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rm of -171733, -171708, -171673, -171622, -171549? s**3 - s**2 + 21*s - 171754 What is the w'th term of 889, 1742, 2595, 3448, 4301, 5154? 853*w + 36 What is the z'th term of 25, 42, 65, 88, 105, 110, 97? -z**3 + 9*z**2 - 3*z + 20 What is the s'th term of -54, -467, -1578, -3735, -7286, -12579, -19962, -29783? -58*s**3 - s**2 - 4*s + 9 What is the p'th term of 2030, 2123, 2216, 2309, 2402? 93*p + 1937 What is the a'th term of -273, -351, -489, -687, -945, -1263, -1641? -30*a**2 + 12*a - 255 What is the w'th term of 525, 530, 523, 498, 449, 370? -w**3 + 12*w + 514 What is the h'th term of 112262, 224524, 336786, 449048, 561310? 112262*h What is the v'th term of 793, 1796, 2801, 3808, 4817, 5828, 6841? v**2 + 1000*v - 208 What is the o'th term of -1112, -1127, -1176, -1277, -1448, -1707? -3*o**3 + o**2 + 3*o - 1113 What is the i'th term of -207267, -414534, -621801, -829068? -207267*i What is the m'th term of 92, 427, 1004, 1829, 2908, 4247, 5852? m**3 + 115*m**2 - 17*m - 7 What is the k'th term of 19798, 39613, 59428, 79243, 99058? 19815*k - 17 What is the f'th term of 233, 2002, 6853, 16328, 31969, 55318, 87917? 257*f**3 - f**2 - 27*f + 4 What is the i'th term of 80, 58, 38, 26, 28, 50, 98, 178? i**3 - 5*i**2 - 14*i + 98 What is the k'th term of 2329, 2509, 3001, 3961, 5545? 26*k**3 - 2*k + 2305 What is the x'th term of -576, 18, 1000, 2364, 4104, 6214? -x**3 + 200*x**2 + x - 776 What is the a'th term of 395, 1206, 2435, 4082, 6147, 8630, 11531? 209*a**2 + 184*a + 2 What is the g'th term of 59, 67, 49, -7, -113, -281, -523, -851? -2*g**3 - g**2 + 25*g + 37 What is the t'th term of -89955, -89959, -89963, -89967, -89971? -4*t - 89951 What is the w'th term of 116, 709, 2308, 5417, 10540, 18181? 84*w**3 - w**2 + 8*w + 25 What is the l'th term of 2147, 2476, 2811, 3158, 3523, 3912? l**3 - 3*l**2 + 331*l + 1818 What is the h'th term of -1107, -2294, -3525, -4800, -6119, -7482? -22*h**2 - 1121*h + 36 What is the v'th term of 453, 1334, 2803, 4860, 7505, 10738? 294*v**2 - v + 160 What is the u'th term of 220, 739, 1618, 2863, 4480, 6475? u**3 + 174*u**2 - 10*u + 55 What is the n'th term of -908, -3758, -8510, -15164? -951*n**2 + 3*n + 40 What is the s'th term of 162888, 162885, 162882, 162879, 162876, 162873? -3*s + 162891 What is the b'th term of 1680, 1403, 942, 297, -532? -92*b**2 - b + 1773 What is the r'th term of 1074, 2131, 3180, 4227, 5278? r**3 - 10*r**2 + 1080*r + 3 What is the r'th term of 313, 804, 1477, 2338, 3393? r**3 + 85*r**2 + 229*r - 2 What is the i'th term of -389232, -389234, -389236? -2*i - 389230 What is the l'th term of -72729, -72729, -72727, -72723? l**2 - 3*l - 72727 What is the i'th term of 19236, 19237, 19238? i + 19235 What is the x'th term of 586, 2381, 5374, 9565? 599*x**2 - 2*x - 11 What is the g'th term of 185, 808, 1845, 3296, 5161, 7440, 10133? 207*g**2 + 2*g - 24 What is the n'th term of -14294, -14297, -14316, -14357, -14426, -14529, -14672? -n**3 - 2*n**2 + 10*n - 14301 What is the u'th term of -709532, -709542, -709552, -709562, -709572, -709582? -10*u - 709522 What is the y'th term of -5198, -5212, -5226, -5240? -14*y - 5184 What is the d'th term of -17069, -17065, -17059, -17051, -17041, -17029, -17015? d**2 + d - 17071 What is the t'th term of 159, 350, 527, 684, 815? -t**3 - t**2 + 201*t - 40 What is the g'th term of 176, 237, 108, -307, -1104, -2379, -4228, -6747? -16*g**3 + g**2 + 170*g + 21 What is the g'th term of -130, -554, -1264, -2260? -143*g**2 + 5*g + 8 What is the o'th term of 317, 622, 907, 1172, 1417? -10*o**2 + 335*o - 8 What is the j'th term of -7093, -7109, -7137, -7177, -7229, -7293? -6*j**2 + 2*j - 7089 What is the a'th term of 5637, 11277, 16917, 22557, 28197, 33837? 5640*a - 3 What is the b'th term of -1586952, -1586951, -1586950, -1586949, -1586948? b - 1586953 What is the o'th term of 35355, 70703, 106051, 141399? 35348*o + 7 What is the g'th term of 106554, 426222, 959002, 1704894? 106556*g**2 - 2 What is the s'th term of -546, -4158, -13952, -33018, -64446? -515*s**3 - s**2 - 4*s - 26 What is the t'th term of -538460, -538462, -538464? -2*t - 538458 What is the u'th term of 17450, 17447, 17444? -3*u + 17453 What is the k'th term of -1990, -2050, -2150, -2290, -2470, -2690? -20*k**2 - 1970 What is the x'th term of 12, 215, 552, 1023, 1628, 2367, 3240? 67*x**2 + 2*x - 57 What is the c'th term of 40507, 81016, 121525, 162034? 40509*c - 2 What is the x'th term of 235, 1944, 6581, 15610, 30495, 52700, 83689, 124926? 244*x**3 + x - 10 What is the l'th term of 76044, 152088, 228132, 304176, 380220, 456264? 76044*l What is the d'th term of -128374, -256750, -385126? -128376*d + 2 What is the g'th term of -239, -186, -101, 16? 16*g**2 + 5*g - 260 What is the o'th term of 63, 310, 719, 1290, 2023, 2918, 3975? 81*o**2 + 4*o - 22 What is the l'th term of 19010, 19084, 19202, 19358, 19546? -l**3 + 28*l**2 - 3*l + 18986 What is the u'th term of 1534, 1488, 1402, 1270, 1086, 844, 538? -u**3 - 14*u**2 + 3*u + 1546 What is the o'th term of -13654, -13649, -13644? 5*o - 13659 What is the m'th term of -5, 40, 141, 322, 607, 1020? 4*m**3 + 4*m**2 + 5*m - 18 What is the j'th term of -3702, -7404, -11106, -14808? -3702*j What is the g'th term of -184, -214, -252, -298? -4*g**2 - 18*g - 162 What is the r'th term of -12292, -12263, -12184, -12031, -11780, -11407, -10888, -10199? 4*r**3 + r**2 - 2*r - 12295 What is the i'th term of 4924, 4934, 4932, 4912, 4868, 4794, 4684, 4532? -i**3 + 17*i + 4908 What is the v'th term of -726708, -726706, -726704? 2*v - 726710 What is the i'th term of 1372801, 1372803, 1372805? 2*i + 1372799 What is the v'th term of -1428089, -1428088, -1428087? v - 1428090 What is the u'th term of -1421, -2869, -4297, -5693, -7045, -8341, -9569? 2*u**3 - 2*u**2 - 1456*u + 35 What is the x'th term of -31386, -62782, -94178, -125574, -156970, -188366? -31396*x + 10 What is the s'th term of -59, -160, -325, -554, -847, -1204, -1625? -32*s**2 - 5*s - 22 What is the z'th term of -496, -1268, -2554, -4354? -257*z**2 - z - 238 What is the l'th term of 66, 260, 704, 1494, 2726, 4496, 6900? 16*l**3 + 29*l**2 - 5*l + 26 What is the s'th term of -4318472, -4318474, -4318478, -4318484, -4318492, -4318502, -4318514? -s**2 + s - 4318472 What is the s'th term of 494, 4329, 14732, 34985, 68370, 118169, 187664, 280137? 547*s**3 + 2*s**2 - 55 What is the o'th term of 1432, 2098, 2756, 3400, 4024, 4622? -o**3 + 2*o**2 + 667*o + 764 What is the r'th term of -56794, -56748, -56702, -56656, -56610? 46*r - 56840 What is the r'th term of 141, 580, 1319, 2358, 3697? 150*r**2 - 11*r + 2 What is the r'th term of 689, 2736, 6149, 10928? 683*r**2 - 2*r + 8 What is the n'th term of 940, 7320, 24650, 58408, 114072, 197120? 913*n**3 - 3*n**2 - 2*n + 32 What is the n'th term of 77, 159, 235, 293, 321, 307? -2*n**3 + 9*n**2 + 69*n + 1 What is the a'th term of 124790, 124792, 124794, 124796? 2*a + 124788 What is the f'th term of -1982, -1987, -1994, -2003? -f**2 - 2*f - 1979 What is the y'th term of -1690, -1671, -1630, -1555, -1434, -1255, -1006, -675? 2*y**3 - y**2 + 8*y - 1699 What is the t'th term of -97, 61, 339, 737? 60*t**2 - 22*t - 135 What is the l'th term of -2302, -4651, -7094, -9679, -12454, -15467? -8*l**3 + l**2 - 2296*l + 1 What is the w'th term of 58, 298, 724, 1336, 2134? 93*w**2 - 39*w + 4 What is the s'th term of 1753, 3364, 4975, 6586, 8197, 9808? 1611*s + 142 What is the k'th term of 28097, 56187, 84277, 112367, 140457? 28090*k + 7 What is the h'th term of 1728, 2633, 3526, 4401, 5252, 6073, 6858, 7601? -h**3 + 912*h + 817 What is the q'th term of -194, -126, -58, 10, 78, 146? 68*q - 262 What is the k'th term of -610, -1273, -1992, -2797, -3718, -4785, -6028, -7477? -5*k**3 + 2*k**2 - 634*k + 27 What is the x'th term of -79, -45, 83, 305, 621? 47*x**2 - 107*x - 19 What is the a'th term of -69721, -139448, -209175, -278902, -348629, -418356? -69727*a + 6 What is the x'th term of -1685280, -3370559, -5055838? -1685279*x - 1 What is the s'th term of -425, -422, -417, -410, -401, -390, -377? s**2 - 426 What is the g'th term of 206, 1846, 6354, 15164, 29710, 51426, 81746? 239*g**3 - 33*g What is the z'th term of 16017, 64067, 144151, 256269? 16017*z**2 - z + 1 What is the j'th term of -12617, -25238, -
{ "pile_set_name": "DM Mathematics" }
m - 5. Let y be s(4). Let x be (3 - 3) + (-1 - -8). Calculate the highest common factor of y and x. 7 Suppose 0 = 3*x + 3*s - 315, -s + 417 = -2*x + 6*x. Calculate the greatest common divisor of x and 26. 26 Suppose a + 2*a = -3. Suppose -26*d - 39 = -29*d. Let u be (a - d)*-1 + -2. Calculate the greatest common divisor of u and 84. 12 Suppose 2*y = -y + 18. Suppose 5*n + 2*z = 344, y*z + 155 = 2*n + z. What is the greatest common divisor of 28 and n? 14 Suppose 0 = -5*q + 4*g + 188, 5*q - g - 84 = 113. Let y(v) = 3*v**2 - 3*v**2 + 5 + v**2. Let u be y(0). What is the highest common factor of u and q? 5 Let u = -7 - -6. Let z(x) = 6*x**2 + 1. Let k be z(u). Suppose -2*i + 36 = 4*q, -3*i - 12 = -2*q - k*i. What is the greatest common divisor of 2 and q? 2 Let y = -10 - -10. Let d(x) = x**2 - x + 120. Let n be d(y). What is the greatest common divisor of 15 and n? 15 Let z(f) = -3*f + 56. Let n be z(14). Calculate the greatest common factor of n and 35. 7 Let z be (-4)/(-2)*8/1. Let l = z + -4. What is the highest common divisor of 48 and l? 12 Let c be 4/(-10) - (-64)/10. Let s(k) = -4*k - 21. Let f be s(-9). What is the highest common factor of f and c? 3 Let a be 2 - 2 - (-34 + 2). Suppose -2*p + a = -32. Let t(v) = v**3 + 19*v**2 + v + 27. Let x be t(-19). What is the highest common divisor of p and x? 8 Let j be (-387)/(-27) + 8/(-6). Calculate the highest common divisor of 39 and j. 13 Let a(p) = 7*p + 5. Let m(q) = 13*q + 10. Let i(s) = -5*a(s) + 3*m(s). Let h be i(9). Suppose -3*d - 8 = -h. What is the greatest common divisor of d and 55? 11 Let g(h) = h**2 + h**2 + 4*h**2 + 3*h. Let k be g(3). Calculate the greatest common factor of 42 and k. 21 Let u be (-2)/(-3 + (-38)/(-14)). Let l = 20 + 36. Calculate the greatest common factor of u and l. 7 Let c = 53 - 21. Let x(q) = 8*q**2 - 11*q + 2. Let m be x(8). Suppose -4*h = -3*y + 256, -m = -5*y + 3*h - 14. Calculate the highest common factor of c and y. 16 Let g(q) = 3*q - q**3 + 6 - q - 3*q - 7*q**2. Let y be g(-7). Calculate the greatest common factor of 143 and y. 13 Suppose 0 = -3*g - 2*g + 2*c + 378, 4*c = 4*g - 312. Let t be g/10 - (-6)/(-15). Let l = -43 - -106. Calculate the highest common divisor of l and t. 7 Let f be (7 + -5)/(1/(-8)). Let q be -33 + 1 - (3 + -2). Let h = f - q. What is the highest common factor of 136 and h? 17 Let p = 33 + -23. Suppose -10*z + 25*z - 150 = 0. What is the greatest common divisor of p and z? 10 Let o(f) be the second derivative of 23*f**3/3 - f**2 + 8*f. Let l be o(3). Let r = 14 - -3. What is the highest common factor of l and r? 17 Let q = -10 + 4. Let a = q - -17. Calculate the greatest common factor of 33 and a. 11 Let b = 7 + -3. Calculate the greatest common divisor of 6 and b. 2 Suppose 138 + 75 = 3*o. Suppose 3*t - o = r, -2*t - 3*r = -t - 37. What is the highest common divisor of t and 10? 5 Suppose -4*h + 2*h = -58. Let j = -50 + 35. Let s = j + h. What is the greatest common factor of s and 42? 14 Let d be 57 - -2*(-1)/(-2). Let t = 84 - d. Let v be 4/(-6)*78/(-4). What is the greatest common factor of t and v? 13 Suppose 2*m = -m - i + 65, m + i = 25. What is the highest common factor of 20 and m? 20 Suppose 0*x + 2*x = 5*p - 10, -4*p + 41 = 5*x. Suppose -4*t = -x*t + 120. Calculate the greatest common factor of t and 48. 24 Let q(b) = -7*b**2 + 2*b - 1. Let s be q(1). Let v(j) = j**3 + 6*j**2 + 5*j. Let x be v(s). Let w = 15 - x. Calculate the highest common divisor of w and 30. 15 Let w(c) = c**2 - 7*c + 8. Let q be w(6). Suppose q*r = r + 119. What is the greatest common divisor of 17 and r? 17 Let p(f) = -f**2 - 18*f - 24. Let z be p(-15). Let g(a) = -3*a**3 - 3*a**2 - a. Let i be g(-2). What is the highest common factor of i and z? 7 Let o = -4 - -6. Suppose 2*s = -3*a + 5*a - o, 0 = 5*a - 10. Suppose 2*i = 5*i - 21. Calculate the highest common factor of s and i. 1 Let a be 12/16 - 4/(-16). What is the highest common factor of a and 8? 1 Let k(p) be the second derivative of -p**5/20 + p**4/2 - p**3/2 + 2*p**2 - 4*p. Let f be k(5). Calculate the highest common divisor of 42 and f. 14 Suppose -6 = -5*j + 4. Let y = j + -1. What is the greatest common divisor of y and 1? 1 Let t(g) = -15*g**3 - 2*g**2 - g. Let z be t(-1). Let x = 75 - 40. Calculate the highest common divisor of x and z. 7 Let m be -2 + (3 - (0 + 2)). Let l be 4/(m*3/(-3)). Suppose 4*f - 46 + 6 = 0. What is the greatest common divisor of l and f? 2 Suppose 30 = r - 5. Calculate the greatest common divisor of 5 and r. 5 Suppose 5*w = 5*q - 30, 2*q - 8 = q - w. Let l(o) = o - 15. Let s be l(q). Let b = 32 + s. What is the greatest common divisor of b and 36? 12 Suppose -2*y + 8 = p, 3*p + 27 = 2*p + 5*y. Let a be (-1*25)/(-1 - 0). Let k be (16/(-5))/(p/a). What is the greatest common divisor of 10 and k? 10 Let i(q) = 2*q**3 - 6*q - 6. Let x be i(3). Suppose 4*w + 21 = 1. Let b(t) = -t**2 - 6*t + 1. Let p be b(w). What is the highest common factor of p and x? 6 Let g = 16 - 11. Suppose 3*u + 44 = g*u. Let n(k) = k**2 + k + 33. Let o be n(0). Calculate the greatest common factor of u and o. 11 Let d = -224 + 359. Let v = 198 - d. Suppose -3*l + 0 = -v. Calculate the highest common factor of 3 and l. 3 Suppose g - 254 = -143. What is the greatest common factor of 3 and g? 3 Suppose 0 = 5*g - 2*n + 6*n - 580, 0 = 4*g - 2*n - 464. Let l(c) = -3*c + 92. Let t be l(21). What is the greatest common divisor of t and g? 29 Let d = -4 + 3. Let z be d + -2 + 9 + 0. Suppose 7 = q - 11. Calculate the greatest common factor of z and q. 6 Suppose 2*l - a = 17, -3*l - 2*a + 21 = 6. Suppose -3*v + 15 = -0. Suppose -v*g = -7 - 63. Calculate the highest common factor of g and l. 7 Suppose 4 = 4*c - 3*c. Suppose -125 = 5*j + c*g - 328, -4*g + 125 = 3*j. Calculate the highest common divisor of j and 13. 13 Let j(y) = -y + 11. Let o be j(8). Suppose -2*r - o*r = 200. Let a = 56 + r. Calculate the greatest common divisor of 8 and a. 8 Let w = -34 + 44. Calculate the highest common factor of w and 10. 10 Let h(i) = -i**2 - 3*i - 2. Let c be h(-2). Suppose -j - j + 32 = c. Calculate the highest common factor of j and 8. 8 Suppose 0 = -2*m - 3*j + 57, 0*j + 2*j - 78 = -3*m. What is the highest common factor of m and 120? 24 Suppose 0 = 2*t + 2*j - 242, 3*j + 363 = 3*t + 7*j. What is the highest common divisor of 11 and t? 11 Suppose 2*f + 2 = -3*u, 5*u + 1 = -f - 7. Suppose 0 = -f*s - 0*s + 2*k + 112, 3*s = -5*k + 152. What is the greatest common factor of s and 36? 18 Let b be 2*20/16*17*2. What is the highest common factor of 17 and b? 17 Let o(a) = a**3 + 3*a**2 - 2*a + 5. Let b be o(-4). Let u = b - -12. What is the greatest common divisor of 45 and u? 9 Let v(x) be the second derivative of -2*x**2 + 2/3*x**3 - x + 0. Let r be v(4). What is the highest common divisor of r and 3? 3 Let j(x) = -x**2 + 6*x - 1. Let t = 8 + -3. Let h be j(t). Suppose -4*n + 4*a = -29 - 39, -30 = -2*n - 2*a. Calculate the highest common divisor of n and h. 4 Let l be (-6)/(-15)*(58 + -3). What is the highest common divisor of l and 55? 11 Suppose 4*k = -y + 78, -3*k + 0*y = -4*y - 49. Calculate the greatest common divisor of k and 57. 19 Let x(c) = 4*c**2 + c + 10. Let k be x(-4). Suppose -3*g = 6*n - 3*n - 21, -g = -5*n + 53. What is the highest common factor of n and k? 10 Let y(k) = k**2 - k - 2. Let g be y(3). Suppose 0 = -3*v + g + 11. Suppose l - v + 0 = 0. What is the greatest common factor of l and 20? 5 Let u(x) = -x + 11. Let s(m) = 2*m**2 - m - 2. Let h be s(-2). Let l be u(h). Suppose -16 = -l*k + 35. What is the greatest common divisor of k and 17? 17 Let n(k) = -k + 154. Let j be n(0). Suppose 5*u = -0*u - 4*s + j, 5*s = 3*u - 85. Suppose -w - 50 = -6*w. What is the greatest common factor of u and w? 10 Let j(v) = 28*v - 17. Let i be j(4). What is the greatest common factor of 38 and i? 19 Let g(d) = -38*d + 35. Let b be g(-5). Calculate the greatest common factor of b and 25. 25 Let t(w) = -w + 1. Let b be t(-1). Let a = 17 + -1. Calculate the highest common divisor of a and b. 2 Let v be (-100)/(2/(-1)) + 1. Suppose 2*t - v = -t. Calculate the highest common divisor of t and 119. 17 Let b = -25 - -41. Let s(h) = 64 + 5 + 2 + 73 + h. Let f be s(0). What is the highest common factor of b an
{ "pile_set_name": "DM Mathematics" }
al of -3.4 and 59.124. 55.724 Add together 2213 and -0.11. 2212.89 -976.88 + -0.14 -977.02 What is the distance between -0.1 and 0.02124? 0.12124 Work out -0.45 - 0.06. -0.51 Add 29579 and 3. 29582 Work out 11978.2 - -0.5. 11978.7 Sum -0.499 and 1277. 1276.501 Work out -97 - 0.32. -97.32 What is 515407 + 4? 515411 What is 0.3 plus -2931.23? -2930.93 -0.027 - 0.174 -0.201 Total of 2 and 1755. 1757 Calculate 2233.3 - -0.5. 2233.8 What is the distance between 4 and 16658? 16654 2.066 - 0.016 2.05 What is 5 plus 0.02? 5.02 -0.2 + 4064 4063.8 What is 2719 minus -9? 2728 What is the difference between 292 and 1.312? 290.688 -0.3+-23973.8 -23974.1 Add together 392.1 and 0. 392.1 Calculate -6.95 + 2.86. -4.09 32.52 + -0.1 32.42 1598.3+0.01 1598.31 What is 5206.97 take away 3? 5203.97 Calculate 0.313 + 8. 8.313 Subtract 69 from 0.02036. -68.97964 What is -11 less than 8.79? 19.79 What is -76 - 37.78? -113.78 What is -591 less than -18.25? 572.75 What is -0.43 - 155229? -155229.43 Work out 1313 - -0.06. 1313.06 What is 0.03493 - 8? -7.96507 What is 3 take away 15989? -15986 What is the distance between 8 and -24.6? 32.6 What is 1310 take away 0.517? 1309.483 What is 4.86 + 61? 65.86 What is -10885 plus 5? -10880 What is 0.66 - -73335? 73335.66 What is -80 plus 3? -77 What is -10.461 - 9.1? -19.561 Total of -5 and -0.065308. -5.065308 Total of 0 and 4771829. 4771829 Work out 80774.68 + 0.1. 80774.78 Add together -4686973 and -2. -4686975 What is 1163 less than -3? -1166 Add -0.0599 and 0.51. 0.4501 What is -142 take away -2.3? -139.7 Work out -1.4 - -0.00694. -1.39306 Put together -0.7 and 0.44111. -0.25889 What is -1 - 0.0053? -1.0053 What is 888 - -10422? 11310 What is -0.19 take away -148.8? 148.61 What is 1.8 take away -45405? 45406.8 Calculate -28.9 + -0.011. -28.911 17 - 121.3 -104.3 Calculate -1.35 - 0.3. -1.65 What is -19.56 - -1.1? -18.46 Add together 52686 and 1. 52687 Put together -3 and 0.3534. -2.6466 What is the difference between -178 and 0.5? 178.5 Add together 2.373 and 10. 12.373 Add 0.5 and -0.2478. 0.2522 Sum 0.13 and -120.7. -120.57 What is the difference between 0.1733 and 0.3? 0.1267 What is -62 minus -12? -50 Calculate 0.12 + 63. 63.12 Work out 0.3 + -20460.6. -20460.3 Work out -0.211 + 228. 227.789 What is 89449 minus 9? 89440 Sum -40328 and 0.2. -40327.8 Subtract 207.3 from -1.92. -209.22 Work out -53112 + -0.03. -53112.03 3744+0.5 3744.5 Subtract 0.06 from 0.007. -0.053 What is -0.4 less than 1645? 1645.4 3085.616 - -4 3089.616 What is the distance between 55881 and 1.8? 55879.2 Calculate -0.1 - 377.9. -378 0.1+3076897 3076897.1 -18+-0.335269 -18.335269 Calculate -0.5 + 3845. 3844.5 -0.0553426 - 2 -2.0553426 What is 3179 + -0.2? 3178.8 Calculate -0.14 - 20.175. -20.315 0.14 + 18.41 18.55 Put together -0.6 and 230435. 230434.4 Sum 0.01 and -153. -152.99 Add together 7.4 and -77.4. -70 What is -0.10364 take away 1? -1.10364 What is 0.424 minus -4.9? 5.324 What is -0.066 + -34? -34.066 What is 0.122 minus -42? 42.122 Calculate 1543.1 - -2. 1545.1 Put together -0.254784 and -1.1. -1.354784 What is the distance between 0.1 and 14859? 14858.9 What is -521 take away 0.5? -521.5 What is -0.5 + -58.217? -58.717 What is -6.4 less than -5.31? 1.09 What is 0.035 - -0.28? 0.315 Put together -2.5 and -0.1132. -2.6132 Subtract 295 from 8. -287 What is -0.052361 + -2? -2.052361 What is the distance between 1 and 86371.5? 86370.5 What is 0.4733 take away 5? -4.5267 What is -0.167 - 0.02? -0.187 -0.08 + 156 155.92 Put together 0.20621 and -0.088. 0.11821 2 - -9023 9025 Add together -180 and 0.073. -179.927 Work out 0.3 + -230. -229.7 -5.099+-4 -9.099 What is 40 minus -4.88? 44.88 -109 + -0.075 -109.075 -54.74 + -212 -266.74 What is -10 minus -0.0465? -9.9535 Work out 0.2 - 1464.1. -1463.9 What is -2.751 minus 0.3? -3.051 -0.0113 + -0.642 -0.6533 Subtract -27.5391 from 0.27. 27.8091 Calculate 2 - 7188. -7186 What is -225 minus 0.058? -225.058 What is -0.1 + -9208? -9208.1 Subtract -5782 from -0.73. 5781.27 Work out -1738 - 636. -2374 What is 266 + 304? 570 Add together 0.1769 and 512. 512.1769 What is 1.987 take away 27? -25.013 What is the difference between -49 and -39686? 39637 What is -0.3 - 174? -174.3 What is -7365.59 less than 4? 7369.59 What is -29 - 7? -36 What is -152528 less than -0.4? 152527.6 What is 0.1943 minus -611? 611.1943 What is the distance between -0.254622 and -0.4? 0.145378 Add 329.4 and -4. 325.4 -8926 + 1.7 -8924.3 What is 580734 minus -0.5? 580734.5 Calculate 4311 - -0.088. 4311.088 What is -8 - 32259? -32267 What is -9 - 0.0552? -9.0552 What is the difference between -73.5 and 0.5? 74 Calculate 0.13 - -78. 78.13 Add -2778 and 4. -2774 Sum -167078 and 0.4. -167077.6 Work out -2492 - 32. -2524 What is -4694 minus -8? -4686 What is the difference between -0.0112421 and 0.1? 0.1112421 Work out -5 - 525.219. -530.219 57 + 2344 2401 Calculate 327 + 12. 339 Total of 981 and -1. 980 Work out 344 - -1551. 1895 What is -3.5 - -14? 10.5 What is the distance between 0.1649 and 4984? 4983.8351 Subtract 0.2 from 11090. 11089.8 2188+-0.03 2187.97 6.8 - 138 -131.2 Work out -0.1 - 161.868. -161.968 0.4 - -362 362.4 Work out -0.066 + -13. -13.066 What is -1 minus 8? -9 Sum 0.5 and -7487. -7486.5 Calculate 114.3 + 1456. 1570.3 What is the distance between 2497200 and 0.02? 2497199.98 Put together 0.0428 and -0.274. -0.2312 What is -5.105 take away 375? -380.105 What is the difference between 0.2083 and -4? 4.2083 0.189+-0.102 0.087 Calculate 17 + -944.615. -927.615 What is 3 minus -0.13? 3.13 Work out 53.49 + 1.2. 54.69 Add together 1.3 and -24023.6. -24022.3 What is -1048.2 plus 5? -1043.2 Add together -2 and -405. -407 What is -0.4 minus 12487? -12487.4 -0.6 - -1839 1838.4 Sum 6.8 and 169.8. 176.6 What is -0.1 + 15.86? 15.76 Add together -380 and 5. -375 What is -0.23 + -1.03? -1.26 What is -7743 - 0.76? -7743.76 What is -21163 - 0.4? -21163.4 What is -338 minus -3.516? -334.484 What is 0.4 plus -13534? -13533.6 Calculate -1.431 + -11. -12.431 -38.44 - -0.2 -38.24 What is -0.33 plus 63438? 63437.67 3+0.56 3.56 4.6 + -0.03251 4.56749 What is 10395 less than 0.5? -10394.5 Calculate 0.44 - 9.04. -8.6 Put together 34 and 60.712. 94.712 What is 0.02 minus 2.56? -2.54 What is the difference between 22531.6 and -5? 22536.6 What is the distance between 0.084 and 0? 0.084 Sum 0.001847 and -2.8. -2.798153 Work out 1914 - 7. 1907 Subtract -870 from -0.2. 869.8 Work out -3 - 10705. -10708 What is -0.178 + -42? -42.178 Total of 1622 and -0.3. 1621.7 Work out -227.5 + -204. -431.5 Total of -579 and -293.9. -872.9 Total of -0.2366 and -2. -2.2366 What is 4823 less than -357? -5180 What is -4 take away -313.597? 309.597 What is -0.2869 take away 0.26? -0.5469 Subtract -0.2 from -2.412. -2.212 Work out 0.6 + -28.683. -28.083 Add 0.9 and 0.47. 1.37 Sum -31 and -0.001. -31.001 Total of -858.104 and 0.1. -858.004 What is -42.84 - -3? -39.84 Subtract 0.7 from 1.16869. 0.46869 What is -2 take away 0.68948? -2.68948 230+248 478 2.13 - 11.2 -9.07 -49.7926+-0.4 -50.1926 What is 18.4 + -4? 14.4 Add -1558 and 0.5. -1557.5 What is 1650 take away -3? 1653 -31+0.063 -30.937 What is -0.158 less than 0? 0.158 Add -0.23 and 495. 494.77 What is -0.1 minus 390138? -390138.1 What is 5 - -1.945432? 6.945432 What is -845 minus 0.4? -845.4 Subtract 2 from 12612. 12610 What is -2.73309 minus -14? 11.26691 Work out 2293 - -0.863. 2293.863 What is -0.0231854 less than -0.04? -0.0168146 Subtract -0.12 from -777. -776.88 Work out -1534 - -0.7. -1533.3 What is the distance between -9.2 and 44.791? 53.991 Work out -14165 - -0.17. -14164.83 What is the difference between -0.36353 and 0.04? 0.40353 Calculate -9 - -174555. 174546 Subtract 2 from 909. 907 What is 39 - -12769? 12808 Add 19571 and 0. 19571 Work out 0.02 + -395. -394.98 Subtract 0 from 42944. 42944 What is -0.1 - -0.0088? -0.0912 Work out 1187.24 + -0.3. 1186.94 What is -2.436 less than 27? 29.436 Total of 3.3 and -10095. -10091.7 What is -2042 minus 7? -2049 What is 0.447 less than -311? -311.447 Sum 5 and -0.081. 4.919 Put together 0.0605 and -444. -443.9395 What is 0.08 minus -13222? 13222.08 2552 + -3 2549 Total of 100 and -4. 96 Add -2.7 and 0.038. -2.662 13867+0.5 13867.5 7.47 + 68 75.47 What is 0.5 minus -491
{ "pile_set_name": "DM Mathematics" }
711. What is s(-16)? 73 Let r(x) = -75*x**3 - 1354*x**2 - 175*x - 1850. Determine r(-18). 4 Let t(p) = -3*p**3 - 207*p**2 - 9*p - 499. What is t(-69)? 122 Let j(l) = 3*l**3 - 367*l**2 - 622*l + 1153. Give j(124). 905 Let f(w) = 249335*w + 2742590. Give f(-11). -95 Let s(n) = 887*n + 6013. Give s(-7). -196 Let b(s) = -103*s**2 + 161*s - 158. Determine b(1). -100 Let o(x) = x**3 + 378*x**2 + 2194*x + 542127. Calculate o(-376). -65 Let n(o) = o**2 + 57*o - 58. Determine n(-9). -490 Let c(b) = -6657*b + 39366. Give c(6). -576 Let f(n) = -n**3 - 134*n**2 - 1998*n + 10429. Calculate f(-116). -11 Let m(a) = 1582*a - 63147. What is m(40)? 133 Let o(r) = 898*r**2 - 9901*r + 255. What is o(11)? 2 Let i(p) = -44*p - 5922. Give i(-133). -70 Let n(q) = -6*q**2 - 77*q - 619. Determine n(-29). -3432 Let n(v) = 5*v**3 + 31*v**2 + 3*v - 32. What is n(1)? 7 Let r(j) = 13*j**2 - 4061*j - 2507. Calculate r(313). -3 Let x(g) = 5*g**2 + 3403*g + 59653. What is x(-18)? 19 Let t(l) = l**2 - 54*l + 418. Give t(11). -55 Let h(c) = 2949*c + 1223912. What is h(-415)? 77 Let a(v) = -8*v**2 + 7472*v - 14940. Give a(2). -28 Let g(m) = 2*m**2 - 1419*m - 75962. What is g(-50)? -12 Let h(q) = -89*q**3 - 12*q**2 - 65*q - 81. Determine h(-3). 2409 Let c(f) = -43*f**2 - 443*f - 35. Calculate c(-10). 95 Let t(y) = 373*y + 80293. Determine t(-213). 844 Let x(p) = -2*p**2 - 57360*p - 745347. What is x(-13)? -5 Let k(w) = -194*w - 582. Calculate k(0). -582 Let k(c) = -2*c**3 - 8*c**2 - 6952*c - 34816. Give k(-5). -6 Let b(r) = 8*r**2 + 74*r - 5880. Determine b(-32). -56 Let t(w) = -10946*w + 54146. Determine t(5). -584 Let d(a) = 5374*a - 102101. Give d(19). 5 Let u(t) = -t**3 + 7*t**2 - 689*t + 5417. Determine u(8). -159 Let w(k) = 24*k**3 - 125*k**2 - 35*k + 125. What is w(5)? -175 Let b(a) = -a**3 - 83*a**2 - 1481*a + 1746. What is b(-56)? 10 Let q(z) = -86*z**2 + 20443*z - 20443. Determine q(1). -86 Let b(k) = k**3 - 25*k**2 - 891*k + 24. Calculate b(44). -2396 Let m(p) = 19*p**3 - 483*p**2 - 277*p - 224. Calculate m(26). 10 Let o(d) = 12096*d - 84575. What is o(7)? 97 Let i(f) = -139685*f + 2374637. Calculate i(17). -8 Let v(k) = 22*k**2 - 5231*k + 31562. What is v(6)? 968 Let z(t) = 9*t**3 + 21*t**2 - 71*t - 6. Calculate z(3). 213 Let o(j) = 1586*j + 19148. Determine o(-12). 116 Let w(z) = -z**2 + 411*z - 33555. What is w(102)? -2037 Let y(b) = 873*b + 23555. Calculate y(-27). -16 Let v(q) = -q**3 - 38*q**2 + 165*q - 159. What is v(-42)? -33 Let o(t) = -37*t**2 + 132*t - 275. What is o(2)? -159 Let k(g) = 18*g**3 + 19*g**2 + 57*g + 39. Calculate k(-3). -447 Let r(q) = 2*q**3 + 99*q**2 + 59*q + 485. Determine r(-49). -5 Let w(c) = -3*c**2 + 786*c + 15849. Calculate w(-20). -1071 Let q(t) = -218*t + 431. Give q(0). 431 Let b(r) = -r**2 + 99*r - 1594. What is b(22)? 100 Let j(m) = -m**2 + 3086*m - 205224. Calculate j(68). 0 Let b(q) = -37*q**2 - 5541*q + 1372. Determine b(-150). 22 Let s(z) = -2*z**3 + 68*z**2 - 339*z + 1334. Give s(29). -87 Let r(s) = -796*s - 250706. What is r(-315)? 34 Let w(q) = -8496*q - 509313. Determine w(-60). 447 Let j(k) = k**3 - 111*k**2 + 354*k - 3205. Give j(108). 35 Let c(x) = 7*x**2 - 418*x - 2488. Determine c(65). -83 Let y(f) = 3*f**3 - 2*f**2 + 6*f + 7. Determine y(-3). -110 Let i(a) = 5*a**2 - 775*a + 23744. Calculate i(113). 14 Let c(y) = -5*y**2 - 268*y - 19. Give c(-53). 140 Let a(y) = -1100*y**2 + 6609*y - 64. What is a(6)? -10 Let o(a) = 308470*a - 4010144. Calculate o(13). -34 Let j(q) = 51*q - 30587. Determine j(601). 64 Let v(j) = 18*j**2 - 5836*j + 12630. Give v(322). -250 Let o(f) = 3*f**2 - 3188*f - 19309. Calculate o(-6). -73 Let o(q) = q**3 - 2196*q**2 + 32680*q + 76323. Give o(2181). -12 Let y(g) = -15*g**2 + 138*g + 588. Determine y(-4). -204 Let y(d) = -151632*d - 70053990. What is y(-462)? -6 Let r(v) = -198*v - 3364. Determine r(-12). -988 Let d(n) = -116034*n + 580172. Give d(5). 2 Let l(k) = 14*k**2 + 507*k - 1600. What is l(3)? 47 Let s(o) = 45*o**2 + 5208*o + 85251. What is s(-96)? 3 Let p(c) = c**2 - 1690*c + 8330. Determine p(5). -95 Let o(p) = 1860*p - 91101. Calculate o(49). 39 Let w(k) = -4*k**3 + 7*k**2 + 97*k - 247. Determine w(4). -3 Let d(p) = -42*p**3 + 71*p**2 - 80*p + 16. Determine d(1). -35 Let f(a) = 122102*a + 2808301. Give f(-23). -45 Let f(r) = -2705*r - 24536. Determine f(-9). -191 Let c(h) = 7*h**2 - 2765*h + 64710. Give c(370). -40 Let f(y) = -5*y**3 + 192*y**2 - 68*y - 287. Give f(38). 17 Let t(i) = 7*i**2 + 719*i + 3403. Give t(-5). -17 Let u(b) = -90*b**2 + 763*b - 7. Give u(9). -430 Let m(s) = s**3 - 2044*s**2 - 68531*s + 326. Determine m(-33). -4 Let b(a) = 2*a**2 - 8776*a - 247289. Determine b(-28). 7 Let a(q) = -409*q**2 - 19969*q - 72. Determine a(-49). -3600 Let u(f) = -28265*f - 4239742. Calculate u(-150). 8 Let t(u) = 178592*u + 357193. Determine t(-2). 9 Let d(b) = 38*b**2 - 183*b - 500. Give d(-4). 840 Let o(k) = -2*k**3 - 33*k**2 + 125*k + 2303. Determine o(-17). 467 Let x(k) = k**3 - 2*k**2 - 1022*k + 2055. Give x(2). 11 Let u(n) = -2*n**3 + 24*n**2 + 372*n - 3383. What is u(7)? -289 Let q(l) = 2374*l + 16452. Give q(-7). -166 Let p(w) = -2896*w - 58141. Determine p(-20). -221 Let o(f) = 6*f**3 + 173*f**2 - 30*f - 51. Calculate o(-29). -22 Let k(j) = j**3 + 87*j**2 + 695*j - 446. What is k(-78)? 100 Let s(r) = 79*r**2 - 5823*r - 20008. What is s(77)? 12 Let a(i) = -3*i**2 - 329*i - 2676. Calculate a(-101). -50 Let p(v) = 4267*v**2 + 21304*v - 189. Calculate p(-5). -34 Let a(f) = -4357*f + 766834. Determine a(176). 2 Let c(k) = 2*k**3 + 55*k**2 - 171*k - 1386. Determine c(6). 0 Let a(c) = 71*c - 13453. What is a(151)? -2732 Let h(a) = 3*a**2 - 4373*a - 39605. What is h(-9)? -5 Let i(v) = 4*v**2 - 94*v + 239. Determine i(21). 29 Let z(j) = -170740*j + 9049225. Give z(53). 5 Let p(n) = n**2 - 33038*n + 693356. Calculate p(21). -1 Let h(x) = -644*x - 7921. Calculate h(-13). 451 Let v(b) = 9097*b - 345689. Calculate v(38). -3 Let s(u) = -u**3 - 24*u**2 + 37*u + 36. Calculate s(-25). -264 Let c(y) = -5208*y - 135415. Give c(-26). -7 Let p(s) = -53073*s + 265322. Calculate p(5). -43 Let c(d) = d**2 + 469*d + 52709. Give c(-283). 71 Let j(y) = y**3 - 29*y**2 - 348*y + 2899. Calculate j(6). -17 Let t(f) = 7*f**2 - 1206*f + 1157. Determine t(171). -382 Let b(x) = 3*x**2 - 126*x - 1343. Determine b(50). -143 Let d(k) = -131*k**2 + 123*k + 16. What is d(1)? 8 Let k(f) = f**3 + 39*f**2 + 348*f + 4094. Calculate k(-32). 126 Let r(x) = 57*x - 3651. What is r(47)? -972 Let s(w) = 2*w**3 - 89*w**2 - 905*w + 195. Determine s(53). -17 Let n(a) = -2405*a - 303031. What is n(-126)? -1 Let p(n) = 2*n**3 - 200*n**2 + 24*n - 2520. Determine p(100). -120 Let n(z) = -489177*z - 3913431. Determine n(-8). -15 Let h(b) = b**3 + 36*b**2 + 204*b + 29. What is h(-20)? 2349 Let j(c) = -c**3 + 72*c**2 - 1316*c + 95. What is j(42)? -2257 Let h(q) = -4*q**2 + 140*q - 1083. What is h(8)? -219 Let m(d) = -1481*d - 10145. Determine m(-7). 222 Let i(k) = -4795*k + 71934. Give i(15). 9 Let y(v) = -3*v + 82. Calculate y(-48). 226 Let h(f) = -135261*f + 946822. Determine h(7). -5 Let y(m) = 19*m**3 + 16*m**2 - 18*m + 2. What is y(3)? 605 Let m(j) = -2*j**2 - 160*j - 3639. Calculate m(-43). -457 Let u(q) = q**3 + 35*q**2 + 248*q + 8308. Give u(-36). -1916 Let d(w) = -83285*w - 10660488. Determine d(-128). -8 Let d(b) = 2133*b + 831870. Determine d(-390). 0 Let u(q) = -55*q**2 - 10*q + 139. What is u(6)? -1901 Let v(m) = -m**3 - 147*m**2 + 1251*m - 92. Calculate v(-155). -1797 Let m(f) = -7*f**2 + 130*f - 827. Determine m(13). -320 Let m(u) = 11*u**3 + 690*u**2 - 191*u - 106. Determine m(-63). 20 Let w(k) = k**3 - 142*k**2 + 298*k - 2331. Determine w(140). 189 Let q(f) = f**3 + 824*f**2 + 1394*f - 205568. What is q(-822)? -68 Let p(y) = 117*y + 15021. Determine p(-126). 279 Let m(j) = -19*j**2 + 638*j + 2396. What is m(37)? -9 Let w(v) = 3*v**2 - 4010*v + 32134. Calculate w(8). 246 Let i(y) = -958*y - 6673. What is i(-7)? 33 Let s(u) = 553*u + 8297. What is s(-15)? 2 Let b(u) = -2*u**2 + 396*u - 8116. Give b(23). -66 Let j(g) = g**3 - 640*g - 6210. Determine j(-14). 6 Let w(y) = -y**3 + 31*y**2 - 44*y + 574. Calculate w(30). 154 Let o(g) = -39403*g**2 - 275817*g + 25. What is o(-7)? -3 Let k(q) = 61*q**2 + 2781*q + 1530. What is
{ "pile_set_name": "DM Mathematics" }
5/4 Evaluate 1/8 + 403/(-1240). -1/5 Calculate 3*(-7)/(-21)*(5 + -1). 4 What is 1/((-15)/9*4/(-20))? 3 What is the value of ((-42)/(-20))/7*(-6)/9? -1/5 What is (-578)/153 - 6/27? -4 What is the value of (-33)/22*8/(-42)? 2/7 ((-2)/6)/((-65)/(-15) + -4) -1 Evaluate -11 - (8 + -10 + -7). -2 What is 6/(-4)*22/33? -1 What is the value of 1612/(-5928) - (-4)/38? -1/6 Calculate (-7*36/(-714))/(2 - -1). 2/17 Evaluate -1 + -5 + -21*(-64)/228. -2/19 (548/(-60) - -9)/(2/3) -1/5 -8 - (-10 - (-27)/12) -1/4 0*(1 + 4*(-2)/12) 0 Evaluate 136/(-224)*-20 + -12. 1/7 Calculate (-2)/10 - 0/3. -1/5 Calculate (-81)/108*(-10)/(-3)*2. -5 (5 - 6) + -3 - -2 -2 Evaluate (-58)/6 + 328/123. -7 What is the value of (1/(-5) - 1)*25/10? -3 Evaluate 2/((-5)/3 + 1). -3 Evaluate ((-235)/(-70) + -4)*(-60)/135. 2/7 (-18)/10 - (-6)/(-30) -2 What is the value of (-2*3/3)/(-4)? 1/2 What is 2/3 + (-6)/2 + 2? -1/3 (-2)/34*(17 - 15) -2/17 What is 1/3*4*(-5)/(-10)? 2/3 Calculate 11/7 + 7/(-7). 4/7 Calculate (-2)/(8/12) + 2*-1. -5 (-24)/54 + (-549)/(-324) 5/4 Evaluate (-1 - 39/(-45))/(8/36). -3/5 Calculate 1/(-1) + (-180)/(-300). -2/5 Evaluate (-112)/42*12/(-400). 2/25 (-414)/344 - (-25)/20 2/43 Calculate ((-8)/(-2) - -1)*(-87 - -86). -5 What is 9 - 11 - (1 - (0 + 1))? -2 Calculate (-4)/154*(-15)/30*7. 1/11 What is the value of 22/(-165) + (-5)/(-15)? 1/5 What is the value of (-4 + 14)*(-3 - 24/(-10))? -6 Calculate (-4)/(-9)*(-180)/(-40). 2 60/120*(-8)/(0 - 1) 4 Calculate (-4 + (-60)/(-8))/((-6)/(-12)). 7 What is ((-2)/4)/(-8*(-1)/48)? -3 What is the value of (9 + -23)*12/84? -2 Calculate (-60)/75*10/(-12). 2/3 Calculate 2/6 - 4/12*10. -3 What is the value of 6/(-60)*136 - -14? 2/5 Calculate (1 + 0)*(-2)/(-2) + -2. -1 What is 3*(-1 - (-13)/6 - 1)? 1/2 What is 4/((-16)/14) + 6/(-4)? -5 What is 27/(-36) - (-3)/4? 0 Calculate (((-3)/2)/(-1))/((-36)/96). -4 What is 1*((-3)/6)/(8/(-32))? 2 What is the value of -2*(-5)/(-5)*-2? 4 What is (2/36)/(23/(-46))? -1/9 What is 1 - -1 - -9*(-2)/8? -1/4 (2*(-8)/((-48)/18))/(-1) -6 Calculate (-4)/(-14) + (-62)/70. -3/5 Calculate ((-360)/1080)/(((-4)/(-54))/(-2)). 9 (-588)/140 - (-20)/(-25) -5 (-14)/12*(-2097)/6524 3/8 Calculate 2 - ((-3)/4)/((-117)/182). 5/6 Evaluate (30/9)/5 + (-21)/42. 1/6 What is the value of ((-12)/(-16))/((-1080)/(-192))? 2/15 Evaluate (-56)/(-80) - 1 - 1/5. -1/2 What is 2 + (-9 - -5) + (-6 - -2)? -6 What is the value of (0/13)/(-7 + 6)? 0 ((-21)/245)/((-105)/50 - -2) 6/7 What is (3/(-24)*1)/((-1)/(-10))? -5/4 Calculate (-1)/(-7)*14/20. 1/10 What is ((-42)/(-315))/((-2)/(-6))? 2/5 Evaluate (-2)/18 + 8280/1620. 5 Evaluate -10 + (-13)/((-52)/24). -4 Evaluate -2 + 0 + 4 + 7/(-6). 5/6 What is the value of (4/5)/(41/((-451)/22))? -2/5 What is 51/(-108) + 2/9? -1/4 What is the value of 2/12*3/2? 1/4 Calculate (-75)/(-100)*(-1 + 38/30). 1/5 (28/(-42))/((-30)/(-27)) -3/5 (-50)/925 - (-4)/74 0 Calculate (-140)/910 - (2/(-13) + 1). -1 What is (-5)/5 + (2 - 3)? -2 638/4147 - (-17)/143 3/11 (-2 + 6 - 5)/(6/24) -4 What is 20/150 - (0 - 1/15)? 1/5 (-6)/(4 + -2) + -4 + 5 -2 What is the value of 41/35 - 15/25? 4/7 What is the value of 0 - 5*(-2)/(-5)? -2 Evaluate (-352)/260 + 18/15. -2/13 Calculate (5/(-20))/(75/40*2). -1/15 Calculate (252/336)/(18/(-4)). -1/6 Calculate (0 + -7)/35 + (-9)/5. -2 Calculate (-14)/(-15)*6/7. 4/5 Calculate ((-2)/3)/((-6)/(-9)). -1 Evaluate (-1 + 5 - 5)*4/(-20). 1/5 (14/56)/(2/2) 1/4 Calculate (1/(-2))/(2*6/(-72)). 3 770/(-616) - (-7)/(-4) -3 ((-48)/(-18) - 2)*-6 -4 Calculate (12 + (-1053)/91)*(-2)/(-2). 3/7 What is 534/(-623) + (-8)/(-42)? -2/3 Calculate -2 + 2 + (-18)/(-63). 2/7 Calculate (-2)/8 - (-56)/32. 3/2 Evaluate 1 + 3*(6 + -12 + 3). -8 (-2 - -1)*(-10 + 9) 1 (-10)/(-4)*(-12)/120 -1/4 Calculate (-15)/51*20/50. -2/17 Calculate (-36)/9*(-1)/(-2). -2 (-2)/((-605)/45 - 24/(-54)) 2/13 Calculate 0/(3 - (-6 + 7)). 0 Calculate -2*(12/8 - 2). 1 What is the value of (-4)/((468/(-45))/(-13))? -5 What is 196/70 - 1*(-1)/5? 3 Calculate (-30)/40 - 4 - -5. 1/4 What is (-5 - 33/(-9))/((-84)/36)? 4/7 Calculate 1660/(-100) + 17 + 33/(-95). 1/19 Calculate ((-16)/(-3))/4 + (-32)/(-192). 3/2 -8 + 3 + 2 - 0 -3 What is the value of 0 - 10/700*10? -1/7 (-8)/(-2) - 20/4 -1 4 - 90/(8 + 1) -6 Calculate (-40)/60*(-3)/7. 2/7 Evaluate (2/10)/(2/(-4)). -2/5 Calculate (-14)/7 + (-7 + 3)*1. -6 Evaluate 57/(-190) + 6/20. 0 Evaluate (-4)/(-12)*(19 + -4). 5 What is the value of 3*(-2)/3*(-175)/(-50)? -7 Evaluate (9 - 3) + (-25)/5 - -6. 7 What is (-4)/(11/(110/(-40)))? 1 Calculate (2/(-2) + -3)*(-3)/(-3). -4 What is the value of 1*((-54)/15 + 4)*-5? -2 What is the value of 24/54 + 3 + (-201)/27? -4 Evaluate (-5 + 1 - 182/(-28)) + -2. 1/2 Calculate 272/(-238) - (-268)/210. 2/15 Evaluate 39/63 - (-1)/(-3). 2/7 (-1956)/(-815) - (-6)/(-10) 9/5 Calculate (1*2)/(34 - 22). 1/6 Calculate 3/2*(-3 - (-340)/108). 2/9 What is the value of -6 + (-80)/(-14) - (-6 + 6)? -2/7 Calculate (10 - 234/27)*-3. -4 What is the value of (-10)/(-45) - -1*129/27? 5 Calculate 2*(1 - (-10)/(-4)). -3 9/11 - (-2 - -3) -2/11 Evaluate 16/(-2) + (-2769)/(-351). -1/9 Calculate 6*-2*(7/3)/(-7). 4 Calculate (1 + -1)/((-11)/(-11) - 3). 0 What is 18/(-4)*1 + (-39)/78? -5 (2/56)/(((-377)/104)/(-29)) 2/7 Evaluate -1 + -4 + 7 + -2. 0 Calculate (-2 - 15/(-9))/((-8)/3). 1/8 1 + 5/10 + 20/(-8) -1 Evaluate (-12)/3*(-4 - (-14)/4). 2 Evaluate (-5)/10 + 10/4 - 7. -5 What is the value of (-12)/(-10)*25/15? 2 What is 11*2/60 - 21/42? -2/15 What is 5 - (3/4)/((-36)/(-256))? -1/3 What is (-1 - 3/6)*(-84)/(-315)? -2/5 Evaluate 4*(2/8 + (-25)/(-20)). 6 Evaluate (2/(-6))/(2/6). -1 What is (-2)/8*(-10 + -1 - -7)? 1 Calculate (-5 + 6 + 0)*0. 0 Evaluate 40/50*(-10)/28. -2/7 What is the value of ((-1092)/8)/13 - -10? -1/2 What is (-2)/3 - (-4 - (-3)/9)? 3 Calculate ((-20)/75)/(((-72)/(-15))/(-4)). 2/9 Calculate ((-12)/(-78))/(275/65 + -4). 2/3 Evaluate ((-1)/(3/(-15)))/(2 - 3). -5 Evaluate (-24)/(-80)*(-4)/3. -2/5 Calculate (-27 - -28)*(-2)/6. -1/3 Calculate (-1)/10*(14 + -8 + 2). -4/5 Calculate (4 - (-52)/(-12))/(3/(-36)). 4 What is -1*(35/(-6) + 6)*-3? 1/2 Evaluate (-153)/45 - 5/((-15)/12). 3/5 What is (-114)/(-16) - (92 + -85)? 1/8 What is 6/28*(-20)/(-15)? 2/7 Calculate 17/255*(-10)/(-3). 2/9 Calculate 6*(-6)/(-9)*-1. -4 What is the value of 1*(-3 + 8/6)? -5/3 13/(-26)*(-3 + 1) 1 Evaluate (3/(-6))/(1/(-6)). 3 Calculate ((-18)/(-30) + (-70)/(-50))/(-2). -1 Calculate 10 + -8 - 168/77. -2/11 ((-46)/(-18) - 3)*1/4 -1/9 What is (-1 + -2)/((-10)/((-100)/6))? -5 Evaluate -3*5/(105/(-49)). 7 What is (84/(-1134))/(21/18 - 1)? -4/9 Evaluate 114/(-270) - (-1)/5. -2/9 Evaluate (378 + -363)*((-2)/6)/1. -5 What is the value of ((-96)/42)/8 + 44/203? -2/29 What is the value of 4/(-32) + (-52)/32*3? -5 What is the value of -12 - (-3 + -8 + 7)? -8 5/(8/(-8))*(-2)/(-35) -2/7 What is 88/(-156) + (-69)/(-299)? -1/3 ((-123)/45 + 3)/(100/75) 1/5 What is (-1)/(14/(-4)) + (-777)/147? -5 Evaluate (-4)/3*(-21 + 24). -4 What is (3*2/60)/3*3? 1/10 Calculate (-16)/(-6)*7*51/(-238). -4 What is (-15)/561 - (-2)/(-154)*7? -2/17 Calculate (-4)/(-1)*(-47)/94. -2 What is the value of 18/(-2 - -5) + (-152)/28? 4/7 Evaluate 1/((4 - 5)*1). -1 What is (-3 - (-215)/70)*(-6 + 10)? 2/7 What is 48/(-36)*4*(-3)/(-32)? -1/2 Evaluate (-57)/9 + 34/(-51). -7 What is ((-1)/(-3))/(-8*(-4)/(-120))? -5/4 What is (-50)/14 - (-219)/(-511)? -4 Calculate (-56)/(-147) - (-4)/14. 2/3 Calculate (44/(-12) - -4)/1. 1/3 What is the value of (-100)/(-66) - (171/33 + -5)? 4/3 What is the value of (12/(-15 + 3))/((-5)/(-3))? -3/5 Calculate (20 - 11)/(-18)*(-4)/21. 2/21 Calculate (-21)/105 - (-1)/(40/3). -1/8 What is the value of 5 - ((-36)/27 - (-4 - 3))? -2/3 ((-42)/(-35))/(9/15) 2 Calculate -14 + 11 - 1*-3. 0 Evaluate ((-2)/(-3 + 81))/((-6)/36). 2/13 What is (-5)/2 + 9/(-18)? -3 -9 - (2037/(-33))/7 -2/11 0/(-1 + 3) + (-8)/28 -2/7 What is the value of (-28)/(-70) - (-52)/(-180)? 1/9 Evaluate (-3)/2*1*10/(-5). 3 Calculate 162/(-1224) - ((-4)/(-34) - 0). -1/4 What is the value of 117/(11 - 24) + 5/1? -4 What is (16/40)/(18/(-10))? -2/9 What is -5*(20/(-25))/(-1)? -4 3/(-2) + 7/(-14) -2 What is (-12)/(-30)*150/12? 5 What is (10/50)/((-1)/2)? -2/5 What is the value of 0/1*7/(-14) - -4? 4 What is the value of ((-60)/154)/(-2) + 10/(-35)? -1/11 What is the value of (
