*c + 2 = -c. Suppose 0*g - 15 = -5*g. Put -2, c, g, z in decreasing order. g, c, -2, z Let f be (0 - 2/32) + (-2585)/(-5264). Sort 1916, -3, f in descending order. 1916, f, -3 Let d = -6/137 + -381/685. Let p = -75.164 - -0.164. Let m = p - -73. Put d, m, 0.4 in decreasing order. 0.4, d, m Let s = -194 + 193. Suppose -2*c = 5 + 9. Let j be (s - c)/((-45)/(-30)). Sort 19, j, -3 in increasing order. -3, j, 19 Let j be (-525)/10*(-4)/5. Let o be -2*(-51)/j + -2. Let y be 130/26 + -9 + 2. Put -0.4, 2, o, y in ascending order. y, -0.4, o, 2 Let m = -51.41 - -51. Let c = m - -1.41. Sort 25, 4/3, c. c, 4/3, 25 Suppose 0 = 5*l + 78 - 198. Suppose 84 = l*s - 12. Let m(g) = -g**3 + 3*g**2 + g - 4. Let k be m(3). Put k, s, 5 in descending order. 5, s, k Let x = 1.27736 - 0.27736. Sort 0.1, x, -133, -0.09. -133, -0.09, 0.1, x Let s(b) = 10*b**2 - 9*b + 6. Let n be s(-2). Suppose n = -3*h + 61. Suppose 15 = -k - 4*k. Put k, h, -5 in increasing order. -5, k, h Let s = -8.5 + 8. Let b = -1.588 - 0.212. Suppose 0 = 2*q - 6*q - 12. Sort s, b, q, -3/5. q, b, -3/5, s Suppose 2*h = -2*h - 32. Let x be (h + 6)*(-6)/(-4). Let q(j) = -j**2 + 21*j + 15. Let k be q(21). Put 2, x, k in ascending order. x, 2, k Suppose 4 = 5*i + j, -3*j - 81 = -2*i - 59. Sort i, -1, 5, -68 in decreasing order. 5, i, -1, -68 Let f = -0.586 - 55.114. Let x = -59 - f. Let i = x + -1.7. Put 3/5, 3, 1, i in increasing order. i, 3/5, 1, 3 Suppose 4*p = -4*n - 28, 0 = -2*p + 5*n + 3 + 11. Put 170, -9, p in ascending order. -9, p, 170 Suppose 2*n + 26 = 30. Let j(q) = 18*q - 33. Let w be j(n). Sort w, -2/11, 0.2, -10 in decreasing order. w, 0.2, -2/11, -10 Let d(o) = -o**3 - 6*o**2 + 198*o + 824. Let b be d(-4). Put b, 5, 46, -5 in ascending order. -5, b, 5, 46 Let x = 5441 + -5445. Put x, 62, 1 in increasing order. x, 1, 62 Suppose -3*k - 10*v + 14 = -5*v, 18 = -k + 4*v. Let c be 1/(5/k) + 6/15. Put -2/7, c, 12 in ascending order. -2/7, c, 12 Suppose -9*u - 28491 = -28239. Let p = -10 + 7. Put -4, u, p in increasing order. u, -4, p Let b = 1058 + -1059. Let w = 81/5 + -16. Sort 6, w, b, -7 in descending order. 6, w, b, -7 Let k = 39481 - 39344. Sort k, 4, 13, 5 in ascending order. 4, 5, 13, k Let t = -7 - -10. Let o = t + -2.6. Suppose 33 = -2*i + 27. Sort o, 1/18, i. i, 1/18, o Let z = 20/293 - 3166/37797. Let g = z + -28/43. Sort 0.3, g, -1, -10/9. -10/9, -1, g, 0.3 Suppose 4*r + 3 = -h, -r - 3*r + 2 = 2*h. Let b(c) = c**3 + 2*c**2 - c + 31. Let d be b(-4). Suppose -f + 0*f - 16 = -d*x, 2*f = 3*x - 20. Sort f, -12, h. -12, f, h Let c = 0.05 - 0.1. Let h = 3.95 - c. Let x = h + 5. Sort -0.3, -2, x. -2, -0.3, x Suppose -339*p + 336*p = -78. Sort p, -4, 0, 2 in increasing order. -4, 0, 2, p Let r = -0.43234 - -0.13234. Let n = 4/3 + -3/2. Sort n, -3, 1, r in ascending order. -3, r, n, 1 Let b = -29974 - -29990. Put -1, -2, b, 59 in descending order. 59, b, -1, -2 Let z be (-6 - (-635)/105)*6. Let f = 15 + -36. Let x = f + 10. Sort -5, -1/4, x, z in ascending order. x, -5, -1/4, z Suppose 0 = 441*s - 414*s - 108. Put -12, 5, s, 17 in decreasing order. 17, 5, s, -12 Suppose -35 = 3*g - 4*n, 4*g - 29 = -5*n + 7. Sort g, 139, -5 in decreasing order. 139, g, -5 Let w(d) = 3*d**2 + 54*d + 9. Let i be w(-18). Let a = 9 + -10. Sort 8, i, a in decreasing order. i, 8, a Let g = -1 + -22. Suppose -17 = -2*l - 7. Let q be (1/1)/(5/((-25)/l)). Put 0, g, q in increasing order. g, q, 0 Suppose 85 + 45 = 56*h + 18. Sort 3, 6, -5, h. -5, h, 3, 6 Let k(m) = -323*m - 7432. Let w be k(-23). Sort -1, 5, w, -6 in descending order. 5, -1, w, -6 Let r be (4 + 0)/((-188)/7755*-33). Sort -44, r, -4, -6. -44, -6, -4, r Let n = 1.41 - 129.41. Let l = 130 + n. Suppose f + y = -5, -5*y + 6 = -4*f + 4. Put -7, l, 4, f in increasing order. -7, f, l, 4 Suppose -17*j = -20*j + 18. Let p(r) = 25*r - 152. Let m be p(j). Sort 7, 4, m, 1 in decreasing order. 7, 4, 1, m Suppose -3*l + 11 = 5*m, 3*m - 11 = m + l. Let x = -6 - 2. Let i = 6 + x. Put i, m, -10 in ascending order. -10, i, m Let o be (2 + 0)*(0 - -5). Let f be (-8)/(-28) + (-57)/(-21). Suppose f*d - 5*d + o = 0. Put d, -5, -2 in increasing order. -5, -2, d Let k be (8/(-12))/((-8)/(-6)). Let r = -4.99 + 5.5. Let w = r + -0.81. Sort w, 2, k. k, w, 2 Let k be (8/4 + 193)*2. Let j = -1952/5 + k. Sort 22, 4/5, j in decreasing order. 22, 4/5, j Let k = -2 - 2. Suppose 3*z = -5*n + 10 + 7, 2*n + 2*z - 6 = 0. Sort k, n, 5, -2. k, -2, n, 5 Let l = 22 - -146. Let u = l - 169.3. Sort u, -0.2, -14 in descending order. -0.2, u, -14 Let k(n) be the first derivative of -n**4/4 - 2*n**3 - 8*n**2 - 16*n - 52. Let d be k(-3). Sort 25, 3, d in increasing order. 3, d, 25 Let x = -1 + 1. Suppose h + x - 1 = 0. Suppose -192*z - d = -197*z + 7, d - 11 = -z. Sort z, h, 0 in decreasing order. z, h, 0 Let y = 41 + -45. Let o be y/(-14) - 2/7. Let c be 2170/465 + 1*2/(-3). Sort -30, -1, c, o in decreasing order. c, o, -1, -30 Let q = 0.03542 + 1.96458. Sort 0, -5, -3, -28, q in descending order. q, 0, -3, -5, -28 Let t = 8.64 + 0.16. Put 2, 5, t, 1 in descending order. t, 5, 2, 1 Let y = -134 - -131. Let z = 8247/4 + -2061. Sort z, 23, y in descending order. 23, z, y Suppose -3*z + 5*u - 49 = 0, 119 = -5*z - 9*u + 8*u. Let w(v) = -v**3 - 22*v**2 + 25*v + 47. Let g be w(z). Sort -3, g, 5. -3, g, 5 Let p be ((-105)/70)/((-12)/24). Sort p, -5, 5, 4, 1981 in increasing order. -5, p, 4, 5, 1981 Let n(m) = m**2 + 111*m + 1965. Let k be n(-88). Let r be (-1)/(-2) - (-2)/(-4). Put r, k, -2 in increasing order. k, -2, r Suppose v + 4 - 5 = 0. Let t be (4 - (-52)/(-10))*815/326. Put t, 9, 4, v in descending order. 9, 4, v, t Let v = 0 - 3. Suppose -l - 24 = 2*a, -12 = 2816*l - 2812*l + 2*a. Put 14, l, v in decreasing order. 14, l, v Let t = -483.16 + 483.6. Let r = -1.75 + -0.81. Let s = r - t. Sort 2/3, 4, s, 5. s, 2/3, 4, 5 Let a be 4/(4 + -3) - (-2261)/(-119). Put 14, a, 0 in increasing order. a, 0, 14 Suppose -4*s - s - 5 = 0. Let c = -3 - -4. Let x(v) = -v**3 + 12*v**2 - 27*v + 5. Let w be x(9). Sort s, c, w in decreasing order. w, c, s Suppose -4*v - 4*q + 16 = 0, -v + 12*q - 14*q = -9. Let h = 423 - 420. Sort v, 0, 40, h in decreasing order. 40, h, 0, v Let t = -12 - -17. Let g(c) = 2*c**2 - 69*c - 785. Let i be g(-9). Put -131, t, i in ascending order. -131, i, t Let a = 15.2 + -8.5. Let r = a - 4.7. Let x = -13 + 13.3. Sort x, r, 7. x, r, 7 Let v(i) = -i**2 - 10*i + 14. Let d be v(-11). Let b be (-8 + 3)*(3 + -2). Sort b, d, 4, -3. b, -3, d, 4 Let b = 6790.3 + -6790. Let i = 1 + -3. Suppose q = -q + 12. Sort i, b, q. i, b, q Let m = 2471/4 - 7421/12. Sort m, -17/5, 0.2, -2, 6 in decreasing order. 6, 0.2, m, -2, -17/5 Let n(t) = -t**3 + t**2 + 5. Let m be n(0). Let b(z) = -z**3 - 7*z**2 + 8*z - 3. Let h be b(-8). Let g be 0 + 10 + 96/(-8). Put g, m, h in decreasing order. m, g, h Let w(x) = 30 - 72*x**2 + 71*x**2 + 14. Let u be w(7). Sort 0, u, 4. u, 0, 4 Let y be 30/12*(-3 + -3). Let m be y/(-3) + (-4)/20*41. Let g = -1.3 + 1.3. Sort g, m, -5, -1/2 in increasing order. -5, m, -1/2, g Let m = 178.4273 + 0.0727. Let p = 179 - m. Sort 0, 1/12, p in increasing order. 0, 1/12, p Suppose -3*x = -0*x + 3*z - 6, 3*x - 6 = -4*z. Suppose -4*l + 3*o
{ "pile_set_name": "DM Mathematics" }
-412. Let n = c - w. Is n a prime number? False Let u(o) = 1619*o + 23. Is u(2) a composite number? True Let d(x) = x**3 - x**2 + x + 187. Let y(l) = -l**3 - 2*l**2 - 2*l - 1. Let w be y(-2). Suppose -v - w = -2, -z - 5 = 5*v. Is d(z) prime? False Suppose 4*s - 9 - 15 = 0. Suppose -k - s = 21. Is ((-52)/3)/(18/k) composite? True Is (16274/(-515))/((-2)/745) composite? True Let a be (-477)/6*(219/(-9) + -1). Suppose -s + a = -o, -2*s - 4056 = -4*s - 5*o. Is s composite? True Suppose 1328 = 21*g - 5*g. Is g composite? False Suppose -2*m - 23735 = -3*i + 3*m, -2*m = -3*i + 23741. Is i composite? True Let i(f) = -47*f - 3. Let u = 1 - -5. Suppose -14 = 2*w - u. Is i(w) composite? True Suppose 2007 + 953 = -4*u. Let q = u - -1443. Is q a prime number? False Let d be 4/3 - (-808)/(-3). Let t = 383 + d. Is t a composite number? True Let n(x) = 2*x**3 - 12*x**2 - x + 14. Is n(9) prime? True Let k be 2/6 + (215792/12)/4. Suppose k = 3*m + 413. Is m a prime number? True Suppose 20*a = 16*a + 8. Suppose 2*o = -a*o - 8. Is o/(-10) + 4216/20 a prime number? True Let h(s) = 2*s - 10. Let t be h(6). Let j(o) = -t - 10*o - 85*o - 6. Is j(-5) composite? False Let r(f) = -2*f**3 - 10*f**2 + 2*f - 1. Let t(y) = y**2 + 1. Let k(q) = r(q) + 2*t(q). Let d = -13 - -7. Is k(d) prime? False Let m = -126 + 177. Let n be 4/(m/(-12) - -4). Is (-844)/n*12/3 a prime number? True Let g(k) = -k**3 - 4. Let j be g(-2). Suppose 0 = j*n + 3*w + w - 6036, 3*n + 2*w = 4531. Is n a prime number? False Suppose 2 = 3*u + 2*a - 4, 0 = 4*u + 4*a - 8. Suppose 0 = -3*f - 0*f + 9, 3502 = 4*x - u*f. Is x composite? False Let i(j) = -6*j**3 - 2*j**2 - j. Let d be i(-1). Suppose 473 = 6*r + d*r. Is r composite? False Let a(m) = 881*m - 6. Is a(19) a prime number? False Let y(l) = l**2 - 4*l - 2. Let d be y(-8). Let f = 188 - d. Suppose -4*z - 2 = 6, 4*k - 5*z = f. Is k composite? True Is (-52146 - 1)*(-4 + 3) a composite number? False Suppose 0 = -5*l - m + 1203, 12*l + 3*m = 11*l + 235. Let s = l - -2186. Is s composite? True Suppose 3*w + 7*h - 2*h = 22, 5*w = h + 46. Suppose 2*z + 3*n - 15 = 2, -2*n = -2*z + 12. Suppose -z*a = -w*a + 422. Is a a prime number? True Suppose -4*w = 4*d + 12, 0 = 3*w + d + 1 + 2. Suppose 3*j + 0*j - 33 = w. Suppose -j = -y + 11. Is y a composite number? True Suppose -4*l - 2*p + 41470 = 0, 0*p = 5*l - 5*p - 51860. Is l a prime number? True Let w(g) = -g**3 + 22*g**2 - 2*g + 12. Let h(j) = j**3 - 4*j**2 - 19*j + 3. Let s be h(7). Is w(s) a prime number? True Suppose 7*i + 1570 = 17*i. Is i prime? True Let x(i) = -91*i**3 - 2*i**2 + 2. Let g be x(-1). Suppose 0 = -g*o + 89*o + 1538. Is o composite? False Let b(a) = -544*a**2 - 7*a + 6. Let v be b(4). Is v/(-30) + 6/45 composite? True Let m(o) = 10577*o**3 - 5*o**2 + 2*o + 3. Is m(1) a prime number? False Suppose 5*m + 6*s - 4*s = 35, 0 = 3*m - 5*s + 10. Let l(v) = 4*v**3 - 6*v**2 - 3*v. Is l(m) prime? False Suppose -9774 + 3933 = -9*p. Is p a prime number? False Suppose 7*z - z = 24. Let y be (z/(-20))/((-3)/15). Is (17*6)/(1 + y) composite? True Suppose 0*s - 19 = -3*f - 2*s, 2*s + 30 = 4*f. Let i(v) = -v**3 + 18*v**2 - 9*v + 5. Is i(f) composite? True Let c(i) = 285659*i**2 + 3*i + 3. Is c(-1) a composite number? True Let a(j) = 410*j**2 + 33*j + 62. Is a(-7) a composite number? True Is (-12880)/(-42) + ((-3)/(-3))/3 prime? True Suppose -4*a - 20 = -3*a. Let v = a + 23. Suppose v*f - 995 = 118. Is f prime? False Suppose -141097 = -2*v - 3*q - 17222, -3*v + 185816 = q. Is v prime? False Let y = -21110 + 39145. Is y a composite number? True Let j(k) = k**3 - 16*k**2 - 4*k - 34. Let x be j(16). Let v(h) = -309*h**3 - h**2 + 1. Let t be v(1). Let d = x - t. Is d a prime number? True Let n = -159 - -442. Let x = n + 22. Is x prime? False Let r be ((-1)/2)/((-5)/220). Suppose d + r = -d. Let q(k) = k**2 + 9*k + 13. Is q(d) prime? False Let c(i) = i**2 - 11*i + 5. Let x be c(11). Suppose 0 = -x*w + 7*w - 8. Suppose -5*j - 2*t = -2247, -3*j - 471 = -w*j + 5*t. Is j a prime number? False Let c be (-79)/3*(4 - 22). Suppose 4*p + 944 = -h, 4*p = 3*h - h - 932. Let l = p + c. Is l composite? False Suppose 5526 = 34*q - 25*q. Is q a composite number? True Let b(x) = 26*x**2 + 5*x + 59. Let k(c) = 13*c**2 + 3*c + 29. Let n(m) = 4*b(m) - 7*k(m). Is n(-10) a composite number? True Let u = -52721 - -100942. Is u prime? True Suppose n = 18*n + 136. Suppose 0 = 2*g - 27 - 9. Let z = g + n. Is z a composite number? True Suppose 101474 = 29*z - 131280. Is z a prime number? False Is (-19622)/3*(-54)/36 a composite number? False Suppose 0*z - z = 4*d + 293, -586 = 2*z + 3*d. Let j be -4 - z - (0 + 0). Let a = j - 140. Is a composite? False Let f be (-1)/(21/(-56) - (-2)/8). Let n = f - -3. Is n a composite number? False Suppose 0 = -t - 2*d + 2, t = -0*t + d - 10. Let y be 5 + t*1/(-2). Suppose -y = 2*q, 0 = a + 4*q - 58 - 39. Is a a prime number? True Suppose -3*r + 4*x = -49, x = -4*r - x + 102. Let b = 157 - r. Is b prime? False Let u(p) = 162*p**2 + p. Let i be u(-1). Suppose -6*n - 5*n - 924 = 0. Let z = i + n. Is z composite? True Is ((-6)/81)/1 - 2047206/(-162) composite? False Let g be (-21)/7 + 1 + 1 + -981. Let z = g - -1579. Is z composite? True Suppose l = 4*q - 9, -3*q = -1 - 8. Let r be 1 - 4/2 - 3. Let t = l - r. Is t a prime number? True Let l(g) be the second derivative of 407*g**3/6 - 31*g**2/2 - 14*g. Is l(10) a prime number? False Let z(d) = d**2 + 8*d + 1. Suppose 3 = -4*t - 5*c, 3*c - 17 = 3*t + 19. Let w be z(t). Let u(i) = 4*i**2 - 7*i + 1. Is u(w) prime? False Suppose -57*x - 12*x = -18147. Is x a composite number? False Let g be 237*40/(-48)*(-22)/5. Let h = g - 358. Is h a prime number? False Suppose p + 4*g - 189 = -61, -4*g - 336 = -3*p. Suppose -3*r - 41 = 3*n - 371, -r + n = -p. Is r a prime number? True Is ((-2)/(-8))/((-5)/(-818260)) prime? False Let l(y) = 14*y**2 - 3 - y**3 - 9 + 0 + 16*y - 1. Is l(14) prime? True Let r = 65 + -51. Let s(k) = 12*k**2 - 20*k - 19. Is s(r) prime? True Is (10/(-4))/(75/(-150)) + 277632 a prime number? True Suppose 0 = -3*p - 2*p. Suppose h = -0*h + 4. Suppose h*l - 8*l + 596 = p. Is l a prime number? True Suppose -3206 = -q + 3*k, -2*q + q = -4*k - 3207. Is q a composite number? False Let d = 12474 - 6015. Suppose 7*q - 10*q = -d. Is q prime? True Let p be 0/(2/1 + 0). Suppose 3*r - 32 - 43 = p. Let q = 72 + r. Is q prime? True Suppose 0 = -3*v - 5*o + 10, -v + 0*v + 7 = -2*o. Suppose -4*a + 4*l = 804, -v*a - 3*l = -2*l + 975. Let z = -69 - a. Is z a composite number? False Let j(x) = -2*x**3 - 7*x**2 + 4*x + 6. Let k be j(-4). Is (k/(-9))/((-1)/(-6)) - -1271 prime? False Let j be ((-2)/4)/(2/(-16)). Suppose j*x + 12 = -7*f + 3*f, 20 = -4*f. Suppose n - 159 = -x*n. Is n composite? False Suppose -186 = -u + 2*u + a, 3*u - 4*a + 565 = 0. Let s = u - -366. Is s a composite number? False Let o(a) = 335*a + 5. Let l be o(1). Let y = l - -411. Is y composite? False Suppose -40*x = -34*x - 32766. Is x composite? True Suppose 0*h - 4*h + 8 = 0. Suppose -2*p + 8 = h*u, 0*u - 5*u = p - 8. Suppose 3*d + u = -14, 3*b + 3*d - 432 = 0. Is b composite? False Is 4/(-34) + 1545255/51 + -1 prime? False Let j(d) = 0*d - 2*d + 97 + d - 2*d. Is j(0) prime? True Let z = 6845 - 3426. Is z prime? False Let x be 2/(2/1523) + 1. Is -2 + x/3 + 3 composite? False Let n = -17914 - -41268. Is n prime? False Let r = 20 + -13. Let i be 3/5*(r - 2). Suppose -4*x + f = -1631, -i*f = -2*x - 256 + 1059. Is x prime? True Let h(g) = -g**2 - 6*g + 11. Let a be h(-7). Let v be 0 - -25 - (-7 + a). Is 7036/v - (-4)/(-14) composite? False Is (56215/15 - -1)/((-6)/(-9)) composite? False Let j(o) be the second derivative of -o**5/20 - 13*o**4/12 + 13*o**3/3 - o**2 + o. Is j(-15) a prime number? False Let u(w) = -2 + 8 - 3 + 2*w. Let h be u(-2). Let v(r) = 148*r**2 - 2*r - 1. Is v(h) prime? True Is 14/(-21) + (-3641)/(-3) composite? False Let w be (-1931)/(-4) + (-12)/(-48). Let l = 590 + w. Is l prime? False Let d = 4572 + -1573. Is d prime? True Let u(y) = -104*y**3 - 6*y**2 - y + 8. Let t(l) = 311*l**3 + 17*l**2 + 3*l - 23. Let w(x) = 6*t(x) + 17*u(x). Is w(3) a prime number? True Suppose -6*w = -11*w + 20910. Suppose 4*g - 5597 = -3*a, 0*a + w = 3*g - 3*a. Is g composite? True Let i(c) = -1028*c + 6.
{ "pile_set_name": "DM Mathematics" }
e (0 - 2) + (8 - 2). Let m = j - 4. Suppose m = -3*g - 12, 57 = 3*b - g + 20. What are the prime factors of b? 11 Let r(t) = -t**3 - 19*t**2 + 18*t + 13. List the prime factors of r(-20). 53 Suppose r - 28 = -2*a - r, -3*a + 54 = -r. List the prime factors of a. 17 Suppose 15 = -5*i - 5*w, 5*i + w + 8 + 19 = 0. Suppose -3*m + t - 1 = 0, 3 = 3*t - 0. Let c = m - i. What are the prime factors of c? 2, 3 Let o(a) = -a**3 - 10*a**2 + 11*a + 2. Let y be o(-11). Suppose 0 = y*p + 2 + 8. List the prime factors of -10*(-3 + (-13)/p). 2 Let c(s) = s**3 + 4*s**2 + 2*s + 2. Let h be c(-3). Suppose -6*v + 14 = x - 3*v, -2*x + 17 = -h*v. What are the prime factors of x? 11 Suppose 8 = 4*s - 4*t, 5 = s + 2*t - 0*t. Suppose 6 = -2*j + s*j. What are the prime factors of j? 2, 3 Suppose -3*g + 11 = 5*a + 31, 2*a = 4*g + 70. Let v be g/(-6) - 2/(-4). What are the prime factors of v/9 - (-29)/3? 2, 5 Let v = 161 + -95. Let o = -44 + 24. What are the prime factors of v/8 + 5/o? 2 Suppose -6*v = 9*v - 2595. What are the prime factors of v? 173 Suppose 3*a + 2*f - f - 333 = 0, -3*f = -a + 121. Suppose -3*h = h - a. Suppose w + h = 5*w. List the prime factors of w. 7 What are the prime factors of 5*5*(-8)/(-100)? 2 Suppose -2*v - 5*p = -29, 3*v + 0*p + 14 = 4*p. List the prime factors of (-2 - -13)*v/2. 11 Let y = -27 + 127. Suppose -2*r + y = 3*r. Let b = r - 9. What are the prime factors of b? 11 Suppose q + 14 = 4*f, -q + 6*q = -f - 7. What are the prime factors of f? 3 Let l(s) = -3*s - 2. List the prime factors of l(-8). 2, 11 What are the prime factors of 3 - 1 - (3 - 8)? 7 Let c(f) = 2*f**2 + 0 - 4 + 2*f - 8*f. What are the prime factors of c(5)? 2 Let c(j) = j + 10. Suppose -b + w = 4*w - 6, -4*w + 8 = b. List the prime factors of c(b). 2, 5 Let m = 28 + -10. Suppose -3*u = -4*b - m, 5*b + 15 = -0*b. Suppose -3*h + 20 = -z, -3*h - u*h = 3*z - 24. What are the prime factors of h? 2, 3 Let x = -1 + 1. Suppose -c + 37 = 4*p, -p = -5*c - 1 - 24. Let w = x + p. List the prime factors of w. 2, 5 Suppose -4*s + 858 = 3*w, 6*s - 284 = -w + 4*s. List the prime factors of w. 2, 5, 29 Let t(c) = -c + 18. Let k be t(0). Let i = -8 + k. What are the prime factors of i? 2, 5 Let a = -36 - -73. What are the prime factors of a? 37 Let b be ((-12)/9)/(1/(-6)). Suppose b*f - 100 = 3*f. What are the prime factors of f? 2, 5 Let d(x) = 5*x + 7. Let r(c) = c - 1. Let s(j) = d(j) + 6*r(j). Let w be s(1). Let a = 4 + w. List the prime factors of a. 2 Let a be 1*33/12*8. Suppose 2*q - a = 2*v, -2*q - 3*v + v = -10. What are the prime factors of q? 2 Suppose 4*j = -c + 8, 0*j + 8 = -4*c + 4*j. Suppose c = 5*q - 2*q. What are the prime factors of -3 - (q/(-1) + -20)? 17 Let u(i) = i**2 - i - 3. Let w = -27 + 22. What are the prime factors of u(w)? 3 Let x(g) = 13*g**2 + 0*g - 12*g**2 - 4 - g. List the prime factors of x(-4). 2 Suppose 2*q - 48 - 8 = 0. List the prime factors of q. 2, 7 Let o be 528/(-14) - (-6)/(-21). Suppose 0 = -5*n - 427 + 157. Let i = o - n. What are the prime factors of i? 2 What are the prime factors of (10/(-4))/(10/20)*-10? 2, 5 Let w = 4 - 2. Suppose 3*q = 2*q + w. Suppose -5 = -q*h + 9. What are the prime factors of h? 7 Suppose 5*k + 2*g = 6*k - 17, -5*k + 5*g = -75. List the prime factors of k. 13 Suppose -2*i - 7*m + 2*m + 135 = 0, -4*i - 2*m + 230 = 0. What are the prime factors of (i/(-44))/((-1)/4)? 5 Suppose -3 = 3*a - 51. Suppose -a = -l - 3*l. Suppose -5*j + o = -3*j - 24, l*o + 8 = 0. List the prime factors of j. 11 Let i = 219 + -25. List the prime factors of i. 2, 97 Let r(a) be the second derivative of a**3/3 - 5*a**2 + a. Suppose d = -5*c + 35, 2*c + 0*c - 5*d - 14 = 0. What are the prime factors of r(c)? 2 Let b(q) = q**2 - 6*q + 5. Let m be b(6). Let n(d) = d + 3. Let r be n(-3). Suppose r = -m*l + 2*l + 12. List the prime factors of l. 2 Suppose 0 = 5*i - 375 + 45. Let u = -46 + i. Let v = 38 - u. What are the prime factors of v? 2, 3 Let i = -2 - -21. Suppose 0 = k + 16 - 14. Let o = k + i. List the prime factors of o. 17 Suppose m - 1 = r, 5*m - 3*r - 3 = -0*r. Suppose -3*t + 34 = 4*s, -2*t + t - 2 = m. What are the prime factors of s? 2, 5 Let y be (-3 + (-3 - -3))*-1. Suppose 21 = 2*l - y*s + 3, -2 = -s. Let z = 33 - l. What are the prime factors of z? 3, 7 List the prime factors of -2*524/32*-4. 131 Let s be (-1 - (-8)/12)*0. Let v(i) = i**2 + 2*i - 4. Let o be v(3). Suppose s*m + m = o. What are the prime factors of m? 11 Let n(o) = o**3 + 9*o**2 + 8*o + 9. Let s(j) be the second derivative of j**4/12 - 3*j**3/2 + 3*j**2 - 2*j. Let i be s(7). List the prime factors of n(i). 3 What are the prime factors of 0 + (-4)/(-10) - (-2904)/40? 73 Let a(t) = -t. Let v be a(-2). Suppose -3*f + 16 = -v*f. List the prime factors of f. 2 Suppose -3*v + 22 = -5*z, -3*v - 19 = v + 3*z. Let g(l) = -11*l + 1. What are the prime factors of g(v)? 2, 3 List the prime factors of (-6)/8 + (-633)/(-12). 2, 13 Let k(t) = 2*t + 2. Let z be k(2). Suppose -b + z = -0. What are the prime factors of (4/b)/(8/108)? 3 Suppose 0*p = p - 40. Suppose -2*d + p = 2*d + 2*v, 0 = -4*d + 3*v + 40. List the prime factors of d. 2, 5 Let c(j) = j - 3. What are the prime factors of c(7)? 2 Let k(o) = o**3 - 3*o**2 - 4*o + 4. Let q be k(3). Let l = -5 - q. Suppose -2*i + 13 = l*r, 0*r = -5*i - r + 65. What are the prime factors of i? 2, 7 Let y be 20/(-6)*3/2. Let h = 20 + y. What are the prime factors of h? 3, 5 Let z = 148 - 58. List the prime factors of z. 2, 3, 5 Let q = -2 - -4. Let h = q - -1. List the prime factors of h. 3 Suppose 2*o + 12 = 3*o. List the prime factors of (9 - o)*(-26)/6. 13 Let f = 47 + -21. Let o = f + -13. List the prime factors of o. 13 Let m(a) = -a**3 + 6*a**2 + 7*a - 9. Let s be m(7). Let i(b) = -2*b - 2. What are the prime factors of i(s)? 2 Let g be (-1)/((-15)/12 + 1). Suppose -f + 0*n + g*n = 0, -2*f = n. Let p(t) = t**3 - t**2 + 2. What are the prime factors of p(f)? 2 Suppose -4*a + 6 + 2 = 0. Suppose -7*n + 2*n - 10 = 0, -3*n + 84 = 2*j. Suppose -t + j = 4*h - 3, -h + 5 = a*t. What are the prime factors of h? 13 Let w = 10 + -8. Suppose -4*v + 12 = 2*r - 26, w*v - 34 = -2*r. List the prime factors of r. 3, 5 Let b be (1 + 5)/(1*2). Suppose -2*c = 4*m - 136, -2*m - b*c + 72 = -0*m. Suppose m = w + 2*w. What are the prime factors of w? 11 Suppose 0 = 5*v - 4*f - 14, v - 3 = -f + 2*f. Suppose v*y = 4*b - 7*b + 55, -5*b - y + 94 = 0. List the prime factors of b. 19 Let x(w) = 6*w**2 + 3*w - 7. List the prime factors of x(5). 2, 79 What are the prime factors of ((-77)/(-15) - 5) + 4269/45? 5, 19 Let b(f) be the third derivative of f**5/20 - f**4/8 + f**3/2 + 5*f**2. What are the prime factors of b(3)? 3, 7 Let a = -9 + 21. Suppose r + 2*r = -5*b + 63, 3*r + a = 0. List the prime factors of b. 3, 5 Let z(g) = -g**2 - 7*g - 7. Let h be z(-5). Suppose -5*n = -h*p + 21, n + 7 = 3*p - p. Let y = -1 - n. What are the prime factors of y? 2 Let g(o) = -o**2 - 7*o + 11. Let d = -6 + -2. List the prime factors of g(d). 3 Let u = -7 + 7. Suppose 2*h + 4 = u, 4*s - s - 29 = -5*h. Let i = -8 + s. List the prime factors of i. 5 Let k = -97 + 156. Suppose -4*c + 57 + k = 0. What are the prime factors of c? 29 Let n = 6 - 3. Suppose -n*p = 2*p. Suppose -2*l + 2 + 10 = p. List the prime factors of l. 2, 3 Suppose 1 + 3 = -4*r, -4*n + r = -693. What are the prime factors of n? 173 Suppose 691 = 4*a - 5*z, 3*a - 819 = 4*z - 301. List the prime factors of a. 2, 3, 29 Let u(b) = -5*b - 4. Let z(f) = 25*f + 21. Let v(s) = -11*u(s) - 2*z(s). List the prime factors of v(2). 2, 3 Suppose 0 = 9*u - 157 + 4. Suppose k + 105 = 4*k. Suppose -2*y - 3*w = -u, 4*y + 0*y = -5*w + k. What are the prime factors of y? 2, 5 Let n(f) = 5*f - 1. Let v be n(1). List the prime factors of (-1 - (-42)/v)*4. 2, 19 Let r = -9 - -40. Suppose -5*s = 2*v - r, 2*v + 0*v = -s + 27. List the prime factors of v. 13 Let x(u) be the third derivative of u**4/8 + u**3/6 - 6*u**2. List the prime factors of x(5). 2 Let d(q) = -11*q + 72. What are the prime factors of d(-14)? 2, 113 Suppose 85 = -5*c + 3*g, g - 50 = 5*c + 45. Let w be (-8 - -3)*(1 + 0). Let a = w - c. What are the prime factors of a? 3, 5 Let k(j) = -j**3 - 2*j**2 + 7*j + 7. Let a be k(-5). Let q = -24 + a. What are the prime factors
{ "pile_set_name": "DM Mathematics" }
+ -21838763. What is s rounded to the nearest 1000000? 18000000 Let f = 11 - 15. Let j be f/10 - (-5 + 119749885/(-25)). Round j to the nearest 100000. 4800000 Let a = -29165 + 29164.9985779. What is a rounded to 5 dps? -0.00142 Let k = 2.268 - 2.2681089. What is k rounded to five decimal places? -0.00011 Let m(l) = l + 4. Let o be m(0). Suppose 5*j + o + 1 = 0. Let y(i) = -24001*i**3 - i**2 - i - 1. Let d be y(j). What is d rounded to the nearest 10000? 20000 Let o = 2.3 + -2.8. Let v = 0.5006 + o. What is v rounded to 4 dps? 0.0006 Let n = 1369198 - 2169201. Let p be n + (5 - (-2 + 4)). What is p rounded to the nearest 1000000? -1000000 Suppose -n + 8 = -s - 0*s, 10 = -5*s - 5*n. Let u(q) = -632799*q**3 + 9*q**2 + 19*q - 5. Let x be u(s). Round x to the nearest one million. 79000000 Let r = 61251 + -61250.98000005. Let k = -133 + 132.98. Let b = r + k. Round b to seven dps. -0.0000001 Let n be 45*12/3 - -2. Suppose n = -2*v - 4*d, -2*v - 37 = -4*d + 121. Round v to the nearest ten. -90 Let p = 140.2 + -140.200000403. Round p to 6 dps. 0 Let f = 1225 + -1225.000793. What is f rounded to five dps? -0.00079 Let u be (12/3 - 5) + -7. Let j be -4 + (u - -440)/((-2)/(-4)). What is j rounded to the nearest one hundred? 900 Let n = 20 - 20. Suppose 22868 = -5*k - 3*j - 17044, n = -k + 4*j - 7987. Let w = 917 - k. What is w rounded to the nearest 1000? 9000 Let m = -12.12 + 13.5. Let z = -0.36 + m. Let d = z + -1.73. What is d rounded to 1 decimal place? -0.7 Let q = -28.2 + 28.198856. What is q rounded to four decimal places? -0.0011 Let n = -0.3672 - 0.5779. What is n rounded to two dps? -0.95 Suppose n + 0*n = -2*h + 899, 3*h - 2*n = 1338. Let l = -16448 + h. Round l to the nearest ten thousand. -20000 Let j be 18420/((-189)/(-70) + -3). What is j rounded to the nearest one thousand? -61000 Let q = -75108456436644331.59999957 - -75108460088384285.6. Let m = -3651739938 + q. Let w = -16 + m. What is w rounded to seven decimal places? 0.0000004 Suppose -20*k - 2044 = -6*k. Round k to the nearest 10. -150 Let a = -0.25 - -0.55. Let d = -0.28 + a. Round d to two decimal places. 0.02 Let j = 4749 - 4749.009473. What is j rounded to four dps? -0.0095 Let z = -187563 - -187651.907. Let g = -89 + z. Let v = 0.09382 + g. Round v to 4 decimal places. 0.0008 Let i = 378 - 380.89. Let g = 2.89000157 + i. What is g rounded to seven decimal places? 0.0000016 Let p = 5653.964507253 - 1.974529253. Let j = p - 5652. Let v = 0.01 + j. Round v to five decimal places. -0.00002 Suppose -4*j = -j - 12. Suppose -3*t + g = -j*t - 97, 176 = -2*t + 4*g. What is t rounded to the nearest 10? -90 Let a = -389 + 543. Round a to the nearest ten. 150 Let q(w) = 2*w**2 - 3*w - 1. Let o(a) = -2*a - 5. Let u(m) = -m + 2. Let r be u(6). Let x be o(r). Let z be q(x). What is z rounded to the nearest integer? 8 Let b be (-6)/(-21) + (-19)/(-7). Suppose -3*y = -b - 0. Let m be (-27 - y)/((-4)/70). What is m rounded to the nearest one hundred? 500 Suppose 0 = t - 2 - 2. Let k be (-6)/(-8) - (-45)/20. Suppose 0 = t*m - 4*w, -6*m + w = -k*m. Round m to one decimal place. 0 Let r = 3108733449.996979 + -3108731244. Let l = -2206 + r. Let g = l + 0.003. What is g rounded to six dps? -0.000021 Let o = -7.1 - 1.9. Let v = o + 8.9998. Round v to 4 decimal places. -0.0002 Suppose -3*t + j + 38 = -3*j, -4*j - 2 = 3*t. Let y = t + -2. Suppose 836 = -3*z + 4*k, 5*z + y*k + 618 = -786. Round z to the nearest one hundred. -300 Let p = -28.453208 - 2.261122. Let w = 0.28593 - p. Let b = w + -31. What is b rounded to 4 dps? 0.0003 Let n = 0.0516 + 0.0014. Round n to 1 dp. 0.1 Let o = 6070.157 + -6067. Round o to the nearest integer. 3 Let f(c) = 38*c**2 - 14*c - 6. Let b be f(-3). Let v(l) = -19*l**2 + 8*l + 4. Let d be v(6). Let g = b + d. Round g to the nearest ten. -250 Let b = 132 - 132.00001698. Round b to six decimal places. -0.000017 Let f = -2.48 + 157.48. Let m = 225 - f. Let k = -69.99934 + m. What is k rounded to four decimal places? 0.0007 Let c(z) = -183*z**2 + 4*z - 20. Suppose 4*l - 36 = 2*b, 4*l + 0*b = 4*b + 40. Let o be c(l). What is o rounded to the nearest 1000? -12000 Let m(h) = -114*h**2 + 15*h - 46. Let v be (28/10)/(1/(-5)). Let b be m(v). Round b to the nearest one thousand. -23000 Suppose h + 3385680 + 20374320 = 0. What is h rounded to the nearest 1000000? -24000000 Let n = 446.999481 - 447. What is n rounded to four decimal places? -0.0005 Suppose 12*n - 5099998 = 13*n. Let d be -1*n/(-1) - 2. What is d rounded to the nearest one million? -5000000 Let m = 5954 - 15284. What is m rounded to the nearest 1000? -9000 Let x(b) = -49*b**3 + 2*b**2 + 21*b - 61. Let p be x(3). Round p to the nearest ten. -1300 Let g = -44.9899993377 + 44.99. Round g to seven dps. 0.0000007 Let q = -267 - -140. Let f = -0.117 + -119.583. Let r = f - q. Round r to the nearest integer. 7 Suppose -2*v + 16568 = 4*a, -v + 4*v = a + 24873. What is v rounded to the nearest 1000? 8000 Let t = -1.63 - -1.186. What is t rounded to 1 dp? -0.4 Suppose -2*q = 3*a + 25437, -50883 = 70*q - 66*q - 3*a. Round q to the nearest 100. -12700 Let w = 19843.352 - 19917. Let y = 75 + w. Let d = y - 1.4. What is d rounded to 2 decimal places? -0.05 Let d = -704572985 - -704572965.99999955. Let i = -31 - -50. Let p = i + d. What is p rounded to 7 decimal places? -0.0000005 Let b = -201245.85 + 202063.7967. Let y = -818 + b. Round y to three dps. -0.053 Let c = -1175 + 1174.99904. Round c to 5 dps. -0.00096 Let c = 0.5029424 + -0.7309555. Let m = -0.228 - c. What is m rounded to 6 decimal places? 0.000013 Let g(r) = 3419*r - 527. Let u be g(23). Round u to the nearest 10000. 80000 Let l = -18249 + 18085.93. Round l to the nearest ten. -160 Suppose 22553384 - 3994609 = 5*r - 5*h, 0 = 2*r + 3*h - 7423505. Suppose 0 = -7*o + r - 603754. Round o to the nearest ten thousand. 440000 Let i(d) = 3018180*d + 20. Let s(m) = -m**3 + 12*m**2 + 11. Let q be s(12). Let k be i(q). Round k to the nearest 1000000. 33000000 Suppose 2*v + v = 9. Suppose -2*y - x + v*x + 23998 = 0, -5*y - 4*x = -60004. Suppose 0 = -m - m + y. What is m rounded to the nearest ten thousand? 10000 Let q = 47.400436 + -47.4. Round q to four dps. 0.0004 Let s = -0.0023 + 294.0023. Let t = s - 293.999582. What is t rounded to 4 decimal places? 0.0004 Let d = -15 + 14.6. Let c = d + 0.353. Round c to two decimal places. -0.05 Let a(b) = -5*b**3 - 2*b**2 + 2*b + 44. Let l be a(-18). What is l rounded to the nearest one thousand? 29000 Let o = -231.1 - -211. Let t = o - -22. What is t rounded to 0 dps? 2 Let m = 168.2 - 23.2. Let q = 130.8 - m. What is q rounded to the nearest 10? -10 Let u = -1292.04452 - -1292. What is u rounded to 2 dps? -0.04 Let k = -17.817 - -61.893. Let u = -0.076 + k. Let n = u - 44.00084. What is n rounded to 4 dps? -0.0008 Suppose 0 = 4*p - 6*p - 2125664. Let x = p + 3169614. Let z = x + -3616782. What is z rounded to the nearest 100000? -1500000 Let q = -544 - -543.999633. What is q rounded to 4 dps? -0.0004 Let j = 68.8 - 68.80622. Round j to three dps. -0.006 Let h = 1342 - 1341.994827. What is h rounded to 4 decimal places? 0.0052 Let g = 1.8 + -47.8. Let t = 46.00067 + g. Round t to 4 dps. 0.0007 Let y = 10721 - 22177. Let k = y - -11429.092. Let v = 27 + k. What is v rounded to 2 dps? 0.09 Let d = -26883808 - -26883863.000062. Let o = d + -55. Round o to five dps. 0.00006 Let k = -0.125 + -204.875. Let y = -13050 + 12845.87. Let q = y - k. What is q rounded to 1 decimal place? 0.9 Let b = -676239 - -676208.0249. Let q = b - -31.11. Round q to two decimal places. 0.13 Let b be 7/(-3) - (-4)/12. Let j be -1 + 2 + b + 1. Suppose -2*t = -j*t + 1160. What is t rounded to the nearest 100? -600 Let v = -2501029 + 2501027.5000132. Let l = 0.5 + -2. Let q = l - v. Round q to six dps. -0.000013 Let k = -77.02 + 86.4. What is k rounded to the nearest integer? 9 Let q = 47 - 70. Let f = -22.99888 - q. What is f rounded to 4 decimal places? 0.0011 Let b = 7782217 - 1402217. What is b rounded to the nearest one million? 6000000 Let p = 31 + 29. Let j = -38 + p. Let q = j - 22.000046. What is q rounded to five dps? -0.00005 Let i = 66.743 + -67. Let t = -0.24 - i. What is t rounded to two dps? 0.02 Let l = -40 - -35.9. Let d = -4.038 - l. Let g = d
{ "pile_set_name": "DM Mathematics" }
x. 6 Rearrange -481*f**2 + 293*f**2 - 526*f**2 + 40*f**2 to k*f**2 + i + o*f and give k. -674 Rearrange (-7 - 2 - 10)*(4*i + 2*i + 10*i)*(2*i - 2*i**3 - 2*i) + i**4 - 4*i**4 + i**4 to d*i**3 + o*i + g*i**2 + p*i**4 + a and give p. 606 Rearrange (-46 - 288 - 325)*(3 - 3 - 2*f + (0 + 0 - 2)*(1 - 1 + 2*f) + 2*f - 7*f + 3*f + f - 3*f + f - f + f + 2*f) to the form p*f + x and give p. 4613 Express -18 - 2 + 21 - 3 - 449*m**3 as b*m**3 + j*m + d + a*m**2 and give d. -2 Express -9*l + 157*l**2 - 2 - 319*l**2 + 159*l**2 as a*l + b*l**2 + x and give b. -3 Express 137*q**2 + 587*q**2 + 14*q**2 + 8*q - 8*q as w*q**2 + f + n*q and give n. 0 Rearrange -73*r**3 - 33*r**3 + 13*r**3 + 2*r - 38*r**3 + 0*r to the form k*r**3 + p*r + s*r**2 + d and give k. -131 Rearrange 45*v**3 + 2*v**4 - 43*v**3 - 47*v**2 + 13*v**2 to the form l*v**3 + t + d*v + w*v**4 + i*v**2 and give l. 2 Express (-2*r + 2*r - r)*(-30*r - 15*r + 10*r) + (3*r**2 - r**2 - r**2)*(0 + 0 - 2) as x + j*r**2 + v*r and give j. 33 Express (0*b - 4*b + 0*b)*(5*b**2 - 2*b**2 - b**2) + 2*b**3 + 0*b**3 - 4*b**3 as k*b**3 + a + y*b + g*b**2 and give k. -10 Express 3954*p - 1977*p + 4*p**2 - p**3 - 1978*p as x*p**3 + a + s*p + b*p**2 and give x. -1 Rearrange -3*p**3 - 4*p**4 + p**4 - 88*p**2 + 3*p + 2*p**4 + 86*p**2 to the form q + a*p**4 + d*p + g*p**3 + i*p**2 and give a. -1 Rearrange -407 + 40 - 6*b + 2*b + 2*b to w + j*b and give j. -2 Express (-2*y - 2*y + 5*y)*(283*y + 225*y - 225*y) as b*y + n*y**2 + u and give n. 283 Express (-1 + j + 1)*(-44*j - 2321*j + 3420 - 3421) as r*j + h + x*j**2 and give x. -2365 Rearrange 12*g - 28 - 3*g**3 - 41 + g**2 + 68 to z*g + r*g**3 + t*g**2 + a and give a. -1 Rearrange -3*m**3 - 2190*m**2 + m - 6 + 4*m**4 + m + 2192*m**2 to u*m**4 + r*m**2 + b*m + s*m**3 + l and give s. -3 Express (-d**2 + 0*d**2 + 3*d**2)*(-4*d + 0*d + d) + (-2 - 226*d + 240*d - 4)*(d**2 - 2*d**2 - d**2) as n*d**2 + c + q*d**3 + u*d and give q. -34 Express 2 - 5*j**3 + 6*j**3 + 5*j + j**2 + 3*j + 5*j - 10*j as l + o*j + s*j**3 + f*j**2 and give o. 3 Rearrange -10*w**2 + 383 - 210 - 213 to o + t*w + r*w**2 and give o. -40 Express (-5 + 3 + 1)*(2*b - 5*b - 3*b)*(2*b + 2*b - 2*b)*(1 - 3 + 4) + 2*b**2 - 37*b + 37*b as i*b + l*b**2 + q and give l. 26 Express 375*h**4 + 3*h**2 - h - 185*h**4 - 4*h**3 + 1 - 186*h**4 in the form b*h**4 + k + o*h + z*h**3 + d*h**2 and give z. -4 Rearrange (3*t - 3 + 766*t**2 - 390*t**2 - 383*t**2)*(t + 5*t - 3*t) to v + j*t**2 + q*t + p*t**3 and give j. 9 Rearrange -20 + 2*y**2 - 107 + 14 - 51 - 2*y + 12 to h + b*y**2 + z*y and give z. -2 Rearrange -3*l**2 + 6 + 0 + 8*l - 10*l to i + v*l**2 + m*l and give m. -2 Rearrange -4*k - 26*k + k**2 - 3*k**2 - 9*k - 2*k**2 + 2*k**4 to the form x*k**3 + c*k + n*k**4 + j*k**2 + t and give c. -39 Express 251*v**2 + 29998*v - 29998*v + (-3*v + v + 0*v)*(4 - 4 - 2*v) in the form t + r*v + h*v**2 and give r. 0 Rearrange (0*m - 4*m + 3*m)*(42 - 1131 - 344) + (-3*m - m + 3*m)*(1 + 3 - 3) - 2*m + 2 - 2 - m + m + 2*m to h + r*m and give r. 1432 Rearrange (-3 + 1 - 2)*(-6*u - 3*u + 15*u**2 + 7*u)*(3*u**2 - 4*u + 4*u) to the form b*u**4 + n*u**2 + s + q*u**3 + z*u and give q. 24 Express -4*v**2 + 0*v**2 + 4*v**3 - 2*v - 4*v**2 + v**2 + 5*v**2 + 5 in the form j*v**3 + p + q*v**2 + w*v and give q. -2 Rearrange 190*s + 166*s + 56*s + 37*s to w*s + d and give w. 449 Express -1 - 17 + 43*t + 4 + 7 as h + o*t and give h. -7 Rearrange (-9 + 22 + 2 - 4 + 3 + 0 + (-1 - 2 + 1)*(3 - 4 + 3) - 5 + 3 + 4)*(-819 + 4*j - 5*j + 820) to the form w + z*j and give z. -12 Rearrange (-2*v**2 + 4*v**2 + 0*v**2)*(90*v**2 + 10*v**2 - 340*v**2)*(2 - 3 + 2) to the form a*v**2 + x + g*v**4 + m*v**3 + y*v and give g. -480 Rearrange (-3*i + 3*i + i**2)*(-3 + 5 + 0)*(3*i + 7 - 7 + (0 + 2*i + 0)*(-2 + 2 - 5)) to the form s + p*i + b*i**2 + o*i**3 and give o. -14 Rearrange 205142*y**3 + 2*y - 205144*y**3 - 2 + 4*y**4 + 4*y to q*y**2 + r*y**3 + x + h*y**4 + j*y and give h. 4 Express (6*f - 3*f - f)*(-16 - 11 + 25) + 4*f + f - 4*f + 2 - 2 - 4*f + (-f + f + f)*(3 - 2 + 0) in the form r + v*f and give v. -6 Express 14155 - 14155 + 52*w in the form p*w + h and give p. 52 Rearrange 21*i**2 - 48*i**2 + 18*i**2 + 3*i to the form m*i**2 + l*i + u and give m. -9 Express -12 + 31 - 37*l**3 - 23 - 51*l**3 in the form a*l**2 + h*l + q*l**3 + k and give h. 0 Express 1 - 14*d**2 + 0 + 3 - 15 + 2 in the form o + j*d + p*d**2 and give o. -9 Rearrange (15 - 2 - 3)*(-2 + 4 + 1)*(-14*m - 6*m - 3*m) to l*m + x and give l. -690 Rearrange 2*p**2 - 480*p**4 + p**2 + p - 2*p**2 + 482*p**4 + 65 to g*p**4 + d*p**2 + c*p + j + v*p**3 and give j. 65 Express 2 - 496*b**2 - 210*b**2 - 280*b**2 - 2 in the form l + s*b**2 + u*b and give s. -986 Rearrange (130*n - 130*n - 2*n**2)*(-18 + 3 + 46)*(-3*n - n**2 + 7*n - n**2) to the form q*n + c*n**4 + a + f*n**3 + y*n**2 and give c. 124 Rearrange 20*r**3 - 10*r**2 - 15*r**3 - 3*r**2 to z + a*r + b*r**2 + t*r**3 and give t. 5 Express -184*x + 396*x**2 + 91*x - 29*x**2 + 93*x in the form o + f*x + c*x**2 and give c. 367 Express 1267400*q**3 + 0*q - 98*q**2 - 2*q - 1267401*q**3 in the form z*q**3 + c + d*q + t*q**2 and give d. -2 Rearrange 338*q + 668*q - 166*q + 415*q to k*q + z and give z. 0 Rearrange (-3 + 5 - 30)*(231*n**2 - 431*n**3 - 231*n**2) to y*n**2 + f + c*n + s*n**3 and give s. 12068 Rearrange (3 + a - 3)*(-2 - 3 + 3) + 3*a + 0*a - 2*a + (-14 + 1 - 16)*(-2*a - a - a) - 3*a - 3*a + 5*a to the form x*a + j and give j. 0 Express (3*i - 2*i - 2*i)*(3 + 0 - 1 + (40 - 15 + 53)*(-2 + 2 + 3)) + 3 - 3 - 2*i in the form x + y*i and give y. -238 Rearrange (3290*h + 131*h**2 - 3290*h)*(5*h**2 - h + h) to a*h**4 + r*h**3 + u*h + s*h**2 + d and give a. 655 Express 0*l + 2 - 19*l**2 + 35*l + 18*l**2 as v*l + s + x*l**2 and give x. -1 Rearrange -271*i + 563*i + 87 - 287*i to p*i + w and give w. 87 Rearrange 0*j**2 + j**2 - 141*j**4 - 21*j**3 - 141*j**4 + 278*j**4 to q*j**4 + r + z*j**3 + u*j + c*j**2 and give q. -4 Express ((3 - 2 + 3)*(5 - 5 - 2*c) + 17*c - c - 2*c)*(2*c + 0*c - 3*c)*(1 + 0 + 1) in the form u*c + f + i*c**2 and give i. -12 Rearrange ((0*i + 0*i - i)*(-1 + 6 - 7) + (2 + 1 - 2)*(-2*i + 2*i - 6*i))*(3*i + i**2 - 3*i) to k*i**3 + v*i**2 + f + g*i and give k. -4 Express 3*w**2 - 4*w**3 - 3 + 7 + 2*w**3 - 4 + 16*w as j + z*w**2 + t*w + g*w**3 and give g. -2 Express 0*l - l - l + (-2 + 3 - 3)*(2*l + 2 - 2) - 2*l + 1 - 1 + 1191*l - 2016*l + 1051*l as z*l + r and give z. 218 Express (1366 + 117 + 439)*(-3*g + 4*g + g) as t*g + j and give t. 3844 Rearrange 0*q + 2*q + 91 - 89 + (2 + 2 + 5)*(q + 4*q - 2*q) to y + c*q and give y. 2 Express -5 + 77*m - 74*m + 1 + 2*m + m - 2*m + 2 + m - 2 + (2*m - 2*m + m)*(1 - 1 + 1) + m - 4 + 4 - 5 + 2*m + 5 + 0*m - 2*m + m as s + o*m and give s. -4 Rearrange 73672 + r**2 - 245*r - 73672 to the form v*r + n*r**2 + q and give n. 1 Rearrange (57 + 115*d - 116*d + 17)*(0*d**2 - 2 + 8*d**2 + 7*d**2) to m*d + w*d**2 + x + u*d**3 and give u. -15 Rearrange -263 + 240*m + 160*m + 263 to the form y + k*m and give y. 0 Rearrange -137*c - 532*c**2 + 267*c**2 + 3 - 1 + 270*c**2 to the form p*c**2 + z + i*c and give z. 2 Rearrange -73*r + 31*r - 17 + 17 to v + z*r and give z. -42 Rearrange -92 + 92 - 28*y**2 + (-y**2 + 5*y**2 - 8*y**2)*(-2 + 3 - 2) to the form k + x*y + n*y**2 and give n. -24 Express (131 - 13*z - 131)*(3*z**2 - z**2 + z**2) + (2*z**3 + z - z)*(-6 + 14 + 3) as l*z + h*z**3 + j + r*z**2 and give h. -17 Express (53 + 60 - 121)*(-2*i**2 - i**2 + 4*i**2)*(3*i - 2*i - 3*i) in the form z*i**3 + y + w*i + r*i**2 and give w. 0 Express 50*h + 30*h - 30*h + 55*h in the form o + u*h and give o. 0 Express 710*i**2 + 741*i**2 - 184*i**2 as u + d*i + y*i**2 and give y. 1267 Rearrange 20*j**2 - 697*j + 697*j - 84 - 34*j**2 + 11*j**2 to the form d*j + c*j**2 + k and give d. 0 Rearrange (3*n - 3*n + 2*n)*(-4*n + 3*n - 2*n) + (4 + 3*n - 4)*(-3 + 2 + 0 - 4*n) to c*n + k*n**2 + a and give c. -3 Rearrange -9 - l**3 - 6 + 17 - l**3 + 2*l**2 + 3*l to i*l + k*l**2 + w + z*l**3 and give k. 2 Rearrange -2*g**2 + 1 - 1 + (-8*g + 3*g + 3*g)*(3*g + g - 3*g) + 5*g + g**2 - 5*g + (g + 12*g + g)*(g - 3*g + 0*g) to the form i + v*g + n*g**2 and give n. -31 Express -2*v**3 + 9*v**2 + 2*v**4 - 15*v**2 - 38*v + 5*v**2 in the form r*v**3 + h*v + c + y*v**4
{ "pile_set_name": "DM Mathematics" }
a What is the third smallest value in 0.5, -4, -3, -13, 5, -5? -4 What is the biggest value in 0.05, 293, -1/11? 293 What is the third biggest value in 2, -2/17, 3, 0.3, 4, -5/2? 2 Which is the smallest value? (a) 1/203 (b) 2/9 (c) 1339 a Which is the fourth smallest value? (a) -1 (b) 0.1 (c) -1/4 (d) 1/5 (e) -367 b Which is the third smallest value? (a) -2 (b) 0.4 (c) 18 (d) 4 (e) 8/3 (f) -29 b What is the second biggest value in -2, 5/3, 4, 0.8488? 5/3 Which is the smallest value? (a) 2/5 (b) 0.6803 (c) -0.3 (d) 4 (e) -3 e What is the third smallest value in -49.05, 0.5, 6, 9? 6 Which is the third smallest value? (a) 0 (b) -0.5 (c) 0.2 (d) 16/33 c What is the third biggest value in 5/24, 0.006, 0? 0 Which is the smallest value? (a) -0.1 (b) 0.3 (c) 22207 a Which is the fourth smallest value? (a) -7/9 (b) -19 (c) -3 (d) -0.2 (e) 284 d Which is the third smallest value? (a) 2/7 (b) -9 (c) -2/161 a What is the fourth smallest value in 4/5, 0.3, 2/25, -366, 2? 4/5 Which is the third biggest value? (a) 1 (b) 12 (c) -16 (d) 69 (e) 0.5 (f) -1 a What is the third smallest value in 0, -2/15, 704? 704 What is the third biggest value in -1.3, -1/7, 5? -1.3 Which is the second smallest value? (a) 0.06 (b) 9 (c) -4 (d) -116/13 (e) 3 (f) 0.1 c What is the third smallest value in 2/19, 5, -45, -1223? 2/19 What is the third smallest value in -0.11208, -0.4, -1/121? -1/121 Which is the third smallest value? (a) 1/7 (b) -3 (c) 52187 c What is the smallest value in -0.2, -3/5, -6/2731? -3/5 What is the fourth biggest value in 13, 0.1, 0.4, 8, -5? 0.1 Which is the second biggest value? (a) 1 (b) 3/7 (c) 36398 (d) 2 d Which is the fifth biggest value? (a) 17 (b) -2 (c) 4 (d) 3 (e) -490.1 (f) 5 b Which is the third biggest value? (a) -37/4 (b) 51 (c) -4 a What is the biggest value in -20, 13.04, -2, 2? 13.04 Which is the fourth biggest value? (a) 27 (b) 0.1 (c) -3/7 (d) 3 (e) 0 (f) -3 e Which is the third smallest value? (a) 10.01 (b) -0.18 (c) 2 a What is the third smallest value in 1/4, -3, -2/251, -1, 0.7? -2/251 What is the fourth smallest value in 0.1, -54, -1/3, -64/23? 0.1 Which is the fifth biggest value? (a) 1/3 (b) 83 (c) 1 (d) 2 (e) -7 e What is the biggest value in -0.5, 0.4, 4389/8, -5, -21? 4389/8 Which is the biggest value? (a) -406 (b) -0.1 (c) -3 (d) 1/8 (e) 5 (f) 3/5 e What is the second smallest value in -0.4, 0, 3, 13.6, 2/3, 0.5? 0 Which is the biggest value? (a) -244/9 (b) 2 (c) 0.096 b Which is the third smallest value? (a) -147 (b) 64 (c) -5 (d) 0.1 (e) 1 d Which is the fifth smallest value? (a) -29 (b) -0.08 (c) -5 (d) -0.5 (e) -0.04 e What is the fourth biggest value in 2997, -5/3, 13, 4? -5/3 What is the third smallest value in -1/4, -304, 3, -2, -3, 0.4? -2 What is the biggest value in 4/7, -18/19, -5, -0.03, 1? 1 What is the fifth biggest value in -0.3, 3, -5/3, -0.5, 0.32, 5? -0.5 What is the fourth smallest value in -17, 4, -2/9, 1/4, -0.4, 2/11? 2/11 What is the third smallest value in 100/7, -3, -0.4? 100/7 Which is the second biggest value? (a) 53 (b) -9/16 (c) -0.04 c What is the third biggest value in -2/37, 1/2, -0.031? -2/37 Which is the biggest value? (a) 0.5 (b) -5 (c) 2/2371 a Which is the third biggest value? (a) 1 (b) 2 (c) 3 (d) 2/5 (e) 0.175 (f) 1/4 a Which is the fifth biggest value? (a) -4 (b) 4/5 (c) 2/23 (d) -1/6 (e) -24/5 (f) 0.5 a What is the second biggest value in 2/31, -3/4, -178, -2/7? -2/7 Which is the fifth biggest value? (a) 35 (b) -0.6 (c) -0.2 (d) 0.4 (e) 6/13 b Which is the third smallest value? (a) 1/6 (b) -5/8 (c) -0.4 (d) 2/7 (e) -22284 c Which is the second biggest value? (a) 2 (b) 0.1 (c) 9/8 (d) 9 (e) -0.3 a What is the third biggest value in -238, -4/177, 2/7? -238 What is the smallest value in 5/3, -6, -8, 8? -8 What is the third smallest value in 40/99, 0.2, -2, 5? 40/99 What is the smallest value in 4, -1808/35, -0.5? -1808/35 Which is the biggest value? (a) -1/4 (b) 5/4 (c) -3 (d) 0.4 (e) 0.65 (f) 7 f What is the fourth biggest value in -3/2, 4, -0.4, -0.045739, 3? -0.4 Which is the second smallest value? (a) 1/10 (b) 0 (c) 1 (d) -318 b Which is the second smallest value? (a) -0.5 (b) -710 (c) -3/14 (d) 0.3 a Which is the biggest value? (a) 3/2 (b) -36/11 (c) -3/4 (d) -3/2 (e) 5 (f) -0.4 e What is the second smallest value in -46, 22, 0.5? 0.5 Which is the second smallest value? (a) -3 (b) 0.5 (c) 0.2 (d) -1/2 (e) 4/23 (f) -55/3 a Which is the smallest value? (a) 80 (b) -5 (c) 10 b Which is the second smallest value? (a) 96 (b) -15 (c) 5/4 (d) 0.5 d What is the second biggest value in 24304, 2, 0.1? 2 Which is the biggest value? (a) 2658 (b) 75 (c) 2/5 a Which is the fourth smallest value? (a) -0.02 (b) 0 (c) -29 (d) -0.1 (e) -2 (f) -0.8 d Which is the third biggest value? (a) -822 (b) -2 (c) 1/2 (d) 1/12 (e) 12 (f) 0.3 f Which is the biggest value? (a) 5 (b) -346/15 (c) 0.1 (d) -2 a What is the second biggest value in -1, 0.2, 146519? 0.2 What is the fourth biggest value in 0, -12, -6, 8, 3? -6 Which is the third smallest value? (a) 1/5 (b) -6 (c) -0.11 (d) -0.1 d Which is the third biggest value? (a) 29497 (b) -15 (c) -2/7 (d) -2/5 d What is the third smallest value in -1.17, -2, -166? -1.17 What is the fourth biggest value in 1/3, 8, -50.8, -0.2? -50.8 Which is the third biggest value? (a) 2 (b) 0 (c) -3/5 (d) 6 (e) -21 b What is the fifth biggest value in -0.3, -3, -14, -2/13, -834, 1? -14 What is the second smallest value in -3/11, -4/3, -8, 0.3, -0.13? -4/3 What is the smallest value in 1/5, 6.4, -5, -1, 3, 0.6? -5 What is the fifth smallest value in -4, 0.4, -955, 0.5, -5? 0.5 Which is the third smallest value? (a) -2 (b) 0.2 (c) 240/23 (d) 3 (e) 0.1 (f) 4 b Which is the biggest value? (a) -5/4 (b) -3002 (c) 0.1 c Which is the fourth biggest value? (a) -0.12 (b) 287 (c) -1/2 (d) 0.1 (e) -0.02 a What is the second smallest value in -0.3, -2110, 4, -0.6? -0.6 What is the third smallest value in -5/6, -4/3, -0.4, 12? -0.4 What is the fifth smallest value in 19, -21, 10, 4, 0.4, -14? 10 Which is the second smallest value? (a) -0.08 (b) -4 (c) 0.15 (d) 0.06 a Which is the biggest value? (a) 54/5 (b) 1/9 (c) 1/2 a What is the second biggest value in 12, 5/3, 1.4, -25? 5/3 What is the second biggest value in -2/7, 757, -1/5, -2.1? -1/5 Which is the second biggest value? (a) -6/7 (b) -3/2 (c) 725 (d) 0.4 d What is the fourth smallest value in 0.08485, 0.5, 4, -5/6? 4 What is the second biggest value in 82, 3, -25, 1, 2/3, -3? 3 What is the third smallest value in 13, 34, -0.3, -4/59? 13 What is the fourth biggest value in 26, 29, -1/2, 2? -1/2 Which is the fourth biggest value? (a) -2/5 (b) 1/3 (c) 1/4 (d) -8672/9 d Which is the smallest value? (a) 4/3 (b) -3/19 (c) -0.0384 b What is the fourth smallest value in 28, 3, -6, -0.062, 2? 3 What is the fourth smallest value in -1/4, 3, -157, -13? 3 Which is the biggest value? (a) -1 (b) 0.5 (c) 1 (d) -1/2 (e) 2 (f) 12/29 e What is the fourth smallest value in 2005, -1, -0.4, 6, 2? 6 What is the second biggest value in 0.2, 41, 422? 41 What is the biggest value in 5/3, 0.3359, 1/20, -1/6, 4? 4 What is the smallest value in 0.5, 1535, 2/3? 0.5 Which is the smallest value? (a) 95 (b) -1/3 (c) 2 (d) 4768 b Which is the sixth smallest value? (a) 0 (b) -2 (c) -4 (d) 5 (e) 0.4 (f) -14447 d What is the smallest value in 0, -0.4, -0.0576? -0.4 Which is the third biggest value? (a) 4 (b) 5 (c) -0.1 (d) -14 (e) -1/8 (f) -16/33 c Which is the biggest value? (a) 14/3 (b) -1/4 (c) -329/2 (d) -5 (e) -10 a Which is the third smallest value? (a) 0 (b) 16060/7 (c) 1/12 b Which is the third biggest value? (a) 11 (b) 1 (c) 0.04594 c Which is the biggest value? (a) 1/3 (b) -0.08 (c) 1487/2 c What is the biggest value in -37/11, 0.5, 4.9, -1/4, 0.1, 4? 4.9 Which is the second biggest value? (a) 2/15 (b) -0.4 (c) -1/37394 c What is the biggest value in 4, 1/4, 4/3, 3? 4 Which is the third smallest value? (a) 1/5 (b) 1.3 (c) 4/3 (d) 5 c What is the second biggest value in -2/23, -2/3, -3, -28, 1/3? -2/23
{ "pile_set_name": "DM Mathematics" }
+ 11*t(x). Differentiate c(h) with respect to h. -2*h + 44 Let i(n) = -73*n**2 + 24*n + 697. Let t(v) = 72*v**2 - 29*v - 695. Let w(y) = 5*i(y) + 4*t(y). Differentiate w(z) wrt z. -154*z + 4 Let p be 28/(-182) - (-132)/13. What is the second derivative of 24*x - 95 - p*x**5 + 95 wrt x? -200*x**3 Suppose 2*z - 3*b + 0*b = 11, 2*b + 7 = z. What is the first derivative of 1 - z + 2 + 9*a**2 wrt a? 18*a Let c(r) be the second derivative of 23*r**8/56 - r**4/12 + 19*r**3/6 + 10*r. Find the third derivative of c(y) wrt y. 2760*y**3 Let u(h) = 144*h**4 - 6*h**3 - 13*h**2 - 5*h. Let d(r) = 145*r**4 - 5*r**3 - 15*r**2 - 4*r. Let l(q) = 5*d(q) - 4*u(q). Find the third derivative of l(s) wrt s. 3576*s - 6 Let x(z) = 53*z**3 + 3*z**2 - 28*z + 3. Let u(a) = a**3 - a**2 + a - 1. Let i(f) = -3*u(f) - x(f). What is the second derivative of i(b) wrt b? -336*b Let m = -26 - -48. What is the derivative of -7 + 37*h**3 + m + 13 wrt h? 111*h**2 Find the first derivative of 2*p + 153 - 10*p**3 + 0*p - p - 21*p**3 wrt p. -93*p**2 + 1 Let h(z) be the third derivative of z**4/3 - 305*z**3/6 + 33*z**2. Find the first derivative of h(y) wrt y. 8 Let z(s) be the second derivative of 431*s**6/30 + s**3/3 + 37*s**2/2 + 49*s + 1. Find the second derivative of z(d) wrt d. 5172*d**2 Let a = 555 + -11097/20. Let d(y) be the second derivative of a*y**5 + 0*y**3 - 3/2*y**2 - 4*y + 0*y**4 + 0. What is the first derivative of d(k) wrt k? 9*k**2 Let k(h) = -2*h**4 - 2*h**2 + h. Let s(x) = -9*x**4 + 142*x**3 - 12*x**2 + 129*x - 1. Let a(q) = -6*k(q) + s(q). Find the second derivative of a(g) wrt g. 36*g**2 + 852*g Let f(i) be the first derivative of 97*i**5/5 + 140*i**3/3 - 248. Find the third derivative of f(c) wrt c. 2328*c Let v(o) = o**3 + o**2 - o. Let d(w) = 679*w**3 + 3*w**2 + 14*w - 12. Let h(g) = -d(g) + 3*v(g). Find the second derivative of h(p) wrt p. -4056*p Find the third derivative of -2*q**2 - 62*q**6 + 64 - 15*q**6 - 98*q**6 wrt q. -21000*q**3 Let g(x) be the third derivative of 0 + 0*x**3 + 0*x + 0*x**5 - 1/21*x**8 - 21*x**2 + 11/12*x**4 + 0*x**7 + 0*x**6. What is the second derivative of g(l) wrt l? -320*l**3 Let q(m) = 2*m - 12. Let z be q(8). Suppose -z = -4*g + 2*g. Find the second derivative of 7*l**3 - 2 + 0*l**3 - 3*l + g wrt l. 42*l Find the third derivative of -5*k**5 + 42*k**4 + 0*k**2 - 261*k - k**2 + 0*k**5 + 13*k**4 + 6*k**5 wrt k. 60*k**2 + 1320*k Let f(c) be the first derivative of c**5/5 + 4*c**2 - c - 9. Let d(k) be the first derivative of f(k). Differentiate d(w) with respect to w. 12*w**2 Let p(h) be the second derivative of -85*h**4/12 - 22*h**3/3 + 73*h. Find the second derivative of p(a) wrt a. -170 Let z(q) be the second derivative of 19*q**6/5 - 37*q**3/2 + 3*q - 3. What is the second derivative of z(p) wrt p? 1368*p**2 Let n(w) be the first derivative of -7 - 10/3*w**3 + 0*w**6 + 11/7*w**7 + 0*w**2 + 0*w**4 + 0*w**5 + 0*w. Find the third derivative of n(u) wrt u. 1320*u**3 Find the second derivative of 49*p - 42*p + 1 - 56*p**2 - 2 + 203*p**2 + 0 wrt p. 294 Let o(u) be the third derivative of 0*u + 0 + 5/3*u**3 + 0*u**5 + 0*u**4 + 17*u**2 + 0*u**6 + 2/21*u**7. Differentiate o(i) wrt i. 80*i**3 Find the first derivative of 59*h**3 - 94 + 30 + 19*h**3 + 77*h**3 wrt h. 465*h**2 Let y(w) = -w. Let l(h) = -h**2 + 6*h - 5. Let k be 26/(-65)*5/2. Let j(p) = k*l(p) - 6*y(p). Differentiate j(a) wrt a. 2*a Find the second derivative of -27*l**2 + 8 - 4*l**2 - 20*l + 3*l**4 + 52*l - 4*l**4 - 8*l wrt l. -12*l**2 - 62 What is the third derivative of 2*b**2 - 6*b**3 + 146*b + 49*b**3 - 200*b wrt b? 258 What is the first derivative of -161*v**3 - 4 - 216*v**3 + 42 wrt v? -1131*v**2 Let g(j) = 343*j - 142. Let o(i) = 342*i - 146. Let r(p) = 5*g(p) - 6*o(p). Differentiate r(c) wrt c. -337 Let c(o) be the third derivative of -17*o**5/4 - 53*o**4/6 + 276*o**2. Find the second derivative of c(x) wrt x. -510 Let n(h) be the first derivative of 0*h + 0*h**5 - 25 + 0*h**2 + 2*h**7 + 0*h**4 + 0*h**6 + 26/3*h**3. What is the third derivative of n(t) wrt t? 1680*t**3 Let f(j) be the first derivative of 0*j + 1/2*j**2 + 0*j**4 + 0*j**5 + 0*j**3 - 10/3*j**6 + 11. Find the second derivative of f(x) wrt x. -400*x**3 Let d = 33 + -31. Suppose -d*w - 2*l = -10, -2 - 2 = 2*w - 5*l. Find the first derivative of -10 + 9*a**w + 5*a**3 - 3*a**3 - 2 wrt a. 33*a**2 Let k(s) be the second derivative of s**3/6 + 11*s**2 - 3*s. Let q be k(-16). What is the first derivative of 7*y**4 - 1 + 0 + q + 0 wrt y? 28*y**3 Suppose 3*m = 4*v - m - 12, -5*v = -2*m - 6. What is the third derivative of 0*u**2 + v*u**2 - u**4 - 13*u**4 - 4*u**2 wrt u? -336*u Let m = -14 - -16. Let i be (-1 - 21)*(1 - m). Find the third derivative of 28*k**4 - 4*k**3 - i*k**4 + 4*k**3 + 6*k**2 wrt k. 144*k Let x be (-11)/(7/(-14) + -1 + 1). What is the second derivative of -23*i**3 - 12*i + 3*i - x*i + 5*i wrt i? -138*i Let q(b) be the first derivative of 2*b**3/3 + 3*b**2 - 6*b + 5. Let g be q(-6). Find the third derivative of -30 + 7*m**4 + g - 5*m**2 wrt m. 168*m Let o be 12/(-15)*(-2 - 3)*1. Find the second derivative of -4*z - 10*z**o - 4*z**4 - z wrt z. -168*z**2 Let c = 7 + 1. Let z = c - 3. Find the second derivative of -4*l + 0*l**5 + 3*l + l**z wrt l. 20*l**3 Let t be 20/(-30)*(-12)/2. Suppose 10 = -5*i, -t = -5*m - i + 14. What is the first derivative of 7 - m*c**3 + 10*c**3 - 2 wrt c? 18*c**2 Let w(o) = 2*o - 7 - o + 6 - 1. Let n be w(7). Differentiate 3*t**4 + 1 - n + 1 with respect to t. 12*t**3 Let m(l) be the first derivative of -l**4/4 - l**3 + 21*l**2/2 - 2*l + 46. Find the second derivative of m(w) wrt w. -6*w - 6 Let n(z) = -z**2 - z. Let f(g) = 5*g**3 - g**2 + g + 70. Let v(q) = f(q) - n(q). What is the first derivative of v(w) wrt w? 15*w**2 + 2 What is the derivative of 1059 - 244 - 352*j - 365 wrt j? -352 Let y(u) = u**2 + 13*u + 43. Let z be y(-14). Differentiate -10 + 0*l**3 + z + 3*l - 2*l + 3*l**3 with respect to l. 9*l**2 + 1 Let i = 86 - 83. Find the first derivative of 19*b**2 - 12*b**2 + 20*b**2 + 28 + i wrt b. 54*b What is the first derivative of 26 - 89*r + 186*r - 7*r**3 - 91*r wrt r? -21*r**2 + 6 Let x(s) = 2052*s**3 - 5453*s**2 + 323. Let l(p) = -38*p**3 + 101*p**2 - 6. Let b(t) = 323*l(t) + 6*x(t). What is the third derivative of b(z) wrt z? 228 Let b(c) be the first derivative of -c**4/6 + 5*c**3/6 + 5*c**2 + 2. Let z(d) be the second derivative of b(d). Differentiate z(q) with respect to q. -4 What is the second derivative of 86*j + 18*j**3 + 2*j**5 + 77 - 85*j - 19 wrt j? 40*j**3 + 108*j Let z(p) be the third derivative of 319*p**6/120 + 5*p**5 + 276*p**2. What is the third derivative of z(j) wrt j? 1914 Let n(x) be the second derivative of -x**4/12 + 7*x**3/3 - 131*x**2/2 - 28*x. Differentiate n(p) wrt p. -2*p + 14 Let m(p) be the second derivative of -p**5/10 - 7*p**3/3 - 137*p**2/2 - 31*p + 4. Find the first derivative of m(c) wrt c. -6*c**2 - 14 Suppose 0*h + h - 86 = 0. Find the third derivative of -69*m**5 + h*m**5 + 12*m**2 + 6*m**2 wrt m. 1020*m**2 Let h be 3 + (3 - (-6 + -1)). Let a(j) = -j - 19. Let s(u) = -u - 10. Let b(g) = h*s(g) - 6*a(g). Find the first derivative of b(f) wrt f. -7 Let c be (1/2)/((-2)/(-4)). Let i be c + (2 + 7)/3. Find the third derivative of 3*d**4 - 2*d**i - 6*d**4 + 7*d**2 wrt d. -120*d Suppose 2*u - 1 - 3 = 0. Let o(r) = r - 2. Let j be o(6). Differentiate 1 + 4*i**4 + 0 + i**4 - u*i**j wrt i. 12*i**3 Let x(q) = 345*q**2 + 5*q + 32. Let r(c) = -692*c**2 - 12*c - 62. Let w(v) = -3*r(v) - 7*x(v). Find the second derivative of w(h) wrt h. -678 Let w(u) = -u**2 - 7*u - 7. Let q be w(-5). Let x be 1 + -1 - q/(-1). What is the derivative of 0*r**2 - x + 7 - r**2 + 4 wrt r? -2*r Let z(n) be the second derivative of 0*n**3 - 33/2*n**2 + 33*n + 0*n**5 + 0 + 0*n**4 - 8/15*n**6. What is the first derivative of z(i) wrt i? -64*i**3 Let i(b) be the second derivative of -71*b**7/14 - 131*b**4/12 - b**2 + 141*b. Find the third derivative of i(t) wrt t. -12780*t**2 Let x(s) be the second derivative of -10*s**2 - 49/12*s**4 + 5*s - 3 + 1/6*s**3. What is the second derivative of x(l) wrt l? -98 Let g(t) = 2*t**2 + 7*t - 3. Let r be g(-6). Find the third derivative of -7*o**3 - r*o**2 - 2594 + 2594 wrt o. -42 Let f = -356 + 362. Suppose o = 3*d - 17, 5
{ "pile_set_name": "DM Mathematics" }
*y**2 + b*y and give b. -2 Express (k**3 + 3 - 3)*(-1 + 0 + 3)*(-4*k + 0*k + 3*k + (-5*k - k + 4*k)*(2 - 1 + 0) + k - k - 4*k) in the form i*k**3 + t*k**4 + f*k**2 + y + h*k and give t. -14 Rearrange 10*c - 6*c + 2*c + 21*c to l + j*c and give j. 27 Rearrange (1 - 2*x - 1)*(-3 + 1 + 6)*(1 - 5 + 5) to the form o*x + z and give o. -8 Express -2*c**2 + 2*c**2 + 3*c - c + c**2 as i*c**2 + j + d*c and give i. 1 Express (3 - 3 - 1)*(-3 + 3 - a)*(0*a**2 + 7*a**2 + 6*a**2) in the form t*a**3 + c*a**2 + k + b*a and give t. 13 Rearrange -2 - 2*h**4 + 0*h**4 + 0*h + 3*h**4 - h**2 - 3*h to the form i*h + a*h**4 + v*h**2 + y*h**3 + x and give a. 1 Rearrange 2*n - 2*n**2 + 3*n - 2*n + (0*n + 3*n - 5*n)*(3 + 1 - 16)*(-4 + n + 4) to z*n**2 + q*n + m and give z. 22 Rearrange -4*d**3 + 6*d**2 + d**3 - 122 + 125 + d**3 to v*d + u*d**3 + c*d**2 + q and give q. 3 Rearrange -3*g**3 - 8 + g - 2*g**2 + 0*g**3 - 3*g**3 + 7*g**3 to the form q*g + j*g**2 + p*g**3 + u and give j. -2 Rearrange (-2*p**3 + 0*p**2 + 0*p**2)*(0*p + 3*p - 5*p) + 15*p**4 + 17*p - 17*p to the form q + t*p**2 + u*p**4 + c*p + w*p**3 and give u. 19 Rearrange -4 - 4*u**2 + 1 + 10*u**2 to t*u**2 + n*u + v and give v. -3 Rearrange (-1 + 1 + 2)*(-3*z + 3*z + z) + (2*z + 0*z + 0*z)*(-3 - 5 + 5) to n + b*z and give b. -4 Rearrange -7*k**2 + 6*k**2 - 7*k**2 to z*k**2 + p*k + m and give z. -8 Rearrange 2*t + 2*t**4 - t**3 + 2 - 3 - t**4 to g*t**3 + b*t**4 + o*t**2 + h*t + q and give q. -1 Express -6965 + 115*x**2 + 6965 as w*x + j + g*x**2 and give g. 115 Rearrange (-1 - 2 + 1)*(-3*j + 4*j - 3*j)*(-3 - 2*j + 3) to the form a*j + f*j**2 + c and give f. -8 Express -3*s + 3*s - 2*s - 2 + 2 + 2*s + (-3 + 5 - 3)*(-1 + 1 + 2*s) - s + s + s - 2 - 20*s + 2 in the form i*s + o and give i. -21 Rearrange -4*n**2 - n**2 + 3*n**2 + (n**2 - 11*n**2 + 0*n**2)*(-2 + 3 + 1) - 2*n**2 + 6*n**2 - 3*n**2 to z*n**2 + r*n + i and give i. 0 Express (-1 + 5 - 1)*(4*t - 4*t - t) + 4*t + 0*t - 1 - 6*t in the form n + q*t and give n. -1 Express 6*j - 3*j**2 + 3*j**2 + 4*j**2 as h + s*j**2 + a*j and give a. 6 Express 3 - 2*b - 5 + 5*b + (2*b + 0*b - b)*(-2 + 2 - 2) as f + d*b and give d. 1 Express 5*u**3 - 6*u**3 + 10*u - 4*u as s*u**2 + n*u + p + i*u**3 and give n. 6 Rearrange -7 + 7 - 1 + 3*f**3 to the form l*f**2 + o*f + q*f**3 + y and give q. 3 Express -11*k + 1 + 2 + 0*k**3 + 3*k**3 + 5*k as t + o*k**2 + w*k + f*k**3 and give t. 3 Rearrange 3*y**2 + 5*y**2 - 5*y**2 to the form q*y + t*y**2 + b and give q. 0 Express (j - j - j)*(-2 + 1 + 2)*(0*j + 2*j - j) as m + x*j**2 + b*j and give x. -1 Express -3 + 21*w + 3 as q*w + h and give q. 21 Express 2*q**3 + 63 - 22 - 27 as k + x*q**3 + n*q**2 + b*q and give x. 2 Rearrange 0*x**2 + 5*x**2 - 4*x**2 + (5*x - 4*x + 2*x)*(x + 0 + 0) + 2*x - 2*x**2 - 2*x to n*x**2 + b + f*x and give n. 2 Express 18*k**3 - 2*k**4 - k**2 - 417*k + 417*k + (0*k**2 - 4*k**2 + k**2)*(5 - 5 - k**2) as j*k**4 + d*k**3 + a*k + n + l*k**2 and give j. 1 Express b + 21*b**2 - 46*b**2 - 2*b as a*b + w + j*b**2 and give a. -1 Express -10*k - 9*k + 71 - 73 in the form q + i*k and give i. -19 Express (3 + 2 + 3)*(4*d**2 + d**2 - 3*d**2) + (0 + 1 + 0)*(2*d**2 - 2*d + 2*d) in the form a + f*d + n*d**2 and give a. 0 Express (-2*z + 3*z**2 + 2*z)*(-z - 1 + 1)*(11 - 5 + 4) as a*z + g + w*z**2 + x*z**3 and give x. -30 Express 5*a**3 - 2*a**3 + 3763*a - 1 - 3763*a in the form u*a + r*a**2 + y + i*a**3 and give i. 3 Express (0*w + 3*w - 2*w)*(-2 + 3*w**3 + 2)*(-4 + 4 + 2) as l*w**4 + o + p*w**3 + t*w**2 + x*w and give p. 0 Rearrange n + 5 + 3*n**2 + 1 - 3 + 2*n**3 - n**4 to w*n + i*n**3 + o + d*n**2 + q*n**4 and give d. 3 Rearrange -10*k**2 - 3*k**2 + k**2 to the form q*k**2 + h*k + w and give q. -12 Rearrange 3 + 8*t**2 - 3 + 0 to the form l*t + w + h*t**2 and give h. 8 Express -2*y + y**2 + 4*y**4 + 56 - 56 in the form i*y**2 + c*y**4 + p + q*y + l*y**3 and give q. -2 Rearrange (-2*u**2 - 5*u + 5*u)*(5 + 2 - 2) - u + u - u**2 + (-u + u - u)*(4*u - u - u) - 2*u**2 - u + u to the form g*u**2 + k + x*u and give g. -15 Rearrange -115*c + 51*c + 106*c to n + f*c and give f. 42 Express (1 - 1 - 1)*(6*o + 0*o + 2*o) + 2*o + 2*o - 2*o + (-2*o - o + 4*o)*(-1 + 5 - 3) - 2*o - 1 + 1 in the form v + t*o and give t. -7 Express y - y**4 + 0 - 131*y**2 + 2 + 128*y**2 as j + q*y**3 + s*y**2 + z*y**4 + m*y and give q. 0 Express -2318 + 36*k**2 + 2318 + (-k + 1 - 1)*(-k + 3*k + 0*k) - k**2 + k**2 + k**2 in the form z*k + d*k**2 + f and give d. 35 Rearrange -166*u - 16*u**2 + 166*u + (3 + 1 - 2)*(2*u**2 + 1 - 1) to b*u**2 + k + h*u and give k. 0 Express (4 + 558*d + 4 - 557*d)*(-3 - 4 + 4) in the form g*d + o and give o. -24 Rearrange 2*v**4 - 2*v**2 - 1 - 3*v**4 + 9 - v + 2*v**4 to the form o*v**4 + i*v**2 + u*v + h*v**3 + y and give y. 8 Express (-2*i - i**3 + 2*i)*(1 - 2*i - 1) + (-11*i**3 + 3*i**3 + 3*i**3)*(-5*i + i + 2*i) as x*i**4 + h*i**2 + y*i**3 + j*i + v and give x. 12 Express -3*v + 2 - 8*v - 11*v + 25*v in the form j + f*v and give j. 2 Rearrange (-x - x + 0*x)*(-36*x**2 - 33*x**2 + 20*x**3 + 66*x**2) to the form b + r*x**3 + z*x**2 + j*x**4 + w*x and give r. 6 Rearrange 3 - 10*r**3 + 4*r**2 - 2*r**2 + 3*r + 8*r**3 to c + n*r + s*r**3 + b*r**2 and give b. 2 Rearrange -12 + 4*q**4 + 14 + 19*q**3 - 16*q**3 - 3*q**4 - q**2 to i*q**3 + k + p*q**2 + w*q**4 + t*q and give w. 1 Rearrange (-5*j + 3*j**2 + 5*j)*(-6*j + 7 - 7) + 4*j**3 + 2*j**3 - 4*j**3 + (2*j - 3*j + 3*j)*(2*j**2 - 2 + 2) to c*j + p*j**3 + w*j**2 + t and give p. -12 Express -98*h**2 - 8*h + 4*h + 4*h + 1 as m + q*h**2 + f*h and give q. -98 Rearrange 3*t**4 - 8*t - t**4 - 32*t**3 + 10*t to b*t**4 + s*t**3 + w + z*t**2 + k*t and give k. 2 Rearrange 33 + 21 + 17*b - 15*b to the form d + v*b and give d. 54 Rearrange -2*d**3 + d**3 - 2*d**3 + (2*d**2 + 3 - 3)*(d - 2*d + 0*d) - d + 3*d**3 + d + 3*d**3 - d**3 - 5*d**3 to the form k + r*d**2 + j*d + v*d**3 and give v. -5 Rearrange 5*d**4 + 3*d - 4*d + 3*d + 0*d**4 + 2*d**3 to o*d + y + x*d**4 + n*d**3 + w*d**2 and give n. 2 Rearrange -95*i**2 + 0 - 21*i + 0 + 97*i**2 to j*i + p + m*i**2 and give m. 2 Rearrange -8 + 3 - 5 - n + (3 - 3 - n)*(-4 + 3 - 1) to o + q*n and give q. 1 Express -3 - 4 + 5 - 6*q + 4 in the form l*q + i and give i. 2 Rearrange 72*a + 11*a + 6*a + 26*a + (a + 0*a - 3*a)*(0 - 3 + 1) to the form g*a + k and give g. 119 Express (-5*d - 2*d + d)*(2*d - 5*d + d) - 10*d**2 + 16*d**2 + 13*d**2 in the form x*d + v + k*d**2 and give k. 31 Express -7*o**2 - 2 - 7*o**2 + 2 as y*o**2 + s + g*o and give y. -14 Rearrange 2*d - 4*d - 8*d + d to s + j*d and give j. -9 Express (2*p**4 - 2*p + 2*p)*(0 - 3 + 4) + (-3*p**2 + 10*p**2 + 5*p**2)*(-2*p**2 - 2*p**2 + p**2) in the form b*p + v*p**3 + y + o*p**2 + l*p**4 and give l. -34 Rearrange (5*n - n - 2*n - 2)*(5 + 0 + 0) to the form w*n + p and give w. 10 Rearrange (-5*m + 9 - 9)*(1 - 2 + 0)*(-21 + 0 - 12) to the form p*m + q and give p. -165 Rearrange (15*o**2 + 162 - 162)*(-3*o**2 + 4*o - 4*o + (-4*o + 2*o + 3*o)*(-2 + 2*o + 2)) to the form a*o + s*o**2 + d*o**4 + q*o**3 + f and give d. -15 Rearrange (z**3 + z**3 + 0*z**3)*(2*z - 6*z - 3*z)*(1 - 6 + 3) to the form b*z**2 + v*z**4 + s + y*z**3 + t*z and give v. 28 Rearrange (2 - 2 + 2)*(13*b**2 - 9*b**2 + 9*b**3 - 5*b**2 + (b - 2*b + 3*b)*(2*b**2 - b + b)) to the form v*b**2 + r + h*b**3 + i*b and give v. -2 Express (-4 + 2 + 0)*(-1 - z + 1) - z + 5*z - 2*z + (4 - 2*z - 4)*(-5 - 2 + 3) + 3 + z - 3 as s + l*z and give l. 13 Express (-5*o**2 + 2*o**2 + 5*o**2)*(2 - 7 + 13)*(-2 + 0 + 1) as l*o + z*o**2 + j and give z. -16 Rearrange (3*w - 5*w + 0*w)*(-1 - 2 + 5 + (3 - 5 + 4)*(1 + 0 + 0) + 4 + 1 + 3) to the form m*w + t and give m. -24 Express 63*b - 1 + 1 - 61*b in the form w + z*b and give z. 2 Express (5 + 3 - 2)*(3*o - 6*o + o)*(2*o**2 - 4*o**2 + 3*o**2) as t*o**3 + q + g*o + d*o**2 and give t. -12 Express 3*z**4 + 15*z - 4 - 4*z**4 + z**3 + 5 - 3*z in the form t*z**3 + q*z**4 + g + j*z + i*z**2 and give q. -1 Express (-1 + 2 + 2)*((2 + 3 + 9)*(-2*j - j + 4*j) + (1 - 5 + 2)*(-1 + 1 + j)) as m*j + z and give m. 36 Rearrange -t + 4*t**3 - t**2 - 3*t**3 - 5 - 5 + 3*t to the form y*t**3 + c + r*t**2 + n*t and give c. -10 Express -4*v**2 + 11*v**2 + 7*v**2 as r + y*v + l*v**2 and give l. 14 Rearrange 0*w + 0*w + 2*w + (-7*w - 27*w
{ "pile_set_name": "DM Mathematics" }
+ 5*s = -m, 10*o - 5*o - 12 = 4*s for o. 0 Suppose -134*r + 1710 = 56*r. Solve -4*x - 10 = -g, 25 = 4*g - 4*x + r for g. 2 Let h = -94 + 88. Let v be 1*6*(-2)/h. Suppose v*d = -d - m + 20, -4*d + 15 = -m. Solve d*g + 12 = f, -4*g + 0*g - 9 = -f for g. -3 Let h be (-4)/((-2)/18*-1). Suppose -2*k + 52 = -5*a, -117*a - 5*k - 32 = -116*a. Let m be (12/h)/(2/a). Solve -m*v = -4*i - 5 + 23, -4*v = -2*i + 24 for v. -5 Let x = 9 + 68. Suppose -x = 8*s - 109. Solve 2*m - 5*t = s*m - 33, 18 = 2*m + 2*t for m. 4 Let u = 4 - -6. Let c be 81/(-9) + 63/7. Suppose 2*t + u = 2*j, 2*j + 2*t + 6 = -c*t. Solve 3*h - 2*z + 15 = 0, 3*z + 4 = -4*h + j for h. -3 Let q = 3108 + -3081. Solve 5*b = 2*w + 18 + 5, 5*b - q = -2*w for w. 1 Let z(y) = 3*y**2 - 6*y + 4. Let g be z(2). Let v(x) = -x**2 + 7*x - 9. Let w be v(g). Suppose w*r - 9 = 6. Solve h = -u - u + 9, -3*h = r*u - 24 for h. 3 Let t(m) = -m + 8. Let b be t(5). Suppose 657 = -13*v + 514. Let h be (-7)/3*3 - v. Solve g - 6*g + 10 = -b*y, 4*g - 8 = h*y for g. 2 Let i be 10/(-55)*(-8)/(-4)*33/(-6). Solve -i = -8*w + 10*w + q, -4*q - 4 = 4*w for w. -1 Let w(x) be the third derivative of x**4/12 + x**3/2 - 13*x**2. Let r be w(2). Suppose 12 = -p + r*p. Solve 0 = -p*b - c - 7, -c - 9 = 2*c for b. -2 Suppose -13*i = -15*i + 4. Let w be 210/63*6/4. Solve -i*f = -2*y + 5 + w, -y = 3*f - 1 for y. 4 Let i be (((-2)/(-2))/((-19)/437))/(22/(-66)). Solve 5*y = z + 24, -i*y - 4*z - 6 = -71*y for y. 5 Suppose 128*x + 2 = -3*x + 2. Let f(m) = -3*m - 1. Let u be f(-1). Solve u*y - 5*y + 2*g + 22 = 0, -y + 3*g + 19 = x for y. 4 Let u = -95 - -97. Suppose -u*y = b, 0 = -y - 1. Let m be (-168)/(-20) - (-6)/(-15). Solve d = c - m, -d + c = -b*c + 18 for d. -3 Suppose -4*p = 3*s - 11 - 25, 5*s + 5*p - 65 = 0. Suppose -5*i - 12 = -10*i - u, 4*i + 4*u - s = 0. Solve i*n - 5*g + 7 = 0, -n - g + 7 = -0*g for n. 4 Suppose -w - 3 = -6. Suppose 1 = -3*s - 4*n - w, 3*n + 3 = -3*s. Suppose 3*d + 0*d = 69. Solve -5*g = -4*x - x - 30, s = 3*g - 4*x - d for g. 1 Suppose -b = -5*j - 25, 35*b = 40*b + j - 21. Solve b*y - 30 = -4*i, 10*y - 7*y + 4 = 2*i for y. 2 Let t be (180/16)/((-20)/(-80)). Suppose 0 = 9*w + t - 108. Solve 4*p + 3*b + w = 0, -4*p + b = -0*p + 19 for p. -4 Let t(w) = -w**3 + 9*w**2 + 7*w + 33. Let v(d) = d**2 - 11*d + 28. Let l be v(9). Let c be t(l). Solve 6 = -5*a - 2*i - 9, a = -5*i - c for a. -3 Let c(h) = -h**2 + 52*h - 385. Let o be c(9). Let z be (-6)/3 - 0 - -9. Let b = z + -3. Solve t + 2 = -p, o*p + b = -2 for t. 1 Suppose -w + 3*w + 6 = 4*z, 2*z + 2*w + 12 = 0. Let o be ((-24)/28)/(z/14). Suppose -3 = 3*y - o. Solve 0 = -2*x - y + 5, -4*l - 24 = -4*x for l. -5 Suppose 26*k + 4946 = 24966. Let z be (k/(-21))/22*(-1 + -2). Solve -3*r + r = -2*l + 4, 5*r - 40 = -z*l for r. 3 Suppose 4*y = 4*a - 1248, 3*a + 5*y - 1570 = -2*a. Let c = a - 305. Solve -c + 2 = -h + 3*s, 0 = -s - 3 for h. -3 Let h = 20 + -24. Let g be (h - (-16)/2)*1. Solve -2 = 3*d - k - g, 2*d = 3*k - 1 for d. 1 Let s = -106 + 111. Let d = 8083 - 8081. Suppose -5*t + t + u + 19 = 0, -2*t - 3*u = -13. Solve -2*g + 4*v = d, g = -t*v + s - 20 for g. -5 Suppose -37*k - 153 = -190. Solve 0 = a - 4*p + 6*p - k, 0 = -3*p + 6 for a. -3 Let r be (-270)/162 - 10/(-6). Solve r = 4*p + 12, -6*p + 4*p = -3*h + 15 for h. 3 Let h be 1/(-6) + ((-356)/(-120) - 6/(-30)). Solve -2*l - 3*x - 12 = 0, 0 = h*l + 2*l + 3*x + 12 for l. 0 Let a = -337 - -363. Suppose 3*p = -5*q + a, -3*p + 17 = 3*q - 1. Solve -w + d - 18 = -q*w, 2*w + 5*d - 25 = 0 for w. 5 Let k(i) = i**2 + 46*i - 145. Let m be k(-49). Let y be (12 - -1) + 7 + -6. Let p be (-23)/(-7) - 4/y. Solve m*c - 4 = 4*o, 3*o - c + p = -1 for o. -2 Let l = 1480 - 1397. Let r be (64/3)/((-4)/12). Let c = l + r. Solve -2*j = 3*v - c, 3*v = -5*j + 14 + 11 for j. 2 Suppose 14*m - 68 + 334 = 0. Let q(v) = 7*v + 133. Let b be q(m). Solve 2*w - 3*i - 25 = 0, 4*w - 5*i + 25 - 70 = b for w. 5 Let d be (-1)/2*24/12. Let n be (d - 0)*(-7 + -14). Solve -10 = 4*r - 5*p - 1, -r - n = -5*p for r. 4 Let u(b) = -165*b + 8254. Let c be u(50). Solve -c*t = -d - 26, t + 2*d = -t + 18 for t. 7 Let v(k) = k**3 + 7*k**2 - 9*k - 2. Let x be v(-8). Suppose -j = j - x. Let l be 45/10*4/9. Solve -l*f + 1 = -z, -j*f - 16 = -5*f - 2*z for f. 3 Suppose 296*a + 276 = 290*a. Let c = -18 - a. Solve 6*f - d + c = f, -4*f = 3*d + 11 for f. -5 Let x be 15/2*2/3. Let q = -2648 - -2685. Solve r = -5*i + 20, 4*i - 8*i - x*r + q = 0 for i. 3 Let d be (-22 - -25) + 3/((-6)/(-2)). Solve -d*y = j - 21, -j + y = 4*j for j. 1 Suppose 0 = q - 3*f + 73 - 91, -3*f - 6 = 3*q. Solve 0 = 5*p + z - 17, -z + 4*z + 3 = q*p for p. 3 Suppose -11*w = 5*g - 6*w - 5, 4 = 2*g + 4*w. Let f be 90/(-195)*130/(-15). Solve -4*q + 2*h = -22, 2*q - f*h - 26 = -g*h for q. 3 Let s = -155 - -151. Let r be 7 + 5 - 30/(-24)*s. Solve r = -4*w - 3*a, 5*w + 3*a = 6*w - 17 for w. 2 Suppose -17 + 20 - 38 = -7*x. Solve 4*l = x*f + 37, l = 9*f - 8*f + 8 for l. 3 Suppose -3*w - 6*c = -7*c + 505, -3*w + 2*c - 500 = 0. Let y = -151 - w. Solve -5*x + i - y = 0, -2*x + 7 = -3*x + i for x. -3 Let t = -11 + 15. Let u = 177 + -172. Suppose -m = 4*m - 20, -u*m + 10 = -2*w. Solve 0 = -4*l + 3*l - t, -w*l = -k + 16 for k. -4 Suppose 1449 = 202*h + 35. Solve -w + 8 = -h*i + 2*i, 2*w - i - 7 = 0 for w. 3 Let v(b) = -b**2 - 321*b. Let j be v(0). Solve j = -3*a - i - 7, 2*i = 17*a - 20*a - 2 for a. -4 Let n = -42 - -43. Let y = 2 - n. Suppose 4*z - 15 + 3 = 0. Solve j - 8 = v, -z = -v - 3*j + y for v. -5 Suppose 34*d - 88 = 14*d - 24*d. Solve 0 = d*o - t + 3, -5*o = -4*t - t for o. -3 Let x(m) = -m**3 - 9*m**2 + 78*m + 350. Let w be x(-13). Solve -5*y + 10 = -2*d + w, 2*y = 2*d - 2 for y. 0 Let r = -85 - -87. Let t be (23 + -3)/r + (-5)/1. Solve t*o = -3*z - 39 + 14, -2*o - 10 = -5*z for z. 0 Let m(z) = -14*z**2 - 22*z + 20. Let w be m(-2). Solve 3*g + 19 = 8*g - 4*u, -w = -3*g - u for g. 3 Suppose 2*o - 5*b = -7*b - 46, -4*o = 3*b + 90. Suppose k = -3 - 16. Let a = k - o. Solve 4*f = 5*q + 8, 0 = -4*q + a*q + 3*f + 1 for q. -4 Let i be ((-7)/(42/(-20)))/((-2)/3). Let y = -8 - i. Let j be 76/18 - y*4/(-54). Solve -j*r - 16 = -5*d + 8, 0 = 4*r + 3*d - 8 for r. -1 Suppose 0 = -324*f + 308*f + 80. Solve -f*m - 8*h - 30 = -3*h, -3*m - 13 = 2*h for m. -1 Suppose -7*p - 8*p + 2575 = 10*p. Solve 2*j = -2*d - 6, -2*j - p + 125 = -5*d for j. 1 Let s(q) = 8*q**2 - 23*q + 20. Let k be s(1). Solve 4*i + p = -0*i + 8, k*i + p - 10 = 0 for i. 2 Let w = 158 + -156. Let p be w/(-24) + (-4439)/(-276). Solve 2*v - 20 = -3*v - c, 2*c = -4*v + p for v. 4 Let r(v) = -5*v**2 - 5*v - 3. Let c be r(3). Let a = 1 - c. Let t be (-2)/(-8)*a/4. Solve -3*m - t*g = -8, -g - 15 = 5*m - 0 for m. -4 Let u(p) = 76*p + 19. Let z be u(0). Solve 0 = 3*g + 5*i + z, 5*g + 85*i + 5 = 90*i for g. -3 Let a(t) be the first derivative of -37 - 1/2*t**2 - 15*t. Let j be a(-20). Solve 0 = -4*n + 3*i - 18, 4*i - 2 - 21 = j*n for n. -3 Let y(l) = -l**2 - 21*l + 24. Let z be y(-22). Let o be (10/4 + -3)/((-25)/200). Solve 2*k - o*k = -z*u - 20, -4*u - k = 15 for u. -5 Suppose -41*a - 203 = -654. Solve 0*i + 5*w = i - 14, 2*i + a = -3*w for i. -1 Let w = -1026 - -1030. Solve -t - 4*v - 5 = 0, v - 12 = w*t - 9 for t. -1 Let n = -8188 + 8192. Solve j = s - 239 + 246, j - n = 0 for s. -3 Let s be -7 - -6 - (-4 + 0). Suppose -20 = -5*y - s*i, 13*y - 12*y - 4 = -i. Solve 4*w - 4*f = 0, 2*f + 5 + 1 = -y*w for w. -1 Let f = -369 - -374. Solve -n + 11 = 8, 0 = -f*p - n + 28 for p. 5 Let a be 9 + (-4)/3 + (-176)/264. Solve -3*d + 27 = 3*z, a*d - 6 = -2*z + 8*d for z. 5 Let v(i) = 4*i**2 - 57*i + 16. Let g be v(16). Suppose g = 11*w + 21*w. Solve 4*z = -j - 1, -6 = -z - 3*j + w*j for z. 1 Let g = -2 + 20. Let h = g - 14. Let t = -1068 - -1093. Solve -t = -3*r + 2*d, d = r + h - 14 for r. 5 Let f = -1032 + 576. Let t be 77/15 + (10 - f/(-45)). Solve -c = 2*b - t, b + 5 + 3 = -4*c for c. -3 Suppose -35 = 84*w - 91*w. Solve -3*x = 0, 3*n = w*x + 1 - 16 for n. -5 Suppose 2*h = 4*o + 90, -4*h + h + 140 = -5*o. Let r be 1 + 3 - (3 + -2 + 53). Let s = r + h. Solve s*v + 3*l = 17, 0 = -v - 5*l + 4 - 5 for v. 4 Let l(g) = -22*g - 22. Let a be l(-12). Suppose 0 = 5*q + 4*x - 2*x - a, -5*q = -2*x - 238. Let d = -35 + q. Solve 3*f - d + 2 = v, 3*v - 4*f + 18 = 0 for v. -2 Let u(x) =
{ "pile_set_name": "DM Mathematics" }
7607 divided by -3? -7607/3 What is 215 divided by 1? 215 Calculate 189 divided by -9. -21 Calculate -7323 divided by -2441. 3 Divide -34 by -34. 1 -1645 divided by -4 1645/4 Divide -236 by -2. 118 Divide 186 by -6. -31 What is -10 divided by -1991? 10/1991 What is -911 divided by 15? -911/15 Calculate 2 divided by -365. -2/365 Calculate 324 divided by -81. -4 Calculate 22 divided by 11. 2 What is 17 divided by -35? -17/35 What is -42704 divided by 2? -21352 57 divided by 2 57/2 67 divided by 96 67/96 What is -207 divided by 6? -69/2 Divide 6 by -31. -6/31 -72 divided by 8 -9 -2 divided by 2328 -1/1164 Divide -1938 by 38. -51 Divide 5682 by 2. 2841 Divide -42 by -21. 2 -760 divided by 19 -40 Divide 5 by -168. -5/168 Divide 73 by 1. 73 -14645 divided by -2929 5 Calculate 772 divided by 2. 386 What is 408 divided by 5? 408/5 What is 0 divided by -329? 0 Calculate 104 divided by -13. -8 Calculate 2 divided by 1292. 1/646 Divide 1 by 832. 1/832 -80 divided by 4 -20 -990 divided by -55 18 -5964 divided by -4 1491 Divide -1320 by 33. -40 -31 divided by 7 -31/7 1440 divided by -3 -480 -685 divided by 5 -137 -11 divided by -24 11/24 6 divided by 4 3/2 What is 3 divided by -1486? -3/1486 Divide -1290 by -5. 258 Divide -6 by -452. 3/226 159 divided by -1 -159 What is 34 divided by 5? 34/5 Calculate -3225 divided by 3. -1075 Calculate -32 divided by 1. -32 What is 663 divided by -14? -663/14 Calculate 0 divided by 8974. 0 Divide -186 by 6. -31 7 divided by 40 7/40 Calculate 1474 divided by -22. -67 Calculate 3298 divided by 5. 3298/5 Calculate 314 divided by 157. 2 -147 divided by 94 -147/94 Divide -261 by 3. -87 What is 1771 divided by -253? -7 Divide 16092 by -5364. -3 What is 5 divided by 94? 5/94 -44 divided by 44 -1 What is 4 divided by 42? 2/21 Divide 234 by 4. 117/2 Calculate -4852 divided by -1. 4852 Calculate 9472 divided by -16. -592 -4 divided by -53 4/53 What is -385 divided by -77? 5 What is 315 divided by 63? 5 5 divided by -8 -5/8 -110 divided by -1 110 Calculate -202 divided by 5. -202/5 Divide -1140 by 5. -228 Calculate 251 divided by 5. 251/5 Calculate 14 divided by -8. -7/4 -1743 divided by -21 83 Divide 22 by -24. -11/12 -23698 divided by -289 82 Divide 2 by 12. 1/6 600 divided by -300 -2 -346 divided by 6 -173/3 Divide -3 by -143. 3/143 35838 divided by 2 17919 Divide 1000 by 2. 500 Calculate 0 divided by -60. 0 Calculate 3 divided by 82. 3/82 What is 2 divided by 143? 2/143 2121 divided by 101 21 Calculate -10280 divided by -5. 2056 Calculate 55 divided by 5. 11 What is 5 divided by -49? -5/49 Calculate -3 divided by 7. -3/7 What is 142 divided by 142? 1 What is 3 divided by 96? 1/32 Calculate 11067 divided by -1581. -7 -11190 divided by -373 30 4 divided by 62 2/31 What is -7722 divided by -78? 99 719 divided by -1 -719 Calculate -84 divided by -84. 1 Divide 2207 by 6. 2207/6 What is 0 divided by -104? 0 Divide 198 by -4. -99/2 Calculate -5593 divided by -47. 119 -96 divided by -12 8 Calculate 0 divided by 5634. 0 Calculate -66504 divided by -4. 16626 What is 0 divided by 208? 0 -429 divided by 4 -429/4 What is -2 divided by -3196? 1/1598 Calculate -558 divided by 9. -62 What is 258 divided by -6? -43 What is 4 divided by 112? 1/28 Divide 784 by -392. -2 Calculate 25 divided by -5. -5 Divide -11934 by 6. -1989 Calculate -3618 divided by 6. -603 4 divided by -2331 -4/2331 0 divided by 780 0 What is -402 divided by -402? 1 132 divided by -3 -44 602 divided by -2 -301 What is -5 divided by -563? 5/563 Divide -41350 by -3. 41350/3 -1 divided by -12 1/12 Divide -293 by 5. -293/5 -3 divided by 204 -1/68 Divide -5 by 54. -5/54 Calculate 3966 divided by -6. -661 Divide 3920 by -245. -16 Divide -1943 by -1. 1943 Calculate -60 divided by -4. 15 Divide 105 by 31. 105/31 What is 2604 divided by -21? -124 What is -576 divided by 96? -6 Divide 6786 by -174. -39 Calculate -4 divided by -2488. 1/622 Divide -1039 by 4. -1039/4 Calculate -410 divided by 205. -2 Calculate 1 divided by 1171. 1/1171 Divide 24 by 3. 8 What is 506 divided by 36? 253/18 Calculate -183 divided by 21. -61/7 Calculate 0 divided by -45. 0 Divide 1794 by 3. 598 Calculate 32 divided by -5. -32/5 Calculate 472 divided by 4. 118 Divide 816 by 4. 204 Divide 2379 by -3. -793 0 divided by -372 0 Calculate -14 divided by -5. 14/5 What is -128 divided by -1? 128 Calculate 10950 divided by 2. 5475 Divide 186 by 6. 31 What is 6786 divided by 2262? 3 Divide 42 by 9. 14/3 Divide -85 by -143. 85/143 What is 3438 divided by -5? -3438/5 What is 6 divided by 80? 3/40 Divide -54 by 27. -2 4890 divided by -163 -30 What is 333 divided by -111? -3 1152 divided by 3 384 What is -229 divided by -8? 229/8 Calculate 792 divided by 11. 72 Calculate 2928 divided by 8. 366 121 divided by 17 121/17 What is 232 divided by -29? -8 Calculate -11670 divided by 778. -15 Divide -23640 by -5. 4728 -518 divided by -2 259 Calculate 0 divided by 2. 0 -3393 divided by -39 87 What is 295 divided by -59? -5 Calculate 3 divided by 3309. 1/1103 -3690 divided by 41 -90 What is -170 divided by 2? -85 Calculate 1350 divided by 5. 270 692 divided by 24 173/6 Calculate 16184 divided by -4. -4046 -94 divided by 1 -94 Calculate -57 divided by -2. 57/2 What is 748 divided by 4? 187 Divide -9392 by 5. -9392/5 Divide 7 by 7. 1 390 divided by -5 -78 What is 2 divided by -3967? -2/3967 What is 235 divided by -5? -47 Calculate -51 divided by -10. 51/10 1540 divided by -2 -770 -276 divided by 3 -92 -6 divided by 114 -1/19 691 divided by -6 -691/6 -59 divided by 6 -59/6 Calculate -163 divided by -14. 163/14 307 divided by -1 -307 What is 4 divided by -139? -4/139 Divide -9916 by 1. -9916 Divide -1375 by 11. -125 What is 69360 divided by -6? -11560 What is -6208 divided by 3104? -2 Calculate 0 divided by -168. 0 -12 divided by 87 -4/29 100 divided by 6 50/3 1 divided by 105 1/105 Calculate -216 divided by 9. -24 Divide -33 by -3. 11 592 divided by -148 -4 Divide -228 by 6. -38 1176 divided by 4 294 -334 divided by -3 334/3 What is -5 divided by 247? -5/247 Calculate -7 divided by 72. -7/72 What is 42 divided by -23? -42/23 What is -8841 divided by -1? 8841 What is 783 divided by 783? 1 Calculate 1568 divided by -392. -4 Divide 1 by -561. -1/561 -14 divided by 7 -2 12 divided by 12 1 Divide 6675 by -1. -6675 91 divided by -1 -91 Divide -489 by -5. 489/5 Calculate 0 divided by -177. 0 Divide -147 by -7. 21 What is 5 divided by 98? 5/98 Divide -36 by 10. -18/5 Divide 3024 by 3. 1008 Divide 2400 by -4. -600 Calculate 2 divided by -30. -1/15 Divide -40 by -40. 1 What is 2124 divided by 3? 708 What is -71 divided by 5? -71/5 Divide 4005 by 801. 5 Calculate 5310 divided by -6. -885 What is 135 divided by 45? 3 Calculate 479 divided by -3. -479/3 528 divided by -2 -264 Divide -2338 by 1169. -2 What is 62 divided by 26? 31/13 -19 divided by 1 -19 Calculate 110 divided by 5. 22 Calculate 26 divided by 9. 26/9 Divide -4 by -1353. 4/1353 Divide -38 by -8. 19/4 Calculate -3034 divided by 41. -74 -3 divided by -352 3/352 Divide -190 by 3. -190/3 Divide -149 by -1. 149 What is 4 divided by 19? 4/19 Divide 26 by -3. -26/3 -6460 divided by 68 -95 52 divided by 1 52 74 divided by 5 74/5 194 divided by -97 -2 What is -12 divided by -14? 6/7 Divide 1120 by 160. 7 Divide 1953 by -4. -1953/4 Divide 2616 by 5. 2616/5 0 divided by 3909 0 Divide 0 by 41. 0 2110 divided by -211 -10 Divide 304 by -152. -2 119 divided by -5 -119/5 Divide -2 by -7. 2/7 Divide 1160 by -290. -4 What is 27 divided by -1? -27 What is 14 divided by 14? 1 255 divided by -17 -15 Divide -82 by 41. -2 What is 1 divided by 451? 1/451 16 divided by 15 16/15 Calculate -510 divided by -15. 34 What is -78 divided by -3? 26 1545 divided by -309 -5 Calculate 183 divided by -15. -61/5 Divide -4 by -38. 2/19 Calculate 10 divided by -81. -10/81 What is 9 divided by -749? -9/749 What is 2923 divided by -79? -37 Calculate -1950 divided by -650. 3 What is 7095 divided by 1419? 5 What is 3133 divided by -3? -3133/3 What is -3 divided by -98? 3/98 What is -335 divided by 4? -335/4 Calculate -425 divided by -5. 85 -18 divided by 24 -3/4 Divide 3 by -42. -1/14 2387 divided by 2 2387/2 Calculate -99 divided by -1. 99 Calculate 1405 divided by -5. -281 Divide -201 by 67. -3 -3 divided by 4484 -3/4484 W
{ "pile_set_name": "DM Mathematics" }