{ "pile_set_name": "DM Mathematics" }
64 and 3232. 32 Calculate the highest common divisor of 29244 and 36948. 12 What is the highest common divisor of 22333 and 92989? 23 Calculate the highest common divisor of 122892 and 46557. 21 What is the greatest common divisor of 63 and 8587992? 21 What is the greatest common divisor of 345040 and 2976160? 1520 What is the highest common factor of 8 and 5818316? 4 Calculate the highest common divisor of 952 and 8465632. 56 What is the highest common divisor of 4421186 and 38038? 2926 Calculate the highest common divisor of 500 and 16116700. 100 What is the greatest common divisor of 2478552 and 16592? 488 Calculate the greatest common divisor of 1148007 and 26187. 21 What is the greatest common factor of 7194 and 44886963? 3597 Calculate the highest common divisor of 57821186 and 70876. 2726 What is the highest common factor of 641035 and 147559? 2419 Calculate the greatest common factor of 5633 and 187222. 43 Calculate the highest common divisor of 3614330 and 2620. 10 Calculate the greatest common divisor of 5922 and 731506590. 846 Calculate the greatest common divisor of 758 and 32672074. 758 Calculate the highest common factor of 25893 and 2738904. 2877 Calculate the greatest common divisor of 6675 and 1131825. 75 What is the greatest common factor of 2019 and 216378249? 2019 What is the highest common factor of 2562984 and 16? 8 Calculate the highest common divisor of 22584 and 552. 24 Calculate the highest common factor of 3387622 and 224. 14 What is the highest common divisor of 55 and 16721221? 11 Calculate the highest common divisor of 4387308 and 1298697. 6729 What is the greatest common factor of 13035 and 16991715? 1185 What is the greatest common factor of 1809 and 16239717? 27 What is the greatest common divisor of 3519 and 1026477? 153 What is the greatest common divisor of 378448 and 3296? 16 What is the greatest common factor of 14585382 and 315? 63 What is the highest common factor of 273776 and 4960? 16 What is the highest common divisor of 52725 and 170829? 2109 Calculate the greatest common factor of 1103414102 and 106. 106 Calculate the highest common factor of 5854100 and 2700. 100 What is the highest common divisor of 68755 and 6465? 5 Calculate the highest common divisor of 8763 and 49159668. 381 Calculate the highest common factor of 56929290 and 14520. 3630 What is the highest common divisor of 9118 and 147956? 94 Calculate the highest common divisor of 31918428 and 24. 12 What is the greatest common divisor of 174088 and 99264? 376 Calculate the highest common divisor of 14147 and 6545245. 301 What is the greatest common factor of 116403212 and 12? 4 Calculate the highest common divisor of 417 and 21431437. 139 Calculate the highest common factor of 4381419 and 35511. 399 What is the highest common factor of 3545979 and 51? 51 Calculate the highest common divisor of 48785554 and 32484. 5414 Calculate the highest common divisor of 14 and 2553458. 2 What is the greatest common factor of 122184 and 22536? 72 What is the highest common divisor of 47208499 and 78? 13 What is the greatest common factor of 7199543 and 91? 13 What is the greatest common divisor of 1056711 and 3? 3 What is the greatest common factor of 3618775 and 11425? 25 What is the greatest common factor of 40 and 12003560? 40 Calculate the greatest common divisor of 527 and 65078331. 31 What is the highest common factor of 547948 and 128? 4 Calculate the greatest common factor of 11415495 and 90. 15 What is the greatest common divisor of 675 and 7937295? 15 What is the highest common factor of 11693280 and 5235? 15 What is the greatest common divisor of 96146722 and 784? 98 What is the greatest common divisor of 2186 and 23426? 2 Calculate the greatest common factor of 370 and 10093822. 74 Calculate the highest common factor of 3734826 and 2190. 438 Calculate the greatest common divisor of 4576558 and 1068. 178 Calculate the highest common divisor of 5795 and 23283151. 1159 Calculate the greatest common factor of 496470 and 170113. 67 What is the greatest common divisor of 19150 and 103641715? 1915 What is the highest common divisor of 82127928 and 9672? 744 What is the greatest common divisor of 5874582 and 987? 21 What is the greatest common divisor of 140 and 4205? 5 What is the highest common factor of 2075843 and 28? 7 Calculate the greatest common divisor of 2147 and 1325366717. 2147 What is the highest common divisor of 9423 and 11914860? 1047 What is the greatest common factor of 1056715 and 2475? 55 Calculate the greatest common factor of 261 and 26563884. 87 Calculate the greatest common divisor of 10146261 and 24. 3 What is the highest common factor of 892 and 53396? 4 Calculate the highest common divisor of 30 and 22636155. 15 Calculate the greatest common divisor of 26060241 and 63307. 1711 What is the highest common factor of 283 and 624345261? 283 Calculate the greatest common divisor of 156 and 164555612. 52 Calculate the highest common factor of 6040024 and 14536. 632 Calculate the greatest common factor of 2980485 and 315. 45 Calculate the highest common factor of 689 and 93021890. 689 What is the greatest common divisor of 211981 and 77? 77 Calculate the highest common divisor of 692087 and 507037. 3701 What is the highest common divisor of 429730 and 565? 5 Calculate the greatest common factor of 493 and 84541. 17 What is the greatest common divisor of 67713109 and 6418? 3209 What is the highest common divisor of 1746 and 449892402? 582 What is the greatest common divisor of 579698 and 5264? 658 What is the greatest common factor of 694 and 17838229? 347 What is the highest common factor of 273559 and 406263? 143 What is the greatest common factor of 1626 and 113349? 3 Calculate the greatest common factor of 6255 and 745596. 1251 What is the greatest common divisor of 1576 and 27212? 4 What is the greatest common divisor of 6040 and 50468730? 1510 What is the greatest common factor of 24008997 and 339? 339 What is the greatest common divisor of 66 and 107651082? 66 What is the greatest common factor of 1206926469 and 9788? 2447 What is the highest common factor of 20302335 and 5355? 765 What is the greatest common divisor of 135 and 75867705? 135 Calculate the greatest common factor of 2475352 and 64. 8 Calculate the greatest common divisor of 42 and 9223152. 6 What is the greatest common divisor of 32 and 89916424? 8 What is the greatest common factor of 5353 and 791237? 53 What is the greatest common factor of 852219 and 95049? 1611 Calculate the greatest common factor of 12019 and 6830327. 707 What is the highest common factor of 81 and 26417799? 27 What is the greatest common factor of 3720 and 279900? 60 Calculate the highest common factor of 5577705 and 450. 45 Calculate the highest common divisor of 84400 and 2808410. 2110 Calculate the greatest common factor of 9570 and 22710. 30 Calculate the highest common divisor of 550 and 12398650. 550 What is the greatest common divisor of 200607 and 787677? 33 What is the greatest common factor of 835 and 260815590? 835 What is the highest common factor of 209 and 8234809? 209 Calculate the highest common divisor of 150671 and 1598. 17 What is the highest common divisor of 8476 and 9830041? 2119 Calculate the greatest common divisor of 90 and 115393470. 30 What is the greatest common factor of 6442 and 69228953? 3221 Calculate the highest common factor of 6 and 13664138. 2 Calculate the greatest common divisor of 2672 and 2112884. 668 What is the greatest common divisor of 45701205 and 33? 33 Calculate the greatest common factor of 1048549792 and 32. 32 Calculate the greatest common divisor of 49817 and 1357915. 1607 Calculate the greatest common divisor of 7453 and 39066056. 257 What is the greatest common divisor of 508339161 and 13332? 3333 What is the highest common factor of 608036 and 9542? 26 Calculate the highest common divisor of 50641544 and 88. 8 What is the highest common factor of 2489 and 1245548? 131 Calculate the highest common factor of 45172 and 28727. 23 Calculate the greatest common divisor of 56 and 3516723. 7 Calculate the greatest common factor of 199950 and 24653370. 930 What is the greatest common factor of 27269193 and 7? 7 What is the greatest common
{ "pile_set_name": "DM Mathematics" }
h is the nearest to -2? (a) -4 (b) 0.2 (c) 3/5 (d) 2/5 a What is the closest to 3 in 0.3, 2/3, 18, 4/3? 4/3 What is the closest to 609 in 1/3, -5/4, -0.5? 1/3 What is the closest to -2/39 in 0, 1/4, 2/11, 4? 0 Which is the closest to 0.05? (a) -4 (b) 5 (c) -0.05 (d) 0.3 c Which is the nearest to 0? (a) 0.335 (b) 0 (c) 0.4 b What is the nearest to 0.1 in 0.5, 0.3, -4, -3? 0.3 What is the closest to -0.1 in 1/4, -0.1, 12? -0.1 What is the closest to 1 in -0.1, -0.4, -1/51, -2? -1/51 What is the closest to 0.1 in -198, -2, 3? -2 What is the nearest to -42 in -3/4, 0.4, 1? -3/4 Which is the closest to 0.2? (a) -0.1 (b) -3 (c) 2/11 (d) -228 c What is the closest to 1/2 in -2/3, -15, 3, 0.2? 0.2 Which is the nearest to 1? (a) 1/4 (b) 0.4 (c) 0.1 (d) 3 b Which is the closest to -3? (a) -0.5 (b) -2/9 (c) 87 a Which is the closest to 2/15? (a) -2/5 (b) 8 (c) -0.5 a Which is the nearest to -1? (a) 16 (b) -0.2 (c) -0.3 c What is the closest to -1/21 in -1/2, -4, 0.1, -3? 0.1 Which is the nearest to -2/9? (a) 2/13 (b) 10 (c) -3/2 (d) -26 a Which is the nearest to -0.1? (a) -2/85 (b) 4 (c) -0.1 c What is the closest to -1/2 in 0.1, 2/31, -0.5, 0? -0.5 What is the nearest to 0.1 in 5/3, 0.64, -4? 0.64 Which is the closest to 0.07? (a) 8 (b) 2 (c) -5 (d) -1 d What is the nearest to 176 in -1, 0, -1/2? 0 What is the closest to 0.3 in -0.4, -0.3, -5? -0.3 Which is the closest to 2? (a) -0.2 (b) -10 (c) 0 c Which is the closest to -1? (a) 0.4 (b) 1 (c) 0.05 (d) 0.5 c Which is the nearest to -2? (a) -0.12 (b) 1/4 (c) 23/4 a Which is the closest to 0? (a) -117 (b) 1/2 (c) 0 c Which is the closest to -1/5? (a) 2/17 (b) -5/2 (c) -0.267 c What is the closest to -59 in 2, 4.2, 0.4? 0.4 What is the nearest to 1 in 1, 1/6, -0.22, 7? 1 Which is the closest to 0.029? (a) 28 (b) -2 (c) -0.1 c Which is the closest to -0.1? (a) -2/37 (b) 0.3 (c) 3/7 a What is the nearest to 2/5 in 4, 5, 0.2? 0.2 Which is the nearest to 32? (a) 0.3 (b) -5 (c) 0.5 (d) -3 c What is the nearest to -1/12 in 0.5, -6, 4/7? 0.5 Which is the closest to -3/5? (a) -0.1 (b) 1 (c) -5 (d) 0.5 a Which is the closest to -26? (a) 2/9 (b) -2/13 (c) 0.4 (d) -1/4 d Which is the nearest to 0.08? (a) -0.2 (b) 1/13 (c) 2 b Which is the nearest to -7? (a) -2/3 (b) -0.4 (c) 0.6 (d) 3 a What is the closest to -12 in -5, 1/3, 2? -5 What is the closest to -0.08 in -5/3, 3/2, 0.04? 0.04 What is the closest to -8 in -0.1, -0.056, 2, -2/13? -2/13 What is the nearest to -1/19 in -1/2, -3/4, -1/7? -1/7 What is the nearest to 4 in 0.7, 24/5, 0.5? 24/5 Which is the closest to -2/7? (a) -3 (b) 18 (c) -11 (d) 1/2 d Which is the closest to 68? (a) -1/4 (b) 1/7 (c) -5 b What is the nearest to -1 in 0.1, 9, -8? 0.1 What is the nearest to 3/7 in -0.4, 0.2, -1, -1.2? 0.2 Which is the closest to 15/8? (a) -1/7 (b) 3 (c) 4 b What is the closest to -8 in 0.059, -3, 2/5? -3 What is the closest to -0.1 in 32/3, -2/7, 2? -2/7 Which is the nearest to 0.1? (a) 0 (b) -28 (c) 0.3 a Which is the nearest to -1? (a) -2/3 (b) 0.2 (c) -1.44 a Which is the nearest to -24? (a) -5 (b) -0.1 (c) -4 (d) 5 a What is the nearest to 2 in 2/5, -3, 1/9, 4/13? 2/5 Which is the nearest to 0? (a) 3 (b) 0 (c) -10 (d) 1/4 b What is the closest to 6 in -2/5, -0.0508, 0? 0 Which is the closest to -0.2? (a) -10 (b) 2/3 (c) 7 b Which is the nearest to 16? (a) -0.1 (b) -0.5 (c) 2/13 (d) 0.5 d What is the nearest to 2 in 0.2, 0.4, 2/17, -1? 0.4 What is the closest to -2/5 in 5, -0.56, 0.2, 1/4? -0.56 What is the closest to 4 in -0.89, -0.7, -2? -0.7 Which is the closest to 1? (a) -0.2 (b) -1 (c) -10 a Which is the nearest to -0.1? (a) 2 (b) 186/11 (c) -0.5 c Which is the nearest to -1? (a) 0.01 (b) -0.1 (c) -17/2 b Which is the closest to -0.2? (a) 2 (b) -3/4 (c) -4 b Which is the closest to -5? (a) -2 (b) -10/11 (c) 0.5 a Which is the closest to 39/5? (a) -2/13 (b) 28 (c) -0.5 a What is the closest to 6 in -1/19, 31, 2/7, 5? 5 Which is the nearest to -4? (a) 5 (b) -0.2 (c) 3/5 (d) 8 b Which is the closest to 2? (a) -0.4 (b) 4 (c) -0.02 b Which is the nearest to 1/6? (a) 0.7 (b) 1 (c) -1 a Which is the nearest to -127? (a) 4 (b) 0 (c) -1 c What is the closest to -1/44 in -4, 2, -3/7? -3/7 What is the nearest to 2/47 in 2/5, -2, -1, 0.3? 0.3 Which is the closest to 0.4? (a) 12 (b) -5 (c) 7 b What is the closest to 7 in 3, 2, 5/6? 3 Which is the closest to 2/7? (a) 0.3 (b) 4 (c) -9 a What is the nearest to -1 in -0.4, -11, -9/5, -3? -0.4 What is the closest to 1 in 1, 3, 14? 1 What is the closest to 2 in -0.1, 0, 2, 11? 2 What is the nearest to 0 in 1, 2, 3? 1 What is the closest to 1 in -5, -36, -2.2? -2.2 Which is the nearest to 1/2? (a) 0 (b) -0.02 (c) -2 (d) 0.2 d Which is the nearest to 2/3? (a) -2/15 (b) -60 (c) -1 a Which is the nearest to -1? (a) -6 (b) -0.3 (c) -2/21 b What is the closest to -1/2 in -1, -2/7, -0.059? -2/7 What is the closest to 2/19 in 5, 0.1, 0.5, -3? 0.1 What is the closest to 0.1 in 78, 0.2, -2/3? 0.2 Which is the nearest to -1? (a) 4 (b) 0.4 (c) -94 (d) 3 b What is the nearest to 5/2 in -2/11, 1/7, -0.4, -0.1? 1/7 What is the closest to -1 in 0.4, 0, 2/11, -0.2? -0.2 What is the closest to 5 in 0.14, 4, 5, 2/9? 5 Which is the nearest to 4/5? (a) -4 (b) -0.3 (c) 5/3 (d) 2/7 d What is the nearest to -2/3 in -2/5, -3, -4, -383? -2/5 What is the nearest to 0.1 in 4, -0.3, 33? -0.3 Which is the closest to 0.1? (a) 4 (b) -45/4 (c) -5 a Which is the closest to 0? (a) -0.08 (b) 4 (c) -3 a What is the closest to -1 in -2/3, -959, -2, -5? -2/3 Which is the nearest to 0.1? (a) -0.7 (b) 0 (c) -0.4 (d) -2 b What is the nearest to 1/3 in -4, 0.1, 0.05? 0.1 Which is the closest to 2/39? (a) 21 (b) -2 (c) 2/7 c Which is the closest to -1? (a) -0.01 (b) 2/9 (c) 7/2 (d) -2/5 d Which is the closest to -2/13? (a) -11 (b) -5 (c) 1/3 c Which is the nearest to 0? (a) 18 (b) 0 (c) 1/2 b What is the closest to 1 in 31, 2/9, 2/11, 4? 2/9 Which is the closest to 2? (a) 32 (b) -0.4 (c) -4 (d) 0.1 d Which is the nearest to 0? (a) -0.5 (b) -1 (c) -131 (d) 4 a Which is the closest to 3.5? (a) 1 (b) -4 (c) -3 (d) 4 d Which is the nearest to 1/2? (a) -3 (b) -3/31 (c) 3/7 c Which is the closest to 11? (a) 0.8 (b) -0.5 (c) -0.1 (d) -3/4 a Which is the nearest to 85? (a) -1/2 (b) -3/7 (c) 0.4 c Which is the nearest to 0.1? (a) -2 (b) -0.3 (c) 3 b Which is the nearest to 1? (a) -4 (b) -1 (c) 86 b What is the nearest to 0 in 2/5, 0.01, -4? 0.01 What is the closest to 0 in -1/6, 58, 4, -2? -1/6 What is the closest to -0.1 in -0.03, -2/9, 4, -4? -0.03 Which is the nearest to 1? (a) -3 (b) 0 (c) -1 (d) 93 b What is the nearest to -0.4 in 3, -6, 5? 3 Which is the closest to -4? (a) -2 (b) -1 (c) -2/9 (d) -0.5 a What is the nearest to 2/3 in -2, 2/7, -6, -1/4? 2/7 What is the closest to -3/5 in -3, 10, 1/5, 2? 1/5 What is the nearest to -2 in -1/4, 0.2, 47/2? -1/4 What is the nearest to 2 in 11, 3, 4/5, 2/35? 3 Which is the nearest to -3/5? (a) 0.4 (b) 0.01 (c) 6 b What is the closest to -0.1 in 0.149, -0.3, -1/4, -0.5? -1/4 Which is the closest to 0.1? (a) 3/5 (b) 13 (c) 1/2 c What is the nearest to -2/5 in 1/2, -2, -2/7, 5? -2/7 Which is the nearest to 7? (a) -0.23 (b) -0.1 (c) -0.5 b Which is the nearest to 0.1? (a) -1 (b) 21 (c) -2/9 c What is the nearest to 0.3 in -1/3, -7/20, 2? -1/3 Which is the nearest to 1/4? (a) -1/5 (b) -1.6 (c) 4 (d) -6 a Which is the nearest to 2/5? (a) 3 (b) -2/3 (c) 3/7 (d) -3 c Which is the nearest to -0.3? (a) 2 (b) -2 (c) 4/5 (d) 35 c Which is the closest to -2? (a) -0.3 (b) -2 (c) -1 (d) 43 b Which is the closest to -3? (a) 1/9 (b) -3/2 (c) 0.6 (d) -0.5 b What is the nearest to -2/5 in 2/19, 2/11, 0.1? 0.1 What is the nearest to -2 in 1, -4, 1/6, 3/8? -4 Which is the closest to -6? (a) -2/3 (b) -38 (c) -3 (d) -4 d What is the closest to 1/3 in -62, 1/81, -2, 1/6? 1/6 What is the nearest to 2 in -0.4, 0.2, -3/19, -0.1? 0.2 Which is the closest to 1/3? (a) 132 (b) -1/6 (c) 0.3 c What is the nearest to 2/9 in -0.4, 0, -3, -1? 0 Which is the closest to 1/3? (a) -0.19 (b) -0.3 (c) 2 a
{ "pile_set_name": "DM Mathematics" }
. 2, 3, 17, 13421 List the prime factors of 1168530. 2, 3, 5, 11, 3541 What are the prime factors of 190521? 3, 21169 List the prime factors of 3348263. 3348263 What are the prime factors of 2025948? 2, 3, 197, 857 What are the prime factors of 9374981? 7, 11, 109, 1117 List the prime factors of 3283856. 2, 17, 12073 List the prime factors of 2636401. 2636401 What are the prime factors of 12270031? 191, 227, 283 What are the prime factors of 2834200? 2, 5, 37, 383 List the prime factors of 8439465. 3, 5, 562631 What are the prime factors of 296248? 2, 19, 1949 What are the prime factors of 5380008? 2, 3, 97, 2311 List the prime factors of 2432282. 2, 101, 12041 What are the prime factors of 148054? 2, 74027 List the prime factors of 10584910. 2, 5, 7, 151213 What are the prime factors of 2439618? 2, 3, 617, 659 What are the prime factors of 625266? 2, 3, 11579 List the prime factors of 10138230. 2, 3, 5, 37549 What are the prime factors of 39831642? 2, 3, 79, 9337 What are the prime factors of 5717067? 3, 1905689 What are the prime factors of 2537208? 2, 3, 131, 269 What are the prime factors of 29466968? 2, 647, 5693 List the prime factors of 89711. 283, 317 List the prime factors of 23178502. 2, 37, 103, 3041 List the prime factors of 312585. 3, 5, 7, 13, 229 List the prime factors of 25597286. 2, 11, 13, 89501 List the prime factors of 186417. 3, 7, 11, 269 What are the prime factors of 318566? 2, 47, 3389 What are the prime factors of 354413? 59, 6007 List the prime factors of 598631. 11, 54421 List the prime factors of 249011. 7, 35573 List the prime factors of 10192381. 23, 443147 List the prime factors of 731789. 467, 1567 What are the prime factors of 32344509? 3, 23, 468761 List the prime factors of 10342273. 17, 608369 What are the prime factors of 68763? 3, 22921 List the prime factors of 264995. 5, 52999 List the prime factors of 245992. 2, 97, 317 List the prime factors of 478924. 2, 17, 7043 List the prime factors of 163630. 2, 5, 16363 What are the prime factors of 1976483? 113, 17491 What are the prime factors of 74020? 2, 5, 3701 What are the prime factors of 3846812? 2, 961703 What are the prime factors of 30367? 30367 What are the prime factors of 609440? 2, 5, 13, 293 List the prime factors of 280529. 53, 67, 79 List the prime factors of 21571594. 2, 11, 491, 1997 List the prime factors of 4490858. 2, 2245429 List the prime factors of 713524. 2, 7, 17, 1499 What are the prime factors of 22333493? 7, 13, 19, 12917 What are the prime factors of 6892439? 59, 197, 593 What are the prime factors of 18725712? 2, 3, 390119 What are the prime factors of 7439189? 23, 323443 List the prime factors of 410529. 3, 7, 113, 173 List the prime factors of 5296994. 2, 37, 47, 1523 List the prime factors of 285471. 3, 97, 109 What are the prime factors of 6828224? 2, 13, 29, 283 List the prime factors of 7038596. 2, 1759649 What are the prime factors of 1681587? 3, 61, 1021 List the prime factors of 16682226. 2, 3, 11, 252761 What are the prime factors of 574406? 2, 7, 89, 461 List the prime factors of 6347334. 2, 3, 7, 79, 1913 List the prime factors of 960729. 3, 7, 11, 4159 List the prime factors of 3375263. 227, 14869 List the prime factors of 3729. 3, 11, 113 List the prime factors of 130008. 2, 3, 5417 List the prime factors of 264860. 2, 5, 17, 19, 41 List the prime factors of 5621808. 2, 3, 173, 677 What are the prime factors of 739127? 43, 17189 What are the prime factors of 1805032? 2, 225629 What are the prime factors of 10615293? 3, 13, 17, 593 List the prime factors of 195883. 195883 List the prime factors of 107160. 2, 3, 5, 19, 47 List the prime factors of 2227740. 2, 3, 5, 107, 347 What are the prime factors of 1230817? 7, 17, 10343 What are the prime factors of 5836799? 5836799 List the prime factors of 358486. 2, 179243 List the prime factors of 2120429. 2120429 What are the prime factors of 6722197? 37, 97, 1873 List the prime factors of 15496246. 2, 53, 146191 List the prime factors of 248301. 3, 47, 587 List the prime factors of 18427115. 5, 7, 131, 4019 What are the prime factors of 6833181? 3, 2277727 What are the prime factors of 386524? 2, 71, 1361 List the prime factors of 198911. 19, 29 What are the prime factors of 6811906? 2, 3405953 What are the prime factors of 9647453? 9647453 List the prime factors of 274086. 2, 3, 15227 List the prime factors of 49764. 2, 3, 11, 13, 29 What are the prime factors of 892882? 2, 446441 List the prime factors of 987802. 2, 17, 1709 What are the prime factors of 328667? 328667 List the prime factors of 5741019. 3, 17, 157, 239 What are the prime factors of 6955347? 3, 7, 331207 List the prime factors of 42906. 2, 3, 7151 What are the prime factors of 254501? 13, 19577 List the prime factors of 20109612. 2, 3, 1675801 List the prime factors of 13637700. 2, 3, 5, 5051 List the prime factors of 1256304. 2, 3, 7, 3739 What are the prime factors of 11639482? 2, 5819741 List the prime factors of 11752373. 43, 273311 What are the prime factors of 88736? 2, 47, 59 What are the prime factors of 881187? 3, 293729 List the prime factors of 10879. 11, 23, 43 What are the prime factors of 116970? 2, 3, 5, 7, 557 List the prime factors of 11702359. 11702359 List the prime factors of 1737627. 3, 23, 25183 List the prime factors of 11823148. 2, 439, 6733 What are the prime factors of 327792? 2, 3, 6829 List the prime factors of 4993286. 2, 2496643 What are the prime factors of 1152354? 2, 3, 7, 27437 List the prime factors of 104569. 53, 1973 List the prime factors of 1486821. 3, 7, 101, 701 List the prime factors of 481455. 3, 5, 13, 823 What are the prime factors of 8065928? 2, 13, 77557 What are the prime factors of 161650? 2, 5, 53, 61 What are the prime factors of 18747216? 2, 3, 101, 1289 List the prime factors of 2164504. 2, 270563 What are the prime factors of 114326? 2, 57163 List the prime factors of 179145. 3, 5, 1327 What are the prime factors of 8050359? 3, 31, 107, 809 List the prime factors of 15742144. 2, 11, 59, 379 List the prime factors of 18088535. 5, 1783, 2029 What are the prime factors of 250217? 11, 23, 43 What are the prime factors of 1743213? 3, 581071 What are the prime factors of 15343948? 2, 43, 89209 List the prime factors of 6827617. 73, 93529 List the prime factors of 22990509. 3, 43, 59407 What are the prime factors of 94500? 2, 3, 5, 7 List the prime factors of 33605238. 2, 3, 5600873 What are the prime factors of 387426? 2, 3, 13, 4967 What are the prime factors of 2111205? 3, 5, 97, 1451 What are the prime factors of 78040? 2, 5, 1951 List the prime factors of 196518. 2, 3, 7, 4679 List the prime factors of 33420472. 2, 23, 37, 4909 List the prime factors of 6041785. 5, 1039, 1163 What are the prime factors of 5288248? 2, 7, 94433 List the prime factors of 13042865. 5, 11, 237143 List the prime factors of 1962694. 2, 59, 16633 What are the prime factors of 8348598? 2, 3, 17, 27283 List the prime factors of 82859. 7, 19, 89 List the prime factors of 1762161. 3, 587387 List the prime factors of 531601. 7, 19, 571 List the prime factors of 98060. 2, 5, 4903 List the prime factors of 102647. 102647 List the prime factors of 90719. 83, 1093 List the prime factors of 234422. 2, 19, 31, 199 List the prime factors of 1620221. 61, 26561 What are the prime factors of 8633558? 2, 4316779 What are the prime factors of 153025? 5, 6121 What are the prime factors of 241641? 3, 26849 What are the prime factors of 144648? 2, 3, 7, 41 List the prime factors of 587945. 5, 17, 6917 What are the prime factors of 6803963? 881, 7723 List the prime factors of 2646367. 389, 6803 List the prime factors of 327447. 3, 36383 What are the prime factors of 617405? 5, 19, 67, 97 List the prime factors of 2670950. 2, 5, 53419 What are the prime factors of 155421? 3, 7, 2467 What are the prime factors of 22279? 22279 List the prime factors of 32236. 2, 8059 What are the prime factors of 499575? 3, 5, 6661 List the prime factors of 1556240. 2, 5, 7, 397 What are the prime factors of 5168074? 2, 2584037 What are the prime factors of 243964? 2, 7, 8713 What are the prime factors of 347166? 2, 3, 2143 List the prime factors of 1691707. 53, 59, 541 What are the prime factors of 4745068? 2, 61,
{ "pile_set_name": "DM Mathematics" }
2*l + 4*n + 78, -82 = -2*l - 5*n. Solve -a - 4*t = 4*a - l, -3*a + 7 = -2*t for a. 5 Let m = -876 - -879. Solve s + 6 = 7, -m*k - 6 = 3*s for k. -3 Let g = -73 + 75. Solve t - 8 = -s, -g*t + 28 = s + 3*t for s. 3 Suppose -2*n = -0*n. Solve -3*d = -4*x + 16, -4*d + x + x - 8 = n for d. 0 Suppose 9 = -3*c - 72. Let w = c + 32. Suppose -p = -w*p + 12. Solve 0*a = y + p*a - 10, -3*a = 3*y for y. -5 Let y be (1 - 63/18)/((-2)/8). Solve -4*c - 5*g - y = 0, -g + 4 = -2*c - 4*g for c. -5 Suppose f + p = 5*p - 8, 4*p - 8 = 0. Solve 3*z - 5*s = 16, 5*z + f*z = -s - 20 for z. -3 Let g(f) = f**3 - 24*f**2 - 52*f + 4. Let d be g(26). Suppose -10*z + 16 = -d. Solve z*r + b - 2*b = 7, -r - 24 = 5*b for r. 1 Suppose 3 = -q, -5*q = 4*h - h - 6. Suppose 31 + 5 = 12*t. Solve -t*b + 14 = -5*b - 3*a, 3*a = 5*b - h for b. -1 Let n(i) = i**3 + 5*i**2 - 6*i - 1. Let w be n(-5). Let m = 32 - w. Suppose 0 = -m*r + 13 + 8. Solve 2*j = -10, r*t - 4*j - 32 = 4*t for t. 4 Suppose -5*u = -2*u - 3. Let g be 27/9 + (1 - u). Solve -g*t = -3*q - 24 + 9, -2*q - 20 = -4*t for q. 0 Suppose 4*m - 3 = -5*p - 0, 0 = m + 4*p + 2. Suppose 5*g - k = -3, 2*g - 3 = k - m*k. Solve -1 = 4*y + 19, -4*t + 4*y + 8 = g for t. -3 Suppose 14*q + 34 = 90. Suppose 0 = 6*c - q*c - 6. Solve -c*s = 0, 2*h - s = -2*s - 8 for h. -4 Let r(k) = 2*k + k + 12*k + 2*k**2 - 147 + 139. Let f be r(-9). Solve -4*s = 2*y + 3*y - f, -4 = -y - s for y. 3 Let w be 12/16*(-8)/(3 + -4). Solve 2*q + 10 = -5*s, 2*q - 7*q = 3*s + w for q. 0 Suppose -48 + 120 = 8*y. Solve j + 1 = -2*i + y, -2*j + 18 = 5*i for i. 2 Let d(u) = u**3 - 7*u**2 + 2*u - 9. Suppose 3*q - 7 = 2*q. Suppose -o + 2*o - q = 0. Let a be d(o). Solve -2*i = -5*g + 35, -5*i = 5*g - g + a for g. 5 Let y = 1 - -4. Suppose -4*b - y = -9*b. Let v be 0 - b/(3/(-15)). Solve -v*c + 21 = -4*k, 2*k - 27 = -3*c - 2*c for k. 1 Suppose -26 = -4*u + 5*d, -6*d - 4 = -3*u - 10*d. Solve 3*h + 2*h - 3*b - 6 = 0, 4*b = u*h for h. 3 Suppose -6*z = -3*z. Suppose -4*j + 5 + 11 = z. Suppose -q - 2*h = -3, -h - 3 + 17 = 3*q. Solve -r - 11 = -2*l - 2*l, q*l + j*r = -2 for l. 2 Let l(f) = 11*f - 243. Let h be l(24). Let j(p) = p**3 - p**2 - 4*p - 1. Let m be j(3). Solve 1 = y, -y + h = -5*i - m for i. -5 Suppose 17 = -6*q + 7*q. Suppose -q = -2*r + r. Solve 2*p + p = -a - r, 5*a + 13 = 3*p for p. -4 Let o be (-27)/(-5) + (-4)/10. Suppose o = -5*h + 95. Let l(i) = -i**3 + 3*i**2 + 2. Let j be l(3). Solve -j = -5*u - 5*g - 17, 2*g = 4*u + h for u. -4 Suppose -5*f + 87 = 17. Solve -7*z = -3*z - 5*b - f, 2*z - 2*b = 6 for z. 1 Suppose -2*i + 3 = i. Let z be 20 - -5*i*(-4)/(-10). Solve -4*j - 2*u + z = -5*u, 2 = -u for j. 4 Let k = -102 + 106. Suppose -k*h + 22 = 7*h. Solve b - 1 = -5, a = -h*b - 12 for a. -4 Let h = 24 + -24. Suppose 15*i - 19*i + 8 = h. Solve i*r - 8 = -p, -4*r + 4*p = 8 - 0 for r. 2 Let k be -3*3/(-9)*77/11. Solve -17 = -t + 3*o, 5 + k = -3*o for t. 5 Suppose -2*z + 3 + 1 = 0. Let c(q) = 2*q**2 - 9*q - 2. Let v be c(4). Let x = v - -9. Solve -x*h + 15 = 5*i + z*h, -3*i + 13 = 4*h for i. -1 Let o(g) = 3*g**2 - 13*g + 2. Let d(t) = -2*t**2 + 9*t - 1. Let r(p) = 8*d(p) + 5*o(p). Let u be r(7). Solve 4*b + 4 = i - 3*i, -u*i - 5*b = 7 for i. 4 Suppose 0*h - 2*h = -5*h. Let w be 1/(-3) - 20/(-6). Let c = h + w. Solve 2*f - x = -c, -4*x - 2 + 5 = f for f. -1 Suppose -32*x = 22*x - 216. Solve -16 = 5*u - j, x*u = 5*j - 3 + 7 for u. -4 Let n(b) = 26*b - 1. Let g be n(-3). Let t = 83 + g. Solve -2*w - t*c = 6, -2*w + 2*c - 2 = 5*c for w. 5 Let l = 71 - 67. Suppose -3*h = l*i - 10, -4*i - 4*h = -11 + 3. Solve 0 = i*n - 5*m + 4, 3*n + 2 + 2 = 4*m for n. 4 Let l(q) = 3*q**2 - 2 + 2*q - q**3 + 2 - 2 - q. Let r be l(3). Solve h + 14 = -3*j + r, 2*j + 20 = 5*h for j. -5 Suppose 0 = 36*v - 165 - 15. Solve 0 = -4*q - v*b - 11 - 3, 2*q + 12 = -5*b for q. -1 Let b be (-4 - (-1 - 3)) + 2. Suppose -b*t = -3*y - 15, -3*y = 4*t - 2*y - 9. Solve 0 = 4*d - 16, 0 = -t*r - r - 2*d for r. -2 Suppose 9*i - 12 = 33. Solve 0 = -v - i, 3*v + 32 - 2 = -3*k for k. -5 Let o be ((-2)/(-3))/(-3 - (-29)/9). Solve -3*k + k - 2 = 3*j, -3*k - o = -5*j for k. -1 Suppose -4*n - 9 = -13. Let y be 3/n + 3 + -2. Let i be y/(-2) + (-7 - -11). Solve -i*o - 2*p = -0*o + 4, 0 = -o - 3*p - 2 for o. -2 Let v = -2763 - -2766. Let l be 14/3 + (-2)/(-6). Solve 0 = l*z - v*t - 10, -z + 4*t = -2 - 0 for z. 2 Let p(w) = -w**2 + 7*w - 6. Let g be p(4). Let c be ((-3)/g)/((-1)/4). Suppose c*f - 5 = 1. Solve -1 = -3*u + 3*q - 13, 5*u + 28 = -f*q for u. -5 Let d be (-793)/(-117) + (-10)/(-45). Solve 3*f + 3*i - 9 = 0, f - d*i + 10*i - 9 = 0 for f. 0 Suppose 0 = -2*t + 10, 0 = -4*y - 4*t + 25 + 7. Solve q = f + f + 4, -y*f = -2*q + 8 for q. 4 Let l be (-6)/((-1*(-30)/5)/(-4)). Solve 0 = 2*m, 5 + 5 = -2*s - l*m for s. -5 Let d = -5440 + 5442. Let s be (3 - 1) + -2 + 10. Solve -t + 8 = d*t - h, 4*t - s = h for t. 2 Let c(p) = -6*p + 4*p**2 - 5*p**2 - 10 + 2*p**2. Let v be c(9). Solve -4*o = 2*w + 4 - 10, v = -2*o + 3*w for o. -1 Suppose 26 - 76 = -5*b. Suppose 4*y + 2*f = y - 32, 5*f + 20 = 0. Let w = y + b. Solve 3*o + 0*j + 3 = -w*j, -5 = 5*o + 4*j for o. -1 Suppose -15*v + 21*v = 60. Suppose h - a = -2*h + 58, a - 42 = -2*h. Solve 3*f - 7*f - 4*j = -h, v = 5*f + 2*j for f. 0 Let u(z) = 3*z + 7. Let n be u(-5). Let w be ((-15)/6)/(4/n). Solve 4*t = 4*c, 3*t + w + 0 = 2*c for c. -5 Let a(k) = 2*k - 3. Let n be a(3). Suppose -3*v - 5*r + 32 = 0, 5*r - 24 = -v - 0*v. Solve -2*g = -3*i + 6, -5*g = -v*g + n for i. 0 Suppose -26*c - 125 + 333 = 0. Solve -3*u = u + 2*p + c, -u = 3*p - 8 for u. -4 Suppose 0 = 3*o - 2*o - 3. Let b be (5 - (0 + (1 - -4))) + 4. Solve o*r + 2*u - u = 15, -19 = -b*r - u for r. 4 Let z = -238 + 241. Solve -3 = 3*d, x + 3*x - z*d = -1 for x. -1 Suppose -36*i = -71 - 37. Solve y - 3*y + i = -t, 3*y - 3*t = 0 for y. 3 Suppose -16 = 29*y - 25*y. Let j be (-10 + -10)*6/y. Solve -4*w - i = 1 - 4, -5*w + j = -4*i for w. 2 Suppose 0 = 23*o - 15*o - 8. Solve 2*s = 3*x + 15, o = 4*x + 13 for s. 3 Suppose -11 = -2*z + 5. Suppose 4*r - z - 12 = 0. Solve -20 = -5*x - r*d, -4*x - 5*d = -23 + 4 for x. 1 Let g(z) = -z + 2. Let i be g(-2). Solve -3*u + 15 = -3*l, 0 = -u - 2*u - i*l - 20 for u. 0 Let y be -4 + 8/(-20)*-5. Let j be 0/4 + y + 4. Solve 0 = j*m + m + 4*w + 22, 3*m - 10 = 4*w for m. -2 Let x be (-3 + 3 + -3)*1. Let u be 15/10*(2 + 0). Let w = x + u. Solve -5*g + f + 29 = w, -5*g = -0*f + 4*f - 9 for g. 5 Suppose -18*w = -17*w - 4. Suppose 5 = w*q - 11. Solve q*r = -2*k - 18, 0 = 5*r - r - k + 3 for r. -2 Let s be ((-5)/15)/(4/(-84)). Solve 9 = -2*w - 3*h, -2*h + 0*h + s = -3*w for w. -3 Let p be -2 + 1 + 3 + -3. Let t be -2 - 8/(-5 - p). Solve -4*u - 4*i = t, u - 7*i - 18 = -2*i for u. 3 Let z(o) = 41 - 19*o**2 + 13*o**2 + 20*o + 7*o**2. Let k be z(-18). Solve -3*p - i - 2 = 0, -p - k*i - 1 + 5 = 0 for p. -1 Let x(m) = -132 - 2*m + 125 + 5*m + 3*m. Let i be x(2). Let f be 16/3 - (-1)/(-3). Solve i*p - 17 = 3*y, -3*p - 2 + 9 = -f*y for p. 4 Let k(l) = -l**3 - 3*l**2 + 30*l + 17. Let o be k(-7). Solve 4*x = o*n, x - 3 = 3*n - 12 for n. 4 Let w be 18/(3/1)*-4. Let s be 36/w*104/(-3). Let x be s/18 + (-2)/(-18). Solve -9 = -2*k - u + 6, -x*k + 2*u = -5 for k. 5 Let g(x) = -91*x - 364. Let w be g(-4). Solve 12*i - 15*i + b - 13 = 0, 4*i + 3*b + 13 = w for i. -4 Suppose -3*y = o - 33, -y - o + 21 - 12 = 0. Solve 4*l - k = -0*k + 3, 4*k = -y for l. 0 Let g be 114/18 + ((-32)/12)/(-4). Solve f - 5*n + g = -12, f = -5*n + 11 for f. -4 Let u(p) = -3*p - 28. Let j be u(-15). Suppose -5*h = 2*x - 7, 0*x - 5*h - 37 = -2*x. Suppose -3*f - 2 = -x. Solve -3*y = -2*r - 4 + f, -y - j = -5*r for y. 3 Let k = -1986 + 1989. Solve 0 = -h + 3*n + 15, 0 = k*h - 2*n - 5 - 5 for h. 0 Let v(u) be the second derivative of u**5/20 - u**4/2 + 7*u**3/6 + 4*u**2 - 7*u. Let y be v(4). Solve n - 4*n + 6 = 0, -y*x + 12 = 4*n for x. 1 Let q(y) = 3*y**3 + 6*y**2 - 2*y**3 - 8*y**2 + 5*y**2 + 3. Let p be q(-3). Solve -2*i + 4 = -i + p*a, 0 = i - 4*a + 3 for i. 1 Let j(w) = -84*w. Let a be j(1). Let p = a - -88. Solve -g - 12 = -4*l, l + p*l = -2*g + 28 for l. 4 Suppose -9*a + 14*a - 260 = 0. Suppose 0 = -z + 5*z - a. Solve -5*k = t + z + 8, 4*k + 17 = -t for k. -4 Let i(g) = -4 + 623*g**2 - 9*g - 622*g**2 + 1 + 3*g. Let t be i(7). Solve -3*v + 4*n
{ "pile_set_name": "DM Mathematics" }
earest to 126? (a) -0.4 (b) 1 (c) -0.16 (d) -202 b Which is the closest to -2/3? (a) 55 (b) -0.2 (c) 19/12 b Which is the closest to 0? (a) -3 (b) 392985 (c) 0.3 c What is the closest to 0.049 in 1/2, 0.1, 12, -3? 0.1 What is the nearest to 1 in 6, -8/15, 0, 1/5? 1/5 Which is the closest to 29? (a) -198 (b) 0.5 (c) 0.2 b Which is the closest to -90? (a) 3 (b) 0.5 (c) -17/5 c Which is the closest to -511? (a) -0.2 (b) 383 (c) 1 a What is the nearest to 2 in -5, -107.6, -0.1? -0.1 Which is the closest to 536? (a) 16 (b) -0.5 (c) 0.1 (d) -1 (e) 3/7 a Which is the nearest to -2/7? (a) 3.2 (b) 2/67 (c) 0.1 (d) 5 b Which is the closest to -3? (a) 4 (b) 0.3 (c) 2 (d) 318 (e) -0.04 e What is the closest to 9 in 2/9, 1, 2/5, -6/11? 1 Which is the closest to 35? (a) 5 (b) 2/5 (c) -0.4 (d) -2/13 (e) -13 a Which is the nearest to -0.2? (a) 2.1 (b) 73/4 (c) 5 a Which is the nearest to -0.1? (a) 0.4 (b) 3 (c) -1 (d) 99 (e) -13 a What is the closest to 52 in 0.2, 2/9, 0, 30, 1/3? 30 Which is the closest to 1? (a) -45 (b) -114 (c) -0.1 (d) 11 c What is the nearest to -1 in -2/7, 1/3, -0.1, 0.2, 3? -2/7 What is the closest to 2.1 in 3, 0, -14, -5, -4? 3 What is the nearest to -5 in -0.3, -0.1, 5, -6740, 2? -0.3 Which is the closest to 2? (a) -14 (b) -3/2 (c) -2275 b What is the closest to -14 in 0.4, 3/4, 4/105? 4/105 What is the closest to -1/3 in -3, -0.04, 0, -2/151, 0.1? -0.04 What is the nearest to -1/5 in 3, 317.7, 4, 0.5, -6? 0.5 What is the closest to -2/5 in -1, 4568, 4, -1/4? -1/4 Which is the nearest to -1? (a) -2 (b) -1/15 (c) 110 (d) 0.3 (e) -5 b What is the closest to -0.2 in 0.8, 2.3, -5, -2, 2/3? 2/3 What is the nearest to 7/3 in -0.2, 2, 1, 31/80? 2 Which is the closest to -2? (a) 0.69 (b) -6/5 (c) 1/4 (d) -4 b Which is the nearest to 0.005? (a) -0.5 (b) 6/5 (c) -4 (d) 4 a What is the nearest to 1/4 in -0.01, 2, 77.2? -0.01 What is the closest to -265 in 6/5, 13/2, 3? 6/5 Which is the nearest to 1/3? (a) 0.2 (b) 1403 (c) 2 a Which is the nearest to -4? (a) -55/4 (b) -5 (c) 283 b What is the nearest to 7 in 0, 1/6, 0.1, -3, 471.2? 1/6 What is the closest to 0 in -23, -0.5, -3, 0, -13/5? 0 Which is the closest to 2? (a) 1177 (b) 5 (c) -3 (d) 2/5 d Which is the closest to -56? (a) -8 (b) 32 (c) 2 a Which is the nearest to -20? (a) -1/6 (b) 0 (c) 15.25 (d) 3 a Which is the closest to -1/4? (a) 1/68 (b) -4/9 (c) -2 (d) 79 b What is the nearest to 1/4 in 3, 63, 0, -0.8? 0 What is the closest to -0.1 in -5, -1/7, -0.0314, 13? -1/7 What is the nearest to -2/5 in -1924, -4, 3/8? 3/8 What is the closest to -3 in -359, 55, -1/5? -1/5 What is the nearest to 1 in -2, 129, -24, -1/4? -1/4 What is the nearest to 32 in 3, 1, 0.2775, 0? 3 Which is the closest to 2/7? (a) 4/7 (b) 5 (c) 8.4 (d) -0.3 (e) 2/3 a Which is the nearest to -1? (a) 0.1 (b) -5 (c) 11136 a Which is the nearest to -0.4? (a) -6/131 (b) -49 (c) -4 a What is the closest to 13 in 5, -1, 33.24, -2? 5 Which is the closest to -1/119? (a) -1/5 (b) -2/7 (c) 2/11 (d) -4 (e) 0.5 c Which is the closest to 4? (a) 20 (b) -0.185 (c) 5 (d) -5 c Which is the closest to 6? (a) 0.3 (b) -2/9 (c) 65 (d) 1/4 (e) 8 e Which is the nearest to 5? (a) 1039 (b) 1/9 (c) -0.2 (d) 2/7 d Which is the closest to -1/4? (a) 1/6 (b) -2 (c) -54 (d) 3/5 a What is the nearest to 0.1 in 876, 2/13, -2/9? 2/13 Which is the closest to -15/8? (a) 0.01 (b) 3 (c) 47.3 a What is the closest to 3 in 0.8, 26, 2? 2 Which is the nearest to -3? (a) 2.45 (b) -0.6 (c) 4 b Which is the closest to -0.1? (a) 4/7 (b) 0.24 (c) 9 (d) -4.6 b Which is the nearest to -1/2? (a) 2/5 (b) -43 (c) 4 (d) -15 a What is the nearest to 0.2 in 313, -19/2, 2/13, 1/4? 2/13 What is the nearest to -4 in 7/2, -302, 3, 0.4, -0.2? -0.2 Which is the nearest to 2? (a) 1/4 (b) 19 (c) -1 (d) 1 (e) -5/2 d Which is the closest to 14/31? (a) -3 (b) -1 (c) -1/3 (d) -5 c Which is the closest to -22? (a) -5 (b) -0.08 (c) 2 (d) -1/2 (e) 5.7 a Which is the closest to 1/4? (a) -3 (b) -5 (c) -3.24 (d) 0.04 d Which is the nearest to 0? (a) 53 (b) 0.2 (c) -5/2 (d) -0.04 d What is the nearest to 1 in 0.004, -0.4, 7, -2.4? 0.004 What is the closest to 14 in 2/67, -57, -1/6? 2/67 What is the closest to 2 in -5, 256, 3/2, -6? 3/2 What is the nearest to 0.04 in -5237, -2, 0.3, 3? 0.3 What is the nearest to 2/5 in -8, 19, -32? -8 What is the closest to -1 in 2/3, 5, 11, 428? 2/3 Which is the closest to 1? (a) -9812 (b) 1/2 (c) 2/7 (d) -3 (e) -1 b Which is the closest to -130? (a) -5 (b) -2/9 (c) -2553 a What is the closest to 9 in 0.2, -39, -21? 0.2 Which is the closest to 1? (a) -2 (b) 2/11 (c) 1/2 (d) 5 (e) -1.3422 c What is the nearest to -2 in 1/12, -5.3, 0.4? 1/12 Which is the nearest to -116? (a) -3 (b) 0.06 (c) -0.4 (d) -4/7 a Which is the nearest to 11? (a) 15 (b) -1/105 (c) -3 (d) -1 a What is the nearest to -3 in -1/4, 5, -1/2, 0.93? -1/2 Which is the nearest to 2/5? (a) 17/1316 (b) -1/8 (c) 2 (d) -2/3 a Which is the nearest to 40? (a) 3 (b) 4 (c) 501/4 b Which is the nearest to -6/7? (a) -3/2 (b) 1/6 (c) 0.4 (d) 0.1 (e) -12 a What is the nearest to 0.2 in -4, -2.4, -0.3, -19? -0.3 What is the nearest to 189 in 1, -19, 3? 3 Which is the nearest to 0? (a) 108 (b) -1 (c) -1604/17 b What is the nearest to 2.2 in -0.2, 7/5, 4, 0.8? 7/5 Which is the nearest to -5? (a) -2/3 (b) -2 (c) -13 (d) -3 (e) -0.5 d What is the closest to -1 in -4, -307/91, 0.5, 0.4? 0.4 Which is the closest to -1? (a) 1 (b) 1/9 (c) 4/5 (d) 0.1 (e) -0.051 e What is the nearest to -27 in -4, 52, 0.2? -4 What is the nearest to 526 in -0.5, 4, -1/19, 6.1? 6.1 What is the closest to -8056 in 2/3, -4/7, -1/3? -4/7 What is the closest to 14 in 2, 1.7, 5, 0.1, -0.119? 5 What is the nearest to 27 in 0.4, -2.384, 1? 1 Which is the nearest to -0.04? (a) 0.3 (b) -5 (c) -1/31 (d) 0.1 c Which is the closest to 1.9? (a) -2/7 (b) 0.15 (c) 458 (d) -3 (e) 0.1 b What is the closest to 0.1 in -342, -0.0373, 0, 1? 0 What is the closest to 8.618 in -3/5, 0, 0.3, -0.2? 0.3 What is the nearest to 210 in 9, -0.5, 2/11? 9 What is the closest to 169 in -5, 3, -92, -3? 3 What is the nearest to 1 in -393, -2/105, -4, -1? -2/105 What is the closest to -8/7 in 0.4, -0.4, -81, -3/13? -0.4 Which is the nearest to 1? (a) -54 (b) -7 (c) -3/4966 c What is the closest to -1/3 in -0.5, -753, 1, -0.4? -0.4 Which is the closest to 0.6? (a) 30 (b) 4 (c) 0.5 (d) 1 c What is the closest to -1 in 2.2, -0.5, 4089? -0.5 What is the closest to 4 in -10, 1/5, -1.1, 0.06, 4? 4 Which is the closest to -9? (a) 0.7 (b) 8 (c) -0.1 (d) 7 (e) 1 c Which is the closest to -2/3? (a) 0 (b) 0.7 (c) 1/3 (d) 422 a Which is the nearest to -59? (a) 0.1 (b) -3 (c) -2/79 (d) 0 (e) 0.12 b What is the closest to 0.1 in -2/5, -0.2, 5, -8, -4633? -0.2 What is the closest to 6 in 4, 19, 0, -1/3, 182? 4 Which is the nearest to 2/7? (a) -1/10 (b) 3/8 (c) 0.5 (d) 5/5464 b What is the nearest to 2 in -0.19, -0.2, 26, 2/5? 2/5 What is the closest to 3/2 in -76/5, -1/4, -12? -1/4 What is the closest to 1 in 468, 2, 0.3, -2/3, -1/5? 0.3 What is the nearest to -0.034 in -2, 0, -3, -38, 3? 0 What is the closest to 0.1 in -0.1689, 1/63, -4? 1/63 What is the closest to -22 in 5, -233, 0.05? 0.05 What is the closest to 0 in -2/31, -3, 3/2, -2, 26? -2/31 Which is the closest to -0.1? (a) 2/17 (b) 3.3 (c) 0.09 c What is the nearest to 2 in -2/7, 0.43, 0.5, -16? 0.5 What is the closest to -14/9 in -0.4, -2, -43? -2 What is the nearest to -0.15 in -32, -8, 1, 0? 0 What is the closest to 2 in -0.1, 3, -10, -0.31? 3 Which is the closest to 1? (a) -0.2 (b) -83 (c) -0.4 (d) 0.4 d What is the closest to 11 in -1, -39/4, -5? -1 Which is the nearest to 0.01? (a) 2/3 (b) 0.3 (c) -2/3 (d) 485 b Which is the nearest to -0.1? (a) -2/9 (b) -29 (c) 3 (d) 4 a What is the nearest to 2/3 in 3, -0.08, -1, -3/2, -626? -0.08 Which is the nearest to 185? (a) 5/3 (b) -0.3 (c) -1/2 (d) -1/5 (e) 5 e What is the nearest to -19 in -2, 0.2, -7, -4? -7 What is the closest to 0.1 in 0.08, 2, -3.57, 3? 0.08 Which is the closest to -1/4? (a) -50 (b) 0 (c) -0.4 (d) 0
{ "pile_set_name": "DM Mathematics" }