Let u be z(-3). Let d(q) = -6*q**2 + 7. Let j(h) = -11*h**2 + 3*h + 10. Let t(c) = c - 1. Let g(i) = j(i) - 3*t(i). Give u*d(b) - 4*g(b). 2*b**2 - 3 Let a(f) = -486*f - 61. Let l(j) = 243*j + 35. Calculate -4*a(c) - 7*l(c). 243*c - 1 Let o(a) = 2*a + 2. Let f be o(3). Suppose -k + 3*k + f = 0. Let g(u) = 1. Let y(s) = -14*s - 18*s - 4 - 12*s + 4*s**2 - 2*s**2 + 46*s. Give k*g(t) - y(t). -2*t**2 - 2*t Let u(s) = -5*s**2 + 141*s - 4. Let t(l) = -l**2 - l - 2. Calculate -2*t(j) + u(j). -3*j**2 + 143*j Let u(o) = -2*o**2 + 2*o. Let r(y) = 0*y - 2*y + 0*y + 2*y**2. Let i(a) = 6*a**3 - 2*a + 1. Let g be i(1). Give g*u(z) + 4*r(z). -2*z**2 + 2*z Let x(z) = -20*z - 20. Suppose -l = 3*l. Suppose 2*s - 22 - 2 = l. Let y = -29 + s. Let b(j) = 7*j + 7. Give y*b(f) - 6*x(f). f + 1 Let k(u) = u**2 + 4. Let b(r) = -4*r**2 - 15. Give -b(f) - 3*k(f). f**2 + 3 Let i(z) = -10*z**2 - 5*z - 3. Suppose h - 3*l - 12 = 3*h, -2*h = -4*l + 12. Let c(b) = 11*b**2 + 6*b + 4. Determine h*i(t) - 5*c(t). 5*t**2 - 2 Let g(l) = 7*l**2 - 7*l + 4. Let s(b) = b**2 - b + 1. Suppose -16*v - 30 = -15*v. Let y be (4 - -1)*5/(v/6). Determine y*s(p) + g(p). 2*p**2 - 2*p - 1 Let x(p) = -p**2 - 1. Let w(f) = 9*f + 166. Let g be w(-18). Let a(d) = 11*d**2 - 4. Give g*x(u) - a(u). -15*u**2 Let z(g) = -g - 2. Let p(a) = 2. Suppose 12*f = -17 - 43. What is f*p(s) - 4*z(s)? 4*s - 2 Let s(v) = v**3 + 3*v**2 + 4*v + 5. Let q(p) = -3*p**2 - 5*p - 4. Determine 5*q(i) + 4*s(i). 4*i**3 - 3*i**2 - 9*i Let s(g) = 5*g**2 - g. Let t(d) = 26*d**2 - 5*d - 1. Give 11*s(l) - 2*t(l). 3*l**2 - l + 2 Suppose -33 + 3 = 6*o. Let d(q) = q - 8. Let n(r) = -r + 4. What is o*n(w) - 3*d(w)? 2*w + 4 Let w(h) = -137 - 146 + 3*h**2 + 286. Let k(r) = -3*r**2 - 2. Calculate -3*k(a) - 2*w(a). 3*a**2 Let x(r) = -4*r**2 + 4. Let j(y) = -1. Suppose 41*v + 27 + 14 = 0. Give v*x(l) - 5*j(l). 4*l**2 + 1 Let x(l) = 46*l**3 + 7*l**2 + 7*l. Let a(m) = m**3 - m**2 - m. Give 14*a(j) + 2*x(j). 106*j**3 Let f(s) = -4*s**2 - 3. Let k = 29 + -29. Suppose l + k*l = 7. Let r(y) = -5*y**2 - 4. What is l*f(c) - 6*r(c)? 2*c**2 + 3 Let z be 70/22 - 4/22. Let y be 3*(15/z + -4). Let k(a) = 2*a**3 + 4*a**2 + 4*a + 4. Let q(v) = 2*v**3 + 3*v**2 + 3*v + 3. Give y*k(l) - 4*q(l). -2*l**3 Let s(v) = v**3 - v**2 + 2*v + 5. Let q(j) = -j**3 + j**2 - 2*j - 2. Calculate -3*q(p) - s(p). 2*p**3 - 2*p**2 + 4*p + 1 Suppose -7*x + 6*x = -3. Let l(m) = x + 4*m - 3*m - 2 - 2*m. Let o(v) = -3*v**2 - 18*v + 18. Give 18*l(i) - o(i). 3*i**2 Let k(t) = -6*t**2. Let x(d) = -4*d**2 + 2*d**2 - 4*d**2. What is 5*k(a) - 6*x(a)? 6*a**2 Let z(y) be the second derivative of -13*y**3/6 + 3*y**2 - 4*y - 6. Let s(f) = 14*f - 7. What is -6*s(j) - 7*z(j)? 7*j Let b(p) = -2*p**2 + 4*p - 2. Let c(s) = -s**2 + 5*s - 3. Suppose 4*x + 3*m = 8*x - 3, -3*x = -m + 4. What is x*b(j) + 2*c(j)? 4*j**2 - 2*j Let d(m) = -m + 73. Let p(f) = 1. Calculate -d(y) + 5*p(y). y - 68 Let a(p) be the second derivative of 3*p**2 - 1/6*p**3 - 49*p + 1/3*p**4 + 0. Let o(g) = 4*g**2 - g + 5. Determine -5*a(k) + 6*o(k). 4*k**2 - k Let i(u) = 5*u - 1. Let r(v) = -14*v + 2. Let n = 103 - 59. Let w = n - 36. Determine w*i(q) + 3*r(q). -2*q - 2 Let i(b) be the first derivative of b**3/3 - b**2/2 - 86. Let r(h) = -2*h**2. Give -3*i(k) - r(k). -k**2 + 3*k Let p(n) = 0*n - 4 + 10 + 12*n. Let s(a) = -11*a - 5. Let j(q) = 5*p(q) + 6*s(q). Let f(m) = m + 1. Determine 4*f(t) + j(t). -2*t + 4 Let y(v) = 1852 - v**2 + 6*v + 8*v - 1821. Let p be y(16). Let d(r) = r - 1. Let a(l) = 4*l - 7. Determine p*a(t) + 6*d(t). 2*t + 1 Let o(y) = 1 - 5 - 5 + 34 - 2*y - 24. Let i(g) = 7*g - 5. Determine -2*i(d) - 9*o(d). 4*d + 1 Let n(p) = -8*p - 13. Let d(m) = -4*m - 6. What is 5*d(l) - 3*n(l)? 4*l + 9 Let s(b) = -23*b**3 - 34*b**2 + 17*b + 256. Let a(w) = -8*w**3 - 12*w**2 + 6*w + 85. Give 17*a(x) - 6*s(x). 2*x**3 - 91 Let s(i) be the first derivative of 3*i**2/2 - 5*i + 24. Let m = -59 - -63. Let k(c) = -3*c + 6. What is m*k(u) + 5*s(u)? 3*u - 1 Let o(j) = -2*j**2 - 5*j + 5. Let s = -180 + 185. Let b(z) = z**2 + 2*z - 2. Give s*b(m) + 2*o(m). m**2 Let n(p) = -3*p - 1. Let l(d) = -9*d - 2. Let b(q) = -9*q - 2. Let r(s) = -3*b(s) + 4*l(s). Suppose 36 = 11*t + 3. Determine t*r(f) - 8*n(f). -3*f + 2 Let z(x) = -x**2 + 6*x + 9. Let w(c) = -c**2 + 2*c + 4. Determine -7*w(m) + 3*z(m). 4*m**2 + 4*m - 1 Let l(x) = -6*x**2 - 5*x - 4. Suppose 4*s - 19 = -3*n, -4*s = -5*n - 9*s + 30. Let t(i) = 3*i**2 + 3*i + 2. What is n*t(b) + 3*l(b)? -3*b**2 - 2 Suppose 26 = -3*d + 2*x + 6, x = -3*d - 35. Let n = 12 + d. Let p(y) = 0*y + y - 7 + 13 - 5 - y**2. Let u(v) = v**3 - 3*v**2 + 3*v + 3. Give n*u(s) - 6*p(s). 2*s**3 Suppose -x - 3*y = -y + 8, -5*x + 4*y = -30. Let p(s) = x + 1 - 2 - 2. Let b(j) be the third derivative of -j**4/24 + j**3/6 + 23*j**2. Determine b(f) - p(f). -f + 2 Let x(r) = r**3 + 5*r**2 + 8. Let d(o) = o**3 - 5*o**2 - 5*o + 42. Let i be d(4). Let a(m) = -m**3 - 4*m**2 - 7. Give i*a(q) + 5*x(q). -q**3 + q**2 - 2 Suppose 6*w + 3*x + 13 = 10*w, -w = x - 5. Let d(t) = 17*t**3 + 13*t**2 + 7*t - 9. Let j(c) = -8*c**3 - 6*c**2 - 3*c + 4. What is w*d(m) + 9*j(m)? -4*m**3 - 2*m**2 + m Let v(j) = -j + 2. Let z(b) = 8*b - 7. Let h(d) = -4*v(d) - z(d). Let t(f) = 11*f + 3. Determine -17*h(y) - 6*t(y). 2*y - 1 Suppose 54*i - 6 = 53*i. Let w(b) = 8*b**2 - 5*b - 6. Let g(t) = -23*t**2 + 14*t + 17. Calculate i*g(p) + 17*w(p). -2*p**2 - p Let d be (-6)/(-9)*6/4. Let a(z) be the second derivative of -5*z**3/6 + 5*z**2/2 + 29*z - 3. Let l(c) = -c + 1. Give d*a(m) - 6*l(m). m - 1 Let q(y) = -1. Let u(j) = -394*j - 18. Determine 36*q(n) - 2*u(n). 788*n Let v(l) = -6 + 14*l - 27*l + 10 + 1. Let h(m) = -6*m + 2. Calculate 5*h(p) - 2*v(p). -4*p Let f(s) = 1 - s**3 - s + 0 + 0*s**3 + 0*s**3. Let t(g) = -9*g**3 - 4*g + 4. Suppose 28*d - 16 = 32*d. Give d*f(w) + t(w). -5*w**3 Let m = 9 + -6. Let s(q) = 2*q**2 - 4*q + 8. Let k(r) = 2*r**2 - 3*r + 7. What is m*s(f) - 4*k(f)? -2*f**2 - 4 Let k(c) = -808 + 276 - 4*c + 267 + 274. Let i be ((-16)/6)/(2/(-9)). Let m(x) = -10*x + 22. What is i*k(r) - 5*m(r)? 2*r - 2 Let w(p) = -25*p**2 + 4*p + 1. Let s(m) = -25*m**2 + 6*m + 2. Determine 2*s(j) - 3*w(j). 25*j**2 + 1 Let z(b) be the first derivative of -b**3 - 2*b**2 + 4*b - 2. Let m = -16 + 12. Let j(x) = -x + 1. What is m*j(o) + z(o)? -3*o**2 Let b(l) = l**2 + l + 1. Let y(s) be the first derivative of -2*s**3 + 3*s**2/2 + 3*s + 109. Calculate 3*b(h) - y(h). 9*h**2 Let o(v) = -v**2 - 6*v - 3. Let n(t) = -t**2 - 5*t - 3. Calculate 5*n(g) - 4*o(g). -g**2 - g - 3 Let h(l) = -21*l**3 - 8*l - 8. Let q(s) = 33*s - 360. Let r be q(11). Let m(j) = -7*j**3 - 3*j - 3. Calculate r*h(d) - 8*m(d). -7*d**3 Let l(f) = -f + 1. Let y(t) = 19*t - 2 - 38*t + 21*t. Give 6*l(d) + 4*y(d). 2*d - 2 Suppose t + 4 = 7. Let x(b) = 34*b - b**3 - 34*b - 3*b**t. Let r(f) = 0*f**3 - 2*f**3 + 4*f**3. What is -11*r(d) - 6*x(d)? 2*d**3 Let w(q) = -5*q**3 - 2*q**2 - 2*q. Let x(c) = -6*c**3 + 2*c - 4*c**2 - 3*c**3 - 6*c. Let n(r) = 2*r**2 - 22*r + 45. Let i be n(7). Determine i*w(j) + 6*x(j). j**3 - 2*j**2 - 2*j Let h(s) = -s + 1. Let q = -275 + 269. Let y(p) = 6*p - 3. Calculate q*h(x) - 2*y(x). -6*x Let h(d) = -73*d - 6. Let i(n) = 13869*n + 1139. Calculate -1139*h(o) - 6*i(o). -67*o Let h(c) = -27*c - 7. Let o(w) = 26*w + 6. Calculate 4*h(i) + 5*o(i). 22*i + 2 Let p(i) = -12*i + 2. Let c(k) = -10*k + 2. Determine 4*c(o) - 6*p(o). 32*o - 4 Let a(q) = -12*q**2 + 7*q. Let l(n) = n**2 - n. Let t = -409 + 415. What is t*l(z) + a(z)? -6*z**2 + z Let k(u) = 6*u**3 - 27*u**2 - 22*u**2 - 6 + 43*u**2. Let t(q) = -12*q**3 + 13*q**2 + 13. Determine 13*k(p) + 6*t(p). 6*p**3 Let i(u) = 50*u**2 + u - 4. Let s(w) = -99*w**2 - w + 7. Give 7*i(v) + 4*s(v). -46*v**2 + 3*v Let u(b) = b + 3. Let g(j) = 2*j + 5. Let h = 349 + -344. Determine h*u(v) - 3*g(v). -v Let f(k) = -23*k**3 + 16*k**2 + 7*k - 1. Let y(p) = -12*p**3 + 7*p**2 + 3*p. Calculate -2*f(b) + 5*y(b). -14*b**3 + 3*b**2 + b + 2 Let f(g) = g**3 + 2. Let p = 1809 + -1807. Let h(i) = -1. What is p*h(k) + f(k)? k**3 Let a = -156 - -163. Let q(b) = -5*b**2 + 17. Let v(g) = -2*g**2 + 8. Determine a*v(d) - 3*q(d). d**2 + 5 Let g(p) = -80*p + 8. Let x(y) = 77*y - 10. What is 6*g(a) + 5*x(a)? -95*a - 2 Let z(o) = 66*o**3 + 8*o**2 - 46. Let f(d) = 16*d**3 + 2
{ "pile_set_name": "DM Mathematics" }
z(g) = 66*g - 286. Let a(t) = -2*t + 8. Let l(b) = 143*a(b) + 4*z(b). Give h(l(d)). 110*d - 2 Let b(n) = -n + 268*n**2 - 155*n**2 - 159*n**2 + 58*n**2. Let w(v) be the third derivative of v**5/30 - 2*v**2. Calculate b(w(i)). 48*i**4 - 2*i**2 Let i = -39 + 65. Let b(q) = 3*q**3 - 5*q**2 + 3*q + 5. Let m be b(3). Let v(n) = 26*n**2 + i*n**2 - m*n**2. Let f(l) = -8*l**2. What is f(v(j))? -32*j**4 Let x(f) = 690*f + 7. Let r(l) = 12695*l. Give r(x(a)). 8759550*a + 88865 Let x(b) = 3*b. Let r(f) be the third derivative of 19*f**5/60 - 2086*f**2 - 2*f. Determine r(x(u)). 171*u**2 Let q(z) be the first derivative of -z**5/40 - 85*z**3 - 54. Let y(k) be the third derivative of q(k). Let r(n) = -7*n**2 - 1 + 1. Determine r(y(w)). -63*w**2 Let c(f) = 47*f - 1. Let a(b) = -b**3 - 5*b**2 - b + 50. Let q be a(-6). Let u(k) = -q*k + 84*k + 5*k. Give u(c(i)). -141*i + 3 Let v(q) = -12. Let j(m) = m + 24. Let s(d) = -j(d) - 2*v(d). Let y(w) = -47*w - 19. Calculate s(y(c)). 47*c + 19 Let g(p) = -1924978*p. Let y(k) = -4*k**2 + 10*k. Calculate g(y(t)). 7699912*t**2 - 19249780*t Let d(n) = -8855*n**2 - 4. Let i(b) = 507*b. Determine i(d(w)). -4489485*w**2 - 2028 Let z(u) = 184800*u. Let i(a) = -1605*a. Determine i(z(s)). -296604000*s Let f(w) = -8*w**2. Let m be (-5)/1*(335/(-25) - -13). Let o(k) be the first derivative of -4/3*k**3 + 0*k + 0*k**m - 21. Calculate f(o(n)). -128*n**4 Let q(o) = o**2. Let p(v) = 39174078*v**2. What is q(p(x))? 1534608387150084*x**4 Let q(v) = 2. Let f(g) = -g + 6. Let k(y) = f(y) - 3*q(y). Let j(w) be the second derivative of w**3/3 - 13*w. Determine j(k(s)). -2*s Let c(p) = 9276734*p**2. Let i(o) = 3*o**2. Calculate i(c(h)). 258173381120268*h**4 Let j(z) = -z**2. Let w(i) be the second derivative of 0*i**3 + 0 - 75/4*i**4 + 3*i + 0*i**2. Calculate w(j(u)). -225*u**4 Let i = 175 + 17. Let m(g) = 192 - i - 6*g. Let n(x) = -12*x. Let h(s) = -4*s. Let v(w) = -7*h(w) + 2*n(w). What is m(v(y))? -24*y Let v(s) = 252 - 256*s**2 + 258*s**2 + 5. Let x(m) = 11*m**2. Determine v(x(h)). 242*h**4 + 257 Let y(l) = 632*l + 3. Let x(k) = -19*k**2 - 3. Calculate x(y(c)). -7589056*c**2 - 72048*c - 174 Let h(n) = -1413*n**2 - 1418*n**2 + 4253*n**2 - 1415*n**2. Let v(x) = 2*x - 1724. Give h(v(j)). 28*j**2 - 48272*j + 20805232 Let t(f) be the second derivative of -f**7/360 - f**4/4 + 3*f**3 - 24*f. Let g(x) be the third derivative of t(x). Let p(u) = 7*u. What is g(p(c))? -343*c**2 Let x(s) = 40*s + 1. Let q be (-524)/(-1 + 0 + -1). Let j(o) = -262 + q + o**2. Give j(x(b)). 1600*b**2 + 80*b + 1 Let i(j) = -802*j - 1444*j**2 + 802*j. Let l(p) = -2*p. Give i(l(a)). -5776*a**2 Let l(i) = -2*i**2 - 5*i**2 + 0*i**2. Let z(n) be the first derivative of -7*n**2/2 + 2679. Calculate z(l(g)). 49*g**2 Let n(v) = 15187*v**2 + v + 1. Let p(s) = 3*s. Give p(n(d)). 45561*d**2 + 3*d + 3 Let o(f) = -265*f**2. Let k(b) = 68767 - 68767 + 3*b. What is o(k(d))? -2385*d**2 Let d(i) = i + 20. Let v(u) = -66*u - 1375. Let r(c) = 275*d(c) + 4*v(c). Let q(y) = -116*y. Give q(r(f)). -1276*f Let z(y) be the first derivative of -4478*y**3/3 - 267. Let u(p) = -p**2. Determine z(u(d)). -4478*d**4 Let r(q) = -54*q**2. Let j(v) = 109*v**2 + 101*v**2 - 168*v**2. Determine j(r(u)). 122472*u**4 Let q(h) be the second derivative of 5*h**4/12 - 16*h**2 + 1055*h. Let f(c) = -7*c. Determine q(f(m)). 245*m**2 - 32 Let z(l) be the second derivative of -73*l**3/6 - 901*l + 2. Let u(d) = 3*d**2 - 10. What is z(u(n))? -219*n**2 + 730 Let h(l) = -90*l + 32. Let u(z) = -34*z + 12. Let a(x) = 3*h(x) - 8*u(x). Let r(g) = 5149*g. Calculate r(a(c)). 10298*c Let h(g) = 378837*g**2 - 25*g. Let d(o) = 6*o. What is h(d(v))? 13638132*v**2 - 150*v Let h(i) be the second derivative of 0*i**3 + 0 - 7/12*i**4 + 0*i**2 + 5*i. Let g(w) be the second derivative of -w**3/6 - 1069*w. Give g(h(c)). 7*c**2 Let v(n) = 24*n + 8. Let s(g) = -3 + 3 - 5 + 0 - 26*g - 1. Let w(b) = 4*s(b) + 3*v(b). Let k(q) = q. Calculate w(k(o)). -32*o Let h(u) = -5546 + 5546 + 11*u. Suppose 2*r = 0, t + 4*r + 0 - 2 = 0. Let n(j) = 2*j - t*j + j. Determine h(n(z)). 11*z Let t(v) be the first derivative of v**2/2 - 100. Let d(c) = -4162*c + 2080*c + 2078*c. Determine d(t(p)). -4*p Let k(z) = -2016 + 10*z - 2014 + 4030. Let i(p) be the third derivative of p**5/6 + 4*p**2. Calculate k(i(r)). 100*r**2 Let q(y) = 20*y + 58 + 32*y + 22*y - 76*y. Let f(o) = -3*o. Give f(q(h)). 6*h - 174 Let l(q) = 4*q**2. Let a(n) = 14*n**3 - n**2 + n - 1. Let c be a(1). Let i(r) = -15*r**2 - 5*r**2 - c*r**2 + 0*r**2. Calculate l(i(m)). 4356*m**4 Let w(o) = -o**2. Let m(l) = -43*l - 293. Let g be m(-7). Let y(j) = -26 + g*j - 39 - 12*j + 10 + j. Determine y(w(k)). 3*k**2 - 55 Let b(k) = 1123*k + 1. Let n(v) = -39*v**2 - 1. Determine b(n(l)). -43797*l**2 - 1122 Let l be (-10)/15 - 2/6. Let t be 0/(l*(3 + 0)). Let i(z) = t + 4*z**2 - 1 + 1. Let y(c) = 2*c**2. Calculate i(y(u)). 16*u**4 Let x(u) = -100*u. Let n(i) be the first derivative of -i**2/2 + 3*i - 51. Let q(l) = -3*l + 12. Let k(w) = 12*n(w) - 3*q(w). What is x(k(p))? 300*p Let b(m) be the third derivative of 0*m**4 - 1 + 0*m + 1/30*m**5 + 0*m**3 - 11*m**2. Let o(r) = 36*r. What is o(b(i))? 72*i**2 Let c(b) = -15*b. Let a(n) = 15*n**2 + 390*n - 2. Calculate a(c(f)). 3375*f**2 - 5850*f - 2 Let q(f) = 4*f**2 - f + 1. Let m(h) = -580*h**2 - 4 + 4*h + 557*h**2 + 0*h. Let n(r) = m(r) + 4*q(r). Let u(l) = 22*l. Calculate n(u(s)). -3388*s**2 Let y(q) = -8578*q**2. Let w(d) = -38734*d**2 + 19372*d**2 + 19364*d**2. Determine y(w(r)). -34312*r**4 Let l(x) = 195081*x**2 - 27*x + 1. Let i(u) = -2*u. What is i(l(w))? -390162*w**2 + 54*w - 2 Let z(u) = 8*u**2 - 66*u + 22. Let g(l) = l**2 - 9*l + 3. Let p(q) = 22*g(q) - 3*z(q). Let y(w) = 244*w**2. Determine p(y(d)). -119072*d**4 Let x(z) = -47*z + 15*z**2 + 28*z**2 - 13 + 11*z - 44*z**2. Let u(h) = -h. Give x(u(y)). -y**2 + 36*y - 13 Let q(j) = 13*j. Let m(a) = 1487*a - 370. Calculate m(q(z)). 19331*z - 370 Let m(r) = 42 + 10*r + 42 - 84 - 13*r. Let g(h) be the first derivative of 7*h**2/2 + 2*h - 1. What is m(g(c))? -21*c - 6 Let b(j) = -3683*j. Let g(n) = -109*n**2 + 7. Calculate g(b(z)). -1478529301*z**2 + 7 Let n(x) = -888*x. Let t(u) = -2*u - 30. Let l(w) = 9*w + 150. Let c(y) = l(y) + 5*t(y). Calculate c(n(g)). 888*g Suppose n = 32 + 73. Let y(t) = t**3 + 5*t**2 + t + 7. Let w be y(-5). Let i(h) = n + w*h - 219 + 114. Let g(c) = -12*c. Determine i(g(o)). -24*o Let u(j) = -3*j + 16. Let k(v) be the third derivative of 1/12*v**4 + 0 + 0*v**3 - 79*v**2 + 0*v. Determine u(k(s)). -6*s + 16 Let w be 77/4 + 1/(-4). Suppose -100*k + 391 + 109 = 0. Let h(n) = -w + 19 - k*n + 8*n. Let d(q) = -2*q**2. Calculate d(h(b)). -18*b**2 Let b(v) = 235*v + 4. Let c(o) = -13*o**2 + 8*o + 36. Let h(z) = -50*z**2 + 30*z + 135. Let r(q) = 15*c(q) - 4*h(q). Calculate b(r(l)). 1175*l**2 + 4 Let w(l) = -244871615*l. Let p(a) = -a**2. Determine w(p(o)). 244871615*o**2 Suppose 0 = -38*p + 4289 + 41919. Let d(h) = 18*h**2 - 1216*h + p*h. Let r(o) be the first derivative of -3*o**2/2 + 1. Calculate d(r(g)). 162*g**2 Let c(h) = -384*h**2 - 80*h. Let v(l) = 29*l**2 + 6*l. Let s(t) = -3*c(t) - 40*v(t). Let p(x) = 2*x**2 - 14. Give s(p(a)). -32*a**4 + 448*a**2 - 1568 Let y(p) = -p**2. Suppose 3*n = 3*d - 3, -5*n + 11 = 3*d - 24. Suppose -76 = -n*a - 4*x, -x = x. Let f(i) = -a - 5*i - 17 + 36. What is f(y(w))? 5*w**2 Let c(l) = 391*l**2 - 2066. Let t(u) = -41*u. Calculate t(c(o)). -16031*o**2 + 84706 Let d(o) = 18*o**2. Let z(k) be the second derivative of -k**4/24 + 26*k**2 + 108*k. Let l(q) be the first derivative of z(q). What is d(l(a))? 18*a**2 Let p(a) be the third derivative of a**5/60 - 2*a**2. Let b(l) be the second derivative of -l**3/6 + 4*l**2 - 637*l. Give b(p(c)). -c**2 + 8 Let h(f) = -271*f**2 + 9. Let r(o) be the third derivative of -o**4/24 - 217*o**2 + 11*o - 2. Calculate r(h(b)). 271*b**2 - 9 Let j(f) = 5*f**2. Let o(g) = 31*g - 10. Let i(t) = -286*t + 92. Let z(b) = -2*b + 1. Let h(u) = -i(u) - 4*z(u). Let p(k) = 5*h(k) - 48*o(k). Give j(p(r)). 1620*r**2 Let h(t) = -3*t**2. Let n(o) = -19623*o + 310. Let v(l) = 503*l - 8. Let g(y) = 4*n(y) + 155*v(y). Calculate h(g(p)). -833187*p**2 Suppose 0 = 6*v + 1040 + 520. Let u be v/(-100) + (-3)/5. Let d(s) = 10*s**2 + 29*s + 2*s**u -
{ "pile_set_name": "DM Mathematics" }
ppose 0 = -4*x + 5*j + 743, -5*x = -x + 2*j - 750. Let z be (24/(-20))/((-4)/(-20)). What is the units digit of x/(-33)*(z + 0)? 4 Suppose 0 = -2*g - 4, 13 = b - 3*g - g. Suppose -w - 36 = -b*l, -4*w = -0*l - l - 8. What is the units digit of 13/(4 - 30/l)? 2 Suppose -4*h - 6763 = b - 54373, 5*b = 30. What is the units digit of h? 1 Let x(n) = -16*n**2 + 1. Let l be (-1 + 0)/((-7)/(-21)). Let t be x(l). Let b = -50 - t. What is the units digit of b? 3 Let u(b) = -b**2 - 3*b - 3. Let s be u(-3). Let l be s/(-9)*3*-1 - -1. Suppose -5*t + 146 + 174 = l. What is the tens digit of t? 6 Let d be (7/(7/(-4)))/((-4)/8). Let t(s) = 37*s - 36. What is the tens digit of t(d)? 6 Suppose -3*q + 7*q = 16. Let f be (-2 + 3 + -16)/(6/(-2)). Suppose 872 = f*g - 3*j + 2*j, 702 = q*g - 3*j. What is the hundreds digit of g? 1 Suppose -70314 = -3*v - 2*h, 4*v - 9*h + 4*h = 93775. What is the thousands digit of v? 3 Suppose -48*c = -39*c - 6336. What is the tens digit of c? 0 Suppose -5*c = -3*m + 2*m - 735, 3*m + 577 = 4*c. Let t = -243 + c. Let j = t - -148. What is the tens digit of j? 5 Let n = -1755 + 7240. What is the thousands digit of n? 5 Suppose 4*h - 14417 = -0*y - 5*y, 0 = -4*h + 5*y + 14447. What is the units digit of h? 8 Let b = 74952 + -41318. What is the tens digit of b? 3 Let s = 180 + -122. Let a = s + -52. Suppose 0*u - a*u + 36 = 0. What is the units digit of u? 6 Suppose -4*y + 0*y + 2*o + 26 = 0, 2*o + 2 = y. Let s = 41 - y. What is the tens digit of s? 3 Let f(d) = 13*d + 316. Suppose v = -3*x + 59, 4*v = 5*v - 3*x - 59. What is the units digit of f(v)? 3 Suppose -3*y = 3*i - 255, 0*y - y + 5 = 0. Let k(o) = -o**3 - 11*o**2 - 9*o + 3. Let h be k(-10). Let j = h + i. What is the tens digit of j? 7 What is the ten thousands digit of 2215262/49 - (9 - (-60)/(-7))? 4 Let n = -650 - 4550. What is the units digit of (84/7)/(12/n*-5)? 0 Let o(d) = d**2 - 18*d + 3. Let j be o(18). Suppose 5*n = 5*c + 5, -c - 4*c - j = -3*n. Suppose 2*w + y = 457, 4 = -y - n. What is the hundreds digit of w? 2 What is the thousands digit of ((-3178)/21)/(12/(-2790)) - (5 + -2)? 5 Suppose -3*a = 4*v - 12, 9*v + 5*a + 15 = 14*v. Suppose -v*l = 8*i - 9*i + 103, -l - 5 = 0. What is the tens digit of i? 8 Let o be 3 + ((-14)/(-1))/1. Let d = 33 - o. What is the tens digit of -4 - (d/4 - 55)? 4 Let u(a) = 9*a**2 - 21*a + 5. Let z be u(3). Suppose 832 = z*p - 10*p. What is the tens digit of p? 6 Suppose 0 = -f + 6, -27*f - 74031 = -3*a - 24*f. What is the ten thousands digit of a? 2 What is the units digit of 16/(-40)*-7715 - -11? 7 Let f = -21010 - -29815. What is the hundreds digit of f? 8 Suppose 0 = 21*u + 265*u - 529672. What is the thousands digit of u? 1 Let x = 20 - 20. Suppose x = 4*n - 178 - 1018. Let p = n + -179. What is the tens digit of p? 2 What is the units digit of ((-6)/(-4))/(630/3702300)? 5 Let i be 1/3 + 136/6. Suppose 37 = 14*r - 13*r + 4*g, -r + 33 = 3*g. Suppose -r*m = -i*m + 78. What is the units digit of m? 9 Let q = -27571 - -41033. What is the tens digit of q? 6 Let t be (-10)/(60/27)*(-2)/1. Suppose 18*b - 6399 = t*b. What is the units digit of b? 1 Let y(v) = 5522*v**2 + 753*v - 2255. What is the thousands digit of y(3)? 9 Let r(s) = 3*s - 65. Let f be r(24). What is the tens digit of (8/(-6))/(f + (-6690)/954)? 0 Suppose 0 = 5*d - 3*l - 47, -9 = -3*d - 9*l + 6*l. Suppose -d*n + 5397 = -4*n + 3*g, 2*n - 2*g - 3614 = 0. What is the tens digit of n? 0 Suppose 695*m + 18841 = 656*m + 697363. What is the thousands digit of m? 7 What is the units digit of ((-6)/7)/(-3) + (-3 - 413673/(-21))? 6 Let d be 930 + 11/(-13) + 10/(-65). Suppose -4*n - 4*w + d = -w, -n + 221 = 3*w. What is the tens digit of n? 3 Suppose -13*z = 303 + 61. Let i be 2/((-8)/z)*(-8)/(-14). What is the tens digit of (-43)/i*6*-2? 2 What is the tens digit of (-2*8095/15)/(13/(-78))? 7 Let o = -6166 - -33469. What is the ten thousands digit of o? 2 Let x(f) = -f - 1. Let r(b) = -2*b**2 + b - 3. Let o(t) = -r(t) + 2*x(t). What is the tens digit of o(-9)? 9 Suppose -5*k + m + 35 = 4*m, 2*k - 28 = -4*m. Suppose 3*c + 1707 = 2*h, c + k*c = -5. What is the tens digit of h? 5 Let x = -1651 + 9143. What is the thousands digit of x? 7 Let z = -539 + 543. Suppose m + 1077 = p, -p + 3*m = z*p - 5383. What is the thousands digit of p? 1 Let w(y) = y**3 + 9*y**2 - 12*y - 9. Let k be w(-10). Let v(z) = 4*z - k - 27*z + 10 - 14. What is the units digit of v(-8)? 9 Let i = 75 - 42. Let y = i + 43. Let t = 154 - y. What is the units digit of t? 8 Let n be ((-2)/(-4)*-2)/(1/(-27)). Let t(a) = 1 + 9 + 5 + n*a. What is the units digit of t(3)? 6 Let r be -68*(3/(-5))/((-4)/5). Let h = -54 - r. Let k(j) = 7*j + 28. What is the units digit of k(h)? 7 What is the ten thousands digit of (323/19 - 1) + 19212? 1 Let f be (174/18 - 7)*(56 - 2). Let q = f + -45. What is the units digit of q? 9 What is the units digit of 1502*(-3)/(-2)*(-250)/(-15)? 0 Suppose 5*b - 19182 = -2*c, -3*c + 22*b + 28773 = 20*b. What is the thousands digit of c? 9 Suppose -809097 = -19*k - 576001 + 790263. What is the thousands digit of k? 3 Let z be (84/49)/(0 - 10/(-35)). What is the units digit of (3 + 5 + (2 - z))*193? 2 Suppose -3*v - 4*b = -5*b - 17, 45 = 5*v - 5*b. Suppose -3*c + 485 - 68 = v*j, 5*c + 2*j = 695. What is the units digit of c? 9 Suppose -5*n = -14*l + 404482 + 35415, -4*l + 5*n + 125667 = 0. What is the units digit of l? 3 What is the thousands digit of (-39)/((-507)/(-59098))*-5? 2 Suppose 4*t + 3*h = -0*h + 57, -45 = -5*t + 5*h. Suppose 4*n + 2*l = 568, -t = -7*l + 4*l. What is the hundreds digit of 2/((-2)/4*(-4)/n)? 1 Suppose 0 = 14*w - 17*w. Let n be -1*(-2 + 3) - w. What is the tens digit of n/((-45)/4641) - 2/15? 0 Let h = 66042 + -30410. What is the ten thousands digit of h? 3 Suppose 3*u - 33 = 4*b, 1 = -5*u + 4*u. What is the hundreds digit of 626 - ((-5)/(-10) - b/2)? 6 Let w(o) = 1. Let d(p) = p + 2. Let h(g) = -4*d(g) - 36*w(g). Let j be h(-11). Suppose -7*k + 843 + 809 = j. What is the tens digit of k? 3 Suppose 0 = 14*p + 23223 - 100363. What is the hundreds digit of p? 5 Let p = -358 + 200. Let h = p + 238. Suppose -5*r + h = -3*r. What is the units digit of r? 0 Let r be 22/3*7575/50. Suppose -11*z + 165 = -r. What is the hundreds digit of z? 1 Let w(s) = s**3 + 44*s**2 + 83*s - 31. Let o be w(-42). Suppose f - 2*v - 329 = 0, -f + 12*v - o*v + 329 = 0. What is the units digit of f? 9 Let u(j) = -2*j**3 - 7*j**2 - 6*j + 7. Suppose -18 = 3*o + 3*w, 3*w = 2*o + 2*o + 24. Let t be u(o). Suppose 3*d - t = 8. What is the units digit of d? 7 Let z(v) = 483*v**2 + 105*v - 481. What is the tens digit of z(7)? 2 Let p be 7 + (7 - 7) + -4. Suppose 896 = p*x + 5*f - 60, 4*x = -5*f + 1273. What is the hundreds digit of x? 3 Let h = -11936 - -20421. What is the tens digit of h? 8 Suppose 4*h - 148059 = -5*o, 3*h = -10*o + 2*h + 296111. What is the units digit of o? 1 Let k = -2140 - -18762. What is the units digit of k? 2 Let f(o) = -o**3 + o**2 + 24*o + 2103. What is the thousands digit of f(0)? 2 Suppose -8*a + 344 = -4*a. Suppose -2*g - a = -22. Let s = g + 55. What is the tens digit of s? 2 Suppose -2*r = 2*r. Suppose r = 4*o - 4*u - 228, 5*o - 4*u = -6*u + 292. What is the tens digit of (2 + 3/(-2))*o? 2 Let u(s) = 23*s + 3. Let n be u(0). Suppose r = 2*v + 131, n*v = -5*r + 6*r - 130. What is the hundreds digit of r? 1 Suppose 79 = -3*r + 85. Suppose 1811 = 5*s + 3*x - 0*x, x + 720 = r*s. What is the tens digit of s? 6 Let q(d) = d**2 - 7*d - 34. Let w = 242 - 220. What is the tens digit of q(w)? 9 Suppose 92573 = 11*k + 2*k. What is the tens digit of k? 2 Let p = 15638 - 6246. What is the thousands digit of p? 9 Let q be (3 + 1155/(-12))/((-3)/12). What is the tens digit of q/2*(-36)/(-18)? 7 Suppose -2651*h + 41090 = -2637*h. What is the thousands digit of h? 2 Suppose 13*c - 225 = -2*c. Suppose -n + c = 2*n. Suppose n*z - z = 556. What is the tens digit of z? 3 Suppose -4*y + 452 + 70 = -2*f, -2*y + 3*f + 259 = 0. Suppose 0 = -n + 4*r - 2*r + 65, 0 = 2*n - r - 133. Let w = y - n. What is the tens digit of w? 6 Let t = 389 - 596. What is the hundreds digit of t/36 + 5 - 8950/(-8)? 1 Let k(g) = g**3 - 4*g**2 - 11*g + 2. Let f be k(6). Suppose -6*v + f*v - 2 = 0. What is the tens digit of -1 + (-
{ "pile_set_name": "DM Mathematics" }
-2*o**3 + 1 - 1) + 2*o**4 + 0*o**4 - 3*o**4). -5*o**5 Expand (-3*q + 5*q - 3*q)*(q + 3*q - 6*q)*((4 - 1 - 4)*(-2*q**2 + 0*q + 0*q) + 7 + 7*q**2 - 7) - q**4 + 5*q**4 - q**4. 21*q**4 Expand (-3 + 63*q + 3 + 12*q)*(1 + 0 - 2). -75*q Expand -5*b**3 + 3*b**3 + 3*b**3 + (b**2 + 0*b**2 - 2*b**2)*(0 + b + 0) + 0*b**3 + 4*b**3 - 2*b**3 - b**3 - 2*b**3 + 2*b**3 + 2*b**3 - 2*b**2 - 5 + 2 + 1. 3*b**3 - 2*b**2 - 2 Expand (-3*y + 3*y + y**3)*(0*y - 3*y + 2*y) - y**4 - 1 + 1 - 5 - 11*y**3 - 10*y**3 + 19*y**3 - 2*y**4. -4*y**4 - 2*y**3 - 5 Expand (2 - 1 - 2)*((3 - 3 - 1)*(0*l + 4*l - 3*l) + 1 + 1 - 3 + 3*l). -2*l + 1 Expand (m + 4*m - 4*m)*(2 - 2*m - 2) + 17 + 0*m**2 + 4*m + 0*m**2 - 2*m**2. -4*m**2 + 4*m + 17 Expand 3*r - 4*r - 3 + 2*r + (1 - 4 + 2)*(-4*r + 5*r + 7*r). -7*r - 3 Expand -g**5 - 4 + 2 - 12*g**4 + 11*g**4 + 7*g**5 - 3*g**5 - 3*g**5 + (2*g**2 - 2*g**2 + 2*g**3)*(2*g**2 + g**2 - g**2). 4*g**5 - g**4 - 2 Expand (6*d**2 + 28 + 2*d - 28)*(2*d - 2*d + d + (-1 + 1 - 2)*(2*d - 5*d + 2*d)). 18*d**3 + 6*d**2 Expand (2*a - 2 + 2)*(-3 + a + 3) + 3*a**2 - 3 + 9*a**2 + 2. 14*a**2 - 1 Expand (6 + 1 - 4)*(-2 + 2*f**4 + 0*f**5 + 5*f**5 - 3*f**5). 6*f**5 + 6*f**4 - 6 Expand (-l - l + l)*(-67*l - 174 + 174). 67*l**2 Expand 4*x**2 - 2*x**2 - x**2 + (1 + 3 - 1)*(-x**2 - 3 + 3) + (-2 + 2 + x**2)*(3 - 5 + 5). x**2 Expand ((-2*n - 2*n + 2*n)*(8 + 2 - 3) + 4*n + 0*n - 3*n)*(-1 + 4 - 1). -26*n Expand (b - b - 2*b**3)*(-2*b + 3*b + b)*(16 + 3 + 0). -76*b**4 Expand (-2*g + 0 + 0)*(-3*g**3 - 5*g**2 + g**2 + 2*g**2). 6*g**4 + 4*g**3 Expand (2*z + 2*z - 2*z)*(4*z**3 + z**2 - z**2) + z**4 - 3*z**4 + z**4. 7*z**4 Expand ((1 - 1 - 3)*(-2*t + 4 - 4) - 2*t + t - t)*(0*t**4 + t**4 - 4*t**4). -12*t**5 Expand (12*g**4 - g**4 - 5*g**4)*(2 - 2 + 2*g). 12*g**5 Expand (2*r**2 + 0*r**2 - 4*r**2)*(5*r - r + 0*r). -8*r**3 Expand (2*o**2 + 3*o - 3*o)*(22*o**2 + 2*o**2 + 6*o**2). 60*o**4 Expand (-5 + 0 + 4 + r)*((-5 - 1 + 4)*(-1 + 2 - 2) + 2 + 1 - 4 - 1 + 4 + 0). 4*r - 4 Expand (u**3 - u**3 + 2*u**3)*(1 + 3 + 2 + (-2 - 2 + 3)*(1 + 0 + 1)). 8*u**3 Expand (2*u - 4*u + 4*u)*(-4 + 3 + 0) + 52*u - 118*u + 55*u. -13*u Expand (-1 + 7 - 2)*(q - q + q). 4*q Expand (-2 + 1 - 2)*(-2 + b**3 + 2)*(2*b - 4 + 4). -6*b**4 Expand (2*u + 4*u - 4*u)*(4 - 3 - 4 + (-8 - 4 + 4)*(-4 - 1 + 4)*(2 + 2 - 6)). -38*u Expand (v + 2*v - 2*v)*(3*v**4 + v**4 - 2*v**4) + 18*v**2 - 18*v**2 - 5*v**5. -3*v**5 Expand -6*l**5 + 3*l**5 + 0*l**5 + (4*l**3 - 5*l**3 + 3*l**3)*(-4*l**2 + 2*l**2 + l**2) - 5*l**5 + l**5 - l**5 + 2 - 2*l**5 - 2 - 2*l**4. -12*l**5 - 2*l**4 Expand 5*v**3 - 4*v**3 - 3*v**3 + (-3 + 3 - v)*(v**2 + 2 - 2)*(-2 + 12 - 2). -10*v**3 Expand (-i - 2*i + 2*i)*(i**2 + 5*i**2 - 3*i**2 + (-3*i + 0*i + i)*(-8 + 8 + 8*i)). 13*i**3 Expand 0*p - 6*p - 2 - 6*p + (4 - p - 4)*(-1 + 0 - 1) - 2 - p + 2 - 1 + 1 - 2*p. -13*p - 2 Expand -6*t + 2*t + 3*t + 3*t + 4*t - 6*t + (3 + 2*t - 3)*(-1 + 0 + 2) - t + t + t + (0 - 2*t + 0)*(0 + 0 + 1). t Expand (5 - 2 - 2 + (2 - 3 + 2)*(-4 + 0 + 6))*(-2 + 1 + 7)*(2*c - c + 0*c). 18*c Expand -w**5 - w**4 + w**4 + (-2 - 2 + 6)*(-2*w**5 + 2*w**3 - 2*w**3). -5*w**5 Expand (-12*i - 10*i + 25*i)*(2*i**2 + 2*i**2 - 2*i**2). 6*i**3 Expand (3 + 1 - 3)*(v**4 + v**4 - v**4)*(3 - 3 + 3*v). 3*v**5 Expand (0*a - 2*a + 1 + 4*a)*(-2*a + 8 + 6*a - 2*a). 4*a**2 + 18*a + 8 Expand (f + f - 3*f + 2)*((0 - 2 + 0)*(-1 - 2 + 1) + 17 + 19 - 22). -18*f + 36 Expand (4*r - 2*r - 5*r)*(2*r**2 - r**3 - 2*r**2) - r**4 - 2*r**2 + 2*r**2. 2*r**4 Expand (-1 + 1 - 1)*(z - z + 2*z) - z + 0*z + 0*z + 8*z - 4*z + 0*z. z Expand (-r + 3*r - 4*r)*(r - 3 + 3) - r**2 - 3*r**2 - r**2. -7*r**2 Expand (-1 + 0*v + 5*v - 2*v)*(2*v**2 - 2 + 2). 6*v**3 - 2*v**2 Expand (-3 + m + 3)*(-4*m + 2*m**2 + 4*m) - 2*m**2 - 1 + m**3 + 0*m**3 - 1. 3*m**3 - 2*m**2 - 2 Expand (-2*r + 0*r - r)*(2*r - 2*r + 4*r)*(r - r + r). -12*r**3 Expand (-4 + 4 + 3*d)*(1 + 0 + 0 - 1 + 1 - 1 + (-2 - 4 + 5)*(-2 + 1 + 3)). -6*d Expand (-4*l + l + l)*(5*l**2 - 7*l**2 - 3*l**2) - l**3 + 0*l**3 - l**3. 8*l**3 Expand (-18 - 2*u**2 + 35 + 0*u**2)*(-3*u + 3*u - 2*u)*(2 + 0 + 0). 8*u**3 - 68*u Expand (0 + 1 - q + 3*q)*(-5*q**4 - 5*q**4 + 5*q**4). -10*q**5 - 5*q**4 Expand (28 + w - 28)*(-2 + 1 - 1). -2*w Expand 5*o**2 - 5*o**2 - 2*o**3 + (-2*o**2 - 2*o**2 + 2*o**2 + 0*o - o**2 + 0*o + (-1 + 3 - 1)*(-o**2 - 4*o**2 + 4*o**2))*(-3 + 3 - 1)*(2*o + 0*o - 3*o). -6*o**3 Expand 2*o - o**3 - 2*o + 4*o**3 - 4*o**3 - 2*o**3 - 3 - o**3 + 3 + (o**2 - 1 + 1)*(5*o - 3*o + 0*o) + 2*o**3 + o**2 + o**2 - 3*o**3. -3*o**3 + 2*o**2 Expand -6*c**5 + 60*c**3 - 60*c**3 + ((-2 + 3 - 2)*(0*c**5 - 4*c**5 + c**5) + 2*c**5 + 3*c - 3*c)*(0 - 5 + 3). -16*c**5 Expand 0*t**5 - t**5 + 2*t**5 + (-4*t + 4*t + 2*t**4)*(-3*t + 4*t + t) + 6*t**5 - 4*t**5 + 3*t**5. 10*t**5 Expand ((1 + x - 1)*(-3*x + 4*x - 2*x) + (-8 - 4 - 6)*(-4*x**2 + 3*x**2 + 0*x**2))*(-2*x + 6*x - 3*x). 17*x**3 Expand (-2 - 2 + 3 + (-1 + 3 - 1)*(-1 + 1 + 2) + 1 + 0 - 2 + 1 - 1 + 2)*(-4*j**5 + 0 + 0) + (-1 + 0 + 2)*(-2*j**5 + 3*j - 3*j). -10*j**5 Expand 2*m + 2*m - 2*m + (-2*m + 5*m - 2*m)*(-1 + 1 - 1) + 0*m - 4*m + 2*m. -m Expand -2 - m**3 + 2 + (-5*m + 2*m + 15*m)*(3*m**2 + 4*m**2 - 5*m**2) + 2*m - 2*m**3 - m - 2*m. 21*m**3 - m Expand 0*s + 0*s - s**2 + (3*s - 5*s + 6*s)*((-3*s + 0*s + 2*s)*(3 - 5 + 1) - s - s + 5*s). 15*s**2 Expand 25*z + 5*z - z + (3 - 4 - 1)*(-6*z + 3*z + 2*z). 31*z Expand 3*i**2 - 2*i**2 - 2*i**2 - 2*i + 2*i**2 - 4*i**2 + i + 4*i**2 - 5*i**2 + 3*i**2 + (-3 + 3 - i)*(0*i + 15*i + i). -17*i**2 - i Expand -2*d + 0*d + 4*d**5 - d**5 + (3*d**2 + 3*d**4 - 3*d**2)*(-1 + 1 + 2*d). 9*d**5 - 2*d Expand (3 + 1 - 2)*(-3*h**3 + h**3 + h**3). -2*h**3 Expand (-t + 2*t + 2*t)*(0 - 5 + 3) + 0*t - 3*t + 2*t - 5*t + 2*t + t. -9*t Expand (0 + 2 - 4)*(-v**5 + 2*v**5 + 0*v**5) - v**5 + 4*v**5 + v**5. 2*v**5 Expand 66*r**5 - 2819 + 2819 + (-1 + 1 - r**4)*(2 - 2 + r) + 0 + 0 + r**5. 66*r**5 Expand (4*i + 4 - 4)*((-2 + 3 + 1)*(-i + 0*i - 2*i) + 0 + 0 - 3*i). -36*i**2 Expand -3*m**2 + m**2 + 4*m**2 + (-1 - 1 + 3 + (2 + 1 - 2)*(2 + 0 + 0) - 3 + 2 + 3)*(-m + 11*m**2 + m). 57*m**2 Expand (-18 - 2 + 8)*(2*b**4 + 0*b**4 - b**4). -12*b**4 Expand (2*u**4 - 3 + 3)*(0*u + 2*u - u) + u**5 + 0*u**3 + 0*u**3 + 0 + 0 + 2*u**5 + (3*u**2 + 2 - 2)*(7*u**3 + 9*u - 4*u**3 - 2*u**3). 8*u**5 + 27*u**3 Expand (2*f + 2*f - f)*(3*f - 4*f + 7*f) - 4*f**2 + 0*f**2 + 3*f**2. 17*f**2 Expand 2*y + 4*y**2 - 2*y + (0*y + y + 0*y)*(y - 6*y + 2*y). y**2 Expand -3 - w + 3 + (-w + 6*w - 2*w)*(3 + 3 - 5) - w - 3 + 3. w Expand (2 + 2*j**2 - 6*j**2 + 2*j**2)*(11*j**3 - 67*j**3 - 67*j**3). 246*j**5 - 246*j**3 Expand (-5 + 3 + 1)*(3*z + z + 4 - 3*z). -z - 4 Expand (-11*s**2 + 11*s**2 - s**4)*(5*s + 0*s - 3*s) - 6*s**5 - 3*s**5 + 4*s**5. -7*s**5 Expand (-2*z - 4*z + 4*z)*(2*z - 2*z + 2*z**3) + 0*z**4 + 4*z**4 - 2*z**4. -2*z**4 Expand (0*t - t + 3*t)*(2 + t**3 - 2). 2*t**4 Expand (-11 + 11 - 14*s)*(0*s**2 + s**2 - 2*s**2) - 1 + 2*s**3 + 1 + 2*s**3 + 0*s**3 - 4*s**3 + (-2 - 3 + 3)*(s**3 + 0*s + 0*s). 12*s**3 Expand (0*i**3 + 4*i**3 - 3*i**3)*(2 + 0 - 4)*(-2 - 1 + 2). 2*i**3 Expand (-u + u + u + u**2)*(-28 + 47*u + 28). 47*u**3 + 47*u**2 Expand (-f**3 - 1 + 1 + 1)*(4*f**2 + 20 - 9 - 8). -4*f**5 - 3*f**3 + 4*f**2 + 3 Expand (1 - 1 - y)*(-2 - 3*y**2 + 2) - y**3 + 1 - 1 - 2*y**3 - y - 3*y**3 + 2 + y**3. -2*y**3 - y + 2 Expand (5*w**2 - 2*w**2 - 4*w**2)*(-2*w + 3*w + w) - 2*w**3 + w - w + 7*w + 9*w - 14*w**3 - 18*w. -18*w**3 - 2*w Expand (s - 3*s + s)*(-s**2 + s**2 - 2*s**3) - 4*s**4 - s**4 + 7*s**4 + 70*s**4 - 1116*s + 1116*s + s**4 - 4*s**4 + s**4. 72*s**4 Expand -3*x**4 + 4*x**4 - 9*x**4 + (2*x**3 - x**2 + x**2)*(0 + 2*x + 0)*(2 - 1 + 3). 8*x**4 Expand 6*o**2 + 32 - 32 - 2*o**2 - 2 + 2 + (o + 0*o + o)*(-2*o + 5*o - o) + 4*o**2 - 2*o**2 + 0*o**2. 10*o**2 Expand 6*k**5 + 10 - 10 + 3*k**4 - 3*k**4 - 4*k**5 + 1 - k**5 - 1 + (-2*k**5 - 2*k**2 + 2*k**2)*(-4 + 0 + 3) + 3 + 2*k**5 - 3. 5*k**5 Expand -3*k**3 + 2*k**3 + 5*k**3 + 4 - 4 + k**3 + (3 - 3 - k)*(2*k**2 + k**2 - 5*k**2) + (0*k**2 - 4*k**2 + 5*k**2)*(2 - 2 + 2*k). 9*k**3 Expand (-2*l + 2 - 2)*(3 - l + 2*l - 4*l). 6*l**2 - 6*l Expand o - 6*o + 2*o + 0*o - 2*o + 0*o + (-3*o + 0*o + 5*o)*(-2 + 2 + 2) + (-4 - 1 + 3)*(-o - 3 + 3). o Expand (2*z + 0*z - 9*z + (2 + 2 - 1)*(0 + 2*z + 0))*(2*z + 0*z + 0*z). -2*z**2 Expand (0 - 3 + 1)*(-6*g - 7*g**2 + 6*g
{ "pile_set_name": "DM Mathematics" }
it of v? 5 Let w = 34925 + 26073. What is the units digit of w? 8 Let c(h) = h**2 - 13*h + 36. Suppose 0 = -14*r + 71 + 55. Let t be c(r). Suppose -3*j + 4*n = -407, -7*n + 2*n - 10 = t. What is the tens digit of j? 3 What is the tens digit of 40/(-56) + 189060/35? 0 Let x(g) = -16*g**3 - 14*g**2 - 3*g + 26. Let h(j) = -7*j**3 - 7*j**2 - j + 13. Let m(y) = -7*h(y) + 3*x(y). What is the units digit of m(-7)? 1 Let t = -6 - -11. Suppose -4*k - 180 = -4*v, 0 = t*v - 2*v + 4*k - 135. Suppose 3*r - 171 = -3*x, -v = -0*x - x - 5*r. What is the units digit of x? 0 Let o(l) be the first derivative of 32*l**3/3 + 2*l**2 + 2*l + 16. Let f be o(-2). Suppose -7*b + 123 = -f. What is the tens digit of b? 3 Let a(n) = -n - 26. Let c be a(-6). What is the units digit of ((-39)/15)/(4/c*1)? 3 Suppose 0 = 361*u - 362*u + 2*s + 2180, -u + 5*s + 2198 = 0. What is the thousands digit of u? 2 Let c(w) = -w**3 - 8*w**2 + 4. Let j be c(-8). Let g(z) = 7*z**3 + 4*z**2 - 5*z + 1. Let v be g(j). What is the tens digit of (-2)/(-5) + v/5? 9 Suppose t + 504 = -2*i + 2580, -5203 = -5*i + 4*t. Let l = i - 727. What is the hundreds digit of l? 3 Let z(q) = q - 9. Let c be z(9). Suppose 3*t + 4*p = 1190, 5*p + c*p = 25. What is the hundreds digit of t? 3 Let v be 8 + -2 - (-257244)/13. Suppose 45*a - v = 11301. What is the units digit of a? 1 Suppose -5*v = 2*q - 4*q - 33725, 2*v + 3*q - 13490 = 0. What is the tens digit of v? 4 Let t = 104 - 80. What is the tens digit of t + (-5)/25*5/(-1)? 2 Suppose 11*i - 15*i + 4*t = 11352, -11355 = 4*i - 5*t. What is the units digit of (-158)/5*i/126? 1 Suppose -3*w - 5886 = -2*q + 10530, q + 3*w - 8172 = 0. What is the thousands digit of q? 8 Let l = -151 + 145. Let q(g) = -128*g + 46. What is the tens digit of q(l)? 1 Let f be 7/(-3 - (-3 - (-2)/(-92))). Let q(p) = 25*p**3 - p**2 + 5*p + 5. Let g be q(-2). Let u = g + f. What is the hundreds digit of u? 1 Let f(t) = -t**3 + 3*t**2 + 5*t - 12. Let n be f(3). Let w be 2590/n + (-16)/48. Suppose -5*i - 263 = -w. What is the hundreds digit of i? 1 Let d be (-14)/(-28)*((-1)/(-1) - -49). Let a be 2/5 - ((-3215)/d - -1). Let r = a + 37. What is the tens digit of r? 6 Suppose 3*o + 124 = -47. Let f = 233 - 250. Let q = f - o. What is the tens digit of q? 4 Let q = -17 + 19. Suppose -o + 22 = -q. Suppose 0 = -6*f + 66 - o. What is the units digit of f? 7 Suppose 0 = -16*m - 4*m - 14754 + 45574. What is the units digit of m? 1 Suppose -6 = 4*b + 2, -3*c = b - 2203. Let m = 1185 - c. Suppose -5*j + m - 55 = 0. What is the tens digit of j? 7 Let f(v) = v**2 - 2*v + 55. Let h be f(0). Let c = -57 + h. What is the units digit of 38 - (-3 + 3)/c? 8 Let v = -6228 - -25658. What is the hundreds digit of v? 4 Let h be (2 + (-138)/15)*(-1610)/(-21). Let o = -390 - h. What is the units digit of o? 2 Suppose -30066 = -5*g + 3*f + 33510, -63573 = -5*g + 4*f. What is the units digit of g? 7 Suppose -3*r - 39024 = -3*x, -4*x - r + 57231 = 5169. What is the hundreds digit of x? 0 Let l(u) = -u**3 + 3*u**2 + u + 1. Suppose -7*m - 462 - 238 = 0. Let h = m + 97. What is the tens digit of l(h)? 5 Let l be (-1 + (-145)/(-25))/(3/90). What is the units digit of 9/l*1432 - (-1)/(-2)? 9 Let p be 4/(-7)*(-168)/48. Suppose 2*b - 1098 = -2*g, p*g = -0*g - 4*b + 1098. What is the units digit of g? 9 Let o(d) = -d + 1. Let l be o(4). What is the tens digit of 4/l*(-1233)/6? 7 Suppose 77*v = 82*v + 2*t - 19160, 4*t = -20. What is the thousands digit of v? 3 Suppose 2*t - 3*c = -153, 2*t = 3*t + c + 79. Let y = 656 - 524. Let m = y + t. What is the tens digit of m? 5 Suppose -629*a = -623*a - 24. Suppose -x + 2*d - 6 = -3*x, -a*x + 14 = 3*d. What is the units digit of x? 5 Let x be (-224)/1680 - (-2584)/30. Suppose 0 = 81*k - x*k + 5570. What is the hundreds digit of k? 1 Let p(k) = k**2 - 5*k + 10. Suppose -5*v = -2*u - 28, -4*v - 12 = -3*v + 4*u. Let l be p(v). Suppose -n - 485 = -l*n. What is the tens digit of n? 9 Suppose 0 = 6*p + 2*q - 56702, 0 = 4*p - 2*q - 54648 + 16840. What is the thousands digit of p? 9 Let p(w) = -9222*w**2 + w - 13. Let s be p(3). What is the thousands digit of (4/18)/2 + s/(-72)? 1 Let a = -4183 - -19027. What is the thousands digit of a? 4 Let j(d) = -15*d + 26*d + 171*d**2 - 8*d. What is the hundreds digit of j(-1)? 1 Let x(q) = -181*q + 267. Let l be x(-11). Suppose l = 2*f - 464. What is the thousands digit of f? 1 Suppose -3505*t + 3636*t - 2346996 = 0. What is the hundreds digit of t? 9 Let l(h) = -14*h - 55. Let y be l(-7). What is the tens digit of -2*y*(-18 - -17)? 8 Let n = -32067 + 45072. What is the tens digit of n? 0 Suppose 0*v + v + 133 = -3*l, 2*l - v + 82 = 0. Suppose -4*n + 34 = c + 25, 5*c + 43 = 2*n. Let o = n - l. What is the tens digit of o? 4 Suppose -5*u - 118*q + 53125 = -117*q, 2*u - 2*q = 21238. What is the thousands digit of u? 0 Let g = 75 + -78. Let y(x) = -4*x - 10*x + 8 + 1. What is the tens digit of y(g)? 5 Let z = -101 - -104. What is the hundreds digit of ((-6)/(-1))/(z + (-4044)/1352)? 6 Let n = 145 - 142. Let p(s) = 2*s - 1. Let m be p(n). Suppose -3*w = 2*z - 81, m*w + 107 - 2 = 2*z. What is the tens digit of z? 4 Suppose -6*i = 5863 + 6593. What is the hundreds digit of (-1)/(6234/i + 3)? 3 Suppose -2*x - 4*n = -66308, 101*x - 98*x + 5*n = 99459. What is the thousands digit of x? 3 Let d(k) = 10*k**2 + 48*k + 41. What is the units digit of d(-6)? 3 Suppose -278671 = -29*b - 157462 + 158525. What is the units digit of b? 6 Let i(y) = -5*y + 8*y + 103 - 5*y. Let b be -5 - (-1 - (1 - -3)). What is the tens digit of i(b)? 0 Let z = 192 + -188. Suppose -z*d - 998 = -6*d. What is the tens digit of d? 9 Let d(b) = -b**2 - 23*b - b - 2 + 2*b**2. Let o be d(19). Let p = o - -139. What is the tens digit of p? 4 Let u(v) = 12*v**3 - 10*v**2 + 39*v - 745. What is the thousands digit of u(14)? 0 Let m = -684 + 3317. Suppose 5*i - 9*i = 5*d - m, 3*i - 3*d - 1941 = 0. What is the units digit of i? 2 What is the units digit of 2515*(12 - 273/35)? 3 Let h be 58/87*6/4. What is the units digit of (318 - 48)*(h + 0)? 0 Suppose -2*q - 9 = -19. Let n(l) = 2*l + q*l + 1005 - 973. What is the units digit of n(0)? 2 Let q be (1826/8)/(17/(-68)). Let i = 1636 + q. What is the tens digit of i? 2 Let m(o) = -6*o - 20. Let c be m(-4). Let w = -2 + c. Suppose -w*r = -r - 117. What is the units digit of r? 7 Suppose 2*m = 4*q - 214, 2*m = 3*q - 47 - 172. What is the units digit of ((-1612)/(-6))/((-78)/m)? 3 Suppose -5*g - 4*t + 63707 = 0, g + 6962 = -5*t + 19695. What is the hundreds digit of g? 7 Let p be (-2175)/(-45) + (-1)/3. Let i be (24/18)/((-1)/(-3)). What is the tens digit of p - (8/i - 5)? 5 Let i = -398 - -1552. Suppose -109*b + i = -108*b. Suppose -510 = -2*s - 5*w + 63, 2*w = -4*s + b. What is the tens digit of s? 8 Suppose 30*l - 19033 = 4637. Suppose 3*i = 4*c + l, 2*i = -3*c + 282 + 261. What is the hundreds digit of i? 2 What is the tens digit of (6/((-6)/(-1)))/(-5 - 754266/(-150852))? 4 Suppose 0 = -160*q + 88*q - 210*q + 10846566. What is the tens digit of q? 6 Suppose 21*y - 25*y - 5*i = -12106, 3*y - 9091 = 2*i. What is the units digit of y? 9 Suppose -2*f = -2*k + 3*k - 4, 0 = 4*f. Suppose 9*n - k*n - 30 = j, 5 = -j. What is the units digit of (16/(-2))/(-4)*n? 0 Let z = 2951 + -1844. Let k = -546 + z. What is the units digit of k? 1 Let k(b) = -148*b**3 - 22*b**2 - 4*b - 16. What is the units digit of k(-3)? 4 Let z(m) = 2*m**2 - 46*m - 4. Suppose 6*j - 283 = -91. What is the hundreds digit of z(j)? 5 Let i be 17/4 - 7/28. Let x(c) = c**3 - 5*c**2 + 7*c - 6. Let f be x(i). Let h = 33 + f. What is the units digit of h? 9 Let o = 101 - 101. Suppose o = 2*f - 63 - 7. Let v = 49 - f. What is the units digit of v? 4 Suppose 8*m - 65349 = -23781. Suppose -10*a + m - 1236 = 0. Suppose 3*v - 5*v + 495 = 5*d, -4*d - v + a = 0. What is the units digit of d? 9 Let y(f) = -5*f + 33. Let h be y(-10). Suppose -4*g + 739 - h = 0. What is the units digit of g? 4 What is the tens digit of (-511)/(-292) - (2625649/(-52) + 3*1)? 9 Let p(i) = 2*i**2 + 3*i - 17. Let w be p(-9). Suppose 2*q - 732 + w = 0. What is the hundreds digit of q? 3 Let q = -188 + 186. What is the tens digit of (26/39)/(q/(-282))? 9 What is the units digit of (-853680)/(-1920)*(17 - 1)? 4 Suppose 0 = -
{ "pile_set_name": "DM Mathematics" }
71 What is -26.1 times 13939? -363807.9 Multiply -3241.054 and -35. 113436.89 Product of 8 and 2832513.2. 22660105.6 169764931 times -0.5 -84882465.5 What is -89341 times 89? -7951349 Multiply 4609 and 863. 3977567 Work out -0.054 * 0.026838. -0.001449252 Product of 0.34 and 157735. 53629.9 -4576768 times -169 773473792 What is the product of -0.075544 and 45? -3.39948 -8.615159*-7 60.306113 Product of -0.1 and -318493474. 31849347.4 Product of 7171072 and -5. -35855360 What is the product of -2.957 and 26.04? -77.00028 What is -3 times -120535081? 361605243 What is -24.7044 times 13? -321.1572 Multiply 0.018 and 143034. 2574.612 Calculate -0.05*-0.508711. 0.02543555 Product of 0.067777 and 0.02502. 0.00169578054 What is the product of -1172449 and -62? 72691838 12060347*0.01 120603.47 Multiply 0.064 and -8.92204. -0.57101056 0.9 * 12603281 11342952.9 299992760.7*-2 -599985521.4 -1.6 times -479458.6 767133.76 Calculate -24.15125*5. -120.75625 Work out 21433344 * -0.1. -2143334.4 What is 4792417 times 0.37? 1773194.29 Work out 0.13 * -1540835.6. -200308.628 13 * -15.50408 -201.55304 -3 * 2032.199 -6096.597 What is 5 times 3639143? 18195715 Product of 80 and 1067261. 85380880 1759.52 times 0.1 175.952 Product of 5.16 and 0.22163. 1.1436108 Work out 19.676462 * 5. 98.38231 1 * -0.442227 -0.442227 2122 times -30.098 -63867.956 -3 times 863.689 -2591.067 0.4*428137.2 171254.88 Calculate 0.0984*70502. 6937.3968 Work out 4 * -537105.34. -2148421.36 -0.4*-536594 214637.6 What is the product of 0.48 and -365544? -175461.12 Product of -252 and 1482. -373464 0.2 times -481736 -96347.2 What is -2254 times 13.3704? -30136.8816 -2 times -256757.541 513515.082 -449 times 632424 -283958376 What is the product of 0.14827 and -0.3385? -0.050189395 0.4 * 34817091 13926836.4 What is 18330109.4 times 4? 73320437.6 4 times -0.09991217 -0.39964868 Multiply 360 and 9592. 3453120 Calculate 2.5*131446.94. 328617.35 -1.4287*0.066432 -0.0949113984 Product of 0.22 and -2353458. -517760.76 Work out 0.3 * -77.262968. -23.1788904 Work out 135.4168 * -0.093. -12.5937624 Product of -101.416 and 0.061. -6.186376 0.5 times 1098.90808 549.45404 Product of 1.3169199 and -3. -3.9507597 Product of -1.1127 and 2.9298. -3.25998846 4 * 321661 1286644 0.356 * 5102361 1816440.516 1121371 * -181 -202968151 Work out 998681 * 9. 8988129 Work out 0.1 * 907237. 90723.7 Multiply 8337.86 and 0.034. 283.48724 644.669 * 3 1934.007 What is 2.04097 times 4? 8.16388 Multiply 101875613 and 1. 101875613 27589682 * 0 0 71204 * 242 17231368 Product of 94.65 and -69.98. -6623.607 Work out -3 * 71543727. -214631181 Work out 13703411 * 14. 191847754 Calculate 8807*-5815. -51212705 What is the product of -66.2 and -371782? 24611968.4 Multiply 911 and 117256. 106820216 Work out 7083.8 * 0.32. 2266.816 Work out -4.7 * 557335. -2619474.5 What is the product of 6.15 and -7132? -43861.8 What is 4.4038 times -938? -4130.7644 38.3 times 0.3968 15.19744 What is the product of -2 and -0.98566757? 1.97133514 -0.04347 * 24395 -1060.45065 -578707*-11.5 6655130.5 Product of 8.124 and -0.06438. -0.52302312 Product of -6 and -1.4771744. 8.8630464 Multiply 220 and -102939. -22646580 What is 13.54 times 255.6? 3460.824 Multiply -1.03437115 and -0.2. 0.20687423 -1503.53246 times 2 -3007.06492 What is 177158164 times -5? -885790820 What is the product of 98118.32 and -0.7? -68682.824 431134.3*0 0 Product of -0.6311439 and 0.4. -0.25245756 Product of -13621 and 3693. -50302353 Work out -4 * 2066933. -8267732 Work out 1.6743 * -23. -38.5089 Multiply 71 and -1052093. -74698603 Product of -0.2 and 42411237. -8482247.4 What is 894.96 times -0.056? -50.11776 811 times 0.2903 235.4333 24090.4 * -1.91 -46012.664 Product of 2620.232 and 16. 41923.712 Calculate 888*0.246953. 219.294264 104634*13 1360242 Work out 371.96 * 0.0427. 15.882692 Product of -62012.22 and 0.4. -24804.888 Multiply 2056 and -4.1234. -8477.7104 Calculate -93106*-1.7. 158280.2 Calculate -1664*-0.022178. 36.904192 -94766652 times -4 379066608 -781 * -0.04037 31.52897 Work out -87611276 * -5. 438056380 -75347714*0.6 -45208628.4 What is -15.15 times 517? -7832.55 5 times -137652.96 -688264.8 -6.613928*8 -52.911424 What is the product of -8457.1 and -2? 16914.2 What is 1542 times -0.254? -391.668 -1.241 * -2698 3348.218 Calculate -522*472.3. -246540.6 What is 189697.08 times -6? -1138182.48 -8583 times 0.693 -5948.019 -81 * 153580 -12439980 Product of -7 and -31553180. 220872260 Calculate -5*383010.14. -1915050.7 Multiply -1 and -263248298. 263248298 -1264 times 15.94 -20148.16 -3102492*-10 31024920 Multiply -231408 and -283. 65488464 What is the product of 44 and 199698? 8786712 Work out 823.7 * -3.91. -3220.667 What is the product of 306071 and 12? 3672852 Product of -0.11869134 and 0.3. -0.035607402 What is -0.55297 times -8.91? 4.9269627 17 * 2381.89 40492.13 -6422.7 * -2011 12916049.7 5.3*272.06 1441.918 Calculate -7*-1377.304. 9641.128 Work out -951 * -693269. 659298819 152740444 * -0.1 -15274044.4 Product of -188.7 and 2793. -527039.1 What is the product of 2.81 and 0.0407271? 0.114443151 Product of 6658 and 172.01. 1145242.58 Calculate -807788.6*1. -807788.6 Product of -5.52 and -17318. 95595.36 26 times 22914.7 595782.2 4705 times 0.85 3999.25 -81501 times -3038 247600038 320 * -222946 -71342720 -97508 times -0.015 1462.62 Multiply -2297 and 0.06531. -150.01707 What is the product of -1005445.3 and 0.5? -502722.65 Product of 9499 and 1161. 11028339 404923*-190 -76935370 -36*-1102065 39674340 -2 times 85447.6 -170895.2 2.26 * -4575 -10339.5 What is the product of 65.8 and 763? 50205.4 Product of 501278 and -3. -1503834 Calculate -45418518*5. -227092590 Product of 1174830 and 0.023. 27021.09 8268936 times -0.4 -3307574.4 -6*6883838 -41303028 What is 702749.9 times -4? -2810999.6 Product of 4 and -177494708. -709978832 Product of 0.11444394 and 0. 0 -98.58 times -0.04242 4.1817636 109579.3 * -6 -657475.8 -14676423*-0.09 1320878.07 Product of -27328009 and 5. -136640045 Calculate 1.87*-27573. -51561.51 Product of -22172918 and 3. -66518754 13409*-911 -12215599 Calculate 7290.67*-0.1. -729.067 Calculate -3.5*-67423. 235980.5 -0.99 * 807.03 -798.9597 What is the product of 3782 and -1.85969? -7033.34758 Calculate -3*1530914.77. -4592744.31 Product of 8132.79 and 26. 211452.54 What is the product of -1327 and -159.932? 212229.764 What is the product of -412.3 and 41.5? -17110.45 What is the product of 85.3 and 10.543? 899.3179 Work out 4 * -61487676. -245950704 964165 times -6 -5784990 What is the product of 12020088 and 3? 36060264 -8.371 * -3665 30679.715 Product of 0.09 and 1518.59. 136.6731 What is the product of 73234 and 1.912? 140023.408 -11701 times -16623 194505723 2525426*-0.076 -191932.376 What is the product of 0.026 and -328565.84? -8542.71184 Multiply -249397 and 73. -18205981 Product of -874 and 0.7681. -671.3194 What is 26943.2 times 31? 835239.2 Calculate -1.32*-6958.5. 9185.22 0.442*1188281 525220.202 -5 times 1030.58 -5152.9 Work out 103802 * -0.5. -51901 What is -8 times 735613? -5884904 Work out -1 * -506164. 506164 Multiply -91351 and -31.1. 2841016.1 Work out 75731 * -167. -12647077 What is the product of -7505 and 2282? -17126410 12 * -0.03782511 -0.45390132 14.49 * 9949.1 144162.459 0.0086897 times 0.03 0.000260691 What is 114 times -0.55904? -63.73056 -0.24 times 74.275 -17.826 -17857806 times 0 0 What is the product of -6236 and -0.098? 611.128 0.01162452*-0.1 -0.001162452 Calculate -0.8*-24023727. 19218981.6 What is 3.21 times 23702? 76083.42 -3905*258 -1007490 Work out -31 * -23297388. 722219028 What is 2 times -1248330? -2496660 Multiply 135042 and -1.1. -148546.2 What is 2.2 times -1244543? -2737994.6 Product of 66 and 653398. 43124268 -19.4 * 452.749 -8783.3306 -453 * -16152 7316856 Product of 0.1 and -2.1713579. -0.21713579 Multiply 0.055148164 and -2. -0.110296328 69168.054 * 0.1 6916.8054 553.9442*-0.5 -276.9721 -6295426*0.2 -1259085.2 What is the product of -48392510 and -4? 193570040 What is the product of 1 and -12589214? -12589214 What is -70339060 times 11? -773729660 Multiply 1.90857815 and 5. 9.54289075 Multiply 1.00636 and 0.31. 0.3119716 Calculate -2*-2482657. 4965314 What is 1.6 times -37.32256? -59.716096 Work out -0
{ "pile_set_name": "DM Mathematics" }
k + 6485 Let b(h) = 11*h**2. Let o(n) = 896*n**2 + 27. Let c(y) = -133504*y**2 - 4032. Let k(g) = 3*c(g) + 448*o(g). Determine k(b(q)). 108416*q**4 Let n(d) = d. Let q(h) = 928*h + 136. What is q(n(r))? 928*r + 136 Let n(u) be the third derivative of -73*u**4/24 - 2*u**2 - 17*u. Let k(g) = 20*g - 7. Let q(t) = 14*t - 5. Let j(l) = -5*k(l) + 7*q(l). Determine n(j(c)). 146*c Let z(u) = 3*u**2 + 1. Let a(l) = -39*l**2 - 2*l - 2. Let h(y) = a(y) + 2*z(y). Let k(d) = 10*d**2. Calculate h(k(i)). -3300*i**4 - 20*i**2 Let o(d) = -58*d. Let z(b) be the second derivative of b**5/20 + 39*b**2/2 - b - 38. Let a(y) be the first derivative of z(y). Calculate a(o(u)). 10092*u**2 Let k be (3 - 2) + (1 - -2). Let v(y) = k*y - 3*y + y. Let d(n) be the first derivative of 3*n**2/2 + 2251. Give v(d(w)). 6*w Let h(n) = -3641*n + 1. Let d(s) be the third derivative of s**4/8 + 1039*s**2. Calculate h(d(u)). -10923*u + 1 Let j(m) be the third derivative of -11*m**5/12 - 2*m**2. Let b(t) = 3*t**2 + t - 2. Let y(d) = 49*d**2 + 17*d - 34. Let r(o) = 34*b(o) - 2*y(o). Give r(j(h)). 12100*h**4 Let t(s) be the third derivative of s**4/8 + 2*s**2. Let a(o) be the third derivative of 0*o**3 + 0 - 308*o**2 + 0*o - 7/24*o**4. What is t(a(i))? -21*i Let j be 20/(4 - 9) + 85. Let s = 136 - j. Let r(m) = 55 + 5*m - s. Let n(w) = w. Determine n(r(z)). 5*z Let z(q) = 139*q**2 - 336*q**2 + 191*q**2. Let u(n) = -2*n**2. Calculate u(z(j)). -72*j**4 Let m(k) be the second derivative of 8*k**4/3 - 3808*k. Let p(y) = -23*y**2. Give m(p(c)). 16928*c**4 Let l(a) = 12736*a**2 + 77*a + 7. Let v(c) = 4*c. Determine l(v(f)). 203776*f**2 + 308*f + 7 Let s(u) = -7806*u - 1519*u + 386*u. Let y(x) = -3*x**2. Calculate s(y(i)). 26817*i**2 Let g(j) = -2*j. Let c(l) = 23*l**2 - 9*l + 7. Let d be c(-7). Let u = 262 - -935. Let t(o) = -u - 8*o**2 + d. Calculate t(g(z)). -32*z**2 Let r(h) = -10*h + 2. Let l(s) = -8*s**2 + 3*s + 42. Let p(o) = o**2 + o + 14. Let n(g) = -2*l(g) + 6*p(g). Determine n(r(t)). 2200*t**2 - 880*t + 88 Let f(t) = -9*t + 181098. Let b(v) = v. What is b(f(g))? -9*g + 181098 Let r(u) = 3468*u. Let n(f) = -248*f**2. Determine r(n(t)). -860064*t**2 Let f(h) = 5*h**2. Let i(t) = 8*t**2 - 16*t + 3. Let d(c) = 18*c**2 - 50*c + 8. Let x(g) = -3*d(g) + 8*i(g). Calculate x(f(q)). 250*q**4 + 110*q**2 Let r(i) = -6*i + 2*i**2 - 3*i**2 + 2*i**2. Let g(u) = -2*u**2 - u + 2. Let m(t) = 11*t**2 + 5*t - 10. Let v(z) = 10*g(z) + 2*m(z). Determine r(v(s)). 4*s**4 - 12*s**2 Let v(o) be the third derivative of 13/12*o**5 + 0 + 0*o**3 - 3*o**2 + 0*o + 0*o**4. Let f(s) = 2042*s**2 - 2044*s**2 + 5*s - 5*s. Give v(f(w)). 260*w**4 Let f(s) = -s - 2554. Let w(a) = 5*a**2 + 168. Calculate f(w(q)). -5*q**2 - 2722 Let a(l) be the first derivative of l**2/2 - 1962. Let m(y) = -579*y**2. Give a(m(r)). -579*r**2 Let u(v) = 2*v + 6. Let g(h) = h**2 - 2*h - 6. Let c(r) = -g(r) - u(r). Let w(z) = 6*z - 6*z + 13*z. Give c(w(k)). -169*k**2 Let s = 22 - 12. Let y(j) = s - 10 + 4*j - 8*j. Let t(g) = -10*g. Let n(x) = 3*x. Let r(i) = 4*n(i) + t(i). Give r(y(h)). -8*h Let x(u) = u + 12. Suppose -4*j - 3*d - 1 = 0, 6*j - d = 4*j - 3. Let t(f) = f + 2. Let k(h) = j*x(h) + 6*t(h). Let q(p) = -37*p. Give q(k(l)). -185*l Let u(j) = j**2. Let l(n) = -17*n**2 + 45*n**2 - 2 + 4. Let h(i) = 1875*i**2 + 135. Let o(t) = -4*h(t) + 270*l(t). Calculate o(u(q)). 60*q**4 Let j(x) = -2*x - 33. Let p(s) = -2951 + 1550 + 1401 + 23*s**2. Give j(p(d)). -46*d**2 - 33 Let n(u) = -49*u + 2. Let b = -655 + 665. Let p(x) = -3*x + 5*x - 3 - 7 + b. Determine n(p(j)). -98*j + 2 Let o(q) = -q**2. Let t be (-101)/(-2) - 33/66. Let z(v) = -7*v**2 + 1517*v - 1517*v - t. Give z(o(s)). -7*s**4 - 50 Let o(j) = j. Let x(i) = -7*i - 101555. Give o(x(a)). -7*a - 101555 Let m(d) be the first derivative of d**2 + 141. Let r(s) be the second derivative of -4*s + 0*s**2 + 0 - 11/6*s**3. Calculate r(m(j)). -22*j Let k(q) = 32192*q - 2. Let d(m) = 11*m**2. What is k(d(w))? 354112*w**2 - 2 Let m(r) = 15*r + 15*r - 24*r. Let t(v) = 4*v + 18. What is m(t(u))? 24*u + 108 Let c(j) = -1410746*j. Let u(p) = -2*p**2 + 36*p. What is c(u(t))? 2821492*t**2 - 50786856*t Let u(v) = 40551*v. Let q(r) = 366*r**2. What is q(u(t))? 601844397966*t**2 Let k(f) = -2046*f. Let n(i) = -43*i. Let x(j) = -3*k(j) + 143*n(j). Let a(w) = -218*w. Calculate x(a(u)). 2398*u Let i(u) = -220*u**2. Let w(j) = 81440*j. What is w(i(n))? -17916800*n**2 Let y(t) = t - 198. Let u(l) = -9*l - 4. Let d(c) = 109*c + 50. Let x(j) = -2*d(j) - 25*u(j). Give x(y(w)). 7*w - 1386 Let j(n) = n**2 - 2*n + 4. Let b be j(3). Let z(q) = b - 11 - 5 - 1 - 2*q**2. Let t(u) = 2*u**2. Determine t(z(h)). 8*h**4 + 80*h**2 + 200 Let t(h) be the second derivative of -5*h**3/6 + 976*h. Let l(u) = 2*u + 65. Give l(t(x)). -10*x + 65 Let h(y) = y + 4. Let m(s) = 2*s + 6. Let f(l) = -3*h(l) + 2*m(l). Let j(d) be the first derivative of -9*d**2 - 84. What is j(f(o))? -18*o Let a(x) be the first derivative of x**5/6 + 2*x**3/3 - x**2/2 + 55. Let z(p) be the third derivative of a(p). Let h(k) = 2*k. Determine h(z(y)). 40*y Let r be (4/3)/((-119)/(-105) - 1). Let p(q) = -5 + r*q**2 + 5 - 11*q**2. Let j(x) be the third derivative of -31*x**4/24 - x**2. Give j(p(w)). 31*w**2 Let m(w) be the first derivative of -1/8*w**4 + 9*w**2 + 0*w**3 - 13 + 0*w. Let z(a) be the second derivative of m(a). Let y(v) = 4*v. What is y(z(k))? -12*k Let i(g) = -151*g**2 + 1 + 4 - 11 + 7. Let t(m) = -m**2. Determine i(t(a)). -151*a**4 + 1 Let l(z) = 22*z**2 + 5*z - 40. Let u(x) = -153*x**2 - 34*x + 272. Let r(k) = 34*l(k) + 5*u(k). Let b(q) = 38*q. What is r(b(c))? -24548*c**2 Let p(h) be the second derivative of 31*h**4/2 - h**3/3 + 28*h - 9. Let m(c) = -2*c. Calculate p(m(j)). 744*j**2 + 4*j Let p(f) = 250*f. Let d(l) = 248857*l. Calculate d(p(q)). 62214250*q Let y be (-168931)/(-17) - (160/(-170))/(-8). Let k(t) = -9935*t**2 + y*t**2 - 1 + 1. Let r(w) = 7*w**2 - w**2 + 10*w**2. Determine r(k(b)). 64*b**4 Let n(f) be the second derivative of -f**3/3 + 6*f. Let h(i) = -508 + 508 + 263*i**2 + 3*i**2. Determine h(n(a)). 1064*a**2 Let b(o) = 103332*o. Let n(z) = -4525*z. Calculate n(b(s)). -467577300*s Let j(q) = 5*q. Let l(g) be the second derivative of -g**6/180 - 77*g**4/12 + 59*g. Let d(i) be the third derivative of l(i). Determine j(d(n)). -20*n Let h(f) = f**2 - 5*f**2 - f**2. Let z be -30*(12/(-10))/((-9)/(-12)). Let y(t) = z*t + 47*t - 97*t. What is y(h(s))? 10*s**2 Let o(n) = -1846*n. Let x(s) = 9*s + 51. Determine o(x(u)). -16614*u - 94146 Let z(l) = 113 - 330 + 2314*l + 104 + 113. Let m(u) = -2*u. Determine z(m(j)). -4628*j Let i(r) = -9*r**2 - 16*r + 5. Let n(f) = 8*f**2 + 16*f - 4. Let t be (-38)/(-10) + 156/130. Let y(o) = t*n(o) + 4*i(o). Let q(m) = 2*m. Calculate y(q(k)). 16*k**2 + 32*k Let x(r) = -6*r + 5*r + 4*r + 5*r. Suppose 4 = -4*w + 12. Let g(n) = n - 9 + 9 - w*n. Give x(g(f)). -8*f Let z(y) = -106400*y - 2. Let g(j) = 52*j. Determine z(g(h)). -5532800*h - 2 Let r(p) = -110726955*p. Let v(g) = -g**2. What is v(r(o))? -12260458563572025*o**2 Let k(y) = 4617*y. Let j(g) = -17601*g. Calculate j(k(w)). -81263817*w Let x(t) = -2*t + 44. Let a(o) = -4 - 14493*o**2 + 2*o - 2*o + 14528*o**2 + 6. What is a(x(z))? 140*z**2 - 6160*z + 67762 Let u(n) = -36937*n**2. Let x(m) = 9*m - 1. Give x(u(v)). -332433*v**2 - 1 Let v(o) = -4*o**2 - 9*o. Let q be ((-24)/(11 + -5))/(-2). Let j(f) = -320*f**q - 1 + 1 + 318*f**2. Determine j(v(l)). -32*l**4 - 144*l**3 - 162*l**2 Let f(m) = 261*m**2 + 14*m + 156. Let b(j) = 131*j**2 + 8*j + 89. Let i(a) = 7*b(a) - 4*f(a). Let z(d) = -39*d + 2. What is z(i(w))? 4953*w**2 + 41 Let g(r) be the third derivative of 0*r + 0 + 0*r**3 - 110*r**2 - 79/60*r**5 + 0*r**4. Let z(v) = 2*v. Calculate z(g(u)). -158*u**2 Let x(y) = 30946 + 3*y - y - 30946. Let c(d) = 2875*d**2. What is x(c(r))? 5750*r**2 Let j(d) = 30*d**2. Let y(w) = w - 43. Let h(q) = -12*q + 216. Let t(u) = h(u) + 5*y(u). What is j(t(o))? 1470*o**2 - 420*o + 30 Let d(b) = -6698*b. Let r(l) = 2470*l**2. Give d(r(z)). -16544060*z**2 Let j(x) = -13*x**2. Let p(r) = -644285*r. Determine p(j(g)). 8375705*g**2 Let y(l) be the third derivative of 307*l**5/20 + 11846*l**2. Let q(p) = -10*p**2. Determine y(q(g)). 92100*g**4 Let r(v) = -15*v + 63. Let b be ((-28)/7 -
{ "pile_set_name": "DM Mathematics" }
ded to the nearest 100000? 600000 Suppose -3*s = -11 + 2. Suppose -f - l = 3595, s*f + 10775 = -0*f - l. What is f rounded to the nearest 100? -3600 Let g(n) = -818*n**3 + 7*n**2 - 9*n - 4. Let o(p) = -p**3. Let y(s) = -g(s) + 2*o(s). Let j be y(3). Round j to the nearest one thousand. 22000 Let u be (-2)/3 + 284/12. Let y be 1234000/3*(8 - u). Round y to the nearest 1000000. -6000000 Suppose 4*t = 15*t + 132110. What is t rounded to the nearest 1000? -12000 Let t(s) = -356376*s + 14. Let a be t(6). Let q = a + 3188237. Suppose -4 = -r + 1, -5*j + q = -r. What is j rounded to the nearest 100000? 200000 Suppose 5*h - 216150 = -28*h. What is h rounded to the nearest one thousand? 7000 Let g = 2.99 + -2.988431. Round g to 4 decimal places. 0.0016 Let h = 0.039898993 - 0.0399. What is h rounded to seven dps? -0.000001 Let w = -0.101 + -0.599. Let c = 89.2137 - 88.513743. Let t = c + w. What is t rounded to five dps? -0.00004 Let k = 419 + -638. Let s = k - -219.000454. What is s rounded to 4 dps? 0.0005 Let w = 80.00795 + -80. What is w rounded to 3 decimal places? 0.008 Let n = 0.5 + -28.5. Let u = n + 27.99999989. Round u to 7 dps. -0.0000001 Let q = 316398800 - 316398798.00000057. Let v = q - 2. What is v rounded to seven decimal places? -0.0000006 Let u = -1304.5 + 1304.5279828. Let n = -0.028 + u. Round n to 6 dps. -0.000017 Let s = -4.39 + 4.2756. Round s to two decimal places. -0.11 Let a = -2280 - 1430. Round a to the nearest one hundred. -3700 Let m = -56840294630.00000153 + 56840294391. Let r = m - -239. What is r rounded to seven dps? -0.0000015 Suppose t + 3131809 = -5*r - 3128211, -2*r - 8 = 0. What is t rounded to the nearest one hundred thousand? -6300000 Let o = -29.8 + 33.66. Round o to one dp. 3.9 Let m = 1.516 + -1.3708. What is m rounded to two decimal places? 0.15 Let x = -16577 + 16620.245. Let d = -43 + x. What is d rounded to 2 dps? 0.25 Let z be (-40)/3*3108/56. What is z rounded to the nearest one hundred? -700 Suppose -5*z = -z - 12. Let v be (-1 - z)*1573/(-26). Suppose -c + 5*c = -20, 0 = -3*d - 4*c - v. What is d rounded to the nearest ten? -70 Let r = -4760 + 4714.38. What is r rounded to the nearest ten? -50 Let y = 1864 + -1863.4014. What is y rounded to 2 dps? 0.6 Let w = 235041 + 865959. Round w to the nearest ten thousand. 1100000 Let c = -42 + 47. Let w = 4.5 - c. Round w to the nearest integer. -1 Let o = 1.653 + -1.65308668. Round o to 6 dps. -0.000087 Let u = 53 - 68. Let z be -5000*u/3*32. Round z to the nearest 1000000. 1000000 Let b = 504 - 503.683. What is b rounded to 2 decimal places? 0.32 Let r = -10.85 + 8.69. What is r rounded to zero dps? -2 Let i = 74.9092 + -75.1. Round i to 3 decimal places. -0.191 Let j = 2255.98271 + -2256. Round j to 3 decimal places. -0.017 Let g = 32.2 + -28. Let c = g + 25.8. Let k = c - 30.0013. What is k rounded to four decimal places? -0.0013 Let x = 6394.69 - 6350. Let l = -39.9 + x. What is l rounded to one dp? 4.8 Let p = 41.35 - -0.65. Let b = 41.99999973 - p. Round b to seven decimal places. -0.0000003 Let c = -0.03 + 0.032. Let z = 0.001967 - c. Round z to 5 decimal places. -0.00003 Let b(g) be the second derivative of -24113*g**3/3 + g**2/2 - 4*g. Let a be b(1). Let s = 5225 + a. Round s to the nearest ten thousand. -40000 Let j = 346642 - 346641.798877. Let s = j + -0.201. What is s rounded to 5 decimal places? 0.00012 Let u = 66 - -16. Let i = u + -79.82. Let l = i - 2.1. What is l rounded to one dp? 0.1 Let n(t) = -439*t + 10. Let m be n(12). Let l = -9018 - m. Round l to the nearest one hundred. -3800 Let g = 5998 - 5998.02597. What is g rounded to 3 decimal places? -0.026 Suppose 2*s + 3*g + 3 = 0, 3*s - 5*s + 15 = -3*g. Suppose -27 = 2*r + 5*h, s*r + 20 + 30 = 2*h. What is r rounded to the nearest ten? -20 Let q = -21 - -19. Let j = 43 + -41.1. Let w = j + q. Round w to 2 decimal places. -0.1 Let f = 24 + -19. Suppose -f*z + 628 = -z. Let i = 67 - z. Round i to the nearest one hundred. -100 Let n = 125.9999994772 + -126. What is n rounded to seven dps? -0.0000005 Suppose 2*o - 4 = 24. Suppose -9*d + o*d = -4700000. Round d to the nearest one hundred thousand. -900000 Let p = 1 + -1.7. Let h = 0.8 + p. Let r = h + -0.0999775. Round r to 6 dps. 0.000023 Let p = 180343635 + -180343780.000063. Let t = -145 - p. What is t rounded to five decimal places? 0.00006 Suppose 5*b + y + 403288 = 2*y, 5*b + 403282 = 4*y. Let u = b + 14558. Round u to the nearest ten thousand. -70000 Let f = 38.2 - 79.3. Let o = -33 - f. What is o rounded to zero decimal places? 8 Let p = -4512.7 - -3789. Let y = 687 + p. What is y rounded to the nearest integer? -37 Let j = 5742.0002701 - 5742. What is j rounded to 5 dps? 0.00027 Let r = -0.04660443 - -0.0466. Round r to six dps. -0.000004 Let m = 98760 - -191040. What is m rounded to the nearest one hundred thousand? 300000 Suppose 16*g + 3*g + 66348000 = 0. Round g to the nearest 100000. -3500000 Let c = -1243280 - -692280. What is c rounded to the nearest 100000? -600000 Let q = -3.36 - -1.7. Let u = 1.65645 + q. Round u to four dps. -0.0036 Let f(h) = -3*h + 2210232. Let v be f(0). Suppose 0 = 5*o - 4*r + 310216 - v, -r = -3*o + 1140004. What is o rounded to the nearest one hundred thousand? 400000 Let w = -51 + 32. Let p = 4.43 - 22.69. Let k = p - w. What is k rounded to one dp? 0.7 Let j be (-98 - 26332) + (10 - 0). Round j to the nearest one thousand. -26000 Let m = 0.148031 - -1.011559. Let h = -1.16 + m. Round h to 4 decimal places. -0.0004 Let p(i) = -3*i + 20. Let j be p(5). Suppose -j*y + 114500 = -10*y. Round y to the nearest ten thousand. -20000 Let j = -47.7506 - 0.0494. What is j rounded to the nearest 10? -50 Let v = -781.00000738 + 781. What is v rounded to six decimal places? -0.000007 Let i be -10 - (18 + -2)/(-4). Let a be (-2)/3 - 4/i. Suppose -5*m + 4*m + 14700000 = a. Round m to the nearest one million. 15000000 Let i = 0.2 - -0.6. Let g = i - 0.85. Let q = g - -0.04993. Round q to 4 decimal places. -0.0001 Let g = -33005 + 33005.106188. Let b = -0.106 + g. What is b rounded to 5 decimal places? 0.00019 Let d = 3 - -40. Suppose 4*s + 3*p + 184009 = 0, 0 = s - p + 45961 + d. Let w be 0 - (4 - 1) - s. What is w rounded to the nearest ten thousand? 50000 Let u = 0.21 - 0.48. Let s = u - 0.13. Let a = s - -0.3. Round a to 2 dps. -0.1 Let z be 70/(((-2)/(-345))/(52/(-39))). What is z rounded to the nearest one thousand? -16000 Let x = 0.418 - 0.4179756. Round x to five dps. 0.00002 Let a = 21.648 - -0.232. Let n = a + -22. What is n rounded to one dp? -0.1 Let h = 7.2 - -1.3. Let y = -8.498 + h. What is y rounded to four decimal places? 0.002 Let d = -54701 + 84954. Let f = -30253.100005 + d. Let s = 0.1 + f. Round s to six dps. -0.000005 Let x = -0.0045 + 4.5145. What is x rounded to the nearest integer? 5 Let l be (10/2)/((-1)/(-11)). Suppose l = 4*f - 153. What is f rounded to the nearest ten? 50 Suppose 3*i + 5*i - 24 = 0. Suppose 4*l - l + 525 = -3*q, -5*l - 525 = i*q. Round q to the nearest 10. -180 Let d = -57495 - -13685. Let q = d - -147810. Round q to the nearest ten thousand. 100000 Let v = -2425 - -2440.19. What is v rounded to the nearest integer? 15 Let m = 1635794561 + -1635794030.00000251. Let y = -531 + m. Round y to 7 dps. -0.0000025 Let l = -417836646.4 - -500935469. Let k = -83098895.6000078 + l. Let v = k - -73. What is v rounded to 6 decimal places? -0.000008 Suppose 4*i + 4 = 5*i. Suppose 4*h = 5*m - 11625, 3*h + m + 8715 = i*m. What is h rounded to the nearest one thousand? -3000 Let r = 824203 + 1381653. Let c = -2205716.0061 + r. Let o = 140 - c. What is o rounded to 3 dps? 0.006 Let p = -295 + 290.43. Let q = -4.9 - p. Round q to one decimal place. -0.3 Let l = 2604.7 + 21.3. Let m = -2501.7 + l. Let v = 106 - m. What is v rounded to the nearest integer? -18 Let l = -109555537 - -109555535.79999958. Let v = l - -1.2. What is v rounded to seven dps? -0.0000004 Let l = 2159.00005827 - 2159. Round l to five dps. 0.00006 Let o = 308 - 496. Let d = 188.000162 + o. Round d to 5 dps. 0.00016 Let t = 0 - -2. Suppose -2*d - 6 = 2*i, 0 = -t*i + d + 4*d + 22. Let j be (-3 - -42003)*i*100. What is j rounded to the nearest one million? 4000000 Let n = 54653.129983 - 54653. Let o = n + -0.13. Round o
{ "pile_set_name": "DM Mathematics" }
3 - 3. Suppose 0 = -10*l + 7*l - 87. Let v = l + 29. What is t(v)? -3 Let y = 54 - 52. Let x(q) = -4*q + 5*q**y + 3*q**2 + 4 - 3*q - q**3 + 2. Give x(7). 6 Let f(i) = 7*i + 1 - 5*i + 4. Let q(o) = o**2 + 38*o + 332. Let b be q(-25). Calculate f(b). 19 Let l(h) = -5 - h**2 + 2*h - 5*h**2 + 3*h + h**3. Let p = 20 - 23. Let s = 8 + p. What is l(s)? -5 Let h(o) = -17*o. Let y(c) = 494*c. Let z(q) = -117*h(q) - 4*y(q). Suppose -3*w = -30 + 27. Determine z(w). 13 Suppose -10 = -2*i + 4*a, -i + 5*a = -0*i + 4. Let b = i - 16. Let d(y) be the second derivative of -y**5/20 - y**4/3 + 4*y**3/3 + 3*y**2 - 5*y. Give d(b). -9 Let o be 11 + (-44)/4 + -34 + 33. Let q(m) = -5*m + m**2 + 4*m + 2*m. Let x(w) = -28*w**2 - 32*w. Let l(p) = -96*q(p) - 3*x(p). Determine l(o). -12 Let q(c) = -2*c**2 + 13*c - 16. Let k(i) = -2*i**2 - 9*i + 8. Let r(m) = -m**2 - m. Let b(w) = -k(w) + 3*r(w). Let h(y) = -5*b(y) + 3*q(y). Calculate h(8). 0 Let m = -119/4 + 379/12. Let j(a) be the second derivative of m*a**3 + 1/2*a**2 + 0 - 4*a. Calculate j(-1). -10 Let z(v) = -20*v - 10*v**2 + v**3 - 21*v + 6*v**2 + 33*v - 2. Suppose 5*a - 39 = 3*u, 2*u = -5*a + u + 27. Determine z(a). 22 Let y(o) be the third derivative of -o**6/120 - o**5/60 + o**4/12 - o**2. Let l be (-15)/1 - (68 - 81). Give y(l). 0 Let x(o) be the second derivative of 0 + 1/2*o**2 + 1/12*o**4 - 1/6*o**3 - 3*o. Calculate x(1). 1 Let i(j) = -2 + 271*j + 281*j - 550*j - j**2. What is i(2)? -2 Let a(h) = -3*h - 5. Let c be a(-3). Suppose d = -c*d + 10. Let f be (4/6)/(d/3). Let o(s) = -7*s**2 - 1. Calculate o(f). -8 Suppose 0*h = -5*h - 5, -3*o + 3*h = -12. Suppose a + 11 = 4*d, -5*a + d = o + 14. Let t(s) = -s**2 - 2*s + 2. What is t(a)? -1 Let j(o) = o**2 + 8*o - 4. Let u(x) = x**2 - 6*x - 2. Let k be u(5). Calculate j(k). -11 Suppose 0*y + 6 = 3*y. Suppose j + 5*q - 8 = 0, -y*j - 3*q = 3 - 12. Let s(g) = g**2 - 4. Give s(j). 5 Let u(p) = p**3 + p**2 - 1. Let v(q) = 3*q**3 + 3*q**2 - 7*q - 10. Let a(x) = 4*u(x) - v(x). Determine a(-1). -1 Let y = 6 + -16. Let v(l) = l + 1. Let c(a) = -2*a - 3. Let j(g) = -4*c(g) - 7*v(g). Calculate j(y). -5 Let z(s) = 33*s**3 + s - 12*s**2 - 34*s**3 + 7*s**2. Let p be -6 + -1 + 2*1. Let b be z(p). Let f(t) = -t**2 - 7*t - 5. What is f(b)? 5 Let m(x) = -x**2 - 20*x - 85. Let b be m(-7). Let n(u) = -6*u + u**3 - 7*u**2 - 1 + 10*u + 7. What is n(b)? -6 Let a(q) = 8*q - 1. Let u(y) = 3*y - 6. Let l be u(4). Suppose -l = o - 7. Give a(o). 7 Let f(d) be the third derivative of -d**6/120 + d**3/6 - d**2. Let n(m) = 13*m**3 + m**2 - 1. Let y(s) = f(s) + n(s). Give y(1). 13 Suppose -13 = c - 3*z, c + 2*c = z - 7. Let q(g) be the third derivative of g**4/6 - g**3/6 - 344*g**2. Give q(c). -5 Let o be (-15)/24*72/(-9). Let i(z) be the third derivative of 4*z**2 - 1/12*z**o - 1/120*z**6 + 0*z - 5/6*z**3 + 0 - 5/24*z**4. Determine i(-4). -1 Let u = -14 - -17. Suppose 3 + u = 2*z. Let g(h) = 4 - z - 7*h - 3 - h**2 + 4. What is g(-6)? 8 Let d(x) = 2*x - 8. Let i(f) = f - 7. Let s(y) = 3*d(y) - 4*i(y). Let n(l) = -1. Let k(o) = 20*n(o) + 5*s(o). Give k(-1). -10 Let j be 2/4 + -21*(-6)/36. Suppose 0 = 4*k + c - 6, 6 + 8 = j*k - 3*c. Let o(b) = b**3 - 6*b**2 + 3*b. Give o(k). -10 Suppose v - 221 + 218 = 0. Let f(z) = 9*z + 2 - 14*z + v*z - z. Calculate f(3). -7 Let t(g) be the second derivative of -g**8/6720 - g**7/420 + g**6/720 - g**5/40 - g**4/2 + g. Let h(o) be the third derivative of t(o). What is h(-6)? -9 Let w(a) = 0 - 10265*a - 3 + 2 + 10260*a + 4. Give w(4). -17 Let p(m) be the second derivative of m**3/3 - 2*m**2 + m. Let c(v) = v**3 - v**2 - 2*v + 1. Let o be c(2). Let l be ((-1)/1)/(o/(-6)). Give p(l). 8 Let r(x) = -5*x - 9. Suppose 5*z - i + 11 = 0, -9*z - 10 = -5*z - 2*i. Give r(z). 1 Let v(q) = q**3 - 4*q**2 - 4*q + 1. Let o be v(5). Let y be o/(-9) - 1/3. Let z(l) = 3*l**2. Calculate z(y). 3 Let t(d) = -8*d + 1. Let k be (-10)/(-6) - (-21)/9. Calculate t(k). -31 Suppose -3*s + 1 + 2 = 0. Let g(r) be the second derivative of -7*r**5/120 - r**3/3 - 5*r. Let d(m) be the second derivative of g(m). Determine d(s). -7 Let c(s) be the first derivative of -s**4/4 + 8*s**3/3 + s**2 - 6*s + 12. Let v be 2/(-11) - (938/(-77) + 4). Determine c(v). 10 Let y(q) = 2*q - 18*q + 11*q + 1 + 14*q + q**2 + 9*q. Give y(-16). -31 Let t = -39 + 33. Let u(x) = -x**3 + 15*x**2 + 17*x - 11. Let n(r) = -r**2 - r. Let g(z) = t*n(z) - u(z). Give g(10). 1 Let w(k) be the first derivative of -1/60*k**5 - 1/6*k**3 - k**2 + 3 - 1/3*k**4 + 0*k. Let j(r) be the second derivative of w(r). Determine j(-6). 11 Suppose -11*v = -4*v - 7. Let d(a) = -a**2 + 3*a**2 - 1 - a**2 + a. Determine d(v). 1 Let y(b) = 8 - b**2 - 18 - 3*b + 13*b. Give y(7). 11 Let j(f) = 2*f**2 - 7*f + 4. Let a be (-2)/5*15/(-6). Suppose -g - y - 23 = -5*g, 2*y = -g - a. Suppose -3*t + t + 5*p = -33, 21 = -t - g*p. Calculate j(t). 8 Suppose 0 = 6*h + 10 + 8. Let u(j) = -j**3 - 4*j**2 - j + 3. Calculate u(h). -3 Let s(c) = -22*c**2 - 4*c + 5. Let o(f) = -2*f**2 - f + 1. Let n(v) = -5*o(v) + s(v). Suppose 5*l - 4 = l - 4*r, -l + 5*r - 11 = 0. Calculate n(l). -13 Suppose i - 4 - 1 = -2*u, -2*i = -u + 10. Suppose x = 5*p - 17, 0*p - p + 2*x - 2 = 0. Let a(r) = -u*r + p*r + r - 6*r. Give a(2). -10 Let r(f) = 32*f + 18. Let z(c) = -7*c - 4. Let m(p) = 2*r(p) + 9*z(p). Suppose o - 8 = -5*h, -3*h = -5*o - 0*h + 12. Give m(o). 3 Let t(y) be the second derivative of -y**5/20 - 3*y**4/4 - 5*y**3/3 - 5*y**2 + y - 39. What is t(-8)? 6 Let s = 5 - 10. Let f(a) be the first derivative of -7*a - 10 - 1/2*a**2. Give f(s). -2 Let c be (-3145)/170 + 18/4. Let i(y) = y + 1. Calculate i(c). -13 Let r(h) = 4*h - 1. Suppose -4*k + 4*w = 16, 0 = -k - 5*w + 7 + 7. Let x(o) = o**2 - 2*o. Let y(a) = k*r(a) - 2*x(a). Give y(-3). -17 Let z be 8/((-288)/(-28)) + (-2)/(-9). Let s(u) = -3*u. Determine s(z). -3 Let r(n) = -3*n + 10*n - 2*n**2 + 56 - 49 + 3*n**2. Calculate r(-6). 1 Suppose -2*o = r - 1, 4*o + 6 + 7 = 3*r. Let b be 0 + (-1 - -1) + o. Let k = b - -3. Let j(y) = -y**3 + 2*y - 2. Give j(k). -6 Let p(s) = -2*s - 6. Suppose -12*t + 9*t = -3*h - 3, -4*h - t = 9. Calculate p(h). -2 Suppose -5*h = -94 + 119. Let o(k) = -2*k - 13. Give o(h). -3 Let d(v) be the third derivative of -v**4/8 + 5*v**3/3 - 46*v**2 + 2. Calculate d(9). -17 Let y(x) = -x - 3. Let z be y(-6). Let h(w) be the second derivative of w**4/12 - 5*w**3/6 - 3*w**2/2 + 481*w. Determine h(z). -9 Let z(h) be the third derivative of -h**5/60 - 5*h**4/24 + h**3/2 + 17*h**2 + 1. Let n(x) = -x - 2. Let c be n(2). Determine z(c). 7 Let t(q) = -q**2 - 5*q + 19*q - 17*q + 4. Determine t(5). -36 Let t(b) = b + 6. Suppose 110 = 5*s - 2*c, -s + 0*c = -3*c - 35. Let q = s + -41. Let u = -25 - q. Calculate t(u). 2 Let k(s) = -2 + 9*s - 4*s**2 + 3*s**2 - 8 + 3 - 3. Determine k(9). -10 Suppose 12*r + 14 = 14*r. Let y(d) be the first derivative of d**2/2 - 8*d + 5. What is y(r)? -1 Let s(z) = -579*z + 0 - 591*z - 1 + 1766*z - 587*z. Let x be 10/6 + (-1)/(-3). Suppose -x = 2*d + 2. What is s(d)? -19 Let m(t) = -23*t + 9. Let v(o) = -8*o + 3. Let b be 69/12 - 5/(-20). Let d(g) = b*m(g) - 17*v(g). Determine d(-3). 9 Let a(d) = -2*d**2 + 19*d + 18. Let s(j) = -j + 3. Let r(p) = -a(p) + 4*s(p). What is r(12)? 6 Let r(a) = 2*a**2 + 7*a + 1. Let p(w) = -w**2 - 14*w - 19. Let c be p(-13). Let o be (10/c)/(1/3). Determine r(o). 16 Let t(y) be the second derivative of 0 + 8*y - 2/3*y**3 - 1/12*y**4 + 1/2*y**2. Calculate t(-5). -4 Let o(h) = 4*h**3 + 11*h - 2. Let r(p) = -2*p**3 - 5*p + 1. Let n(b) = 4*o(b) + 9*r(b). Let z be (-10 - -9)/(-2 + 1). Give n(z). -2 Suppose -l - 3*h = -0*l - 1, 5*l + 31 = 3*h. Suppose -25 = -5*c - j - 4, 0 = -c - 2*j - 3. Let n(a) = -1 + 8 - 4*a + c*a. Determine n(l). 2 Let i = 36 + -7. Suppose -u + 4*n = -6*u - i, 4*n + 4 = 0. Let w(y) = -y**3 - 6*y**2 - 3*y + 4. Calculate w(u). -6 Let a(o) be the second derivative of -o**4/12 + o**3 - o**2 + 5*o. Let w(d) = 1. Let z(l) = a(l) + 5*w(l). Calculate z(5). 8 Let p(z) be the third derivative of -z**6/720 - z**5/120 - z**4/3 + 10*z**2. Let x(o) be the second derivative of p(o). Determine x(-6). 5 Let w(c) = -5*c**2 - 4*c - 2. Let s(b) = -b**2 + b. Let a be (-51)/12 + 3/12. Let n(r) = a*s(r) + w(r). Calculate n(-5). 13 Let s(u) be the second derivative of -u**3/6
{ "pile_set_name": "DM Mathematics" }
3 + 13476*u**4/13 - 94266*u**3/13 + 215416*u**2/13 - 161544*u/13 = 0 for u. 0, 2, 3, 6731 What is f in -20*f**2 + 17304*f - 20736 = 0? 6/5, 864 Solve n**3/4 + 84543*n**2 + 7147518849*n = 0. -169086, 0 Find k such that 13*k**5/2 - 518*k**4 + 8169*k**3/2 - 5155*k**2 - 1988*k = 0. -4/13, 0, 2, 7, 71 Suppose 54*m**3 + 5080*m**2 + 10312*m + 736 = 0. Calculate m. -92, -2, -2/27 Suppose -5*n**5 + 1950*n**4 - 226150*n**3 + 8017300*n**2 + 16720875*n + 8475470 = 0. Calculate n. -1, 89, 214 Suppose -l**5/9 - 617*l**4/9 + 413*l**3/3 + 617*l**2/9 - 1238*l/9 = 0. Calculate l. -619, -1, 0, 1, 2 Factor -5*h**5 - 470*h**4 - 16380*h**3 - 251370*h**2 - 1435455*h. -5*h*(h + 21)**3*(h + 31) Factor 2*z**2/3 + 5380*z/3 - 10768/3. 2*(z - 2)*(z + 2692)/3 Let 3*c**5/8 - 153*c**4/2 - 480*c**3 + 6075*c**2/4 + 94125*c/8 + 39375/4 = 0. What is c? -5, -1, 5, 210 Find v such that 2*v**3 + 64940*v**2 + 527085504*v - 1054430784 = 0. -16236, 2 Factor -t**3 - 312*t**2 + 32308*t. -t*(t - 82)*(t + 394) Factor -o**3/3 - 17019*o**2 - 217124105*o + 8476470925/3. -(o - 13)*(o + 25535)**2/3 Find c such that -2*c**4/5 + 5262*c**3/5 - 388658*c**2/5 + 761538*c/5 - 75628 = 0. 1, 74, 2555 Factor 3*r**2 + 116781*r. 3*r*(r + 38927) Find p, given that 2*p**2/5 + 68274*p - 341372/5 = 0. -170686, 1 Factor -5*m**4 + 3115*m**3 - 478130*m**2. -5*m**2*(m - 349)*(m - 274) Solve -3*x**2 - 32598*x + 260976 = 0 for x. -10874, 8 Factor -2*d**3/3 - 186*d**2 - 36676*d/3. -2*d*(d + 106)*(d + 173)/3 Factor -5*w**5 + 6165*w**4 + 6170*w**3. -5*w**3*(w - 1234)*(w + 1) Factor -4635409*b**2 + 301420*b - 4900. -(2153*b - 70)**2 Factor r**2/4 - 19011*r/4 + 9505/2. (r - 19010)*(r - 1)/4 What is k in -k**3 - 6279*k**2 + 6280*k = 0? -6280, 0, 1 Factor 2*n**2/7 + 18076*n/7 - 18078/7. 2*(n - 1)*(n + 9039)/7 Solve t**4/3 - 10*t**3 - 16*t**2/3 + 1280*t = 0. -10, 0, 16, 24 Let 2*p**2/5 - 480*p - 268418/5 = 0. Calculate p. -103, 1303 Suppose k**4 - 109*k**3/3 - 249*k**2 - 635*k/3 = 0. Calculate k. -5, -1, 0, 127/3 Solve q**4/4 + 15*q**3/4 - 3237*q**2/4 - 6515*q/4 - 816 = 0 for q. -64, -1, 51 Factor -3*g**3/4 + 51*g**2 - 165*g/4 - 603. -3*(g - 67)*(g - 4)*(g + 3)/4 Factor 2*m**2 - 798*m + 1588. 2*(m - 397)*(m - 2) Let 5*f**2/2 - 9480*f + 8987040 = 0. What is f? 1896 Suppose 20*q**5 - 665*q**4 + 3105*q**3 + 7205*q**2 + 2335*q - 1080 = 0. What is q? -1, 1/4, 8, 27 Factor -u**3/6 + 818*u**2/3 - 6523*u/6 - 1360. -(u - 1632)*(u - 5)*(u + 1)/6 Let -3*y**3/8 - 1767*y**2/8 - 3525*y/8 - 1761/8 = 0. Calculate y. -587, -1 Let i**4/3 - 88*i**3/3 + 329*i**2/3 + 598*i/3 - 280 = 0. What is i? -2, 1, 5, 84 Factor 4*n**3 + 196*n**2 + 2640*n + 10800. 4*(n + 9)*(n + 10)*(n + 30) Determine d so that -2*d**2 + 3380*d = 0. 0, 1690 What is w in -2*w**2/9 + 18926*w/9 = 0? 0, 9463 Let 81*o**2 - 844338*o - 62544 = 0. Calculate o. -2/27, 10424 Solve -2*q**3/7 - 488*q**2/7 + 6080*q/7 - 16384/7 = 0. -256, 4, 8 Find t, given that -2*t**5/9 - 134*t**4/9 - 2216*t**3/9 + 2560*t**2/3 + 24576*t = 0. -32, -12, 0, 9 Solve 3*c**2/5 + 403512*c/5 + 13568494512/5 = 0 for c. -67252 Suppose -i**4 + 417*i**3 + 418*i**2 = 0. Calculate i. -1, 0, 418 Suppose 3*w**5/2 - 36*w**4 + 351*w**3/2 + 291*w**2 - 432*w = 0. Calculate w. -2, 0, 1, 9, 16 Find m, given that 3*m**2/2 - 1395*m/2 - 56175 = 0. -70, 535 Factor 3*a**3 + 102*a**2 + 483*a - 588. 3*(a - 1)*(a + 7)*(a + 28) Let -4*w**5/5 + 232*w**4/5 - 1172*w**3/5 - 4048*w**2/5 + 4992*w/5 = 0. What is w? -3, 0, 1, 8, 52 Solve -3*p**3 + 420*p**2 + 2709*p - 11826 = 0 for p. -9, 3, 146 Let 3*s**3 - 3825*s**2 + 1224936*s - 3640464 = 0. What is s? 3, 636 Suppose 4*n**5/9 - 32*n**4/9 - 4*n**3/9 + 272*n**2/9 + 80*n/3 = 0. What is n? -2, -1, 0, 5, 6 Find r such that r**3/6 - 56*r**2 + 5934*r - 190440 = 0. 60, 138 Suppose -k**4/8 - 5778*k**3 - 267428727*k**2/4 - 2001816990*k - 120031067025/8 = 0. What is k? -23097, -15 Determine l so that l**3/2 - 2*l**2 - 479*l/2 + 483 = 0. -21, 2, 23 Factor -3*z**2 - 5673*z + 22740. -3*(z - 4)*(z + 1895) Let -3*u**4 - 1371*u**3 + 21171*u**2 - 32685*u - 55224 = 0. What is u? -472, -1, 3, 13 Determine h, given that 2*h**5 + 514*h**4 - 31416*h**3 = 0. -308, 0, 51 Factor 3*s**5 + 426*s**4 + 16461*s**3 - 62694*s**2 - 9998964*s - 9920232. 3*(s - 21)*(s + 1)*(s + 54)**3 Factor 4*v**3 + 160*v**2 + 716*v + 560. 4*(v + 1)*(v + 4)*(v + 35) Factor -4*f**2 - 185484*f. -4*f*(f + 46371) Suppose -135*z**5 + 1745*z**4 + 6610*z**3 + 480*z**2 = 0. What is z? -3, -2/27, 0, 16 Determine z so that 3*z**3/2 - 2213*z**2/3 - 1807*z/2 - 493/3 = 0. -1, -2/9, 493 Determine c, given that 2*c**2/3 - 3158*c/3 - 12664/3 = 0. -4, 1583 Solve -d**4 + 5*d**3 + 18*d**2 - 20*d - 56 = 0. -2, 2, 7 Let 8*k**5 + 5764*k**4 + 1132976*k**3 + 34151608*k**2 + 288797768*k + 136002244 = 0. What is k? -343, -17, -1/2 Solve 3*f**4/5 + 1758*f**3/5 - 26829*f**2/5 + 25896*f - 201936/5 = 0. -601, 4, 7 Factor 14*l**2 + 1026*l. 2*l*(7*l + 513) Factor 4*a**2 + 111584*a + 446272. 4*(a + 4)*(a + 27892) Factor -n**3/6 + 4383*n**2/2 + 10961*n + 26308/3. -(n - 13154)*(n + 1)*(n + 4)/6 Factor -2*q**3 - 7272*q**2 + 58304*q. -2*q*(q - 8)*(q + 3644) Let 3*g**5/4 + 117*g**4/2 + 741*g**3/2 - 32145*g**2 + 371763*g/4 - 122451/2 = 0. What is g? -49, 1, 2, 17 Solve -w**4/8 - 73*w**3/8 - 87*w**2/2 - 137*w/2 - 34 = 0 for w. -68, -2, -1 Factor 3*x**2/4 + 223809*x + 16696822827. 3*(x + 149206)**2/4 Factor 3*r**4 - 7659*r**3 + 15306*r**2. 3*r**2*(r - 2551)*(r - 2) Suppose -15*h**5 + 4160*h**4 - 53045*h**3 + 64740*h**2 - 15840*h = 0. Calculate h. 0, 1/3, 1, 12, 264 Let 2*l**4/7 - 198*l**3/7 - 1026*l**2/7 - 1450*l/7 - 624/7 = 0. What is l? -3, -1, 104 Let -2*q**2 + 2914*q - 11624 = 0. What is q? 4, 1453 Determine f, given that -2*f**2 - 204*f - 4320 = 0. -72, -30 Factor -5*d**3 - 4545*d**2 + 4550*d. -5*d*(d - 1)*(d + 910) Factor d**3/4 + 42*d**2 + 6755*d/4 - 5451. (d - 3)*(d + 79)*(d + 92)/4 Solve p**2/8 + 3203*p/8 - 16065/4 = 0 for p. -3213, 10 Suppose r**5/4 - 271*r**4 + 147423*r**3/2 - 146611*r**2 + 292681*r/4 = 0. What is r? 0, 1, 541 Find f such that f**5 + 54*f**4 - 287*f**3 + 468*f**2 - 236*f = 0. -59, 0, 1, 2 Factor -2*q**2/7 + 220940*q/7 - 6101810450/7. -2*(q - 55235)**2/7 Factor 4*z**3 - 3784*z**2 - 45856*z - 122624. 4*(z - 958)*(z + 4)*(z + 8) What is r in -2*r**4/5 + 544*r**3/5 - 23088*r**2/5 - 1890944*r/5 - 24165152/5 = 0? -22, 158 Factor -40322500*l**2 - 57150*l - 81/4. -(12700*l + 9)**2/4 What is s in 16*s**4/5 - 4244*s**3/5 + 284068*s**2/5 - 349536*s/5 + 69696/5 = 0? 1/4, 1, 132 Solve l**5/7 + l**4 - 31*l**3/7 - l**2 + 30*l/7 = 0 for l. -10, -1, 0, 1, 3 Solve -z**5 - 162*z**4 + 3506*z**3 - 24048*z**2 + 61655*z - 40950 = 0 for z. -182, 1, 5, 9 Determine g so that 2*g**3/13 + 10*g**2/13 - 274*g/13 - 66 = 0. -13, -3, 11 Determine t, given that -2*t**3 + 5138*t**2 + 18*t - 46242 = 0. -3, 3, 2569 Factor 2*c**2/3 + 49132*c/3 + 343826/3. 2*(c + 7)*(c + 24559)/3 Determine q so that 2*q**3 + 1154*q**2 - 2314*q + 1158 = 0. -579, 1 Factor 2*u**3/13 + 4216*u**2/13 + 171234*u + 341172. 2*(u + 2)*(u + 1053)**2/13 Factor s**2 + 95148*s + 190292. (s + 2)*(s + 95146) Find y, given that -9*y**5 + 94584*y**4 - 248566737*y**3 + 331222662*y**2 + 82876596*y - 165627096 = 0. -2/3, 1, 5254 Factor z**2 + 3*z - 1258. (z - 34)*(z + 37) Solve d**4/4 + 17575*d**3/4 - 35155*d**2/4 - 17575*d/4 + 17577/2 = 0. -17577, -1, 1, 2 Factor -2*y**5 + 90*y**4 + 98*y**3 - 266*y**2 - 456*y - 184. -2*(y - 46)*(y - 2)*(y + 1)**3 Factor -4*o**2 - 51744*o - 167340096. -4*(o + 6468)**2 Determine y, given that -2*y**5/7 - 136*y**4/7 - 2946*y**3/7 - 28548*y**2/7 - 128952*y/7 - 221616/7 = 0. -38, -9, -6 Suppose -3*x**3 + 684*x**2 - 2697*x + 2016 = 0. Calculate x. 1, 3, 224 Determine v so that 2*v**4/11 - 5232*v**3/11 + 52170*v**2/11 - 130300*v/11 = 0. 0, 5, 2606 Determine b, given that -b**3/6 + 437*b**2/2 = 0. 0, 1311 Factor -o**2 - 44472*o - 44471. -(o + 1)*(o + 44471) Factor g**2/4 - 797*g/4 - 801. (g - 801)*(g + 4)/4 Factor -m**3 - 2399*m**2 - 1458975*m - 24114177. -(m + 17)*(m + 1191)**2 Factor -5*j**2 - 3285090*j - 539590815405. -5*(j + 328509)**2 What is d in 2*d**5/7 + 6668*d**4/7 - 4*d**3/7 - 13336*d**2/7 + 2*d/7 + 6668/7 = 0? -3334, -1, 1 Determine s, given that s**3/4 + 1060*s**2 + 963037*s - 351800916 = 0. -2258, 276 Let -33*q**5/8 - 621*q**4/8 + 1599*q**3/8 + 1809*q**2/8 - 189*q/4 = 0. What is q?