eger? 101 What is the fourth root of 21636 to the nearest integer? 12 What is 1638 to the power of 1/4, to the nearest integer? 6 What is the ninth root of 834 to the nearest integer? 2 What is the square root of 116 to the nearest integer? 11 What is the eighth root of 266 to the nearest integer? 2 What is 69662 to the power of 1/3, to the nearest integer? 41 What is the cube root of 45538 to the nearest integer? 36 What is the third root of 3825 to the nearest integer? 16 What is the cube root of 19239 to the nearest integer? 27 What is 70 to the power of 1/2, to the nearest integer? 8 What is the sixth root of 133819 to the nearest integer? 7 What is the fourth root of 5743 to the nearest integer? 9 What is 3956 to the power of 1/10, to the nearest integer? 2 What is 3962 to the power of 1/7, to the nearest integer? 3 What is 49774 to the power of 1/8, to the nearest integer? 4 What is the ninth root of 5388 to the nearest integer? 3 What is 35163 to the power of 1/2, to the nearest integer? 188 What is the cube root of 58423 to the nearest integer? 39 What is the sixth root of 134248 to the nearest integer? 7 What is the square root of 1132 to the nearest integer? 34 What is the square root of 12671 to the nearest integer? 113 What is the square root of 2733 to the nearest integer? 52 What is the cube root of 7771 to the nearest integer? 20 What is 2312 to the power of 1/5, to the nearest integer? 5 What is 1317 to the power of 1/2, to the nearest integer? 36 What is the third root of 1166 to the nearest integer? 11 What is the square root of 1969 to the nearest integer? 44 What is the cube root of 138001 to the nearest integer? 52 What is 7807 to the power of 1/2, to the nearest integer? 88 What is the seventh root of 2866 to the nearest integer? 3 What is the square root of 57324 to the nearest integer? 239 What is 274 to the power of 1/4, to the nearest integer? 4 What is the square root of 6563 to the nearest integer? 81 What is the ninth root of 17872 to the nearest integer? 3 What is the seventh root of 3792 to the nearest integer? 3 What is the square root of 38 to the nearest integer? 6 What is 20834 to the power of 1/4, to the nearest integer? 12 What is the cube root of 3281 to the nearest integer? 15 What is 1432 to the power of 1/8, to the nearest integer? 2 What is the seventh root of 642 to the nearest integer? 3 What is the third root of 13917 to the nearest integer? 24 What is the sixth root of 147348 to the nearest integer? 7 What is the fourth root of 1751 to the nearest integer? 6 What is the cube root of 116816 to the nearest integer? 49 What is 9598 to the power of 1/9, to the nearest integer? 3 What is the third root of 29152 to the nearest integer? 31 What is 1577 to the power of 1/5, to the nearest integer? 4 What is the cube root of 1264 to the nearest integer? 11 What is 70350 to the power of 1/2, to the nearest integer? 265 What is 3161 to the power of 1/2, to the nearest integer? 56 What is the third root of 70369 to the nearest integer? 41 What is 7403 to the power of 1/3, to the nearest integer? 19 What is the tenth root of 741 to the nearest integer? 2 What is 44930 to the power of 1/2, to the nearest integer? 212 What is 572 to the power of 1/5, to the nearest integer? 4 What is the square root of 36877 to the nearest integer? 192 What is 3781 to the power of 1/7, to the nearest integer? 3 What is the third root of 1090 to the nearest integer? 10 What is the fourth root of 3576 to the nearest integer? 8 What is 7068 to the power of 1/2, to the nearest integer? 84 What is 1649 to the power of 1/2, to the nearest integer? 41 What is the cube root of 67571 to the nearest integer? 41 What is the square root of 37229 to the nearest integer? 193 What is 5583 to the power of 1/3, to the nearest integer? 18 What is the third root of 2517 to the nearest integer? 14 What is the square root of 3192 to the nearest integer? 56 What is 1313 to the power of 1/8, to the nearest integer? 2 What is the square root of 544 to the nearest integer? 23 What is 6166 to the power of 1/8, to the nearest integer? 3 What is the third root of 67891 to the nearest integer? 41 What is 34229 to the power of 1/3, to the nearest integer? 32 What is the sixth root of 101228 to the nearest integer? 7 What is 47368 to the power of 1/2, to the nearest integer? 218 What is the cube root of 12345 to the nearest integer? 23 What is 1576 to the power of 1/7, to the nearest integer? 3 What is the tenth root of 41542 to the nearest integer? 3 What is 62803 to the power of 1/2, to the nearest integer? 251 What is the square root of 1840 to the nearest integer? 43 What is the cube root of 7672 to the nearest integer? 20 What is the third root of 3292 to the nearest integer? 15 What is 10231 to the power of 1/2, to the nearest integer? 101 What is the square root of 5317 to the nearest integer? 73 What is the fourth root of 18152 to the nearest integer? 12 What is 365 to the power of 1/2, to the nearest integer? 19 What is the fifth root of 24605 to the nearest integer? 8 What is the cube root of 13004 to the nearest integer? 24 What is 800 to the power of 1/6, to the nearest integer? 3 What is the third root of 5545 to the nearest integer? 18 What is the fourth root of 1228 to the nearest integer? 6 What is the third root of 76804 to the nearest integer? 43 What is the fourth root of 16544 to the nearest integer? 11 What is the third root of 97957 to the nearest integer? 46 What is 24020 to the power of 1/4, to the nearest integer? 12 What is 2043 to the power of 1/3, to the nearest integer? 13 What is 772 to the power of 1/2, to the nearest integer? 28 What is the third root of 51840 to the nearest integer? 37 What is 11133 to the power of 1/3, to the nearest integer? 22 What is the square root of 7098 to the nearest integer? 84 What is the square root of 1796 to the nearest integer? 42 What is the third root of 9392 to the nearest integer? 21 What is 957 to the power of 1/3, to the nearest integer? 10 What is the ninth root of 108730 to the nearest integer? 4 What is the seventh root of 1899 to the nearest integer? 3 What is 1450 to the power of 1/9, to the nearest integer? 2 What is the seventh root of 4004 to the nearest integer? 3 What is 2955 to the power of 1/6, to the nearest integer? 4 What is the fourth root of 1649 to the nearest integer? 6 What is the seventh root of 3194 to the nearest integer? 3 What is the square root of 95177 to the nearest integer? 309 What is 13694 to the power of 1/3, to the nearest integer? 24 What is 49296 to the power of 1/3, to the nearest integer? 37 What is 261 to the power of 1/3, to the nearest integer? 6 What is the square root of 71 to the nearest integer? 8 What is the cube root of 12172 to the nearest integer? 23 What is 13558 to the power of 1/4, to the nearest integer? 11 What is 1949 to the power of 1/5, to the nearest integer? 5 What is 13918 to the power of 1/8, to the nearest integer? 3 What is the sixth root of 26294 to the nearest integer? 5 What is the third root of 47560 to the nearest integer? 36 What is 10331 to the power of 1/3, to the nearest integer? 22 What is the third root of 675 to the nearest integer? 9 What is 151895 to the power of 1/2, to the nearest integer? 390 What is 1176 to the power of 1/3, to the nearest integer? 11 What is 118523 to the power of 1/5, to the nearest integer? 10 What is 81 to the power of 1/4, to the nearest integer? 3 What is the square root of 4824 to the nearest integer? 69 What is 1685 to the power of 1/2, to the nearest integer? 41 What is 3008 to the power of 1/3, to the nearest integer? 14 What is the fifth root of 59859 to the nearest integer? 9 What is 851 to the power of 1/6, to the nearest integer? 3 What is the square root of 426 to the nearest integer? 21 What is 2761 to the power of 1/3, to the nearest integer? 14 What is 933 to the power of 1/10, to the nearest integer? 2 What is 52972 to the power of 1/3, to the nearest integer? 38 What is the tenth root of 53883 to the nearest integer? 3 What is the square root of 15588 to the nearest integer? 125 What is 24354 to the power of 1/2, to the nearest integer? 156 What is the third root of 1590
{ "pile_set_name": "DM Mathematics" }
to millennia. 0.004748012 Convert 9.838529m to millimeters. 9838.529 What is 684.5484 millilitres in litres? 0.6845484 How many days are there in four sevenths of a week? 4 How many nanoseconds are there in fourty-one halves of a microsecond? 20500 How many nanometers are there in 1/10 of a millimeter? 100000 What is 67/4 of a second in milliseconds? 16750 What is 422.5599g in micrograms? 422559900 What is 7/2 of a litre in millilitres? 3500 What is fourty-five halves of a century in decades? 225 How many seconds are there in 1/15 of a day? 5760 How many minutes are there in 2/21 of a week? 960 What is 3/5 of a microgram in nanograms? 600 What is three fifths of a kilometer in centimeters? 60000 What is eleven quarters of a litre in millilitres? 2750 How many grams are there in 49.56135ug? 0.00004956135 What is five quarters of a kilogram in grams? 1250 What is fifty-eight thirds of a minute in seconds? 1160 How many years are there in 3/10 of a decade? 3 What is 5/4 of a meter in millimeters? 1250 How many minutes are there in 7/3 of a week? 23520 How many nanometers are there in 3/10 of a micrometer? 300 How many meters are there in 3/10 of a kilometer? 300 What is two ninths of a hour in seconds? 800 How many litres are there in 8.23152 millilitres? 0.00823152 What is twenty-nine halves of a millennium in decades? 1450 How many days are there in 1511600.94ms? 0.01749538125 How many nanometers are there in 27/5 of a micrometer? 5400 How many milligrams are there in 6/5 of a gram? 1200 Convert 4.895944 weeks to microseconds. 2961066931200 How many minutes are there in 23/6 of a hour? 230 How many millilitres are there in three eighths of a litre? 375 How many millilitres are there in seven quarters of a litre? 1750 How many seconds are there in three fifths of a minute? 36 What is 9.45776 nanometers in micrometers? 0.00945776 How many milliseconds are there in 495.7753 minutes? 29746518 What is 49/4 of a litre in millilitres? 12250 What is 0.5536294 milligrams in nanograms? 553629.4 How many litres are there in 522218.5ml? 522.2185 How many millilitres are there in eleven halves of a litre? 5500 What is one fifth of a kilometer in meters? 200 How many decades are there in three fifths of a millennium? 60 How many kilometers are there in 0.1477169 nanometers? 0.0000000000001477169 What is twenty-one fifths of a millimeter in micrometers? 4200 What is 21/5 of a millennium in months? 50400 What is 78963.62 centuries in months? 94756344 Convert 1248.837ug to kilograms. 0.000001248837 Convert 0.9094718 milligrams to tonnes. 0.0000000009094718 What is 763.682472us in weeks? 0.0000000012627025 Convert 118.00968 months to centuries. 0.0983414 Convert 519872.2 millilitres to litres. 519.8722 What is 1.0676 millennia in months? 12811.2 Convert 2876.736 micrograms to tonnes. 0.000000002876736 How many centuries are there in 0.6683953 decades? 0.06683953 What is 0.7552118 centuries in months? 906.25416 Convert 370.68723 milliseconds to hours. 0.000102968675 How many kilometers are there in 0.590398 centimeters? 0.00000590398 What is 57/2 of a kilogram in grams? 28500 Convert 907997.1 months to years. 75666.425 What is 0.1973325 centuries in decades? 1.973325 What is 7/8 of a litre in millilitres? 875 What is 56.11379 meters in centimeters? 5611.379 What is 289340.2 millimeters in centimeters? 28934.02 What is 508903.3mm in meters? 508.9033 What is three eighths of a litre in millilitres? 375 How many nanograms are there in 37/2 of a microgram? 18500 What is three tenths of a millimeter in micrometers? 300 What is 1/4 of a kilogram in grams? 250 Convert 111908.7 minutes to hours. 1865.145 How many years are there in fourty-two fifths of a century? 840 How many nanograms are there in 9/10 of a microgram? 900 What is 7.249659l in millilitres? 7249.659 How many centimeters are there in 1066.519 nanometers? 0.0001066519 What is six fifths of a litre in millilitres? 1200 How many days are there in 8157609.9 nanoseconds? 0.00000009441678125 What is fifteen quarters of a milligram in micrograms? 3750 How many centuries are there in 86493.79 millennia? 864937.9 Convert 7855.19 millennia to centuries. 78551.9 What is three eighths of a micrometer in nanometers? 375 How many nanograms are there in 4.43889kg? 4438890000000 What is 21/2 of a day in minutes? 15120 What is ten thirds of a week in minutes? 33600 Convert 3.399228 kilometers to meters. 3399.228 What is 3261.217 millilitres in litres? 3.261217 How many millennia are there in 4.825745 centuries? 0.4825745 What is 29/2 of a millimeter in micrometers? 14500 What is fifty-three quarters of a litre in millilitres? 13250 What is one tenth of a century in years? 10 How many millilitres are there in 27/5 of a litre? 5400 Convert 917.1315 decades to millennia. 9.171315 How many months are there in one fifteenth of a century? 80 Convert 8950.254 microseconds to nanoseconds. 8950254 What is 0.2151633 millimeters in micrometers? 215.1633 What is 3/5 of a millennium in months? 7200 Convert 101.629 litres to millilitres. 101629 How many millilitres are there in 61574.33 litres? 61574330 How many nanograms are there in 19.74811kg? 19748110000000 What is twenty-one fifths of a week in minutes? 42336 What is 0.9172875 micrometers in centimeters? 0.00009172875 What is 19.14637 milligrams in grams? 0.01914637 What is 30009.06 kilometers in nanometers? 30009060000000000 How many litres are there in 123.02ml? 0.12302 What is eleven eighths of a millennium in years? 1375 Convert 6692.904 millennia to months. 80314848 What is 5.964893 hours in nanoseconds? 21473614800000 What is 32.95761 hours in weeks? 0.19617625 What is 57.42017 grams in nanograms? 57420170000 How many millimeters are there in 1/5 of a meter? 200 How many decades are there in 452867.9 millennia? 45286790 How many seconds are there in 6/25 of a day? 20736 How many nanograms are there in one quarter of a microgram? 250 What is 788760.5 decades in centuries? 78876.05 What is 626547.3mm in centimeters? 62654.73 What is thirty-seven fifths of a kilometer in meters? 7400 What is 1/4 of a gram in milligrams? 250 How many grams are there in 3.882356mg? 0.003882356 What is seventy-one fifths of a millennium in decades? 1420 What is 21/5 of a litre in millilitres? 4200 What is 3/40 of a millimeter in micrometers? 75 How many years are there in 98758.41 millennia? 98758410 How many meters are there in 945.0342mm? 0.9450342 What is 3/28 of a week in hours? 18 How many months are there in 6.93652 centuries? 8323.824 How many millilitres are there in eleven eighths of a litre? 1375 What is eleven quarters of a litre in millilitres? 2750 What is one quarter of a millennium in decades? 25 What is 679.368 millennia in months? 8152416 What is twenty-nine thirds of a hour in minutes? 580 What is 732034.5 litres in millilitres? 732034500 How many millennia are there in 0.4165269 centuries? 0.04165269 Convert 638.80119 microseconds to hours. 0.000000177444775 What is fourty-three halves of a litre in millilitres? 21500 What is 516.5174 weeks in hours? 86774.9232 What is 3/5 of a millennium in months? 7200 What is 3/10 of a meter in millimeters? 300 What is 236.138 meters in nanometers? 236138000000 What is 328.317us in minutes? 0.00000547195 What is three eighths of a gram in milligrams? 375 What is 98.91795 centuries in years? 9891.795 What is 1/10 of a tonne in grams? 100000 Convert 8231.586s to minutes. 137.1931 How many nanograms are there in 13/4 of a microgram? 3250 What is 0.6578691 micrograms in milligrams? 0.0006578691 What is 21/8 of a litre in millilitres? 2625 What is 6/25 of a litre in millilitres? 240 What is 2.402915 centuries in years? 240.2915 What is one sixth of a hour in minutes? 10 What is 3/50 of a meter in centimeters? 6 Convert 670.0474 litres to millilitres. 670047.4 What is 25279.371 months in centuries? 21.0661425 What is 9417.14 centuries in months? 11300568 What is twenty-seven quarters of a millennium in months? 81000 Convert 727150.3 minutes to microseconds. 43629018000000 What is 0.440023 years in millennia? 0.000440023 What is 2.18232t in kilograms? 2182.32 Convert 0.8846027ml to litres. 0.0008846027 What is 12/25 of a millennium in months? 5
{ "pile_set_name": "DM Mathematics" }
. What is the tens digit of i(7)? 1 Let y = 55 - 37. What is the units digit of (9/y)/(2/100)? 5 Suppose 564 = -2*c + 8*c. Let m = -34 + c. Let y = 87 - m. What is the units digit of y? 7 Let v be -6 + (4 + -4)/5. Let p(a) = -a**3 - 5*a**2 - 6*a - 3. What is the units digit of p(v)? 9 Let r = -9 - -16. Suppose f = -r*f + 2152. What is the units digit of f? 9 Suppose -2*i = -4*n + 30, 3*n - 33 = 8*i - 3*i. Let l = -6 + n. Suppose 48 = 3*c + 5*t, 4*c - 64 = -l*c + t. What is the tens digit of c? 1 Suppose -4*o - 5*f + 3405 = 0, -o + 0*f + 852 = f. What is the tens digit of o? 5 Let o(y) = -y**3 + 4*y**2 + 12*y. Let t be o(6). Suppose h + h - 114 = t. What is the units digit of h? 7 What is the hundreds digit of (-28)/6*(-8262)/119? 3 Let v = -1197 - -620. Let c = 898 + v. What is the units digit of c? 1 Let u = 9532 + -4291. What is the tens digit of u? 4 What is the hundreds digit of (47/(-188))/(1253/(-1252) - -1)? 3 Let i = 12 - 7. Let v(k) = -2*k + i + 3 - 2. What is the units digit of v(-6)? 8 Let k(o) = 184*o + 108. What is the hundreds digit of k(11)? 1 Let p(i) = 6*i - 6. Let o(n) = -n + 1. Let y(r) = 5*o(r) + p(r). Let h(l) = -14*l - 86. Let f be h(-7). What is the tens digit of y(f)? 1 What is the units digit of (20 - 4)/((-14)/(-707))? 8 Suppose 4*t + 3475 = l, 3*l = 13*t - 11*t + 10475. What is the hundreds digit of l? 4 Suppose -2*a = -10*a - 3528. Let y = -128 - a. Suppose -y = -4*r - 17. What is the tens digit of r? 7 Suppose -3*r + 4*r - 3 = -f, 0 = 3*r + 5*f - 15. Suppose d - 15 = -d + 5*q, r = -4*d + 5*q + 25. What is the units digit of d? 5 Suppose 288 = -2*x + 2*i, 7*x = 12*x - 2*i + 711. Suppose y = 5*y + 380. Let h = y - x. What is the units digit of h? 6 Let z be (3 + -19)*(28/8 + -2). What is the units digit of 207*(3 + z/9)? 9 Suppose 657 = 3*z - 168. What is the units digit of z? 5 Let l(o) = o**3 + 5*o**2 - 6*o + 62. What is the tens digit of l(5)? 8 Let j = 1479 + -934. What is the units digit of j? 5 Let o(h) = 3*h**3 + h**2. Let f be o(-1). Let g = 11 + f. Let a = 28 - g. What is the units digit of a? 9 Let p(w) = -175*w**3 - 2*w**2 - w - 11. What is the units digit of p(-2)? 3 Let k(h) = 3*h**2 + 5*h + 4. Let b be k(-2). Suppose b*f - 2*f - 140 = 0. Let s = f - 16. What is the tens digit of s? 1 Let t = -7 - -13. Let p be 1/(-1) - (-17 + t). What is the tens digit of (4/p)/(11/440)? 1 Let x(z) = 3 + 5 - 5 + 12*z. What is the tens digit of x(4)? 5 Let b be 2 + -1 + 34/(-17). Let y = 6 - b. What is the units digit of y? 7 Suppose -14*t - 210 = -16*t. Let j = t - 2. What is the tens digit of j? 0 Let u(p) = p. Let r be ((-3)/2)/((-36)/24). Let n be u(r). Let s = 6 + n. What is the units digit of s? 7 Let u(k) = 2*k + 14. Let p be u(-8). Let g(r) = -4*r**3 - 2*r**2 - 4*r - 2. Let a be g(p). Suppose a = d + 6. What is the units digit of d? 4 Suppose 3*f - 3*o - 942 = 0, -3*f + 784 + 188 = 3*o. What is the hundreds digit of f? 3 Suppose u - b - 4 - 3 = 0, -3*b = 3*u - 15. Let c(s) = 59*s - 1. Let w be c(1). Suppose 4*i = -u + w. What is the tens digit of i? 1 Let g = -680 - -1571. Suppose -b = 2*t + g, b = t + 5*b + 442. What is the units digit of t/(-12) - (-12)/(-72)? 7 Suppose -9 = -5*s + 11, 5*s - 1388 = -y. What is the units digit of y? 8 Suppose 0 = 2*m + o - 5725, 4*m - o = -6*o + 11459. What is the thousands digit of m? 2 Suppose -4*y + 11555 = -o, -y = -80*o + 78*o - 2894. What is the tens digit of y? 8 Suppose t = -0*t, -q - 5*t = 0. Suppose -4 = z - q. What is the units digit of (-10)/z + 4/(-8)? 2 Let o = -61 + 39. Let n be 1/(-9) + -98*(-22)/693. What is the tens digit of (o - -3)*(-6 + n)? 5 Suppose -o + 3266 = 3*p, 15*o - p - 16346 = 10*o. What is the tens digit of o? 6 Let c(u) be the first derivative of u**3/3 + u**2/2 - 3*u - 5. Suppose 6 - 14 = 2*d. What is the units digit of c(d)? 9 Let u be (-10)/(-2) - (0 - -1). Let j(m) = -m**2 - 33*m - 2 - 26*m + 64*m. What is the units digit of j(u)? 2 Suppose -3*i + 6*i - t = 1015, i - 4*t = 320. What is the units digit of i? 0 Let n(r) = -19*r - 103. Let j be n(-9). Let z be 101/(3 + 0 + -2). Let p = z - j. What is the units digit of p? 3 Let d be (-855)/(-19)*1/3. Let i be (-8)/(-3)*d/20. Suppose -4*z - 2*g = -3*z - 36, 5*z - i*g = 228. What is the units digit of z? 4 Suppose o = -2*b + 5, 2*o + 7 = 4*b + 5*o. Suppose 0 = 5*y - 4*w - 68, -b*w = -5*y + y + 56. What is the units digit of y? 2 Suppose 4*l + 18*l = 5720. What is the hundreds digit of l? 2 Suppose 364*k = 375*k - 3399. What is the tens digit of k? 0 Let f be 1965/25 - (-4)/10. Let l = 164 - f. What is the units digit of l? 5 Suppose 5*z + 3*k - 1788 = 0, 4*z + 2*k - 1287 = 143. What is the hundreds digit of z? 3 Let m be 12 + -8*(-1)/(-2). Suppose m = -5*o + 7*o. Let d = o - 3. What is the units digit of d? 1 Let z(x) = -x**2 + 5*x + 1. Let c be z(4). Suppose 3*o = c*i - 0 + 14, 4*i + 24 = 4*o. Suppose 0 = o*s - 3*s - 25. What is the units digit of s? 5 What is the units digit of ((-1209)/279)/(2/(-1014))? 7 Let u(q) = 2*q**2 - 2*q + 114. What is the units digit of u(20)? 4 Let g = 43 + -43. Suppose 2*k - 6 = g, 4*s - 417 = s + k. What is the hundreds digit of s? 1 Let q = -15 - -19. Let k be ((-8)/q)/(6/(-15)). Suppose k*m - 40 = -5*t + 3*t, -5*t - 4*m = -117. What is the tens digit of t? 2 Let k = -37 - -473. What is the tens digit of k? 3 Let r(q) = -q + 10. Let l(d) = d**2 - 8*d + 21. Let n be l(5). What is the units digit of r(n)? 4 Let y = -1 + 4. Suppose -13 = -y*j - 1. Suppose -j = -3*m + 26. What is the units digit of m? 0 Suppose 2*p = -21*a + 25*a - 2350, -1752 = -3*a + 5*p. What is the tens digit of a? 8 Suppose 3*i + 6 = 0, 8*i - 3*i - 4334 = -2*u. What is the units digit of u? 2 Suppose -10 - 6 = 4*p. Let c be (-6 + 7)*(1 + p). What is the units digit of c - (0 - 10) - 2? 5 Let n(o) = -481*o + 154. What is the hundreds digit of n(-3)? 5 Let i(d) = 24*d**2 - 25*d**2 + 2 + 2*d + 3*d**3 - 8*d**3. Let q be i(-1). What is the units digit of (-12)/q*(0 + -1)? 3 Let v = -65 + 145. Let r = 24 + v. What is the units digit of r? 4 Suppose -17*z + 3*z + 7238 = 0. What is the hundreds digit of z? 5 Let d = -39 + 99. Suppose 0 = -6*l + 7*l - d. What is the tens digit of l? 6 Let a = 2520 - 683. What is the hundreds digit of a? 8 Suppose 3*u + 9 = -4*f, 2*f - u - 5 = -2. Suppose -2*m + 4*j = -146, f*m + 237 = 3*m + 3*j. What is the units digit of m? 7 Let y be 12/16 + 498/8. Suppose -d + 4*d + y = 0. Let c = d - -26. What is the units digit of c? 5 Suppose -6*j = -j - 145. Suppose -4*a = -j - 23. Let d = a - 8. What is the units digit of d? 5 Suppose -158 = 4*h - 1646. What is the units digit of h? 2 Let p(w) = -2*w**3 + 4*w**2 - 3*w + 6. Let i be p(3). Let g = 30 + i. Let k(a) = a**3 - 7*a**2 - 13*a + 6. What is the units digit of k(g)? 1 What is the thousands digit of (-16818)/126*-12*7/2? 5 Let y be 0 + 9 + -2 + 2. Let i = y + -1. What is the units digit of i? 8 Let l(b) = b - 21. Let y(u) = u - 20. Let j(q) = 5*l(q) - 6*y(q). Let c be j(12). What is the tens digit of 32 + (3 - (1 + c))? 3 Suppose -22*i + 16*i = -3342. What is the units digit of i? 7 Suppose 0 = -3*h + 5*h. Suppose h = -5*y + g - 225, 3*y = -2*y + 3*g - 215. What is the units digit of (-4)/7 - y/7? 6 Let w(c) = 42*c**2 - c - 2. Let k be w(-1). Suppose 0 = r + k - 103. What is the units digit of r? 2 Let a = 57 - 165. Let l = a + 170. What is the units digit of l? 2 Suppose 72098 = 35*f + 12*f. What is the thousands digit of f? 1 What is the tens digit of ((-172)/6)/((-84)/2898)? 8 Let f be (-3)/6 - (-45)/(-2). Let h(k) = -5*k - 55. What is the units digit of h(f)? 0 Let n = 26 - 20. Let c = 34 - n. What is the units digit of c? 8 Let n(y) = 8 + 6 - 2 - y**3 + 4 - 14*y**2. Let w be n(-14). Suppose 0*a + 3*i - 27 = -a, -w = -3*a + 4*i. What is the tens digit of a? 1 Let a(l) = -15*l - 147. What is the units digit of a(-15)? 8 Let n(v) = v**3 - v**2 + v + 63. Let o be n(0). Suppose -2*b = -b + 4*i - o, 2*b - 174 = 4*i. What is the tens digit of b? 7 Let i(j) = 141*j**2 - 2*j + 2. Let y be i(2). Suppose -142 + y = 5*f. Suppose -n = -4*n + f. What is the units digit of n? 8 Suppose -3*z - z = 0. Let y be 3 - (0 - z)/(-1). Suppose -103 - 23 = -y*p. What is the tens digit of p? 4 Suppose -2*r = -5*g + 7*g - 818, -3*r + 1223 = 2*g.
{ "pile_set_name": "DM Mathematics" }
ominator of c and -3/10? 90 Let t = 16907/1491 - 3/497. What is the common denominator of 36/11 and t? 33 Let i be (2 - 3) + 2 + -1. Suppose 0 = -3*g + 3 - i. What is the common denominator of -83/16 and 111/(-6)*g*-1? 16 Let f = 6 + -3. Suppose 30 = 3*n + 5*p - 2*p, 6 = 3*n - f*p. Let g = -25 + 29. What is the least common multiple of g and n? 12 What is the common denominator of -17/15 and 63/(-20) - (-48)/(-64)? 30 Let c(m) be the third derivative of -m**4/12 + m**3/3 + 3*m**2. Let n be c(-4). Let b = 2 + n. Calculate the lowest common multiple of 14 and b. 84 Let y(n) = n**2 + 3*n + 1. What is the smallest common multiple of 5 and y(0)? 5 Let x = 93 - 1861/20. Find the common denominator of x and 52/15. 60 Let y(s) = s**3 - 9*s**2 - 11*s + 15. Let h be y(10). Suppose -h*a - 190 = 25. What is the common denominator of -37/2 and (a/(-4))/(15/20)? 6 Suppose -5*w = -11 - 29. Let v = w + 4. What is the least common multiple of 18 and v? 36 Suppose -15*v + 19*v = 64. Calculate the smallest common multiple of v and 6. 48 Find the common denominator of -107/18 and 14/91 + (-3999)/390. 90 Let p = 6 + -2. Suppose -p*l - t = 833, l + 4*t + 222 = t. Calculate the common denominator of -37/5 and (l/(-15))/(4/5). 20 Let i be 5 + -2 + 4 - -1. Let u = i + -1. What is the lowest common multiple of u and ((-20)/(-30) + 0)/(4/30)? 35 Suppose 47 = 4*x - 13. Let l be 1/(1*3/x). Suppose -3*i + 33 - 8 = l*p, i = 4*p - 3. What is the least common multiple of i and 7? 35 Let t(g) = -5*g - 1. Let n(z) = 6*z**2. Calculate the smallest common multiple of t(-1) and n(-1). 12 Let q(n) = -5*n + 3. Let f(b) = 1. Let h(z) = 3*f(z) - q(z). Calculate the least common multiple of 10 and h(1). 10 Let p = -8 - -24. What is the lowest common multiple of p and 22? 176 Suppose -20 = -5*m, 2*q = 3*m - 0*m + 8. Calculate the smallest common multiple of 7 and q. 70 Suppose 0 = -0*v + 4*v - 16. Calculate the smallest common multiple of (-1)/((-4)/v*1) and 10. 10 Let u be (25/12)/((-1)/(-21)). Let y be (1/(-14))/(6/(-5201)). Let f = y - u. Find the common denominator of f and 16. 6 Let w = -908 - -4489/5. What is the common denominator of w and -1 + -2 - (-268)/16? 20 Find the common denominator of 17/3 and (-434)/117 - 10/(-65). 9 Let v = -45257/1584 + 2611/144. Let q = 58/11 + v. What is the common denominator of q and -71/56? 168 Suppose 21 = -3*b - 6. What is the smallest common multiple of (b + 2)*(-3 + 2) and 10? 70 Let s = -33 + 53. Suppose 0 = -p + 5*z + 8 + 4, 2*z = -5*p + 114. Calculate the least common multiple of s and p. 220 Find the common denominator of 4/160*(-945)/(-6) and -95/8. 16 Suppose -t = t - 2*k - 10, -23 = -4*t + k. Let j(c) = -2 + 1 - 1 + 2*c + 5*c. Calculate the smallest common multiple of j(1) and t. 30 Suppose -5*n + 5*t - 5 = 10, 3*t + 39 = -3*n. Let u = n - -14. Let w(f) = -5*f**3 - f**2 + 1. What is the smallest common multiple of u and w(-1)? 30 Let f(k) = -13*k**2 - 4*k - 1. Let b be f(-5). Let v = b - -4287/14. Find the common denominator of v and -113/20. 140 Let s = -10 - -20. What is the smallest common multiple of 14 and s? 70 Find the common denominator of (-12)/(-70)*1275/136 and 52/9. 252 Let y be (-79798)/(-144) - (-2)/9. Let d be 6/(-24) - (-4462)/(-8). Let m = d + y. Find the common denominator of -87/10 and m. 40 Let m(w) = -6*w - 4. Suppose -2*f = -5*f - 24. What is the lowest common multiple of -1 - (f + (2 - 1)) and m(-4)? 60 Suppose j - 70 = 4*d, -3*d - 170 = -3*j + d. Suppose 5*s = r - 11 - 9, 5*s - j = -r. Calculate the common denominator of r and 17/2. 2 Suppose -44 = -3*a - 2*m, 2*a - 4*m - 38 = a. Let p(j) = 7*j - 5. Calculate the smallest common multiple of a and p(1). 18 Calculate the common denominator of -28/9 and -5*(-6)/9*3. 9 Let a be 1*2/4*28. Suppose 4*f = 2*i + a, 0 = 4*i - 4*f + 15 - 7. What is the smallest common multiple of i and 10? 30 Let o = -116219/18 - -6450. Calculate the common denominator of o and 81/14. 126 Let o = 8 + 0. Suppose 2*s - o = 12. Let v = 8 - 4. What is the least common multiple of s and v? 20 Suppose -5*m = -14 - 1. Suppose -6*s + 5*s - 2*g = -5, 3*g = m*s - 15. Calculate the smallest common multiple of s and 56/10 - 2/(-5). 30 Suppose 0*v + 4*v - 36 = 0. What is the least common multiple of 8 and v? 72 Let z be (1 - 0)*(-2 + 5). Let r be (-48)/(-10) + z/15. Let p = -15/2 + r. Calculate the common denominator of p and 53/3. 6 Suppose s = 2*s - 18. Let c = -34 + 36. Calculate the least common multiple of s and c. 18 Suppose -r - 2*r = -3. Suppose -g - 4 = 0, 12*a + g = 7*a + 31. Calculate the least common multiple of r and a. 7 Calculate the least common multiple of 72 and 1 - ((0 - 13) + (3 - 3)). 504 Let h = -289 - -2585/9. Let y(d) = 6*d. Let g be y(-1). Find the common denominator of (-6)/(-9) - 185/g and h. 18 Let n(t) = -t**3 - 15*t**2 - 3*t - 25. Suppose 3*w - 6 = 24. Calculate the least common multiple of n(-15) and w. 20 Suppose -3*g = -10 + 1. Let f be ((-2)/(-4))/(g/6). Find the common denominator of -31/22 and (2 - (-31)/20)/f. 220 Let c = -1296 - -18153/14. Calculate the common denominator of (-136)/132*(-9)/4 and c. 154 Let n = 1556 - 17098/11. Suppose 3*j + 2 = -1. Find the common denominator of j/(-25)*(-405)/2 and n. 110 Let c(n) = -7*n - 1. Let y be c(-2). Suppose b - 5 = y. What is the smallest common multiple of b and 14? 126 Let u = -24 + 14. Let d = u - -26. Let i(z) = z**2 - 3*z - 2. What is the least common multiple of d and i(4)? 16 Let d be -10*1*(-1 + 6). Suppose l + h - 10 = -0*l, 5*l - 3*h = 10. Calculate the common denominator of 97/4 and (-1)/l + (-145)/d. 20 Let q be 604/536 - 2/4. Let v = q + 5527/268. Find the common denominator of v and 45/4. 4 Let v = -309/760 + 1/152. Calculate the common denominator of v and 23/9. 45 Let l be 2 + 0 - (-85)/55. Let b = 141/44 + l. Find the common denominator of b and 83/2. 4 Let n = -165/17 + 2090/119. Let r(o) = -o - 1. Let v be r(1). Calculate the common denominator of (v/(-2))/((-18)/(-93)) and n. 42 What is the smallest common multiple of 8/((-22)/(-5) - 4) and 10? 20 Suppose 3*t - 93 = -3*c, 3*c = -3*t + 7*t + 58. Suppose 5*w - 4*u = c, 7*w - 3*w - 27 = -3*u. Let k = w + -3. Calculate the smallest common multiple of k and 7. 21 Let s = -6015/7 - -852. Calculate the common denominator of 41/7 and s. 7 Let m = 27 + -11. Calculate the least common multiple of 4 and m. 16 What is the common denominator of 73/6 and ((-15)/(-11))/((-33)/22)? 66 Let k = 115/4 + -1259/44. Calculate the common denominator of (-206)/24 - (-1 - -2) and k. 132 Suppose -72 = -14*g - 4*g. Let j = 52 + -32. Calculate the lowest common multiple of g and j. 20 Suppose -4*l - 12 = -3*c, 9*l - 4*l - 39 = -3*c. Calculate the lowest common multiple of 14 and c. 56 Let m(z) = -z**2 + 7*z + 10. Let a(i) = i + 5. Let w be a(3). Calculate the least common multiple of 20 and m(w). 20 Suppose -2*m + 0*m + 6 = 0. Find the common denominator of (-92)/88 - (7 - 3) and (-423)/(-84) - m/2. 308 Suppose 0 = -48*j + 46*j + 90. What is the smallest common multiple of 30 and j? 90 Let i = -1521971/4 - -378425. Let l = i + 2085. Find the common denominator of 1/14 and l. 28 Calculate the smallest common multiple of 2 and (48/28)/(4/42). 18 What is the common denominator of 4 - (345/100 - 0) and -39/86? 860 Suppose 4*m + 5*b = 29, 3*m = 4*m + 5*b - 26. Suppose 5*y + m - 9 = -4*t, 5*t = -15. Suppose -p = -y + 1. What is the least common multiple of 10 and p? 30 Let a = 94 + 22. Let g be ((-2190)/(-16))/((-7)/a). Let w = -2272 - g. Find the common denominator of 43/4 and w. 28 Let a(o) = -o**3 + 6*o**2 + 14*o - 3. Let i(l) = -l**3 + 6*l**2 + 15*l - 3. Let g(z) = 6*a(z) - 5*i(z). What is the lowest common multiple of g(7) and 4? 44 Suppose 4*i = 2*j - j + 83, 5*j + 75 = 3*i. Calculate the smallest common multiple of i and 20. 20 Let s = -20837/13497 + -2/1227. What is the common denominator of s and 48/5? 55 Let g(b) = -b**3 - 4*b**2 + 2*b + 3. Calculate the least common multiple of 20 and g(-5). 180 Let l = 39360553/31152 + -1/31152. Let w = -1228 + l. Calculate the common denominator of (27/48)/(5/(-12)) and w. 20 Let p(y) = -10*y - 29. Calculate the lowest common multiple of p(-6) and 6. 186 Suppose 0*n = -n + 2. Let v = -40 + 62. Calculate the least common multiple of n
{ "pile_set_name": "DM Mathematics" }
(1/2)))/u*u)**(3/10)*(u*u/(u*u/u**(2/3)*u)*u*u)**(-38/5)*((u*u**(-2/7))/u)**(-45/4)*u**(-3/10)*u**(-7/5)*u assuming u is positive. u**(-4201/420) Simplify ((v*v**1*v)**(-37)/(v**11)**22)**40 assuming v is positive. v**(-14120) Simplify ((p**(1/2)*p)**(22/7))**(-9/2)*((p/(p/p**(3/7)))/(p/(p*p**(-1/7)/p)))/(p**(1/5)*p**2*p*p) assuming p is positive. p**(-1829/70) Simplify (j/(j*j**(1/4))*j**(-8)/j*j*j*j*j**6*j*j*j**(2/5)/j*j)/(((j**6/j*j)/((j*j**(1/4))/j))/((j/(j**(-2/3)*j)*j)/j)**(14/3)) assuming j is positive. j**(-22/45) Simplify (l/(l*l/(l**(4/9)/l))*l*l/(l*l**(-3))*l)**(21/5)*(l*l*l**(-2)*l)**38*(l/(l/l**(-2)*l)*l)**(4/13) assuming l is positive. l**(10111/195) Simplify ((f/f**(2/11))/(f/f**(2/17)))**(-2/49)*(f/(f/(f*f**1*f*f)))**16/((f*f/(f/(f**(-2)/f*f*f)))/f)**(8/3) assuming f is positive. f**(1832672/27489) Simplify (((z/z**(-5))/(z/(z*z**(-1/4))))/(z**1/z*z*z**(-11)))**(2/3) assuming z is positive. z**(21/2) Simplify ((s**(-4/17)*s)/s)**47*(s**(3/7)/s)/(s*s**(-2/3)) assuming s is positive. s**(-4271/357) Simplify ((((((b/(b**4/b))/b)/b)/b)/b**(1/8))/(b**(-2)*b**(-8)))/(((b**(1/2)*b)/b)**(-1/25)*(((b*b**3)/b)/b)/b**(-1/4)) assuming b is positive. b**(529/200) Simplify ((r/r**(1/4)*r)**(-22))**(-20)/(r**(-11)*r*r*r*r*r**(2/39))**(-26) assuming r is positive. r**(1768/3) Simplify ((s/(s*s**(-4)*s))/(s/((s/(s**1*s)*s)/s))*s*s**(-7)*s*s*s**(-8)*s*s)/(s**(-3/4)/s**(-8))**33 assuming s is positive. s**(-993/4) Simplify ((((t*t/(t/(t/((t*t**(-1))/t*t)))*t)/t)/t)/t*t**(-5))**(-6)*(t*t*t**(-1/2)*t)**(-27)*(((t*t**(2/9))/t)/t*t)**(10/7) assuming t is positive. t**(-4685/126) Simplify (m*m**(-4/7)*m*m**(-3/4))/(m*m**(-2/5)*m**(4/5))*m**(-2)*m/(m/m**(-1))*(m**(-2/5))**(-38) assuming m is positive. m**(1607/140) Simplify ((p/(p/(p**(-10)*p*p)))/(((p*p/(p**(-6)*p))/p)/p*p)*(p*p*p**5)/(p**(-10)/p))**(-8) assuming p is positive. p**(-32) Simplify (((d/(d*d/(d*d**3)))/d)/d**(-1/3)*(d/d**(-2/5)*d)/d**(-3/5))/((d**(2/3))**(2/69))**(-1/3) assuming d is positive. d**(3316/621) Simplify ((v**(-2)/v**(-1/5))/((v*v**(-5))/(v/v**(-5))))/((v**(-1))**(-33)*(v*v*v**(5/6))/v**1) assuming v is positive. v**(-799/30) Simplify (a**(-2))**(2/3)*a**(2/7)*a**(2/23)*a**5/(a**(-1/6)*a)*(a**(-2))**(-1/77) assuming a is positive. a**(34343/10626) Simplify ((u**(1/3)*u*u)/u)**(-2/7)/(u**(-18/13)/(u*u**(2/73)*u)) assuming u is positive. u**(60406/19929) Simplify z/(((z*z*z/(z/z**(1/7)))/z)/z*z)*z**3*z*(z*z*z/((z**6/z)/z))/(z*z**1)*(z*z**(-2/7))**(5/3)/((z/z**(-5))/z**4) assuming z is positive. z**(1/21) Simplify ((c*(c*c*c*c**4/c*c*c*c)/c)**(-2/25)/(c*c*c**0*c)**34)**46 assuming c is positive. c**(-118128/25) Simplify (k**(1/6)/k)/k*k*k**(-1/7)*(k**(1/4))**(-39)*(((k*k**(-5))/k)/k**(-1/6))**(-8/5) assuming k is positive. k**(-419/140) Simplify ((h/h**2)**(-9/7))**(34/3)*(h**(5/2)*h**(-10))**(-2/29) assuming h is positive. h**(3063/203) Simplify ((s/(s**1/s)*s)**(-1/11))**(3/8)/(s**3*s*s*s**(3/2))**(-47) assuming s is positive. s**(13439/44) Simplify ((r**0*r)/r*r*r**(-8))/((r/(r*r**(1/6)/r))/r**3)*(r/(r**(1/3)/r))/(r/((r/(r/((r**9*r)/r)))/r))*r**(-2/5)/r**(5/6) assuming r is positive. r**(13/5) Simplify ((b*(b/(b**2/b))/b)**(-16)*(b/(b/b**6))**(-13))**(6/11) assuming b is positive. b**(-468/11) Simplify (x**(-5/7))**(-7/10)/(x/x**37*x*x*x*x/(x*x*x**(-21/2))) assuming x is positive. x**24 Simplify (j**(-1/3)/j)**(-12)/((j**(4/3)/j*j)/j**(-1/4))*(j/((j/(((j/j**7)/j)/j))/j))/(j/(j**0*j))*j**(-1/3)*j**(1/4) assuming j is positive. j**(22/3) Simplify (((f**(-4/9)*f*f**(-1/11))**(-8/13))**(-36))**5 assuming f is positive. f**(7360/143) Simplify (b*b/b**(2/19)*b/b**(5/11)*(b/((b*b/b**(-2))/b)*b)/(b/((b/(b*b**(-1/11)))/b)))**(-3/11) assuming b is positive. b**(294/2299) Simplify (u**(-1))**(-46)/(u**(-1/4)/u**(1/3))*((u/(u/u**(-1/3)))**(2/29))**17 assuming u is positive. u**(16075/348) Simplify (s/s**39*s)/(s/(s/(s*(s/(s/(s*s*s**(-1/51)*s*s)))/s))*s)*(s**25/s)**(2/5) assuming s is positive. s**(-8257/255) Simplify ((w**(2/41)/w)**30/(w**(-42))**(-23))**(-8) assuming w is positive. w**(326208/41) Simplify (c*c**(-4)*c*c**6)**(-13)/(c**(-4)/(c/(c/c**(-1))))**(-2/27) assuming c is positive. c**(-470/9) Simplify (((a*a**1)/a*a)**20)**2/((((a*a*a/a**(-1/3)*a*a*a)/a)/a*a**(2/3))/((a*(a*(a*a**(-1))/a*a)/a*a*a)/a*a)**(-16/7)) assuming a is positive. a**(477/7) Simplify (d**(-2/67)*d)**20*(d**25)**15 assuming d is positive. d**(26425/67) Simplify (s*((s*s**3)/s)/s*(s/s**(-3/8))/s*s/((s**(-1)/s)/s)*s**(-2/37))**(-7/5) assuming s is positive. s**(-15169/1480) Simplify (y/((y**(-3/13)*y)/y)*y**15)/(y**(-14/9)*y**(-38)) assuming y is positive. y**(6527/117) Simplify ((h**14)**(1/15)/(h**30/((h*h/(h/(h**7/h)))/h)))**(20/7) assuming h is positive. h**(-1384/21) Simplify s**(-1/8)*s/(s**(-2/15)*s)*(s**0)**12*(s*((s**(2/9)*s)/s)/s*s)/s**(6/11)*s*s**6*s**(1/13) assuming s is positive. s**(399589/51480) Simplify (m**(-1/4)/(m/m**(-2/17)))**(-2/35)/((m/(((m/m**(-2/9))/m*m)/m))/m**7*(m/(m/m**(1/4)))**(-43)) assuming m is positive. m**(365219/21420) Simplify (u**(-5)/(((u*(u**(-1/4)*u)/u)/u)/u*u))**(24/5)/(u/(u/(u*u**4/u*u))*(u/u**(11/5))/u*u)**(-16) assuming u is positive. u**38 Simplify ((g/(g/g**(-16)))/g*g*g**(2/9))/(g**(-2/61)*g*g*g/(g*g/g**(-3/2))) assuming g is positive. g**(-16739/1098) Simplify (n*n**(-22))**5*(n/(n/((n*n*((n*n**(-40)*n)/n)/n)/n)))/n**(-6) assuming n is positive. n**(-138) Simplify (((g*g*g*g*g*g**4*g)/g*g*g**(2/19))/(g**(-3/4)/g**(-1/4)))/((g*g*g**(-1)/g*g)**(-1/7)*g**4*g*g**(1/2)/g) assuming g is positive. g**(831/133) Simplify (((c**(-13)*c**(-7/6)*c)**(6/7))**(-27))**(-50) assuming c is positive. c**(-106650/7) Simplify (((q**(-2)*q/q**(-14))**(-20))**25)**(2/11) assuming q is positive. q**(-13000/11) Simplify ((k**5/(k*k**4))/((k*k**(-3)*k)/(k/k**(3/2))))**(2/5) assuming k is positive. k**(1/5) Simplify ((u*u**(-17)*u)/u)**(-2/101)/(u**43*u**(1/6)) assuming u is positive. u**(-25967/606) Simplify ((q**(-6)/(q/(q/(q/(q*q**(2/33)/q))*q)*q))/(q**1)**(-5/11))**(-5/4) assuming q is positive. q**(535/66) Simplify ((c**19/c)**(-6/5)/(c**(3/8)/(((c/(c/c**14))/c)/c)))**(-29) assuming c is positive. c**(11571/40) Simplify (i**(2/9)*i**(1/6))**(-23/2)/((i**(-4/5))**(-4/11))**(-2/17) assuming i is positive. i**(-149383/33660) Simplify (p*p**(-2/15)/p*p**(2/13)*p*p**(3/5)*p/(p**5/p))/(p**(-2/15)/p**(6/11))**(2/97) assuming p is positive. p**(-284111/208065) Simplify ((a/a**(-1))**(1/6)/(a**(-1))**32)/((a/(a/a**(-1/6)*a))/a*a*a*a**(2/7)*a)**34 assuming a is positive. a**(-40/7) Simplify (z/z**(-1/8)*z*z**(1/4)*z*z**(5/3)*z**(-2/3)/z)/((z**(-2/3))**(-5/4))**13 assuming z is positive. z**(-179/24) Simplify ((v/(v*v/v**(2/43)))/((v**(3/5)/v)/v*v)*(((v/(v/(v**3/v)))/v*v*v)/v)**(-23))**(-26/3) assuming v is positive. v**(260234/645) Simplify ((a*a/(a/a**3)*a**(4/3))/(a*a**17*((a*a**23)/a)/a))**4 assuming a is positive. a**(-416/3) Simplify ((i*i/i**2*i*i*i/(i/((i/(i**(1/7)/i))/i))*(i**(-1/2))**(1/6))**38)**43 assuming i is positive. i**(190361/42) Simplify (((f**(3/4)/f)/f*f**3)/(f/(f/(f**(-1)/f)*f))**(1/3))/((f/(f/f**(2/7)*f*f)*f**1)/(f**(-6)*f*f**(1/7))) assuming f is positive. f**(-39/28) Simplify (((n**(-1)/n)/n)**(-21))**(-17)*(n/n**4*n/(n*n/(n/(n*n*n**(1/7)))))**(-18/7) assuming n is positive. n**(-51831/49) Simplify ((k**(-2/11)/(k/(k/k**(1/5))*k))/(k**(-12))**(-42))**(-12) assuming k is positive. k**(333552/55) Simplify ((d**1)**41)**(-44)/((d/d**(-1/2))**(6/5)/(((d**(2/5)*d)/d)/d*d)**(-45)) assuming d is positive. d**(-9119/5) Simplify (((i/i**(5/6))/i)/(i**3*i))/(i/(i*i**0))**(38/3)*(i*(i**(-15)*i*i)/i*i*i**(-6))**(-2) assuming i is positive. i**(187/6) Simplify (f/(f*f/f**(-1/2)))**(-1/14)/(f**(5/6)*f**(-1/2))*(f/f**0)/(f*f**(-6)*f)*(f**(-2/17)*f*f)/f**(-4) assuming f is positive. f**(15217/1428) Simplify ((w*w*w/(((w**(1/28)*w)/w)/w)*w)**(-1/30)/(w**22)**(-15/7))**(30/13) assuming w is positive. w**(39461/364) Simplify (k**(-1/14)/(k*k/(k/(k*k/k**(-3)))))**30/((k*k/(k/k**1)*k)**(-50)/((((k/(k*k**(1/4)))/k)/k)/(k/((k**(-2)/k)/k)))) assuming k is positive. k**(-1103/28) Simplify (n/(n*n/(((n/(n**6*n)*n)/n)/n)))/n**(-2/11)*(n*n**6)/n**(-3/7)*((n**(-8)*n)/n**7)**(15/7) assuming n is positive. n**(-2340/77) Simplify ((u**30/u)/(u*u*u*(u/(u/u**(9/2))*u)/u)*u*u**(-15)*u*u*u**5)**(-25)
{ "pile_set_name": "DM Mathematics" }