{ "pile_set_name": "DM Mathematics" }
*d + 24 = y*d. Suppose 3*t = -d*v + 26700000, 0*t - v + 35600000 = 4*t. Round t to the nearest one million. 9000000 Let i = 235.1 - 236.799. Round i to one dp. -1.7 Let x = 17.132 + -0.012. Let c = x + -18. What is c rounded to one dp? -0.9 Let o = -46.4 + 9.4. Let s = 207440.470071 - 207403.47. Let a = o + s. Round a to 5 decimal places. 0.00007 Let b(x) be the third derivative of 267*x**4 + 8*x**3 + 4*x**2. Let p be b(-6). Round p to the nearest ten thousand. -40000 Let u = -0.188 - -1.268. Round u to 1 decimal place. 1.1 Let p = 3515949360 + -3495399475.01. Let b = 20549787.9899831 - p. Let d = b - -97. Round d to 6 decimal places. -0.000017 Let p = -2776.3027366 + 14870.3986636. Let v = p + -12094. Let x = v + -0.096. What is x rounded to 5 decimal places? -0.00007 Let o = 2.6 + 2. Let s = o - 4.6000007. What is s rounded to six dps? -0.000001 Suppose 0 = -g - 4*m + 23299996, -5*g = -4*g - 3*m - 23300003. What is g rounded to the nearest 1000000? 23000000 Let a = 6.5 - -2.5. Let t = 15 + a. Let v = t - 23.99955. What is v rounded to 4 dps? 0.0005 Let m = -41 - -40.87. Let y = m - -0.12999938. What is y rounded to seven decimal places? -0.0000006 Let l(v) = 46472*v**2 - 23*v - 25. Let h be l(9). Round h to the nearest one million. 4000000 Let x = -565 - -565.11284. What is x rounded to 2 dps? 0.11 Let z = -6 + -28. Let b = -34.0000024 - z. What is b rounded to 6 dps? -0.000002 Suppose -19796 = -k - 4*r, k + 59352 = 4*k + 3*r. Suppose -19190 = -5*l + k. Let b be l/10 - (-15)/25. Round b to the nearest 100. 800 Let n = -0.028029 + -0.538711. Let y = 0.57 + n. What is y rounded to 4 decimal places? 0.0033 Let x(b) = b**3 - 3*b**2 - b + 1. Let m be x(-1). Let y(r) = -4*r - 1. Let k be y(m). Suppose 3*l = k*l - 700. What is l rounded to the nearest ten? 180 Let h = -0.032 + -46.064. Let g = h + 46. What is g rounded to 2 decimal places? -0.1 Let k = 0.69800447 - 0.698. Round k to 6 dps. 0.000004 Let z = -4.7 - 2.8. Let m = z - -7.506. What is m rounded to 3 dps? 0.006 Let v be 2290 - -1*(-40)/(-4). What is v rounded to the nearest 10000? 0 Let p = 9 - 5. Let y(d) be the first derivative of 287*d**2/2 + 2*d - 230. Let g be y(p). Round g to the nearest one hundred. 1200 Let a(h) = -h**3 - 8*h**2 + 7*h - 9. Let s be a(-9). Suppose -5*d - s = -2*d. Let j be 2/d + 443/3. What is j rounded to the nearest 10? 150 Let g = -0.16 - -0.2. Let x = 35 - 35.022. Let w = g + x. What is w rounded to 2 decimal places? 0.02 Let x = -2115437.999997 + 2115435. Let t = -3 - x. What is t rounded to six decimal places? -0.000003 Let y = 2.95 + 144.75. What is y rounded to the nearest integer? 148 Let p = -11.865 - -11.8650005361. Round p to seven decimal places. 0.0000005 Let w = 0.11408 + -0.0948. Round w to two decimal places. 0.02 Let a be (954/54 + -17)/((-1)/(-5295)). Round a to the nearest one thousand. 4000 Let l = -40880 + 346380. Round l to the nearest 10000. 310000 Let v = 55.7112 + -56.5. What is v rounded to 1 decimal place? -0.8 Let n = -0.109 + 0.199. Let o = 12.69 - n. Round o to zero decimal places. 13 Let d = -1.5 + -93.5. Let o = -93.9650546 - 1.0374754. Let f = o - d. Round f to 4 decimal places. -0.0025 Let x = -1534532459705 - -1534543148020.99913. Let s = x + -10688365. Let c = -49 - s. What is c rounded to four dps? 0.0009 Let r = -1181.91692 + 1183.85. Let d = r + -1.93. Round d to 4 dps. 0.0031 Let k = 56 + -55.999462. Round k to 4 decimal places. 0.0005 Let b = -46.9 - -23.3. Let h = -23.6000263 - b. What is h rounded to six dps? -0.000026 Let r be 51306/(-15) - (222/(-30) - -7). Round r to the nearest one thousand. -3000 Let r = -33 - -22. Let m = 11.8 + r. Let z = m + -0.91. Round z to one dp. -0.1 Let u be (-6)/9*-3 - -6811. Suppose 3*v - u = 33660. Suppose -3*q - v = 18009. What is q rounded to the nearest 1000? -11000 Let l = -31.94 + -0.06. Let d = l - -31.984. Round d to 3 decimal places. -0.016 Let n = 0.075 - 0.017. Let l = -10.939 + 10.8. Let k = l + n. What is k rounded to two decimal places? -0.08 Let o = -3423.09635 - -3423. Round o to three decimal places. -0.096 Let k = -0.213724307 + 19.947763407. Let t = -0.4340588 + k. Let v = 19.3 - t. What is v rounded to six dps? 0.00002 Let i be (-6 + 7)/(1/9110). What is i rounded to the nearest 1000? 9000 Let b be (-2)/3 - (-357)/9. Let t = b - 33. What is t rounded to 0 dps? 6 Let n = 59 + -59.00352. What is n rounded to three decimal places? -0.004 Let q = 12.4 + 100.6. Let k = 113.68 - q. What is k rounded to one dp? 0.7 Suppose 0 = -a - 3*o + 194, 2*a = o + 83 + 340. What is a rounded to the nearest 100? 200 Let l(d) = -d + 8. Let t be l(0). Let z(o) = -o**3 + 22*o**2 - 16*o - 102. Let q be z(21). Suppose -t*a + q*a = -780000. Round a to the nearest ten thousand. 160000 Let x = -3652.004089 - -3652. What is x rounded to four dps? -0.0041 Let u(r) = r + 20. Let d be u(-16). Let q be (1*d)/(1 - -1). Let k be 71/(-3)*(q - 5). What is k rounded to the nearest ten? 70 Let d = 305 - 552. Let j = -246.9999867 - d. What is j rounded to 6 dps? 0.000013 Let i = 1.48 + -1.5381. Round i to three decimal places. -0.058 Let w(j) = 119*j**2 - 8*j - 15. Let l(a) = -40*a**2 + 3*a + 5. Let v(q) = 11*l(q) + 4*w(q). Let r be v(5). What is r rounded to the nearest one thousand? 1000 Let g = -53 - -52.63. Let k = 0.3701 + g. What is k rounded to 4 dps? 0.0001 Let w = -28 + 23. Let d = -4.99955 - w. What is d rounded to four dps? 0.0005 Let b = 0.092 - 0.046. Let i = -1.726 + b. What is i rounded to one decimal place? -1.7 Let x be 1 + -16 + 9 - 1728994. Round x to the nearest 10000. -1730000 Let l(d) = 299602*d - 2 + 2 - 1 + 8. Let t be l(15). Let k = -8694037 + t. What is k rounded to the nearest 1000000? -4000000 Let h = -2.42 - -0.12. Let l = -0.812315 + 3.112247. Let v = l + h. Round v to five decimal places. -0.00007 Suppose -3*h + 2 = -2*h. Suppose 3*r = -h*r - 10500000. Round r to the nearest 1000000. -2000000 Suppose 35*g = 38*g - 2037000. What is g rounded to the nearest ten thousand? 680000 Let i(m) = m + 1. Let x(s) = 657136*s. Let h(w) = -8*i(w) - x(w). Let z be 68/(-10) + 5/(-25). Let f be h(z). Round f to the nearest one million. 5000000 Let z = -88671.00125 + 88741. Let l = 70 - z. Round l to 4 dps. 0.0013 Suppose 11*v = 8*v - 5*l - 1190, 0 = v + l + 396. What is v rounded to the nearest ten? -400 Let y = 1434 - 3236. What is y rounded to the nearest 100? -1800 Let h = -0.6262 - -1.282. What is h rounded to two decimal places? 0.66 Let v(c) = -c**3 - 46*c**2 + 15*c - 4. Let k be v(-17). Round k to the nearest 1000. -9000 Suppose 0 = -5*k + 9*k + o - 21915997, 5*k = o + 27395003. What is k rounded to the nearest one million? 5000000 Let s = -0.0565 - 0.0562. Round s to three dps. -0.113 Let u = 30 + -23. Suppose 2*f - 231500 = u*f. What is f rounded to the nearest ten thousand? -50000 Let l = -264.147 - -264. Let d = l + 0.1470324. Round d to six dps. 0.000032 Let a = -0.47 + 0.473. Let w = a + 0.207. What is w rounded to one decimal place? 0.2 Suppose -5*r - 3*j = -769244, -4*j + 9 + 3 = 0. Let u(g) = -10 - 10 + r*g + 21 - 12. Let n be u(13). Round n to the nearest one million. 2000000 Let z = -19457628 + 19457630.2500111. Let q = -2.2 + -0.05. Let b = z + q. What is b rounded to six decimal places? 0.000011 Let k = -248447.94194 - 10234675797.05806. Let b = k - -10234924348.00000086. Let n = -103 + b. What is n rounded to 7 dps? 0.0000009 Suppose s - 5*s + 21120000 = 0. Suppose -3*p - 3*p = -s. Round p to the nearest 100000. 900000 Let a = -110248.33 - -110220.330052. Let k = -5.3 + -22.7. Let c = a - k. Round c to five decimal places. 0.00005 Let r = -37.5 - 36. Let i = r - -73.499673. Round i to five decimal places. -0.00033 Let b = -0.588 + -0.087. Let w = b - -0.64. Round w to 3 dps. -0.035 Suppose 0 = 2*q - 13 + 3. Let l(n) = -89*n**2 + 8*n - 5. Let a be l(q). What is a rounded to the nearest one thousand? -2000 Let m(w) = -w**3 + 15*w**2 + 30. Let t be m(9). Suppose -2008 = -4*d - 2*j, -t = -d - 5*j + j. Round d to the nearest one hundred. 500 Let w(d) = -28866*d**3 + 3*d**2 + d**2 - 3*d**2 - 133*d**3. Let g be w(-1). What is g rounded to the nearest 10000? 30000 Let c = 1.66 + -1.660244. What is c rounded to 5 dps? -0.00024 Let j = 4746990546731337.0000009 + -4746990844095083
{ "pile_set_name": "DM Mathematics" }
next in 245065, 245186, 245307? 245428 What is the next term in -2997749, -2997695, -2997641? -2997587 What is the next term in 46033, 89842, 133653, 177466? 221281 What is next in 82571, 330276, 743081, 1320974, 2063943, 2971976? 4045061 What is the next term in -46370, -354681, -1191530, -2821187, -5507922, -9516005, -15109706, -22553295? -32111042 What comes next: -1071294, -1071293, -1071292? -1071291 What is the next term in 3687, 29458, 99415, 235650, 460255? 795322 What is next in 11866, 24439, 37010, 49579, 62146? 74711 What is the next term in -480150, -480146, -480142, -480138, -480134? -480130 What is next in 35, -21, -173, -451, -885, -1505, -2341, -3423? -4781 What comes next: 1017, 1793, 2555, 3297, 4013? 4697 What is next in 2414145, 4828306, 7242461, 9656610, 12070753, 14484890? 16899021 What is the next term in -8225, -16341, -24489, -32681, -40929, -49245, -57641? -66129 What is the next term in 212368, 424781, 637224, 849691, 1062176? 1274673 What comes next: 13557, 30772, 47987, 65202, 82417? 99632 What is next in 1579, 4199, 8507, 14503, 22187, 31559, 42619? 55367 What is next in -272, -786, -1676, -2948, -4608, -6662, -9116, -11976? -15248 What comes next: -15484462, -30968922, -46453382, -61937842? -77422302 What comes next: 891, 2144, 4203, 7476, 12371, 19296, 28659, 40868? 56331 What is next in 49173, 45133, 41093, 37053? 33013 What is next in -1628762, -1628826, -1628890, -1628954, -1629018? -1629082 What is next in -27, 1366, 3493, 6354, 9949? 14278 What is next in 13436, 27132, 40828, 54524, 68220, 81916? 95612 What is next in 58581, 58571, 58559, 58545, 58529? 58511 What comes next: 32589709, 32589708, 32589707, 32589706, 32589705, 32589704? 32589703 What is next in -23128747, -23128742, -23128737, -23128732, -23128727? -23128722 What is the next term in -31092, -49024, -66956, -84888? -102820 What comes next: -34170, -34315, -34460, -34605? -34750 What is next in -1344450, -2688510, -4032570, -5376630, -6720690? -8064750 What comes next: 3453382, 6906814, 10360226, 13813612, 17266966? 20720282 What is the next term in 30129, 30278, 30437, 30612, 30809? 31034 What comes next: 40562, 81431, 122298, 163163, 204026? 244887 What is next in 28058, 112421, 253066, 449993, 703202? 1012693 What comes next: 2763752, 2763720, 2763688, 2763656, 2763624? 2763592 What is the next term in 729, 3670, 8531, 15306, 23989? 34574 What is next in -226538, -906141, -2038806, -3624533? -5663322 What is next in 99302271, 198604560, 297906851, 397209144, 496511439? 595813736 What is next in 922929, 922935, 922941, 922947, 922953, 922959? 922965 What is next in 231, -359, -1713, -4131, -7913, -13359, -20769, -30443? -42681 What comes next: -1179, -2604, -4029, -5454, -6879? -8304 What is the next term in 10844, 10196, 9548, 8900, 8252, 7604? 6956 What comes next: -6171, -12570, -19095, -25746? -32523 What comes next: -16683, -64940, -144769, -256170, -399143? -573688 What comes next: -214532, -858132, -1930798, -3432530? -5363328 What comes next: 3183, 3139, 3069, 2973, 2851? 2703 What is next in -18183383, -36366764, -54550145, -72733526, -90916907, -109100288? -127283669 What comes next: -468940, -937928, -1406916, -1875904? -2344892 What is the next term in -7445818, -7445816, -7445814, -7445812? -7445810 What is next in -2004, -2023, -2070, -2145, -2248? -2379 What comes next: -1840, -1403, -232, 2039, 5776, 11345, 19112? 29443 What comes next: -5201, -15922, -32157, -53906, -81169, -113946? -152237 What is the next term in 9236, 73890, 249378, 591116, 1154520, 1995006, 3167990? 4728888 What is the next term in -647, 3566, 15055, 37456, 74405, 129538? 206491 What comes next: -61, 663, 2643, 6503, 12867, 22359, 35603, 53223? 75843 What is next in 1142773, 4571035, 10284803, 18284077? 28568857 What is next in -4016, -16113, -36326, -64697, -101268? -146081 What is the next term in 151294, 302590, 453886, 605182? 756478 What comes next: 1385, 3968, 6695, 9638, 12869? 16460 What is next in 472, 413, 366, 325, 284, 237? 178 What is the next term in -2631770, -2631771, -2631772, -2631773, -2631774, -2631775? -2631776 What is next in -8074, -33839, -76772, -136873? -214142 What comes next: -25786, -25919, -26138, -26443, -26834? -27311 What is the next term in -3278431, -3278428, -3278425, -3278422, -3278419, -3278416? -3278413 What is the next term in 695873, 2783409, 6262607, 11133461, 17395965, 25050113, 34095899, 44533317? 56362361 What is the next term in 38808, 77567, 116326? 155085 What is the next term in 201125, 201116, 201101, 201080, 201053, 201020, 200981? 200936 What is the next term in -9435, -18896, -28391, -37920, -47483, -57080, -66711? -76376 What comes next: -6429, -6393, -6357, -6321? -6285 What is next in -954, -1987, -3028, -4077, -5134? -6199 What is next in -4380888, -8761769, -13142650? -17523531 What is the next term in 1818697, 3637381, 5456063, 7274749, 9093445, 10912157, 12730891, 14549653? 16368449 What is next in 679, 4261, 13951, 32803, 63871, 110209, 174871? 260911 What is next in -15754, -31521, -47320, -63163, -79062, -95029, -111076? -127215 What is next in -2166, -3748, -7984, -16200, -29722, -49876, -77988? -115384 What is next in 51, -61, -587, -1791, -3937, -7289, -12111, -18667? -27221 What is next in 141598, 283176, 424748, 566314? 707874 What comes next: -342979, -2743825, -9260405, -21950587, -42872239, -74083229, -117641425? -175604695 What is the next term in 1981588, 1981586, 1981584, 1981582, 1981580? 1981578 What comes next: 5904, 11696, 17488, 23280, 29072, 34864? 40656 What comes next: -8925, -10641, -12357, -14073, -15789? -17505 What comes next: 430462573, 430462571, 430462567, 430462561, 430462553, 430462543? 430462531 What is next in -3345603, -3345562, -3345523, -3345486, -3345451, -3345418, -3345387? -3345358 What is the next term in -70418, -70011, -69332, -68381, -67158, -65663, -63896? -61857 What comes next: 581720, 1163505, 1745294, 2327087? 2908884 What is next in 25914, 103703, 233372, 414939, 648422, 933839, 1271208, 1660547? 2101874 What is the next term in -52370, -52240, -52110? -51980 What is the next term in 1231536, 1232101, 1232666, 1233231, 1233796? 1234361 What comes next: 1106, 5282, 12246, 22004, 34562? 49926 What is the next term in -5035, -11922, -20667, -31270, -43731? -58050 What is next in -30092, -59511, -88928, -118343, -147756? -177167 What is next in -17582, -65548, -145490, -257408, -401302, -577172? -785018 What is next in -4184, -8313, -12448, -16595, -20760, -24949, -29168, -33423? -37720 What is next in 14340, 14297, 14256, 14217, 14180, 14145? 14112 What is next in -1486286, -1486303, -1486320? -1486337 What comes next: 776644, 776640, 776636, 776632, 776628, 776624? 776620 What is next in 1921201, 1921199, 1921189, 1921165, 1921121, 1921051? 1920949 What comes next: 273578632, 547157266, 820735900, 1094314534, 1367893168, 1641471802? 1915050436 What is the next term in -140, -1619, -4454, -8645, -14192? -21095 What is the next term in 2222, 3909, 5590, 7265, 8934, 10597? 12254 What is the next term in 11500, 41185, 90666, 159943, 249016, 357885, 486550? 635011 What comes next: -3216, -12915, -29086, -51735, -80868, -116491, -158610? -207231 What is the next term in -1305, -1400, -2109, -3738, -6593, -10980, -17205, -25574? -36393 What is next in 1817716, 1817715, 1817714, 1817713, 1817712? 1817711 What is next in 696, 1781, 3736, 6981, 11936? 19021 What is next in -2621, -2910, -3231, -3584, -3969? -4386 What comes next: -1259466, -1258984, -1258502, -1258020? -1257538 What comes next: 2173893, 2173892, 2173891, 2173890, 2173889? 2173888 What is next in 3863, 4152, 4441, 4730? 5019 What is the next term in -3742152, -7484321, -11226490, -14968659? -18710828 What is the next term in -4076, -16642, -37696, -67238, -105268? -151786 What comes next: 763, 558, -603, -2720, -5793, -9822, -14807? -20748 What comes next: -3311797, -6623684, -9935569, -13247452? -16559333 What is next in -428, -201, 216, 823? 1620 What comes next: 32629359, 32629354, 32629347, 32629338? 32629327 What comes next: -2060, -3093, -4132, -5177? -6228 What is next in 11352891, 11352808, 11352725, 11352642, 11352559? 11352476 What is the next term in 185995, 372008, 558021, 7440
{ "pile_set_name": "DM Mathematics" }
r**2 + r**2 + 20*r What is the second derivative of 120*q**4 - q**3 - 370*q - 9 wrt q? 1440*q**2 - 6*q Differentiate -202*z - 135. -202 What is the second derivative of -419*g**2*w**2 - 26*g**2*w - 2*g*w wrt w? -838*g**2 Differentiate -6290*h + 304 wrt h. -6290 Find the first derivative of 4*a**3*s - 10*a**3*w**3 - a**3*w + 22*a**3 + a*s*w wrt w. -30*a**3*w**2 - a**3 + a*s Find the third derivative of 22399*l**4 + l**2 - 14947. 537576*l Find the second derivative of -3*l**5 + 658*l**2 + 87*l + 1. -60*l**3 + 1316 Find the third derivative of -20*s**6 + 10*s**5 - 1473*s**2. -2400*s**3 + 600*s**2 What is the derivative of -2340*s**2 - 2*s - 17366? -4680*s - 2 What is the second derivative of 42*m**3 + 41*m**2 - 983*m? 252*m + 82 What is the third derivative of 178*x**6*z**3 + 2*x**4 + 280*x**2 + 2*x*z**2 + 2*z**3 wrt x? 21360*x**3*z**3 + 48*x Find the third derivative of -3*f**5 + 151*f**3 + 80*f**2 + f. -180*f**2 + 906 Find the first derivative of 3530*w**4 - 4083. 14120*w**3 Find the third derivative of -1723*a**3 + 2111*a**2. -10338 Differentiate -4*f**2*i**2 - 240*f**2 - 2*f*i**3 - 2*i**3 wrt i. -8*f**2*i - 6*f*i**2 - 6*i**2 Find the first derivative of 24846*f**2 - 8255. 49692*f What is the second derivative of -35*n**5 - 4*n**2 + 50*n? -700*n**3 - 8 What is the second derivative of -948*s**2*u**2 - 18*s**2*u + 5 wrt u? -1896*s**2 What is the second derivative of -1357*l**3 - 3*l + 269 wrt l? -8142*l Differentiate 2*g*i**3 + 2828*g*i**2*q + 8*g*i**2 - 2*i**3*q**2 + i**3 - 125*i**2 wrt q. 2828*g*i**2 - 4*i**3*q What is the third derivative of 418*q**3 + 16*q**2 - 27 wrt q? 2508 Find the second derivative of -246*l**5 - 209*l + 1. -4920*l**3 What is the second derivative of -23178*s**2 - 8261*s? -46356 What is the second derivative of -834*t**4 - 1519*t wrt t? -10008*t**2 What is the second derivative of -2*w**5 - 41*w**4 - 763*w wrt w? -40*w**3 - 492*w**2 Find the third derivative of -s**3*u*v - 4*s**3*v + 3*s**3 - 2*s**2*v + 20*s**2 + s*u wrt s. -6*u*v - 24*v + 18 Find the third derivative of -12294*m**3 + 10*m**2 - 308 wrt m. -73764 What is the second derivative of -1035*m**2*v + 4*m*v + 2*m wrt m? -2070*v Find the third derivative of -78*m**2*s**6 + 11*m**2 - 27*m*s**2 - 14*s**6 - s**2 wrt s. -9360*m**2*s**3 - 1680*s**3 Find the third derivative of -72*v**3 - 183*v**2 wrt v. -432 Find the third derivative of -1953*a*q**5 + 2942*a*q**2 + 2*q**6 wrt q. -117180*a*q**2 + 240*q**3 Find the second derivative of 7*j*v**3 + 172*j*v**2 + 88*j*v - j + 1 wrt v. 42*j*v + 344*j Find the first derivative of 447*n - 1709 wrt n. 447 Find the first derivative of m**2*o - 67*m**2 + 1569*o**3 wrt o. m**2 + 4707*o**2 Differentiate 5*l**2 + 2*l + 9 wrt l. 10*l + 2 Differentiate 2*b**3*d**2 - 85*b**3*d - 2*b**3 + 2*b**2*d**2 - 17*b**2 with respect to d. 4*b**3*d - 85*b**3 + 4*b**2*d Find the third derivative of -261*q**6 - 432*q**2. -31320*q**3 What is the second derivative of -6*g*h**3 - g*h**2 - 2*g*h + 12*g - 23*h**3 + 45*h wrt h? -36*g*h - 2*g - 138*h Find the third derivative of -190*p**3*y + 2*p**2*y + 43*p*y wrt p. -1140*y Find the second derivative of t**3 - t**2*v - 2*t**2 + 14*t*v - 3*v wrt t. 6*t - 2*v - 4 What is the third derivative of 79*u**5 + 4*u**4 + 39*u**2 + u wrt u? 4740*u**2 + 96*u What is the second derivative of 37*w**3 - 106*w wrt w? 222*w What is the third derivative of -38*c**6 + 23*c**3 + 30*c**2 - 19*c + 2 wrt c? -4560*c**3 + 138 What is the first derivative of 2*c*x - 22*c + 2*x**2 - 94*x - 1 wrt x? 2*c + 4*x - 94 What is the first derivative of -265*f + 7530? -265 What is the second derivative of -5*c**4*u + c**3*u**2 + 4*c**3 - 2*c*u + 7*u**2 wrt c? -60*c**2*u + 6*c*u**2 + 24*c What is the first derivative of 298*y + 18? 298 Differentiate 635*m**2*o - 2*m*o**3 - 36*o**3 - 4 with respect to m. 1270*m*o - 2*o**3 What is the second derivative of 3405*p**2 + 144*p - 9? 6810 What is the third derivative of -5*g**5*p**3 - 3231*g**3*p**3 - 55*g**2*p**3 - 48*g*p**3 wrt g? -300*g**2*p**3 - 19386*p**3 Differentiate -40*s**3 + s*v - 175*v with respect to s. -120*s**2 + v What is the second derivative of 2435*n**2 - 513*n? 4870 Find the second derivative of -8013*p**3 - 1723*p wrt p. -48078*p What is the second derivative of -4*n**2*q**2*x + 2*n**2*q**2 + 51*n**2*q - n*q + 26*q**2*x + 36*q*x wrt q? -8*n**2*x + 4*n**2 + 52*x Find the third derivative of q**4*r**3 - 681*q**4 - 32*q**2*r**3 + 5*q**2*r wrt q. 24*q*r**3 - 16344*q What is the second derivative of -114*u**3 + 23*u**2 + 3*u + 220? -684*u + 46 Differentiate -11*m**3*p**3 - 111*m*p**3 - 977*p**3 with respect to m. -33*m**2*p**3 - 111*p**3 What is the second derivative of 37*k**2*x**2 + 384*k**2*x - 3*k*x**2 - x - 2 wrt x? 74*k**2 - 6*k What is the third derivative of 341*l**3 + 357*l**2? 2046 Find the third derivative of 259*r**3 - 1467*r**2. 1554 What is the third derivative of -2*u**5*v + 101*u**4*v**3 + 2*u**2*v**2 - 73*u*v**3 + v**3 wrt u? -120*u**2*v + 2424*u*v**3 Find the first derivative of -4972*r**2 - 1420. -9944*r What is the first derivative of -6*l**4*s**3 - 4*l**2*s**3 - s**3 + 101*s**2 wrt l? -24*l**3*s**3 - 8*l*s**3 What is the first derivative of l**2 + 226*l + 953? 2*l + 226 What is the third derivative of 15*b**5 - 51*b**4 - 3*b**2 - 126*b? 900*b**2 - 1224*b What is the third derivative of -2*j**5 + j**3*x**3 - 34*j**3*x**2 + 2*j**2*x**3 - j**2 - 1044*x wrt j? -120*j**2 + 6*x**3 - 204*x**2 What is the third derivative of -15443*h**5 + 35*h**2 + 6*h? -926580*h**2 What is the second derivative of 4*j**3*t - 2*j**2*t - 4*j**2 + 97*j*t + 3*t - 3 wrt j? 24*j*t - 4*t - 8 Find the second derivative of -4*j*l**4 - 2*j*l**2 + 25*j*l + 5*j wrt l. -48*j*l**2 - 4*j Find the second derivative of 12247*a**2*k**3 - 330*a**2 - 2*k wrt k. 73482*a**2*k What is the third derivative of 2251*y**3 - 6*y**2 + 72*y - 1 wrt y? 13506 Find the first derivative of -3*d**3*p**2 - 199*d**3 - 3*d*p**4 - 186*d*p wrt p. -6*d**3*p - 12*d*p**3 - 186*d What is the third derivative of -1033*o**4 - 397*o**2 + 2 wrt o? -24792*o What is the second derivative of d**4*q - 3*d**2*q + d*q - 25*q wrt d? 12*d**2*q - 6*q What is the second derivative of -l**4*m - 113*l**3*m - 2*l**2 - 22*l*m - 128*m wrt l? -12*l**2*m - 678*l*m - 4 Find the second derivative of 31*y**5 + 10*y**3 - 293*y - 2 wrt y. 620*y**3 + 60*y Find the third derivative of -111*b*f**6 + 2*b*f**5 - b*f**2 + 191*f**2 wrt f. -13320*b*f**3 + 120*b*f**2 Find the third derivative of -765*h**3 + 1685*h**2 wrt h. -4590 Find the first derivative of 15*j**4 + 3*j**2 + 162 wrt j. 60*j**3 + 6*j What is the derivative of -6580*u - 2232 wrt u? -6580 Find the third derivative of 2*s**2*x**3 + s**2*x**2 - 266*s*x**4 + s*x**2 + 5*x**2 wrt x. 12*s**2 - 6384*s*x What is the third derivative of -7*d**5 - 24*d**4 + 2*d**3 - 12*d**2 + 64*d - 3 wrt d? -420*d**2 - 576*d + 12 Differentiate 2924*h*m + 1912*h with respect to m. 2924*h What is the first derivative of -656*s + 777? -656 What is the third derivative of 15*k*m*x**3 - 12*k*x**2 - 23*k*x + m*x**2 + 53*x**3 wrt x? 90*k*m + 318 Find the third derivative of 2*f**3*q*s**2 + 138*f**3*s**3 - f**2*s**2 + f*q*s**3 + 9*f*q*s**2 - 4*q wrt s. 828*f**3 + 6*f*q Differentiate -197*i**2*p + 2*i**2 + 14 with respect to p. -197*i**2 Find the third derivative of -3*r**3*y**3 + 10*r**3*y + 9*r**2*y**3 + 14*r*y**3 wrt r. -18*y**3 + 60*y Find the third derivative of 1919*d**5 + d**3*i**2 + 4*d**2*i**2 + 113*d**2*i wrt d. 115140*d**2 + 6*i**2 Find the first derivative of 1445*f**2 - 1486 wrt f. 2890*f What is the derivative of 69*b**3*i + 150*b**3*p + 2*b*i*p - 2*p wrt i? 69*b**3 + 2*b*p What is the third derivative of 16*c**3*f*v*w**3 + 4*c**3*f*v + 2*c**3*f + 46*c**2*f*v*w - 2*c**2*f*v + 18*f*w**3 - 2*v*w**3 wrt c? 96*f*v*w**3 + 24*f*v + 12*f Find the third derivative of 34*a*i**6*j**2 - 3*a*i**2*j**2 - 11*a*j**2 + 3*a - i**4*j**2 wrt i. 4080*a*i**3*j**2 - 24*i*j**2 Differentiate -686*u - 1504 with respect to u. -686 Find the third derivative of 2*q**3*x**3 + 10*q**3 + 26*x**3 - 11*x**2 wrt x. 12*q**3 + 156 Find the second derivative of 243*x**4 - 2*x**2 + 2551*x. 2916*x**2 - 4 Find the first derivative of -7*m**2*u - m - 1013*u wrt m. -14*m*u - 1 Find the second derivative of -3*g*p**2 + 2*g*p + 3*g + 55*p**4 + p**2 + 120*p w
{ "pile_set_name": "DM Mathematics" }
*2 Let c(u) = 12 - 113 + 40 + u + 22 + 18 + 20. Let i(x) = -3*x - 4*x + 2*x + 5. Determine 4*c(f) + i(f). -f + 1 Let a(q) = -7*q**2 + 5*q - 9. Let j(n) = 10*n**2 - 7*n + 14. Let c(s) = -2*s**2 - 36*s - 41. Let p be c(-17). What is p*a(h) - 5*j(h)? -h**2 - 7 Let f(h) = h**2 + 31*h - 177. Let n be f(-36). Let z(a) be the second derivative of -a**2 - 16*a + 2/3*a**n + 0. Let l(w) = 2*w - 1. Give -7*l(u) + 4*z(u). 2*u - 1 Let o be (-4 + 24)/(-1 - -3). Let p(u) = -3*u - u + 18 - 36 + 14 + o*u**2. Let v(n) = 9*n**2 - 3*n - 3. Calculate 4*p(g) - 5*v(g). -5*g**2 - g - 1 Let q(t) = -16. Let n(j) = -j + 1. Let h be (-48)/(-51) + (-9)/(-153). Determine h*n(x) - q(x). -x + 17 Let d(s) = s - 21. Let h(j) = 2*j - 59. Let k(r) = 12*d(r) - 4*h(r). Let v(w) = -10 - 4*w + 5*w + 7. Give 2*k(a) - 11*v(a). -3*a + 1 Suppose -3*a + 2690 = -4*g, -5*a = -2*g - a - 1350. Let u = g + 664. Let n(j) = -5*j**2 + j - 4. Let r(l) = -2*l**2 - 1. What is u*r(q) + 2*n(q)? 4*q**2 + 2*q - 1 Let i be 393 + (0 + 0)*1/(-2). Let h(l) = -195*l - 202*l + i*l - 6. Let v(q) = -6*q - 9. What is 7*h(k) - 5*v(k)? 2*k + 3 Let g(c) = -1965*c + 3936. Let l be g(2). Let y(j) = 6*j - 19. Let o(r) = r - 3. Give l*y(w) - 39*o(w). -3*w + 3 Let n(m) = -58*m**3 + 6*m**2 - 5*m + 5. Let f(a) = -115*a**3 + 10*a**2 - 11*a + 9. What is -3*f(l) + 5*n(l)? 55*l**3 + 8*l - 2 Let x(l) = -1057945*l**2 + 5010*l. Let p(j) = 845*j**2 - 4*j. What is 5010*p(m) + 4*x(m)? 1670*m**2 Let t(o) = -o + 1. Let l = -36 - -84. Let n be l/12 + 2*3. Let i be (-16)/12*(n - 1). Let k(p) = -4*p + 3. Give i*t(j) + 4*k(j). -4*j Let p(h) = -2*h**2 - h + 2. Let z(f) = 9*f**2 + 4*f - 9. Determine 5*p(a) + z(a). -a**2 - a + 1 Let q(x) = -3*x - 90. Let w(c) = -7*c - 179. Determine -5*q(l) + 3*w(l). -6*l - 87 Let g(t) = 11*t + 357. Let d be g(-31). Let f(q) = -39*q - 7. Let l(k) = -118*k - 22. Determine d*f(a) - 5*l(a). -34*a - 2 Let r(f) = f - 1. Let v be (-98)/(-28)*3/7*-4. Let t(d) = 8*d + 1. Calculate v*r(a) + t(a). 2*a + 7 Let g(f) = -8*f**2. Let c(u) = -3067*u - 1 + u**2 + 6145*u - 3078*u + 0*u**2. Calculate -2*c(b) - g(b). 6*b**2 + 2 Let c(d) = -26*d**3 - 2*d**2 - d - 2. Let v = -5747 - -5729. Let p(n) = 104*n**3 + 9*n**2 + 5*n + 9. Calculate v*c(o) - 4*p(o). 52*o**3 - 2*o Let p(b) = 20266*b + 10. Let m(o) = 30386*o + 16. Give 5*m(v) - 8*p(v). -10198*v Let s(m) = 2*m + 2. Let v(w) = 2*w**2 - 4*w + 26. Calculate 6*s(t) + v(t). 2*t**2 + 8*t + 38 Let l(j) = 94085*j**2 - 607*j - 607. Let o(i) = 619*i**2 - 4*i - 4. Give -4*l(c) + 607*o(c). -607*c**2 Let y(i) = 2*i**2 - 111*i + 870. Let v be y(46). Let x(f) = 9*f**3 + 6*f - 3. Let c(h) = 10*h**3 + 5*h - 2. Determine v*x(d) + 5*c(d). 14*d**3 + d + 2 Let s(h) = -h + 0*h**2 + 3*h**2 + 4*h. Suppose -9*l + 5*l - 2*c - 26 = 0, 0 = -5*l + 3*c + 28. Let a(o) = o. Determine l*s(y) + a(y). -3*y**2 - 2*y Let v(y) = 3*y + 9. Let i(s) = 289*s - 581. Let g be i(2). Let a(r) = -2*r - 8. Determine g*v(n) - 4*a(n). -n + 5 Let w(f) = f**2 - 1. Let h(k) be the third derivative of -k**5/30 - k**4/24 + k**3/6 + 2*k**2 - 160*k - 2. Give h(j) + 4*w(j). 2*j**2 - j - 3 Let u(n) = 238*n**2 + 3*n + 111. Let d(p) = -239*p**2 - 3*p - 93. What is 6*d(a) + 5*u(a)? -244*a**2 - 3*a - 3 Let g(n) = 5*n + 11. Let j(x) = 98*x + 5. Let m(f) = -33*f - 2. Let z(t) = j(t) + 3*m(t). Calculate g(v) + 4*z(v). v + 7 Let h(i) = 1317*i**3 - 9*i - 13. Let c(d) = -330*d**3 + 2*d + 3. What is 13*c(k) + 3*h(k)? -339*k**3 - k Let z(r) = 2*r**2 - 104*r + 1222. Let w be z(34). Let c(x) = x + 1. Let k(h) = -4*h - 2. Calculate w*c(f) - 2*k(f). 6*f + 2 Let q(m) = 17*m + 1525175 - 1525175. Let n(u) = -u. Give -2*n(d) + q(d). 19*d Let h(t) = 3*t**3 + 6*t**2 + 4*t - 65. Let v(d) = 4*d**3 + 5*d**2 + 3*d - 52. Give -3*h(g) + 4*v(g). 7*g**3 + 2*g**2 - 13 Let r(p) = -6391*p**3 - 6*p**2 - 9*p + 3. Let i(c) = -6390*c**3 - 4*c**2 - 6*c + 2. Give 3*i(h) - 2*r(h). -6388*h**3 Let u(w) = 4*w**3 - 2*w**2 + 2*w - 23. Suppose -82*n + 2*o + 18 = -78*n, -2*n + 3*o + 19 = 0. Let k(m) = -9*m**3 + 5*m**2 - 5*m + 45. Give n*k(t) + 5*u(t). 2*t**3 - 25 Let b(k) = -8*k - 10. Let l(m) = -3*m - 3. Suppose 287*f + v = 286*f + 3, f - 3 = -5*v. Calculate f*b(w) - 10*l(w). 6*w Let b(n) = -17*n**2 + 80*n. Let d(f) = 12*f**2 - 57*f. Let o(u) = -5*b(u) - 7*d(u). Let k(i) = 3*i**2 - 3*i - 2. What is k(y) - 4*o(y)? -y**2 + y - 2 Let v(l) = -l**3 + 4. Let u = 5 + -3. Let a(y) = 51*y - 51*y - 490*y**3 + 491*y**3 - 9. What is u*a(p) + 5*v(p)? -3*p**3 + 2 Let k(y) = 1983*y - 165. Let s(z) = -496*z + 43. Determine -6*k(g) - 23*s(g). -490*g + 1 Let g be (-2)/13 - 6/(-117)*42. Suppose -7*d = 12 + g. Let q be d*1/3*(-420)/(-56). Let v(x) = -x**3 + x**2 - 7. Let a(o) = o**3 + 3. Determine q*a(z) - 2*v(z). -3*z**3 - 2*z**2 - 1 Let v(m) = -m**3 + 10*m**2. Let k(i) = 20*i**3 - 70*i**2 + i + 42. Calculate 2*k(h) + 14*v(h). 26*h**3 + 2*h + 84 Let w(f) = 10*f - 3. Let q(u) = 13. Let p(c) = -7. Let l(y) = 2*p(y) + q(y). Calculate -5*l(g) + w(g). 10*g + 2 Let u(p) = 20035 - 13*p**3 - 13*p - 40054 + 20032. Let w(r) = r - 1. What is 3*u(b) + 39*w(b)? -39*b**3 Let z(m) = 9*m - 9. Suppose 0 = j + j + 4*t + 4, j = 3*t - 7. Let h be 1/(-4)*j*-11. Let b(f) = -5*f + 5. What is h*b(v) - 6*z(v)? v - 1 Let k(w) = 4*w + 16. Let s(b) = 7*b**2 - 313*b - 91. Let n be s(45). Let u(d) = d + 1. Give n*k(t) + 2*u(t). -2*t - 14 Let r = 4 + -6. Let j(s) = 5*s + 2. Let u = -221563 + 221590. Let n(v) = -66*v - 27. Let l(y) = -198*y - 81. Let p(w) = 2*l(w) - 7*n(w). Give r*p(g) + u*j(g). 3*g Let j(x) = -3*x**2 - 11*x + 3. Let d(b) = 71*b + 66*b**2 + 1 - 44*b**2 - 72*b - 23*b**2. Determine -2*d(n) + j(n). -n**2 - 9*n + 1 Let t(a) = 7*a**2 + 3*a - 3. Let n(g) = -8*g**2 - 4*g + 4. Suppose 0 = 4*b + b + 20. Let o = -40 - -28. Let v = 9 + o. What is b*t(f) + v*n(f)? -4*f**2 Let l(p) = 31*p**3 + 96*p - 9. Let q(a) = -16*a**3 - 52*a + 5. Let o(b) = 6*l(b) + 11*q(b). Let u(k) = 20*k**3 + 7*k + 2. What is -7*o(t) + 4*u(t)? 10*t**3 + 1 Let v(d) = -d**3 + 2*d**2 + 4*d. Let f be 256/(-96) - (-4)/6. Let p be ((-2 + 3)/(f/(-8)))/(-1). Let j(q) = -q**2 - q. Calculate p*j(a) - v(a). a**3 + 2*a**2 Let v(l) be the first derivative of 23*l**2/2 + 5*l - 8066. Let a(j) = 22*j + 6. Give 3*a(u) - 4*v(u). -26*u - 2 Let f(x) = -x**2 - 5*x - 1. Let l be 1664/6 + 2 - (-4)/6. Let c be l/32 + (-9)/12. Let k(j) = -10*j + 3*j + c*j. What is -f(u) - 5*k(u)? u**2 + 1 Suppose 10 = -4*r - r. Let o(y) = 9*y**2 + 68*y - 63. Let s(k) = 10*k**2 + 80*k - 74. Let u(t) = -7*o(t) + 6*s(t). Let l(m) = -m**2 + m - 1. Give r*l(x) + u(x). -x**2 + 2*x - 1 Let p(b) = -1056*b - 10. Let u(v) = -3163*v - 36. Determine -7*p(x) + 2*u(x). 1066*x - 2 Let h(f) = -1709*f - 272. Let u(a) = 1708*a + 254. Give 14*h(b) + 15*u(b). 1694*b + 2 Let g(q) = 8555*q**3 - 5*q**2 - 8*q + 4. Let c(k) = 25647*k**3 - 14*k**2 - 22*k + 11. Calculate 4*c(t) - 11*g(t). 8483*t**3 - t**2 Let p(m) = -312*m - 5. Let d(u) = -311*u - 8. Give 4*d(t) - 6*p(t). 628*t - 2 Let i(n) = 158*n + 47. Let u(o) = -53*o - 14. Calculate -2*i(w) - 7*u(w). 55*w + 4 Let l be -2*((-132)/(-8) + -15). Let h(a) = 4*a**3 + 3*a**2 + 12*a. Let j(p) = 7*p**3 + 5*p**2 + 24*p. Give l*j(q) + 5*h(q). -q**3 - 12*q Let g(f) = -5*f + 7 + 3*f + 0*f - 6*f. Let h be 22/((0 + -3)*(-356)/(-534)). Let n(b) = -23*b + 20. Calculate h*g(p) + 4*n(p). -4*p + 3 Let o = 10731 - 10727. Let f(p) = 5*p**2 - 4*p - 4. Let v be ((-2)/(-3))/(4/12). Let a(x) = -7*x + 7*x - 5 + 10*x**v - 4 - 9*x. Calculate o*a(s) - 9*f(s). -5*s**2 Suppose 5*s = 3*s - 16. Let p(q) = 23*q**2 - 8*q + 8. Let r(u) = -15*u**2 + 5*u - 5. Let n(b) = -2*b**2 - 45*b + 238. Let f be n(-27). What is f*p(d) + s*r(d)? 5*d**2 Let w(l) = -137595*l - 9173. Let h(x) = -14*x - 1. Calculate 9173*h(q) - w(q). 9173*q Let c(v) = -13*v - 3682. Let s(p) = 6*p + 1844. Give 4*c(y) + 9*s(y). 2*y + 1868 Let n(p) = -52*p**2 + 78*p. Suppose 184*o + 25 + 34 = 243. Let t(v) = -v**2 + v. Calculate o*n(r) - 78*t(r). 26*r**2 Let y(h) = -43*h**2 - 3*h + 7. Let t(j) = 22*j**2 + j - 4. Calculate -11*t(n) - 6*y(n). 16*n**2 + 7*n + 2 Let w(t) = 1. Let a(y) be the second derivative of -5*y**3/6 - 7*y**2/2 - 3420*y - 2. What is a(i) + 4*w(i)? -5*i - 3 Let o(m) = 2813*m - 48. Let s(d) = -3750*d + 66. What is 11*o(b) + 8*s(b)? 943*b Let a = 5668 + -5669. Let y(g) = -g**3 - 10*g**2. Let c(l) = l**3 + l**2. Determ
{ "pile_set_name": "DM Mathematics" }
6) - (2 - (-2)/(-1)). Which is the closest to 3? (a) 1/2 (b) y (c) -3 (d) -0.4 a Let w be ((-16)/(-55))/((-2)/7 + (-168)/(-245)). What is the nearest to w in -1, -1/6, -1/4? -1/6 Let t = 127.39 - 0.39. Let j = t - 131. Let q = -0.8 + -0.2. Which is the closest to q? (a) j (b) 3/5 (c) 2/5 c Let f = -420 - -416. Let g = -3.04 + 3. Let k = 1.96 - g. What is the nearest to k in -0.2, f, -0.4? -0.2 Let w = 3.05 + -0.05. Let h = 0.3 + 0.7. Let f = -486483/8 - -60810. What is the closest to h in w, 1/3, f? 1/3 Let g be ((-2)/(-4))/(16 + 477/(-30)). Which is the nearest to -1? (a) -4.24 (b) -5 (c) g (d) 4/3 d Let a = 1440 - 1439.9. What is the nearest to 0 in -4, a, -33? a Let y be ((-1)/1)/(8/(-12)). Let n be (4/18)/(935/306 - 3). Suppose -f + 2 = f. Which is the closest to f? (a) y (b) n (c) 0.2 a Let p = -23104.6 + 23105. Which is the closest to 8? (a) -1 (b) p (c) -0.1 (d) 1 d Let f = 493.4 + -493.5. What is the nearest to f in -4, 61, -5? -4 Let l = -81/154 + 1/14. Let q = 69/55 + l. Let n = 3 + -1. Which is the closest to 0.3? (a) n (b) q (c) 0.5 c Let o = 5634 + -5639. What is the nearest to 0 in o, -0.04, -1, -3/7? -0.04 Let v = 3851 + -3853. What is the closest to 1 in v, -0.2, 3, 2/5? 2/5 Let i = 1008 - 1008. Suppose 0 = -4*m + 2*w - 12, -3*m - 2*m + 2*w - 17 = i. Let f = 21/50 + 2/25. What is the closest to f in -4, m, -0.2? -0.2 Let g = -1732 + 1734. Suppose -4*h - 9 + 5 = 0. What is the closest to -2/7 in g, -0.3, h? -0.3 Suppose 2*f = -o - 2*f - 15, 2*o = -f - 2. Let y = 215 - 215. Let n = -0.03 + -0.37. Which is the closest to 27? (a) n (b) o (c) y b Let i = 5357 - 5355. Which is the nearest to 0.01? (a) i (b) 0.06 (c) 3 (d) -0.3 b Let p = -6520.91 + 6521. Which is the nearest to -2? (a) -3 (b) -0.6 (c) p (d) 2 a Suppose -6*d - 20 = -d. Let p be 1*(-1 - 1)*(-2)/d. Let f = -0.44 - -0.24. Which is the nearest to 2/13? (a) f (b) 4 (c) p a Let g = 11.8 - -45.2. Let h = 57 - g. Let y = -1.6 + 2. Which is the nearest to 1? (a) -2/3 (b) h (c) y c Let z = 208/5 + -41. Let l = -10957 + 10956. Which is the nearest to l? (a) -5/3 (b) z (c) -0.2 a Let z = -0.1 - 0.1. Let d = 103 - 102. Let q be ((-80)/12)/d - -6. Which is the closest to -5? (a) z (b) -2/7 (c) q c Let q = 175.8 - 32.8. Let m = -138 + q. Let d = 1 + -2. What is the closest to d in -2, m, 0.2? -2 Let y = -1741 - -1737. What is the nearest to -1 in -0.5, -2/5, y, 1/2? -0.5 Let j = -5 - -1. Let r(h) = 35*h**2 - 401*h - 231. Let s be r(12). What is the nearest to 0 in -6/5, j, s? -6/5 Let i be (3/(-5) - (-14 - (-1552)/80)) + 2. What is the nearest to -2/17 in i, -4/9, -0.5, 2/5? -4/9 Let l = 81 - 93. Let q be (-2)/(l/8*12/(-9)). Let z be 1/(8/6 - q). What is the closest to -19 in z, 3, 0.2? 0.2 Let p be (10/(-4))/((-5)/(-4)) + 1. What is the closest to 2/9 in -0.3, p, -6, -0.5? -0.3 Suppose 5*s = 3*g - 35 + 12, -g - 5*s - 19 = 0. Which is the nearest to g? (a) 5/8 (b) 9/5 (c) 2 (d) 0.5 a Let l = -4451 + 4451.2. Which is the closest to 8/9? (a) l (b) 0.1 (c) -1/7 a Let p = -3309.4 + 3308. Which is the closest to 0? (a) -2/11 (b) -20 (c) -3 (d) p a Let a = 5.5575 + -0.0575. Let n = -1.5 + a. What is the closest to 1 in -1, -0.03, n, -5? -0.03 Let r be (-30520)/(-3924) + (-2 + 4)/(-4)*16. What is the nearest to 2.1 in 2/29, -4/3, r? 2/29 Let m = -3 - -4. Let o = -52027/3 - -17343. Which is the nearest to m? (a) o (b) 2 (c) 5/2 (d) -3/2 a Let k = -0.04477 + 0.02477. What is the nearest to k in -2, 0.1, -2/7, -0.18? 0.1 Let r be (1 - -1)*1/13. Let a = 4.56287 + 0.43713. What is the nearest to r in -8, a, -2? -2 Let q = 0.6 + -0.1. Let f(z) = -2*z + 39. Let w be f(24). Let s be ((-1)/12)/(w + 150/16). What is the nearest to s in -3, 0, q? 0 Suppose 33 = 10*n - 27. Suppose 2*z + n*z = 160. Suppose 2*h + o + 12 = 2, z = -4*h + o. Which is the closest to 0? (a) 0.3 (b) -4 (c) h a Let y be 16/(-20) - 138/990 - (18 - 19). Which is the nearest to y? (a) -0.5 (b) -4 (c) 1/4 (d) -2 c Let f be (-2)/(7/(21/(-18)) - 16). Let s be ((-2 - 0) + 2)/(-1). Which is the nearest to -1/3? (a) 2 (b) f (c) s c Let j be (-2)/5 - (-22)/5. Let o be j/6 + 6/(-3). Let z = -236001.5 - -236002. What is the closest to -1 in -4, z, o? o Suppose -2*k + 2*j + 2 = 0, 0 = -0*j - 4*j - 16. Let y = 1930.98 - 1931. Which is the closest to y? (a) -5 (b) 0.3 (c) k b Let h = 46541 + -184625/4. Let i = h + -385. Which is the closest to i? (a) -2 (b) -0.01 (c) 5 b Let p = 1044 - 365. Let r be -4 - (p/(-140) - 1/(-4)). What is the closest to 0 in r, -2/5, 4? -2/5 Let r = 49/33 + -20/11. Let p = 548 + 112. Let c = -665 + p. What is the closest to -0.2 in r, -12, c? r Let z = -0.9 - 0.1. Let u = -250090.3 + 250091. Which is the nearest to -1? (a) u (b) 2/11 (c) 0 (d) z d Let n = -0.554 - -66.254. Let k = n + -66. Let p = -3.67 - -1.37. What is the nearest to p in 3/7, k, 3? k Let y = -0.11 - -0.01. Let n be ((-2)/2)/(352/350 - 1). Let v be (-3 - 610/n) + 1/(-5). Which is the nearest to 2/3? (a) v (b) y (c) -2 a Let y(b) = b**3 + 10*b**2 - 4 + 6*b**2 + 3*b - 22*b**2. Let c be y(8). Let m be (-2)/7 + c/28. What is the nearest to -1 in -4, m, -2/9? -2/9 Let q be ((-70)/(-21))/(31/(217/14)). Which is the nearest to 2.1? (a) -0.5 (b) -3 (c) q (d) 1 c Let w = 1216 - 1216. What is the closest to w in 3/7, 0.02, -3/2, 1.8? 0.02 Let d = -0.041 - -0.014. Let i = d + 2.027. Which is the closest to 15? (a) i (b) -4 (c) -0.4 a Let h = -24735 - -24735.13. What is the nearest to 3.5 in 2/5, 4, h, 5? 4 Let v be (-2)/(24/(-4))*(94 + -1). Let g = v + -33. Let a be 6*g/(-16)*20/(-30). What is the closest to -1 in a, -2, -0.1? a Let p be (-3)/(-7)*6/9. Let w(o) = o**3 - 17*o**2 - 269*o - 22. Let u be w(27). Let i be (-1)/1*(-8)/10. What is the nearest to p in u, -8, i? i Let h = 611.7 - 629.7. Which is the closest to 2? (a) -0.1 (b) h (c) -4/5 (d) 2 d Let f = 0.382 + 0.118. Let o = 326.8 + -327. Suppose -q + 3 = 2*q. Which is the closest to 0? (a) q (b) o (c) f b Let m = 12020 - 60099/5. Which is the closest to m? (a) 52 (b) -0.5 (c) -0.3 (d) 4 c Let d = 134 + -138. Let w = -1 - 0. Let n = 339 - 338. What is the nearest to n in d, -3, w? w Let h(u) = -u**3 + 7*u**2 + 46*u + 16. Let t be h(-4). Which is the closest to t? (a) -3/7 (b) -18 (c) 2/13 c Let l = 301/6 + -2101/42. Let f be 8/(-18)*(-3)/2. Let s be (-21)/34 + 1/2. Which is the nearest to f? (a) 1 (b) s (c) l a Let u = -133.49 + 1.49. Let z = -127 - u. What is the closest to 2/9 in -1.3, z, 6? -1.3 Suppose 15*o - 106*o = -364. What is the nearest to 7/6 in 0, -0.6, o, 2/15? 2/15 Let z(j) = -2*j**3 + 19*j**2 + 61*j - 8. Let w be z(12). Suppose -3*n + 2*n + 9 = 5*d, -13 = 5*n - 4*d. Which is the closest to 1/4? (a) n (b) w (c) -2 a Let i = 0.04 - -0.16. Let y = 18 + -20. Let o = -441 + 441.4. What is the closest to -0.1 in y, i, o? i Let k be (-8)/28 + 30/105. What is the closest to 2 in k, 0.5, -5, 8/21? 0.5 Let l = 320 - 4158/13. Let m be 13 - (-7 + 12) - (-1188)/(-154). Which is the nearest to m? (a) l (b) -1/3 (c) 5 a Let f = 0.72 + 0.7. Let x = f - -1.58. Which is the closest to -1? (a) x (b) -3 (c) -0.06 c Let l = -16625.1 - -16625. What is the closest to 0.1 in 2/3, -2/15, l, -1? l Let y = -0.98329 + -0.03251. Let q = y - -0.0158. Which is the nearest to -0.2? (a) -0.4 (b) q (c) 4 a Let t = 5417 + -5438. Which is the closest to 0.1? (a) t (b) 8 (c) 9 b Let h = -3 + 5. Let n be ((-36)/60)/((-432)/(-160)) + (-136)/(-450). Which is the nearest to n? (a) h (b) -5 (c) 1 c Let u(p) = p**3 + 27*p**2 + 157*p + 41. Let i be u(-8). What is the nearest to 1 in i, -0.2, -74, 4? i Let d = -69024 + 69026. Let u = 2.3 - 2. Let h = 0.4 - u. What is the nearest to h in -1, -3/2, d? -1 Let z = 187.57 - 185. Let t = 2.43 + z. Which is the closest to -0.1? (a) t (b) 2/23 (c) -5 b Let u = -4.185 + 0.085. Let h = 1.1 + u. Let f = -0.4027 - -0.0027. Which is the nearest to f? (a) 4 (b) 0 (c) h b Let v = -14896 - -14898.4. Which is the nearest to 3? (a) 4 (b) 0.15 (c) v c Let y = 14.07 - 13.67. What is the closest to -2 in -2/7, 2.4, 2, y? -2/7 Suppose -16 = -137*v + 669. Which is the closest to 2? (a) 4 (b) 0.7 (c) -5 (d) v b Let y be (2494/(-52))/29 + (-3)/(-2). Let s = 7.8 + -1
{ "pile_set_name": "DM Mathematics" }
at is i(n(q))? -3174*q**4 Let n(l) = 7*l. Let z(o) = -5*o**2 - 2*o - 6. Suppose -25*f + 22 + 28 = 0. Let g(b) = 84*b**2 + 35*b + 105. Let w(x) = f*g(x) + 35*z(x). Calculate n(w(h)). -49*h**2 Let y(d) be the first derivative of d**3/3 + d**2/2 + 7. Let n(w) = 12*w**2 + 10*w. Let a(b) = -4*n(b) + 40*y(b). Let l(r) = 3*r. Determine l(a(v)). -24*v**2 Let b(r) = -3*r + 2. Let p(s) = 28*s - 24. Let x(n) = 12*b(n) + p(n). Let l(o) = 11*o. What is l(x(d))? -88*d Let c(a) = -3*a. Let i(p) = 414*p + 9398. Give i(c(j)). -1242*j + 9398 Let u(f) = 181634692*f. Let s(i) = -i. Determine u(s(j)). -181634692*j Let s(n) be the second derivative of 0*n**2 - 47*n + 0*n**3 - 29/3*n**4 + 0. Let a(h) = -2*h**2. Give a(s(r)). -26912*r**4 Let b(i) = -3*i**2 - 8*i - 4. Let t(x) = 45 + 26*x + 4*x - 30 + 14*x**2 - 2*x**2. Let s(n) = -15*b(n) - 4*t(n). Let h(d) = -5*d**2. What is s(h(m))? -75*m**4 Let b(v) = 2*v**2. Let o(l) = -77*l**2 - 6*l - 2. Let y(r) = r + 1. Let j(a) = o(a) + 5*y(a). Calculate j(b(n)). -308*n**4 - 2*n**2 + 3 Let a(t) = -40*t**2. Let i(z) = -15*z - 27*z - 46*z + 82*z - 32*z. Determine a(i(f)). -57760*f**2 Let r(p) = -78*p - 15. Let a(c) be the third derivative of -11*c**4/24 - c**3/3 - 33*c**2. Let h(m) = 15*a(m) - 2*r(m). Let s(i) = -16*i**2. Calculate s(h(q)). -1296*q**2 Let w(g) be the first derivative of -11*g**2/2 + 5*g + 79. Let a(y) = -27*y + 12. Let d(j) = 5*a(j) - 12*w(j). Let k(u) = -2*u. Calculate d(k(n)). 6*n Let x(a) = -7*a - 75. Let q be x(-12). Let i(k) = -q*k - 13*k + 30*k - 10*k. Let z(d) be the first derivative of 2*d**3/3 - 1. Calculate i(z(h)). -4*h**2 Let q(g) be the first derivative of 0*g + 81/2*g**2 - 129. Let n(z) = -2*z. What is q(n(l))? -162*l Suppose 156 = 18*c - 6*c. Let b(o) = -c*o + 55 - 24 - 31. Let y(r) = 6*r**2. Calculate b(y(x)). -78*x**2 Let a(y) = -y**2. Let k(h) = 588*h + 36. Let i(z) = 6*z + 1. Let f(n) = 72*i(n) - 2*k(n). Calculate a(f(b)). -553536*b**2 Let i(q) = -q**2. Let r(k) = 6936195*k**2. Calculate i(r(t)). -48110801078025*t**4 Let f(i) = 40*i**2. Let n(o) = 39767*o - 483. Let s(t) = 412*t - 5. Let w(g) = -5*n(g) + 483*s(g). Determine w(f(j)). 6440*j**2 Let c(w) be the second derivative of w**7/840 + w**4/12 + 92*w**2 - 231*w. Let u(l) be the third derivative of c(l). Let j(m) = -m + 8. Determine u(j(t)). 3*t**2 - 48*t + 192 Let n(g) = -4*g**2 + 22*g - 626. Let y(p) = p**2 - 6*p + 175. Let j(q) = 3*n(q) + 11*y(q). Let l(i) = -16*i. Calculate l(j(d)). 16*d**2 - 752 Let q(r) = 5*r**2 - 4. Let d(k) = 9*k**2 - 7. Let b(s) = 4*d(s) - 7*q(s). Let m(t) = -1863*t. Determine b(m(j)). 3470769*j**2 Let y(o) = 41*o + 1. Let d(u) = 360*u + 11. Give y(d(w)). 14760*w + 452 Suppose -3*v + 65 = 4*h + 2*v, 4*v - 48 = -3*h. Let p(f) = -h*f**2 + 8*f**2 - 14*f**2 - 3*f**2. Let w(t) = 2*t. What is w(p(n))? -58*n**2 Let c(a) = 7*a - 64972. Let u(b) = -31*b. What is c(u(y))? -217*y - 64972 Let z(o) = -2*o**2. Let t(n) = -943*n**2 - 340*n + 14. Let l(b) = -1887*b**2 - 612*b + 26. Let m(x) = -5*l(x) + 9*t(x). Determine m(z(p)). 3792*p**4 - 4 Let f(v) = 168*v - 2. Let h(o) = -140*o + 182*o - 215*o + 176*o. Determine f(h(y)). 504*y - 2 Let p(z) = 108*z - 38899. Let v(g) = 3*g. What is p(v(s))? 324*s - 38899 Let p(n) = -4*n + 4*n + 60*n**2 - 67*n**2. Let c(f) = 3*f + 1. Let a(j) = 7*j + 2. Let w(b) = -a(b) + 2*c(b). Determine p(w(g)). -7*g**2 Let v(z) = z. Let m = -1392/19 - -16951/228. Let o(f) be the second derivative of 0 + m*f**4 + 0*f**3 - 40*f + 0*f**2. What is v(o(p))? 13*p**2 Let q(u) = 4*u**2 + 96*u + 48. Let k(h) = h**2 + 20*h + 10. Let z(a) = -24*k(a) + 5*q(a). Let n(j) = j + 108. Give n(z(r)). -4*r**2 + 108 Let g(d) = -2*d. Let q(l) be the first derivative of 106*l + 115*l + 5*l**2 + 164 - 215*l. What is q(g(k))? -20*k + 6 Let t(m) = 7435*m**2 + 7 - 7 - 429*m**2 + 1827*m**2. Let r(o) = 3*o**2. What is r(t(l))? 234065667*l**4 Let h(a) = -6*a. Suppose 0 = b + 3*b. Suppose b = 3*c - u, -2*c - 5 = -c - 2*u. Let p(w) = -w. Let j(n) = -4*n. Let m(q) = c*j(q) - 3*p(q). What is h(m(v))? 6*v Let w(k) = 2*k**2 - 5*k**2 - 5*k**2 - 4*k**2 + 7*k**2. Let s(n) = -598*n. Calculate s(w(o)). 2990*o**2 Let f(p) = -85*p. Let n(c) be the third derivative of -c**4/3 - 5*c**2 + 11. Give f(n(b)). 680*b Let b(u) be the first derivative of u**3 + 2. Let c(l) = -515*l**2 + 522*l**2 - 3*l + 3*l. Determine b(c(i)). 147*i**4 Suppose -j = -2*h - 2*h - 40, 3*h = 3*j - 93. Let t be 2/(-8) + 63/j. Let y(b) = 2*b**t + b**2 - 2*b**2. Let c(w) = -3*w. Give y(c(n)). 9*n**2 Let d(h) = 4*h. Let y(m) = 19*m**2 + 8. Let t(w) = w**2 - 2. Let r = -211 - -212. Let l(v) = r*y(v) + 4*t(v). Give l(d(k)). 368*k**2 Let f(y) = -2*y. Let g(d) = 8*d - 32. Let c(v) = 1. Let u be (2 - 48/8)*16/2. Let s = 8 + -9. Let r(l) = s*g(l) + u*c(l). Give f(r(x)). 16*x Let v(g) be the second derivative of -g**3/6 + 112*g. Suppose 5*i = 3*r + r + 5, -r - 15 = -4*i. Let u(y) = -2*y - 3 + 3 - 2 - r*y. Determine v(u(l)). 7*l + 2 Let y(f) = 618*f**2 + 113927*f. Let q(r) = r**2. What is y(q(z))? 618*z**4 + 113927*z**2 Let b(w) = 20430647*w**2 + w. Let x(r) = -3*r**2. Give b(x(s)). 183875823*s**4 - 3*s**2 Let o(j) = -15*j**2. Let v(s) be the third derivative of -s**4/12 - 43*s**3/6 + 824*s**2 + 3. Calculate o(v(x)). -60*x**2 - 2580*x - 27735 Let r(d) = -8*d. Let a(g) = -5*g**2 - 7*g - 95. What is a(r(b))? -320*b**2 + 56*b - 95 Let z(i) be the third derivative of -i**5/20 + 5801*i**2. Let y(l) = 5*l**2 + 3. Let k(n) = -10*n**2 - 6. Let g(j) = -2*k(j) - 5*y(j). Calculate z(g(o)). -75*o**4 - 90*o**2 - 27 Let l(y) = -2*y. Let u(r) = -38 + 179 - 104 - 37 - 127*r**2. Give l(u(g)). 254*g**2 Let x(q) be the third derivative of 3*q**4/4 - q**3/6 - 4*q**2 + 452*q. Let j(y) = 45*y. Determine x(j(n)). 810*n - 1 Let f(c) = -4*c**2. Let j(n) = 7102389*n. Determine j(f(m)). -28409556*m**2 Let n(y) = -317 - 42*y + 317 - 29*y. Let x(a) = 5*a**2 + 4*a. Let m(s) = -6*s**2 - 5*s. Let j(k) = 4*m(k) + 5*x(k). What is j(n(l))? 5041*l**2 Let a(d) = -d**2 + 6. Let x(z) = -2. Let c(w) = a(w) + 3*x(w). Let b(k) be the first derivative of -3*k**2/2 + 19*k + 55. Determine b(c(y)). 3*y**2 + 19 Let r(w) = -120*w. Let c(y) = -82865*y**2 + 41466*y**2 + 41431*y**2. Determine c(r(p)). 460800*p**2 Let n(x) = 2515*x. Let m(j) = 26900*j**2. Give n(m(q)). 67653500*q**2 Let d(c) = -8*c. Let o(n) = 23*n. Let y = -49 + 32. Let i(k) = y*d(k) - 6*o(k). Let j(l) be the first derivative of -13*l**3/3 + 16. Determine i(j(u)). 26*u**2 Let x(u) = u. Let d(b) = -b**2 + 5*b + 18. Let r be d(6). Let f be r/54 + (-48)/(-27). Let w(a) = -24*a - 1 - 1 + f. Give x(w(g)). -24*g Let o(n) = -17*n. Let l(j) be the second derivative of 751*j**3/6 - j**2 - 3*j + 2532. What is o(l(c))? -12767*c + 34 Let a(k) = -261*k - 2. Let j(y) = -140*y + 60. Let z(u) = 10*u - 4. Let c(w) = -j(w) - 15*z(w). What is c(a(v))? 2610*v + 20 Let p(t) = -t**2. Let k(z) be the first derivative of -z**4/6 - 9*z**2/2 + 84*z - 65. Let l(x) be the first derivative of k(x). Determine l(p(s)). -2*s**4 - 9 Let p(y) = 4*y + 6. Let n(a) = 26*a + 42. Let v(w) = 5*n(w) - 35*p(w). Let z(b) = 445*b**2. What is v(z(g))? -4450*g**2 Let f be 2*(-3802)/8*(2 + -8). Let n(a) = f - 5703 - 3*a. Let w(m) = -5*m - 2*m**2 + 5*m. What is w(n(c))? -18*c**2 Let j(f) = f - 45. Let l(u) = 4*u - 165. Let c(n) = 22*j(n) - 6*l(n). Let v(t) = -1998*t**2 + t. Determine v(c(g)). -7992*g**2 - 2*g Let y(g) = 2*g**2 + 5*g - 45160. Let h(b) = 2*b**2. Calculate y(h(t)). 8*t**4 + 10*t**2 - 45160 Let s(x) = 24*x**2. Let g(q) be the second derivative of q**4/12 - q**3/2 - 2*q**2 + q. Let n be g(-2). Let u(a) = -n*a + 5*a + 5*a - 5*a. Give u(s(j)). -24*j**2 Suppose -35*l + 27*l = -504. Suppose 12*h - 15*h + l = 0. Let r(q) = -16*q - h*q + 11*q**2 + 37*q. Let p(i) = 2*i. Determine r(p(c)). 44*c**2 Let i(q) = q**2. Let s(r) = 92260072*r**2. Give s(i(o)). 92260072*o**4 Suppose -18 = -5*b - 23. Let m(x) = -28*x**2 + 42*x - 21. Let w(k) = k**2 - 2*k + 1. Let u(f) = b*m(f) - 21*w(f). Let a(l) = -8*l + 10 - 10. Determine a(u(v)). -56*v**2 Let t(k) = 186555*k. Let v(d) = 66*d. Give v(t(a)). 12312630*a Let w(o) be the second derivative of -o**3/3 + 127*o**2/2 - 1255*o. Let h(t) = 10*t. What is h(w(c))? -20*c + 1270 Let d(i) = -66072791*i. Let s(b) = 2*b. What is d(s(m))? -132145582*m Let o(u) be the first derivative of u**
{ "pile_set_name": "DM Mathematics" }
j and 1 c when four letters picked without replacement from jcjccjcjcjcj. 8/33 Three letters picked without replacement from brpppporgprtrggtpro. What is prob of picking 1 b, 1 p, and 1 o? 4/323 What is prob of picking 2 u when two letters picked without replacement from {u: 2, m: 2, d: 1}? 1/10 What is prob of picking 1 s, 1 b, and 2 w when four letters picked without replacement from wbbwwsbwwswwwb? 32/143 Four letters picked without replacement from {c: 2, q: 1, s: 3, j: 6}. Give prob of picking 1 j, 2 s, and 1 c. 4/55 Two letters picked without replacement from {p: 1, s: 2, h: 4, q: 4, j: 3}. Give prob of picking 1 s and 1 q. 8/91 Calculate prob of picking 1 u and 3 j when four letters picked without replacement from {j: 5, u: 3}. 3/7 Three letters picked without replacement from kssspypsyssksssvlplk. What is prob of picking 1 s, 1 v, and 1 k? 9/380 Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {j: 1, p: 2, q: 1, n: 1, l: 1, z: 1}. 2/21 Three letters picked without replacement from lllllrrrlrlllrlrll. What is prob of picking 1 l and 2 r? 15/68 What is prob of picking 3 b when three letters picked without replacement from {b: 6}? 1 Calculate prob of picking 4 v when four letters picked without replacement from {v: 10}. 1 What is prob of picking 3 k when three letters picked without replacement from {k: 3, d: 3, j: 5}? 1/165 What is prob of picking 1 j, 1 a, 1 z, and 1 p when four letters picked without replacement from {a: 3, j: 1, q: 2, p: 3, z: 9}? 9/340 Four letters picked without replacement from {y: 6, z: 4, t: 4}. Give prob of picking 1 z, 1 y, and 2 t. 144/1001 Two letters picked without replacement from {t: 3, i: 8}. What is prob of picking 2 t? 3/55 Calculate prob of picking 1 f and 2 u when three letters picked without replacement from {u: 5, c: 3, k: 1, f: 11}. 11/114 What is prob of picking 3 j when three letters picked without replacement from hxjjxjhhhtxhhhhhjjhh? 1/114 Calculate prob of picking 1 t and 2 i when three letters picked without replacement from {g: 2, q: 2, p: 2, t: 3, i: 6}. 9/91 Two letters picked without replacement from ouuueyeuo. What is prob of picking 2 u? 1/6 Two letters picked without replacement from {p: 2, v: 1, l: 1}. Give prob of picking 1 p and 1 l. 1/3 What is prob of picking 1 z and 1 o when two letters picked without replacement from {y: 1, x: 1, z: 1, u: 1, r: 1, o: 6}? 6/55 Four letters picked without replacement from {j: 4, f: 7, c: 4}. Give prob of picking 2 f and 2 j. 6/65 Three letters picked without replacement from {u: 7, f: 4, w: 2, y: 1, h: 1}. What is prob of picking 1 w and 2 f? 12/455 Calculate prob of picking 1 a and 2 q when three letters picked without replacement from ajjaqajaaazjqaaaa. 1/68 Calculate prob of picking 2 a and 1 o when three letters picked without replacement from {a: 7, l: 3, o: 3}. 63/286 Two letters picked without replacement from ltlltttttt. Give prob of picking 2 t. 7/15 Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {j: 1, n: 1, c: 1, d: 2, m: 1, s: 1}. 2/21 What is prob of picking 2 r and 1 d when three letters picked without replacement from zhozossozrorzd? 1/364 Calculate prob of picking 3 s and 1 q when four letters picked without replacement from sqsqqqqsssqsssssssq. 385/969 Calculate prob of picking 1 q and 1 b when two letters picked without replacement from {b: 2, q: 8, j: 4}. 16/91 Three letters picked without replacement from dwjdjdwwdwdddd. Give prob of picking 1 w and 2 d. 4/13 Two letters picked without replacement from {i: 1, k: 2, f: 1, n: 1, m: 1, q: 1}. What is prob of picking 1 n and 1 q? 1/21 Two letters picked without replacement from jjjcmccmuccc. What is prob of picking 2 m? 1/66 What is prob of picking 1 e and 3 z when four letters picked without replacement from eenenznnneezneznnb? 1/510 Two letters picked without replacement from {j: 3, e: 2, i: 4}. What is prob of picking 2 i? 1/6 What is prob of picking 1 i and 1 s when two letters picked without replacement from yoijosl? 1/21 Two letters picked without replacement from {a: 3, u: 2}. Give prob of picking 2 u. 1/10 Four letters picked without replacement from {w: 1, g: 11, e: 2}. Give prob of picking 1 w, 2 e, and 1 g. 1/91 Three letters picked without replacement from rrerrree. Give prob of picking 2 e and 1 r. 15/56 Four letters picked without replacement from eeeeee. What is prob of picking 4 e? 1 Three letters picked without replacement from ckfccinmncif. What is prob of picking 2 f and 1 k? 1/220 Four letters picked without replacement from crtrttcgtgtgtrg. What is prob of picking 2 t, 1 g, and 1 c? 8/91 What is prob of picking 3 c when three letters picked without replacement from ccccccccppccccccccc? 40/57 Calculate prob of picking 1 q and 1 n when two letters picked without replacement from qeliqqnijeiq. 2/33 Calculate prob of picking 3 n when three letters picked without replacement from jjnpjnnnjnn. 4/33 Three letters picked without replacement from gugvgkgvfukvgkvg. Give prob of picking 3 g. 1/28 Two letters picked without replacement from eoenzz. What is prob of picking 1 o and 1 n? 1/15 Four letters picked without replacement from {r: 4, p: 1, e: 3, t: 2}. What is prob of picking 1 t, 2 r, and 1 p? 2/35 Calculate prob of picking 1 k and 3 w when four letters picked without replacement from kkwwwkwgkwk. 5/33 Four letters picked without replacement from {h: 14, y: 5}. Give prob of picking 4 y. 5/3876 What is prob of picking 1 h, 1 i, and 1 z when three letters picked without replacement from {i: 1, m: 3, h: 4, z: 2, x: 4}? 2/91 Three letters picked without replacement from eeeseeeeeesesess. What is prob of picking 1 e and 2 s? 11/56 Three letters picked without replacement from {o: 3, e: 5}. What is prob of picking 1 o and 2 e? 15/28 Three letters picked without replacement from {l: 4, f: 6}. Give prob of picking 2 l and 1 f. 3/10 Two letters picked without replacement from snnsssss. Give prob of picking 2 n. 1/28 Calculate prob of picking 1 l and 3 a when four letters picked without replacement from {u: 1, o: 2, l: 1, r: 7, a: 5}. 1/182 What is prob of picking 1 l and 1 d when two letters picked without replacement from {d: 1, r: 1, c: 2, l: 1, j: 5, m: 3}? 1/78 Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 3, z: 2, k: 1, x: 1}. 1/7 Three letters picked without replacement from ffffffddfff. Give prob of picking 3 f. 28/55 Two letters picked without replacement from {t: 4, u: 6, k: 1}. Give prob of picking 1 u and 1 t. 24/55 Four letters picked without replacement from {i: 3, r: 12}. Give prob of picking 1 r and 3 i. 4/455 Calculate prob of picking 1 j and 2 w when three letters picked without replacement from jwjwwwwwwwww. 9/22 Two letters picked without replacement from appuo. What is prob of picking 1 p and 1 u? 1/5 Three letters picked without replacement from {c: 2, m: 5, g: 4}. What is prob of picking 3 m? 2/33 Two letters picked without replacement from {i: 1, n: 5, g: 3, o: 2, x: 1}. Give prob of picking 1 x and 1 i. 1/66 What is prob of picking 2 n when two letters picked without replacement from {n: 3, m: 3, q: 2, v: 11}? 1/57 Four letters picked without replacement from ffpfapffa. What is prob of picking 3 f and 1 p? 10/63 What is prob of picking 2 b when two letters picked without replacement from {g: 3, b: 3, n: 1}? 1/7 Calculate prob of picking 1 p, 1 y, and 1 l when three letters picked without replacement from ckycypyryprcyclc. 1/56 Two letters picked without replacement from {g: 7, y: 6}. Give prob of picking 2 y. 5/26 Calculate prob of picking 3 g when three letters picked without replacement from kgkkkxmxxkgkgkxx. 1/560 Three letters picked without replacement from {t: 1, f: 1, z: 3, l: 1, d: 2, h: 3}. Give prob of picking 1 f and 2 d. 1/165 Calculate prob of picking 1 m, 1 j, 1 e, and 1 v when four letters picked without replacement from mvvegvvj. 2/35 Two letters picked without replacement from xxxxxxxo. Give prob of picking 2 x. 3/4 Two letters picked without replacement from lhhthlasla. Give prob of picking 2 h. 1/15 Three letters picked without replacement from {o: 2, x: 6, u: 3, e: 1, a: 6, q: 2}. Give prob of picking 1
{ "pile_set_name": "DM Mathematics" }
58.5334176 Add 2555.656 and 526537. 529092.656 Calculate -2117 + -9279294953. -9279297070 Work out -107860526365 - -2. -107860526363 -1 - -18.557752781 17.557752781 What is the distance between 8.2286790409096 and 4? 4.2286790409096 Calculate -180.67704 - 7957550. -7957730.67704 Calculate 437 - 3510105.39. -3509668.39 Work out -691261 - 6531259. -7222520 Calculate 5934381.8 - 23.1. 5934358.7 What is -23008395330 + -130? -23008395460 What is 415426979 take away -113.2? 415427092.2 What is 13184066164.6 less than 0? -13184066164.6 What is -1320707 - 6539151? -7859858 Put together 0.5 and -110878169365. -110878169364.5 What is 0.364382283408 - 13? -12.635617716592 What is 0.091 less than -736622744.769? -736622744.86 Put together -31 and 233199012991. 233199012960 What is the distance between -41.1673603043 and 0.086? 41.2533603043 What is 50850504059 + 0.1? 50850504059.1 What is -976583707 minus -0.3421? -976583706.6579 Subtract 8.5785 from -272332.3. -272340.8785 Work out -129162446883 + 23. -129162446860 -1841807 + 0.119454 -1841806.880546 5630401.475+7 5630408.475 What is -323779.10588 minus 0.3? -323779.40588 Add -2190933432460.11 and 3. -2190933432457.11 Work out 1.359 - -3174080733. 3174080734.359 What is -23407884486200.8 take away 5? -23407884486205.8 Sum -0.53 and 307.405892203. 306.875892203 -6073905.49+3.35 -6073902.14 -872+209407460637 209407459765 75085371217 + 141 75085371358 Calculate 0 + -2751368495088. -2751368495088 What is the difference between -48572440823 and 0.4? 48572440823.4 What is -1159100798 less than -5522? 1159095276 What is -79246.07806 - -60.84? -79185.23806 Sum -105 and -2338270140. -2338270245 What is -0.35 - -146760008965? 146760008964.65 Work out -3750411.191 + -190. -3750601.191 What is the difference between -2 and -375672093871? 375672093869 What is -0.4 take away 82976264842.741? -82976264843.141 Work out 21069 + -0.01630527. 21068.98369473 What is 7070863.2 less than 24.47? -7070838.73 Subtract 154773 from -814874872. -815029645 Work out 111580.749604 + -14.6. 111566.149604 Add together -2615486258303 and 440. -2615486257863 Subtract -0.01 from -7571830410. -7571830409.99 Calculate -7 - -332403355579. 332403355572 Calculate 54.9 + -0.00392988774. 54.89607011226 Total of 92 and 16837989626.1. 16837989718.1 Sum 0.1196 and -2.16910527. -2.04950527 What is -0.0906 take away 29.87647281? -29.96707281 What is -17436.3969276 + 66? -17370.3969276 Add -1918.46 and -591584023. -591585941.46 What is 27247 take away -27.57191793? 27274.57191793 What is 0.4 less than -4500526.7211402? -4500527.1211402 What is 30.5 plus 3233436368? 3233436398.5 What is 3112 plus -1.28288418? 3110.71711582 What is the difference between 726319.069 and -11278? 737597.069 What is -6.162623 take away 0.083604? -6.246227 What is 7117254 plus -62279? 7054975 Work out -5 - -1605895399017. 1605895399012 269.32 + -4.22675068 265.09324932 -1855218411 + 1498 -1855216913 What is 75760 minus 412606? -336846 What is -4961624 - 9078218? -14039842 0.8409826 - 3970 -3969.1590174 What is the distance between -10.7 and -146.440064? 135.740064 -92297360059668+3 -92297360059665 Calculate -141566310 - 30.563. -141566340.563 What is 681.67 + 39312.927? 39994.597 What is 10573528406 plus 19.7? 10573528425.7 What is the difference between -1906 and -10896721422? 10896719516 0.20493 - 52925487 -52925486.79507 What is -2.14557 minus -0.4467342161? -1.6988357839 -374687.83943 + -5 -374692.83943 1.68416+-2.879806 -1.195646 What is -464 plus 38065048027? 38065047563 -1.723 - -229591227153 229591227151.277 Subtract -3964584659 from 5.616. 3964584664.616 What is -4 - 94550313985? -94550313989 Add -29.2993839 and -4.8483. -34.1476839 -0.01912643149+-0.275497 -0.29462343149 What is -0.1 take away -4557959693132? 4557959693131.9 What is -2 less than -7.535624087? -5.535624087 What is -11030314018 plus 16.803? -11030314001.197 Sum -116419 and 163486557. 163370138 Work out -131.135 - 2085528. -2085659.135 -68720186 - -23.6902 -68720162.3098 -0.101737+-17701555 -17701555.101737 Work out -904835124.3 - -0.02338. -904835124.27662 -39.8253 - -4898569 4898529.1747 What is the difference between -505865519593 and 151? 505865519744 5574525451 - -14.2 5574525465.2 1.8 - 1784068545 -1784068543.2 What is 0.011 minus 367026844.2? -367026844.189 What is -3.15002 minus -33811.58? 33808.42998 Subtract -15175527 from -1.666. 15175525.334 -25242433320 + -24.648 -25242433344.648 Put together 26700 and 2484487. 2511187 What is -0.02 minus 228864946823? -228864946823.02 Total of -254914.5 and -19898.6972. -274813.1972 Work out 438321 + -2.669161. 438318.330839 Sum -1340669231455.9 and 2. -1340669231453.9 Subtract 0.4 from 328067084044. 328067084043.6 What is 13.5 minus 450.0042468918? -436.5042468918 What is -31367287201135 plus -0.1? -31367287201135.1 Total of 402 and 6.131225137. 408.131225137 Calculate 10671906 - 1139.1847. 10670766.8153 What is -57596190793 - 10? -57596190803 Work out -4416262163698 + -0.034. -4416262163698.034 Subtract -3899495 from 1951493. 5850988 Subtract 0.638356 from -0.33284. -0.971196 What is 4.2 take away 177132843.22312? -177132839.02312 What is the distance between -26363.143286 and -17947? 8416.143286 What is -0.2 plus 126000424552369? 126000424552368.8 What is 5 minus 661.931311? -656.931311 Put together -47459 and 20632646. 20585187 Work out 103624472 - -3494.4. 103627966.4 What is -99196905.1 - 179630? -99376535.1 Calculate 121438468 - -0.463891. 121438468.463891 Work out 0.4 - -323318592706. 323318592706.4 What is -6626617489 take away 527? -6626618016 Total of -2575861477782 and -7.2. -2575861477789.2 What is -180.025 - -338081? 337900.975 Calculate -0.88 - 158174246162. -158174246162.88 Sum -933768 and -218250.9. -1152018.9 What is -431.19784 plus 640.229? 209.03116 Put together -1.337442 and 152.484. 151.146558 -289652.876 + 0.07284 -289652.80316 Calculate 17.94805969 - -600. 617.94805969 What is the distance between -3594737610453 and -106? 3594737610347 What is -4597.413032 - -0.087? -4597.326032 What is the distance between -8905349 and 1329874? 10235223 What is -0.209 minus 6099094923? -6099094923.209 Sum 5 and -51901561634. -51901561629 Add together -26.85 and 167542343.19. 167542316.34 5 - -53757376498.9 53757376503.9 What is 10 less than -1156837.354? -1156847.354 Calculate 226874519877 + 745. 226874520622 What is -100749545.889 minus -0.5? -100749545.389 -2561665613472 - 0.07 -2561665613472.07 Work out 363343.43 - -7.87086. 363351.30086 What is 0.07 take away 76.87389160902? -76.80389160902 Calculate -12421694869 - 2066. -12421696935 Sum 3433833903.1 and -15. 3433833888.1 What is 41833014152285 plus -0.4? 41833014152284.6 What is the distance between -3422 and 592095793? 592099215 Work out 5.287203 - -3783612. 3783617.287203 Sum -301.2603145 and 25053. 24751.7396855 What is 6.5166 + -171301374? -171301367.4834 Subtract 0.029 from -17820632293. -17820632293.029 What is the difference between 618098395129 and -2.7? 618098395131.7 What is -5 plus -20047281536? -20047281541 Subtract 567665138 from 0.3627. -567665137.6373 What is the distance between -45.27 and -12522808? 12522762.73 What is 846581 plus -2.54657? 846578.45343 What is the difference between 4361021.1046 and 0.2? 4361020.9046 What is -10 - -3657567938866? 3657567938856 What is -3.4106428 less than -15.14461? -11.7339672 Subtract 2 from -94795864429.03. -94795864431.03 Work out -224.5951 + 173.56079. -51.03431 Total of 0.50403856759 and 236.69. 237.19403856759 What is 14053730 plus 5993.9? 14059723.9 -0.03737 - 31693.966 -31694.00337 What is -5 plus -3181832434.1? -3181832439.1 Add together -26 and 524480.5531. 524454.5531 Work out 48636257015 - 14. 48636257001 Work out -19547916 + 2445584. -17102332 What is 68 minus 90132169514? -90132169446 Total of 2.42 and 48307.7863405. 48310.2063405 Subtract -366619.71 from 865325.5. 1231945.21 What is -9958456124040 + 0.5? -9958456124039.5 -344962138 + -225946 -345188084 Total of 265113407919 and 1428. 265113409347 Sum 0.3 and 10880768813241. 10880768813241.3 What is -0.4 + 66382742770.5? 66382742770.1 Calculate 0.278114 + 107160. 107160.278114 What is -4145575 take away 2896.5? -4148471.5 Calculate -106736 - 0.39055363. -106736.39055363
{ "pile_set_name": "DM Mathematics" }
3/7? -3/7 Let v be 3 + -1 + -6 + 5. What is the nearest to -0.1 in -7, v, -5? v Suppose 5*o + 206 = 246. Let u be o/(192/(-116)) - -6. What is the closest to -1 in u, 0.5, -1? -1 Let l = 12487.3 - 12515. Which is the closest to l? (a) -2 (b) -5 (c) 0.1 b Let w = -0.942 - -1.942. Let x = 7 + -7.2. Which is the closest to w? (a) 6/7 (b) -6/5 (c) x a Let x = -4.016 - -0.016. Let p = 0.12 - -0.98. Let i = -1.1 + p. Which is the nearest to x? (a) i (b) -0.4 (c) -0.5 c Let w = 2 + -1. Let z be 98/170 - 123/697. Which is the nearest to w? (a) -3/2 (b) z (c) 0.5 c Let g = -311.2 + 311. Let y be 0 + (-4 - (1 - (-34)/(-6))). Which is the closest to 3? (a) g (b) 2 (c) y b Let g be 4/14 + 8/(-14) + (-1632)/(-45696). Which is the closest to g? (a) -2/3 (b) 0.1 (c) 2/3 (d) 0.11 b Let i be 4692/4301 - (-2)/(-22). What is the nearest to i in -5/2, -35, 9? -5/2 Let v = -0.893 + 0.393. Let n = -47/189 + -1/27. Which is the closest to v? (a) -2/3 (b) 2 (c) n a Let r = 148 - 208. Let b be ((-3)/(r/8))/(-3). Let z = 100 + -99.9. What is the nearest to 0 in b, z, 0.4? z Suppose 5*m + x = -3, 15*m - 16*m + 5*x + 15 = 0. Let q = 0.4 + -0.7. What is the nearest to m in q, -2/3, 2? q Let n = -0.1 - 0. Let m = -46540 - -139618/3. What is the nearest to n in -0.4, 11/3, m? -0.4 Let h = -26344 - -26343.5. What is the closest to 0.2 in 4, -32, 1/4, h? 1/4 Let u = 0.1761 + 3.8239. Let q = 16.6 - 18. Let k = q - -1.1. What is the nearest to 0 in u, k, 0.5? k Let u = -364 - -364. Let z = 386 - 8876/23. Which is the nearest to -5? (a) u (b) 0.4 (c) z a Let b = -5.827 + 10.827. What is the nearest to 0 in b, -2/7, 0.2, 8? 0.2 Let b be 448/(-42) + 3 + 9. Let h be 4/(-10)*5/3. What is the nearest to -2 in h, b, -0.5? h Suppose 2 = -2*v + 4. Let h(x) = x**2 + 74*x + 1144. Let l be h(-22). Which is the closest to v? (a) 4 (b) 97 (c) l c Let z = -27 + 23. Let g = 227 + -228. Which is the nearest to g? (a) -3 (b) 24 (c) z a Let g = -202.8 - -203. Let d = 530 - 528. Let u = 0.1 - 0.5. Which is the closest to u? (a) g (b) -0.2 (c) d b Let l = 2707 + -2707. Let p be 30/(-135) - (-32)/63. Let s = -0.02 - -0.01. What is the nearest to l in p, -4, s? s Let d = 33762 + -33758. Suppose 2*m - 1 = -3. Which is the closest to m? (a) d (b) 3 (c) -11/3 c Let z = -4826 - -4820. Which is the nearest to -37? (a) -1/4 (b) z (c) -5 b Let s be -4 + (1*-5)/(16 + (-1717)/102). What is the nearest to s in 5, 2/3, 0? 2/3 Let r(n) = -n**3 - 62*n**2 - 281*n + 229. Let s be r(-57). Let l be ((-3)/4)/((-6)/(-4)). Which is the nearest to s? (a) 5 (b) -3/94 (c) l b Let q = 0.46 + -2.46. What is the nearest to -4.7 in 2/5, q, 2? q Suppose -2*i = 2*x - 6, -7*i = -5*i + 5*x - 9. Which is the closest to -0.1? (a) 14/17 (b) -0.4 (c) i (d) -0.5 b Let n = -478 - -413.2. Let i = n + 65. Which is the nearest to -3/13? (a) -2/13 (b) i (c) -3/5 a Let l = 351563 - 3171256/9. Let t = 799 + l. Let u = 0.1 - 0. Which is the nearest to t? (a) u (b) 2 (c) 3 a Let n = 3.1 + -0.1. Let a = -0.22 - -1.22. Let k = -1 + a. What is the closest to k in n, 0.7, -1? 0.7 Let p = -1.95 + -0.05. Let x = 115921 - 115941. Which is the nearest to x? (a) 2/9 (b) 0.3 (c) p (d) -4 d Let o = -50.07 + 51. Let x = 1.07 + o. What is the nearest to -3 in -5, x, -3/2? -3/2 Let m = 11999.94 + -12000. Which is the closest to -3/80? (a) -0.1 (b) m (c) -0.3 (d) -2/7 b Let g = 40.81 - 42.81. Which is the nearest to 40? (a) g (b) 0.1 (c) 0.4 c Suppose 4 = -3*x + 13. Let q = 1.4 + -1.9. Suppose 0 = -39*d + 112*d. Which is the nearest to -0.1? (a) d (b) x (c) q a Let h = -39.247 - -39.747. What is the nearest to -1 in 2/19, h, -3? 2/19 Let g = -7604 - -7606. Which is the nearest to -7/3? (a) g (b) 0.3 (c) 3/5 b Let u = -56 - -34. Let w = 384 - 379. Let o be (w/25)/((-1)/(-2)). What is the nearest to o in -0.2, u, -4? -0.2 Let s = -1078 - -2321/2. Let n = -83 + s. Which is the closest to n? (a) 5 (b) -1.1 (c) 0.5 b Let o = 5/6757 - -6732/33785. What is the nearest to o in 66, -0.1, 2/9, -0.5? 2/9 Let v be (-2)/3 + (-3)/18. Let z be (-99)/(-84) + -1 - (-131)/524. What is the closest to v in 0.5, -1, z? -1 Let g = 263 - 1319/5. Let o = -131.59 + 127.59. Let s = 2 - 2. Which is the closest to s? (a) g (b) o (c) -3/8 c Suppose 0 = 4*o - 2*r + 116, 3*r - 300 + 39 = 9*o. What is the closest to 1 in o, 0.1, -22? 0.1 Let i = -0.49 - -8.85. Let o = 1.46 - i. Let f = 3.9 + o. What is the nearest to 2 in f, -0.4, 5? -0.4 Let t = -6015/4828 + -5/1207. What is the closest to 0.1 in t, -0.05, -1/2? -0.05 Let i = 19.489 + -19.589. Which is the nearest to i? (a) -5/2 (b) -76/5 (c) 2/19 c Let v = 22 - -7. Let n = -30 + v. Let d be 2 + 0 + 28/(-15). Which is the nearest to n? (a) d (b) 1 (c) -1/6 c Let k = 4816 + -4818. What is the nearest to -1 in -2/11, 3/2, k, -1/5? -1/5 Let k be (-10 - (-1739)/188)/(69/8). Let t be 3/(-2)*2/6. What is the nearest to t in -4, -0.5, k? -0.5 Let y = -18271 + 18272. Which is the nearest to -0.1? (a) 0.1 (b) -8 (c) -2/15 (d) y c Suppose 0 = -2*q - 4*l + 16, 0*q + 2*q - 2*l = 22. Let g be q/(-12)*16/(-60)*-3. What is the nearest to 1/4 in -5, -3, g? g Let r = -32011/9 - -3557. What is the nearest to 2 in 237, 0.1, r? r Let o = -2031 + 2035. Let f = -0.1 + 0. Which is the nearest to f? (a) 1/4 (b) o (c) 27 a Let r be 526 + 15/5 + -5. Let t = r - 1570/3. What is the nearest to -11 in -1, -2, t? -2 Let n = -2.77 + -1.23. Let i = 103/295 + 3/59. Let m be (8/(-32))/((-10)/4). Which is the nearest to n? (a) 1/5 (b) m (c) i b Let f = -1646 + 1679. Which is the nearest to -1? (a) -7 (b) f (c) -5 c Let s = 1053.473 - 1053. Let n = s - -0.027. Let h = 22 + -21. Which is the nearest to h? (a) 3 (b) n (c) 4 b Let g = -15 + 10. Let z = -121.2 - -121.6. Which is the closest to g? (a) z (b) 2/11 (c) 1/6 c Suppose 0 = 14*n - 0. Let r = -48 + 49.95. Let o = r + 0.05. Which is the closest to n? (a) -3/4 (b) o (c) -4 a Let l be -3 + 6/((-570)/(-361)). What is the closest to -1 in -3, l, 0, 4? 0 Let y = -0.1 + 1.1. Let m = 1287.9 + -1225. Let v = 64 - m. Which is the closest to -0.1? (a) y (b) v (c) 1/6 c Let o = -64.68 - -56.68. Which is the nearest to -1? (a) o (b) -1.6 (c) 2 b Let b = -63 + 569/9. Let v be 1*(-44)/(-40) - 3/2. What is the nearest to 1 in v, 5, -0.5, b? b Let h = -2.5 + 2. Let w = 302220 - 302228. Which is the closest to 1/2? (a) -5 (b) w (c) 0 (d) h c Let s = 9.665 + -9.765. Which is the closest to -2/5? (a) s (b) 1/7 (c) 0.5 (d) 34 a Let j(v) = 2*v**3 + 6*v**2 - 17*v + 22. Let z be j(-5). What is the nearest to 1 in z, 0, 12, 1/2? 1/2 Let k = -17631 + 88143/5. What is the nearest to 3 in -4/3, k, 2/9, 3/5? 3/5 Let r = -1 - -0.7. Let z = 33.9 - 34. Let s = r + z. Which is the closest to -1? (a) 0.3 (b) -1/7 (c) s c Let s = -24.45 + 22.45. What is the nearest to -0.8 in -0.3, s, 4? -0.3 Let p = 0.054 + 0.946. Let n = -1126 + 1124. Which is the closest to 0.8? (a) -3/4 (b) p (c) n b Suppose -907 = -132*o - 1171. What is the nearest to o in -6/11, -1/12, -0.4, 0? -6/11 Let d be (3*28/(-294))/2. Let u = 0.2 - -1.8. Let l = u + -3. Which is the nearest to 2/3? (a) l (b) -3/4 (c) d c Let g be (-7)/((-427)/120)*65/(-52). Which is the nearest to 1? (a) g (b) -2 (c) 0.5 c Let n = 4153 + -4148. Let o = 2.6 - 2. What is the closest to -2/5 in -1/4, n, o? -1/4 Let x = 24534 + -24538. Which is the nearest to 0.36? (a) x (b) -8 (c) 3 c Let p = -3388 - -3389. Which is the closest to -0.1? (a) 0.11 (b) 4 (c) 0.05 (d) p c Let z = 700 - 701. What is the closest to z in 1, 2, -0.108? -0.108 Let w be 3206/28 - 2/4. Suppose -w = 15*k - 24. Let a be (-8)/(-30) - 6/9. What is the closest to 0 in a, -2, k? a Let n = -1 - -1. Let r = -161.4 - -188. Let h = 26.1 - r. What is the nearest to n in -0.3, h, 1? -0.3 Let t = 575 - 513. Let p = 0.2 + -65.2. Let x = t + p. What is the closest to -1 in 0.4, x, -2/5? -2/5 Let p = 6/10823 + 64140/1439459. What is the closest to 0 in -2/11, 5, p? p Suppose 5*s - 5*j - 35 = 0, 31 - 16 = 5*s - j. What is the nearest to -1 in -0.4, -35, s? -0.4 Let a = 4 + -3. Let x = 67219 - 67277. What is the nearest to a in -4, x, -1/4, 2/5? 2/5 Let l = -1 - -2. Let q(k) = -4*k + 96 - 10*k + 4*k + 24. Let o be q(
{ "pile_set_name": "DM Mathematics" }
rs of 627599? 7, 89657 What are the prime factors of 7427282? 2, 421, 8821 What are the prime factors of 14190315? 3, 5, 946021 What are the prime factors of 545736? 2, 3, 22739 What are the prime factors of 5665414? 2, 83, 34129 List the prime factors of 3805564. 2, 7, 135913 List the prime factors of 318716. 2, 17, 43, 109 List the prime factors of 2457164. 2, 614291 List the prime factors of 6589187. 11, 151, 3967 What are the prime factors of 449250? 2, 3, 5, 599 What are the prime factors of 545568? 2, 3, 5683 List the prime factors of 12426398. 2, 43, 131, 1103 List the prime factors of 906680. 2, 5, 19, 1193 List the prime factors of 1912722. 2, 3, 7, 45541 List the prime factors of 1953716. 2, 109, 4481 List the prime factors of 84636. 2, 3, 2351 What are the prime factors of 318922? 2, 181, 881 List the prime factors of 585750. 2, 3, 5, 11, 71 What are the prime factors of 1696050? 2, 3, 5, 3769 What are the prime factors of 1096106? 2, 11, 49823 What are the prime factors of 8414387? 8414387 List the prime factors of 611116. 2, 11, 17, 19, 43 List the prime factors of 18247308. 2, 3, 43, 35363 List the prime factors of 2546095. 5, 19, 26801 What are the prime factors of 4724556? 2, 3, 393713 What are the prime factors of 10692483? 3, 521, 6841 What are the prime factors of 21173738? 2, 17, 79, 7883 What are the prime factors of 1048335? 3, 5, 47, 1487 List the prime factors of 7776046. 2, 3888023 List the prime factors of 3862609. 3862609 List the prime factors of 3634190. 2, 5, 7, 193, 269 What are the prime factors of 6842219? 6842219 What are the prime factors of 5297700? 2, 3, 5, 17659 What are the prime factors of 603524? 2, 150881 What are the prime factors of 401070? 2, 3, 5, 29, 461 What are the prime factors of 790740? 2, 3, 5, 23, 191 List the prime factors of 2201810. 2, 5, 13, 16937 What are the prime factors of 533663? 13, 41051 What are the prime factors of 9677889? 3, 13, 181, 457 What are the prime factors of 17322224? 2, 19, 2999 List the prime factors of 15996404. 2, 19, 109, 1931 List the prime factors of 492854. 2, 83, 2969 What are the prime factors of 5500087? 37, 43, 3457 List the prime factors of 1159642. 2, 11, 52711 What are the prime factors of 1023581? 13, 78737 What are the prime factors of 9758624? 2, 23, 13259 List the prime factors of 37982873. 1453, 26141 List the prime factors of 637384. 2, 11, 7243 List the prime factors of 37866469. 31, 1221499 List the prime factors of 3449991. 3, 37, 31081 List the prime factors of 2149368. 2, 3, 13, 83 What are the prime factors of 2137482? 2, 3, 23, 1721 What are the prime factors of 2105308? 2, 163, 3229 What are the prime factors of 5757572? 2, 1439393 List the prime factors of 365121. 3, 13523 What are the prime factors of 16789377? 3, 11, 41, 12409 List the prime factors of 2423281. 7, 103, 3361 What are the prime factors of 2007527? 2007527 List the prime factors of 27527685. 3, 5, 131, 14009 What are the prime factors of 88673? 13, 19, 359 List the prime factors of 257489. 257489 What are the prime factors of 117281? 117281 List the prime factors of 8535374. 2, 137, 31151 What are the prime factors of 22765994? 2, 11382997 List the prime factors of 109944. 2, 3, 509 List the prime factors of 6125146. 2, 109, 28097 List the prime factors of 400247. 400247 List the prime factors of 33701855. 5, 11, 317, 1933 List the prime factors of 251787. 3, 17, 4937 What are the prime factors of 5804618? 2, 2902309 List the prime factors of 1039486. 2, 7, 10607 What are the prime factors of 4803458? 2, 11, 23, 863 List the prime factors of 1365371. 7, 195053 List the prime factors of 5635999. 5635999 List the prime factors of 3247818. 2, 3, 7, 11047 What are the prime factors of 1021881? 3, 7, 48661 List the prime factors of 4625782. 2, 7, 330413 List the prime factors of 77855. 5, 23, 677 What are the prime factors of 3827103? 3, 7, 182243 List the prime factors of 28708546. 2, 17, 844369 List the prime factors of 583398. 2, 3, 32411 List the prime factors of 2716076. 2, 11, 61729 What are the prime factors of 1914985? 5, 449, 853 What are the prime factors of 862651? 862651 List the prime factors of 46255. 5, 11, 29 What are the prime factors of 57120? 2, 3, 5, 7, 17 List the prime factors of 897232. 2, 7, 8011 List the prime factors of 560378. 2, 7, 13, 3079 What are the prime factors of 1776428? 2, 23, 19309 List the prime factors of 741843. 3, 139, 593 What are the prime factors of 1019725? 5, 7, 5827 List the prime factors of 131766. 2, 3, 21961 What are the prime factors of 727280? 2, 5, 9091 List the prime factors of 1628996. 2, 407249 What are the prime factors of 3101454? 2, 3, 53, 3251 List the prime factors of 4089519. 3, 7, 139, 467 What are the prime factors of 172992? 2, 3, 17, 53 What are the prime factors of 311596? 2, 77899 List the prime factors of 128689. 11, 11699 What are the prime factors of 396182? 2, 198091 List the prime factors of 994436. 2, 248609 List the prime factors of 9345949. 911, 10259 List the prime factors of 2582112. 2, 3, 13, 2069 List the prime factors of 3405517. 37, 92041 List the prime factors of 630914. 2, 19, 16603 List the prime factors of 456025. 5, 17, 29, 37 List the prime factors of 20095133. 20095133 List the prime factors of 98605. 5, 13, 37, 41 List the prime factors of 25759432. 2, 3219929 List the prime factors of 54073. 23, 2351 What are the prime factors of 900299? 61, 14759 List the prime factors of 10205901. 3, 1133989 What are the prime factors of 814692? 2, 3, 67891 List the prime factors of 651733. 651733 What are the prime factors of 269958? 2, 3, 13, 3461 List the prime factors of 617838. 2, 3, 13, 89 List the prime factors of 2288407. 11, 208037 List the prime factors of 28181. 28181 What are the prime factors of 673332? 2, 3, 11, 5101 List the prime factors of 264165. 3, 5, 11, 1601 What are the prime factors of 185473? 31, 193 List the prime factors of 9858842. 2, 7, 773, 911 What are the prime factors of 22889938? 2, 11444969 List the prime factors of 4818709. 7, 43, 2287 What are the prime factors of 2619718? 2, 59, 149 List the prime factors of 6494208. 2, 3, 7, 151 What are the prime factors of 113001? 3, 7, 5381 List the prime factors of 8535519. 3, 948391 List the prime factors of 20851940. 2, 5, 1042597 What are the prime factors of 2368835? 5, 7, 53, 1277 What are the prime factors of 6046807? 13, 19, 24481 What are the prime factors of 8210? 2, 5, 821 What are the prime factors of 7735074? 2, 3, 1289179 What are the prime factors of 453764? 2, 17, 6673 List the prime factors of 289690. 2, 5, 59, 491 List the prime factors of 79530. 2, 3, 5, 11, 241 What are the prime factors of 191880? 2, 3, 5, 13, 41 What are the prime factors of 307163? 307163 What are the prime factors of 12801298? 2, 1021, 6269 What are the prime factors of 135363? 3, 45121 What are the prime factors of 1291256? 2, 161407 What are the prime factors of 297221? 29, 37, 277 What are the prime factors of 1079368? 2, 134921 List the prime factors of 3866. 2, 1933 What are the prime factors of 8487690? 2, 3, 5, 23, 12301 What are the prime factors of 4541471? 11, 181, 2281 List the prime factors of 9340141. 601, 15541 List the prime factors of 16836. 2, 3, 23, 61 What are the prime factors of 949110? 2, 3, 5, 17, 1861 What are the prime factors of 553600? 2, 5, 173 What are the prime factors of 4965891? 3, 7, 236471 List the prime factors of 4416471. 3, 163573 List the prime factors of 31250969. 31250969 What are the prime factors of 1125436? 2, 13, 23, 941 List the prime factors of 18412359. 3, 7, 53, 71, 233 List the prime factors of 449441. 449441 List the prime factors of 123488. 2, 17, 227 List the prime factors of 10051519. 41, 61, 4019 List the prime factors of 2063381. 19, 131, 829 List the prime factors of 1105978. 2, 23, 24043 List the prime factors of 9902207. 7, 877, 1613 What are the prime factors of 60742? 2, 11, 251 What are the prime factors of 1828436? 2, 41, 11149 List the prime factors of 2190597. 3, 730199 What are the prime factors of 154328? 2, 101, 191 What are the prime factors of 264457? 373, 709 List the prime factors of 19113817. 59, 131, 2473 What are the prime factors of 5916843? 3, 43, 15289 List
{ "pile_set_name": "DM Mathematics" }
st value in -5, 6, 0.2, -4, 18, 4? 6 Which is the fourth biggest value? (a) 555 (b) 5/2 (c) 0.2 (d) 0.3 c Which is the biggest value? (a) -2/467 (b) 3 (c) -6 (d) -1/5 (e) -1 b What is the third biggest value in -1/12989, 2/13, -0.07, 4? -1/12989 What is the fourth smallest value in 1/3, 0.1, 7/6, 2, -28? 7/6 What is the second biggest value in 1, -4.2, 0, 5, 8.4? 5 What is the second biggest value in 5, 8, 6149? 8 Which is the biggest value? (a) 3 (b) 1 (c) -0.34 (d) -19 (e) -2 a What is the biggest value in 51426.7, 1/9, 0? 51426.7 Which is the fourth biggest value? (a) -4 (b) 31/66 (c) -15/8 (d) -2/7 a Which is the second biggest value? (a) 0.2 (b) 0.3 (c) -1/3 (d) -1255 a Which is the third biggest value? (a) -63/103 (b) 5/2 (c) -0.5 a Which is the third smallest value? (a) -89 (b) -3 (c) 13 (d) 222 c Which is the fourth biggest value? (a) 40 (b) 1 (c) -1/5 (d) -6 (e) 0 c Which is the fifth biggest value? (a) 0.65 (b) 1.1 (c) 1/2 (d) -2/5 (e) -1/2 e Which is the second biggest value? (a) -0.07 (b) 2 (c) -2/97 (d) 0 (e) -0.63 (f) -0.3 d Which is the fourth biggest value? (a) -22.42 (b) 1 (c) 3/8 (d) 68 a What is the second biggest value in 0.3, -3, -0.3, -14566/7? -0.3 Which is the fourth smallest value? (a) 3 (b) -3/2 (c) -20 (d) -0.2 (e) -69 d What is the fourth biggest value in -5, 1/8, 1/3, 0.039, -2/77? -2/77 What is the third smallest value in -21.599, 9, 0.3? 9 Which is the third biggest value? (a) 9 (b) 5 (c) -0.4 (d) -2/497 d Which is the biggest value? (a) 2 (b) -3.2 (c) -8278 a What is the second biggest value in 13/42, 4/5, 125? 4/5 Which is the third biggest value? (a) -1/6 (b) 1/2 (c) 4227 (d) -1 a What is the third biggest value in -2, 12, 5, -0.071962? -0.071962 What is the fifth biggest value in 4, 6, -2/13, 72/7, 0.5, -2/7? -2/13 What is the smallest value in 0.03, 10, 1/6, 1/3, -16? -16 What is the smallest value in 0, -63036, 1? -63036 Which is the third smallest value? (a) -190/3 (b) -43 (c) 2 c What is the fourth biggest value in 2/9, 1/11, -62, 2? -62 Which is the second biggest value? (a) -0.465 (b) -1/12 (c) -0.3 c Which is the fifth smallest value? (a) 2/13 (b) 3 (c) -2 (d) -305/7 (e) 1/4 (f) -0.17 e Which is the third biggest value? (a) -101 (b) 4/17 (c) 0 (d) -0.3 d Which is the smallest value? (a) 5 (b) -1157 (c) 1/2 (d) 0.1 b What is the second biggest value in 4/5, -18.8, -2/9, 137? 4/5 Which is the fourth smallest value? (a) -3 (b) -0.6 (c) 2/11 (d) 1 (e) -117 c What is the second smallest value in 0.2, 33/107, 93? 33/107 What is the fifth biggest value in 1/3, 1, 143, -4, -5, -9? -5 Which is the fifth biggest value? (a) -79 (b) 5 (c) 0.076 (d) -3 (e) -4 a Which is the fourth smallest value? (a) -2/5 (b) 3899 (c) 0.5 (d) -34 (e) 1 (f) -3 c What is the third smallest value in -20/6017, -2, 0? 0 What is the second smallest value in -3/8, 6, -0.1, -5, 1? -3/8 What is the second smallest value in 10/11, -7, 1329? 10/11 Which is the third smallest value? (a) 1/3 (b) -3/5 (c) -1.77436 a Which is the biggest value? (a) 1/9 (b) 2 (c) 79 (d) -15 c Which is the third smallest value? (a) 3 (b) 4.9 (c) 2/3 (d) -31 (e) -1/9 c Which is the fifth biggest value? (a) 2/109 (b) -3 (c) -0.5 (d) -0.2 (e) -9 e What is the second smallest value in 34.68, -0.3, 3, -3/8, 2/5? -0.3 Which is the second biggest value? (a) 11 (b) 312 (c) 41/2 c Which is the third biggest value? (a) -643/4 (b) 2 (c) -0.03 (d) -1/3 (e) 0.3 c What is the second smallest value in -2, -3, 1/2, -2847? -3 Which is the fifth smallest value? (a) -587 (b) -5 (c) -0.5 (d) 0.2 (e) -0.1 d What is the second smallest value in 4, -1.1, 0.2, 2, -20/11, -2/3? -1.1 Which is the second biggest value? (a) -0.33 (b) 1 (c) -116 (d) 0.5 d What is the second smallest value in -3189, 3, 2/9? 2/9 What is the second smallest value in -2/7, -8343, 1/6, 4/7? -2/7 What is the third smallest value in -0.3, -801, -0.5, 10, 0.3? -0.3 Which is the second biggest value? (a) -0.1 (b) 0.3 (c) 0 (d) -2/113 c Which is the smallest value? (a) 1017 (b) -1 (c) 1/3 (d) -3 (e) 0.4 (f) 3 d What is the fourth biggest value in 445, 0, -1, 8? -1 What is the fourth biggest value in -3902, -51, -0.4, -4? -3902 Which is the fourth smallest value? (a) -26 (b) 2/5 (c) -4 (d) 673 d What is the fifth smallest value in -3/2, -1/1117, 2/7, -1/6, 1/5? 2/7 What is the biggest value in -1/4, 1/7, 0.029, -1/6, 0? 1/7 Which is the fourth smallest value? (a) -5/3 (b) -83 (c) -0.01 (d) 4 (e) 57 (f) 1/3 f What is the fifth smallest value in -4, -3/4, -3, -13, 656? 656 What is the fourth biggest value in 4, 9, -16/83, 7? -16/83 What is the fourth biggest value in -89, 2, 3, 0.1, -8/3, -0.4? -0.4 What is the smallest value in 34, -0.3, -18, -12, -1/2? -18 What is the second biggest value in -2, -4, 1, -49442, 0.5? 0.5 Which is the third biggest value? (a) 3 (b) 24 (c) 5 (d) -8/3 a What is the fourth biggest value in -81, 0.1209, 5, -3, 0.1? -3 Which is the fourth smallest value? (a) 94.7 (b) -0.03 (c) 0.1 (d) -2 (e) 1 e What is the third smallest value in -44, -2/15, 0, 2? 0 What is the third smallest value in -9, 5, 1.45, -5? 1.45 Which is the smallest value? (a) -1 (b) -1/4 (c) -1/2 (d) 3/2 (e) 65 (f) -10/9 f Which is the second smallest value? (a) -4/11705 (b) 2/11 (c) 0.06 (d) 0.2 c What is the fourth smallest value in -0.5, 17.63, 3, -0.3? 17.63 What is the second smallest value in 2, 3/64, 0.04, -0.31? 0.04 What is the fifth biggest value in 0.5, -0.171731, 0.1, -2, -2/9? -2 What is the second biggest value in 0.67, 5/2, 0, 1, 2/5? 1 Which is the third biggest value? (a) -47 (b) 2/17 (c) -16 a What is the third smallest value in 76, -0.3, 2/29? 76 What is the sixth biggest value in 1/2, -8, 19, -2/11, 0.1, 3? -8 Which is the second smallest value? (a) -0.3 (b) -0.04 (c) -0.29 (d) -13 (e) -5 (f) -2/7 e Which is the third smallest value? (a) 2/7 (b) 4 (c) -31027 (d) 5 b Which is the third biggest value? (a) 2/47 (b) 5.9 (c) 67 a What is the third biggest value in 1, -2/3, -4, 4/9, 2/9? 2/9 What is the third smallest value in -7, 18780/23, 3/5? 18780/23 Which is the second biggest value? (a) 0.5 (b) -3/11 (c) 56 a What is the smallest value in -47, -0.4, -1.55? -47 What is the smallest value in -2/29, 8, -0.113, 3? -0.113 What is the second biggest value in 1/3, 0.8, -7113? 1/3 What is the biggest value in 0, 596, -0.22, -0.5? 596 Which is the smallest value? (a) 4 (b) 4/3 (c) 1.2 (d) -1860 (e) -5 d Which is the fourth smallest value? (a) -5 (b) -2.53 (c) 22 (d) 1/10 c Which is the third smallest value? (a) -2 (b) 29 (c) 5367 c What is the second biggest value in 10, 1, 237? 10 Which is the second biggest value? (a) -2/21 (b) -0.04 (c) -2554 (d) 2/39 b What is the fourth biggest value in 0.9, -46, -21.1, 0? -46 Which is the fifth biggest value? (a) -9 (b) 0 (c) -29 (d) 12 (e) 0.5 c Which is the smallest value? (a) -81 (b) -7/2 (c) 1/3 (d) 1/2 (e) 4/3 a What is the second smallest value in -2/11, -2, -3, 59, -11/6? -2 Which is the biggest value? (a) 2 (b) 0.2 (c) -0.3 (d) 4 d What is the smallest value in 16/5, 2, 4338? 2 Which is the smallest value? (a) 2367 (b) 0 (c) 4 (d) 1 b Which is the third smallest value? (a) 2 (b) -451 (c) -3 a What is the third smallest value in -0.21, 2, 2/15? 2 What is the smallest value in 0.0095, -3, -87/7? -87/7 What is the second smallest value in 64, -0.5, 45, -2, -3, -1/5? -2 Which is the third biggest value? (a) 0.4 (b) 8 (c) -1/33 c What is the fifth biggest value in -1, -1/112, 1/8, -3, 5? -3 What is the fourth biggest value in 5, 19/12, -2, -5, -0.1? -2 Which is the fourth biggest value? (a) 5 (b) 0.4 (c) -5163 (d) 0.5 c Which is the smallest value? (a) 9 (b) -15 (c) -1/7 b What is the third smallest value in 0.4, 9979, -0.4, 0.2? 0.4 What is the third biggest value in 0.2, 2574, -3/4, 3/28, -5? 3/28 Which is the second biggest value? (a) 5 (b) 1/115 (c) 2/21 (d) 2 d What is the fifth smallest value in 176/3, -5, 2/15, -6, 3? 176/3 Which is the biggest value? (a) 2 (b) 219 (c) 15 b Which is the biggest value? (a) 0.4 (b) -23 (c)
{ "pile_set_name": "DM Mathematics" }
-1033 - -1065. Calculate the remainder when q is divided by 18. 14 Suppose 150 = 5*y - 5*x, 0 = -3*y + 2*x - 4*x + 80. Calculate the remainder when 110 is divided by y. 26 Suppose -2*r + 7 + 3 = 0. Suppose -r*z + 132 = -23. Calculate the remainder when z is divided by 17. 14 Let r(d) = -d**3 - 19*d**2 + 16*d - 4. Let l be r(-20). Suppose 0*h - l = -5*z + 2*h, 5*h = 10. What is the remainder when 57 is divided by z? 9 Suppose 0 = 2*t + s - 17, -t + 21 = -16*s + 19*s. What is the remainder when 28 is divided by t? 4 Let z = -470 + 485. What is the remainder when 208 is divided by z? 13 Let j = -5 + 7. Suppose j*v + 2*v - 108 = 0. Suppose -i + 2*i = v. Calculate the remainder when i is divided by 15. 12 Suppose g - 2*g + 108 = 0. What is the remainder when g is divided by (-37)/((-2)/2 + 0)? 34 Suppose 0 = 3*q - o - 2506, -3*q - 5*o + 1924 + 612 = 0. What is the remainder when q is divided by 7? 4 Let p = 55 - 28. Let h be 3 + -4 + -3 + p. Let z = h + -14. What is the remainder when 24 is divided by z? 6 Calculate the remainder when 102 is divided by (0/5 + (-12)/(-15))*45. 30 Let s be (-3)/(9/(-27) - 4/6). Let t be 4/(-16) + 47/(-4). What is the remainder when (-45)/t + s/(-4) is divided by 2? 1 Suppose 7*z - 19*z + 120 = 0. Suppose 0 = -2*b + 5 + 3. Suppose 2*w = b*p + 50, 3*w + 0*w + 2*p = 83. Calculate the remainder when w is divided by z. 7 Suppose -8*k - 298 = -642. What is the remainder when 155 is divided by k? 26 Let g = -351 + 457. Calculate the remainder when g is divided by 54. 52 Let r be (345/(-10))/(((-9)/(-12))/1). Let h = r + 61. Calculate the remainder when h is divided by 8. 7 Let p(u) = u**3 + 8*u**2 + 4*u - 6. Let d = -226 + 351. What is the remainder when d is divided by p(-4)? 41 Let a be ((-752)/3)/(-4) + 6/(-9). What is the remainder when 1 + -5 + a + 6/(-3) is divided by 12? 8 Suppose 0 = -3*p - 2*p. Suppose p = z - 2*z - 9. Let u = 12 + z. Calculate the remainder when 6 is divided by u. 0 Let d(u) = u**3 + 12*u**2 + 30. Calculate the remainder when 158 is divided by d(-11). 7 Let d(h) = 3*h + 15. Let y be d(-4). Suppose 2*o = 4*o - 66. Suppose -y*n + o = -0*n. What is the remainder when n is divided by 6? 5 Let f(q) = -q**3 + 2*q**2 + q + 46. Calculate the remainder when f(0) is divided by 8. 6 Let f(z) = -z**2 - 13*z + 37. What is the remainder when f(-14) is divided by 18? 5 Let g(w) = -w**3 - 3*w**2 - w. Let b be g(-3). Let q be (27/6)/(b/4). What is the remainder when 13 is divided by q/(-5)*200/(-30)? 5 Let u = -26 - -51. Let n be (-43)/(-3) + 10/6. Suppose 45 = 3*o + 2*t, o + t = -0*t + n. Calculate the remainder when u is divided by o. 12 What is the remainder when 749 is divided by -9*(-8)/12 - -10? 13 Suppose -3*m = 20 + 16. Suppose 5*p = 9*p - 196. Let t = p + m. What is the remainder when t is divided by 10? 7 Suppose -6*o + 18 = 6. Suppose d + 3*c - 97 = -d, -o*d = 4*c - 92. What is the remainder when d is divided by 15? 11 Let k(z) = -z**3 + 7*z**2 - 6. Let m be k(7). Suppose -3*l + 26 - 2 = -5*i, -2*l - 5*i + 16 = 0. Calculate the remainder when 58 is divided by 19 + l/m*3. 13 Let l = 439 + -320. Calculate the remainder when l is divided by 12. 11 Let b be 53*(1 - 6 - 1/(-1)). Let p = b + 325. Calculate the remainder when p is divided by 38. 37 Suppose 75 = 177*n - 174*n. Suppose 0 = 2*a + 2*m - 14, 4 = -4*a + 5*m - 13. Suppose -a*y = 3*y - 65. What is the remainder when n is divided by y? 12 Let l(m) = -4*m + 25. Calculate the remainder when 243 is divided by l(-4). 38 Let r(x) be the third derivative of -x**5/20 - 7*x**4/6 - 5*x**3/6 - 20*x**2. Let m(o) = -50*o + 1. What is the remainder when m(-1) is divided by r(-8)? 24 Suppose -2*c - 13 = -8*y + 3*y, 2*c = -4*y + 14. Suppose o = 3*s - c, 3*o + 2*s - 27 = s. Calculate the remainder when 54 is divided by o. 6 Let m be 1/(-6) + (-109)/(-6). Suppose 0 = -f - i + 2, 5*f - i - m = 2*i. Suppose f*l + 5 = 26. What is the remainder when 12 is divided by l? 5 Suppose 5*s - 65 = -3*w, 3*s - 4*w - 84 = -s. What is the remainder when 59 is divided by s? 11 Let a(m) = 4 - m + m**2 + 0*m**2 + 9. Suppose 0 = 22*f + 13*f - 3080. Calculate the remainder when f is divided by a(0). 10 Suppose 0 = 2*s - 4*j - 220, 3*s + 2*s + 2*j = 550. Calculate the remainder when s is divided by 23. 18 Suppose -5 = z, -2*o - z + 29 = -0*z. Suppose 2*i - 38 = -q + 52, q - 93 = -3*i. Calculate the remainder when q is divided by o. 16 Suppose 0 = 5*z - 2*b - 6, -5*b - 15 = 2*z - 0. Suppose -h = -z*u - 4*u - 38, 4*h + 5*u = 89. What is the remainder when h is divided by 9? 8 Suppose 4*v - 6 = 2*y, 7 = -v + 5*y - 5. Suppose 8 = -v*l + 23. Suppose 2*t - 3*t = -2*s - 10, l*t - 3*s = 64. Calculate the remainder when t is divided by 6. 2 Let c(q) = 4*q**2 + q + 1. Let s(l) = l**2 + 2*l - 2. Let o be 4 + -6 + (0 - 3). Calculate the remainder when s(o) is divided by c(-1). 1 Let q = 662 + -657. Suppose -18 - 36 = -3*d. Let t = d + -13. What is the remainder when t is divided by q? 0 Suppose 30*n + 6 = 28*n, -r + n + 90 = 0. Suppose 64 = 2*x + 20. Calculate the remainder when r is divided by x. 21 Let o = -30 + 27. What is the remainder when 38 is divided by (-40)/o - ((-14)/(-6) + -2)? 12 Let o = 31 + -28. Suppose o*n + 21 = 10*n. What is the remainder when 22 is divided by n? 1 Let f = -194 - -381. What is the remainder when f is divided by 19? 16 Let w(t) = 6*t**2 + 95*t + 275. Suppose 2*y - 32 - 4 = -2*m, -4*m - 3*y = -69. What is the remainder when w(-3) is divided by m? 14 Calculate the remainder when 45/(-18) + 2 + 186/4 is divided by 5. 1 Let i be (-8)/2 + -3 + 4. Let t be -2*(52/(-8) + i). Let x = 76 + t. What is the remainder when x is divided by 24? 23 Suppose -6*r + 120 + 324 = 0. What is the remainder when r is divided by 41? 33 Suppose -3*w = -v - 176, -5*v - 128 - 125 = -4*w. Calculate the remainder when 150 is divided by w. 36 Suppose -4*a + 25 = -3*j, 9*j - 2*a + 11 = 8*j. Let d be 1/(-2)*(0 - 2). What is the remainder when 11 is divided by (j/(1/d))/(-1)? 2 Let i(f) = f**2 + f. Let m(x) = x**3 + 7*x**2 + 8*x - 2. Let c(g) = 2*i(g) - m(g). What is the remainder when c(-4) is divided by 2? 0 Suppose -9*m - 1 = -10. What is the remainder when 17 is divided by m? 0 Let n = -516 - -610. Calculate the remainder when 459 is divided by n. 83 Suppose 0 = -4*c - 3*r + 6, c + 4*r = -0*c - 5. Let x = 4 - c. What is the remainder when (4/10)/(x/50) is divided by 11? 9 Suppose 6*p = 2*p + 32. Calculate the remainder when (2/3)/((-17)/(-16269)*22) is divided by p. 5 What is the remainder when -6*(-6)/36 - (-499 + -1) is divided by 24? 21 Suppose -4*q = 3*z - 108, -q + 44 = -0*z + 5*z. Suppose 4*i + q = 7*i. Suppose -3*f + i*f - 70 = 0. What is the remainder when f is divided by 4? 2 Let l(r) = -15*r**2 - r**3 + r**2 + 0*r**3 + 6. Let z be l(-14). Let c = z + -1. Calculate the remainder when c is divided by 3. 2 Suppose 5*y + 2*k - 100 = 3*k, -4*y + 81 = -k. Let r(f) = -f**3 + 6*f**2 - f - 12. Calculate the remainder when y is divided by r(5). 3 Let u = -22 + 22. Suppose u = 5*r + 2*z - 274 + 69, 0 = 3*r + 5*z - 104. Calculate the remainder when r is divided by 11. 10 Let s = -119 - -379. What is the remainder when s is divided by 11? 7 Suppose 67 + 17 = 4*q. Calculate the remainder when q is divided by 5. 1 Suppose -2*q + 13 + 11 = 0. Suppose 0 = -2*p - b + 92, p + 3 = 3*b + 35. Let l = 1 + p. What is the remainder when l is divided by q? 9 Suppose 28*k + 5*y + 272 = 31*k, -4*k = -3*y - 381. Calculate the remainder when k is divided by 31. 6 Suppose 2*n + f = 38, 57 = 2*n - 2*f + 13. Calculate the remainder when 376 is divided by n. 16 Suppose u + o = 256, 7*u - 2*u + o - 1284 = 0. What is the remainder when u is divided by 79? 20 Let m(n) = 19*n**3 + 3*n**2 + 2*n. Let h(b) = -37*b**3 - 7*b**2 - 5*b. Let w(j) = 3*h(j) + 7*m(j). Calculate the remainder when w(1) is divided by 11. 10 Let l be (-10)/35 - 4/(-14). Let n(y) = y + 1. Let t(h) = 4*h + 19. Let q(c) = -5*n(c) + t(c). Calculate the remainder when q(l) is divided by 4. 2 Let d = 250 - 65. Calculate the remainder when d is divided by 24. 17 Let t(c) = c**3 + 4*c**2 - c. Let s be t(-4). Suppose -102*p + 100*p + 32 = 0. Let v = p - s. What is the remainder when 20 is divided by v? 8 Let k be -1 + (-10)/(-2) + 0. Let p = k - 5. Calculate
{ "pile_set_name": "DM Mathematics" }
0 divided by -12 5/6 Calculate -75 divided by -15. 5 Divide 1658 by 11. 1658/11 What is -6195 divided by 413? -15 316 divided by 79 4 What is -3 divided by -5529? 1/1843 Calculate 1705 divided by -31. -55 What is -74660 divided by -4? 18665 Divide -159680 by 4. -39920 -166 divided by 83 -2 -3878 divided by -1939 2 What is -29 divided by 103? -29/103 Divide 5 by -29. -5/29 Divide 301 by 3. 301/3 Divide -4 by -121. 4/121 Divide 6 by 173. 6/173 What is -316 divided by -158? 2 What is 294 divided by 98? 3 Calculate 10 divided by 5. 2 What is 58 divided by -2? -29 Divide -60 by -5. 12 Calculate -9332 divided by 2333. -4 Calculate 0 divided by 741. 0 -2110 divided by -211 10 Divide -5 by 81. -5/81 -4 divided by 679 -4/679 1068 divided by 4 267 Divide 5 by -7259. -5/7259 Divide 636 by -1. -636 308 divided by 11 28 Calculate 28 divided by 28. 1 -25140 divided by 3 -8380 What is 88 divided by 34? 44/17 What is -5423 divided by -29? 187 Calculate -328 divided by 8. -41 Divide 2 by -103. -2/103 Calculate -19 divided by -5. 19/5 Calculate -384 divided by 96. -4 What is -11818 divided by -5909? 2 Calculate 2254 divided by 49. 46 Divide 1665 by 111. 15 What is -4 divided by -51? 4/51 Calculate -7464 divided by 1866. -4 Divide -67 by -4. 67/4 Calculate 704 divided by 64. 11 3 divided by 2671 3/2671 Calculate 3200 divided by -640. -5 900 divided by -6 -150 Divide -664 by -166. 4 What is 131 divided by 33? 131/33 Calculate 5575 divided by -5. -1115 -1484 divided by -212 7 Divide 672 by 4. 168 -1268 divided by -4 317 Divide -128 by -16. 8 Calculate -9 divided by 5. -9/5 326 divided by -6 -163/3 4 divided by -45 -4/45 Calculate 3 divided by -121. -3/121 Divide 1953 by 93. 21 -139 divided by 1 -139 Calculate -1 divided by 1373. -1/1373 138 divided by 23 6 -560 divided by -560 1 Calculate -28 divided by -763. 4/109 What is -492 divided by -164? 3 Calculate -794 divided by -2. 397 -28467 divided by 5 -28467/5 Calculate -534 divided by -2. 267 -16 divided by -16 1 What is -8 divided by -158? 4/79 Divide -48 by -16. 3 Calculate -140 divided by 70. -2 -3 divided by -31 3/31 Calculate -2 divided by 754. -1/377 Divide 424 by -53. -8 Calculate -31681 divided by -1. 31681 What is 2040 divided by -17? -120 Divide 32 by -50. -16/25 What is 2 divided by 242? 1/121 Divide -4455 by -5. 891 30016 divided by -8 -3752 What is 20 divided by 8? 5/2 What is 387 divided by 43? 9 Calculate -234 divided by 117. -2 Divide 2580 by -860. -3 Divide -1 by 33. -1/33 Calculate 28 divided by 4. 7 Calculate -10 divided by 30. -1/3 What is 3104 divided by -16? -194 What is 0 divided by 37? 0 What is -1476 divided by 18? -82 Calculate 450 divided by 47. 450/47 Calculate 3848 divided by -4. -962 649 divided by 17 649/17 414 divided by 9 46 1618 divided by -6 -809/3 Calculate 56 divided by -6. -28/3 Calculate -4 divided by -31. 4/31 81 divided by -7 -81/7 Calculate 108 divided by -6. -18 78 divided by 6 13 What is 4170 divided by -695? -6 What is -351 divided by -27? 13 Divide -16 by 1. -16 What is 291 divided by -34? -291/34 Calculate -62 divided by -4. 31/2 Calculate -120 divided by -2. 60 Divide 2524 by -4. -631 258 divided by 43 6 What is 15 divided by -11? -15/11 What is 193 divided by 6? 193/6 What is 0 divided by 97? 0 6 divided by 75 2/25 What is 2646 divided by 7? 378 What is 226 divided by 113? 2 What is 399 divided by 2? 399/2 -441 divided by 49 -9 Divide -11 by -49. 11/49 Calculate -3 divided by -21. 1/7 Divide -8060 by -62. 130 Calculate 3 divided by -190. -3/190 What is 3074 divided by -2? -1537 Divide -2 by 44. -1/22 What is 2580 divided by -1? -2580 Divide -1 by 343. -1/343 What is -43040 divided by 4? -10760 Divide 5319 by 3. 1773 Calculate 0 divided by -43. 0 Calculate 33 divided by 80. 33/80 0 divided by 5023 0 Calculate 1668 divided by -417. -4 What is -14 divided by 389? -14/389 Divide -2 by 40. -1/20 528 divided by 4 132 -1 divided by 222 -1/222 Divide 28 by 1. 28 Divide -364 by -182. 2 What is 1092 divided by 364? 3 What is 426 divided by -3? -142 Divide 16 by -7. -16/7 Calculate 325 divided by 65. 5 Calculate -296 divided by -5. 296/5 What is 195 divided by 3? 65 Divide -160 by 5. -32 Divide 0 by -3778. 0 -14980 divided by -28 535 Divide 5 by -11. -5/11 3082 divided by 67 46 Divide 63918 by 6. 10653 -143706 divided by 6 -23951 Divide 168 by 2. 84 What is 3469 divided by 1? 3469 Calculate 52 divided by 52. 1 Calculate -17 divided by -17. 1 What is 10 divided by 446? 5/223 Calculate 834 divided by 6. 139 Divide 0 by 41. 0 Calculate 604 divided by 4. 151 Divide 1948 by 974. 2 What is -605 divided by -121? 5 Divide -128 by 2. -64 What is 14 divided by -7? -2 Divide -202 by 101. -2 What is 3 divided by 199? 3/199 4 divided by -93 -4/93 Divide 395 by 79. 5 0 divided by -5 0 Calculate -8 divided by -1. 8 Divide 45 by -47. -45/47 -447 divided by 1 -447 Divide 2552 by 4. 638 -105 divided by -15 7 Divide 8107 by 1. 8107 261 divided by 5 261/5 What is 56 divided by 62? 28/31 What is -17 divided by -105? 17/105 What is 99 divided by 2? 99/2 Divide -10974 by -3. 3658 56 divided by 7 8 4 divided by -45 -4/45 Calculate -3072 divided by -24. 128 Calculate 531 divided by 59. 9 Calculate 4 divided by -147. -4/147 Divide -279 by 9. -31 21318 divided by -627 -34 Calculate -297 divided by 5. -297/5 -7532 divided by -1883 4 6 divided by 243 2/81 What is -101 divided by -2? 101/2 What is -1736 divided by 4? -434 Calculate 576 divided by 5. 576/5 Calculate -5 divided by 2978. -5/2978 Calculate 2071 divided by -3. -2071/3 -8492 divided by -11 772 What is -514 divided by 5? -514/5 What is -86 divided by 22? -43/11 Divide 160 by 1. 160 What is 0 divided by -133? 0 What is 255 divided by -15? -17 Divide -1152 by -23. 1152/23 Calculate 598 divided by 13. 46 0 divided by -10 0 248 divided by 4 62 Calculate 1660 divided by 830. 2 10 divided by -469 -10/469 Divide 625 by -625. -1 Calculate -76 divided by -4. 19 -29 divided by -1 29 1 divided by 207 1/207 Divide -30 by 272. -15/136 Divide -25264 by -4. 6316 Calculate 4 divided by 49. 4/49 400 divided by 8 50 Calculate 742 divided by -371. -2 What is -708 divided by -354? 2 What is 210 divided by 105? 2 254 divided by -1 -254 Calculate 43 divided by -6. -43/6 Calculate 9394 divided by -2. -4697 3972 divided by -6 -662 Calculate -1869 divided by -623. 3 What is 5 divided by 476? 5/476 Calculate -20 divided by 20. -1 -5 divided by -134 5/134 What is -459 divided by -3? 153 Divide -41 by -41. 1 Divide 8107 by 2. 8107/2 Calculate 95 divided by 3. 95/3 Calculate -1505 divided by 5. -301 2 divided by -20 -1/10 2088 divided by 174 12 398 divided by -3 -398/3 Calculate -352 divided by 88. -4 Calculate -1847 divided by -6. 1847/6 1230 divided by 246 5 -4 divided by -2550 2/1275 What is -35 divided by -53? 35/53 Divide 2 by 157. 2/157 43735 divided by 5 8747 70 divided by 35 2 Calculate -14 divided by -1. 14 Divide 680 by 5. 136 Calculate -4 divided by 12. -1/3 5 divided by 45 1/9 What is -10656 divided by 3552? -3 What is 24 divided by -1? -24 Divide -58 by -58. 1 3 divided by 67 3/67 Divide -8298 by -461. 18 -9400 divided by -25 376 What is 197 divided by -11? -197/11 What is -2 divided by 2? -1 1575 divided by -5 -315 Calculate -1144 divided by -52. 22 Divide -416 by -1. 416 What is -2309 divided by -4? 2309/4 -3280 divided by 205 -16 Calculate -15512 divided by -2216. 7 Divide -69 by 69. -1 What is 13 divided by -338? -1/26 -228 divided by 12 -19 Divide -801 by 9. -89 What is 502 divided by -6? -251/3 What is 3 divided by 27? 1/9 Calculate -756 divided by -189. 4 252 divided by 6 42 Divide -4 by 32. -1/8 672 divided by 32 21 Calculate -1195 divided by 239. -5 Calculate 7733 divided by -1. -7733 14 divided by 7 2 What is 619 divided by -3? -619/3 -6 divided by 2 -3 Divide 8 by -346. -4/173 Calculate 286 divided by 2. 143 -3 divided by -189 1/63 Divide 2040 by 24. 85 What is 232 divided by 58? 4 97572 divided by 3 32524 Calculate -171 divided by 9. -19 What is 164 divided by -2? -82 118 divided by 13 118/13 0 divided by 64 0 Divide 126 by 4. 63/2 Calculate 15 divided by -212. -15/212 Divide 2010 by -670. -3 What is -118 divided by -59? 2 -132 divided by -66 2 What is 4 divided by -10? -2/5 -39123 divided by -3 13041 1343 divided by -17 -79 Divide 7011 by -123.
{ "pile_set_name": "DM Mathematics" }
828. Sort s, -2, 0, -5. s, -5, -2, 0 Let d = -3674 + 3680. Sort d, -221, -1 in decreasing order. d, -1, -221 Let o(i) = 11*i**3 + 2 - 8*i**3 - 2*i - 4*i**3. Let s be o(1). Let j be -2 - s/((-4)/(-56)*6). Sort j, 1.7, -5. -5, j, 1.7 Let n = 5796 - 5788. Sort n, 4/9, 5, 0, 2/17 in descending order. n, 5, 4/9, 2/17, 0 Let o(f) = f**3 - 19*f**2 - 2*f + 84. Let b be o(19). Let m be b/(-8) - 35/(-7). Put m, 0.09, -0.1 in descending order. 0.09, -0.1, m Let v(u) = -u**3 + 9*u**2 - 9*u + 8. Let d be v(8). Let i = 14.7718 + 0.2182. Let k = i + -15. Sort -0.3, k, d. -0.3, k, d Let w = -52 - -61. Let s(v) = 2*v**3 - 11*v**2 + 3*v + 10. Suppose 0 = -3*g + 6, -c - g + 7 = -0*c. Let a be s(c). Put w, 2, 1, a in ascending order. a, 1, 2, w Let q(d) = -3*d - 5. Let z be q(-4). Suppose z = 2*v - 5. Let t be (-1)/2 - (-2)/(-4). Sort 3, v, t. t, 3, v Let h = -3.77 + -0.23. Sort -105, h, 11 in descending order. 11, h, -105 Let l be 5/(-1 + -4 - -4). Let k be 2/(-5) - (-38)/l. Let r be (-451)/(-44) + 2/k. Put 0.4, r, 2 in ascending order. 0.4, 2, r Let r(v) = -2*v**3 + 39*v**2 + 60*v - 799. Let u be r(20). Put u, -9, 0, 32 in descending order. 32, u, 0, -9 Suppose 0 = -384*l + 380*l. Suppose 3 = -2*q + 9. Suppose 5*x = -j, 2*x = -2*j - q*j - 23. Sort x, l, 3 in ascending order. l, x, 3 Let a(h) = -2*h**3 + 11*h**2 + 6*h - 9. Let r(x) = x**2 + x + 1. Let d(g) = a(g) + 2*r(g). Let t = 2607 - 2600. Let o be d(t). Sort 3, 5, o. o, 3, 5 Let y(z) = z - 6. Let p be y(4). Let f(w) = -5*w**2 - 3*w - 3. Let i be f(-1). Sort p, 3, i, 0 in decreasing order. 3, 0, p, i Suppose k - 19 = 6*k + 3*p, 4*k + 5*p = -10. Let x = -10 + 5. Let b = x + 3.1. Sort b, 0.2, k. k, b, 0.2 Suppose -151*g - 65 = -146*g. Suppose z - 3*z = 0. Let k = z - 5. Sort k, 5, g in descending order. 5, k, g Let w = 0.1163 + -0.5163. Let p = 0.27 + 0.03. Put w, -9/7, p, -0.1 in ascending order. -9/7, w, -0.1, p Let v be (-67)/22*-4 - 6 - (-4)/(-1). Put -1.5, v, 2, -3 in ascending order. -3, -1.5, 2, v Let f = 37226 - 37225.7. Sort f, 47, -0.4, 1, 5/4 in decreasing order. 47, 5/4, 1, f, -0.4 Let i = -9 + 15. Let j = -15.01 + 545.01. Let v = j + -534. Put v, i, 2 in ascending order. v, 2, i Let b(f) = 439*f + 1314. Let g be b(-3). Put g, -17, 0, -91, 3 in descending order. 3, 0, g, -17, -91 Let j = -3128 - -3123. Let b = 0.03 - 4.03. Let l = -6 - b. Sort l, j, -0.08 in decreasing order. -0.08, l, j Let m = 31 - 94/3. Let l = 0.038079 - 5.038079. Put l, -4/7, m in decreasing order. m, -4/7, l Let i = 179 - 178.654. Let j = i - -0.054. Let k = -11/54 + 1/27. Put 0, 2/3, k, j in descending order. 2/3, j, 0, k Let y = 8902 + -8904. Put 2/11, 5, y, 43 in descending order. 43, 5, 2/11, y Let g be -3*((-110)/(-33) - 4). Sort -2, 1, 10, g. -2, 1, g, 10 Let u = -628 - -625. Let h be 1/(-1) + -1 + 0. Let g(f) = -f**2 - 24*f + 61. Let o be g(-26). Put h, u, -1, o in ascending order. u, h, -1, o Let k = 2.2 + -0.2. Let a = -26931.3 + 26931. Sort a, k, -4, 8/5 in decreasing order. k, 8/5, a, -4 Let s = 8.2 + -8. Let g = -3.223 - -3.623. Sort s, g, -22. -22, s, g Let u be (8 + -10)*(-13)/(-7). Sort 4, 2/5, u. u, 2/5, 4 Let l = 19 + -23. Let o(u) = 2*u**2 - 9*u - 7. Let a be o(-1). Sort a, 18, -1, l in descending order. 18, a, -1, l Let v = -6309 + 94637/15. Let h = 863/7 + -123. Sort -0.4, h, v, 0.2 in descending order. h, 0.2, v, -0.4 Let y be (-6)/4*2/3. Suppose 3*p - 14556*d + 7 = -14557*d, 0 = 3*d + 21. Sort p, -5, y, -3 in decreasing order. p, y, -3, -5 Let d = 0.04 - 130.04. Let f = 131 + d. Sort -5, 6, f. -5, f, 6 Suppose 4*b = -13*b + 68. Let h be (6/(-18))/((-2)/b). Sort h, 2, 4/3, -7. -7, h, 4/3, 2 Let l = -1138 + 1142. Let a = 1.93 + -2. Put 0, 3, l, a in descending order. l, 3, 0, a Let j = -12176.6 + 12177. Put j, -4, -0.04801 in increasing order. -4, -0.04801, j Let g be -2*((-15)/6 - 2/(-4)). Suppose -5*u = -3*u + g. Let s be 3/12 + (-42)/8. Sort s, -1, u. s, u, -1 Let g = 1.1 - 1. Let k = 1074 - 1073.61. Sort k, g, -0.2, 3/2. -0.2, g, k, 3/2 Let v = -133 + 531/4. Let w = -0.367 - -0.267. Let h be (-9)/(-30)*(-25)/(-30). Sort 0.3, h, v, w. v, w, h, 0.3 Let q = 0.04 - 0.44. Let z = -441864/7 - -63249. Let m = z + -126. Sort m, -5, q in increasing order. -5, m, q Let c = 2.798 - 4.988. Sort c, 1/6, -0.1, 0.5. c, -0.1, 1/6, 0.5 Let f = 110 - 110. Suppose -y = -2*x + 7, -y + 4*x + 3 - 12 = f. Let s = 4 - 0. Sort -3, y, s in decreasing order. s, -3, y Suppose -2*r - 7 = -3*c - 16, -4*c = 3*r - 22. Let m = 17 - 22. Let b = 10 + -7. Put m, c, b, 2 in increasing order. m, c, 2, b Let h be (-13224)/(-190) + 6/(-10). Suppose m + h = 65. Suppose 0 = 2*w + 8 + 2. Put w, -3, m in increasing order. w, m, -3 Let h(p) = 2*p**2 - 11*p + 7. Let g be h(5). Let n = 13 + -10. Suppose 0*t - n*t + 51 = 0. Put t, -4, g in ascending order. -4, g, t Let s = -3.9142 + -1.0858. Let y(q) = q**2 + 6*q - 3. Let u be y(-7). Sort u, -3/5, s, 1. s, -3/5, 1, u Let n(x) = -18*x**2 - 244*x + 130. Let h be n(-14). Put h, 8, -1, 3 in ascending order. -1, 3, 8, h Let a be 3 + (14 - 4) + -15. Suppose -4*p + p = 0. Suppose p*m + 3*m + 12 = 0. Put m, -5, a in increasing order. -5, m, a Let x = 82 - -103. Suppose -32*d - 57 = -x. Sort 3, -2, d, 5 in decreasing order. 5, d, 3, -2 Suppose -46447 = 218*d + 10030 - 3067. Put -9, d, -5, -2 in descending order. -2, -5, -9, d Let o(k) = 5594*k - 27966. Let a be o(5). Let n be (-2)/8 + 2/8. Sort n, a, -2 in descending order. a, n, -2 Suppose -2*y = 3*s + 2*y - 11, -s + 10 = -5*y. Let b = 7011 + -7010.5. Sort s, -4, b in ascending order. -4, b, s Suppose 5*w = 0, v + w = -0*w + 78. Suppose -y - y = -v. Let m = y + -38. Sort m, -5, 0, -2. -5, -2, 0, m Suppose -5*j + b = 6*b - 5, 5*b - 35 = 5*j. Let y = -1117 + 1118. Sort -1, j, 9, y in decreasing order. 9, y, -1, j Let s = -134 - -136. Suppose 6*q - s*f = 9*q - 12, 0 = -3*q + 2*f. Put 6, -1, q in ascending order. -1, q, 6 Let w = -66.8 - -282.7. Let g = w - 216. Sort -0.03, -0.5, g, 0 in decreasing order. 0, -0.03, g, -0.5 Let j = 28 + 17. Let p = 38 - j. Let y be 4/p - (4 + 138/(-21)). Sort 7, -3, y in descending order. 7, y, -3 Let a = 66.1 + -71.1. Let i = -0.01 - -0.02. Suppose -3*t + 0*t + 3 = 0. Sort a, 1/2, t, i in decreasing order. t, 1/2, i, a Let g be (-18)/(-63)*1*-2 - 852/(-21). Sort g, 5, -16, 0 in descending order. g, 5, 0, -16 Let x = -24856.4 - -24856. Put -0.01, 0.01, x, -0.5, -2 in descending order. 0.01, -0.01, x, -0.5, -2 Let l = 1.23 - -0.5. Let b = l - 6.73. Let w = -21 + 21.13. Put -0.2, 1, w, b in descending order. 1, w, -0.2, b Let p = 7663.3 - 7663. Let z = -4/11 - -5/44. Let f = 0 + -0.3. Sort z, f, p in decreasing order. p, z, f Let g = -19 + 13. Let w(q) = q**2 + 4*q - 8. Let f be w(g). Suppose 3*b = d - 17, -485 + 482 = 3*b - 3*d. Put b, f, 2 in ascending order. b, 2, f Let o(l) = 7*l**2 - 119*l - 130. Let i be o(18). Suppose -3*t = j - 13, 5*t - 2*j - 9 = 4*t. Let g be (-2)/(-5)*(11 + -1). Sort 0, i, t, g. i, 0, g, t Let b be (-1)/3*(-11604)/1880. Let x be 2 - (1476/40)/(-9) - (-1 + 5). Let y = b - x. Put 3, -0.1, y in decreasing order. 3, y, -0.1 Let a = -1.109 - -0.109. Let q = -0.1 - -0.2. Let h = -0.7 + 4.7. Sort a, q, h in decreasing order. h, q, a Let w be (-8)/(-12) - 14/3. Let s(g) = -2*g - 28. Let j be s(-16). Suppose 2*p - j*f = -3*p - 5, f - 8 = -p. Sort 5, w, p, 1 in increasing order. w, 1, p, 5 Let b = -1.5 + 1. Let w = 45791 + -45788. Sort -4, -3/4, b, w in descending order. w, b, -3/4, -4 Let w = -4 - -7. Let q(r) = -57*r**2 + 2224*r - 34. Let c be q(39). Let p = -34 + 33.9. Sort 1/5, p, w, c in ascending order. p, 1/5, w, c Let c(m) = m**2 - 94*m + 1484. Let z be c(20). Sort z, -3, 3, -84. -84, -3, 3, z Suppose 24*l = -24*l - 48. Sort l, 1, -2, -4, -23 in increasing order. -23, -4, -2, l, 1 Suppose 4*n - 15 = -n. Let t(w) = -w - 2. Let f be t(-4). Let x = -1060 - -1060. Put n, -4, f, x in decreasing order. n, f, x, -4 Let a(u) = -3*u**3 - 8*u**2 - 68*u + 75. Let z be a(1). Sort z, 3, 5, -2, -5 in decreasing order. 5, 3, -2, z, -5 Let l(s) = 2*s - 30. Let v be l(16). Let m be (26 - 21)*v/10. Sort -2/3, m, -8, -0.5 in decreasing order. m, -0.5, -2/3, -8 Let i = 4.853 - 4.353. Let y = -0.2 + 0.6. Sort i, 6, y in descending order. 6, i, y Let w be (-9)/5 - ((-708)/60 - -12). Suppose 100 = 3*g + 2*g. Sort g, w, 3,
{ "pile_set_name": "DM Mathematics" }
5 Suppose -3*w + 2*s + 10 = -19, 41 = 5*w + 4*s. Suppose 16*a = 41 - w. Solve a*v = v + 4*b - 20, -3*b + 12 = 0 for v. -4 Let y = -10432 - -10432. Solve y = -2*k + 2, -k = -4*b + 3 for b. 1 Let v(p) = -36*p - 142. Let x be ((-4)/(-4))/(((-42)/(-24))/(-7)). Let l be v(x). Solve 2*w + 11 = -l*y + 5*w, -14 = 4*y + 2*w for y. -4 Let g be -1*(5 + -6)*(1 + 4). Solve -v + 2*v - 22 = -g*z, -5*z - 3*v = -26 for z. 4 Suppose 0 = x + 3*g - 8, 5*x + 0*g = -g - 30. Let s(c) = c**3 + 9*c**2 + 10*c - 28. Let u be s(x). Solve u = 2*b + 3*w + 7, 5*b + 23 = -0*b - 2*w for b. -5 Let w = -423 + 425. Solve -x + 3*x - 2 = -3*n, -26 = -4*n + w*x for n. 4 Suppose a = 34 + 60. Let n = a - 91. Suppose 0 = 10*z - n*z - 140. Solve 2*c + 3*c = 5*p - z, 0 = 4*p + 2*c + 8 for p. 0 Suppose -427*y + 1136 - 348 = -33*y. Solve 24 = -y*n + 32, 0 = -5*v + 2*n - 18 for v. -2 Suppose 5*v - 2 = 4*o + 2, -4*v - 3*o + 28 = 0. Let n be (168/(-32) + 0)/(((-15)/(-12))/(-5)). Solve 3*i + n = 2*i + 4*w, -v*i = 2*w - 6 for i. -1 Suppose 4*u + 20 = 0, 84*u = 3*j + 79*u - 40. Suppose 4*w = -2 + 14. Let p be ((-9)/(-6))/w*2. Solve -2*d + 19 = -4*d - j*h, -2*h - p = 3*d for d. 3 Suppose 43*b + 43*b - 41*b = 0. Solve -s + 88*y - 84*y - 25 = b, 5*s - 5*y + 50 = 0 for s. -5 Let f be 14/(-8) + (-294)/3528*27*-3. Suppose 0 = -6*w + w + 5. Solve 3*k + f = 6*k - 5*v, 3*k - 4*v - w = 0 for k. -5 Suppose -2*i - 2*a + 6 = 3*i, -4*i = 3*a - 2. Suppose 9*x - 6*x = -i*b + 7, -2*b = 5*x - 17. Solve -3*h - 2*h + 12 = -r, x*h - 5*r = 0 for h. 3 Suppose -52*h + 51*h = 2*y - 16, -3*h - 4*y + 38 = 0. Solve 2*l - 8 = 0, 16*x + h = 14*x + 2*l for x. 1 Suppose -89*w + 84*w = -10. Suppose 2 = 4*y + a + a, -w*y - 2*a = -2. Solve 2*i + y*i - 5*f + 1 = 0, 4*f + 4 = 0 for i. -3 Let x = -1198 + 1200. Solve -6*w + 4*w - 2 = x*n, 0 = -n + 1 for w. -2 Let m = -101 - -116. Suppose 57*t + m = 60*t. Solve 20 = -4*a - 5*r - t, r = 5*a + 24 for a. -5 Let a = 3616 + -3610. Solve 0 = g - q + a, 2*g - q = -2 - 5 for g. -1 Let s = -62 - -65. Suppose -6 = 2*m + j + s*j, -3 = -4*m - 3*j. Solve 3*c = -4*z - 0*z - 18, m*z = -4*c - 17 for z. -3 Let c = 25071 + -25069. Solve 2*s + 3*v = 5 + 4, 2*v - 6 = c*s for s. 0 Let v = -3575 + 3580. Solve -v = -2*y - 0*u + 3*u, 3*u = 3*y for y. -5 Let z = -7066 - -7090. Solve 0 = -4*s - z, 4*p = -0*p - s + 10 for p. 4 Let q = -82 - -96. Suppose 0 = -3*t + 5*p - q, t + 4*t + 4*p - 26 = 0. Solve v = -t*w - 1 + 2, -4 = v - 3*w for v. -1 Suppose -4*k + 1 = -3. Let c(g) = -12*g - 44. Let a be c(-6). Let i = a + -25. Solve 4*l = 5*d + 11, 12 = -i*d + 4*l - k for d. 1 Let u = 13246 - 13246. Solve 5*r + 2*o + 2 = 24, -3*r - 4*o + 16 = u for r. 4 Let a(w) = w**2 - 8*w + 11*w - 4 + 0 - 10*w. Let d(p) = p + 5. Let b be d(3). Let f be a(b). Solve -3*m = x + f, 4*x - 4*m - 1 = 15 for x. 2 Let t = -54 - -125. Let w = 96 - t. Solve -o - 21 = 4*c, 3*c - w = 7*c + 5*o for c. -5 Let u(k) = k**3 - 6*k**2 + 5. Let t be u(6). Suppose -6*x - 2 - 4 = 0. Let q(n) = 41*n + 46. Let i be q(x). Solve -5*d + i*l + 45 = 0, -t*d - l - l = -17 for d. 5 Let a(w) = 154*w - 4913. Let s be a(32). Solve 4*q = 3 + 13, d = 4*q - s for d. 1 Suppose 24 = 3*g - 9*b, 103 - 101 = -2*g - 3*b. Let z be (4/(-10))/((-2)/10). Solve g*q - z*c = -3*q + 29, -4*c - 3 = q for q. 5 Let m(a) be the second derivative of 19/2*a**2 + 1/12*a**4 - 17/6*a**3 + 0 + 19*a. Let t be m(16). Solve z = 4*o - 12, -o - 5*z = -0*o - t for o. 3 Let v(h) = -h - 87. Let f(d) = -2*d + 1. Let r(z) = 2*f(z) - v(z). Let y be r(28). Solve 0 = 2*w + 5*b - y, 3*b = -2*w - 0*b + 3 for w. 0 Let i(u) = 3*u**2 + 8*u - 15. Let f be i(-8). Let g = f - 109. Solve 2*m - 3*m - l - g = 0, -3*l = 4*m + 16 for m. -4 Suppose -55*m = -106 - 4. Solve -3*k + 12 = 3*j, -6*k - m*j = -2*k - 8 for k. 0 Let g(j) = j**3 + 111*j**2 + 331*j + 763. Let q be g(-108). Solve -3*n + 1 = 4*x - 18, 3*n = -x + q for n. 1 Let s be (-6)/(-45) + (-31 - (-3228)/90). Solve -16 = -4*f - p, 2*f + 40 = s*p + 48 for f. 4 Let d = -142434 + 142436. Let f(w) = 4*w + 1. Let n be f(1). Solve -4*l + 8 = 3*s - n*s, -2*s - 2 = d*l for s. -2 Let b be 832/72 - 20/(-45). Suppose 10*g + 10 = b*g. Solve -r = -v + 1, -g*v = -4*v - 2*r - 1 for v. 1 Let j be ((-8 + 134)/(-9))/(24 + -26). Solve -4*q - 8 = 4*a, 4*a + j = -5*q - 6 for q. -5 Let l(u) = -u**3 + 2*u**2 + 2*u - 5. Let a be l(3). Let t(w) = 4*w + 34. Let b be t(a). Solve p + 24 = -5*k, -4*k = b*p + 3*p + 36 for p. -4 Let i(c) = -c**2 + 4*c + 4. Let d be i(4). Let h = -7 - d. Let j = -6 - h. Solve 9 = j*t - 2*n - 10, -2*n - 4 = 0 for t. 3 Let n(f) = -f**2 - 15*f - 11. Suppose 4*t - q + 59 = 0, 4*t - 2*t - q + 31 = 0. Let l be n(t). Solve 2*p + l*p - a = -18, 3*p + 8 = 2*a for p. -4 Suppose -14 = 11*t - 322. Suppose 9*x = 13*x - t. Suppose x*v + 9 = 16. Solve -4*n = y - 10, -2*n - v + 13 = -3*y for y. -2 Let b = 172 + -172. Let t be (24/(-1))/(-6) - b. Solve -2*y - 10 = o, 4 = 2*o - t*y - 8 for o. -2 Let v(q) = -q**2 - 20*q - 21. Let o be v(-15). Let u = o + -89. Let l be 1/((-5)/(-2)) - 91/u. Solve -5*t + l*f = -10 - 6, 4*t - 32 = -4*f for t. 5 Let t be 92/15 + (-16)/120. Solve 0 = 2*i + 3*x - 18, -3*i + t = 2*x - 11 for i. 3 Suppose 5*k + 208 = -122. Let v = -59 - k. Solve -4*o + 4 = 0, -4*s + v*s + 4*o - 10 = 0 for s. 2 Suppose -5*l + 292 = n + 3*n, -3*l = 5*n - 183. Let c be l/12 - 1*1/(-3). Solve h + 7 = 4*s - 0, 0 = -2*s + c*h - 19 for s. 3 Let z be -2 + (-206)/(-10) + (-58)/(-145). Solve 0 = 4*y - 20, -3*y + 12 = z*b - 22*b for b. 1 Let b be 9 - (-1)/(9 - 165/18). Solve 5*j + 18 - 4 = -b*q, 4*j + 5*q + 19 = 0 for j. -1 Suppose 0*f = 5*f - 105. Suppose 4*l = w + 13, -5*w + 8*w = -4*l + 57. Solve 2*d + w = r, 5*r - 13 - f = 3*d for r. 5 Let p(d) = d**2 + d + 2. Let o be p(4). Suppose -16*a + o*a - 96 = 0. Suppose 0 = -3*y + a*y - 39. Solve 0 = 3*z + 4*l + 13, -5*z - y*l = -4*z + 6 for z. -3 Let z(b) = -5*b**2 + 3*b + 8. Let j(s) = 7*s**2 - 2*s - 9. Let p(t) = 2*j(t) + 3*z(t). Let x be p(6). Solve -7 - 1 = -4*m - 2*l, 5*m - 4*l + 3 = x for m. 1 Let k be 11 - (-4)/18*-6*-3. Let b(m) = 3*m - 43. Let j be b(k). Suppose 2*y = -j*y + 24. Solve 11*l + t = y*l + 2, -2*t = l - 4 for l. 0 Suppose -g - 2*w = -30, -3*g - 2*w + 86 = -0*w. Let p be 312/(-15) - g/(-35). Let a = -14 - p. Solve -24 = 4*m + 4*h, 0*h - 3*h = -3*m - a for m. -4 Let c = -161909 + 161909. Suppose -11 = 5*b - 31. Suppose -4*d - 12 = 0, d + b*d = -5*i - 5. Solve -r = i*k + 3 - c, k - 6 = -2*r for r. 5 Let q be (1 + 1)/((-12)/(-468)). Suppose q = 3*w + r, 2*w + 3*r - 134 = -3*w. Suppose -4*j + w = 5. Solve f = j*b - 5, -3*f + 7 = -4*b - 0 for f. 5 Let f(n) = -20*n - 35. Let u be f(-4). Let b be u/27*(12/(-15) + 2). Solve 3*g + 8 = -b*y + y, 0 = -2*g - y - 4 for g. -4 Let h = 11077 - 11074. Solve o + 8*v - h*v = 22, -2*o = -3*v + 8 for o. 2 Let q be (120/6 - 23)/((-3)/4). Solve 0 = -s - 2, -q*f + s = -20 - 2 for f. 5 Let o(u) = -u**3 + 12*u**2 + 5*u + 106. Let z be o(13). Solve -5*c + 2*y - 35 = 0, z*c - 2*y + 20 = -0*c for c. -5 Let z = -42176 + 42178. Solve 0 = 19*f - 17*f - z*t - 2, 0 = -3*t + 3 for f. 2 Suppose 170 - 152 = 9*w. Suppose k + 2*m = -k + 10, 0 = -4*k - 3*m + 25. Suppose k = -w*g + 18. Solve -4*j = -0*z - 3*z - 11, -z = -g*j + 9 for j. 2 Let o be (-8)/(-3 + 1 + 1). Let h be 0 + 2 + 9 - (13 - 8). Suppose -4*r = 4*z - 20, 5*r - h*z = -8*z + 22. Solve r*f = -g - o, -8 - 16 = 4*f + 5*g for f. -1 Let k be (3 - (-3)/(-1))/(-5 - -4). Solve k = 5*p - 3*t + 3 - 1, 5*p - 30 = -5*t for p. 2 Let d(w) = -2*w - 36. Let h = 236 + -254. Let k be d(h). Solve i = -1, k*v = -4*v + i + 1 for v. 0 Let h = 576 - 530. Suppose 0 = -10*a + h*a - 72. Solve 0*d - 4*m + 4 = -3*d, 4*d = -a*m + 2 for d. 0 Let s = -669 + 677. Solve q + 5*v = s - 19, -5*q + 1 = -3*v for q. -1 Let v(h) = 33*h**2 + 11*h - 18. Let q be v(1). Solve -3*b - 28*a = -q*a - 6, 9 = 3*b + 3*a for b. 0 Suppose -5*u = 2*q - 1 - 34, 0 = -3*u - 5*q + 40. Suppose u*c + 2 = 3*a, 1 = c - 1. Solve -4*s = a*h, 3*s + 0*s = 3*h + 30 for h. -5 Let g(o) = -2*o**2 + 13*o + 27. Let u be g(8). Suppose 4*q - u*z - 82 = 0, 3*q = -z + 41 + 14. Solve 0 = 3*a - 6*a - 9, a + q = -4*j for j. -4 Let i(t) be the second derivative of 7*t**4/12 + 2*t**3/3 + t**2 - 35*t. Let b be i(-1). Solve -2*z - 17 = -b*x, -3*z + x + 0 = -7 for z. 4 Let u(p) = 6*p**3 - 103*p**2 + 16*p + 22. Let x
{ "pile_set_name": "DM Mathematics" }
llu. Give prob of sequence lj. 5/182 Three letters picked without replacement from gcfivrc. What is prob of sequence fcv? 1/105 What is prob of sequence qqqc when four letters picked without replacement from qqochc? 0 Four letters picked without replacement from zvkmvyz. What is prob of sequence zzvy? 1/210 Two letters picked without replacement from {c: 1, r: 4, w: 4, g: 2}. What is prob of sequence wg? 4/55 Calculate prob of sequence ee when two letters picked without replacement from nxeex. 1/10 Calculate prob of sequence ed when two letters picked without replacement from dedddeeddedddeeedee. 5/19 What is prob of sequence flf when three letters picked without replacement from {f: 4, v: 1, l: 2}? 4/35 What is prob of sequence yy when two letters picked without replacement from yoyyoppyypyyo? 7/26 Three letters picked without replacement from scqssccqqscqqcccq. What is prob of sequence cqc? 21/340 What is prob of sequence uju when three letters picked without replacement from {j: 2, u: 3, e: 2, g: 9}? 1/280 What is prob of sequence uu when two letters picked without replacement from uuduj? 3/10 What is prob of sequence kik when three letters picked without replacement from hekvvaiikiva? 1/220 What is prob of sequence gkm when three letters picked without replacement from {g: 1, b: 6, r: 6, k: 1, m: 1}? 1/2730 What is prob of sequence wf when two letters picked without replacement from {w: 1, f: 11}? 1/12 What is prob of sequence zzaa when four letters picked without replacement from {z: 5, a: 8, f: 5}? 7/459 What is prob of sequence zuuo when four letters picked without replacement from {z: 1, u: 16, o: 3}? 2/323 Calculate prob of sequence nier when four letters picked without replacement from perhihen. 1/840 Calculate prob of sequence dmud when four letters picked without replacement from mdummmmmmmdmmmumd. 3/1190 Four letters picked without replacement from tttqtbbqtqftttffftt. Give prob of sequence qbqb. 1/7752 Two letters picked without replacement from hqhhhhqvvhqahhhvah. What is prob of sequence vh? 5/51 Four letters picked without replacement from lmlmlllmlll. What is prob of sequence lmlm? 7/165 Calculate prob of sequence gr when two letters picked without replacement from gggghgrghhhzgqg. 4/105 Two letters picked without replacement from {f: 3, g: 1, n: 1, l: 3, u: 2}. What is prob of sequence un? 1/45 Two letters picked without replacement from aaaaacacaaaccc. Give prob of sequence ca. 45/182 Two letters picked without replacement from {f: 1, j: 2, r: 1, w: 9}. Give prob of sequence jr. 1/78 Three letters picked without replacement from kyy. What is prob of sequence yyk? 1/3 What is prob of sequence wv when two letters picked without replacement from {g: 1, e: 1, v: 1, w: 1, q: 1}? 1/20 Calculate prob of sequence hz when two letters picked without replacement from zhzhwwww. 1/14 Calculate prob of sequence iko when three letters picked without replacement from {n: 2, e: 8, i: 1, o: 2, s: 4, k: 2}. 2/2907 Calculate prob of sequence wzlq when four letters picked without replacement from {l: 1, z: 2, e: 3, q: 3, w: 1}. 1/840 What is prob of sequence gdg when three letters picked without replacement from gdddgdggddggd? 35/286 Calculate prob of sequence ppjp when four letters picked without replacement from pjppjppjjjjppjjjjpjp. 77/1615 Calculate prob of sequence dd when two letters picked without replacement from edddddddddddeddddd. 40/51 Two letters picked without replacement from nlnlntntntnnntt. What is prob of sequence tt? 2/21 Calculate prob of sequence wgkg when four letters picked without replacement from qgqggkqwggq. 1/396 What is prob of sequence ddi when three letters picked without replacement from xddinx? 1/60 Three letters picked without replacement from bbbb. What is prob of sequence bbb? 1 Calculate prob of sequence xnt when three letters picked without replacement from {x: 1, j: 1, v: 1, r: 2, n: 1, t: 1}. 1/210 Four letters picked without replacement from rrrrrrxzxr. What is prob of sequence rrxx? 1/60 What is prob of sequence zd when two letters picked without replacement from ghzdf? 1/20 Calculate prob of sequence awaa when four letters picked without replacement from {w: 5, a: 15}. 455/3876 Calculate prob of sequence hhsh when four letters picked without replacement from {a: 3, h: 6, s: 4}. 4/143 What is prob of sequence bb when two letters picked without replacement from nbnnbnnnnnbbnnbbnn? 5/51 Three letters picked without replacement from {n: 4}. Give prob of sequence nnn. 1 What is prob of sequence gnfg when four letters picked without replacement from {n: 5, x: 3, g: 9, f: 1}? 1/204 Four letters picked without replacement from vbahba. Give prob of sequence avha. 1/180 Two letters picked without replacement from gobvbbbbgbgk. Give prob of sequence vb. 1/22 Three letters picked without replacement from kkqkqkq. Give prob of sequence qqq. 1/35 Two letters picked without replacement from tmxtttmmtx. Give prob of sequence mm. 1/15 Calculate prob of sequence bk when two letters picked without replacement from {b: 5, k: 9}. 45/182 Calculate prob of sequence zzaz when four letters picked without replacement from {z: 6, e: 7, a: 4}. 1/119 What is prob of sequence hd when two letters picked without replacement from {h: 4, a: 8, d: 4}? 1/15 Two letters picked without replacement from {f: 1, k: 2, z: 2, c: 1, d: 2}. What is prob of sequence fd? 1/28 Two letters picked without replacement from {t: 1, v: 1, z: 2, e: 1, m: 1, r: 1}. Give prob of sequence me. 1/42 Three letters picked without replacement from {q: 4, s: 4, r: 3}. Give prob of sequence qsr. 8/165 Three letters picked without replacement from ubbubvbub. What is prob of sequence uub? 5/84 Two letters picked without replacement from uuunannnuguguu. Give prob of sequence ug. 1/13 Three letters picked without replacement from ubbbbbeuubbee. Give prob of sequence ebb. 21/286 Three letters picked without replacement from {b: 4, f: 2, s: 1}. What is prob of sequence bfs? 4/105 Four letters picked without replacement from {t: 8, n: 5, d: 3}. What is prob of sequence dnnt? 1/91 What is prob of sequence pmr when three letters picked without replacement from mrppp? 1/20 Three letters picked without replacement from {w: 7}. Give prob of sequence www. 1 Three letters picked without replacement from {j: 3, r: 1}. Give prob of sequence jrj. 1/4 Four letters picked without replacement from {o: 10, u: 2, h: 2, s: 3, q: 2}. What is prob of sequence hqsh? 1/7752 Calculate prob of sequence fdpn when four letters picked without replacement from {d: 1, t: 2, n: 1, f: 2, p: 1}. 1/420 Three letters picked without replacement from {w: 2, g: 4, l: 1, s: 8, i: 4}. What is prob of sequence gsw? 32/2907 Three letters picked without replacement from {e: 3, a: 5}. What is prob of sequence aae? 5/28 What is prob of sequence rbs when three letters picked without replacement from {s: 2, b: 7, r: 4, d: 1, c: 3, j: 1}? 7/612 What is prob of sequence gge when three letters picked without replacement from {g: 2, e: 3}? 1/10 Three letters picked without replacement from myme. What is prob of sequence mmy? 1/12 What is prob of sequence wh when two letters picked without replacement from {h: 5, l: 3, v: 8, w: 1, p: 2}? 5/342 Three letters picked without replacement from qqqqqdqqqqqqdqdqdqq. What is prob of sequence ddq? 10/323 Two letters picked without replacement from llxnnmnlnennen. What is prob of sequence xl? 3/182 What is prob of sequence fyrr when four letters picked without replacement from {y: 8, r: 2, f: 4, n: 1}? 8/4095 What is prob of sequence ez when two letters picked without replacement from elehhephzhlp? 1/44 Two letters picked without replacement from otthhthattwuh. What is prob of sequence hh? 1/13 Three letters picked without replacement from {h: 1, f: 11, a: 2}. What is prob of sequence ffa? 55/546 Calculate prob of sequence mmm when three letters picked without replacement from {m: 9}. 1 Four letters picked without replacement from {n: 9, b: 5, x: 2}. Give prob of sequence bbbn. 9/728 Four letters picked without replacement from {m: 10, p: 1, j: 9}. What is prob of sequence jjmm? 18/323 Two letters picked without replacement from vbysqqvqeqeqqqq. What is prob of sequence bq? 4/1
{ "pile_set_name": "DM Mathematics" }
4 Let n(l) = -8*l + 7*l - 10*l. Let h(p) = p**2. Determine h(n(r)). 121*r**2 Let f(p) = 0*p + p - 3*p. Let b(r) = -r**2 - 5*r. Let z(k) = 2*b(k) - 5*f(k). Let v(t) = 5*t**2. Give v(z(h)). 20*h**4 Let b(r) = -18316*r**2. Let j(f) = f. Determine j(b(n)). -18316*n**2 Let h(p) be the second derivative of p**4/12 - 4*p. Let n(d) = 4*d. Calculate h(n(i)). 16*i**2 Let q(g) = 542*g. Let n(p) = -54*p. Calculate n(q(y)). -29268*y Let t = -15 + 17. Let r(n) = 26 - n**t - 3*n**2 - 26. Let a(d) = -2*d**2. Determine r(a(i)). -16*i**4 Let g(h) = -2*h**2 + 0*h**2 + 4*h**2. Let n(m) = -42*m**2 + 24*m**2 + 21*m**2. Calculate g(n(i)). 18*i**4 Let d(v) = -2*v + 2*v**2 + 2*v - 5*v**2. Let h(i) = -8*i. Give d(h(l)). -192*l**2 Let l(x) = -18*x**2. Let u(k) = k. Calculate l(u(n)). -18*n**2 Let h(j) = 7*j**2 - j - 3*j**2 + j. Let f(u) = 12*u**2. Determine h(f(d)). 576*d**4 Let u(o) = -2*o**2. Let p(h) = -900*h. What is p(u(f))? 1800*f**2 Let m(j) = -4*j**2 + 3*j**2 - j**2. Let s(u) be the first derivative of -u**3 + 1. Give s(m(d)). -12*d**4 Let b(r) = -2*r**2. Let k(g) = -281*g. Determine b(k(s)). -157922*s**2 Let h(s) = 7*s. Let r(d) = 3*d**2 - 6*d. Let t(n) = 9*n**2 - 17*n. Let g(l) = 17*r(l) - 6*t(l). Calculate h(g(b)). -21*b**2 Let y(r) = 8*r. Let i(n) be the first derivative of -3*n**2/2 - 33. Give y(i(d)). -24*d Let h(c) be the second derivative of c**3/6 - c. Let v(z) = z**2 - 7*z + 8. Let k be v(6). Let u(r) = 1 + 2*r**2 - 7*r**k - 1. Give h(u(d)). -5*d**2 Let m(s) be the first derivative of s**4/6 + 2*s + 3. Let a(o) be the first derivative of m(o). Let x(j) = j. Determine x(a(v)). 2*v**2 Let c(b) = -15*b**2 - 4*b - 4. Let r(z) = 60*z**2 + 15*z + 15. Let x(v) = -15*c(v) - 4*r(v). Let f(u) = -u. What is f(x(k))? 15*k**2 Let a(z) = -150*z**2. Let i(q) = -7*q**2. Calculate a(i(h)). -7350*h**4 Let a(v) = 30*v. Let j(k) be the second derivative of -k**4/6 - 15*k. Give j(a(s)). -1800*s**2 Let n(o) = 4*o + 4. Let r(c) = 3*c + 3. Let u(f) = -f**2 + f + 1. Let q(v) = -r(v) + 3*u(v). Give q(n(i)). -48*i**2 - 96*i - 48 Let k(i) = -3*i. Let y(j) = 5*j**2 + 3. Give k(y(u)). -15*u**2 - 9 Let t(b) = 3*b**2. Let q(v) = 159*v. Calculate q(t(s)). 477*s**2 Let y(s) = s. Let o(h) = -107*h. Determine y(o(v)). -107*v Let u = -29 - -29. Let m(t) be the first derivative of 1/2*t**2 + u*t - 1. Let c(s) = 2*s. What is c(m(d))? 2*d Let h(g) = -3*g - 4. Let r(i) = 15*i + 21. Let a(b) = -21*h(b) - 4*r(b). Let q(f) = -13 - 8 + 21 + 2*f**2. Give a(q(w)). 6*w**2 Let u(r) = -4654 + 2*r + 4654. Let x(d) be the second derivative of -d**3/6 - 2*d. Give u(x(k)). -2*k Let n(w) = -4*w + 5. Suppose f + 9 = 2*o, -4*f + 7*f = -5*o + 6. Let p(x) = -2*x + 3. Let j(g) = o*n(g) - 5*p(g). Let a(i) = -i - 3*i + 5*i. Calculate a(j(t)). -2*t Let u(z) = 3*z. Let t(m) be the first derivative of m**3 - 7. Calculate t(u(a)). 27*a**2 Let o(w) = -28*w. Let f(v) = -8*v**2 + 3*v**2 + 7*v**2. Give o(f(a)). -56*a**2 Let w(q) = q. Let b(z) be the first derivative of -z**3 - 19. Give w(b(d)). -3*d**2 Let d(s) be the second derivative of s**4/12 - 18*s. Let b(f) = f**2 + 25. Determine d(b(h)). h**4 + 50*h**2 + 625 Suppose -12*t = -6*t - 30. Let g(c) = -t*c + 17*c - 4*c. Let s(u) = 2*u. Give g(s(m)). 16*m Let x(r) = r. Let n(l) = l**2 - 1. Let z be n(1). Let m(t) = 0*t + z*t - 2*t. Determine m(x(h)). -2*h Let n(v) = -37*v. Let i(h) = -2*h - 1. Let s(w) = 2*w**2 + 12*w + 6. Let q(d) = -6*i(d) - s(d). What is q(n(f))? -2738*f**2 Let g(c) = -2*c**2 + 3*c. Let j be (-2)/5 + 34/10. Let k(t) = 2*t**2 - 4*t. Let s(p) = j*k(p) + 4*g(p). Let h(q) = 2*q**2. Determine h(s(z)). 8*z**4 Let u(i) = -175*i. Let d(a) = -9*a. What is u(d(s))? 1575*s Let k(x) = -52*x. Let b(t) = -6*t. Calculate b(k(f)). 312*f Let w(i) = i + 147. Let j(h) = h. Determine w(j(k)). k + 147 Let m(j) = -196*j**2 - j. Let o(b) = b - 2. Determine o(m(x)). -196*x**2 - x - 2 Suppose 2 = 5*i - 18. Let n(o) = 0 + i*o**2 + 0 + 0*o**2. Let f(x) = 2*x. Give f(n(k)). 8*k**2 Let n(f) = -f - 2. Let k be n(4). Let v(t) = -t + 7. Let j(l) = l - 6. Let b(s) = k*v(s) - 7*j(s). Let o(i) = -i**2 - i**2 + 0*i**2. What is o(b(p))? -2*p**2 Let h(v) = -v**2 - 4*v - 4. Let s(p) = -p**2 - 5*p - 5. Let n(r) = -5*h(r) + 4*s(r). Let t(d) = 10*d**2. Determine n(t(l)). 100*l**4 Let u(p) = p**2. Let x(b) be the first derivative of 3 + 0*b**3 + 0*b - 1/8*b**4 + 3/2*b**2. Let w(t) be the second derivative of x(t). Give u(w(s)). 9*s**2 Let i(s) = -s. Let k(o) = -10891*o**2. What is k(i(a))? -10891*a**2 Let m(a) = 1038*a**2 - a. Let d(h) = -h. Give d(m(o)). -1038*o**2 + o Let w(h) = -2*h**2. Let t(p) be the second derivative of -3*p**3/2 - 9*p. What is w(t(d))? -162*d**2 Let y(k) = k**2. Let r(m) = 36 - 37 + 5*m - 6*m. Let n(u) = -6*u - 4. Let x(s) = n(s) - 4*r(s). Determine y(x(j)). 4*j**2 Let m(k) = 3*k + 4. Let n(v) = -9*v - 11. Let y(g) = 11*m(g) + 4*n(g). Let b(p) = -8 + 2*p + 8. Calculate y(b(o)). -6*o Let u(h) = -8*h. Let i(g) = 68*g**2. Calculate u(i(d)). -544*d**2 Let p(b) = -12*b. Let l(o) = -9*o**2. Calculate l(p(f)). -1296*f**2 Let d(w) = -3*w**2. Let p(h) be the second derivative of 2*h - 1/3*h**3 + 0 + 0*h**2. Determine p(d(j)). 6*j**2 Let n(w) be the second derivative of -w**3 - 5*w. Let m(r) = -3*r**2. Calculate m(n(l)). -108*l**2 Let x(b) = -b**2. Let d(p) = 2420*p**2. Give x(d(r)). -5856400*r**4 Let w(g) = 2*g. Let p = 511/6 - 85. Let m(f) be the second derivative of -3*f + 0 - p*f**3 + 0*f**2. Determine m(w(x)). -2*x Let v(m) = m. Let n(t) = -180*t. Give v(n(f)). -180*f Let v(a) = 7*a**3 + a**2 - a. Let d be v(1). Let k(u) = 8*u - d*u + 6*u - 2*u. Let p(r) = -r. What is p(k(h))? -5*h Let m(d) = 2*d + 7. Let h(g) = g + 1. Let r(c) = -14*h(c) + 2*m(c). Let p(t) = -t. Determine r(p(i)). 10*i Let n(t) = -3*t**2. Let a(x) = 82*x. What is a(n(l))? -246*l**2 Let o(d) be the third derivative of -d**4/24 + 2*d**2. Let j(s) = -2*s**2 + 2*s - 2. Let u(y) = -y**2 + 3*y - 3. Let n(p) = -3*j(p) + 2*u(p). Give o(n(w)). -4*w**2 Let q(h) = h. Let m(p) be the third derivative of p**4/12 - 5*p**2. What is q(m(d))? 2*d Let z(k) = -15*k**2. Let q(v) = -32*v**2 + 2. What is q(z(y))? -7200*y**4 + 2 Let x(f) be the second derivative of -f**3/3 - 7*f. Let i(s) = 4 - 5 + 2. Let j(y) = y + 1. Let n(v) = -3*i(v) + 3*j(v). Calculate n(x(w)). -6*w Suppose -2*u - 3*l = -u, 4*u = 2*l. Suppose 2*j = -u*j. Let h(z) = j*z**2 - 3*z**2 - z**2. Let o(b) = -2*b. Give h(o(f)). -16*f**2 Let t(u) = -3*u**2 - 7*u**2 - 10*u - 9 + 0*u**2 + u. Let i(d) = d**2 + d + 1. Let b(p) = 18*i(p) + 2*t(p). Let l(w) = -10*w. Give l(b(c)). 20*c**2 Let z(y) = -y. Let f(a) be the first derivative of 8*a**2 - 5. What is z(f(w))? -16*w Let n(j) = -2*j**2 + 152*j. Let w(h) = -h**2. Calculate n(w(g)). -2*g**4 - 152*g**2 Let o be (-8)/(-6) + (-2)/(-3). Let c(p) = 0*p**2 - p**o + 0*p**2. Let r(w) = -w**2. Calculate r(c(y)). -y**4 Let v(r) = 361*r + 1. Let a(z) = -17*z**2. What is v(a(f))? -6137*f**2 + 1 Let f(l) = 2*l**2. Let d(i) = i - 2*i - 2127 + 2090. Give d(f(g)). -2*g**2 - 37 Let s(x) = -x**2. Suppose 0*i + 8 = 4*i. Let a(q) = i + 2 - 5. Let y(h) = -2*h**2 - 4. Let m(v) = 4*a(v) - y(v). Give m(s(d)). 2*d**4 Let y(k) = -3*k**2. Let f(d) be the second derivative of 7*d**3/6 - 5*d. Give f(y(i)). -21*i**2 Let f(d) = -3*d + 1. Let x(r) = -8*r + 2. Let p(s) = 2*f(s) - x(s). Let y(v) = 6*v**2 - 5*v**2 + 6*v**2. Calculate p(y(c)). 14*c**2 Let w(z) be the first derivative of -7*z**3/6 + 6*z + 2. Let v(a) be the first derivative of w(a). Let b(d) = 2*d. Calculate b(v(k)). -14*k Let f(a) = 2*a. Let i(n) = -5*n**2 - 2*n**2 - 2*n**2. Calculate i(f(r)). -36*r**2 Suppose 3*i - 4*l - 24 = 2*i, -l - 20 = -2*i. Let k(x) = -8 - x**2 + i. Let y(o) = 6*o - 5. Let c(f) = 7*f - 6. Let r(b) = -5*c(b) + 6*y(b). Calculate r(k(n)). -n**2 Let q(z) = -32*z. Let v(k) = -423*k**2. Give v(q(x)). -433152*x**2 Let d(t) = 2*t**2. Let n(f) = -2*f - 902. Give n(d(q)). -4*q**2 - 902 Let p = -5 + 5. Let r(q) = 9*q - 3*q + p*q + q. Let v(d) = 2*d. What is r(v(h))? 14*h Let r(j) = -2*j. Suppose 3*g - 15 = -0*k + 5*k, 2*g - 10 = 2*k. Let z(q) = -g*q + 4*q + 0*q. Calculate z(r(c)). 2*c Let v(w) = -w. Suppose -3*i = -4*i + 5. Let q(a) = i*a**2 + 4*a**2 - 2*a**2 + 4*a**2. What is q(v(z))? 11*z**2 Let k(i) = -4*i. Let j(l) = -211*l**2 - 4*l. Give j(k(n)). -3376*n**2 + 16*n Le
{ "pile_set_name": "DM Mathematics" }
2*s + 3*s - 50 = 0. What is the remainder when 38 is divided by s? 8 Suppose -4*i = -20, -5*l - i - 3*i = -80. Suppose -l + 39 = 3*x. Suppose -f - f = 5*m - 35, m = f - 28. Calculate the remainder when f is divided by x. 7 Suppose -3*p = 5*f - 7 - 11, -3*p - 3*f = -24. Calculate the remainder when 30 is divided by p. 8 Suppose 0 = -2*f + 5*w - 0*w + 83, 4*w = 5*f - 233. Calculate the remainder when f is divided by 13. 10 Let f(y) = -y**3 + 19*y**2 + 25*y - 14. What is the remainder when f(20) is divided by 29? 28 Suppose q - 1 = -0. What is the remainder when 2/6 + (-8)/(-12) is divided by q? 0 Suppose v + 1 = 3. Let x be (-14)/(-4) + (-3)/6. Suppose -x = -v*p + 1. What is the remainder when 6 is divided by p? 0 Suppose 37 = -3*w - 5*j, -4*j + 28 = -0*w - 4*w. Let b = -12 - -34. Let o = w + b. Calculate the remainder when 25 is divided by o. 12 Suppose -5*k + 4*k = 3. Let c(j) = -j**3 + j**2 + 3*j + 4. Calculate the remainder when c(k) is divided by 16. 15 Suppose b + q + 3 = -7, 2*q = 4*b + 10. Calculate the remainder when 46 is divided by 57/3 + (b - -2). 14 Let p(g) be the second derivative of -g**5/20 - g**4/4 + 4*g**3/3 + 2*g**2 - 2*g. What is the remainder when p(-5) is divided by 8? 6 Suppose -m + 2*x = 6*x - 44, x = 5*m - 178. What is the remainder when m is divided by 28? 8 Let p(l) = l**3 - 5*l**2 - 3*l - 8. Suppose -x = 0, x - 1 = -s - 0*x. What is the remainder when -4*(s + 69/(-12)) is divided by p(6)? 9 Suppose -3*m = -l + 69, 6 = 5*m - 4. Suppose -3*a + 8*a - l = 0. What is the remainder when 43 is divided by a? 13 Let o(i) = i**2 + 9*i + 5. Let k(t) = t**2 + 8*t + 5. Let x(f) = 3*k(f) - 2*o(f). What is the remainder when 23 is divided by x(-7)? 11 Let c = 252 + -433. Let u = c - -260. What is the remainder when u is divided by 27? 25 Suppose -4*t + 8 = -40. What is the remainder when 57 is divided by t? 9 Let d(g) = g**3 + 15*g**2 - g + 21. Let m be 6*(-1)/(8/20). What is the remainder when d(m) is divided by 13? 10 Suppose 10 = 2*d - 0*d - 2*m, 0 = -3*d + 5*m + 15. Suppose 4*q = 5*o - 100, 14 = -d*o + 5*q + 109. What is the remainder when o is divided by 13? 11 Suppose -z + 2 = 3*i - 33, 3*i + 47 = z. What is the remainder when z is divided by 11? 8 Let o(r) = r**3 + 5*r**2 + 4*r + 2. Let a be o(-4). Suppose a*t = 3*d + 4 - 20, -5*t + 2*d - 18 = 0. What is the remainder when (t - -4)*183/6 is divided by 21? 19 Let k = -9 - -2. Let y(i) = i**3 - 5*i**2 - i - 6. Let h be y(5). Let u = k - h. Calculate the remainder when 7 is divided by u. 3 Let u(a) = 3*a**2 - 15*a - 7. Let x(z) = -7*z**2 + 29*z + 14. Let c(l) = -5*u(l) - 2*x(l). What is the remainder when c(13) is divided by 15? 14 Let i = -5 + 23. Let l be 0 - (-2 + -1 + 1). Suppose 4*v - t = v + 105, -l*v - t + 70 = 0. Calculate the remainder when v is divided by i. 17 Suppose 3*w = 250 + 44. Suppose q - 4 = 21. What is the remainder when w is divided by q? 23 Let p be ((-122)/(-4))/(12/24). Let t = -36 + p. What is the remainder when t is divided by 7? 4 Let p = 20 + -5. What is the remainder when 58 is divided by p? 13 Let v = -282 - -397. Calculate the remainder when v is divided by 58. 57 Let r = 6 + -2. Suppose -2*b = -3*b + 2. Suppose 37 = p + r*k, 0*p = -b*p + 4*k + 38. What is the remainder when p is divided by 13? 12 Suppose 441 = -z - 2*z. Let w(i) = 21*i**2 - i + 1. Calculate the remainder when w(1) is divided by 1/2 - z/14. 10 Suppose d - 2*d + 8 = 0. Calculate the remainder when 13 is divided by d. 5 Let h(s) = 7*s**2 + s. Let l = -9 + 10. Calculate the remainder when 30 is divided by h(l). 6 What is the remainder when (2 - (-3 + 4) - -2) + 31 is divided by 12? 10 Let j be ((-3)/2)/((-6)/(-8)). Suppose -m + 2*m - 11 = 0. What is the remainder when m is divided by 4*3*j/(-4)? 5 What is the remainder when 70 is divided by ((-424)/(-16) - 4)*(-4)/(-6)? 10 Suppose 2*o = 6*o - 60. Calculate the remainder when 27 is divided by o. 12 Let u(x) = 45*x - 1. Suppose 285 + 2181 = 3*i. Calculate the remainder when u(1) is divided by i/54 - 2/9. 14 Suppose p + 39 = 2*b, -3*b - 2*p + 51 = -4. Calculate the remainder when 47 is divided by b. 9 Suppose 0 = 5*i - 5*p - 15, -2*i = i + 2*p - 34. Calculate the remainder when 23 is divided by i. 7 Suppose 2*b = -4*n + 14, 3 = n + 2*b + 1. Suppose 10 = -3*x - 2, n*r = x - 28. Let j = 22 + r. What is the remainder when 27 is divided by j? 13 Suppose 2*r - 16 - 2 = -4*v, 4*v = 2*r - 2. Suppose 0 = v*l - 6*l + 40. Calculate the remainder when l is divided by 4. 2 Let o(d) = -9*d + 1. Let c(h) = -h**3 + 6*h**2 - 5*h + 4. Calculate the remainder when o(-1) is divided by c(5). 2 Let p(q) = 5*q**3 - q**2 + 2. Let k be p(-2). Calculate the remainder when 29 is divided by (-3)/6 - k/4. 9 Let z = 49 + -31. Calculate the remainder when z is divided by 13. 5 Let o be -15*(-1 - (-6)/10). Suppose -o - 3 = -3*w. What is the remainder when 4 is divided by w? 1 Let o be 27/5 + (-2)/5. Suppose -3*s = 6 - 18, -4*s + 16 = -2*v. Suppose v = -h + 3 + o. Calculate the remainder when 15 is divided by h. 7 Let y(s) = -s**2 - 7*s - 2. Let r = -4 + 6. Suppose 20 = -0*o + r*o. Calculate the remainder when o is divided by y(-6). 2 Suppose 0*n - 120 = -2*n. Suppose 3*t = n - 18. Let k = 75 + -67. What is the remainder when t is divided by k? 6 Let i = -3 - -4. What is the remainder when (2/(-4))/(i/(-14)) is divided by 5? 2 Suppose -3 = 4*l - 7. Let n be l - ((-2 - 0) + 2). Let k = n + 1. What is the remainder when 3 is divided by k? 1 Let g(f) be the third derivative of -f**5/60 + f**4/8 + 5*f**3/6 - f**2. What is the remainder when (-20)/(-16) + (-1)/4 is divided by g(4)? 0 Let f(y) = -3*y - 35. Let i = 2 - 1. Calculate the remainder when f(-12) is divided by i. 0 Suppose -15 = 5*u, -u - 8 = -c + 48. Calculate the remainder when c is divided by 28. 25 Suppose 3*b - 6*b = 0. Suppose 5*i = -b*i, 4*k = -2*i. Suppose k = -m - 2*u - 1, 2*u = -m + u + 3. Calculate the remainder when 19 is divided by m. 5 Let o(c) be the first derivative of 2*c**2 - 2*c - 1. Let f = 6 + -4. Calculate the remainder when 11 is divided by o(f). 5 Suppose 2*l = -3*z + 83 - 24, -4*l - 3*z + 103 = 0. Let q = l + -15. What is the remainder when 24 is divided by q? 3 Let m = 47 - 27. What is the remainder when m is divided by (16/(-10))/(32/(-240))? 8 Calculate the remainder when 45 is divided by (-16)/((-5)/(-10)*-2). 13 What is the remainder when 39 is divided by ((-21)/4)/((-90)/80)*3? 11 Suppose -7*r + 160 + 36 = 0. Calculate the remainder when 55 is divided by r. 27 Let w be -7 + 8 - (0 + 1). Suppose -l + 2*o = -w*l - 10, 50 = 5*l + 4*o. What is the remainder when 29 is divided by l? 9 Suppose -5*z - 275 = -4*s, -4*s + 4*z + 8 + 268 = 0. Suppose 3*d - 32 = 40. Calculate the remainder when s is divided by d. 22 Suppose 0 = x - 4 - 0. Suppose -7*q = -3*q - 56. What is the remainder when q is divided by (-25)/(-3) + x/(-12)? 6 Suppose 16 = 2*z + 4*s, 0 = 3*z + 2*s - 7 - 1. Let j be (-2 + z)*13/2. Let x = j - -57. What is the remainder when x is divided by 15? 14 Let a = 88 - 65. What is the remainder when 41 is divided by a? 18 Let w(y) = -3*y. Let s(i) = -i**2 - 5*i - 2. Let t be s(-5). Let v be w(t). Calculate the remainder when 4 is divided by (v/(-8))/(2/(-8)). 1 Suppose -23*t = -24*t + 295. Calculate the remainder when t is divided by 37. 36 Let b = 0 + 10. Let z be (-64)/(-4)*(8 + -1). Suppose -3*n + z = n. What is the remainder when n is divided by b? 8 Suppose 5*g - 5*a = 278 + 87, 0 = 5*g - 3*a - 365. Suppose 2*k - g - 1 = 0. Let w = k - 13. Calculate the remainder when w is divided by 13. 11 Let y = -3 + 3. Suppose y = -2*m + 5*m - 9. Suppose 85 = 5*l - 5*i, -3*i + 63 = -0*l + m*l. Calculate the remainder when 55 is divided by l. 17 Suppose v - 168 = -2*v. Let u = -8 + 10. Suppose 5*a - 57 = u*a. What is the remainder when v is divided by a? 18 What is the remainder when 382/14 - 4/14 is divided by 14? 13 Suppose 14 - 2 = 4*a. Calculate the remainder when 33 is divided by 15 + (2 - 3) + a. 16 What is the remainder when ((-328)/(-20))/(4/10) is divided by 21? 20 Suppose k = 18 + 18. Suppose w + 2*w = k. Calculate the remainder when 34 is divided by w. 10 Let g(d) = 10*d + 1. Let x = 0 - -20. Suppose x + 20 = 2*u. What is the remainder when u is divided by g(1)? 9 Let r(w) = -21
{ "pile_set_name": "DM Mathematics" }
12. Let j(c) = -4*c**3 + 6*c**2 - c - 14. What is 5*j(n) - 6*r(n)? -2*n**3 + n + 2 Let j(b) = -12*b - 1. Let q(h) = -2*h**2 + 37*h + 2. What is 8*j(w) + 3*q(w)? -6*w**2 + 15*w - 2 Let b(y) = 6*y + 8. Let c(g) = -g - 1. Suppose -3*q - 32 = -11*q. What is q*c(u) + b(u)? 2*u + 4 Let t = -187 + 185. Let w(p) = -8*p**2 - 10*p + 9. Let a(s) = -4*s**2 + 0*s**2 + 3 + 3*s**2 - 2 - s. Give t*w(b) + 18*a(b). -2*b**2 + 2*b Let m(r) be the second derivative of -r**3 + 3*r**2/2 + 17*r. Suppose -2*u - 10 = -4*n, 1 + 5 = 3*n - u. Let t(y) = y - 1. Determine n*m(i) + 5*t(i). -i - 2 Let i(n) = n + 1. Let p(y) = 16*y + 14. Suppose 6 = -110*l - 214. Calculate l*p(d) + 28*i(d). -4*d Let u(b) be the first derivative of 5*b - 828*b**2 + 834*b**2 - 3*b - 28. Let i(o) = -o. Determine -10*i(n) - u(n). -2*n - 2 Let j = -37 + 110. Let s(w) = -j*w**2 - 2*w**3 + 77*w**2 + 5 - 3 + 2*w. Let x(d) = -1. Determine -s(c) - 2*x(c). 2*c**3 - 4*c**2 - 2*c Suppose -7*b = 17 - 59. Let p(z) = -92*z - 68. Let n(g) = 4*g + 3. What is b*p(x) + 136*n(x)? -8*x Let p(k) = -402*k**2 - 5*k. Let w(h) = 31556*h**2 + 392*h. What is 392*p(d) + 5*w(d)? 196*d**2 Let k be (-8)/16*-1*52. Let s = k - 34. Let y(x) = 5*x - 6. Let c(p) = -2*p + 2. What is s*c(d) - 3*y(d)? d + 2 Let d(v) = -26*v**2 + 4*v - 5. Let w(u) = 27*u**2 - 5*u + 6. Calculate -6*d(a) - 5*w(a). 21*a**2 + a Let k(r) = 18*r**2 + 2*r - 92. Let f(d) = -10*d**2 - d + 46. Calculate 7*f(g) + 4*k(g). 2*g**2 + g - 46 Let q(f) = -92*f**2 + 7. Let j(i) = 45*i**2 - 4. Calculate -5*j(x) - 2*q(x). -41*x**2 + 6 Let m(p) = 50*p - 8. Let l(n) = 25*n - 4. Give -5*l(t) + 2*m(t). -25*t + 4 Let a(c) = 13*c + 45. Let d(o) = 6*o + 22. What is -4*a(x) + 9*d(x)? 2*x + 18 Let h be (3 - (5 + 0)) + -1. Let z(n) = n**2. Let y(u) = 2*u**2. Suppose 9*k - 34 = 38. Calculate h*y(i) + k*z(i). 2*i**2 Suppose 12*s = 60*s - 240. Let r(a) = 2*a - 7. Let k(c) = 4 + c + 2 - 3*c. Give s*r(x) + 6*k(x). -2*x + 1 Let x(z) = 38*z**3 + 6*z**2 - 5*z + 7. Let g(b) = 36*b**3 + 7*b**2 - 6*b + 8. What is -5*g(l) + 6*x(l)? 48*l**3 + l**2 + 2 Let x(h) = 35*h**2 + 28*h - 28. Let i(a) = -7*a**2 - 6*a + 6. Let d(s) = 8*s**2 + 7*s - 7. Let n(c) = 3*d(c) + 4*i(c). Determine 28*n(m) + 3*x(m). -7*m**2 Let y(l) = 4*l**2 - 155*l + 54. Let d(w) = -2*w**2 + 77*w - 31. Give 7*d(b) + 4*y(b). 2*b**2 - 81*b - 1 Let y(i) = -1 + 0 - 4062*i + 3 + 4063*i. Let g(c) = 2*c + 3. Suppose 4*w = -1 - 23. Let z be (-8)/6*(-30)/4. Calculate w*g(d) + z*y(d). -2*d + 2 Let r(y) = -64*y + 24. Let o(a) = -a - 1. Calculate -24*o(i) - r(i). 88*i Let l(r) = 7*r**3 + 3*r**2. Let g(n) = 14*n**3 + 5*n**2 + 1. Calculate 3*g(w) - 5*l(w). 7*w**3 + 3 Let d(s) = 3*s**2 - s + 2. Let j(u) = 3*u**2 - u + 2. What is -3*d(b) + 2*j(b)? -3*b**2 + b - 2 Let r(u) = -1. Suppose -3*o - 46 = -49. Let g(s) = -s - 6. What is o*g(m) - 6*r(m)? -m Let l(r) = -380*r + 79. Let c(w) = -191*w + 35. What is 9*c(i) - 4*l(i)? -199*i - 1 Let x(f) = 4*f**2 - 4*f + 1. Let v = -247 + 242. Let w(k) = -7*k**2 + 7*k - 1. What is v*x(q) - 3*w(q)? q**2 - q - 2 Let j(h) = -17*h. Let z(r) = 16*r. Let l(y) = -33*y. Let c(d) = -2*l(d) - 3*z(d). Determine -4*c(u) - 5*j(u). 13*u Let h(a) = a + 2. Let f = 13 + 4. Let r = -28 + f. Let u(i) = i**2 + 10*i - 9. Let o be u(r). Let y(t) = -3*t - 6. Give o*y(n) + 7*h(n). n + 2 Let g(m) = 22*m**3 - 6*m**2 + 8*m - 8. Let b(o) = -21*o**3 + 5*o**2 - 7*o + 7. Give -6*b(n) - 5*g(n). 16*n**3 + 2*n - 2 Let b(s) = -8*s - 7. Suppose 9*a + 16 = 34. Let c(o) be the first derivative of a - 7/2*o**2 - 6*o. Determine 6*b(h) - 7*c(h). h Let q(y) = 25*y**3 - 7*y**2 + 4*y + 7. Let k(f) = 12*f**3 - 2585*f + 1292*f + 3 + 1295*f + 0*f**2 - 3*f**2. Calculate -7*k(x) + 3*q(x). -9*x**3 - 2*x Let n(a) = -36*a - 34. Let f(k) = k - 1. Let q(t) = 5*t - 4. Let d(j) = -9*f(j) + 2*q(j). Give 204*d(g) + 6*n(g). -12*g Let y(r) = -862*r**3 - 3*r**2 + 9. Let q(m) = 124128*m**3 + 431*m**2 - 1293. Calculate -3*q(k) - 431*y(k). -862*k**3 Let b(h) = 50*h + 10. Let m(x) = 3*x + 1. Let p(v) = b(v) - 15*m(v). Let a(q) = 5*q - 4. Give 4*a(o) - 3*p(o). 5*o - 1 Let i(k) = -k**3 + 2. Let j(r) = 2*r**3 + 181*r**2 - 4. Give -3*i(b) - j(b). b**3 - 181*b**2 - 2 Let d(y) = -3*y**2 + 62*y. Let x(s) = 13*s**2 - 248*s. Give 9*d(p) + 2*x(p). -p**2 + 62*p Let l(j) = -613*j**2 + 10*j + 17. Let k(r) = 1840*r**2 - 32*r - 54. Give -5*k(p) - 16*l(p). 608*p**2 - 2 Let f(i) = 7*i**2 + 4*i + 28. Let u(x) = 3*x**2 + 2*x + 14. Give 2*f(h) - 5*u(h). -h**2 - 2*h - 14 Let k(j) = -84*j**2 + 35. Let g(d) be the third derivative of -d**5/12 + d**3/3 - 79*d**2. Calculate -35*g(p) + 2*k(p). 7*p**2 Let w(a) = 70*a + 22. Let o(c) = 35*c + 10. Determine -9*o(x) + 4*w(x). -35*x - 2 Let o(c) be the first derivative of 9*c**2/2 - 9*c - 1. Let v(k) = 5*k - 5. Let p = 126 - 133. Calculate p*v(l) + 4*o(l). l - 1 Let x(n) = 5*n - 58. Let a(s) = 6*s - 51. Calculate -7*a(i) + 6*x(i). -12*i + 9 Let l(s) = -7*s**2 + 4. Let t(r) = 15*r**2 - 7. Let a(f) = -21*f + 185. Let g be a(9). Give g*t(o) - 7*l(o). -11*o**2 Let c(q) = 0*q**3 + 0*q**3 - 7*q**2 + 5*q + 3*q**3 + 7. Let d(g) = -4*g**3 + 8*g**2 - 6*g - 8. Let b be ((-5175)/1380)/(14/(-8) + 1). Determine b*d(f) + 6*c(f). -2*f**3 - 2*f**2 + 2 Let i(n) be the second derivative of n**3/2 - 7*n**2/2 + n + 2. Let v(y) = -4*y + 11. Calculate -7*i(z) - 5*v(z). -z - 6 Let l(q) = 759*q - 1. Let m(g) = 253*g. Determine 2*l(s) - 7*m(s). -253*s - 2 Let b(u) = 7*u**3 + u - 2. Let k(s) = s**3 - s**2 - s - 1. Calculate b(n) - 2*k(n). 5*n**3 + 2*n**2 + 3*n Suppose 18*v - 7*v = 33. Let j(n) = -n - 1. Let a(g) = 4*g + 4. What is v*j(f) + a(f)? f + 1 Let v(u) = -21*u**2 - 6*u + 9. Let s(g) = -42*g**2 - 14*g + 22. Determine 3*s(l) - 7*v(l). 21*l**2 + 3 Let c(y) = -207*y**2 + 13*y. Let b(g) = 103*g**2 - 6*g. Determine 9*b(w) + 4*c(w). 99*w**2 - 2*w Let b(s) = 17*s - 18. Let m(v) = 17*v - 16. Calculate -3*b(c) + 4*m(c). 17*c - 10 Let h = 9 + -15. Let a(n) = 280*n - 149*n - 124*n - 7*n**3 + 3*n**2. Let c(x) = -8*x**3 + 4*x**2 + 8*x. Give h*a(r) + 5*c(r). 2*r**3 + 2*r**2 - 2*r Let w(g) = g - 1. Let x(o) = 30*o + 14. Give -10*w(t) - x(t). -40*t - 4 Let v be 39/15 - 2/(-5). Let r(u) = 5*u**3 - 3*u**2 - 2. Let m(d) = d**3 - d**2 - 1. Suppose -5*b + 23 = -o + 27, o - 1 = 2*b. Determine b*r(c) + v*m(c). -2*c**3 - 1 Let f(b) = -b**2 - b + 2. Let m be 17/(-5) - 4/(-10). Let z(o) = 2*o**2 + 2*o - 2. Let q = 223 + -227. Determine m*z(k) + q*f(k). -2*k**2 - 2*k - 2 Suppose 2*r - 2 = -12. Let v(t) = t - 3. Let h(f) be the second derivative of f**3/3 - 5*f**2/2 + 1481*f. Determine r*h(x) + 8*v(x). -2*x + 1 Let p(r) = 3*r**3 - 3*r**2 - 6*r + 6. Let d(c) = -8*c**3 + 8*c**2 + 17*c - 17. Let u = -222 - -228. Determine u*d(z) + 17*p(z). 3*z**3 - 3*z**2 Let a(t) = t**2 + 2*t + 1. Let n(l) = 8*l**2 + 8*l + 94. Give 5*a(f) - n(f). -3*f**2 + 2*f - 89 Let d(t) = 20*t + 20. Suppose -37 + 49 = 2*m. Suppose -m*q + 119 = q. Let o(x) = 7*x + 7. Give q*o(p) - 6*d(p). -p - 1 Let j(m) = -4*m**3 + 6*m**2 + 2*m - 1. Let r(o) be the first derivative of -3*o**4/4 + 5*o**3/3 + o**2 - o + 98. What is -5*j(h) + 6*r(h)? 2*h**3 + 2*h - 1 Let m be (-56)/(-21)*3/2. Suppose 5*h = -2*h. Let u(g) = -m + g + 1 + h*g. Let x(s) = 1. Give u(a) + 3*x(a). a Let q(g) = g**3 + 8 - 2*g**2 + 4*g**3 - 6*g + 2*g**3. Let t(z) = 3*z**3 - 2*z**3 + 1 + 1244*z - 1245*z. Give -q(h) + 6*t(h). -h**3 + 2*h**2 - 2 Let w(l) = 2*l**3 + 14*l**2 + 164. Let y(u) = u**2 - 1. What is w(k) - 12*y(k)? 2*k**3 + 2*k**2 + 176 Let v be 26*5/40 + (-1)/4. Let h(j) = 234*j**2 - 3 + 6*j - 231*j**2 - 6*j**v - 3*j. Let n(a) = -11*a**3 + 5*a**2 + 5*a - 5. Give 5*h(b) - 3*n(b). 3*b**3 Let y(n) = -2*n - 5. Let p(s) = -3*s - 9. Let z be ((-3)/9)/(2/18). Suppose 3*d = -5 + 20. Determine d*y(x) + z*p(x). -x + 2 Let z(o) = 4*o**3 - 23*o**2 + 3*o - 7. Let p(x) = -8*x**3 + 47*x**2 - 7*x + 16. What is -3*p(k) - 7*z(k)? -4*k**3 + 20*k**2 + 1 Let b(h) = -3*h**2 + 31*h + 41. Let z(g) = 2*g**2 - 22*g - 27. Give 5*b(r) + 7*z(r). -r**2 + r + 16 Let n = 21656 - 15366. Let z(x) = -6290 - 3*x + n + x**2. Suppose 5*b + 2*j + 13 = -0*b, 3*j = -b. Let v(f) = f**3 + 2*f**2 - 4*f. Give b*z(c) + 2*v(c). 2*c**3 + c**2 + c Let j(h) = 9*h**2 + 2*h + 2. Let c(i) = -217*i**2 - 63*i - 49. Let m(d) = 217*d**2 + 61*d + 49. Let l(z) = 6*c(z) + 7*m(z). Give -147*j(g) + 6*l(g). -21*g**2 Let r = 20 +
{ "pile_set_name": "DM Mathematics" }
-3*f - 297 - 450. Let p = f - -1745/7. What is the nearest to 0.1 in -4, p, -46? p Let m = 16165 - 16166.4. Which is the closest to 1/3? (a) m (b) 0.02 (c) 1/9 c Let v = 7529 - 7525. Which is the nearest to 6? (a) v (b) -0.04 (c) 5 (d) -0.3 c Let m(q) = 27*q**2 + 617*q - 89. Let h be m(-23). Let j = 221/4 + -56. Let d = 0.1 - 0.1. Which is the closest to d? (a) j (b) -4 (c) h a Let j = 509 - 506. Let w be -2*j*(-5)/75. Which is the closest to 1/2? (a) 4 (b) 6 (c) w c Let d = -1 - -1. Suppose -2*i - 3*m = -12, -i + 3*m = -0*m - 15. Let s = 276 - 280. Which is the nearest to d? (a) 0.5 (b) i (c) s a Let y = 12 - -3. Let s = -14 + y. Let a = 2.7 + 1.3. What is the closest to s in -5, 2, a? 2 Let g = -2 + 1. Let h be (-152)/(-10) - (30 + (25 - 40)). Which is the closest to g? (a) h (b) -1/7 (c) -0.1 (d) -8/7 d Let g = 141 - 150. Let d = 9.1 + g. Let w = 88 - 788/9. What is the closest to -1 in w, d, -13? d Suppose 0 = o + 2*n + 22, 2*o = -2*o - 2*n - 76. Let m be -1 + -4 - 108/o - -2. Which is the closest to 0? (a) m (b) 0.4 (c) -14/3 b Let j = 1561 - 1563. Which is the nearest to j? (a) 3 (b) -33 (c) 1/6 c Let j = -39921 + 119765/3. What is the closest to 0.3 in -5, j, -0.4, 3? j Let k be ((-12)/(-10))/((-10 - -12)/(-10)). What is the nearest to k in 4, -4, 21? -4 Let s = -0.1 + 0.12. Let o be (111/37)/(85/(-17)). What is the nearest to -2 in -5, o, s? o Suppose -24 = 60*n + 36. Let i = -127 - -130. Which is the closest to n? (a) -1/2 (b) i (c) -2/29 a Suppose 3*f + 14 = -16. Let o be 4/f - (44/20 + -2). Let i = 6 + -5.9. What is the nearest to i in -1/4, o, -3? -1/4 Let n = -170 - -174. Let z = -1304/7 + 186. Let y = -6 + 1. Which is the closest to 3/4? (a) n (b) y (c) z c Suppose 8 = 3*v + 17. Let r = -12.41 - -3.41. What is the nearest to 0 in r, 4/3, v? 4/3 Let h = -2010.822 - -2015. Let f = -0.178 + h. Let o(t) = -t**3 - 3*t**2 + 1. Let v be o(-2). Which is the closest to -0.3? (a) f (b) v (c) 1/7 c Let s = 13.7 + -14.9. Let v = s - -1.4. Which is the nearest to 0.1? (a) -2/13 (b) v (c) 0.1 c Let l = -0.2 - -0.2. Let z = 60845 - 60846. Which is the nearest to l? (a) 0.02 (b) 0.4 (c) z a Suppose -35 = -4*l + 2*m + 81, -96 = -3*l - 3*m. Let f be -3 + 12/l - -3. Which is the closest to f? (a) -0.1 (b) -1 (c) 0.3 c Let f be ((-2)/8*-6)/(132/(-48)). Let z be 10*(3268/9030 - 1/3). Which is the nearest to z? (a) -5/6 (b) 2/3 (c) f (d) -3 b Let l = -1486.5 + 1487. Which is the nearest to 1/3? (a) 21 (b) l (c) -8/3 b Let h be 4*62/(-124) - 40/(-22). Let o = 0.4 - 0.3. Which is the closest to o? (a) h (b) -3 (c) -3/5 a Let r = -1482 + 1818. Let y = -0.4 - -2.4. What is the closest to 2/5 in r, y, 2/5, 0? 2/5 Let k = 2.2 + -14.2. Let o = -11.8 - k. Let w = -183 - -183.5. Which is the closest to -1/9? (a) w (b) o (c) 0 c Let w(x) = -x**3 + 5*x**2 + 10*x - 20. Let q be w(6). Let u = -0.1 - 7.9. Let r = -6 + 6.5. Which is the nearest to 0.1? (a) q (b) u (c) r c Let r = 4475 + -4475. What is the nearest to 14 in r, -5, -3? r Let d = -3/7607 - -15235/53249. What is the nearest to d in -26/5, -4, -3/5, -0.5? -0.5 Let r = 9731.3 - 9731. Which is the nearest to 2/3? (a) -4 (b) r (c) 3/19 b Let r(z) = -z**3 - 3*z**2 - 3*z - 3. Let o be r(-2). Let g = 71 - 57. Suppose -g*n = -10*n - 12. Which is the closest to -1/3? (a) o (b) -2/7 (c) n b Let c(k) = k**2 - 13*k + 12. Let y be c(9). Let i be 2/(-24) + (-8)/y. Let m = -0.3 + 0.4. What is the nearest to m in -1/7, i, -1/4? i Let w be (-15)/3 + ((-520)/(-12))/5. Let v = w + -10/3. Which is the nearest to 1? (a) 1 (b) 2/3 (c) v a Let v = -450.3 - -450. What is the nearest to 40 in 2/9, v, 0, 0.2? 2/9 Let d = -29 - -25. Let v = -0.194 - -0.394. Which is the nearest to 1? (a) v (b) -1.1 (c) d a Let n = 1.7 - 1.3. Let i be (-84)/((-126)/(-9))*(-1)/6. What is the nearest to i in n, -1/3, 2/3, -0.01? 2/3 Let o(r) = 209*r - 1878. Let j be o(9). What is the closest to -10 in 2/11, 70, j? 2/11 Let k = -13669.1 - -13668.5. Suppose 3*o - 7 = -4. Which is the nearest to o? (a) -0.5 (b) k (c) 0.2 c Let t be ((-5)/(-50))/(-4*12/(-240)). What is the closest to t in 0.6, -1/6, 13? 0.6 Let g be -6*40/(-288)*(7 - 5). Which is the nearest to 58? (a) 1/5 (b) g (c) 0 b Let b = -87547/11 - -7959. What is the closest to 5 in -1, 16/123, b? b Let k = -1115/11 + 101. Let z = -786756.8 + 786757. Let v = 0.8 - -0.2. Which is the closest to v? (a) 1 (b) z (c) k a Let j be (95/(-33) - -3)*12/(-8). Let h be (-1)/4*(-2 - -3). What is the closest to h in -0.4, -2, j? j Let s = -263 - -299.2. Let q = 0.2 - s. What is the closest to 1 in -0.2, q, -0.5? -0.2 Let l = 25.3 - 25.4. Which is the nearest to l? (a) 3 (b) 8 (c) 2 (d) -1/5 d Let m(c) = c**3 - 118*c**2 + 2*c - 246. Let n be m(118). What is the closest to 0 in -6, n, 0.1, -2? 0.1 Let w = 429/815 - -12/163. Let x = 1034/23 - 9059/69. Let m = x + 87. What is the nearest to m in -2, w, 5? w Let y(m) = 3*m + 1. Let u be y(3). Let s = u + -14. Let f = 0.3 - 0.1. Which is the nearest to -0.2? (a) 1/10 (b) f (c) s a Let d = 267 - 267.05. What is the closest to 5 in 3, d, -1/8, -5? 3 Let r = -108.85 - 0.15. Let q = r + 75. Let a = q + 33. What is the nearest to a in -0.4, -6/11, 0.3? -6/11 Let n = -1648 - -1646.5. Which is the closest to -1? (a) n (b) 3 (c) -2 a Let i = 19 + -29. Let j be 4/14 - (14229/6216 - 2). Let w = j - -595/888. Which is the nearest to w? (a) i (b) -0.1 (c) 3/4 c Let x = -3942 + 3941. What is the nearest to -0.1 in -3.1, -13, x? x Let z = 1127.3 - 1127.6. Which is the closest to -2/101? (a) 2 (b) 0.1 (c) z b Let j be 3 + 40/(-12) - 145/(-87). What is the closest to -1 in 3, 0.36, -2, j? -2 Let p be -1 + -3 + (-1550)/(-403). Which is the nearest to -0.2? (a) 9 (b) 3 (c) -3 (d) p d Let o = 23102 - 23099. Let b = -0.27 - 0.03. What is the nearest to o in -2/7, b, 2? 2 Suppose -x = 3*x - 0*x. Let o be 3*1/2*16/3. Let w = -7 + o. Which is the closest to -1? (a) 2/13 (b) w (c) x c Suppose -35*q - 42 = 238. What is the closest to 1 in q, -1/2, -25, -4? -1/2 Let w = -32 + 31. Let u = -7 - -7.4. Which is the closest to 0.8? (a) u (b) -0.4 (c) w a Let o = 23.49 - 23.44. What is the nearest to o in 0.2, -3/5, 9? 0.2 Suppose -2*x = -4*a - 30, 871 = 2*a - 2*x + 899. Let s = -98/129 - -4/43. What is the closest to s in 3/5, a, -5? a Let w be (-61092)/(-810)*(-3 + 0). Let j = -680/3 - w. Which is the closest to -1/4? (a) 13.4 (b) 4 (c) j c Suppose 56*g = -37*g - 279. Which is the nearest to 0.1? (a) -1.2 (b) 1/3 (c) g b Let s = -6/127613 + -127595/382839. Let y = 0 - -5. What is the closest to 1 in y, 5/6, s, 1.1? 1.1 Let y = -2510 + 57716/23. Let z = y - 41/46. Let u = -0.02 - -0.02. Which is the nearest to u? (a) z (b) 3/4 (c) -0.3 c Let l = 263 - 513. Let m = l - -249.5. What is the nearest to -2/75 in m, -4, 5? m Suppose -4*x + 2*q = -14, 7*q + 18 = -2*x + 3*q. What is the closest to 0.2 in 4, 0.61, 0.2, x? 0.2 Suppose 0 = -2*h - 4. Let n be (2/6)/(h/3). Let a = 415.3 - 415.4. What is the closest to a in n, 4, -5? n Let r = -15.6 - -15. Let y = 14.6 + -14.2. Let z = r - y. Which is the nearest to 1? (a) -4 (b) z (c) 1 c Let p = 0.01 + -265.01. Let s = 265.2 + p. Let r = 3.3 - 3. Which is the nearest to 1? (a) -4 (b) r (c) s b Let j = 3068 + -3069. What is the closest to j in -5, 3/7, 2/3, 0? 0 Let b be ((-46)/690)/(4/(-15)). What is the closest to -0.4 in b, -2/11, 13, -0.2? -0.2 Let l = -121.2 + 73. Let h = l + 48. Which is the closest to -0.1? (a) h (b) 2/7 (c) -0.1 (d) 0.06 c Let t be 3/((-24)/40) + 2474/494. Let i = t + 1231/494. What is the nearest to 0 in 4, 0.4, i? 0.4 Let y be (-8)/21 - (-2)/(-7) - (-91896)/206766. Let v = -4 - -8. What is the nearest to -0.1 in 0.08, v, y? y Let q = 13294.9 + -13295. What is the nearest to q in 5, 1, 15, -2/15? -2/15 Let m(h) = h + 31. Let v be m(14). Let z be 1/2*(-18)/v. Which is the nearest to -1? (a) z (b) -2/3 (c) -2/5 b Let p = -992 + 994. Let k = -4 - -6. Let q = -28 + 29. Which is the closest to k? (a) -1/5 (b) q (c) p c Let o = -4535 - -31741/7. What is the nearest to 0.03 in o, 0.1, -11? 0.1 Let j = 7383.04 - 7383. What is the nearest to -6.3 in j, 2, 0.3? j Let k = -20839.5 + 20840. Which is the neares
{ "pile_set_name": "DM Mathematics" }
/38 What is prob of picking 2 y and 2 z when four letters picked without replacement from {t: 5, z: 2, y: 6}? 3/143 What is prob of picking 1 x and 1 j when two letters picked without replacement from {c: 1, w: 1, j: 1, b: 1, x: 1}? 1/10 What is prob of picking 2 v when two letters picked without replacement from uuuopupiovvuppuuvi? 1/51 What is prob of picking 1 d and 2 n when three letters picked without replacement from gdnggndddnn? 8/55 What is prob of picking 2 z when two letters picked without replacement from sezz? 1/6 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 1, v: 1, y: 17}. 17/171 Calculate prob of picking 2 p, 1 v, and 1 n when four letters picked without replacement from {h: 1, n: 2, p: 2, v: 7, a: 6, s: 1}. 7/1938 Calculate prob of picking 1 y and 1 n when two letters picked without replacement from yynnyyyyyyyyyyynyy. 5/17 Calculate prob of picking 1 s, 1 u, and 2 j when four letters picked without replacement from {i: 1, q: 1, a: 4, u: 1, j: 6, s: 3}. 9/364 Two letters picked without replacement from motmt. What is prob of picking 2 t? 1/10 Two letters picked without replacement from {k: 2, r: 1, l: 1}. What is prob of picking 1 k and 1 r? 1/3 Four letters picked without replacement from uuaiiiaaeuu. What is prob of picking 3 a and 1 i? 1/110 Three letters picked without replacement from {i: 7, p: 9}. What is prob of picking 1 i and 2 p? 9/20 Two letters picked without replacement from kkkkkkk. What is prob of picking 2 k? 1 Three letters picked without replacement from {s: 2, r: 3}. Give prob of picking 1 s and 2 r. 3/5 Three letters picked without replacement from {a: 3, z: 1, m: 3, p: 3, k: 4, d: 1}. What is prob of picking 1 k, 1 m, and 1 z? 12/455 Calculate prob of picking 2 t when two letters picked without replacement from ttttrttrrtvrr. 7/26 Four letters picked without replacement from msmxxxmrmmrmmr. What is prob of picking 1 s and 3 x? 1/1001 Two letters picked without replacement from ataoaomgqmgoqqog. Give prob of picking 1 m and 1 a. 1/20 What is prob of picking 1 b, 1 j, and 2 q when four letters picked without replacement from jjbujjjjojuojjjjqjqj? 13/4845 What is prob of picking 1 f and 1 v when two letters picked without replacement from {v: 1, z: 1, c: 1, y: 1, f: 1}? 1/10 What is prob of picking 1 o and 1 i when two letters picked without replacement from jlmlilimollllljjmi? 1/51 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from kxkxxkiwxzk. 4/55 What is prob of picking 2 e and 1 d when three letters picked without replacement from ddeddedd? 3/28 Calculate prob of picking 2 t when two letters picked without replacement from {t: 12, b: 7, u: 1}. 33/95 Four letters picked without replacement from {e: 3, l: 1, c: 2, j: 4}. Give prob of picking 2 j and 2 c. 1/35 Calculate prob of picking 3 r when three letters picked without replacement from mrmxvooormxroxrkrxkk. 1/114 What is prob of picking 2 k and 1 q when three letters picked without replacement from {i: 4, k: 2, q: 7}? 7/286 Four letters picked without replacement from tutuuuuuuuutuuu. What is prob of picking 3 t and 1 u? 4/455 Four letters picked without replacement from {r: 2, l: 2, x: 6, h: 1, q: 7}. Give prob of picking 1 x, 1 q, 1 r, and 1 h. 7/255 Four letters picked without replacement from uumuuuuuuuuum. Give prob of picking 1 m and 3 u. 6/13 Three letters picked without replacement from klwgllkkkwkwklg. What is prob of picking 1 g and 2 w? 6/455 What is prob of picking 1 j and 1 u when two letters picked without replacement from utepyuj? 2/21 Four letters picked without replacement from {m: 6, k: 6}. What is prob of picking 4 m? 1/33 Four letters picked without replacement from {h: 2, q: 1, e: 1, z: 2, j: 1, g: 1}. What is prob of picking 2 z, 1 q, and 1 e? 1/70 Three letters picked without replacement from ghghnghhhhhghnj. What is prob of picking 3 h? 8/65 Two letters picked without replacement from gxqg. What is prob of picking 2 g? 1/6 Three letters picked without replacement from umpumumuuuuupcuummcu. Give prob of picking 1 m and 2 c. 1/228 What is prob of picking 1 v and 2 h when three letters picked without replacement from hhhpvvhvvwhbhbv? 15/91 Calculate prob of picking 1 t and 1 m when two letters picked without replacement from {h: 2, m: 1, t: 1, v: 1}. 1/10 Three letters picked without replacement from {d: 3, q: 4, u: 2}. What is prob of picking 3 q? 1/21 Calculate prob of picking 1 m, 1 d, and 2 z when four letters picked without replacement from {b: 1, m: 3, d: 3, z: 5}. 2/11 Two letters picked without replacement from {k: 10, j: 9}. Give prob of picking 2 k. 5/19 Calculate prob of picking 2 p and 1 j when three letters picked without replacement from {v: 1, p: 5, y: 1, d: 3, j: 1}. 2/33 Two letters picked without replacement from mmaaaammmmm. What is prob of picking 1 a and 1 m? 28/55 Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {c: 2, e: 2, n: 8}. 8/33 Calculate prob of picking 2 h and 1 a when three letters picked without replacement from aaaahaaaaahaaaaaahaa. 17/380 Calculate prob of picking 2 n and 1 o when three letters picked without replacement from nnnnnnnonnnnnnnnnn. 1/6 What is prob of picking 2 o when two letters picked without replacement from {o: 5}? 1 Calculate prob of picking 1 c and 1 y when two letters picked without replacement from ycyhczzyrcyycycyhzy. 40/171 Calculate prob of picking 2 x when two letters picked without replacement from {m: 3, x: 9}. 6/11 What is prob of picking 2 k when two letters picked without replacement from {k: 17, n: 3}? 68/95 Four letters picked without replacement from fffccccfcc. What is prob of picking 2 f and 2 c? 3/7 Two letters picked without replacement from rqcqorr. What is prob of picking 1 o and 1 c? 1/21 What is prob of picking 2 q and 1 p when three letters picked without replacement from {q: 2, y: 1, k: 4, p: 4, l: 7, z: 1}? 4/969 Calculate prob of picking 2 e and 1 s when three letters picked without replacement from {e: 5, m: 8, s: 4}. 1/17 What is prob of picking 2 x and 1 e when three letters picked without replacement from {e: 2, k: 7, x: 1}? 0 Two letters picked without replacement from {o: 1, l: 2, t: 1, u: 1}. Give prob of picking 1 t and 1 l. 1/5 Three letters picked without replacement from sllwlwudwwfslluuudf. Give prob of picking 1 u and 2 f. 4/969 What is prob of picking 1 t and 1 e when two letters picked without replacement from jeytw? 1/10 Three letters picked without replacement from {y: 3}. What is prob of picking 3 y? 1 Two letters picked without replacement from yyyyyyyyyyzz. Give prob of picking 2 z. 1/66 Calculate prob of picking 3 z and 1 r when four letters picked without replacement from zzzzzvzvzzzrzvz. 11/91 Calculate prob of picking 1 i and 1 a when two letters picked without replacement from iba. 1/3 What is prob of picking 1 i and 1 z when two letters picked without replacement from iizizizizipiizzpzi? 7/17 Three letters picked without replacement from {e: 11, t: 2}. What is prob of picking 3 e? 15/26 Two letters picked without replacement from yuwuuuwwyuiyiwu. What is prob of picking 1 w and 1 u? 8/35 Two letters picked without replacement from {c: 1, x: 1, v: 1, q: 1, r: 1, y: 2}. Give prob of picking 1 r and 1 q. 1/21 Four letters picked without replacement from ooaaoooa. Give prob of picking 4 o. 1/14 Three letters picked without replacement from {x: 9}. Give prob of picking 3 x. 1 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from ydydycoyiooycoy. 8/35 Calculate prob of picking 2 c when two letters picked without replacement from cchchc. 2/5 What is prob of picking 1 b and 3 e when four letters picked without replacement from {e: 3, b: 4}? 4/35 What is prob of picking 3 p when three letters picked without replacement from ypdpp? 1/10 Two letters picked without replacement from yaaa. What is prob of picking 1 y and 1 a? 1/2 Calculate prob of picking 2 t and 1 k when three letters picked without replacement from tjztokojc. 1/84 Three letters picked without replacement from nfnpjpnfpnr. What is prob of picking 1 j, 1 n, and 1 f? 8/165 Two letters picked without replacement from qvvh
{ "pile_set_name": "DM Mathematics" }
ce fd when two letters picked without replacement from {d: 4, r: 2, f: 7}? 7/39 Three letters picked without replacement from wwpwfpwffwwf. What is prob of sequence fpw? 2/55 Calculate prob of sequence kkkk when four letters picked without replacement from kkkkkkkkk. 1 Calculate prob of sequence hrrh when four letters picked without replacement from vvrbvurzurbzrzzubvhz. 0 Two letters picked without replacement from {e: 3, d: 11}. Give prob of sequence de. 33/182 Calculate prob of sequence ll when two letters picked without replacement from {i: 14, l: 4}. 2/51 Three letters picked without replacement from zzzzzzzpzp. What is prob of sequence ppz? 1/45 What is prob of sequence jj when two letters picked without replacement from jjjffzzfzzjjjjzfj? 7/34 What is prob of sequence rfg when three letters picked without replacement from {g: 5, u: 2, f: 1, r: 8}? 1/84 Four letters picked without replacement from {z: 2, b: 1, s: 2, g: 1}. What is prob of sequence zsgz? 1/90 What is prob of sequence ijn when three letters picked without replacement from jnjmjijtciimcijjj? 7/1020 Calculate prob of sequence pe when two letters picked without replacement from mevmvvvvvmemvdvp. 1/120 Four letters picked without replacement from {v: 2, o: 1, p: 2}. Give prob of sequence vpvv. 0 Calculate prob of sequence zzzw when four letters picked without replacement from {d: 2, w: 2, z: 7}. 7/132 Three letters picked without replacement from rrarraaarrarrrrrrwrr. What is prob of sequence awa? 1/342 Two letters picked without replacement from vvr. What is prob of sequence vr? 1/3 Two letters picked without replacement from ccxxxocxox. What is prob of sequence oc? 1/15 What is prob of sequence xw when two letters picked without replacement from exwvwwp? 1/14 Four letters picked without replacement from lhyygdgyhdhygyd. Give prob of sequence hdhd. 1/910 Two letters picked without replacement from ooznnnnmzznoinz. What is prob of sequence in? 1/35 Calculate prob of sequence fpg when three letters picked without replacement from {z: 1, t: 1, g: 1, p: 1, f: 1}. 1/60 Three letters picked without replacement from {f: 5, s: 2}. Give prob of sequence ssf. 1/21 Calculate prob of sequence lj when two letters picked without replacement from qjjvjllj. 1/7 Calculate prob of sequence thtl when four letters picked without replacement from {y: 3, l: 2, t: 2, e: 1, h: 6, c: 1}. 1/1365 Calculate prob of sequence li when two letters picked without replacement from leeeepeiepeeooi. 1/105 What is prob of sequence sgs when three letters picked without replacement from sgsgsgggsgsgss? 7/52 Two letters picked without replacement from rrjlqqrlbblrlrrbr. Give prob of sequence qr. 7/136 What is prob of sequence gtc when three letters picked without replacement from {t: 4, g: 1, c: 2, n: 10}? 1/510 Four letters picked without replacement from {g: 2, s: 2, i: 7, b: 1, h: 1, f: 2}. Give prob of sequence gfib. 1/1170 Three letters picked without replacement from {w: 2, s: 4, t: 2, c: 1, o: 3, i: 8}. Give prob of sequence wci. 2/855 Three letters picked without replacement from {j: 2, l: 1, u: 2, x: 1, b: 1, q: 1}. What is prob of sequence juj? 1/84 Three letters picked without replacement from {v: 1, l: 1, a: 1, f: 2, w: 1, g: 1}. Give prob of sequence vfw. 1/105 Three letters picked without replacement from thjlhettweeetth. Give prob of sequence ehw. 2/455 What is prob of sequence ay when two letters picked without replacement from {a: 1, h: 1, y: 1, i: 1, s: 2, c: 1}? 1/42 Two letters picked without replacement from {k: 1, t: 7, i: 10, z: 2}. What is prob of sequence kt? 7/380 What is prob of sequence cp when two letters picked without replacement from uuupuccuuuuuuuuuucuu? 3/380 Three letters picked without replacement from {g: 7, x: 2}. What is prob of sequence xgx? 1/36 Calculate prob of sequence yb when two letters picked without replacement from {y: 2, c: 2, k: 5, n: 1, a: 2, b: 1}. 1/78 What is prob of sequence nmnr when four letters picked without replacement from nnrrnmuurr? 1/210 What is prob of sequence bzzu when four letters picked without replacement from {b: 1, u: 7, z: 2, k: 2}? 7/5940 What is prob of sequence hhhh when four letters picked without replacement from {h: 4, m: 2}? 1/15 Two letters picked without replacement from {j: 1, z: 4, r: 1, k: 1, l: 1}. Give prob of sequence lz. 1/14 Three letters picked without replacement from {x: 2, e: 3, q: 1, s: 3, w: 1, t: 2}. What is prob of sequence ttw? 1/660 Three letters picked without replacement from {u: 4, q: 2}. What is prob of sequence uqq? 1/15 Calculate prob of sequence spj when three letters picked without replacement from {l: 3, s: 1, p: 4, k: 1, j: 4, u: 1}. 2/273 Calculate prob of sequence au when two letters picked without replacement from uuuuuuuauuuu. 1/12 Three letters picked without replacement from zzvxvxzzvvz. What is prob of sequence zzv? 8/99 Calculate prob of sequence qe when two letters picked without replacement from qeeepeepeoqo. 1/11 What is prob of sequence mw when two letters picked without replacement from {m: 3, w: 1, f: 2, k: 2, g: 4}? 1/44 Three letters picked without replacement from eoyoowwzyooyq. What is prob of sequence wwq? 1/858 Three letters picked without replacement from {f: 6}. Give prob of sequence fff. 1 What is prob of sequence qo when two letters picked without replacement from oqooqooooooooq? 33/182 Three letters picked without replacement from {d: 7, f: 2, n: 6, x: 1, p: 1}. Give prob of sequence xnp. 1/680 What is prob of sequence zr when two letters picked without replacement from zzzrzzzzzzzzzzzzzzzz? 1/20 Three letters picked without replacement from {b: 10, o: 2}. What is prob of sequence bbo? 3/22 Calculate prob of sequence ibb when three letters picked without replacement from bsbisibllsb. 4/165 Three letters picked without replacement from ewmeevewvmee. Give prob of sequence mwm. 1/330 What is prob of sequence xmmm when four letters picked without replacement from mmxmmmmmmmmx? 4/33 What is prob of sequence uu when two letters picked without replacement from {c: 15, u: 4}? 2/57 Calculate prob of sequence dy when two letters picked without replacement from {d: 1, k: 1, o: 2, y: 1, e: 1, t: 1}. 1/42 Three letters picked without replacement from ototococcooycowwooo. What is prob of sequence yoo? 5/323 What is prob of sequence nin when three letters picked without replacement from vnii? 0 Four letters picked without replacement from gggggggdgdgg. Give prob of sequence gggg. 14/33 What is prob of sequence oohh when four letters picked without replacement from {o: 4, h: 7}? 7/110 Calculate prob of sequence tt when two letters picked without replacement from {q: 1, e: 1, t: 3, u: 3, j: 1, s: 2}. 3/55 Three letters picked without replacement from {j: 4, n: 3, h: 1, v: 6}. Give prob of sequence vnh. 3/364 Four letters picked without replacement from {y: 1, h: 1, d: 1, w: 2, n: 2}. What is prob of sequence hdwy? 1/420 What is prob of sequence ddzd when four letters picked without replacement from {z: 12, d: 3}? 1/455 Calculate prob of sequence zdzh when four letters picked without replacement from mmhbbmhzmmszhdm. 1/5460 What is prob of sequence rrx when three letters picked without replacement from {x: 1, r: 3, g: 1}? 1/10 Three letters picked without replacement from bgg. Give prob of sequence gbg. 1/3 Four letters picked without replacement from ojnojnoqjnnnooqonou. What is prob of sequence juon? 7/5168 What is prob of sequence pttu when four letters picked without replacement from stulutttp? 1/126 Four letters picked without replacement from {z: 4, d: 7, j: 6}. What is prob of sequence jdzz? 3/340 What is prob of sequence ys when two letters picked without replacement from ustyutuu? 1/56 What is prob of sequence hih when three letters picked without replacement from hhiihihhih? 1/6 Two letters picked without replacement from {l: 5, v: 2, a: 4}. Give prob of sequence vl. 1/11 What is prob of sequence zub when three letters picked without replacement from bblzbuzzubbbu? 9/286 What is prob of sequence wyl when three letters picked without replacement from {w: 2, y: 4, l: 5}? 4/99 What is prob of sequence wn when two letters picked without replacement from {q: 10, n: 4, w: 4, c: 2}? 4/95 Wha
{ "pile_set_name": "DM Mathematics" }
give m. -294 Rearrange 8231*y + 1261 + 8223*y - 16453*y - 415 to f + b*y and give b. 1 Express ((0*s + 4*s - 6*s)*(-1 + 1 - 2) + (1 + 0 + 0)*(6*s + 9*s - 4*s) - 12*s - 21*s - 21*s)*(0*s + 7*s - 3*s) in the form a + b*s**2 + g*s and give b. -156 Rearrange 34 - 2324*o - 126 + 89 to s + f*o and give s. -3 Rearrange (5047 - 5047 - 550*u)*(u - u + 2*u) + (-1 + u + 1 + (2 - u - 2)*(-5 - 1 + 4) + 4*u - 6*u + 4*u)*(0 + 0 + 5*u) to i*u**2 + s + x*u and give x. 0 Rearrange (24*n - 23*n + 35*n)*(-3 + 4*n + 3)*(-2 + 9 + 0) to s*n + k + w*n**2 and give w. 1008 Express (-26*i - 2 + 2)*(36 + 39 - 14) in the form w + b*i and give b. -1586 Express (156 - 33476*k - 33479*k + 66948*k)*(-2*k + 5*k - 5*k) in the form q*k + n*k**2 + d and give q. -312 Express 2 - 1068*m**3 - 1057*m**3 + 16*m - 2*m**2 + 2128*m**3 + m**4 as n*m**4 + z*m**3 + i*m + d*m**2 + s and give s. 2 Express 1 - 3*h**4 - 1 + (-170*h + 1434*h**3 + 167*h + 3181*h**3)*(2 - 2 + h) as s*h**4 + w*h**2 + z*h + i*h**3 + y and give s. 4612 Express -20 - 16*q + q**3 + q**4 + 38 - 23 in the form b*q**3 + o + m*q**4 + k*q + h*q**2 and give o. -5 Rearrange -2*b**3 + 8*b**4 + 5*b**3 + 0*b**3 + 185*b - 358*b + 156*b + 2 to the form i*b**2 + h*b + d*b**3 + p*b**4 + o and give h. -17 Express 87*p**4 + 2*p**2 + 3*p**3 + 255*p**4 - 23*p**4 - p in the form j*p**3 + k + d*p**2 + i*p**4 + q*p and give d. 2 Rearrange -355*r + 4*r**3 - 26 - 339*r + 1030*r - 335*r to the form x*r + p*r**3 + d*r**2 + m and give x. 1 Express 158 + 30 + 1001276*n - 1001274*n as o + v*n and give o. 188 Rearrange -9*j**2 + 38*j**2 - 22*j**3 - 16*j**2 + 79*j**2 + 16*j**2 to the form g*j**2 + z*j + r + k*j**3 and give g. 108 Rearrange (2899396 - 51*q - 59*q - 2899290)*(0 + 3 - 5) to h*q + s and give h. 220 Express 22 + 289925*p**2 - 289925*p**2 + 73*p**3 in the form t*p**3 + r*p + x + n*p**2 and give x. 22 Rearrange -10*u**3 + 2*u**2 - 111*u**3 + u + 131*u**3 - 3*u - 4 to c*u**3 + g + m*u + w*u**2 and give m. -2 Express -68292 + 20*v**2 + 68290 - 15*v**3 - 2*v**4 - 39*v**2 in the form x*v**4 + k*v + f*v**2 + m + p*v**3 and give p. -15 Rearrange (1 - u - 1)*(0 - 1 + 0)*(u + 0 + 0)*(-93 - 157 + 94)*(0*u + 6*u + 2*u) to the form l*u**2 + i*u**3 + k*u + n and give i. -1248 Rearrange 31254*y + 9516*y - 3451*y to the form k + h*y and give h. 37319 Rearrange 13 - 159*d**2 + 14*d**3 - 8*d**3 - 4 + 160*d**2 to f*d**2 + x*d**3 + h + r*d and give h. 9 Rearrange (1 - 3 + 1)*(o - 3*o + 0*o) + (2 + 2 - 3)*(0*o - 6*o + 2*o) - 2*o + 4*o - 3*o - 3*o + 2*o + 2*o - 1298*o + 976*o + 815*o to m + h*o and give h. 491 Rearrange 93*o**3 - 97*o**3 + 10*o**2 - 9*o**2 - 35*o to v + w*o + z*o**3 + r*o**2 and give z. -4 Rearrange (3 + 0 - 6)*(1 - 5 + 3)*(724 - 724 - 3381*l) to the form b + y*l and give b. 0 Rearrange -165*f - 16*f**3 + 2 - 123*f + 290*f - f**2 to the form x*f**2 + g*f + n*f**3 + b and give n. -16 Rearrange (2*b**3 + b**3 - 5*b**3)*(115177*b - 59 - 57589*b - 57568*b) to the form f + l*b**4 + p*b + x*b**3 + z*b**2 and give x. 118 Rearrange -82*l - 17*l**3 + 164*l + 33 - 83*l + 16*l**3 + 18 + 2*l**4 + 2*l**2 to the form p*l**4 + f + k*l**2 + r*l**3 + y*l and give p. 2 Rearrange ((-2 + 0 - 3)*(3*g**3 + 5*g**2 - 5*g**2) + (3*g - 2*g + 9*g)*(-2*g**2 + 0*g**2 + g**2))*(-7 + 5 - 44) to c*g**2 + t*g**3 + l + r*g and give l. 0 Rearrange (-242 + 116 - 243)*(-1 + 1 + 2*n)*(-2*n + 0*n + 4*n) to the form o*n + y*n**2 + g and give o. 0 Express (921 - 444 + 1293)*(13*z + 5*z**2 - 13*z) + z + 4*z**2 - z as a + l*z + x*z**2 and give x. 8854 Express -439*b**3 + 2*b**2 - 105*b**3 + 229*b**3 + 0*b**2 - 1202*b**3 in the form z*b**3 + h + j*b**2 + n*b and give j. 2 Express 27*v**3 - 89*v - 2*v**4 + 9*v**3 + 107*v + 4*v**4 - 6*v**3 as u*v**2 + n*v + x + i*v**4 + r*v**3 and give n. 18 Express (3*a + 2*a - 2*a)*(1032 - 109*a - 1027 - 37*a) in the form m*a + z*a**2 + g and give m. 15 Express -977*w - 3246*w - 1788*w - 2505*w - 3323*w in the form r + a*w and give a. -11839 Rearrange 117439 - 117439 - 1164*s to the form u*s + m and give u. -1164 Rearrange (-404*h - 400*h + 5 + 797*h)*(-25 + 35 + 51) to x + q*h and give q. -427 Express -4018*u - 15401*u - 10989*u - 8708*u in the form y + f*u and give f. -39116 Rearrange (-1 + 1 + 2 + 1 - 1 - 1 + (0 - 1 - 1)*(-6 + 2 + 2) + 893 + 1364 + 1226 + (1 + 1 - 4)*(1 - 1 + 2) + 2 + 2 - 2)*(0 + t + 0) to i*t + o and give i. 3486 Express (2*t - 5*t + 2*t)*(-2762*t**3 + 3255*t**3 - 1525*t**3 - 3) as m*t**3 + b*t**2 + u*t**4 + i*t + g and give i. 3 Rearrange 182*d - 41895*d + 19899*d to p*d + i and give p. -21814 Express (3*k - 3*k - 3*k)*(6 + 1 - 4)*(4*k - 4*k - 2*k)*(-52*k + 86*k + 126*k) as d*k**3 + o*k**2 + s*k + b and give o. 0 Rearrange x**2 - 69855 - 1042*x + 300*x + 69855 to l + q*x**2 + z*x and give z. -742 Express -833*t + 126*t + 3031*t as h + x*t and give x. 2324 Rearrange (2 - g + 0*g - g)*(1 - 194*g + 1399*g + 0) + 4 - 3*g**2 + g**2 - 5 - 4*g to j*g**2 + i*g + t and give t. 1 Express (-50*l - 25*l - 43*l)*(-32*l + 31*l + 5 - 1) in the form i*l**2 + p*l + a and give i. 118 Rearrange (0*u + 3*u - 5*u)*(-6*u - 68*u - 150*u)*(-11 + 1 - 1 - 31)*(-9 + 3*u + 9) to the form b*u + m*u**2 + o + c*u**3 and give c. -56448 Express 51*r**3 - 1549 - 73*r**3 + 1519 as d*r + c*r**2 + f*r**3 + o and give o. -30 Express (-172*g + 5*g + 550 - 544)*(5 - 17 + 23 + 18) as i*g + b and give b. 174 Rearrange 33*i**3 + 101*i**3 - 8696*i**2 + 1 + 23*i**3 + 11*i + 8696*i**2 to the form b + r*i**3 + p*i**2 + v*i and give p. 0 Express (75 - 118 - 30 + 10*t)*(0 - 2 + 0) in the form n + o*t and give o. -20 Rearrange -192 - 3811*c**2 + 1236*c**2 + 1232*c**2 + 2*c + 1341*c**2 + (-2*c - 3*c + 7*c)*(-5 + 5 - 2*c) to j*c**2 + h*c + f and give f. -192 Express (0 - 254*v - 2 + 287*v)*(17*v - 4*v - 3*v)*(-3 + 2 + 5) in the form d*v + w + a*v**2 and give d. -80 Express (137 + 2743*w - 111 - 26)*(26 - 26 - 10*w) in the form p + b*w**2 + m*w and give b. -27430 Rearrange (122 + 758 - 289 + 349)*(67 + 16*c - 67) to n*c + t and give n. 15040 Rearrange (-304*o**2 + 304*o**2 - 23*o**3)*(2 - 2 - 3) + 8*o**3 - 3*o**3 - 51*o**3 to y*o**3 + j*o + q + h*o**2 and give y. 23 Express (-1 - 2 + 5)*(2*r + 2*r - r)*(8 - 6 + 0)*(13 - 9 + 30 + (-2 + 2 + 1)*(3 + 4 - 4)) in the form q + m*r and give m. 444 Rearrange -52*r**3 + 357*r**2 + 20*r**3 - 4 + 3 - 356*r**2 to s*r**3 + i*r**2 + v + c*r and give v. -1 Express (-5 + 0 - 1)*(91*p**2 - 58*p**2 - 63*p**2)*(0 + 1 - 7) in the form k*p + g + d*p**2 and give g. 0 Rearrange (7*u - u - 3*u)*(2*u + 0*u - 4*u**2 + 2*u**2)*(-311*u - 25*u + 32*u) to y*u**2 + v + h*u**3 + x*u + t*u**4 and give t. 1824 Express 269 - 135 + 450*o + 347*o - 134 in the form c*o + d and give d. 0 Rearrange (-g - 2*g**3 + g)*(0 + 0 - 8) - 21428*g + 21428*g - 930*g**3 - 2*g**2 - 3 - 1 - 2*g**3 + 0 to the form z + q*g + a*g**3 + i*g**2 and give z. -4 Rearrange (-7 - 12 + 7)*(-13*q + 23*q - 17*q)*(3 - 4*q - 3) to the form z*q + w*q**2 + t and give z. 0 Rearrange 199*j**2 + 44*j**4 - 43*j**4 - 205*j**2 - 1 + 0*j + 5*j + 2*j**3 to w + h*j**2 + d*j**4 + v*j**3 + o*j and give d. 1 Rearrange -608*i**2 - 597*i**2 + 204*i + 1203*i**2 - 18*i**3 to x*i + l + c*i**2 + j*i**3 and give x. 204 Express t**4 - 374 + 48*t - 391 + 756 as l*t + r*t**4 + c*t**3 + h + f*t**2 and give l. 48 Express (2 - 1 - 6)*(0 + 2 + 0)*(-4217 + 4217 - 6701*o + 1901*o) as d + i*o and give i. 48000 Rearrange (-7 + 3 + 1 + (-1 - 1 + 1)*(-1 - 19 + 5) - 5 + 1 - 5)*(-4*a - 9 + 9) to c + w*a and give w. -12 Rearrange 29*o - 89*o - 7 - 85*o - 19*o - 60*o to c + n*o and give c. -7 Rearrange 9*o**2 + o**3 - 4*o**2 + 13*o**3 + 49 - 7*o**3 - 3*o - 6*o**2 to z*o**2 + d*o**3 + n*o + s and give n. -3 Rearrange (v - 7*v - 17*v)*(0 + 2*v + 0) - 173 - 2*v**2 + 173 + 189*v to h + q*v**2 + l*v and give q. -48 Express 2236 - 4*b**3 + 2235 - 4766 as c*b**2 + w + m*b**3 + i*b and give w. -295 Express 11*b + 8*b + 6*b - 3*b + 10 - 10 + (-2 + 2 - 4*b)*(3 - 1 + 0) + 2*b - 4*b + 4*b in the form i + f*b and give f. 16 Express (5*n + 3*n**2 + n - 7*n)*(-47*n + 24*n - 68*n)*(92*n - 213*n + 202*n) in the form c*n + x + z*n**4 + o*n**2 + v*n**3 and give z. -22113 Rearrange 14*s**2 - 3*s + 3*s**2 + 9*s**3 - s**4 - 1 - 11*s**2 - 4*s**3 - 7*s**3 to the form v*s + k*s**2 + n*s**4 + g*s**3 + f and give v. -3 Rearrange (-4*w**2 + 10 - 10)*(-w - 5*w +
{ "pile_set_name": "DM Mathematics" }
l places. -0.0000001 Let f = 18323.5768627 + -18624.57685. Let v = -301 - f. What is v rounded to six decimal places? -0.000013 Let j = 0.1 - 0.2. Let l = j + 0.12. Let d = 0.019964 - l. Round d to 5 decimal places. -0.00004 Let t(m) = -65001*m**2 + m + 2. Suppose 0 = 4*z + z + 35. Let f = -5 - z. Let v be t(f). Round v to the nearest one hundred thousand. -300000 Let l = 0.614 + -0.61693. Round l to 4 dps. -0.0029 Let o be -22*(-262)/12 + (-77)/231. What is o rounded to the nearest one hundred? 500 Let z = 46254845.4736595206 + 5440.4263342794. Let l = -46260292 + z. Let v = 6.1 + l. What is v rounded to six dps? -0.000006 Let k = -152 + 151.999874. What is k rounded to 5 dps? -0.00013 Let h = -128.00000073 + 128. Round h to 7 decimal places. -0.0000007 Suppose b - 234 = -0*b. Suppose j + b - 18234 = 0. What is j rounded to the nearest ten thousand? 20000 Suppose -34 = -5*x - p, 6*p - 2*p = -5*x + 31. Suppose -2*g + 3500020 = -5*j, 3*g = x*j - 2*j + 5250020. What is g rounded to the nearest one hundred thousand? 1800000 Let x = 1560 + -2367. Let m = 798.82 + x. Let n = 0.88 + m. What is n rounded to the nearest integer? -7 Let j = 22.00000011 + -22. What is j rounded to seven decimal places? 0.0000001 Let r = -0.122203404 - 59495774.877796596. Let s = r + 59495772.99999976. Let v = -2 - s. What is v rounded to seven dps? 0.0000002 Let a = -97.99999957 + 98. Round a to 7 dps. 0.0000004 Suppose 0 = -2*b - 2*b + 80. What is b rounded to the nearest one hundred? 0 Let h(q) = 5 + 2 - 14*q - 5. Let o be h(3). Round o to the nearest one hundred. 0 Suppose -4*s - 16 = d, 2*s = -0*s - 3*d - 18. Let l be 3/(s/(-2975323)) - 0. Suppose 3*k = 6624677 + l. What is k rounded to the nearest one million? 3000000 Let y = -15.0001 + 15. What is y rounded to four decimal places? -0.0001 Let x = -12.3 + -0.7. Let s = x - -12.9999972. What is s rounded to six decimal places? -0.000003 Let b(g) = 155999*g - 1. Let y be (2 + 0)*1/(-2). Let x be b(y). What is x rounded to the nearest 10000? -160000 Let m = -382470033.4341948 + 381001699.8342. Let l = m + 1468331. Let b = -2.6 - l. Round b to 6 dps. -0.000005 Let t = -0.181 - -1.641. Let f = t - 2.3. Round f to one decimal place. -0.8 Let b = -136 + 136.0000056. Round b to six decimal places. 0.000006 Let i = -0.221692 - -0.31169148. Let z = i - 0.09. Round z to seven dps. -0.0000005 Let n = 72 + -61.2. Let s = n + -4.7. What is s rounded to 0 decimal places? 6 Let k = 18 - 13. Suppose -3*v - v + r = -53363743, k*r - 25 = 0. Let u = -21040937 + v. What is u rounded to the nearest one million? -8000000 Let g = 0 + 1. Let o = g - 1.047. What is o rounded to two decimal places? -0.05 Let l = 5.2 + -5.146. Let z = -3.12538 - -3.18. Let o = z - l. What is o rounded to 4 decimal places? 0.0006 Let l = 24.67703 - 117.67596. Let z = -93 - l. Round z to 4 dps. -0.0011 Suppose -u - c = -90998, 0 = 5*u + 3*c + 71996 - 526990. Round u to the nearest 10000. 90000 Suppose -2*d + 14650 = -4700. Suppose d + 80325 = -5*p. Round p to the nearest 10000. -20000 Suppose -1476 = -u + 16524. Suppose -2*t - 2*t = -u. What is t rounded to the nearest one thousand? 5000 Let y = -0.42 - -0.4199976. What is y rounded to 6 decimal places? -0.000002 Let p(v) be the second derivative of v**5/2 + v**4/12 - v**3 + 4*v**2 + 6*v. Let c be p(-8). What is c rounded to the nearest 10000? -10000 Suppose 19649 = -s + t - 1357, 5*s = 4*t - 105025. Let d be (-4)/20 + s/(-5). Round d to the nearest one thousand. 4000 Suppose 0*m = -m + 2. Suppose n = m*n - 2*l - 20004, 0 = 5*n + 4*l - 99992. What is n rounded to the nearest one hundred thousand? 0 Let i = -4.95724 - 0.04196. Let x = i - -5. Round x to 4 dps. 0.0008 Suppose -141000 = -7*h + h. What is h rounded to the nearest 10000? 20000 Let t(m) be the third derivative of 325*m**4/6 + m**2. Let u be t(4). What is u rounded to the nearest one thousand? 5000 Let i = -34.9999984 + 35. What is i rounded to six decimal places? 0.000002 Let a = 2.2 + -2.5. Let t = 0.3 - a. Round t to the nearest integer. 1 Suppose t = x - 11, -3*x = -4*t - 19 - 13. Suppose 0 = -3*a - x - 6. Let d be ((-27)/a)/((-3)/(-400)). What is d rounded to the nearest 100? 600 Suppose -5*k = 5*d - 8*k + 775000, 2*d + 310000 = 3*k. What is d rounded to the nearest 10000? -160000 Let y = -881660 + 881646.00046. Let k = -14 - y. Round k to 4 decimal places. -0.0005 Let t = -93 + 92.937. Let u = t - -5.163. Let f = u - 5.61. Round f to one decimal place. -0.5 Let n = -861.74 - -854. Let p = -36 - -28. Let c = p - n. What is c rounded to one decimal place? -0.3 Let d = 24 - 24.00007. What is d rounded to four dps? -0.0001 Let u = 6.06 - 0.66. Let v = 5.39999889 - u. What is v rounded to seven dps? -0.0000011 Let w = -110.3 + 106. Let v = 9 - 14. Let q = w - v. Round q to the nearest integer. 1 Suppose 30 = 3*p - 6. Suppose -3*n + p = 0, n - 33219867 = -4*w + 24780137. Round w to the nearest one million. 15000000 Suppose 4*w = -5*a - 1182, -2*a - 4*w + w - 470 = 0. What is a rounded to the nearest ten? -240 Let j = -1.1 - -1. Let n = j + -1.38. Let c = -1.4800067 - n. Round c to six decimal places. -0.000007 Let y = 1 - -0.5. Let d = y - -73.5. Let c = d + -74.9999883. What is c rounded to six dps? 0.000012 Let c = -5 - -4.97. Let x = 4.97 - c. Let m = x + -5.00000021. Round m to 7 decimal places. -0.0000002 Let x be 4/18 + (-326625)/27 + -3. Round x to the nearest 1000. -12000 Let m be ((-10)/(-6))/(3/9180027). Let i be (3 - (-2 + 1)) + -1. Suppose -5*n + i*a + 25500009 = 0, -n = -8*a + 3*a - m. Round n to the nearest 1000000. 5000000 Suppose -3*w = z - 580559 + 193561, 5*w - 2*z = 645004. Round w to the nearest 10000. 130000 Suppose 5*a + 4365 = 2*o + 2*o, -5453 = -5*o + 3*a. What is o rounded to the nearest 100? 1100 Let u = 0.810000338 + -0.81. What is u rounded to seven dps? 0.0000003 Let a = 0.025 + -40.025. Let w = a - -62. Let c = w - 21.99991. What is c rounded to five dps? 0.00009 Let c = -17 - -7. Let h(s) = -s**2 - 2*s - 12. Let u be h(c). What is u rounded to the nearest 10? -90 Let r = -5.1 + 2.98. What is r rounded to zero decimal places? -2 Let w(o) = -o**3. Suppose y - 2*r = -5, 12 = -2*y + 2*r + 3*r. Let t be w(y). Suppose d + t + 4 = 0. What is d rounded to the nearest ten? -10 Let d = 0.13 - 0.015. Let i = d + -0.01. What is i rounded to 2 dps? 0.11 Let w = 1035.12300018 + -1035.323. Let o = 0.2 + w. What is o rounded to seven decimal places? 0.0000002 Let y = -2.6 + 2.5942. Round y to 3 dps. -0.006 Let u(s) = -56333*s + 1. Let z be u(-3). Round z to the nearest 10000. 170000 Let o = 4.11 + -0.11. Let m = -13 - o. Let y = 23.7 + m. Round y to the nearest integer. 7 Suppose -49023 = -3*i - j - 337027, -i = 4*j + 96016. Round i to the nearest ten thousand. -100000 Let q = 116.999652 + -117. What is q rounded to 5 decimal places? -0.00035 Let o = 0.023699739 - 0.0237. What is o rounded to seven dps? -0.0000003 Let z = 16.59854 + -16.6. What is z rounded to four dps? -0.0015 Let h = -821739 + 1791739. Round h to the nearest one hundred thousand. 1000000 Let v = 4.394 - 9.9. Let y = 0.134 - v. Let a = 0.14 - y. Round a to zero dps. -6 Suppose 0 = 5*h - 25 - 0. Suppose 4*k = -h*l + 1935 + 3570, k + 4*l = 1390. Round k to the nearest one hundred. 1400 Let o = -24 - -22.9. Let w = o - 0.4. Round w to 0 dps. -2 Let v be 96/7 + (-10)/(-35). Let i be (16/6)/(v/21). Suppose g - i = -5. What is g rounded to one decimal place? -1 Suppose -h - 5 = -3*y + 4, 0 = -2*h. Suppose -5*u = 10, y*o + 4910 = -2*u + 7*u. What is o rounded to the nearest 100? -1600 Let d = 12173534 + -12173583.00101. Let v = 137 - 88. Let k = v + d. What is k rounded to 4 decimal places? -0.001 Suppose -5*k = 355409 + 374276. Suppose -3*r - r + 367748 = 0. Let y = r + k. What is y rounded to the nearest 10000? -50000 Let j(k) = 2*k**3 - 2*k**2 - 4*k - 2. Let t(h) = -h**3 + 3*h**2 + 4*h + 1. Let v(b) = 3*j(b) + 4*t(b). Let u be v(-4). What is u rounded to the nearest 100? -100 Let v = 210.6849 + -210.5. Round v to 2 decimal places. 0.18 Let d = 0.38 + -0.2. Let t = 2254958.1799993 + -2254958. Let s = t - d. What is s rounded to seven decimal places? -0.0000007 Let v = 43.00000602 + -43. What is v rounded to seven decimal places? 0.000006 Let r = -0.01 + 0.118. What is
{ "pile_set_name": "DM Mathematics" }
72*c**2 wrt c? 228*c**3 What is the first derivative of 783*x - 162 - 912*x + 821 wrt x? -129 Let y(q) = -5*q**5 - 82*q**3 - 389*q**2. Let r(h) = -14*h**5 - 246*h**3 - 1166*h**2. Let n(l) = 4*r(l) - 11*y(l). Find the third derivative of n(p) wrt p. -60*p**2 - 492 Let i(j) be the third derivative of -9*j**8/28 - 29*j**5/15 - 91*j**2. Find the third derivative of i(b) wrt b. -6480*b**2 Suppose -2*l + 10 = 2. Suppose -3*j = -2*c + 25, c - l*j - 52 = -3*c. Find the second derivative of c*h**4 + 7*h + 13*h**4 - 22*h**4 wrt h. 60*h**2 Find the third derivative of 13*q**2 - 25 - 4*q**4 + 42 + 4*q**4 + 41*q**5 - 23 wrt q. 2460*q**2 Find the third derivative of 240*j**2 + 4*j + 28*j**5 - 59*j**5 - 237*j**2 wrt j. -1860*j**2 Let j(v) be the first derivative of -73*v**3/3 + 39*v**2 - 61. Find the second derivative of j(z) wrt z. -146 Let n be (8/(-22))/((-4)/22). Find the first derivative of -n - 4 + 1 - 656*g**3 + 655*g**3 wrt g. -3*g**2 What is the third derivative of 105*c**2 - 13*c**3 + 393*c**2 + 90*c**3 + 149*c**3 - 11*c**3 wrt c? 1290 Let r(j) be the first derivative of 11/2*j**2 + 2 - 6*j. Differentiate r(x) wrt x. 11 What is the third derivative of 0*o**2 - 213*o + 2*o**2 + 221*o + 10*o**3 - 188*o**4 + 180*o**4 wrt o? -192*o + 60 Let s(t) = -79*t**2 - 10*t + 94. Let l(a) = -77*a**2 - 8*a + 95. Let i(g) = 4*l(g) - 3*s(g). What is the first derivative of i(c) wrt c? -142*c - 2 Let i be (-5 - 3)/((-2)/1). Let s = 0 + i. What is the derivative of -s*c + 1 + 5 - 3 wrt c? -4 Find the first derivative of -2*c - 21*c**2 + 28*c**2 + 13*c**2 + 9 + 16*c**2 - 4*c**2 wrt c. 64*c - 2 Let m(v) = -127*v + 7. Let o be (-20)/6 + 4/12. Let p be m(o). Differentiate 4 - p*u**4 + 375*u**4 + 3 with respect to u. -52*u**3 Let q = 16 - 7. Find the second derivative of q*f + 3*f + f + 22*f**3 - 8*f**3 wrt f. 84*f Let i(g) = -2*g**3 + 4*g. Let p(c) = -312*c**3 + 68*c + 2. Let t(o) = 4*i(o) + p(o). Find the second derivative of t(w) wrt w. -1920*w Find the third derivative of 490*z**2 - 807*z**2 + 0 - 101*z**4 + 211*z**4 + 0 wrt z. 2640*z Let n(c) = 3*c**2. Let i be n(-2). What is the second derivative of 18*d**3 - 26*d**3 + 0*d - i*d wrt d? -48*d Let u(h) = 8*h**4 + 2*h**3 - 12*h**2 - 6*h + 7. Let c(l) = -l**4 - l**3 + l**2 - 2*l - 1. Let j(n) = 2*c(n) + u(n). Find the second derivative of j(t) wrt t. 72*t**2 - 20 Let t(c) = -379*c + 632. Let v(g) = -378*g + 624. Let u(d) = 5*t(d) - 4*v(d). What is the first derivative of u(a) wrt a? -383 Suppose 7*v - 11*v = 0. What is the derivative of 6 + 0*k + v*k + 150*k**3 - 152*k**3 wrt k? -6*k**2 Let s(y) be the third derivative of 115*y**9/252 + y**5/20 + 17*y**3/3 - 2*y**2 - 59. What is the third derivative of s(b) wrt b? 27600*b**3 Let r(y) be the first derivative of 29/4*y**4 + 14*y**2 + 0*y + 0*y**3 - 7. What is the second derivative of r(a) wrt a? 174*a Let a(g) = 3*g**3 - g**2. Let x(o) = 630*o**3 + 2*o + 25. Let y(b) = a(b) - x(b). What is the second derivative of y(t) wrt t? -3762*t - 2 Suppose 4*y - 11 = 21. What is the first derivative of -8 + 28*v - y*v - 10*v wrt v? 10 Let g = 132 + -225. Let l be 12/8 + g/(-6). What is the third derivative of 8*c**2 + 17 - 3*c**6 - l wrt c? -360*c**3 Let d be -3 + -3 + (-21)/(21/(-8)). Let u(o) be the second derivative of 2*o**3 + 10*o + 0 - 3/2*o**d. Find the first derivative of u(x) wrt x. 12 Let d(u) = -u**3 - u. Let j(w) = -6*w**3 + 3*w. Suppose 144 = -s - 7*s. Let a(y) = s*d(y) - 2*j(y). Find the second derivative of a(x) wrt x. 180*x Find the third derivative of 94*a**3 + 167*a**2 + 122*a**2 - 124*a**2 wrt a. 564 Find the second derivative of 100*u - 153*u - 160*u**2 + 64*u + 86*u wrt u. -320 Differentiate -68 + 297*v - 54*v + 14 wrt v. 243 Let w(k) = k**3 + 3*k**2 + 42. Let f be w(0). What is the second derivative of -30*h - f*h**2 - 6*h**4 + 42*h**2 wrt h? -72*h**2 Find the third derivative of -84*p**4 + 929*p**2 + 5*p**3 - p**3 - 8*p**3 + 4*p**3 wrt p. -2016*p Let g(u) = -u**2 + 17*u + 40. Let t be g(19). What is the second derivative of -19*v - 21*v**3 + v**3 + t*v**3 - 2*v**3 wrt v? -120*v Let w(j) be the second derivative of 0*j**2 + 0*j**4 + 0 - 16/15*j**6 - 1/3*j**3 - 41*j + 0*j**5. What is the second derivative of w(u) wrt u? -384*u**2 Let r(z) be the second derivative of -z**6/30 + 7*z**5/5 + 6*z**4 + 44*z + 2. What is the third derivative of r(v) wrt v? -24*v + 168 Find the third derivative of 483*s**2 - 904*s**4 + 323*s**4 - 60*s**2 wrt s. -13944*s Suppose h + 3 = 0, -t = -2*t - h - 1. Find the third derivative of 29*z**2 - 45*z**t - 17*z**6 + 21*z**2 wrt z. -2040*z**3 Let q(l) be the second derivative of 0 + 0*l**2 - 13/12*l**4 + 0*l**3 - 8*l + 1/42*l**7 + 0*l**5 + 0*l**6. What is the third derivative of q(c) wrt c? 60*c**2 Let d(v) be the first derivative of 6*v**5 + 71*v**2/2 - 11. Find the second derivative of d(a) wrt a. 360*a**2 Let w(a) be the third derivative of a**9/42 + 2*a**5/15 + 11*a**3/6 - 443*a**2. Find the third derivative of w(j) wrt j. 1440*j**3 What is the third derivative of -13*g + 2*g**4 - g**4 + 42*g**3 - 214*g**2 + 215*g**2 wrt g? 24*g + 252 Let l(m) = -12*m**4 - 10*m**3 + 3*m**2 + 5*m - 203. Let h(u) = 18*u**4 + 16*u**3 - 5*u**2 - 8*u + 305. Let a(k) = 5*h(k) + 8*l(k). Differentiate a(v) wrt v. -24*v**3 - 2*v Suppose 90 = 4*p + 3*f, -3*f + 6*f = 4*p - 102. What is the first derivative of -1 + 0 + 16*y**2 - p*y**2 wrt y? -16*y Suppose -t + 5*t - 16 = 0. Suppose 9 = t*v - 7. Differentiate v - 5*p - 6 + 7 with respect to p. -5 What is the derivative of 3*c - 105*c**2 - 2*c - 79 + c + 68*c**2 wrt c? -74*c + 2 Suppose 2*r - d = 5*r - 21, -2*d + 26 = 4*r. Find the third derivative of 2*c**2 - r*c**2 - 21*c**2 - 10*c**5 - 7*c**5 wrt c. -1020*c**2 Let l(q) be the third derivative of -q**9/18 + q**6/120 - 11*q**5/20 + 36*q**2. Find the third derivative of l(f) wrt f. -3360*f**3 + 6 Let d be (-5 + 3)/((-2)/3). What is the third derivative of -5*k**4 - 11*k**4 + 27*k**4 + 14*k**2 + d*k**4 wrt k? 336*k Let n(j) = -j - 11. Let r be n(-16). Suppose 0 = r*z - 1 - 9. Differentiate 365 + 3*a**z + 0*a**2 - 371 + a**2 wrt a. 8*a Let b = -12 + 16. What is the derivative of -2*j - 1 - 3 + 0 + b*j wrt j? 2 Suppose 3*r + 5 = -g - 4*g, -5*r + g + 29 = 0. Find the first derivative of -4*j - 7*j + 3*j - 13 - r*j wrt j. -13 Let b(f) = 31*f**4 - 3*f**3 + 2*f**2 - 6*f - 43. Let l(h) = -h**3 - h - 4. Let n(u) = b(u) - 6*l(u). What is the third derivative of n(j) wrt j? 744*j + 18 Find the third derivative of 29*l**4 + 257*l**2 - 355*l**2 - 26*l**4 - 10*l**3 + 2 wrt l. 72*l - 60 Suppose 28 = 2*w - 4*s, -w + 6 = -3*s - 13. Suppose -25 = w*h - 97. What is the second derivative of 7*k - 8*k**4 + 18 - h wrt k? -96*k**2 Let j be 1/5 + 68/10 + -2. What is the third derivative of -j*b**2 + 9 + 14*b**2 - 19*b**4 - 9 wrt b? -456*b Let z(u) be the first derivative of -25*u**3/3 - 35*u**2/2 - 2*u - 163. Find the second derivative of z(q) wrt q. -50 Let q be (-3 - 51/(-12))*-4. Let k be 14/5 - q/25. Find the second derivative of -f - 3*f + 6*f + 4*f**k - 3*f wrt f. 24*f Let c(a) = -55*a - 156. Let q(z) = 110*z + 318. Let h(d) = -5*c(d) - 3*q(d). Differentiate h(i) wrt i. -55 Let t be (-12)/(-16)*(-18 - -22). Let q(n) be the third derivative of 0*n + 0 + 0*n**4 - 12*n**2 + n**t + 1/60*n**5. Differentiate q(l) wrt l. 2*l Let d(i) be the third derivative of 0*i**4 + 0 + 0*i + 0*i**3 - 5/168*i**8 - 23/60*i**5 + 0*i**6 + 19*i**2 + 0*i**7. What is the third derivative of d(u) wrt u? -600*u**2 Let d be (45/(-12))/(-2*(-12)/(-64)). What is the third derivative of -23*y**3 - 115*y**4 + 54*y**4 - d*y**2 + 62*y**4 - y wrt y? 24*y - 138 Suppose -3*t + 0 = -6. Suppose r - 3*x = -0*r - 13, 0 = t*r - 5*x + 21. Find the second derivative of -4 + 10 + h**2 - r*h - 6 wrt h. 2 Suppose -3*d - 25 = 2*d, 4*k - 18 = 2*d. Suppose 3*h + 1 = 16. Find the third derivative of 2*i**2 + i**k - 3*i**h - i**2 wrt i. -180*i**2 Let a(x) = x**3 + 6*x**2 - 8*x + 7. Let p be a(-7). Let h be (-4)/p - (-23)/7. What is the second derivative of -4*v**3 - v + h*v + v wrt v? -24*v Let i(v) = -4*v**3 - 12*v**2 - 8*v + 2. Let t be i(-1). Let y(j) be the first derivative of 7*j - 7 - 11/2*j**t. Find the first derivative of y(p) wrt p. -11 Let v = 35 + -32. What is the second derivative of v + 19*y**4 - 234*y - 3 + 216*y wrt
{ "pile_set_name": "DM Mathematics" }
9 Divide -312 by 2. -156 414 divided by 3 138 Divide -952 by -1. 952 Calculate -1512 divided by 7. -216 Calculate -6820 divided by 22. -310 2565 divided by -855 -3 Divide 3 by 180. 1/60 Calculate 0 divided by -62. 0 Divide 1 by -22. -1/22 What is 9405 divided by -11? -855 What is -1550 divided by 5? -310 -7999 divided by -421 19 What is 40 divided by 10? 4 Divide -486 by 5. -486/5 Divide 6250 by 1250. 5 Calculate -451 divided by 6. -451/6 Calculate -230 divided by 29. -230/29 What is -160 divided by -5? 32 Divide -84 by -14. 6 Calculate -336 divided by -6. 56 Calculate 5 divided by 8. 5/8 What is -714 divided by -6? 119 Divide 0 by -54. 0 What is 1170 divided by -10? -117 Divide 3 by 65. 3/65 230 divided by -10 -23 Divide 2636 by -1318. -2 Calculate 2 divided by 855. 2/855 -61 divided by 3 -61/3 Divide -28 by -176. 7/44 Divide 3656 by 1828. 2 What is 3 divided by -254? -3/254 What is 12066 divided by -6? -2011 What is 8 divided by -15? -8/15 1 divided by -43 -1/43 What is 73324 divided by -4? -18331 What is -30 divided by 6? -5 -14 divided by 18 -7/9 Divide -1 by 1046. -1/1046 Divide 18001 by 1. 18001 -1 divided by 7 -1/7 What is -1 divided by 14? -1/14 2 divided by 11 2/11 What is 5610 divided by -10? -561 What is -1326 divided by -442? 3 Divide 0 by -74. 0 -784 divided by 7 -112 Calculate -338 divided by -3. 338/3 Calculate 1 divided by 232. 1/232 Divide 39 by 2. 39/2 819 divided by 117 7 -12807 divided by -2 12807/2 Divide 17 by 38. 17/38 Divide -1300 by 4. -325 -4 divided by 300 -1/75 1341 divided by 5 1341/5 What is -132 divided by -6? 22 What is 18774 divided by -6? -3129 Divide -16 by 16. -1 Divide 0 by -678. 0 What is 180 divided by -4? -45 Divide -1020 by 5. -204 Divide 80900 by 4. 20225 -437 divided by 6 -437/6 What is -310 divided by -5? 62 5844 divided by -1948 -3 What is 155 divided by -1? -155 Calculate 29 divided by 40. 29/40 Divide 88 by -22. -4 What is -2112 divided by 2? -1056 Calculate -187 divided by -5. 187/5 What is -35 divided by 15? -7/3 -292 divided by 4 -73 Calculate -1 divided by 74. -1/74 -2352 divided by 4 -588 -84 divided by 84 -1 Calculate 31 divided by 9. 31/9 -2 divided by 449 -2/449 -10280 divided by -5 2056 Divide -14226 by 4742. -3 Calculate 25 divided by 54. 25/54 What is -210 divided by 105? -2 1008 divided by -144 -7 4698 divided by -18 -261 631 divided by 5 631/5 Calculate -202305 divided by 5. -40461 Divide 144 by 144. 1 Divide 1680 by 21. 80 Calculate -4629 divided by 5. -4629/5 What is -15 divided by 35? -3/7 -5 divided by 254 -5/254 Divide -1522 by -4. 761/2 Divide 6 by 65. 6/65 What is 1548 divided by -387? -4 What is 0 divided by 201? 0 Divide 2236 by -559. -4 Divide 10368 by 6. 1728 Divide -3774 by 34. -111 What is 2 divided by -11? -2/11 301 divided by 1 301 Divide -10750 by -43. 250 What is 2215 divided by -2215? -1 Divide -7 by -22. 7/22 Divide 11 by -199. -11/199 916 divided by -20 -229/5 What is 324 divided by -6? -54 What is 3321 divided by -123? -27 What is -828 divided by 207? -4 Divide 54 by -3. -18 What is 4 divided by 1148? 1/287 Calculate -2268 divided by -84. 27 What is -124 divided by 7? -124/7 What is -7498 divided by 2? -3749 2356 divided by 4 589 Divide -1 by 133. -1/133 Calculate 12 divided by 80. 3/20 Divide 168 by 84. 2 64 divided by 4 16 What is -18685 divided by 5? -3737 Calculate 309 divided by -3. -103 Calculate 12721 divided by -2. -12721/2 Calculate -13416 divided by -129. 104 374 divided by 3 374/3 Calculate -5752 divided by 8. -719 2904 divided by -1452 -2 What is -154 divided by 154? -1 Calculate -1397 divided by 4. -1397/4 What is -49076 divided by 4? -12269 What is -2996 divided by -1498? 2 What is 57 divided by 6? 19/2 -1 divided by -25 1/25 Calculate 3117 divided by 5. 3117/5 Calculate -2 divided by 60. -1/30 -560 divided by -14 40 What is -1996 divided by -499? 4 What is 1520 divided by 1? 1520 What is -5 divided by 30? -1/6 5 divided by 338 5/338 186 divided by -2 -93 -2 divided by 2 -1 Calculate -589 divided by 3. -589/3 Calculate 4988 divided by 2494. 2 -387 divided by -129 3 Calculate 493 divided by -29. -17 Divide 1911 by -2. -1911/2 -207 divided by -3 69 6 divided by 38 3/19 Divide 11886 by -14. -849 What is 136 divided by -15? -136/15 What is -218 divided by -80? 109/40 172 divided by 4 43 4762 divided by 6 2381/3 Divide 11 by 116. 11/116 0 divided by -773 0 Calculate 1386 divided by -3. -462 Divide -30 by -5. 6 -6 divided by -610 3/305 Divide -458 by -3. 458/3 Calculate 25 divided by -6. -25/6 Divide 6 by 72. 1/12 Calculate -1659 divided by -79. 21 11748 divided by -2 -5874 20 divided by 16 5/4 Calculate -306 divided by 1. -306 What is -4419 divided by 491? -9 0 divided by -368 0 3 divided by -127 -3/127 Calculate 1639 divided by -1. -1639 Calculate -2871 divided by 99. -29 -454 divided by -1 454 Divide -192 by -64. 3 Calculate -60 divided by -6. 10 Divide -4740 by 1. -4740 Calculate -2 divided by -160. 1/80 What is 57498 divided by 3? 19166 -469 divided by 7 -67 Calculate 1 divided by -2955. -1/2955 What is 259 divided by -1? -259 0 divided by -1234 0 Calculate -2 divided by 44. -1/22 -5 divided by 584 -5/584 Divide -4 by -914. 2/457 Calculate -170 divided by 17. -10 Divide -14 by -7. 2 -3 divided by 616 -3/616 Calculate -1139 divided by -1. 1139 Calculate 62 divided by -1. -62 -508 divided by -1 508 Divide -28 by 1. -28 Calculate 20 divided by 592. 5/148 Calculate 49 divided by -2. -49/2 What is 57 divided by -19? -3 What is 1340 divided by -1340? -1 Divide -2226 by 371. -6 -1765 divided by 1 -1765 Divide 170 by 5. 34 154 divided by -14 -11 -792 divided by 132 -6 26 divided by 12 13/6 Calculate -2 divided by -156. 1/78 985 divided by 197 5 What is 5 divided by 756? 5/756 2055 divided by -411 -5 1880 divided by 5 376 -10792 divided by -2698 4 1440 divided by -45 -32 What is 15 divided by -10? -3/2 2918 divided by 1 2918 Calculate 485 divided by 97. 5 Divide 4 by 1. 4 Calculate 448 divided by 64. 7 Divide -387 by -3. 129 Calculate 8 divided by 1364. 2/341 -28 divided by -85 28/85 1 divided by 62 1/62 What is 10530 divided by 390? 27 Calculate 5 divided by 43. 5/43 Divide -16922 by -2. 8461 What is 1 divided by 384? 1/384 460 divided by -46 -10 Calculate 31 divided by 24. 31/24 Calculate -1040 divided by 13. -80 Calculate 992 divided by 62. 16 260 divided by -52 -5 -1416 divided by -472 3 26 divided by 14 13/7 Calculate 0 divided by 112. 0 Divide 9 by 7. 9/7 -971 divided by -2 971/2 What is 5 divided by -3527? -5/3527 What is -373 divided by 4? -373/4 Divide -7 by 29. -7/29 What is -9 divided by -46? 9/46 Divide 5 by 21. 5/21 -519 divided by 4 -519/4 Divide 615 by -205. -3 Calculate -552 divided by 92. -6 -38 divided by -19 2 Calculate 54 divided by -54. -1 4 divided by -114 -2/57 Calculate -52 divided by -2. 26 What is 0 divided by 111? 0 What is -63 divided by 225? -7/25 Divide -270 by 54. -5 Divide 14400 by -40. -360 Calculate 8498 divided by 607. 14 -3 divided by -30 1/10 Divide 216 by 18. 12 Calculate -176 divided by -3. 176/3 What is -50 divided by 11? -50/11 Divide -4 by 2180. -1/545 1 divided by -3766 -1/3766 Calculate 400 divided by 6. 200/3 Calculate -4 divided by -1. 4 4220 divided by -20 -211 What is -63 divided by 2? -63/2 Divide -2499 by 51. -49 What is -2450 divided by 98? -25 What is -464 divided by 8? -58 Divide 544 by -136. -4 4 divided by 61 4/61 Divide -35 by -43. 35/43 43461 divided by 3951 11 Divide -1880 by 1. -1880 What is -1 divided by 1216? -1/1216 -2 divided by -2275 2/2275 Divide -533 by 2. -533/2 Divide 1 by 4. 1/4 Divide -7 by 43. -7/43 -5247 divided by 1749 -3 Calculate -96 divided by 6. -16 Calculate -5312 divided by 7. -5312/7 Calculate -20 divided by -1. 20 Calculate -31 divided by 42. -31/42 Calculate -440 divided by -44. 10 Calculate -6741 divided by -749. 9 -1596 divided by -3 532 Divide 28705 by -3. -28705/3 -991 divided by 18 -991/18 Divide 1986 by -5. -1986/5 What is -222 divided by -37? 6 Divide 4 by 109. 4/109 0 divided by 3599 0 What is 2158 divided by -3? -2158/3 -4 divided by 37 -4/37 1496 divided by -136 -11 Divide 2940 by 588. 5 566 divided by 2 283 What is 18 divided by -1? -18 -30 divided by 90 -1/3 Divide 10637 by -11. -967 -1652 divided by 826 -2 Divide -2658 by -2. 1329 Calculate 1 divided by 26. 1/26