t t be l(6). Let y(o) = -t*o**2 - 6*o**2 - 4*o**2 + 0*o**2. Let d(h) = -h. What is y(d(c))? -20*c**2 Let n(i) be the third derivative of i**4/24 - 227*i**2. Let h(r) = r - 189. Determine n(h(y)). y - 189 Let x(y) = -5*y**2 + 4*y + 2. Let i(r) = 17*r**2 - 14*r - 7. Let s(u) = -6*i(u) - 21*x(u). Let q(g) = 32*g. Calculate s(q(l)). 3072*l**2 Let w(n) = 11*n. Let m(z) = 3*z. Let y(g) = -12*m(g) + 3*w(g). Let v(p) = -4*p**2 - 15*p. Give v(y(c)). -36*c**2 + 45*c Let k(w) = 542*w. Let r(l) = -58*l + 2. Determine r(k(z)). -31436*z + 2 Let w(r) = 6*r**2. Let y(f) = -25*f - 17*f + 30*f - 38*f - 39*f. Determine y(w(m)). -534*m**2 Let s = 60 + -60. Let m(t) = -2*t**2 + s*t**2 + 5*t**2. Let v(w) be the first derivative of -w**3 - 1. Determine m(v(d)). 27*d**4 Suppose 0 = 3*j - 4*p - 3606, 4*j - 886 = -2*p + 3944. Let c(o) = -o - 1206 + j. Let m(u) = 15*u**2. Calculate c(m(x)). -15*x**2 Let u(d) = -3*d. Let x be (-22)/(-4) - 1/(-2). Let m(n) = -4*n**2 + x*n - 3*n - 3*n. Calculate u(m(l)). 12*l**2 Let u(x) = -x**2. Suppose 5 = -2*d - 5*q - 6, -50 = -5*d + 3*q. Let n(i) = 7 - d + 5*i - 4*i. Calculate u(n(l)). -l**2 Let d(i) be the first derivative of -6*i**3 + 1. Let l(o) = -20*o + 45*o + 7 - 7 - 23*o. Give d(l(f)). -72*f**2 Let u(t) = 1592691 - 1592691 + 22*t**2. Let d(f) be the first derivative of 2*f**3/3 - 1. Give d(u(p)). 968*p**4 Let v(i) = -2*i + 3*i - 5*i - 9*i + 0*i. Let w(a) = -2*a. What is w(v(d))? 26*d Let n(w) = 8*w. Let d(j) be the third derivative of j**5/30 - 72*j**2 - 1. What is d(n(x))? 128*x**2 Let z(v) = 268532*v**2. Let s(i) = -i. Determine z(s(r)). 268532*r**2 Let z(y) = 3749*y. Let r(q) = 7*q. Calculate r(z(a)). 26243*a Suppose 0 = 3*l + 2*f - 12 + 38, -l + 4*f - 18 = 0. Let g(k) = -7*k + 5. Let i(x) = -4*x + 3. Let p(q) = l*i(q) + 6*g(q). Let h(s) = 14*s**2. Determine h(p(z)). 56*z**2 Let v(w) = 994*w**2. Let r(t) = -5298*t. What is r(v(h))? -5266212*h**2 Let j(n) = 48*n**2. Let d(y) = 19*y**2 + 7*y + 21. Let k(u) = -8*u**2 - 3*u - 9. Let w(o) = 3*d(o) + 7*k(o). Give w(j(a)). 2304*a**4 Let p(z) = 2*z**2 - 2*z. Let f(k) = -8*k**2 + 9*k. Let b(j) = 2*f(j) + 9*p(j). Let m(r) = -38*r. Give b(m(x)). 2888*x**2 Let s(z) = 2*z. Let i(f) be the first derivative of -2*f**3/3 + 289*f**2/2 - 91. Give i(s(k)). -8*k**2 + 578*k Let k(v) = -74*v + 37*v + 7*v**2 + 37*v. Let w(c) = -2*c. What is k(w(t))? 28*t**2 Let o(k) = 2*k**2 - 3*k + 5. Let f be o(3). Let v(m) = 6 + 24*m - 12*m - f*m. Let t(y) = 2*y. Calculate v(t(q)). -4*q + 6 Suppose -6*u - 30 = -9*u. Let c(o) = -17 + 7 + u + 2*o**2. Let w(a) = -5*a. Determine c(w(n)). 50*n**2 Let f(k) = 5*k. Let s(d) = 291*d**2 - 2*d + 2. Calculate f(s(o)). 1455*o**2 - 10*o + 10 Let j(d) be the second derivative of 49*d**3/3 + 341*d. Let z(v) = 7*v. Give j(z(l)). 686*l Let m(h) = -4*h**2 + 12*h + 6. Let b(l) = -3*l**2 + 10*l + 5. Let s(u) = 6*b(u) - 5*m(u). Let d(a) = -264*a**2 - 2*a. What is d(s(n))? -1056*n**4 - 4*n**2 Let u(k) = 2 - 3 + k + 1. Suppose o + 2 = z, 0 = -3*o + 7*o - 8. Let l(w) = 0*w + 3*w - z*w. Determine l(u(t)). -t Let o(s) be the second derivative of s**4/12 - 21*s. Let j(k) be the third derivative of k**4/24 - k**2. Give j(o(n)). n**2 Let g(k) = 2868688*k. Let i(s) = 2*s**2. Give g(i(q)). 5737376*q**2 Let d(f) = -33*f**2 + 27*f. Let w(l) = -5*l**2 + 4*l. Let g(c) = -4*d(c) + 27*w(c). Let q(t) = 94*t**2. Determine q(g(h)). 846*h**4 Let s(i) = 467*i. Let p(t) = 5*t**2 + t. What is s(p(f))? 2335*f**2 + 467*f Let z(a) = 392*a + 70. Let g(u) = 11 - 14 - 15*u + 2*u - 4*u. Let n(h) = 140*g(h) + 6*z(h). Let w(d) = 2*d. Calculate w(n(j)). -56*j Let r(a) = -248657*a**2. Let h(d) = d**2. Give r(h(j)). -248657*j**4 Let o(m) = 11395*m**2 - 3*m + 10. Let y(q) = -2*q. Calculate y(o(v)). -22790*v**2 + 6*v - 20 Let c(z) = -693*z**2. Let o(f) = f**2 - 1. Give c(o(a)). -693*a**4 + 1386*a**2 - 693 Let g(s) = -s**2. Let p(v) = -2*v + 3. Let n(k) = -4*k - 3*k + 3 + 3*k + 2. Let h(l) = -3*n(l) + 5*p(l). What is h(g(x))? -2*x**2 Let d(x) = -x. Let j be 20/(-30)*(-5 - 8/(-4)). Let u(l) be the third derivative of l**j + 0*l - 5/12*l**4 + 0 + 0*l**3. Determine d(u(h)). 10*h Let j(o) = -o. Let h(w) = -w - 6. Let s(n) = -63*n - 252. Let a(i) = -42*h(i) + s(i). What is j(a(c))? 21*c Let y(p) = -2*p. Let q(u) be the first derivative of 7*u**5/40 + 7*u**3 + 18. Let h(v) be the third derivative of q(v). Calculate y(h(g)). -42*g Let a(g) = -11*g**2 + 34*g. Let y(n) = -14*n - 6. Let j(o) = 9*o + 4. Let c(u) = 3*j(u) + 2*y(u). Calculate a(c(l)). -11*l**2 - 34*l Let a(y) = 16 - 9*y - 10*y + 18*y + 3. Let j(l) = 3*l**2. Give a(j(r)). -3*r**2 + 19 Let g(s) = -2*s. Suppose -6 + 2 = -2*d. Suppose 0 = -12*y + 11*y + d. Let i(f) = y*f + 5*f - 2*f. Give g(i(r)). -10*r Let f(m) = -4*m**2. Let n(d) be the second derivative of 13*d**3/3 - 174*d. Determine n(f(i)). -104*i**2 Let m(c) = 25*c**2 + 47. Let d(h) = h**2 - 3. Give m(d(v)). 25*v**4 - 150*v**2 + 272 Let d(x) = -2*x**2. Let s(r) = -23851*r. What is d(s(q))? -1137740402*q**2 Let r(s) = 2*s**2 - 2*s - 33. Let h(d) = -2*d. Calculate r(h(z)). 8*z**2 + 4*z - 33 Let i(u) = 5*u**2. Let q be (-66)/55 - (-30)/25. Let z(m) be the first derivative of 2 + q*m + 0*m**2 - 2/3*m**3. Give i(z(x)). 20*x**4 Let w(q) = -4*q + 1. Let r(j) = 1. Let l(a) = -3*r(a) - w(a). Let v(b) = 3*b - 5. Let h(y) = -5*l(y) + 4*v(y). Let k(o) = 2*o. Calculate k(h(x)). -16*x Let j(d) = d. Let o(k) = 9797*k**2. Give o(j(t)). 9797*t**2 Let v(x) be the second derivative of x**5/60 - 14*x**3/3 - 15*x. Let a(j) be the second derivative of v(j). Let m(p) = -2*p**2. Calculate m(a(k)). -8*k**2 Let k(m) be the first derivative of -2*m**3/3 - 133. Let p(d) = 209*d**2. Give k(p(n)). -87362*n**4 Let i(j) = 6*j. Let c(l) = 106*l - 65*l - 74*l. Determine c(i(s)). -198*s Let f(a) = 13*a**2. Let q(d) = 4*d**2. Let p(g) = -2*f(g) + 7*q(g). Let z(y) be the third derivative of y**5/2 - 134*y**2. Give p(z(o)). 1800*o**4 Let l(r) = -5*r - 20. Let q(p) be the first derivative of -p**2/2 + 381. Calculate l(q(v)). 5*v - 20 Suppose 0 = 8*z - 19 - 61. Let g(i) = 6*i. Let s(u) = u. Let v(y) = z*s(y) - 5*g(y). Let c(p) = -2*p. Calculate v(c(r)). 40*r Let v(h) = -4*h + 7*h + 3*h + 4*h. Let z be ((-15)/5)/(2/4). Let t(y) = -y**2 + 3*y. Let n(m) = 4*m**2 - 11*m. Let l(p) = z*n(p) - 22*t(p). What is v(l(u))? -20*u**2 Let g(q) = -300*q**2. Let y(w) = -4 + 5 - 2*w + 1 - 2. Calculate y(g(c)). 600*c**2 Let f(h) = 303389*h. Let u(g) = 10*g**2. Give f(u(c)). 3033890*c**2 Suppose 5*v = -2*o + 860, -v = -2*o + o - 179. Let x(q) = -v - 2*q + 174 + q. Let g(d) = -24*d**2 + d. What is g(x(l))? -24*l**2 - l Let h(z) = 7*z**2. Suppose 0 = -4*g - o + 4, -3*o = 3*g - 5*o - 14. Let k(d) = -466 + 466 + 4*d**g. Give k(h(j)). 196*j**4 Let g(k) = 15*k**2. Let b(d) = 95*d + 25. What is b(g(c))? 1425*c**2 + 25 Let s(n) = -2*n**2. Let m(l) be the third derivative of 295*l**4/24 + l**2 - 23. Give m(s(a)). -590*a**2 Let d(z) = -12292*z. Let w(a) = -a**2. What is d(w(n))? 12292*n**2 Let d(h) = -7*h**2 - 15*h - 5. Let k(p) = -p**2 - 3*p - 1. Let z(f) = -d(f) + 5*k(f). Let i(c) = 10*c**2. What is z(i(j))? 200*j**4 Let z(y) = -2*y**2. Let o(x) = -1 - 2 + 9*x + 13*x**2 - 6. Let b(q) = 99*q - 54*q - 47*q + 2 - 3*q**2. Let m(w) = 18*b(w) + 4*o(w). Determine m(z(h)). -8*h**4 Suppose 0 = -6*u + 4*u + 4. Let j(z) = 2*z - z - u*z. Let x(v) = 3*v. Let p(s) = -12*s. Let w(r) = 2*p(r) + 9*x(r). What is j(w(m))? -3*m Let y(i) = -4*i**2. Let l(p) = 3*p - 1. Let g(s) = 43*s - 6. Let b(j) = -g(j) + 6*l(j). What is b(y(f))? 100*f**2 Let v(i) be the first derivative of 0*i + 31 - 1/2*i**2. Let k(c) = 5*c. Determine v(k(t)). -5*t Let j(y) = -3*y + 3*y - 3*y + 4*y. Let c(u) be the third derivative of 0*u + 4*u**2 + 1/8*u**4 + 0*u**3 + 0. Give c(j(z)). 3*z Let y(w) = 2*w. Let n(o) = 5*o**2 + 11*o. Let a = -34 - -39. Let s(r) = -a*r**2 + 21*r - r**2 - 27*r + 3*r**2. Let b(p) = -6*n(p) - 11*s(p). What is y(b(d))? 6*d**2 Let u(v) = -11*v. Let o(h) = 4*h. Let n(w) = -8*o(w) - 3*u(w). Suppose 0 = 5*b + 3*r - 6, -b - 2*r = 2*b - 3. Let m(k) = -k**2 + 5*k**2 - b*k**2. Give m(n(f)). f**2 Let c(m) = 4*m**2. Let l(r) = -36*r**2 + 3*r + 23*r**2 - 3*r + 44*r**2. Calculate c(l(u)). 3844*u**4 Let d(f) = 19305*f. Let g(i) = -i. Determine g(d(j)). -19305*j Let x(h) = 8*h**2 - 78*h - 18. Let r(t) = 2*t**2 -
{ "pile_set_name": "DM Mathematics" }
is the square root of 80949883 to the nearest integer? 8997 What is 211068625 to the power of 1/2, to the nearest integer? 14528 What is 415965439 to the power of 1/2, to the nearest integer? 20395 What is the ninth root of 6136999 to the nearest integer? 6 What is the ninth root of 2600539218 to the nearest integer? 11 What is 439453592 to the power of 1/4, to the nearest integer? 145 What is 886918944 to the power of 1/3, to the nearest integer? 961 What is 1116229363 to the power of 1/2, to the nearest integer? 33410 What is the cube root of 566393728 to the nearest integer? 827 What is the eighth root of 155483319 to the nearest integer? 11 What is the cube root of 7016634175 to the nearest integer? 1914 What is the third root of 52098961 to the nearest integer? 373 What is the cube root of 29262151 to the nearest integer? 308 What is the third root of 100070204 to the nearest integer? 464 What is 704144929 to the power of 1/2, to the nearest integer? 26536 What is the ninth root of 78973928 to the nearest integer? 8 What is the eighth root of 335778687 to the nearest integer? 12 What is the third root of 1571791948 to the nearest integer? 1163 What is the ninth root of 604569245 to the nearest integer? 9 What is 55710487 to the power of 1/4, to the nearest integer? 86 What is 3898986079 to the power of 1/3, to the nearest integer? 1574 What is the square root of 43109941 to the nearest integer? 6566 What is the ninth root of 55293242 to the nearest integer? 7 What is 596941284 to the power of 1/3, to the nearest integer? 842 What is the square root of 3218742370 to the nearest integer? 56734 What is the third root of 171778178 to the nearest integer? 556 What is the third root of 75069194 to the nearest integer? 422 What is 849587 to the power of 1/2, to the nearest integer? 922 What is the tenth root of 744087204 to the nearest integer? 8 What is 351936381 to the power of 1/5, to the nearest integer? 51 What is 64526355 to the power of 1/3, to the nearest integer? 401 What is the square root of 214417000 to the nearest integer? 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25712 What is the third root of 256620176 to the nearest integer? 635 What is the third root of 3298464163 to the nearest integer? 1489 What is 6444703442 to the power of 1/9, to the nearest integer? 12 What is the tenth root of 10376199 to the nearest integer? 5 What is 1973695582 to the power of 1/3, to the nearest integer? 1254 What is 371849498 to the power of 1/2, to the nearest integer? 19283 What is the cube root of 152982711 to the nearest integer? 535 What is the eighth root of 8516695 to the nearest integer? 7 What is 15970953 to the power of 1/3, to the nearest integer? 252 What is the square root of 3147566472 to the nearest integer? 56103 What is 2133991954 to the power of 1/7, to the nearest integer? 22 What is the third root of 6108257490 to the nearest integer? 1828 What is 311236873 to the power of 1/4, to the nearest integer? 133 What is 3119926467 to the power of 1/2, to the nearest integer? 55856 What is 1280244 to the power of 1/6, to the nearest integer? 10 What is the square root of 101352771 to the nearest integer? 10067 What is 98556851 to the power of 1/2, to the nearest integer? 9928 What is the cube root of 977915111 to the nearest integer? 993 What is 1156552791 to the power of 1/4, to the nearest integer? 184 What is 117416810 to the power of 1/2, to the nearest integer? 10836 What is 1064807664 to the power of 1/2, to the nearest integer? 32631 What is 69864655 to the power of 1/2, to the nearest integer? 8359 What is 105242088 to the power of 1/2, to the nearest integer? 10259 What is 123584371 to the power of 1/3, to the nearest integer? 498 What is the square root of 54073515 to the nearest integer? 7353 What is the ninth root of 196809094 to the nearest integer? 8 What is the third root of 76980788 to the nearest integer? 425 What is the square root of 307768233 to the nearest integer? 17543 What is 2560904412 to the power of 1/4, to the nearest integer? 225 What is 690837802 to the power of 1/3, to the nearest integer? 884 What is the square root of 2439286815 to the nearest integer? 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{ "pile_set_name": "DM Mathematics" }
rob of picking 2 c when two letters picked without replacement from {w: 1, f: 6, e: 3, c: 2}? 1/66 Four letters picked without replacement from {n: 1, g: 5, q: 6, f: 2, m: 3, z: 3}. What is prob of picking 3 g and 1 z? 2/323 What is prob of picking 2 l when two letters picked without replacement from llflfff? 1/7 Three letters picked without replacement from {v: 5, r: 1, f: 3, u: 3, i: 6}. What is prob of picking 2 f and 1 i? 3/136 Four letters picked without replacement from haahchhhhcyhaa. What is prob of picking 4 a? 1/1001 Calculate prob of picking 1 u and 1 x when two letters picked without replacement from xxoxouooxxo. 1/11 Two letters picked without replacement from {u: 3, c: 7}. What is prob of picking 2 c? 7/15 Calculate prob of picking 2 o and 1 m when three letters picked without replacement from momo. 1/2 Calculate prob of picking 1 h and 2 q when three letters picked without replacement from {q: 2, e: 4, h: 3}. 1/28 Two letters picked without replacement from {o: 3, r: 1, m: 1}. What is prob of picking 1 m and 1 r? 1/10 Two letters picked without replacement from {u: 3, i: 11, h: 1}. Give prob of picking 1 i and 1 h. 11/105 Four letters picked without replacement from {u: 3, k: 4, f: 2}. Give prob of picking 2 k, 1 u, and 1 f. 2/7 Two letters picked without replacement from {w: 1, z: 2, t: 1, c: 2, l: 2}. What is prob of picking 1 z and 1 l? 1/7 What is prob of picking 1 m, 1 e, and 1 k when three letters picked without replacement from qkkexqkqkkkxqxmmxqqq? 1/95 Two letters picked without replacement from {r: 2, w: 3, c: 1, t: 1}. What is prob of picking 2 r? 1/21 What is prob of picking 1 f and 1 o when two letters picked without replacement from {b: 2, w: 4, o: 2, h: 2, f: 1, e: 1}? 1/33 Calculate prob of picking 3 z and 1 n when four letters picked without replacement from {z: 6, c: 7, n: 4}. 4/119 What is prob of picking 2 g and 2 b when four letters picked without replacement from bbbggb? 2/5 Two letters picked without replacement from {g: 11, y: 2}. Give prob of picking 2 y. 1/78 Three letters picked without replacement from yghgcxs. Give prob of picking 1 g, 1 y, and 1 c. 2/35 Four letters picked without replacement from jpjjpjpjpjpp. Give prob of picking 1 p and 3 j. 8/33 Two letters picked without replacement from {b: 4, c: 1, v: 6, a: 6, t: 1}. Give prob of picking 1 c and 1 v. 2/51 Two letters picked without replacement from pzzzzpppzzzp. Give prob of picking 1 p and 1 z. 35/66 Three letters picked without replacement from nsnsxjsnxjxxksss. What is prob of picking 2 k and 1 x? 0 What is prob of picking 1 z and 2 a when three letters picked without replacement from azaza? 3/5 What is prob of picking 1 q and 1 i when two letters picked without replacement from qiiiiiiqii? 16/45 Calculate prob of picking 4 v when four letters picked without replacement from tjtvvttvttvtttvtvj. 1/204 Calculate prob of picking 3 c and 1 f when four letters picked without replacement from fbmcyysbbycfcbc. 8/1365 Four letters picked without replacement from {i: 7, d: 7}. Give prob of picking 4 i. 5/143 Calculate prob of picking 2 h and 2 d when four letters picked without replacement from {x: 3, h: 9, d: 7}. 63/323 Four letters picked without replacement from {f: 2, a: 6, l: 3, s: 2, j: 3}. What is prob of picking 1 s, 1 f, and 2 l? 3/455 Two letters picked without replacement from qpqqokocqrqoockkqoqq. Give prob of picking 1 c and 1 r. 1/95 Two letters picked without replacement from zydvwwawwww. Give prob of picking 1 d and 1 y. 1/55 Four letters picked without replacement from xxpaxnkrxxxkxpxp. What is prob of picking 2 p, 1 x, and 1 a? 6/455 Four letters picked without replacement from xjxxjjxjxjpjxjxxpxj. Give prob of picking 1 j and 3 x. 56/323 Four letters picked without replacement from akkaqqkqqaa. What is prob of picking 2 q, 1 k, and 1 a? 12/55 Calculate prob of picking 1 v, 1 i, and 2 h when four letters picked without replacement from viichitvthhvcchtvv. 1/34 Two letters picked without replacement from {k: 2, q: 2, s: 4, m: 5}. Give prob of picking 2 q. 1/78 Two letters picked without replacement from jbjagax. What is prob of picking 1 x and 1 a? 2/21 What is prob of picking 3 g when three letters picked without replacement from {u: 2, g: 4, a: 4}? 1/30 Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 9, a: 1, y: 9}. 9/19 Two letters picked without replacement from {p: 10, s: 2}. Give prob of picking 1 s and 1 p. 10/33 What is prob of picking 2 w when two letters picked without replacement from wwywwxyywwxy? 5/22 Two letters picked without replacement from {y: 1, o: 1, c: 1, q: 1, g: 1}. What is prob of picking 1 g and 1 y? 1/10 What is prob of picking 1 t and 1 b when two letters picked without replacement from ebmmmtemeeeebetmmm? 4/153 Four letters picked without replacement from bfrppkbbhhh. Give prob of picking 1 k, 1 f, and 2 p. 1/330 Two letters picked without replacement from rrhrnnr. What is prob of picking 1 h and 1 n? 2/21 Calculate prob of picking 3 q and 1 p when four letters picked without replacement from {q: 1, e: 8, p: 1, o: 6}. 0 Two letters picked without replacement from {u: 6, k: 1, t: 1, s: 11}. Give prob of picking 1 u and 1 k. 2/57 What is prob of picking 1 b, 1 p, and 2 a when four letters picked without replacement from {b: 5, z: 5, a: 2, p: 5, i: 1, k: 2}? 5/969 What is prob of picking 1 w, 2 i, and 1 e when four letters picked without replacement from {e: 3, v: 4, w: 1, i: 2}? 1/70 What is prob of picking 1 z and 2 i when three letters picked without replacement from iiiizziiiiiiiiiz? 117/280 Four letters picked without replacement from ppxxpxxppx. What is prob of picking 2 p and 2 x? 10/21 Four letters picked without replacement from pspfvkk. What is prob of picking 1 v, 1 f, 1 p, and 1 k? 4/35 What is prob of picking 1 k, 1 f, and 1 h when three letters picked without replacement from fkhhhhktxt? 1/15 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, g: 1}. 1/3 Calculate prob of picking 2 k, 1 u, and 1 v when four letters picked without replacement from vkvkvukvv. 5/42 Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {r: 1, x: 1, f: 2, d: 1}. 1/10 Calculate prob of picking 2 g and 2 d when four letters picked without replacement from {g: 9, d: 5}. 360/1001 Three letters picked without replacement from ncncclllcnnlnllnlcc. Give prob of picking 1 n and 2 c. 30/323 What is prob of picking 1 z, 1 k, and 1 e when three letters picked without replacement from klkdzzzdkzzilzzzezze? 1/19 Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {p: 1, b: 1, q: 1, d: 1, g: 1, r: 2}. 2/21 Calculate prob of picking 2 d and 2 u when four letters picked without replacement from {w: 8, z: 1, p: 1, u: 5, d: 2}. 1/238 Calculate prob of picking 1 l and 1 a when two letters picked without replacement from antnklnnkak. 2/55 What is prob of picking 2 e when two letters picked without replacement from {u: 3, n: 5, e: 4, s: 4, d: 3}? 2/57 Three letters picked without replacement from ddpcgghdpphgdcph. Give prob of picking 1 g, 1 d, and 1 c. 3/70 Calculate prob of picking 2 n and 1 f when three letters picked without replacement from fnfjn. 1/5 What is prob of picking 2 w, 1 n, and 1 p when four letters picked without replacement from nwppw? 2/5 Three letters picked without replacement from {p: 5, o: 1, r: 7}. What is prob of picking 2 p and 1 r? 35/143 What is prob of picking 4 x when four letters picked without replacement from {n: 4, x: 16}? 364/969 Four letters picked without replacement from {g: 5, r: 14}. What is prob of picking 4 g? 5/3876 Four letters picked without replacement from {p: 4, u: 1, y: 4, e: 5, w: 1}. What is prob of picking 4 p? 1/1365 Four letters picked without replacement from ibbbii. What is prob of picking 3 b and 1 i? 1/5 Four letters picked without replacement from uuuuuuemmumuugumagu. Give prob of picking 1 e, 1 g, and 2 m. 1/323 What is prob of picking 4 e when four letters picked without replacement from {e: 13, v: 5}? 143/612 Calculate prob of picking 2 o and 1 f when three letters picked without replacement from oooeooooxfee. 21/220 Two letter
{ "pile_set_name": "DM Mathematics" }
y**2 + 33*y - 290. Let g be a(8). Solve 24*i + g*i - 248 = 0 for i. 4 Suppose -2*v - 3*d = -0*d - 17, 2*v + d = 23. Let h = 4 - -10. Let s = h - v. Solve s = -3*a + 7 for a. 2 Suppose -310 = -5*j - 5. Suppose 0 = -j*y - 272 + 1797. Solve -20*x + y*x = 25 for x. 5 Suppose -2*t + 26 = -0*t. Suppose -719 - 737 = -t*m. Suppose -i - 108 = -m. Solve 0 = -i*w + 7 + 13 for w. 5 Suppose 3*n - 2*n - 7 = 0. Let w(z) = -z**2 - 58*z - 635. Let h be w(-43). Solve h*c = n*c for c. 0 Suppose -369 + 459 = 90*r. Solve 8*d + 31 = -r for d. -4 Suppose 0 = 5*k - 4*u - 228, -242 = -5*k - 4*u - 30. Solve 43*i + 44 = k for i. 0 Suppose -y - 9*n = -8, -4*y + 216 = -2*n + 70. Solve -y*h - 27 = -26*h for h. -3 Let m = 387 + -383. Suppose 64 = 4*x - 2*w, 0 = 4*x - 8*x - 4*w + 88. Suppose m*a = -5*a + x. Solve q + 6 - a = 0 for q. -4 Let a(o) = 5*o. Let m be a(1). Let y(u) be the third derivative of -u**4/6 - 11*u**3 + 3*u**2 - 57. Let l be y(-17). Solve -l = m*f + 3 for f. -1 Let b = -1090 - -2120. Let f be (b/7 - -6) + (-1)/7. Solve -k + 148 = f for k. -5 Let t = -8 + 18. Suppose -t = -5*v - 15. Let i be (2 - -4)/3 + v. Solve l - 1 = i for l. 2 Suppose 4*r - 39 = 2*a - 3*a, -3*a + 47 = -2*r. Suppose -a*v = -112 - 2. Solve v = 16*x - 10*x for x. 1 Let t(q) = q**3 - 10*q**2 - 19*q + 93. Let f be t(11). Suppose 4*w = 3*r - 20, 2*r + 3*w = f*r - 21. Solve -4*c + 28 = r for c. 5 Suppose 6*w - 192 + 72 = 0. Suppose 5*g = 8*q - 4*q + w, -3*g = 4*q - 12. Let p = 5 + -3. Solve q = -5*s - 13 - p for s. -3 Suppose -8*g + 9 - 49 = 0. Let t(r) = r**3 + 6*r**2 + 6*r + 8. Let n be t(g). Let c be (-2 + n + -1)/(-1). Solve 3*i - 4*i - 5 = c for i. -5 Let f = 6842 - 6842. Solve 6*s - 7*s + 1 = f for s. 1 Let r be ((-126)/36 - (-4 - -1))/((-7)/238). Solve -r*v = -13*v for v. 0 Let d(l) = 16*l**3 + 2*l**2 + l - 2. Let a be d(1). Suppose 300 = a*t - 5*t. Solve 2*o - 15 = -t for o. -5 Let d(p) = p - 19. Let u be d(12). Let r = u + 7. Suppose r = -3*q - 5*m + 89, -3*q - 3*m + 7*m + 53 = 0. Solve 0 = -3*s + 8 - q for s. -5 Suppose -2*v + 2*p - 7*p - 4 = 0, -2*p - 19 = -5*v. Let q(c) = -2*c**2 - 29*c + 13. Let g be q(-15). Let m = g + 8. Solve -t = -v*t - m for t. -3 Let x(b) = -7*b**2 - 79*b - 184. Let u be x(-8). Solve u = 17*j - 44 + 61 for j. -1 Suppose -40*j + 272 = -44*j. Let g = j + 72. Suppose 8 = g*d + 5*i - i, -8 = -5*d - 4*i. Solve -2*n - 6 - 4 = d for n. -5 Let v(h) = h**3 - 20*h**2 + 10*h + 38. Let q be v(20). Let z = q + -233. Suppose -3*c + 3 = -3. Solve z*s + c = 12 for s. 2 Let x = 5726 - 5713. Suppose 0 = -t - 3*t + 8. Solve t*o - 21 = -x for o. 4 Let p = 4920 - 4920. Solve p = 2*x - 22 + 26 for x. -2 Let d(x) = -x**3 + 3*x**2 + 5*x - 2. Let l be d(-4). Suppose 31 = -4*t + 2*t - 3*w, l = -5*t + 5*w. Let c(a) = a + 21. Let p be c(t). Solve 6 = -p*i + 14 for i. 2 Let i = 1 - 1. Suppose -27*z + 199 + 395 = 0. Suppose -z*g + 47*g = 20*g. Solve -h + g*h - 5 = i for h. -5 Suppose -56*a - 317 = -1549. Solve -2*n = -13*n - a for n. -2 Let s be 1*7 - (2/4)/(210/(-1260)). Solve -8*g = -s*g + 12 for g. 6 Suppose 17*x - 30 = 21. Suppose 5*p = 5*u + 25, 0*p - 4*p + x*u + 22 = 0. Solve 6*b = -p*b - 13 for b. -1 Let g(q) = q**3 - q**2 - 3*q + 5. Let r(o) = -7*o - 1. Let d be r(-1). Suppose -10*v = d - 26. Let t be g(v). Solve 0*n - 12 = -t*n for n. 4 Let z = -8 - -12. Suppose z*s - 20 = 3*d, -5*d = -s + 4*s + 14. Suppose -9*g = -34 - s. Solve -16 - g = -5*u for u. 4 Suppose 4*o + 4 - 52 = 0. Suppose i - o = 2. Suppose 0 = 137*y + 250 - 524. Solve -3*n - i = -y for n. -4 Let x = -1425 - -1438. Solve -18 - 34 = -x*m for m. 4 Suppose 435 = 4*p + 395. Suppose -14*z = -12*z - p. Solve -9*x + z*x = -8 for x. 2 Suppose -3*j + 510 = -3*v, -66*j + 67*j - 161 = 4*v. Solve -183*r + j*r = -20 for r. 2 Let d be ((-6)/(-15))/((-16)/(-120)). Let z(i) = 3*i**2 + 0*i**d + 4*i - i**3 - 8*i + 5*i - 3. Let t be z(3). Solve -4*b + 6*b + 10 = t for b. -5 Suppose -3*j - 128 = 28. Let x = 62 + j. Let r be (12/x)/((-30)/(-200)). Solve -3*v - v = -r for v. 2 Suppose -f - 5*b = -18, -3*f + 6*f + b = 26. Suppose 8 = f*x - 6*x. Solve -x*t - 6 = 14 for t. -5 Suppose -5*p - 1085 = -5*o, 6*o - 2*p + 202 = 7*o. Suppose -o*b + 2 = -211*b. Let f = 1 + 0. Solve -5 + f = b*w for w. -2 Let k(z) = -z + 7. Let l be (3*1)/((-12)/(-20)). Let x be k(l). Let q be 9/(-6)*3/((-36)/40). Solve -23 = q*u + x for u. -5 Suppose -3*q = -4*u - 274, 81*q + 4*u - 242 = 78*q. Solve q - 116 = -5*x for x. 6 Let p(y) = 2*y - 4 - 8*y + 0*y - 10 + y**2. Let z be p(9). Suppose z + 17 = 6*l. Solve l = -5*t - 0*t for t. -1 Let a = 2 + -2. Let z be (2 + a)*7/2. Suppose -268*c + 1457 - 147 = -30. Solve z = c*s + 2 for s. 1 Suppose 31*b = 3*u + 28*b, -3*u = -5*b. Solve u = 2*a + 18*a + 20 for a. -1 Let y be -2*-6*28/(-21). Let s be (y - -13)*(2 - 1)/(-1). Solve 2 = x - s for x. 5 Let k be ((-56880)/(-156))/((-10)/(-65)). Solve 10*x + 2360 = k for x. 1 Let u = -540 - -535. Let a(z) = 33*z + 173. Let h be a(u). Solve 0 = 3*g - 5 + h for g. -1 Let n(i) = -10*i + 143. Let f be n(15). Let p(g) = g**3 + 6*g**2 - 9*g - 14. Let u be p(f). Solve q - 3*q + 4 = u for q. 2 Let b be (-1708)/(-42) - (8/(-3))/(-4). Let w be (b/(-35))/4 - (-2)/7. Solve -3*l = -w + 6 for l. -2 Let z(g) be the second derivative of -g**4/12 - 7*g**3/6 - 2*g**2 + 203*g. Let f be z(-6). Let y(b) = 5*b - 5. Let k be y(5). Solve f*o + k = 6*o for o. 5 Let t be ((-3)/(-1))/(-3)*(0 - 0). Suppose -r + 8 = g - t, 3*g - 3*r + 6 = 0. Solve 0 = -g*x - 15 + 3 for x. -4 Suppose -3*m - 5*c = -4*m + 25, -2*m + c + 23 = 0. Let v(u) = 2 - u**2 - 5*u + 7*u + 8*u. Let w be v(m). Solve 4*o - w = -18 for o. -4 Let m be (-20)/(-8)*(-16)/(-10). Let v(z) = 3*z + 36. Let r(u) = -u**2 + 9*u - 32. Let t be r(4). Let b be v(t). Solve 3*k - k - m = b for k. 2 Let j = 285 + -351. Let m be 0*(-8 + j/(-8)). Solve 5*p - 5 + 0 = m for p. 1 Let b be 280 - (-44*(-8)/(-32) + 2). Solve 278*f = b*f - 11 for f. 1 Suppose 259*j - 263*j = -20. Suppose -4*a + 2*a = -9*a. Let d(c) = -2*c**3 - 2*c**2 + 2*c. Let v be d(-2). Solve a = j*g - g + v for g. -1 Let b be (-24)/(-10) - (-4)/(-10). Suppose -171 = -54*s - 8*s + 139. Solve -s = -b*u - 7 for u. -1 Let n(y) = -58*y - 348. Let f be n(-6). Solve 67*h - 14*h + 53 = f for h. -1 Let j be 1*6*-1*-1. Let k be 23/(69/6)*34/4. Let n(c) = -c**3 + 17*c**2 + 4*c - 58. Let v be n(k). Solve l - j*l + v = 0 for l. 2 Let b be 19*((-10)/(-6) + 13/39). Suppose b = 12*o - 34. Solve 4*l - o = 7*l for l. -2 Let h = 65 - 62. Suppose -80 + 290 = -h*k + 3*z, z - 1 = 0. Let g = 74 + k. Solve 0 = -g*a - 0*a + 10 for a. 2 Let a(c) = -c**3 - 15*c**2 - 17*c - 74. Let k be a(-15). Let i = 215 - k. Solve -i*b - 5 = -33*b for b. -5 Let b = -54 - -59. Let a be -2 + b*1*(-84)/(-60). Suppose -2*l + 21 = -5*g, 0 = -3*l + a*g + 30 - 6. Solve -3 - 6 = -l*z for z. 3 Let g = -10912 - -11324. Solve g = -16*s + 428 for s. 1 Let v(t) = t**2 + 11*t + 35. Suppose -3*x - 3*n - 21 = 0, -8*x - 35 = -3*x - 2*n. Let o be v(x). Solve 3 = -10*p - o for p. -1 Suppose -x - 4*x + 1 = 3*f, -9 = 5*x - 2*f. Let b be (-1 - x)/((-50)/(-10)). Suppose -2*t + 1 = -1, 5*p - 23 = -3*t. Solve b = l - 5*l + p for l. 1 Let q(b) = -9*b + 28. Let h = 203 + -200. Let t be q(h). Solve 19 = 4*c - t for c. 5 Let t be (252/441)/(8/4340). Solve 0 = -43*s - t + 9 for s. -7 Let q = 10 + -7. Let h be (-88)/(-2) + 6*(-4)/8. Suppose 40 = 5*c - 4*b - b, 4*c = -5*b + h. Solve -3*l + q = -c for l. 4 Let r(i) = 6*i**2 + 158*i - 28. Let y be r(-25). Let f = y - -244. Solve -f = 21*p - 5*p for p. -1 Suppose -10*h + 12*h - 4*y = 812, 5*y + 2035 = 5*h. Suppose -403*v = -h*v. Solve -3*m + m - 4 = v for m. -2 Let y(k) = 3*k**2 + 16*k - 5. Let l be (-16)/(-24) - (-5)/(-3)*4. Let j be y(l). Suppose 0 = -f - 0*f - 4*x - 2, -5*x = 5. Solve -f*z = -j*z - 5 for z. -1 Let y be (-10 - -3) + (26 - 14). Solve -7*b = y*b + 24 for b. -2 Let m(q) = 51*q - 766. Let z(g) = -17*g + 254. Let b(o) = -6*m(o) - 17*z(o). Let a be b(16). Solve 0 = 7*j + 6 - a for j. 0 Suppose 5*y + 14 = 2*c, 5*c = -589*y + 593*y + 35. Solve -58*i - 7*i - 260 = y for i. -4 Suppose 0 = 5*z - 5*s + 50, -2*z + 3 = 4*s + 11. Let j(m) = -m**3 - 8*m**2 + m + 25. Let u be j(z). Solve -u = 2*g - 7 for g. -5 Let n(y) be the second derivative of -y**4/12 - 5*y**3/3 - 3*y**2/2 + 36*y. Let c be n(-4). Let r be (-6)/c -
{ "pile_set_name": "DM Mathematics" }
2*h + 6 to the form d + o*h and give o. 3 Rearrange (-55 - 89*g + 55)*(-2*g - 7*g + 3*g) to the form w*g + l + o*g**2 and give o. 534 Express (-4 + 4 - 2)*(0*x**2 - 7*x**2 + 3*x**2) + (5 - x - 5)*(-6*x - 2*x + x) + 0*x**2 - 4*x**2 + 5*x**2 as y*x + k + b*x**2 and give b. 16 Rearrange -37*b + 399*b + 579*b + 763*b - 196*b to the form a*b + q and give q. 0 Express -7*j**3 + 7 + 2*j**3 - 5*j**3 + 7*j**3 as h + o*j + l*j**2 + u*j**3 and give h. 7 Express -2*f + 7 - 4 + 13 - 13 + 74*f**2 as u*f + c*f**2 + i and give u. -2 Express 2*f**2 - 3*f + 2*f**4 + 1 + 14*f**4 - 2*f**4 as q*f**3 + u + p*f + r*f**2 + g*f**4 and give g. 14 Rearrange (-2 + 0 + 1 + (1 - 1 + 1)*(-2 + 2 - 1) - 9 + 6 + 7 + (-1 - 1 + 4)*(-2 + 5 - 1))*(-v - 2*v - 4 + 5*v) to the form d*v + f and give f. -24 Express (-66 + 60 + 119)*(4*n - n**3 - 4*n) as y + b*n**3 + u*n**2 + p*n and give b. -113 Express -306*j - 6 + 306*j - 6 + 9*j**2 in the form y*j + s*j**2 + d and give d. -12 Express -11*k - 53*k - 62*k + 0 + 2 + 2 as c*k + o and give c. -126 Express -18*o**3 - 51*o**4 + 16*o**3 - 11*o**2 + 6*o**2 - 4*o**2 in the form x + i*o + q*o**2 + f*o**4 + h*o**3 and give h. -2 Rearrange 13*u + 2*u**2 + 20*u**3 - 13*u**2 - 18*u**3 + 7*u**2 + 2*u**2 to the form f*u**3 + q + t*u + y*u**2 and give t. 13 Express (-f - 14 + 15 + 34)*(-2 + 3 - 3)*(-3 - 1 + 2) in the form g*f + j and give g. -4 Rearrange (-12411 + 12411 + 451*c)*(-5 + 4 + 0)*(-c**2 + c**2 + c**2) to the form d*c + f*c**3 + b + n*c**2 and give f. -451 Express 977*n - 795*n + 1407*n as s + u*n and give u. 1589 Express t + 25*t**4 - 48*t**4 - 2*t**2 + 25*t**4 + 2*t - 8*t**3 - 2 as f*t + j*t**3 + g*t**4 + a + l*t**2 and give a. -2 Express -1 + 4*o**3 - 22*o**3 + 12*o**3 + 30*o - 45*o as y*o**3 + p*o + u*o**2 + f and give y. -6 Express 4*d + 67 + 3*d + 70 + 0*d - 8*d in the form s*d + t and give t. 137 Express -9*k**3 + 765*k**2 + 1 - 1497*k**2 + 745*k**2 in the form g*k**3 + y + a*k**2 + b*k and give y. 1 Rearrange -310*d + 2*d**3 + 284*d + 1 - 1 to w + q*d**2 + o*d**3 + l*d and give o. 2 Rearrange (1 - 1 + 2)*(1 + 1 + 2)*(0*c + 0*c - 2*c)*(-3 + 1 + 4)*(-1 + 8 + 0) to a*c + i and give a. -224 Rearrange ((0 + 5 + 2)*(2 - 1 - 2) + (-1 + 0 - 1)*(-1 - 1 - 2))*(-2 - 2 + 5)*(5*z - 3*z + 2*z) to the form a + h*z and give h. 4 Express 833*a**2 + a + a - 5*a + 3*a as x + l*a**2 + z*a and give l. 833 Express 6 + 1360*j**2 - 53*j**2 - 6 + 312*j**2 in the form i*j + s + k*j**2 and give k. 1619 Express (-3 - x**4 + 3)*(0 + 4 - 2) + 999*x**4 - 1080*x**4 - 1775*x**4 in the form t*x**3 + k*x**4 + h*x**2 + a*x + j and give k. -1858 Rearrange 16*x**2 + x + x**2 + 1 - 10*x**2 + (-3*x + 0*x + x)*(x - x + 2*x) to y*x**2 + w + o*x and give o. 1 Rearrange 2368 - 2368 + 717*r**2 to the form h*r**2 + t + j*r and give h. 717 Rearrange -6*a**2 - 52*a**2 + 76*a**2 to o*a + u*a**2 + k and give u. 18 Rearrange -69*f**3 + 28*f**3 - 45*f**3 - 5*f - 4*f**2 + 4*f**2 to m + r*f + z*f**2 + x*f**3 and give x. -86 Express (4 + 0 - 5)*(-3*x**3 - x**3 + 2*x**3) + (-17683 + 17683 + 62*x)*(3*x**2 - 3*x + 3*x) in the form m*x**3 + q + w*x**2 + p*x and give m. 188 Rearrange (-h + 3*h - 3*h)*(h**2 + 8*h**2 + 3*h**2) + 3*h**3 + h - h**3 + 0*h**3 to the form n*h + g + m*h**3 + w*h**2 and give m. -10 Express (208*w**2 + 12*w + 181*w**2 - 390*w**2 + 98)*(2 + 0 + 0)*(-4 + w + 4) as m*w**3 + b*w + t*w**2 + r and give m. -2 Rearrange 8*k**3 + 38*k**4 - 19 + 20 + 3*k - 9*k**4 - 6*k**3 to the form y + b*k**2 + s*k + a*k**3 + l*k**4 and give y. 1 Rearrange 151*f**2 - 77*f**2 + 20*f - 1 - 76*f**2 to the form r*f**2 + h + g*f and give g. 20 Rearrange -3 - 6*w**2 + 7*w**2 + 4*w**2 + 20*w**3 + 1 to j + f*w + c*w**2 + y*w**3 and give j. -2 Rearrange -w**3 - 11797*w**2 + 3*w + 11644*w**2 - w to b*w**2 + h + n*w**3 + u*w and give b. -153 Rearrange (-142*z - 6*z**2 + 22*z**2 + 157*z)*(-2*z**2 + z**2 + 2*z**2) to v + u*z**3 + f*z + x*z**2 + b*z**4 and give b. 16 Rearrange -5*f**3 - 188*f - 194*f - 189*f + 4*f**2 + 567*f to the form c*f**2 + t*f**3 + i*f + h and give i. -4 Express -b**3 + 28*b**2 - b**4 - 7*b - 26*b**2 - b**4 in the form j*b**2 + z + s*b + f*b**4 + g*b**3 and give s. -7 Rearrange -26 + 4*p - 9*p**2 + 6*p**2 + 7*p**2 + 3*p - 10*p to v + n*p**2 + s*p and give n. 4 Express ((5*r + 2 - 2)*(0 + 3 + 5) - 6*r + 5*r + 8*r)*(r**3 + 4 - 4) as d*r + a*r**3 + w*r**4 + l + c*r**2 and give w. 47 Express 2*j + 11 + 11724*j**3 - j**4 - 4*j - 11725*j**3 as o*j**3 + k + z*j**2 + m*j + v*j**4 and give z. 0 Express h + 2*h**4 - 4*h + 4*h - h**3 + h**2 - 2*h + 3*h - 1 as k*h**3 + a + l*h**4 + p*h + g*h**2 and give g. 1 Express 38*m**3 - 1 - 13*m**3 + 29 + 2*m - 15*m**3 in the form x*m**2 + s*m**3 + j*m + f and give j. 2 Express 8*b**2 + 3*b**3 - 17*b**2 + 11*b**2 + (-2*b**3 - 2*b**3 + 6*b**3)*(-6 + 5 - 15) as s*b**3 + h + d*b**2 + w*b and give d. 2 Express -22*b + 2 - 20*b + 85*b + 2*b**3 - 24*b - 23*b as x*b**2 + a + n*b**3 + v*b and give a. 2 Rearrange (-7*u**2 + 0*u**2 - u**2 + (-2*u + 2 - 2)*(-24*u - 26*u + 19*u))*(6*u - 3*u + u) to w*u**3 + r*u**2 + v + d*u and give w. 216 Express (n**2 - 4*n**3 - 3*n**3 + 6*n**3)*(1 - 5 - 2) - 2*n + 2*n + 13*n**3 as i*n**2 + d + s*n**3 + o*n and give o. 0 Express -145 + 2*t + 748 - 185 as a + b*t and give b. 2 Rearrange -315*x + 76*x + 672*x + 362*x to the form r + z*x and give z. 795 Express 375*z**4 + 216*z**4 - 413*z**4 + (5*z - z - 2*z)*(-z + z + 2*z**3) in the form n*z**3 + c*z**4 + d*z + u + t*z**2 and give c. 182 Rearrange (3*h + 3 - 3)*(2*h - 4*h + 5*h)*(-6*h - 3 + 6*h + 2*h + (-2 + 4 + 1)*(0 + h + 0) + h - 2 + 2) to the form x + v*h + r*h**3 + o*h**2 and give r. 54 Rearrange (-n**2 + 0 - 2 - 3*n + n)*(30*n + 38*n - 24*n) to c*n**2 + r + h*n**3 + d*n and give d. -88 Express -3*x**3 + 1264*x**2 + 1 - 16*x**4 + 2*x**3 - 1266*x**2 in the form i*x**2 + g*x + h*x**3 + s*x**4 + c and give h. -1 Rearrange (10 + 0 - 9)*(-5 + 2 + 2)*(-5*z + 0*z + 2*z) - 6*z + z + 0*z to the form s + j*z and give s. 0 Rearrange -140*p + 286*p - 140*p - 4 to the form n*p + g and give g. -4 Rearrange (-9*v - 46*v + 2*v + (4*v - 4*v + v)*(2 + 2 - 5))*(1 - 1 + 2*v) to the form h*v**2 + o*v + c and give h. -108 Express -235*c - 8*c - 145*c as n + v*c and give v. -388 Express 47*k - 2258*k**2 - 29*k + 2262*k**2 in the form s*k**2 + d + h*k and give s. 4 Express (14*s**3 + 260*s**2 - 260*s**2)*(0*s + 0*s + s) + 4 - 2*s**4 + 0 - 1 as v + i*s**2 + y*s**3 + x*s**4 + z*s and give v. 3 Express -617 - u**3 + 610 - 2*u**3 + 7*u**2 + u**3 - u**3 as s*u**3 + r + q*u + k*u**2 and give s. -3 Express 6*p**2 - 5*p**2 + 3 + 1 + p**2 - p**2 - 3*p as m*p + r*p**2 + g and give m. -3 Rearrange -10*y**3 + 9*y**3 - 2*y**4 + 3*y**2 + 3 - y**2 + 6*y - 3 to the form i*y**3 + b*y + h*y**4 + j + p*y**2 and give i. -1 Express 626*h**2 + 55*h - 1259*h**2 + 625*h**2 + h**3 as c + f*h + z*h**3 + n*h**2 and give n. -8 Express -46*h - 318*h + 86*h in the form j*h + q and give j. -278 Express r**4 - 18908*r + r**4 + 18907*r + 7*r**3 - 5 + 2*r**2 as q*r**4 + t*r**3 + v + u*r + l*r**2 and give u. -1 Express -326*b - 9*b**4 - 328*b + 655*b + 2*b**2 + 3*b**3 in the form a*b**2 + c*b**3 + y + i*b + w*b**4 and give c. 3 Rearrange (f**2 - f + f)*(-1 + 4 - 2) + (-2 + 2 - 3*f)*(f - f - 3*f) to i + a*f**2 + d*f and give a. 10 Rearrange (-4 + 0 + 1)*(1 + 3 - 6)*(5*l + 0*l - 3*l)*(-132 + 39*l + 132) to the form s*l**2 + q*l + c and give s. 468 Express (3*j + 3*j - 2*j)*(-j**2 + 3*j**2 - 8*j**2)*(-11*j - 5 + 5) as h + c*j**4 + z*j**3 + r*j**2 + i*j and give c. 264 Rearrange (2 + 3 - 1)*(128*z + 3 - 130*z - 5) to the form l + x*z and give l. -8 Express -220*o + 61*o - 177*o + 3 in the form r*o + y and give y. 3 Express -2*l + 7*l**2 - 7*l**2 + 282*l**3 + 23*l**3 as x*l + j*l**2 + r + o*l**3 and give o. 305 Rearrange (1 - s - 1)*(-123 + 123 - 15*s)*((3 - 1 - 3)*(-2 + 2 + 1) - 2 + 0 + 4 + 3 - 2 + 1) to p*s**2 + b + d*s and give p. 45 Rearrange 9*z**4 - 45*z**4 + 3*z - z + z - 2*z - 5*z**3 to the form f*z**2 + b + h*z + t*z**3 + g*z**4 and give t. -5 Rearrange (5*w**2 - 4*w**2 - 2*w**2)*(5*w + 4*w + 13*w)*(1 - 2 + 6) - 3*w**3 - 2*w**2 + 2*w**2 to the form h*w**2 + z + g*w**3 + a*w and give g. -113 Express 860 - 768*r**2 - 860 + 2191*r**2 as j*r + t*r**2 + l and give l. 0 Rearrange ((-1 - 2 + 5)*(2*q + 0 + 0) - 6*q + 2*q + 2*q)*(-1218*
{ "pile_set_name": "DM Mathematics" }
? 22 What is the greatest common factor of 39407 and 785? 157 What is the highest common divisor of 10503 and 58739? 389 What is the highest common divisor of 10845 and 765? 45 Calculate the greatest common divisor of 16653 and 117. 39 Calculate the highest common factor of 2640 and 70320. 240 What is the highest common divisor of 7 and 426? 1 What is the greatest common factor of 1548 and 3636768? 516 What is the highest common divisor of 132 and 1586211? 33 What is the highest common divisor of 72 and 118404? 36 Calculate the highest common factor of 5675 and 450368. 227 What is the highest common divisor of 30 and 149570? 10 What is the greatest common factor of 3696 and 16654? 22 What is the highest common factor of 35 and 381635? 5 Calculate the greatest common factor of 763 and 957565. 763 What is the highest common divisor of 710 and 279385? 355 Calculate the greatest common divisor of 16485 and 8610. 105 Calculate the highest common factor of 260 and 17888. 52 Calculate the greatest common divisor of 837240 and 60. 60 What is the greatest common factor of 8307 and 1872? 117 What is the highest common factor of 1259394 and 238? 34 Calculate the highest common divisor of 9064 and 159032. 824 Calculate the highest common factor of 3886080 and 1440. 480 What is the highest common divisor of 7764 and 1404? 12 What is the highest common factor of 387 and 90657? 9 What is the greatest common factor of 2696359 and 1357? 1357 Calculate the greatest common factor of 4 and 740612. 4 Calculate the greatest common divisor of 310292 and 36. 4 Calculate the highest common factor of 2938 and 7358. 26 What is the greatest common divisor of 678566 and 133? 133 What is the highest common factor of 705599 and 10907? 839 What is the greatest common divisor of 87246 and 13320? 666 What is the greatest common factor of 46 and 8119? 23 Calculate the greatest common divisor of 3636 and 168771. 303 Calculate the greatest common divisor of 153 and 578136. 51 Calculate the highest common factor of 3055 and 615935. 235 What is the highest common factor of 2400 and 79600? 400 Calculate the highest common factor of 2060 and 7060. 20 Calculate the greatest common divisor of 437 and 207. 23 What is the highest common factor of 26923 and 1277807? 2071 What is the greatest common divisor of 102 and 2718? 6 What is the greatest common factor of 9139 and 247? 247 What is the highest common divisor of 154161 and 315? 63 What is the highest common factor of 9 and 2440386? 9 Calculate the highest common divisor of 16994 and 464. 58 Calculate the highest common factor of 406020 and 10452. 804 What is the greatest common divisor of 581839 and 548? 137 Calculate the highest common divisor of 46 and 434631. 23 What is the highest common factor of 412 and 828? 4 What is the highest common divisor of 3768 and 9280? 8 What is the greatest common divisor of 617104 and 24? 8 What is the greatest common factor of 195 and 110? 5 Calculate the highest common divisor of 100 and 755. 5 Calculate the highest common factor of 391 and 20621. 17 What is the highest common factor of 20 and 9180? 20 Calculate the highest common factor of 63 and 152199. 9 What is the highest common factor of 6 and 424922? 2 What is the highest common factor of 1321626 and 3768? 942 What is the greatest common factor of 741072 and 96? 48 What is the greatest common factor of 777 and 8621? 37 What is the highest common divisor of 342 and 72960? 114 What is the highest common divisor of 613304 and 4? 4 Calculate the greatest common divisor of 12 and 923556. 12 Calculate the highest common divisor of 292 and 8708. 4 What is the highest common factor of 860 and 235210? 430 What is the greatest common divisor of 239485 and 227? 227 What is the highest common divisor of 137655 and 71415? 1035 What is the greatest common factor of 24 and 569368? 8 What is the highest common divisor of 116475 and 195? 15 Calculate the highest common divisor of 127 and 510667. 127 What is the greatest common divisor of 22456 and 168? 56 What is the highest common divisor of 3006 and 774? 18 What is the greatest common factor of 5138 and 392? 14 Calculate the highest common factor of 3168 and 5616. 144 What is the greatest common factor of 13670 and 25? 5 What is the greatest common divisor of 218624 and 48? 16 What is the highest common factor of 55 and 2965? 5 Calculate the highest common divisor of 21 and 4707. 3 What is the highest common factor of 260 and 370? 10 What is the greatest common factor of 33 and 57717? 33 What is the highest common factor of 306 and 2250? 18 Calculate the greatest common factor of 273 and 38248. 7 What is the highest common divisor of 7504 and 2170? 14 Calculate the highest common divisor of 600 and 1338. 6 What is the greatest common divisor of 2862 and 459? 27 Calculate the greatest common divisor of 3520 and 576. 64 What is the highest common divisor of 2024 and 6600? 88 What is the greatest common divisor of 173456 and 256? 16 What is the highest common divisor of 23363 and 85409? 383 What is the greatest common factor of 294090 and 60? 30 Calculate the highest common factor of 2048112 and 4. 4 Calculate the highest common divisor of 5580 and 234. 18 Calculate the greatest common divisor of 1021216 and 728. 56 Calculate the highest common divisor of 1691 and 89. 89 Calculate the greatest common divisor of 1449050 and 150. 50 Calculate the greatest common divisor of 571896 and 432. 72 Calculate the greatest common divisor of 6750 and 55050. 150 Calculate the greatest common factor of 4 and 132554. 2 What is the highest common divisor of 432 and 22248? 216 What is the highest common factor of 630800 and 200? 200 Calculate the greatest common factor of 9828 and 204. 12 What is the highest common factor of 271332 and 27? 9 Calculate the highest common divisor of 8938 and 41. 41 Calculate the highest common divisor of 117 and 60970. 13 What is the greatest common divisor of 50737 and 339? 113 What is the greatest common divisor of 215 and 92285? 5 Calculate the greatest common divisor of 1350 and 9040. 10 What is the greatest common factor of 226776 and 528? 264 What is the greatest common divisor of 31829 and 63? 7 What is the highest common divisor of 3520 and 2530? 110 What is the greatest common factor of 916 and 84730? 458 What is the greatest common divisor of 19 and 2533? 1 What is the greatest common divisor of 85220 and 40? 20 Calculate the highest common factor of 7209 and 11392. 89 Calculate the greatest common factor of 78621 and 3. 3 What is the highest common divisor of 22356 and 33258? 138 Calculate the highest common divisor of 12682 and 1462. 34 What is the greatest common divisor of 840 and 2541? 21 Calculate the greatest common divisor of 2021 and 611. 47 What is the highest common factor of 2639 and 441467? 377 What is the greatest common divisor of 32 and 20904? 8 What is the highest common divisor of 96717 and 309? 309 Calculate the highest common factor of 11815 and 28495. 695 What is the highest common divisor of 8 and 224184? 8 What is the highest common factor of 511597 and 2155? 431 What is the greatest common divisor of 3364 and 301919? 841 What is the greatest common factor of 1298 and 650? 2 Calculate the greatest common factor of 5397568 and 3264. 1088 What is the greatest common factor of 6890 and 3510? 130 What is the highest common divisor of 944 and 200? 8 What is the highest common factor of 92848 and 336? 112 What is the greatest common factor of 2019654 and 81? 81 What is the greatest common divisor of 50922 and 13662? 1242 What is the greatest common divisor of 252531 and 81? 27 Calculate the greatest common factor of 164 and 18225156. 164 What is the greatest common divisor of 2135 and 805? 35 What is the highest common factor of 609510 and 990? 330 What is the highest common factor of 111 and 164206? 37 What is the greatest common divisor of 3094 and 368550? 182 What is the highest common divisor of 10716 and 7473? 141 What is the greatest common factor of 132627 and 264? 33 Calculate the highest common divisor of 208 and 2714972. 52 What is the highest common divisor of 2130 and 891050? 710 Calculate the highest common divisor of 2 and 1153. 1 Calculate the hig
{ "pile_set_name": "DM Mathematics" }
85. Is 11 a factor of t? False Let i(h) = -h**2 + 9*h - 13. Let c be i(14). Let p = c + 269. Is p a multiple of 23? False Let v(y) = y**2 - 13*y - 4. Let a(h) = -1. Let j(i) = -4*a(i) - v(i). Does 19 divide j(10)? True Let u(k) = -151*k - 18. Is u(-1) a multiple of 16? False Let g = 33 + -27. Does 29 divide 3*(-4)/g + -1 + 128? False Let t = -6 - -5. Let r be ((-13)/(-2) - 5)/(3/4). Does 11 divide (-536)/(-16) + t/r? True Suppose -4*i = 3*z - 855, 3*i - 2*z + 37 = 674. Does 28 divide i? False Let s(g) = 9*g**3 + g**2 - g + 5. Let i = 13 + -17. Let c(x) = 5*x**3 + x**2 + 3. Let z(l) = i*s(l) + 7*c(l). Is z(3) a multiple of 3? False Let w(q) = q**2 + 11*q + 2. Let g be w(-10). Let u be 2/(-4) + (-188)/g. Suppose -80 = -5*r - 5*z, 5*r - 113 + u = -3*z. Is 10 a factor of r? False Suppose 0 = -3*c - 0*c + 3. Suppose -14*x + 3*x = -33. Is 3/(c/(38/x)) a multiple of 19? True Let v(b) = b**2 - 9*b - 1. Is 12 a factor of v(-15)? False Let y = -41 + 32. Is 12 a factor of -4*y*(-2)/(-3)? True Let i(z) be the second derivative of -z**7/2520 + z**6/72 + z**5/8 + 7*z**4/12 - 7*z. Let y(v) be the third derivative of i(v). Is y(11) a multiple of 3? False Does 7 divide 42/((-2)/(160/(-12)))? True Let u(x) = -x**3 - 12*x**2 - 15. Let o be u(-12). Let k = o + 15. Suppose y + 64 = i + 16, k = 3*i + 3*y - 162. Is i a multiple of 14? False Let l be 13 + (-1 - -10)/(-3). Suppose -t - 2 = -z - l, 12 = t - 3*z. Let x = t + 6. Is x a multiple of 3? True Is -5 + (-485)/(-95) - (-50781)/57 a multiple of 26? False Let d = 75 - 72. Suppose f - 435 = 3*r - 8*r, -5*f - 261 = -d*r. Does 10 divide r? False Does 21 divide (-5724)/(-265) - (-3)/(-5)? True Let p = 68 + -139. Let g = -34 - p. Is g a multiple of 19? False Suppose -3*r + 870 = 3*f, 4*r - f + 1151 = 8*r. Is r a multiple of 41? True Let z(a) = -2*a**3 - 28*a**2 - 26. Let b be z(-14). Let o = b + 176. Does 30 divide o? True Suppose -92*a + 97*a = 2385. Is 9 a factor of a? True Let n(b) = -b + 2. Let y(c) = -21*c + 50. Let j(v) = 6*n(v) - y(v). Is j(7) a multiple of 6? False Let c = 41 + -5. Suppose -4*f = 4*z - 48, -4*f + 0*f - c = -3*z. Is (-43)/(-2) + (-18)/z a multiple of 5? True Let j(k) be the third derivative of -k**5/60 - k**4/24 - k**3/6 - 11*k**2. Let f be j(-1). Is f - (3 + -9 + 2) a multiple of 2? False Let o(c) = -21*c + 7. Let z be o(13). Let a = z - -474. Does 12 divide 4/12 - a/(-6)? False Suppose 4*a - c - 20 = a, 0 = 4*a + 5*c + 5. Suppose 0 = -a*z + 539 - 44. Is z a multiple of 9? True Is 13 a factor of (-961)/(-2) + (-125)/(-50)? False Let g(n) = 126*n**2 + 13*n + 14. Let o be g(-4). Does 38 divide o/13 - 6/39? True Suppose -4*d - 279 + 87 = 0. Is 16 a factor of (1 - 46/6)*d/5? True Let o(r) = r**2 + 2*r - 1. Let b be o(2). Suppose 12 = -4*m + b*m. Suppose 5*x = -20, -x - 160 = -4*d + m*x. Is d a multiple of 24? False Let x(j) be the first derivative of j**3/3 + j**2/2 + 7*j - 3. Let y be (-8)/12 + 44/(-6). Is x(y) a multiple of 25? False Suppose 6*v + 0*v = 0. Suppose c + c - 128 = v. Is 25 a factor of c? False Let t(l) = -l**3 - 3*l**2 - l - 3. Suppose 3*x - 3 = -12. Let b be t(x). Suppose b = -4*p + 6 + 70. Does 4 divide p? False Let b be 8/20 - 954/(-15). Suppose -3*y + b = 2*y - 3*a, 4*y - 5*a = 59. Suppose -8*w - 42 = -y*w. Does 7 divide w? True Suppose 5*s - 19 = -i, s - 2 = -0*s. Let h = i + -3. Is 115/9 - h/(-27) a multiple of 4? False Suppose -2*k + 2*y = -192, -4*k + 3*y = 4*y - 369. Suppose -k*v + 845 = -88*v. Does 13 divide v? True Suppose 33 = -3*v + 3*q, -3*v + 4*q - 34 = 4. Let y = -715 - -742. Let d = y - v. Is 19 a factor of d? False Let z(h) be the second derivative of h**4/12 - h**3 - 3*h**2/2 - 7*h. Is 15 a factor of z(-3)? False Let f(d) = -61*d + d**3 - 54*d + 3 + 12*d**2 + 129*d. Suppose 2*a + 5*l = a - 25, -l = a + 13. Does 13 divide f(a)? False Let t(w) = -w**2 + 2. Let m be t(0). Let k be 103*2/(-4)*m. Let q = k - -175. Is q a multiple of 20? False Is (4/10)/(-2)*-655 a multiple of 6? False Let p be 4/(-6)*3 - 2. Let h(m) = 2*m**2 + 4*m - 2. Let w be h(p). Does 17 divide (-8)/28 + 242/w? True Let i(u) = -4*u**2 + 14*u - 6. Let g be i(-7). Let b = -186 - g. Does 30 divide b? False Let b be 3 - 1/((-4)/(-12)). Suppose 5*q - q - 20 = b. Suppose -q*x + 245 + 65 = 0. Does 13 divide x? False Suppose -w = 3*o - 132 + 40, 2*o = 5*w - 528. Let c = w - 20. Does 42 divide c? True Let h be 5 + (-1955)/(-30) - 1/6. Suppose y - h - 83 = 0. Is y a multiple of 35? False Suppose -515*d + 516*d = 892. Does 45 divide d? False Let z = -2390 - -4334. Is z a multiple of 72? True Does 53 divide 4 - (-108 - (-36)/6)? True Suppose 0 = 243*l - 230*l - 11349. Is 38 a factor of l? False Suppose -3*j - 5*l + 58 = -9*l, 2*j - l = 32. Does 10 divide (45/35 - 4/j)*30? True Let b(z) = 49*z**2 - 20*z + 81. Is 23 a factor of b(6)? True Let j(t) = t - 4. Let l be j(6). Let u(d) = -3 - 17*d - 1 + l. Does 9 divide u(-1)? False Suppose 3*y - 9 = 75. Let s = 9 + y. Is 27 a factor of s? False Does 21 divide (3220/16)/((-9)/(-108))? True Let h(c) = -c**2 - 15*c - 2. Let f be ((-4)/4)/((-5)/(-70)). Is 4 a factor of h(f)? True Suppose 3*a - 3140 + 485 = -5*d, 0 = -3*a + 15. Is 47 a factor of d? False Let f(p) be the third derivative of 7*p**2 - 1/24*p**4 - 2/3*p**3 + 0 + 1/60*p**5 + 0*p. Is 22 a factor of f(6)? False Suppose -12*y = -7*y + 20, -82 = -3*v + 4*y. Is v a multiple of 11? True Suppose 0 = n + 4*p + 17, 24 = -n - n - 3*p. Let z be (-330)/(-8) + n/(-12). Is 20 a factor of (-4)/8*0 + z? False Let y(f) = -26*f**2 - 171*f + 1. Is y(-5) a multiple of 4? False Let l be (4 - 28819/(-35)) + 6/10. Suppose l = 7*f - 3*f. Does 53 divide f? False Suppose h = -5*j + 1, 5 = j + 4*h + 1. Does 7 divide 56 - (j/(-3))/(-3)? True Suppose 0 = -35*j + 19*j + 18496. Does 17 divide j? True Suppose 0 = 7*k - 2*k - 70. Let z = 249 - 221. Let l = z + k. Is 21 a factor of l? True Suppose p - 198 = 16*x - 17*x, 8 = -4*x. Is 25 a factor of p? True Suppose h - 51 = -45. Suppose 0 = -h*i + 865 + 59. Is 14 a factor of i? True Suppose 4*x = q + 4648, 5*x + 5*q - 5801 = 4*q. Is 31 a factor of x? False Suppose 6*c - 10*c + 12 = 0. Suppose -2*u - 2*i = -452, 556 + 369 = 4*u - c*i. Is 13 a factor of u? False Let b = 13 - 22. Let i = 31 - b. Suppose -3*c = -23 - i. Is 6 a factor of c? False Let o = -488 + 2434. Is 41 a factor of o? False Let s(o) = 33*o - 9. Let z be s(11). Suppose -4*g + 184 + z = -3*f, 4*f + 672 = 5*g. Is g a multiple of 17? True Let x(s) = -s - 4. Let j be x(-7). Let m = -15 - -22. Suppose -j*i + 68 = 2*r, 2*i + 101 = 3*r + m*i. Does 15 divide r? False Let u = 1151 + -463. Does 14 divide u/7 - 28/98? True Let m = -155 + 488. Is 37 a factor of m? True Let g = -317 + 897. Suppose g = 5*f + 5*j, -f - 5*j + 100 = -12. Does 22 divide f? False Let p(o) = -47*o + 3. Let s = 112 + -115. Is p(s) a multiple of 9? True Suppose 9*m + 420 = 15*m. Does 10 divide m? True Suppose 14 = c + 9. Suppose -c*m + 9 = -3*b, -2*b - 2*b + 23 = 5*m. Suppose b*x - 5 = 7. Is 2 a factor of x? True Suppose 15 + 20 = 5*p. Suppose -p*x = -5*x. Is 14 a factor of 14 + x*3/(-12)? True Suppose -2*j = 3*j - 10. Let k(x) = 0*x**j + 4*x**3 + 5 - 3*x**3 - 7*x**2 + x**2. Is 5 a factor of k(6)? True Let w = -426 + 1046. Is 21 a factor of w? False Let v(c) = c. Let t(g) = 22*g + 17. Let i(f) = -t(f) + 6*v(f). Is i(-7) a multiple of 19? True Let u(c) = 7*c**2 + 2. Does 57 divide u(4)? True Let f = 382 - -8. Is 13 a factor of f? True Let x(a) = a - 3. Let c be 4 + -2 + 3*2. Let z be x(c). Suppose -l + 0*l + 27 = 4*o, -3*l + 39 = z*o. Does 4 divide o? False Suppose -5*w + 30 + 80 = 0. Let v be ((-4)/8)/((-2)/108 - 0). Let m = v - w. Is 5 a factor of m? True Let w be 134110/170 - (-6)/51. Suppose 3*q - w = -u, u - 5*u - 1052 = -4*q. Is q a multiple of 17? False Let z(m) = 74*m**2 - 2*m - 3. Is 12 a factor of z(-1)? False Suppose -56*r - 1674 = -65*r. Is 12 a factor of r? False Let a = -94 + 230. Does 4 divide a? True Is 11 a factor of (3 - (-743)/(-4))/((-9)/36)? False Suppose 0 = 6*o + 36 - 54. Let z(j) = 15*j + 4. Let w be z(3). Suppose f - o*n - 111 = -2*f, -w = -f - 3*n. Is f a multiple of 8? True Let d be 2/(-8) - 1131/52. Let v = d - -16. Is 4/v + (-838)/(-6) a multiple of 30? False Let y = -7 - -10. Suppose -y*t = t. Suppose 3*b - 5*b + 54 = t. Is b a multipl
{ "pile_set_name": "DM Mathematics" }
146. 4 Calculate -107 divided by 1. -107 What is -10528 divided by 1? -10528 What is 72 divided by -18? -4 What is -4 divided by -3968? 1/992 -7784 divided by 973 -8 What is -19 divided by -121? 19/121 0 divided by -34 0 Divide 1189 by 1189. 1 What is -1447 divided by 1? -1447 Divide 2434 by 1217. 2 Divide -91 by -7. 13 What is 9624 divided by 3208? 3 What is -5 divided by 762? -5/762 What is -11 divided by 7? -11/7 Divide -468 by -234. 2 Calculate 10 divided by 14. 5/7 Divide 1320 by 5. 264 Calculate 312 divided by 12. 26 Calculate -1 divided by 58. -1/58 407 divided by 5 407/5 Calculate -2 divided by -1106. 1/553 Calculate -461 divided by -18. 461/18 318 divided by 6 53 -90 divided by 15 -6 Calculate -2 divided by -44. 1/22 Divide -9984 by -256. 39 11826 divided by -3 -3942 Divide -45 by 5. -9 Calculate -1818 divided by -202. 9 Calculate 1254 divided by 5. 1254/5 11 divided by 2 11/2 -24 divided by 1 -24 What is 5555 divided by 11? 505 Calculate 5 divided by 317. 5/317 What is -396 divided by -6? 66 Divide -495 by -9. 55 What is -1088 divided by 6? -544/3 Calculate -733 divided by 1. -733 206 divided by 103 2 What is -23270 divided by -1? 23270 Calculate 288 divided by 96. 3 5 divided by 40 1/8 Divide 15 by 329. 15/329 4 divided by 2436 1/609 Calculate 2160 divided by -240. -9 -94 divided by 47 -2 Divide 352 by -32. -11 What is 6 divided by -1455? -2/485 What is -50 divided by 2? -25 What is -67 divided by 3? -67/3 What is -5 divided by -5? 1 What is 293 divided by 3? 293/3 What is 372 divided by 62? 6 1218 divided by 2 609 Divide 1 by -9. -1/9 What is 124 divided by -16? -31/4 Calculate -892 divided by -446. 2 Divide -280 by -56. 5 -4 divided by -789 4/789 Calculate 3 divided by -2173. -3/2173 What is -4 divided by 1818? -2/909 What is 136 divided by -2? -68 3 divided by 14 3/14 -2 divided by -60 1/30 -2222 divided by -22 101 What is -191 divided by 3? -191/3 What is -1615 divided by -19? 85 Divide -142 by -4. 71/2 -14836 divided by 1 -14836 Divide 11 by 533. 11/533 Calculate 40 divided by -551. -40/551 What is -1060 divided by 265? -4 Divide -15165 by 3033. -5 Calculate 0 divided by 62. 0 330 divided by 110 3 What is -1796 divided by -4? 449 Calculate -3 divided by 1075. -3/1075 Divide 31 by -154. -31/154 Calculate -2180 divided by -1. 2180 30 divided by 5 6 Divide -6 by 1. -6 1 divided by 389 1/389 Divide 1 by -602. -1/602 Calculate -148 divided by -28. 37/7 What is -1 divided by 353? -1/353 Calculate 7 divided by -341. -7/341 What is 5 divided by -4355? -1/871 Divide 25 by 30. 5/6 Divide -750 by -6. 125 1 divided by -419 -1/419 Divide -636 by 3. -212 What is 2007 divided by -223? -9 What is -3706 divided by -218? 17 What is 406 divided by 14? 29 Divide 5 by 1447. 5/1447 48 divided by 24 2 What is -2 divided by 302? -1/151 What is 19 divided by -19? -1 Divide 7 by 51. 7/51 1 divided by 174 1/174 -18 divided by 29 -18/29 13105 divided by 2621 5 What is 198 divided by 18? 11 What is -334 divided by -1? 334 What is 4 divided by 3066? 2/1533 Divide -23 by -77. 23/77 Divide -58 by 58. -1 20 divided by 5 4 Calculate -21 divided by -301. 3/43 Calculate -93 divided by -51. 31/17 Divide 0 by -466. 0 Calculate -443 divided by 6. -443/6 What is -7 divided by 345? -7/345 What is 0 divided by -1582? 0 8901 divided by -207 -43 Divide 4 by -114. -2/57 Calculate 115 divided by -6. -115/6 Calculate 324 divided by -108. -3 Divide -6888 by -984. 7 What is -20 divided by -2? 10 147 divided by 21 7 Divide -150 by 2. -75 177774 divided by 6 29629 Divide -10 by 15. -2/3 What is 451 divided by 451? 1 What is 1 divided by 142? 1/142 What is -4328 divided by -2164? 2 Divide 2 by 2. 1 Divide 1 by 2242. 1/2242 What is 35 divided by 5? 7 Divide 3 by 671. 3/671 -4 divided by 11 -4/11 -130 divided by 26 -5 Calculate 42 divided by -7. -6 Calculate 167 divided by -1. -167 Calculate -239 divided by 1. -239 What is 0 divided by 7346? 0 What is 2 divided by 86? 1/43 -4343 divided by 43 -101 What is 117 divided by 39? 3 Calculate -1440 divided by 144. -10 3892 divided by 5 3892/5 Calculate 164 divided by 4. 41 What is 328 divided by -7? -328/7 Calculate 0 divided by 73. 0 Divide 17 by 5. 17/5 Divide 3 by 149. 3/149 Calculate 76 divided by -11. -76/11 What is -74 divided by -74? 1 112 divided by -5 -112/5 13 divided by -78 -1/6 406 divided by -58 -7 Calculate 50 divided by 1. 50 -13 divided by 85 -13/85 7 divided by -4262 -7/4262 What is 596 divided by -2? -298 Calculate -1892 divided by -4. 473 Calculate -4185 divided by -465. 9 Calculate 6 divided by 6695. 6/6695 Calculate 10729 divided by 2. 10729/2 26440 divided by -5288 -5 Calculate 8 divided by 1. 8 Divide -3 by 5518. -3/5518 Calculate -180 divided by 30. -6 Divide -62 by 62. -1 Calculate 3312 divided by 3. 1104 Divide -221 by -1. 221 Divide -4 by 136. -1/34 Calculate -9 divided by 2. -9/2 Calculate 11 divided by -46. -11/46 Calculate -948 divided by 474. -2 Calculate 5277 divided by 1759. 3 What is -1134 divided by -2? 567 Divide 31241 by -2. -31241/2 Divide 5845 by 1169. 5 Divide -73 by 6. -73/6 Divide 416 by 52. 8 Calculate 1820 divided by 455. 4 -68 divided by -2 34 Calculate 1622 divided by 1. 1622 -1770 divided by -6 295 What is 201 divided by 67? 3 Divide 8 by -8. -1 Divide -542 by 2. -271 Calculate 5 divided by 417. 5/417 Calculate -222 divided by 222. -1 Divide 1179 by -393. -3 -24192 divided by -8064 3 -3 divided by 11 -3/11 Calculate 46 divided by 79. 46/79 What is 330 divided by 66? 5 Calculate 1 divided by 1834. 1/1834 1509 divided by 4 1509/4 Calculate 0 divided by 3. 0 What is 4 divided by -12? -1/3 -645 divided by -3 215 726 divided by -33 -22 924 divided by -231 -4 Divide -1534 by 17. -1534/17 -210 divided by -1 210 8312 divided by -2 -4156 What is -327 divided by -109? 3 10 divided by -2 -5 Divide -1852 by -4. 463 What is 3 divided by -1671? -1/557 -5466 divided by -6 911 Calculate 26 divided by 10. 13/5 What is -1444 divided by -76? 19 Divide -187 by -17. 11 Divide -2 by 36. -1/18 What is 0 divided by 3633? 0 Divide 14 by 7. 2 What is 60 divided by -5? -12 -6968 divided by -3 6968/3 Divide 43 by -41. -43/41 Calculate -18 divided by 9. -2 Divide 6 by 41. 6/41 -91 divided by -91 1 What is -3352 divided by -8? 419 Calculate -220 divided by -3. 220/3 Calculate 1624 divided by 406. 4 What is -355 divided by 12? -355/12 -7 divided by -1 7 What is 2926 divided by 14? 209 Calculate 0 divided by -12. 0 What is -14 divided by -5? 14/5 What is -3 divided by -4? 3/4 What is 640 divided by -4? -160 Divide 5 by 50. 1/10 Calculate 7782 divided by 2594. 3 -1095 divided by 365 -3 Divide -9 by 34. -9/34 -492 divided by -123 4 1834 divided by -4 -917/2 Divide -1151 by 2. -1151/2 14 divided by 502 7/251 85 divided by 7 85/7 Calculate 1770 divided by -5. -354 Divide 26 by -23. -26/23 Calculate -117 divided by -13. 9 Divide 0 by 384. 0 Divide 1145 by -6. -1145/6 Divide -7 by 7. -1 Divide 2478 by 16. 1239/8 Divide -13419 by -189. 71 Calculate 208 divided by -208. -1 Calculate -616 divided by -88. 7 Calculate -358 divided by -8. 179/4 Divide -204 by -6. 34 Divide 1 by -1624. -1/1624 Divide 3708 by 1236. 3 -26 divided by -1 26 Calculate 5443 divided by 4. 5443/4 Divide 1 by 569. 1/569 What is 98 divided by 60? 49/30 Calculate -78 divided by -13. 6 Calculate 3410 divided by 4. 1705/2 -1911 divided by 21 -91 2758 divided by -14 -197 What is 5 divided by 92? 5/92 -6 divided by 5 -6/5 54 divided by -30 -9/5 Divide 1 by -2242. -1/2242 Divide 1155 by -4. -1155/4 Calculate 6272 divided by -16. -392 Calculate -60 divided by -20. 3 Calculate -74 divided by 6. -37/3 What is 64 divided by 6? 32/3 What is -789 divided by 4? -789/4 -31 divided by 3 -31/3 Calculate -288 divided by -9. 32 Divide 2 by -14. -1/7 Calculate -38 divided by 34. -19/17 Calculate 404 divided by 4. 101 Calculate 14 divided by -45. -14/45 Calculate -24 divided by -12. 2 Calculate 364 divided by 13. 28 Divide 14649 by -4883. -3 Divide 22 by 2. 11 Divide 28 by 7. 4 Calculate 9421 divided by 3. 9421/3 Divide -1636 by 4. -409 Divide 4 by 9. 4/9 What is -6 divided by -53? 6/53 What is 520 divided by -5? -104 Calculate 4 divided by -1. -4 315 divided by -5 -63 419 divided by 2 419/2 What is 60 divided by -12? -5 What is 2428 divided by 1? 2428 50 divided by -28 -25/14
{ "pile_set_name": "DM Mathematics" }
hout replacement from zuuzsgsusgqsgqqggggz. 3/6460 Calculate prob of sequence hmm when three letters picked without replacement from mmphhhpuh. 1/63 What is prob of sequence pr when two letters picked without replacement from {n: 1, r: 1, c: 1, e: 2, p: 2}? 1/21 Calculate prob of sequence kv when two letters picked without replacement from qkvnybbqkvvq. 1/22 What is prob of sequence oxxx when four letters picked without replacement from xxxxxxxoxlxxxxxx? 1/20 Two letters picked without replacement from bcuububu. Give prob of sequence cb. 3/56 Two letters picked without replacement from argummurrbu. What is prob of sequence mr? 3/55 Two letters picked without replacement from {h: 1, c: 2}. Give prob of sequence ch. 1/3 Calculate prob of sequence uu when two letters picked without replacement from {u: 6}. 1 What is prob of sequence oq when two letters picked without replacement from occclccoccqqccqq? 1/30 Three letters picked without replacement from {w: 5, n: 3, l: 3, j: 2}. What is prob of sequence lnn? 3/286 Two letters picked without replacement from {k: 1, v: 18}. Give prob of sequence vk. 1/19 Calculate prob of sequence pr when two letters picked without replacement from yssssrpspysrpssppp. 2/51 Two letters picked without replacement from qqoeqswsoeovse. What is prob of sequence oo? 3/91 What is prob of sequence cd when two letters picked without replacement from {v: 1, d: 1, z: 5, o: 5, c: 2, g: 2}? 1/120 Two letters picked without replacement from mmmnmcccncc. What is prob of sequence nm? 4/55 Two letters picked without replacement from jjjjjjjjjjnjjjnljjnj. Give prob of sequence jl. 4/95 What is prob of sequence uxf when three letters picked without replacement from {i: 4, x: 1, f: 2, y: 2, u: 1}? 1/360 Calculate prob of sequence yar when three letters picked without replacement from yayfr. 1/30 Three letters picked without replacement from {w: 7, a: 2, v: 4}. What is prob of sequence avw? 14/429 Four letters picked without replacement from {q: 1, a: 1, e: 10, g: 1, p: 7}. What is prob of sequence ppeg? 7/1938 Calculate prob of sequence ggg when three letters picked without replacement from gggg. 1 Two letters picked without replacement from ppbbddpddpd. What is prob of sequence db? 1/11 Calculate prob of sequence bsrd when four letters picked without replacement from bssddrd. 1/140 Two letters picked without replacement from {g: 3, p: 9}. Give prob of sequence gp. 9/44 Four letters picked without replacement from {j: 1, e: 2, r: 1, w: 1, y: 1, f: 1}. Give prob of sequence erye. 1/420 What is prob of sequence zf when two letters picked without replacement from zfzzzzzz? 1/8 Calculate prob of sequence ppp when three letters picked without replacement from phhpphh. 1/35 Four letters picked without replacement from vjpdvkkpevk. Give prob of sequence ekpk. 1/660 Calculate prob of sequence myby when four letters picked without replacement from {t: 2, c: 1, y: 2, x: 2, b: 1, m: 1}. 1/1512 Two letters picked without replacement from {s: 15, k: 3}. Give prob of sequence sk. 5/34 Two letters picked without replacement from nnnnnn. What is prob of sequence nn? 1 Two letters picked without replacement from mof. Give prob of sequence om. 1/6 Two letters picked without replacement from ltyaagw. What is prob of sequence lg? 1/42 Two letters picked without replacement from {l: 4, w: 1, k: 3}. What is prob of sequence lw? 1/14 Four letters picked without replacement from hwhzcz. Give prob of sequence hcwh. 1/180 Two letters picked without replacement from kfauhakaah. What is prob of sequence ku? 1/45 Three letters picked without replacement from qqqvqv. Give prob of sequence qqq. 1/5 Four letters picked without replacement from {l: 17, n: 1}. What is prob of sequence llll? 7/9 Two letters picked without replacement from qxqxyxqqqqyqqayqqqx. Give prob of sequence qy. 11/114 Four letters picked without replacement from {w: 1, j: 2, n: 3, i: 9, c: 1, f: 3}. Give prob of sequence cwfi. 3/10336 Calculate prob of sequence vu when two letters picked without replacement from {u: 1, d: 1, v: 1}. 1/6 Three letters picked without replacement from {p: 8, l: 3, j: 1, w: 4, k: 3}. What is prob of sequence wkw? 2/323 Two letters picked without replacement from {b: 2, m: 3, z: 4, w: 1}. Give prob of sequence bz. 4/45 Three letters picked without replacement from oqfffoororoo. What is prob of sequence frf? 1/110 Calculate prob of sequence aww when three letters picked without replacement from {a: 2, w: 5}. 4/21 Calculate prob of sequence mtmm when four letters picked without replacement from hmmmhhtvmmmthtmhv. 3/272 Four letters picked without replacement from {v: 2, r: 1, j: 2, n: 2, k: 1, x: 1}. What is prob of sequence xjrj? 1/1512 Calculate prob of sequence mmd when three letters picked without replacement from mmddmamadamam. 15/286 Calculate prob of sequence jdj when three letters picked without replacement from ddjjjdjdjjjjd. 70/429 Calculate prob of sequence hu when two letters picked without replacement from ubhu. 1/6 Calculate prob of sequence hd when two letters picked without replacement from ekkqhdkhhex. 3/110 Two letters picked without replacement from jehe. What is prob of sequence je? 1/6 What is prob of sequence oo when two letters picked without replacement from {s: 4, o: 3}? 1/7 Three letters picked without replacement from csskbuqc. Give prob of sequence sus. 1/168 Calculate prob of sequence ll when two letters picked without replacement from {l: 12, o: 1}. 11/13 Three letters picked without replacement from {t: 2, f: 2, l: 2}. What is prob of sequence ltt? 1/30 Two letters picked without replacement from yaayuyayla. What is prob of sequence ly? 2/45 Two letters picked without replacement from {x: 9, e: 7}. Give prob of sequence ex. 21/80 What is prob of sequence igi when three letters picked without replacement from {g: 7, i: 7}? 7/52 Three letters picked without replacement from {w: 1, c: 14, s: 5}. What is prob of sequence ccs? 91/684 Calculate prob of sequence qq when two letters picked without replacement from {q: 4}. 1 Calculate prob of sequence uyk when three letters picked without replacement from {u: 1, m: 5, y: 3, k: 1, n: 2}. 1/440 Three letters picked without replacement from {f: 5, r: 2, z: 5}. What is prob of sequence fff? 1/22 Four letters picked without replacement from {x: 1, j: 1, f: 1, l: 1, v: 1}. Give prob of sequence jvlx. 1/120 What is prob of sequence ei when two letters picked without replacement from cecieiekecek? 5/66 Three letters picked without replacement from oqzjovzzqooqqqf. Give prob of sequence vqz. 1/182 Calculate prob of sequence eb when two letters picked without replacement from {k: 3, s: 1, e: 6, z: 1, b: 1}. 1/22 Two letters picked without replacement from mcczczcfc. Give prob of sequence fc. 5/72 What is prob of sequence wnf when three letters picked without replacement from {k: 5, w: 1, c: 2, f: 1, n: 1}? 1/720 What is prob of sequence emms when four letters picked without replacement from {e: 2, s: 5, m: 3}? 1/84 Calculate prob of sequence rh when two letters picked without replacement from {e: 4, h: 3, r: 1, m: 5}. 1/52 Two letters picked without replacement from {o: 2, a: 1, x: 8, q: 6, b: 1}. Give prob of sequence ao. 1/153 Two letters picked without replacement from vtvvgegev. Give prob of sequence gg. 1/36 What is prob of sequence rl when two letters picked without replacement from mdrwkdl? 1/42 Two letters picked without replacement from {i: 2, v: 1, f: 2, p: 5, n: 1, g: 4}. Give prob of sequence vg. 2/105 Three letters picked without replacement from eweeweweywyey. Give prob of sequence eey. 15/286 What is prob of sequence wc when two letters picked without replacement from {w: 2, z: 1, m: 1, c: 1, f: 1, j: 1}? 1/21 Three letters picked without replacement from {p: 1, t: 2, o: 1, x: 1}. What is prob of sequence txt? 1/30 Two letters picked without replacement from {p: 4, d: 14}. Give prob of sequence dp. 28/153 Calculate prob of sequence fcju when four letters picked without replacement from {r: 1, f: 1, c: 2, u: 6, j: 9}. 3/2584 Calculate prob of sequence fbdb when four letters picked without replacement from ffdbbfdbfbbdfffdb. 1/68 Two letters picked without replacement from illlilllliilioiiloo
{ "pile_set_name": "DM Mathematics" }
What is prob of sequence jwnc when four letters picked without replacement from dnjnjjwwdccnnz? 2/1001 Three letters picked without replacement from {e: 2, v: 4, q: 4}. Give prob of sequence vee. 1/90 Two letters picked without replacement from {q: 1, p: 1, v: 1, h: 1, k: 1}. Give prob of sequence vh. 1/20 Three letters picked without replacement from {i: 7, f: 3, o: 3}. What is prob of sequence ifo? 21/572 Calculate prob of sequence ikoi when four letters picked without replacement from iakttraatoatiak. 1/8190 Three letters picked without replacement from ytfftffxztf. Give prob of sequence fty. 1/66 Calculate prob of sequence uucu when four letters picked without replacement from cccccuuucccuu. 4/143 Three letters picked without replacement from mmmmmmmmmwmmm. What is prob of sequence mwm? 1/13 Calculate prob of sequence eei when three letters picked without replacement from {a: 4, e: 2, i: 7}. 7/858 Calculate prob of sequence ff when two letters picked without replacement from {f: 3, r: 2, d: 5, u: 1, k: 6}. 3/136 What is prob of sequence xc when two letters picked without replacement from {q: 3, x: 9, c: 4}? 3/20 Two letters picked without replacement from cckhhhhckchkchchckck. What is prob of sequence kc? 2/19 What is prob of sequence il when two letters picked without replacement from {w: 1, x: 3, i: 5, l: 1, y: 4}? 5/182 Four letters picked without replacement from {r: 2, i: 1, v: 3, n: 1, j: 3, a: 3}. What is prob of sequence vrvr? 1/1430 Two letters picked without replacement from nnnxxwwxnwanxawwwan. What is prob of sequence na? 1/19 Calculate prob of sequence mml when three letters picked without replacement from lttmmtmtmmftmmltmmt. 8/323 Calculate prob of sequence sq when two letters picked without replacement from {q: 1, l: 4, y: 1, u: 1, s: 1}. 1/56 Calculate prob of sequence xx when two letters picked without replacement from xxxx. 1 Two letters picked without replacement from {k: 4}. Give prob of sequence kk. 1 Calculate prob of sequence ccci when four letters picked without replacement from {i: 3, z: 4, c: 11}. 11/272 Two letters picked without replacement from ssccsssscscsssssssc. Give prob of sequence cs. 35/171 Three letters picked without replacement from hjpjjhjhjjhphj. What is prob of sequence hjp? 5/156 Calculate prob of sequence yy when two letters picked without replacement from ywvyxyvyyyvxyvwwxvx. 7/57 What is prob of sequence eoo when three letters picked without replacement from {u: 1, o: 4, x: 4, z: 2, e: 2, b: 2}? 4/455 Four letters picked without replacement from {g: 11, s: 5}. Give prob of sequence gggg. 33/182 What is prob of sequence te when two letters picked without replacement from {z: 2, e: 1, m: 1, t: 1, v: 2, n: 1}? 1/56 Two letters picked without replacement from aplplpepjlljseall. Give prob of sequence el. 3/68 Calculate prob of sequence wwww when four letters picked without replacement from {w: 10}. 1 Four letters picked without replacement from {y: 4, c: 1, r: 3, v: 2, n: 1, h: 1}. Give prob of sequence rvcv. 1/1980 What is prob of sequence vde when three letters picked without replacement from {s: 1, v: 1, b: 1, e: 1, d: 2, h: 1}? 1/105 What is prob of sequence uoiu when four letters picked without replacement from {z: 3, i: 2, u: 6, o: 1, f: 3}? 1/546 Two letters picked without replacement from {b: 1, a: 2, y: 2, w: 1}. What is prob of sequence aw? 1/15 Calculate prob of sequence dbgb when four letters picked without replacement from bmgbgmcbmgdmb. 3/1430 What is prob of sequence boh when three letters picked without replacement from rrzhokbzzrhb? 1/330 Three letters picked without replacement from pdpwppbappwpppppp. Give prob of sequence adb. 1/4080 Calculate prob of sequence dhp when three letters picked without replacement from hpphddhpphpp. 2/55 Three letters picked without replacement from gmlbybl. What is prob of sequence gll? 1/105 Two letters picked without replacement from nvvvvnnxnnnnnnvnnn. Give prob of sequence xn. 2/51 Three letters picked without replacement from {p: 3, x: 2, g: 3}. What is prob of sequence ggx? 1/28 Four letters picked without replacement from {g: 11, j: 2}. What is prob of sequence ggjj? 1/78 What is prob of sequence kkr when three letters picked without replacement from {r: 3, k: 4}? 6/35 What is prob of sequence iu when two letters picked without replacement from {u: 1, i: 2, l: 2, v: 3, s: 2, f: 2}? 1/66 Four letters picked without replacement from vnaddvbaabna. What is prob of sequence bvbn? 1/1485 Calculate prob of sequence oq when two letters picked without replacement from {h: 4, q: 6, o: 1, z: 3, l: 1}. 1/35 Calculate prob of sequence mnm when three letters picked without replacement from miinonoyoioomvovvvnn. 1/855 Three letters picked without replacement from {o: 2, l: 3, y: 6, s: 1, e: 3}. Give prob of sequence llo. 2/455 Two letters picked without replacement from {e: 1, t: 2, u: 2, g: 1}. Give prob of sequence eu. 1/15 Two letters picked without replacement from {a: 3, c: 6, j: 1, n: 2, e: 2, s: 5}. Give prob of sequence ea. 1/57 What is prob of sequence rff when three letters picked without replacement from {f: 2, t: 1, r: 1}? 1/12 Four letters picked without replacement from {e: 1, f: 7}. Give prob of sequence feff. 1/8 Calculate prob of sequence kvck when four letters picked without replacement from vvcvkvkvcvcc. 2/495 Calculate prob of sequence xk when two letters picked without replacement from {x: 3, k: 1}. 1/4 What is prob of sequence vlv when three letters picked without replacement from {c: 2, v: 3, l: 5}? 1/24 What is prob of sequence km when two letters picked without replacement from {q: 1, k: 1, f: 1, u: 2, m: 2, z: 1}? 1/28 Two letters picked without replacement from {f: 3, a: 1, w: 3, r: 2, b: 1}. What is prob of sequence fa? 1/30 What is prob of sequence bpbb when four letters picked without replacement from {b: 3, p: 4}? 1/35 Calculate prob of sequence mzi when three letters picked without replacement from thitiimtiihtzichzimt. 7/1710 What is prob of sequence uwpp when four letters picked without replacement from pwuuwpnluwwwp? 3/572 What is prob of sequence rf when two letters picked without replacement from eflrr? 1/10 Two letters picked without replacement from {h: 2, z: 4, c: 2, o: 5}. What is prob of sequence co? 5/78 Calculate prob of sequence uuuu when four letters picked without replacement from {u: 9}. 1 What is prob of sequence xn when two letters picked without replacement from {n: 3, x: 1, g: 1, v: 5, w: 3}? 1/52 Calculate prob of sequence ddd when three letters picked without replacement from {d: 4, x: 6}. 1/30 Two letters picked without replacement from {d: 1, j: 2}. Give prob of sequence dj. 1/3 Two letters picked without replacement from {z: 7, h: 3, i: 8}. What is prob of sequence hz? 7/102 What is prob of sequence jt when two letters picked without replacement from jkktttjgeakjjtjaataj? 3/38 Calculate prob of sequence ve when two letters picked without replacement from eyvy. 1/12 What is prob of sequence oo when two letters picked without replacement from dogoooflyyydfdo? 2/21 Two letters picked without replacement from kkhrhi. What is prob of sequence ir? 1/30 Calculate prob of sequence uya when three letters picked without replacement from {l: 2, u: 7, a: 3, j: 1, y: 1}. 1/104 Two letters picked without replacement from qlldlilldjdldillijd. What is prob of sequence lj? 8/171 What is prob of sequence zen when three letters picked without replacement from {n: 5, z: 1, e: 1, a: 2}? 5/504 Three letters picked without replacement from {w: 3, a: 1, n: 3, b: 1, j: 6, x: 3}. Give prob of sequence axx. 1/680 Three letters picked without replacement from {z: 1, b: 3, k: 10, y: 1, n: 2}. What is prob of sequence ybz? 1/1360 Calculate prob of sequence wi when two letters picked without replacement from wkxxxbxixikxxxixxlkx. 3/380 What is prob of sequence qq when two letters picked without replacement from {q: 2, t: 17}? 1/171 What is prob of sequence yy when two letters picked without replacement from gypyykkyyyyyky? 36/91 Two letters picked without replacement from tgtdgrgdgdddgdgggdgg. Give prob of sequence dt. 7/190 What is prob of sequence jh when two letters picked without replacement from vvjhjjjjh? 5/36 Calculate
{ "pile_set_name": "DM Mathematics" }