{ "pile_set_name": "DM Mathematics" }
est value in b, o, k? b Let x = -2553.93 + 2569. Let g = 0.07 - x. What is the fourth biggest value in g, 0.5, 1, 5? g Let r be (9/4)/(-3) + 1. Let y = -1122 + 1122.2. Which is the second smallest value? (a) r (b) -2/5 (c) y c Let o = 2.6 - -2.4. Let a = -3 + o. What is the third smallest value in a, 7/6, 0.4? a Let w = -49.6 + 48. Let x = w - -2.3. What is the fourth biggest value in -2, 5, -1, x? -2 Let d be (-2 - (-2)/2)*-5. Suppose -d*y + 0*y = 5. Let l be 2 + y*(-19)/(-11). Which is the biggest value? (a) l (b) -0.4 (c) -3/4 a Let y = 83 - 585/7. What is the smallest value in y, -1, -6? -6 Suppose -2 + 0 = -t, -5*i + t = 22. Let j be 4 + 175/(-20) - (-1)/i. Which is the second biggest value? (a) -4 (b) j (c) 0.8 a Let f = 882 - 882.1. Let o = 1 - 0.99. Which is the smallest value? (a) f (b) -1/4 (c) o b Let y = 6379/5 - 1275. Let j = -1 - -3. Which is the smallest value? (a) 7 (b) y (c) j (d) 0.3 d Let o = 113.71 - 115. Let z = 0.71 - o. Let s be (-8)/(-3) + (5 - 7). Which is the second biggest value? (a) s (b) 5 (c) z c Suppose 9*g + 2*i - 6 = 7*g, g + 5*i = -5. Which is the second biggest value? (a) -100 (b) 0.1 (c) g b Suppose 2*q + 6 = 0, 16*f + 4*q = 15*f - 8. What is the third smallest value in -2, 5, 1, f? f Let a = 0.0573 - 0.1573. Let w(c) = c**2 + c - 1. Let o be w(2). What is the third biggest value in o, a, -2/7? -2/7 Let w = -25.4 - 0.6. Let o = -24.98 - w. Let z = 0.02 - o. What is the smallest value in -2/7, z, -4? -4 Let u = 19/14 - 11/21. Let r be 1 - (-314)/4*2. Let w = r - 787/5. What is the second biggest value in u, -1, w? w Let o = 3481/4 - 869. Which is the second smallest value? (a) -2 (b) -1 (c) o b Let m = 65.036 + -0.036. Let j = -68 + m. Let x = -22/9 + 97/36. What is the smallest value in j, 4, x? j Let k = 524.86 - 532. Let l = k - -7. What is the smallest value in 2/5, l, -2? -2 Let p = -0.462 + 0.462. Let t = 0.5 - 2.5. Which is the second smallest value? (a) -1 (b) t (c) p a Let l = 4.895 - -0.105. Let y = -1.9 + 1.4. What is the smallest value in -0.1, l, y? y Let y be 99/33 + (-1)/2 - 2. What is the biggest value in -16, y, 1/5? y Let r be 3/(-15) + 33/15. Suppose -5*g + 18 = -r. Suppose 4*p - 16 = g, -2*i - 2*p = -10. What is the third smallest value in -4/7, 0.09, i? 0.09 Let l = 1.1 - 0.1. Let o = -25661 + 25656. Which is the second smallest value? (a) 0.5 (b) o (c) l (d) 4 a Let s = 0.2447 - 0.0447. Let o = -1 - -2. Let z = 16 - 11. What is the third biggest value in z, o, s? s Let a = 0.0591 - 0.0591. What is the third biggest value in -1, 4/5, a? -1 Let l = 304.1 + -304. What is the second biggest value in 0.2, -13/4, l, -1/6? l Let o = 2174.2 - 2174. Let q = 1 - -3. Suppose -30 = q*y - 5*t, -y + 3 = 5*t - 2. What is the second smallest value in o, y, 5? o Suppose r - 4*j + 15 = -3*j, -4*r + 2*j - 50 = 0. Let w be (-609)/(-378)*(-6)/r. Let p = w - -8/15. Which is the smallest value? (a) p (b) -0.3 (c) -5 c Let i(g) = -5*g**3 - g**2 - g - 1. Let u be i(-1). Suppose 29 = -u*n + 1. Let a = n + 2. What is the biggest value in 1, 0.3, a? 1 Let r = 35.8689 - -0.1111. Let n = r + -36. Which is the smallest value? (a) 0.3 (b) 0.2 (c) n c Let n = 388 + -391. Suppose -4*g + 10 = -74. Which is the biggest value? (a) 0.4 (b) g (c) n b Let a = 866 - 221. Let y be 4/3 + a/(-450). What is the second biggest value in y, -0.2, -3/4? -0.2 Let j be (14*(-18)/315)/((-2)/(-20)). Let r be ((-15)/(-18))/((-2)/6). Which is the second smallest value? (a) r (b) 0.1 (c) -5 (d) j c Let a(m) = 16*m - 24. Let w be a(0). Let t be 5 + 0 + 116/w. Let c = 2 + -2.1. What is the second smallest value in c, 2, t? t Let t = -0.21 - 3.79. Which is the second biggest value? (a) t (b) -1/4 (c) 6/13 b Let x = -47 - 53. Let o = -197/2 - x. What is the third biggest value in 30, 0.1, o? 0.1 Let i be (-158)/395 + 12/(-45). Which is the second biggest value? (a) -76 (b) i (c) 3 (d) -0.3 d Let h = -567 - -565. Let r = 6 - 4. Which is the biggest value? (a) r (b) h (c) 0 (d) -4 a Let p = 3.898 + 0.102. Which is the second smallest value? (a) p (b) 6/5 (c) 0 b Let t = -2/31 - 52/155. What is the second smallest value in 4, 3, 6, t? 3 Let s = 2.1 - 1.23. Let v = s + -0.57. What is the second biggest value in 3, v, -5? v Suppose 72*n - 19*n = 106. Let j = 8 + -20. Let u be (-2)/4*j/(-42). What is the third smallest value in 0.3, u, n? n Let y be 6/88*13/39. Which is the biggest value? (a) 4 (b) -2/7 (c) y a Let f = -14.82 - -18.82. What is the third smallest value in -60, f, -0.5? f Let m be 54*(-4)/16*2. Which is the third biggest value? (a) 2 (b) -2 (c) m c Let h be 1*((-66)/(-12))/(1/2). Let l = -5.3 + 5. Which is the biggest value? (a) 1 (b) l (c) h c Suppose -161 = 7*i - 154. What is the smallest value in 1, i, 2/11? i Let t = 9 - 12. Let z = t + -7. Let j = 13 + z. What is the third biggest value in -0.5, j, -2? -2 Let z = -504 + 504.5. Which is the biggest value? (a) z (b) 3/2 (c) 3 (d) -16 c Let u be 30/28 - 16/28. What is the second biggest value in 22, 5/4, u, 2? 2 Suppose -3*a = -5*i + 18, 2*i + 0*i + 5*a - 1 = 0. Suppose -2*s - i = -5. Let t be 17/4 - s/4. What is the second smallest value in t, -5, 3? 3 Let a = -0.223 - 0.077. What is the smallest value in 66, 2/7, a? a Let r = 82.7 + -83. What is the smallest value in -0.05, r, -5? -5 Let l(a) = 2*a**3 - 37*a**2 + 14*a + 73. Let v be l(18). Suppose n + 5 = 1. What is the biggest value in -0.7, n, v? v Let d = -1.8 - -6.8. Let n = 5.13 - d. Let v = n + -0.03. What is the third smallest value in 1/3, v, -0.1? 1/3 Let g = -81/154 - 1/22. What is the third biggest value in 21, g, 0.09? g Let t = 7.84 + 0.26. What is the third smallest value in t, 0.3, 2/9? t Let j = -0.1315 - -0.0315. What is the biggest value in j, 1/4, 0.28, -4? 0.28 Let h = -0.079 - -0.021. Let c = h + -0.942. What is the biggest value in c, 0.06, -4? 0.06 Let p(m) = -m**2 - 11*m - 2. Let q be p(-11). Let n = 6 + q. Suppose -n*z + z = 3. What is the smallest value in z, 5, -0.4? z Let x = 0.035 + 0.465. What is the fourth smallest value in -0.3, 31, 2/13, x? 31 Let y = -24 - -26.1. Let p = y + -2. Let a = -0.5 + p. What is the third smallest value in 5, a, -5? 5 Let i(p) = 2*p - 30. Let j be i(13). Which is the fourth smallest value? (a) 2 (b) j (c) 4/11 (d) 0 a Suppose -d = 5, -4*d + 685 = 6*z - z. Let g = 281/2 - z. What is the second smallest value in g, 9, -2/3, 0.1? g Let d = -1.98 + 0.98. What is the third smallest value in -2, d, -6/7? -6/7 Let a = -16.6 - -13.6. What is the second biggest value in 3/41, a, -0.1? -0.1 Let d be (1/4)/((-63)/(-1260)). What is the second smallest value in 4/55, -0.2, d, -1? -0.2 Let f = -4/3 + 2/3. Let i(l) = -l**2 - 5*l - 1. Let g be i(-4). What is the second biggest value in g, f, 2? 2 Let l = -28 + 55. Let x = l + -19. Let b = -7.9 + x. What is the second biggest value in b, 2/9, 0.3? 2/9 Let w be (3 - -1) + (-53)/13. Let l(k) = -2*k + 12. Let f be l(5). Which is the biggest value? (a) f (b) 0.1 (c) w a Let p be (-1)/(-3) - 13/(-6). Let x = -0.033 - 2.667. Let c = -3.1 - x. What is the smallest value in c, 0.4, p? c Let l = 0.043 - 45.043. Let s = l + 44. What is the second smallest value in -0.1, 5/3, s, -13? s Let j = -0.2 + 1.2. Let h be ((-3)/(-2))/(147 - 145). Which is the fourth smallest value? (a) j (b) h (c) -5 (d) 0.2 a Let z = 1.849 - -62.151. What is the biggest value in 2, 3, z? z Let s(o) = -2*o. Let f be s(2). Let q be (1020/45 + -10 - 12)*1/(-3). Which is the third biggest value? (a) q (b) f (c) 1 b Let o = 3.4 + -3.3. Let u = 0.5 - o. What is the third biggest value in -5, u, -0.01? -5 Let s = -0.9 - -1. Let f = s - 0.2. Let t = 1614 - 1616. Which is the biggest value? (a) f (b) t (c) -4 a Let i = -0.309 + 0.009. Which is the second smallest value? (a) 22 (b) 4/3 (c) i (d) -0.5 c Let i = 490 - 492. Which is the second smallest value? (a) i (b) -3 (c) 3/7 a Let z = 5 + -8. Let x = 4 + -5. Let y = x + z. Which is the second biggest value? (a) 0.3 (b) y (c) 1 a Let p = 0.248 + 4.752. Which is the fourth biggest value? (a) 2/7 (b) p (c) -5 (d) -3 c Let p(s) = 2 - 7 + 2 - 4 - s**2 - 3*s. Let f be p(-2). Let i = -2/15 + -8/165. What is the smallest value in 1, f,
{ "pile_set_name": "DM Mathematics" }
1. Let f = v - 0. Let a = 2 + -8/3. Is a >= f? True Let t(r) = 9*r + 42. Let o be t(11). Are o and 144 non-equal? True Let l be (-4 - 5*-2)*1. Suppose -4*f + 2*c + 6 + 6 = 0, 2*c - l = -2*f. Suppose f*x + 2*x = 0. Is -2/13 bigger than x? False Suppose 2*a + 2 = -2. Let k be (0 + (-212)/12)/1. Let y = k + 17. Which is bigger: y or a? y Suppose 3*j + 3 = -0*j. Let z be j/(-2) + (-21)/28. Which is smaller: z or -0.8? -0.8 Let k = 471679 - 43865708/93. Let r = 21391/394413 + -2/4241. Let h = r - k. Which is greater: -4 or h? -4 Let f be (-85)/44*100/250. Are f and -1 non-equal? True Let d be (-6)/130*2/(6/(-3)). Is -3 equal to d? False Let k(v) = -v - 4. Let o be k(-16). Let l be -1*-1*o/68. Let u(c) = -c**2 - 2*c - 1. Let t be u(-2). Is l at least t? True Let g be (135/12)/((-10)/40). Let d = -0.04 + -0.16. Does g = d? False Suppose 2*h + 5*c = -2, 4*h = 3*c - 2 - 2. Suppose 0 = 5*d - 15 - 10. Suppose 0 = 3*j + 1 + d. Is h <= j? False Let k be 5 + -1*(-420)/(-85). Let h be ((-3)/6*-2)/(-1). Let x be (-1)/(h + (-2 - -2)). Is x less than or equal to k? False Let k = -55 + 14. Let p = k - -36. Let u be 7/(-2) - (2 - 1). Do p and u have the same value? False Suppose 0 = r - 2*r + 3. Suppose 2*w - 5*j = -5 - 19, -2*w - 4*j + 12 = 0. Which is smaller: w or r? w Let z = 523 + -1059. Is z at least as big as -535? False Let m = -45 - -36. Let u be (-12)/(-8)*(-12)/m. Which is smaller: u or -0.7? -0.7 Suppose 4*n - 57 = l, -2*n - 2*l = -6*n + 54. Which is greater: 14 or n? n Let m = -1/16 - -9/16. Let y be (1104/(-64))/((-9)/24). Which is greater: y or m? y Let z = -4 - -49. Let s = -282 - -326. Is z greater than or equal to s? True Let o = -855 + 888.08. Let n = o + -33. Which is bigger: 0 or n? n Let g be (-58)/87 - (-1 - 44/(-141)). Which is smaller: 0 or g? 0 Let z(f) be the third derivative of -f**5/60 + f**4/4 - f**3/2 + f**2. Let k be z(2). Suppose -k*p = -p. Is p greater than or equal to 1? False Suppose -10 = 23*t - 28*t. Let r be (2/5)/(6*t/420). Is 15 bigger than r? True Let d(w) = -w**3 - 14*w**2 + w + 17. Let q be d(-14). Suppose -4 = -q*v + 7*v. Let x be 2 + -46*8/180. Is x less than or equal to v? False Let z = -2.303 + 0.003. Let v = 0.1 - z. Let n = -2.3 + v. Is 2/7 greater than or equal to n? True Let n be ((-113)/(5 + -6))/(5/(-10)). Is -229 at most as big as n? True Let x be (3/(-645))/(8/(-20)). Is x < 1? True Suppose 7*x = 4*x - 9. Let i be (0 - x) + (-1 - -5). Is i < 10? True Let y = -83.3 - -79. Let n = y + -0.7. Let r = 0.1 - 0.1. Which is greater: n or r? r Suppose 12*h - 20 = -20. Which is greater: 12/319 or h? 12/319 Suppose 10*j + 12 - 52 = 0. Suppose i + 20 = -j*i, -4*i - 20 = 4*w. Which is greater: w or 3/115? 3/115 Let g = -70 - -71. Let x = -1/84 + 173/420. Which is bigger: x or g? g Let y be 2/(-21)*(-4 + (-39)/(-12)). Do 0.2 and y have different values? True Let b = 47 + -99. Let g = b - -258/5. Let h = 1.6 - 2. Is g greater than or equal to h? True Let k be (-3260)/6*(-96)/80. Let x = k - 58679/90. Is x at most as big as 1? True Suppose -3*s + 8 + 1 = 3*v, v = -4*s + 9. Does 1/72 = v? False Suppose 0*a - a + 2 = 0. Let b be (-5)/10*a/(-1). Do -2/83 and b have the same value? False Let g = 62 + -42. Suppose -3*s = 43 + g. Is -22 smaller than s? True Let l = -13.7 - -14.7. Is l at most 6/29? False Let j(w) = -2*w**2 + 34*w + 5. Let u be j(17). Let o = -5 - -7. Suppose 0*r - 5*r + u*x + 5 = 0, 3*r + o*x = 23. Do 3 and r have the same value? False Let s be 0 + 0 + (-2)/(-70). Let n = 3308 - 3307. Are n and s non-equal? True Let c be 0 + -6 + -3 + 0. Suppose 3*j = -0*p - 5*p + 35, -3*p - 2*j = -20. Let t be (8/p)/((-6)/75). Is c smaller than t? False Let z = 0.144 + -0.054. Let w = 2.924 + -0.024. Let o = w - 3. Is o greater than or equal to z? False Suppose -7*u = u + 24. Let z be (12/(-18))/((-1)/u). Is z greater than or equal to -3/2? False Let t = -29728/2805 + 350/33. Is -1 smaller than t? True Let c = -47695 + 21847. Let g = c + 1576890/61. Let y = -2/183 - g. Which is smaller: y or -3? -3 Suppose -7*y + 6 = -5*y. Suppose 61 = 2*k + y*q, k - 2*q + 84 = 4*k. Suppose -3*l - 16 = k. Are l and -14 non-equal? False Let g(m) = m**2 + 8*m - 10. Let x be g(-9). Let k = 32/115 - 9/115. Is k not equal to x? True Let m be (-12)/24 + 6/4. Let r = -19 - m. Let w be -2 - (r/(-5) + -6). Which is smaller: w or -1? -1 Suppose 6*i - 103 = 2*i - 3*q, -2*q = -2*i + 62. Suppose -i = -y - 2*w - 2*w, y - 3*w - 7 = 0. Let c be 118/(-8) - 4/y. Which is greater: -14 or c? -14 Let s(f) = 10*f - 89. Let z be s(9). Is z bigger than 3/56? True Suppose -2*a + d + 135 = 0, 2*a + d = 83 + 46. Do 61 and a have the same value? False Let o be (-84)/(-16)*878/(-3). Let i = o + 1565. Is 30 greater than or equal to i? True Suppose -5*p + 13 = -5*q - 2, -q - 21 = 5*p. Let l(m) = -2*m - 11. Let i be l(q). Which is greater: i or 0? i Let f(v) = -3*v + 30. Suppose -6*h + i + 40 = -2*h, -2*i = 5*h - 50. Let a be f(h). Is a > -3/10? True Let d = -77 - -76. Let w be 3 - 2 - d - 2. Let c be (-128)/(-270) - (-6)/(-15). Is w > c? False Let l = 2 + -1.92. Let u = -0.14 + l. Let a be (-4 + 14)/(-5) + 27/12. Which is greater: u or a? a Let g = -7.02 - -0.02. Let t(l) = -l**3 - 11*l**2 + 22*l + 2. Let f be t(2). Which is greater: f or g? f Let r be (-11)/33 + (-11363)/48. Suppose 0 = -6*w + 4*w - 474. Let x = r - w. Is 1 < x? False Let s = -0.4 + 1.8. Let t = -316.7 - -318. Let n = t - s. Which is greater: 3/4 or n? 3/4 Let x be (-20 - -21)/(1/(-54)). Let t be ((-4)/(-8))/(3/x). Let l = t + 0. Is 2/5 at most l? False Let r = -59 + 39. Let p = r + 19. Does -1/2 = p? False Let o = -6.87 + 7.31. Is 0.5 less than or equal to o? False Suppose j - 6 = 3*j. Let z = 19 - 68. Let q be 21/z - (-4)/(-7). Is q bigger than j? True Suppose x - 9 + 18 = 0. Let j = -6 + 10. Suppose j*t + 20 = -20. Are x and t equal? False Let f be (-6 + (-287)/(-35))/((-2)/(-10)). Suppose -5*c - 6 = m, -6*m + f*m + 5*c = -90. Which is greater: m or -19? -19 Let d = -249/8789 + -104045003/281248. Let p = -370 - d. Which is greater: p or 0? 0 Suppose 71 = -r + 16. Let a be (2/(-4))/(r/(-22)). Is a > 0.01? False Let u = 55 - 43. Suppose u*b = 5*b + 168. Which is bigger: b or 23? b Let j be (-1)/(-4) + 6/16. Let w(h) = h**2 + 2*h. Let d be w(-3). Suppose 4*q + 3*b - d = 2*b, 3*b - 9 = -q. Which is smaller: q or j? q Let p(b) = b**2 + 7*b + 4. Let s be p(-7). Suppose 5*t + 9 = 3*x - 8, -s*x - 2*t = 12. Is x >= 3/23? False Suppose -3*s - 400 = -11*s. Let l = s - 50. Is l at least -6? True Let v(a) = 3*a**2 - 6*a + 66. Let h be v(16). Is 738 greater than h? False Suppose 9*q = -2221 - 5177. Is q < -822? False Suppose -4*j - p = -194, 3*j - 94 = -p + 51. Let o = 16 - j. Let m = 42 + o. Is 10 > m? True Let p be (-3)/(-6 - 90/(-12)) - 19. Which is smaller: p or -12? p Let u = 142 + -137. Is -7 at most as big as u? True Let h = 489/112 - 31/7. Let p = -73/144 - h. Do 1 and p have different values? True Let j = 5.62 - 9.3. Let l = j - 0.32. Which is smaller: l or 1/4? l Let q = 10 + 0. Let w(r) = -r**3 + 11*r**2 - 10*r - 2. Let m be w(q). Is -8/15 bigger than m? True Let i be -7 + 14 - (-2)/(-1). Let q be (15 - i)/2 - 2. Which is smaller: q or 11/5? 11/5 Suppose c + 3*y = 2*y + 465, 2*c + y = 926. Is -2/3 smaller than c? True Let r be (-34)/65*(-8 + 13). Which is smaller: -4 or r? -4 Suppose 3*t + 4*h = 40, -3*t - 3*h - 17 = -56. Suppose 0*m + 3*m + t = 0. Which is bigger: -3 or m? -3 Suppose 14 = 16*b + 30. Which is smaller: -6/665 or b? b Let g = 781 - 5476/7. Which is greater: 0 or g? 0 Let w be (-219)/10 - 6/60. Which is smaller: w or -23? -23 Let n(m) = -253*m + 2. Let w be n(-5). Let o = 59547/47 - w. Suppose -2*b = b - 3. Which is greater: o or b? b Let p = 307 - 274. Let r = 411 + -442.7. Let u = p + r. Are -1 and u non-equal? True Let j be (1 - 13)*11 + 9 + -10. Which is bigger: -398/3 or j? -398/3 Let v = 0.6 + 0.4. Let y = -0.9 + v. Let x = -547/3878 - 1/554. Which is smaller: x or y? x Let b = 275 - 408. Which is smaller: -128 or b? b Let q be 1/(2/34*1). Let k be 1/(-16) - (-1734)/96. Is k less than q? False Let r be (-1 - 2/(-6))*(-6255)/104667. Which is smaller: r or 0? 0 Let r be 4 + 1/(-1) - (-1332216)/(-45016). Let f = -452/17 - r. Which is smaller: f or 0? 0 Let l(b) = -2*b**3 + 12*b**2 - 5*b
{ "pile_set_name": "DM Mathematics" }
Give g(m). 3 Suppose -i = j + 4, 4*j - 3*i + 21 = -9. Let m(r) = r**2 + r - 8. Determine m(j). 22 Let v = 12 - 6. Suppose 20 = -r + 5*s, -15 = -3*s - 0*s. Suppose -n = 3*c + 3, -9 - v = 4*c + r*n. Let o(f) = -f + 4. Give o(c). 4 Let w(f) = f**2 - 2. Let n(u) = -u - 3. Let j be n(-5). Suppose j - 4 = -h. Suppose -5*z + h*o - 2 = 0, -2 - 2 = 2*z - 4*o. Give w(z). -2 Let o(l) = -l**2 + 5*l + 7. Let d(g) = -g + 5. Let v be d(-2). Determine o(v). -7 Let b(q) = -q**2 + q - 1. Let v(h) = 2*h + 2*h**2 - 1 - 2*h - 3*h**2. Let c(i) = -2*b(i) + 3*v(i). Calculate c(-1). 0 Let l(b) = 3*b + 2. Let f = -20 + 17. What is l(f)? -7 Let o(q) be the first derivative of -q**4/4 + 2*q**3/3 - q**2/2 + 2*q - 1. What is o(2)? 0 Let z(g) = -g**2 - 5*g + 3. Suppose -5*t = 4*v - 6*v - 35, 3*v + 5*t - 10 = 0. What is z(v)? 3 Suppose 9 = 3*r, 0 = w + 2*r - 10 - 10. Suppose -4*m - 2 = -w. Let f(g) be the second derivative of g**3/3 - 3*g**2/2 + g. Calculate f(m). 3 Let m(t) be the third derivative of t**6/120 - t**5/15 + t**4/12 + t**3/3 + 4*t**2. Let r be m(2). Let p(z) = z**3 + 4*z**2 + z + 2. Determine p(r). 8 Let t(y) be the second derivative of y**8/1120 + y**7/2520 - y**4/12 + 8*y. Let d(u) be the third derivative of t(u). Calculate d(-1). -5 Let g(m) = -5*m**3 + m**2 - 2. Let i(o) = -20*o**3 + 4*o**2 - 9. Let h(x) = 9*g(x) - 2*i(x). Let w be (1/3)/(1/(-3)). What is h(w)? 6 Let z(m) = m + 1. Let c(h) = 2*h - 5. Let o(s) = -c(s) - 6*z(s). Suppose g = -13 + 14. What is o(g)? -9 Let s(q) be the second derivative of q**5/12 - q**4/24 - q**3/6 - q**2 + q. Let i(y) be the first derivative of s(y). Determine i(-1). 5 Let t(i) = -7*i**2 - 2 - 3*i**3 - 6*i + 5*i**3 - i**3 - 3. What is t(8)? 11 Suppose c - 5 = -0*c - 2*f, -f + 6 = 4*c. Let t(q) = -7*q**2 - q + 1. Determine t(c). -7 Let y(u) be the first derivative of -u**2/2 - u - 5. Let p = -8 - -6. Calculate y(p). 1 Let y = 28 - 32. Let j(n) = -n**3 - 5*n**2 - 3*n - 4. Determine j(y). -8 Let g(d) = -2*d. Suppose 0 = -4*y + 4, -4*k - y = -3 - 6. Suppose k*i - 5 = -3*i. Let m be i/(-2) + 6/(-4). Determine g(m). 4 Let l(z) be the second derivative of -2*z**3 - 3*z**2/2 + 5*z - 4. Give l(-2). 21 Let t(s) = s**3 - 2*s**2 - 7*s + 6. Suppose -5*o + 22 = 2*i, -4*o - o - 3*i + 23 = 0. What is t(o)? 10 Let i(y) = -4*y**2 + y. Suppose -2*x = 3*a - 10, -3*a - 6*x = -x - 7. Let b be ((-4)/(-5))/(2/5). Suppose -6*z = -b*z - a. Give i(z). -3 Let w(i) = 1 - 1 - 2*i. Let q be -3*(-3 - 2/(-6)). Suppose 4*y = 3*v + 6 + q, 0 = y - 2. What is w(v)? 4 Let d(x) = -2*x + 9. Let n be 8 - ((-2 - -2) + 2). Let z be d(n). Let y(l) be the second derivative of -l**5/20 - l**4/3 - l**3/3 - l**2 - l. Determine y(z). -5 Let o(r) = -r**2 + 9*r - 4. Let p be o(8). Suppose -2*c = -3*a - 5 - 4, 4 = -p*a. Let v(k) = 2*k**2 - 3*k - 4. Calculate v(c). 5 Let b be 4/(-3)*(-4 - -1). Let u(a) = -6 + 4*a**2 + 2*a + b + a**3 + 0*a**3. Suppose 3*m = -r + 3, 3*r + 3*m - 2 = -5. Calculate u(r). 1 Suppose 0 = w + 2*w + 4*s - 19, 2*w - 5*s + 18 = 0. Let k(r) = -r**2 - r + 1. Calculate k(w). -1 Let z(g) = g**3 + 6*g**2 + 5*g - 3. Let f be 5 + (-2)/6*-3. Suppose -f = w + 6. Let h be 40/w*3/2. Give z(h). -3 Let x be 3*(-1*3)/3. Let r = -2 - x. Let y(v) = v**2 - 2*v. Give y(r). -1 Suppose -3*k = -6, -14 = -3*y + 3*k + 2*k. Let l(r) be the third derivative of r**4/24 - r**3 + 4*r**2. Determine l(y). 2 Let n(r) = -r**3 - 6*r**2 + 6*r - 4. Let g(d) = -8*d**2 - 6*d - 9. Let h be g(-8). Let z be (-1)/(-6) - h/(-66). What is n(z)? 3 Let d(s) be the second derivative of s**5/20 + 5*s**4/12 + s**3/2 + 2*s**2 + 8*s. Give d(-4). 8 Suppose -5*c = 15 + 5. Let z(q) = q + 8. Let u(r) = r + 9. Let y(m) = -3*u(m) + 4*z(m). Calculate y(c). 1 Let t = -1 - -7. Let u(k) = k - 6. Determine u(t). 0 Let w(d) = 3*d - 3. Let u(i) be the third derivative of -i**4/24 + i**3/6 - i**2. Let y(s) = -5*u(s) - 2*w(s). What is y(-2)? 3 Let g(i) = -i**2 + 3*i + 4. Let b(m) = m + 9. Let k be b(0). Let x = 27 - k. Suppose -2*p = -5*v + 14, 3*v - x = -2*p - 0. What is g(v)? 0 Let g(p) be the second derivative of -p**6/720 - p**5/60 + 7*p**4/12 + 4*p. Let c(z) be the third derivative of g(z). Determine c(-3). 1 Let x(q) = -q**2 + 4*q - 4. Suppose -18 = 10*i - 13*i. Suppose -n - i = -3*n. Give x(n). -1 Let y(q) = -17*q**3. Let x = 71 + -70. Give y(x). -17 Suppose u + 28 = -u + 3*z, 4*z + 8 = -3*u. Let a = -9 - -3. Let j = a - u. Let o(w) = w**3 - 2*w + 1. What is o(j)? 5 Let h = 6 - 3. Let k(u) = -1 - h*u - 4*u**2 + 5 - 2*u**3 - 3 - 2. Determine k(-2). 5 Let u = 90 + -86. Let g(b) = b**2 - 8*b. What is g(u)? -16 Let t(y) = -y + 1. Suppose -79 = -5*a + 4*m, 0 = 3*a + 2*a - 3*m - 78. Suppose 5*b = r - 25, -5*b = 3*r - 2*b + a. What is t(r)? 1 Suppose -3*c - 12 - 9 = 0. Let j(n) = -5*n + 3. Let q(i) = 2*i - 1. Let w(g) = c*q(g) - 3*j(g). Calculate w(5). 3 Let u(h) be the second derivative of 5*h**3/6 + 7*h**2/2 - 29*h. Determine u(-6). -23 Let d(k) be the first derivative of k**3/3 + 5*k**2/2 - 6*k + 1. Suppose 8*m - 78 = 21*m. Determine d(m). 0 Let i(h) = -h**3 - 10*h**2 - 6*h + 27. Let f be i(-9). Let q(u) = u**3 + u**2 + u - 1. Calculate q(f). -1 Let v(l) = -10*l - 1. Suppose 0 = -5*z + 5*w - 30, 2*z + 3*z + 25 = 4*w. Calculate v(z). 9 Let b(v) = v - 3. Let r be b(12). Let m(y) = -1 - r - 4*y + 9. Determine m(2). -9 Let l be (0 - -1)/((-3)/9). Let f(i) = -3*i**2 + 1 - i**2 + i + 3*i - i**3 + 3*i**2. Give f(l). 7 Let s(c) = 5*c + 1. Let q be ((-44)/(-10) - 4)/(4/(-10)). What is s(q)? -4 Let c(u) be the first derivative of -u**2 + 3*u + 112. Let t(y) = y**3 + 5*y**2 + 2*y - 5. Let s be t(-4). What is c(s)? -3 Let z(q) be the third derivative of -q**6/60 + q**5/30 + q**4/8 - q**3/3 - 10*q**2. Calculate z(2). -4 Let m(k) = 0*k - 2*k - 2 + 3*k. Let o = 1 - 3. Calculate m(o). -4 Let h be (2 - 10) + -4 + 2. Suppose -3*k = -i - 18, 0*i - 5*k - 10 = i. Let s = h - i. Let p(u) = -2*u + 6. Calculate p(s). -4 Suppose 4*p + 2*q + 2 = 0, -2*p + 4*p - 11 = 3*q. Let j(o) = -7*o**3 + o - 1. Give j(p). -7 Let k = 7 - 11. Let h(z) = -z**3 - 5*z**2 - 3*z + 3. What is h(k)? -1 Let j = -213 - -210. Let k(d) = -d**3 + 1 - 3*d**2 - 6 + 4 + 3*d. Calculate k(j). -10 Let f(o) = 2*o**2 - 12*o - 10. Let c be f(7). Suppose x + c*x + 10 = 0. Let u(s) = 2*s**2 + s - 2. Determine u(x). 4 Let u(z) = 2*z + 10. Let f(c) = 1. Let k(p) = 6*f(p) - u(p). Let a be 19/7 + 2/7. What is k(a)? -10 Let w(r) = -r**2 + 1. Let j(h) = h**3 + 7*h**2 - 8*h - 9. Let y(s) = j(s) + 3*w(s). Give y(-5). 9 Let q(t) = -t**2 + 6*t + 9. Let k be q(7). Let m(l) = l**3 - 6*l**2 + 2*l + 1. What is m(k)? -11 Suppose 2*s - 3*t - 7 = 0, -4 = -3*s + 3*t - 1. Let q(h) = -h**2 - 3*h - 1. What is q(s)? -5 Let c(j) = -j**3 - 23*j**2 - 4. Let i be c(-23). Let k(y) = -y**2 - 2*y + 4. Calculate k(i). -4 Let r be 36/12*(1 - 3). Let m(o) = 5*o + 7. Determine m(r). -23 Let h(z) be the first derivative of -2/3*z**3 + 0*z**2 - 1/40*z**5 + 1 - 1/360*z**6 + 0*z + 5/24*z**4. Let m(n) be the third derivative of h(n). What is m(-5)? -5 Let n(k) be the third derivative of k**4/24 - 5*k**3/6 + 2*k**2 + 14*k. Suppose -m = -3*m - 6, 5*m = 5*g + 30. Let y be 2/4 - g/(-2). Give n(y). -9 Suppose -16 = 2*w - 0*r + 4*r, 2*r + 2 = -4*w. Let t(x) = 0*x**3 - 5*x**3 - 7 - x**3 - 6*x**w - 8*x + 5*x**3. Calculate t(-5). 8 Let u(w) = -w**2 + w. Let c(r) = -r**2 - 6. Let p(v) = c(v) - 2*u(v). Give p(5). 9 Let d(x) = -x**3 + 8*x**2 - 8*x - 2. Suppose -7*r + 0*r + 49 = 0. What is d(r)? -9 Let w(d) = d**2 - 6*d + 3. Let y = 5 - -2. Calculate w(y). 10 Let p(l) = -l**2 - 7*l + 3. Let m(s) = 2*s**2 + 15*s - 5. Let q(c) = -2*m(c) - 5*p(c). Calculate q(-6). 1 Let t(u) = -3*u**2 - 6*u - 5. Let c(h) = -5 + 0 - 7*h - 3*h**2 - 1. Let o(s) = -6*c(s) + 7*t(s). Let j = -1 + 2. Determine o(j). -2 Let c(n) = -5*n**2 + 3*n + 1. Let s(j) = 4*j**2 - 2*j - 1. Let i(b) = -3*c(b) - 4*s(b). Calculate i(-2). -1 Let i(t) = -3 - 4*t**3 + 2 - 9*t**3 - t. What is i(-1)? 13 Let u(a) = a**3 + 12 + 0*a**2 - 10*a - a**2 + 11*a. Give u(0). 12 Let t(z) be the second derivative of -z**4/12 - z**3/3 - 3*z**2/2 + 4*z. Let i(x) = x**2 + 2*x. Let k be i(-3). Let y = k + -5. Determine t(y). -3 Let g(l) = -6*l + 4 + 5*l + 7 + 0. Give g(5). 6 Let d(f) = 4. Let i(j) = -j. Let z(v) = d(v) + 2*i(v). Let s be (-2)/2 + -1 + -1. Let r be (8/(-4))/(2/s). Calculat
{ "pile_set_name": "DM Mathematics" }
s the next term in -20, -15, -8, 1, 12? 25 What comes next: 1, -13, -43, -95, -175, -289, -443, -643? -895 What is the next term in -78, -159, -240, -321, -402, -483? -564 What is the next term in 172, 348, 526, 706, 888? 1072 What is the next term in 182, 363, 532, 683, 810? 907 What comes next: -10, -28, -42, -52, -58? -60 What comes next: 29, 65, 89, 95, 77, 29? -55 What is the next term in 497, 992, 1487, 1982, 2477? 2972 What is next in 90, 100, 132, 198, 310? 480 What comes next: -116, -117, -130, -161, -216, -301, -422? -585 What is next in -43, -93, -139, -181, -219? -253 What is the next term in -9, -10, -11? -12 What is the next term in 180, 329, 478, 627? 776 What is next in -39, -140, -309, -546, -851, -1224, -1665? -2174 What comes next: 2509, 5021, 7533, 10045, 12557? 15069 What is next in 216, 237, 258? 279 What is the next term in -103, -203, -313, -439, -587, -763, -973? -1223 What is the next term in 55, 44, 33, 22, 11? 0 What is the next term in -8996, -8995, -8994, -8993? -8992 What is the next term in 7, 23, 39? 55 What comes next: 8, -17, -58, -115, -188, -277, -382? -503 What is next in -14, 195, 762, 1867, 3690, 6411, 10210? 15267 What comes next: 295, 293, 293, 295? 299 What is next in -826, -825, -832, -853, -894, -961? -1060 What is next in -25, -117, -267, -481, -765, -1125? -1567 What is next in 39, 67, 83, 81, 55? -1 What is the next term in 50, 155, 326, 563, 866, 1235, 1670? 2171 What is the next term in -195, -390, -583, -774, -963, -1150, -1335? -1518 What is next in 42, 124, 206? 288 What is the next term in -15, 2, 43, 120, 245? 430 What comes next: -46, -122, -226, -358, -518, -706? -922 What is the next term in 55, 55, 53, 49, 43, 35, 25? 13 What is the next term in 13, 67, 201, 451, 853? 1443 What is the next term in 174, 378, 584, 792, 1002, 1214? 1428 What comes next: 26, 50, 60, 50, 14, -54, -160? -310 What is next in -47, -89, -183, -353, -623, -1017, -1559? -2273 What is next in -2, -11, -36, -83, -158? -267 What comes next: 61, 80, 103, 136, 185, 256, 355? 488 What comes next: -123703, -123699, -123693, -123685, -123675, -123663? -123649 What comes next: -47, -34, -5, 46, 125, 238, 391, 590? 841 What is next in 44, 101, 176, 269, 380? 509 What is the next term in -1, -6, -5, 8, 39, 94, 179? 300 What is next in -5, -22, -39, -50, -49, -30, 13? 86 What comes next: -9049, -9050, -9051, -9052, -9053? -9054 What is the next term in 21, 17, 9, -3, -19, -39? -63 What is the next term in 39, 89, 153, 237, 347, 489? 669 What comes next: 210, 329, 528, 807, 1166, 1605? 2124 What is next in 8, 27, 46, 59, 60, 43? 2 What is the next term in 203, 405, 607, 809? 1011 What is the next term in -95, -155, -215, -275, -335, -395? -455 What comes next: -918, -1840, -2760, -3678, -4594? -5508 What is next in 44, 52, 82, 146, 256? 424 What is the next term in -14, -55, -126, -227, -358? -519 What is next in -16, -22, -28, -34, -40, -46? -52 What comes next: 4, 178, 462, 850, 1336? 1914 What is the next term in -1118, -1100, -1082, -1064, -1046? -1028 What comes next: -37, -56, -95, -160, -257, -392, -571? -800 What is the next term in -29, -46, -45, -20, 35, 126? 259 What is next in -4, -7, -12, -19, -28, -39? -52 What comes next: 52, 48, 44, 40? 36 What is next in -594, -2394, -5396, -9600, -15006? -21614 What is the next term in -1, 27, 75, 143, 231, 339? 467 What is the next term in 6598, 13193, 19790, 26389, 32990? 39593 What comes next: -144, -152, -160, -168, -176? -184 What is next in 122, 65, -38, -193, -406, -683, -1030, -1453? -1958 What comes next: -4118, -8237, -12356? -16475 What is the next term in -34, -78, -124, -172, -222, -274? -328 What is next in 29, 55, 81, 107, 133, 159? 185 What is the next term in 108, 206, 306, 408, 512, 618? 726 What comes next: -2365, -4731, -7097? -9463 What is next in -143, -1138, -3839, -9098, -17767, -30698? -48743 What is next in -1316, -1313, -1310? -1307 What comes next: 2, 11, 20, 29? 38 What comes next: 448, 445, 442, 439, 436, 433? 430 What is the next term in 2, -8, -28, -58? -98 What is next in -38, -73, -108, -143, -178? -213 What comes next: -183, -159, -119, -57, 33, 157, 321, 531? 793 What comes next: 183, 255, 325, 393, 459, 523? 585 What comes next: -11, -25, -39? -53 What is next in -36, -79, -124, -171? -220 What comes next: -454, -1790, -4016, -7132? -11138 What is the next term in 51, 47, 17, -45, -145? -289 What is next in 948, 1900, 2852, 3804, 4756, 5708? 6660 What is next in 109, 220, 333, 448? 565 What is next in -48, -50, -52, -54? -56 What is next in 83, 167, 253, 341, 431, 523? 617 What is next in -68, -66, -64, -62? -60 What is next in -20, -26, -36, -50? -68 What is next in -10008, -10005, -10002? -9999 What is the next term in 3857, 3855, 3853, 3851, 3849? 3847 What comes next: 23, 69, 145, 251, 387? 553 What is next in -41, -82, -115, -140, -157, -166, -167? -160 What is next in 9, 23, 35, 45, 53, 59? 63 What is next in 658, 647, 624, 583, 518, 423, 292? 119 What comes next: 2215, 2218, 2223, 2230, 2239, 2250? 2263 What is the next term in -580, -1156, -1732, -2308? -2884 What comes next: 3160, 6327, 9494? 12661 What comes next: -28, -37, -48, -61, -76, -93? -112 What comes next: 117, 120, 123, 126? 129 What is next in 25908, 25909, 25910, 25911, 25912? 25913 What is the next term in -225, -224, -223, -222, -221? -220 What is the next term in 97, 94, 89, 82, 73, 62, 49? 34 What is next in 0, 5, 24, 63, 128? 225 What is next in 5, 5, 3, -1, -7? -15 What is the next term in -728, -709, -690, -671, -652? -633 What comes next: -60, -57, -52, -45, -36, -25, -12? 3 What comes next: 15, 10, 5? 0 What is next in -1, 6, 13, 20? 27 What is the next term in 15, 49, 131, 285, 535, 905, 1419, 2101? 2975 What is the next term in 1, -2, -5, -8, -11? -14 What is the next term in -73, -79, -69, -31, 47? 177 What is the next term in -36, -36, -48, -78, -132, -216, -336? -498 What is next in -105, -234, -361, -486, -609, -730, -849? -966 What is next in -377, -751, -1125, -1499, -1873, -2247? -2621 What comes next: -120, -238, -356, -474, -592, -710? -828 What comes next: -16, 11, 50, 107, 188, 299, 446? 635 What is next in 60, 121, 182? 243 What comes next: -176, -178, -172, -152, -112, -46, 52? 188 What comes next: -947, -1899, -2859, -3833, -4827, -5847, -6899? -7989 What is the next term in -22, -51, -82, -115, -150, -187? -226 What is next in 26, 34, 36, 32, 22? 6 What is next in -184, -366, -548, -730, -912? -1094 What is the next term in -38, -93, -136, -161, -162, -133, -68, 39? 194 What is the next term in 60, 236, 528, 936, 1460, 2100, 2856? 3728 What is the next term in 860, 3433, 7722, 13727, 21448, 30885, 42038? 54907 What is next in -16, 15, 56, 113, 192, 299? 440 What comes next: 1053, 2110, 3165, 4218, 5269? 6318 What is next in 33, 55, 77, 99, 121? 143 What is next in -107, -431, -971, -1727, -2699, -3887? -5291 What is the next term in -384, -768, -1152? -1536 What comes next: -4968, -9938, -14908, -19878, -24848? -29818 What is next in -396, -794, -1190, -1584, -1976, -2366, -2754? -3140 What comes next: 451, 447, 443, 439, 435, 431? 427 What comes next: 6, 14, 22, 30, 38? 46 What is the next term in -90, -127, -162, -195, -226, -255? -282 What is next in -25, -38, -51, -64, -77? -90 What is the next term in 10, -21, -64, -113, -162, -205, -236? -249 What is next in -25, -23, -15, 5, 43, 105, 197, 325? 495 What comes next: -135, -138, -143, -150, -159, -170, -183? -198 What comes next: -2638, -5277, -7918, -10561? -13206 What comes next: 92, 129, 226, 413, 720? 1177 What comes next: 645, 651, 657, 663, 669? 675 What is next in -64, -58, -40, -4, 56, 146? 272 What is next in 1163, 2312, 3445, 4556, 5639, 6688? 7697 What is next in -14738, -14737, -14734, -14729? -14722 What is next in 18286, 18290, 18296, 18304, 18314, 18326, 18340? 18356 What is the next term in -8, -67, -200, -443, -832, -1403, -2192, -3235? -4568 What comes next: 93, 106, 121, 138, 157, 178? 201 What is the next term in -182, -124, 30, 328, 818, 1548? 2566 What is next in 849, 1697, 2545, 3393, 4241? 5089 What comes next: 3, 32, 81, 150, 239, 348, 477? 626 What comes next: -28, -25, -22? -19 What is next in 39, 161, 355, 615, 935, 1309, 1731, 2195? 2695 What is the next
{ "pile_set_name": "DM Mathematics" }
Let p be (-12)/18 + k/9. Let u(z) = z. Let v(s) = 2. Give p*v(w) - u(w). -w - 2 Suppose -5*p - 3 = 2. Let o(n) = -n**2 - 1. Suppose 23 = 3*q + 5*t, -2*q + 3*q + 4*t - 10 = 0. Let r(x) = -5*x**2 + x - 7. Determine p*r(g) + q*o(g). -g**2 - g + 1 Let t(j) = 4*j**2 + 4*j + 3. Let b(c) = 3*c**2 + 5*c + 2. Determine -3*b(f) + 2*t(f). -f**2 - 7*f Let f(i) = -31. Let d(a) = a**2 - 155. Calculate -2*d(w) + 11*f(w). -2*w**2 - 31 Let h(b) = 6*b**2 - 5*b + 9. Let x(n) = 3*n**2 - 3*n + 5. Give -3*h(p) + 5*x(p). -3*p**2 - 2 Let f(g) = 5*g + 6. Let w(d) = -2 - 2*d + 3 - 3 + 0. Calculate 3*f(x) + 8*w(x). -x + 2 Suppose 5*w + 6 = -14, -4*d - 4*w - 8 = 0. Let j(o) = 0*o**2 + o**2 - 5*o**d - o - 7. Let s(k) = -k**2 - 1. Calculate j(z) - 6*s(z). 2*z**2 - z - 1 Let g(p) be the third derivative of -p**6/30 - p**5/30 - p**3/2 + p**2. Suppose 16 = 4*z - 4. Let s(q) = 9*q**3 + 5*q**2 + q + 7. Determine z*g(u) + 2*s(u). -2*u**3 + 2*u - 1 Let m(g) = -4*g - 4. Let v(y) = -6*y - 6. Determine 8*m(o) - 5*v(o). -2*o - 2 Let f(z) = 15*z**3 - 3*z + 3. Let a(p) = -p**3 + p - 1. Give -3*a(y) - f(y). -12*y**3 Let s(o) = 2*o + 2. Suppose 5*d + 5*v - 5 = -15, 0 = -5*d - v - 14. Let m(w) = 3 + 2 - 1 - 5. Determine d*m(p) - s(p). -2*p + 1 Let u(n) = 13*n - 9. Let h(i) = 7*i - 5. Let f = -15 - -21. Let y(v) = v**3 - 7*v**2 - 10*v + 5. Let l be y(8). Determine f*u(d) + l*h(d). d + 1 Let y(b) be the second derivative of -4*b**3/3 + 5*b**2 + 7*b. Let u(d) = -d + 1. Determine -10*u(v) + y(v). 2*v Let b(o) = -o**2 + 2. Let m(w) = -6*w**2 + 15. Determine 15*b(q) - 2*m(q). -3*q**2 Let j(y) = -2*y + 4. Let q be -13*6/(-3) + -4. Suppose -19 = -l - q. Let k(x) = -2*x + 3. Give l*j(i) + 4*k(i). -2*i Let o(h) = h**3 - h - 1. Let t(u) = -u**3 - 5*u**2 + 6*u - 6. Let p be t(-6). Let v(k) = 7*k**3 - 6*k - 9. Give p*o(j) + v(j). j**3 - 3 Suppose -k - 63 = -4*k. Let w = k - 14. Let n(v) = v - 4. Let j(a) = -3*a + 25. Let d(u) = -u + 8. Let i(o) = 7*d(o) - 2*j(o). Give w*n(b) + 5*i(b). 2*b + 2 Let a(x) = -2*x**2 + 4. Let k(h) = -9*h**2 + 15. Give -15*a(q) + 4*k(q). -6*q**2 Let i(o) = -6764*o. Let f(s) = -41*s. What is 988*f(w) - 6*i(w)? 76*w Suppose -5*l = -4 - 6. Let p(t) = -3*t**3 + 2*t - 2. Let i(d) = d**3 - d + 1. Determine l*i(c) + p(c). -c**3 Let o = -75 - -72. Let y(j) = -10*j**2 - j. Let z(m) = 5*m**2 + m. Let w(q) = 4*y(q) + 7*z(q). Let d(p) = -6*p**2 + 4*p. Calculate o*d(k) + 4*w(k). -2*k**2 Let v(k) = 7*k**3 - 4*k**2 - 6*k + 2. Suppose -14*j + 11*j = 3, 2*j + 12 = 2*w. Let l(b) = -6*b**3 + 3*b**2 + 5*b - 2. Give w*v(d) + 6*l(d). -d**3 - 2*d**2 - 2 Let b(l) = -5*l + 3. Let y(x) = -14*x + 9. Calculate 8*b(d) - 3*y(d). 2*d - 3 Let y(m) = 5*m. Let i(u) = 5*u. What is 5*i(a) - 4*y(a)? 5*a Let s(x) = -8*x**2 - 7*x - 7. Let l = 20 + -17. Let k(j) = -j**2 - j - 1. Give l*s(c) - 21*k(c). -3*c**2 Let r(g) = -8*g**2 - 3*g + 7. Let x(u) = -2*u - 3*u - 10 - 15*u**2 + 23 - u. Calculate 11*r(a) - 6*x(a). 2*a**2 + 3*a - 1 Let z(h) = -9*h**3 - 24*h**2 + 24*h + 24. Let i(w) = 2*w**3 + 5*w**2 - 5*w - 5. Let t(o) = -2*o - 10. Let b be t(7). What is b*i(g) - 5*z(g)? -3*g**3 Let f(h) = -h**2 - 2*h - 2. Let q(b) = -2*b**2 - 4*b - 5. Let w(o) = o**2 + 13*o - 15. Let x be w(-13). Let m = x - -13. Give m*q(p) + 5*f(p). -p**2 - 2*p Let v(b) = 2*b**2 - 3*b - 4. Let f(j) = j + j**2 - 3 + 2*j**2 - 3*j - 2*j**2. Let m be (3/(-3))/(1/(-3)). Determine m*f(p) - 2*v(p). -p**2 - 1 Let c(h) = 8*h + 3. Let d(n) = 15*n + 5. What is -5*c(f) + 3*d(f)? 5*f Let s(b) = -3. Suppose 5*m + x = -16, -5 = 3*m - 2*x + 2. Let t(v) = v - 4. Determine m*t(k) + 4*s(k). -3*k Let i(z) = -2*z**2 - 5. Suppose -2*o - 3*y - 5 = -6*o, 0 = -5*o - 5*y + 50. Let r be 2/8*(2 + 2). Let b(c) = -c**2 + r + 2 - 5. Determine o*b(n) - 2*i(n). -n**2 Let v(f) = -6*f + 16. Let n(h) = -4 + 1 + 2*h - 2. Let w(y) = 11*n(y) + 4*v(y). Let j(d) = -d + 4. Let t be -5 + 0/(1/(-1)). Give t*j(r) + 2*w(r). r - 2 Let a(q) = 2*q + 3. Let d(l) = -2*l - 3. What is 4*a(h) + 3*d(h)? 2*h + 3 Suppose -8 = -2*h - 4. Let f(u) = -u**2 - 5*u. Let j(v) = 9*v + 5. Let g(i) = -5*i - 3. Let z(t) = -5*g(t) - 3*j(t). Determine h*f(y) - 5*z(y). -2*y**2 Let z(y) = -3 - y + 3 + 4 + y**3. Let o(f) = -f**3 - 5*f**2 + 6*f - 2. Let d be o(-6). Let x(c) = -2*c**3 + 2*c - 9. Determine d*x(w) - 5*z(w). -w**3 + w - 2 Let i(n) = 232*n**2. Let y(v) = 33*v**2. What is -4*i(k) + 29*y(k)? 29*k**2 Let b(i) = -i**3 + i**2 - i. Let w(x) = 5*x**2 + 7*x + 6. Let l(f) = -9*f**2 - 13*f - 11. Let k(p) = -6*l(p) - 11*w(p). What is -b(r) - k(r)? r**3 Let z(j) = -j + 5. Let o(f) = 3*f - 3. Let p(r) = -7*r + 7. Let n(l) = -5*o(l) - 2*p(l). Give 4*n(w) - z(w). -3*w - 1 Let u(f) = -15*f**2 - 13. Let l(b) = 4*b**2 + 3. What is -26*l(j) - 6*u(j)? -14*j**2 Let l(z) = 2*z**3 + 2*z - 2. Let q(k) = 4*k**3 + 4*k - 5. Let f(b) = b - 7. Let p be f(0). Calculate p*l(u) + 3*q(u). -2*u**3 - 2*u - 1 Let o(g) = g**2 + 3*g - 3. Suppose -2*z + 3 = 9. Let i(m) be the third derivative of -m**5/30 - m**4/3 + 4*m**3/3 + 2*m**2. Calculate z*i(x) - 8*o(x). -2*x**2 Let s(m) = 4940*m**3 - 304*m**2 + 304*m - 304. Let c(r) = -81*r**3 + 5*r**2 - 5*r + 5. Give -304*c(w) - 5*s(w). -76*w**3 Let f(l) = -l + 7. Let s(c) = -4*c + 21. Give 7*f(p) - 2*s(p). p + 7 Let f(p) = 5*p**2 + 80*p + 8. Let g(l) = -2*l**2 - 27*l - 3. What is -3*f(v) - 8*g(v)? v**2 - 24*v Let r(q) = 304*q. Let f(m) = -32*m. What is -48*f(g) - 5*r(g)? 16*g Let d be (3 + -1)*5/(-2). Let g(t) = 7*t**2 - 4*t - 4. Let k(b) be the second derivative of -b**4/2 + b**3/2 + 3*b**2/2 - b. What is d*g(z) - 6*k(z)? z**2 + 2*z + 2 Let l(m) = -6*m - 6. Let n be 8/(-36) - 248/18. Let a(o) = 2*o + 2. Determine n*a(r) - 5*l(r). 2*r + 2 Let d(u) be the first derivative of -8 + 0*u + 1/2*u**2. Let w(z) = -z**2 - 4*z. Suppose -3*h - 8 = 4*y - 3*y, 3*h - 4*y = -28. Give h*d(s) - w(s). s**2 Let t = -12 + 2. Suppose -17*v + 8 - 59 = 0. Let m(d) = 4*d + 4. Let a(j) = -j - 1. What is t*a(o) + v*m(o)? -2*o - 2 Let h(q) = -5*q + 10. Let x(a) = 1. What is h(m) - 10*x(m)? -5*m Let m = 2 + 6. Let c(w) = 6*w + 2. Let t(z) = z. Give m*t(d) - c(d). 2*d - 2 Let z(p) = 17*p**2 - 15*p + 9. Let o(n) = 0*n**2 - 4 + 7*n + 2*n**2 - 10*n**2. Suppose 2*y - 5 = 7. Calculate y*z(a) + 13*o(a). -2*a**2 + a + 2 Let m(q) = -3*q**3 - 3*q**2 - 2*q - 2. Let a be m(-2). Let p(v) = -v**3 - 5*v + 5. Let x(r) = -4*r**3 - 24*r + 24. What is a*p(l) - 3*x(l)? -2*l**3 + 2*l - 2 Let d(n) = 5*n + 3. Let q(r) = -3*r - 8. Let z(c) = 2*c + 5. Let m(u) = -5*q(u) - 8*z(u). What is -d(s) - 3*m(s)? -2*s - 3 Let h(b) = 57*b. Let u(d) = -57*d. Give 4*h(z) + 3*u(z). 57*z Let a be (-14)/35 - (-22)/5. Let u(o) = -a*o + 7 - 2 + 4*o - o. Let x(d) = 1. What is u(y) - 4*x(y)? -y + 1 Suppose -5*p = k - 4*k + 19, -p = 2*k - 4. Let i(u) = -2*u**2 + u - 1. Suppose -3*c + 0*c = -15. Let x(m) = 4*m**2 - 2*m + 2. Determine c*i(y) + k*x(y). 2*y**2 - y + 1 Let s be (-99)/(-22) + (-6)/4. Suppose 19 - 70 = -s*q. Let d(i) = -i**2 - 4*i - 8. Let c(n) = 3*n**2 + 11*n + 23. What is q*d(x) + 6*c(x)? x**2 - 2*x + 2 Let t(w) = -299*w**2 + 91*w + 91. Let r(s) = 10*s**2 - 3*s - 3. What is -91*r(p) - 3*t(p)? -13*p**2 Let w be (-4)/((9/(-3))/(-3)). Let g(k) = -6*k - 1. Let h(j) be the first derivative of j + 5/2*j**2 - 3. Calculate w*h(n) - 3*g(n). -2*n - 1 Let g = -8 + 12. Let q(o) = o + 1. Let t(y) = -11*y - 11. Let a(l) = 12*l + 12. Let c(i) = 6*a(i) + 7*t(i). Calculate g*q(m) + c(m). -m - 1 Let q(y) = -y. Let z(g) = 0 - 74*g + 1 + 36*g + 33*g. Calculate 9*q(u) - 2*z(u). u - 2 Suppose 5*r + 0 = 30. Let h(d) = -d**2 - 8*d - 1. Let x(b) = b. Let k = 2 - 1. Calculate k*h(s) + r*x(s). -s**2 - 2*s - 1 Let m = 25 - 31. Let r(a) = -a**2 - 7*a. Let s(g) = g**2 + 8*g. Give m*s(i) - 7*r(i). i**2 + i Let z(h) = 12*h - 7. Let j(k) = -8*k + 5. Let a = -40 + 45. Give a*z(g) + 7*j(g). 4*g Let p(n) = -2*n**2 - 2*n + 2. Suppose -2*s - s = -5*g - 29, -9 = -3*s. Let z(o) = o - 3*o**2 + 2*o**2 + 5*o**2 - 3*o**2. What is g*z(f) - p(f)? -2*f**2 - 2*f - 2 Let g(x) = -2*x + 5. Let n(l) = -2*l + 5. What is 3*g(o) - 4*n(o)? 2*o - 5 Let s be 0*3/9 - -3. Let b(p) = -3 - s*p**2 + 2 - p**2 + p + 3*p**2. Let v(j) = -4*j**2 + 3*j - 3. What is 3*b(i) - v(i)? i**2 Let n(b) = -83*b**3 - b**2 + 4*b - 4. Let i(k) = 83*k**3 + k**2 - 5*k + 5. Calculate -4*i(s) - 5*n(s). 83*s**3 + s**2 Let h(i) = 12*i + 5. Let z(
{ "pile_set_name": "DM Mathematics" }
176 What is -276 times 4? -1104 What is the product of 0.6 and -1350? -810 What is the product of 0.3 and -105? -31.5 2*-0.17 -0.34 0.3 * -67.06 -20.118 Work out -0.4 * -19. 7.6 -1594 * 0.5 -797 0.1 * -0.22 -0.022 What is the product of -14.8 and 0.05? -0.74 Calculate -0.45*-0.51. 0.2295 Work out -1314 * -0.5. 657 0.047*0.9 0.0423 Work out -316 * 6. -1896 -2.9*-0.3 0.87 Multiply -13.21 and -5. 66.05 What is the product of 0.04 and -0.058? -0.00232 Work out -2 * 0.029. -0.058 What is the product of -5 and -25.96? 129.8 Multiply -363 and -2. 726 Product of -20 and 247. -4940 Work out 0 * 7.42. 0 Multiply 1623 and 0.04. 64.92 What is -7 times 0.092? -0.644 0.4 * -0.166 -0.0664 What is -0.2 times 31? -6.2 Multiply -0.04 and 0.068. -0.00272 What is the product of 0.07 and -565? -39.55 Product of 0.22 and -369. -81.18 0.088 * 2 0.176 Work out -0.1 * 211. -21.1 What is 0.2 times -80? -16 What is 0.2 times 994? 198.8 Product of -3 and -0.3796. 1.1388 What is the product of 5286 and -3? -15858 What is -0.004 times 0.1? -0.0004 0.02 times -37 -0.74 Work out 7 * 14. 98 What is 19 times 0.64? 12.16 Calculate 0.08292*-0.2. -0.016584 -5 times 29 -145 Product of 0.8 and 22. 17.6 Work out -0.02 * -27. 0.54 What is 1 times -1.35? -1.35 Calculate -4*0.436. -1.744 Work out -20 * 14. -280 Work out -5 * 2461. -12305 710 times 7 4970 Work out 1.2 * -0.059. -0.0708 Product of 15 and -11. -165 -0.08*144 -11.52 What is the product of -1 and -0.05? 0.05 -157*0.4 -62.8 Work out 837 * 2. 1674 Work out -36028 * 1. -36028 Product of -620 and 0.3. -186 What is 15 times 0.11? 1.65 Calculate 4.67*0.4. 1.868 Calculate -24*22. -528 -0.365 times 0.07 -0.02555 -21 times -7 147 What is the product of -0.67 and -48? 32.16 Product of 0.3 and -2130. -639 Multiply 0.42 and 0.7. 0.294 0.00293 times 4 0.01172 0.2*451 90.2 Work out -18 * 4. -72 Work out -2 * -8. 16 Product of 0.3 and -416. -124.8 7 times -20 -140 -1.5 * -201 301.5 Calculate -0.7*-39. 27.3 -6.17 times -0.03 0.1851 What is the product of 16.79 and -0.5? -8.395 What is the product of -0.128 and -5? 0.64 What is -0.23 times -0.2? 0.046 Work out -135 * -0.3. 40.5 -20363*0.4 -8145.2 Product of 33 and 13.5. 445.5 What is -0.049 times 0.22? -0.01078 Calculate 0.77*-10.5. -8.085 0.5 * 0.304 0.152 What is the product of -0.2 and -0.5? 0.1 What is the product of -37.78 and -0.3? 11.334 12*50 600 1*-2423 -2423 Calculate 21886*-3. -65658 What is the product of -113 and -4.2? 474.6 Calculate -0.87*7.7. -6.699 -0.4 times 13.21 -5.284 0 * -51.5 0 -76*0.22 -16.72 What is -0.06 times -2.9? 0.174 0.106 times 0.05 0.0053 Calculate -0.103*1.16. -0.11948 Multiply 311 and 4. 1244 What is the product of 751 and -5? -3755 Multiply -23 and -4. 92 Work out 0.444 * -4. -1.776 146 times -5 -730 What is -5 times -53? 265 -144.3*-2 288.6 0.81 times 0.3 0.243 Work out 0 * 0.28. 0 Calculate -6.5*-0.11. 0.715 0.8 times -0.04 -0.032 -0.05 times -1480 74 Multiply -0.15 and 8.8. -1.32 Calculate 0*0.25. 0 3*-11 -33 Calculate 8.1*17. 137.7 Multiply 0.28 and -0.08. -0.0224 Multiply 0.3 and -1.22. -0.366 What is -0.04 times -1.289? 0.05156 Work out 1162 * 0.03. 34.86 -0.1*2602 -260.2 Multiply -0.5 and 0.013. -0.0065 79*4 316 Calculate 0.27*-37. -9.99 Calculate -4.9*47. -230.3 -1 * 49 -49 Product of 12 and -270. -3240 Multiply 25 and -0.2. -5 What is 61 times -0.38? -23.18 0.15 times 299 44.85 Work out 30.51 * -0.3. -9.153 -0.09 times 26 -2.34 Work out 35 * -0.2. -7 Work out 1.19 * 0.2. 0.238 What is -0.1 times 1937? -193.7 -22.8*-37 843.6 What is the product of -0.32 and -0.07? 0.0224 -0.36 * 24.5 -8.82 Calculate 5*3.8. 19 Product of -1.54 and 0.4. -0.616 What is the product of -0.114 and -0.44? 0.05016 Work out 1 * 77.09. 77.09 -150 times -21 3150 Multiply -13 and 0.2. -2.6 What is the product of -84 and 0.09? -7.56 Work out -43 * 0.3. -12.9 35 times 15 525 Calculate -430*0.5. -215 Calculate -0.05*-0.5. 0.025 What is 560 times -0.5? -280 Calculate -0.06*-0.3444. 0.020664 Multiply -2 and 5.8. -11.6 Product of -0.139 and -43. 5.977 Product of -1 and -162. 162 What is -7426 times -3? 22278 Calculate -5852*0. 0 0.3*-0.042 -0.0126 -1*85 -85 Work out 0.4 * -0.48. -0.192 Multiply 0.43 and -0.006. -0.00258 -30*-39 1170 -3.5 times -2 7 Work out 1 * -0.1118. -0.1118 0.22 times -0.1 -0.022 Calculate -149*-31. 4619 -0.5 times -50 25 Calculate 2.73*-0.2. -0.546 What is the product of -395 and -4? 1580 Product of 13 and -2.62. -34.06 What is the product of -18 and 1.4? -25.2 0.724 times 32 23.168 What is the product of 740 and 0.1? 74 Product of -1.42 and -0.4. 0.568 What is 327.5 times -3? -982.5 Calculate 0.6*-12. -7.2 What is -277 times -0.3? 83.1 Work out -8 * -4.2. 33.6 -0.4 times -885 354 -0.1 * 0.1419 -0.01419 Multiply -0.2 and 1.49. -0.298 5213 times -0.05 -260.65 0 times -0.3 0 Multiply -2 and -0.7. 1.4 Product of 14.5 and -0.05. -0.725 Work out -0.2 * 47. -9.4 Multiply 0.05 and -91. -4.55 Product of 0.5 and -110. -55 Work out 15 * -2. -30 -265 * 0.06 -15.9 What is the product of 1 and -112? -112 What is -1 times -3.7? 3.7 Work out 0.6 * -489. -293.4 -3 times -37 111 Product of -44.4 and 5. -222 -1 times -0.12 0.12 Multiply -5 and 1.3. -6.5 Calculate 0.003*-2.3. -0.0069 What is the product of -2 and -2168? 4336 What is the product of 0.3268 and 0.3? 0.09804 Product of 86 and -7. -602 0.3*153 45.9 What is the product of 0.32 and -0.02? -0.0064 0.1 times 102 10.2 Product of 2155 and 0.4. 862 What is the product of -0.311 and 8? -2.488 -1.2 * 6.94 -8.328 What is the product of -16.4 and 5? -82 What is -65.37 times 0? 0 Multiply 1 and 4328. 4328 0.0617 times 1 0.0617 -365*-0.3 109.5 Calculate 990*-2. -1980 Product of 18 and 261. 4698 0.2*-16.9 -3.38 -1 * -93 93 What is -128 times -3? 384 -0.5 times 91 -45.5 What is 0.5 times 0.02? 0.01 3*0.0422 0.1266 What is 0.071 times 0.3? 0.0213 Calculate -101*1. -101 What is the product of -254 and -6? 1524 Calculate 5*73. 365 What is the product of 35 and -332? -11620 What is -15 times 79? -1185 Product of -319.1 and -2. 638.2 2.7*0.1 0.27 Product of -0.1381 and 0.3. -0.04143 Work out -1.4 * -2.42. 3.388 Work out 3162 * -0.1. -316.2 What is 0 times 0.221? 0 What is the product of 0.02 and -0.76? -0.0152 -2.1 times 1.2 -2.52 What is the product of 1 and -0.51? -0.51 -0.5*3877 -1938.5 -12.043 times 0.2 -2.4086 Multiply -0.2 and -0.18. 0.036 0.3 * -0.93 -0.279 2.41 times -2 -4.82 What is 5 times -31? -155 -0.016*27 -0.432 0.3*0.23 0.069 -0.119 * 0.1 -0.0119 Multiply -71 and -20. 1420 What is the product of -5038 and -0.2? 1007.6 Multiply -13 and 1.5. -19.5 Work out 0.195 * -2. -0.39 What is 0.2 times -798? -159.6 Multiply 0.215 and -0.4. -0.086 Work out -4 * 1233. -4932 Work out -0.06 * 0.23. -0.0138 What is -2.69 times -5? 13.45 Multiply -0.1364 and 0. 0 Multiply 29 and 3.94. 114.26 Multiply -0.1674 and 0.5. -0.0837 Calculate 0.2*4415. 883 Multiply 0 and -0.049. 0 What is the product of 96 and -0.09? -8.64 Product of 0.4 and -278. -111.2 What is -222 times 0? 0 Calculate 0.9*-4.3. -3.87 What is the product of -0.06 and -318? 19.08 Multiply -2465 and 0.1. -246.5 Product of 110 and -7. -770 Calculate 0.3*8.8. 2.64 -284 times 0.2 -56.8 2123 times 2 4246 -209 * -0.4 83.6 Calculate -0.4*99. -39.6 What is the product of 0 and -344? 0 -2.3*-45 103.5 Work out 0.22111 * -0.3. -0.066333 What is -3 times -59.1? 177.3 What is -1176 times -0.3? 352.8 What is the product of -45.57 and -0.5? 22.785 Work out 2.445 * 1. 2.445 Work out -0.072 * -5. 0.36 Product of -84.57 and -0.2. 16.914 Calculate 145*0.1. 14.5 Multiply 1 and -5.9. -5.9 -8 * 0.08 -0.64 Calculate 731*2. 1462 0.5*1.1 0.55 Calculate -46*-6. 276 What is -0.2 times -227? 45.4 What is 2170 times 5? 10850 What is -0.1 times -0.302? 0.0302 What is the product of 7.46 and -3? -22.38 Calculate -0.19*-0.09. 0.0171 -5*929 -4645 What is -3390 times 1? -3390 Calculate -9.8*0.18. -1.764 -0.4 times 674 -269.6 -0.11 * 0.01 -0.0011 5 * -0.333 -1.665 -0.4*-47 18.8 Multiply -29.11 and 5. -145.55 Multiply 0.872 and -5. -4.36 What is -0.0164 times -15? 0.246 Work out -0.518 * 0. 0 Multiply -0.004 and -0.1. 0.0004 What is the product of 254 and 0.2? 50.8 41*9 369 Multiply 1.3 and 0.12. 0.156 Product of -23907 and 0.1. -2390.7 What is the product of -36 and 0.2? -7.2 Multiply 0.894 and 2. 1.788 Calcul
{ "pile_set_name": "DM Mathematics" }
e? (a) w (b) z (c) 3 (d) 4 c Let u = -11 - 8. Let m = 21 + u. Suppose -j + 15 = 3*p - 4, -27 = -3*p - 3*j. Which is the smallest value? (a) m (b) p (c) 1 c Let m = 20511.5 + -20511.1. Let o = -0.3 - 0.2. Which is the second biggest value? (a) m (b) o (c) -1 (d) 3 a Let y = -1950 - -1955. Which is the fourth smallest value? (a) -16 (b) y (c) 0.3 (d) 0.01 b Suppose -5 = -4*x - 3*y, -13 - 32 = -4*x + 5*y. Suppose -10*v + 25*v = -30. What is the fourth smallest value in 1/4, 0.3, x, v? x Suppose -10*c = -23*c. Let k be (-22)/(-14) - (c - (-12)/(-28)). Let q be (-9)/(-6) - (11/6 - 0). What is the third smallest value in q, -1/2, k? k Let v = 212 - 187. Let a be -1*(-33)/(-90) - (-5)/v. What is the third smallest value in 0.4, -1/3, 0, a? 0 Let i be 0 - (20/(-16))/5. Let l = 155 - 155.094. Let j = l + -0.306. Which is the third smallest value? (a) j (b) -3 (c) i (d) 1 c Let o(h) = 10*h - 657. Let u be o(66). Which is the third biggest value? (a) u (b) 1/7 (c) 2/19 c Let f = -0.21 - -0.11. Let i be (4669/(-364) - -15) + (-1)/(-13). What is the biggest value in -2, f, -1, i? i Let o = 49 - 53. Let a = 50 + -51. What is the second smallest value in a, o, 6? a Suppose 5*h + 21 - 11 = 0. Let g = 0.2 - 0. Let n = -13.6 + 13. Which is the biggest value? (a) g (b) h (c) n a Let o = -0.1 + 0. Let g(j) = -115*j**2 + 9*j + 5. Let l be g(-2). Let p = l + 474. Which is the smallest value? (a) p (b) o (c) -6 c Let w = -7.2 - -7.2. Let g be ((-12)/21)/2 + 2152/(-14). Let o = g - -458/3. Which is the biggest value? (a) -1 (b) w (c) 2 (d) o c Let r = 7160 - 7175. Let v = 2/9 + -5/9. What is the second smallest value in -0.3, v, r? v Let z be (2 - 3)*(4 - (0 + 9)). Let x = 5077.9 - 5075. Which is the third smallest value? (a) z (b) x (c) -1 a Let v = 136577/6 + -22763. Which is the fifth biggest value? (a) 2 (b) 3 (c) -2/13 (d) 0 (e) v e Let r = -26920 - -26919.6. Which is the third biggest value? (a) 1 (b) r (c) -973 c Let x = -18 - -25. Let z = 80697 - 80696. Let o = 4.7 + -5. Which is the fourth biggest value? (a) z (b) o (c) -3 (d) x c Let i = 78 - 82. Let k be (i + 0)*((-2)/(-4))/(-1). What is the biggest value in -0.1, -8, k, 0.11? k Let o = 32499.865 + -32499. Which is the second biggest value? (a) o (b) -5 (c) 0.2 (d) 1/2 d Let t = -39 - 35. Let g = 69 + t. Which is the fourth biggest value? (a) 4 (b) 5 (c) 3/5 (d) g d Suppose a = -0*a. Let n = -69.9985 - 0.0015. Let h = n - -75. What is the smallest value in 0.1, h, a? a Let h(t) be the first derivative of t**3/3 - t**2 - t + 1. Let n be h(2). Let g = 29950 + -29949.7. Which is the second smallest value? (a) g (b) -4/3 (c) n c Let j = -0.1 - -0.1. Let g be 63/27*(-378)/196. What is the third smallest value in 1/4, g, 2/9, j? 2/9 Let p = 2 + 0. Let o = 953 - 1313. Let q be (-1)/(-2)*41/((-410)/o). What is the third smallest value in q, 5, p, 1? 5 Let o = -23.6 - -1.6. Let s = 22.0854 + 0.0146. Let q = s + o. Which is the second biggest value? (a) 0 (b) q (c) 0.3 (d) -0.3 b Suppose 3*x + 2*v - 6 = 0, 408*x + 36 = 413*x - v. What is the fourth smallest value in -2, -0.0034, -4, x? x Let o = -4 + 8. Let t = 131/387 - 5/43. What is the second biggest value in o, 1/3, t, -0.9? 1/3 Let y = -43 - -30. Let j be (-66)/91 - 2/y. Let d be (-143)/(-29) - 5 - 244/(-174). What is the biggest value in j, 0.4, d, 3? 3 Let y = 214 - 214.2. What is the second smallest value in 0.2, -104, y? y Suppose -20 = -17*u + 35 - 4. Let x = 8 + 0. Let s = 13 - x. Which is the fourth smallest value? (a) 3/5 (b) u (c) s (d) 0.01 c Let n = -1.53 - -0.959. Let k = -0.471 - n. Which is the second biggest value? (a) -1/14 (b) -1/5 (c) k (d) 3 c Let d be ((-95)/38)/(2/4). Let l = -2338 + 2310. Which is the smallest value? (a) d (b) l (c) -2/15 b Let d = -0.04 - -2.04. Let t = d + -2.3. Let g = -44289 + 44294. What is the smallest value in t, 6, g? t Let y = 94 - 90.1. Let o = -2.856 + -0.044. Let v = o + y. Which is the third biggest value? (a) 3 (b) 0.5 (c) v b Let r = -204/535 - 2/107. Let t be 548/(-1370)*5/(-2). Suppose -3*j + i + i - 23 = 0, i + 21 = -5*j. What is the smallest value in -1/4, j, t, r? j Let y be ((-190)/(-50) - -1) + (4 - 8). Let x = -243 + 2675/11. Which is the third biggest value? (a) -1/24 (b) x (c) 0.5 (d) y b Let f(d) = -d**2 + d + 37. Let p(g) = -g. Let x(m) = f(m) + 4*p(m). Let z be x(5). Let q = 0.23 + -0.13. Which is the second biggest value? (a) z (b) q (c) 1 b Let w(k) = 129*k + 3870. Let r be w(-30). Which is the smallest value? (a) r (b) 17 (c) -0.128 c Suppose 0 = -39*r + 26*r + 2977. What is the biggest value in -1/11, r, 2/9, -3? r Let f = -0.2 - 0.4. Let h = f + -0.4. Let c be (-2)/(-7) - 36/(-21). What is the third biggest value in 0.1, h, c? h Let i be 1*2*(-2 + 1*35/14). Let x be (-52)/(-6) + 7/21. Let r = -5 + x. Which is the second smallest value? (a) 3/7 (b) r (c) i c Let s = 3.44 + -1.44. Which is the second biggest value? (a) 10 (b) s (c) -2 (d) -6 (e) 3 e Suppose -3*j = -9, m + 2*m + 5*j - 66 = 0. Suppose 0 = s - 1 + m. Let y = s + 65/4. Which is the biggest value? (a) -0.4 (b) y (c) -3/5 b Let j = -122.02 - -136.02. What is the third smallest value in -2, -107, j? j Let i = 6756.7 + -6757. Which is the third smallest value? (a) 1 (b) 0.4 (c) 2/3 (d) i (e) -9/43 b Let z = -384 + 360.1. Let l = z + 21.9. What is the smallest value in -5, -12, l? -12 Let w be (12 - 12)/((-4)/(-2)). Let r = -20.455 + -0.365. Let u = r + 21. Which is the fourth biggest value? (a) u (b) 1 (c) w (d) 5/2 c Let q = 2/11 + -21/55. Let h = -7.4 + 7. Which is the second smallest value? (a) q (b) 0 (c) h a Suppose 3*d - 6 + 0 = 0. Suppose d*r - 3*w = 0, -2*w = 5*r - 0*r. Let q = 12.1 + -3.1. What is the second biggest value in -0.4, r, q? r Let q be (-2)/10 - 891/(-55). Let i be (q/(-24))/(3/(-9)). Which is the biggest value? (a) i (b) -7 (c) 5 c Let y be (-115)/644 + 18/(-72). What is the smallest value in -2, y, 29/3, 2/11? -2 Let s be 2800/(-224) - 13*-1. Let g be (-2)/20*(-15)/(-6). Which is the fourth biggest value? (a) 0.4 (b) s (c) g (d) -1 d Let v = 0.0842 + -762.0842. Let i = 662 + v. What is the biggest value in -5, i, 4? 4 Let o = -904.6 + 917. Let a = o - 8.4. What is the second smallest value in 12/11, a, 5? a Let a = 0.5 + 0.1. Let l = -15/24713 - 21079694/815529. Let d = l + 77/3. What is the third biggest value in -1, a, d? -1 Let l = -454.2 + 454.7. Let n = 1.31 + -0.31. What is the third smallest value in -2, -7, n, l? l Let f = 13352 + -13353. What is the fourth smallest value in 0.05, -288, f, 4? 4 Let y = -1839.9 + 1840. Let o = -13 - -16. What is the smallest value in 1/8, 0.4, y, o? y Let a(o) = o**2 + 11*o - 12. Let b be a(1). Let y be 20/40*b/2. What is the second biggest value in 5, -7/2, y? y Let z = 41.9 + -44.9. Let w = 34 - 31.9. Let k = w + -0.1. Which is the biggest value? (a) -0.3 (b) k (c) z b Let v = -18196/213465 - 8/1605. Let p = v + -5018/399. What is the third biggest value in p, -1, 2? p Let h = 1699.5 - 1699. Which is the second smallest value? (a) 3/2 (b) 0.3 (c) h (d) 8/9 c Let d = 15.6 - 16. Let c = 2/4175 - -49249/33400. Let b = -11/8 + c. What is the second biggest value in -0.5, -0.2, b, d? -0.2 Let c = 9874/3 - 3279. What is the smallest value in -2, -0.2, c? -2 Let z = 0.0288 - 2.0588. Let c = 1.83 + z. What is the smallest value in 0.119, c, -2/7? -2/7 Let z = -960.797 - -960.597. Let w = -6 - -5.2. Let f = -5.2 + w. What is the second biggest value in z, -0.3, f, 0.3? z Let m = -1823742/55 - -33159. Which is the smallest value? (a) -0.5 (b) -7 (c) m b Let k = 67 + -67. Suppose 6 + 24 = 3*u. Suppose 10*w - u = 12*w. Which is the smallest value? (a) -12 (b) k (c) w a Suppose -5*l + 4*j + 0 + 3 = 0, 0 = -4*j + 12. Let t = 52 + -108. Let k be -6 - 4/36*t. What is the second biggest value in l, 0.3, k? 0.3 Let v = 7827 + -7827. Which is the fifth biggest value? (a) v (b) -2/7 (c) 2.4 (d) -4 (e) 0.3 d Suppose -h = -k + 9, -3*k + 14 = -k - h. Let u = -0.79 + -1.21. Let q = -179/3 - -59. Which is the fourth smallest value? (a) -2/5 (b) k (c) q (d) u b Let p be -10*2 - (-2 - -1). Suppose 919*u - 1724 = -805. What is the second biggest value in 5
{ "pile_set_name": "DM Mathematics" }
- (-3 + 1)). What is t rounded to the nearest one hundred thousand? -3600000 Let q = -152864.781 + 152743. What is q rounded to one decimal place? -121.8 Let c = 27817154428 - 27839456928.381. Let u = c + 22303486.3809513. Let t = u + -986. Round t to 6 dps. -0.000049 Let m = 31818 - 31819.7157. Round m to 1 decimal place. -1.7 Let s(l) = -l**2 - l + 45. Let o be s(6). Suppose -u + 3285 = 4*q, o*q + 2*u - 3626 + 1156 = 0. What is q rounded to the nearest one hundred? 800 Let r = 713.00004415 - 713. What is r rounded to 5 dps? 0.00004 Let r be 3/(-10) + 1038/60. Suppose 8900000 = r*v - 16*v. Round v to the nearest 1000000. 9000000 Let r(z) = 10456*z**2 + 6*z + 19. Let y be r(6). Let g = 10902 - 24431. Let h = g - y. Round h to the nearest 1000000. 0 Let x = 2745.4211 - 2746. What is x rounded to 1 dp? -0.6 Let y = 34.359715 + -34.36. What is y rounded to 4 decimal places? -0.0003 Let b = -533 - -534.036. Let u = -0.99992 + b. Let z = u + -0.036. What is z rounded to five decimal places? 0.00008 Suppose -5*s = q - 18, q - 10 = 3*s - 0. Let f(m) = -11*m + 23. Let l be f(q). Let a be (-103999998)/20 - (-12)/l. Round a to the nearest one million. -5000000 Let t = 35.854 - 36. Let p = t - 1.994. Let i = p - -2.494. What is i rounded to one decimal place? 0.4 Let m = -46939 - -47155.79. What is m rounded to the nearest integer? 217 Let r = -776.1936 + 781.2. Let z = -5 + r. What is z rounded to 2 decimal places? 0.01 Let z = -9 + 4.1. Let r = z + 1.3. Let h = -3.59 - r. Round h to 2 dps. 0.01 Let p = 22.44 - 0.44. Let g = p + -109. Let m = g - -87.00497. Round m to three decimal places. 0.005 Let m = 83 - 86. Let a be (-450)/105*16282/m. Round a to the nearest one thousand. 23000 Suppose -30*s + 39470470 = 7339870. Round s to the nearest 100000. 1100000 Suppose -5*r - 2930000 = -3*g, 3*r + r - 2*g = -2344000. Round r to the nearest one hundred thousand. -600000 Let b = -12.9314 - -12.9. Let c = b - -0.0885. Round c to 1 dp. 0.1 Let n = 55.582 - 56. Let f = n - -0.227. Let l = f + 20.591. Round l to 0 dps. 20 Let i = 1.30515 - 0.10971. Round i to 1 decimal place. 1.2 Suppose -3179188415 + 568888415 = -11*d. What is d rounded to the nearest one million? 237000000 Suppose -870*w = -436*w - 453*w - 387828000. What is w rounded to the nearest one million? -20000000 Let t = -0.077 + 0.301. Let n = t + -0.39. Round n to one dp. -0.2 Suppose 0 = 83*c - 59*c - 120. Suppose y + 2*y = 36720. Suppose -g + y = c*g. What is g rounded to the nearest one hundred? 2000 Let h = 16.3 - 11.8. Let x = -36.37026 - -31.870214. Let c = x + h. Round c to 5 decimal places. -0.00005 Let d = -37469 + 37468.80835. What is d rounded to two dps? -0.19 Let q = -3.987762 - -20.0877484. Let c = q + -16.1. Round c to 6 decimal places. -0.000014 Let s = 22599.1 - 24815. Round s to the nearest 1000. -2000 Let t = 4.62 - 4.18. Let c = -3.77757832 + 4.21757. Let i = t - c. Round i to 6 dps. 0.000008 Let f = -469432479534300 - -469432305349386.9999948. Let w = f + 174184884. Let y = w + 29. What is y rounded to 5 decimal places? -0.00001 Let u = 2.7935 - 3.03198. Round u to three decimal places. -0.238 Let t = -2.0512 + -2.3396. Let i = -54.4 - -50. Let o = i - t. Round o to 3 decimal places. -0.009 Suppose -19*j + 68 + 8 = 0. Suppose -3*i + 1684015 = 4*d, -334575 - 1349450 = -j*d - 5*i. What is d rounded to the nearest one hundred thousand? 400000 Let x = 21.64802 + -16.1055. Let q = x - 0.00352. Let n = q - 5.4. Round n to two decimal places. 0.14 Let v = -0.4 - 0.1. Let f = -12739 + 12738.2. Let z = v + f. What is z rounded to the nearest integer? -1 Let h(t) be the first derivative of 45*t**2/2 - 451000*t - 144. Let g be h(0). Round g to the nearest one hundred thousand. -500000 Let q(f) = 26767*f + 492. Let l be q(24). What is l rounded to the nearest ten thousand? 640000 Let d be (-4)/10*(-7 - -2). Let g(k) be the first derivative of 28*k**3 - 3*k**2/2 + 4*k - 4161. Let f be g(d). Round f to the nearest one hundred. 300 Suppose -z = 3*z - 3*z. Suppose -3*y + 13559 - 2459 = z. What is y rounded to the nearest one thousand? 4000 Let f = -11936 + 11948.226. Let y = 0.374 + f. What is y rounded to the nearest 10? 10 Let d = 33 + -37.1. Let g = d - -4.9. Let f = -0.8000334 + g. What is f rounded to 6 dps? -0.000033 Let u = 5.8 - 6.27. Let w = -9.47 - -0.44. Let k = u + w. Round k to the nearest integer. -10 Let g = 5404771 + -5404577.999845. Let p = g - 193. Round p to five decimal places. 0.00016 Let h = -91214.313 + 91168. What is h rounded to the nearest ten? -50 Let i = -1116 - -793. Let n = -322.05 - i. Round n to two decimal places. 0.95 Let h = -882.9129 + 883. Let l = h + -0.087100802. Round l to seven dps. -0.0000008 Let i = 282.196 - 283. Round i to 0 dps. -1 Let h = 2.3136 - 2.83938. What is h rounded to one decimal place? -0.5 Let w = -1.08 + -227.92. Let q = 228.9996 + w. What is q rounded to 3 decimal places? 0 Let z = 194.813 + -195. Let g = 1.651 - 0.908. Let i = g - z. Round i to one decimal place. 0.9 Let o = 9561259.11091 - 9561307. Let b = o - -47.6537901. Let s = b + 0.2352. What is s rounded to five dps? -0.0001 Let x = -9350 - -9349.9991237. Round x to five decimal places. -0.00088 Let r = -3.02 + -0.68. Let p = r + 7.6. Let s = -3.8867 + p. What is s rounded to three dps? 0.013 Let b = 0.203 + 63.797. Let c = 214068 - 214003.99784. Let m = b - c. What is m rounded to four decimal places? -0.0022 Let r = 24716566 + -24717196.04444. Let o = 630 + r. Round o to three decimal places. -0.044 Let c = -51 - -53. Let d(j) = 20025*j**2 - 2*j + 4. Let x be d(c). Suppose -6*m - x = 3*m. What is m rounded to the nearest 1000? -9000 Let y = 3959 - 3959.000006882. Round y to 6 decimal places. -0.000007 Let n = 0.614 - 0.467. Let u = -0.14699928 + n. Round u to 7 dps. 0.0000007 Let u = -64.021 + 0.021. Let q = u - -64.1227. Let k = q - 0.112. Round k to two dps. 0.01 Let f = -0.1726 + 0.0355. Let v = f - -0.1367564. What is v rounded to five decimal places? -0.00034 Let s = 443 + -86. Let x = 357.034 - s. What is x rounded to one decimal place? 0 Let y be (423/(-36) + 11)/((-6)/2648). Let d = 137 - 38. Suppose -d = -x + y. Round x to the nearest 100. 400 Suppose 0 = -5*p + 15, -11*v + 6*v + 4*p = -1081558. Let j = -507314 + v. Round j to the nearest ten thousand. -290000 Let u be 6/(120/455) - 1/(-4). Suppose -u*q - 35799 = -817799. Round q to the nearest ten thousand. 30000 Let k(o) = -5608*o**3 - 2*o**2 - 8*o - 4. Let z(s) = -s**3 + 2*s + 1. Let f(r) = k(r) + 3*z(r). Let x be f(-1). Round x to the nearest 100. 5600 Let z = -228684572 - -228685871.02573. Let w = -1298.3 + z. Let q = -0.729 + w. What is q rounded to 4 dps? -0.0033 Let j = -33 + 38. Suppose -2*q - v + 6*v - 261119994 = 0, -5*q = -j*v + 652799970. Let y be q/48 - (-2)/(-12). What is y rounded to the nearest 100000? -2700000 Let c(n) = 45*n**3 + n - 5. Let f(q) = 44*q**3 + q - 5. Let r be 12/15*(-2 - (-38)/4). Let g(k) = r*f(k) - 4*c(k). Let o be g(5). Round o to the nearest 1000. 11000 Let c = -80 - -79.891. Let v = 0.108704 + c. What is v rounded to 5 dps? -0.0003 Let o(l) = -l - 8. Let u be o(-9). Let n(m) = m**2 - 4469406*m**3 + 756905*m**3 + u + 3. Let q be n(2). What is q rounded to the nearest 1000000? -30000000 Let k = -8958 - -8958.14155. What is k rounded to 3 dps? 0.142 Let o be -2 + 21/14*(-2)/(-3). Let q be 3063*o*12/(-54)*129. Suppose 0 = -z - 1, 32196 + q = -b - 2*z. Round b to the nearest ten thousand. -120000 Let x(v) = -13317734*v + 11330. Let i be x(-5). Round i to the nearest 1000000. 67000000 Let p = 50 + -68. Let b(y) = -y**3 + y**2 - 2*y + 6. Let s be b(6). Let m be p/(-63) - s/(-14). Round m to the nearest 10. -10 Let y = -54058192191.00000451 + 54058193080. Let n = -889 + y. What is n rounded to 7 dps? -0.0000045 Let q(p) = -3853352*p + 56. Let a(x) = x**3 - 8*x**2 + 14*x - 9. Let r be a(6). Let i be q(r). What is i rounded to the nearest 1000000? -12000000 Let q = -0.79235 - 15.07355. Let n = q + 15.9. What is n rounded to two dps? 0.03 Let v = 37734 - 37733.967551. What is v rounded to 3 decimal places? 0.032 Let k = 8.09 - 460.09. Let t = k - -450.07. Round t to 1 dp. -1.9 Let i = 37 + -218. Let v = -219.011 + 37.325. Let o = i - v. What is o rounded to 1 decimal place? 0.7 Let d(g)
{ "pile_set_name": "DM Mathematics" }
.953. Let q = -0.725 + c. What is q rounded to one dp? -4.6 Let l be (-107)/4*((-3)/(-1) + -199). Suppose -5*v + 17144 = 2*j, v + 1819 = -2*j + l. What is v rounded to the nearest 1000? 3000 Suppose 0 = 2*r + 5*d + 4, -4*r = r + 5*d - 5. Suppose 4*p = -0*p, r*n = -5*p - 2694. What is n rounded to the nearest ten? -900 Let r be ((-5362)/42 - 5)*((-31185)/(-10))/9. What is r rounded to the nearest one thousand? -46000 Let u = 6412.997947 - 6413. What is u rounded to 4 decimal places? -0.0021 Let c = 4527.7 - -11735.4. Round c to the nearest one thousand. 16000 Suppose 5*w = 13*w + 27552032. Let p be 11604032/6 - 16/12. Let j = p + w. Round j to the nearest one hundred thousand. -1500000 Let y = 35377498 - 14868698. What is y rounded to the nearest one million? 21000000 Let k = -125 + 456.2. Let b = k - 206. Round b to the nearest 10. 130 Let y = -4.1594638 + 4.1526. What is y rounded to three decimal places? -0.007 Let f(u) = -122*u**2 + 2*u + 1. Let c be f(-1). Let t = -120 - c. Suppose -t*i + 2*i - 1740 = 0. What is i rounded to the nearest 100? -1700 Let r = 98.7 - 213.5. Let k = 35.4 - 175.4. Let v = r - k. What is v rounded to zero dps? 25 Let m = 49 - -28. Let l = m - 46. Let a = l + -34.61. What is a rounded to one dp? -3.6 Let s be 2992 - ((-44)/55 + (-42)/10). Suppose -25*c = -22678 - s. What is c rounded to the nearest one hundred? 1000 Let z be (1680/(-32))/(-21)*39456. What is z rounded to the nearest one thousand? 99000 Let s = 680.7 + -717. Let n = s + -1.8. What is n rounded to 0 decimal places? -38 Let z(d) = 9994*d - 32. Let v be z(-6). Let a be ((-480)/9)/(-4 - v/15000). Round a to the nearest one hundred thousand. 200000 Let r(b) = -19487*b - 384. Let u be r(68). Round u to the nearest one hundred thousand. -1300000 Let o = 0.3079 - -0.3422. Let m = o + -0.0081. Round m to 1 decimal place. 0.6 Suppose 17 + 20 = 5*d + 2*b, 2*b = -d + 1. Let k be (25/2)/(d/16920). What is k rounded to the nearest one thousand? 24000 Let a = -10360622.5951438 - -10359697.595. Let x = -925 - a. Round x to 5 dps. 0.00014 Let g = 1788.999992235 + -1789. What is g rounded to seven dps? -0.0000078 Let n = -15284 - -15063.355. Let j = 220 + n. Round j to one dp. -0.6 Let a = -236.4 - -225. Let c = a + 11.4000323. Round c to six decimal places. 0.000032 Let s be 2/15 + 116/30. Suppose -y - 5*p + 1220 = 3*y, -y - s*p + 316 = 0. What is y rounded to the nearest 10? 300 Let l = 28500 + -28499.978421. Let k = l + -0.0217. What is k rounded to 5 decimal places? -0.00012 Let h = -1496255 + 3115355. What is h rounded to the nearest one hundred thousand? 1600000 Let h(u) = -661981*u + 26. Let c be h(-4). Let x = c + -1222950. Round x to the nearest 100000. 1400000 Let s = -0.036 - -23.536. Let m = -26 + s. Let z = m - -2.50000006. What is z rounded to 7 decimal places? 0.0000001 Let b = -3.1 + -15.55. Let v = 18.652521 + b. What is v rounded to 4 dps? 0.0025 Let h = 387 - 411. Let t be h/(-16)*11486/(-3). What is t rounded to the nearest 1000? -6000 Let i = 19694 - 19695.43895. What is i rounded to 2 decimal places? -1.44 Let k = 46 - 99. Let y = -56 - k. Let g be (-10)/y*5/(50/348). Round g to the nearest ten. 120 Suppose 6*d - 52 = -4*g + 2*d, -4*d - 38 = -2*g. Suppose 2*i = z + z + 18, 5*z - g = -i. Suppose -6*a + i*a = 336. Round a to the nearest ten. 80 Let a = 48.58 - -38.352. Round a to one decimal place. 86.9 Let h = -36 + 49. Let r = h - 45. Let q = 20.9 + r. What is q rounded to the nearest integer? -11 Suppose -26949996 = -6*w + 11*w - 2*z, -5*w + 5*z - 26949990 = 0. Round w to the nearest 1000000. -5000000 Let w = -244326233.0000076 - -244326177. Let x = 59.14 + -3.14. Let m = w + x. Round m to six decimal places. -0.000008 Let c = 7951.2 + -8016.891. Round c to 0 dps. -66 Let g = 22600.9286 - 22612. Let a = 0.0586 - g. What is a rounded to the nearest integer? 11 Let x = -4.28499 - -4.5792. Round x to three decimal places. 0.294 Let f = 475623.28601175 - 475623. Let i = f - 0.286. What is i rounded to 7 decimal places? 0.0000118 Let f = 442.2211 + -373.83. Let s = f - 0.0911. Round s to the nearest 10. 70 Let a = -68728304 - -68725146.8709. Let y = a - -3157. Let r = y - -0.0542. Round r to two decimal places. -0.07 Let z = -16787 - -25085. Let x = 8189.368 - z. Let i = -109 - x. What is i rounded to two dps? -0.37 Let r = 378.73 + -378.778866. What is r rounded to four dps? -0.0489 Let s be (7 + 8)/(18/(-412908)). Round s to the nearest one thousand. -344000 Let z = -335 - -534. Let o = 614 - z. Let t = o + -414.9999642. Round t to 6 dps. 0.000036 Let g = -16 + 23. Suppose 2*m + 9 = 5*w + m, m = 4*w - g. Suppose 0 = w*f - 2, -2*f - 149998 = k + 2*k. What is k rounded to the nearest ten thousand? -50000 Let m be (-1)/((-55)/60 - -1). Let n(s) = -3707*s**2 + 18*s + 24. Let i be n(m). Round i to the nearest 100000. -500000 Let o = -4245.846 - -4.846. Let j = -4300.26 - o. Round j to the nearest ten. -60 Let t = -2.20703864 + 2.207. Round t to five decimal places. -0.00004 Let c = -1581.575 + -2.425. Let h = c - -1584.00921. Round h to three dps. 0.009 Let k = -2.11 + -53.89. Let a = k + 56.33. Round a to 1 dp. 0.3 Let k(h) = -h**3 + h**2 + 69*h - 47110. Let p be k(0). What is p rounded to the nearest 10000? -50000 Let j be -164 + -411439820 - (3 + 13). What is j rounded to the nearest 1000000? -411000000 Let w = 2384.5795 + -2132.58112. Let n = 252 - w. Round n to 4 dps. 0.0016 Let i = -26017 + 25905.816. Let a = 430 - 319. Let o = i + a. What is o rounded to 2 dps? -0.18 Let m be 0 - (6/(-51) + (-257)/(-17)). Let j = m + 761. Round j to the nearest 100. 700 Let u = -1459.4 + 1459.392693. What is u rounded to 3 decimal places? -0.007 Let x = -0.03087 + 0.06604. Let u = -495.33517 + x. What is u rounded to the nearest 10? -500 Let i = 32 + -144. Let p = i - -112.000211. Round p to four decimal places. 0.0002 Let d = 0.12396 + 1101.77604. Let i = 1239 - d. Round i to the nearest ten. 140 Let r = 25.12745 - -121.86911. Let w = r - 147. What is w rounded to 3 decimal places? -0.003 Let k = 546.33 - 546.3275981. What is k rounded to five decimal places? 0.0024 Let f be 15/(-20) + (-15)/(-4). Suppose 0 = 4*o - 4*k + 2732, -f*o + 4*k - 297 = 1756. What is o rounded to the nearest one hundred? -700 Let t = -388025237717 - -388025236559.000001157. Let j = -1158 - t. What is j rounded to seven decimal places? -0.0000012 Let t = -18165 - -18165.0026591. Round t to five dps. 0.00266 Let p = -25682.00010737 - -25682. Round p to 6 dps. -0.000107 Suppose o - 7*o + 12 = 0. Suppose 0 = 4*j + 4*l + 78288, -3*l = o*j + 2*l + 39150. What is j rounded to the nearest 1000? -20000 Let g be (-2990)/(-4) - ((-19)/(-2) - 9). Let v be (g/(-6) + 0 - 4)*-2. Round v to the nearest 10. 260 Let u = 132.069 + -135.8. Let y = u + 1.892. Let m = y - 0.111. Round m to the nearest integer. -2 Let r = -502.3 - -499.769. Round r to one decimal place. -2.5 Let d = -143 + 142.27. Let v = d + 0.97. Let k = 0.2344 - v. Round k to three dps. -0.006 Suppose -9*c - 128526917 = -419514917. Round c to the nearest 1000000. 32000000 Let l = -18404 + 19063.92. Round l to the nearest one hundred. 700 Suppose -n + 20279998 = 5*n + 2*k, 13519996 = 4*n + 4*k. Round n to the nearest one hundred thousand. 3400000 Suppose -60 = -22*g + 50. Let h(v) = -1551985*v - 75. Let a be h(g). Round a to the nearest 1000000. -8000000 Let y = 10584.5714 - 10586. Round y to the nearest integer. -1 Let a(n) = 2470*n**3 - 24*n**2 - 3*n + 139. Let z be a(-18). Let g = -12807377 + z. Round g to the nearest 1000000. -27000000 Let o = 56207 + -56206.943206. What is o rounded to 2 decimal places? 0.06 Let n = 0 - -8. Let j = -6655 - -6647.001. Let c = n + j. Round c to 2 decimal places. 0 Let j = 8284.0008413 + -8284. What is j rounded to four decimal places? 0.0008 Let q = 0.18488 + -0.1970177. What is q rounded to 5 decimal places? -0.01214 Let x = -57 - -62. Suppose -o = x*o + 16824000. What is o rounded to the nearest 1000000? -3000000 Let x = 420933 + -420935.65499. Let n = x + 2.66. Round n to 4 decimal places. 0.005 Let d = 81.997344 - 83.162. Let g = d - -1.153. Let z = g - -0.0125. Round z to four decimal places. 0.0008 Let j = -1411.3 + 1412.6332. What is j rounded to two dps? 1.33 Let j = 1534.8 + -1534.72751. R
{ "pile_set_name": "DM Mathematics" }
-2*c - 1 = -a, 5*c - 2*a + 4 = -0*a. What is the units digit of (-26)/(-3)*((-25)/c + 4)? 3 Let c(v) = v**3 - 7*v**2 - 2*v. Let y be c(8). Let m = 14 + y. Suppose 58 = 2*x - m. What is the units digit of x? 0 Let q be (1*-6)/((-1)/(-3)). Let k = q - -23. Suppose 44 = h - 2*j, -2*h - 3*h - k*j + 280 = 0. What is the tens digit of h? 5 What is the hundreds digit of (-4303)/(-4) + (-45)/(-180)? 0 Suppose 0 = 6*w - 234 + 60. Suppose 0 = -3*a - w + 107. What is the units digit of a? 6 What is the units digit of (15/(-5))/(-24) + 22783/8? 8 Let x = 3937 - 1931. What is the tens digit of x? 0 Suppose 0 = 2*u - 4, -24*u = 4*p - 22*u - 10692. What is the tens digit of p? 7 Let o be 2/(-3)*(47 + 1). Let k = o - -12. Let l = 41 + k. What is the tens digit of l? 2 Let q = 33 + -12. Suppose 4*i = w + 12, -4*w - 24 = -6*i + 2*i. What is the units digit of q - (0/(-1))/i? 1 Let y = -1 + 3. Suppose 5*r + 4*b = 379, y*b - 380 = -5*r - 3*b. Suppose -r = -3*k - 2*n + 3*n, -3*k - 3*n + 63 = 0. What is the tens digit of k? 2 Suppose d - 104 = -3*d. Let y = d + 2. Let p = y + -12. What is the units digit of p? 6 What is the hundreds digit of 10*4/(-8) + 191 + 2? 1 Let z(t) = 2*t**3 - t**2 - 3*t - 2. Let u be z(3). Suppose 0 = -25*c + 23*c + u. What is the tens digit of c? 1 Suppose 4 = -b + 22. Let s(l) = 8*l - b*l**2 + 12 + 8*l**2 + 11*l**2. What is the tens digit of s(-9)? 2 Suppose 0*q = 2*q - 4. Let w(s) = 2*s - 11*s**2 + q*s**2 + 6 - 6*s**3 + 6*s**3 + s**3. What is the units digit of w(9)? 4 Let f(u) = u**3 - 9*u**2 - 6*u + 1. Let n = 2 + 14. Suppose -2*l = -2*k - 28, l = 5*k + n + 14. What is the units digit of f(l)? 1 What is the units digit of (1707/7)/((-52)/(-364))? 7 Let y(d) = d**2 + 6*d + 2. Let n be y(-4). Let t be (-2)/(n*(-2)/258). What is the units digit of t*(-5 - (-2 - 2))? 3 Let c = 35 - 32. Let n(b) = b**3 + 2*b**2 + 2*b + 4. What is the tens digit of n(c)? 5 What is the tens digit of (1330/4)/(16/96)? 9 Let r(c) = -c**3 - 7*c**2 - 9*c - 15. Let a be r(-7). What is the units digit of (23/(-2))/(2*(-2)/a)? 8 Let a(t) = -t + 2. Let b be 3/(-6) - 2/(-4). Let i be a(b). Suppose 53 = 5*s - 4*v, 0 = 3*s - 0*s + i*v - 23. What is the units digit of s? 9 Let q(j) = -j**3 + 10*j**2 - 8*j + 87. What is the units digit of q(8)? 1 Let q(s) = -s**2 + 9*s - 12. Let m be q(8). Let p be m + (0 - -1) + 46. Suppose 4*b + p = 127. What is the units digit of b? 1 Suppose -4*n - n + 2*h + 3327 = 0, 0 = n - h - 663. Suppose -5*d = 87 - n. What is the hundreds digit of d? 1 Suppose -2*y - 5 = -m - 3, 0 = -4*m + 3*y - 12. Let l(k) be the second derivative of k**4/12 + k**3/2 - 4*k. What is the tens digit of l(m)? 1 Let g = 2496 - 566. What is the hundreds digit of g? 9 Suppose 0 = -7*x + 2*x - 105. Let i = -20 - x. Let n(j) = 30*j + 2. What is the units digit of n(i)? 2 Let w(u) = u**2 - 8*u + 9. Let j be w(6). Let i be 1 - (j - (1 + -2)). Suppose -2*a - 4*f = -38, 4*a - i*f - 26 = -f. What is the units digit of a? 9 Suppose -553 = -5*l + 492. What is the tens digit of l? 0 What is the hundreds digit of 7 + 17886/24 - 6/(-8)? 7 Let h = 193 - 142. What is the units digit of h? 1 Let v = 703 - 718. Suppose 0*w + w = 25. Let f = w - v. What is the tens digit of f? 4 Let v be 8/((-4)/((-4)/(-1))). Let r(y) = y**2 + 10. Let s be r(v). Suppose -5*h + s = i - 5*i, 2*h = -5*i + 23. What is the units digit of h? 4 Let m be (3/6)/((-3)/(-30)). Suppose 0*s + 250 = m*s. Let h = -25 + s. What is the tens digit of h? 2 Let n = -101 - -476. What is the units digit of n? 5 Let p(a) = 23*a**2 - a - 4. Let k be p(3). Suppose 4*l = 5*i - k, 5*i - 245 = -4*l - l. Suppose 5*u - i = -19. What is the units digit of u? 5 Suppose 3*p - 3668 = -590. Suppose 2*u - p = -3*u - 4*r, -4*u = 3*r - 821. What is the units digit of u? 6 Let o(q) = -q**2 - 24*q - 8. Let d be o(-12). Let j = d - 102. What is the tens digit of j? 3 Let m = 10 + -6. Suppose 4*b - 2*g + 296 = 2*g, -5*b - m*g = 352. What is the tens digit of (-16)/b - (-196)/9? 2 What is the tens digit of 0/(-5) + (-28)/7 - -40? 3 Let u(k) = 3*k**3 - 2*k**2 - k + 6. Let b be (1 + -2)/(12/(-36)). What is the tens digit of u(b)? 6 Let o(f) = 8*f - 1. Let a be o(1). Suppose 4*v - a - 1 = 4*x, -v + 10 = -5*x. What is the tens digit of 35 + -2 + (v - 3)? 3 Let a = -20 + -47. Let j = a + 111. What is the units digit of 45/10*j/6? 3 Suppose -4*m + 1002 = 298. What is the hundreds digit of m? 1 Let b = 1796 - 725. What is the units digit of b? 1 Suppose 0 = -4*h - 4*b + 164, -2*b - 2*b = 4. Suppose -3*y + 0*y = -h. Suppose -2*l - y = -4*l. What is the units digit of l? 7 Let z(r) = -r**3 - 7*r**2 - 12. Let d be z(-9). What is the tens digit of d/(3 + (1 - 2))? 7 Suppose 53*y = 61*y - 368. What is the units digit of y? 6 Let v be -2 + -1 + 0 + 119. Let c = 248 - v. What is the units digit of c? 2 What is the units digit of (2/13)/1 - 77880/(-104)? 9 Suppose 2*o = o + 59. Let f = -81 - -127. Suppose -o = -3*h + f. What is the tens digit of h? 3 Let c = -6801 - -10992. What is the tens digit of c? 9 Let z = -18 + 16. Let y(i) = -4*i**3 - 2*i**2 + 2. Let r be y(z). What is the units digit of (6/4)/(1/r)? 9 Suppose -k - y + 6 = 0, 2*k + 14 = 5*y + 5. What is the units digit of 4 - (3/(12/(-436)) + k)? 0 Suppose -4*s = -3*b + 20, 0*s + 2*s + 10 = 5*b. Suppose -3*o + 4*c + 36 = b, 6*o - 2*c - 24 = 4*o. Let x = o - -3. What is the units digit of x? 5 Let k(h) = 6*h - 28. What is the units digit of k(16)? 8 Suppose 4*j - 9*j = -20. Suppose -3*x - 2*l + j = -x, 2*x = -l + 4. Suppose -15 = x*m - 39. What is the tens digit of m? 1 Suppose 17 = 2*o + 13. What is the units digit of 10 + 26 + o/(0 - -2)? 7 Let v(z) = -z**2 - 8*z - 10. Let c be v(-6). Suppose -34 = -p - w - 11, -c*w + 18 = p. What is the units digit of p? 8 Let k(u) = -u**3 - 10*u**2 - 2*u. Let s be k(-5). Let h be (-4)/(-10) - s/25. Suppose -h*i + 5*x + 12 = -33, 2*x - 15 = -i. What is the tens digit of i? 1 Let s be 0 - (-3)/(12/16). Suppose -n = 2*n + 2*q - 287, 0 = 5*n + 2*q - 477. Suppose 0 = k + s*k - n. What is the tens digit of k? 1 Let t = -9 - -24. Let f = t + 137. What is the hundreds digit of f? 1 Let m(x) = 7*x - 90. Let r(l) = 4*l - 46. Let p(s) = -3*m(s) + 5*r(s). What is the units digit of p(19)? 1 Let c(f) = -f**3 + 31*f**2 - 47*f + 98. What is the units digit of c(22)? 0 Suppose 0 = -w + 4*w - 24. Let b = w + -6. Suppose b*i + 3*i = 100. What is the units digit of i? 0 Suppose 0 = -2*d + 4*o + 432, -246 = -5*d - 5*o + 909. Suppose 0 = 2*g - 2*f - d, 4*g - 5*f - 226 = 2*g. What is the tens digit of g? 1 Suppose 0 = 3*z - 53 + 2. Let k = z + -24. Let h(o) = -4*o - 16. What is the tens digit of h(k)? 1 Suppose 35*m = 47*m - 31188. What is the tens digit of m? 9 What is the tens digit of (71526/455)/(4/50)? 6 Let u be 19 + (5 + 0)/(-5). Suppose -u*z = -13*z - 420. What is the units digit of z? 4 Let o(t) = 10*t**3 - t**2 - 18*t - 4. What is the units digit of o(6)? 2 Suppose -5*n = 25, -2*x = -7*x + 2*n + 4015. What is the hundreds digit of x? 8 What is the hundreds digit of (590/(-3))/(-7 + 305/45)? 8 Let f = 2500 + -1566. What is the units digit of f? 4 Suppose s = -2*s. Let n = 19 + s. What is the units digit of n? 9 What is the thousands digit of ((-60915)/620)/(3/(-88))? 2 Let o(v) = -v + 7. Let b be o(4). Suppose b*p + 2*i + 2*i = 214, 3*p - 4*i = 182. What is the tens digit of p? 6 Suppose 4*r - 684 = 3*d, -3*r + 3*d + 214 = -302. Suppose -4*o + o - r = 0. What is the units digit of (-15)/(-1)*o/(-21)? 0 What is the hundreds digit of 1/((-2)/(3730/(-1)))? 8 Let b = 222 - -22. Let s = b + -152. What is the units digit of s*((-9)/(-4) - 2)? 3 Let b = -1429 - -1883. What is the tens digit of b? 5 Let u(b) be the second derivative of b**5/20 - 3*b**4/4 + 11*b**2 + 24*b. What is the tens digit of u(9)? 2 Let g = -24 - -34. Let r(k) = 6*k - 7. What is the tens digit of r(g)? 5 Let h = 156 - -11. What is the tens digit of h? 6 Let s(w) = 3*w**2 + 100. What is the tens digit of s(31)? 8 Let i = 279 - 241. What is the tens digit of i? 3 Let q(k) = k**3 - 4*k**2 - 31*k + 101. What is the hundreds digit of q(13)? 2 Suppose -2*r + h = -272, 272 = 3*r - r - 2*h. Let n be 10/35 - r/(-14). Suppose -2*w + n = 3*w. What is the units digit of w? 2 Let f = -1 - -2. What is the hundreds digit
{ "pile_set_name": "DM Mathematics" }
ultiply 0.023 and -47294. -1087.762 What is the product of -0.1818074 and 0.4? -0.07272296 Work out 0.12904 * -2. -0.25808 Product of -19 and 2282. -43358 -0.2 * -262922 52584.4 What is -0.01915 times 0.3? -0.005745 Multiply 169.73 and -10. -1697.3 Multiply 129 and -3808. -491232 Calculate -4148.9*-0.02. 82.978 Product of 34.5 and 5.57. 192.165 What is 11 times -4689? -51579 Work out 59 * 184. 10856 Product of -30 and -44.62. 1338.6 What is 0 times -1.594? 0 What is the product of 17.3 and 6? 103.8 Work out 20.023 * -3. -60.069 Work out -3440 * -23.6. 81184 What is the product of -4 and -225.44? 901.76 0.0051*-58 -0.2958 Multiply 1073416 and 0. 0 Calculate -0.24*-18110. 4346.4 -322.1 times -5 1610.5 Product of 0.1 and -29043. -2904.3 -3 * -29606 88818 0.3 * -150950 -45285 -1.48*1297.5 -1920.3 What is the product of 0 and -153977? 0 Multiply -0.019 and 47203. -896.857 11 * -0.4398 -4.8378 What is -0.5 times -0.0258? 0.0129 Product of 5224 and -1. -5224 What is the product of -2996 and -36.4? 109054.4 What is 67 times 144? 9648 Multiply -19.6 and 7. -137.2 What is 0.3 times -181.715? -54.5145 What is 472.7 times -0.2? -94.54 Multiply -1124.4 and 29. -32607.6 Calculate 15798*4. 63192 Product of 0.00012 and 0.2. 0.000024 0.029*-1532 -44.428 -0.19*457 -86.83 Multiply 7 and -0.0246. -0.1722 1011*-1 -1011 Work out -5106 * 4. -20424 11964 * 3.5 41874 0.13*-1652 -214.76 Product of 457840 and -0.2. -91568 Product of -32043 and -4. 128172 Multiply -10136 and 0.083. -841.288 What is the product of -1.3 and -5881? 7645.3 -1.261 times 65 -81.965 Product of -0.067 and -3441. 230.547 0.5 times -0.25264 -0.12632 Product of -0.0432998 and -0.2. 0.00865996 -0.3 * 12804 -3841.2 Work out -107112 * 12. -1285344 What is 0.61 times -1.09? -0.6649 74*86584 6407216 3*109.9 329.7 Calculate 0.0163251*0.08. 0.001306008 Multiply 2538 and -0.03. -76.14 What is the product of 117.37 and -0.4? -46.948 0.09*-2.637 -0.23733 Calculate -90*-422. 37980 -3*7.25543 -21.76629 1570 * -138 -216660 Calculate 0.0616*11.06. 0.681296 22651*-0.21 -4756.71 Multiply -12 and -84.56. 1014.72 Product of -1197600 and 0.3. -359280 Product of 3 and 66.11. 198.33 Work out 113.28 * 0.06. 6.7968 Multiply -207 and 86.7. -17946.9 Product of 133 and -366. -48678 358*-15.8 -5656.4 What is 7.68 times -3? -23.04 Calculate -273.44*-33. 9023.52 17 * 13.2151 224.6567 What is the product of 0.3 and 0.23318? 0.069954 Product of 6.6 and 1812. 11959.2 Product of -1191718 and -4. 4766872 Multiply 1.4 and 1152. 1612.8 -126.1 * -938 118281.8 Work out -1432.37 * 0.25. -358.0925 16.1 * 867 13958.7 Product of -4 and 57.5801. -230.3204 -1 * -16.6675 16.6675 -0.01 times -47102 471.02 Product of -0.070635 and 13. -0.918255 Work out -2.3 * 2469. -5678.7 Multiply 11535.7 and 1. 11535.7 Calculate -421354*-3. 1264062 Calculate -6*5245. -31470 0.0121 * 3 0.0363 Work out 9 * 24603. 221427 5.17*0.03 0.1551 Product of 4944 and 101. 499344 Product of -10.6218 and 5. -53.109 1 * 35295 35295 Work out -8 * 3.479. -27.832 What is the product of -4513 and -0.04? 180.52 Multiply -0.9 and 5247. -4722.3 What is -0.7 times 36155? -25308.5 Multiply -0.523 and -0.101. 0.052823 Multiply -9424 and -306. 2883744 -266 * 5 -1330 What is the product of -9 and -9599? 86391 Work out 0.045324 * -0.02. -0.00090648 Work out -42.787 * -9. 385.083 Multiply -2411.28 and -4. 9645.12 Calculate -1367*-0.0701. 95.8267 Multiply -19.5 and -14.23. 277.485 What is -665 times 23? -15295 -0.06731 * -5 0.33655 Calculate 8423*-297. -2501631 -0.4 times 16081 -6432.4 Calculate -0.04686*0.007. -0.00032802 What is -0.4 times 573094? -229237.6 Multiply 3598 and 3.3. 11873.4 -0.04*-0.1533 0.006132 Calculate -476*-0.56. 266.56 Multiply -5 and -7129. 35645 -5 * 1407.1 -7035.5 -32.66*0.01 -0.3266 What is the product of -76 and -0.068? 5.168 What is 0.1466 times -33? -4.8378 What is the product of -0.3 and 55.06? -16.518 -761 * 39 -29679 Product of 0.21 and -311. -65.31 What is the product of -0.2 and 328842? -65768.4 Product of 0.10092 and 1. 0.10092 Product of -0.04 and -244.6. 9.784 What is -437 times -1072? 468464 -0.17 * -138355 23520.35 Work out 36712 * -3. -110136 Multiply 14 and 1451.3. 20318.2 Calculate -0.783*-0.09. 0.07047 What is 19.87 times 0.06? 1.1922 What is -1104541 times -0.1? 110454.1 Product of -6 and 216714. -1300284 Calculate -8*6582. -52656 What is -19.6 times -0.1446? 2.83416 What is the product of -13 and -0.040084? 0.521092 Work out -0.18549 * 32. -5.93568 What is the product of 0.2 and -39.215? -7.843 What is the product of 46 and -169? -7774 What is the product of -703670 and 0.2? -140734 -138.263 times 0.2 -27.6526 -505 times 68 -34340 Work out -0.56 * -39.2. 21.952 Product of -3187616 and -2. 6375232 7 times -69.5171 -486.6197 4.4607 times 6.4 28.54848 Multiply 17 and -434024. -7378408 -335.9 * -0.03 10.077 0.017127 * 0.4 0.0068508 Product of -0.2 and -414155. 82831 What is the product of -4 and -283197? 1132788 43 times 742 31906 Multiply 111.3 and 1275. 141907.5 -366*35 -12810 Multiply 2960 and -8. -23680 -0.3 times -0.05 0.015 1*-92.2 -92.2 What is the product of 21 and -15.35? -322.35 6*-1192.5 -7155 0.7126 times 0.4 0.28504 Work out 0.3 * -1681.14. -504.342 What is the product of 2 and 264091? 528182 Product of 0.4 and -1425.31. -570.124 What is -0.022 times -424? 9.328 4*-0.06525 -0.261 168 * -85 -14280 What is the product of -0.2 and 51.0447? -10.20894 Work out -153 * -199. 30447 Calculate 27939*8. 223512 1.03*-146 -150.38 What is 2 times -11045? -22090 Calculate -0.1*1.9792. -0.19792 -0.3 times 1.95 -0.585 -6.0797 times 0.8 -4.86376 0.02 * -4743 -94.86 17.3*-419 -7248.7 Calculate -0.08*-20.184. 1.61472 What is -233423 times -0.3? 70026.9 0.0929 * -8.51 -0.790579 Product of -0.19 and 1628. -309.32 What is the product of -3.57 and -113? 403.41 Multiply -460 and 0.209. -96.14 10.0959*-0.4 -4.03836 -5 * 0.0143628 -0.071814 41.645*-0.15 -6.24675 2.629 * 0.1 0.2629 Multiply 0.03 and 105285. 3158.55 What is -260 times -86? 22360 Calculate -0.438*1295. -567.21 Work out 515 * -13.03. -6710.45 Product of -11.9756 and -0.28. 3.353168 -0.012 times -1.102 0.013224 What is the product of 0.1 and 19.605? 1.9605 -0.5 * 100.177 -50.0885 Product of 31861 and 0.09. 2867.49 0 times -54733 0 0.9 times 5214 4692.6 Multiply 68672 and 0.06. 4120.32 Product of -0.1 and -256328. 25632.8 Multiply -0.3 and 14809. -4442.7 Work out 1.5 * -1291. -1936.5 What is -0.3 times 326.5? -97.95 0.17*-2684 -456.28 -0.4 * 105466 -42186.4 Multiply 3989 and 7. 27923 Work out 0.15 * -65.62. -9.843 Calculate 11*-0.2517. -2.7687 Product of 87.92 and -188. -16528.96 Work out 10.25 * -0.18. -1.845 What is -8962 times 14? -125468 What is -0.06026 times 0.1? -0.006026 What is -12291.8 times 2? -24583.6 Product of 1328.344 and 3. 3985.032 What is the product of -13.74 and 302? -4149.48 0.5 times 1346664 673332 Work out 0.02218 * 0.06. 0.0013308 Product of -4 and 0.050943. -0.203772 What is the product of 48 and -5.54? -265.92 What is -5.41 times -14? 75.74 Multiply -1078739 and -2. 2157478 Product of -6.2 and 0.09. -0.558 Work out 0.353 * 0.075. 0.026475 -7 times 4256 -29792 -4*9506 -38024 0.1 times 69.971 6.9971 Product of 0.3 and 17073.4. 5122.02 -211532*0.4 -84612.8 What is the product of -0.45887 and 2.1? -0.963627 0.4 times -0.085474 -0.0341896 Product of -1.3 and -6.6. 8.58 0.3*10.1123 3.03369 Multiply -0.1 and 225.87. -22.587 Calculate 1*51.88. 51.88 16.85 times -2 -33.7 Multiply -1.39 and -2.828. 3.93092 1 * -22686 -22686 What is -828 times -537? 444636 Work out 211 * -1.1. -232.1 5.95948 times 5 29.7974 What is the product of 18597 and 0.05? 929.85 What is 1 times 0.028349? 0.028349 984 times -0.14 -137.76 -768*83 -63744 What is the product of 0.12633 and -0.3? -0.037899 -0.5*26999 -13499.5 Work out 7.3467 * 0.2. 1.46934 0.3 * -5.8109 -1.74327 What is the product of -5977.3 and 1? -5977.3 3*0.128906 0.386718 -2735 * -19 51965 21799 times 26 566774 Work out -770 * -13. 10010 What is the product of 0.49696 and -4? -1.98784 0.053 * -2 -0.106 What is the product of -0.82 and -10.1? 8.282 What is the product of 0.1 and 244.89? 24.489 Multiply 16 and -21.89. -350.24 55814 times 0.7 39069.8 Product of -220 and -52.7. 11594 Work out 0.4 * 7.868. 3.1472 Multiply -0.5 and -11. 5.5 Produc
{ "pile_set_name": "DM Mathematics" }
. Put q, 2, b in descending order. 2, q, b Let k = 11510 + -11508. Put k, 3, 4, 0.097 in decreasing order. 4, 3, k, 0.097 Let p be 20 + -6 - (-27 - -44). Sort 5, p, 1, -5, 10 in descending order. 10, 5, 1, p, -5 Let x = 2942 - 2942. Put x, 3, 46, -2 in descending order. 46, 3, x, -2 Let s = -43/894 + 32/149. Put 3, s, -0.42, -11, 0 in descending order. 3, s, 0, -0.42, -11 Let y be 5/(-2)*7/(56/(-16)). Suppose 0 = 5*q - q - 4. Sort -4, q, -9, y in decreasing order. y, q, -4, -9 Suppose -411 = 24*l - 226 + 223. Sort 6, 2, l. l, 2, 6 Let m = -31049 - -31054. Put -3, 0, -2, m, -91 in ascending order. -91, -3, -2, 0, m Suppose -173*f + 292 + 214 = 160. Put 0, -1, -70, f in ascending order. -70, -1, 0, f Let y = -181 + 197. Put -2, -15, y in descending order. y, -2, -15 Let i be (-10 + 7)/((12/16)/(-1)). Let n = 3 - 5. Let x be 0/(-3) - (-2 - n). Put 1, x, 3, i in descending order. i, 3, 1, x Suppose 0 = -a + 5*a + 2*r + 6, -4 = 4*a + 4*r. Let i = 17494 - 17494. Sort i, 4, 0.39, a in decreasing order. 4, 0.39, i, a Let c = 326.89 - 326.5862. Put 0.5, 0.2, c in increasing order. 0.2, c, 0.5 Let t = -316 + 1891/6. Let j = -8 - 5. Let b = 146.35 - 149.35. Put j, t, b, -5 in increasing order. j, -5, b, t Let f = -1/5 - -13/15. Let q = 236.5 - 236. Sort q, -0.2, f, 1/20. -0.2, 1/20, q, f Suppose 3*m = -4*s - 29, s + 2*m + 1 + 0 = 0. Sort s, 1, 5. s, 1, 5 Let w = -175.76 + 3.76. Let l = w + 172.5. Let g = 0.45 + -0.4. Sort l, 0.3, g in descending order. l, 0.3, g Suppose -7*p - 86 = -44. Let q be (-4)/p + (-22)/33. Sort q, 3, -343 in ascending order. -343, q, 3 Let p be (-24)/(-64) + (-5)/8. Let v = -40.2 + 40.2. Sort -0.3, p, -0.5, v in ascending order. -0.5, -0.3, p, v Let l = -9 + -101. Let d be (-6)/(-15) + 24/l. Let p be (5 + -15 + 13)*(-8)/6. Put p, -3, d in descending order. d, -3, p Suppose 8*q - 6*q + 14 = 4*n, -5*q = 5*n + 20. Let i = n + -35. Suppose 2*l = -0*l. Put l, 5, i in ascending order. i, l, 5 Let i(b) = -b**2 - 40*b + 176. Let t be i(-44). Let g(f) = 3*f**3 + 2*f**2 + f. Let d be g(-1). Suppose -2*x = 5 - 11. Sort t, d, x in descending order. x, t, d Let h = -19.0698 + 142.3368. Let z = h - 0.267. Let v = z + -121. Sort v, 0.3, -11, 4 in ascending order. -11, 0.3, v, 4 Suppose 5*o = 3*y + 31, -5*o + 33 = -2*y + 4. Let h = 459 + -475.9. Let v = h + 18. Sort v, 0.1, y in decreasing order. v, 0.1, y Let g(w) = w**2 + 37*w + 286. Let r be g(-14). Sort 21, -4, r. r, -4, 21 Let n = 30.01754 + -0.01754. Sort 4, -0.3, n, 0.8 in descending order. n, 4, 0.8, -0.3 Let c be (3 - -2) + (16 - 16) + (-152)/32. Let t = -137/657 + -1/73. Let a be 4 - (-4)/(20/(-15)). Sort c, 3, t, a in decreasing order. 3, a, c, t Let j be ((-3408)/5680)/((-26)/20 + 1). Sort j, -34, -41. -41, -34, j Let j = -345/476 - -17/28. Sort 2, 4, j, 1 in increasing order. j, 1, 2, 4 Let c = 121 - -28. Suppose c = -27*t - 445. Sort 2, t, -2 in decreasing order. 2, -2, t Let s = 114 - 106. Suppose -s*t + 6*t = -8. Put t, 2, -2, -5 in increasing order. -5, -2, 2, t Let g(a) be the first derivative of a**3/3 - 15*a**2 - 5*a - 31. Let b be g(30). Let n = -152/219 - -2/73. Sort -1/6, b, -1.1, n in increasing order. b, -1.1, n, -1/6 Suppose 0 = 2*v + 8*v + 40. Let a = -200 + 1402/7. Put a, -7, v in descending order. a, v, -7 Let n be (-3)/6*74/111. Put -9, -1, 1/7, n in increasing order. -9, -1, n, 1/7 Suppose -11*h + 9*h + 77 = 9*h. Put -6, h, -4 in decreasing order. h, -4, -6 Let i be 0 + 0 - 3/1. Let a = -35497/47340 + -2/11835. Put 0.6, a, i, 13 in ascending order. i, a, 0.6, 13 Suppose -s - 4 = -2*s + 4*w, -3*s - 4*w + 12 = 0. Let m = -2488 + 2482. Let f(j) = -2*j**2 - 20*j - 20. Let u be f(-9). Put 5, m, s, u in descending order. 5, s, u, m Let p = 3.226 + -1.226. Sort p, -4, 6/29. -4, 6/29, p Suppose -2*z + 8 = 4, -o = z + 16. Sort 3, -3, 6, o in descending order. 6, 3, -3, o Let v be (2 - (-36)/(-8))/(3/(-12)). Suppose -i - 4 = 3*h - 15, -2*i + v = 2*h. Let m be 3 + -1 + h + -5. Put m, -1, -3 in descending order. m, -1, -3 Let d = -9334 - -9337. Sort -8, 0, d, -3, -2 in decreasing order. d, 0, -2, -3, -8 Let t(s) = 4*s**2 - 2*s - 1. Let g be t(-1). Let p(f) = -3*f**2 + 2*f**2 - 3*f + 19 + 32. Let h be p(-9). Sort h, g, 2, -2 in descending order. g, 2, -2, h Let i(c) = -2*c**2 + 4*c + 156. Let w be i(10). Sort 5, -5, -2, 3, w in ascending order. -5, w, -2, 3, 5 Let j = 9477 - 9473. Sort j, -0.5, -2/7, -0.21, -0.1 in ascending order. -0.5, -2/7, -0.21, -0.1, j Let c = -0.3 + -0.1. Let a = -1641.6 - -1642. Let z = -169 + 1520/9. Put 3, a, c, z in descending order. 3, a, z, c Let a = 4733 + -4738. Put 5, -4, a, 3, -2 in increasing order. a, -4, -2, 3, 5 Let b be ((-1)/2)/(-51 + 52) - (-21)/35. Put b, 0.01, 0.5 in ascending order. 0.01, b, 0.5 Let o = 2268 - 13078/7. Let b = o - 400. Put b, -18, 5, -0.2 in descending order. 5, -0.2, b, -18 Let c = -220/3 + 3077/42. Let p = -798/5 + 159. Sort p, c, 2 in descending order. 2, c, p Let h be (1/2)/(4/(-12)). Let i = 0.102206 - 0.202206. Put 14, h, i, -4 in descending order. 14, i, h, -4 Let p = -1961.2 - -1963.2. Let f = -3 - -2. Sort p, f, -1/7 in increasing order. f, -1/7, p Suppose 3*w - 10 = -5*s, -19*w + 18*w - 5*s = 0. Put 1, -1, 85, w in increasing order. -1, 1, w, 85 Let j = 96 - -100. Let f be (5 - -4) + j/(-21). Let c = 12 - 12.7. Put c, f, 3 in decreasing order. 3, f, c Let x be (7 + -8)*-2 + -2 - 0. Sort 2, x, 1, -4, -456 in ascending order. -456, -4, x, 1, 2 Let g = -274 + 457. Let z = 187 - g. Sort z, 0, 11, -3. -3, 0, z, 11 Let a = -12.6139 + 12.55. Put -5, -1/8, a in descending order. a, -1/8, -5 Let y(r) = -10*r - 98. Let d(s) = -15*s - 99. Let f(h) = -3*d(h) + 2*y(h). Let l be f(-4). Put 8, 0, l, 3 in descending order. 8, 3, l, 0 Suppose 0 = f + 2*n - 173, 435 - 97 = 2*f - 4*n. Suppose h + 174 = f. Put h, 15, 1, -1 in descending order. 15, 1, -1, h Let n = -1.7 - 0.2. Let w = 2 + n. Let f(h) = -3*h**2 + 2*h + 277. Let z be f(10). Sort z, w, -2/9 in decreasing order. w, -2/9, z Let d = -44061 + 44101. Sort 4, 1, d, 3. 1, 3, 4, d Let j be (-10)/4*(-6 - -5)/(10/(-8)). Put -3, j, 13, 31 in decreasing order. 31, 13, j, -3 Let x be (-52)/14 + (-2)/7. Let w be x*235/60*-3. Sort 3, -2, w. -2, 3, w Suppose -67*l + 58*l = 0. Suppose l = -4*c - 101 + 85. Put c, -100, -3 in ascending order. -100, c, -3 Let p = 9701 - 9544. Put 0, p, 1, 2, -1 in increasing order. -1, 0, 1, 2, p Let g = -0.08 - 1.52. Let h = g + 2.1. Let d = 1374.05 + -1374. Sort h, 2/5, d, 0.1 in decreasing order. h, 2/5, 0.1, d Let f(y) = 5*y**3 + 141*y**2 + 32*y + 108. Let p be f(-28). Sort 2, -2, p. p, -2, 2 Suppose 212 = 3*a + 29*t - 34*t, -3*a - 5*t + 172 = 0. Let p be (a/6 - 0) + (-8)/(-24). Sort 0, p, 5, 3. 0, 3, 5, p Let l = -80.31 - -160.31. Sort l, 4/7, 1. 4/7, 1, l Let h = 826.8 + -827.1. Put h, -1.1, -18, -1 in descending order. h, -1, -1.1, -18 Suppose -5*s - 28 = 3*x, 13*x = 10*x - 2*s - 31. Sort x, 5, -17, 3 in ascending order. -17, x, 3, 5 Let y = 174 + 4. Let j = y - 174. Sort -1, -4, 2, j. -4, -1, 2, j Let r = -4 - -8.8. Let j = 4.3 - r. Suppose 0*u - 3 = -3*h - 4*u, 4*h - u = -15. Sort j, h, 0 in decreasing order. 0, j, h Let n = -7 - -12. Suppose 4*p + 7 = -13. Let w = -1215 + 7285/6. Put n, w, p in decreasing order. n, w, p Let z be -1 + 5*24/(-20) + 7. Sort 2, -16, z, -1, 1. -16, -1, z, 1, 2 Let h be (-252)/48*((-5)/1 + 1). Suppose 0 = 5*n - h + 36. Sort 0, n, -33 in descending order. 0, n, -33 Let o(h) = -11*h**3 - 2*h - 1. Let k be o(-1). Let z be 27/(-18)*(5/(-3))/((-860)/1376). Sort -5, k, z, 0 in decreasing order. k, 0, z, -5 Let a(m) = -3*m**3 - 18*m**2 + 17*m - 26. Let t be a(-7). Suppose 28*c - 6 = 26*c. Sort t, -1, -4, c in decreasing order. c, t, -1, -4 Let j = 1 - -1. Suppose 0 = -93*z + 102*z + 267 - 249. Sort -7, 5, j, z. -7, z, j, 5 Let n be -3*(-2 - 3 - -4). Suppose 2*h - 3*t + 2*t = n, -3*h + 6 = -t. Sort 0, h, 9, -2. -2, 0, h, 9 Let y = 3.29 + 0.71. Let a = 30 - 18. Let x = -12.5 + a. Sort x, 2/9, y in ascending order. x, 2/9, y Let u = -552 - -552. Suppose u = -4*z + 2*d + 14, -3*z - 2 = 2*z + 4*d. Let y be 1 + -4 + 1/1. Put z, y, 33 in ascending order. y, z, 33 Let f(m) = -m**2 - 64*m + 61. Let n be f(1). Sort n, 4, 3, 115, -2 in decreasing order. 115, 4, 3, -2, n Let j = -304027 - -304027.1. Let m = -85/99 - -7/11. Put
{ "pile_set_name": "DM Mathematics" }
ime factors of j. 5, 97 Let d(j) = -71*j - 134. What are the prime factors of d(-15)? 7, 19 Suppose -175 = 4*o + 17. Let g be (3/2)/(o/(-64)). Suppose g*v = v - 4*l + 30, -2*v + 5*l + 86 = 0. List the prime factors of v. 2, 19 Suppose 54*k + 21600 = 70*k. List the prime factors of k. 2, 3, 5 Let i(j) = -j + 6. Suppose -2*g + 3*g = -6. Let l be (0*2/g)/2. List the prime factors of i(l). 2, 3 Let y = 6630 - 1727. What are the prime factors of y? 4903 Let z(v) = -v**3 + 7*v**2 + v + 8. Let f be z(7). Let l = 9 + f. List the prime factors of l. 2, 3 Suppose 0 = 181*l - 182*l + 212. List the prime factors of l. 2, 53 Let q(h) = -h**3 + 11*h**2 + 10*h + 26. Let u be q(12). Suppose -u*v = -6*v + 296. What are the prime factors of v? 2, 37 Suppose 4*d + 204 = 10*d. Let n = d + -15. What are the prime factors of n? 19 Let c = -108 - -145. Suppose 3*y = u - 136 - c, 356 = 2*u + 4*y. What are the prime factors of u? 2, 11 Let x(w) be the second derivative of -5*w**3/6 - w**2 - 6*w. List the prime factors of x(-10). 2, 3 Let f(h) be the first derivative of -h**2 - 12 + 78*h - 1/3*h**3. What are the prime factors of f(0)? 2, 3, 13 Let i(c) = -c + 7. Let p be i(4). Suppose -w - 17 = 4*z, -5*z - p = 2*w + 19. What are the prime factors of 4/8*-58*w? 29 Suppose -27*y + 5337 = -24*y. List the prime factors of y. 3, 593 Let u = -10 + 12. Suppose -u*p - j - 6 = -6*j, -3*j = -4*p + 2. Suppose 0 = -p*h + 4*h - 28. List the prime factors of h. 2, 7 Suppose -3*s + 3*k + 20 = -8*s, 3*s = -k - 12. Let p = 1 - s. Suppose -2*w + 16 = 4*d - 6, 0 = 2*w + p*d - 17. List the prime factors of w. 3, 7 Suppose -4*m = 7*i - 10*i - 1675, 3*i + 15 = 0. List the prime factors of m. 5, 83 Suppose 2*i - 2 = -20. Let b be ((-12)/i)/(4/9). List the prime factors of 23 + (1 - b) + 0. 3, 7 Let q = -236 + 99. Let w = -25 - q. What are the prime factors of w? 2, 7 List the prime factors of 21885/(-20)*1/(12/(-16)). 1459 Suppose 31 = -2*f - 31. Let l = 53 + f. Suppose -8 = -2*o + l. List the prime factors of o. 3, 5 Let g(n) = 25*n**2 - 12*n + 44. List the prime factors of g(-8). 2, 3, 5, 29 Suppose 0 = -2*u + i + 184, 4*u + 5*i = 254 + 142. Suppose -2*p - u = -2*m, 5*p + 2*m = -2*m - 280. Let y = p - -102. What are the prime factors of y? 2, 5 Let w(n) be the third derivative of n**6/120 + n**5/5 - 2*n**4/3 + 11*n**3/6 - 4*n**2. Let f be w(-13). What are the prime factors of (f/2)/((-5)/(-10))? 2, 5 Let r(g) = -647*g + 10. Let m be r(-2). Suppose 9*t = m - 161. List the prime factors of t. 127 Let u(w) = -w**3 - 10*w**2 + 10*w - 12. Let z be u(-11). What are the prime factors of (z - 10/(-4))/(6/432)? 2, 3 Let p(y) be the third derivative of -y**5/60 - y**4/6 - 4*y**2. Let v be p(-3). What are the prime factors of (4/v)/(2/3)? 2 Let v(a) be the third derivative of a**5/60 + 5*a**4/8 - 19*a**3/6 - 36*a**2. List the prime factors of v(9). 197 Let x(i) be the second derivative of i**4/12 - 2*i**3/3 + 9*i**2/2 - 3*i. Let j be 130/16 - (-6)/(-48). What are the prime factors of x(j)? 41 Let p(f) = -219*f**3 - f**2 + 8*f + 16. List the prime factors of p(-2). 2, 19, 23 Let w(z) = -z**3 - 3*z**2 - 14*z - 13. What are the prime factors of w(-8)? 419 Let y(r) = -13*r**3 + 2*r - 1. Suppose -8*h - 2 = -7*h. List the prime factors of y(h). 3, 11 Suppose 3*s = 4*s - 1. Let m be 0 - (s + -3) - -1. Suppose 4*u - 81 = -0*u + 5*n, u - m*n - 29 = 0. What are the prime factors of u? 2, 7 Suppose 30 = -0*m + 2*m. Let z = m - 10. Suppose 3 = z*i - x - 145, x - 26 = -i. What are the prime factors of i? 29 Let g = 248 + -207. What are the prime factors of g? 41 Suppose -8026 = -3*n - 2*m, -4*n - 4*m = -5*n + 2666. What are the prime factors of n? 2, 7, 191 Let m(n) be the first derivative of -2*n**2 - 13*n - 2. Let z = 22 + -28. What are the prime factors of m(z)? 11 Suppose 10*j = 5*j + 440. Suppose g = -w + 40, -w = w - 2*g - j. Suppose 3 = 5*v - w. List the prime factors of v. 3 Suppose -4*v - 9 = -65. Suppose 0*y = y - v. Let h = -7 + y. What are the prime factors of h? 7 Suppose 6*x - 6 = 4*x. Let w be (-15)/(-6)*6/x. Suppose w*r + 27 = 87. List the prime factors of r. 2, 3 Let g = 2743 + -249. What are the prime factors of g? 2, 29, 43 Let l(p) = -27*p + 3. Let z be l(2). Let v be 81/(-270) - 773/(-10). Let b = v + z. What are the prime factors of b? 2, 13 Let s(l) = -50*l + 213. What are the prime factors of s(-12)? 3, 271 Let o(s) = -11*s + 99. Let x be o(12). Let f = x + 297. List the prime factors of f. 2, 3, 11 Suppose 210 = h + 5*h. Let f(t) = -4*t - h - 3*t + 23. What are the prime factors of f(-9)? 3, 17 Let t(l) = -29*l**3 + l**2. Suppose -1 = 3*s - 4. Let p be t(s). List the prime factors of 7/p + (-507)/(-12). 2, 3, 7 Let g = -5 + -12. Let u = 43 + g. List the prime factors of u. 2, 13 Suppose -5*o = -4*m + 229 - 731, 0 = -5*o + 3*m + 499. Let n be (14/(-3 - -2))/(8/32). Let x = o + n. List the prime factors of x. 2, 3, 7 Suppose -z - z + 6 = 0. Let m be (2 + 2)*z/6. What are the prime factors of -5*27*m/(-10)? 3 Let b(v) = 1 - v + 0 + 1 + 1. Let x be b(-3). What are the prime factors of (-64)/x*(-6)/4? 2 Let u be (7720/(-10))/(-2 + 0). Let f = u + -157. List the prime factors of f. 229 Let t(c) = -5*c. Let o(l) = 4*l - 1. Let s(r) = 4*o(r) + 5*t(r). What are the prime factors of s(-6)? 2, 5 Suppose 185*k - 190*k = -2240. What are the prime factors of k? 2, 7 Suppose 1505*d = 1504*d + 2018. What are the prime factors of d? 2, 1009 Let g = -113 + 214. Suppose y - 4*r - g = 0, -y = 3*y + 4*r - 504. What are the prime factors of y? 11 Let t = 61 + -109. Let j(w) = 2*w**3 + 2*w**2 - 2*w + 4. Let f be j(3). Let g = f + t. List the prime factors of g. 2, 11 Let h(t) = 2*t**2 - 4*t - 8. Let s(o) = -3*o + 13. Let j be s(2). What are the prime factors of h(j)? 2, 31 Let v = 10 - 6. Suppose -7*h = 2*h - 18. Suppose -74 = -c - h*a, c - 80 = -a - v*a. List the prime factors of c. 2, 5, 7 Let g be (1 - 2)*-3 - (11 + 0). Let w(i) = i**3 + 9*i**2 + i + 4. What are the prime factors of w(g)? 2, 3, 5 Suppose i + 7 = 14. Suppose -2*t - 170 = -i*t. Suppose -4*n - 2*d = -186, -2*n - 4*d + 74 + t = 0. List the prime factors of n. 2, 11 Let t(j) = 2*j**3 - 2*j**2 - 3*j - 9. List the prime factors of t(6). 3, 37 List the prime factors of (((-63)/(-2))/3)/(28/56). 3, 7 Suppose 2*h = -h - 6, -2*s - h = 2. Let l(y) = -y**3 + 3*y**2 + 2*y - 1. Let w be l(2). Suppose b - w - 7 = s. What are the prime factors of b? 2, 7 Let f(i) be the first derivative of i**2/2 + 4. Let c(n) = -7*n + 1. Let v(w) = -c(w) - 4*f(w). List the prime factors of v(3). 2 Suppose -22*m + 4 = -21*m. Suppose -m*q + 3*n + 96 = -q, 3*n - 156 = -4*q. Suppose 3*s - 102 = -u - q, -54 = -2*s - 4*u. What are the prime factors of s? 3, 7 Suppose 2*f = 4*f - 4. Let z(p) = -6*p**2 + 47*p - 11. Let j be z(6). Let v = j - f. List the prime factors of v. 53 What are the prime factors of 1514/7 - (-58)/(-203)? 2, 3 Let j = 756 + 323. List the prime factors of j. 13, 83 Suppose -4*n = -0*n - 8. Let l be 4/n*(-14 - -11). List the prime factors of (368/12)/(-4)*l. 2, 23 Let s be (2 - 3)/(2/(-4)). Suppose -x + 5*p = -76, 2*p = -x - s*x + 245. What are the prime factors of x? 3 Let g = 336 - 289. List the prime factors of g. 47 Suppose -589*k + 24620 = -579*k. List the prime factors of k. 2, 1231 Let h = 2 + -35. Let u(r) = 3*r + 124. Let o be u(-23). Let g = o + h. List the prime factors of g. 2, 11 List the prime factors of (-1)/2 - ((-40095)/22 + -2). 2, 3, 19 Let l = 6 - 1. Let w(u) = -u - 17 + l + 9*u + 0*u. List the prime factors of w(8). 2, 13 Let d be 80/(-6)*(-1 - 2). Let t = -7 + d. List the prime factors of t. 3, 11 Suppose 34 = -3*i + 151. Suppose -5*o + 2*k = -335, -3*o - 2*o + 345 = -4*k. List the prime factors of (-6)/i + 1440/o. 2, 11 Let g(c) be the second derivative of -2*c**3/3 + 7*c**2/2 - c. Let s be (9/2)/((-6)/16). What are the prime factors of g(s)? 5, 11 What are the prime factors of 7 - (-9 - -8) - -633? 641 Suppose -16*o + 21*o - 15 = 0. Suppose -8*g + o*g + 40 = 0. Suppose -5*w - 24 = -g*w. What are the prime factors of w? 2 Let h(b) = -b**2 - 4*b. Let z be h(-4). Suppose -182 = -22*a + 8*a. Suppose z = -n + 7 + a. List the prime factors of n. 2, 5 Let x(r) = -2*r**3 + 26*r**2 + 1. Let m(c) = -c**3 + 13*c**2. Let a(v) = -5*m(v) + 2*x(v)