- 7*t - 26*t**2 - 14*t**2 in the form p*t**3 + a*t**2 + x*t + j and give j. 4 Rearrange -2*d**2 - d - 18*d**2 + 29 - 9*d**2 + 18*d**2 to z + s*d**2 + v*d and give z. 29 Express (44*z - 189*z + 6 + 208*z)*(6*z**2 + 2*z - 2*z) as r + d*z**2 + p*z + h*z**3 and give h. 378 Express -3*a**3 - 589*a + 342 + 589*a - 10*a**2 + 11*a**2 as h*a**2 + t + o*a + i*a**3 and give h. 1 Express (41 + 10 + 51)*(4*i + 8 + 7*i - 13*i) in the form s + k*i and give k. -204 Rearrange (-11*l - 14*l + 6*l)*(52 + 54 - 102) to the form h*l + r and give h. -76 Express (21 - 31 - 15)*(-5 + 5 - 2)*(1 - 3 + 0)*(-13 + 2 - 7)*(-3*r - 2 + 2) in the form u + j*r and give u. 0 Rearrange 92*q - 8470*q**2 + 92*q - 186*q + 1382*q**2 to the form m*q + w + s*q**2 and give m. -2 Rearrange -109*b**2 + 317*b**2 - 2*b**4 - 2 - 105*b**2 + b**3 - 105*b**2 - 430*b to x*b**3 + k*b + g*b**2 + z*b**4 + h and give h. -2 Rearrange -20*t - t**3 + 19*t**2 + 216 - 216 + 16*t to p*t**2 + r*t + n*t**3 + i and give n. -1 Express 2*c**3 - 11*c - 7*c + 21*c - 707 + 2867 - 6*c in the form l*c**3 + i*c**2 + v*c + t and give l. 2 Express (2*h + 1 + 3 - 3)*(-4 + 6 + 1)*(-6 + 0 - 7)*((2*h - 4*h - 10*h)*(-1 - 3 + 2) - h + 2*h + 3*h) in the form x*h + s*h**2 + f and give s. -2184 Express -2316*y - 3 + 2 - 1314*y in the form n + p*y and give n. -1 Express (3 + 1 - 2)*(-2 - 1 + 5)*(-6*z**2 - 40*z + 40*z)*(-5*z + 3*z + 1775*z**2 - 1795*z**2) as n*z**3 + v*z + l*z**4 + w*z**2 + x and give w. 0 Express -75*c + 1372 - 69*c - 81*c + 302*c - 73*c in the form f + m*c and give f. 1372 Express -j**2 + 5*j - 14 - 22*j - 2*j**4 + 7*j**3 - 15*j**3 + 8*j**3 as c*j**2 + v*j**4 + n*j + h + a*j**3 and give n. -17 Rearrange 3*y**2 + 10*y + 27*y**3 - 2 - 2*y**2 - 44*y**3 - 12*y + 18*y**4 + 18*y**3 to k + c*y + f*y**2 + g*y**4 + n*y**3 and give g. 18 Rearrange -141*f**4 - 2977*f**3 + 2981*f**3 + 615*f**4 + (-4*f + 0*f + 2*f)*(-6*f**3 + 4*f**3 + 4*f**3) to y*f**4 + h*f + n*f**3 + t + s*f**2 and give n. 4 Rearrange -128 + 126 + 0*r**3 - 2*r**3 - 2*r**3 - 7*r**4 + r**3 + r**2 + 26*r to the form d + b*r**3 + g*r**4 + h*r**2 + q*r and give q. 26 Express 85 + 2*y - 5*y - 13*y + 8*y in the form l*y + f and give l. -8 Rearrange (5*f + 0*f - 4*f + (6*f - 2*f - 2*f)*(1 + 0 - 2) + 64 + 25*f - 64)*(795 - 795 - 14*f) to the form r*f**2 + j + d*f and give r. -336 Express -66 + 175 - 362*x**2 - 70 - 52 as m*x**2 + c*x + h and give c. 0 Rearrange (1 - 5 + 5)*(516*w**3 - 1004*w**3 - 474*w**3 - 964*w**3) to i*w + s*w**3 + v + m*w**2 and give s. -1926 Rearrange (-4 + 5 + 7 + (-1 - 3 + 1)*(3 + 1 - 3) - 4 + 2 + 3)*(-5 - 2 + 0)*(-t**3 - 8*t**3 - 2*t**3) to l*t**3 + o*t**2 + r + h*t and give o. 0 Express -19*q + 56 + 101*q - 80*q - 26 + 14*q**2 + 105 in the form w*q**2 + j + b*q and give w. 14 Rearrange -a - 130 - 214 + 5*a - 3*a - 3*a**2 - 169 to the form n + j*a**2 + v*a and give n. -513 Express -12 + 3*r + 7*r**4 - 17 - r + 69 - 42 - 8*r**2 as b*r**2 + m*r**4 + n + v*r**3 + x*r and give n. -2 Express 4*j**3 + j**2 - 4*j**3 + 3*j**2 - 343 - 3*j**3 + 14 in the form p*j**3 + v*j**2 + i*j + m and give m. -329 Express (14*p + 21 + 16 - 40)*(37*p**3 - 2*p + 74*p**2 - 16*p**3 - 22*p**3) in the form u + d*p**2 + i*p**4 + m*p + k*p**3 and give m. 6 Rearrange (-5*q**3 + 4*q**4 + 5*q**3)*(-3 - 6 + 3)*(63 + 6 - 3) to k*q**4 + l*q**2 + i + o*q**3 + s*q and give k. -1584 Express -4*k**3 - 6988 + k**3 - 203*k + 6989 + k**2 - 18*k as q + m*k + h*k**3 + g*k**2 and give g. 1 Rearrange 233*m**3 - 17*m - 7*m - 7*m**2 + 23*m + 5*m**2 to the form u*m**2 + l*m + a + s*m**3 and give u. -2 Express -9*f**2 + 56 + 10*f**2 + 12*f**3 - f + 2*f - 57 + f**4 - 9*f**4 in the form i + h*f**4 + r*f**3 + q*f**2 + m*f and give m. 1 Express ((1 + 3 - 2)*(804 + 2280 + 7476 + 8598) - 1 + 4 - 5)*(-4*t + 4*t + 2*t) as c + a*t and give a. 76628 Express -1008*j + 4232*j + 2213*j + 3647*j - 107*j in the form n*j + p and give n. 8977 Rearrange 3*c**2 + 64*c + 566 + 615 - 66*c to x*c**2 + f + u*c and give u. -2 Rearrange -2176 - 235*x**2 + 237*x**2 + 519 to a*x + i*x**2 + z and give i. 2 Express 94 + t**4 + 21*t + 77 - 14*t - 9*t in the form r + z*t**4 + u*t**2 + w*t**3 + g*t and give g. -2 Rearrange 3117*g - 6*g**2 - 13183*g + 3492*g + 3566*g to s*g**2 + y + d*g and give s. -6 Rearrange 2*u**2 + 818 - 4454*u - 212 + 3*u**4 + 2212*u + 2244*u to the form j*u**2 + b*u + s*u**4 + f*u**3 + g and give b. 2 Rearrange 20*m**2 - 17*m**2 - 354*m + 31*m**2 - 22*m**2 - 3*m**3 - 14*m**2 to the form a*m**3 + o + y*m**2 + w*m and give w. -354 Express 1440 - 726 + 4270*q**2 - 714 in the form a + g*q + k*q**2 and give k. 4270 Rearrange h - 7*h**2 + 71705*h**4 - 1 + 7*h**3 + 3*h**2 - 71702*h**4 to z + d*h**4 + v*h**2 + b*h + x*h**3 and give z. -1 Rearrange (47*v**2 - 25*v**2 - 23*v**2)*(19724*v**2 - 19721*v**2 - 1 + 2) to w*v**4 + h + y*v + n*v**2 + r*v**3 and give w. -3 Express (-a + a - 3*a**2)*(1 - 2 + 0)*(-1020 + 86*a + 1020) in the form y*a**2 + s*a**3 + g*a + w and give s. 258 Express -608*m + 2473*m - 619*m - m**2 + 167 - 612*m - 619*m in the form f + l*m + c*m**2 and give c. -1 Rearrange -a**2 + 1 + 2*a**3 - 5*a**3 + 328*a**4 + 2*a**2 + 2 - 327*a**4 + 10*a to o*a**3 + q*a**4 + i + b*a + y*a**2 and give q. 1 Express (1 - 4 + 1 - 3*q)*(1 + 4 + 1)*(6*q + 2*q + 0*q) as w*q**2 + u + t*q and give w. -144 Rearrange (-3 - 1 + 1)*(-617 - 170 - 2052 - 715312*u + 715314*u) to the form r*u + b and give b. 8517 Rearrange (-5*d - 2*d**2 + 5*d)*(-1 + 3 - 3) - 2*d**2 + d**2 + 3*d**2 - 726*d + d**2 + 219*d + 366*d + 6 to the form z*d + q + a*d**2 and give z. -141 Rearrange -2 + 5 + 82*u**2 + 2*u + 43 - 45 to h + f*u**2 + k*u and give h. 1 Rearrange (-1116 - 3787 - 2984)*(4 - 4 - t**2) to the form w + j*t + v*t**2 and give v. 7887 Express -983*o - 2112*o + 616*o - 326*o as x + y*o and give y. -2805 Rearrange (3 - 3 - 1)*(-1 - o + 1) + 2*o + 0*o + 3*o + 146*o + 148*o + 232*o - 528*o - 6547 to b*o + t and give b. 4 Express c + 17*c**4 + 64793*c**2 + 0*c - 64798*c**2 + c**3 + 3 as j*c + v*c**2 + f*c**3 + y*c**4 + a and give y. 17 Rearrange (2*d**2 - 824 + 174*d**3 + 824)*(-7 + 2 - 2) to n*d**2 + p + s*d**3 + b*d and give n. -14 Rearrange (p + 0 + 0)*(-6*p**2 + 6*p**2 - 2*p**3) + 270860*p + 4*p**4 - 270858*p - 5*p**4 - 744*p**3 to the form j*p**2 + l*p**4 + k*p + w + q*p**3 and give q. -744 Rearrange (-7 + 0 - 9 + (1 + 0 - 2)*(1 + 5 - 3) - 3 + 3 - 1 + (3 - 4 - 1)*(9 + 6 - 14))*(5 - 5 + 2*r)*(1 - 1 - 7)*(2 - 6 + 1) to p*r + z and give p. -924 Rearrange -8 - 134*x**2 - 2*x**3 + 6 - 121*x**2 + 4 to the form i + r*x**3 + f*x**2 + g*x and give r. -2 Rearrange (762*m**2 + 134*m**2 + 344*m**2)*(40*m - 5 - 1 + 6) to the form j + x*m**3 + c*m**2 + d*m and give x. 49600 Express -3121*o - 77*o**4 + 3121*o + (o**2 - o**2 + 2*o**3)*(-o + 1 - 1) - 9*o**4 - 68*o**2 + 68*o**2 as t*o**3 + d*o + q*o**4 + z + h*o**2 and give q. -88 Rearrange (5 - 2 - 2)*(-2*u + 0*u + 3*u)*(11087 - 27831 + 14088) to s + b*u and give s. 0 Express -3 + 4 - 34*d**4 + d**3 + d + 87*d**2 + 31*d**2 - 162*d**2 + 40*d**2 in the form r*d**3 + t*d**4 + c + p*d + k*d**2 and give r. 1 Rearrange h + 80*h**2 + 93*h**2 + h - 529*h**2 - 557*h**2 to y + z*h**2 + f*h and give f. 2 Express 15756*z**2 + 2 + 58*z - 7885*z**2 - 7878*z**2 in the form v*z + q + j*z**2 and give q. 2 Rearrange (117 - 308 - 154)*(5*j**2 + 1 - 1) to c*j**2 + v*j + d and give c. -1725 Express -25 + 95 - 37 - 452*l - 32 - 3931*l as b + k*l and give b. 1 Rearrange (-3*n - 2*n + 4*n)*(676 + 163 + 76) - 10*n + 6 - 6 to the form h + w*n and give w. -925 Express (3630 - 3652 - s - 12*s)*(-33 - 37 + 55) in the form m*s + t and give m. 195 Express -7*d**2 + 14*d**2 + 3*d**3 - 730*d - 9*d**2 + 4*d**3 in the form o*d**3 + z*d + k*d**2 + b and give o. 7 Express (1 + 3 - 1)*(y**3 + y**3 - y**3) - 1698*y**3 - 4920*y + 4920*y in the form k*y + d*y**2 + c + s*y**3 and give s. -1695 Rearrange (285*m + 25 + 105*m - 65 + 40)*(8*m**3 - 15*m**3 + 11*m**3) to the form o*m**2 + u*m + s*m**4 + p*m**3 + r and give s. 1560 Rearrange -15*w - 90*w - 1605*w to k*w + m and give k. -1710 Express (-642*c**3 + 7773*c**2 - 7773*c**2 + c)*(17 + 2*c - 17) as j*c**4 + z*c**2 + o*c + r*c**3 + d and give z. 2 Express -66 - 124 + 3 - 10 - 66 + 4*r**2 - 2*r in the form s*r**2 + o*r + i and give s. 4 Express -1574*w + 2075*w + 3704*w in the form
{ "pile_set_name": "DM Mathematics" }
False Is 2110797 a multiple of 58? False Does 797 divide 329944? False Is 15 a factor of 449385? True Is 723228 a multiple of 12? True Is 405 a factor of 17536? False Does 9 divide 89653? False Is 467 a factor of 9885923? True Does 948 divide 865524? True Does 195 divide 2166060? True Does 11 divide 4532? True Does 4 divide 230072? True Does 557 divide 652354? False Is 1187801 a multiple of 315? False Is 373 a factor of 469563? False Does 84 divide 119722? False Is 6 a factor of 11094336? True Is 141 a factor of 561829? False Does 113 divide 181930? True Does 369 divide 66420? True Does 39 divide 4921640? False Does 11 divide 605649? True Does 6 divide 116542? False Is 12862092 a multiple of 1157? False Is 5 a factor of 2045540? True Does 284 divide 4135855? False Does 66 divide 209922? False Is 90990 a multiple of 310? False Is 16 a factor of 31618? False Does 32 divide 141376? True Does 75 divide 119025? True Is 11682 a multiple of 4? False Is 86 a factor of 744846? True Does 4 divide 63800? True Is 1007 a factor of 11739241? False Is 40 a factor of 543857? False Does 615 divide 7976550? True Is 113082 a multiple of 47? True Is 2124082 a multiple of 52? False Is 60 a factor of 976500? True Does 5 divide 374980? True Is 295 a factor of 11987000? False Is 463710 a multiple of 443? False Is 69708 a multiple of 471? True Is 1622 a factor of 7712610? True Is 1482482 a multiple of 2? True Does 52 divide 68415? False Does 67 divide 335741? False Is 134676 a multiple of 12? True Is 564 a factor of 1801416? True Is 78767 even? False Does 255 divide 611490? True Is 379275 a multiple of 195? True Is 3 a factor of 14064? True Is 2425 a factor of 12508150? True Is 125 a factor of 521088? False Is 62 a factor of 110794? True Is 46 a factor of 45223? False Does 30 divide 1465380? True Does 148 divide 114108? True Does 132 divide 547404? True Is 350578 a multiple of 2? True Does 8 divide 195649? False Does 5 divide 8132? False Is 3 a factor of 3041? False Is 16 a factor of 74272? True Is 19 a factor of 680200? True Is 218 a factor of 315882? True Is 509 a factor of 770913? False Is 147 a factor of 146118? True Is 46 a factor of 915595? False Does 646 divide 366282? True Is 3472899 a multiple of 349? True Does 38 divide 18012? True Is 329640 a multiple of 4? True Is 80 a factor of 458320? True Is 4 a factor of 91880? True Is 12 a factor of 733896? True Is 61 a factor of 36600? True Is 460 a factor of 541420? True Does 44 divide 2002176? True Is 42 a factor of 186758? False Is 283 a factor of 8342026? False Does 10 divide 294750? True Is 905490 a multiple of 354? False Is 204 a factor of 419598? False Does 20 divide 674398? False Is 263 a factor of 2463521? True Does 33 divide 348039? False Is 1178975 a multiple of 17? False Is 300514 a multiple of 9? False Is 313 a factor of 1384029? False Is 15576 a multiple of 8? True Is 1649596 a multiple of 13? True Is 424612 a multiple of 9? False Is 1070 a factor of 3588125? False Is 3868181 a multiple of 10? False Is 13 a factor of 7763? False Does 334 divide 372277? False Does 15 divide 11261313? False Is 101 a factor of 1007781? False Does 602 divide 2100378? True Is 89 a factor of 1524837? True Is 156 a factor of 2279316? True Is 23247 a multiple of 189? True Does 562 divide 4510940? False Is 32780 a multiple of 110? True Is 223 a factor of 193498? False Is 182028 a multiple of 11? True Is 56 a factor of 87997? False Is 74 a factor of 5194504? True Is 24801 a multiple of 17? False Is 38 a factor of 5902287? False Does 69 divide 634793? False Is 304 a factor of 2736? True Is 730 a factor of 1166540? True Is 430305 a multiple of 113? False Is 363706 a multiple of 166? True Does 11 divide 3236222? True Is 424 a factor of 26288? True Does 20 divide 1015736? False Is 14 a factor of 842478? True Is 360276 a multiple of 14? True Does 216 divide 8671031? False Does 19 divide 20763979? True Does 5 divide 119022? False Is 618660 a multiple of 20? True Does 433 divide 78373? True Is 73 a factor of 671332? False Is 26331 a multiple of 2? False Is 2119548 a multiple of 609? False Is 295680 a multiple of 16? True Is 690 a factor of 3501750? True Is 8 a factor of 2191172? False Is 206 a factor of 793307? False Is 14 a factor of 138259? False Does 5 divide 1945805? True Is 1082 a factor of 1888090? True Is 1772586 a multiple of 146? True Is 30 a factor of 32852? False Is 880848 a multiple of 72? True Is 4086550 a multiple of 26? True Is 21 a factor of 256305? True Is 37 a factor of 6000253? True Is 8547 a multiple of 7? True Does 49 divide 101822? True Is 103 a factor of 1845245? True Does 9 divide 2109? False Is 47 a factor of 247699? False Is 221622 a multiple of 6? True Is 19 a factor of 1842119? False Is 155 a factor of 160552? False Does 16 divide 104352? True Is 7561509 a multiple of 159? False Is 17 a factor of 314415? True Is 568 a factor of 119047? False Is 196060 a multiple of 4? True Is 1643681 a multiple of 144? False Is 13 a factor of 280410? True Is 3532 a multiple of 4? True Is 295694 a multiple of 13? False Is 208078 a multiple of 302? True Does 79 divide 329392? False Is 649726 a multiple of 44? False Is 10 a factor of 55947? False Does 81 divide 69903? True Is 18 a factor of 176994? True Does 488 divide 12840789? False Is 255132 a multiple of 684? True Does 107 divide 965868? False Does 2 divide 55244? True Is 89 a factor of 56584? False Is 8 a factor of 61360? True Is 102345 a multiple of 49? False Is 606462 a multiple of 236? False Does 96 divide 85248? True Does 252 divide 2608704? True Is 256 a factor of 859136? True Is 38979 a multiple of 9? True Is 13 a factor of 69368? True Does 160 divide 127106? False Does 14 divide 172936? False Does 105 divide 128663? False Is 24 a factor of 385711? False Is 721005 a multiple of 10? False Is 19 a factor of 10471831? True Does 17 divide 2589831? True Is 367800 a multiple of 150? True Is 486026 a multiple of 28? False Is 97 a factor of 215825? True Is 12 a factor of 1532382? False Is 114 a factor of 2336202? True Is 19722704 a multiple of 188? True Is 25 a factor of 9261? False Is 18 a factor of 105876? True Is 51 a factor of 108222? True Does 10 divide 77017? False Is 1568 a factor of 13986560? True Does 259 divide 667961? True Is 533094 a multiple of 23? True Does 31 divide 31537? False Does 2666 divide 7710072? True Is 186676 a multiple of 11? False Is 634 a factor of 1176070? True Is 184146 a multiple of 47? True Is 30 a factor of 57836? False Is 1126886 a multiple of 771? False Is 84 a factor of 2963393? False Is 46 a factor of 139421? False Is 80327 a multiple of 13? True Is 183608 a multiple of 46? False Is 865503 a multiple of 88? False Is 53482 a multiple of 5? False Is 480147 a multiple of 7? False Is 6035906 a multiple of 126? False Is 19 a factor of 742329? False Is 42 a factor of 148932? True Does 10 divide 146510? True Is 40 a factor of 318974? False Is 2 a factor of 184270? True Does 10 divide 2379100? True Is 18 a factor of 267858? True Is 639 a factor of 486918? True Does 211 divide 1693649? False Does 232 divide 1413561? False Is 455084 a multiple of 460? False Is 129499 a multiple of 5? False Does 82 divide 393600? True Is 565 a factor of 7391330? True Is 14591617 a multiple of 727? True Does 19 divide 2079398? True Is 1414683 a multiple of 43? False Is 4 a factor of 7120? True Is 681 a factor of 589065? True Is 1249 a factor of 3780377? False Is 155120 a multiple of 10? True Does 28 divide 509208? True Is 384 a factor of 743674? False Does 759 divide 15199734? True Is 329528 a multiple of 47? False Is 1434405 a multiple of 92? False Is 53 a factor of 20021? False Does 11 divide 26563? False Is 27 a factor of 242730? True Is 101 a factor of 7603482? True Is 72 a factor of 15688152? True Is 46 a factor of 2328382? True Is 55 a factor of 89210? True Does 78 divide 1882473? False Does 30 divide 2589797? False Is 790438 a multiple of 5? False Is 7546735 a multiple of 35? True Is 2031242 a multiple of 29? False Is 11343145 a multiple of 55? True Is 5 a factor of 97681? False Is 5575 even? False Is 8 a factor of 482476? False Does 105 divide 8819265? True Is 2420592 a multiple of 16? True Is 85 a factor of 16212897? False Is 57 a factor of 1183434? Tru
{ "pile_set_name": "DM Mathematics" }
by -102 -13 -2444 divided by -188 13 192 divided by -24 -8 What is 13 divided by -81? -13/81 Divide 116 by -58. -2 Divide 198 by -99. -2 What is -139 divided by -20? 139/20 What is -9350 divided by -25? 374 973 divided by -5 -973/5 Divide -104 by 26. -4 Calculate 9393 divided by 101. 93 Divide 5 by 63. 5/63 Divide -8 by 130. -4/65 What is 6 divided by -6? -1 What is 0 divided by 111? 0 0 divided by 47 0 -17 divided by -20 17/20 Divide 82 by -41. -2 Divide -561 by -3. 187 What is 2249 divided by -6? -2249/6 Divide -2 by 69. -2/69 Divide -776 by 8. -97 Divide 3 by -391. -3/391 What is -1 divided by -32? 1/32 Divide 25 by 27. 25/27 Calculate 3828 divided by 6. 638 -735 divided by -5 147 -686 divided by -49 14 Divide 611 by -15. -611/15 Divide 1 by 47. 1/47 -8100 divided by -4050 2 Calculate -429 divided by -5. 429/5 What is 7 divided by 16? 7/16 Divide 2595 by -3. -865 What is 1 divided by -11? -1/11 Divide -16 by 63. -16/63 What is 5 divided by -14? -5/14 Divide -2 by 57. -2/57 12657 divided by -4 -12657/4 Calculate 900 divided by -6. -150 -5 divided by 972 -5/972 What is -4313 divided by -1? 4313 What is 22010 divided by -5? -4402 -306 divided by 1 -306 Calculate 255 divided by -51. -5 What is -239 divided by 8? -239/8 -5 divided by -373 5/373 Divide 72 by -72. -1 Calculate -41482 divided by 7. -5926 What is 4028 divided by -4028? -1 Calculate -17 divided by -10. 17/10 -405 divided by -135 3 What is 1 divided by -9? -1/9 What is -19 divided by -1? 19 Calculate -731 divided by 4. -731/4 Divide 1 by -38. -1/38 Calculate -55 divided by -44. 5/4 2 divided by -568 -1/284 504 divided by -1 -504 What is -30 divided by -10? 3 42 divided by -16 -21/8 Calculate 0 divided by 598. 0 Divide 440 by -1. -440 -1470 divided by -14 105 Divide -15 by 1827. -5/609 Calculate 6 divided by -4103. -6/4103 Calculate 21175 divided by -4235. -5 Calculate 36 divided by 18. 2 -1560 divided by 78 -20 Divide -162 by -54. 3 Calculate -154 divided by -16. 77/8 Divide 74 by -4. -37/2 1218 divided by -6 -203 4000 divided by -250 -16 655 divided by -131 -5 Calculate -168 divided by 4. -42 Divide -1988 by -5. 1988/5 1 divided by -29 -1/29 What is -88 divided by 40? -11/5 What is -169 divided by -1? 169 What is -15684 divided by 3? -5228 What is 867 divided by 3? 289 -400 divided by -80 5 Divide 968 by 121. 8 -725 divided by 5 -145 What is 4 divided by -223? -4/223 Divide 1575 by -25. -63 -3 divided by 3381 -1/1127 What is -7232 divided by 2? -3616 -5 divided by 828 -5/828 Calculate -79 divided by -79. 1 -70 divided by -5 14 Calculate -5 divided by -4327. 5/4327 Divide 108 by 12. 9 What is 95 divided by 5? 19 273 divided by -273 -1 Calculate 5 divided by 1753. 5/1753 Calculate 0 divided by 4982. 0 Divide -2460 by -6. 410 What is -3 divided by 15? -1/5 Calculate -11 divided by -8. 11/8 Calculate 3 divided by 240. 1/80 What is 3255 divided by 1085? 3 What is 0 divided by -37? 0 -12 divided by 42 -2/7 Divide 2 by 1158. 1/579 What is 1550 divided by -310? -5 -6080 divided by -4 1520 What is 3 divided by -75? -1/25 What is 114 divided by 38? 3 What is 1 divided by -20? -1/20 Divide -2046 by -6. 341 Divide -790 by -158. 5 Calculate -984 divided by 1. -984 0 divided by 68 0 247 divided by 13 19 Calculate 14 divided by -392. -1/28 Divide 5235 by 3. 1745 What is 7 divided by 122? 7/122 What is 8 divided by 70? 4/35 Calculate 35 divided by 5. 7 -125 divided by 2 -125/2 Calculate -3 divided by -667. 3/667 Calculate 0 divided by 42. 0 Calculate 270 divided by -2. -135 Divide -1560 by -10. 156 Divide -1504 by 4. -376 What is 4 divided by -612? -1/153 Calculate 2392 divided by -299. -8 Divide 136 by 100. 34/25 Calculate -1544 divided by 4. -386 -5 divided by -5880 1/1176 -275 divided by 25 -11 Calculate -182 divided by -2. 91 Divide -2 by 160. -1/80 What is -1059 divided by -353? 3 Divide 360 by -15. -24 What is -17232 divided by 6? -2872 Calculate -36 divided by 2. -18 What is 1717 divided by 1? 1717 -4722 divided by 1574 -3 Calculate 132 divided by -3. -44 What is 4800 divided by 1200? 4 -24 divided by 3 -8 Calculate -3 divided by 531. -1/177 539 divided by 49 11 Divide 495 by 495. 1 Calculate -24 divided by -277. 24/277 Calculate -104 divided by 89. -104/89 Calculate 1295 divided by -1. -1295 Divide -119 by -14. 17/2 Divide 325 by 5. 65 Divide -10820 by 6. -5410/3 Calculate 13184 divided by 4. 3296 Calculate 666 divided by 1. 666 What is 210 divided by -30? -7 21 divided by 1 21 What is -12800 divided by 1600? -8 -5 divided by -143 5/143 Divide -575 by 115. -5 58 divided by -31 -58/31 0 divided by -3022 0 Calculate -432 divided by -216. 2 Calculate -48 divided by 8. -6 Divide 4137 by 4. 4137/4 What is 53 divided by -1? -53 Calculate -207 divided by 23. -9 What is 600 divided by -6? -100 Divide -5 by -287. 5/287 3 divided by 20 3/20 Divide 508 by -1. -508 -5 divided by 180 -1/36 What is -490 divided by 2? -245 5 divided by -1193 -5/1193 What is 25687 divided by -4? -25687/4 What is 7 divided by -106? -7/106 Divide 12240 by 48. 255 -692 divided by -4 173 What is 10098 divided by 2? 5049 Calculate -1871 divided by -1. 1871 650 divided by 4 325/2 -211 divided by 6 -211/6 -528 divided by 4 -132 Calculate 3 divided by -1108. -3/1108 Divide -1460 by 730. -2 Divide 2025 by -25. -81 What is 2024 divided by 23? 88 What is 1980 divided by 1? 1980 Calculate -336 divided by -4. 84 Divide 1 by 2751. 1/2751 What is -3 divided by -297? 1/99 -219900 divided by 4 -54975 -120 divided by -2 60 Calculate 21 divided by -17. -21/17 -11340 divided by -135 84 Calculate 608 divided by -5. -608/5 Calculate 3836 divided by -28. -137 Calculate -1 divided by -533. 1/533 Calculate 1428 divided by -119. -12 What is 0 divided by -136? 0 2 divided by 51 2/51 Divide -22248 by -6. 3708 What is -342 divided by -9? 38 Calculate -11268 divided by -6. 1878 Divide -6171 by 1. -6171 Divide -5 by -34. 5/34 What is 23715 divided by -4743? -5 What is 137 divided by -1? -137 34 divided by 17 2 210 divided by 21 10 Calculate 66 divided by -22. -3 Calculate 2 divided by 1. 2 -985 divided by -197 5 Calculate -4 divided by 1900. -1/475 -13 divided by 5 -13/5 Calculate -5 divided by 233. -5/233 17496 divided by 3 5832 What is 11340 divided by 5? 2268 -27 divided by 62 -27/62 What is 2357 divided by 1? 2357 98 divided by -49 -2 What is -3692 divided by 4? -923 What is -237 divided by -3? 79 What is -32 divided by -37? 32/37 What is -116 divided by 29? -4 Calculate 1 divided by -42. -1/42 What is 307 divided by -12? -307/12 2428 divided by 4 607 Calculate 4914 divided by -78. -63 Calculate 7 divided by 15. 7/15 Calculate 6240 divided by -1248. -5 What is -6 divided by 22? -3/11 What is 436 divided by -16? -109/4 Calculate -2 divided by 1762. -1/881 What is 1401 divided by -3? -467 -1 divided by -5 1/5 -118 divided by -59 2 Divide -4 by -86. 2/43 What is 18 divided by 31? 18/31 -7 divided by 63 -1/9 What is 1 divided by -49? -1/49 252 divided by -1 -252 Divide 2732 by 683. 4 Divide -403 by -13. 31 102 divided by -4 -51/2 What is 14 divided by -485? -14/485 What is -116 divided by 2? -58 Calculate 1830 divided by -6. -305 1015 divided by -1 -1015 What is -1 divided by -312? 1/312 Divide 1 by 248. 1/248 Calculate 1 divided by 889. 1/889 Calculate 84 divided by 42. 2 -3298 divided by 2 -1649 What is -5 divided by -57? 5/57 -88 divided by 30 -44/15 Calculate -69 divided by -23. 3 Divide -1680 by -6. 280 What is 5556 divided by 6? 926 What is -861 divided by 287? -3 What is -85 divided by -53? 85/53 What is 17 divided by -27? -17/27 What is -5500 divided by -250? 22 Divide -416 by -1. 416 What is 1817 divided by -11? -1817/11 Calculate -4 divided by -640. 1/160 Calculate 9 divided by -16. -9/16 Divide -308 by 14. -22 What is -113 divided by -59? 113/59 Calculate -265 divided by -2. 265/2 What is -6 divided by 3? -2 What is 1518 divided by -253? -6 7 divided by -1076 -7/1076 Calculate 709 divided by 6. 709/6 Divide 2 by -65. -2/65 Calculate 10863 divided by -213. -51 -371 divided by 2 -371/2 What is -7 divided by -999? 7/999 1376 divided by -344 -4 -5 divided by -157 5/157 Calculate -9900 divided by -5. 1980 -2 divided by 3990 -1/1995 What is -189 divided by 7? -27 What is -1008 divided by -7? 144 Calculate 57 divided by 264. 19/88 What is -1017
{ "pile_set_name": "DM Mathematics" }
/7*h**2 + 0 = 0. Calculate h. -7, 0, 10 Let c(k) be the first derivative of 3*k**5/100 + 7*k**4/20 + 3*k**3/5 - 13*k + 46. Let h(j) be the first derivative of c(j). Determine a so that h(a) = 0. -6, -1, 0 Let f be 50/(-6)*(-7614 + 48). Find k, given that -20*k**3 + 370*k**4 - 175*k**5 - 40*k**2 + f*k - 63050*k = 0. -2/7, 0, 2/5, 2 Suppose -120*h**3 + 206 - 25 - 28*h**4 - 24*h - 181 - 116*h**2 = 0. What is h? -3, -1, -2/7, 0 What is u in 25 - 50*u**2 - u**3 + 1/2*u + 25*u**4 + 1/2*u**5 = 0? -50, -1, 1 Let l(i) = -12*i**2 + 429*i - 22477. Let a(o) = 5*o**2 - 214*o + 11238. Let u(q) = -5*a(q) - 2*l(q). Solve u(y) = 0. 106 Let i(z) be the third derivative of -z**5/420 - 1285*z**4/84 - 1651225*z**3/42 + 14*z**2 - 31. Determine q, given that i(q) = 0. -1285 Let b(u) be the second derivative of -u**6/900 - u**5/75 - u**4/20 + 41*u**3/6 - 22*u - 2. Let a(j) be the second derivative of b(j). Factor a(h). -2*(h + 1)*(h + 3)/5 Find l such that 1148/5 - 2/5*l**4 + 2866/5*l + 566/5*l**3 + 2286/5*l**2 = 0. -2, -1, 287 Let q be (((-48)/156)/((-52)/(-338)))/(-14). Factor t**2 + 20/7 - 4*t + q*t**3. (t - 2)*(t - 1)*(t + 10)/7 Let j(y) be the third derivative of -31/6*y**4 + 2*y**5 + y**2 + 7*y**3 - 12*y + 0 - 1/105*y**7 - 3/10*y**6. Factor j(s). -2*(s - 1)**3*(s + 21) Let a = 2244 - 2241. Let y(w) be the third derivative of -1/90*w**5 - 1/18*w**4 + 18*w**2 - 1/9*w**a + 0 + 0*w. Factor y(i). -2*(i + 1)**2/3 Determine w so that -15*w**3 + 1023*w - 385*w - 36*w**2 + 3*w**4 - 530*w = 0. -3, 0, 2, 6 Let q = -14/7179 - -86246/50253. Factor -9/7*h - 3/7*h**2 + q. -3*(h - 1)*(h + 4)/7 Let h(s) be the second derivative of -3*s**5/20 - 53*s**4/4 - 328*s**3 - 3552*s**2 - 3925*s. Factor h(z). -3*(z + 8)**2*(z + 37) Let m(q) be the second derivative of -1/36*q**4 - 9*q + 1/9*q**3 + 1/2*q**2 + 0. Factor m(k). -(k - 3)*(k + 1)/3 Let s(w) be the second derivative of 5*w**9/3024 + w**8/112 + w**7/84 - 13*w**3/6 - 9*w. Let j(o) be the second derivative of s(o). Factor j(v). 5*v**3*(v + 1)*(v + 2) Suppose -16*f + 4603 = 4523. Let m(x) be the third derivative of 1/24*x**4 + 0 + 0*x - 1/3*x**3 + 1/60*x**f + 22*x**2. Suppose m(l) = 0. Calculate l. -2, 1 Let b = 130 + -120. What is m in -3*m**2 + 9*m - b*m**3 + 12*m**5 + 15*m**3 - 26*m**3 + 3*m**4 = 0? -1, 0, 3/4, 1 Suppose 4*v = -2*o - 3*o - 8, -4*v + 4*o = 8. Let a be ((-7)/v - 1) + (-2)/4. Factor 11*m**2 - 7*m - 8*m**2 - a + 0*m - 6*m**2. -(m + 2)*(3*m + 1) Suppose 426*h**4 - 2*h**5 + 7*h**5 + 423*h**4 - 10*h**2 - 864*h**4 - 15*h**3 + 45*h**2 + 30*h = 0. Calculate h. -1, 0, 2, 3 Suppose -4*w = -2*b + 9 - 33, -19 = -3*w + 2*b. Suppose 4*o - 215 = 2*o + d, -w*o = d - 555. Factor -46*n**4 + 100*n + 18 + o*n**3 + 165*n**2 + 71*n**4 + 2. 5*(n + 1)**2*(n + 2)*(5*n + 2) Let y(n) be the third derivative of 0*n + 0 + 5/8*n**4 - 1/48*n**5 + 35/6*n**3 + 150*n**2. Determine o so that y(o) = 0. -2, 14 Let h be (-30)/(-12) + 18/12. Solve 4*f**3 + 0*f**h + 0*f + 3*f**2 + f**4 + 0*f - 9*f + f**3 = 0. -3, 0, 1 What is l in 214*l**2 - 907*l**2 - 81*l**3 - 3*l**4 - 1575*l - 440*l + 104*l = 0? -13, -7, 0 Let h(x) be the second derivative of 27/4*x**4 + 104*x + 0*x**2 - 3/2*x**5 + 1/10*x**6 - 9*x**3 + 0. Factor h(f). 3*f*(f - 6)*(f - 3)*(f - 1) Factor 75*q**3 - 141/2 - 216*q**2 + 213*q - 3/2*q**4. -3*(q - 47)*(q - 1)**3/2 Let r(b) be the first derivative of 2*b**5/15 + 163*b**4/6 + 1980*b**3 + 55404*b**2 + 104976*b + 787. Let r(k) = 0. Calculate k. -54, -1 Let f(g) = 8*g - 60. Let h(a) = -3*a + 22. Let k(d) = -4*f(d) - 11*h(d). Let p(b) = 2*b**2 - 28. Let n(q) = 2*k(q) - p(q). Find l such that n(l) = 0. -3, 4 Let p(n) be the second derivative of n**7/630 + n**6/360 - n**5/90 + 157*n**2/2 + 31*n. Let t(z) be the first derivative of p(z). Factor t(k). k**2*(k - 1)*(k + 2)/3 Suppose 4*y = 31*y - 54. Solve -17*s**y - 203*s**3 + 205*s**3 + 30*s**2 + 21*s**2 = 0 for s. -17, 0 Let v(l) be the first derivative of -13*l**5 - 14 + 0*l + 140/3*l**3 + 55/4*l**4 + 10*l**2. Find r such that v(r) = 0. -1, -2/13, 0, 2 Let o(t) = -7*t**2 + 11933*t + 17808497. Let n(l) = -4*l**2 + 11934*l + 17808502. Let g(b) = -6*n(b) + 4*o(b). Determine x, given that g(x) = 0. -2984 Let x = 41459 - 41457. Determine m so that 1/5*m**x + 245 + 14*m = 0. -35 Suppose -395 = -12*i - 311. Suppose 4*w = -3*c + i, 6*c - 2*c + 28 = 4*w. Factor -1/4*p**w - 2*p + 1/4*p**2 - 1/4*p**5 + 1 + 5/4*p**3. -(p - 1)**3*(p + 2)**2/4 Let s = 1027 - 747. Let w be (25/(-6))/(10/(s/(-21))). Factor 20/9*r + w + 2/9*r**2. 2*(r + 5)**2/9 Let -11388/5*u - 16210818/5 - 2/5*u**2 = 0. What is u? -2847 Let m(l) be the second derivative of -l**7/504 - l**6/18 - 2*l**5/3 - 55*l**4/12 - 13*l - 3. Let p(j) be the third derivative of m(j). Factor p(b). -5*(b + 4)**2 Suppose -20*m + 14 - 20 + 86 = 0. Let o(x) be the first derivative of -4/15*x**3 - 1/20*x**m - 2/5*x**2 + 0*x + 1. Factor o(a). -a*(a + 2)**2/5 Suppose 5*n = -y + 137, 5*y = -13 - 2. Let z be ((-231)/(-5))/3 - n/70. Factor z*c**2 - 16*c - 32*c + 10 + 30*c**4 + 3*c + 65*c**2 - 5*c**5 - 70*c**3. -5*(c - 2)*(c - 1)**4 Suppose 4*u + 4*f = -4, -u + 54 - 55 = 3*f. Let z be (-206)/515*5*u. Factor -126/13*r**z - 54/13*r**4 - 4/13 + 38/13*r + 162/13*r**3. -2*(r - 2)*(3*r - 1)**3/13 Let a(j) be the second derivative of -j**7/840 + j**6/180 - j**5/120 - 14*j**3/3 + 14*j. Let w(l) be the second derivative of a(l). Solve w(u) = 0 for u. 0, 1 Let d(t) be the third derivative of -59/15*t**5 + 0 - 37/30*t**6 - 35/6*t**4 - 4*t**3 - 2/15*t**7 + 0*t + 9*t**2. Let d(h) = 0. What is h? -3, -1, -2/7 Suppose 5*y - 2*n = n + 15, n = 4*y - 19. Let a be (-6 + 48/6)/(8/y). Suppose -a*b**2 - 1/4*b**3 - 9/4*b + 0 = 0. Calculate b. -3, 0 Let j(d) = -8*d**2 - 935*d + 1698. Let v(q) = 3*q**2 + 312*q - 564. Let s(p) = 6*j(p) + 17*v(p). Determine k so that s(k) = 0. 2, 100 Let a(o) be the third derivative of -23*o**5/270 + o**4/6 + 5*o**3/27 + 2*o**2 - 1683*o. Suppose a(r) = 0. Calculate r. -5/23, 1 Let u(f) be the first derivative of f**4/22 + 2*f**3/33 - 37*f**2/11 + 70*f/11 + 909. Find k, given that u(k) = 0. -7, 1, 5 Let j(u) be the third derivative of -u**5/210 - 1616*u**4/21 - 10445824*u**3/21 - 13712*u**2. Solve j(n) = 0. -3232 Suppose 13*x + 15 = 18*x. Solve -200*d - 47 + 63*d**4 - 75*d**x + 55*d**4 - 128*d**4 - 13 - 195*d**2 = 0. -3, -2, -1/2 Let b(i) = -597*i - 63279. Let h be b(-106). Factor 2187/5*c + 0 + 3/5*c**h + 162/5*c**2. 3*c*(c + 27)**2/5 Suppose -4*k + 3*p = 4*p - 44, -p = -4. Suppose -50*f = -48*f - k. Find h such that 29*h**5 + 37*h**5 - 5*h**3 - 61*h**f = 0. -1, 0, 1 Let l(b) be the second derivative of b**5/5 - 17*b**4/3 + 18*b**3 + 90*b**2 + 166*b + 4. Factor l(i). 4*(i - 15)*(i - 3)*(i + 1) Suppose 3*g - 4 = 2. Suppose 0 = -g*d + 5*d. Factor 3*q**3 + 5*q - 7*q - 7*q + d*q**3 - 6. 3*(q - 2)*(q + 1)**2 Let t(s) be the second derivative of s**5/70 + 31*s**4/42 + 50*s**3/7 + s - 884. Factor t(i). 2*i*(i + 6)*(i + 25)/7 Let z be 124 - ((-11)/99 + 34/(-18)). Let i = z - 123. Factor -5/6*b**i + 3/2*b**2 - 7/6*b + 1/6*b**4 + 1/3. (b - 2)*(b - 1)**3/6 Factor 0 - 1/4*y**3 + 117*y - 58*y**2. -y*(y - 2)*(y + 234)/4 Factor 39*h - 212*h**2 - 208*h**2 - 12 + 19 - 179 + 421*h**2. (h - 4)*(h + 43) Suppose c + o = 4, -15 = 20*o - 15*o. Suppose 0 = -3*r - 14 + 2. Let i(l) = 4*l**2 - 8. Let t(v) = 8*v**2 + v - 16. Let p(z) = c*i(z) + r*t(z). Factor p(b). -4*(b - 1)*(b + 2) Let b = -135 + 135. Let o be (b/(2 + -5 + 2))/1. Factor o - 2/3*m + m**4 + 1/3*m**3 + 1/3*m**5 - m**2. m*(m - 1)*(m + 1)**2*(m + 2)/3 Let v(q) be the first derivative of -q**3/18 - 43*q**2/6 - 1849*q/6 - 847. Suppose v(b) = 0. What is b? -43 Let z(v) be the third derivative of 0*v + 17/30*v**4 + 0 - 57*v**2 - 1/75*v**5 - 32/15*v**3. Suppose z(l) = 0. What is l? 1, 16 Let h = 837/20 + -411/10. Let y be (-18)/(-90) - (-2)/(-10). Factor h*z**3 + 3/2*z + y + 9/4*z**2. 3*z*(z + 1)*(z + 2)/4 Let n(r) = -10*r**2 + 1535*r + 1490. Let m(g) = -9*g**2 + 1533*g + 1498. Let k(p) = 5*m(p) - 4*n(p). Find o such that k(o) = 0. -1, 306 Let g(k) be the third derivative of -271*k**7/1155 + k**6/330 - 10*k**2 - 28*k. Factor g(o). -2*o**3*(271*o - 2)/11 Let o = -128351 - -1283511/10. Factor -1/5*b**2 + 0*b + 1/10*b**4 + 0 - o*b**3. b**2*(b - 2)*(b + 1)/10 Let w(x) be the third derivative of 5*x**8/336 + 19*x**7/42 + 103*x**6/24 + 12
{ "pile_set_name": "DM Mathematics" }
0, 1, 28 Solve -8*b**5/7 + 150*b**4/7 - 418*b**3/7 - 2666*b**2/7 - 2574*b/7 - 484/7 = 0 for b. -2, -1, -1/4, 11 Determine s so that -2*s**3/13 - 14*s**2 - 696*s/13 = 0. -87, -4, 0 Factor -o**3 - 19*o**2 + 496*o - 2240. -(o - 8)**2*(o + 35) Let z**5 + 7*z**4 - 24*z**3 - 180*z**2 = 0. What is z? -6, 0, 5 Determine o, given that -o**2 + 41*o - 40 = 0. 1, 40 Find f, given that -f**4/5 + 16*f**3/5 - 51*f**2/5 + 36*f/5 = 0. 0, 1, 3, 12 Solve 4*x**3/9 - 22*x**2/3 - 184*x/9 - 38/3 = 0 for x. -3/2, -1, 19 Determine n so that -n**5/5 + 6*n**4/5 - 8*n**3/5 - 2*n**2/5 + 9*n/5 - 4/5 = 0. -1, 1, 4 What is g in -2*g**2 + 468*g + 470 = 0? -1, 235 Solve 2*v**2 + 8210*v - 8212 = 0. -4106, 1 Find f, given that 4*f**3 + 40*f**2 + 64*f = 0. -8, -2, 0 Solve 2*h**5 - 14*h**4 + 18*h**3 + 46*h**2 - 100*h + 48 = 0 for h. -2, 1, 3, 4 Factor -g**5/2 + 20*g**4 + 132*g**3 + 271*g**2 + 457*g/2 + 69. -(g - 46)*(g + 1)**3*(g + 3)/2 Suppose 3*i**2 - 288*i + 6912 = 0. Calculate i. 48 Solve -2*k**3/13 + 42*k**2/13 - 168*k/13 - 40 = 0 for k. -2, 10, 13 Factor 3*s**3/8 + 153*s**2/8 + 147*s/4. 3*s*(s + 2)*(s + 49)/8 Solve -2*l**3 - 54*l**2 - 336*l + 392 = 0. -14, 1 Factor u**4/7 - u**3 + 18*u**2/7 - 20*u/7 + 8/7. (u - 2)**3*(u - 1)/7 Let 3*g**3 + 1932*g**2 - 3873*g + 1938 = 0. What is g? -646, 1 Let -v**2/8 + 65*v/8 - 57 = 0. What is v? 8, 57 Suppose u**4/9 + 233*u**3/9 - u**2/9 - 233*u/9 = 0. Calculate u. -233, -1, 0, 1 Factor -l**2 + 1042*l + 1043. -(l - 1043)*(l + 1) Suppose -2*c**3 + 106*c**2 + 108*c = 0. What is c? -1, 0, 54 Determine s, given that s**4/6 + 43*s**3/2 + 4349*s**2/6 + 4053*s/2 + 1323 = 0. -63, -2, -1 Suppose o**2/5 + 7*o/5 + 6/5 = 0. What is o? -6, -1 Find l, given that -3*l**3 - 60*l**2 - 141*l + 204 = 0. -17, -4, 1 Suppose -2*l**3/9 - 308*l**2/9 - 34*l = 0. Calculate l. -153, -1, 0 Find l, given that 30*l**2 + 346*l + 684 = 0. -9, -38/15 Let 4*s**3 - 552*s**2 + 548*s = 0. What is s? 0, 1, 137 Determine y, given that -4*y**5/9 - 31*y**4/9 - 68*y**3/9 - 29*y**2/9 + 4*y/3 = 0. -4, -3, -1, 0, 1/4 Let -3*p**3 - 75*p**2 - 204*p - 132 = 0. What is p? -22, -2, -1 Factor k**2/5 + 19*k/5 + 14. (k + 5)*(k + 14)/5 Factor f**2/3 + 6172*f/3 + 9523396/3. (f + 3086)**2/3 Find a, given that 3*a**2/2 + 81*a/2 + 75 = 0. -25, -2 Factor x**4 - 27*x**3 - 57*x**2 - 29*x. x*(x - 29)*(x + 1)**2 Let -3*l**4/4 + 105*l**3 - 14697*l**2/4 - 105*l + 3675 = 0. What is l? -1, 1, 70 Suppose b**4/4 + 35*b**3 + 1153*b**2 - 5040*b + 5184 = 0. Calculate b. -72, 2 Factor -2*g**3/11 - 18*g**2/11 - 40*g/11 - 24/11. -2*(g + 1)*(g + 2)*(g + 6)/11 Factor 4*s**5 + 16*s**4 - 32*s**3 - 40*s**2 + 92*s - 40. 4*(s - 1)**3*(s + 2)*(s + 5) Determine o so that -2888*o**5 + 25840*o**4 + 36022*o**3 - 55918*o**2 - 3016*o - 40 = 0. -2, -1/38, 1, 10 Solve 3*j**4 + 84*j**3 + 78*j**2 - 84*j - 81 = 0. -27, -1, 1 Factor -3*i**3/2 + 15*i**2/2 - 6*i. -3*i*(i - 4)*(i - 1)/2 Solve 2*q**3/15 - 2*q**2/15 - 16*q/15 + 8/5 = 0 for q. -3, 2 Factor 2*l**3 + 42*l**2 + 160*l. 2*l*(l + 5)*(l + 16) Determine d so that -d**2 - 15*d - 14 = 0. -14, -1 What is f in -f**3/5 + 19*f**2/5 - 11*f - 363/5 = 0? -3, 11 Factor -3*o**4 - 78*o**3 - 504*o**2 + 78*o + 507. -3*(o - 1)*(o + 1)*(o + 13)**2 Determine p, given that 2*p**5/7 + 6*p**4/7 + 2*p**3/7 - 6*p**2/7 - 4*p/7 = 0. -2, -1, 0, 1 Find l such that 3*l**4 + 117*l**3 + 1215*l**2 - 2025*l - 60750 = 0. -15, 6 Suppose -2*s**4 + 192*s**2 + 1024*s + 1536 = 0. What is s? -4, 12 Suppose -8*y**5 + 68*y**4 - 84*y**3 - 260*y**2 - 100*y = 0. Calculate y. -1, -1/2, 0, 5 Find f such that 28*f**4 + 132*f**3 - 208*f**2 + 48*f = 0. -6, 0, 2/7, 1 Determine g so that 2*g**4/17 - 14*g**3/17 + 24*g**2/17 + 8*g/17 - 32/17 = 0. -1, 2, 4 Suppose -9*s**4 - 83*s**3 + 711*s**2 + 6723*s + 1458 = 0. What is s? -9, -2/9, 9 Let -3*q**5/4 + 3*q**4 + 27*q**3/4 - 27*q**2 = 0. What is q? -3, 0, 3, 4 Find d, given that 4*d**5 + 304*d**4 + 292*d**3 - 600*d**2 = 0. -75, -2, 0, 1 Factor i**2/2 + 57*i/2 - 260. (i - 8)*(i + 65)/2 Factor -3*y**3 + 45*y**2 + 363*y + 315. -3*(y - 21)*(y + 1)*(y + 5) What is u in -u**3 + u**2 = 0? 0, 1 Factor -4*g**5 - 24*g**4 + 136*g**3 - 224*g**2 + 156*g - 40. -4*(g - 1)**4*(g + 10) Factor -3*s**2 + 4932*s - 2027052. -3*(s - 822)**2 Determine y so that -2*y**4 + 18*y**3 - 58*y**2 + 78*y - 36 = 0. 1, 2, 3 Factor 2*f**2/19 + 254*f/19 - 2740/19. 2*(f - 10)*(f + 137)/19 Factor -50*x**3/11 - 28510*x**2/11 + 22832*x/11 - 4568/11. -2*(x + 571)*(5*x - 2)**2/11 Determine p, given that -p**2/4 - 175*p/2 - 30625/4 = 0. -175 Factor 3*s**2 - 1284*s + 137388. 3*(s - 214)**2 What is o in o**3/3 + 158*o**2/3 - 320*o/3 = 0? -160, 0, 2 Factor -v**4/4 + 3*v**3/4 + v**2/2 - 3*v + 2. -(v - 2)**2*(v - 1)*(v + 2)/4 Determine q, given that -180*q**4 - 120*q**3 + 1135*q**2 - 365*q + 30 = 0. -3, 1/6, 2 Factor 2*o**4 - 10*o**3 - 16*o**2 + 24*o. 2*o*(o - 6)*(o - 1)*(o + 2) Let -2*h**2/13 - 482*h/13 = 0. What is h? -241, 0 Find j, given that -j**5/3 - j**4/3 + 22*j**3/3 - 44*j**2/3 + 8*j = 0. -6, 0, 1, 2 Factor -2*y**2/11 + 4*y/11 - 2/11. -2*(y - 1)**2/11 Let 3*u**5 + 15*u**4 - 105*u**3 + 45*u**2 + 162*u = 0. Calculate u. -9, -1, 0, 2, 3 Let -6*y**2 + 69*y - 114 = 0. What is y? 2, 19/2 Suppose 15*f**5 - 425*f**4 - 740*f**3 - 300*f**2 = 0. What is f? -1, -2/3, 0, 30 Factor -5*o**4 - 425*o**3 + 430*o**2. -5*o**2*(o - 1)*(o + 86) Factor 3*n**3 - 321*n**2 - 651*n - 327. 3*(n - 109)*(n + 1)**2 Find b, given that -2*b**3/11 - 56*b**2/11 - 318*b/11 - 504/11 = 0. -21, -4, -3 Suppose 4*a**3 - 96*a**2 - 100*a = 0. What is a? -1, 0, 25 Determine k so that 8*k**5 - 66*k**4 + 160*k**3 - 36*k**2 - 216*k + 54 = 0. -1, 1/4, 3 What is j in -3*j**5/7 + 57*j**4/7 - 303*j**3/7 + 663*j**2/7 - 90*j + 216/7 = 0? 1, 2, 3, 12 Factor 14*z**3/5 + 2272*z**2/5 + 92502*z/5 + 26244/5. 2*(z + 81)**2*(7*z + 2)/5 Find n, given that -2*n**3/19 - 72*n**2/19 - 130*n/19 + 204/19 = 0. -34, -3, 1 Let -17*k**3/3 + 532*k**2 + 5135*k/3 + 194 = 0. What is k? -3, -2/17, 97 Determine q so that 8*q**5 - 348*q**4 + 1960*q**3 - 1172*q**2 - 5856*q - 2368 = 0. -1, -1/2, 4, 37 Factor 3*a**5 + 3*a**4 - 6*a**3 - 6*a**2 + 3*a + 3. 3*(a - 1)**2*(a + 1)**3 Find l such that 2*l**2 + 2972*l - 2974 = 0. -1487, 1 Find r such that 10*r**3/19 + 364*r**2/19 - 226*r/19 - 148/19 = 0. -37, -2/5, 1 Find i such that 5*i**2/6 - 310*i + 28830 = 0. 186 Determine z so that -z**2/6 - 9*z - 53/6 = 0. -53, -1 Find h, given that 84*h**5 + 507*h**4 + 768*h**3 + 327*h**2 - 42*h - 24 = 0. -4, -1, -2/7, 1/4 Factor -2*b**2 + 280*b - 278. -2*(b - 139)*(b - 1) Factor -3*b**5/4 + 33*b**4. -3*b**4*(b - 44)/4 Determine h so that -h**4 + 5*h**2 - 4 = 0. -2, -1, 1, 2 Factor d**2/2 - 516*d - 1033/2. (d - 1033)*(d + 1)/2 Suppose 40*z**2 + 295*z + 105 = 0. What is z? -7, -3/8 Factor -3*n**4 - 912*n**3 - 91800*n**2 - 2996352*n + 6367248. -3*(n - 2)*(n + 102)**3 Solve 15*a**2 + 1285*a - 430 = 0. -86, 1/3 Solve 5*m**5/2 + 60*m**4 - 315*m**3/2 - 5805*m**2 + 31590*m - 43740 = 0. -18, 3, 6 Factor -4*g**2 + 4*g. -4*g*(g - 1) Factor 2*j**3 + 1382*j**2 + 238048*j - 239432. 2*(j - 1)*(j + 346)**2 Let t**3/5 - 28*t**2/5 + 229*t/5 - 462/5 = 0. What is t? 3, 11, 14 Factor 21*d**2 + 4740*d - 1356. 3*(d + 226)*(7*d - 2) Factor -z**5/5 - 3*z**4/5 - 3*z**3/5 - z**2/5. -z**2*(z + 1)**3/5 Factor u**5/3 - 13*u**4/3 + 17*u**3 - 67*u**2/3 + 28*u/3. u*(u - 7)*(u - 4)*(u - 1)**2/3 Factor -i**3/2 + 24*i**2 - 330*i + 968. -(i - 22)**2*(i - 4)/2 Factor 16*g**3 - 280*g**2 + 137*g - 17. (g - 17)*(4*g - 1)**2 Let -2*t**4/9 + 98*t**3/9 - 1520*t**2/9 + 800*t = 0. What is t? 0, 9, 20 Factor 3*t**4/4 - 3*t**3/2 - 3*t**2 + 3*t/2 + 9/4. 3*(t - 3)*(t - 1)*(t + 1)**2/4 Find s such that -s**2 - 1706*s + 3416 = 0. -1708, 2 Let 2*v**5 + 25*v**4 - 14*v**3 - 13*v**2 = 0. Calculate v. -13, -1/2, 0, 1 Determine k, given that -4*k**2 + 352*k - 7744 = 0. 44 Find o such that 3*o**3/7 + 75*o**2 + 21600*o/7 - 121500/7 = 0. -90, 5 Factor 27*b**2 + 507*b - 114. 3*(b + 19)*(9*b - 2) Factor 3*o**3/5 - 2*o**2 + 8*o/5. o*(o - 2)*(3*o - 4)/5 Suppose -2*m**5/7 - 4*m**4/7 + 6*m**3 - 44*m**2/7 - 40*m/7 + 48/7 = 0. Calculate m. -6, -1, 1, 2 Determine a, given that a**3/7 + 3*a**2 + 135*a/7 + 243/7 = 0. -9, -3 Factor -5*y**4 + 13*y**3 + 29*y**2 - y - 12. -(y - 4)*(y + 1)**2*(5*y - 3) Factor a**2/8 + 29*a/8 - 15/4. (a - 1)*(a + 30)/8 Factor -5*j**4 + 395*j**3 + 15*j**2 - 11
{ "pile_set_name": "DM Mathematics" }