{ "pile_set_name": "DM Mathematics" }
= i. Let v(t) = -t. Let r(z) = 3*j(z) + 2*v(z). Let f(a) be the second derivative of a**3 + 10*a. Calculate f(r(o)). 6*o Let o(n) = -2*n. Let l(g) = -17*g**2 - 13. Let d(y) = 8*y**2 - 4*y**2 + 1 + 2. Let h(q) = 26*d(q) + 6*l(q). Determine o(h(a)). -4*a**2 Let z(d) be the first derivative of -d**2/2 - 8. Let m(q) = -2*q**2. What is z(m(s))? 2*s**2 Let s(p) = -55*p. Let f(y) = 11*y**2. Determine s(f(d)). -605*d**2 Let f(n) = 2*n**2 + 0*n**2 + 0*n**2. Let c(b) = b**2 - 4*b. Let q be c(4). Let j(z) = -3*z**2 + 0 + q. Determine f(j(h)). 18*h**4 Let q(g) = 3*g - g - 4*g. Let l(x) = 7*x - 3. Let y(h) = -1. Let o(n) = -l(n) + 3*y(n). Give q(o(r)). 14*r Let u(h) = -28*h + 10. Let m(k) = 9*k - 3. Let l(b) = 10*m(b) + 3*u(b). Let g(d) = -16*d. Give g(l(r)). -96*r Let i(k) = -3*k. Let o be 3 - -10*1/(-2). Let d(f) = -5*f. Let x(z) = -z. Let r(p) = o*d(p) + 9*x(p). What is r(i(s))? -3*s Let c(d) be the first derivative of d**3/3 - 1. Let g(l) be the first derivative of 2*l**3 + 12. Give g(c(s)). 6*s**4 Let u(x) = 26*x. Let v(g) = 75*g**2. What is u(v(r))? 1950*r**2 Let w(r) = -13*r**2. Let g(t) = 109*t. Give w(g(b)). -154453*b**2 Let u(r) = r. Let m(q) = 388*q. What is m(u(n))? 388*n Let y(m) = 8*m**2 - 11. Let s(n) = 5 + 6*n**2 - 3*n**2 - 9. Let b(o) = 11*s(o) - 4*y(o). Let x(u) = u**2. Give b(x(g)). g**4 Let q(i) = -3*i**2. Let p(z) be the third derivative of 0 + 0*z - 3*z**2 + 0*z**4 - 1/60*z**5 + 0*z**3. What is p(q(b))? -9*b**4 Let k(u) be the first derivative of u**4/12 - u**2 + 1. Let n(q) be the second derivative of k(q). Let z(j) = -2*j. Calculate n(z(i)). -4*i Let k(d) be the second derivative of -d**4/6 + 4*d. Let w(j) = -j. Determine k(w(h)). -2*h**2 Let a(h) = 2*h. Let q(f) = -62*f - 3. Determine a(q(k)). -124*k - 6 Let r(u) = -3*u**2. Let i(d) = 2774*d. Calculate i(r(j)). -8322*j**2 Let a(c) = 6*c. Let m(r) = -r**2 + 3*r**2 + 4 - 4*r**2 - 1. Let k(w) = -w**2 + 1. Let o(y) = 3*k(y) - m(y). Determine o(a(u)). -36*u**2 Let c(r) = -2*r. Let f(q) be the first derivative of 61*q**2/2 - 4. What is f(c(y))? -122*y Let q(z) = 5 - 5 - 3*z. Let k(w) = w**2 - 57*w + 57*w. What is q(k(b))? -3*b**2 Let d(i) = 4*i**2. Let y(k) be the second derivative of -k**4/3 + 6*k. Calculate y(d(m)). -64*m**4 Let o(g) = -31*g**2. Let s(x) = 9*x. What is o(s(d))? -2511*d**2 Let z(b) = 16*b**2 - 4 + 4 - 15*b**2. Let t(x) = -26*x**2. Calculate t(z(k)). -26*k**4 Let o(c) = -2*c. Let w(r) = 4*r. Let d(j) = -9*j. Let y be 5/(35/(-2))*-7. Let q be (-27)/(-2) - 1/y. Let a(m) = q*w(m) + 6*d(m). What is a(o(h))? 4*h Suppose 0*g = -g. Let n(p) = p + 0*p + g*p. Let c(o) = o. What is c(n(u))? u Let y(u) = u**2. Let h(c) = -11*c + c + 2*c. Give h(y(i)). -8*i**2 Let z(x) = -2*x + 4*x + 0*x. Let t(a) = 13*a - 7. Let g(u) = 7*u - 4. Let h(k) = 7*g(k) - 4*t(k). Let j(b) = -b. Let r(n) = 3*h(n) - 12*j(n). Determine r(z(w)). 6*w Let a(v) = 1. Let i(y) = 2*y. Let r(z) = -6*a(z) + i(z). Let n(t) = -2*t**2. What is n(r(q))? -8*q**2 + 48*q - 72 Let k(i) = 3*i. Let t = -17 - -17. Let a(b) be the second derivative of b + 1/6*b**3 + t*b**2 + 0. Calculate k(a(j)). 3*j Let q(t) = 7*t. Let j(p) = 2155*p**2. Give q(j(h)). 15085*h**2 Let m(h) = 2*h**2 + 1076. Let i(g) = 3*g. Determine m(i(s)). 18*s**2 + 1076 Let a(c) = -c. Let m(h) = 813*h**2. Determine m(a(b)). 813*b**2 Let d(z) = -39*z + 27. Let j(n) = 3*n - 2. Let y(c) = -2*d(c) - 27*j(c). Let g(o) = -4*o. Give y(g(l)). 12*l Let x(i) = i**2. Let m(d) be the second derivative of d**4/3 - 4*d. Give m(x(y)). 4*y**4 Let a(f) = 51*f**2. Let t(q) = 0*q**2 + 11*q**2 - 10*q**2. What is t(a(d))? 2601*d**4 Let u(q) = -9*q + 3. Let f(b) = -b - 1. Let w(r) = -r - 2. Let n(c) = 4*f(c) - 2*w(c). Calculate u(n(h)). 18*h + 3 Let d(a) = -483 + 483 + a. Let m(l) = -37*l**2. Give d(m(q)). -37*q**2 Suppose -4*z = 3*s - 15, -2*z + 3*z = -3*s + 15. Suppose 0 = -3*m + a + 8, -m + s*a - 2 = 0. Let r(i) = 0*i - m*i + 5*i. Let u(w) = w. Give u(r(q)). 2*q Let g(p) = p**2 - 3. Let u(j) = 3*j**2 - 8. Let s(v) = 8*g(v) - 3*u(v). Let k(q) = -36*q. Calculate s(k(o)). -1296*o**2 Let c(o) = -3*o**2. Let z(n) = -32*n**2 - 16*n + 32. Let a(t) = -t**2 - t + 2. Let h(b) = -16*a(b) + z(b). Calculate c(h(k)). -768*k**4 Let k(j) = j. Let g(z) = 2*z. Let y(i) = -g(i) + 6*k(i). Let l(d) = 3*d + d**2 - 3*d. Calculate y(l(r)). 4*r**2 Let t(z) = 2*z. Let c(p) = 10*p - 3. Let s(o) = 41*o - 13. Let x(b) = -26*c(b) + 6*s(b). Give x(t(f)). -28*f Let d(l) be the second derivative of -7*l**3/6 - 15*l. Let m(v) = v. Let w(c) = -2*c. Let i(z) = -9*m(z) - 4*w(z). Give i(d(a)). 7*a Let s(x) = 2*x. Let g(i) = 9*i. Let y(t) = 4 + 32*t - 4 - 5*t. Let k(o) = -17*g(o) + 6*y(o). Determine k(s(c)). 18*c Let k(w) = -5*w**2. Let j(a) be the second derivative of -a**4/12 - a**3/6 - a**2/2 + 2*a. Let h(p) = -3*p**2 - 2*p - 2. Let n(t) = h(t) - 2*j(t). Give k(n(r)). -5*r**4 Let a(b) = b. Let j(k) be the second derivative of -k**4 + 7*k**2/2 + k. Let i(n) = -6*n**2 + 3. Let m(x) = -7*i(x) + 3*j(x). Determine a(m(y)). 6*y**2 Let y(n) = 29*n**2. Let p(a) = -2*a. What is y(p(x))? 116*x**2 Let j(x) = -x. Let m(n) = 6*n. Let g(t) = -t**2 - 7*t - 4. Let l be g(-7). Let a(s) = -5*s. Let z(o) = l*a(o) - 3*m(o). Give z(j(f)). -2*f Let h(c) = -850*c**2 - c. Let k(d) = 2*d. What is h(k(j))? -3400*j**2 - 2*j Let l(a) = 22*a. Let w(q) = 0*q + 11*q - 9*q. Determine w(l(c)). 44*c Let f(h) = -h**2 - 12*h. Let k(v) = -3*v. What is k(f(x))? 3*x**2 + 36*x Let y(f) = 11*f**2. Let a(z) = 3*z**2 - 4. Let w(d) = d**2 - 1. Let m(h) = a(h) - 4*w(h). Calculate m(y(g)). -121*g**4 Let h(c) = -49*c**2 + 1. Let o(s) = -4*s. Determine o(h(f)). 196*f**2 - 4 Let z(p) = 9*p. Let j(c) = -c**2 - c - 1. Let t(u) = u**2 + 2*u + 2. Let w(d) = -4*j(d) - 2*t(d). Determine z(w(i)). 18*i**2 Let t(y) = 2*y + y - 4*y. Let j(f) = f**3 - 7*f**2 + 5*f + 8. Let w be j(6). Let n(u) = 4*u**2 + 2*u - w*u. Give t(n(c)). -4*c**2 Let o(f) = 2*f. Let r(t) be the second derivative of -1/24*t**4 + 0*t**3 - 1/2*t**2 + 0 - 3*t. Let y(l) be the first derivative of r(l). Determine o(y(s)). -2*s Let o(d) = 3 + 14*d**2 + 6*d**2 - 3. Let c(z) = 2*z. What is c(o(s))? 40*s**2 Let g(v) = 0*v - 3*v - 2*v + 7*v. Let l(t) = 2*t. Calculate g(l(h)). 4*h Let o(k) be the second derivative of -10*k**3/3 + 5*k. Let c(t) = -2*t**2. Calculate o(c(l)). 40*l**2 Let t(m) = m + 3. Let k(y) = -y - 5. Let s(u) = 3*k(u) + 5*t(u). Let o(b) = 220*b**2 - 117*b**2 + 0 + 0 - 109*b**2. Calculate s(o(w)). -12*w**2 Let o(i) = -4 + 7 - 4 - 8*i. Let n(y) = y**2. What is n(o(h))? 64*h**2 + 16*h + 1 Let v(b) = 3*b**2 + 6*b. Let j(g) = 27*g**2. What is j(v(l))? 243*l**4 + 972*l**3 + 972*l**2 Let v(b) = -82*b - 1. Let n(h) = h. Give n(v(q)). -82*q - 1 Let h(j) = -2*j. Let f(r) = -r - 1. Let u be f(-7). Let m(t) = 3*t - 3*t - u*t. Give m(h(x)). 12*x Let j(z) = -z**3 + 9*z**2 - 9*z - 4. Let x be j(8). Let a = -8 - x. Let v(u) = u + u + a*u. Let d(q) = q**2. Give d(v(g)). 36*g**2 Let u(n) = -34*n - 29*n**2 + 19*n + 15*n. Let h(z) = z**2. Calculate u(h(s)). -29*s**4 Let n(f) = 4*f**2. Let x(q) = 381*q. What is x(n(j))? 1524*j**2 Let u(t) = t**2. Let s(z) be the second derivative of 0*z**2 + 3*z + 0 - 1/6*z**3. Determine u(s(r)). r**2 Let c be (4*(-3 + 2))/(-1). Let r(x) = c*x**2 - 2*x**2 + 0*x**2. Let n(j) = -6*j. Determine r(n(p)). 72*p**2 Let u(r) = 17*r. Let d(o) = o**2. What is d(u(a))? 289*a**2 Let s(z) = -z. Let k(o) = -567*o**2. Calculate k(s(g)). -567*g**2 Let s(l) = -6*l**2. Let r(y) = -2*y**2 + 3*y. Let d(p) = -p**2 + p. Let b(t) = 3*d(t) - r(t). Determine s(b(o)). -6*o**4 Let i(h) = 25*h**2. Let a(p) = -14*p. What is i(a(y))? 4900*y**2 Let q(b) = -5*b**2 - 7*b. Let s(x) = -2*x**2. Let t(r) = r**2. Let n(u) = -3*s(u) - 8*t(u). Determine q(n(w)). -20*w**4 + 14*w**2 Let m(l) = -l**2 + 206*l. Let x(v) = v**2. Determine m(x(r)). -r**4 + 206*r**2 Let u(h) = 11*h. Let w(g) = -g**2 - g + 1. Let o(d) = -4*d**2 - 2*d + 2. Let b(p) = -o(p) + 2*w(p). Determine b(u(y)). 242*y**2 Let y(h) = -18*h. Let q(m) = 6*m - 2*m - 5*m. Determine y(q(c)). 18*c Suppose 0 = 5*v - v - 16. Let a(t) = -v*t + 2 - 2 + 2*t. Let x(m) = -4*m - 2. Let y(u) = 9*u + 5. Let b(q) = -5*x(q) - 2*y(q). Calculate b(a(r)). -4*r Let y(m) = 7*m. Let i(k) = -447*k. Calculate y(i(d)). -3129*d Let s(o) = -o - 3*o + 2*o. Suppose -3*c = c - v - 5, 5*c +
{ "pile_set_name": "DM Mathematics" }
ith respect to c. -2298*d**3*u - 2*u**2 What is the third derivative of -2*k**5*r**3 - 7*k**3*r + 24*k**2*r**3 + 2 wrt k? -120*k**2*r**3 - 42*r Differentiate -600*a*p - 722*a - 2*p**4 wrt p. -600*a - 8*p**3 Find the third derivative of -a**4 - 62*a**3 - 163*a**2 wrt a. -24*a - 372 Find the third derivative of 2*i**4*q - 2*i**4 - 3*i**3*q + 124*i**3 - 2*i**2 - 6*i + 2*q wrt i. 48*i*q - 48*i - 18*q + 744 What is the derivative of -205*n**3 - n**2*s + 2*n**2 + 1785*s wrt n? -615*n**2 - 2*n*s + 4*n Differentiate 2*o**3*r - o**3*v + 50*o**2*r + 10*o**2*v**4 - 3*o*r*v**2 - r wrt v. -o**3 + 40*o**2*v**3 - 6*o*r*v What is the third derivative of 3239*w**6 + 3*w**5 - 6332*w**2 wrt w? 388680*w**3 + 180*w**2 Differentiate 120*b*d**3 + b - d**4*f - d*f**3 + f**3 - 8*f**2 with respect to d. 360*b*d**2 - 4*d**3*f - f**3 Differentiate -824*h + 1027 wrt h. -824 What is the second derivative of -1762*f**3*l**4 + 3*f**3*l - 154*f**2*l + 2*f*l**4 - l wrt l? -21144*f**3*l**2 + 24*f*l**2 Find the second derivative of -278*m**5 + 4*m**2 - 3961*m wrt m. -5560*m**3 + 8 Find the first derivative of -z**2 + 92*z - 101 wrt z. -2*z + 92 Differentiate 186*x + 163 wrt x. 186 Differentiate 204*c**3*v + 4*c*v**2 - 5*c - 8550*v**2 wrt c. 612*c**2*v + 4*v**2 - 5 Differentiate -p**4 + 2247*p + 2445 wrt p. -4*p**3 + 2247 Differentiate -i**2*r**4 - 148*i**2*r**3 + 1270*i**2 wrt r. -4*i**2*r**3 - 444*i**2*r**2 What is the second derivative of -45*a**2*b**2 + 3*a**2 + 3*a*b**2 - a - 108*b**2 wrt a? -90*b**2 + 6 Find the third derivative of -6258*s**3 - 158*s**2 + s - 1 wrt s. -37548 Find the third derivative of o**6 + 38*o**4 + 10*o**3 + o**2 - 4943*o + 2 wrt o. 120*o**3 + 912*o + 60 What is the second derivative of 210*y**3*z**3 + y**3*z - 52*y*z**3 - y*z**2 + 3*z**3 wrt y? 1260*y*z**3 + 6*y*z What is the second derivative of 629*a**5 - 453*a? 12580*a**3 Find the second derivative of -w**2*x**3 - 23*w**2*x**2 + 3*w*x**3 - 13*w*x**2 wrt w. -2*x**3 - 46*x**2 Differentiate 7*d**3*k*p + 2*d**3*k - 84*d**2*k - 11*d*k - 101*k*p wrt p. 7*d**3*k - 101*k Find the second derivative of 25*c*q**2*w**2 + 16*c*q*w**2 + 3*c*q*w - 75*c*w**2 - 30*q**2*w**2 wrt q. 50*c*w**2 - 60*w**2 Find the second derivative of b**2*m**2 - 92*b**2*m + 58*b + m**2 wrt b. 2*m**2 - 184*m Differentiate -2321*t + 632 with respect to t. -2321 What is the third derivative of 3*i**2*y**3 + i**2*y**2 + 11*i**2 - 448*i*y**5 + 3*y**2 + 46 wrt y? 18*i**2 - 26880*i*y**2 What is the second derivative of 3*b*l**3 + 3*b*l**2 + 404*b*l + 37*l**3 wrt l? 18*b*l + 6*b + 222*l Find the third derivative of 1861*w**3 - 9*w**2 + 204 wrt w. 11166 Find the first derivative of 50*k*z**3 + 3*k + 3*z**3 - 32 wrt z. 150*k*z**2 + 9*z**2 Find the third derivative of -2864*v**5 + 10*v**2 - 64*v wrt v. -171840*v**2 Find the third derivative of -2*i**4*m*z - 2*i**4 - 27*i**3*m**3 - 7*i**2*m**2*z + 2*i**2*m**2 - 2*i*m**3 - 2*z wrt i. -48*i*m*z - 48*i - 162*m**3 What is the third derivative of 4*a**3*o**6 + 5*a**3*o**3 + 68*a**3*o**2 + 3*a**3 - 4*o**4 wrt o? 480*a**3*o**3 + 30*a**3 - 96*o Find the third derivative of 2*j**4 - 2192*j**3 - 564*j**2. 48*j - 13152 What is the second derivative of 140*t**5 - t**2 + 16*t wrt t? 2800*t**3 - 2 Find the second derivative of 23*l*r**3 - 5*l + 9*r**3 - 62*r wrt r. 138*l*r + 54*r Differentiate b**2*n**3*w + b**2*n**3 + 53*b**2*n**2*w - b**2*n + 79*b**2 with respect to w. b**2*n**3 + 53*b**2*n**2 Find the third derivative of -17089*g**3 - 3*g**2 + 3854*g. -102534 Find the first derivative of 494*s**4*u**3 - 3*s**2*u**3 + 21*u**3 - 3*u - 9 wrt s. 1976*s**3*u**3 - 6*s*u**3 What is the third derivative of -27*l**6*t + 5*l**5*t + 12*l**2 + 2*l*t - 7*t wrt l? -3240*l**3*t + 300*l**2*t Differentiate 3199*n**2*p - 99*n**2 + n - 8 with respect to p. 3199*n**2 What is the third derivative of -324*k**3*q**3 - 6*k**2*q**3 + 4*k**2*q wrt k? -1944*q**3 What is the second derivative of -6*p**4 - 3*p**3 - 259*p**2 + 4*p + 1636? -72*p**2 - 18*p - 518 What is the second derivative of -11*c**2*v**3 - 2*c**2*v**2 - c**2*v - 4*v**4 + 6 wrt v? -66*c**2*v - 4*c**2 - 48*v**2 Find the second derivative of 8*h*l**2*t**2 + 2*h*l**2 - 82*h*l*t - 20*h*t**2 - 2*l**2*t + l**2 + 6*l*t**2 + t wrt t. 16*h*l**2 - 40*h + 12*l What is the third derivative of 2762*a*t**5 + 7*a*t**2 - 10*a*t - 7*a - 3*t**2 wrt t? 165720*a*t**2 What is the first derivative of -311*d**2*u**4 + 18*d**2*u + 23647*d**2 wrt u? -1244*d**2*u**3 + 18*d**2 What is the second derivative of 8*h**3 + 9*h**2*x**3 - 5*h**2*x + 50*h*x**3 - 5*h + x**3 wrt h? 48*h + 18*x**3 - 10*x Find the second derivative of -27*f**2*p**3 - f**2*p**2*x + 2*f**2*p*x - 21*f*p**2 + 5*p**3*x - p**2*x wrt f. -54*p**3 - 2*p**2*x + 4*p*x Differentiate 2*s*u*v*y + 66*s*u + 7*s*v*y - 2*s*v + 7*s + u*v*y - 2*v - 6*y with respect to u. 2*s*v*y + 66*s + v*y What is the second derivative of -5*f**2*t**3 - 15*f**2 + f*t**3 - 464*f*t**2 wrt f? -10*t**3 - 30 Find the third derivative of -2*c**3*w**5 + 178*c**3*w**3 - 21*c**3*w - 11*c**2*w**2 wrt w. -120*c**3*w**2 + 1068*c**3 What is the third derivative of -295*p**3*y**2 - 584*p**2*y**2 - 2*p**2*y wrt p? -1770*y**2 What is the first derivative of 2*a**3 + 168*a**2 - 15? 6*a**2 + 336*a Find the first derivative of 8*t**4 - 3*t**3 + 13*t**2 + 4970. 32*t**3 - 9*t**2 + 26*t What is the third derivative of -985*i**5 + i**2 + 199*i? -59100*i**2 Find the third derivative of -4092*l**4 - 22*l**2 + 8*l + 2. -98208*l Find the second derivative of -168*y**2 - 178*y wrt y. -336 Find the third derivative of -476*h**3 - h**2 - 339 wrt h. -2856 Find the second derivative of 1556*s**2*v**3 - 280*s - 2*v**3 wrt s. 3112*v**3 Find the second derivative of -4*g**2*w**2 - 106*g**2 - 2*g*w + 59*w**2 wrt w. -8*g**2 + 118 What is the third derivative of -2922*g**3 + 6*g**2 + 4*g + 83 wrt g? -17532 What is the second derivative of -b**2*p**2*r**2 + 3*b**2*p + 35*b**2*r - 256*p**2*r**2 + 3*p**2*r wrt r? -2*b**2*p**2 - 512*p**2 Differentiate -394*p**3*q + 2*p**3 + 12*p**2 wrt q. -394*p**3 What is the second derivative of 14*m**4 + 3*m**2 - 2*m - 2069? 168*m**2 + 6 Find the third derivative of -5339*o**5 + 2760*o**2 wrt o. -320340*o**2 What is the second derivative of -4612*r**3 + 6533*r? -27672*r Find the second derivative of -s**5 + 107*s**4 - 1832*s wrt s. -20*s**3 + 1284*s**2 Differentiate -161*c**2 + 201. -322*c Differentiate -177*t**3 + 170 wrt t. -531*t**2 Find the third derivative of 55*w**3*z - 7*w**2*z - w*z wrt w. 330*z Find the second derivative of 9*p**5 - 7*p**4 + p - 49. 180*p**3 - 84*p**2 What is the second derivative of 2*o**2*x*y**3 - 6*o**2*x*y**2 - 8*o**2*y - 5*o*x - 52*o*y**3 + 4*y**3 wrt o? 4*x*y**3 - 12*x*y**2 - 16*y Find the second derivative of -2*b**4*f - 3*b**4 + 1228*b**2*f + 457*b - f - 5 wrt b. -24*b**2*f - 36*b**2 + 2456*f What is the third derivative of -1562*c**3 + 1539*c**2 wrt c? -9372 Find the second derivative of -8*p**3*s**3 - 6*p**3 + 3*p**2*s**4 + 16*s wrt s. -48*p**3*s + 36*p**2*s**2 Find the second derivative of -84*v**2*w**3*z - 14*v**2*w**2*z + 2*v*w**3*z + 2*v*w**2*z - 2*v - 442*w**3 wrt v. -168*w**3*z - 28*w**2*z What is the third derivative of -444*b**3 + 368*b**2? -2664 What is the third derivative of 7797*k**5 + k**4 + 488*k**2 wrt k? 467820*k**2 + 24*k What is the first derivative of 1759*q*y**3 - 23*y**3 - 3*y**2 - 4*y wrt q? 1759*y**3 What is the derivative of 229*u**4 - 521? 916*u**3 Differentiate 2*u**3 - 778*u**2 - 1349. 6*u**2 - 1556*u Find the second derivative of 116*m**4 + 2*m**2 + 88*m - 1. 1392*m**2 + 4 Find the first derivative of -54*h*s + 2*h - 9*s + 1 wrt h. -54*s + 2 What is the third derivative of 7243*q**4 + 2*q**3 + q**2 + q - 523 wrt q? 173832*q + 12 What is the third derivative of -3*n**5 + 170*n**3 + 4499*n**2 wrt n? -180*n**2 + 1020 Find the third derivative of r**6 + 1287*r**5 - 2*r**4 - 158*r**2 + 5*r wrt r. 120*r**3 + 77220*r**2 - 48*r Find the third derivative of 867*v**3 + 3796*v**2. 5202 What is the second derivative of -5*m**5 + 80*m**2 - 1273*m? -100*m**3 + 160 What is the derivative of 4180*a - 1007? 4180 What is the derivative of -50*t**3 - 503? -150*t**2 What is the third derivative of 16795*s**3 + 8547*s**2? 100770 What is the third derivative of -960*q**4 - q**2 - 1444? -23040*q What is the first deriv
{ "pile_set_name": "DM Mathematics" }
What is the second derivative of 3*n**3 - 321406*n**2 - 398620*n wrt n? 18*n - 642812 What is the third derivative of 1316844*u**3 - 21421*u**2 - 23*u wrt u? 7901064 What is the third derivative of -149*j**2*n**3*s + 18*j**2*n*s**2 + 13*j*n**3*s**3 + 2174*j*n*s**3 + 198*n**3 - 7*n**2*s**2 wrt n? -894*j**2*s + 78*j*s**3 + 1188 What is the third derivative of 55797*q**6 + 2*q**4 + 20*q**2 - 64 wrt q? 6695640*q**3 + 48*q Find the first derivative of 570810*p*t + 236682*t wrt p. 570810*t Find the second derivative of 5196704*q**5 + 7*q + 302225 wrt q. 103934080*q**3 What is the third derivative of -5*r**6 + 3109*r**5*y - 2*r**3 + 19361*r**2 + 63*r*y wrt r? -600*r**3 + 186540*r**2*y - 12 What is the second derivative of -610*o**2*v**2 - o**2*v + 977828*o**2 - 30*o*v**2*y + v*y wrt v? -1220*o**2 - 60*o*y What is the derivative of 1181*s**4 - 111*s**3 - 2*s**2 - 1362591 wrt s? 4724*s**3 - 333*s**2 - 4*s What is the third derivative of 2*j*n**5 + j*n**4 - 3*j*n**2 + 188*j*n*p - 8427*n**3*p + 5*n**2*p wrt n? 120*j*n**2 + 24*j*n - 50562*p Find the first derivative of 98*m**4 + 15*m**3 - m + 30016. 392*m**3 + 45*m**2 - 1 Find the third derivative of 311*a**6*t + 310*a**4*t - 538999*a**2*t wrt a. 37320*a**3*t + 7440*a*t Find the first derivative of 98768*v - 335556. 98768 Find the third derivative of -352*w**5 + 3*w**4 - 94*w**3 + 48*w**2 - 1399*w - 2 wrt w. -21120*w**2 + 72*w - 564 Find the third derivative of -30*c**4*j + c**4 - 250*c**3 + 2*c**2*j + 3*c*j + 754*c wrt c. -720*c*j + 24*c - 1500 Find the third derivative of 2*h**2*p**3*x**3 + 725*h**2*p**3*x**2 - 4*h**2*p**3*x - 20*h**2*x**2 + 6846*p**3*x**3 wrt x. 12*h**2*p**3 + 41076*p**3 Find the second derivative of 79679*r**2 - 6347*r + 1. 159358 Find the third derivative of 38667*r**4 - 8200*r**2. 928008*r What is the second derivative of 708921*g**5 + 545*g + 130? 14178420*g**3 Differentiate 4231580*t + 1328415 with respect to t. 4231580 What is the first derivative of 1196467*k*z - 935554*z wrt k? 1196467*z Find the second derivative of -2*v**4 + 43040*v**3 - 2*v + 1437. -24*v**2 + 258240*v Find the first derivative of 381378*a + 224035. 381378 Find the second derivative of -60245*r**3 - 3*r + 2812 wrt r. -361470*r Find the second derivative of 25128*f**2 - 538*f + 42. 50256 Find the third derivative of 324416*j*s**5 - 372*j*s - 12*j - s**2 wrt s. 19464960*j*s**2 Find the second derivative of 8735*w**4*x - 2*w**4 + w**3 + 14*w + 198*x wrt w. 104820*w**2*x - 24*w**2 + 6*w Differentiate -41383*k + 77556. -41383 What is the derivative of -32347*a*i**2*k**3 - 6*a*i**2*k**2 + 4*i**2*k**3 + 2*i*k**2 + i + 14290*k wrt a? -32347*i**2*k**3 - 6*i**2*k**2 Find the third derivative of i**5*p + 74759*i**3*p**3 + 3*i**2*p**3 - 2*i**2*p - 4*i*p**3 - 251*p**3 wrt i. 60*i**2*p + 448554*p**3 What is the second derivative of -510083*d**2 - 16*d - 1654? -1020166 What is the first derivative of 21238*l**2 + 19090 wrt l? 42476*l Find the third derivative of 4069*d**5 - d**2 - d + 76764. 244140*d**2 Find the third derivative of 567808*r**4 - 3*r**3 + 888217*r**2. 13627392*r - 18 What is the second derivative of 3*j*r**3 - 189*j*r**2 - 4819*j*r - 2*j - 38*r**3 + 3 wrt r? 18*j*r - 378*j - 228*r Find the third derivative of 7*p**4*w**3 + 234*p**4*w**2 + 118*p**2*w - 4*w**3 wrt p. 168*p*w**3 + 5616*p*w**2 Find the second derivative of 671423*c**2 + 446364*c + 3. 1342846 What is the third derivative of -15*r*s**3 + 2*r*s**2*u**3 + 4*r*s**2*u**2 - 4247*s**3*u**3 - 2*s**3*u**2 - 191*s**3*u - 3*s wrt u? 12*r*s**2 - 25482*s**3 Find the second derivative of 1620*j**2 + 38539*j. 3240 Differentiate -152746*b*h*m*t - 6*b*h*t + 2*h*m*t + 46*h*m + 696*h*t - 2*m*t wrt b. -152746*h*m*t - 6*h*t Find the second derivative of -633*l**3*w**3 - 8*l**3*w + 1860*l**2*w + 982*l*w**3 + 2*l wrt w. -3798*l**3*w + 5892*l*w Find the third derivative of f**4*q**2 + 23*f**4 + f**3*q + 574*f**3 - f**2*q**2 + 155*f**2*q - 2*f**2 - 29*q wrt f. 24*f*q**2 + 552*f + 6*q + 3444 Differentiate -25*t**2*w**2 + 222903*t**2 - 7363*w**2 with respect to w. -50*t**2*w - 14726*w Find the second derivative of 451496*t**3 + 1960878*t. 2708976*t Differentiate -1911*k**2 + 6*k + 95754. -3822*k + 6 What is the third derivative of 126432*a**6 - 2*a**5 - 1205*a**2 + 2*a + 8 wrt a? 15171840*a**3 - 120*a**2 Find the second derivative of -198140*t**3 + 176812*t. -1188840*t What is the first derivative of -5*a*k*u*x - a*k*u - 620*a*k*x - a*x - 2722*k*u*x - k*x wrt a? -5*k*u*x - k*u - 620*k*x - x What is the derivative of 23*d**3 + 1081*d**2 + 283227? 69*d**2 + 2162*d Differentiate 65919*m**2*w**2 + m - 208547*w**2 with respect to m. 131838*m*w**2 + 1 What is the second derivative of 2*d**3 - 36213*d**2 + 14*d + 1907 wrt d? 12*d - 72426 Find the second derivative of b**2*h*u + 162*b**2*h + 7*b**2*u + 29*b**2 + 8*b*h*u + 20*b*h - b*u + h*u - 207*h wrt b. 2*h*u + 324*h + 14*u + 58 Find the third derivative of 2*f**6 + 7104*f**5*k**2 - 2*f**2*k**2 - 16*k**2 - 8*k wrt f. 240*f**3 + 426240*f**2*k**2 What is the second derivative of -35*d**2*v**2 - 15*d**2*v + d*v**2 - 3*d*v - 33*d - 124*v**2 + 2*v wrt v? -70*d**2 + 2*d - 248 Differentiate -3819*f**3*p**2*r**3 - 87*f**3*p*r + 4324*f**3*r**3 - 4*f**2*r**2 + 2*f**2*r + 2*f*r**3 + 2*f*r**2 with respect to p. -7638*f**3*p*r**3 - 87*f**3*r Differentiate 18*a**2*o**2 + 112160*a**2*o + 14*o**2 + 7*o + 77 wrt a. 36*a*o**2 + 224320*a*o Find the third derivative of -39028*l**3 + 3*l**2 - 263*l + 129. -234168 What is the second derivative of -76*w**5 + 50*w**2 - 117734*w wrt w? -1520*w**3 + 100 Find the second derivative of -2*c**5 - 4404*c**3 + c**2 + 680655*c wrt c. -40*c**3 - 26424*c + 2 Differentiate -22*o*x*z + 151*o*x - 6505*o*z - 38*x + 6 with respect to z. -22*o*x - 6505*o Find the third derivative of -122595*q**3 - 79692*q**2 wrt q. -735570 Find the second derivative of -1027*d**3*g**2*y + 77*d**3*y**2 + 61*d*g**2*y**2 - 3*d*y**2 + 85*g*y**2 wrt g. -2054*d**3*y + 122*d*y**2 Find the second derivative of 617638*u**2 - 80*u - 2459 wrt u. 1235276 Find the third derivative of o**3*v**3*z**3 + 2*o**3*v**2 + 129*v**3*z**3 + 35*v**3*z + 6630*v**2*z**3 - v**2*z**2 wrt v. 6*o**3*z**3 + 774*z**3 + 210*z Differentiate 689232*q**4 - 1243135 wrt q. 2756928*q**3 What is the third derivative of -146147*o**4*s - 15027*o**2*s + o*s - 7*s wrt o? -3507528*o*s Find the third derivative of -1015913*v**6 + v**2 - v + 3783. -121909560*v**3 Find the second derivative of b**3*n**3 - 364*b**3*n - 185*b**2*z**2 - 4*b*n**3*z**2 - 16*b*n**3 - b*z + 2*n**3*z**2 + 76*n**3*z wrt b. 6*b*n**3 - 2184*b*n - 370*z**2 Find the second derivative of 130376*g**5 - 16*g + 1655. 2607520*g**3 What is the third derivative of 1567*j**4 + 30*j**3 - 4094*j**2 - j + 1 wrt j? 37608*j + 180 What is the first derivative of -10943*a + 49149? -10943 Find the second derivative of 259825*w**2 + 1613501*w. 519650 Find the first derivative of -15*n**2 + 168*n - 53980 wrt n. -30*n + 168 Find the third derivative of -33259*p**3 - 366*p**2 + p + 1 wrt p. -199554 Find the second derivative of 2341111*d**2 + 3219167*d. 4682222 Find the second derivative of -8*y**3 + 6991*y**2 - 270268*y. -48*y + 13982 What is the third derivative of -278*c**3*u**2 - 2*c**3*u + 121*c**3 + c**2*u - 2*c**2 - 1968*c*u - 2*c + u**2 wrt c? -1668*u**2 - 12*u + 726 Find the third derivative of -677*n**2*p**3 - 3*n**2*p**2 + 4*n*p**4 - 3318*n + 7*p**4 wrt p. -4062*n**2 + 96*n*p + 168*p What is the second derivative of -2*l**4 - 4*l**3 - 6008*l**2 - 3*l + 17834 wrt l? -24*l**2 - 24*l - 12016 Differentiate -186164*c**2 + 206517 with respect to c. -372328*c What is the second derivative of 106589*i**3*j**2 - 43*i**3*j - 16*i**3 - 2*i**2*j wrt j? 213178*i**3 What is the second derivative of 72*u**4 + 74*u**3 - u**2 - 80897*u? 864*u**2 + 444*u - 2 Find the third derivative of -2*a**3*c**2 - 10*a**3*c - 2541*a**3 + 7848*a**2*c**2 + a*c**2 - a*c wrt a. -12*c**2 - 60*c - 15246 What is the third derivative of -224*c**6 + 25*c**5 - 2191*c**2 + 2*c + 1? -26880*c**3 + 1500*c**2 Find the third derivative of 359047*w**4 - 314199*w**2 wrt w. 8617128*w Find the first derivative of -97189*f**2*o - 844*o - 42 wrt f. -194378*f*o Find the third derivative of -3599883*l**3 - 36*l**2 - 24278. -21599298 Differentiate -4355793*w**2 + 5543365
{ "pile_set_name": "DM Mathematics" }
u**2 - 71 Let u(p) = -1058*p + 1058*p - 14*p**2. Let r(t) = -3*t. Determine r(u(x)). 42*x**2 Let m(g) be the first derivative of -g**2/2 - 1. Let l(c) be the first derivative of 2*c**3 + 6. Determine m(l(n)). -6*n**2 Let i(h) = -2*h + 6. Let t(c) = -7*c**2. What is t(i(b))? -28*b**2 + 168*b - 252 Let s(u) = -3*u**2 + 11. Let v(h) = -2*h**2. What is s(v(d))? -12*d**4 + 11 Let g(k) = -k**2. Let a(o) = 2*o. Let p(c) = c**2 + 7*c. Let q(x) = -14*a(x) + 4*p(x). Calculate g(q(w)). -16*w**4 Let a(g) = -g**2 + g. Let t(v) = 13*v**2 - 2*v. Let s(z) = -2*a(z) - t(z). Let y(x) = x. Determine s(y(m)). -11*m**2 Let r(i) be the second derivative of i**4/12 + i. Let q(f) = 34*f**2 - 14. Let p(l) = 7*l**2 - 3. Let t(j) = 14*p(j) - 3*q(j). Determine t(r(b)). -4*b**4 Let g(c) be the third derivative of c**5/60 + 2*c**2. Let u(m) = m - 3. Let a be u(5). Let z(b) = 2 - a - b. Calculate g(z(l)). l**2 Let z(l) be the first derivative of -3*l**2/2 - 6. Let a(i) = 3*i. Determine z(a(s)). -9*s Suppose -5*d + 34 = -91. Let b(r) = -6*r - 25 + d. Let u(y) = 2*y. What is u(b(g))? -12*g Let m(w) = -18*w**2 - 1 + 15*w**2 + 1. Let b(f) = 4*f**2. Calculate m(b(o)). -48*o**4 Let s(r) = 6798 - 6798 - 22*r. Let b(l) = -5*l. What is b(s(h))? 110*h Let u(s) = 2*s + 5. Let d(h) = 3*h + 8. Let a(n) = 5*d(n) - 8*u(n). Let t(c) be the third derivative of 5*c**4/24 - 3*c**2. Determine t(a(y)). -5*y Let d(t) = 2*t + 55. Let m(k) = 3*k**2. Determine m(d(y)). 12*y**2 + 660*y + 9075 Let h(n) = 2*n**2. Let t(u) = 4600*u**2. What is t(h(d))? 18400*d**4 Let i(n) be the third derivative of -n**5/30 + 9*n**2 + 7. Suppose -2*f = -j, 4*j = f - 2*f. Let d(l) = 0 + l + f. What is d(i(y))? -2*y**2 Let f(h) = -6*h**2 - 4*h + 4. Let j(q) = -q**2 - q + 1. Let n(b) = -f(b) + 4*j(b). Let u be (-46)/(-6) - (-2)/(-3). Let m(t) = u - t**2 - 7. What is m(n(a))? -4*a**4 Let f(p) = p**2. Let r(d) = -5*d - 13. Let o(x) = x + 3. Let m = 15 + 11. Let g(q) = m*o(q) + 6*r(q). Calculate g(f(w)). -4*w**2 Let a(s) = 2*s**2 - 4*s - 1. Let l be a(3). Let u(b) = l*b**2 + 0*b**2 - 4*b**2. Let w(p) = -2*p**2. Determine u(w(r)). 4*r**4 Let z(t) be the third derivative of -2*t**5/15 + 7*t**2. Let a(p) be the third derivative of -p**5/30 + 2*p**2. Calculate a(z(i)). -128*i**4 Let j(m) = -3*m. Let l(n) be the second derivative of n**4/6 - n. Give l(j(g)). 18*g**2 Let j(m) = -18*m. Let w(d) = -134*d**2 + 3*d. Give w(j(a)). -43416*a**2 - 54*a Let h(w) = -9*w**2 - 6*w + 6. Let g(b) = -b**2 - b + 1. Let z(v) = 6*g(v) - h(v). Let y(u) = -10*u. Calculate z(y(f)). 300*f**2 Let b(p) = -14*p. Let r(h) be the first derivative of 2*h**3/3 - 21. Calculate r(b(d)). 392*d**2 Let r(w) be the first derivative of -w**2/2 - 2. Let i(c) be the third derivative of c**4/12 + 10*c**2. What is i(r(j))? -2*j Let g(w) be the third derivative of w**4/12 + 29*w**2. Let n(s) be the second derivative of 7*s**4/6 - s. Determine n(g(x)). 56*x**2 Let m(q) = -3*q**2. Let o(b) be the second derivative of 1/6*b**4 + 0 + 0*b**2 + 0*b**3 + 5*b. Calculate m(o(f)). -12*f**4 Suppose -3*l + 9 = -3. Let y(o) = -2*o - 3*o + l*o. Let z(q) = 9*q**2 + 13*q - 13. Let d(i) = 2*i**2 + 3*i - 3. Let h(n) = 26*d(n) - 6*z(n). Determine y(h(t)). 2*t**2 Let v(m) = 5*m**2. Let q(t) = -5*t - 36. Give v(q(i)). 125*i**2 + 1800*i + 6480 Suppose 60 = 3*d + d + 4*w, -5*d = -3*w - 35. Suppose -s - 4*g = -0*g + d, 3*g = -9. Let h(t) = s*t - 4*t + t. Let p(n) = -6*n. Give p(h(l)). 6*l Let y(k) = 5*k**2. Let t(s) = -s - s**2 + 2*s - 5*s + 4. Let u(o) = o**2 + 3*o - 3. Let v(i) = -3*t(i) - 4*u(i). Determine y(v(q)). 5*q**4 Let a(r) be the third derivative of 0*r**4 + 0*r**3 + 0*r + 0 + 1/15*r**5 + 2*r**2. Let k(g) = 2*g. Give k(a(z)). 8*z**2 Let f(u) = 6*u. Let s(z) = 66*z**2 + 27*z. Let i(b) = -5*b**2 - 2*b. Let k(p) = -27*i(p) - 2*s(p). Calculate f(k(x)). 18*x**2 Let b be 2/3 - 4/(-3). Suppose -8 = -0*v - b*v. Let m(i) = 3*i - 4*i + v*i. Let f(s) = 2*s. Give m(f(w)). 6*w Let c(k) be the first derivative of -k**4/6 - 5*k + 7. Let i(r) be the first derivative of c(r). Let y(a) = 4*a**2. Determine y(i(t)). 16*t**4 Let h(k) = 2*k. Let n(u) be the second derivative of 0*u**2 - 3*u - 1/3*u**3 + 0. Determine n(h(f)). -4*f Let w(z) = -11*z - 8. Let l(g) = 4*g + 3. Let r(t) = -8*l(t) - 3*w(t). Let m(c) = c - 4*c + 2*c. Give m(r(y)). -y Let z(d) = -2*d + 95 - 95. Let i(j) = 9 - 9 - 3*j. Calculate i(z(o)). 6*o Let r(s) = -12*s**2. Let l(m) = -m**2 + 128. What is l(r(u))? -144*u**4 + 128 Let s(a) = 25 - 47 - a + 22. Let x(t) = -40*t. Determine x(s(l)). 40*l Let x(i) = 8*i. Let a(c) = -c. Let t = -7 - -8. Let w(r) = t*x(r) + 6*a(r). Let d(k) = -2*k. Determine d(w(f)). -4*f Suppose -3*x = i + 2*x + 4, -2*x = -2*i + 16. Let c(h) = 4*h + 4*h - h - i*h. Let y(o) = -o. Determine y(c(j)). -j Let k(v) = -2*v**2. Let r(o) = 8*o - 3*o + 8*o + 2*o. What is r(k(f))? -30*f**2 Let o(c) = c**2. Let u(y) = 661*y. Determine u(o(h)). 661*h**2 Let n(k) = -4*k + 3. Let x be n(-3). Let w(v) = -110*v - x*v**2 + 110*v. Let o(s) = s. Calculate w(o(p)). -15*p**2 Let f(o) = 4*o. Let m(t) be the first derivative of t**5/60 + 7*t**2/2 - 1. Let h(u) be the second derivative of m(u). Calculate f(h(b)). 4*b**2 Let i(f) = -f**2. Suppose 0*o + 2*o + 8 = 0, 5*s - o = 19. Let j(u) = -6*u**2 + 6*u**2 + s*u**2 + 3*u**2. Determine i(j(k)). -36*k**4 Let c(n) = 5*n**2 + n**2 - 4*n**2 + 0*n**2. Let t(q) = -4*q. Determine c(t(u)). 32*u**2 Let o = 8 + -4. Let y(s) = -o*s**2 - 2*s**2 + 3*s**2 + 4*s**2. Let v(j) be the second derivative of -2*j**3/3 - j. What is v(y(r))? -4*r**2 Let y(c) be the second derivative of 3*c**3/2 + 7*c. Let a(s) = s. Give a(y(r)). 9*r Let r(s) = -s. Let t(b) be the first derivative of 14*b**3/3 + 6. Calculate t(r(i)). 14*i**2 Let n(t) = -22*t. Let o(i) = 348*i**2. What is o(n(z))? 168432*z**2 Let w(m) = -252*m. Let v(s) = 4*s**2 + 2. Give v(w(j)). 254016*j**2 + 2 Let w(r) = -5543*r**2 - 2*r. Let j(m) = -m. Determine w(j(u)). -5543*u**2 + 2*u Suppose -3*f + 14 = 41. Let c(u) = -2*u - 4. Let o(a) = 4*a + 9. Let q(x) = f*c(x) - 4*o(x). Let d(y) = -5*y. Determine q(d(n)). -10*n Let q(u) = -4*u + 674 - 674. Let p(x) = -14*x. Calculate q(p(w)). 56*w Let g(d) be the third derivative of -d**5/30 + d**2. Let h(s) = s + 4. Let n(o) = 3*o + 7. Let t(p) = -7*h(p) + 4*n(p). Calculate t(g(j)). -10*j**2 Let a(x) = 22*x + 2. Let l(s) = 29*s. Determine l(a(f)). 638*f + 58 Let g(z) = -3*z. Let c(d) = -7*d**2 + 11*d**2 - 7*d**2. Give c(g(j)). -27*j**2 Let r(k) = -2*k. Let v = 62 + -59. Let h(z) be the first derivative of -1/3*z**3 + 0*z**2 + 0*z - v. What is h(r(d))? -4*d**2 Let j(b) = 894*b. Let t(v) = -v. What is j(t(y))? -894*y Let n(o) be the third derivative of -o**7/840 - o**5/60 + 4*o**2. Let f(t) be the third derivative of n(t). Let r(z) = -z**2. Determine f(r(g)). 6*g**2 Let m(s) = -2*s. Let y(a) be the first derivative of a**2/2 + 3*a - 1. Let k(z) = -2*z - 7. Let p(i) = -3*k(i) - 7*y(i). Give m(p(b)). 2*b Suppose g - 6 + 4 = 0. Let i(z) = z + 0*z - g*z. Let x(p) = p - 3. Let d(f) = 2*f - 4. Let b(y) = 3*d(y) - 4*x(y). Give i(b(a)). -2*a Let w be 1/(-2) + 15/6. Let l(z) = 4*z - 4*z + z**w. Let p(g) = -g + 4*g + g. What is l(p(r))? 16*r**2 Let k(z) = 5*z. Let p(y) = 14*y. Let i(w) = -8*k(w) + 3*p(w). Let g(m) = 18*m**2. Determine i(g(x)). 36*x**2 Let z(p) = 1517*p. Let u(j) = 2*j. What is u(z(h))? 3034*h Let o(u) = 2*u + 6. Suppose 9*m = 4*m - 3*v + 3, 2*m - 5*v = -5. Let l(k) = -1 + 4 + m - 1. Let n(s) = -6*l(s) + 2*o(s). Let h(p) = p**2. What is h(n(q))? 16*q**2 Let m(n) be the second derivative of 0 + 1/2*n**3 + 4*n + 0*n**2. Let h(t) = 2*t. Give h(m(z)). 6*z Let r(y) = y**2 - 9*y. Let w(x) = 2*x. Let a(z) = 2*r(z) + 9*w(z). Let h(q) = -q - 6. Let d(k) = -3. Let g(i) = 6*d(i) - 3*h(i). What is a(g(t))? 18*t**2 Let o(i) = -3*i. Let a(t) = t**2 - 1. Let d(w) = 8*w**2 - 20. Let u(s) = 20*a(s) - d(s). Calculate u(o(z)). 108*z**2 Let w(b) = -3*b. Let c(n) = 48*n. Let x(g) = -2*c(g) - 33*w(g). Let p(l) = -14*l. Give x(p(v)). -42*v Let h(t) = -7*t**2. Let n(p) be the first derivative of p**5/120 + 4*p**3/3 - 4. Let k(w) be the third derivative of n(w). What is k(h(a))? -7*a**2 Let l(g) = 2*g**2. Let u(t) = t + 4. Let x be u(-2). Let n = 3 + -1. Let y(z) = -x + n + 2*z. Give y(l(d)). 4*d**2 Let h(g) = 45*g - 89*g + 19*g. Let r(j
{ "pile_set_name": "DM Mathematics" }
3 - 3). Let t(j) = -9*j**3 - 5 + 7*j**b + 4*j**2 + j**3 + 2*j. Let u be t(4). What is the highest common factor of u and 2? 1 Let y = 78 + 37. Suppose 6*p = 409 - y. Calculate the greatest common divisor of 49 and p. 49 Suppose -18*t + 3*j = -13*t - 1545, 0 = -3*t + 3*j + 927. What is the greatest common divisor of 515 and t? 103 Let y = 282 - 577. Let m = y - -415. What is the greatest common factor of 15 and m? 15 Suppose 26 = 79*r - 76*r - 2*x, 2*r = -x + 15. Calculate the greatest common divisor of 92 and r. 4 Suppose -324 + 51 = -3*d. Let v(g) = -2*g + 17. Let r be v(4). Suppose -65 = 4*q - r*q. Calculate the greatest common divisor of d and q. 13 Suppose 19 + 121 = 20*f. Let h = 0 - -2. Let k be (7/h)/(3/6). Calculate the highest common factor of f and k. 7 Suppose -24*q + 15*q = -27. Suppose q*y - 10 - 26 = 0. What is the greatest common divisor of y and 78? 6 Let j = -216 - -238. Calculate the highest common divisor of j and 154. 22 Let y(c) be the second derivative of c**4/4 + c**3/3 - 3*c**2/2 - 27*c. Suppose 0*a = a + 4. Let p be y(a). What is the greatest common factor of p and 37? 37 Let s be (5/(-10))/((-2)/288*2). Calculate the highest common factor of s and 48. 12 Let g = -374 - -479. Let s = -82 - -152. Calculate the greatest common divisor of s and g. 35 Let p = -4 + 4. Let v be 0 - (-55 + p/2). Suppose -282 = -3*l + 4*g, -l - 3*g + v = -26. Calculate the highest common divisor of l and 10. 10 Let l = 24 + 0. Suppose 5*a - 4 + l = 0, -2*k + 10 = -a. Let c be (k/(-4))/(5/(-400)). Calculate the highest common divisor of c and 15. 15 Let z = -7 - -5. Let s = z - -19. Let q = s + -4. What is the greatest common factor of 143 and q? 13 Let w = -66 - -105. Let r = w + 29. Let x = 24 + -7. Calculate the highest common divisor of r and x. 17 Suppose -5*z + 2664 = -2*j + 742, -390 = -z - j. What is the greatest common factor of z and 2? 2 Let x(y) = 8*y - 135. Let a be x(21). What is the highest common factor of a and 3? 3 Let w(k) = 24*k - 2. Let c be w(-1). Let b = c + 98. Let p be (2/4)/((-1)/(-18)). What is the highest common factor of p and b? 9 Let y = 9 + 1. Let r be (-4)/(-6)*(-30)/(-2). Suppose 0*b + b = 2*o + 2, 5*b = 5*o + r. Calculate the highest common divisor of y and b. 2 Let z(a) = -a**2 + 16*a - 25. Let w be z(5). Let t = 51 - 36. Calculate the highest common factor of t and w. 15 Let s be 6/(-18) + 2/6. Suppose s = 4*r - 88 - 48. Calculate the highest common factor of r and 306. 34 Suppose -5 = -y - y - 3*b, 3*y - b - 35 = 0. Calculate the greatest common divisor of 590 and y. 10 Let d(c) = 3*c - c**2 - 4 + 0*c**2 + 0*c**2 - 11*c. Let y be d(-8). Let f = y - -7. Calculate the greatest common divisor of f and 21. 3 Let f = 20 - 36. Let b be f/72 + (-1012)/(-18). Let y = 38 + -24. Calculate the highest common divisor of y and b. 14 Let u = -1 + 2. Let h = u - -17. What is the highest common factor of 9 and h? 9 Let g = -36 + 41. Suppose -j - 3*y + 27 = j, -g*j + 50 = 4*y. Calculate the highest common divisor of 24 and j. 6 Let d be (-64)/(-36) + 2/9. Let t = 16 + d. Suppose 0 - t = -3*l. What is the greatest common divisor of 12 and l? 6 Let r be (1 - 2)*(-1 - 2). Let a = -14 + 29. Suppose r*t - a = 0, 4*n + 2*t - 7*t - 391 = 0. Calculate the greatest common divisor of n and 13. 13 Let q be 4*(-2)/(-36) + (-6752)/(-72). Calculate the highest common factor of 94 and q. 94 Let n be (3 - 2)*(5 + -7). Let a = n + 1. Let u be (-3)/6*(a - 13). Calculate the greatest common divisor of 1 and u. 1 Let g be (-1)/4 - (1800/(-32) + 6). What is the greatest common factor of g and 40? 10 Let c(b) = -b**3 - 6*b**2 - b - 2. Let t be c(-6). Suppose 2*a + 22 = t*a. Let w = 0 + 44. What is the highest common divisor of a and w? 11 Let h(u) be the second derivative of -2*u**3/3 - 15*u**2/2 - 10*u. Let k be h(-6). What is the greatest common divisor of k and 45? 9 Suppose 3*h + 17 = q, 0 = -q + 2*q + h + 3. Let u be (-1 + q)*3 + (-12 - -14). What is the greatest common divisor of u and 55? 5 Suppose -500 = -3*c - 2*v + 3, c - 149 = 4*v. Calculate the greatest common factor of c and 110. 55 Let t(j) = -4*j**2 + 5*j - 7. Let o be t(3). Let q = o - -38. What is the greatest common factor of q and 80? 10 Let g be -3*59*(9 + 84/(-9)). Calculate the greatest common divisor of g and 472. 59 Let u(h) = -h**3 + 8*h**2 + 33*h + 13. Let w be u(10). Calculate the greatest common factor of w and 260. 13 Suppose 3*x - 235 = -2*w, 0*x + 5*w + 125 = 2*x. Calculate the greatest common divisor of x and 45. 15 Let u(n) = -21*n - 31. Let f be u(-7). Let k = f + -68. What is the highest common divisor of k and 3? 3 Let o = -1045 - -1065. Calculate the highest common divisor of o and 90. 10 Suppose 0 = 4*y - 4 - 24. Suppose -39*r = -7*r - 1792. Calculate the greatest common factor of y and r. 7 Let s = 262 - 259. What is the highest common factor of 9 and s? 3 Let s(g) = 2*g**3 - 64*g**2 + 12*g - 370. Let k be s(32). Let v = -37 - -93. Calculate the highest common divisor of k and v. 14 Let l = 15 + 3. Let v = -119 - -198. Suppose -f = 3*s - 352 + v, 2*s = 3*f + 171. What is the greatest common divisor of l and s? 18 Let m(h) = -4*h**3 + 4*h**2 - h + 4. Suppose 3*q - 12 = -q. Let d be m(q). Let w = 29 - d. What is the highest common divisor of w and 25? 25 Let w = -1999 - -2267. What is the highest common factor of 1273 and w? 67 Let k = 32 - 18. Suppose 3*t + 3*v = 15, 6*t - 43 = t + 4*v. Suppose 37 = t*z - 257. Calculate the highest common divisor of k and z. 14 Let g = 148 - 73. What is the highest common factor of 15 and g? 15 Let h(d) = d**2 + 5*d - 9. Suppose 3*j = -4*k + k + 9, -2*j - 10 = 0. Let x be h(k). Calculate the highest common divisor of 19 and x. 19 Suppose -3*j = -6, 11*j - 15*j = 4*y - 360. Let a be (1 - 6)*12/10. Let v be 3/1 - (-14 - a). What is the greatest common factor of y and v? 11 Let p be (-350)/(-6)*(-504)/(-210). What is the greatest common divisor of 7 and p? 7 Let y be 5/3*(-60)/(-25). Suppose -y*s - f - 179 = -5*s, -916 = -5*s - 2*f. What is the highest common factor of s and 26? 26 Suppose i = -3*g + 1216, 792 = 2*g + 291*i - 295*i. Calculate the highest common divisor of g and 4. 4 Let k(w) = 2*w**2 + w**3 - 2*w**2 + 49 - 29. Let l be 1/3*(5 + -5). Let t be k(l). Calculate the greatest common factor of t and 5. 5 Let a(c) = 4*c + 3. Let u(q) = 13*q + 8. Let f(x) = -7*a(x) + 2*u(x). Let t be f(-5). Calculate the highest common factor of 25 and t. 5 Suppose -4*b = -6*b + 28. Suppose 2*i + b = -x - 18, 0 = -2*i - 4. Let s = x + 42. Calculate the highest common divisor of s and 35. 7 Let w be 6*(1 + 668/8). Let j be w/27 + (-4)/(-18). Suppose 3*y - 14 = j. What is the greatest common factor of y and 99? 11 Suppose -5*d = -137 - 278. Suppose 26 = 5*t - p - 124, -2*t = -5*p - d. What is the highest common divisor of 145 and t? 29 Let j be 9/(45/10) + 5*5. Suppose 2*i = -2*i + 56. Suppose 0*f = 3*f + 4*k - 35, 2*f - 2*k = i. What is the highest common divisor of j and f? 9 Let t(i) = i + 49. Let y be t(-9). Calculate the highest common factor of 40 and y. 40 Let n(i) = i**3 + 16*i**2 - 17*i + 2. Let v be n(-17). Let t(g) = 14*g - 8. Let l be t(v). What is the highest common factor of l and 4? 4 Let q = -22 - -29. What is the greatest common factor of 56 and q? 7 Let l be 8/14 - (-554)/(-14). Let x = -22 - l. What is the highest common factor of x and 153? 17 Suppose c + 127 = 5*v, -2*v + 4*c = -62 + 4. Let i(u) = 3*u - 2. Let j be i(4). What is the highest common divisor of j and v? 5 Let l = -41 - -20. Let i = l + 31. What is the greatest common divisor of 65 and i? 5 Suppose u - 4*v + 8 - 3 = 0, 3*v = -3*u. Let f be 11 + 0 + u + 3. What is the highest common divisor of f and 117? 13 Let u be 14 - (3/3 - 2). Suppose -u = 11*c - 6*c. Let j be 0 - 1/(c/132). Calculate the highest common divisor of j and 4. 4 Suppose 4*i = -4*j + 368, i + 3*i - 354 = 3*j. Calculate the highest common factor of 135 and i. 45 Let t(v) = -4*v**2 - 11*v - 4. Let p be t(-4). Let r be (12/(-10))/(p/400). Suppose 8*n - 4*n = r. What is the highest common factor of 20 and n? 5 Let i(k) = -4*k - 11. Let u be (3 - (3 + (-8)/(-4)))*3. Let w be i(u). Suppose -3*y + 358 = 4*n, 0 - 8 = 4*y. Calculate the highest common divisor of w and n. 13 Suppose 59 = b - 6.
{ "pile_set_name": "DM Mathematics" }
ainder when 40871 is divided by 97. 34 Calculate the remainder when 232043 is divided by 177. 173 Calculate the remainder when 2124 is divided by 500. 124 Calculate the remainder when 15765 is divided by 2627. 3 Calculate the remainder when 5708 is divided by 1425. 8 What is the remainder when 348191 is divided by 393? 386 What is the remainder when 3941 is divided by 15? 11 Calculate the remainder when 77535 is divided by 232. 47 Calculate the remainder when 15003 is divided by 283. 4 Calculate the remainder when 25095 is divided by 37. 9 What is the remainder when 541 is divided by 132? 13 What is the remainder when 2623 is divided by 258? 43 What is the remainder when 44333 is divided by 44322? 11 What is the remainder when 230824 is divided by 1416? 16 What is the remainder when 179903 is divided by 32? 31 What is the remainder when 12497 is divided by 5989? 519 Calculate the remainder when 1043900 is divided by 88. 44 What is the remainder when 147679 is divided by 34? 17 Calculate the remainder when 4700 is divided by 935. 25 What is the remainder when 29323 is divided by 137? 5 What is the remainder when 41716 is divided by 244? 236 Calculate the remainder when 2908 is divided by 2887. 21 Calculate the remainder when 621163 is divided by 986. 969 What is the remainder when 87825 is divided by 288? 273 What is the remainder when 233 is divided by 15? 8 What is the remainder when 312 is divided by 155? 2 What is the remainder when 64143 is divided by 113? 72 What is the remainder when 57378 is divided by 302? 300 What is the remainder when 7033 is divided by 6947? 86 Calculate the remainder when 33799 is divided by 36. 31 Calculate the remainder when 814461 is divided by 12530. 11 Calculate the remainder when 19298 is divided by 27. 20 What is the remainder when 99311 is divided by 391? 388 What is the remainder when 9883 is divided by 157? 149 What is the remainder when 91595 is divided by 169? 166 What is the remainder when 127045 is divided by 1134? 37 What is the remainder when 4317719 is divided by 8? 7 Calculate the remainder when 64160 is divided by 21384. 8 Calculate the remainder when 668 is divided by 42. 38 What is the remainder when 34234 is divided by 7? 4 Calculate the remainder when 84195 is divided by 217. 216 Calculate the remainder when 3826 is divided by 806. 602 What is the remainder when 43663 is divided by 46? 9 What is the remainder when 181218 is divided by 25888? 2 Calculate the remainder when 351982 is divided by 117323. 13 Calculate the remainder when 29 is divided by 16. 13 Calculate the remainder when 863 is divided by 431. 1 What is the remainder when 239423 is divided by 333? 329 Calculate the remainder when 102899 is divided by 30. 29 What is the remainder when 22211 is divided by 888? 11 Calculate the remainder when 11096 is divided by 596. 368 Calculate the remainder when 1011007 is divided by 10. 7 What is the remainder when 10819 is divided by 1524? 151 Calculate the remainder when 7278 is divided by 20. 18 Calculate the remainder when 81759 is divided by 27249. 12 Calculate the remainder when 77028 is divided by 720. 708 What is the remainder when 478145 is divided by 159374? 23 What is the remainder when 13954 is divided by 164? 14 What is the remainder when 127148 is divided by 9780? 8 Calculate the remainder when 14810 is divided by 92. 90 What is the remainder when 101689 is divided by 50830? 29 What is the remainder when 13101 is divided by 117? 114 What is the remainder when 1158645 is divided by 46? 43 What is the remainder when 155242 is divided by 91? 87 Calculate the remainder when 199022 is divided by 9. 5 What is the remainder when 1198 is divided by 80? 78 What is the remainder when 2311 is divided by 211? 201 What is the remainder when 18829 is divided by 164? 133 Calculate the remainder when 40463 is divided by 189. 17 What is the remainder when 409244 is divided by 45471? 5 What is the remainder when 247497 is divided by 100? 97 What is the remainder when 31361 is divided by 862? 329 What is the remainder when 79587 is divided by 214? 193 Calculate the remainder when 16229 is divided by 15. 14 Calculate the remainder when 222915 is divided by 133. 7 What is the remainder when 2892 is divided by 2575? 317 Calculate the remainder when 1957 is divided by 197. 184 What is the remainder when 2221 is divided by 135? 61 Calculate the remainder when 475437 is divided by 313. 303 Calculate the remainder when 730245 is divided by 51. 27 Calculate the remainder when 58588 is divided by 2929. 8 What is the remainder when 4889 is divided by 4889? 0 Calculate the remainder when 403900 is divided by 40390. 0 Calculate the remainder when 144197 is divided by 236. 1 Calculate the remainder when 10138 is divided by 1527. 976 Calculate the remainder when 18167 is divided by 6016. 119 Calculate the remainder when 4682 is divided by 120. 2 What is the remainder when 53625 is divided by 106? 95 Calculate the remainder when 238725 is divided by 203. 200 Calculate the remainder when 20410 is divided by 498. 490 Calculate the remainder when 4925 is divided by 506. 371 What is the remainder when 40675 is divided by 726? 19 What is the remainder when 7433 is divided by 173? 167 What is the remainder when 586 is divided by 21? 19 What is the remainder when 446262 is divided by 148749? 15 What is the remainder when 38527 is divided by 27? 25 Calculate the remainder when 23679 is divided by 32. 31 What is the remainder when 41857 is divided by 91? 88 Calculate the remainder when 84364 is divided by 1506. 28 What is the remainder when 16558 is divided by 3? 1 Calculate the remainder when 49107 is divided by 95. 87 Calculate the remainder when 272040 is divided by 25. 15 What is the remainder when 6548 is divided by 7? 3 What is the remainder when 48417 is divided by 184? 25 What is the remainder when 79968 is divided by 69? 66 Calculate the remainder when 606 is divided by 554. 52 What is the remainder when 5939 is divided by 297? 296 What is the remainder when 10670 is divided by 5227? 216 What is the remainder when 29230 is divided by 1217? 22 Calculate the remainder when 405 is divided by 28. 13 Calculate the remainder when 5170 is divided by 199. 195 What is the remainder when 58484 is divided by 8346? 62 Calculate the remainder when 53581 is divided by 229. 224 What is the remainder when 1620 is divided by 145? 25 What is the remainder when 65995 is divided by 504? 475 What is the remainder when 693827 is divided by 36? 35 What is the remainder when 45923 is divided by 15305? 8 Calculate the remainder when 127794 is divided by 407. 403 What is the remainder when 580896 is divided by 18153? 0 Calculate the remainder when 226593 is divided by 10. 3 What is the remainder when 53119 is divided by 2636? 399 What is the remainder when 3194947 is divided by 2228? 2223 Calculate the remainder when 753 is divided by 14. 11 Calculate the remainder when 9185 is divided by 20. 5 Calculate the remainder when 4387 is divided by 176. 163 Calculate the remainder when 4121 is divided by 857. 693 What is the remainder when 11444 is divided by 10? 4 Calculate the remainder when 1168 is divided by 153. 97 Calculate the remainder when 222822 is divided by 2561. 15 What is the remainder when 3156 is divided by 489? 222 What is the remainder when 346799 is divided by 340? 339 Calculate the remainder when 27903 is divided by 13946. 11 What is the remainder when 41235 is divided by 20611? 13 Calculate the remainder when 58313 is divided by 130. 73 Calculate the remainder when 1205 is divided by 319. 248 What is the remainder when 9900 is divided by 25? 0 Calculate the remainder when 3050 is divided by 1047. 956 What is the remainder when 13656 is divided by 204? 192 Calculate the remainder when 173978 is divided by 28989. 44 What is the remainder when 44425 is divided by 44422? 3 What is the remainder when 13354 is divided by 278? 10 Calculate the remainder when 104738 is divided by 67. 17 What is the remainder when 4152 is divided by 1148? 708 Calculate the remainder when 9645 is divided by 786. 213 What is the remainder when 2976 is divided by 961? 93 What is the remainder when 11340 is divided by 343? 21 What is the remainder wh
{ "pile_set_name": "DM Mathematics" }
(-9) prime? True Let a be (-136)/32 + (-2)/(-8). Is (-1 - 45)*26/a prime? False Let s = 35 + -39. Is 38668/44 + s/(-22) a prime number? False Let s be (242 + 6)*3/(-3). Let m = -133 - s. Is m a prime number? False Suppose -7*u + 3*u = 0. Suppose -44 = 2*s + 4*t, u*t - 3*t = 2*s + 43. Let w = 57 + s. Is w prime? True Is 11 - -7314 - 2*2/(-2) a prime number? False Is (29 - 26)*(-31983)/(-9) composite? True Suppose 2*r - 3*c - 13 = r, -2*r + 5*c = -22. Is (-1 + (1 - r))*(-1841)/7 prime? True Suppose 4*h - 1 - 7 = 5*p, 3*p + 15 = -h. Let v be p/(-3 + 1 + 1). Suppose 0 = -0*i - v*i + 124. Is i a composite number? False Let g(u) = -u + 407. Suppose -6*n + 80 = -2*n. Suppose -n = -5*p - 5*i, -3*p - 5*i + 20 = -p. Is g(p) a prime number? False Let p = 2004 - 1119. Is (20/(-30))/((-2)/p) prime? False Suppose 4*j = -4*w - w + 20768, w - 20784 = -4*j. Is j a prime number? True Suppose 5*g = -3*f + 2979 + 844, -5*f + 5*g = -6345. Is f a prime number? False Let o(c) = -c**2. Let r(z) = 14*z**2 + 10*z - 13. Let h(d) = -4*o(d) + r(d). Is h(6) a prime number? False Let x(z) = -7*z**2 - 3*z - 13. Let j(k) = -2*k**2 - k. Let l(b) = 6*j(b) - 3*x(b). Is l(-15) a prime number? False Suppose 5*o + y = -0*o + 436, 0 = 4*o - y - 356. Let s be 0/(-2)*(-2)/(-2). Suppose 4*l + 0*l - o = s. Is l prime? False Let l(i) = -13*i**2 - 11*i + 11. Let q(s) = s**2 + s - 1. Let w(v) = -l(v) - 6*q(v). Is w(4) a prime number? True Suppose -3*q + t = -5*q + 760, q - 381 = -t. Is q composite? False Let z(b) be the third derivative of -b**4/24 - 4*b**3/3 + 6*b**2. Let j be z(-8). Suppose -4*d + 136 + 228 = j. Is d a composite number? True Suppose -3*y = 2*y - 3*d - 2405, 5 = -d. Is (1 + y)*(-23 - -24) a prime number? True Let f(c) be the second derivative of -11*c**5/60 - 11*c**4/24 - c**3 - 8*c. Let g(x) be the second derivative of f(x). Is g(-6) prime? False Let s = -26 - -35. Suppose 0 = 3*c, -s + 93 = 2*w - 3*c. Let h = w - 27. Is h composite? True Suppose -2*h - 8 = -0*h. Let t be h/5 - (-29)/5. Suppose -2*g - 3*n = -722 - 452, -2*n = -t*g + 2897. Is g a composite number? True Is ((-33)/(-22))/(3/2810) composite? True Let a(l) = l - 1. Let w be a(0). Let s be ((-29)/1)/(w/4). Is 8 + -5 - (-2 - s) composite? True Suppose -8*j = -281123 + 1243. Is j a prime number? False Suppose -5*a + 8*a + 595 = 2*f, 0 = 2*a - 2. Is f prime? False Let v(q) = 106*q**3 + 4*q**2 + 5*q + 0*q**2 - 2*q**2 - 1. Let s be v(3). Suppose 3*n - a = -2*n + s, 0 = -n + 4*a + 575. Is n a composite number? True Suppose -84*r + 115514 = -70*r. Is r composite? True Let u = -8951 - -13146. Is u a prime number? False Suppose -d + 1196 = 4*y, 0 = -5*d + 3*y + 6238 - 235. Suppose 4*v = -v + d. Suppose -5*h - v = -2*c - 3*h, -4*h + 555 = 5*c. Is c composite? True Let c(o) be the second derivative of 157*o**4/24 + o**3/2 + 2*o**2 - 4*o. Let n(h) be the first derivative of c(h). Is n(4) a composite number? False Let i(d) be the second derivative of 23*d**6/360 + 7*d**5/120 + 5*d**4/12 - 7*d. Let m(k) be the third derivative of i(k). Is m(3) a prime number? False Suppose 6*m - 4086 - 1092 = 0. Is m prime? True Suppose -6686 = 7*k + 2407. Let r = k - -1882. Is r a composite number? True Is 2944 + -1 + (-17 - -13) a prime number? True Suppose 3*j + 2*n - 104017 = 11206, 0 = 2*n - 8. Is j a composite number? True Let t(o) = 12*o**2 + 2*o + 1. Let h(w) = w**3 + 14*w**2 - 2. Let k be h(-14). Let d be t(k). Let b = d + -23. Is b a composite number? True Suppose 0 = 5*l + 5 - 40. Suppose -3*t + 16 = -h, l*t - 20 = 2*t + 5*h. Let i(v) = v**3 - v**2 - 5*v - 1. Is i(t) prime? True Let f = -4908 + 19015. Is f a prime number? True Let d(b) = -b**3 - 2*b**2 - 4. Let a be d(-3). Suppose 0 = -a*r + 265 + 220. Is r a prime number? True Let s(t) be the third derivative of -113*t**6/720 - 7*t**5/120 + t**4/12 - t**2. Let w(r) be the second derivative of s(r). Is w(-4) a prime number? False Let y(c) = -c**3 + 4*c**2 - 10*c + 4. Let s be y(5). Let w = s + 124. Is w a prime number? True Suppose 10*i - 18 = 102. Suppose i*j + 8444 = 61448. Is j composite? True Let p(g) = g**3 + 3*g**2 - 11*g + 7. Let i be p(7). Suppose 2*n - 2*s = 2*s - 478, -2*s = -10. Let x = n + i. Is x composite? False Suppose -37 - 63 = -4*g. Suppose 0 = g*j - 21*j - 2876. Is j a composite number? False Let l(c) = -c**3 - 4*c**2 - 3*c + 2. Suppose -6 = 3*r + 3. Let g be l(r). Let s = g - -12. Is s a prime number? False Suppose -11679 = 20*o - 17*o. Is 7/(-28) + o/(-4) a composite number? True Let g = 11 - 8. Let c be 1*6 + -6 + g. Suppose -2 = -m, -4*m - 275 = -c*y - 61. Is y a prime number? False Let t(o) = -30*o**3 + 8*o**2 + 3*o + 1. Let k be t(-5). Suppose -5415 - k = -9*u. Is u a prime number? True Let a be 14/(-21) - 98/(-3). Let v = 47 + a. Is v composite? False Suppose 0*q + 2*q = -w + 2513, -3*q + w + 3782 = 0. Is q composite? False Let b(g) = 159*g**2 - 3*g + 67. Is b(-11) a composite number? True Let p = 1607 + -1114. Is p a prime number? False Suppose 304 + 139 = t. Is t composite? False Suppose 0 = -4*a - 3*q + 25147, a - 7*q + 3*q = 6301. Is a a composite number? True Suppose 14*y + 1296 - 11026 = 0. Let r = 2644 - y. Is r composite? False Let f = 37070 - 19287. Is f composite? False Let c = 2277 - 334. Is c a prime number? False Let l(z) = -6*z - 114. Let p(x) = 5*x + 113. Let f(v) = 4*l(v) + 5*p(v). Let r be f(0). Suppose o - 270 - r = 0. Is o prime? True Is 6609/(-15)*20/8*-2 a prime number? True Let s(c) = 273*c**2 - 7*c - 5. Is s(-4) a prime number? True Let i(v) = v**3 + 2*v**2 + v + 85. Let g(x) = x + 5. Let b be 27/(-5) - (-10)/25. Let y be g(b). Is i(y) a prime number? False Let a be 88/2*4/(-8). Let o be 6/33 - 13944/a. Suppose 0 = -3*j + j + 4*x + o, -4*x = 20. Is j composite? False Let j = 155 + -150. Suppose -18266 + 2131 = -j*k. Is k a prime number? False Is -5 - ((-894402)/(-36))/(3/(-4)) a composite number? True Let p = -11859 - -29062. Is p prime? True Suppose s - 2*s + 3*p + 1595 = 0, -6 = 2*p. Suppose -4*y = -4*t - 1580, t + s = 4*y - 0*y. Is y composite? False Suppose 8 = -4*r - 3*n, 16 + 24 = -4*r + 5*n. Let c(g) = -g**2 - 8. Let p(o) = -o + 9. Let j(t) = r*p(t) - 6*c(t). Is j(-4) composite? False Let d = 7127 + -3924. Is d a composite number? False Suppose w + 25 = 6*w. Suppose w*u - 502 = -x, 2*x + 615 = 4*u + 1577. Is x composite? False Let o(i) be the second derivative of 5*i**4/2 - i**3/6 + i. Let n be o(2). Let b = n + 139. Is b a composite number? False Let c(v) = 11*v**2 - 11*v - 33. Let g be c(-7). Let j = -246 + g. Is j prime? True Let s be (3*83/(-6))/((-1)/22). Suppose 9*j = 6*j - 2*q + s, 4*q = 5*j - 1551. Is j prime? True Suppose -3*q - 7 + 64 = 0. Let r = 34 + q. Is r prime? True Let q(x) = 15*x**3 - 6*x**2 - 16*x - 6. Is q(5) prime? False Let i(g) = g**3 + 10*g**2 + 2*g + 16. Let b(q) = -q**3 - 11*q**2 - 3*q - 17. Let r(t) = 3*b(t) + 2*i(t). Is r(-13) prime? False Let w(k) be the first derivative of k**6/360 + k**5/40 + k**4/8 + k**3/3 + 3. Let u(q) be the third derivative of w(q). Is u(13) a prime number? True Let l(x) = -2*x + 12. Let m be l(-9). Let j = 32 - m. Suppose -2*i + j + 50 = 0. Is i a composite number? True Let v = -296 + 534. Let m = -17 + v. Suppose 58 = -n + m. Is n a prime number? True Let v(s) = 190*s - 3. Suppose -5*c - 3*i + i = -66, -38 = -2*c + 5*i. Suppose p = c - 10. Is v(p) composite? False Suppose 4*r = -2*w + 6*w - 908, -207 = -w - 4*r. Is w a prime number? True Is 417503/(-82)*(-2 + 0) prime? False Let y(h) be the third derivative of -5*h**6/24 + h**5/20 - h**3/6 + 5*h**2. Let w = 19 - 21. Is y(w) composite? False Let a be 1/(-3) - (-1144)/3. Suppose r - a = 252. Is r a composite number? True Let n(l) = 3868*l**2 - 14*l + 7. Is n(2) prime? True Let l(h) = 44*h**2 - 11*h - 10. Let d be l(-7). Suppose 2*u - 5*o - 976 = 503, 3*u = 3*o + d. Suppose -4*s - 3*a + 734 = 0, 3*s + a = 7*s - u. Is s prime? False Let n = -579 + 865. Let p(y) = -22*y + 5. Let w be p(-7). Let z = n - w. Is z prime? True Is 372/2 + (-4 + -5 - -14) prime? True Suppose -641 = -j - 5*c + 1475, -j = 4*c - 2113. Is j a composite number? True Let z(d) = d**3 - 3*d**2 + 2*d + 2. Let w be z(2). Let r(x) be the second derivative of 7*x**5/20 + x**4/6 - 2*x**3/3 + x**2 - 2*x. Is r(w) a composite number? True Is ((4/10)/((-50)/(-2
{ "pile_set_name": "DM Mathematics" }
culate the common denominator of 48/4669 and 30/7. 4669 Calculate the lowest common multiple of 70 and 1950. 13650 Calculate the least common multiple of 476 and 44. 5236 Calculate the common denominator of 25/95497 and 41/1363. 4488359 What is the common denominator of 65/4356 and 31/9163? 3628548 What is the common denominator of -13/5244 and -5/5658? 215004 Find the common denominator of 47/416084 and 123/70. 14562940 What is the lowest common multiple of 75 and 5270? 79050 Calculate the common denominator of -51/6952 and 17/12496. 987184 What is the common denominator of 101/36 and 125/104448? 313344 What is the common denominator of 73/481980 and -151/240990? 481980 Find the common denominator of 145/48 and -38/3969. 63504 What is the common denominator of 65/143948 and 51/20564? 143948 Find the common denominator of 13/7 and 58/1532463. 10727241 Calculate the common denominator of -99/5350 and -22/16585. 165850 Find the common denominator of 95/9104 and -103/12518. 100144 Calculate the smallest common multiple of 24 and 200397. 1603176 Calculate the lowest common multiple of 7560 and 3024. 15120 Find the common denominator of 87/20104 and 59/90468. 180936 What is the smallest common multiple of 162 and 3267? 19602 Find the common denominator of -7/298672 and 11/10. 1493360 What is the lowest common multiple of 48 and 10216? 61296 Calculate the common denominator of 139/828 and -119/1524. 105156 Calculate the lowest common multiple of 30 and 551720. 1655160 Calculate the lowest common multiple of 35506 and 9594. 4154202 What is the lowest common multiple of 6120 and 1940? 593640 Calculate the lowest common multiple of 13444 and 23527. 94108 Calculate the least common multiple of 10 and 127922. 639610 What is the least common multiple of 18 and 4901814? 4901814 What is the common denominator of -66/45745 and -37/350? 457450 Calculate the common denominator of -85/436 and 133/15780. 1720020 Find the common denominator of 169/1890 and -23/2646. 13230 Find the common denominator of -127/16038 and -7/235224. 705672 Calculate the common denominator of 49/58 and -121/7482. 7482 What is the common denominator of 111/70 and 93/37142? 185710 Calculate the least common multiple of 6910 and 124380. 124380 Find the common denominator of -23/1052 and -19/5260. 5260 Find the common denominator of 81/862408 and -71/14. 6036856 Calculate the smallest common multiple of 42096 and 16. 42096 What is the smallest common multiple of 24464 and 27800? 611600 Calculate the least common multiple of 1957 and 7828. 7828 Calculate the common denominator of 33/32 and 89/20436. 163488 What is the smallest common multiple of 87232 and 23171? 1482944 Find the common denominator of 99/721792 and 133/960. 10826880 Find the common denominator of -43/754148 and 109/873224. 16591256 What is the common denominator of 71/1638 and -167/9282? 27846 What is the smallest common multiple of 2578 and 352? 453728 Calculate the common denominator of 58/1275 and 53/10302. 257550 What is the smallest common multiple of 2536 and 72910? 291640 Calculate the smallest common multiple of 85935 and 171870. 171870 Calculate the common denominator of 91/6 and -53/150099. 300198 What is the common denominator of -107/32300 and -143/1400? 452200 Find the common denominator of 11/35820 and -7/2985. 35820 What is the least common multiple of 19980 and 79920? 79920 Find the common denominator of 11/2781 and 32/13185. 4074165 What is the least common multiple of 570540 and 92? 13122420 What is the least common multiple of 72 and 61380? 122760 Find the common denominator of -51/1508 and -19/156. 4524 Calculate the lowest common multiple of 8 and 12536304. 12536304 Find the common denominator of 31/70816 and -47/320. 708160 Find the common denominator of 25/8944 and -1/263848. 527696 What is the common denominator of -32/1187 and -17/4? 4748 Calculate the least common multiple of 75130 and 69666. 3831630 Find the common denominator of 131/67488 and 73/16872. 67488 Calculate the lowest common multiple of 21210 and 45. 63630 Calculate the common denominator of -95/7764 and -1/12940. 38820 Calculate the common denominator of -101/12 and 29/16428. 16428 What is the smallest common multiple of 10582 and 53768? 1989416 Find the common denominator of -62/1309 and -139/168. 31416 Calculate the least common multiple of 11550 and 82500. 577500 Find the common denominator of 11/6 and -73/1912616. 5737848 What is the least common multiple of 177816 and 72? 533448 What is the lowest common multiple of 1005 and 4506? 1509510 Find the common denominator of 41/199529 and -10/2299. 3791051 What is the common denominator of 2/5 and 24/87611? 438055 Find the common denominator of -75/14 and -52/8405. 117670 What is the smallest common multiple of 96 and 687712? 2063136 What is the common denominator of 61/33422 and -11/1153059? 2306118 Find the common denominator of -101/20298 and 18/77809. 466854 Calculate the least common multiple of 26592 and 4155. 132960 What is the smallest common multiple of 24 and 48918? 195672 What is the least common multiple of 4540 and 29510? 59020 What is the common denominator of 21/10 and -117/31970? 31970 What is the smallest common multiple of 253770 and 66? 253770 Find the common denominator of 89/18585 and -105/2242. 706230 What is the common denominator of -193/32550 and 77/20? 65100 Find the common denominator of 7/5 and 5/33111. 165555 What is the common denominator of -58/243 and 23/324? 972 What is the least common multiple of 14670 and 652? 29340 What is the least common multiple of 63 and 2583? 2583 Calculate the lowest common multiple of 85 and 78565. 1335605 Calculate the common denominator of -13/10 and 19/132666. 663330 Calculate the common denominator of -179/52374 and 109/24940. 523740 Calculate the least common multiple of 21518 and 493. 365806 Find the common denominator of -67/8972 and -37/3452. 7742836 What is the common denominator of -47/388 and -53/32592? 32592 Find the common denominator of -211/210 and -197/252000. 252000 What is the least common multiple of 8 and 46936? 46936 Calculate the common denominator of 137/326620 and 73/30. 979860 What is the lowest common multiple of 35 and 2802380? 2802380 Calculate the common denominator of -31/1068 and -95/256. 68352 What is the common denominator of 1/6772 and 95/18? 60948 Calculate the common denominator of -149/1440 and 71/1872. 18720 Find the common denominator of -25/3556 and -7/37040. 32928560 Calculate the smallest common multiple of 383162 and 29474. 383162 What is the smallest common multiple of 880316 and 39222? 7922844 What is the common denominator of 54/234031 and -2/31437? 2106279 What is the common denominator of 115/168 and -115/94836? 189672 Calculate the common denominator of 17/19476 and 79/270. 292140 What is the common denominator of -139/216 and 115/13572? 81432 Find the common denominator of -76/6237 and -19/990. 62370 What is the common denominator of 103/96 and -109/768? 768 What is the lowest common multiple of 2378 and 262? 311518 What is the common denominator of -25/91364 and 37/245980? 3197740 Find the common denominator of -71/3600 and -61/5040. 25200 Find the common denominator of 49/164 and 103/217932. 8935212 What is the least common multiple of 11859 and 3? 11859 What is the least common multiple of 3816 and 2344? 1118088 What is the common denominator of -93/2848 and 61/74048? 74048 What is the common denominator of 83/276304 and 4/7? 276304 What is the common denominator of 4/705 and 1/255? 11985 What is the common denominator of 149/75522 and 121/820? 755220 What is the lowest common multiple of 639 and 17040? 51120 What is the common denominator of -79/63 and 68/530901? 530901 Calculate the common denominator of 12/30365 and 23/15. 91095 Calculate the common denominator of -61/12519 and -1/1926. 25038 What is the common denominator of -89/23870 and 74/35805? 71610 What is the least common multiple of 8 and 9152? 9152 Calculate the lowest common multiple of 12 and 15768. 15768 Calculate the lowest common multiple of 14840 and 280. 14840 What is the common denominator of 157/30 and -20/2362251? 23622510 What is the lowest common multiple of 277310 and 499158? 2495790 What is th
{ "pile_set_name": "DM Mathematics" }
-5))? 5/6 What is the value of (-966)/240 + (-212)/(-8480)? -4 What is (-603052)/29589 + (-24)/(-63)? -20 What is the value of (-538)/(-11) - (-49)/(536 + 3)? 49 What is 6/468*-91 + -4 + (-1685)/(-330)? -2/33 15936/(-45152) - 278/(-884) -1/26 What is the value of (198/(-12))/(123/164) - 7? -29 Calculate (2639/819)/(20/(-180)). -29 What is (-6)/3 + 16 + 6898 + -6918? -6 (19 + -13 - 19)*(-4 + (-1 - -6)) -13 Calculate (-28304)/(-1232) + (-256)/(-9856). 23 Evaluate ((-959)/(-84) + 54/216)*(-30)/(-7). 50 ((-1530)/70 + 20)/(7 - (-444)/(-63)) 39 (-5224)/1949205*(-30)/8 2/199 Evaluate (6/(-27) + (-65)/(-90))*(17 + -49). -16 Calculate 2013/154 - -13 - (-27)/(-378). 26 Calculate (3/6*(-3 + -7))/(2910/(-42486)). 73 Calculate 17 - ((-7)/(-14))/((-95)/9690). 68 Evaluate (0 - 9*(-13)/39)*34/(-6). -17 What is (-22)/(-104) + (-837)/(-21762)? 1/4 Calculate ((-1312 - -1324)*2/48)/((-2)/(-88)). 22 What is the value of (-764)/20 + (-21)/15*(-702)/819? -37 What is the value of 72/6 - (-2134)/(-194)? 1 Calculate 56/36*((6/20)/3)/(132/1980). 7/3 14 + (-10545)/855 + (-1 - 0) 2/3 Calculate 12/10 - (397602/3240)/199. 7/12 Calculate (-28798)/(-8778) + ((-8)/(-10))/((-24)/100). -1/19 What is (-684)/190*(-680)/(-204)? -12 What is (23/(-322))/((-2)/(-192)) + 90/9? 22/7 ((265 - 127) + -141)/((-3)/(-94)*-2) 47 What is ((-12)/(-10))/(970/(-26675))? -33 What is the value of (-26)/143*23100/450? -28/3 46 - (-64)/(-96)*483/(-14) 69 Evaluate (25 - 58 - -53) + 3168/(-126). -36/7 Calculate 0 + -44 - 420*960/16128. -69 Evaluate ((-54)/(-3)*(-165)/11385)/(1*2). -3/23 Calculate 357*36/420 - ((-8)/70 + (-46)/161). 31 What is the value of -88 + ((-2)/(-7))/(2 + (-104)/56)? -86 (((-6)/(-20))/((-4)/10))/(186/10664) -43 What is 653 + -644 + (64/(-6) - 5/(-15))? -4/3 -1*(44 - 2)*(-32 + (9 - 9570/(-420))) 9 (1029/(-63) - -15)/(16/(-252)) 21 What is (-10)/(-6)*72/(-90)*(-6 - (-14322)/2380)? -2/85 Evaluate (4/(12/(396/(-33))))/86. -2/43 Calculate ((-60)/18 - 5 - -3)*5649/(-1076). 28 What is the value of -2 + (-13 - (-39808)/1808) - 3/(9/21)? 2/113 Evaluate (82/(-4) - -25)*(182/21 + 3 + -3). 39 Calculate ((-30870)/(-979020))/(28/36). 3/74 Evaluate 14*100/1470*(65/(-50) + (-1)/(-10)). -8/7 What is 36/175 - 716/2506 - ((-126)/(-1025))/7? -4/41 Evaluate 3/4 - 42/(-8) - 86814/15561. 8/19 What is the value of (-4)/(-486) + (-13445289)/(-312741)? 43 What is the value of 1*(-65)/(-1326)*(-7)/5*(-3)/7? 1/34 Evaluate (-19317208)/114078*(-2 + (2 - (-6)/(-8))). 127 What is -5010 - -5069 - (18/24)/((-1)/(-24))? 41 What is ((-1290)/(-1419))/((-45)/(-220)*2)? 20/9 What is (-2)/30 + (-147 - 34639/(-235))? 1/3 Evaluate (10 - (-147)/(-28))/(1300/(-80) - -16). -19 Evaluate (276/(-33) - -8) + (-34857)/(-297). 117 What is ((-10)/15 - (44 + -45))*99? 33 Evaluate ((-11)/((-33)/6))/(((-744)/(-713))/12). 23 Evaluate (-603)/(-134) + 39/2 - -13. 37 What is the value of 232/232*(10*1 - (-163548)/(-16343))? -2/277 Calculate -74 - ((-51)/6 - (-5 + -8 - (-125)/10)). -66 What is the value of (-1264)/(-186) + 31748/(-246047)? 20/3 Calculate (-1670)/(-76) + -1 + (-106 - -85). -1/38 What is the value of ((-34)/4 - -7)*(-44 + (-28)/6)? 73 What is the value of (-246)/(-3) + (-87)/(5655/1105)? 65 What is 3447 - 3455 - 86*(0 + 1/2)? -51 Evaluate (1332/120 - 11)*50/125. 1/25 Calculate ((-183)/(-12200)*-15)/((-6)/10). 3/8 What is the value of -25 - ((-2100)/189)/(-100)*(155 + -2)? -42 Calculate 167/(23881/(-16016)) + 242. 130 Calculate 235/((-381875)/1170)*10/(-6). 6/5 Calculate 129/(-2580)*(-3 - 417) + (-118)/(-2). 80 What is (-2)/((-2106)/52 - -41)? -4 578/(-561) - 18*(-36)/(-1944) -15/11 What is 1*(-7)/2 - 57939/(-60698)? -28/11 Calculate 82 + -26 + -44 - -49. 61 What is 8569/133 + -1 + -10 - (-8)/14? 54 What is the value of ((-49237)/(-742) + -63)/((-16)/56)? -47/4 Evaluate (-10626)/(-49126) + (-10)/290 - 79/495*1. 1/45 What is the value of ((-1)/1 + -4)*65520/(-8400)? 39 Evaluate (8 + 374/(-44))*4*-1 + -33. -31 What is the value of 9 - 70 - 779/(-41)? -42 Calculate (-292)/(-98) + 4765/233485. 3 Calculate 33 - ((-1891)/217 - (24/(-14) + 2)). 42 What is (8/(-4))/(-58 - (-3390)/60)? 4/3 Evaluate 45/(-9) - ((-2)/10)/(47/(-5405)). -28 ((-5)/(-7) - 953097/66157) + (-16)/(-1) 30/13 What is 10 + 225/(-24) - (-890)/1424? 5/4 54120/(-27720) - (-25)/15 -2/7 What is (-3)/16 + 2667346/(-92576)? -29 What is the value of ((-378)/(-1001))/9*(-162)/4 - 1962/(-3597)? -15/13 Calculate (2/(-18))/1 - 168/(-14364)*57. 5/9 Evaluate 9686/(-28336) + 0 - (-3678)/42297 - (-12)/44. 1/56 Evaluate 155610/(-15827) + (-53)/(901/(-2)). -68/7 Calculate (36*26/31122)/(87/(-21) - -5). 2/57 Evaluate (-106)/(-4823)*4*(-4)/(-16). 2/91 What is (-835601)/(-10149) - (-56)/3? 101 260/2730*(-252)/312 + 596/(-26) -23 What is the value of (-192)/(-1212)*((-285)/15)/(-456)? 2/303 Evaluate (-27)/(-45)*(4774/(-264) + 18). -1/20 What is 45/105*(-84)/72 - (-50)/12? 11/3 Calculate ((-10)/140 - 0)/(140/16 - 7). -2/49 Calculate 1102/76 - -8 - 23. -1/2 What is (-7)/(84/(-24))*(78 - 118)? -80 Calculate 2*((-15 - -10) + -3) - (1 + 6)*-2. -2 What is the value of 11 + 2 - ((-14 - -51) + -61)? 37 What is the value of (47/((-940)/(-40)))/(11 - -6)? 2/17 Calculate (5/(350/(-4)))/((1209/(-91) - -13)*-2). -1/10 What is the value of ((-221)/(-39) + 4238/78)*(-10)/6? -100 1281/610 + 48/(-160) 9/5 What is (5 + -57 + 47)/((-33)/(-759))? -115 What is the value of (9 + 5510/(-608))*100? -25/4 Calculate -3*46*(-52)/156. 46 What is ((-2)/5)/((-24)/(-40)) - 48530/690? -71 What is -66 - (-234 - -162) - ((-549)/(-69) + -2)? 1/23 (-7824)/(-567240) - 17108/(-145) 118 What is 2136/801 + 3 + (-1732)/312? 3/26 What is the value of (-698)/(-349)*(-235)/(-10) - (-1 - (-3 + -1))? 44 What is 1/((3126/792 + -4)*14/49)? -66 What is (14719/(-35014) - 12/(-28))*(-3 + (4 - 2))? -1/122 ((3 + (-32)/12)/(-1))/(52/3588) -23 Evaluate (-551793)/(-47982)*(-16)/46. -4 (1464/1342)/(6 - (-104)/(-22)) 6/7 Calculate 39*1/8 - (-118 - 572)/(-138). -1/8 Evaluate ((-40)/640*-84)/((-539)/528 + (-4)/6). -28/9 What is the value of -11 + 2/(-6) + 37/((-30192)/(-8534))? -7/8 Calculate (-51)/(-15) + -2 - (-93 - (-32736)/465) - -4. 28 What is the value of 67/1072*(-122)/26 - ((-1224)/234 + 5)? -1/16 Evaluate ((-4368)/637)/(6 + 696/(-112)). 32 What is the value of 164/(-14)*((-1391)/(-156) + -6)*52/260? -41/6 What is (((-8733)/(-656))/(-71))/((-6)/20)? 5/8 What is the value of 324/(-13725) - 53/(-59 - 1266)? 1/61 680150/(-603900) + (2 - (-24)/(-27)) -1/66 Calculate (-3*51/21)/((1443/(-182))/37). 34 (-50358)/(-4796) + 1185/(-10) -108 Calculate 2/3 + (-300)/36 - (-871)/(-201)*1. -12 What is the value of (-1)/(-64*(-17)/34 + -26 - (-499)/(-83))? 83 Calculate 4/(-22)*(9*7222/12420 + 32/(-6)). 1/55 Evaluate ((-12730)/(-400) - 32)*(-60)/70. 3/20 (-2)/3*(-47 - -20)*(-42)/(-18) 42 What is the value of (-602000)/(-27950) - (1 + 21)? -6/13 What is (6 - 882)/12 - -54? -19 (4/94)/(((-12690)/(-405))/94) 6/47 What is (-23 - (-14)/28*22) + (104 - 16/(-4))? 96 Evaluate 21*1*(44/143)/(7*(-132)/2002). -14 What is (25133/8582)/(70/392)? 82/5 What is 3/48 - ((-34077)/(-37))/((-1456)/13)? 58/7 What is (-462)/5005*(22 + 8)? -36/13 What is ((-189)/(108108/(-520)))/((-36)/(-165))? 25/6 (455/45 + -10)*-29 + (-5)/(-3) -14/9 Calculate (-4)/(-18) - (7/(-17))/((-1152)/1280). -4/17 Calculate (85 + (-33959)/406)/((-3)/6). -19/7 What is the value of ((-10140)/442 + 23)*-3 - (122/(-34) - -4)? -10/17 (-174324)/20895 - (-286)/130 -43/7 What is (-1284)/4066*(-3268)/(-12)? -86 What is (-5106)/(-22876) - (-30)/(-420) - 198/4257? 2/19 What is 14 - ((-8476)/((-78)/(-3)))/(-13) - 1*-11? -1/13 What is 24720/912 + (-2)/19? 27 Evaluate (-640)/1024 + (-10249)/2072. -39/7 What is the value of (((-1400)/(-30))/20)/(7/(-10))? -10/3 Calculate (14/4 - 2)*(-151)/25821*-1767. 31/2 Calculate (170/51)/(2 + 16/(-72)). 15/8 (21 - (17 - 6) - 3)*(-96)/364 -24/13 What is the value of (35 - (5 - 2)) + 43? 75 Evaluate (-16)/(-10)*5 - (-1 - 1212/(-135)). 1/45 What is the value of (-800)/(-128)*(-50)/(-125) + 69/2? 37 What is -23*7/(-1610) + (-3383)/(-1870)? 21/11 (-27654)/7542 + (-24)/(-84) + (-8669)/(-1974) + -1 1/94 What is (57/(-266))/(507/281554)? -119 Calculate (11/(-4))/((-28060)/488 + -300). 1/130 What is the value of 4/50*((-38)/(-4) - (-31185)/(-4158))? 4/25 Calculate (5619/9365)/((-228
{ "pile_set_name": "DM Mathematics" }
*2 - q + 5. What are the prime factors of v(o)? 3, 5 What are the prime factors of (-4344)/(-108) - 4/18? 2, 5 Suppose 0*l - 5*b + 7575 = 5*l, -5*l + 7585 = 3*b. List the prime factors of l. 2, 5, 19 Let i(f) = -f**3 + 9*f**2 + 12*f - 15. Let a be i(10). Suppose h - 30 = -a*h. Suppose -h*x + 35 + 135 = 0. List the prime factors of x. 2, 17 Let o(n) = 34*n. Let s be o(2). Let f = s - 137. What are the prime factors of 1/(-4) + f/(-4)? 17 Let c be (-9 + 9)*1/2. Let n(g) = -g**3 + 2*g**2 - g - 6. Let s be n(c). Let z(y) = y**3 + 5*y**2 - 9*y - 15. List the prime factors of z(s). 3 Let d(r) = 48*r - 3. Let z(y) = 95*y - 6. Let g(f) = 5*d(f) - 2*z(f). List the prime factors of g(1). 47 Let n(y) = y**2 + 12*y + 10. Let x be n(-10). Let g be (-3 + x)*(3 + -2). List the prime factors of -1 - -2 - (g + 4). 2, 5 Suppose -2*f - 2*j - 4 = 0, -3*f + 7 - 3 = -2*j. Suppose f = -7*r + 3*r. Suppose 4 = 5*s - 11, r = 4*t + 5*s - 71. What are the prime factors of t? 2, 7 Let k be 1626/(-12) - 1/(-2). Let n = -55 - k. What are the prime factors of n? 2, 5 Suppose 0*s - 3*s - g + 44 = 0, 0 = -2*s + 4*g + 6. Let h = s - 75. Let i = -44 - h. List the prime factors of i. 2, 3 Let k(o) = -2*o + 3. Let j = 14 - 20. Let q(i) = i - 5. Let y be q(j). List the prime factors of k(y). 5 Suppose 57 = -4*j + 13. Let w(v) be the second derivative of -v**4/12 - 7*v**3/3 - 8*v**2 - v. List the prime factors of w(j). 17 Let v(o) = o - 2. Let k be v(7). Let z be (36/k)/(18/60). Suppose w = -0*w + z. What are the prime factors of w? 2, 3 Suppose 82*c - 10 = 77*c. Suppose 4*w = c*f + 780, -w + 188 + 7 = -4*f. List the prime factors of w. 3, 5, 13 Let n be (-1 - 29)*(-1 - 90/(-12)). What are the prime factors of ((-10)/(-6))/(1165/n + 6)? 5, 13 Suppose -16*z + 2*n + 2148 = -14*z, -4*z = -2*n - 4306. List the prime factors of z. 13, 83 Suppose 3*i + 5*c + 1 = 0, 3*i - 4*i = 4*c + 5. Suppose 3*s = 4*l - 232, i*s - 8*s = l - 81. What are the prime factors of l? 61 Let u be 5 + -4 - -3 - 128. Let y = -61 - u. List the prime factors of y. 3, 7 Let w = -94 + 312. List the prime factors of w. 2, 109 Let r(n) = -n**3 + 10*n**2 + 12*n - 8. Let f be r(11). Suppose f*k + 0*k - 15 = 0. Suppose -124 = -k*u + 116. What are the prime factors of u? 2, 3 Let b(j) = j**2 - 8*j + 11. Let p be b(7). List the prime factors of p/(16/60)*7. 3, 5, 7 Let x be -3 - 1/2*-50. Let k(v) = -v + 6 + x*v - 8. List the prime factors of k(2). 2, 5 Suppose -14*o + 11*o = -15, -4*o = 4*j - 1488. List the prime factors of j. 367 Suppose 2*z + 2349 = 4*n - 3*n, 2 = z. What are the prime factors of n? 13, 181 Suppose 225 + 103 = 4*v. Let t = v + -48. List the prime factors of t. 2, 17 Let p(r) = 2*r**3 - 18*r**2 + 8*r + 17. Let i(u) = -2*u**3 + 18*u**2 - 8*u - 18. Let n(g) = -4*i(g) - 5*p(g). List the prime factors of n(7). 127 Suppose -295*n = -338*n + 274469. What are the prime factors of n? 13, 491 Let u(z) = -2*z - 3. Let j be u(-3). Let d = -108 + 147. Suppose -3*m = -j - d. List the prime factors of m. 2, 7 Let p be 30*4/(24/10). Let a be 28/10*p/20. Suppose -37 + a = -2*f. What are the prime factors of f? 3, 5 Let u(z) = z**2 + 4*z - 5. Suppose 3*a = -0*a - 6. Let j = a - 4. List the prime factors of u(j). 7 Suppose -3*p = 174 - 510. Let k = p - 56. What are the prime factors of k? 2, 7 Let g(j) = 5*j + 13. Let q be g(-5). Let c(p) = -20*p - 15. What are the prime factors of c(q)? 3, 5 Let b(l) = 5*l**2 + 2*l - 1. Let a(r) = 6*r**2 + r - 1. Let s(z) = -2*a(z) + 3*b(z). Let y be s(-3). Suppose -y - 36 = -p. List the prime factors of p. 2, 5 Suppose 900 + 2210 = 10*p. List the prime factors of p. 311 Suppose 4*f + f = -10. Let t(l) = -10*l**3 + 3*l**2 + 2*l + 3. List the prime factors of t(f). 7, 13 Let p = -12 - -37. Let m = p + -3. Suppose q - 28 = -3*w, 4*w = -3*q + m + 12. What are the prime factors of w? 2, 5 Let t = 381 + 2516. List the prime factors of t. 2897 Let w = 20 - 20. Suppose -4*h + 143 - 43 = w. What are the prime factors of h? 5 Let i(a) = -17*a + 16. Let d be i(-8). Let c = 213 - d. What are the prime factors of c? 61 Let d(o) = o**2 + 8*o + 5. Let h be d(-7). List the prime factors of (-66)/(0 - (h - -3)). 2, 3, 11 Let b be 7*((-1)/(-2))/((-6)/12). Let y(f) = -f**2 - 17*f + 13. What are the prime factors of y(b)? 83 Suppose 4*g - 7*g = 4*l + 11, -4*g - 25 = -5*l. Suppose -l = c - 33. What are the prime factors of c? 2 Let f(g) = 3*g**2 - 7*g + 17. Let x(m) = -m**2 + 4*m - 8. Let o(i) = 3*f(i) + 5*x(i). What are the prime factors of o(-4)? 79 Let u(w) = 2*w**2 - 29*w - 158. What are the prime factors of u(35)? 1277 Let t = 2334 + -1078. What are the prime factors of t? 2, 157 Let p = -6 + 10. Suppose -5*r + 45 + 244 = 4*w, 0 = r + p*w - 45. What are the prime factors of r? 61 Let q(g) = 2*g**2 - 2*g + 8. Let n be q(-7). Suppose 4*h - 126 = -2*z + 112, h - n = -z. List the prime factors of z. 11 Let s(w) = -4*w**3 + w**2 + 2*w + 1. Let v be s(-1). Suppose 1453 - 4198 = -9*m. Suppose z - m = -v*z. List the prime factors of z. 61 Let w(v) = v**3 + 4*v**2 - 2*v. Let d be 0 + (-4 - 0/(-4)). Let q be w(d). Suppose 7*y - q*y = -48. List the prime factors of y. 2, 3 Suppose -21 = 4*p - p. Let u(x) = -x**3 - 6*x**2 + 8*x + 10. Let g be u(p). Suppose 0 = g*d - 0*d - 30. List the prime factors of d. 2, 5 Let r(b) be the second derivative of -29*b**6/720 - b**5/120 + 7*b**4/12 + 7*b. Let m(v) be the third derivative of r(v). List the prime factors of m(-1). 2, 7 Suppose 3*g + 1161 = r + 2*g, -5*g = -10. What are the prime factors of r? 1163 Let v(c) = 6*c**2 - c - 3. Suppose -2*n = -2*d, -5*d + 2*d - 2*n - 15 = 0. List the prime factors of v(d). 2, 3 What are the prime factors of (0 + 4/6)*(42 + 321)? 2, 11 Let d be 14/63 - 25/(-9). Suppose 2 = d*p - 10. Suppose -9*y + p*y + 10 = 0. List the prime factors of y. 2 Let g = 586 - 76. List the prime factors of g. 2, 3, 5, 17 Let s = 5 - 12. What are the prime factors of -102*(28/8)/s? 3, 17 Suppose -5153 + 145 = -16*x. List the prime factors of x. 313 Let t be 4/(-6)*(6 + 3). Let o = 9 + t. What are the prime factors of o? 3 Suppose -22 + 136 = 3*s. Let j = -29 + s. List the prime factors of j. 3 Let i(n) = 2*n + 22. Let w be i(10). List the prime factors of w/(-9)*(1 - 4). 2, 7 Let l(p) = -p**3 - p**2 - p - 24. Let c be l(0). Let j = c - -29. What are the prime factors of j? 5 Let s(o) = 2*o**2 - 12*o + 1. Let i be s(5). What are the prime factors of 2/i + (224/(-9))/(-4)? 2, 3 Let y be 2/(-7) - 133/49. Let t(u) = -u**3 + 2*u**2 - u - 2. What are the prime factors of t(y)? 2, 23 Let j(p) = p**3 - 2*p**2 + 290. Let y(k) = -k**2. Let b(f) = -j(f) + 2*y(f). Let h be b(0). What are the prime factors of 16/(-72) + h/(-9)? 2 Let h(p) = p**3 - 7*p**2 + p - 4. Let u be h(7). Let c(s) = -s**2 - 6*s + 1. Let z be c(u). What are the prime factors of (-257)/(-7) + z/(-91)? 37 Suppose j - 5*j + 2134 = -2*o, 4*o = 12. List the prime factors of j. 5, 107 Let c be ((-8)/3)/(2/(-3)). Suppose c*l = 3*b - l - 1, 0 = -3*b + 4*l + 2. Suppose -66 = -u - b*u. What are the prime factors of u? 2, 11 Let n(x) = 5*x + 55. Suppose -17 = -2*g + 5. What are the prime factors of n(g)? 2, 5, 11 Let s(i) = -1340*i - 77. List the prime factors of s(-1). 3, 421 Suppose a + 36 = -4*o + 3*o, 5*o + 144 = 4*a. Let f = 63 + o. List the prime factors of f. 31 Let p = -299 - -476. List the prime factors of p. 3, 59 Let k = -83 - -166. What are the prime factors of k? 83 Let i = 1719 - -246. What are the prime factors of i? 3, 5, 131 Suppose 174*q = 173*q - 354. Let b = 547 + q. List the prime factors of b. 193 Suppose 4*b - 31 = -2*v - 3*v, 3*v + 43 = 2*b. List the prime factors of 174/34 + b/(-119). 5 Let i = 81 + -67. Let v = 51 - 18. Let w = v - i. List the prime factors of w. 19 Let z = -77 - -42. Let a = z + 50. List the prime factors of (-98)/(-3) + (-10)/a. 2 List the prime factors of (-2)/(-8) - 4679/(-4). 2, 3, 5, 13 Let d be 0 + (-4)/(-2) + 2. Suppose -d*u + 70 = -26. List the prime factors of 620/u - (-1)/6. 2, 13 Let o(k) = -19 - 18 + 29*k + 29. What are the prime factors of o(8)? 2, 7 What are the prime factors of (1 + 66)*(14 + -4 + 2)? 2, 3, 67 What are the prime factors of ((-485)/15)/((-11)/627)? 19, 97 Suppose -3*d + 97 = -5*i, 2*i = 2*d + i - 67. Let g = 91 + d. List the prime facto
{ "pile_set_name": "DM Mathematics" }
2, 4*q = -5*m. Let b(h) = h**3 + 12 - q*h**2 + h - 8 - 5 + 6*h. Let o be b(3). Solve -o*u = 2*f, 3*u + 2 = -f + u for f. 2 Suppose -124 = -4*g + f, -g - 2*f - 9 = -31. Suppose -3*t - 27 = -g. Suppose 0 = -90*s + 86*s. Solve s = -b - t, 2*i - 4*b - 4 = i for i. 0 Let j(x) = 16*x - 1037. Let o be j(65). Solve 4*s - 1 - 1 = c, -3*c - 6 = -o*s for c. -2 Let t be ((-6)/(-12))/((-2)/312). Let k be ((64/20)/4)/(4/(-390)). Let i = k - t. Solve 0 = -5*w - 20 - i, 5*a = w + 9 for a. 1 Suppose 10 = 3*a + 2*a. Suppose -43*y - 21366 = -21452. Solve 3*j - 2*b = 22, -3*j = -a*b + 4*b - y for j. 4 Let m = 4689 - 4687. Solve 2*s + 14 = -3*v, m*s - 5*v = 8 - 6 for s. -4 Let v(c) = 2*c**3 - 2*c**2 + 95*c - 191. Let f be v(2). Solve 5*k - 13 = 4*s, -5*k - f*s = -3*s + 3 for k. 1 Let o be ((-32)/136)/((-60)/510). Solve -17 = h - 10*p + 6*p, p - o = h for h. 3 Let l(i) = 5*i + 115. Let d be l(-22). Suppose y = -4*q + 17, -d*y - 35 = -0*q - 4*q. Solve q*o - j = 7, 8*j = 2*o + 5*j + 5 for o. 2 Suppose 86 - 86 = 61*h. Solve -3*g = -4*s - 4 + 5, -3*g - 5*s - 19 = h for g. -3 Let y be (4 + -2)/((-3)/27). Let v = -15 - y. Suppose -46*t - 68*t + 3228 - 378 = 0. Solve -3*n - v*z - 15 = 0, -2*n = 3*z - 8*z - t for n. 0 Suppose 5*i = -d + 994 - 960, d = -4*i + 28. Solve 16*g - 4*r + 20 = 12*g, 4*r = -3*g + i for g. -2 Suppose -2*p + 10 = -5*l, 0 = -3*l + l - 5*p - 33. Let x be (-4)/(-2)*-2*3/l. Suppose -x*f + 37 = 22. Solve f*j - 12 = -3*i + 20, -5*j + 40 = 5*i for i. 4 Suppose 8*q = 4*q + 2*b + 1310, 0 = -3*q - 3*b + 960. Let o = 329 - q. Solve -5*m = -o*t - 17, 3*m = -0*m + 3 for t. -3 Suppose -373*f = -411*f + 40 + 36. Solve -x + 0*x + f*n = 15, -4*n = 4*x for x. -5 Suppose 6*p + 17*p = 22885. Suppose -p*j + 12 = -993*j. Solve k + 2*r + j = -3*k, -5*k = 4*r + 15 for k. 1 Let t(s) = s**3 + 29*s**2 - 31*s + 66. Let o be t(-30). Suppose -4*y = 20*y - o. Solve -j + 15 = -5*j - q, -y*q = -j - 25 for j. -5 Suppose 2*b - 1 = 2*g + 25, -2*g + 4 = 0. Solve 13 = 2*f - 3*l, 0 = -12*f + b*f + l + 8 for f. -1 Let a = 17 - 10. Suppose a = 3*c - 2. Suppose c*q + 25 = 3*v + 2*v, 5 = v - 3*q. Solve 4*h = x + 1, x + 2 = -v*h - x for h. 0 Let x(u) be the second derivative of -u**5/20 - u**4/12 + 3*u**3 - 5*u**2 + 2*u + 34. Let w be x(-5). Solve 0 = 5*m - j + 10 - 28, w = j - 2 for m. 4 Suppose 40 = -8*m + 264. Suppose -2*s = -m - 52. Let v be (832/s)/8 - (-2)/5. Solve 15 = v*n, -3*k - 4*n + n + 30 = 0 for k. 5 Suppose 88*y - 37 + 341 = 164*y. Solve 0 = -2*f - 2*p + y, 15*f - 18*f - p = 4 for f. -3 Let x = 666 + -687. Let l(a) = -a**3 - 19*a**2 + 43*a + 25. Let g be l(x). Solve -f + 4*f = -m + 9, g*f - 2*m - 22 = 0 for f. 4 Let o be 12/72*-2*1*6/(-2). Solve 5*f + 4 = -4*u, -u + 14*f - o = 9*f for u. -1 Let f = 233 - 18. Let p = f + -214. Suppose i + 7 = r - 7, 0 = -r + 2*i + 15. Solve -2*g - p = m, -4*g - 5*m - r = -2*g for g. 1 Let q be ((-5)/(3 + 2))/(1/(-5)). Let a be 3/(-2)*(-704)/264. Solve 5*g = -l - q, 25 = a*l - 9*l - 3*g for l. -5 Suppose u + 36 = 10*u. Let i(j) = 15*j**2 - 2*j + 1. Let z be i(1). Suppose -90 = -z*x - u*x. Solve -4*p + 0 = -3*m - 8, -m + x*p - 10 = 0 for m. 0 Let w(y) = -y**3 + 2*y**2 - y + 5. Let s be ((-304)/(-52) - 6) + (-56)/(-26). Let l be w(s). Solve -l = -3*x, -3*a - a + 13 = x for a. 3 Let j = 450 + -287. Let l = j + -159. Solve -i + 0*i - l = 3*k, -k + 3 = -4*i for i. -1 Suppose 2*b - 16 = -2*o, 2*o + b + 2 = 2*b. Solve 0 = o*m + 5*v - 17, 4*v = 2*v + 10 for m. -4 Let i = 243 + -243. Let r be (4 - 3)*(i - 2)*-11. Let u be -4*2/(-8)*2. Solve -3*y = -b + 7, u*y + 2*b - 7*b + r = 0 for y. -1 Let c(g) = -40*g**2 + 402*g - 15. Let j be c(10). Solve 0 = 3*i + j*l - 21, 3*l - 15 + 6 = 0 for i. 2 Let j(d) = -d**2 + 6*d + 247. Let s be j(-13). Suppose 5 = f - s. Solve 0 = -5*n - 2*m - 13, n + 2*m + 4 = -f for n. -1 Let u = 1302 + -1283. Solve 14*v + p + 6 = u*v, v + 4*p = -3 for v. 1 Let d = 53 - 1. Suppose -i - 42 = -d. Suppose 11*f = 13*f - i. Solve 0 = -5*r + 5*c - 30, -f*r = 4*c + c + 10 for r. -4 Suppose 1 = -2*j - 9, 707 = 4*o + 5*j. Let m = -178 + o. Solve m = u - 4*z, -4*z = 3*u + 18 - 1 for u. -3 Suppose 15*m - 171 = 6*m. Suppose 5*x - 66 = m. Solve 4*d + 10 = -5*y - 15, 2*y + x = -3*d for y. -1 Let m(n) = 9*n - 12. Let s be m(5). Let p(d) = 0*d**2 - d**2 - 16*d - s + 51*d - 6*d. Let o be p(27). Solve -5*y + 21 = 3*h + h, 4*y - o = h for y. 5 Suppose -525 = 567*g - 602*g. Solve 3*j = -5*x - g, -x + j + 0 - 3 = 0 for x. -3 Let g(z) = z**2 - 12*z - 30. Let r = -24 - -28. Suppose 2*u - 4*i = 30, -2*u + u + r*i = -15. Let n be g(u). Solve 3*l + 5*c + 25 = 0, l + 3*c + n = 2*l for l. 0 Suppose -119*n - 146*n - 34 = -282*n. Solve 3*m = -n*f - 9, -4*f + 8 = 2*m + 22 for m. -1 Let i(q) = -q**3 + 2*q**2 - q + 4. Let x be (-4)/((-72)/33 + (-4)/(-22)). Let z be i(x). Solve -5*c - 22 + 7 = z*u, 3*c + 25 = 2*u for c. -5 Suppose -14*i + 9*i + 25 = 0. Let k be (-1)/(78/(-364) - (-2)/(-7)). Solve y + k*d - 6 = 5*d, -4*d - 8 = -i*y for y. 0 Suppose 0 = -4*b - 4, -3*b + 294 - 289 = 4*w. Solve -o - 19 + 24 = 4*l, -5*l - w*o = -7 for l. 1 Suppose -s - 791 = -5*l, -3*l + 11 = 5. Let k = 787 + s. Solve 3*y + 11 = -5*t, -4*t - 2 - k = 2*y for y. -2 Suppose 0 = 6*k - 3*k - z - 2, -z = 2. Suppose 0 = 2*p - x - 8, -p - 3*x - 24 + 21 = k. Solve 4*v = -2*n - p*n, 0 = -5*v - 2*n for v. 0 Suppose x + 403 - 410 = v, -v - 2 = 0. Solve 2 = x*z - 3*o - 12, 3*z + 5*o = -12 for z. 1 Suppose 4*p + 2*f - 32 = -p, 2*f - 2 = 0. Solve -g + h + p = -0*g, 3*g + 5*h = -14 for g. 2 Let u = 2303 + -2298. Solve -2*v = -4, 0 = -u*b + v - 3*v - 6 for b. -2 Let c = 5 + 0. Suppose -667 = 173*o - 610*o + 207. Solve i = -w, -c*w - o*i = -0*i for w. 0 Let p = 530 + -440. Suppose 19*j - p = j. Solve -j = -0*i + i, 5*m + 5 = -i for m. 0 Let r = -26560 - -26585. Let g be 1/3*(-6)/2. Let h be 2*g/4*-6. Solve f + h*s + s + 3 = 0, 5*s + r = 3*f for f. 5 Let k(j) = j**3 - 52*j**2 + 41*j + 514. Let n be k(51). Solve -4 = -2*z - 4*b, 8*z - 4*b = 9*z - n for z. 0 Let n = 4599 + -4586. Solve 0 = -2*g - 5*d + n, -7*g + 10*g - 5*d = 7 for g. 4 Let t = 15 + -11. Suppose l - 5*d + 7 = 20, -t*l = 2*d - 96. Solve 7 = 2*y - i, -6 = y - 5*i - l for y. 2 Suppose 0 = -6*h + 48. Suppose 4*g + 2 = -5*a, 14 = -0*g + 4*g - 3*a. Solve d + h = -5*q - 0, -q = g*d - 2 for d. 2 Let m be 4/28*418 - 6/(-21). Let t = m + -6. Let j = t + -51. Solve 2*o - 3*i = -13, i + j*i - 12 = 0 for o. -2 Suppose 54 = -261*q + 267*q. Solve -5*d - 2*y = -11, 2*d - y + 10 = q for d. 1 Suppose -y = -5*g - 25 - 26, -2*g = -4*y + 78. Solve -2*c = 5*t + y, -8 = 18*c - 16*c + 3*t for c. 2 Let h = 4498 - 4494. Solve -h*g + s = -20, 10*s + 32 = 5*g + 7*s for g. 4 Let d(k) = k**3 + k**2 - 10*k - 15. Let s be d(8). Let r = 486 - s. Solve -2*b + 7*b - r = -5*u, -4*b = 0 for u. 1 Let q(w) = w**3 - 40*w**2 + 231*w + 2. Let p be q(33). Solve -5*n = -p*k - 29, 16*k - 14*k + 9 = n for k. -2 Let x = -947 + 422. Let w = x - -528. Solve j + 7 = o - 4*j, -9 = 5*o - w*j for o. -3 Let c(p) = p**3 - p**2 + 7*p - 16. Let s be (-26 - -28) + (5 - 2) + -2. Let m be c(s). Solve g + m = 5*l, -4 = -5*g + 3*g for l. 5 Let i(o) = -13*o - 279. Let t be i(-23). Solve -14*h - t = -9*h, -5*c - 3*h = 32 for c. -4 Suppose 4*r = -2*u - 2, -5*u + r - 66 + 94 = 0. Solve -p - u*m = -13, 0*p = 3*p + 2*m for p. -2 Suppose 0 = m + 5*c - 3*c - 6, 0 = -2*m + c - 3. Suppose 20*z + 26 = 5*d + 21*z, m = -4*d + 4*z + 16. Solve 4*y + y = -3*h + 11, -23 = h - d*y for h. -3 Let y = 8 + -6. Suppose -77*m + 14 = -70*m. Let w be (m/(-6))/((-3)/36). Solve -y*c - 19 = c + u, -3*c - w*u = 31 for c. -5 Let m be -2 - 3/((-6)/8). Suppose -143 = 15*c + 37. Let v(u) = -3*u - 36. Let g be v(c). Solve g = m*f + 3*j - 3, 0 + 3 = -3*f + 3*j for f. 0 Suppose 0 = 41*f - 31*f - 35 - 5. Suppose 25 = 3*o + 7. Suppose o*y - 4*y = -f*k, k - 3 = -y. Solve 3*l + 14 = -d, 0 = 4*d + 2 + y for l. -4 Let f = 552 + -547. Suppose -4*q = f*d - 5 - 36, 4*d - 32 = -3*q. Solve 0 = 5*v + 4*l + 3, -l + 3*l = -q for v. 1 Suppose h - 2*w - 10 + 2 = 0, h - 8 = -4*w. Let m(n) = -29*n + 9. Let k be m(-2). Let x = -65 + k. Solve -x*a - 5*l - h = a, -5*a + 32 = -3*l for a. 4 Let b(a) = 3*a**2 - 19*a + 35. Let p be b(3). Solve -3*s - 2*s = 5*l + 20, -p*l + 5*s - 30 = 0 for l. -5 Suppose -2*s - 139 - 3 = -4*n, -s = -1. Let t be (-1)/(-3) + 1356/n. Le
{ "pile_set_name": "DM Mathematics" }
00 46530 (base 7) to base 6 131120 639 (base 10) to base 4 21333 Convert 9a19 (base 11) to base 4. 3032121 What is 388f (base 16) in base 12? 8467 -161a4 (base 11) to base 8 -54516 Convert -13232112 (base 4) to base 12. -16386 -3436 (base 9) to base 12 -1580 What is -140b (base 14) in base 9? -4762 14a6 (base 14) to base 7 13466 333312 (base 4) to base 8 7766 200020 (base 3) to base 14 272 What is -412 (base 11) in base 9? -612 -7177 (base 8) to base 11 -2874 What is -10643 (base 8) in base 2? -1000110100011 Convert 9b0 (base 12) to base 6. 10340 Convert 42301 (base 5) to base 4. 230022 Convert -1000222 (base 3) to base 5. -11010 4414 (base 9) to base 10 3253 Convert 1255 (base 9) to base 6. 4205 What is 1022330 (base 4) in base 9? 6518 899 (base 10) to base 7 2423 Convert 17524 (base 12) to base 15. 9e3a Convert -11031 (base 7) to base 3. -10210110 -23101 (base 5) to base 12 -b57 What is 2b24 (base 15) in base 11? 6a58 Convert 1100010010 (base 2) to base 3. 1002010 -377 (base 14) to base 8 -1265 -8806 (base 10) to base 15 -2921 Convert -2055 (base 8) to base 4. -100231 What is -4101 (base 5) in base 13? -316 Convert -10216 (base 8) to base 7. -15233 What is -13641 (base 9) in base 14? -3543 What is -1100110010000100 (base 2) in base 7? -305433 What is -153 (base 14) in base 4? -10031 What is 1fb1 (base 16) in base 2? 1111110110001 -527 (base 16) to base 12 -91b What is 187 (base 13) in base 12? 1b4 What is -122663 (base 8) in base 3? -2011012002 8c3 (base 15) to base 11 1543 Convert -112422 (base 5) to base 13. -1b44 Convert 1d7 (base 16) to base 9. 573 51061 (base 9) to base 16 8335 What is -3795 (base 11) in base 9? -6703 What is -2122211 (base 3) in base 13? -b62 What is -4056 (base 8) in base 12? -1266 Convert 10404 (base 5) to base 8. 1331 22220 (base 4) to base 11 569 -1130 (base 12) to base 3 -2121200 -ac18 (base 13) to base 9 -35847 Convert -4ec3 (base 15) to base 2. -100000111000001 Convert 1809 (base 11) to base 9. 3144 11100010011 (base 2) to base 7 5165 725 (base 10) to base 4 23111 What is -12013 (base 5) in base 6? -4031 -1c0 (base 16) to base 3 -121121 Convert 5a9 (base 12) to base 16. 351 What is 5ca (base 13) in base 3? 1101110 -9567 (base 11) to base 7 -51621 What is 452 (base 12) in base 8? 1176 Convert 20112221 (base 3) to base 7. 16633 1011110 (base 2) to base 9 114 What is -2132 (base 6) in base 12? -348 What is -6627 (base 9) in base 6? -34341 Convert 1657 (base 16) to base 2. 1011001010111 What is 22201110 (base 3) in base 16? 18d5 What is 2598 (base 10) in base 6? 20010 What is 3560 (base 8) in base 14? 9a0 Convert -23332302 (base 4) to base 3. -2111022120 What is 5340 (base 10) in base 8? 12334 -1354 (base 6) to base 13 -217 What is -2be5 (base 15) in base 16? -24e0 Convert 1001020 (base 3) to base 9. 1036 What is -3022 (base 6) in base 2? -1010010110 What is 4863 (base 10) in base 5? 123423 What is -2010002001 (base 3) in base 6? -520344 -14525 (base 11) to base 5 -1124342 What is -6606 (base 7) in base 5? -33413 Convert 25314 (base 9) to base 13. 7996 7438 (base 9) to base 8 12526 6a43 (base 11) to base 10 9243 -163 (base 16) to base 7 -1015 Convert 4101 (base 7) to base 11. 1083 Convert -114 (base 9) to base 16. -5e Convert 1834 (base 10) to base 6. 12254 Convert -3240 (base 6) to base 13. -453 8858 (base 13) to base 5 1102001 What is 455 (base 10) in base 14? 247 133 (base 5) to base 16 2b 460 (base 9) to base 11 314 -122022 (base 3) to base 15 -212 -10253 (base 9) to base 13 -310b What is -2f1 (base 16) in base 13? -45c Convert 31331312 (base 4) to base 11. 39a86 96d (base 15) to base 5 32003 13321111 (base 4) to base 9 48324 Convert 1151 (base 10) to base 2. 10001111111 13562 (base 8) to base 9 8208 What is -56 (base 13) in base 11? -65 Convert 1544 (base 8) to base 3. 1012011 Convert -602 (base 11) to base 15. -338 -69 (base 12) to base 7 -144 2271 (base 15) to base 6 53454 Convert -805 (base 15) to base 11. -13a1 -111001001000 (base 2) to base 4 -321020 68b (base 12) to base 16 3cb -133532 (base 6) to base 12 -72a8 What is -235 (base 10) in base 7? -454 -339 (base 11) to base 5 -3110 746 (base 15) to base 5 23031 1256a (base 12) to base 11 17862 Convert -1110001101 (base 2) to base 15. -409 Convert -22001001 (base 3) to base 15. -1b0a What is 430 (base 5) in base 2? 1110011 Convert 2332 (base 5) to base 11. 291 -15750 (base 9) to base 6 -122030 673 (base 9) to base 12 3a0 What is -1445 (base 6) in base 12? -285 132 (base 9) to base 15 75 Convert -235445 (base 7) to base 3. -2011122202 10430 (base 5) to base 15 345 336 (base 9) to base 11 231 Convert 1a38 (base 13) to base 11. 2a57 What is -1a2 (base 15) in base 7? -1046 What is -796 (base 15) in base 14? -8a8 -1410 (base 7) to base 6 -2310 What is -5826 (base 15) in base 14? -6b67 -753 (base 13) to base 8 -2343 1740 (base 11) to base 7 6323 What is 1118 (base 11) in base 13? 892 Convert 30032 (base 4) to base 15. 372 What is 2626 (base 8) in base 16? 596 -20440 (base 5) to base 12 -962 Convert -12211 (base 6) to base 13. -a90 -2033 (base 8) to base 6 -4511 3787 (base 11) to base 14 1b27 Convert -12125 (base 10) to base 5. -342000 426 (base 14) to base 10 818 560 (base 15) to base 4 102333 Convert 632 (base 8) to base 10. 410 Convert -583 (base 9) to base 3. -122210 Convert 300216 (base 7) to base 9. 76276 980 (base 13) to base 8 3131 What is 2006 (base 9) in base 10? 1464 -495e (base 15) to base 3 -210102022 Convert -8a3 (base 13) to base 12. -a39 What is 402 (base 10) in base 16? 192 Convert -887d (base 14) to base 4. -11301033 Convert -6543 (base 8) to base 3. -11200221 7226 (base 9) to base 14 1cdb Convert -1121202 (base 3) to base 6. -5245 327 (base 12) to base 5 3323 Convert d93 (base 14) to base 3. 10200011 What is -1249 (base 10) in base 11? -a36 Convert 102202220 (base 3) to base 10. 8583 -3041 (base 5) to base 14 -204 100001011001 (base 2) to base 14 ac9 What is 100010011011 (base 2) in base 3? 10000121 What is -ffaa (base 16) in base 14? -19bd0 -4152 (base 14) to base 2 -10101111101100 389 (base 10) to base 7 1064 What is 136844 (base 9) in base 10? 83794 What is 105a (base 13) in base 8? 4340 -37629 (base 10) to base 6 -450113 -16ad (base 14) to base 16 -fe9 2210 (base 6) to base 12 366 What is 100111110 (base 2) in base 14? 18a 322133 (base 4) to base 12 21bb 13006 (base 15) to base 12 2b1b0 -5446 (base 9) to base 14 -1667 Convert -6046 (base 13) to base 14. -4b7a -c7 (base 13) to base 14 -b9 -b08 (base 14) to base 4 -201310 Convert -6752 (base 11) to base 6. -105054 What is 589 (base 15) in base 14? 658 What is 2428 (base 14) in base 8? 14244 Convert 1484 (base 15) to base 9. 6027 Convert -417 (base 8) to base 11. -227 What is 101302 (base 5) in base 8? 6377 What is 537a (base 14) in base 8? 34120 Convert -7274 (base 16) to base 2. -111001001110100 What is -1297 (base 13) in base 7? -10516 Convert 461 (base 10) to base 13. 296 Convert -31425 (base 6) to base 10. -4265 Convert -2230 (base 6) to base 5. -4042 54340 (base 6) to base 3 101020220 What is 1813 (base 11) in base 15? a43 227 (base 8) to base 4 2113 What is -10304 (base 5) in base 7? -2024 Convert -3223 (base 13) to base 9. -10481 ac98 (base 13) to base 6 303403 632a (base 11) to base 6 102445 Convert -7363 (base 10) to base 2. -1110011000011 Convert 1a32 (base 14) to base 16. 128c What is -151 (base 16) in base 11? -287 Convert c6 (base 16) to base 11. 170 Convert -430 (base 9) to base 15. -186 Convert -2654 (base 8) to base 16. -5ac What is 1437 (base 8) in base 15? 384 What is 380 (base 10) in base 6? 1432 Convert -5013 (base 6) to base 12. -769 -112121 (base 3) to base 14 -202 Convert -1441 (base 14) to base 6. -24333 1210202 (base 3) to base 6 10032 123 (base 12) to base 5 1141 What is -19a5 (base 12) in base 11? -2403 Convert 34a (base 11) to base 3. 120110 What is 971 (base 13) in base 3? 2012202 -2313 (base 10) to base 13 -108c Convert 14895 (base 10) to base 5. 434040 What is 552 (base 10) in base 4? 20220 What is 4124304 (base 5) in base 2? 10000011101111110 Convert 709 (base 13) to base 10. 1192 What is 60c (base 15) in base 8? 2522 What is -117 (base 13) in base 11? -162 Convert -7352 (base 11) to base 4. -2120021 What is 1b89 (base 14) in base 3? 20212222 Convert 40134 (
{ "pile_set_name": "DM Mathematics" }
What are the prime factors of 10241278? 2, 491, 10429 List the prime factors of 220725. 3, 5, 109 List the prime factors of 1929086. 2, 83, 11621 What are the prime factors of 791? 7, 113 List the prime factors of 3651987. 3, 1217329 List the prime factors of 7183490. 2, 5, 718349 List the prime factors of 16209306. 2, 3, 59, 15263 What are the prime factors of 511288? 2, 79, 809 What are the prime factors of 298292? 2, 74573 What are the prime factors of 11617335? 3, 5, 53, 4871 What are the prime factors of 4828? 2, 17, 71 List the prime factors of 7713504. 2, 3, 26783 What are the prime factors of 4748052? 2, 3, 395671 What are the prime factors of 684508? 2, 11, 47, 331 What are the prime factors of 628603? 73, 79, 109 List the prime factors of 380241. 3, 14083 List the prime factors of 1800606. 2, 3, 17, 127, 139 What are the prime factors of 39718? 2, 7, 2837 List the prime factors of 10653040. 2, 5, 37, 59, 61 List the prime factors of 1707430. 2, 5, 113, 1511 What are the prime factors of 14546? 2, 7, 1039 List the prime factors of 488477. 11, 367 What are the prime factors of 471843? 3, 103, 509 List the prime factors of 40923. 3, 4547 List the prime factors of 7244649. 3, 107, 7523 What are the prime factors of 1079825? 5, 47, 919 List the prime factors of 1896907. 71, 26717 What are the prime factors of 15315843? 3, 19, 47, 5717 What are the prime factors of 513154? 2, 256577 What are the prime factors of 3846194? 2, 11, 79, 2213 What are the prime factors of 14349451? 37, 547, 709 What are the prime factors of 23411139? 3, 941, 8293 List the prime factors of 17790635. 5, 83, 163, 263 What are the prime factors of 1505046? 2, 3, 250841 What are the prime factors of 2256895? 5, 67, 6737 What are the prime factors of 7016142? 2, 3, 7, 167051 List the prime factors of 17824269. 3, 37, 160579 What are the prime factors of 240537? 3, 11, 37, 197 What are the prime factors of 164867? 113, 1459 What are the prime factors of 1374690? 2, 3, 5, 45823 What are the prime factors of 3672472? 2, 19, 37, 653 List the prime factors of 11203194. 2, 3, 1303, 1433 List the prime factors of 6089825. 5, 7, 17, 23, 89 What are the prime factors of 180625? 5, 17 List the prime factors of 7122834. 2, 3, 19, 59, 353 What are the prime factors of 176318? 2, 23, 3833 What are the prime factors of 1658922? 2, 3, 276487 List the prime factors of 64786. 2, 29, 1117 What are the prime factors of 8933200? 2, 5, 23, 971 List the prime factors of 1800841. 7, 257263 What are the prime factors of 31950716? 2, 7, 1141097 List the prime factors of 636830. 2, 5, 43, 1481 What are the prime factors of 585212? 2, 23, 6361 What are the prime factors of 107116? 2, 61, 439 What are the prime factors of 593088? 2, 3, 3089 What are the prime factors of 281662? 2, 140831 List the prime factors of 13428678. 2, 3, 2238113 List the prime factors of 3102850. 2, 5, 62057 What are the prime factors of 105999? 3, 89, 397 What are the prime factors of 21508? 2, 19, 283 What are the prime factors of 166028? 2, 41507 What are the prime factors of 1801171? 41, 197, 223 What are the prime factors of 221197? 221197 List the prime factors of 700016. 2, 67, 653 What are the prime factors of 17687374? 2, 59, 149893 What are the prime factors of 5996918? 2, 47, 131, 487 What are the prime factors of 22490764? 2, 5622691 What are the prime factors of 77615? 5, 19, 43 What are the prime factors of 2015975? 5, 13, 6203 List the prime factors of 1992710. 2, 5, 89, 2239 What are the prime factors of 17592311? 11, 145391 What are the prime factors of 217697? 217697 List the prime factors of 3884539. 23, 168893 What are the prime factors of 2121748? 2, 499, 1063 What are the prime factors of 12026126? 2, 7, 19, 29, 1559 List the prime factors of 1258652. 2, 23, 13681 List the prime factors of 371058. 2, 3, 61843 List the prime factors of 2518516. 2, 7, 11, 13, 17, 37 List the prime factors of 994083. 3, 23, 14407 List the prime factors of 3549660. 2, 3, 5, 67, 883 What are the prime factors of 6091231? 599, 10169 List the prime factors of 3338866. 2, 1669433 What are the prime factors of 11606765? 5, 2321353 What are the prime factors of 163484? 2, 23, 1777 List the prime factors of 341954. 2, 37, 4621 What are the prime factors of 29683? 29683 List the prime factors of 448159. 448159 List the prime factors of 521014. 2, 13, 29, 691 What are the prime factors of 32320975? 5, 71, 131, 139 List the prime factors of 432343. 432343 List the prime factors of 350301. 3, 7, 2383 What are the prime factors of 18070921? 11, 1642811 What are the prime factors of 22925751? 3, 43, 4133 What are the prime factors of 1576722? 2, 3, 7, 31, 173 What are the prime factors of 768828? 2, 3, 79, 811 List the prime factors of 287272. 2, 149, 241 List the prime factors of 223092. 2, 3, 6197 What are the prime factors of 171849? 3, 57283 What are the prime factors of 279325? 5, 11173 List the prime factors of 8577491. 13, 113, 5839 What are the prime factors of 251985? 3, 5, 107, 157 List the prime factors of 111963. 3, 37321 What are the prime factors of 635778? 2, 3, 11, 13, 19 What are the prime factors of 120197? 7, 11, 223 What are the prime factors of 554238? 2, 3, 41, 751 What are the prime factors of 7698601? 29, 71, 3739 What are the prime factors of 149824? 2, 2341 What are the prime factors of 6352607? 6352607 What are the prime factors of 372245? 5, 74449 What are the prime factors of 86241? 3, 17, 19, 89 List the prime factors of 332481. 3, 19, 307 List the prime factors of 995282. 2, 17, 73, 401 What are the prime factors of 1044613? 1044613 What are the prime factors of 7015476? 2, 3, 13, 44971 What are the prime factors of 5830972? 2, 7, 29, 43, 167 List the prime factors of 5889020. 2, 5, 277, 1063 List the prime factors of 26177. 26177 What are the prime factors of 264821? 137, 1933 What are the prime factors of 7945287? 3, 7, 19, 19913 What are the prime factors of 1054126? 2, 527063 List the prime factors of 459840. 2, 3, 5, 479 List the prime factors of 353622. 2, 3, 58937 List the prime factors of 215742. 2, 3, 41, 877 What are the prime factors of 1378930? 2, 5, 7, 19699 List the prime factors of 466438. 2, 7, 33317 List the prime factors of 231264. 2, 3, 11, 73 What are the prime factors of 11579111? 11579111 List the prime factors of 74747. 74747 List the prime factors of 97926. 2, 3, 19, 859 What are the prime factors of 1180125? 3, 5, 1049 List the prime factors of 649353. 3, 216451 What are the prime factors of 275046? 2, 3, 45841 What are the prime factors of 285351? 3, 11, 8647 What are the prime factors of 8493958? 2, 11, 35099 List the prime factors of 12591541. 389, 32369 What are the prime factors of 320377? 320377 List the prime factors of 1308563. 1308563 List the prime factors of 39842. 2, 11, 1811 List the prime factors of 1172693. 1069, 1097 List the prime factors of 26498. 2, 13249 What are the prime factors of 53127? 3, 5903 What are the prime factors of 1751786? 2, 875893 What are the prime factors of 2091471? 3, 697157 List the prime factors of 155001. 3, 7, 11, 61 What are the prime factors of 582965? 5, 116593 List the prime factors of 1560585. 3, 5, 13, 53, 151 What are the prime factors of 553537? 17, 32561 What are the prime factors of 55979? 7, 11, 727 What are the prime factors of 784074? 2, 3, 17, 7687 List the prime factors of 3404106. 2, 3, 21013 What are the prime factors of 215121? 3, 71707 List the prime factors of 6839645. 5, 1367929 What are the prime factors of 3386216? 2, 423277 List the prime factors of 2773880. 2, 5, 31, 2237 List the prime factors of 12817. 7, 1831 List the prime factors of 4069096. 2, 508637 List the prime factors of 500621. 11, 71, 641 List the prime factors of 6314254. 2, 3157127 What are the prime factors of 508196? 2, 13, 29, 337 List the prime factors of 51828. 2, 3, 7, 617 What are the prime factors of 1103? 1103 List the prime factors of 230241. 3, 11, 6977 What are the prime factors of 91295? 5, 19, 31 List the prime factors of 148506. 2, 3, 53, 467 List the prime factors of 3539049. 3, 937, 1259 List the prime factors of 2524391. 571, 4421 List the prime factors of 4856754. 2, 3, 7, 115637 What are the prime factors of 2448677? 7,
{ "pile_set_name": "DM Mathematics" }
**2 + 13*g + 43. What are the prime factors of j(-5)? 3 Let d(w) = w**2 - 6*w + 9. What are the prime factors of d(7)? 2 Let x = -6 - -10. Suppose 0 = -4*i - 4*z + 44, 5 = 5*i + 2*z - 44. What are the prime factors of x + 3/(i/6)? 2, 3 Let l be 2/7 - 111/21. Suppose 2*t = 4*t - a + 41, 5*a = -4*t - 47. Let n = l - t. What are the prime factors of n? 13 Let l(o) = o**2 + o + 17. Let h(d) = 9*d**2 - d**3 - 6 + 0*d**2 - 2*d**2 - 5*d. Let v be h(6). What are the prime factors of l(v)? 17 Let j = 141 + -95. List the prime factors of j. 2, 23 What are the prime factors of 19 + (0 - -4)/4? 2, 5 Let f(h) = h**2 + 1. Let k be f(1). Let o be 3 - -3*1/(-3). Suppose 40 = k*l + o*l. List the prime factors of l. 2, 5 Let k = -4 - -4. Suppose -4 = w, k*h + 3*w = h - 16. Suppose -j + 15 = h. What are the prime factors of j? 11 Let t be 5/(-20) + 21/4. Let i = 5 - t. Suppose 2*q = -i*q + 20. What are the prime factors of q? 2, 5 List the prime factors of -7*(12/8*10)/(-1). 3, 5, 7 Let x be 6/5*(-10)/(-4). Suppose 2*j = j - x. List the prime factors of 20/j*-3 - 0. 2, 5 Suppose z + 11 = 5*x, -5*x - 4*z = -3*x. Suppose -x*i + 24 - 10 = 0. Suppose -4*s = -i*u + 3*u + 4, 2*u = 8. What are the prime factors of s? 3 What are the prime factors of (1*696)/3 - (-5)/(-5)? 3, 7, 11 Let o = 177 - 123. List the prime factors of o. 2, 3 Let j(z) = 3*z**2 + 0*z**2 - 3 - z**2 + 4*z. List the prime factors of j(-4). 13 Suppose -4*n = n. Suppose n = k - t - 1, -t + 2 - 7 = k. Let o(g) = -2*g - 2. List the prime factors of o(k). 2 Let y(g) = 3*g**2 + 3*g + 3. Let i be y(-2). Let b be -9*3/((-18)/40). Suppose -i*w + 14*w = b. What are the prime factors of w? 2, 3 Suppose -10 = 5*h + 5*o, -3*h + h - 8 = 3*o. Let b = 2 + h. Suppose 14 = -b*q + 54. List the prime factors of q. 2, 5 Suppose -9*d = -7*d + 40. Suppose 21 = -o - 2*o. Let m = o - d. What are the prime factors of m? 13 Let g(s) = -s + 4*s**2 - 3*s**2 - 4 + 0*s. Let q be g(3). Let n = q - -2. List the prime factors of n. 2 Let d be (-6)/(-15) - (-4)/(-10). Suppose -8 = m - d*m. Let o(n) = -3*n - 11. What are the prime factors of o(m)? 13 Suppose -u + 192 = 3*u. Let n be -1 - (u/2)/1. Let c = -14 - n. List the prime factors of c. 11 Let b = 12 + -7. Suppose -34 = b*p - 219. List the prime factors of p. 37 Suppose 0 = x - 4*x - 2*a + 10, 3*a = 3*x - 15. Suppose -3*n + 6 = v, 0*v = -3*v + x*n + 31. What are the prime factors of v? 3 Let t(p) = -p**3 - 6*p**2 - 3*p + 1. Let a be t(-5). Let w = 25 + a. What are the prime factors of w? 2 Let o = 13 - 10. Suppose -4 - 1 = 5*z, 0 = -s + o*z + 19. List the prime factors of s. 2 Let k(w) = 4*w + 3. Let g(p) = -17*p - 12. Let s(t) = -2*g(t) - 9*k(t). Let b be s(-2). Suppose -b + 19 = 2*v. What are the prime factors of v? 3 Let l be -1*(-1 + (1 - 1)). Let b be (3/(-6))/(l/(-8)). Suppose a - 8 = b. List the prime factors of a. 2, 3 List the prime factors of 0 + 93 + -1 + -1. 7, 13 Let o be ((-15)/6 + 0)*-2. Suppose 4*j + o = 25. Suppose 2*l + 9 = j*l. List the prime factors of l. 3 Suppose -25 + 7 = -3*h. Let m(j) = j**2 - 2*j - 5. What are the prime factors of m(h)? 19 Let v(d) = 2*d - 2. Let j = -4 - -8. Let p(g) = g - 2. Let f(z) = j*p(z) - 3*v(z). What are the prime factors of f(-3)? 2 Let j(q) = q**3 - 6*q**2 + 7*q - 4. Let f be j(5). Suppose 3*c = 3*u - f, -2*u + c = 5*c - 10. List the prime factors of u + 9/(-3) + 8. 2 Let f(u) = -u - 8. Let k be f(6). Let r = -2 - k. What are the prime factors of r? 2, 3 Suppose -5*t - 58 = -163. What are the prime factors of t? 3, 7 Suppose -2*z + 10 = -4*z. What are the prime factors of (-63)/z - (-4)/10? 13 Let m(u) = u**2 - 10*u + 12. Let i be m(8). Let a = i + 6. What are the prime factors of a? 2 Suppose -5*c - 3 = 2. Let b be (3 - 2 - c) + -29. Let f = -17 - b. What are the prime factors of f? 2, 5 Let m(p) = -p**2 + 6*p + 9. Let w be m(8). What are the prime factors of ((3 - w) + -3)*1? 7 Suppose 0*m - 2*m - h = -10, -3*m + 25 = 4*h. Suppose 0 = m*j - 5 - 1. Suppose j*b + b - 6 = 0. List the prime factors of b. 2 Let q(v) = -4 - 5 + 5 + 2 - 5*v. Let l be q(2). What are the prime factors of (-1 + 15)*(-6)/l? 7 Let u = -10 + 4. Let d = u - -11. What are the prime factors of d? 5 Let m(f) = -f**2 + 7*f + 10. Let q be 3/2*(-8)/(-6). Suppose 35 = 3*l + q*l. List the prime factors of m(l). 2, 5 Let p(r) = r**2 + 7. What are the prime factors of p(-5)? 2 Suppose 166 = -4*d + 394. What are the prime factors of d? 3, 19 Suppose 3*w - w = 10. Suppose -2*p + w*d + 17 = 2*d, 5*p + 3*d = 32. What are the prime factors of p? 7 Let q(a) = -5*a + 2. Let m(h) = -3*h + 1. Let x(r) = 8*m(r) - 5*q(r). What are the prime factors of x(8)? 2, 3 Let d = 3 - -16. List the prime factors of d. 19 Suppose 2 = 5*b - 2*l, b - 22 = 4*l - 9*l. Suppose b*y + 0 = 6. Suppose 3*j - 8 = f - 2, y*j + 6 = 5*f. List the prime factors of f. 3 Let y = 19 - -23. What are the prime factors of y? 2, 3, 7 Let p(x) = -x**2 - 5*x - 4. Let w be p(-4). Suppose -5*h + 0*h = w. Suppose -m + 6 = -3*f, -1 = -f - h. What are the prime factors of m? 3 Suppose l + 24 = 2*l. Let f = -15 + l. What are the prime factors of f? 3 Suppose -4*x + 6 = -18. Let g = x + -3. What are the prime factors of g? 3 Let j be (0 - -1)/(2/(-6)). Let t be (0 - -7)/(j/(-6)). Let b = t + 5. What are the prime factors of b? 19 Suppose 2*o - 4 = 8. Suppose -2*g + o = -8. What are the prime factors of g? 7 Suppose 0*n = 3*n - 96. What are the prime factors of n? 2 Let p(v) = -v - 2. Let q be p(-7). Let k(r) = 2*r + 3*r - 3*r + q*r**2 + 1. What are the prime factors of k(-1)? 2 Let b(w) be the first derivative of w**2 - 7*w + 1. List the prime factors of b(7). 7 Suppose -k + 0*k + 17 = p, 79 = 5*k + 2*p. Suppose 2*n - k = n. List the prime factors of n. 3, 5 Let f(m) = -m + 1 + 3*m - m. Let k be f(5). Suppose -4*o + k = -o, -18 = -2*b - o. List the prime factors of b. 2 Let p = 1092 - 771. What are the prime factors of p? 3, 107 Suppose -2*n + 22 = -22. Let h = n - 13. List the prime factors of h. 3 Let a(n) = 2*n**2 + 22*n + 34. What are the prime factors of a(-14)? 2, 59 Let h = 12 - 7. Suppose -3 = -t + h. List the prime factors of t. 2 Let f(m) = m**3 + 8*m**2 - 4. Let y be f(-5). Let a = -36 + y. Let w = -16 + a. What are the prime factors of w? 19 Let m(z) = 3*z - 4. Let c be m(3). Let d(p) = p**3 - 3*p**2 - 6*p - 2. List the prime factors of d(c). 2, 3 Suppose -k - 3*k + 4*f = -24, -k + 3*f = 4. Suppose k = v + 2. List the prime factors of v. 3 Let y(w) = -w**3 + 3*w**2 - w - 2. Let z be (-76)/(-18) + 8/(-36). Let u be y(z). Let g = u - -31. List the prime factors of g. 3 Suppose -4*g + 7*g - 123 = 0. Suppose 5*f = 4*m - 12 - g, 0 = 4*f + 20. List the prime factors of m. 7 Let w(o) = -43*o + 4. What are the prime factors of w(-3)? 7, 19 Let q = -5 - -6. List the prime factors of (3 - 2)/(q/46). 2, 23 Let y(i) = -i**2 + i + 5. Let p be y(4). Let h be p/14 + 1/2. What are the prime factors of (3 + -4)*(-17 + h)? 17 Let p = -6 - -6. Let a = p - -3. What are the prime factors of 1/2*66/a? 11 Suppose -c + 275 = 2*z + z, 5*z + c = 459. Suppose -n + 3 = 4, -3*i + 2*n = -z. What are the prime factors of i? 2, 3, 5 Let f be (-12)/18 + (-124)/(-6). Let b = f - 12. What are the prime factors of b? 2 What are the prime factors of -3 + 2 + -4 + 33? 2, 7 Let y = -148 + 290. What are the prime factors of y? 2, 71 Let o be -3*(-2 - -3)*-1. Suppose -2*r = -o*u - 29, -u + 5 = -r + 22. Suppose -3*z = -12 - 0, -c - 5*z + r = 0. List the prime factors of c. 2 Suppose -3*y - 6 = -6*y. Suppose p - 21 = -3*u + y*p, u - 3*p + 1 = 0. List the prime factors of u. 2 Let u(y) = y. Let f be u(7). Let a(p) be the third derivative of -p**6/120 + p**5/10 + 3*p**4/8 - 7*p**3/6 - 3*p**2. List the prime factors of a(f). 7 Let a be (-3)/((-3)/(-6) - -1). Let i be (6/9)/(a/(-30)). Suppose 5*u + 0*u = i. What are the prime factors of u? 2 Let o(r) = -r**3 - 6*r**2 - 10*r - 8. What are the prime factors of o(-6)? 2, 13 Suppose -4*p - 142 = -t - 2*t, -42 = -t - 4*p. List the prime factors of t. 2, 23 Suppose 0 = 4*s - 2*h - 136, -3*s + 13 = -5*h - 82. What are the prime factors of s? 5, 7 Let j = 1 - -2. Suppose -191 = -4*l + j*u, -4*u - 3 = 1. List the prime factors of 4/(-18) - l/(-9). 5 Suppose -19 = -3*i - 2*f, -5*i + 27 = -f + 2*f. Suppose -i
{ "pile_set_name": "DM Mathematics" }
cked without replacement from {k: 2, g: 1, b: 2, s: 1}. What is prob of sequence kb? 2/15 Calculate prob of sequence liln when four letters picked without replacement from llinnll. 1/35 Calculate prob of sequence lrrl when four letters picked without replacement from arrrllr. 1/35 What is prob of sequence kvo when three letters picked without replacement from {a: 2, g: 1, v: 1, o: 2, t: 1, k: 2}? 1/126 Three letters picked without replacement from ojooormojromobororo. What is prob of sequence jjr? 4/2907 Calculate prob of sequence bwwb when four letters picked without replacement from wwbwwwwwbwbw. 2/55 What is prob of sequence kuk when three letters picked without replacement from ukuuukgkg? 1/21 Calculate prob of sequence zzzz when four letters picked without replacement from zzzzz. 1 Calculate prob of sequence vgi when three letters picked without replacement from vgeveelei. 1/252 Calculate prob of sequence ge when two letters picked without replacement from gegggggggeg. 9/55 Two letters picked without replacement from {d: 4, k: 8, b: 1}. Give prob of sequence bd. 1/39 Four letters picked without replacement from {x: 1, s: 8, i: 10}. Give prob of sequence issx. 35/5814 Calculate prob of sequence llww when four letters picked without replacement from llweweeeeeeee. 1/4290 Two letters picked without replacement from {l: 3, e: 1, h: 2, k: 1, o: 4, z: 4}. Give prob of sequence oh. 4/105 Four letters picked without replacement from {d: 8, x: 4, h: 4}. What is prob of sequence hddh? 1/65 What is prob of sequence deb when three letters picked without replacement from bbebbdddb? 5/168 Three letters picked without replacement from {g: 1, i: 1, o: 2, e: 1}. Give prob of sequence oei. 1/30 What is prob of sequence uor when three letters picked without replacement from uemroemooeez? 1/440 What is prob of sequence rnnn when four letters picked without replacement from rnnxnrrnxnrnnnrrn? 9/170 Three letters picked without replacement from {l: 3, m: 3, n: 1, f: 2, u: 4, p: 4}. Give prob of sequence mlu. 3/340 Calculate prob of sequence nkn when three letters picked without replacement from ikvkinnikvnivikini. 1/102 Calculate prob of sequence dhf when three letters picked without replacement from ffhffffdfff. 1/110 Calculate prob of sequence zz when two letters picked without replacement from {z: 4, t: 4, e: 1, f: 1}. 2/15 Three letters picked without replacement from {p: 1, h: 1, g: 9, s: 8}. Give prob of sequence sgh. 4/323 Calculate prob of sequence bnn when three letters picked without replacement from {b: 6, n: 6}. 3/22 What is prob of sequence sc when two letters picked without replacement from schhzch? 1/21 Calculate prob of sequence tk when two letters picked without replacement from ktkktkakukkktkutuk. 20/153 What is prob of sequence xr when two letters picked without replacement from {r: 2, d: 2, n: 1, t: 1, x: 1, o: 1}? 1/28 Two letters picked without replacement from kktkktkk. What is prob of sequence kk? 15/28 Calculate prob of sequence puju when four letters picked without replacement from juuuuupjpmmu. 1/99 Four letters picked without replacement from zfzsw. What is prob of sequence wzsz? 1/60 Calculate prob of sequence pu when two letters picked without replacement from cpcppccqmmmmpypuypp. 7/342 Two letters picked without replacement from ohkhtaa. Give prob of sequence th. 1/21 What is prob of sequence lkl when three letters picked without replacement from zzylllyykllfzfyl? 1/112 Four letters picked without replacement from {v: 1, a: 14, h: 1, r: 3, d: 1}. Give prob of sequence rahv. 7/19380 Four letters picked without replacement from useleslusses. Give prob of sequence euue. 1/990 What is prob of sequence yxmy when four letters picked without replacement from mymgyyggxymyx? 1/143 Three letters picked without replacement from yoyyoo. What is prob of sequence ooo? 1/20 Two letters picked without replacement from tkkkmna. Give prob of sequence ma. 1/42 What is prob of sequence yx when two letters picked without replacement from {y: 1, p: 1, x: 2, q: 2, z: 1}? 1/21 Calculate prob of sequence eeae when four letters picked without replacement from {e: 4, t: 12, a: 4}. 4/4845 Four letters picked without replacement from kckkcccc. What is prob of sequence cccc? 1/14 Calculate prob of sequence pn when two letters picked without replacement from qnqqnvnqvvnvpnnvq. 3/136 Calculate prob of sequence tlt when three letters picked without replacement from {t: 17, l: 1}. 1/18 Four letters picked without replacement from {l: 5, w: 4, n: 3}. What is prob of sequence wwwl? 1/99 Three letters picked without replacement from ppapappppppappappp. What is prob of sequence paa? 7/204 Two letters picked without replacement from zzmmzmmzzzcmzmmmcm. What is prob of sequence mm? 4/17 Three letters picked without replacement from {n: 1, i: 3}. What is prob of sequence iin? 1/4 Two letters picked without replacement from sssqsrssrqsrqrqeee. Give prob of sequence qq. 2/51 Calculate prob of sequence hrqs when four letters picked without replacement from {s: 5, q: 1, h: 2, r: 1}. 5/1512 What is prob of sequence mc when two letters picked without replacement from {m: 1, z: 5, a: 6, c: 6}? 1/51 Two letters picked without replacement from iawkwwkwwgmaa. Give prob of sequence gk. 1/78 Two letters picked without replacement from {f: 3, v: 4, z: 4, w: 3, s: 1, d: 5}. Give prob of sequence zd. 1/19 Calculate prob of sequence kkxs when four letters picked without replacement from {k: 1, e: 1, s: 1, q: 1, i: 2, x: 1}. 0 Three letters picked without replacement from {q: 5, b: 1, f: 1, n: 1, i: 1}. Give prob of sequence fib. 1/504 Two letters picked without replacement from eeeaattataaete. Give prob of sequence ta. 10/91 Calculate prob of sequence fr when two letters picked without replacement from ymkhfrfk. 1/28 What is prob of sequence lxt when three letters picked without replacement from ssshshlssxstsllttss? 1/646 What is prob of sequence nn when two letters picked without replacement from {k: 2, z: 1, m: 1, i: 2, n: 6, o: 8}? 3/38 Three letters picked without replacement from {s: 1, b: 1, g: 1, h: 1, w: 1}. What is prob of sequence swb? 1/60 Four letters picked without replacement from {j: 3, y: 1, e: 5, a: 9}. What is prob of sequence ayej? 1/544 Calculate prob of sequence wm when two letters picked without replacement from {q: 4, w: 2, m: 3, f: 1}. 1/15 What is prob of sequence yt when two letters picked without replacement from {l: 2, t: 4, y: 1, e: 2}? 1/18 What is prob of sequence so when two letters picked without replacement from ssvvvssvsio? 1/22 What is prob of sequence hhgg when four letters picked without replacement from ghhghggggg? 1/20 Four letters picked without replacement from {v: 4, y: 6}. Give prob of sequence vyyy. 2/21 Two letters picked without replacement from {m: 3, w: 9}. Give prob of sequence mm. 1/22 What is prob of sequence acac when four letters picked without replacement from cccacccccccccccacccc? 1/190 Three letters picked without replacement from bdqdbbaadbd. Give prob of sequence aad. 4/495 Calculate prob of sequence gt when two letters picked without replacement from tttigti. 2/21 Two letters picked without replacement from rrrerrrrrerr. Give prob of sequence ee. 1/66 Three letters picked without replacement from {e: 1, o: 1, c: 2, l: 1}. What is prob of sequence llo? 0 Four letters picked without replacement from sssgsgss. What is prob of sequence sgss? 1/7 Three letters picked without replacement from {e: 1, l: 6, w: 1, p: 6, g: 1}. What is prob of sequence wgg? 0 Two letters picked without replacement from lilillllll. What is prob of sequence ll? 28/45 Two letters picked without replacement from qxxxqxxqxxx. Give prob of sequence xx. 28/55 What is prob of sequence cf when two letters picked without replacement from {c: 2, u: 2, v: 1, m: 2, f: 4, o: 6}? 1/34 Three letters picked without replacement from kekekkkk. Give prob of sequence kkk. 5/14 What is prob of sequence scl when three letters picked without replacement from cqclcqqqqssq? 1/220 Calculate prob of sequence bbr when three letters picked without replacement from {s: 1, r: 3, c: 6, b: 7}. 21/680 What is prob of sequence qqu when three letters picked without replacement from {h
{ "pile_set_name": "DM Mathematics" }
digit of x? 5 Suppose -2*f - 3*f = -10. What is the tens digit of 1 + ((-4)/3)/(f/(-33))? 2 Suppose q + 2*q - 2*g = 4, 10 = 3*q - 5*g. Suppose q = h - 2*h + 9. Let d = 17 - h. What is the units digit of d? 8 Let j = 2903 - 219. What is the thousands digit of j? 2 Let b be (-8)/20 - 3324/15. What is the units digit of (-5 - 0)*b/15? 4 Let z(u) be the second derivative of -7/6*u**4 + 1/3*u**3 + 3*u + 3/2*u**2 + 0 + 1/20*u**5. What is the units digit of z(14)? 1 Let m = -125 + 72. Let n = m - -59. What is the units digit of n? 6 Let j = 6 + -4. Suppose 0*n + 220 = 5*d + 4*n, -2*n - 10 = 0. Suppose -j*q = -3*q + d. What is the tens digit of q? 4 Let f = 4851 - 2224. What is the units digit of f? 7 Let t be ((-40)/(-6))/((-4)/12). Suppose -4*w - 5 = 207. Let k = t - w. What is the units digit of k? 3 Suppose -83*o + 76*o + 6153 = 0. What is the units digit of o? 9 Suppose -3*n = s + 4*s - 5, 21 = 5*n + 2*s. Let w be (-3815)/(-45) - (-2)/9. Suppose 2*r = n + w. What is the tens digit of r? 4 Let o(c) = 56*c + 35. What is the units digit of o(5)? 5 What is the hundreds digit of (-15736)/(-21)*6 + 6? 5 Let v(d) = 20*d**2 - 23*d + 477. What is the hundreds digit of v(15)? 6 Let b be (-48)/18*54/(-8). Let o = 12 + -88. What is the units digit of (-16)/72 - o/b? 4 Let o = -3 - 6. Let w = 9 + o. Let v(b) = -b + 35. What is the units digit of v(w)? 5 Suppose 5*c + u - 457 = 0, -7*c - 5*u + 261 = -4*c. What is the units digit of c? 2 What is the units digit of (-15)/20 + (-6822)/(-8) + -5? 7 Let n(x) = -39*x + 32. What is the hundreds digit of n(-2)? 1 Suppose -6945 = -3*a + 792. What is the tens digit of a? 7 Let s(z) = -z**3 + 7*z**2 - z + 7. Let m = -27 - -33. What is the tens digit of s(m)? 3 Let t(f) = -2*f**3 - 5*f**2 - 3*f. Let w(r) = -3*r**3 - 9*r**2 - 6*r. Let h(d) = 5*t(d) - 3*w(d). Suppose 0 = -0*o - 3*o - 6. What is the units digit of h(o)? 0 Suppose -m = r, 3*r - 2 = 3*m - 14. Suppose -23 + 135 = m*i. What is the tens digit of i? 5 Suppose -5*w = 5*g - 1440, w - 114 = -2*g + 459. Suppose i = 4*i - g. What is the tens digit of i? 9 Suppose m - 3 = -a, 5*a - 11 = 4. Suppose m = -3*c + 3, -3*c + 695 = 5*p + 2*c. What is the tens digit of p? 3 Let b be -5*9/(-6)*144/(-20). Let j = b - -141. What is the tens digit of j? 8 Suppose 7*d + 2728 = 15*d. What is the units digit of d? 1 Let f(w) = w**3 + 14*w**2 + 12*w + 8. Let l = 19 - 10. Suppose 2*p + 17 = -l. What is the units digit of f(p)? 1 What is the tens digit of (2 - (19 - -1))*(-80)/6? 4 Let g = 364 - 187. What is the tens digit of g? 7 Suppose -2 = 3*n + 4. Let b = n + 6. Suppose 169 - 69 = b*x. What is the units digit of x? 5 Let d(t) = -16*t - 14. Let m(q) = -q + 2. Let f(y) = -d(y) + 4*m(y). What is the units digit of f(3)? 8 Suppose 11*g = 6484 + 35613. What is the tens digit of g? 2 Suppose -4*o + 0*o = 0. Let v(q) = q**2 - 5*q + 5. Let x be v(5). Suppose o = n - x - 3. What is the units digit of n? 8 Suppose 0*v + 5*t - 3 = -3*v, 3*v - t = 3. Let z(g) = g**2 + 3*g + 2. Let m be z(3). Let c = m + v. What is the units digit of c? 1 Suppose -d = -0*d - 3. Let f(i) = 5*i**3 - 4*i**2 + 6*i - 4. Let s(k) = -k**3 - k. Let m(w) = -f(w) - 4*s(w). What is the units digit of m(d)? 7 Let q = 922 - 580. What is the hundreds digit of q? 3 Let s(l) = -7*l**3 - 2*l**2 + 2*l + 2. Suppose -4*z - 3 - 5 = 0. What is the units digit of s(z)? 6 Suppose -77*w + 137123 = -476. What is the hundreds digit of w? 7 Suppose -3*d - 4*d = 679. Let f = d + 179. What is the units digit of f? 2 Let o(a) be the first derivative of 2 + 7/2*a**2 - 1/3*a**3 + 8*a. What is the units digit of o(6)? 4 Let y(d) = -d**3 - 17*d**2 + 18*d + 18. Let b be y(-18). Let a = b - 13. What is the units digit of a? 5 Let v(n) = -n + 2 - 3 - 4*n + 5 + 8*n**2. What is the units digit of v(-4)? 2 Let q be (0 + 2)*(-130)/(-20). Let g = 15 - q. Suppose g*k - 78 = -18. What is the tens digit of k? 3 What is the hundreds digit of (-1 + 182)/(((-56)/32)/(-7))? 7 Suppose -5*w = h + 4*h - 1875, 0 = -w - 4*h + 363. Suppose -9 = 5*i - w. What is the tens digit of i? 7 Suppose 5*o - 2032 = -2*n, 13*o - 17*o + 4*n + 1648 = 0. What is the tens digit of o? 0 What is the hundreds digit of 640 - (-5)/(1 - -4)? 6 Suppose 4492 = 6*i - 5120. What is the hundreds digit of i? 6 Let c = -58 - -25. Suppose 319 = 7*n - 143. Let i = n + c. What is the tens digit of i? 3 Let v(q) = -7*q + 5*q - q - 4 + 6*q**2 + 3. Let j be v(-2). Suppose -r = 2*f - 31, -3*r - f = -2*r - j. What is the units digit of r? 7 Suppose m - 237 = 426. What is the hundreds digit of m? 6 Let y = -503 - -744. What is the tens digit of y? 4 Suppose 38*b - 20086 = 16*b. What is the hundreds digit of b? 9 Let m = 29 - 34. Suppose q - 6*q = -60. What is the tens digit of ((-12)/m)/(q/80)? 1 Let t be 10/15 + (-26)/(-6). Suppose -2*x = t*j - 4, -3*x = -3*j - j - 6. What is the units digit of 17 - 1*(-6)/x? 0 Let t(n) = n**3 - n**2 + n + 7. Let l be t(0). Suppose l*h + 194 = 8*h. What is the hundreds digit of h? 1 Suppose 21*n = 16*n + 5235. What is the thousands digit of n? 1 Let p = -1318 - -2344. What is the hundreds digit of p? 0 Suppose r - 11 + 12 = 0, x - 5*r - 4447 = 0. What is the hundreds digit of x? 4 What is the hundreds digit of (45 + -41)*(-6)/8*-307? 9 Suppose -j = 3*n - 1337, -42*j + 4*n - 3996 = -45*j. What is the thousands digit of j? 1 Suppose -1599 = -q - 3*h, 2*q - 22*h = -21*h + 3198. What is the tens digit of q? 9 What is the tens digit of 6*(-100)/75*89/(-2)? 5 Let f = -11 + 14. Suppose -f*n + 1 = -5. Suppose 2*b - 132 = -n*b. What is the units digit of b? 3 Suppose -3*u = 9, 4*f + 327 = -5*u - 0*u. Let p = -30 - f. What is the tens digit of p? 4 What is the hundreds digit of (-8)/(-6) + 25942/42? 6 Let i(j) = j**3 - 6*j**2 - 6*j - 2. Let s = -28 + 35. Let c be i(s). Suppose c*y + 4*d = 9*d + 400, 5*d - 410 = -5*y. What is the units digit of y? 1 Suppose -2740 = -52*u + 48*u. What is the units digit of u? 5 Suppose 2*u + 3994 = 3*j, -36*j = -33*j + 2*u - 3974. What is the hundreds digit of j? 3 Suppose -4*b = -0*b - 8. Let h(t) = 7*t**2 - b*t + 0*t - 4*t**2. What is the units digit of h(2)? 8 Suppose 3*k + 199 - 46 = 0. Suppose 5*m - 2*i + 406 = 0, 6*m + 2*i + 394 = m. Let j = k - m. What is the units digit of j? 9 Suppose 0 = -4*m - t + 2048, -22*t = 3*m - 26*t - 1555. What is the hundreds digit of m? 5 Let z(g) = g**3 - 4*g**2 - 12*g + 13. Let l be z(7). Let b = l - 51. What is the tens digit of b? 2 Let a(u) = u**3 + u**2 + 2*u + 260. What is the hundreds digit of a(0)? 2 Suppose 3*r = -5*l + 3290, 3265 = 5*l - 11*r + 9*r. What is the hundreds digit of l? 6 Suppose 3530 - 356 = 6*t. Suppose -6*x - 175 = -t. What is the units digit of x? 9 Suppose 62*t - 24025 = 37*t. What is the hundreds digit of t? 9 What is the hundreds digit of 6/9 - (-28090)/30? 9 Let l be 26*(-4)/8 - -2. Let s = 11 + l. Suppose -64 = -2*f - s*f. What is the tens digit of f? 3 Suppose 0 = 2*h - 5*r + 4*r - 6, 2*h = 4*r. Let b be h + (5*-2 - -3). Let w(f) = -3*f**3 - f**2 + f + 2. What is the units digit of w(b)? 1 Let x = 9566 + -3464. What is the thousands digit of x? 6 Suppose o = -6*o + 378. What is the tens digit of o? 5 Let c be (8/24 + -1)/((-1)/(-3)). Let b = c - -32. What is the units digit of b? 0 What is the units digit of ((-15)/(-10))/(5*1/860)? 8 Let y = 13423 - 9496. What is the units digit of y? 7 Suppose j = 2*k - 4*j + 47, -5*j + 36 = -k. Let o be 80/(-16)*(1 + k). Suppose 2*d + o = 4*d. What is the tens digit of d? 2 Let i = 8 - 7. Let r(b) = -129*b + 1. Let a be r(i). What is the tens digit of (a/(-6))/(6/9)? 3 Let x(q) = -29 - 7*q**2 + q**3 - 2*q**3 + 10*q + 2*q + 0. What is the hundreds digit of x(-10)? 1 Suppose 3*x = s + 10, -20 = -4*x - s - s. Suppose x*t - 27 = -i, -34 = -2*i - 4*t + 24. What is the tens digit of i? 3 Let o(f) = -f + 13. Let v be o(11). Let g be v + (3 - 0) + -2. Suppose 8*h - g*h = 90. What is the units digit of h? 8 Let z(t) = 2*t**2 - 2*t - 111. Let v be z(0). Let s = -48 - v. What is the tens digit of s? 6 Let g(l) = l**3 + 16*l**2 + 9*l + 7. What is the units digit of g(-8)? 7 Let i(f) = -2*f - 2 + 4 - 3*f + 6. Let k be i(9). Let q = k + 102. What is the units digit of q? 5 Suppose m + 4 - 8 = 0. Suppose -t + 283 = 4*g - 58, -m*g + 4*t + 316 = 0. Suppose
{ "pile_set_name": "DM Mathematics" }
nd -471 equal? False Do 0 and -644 have different values? True Is -11952 greater than -11953? True Which is greater: -53/2 or -2/3? -2/3 Are -720/7 and -19 nonequal? True Which is smaller: -401 or -404? -404 Is -2783 at least -2784? True Which is smaller: -52 or -50? -52 Which is greater: -124/125 or 0? 0 Which is smaller: 2 or -2/5? -2/5 Which is bigger: -2/417 or 1? 1 Is 390/17 equal to 24? False Are -4848 and -4851 equal? False Is 1 greater than -1/920? True Which is bigger: 0 or 1/1063? 1/1063 Are -100/27 and -5 non-equal? True Which is greater: -370/387 or -1? -370/387 Which is smaller: -1496 or 3? -1496 Is 569 at least as big as 570? False Is 3203 < 3201? False Is -1 equal to 2/8461? False Is 65 less than 64? False Which is greater: -88/241 or 1? 1 Which is smaller: 367 or 2/175? 2/175 Is -1 bigger than 1/23115? False Do 160/13 and 13 have different values? True Which is greater: 19 or 56/3? 19 Is 0.1 at most 395? True Which is bigger: 10064/5 or -0.1? 10064/5 Which is greater: 127 or 125? 127 Which is greater: -544 or -545? -544 Is 0 at most 79? True Is 1 greater than or equal to 41/36? False Does 0 = -32/57? False Which is smaller: 393 or 390? 390 Is 0 at least -38/97? True Is -1627 <= -1625? True Which is smaller: -1600 or -1603? -1603 Is -1272 equal to 3? False Is -88 smaller than -84? True Is -7 > 33? False Is 0 less than or equal to 3/137? True Is -70 <= -64? True Which is greater: 2590 or 2591? 2591 Which is smaller: -3 or -96/53? -3 Is 2/51 not equal to -1? True Is -2/3699 less than -1? False Which is smaller: 85 or 169/2? 169/2 Which is smaller: -93 or 0? -93 Which is bigger: 398 or 5? 398 Is 940 <= 941? True Is -138 smaller than -139? False Which is smaller: -84/157 or -1? -1 Which is bigger: -4/169 or 0? 0 Is 33 less than 31? False Is 56 less than 57? True Is 6/313 at least -7? True Does 146 = 147? False Is -32 smaller than -31? True Is 0.3 at most -28.9? False Which is greater: -83 or -82? -82 Which is smaller: -0.2 or -1/224? -0.2 Is -0.2 smaller than 12.35? True Which is smaller: 219 or 214? 214 Is -930 greater than or equal to -933? True Is -4 <= -582/167? True Which is smaller: 2/1169 or 1? 2/1169 Is -61/10 greater than or equal to -7? True Which is smaller: 343 or 1? 1 Which is smaller: -206 or -207? -207 Which is bigger: 167/7 or 25? 25 Is 1517 <= 4549/3? False Is -481 smaller than -483? False Is 0.1 > 0.3819? False Is 257 bigger than 195? True Which is smaller: 1163/7 or 165? 165 Is -1 less than or equal to -7365? False Which is bigger: 110 or 1884/17? 1884/17 Is -163/4 less than or equal to -40? True Which is bigger: -7 or -35? -7 Do 1 and -8/105 have different values? True Is -238 smaller than -245? False Is -18228 less than or equal to -18227? True Is 43 less than 40? False Which is greater: 38 or 1286/35? 38 Is 0 bigger than 21/41? False Is 5/11 greater than -12? True Which is greater: -34 or 33? 33 Are -1 and -1/21591 unequal? True Is 87 not equal to -1.4? True Are -604 and -602 non-equal? True Which is bigger: 2/11 or -3? 2/11 Which is greater: 0 or -17/24? 0 Which is greater: -171/17 or -1/4? -1/4 Is 75 bigger than 72? True Do 6 and 51 have the same value? False Which is bigger: -15 or -4? -4 Which is smaller: 8/5 or 2/5? 2/5 Does 1/136 = 1? False Which is smaller: -36 or -26? -36 Which is smaller: -2 or 7409? -2 Which is bigger: 137 or 143? 143 Which is greater: 1 or 1/2? 1 Which is bigger: 1545 or 1546? 1546 Is 1/4 smaller than -231? False Is -45 > 1? False Is -1 not equal to -13/278? True Which is smaller: 396 or 0.1? 0.1 Which is greater: 0.3 or 27? 27 Is -489 > -488? False Are 0.1841 and 6 nonequal? True Is 1 equal to -0.0593? False Is 10/193 < 1? True Which is greater: 0.94 or 0? 0.94 Do 0 and 102 have the same value? False Which is smaller: -132 or -133? -133 Is -1417 < -1415? True Are 342/131 and 3 unequal? True Which is smaller: 1 or 2/1497? 2/1497 Which is greater: 0 or -1/2796? 0 Which is bigger: -0.042 or 3/5? 3/5 Is 0 greater than -408? True Which is greater: 1 or 1110? 1110 Which is greater: -15.37 or -2? -2 Which is greater: 5 or 697? 697 Is -0.1 at least as big as -3418? True Which is smaller: 1 or 1/1315? 1/1315 Which is greater: 1 or 18/209? 1 Which is greater: 2 or 8/35? 2 Which is bigger: 0 or 1/1598? 1/1598 Is 536 greater than 539? False Do -7 and -382/49 have the same value? False Which is smaller: -3/15865 or 0? -3/15865 Which is smaller: 1 or -2/155? -2/155 Do -2544/5 and -508 have the same value? False Which is greater: 17 or 181/11? 17 Is -95 < -94? True Which is greater: 93 or 62? 93 Does -355 = -358? False Which is smaller: -99/256 or 0? -99/256 Which is smaller: -80/11 or -8? -8 Is 8 != 16? True Which is greater: 0 or 20/1543? 20/1543 Is -0.05841 bigger than 2? False Which is smaller: 0.00816 or -1? -1 Is -16 greater than -7.6? False Which is smaller: -3 or -39/10? -39/10 Is -257 > -4906/19? True Which is bigger: 176/9 or 19? 176/9 Which is bigger: -558 or -559? -558 Which is smaller: 2/1435 or 0? 0 Which is smaller: 246/11 or 2/5? 2/5 Which is bigger: -0.1 or 1/184? 1/184 Which is bigger: -7 or -42/5? -7 Which is bigger: 4 or -14/31? 4 Which is greater: -286/151 or -1? -1 Which is bigger: -157 or 0? 0 Which is smaller: 33722/5 or 6743? 6743 Does -83 = -409/5? False Is -165/194 at most as big as -2? False Is -3 at most -5? False Which is smaller: 1/558 or -1? -1 Are 1/80 and 1 unequal? True Is 19 less than 38? True Which is smaller: 1.63 or -1? -1 Which is greater: 3/602 or -1? 3/602 Is -2/1673 greater than or equal to 0? False Is 1 smaller than -8/45? False Which is bigger: 1 or -2/15207? 1 Is 62 equal to 820/13? False Is -14316 less than -14316? False Is -483/44 smaller than -12? False Is 1 less than -3/1054? False Is 4158 bigger than 4159? False Do 2751 and 2751 have the same value? True Is 30/13 less than -1/12? False Which is smaller: -224/29 or -7? -224/29 Which is smaller: 1418 or 4253/3? 4253/3 Is -2/931 at most as big as -3? False Is 5782 at least 5782? True Is 28 < 188/7? False Which is greater: -2/11929 or -1? -2/11929 Which is bigger: 4366 or -1? 4366 Which is bigger: 93 or 5? 93 Is -852 at most as big as -849? True Which is bigger: 0.1 or 0.3962? 0.3962 Which is smaller: -1 or -125/469? -1 Is -306.92 less than -1? True Which is bigger: -1 or 3/269? 3/269 Is 5/2 < 0.0164? False Which is smaller: 0 or 12/79? 0 Is 1 less than -8956? False Which is bigger: 1 or 15/28? 1 Which is smaller: -2/33161 or 0? -2/33161 Which is smaller: 2 or -15/139? -15/139 Are 69 and 67 unequal? True Are 14/653 and 1 unequal? True Which is greater: 5053 or 5054? 5054 Is 2 < 35? True Are 5 and 23/4 equal? False Which is greater: 174 or 8? 174 Which is greater: 230 or 232? 232 Is 1 at most 1/1032? False Which is smaller: 2143 or 2141? 2141 Is -106 > -0.2? False Which is bigger: -3950 or -3948? -3948 Is -5205 less than or equal to -5204? True Which is smaller: -16 or -13? -16 Are -10 and -446/45 non-equal? True Is -22/263 greater than or equal to 0? False Which is smaller: 0 or 65/44? 0 Does -3 = -847.3? False Which is greater: -16 or -14? -14 Which is smaller: -14 or 2/39? -14 Which is smaller: 35 or 14? 14 Is -15/43 >= 0? False Is 371/5 < 74? False Which is smaller: 0 or 4/6279? 0 Is -1 smaller than -64? False Which is smaller: 36 or -2/5? -2/5 Is -25 at most as big as -444/17? False Which is bigger: -19 or -5? -5 Which is smaller: -27/47 or -1? -1 Is 0 greater than 1/211? False Which is greater: -1 or -27/217? -27/217 Is -17 smaller than 3? True Which is bigger: -2 or -17.3? -2 Is 1/1307 >= 0? True Is -2 less than -113/73? True Is 3 greater than 38/13? True Which is smaller: 931 or 935? 931 Which is bigger: 2 or 667? 667 Which is greater: 11 or 100/9? 100/9 Is 0 at least as big as -2/16423? True Which is greater: 0 or 4/243? 4/243 Is -162 greater than -161? False Which is greater: -1/4 or -1/278? -1/278 Is 3.9 less than or equal to -69? False Is -1 bigger than -142/309? False Is -1 less than -56529? False Does 886 = 886? True Which is smaller: 1.7 or 36? 1.7 Which is bigger: 5/221 or -1? 5/221 Is 10 < -1128? False Which is bigger: -1431 or -1427? -1427 Which is bigger: 122 or 1937/16? 122 Is 190 less than or equal to 197? True Is -0.032 greater than -9? True Is 328/13 not equal to 26? True Wh
{ "pile_set_name": "DM Mathematics" }
-28, -2, 1, 3, 5 Factor 22*b**3 + 1952*b**2 - 3992*b. 2*b*(b - 2)*(11*b + 998) Factor -3*q**2 + 303*q + 401940. -3*(q - 420)*(q + 319) Factor c**2/2 - 3109*c + 68277/2. (c - 6207)*(c - 11)/2 Find i such that -i**3/4 - 449*i**2/4 - 667*i/2 + 446 = 0. -446, -4, 1 Solve 3*n**2 + 13338*n + 13335 = 0 for n. -4445, -1 Factor 4*y**2/5 + 3028*y/5 - 3032/5. 4*(y - 1)*(y + 758)/5 Factor z**5/4 - 47*z**4/2 + 1617*z**3/2 - 11575*z**2 + 173125*z/4 + 515625/2. (z - 25)**3*(z - 22)*(z + 3)/4 Factor 4*j**5 + 140*j**4 + 1292*j**3 + 1156*j**2. 4*j**2*(j + 1)*(j + 17)**2 Let -3*h**3 - 3087*h**2 - 1045152*h - 116721408 = 0. Calculate h. -421, -304 Factor 13*h**2/4 + 5*h - 3. (h + 2)*(13*h - 6)/4 Suppose 4*u**4 + 184*u**3 + 2496*u**2 + 9216*u = 0. Calculate u. -24, -16, -6, 0 Find t, given that -2*t**2 - 10904*t + 528000 = 0. -5500, 48 Factor 5*b**2 + 50995*b + 101970. 5*(b + 2)*(b + 10197) Find a such that -4*a**2/7 + 2384*a - 33360/7 = 0. 2, 4170 Factor 19860245*x**3 - 139001785*x**2 - 139505*x - 35. 5*(x - 7)*(1993*x + 1)**2 Let -4*k**4/7 - 7720*k**3/7 + 502492*k**2/7 + 510208*k/7 = 0. What is k? -1993, -1, 0, 64 Factor 4*j**2 - 1719672*j. 4*j*(j - 429918) Let -8*l**4/7 + 2860*l**3/7 - 215696*l**2/7 - 108564*l/7 = 0. Calculate l. -1/2, 0, 109, 249 Determine w so that -2*w**2 - 3460*w = 0. -1730, 0 Factor 3*t**4 - 95334*t**3 + 757762155*t**2 - 6055997400*t. 3*t*(t - 15885)**2*(t - 8) Determine h so that -h**3/4 - 373*h**2/4 - 3266*h - 3173 = 0. -334, -38, -1 Factor 3*n**3 + 2868*n**2 - 943833*n - 1057626330. 3*(n - 590)*(n + 773)**2 Factor 3*s**2 + 2097*s + 257580. 3*(s + 159)*(s + 540) Determine m so that 3*m**2/5 + 55062*m/5 + 252651987/5 = 0. -9177 Let o**2 - 15092*o + 75435 = 0. What is o? 5, 15087 Factor 8*q**3/13 - 264*q**2/13 + 738*q/13 + 26896/13. 2*(q + 8)*(2*q - 41)**2/13 Let -2*g**2/7 - 3840*g/7 + 11538/7 = 0. What is g? -1923, 3 Factor 5*y**3 - 2095*y**2 + 150495*y + 15446475. 5*(y - 237)**2*(y + 55) Suppose n**4 - 103*n**3 + 2307*n**2 + 4927*n + 2516 = 0. What is n? -1, 37, 68 Factor 2*p**3/3 + 5328*p**2 + 31954*p/3 - 15980. 2*(p - 1)*(p + 3)*(p + 7990)/3 Suppose v**2/3 - 1010*v/3 - 337 = 0. What is v? -1, 1011 Find t, given that 3*t**5/7 - 1740*t**4/7 + 8634*t**3/7 - 5160*t**2/7 - 8637*t/7 + 6900/7 = 0. -1, 1, 4, 575 Factor -2*t**3/19 + 31912*t**2/19 - 63816*t/19. -2*t*(t - 15954)*(t - 2)/19 Solve -32*f**3 + 1584*f**2 - 26130*f + 143650 = 0. 65/4, 17 What is y in 18*y**5/5 + 1274*y**4/5 + 22378*y**3/5 - 6314*y**2/5 - 22396*y/5 + 1008 = 0? -36, -35, -1, 2/9, 1 Factor -5*r**3 - 1210*r**2 + 12600*r. -5*r*(r - 10)*(r + 252) Factor z**2/5 + 407*z/5 - 12648. (z - 120)*(z + 527)/5 Determine w so that -2*w**2 - 46*w + 2856 = 0. -51, 28 Solve -2*k**3/13 - 1056*k**2/13 - 5634*k + 19201924/13 = 0. -313, 98 Find n, given that -3*n**5/7 + 12*n**4 + 291*n**3 + 3426*n**2/7 - 792*n = 0. -14, -3, 0, 1, 44 Solve 4*j**3 - 120*j**2 + 428*j - 312 = 0. 1, 3, 26 Let 2*k**4 + 414*k**3 + 388*k**2 - 4944*k = 0. Calculate k. -206, -4, 0, 3 Suppose -2*n**4 - 8*n**3/9 + 2*n**2 + 8*n/9 = 0. Calculate n. -1, -4/9, 0, 1 Factor -3*d**5 - 1914*d**4 + 1917*d**3. -3*d**3*(d - 1)*(d + 639) Let c**4/4 - 319*c**3/2 - 2569*c**2/4 + 319*c/2 + 642 = 0. What is c? -4, -1, 1, 642 Factor m**3 - 61*m + 180. (m - 5)*(m - 4)*(m + 9) Factor -2*w**3/15 - 64*w**2/5 - 922*w/15 - 364/5. -2*(w + 2)*(w + 3)*(w + 91)/15 Find j, given that j**3 + 20685*j**2/2 + 25851*j + 10340 = 0. -10340, -2, -1/2 Factor -5*b**2 + 9630*b + 19280. -5*(b - 1928)*(b + 2) Factor 3*g**2 + 375666*g + 11760411963. 3*(g + 62611)**2 Let -3*f**2 + 537*f - 15444 = 0. What is f? 36, 143 What is k in 2*k**2/3 + 87208*k + 2851963224 = 0? -65406 Factor 3*t**4/5 + 3768*t**3 + 29691624*t**2/5 + 70853472*t + 1060771248/5. 3*(t + 6)**2*(t + 3134)**2/5 Determine u so that u**3/4 + 134*u**2 - 543*u/4 - 1611/2 = 0. -537, -2, 3 Factor 4*a**4 - 116*a**3 + 312*a**2 + 8208*a + 7776. 4*(a - 18)**2*(a + 1)*(a + 6) Find q, given that -2*q**2 + 18314*q + 18316 = 0. -1, 9158 Determine j so that 2*j**3 + 40554*j**2 + 205314510*j - 2675946650 = 0. -10145, 13 Let -j**4 + 16187*j**3/3 + 70184*j**2/3 + 86396*j/3 + 7200 = 0. Calculate j. -2, -1/3, 5400 What is u in -33*u**4/5 - 276*u**3/5 + 1473*u**2/5 + 276*u/5 - 288 = 0? -12, -1, 1, 40/11 Suppose 7*g**3/5 - 263*g**2/5 + 477*g + 1071/5 = 0. What is g? -3/7, 17, 21 Find z such that 5*z**2/3 + 70910*z/3 + 251411405/3 = 0. -7091 Factor -3*u**2 - 166185*u - 166182. -3*(u + 1)*(u + 55394) Suppose 2*o**2/3 - 370*o/3 + 368/3 = 0. What is o? 1, 184 Let 3*v**2 - 58092*v = 0. What is v? 0, 19364 Determine b, given that -5*b**2/4 + 5*b + 7215 = 0. -74, 78 Let -584896107*n**2/5 - 2262006*n/5 - 2187/5 = 0. What is n? -27/13963 Factor 2*m**3 - 132*m**2 + 1728*m. 2*m*(m - 48)*(m - 18) Factor -10*r**3 - 25*r**2 + 205*r + 220. -5*(r - 4)*(r + 1)*(2*r + 11) Determine f, given that 5*f**2/2 - 7051*f/2 - 2822 = 0. -4/5, 1411 Factor 399*q**3 - 801*q**2 + 6*q. 3*q*(q - 2)*(133*q - 1) Factor 6*t**3 - 15058*t**2 + 9399776*t + 60137432. 2*(t - 1258)**2*(3*t + 19) Determine f, given that f**4/9 + 89*f**3/9 + 88*f**2/9 = 0. -88, -1, 0 Find n such that 25*n**3/2 - 556145*n**2/2 + 222452*n - 44490 = 0. 2/5, 22245 Find h, given that 4*h**3 - 704*h**2 + 10172*h + 10880 = 0. -1, 17, 160 Factor -5*x**5 - 909705*x**4. -5*x**4*(x + 181941) Factor u**3/7 - 186*u**2/7 - 3489*u/7 + 1102. (u - 203)*(u - 2)*(u + 19)/7 Factor n**4/2 + 26*n**3 + 149*n**2/2 + 49*n. n*(n + 1)*(n + 2)*(n + 49)/2 Determine j, given that j**4 + 7491*j**3 + 13889196*j**2 - 523933744*j + 510037056 = 0. -3764, 1, 36 Solve -s**4/6 - 103*s**3/3 + 6655*s**2/6 - 19184*s/3 - 30080 = 0. -235, -3, 16 Solve -m**3/5 + 449*m**2/5 + 636*m + 5472/5 = 0. -4, -3, 456 Determine p so that 3*p**3 - 13890*p**2 - 13899*p + 27786 = 0. -2, 1, 4631 Factor -4210*q**2/3 - 16843*q/3 - 4. -(q + 4)*(4210*q + 3)/3 What is h in 2*h**2/3 + 1952*h/3 - 31744/3 = 0? -992, 16 Find j, given that j**5/6 + 14*j**4/3 - 215*j**3/6 - 2101*j**2/3 - 6706*j/3 - 6076/3 = 0. -31, -7, -2, 14 Solve 48*l**4/7 + 7816*l**3/7 - 30828*l**2 + 209910*l/7 - 51986/7 = 0 for l. -187, 1/2, 139/6 Solve 5*l**3 + 7473*l**2 + 2794527*l + 1674027 = 0 for l. -747, -3/5 Let 2*y**4 - 5494*y**3 - 16500*y**2 - 8*y + 22000 = 0. Calculate y. -2, 1, 2750 What is v in -3*v**3 - 2316*v**2 - 75375*v - 73062 = 0? -738, -33, -1 Let -2*b**4 - 92*b**3 - 528*b**2 + 15228*b + 48114 = 0. What is b? -27, -3, 11 Find c such that -2*c**2/9 + 1880*c/9 - 11666/3 = 0. 19, 921 Factor 5*d**3 - 1458425*d**2 - 5*d + 1458425. 5*(d - 291685)*(d - 1)*(d + 1) Factor 8*m**2 - 1306910*m - 326728. 2*(m - 163364)*(4*m + 1) Let -2*f**4/13 - 1124*f**3/13 - 18530*f**2/13 = 0. Calculate f. -545, -17, 0 Suppose -3*q**2/4 - 1785*q/2 - 10683/4 = 0. What is q? -1187, -3 Determine u, given that 4*u**2 + 1684*u - 1246008 = 0. -807, 386 Solve 3*c**3 - 41595*c**2 + 144241041*c - 432348849 = 0. 3, 6931 Factor 3*t**3/7 + 146*t**2/7 - 23917*t/7 + 7956/7. (t - 68)*(t + 117)*(3*t - 1)/7 Factor 9*k**2/8 - 21441*k/8 - 7149/4. 3*(k - 2383)*(3*k + 2)/8 Factor 2*u**2/7 + 565424*u/7 + 39963037472/7. 2*(u + 141356)**2/7 Factor -4*k**3 - 764*k**2 - 13680*k. -4*k*(k + 20)*(k + 171) Find f, given that -4*f**4 + 168*f**3 - 320*f**2 = 0. 0, 2, 40 Solve -4*r**5 - 36115*r**4 - 63187*r**3 + 18054*r**2 = 0 for r. -9027, -2, 0, 1/4 Factor 3*m**3 - 435*m**2 - 54051*m - 1281357. 3*(m - 231)*(m + 43)**2 Factor 2*x**4 - 802880*x**3 + 80581853936*x**2 - 966895537920*x + 2900599905312. 2*(x - 200714)**2*(x - 6)**2 Factor 8*r**2/17 + 26030*r/17 - 6508/17. 2*(r + 3254)*(4*r - 1)/17 Factor p**3/3 - 8*p**2 - 739*p/3 - 238. (p - 42)*(p + 1)*(p + 17)/3 Factor k**2 - 101174*k - 202352. (k - 101176)*(k + 2) Determine t so that 2*t**3/17 - 466*t**2/17 + 496*t + 18744/17 = 0. -2, 22, 213 Factor -3*x**3 - 4863*x**2 - 9717*x - 4857. -3*(x + 1)**2*(x + 1619) Factor -10101*w**2 + 30339*w - 108. -3*(w - 3)*(3367*w - 12) Solve 3818*q**5 - 20377*q**4/3 + 5936*q**3/3 + 3434*q**2/3 - 146*q - 3 = 0. -1/3, -3/166, 3/23, 1 Factor r**3/3 - 119*r**2 - 12904*r/3 + 4420. (r - 390)*(r - 1)*(r + 34)/3 Factor -a**2/4 - 98768*a - 9755117824. -(a + 197536)**2/4 Factor -4*z**4 + 396*z**3 - 780*z**2 + 388*z. -4*z*(z - 97)*(z - 1)**2 What is q in -2*q**4/9 - 152*q**3/9 - 2282*q**2/9 + 1676*q/3 - 288 = 0? -54, -24, 1 Solve -b**3/2 - 22
{ "pile_set_name": "DM Mathematics" }
b Let v = -0.77 + -2.31. Let g = -3.1 - v. What is the closest to -1/4 in 4, g, 2? g Let q = -81 - -79. Let p(j) = -j**3 - 10*j**2 - 10*j - 8. Let i be p(-9). Which is the nearest to -1? (a) q (b) 2/3 (c) i a Let o = 0.9 + 0.1. Let j = 0 - -2. Let g = 453 + -448. Which is the nearest to j? (a) o (b) g (c) -2/5 a Let c be (-4)/6 - 22/(-24). Let q = -376.2 - -376.5. What is the closest to c in -5, 0, q? q Let f = 3.25 + 1.4. Let m = 0.35 + f. Which is the nearest to 0.1? (a) m (b) -5 (c) 0.03 c Let a = 90 + -92. Suppose 3*g = -z - 2, -5*z - 3*g - 23 = -g. What is the closest to a in 0.5, -2/7, z? -2/7 Let t(z) = 2*z**2 - 21*z + 49. Let q be t(3). What is the closest to 2 in q, -5/3, 0.7, 5? 0.7 Let i = -77/6 - -25/2. Suppose -612 = -4*h - 4*o + 112, -o = -h + 171. Let x be 3*(0 - 1) - h/(-48). Which is the closest to i? (a) 0.5 (b) -0.2 (c) x b Let f = -0.1 - -0.6. Let c = 9/88 - -7153/616. Let b = 12 - c. What is the nearest to 0.1 in 2, b, f? b Let x = -380 - -380.5. Which is the nearest to 0.1? (a) 1 (b) x (c) 1/3 c Let s = -1174/5 + 234. Let d = -0.6 + 0.9. Let q = d - 0.1. Which is the nearest to q? (a) -1 (b) s (c) 1 c Let r = -77 + 54. Let b = 34 + r. What is the nearest to 1/2 in b, 3/8, 1/2? 1/2 Let t be 0 - 6/(-8 - -2). Which is the nearest to t? (a) 3/98 (b) 4 (c) 5 a Suppose s - 5*g = 5, -2*s + 0*s - 8 = -g. Let l = -4.51 + 4.51. Which is the closest to 2? (a) s (b) l (c) -0.5 b Let s = -0.0541 + -0.1459. Let b = -6 - -4. What is the closest to b in 0.5, s, 0.1? s Let d = -10.94 - -11.34. Which is the nearest to d? (a) 0.8 (b) -4 (c) 0.1 c Suppose -5*l = 25, -124 = -5*h - 5*l - 154. Which is the closest to -0.15? (a) -0.02 (b) 3/4 (c) h a Let i = -2 + 3. Suppose -15*s - 8 = -11*s. What is the closest to -1 in -1/2, i, s? -1/2 Let v = -4708/58225 - -2/2329. What is the nearest to -6 in 0.2, -0.1, -2/7, v? -2/7 Let r = 137 + -129. Suppose -5*v + 12 = -r*v. Let j = 0.8 + 0.2. What is the nearest to j in v, 2/5, 0? 2/5 Let y be -5*8/(32/4). Which is the closest to 1? (a) y (b) 7/3 (c) 5 (d) -4/5 b Let w = -0.035 - -2.335. Let o = -2 + w. Which is the nearest to 1/5? (a) -3 (b) o (c) 4/5 b Suppose -2*n = -3*n - 4*x - 13, 0 = 3*n + 4*x - 1. Let m = n + -4. Let b = -20.23 - -21.23. What is the closest to b in -5, -4, m? m Let g = -20.69 + -0.31. Let a = g + 16. What is the closest to 2/3 in -3, a, 5? -3 Suppose 2*o + 3*o = 15. Suppose o*z = -3*z + 6. What is the nearest to -1/2 in z, -4/3, -2/13? -2/13 Let w be 1*4 - (13 - 442/51). What is the closest to -0.04 in w, 5, 1/2? w Let z = -3.3 - -38.3. Let d = z - 34.6. What is the closest to -1 in 4/7, d, -2? -2 Let x = -50 - -45. Which is the closest to 1? (a) 1 (b) 5 (c) x a Let h = -2 + 2. Let m be (-4)/12*(3 - 33). Let s be 46/m - 8/2. What is the nearest to h in s, 2/17, 1? 2/17 Let q = 225 + -225.1. Which is the closest to -2? (a) 1.2 (b) q (c) 1/3 b Let r = 90 - 628/7. Let q = -0.7163 - -0.9163. What is the closest to -0.3 in -3, q, r? q Let t = -0.92015 + -0.07985. Let o = 5 + -7. Which is the closest to o? (a) 0.4 (b) -0.1 (c) t c Let v = -81 + 80.94. What is the nearest to v in 5, -2/17, -3? -2/17 Let d = 1910 - 1907. What is the nearest to 0.016 in d, 0.2, -2/5? 0.2 Suppose 10*k - k + 36 = 0. Let g be k/(56/(-50)) - 4. Which is the nearest to -0.1? (a) -2/7 (b) g (c) -4/5 a Let t = -1.73 + 1.73. What is the nearest to -1/13 in -3, -2, t? t Let a be (4/30)/(3/(-9)). Let x = 31.33 + -32.33. What is the closest to a in 0.1, x, 5? 0.1 Let i = 327/10 + -164/5. What is the nearest to 1 in -1/11, i, 5? -1/11 Let x = 0.385 - -0.015. What is the closest to 0 in x, 1, 18, 2/15? 2/15 Let h = 30/13 - 73/26. Let r = -616/9 + 206/3. Which is the closest to -3? (a) h (b) -0.4 (c) r a Let w be ((-10)/(-66))/((49/21)/(-7)). What is the closest to -0.2 in w, -2/9, -0.5? -2/9 Suppose 12*k - 11*k - 5 = 0. What is the closest to 0.13 in -2, -0.5, k? -0.5 Let f = 5.1 + 10.9. What is the nearest to -1 in -1, -3, f, -5/4? -1 Let n be (-1)/(-3)*(-2)/(-5). Let m be (16/3)/(6/9). Suppose 0*o + 2*o + 3*h - m = 0, -5*o = -h - 3. Which is the nearest to o? (a) -0.1 (b) -0.4 (c) n c Let n = 7 - 8. Let t = -1 + 0. Let o = -119/5 - -24. Which is the nearest to n? (a) o (b) 5 (c) t c Let m = 29 - 138. Let k = -109 - m. What is the nearest to 0 in k, -0.2, 4? k Let n = 197/4 - 49. Let q be (10*(-1)/(-12))/(50/15). What is the nearest to q in n, 5, 10? n Let x be 1 - (4/(-1) + 9). Which is the closest to -3? (a) x (b) -0.3 (c) -0.1 (d) -3/5 a Let x be 6/27 + (578/72 - 4). Let d = 111/28 - x. What is the closest to d in -0.8, 5, -0.2? -0.2 Let m = -60 + 61.9. Let k = 0.7 - m. What is the nearest to 2 in 2, k, 2/7? 2 Let n be -12*(33/55 + (-7)/20). Let s = -0.8 + -4.2. Let r = 4.6 + s. What is the nearest to -2 in r, -2, n? -2 Let p be (5/((-135)/(-2428)))/((-26)/(-3)). Let d = p - 92/9. Let r = -0.32 - -0.12. What is the nearest to -0.1 in d, r, -1/3? r Let f = 26 + -44. Let c = f + 7. Let m = c + 6. What is the nearest to 1/4 in 0.3, 3/7, m? 0.3 Let l = 104 - 37. Let m = 62 - l. Which is the closest to 0.8? (a) -4 (b) m (c) 3/2 c Let k be (1/34)/((-1)/4). Let r = -452.7 + 434. Let n = r - -19. Which is the closest to 1? (a) 4 (b) n (c) k b Suppose 4*u - 16 = -0*u. Let q = -294 + 295. What is the closest to q in 0.2, u, 1? 1 Let q = -1166/7 - -166. Let j = 5218 + -5218. Let z = -5 + 1. Which is the nearest to z? (a) q (b) 1 (c) j a Let y = 7.1 - 7.194. Let t = -12.206 + y. Let r = t + 12. Which is the nearest to r? (a) -3 (b) -3/4 (c) -0.1 c Let q = 6 + -3. Let k = 309.3 - 309.7. Which is the nearest to q? (a) -5 (b) -1/4 (c) k b Let q = -81.61 - -81. Let o = q - -0.31. Which is the closest to -1? (a) 2/13 (b) o (c) 1/3 b Let r = -485 + 490. What is the nearest to 30 in 3/4, -3/5, r, -0.2? r Let r = 0 + -29. Let q = -29 - r. Which is the closest to q? (a) 2/13 (b) 1/5 (c) -0.1 c Let f = 254.8 - 254.8. What is the closest to 1 in 8, -16, f? f Let r be (2 - (-360)/(-63)) + 8 + -4. Let j(t) = -t**2 + 14*t - 4. Let g be j(10). Which is the closest to -1/2? (a) r (b) g (c) -1/3 c Let f = 0.2 - -0.1. Let g = -0.04 - -26.04. Let t = 25.6 - g. Which is the nearest to 3? (a) f (b) t (c) 1 c Let t be (-15)/(1 - (-10 + -3)). Let x = -4/7 - t. Let i be (-10)/25 + 23/(-5). What is the nearest to -1 in -1, i, x? -1 Let o = -276 - -279. Which is the closest to -0.1? (a) o (b) 1 (c) 0.1 (d) 0.01 d Suppose -2*o - 16 = -10*o. Let m = 0.01 + 1.23. Let p = m + -0.24. Which is the nearest to 1? (a) p (b) -0.3 (c) o a Let y(o) = -2*o - 8. Let n be y(-7). Let v = 8 - 4. Suppose -n = -2*l, -4*d + 2*d = v*l - 12. What is the closest to 0.1 in -1, d, -3? d Let o = 10.8 - 10.5. Suppose 0*j = j + 10. Let p = j + 11. Which is the closest to 1? (a) o (b) p (c) 3 b Let u be 8/10 - (-9)/45. Which is the nearest to -1/15? (a) -0.2 (b) u (c) -5 a Let o = -423 - -423.3. What is the closest to -1 in 2/11, -3/2, o? -3/2 Let j = 0.022 - -0.078. What is the closest to j in 0.3, 0.1, -2/15? 0.1 Let t = -177 - -177. Which is the closest to -17? (a) t (b) 5 (c) -2 c Let z = 140 - 136. What is the closest to 0.9 in z, -0.4, -1? -0.4 Let j be (-49)/(-12) + 0 + -4. Let o = -7/12 - j. Which is the nearest to o? (a) -0.3 (b) -0.1 (c) -4 a Let g = -52 - -259/5. Let v be 36/315 + 2/(-5). Which is the closest to g? (a) v (b) -1 (c) 0.5 a Suppose 3*w + 2*f = -w + 76, 3*w - 4*f = 79. Let o be 9/4*14/w. Which is the nearest to 0? (a) 2/11 (b) o (c) -0.2 a Let d(j) = -3*j - 2. Let p be d(-2). Let f = 128 - 128. Which is the nearest to -1? (a) f (b) p (c) -0.04 c Let s be (-2)/4 + 4 + (-1981)/490. Let c = s + -2/35. Let k be 1*2 + 24/(-10). What is the nearest to k in c, 0.4, -0.5? -0.5 Let g = 144 + -717/5. Let b = 0.4 - -0.1. What is the closest to 12 in g, b, -0.3? g Let i = -233/63 + 32/9. Which is the nearest to 0.3? (a) i (b) -3 (c) -1 a Let f(r) be the first derivative of r**4/4 + 3*r**3 - 9*r**2/2 + 7*r - 4. Let j be f(-10). What is the nearest to 2/7 in j, 1, -1/4? -1/4 Suppose v - 12 = 5*v. Let j be v/2 - (-14)/(-4). Let o = 20 - 20.1. What is the nearest to o in 3, -4/3, j? -4/3 Let d = -0.57 - -18.57. Let h = 17.7 - d. Which is the closest
{ "pile_set_name": "DM Mathematics" }
l Let s = 51 - -683. What is the third derivative of 734 - 11*f**4 - 129*f**2 - 13*f**4 + f**5 - s wrt f? 60*f**2 - 576*f Let u be (2*-1 - (-25 + 23)) + 2. Find the first derivative of -147 + 476*l**u - 530*l**2 + 10 wrt l. -108*l Suppose 2 + 2 = 4*h - 4*u, 2*h + 2*u + 10 = 0. Let g be (-3*5)/(h - (-5)/5). What is the second derivative of -25*p - g*p**2 + 3*p**2 + 5*p**2 wrt p? -14 Let a(h) = 20*h**2 + 10*h - 111. Let y(i) = 10*i**2 + 6*i - 56. Let v be (5/6)/(1/6). Let b(f) = v*y(f) - 3*a(f). What is the derivative of b(o) wrt o? -20*o Let c(g) be the third derivative of 4*g**7/5 + 526*g**3/3 - g**2 - 622*g. Find the first derivative of c(b) wrt b. 672*b**3 Let b(h) = -h**2 - 2*h + 12. Let r be b(0). Differentiate -31*k**2 - 87 - r + 44 with respect to k. -62*k Differentiate 2568*i**3 - 5139*i**3 - 1961 + 891*i + 2576*i**3 wrt i. 15*i**2 + 891 Let z(p) be the first derivative of 3093*p**4/2 + 5*p**3/3 - 2*p**2 + 13*p - 2860. Find the third derivative of z(k) wrt k. 37116 Let h(t) be the first derivative of -t**4/4 + 994*t**3/3 + 1533*t - 416. What is the derivative of h(y) wrt y? -3*y**2 + 1988*y Let n(f) = 8*f**2 - f. Let a be n(1). Suppose 28*p - 48*p + 200 = 0. Find the second derivative of a*r + p*r**3 - r**3 + 5*r wrt r. 54*r Let u(p) = -47*p + 225. Let h be (18/(-9))/2*2/2. Let t(m) = -m + 3. Let g(a) = h*u(a) + 3*t(a). What is the first derivative of g(b) wrt b? 44 Let p(m) be the second derivative of m**4/12 + 56*m**3/3 - 2220*m**2 + 848*m - 2. Differentiate p(g) wrt g. 2*g + 112 Let q(p) be the third derivative of 23*p**9/7560 - 13*p**6/45 - 137*p**5/60 + 154*p**2. Let k(c) be the third derivative of q(c). Differentiate k(d) wrt d. 552*d**2 Suppose h - 3*l + 4 = -3, 2*h + 8 = 4*l. What is the first derivative of 7*f**2 + 103*f**2 + 27 + 24*f**2 - 62*f**2 + 105*f**h wrt f? 354*f Let w = 14984 - 14984. Let r(y) be the first derivative of 0*y**3 + 21/2*y**2 + 14/5*y**5 + 0*y + 2 + w*y**4. What is the second derivative of r(a) wrt a? 168*a**2 Let a(m) = -26*m**5 + 42*m**4 - 28130*m. Let n(t) = 8*t**5 - 15*t**4 + 9377*t. Let y(z) = -6*a(z) - 19*n(z). Find the second derivative of y(u) wrt u. 80*u**3 + 396*u**2 Let p(c) = 6*c**2 + 5*c - 4. Let i be p(-3). Let z = 44 - i. What is the third derivative of -22*d**2 - 118*d**3 + 118*d**3 - z*d**5 wrt d? -540*d**2 Let z(r) be the second derivative of 4*r**5/15 - 19*r**3/2 + 39*r**2/2 + r + 4. Let v(i) be the first derivative of z(i). What is the derivative of v(j) wrt j? 32*j Let y(o) = -9*o**4 - 1652*o**3 + 167*o**2. Let t(v) = 2*v**4 + 8*v**3 - 2*v**2. Let i(f) = -5*t(f) - y(f). What is the third derivative of i(b) wrt b? -24*b + 9672 Let u = -939 - -1879/2. Let f(v) be the third derivative of 14*v**2 + u*v**4 + 0 + 1/4*v**5 + 0*v**3 + 0*v. What is the second derivative of f(r) wrt r? 30 What is the second derivative of -31*w**2 - 1401 + 995*w + 711*w**2 + 1401 wrt w? 1360 Find the third derivative of 993*h**2 + 7 + 11 - 2707*h**3 - 840*h**2 - 3*h - 24 wrt h. -16242 Let g be (-1 + 3/(-6))*-2. What is the third derivative of 25 - 25 - 67*a**g - a**2 - 6*a**3 + 23*a wrt a? -438 Find the third derivative of -9752*f + 5498*f**3 - 76 + 9761*f - 35*f**2 + 75 - 67*f**2 wrt f. 32988 Let l(f) be the third derivative of -3661*f**4/12 - 1483*f**3/3 - f**2 + 1637. Find the first derivative of l(i) wrt i. -7322 Let q(x) be the second derivative of 0*x**3 - 41/15*x**6 + 3*x - 7/6*x**4 + 0*x**5 - 20 + 3/2*x**2. Find the third derivative of q(b) wrt b. -1968*b Let y be (32 - 26)*1/2. Suppose 0*v + 7 = 3*v + 5*r, -y*r + 17 = 5*v. What is the second derivative of 3*d - 2*d**4 - 3*d + 11*d + 16*d**v wrt d? 168*d**2 Find the third derivative of -4*o**2 - 124 + 790*o**5 + 209 + 92 + 2213*o**5 wrt o. 180180*o**2 What is the second derivative of -273*c + 277 + 139*c + 207 + 125*c - 571*c**2 wrt c? -1142 What is the third derivative of 2 + 0 - 140*h**2 + 3580*h**2 + 1732*h**3 wrt h? 10392 Let t(l) = 23*l + 13. Let g(j) = -14 + 35*j + 17*j - 76*j. Let w(f) = 5*g(f) + 4*t(f). What is the first derivative of w(d) wrt d? -28 Let r(t) = 7775*t + 13510. Let f(z) = 864*z + 1503. Let s(l) = 55*f(l) - 6*r(l). Find the first derivative of s(b) wrt b. 870 Let q(m) = 840*m**2 + 6*m - 1185. Let w(v) = -1676*v**2 - 13*v + 2369. Let s(k) = -13*q(k) - 6*w(k). Differentiate s(u) wrt u. -1728*u Suppose -21*u + 103 = 19. Let o(r) be the third derivative of r**2 + 10/3*r**3 + 0 + 0*r + 29/24*r**u. Differentiate o(g) wrt g. 29 Let x(i) be the second derivative of 25/6*i**4 - 120*i + 0 + 1/5*i**5 + 0*i**3 - 1/2*i**2. What is the third derivative of x(d) wrt d? 24 Suppose 3*y - y = 6. Find the third derivative of 60*k - 146*k**y - 21*k**3 + 2*k**2 - 5*k**2 - 4*k**2 + 9*k**2 wrt k. -1002 Let s be ((-672)/36 - -17)*(-47 + -1). Find the second derivative of s*h**2 - 10*h**2 - 5*h**4 + h**4 + 231*h + 3*h**4 wrt h. -12*h**2 + 140 Let y(j) = 6*j**2 - 59*j + 456. Let r(i) = -4*i**2 + 65*i - 456. Let o(x) = -5*r(x) - 6*y(x). What is the first derivative of o(l) wrt l? -32*l + 29 Let f(b) = b**3 + 12*b**2 + 13*b - 6. Let c be f(-11). Let h = c - -34. Find the third derivative of 4*t**5 - 10*t**5 + 20*t**2 + 11*t**6 + h*t**5 wrt t. 1320*t**3 Let o(v) be the first derivative of 51*v**5/20 + 41*v**3/6 + 27*v - 95. Let i(y) be the first derivative of o(y). What is the second derivative of i(p) wrt p? 306*p What is the derivative of 2*c**3 - 461*c - 2777 - 3*c**3 + 7472 wrt c? -3*c**2 - 461 Let b(j) be the second derivative of 0*j**6 + 0 + 170*j + 11/12*j**4 + 107/21*j**7 + 0*j**5 - 1/2*j**2 + 0*j**3. Find the third derivative of b(m) wrt m. 12840*m**2 Suppose 2*l = -0 + 28. Let w = l - 10. Find the second derivative of -16*t - 3*t**w - 458 + 5*t**4 + 458 wrt t. 24*t**2 Suppose v - 36 = 3*q + 6, -v = -2*q - 38. Suppose -3*l + 1 = 4, -4*l = -2*t + v. What is the third derivative of 612*s - 612*s - 4*s**3 - t*s**2 + 0*s**3 wrt s? -24 Suppose 5*i + 90 = -5*m, -3 = -4*m - 7. Let t be (-22)/(-4) - i/(-34). Find the second derivative of 3*o - t*o**4 + o**4 + 21*o wrt o. -48*o**2 What is the second derivative of 4848*j + 70*j**5 - 1538*j - 42*j**5 - 530*j**3 + 2226*j + 534*j**3 wrt j? 560*j**3 + 24*j Let b = -233 - -239. Let w = -3 + 3. Find the third derivative of -56*s**2 + 0*s**3 + 14*s**b + w*s**3 + 47*s**2 wrt s. 1680*s**3 Suppose -72*g + 70 = -71*g. Let c = g + -65. What is the third derivative of 10*q**2 - 72*q**4 + 54*q**4 + c*q**2 wrt q? -432*q Let j(n) = 1931*n + 13863. Let c(m) = -1932*m - 13926. Let g(r) = 3*c(r) + 4*j(r). What is the first derivative of g(k) wrt k? 1928 Let m(d) be the second derivative of 883*d**5/10 - 1111*d**4/6 - d + 211. What is the third derivative of m(z) wrt z? 10596 Let p be ((-6)/(-20))/((-2)/(-20)). Differentiate 452*c**3 - 452*c**3 + 18 - p + 119*c**4 with respect to c. 476*c**3 Let z(s) be the third derivative of 11*s**7/105 + 13*s**6/24 - s**5/60 - 1255*s**4/12 + s**3/2 - 2*s**2 + 2*s - 68. What is the second derivative of z(o) wrt o? 264*o**2 + 390*o - 2 Let k(l) be the second derivative of -l**3/2 - 11*l**2 - 17*l. Let y be k(-8). Differentiate -10*x - 1 - 10*x + 8 + y*x with respect to x. -18 What is the second derivative of -9 + 45*t**4 + 1 - 4 + 17*t + 1 - 487*t**4 wrt t? -5304*t**2 Let r(m) = 4*m**2 - 53*m - 1. Let n be r(-6). Find the second derivative of n + 3*x**4 - 231 + 3*x + x**5 - 228 + 4*x**4 wrt x. 20*x**3 + 84*x**2 Differentiate -1720 + 100 + 2023962*m - 2024697*m with respect to m. -735 Let b(p) = -233*p**2 - 228. Let d(u) = 466*u**2 + 455. Let s(j) = -2*j + 39. Let c be s(15). Let x(l) = c*b(l) + 4*d(l). What is the derivative of x(g) wrt g? -466*g Let z(a) be the third derivative of -109*a**7/70 - 13*a**5/60 + 17*a**4/12 - a**3/3 - a**2 + 48. Find the third derivative of z(g) wrt g. -7848*g Let q(i) be the first derivative of 3*i**2 + 1/2*i**4 + i**6 + 0*i**3 + 0*i**5 + 1 - 5*i. Find the second derivative of q(v) wrt v. 120*v**3 + 12*v Suppose 2*j = 15*j - 858. Let a = j + -62. Find the second derivative of -26*y**4 + 16*y**4 + 25*y**a + 17*y wrt y. 180*y**2 Let b(i) = -3244*i - 10305. Let q(g) = 12978*g + 41222. Let k(m) = -9*b(m) - 2*q(m). Differentiate k(z) with respect to z. 3240 Let i(f) be the third derivative of -298*f**4/3 + 5849*f**3/6 - 5581*f**2 - 1. What is the derivative of i(p) w
{ "pile_set_name": "DM Mathematics" }
-0.017 - d. Round f to 2 dps. 0.04 Let m = 0.2 - 0.17. Let a = -0.0300048 + m. What is a rounded to six dps? -0.000005 Let o = -8.31 - -0.01. Let j = o + 10. Let q = 1.6999991 - j. Round q to 6 dps. -0.000001 Let k = 2.2 + -13.2. Let a = -6 + k. Let t = a + 16.99943. Round t to 4 decimal places. -0.0006 Let y = 0.241841 - 0.242. Round y to five decimal places. -0.00016 Let i = -101 + 54. Let h = -0.0873565212 - 46.9126420988. Let m = i - h. Round m to 7 decimal places. -0.0000014 Let i be (1 - 0)*(2 - -3). Let o = 14 + -10. Suppose 2*m + 19827 = o*t - 9775, -i*m = -t + 7405. Round t to the nearest 1000. 7000 Suppose 4*d - 4543340 = 9706888. Let a be 0 - (-1)/((-2)/(-8)). Suppose -3*m + 3*q = 2099985, -62537 + d = -5*m - a*q. Round m to the nearest one million. -1000000 Let p = -123.7 + 131. What is p rounded to the nearest integer? 7 Let n = -132.429 - -132.669057. Let x = -0.24 + n. What is x rounded to five decimal places? 0.00006 Let v = -0.27999912 + 0.28. What is v rounded to 7 decimal places? 0.0000009 Let x(r) be the third derivative of -23*r**4/24 + r**3/3 + 3*r**2. Let g be x(4). What is g rounded to the nearest 100? -100 Let a = 12.9 - 13. Let i = -1.6 - a. What is i rounded to 1 dp? -1.5 Suppose 3*b = -3*p + 37497, -5*b = -2*p - 94123 + 31621. Let l be ((-36)/(-15))/(2/b). What is l rounded to the nearest 10000? 20000 Suppose 2*y - 4*i = i - 15, 5 = i. Suppose 2383117 + 3416983 = y*t. Suppose -4*w - t = -4*d, -4*w - 4*d = 1075593 + 84387. Round w to the nearest 100000. -300000 Let q = -21.999 + -0.001. Let k = 21.958 + q. Let j = k + 0.04335. Round j to four dps. 0.0014 Suppose 2*r + 2 = -2*u - 4, 2*u - 2*r = 6. Suppose -2*s - 616934 - 138596 = u. Let w = s + 937765. What is w rounded to the nearest one hundred thousand? 600000 Let k(l) = -2 - 2 - 148807*l - 41195*l. Let g be k(-2). Round g to the nearest one hundred thousand. 400000 Let c(k) be the second derivative of -k**3/6 + k**2 + 2*k. Let w be c(0). Suppose w = a, 2*a = -4*v + a + 2. What is v rounded to the nearest one thousand? 0 Let c = 33.68686 - -0.38014. Let l = c + -0.067. Let z = l + -34.00052. Round z to 4 decimal places. -0.0005 Let i = -4.25 + -0.55. Let u = -0.8 - i. Let p = 3.97 - u. What is p rounded to two dps? -0.03 Suppose 6*m - 3980000 = 2*m. Suppose 6*f = f - m. Round f to the nearest ten thousand. -200000 Let a = 1589 + -1588.9357. Round a to two dps. 0.06 Let z = -29.00000894 + 29. What is z rounded to 7 decimal places? -0.0000089 Suppose 2*l + 10 = 0, -3*p + 2 = 2*l + 3. Let q(k) = 126843 + 157 + p*k - 6*k + 2*k. Let x be q(0). Round x to the nearest 10000. 130000 Let t be ((-1728)/(-10))/(6/104300). Let u = 1446160 + t. Suppose 3*q = 0, -3*q = v + 4*v - u. What is v rounded to the nearest 100000? 900000 Let s = 85 + -80.55. What is s rounded to the nearest integer? 4 Let y = -0.02 + 0.0195. Round y to three dps. -0.001 Let h be 0 + 77002 + -9 + 7. What is h rounded to the nearest 10000? 80000 Suppose -4*b + 3*b = 2*k - 181006, 4*k = -4*b + 724012. Round b to the nearest 10000. 180000 Suppose 3*n + 1426054 = -26173946. What is n rounded to the nearest one million? -9000000 Let a(y) = -y**3 + 10*y**2 + 11*y + 1. Let g(r) = -2*r - 7. Let q be g(-9). Let x be a(q). Let c be 2/2 + x + -2. Round c to four decimal places. 0 Let v(s) be the third derivative of -2021*s**5/20 + s**4/24 + 2*s**3/3 - 4*s**2. Let i be v(4). What is i rounded to the nearest ten thousand? -100000 Let c = 8.93 + 0.07. Let m = -7.65 + c. Round m to one dp. 1.4 Let q = 13 - 8. Let v = 4.9994 - q. What is v rounded to 3 decimal places? -0.001 Let y = -0.02 + -0.1. Let x = -0.04 + y. Round x to 1 dp. -0.2 Let c = 8061908 + -8061796.99919. Let q = c + -111. Round q to four dps. 0.0008 Let f = 0.016 + -0.01465. Round f to four dps. 0.0014 Let j = 27739 + -27780.967. Let y = -0.15 + 42.15. Let o = y + j. What is o rounded to two dps? 0.03 Let u(b) = b**2 + 5*b + 5. Let z be u(-5). Suppose -460010 = s - 5*q, 2*s + 1840010 = -2*s + z*q. What is s rounded to the nearest one hundred thousand? -500000 Let a = 279.8 - 294.73. Let g = 14 + a. Round g to 1 decimal place. -0.9 Suppose 3*c + 6 = 24. Let o = 9 - c. Suppose g + 26700 = -2*g + o*y, -4*g + 3*y = 35600. Round g to the nearest 1000. -9000 Let o = 25.87 + -24.9704. Let g = -0.9 + o. What is g rounded to four decimal places? -0.0004 Suppose -5*j = 0, 5*j - 1 = -3*m - 4. Let z(k) = -26*k**3 - k**2 + k + 1. Let p be z(m). Round p to the nearest ten. 30 Let z = -392 - -385.38. Let p = z - -0.556. Let y = p + 6. What is y rounded to 2 decimal places? -0.06 Suppose 4*i = 6*i + 124000. Round i to the nearest 10000. -60000 Let h = -1529509 + 1529508.7399932. Let n = h - -0.26. Round n to 6 decimal places. -0.000007 Let c be (104/(-6))/((-17)/(-255)). What is c rounded to the nearest one hundred? -300 Let s = -2 - 1. Let g be -100*(1 + (-1197)/s). What is g rounded to the nearest ten thousand? -40000 Let f = -26304.77 + 26093. Let j = f - -213. Let p = 1.2193 - j. What is p rounded to three decimal places? -0.011 Suppose -26*y + 119100000 = -23*y. Round y to the nearest one million. 40000000 Suppose -7*d = -6*d - 3. Suppose -330 = -d*o - 1350. What is o rounded to the nearest one hundred? -300 Let l = 203356267.99999972 + -203356264. Let y = 4 - l. Round y to seven dps. 0.0000003 Let v(p) = -74*p**2 - 9*p - 12. Let i be v(6). What is i rounded to the nearest 100? -2700 Let l = -75849346 - -75849346.99999942. Let g = l - 1. What is g rounded to seven dps? -0.0000006 Let m = -262603.43682 - -262599. Let d = m - -6.33693. Let r = -1.9 + d. What is r rounded to four decimal places? 0.0001 Let y = 20 - -117. Let w be (1 + y)*(-50000)/15. Round w to the nearest 100000. -500000 Let j = -49 - -49.213. Round j to 2 dps. 0.21 Suppose 2*u = 3*f - 15599996, 0 = 6*f - f + 5*u - 26000010. Round f to the nearest one million. 5000000 Let x = -4 + 3. Let a = x - -7. Let q = -5.72 + a. What is q rounded to one dp? 0.3 Let t = -284 - -283.9749. What is t rounded to 3 dps? -0.025 Suppose -5*c = -3*c + 2400000. Round c to the nearest 100000. -1200000 Let x = -0.148 + 0.799. What is x rounded to one decimal place? 0.7 Let o be ((-612)/20)/((-9)/30). Let u = o + -146. Round u to the nearest ten. -40 Let r = -27346 - -27343.3601. Let k = 10.3545 - r. Let p = k + -13. Round p to three decimal places. -0.006 Let o = -0.42966 + 0.43. Round o to four decimal places. 0.0003 Let d = 15 - 14.991. Let o = d - -0.0122. Round o to three decimal places. 0.021 Let i = -72761944.69985 + 72763903. Let s = i + -1957.3. Let x = s + -1. What is x rounded to four dps? 0.0002 Let g = 8 + -8.0000006. What is g rounded to six dps? -0.000001 Let h be (3/((-27)/(-672)))/((-4)/150). Round h to the nearest 1000. -3000 Let h = 153.4 + -165.29. Let g = 12 + h. Let a = g - -2.29. Round a to the nearest integer. 2 Let n = 101 - -84. Suppose 0 = 2*m + 3*v + 835, -m - v - n = 230. What is m rounded to the nearest one hundred? -400 Let h = 582796 + -582783.99962. Let o = 12 - h. Round o to 4 decimal places. -0.0004 Let c be (13932024/30)/((-1)/5). Let k be 4/(-18) - c/18. Round k to the nearest 10000. 130000 Suppose -3*o - 18180 = 3*o. What is o rounded to the nearest one hundred? -3000 Let u = 1184251 + -1180436.014. Let v = -3819 + u. Let z = -4 - v. What is z rounded to two decimal places? 0.01 Let c(o) = o**3 + 2*o**2 - 8*o. Let s be c(-4). Let q = 9 - 5. Let x = s + q. What is x rounded to 0 decimal places? 4 Let l = 71054 - 43454. Round l to the nearest 1000. 28000 Suppose 0 = -3*c - 4*o + 8, 5*c + 45 = o + 4*o. Let q = -14 + c. Let b be (2800/(-12))/(2/q). Round b to the nearest one thousand. 2000 Suppose 3*d + 3*x + 3 = 0, -d + 2 = d + x. Suppose -b - 2*n - 122998 = 0, d*b + n + 368995 = -4*n. Round b to the nearest 10000. -120000 Let n = 45.916 + -46. Let q = 0.01 - n. Let y = 0.1 - q. What is y rounded to 2 decimal places? 0.01 Suppose -3*p + 4 = p, 0 = 4*d + 4*p + 275996. What is d rounded to the nearest ten thousand? -70000 Suppose 0 = 2*g - t + 3196, 4*t + 3 + 13 = 0. Suppose 0*a - 5*r = a - 21, 3*a + 1 = r. Let f be (g/a)/((-1)/5). What is f rounded to the nearest ten thousand? 10000 Let k = 2.2086 - 0.0186. Let g = 34 + -33.79. Let m = k + g. What is m rounded to the nearest integer? 2
{ "pile_set_name": "DM Mathematics" }
alculate (-646)/(-816)*-8*6/(-2). 19 (10/4)/(-1)*((-1088)/(-170))/(-16) 1 (2/(-70))/(2980/(-268200)) 18/7 What is ((-378)/(-35))/(-9)*(-10)/234? 2/39 What is (-2)/5*33/(-22)*1? 3/5 What is the value of 139/(2780/120)*2/(-6)*5? -10 What is (-1*7)/((-6)/(-6)*(-2)/2)? 7 What is the value of 4/(-7)*(-546)/52? 6 3/((8/(-4))/((-24)/(-12))) -3 Evaluate (((-3)/(-15))/((-2)/5))/(355/9230). -13 Calculate (-13)/65*(-6)/22*10. 6/11 Calculate (120/15)/(16/(-28)). -14 What is the value of (10/(-80)*-12)/(36/(-16))? -2/3 What is (104/(-8))/((-2)/(-1)*(-81)/54)? 13/3 What is (((-153)/6)/(-17))/(72/(-912))? -19 What is 21*4/36*-3? -7 What is (9848/163723)/(4/7)? 2/19 (36/72*-3)/(2/(8/2)) -3 Calculate -2*(-5)/(-14)*80/100. -4/7 (140/105)/((-16)/(-6))*-8 -4 Calculate 39/9*(-16)/(-48)*9*1. 13 Evaluate (((-1080)/108)/(3/(-1)))/(8/(-6)). -5/2 What is ((-98)/(-1127))/((-1)/(-23))*12/(-8)? -3 What is the value of (-119)/578*(-5)/35*-8? -4/17 Evaluate (-26)/4160*16*-230. 23 What is the value of (30/40)/(24/(-256))? -8 What is (-5)/25*(-13)/(26/4)? 2/5 Evaluate (-11)/(2079/(-56))*(-30)/(-20). 4/9 (-23*56/(-322))/(-18) -2/9 Calculate (-2310)/(-1232)*4/(-9). -5/6 What is the value of (2/(-48)*-3)/(669/19624)? 11/3 Evaluate (-6)/(-7)*12243/57717. 2/11 Calculate (-25)/(100/(-28))*-1. -7 What is the value of ((3/(-3))/(-1))/(5*7/(-665))? -19 What is (-4)/(-6)*5*(-6)/45? -4/9 What is (84/(-5103))/(6*(-8)/216)? 2/27 Evaluate (23*(-2)/2)/(-73*52/(-3796)). -23 Calculate (81/(-6))/((-90)/(-120)). -18 What is the value of ((-9)/2646*-7*-9)/((-18)/231)? 11/4 What is 260/16*-1*(-8)/5? 26 Evaluate ((-1)/(22/3))/((-7973)/15946). 3/11 Calculate (-1326)/78*12/510. -2/5 Calculate (99/(-11))/(2/((-70)/21)). 15 (2/(-16))/(4/((-19)/((-95)/16))) -1/10 What is 12*4*(-28)/1008? -4/3 What is the value of (24/(-34))/((-556)/4726)? 6 Calculate 50/30*(612/(-28050))/(4/(-30)). 3/11 Calculate 8/2*(-9860)/7888. -5 (22/220*-8)/((-1)/5) 4 What is (-11)/(539/42)*(-14)/(-8)? -3/2 Evaluate (-3)/((-42)/8)*-9*5/30. -6/7 What is ((-2086)/2235)/(8/(-20)*1/(-2))? -14/3 (2124/(-4956))/((24/(-21))/2) 3/4 What is the value of 71/((-4686)/(-36))*-11? -6 Evaluate 25/(171000/(-80))*-3. 2/57 (-63)/(-81)*(8/70)/4*6 2/15 What is ((-200)/350)/((-4)/(-84))? -12 What is the value of ((-365)/146)/(-3*(-7)/210)? -25 Calculate (-5)/28*2*12/60. -1/14 Calculate (30/90)/(((-35)/40)/(9/60)). -2/35 What is the value of ((-1)/(-16))/((-201)/1206)? -3/8 What is 60/14*(-675)/150*1/(-27)? 5/7 Calculate (20/(-56)*(-4)/5)/(32/(-14)). -1/8 Calculate ((-14)/18)/(147/(-63)). 1/3 What is (27216/4158)/(8/22)? 18 Evaluate -1*(-3)/(-1)*5*14/315. -2/3 Evaluate (-280)/105*12/(-8)*12/(-56). -6/7 (-2)/(((-48)/1280*-20)/(9/(-8))) 3 ((-67)/((-20167)/258))/((-2)/(-35)) 15 Evaluate 2/(-8)*56/238. -1/17 Evaluate -4*3/135*(-64017)/4742. 6/5 3*4/(-378)*350/100 -1/9 What is the value of (-754)/2*1161/(-15093)? 29 (180/390)/(40/52) 3/5 Calculate (((-6)/(-15))/2)/(36/(-135)*3). -1/4 What is the value of 182/1092*18/(-14)? -3/14 What is the value of (23/(-92))/(8/(-32))? 1 What is the value of (34/68)/(((-2)/(-40))/((-60)/25))? -24 (-1*(-12)/(-24))/1 -1/2 (456/57)/(5/2*(-12)/3) -4/5 What is the value of ((-40)/(-72))/((-9)/(-27))? 5/3 ((-93)/217)/(180/(-105)) 1/4 (58/(-30))/((-2153)/10765) 29/3 What is ((-33)/(-231))/((-4)/(-21))? 3/4 Calculate 5418/1935*(-10)/(-7). 4 (-4)/(3/((-66)/8)) 11 What is the value of 62*(12/288*-8)/((-2)/(-3))? -31 Calculate 30*((-348)/(-29))/(-72). -5 What is ((9/(-63))/((-3)/14))/1? 2/3 (-4)/31*(23/(-69)*6)/(-4) -2/31 Evaluate ((((-9)/3)/3)/(-1))/((-15)/5). -1/3 Calculate 11*-1*5/(-25)*-5. -11 Evaluate (54/(-504)*7)/((-2)/(-8)). -3 What is the value of (-432)/192*186/54? -31/4 What is 2135/3294*9*18/56? 15/8 (8/(-20))/(104/3900) -15 Calculate -7*2/14*-4*2/(-8). -1 What is ((-3)/2)/((6/14)/((-220)/(-385)))? -2 2/(-8)*(-256)/(-112)*(-1)/2 2/7 Calculate 4/10*58/(-58)*1/(-4). 1/10 What is ((-24)/28*(-259)/444)/((-9)/(-3))? 1/6 Evaluate (-11)/((-154)/(-35))*(-3)/(-30)*-2. 1/2 What is the value of ((-22)/33)/(14/(-294))? 14 Evaluate 635/2540*16/10. 2/5 -4*(1/((-276)/(-54)))/((-6)/2) 6/23 What is the value of (70/(-70))/((-6)/48)? 8 Calculate 3/(-153)*-1*(-576)/(-96). 2/17 Evaluate (82/41)/8*-128. -32 What is the value of ((2*6)/2)/(62/((-6448)/39))? -16 Evaluate (-2)/590*(-37)/((-222)/(-60)). 2/59 What is the value of 12*((-2)/(-7))/(59/((-8673)/(-84)))? 6 What is the value of (-78)/(-13)*((-4)/24*-3)/(-19)? -3/19 What is the value of (36/(-32))/(3/(-5*20/25))? 3/2 (2636/(-76444))/(2/(-29)) 1/2 What is the value of 5/(20/48)*432/576? 9 (1/24*-2)/((64/24)/(-8)) 1/4 4/(36/63)*(-2)/(-77) 2/11 Evaluate ((-3)/(-8))/(((-81)/(-3888))/(10/(-60))). -3 -6*186/(-540)*-15 -31 What is the value of (18/(-14))/(((-126)/(-21))/(-2))? 3/7 Calculate (1220/600)/61*(-5)/2. -1/12 What is the value of ((-2)/18)/((-39)/((-8424)/(-396)))? 2/33 Calculate (7/21*18)/((3/(-2))/(-3)). 12 What is (-36)/15*1750/210? -20 Evaluate 20*6*-1*4*(-9)/144. 30 What is the value of (3*6)/((-126)/63)? -9 What is (19/(-19))/(-9*-1*3/9)? -1/3 Calculate ((-80)/(-64))/((-63)/(-1008)). 20 Evaluate (20/840*-91)/((-1)/(-12)*-2). 13 Evaluate (((-39)/(-6))/(2028/208))/(4/(-126)). -21 12/(-16)*6*240/(-36) 30 What is the value of 4/5*120/(-144)*-21? 14 What is the value of (4/(-70))/((-3725)/(-5215))? -2/25 What is ((-595)/(-140))/((-3)/(-12))? 17 Calculate ((-63)/(-455))/(201/335). 3/13 What is the value of 30/(-75)*(-60)/8? 3 Calculate 51/170*-7*6/(-189)*6. 2/5 ((-8)/(-154))/(((-1280)/28)/32) -2/55 Evaluate ((-16)/252)/2*7. -2/9 28*50/(-525)*9/2 -12 What is the value of ((-81)/36)/((-11)/(-88))? -18 What is the value of ((-2)/4)/((-27)/(-918))? -17 1*3*(1196/(-12))/23 -13 8/((40/(-16)*2)/((-1)/(-1))) -8/5 (((-105)/2)/7)/((-249)/(-332)) -10 Evaluate -15*(-4)/36*948/(-30020). -1/19 Evaluate (-483)/805*10*(-10)/48. 5/4 Calculate (-76)/(-6)*(2106/36)/39. 19 What is ((-4)/10)/(32*27/12960)? -6 What is (20/(-1))/(156/117*9/6)? -10 (153/(-6))/((-8)/12*216/(-96)) -17 Calculate ((10/(-4))/(1/(-6)))/((-2268)/1512). -10 (5/(-7))/((-31)/(6076/(-56))) -5/2 What is ((-6)/5*140/(-1456))/(15/20)? 2/13 ((-495)/275)/((-2)/30) 27 What is the value of (-58)/87*3/25? -2/25 Evaluate -1*(-15)/(60/(-8))*-6. 12 What is 2*3/(-20)*16/(1728/450)? -5/4 30*(-4)/50*5 -12 25/(1250/20)*(-15)/2 -3 (((-16)/(-15))/(-4))/(-22*(-11)/605) -2/3 (221/(-102))/((-3)/6)*3 13 Evaluate ((-17)/68*-2)/(-74*(-2)/(-16)). -2/37 What is ((-54)/(-16))/(909/(-1212))? -9/2 Calculate (-9)/((-18)/(-20))*3/(96/80). -25 Evaluate (-2496)/(-468)*(-1)/(-16). 1/3 Evaluate 1/6*(-204)/8*60/15. -17 Evaluate ((-114)/(-3135))/(8/10). 1/22 What is 2660/(-42)*(-42)/140? 19 Evaluate 187/154*-2*-7. 17 Calculate ((-4)/22)/(1254/(-25289)). 11/3 What is 530/(-1060)*2*20/2? -10 9/2*2*18/(-27) -6 What is the value of (-468)/104*2/((-18)/(-3))? -3/2 What is (-343)/(-392)*((-1)/(-2))/(189/(-54))? -1/8 What is ((-10)/(-135)*9)/((-1)/(-15))? 10 Calculate ((-2)/(-28))/((-3)/(-12))*(-1932)/(-368). 3/2 (-14)/(-84)*3*9 9/2 What is (((-5)/10)/(-1))/((-12)/(-216))? 9 Evaluate (-1)/(((-2706)/572)/41*(-4)/(-6)). 13 (72/(-9))/((-168)/6) 2/7 What is the value of (2/12)/((-315)/(-6885)*-17)? -3/14 What is ((147/28)/7)/(12/(-8))? -1/2 Calculate (145/87)/((-95)/(-2052)). 36 Evaluate 14*(-40)/(-140)*7/(-8)*-2. 7 What is ((-126)/231)/((-12)/(-88))? -4 What is (-3)/(-2)*13*(-3)/(-156)? 3/8 What is ((-20)/(-60))/(((-21)/35*5)/21)? -7/3 Evaluate (-2)/(-12)*(30/(-14))/(1104/1932). -5/8 What is the value of 124/217*3/6? 2/7 What is the value of (-33)/(-6)*3/((-66)/(-8))*2? 4 Calculate (2*1/(-3))/((1089/27)/(-11)). 2/11 Evaluate (-14)/(-20)*260/104*6. 21/2 What is the value of (2*((-6)/15)/1)/((-100)/(-75))? -3/5 Calculate 105/4*256/320. 21 What is the value of -3*((-32)/(-40))/(6/30)? -12 Calculate (2256/(-3948))/(50/(-7)). 2/25 What is (-52)/(-12025)*(-1225)/(-98)? 2/37 (1872/(-96))/((-12)/8) 13 Evaluate ((-2786)/(-2189))/((-1)/11). -14 What is (9/(-8)*236/177)/(1/(-2))? 3 What is the value of 2/(2*(-561)/44)*(-12)/(-8)? -2/17 Calculate (17/(3570/60))/(-3*(-2)/(-399)). -19 What is the value of (32/20)/(-8*(-98)/560)? 8/7 What is (-130)/52*3060/225? -34 What is 18/56*(10/9)/5*-2? -1/7 Calculate ((-6)/(-4))/((-5)/(-4)*399/2660). 8 Calculate ((-405)/675)/(66/20). -2/11 Evaluate (
{ "pile_set_name": "DM Mathematics" }
77 = 3*m. Let c = q + 9. Let l(b) = b**3 + 9*b**2 + 11*b + 5. Is 9 a factor of l(c)? False Let o(a) = -7*a**2 - 11*a - 8. Let f(t) = 6*t**2 + 11*t + 8. Let w(j) = -6*f(j) - 5*o(j). Suppose 2*m - y + 0*y + 16 = 0, -4*y = -4*m - 28. Does 10 divide w(m)? True Let y = -4 + 7. Suppose j - 5*x + y = 0, -6 = 2*j - 0*j - 2*x. Is (-55)/(-2) + j/2 a multiple of 13? True Suppose -k - 3 = -2*w + w, 3*w = -k + 13. Suppose w*h + y = 69, 5*h - 13 - 75 = -3*y. Is h a multiple of 17? True Let u = -7 + 11. Suppose -76 = -5*r + u*h, -3 = h + 1. Does 4 divide r? True Is 7 a factor of 48/18*(-174)/(-8) + -1? False Let s be 8/12*9 - 2. Suppose s*n + 3*n - 224 = 0. Does 16 divide n? True Let i = -1 + 4. Suppose -3247 = -i*s - 307. Is 11 a factor of (-2)/(-9) - s/(-45)? True Let g = -146 + 206. Does 12 divide g? True Let w be 6/(-2 - 1)*-2. Suppose 2*a - 1 + 38 = -v, 2*a + w*v = -40. Does 6 divide a/(-63) - (-94)/14? False Suppose 4*w = 7*w - 312. Suppose c = 4*c - 15. Suppose -4*p - 2*v + 30 = -w, -c*p - 3*v + 165 = 0. Is 10 a factor of p? False Is 49 a factor of ((-13)/26)/(1/(-394))? False Suppose 3*i - 240 = -3*b, -5*i - 2*b + 408 = 8. Does 8 divide i? True Does 11 divide (2 - 13)/(4/(-8))? True Let r = -74 + 108. Let z = 16 + r. Is 17 a factor of z? False Let f(h) = 2*h**2 - 8. Is f(4) a multiple of 13? False Let z be (-23)/4 - (-5)/(-20). Does 7 divide 12 + z/(-6 + 3)? True Let k(l) = 4*l**2 + l - 2. Let i be k(-2). Let b be 82/i + 1/6. Suppose -2*r + 43 - b = 0. Is 9 a factor of r? True Suppose 25 + 8 = 3*y - 4*l, 6 = -2*l. Suppose -2*o = -y*o + 150. Does 10 divide o? True Let m = 137 + -58. Let k = m + -47. Suppose -4*u + k = 3*w - 2*w, 5*w - 2*u = 94. Does 8 divide w? False Let x = -8 + 11. Let s be 30/(-4)*(-2)/x. Suppose s*q = 33 + 157. Is q a multiple of 19? True Let j = 57 - 15. Is 14 a factor of j? True Let w = 13 + -8. Suppose 3*y - d = 18 + 13, -w*d = -3*y + 23. Is y a multiple of 7? False Let p = 87 - 213. Let k = -196 - p. Let s = -38 - k. Is s a multiple of 13? False Suppose 5 = -f + 32. Does 6 divide f? False Suppose -6*f + 1700 = -22. Is f a multiple of 41? True Let g(q) = -q - 8. Let i be g(-8). Suppose i*a = -4*a. Suppose d - 5 = -a*d. Is d a multiple of 5? True Suppose 8*j = -0*j + 152. Does 7 divide j? False Suppose 5*i + 6*v - v = 275, -v = -3*i + 165. Is i a multiple of 11? True Suppose -6 + 3 = -f. Suppose 3*u + f*w = 138, 2*u = -u + 2*w + 118. Does 18 divide u? False Let k(m) = -m + 15. Let t be k(0). Suppose 0 = 5*z - o - t, 0 = z + 2*o - 5 - 9. Is z a multiple of 4? True Does 7 divide (-16)/20*(-15 - 0)? False Suppose 2*k - 2*x - 34 = 0, -2*k + 16 = 4*x - 6. Does 9 divide (-2)/(-15) + 268/k? True Suppose -16 = -5*g - 0*z - 3*z, 0 = z - 2. Suppose -3*p + 17 = -g*d + 3*d, 0 = -p + 3. Is 4 a factor of d? True Let z(c) = c**3 - 4*c**2 - 4*c - 5. Let j be z(5). Suppose j = 3*v - 2*v - 6. Does 6 divide v? True Suppose -4*j - 2*f = 20, j = -j + 2*f - 16. Does 7 divide (377/(-39))/(2/j)? False Let z = -15 - -17. Suppose 0 = z*a + 2*v - 0*v - 48, -2*a + 49 = 3*v. Is a a multiple of 9? False Let q(o) be the second derivative of -1/3*o**3 + 0 - o - 1/2*o**2. Does 4 divide q(-5)? False Suppose -2*p = -p - 4. Let w(i) = i**3 - 5*i**2 + 6*i. Does 5 divide w(p)? False Let n = -142 - -100. Let p(g) = -3*g**2 + 5*g + 4. Let q be p(4). Let x = q - n. Is 14 a factor of x? False Suppose -3*n = 2*r - 154, 63 = -2*n + 3*n + 3*r. Does 16 divide n? True Let b = 59 + -13. Is 6 a factor of b? False Let a(p) = -4*p**3 + 3*p**2 + 3*p + 2. Is 20 a factor of a(-2)? True Suppose 4*l = 2*g - 16, 4*l + 10 + 2 = 0. Does 12 divide (-2 - g*-19) + -3? False Let t(s) = -3*s + 7. Is t(-9) a multiple of 8? False Suppose 0 = 2*n - 10*n + 264. Is 31 a factor of n? False Suppose 0 = 4*a + 3*a - 98. Suppose 41 + a = u. Is 10 a factor of u? False Let j(l) = 4*l**2 + 3 + 10*l + 2*l**2 + 1 - 7*l**2. Is 2 a factor of j(10)? True Suppose -884 + 128 = -7*t. Is 36 a factor of t? True Let k(a) = 3*a. Let w be k(1). Suppose 4*j - 40 = -2*v - v, 35 = w*j + v. Does 13 divide j? True Suppose -2*l = 4*i - 8 - 0, -3*l = -2*i + 12. Let x = 5 + l. Suppose 2*r + 4*a - 12 = 0, -3*r - a = x*a - 22. Is r a multiple of 4? False Let z be 40/6 - 12/18. Does 13 divide (-2)/(-6) - (-232)/z? True Suppose -4*s + 5 = 4*t - 31, -2*s + 22 = 3*t. Let y(g) = -2*g + 6. Let h be y(5). Is ((-102)/h)/(s/10) a multiple of 18? False Let u = 1 - -259. Is 52 a factor of u? True Suppose -5*m + 71 = 2*x + 11, 4*x = 2*m + 72. Does 20 divide x? True Suppose -4*m + i = -i + 18, 3*m - 5*i + 17 = 0. Let f = 6 - m. Is f a multiple of 4? False Let r(k) = 5*k - 5*k + 2 - 1 - 7*k**3. Is r(-1) a multiple of 8? True Let h = -29 + 10. Let a = h - -33. Is a a multiple of 14? True Let x(g) = 5 - 6*g - g**2 + 2*g - g. Let r be x(-6). Does 24 divide (-3 + -34)*r*1? False Let p(w) = -3*w + 36. Is 25 a factor of p(0)? False Is (-77)/(-1) + (-5)/(35/(-21)) a multiple of 16? True Let w = -11 - -14. Suppose 3*f + 2*z = w*z + 64, -48 = -2*f + 2*z. Does 5 divide f? True Suppose -4*b + 3 = -3*b. Suppose 0 = 4*s - 39 - 861. Suppose -b*a - 2*a + s = 0. Is a a multiple of 22? False Is 278*(4 - (-21)/(-6)) a multiple of 23? False Is 6 a factor of (27/(-5))/((-39)/130)? True Let j be 1/2*-2*-76. Suppose -m = 3*m - j. Is 19 a factor of m? True Suppose 2*n - 5 = 1. Suppose -2*h + t = -4, -n*h - h - 2*t + 8 = 0. Let w(x) = 6*x**3 - x**2 + 2*x - 2. Does 23 divide w(h)? True Suppose 29 = -2*s + 221. Suppose -6*f = -2*f - s. Is 12 a factor of f? True Suppose 10 = -4*d - 18. Let z be 2/d - (-32)/14. Suppose 24 = b + z*x, -3*b - 4*x + 5*x + 44 = 0. Is 8 a factor of b? True Let z(q) = q**3 + 3*q**2 + q + 1. Let b be z(-2). Let g be (-10)/(((-8)/14)/2). Is -3 + 0 + b + g a multiple of 14? False Let b = 302 + -16. Is 13 a factor of b? True Let r(h) = h**2 - 6*h + 4. Let o be r(-5). Let j = -113 + 78. Let v = o + j. Is v a multiple of 12? True Suppose -4*b + 2*b + 224 = 0. Does 18 divide b? False Suppose -4*m + 2*m + 60 = 0. Does 7 divide m? False Let d = -12 + 15. Does 16 divide (-1)/(-3) - (-80)/d? False Let k(w) = 3*w**2 - w + 1. Let c(f) = 10*f**2 - 4*f + 4. Let l(o) = -2*c(o) + 7*k(o). Let d = 4 - 9. Is 8 a factor of l(d)? False Suppose 145 = 2*f + v, 5*f + 9*v - 364 = 6*v. Is 8 a factor of f? False Let s = 93 - 24. Is s a multiple of 22? False Suppose 20*b - 22*b = -60. Is b a multiple of 30? True Suppose 1 - 6 = -r. Is 8 a factor of 318/30 - (-2)/r? False Let y = -4 - -5. Let n = 10 + y. Suppose -n = -g - 0*g. Is 8 a factor of g? False Let q(m) = 19*m - 5. Does 11 divide q(2)? True Let k = 28 + 17. Let t = 3 + 0. Suppose 0*r = -t*r + k. Does 12 divide r? False Suppose -2*t + 0*t = -o + 86, 231 = 3*o + 3*t. Suppose -r = 6*v - v - o, 5*r - 64 = -4*v. Is v a multiple of 8? True Let w(x) = 2*x**2 - 7*x + 2. Let m be w(4). Does 10 divide 116/m + 4/6? True Let t = -59 + 95. Is t even? True Suppose -331 + 67 = -3*k. Is k a multiple of 15? False Suppose 5*i - 5*o - 80 = 0, 2*o = 12*i - 7*i - 71. Is i a multiple of 3? False Let u be (-2 + 1)*2 + 1. Let w(z) = -6*z**3 - z**2 + 1 - 3*z**3 - 2*z**3. Is w(u) a multiple of 11? True Let m be (-4)/(-6) + (-16)/6. Is 12 a factor of m*(-1)/1 + 15? False Let q = 321 + -141. Is 12 a factor of q? True Let a = 6 - 4. Suppose -a*v = 3*m + 3*v - 5, 5*m - 4*v = -41. Let z(d) = -2*d. Is z(m) a multiple of 10? True Suppose -5*f - 3*l + 63 = 0, 4*f + 1 = -3*l + 52. Is f a multiple of 4? True Let c = 68 + -53. Let l(w) = 5*w**2 + 3*w + 3. Let g be l(3). Let s = g - c. Is s a multiple of 20? False Suppose 3*s + 4*n = 5*s + 2, -4*n = 3*s - 47. Is s even? False Suppose -2*m + 2 = 3*o, 4*o + 2*m = 2*o. Suppose t + 1 = -o. Is 15 a factor of (-151)/(-5) + t/15? True Let j = 10 - 19. Let x = -4 - j. Suppose x*q + 5*r - 50 = 0, 4*q + 3*r = 5*q - 2. Is 3 a factor of q? False Let r(q) = -q**2 - 15*q + 12. Does 12 divide r(-15)? True Does 20 divide 15/(-30)*(-90 - 0)? False Let f(m) = -16*m - 1. Let t be f(-1). Let b be (-363)/(-2)*10/t. Suppose -3 + 2 = s, -b = -4*z + s. Is 16 a factor of z? False Suppose -11 = -2*z + 169. Is 30 a factor of z? True Let x(i) = i + 3. Let j be x(7). Suppose -94 = -4*m - 5*f, -4*f - f + j = 0. Is 11 a factor of m? False Let o(z) = z**3 + 9*z**2 - 9*z - 10. Is o(-8) a multiple of 10? False Suppose 24 = z +
{ "pile_set_name": "DM Mathematics" }
nder when 494257 is divided by 1653? 10 Calculate the remainder when 14175428 is divided by 3543779. 312 Calculate the remainder when 881168 is divided by 88094. 228 Calculate the remainder when 39957651 is divided by 106. 103 What is the remainder when 2375184 is divided by 5765? 4 What is the remainder when 1305717 is divided by 79? 5 Calculate the remainder when 405391 is divided by 7728. 3535 What is the remainder when 36493280 is divided by 12164418? 26 What is the remainder when 783938 is divided by 499? 9 What is the remainder when 883236 is divided by 55? 46 What is the remainder when 20934534 is divided by 28? 26 What is the remainder when 5418915 is divided by 1768? 1763 What is the remainder when 2430 is divided by 106? 98 What is the remainder when 1385189 is divided by 1174? 1043 What is the remainder when 6895194 is divided by 383066? 6 Calculate the remainder when 93398 is divided by 45531. 2336 What is the remainder when 2058335 is divided by 168? 167 Calculate the remainder when 56032 is divided by 52990. 3042 Calculate the remainder when 20320035 is divided by 25. 10 Calculate the remainder when 25359 is divided by 411. 288 Calculate the remainder when 148723 is divided by 20789. 3200 Calculate the remainder when 1012301 is divided by 2. 1 Calculate the remainder when 27386 is divided by 2954. 800 Calculate the remainder when 25105088 is divided by 1793220. 8 What is the remainder when 76780 is divided by 640? 620 What is the remainder when 95519927 is divided by 139649? 11 What is the remainder when 547758 is divided by 59? 2 Calculate the remainder when 24528190 is divided by 14211. 4 Calculate the remainder when 25075457 is divided by 44460. 17 What is the remainder when 178347 is divided by 4372? 3467 Calculate the remainder when 4179717 is divided by 354. 39 Calculate the remainder when 817494 is divided by 7299. 6 What is the remainder when 15722452 is divided by 967? 966 Calculate the remainder when 389557 is divided by 688. 149 What is the remainder when 33651895 is divided by 36? 31 What is the remainder when 15857993 is divided by 859? 853 What is the remainder when 167726 is divided by 55427? 1445 Calculate the remainder when 121849 is divided by 2592. 25 What is the remainder when 2863144 is divided by 17? 4 What is the remainder when 21777983 is divided by 2763? 17 What is the remainder when 9258669 is divided by 363? 354 What is the remainder when 3176287 is divided by 2040? 7 What is the remainder when 4719926 is divided by 911? 35 Calculate the remainder when 28451741 is divided by 183. 182 Calculate the remainder when 48097032 is divided by 2247. 2244 What is the remainder when 1260513 is divided by 69? 21 Calculate the remainder when 1713083 is divided by 1713055. 28 Calculate the remainder when 3878904 is divided by 64646. 144 What is the remainder when 755101347 is divided by 450? 447 Calculate the remainder when 217364 is divided by 5798. 2838 What is the remainder when 398194 is divided by 426? 310 What is the remainder when 36574 is divided by 2114? 636 What is the remainder when 3081306 is divided by 308127? 36 Calculate the remainder when 711016 is divided by 198. 196 Calculate the remainder when 171219 is divided by 3091. 1214 What is the remainder when 2588620 is divided by 225? 220 Calculate the remainder when 909895 is divided by 423. 22 Calculate the remainder when 1233630 is divided by 144. 126 Calculate the remainder when 959871 is divided by 31. 18 What is the remainder when 1424755 is divided by 22? 13 What is the remainder when 65679 is divided by 21889? 12 What is the remainder when 2046535 is divided by 898? 891 Calculate the remainder when 661317 is divided by 12717. 33 Calculate the remainder when 16742200 is divided by 120. 40 Calculate the remainder when 20935165 is divided by 563. 10 What is the remainder when 326957 is divided by 503? 7 Calculate the remainder when 4765714 is divided by 170204. 2 Calculate the remainder when 39710506 is divided by 4963813. 2 What is the remainder when 1402245 is divided by 38951? 9 What is the remainder when 336093783 is divided by 5103? 5100 Calculate the remainder when 171174 is divided by 202. 80 Calculate the remainder when 115377546 is divided by 143. 141 What is the remainder when 172587 is divided by 1268? 139 What is the remainder when 427335 is divided by 47473? 78 Calculate the remainder when 5977720 is divided by 76. 16 What is the remainder when 66605 is divided by 2078? 109 Calculate the remainder when 30977 is divided by 30747. 230 Calculate the remainder when 7847 is divided by 7404. 443 What is the remainder when 60613 is divided by 111? 7 Calculate the remainder when 1126602 is divided by 334. 20 Calculate the remainder when 46829855 is divided by 308. 303 Calculate the remainder when 11097 is divided by 3224. 1425 What is the remainder when 154699310 is divided by 1353? 1349 What is the remainder when 58255835 is divided by 29127851? 133 Calculate the remainder when 25661845 is divided by 622. 613 What is the remainder when 5497701 is divided by 85? 71 Calculate the remainder when 1447433 is divided by 412. 77 What is the remainder when 49761241 is divided by 21? 19 Calculate the remainder when 926358 is divided by 1434. 1428 Calculate the remainder when 1204150 is divided by 17708. 6 Calculate the remainder when 1099160 is divided by 2185. 105 What is the remainder when 15716283 is divided by 85? 38 Calculate the remainder when 384792799 is divided by 10. 9 What is the remainder when 112167 is divided by 56082? 3 Calculate the remainder when 237426 is divided by 237423. 3 What is the remainder when 16827991 is divided by 13648? 7 What is the remainder when 658527 is divided by 319? 111 Calculate the remainder when 117540112 is divided by 19. 13 Calculate the remainder when 69423 is divided by 6809. 1333 What is the remainder when 36934355 is divided by 40? 35 Calculate the remainder when 32059 is divided by 2294. 2237 What is the remainder when 1477882 is divided by 108? 10 Calculate the remainder when 11321178 is divided by 17. 11 Calculate the remainder when 6405864 is divided by 5048. 5000 What is the remainder when 68833 is divided by 2705? 1208 What is the remainder when 832024 is divided by 831962? 62 Calculate the remainder when 65603 is divided by 1673. 356 What is the remainder when 1739212 is divided by 505? 497 What is the remainder when 28507593 is divided by 7252? 7233 Calculate the remainder when 136121552 is divided by 71. 68 Calculate the remainder when 1513144 is divided by 84062. 28 What is the remainder when 37980 is divided by 2195? 665 What is the remainder when 1371916 is divided by 685884? 148 Calculate the remainder when 11381467 is divided by 1719. 1687 Calculate the remainder when 31941369 is divided by 25. 19 What is the remainder when 2167660 is divided by 2737? 2693 What is the remainder when 8165996 is divided by 1000? 996 What is the remainder when 698496 is divided by 139640? 296 What is the remainder when 609232 is divided by 873? 751 Calculate the remainder when 379407535 is divided by 367. 366 Calculate the remainder when 296343 is divided by 97664. 3351 Calculate the remainder when 284630 is divided by 850. 730 What is the remainder when 1856453 is divided by 533? 14 Calculate the remainder when 1267350 is divided by 105517. 1146 What is the remainder when 1764561 is divided by 46? 1 What is the remainder when 34315736 is divided by 5525? 5486 What is the remainder when 12025082 is divided by 162500? 82 Calculate the remainder when 485543 is divided by 598. 565 What is the remainder when 3481314 is divided by 5961? 90 What is the remainder when 949819 is divided by 3429? 3415 What is the remainder when 58292 is divided by 19291? 419 Calculate the remainder when 3128339 is divided by 922. 915 Calculate the remainder when 5377482 is divided by 210. 12 Calculate the remainder when 51470766 is divided by 118. 110 What is the remainder when 2402235 is divided by 114383? 192 What is the remainder when 567682594 is divided by 1794? 1792 What is the remainder when 70829037 is divided by 3505? 3502 Calculate the remainder when 235762876 is divided by 497. 489 What is the remainder when 2462 is divide
{ "pile_set_name": "DM Mathematics" }
-42 d Which is the closest to 622? (a) -2 (b) 0.04 (c) -10/61 b What is the closest to 0.1 in -78, 1718, -5, -0.5? -0.5 Which is the closest to -111? (a) 4 (b) 4.1 (c) 0.5 (d) -0.67 (e) -4 (f) 0.1 e Which is the nearest to 7? (a) -4 (b) -2/211 (c) -2/19 b What is the nearest to 0 in 39, 6/5, 113.5, 9? 6/5 Which is the nearest to 1/2? (a) -2.5 (b) 167 (c) 148 a Which is the nearest to -2.3? (a) -0.4 (b) -0.3189 (c) -1/3 a Which is the nearest to 0.1? (a) 1/4 (b) -0.6 (c) -104.76 a Which is the nearest to 7? (a) -2/11 (b) -258 (c) 2.46 (d) 4 (e) 2 d Which is the closest to -0.2? (a) 17/3 (b) -827 (c) 4 c Which is the closest to 12/7? (a) 3 (b) -3 (c) 0.2 (d) 2/9 (e) -4281 (f) 1/4 a What is the nearest to -1/6 in -0.1, -0.11, -26/9, 0.1, 332? -0.11 What is the nearest to -1 in 5/3, -5, 0.2, 2, -3030.2, 44? 0.2 What is the closest to -24 in 1/2, 5, 0, -0.08, -21/152? -21/152 Which is the nearest to -5? (a) -7.1 (b) -4 (c) -2 (d) 2/13 (e) -1/3 b What is the nearest to -1/4 in -115, -1/12, 0.05, 2.6, 3/4? -1/12 What is the closest to 8.13 in -1, -0.5, 3, 2/9, 20? 3 Which is the nearest to -7/6? (a) -8 (b) -36.2 (c) 0.2 (d) 2 c Which is the closest to 116? (a) -1/9 (b) 1/18 (c) 210 (d) 7 (e) 1/3 (f) 0.4 c Which is the nearest to 2/481? (a) -11339/4 (b) -1/10 (c) 0 c Which is the closest to 12? (a) 1 (b) -1.84791 (c) 1/11 a What is the nearest to 3/248 in 0, 55, -2, 118? 0 Which is the nearest to 1? (a) 0.12 (b) -2/7 (c) -6 (d) 560 (e) -1 a What is the closest to 53 in 0.1, 0.4, 57/157, -5? 0.4 What is the nearest to -3 in 2/5, 1, -14, 3, 630? 2/5 What is the closest to 277 in 0, 1/7, -1, -586? 1/7 Which is the closest to 2/3? (a) -2/7 (b) -1/3 (c) 4 (d) -13392 (e) 2 (f) 1 f Which is the closest to 4? (a) -1/3 (b) -64 (c) 80 (d) -9/17 a What is the closest to 40 in -14, 65, -5, -3, 2/11? 65 What is the closest to 6/11 in -19/6, -3, -0.063, 5? -0.063 Which is the nearest to 10? (a) 2/3 (b) 75 (c) 24 (d) 2 d Which is the closest to 0.1? (a) -136 (b) 65 (c) -81 (d) -23 d Which is the nearest to 2? (a) 1 (b) -6.7 (c) 332.9 (d) -3 a What is the nearest to -1 in -1644, -4, 10/1279? 10/1279 What is the closest to -7 in -3/5, 13, 26, -1? -1 Which is the nearest to 247? (a) 4 (b) -259 (c) 1/56 (d) -1 (e) -2 a Which is the nearest to 272? (a) 3/4 (b) -3/2 (c) 12 (d) -5 (e) 8/5 (f) 1 c Which is the nearest to 0.01? (a) -5/368 (b) 4 (c) 0.3 (d) 0.4 a Which is the nearest to 38? (a) -2/19 (b) 1462 (c) 12 c What is the closest to 6 in -0.4, 0, -98934, 1/6? 1/6 What is the closest to 0.1 in 1/16, 3/5, 3.4, 260? 1/16 What is the nearest to -14 in -6/7, -12, 0.0289? -12 What is the closest to -0.1 in -0.09, 1/40, -302819? -0.09 What is the nearest to -1/4 in -4, -0.0438, -5/5186? -0.0438 Which is the closest to 4754? (a) 2/11 (b) 4 (c) -0.2 b What is the nearest to -4/9 in -754/41, 5, -1, -2? -1 What is the nearest to 0 in 1/12, -5/2, -988, -1? 1/12 Which is the nearest to 0.3327? (a) -0.5 (b) 1 (c) 8 (d) -3 (e) -1 b What is the nearest to -3 in 1/2, 60/581, -0.04, 151? -0.04 What is the nearest to -1/3 in -3, -0.4, -2/11, 4, 618/55? -0.4 Which is the closest to 10/3? (a) -1362 (b) -5 (c) 3 (d) -4 (e) 2/7 c What is the nearest to 10 in 4, 131, -36, 1, -2? 4 What is the closest to -2/3 in 2.3, -4955, -4? 2.3 What is the closest to -98/3 in -108, 0.21, -3? -3 What is the closest to -2/5 in 15438/17, 1/7, 0, 5, 8? 0 Which is the nearest to -0.3? (a) -1 (b) 1959 (c) 3520 a What is the nearest to 8 in 0, -2/15, 3/4487? 3/4487 Which is the nearest to 0.05? (a) -2/11 (b) -130760/43 (c) -4 a What is the closest to 2 in -2/7, -2/239, 22.39? -2/239 Which is the nearest to -1/3? (a) 21.2 (b) 3 (c) -137 (d) -0.2 (e) -1 d Which is the nearest to 3/7? (a) -2/5 (b) 122 (c) -3 (d) 0.05 (e) -7/6 d What is the closest to -6.5 in -6, 12/13, -2/57? -6 Which is the nearest to -1/4? (a) -0.067 (b) 2/17 (c) 156.4 (d) -22/7 (e) -2 a What is the closest to -43/3 in -0.04, 2/253, 8, -2.7? -2.7 What is the nearest to 0.2 in 257, -59, 16, -1? -1 Which is the closest to 141? (a) 39 (b) 2 (c) 0.3 (d) -33.9 a Which is the closest to 1? (a) 2 (b) -7/54 (c) -2/17 (d) 0.23 (e) -3 d Which is the nearest to -0.1? (a) -1/6 (b) 0 (c) 3/25 (d) -155/14 a Which is the closest to 5459614? (a) -3 (b) 3/4 (c) -3/5 b What is the closest to 3 in 2, 3, 0.073, 2/27, -1/2? 3 Which is the closest to 0.3? (a) 0.014 (b) 7 (c) 4/5 (d) 1197 (e) -5 a What is the nearest to -425 in -2, -0.4, 249/5? -2 Which is the nearest to -0.97945? (a) 3/4 (b) 18.4 (c) -6 a What is the nearest to -20 in 8, 83, -14, 2/17, 1/8? -14 What is the nearest to -3 in 8, -0.2, -327, -54? -0.2 What is the nearest to 2/5 in -1/7, 3/8, 386/20505, -1? 3/8 Which is the closest to 38? (a) 208 (b) -4 (c) 4 (d) 1 (e) 30 (f) -1/4 e What is the nearest to 1 in 0.4, 2/7, -2098778? 0.4 What is the nearest to 0 in 0.2, -113/6, -1/9, 3? -1/9 What is the closest to 761 in 2/3, 4/5, 2/11, 5? 5 What is the closest to 1/3 in -3/31, -5, 2, -3/76? -3/76 What is the nearest to 1343 in -909, 2, -1? 2 Which is the nearest to 117? (a) 0.1 (b) 0.36318 (c) -1/2 b Which is the closest to -0.2? (a) 2 (b) -18477 (c) 148 (d) -2 (e) -1/4 e Which is the closest to 0.04? (a) 5 (b) 0.2 (c) -103 (d) -2 (e) -120510 b What is the nearest to 6/13 in 14, 0.1, -3, -5, 216? 0.1 Which is the nearest to 1.7? (a) -1/2 (b) -2 (c) -1125 (d) -3 (e) -136 a What is the nearest to -44/3 in -0.2, 1376, 2, -2/9, -2/3? -2/3 What is the nearest to 0.07 in 4, -2/205, 31/6, -4? -2/205 What is the nearest to -2 in -4, 1/5, 0.0257, 0.04, -0.07, 3/8? -0.07 What is the nearest to -2 in 838, 2/11, -44? 2/11 Which is the closest to 0.1? (a) -10/27 (b) -26 (c) 2 (d) -2/5 (e) -4 a What is the nearest to 0.85 in -1, 15, 1/4, 0, -1182? 1/4 What is the nearest to -29/20 in -5, -1, 1, -3? -1 What is the nearest to -0.094 in 3/13, 0.1, -37/3, 1? 0.1 What is the closest to 0 in -67/5, 0.3, -2/15, 0? 0 What is the closest to -1 in 1, -1, -3/2, -165, 2628/53? -1 Which is the nearest to 1? (a) -1272 (b) 0.5 (c) -4438 b What is the nearest to -89 in 20, -0.925, 0, -0.1? -0.925 Which is the nearest to -2/15? (a) -8876.2 (b) -3/31 (c) 0.7 b Which is the closest to 0.3? (a) 3/5 (b) -2 (c) -0.04 (d) -1336 (e) 0.2 e What is the nearest to -1 in -3, -86770, -5/6? -5/6 Which is the closest to 9? (a) -39.9 (b) -12 (c) 2 (d) -2 (e) -4 c What is the nearest to -2 in 1/7, 1, -486.7, 5, 4, -3? -3 Which is the nearest to 0.08? (a) -4/3 (b) -20764 (c) 0.02 (d) -0.04 c What is the nearest to -70 in 5, -1.6, -4/3, -0.04, 0? -1.6 Which is the nearest to 99/8? (a) 0.1 (b) -1 (c) -0.5 (d) -0.3 (e) 3/8 (f) -22 e What is the closest to 2/9 in -11334, 0.009, 2/9? 2/9 Which is the nearest to -3527? (a) -1/7 (b) -1 (c) -2 (d) 6 (e) -9 e What is the closest to -1 in 2/17, 0.1, 0.5, -140, 47366, -3? 0.1 Which is the nearest to -2.3? (a) -5 (b) -128.5 (c) 4 (d) 2 (e) 3 (f) -280 a What is the nearest to -3/2300 in -0.3, -0.2, 5, 1/3, -4/9? -0.2 Which is the nearest to 10/9? (a) 0.6 (b) 1/2 (c) -0.5 (d) 1/415 (e) -1 (f) -2/59 a Which is the closest to 126? (a) -0.0613 (b) -2 (c) -10 a Which is the closest to 0.1? (a) 1/3 (b) 151.77 (c) -3/8 (d) -0.5 (e) 5 (f) -10 a Which is the closest to 6.09? (a) 18 (b) -5 (c) 2/15 (d) -0.03 (e) -10 (f) 1/3 f Which is the nearest to 0.1? (a) 2/3 (b) 21/11 (c) -19/7 (d) -5 a What is the closest to -615 in 4/9, -5, -44, 9, -0.1? -44 Which is the closest to 0.4? (a) 327 (b) -2/5 (c) 63 (d) -2 (e) -4 b Which is the closest to 3433? (a) -1/4 (b) -2.62 (c) 1 (d) 0.2 c Which is the nearest to 0.012? (a) 5 (b) -2/63 (c) 0.3 (d) 0 (e) 784 d Which is the closest to 1? (a) 62.8 (b) 2/7 (c) 4 (d) 1 (e) 9 d What is the closest to 1/5 in 13, 1/3, -3/2, -0.41? 1/3 Which is the nearest to -2? (a) -17660 (b) -1/4 (c) -0.05 b Which is the nearest to 2? (a) 3 (b) -214 (c) 24/5627 (d) 5 a What is the closest to 3.31 in -5, -26.38, -10? -5 What is the closest to -2/33 in 4/9, -12, -21/4, -2? 4/9 What is the closest to 2/23 in 203/10, 1/3, 0.1, 0.3? 0.1 Whic
{ "pile_set_name": "DM Mathematics" }
+ (-4)/(-18). Let b = 12 + i. Let l be (-7)/(b/(-6) - 0). Calculate the highest common factor of l and 28. 14 Suppose -246 = -4*h + 3*u, -2*h - 4*u = h - 172. Suppose 0*i + 15 = i. What is the highest common divisor of h and i? 15 Let o(m) = 17*m**2 - 4*m + 3. Let s be o(2). Calculate the highest common factor of s and 9. 9 Suppose 2*i - 120 = 7*i. Let m = 37 + i. Calculate the greatest common factor of m and 143. 13 Let j(v) = -v**3 - 8*v**2 - 9*v - 10. Suppose 2 = 5*w + 37. Let l be j(w). Calculate the highest common divisor of l and 12. 4 Let f(k) = -k**2 - 5*k + 2. Let w be f(-7). Let d = -7 - w. Calculate the greatest common divisor of d and 15. 5 Let g be 1/(-3) + (-136)/(-3). Let d be -42 + 42 + (-1)/(2/(-30)). Calculate the highest common divisor of d and g. 15 Let f = -5 - -5. Let s be f - -8 - 0/(-4). Suppose 4*h = o + 101, s*h - 4*h = -o + 91. What is the greatest common factor of h and 36? 12 Let j = 161 + -89. Calculate the highest common factor of j and 12. 12 Suppose -28 = -p - 3*p. Let m be ((-12)/5)/(p/(-350)). Calculate the greatest common factor of m and 15. 15 Let j(a) = a**2 - 2*a + 10. Let w be j(7). Let h be 1 - 2 - (-4 - 2). Calculate the highest common divisor of w and h. 5 Let r be (-1)/(2/(-6 + 2)). Let u be 1/(-1*(-1)/4). Suppose 3*k - 49 = -v + 16, -u = 4*v. What is the greatest common divisor of r and k? 2 Let s(i) = i**2 - 3*i + 7. Let g be s(7). Let q(h) = h**2 + 6*h + 5. Let o be q(-6). Calculate the greatest common divisor of g and o. 5 Let c be (13/2)/(8/48). Calculate the greatest common divisor of c and 13. 13 Let h = -3 + 5. Let a be (-2)/(-2)*(3 - -2)*2. Calculate the highest common divisor of h and a. 2 Let b = 12 - 7. Suppose 0 = -4*a - 17 + 57. What is the greatest common divisor of a and b? 5 Let k(j) = j**2 + 4*j - 6. Let y be k(-5). Let q be -3 + (7*-2)/y. Calculate the highest common factor of q and 22. 11 Let j be (-170)/(-7) - (-8)/(-28). What is the highest common divisor of 120 and j? 24 Let t = -11 - -11. Let o be t + 0 + 3 + 27. What is the highest common factor of 10 and o? 10 Let a = -11 - -15. Suppose -a*p + 20 + 0 = 0. Suppose -3*s - p*f + 124 = 0, -2*f - 64 + 206 = 4*s. What is the greatest common divisor of s and 22? 11 Let r(t) = t**3 - 2*t**3 + 6*t**2 + 1 + 5 - 6*t. Let c be r(4). Let o be (-4)/c - 153/(-21). What is the greatest common divisor of o and 14? 7 Let b = -20 + 26. Let p = 6 + 9. What is the highest common factor of b and p? 3 Let r be (-41)/(-2) - 2/(-4). Let a = -9 - -13. Suppose -5*v - 5 = 0, a*k + 0*v - 13 = v. Calculate the highest common divisor of r and k. 3 Let w = -97 - -163. Let t = -66 + 72. Calculate the highest common divisor of t and w. 6 Suppose 4*v = 2*i - 12, -3*i - i = -v - 52. Suppose -2*u + 28 = 6*r - 3*r, u = -r + 14. Calculate the highest common factor of u and i. 14 Suppose 5 - 2 = m. Suppose 0 = m*c + 22 - 58. Calculate the greatest common factor of c and 48. 12 Let p = 17 + 9. Calculate the highest common factor of 234 and p. 26 Suppose -183 = -3*v - 2*j + 185, -j = 5*v - 604. Calculate the highest common divisor of 48 and v. 24 Let g(b) = -1 + 0 - 3*b + 1. Let n be g(-1). What is the highest common divisor of 2 and n? 1 Suppose 120 = 17*g - 14*g. Suppose -11 = 2*k - 1, 4*k = -h - 4. Calculate the highest common factor of g and h. 8 Let s(i) = -i**2 - 10*i - 10. Suppose -35 = -0*j + 5*j. Let g be s(j). What is the greatest common factor of g and 88? 11 Suppose v = 2*w - 1, -4*w + 7*w = 4*v - 6. Suppose -v*j = -30 + 6. What is the greatest common divisor of 64 and j? 8 Let q be (-146)/(-6) - (-6)/9. Suppose a = 2*a - q. What is the greatest common factor of a and 10? 5 Suppose 36 = 3*l + l. Let d = 35 + 46. Calculate the highest common divisor of l and d. 9 Let d = -1 - -5. Suppose -28 = -4*t - 2*j, -d*t + 5*j - j = -52. What is the highest common factor of 3 and t? 3 Let j(c) be the first derivative of c**2/2 + 1. Let p be j(7). Let t = 14 - p. What is the greatest common factor of 63 and t? 7 Let w(l) = -l**2 - 26*l + 16. Let k be w(-26). Calculate the highest common divisor of k and 144. 16 Let w be 5 - (-2 + -1 + 4). Suppose 5*y - 24 + w = 0. Let c be (-2)/y + 42/4. Calculate the greatest common factor of c and 30. 10 Let y(b) = b**2 + 3*b - 3. Let a be y(-4). Let n be 2 + -4 + a + 7. Let u be (-12)/(n/45*-3). Calculate the highest common divisor of u and 5. 5 Let a be 35/3 - 1/(-3). Let x = 15 - 13. Suppose -78 = -3*p + x*y - 28, -2*p + 3*y = -30. Calculate the greatest common factor of p and a. 6 Let j(q) = -q + 5. Let r be j(3). Suppose 0*w - 1 = -w. Let k be (w - r)*-2 + 232. What is the highest common factor of k and 26? 26 Suppose 4*c - 4*t + 2*t - 12 = 0, -c + 5*t = 15. What is the greatest common divisor of c and 20? 5 Suppose 45 = -4*w + 49. Suppose -7 - 8 = 3*v, -24 = i + 5*v. Calculate the highest common factor of i and w. 1 Let n be ((-244)/20)/(-1) + 1/(-5). Calculate the greatest common factor of 12 and n. 12 Let k = 86 + -59. Suppose 5*y - 92 = -k. Calculate the greatest common factor of y and 26. 13 Let z(r) = r**2 - 7*r + 2. Let m be z(7). Suppose 0 = m*i - 8. Suppose 2*a = 7 + 1. Calculate the greatest common divisor of i and a. 4 Let g = -16 + 25. Let k(p) = -34*p + 1. Let m(n) = 35*n - 2. Let a(s) = 3*k(s) + 2*m(s). Let w be a(-2). Calculate the highest common factor of g and w. 9 Let o(n) = n**3 + 8*n**2 - 3*n + 3. Let z be o(-9). Let r = -35 - z. What is the highest common divisor of r and 112? 16 Let z(u) = 4*u**3 - u**2 + 3*u. Let p be z(2). What is the highest common factor of p and 306? 34 Let d = 91 - 60. Let b = d - 11. Calculate the highest common divisor of b and 4. 4 Suppose 3*f - 96 = 174. Suppose -f = -4*i + 2*i. What is the greatest common factor of 9 and i? 9 Suppose 3*p = -4*z + 162, 3*p - 3*z + 108 = 5*p. What is the highest common divisor of p and 12? 6 Let q be ((-6)/(-2))/((-3)/(-10)). Let m = q - 7. Calculate the greatest common divisor of m and 21. 3 Suppose -13*t = -7*t - 150. What is the highest common divisor of 25 and t? 25 Let t(g) = -3*g - g**3 - 7*g**2 - 3*g + 0*g + 7 + g. Let v be t(-6). Suppose -2*c + v = -c. What is the greatest common divisor of 8 and c? 1 Suppose c + 2*c - 5*x - 156 = 0, -44 = -c - x. Suppose 0 = 2*y + 2*s - 3*s - c, -5*s = 3*y - 103. Calculate the greatest common factor of 104 and y. 26 Suppose 2*f - 4*n = 10, 0 = -3*f + 11*n - 7*n + 17. Let k be 169/3 - (-2)/(-6). What is the greatest common factor of k and f? 7 Let s = -13 - -8. Let d(p) = 2*p + 11. Let q be d(s). Let m be -1 - (1 + 1*-11). What is the highest common divisor of m and q? 1 Let w = -5 - -15. Calculate the highest common divisor of w and 25. 5 Let v(s) = s**2 + s + 3. Let l be v(3). Suppose -2*n + 103 = d, n - 5*n = -4*d + 424. What is the greatest common factor of d and l? 15 Suppose 0*n = 3*n - 84. Suppose -9 = -w + 5. Calculate the highest common divisor of w and n. 14 Suppose 18 = -4*x + 222. Suppose -g = 3*a - x, g + a + 0*a = 47. Calculate the greatest common divisor of g and 5. 5 Suppose 0 = -2*n + 3 + 1. Suppose n*j = j + 10. What is the highest common factor of 30 and j? 10 Let z(x) = -x**2 - 8*x. Suppose 0 = -5*m + 13 + 7. Suppose m = -q - 1. Let o be z(q). Calculate the greatest common divisor of o and 60. 15 Suppose 4*o - 18 = -2*x, 2*o + 6*x = x + 13. What is the greatest common divisor of 20 and o? 4 Let m(h) = -9*h**3 - 3*h**2 - 7*h - 13. Let x be m(-3). Calculate the greatest common factor of x and 32. 32 Let c be 5/((-10)/24) - 2. Let m be (-4)/c - (-376)/7. Suppose b = -19 + m. Calculate the highest common factor of 7 and b. 7 Let j(z) = 2*z**3 + z**2 + 3*z. Let h be j(3). Calculate the greatest common factor of 24 and h. 24 Suppose 2*j = -0*j + 24. Suppose 26 = p + 2. What is the greatest common factor of j and p? 12 Let a be -2*((-84)/(-8) - 3). Let m = -9 - a. Calculate the greatest common divisor of m and 30. 6 Suppose 3*j - 15 = 0, -4*j + 44 = 2*s + s. What is the highest common divisor of s and 32? 8 Let x = 8 + -5. Suppose c = -4*d + 3*c + 194, -3*c = x. Suppose -5*u + 70 = 5*w, 2*w + 4*u - 16 = 8*u. Calculate the highest common divisor of d and w. 12 Suppose -5*l = -15, 4*c = 2*l - 4 - 2. Suppose 5*m - m = c. Suppose m*i - 20 = -2*i. What is the greatest common factor of i and 4