at is 1.5800466 months in years? 0.13167055 What is 3/10 of a litre in millilitres? 300 What is one fifth of a century in months? 240 What is 11/8 of a litre in millilitres? 1375 What is 83.361267ms in hours? 0.0000231559075 What is 1/5 of a litre in millilitres? 200 What is 2263.321 nanograms in kilograms? 0.000000002263321 What is 3.389736 hours in days? 0.141239 How many micrograms are there in thirteen eighths of a milligram? 1625 What is 1/5 of a kilogram in grams? 200 What is 7/4 of a gram in milligrams? 1750 Convert 65.30824l to millilitres. 65308.24 What is 5.817038um in millimeters? 0.005817038 What is 0.8378311ml in litres? 0.0008378311 What is one fifth of a minute in seconds? 12 How many nanograms are there in 57/5 of a microgram? 11400 What is 58877.81mm in nanometers? 58877810000 What is 27590.68 micrograms in milligrams? 27.59068 How many millilitres are there in 21263.7l? 21263700 How many kilograms are there in 5.30913ug? 0.00000000530913 How many nanograms are there in one fifth of a microgram? 200 What is 4.823091 litres in millilitres? 4823.091 What is fourty-five eighths of a litre in millilitres? 5625 What is twenty-three eighths of a millisecond in microseconds? 2875 What is 8.584712um in kilometers? 0.000000008584712 How many centimeters are there in one fifth of a meter? 20 Convert 0.0291899 millennia to months. 350.2788 Convert 48.52899g to milligrams. 48528.99 How many litres are there in 889439.5ml? 889.4395 Convert 872.667 nanoseconds to days. 0.0000000000101003125 What is 2376.501 months in decades? 19.804175 How many nanoseconds are there in 0.4862 hours? 1750320000000 Convert 640893.5 days to hours. 15381444 What is 42/5 of a microgram in nanograms? 8400 How many minutes are there in sixty-seven quarters of a day? 24120 How many decades are there in 733627.4 centuries? 7336274 What is 508407.7 litres in millilitres? 508407700 Convert 940862.4 decades to years. 9408624 What is 10.88248 litres in millilitres? 10882.48 What is 1.623325nm in millimeters? 0.000001623325 How many micrometers are there in 0.1979557mm? 197.9557 What is one quarter of a millennium in months? 3000 Convert 18077.36 kilometers to nanometers. 18077360000000000 How many milligrams are there in 21/8 of a gram? 2625 What is 91/4 of a tonne in kilograms? 22750 How many months are there in 27/4 of a decade? 810 How many months are there in 21/4 of a century? 6300 How many hours are there in 1620.138 minutes? 27.0023 What is 47/4 of a meter in centimeters? 1175 How many milligrams are there in nineteen quarters of a gram? 4750 Convert 6.415722nm to millimeters. 0.000006415722 How many millilitres are there in twenty-nine fifths of a litre? 5800 How many meters are there in 3/40 of a kilometer? 75 How many nanograms are there in one sixteenth of a milligram? 62500 What is 0.9989887 kilometers in nanometers? 998988700000 How many millilitres are there in 8914.927 litres? 8914927 Convert 1991904.6 months to centuries. 1659.9205 What is 5/4 of a litre in millilitres? 1250 Convert 132.4594l to millilitres. 132459.4 Convert 6.897434km to meters. 6897.434 What is 346825.8 months in centuries? 289.0215 How many years are there in 3/10 of a decade? 3 What is 54.80721 micrometers in nanometers? 54807.21 Convert 5.027384ng to tonnes. 0.000000000000005027384 How many minutes are there in 4/15 of a day? 384 How many millilitres are there in 59/5 of a litre? 11800 What is 25/8 of a hour in seconds? 11250 How many centimeters are there in three eighths of a kilometer? 37500 Convert 450169.4l to millilitres. 450169400 Convert 0.2725269 months to decades. 0.0022710575 How many millilitres are there in fourty-five quarters of a litre? 11250 How many micrometers are there in 45/2 of a millimeter? 22500 Convert 41436.58g to tonnes. 0.04143658 What is 9/10 of a litre in millilitres? 900 How many micrograms are there in thirty-three fifths of a milligram? 6600 Convert 381689.5l to millilitres. 381689500 What is 7/4 of a week in hours? 294 How many millilitres are there in thirty-seven halves of a litre? 18500 What is 11/2 of a millennium in years? 5500 What is 158.8328m in centimeters? 15883.28 How many decades are there in seventeen quarters of a millennium? 425 How many minutes are there in seven thirds of a day? 3360 Convert 721597.1ml to litres. 721.5971 How many litres are there in 94444.85ml? 94.44485 How many nanoseconds are there in 84.09488 microseconds? 84094.88 How many months are there in thirty-seven halves of a century? 22200 How many seconds are there in 3/40 of a day? 6480 How many millilitres are there in 25.76071 litres? 25760.71 What is 574.4419 kilograms in milligrams? 574441900 How many months are there in fourty-two fifths of a decade? 1008 Convert 22.789512 microseconds to days. 0.0000000002637675 How many nanometers are there in 27/5 of a micrometer? 5400 Convert 87920.99 litres to millilitres. 87920990 How many seconds are there in 1/15 of a day? 5760 What is one fifth of a decade in years? 2 What is one tenth of a week in seconds? 60480 Convert 1371.062ml to litres. 1.371062 How many millilitres are there in 21/5 of a litre? 4200 How many decades are there in 234154.4 years? 23415.44 How many millilitres are there in 7/2 of a litre? 3500 How many millimeters are there in thirty-seven fifths of a centimeter? 74 What is 0.9648004 years in millennia? 0.0009648004 How many meters are there in one fifth of a kilometer? 200 How many nanograms are there in 18236.88kg? 18236880000000000 What is 1166.66 weeks in hours? 195998.88 Convert 137711.0322 microseconds to weeks. 0.0000002276968125 What is nineteen quarters of a millennium in months? 57000 How many millilitres are there in eighteen fifths of a litre? 3600 How many minutes are there in seventy-one quarters of a day? 25560 What is 388.2087ug in kilograms? 0.0000003882087 How many seconds are there in one fifteenth of a minute? 4 What is twenty-one fifths of a millisecond in microseconds? 4200 How many decades are there in 1/10 of a millennium? 10 How many nanometers are there in 1/20 of a millimeter? 50000 How many months are there in one quarter of a century? 300 What is 4/3 of a century in months? 1600 How many micrograms are there in twenty-one eighths of a milligram? 2625 Convert 40820.42 tonnes to kilograms. 40820420 What is 7/25 of a micrometer in nanometers? 280 How many decades are there in twenty-seven halves of a century? 135 What is 3640.108 litres in millilitres? 3640108 How many litres are there in 48351.84ml? 48.35184 Convert 9193.01 centuries to months. 11031612 How many millilitres are there in 6.448738l? 6448.738 How many millennia are there in 248.6181 months? 0.020718175 How many micrometers are there in eighteen fifths of a centimeter? 36000 What is nine tenths of a millennium in months? 10800 Convert 63709.95 years to decades. 6370.995 What is 6/25 of a meter in centimeters? 24 How many tonnes are there in 170768.6ng? 0.0000000001707686 What is 3890.818 decades in millennia? 38.90818 How many years are there in 0.2371597 millennia? 237.1597 Convert 6.481344 micrometers to meters. 0.000006481344 What is 1/60 of a decade in months? 2 How many grams are there in 72/5 of a kilogram? 14400 What is 91980.61 microseconds in milliseconds? 91.98061 What is 55453.11 centuries in millennia? 5545.311 What is 2330226.9ms in hours? 0.64728525 How many millennia are there in 23548.83 decades? 235.4883 How many days are there in 6878.817ns? 0.0000000000796159375 What is 12.4486 nanoseconds in seconds? 0.0000000124486 What is fourty-six fifths of a litre in millilitres? 9200 Convert 0.5684465ml to litres. 0.0005684465 What is 3/40 of a gram in micrograms? 75000 What is 12866.937 months in millennia? 1.07224475 How many microseconds are there in 351.0485 hours? 1263774600000 What is 48/5 of a micrometer in nanometers? 9600 How many millilitres are there in 17/4 of a litre? 4250 What is 3/25 of a litre in millilitres? 120 What is 3/50 of a century in years? 6 How many months are there in 3/8 of a century? 450 How many litres are there in 177.6437ml? 0.1776437 What is fourty-three quarters of a litre in millilitres? 10750 How many hours are there in one sixth of a week? 28 What is 88/5 of a
{ "pile_set_name": "DM Mathematics" }
w**2 + 94*w - 19264 wrt w. 66206406 What is the first derivative of -216696069*k**2 + 189387131? -433392138*k What is the derivative of -274026497*o**3*t + 13*o**3 - 3*o**2 - 15*o - 3486 wrt t? -274026497*o**3 What is the derivative of -4931928*p**2*y + p**2 - 30*p*y - 93399499*p wrt y? -4931928*p**2 - 30*p Find the second derivative of 24*k**3 + 3988841*k**2 - 10*k - 5512980 wrt k. 144*k + 7977682 What is the second derivative of -10576561*a**3 - 550109*a? -63459366*a Find the third derivative of -19224782*t**3*y + 3*t**2 - 35245*t*y wrt t. -115348692*y What is the second derivative of 1297447*k*y**2 - 993554*k*y + 2*y**2 + 6*y wrt y? 2594894*k + 4 What is the second derivative of -229994*o**3*z - o**3 + 32*o**2 - 693*o*z + 2*o - 154*z wrt o? -1379964*o*z - 6*o + 64 Differentiate -2664862*l + 3016467 wrt l. -2664862 What is the second derivative of 3*i**3 + 120363*i**2 + 172*i - 5053? 18*i + 240726 What is the derivative of -31*g**2 - 55433*g - 2949066? -62*g - 55433 What is the second derivative of 520*m**3 + 123543*m**2 - 190553579*m - 1? 3120*m + 247086 What is the derivative of 90*n**4 + 465*n**3 + n**2 + 3*n - 15397520? 360*n**3 + 1395*n**2 + 2*n + 3 What is the second derivative of 1422*b**3*t**2 + 103*b**3*t - 29*b**2*t - 3*b**2 - 4738*b*t**4 - 2*b*t - 2*b - 2 wrt t? 2844*b**3 - 56856*b*t**2 What is the derivative of -1165480*o**2 + 17363222 wrt o? -2330960*o Find the third derivative of -26*h**5 - 2034237*h**4 + 77028460*h**2 wrt h. -1560*h**2 - 48821688*h What is the second derivative of -15607067*p**2 - 7408*p - 16541? -31214134 Differentiate 184951569*l**3*r*y - 2*l**3*y - 886*l**3 - 10*l**2*y - 188*y with respect to r. 184951569*l**3*y Find the second derivative of -1057*x**4 - 592*x**3 - x**2 + 47145643*x. -12684*x**2 - 3552*x - 2 What is the second derivative of 126125*c**5*l*y - 15*c**2*l*y - 4*c*l*y + 21*c*y - 1158*l wrt c? 2522500*c**3*l*y - 30*l*y What is the second derivative of -3596*w**5 - 178*w**4 + 6283884*w wrt w? -71920*w**3 - 2136*w**2 What is the derivative of -7*h**3*j*m + 10*h**3*m + 973164*j*m**2 + 340787*m**2 wrt j? -7*h**3*m + 973164*m**2 What is the first derivative of -16725681*n**4 - 16227924? -66902724*n**3 Find the third derivative of -4*d**2*s**3 - d**2*s**2 - 17*d**2 - 643772*d*s**3 + d - 37504*s wrt s. -24*d**2 - 3862632*d What is the third derivative of -1719341*j**3 - 7*j**2 - 502*j + 699? -10316046 What is the derivative of 9428390*l - 11274853 wrt l? 9428390 What is the third derivative of -819*k**6 + 243991*k**3 - 5*k**2 - 13*k + 9106? -98280*k**3 + 1463946 Differentiate -222142994*h**2 - 404310226. -444285988*h Find the first derivative of -10140*w*z**2 - 123*w*z + 1644094*z**2 wrt w. -10140*z**2 - 123*z Find the first derivative of -30980877*a*j**3*p - 3*a - j**3 - 1660833*j wrt p. -30980877*a*j**3 What is the second derivative of -1372522*d**3 + 64*d**2 - 2*d - 12759389? -8235132*d + 128 Find the second derivative of 704*u*z**3 + 3*u*z**2 - 492*u*z + 782*z**3 + z**2 - 41001 wrt z. 4224*u*z + 6*u + 4692*z + 2 Find the second derivative of 8927739*w**3 + 235682660*w + 2 wrt w. 53566434*w Find the first derivative of 129118612*q**2 - 23856981 wrt q. 258237224*q Differentiate -34500847*f*n + 5457572*f wrt n. -34500847*f What is the first derivative of 2*f**2*h + 13*f**2*r - 7132367*f*h*r + f*h*w**2 - 11201*f*r*w**2 + 2*f*w**2 - r*w**2 - 3 wrt h? 2*f**2 - 7132367*f*r + f*w**2 Find the second derivative of 20242*o**2*s**2 + 220*o**2 + o*s**2 + 11279*o*s - 2*s**2 - 13*s + 1 wrt o. 40484*s**2 + 440 What is the third derivative of 148*l*p**3*w - 729*l*w**3 - 4*l*w**2 - 2*l*w - 11250*p**3*w**3 - p*w**2 - 569*p wrt w? -4374*l - 67500*p**3 Find the first derivative of -d**2*r + 2*d**2 + 2*d*r - 3433*d + 12178944*r wrt d. -2*d*r + 4*d + 2*r - 3433 Differentiate 1002747357*a**3 - 402078037. 3008242071*a**2 What is the third derivative of -2720*c**5*t**2 + 631*c**5 + 505873*c**2 - t**2 wrt c? -163200*c**2*t**2 + 37860*c**2 What is the second derivative of 2*q**5 + q**3 - 1645113*q**2 + 7283450*q wrt q? 40*q**3 + 6*q - 3290226 What is the third derivative of -51791*c**5 - 1477*c**3 - 23*c**2 - 591502*c wrt c? -3107460*c**2 - 8862 What is the second derivative of -231172835*g**2*n**2 + 3*g**2 + 2*g*n**2 - 67003248*g*n + 2*g wrt g? -462345670*n**2 + 6 What is the first derivative of 18180975*c*r**3 + 2363782*c wrt r? 54542925*c*r**2 Differentiate -g**2 + 387315*g*l - 6*l - 4464 with respect to g. -2*g + 387315*l What is the second derivative of -121*j**2*x**2 - 9628*j**2*x + 3*j**2 + 36*j*x**2 - 2*j + x**2 - x + 31116 wrt j? -242*x**2 - 19256*x + 6 What is the third derivative of -13671723*l**3*n**3 + 2*l**3 - 2*l*n**2 - 1064986*l wrt n? -82030338*l**3 Find the third derivative of 2*h*p*q**3 + h*p*q - 37*h*q**3 + h*q - 254*h + 49352*p*q**3 - 23*p*q**2 - 163*p wrt q. 12*h*p - 222*h + 296112*p Find the second derivative of -1242*a**4 + 55*a**3 - 5*a**2 - 5670033*a wrt a. -14904*a**2 + 330*a - 10 Find the second derivative of -8891361*f**4 + f + 24722500. -106696332*f**2 What is the derivative of 52136*d**4 + 3*d**3 - 6905370? 208544*d**3 + 9*d**2 What is the second derivative of -475080226*c**2*m + 4*c - 1985397*m + 2 wrt c? -950160452*m Find the third derivative of 359*h**3*i**3*w + 5018*h**3*i*w + 4*h**3*w - 13940*h**2*i**3*w + 2*h*i**2*w - 2*h*i**2 + h*i wrt i. 2154*h**3*w - 83640*h**2*w What is the second derivative of -9022834*z**3 - 2*z**2 - 3570681*z? -54137004*z - 4 Find the second derivative of 7107229*x**2 - 28349987*x. 14214458 Find the third derivative of 6191*a**4 - 55*a**3 - 11421417*a**2 wrt a. 148584*a - 330 Differentiate -9558*j**2*z - 247*j**2 - 19*z + 874591 with respect to j. -19116*j*z - 494*j Find the second derivative of 27266570*a**3*b**2*s**2 - a**3*b*s**2 + 5*a**2*b - a**2 - 54*a*b + 2*b*s**2 + 288*b*s + 3*s**2 wrt b. 54533140*a**3*s**2 Find the second derivative of -13921378*o**3 + 37129465*o wrt o. -83528268*o Differentiate 690557065*n + 857193751. 690557065 Find the second derivative of -5*l**2*u + 38184*l**2 - 11*l*u - 103383*l + u wrt l. -10*u + 76368 Find the second derivative of -36*k**3 + 234447*k**2 - 42038*k + 117 wrt k. -216*k + 468894 What is the third derivative of 953582*g**6*t + 5*g**5*t + 2134951*g**2*t - 3*g*t wrt g? 114429840*g**3*t + 300*g**2*t Differentiate 1257238793*z**4 + 4008015 wrt z. 5028955172*z**3 What is the first derivative of -108*s**4 + 4801*s + 6375909 wrt s? -432*s**3 + 4801 What is the third derivative of -29*h**4 + 1132071*h**3 + h**2 + 7855*h + 1750? -696*h + 6792426 What is the second derivative of 37313723*o**2 + 274458909*o wrt o? 74627446 What is the third derivative of 1695289*f**5 + 6*f**3 + 14131812*f**2 wrt f? 101717340*f**2 + 36 Find the third derivative of 44381290*k**3 + 13723355*k**2. 266287740 What is the second derivative of 2194*u**5 - 11*u**4 - 193*u**2 - 50451229*u wrt u? 43880*u**3 - 132*u**2 - 386 What is the second derivative of 7086738*t**4 + 5283608*t? 85040856*t**2 What is the third derivative of 23555468*f**5 + 11520701*f**2? 1413328080*f**2 Differentiate -25*c*g*h + 3*c*g - 2*c*h - 2799733*c - 291254*g*h - 2*g - 3*h - 3 wrt h. -25*c*g - 2*c - 291254*g - 3 What is the third derivative of 1317808*i**3*s**2 - i**3*s*v + 266*i**2*s**2*v + 77*i**2*s*v + 2*s**2*v + 25*s wrt i? 7906848*s**2 - 6*s*v Find the third derivative of 2429292*p**3 + 32*p**2 + 614*p - 16. 14575752 Find the third derivative of 3284*d**3*p**2*r*w + 1947*d**3*r*w + 17*d**2*p**2*r*w - d**2*p**2 - 427*d**2*r*w + d**2*r - 5*d*p**2 - 2*d*w + 2*r wrt d. 19704*p**2*r*w + 11682*r*w What is the third derivative of -989241952*s**3*t**2 + 2*s**2*t**2 + 2*s**2*t - 244*s - 12258*t + 2 wrt s? -5935451712*t**2 Find the second derivative of -33515*j**3*s**5 - 39*j**3*s + 10620*j**3 + 14*s**5 wrt s. -670300*j**3*s**3 + 280*s**3 What is the derivative of 330*h**2*p + 11*h**2 + 56*h*p - 14*h - 18300258*p wrt h? 660*h*p + 22*h + 56*p - 14 Find the first derivative of 11125358*b**2 - 14426020 wrt b. 22250716*b What is the second derivative of -26306334*h**4 + 6760776*h - 4? -315676008*h**2 What is the third derivative of -940*a**5 + a**4 - 7385*a**3 - 3659459*a**2? -56400*a**2 + 24*a - 44310 Find the third derivative of -14660747*n**5 - n**3 + 40740950*n**2 wrt n. -879644820*n**
{ "pile_set_name": "DM Mathematics" }
xxx. What is prob of picking 1 x and 3 l? 14/765 What is prob of picking 2 e when two letters picked without replacement from {e: 5, t: 3}? 5/14 Three letters picked without replacement from ddddddddddddiidddd. What is prob of picking 3 i? 0 Four letters picked without replacement from {o: 3, p: 9, f: 5, k: 3}. What is prob of picking 1 o and 3 k? 1/1615 Calculate prob of picking 1 v, 1 s, 1 g, and 1 a when four letters picked without replacement from vsgvga. 4/15 Four letters picked without replacement from vvvvzvzmvvvzvzvfvw. Give prob of picking 3 z and 1 w. 1/765 What is prob of picking 2 i when two letters picked without replacement from iayayyyylyiyyyhhyya? 1/171 Two letters picked without replacement from {j: 2, o: 1, v: 1, c: 3}. What is prob of picking 1 c and 1 v? 1/7 What is prob of picking 1 m, 1 v, and 1 d when three letters picked without replacement from {v: 2, d: 1, g: 2, m: 4}? 2/21 Calculate prob of picking 3 m when three letters picked without replacement from {c: 5, m: 4, u: 2}. 4/165 What is prob of picking 1 a and 2 y when three letters picked without replacement from {a: 4, y: 6}? 1/2 Four letters picked without replacement from mxxxmxxxxmx. What is prob of picking 2 x and 2 m? 14/55 Calculate prob of picking 1 s and 2 q when three letters picked without replacement from {p: 4, q: 2, s: 1}. 1/35 What is prob of picking 2 s when two letters picked without replacement from {d: 8, s: 3}? 3/55 Two letters picked without replacement from {f: 3, u: 2, k: 7}. Give prob of picking 1 k and 1 u. 7/33 What is prob of picking 1 j and 1 f when two letters picked without replacement from fmjxjacfffcc? 4/33 Four letters picked without replacement from {w: 5, v: 7, o: 7}. What is prob of picking 4 v? 35/3876 Calculate prob of picking 1 k and 2 l when three letters picked without replacement from mmklkmmmmmvkklmm. 1/140 Two letters picked without replacement from {k: 3, u: 1}. Give prob of picking 2 k. 1/2 Two letters picked without replacement from {t: 1, p: 2, h: 2, m: 1}. Give prob of picking 1 m and 1 h. 2/15 Calculate prob of picking 3 e when three letters picked without replacement from {e: 5, t: 5}. 1/12 What is prob of picking 1 k and 1 m when two letters picked without replacement from mwmkwbmmmbmw? 1/11 What is prob of picking 4 f when four letters picked without replacement from frfffrrfrfrf? 7/99 Four letters picked without replacement from fneffnfefneeffneefff. What is prob of picking 2 n and 2 f? 18/323 Calculate prob of picking 1 g and 1 w when two letters picked without replacement from wwghwlghthw. 8/55 Calculate prob of picking 1 j, 1 b, and 1 t when three letters picked without replacement from {b: 2, i: 2, j: 4, t: 5}. 20/143 Two letters picked without replacement from xeeeexee. Give prob of picking 2 x. 1/28 Four letters picked without replacement from bfbxbfrfffbnv. What is prob of picking 1 b, 1 n, 1 x, and 1 f? 4/143 Four letters picked without replacement from {a: 1, j: 6, n: 3, t: 4, v: 1}. Give prob of picking 1 a, 2 n, and 1 t. 4/455 Two letters picked without replacement from nnzqivziwqvvvzi. What is prob of picking 2 i? 1/35 Three letters picked without replacement from xbbbbbbxbbbx. Give prob of picking 3 x. 1/220 Three letters picked without replacement from {d: 1, o: 6, u: 4, v: 7}. Give prob of picking 2 v and 1 u. 7/68 Three letters picked without replacement from sksstkkss. What is prob of picking 1 s and 2 k? 5/28 What is prob of picking 1 g and 1 j when two letters picked without replacement from {g: 1, j: 3}? 1/2 Calculate prob of picking 3 h when three letters picked without replacement from hhfhfhh. 2/7 Three letters picked without replacement from zlyyykyk. What is prob of picking 2 y and 1 z? 3/28 What is prob of picking 2 y and 1 l when three letters picked without replacement from {y: 2, e: 7, g: 1, b: 4, t: 5, l: 1}? 1/1140 What is prob of picking 1 v and 1 o when two letters picked without replacement from ahvvavoakaaoa? 1/13 Three letters picked without replacement from {l: 8, s: 4, e: 2, d: 2}. What is prob of picking 3 l? 1/10 Calculate prob of picking 1 b, 1 c, and 2 x when four letters picked without replacement from {x: 2, b: 1, s: 2, d: 2, c: 1, f: 4}. 1/495 Calculate prob of picking 1 f and 1 d when two letters picked without replacement from {v: 2, t: 2, k: 4, d: 2, f: 4, s: 5}. 8/171 Four letters picked without replacement from {s: 3, o: 13}. What is prob of picking 1 s and 3 o? 33/70 Four letters picked without replacement from ffflsflslcwff. Give prob of picking 2 s, 1 l, and 1 f. 18/715 Calculate prob of picking 1 f and 1 p when two letters picked without replacement from pfffgffvfmpvpmcgfv. 7/51 Three letters picked without replacement from xxjsjsssxsxs. What is prob of picking 1 x and 2 s? 3/11 Three letters picked without replacement from {c: 9, p: 5, l: 2}. What is prob of picking 1 p, 1 c, and 1 l? 9/56 What is prob of picking 2 o when two letters picked without replacement from {o: 3, e: 5}? 3/28 Calculate prob of picking 1 a and 1 f when two letters picked without replacement from foaraybr. 1/14 Calculate prob of picking 1 j, 1 e, and 2 d when four letters picked without replacement from ejidahh. 0 Calculate prob of picking 2 b when two letters picked without replacement from wqqobjbg. 1/28 Calculate prob of picking 1 r and 1 i when two letters picked without replacement from irr. 2/3 What is prob of picking 1 s and 3 l when four letters picked without replacement from wllwrwdwdlslwswl? 1/91 What is prob of picking 1 z, 1 p, 1 e, and 1 a when four letters picked without replacement from {z: 2, a: 1, u: 4, e: 2, p: 1, i: 5}? 4/1365 Four letters picked without replacement from kdddkddodkddddkdk. What is prob of picking 2 d and 2 k? 55/238 Three letters picked without replacement from {n: 3, h: 10, l: 2, w: 5}. Give prob of picking 2 h and 1 w. 15/76 Three letters picked without replacement from mmmmjmj. Give prob of picking 3 m. 2/7 What is prob of picking 1 a and 1 s when two letters picked without replacement from taajsaaaajjjtjaa? 1/15 What is prob of picking 2 e when two letters picked without replacement from eeeepeoee? 7/12 What is prob of picking 2 e when two letters picked without replacement from {t: 6, i: 1, w: 3, a: 2, d: 2, e: 5}? 10/171 What is prob of picking 1 t and 1 y when two letters picked without replacement from yuuuxtxxbxtuuxu? 2/105 Two letters picked without replacement from {w: 4, u: 6}. Give prob of picking 2 w. 2/15 Calculate prob of picking 1 p and 1 y when two letters picked without replacement from yphp. 1/3 What is prob of picking 2 n and 1 o when three letters picked without replacement from ytooozn? 0 What is prob of picking 2 k when two letters picked without replacement from {k: 6, g: 2, w: 7}? 1/7 Calculate prob of picking 2 a when two letters picked without replacement from {g: 3, z: 2, v: 6, a: 8}. 28/171 What is prob of picking 2 n when two letters picked without replacement from {q: 15, n: 4}? 2/57 Three letters picked without replacement from nsbbbbsbbncncbnbcbn. What is prob of picking 2 n and 1 c? 10/323 What is prob of picking 1 t and 1 f when two letters picked without replacement from fwnwntnuwt? 2/45 Three letters picked without replacement from phpdrdrc. What is prob of picking 1 r and 2 p? 1/28 What is prob of picking 1 k and 1 t when two letters picked without replacement from txkxtxytsyyxy? 1/26 What is prob of picking 2 e when two letters picked without replacement from srrscrsrrresssmrresm? 1/190 Two letters picked without replacement from {s: 1, u: 1, n: 1, c: 2, o: 2}. Give prob of picking 1 o and 1 s. 2/21 Three letters picked without replacement from {f: 5, p: 2, r: 2, d: 1, e: 2, o: 5}. Give prob of picking 1 o, 1 d, and 1 p. 1/68 What is prob of picking 4 q when four letters picked without replacement from qxnfnqlqfqrllrnlqq? 1/204 Two letters picked without replacement from uhuuhuhuhu. What is prob of picking 2 h? 2/15 Two letters picked without replacement from {z: 4, m: 7, v: 3, d: 1, o: 4}. Give prob of picking 1 m and 1 z. 28/171 Four letters picked without replacement from qqqquvuu. What is prob of picking 1 u and 3 q? 6/35 Calculate prob of picking 1 f and 1 e when two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
6 (b) 2 (c) 4/7 (d) 12 c Which is the nearest to -1.32? (a) 1 (b) 0.05 (c) -3/8 (d) -3 c Which is the closest to 18202? (a) 4 (b) 0.2 (c) -0.1 (d) -2 a Which is the closest to -1/3? (a) 2 (b) -0.1 (c) 0.06 (d) 84 b What is the closest to -1741 in 3, 3/11, -1? -1 What is the closest to 2 in -1, 3, 22, 0.1, 7/4? 7/4 What is the nearest to -405 in 0.57, 0.1, 4? 0.1 What is the nearest to 29/7 in -1/4, 1/10, -4? 1/10 What is the closest to 2/7 in 0.13, 2.1, -19/4, -4, -1/8? 0.13 Which is the nearest to 3/2? (a) 3 (b) 1/159 (c) 37 (d) 1 d Which is the nearest to 1/4? (a) 3 (b) -63 (c) -2/19 (d) -0.1 (e) -1.43 d What is the closest to 0.36 in -1, -0.668, 5/3? -0.668 What is the nearest to 10 in 0.2, 4, -17, -5/6, -0.5? 4 What is the closest to -184 in -2/61, 0.2, 3? -2/61 What is the nearest to -0.3 in 7, 2/7, -5, 41? 2/7 What is the nearest to -1 in 3, -3/8, 3/2, -4? -3/8 What is the closest to -1 in 1.2, -2, -595, 5? -2 Which is the nearest to -1/4? (a) -1/3 (b) 2/11 (c) 213 (d) -44 (e) 4 a Which is the closest to -64? (a) -1 (b) -1/4 (c) 0.02 (d) -0.3 a What is the closest to 0.1 in 124, 5/4, -1, 41? -1 What is the closest to -0.08 in 3, 389, -5? 3 Which is the nearest to 0? (a) -91 (b) 3 (c) -0.5 (d) 47 (e) 2/5 e Which is the nearest to 38340? (a) -2/11 (b) 0.03 (c) -0.4 (d) 2 d Which is the nearest to -0.3? (a) 10 (b) 49 (c) -54/11 c Which is the closest to 7? (a) 6 (b) -0.032 (c) -0.06 (d) 1 a What is the nearest to 0.1 in 10, 3, 2/5, 5? 2/5 Which is the nearest to -0.18? (a) -3 (b) 3/14 (c) -3/5 (d) 4 b Which is the closest to -429? (a) 0.008 (b) -4 (c) -2 b Which is the nearest to -0.1? (a) -12 (b) -0.2 (c) -5.2 b What is the nearest to 1 in -1/7, -4, -2/27, 3/10, -0.5? 3/10 What is the nearest to 3/7 in -0.05, -148, -0.2? -0.05 Which is the nearest to 2/5? (a) 0.8 (b) 2444 (c) 3 (d) -1/5 a What is the closest to -1 in 2/5, 1, -0.19, -7, 1/2? -0.19 What is the nearest to 0.2 in 0.35, 2, 1952? 0.35 What is the nearest to 0 in -2/6805, -4, 16? -2/6805 What is the closest to -68 in -4, 3, 2/3, -2/23? -4 What is the nearest to -1/3 in -4.33, -4, -2, -1, -3? -1 Which is the closest to -0.2? (a) -1 (b) 9 (c) -19 (d) 7/5 (e) 24 a What is the closest to -11 in 0.1, 158, 12? 0.1 Which is the closest to 0.03? (a) -0.7 (b) -221 (c) 1/5 c Which is the nearest to 9? (a) -21/8 (b) 3 (c) 2/7 (d) 1/8 b What is the nearest to 0 in -1555, -0.2, -2? -0.2 What is the closest to -0.4 in 3/7, 0, -327, -2/9, 0.1? -2/9 Which is the nearest to 2? (a) -0.23 (b) -2/9 (c) -7 (d) 0.08 (e) -0.3 d What is the nearest to -356 in -3/2, 4.8, -0.2, -1, -0.1? -3/2 What is the closest to 1 in 5, 87.7, -2, 1/3, -1/2? 1/3 What is the nearest to -0.2 in -3/8, 0.0589, -0.2, 2/11, -15? -0.2 What is the closest to 2/3 in -4, -14.9, -1, -104, -1/5? -1/5 Which is the closest to 0.7? (a) -64 (b) 0.4 (c) 5/2 (d) 0.04 (e) -0.4 b Which is the nearest to 1/3? (a) 0.16 (b) -4 (c) 4 (d) 1.2 (e) -2/3 a What is the closest to -1 in 0.05, 17, 8/5, 2/9? 0.05 Which is the nearest to -0.06? (a) -3 (b) 1.51 (c) 1 c Which is the closest to 3? (a) 0 (b) -4/13 (c) -8 a Which is the closest to -27? (a) -0.1 (b) -2 (c) -23 c Which is the closest to -0.1? (a) -157 (b) 0.1 (c) -9 (d) -3 b What is the closest to 1/2 in -31, 0.4, 405, -5, -2? 0.4 Which is the nearest to -1? (a) 29/2 (b) 30 (c) -2/15 (d) 4/5 c What is the nearest to -4 in -9117, 1, 6, -0.5? -0.5 What is the nearest to 184 in -2/9, -1/5, -0.1, 6, 0.1? 6 Which is the closest to 1? (a) -1/4 (b) 21 (c) 49/15 a What is the closest to 5 in -5/2, -0.05, 0.3, 31, 4? 4 Which is the closest to 9? (a) -1936 (b) -1 (c) 5 c What is the nearest to -2/17 in 3/5, -0.1, 0.1, -1.374, 2? -0.1 Which is the nearest to 0? (a) 1 (b) 4 (c) -214 (d) 5/7 d What is the nearest to -57 in -2, -3/10, -1/3, -0.03? -2 Which is the closest to 2/3? (a) -11 (b) 0.4 (c) 2/13 (d) 1 b Which is the closest to 2/5? (a) 0.5 (b) 4 (c) 1/4 (d) -8 (e) 8/9 a Which is the closest to 0.1? (a) -2 (b) -0.2 (c) 24 (d) 13 b Which is the closest to -1.2? (a) 0.05 (b) -4 (c) -0.12 c What is the nearest to -10/13 in -1/3, 1, -2/5, -712? -2/5 Which is the closest to 0.1? (a) -92 (b) 6/7 (c) -0.1 (d) -0.3 c Which is the nearest to 0.9? (a) 0.4 (b) -1 (c) -5048 (d) 4 a What is the nearest to -2/7 in 0.3, 3, 0.04, -2/3, -1/249? -1/249 What is the nearest to 2/3 in 0.9, -2/11, 2, -3/47? 0.9 What is the closest to 4 in 146, -134, -0.3, -4? -0.3 What is the closest to -7 in -701, 4, 0.3? 0.3 Which is the nearest to 0.38? (a) -1/5 (b) -0.3 (c) 1258 a Which is the closest to -0.23? (a) -2/3 (b) -13 (c) -3 (d) 0.5 a What is the nearest to 250/9 in -1, 15, -1/5, -0.5? 15 Which is the closest to 0.1? (a) 225 (b) -11 (c) -0.5 (d) 0 d Which is the nearest to -2? (a) -1 (b) -1/4 (c) -33 (d) 22 (e) 3 a Which is the closest to 6? (a) -22 (b) 1 (c) -0.17 b Which is the closest to 0.1? (a) -0.59 (b) -0.11696 (c) 3 b Which is the closest to 0? (a) 409 (b) -1/4 (c) 2/9 (d) -5/2 c What is the nearest to -137 in -5, -2.5, -1/2? -5 Which is the nearest to 83? (a) 1/2 (b) -5 (c) -0.02 (d) 14 d Which is the closest to 10? (a) -0.05 (b) -1/8 (c) -1 (d) 14 d Which is the nearest to -1/2? (a) 2/5 (b) 0.6 (c) 5 (d) -498/11 a Which is the nearest to 2/7? (a) 7 (b) 248 (c) -6 c What is the nearest to 4 in -1/17, -1, 12, -14? -1/17 What is the nearest to -17 in 24/341, 2/3, 2/5, -0.1? -0.1 What is the nearest to 1 in -8/3, 0.41, -38, 0.2? 0.41 Which is the closest to -2.86? (a) 6 (b) -3/4 (c) -4 (d) -6 c What is the nearest to 2/3 in 2/7, -2, 1.0598? 2/7 Which is the closest to 1? (a) 5 (b) -0.1 (c) 72/907 c What is the nearest to -2/7 in -0.07, -0.3, -2830, -5, 0.2? -0.3 What is the nearest to 0.2 in 5, 0.5, -13, -0.261? 0.5 What is the nearest to -57 in -11, 3, 0.5, -1, 0.3? -11 What is the nearest to -1 in 4, 42, 0.5, 2/61, 1/6? 2/61 What is the closest to 0.1 in -1, -104/5, 58? -1 Which is the closest to -1/5? (a) -2 (b) -268 (c) -0.4 (d) 4 c What is the nearest to -2 in -6/13, -21, 0.4, 1/6? -6/13 What is the closest to -10/97 in 0.3, 1/4, 2/5, -3/5? 1/4 What is the nearest to -0.046 in 0.2, -2/11, -79? -2/11 What is the closest to -2/7 in 33, 2/9, 2, 3, 0? 0 Which is the closest to 0? (a) -7 (b) 0 (c) 2/5 b What is the nearest to 0.26 in 90.6, -6, -0.3? -0.3 Which is the closest to 4? (a) -1/155 (b) 3 (c) -6 b What is the nearest to 2 in -0.2, -0.3, 401975? -0.2 What is the closest to -2 in -1/66, -240, 2? -1/66 Which is the closest to -0.52? (a) 0.48 (b) 0.1 (c) -0.5 c Which is the closest to -1/3? (a) 0 (b) -0.7 (c) 16 a Which is the closest to 2/305? (a) -4.4 (b) 0 (c) 1.8 b Which is the nearest to -89? (a) -1/3 (b) -3 (c) 4 (d) 2/5 b Which is the nearest to -3/7? (a) -0.5 (b) 2 (c) -5 (d) 35 a Which is the nearest to 0? (a) 2/7 (b) 1/5 (c) 9/244 c What is the nearest to -0.1 in 3/8, 507, 0? 0 What is the nearest to 0 in -3/7, 2/835, 0.41, -1? 2/835 Which is the nearest to 1/4? (a) 684 (b) 25 (c) 2 c What is the closest to -31 in -7, 0.07, -5, 12, -4? -7 Which is the nearest to -14/3? (a) 4 (b) 144 (c) -3 (d) -6 (e) 1/3 d What is the nearest to 0 in 3, 1.87, -86/3? 1.87 What is the closest to -4/73 in 0.3, -59, -0.4? -0.4 Which is the closest to -1/4? (a) 76.4 (b) -1 (c) 2/9 (d) 0 d What is the closest to 3/5 in -4, -163/2, -2/3? -2/3 What is the nearest to 2/3 in 0.3, 4, -1/12, -9/2, -0.11? 0.3 Which is the nearest to -717? (a) 0.09 (b) -1 (c) 0 (d) 0.2 b Which is the nearest to 0.2? (a) 4 (b) -6 (c) 0.031 c What is the nearest to 5/6 in 3, 1/3, -17/12? 1/3 What is the nearest to -1/3 in 2/13, -1, -15? 2/13 What is the nearest to 13/3 in -1/5, -2, -0.4, 0.4? 0.4 Which is the closest to 2? (a) -0.2 (b) -744 (c) -6.2 a What is the closest to -2/151 in -4, 0.04, 1/13? 0.04 Which is the nearest to 2? (a) 7/3 (b) -1/9 (c) 4 (d) 12 (e) 0.046 a Which is the nearest to -66/17? (a) 0.3 (b) 13 (c) 5 (d) -0.8 d What is the closest to 1/2 in 0.5, 0.04, 4, 3/5, 897? 0.5 Which is the nearest to 1/4? (a) -0.75 (b) -1 (c) 2 (d) 1/4 d What is the nearest to -0.1 in -4, 0.21, -15/4
{ "pile_set_name": "DM Mathematics" }
vide h? True Let n = -7 - -9. Suppose 2*t = -2*g + 6, 3*t - 12 = -n*g - 2*g. Suppose -g*j + 22 = -74. Does 8 divide j? True Let r = -364 - -1787. Is r a multiple of 150? False Let b(j) = -21*j - 32. Is b(-14) a multiple of 5? False Suppose 77 + 91 = -7*x. Let p = -1 - x. Suppose -5*l + 27 = -p. Is l a multiple of 2? True Does 64 divide ((-8)/12)/(1/15)*-32? True Suppose -63 = 10*c - 13*c. Is 3 a factor of c? True Let v = 21 + -17. Suppose -41 = -q - k, -v*q - k + 100 = -79. Suppose -4*m - q = -6*m. Does 11 divide m? False Let p be 175/8 + 9/72. Let a = p - 26. Is (-18 + 4/a)/(-1) a multiple of 8? False Let u = 16906 + -11706. Is u a multiple of 20? True Suppose -8 = -2*h, 0 = 3*u + h + 3 + 2. Let m = u + 7. Is m a multiple of 2? True Is 28 a factor of (-8)/1 + (-17 - -837)? True Let h = -510 - -2334. Does 48 divide h? True Is (-23 + 18)*(2748/(-15) - -2) a multiple of 17? False Suppose 5 + 133 = 3*j. Let w = j + -8. Let g = 54 - w. Is g a multiple of 4? True Suppose 3*u = -3*j + 5*u + 9, -5*j = -5*u - 15. Suppose 0 = -4*k - 5*c + 90, -j*c + c = 3*k - 64. Does 3 divide k? False Let g(v) = 3*v**2 + 23*v - 2. Is 10 a factor of g(5)? False Let s(i) = -29*i - 206. Is s(-26) a multiple of 47? False Let p(f) be the first derivative of -f**5/20 - 2*f**4/3 + 3*f**3/2 + f**2 + 2*f - 5. Let h(b) be the first derivative of p(b). Is h(-9) a multiple of 2? True Suppose 2*j = 3*x + 4*j - 1795, -5*x + 2950 = -5*j. Is 17 a factor of x? True Let j = 21 + -13. Is 22 a factor of 526/j - 5/(-20)? True Let p(l) = 2*l - 8. Let a be p(8). Suppose 4*n - a*n = -552. Is 14 a factor of (4/12)/(2/n)? False Let m be -1 + -2 + 1 + 6. Let f be m/(-18) + (-1059)/(-27). Suppose 3*z = 6*z - f. Does 4 divide z? False Let q(g) = 56*g - 7. Does 9 divide q(6)? False Let d(s) = -s**2 + 20*s - 49. Does 4 divide d(12)? False Let a(m) be the third derivative of 0*m - 5*m**2 + 0 - m**3 - 5/8*m**4. Is 13 a factor of a(-3)? True Let v = 57 + -39. Suppose -i + 3 = v. Is (140/25)/((-6)/i) a multiple of 3? False Let h(x) = 2*x**3 - 8*x**2 + 23*x - 38. Does 26 divide h(5)? False Let f(c) = 30*c**3 - 2*c**2 + 5*c - 2. Does 31 divide f(1)? True Suppose 462 = 7*g - 10*g. Let d = 226 + g. Does 11 divide d? False Is (14/8)/((-18)/(-2448)) a multiple of 7? True Let y = -54 + 126. Let p = y + -18. Is 9 a factor of (-3 - 1)*p/(-8)? True Let c = 132 + -57. Is 60 a factor of 40/(-25)*c/(-2)? True Suppose 0 = 21*o - 26*o - 4*t + 1033, o + 2*t = 209. Does 10 divide o? False Suppose 4*k + 52 = 5*u, k + k + 30 = 3*u. Suppose 3*f + u = 20. Suppose -43 = -f*s + 5*p + 147, -2*s = -4*p - 92. Is 10 a factor of s? True Does 5 divide (-1992)/(-42) - (-6)/(-14)? False Let p = -1090 + 1927. Is p a multiple of 93? True Let f = -212 - -352. Does 52 divide f? False Let s(v) = -v**3 + 12*v**2 - 12*v + 5. Let f be s(5). Suppose b - f = 106. Does 48 divide b? False Suppose -20*r + 112 = -18*r. Suppose 0 = -h + r - 47. Is h a multiple of 9? True Let v be (20/4 + -2)/(-1). Let m = v + 15. Let n = -3 + m. Is 8 a factor of n? False Let n(t) = 3*t**2 + 14*t + 96. Does 74 divide n(-16)? False Let f = 6 + -14. Let v be f/(-36) - 86/(-18). Suppose -2*c - 4*p = 4 - 44, c + v*p - 23 = 0. Is 6 a factor of c? True Let l be (-6)/(-2) - 24*2. Let g = l + 21. Let p = 52 + g. Is 18 a factor of p? False Let p = -3938 + 6017. Does 99 divide p? True Suppose -2*m - 4*h = 11 - 5, 5*h = m + 3. Let n be 4 - (3 - (m - -6)). Does 6 divide 1*(n + -22)*-1? True Let t = -2 - -4. Let s(d) = -d**3 + d**2 + 2. Let p be s(t). Does 9 divide p - -1*(-39)/(-1)? False Let f = 328 + -311. Is f a multiple of 17? True Let j be (-1 + 157)*(-1)/(-2). Suppose 0*g + j = g. Is g a multiple of 26? True Let y(c) = c**2 + 10. Suppose -2*u - 5*l = 0, -4*l + 14 + 2 = 0. Is 22 a factor of y(u)? True Let p(m) = 3*m - 13. Let x be p(6). Suppose -4*d = -2*k - 288, -k + x*k = 5*d - 357. Is 17 a factor of d? False Suppose -5*a = a + 12. Let s(c) = c - 3*c - 4*c. Is s(a) a multiple of 12? True Suppose -3*i + 6 = -0*i. Suppose 0*q + 3*q + 4 = 4*l, 0 = -i*q - 2*l + 16. Let s = q - -3. Is s even? False Suppose -3*f = -2*f - 11. Suppose -9*i + f*i = 618. Suppose -4*g + 208 + 42 = -3*c, -5*g + i = -2*c. Is g a multiple of 17? False Suppose -h + 3 = -6*h + 3*s, 3*h + 5 = s. Let d be h/(0 + 2/2). Let p(c) = -c**3 - c**2 + 5*c + 3. Is 5 a factor of p(d)? False Suppose 12*l - 29910 = -5178. Does 23 divide l? False Let h be 15/((2/50)/((-8)/(-20))). Let y = h - 12. Is 24 a factor of y? False Let x = -69 - -77. Suppose -10*i + 446 = -x*i - 4*n, 5*i + n - 1115 = 0. Is 38 a factor of i? False Suppose -s = -o + 57, -2*s - 3*o = -s + 49. Let v = s + 123. Is v a multiple of 16? False Suppose 2*o + 2*o = 0. Let r be o + 9/((-36)/(-560)). Suppose 0 = 4*q - 8*q + r. Is 7 a factor of q? True Let r be (-2)/(-5) + (-124)/10. Let b = -27 - r. Let m = b - -22. Is m a multiple of 3? False Suppose -51 = -3*y - 3*t, -2*y - t + 77 = 2*y. Suppose k = 4*x + x + 7, -5*k + 5 = 5*x. Suppose k*z - y = 8. Is 7 a factor of z? True Suppose 0 = 5*v - 17 - 18. Suppose v = x - 4*l, -5*l + 0*l = 0. Does 2 divide x? False Let p(r) = 10*r**2 - 4*r + 3. Let n(h) = -10*h**2 + 5*h - 4. Let v(j) = 3*n(j) + 4*p(j). Let f be v(-4). Suppose 7*i = 11*i - f. Does 22 divide i? False Let r be (-3)/(-4) + (-452)/(-16). Suppose 0*g = -2*g. Let z = r + g. Does 14 divide z? False Suppose 0 = -3*c - m - 3*m + 10, -5*c + 3*m = -7. Let u = 42 + -42. Suppose -4*s + 22 = -c*y, -3*s + s + 5*y + 31 = u. Is s a multiple of 3? True Suppose 0 = -c + 3*i + 135, 3*i + 2 - 8 = 0. Is c a multiple of 14? False Let p = 0 - -6. Let x(n) = n**3 + 13*n**2 + 19*n - 5. Let u be x(-11). Suppose -2*r = -p*r + u. Is 2 a factor of r? False Suppose 4850 = 5*n - 4*w, -n = 2*w - 411 - 545. Is n a multiple of 34? False Suppose 33205 = 16*r + 10405. Does 25 divide r? True Let b = 85 - 43. Is b + 2*(-3)/2 a multiple of 16? False Suppose -1008 = 9*o - 37*o. Is o a multiple of 4? True Let m(j) = -j**3 - 5*j**2 + 5*j + 8. Let d be (7 - 4) + -1 + 1. Suppose -2*k - 22 = 5*p, -d*k + 9 = -3. Is 14 a factor of m(p)? True Let p(i) = i + 19. Let h be p(6). Let t = h - -15. Is 7 a factor of t? False Let h(p) = -20*p**3 + p**2 + p. Let x be h(-1). Let a = 49 - x. Is a a multiple of 12? False Suppose 0*r = r. Suppose r = 2*l - 23 - 17. Let n = 27 - l. Is n a multiple of 2? False Suppose 2*i - 3 = -3. Suppose 4*g - j - 64 = 0, -2*g + i*j = -3*j - 42. Does 14 divide g? False Let o be (2*1)/(4/10). Suppose 66 = -2*g + 4*g. Suppose 4*f = o*f - g. Is f a multiple of 11? True Let g(y) = -y**3 + 8*y**2 + 10*y - 9. Let h(p) = 9*p**2 + p + 1. Let n be h(-1). Let b be g(n). Suppose b*t - t = -24. Is 12 a factor of t? True Let t(l) = -3*l**2 - l**3 + 9*l + 265 - 252 + 11*l**2. Let a be -2*(27/(-6))/1. Does 4 divide t(a)? False Let v(w) = -2*w - 7. Let x(k) = 2*k - 1. Let n be x(3). Let c(s) = 4*s + 15. Let g(t) = n*v(t) + 3*c(t). Does 5 divide g(10)? True Suppose m - 260 = -5*g, -8*m - g = -13*m + 1378. Does 12 divide m? False Let v(r) = r**2 - 10. Let l be v(0). Let t(x) = -x**3 - 3*x**3 + 3*x**3 - 10*x**2 - 3 + 0*x - x. Does 5 divide t(l)? False Let d be 31251/(-187) + 8/68. Let x be 3/12 - (-858)/(-8). Let v = x - d. Is v a multiple of 20? True Let h(l) = -l**3 - 9*l**2 - 8*l + 2. Let x be h(-8). Suppose -x + 32 = 5*g. Suppose -3*s - 26 = -j - g*s, -2*j - 2*s = -48. Does 6 divide j? False Suppose 4*f = -3*y + 1318, -29 = f + 2*y - 356. Let g = -233 + f. Is 16 a factor of g? False Let d = 23 + 5. Suppose c - 5*c = d. Let j(k) = k**2 - 2*k - 12. Does 26 divide j(c)? False Suppose -2*s = -5*c - 1291, -4*c = 3*s - 530 - 1372. Is s a multiple of 11? True Let d = -16 + 19. Suppose -2*g + 4*g + 4*q = 6, q = 2*g - 26. Suppose d*h = g + 61. Is h a multiple of 12? True Suppose -3*k - l + 425 = 0, 3*k + 2*l - 6*l = 400. Is 35 a factor of k? True Suppose -437 + 25 = -4*l. Let z = l + -70. Is 11 a factor of z? True Let z(u) = -u**2 + 4*u + 12. Let l be z(5). Suppose -l*a + 96 = a. Does 11 divide a? False Suppose 4*s + 3*b = 1091, 4*s = -4*b + 1749 - 661. Is 9 a factor of s? False Let u be (12/(-4) - 0) + -53. Let b = 24 - u. Does 15 divide b? False Suppose 51*o - 39*o = 168. Does 14 divide o? True Let z(x) be the first derivative of 57*x**3 + x**2 + 2*x - 1. Does 19 divide z(-1)? True Let z
{ "pile_set_name": "DM Mathematics" }