{ "pile_set_name": "DM Mathematics" }
4*n + 4*v, 0*v + l*v + 9 = n for n. -3 Let v(q) = q**3 + 3*q**2 - 2*q - 4. Let l be v(-3). Let y(j) = j + 1. Let d be y(2). Suppose d*i = 2*i + l. Solve 31 = u + i*u - 4*b, -5*b + 5 = 5*u for u. 5 Let t = -1 + 0. Let c(y) = y + 1. Let n be c(t). Solve 0 = -2*a - 2*a + b + 17, -4*b - 20 = n for a. 3 Suppose -37*s + 36*s = -3. Solve 4*r - 8 = 0, 1 = s*g - 2*r - 1 for g. 2 Let c(d) = 4*d + 4 - 5*d - 8. Let p be c(-6). Suppose 5*k - i - 22 = 0, -4*i + 8 + 4 = 0. Solve 0 = -k*u + 3*t - 22, -3*u = p*t + 3*t - 14 for u. -2 Let z be 48/20 + 6/(-15). Solve 3*x - x = 5*f + 28, -z*f + 2*x - 16 = 0 for f. -4 Let u(t) = -2*t - 5. Let o be u(-4). Let h be (-68)/(-16) - o/12. Let z = -5 - -8. Solve -h*w + 20 = -5*v, -2 = 4*v - z*w + 14 for v. -4 Let w(p) = -3*p + 29. Let r be w(8). Solve -4*y = r*k - 12, -3*y - k = 1 + 1 for y. -2 Let w be (-18)/(-4) - 3/6. Solve 7 = -w*z + 5*b, -1 = -2*z + 3*b - 2*b for z. 2 Suppose 2*q - 9 - 7 = 0. Suppose 0 = 5*i + 2*f - 88, 0 = 2*i - 3*f - q - 12. Solve 2*z - 4*n - i = 0, -4*z + 4*n + 5 + 15 = 0 for z. 2 Suppose 4*g = -0*g. Suppose g*z + z = 2. Solve 2*v + s = 4*s - 16, -z*v = s + 8 for v. -5 Let b(g) = g**2 - 13*g - 9. Suppose 0 = -4*m + 19 + 37. Let a be b(m). Solve -5*f + 2*u - 14 = -2*f, -4*f = a*u + 11 for f. -4 Suppose 4 = 3*x - 2. Let t be -12 - ((-6)/(-3) - 2). Let u = t - -24. Solve 3*m + v = -u - x, -18 = 3*m + 3*v for m. -4 Let j(w) = -w**3 - 8*w**2 + 9*w + 2. Let l be j(-9). Solve 3*t = l*i + 3, 0 = 2*i + 4*t - t - 3 for i. 0 Suppose 5*n - 3 = f, -5*f + n = 6*n - 15. Suppose f*l - 5*l = -99. Solve -g = -3*v + 17, -5*v = -5*g + g - l for v. 5 Suppose i - 6*i = w - 7, 7 = 2*i - w. Solve -5*p + 30 = 4*y, -p + i*y + 7 = 3*y for p. 2 Let s = 2 + 7. Let w be (s/(-6))/((-15)/20). Solve -3*p = -r - 13, -r - w*p = -6*p + 17 for r. -1 Let p be 1 + -1 + -2 + 1. Let a = 4 - p. Solve -4*w - 26 = 3*b, a = -3*w - 10 for b. -2 Let f(c) = -3*c - 7. Let i be f(-4). Solve -2*o - 2*w - 6 = 0, -o + i*o - 2*w = 0 for o. -1 Suppose -2*b - 10 = -b - 3*n, n + 27 = -2*b. Let w = b + 36. Suppose -4*g = -w - 29. Solve 2*x + 3*x + m = -24, 3*x + 2*m = -g for x. -5 Let d be 2 - (-2 + 0 - -5). Let b = 6 + d. Solve -h - 4*h - 13 = -2*z, -4*h - 24 = -b*z for z. 4 Let o(y) = 2*y**2 - 12*y + 2. Let g be o(6). Solve q = g*x, 2 = 4*x - 9*x + 3*q for x. 2 Let p = -21 - -23. Solve -2*r - 3*r + 25 = 5*y, -2*r - p = -2*y for r. 2 Suppose -1 + 4 = 3*j. Let c be j/((-1)/(-9)) - -2. Solve 17 = -3*n + 4*b, 2*n - 3*n = -4*b + c for n. -3 Let c(v) = -3*v - 1 + 0 + 4*v. Let s be c(-5). Let u be (-16)/s + (-12)/18. Solve w - u = 2*d + 2, -4*w + 16 = 5*d for d. 0 Let c(s) = s**2 - 2*s - 2. Suppose -8*i + 3*i - 20 = 0. Let f be c(i). Suppose 6 = -4*r + 2*a + 20, -5*r = -a - f. Solve -n - 18 = 3*o, 0 = 2*o - o + r for n. -3 Let t be -5 - -5 - (-4 - 1). Let g be (-2)/6*1*-39. Suppose -f + g = -t. Solve 0 = -3*o + q - f, -2 = o + 4*q - 9 for o. -5 Let q(a) = 2*a**2 + 9*a + 9. Let g be q(-4). Solve 5*d - g = -2*r - 0, -d = -3 for r. -5 Suppose 3*f + 31 = -5. Let p = -8 - f. Suppose -j - 5*g = -22, 0*j + 4 = -2*j + 2*g. Solve 0 = 3*t + u + p, j*t + 2*t + 16 = 4*u for t. -2 Suppose -3*t - 1365 = 5*n, 8 - 28 = -4*t. Let p be n/(-66) + (-2)/11. Solve -3*j - s + 6*s - 20 = 0, -p*j - 4*s = 16 for j. -5 Suppose 2*l = 3*l. Solve 4*j - 2 = -2*k, l = -j - k + 2 - 0 for j. -1 Let i be 6/(-27) - (-104)/(-18). Let z be (-2)/(-2)*i/(-3). Solve 6 = -z*t, 5 + 7 = -2*h - 4*t for h. 0 Let i(y) = y**2 - 3*y. Let b be i(5). Solve 0 = -2*k - b, 0*q + 5*k = -2*q - 29 for q. -2 Suppose 0 = -4*k + 21 + 23. Solve -v = -1, 3 = 2*g + 4*v - k for g. 5 Suppose -19*l = -26*l + 35. Solve -l*g - 4*k = 3, 6 = 3*g - g - 2*k for g. 1 Suppose 0 = -2*f - 3*f + 105. Let g = -15 + f. Let x be (3/6*g)/1. Solve -3*w = -x*m - 6, -4*w - 18 - 2 = 3*m for w. -2 Suppose -9*z = -59 - 148. Solve z = -5*v - 2*t, 0 = -v + t - 7 + 1 for v. -5 Let c be -1 + 2 + 5 + -3. Let j be (-1 - 1) + 6/c. Let q be -3 - j - (-6 + -2). Solve -q*p = 2*h - 10, -p - 5 = 2*p - h for p. 0 Suppose 0 = 3*p - 2 + 2. Solve p = 2*o - 3*v + 16, 3*o + 5*v = o for o. -5 Suppose 8*g + 32 - 64 = 0. Solve 2*d = 3*o - 1, d - 3*o = -g*o + 2 for d. 1 Suppose 2*n + 1 = i - 9, 2*i + 3*n = 41. Let m(s) = -s. Let c be m(4). Let r = i + c. Solve -5*k = 3*u - 37, 0 = -k + 5*k - 2*u - r for k. 5 Let x(s) = -s**3 - 2*s**2 + 2*s - 2. Let m be x(-4). Let j be -1 + 4 - (4 + 4/(-1)). Let o = m + j. Solve 3*h = -15, 9*u - 4*u = -5*h - o for u. 0 Suppose 1 = -3*i + 7. Suppose 5*b = 4*t + 15, -b + 3*t + t = -3. Solve -2*h - b*o = -i + 7, -o - 1 = 0 for h. -1 Let b = -3 - -7. Let j = -16 - -16. Suppose -a + 5 = -j*a. Solve 3*f + 15 = i + f, -a = b*i + 5*f for i. 5 Let a(t) be the second derivative of t**5/20 + t**4/6 - t**3/6 + 2*t. Let j be a(1). Suppose 4*g - 25 + 5 = 0. Solve g*v - 2 = p + 2*p, p - 3*v = -j for p. 1 Let q = 3 - -2. Suppose 15 = 2*l + q. Solve -2*w - 2 = 2*g + 2*w, -3*w = -2*g + l for g. 1 Suppose 2*o + 2 = 3*o. Let p be (2/7)/(o/14). Solve -2*c + p*d = 2, 6*c + 17 = c - d for c. -3 Let l(q) = -q**3 - 3*q**2 - 2*q - 1. Let d be l(-3). Suppose -8*b + d = -7*b. Solve m - 5*v + 32 = 4*m, 0 = -b*m - v + 24 for m. 4 Suppose b = 6 - 1. Solve 2*q - 4*v - 20 = 0, 4*v - 7 + 27 = b*q for q. 0 Let g be (-9)/9*-1*1. Suppose -u + 4*z + 4 = 0, u + 2*z - g + 3 = 0. Solve 2 = 3*m - m + 5*t, 4*m - 5*t + 26 = u for m. -4 Let p(d) = d**3 - d**2 + d - 9. Let u be p(0). Let g = -6 - u. Solve -h - 13 = g*t, -t + 3 = -4*h - 10 for t. -3 Let a(u) = -u**3 - u**2 - 2*u + 32. Let v be a(0). Solve 11 = -5*c - 2*l - 1, 5*c = 3*l - v for c. -4 Let p(i) = i**3 - i**2 + 5. Let x be p(0). Suppose x*o = 4*w - 6, w = 4*o + 2*w - 12. Solve 4*t - 4 = -4*y, -2 = 7*t - 3*t + o*y for t. -2 Suppose 4 = -2*y + 8. Solve 2*i - 4*t = 12, -2 - y = t for i. -2 Let t = 4 + -1. Let d be (1/(-2))/(2/8). Let w be -3 - (d - (0 - -6)). Solve t*s + 2 = w*c, 0 = -s + 6*s - 5 for c. 1 Let z(c) = 2*c. Let h be z(8). Solve 2*u + 3*b - h = -0*b, 3*u - 11 = 2*b for u. 5 Suppose 2*s + 4*j = 20, -s - 4*j - 1 = -19. Solve -4*z = -s*y, 14 = -z - 2*y - y for z. -2 Suppose -3*z + 4*d + 43 = 0, -3*z = 3*d - 15 - 0. Let j = 14 - z. Solve -5 = 2*h - j*m, -2*h + 5*h = m + 12 for h. 5 Let b be (-1 + 1 - -1)*1. Let y(i) = -2*i - 9. Let s be y(-6). Let p = 8 - s. Solve p*j - b = -3*w - 16, 4*w + 3*j = -9 for w. 0 Suppose -3*w = w - 32. Solve 4*k + 12 = 4*t, 3*k + w = 2*t + 1 for t. 2 Suppose 0 = -18*s + 14*s. Solve s = -4*t - t + 2*p + 16, -2*p = 5*t - 4 for t. 2 Let h(g) = -2*g + 3. Let p be h(4). Let i = 16 + p. Suppose -3*c = -4 - i. Solve -2*r + 28 = -5*q, -c*q - 4 = 3*r + 4 for r. 4 Let t(j) = j**2 - 4*j - 7. Suppose 18 = 7*o - 4*o. Let d be t(o). Let a be 1/2 + 78/4. Solve 4*w = 3*r - a, -r = -d*w - 4*r + 2 for w. -2 Let w be (3/(-6))/(2/12). Let g be 2*(1 + w/(-2)). Solve -g*i = -5*o + 20, 2*i + o = 5*o - 10 for i. -3 Let h(v) = 2 + v - 1 - 4 - 2. Let s be h(7). Solve 0 = -4*g + j - s*j - 10, -3*g - 8 = j for g. -2 Suppose -4*w - j + 9 = 0, 4*w - 7 = 5*j - 4. Suppose 2*d = 4*z - 4, -3*z - w*d = -5*z. Suppose -7*s = -z*s - 15. Solve -3*m = -2*m - 2*x - 6, 3*x + s = 0 for m. 4 Let l be 6/((-3)/(-3))*1. Let z be 1*(l/3 + 0). Solve 0*n - 3*n + 9 = -g, -9 = -3*n + z*g for n. 3 Suppose -3*k = -7*k + 8. Let y be 3/(6/k) - 1. Suppose -33 = -5*w + f - y*f, -3*w - 2*f + 12 = 0. Solve 2*h + 2*z = w*z + 8, 0 = -2*h - 5*z + 8 for h. 4 Suppose -2*w = 4*a - 3*w + 23, a + 5*w + 11 = 0. Let r be 86/10 + a/10. Suppose -4*i + 5*o = -1, 4*i + 4*o + r - 36 = 0. Solve -k + f = 1, 8 = -i*f - 8 for k. -5 Let r(c) be the third derivative of -1/60*c**5 + 0*c - c**2 + 0 - 1/8*c**4 + 2/3*c**3. Let s be r(-3). Solve 3 = -s*z + 3*w - 1, 0 = z - 2*w + 6 for z. 2 Let m(c) = -c**3 + 10*c**2 - 15*c - 5. Let b be m(8). Solve -3*d + b*v = -0*d + 15, -2*d + v = 9 for d. -4 Let x be (-136)/(-22) - 4/22. Let n = x - 4. Let d be n - (-5 - (3 - 5)). Solve 3*c = 6*l - l + 6, 24 = -3*c - d*l for c. -3 Let j(n) = -n**3 - 11*n**2 + 6*n - 9. Let c be j(-12). Suppose -3 = 3*s - c. Solve -4*d - a + 16 = -0*a, s = 4*d + 2*a for d. 3 Let u(f) = -f**2 + 8*f - 7. Let t be u(7). Solve t*h + 2*h = -2*m - 6, -1 = 3*h - 5*m for h. -2 Suppose 0 = 4*z - 3*z - 3. Suppose 10 = 2*b + z*b. Solve b*l - 2*r + 8 = 2*r, -4*l - r + 20 = 0 for l. 4 Suppose 3*b = -3*w +
{ "pile_set_name": "DM Mathematics" }
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-313543 What comes next: -20208, -39998, -59372, -78330? -96872 What comes next: 833, 3119, 6887, 12149, 18917, 27203, 37019, 48377? 61289 What is next in -1370484, -2740974, -4111484, -5482020, -6852588, -8223194? -9593844 What comes next: 65778, 263043, 591812, 1052079, 1643838, 2367083, 3221808, 4208007? 5325674 What comes next: 14706, 58402, 131230, 233190, 364282? 524506 What is the next term in -5604, -5893, -6214, -6567, -6952, -7369, -7818? -8299 What comes next: 1486, 3642, 6462, 9946, 14094, 18906, 24382? 30522 What comes next: -2288156, -2287957, -2287758? -2287559 What is next in -44737, -89451, -134163, -178873, -223581? -268287 What comes next: -20, -183, -772, -2003, -4092, -7255? -11708 What is the next term in 373, -2941, -8463, -16193, -26131? -38277 What is next in -5805703, -11611400, -17417097, -23222794, -29028491? -34834188 What comes next: -26235, -26085, -25935, -25785, -25635? -25485 What is next in -220585, -218294, -214475, -209128, -202253? -193850 What is next in 52597, 105341, 158235, 211279, 264473? 317817 What is next in 162551, 162607, 162663? 162719 What comes next: -112896, -113192, -113488, -113784? -114080 What is the next term in -1319, -4999, -11129, -19703, -30715, -44159, -60029? -78319 What is the next term in -3649, -3715, -3873, -4177, -4681, -5439, -6505? -7933 What is the next term in 391521227, 391521222, 391521217, 391521212? 391521207 What is next in 1393, -188, -1733, -3236, -4691? -6092 What is next in -21989, -10018, 1953, 13924, 25895? 37866 What is next in -107551, -108290, -109521, -111244, -113459, -116166, -119365? -123056 What is next in -28634, -28640, -28642, -28640, -28634? -28624 What is next in 744022, 1488043, 2232060, 2976073? 3720082 What comes next: 889, 836, 757, 664, 569? 484 What is next in -10748, -14863, -18978, -23093, -27208, -31323? -35438 What is next in -2353, -5692, -10087, -15538, -22045? -29608 What comes next: -335, 1242, 5539, 13918, 27741, 48370, 77167, 115494? 164713 What is the next term in -219952, -219946, -219928, -219892, -219832? -219742 What is next in 1611503, 1611315, 1611127, 1610939? 1610751 What is next in 220955, 441934, 662913? 883892 What is the next term in -715572, -2862429, -6440516, -11449827, -17890356, -25762097, -35065044? -45799191 What comes next: 305, 165, -235, -1039, -2391? -4435 What is the next term in 3134, 5952, 8768, 11582? 14394 What comes next: 16963686, 33927380, 50891088, 67854810, 84818546? 101782296 What is the next term in -83489, -167742, -251995, -336248? -420501 What is next in -45746, -45149, -44542, -43919, -43274, -42601, -41894? -41147 What comes next: -10848, -21625, -32454, -43359, -54364, -65493, -76770? -88219 What is next in -3586, -6670, -9738, -12784, -15802, -18786, -21730, -24628? -27474 What is next in -8395, -16837, -25319, -33841, -42403? -51005 What is the next term in -1766781, -3532894, -5299007, -7065120? -8831233 What comes next: -127197, -127548, -128125, -128922, -129933? -131152 What is the next term in 2970, 23727, 80232, 190359, 371982, 642975, 1021212, 1524567? 2170914 What is the next term in -14974, -30115, -45430, -60907, -76534, -92299? -108190 What is the next term in -8920, -35676, -80262, -142672, -222900, -320940, -436786? -570432 What comes next: 131359977, 262719955, 394079933, 525439911, 656799889? 788159867 What is next in -161673, -161625, -161527, -161367, -161133? -160813 What is next in 3716241, 14864970, 33446189, 59459898? 92906097 What is the next term in 4028911, 8058088, 12087265, 16116442, 20145619? 24174796 What is next in -10988, -21941, -32894, -43847, -54800, -65753? -76706 What is next in 7925, 60443, 202985, 480563, 938189, 1620875, 2573633, 3841475? 5469413 What is the next term in -2187, -17219, -58033, -137523, -268583, -464107, -736989? -1100123 What is next in -108495, -432333, -971517, -1726047, -2695923, -3881145? -5281713 What comes next: 56555433, 56555443, 56555453, 56555463, 56555473? 56555483 What is next in 2452, 19715, 66626, 158023, 308744, 533627, 847510, 1265231? 1801628 What comes next: 226493212, 452986423, 679479636, 905972851? 1132466068 What is the next term in -1276
{ "pile_set_name": "DM Mathematics" }
ommon factor of 1275 and 75? 75 What is the highest common factor of 126 and 1218? 42 Calculate the greatest common factor of 188 and 104. 4 Calculate the highest common divisor of 44 and 869. 11 What is the highest common factor of 442 and 170? 34 Calculate the highest common factor of 3 and 351. 3 What is the greatest common divisor of 22 and 594? 22 What is the greatest common factor of 22 and 3? 1 Calculate the greatest common factor of 282 and 1316. 94 Calculate the highest common divisor of 736 and 23. 23 Calculate the highest common divisor of 10 and 1190. 10 What is the highest common factor of 56 and 11032? 56 What is the highest common divisor of 11522 and 14? 14 Calculate the greatest common divisor of 416 and 32. 32 Calculate the greatest common divisor of 48 and 768. 48 Calculate the highest common divisor of 2 and 122. 2 What is the greatest common factor of 25 and 965? 5 Calculate the greatest common factor of 14544 and 36. 36 Calculate the highest common factor of 408 and 1479. 51 Calculate the highest common divisor of 539 and 196. 49 Calculate the highest common divisor of 30343 and 19. 19 Calculate the greatest common divisor of 60 and 48. 12 What is the greatest common factor of 3658 and 62? 62 What is the greatest common divisor of 999 and 37? 37 What is the highest common factor of 828 and 184? 92 Calculate the greatest common divisor of 874 and 38. 38 Calculate the highest common divisor of 11 and 121. 11 What is the greatest common factor of 18 and 171? 9 Calculate the highest common factor of 28519 and 1083. 361 Calculate the greatest common factor of 291 and 9. 3 What is the greatest common divisor of 12 and 192? 12 What is the highest common divisor of 288 and 102? 6 What is the greatest common divisor of 3 and 1782? 3 What is the highest common divisor of 369 and 9? 9 What is the greatest common factor of 3 and 111? 3 What is the highest common divisor of 135 and 999? 27 What is the highest common factor of 6534 and 378? 54 What is the highest common factor of 21 and 1701? 21 Calculate the highest common divisor of 79 and 4. 1 Calculate the greatest common factor of 96 and 60. 12 What is the greatest common divisor of 130 and 30? 10 Calculate the highest common divisor of 6852 and 12. 12 Calculate the greatest common divisor of 142 and 781. 71 What is the greatest common divisor of 2627 and 71? 71 What is the greatest common divisor of 136 and 352? 8 Calculate the highest common factor of 160 and 20. 20 Calculate the highest common factor of 37 and 74. 37 What is the highest common factor of 882 and 1422? 18 Calculate the greatest common divisor of 51 and 1020. 51 What is the highest common divisor of 68 and 1156? 68 What is the highest common divisor of 102 and 40902? 102 Calculate the highest common factor of 330 and 24. 6 What is the highest common divisor of 3741 and 232? 29 Calculate the highest common divisor of 3 and 129. 3 What is the highest common factor of 20850 and 300? 150 What is the highest common factor of 1765 and 10? 5 Calculate the greatest common divisor of 56 and 2436. 28 What is the greatest common factor of 9 and 12? 3 What is the highest common divisor of 10062 and 546? 78 What is the greatest common factor of 132 and 4191? 33 Calculate the highest common divisor of 228 and 48. 12 Calculate the greatest common factor of 51 and 6. 3 Calculate the greatest common factor of 24 and 10536. 24 Calculate the highest common divisor of 17 and 799. 17 What is the highest common factor of 88 and 1298? 22 Calculate the greatest common factor of 8946 and 355. 71 Calculate the greatest common factor of 37 and 1. 1 What is the highest common factor of 232 and 16? 8 Calculate the highest common divisor of 42 and 336. 42 What is the highest common divisor of 6767 and 202? 101 What is the highest common factor of 80 and 245? 5 Calculate the greatest common divisor of 1728 and 90. 18 Calculate the greatest common divisor of 6600 and 375. 75 Calculate the highest common factor of 560 and 1540. 140 Calculate the highest common factor of 7 and 13349. 7 What is the greatest common divisor of 16 and 11648? 16 What is the highest common divisor of 30 and 435? 15 Calculate the greatest common factor of 128 and 56. 8 Calculate the greatest common factor of 161 and 441. 7 What is the highest common divisor of 3439 and 76? 19 Calculate the highest common divisor of 344 and 1. 1 Calculate the greatest common factor of 12031 and 1135. 227 Calculate the greatest common factor of 7945 and 35. 35 What is the greatest common divisor of 328 and 902? 82 Calculate the greatest common factor of 675 and 1080. 135 What is the highest common factor of 418 and 44? 22 What is the greatest common factor of 12350 and 39? 13 What is the highest common divisor of 135 and 1728? 27 Calculate the highest common divisor of 957 and 22. 11 Calculate the greatest common factor of 87 and 725. 29 What is the highest common factor of 10 and 110? 10 Calculate the greatest common factor of 88752 and 86. 86 What is the greatest common factor of 8675 and 100? 25 What is the greatest common divisor of 2476 and 8? 4 Calculate the highest common factor of 2091 and 102. 51 Calculate the highest common factor of 108 and 4. 4 What is the highest common factor of 31 and 32? 1 Calculate the highest common factor of 216 and 24. 24 What is the greatest common divisor of 679 and 7? 7 What is the highest common factor of 9 and 2529? 9 Calculate the greatest common factor of 5290 and 1610. 230 Calculate the greatest common divisor of 2263 and 31. 31 What is the greatest common factor of 18 and 1986? 6 Calculate the highest common factor of 152 and 38. 38 What is the greatest common factor of 27 and 7? 1 Calculate the highest common divisor of 153 and 171. 9 Calculate the highest common factor of 468 and 324. 36 Calculate the highest common divisor of 15 and 85. 5 What is the highest common divisor of 4 and 196? 4 Calculate the greatest common divisor of 56 and 616. 56 What is the greatest common factor of 54 and 72? 18 Calculate the highest common divisor of 52 and 26. 26 What is the greatest common factor of 5 and 65? 5 What is the highest common divisor of 11 and 891? 11 Calculate the greatest common divisor of 121 and 4598. 121 Calculate the greatest common divisor of 4171 and 1649. 97 Calculate the highest common divisor of 69629 and 203. 203 What is the greatest common divisor of 754 and 406? 58 What is the highest common divisor of 18 and 1125? 9 What is the highest common divisor of 10744 and 34? 34 Calculate the highest common factor of 17 and 493. 17 What is the highest common factor of 298 and 8791? 149 What is the greatest common factor of 329 and 7? 7 Calculate the highest common factor of 29 and 551. 29 What is the greatest common factor of 30 and 480? 30 Calculate the greatest common factor of 972 and 8. 4 What is the greatest common divisor of 11 and 7? 1 Calculate the highest common factor of 21 and 49. 7 What is the greatest common factor of 1582 and 28? 14 Calculate the greatest common factor of 24 and 152. 8 Calculate the highest common divisor of 9 and 72. 9 Calculate the highest common factor of 121 and 22. 11 What is the highest common factor of 4 and 60? 4 Calculate the highest common divisor of 154 and 166. 2 Calculate the highest common divisor of 294 and 539. 49 What is the highest common divisor of 760 and 266? 38 What is the greatest common divisor of 119 and 1071? 119 What is the highest common factor of 104 and 858? 26 What is the highest common factor of 98 and 2? 2 Calculate the highest common divisor of 78 and 1599. 39 What is the highest common divisor of 34 and 697? 17 Calculate the greatest common divisor of 68 and 34. 34 Calculate the highest common divisor of 14 and 7896. 14 Calculate the highest common factor of 216 and 732. 12 What is the greatest common divisor of 78 and 520? 26 What is the highest common factor of 170 and 221? 17 Calculate the highest common divisor of 82 and 123. 41 Calculate the highest common factor of 179 and 16468. 179 What is the highest common divisor of 520 and 2560? 40 What is the highest common factor of 3 and 933? 3 What is the highest common factor of 339 and 86784? 339 What is the highest c
{ "pile_set_name": "DM Mathematics" }
142044? 2142045 Which is bigger: 54818 or 54799? 54818 Which is greater: 0.1 or -496999? 0.1 Are 58572 and 58572 unequal? False Which is greater: -8255198/3 or -2751732? -2751732 Is 78279 less than 78279? False Is -88 >= 40298? False Is -65557 less than -9? True Is -1/119077 at least as big as 1? False Which is smaller: 425378 or 425387? 425378 Do 2 and 4566/2971 have different values? True Which is bigger: -99771 or 26? 26 Which is bigger: -1321/90 or -15? -1321/90 Which is smaller: 1 or -4/16759? -4/16759 Is -58069 equal to -58067? False Is -8237 smaller than -8239? False Which is greater: 17.44 or 1.1? 17.44 Is 6/733459 at least as big as 0? True Which is greater: 15 or 4576/327? 15 Which is bigger: 5/401157 or 1? 1 Do -14463 and 49 have the same value? False Is 6/622055 greater than -1? True Is -2/528871 > 0.1? False Is 7920 bigger than 31679/4? True Is 131033 < 131034? True Which is bigger: 182 or -2234? 182 Is 43 at most 3030? True Which is bigger: -2497/51 or -50? -2497/51 Is -1 > 7/7918? False Is -3/424 greater than or equal to 402? False Do 1 and -22/615535 have the same value? False Which is bigger: -38 or 6? 6 Which is smaller: -3/8 or 16576? -3/8 Which is smaller: -118012 or 2? -118012 Which is smaller: -0.4 or -7.6264? -7.6264 Which is smaller: 2/41857 or 1? 2/41857 Is 1174/341 at least as big as 4? False Is 9822/119 < 84? True Which is bigger: -6124/317 or -20? -6124/317 Is 17519/76 smaller than 231? True Which is smaller: -2.373 or 98? -2.373 Which is smaller: 5/621 or -5? -5 Is -674487 not equal to 2/5? True Is -12688 >= -38068/3? True Is 0 != 63470? True Is -21789 greater than 0.2? False Which is greater: 90954 or 90939? 90954 Which is smaller: 30 or -2614? -2614 Which is smaller: -1/2 or -1597793? -1597793 Which is smaller: -3/7 or -7423? -7423 Which is greater: 2 or 1505/522? 1505/522 Is -2403 greater than or equal to -2310? False Is 25236 greater than -15? True Is 76 at least as big as -1370? True Which is greater: 22866 or 0.07? 22866 Is -30641 smaller than -30637? True Does 89340 = 89333? False Which is bigger: -31176 or -31167? -31167 Is -185184 bigger than -185183? False Which is bigger: 1869 or 1877? 1877 Is -1 at least as big as -90/81881? False Which is smaller: 35661/32 or 1115? 35661/32 Which is greater: -9464 or -9482? -9464 Which is smaller: -426846 or -426845? -426846 Is 52299 at least as big as 52279? True Which is bigger: -11/22265 or 1? 1 Which is smaller: 0.0011 or -20/41? -20/41 Does -6990 = -6991? False Which is bigger: 70.684 or -0.2? 70.684 Which is greater: 3894/485 or 9? 9 Which is greater: -59/112948 or 0? 0 Which is smaller: 0 or -1/121968? -1/121968 Which is greater: -7592 or -7600? -7592 Which is smaller: 6/19 or 10039? 6/19 Which is smaller: 366.6 or -4? -4 Which is bigger: -328426 or -328425? -328425 Which is greater: 15/5581 or 1? 1 Is -1 at most 578/22579? True Which is bigger: -13212/5 or -2643? -13212/5 Which is bigger: 3987764 or 3987763? 3987764 Which is smaller: -1 or 1094129? -1 Is -119/502 at least as big as -0.017? False Is 84 at least 6550? False Are -3.7732 and -0.059 equal? False Which is greater: 605 or 69696/115? 69696/115 Is 6 > -0.128412? True Is -154120 smaller than -154120? False Which is smaller: -64/2065 or -1? -1 Which is smaller: 0.062462 or 3/8? 0.062462 Is -110059/13 greater than or equal to -8466? False Is 21731 at least as big as -6? True Which is bigger: 38080 or 38034? 38080 Is -1337 at least -877? False Which is smaller: 265411/2 or 132706? 265411/2 Is -13303 at least as big as -13300? False Is -21399 > -21403? True Is -14746/29 smaller than -509? False Is 1 at most -9/98687? False Which is smaller: -3168 or -3170? -3170 Is 4254096 < 4254097? True Is -6050 greater than or equal to -18148/3? False Are 0 and 69/11842 nonequal? True Which is smaller: 10 or -2524? -2524 Which is greater: -28175.6 or -10? -10 Is -115.8 > -5/14? False Are -5 and -964/195 non-equal? True Which is smaller: 2/3 or 80/31? 2/3 Are 8027/42 and 190 nonequal? True Is 1 at most as big as -355/1614? False Which is bigger: 271 or -0.003? 271 Is -84568 >= -84579? True Which is greater: 4/3 or 3/12580? 4/3 Is -2 less than or equal to -150227? False Is 0 less than 147/2465? True Is 5 > 60319? False Which is smaller: -4933 or 0.08? -4933 Which is bigger: 0.4429 or -2/175? 0.4429 Is -252945 less than or equal to -252948? False Is -3434 smaller than -3441? False Which is smaller: -92968 or 1/26? -92968 Is -120310 != -120311? True Is 1 greater than -2/8710331? True Which is greater: -39630 or 49? 49 Are 41796/119 and 351 non-equal? True Is 0 > -6/41881? True Which is bigger: -13697 or -260242/19? -260242/19 Which is smaller: -27.7 or -1/249? -27.7 Which is smaller: 1344656 or 1344657? 1344656 Which is greater: 3.79 or 0.0161? 3.79 Which is greater: -1160 or -15071/13? -15071/13 Which is smaller: -47/10627 or 1? -47/10627 Are -614 and -589 equal? False Is -6115/1836 at least as big as -3? False Do -36066 and -36065 have the same value? False Is -1 not equal to -198/14771? True Is 585 at least 179? True Which is smaller: 3/19 or -18184? -18184 Is -2/210059 less than or equal to 1? True Is 209.361 <= 0? False Which is greater: 17820 or -0.39? 17820 Which is smaller: 67/5 or 2/103? 2/103 Is 0 >= 76/17299? False Is 1772 < 33680/19? True Which is smaller: 991 or 1029? 991 Do 263218/3 and 0.2 have the same value? False Is 228883 at most as big as 228883? True Which is smaller: -1 or -1/70200? -1 Is -3850 at most -3852? False Which is smaller: 59369 or 1068619/18? 1068619/18 Which is smaller: -4 or 4445? -4 Is 2 <= 14664? True Which is smaller: -568 or -669? -669 Are 80678/5 and 16136 unequal? True Which is bigger: -0.1 or 11564/3? 11564/3 Which is bigger: 28457/7 or 4064? 28457/7 Is -32189 not equal to -32189? False Is -925/1197 at least as big as -2? True Which is smaller: 4370 or 4249? 4249 Which is smaller: -6/2709773 or 0? -6/2709773 Is -65198/311 not equal to -211? True Is 274805 smaller than -2/7? False Which is bigger: -6283/52 or -2/7? -2/7 Is 84213 at most 84212? False Which is bigger: 1/65559 or 1? 1 Is -1/13 >= 859? False Is 620 greater than or equal to 639? False Which is smaller: -485378 or -485384? -485384 Is 247 smaller than 63? False Is 27 greater than or equal to -19? True Which is smaller: -36706 or -36701? -36706 Which is smaller: 33114 or 42? 42 Is -2/11 smaller than -8867? False Does -3729 = -3027? False Is -444 < 575? True Are 9 and 1071/128 unequal? True Which is bigger: -7014 or -7009? -7009 Which is greater: 10/1118593 or 1? 1 Is -31622/3 greater than or equal to -10541? True Which is bigger: 0 or -5/39746? 0 Is -13153.1 != 9? True Are -516367 and -516368 unequal? True Is 0 less than or equal to 1/33482? True Is -17 bigger than -1729/96? True Is -9064 less than -9074? False Which is smaller: 4220 or -1/6? -1/6 Which is bigger: -403 or 979/4? 979/4 Are 2.267 and 122 equal? False Which is smaller: 127/5582 or 0? 0 Is 341355 less than or equal to 341355? True Is 32/12375 at most -1? False Is 314846 greater than or equal to 314846? True Which is bigger: 0 or 8/50149? 8/50149 Is 393864 >= -0.14? True Which is bigger: -1029 or 114? 114 Which is bigger: 25751/7 or 3680? 3680 Is -55489 at most as big as -55485? True Which is smaller: 3 or 1409/431? 3 Which is greater: 166805 or 1/2? 166805 Does -2/3 = 28.947? False Is 5243 < 5563? True Which is smaller: -5/14 or -43771? -43771 Which is smaller: 151064 or 151066? 151064 Is 19602 >= 19601? True Which is smaller: 38785 or 38788? 38785 Which is smaller: 543833 or 543832? 543832 Which is greater: 3/4 or 104631? 104631 Which is smaller: -2575889 or -0.2? -2575889 Is 0 less than 1/140096? True Is -21084/109 <= -192? True Is 108952 less than or equal to 108952? True Which is smaller: 3402/11 or 29? 29 Which is smaller: 9576/25 or 383? 383 Which is smaller: 131826 or 131837? 131826 Which is greater: 1 or 7/63305? 1 Is 5/8899 smaller than 1? True Is 0 bigger than 447/2917? False Which is greater: 0.9 or -176657? 0.9 Which is smaller: -3710 or -37109/10? -37109/10 Which is bigger: 0.5 or 454? 454 Is 2/765 less than -0.618? False Which is bigger: -2/75 or -7753? -2/75 Which is smaller: 61365 or 61370? 61365 Is -591717 > -591719? True Which is greater: -3
{ "pile_set_name": "DM Mathematics" }
1026831250*f**2*p**2 - 456*f**2*p - 4847*f*p + 6*p wrt p. -2053662500*f**2 What is the third derivative of -1963*q**5 - q**4*r - 58*q**3*r - 14384809*q**2*r wrt q? -117780*q**2 - 24*q*r - 348*r Find the second derivative of 4728*k**5 + 32137*k**4 - 913680523*k wrt k. 94560*k**3 + 385644*k**2 Find the third derivative of 33*f**2*u**3 + f**2*u**2 + 1530*f**2*u + 51*f**2 + 72543*f*u**3 + f*u**2 + 23*u**2 wrt u. 198*f**2 + 435258*f What is the derivative of 78*i**4*j - 121224*i*j - 338719*j - 32 wrt i? 312*i**3*j - 121224*j Find the second derivative of 1077*g**3 - 1124*g**2 + 21543688*g. 6462*g - 2248 What is the third derivative of 6*g**5*y**2 + 569875*g**3 + 148252*g**2*y**2 + g**2*y + 2*g*y**2 - 3*g + y**2 wrt g? 360*g**2*y**2 + 3419250 What is the second derivative of 54676498*q**4 + 2*q + 35244204? 656117976*q**2 What is the first derivative of 2*q**3 + 58312080*q**2 - 104302647? 6*q**2 + 116624160*q What is the second derivative of -2*m**3*o**2 - 9*m**2*o**2 - 600948*m**2 - 245023454*m*o**2 wrt m? -12*m*o**2 - 18*o**2 - 1201896 Differentiate 318100647*s**4 + 10406035 with respect to s. 1272402588*s**3 What is the first derivative of 4887758*q**2 - 6666834? 9775516*q Find the second derivative of 2*a**2*u**5 + 14551783*a**2*u**2 + 4*a**2*u - a**2 + 512*a*u + 40*a - u wrt u. 40*a**2*u**3 + 29103566*a**2 What is the first derivative of -1394*s**2*y + s**2 + 2913899*s + 951*y**2 + 2 wrt y? -1394*s**2 + 1902*y What is the third derivative of -19033*l**5 - 36*l**4*u**2 - l**2*u**2 - 1245*l**2*u - 183*l*u**2 wrt l? -1141980*l**2 - 864*l*u**2 Find the third derivative of -11691028*n**3*q**2 + 27*n**2*q**2 - n*q**2 + 6365*q**2 wrt n. -70146168*q**2 Differentiate 20420*h*v + 1026407000*h - 1583*v**2 with respect to v. 20420*h - 3166*v Find the second derivative of -12396242*a*m**2*q**2 - 3*a*m*q**2 + 3*a*m*q - 2*a*q**2 - 750*q**2 wrt m. -24792484*a*q**2 Find the third derivative of -6*j**3*k**2 - 4935785*j**3*k - 2*j**3 - 47955*j**2*k**2 + 4804*j*k**2 wrt j. -36*k**2 - 29614710*k - 12 Find the second derivative of 5214694*f**5 - 3*f**3 - 3317*f - 9165. 104293880*f**3 - 18*f What is the first derivative of 89635604*b - 77725963 wrt b? 89635604 What is the derivative of 1464623*c*s - 430563*c - s**2 - 133 wrt s? 1464623*c - 2*s Differentiate r**4*t**2 + 12016039*r*t**2 + 11*t**2 - t - 11444 with respect to r. 4*r**3*t**2 + 12016039*t**2 What is the derivative of 2*v**3*x + 126*v**3 - 1948*v**2*x + v**2 + 3*v*x + 6*v - 2*x - 148 wrt x? 2*v**3 - 1948*v**2 + 3*v - 2 What is the second derivative of 134654*c*d*l**3 - 4*c*d*l**2 + 15*c*d*l - 3*c*d - c*l**2 - c*l + c - 2*d*l - 10397*d + 3*l wrt l? 807924*c*d*l - 8*c*d - 2*c Find the second derivative of 1012*k**2*y**2 - 154160*k**2*y + 23*k**2 - k*y**2 - 114*y**2 wrt y. 2024*k**2 - 2*k - 228 What is the third derivative of -148667864*v**5 + 108187009*v**2? -8920071840*v**2 What is the third derivative of -11043*g**6 + 160*g**5 + g**2 - 1426149*g wrt g? -1325160*g**3 + 9600*g**2 Find the second derivative of 6436628*p**2 + 1127*p - 603. 12873256 What is the second derivative of -33631430*k**3 - 9*k - 6224857? -201788580*k What is the second derivative of -9842621*z**2 - 5246628*z wrt z? -19685242 Find the second derivative of -881*p**3 - 149906*p**2 - 319874452*p wrt p. -5286*p - 299812 What is the second derivative of -99951*k**5 + 69*k**4 + 11484602*k? -1999020*k**3 + 828*k**2 What is the derivative of a*i*n**3 - 390*a*i*n**2 - 22983*a*i + 13*i*n**3 + 8*i*n**2 - 93*i*n + 4*n + 4 wrt a? i*n**3 - 390*i*n**2 - 22983*i Find the third derivative of -2*k**4 + 2255495*k**3 - 2726805*k**2 + 2. -48*k + 13532970 What is the third derivative of -28964811*w**3 - 42*w**2 - w - 31788? -173788866 Find the second derivative of -22972*a**5 + 360*a**3 + 55227*a + 102 wrt a. -459440*a**3 + 2160*a What is the third derivative of -3705234*j**3 - 3*j**2 - 208*j + 1163? -22231404 Find the third derivative of -44*r**3*u + 946429*r**3 - 45*r**2*u + 68*r**2 - 3*r*u + 2*r + 28*u wrt r. -264*u + 5678574 What is the third derivative of -363*l**3*z**3 - 307*l**3*z + l**3 + 2945*z**3 + z**2 - 511 wrt z? -2178*l**3 + 17670 What is the derivative of 2*t*v**2 + 30009*t*v + 6618189*t - v**4 + 3*v**2 wrt v? 4*t*v + 30009*t - 4*v**3 + 6*v What is the first derivative of -37854419*n - 15751303 wrt n? -37854419 What is the derivative of -3769776*d**3 - 4*d**2 - 69040728 wrt d? -11309328*d**2 - 8*d What is the second derivative of -16807824*m**2 - 20444736*m wrt m? -33615648 Differentiate -2024*h*l**2*r - h*r**2 - 7191*h - 5*l**2*r**2 + l**2*r - 2*l**2 - 178*l*r + 49*r**2 - 2 wrt h. -2024*l**2*r - r**2 - 7191 Find the first derivative of 27150553*w*z - w - 222664*z - 61 wrt w. 27150553*z - 1 What is the third derivative of h**4*o*s + 368*h**4*s + 1078*h**3*o - 3*h**2*o*s + 191*h**2*o - 15*h*o*s wrt h? 24*h*o*s + 8832*h*s + 6468*o What is the second derivative of 498231672*l**2*m**3 - 1691*l*m**3 + 3*l*m**2 + 2*l*m - 447*m**3 + m**2 wrt l? 996463344*m**3 What is the second derivative of 449*i**4 + 7284*i**3*o - 17*i*o + 2*i - o - 51566 wrt i? 5388*i**2 + 43704*i*o What is the third derivative of 287740215*l**3 - 7482*l**2 - 887*l wrt l? 1726441290 What is the second derivative of 8*n*q**2*z + 3*n*q*z**2 - 4155*n*q*z + 3785043*q**3*z**2 + 2*q**3 + z wrt z? 6*n*q + 7570086*q**3 What is the third derivative of 6579975*g**4 + 5*g**3 - 94360799*g**2 wrt g? 157919400*g + 30 Find the first derivative of 32285525*f**2*s + 5918293*f**2 - 1 wrt s. 32285525*f**2 What is the third derivative of -3884705*g**3 + 19*g**2 + 353*g - 40? -23308230 What is the third derivative of -104629908*q**3*x - 311*q**2*x - 77616*x wrt q? -627779448*x Find the third derivative of 4*k**3*p + 2771614*k**3 - 3*k**2*p - 34*k**2 - 334*p + 7 wrt k. 24*p + 16629684 What is the first derivative of 131*k**3 + k**2 - 7944*k + 13022723 wrt k? 393*k**2 + 2*k - 7944 Find the third derivative of -6111*i*t*v**3 - 2*i*t*v + 149*i*v**3 + 3*t*v**3 + 2*t*v**2 + 7228*v + 1053 wrt v. -36666*i*t + 894*i + 18*t Find the third derivative of 79932972*k**3 + 25661913*k**2. 479597832 What is the third derivative of 92954*x**5 + 2*x**3 - 2027*x**2 + 4543 wrt x? 5577240*x**2 + 12 What is the second derivative of -14267830*a*i**2 + a*i + 2*a - 28102*i - 6 wrt i? -28535660*a What is the third derivative of 3682*a*c*s**3 + 11*a*s**2 - 106*a*s + 2*a - 414*c*s - 2618*s**3 wrt s? 22092*a*c - 15708 Find the first derivative of -2088*i**2*m - 6*i*m - 91*i + 691672*m - 190 wrt i. -4176*i*m - 6*m - 91 What is the third derivative of 383*g**2*v**3*y**2 - 8782*g**2*v**3*y + g**2*v**2*y**2 - 5182805*g**2*y**2 wrt v? 2298*g**2*y**2 - 52692*g**2*y What is the second derivative of 182*i**2*k**2 - 75*i**2*k - 10*i**2 + 1222*i*k**2 - 728*i wrt i? 364*k**2 - 150*k - 20 What is the third derivative of 5*h**3*n + 2353431*h**3 + 147179*h**2*n - 2*h*n + 2*n - 1 wrt h? 30*n + 14120586 What is the third derivative of 8252542*a**3*o**3 - 7*a**2 + 35*a*o**3 + 2*o**3 - 9*o**2 - 1 wrt a? 49515252*o**3 What is the second derivative of 149562*i*w**3 + 472*i*w + 10*w**2 + 575*w - 2 wrt w? 897372*i*w + 20 Find the third derivative of -219*v**3*w**2 + 142*v**3*w*x + 530*v**3 - 7*v**2*x + 4830575*v*w**2*x + w**2 wrt v. -1314*w**2 + 852*w*x + 3180 Find the second derivative of 57875641*o*q**5 + o*q**2 - 97*o - 1957*q + 131 wrt q. 1157512820*o*q**3 + 2*o Find the third derivative of 27062*w**6 + 17*w**3 - 5*w**2 - 552036 wrt w. 3247440*w**3 + 102 Find the third derivative of a**3*j**3 + 708*a**3*j - 644*a**3 + 39*a**2*j + 2138*a*j**2 - j**3 wrt a. 6*j**3 + 4248*j - 3864 Differentiate -5847773*x**3 - 33009695 with respect to x. -17543319*x**2 Find the second derivative of -210866*g**2*p**2 + 42*g**2 + 2*g*p**2 + g*p + g - 6*p**2 - 2*p - 186 wrt g. -421732*p**2 + 84 Find the second derivative of 23227204*l**3*r - l**2 - 5*l*r - 12455742*l wrt l. 139363224*l*r - 2 Find the third derivative of -33*c**2*s**4 - 159006*c**2*s**3 - 4*c**2 - 1331139*s**2 wrt s. -792*c**2*s - 954036*c**2 Differentiate -16448603*k**2 - 39223859. -32897206*k What is the derivative of -2554*l*n*w - 340*l*n - l*w**2 - 1758*l + 2*n*w**2 + 12*w - 6 wrt n? -2554*l*w - 340*l + 2*w**2 What is the second derivative of 14791313*y**2 - 16061630*y? 29582626 Find the first deri
{ "pile_set_name": "DM Mathematics" }
t the prime factors of 5918. 2, 11, 269 List the prime factors of 24067. 41, 587 List the prime factors of 2170. 2, 5, 7, 31 What are the prime factors of 1305? 3, 5, 29 List the prime factors of 45012. 2, 3, 11, 31 List the prime factors of 2253. 3, 751 What are the prime factors of 14667? 3, 4889 What are the prime factors of 145? 5, 29 List the prime factors of 1136. 2, 71 List the prime factors of 5600. 2, 5, 7 List the prime factors of 14195. 5, 17, 167 What are the prime factors of 2089? 2089 What are the prime factors of 5166? 2, 3, 7, 41 What are the prime factors of 129374? 2, 7, 9241 What are the prime factors of 19973? 19973 What are the prime factors of 18723? 3, 79 List the prime factors of 9751. 7, 199 List the prime factors of 6189. 3, 2063 What are the prime factors of 539? 7, 11 List the prime factors of 1519. 7, 31 What are the prime factors of 40425? 3, 5, 7, 11 List the prime factors of 1610. 2, 5, 7, 23 List the prime factors of 2227. 17, 131 What are the prime factors of 5482? 2, 2741 What are the prime factors of 953? 953 List the prime factors of 25392. 2, 3, 23 What are the prime factors of 100590? 2, 3, 5, 7, 479 List the prime factors of 1327. 1327 List the prime factors of 2258. 2, 1129 List the prime factors of 66643. 66643 List the prime factors of 13643. 7, 1949 List the prime factors of 168. 2, 3, 7 What are the prime factors of 54935? 5, 10987 What are the prime factors of 2883? 3, 31 List the prime factors of 1661. 11, 151 List the prime factors of 1239. 3, 7, 59 What are the prime factors of 448? 2, 7 What are the prime factors of 1610? 2, 5, 7, 23 What are the prime factors of 2641? 19, 139 What are the prime factors of 8493? 3, 19, 149 What are the prime factors of 519? 3, 173 List the prime factors of 11048. 2, 1381 List the prime factors of 2278. 2, 17, 67 What are the prime factors of 5629? 13, 433 List the prime factors of 8168. 2, 1021 List the prime factors of 25521. 3, 47, 181 What are the prime factors of 1525? 5, 61 What are the prime factors of 984? 2, 3, 41 What are the prime factors of 2797? 2797 List the prime factors of 38284. 2, 17, 563 List the prime factors of 67087. 73, 919 List the prime factors of 36777. 3, 13, 23, 41 List the prime factors of 5749. 5749 What are the prime factors of 2877? 3, 7, 137 What are the prime factors of 4411? 11, 401 List the prime factors of 941. 941 What are the prime factors of 97426? 2, 7, 6959 What are the prime factors of 5643? 3, 11, 19 List the prime factors of 3980. 2, 5, 199 List the prime factors of 162. 2, 3 What are the prime factors of 11709? 3, 1301 What are the prime factors of 1770? 2, 3, 5, 59 What are the prime factors of 101660? 2, 5, 13, 17, 23 List the prime factors of 31380. 2, 3, 5, 523 What are the prime factors of 66046? 2, 33023 List the prime factors of 2375. 5, 19 List the prime factors of 1174. 2, 587 What are the prime factors of 704? 2, 11 List the prime factors of 6451. 6451 What are the prime factors of 15464? 2, 1933 List the prime factors of 75416. 2, 11, 857 List the prime factors of 16160. 2, 5, 101 What are the prime factors of 377? 13, 29 List the prime factors of 52457. 52457 List the prime factors of 424. 2, 53 What are the prime factors of 8796? 2, 3, 733 List the prime factors of 9428. 2, 2357 List the prime factors of 441. 3, 7 List the prime factors of 2520. 2, 3, 5, 7 What are the prime factors of 8980? 2, 5, 449 List the prime factors of 5190. 2, 3, 5, 173 What are the prime factors of 159342? 2, 3, 26557 List the prime factors of 2084. 2, 521 List the prime factors of 143882. 2, 71941 List the prime factors of 7220. 2, 5, 19 What are the prime factors of 571? 571 What are the prime factors of 1129? 1129 What are the prime factors of 7098? 2, 3, 7, 13 List the prime factors of 3708. 2, 3, 103 List the prime factors of 5996. 2, 1499 What are the prime factors of 11539? 11, 1049 List the prime factors of 3234. 2, 3, 7, 11 List the prime factors of 2894. 2, 1447 List the prime factors of 84865. 5, 11, 1543 What are the prime factors of 424? 2, 53 What are the prime factors of 54833? 54833 List the prime factors of 92309. 7, 13187 List the prime factors of 32628. 2, 3, 2719 List the prime factors of 2394. 2, 3, 7, 19 List the prime factors of 138758. 2, 69379 What are the prime factors of 74959? 74959 List the prime factors of 2225. 5, 89 What are the prime factors of 28696? 2, 17, 211 What are the prime factors of 608? 2, 19 What are the prime factors of 78133? 11, 7103 List the prime factors of 4134. 2, 3, 13, 53 What are the prime factors of 358? 2, 179 What are the prime factors of 4774? 2, 7, 11, 31 What are the prime factors of 688? 2, 43 What are the prime factors of 683? 683 List the prime factors of 27782. 2, 29, 479 List the prime factors of 14934. 2, 3, 19, 131 List the prime factors of 466. 2, 233 List the prime factors of 127890. 2, 3, 5, 7, 29 What are the prime factors of 241? 241 What are the prime factors of 86221? 151, 571 What are the prime factors of 1569? 3, 523 List the prime factors of 86. 2, 43 What are the prime factors of 123655? 5, 7, 3533 List the prime factors of 4280. 2, 5, 107 List the prime factors of 120228. 2, 3, 43, 233 What are the prime factors of 1126? 2, 563 What are the prime factors of 1467? 3, 163 List the prime factors of 37923. 3, 12641 List the prime factors of 5040. 2, 3, 5, 7 List the prime factors of 3884. 2, 971 List the prime factors of 13354. 2, 11, 607 List the prime factors of 3052. 2, 7, 109 List the prime factors of 1320. 2, 3, 5, 11 What are the prime factors of 1643? 31, 53 List the prime factors of 1742. 2, 13, 67 What are the prime factors of 213? 3, 71 What are the prime factors of 6317? 6317 What are the prime factors of 4764? 2, 3, 397 What are the prime factors of 15461? 15461 List the prime factors of 2795. 5, 13, 43 What are the prime factors of 631? 631 What are the prime factors of 138610? 2, 5, 83, 167 What are the prime factors of 6571? 6571 What are the prime factors of 1608? 2, 3, 67 List the prime factors of 4717. 53, 89 What are the prime factors of 23560? 2, 5, 19, 31 List the prime factors of 641. 641 What are the prime factors of 1026? 2, 3, 19 List the prime factors of 30988. 2, 61, 127 List the prime factors of 2603. 19, 137 What are the prime factors of 3931? 3931 List the prime factors of 627. 3, 11, 19 List the prime factors of 1592. 2, 199 What are the prime factors of 24163? 73, 331 What are the prime factors of 78? 2, 3, 13 List the prime factors of 17220. 2, 3, 5, 7, 41 What are the prime factors of 19150? 2, 5, 383 List the prime factors of 5280. 2, 3, 5, 11 List the prime factors of 36291. 3, 12097 What are the prime factors of 22860? 2, 3, 5, 127 What are the prime factors of 103243? 7, 43 What are the prime factors of 35928? 2, 3, 499 List the prime factors of 1386. 2, 3, 7, 11 What are the prime factors of 3161? 29, 109 What are the prime factors of 17898? 2, 3, 19, 157 What are the prime factors of 59290? 2, 5, 7, 11 What are the prime factors of 32295? 3, 5, 2153 What are the prime factors of 43221? 3, 14407 List the prime factors of 925. 5, 37 List the prime factors of 23304. 2, 3, 971 List the prime factors of 1972. 2, 17, 29 What are the prime factors of 1758? 2, 3, 293 List the prime factors of 1622. 2, 811 List the prime factors of 2299. 11, 19 List the prime factors of 14075. 5, 563 List the prime factors of 196438. 2, 11, 8929 List the prime factors of 1702. 2, 23, 37 What are the prime factors of 2788? 2, 17, 41 What are the prime factors of 2979? 3, 331 List the prime factors of 840. 2, 3, 5, 7 List the prime factors of 27974. 2, 71, 197 List the prime factors of 1421. 7, 29 List the prime factors of 9056. 2, 283 What are the prime factors of 228? 2, 3, 19 List the prime factors of 593. 593 List the prime factors of 1181. 1181 What are the prime factors of 11492? 2, 13, 17 What are the prime factors of 9428? 2, 2357 List the prime factors of 6960. 2, 3, 5, 29 List the prime factors of 24228. 2, 3, 673 What are the prime factors of 114? 2, 3, 19 What are the prime factors of 100951? 157, 643 List the prime factors of 2046. 2, 3, 11, 31 List the prime factors of 23110. 2, 5, 2311 What are the prime factors of 589? 19
{ "pile_set_name": "DM Mathematics" }
-39*o + 10. Let y be p(-10). Suppose -3*d = d - y. Suppose 4*r - d = -0*r. Is r a composite number? True Let n(d) = 425*d**2 - 5*d + 4. Let s be n(1). Let l = s + 19. Is l a prime number? True Let z(n) = 8*n - 10. Let j be z(4). Let m = j + 0. Is m composite? True Suppose 4*w + 5*s = w + 21, 4*w - 11 = -s. Suppose -762 - 1756 = -w*l. Is l a composite number? False Let o(n) = n**2 + n + 11. Let a(b) = b**3 + 7*b**2 + 7*b + 6. Let g be a(-6). Suppose g = -y - 4*y. Is o(y) composite? False Suppose c - 12 = -5*a + 3*c, 24 = 5*a + c. Suppose a*k = 3*k. Suppose 955 = 5*h - k*h. Is h a prime number? True Let v = 865 + 637. Is v a composite number? True Let p(u) = 517*u**3 - 2*u**2 - 19*u + 37. Is p(2) composite? False Let b(a) = -a**3 - a**2 + a + 921. Let c be (-6)/(-18) + -1*(-2)/(-6). Is b(c) a composite number? True Suppose -5*l + 24 = -2*l. Let g be 121 + l/(-5 - -1). Let h = -30 + g. Is h composite? False Let m = 38 - -13. Suppose 0 = -k - 52 - 24. Let j = m - k. Is j a prime number? True Suppose 0 = -5*n - 5*j + 15206 + 2974, 3642 = n - 5*j. Is n prime? True Let j = 50266 + -33537. Is j prime? True Let l(u) = -u**3 + 9*u**2 + 3*u + 8. Is l(7) prime? True Let u(q) = -q**2 + q - 1. Let t(j) = 25*j**2 + 12*j - 21. Let b(r) = t(r) - 4*u(r). Is b(10) a composite number? False Suppose -28*s - 5914 + 36182 = 0. Is s a prime number? False Let z(i) = i**2 + 3*i + 2. Let r be z(-2). Suppose 0*y - y + 4 = r. Suppose u + 285 = y*u. Is u prime? False Suppose 5*o + 2*o = 21. Suppose u + 5*q - 962 = -2*u, o*q - 954 = -3*u. Is u a prime number? False Suppose 4*l + 4*x = 2436, 4*l - 3*x - 1586 = 878. Is l prime? True Let r(f) = 0 + 8*f**2 + 5 - f**3 - 8*f - 4. Let i be r(7). Let c(d) = -6*d - 5. Is c(i) a composite number? False Let x(u) = 468*u - 29. Is x(2) a composite number? False Let z = 20205 - 12338. Is z prime? True Let f(a) = -12*a + 1. Let w = -19 + 20. Let m be f(w). Let r(h) = -h**3 - 11*h**2 - 7*h + 12. Is r(m) a prime number? True Let g(n) = -n + 647. Suppose 2*b + p - 10 = 5, -2*b + 2*p + 18 = 0. Let l(r) = 2*r - 16. Let x be l(b). Is g(x) a prime number? True Is (58 - 68) + (-1 - -3676) a prime number? False Let h(k) = -k**3 + 66*k**2 - 122*k + 43. Is h(62) a prime number? False Suppose 0 = -6*w - 3287 + 9581. Is w a composite number? False Let v = -10 + 13. Suppose 7 = 5*j - v. Suppose 2*u + u = -j*m + 118, 5*u = 0. Is m composite? False Suppose 2*t = d + 6 - 2, -3*t + 2*d + 7 = 0. Let b(y) = -y + 11 - t - 3. Is b(-6) prime? True Let a(y) = 3*y**3 - 16*y**2 + 55. Is a(12) composite? True Let q = -13 + 33. Is (75/q)/((-9)/(-348)) a composite number? True Let y be 1*(-12)/4 + 3. Suppose 0 = -y*t - t - 8. Is 638/12 + t/48 a prime number? True Let u(c) = c**3 - 10*c**2 + 11*c - 11. Let k be u(9). Suppose -b - 2 = -k. Suppose g + 1204 = b*g. Is g prime? False Let y be (-1 - -3)/(1/10). Suppose -6*w + y = -w. Suppose 0 = w*d + 2*c - 6*c - 28, -2*d = -4*c - 16. Is d a composite number? True Let v = -38 + 43. Suppose 4*r + v*m = 2676, 0*m + 3*m + 2708 = 4*r. Is r composite? True Suppose 55624 = 5*y - 2*h + 3133, 5*h = 5*y - 52485. Is y a composite number? False Let b = 12 - 15. Is (-9)/b + 34 - 0 a prime number? True Let f(d) = 8*d - 10. Let z be f(10). Let n = z - -27. Is n a prime number? True Let m(w) = w**3 + 50*w**2 - 199*w - 67. Is m(-53) prime? True Let m = 10929 + -5890. Is m composite? False Let v(f) = -f - 9 - 3*f + f + f. Let r be v(8). Let s = 51 + r. Is s composite? True Suppose -6*z = -2268 - 49386. Is z composite? False Let d(k) = -k**3 - 37*k**2 + 140*k - 97. Is d(-41) prime? True Let q(l) = 2*l**2 + 14*l - 17. Let f be q(20). Suppose -2724 + f = -s - 2*y, 1665 = s + y. Is s composite? False Let w = -170 - -362. Suppose -4*c + w + 184 = 0. Suppose j = 625 + c. Is j prime? True Suppose 13*v + p = 9*v + 87843, -p = 1. Is v a composite number? False Let v(o) = 59*o + 161. Is v(8) prime? False Is 21/(-84) + (-21018)/(-8) composite? True Suppose 0 = 3*m + 4*y - 2*y - 340, 5*m = 2*y + 540. Let o(c) = -2 - 86*c - m*c + 63*c. Is o(-3) a composite number? False Suppose -5*w = 2*j + 9, 2*w + 24 = 5*j + 3. Suppose 0*d + j*s - 7675 = -2*d, 3*d - 2*s = 11519. Is d a prime number? False Let k(d) = 61*d**3 + 2*d**2 - 7*d + 12. Let q be k(6). Suppose -1695 = -9*n + q. Is n a composite number? False Let b = 4050 + -587. Is b composite? False Let u = 13 - -646. Is u a prime number? True Let x = 2734 + -1842. Let q = x + -333. Is q a composite number? True Let d = -90 - -93. Let u(y) = 83*y**2 + 2*y + 4. Let c(j) = 84*j**2 + 3*j + 4. Let v(l) = -6*c(l) + 7*u(l). Is v(d) a composite number? True Suppose 3*a - 10902 = -v, 9*a - 10*a = -5. Suppose 0 = -20*q + 3133 + v. Is q composite? False Suppose 4*w + 3*i + 50 = -493, 20 = -4*i. Let t = w - -221. Is t a composite number? False Suppose -u = 14*u - 65370. Is u composite? True Is (1663/2)/(3/(-12)*-2) a composite number? False Suppose 5*t - o - 38 = -3, -t - 4*o = 14. Suppose -f - 2 = -t. Suppose 3*h - f*g - 474 = -5*g, 0 = h + 3*g - 158. Is h composite? True Suppose -4*y = -3*u + 9, 5*u = -5*y + 2*u - 45. Is (-13843 + 1)/y - -2 prime? True Let m = 38189 - 18036. Is m prime? False Let u(z) = 108*z + 269. Is u(33) composite? False Let p = -14988 - -23105. Is p prime? True Suppose 0*u + 4*b + 1377 = u, 3*u - 4081 = 2*b. Is u a composite number? True Suppose -12*t - 108719 = -25*t. Is t prime? True Suppose -4*r = -2*n - 1790, 5*r - n = 2*n + 2237. Let i = r + 703. Is i a composite number? False Suppose -5*x + 27 = 17. Suppose -2*s + x*h = -h - 337, 3*h + 15 = 0. Is s a composite number? True Let h(m) = -329*m**3 + m**2 - 5*m - 1. Let l(i) = i**3 - i. Let x(d) = h(d) - 4*l(d). Is x(-1) a composite number? True Let p = 13085 - 694. Is p a composite number? False Let k be 2 + -51*4/(-12). Suppose -c = -k - 48. Is c a composite number? False Is ((-5)/10)/((-5)/154970) a prime number? True Suppose -4237 = 19*r - 22*r - 5*b, -4*r - 4*b = -5644. Is r a prime number? True Suppose 0 = -4*o - 3*b + 48740, -29*o - 2*b = -30*o + 12185. Is o a composite number? True Let l(v) = -11*v + 4. Let n be l(-2). Suppose 2*s + 2*a = n, 2*s - 2*a - 3*a = -2. Let i(u) = 5*u - 2. Is i(s) composite? False Let a(g) be the second derivative of 241*g**3/6 - 2*g**2 + 14*g. Is a(3) prime? True Let l = 46 - 47. Is 705 - ((-4)/(-6))/l*-3 composite? True Suppose -4*p = -h - 10, h - 5*h + 5*p = -15. Is (h/30)/((-1)/(-1119)) composite? False Is (2 - 11/5) + (-49180)/(-25) a composite number? True Suppose n = 5*d - 44610, 4*d - 5*n - 35667 = -0*n. Is d prime? True Let w(d) = -31*d**3 - d**2 - 18*d - 29. Is w(-6) prime? False Suppose d - 26 = 3*u, 2*d - 43 - 9 = 2*u. Let m be d*(-2 - (-12)/4). Suppose -m*x = -21*x - 1085. Is x a prime number? False Suppose 2*t + 4 = 16. Suppose 3*z = 5*z - t. Suppose -5*j - z*o = -2*o - 259, 5*o = 4*j - 184. Is j a composite number? True Suppose -2532 = -5*u + 3*u. Suppose 3171 = 3*d + 2*d + n, 2*d = -n + u. Is d a composite number? True Suppose -5*q = 5*d - 25 + 80, 2*d + 12 = -q. Is (-1)/(q/(-5955))*20/(-6) a composite number? True Let u be (-38)/(-9) - 2/9. Suppose -u*o + 33 = -23. Let w = o + 9. Is w a prime number? True Let n be 324 - ((2 + -2 - 1) + 0). Let y = n + -198. Is y prime? True Let b be ((-110)/3)/((-13)/(5538/4)). Suppose 4*p = 3*l - 466 + b, -3*l + 4319 = 5*p. Is p composite? True Let n(z) = 137*z. Let i be n(2). Let v = -111 + i. Is v composite? False Suppose -h - 2*w + 7 = 0, 5 = -h + 3*w - w. Let p be ((-5)/15)/(h/(-3)). Let f(r) = 520*r**2 + r. Is f(p) a composite number? False Is (-7 + 3)*(1857/(-4) - -5) a prime number? False Suppose 2*m + 0*m + 74 = 0. Let t = 85 + m. Suppose 2*b - 4*f - t = 0, -3*f + 4*f - 21 = -b. Is b composite? True Let l = -57 + 319. Let b = -168 + 173. Suppose -b*z - 25 = 0, k + 0*z = -z + l. Is k composite? True Let d(m) = 349*m**2 + 6*m + 3. Let c be d(5). Let q = -5438 + c. Is (-5)/(-2)*q/50 composite? True Let n(c) = -5*c**3 + 7*c**2 + c - 6. Let o be n(-8). Let r = -1595 + o. Is r a prime number? True Let n(z) = -5*z**3 - 9*z**2 - 12*z - 31. Is n(-6) composite? False Let m(c) = 735*c**2 - 10*c + 24. Is m(3) a prime number? False Let c(o) = o**3 + o**2 - 4*o - 3. Let t be c(-2). Let f be (-5)/(-2*(-4)/424). Is (14 + f)/(-2 + t) prime? True Let w(j) = -j**2 -
{ "pile_set_name": "DM Mathematics" }
2*o + 15. Let t be h(-9). Let p be -3 - (t/3 - 82). Let v = p - 27. Is v composite? False Let w = -1354 + 3557. Is w composite? False Let p(k) = -19*k - 6. Suppose o = 2*y + 3*o - 16, 3*y - 26 = -5*o. Suppose 5*m = -2*d - 43, -2*m + y*m + d + 39 = 0. Is p(m) composite? False Let k be 27/6 + 2/(-4). Suppose 2*a = 2*b - 12, -k*a + 9 = b - 6*a. Is -1 - (-153 - b) - -2 composite? False Suppose -18*m - 8720 = -28*m. Suppose 4*y - 4132 = -m. Is y a composite number? True Let i = 3 - -1. Suppose -a + 2*a - 165 = -2*c, -a - i*c + 173 = 0. Is a a prime number? True Let k(o) = o - 1. Let r(s) = s + 10. Let f(p) = 6*k(p) + r(p). Let t be f(-12). Let g = t + 219. Is g composite? False Suppose 0 = 2*n - 4*j + 8, -3*n - 9*j = -7*j - 4. Suppose -w + 2*s + 69 = n, 4*w = -s + 5*s + 256. Is w composite? False Suppose 10*i + 21118 = 12*i - w, 0 = -3*i + 4*w + 31677. Is i prime? True Suppose -f + 18 = f. Let t = f + -13. Is t/26 + (-8610)/(-26) composite? False Let s = 7182 - -9825. Is s prime? False Suppose 7*i = 8*i - 5. Suppose 12 = i*b - 3. Suppose 21 + 42 = b*p. Is p a composite number? True Let j(f) = -f - 19. Let b be j(-13). Let z(r) = -57*r - 25. Is z(b) a prime number? True Let f = 25 - 22. Is (-301)/(-2) + f/(-2) a composite number? False Let h(i) = -i**3 + 2*i**2 + 4*i - 2. Let g be h(3). Is (3/6)/(g/110) prime? False Let k(l) = -l**2 + 24*l + 25. Is k(22) a prime number? False Suppose -3*i + 8 = -i, 0 = -o + i - 5. Let t be -11 + 11 - (o + -3). Is 1*(t - -487 - 4) a composite number? False Suppose -j + 3 = 0, -2*v + 6*v - j - 172889 = 0. Is v a composite number? False Suppose 174 = 6*k - 378. Let s = k + -3. Is s a prime number? True Let w = 4 + -2. Let u be 50/125 + (-3796)/(-10). Suppose -2*v + u = w*v. Is v a prime number? False Suppose -6*a + 8*a = 38. Suppose 0 = -a*h + 20*h - 743. Is h prime? True Suppose 0 = 22*r - 14172 - 28706. Is r composite? False Let c(h) = -184*h - 1. Let x(y) = -5*y - 5. Let m be x(-2). Let u = m - 6. Is c(u) a composite number? True Let i be -2 + -3 + 1 + 6. Suppose 5*g + p = 4 - 73, g = -i*p - 12. Is (-2984)/(-18) - g/63 a prime number? False Let z(l) = -579*l**2 + l - 1. Let d be z(1). Let c = 1046 + d. Let h = 678 - c. Is h composite? False Let m = 43990 + -17651. Is m a prime number? True Let c(f) = f**3 - 4*f**2 - 4*f - 3. Let m be c(5). Suppose m*p = -3 - 5. Let i(k) = -4*k**3 + k**2 - 5*k - 1. Is i(p) prime? False Suppose -25*l = -74*l + 409297. Is l a prime number? True Suppose 0 = 5*r - u - 1327, 2*r + 4*u - 656 = -134. Let t = -14 + r. Is t a composite number? False Let q(x) = 4*x**2 - x - 1. Let g be q(-1). Let s(a) be the third derivative of 27*a**4/8 - 5*a**3/6 - 6*a**2 - a. Is s(g) prime? False Let h(q) = -218*q + 83. Is h(-9) a prime number? False Let z be 2/6*(-117)/(-3). Let i be z/7 - 3/(-21). Suppose 140 = i*m + 2*m. Is m a composite number? True Let t(f) = f**3 + 21*f**2 + 20*f + 2. Is t(-18) a composite number? True Let p = -59 + 64. Let y(z) = 64*z**2 + 6*z + 27. Is y(p) prime? True Let c = 21 + 294. Suppose -c - 193 = -4*l. Is l composite? False Suppose 3*f - u = 25593, 348*u + 34124 = 4*f + 351*u. Is f a composite number? True Suppose 0 = 16*c - 6*c - 11170. Is c a composite number? False Let z = -185 + 11. Suppose 3*i + 9 = 3. Is (z/(-15))/(i/(-10)) composite? True Suppose 0 = 7*s - 9*s. Suppose 3*u - k - 8 = s, 2*u + 2 = 7*u + 4*k. Suppose 2*i = -4*f + u*f + 132, 3*i = 3. Is f prime? False Let a(f) = 4*f**2 - 3*f + 2. Let g be a(-12). Suppose 2*k + 3*t - g = 0, t = -3*k - 2*t + 921. Is k composite? False Suppose -458 = 3*g - 95. Let q = g - -269. Suppose -2*p + 10 = -q. Is p prime? True Let u = 35 + -35. Suppose 3*o - 575 = -2*q, u*q + 2*q - 2 = 0. Is o a prime number? True Suppose -29 = 5*h - 3*n, 0 = -n - 3*n + 12. Let f(w) be the second derivative of -w**5/10 + w**4/4 - w**3/6 + 7*w**2/2 - 37*w. Is f(h) a prime number? False Let j = -28453 - -82718. Is j prime? False Let v(x) = 2*x**3 - 25*x**2 - 8*x + 234. Is v(28) a prime number? False Let n(x) be the second derivative of x**5/20 + x**3/6 + x**2/2 - 11*x. Is n(2) a composite number? False Suppose 6 = -3*j + 2*j + 2*d, 4*j = 4*d - 12. Suppose j = 2*o + 12 + 6. Let c(z) = z**3 + 11*z**2 + 7*z - 12. Is c(o) prime? False Let z(n) = -37*n**2 + 59 - 9*n + 38*n**2 - n. Is z(-30) a composite number? False Let x(u) = -u**3 + 16*u**2 + 35*u + 20. Let q be x(18). Let c = 454 + -122. Suppose -c = -q*b + 282. Is b prime? True Suppose -4*s + 8 = -16. Suppose -s - 8 = 7*c. Is (-1482 - -4)*1/c a prime number? True Let o(l) = -107*l - 16. Is o(-7) prime? True Let a(c) = 33*c - 36. Let h(t) = -t**3 - 7*t**2 - 9*t - 5. Let o be h(-6). Is a(o) a composite number? True Let t = 3311 + 816. Is t prime? True Suppose -553283 - 789558 = -37*l. Is l a prime number? True Let h = -308 - -76. Let z be 36/(-24)*h/6. Let k = 25 + z. Is k a prime number? True Let u be -12*(347/(-2) - 1). Suppose 0 = -p + j + 526, p + u = 5*p - 2*j. Is p composite? False Suppose -u = -5*f + 3*f - 8, -5*u = -5*f - 40. Let l(s) = s**3 - 7*s**2 - 7*s + 11. Is l(u) composite? False Let g = 9625 - 6603. Is g prime? False Let g(y) = y**3 - y**2 + y. Suppose 5*w + 5*l + 27 = 7, -w - 8 = 2*l. Let x be g(w). Suppose x = 5*t - 1962 + 317. Is t prime? False Let z = -15319 - -39440. Is z composite? False Suppose -10*v - 78 = -13*v. Suppose -4*l + 4*c + 1 = -3, -4*c + v = 2*l. Suppose 0 = l*w - 68 - 207. Is w composite? True Is 1/(35135/5855 - 6) prime? True Let t(y) = 2*y**2 - 3*y - 12. Let i(k) = -5*k**2 + 7*k + 23. Let z(b) = -3*i(b) - 5*t(b). Suppose 4*p - 56 = -0. Is z(p) a composite number? False Let u = -102 + 102. Is (u - 1)/((-10)/49090) a prime number? True Let f be ((-35)/(-4))/(1/276). Let i be (-4)/(-5)*f/14. Suppose -l = -4*l + i. Is l prime? False Let t = 44 + -14. Suppose 4*g = 3*u + t, 9*g - u = 4*g + 32. Let h(z) = z**2 + 3*z - 1. Is h(g) composite? False Let n(r) = -45*r - 3. Let x be n(-2). Let o = x - -652. Is o prime? True Suppose -3*p + 5*a + 13381 = -27799, -p - 2*a + 13745 = 0. Let y = p - 9602. Is y prime? True Let w(j) = 2*j - 6. Let k be w(7). Suppose 2760 = -3*n + k*n. Suppose 130 = -2*h + n. Is h prime? True Let r(g) = 22*g**2 - 8*g - 43. Is r(13) a prime number? True Suppose -120 = -40*i + 37*i. Suppose 3*q - 4*q - i = 2*x, 0 = -5*x. Is 1214/10 + q/100 prime? False Let v(f) = f**2 - 24*f - 21. Let l be v(25). Suppose -4*k = -9*k + 3*w + 8789, 7044 = 4*k + l*w. Is k prime? True Suppose -c = 3*n - 0*c - 8, -3*c = -2*n - 13. Let y(z) = -347*z**2 + 1. Let l be y(n). Let f = 549 + l. Is f a composite number? True Let l = -21 - -25. Let a be (-2 - -9752 - l)/1. Suppose -9 = 5*i - 4, 0 = -4*b - 2*i + a. Is b a prime number? True Let y(c) = -c**3 + 12*c**2 + 12*c + 16. Let z be y(13). Suppose 3*h - 1051 - 616 = -p, z*h + 8263 = 5*p. Is p prime? False Let f(k) be the third derivative of k**5/20 - 37*k**4/24 - 9*k**3/2 - 47*k**2. Is f(21) composite? True Let v = -9 + 12. Suppose -4*i = -v*m + i + 154, 2 = 2*i. Suppose -4*x + m = -87. Is x a composite number? True Suppose v + 2*g - 6897 = 0, -g + 34530 = -8*v + 13*v. Is v a prime number? True Let k be 6*(14/(-6) - -2). Let u(t) = -17*t - 1. Let f be u(k). Suppose y - f - 34 = 0. Is y a prime number? True Let q(d) = -d**3 + 5*d**2 - 7*d + 6. Let h be q(4). Let g(w) = -13 + 16 - 3*w + 16*w**3 - 17*w**3 - 6*w**2. Is g(h) a prime number? False Let a = -21 - -30. Is 1888/12 + 6/a*1 prime? False Let u(o) = 21767*o**3 + 4*o - 4. Is u(1) a composite number? False Let l(s) = -2*s**2 - 11*s + 42. Let n(f) = -f**2 - 5*f + 21. Let a(y) = 3*l(y) - 7*n(y). Is a(-10) a prime number? True Suppose -p + 2 = 0, 18 - 6 = 5*a - 4*p. Suppose c + 3*i - 2951 = 0, 7411 = a*c - 3*i - 4333. Is c prime? True Suppose 26*g - 23126 = -5*g. Is g a composite number? True Suppose 0 = -9*x + 188414 + 32779. Is x prime? False Let y(q) = -q**2 + 3*q + 10. Let r be y(5). Suppose 5*m - 172 - 103 = r. Is m prime? False Suppose -4*a - 353 = 3*u, 4*a = -5*u - 771 + 188. Let n(b) = -57*b**2 + 2*b - 6. Let c be n(2). Let j = u - c. Is j a prime number? False Suppose 0 = 4*v - 9920 - 33276. Is v composite? False Let p(j) = -j**3 - 3*j**2 + 14*j - 27. Suppose -3*k = -5*n + 43, -2*k - 29 = -n - 5. Is p(k) a prime number? True Suppose -18*b + 58080 = -23874. Is b composite?
{ "pile_set_name": "DM Mathematics" }
tiple of j(5) and d? 8 Find the common denominator of 123/(-44) - (-1)/(-4) and ((-43)/(-5))/(12/10). 66 Let r be 2/6 - 4/(-6). Suppose 0 = 4*i + r - 5, 0 = 4*a - 2*i - 26. Calculate the lowest common multiple of a and 7. 7 Let q = -928929/428 - 38/107. Let o = q + 2191. What is the common denominator of o and 125/6? 12 Let t = -108 + 865/8. Find the common denominator of t and ((-5)/(-22))/(12/156). 88 Let j = 2881/246 - 36/41. Let z = -1886 - -16915/9. What is the common denominator of z and j? 18 Suppose -112 = 2*l - 9*l. Calculate the lowest common multiple of 4 and l. 16 Calculate the common denominator of 0 + (-512)/52 - -6 and -67/4. 52 Let q = -14 + 54. Calculate the least common multiple of 30 and q. 120 Let i = -193/21 - -104/7. Let a be (-22 + 1)/3 + 2. What is the common denominator of i and (-2)/a + 82/(-20)? 30 Let i(s) = 23*s**2 - 3*s - 1. Let n be i(-2). Suppose 11 = -2*k - 2*x + n, -5*x = 3*k - 127. Let j = k - 26. Calculate the least common multiple of j and 8. 72 Suppose 5*b = -m + 31, 9*m + b - 83 = 4*m. Let i(c) = 19*c - 1. Calculate the least common multiple of m and i(1). 144 Let a = 18 + -14. Calculate the least common multiple of a and 1. 4 Suppose -q = -2*q - 3*f + 7, -3*f + 19 = 4*q. Calculate the least common multiple of 2 and q. 4 Suppose 18*g + 7 = 19*g. Suppose 0 = 4*m - 29 + 1. What is the smallest common multiple of m and g? 7 Let m(w) = -7*w - 1. Let k be m(2). Let y = 1 - -5. What is the least common multiple of (0 - k) + 1/(-1) and y? 42 Let p(t) = -3*t - 36. Calculate the lowest common multiple of p(-14) and 40. 120 Suppose -10*o = -11*o + 20. Calculate the lowest common multiple of o and 20. 20 Let q = -50 + 203/4. What is the common denominator of q and -91/10? 20 Let f = 76 - 69. Calculate the smallest common multiple of f and 2. 14 Suppose -43 = -4*q + 45. Suppose -15 = -5*t + 2*t, 3*i + t = -49. Let y = i + 32. What is the smallest common multiple of y and q? 154 What is the common denominator of -51/28 and (-278)/(-12)*2/6? 252 What is the least common multiple of (-4)/(-14) - (-40)/7 and 2? 6 Find the common denominator of (-395)/28 - (-12)/(-84) and -49/6. 12 Suppose 0 = 2*d + 5*z + 19, 3*d - 3*z - 24 = -0*d. Suppose 4*q = 5*j + 37, -d*q + j = -5 - 9. Calculate the lowest common multiple of 11 and q. 33 Suppose -2*k + 108 = k. Let f = k + -20. Calculate the least common multiple of f and 20. 80 Let u be (-162)/(-51)*31/1. Let k = -18235/204 + u. What is the common denominator of 97/8 and k? 24 Let r = -15472 - -309317/20. Calculate the common denominator of 293/180 - 12/(-54) and r. 20 Let s = -9429 - 983. Let z = s - -62609/6. Calculate the common denominator of -73/9 and z. 18 Suppose c = -2*q + 6, -2*q - 3*q + 25 = 0. What is the lowest common multiple of 6 and 1/(-2) + (-26)/c? 6 Suppose 0 = -5*x + 3*w + 93, w + 0 = -2*x + 35. What is the least common multiple of (-3)/(9/(-4))*12 and x? 144 Let c(m) = 3*m + m - 1 - 5*m. Let t be c(-8). Suppose -d + 0 = -t. Calculate the least common multiple of d and 11. 77 Let t = -156 - -2437/16. Calculate the common denominator of t and 39/8. 16 Let v(s) = -s + 8. Let h be -16*(12/(-8) + 2). What is the lowest common multiple of 14 and v(h)? 112 Let s(a) = -7*a + 8. What is the lowest common multiple of s(-1) and 21? 105 Suppose 12*g - 7*g - 20 = 0. Suppose -g*t + 2*t + 2 = 0. What is the least common multiple of 9 and t? 9 Let h(s) = -18*s**2 + 4. Let t be h(-3). Let k = -94 - t. Let p = 43 - k. What is the common denominator of p and 17/4? 4 Suppose 5*m + 0 - 45 = 0. What is the lowest common multiple of 23/2 - (-2)/(-4) and m? 99 Let p = -8 + 14. What is the lowest common multiple of 6 - 3 - 2 - -1 and p? 6 Let x(p) = p**2 + p - 2. Let y be x(3). Let c(n) = 3*n - 15. Let z be c(-3). What is the least common multiple of 20 and (z/y)/(3/(-20))? 80 Let z = 38069/6 - 6365. Find the common denominator of -41/22 and z. 66 Let l(b) = b + 10. Let r be l(8). Suppose -4*f - 44 = -0*f. Let d = r + f. Calculate the lowest common multiple of d and 15. 105 Find the common denominator of 2 - 1 - (-27)/(-4) and (24/28)/(215/(-259) - -1). 44 Let l = -76 - -117. Let u = l + -17. Calculate the smallest common multiple of 9 and u/9*9/6. 36 What is the least common multiple of (21/(-5) - -2)/((-6)/30) and 9? 99 Suppose -p - 2*p - 10503 = 0. Let b be (-2)/(-5) - 279742/80. Let u = b - p. Find the common denominator of -28/9 and u. 72 Let b = 202 - 311/2. What is the common denominator of b and 121/10? 10 Let o = -29035/154 + 1343/7. Calculate the common denominator of o and 31/12. 132 Let p = 30 + -10. Let t(y) = 14*y**2 + y. Let l be t(-1). Let z = 1 + l. Calculate the lowest common multiple of z and p. 140 Suppose -5*b - 3 = -8. What is the least common multiple of 8 and b? 8 Let f = 5 - -1. What is the lowest common multiple of 9 and f? 18 Let p be 1*-2 - (2 + -4). Let u = 2 - p. Suppose -w = -u*w + 19. Calculate the common denominator of w and -87/10. 10 Suppose 2*x = 4 - 14, 2*b - 89 = 5*x. Suppose 3*c = -3*h + 4*h - b, -h = 4*c + 38. Find the common denominator of 45/8 and c. 8 Let x(y) = -2*y - 4. Suppose -26 = -0*a - a. Let k be a/(-7) - (-2)/(-7). Calculate the lowest common multiple of 8 and x(k). 8 Suppose -314 = -2*j - 4*m, -4*m + 0*m = 3*j - 461. What is the common denominator of -21/11 and j/27 - (-1 - -3)? 99 Let h(r) = 13*r**2 + 2*r + 1. Let p be h(-1). Find the common denominator of -41/4 and p/50*(-780)/48. 20 Suppose -3*h - 3*t - 21 = -6, -1 = h - 3*t. Let z(k) = -7*k - 6. What is the lowest common multiple of 20 and z(h)? 220 Let l(j) = -j**3 + 6*j**2 - 3*j - 2. Let s be l(4). Suppose 0*i - s = -i. Calculate the smallest common multiple of 8 and i. 72 Let z = -154/3 + 494/9. Calculate the common denominator of z and (-101)/45 - 1/5. 9 Suppose 2*c - 3 = -c. Suppose -c - 9 = -5*y. Suppose 4*s = 4*w, -5*w + 2*s + 2 = -y*s. What is the least common multiple of 5 and w? 10 Calculate the common denominator of (85/20*-2)/(2 - -2) and -77/10. 40 Let w be (-130)/14 - 6/(-21). Let i(h) = -h**2 - 6*h - 7. Let t be i(-6). Calculate the least common multiple of 3 and 3/w + t/(-3). 6 Let p be (-5)/(-130)*808/(-2). Let d = -5183/234 - p. Find the common denominator of 77/6 and d. 18 Let x = -2410/9 + 18893/72. What is the common denominator of (15 - 4)*2/(-8) and x? 8 Suppose 36 = -2*l - l. Find the common denominator of (-3)/l - 167/(-12) and -65/22. 66 Let z(t) be the third derivative of -t**4/24 - 2*t**3 + t**2. Let f be z(-6). Calculate the smallest common multiple of 12 and (-2)/(-3) - 68/f. 12 Let a(s) = s**2 + 3*s. Let h be a(-3). Calculate the smallest common multiple of (8 - h)*(-5)/(-2) and 22. 220 Let i = 2 - 0. What is the least common multiple of i and (7 + -1)*11/3? 22 Let i = -43195/14 + 3087. Let t(k) = 14*k**2 + 1. Let b be t(4). Find the common denominator of i and (b/(-22))/(-5) - 2. 154 Let b = 93 + -52. Suppose 3*o = -5*p + b, 0 = p - 0*o + 5*o + 5. Suppose 2*r - 6 = 18. What is the lowest common multiple of r and p? 60 Let w(h) = 12*h. Let l(m) = -m - 5. Let k be l(-7). Suppose k*f = -15 + 47. What is the least common multiple of w(1) and f? 48 Suppose 3 = 3*r - 3. Let g = -4 + r. Calculate the common denominator of 31/(-6) - (-2)/g and -31/16. 48 Let t = -359 - -654. Let k = t - 1663/6. Find the common denominator of k and -57/8. 24 What is the common denominator of -29/16 and (-111)/(-30)*5/22? 176 Let n = 11844764 + -237063609/20. Let r = -8414 - n. What is the common denominator of r and 23/8? 40 Let l = 0 + 6. Find the common denominator of 2/11*1*-2 and (-2)/l - 500/(-24). 22 Let g be (-6)/4*4/(-6). Suppose 0 = 3*k - 2*k + y + g, 4*k = 4*y + 28. What is the smallest common multiple of 2 and k? 6 Let k = 9789255/185141 - -1450367316182920/3887961. Let h = k + -660080521647637/1769460. Let l = -1/4213 - h. Find the common denominator of l and -33/10. 20 Let l = -10870/11 - -99656/99. Let w be 1354/(-48)*10/(-12). Let q = l - w. Find the common denominator of q and 127/12. 48 Suppose 3*w - 95 = -g - 4*g, -3*g + 3*w + 33 = 0. Let a(v) = -v**2 + 4*v + 11. What is the smallest common multiple of g and a(3)? 112 Let c = -16 - -24. Let x(v) = 2*v**2 - v - 2. Let h be x(-2). Let n = h - 4. Calculate the lowest common multiple of c and n. 8 Let i = -
{ "pile_set_name": "DM Mathematics" }
ctors of i(16)? 2, 11549 Suppose -4*z = 3 - 91. List the prime factors of 2001/12 + (z/(-8) - -3). 167 Let q = 651 + -817. Let i(w) = -104*w - 1. Let m be i(1). Let f = m - q. What are the prime factors of f? 61 Let i be (-2)/5 + (-136)/(-40). Suppose 3*v + 379 = 4*g, 0*v + 2*g = i*v + 371. Let z = v - -264. List the prime factors of z. 11, 13 Let c(o) = -86*o - 118. List the prime factors of c(-75). 2, 1583 Let i = -35 - -41. Suppose 21 = -9*g + i*g. Let y(t) = -9*t + 2. What are the prime factors of y(g)? 5, 13 Let y(c) = 31*c - 206. Let v be y(7). What are the prime factors of 280 + v/((-77)/49)? 3, 7, 13 Let j = 10460 + 604. What are the prime factors of j? 2, 3, 461 List the prime factors of (208/(-221))/(-16) + (-728072)/(-68). 3, 43, 83 Let t(d) be the second derivative of -17*d**5/60 - 5*d**4/4 + 10*d**3/3 - 11*d. Let j(u) be the second derivative of t(u). What are the prime factors of j(-4)? 2, 53 Let n(a) = -a**3 + 7*a**2 + 5*a - 3. Let g be n(7). List the prime factors of (-1257)/(-6) + 1 - 48/g. 11, 19 Let d(f) = -36*f + 96. Let z be d(-6). Let m be (194 - 1)/(9/18). Suppose -4*w + v = -3*v - z, -4*v = -5*w + m. List the prime factors of w. 2, 37 Let i(z) = -2*z**3 - 4*z**2 - 4*z - 4. Let p be i(-4). Let c be (-15)/5 + 4088/14. Let b = c - p. What are the prime factors of b? 3, 71 Suppose 0 = 3*r + 3*r - 7*r. Suppose r = -4*t - 75 - 13. List the prime factors of (-2959)/t + 2/(-4). 2, 67 Suppose -14*u + 661819 = 254713. List the prime factors of u. 3, 359 Suppose -34847 = -4*a + 5*r, -18933 - 7148 = -3*a - 4*r. List the prime factors of a. 3, 967 Let q = 6465 - -2006. What are the prime factors of q? 43, 197 Let d(f) = -6*f - 42. Let u be d(-8). What are the prime factors of 1624/u - (-176)/132? 2, 17 Let z = 18839 - 3503. What are the prime factors of z? 2, 3, 71 Suppose -5070 - 27490 = -2*t - 3*t. List the prime factors of t. 2, 11, 37 Let z be (-4)/(-1) + (-78)/13. Let g(j) = j + 7. Let f be g(z). Suppose f*m + 570 = 4*a, -4*m - 6 = 2. List the prime factors of a. 2, 5, 7 Let t(d) = 64*d - 395. List the prime factors of t(86). 3, 13, 131 What are the prime factors of (11096/(-365))/((-4)/170*4/52)? 2, 13, 17, 19 Suppose 5*v + 6 = 3*s + 2*v, 6 = 2*s - 3*v. Suppose 0*t - 34*t + 70516 = s. What are the prime factors of t? 2, 17, 61 Let a(n) = 94*n**2 + 13*n + 13. Let y be a(-1). Suppose -y = -b - u + 165, -3*u - 503 = -2*b. What are the prime factors of b? 2 Suppose c = -5*u + 65739 + 199959, -3*u = -2*c - 159424. List the prime factors of u. 2, 5, 2657 Suppose -y + 2*d + 7 = 0, 2*y - 7*y - 2*d = -59. Suppose -a = -y + 1. Let p = 17 - a. List the prime factors of p. 7 Let i(n) = n**2 + 6*n + 2. Let p be i(-7). Suppose 237 = p*q - 186. Suppose -497 = -5*r - q. List the prime factors of r. 2, 3, 5 Let f(l) = -12*l**3 + 8*l**2 + 70*l + 324. What are the prime factors of f(-10)? 2, 1553 Suppose -2*v + 13*v - 6160 = 0. Suppose -2*h = 2*s - v, -3*s = -0*s + h - 838. Suppose 6 = 2*j, 0*u + 3*u + 5*j = s. List the prime factors of u. 2, 11 Let t(m) = 7*m**2 - 5*m + 1. Let v be t(2). Let w(f) = -3*f - 44 + 28*f - 12*f. What are the prime factors of w(v)? 7, 29 Suppose -23*b + 66 = -25*b. Let s be 4*b*(-4)/8. List the prime factors of ((0 + 1)/1)/(3/s). 2, 11 Let c = -119993 - -170994. List the prime factors of c. 51001 Suppose 0 = 3*f - 3022 + 1204. Suppose f = -249*t + 251*t. What are the prime factors of t? 3, 101 Suppose 76 = 2*w - 0*k + 2*k, 5*w - 190 = 3*k. Let y = w - 33. Suppose t - 47 = -5*x, -t + 36 = -y*x - 21. What are the prime factors of t? 2, 13 Suppose 287 = 6*w - 2*w - b, 3*b = -5*w + 363. Let h = w - 0. Let t = h - 69. List the prime factors of t. 3 Let p = -11165 - -17084. What are the prime factors of p? 3, 1973 Suppose 1 = 3*o + 3*j + 4, -j + 7 = 3*o. Suppose 4*v = 5*q - 208, 2*q - o*v + 188 = 6*q. Let d = 83 - q. What are the prime factors of d? 3, 13 Let g = 11999 + -4585. What are the prime factors of g? 2, 11, 337 Let a = -712 - -31893. List the prime factors of a. 31181 Let t = 19331 - 10665. What are the prime factors of t? 2, 7, 619 Suppose j - 6*y = -2*y + 1382, -4*j + 5612 = 5*y. Let q = j + -914. What are the prime factors of q? 2, 11 Let g(c) = 21*c**3 - 13*c**2 + 10*c + 2. Let i be g(1). List the prime factors of -14 + 2115/150 + 9598/i. 2, 3, 5 Suppose 2*f - 7 - 3 = 2*u, 2*u + 11 = 3*f. Let t = u - -23. Suppose -7*i = -138 + t. What are the prime factors of i? 17 What are the prime factors of ((-3)/30)/(92/(-18559160))? 20173 Suppose -129 - 97 = -v. Let w = v - -228. List the prime factors of w. 2, 227 Suppose 0 = 6*k - 11*k. Suppose k = -11*y + 7*y + 804. Let r = -136 + y. List the prime factors of r. 5, 13 Let s = -11 - -19. Let q = -8 + s. Suppose q = y - 37 - 43. What are the prime factors of y? 2, 5 Let q = -618 + 648. What are the prime factors of q/5 + (-1 - 2) + 1174? 11, 107 Let l = -3643 - -21292. What are the prime factors of l? 3, 37, 53 Let m = 23263 + -9786. What are the prime factors of m? 13477 Let c(v) = -19*v + 72 + 6*v - 11*v - 14*v. Let o be c(15). Let u = -305 - o. What are the prime factors of u? 193 Let z = 36 - 36. Suppose z = -4*b - 20 + 92. Suppose 0 = -b*k + 15*k + 276. List the prime factors of k. 2, 23 Suppose 182*z - 183*z = -2. Suppose -5*l + 434 = 4*v, 0 = z*v + v + 2*l - 329. List the prime factors of v. 3, 37 Suppose -2 = 5*s - 17. Suppose -s*j = -5*j - 2. Let v(a) = 76*a**2 + 3*a + 1. What are the prime factors of v(j)? 2, 37 Suppose -3*q - 2 = -w + 2, 2*w - 4*q = 12. Let x = w + 256. What are the prime factors of x? 2, 7, 19 Let q be 2*(-9)/90 + (-131392)/(-10). Suppose 27*l - q = 6490. What are the prime factors of l? 727 Suppose -3*z + 588 = 3*h, 4*z + 5*h + 202 = 990. Let j = 306 - z. Suppose -11*f + 1030 = -j. List the prime factors of f. 2, 13 What are the prime factors of (5414 - (-9 + 12/12))/((-4)/(-10))? 5, 2711 Let i be 1/(-3) - 260/(-78). Suppose -2*d - 1542 = -4*f, -8*f + i*f + 1924 = d. What are the prime factors of f? 5, 7, 11 Suppose 0 = 36*s - 31*s + 80. Let h be s/40 - 14404/(-10). Suppose -11*z + h + 958 = 0. What are the prime factors of z? 2, 109 Let j(q) = 43*q + 1365. What are the prime factors of j(93)? 2, 3, 149 Let b(z) = 102*z + 139. Let u = 72 + -62. What are the prime factors of b(u)? 19, 61 What are the prime factors of 5482*(12 - 11) + (0 - 8)? 2, 7, 17, 23 Suppose -6*d = 2*d + 24. Let m(y) = 72*y**2 - 9*y - 5. What are the prime factors of m(d)? 2, 5, 67 Let l = 10364 - 938. What are the prime factors of l? 2, 3, 1571 Suppose -m = -5*o + o - 1286, -3*m = -4*o - 3858. Suppose 5*h = -4*s + m, s + 504 = 5*h - 3*h. Let k = -114 + h. List the prime factors of k. 2, 5, 7 Suppose h + 4*h = c + 7, -6 = -2*c. Suppose 2*w - 7 = -0*y - 5*y, 0 = -2*y - 2. Suppose 5*k - w*i = -h*i + 694, -i + 288 = 2*k. List the prime factors of k. 2, 71 Let d = -27 + 27. Let l be 2/(8/(-28) - d). Let y(r) = 2*r**2 - 10*r - 10. List the prime factors of y(l). 2, 79 Let g = -5903 + 30907. Suppose -g = -49*l + 4739. List the prime factors of l. 607 Let b be -3*(-17)/9*-15. Let a = b - -79. What are the prime factors of ((-308)/a)/(-1)*-3? 2, 7, 11 Let v be 7*(4/6 - (-20)/(-84)). Suppose 2*h - 1263 = u - 4*u, 0 = -v*u - 4*h + 1269. List the prime factors of u. 419 Suppose 10*r + 30602 = -16*r. Let v = r - -1694. List the prime factors of v. 11, 47 Suppose -4*r = -25 - 135. Suppose 0 = -d - 4*m - r, 3*m - 4*m + 44 = -2*d. Let j(l) = -6*l - 38. List the prime factors of j(d). 2, 53 Suppose -y - v + 6 = 0, 3*y - 2*v + 14 = 3*v. What are the prime factors of 210/(-63)*(-1)/(y/219)? 5, 73 Let j(h) = -4*h**2 + 13*h + 10. Let w(i) = -3*i**2 + 12*i + 11. Let d(b) = 2*j(b) - 3*w(b). List the prime factors of d(22). 251 Let g = -1835 + 3327. What are the prime factors of g? 2, 373 Suppose 5*f + p + 19 = -70, 4*p + 67 = -3*f. Let x be ((-17)/(-3) - 0) + f/(-51). Suppose -822 = -x*k + 3*k. List the prime factors of k. 2, 137 Let v = 123 - 188. Let u(b) = -b**3 - 2*b**2 + 8*b + 9. Let t be u(-6). Let w = v + t. What are the prime factors of w? 2, 5 What are the prime factors of 0 + 4067/2*408/238? 2, 3, 7, 83 Suppose -2*h + 6 = -p, 2*h + 4*p = 14 + 12. Suppose -2*k + h*k = -4*d + 596, -k = -d + 149. What are the prime factors of d? 149 Suppose 2*g + 24 - 64 = -5*n, 0 = 3*g + 4*n - 5
{ "pile_set_name": "DM Mathematics" }
- 51 What is the k'th term of -102706, -205409, -308112? -102703*k - 3 What is the b'th term of -45946, -366456, -1236062, -2929312, -5720754? -45758*b**3 - 204*b + 16 What is the x'th term of 5911913, 11823830, 17735747, 23647664? 5911917*x - 4 What is the a'th term of -925, -3675, -8343, -15019, -23793, -34755, -47995? -15*a**3 - 869*a**2 - 38*a - 3 What is the p'th term of 11110, 11096, 11064, 11002, 10898, 10740? -2*p**3 + 3*p**2 - 9*p + 11118 What is the j'th term of 99248, 97181, 95114, 93047, 90980? -2067*j + 101315 What is the y'th term of -2608, -10402, -23362, -41470, -64708, -93058, -126502? 3*y**3 - 2601*y**2 - 12*y + 2 What is the s'th term of 25619, 25686, 25871, 26234, 26835, 27734, 28991, 30666? 10*s**3 - s**2 + 25610 What is the d'th term of 1465, 4571, 9075, 14977, 22277, 30975, 41071? 699*d**2 + 1009*d - 243 What is the a'th term of 34636, 69294, 103868, 138316, 172596, 206666? -7*a**3 + 34707*a - 64 What is the z'th term of 5276290, 5276291, 5276294, 5276299, 5276306? z**2 - 2*z + 5276291 What is the c'th term of 51943, 104084, 156225, 208366, 260507, 312648? 52141*c - 198 What is the c'th term of 112496, 450019, 1012556, 1800107, 2812672? 112507*c**2 + 2*c - 13 What is the k'th term of 14797, 46753, 78709? 31956*k - 17159 What is the f'th term of -5982, -7500, -10028, -13566, -18114? -505*f**2 - 3*f - 5474 What is the o'th term of -16044, -63205, -141806, -251847, -393328, -566249? -15720*o**2 - o - 323 What is the b'th term of 4006123, 8012248, 12018373, 16024498, 20030623, 24036748? 4006125*b - 2 What is the i'th term of -229223, -228531, -227377, -225761, -223683? 231*i**2 - i - 229453 What is the n'th term of 43269, 86568, 129867, 173166, 216465? 43299*n - 30 What is the d'th term of 129713, 129616, 129339, 128792, 127885, 126528, 124631? -15*d**3 + 8*d + 129720 What is the d'th term of -775842699, -1551685397, -2327528095, -3103370793, -3879213491, -4655056189? -775842698*d - 1 What is the z'th term of -18525, -73716, -165635, -294282, -459657, -661760? -18364*z**2 - 99*z - 62 What is the m'th term of -2757, -5834, -8895, -11934, -14945, -17922, -20859? m**3 + 2*m**2 - 3090*m + 330 What is the g'th term of -208, -92, 224, 842, 1864, 3392? 17*g**3 - 2*g**2 + 3*g - 226 What is the j'th term of -179308, -179751, -180194? -443*j - 178865 What is the f'th term of 156262, 156289, 156364, 156511, 156754, 157117, 157624, 158299? 4*f**3 - f + 156259 What is the z'th term of -98, -2876, -10490, -25358, -49898, -86528, -137666, -205730? -403*z**3 + 43*z + 262 What is the g'th term of 3220286, 3220278, 3220270? -8*g + 3220294 What is the s'th term of -425, -814, -1221, -1658, -2137? -2*s**3 + 3*s**2 - 384*s - 42 What is the v'th term of -3400541, -3400555, -3400595, -3400673, -3400801, -3400991, -3401255, -3401605? -2*v**3 - v**2 + 3*v - 3400541 What is the o'th term of -83223, -83253, -83283, -83313? -30*o - 83193 What is the u'th term of -6304, -27902, -63882, -114250, -179012, -258174, -351742, -459722? -u**3 - 7185*u**2 - 36*u + 918 What is the m'th term of 9803648, 19607309, 29410970? 9803661*m - 13 What is the h'th term of -3236, -25261, -85002, -201317, -393064? -3143*h**3 - 24*h - 69 What is the s'th term of -165569, -165576, -165583, -165590? -7*s - 165562 What is the d'th term of 12588797, 12588796, 12588795, 12588794, 12588793, 12588792? -d + 12588798 What is the p'th term of 948932, 948911, 948884, 948857, 948836? p**3 - 9*p**2 - p + 948941 What is the r'th term of 976696, 1953427, 2930144, 3906841, 4883512, 5860151, 6836752? -r**3 - r**2 + 976741*r - 43 What is the v'th term of 5448, 6128, 6802, 7470? -3*v**2 + 689*v + 4762 What is the x'th term of -1028245, -1028246, -1028247, -1028248, -1028249, -1028250? -x - 1028244 What is the q'th term of -2412873, -4826003, -7239119, -9652215, -12065285? q**3 + q**2 - 2413140*q + 265 What is the o'th term of -608, -734, -1054, -1670, -2684, -4198? -17*o**3 + 5*o**2 - 22*o - 574 What is the r'th term of 9639, 9651, 9665, 9681, 9699, 9719? r**2 + 9*r + 9629 What is the n'th term of -4156, -4908, -6160, -7912, -10164, -12916, -16168? -250*n**2 - 2*n - 3904 What is the q'th term of 310006, 309818, 309630, 309442, 309254? -188*q + 310194 What is the f'th term of -642, -12760, -45662, -109740, -215386? -1732*f**3 + 6*f + 1084 What is the o'th term of 5300888, 21203535, 47707946, 84814121, 132522060? 5300882*o**2 + o + 5 What is the k'th term of 10991, 1386, -14623, -37036, -65853, -101074, -142699? -3202*k**2 + k + 14192 What is the y'th term of -45, -800, -2083, -3888, -6209, -9040? y**3 - 270*y**2 + 48*y + 176 What is the z'th term of -58382, -116775, -175168? -58393*z + 11 What is the s'th term of 1057, 4003, 8935, 15853? 993*s**2 - 33*s + 97 What is the d'th term of 1698005, 6792036, 15282087, 27168158? 1698010*d**2 + d - 6 What is the v'th term of -88041, -176962, -265879, -354792, -443701, -532606, -621507? 2*v**2 - 88927*v + 884 What is the a'th term of 71223052, 142446117, 213669182? 71223065*a - 13 What is the i'th term of 39056, 76138, 113224, 150314, 187408? 2*i**2 + 37076*i + 1978 What is the i'th term of -31936, -31424, -30914, -30406, -29900? -i**2 + 515*i - 32450 What is the y'th term of 281126, 562290, 843452, 1124612, 1405770, 1686926, 1968080? -y**2 + 281167*y - 40 What is the v'th term of -29228, -124561, -283450, -505895, -791896, -1141453, -1554566? -31778*v**2 + v + 2549 What is the c'th term of 334574, 1338378, 3011408, 5353664, 8365146, 12045854, 16395788? 334613*c**2 - 35*c - 4 What is the d'th term of -18826, -19608, -20390, -21172, -21954, -22736? -782*d - 18044 What is the i'th term of -10589, -20969, -31405, -41897, -52445? -28*i**2 - 10296*i - 265 What is the s'th term of 125777, 1006460, 3396901, 8051978, 15726569, 27175552? 125813*s**3 + s**2 - 11*s - 26 What is the g'th term of -557940, -558056, -558164, -558258, -558332, -558380, -558396, -558374? g**3 - 2*g**2 - 117*g - 557822 What is the i'th term of 1482, 3004, 4498, 5952, 7354, 8692, 9954? -2*i**3 - 2*i**2 + 1542*i - 56 What is the s'th term of 506, 2558, 7636, 17228, 32822, 55906, 87968, 130496? 248*s**3 + 25*s**2 + 241*s - 8 What is the x'th term of 931, 2000, 3223, 4600, 6131, 7816? 77*x**2 + 838*x + 16 What is the m'th term of 693737, 5549887, 18730869, 44399099, 86716993, 149846967? 693736*m**3 - 2*m + 3 What is the x'th term of 199171, 399093, 599013, 798931, 998847, 1198761? -x**2 + 199925*x - 753 What is the t'th term of -190036, -191779, -193522, -195265? -1743*t - 188293 What is the w'th term of 121068, 484227, 1089486, 1936839, 3026280? -w**3 + 121056*w**2 - 2*w + 15 What is the x'th term of 374, 1862, 4474, 8222, 13118, 19174, 26402? 2*x**3 + 550*x**2 - 176*x - 2 What is the r'th term of -6575, -13784, -20993, -28202? -7209*r + 634 What is the u'th term of -771403, -1542858, -2314313, -3085768, -3857223? -771455*u + 52 What is the h'th term of -202615, -202613, -202615, -202621, -202631, -202645? -2*h**2 + 8*h - 202621 What is the c'th term of 89033950, 89033951, 89033952? c + 89033949 What is the w'th term of -820147, -820137, -820127, -820117, -820107, -820097? 10*w - 820157 What is the c'th term of -622712, -1245444, -1868176, -2490908? -622732*c + 20 What is the k'th term of 906727, 7253827, 24481663, 58030603, 113341015, 195853267, 311007727? 906728*k**3 + 4*k - 5 What is the c'th term of -10943, -10689, -10435? 254*c - 11197 What is the j'th term of 2884, 5525, 8178, 10849, 13544? j**3 + 2634*j + 249 What is the b'th term of -258624, -1034927, -2328770, -4140153? -258770*b**2 + 7*b + 139 What is the l'th term of -3288, -5979, -10464, -16743, -24816? -897*l**2 - 2391 What is the s'th term of 98906, 395106, 888778, 1579928, 2468562, 3554686, 4838306, 6319428? s**3 + 98730*s**2 + 3*s + 172 What is the z'th term of -3444999, -3444985, -3444971, -3444957, -3444943? 14*z - 3445013 What is the i'th term of -41997, -84007, -126015, -168021, -210025, -252027? i**2 - 42013*i + 15 What is the p'th term of -1192921, -2385801, -3578639, -4771435? 21*p**2 - 1192943*p + 1 What is the a'th term of -6265, -24715, -55465, -98515, -153865, -221515, -301465? -6150*a**2 - 115 What is the w'th term of 11897, 2950, -6001, -14956, -23915? -2*w**2 - 8941*w + 20840 What is the m'th term of -12007,
{ "pile_set_name": "DM Mathematics" }
Let i = -426.4 - -425.917. What is the second biggest value in i, 0.5, 0.1, 2/7, -6/7? 2/7 Let a(c) = 3*c**2 + 67*c + 337. Let j be a(-15). What is the third biggest value in -13, 3, j? -13 Suppose -148 = -79*w + 10. What is the biggest value in 3, 12, 0.4, w? 12 Let c = -13 - -18. Let d = 1936 + -1945. What is the fourth biggest value in d, 1, -5, c? d Let j(q) be the first derivative of -q**3/3 + 17*q**2 - 41*q + 32. Let n be j(33). Let b = -7 - -7.1. What is the fourth biggest value in b, -3, n, -0.1? n Let z = -711.2 + 776. Let x = -4009 - -3944. Let i = x + z. Which is the second biggest value? (a) 4 (b) -4/7 (c) -0.5 (d) i d Let u = -5.6 + 6. Let k be (10/(-17))/(((-880)/(-935))/(-8)). Which is the second biggest value? (a) k (b) 0.9 (c) -0.13 (d) u b Let h = 122.5 - 123. Let l = -191 - -184. Let k = -0.2 - -0.1. Which is the smallest value? (a) h (b) k (c) 0 (d) l d Let r be 3*2/(-15) - 2110/(-25). Suppose -g - g = 16. Let o be (-3 + 0)/(r/g). Which is the second biggest value? (a) o (b) 2/19 (c) -0.2 (d) 4 a Let q = 17573 - 17573.2. Which is the second smallest value? (a) q (b) 0 (c) -1871 a Let i be -3 + (3 - 3) - (-45)/12. Let z = 8653 + -8652. Which is the fourth smallest value? (a) 3 (b) z (c) i (d) 53 d Let i = 132.8 - 132.82. What is the third smallest value in i, 1/6, 0.13? 1/6 Let u = -31/6 + 14/3. Which is the second smallest value? (a) -3/4 (b) u (c) 1/7 (d) -40 a Let i = 210 + -209. Suppose -3*r + 5 = s + i, 5*r = 0. Which is the fourth biggest value? (a) -0.02 (b) s (c) 3 (d) -1 d Let z = 1.12 - 12.82. Let f = 3.7 + z. Let k = f + 8.2. What is the biggest value in -1/5, k, -1? k Let l = 2089 - 2276.2. Let u = l + 187. What is the smallest value in -1, -2/11, u, 1? -1 Let y = 0.12052 + 4.87948. What is the fifth smallest value in -3, y, -7, -4, -2/33? y Let y = -6.95 + 7. Let t = y + 0.95. Let x = -0.0894 - 0.0106. Which is the third biggest value? (a) t (b) -2/13 (c) x b Let r = 6478 + -6474. Let h = 1 + -5. What is the second biggest value in -1/2, r, h? -1/2 Let k = 56 + -67.4. Let l = k - 22.3. Let u = l - -34. What is the third biggest value in u, -7, 2? -7 Let a(d) = 9*d**2 - 4*d - 10. Let b be a(-2). Let o = b + -116. Let n = 84 + o. What is the third biggest value in -1/3, 0.4, n? -1/3 Let z = -1.6 - 0.4. Let j = 153 - 151.671. Let u = j - 0.929. What is the third biggest value in u, 22, z? z Let f = -2308 + 2311. Which is the second biggest value? (a) 1/4 (b) 0.2 (c) 4 (d) -5/7 (e) f e Let w = -5.57 - -13.5. Let v = -3.93 + w. What is the biggest value in v, 35, -1? 35 Let o = -14.113 + 12.113. Which is the fourth smallest value? (a) 0.1 (b) 2 (c) -27 (d) o b Let l = 4.3 - 4. Let z(m) = -m - 24. Let o be z(-7). Let g = o + 13. Which is the third biggest value? (a) -1/5 (b) g (c) l b Let y = -3.071 + 0.071. Let j = -0.019 + 0.419. Which is the biggest value? (a) y (b) 0.2 (c) -2/13 (d) j d Let k = 7481/12460 - 1/2492. Which is the fourth smallest value? (a) 2/5 (b) k (c) 4 (d) 0.21 c Let l = 767 - 733.3. Let z = -35.4 + 1.4. Let u = l + z. Which is the second smallest value? (a) 0.1 (b) -3 (c) u c Let o = -4987 + 4990. Which is the third biggest value? (a) -1.1 (b) -1 (c) o (d) -3/4 (e) 0.8 d Let i = -14150 - -14138. What is the smallest value in i, 0.09, 1? i Let h = -0.28 - 33.72. Let s = h + 12. Let y = 673/8 + -84. What is the smallest value in s, y, 0.4? s Let m be (-320)/12 + (-6)/(-9). Let h = -6822/11 - -620. Which is the biggest value? (a) m (b) h (c) -1/2 b Let b = 117.894 + 0.106. Let u = b + -123. What is the second smallest value in -2, u, 2/15? -2 Let q = 1.561 + 2.639. What is the biggest value in q, -5, 2/3? q Let x = 40348 + -40348.1. Which is the fourth smallest value? (a) x (b) -5 (c) 0.4 (d) 4/75 (e) 4 c Let o = -36.3 - -36.8. What is the fourth biggest value in -1/2, -0.04, o, 0.1? -1/2 Let m be (-44)/(-528) - 34/984. What is the second smallest value in m, -0.2, 5/2, 4/7? m Let v = -1.42 + 0.08. Let w = 2.04 + v. Let j = -17/5 + 217/55. Which is the fourth smallest value? (a) -1/5 (b) w (c) j (d) 3 d Suppose -7*s = -2*s + 20. Let p be (s - -1) + 1*-1. Let h be 7 + -8 - (-5 + (-32)/(-8)). Which is the biggest value? (a) 1/3 (b) 3/5 (c) p (d) h b Let i = 0.7448 + -0.6448. What is the second smallest value in i, 1/5, -0.1, -47, 0.8? -0.1 Let l = 4694.22 - 4694.02. Let p = 2/17 - -11/51. Which is the fourth smallest value? (a) -5 (b) p (c) l (d) 0.16 b Suppose 17 = -3*z - 5*l, 3*z - 7 = l - 0. Which is the second smallest value? (a) 0.1 (b) z (c) -1/5 a Let r = 50 + -48. Let f = 0.936 + 4.064. What is the smallest value in 0.1, 26, r, f? 0.1 Let p = 122107/3 - 40703. Which is the third biggest value? (a) -6 (b) -3/55 (c) p a Let n = -0.00587 + 1.60587. What is the second biggest value in 0.2, 4/5, -3, n? 4/5 Let n = 8.48 - 10. Let p = -86.48 + n. Let q = p - -88.4. Which is the second smallest value? (a) q (b) 1/8 (c) 5 a Let y = 2.4 + -2. Let h = -0.737 - 0.199. Let x = h + -0.064. Which is the third smallest value? (a) -5 (b) y (c) -2 (d) x d Let o = 1689 + -1689.3. Which is the third smallest value? (a) -2021 (b) o (c) 1/3 c Let v = -8.876 + 4.876. What is the third biggest value in v, -64, 3/4, 3, -8? v Suppose 3*l + 3*o = 6*o, 0 = 2*l - 4*o - 10. Let q = -36 - -56. Let x be (-5)/q - (-19)/44. What is the third smallest value in l, 2, x? 2 Let t = -53 - -23. Let d = t - -30. Suppose 4*l - 4 = 6*l + 5*f, -25 = -5*l + 5*f. Which is the second smallest value? (a) -0.2 (b) l (c) d c Let l = -0.2358 + 0.1358. Let x be 15/50*10/(-36). What is the smallest value in 5, l, x? l Let w = -8297.4 - -8297. What is the fourth smallest value in 20, -4, w, -9? 20 Let r = -158.11 - -158. Let p = 35.29 + -35. Let t = r - p. What is the second smallest value in t, 4, -4, 0.3? t Let h be -45 + (-160)/(-128) - -44. Let p = 1 - 0.9. Which is the second biggest value? (a) h (b) p (c) -90 b Let n = -28.76 + 27.76. What is the third smallest value in n, -5, 1.1, 1.2? 1.1 Let b = -85 + 86. Let y = -16.9 - -17.3. What is the third biggest value in 3, y, b? y Let l = 4/429 + -449/2145. Let h = -3.39 - -6.39. What is the fourth smallest value in l, -4, h, 0? h Let f = -0.596 + -51.304. Let j = 52 + f. Which is the second biggest value? (a) j (b) 12 (c) -0.2 a Let j = 0.4 - 0.1. Let d = j + -0.7. Suppose 72*w - 10567 = -10495. What is the second biggest value in d, 0.02, w? 0.02 Let q = -17.7 + 17. Let r = -0.2 - q. Let p be (-24)/(-27) + -1 + 0. Which is the third biggest value? (a) p (b) r (c) -4 c Let f be (-5 + -3)*3/(-12). Let z be (13 - 12)/(f/(-12)). Let y = -3 + -1. Which is the biggest value? (a) 1/9 (b) z (c) y a Let w = -0.6584 - -15.6584. Which is the second biggest value? (a) 1/3 (b) w (c) -1/2 (d) -0.8 a Suppose -5*t + g + 40 = -4*g, -4*t = 3*g + 3. Suppose 0 = 13*r + 42 + 309. Let i = -30 - r. Which is the second biggest value? (a) t (b) i (c) 1 c Let t be 4/6 + ((-321)/117 - (-38)/19). Which is the second biggest value? (a) -2/3 (b) -1/78 (c) t c Suppose t = -l - 9 + 95, -2*l + 144 = -5*t. Let u = 35 - l. Let m = -234/5 - u. Which is the biggest value? (a) 4/3 (b) -1/3 (c) m a Let q = 3 - 6.4. Let z = 5.3 + q. Let y be (5/7)/(46 + -41). What is the fourth smallest value in -0.4, z, -0.5, y? z Let u = 13.15 + 1.25. Let r = u - 14.5. Let f = -6 + 1. Which is the biggest value? (a) f (b) 5 (c) 1/6 (d) r b Suppose 12*q + 38 = 15*q + 5*h, -28 = -2*q - 4*h. What is the third biggest value in 1, 3/8, -1/7, q? 3/8 Let f = 884.519 - 884. Let g = 0.619 - f. Which is the second smallest value? (a) 2/13 (b) g (c) -0.4 b Let k = -115 + 56. Let m = k + 58.991. Let j = -5.009 - m. What is the fourth biggest value in -4/3, j, 1/8, 3? j Let p be 39/52*2*8/(-6). Let r be p/16*(23 - 38). What is the second biggest value in r, -4, -1? -1 Let l = -1/1153 - 16137/5765. Let m be (4 + 0)/((-4)/(-6)). Let s be 26/24 - 2/m. What is the second smallest value in l, -3, s? l Let d be -280 + 258 + (-18)/(-2). What is the third smallest value in 6, -2, -2/9, 3/5, d? -2/9 Let s = 73 + -14. Let i = -159 + s. Let u = i + 99.5. Which is the third biggest value? (a) u (b) 5 (c) 10 a Let o(y) = y**2 - y - 5
{ "pile_set_name": "DM Mathematics" }
hird biggest value? (a) -1/4 (b) 0.01 (c) 0.7 a What is the third smallest value in -1/4, 2/43, -0.1? 2/43 What is the third biggest value in -2/11, -3, -126? -126 What is the second smallest value in 0.1, 0.5, -28, -0.1, 2/27? -0.1 Which is the biggest value? (a) 189/4 (b) 2 (c) 0 (d) 0.4 a What is the smallest value in -0.3, 5, 0.3, 0.4? -0.3 What is the third smallest value in 9, -0.5, 1, -3? 1 What is the fifth smallest value in -3, 0.2, -59, 15, -0.2? 15 What is the third biggest value in 0, -3/16, 27? -3/16 What is the biggest value in -2.06, -5/2, -3? -2.06 Which is the second biggest value? (a) 5 (b) 1 (c) -0.012 (d) -2 b Which is the third smallest value? (a) -6 (b) -1/2 (c) -0.3 (d) 1/6 c Which is the fourth smallest value? (a) -0.28 (b) -21 (c) 4 (d) 1/5 c Which is the fifth biggest value? (a) -1/5 (b) 0.3 (c) -2/13 (d) -4 (e) -20/21 d What is the fourth biggest value in 3/4, 3, -22, 5? -22 Which is the fourth smallest value? (a) 1 (b) -4 (c) 0.4 (d) -2.2 (e) -38 c Which is the fourth biggest value? (a) -0.33 (b) 2/9 (c) -3/4 (d) 0.2 c What is the fourth biggest value in -17, -1, -0.1, -6? -17 Which is the second smallest value? (a) 5 (b) -1/2 (c) 2/9 (d) 2/15 d What is the third biggest value in -4, 87, -5? -5 What is the second smallest value in 3/7, -6/11, 9? 3/7 What is the third biggest value in -0.3, 118, -2? -2 What is the fifth biggest value in -20, 5, 0.2, 3/2, -1/6? -20 What is the second biggest value in 2, 3, -0.04, 1/8? 2 Which is the second smallest value? (a) 8 (b) 4 (c) 0.3 (d) 7 b What is the second biggest value in 10/11, -2/13, 2? 10/11 Which is the biggest value? (a) 5/6 (b) -43 (c) -0.4 a What is the fourth biggest value in 1/6, 0.4, 0.9, 0.1, -0.1? 0.1 Which is the third smallest value? (a) -2/9 (b) -3/5 (c) -44 a Which is the fourth biggest value? (a) 3/4 (b) -10 (c) 0.4 (d) -0.4 (e) -1/34 d What is the third biggest value in -0.8, 22.2, 0.3? -0.8 What is the biggest value in -0.5, -3/2, -75? -0.5 Which is the fifth smallest value? (a) 17 (b) 1/2 (c) 5 (d) 1 (e) -2/13 a What is the biggest value in 0.1, -4, 0, -2? 0.1 What is the fifth biggest value in -52, -4, 3, 0.1, -2/21? -52 What is the second biggest value in -329, 1/3, -2/7? -2/7 Which is the second biggest value? (a) 2/3 (b) 6 (c) -1/3 a What is the smallest value in -0.2, 2/11, 0.03, -0.4? -0.4 Which is the second biggest value? (a) -0.5 (b) -3 (c) 246 a What is the second biggest value in -0.3, 4/9, 1/48? 1/48 What is the second smallest value in -4, 5, -0.1, 2/33, 0.01? -0.1 What is the third smallest value in 20, -4, -1? 20 What is the second smallest value in -2.9, 4/5, -33? -2.9 What is the third smallest value in -1/11, -7, -2, -0.4? -0.4 What is the third biggest value in 4/7, -17, 0.02? -17 What is the fourth biggest value in 2/37, 3/5, 15, 3? 2/37 What is the smallest value in 2, 4, -3/569? -3/569 Which is the biggest value? (a) 607 (b) -0.4 (c) -1 a Which is the smallest value? (a) 0.036 (b) -3 (c) 0.2 (d) -2/5 b Which is the smallest value? (a) 0 (b) -46 (c) 6 b What is the biggest value in -2, 0, -1/15, 1/5? 1/5 What is the third smallest value in 5/3, 2/7, 0.4, -2, -14/195? 2/7 What is the smallest value in -4, 0.4, 0.07, -0.4? -4 What is the third smallest value in -2/3, -1.7, 2/17, 0.4? 2/17 What is the third biggest value in -28, 0, 60, 1? 0 What is the biggest value in 3, -0.2, -6, -0.3, 5/6? 3 What is the biggest value in -16, 1, -1, -2/15? 1 Which is the second smallest value? (a) 3 (b) 1 (c) 0.1 (d) 0.9 (e) -1 c Which is the biggest value? (a) -0.2 (b) 68 (c) 5 (d) 4 b What is the second biggest value in 10, 7, 30? 10 Which is the smallest value? (a) 1/7 (b) 0.3 (c) -0.28 (d) 2/7 c What is the fourth smallest value in -0.39, -4, -0.09, 0.3? 0.3 What is the third smallest value in 0.16, -3, -0.2, 10/7? 0.16 What is the fourth smallest value in 0.3, 0.4, -0.4, -36? 0.4 Which is the third biggest value? (a) 4 (b) 9 (c) 12 a Which is the second biggest value? (a) 16/11 (b) 0.3 (c) 5 a What is the third smallest value in 3, 4/3, -20, 1, -4/7? 1 Which is the third smallest value? (a) -0.42 (b) 2/3 (c) -0.5 (d) -0.3 (e) -2/27 d What is the smallest value in 5, -16, -53/2, -4/7? -53/2 Which is the fourth smallest value? (a) -1 (b) 46 (c) 4 (d) 0.08 b What is the second biggest value in -1, 0.4, -3, 4? 0.4 Which is the third biggest value? (a) -0.37 (b) 1 (c) -3 c What is the second biggest value in 55, 2/7, -37? 2/7 What is the fourth smallest value in -0.4, -3.4, -0.5, 3? 3 What is the fourth biggest value in -31, 2/7, 0.5, -3? -31 What is the third biggest value in 1, -1/9, -35? -35 What is the smallest value in 0.01, 5, 70, 2/5? 0.01 Which is the third smallest value? (a) -2 (b) -5 (c) 70 c Which is the biggest value? (a) -11 (b) -2 (c) 1/2 c Which is the third smallest value? (a) -2 (b) 1.61 (c) 2 c What is the fifth smallest value in 83, 0, 5, 5/3, 4? 83 Which is the biggest value? (a) -5 (b) 146/3 (c) 0.4 (d) 3/5 (e) 2/3 b Which is the biggest value? (a) -82 (b) 11 (c) 0.3 b What is the third biggest value in 0, 5135, -4? -4 Which is the fourth biggest value? (a) 21 (b) -4 (c) 0 (d) -0.4 b What is the second smallest value in 3, 490, 7? 7 What is the second biggest value in 1, 0.9, -2/13? 0.9 What is the third biggest value in 7, -0.1, -2/37, 4? -2/37 Which is the biggest value? (a) -3/26 (b) -2 (c) 25 c Which is the third biggest value? (a) 774 (b) 0 (c) 4 b Which is the third smallest value? (a) -89 (b) 2/7 (c) 1/3 c Which is the second biggest value? (a) 2 (b) -3/8 (c) -1.2 (d) 0.2 (e) 6 a Which is the biggest value? (a) -3/19 (b) 0.04 (c) 0.5 c Which is the biggest value? (a) 4/7 (b) -0.3 (c) -0.8 (d) -0.7 a What is the biggest value in 0.18, -2, 11? 11 Which is the fourth biggest value? (a) -0.12 (b) 0 (c) -1 (d) 31 (e) -2 c What is the second smallest value in -1/2, 1, -0.4, 2/3? -0.4 Which is the second smallest value? (a) 2/13 (b) -1/3 (c) 6/5 (d) -2/9 d What is the third biggest value in 0.4, -0.1, 1/6, 7, 37? 0.4 What is the smallest value in 14.1, 0.5, -6? -6 What is the third smallest value in 27/23, 0.2, 1, -5? 1 What is the biggest value in 2001, 1/4, -0.2, -3/8? 2001 What is the third biggest value in -0.3, -0.23, -1/8? -0.3 What is the third smallest value in 0.2, -20, -1? 0.2 What is the biggest value in -3, 3/2, -5, 3/13, 2/11? 3/2 Which is the smallest value? (a) 0.011 (b) -5 (c) 3 b Which is the third biggest value? (a) -32 (b) -3 (c) -14 a Which is the second biggest value? (a) 2/3 (b) -2 (c) 3 (d) -6 a What is the third smallest value in -1/6, 2, 5, 24/73, -5? 24/73 What is the fifth biggest value in -2/13, -2/25, -1/3, -3/4, 74? -3/4 Which is the second smallest value? (a) -4 (b) 5 (c) 0 (d) -1/17 d What is the third biggest value in -15/2, -1, -4? -15/2 Which is the second smallest value? (a) 1/5 (b) -0.01 (c) 4/31 c What is the fourth smallest value in 0.4, -4, -0.036, -0.3? 0.4 What is the second biggest value in -2/5, 3/80, 4/5, 4, -6/7? 4/5 What is the second smallest value in -4, 1/2, -0.01, 392? -0.01 What is the second smallest value in -1, -2/5, -183, 4? -1 What is the second biggest value in 473/4, -8/3, 0.2? 0.2 What is the second biggest value in 1/3, 166, -1/4, 1/2, -2? 1/2 Which is the second biggest value? (a) -0.3 (b) 5 (c) 172/7 (d) 0.3 b Which is the second smallest value? (a) 0.1 (b) -0.1 (c) 3/11 (d) 1/6 a Which is the fifth biggest value? (a) -4 (b) 605 (c) 2 (d) 0.2 (e) -0.5 a Which is the fourth biggest value? (a) -4/197 (b) -1 (c) 2/23 (d) -0.5 b Which is the second smallest value? (a) -2/9 (b) -4/3 (c) -11 b Which is the second biggest value? (a) -3 (b) 4 (c) 29 b What is the biggest value in 3/13, 0.5, -4, 3/7? 0.5 What is the second smallest value in -5, -81, 3? -5 What is the smallest value in 137, 3, 1, 0.4, -2/5? -2/5 Which is the second biggest value? (a) 6 (b) 356 (c) -4 a Which is the second biggest value? (a) -2/5 (b) 790 (c) -1 (d) 5 (e) -0.5 d What is the third smallest value in 3, -0.2, -43/3, 2? 2 Which is the biggest value? (a) 3/14 (b) 0 (c) -2 (d) 1 d Which is th
{ "pile_set_name": "DM Mathematics" }