0 - 1. Let c be u/(1/(3 - 1)). Let l(k) = -c*k**2 - 4*k**2 + 3*k**2. Let j(m) = -2*m. Calculate l(j(o)). -12*o**2 Let s(l) = l. Let z(o) = 17*o**2 - 9*o - 12*o + 21*o. Calculate s(z(v)). 17*v**2 Let u(l) = -9*l**2. Let x(i) = -i - 2*i + 5*i. What is x(u(q))? -18*q**2 Let n(f) = 9*f**2 - 2*f + 2. Let d(s) = -343*s**2 + 77*s - 77. Let v(m) = 2*d(m) + 77*n(m). Let l(p) = -4*p - 6*p + 14*p - 3*p. Determine l(v(r)). 7*r**2 Let b(v) be the second derivative of 0 + 0*v**2 + v - 1/6*v**3. Let a(s) = 2*s. Give a(b(l)). -2*l Let f(n) = -n. Let o(c) = 30*c - 78*c + 37*c. Calculate f(o(q)). 11*q Let j(m) = 4*m**2 + 9*m. Let k(t) = -t**2 - 2*t. Let h(d) = -4*j(d) - 18*k(d). Let b(g) be the first derivative of 0*g**2 - 1/3*g**3 + 0*g - 1. Give h(b(u)). 2*u**4 Let t(j) = -4*j + 3*j + 2*j + j. Let f(z) be the first derivative of z**3/6 - z + 1. Let o(q) be the first derivative of f(q). Determine t(o(m)). 2*m Let z(p) = 10*p**2 + 5*p + 5. Let c(l) = -9*l**2 - 4*l - 4. Let b(f) = -5*c(f) - 4*z(f). Let m(k) = k**2 - 2*k**2 + 4*k**2. Calculate b(m(i)). 45*i**4 Let k(j) be the third derivative of -j**4/24 - 23*j**2. Let q(x) = 2*x. Determine k(q(p)). -2*p Let f(h) = 3*h**2. Let a(z) = -z**2 + 29. Calculate f(a(u)). 3*u**4 - 174*u**2 + 2523 Let a(f) be the second derivative of f**6/360 + f**3/3 + 5*f. Let d(c) be the second derivative of a(c). Let b(s) = 2*s. Determine d(b(m)). 4*m**2 Let i(t) = 2*t. Let x(z) = -229*z + 3. Give x(i(r)). -458*r + 3 Let h be (14/98)/((-12)/(-14)). Let i(u) be the second derivative of u + 0 + h*u**3 + 0*u**2. Let r(g) = -7*g**2. Give r(i(j)). -7*j**2 Let v be (-2)/(-6)*(1 + 5). Let g(n) = n**2 - 3*n**v - 2*n**2 + n**2. Let p(k) = -k**2 + 1 - 1. Determine p(g(w)). -9*w**4 Let p(s) = s - 1. Let g(u) = 2*u - 4. Let x(c) = -g(c) + 3*p(c). Let y(z) = 5*z + 4. Let h(n) = -4*x(n) + y(n). Let k(q) = q**2. Calculate h(k(d)). d**2 Let w(a) be the first derivative of -a**2/2 - 2. Let g(m) = m**2 + m. Let i(x) = 3 - 7*x - 2 - 1 - 8*x**2. Let t(r) = 14*g(r) + 2*i(r). Determine w(t(b)). 2*b**2 Let j(h) = -25*h. Let g(v) = 5*v. Let i(x) = 11*g(x) + 2*j(x). Let f(w) = w - 3. Let l(a) = 2. Let b(t) = 2*f(t) + 3*l(t). What is i(b(u))? 10*u Let c(w) = -w. Let q(s) = 243*s. What is c(q(h))? -243*h Let a(f) = 6*f + 11. Let p(j) = -100*j. Calculate p(a(n)). -600*n - 1100 Suppose -4 = -2*h - 2*f, 0*h - 4 = 2*h - 2*f. Let o(b) = 0 + 3*b + 0*b + h. Let g(a) = 0*a - a - 2*a. Determine o(g(j)). -9*j Let q = -3 - -5. Suppose -q*d + 6 = 0, -5*m + 2*d = -2*d - 48. Let n(s) = 12*s - 2*s**2 - m*s. Let g(z) = -2*z. Calculate n(g(l)). -8*l**2 Let z(g) = -7*g + 5*g**2 + 7*g + 0*g**2. Let y(r) = -r**2 + r**2 + 2*r**2. Determine y(z(f)). 50*f**4 Let u(m) = m + 5. Suppose -4*l - 6 - 10 = 0. Let t be u(l). Let b(n) = t + 3*n**2 - 2 + 1. Let o(j) = j. Determine b(o(v)). 3*v**2 Let x(r) = 17*r**2. Let y(s) be the first derivative of -s**2/2 + 7. Calculate y(x(c)). -17*c**2 Let w(c) = 5*c - 4*c + 4*c. Let b(t) be the first derivative of -2*t**3/3 + 9. What is b(w(f))? -50*f**2 Let q(b) = 3*b + 2. Let f(k) = 7*k + 5. Let i = -19 + 14. Let p(s) = i*q(s) + 2*f(s). Let h(o) be the first derivative of -2*o**3/3 - 2. Give h(p(z)). -2*z**2 Let h(y) = 21*y**2. Let g(q) = 2*q**2. Give h(g(t)). 84*t**4 Let q(x) = 3*x + 1. Let r(p) = -p**2. Give q(r(s)). -3*s**2 + 1 Let d(m) = 4*m**2. Let x(z) = 672*z. Calculate x(d(k)). 2688*k**2 Let l(c) = -c**2. Let g(q) = -11 - q + 6 + 15 + 4*q. Determine l(g(h)). -9*h**2 - 60*h - 100 Let n(c) = c. Let a(s) be the first derivative of -s**2/2 + 6. Give n(a(g)). -g Let q(t) be the second derivative of -4*t**3/3 + 14*t. Let a(f) = -9*f**2. What is a(q(y))? -576*y**2 Let l(a) = -138 + 138 - 6*a. Let u(o) = -2*o**2. Calculate l(u(w)). 12*w**2 Let r(l) be the second derivative of l**3/3 - 2*l. Suppose 0 = -4*n - 5*a + 41, 0 = -3*a - 4 + 19. Let k(m) = m - n*m + m. Determine k(r(z)). -4*z Let k(y) = 5*y**2. Let m(l) be the second derivative of l**3/2 + 8*l. Determine k(m(h)). 45*h**2 Let q(j) = -7*j - 29 + 29. Let s(l) = -4*l**2. What is q(s(p))? 28*p**2 Let x(h) = 15*h**2 + 20*h - 20. Let q(l) = l**2 + l - 1. Let j(t) = 20*q(t) - x(t). Let n(s) = s**2. What is j(n(m))? 5*m**4 Let l(z) = -z**2. Let i(d) = -18062*d. What is l(i(w))? -326235844*w**2 Let k(b) = -b**2. Let m(w) = 83*w**2. Calculate k(m(a)). -6889*a**4 Let q(f) = -29*f. Let c(a) = -5*a - 13. Give q(c(w)). 145*w + 377 Let s(j) = 3*j**2. Let i(r) = -741*r. Give i(s(w)). -2223*w**2 Let d(c) = 25*c**2. Let l(u) = u**3 - 7*u**2 - u + 9. Let q be l(7). Let n(j) = -q*j - 3*j + j + 3*j. Give n(d(k)). -25*k**2 Let z(v) = v. Let t(b) = -35*b. Give z(t(h)). -35*h Let l(t) = 7*t - 2. Let k(n) = 2*n**2. What is l(k(w))? 14*w**2 - 2 Let i(h) = 12*h - 7. Let o(y) = 8*y - 5. Let k(s) = -5*i(s) + 7*o(s). Let l = -2 - -4. Let w(f) = l*f - 6*f + 2*f. Determine k(w(u)). 8*u Let o = -16 - -18. Let d(i) = -12*i**2 + 6*i**2 + 4*i**o. Let v(m) = 6*m. Let c(w) = 3*w. Let g(t) = -5*c(t) + 3*v(t). What is g(d(k))? -6*k**2 Let f(g) = 2*g**2. Let a(n) = -25*n**2. Determine f(a(l)). 1250*l**4 Let g(r) = 4*r. Let a(q) = q - 1. Let s(i) = 32*i - 20. Let p(n) = -40*a(n) + 2*s(n). Let u(d) = -5*d. Let l(c) = -3*p(c) - 14*u(c). Determine l(g(w)). -8*w Let z(y) = -42*y**2 + 124*y**2 - 41*y**2 - 42*y**2. Let i(o) = -o**2 + 7*o + 2. Let v be i(7). Let g(w) = -w**2 + 2*w**v + w**2. Determine g(z(m)). 2*m**4 Let r(d) = -5*d. Let x(h) = 24*h**2. Give r(x(g)). -120*g**2 Let k(r) = 4*r + 3. Let q(j) = 3*j + 2. Let f(w) = 2*k(w) - 3*q(w). Let d(l) be the first derivative of l**2 - 1. Determine f(d(h)). -2*h Let o be 1/(2 + 6/(-4)). Suppose -7*w + o*w = -20. Let c(i) = -5*i + i + w*i + 6*i**2. Let m(j) = -j. What is c(m(u))? 6*u**2 Let l(m) be the first derivative of 19*m**2/2 + 54. Let u(z) = -z. Let j(h) = -3*h. Let p(t) = -j(t) + 4*u(t). What is l(p(i))? -19*i Let k(v) = v**2. Let i(u) = -u**2 + 3*u + 3. Let o(f) = -4*f**2 + 14*f + 14. Let j be 186/(-12) + 3/2. Let l(s) = j*i(s) + 3*o(s). Determine k(l(c)). 4*c**4 Let q(p) = p. Let b(v) be the first derivative of -2/3*v**3 + 0*v + 0*v**2 - 4. What is q(b(a))? -2*a**2 Let n(z) = z. Let t(q) = 39*q**2 - 4*q + 4. Let v(d) = 118*d**2 - 11*d + 11. Let w(p) = 11*t(p) - 4*v(p). Calculate n(w(j)). -43*j**2 Suppose -h + 12 = 2*h. Let g(a) = 3*a**2 - h + 4. Let m(d) = -12*d**2 - 10*d - 10. Let c(w) = w**2 + w + 1. Let r(j) = -10*c(j) - m(j). What is r(g(v))? 18*v**4 Let g(y) = 2*y**2. Let v(w) = -2 + 2*w + 15 - 48. Determine g(v(b)). 8*b**2 - 280*b + 2450 Let x(y) = 7*y**2 - 35. Let b(l) = 17*l. What is b(x(i))? 119*i**2 - 595 Let l(m) = -6*m. Let u(q) be the second derivative of -q**3/3 + 12*q. Calculate u(l(c)). 12*c Let s(p) = -4*p + 7*p - 6 - 4*p. Let o(k) = 2*k + 17. Let v(y) = -6*o(y) - 17*s(y). Let b(a) = 2*a**2. Calculate b(v(g)). 50*g**2 Let r(z) = 1 + 242*z**2 - 243*z**2 - 1. Let j(h) = -9*h**2. Calculate j(r(n)). -9*n**4 Let z(f) = -2*f**2. Let d(a) = 2*a**2 + 8*a. Suppose 3*w + 3 = 12. Let r(x) = -x**2 - 3*x. Let q(i) = w*d(i) + 8*r(i). Give z(q(k)). -8*k**4 Let h(n) be the third derivative of 0 + 5*n**2 + 0*n**3 + 0*n + 0*n**4 - 1/60*n**5. Let p(q) = -2*q. Calculate p(h(b)). 2*b**2 Let r(n) = 100*n**2. Let a(y) = -5*y. Calculate a(r(j)). -500*j**2 Let z(x) = -x**2. Let h(f) = -3*f + 3. Let w(t) = -1. Let m(v) = h(v) + 3*w(v). What is m(z(q))? 3*q**2 Suppose -25 - 5 = -w. Let j(l) = 30 - 5*l - w. Let h(g) = -g**2. Calculate j(h(v)). 5*v**2 Let a(h) be the second derivative of 0 - 7*h + 0*h**2 - 7/3*h**3. Let n(x) = -x**2. What is a(n(k))? 14*k**2 Let o(g) = -1830*g**2. Let j(r) = 2*r. Give o(j(q)). -7320*q**2 Let s = -1 + 5. Let z(j) = -5*j**2 - s*j**2 + 4*j**2 - 2*j**2. Let c(p) = -2*p. Give c(z(h)). 14*h**2 Let q(k) = -3*k - 4. Let r(d) = 6*d + 9. Let b(w) = 9*q(w) + 4*r(w). Let f(t) = 11*t**2. What is f(b(a))? 99*a**2 Let w(m) = -5*m + 6. Let d(l) = l - 1. Let s be (-3)/(-6) + 1/(-2). Let q = -6 - s. Let p(a) = q*d(a) - w(a). Let b(z) = -z**2. What is p(b(y))? y**2 Let f(r) = r + 2. Let w(a) = 4*a**2. Calculate f(w(l)). 4*l**2 + 2 Let z = 19 - 17. Let t(i) = -189 + 2*i**z + 189. Let s(u) be the third derivative of -u**4/24 + u**2. Determine s(t(o)). -2*o**2 Let l be -8*(3/(-6) + 0). Let t(w) = 2 - l*w**2 + w**2 - 2. Let v(x) = 2*x. Calculate v(t(y)). -6*y**2 Let d(s) = -4*s**
{ "pile_set_name": "DM Mathematics" }
closest to 76? (a) -2/7 (b) 56 (c) 2/11 (d) 4 (e) -0.07 b What is the closest to -17 in 7/4, 1, -47? 1 Which is the closest to 1? (a) 25 (b) 0 (c) 0.3 (d) 0.589 (e) -0.4 d Which is the closest to -1.9? (a) 85 (b) 0.03 (c) 2/7 (d) -2/5 d What is the nearest to 0.024 in 4, -50, 0.01? 0.01 What is the closest to -0.41 in -24, -4, -1, -0.5? -0.5 What is the closest to -683 in 3, -3/2, -2/5? -3/2 What is the nearest to 0.24 in 9/4, 3/2, 0.4, 0.06? 0.4 Which is the closest to 2/3? (a) -2/61 (b) 2/5 (c) 0.1 (d) 1/27 b Which is the closest to -1/4? (a) -2 (b) -524/9 (c) -1.9 (d) -3/8 d What is the nearest to -1 in -0.4, 86, -5, -15? -0.4 Which is the nearest to 26? (a) 4 (b) -1/2 (c) 5/98 a What is the nearest to 2/139 in -0.2, -0.1, -0.3, -4/3? -0.1 Which is the closest to -0.04? (a) 0.174 (b) -0.2 (c) -0.5 (d) 0.008 d What is the closest to 69 in -1.68, -2, 4? 4 Which is the nearest to -0.1? (a) -4 (b) 0 (c) -0.211 b Which is the closest to -1/7? (a) 6 (b) 1 (c) -0.4 (d) -126 c Which is the nearest to 0? (a) 7/12 (b) 2/27 (c) 3/5 (d) 140 b What is the closest to -6 in 5/274, 4/9, -0.4? -0.4 What is the nearest to 2 in -0.088, -11, 2/109, -0.3, 3? 3 Which is the nearest to 131? (a) -0.105 (b) 0 (c) 0.4 c Which is the nearest to 6? (a) 2.59 (b) -0.67 (c) 0 a What is the closest to -1/3 in -2, -6/13, 14/9? -6/13 Which is the nearest to -8? (a) 3 (b) 15 (c) -119 a Which is the nearest to 2/13? (a) -3/8 (b) 3.46 (c) 4 a Which is the nearest to 0.07? (a) -5/4 (b) 808/5 (c) 3/8 c What is the nearest to -2/49 in -4, 18, 11, -2/13, 0.3? -2/13 What is the nearest to -3 in 0.3, -4, -23, -13? -4 What is the closest to 1/4 in -0.01, -14/11, 1/7? 1/7 Which is the nearest to -0.1? (a) -1/31 (b) 4 (c) 1/4 (d) 12 a What is the closest to -2235 in -5/8, 7, 1/2? -5/8 What is the closest to -1 in -11051, 0.2, 1/8? 1/8 What is the closest to -4.2 in -1/5, -4, -4/25? -4 What is the nearest to 3 in -1/14, -1, 0.01, 0.1, -10? 0.1 Which is the nearest to -2/35? (a) -201 (b) 4 (c) 3 (d) 2/5 (e) -4 d Which is the nearest to -0.1? (a) 1/3 (b) 50/91 (c) 2 a Which is the closest to 2? (a) -7 (b) -87.5 (c) 5 c Which is the nearest to 0.1? (a) 1.015 (b) 3/5 (c) 1 (d) -1 (e) -0.04 e What is the nearest to -161 in 2/7, -3, -4, -5? -5 What is the nearest to 1/3 in -4, -5, 13, 43? -4 Which is the nearest to -2/5? (a) -2 (b) -38 (c) 10/41 (d) -3 c What is the nearest to 2 in 21/5, 1/4, 14, 5? 1/4 Which is the nearest to 0.121? (a) 0.4 (b) -4 (c) -10818 a What is the nearest to 6/17 in -0.2, 1, 8, 0.04, 4? 0.04 Which is the closest to -0.1? (a) 4 (b) -3 (c) -5 (d) 7020 b Which is the nearest to 0.018? (a) 3/10 (b) -4 (c) 2 (d) -3 a What is the nearest to 486 in 0.2, 0.5, -1/3, 2/5, -2/15? 0.5 What is the nearest to -3/8 in 5, -4, 0, 0.3? 0 Which is the nearest to -129439? (a) -0.1 (b) -4 (c) -2 b Which is the closest to 2/23? (a) 0.09 (b) -7 (c) 2 (d) -3/4 (e) -1.37 a What is the closest to -1/3 in 0.04, -4, 1728? 0.04 What is the closest to -1 in -10, -430, -5? -5 What is the closest to -398 in 2/5, -2/17, -191, -1? -191 Which is the closest to 0.2? (a) -2 (b) -1/23 (c) 0.145 c What is the closest to -0.1 in 0.0298, 1, 2, -0.5? 0.0298 Which is the closest to 0? (a) -0.8 (b) -1 (c) -2/35 (d) -38 (e) -5 c Which is the closest to 2/11? (a) 4 (b) -11 (c) 5 (d) 0.89 d Which is the nearest to 8? (a) -5 (b) 0.5 (c) -1.1 (d) -0.1 (e) 39/2 b What is the closest to 1 in 0.5, 0.09, -4, -9/2, -0.4? 0.5 What is the closest to -0.0608 in 2/7, -3/5, 1? 2/7 What is the nearest to 3 in -26, -1/4, 0.07, 5? 5 Which is the closest to 8.6? (a) 0.05 (b) 0.2 (c) -0.03 b What is the nearest to 1/2 in 2/3, 3, 2, 1, -5/3046? 2/3 What is the nearest to 0 in -3, -20.4, -1/3, -59/3? -1/3 Which is the closest to 1/6? (a) -0.1281 (b) -1/2 (c) 0.1 c Which is the nearest to -899? (a) 3 (b) -2 (c) -0.05 b What is the nearest to 0.53 in -221, -1/5, 1? 1 What is the nearest to -4 in -0.2, 1/2, 0.23, 0.32? -0.2 Which is the closest to 0.038? (a) -20/9 (b) 5 (c) 4 (d) 2/3 d Which is the nearest to -6805? (a) -5 (b) 5 (c) 7 a What is the nearest to 1 in -269, 0.2, 6/323? 0.2 Which is the closest to -3? (a) -36 (b) -1 (c) 0 (d) 3/2 b Which is the closest to 0? (a) -5/21 (b) -2/7 (c) 2/3 (d) 5 a Which is the nearest to 15? (a) 8/3 (b) -3 (c) -19 (d) -3/5 a What is the closest to -2.6 in 2.2, 0.031, -0.1? -0.1 Which is the nearest to 1? (a) -434/5 (b) -0.06 (c) 4 (d) 62/3 b Which is the closest to -0.2? (a) 1 (b) -5 (c) -116 (d) -1/10 d Which is the closest to -0.1? (a) -873 (b) -2/13 (c) -1 (d) 2 b Which is the nearest to 153? (a) 6 (b) -2 (c) -2/21 (d) 0.09 a What is the nearest to -0.19 in 3/4, -8, -0.2, -4? -0.2 Which is the closest to 7? (a) 2/13 (b) 9 (c) 0.135 (d) 3 (e) -0.05 b Which is the nearest to -1/56? (a) -6 (b) -2/11 (c) -4 (d) -2 b Which is the closest to 8? (a) 7 (b) 12 (c) -0.5 (d) -130 (e) 1 a Which is the nearest to 1? (a) 0.22 (b) -4 (c) -1/3 (d) -0.3 a Which is the closest to -2/3? (a) -1 (b) 1/2 (c) 36 (d) 0.1 a Which is the closest to 6? (a) -0.5 (b) 2 (c) 13 (d) -4.5 (e) -0.7 b Which is the closest to 0.4? (a) 4 (b) -2.715 (c) 0.059 c Which is the nearest to 1? (a) 6 (b) -19 (c) 2/29 (d) 0.2 d Which is the closest to -5/23? (a) 13 (b) 9 (c) 1 c Which is the nearest to 1/5? (a) -0.121 (b) 3 (c) -0.037 (d) -3 (e) -5 c Which is the closest to 0? (a) 6/7 (b) -3 (c) -4/5 (d) -3/139 d What is the closest to -0.1 in 4981, -3, 2/9? 2/9 What is the closest to -121 in 0.11, -1, -6, -0.3? -6 What is the closest to -507 in -0.83, 1, -0.6? -0.83 What is the nearest to 1 in 1, -0.3, -3383/286? 1 Which is the closest to -1? (a) 1/11 (b) -1 (c) 11 (d) 78 b What is the nearest to 0 in 1/3, -34, 0.01, 3? 0.01 What is the closest to -470 in 3, -5, -1/2? -5 What is the closest to -2 in 0, 0.3, 169? 0 What is the closest to 0.9 in 4, 0, -1.01? 0 What is the nearest to 16/9 in -12, -7, 5? 5 Which is the closest to 0.1? (a) -1/3 (b) -3/2 (c) -43 a Which is the nearest to -1/2? (a) -1/3 (b) 1/3 (c) -3/35 (d) -4.4 a Which is the nearest to 0.2? (a) -2/9 (b) 0.16 (c) -0.09 b Which is the closest to 2.521? (a) -16 (b) -1 (c) 0 c What is the closest to -0.09 in 30, 2, -7? 2 Which is the nearest to 0.8? (a) 130 (b) 0.2 (c) 1 (d) 0.4 c What is the closest to -17 in 244, 2, 8? 2 What is the closest to -164 in -1/4, 16.9, 1/5, -0.5? -0.5 What is the nearest to 1/8 in -7075, 3, -0.2? -0.2 What is the closest to -314 in 0.4, 0.2, 0.3? 0.2 What is the closest to -0.2 in -1, 79, -0.11, 0.2? -0.11 What is the closest to -111262 in -2, 0.3, 0.2? -2 What is the closest to -267 in -1/3, 6, 0.5, -2/7, -0.3? -1/3 What is the closest to 1 in 9, -0.3, 0, -0.37, 1/15? 1/15 What is the closest to 0 in 2/11, 1/10, 6, -2/17, -12/7? 1/10 Which is the nearest to 0? (a) 2 (b) 11 (c) 269 a What is the closest to -3 in -18, -0.1, 0.3, -9/4, -3? -3 What is the closest to -2/7 in -2, -544, -7, 2? -2 Which is the closest to -0.21? (a) -10 (b) 5 (c) -2/85 c Which is the closest to -1? (a) 41 (b) 2/421 (c) -11 b Which is the nearest to -2? (a) 3948 (b) -0.9 (c) -5 b What is the closest to 0 in -2, -2/9, 0.4, 1, -146? -2/9 Which is the closest to -18? (a) -0.2 (b) 3 (c) -4 (d) 0.0161 c Which is the nearest to -1.1? (a) -269 (b) -2/9 (c) 2 b What is the closest to 3 in -2, 0.1, -1/152, -13.2? 0.1 Which is the nearest to -0.4? (a) 23/20 (b) 4 (c) -3/10 c Which is the nearest to -0.07? (a) 2/51 (b) 0.4 (c) 4 a Which is the closest to -515? (a) -0.1 (b) 1 (c) -1.7 c Which is the closest to 4? (a) 0.1 (b) 1/4 (c) -4 (d) 3 (e) -0.0283 d Which is the closest to 0.5? (a) -1/6 (b) -5 (c) -20 a Which is the closest to -2? (a) -10 (b) -4 (c) -1 (d) 345 (e) 0.28 c What is the nearest to 3/110 in -0.3, 3/7, 346? -0.3 Which is the nearest to -5? (a) -24 (b) -2/9 (c) 1.15 (d) 2 b Which is the nearest to -18/7? (a) 0.5 (b) 0.1 (c) -1 (d) -2/9 (e) -3 e Which is the closest to 0.3? (a) 0.2 (b) 1 (c) -485 (d) -1/10 a Which is the nearest to 36? (a) -2/5 (b) -4 (c) 1 (d) -3 (e) -2/255 c Which i
{ "pile_set_name": "DM Mathematics" }
(f)? -f**2 - 3 Let r(g) = 16*g**2 + 2*g - 15. Let t(o) = 49*o**2 + 7*o - 44. Give -7*r(x) + 2*t(x). -14*x**2 + 17 Let v(l) = -3*l - 2. Let z(h) = -12*h - 2. Let d(f) = 2*v(f) - z(f). Let w(b) = 5*b - 2. Give -3*d(q) + 4*w(q). 2*q - 2 Let c(h) = h**2 + h - 1. Suppose -1 = y - 2*l, 3*y - 4*l + 16 = 15. Let p(s) = -5*s**3 + s**2 + s - 1. Determine y*c(f) - p(f). 5*f**3 Let d(u) = -3*u**3 - 2*u**2 + 3. Let h(a) = -36*a**2 + 4 - 33*a**2 + 67*a**2 - 3*a**3. Let s be (1 - 2)*(-18)/(-6). Determine s*h(j) + 4*d(j). -3*j**3 - 2*j**2 Let c(x) = -9*x**2 - 7*x - 3. Let z(q) = q + 31. Let a = -135 + 111. Let m be z(a). Let f(l) = -5*l**2 - 4*l - 2. Give m*f(r) - 4*c(r). r**2 - 2 Let y(u) = -3*u**3 + 4*u**2 + 3*u - 2. Let o(b) = -43*b**3 + 41*b**3 + 4*b - 2 + 3*b**2 + 2 - 2. Determine 4*o(d) - 3*y(d). d**3 + 7*d - 2 Let t(p) be the second derivative of p**3 + 7*p**2/2 + 2*p - 12. Let s(j) = -2*j + 8. Let k be s(6). Let g = k + 3. Let d(n) = n + 1. Give g*t(v) + 5*d(v). -v - 2 Let t(r) = -14*r - 87. Let b(o) = 26*o + 174. Calculate 6*b(s) + 11*t(s). 2*s + 87 Let o(j) = -3*j**3 + j**2 - 2*j - 2. Let y(i) be the first derivative of 7*i**4/4 - 2*i**3/3 + 5*i**2/2 + 5*i + 19. Calculate -5*o(n) - 2*y(n). n**3 - n**2 Let x(l) = 7*l + 49 + l - 25 - 20. Let u(y) = -9*y - 5. Give 3*u(z) + 4*x(z). 5*z + 1 Let d(g) = -g. Let o(f) = -2*f**2 - 11*f - 17. Let p(i) = i**2 + 4*i + 6. Let r(w) = 6*o(w) + 17*p(w). What is d(t) + r(t)? 5*t**2 + t Let a(f) = -5*f**3 - 4*f**2 + 6. Let m(h) be the third derivative of -h**6/30 - h**5/20 + 5*h**3/6 - 129*h**2. What is 5*a(x) - 6*m(x)? -x**3 - 2*x**2 Let h(k) = -36*k - 26. Let s(w) = 13*w + 9. Give -4*h(o) - 11*s(o). o + 5 Let x(f) = -5*f**2 + 8*f + 5. Let i(c) = 73*c + 3 + 2*c**2 - c**2 - 68*c - 4*c**2. Determine -8*i(g) + 5*x(g). -g**2 + 1 Let j(u) = -4*u + 1. Let l(s) = 2*s. Let r = 15 - 13. Suppose -r*t = -5*t. Suppose v + 1 - 6 = t. Give v*l(a) + 2*j(a). 2*a + 2 Let v(q) = 10*q - 18. Let n be v(2). Let j(t) = t**2 - 3*t + 2. Let p(w) = -2*w**2 + 7*w - 4. Give n*p(u) + 5*j(u). u**2 - u + 2 Let d(g) = 17*g**3 - 4*g + 4. Let f be (-70)/84 + 1 - 23/(-6). Let w(p) = -34*p**3 + 7*p - 7. Determine f*w(y) + 7*d(y). -17*y**3 Let d(p) = 2*p**2 + p + 1. Let s(x) = -x - 10. Let a be s(-7). Suppose 0 = 36*v - 103*v + 268. Let o(m) = 2*m**2 + m. Give a*d(l) + v*o(l). 2*l**2 + l - 3 Let k(d) = 14*d**2 - 17*d + 55. Let s(j) = 5*j**2 - 6*j + 18. What is 6*k(x) - 17*s(x)? -x**2 + 24 Let f(p) = -4 - p - p + 6 - p. Let n(r) be the second derivative of r**3/6 + r**2/2 + 146*r. Calculate f(c) - n(c). -4*c + 1 Let y(t) be the second derivative of -17*t + 0*t**2 - 1/2*t**3 + 0. Let f(m) = 2*m. Give 3*f(u) + 4*y(u). -6*u Let v(i) = 2*i**3 - 13*i**2 - 41*i - 29. Let h be v(9). Let t(n) = -4*n + 6. Let c(b) = 5*b - 6. Give h*t(w) + 6*c(w). 2*w + 6 Let x(y) = 5*y**2 - 2*y + 1. Let b(q) be the first derivative of -5*q**3/3 + q**2 - q + 447. Calculate -3*b(w) - 4*x(w). -5*w**2 + 2*w - 1 Let t(c) = -c**3 - c**2 - c. Let m(r) = 8*r**3 + 6*r**2 + 4*r + 6. Calculate -m(b) - 6*t(b). -2*b**3 + 2*b - 6 Let i(b) = -4*b**3 - 4*b**2 - 2*b - 1. Let v(c) be the first derivative of -c**3/3 - 71. Determine -i(y) + 4*v(y). 4*y**3 + 2*y + 1 Suppose 50*f + 48 = 38*f. Let n(p) = 12*p**3 - p. Let m(q) = -11*q**3 + q. Give f*m(t) - 3*n(t). 8*t**3 - t Let w = -300 - -301. Let s(v) = v + 1. Let d(r) = 9*r + 6. Give w*d(n) - 6*s(n). 3*n Let n(p) = -p**2 + 2*p + 6. Let o(c) = -4674 + c - c**2 + 4674. What is n(a) - 2*o(a)? a**2 + 6 Let g(p) = 3*p + 11. Let b be (34*2/10)/(22/55). Let v(o) = -o - 4. Calculate b*v(a) + 6*g(a). a - 2 Let b(l) = -102*l**2 - 25*l - 5. Let x(q) = -103*q**2 - 20*q - 4. Give 4*b(r) - 5*x(r). 107*r**2 Let w = 0 - 5. Let d(k) be the second derivative of 2*k**3/3 + 2*k**2 - k - 48. Let m(c) = -5*c - 5. Calculate w*m(s) - 6*d(s). s + 1 Let x(d) be the second derivative of -7*d**5/10 - 11*d**3/6 + d - 56. Let k(h) = 3*h**3 + 2*h. What is -11*k(j) - 2*x(j)? -5*j**3 Let j(z) = -71*z**2 - 7*z - 11. Let n(r) = -35*r**2 - 4*r - 6. Determine 4*j(q) - 7*n(q). -39*q**2 - 2 Let k(a) = -6*a - 2. Let u be (-24)/60 + (-69)/15. Let m(t) = -14*t - 11. Let b(j) = 7*j + 6. Let f(v) = -5*b(v) - 3*m(v). Calculate u*f(y) - 6*k(y). y - 3 Let m(a) = 4*a + 100. Let p(b) = -12*b - 290. Determine 7*m(k) + 2*p(k). 4*k + 120 Let j(u) = -u - 8. Let m be j(10). Let i(b) = -b - 35. Let z be i(m). Let y(w) = -2*w - 5. Let n(f) = -6*f - 14. Give z*y(h) + 6*n(h). -2*h + 1 Let h(v) = -4*v**3 - 17*v**2 + 5*v. Let d(k) = k**3 + k. What is 5*d(r) - h(r)? 9*r**3 + 17*r**2 Let q(r) = -11*r**3 + 8*r**2 - 323. Let f(w) = -4*w**3 + 3*w**2 - 108. Give -8*f(h) + 3*q(h). -h**3 - 105 Let q = 1 - 5. Let c(u) = -4*u + 11. Let b(z) = -z + 4. Let h(g) = -g**3 - 7*g**2 - 14*g - 87. Let s be h(-7). Give q*c(f) + s*b(f). 5*f Let q(f) = -4*f**2 - 11*f - 4. Let p(x) = 3*x**2 + 10*x + 4. Determine 6*p(d) + 5*q(d). -2*d**2 + 5*d + 4 Let r(c) = 19*c + 5. Let i(o) = 17*o + 6. What is 4*i(p) - 3*r(p)? 11*p + 9 Let o(s) = -7*s**2 - 2*s. Let i(p) be the third derivative of -p**5/60 - 105*p**2. Determine -4*i(w) + o(w). -3*w**2 - 2*w Let o(j) = -50*j**2 - 30*j**2 + 69*j**2. Let x(c) = c**3 + c**2. Calculate -o(l) - 11*x(l). -11*l**3 Let h(p) = 9*p - 9. Let x(l) = -4*l**2 + 7*l. Let k be x(2). Let j(m) = -4*m + 4. Let i be -3*(24/9 - 1). What is i*j(u) + k*h(u)? 2*u - 2 Let o(i) = -4*i**2 + 6*i. Let p(d) = d**2 + 6*d - 4. Let r(n) = 2*n**2 + 8*n - 6. Let v(t) = 3*p(t) - 2*r(t). Determine 4*o(c) - 11*v(c). -5*c**2 + 2*c Let f(h) = 1737*h**3 - 1 + 2*h - 1738*h**3 - 28*h**2 + 28*h**2. Suppose -7*b + 2*b = -5. Let w(c) = c**3 - c + 1. Determine b*f(z) + 3*w(z). 2*z**3 - z + 2 Let q(b) = -5*b + 3*b - 62 + 11*b + 67. Let k(f) = 14*f + 7. What is -5*k(l) + 7*q(l)? -7*l Let b(f) be the second derivative of -f**4/12 + f**3/2 - f**2 - f. Let m(v) = -231166 + 231166 - v**2. Determine b(r) - 3*m(r). 2*r**2 + 3*r - 2 Let w(p) = -2*p**2 + 10*p + 10. Let y(f) = -6*f**2 + 28*f + 29. Give -8*w(c) + 3*y(c). -2*c**2 + 4*c + 7 Let i(f) = 3*f + 7. Let s(l) = l + 1. Suppose 14*u + 8 = 16*u. Give u*s(m) - i(m). m - 3 Let c(t) = -8*t**2. Suppose -5*h = -6*h - q + 2, q - 8 = -4*h. Let w(z) = 39*z**2. Determine h*w(n) + 11*c(n). -10*n**2 Let s(o) = 4*o**3 - 4*o + 4. Suppose 9 + 2 - 14 = t. Let r(l) = 0*l - 4*l**3 - 3 + 2*l + l. What is t*s(k) - 4*r(k)? 4*k**3 Suppose 62 = -4*w + 34. Let v(z) = -3*z + 7. Let s(p) = -3*p + 6. What is w*s(g) + 6*v(g)? 3*g Let f(x) = -276*x**2 - 5*x + 4. Let q(r) = -276*r**2 - 6*r + 5. Give 6*f(h) - 5*q(h). -276*h**2 - 1 Let h(u) = 549*u**2 + 10*u + 5. Let t(y) = 10432*y**2 + 192*y + 96. Determine -96*h(p) + 5*t(p). -544*p**2 Let j(p) = 15*p**2 - p + 3. Let t(l) = -16*l**2 - 3. Calculate -4*j(c) - 3*t(c). -12*c**2 + 4*c - 3 Let w(b) = -3*b**2 - 17*b - 3. Let x(c) = -c**2 - c. Determine -w(l) + 6*x(l). -3*l**2 + 11*l + 3 Let f(r) = 23*r**2 + 20*r - 3. Let i(a) be the first derivative of -8*a**3/3 - 7*a**2/2 + a + 79. Give 6*f(m) + 17*i(m). 2*m**2 + m - 1 Let s(d) be the second derivative of 2*d**3/3 - 3*d**2 + 1971*d. Suppose h = -3*h - 20. Let p(v) = -4*v + 5. Determine h*s(m) - 6*p(m). 4*m Let v(k) = -1. Let z(u) = -315*u - 3. Determine -2*v(l) + z(l). -315*l - 1 Let r(y) = -11*y**3 - 2*y**2. Let j(l) = 12*l**3 + 4*l**2 - 1. Let i(q) = 2*j(q) + 3*r(q). Let c(h) = -26*h**3 + 7*h**2 - 7. Determine -2*c(g) + 7*i(g). -11*g**3 Let z(b) = -b**2 + 3*b. Suppose 4*q = -s - 32 + 8, -5*s + 3*q = 5. Let f be 3 + 1 - (2 + -1). Let g(i) = -i**2 + 4*i. Determine f*g(v) + s*z(v). v**2 Let v(q) = q**3 + 3*q**2 + 4. Suppose -w + 3*w + 12 = 4*k, -2*w = -2*k + 2. Let j(b) = -2*b**3 - 6*b**2 - 9. Calculate k*v(s) + 2*j(s). s**3 + 3*s**2 + 2 Let j(h) = 20*h. Let s(o) = -19*o. Let g(u) = -2*u**3 - 15*u**2 + 26*u - 2. Let r be g(-9). What is r*s(d) + 6*j(d)? -13*d Let q(m) = -5*m**2 + 3065*m - 8. Let g(h) = 2*h**2 - 1023*h + 3. Give 11*g(d) + 4*q(d). 2*d**2 + 1007*d + 1 Let t be (55/(-10) - -4)*-6*-1. Let j(k) = -k + 2. Let u(n) = -3*n + 5. What is t*j(s) + 4*u(s)? -3*s + 2 Let u(b) = -11*b**2 + 4*b - 4. Let z(f) = 13*f + 5 + 1 + 11*f**2 + 17*f - 1 - 35*f. What is 5*u(v) + 4*z(v)? -11*v**2 Let k(f) = f - 1. Let s(j) = -1 - 197*j + 94*j + 102*j + 2. Suppose 4 = i - 2*i. Give i*k(w) - 3*s(w). -w + 1 Let s(q) = -23*q**3 + q**2 - 6*q - 1. L
{ "pile_set_name": "DM Mathematics" }
= 3221*y + 1655*y for y. 17 Solve 6053 = -11443*u + 407125 + 182521 for u. 51 Solve -1667*j + 13309 = 1557*j - 2981*j + 46114 for j. -135 Solve 2324*i + 2285*i - 2520 = -2263*i + 6956*i for i. -30 Solve 41634 = -206*q + 59144 for q. 85 Solve 272645 = -38*q + 269681 for q. -78 Solve -1811*x - 2830 - 1136 - 575 = 4514 for x. -5 Solve 946*m - 5719 = -122616 + 9053 for m. -114 Solve 0 = -43*r - 22*r + 878 + 2112 for r. 46 Solve -296*s = 296*s - 867*s + 292*s - 833 for s. 49 Solve -39*h + 81*h - 43*h + 15 + 48 = 0 for h. 63 Solve 18442*x = 18487*x - 3330 for x. 74 Solve 298*u + 2600 = -7765 + 1425 for u. -30 Solve -640*d - 34320 - 2798 = 642 for d. -59 Solve -140407 - 42514 - 72097 = -263*m - 1974*m for m. 114 Solve 11751*z = -15551*z + 7070*z - 2124360 for z. -105 Solve 53*o - 639*o - 5616 = 38*o for o. -9 Solve -736 = 1192*z + 110 + 5114 for z. -5 Solve 154*s + 4771602 - 4778686 = 0 for s. 46 Solve 9552*w - 56 + 322 + 110 = 9599*w for w. 8 Solve 546*u + 436*u + 98*u - 49654 = 266*u for u. 61 Solve 56351 = -82*x + 61927 for x. 68 Solve -226*l - 33111 - 11049 = 917*l + 329*l for l. -30 Solve 0 = 18*h + 1335 - 3546 + 1401 for h. 45 Solve 4040*g = 4017*g - 1564 for g. -68 Solve -23873 - 30253 + 17311 = -995*m for m. 37 Solve 410 - 116 - 178 = 29*x for x. 4 Solve -210*h - 6573 = 6563 + 162 - 2798 for h. -50 Solve 117*s = 4640 + 1210 for s. 50 Solve -858*y = 1306*y - 4618 + 20179 + 42867 for y. -27 Solve 11803*u - 1069590 = 1213*u for u. 101 Solve -42*q + 1031 + 995 + 746 = 2*q for q. 63 Solve 729*k + 38877 = -9966 for k. -67 Solve 222*o + 10895 + 4521 = 9*o - 115*o for o. -47 Solve 180*b - 24*b + 1575 + 1233 = 0 for b. -18 Solve 381*u + 429*u = 655*u - 2138 - 4682 for u. -44 Solve -194353*y + 1188 = -194397*y for y. -27 Solve 1057*v + 2370 = 1136*v for v. 30 Solve 17223*h = 17544*h + 39804 for h. -124 Solve -2578*k + 12477*k = -8810*k - 1590265 for k. -85 Solve -1735*r = -2093*r - 2148 for r. -6 Solve 3433 - 16505 = -37*a + 345*a - 4*a for a. -43 Solve -2641*n + 8268 = -1952*n for n. 12 Solve -290*c + 4927 = 1930 + 404 - 7267 for c. 34 Solve -4385*o - 50148 = -5579*o for o. 42 Solve -451934*a - 19250 = -452284*a for a. 55 Solve 2101*k + 18112 + 16846 + 23581 = 6014 for k. -25 Solve 39687 = 1816*x + 25402 - 77140 - 46591 for x. 76 Solve 190*u = -663*u - 111*u + 83868 for u. 87 Solve -560*a - 31862 = 2858 for a. -62 Solve 0 = -24*y - 473 - 111 - 448 for y. -43 Solve -124*p - 1941 + 6724 = 982 - 6987 for p. 87 Solve 20*k + 4 + 16 = 28 - 8 for k. 0 Solve -32*l - 193*l = 58*l + 1674 - 542 for l. -4 Solve -2612822 + 2600278 = -2*p + 198*p for p. -64 Solve 1959*c + 2020*c - 1197*c = -568*c - 80400 for c. -24 Solve -815*t + 2302*t - 815*t - 4950 = 782*t for t. -45 Solve 327*q = 5557 - 25831 for q. -62 Solve -934 - 213 + 5 = 254*t + 128 for t. -5 Solve -77077*j + 1872 = -77181*j for j. -18 Solve 178*n - 162*n + 27 - 859 = 0 for n. 52 Solve -18064*y - 36 = -18052*y for y. -3 Solve -21*d + 32*d + 2280 = -46*d for d. -40 Solve 4703*s = 125615 - 119406 + 181911 for s. 40 Solve 217*o = -266*o - 168*o + 411*o - 8640 for o. -36 Solve 121133 = -300*j + 150233 for j. 97 Solve 8191 + 9492 = -2822*s - 50045 for s. -24 Solve -10*i - 3*i = 23*i - 153 - 1107 for i. 35 Solve -11939*r + 4006*r + 502687 = -250948 for r. 95 Solve 44*v - 123 = 305 + 496 for v. 21 Solve 2462*q + 2471*q - 928 + 3703 = 4822*q for q. -25 Solve -470*l + 7205*l + 2785*l - 495040 = 0 for l. 52 Solve 568*r = -300*r + 11284 for r. 13 Solve -733388 = -68*o - 728696 for o. 69 Solve 551 = 466151*c - 466170*c for c. -29 Solve 24021*l - 4608 = 24117*l for l. -48 Solve -6860 = 1801*a + 674*a - 137 + 702 for a. -3 Solve 77299 + 135812 = 5860*w - 40579 + 48590 for w. 35 Solve 16599*l - 16613*l + 511 = -147 for l. 47 Solve -150*b + 1014 + 474 = 1338*b for b. 1 Solve 3628 + 2580 = 649*j - 218*j - 688 for j. 16 Solve 106*y + 60*y = -2332 - 4640 for y. -42 Solve -214*l = 788*l + 724*l + 82848 for l. -48 Solve 1369 = -7*k - 14*k - 1045 + 314 for k. -100 Solve 440*g - 4326*g + 38026 + 66815 = 7691 for g. 25 Solve 2750*m + 212*m = -146441 + 39809 for m. -36 Solve 314*h - 14*h - 28*h + 32368 = 0 for h. -119 Solve -908*c - 6838 = 751*c + 11411 for c. -11 Solve 3*z - 23*z + 98*z + 7884 = 24*z for z. -146 Solve -9322*x + 985*x - 225099 = 0 for x. -27 Solve -1028*m + 1243*m + 8600 = 0 for m. -40 Solve -150*x = -0*x - 403*x - 313*x - 13584 for x. -24 Solve -2385*y - 1755 = -1818*y + 20358 for y. -39 Solve 344 - 2629 - 9588 = -239*f + 6769 for f. 78 Solve 1649691 + 1200422 = 27671*q for q. 103 Solve 199293*w - 28350 = 198915*w for w. 75 Solve 169*b - 717*b + 860 = 1002 + 1502 for b. -3 Solve -15144 + 1717 = 201*b + 7967 - 1495 for b. -99 Solve -38061 - 5905 = 394*p + 7662 + 380 for p. -132 Solve 18095*m + 152153 = 1509278 for m. 75 Solve 51153 = 3032*f - 23*f for f. 17 Solve -304*k + 126*k = -114*k + 4052 - 1300 for k. -43 Solve 141*d - 324*d = -139*d + 1144 for d. -26 Solve -11466 - 3054 = -132*i for i. 110 Solve -3061*q + 35899 = 2587 + 274707 + 15729 for q. -84 Solve -2209*n + 46725 - 64555 = -276*n + 61423 for n. -41 Solve -743*y = 4187*y + 46131 + 35066 + 27263 for y. -22 Solve -9793*p + 8015*p = -158242 for p. 89 Solve -341*c - 452 = -358*c - 78 for c. 22 Solve 47*k - 8426 + 6502 = -5*k for k. 37 Solve -6959 + 3609 = 134*t for t. -25 Solve 7855 = 1798*l - 16*l - 22439 for l. 17 Solve 29340 = 106*t - 10*t + 47*t + 183*t for t. 90 Solve -4195 = -93*m - 1684 for m. 27 Solve 1361*r + 4039 = -19098 for r. -17 Solve -3706*o + 3620*o - 2924 = 0 for o. -34 Solve -61*g = 5*g - 4712 - 1624 for g. 96 Solve 22554 - 77630 = -218*r - 906*r for r. 49 Solve -118*w = -3511*w - 1035*w + 205546 - 54994 for w. 34 Solve -450*h = 15*h - 57*h + 5304 for h. -13 Solve 52*g + 191*g = 1103 + 1570 for g. 11 Solve 32146*w - 13631 = 32463*w for w. -43 Solve 3316*t = 607*t - 402*t - 108885 for t. -35 Solve 1131*t + 177*t + 7848 = 0 for t. -6 Solve -79*i - 209633 = 6225*i - 1191*i for i. -41 Solve 460*r - 234*r - 48543 = -443*r + 10998 for r. 89 Solve -68*k = 206515 - 205835 for k. -10 Solve 13641 + 4309 = 1584*c + 212782 for c. -123 Solve -11862 - 9330 = -126*s - 29886 for s. -69 Solve 1232146*x - 1233952*x + 30702 = 0 for x. 17 Solve 139*g - 31*g - 8*g - 24*g = 2432 for g. 32 Solve 990*u + 17*u = -1147*u - 1556*u + 25970 for u. 7 Solve -1386*p + 24986 - 653 - 13599 + 72426 = 0 for p. 60 Solve -1378*h - 3099*h - 162639 - 44691 + 46158 = 0 for h. -36 Solve 440*k + 305*k - 46272 = 3643 for k. 67 Solve 0 = 1514*b + 10540 - 2970 for b. -5 Solve 225 = 172*n - 2355 for n. 15 Solve -1908*c + 7541 = -123443 + 27952 for c. 54 Solve 39153 = -6099*o - 62919 - 176083 - 87785 for o. -60 Solve 535*n = -197*n - 24888 for n. -34 Solve -47644 - 98582 = 1615*x + 28194 for x. -108 Solve 0 = 1136*h + 2147*h + 1915*h + 18763 - 195495 for h. 34 Solve 363*r + 1817 + 7143 + 2141 + 152 = 0 for r. -31 Solve 0 = 71*a - 816421 + 817060 for a. -9 Solve 1192*l - 60709 = 26307 for l. 73 Solve 2911*n + 93030 = -58848 - 63536 for n. -74 Solve 9*a - 2*a - 213 = -8*a - 48 for a. 11 Solve 15176*b - 16302*b + 63056 = 0 for b. 56 Solve -6*p = -99*p + 3*p - 720 for p. -8 Solve 8212 = 428*v - 4200 for v. 29 Solve 4156 - 18076 = 160*k for k. -87 Solve 5940*g - 40740 = 7395*g for g. -28 Solve 1098*b + 8595 = -3483 for b. -11 Solve -528 = -130390*h + 130449*h + 2835 for h. -57 Solve -416*l + 468*l - 42714 = -965*l for l. 42 Solve 385*v + 277 - 657 - 1166 = -388*v for v. 2 Solve 518573*i - 360 = 518483*i for i. 4 Solve 152*f - 2394 = -94*f - 115*f + 95*f for f. 9 Solve -101*h + 265*h - 181*h = 697 for h. -41 Solve -3097 - 6683 = 356*c + 9444 for c. -54 Solve -2325*f - 1077*f + 63735 = -588*f + 193179 for f. -46 Solve 185*z - 658 - 2455 = 77*z - 197 for z. 27 Solve 48084*c - 48089*c = -30 for c. 6 Solve 67779 = -8*n + 67691 for n. -11 Solve 1317952*v - 25242 = 1319154*v for v. -21 Solve 286*c - 2254*c = -292*c - 23464 for c. 14 Solve 505*z - 33181 = -1566 - 4850 for z. 53 Solve -1040*m + 765541 = 843541 for m. -75 Solve -360*r + 552*r = 273 + 5295 for r. 29 Solve 195*z + 748*z = -2513*z - 338688 for z. -98 Solve 963*j - 65431 + 210331 = -220*j - 77*j for j. -115 Solve -2181*o - 551*o + 71430 = -18726 for o. 33 Solve -18476*h + 1986*h - 1600952 - 509768 = 0 for h. -128 Solve -152*x - 90*x
{ "pile_set_name": "DM Mathematics" }
Two letters picked without replacement from zeeumzezemzmee. Give prob of picking 1 z and 1 m. 12/91 Calculate prob of picking 2 f when two letters picked without replacement from txfff. 3/10 Four letters picked without replacement from {g: 4, u: 6}. Give prob of picking 2 g and 2 u. 3/7 Four letters picked without replacement from fsksskvfs. What is prob of picking 1 v, 1 s, and 2 k? 2/63 Calculate prob of picking 1 z and 1 c when two letters picked without replacement from cchzvhrcc. 1/9 Two letters picked without replacement from bbbububuhub. What is prob of picking 1 h and 1 u? 4/55 Calculate prob of picking 2 w when two letters picked without replacement from rowngwjgworrnrn. 1/35 Calculate prob of picking 2 r when two letters picked without replacement from rrrrrrrrrrjrj. 55/78 Four letters picked without replacement from {n: 3, g: 5, q: 5}. What is prob of picking 2 g and 2 q? 20/143 What is prob of picking 2 y when two letters picked without replacement from {k: 5, i: 9, s: 1, y: 3}? 1/51 Two letters picked without replacement from {n: 1, q: 2, m: 1, s: 2, a: 1, y: 2}. What is prob of picking 1 n and 1 s? 1/18 Two letters picked without replacement from {y: 2, b: 3, f: 3, l: 1, c: 1, o: 1}. Give prob of picking 1 f and 1 o. 3/55 Calculate prob of picking 2 d when two letters picked without replacement from {n: 3, d: 3, t: 13}. 1/57 Two letters picked without replacement from ztzttntzztzzzztnz. What is prob of picking 2 t? 15/136 Two letters picked without replacement from phhspese. What is prob of picking 1 h and 1 e? 1/7 Two letters picked without replacement from ceeecciic. What is prob of picking 1 e and 1 i? 1/6 What is prob of picking 1 f and 1 c when two letters picked without replacement from {f: 7, c: 2, k: 1, d: 2}? 7/33 Three letters picked without replacement from {h: 1, o: 6, n: 2, y: 4, j: 7}. Give prob of picking 2 j and 1 y. 7/95 What is prob of picking 1 z and 2 f when three letters picked without replacement from {f: 7, z: 1, l: 12}? 7/380 What is prob of picking 3 j and 1 c when four letters picked without replacement from {w: 1, a: 1, u: 3, q: 2, j: 4, c: 7}? 7/765 Four letters picked without replacement from xxxxxhxxxxxxhxxh. What is prob of picking 1 h and 3 x? 33/70 What is prob of picking 1 j, 1 x, and 1 k when three letters picked without replacement from xtqxjku? 2/35 Three letters picked without replacement from nnspppupsenpepsunuus. What is prob of picking 1 e, 1 s, and 1 u? 8/285 Two letters picked without replacement from wwwwwewwwwww. What is prob of picking 1 w and 1 e? 1/6 Two letters picked without replacement from iiisisiaacaaasqsaspa. Give prob of picking 1 c and 1 q. 1/190 What is prob of picking 2 i when two letters picked without replacement from iigiigitii? 7/15 Calculate prob of picking 3 z and 1 t when four letters picked without replacement from {c: 2, i: 6, t: 4, z: 3, r: 1, q: 4}. 4/4845 Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {v: 2, u: 2, d: 1, m: 1, a: 2, t: 1}. 1/36 Calculate prob of picking 2 u when two letters picked without replacement from ezueggeggesggeeeggxu. 1/190 Calculate prob of picking 2 e when two letters picked without replacement from {e: 7}. 1 Calculate prob of picking 2 a and 2 r when four letters picked without replacement from {a: 3, r: 9}. 12/55 Calculate prob of picking 3 i when three letters picked without replacement from iizaeiaziazi. 1/22 Two letters picked without replacement from {z: 5, a: 1, d: 2, b: 1, h: 1}. Give prob of picking 1 a and 1 b. 1/45 Three letters picked without replacement from {i: 2, m: 1, e: 1, w: 1, o: 2}. Give prob of picking 1 o, 1 m, and 1 w. 2/35 Calculate prob of picking 4 h when four letters picked without replacement from {h: 6, q: 1, d: 8}. 1/91 Calculate prob of picking 1 m and 2 g when three letters picked without replacement from ggmmmmmm. 3/28 Two letters picked without replacement from {r: 12, z: 1, b: 6}. What is prob of picking 2 r? 22/57 Two letters picked without replacement from uuuuuuuyuuuuuuuuuuu. What is prob of picking 2 u? 17/19 What is prob of picking 2 x when two letters picked without replacement from {s: 8, x: 2}? 1/45 Two letters picked without replacement from jxqhwqjqqqhhgqh. What is prob of picking 1 x and 1 q? 2/35 What is prob of picking 1 b, 2 c, and 1 n when four letters picked without replacement from bcnbncnnnnn? 7/165 Two letters picked without replacement from {b: 1, g: 2, e: 1}. Give prob of picking 1 b and 1 e. 1/6 Calculate prob of picking 1 f and 3 o when four letters picked without replacement from {o: 9, f: 10}. 70/323 Three letters picked without replacement from {s: 3, p: 3}. What is prob of picking 1 p and 2 s? 9/20 What is prob of picking 1 v and 3 f when four letters picked without replacement from favvvvvflvvfaffaaf? 7/153 Three letters picked without replacement from txxwwntnutxknxuwtnnt. Give prob of picking 1 w and 2 u. 1/380 Two letters picked without replacement from uuzuuuuuuzuuzuuuuuuz. What is prob of picking 2 z? 3/95 Two letters picked without replacement from brbgbgbrr. Give prob of picking 1 g and 1 r. 1/6 Calculate prob of picking 2 v when two letters picked without replacement from jvvjwjjwjvjwjjwjjj. 1/51 What is prob of picking 3 p when three letters picked without replacement from piiipip? 1/35 Calculate prob of picking 1 n and 2 h when three letters picked without replacement from {h: 6, q: 8, n: 3}. 9/136 What is prob of picking 2 u and 1 x when three letters picked without replacement from {j: 5, u: 10, x: 1, e: 4}? 3/76 What is prob of picking 2 x when two letters picked without replacement from {b: 4, r: 1, m: 3, i: 4, x: 2}? 1/91 What is prob of picking 2 n and 1 k when three letters picked without replacement from {n: 6, k: 2}? 15/28 What is prob of picking 2 b when two letters picked without replacement from ellppeblbpell? 1/78 Calculate prob of picking 1 h, 1 k, and 2 v when four letters picked without replacement from {r: 1, h: 1, k: 1, l: 1, v: 2, n: 2}. 1/70 Four letters picked without replacement from rkjbjjrrkjr. What is prob of picking 1 r, 1 b, and 2 k? 2/165 Four letters picked without replacement from {p: 1, b: 2, x: 3, m: 1}. What is prob of picking 1 b, 2 p, and 1 m? 0 Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {v: 1, d: 2, l: 2, p: 1, r: 1, u: 1}. 1/28 What is prob of picking 1 s and 2 z when three letters picked without replacement from smzmmmmmszzm? 3/110 Calculate prob of picking 2 o, 1 d, and 1 a when four letters picked without replacement from dodddaddodaadododda. 22/323 Three letters picked without replacement from wkkwkwkvwvkv. What is prob of picking 1 v, 1 w, and 1 k? 3/11 Four letters picked without replacement from vcuuvvuucccuuuv. Give prob of picking 3 c and 1 u. 4/195 Four letters picked without replacement from dqqqdqdkqkd. Give prob of picking 1 k, 2 d, and 1 q. 2/11 Calculate prob of picking 2 e when two letters picked without replacement from ddedededdedeee. 3/13 Calculate prob of picking 1 m and 3 s when four letters picked without replacement from wmwwhbhsbwwshwsh. 1/1820 Two letters picked without replacement from gxgfggfxhgxfgggxghg. Give prob of picking 1 h and 1 g. 20/171 Three letters picked without replacement from {h: 1, v: 2, q: 1, p: 10}. Give prob of picking 3 p. 30/91 Calculate prob of picking 4 i when four letters picked without replacement from iajjijaviiiiji. 5/143 Four letters picked without replacement from {m: 1, e: 2, o: 7, u: 3, x: 3, w: 1}. What is prob of picking 1 w, 2 e, and 1 m? 1/2380 Four letters picked without replacement from nwwnknkwnkk. Give prob of picking 3 w and 1 k. 2/165 Calculate prob of picking 3 p when three letters picked without replacement from {w: 6, a: 2, p: 5}. 5/143 Three letters picked without replacement from otbbbotoollo. What is prob of picking 2 l and 1 t? 1/110 What is prob of picking 2 k when two letters picked without replacement from eaeekkkeakekkaaaaka? 7/57 Two letters picked without replacement from {d: 4, e: 1, z: 5, n: 1, a: 3, j: 4}. Give prob of picking 1 z and 1 n. 5/153 What is prob of picking 1 h and 1 e when two letters picked without replacement from fxxhxeexxee? 4/55 Calculate
{ "pile_set_name": "DM Mathematics" }
to 2 in q, -0.1, w? w Let x be (-138)/9*(-6)/22 + -4. Suppose -q - 9 = 2*q. Let b be 2/q + 120/153. What is the closest to 3 in b, 1, x? 1 Suppose 19 = -i - z - 36, z = 5. Let o be ((-2)/i)/(238/56). Let t = o + 751/1785. Which is the nearest to -1/7? (a) 1 (b) 2/9 (c) t b Let t be (12 - 3)*(3 + (-15)/(-9)). Let x be 28/t - 0*(2 + -3). Which is the closest to -1? (a) x (b) -2 (c) 9/5 b Let u = 478 + -473. Which is the closest to 4? (a) -2 (b) u (c) 1 (d) -1/7 b Suppose 4*f + 5 = -6*n + n, 4*f = 4*n + 40. Let q be f/10 + 0 + -2. What is the closest to 0.1 in -0.03, 2/3, q? -0.03 Let a be 8/4 + 44/(-18). Let i be (18/2 - 4) + (3 - 9). What is the closest to i in 5, 3, a? a Suppose -1401*j = -1395*j + 12. Let i = -0.1 - -0.1. Which is the nearest to -2/27? (a) i (b) j (c) -0.4 a Let w be (-5)/30 + (-12)/(-36). Which is the closest to -2/7? (a) -0.2 (b) -2 (c) 5 (d) w a Let w = 17.4 - 11.5. Let b = w - 5.8. What is the closest to 0 in -1/4, -4/5, b? b Let g = -295.1 - -295. Which is the closest to g? (a) 2 (b) 181 (c) 1 c Let c = 6 + -5.5. What is the closest to -4 in -0.12, 4, c? -0.12 Let v = 5 + 20. Let j = v + -29. What is the nearest to -1 in -2, j, -0.1? -0.1 Let v be 130/39*4/10. Let o be (22/110)/(1/5). What is the nearest to o in -1/6, v, -1/8? v Let k(d) = -d**3 + 9*d**2 - d + 12. Let j be k(9). Which is the nearest to 4? (a) j (b) -2/3 (c) -0.3 a Suppose -2*p = -5*m - 5*p + 3, 17 = 3*m - 2*p. Which is the closest to 6? (a) -5 (b) 0.3 (c) m c Let t be (-2*1)/((-6)/(4 + 2)). What is the nearest to -0.1 in -3, -44/9, t? t Let t(x) = -4*x**3 + 1 - 12*x + 3*x**3 - 10*x**2 + 0*x**3 + 3*x. Let n be t(-9). Let o = -0.2 + -3.8. What is the closest to n in o, -1/4, 3/4? 3/4 Let q = 2.9557 + 0.0443. Which is the nearest to -1? (a) -6/7 (b) 0.1 (c) q a Let j = 581 - 582. Which is the nearest to 0? (a) j (b) -0.2 (c) -4 b Let n = -18 - -18.1. Let g = -6 + 6. Let w = g - -4. Which is the closest to -1/4? (a) 1 (b) w (c) n c Suppose 0 = -7*s - 48 + 27. Let f = 11 + -6. Which is the closest to 0? (a) s (b) 0.4 (c) f b Let q = -0.7 + -2.3. Which is the nearest to 0.6? (a) 2 (b) 3 (c) q a Let o be (6/(-45))/((-1)/(-190)*-2). Let f = o + -13. Which is the closest to 1/2? (a) -0.4 (b) f (c) -1/2 b Let r = 1.6 + -12.6. Let i = 2 - r. Let l = -10 + i. What is the nearest to -3 in l, -2, 5? -2 Let o = 0.06 - 0.1. Let y = o - -0.14. Let p = -31.3 - -31. Which is the closest to y? (a) p (b) 3 (c) -0.5 a Let z = 27 + -74. Let p = 46.8 + z. Which is the closest to -2? (a) -4 (b) -5 (c) p c Let z be (-4*24/1472)/((-3)/(-4)). Let p be 4*(-9)/(-48)*4. Which is the closest to 2/3? (a) p (b) -1 (c) z c Let n = -2753 - -2755. Which is the closest to -3? (a) n (b) -2/3 (c) -0.06 b Let a = 22.6 - 25. Let d = -2.6 - a. Let f = 2.5 + -0.5. What is the nearest to f in 2/3, -1/2, d? 2/3 Let f be -3*((-6 - -3) + (-10)/(-3)). Let q = 36 - 31. What is the nearest to -1 in q, f, 0? f Suppose 35 = 14*l - 7. Suppose -14 = 2*a - 62. What is the closest to a in 2, l, -3/4? l Let n be -1 + (-6)/(-8) - (-1)/(-2). What is the closest to -2/3 in n, -5, 0, 1? n Let g = -2.5 + -0.5. Let h = 1.96 + 0.04. Let l = 293 - 293. Which is the nearest to h? (a) 5 (b) l (c) g b Let g = 0.86 + 0.04. Let t = g - 2.9. Let x = 59/33 + -16/11. What is the nearest to x in 0, t, -1? 0 Suppose -3*d + 3 - 16 = -l, l - d = 7. Let n be 116/(-10)*l/(-88). Let a = -8/11 + n. What is the nearest to 2/3 in a, -3/2, -4? a Let s = -1 - 2. Let m = -501 + 503.9. Let y = m + s. Which is the closest to 1? (a) -5/2 (b) -4 (c) y c Let s = 4 - 4.02. Let p = 0.98 - s. What is the closest to p in 2, 3, 6? 2 Let k = 0.076 + 0.124. What is the closest to k in -5, 5, -3/7? -3/7 Let p = 2284 - 2283. Let g = -1 + 1. Which is the closest to g? (a) -1/2 (b) p (c) -5 a Suppose -3*m + 0*m = -12. Let q = -2.38 + 18.48. Let u = 16 - q. What is the closest to u in m, 2, -2? -2 Let x be 4/(4 + -2) + -1. Let l = 202 - 189. Suppose l*o + 52 = -0*o. What is the closest to x in 2/7, 1/8, o? 2/7 Let m = 3.6 - 4. Let z = -0.4 - m. Let x = 2/11 - 17/33. Which is the closest to z? (a) x (b) 0.5 (c) 1 a Let g be (2/(-4))/(28/21). What is the nearest to -0.4 in 13, g, -1/2? g Let v = -0.9 - 0.4. Let l = -1.8 - v. Which is the closest to 1? (a) 3 (b) 0 (c) l b Let z be 4/(-18) + (-9615)/(-135). Let m = 70 - z. Which is the closest to -2.2? (a) m (b) -2 (c) -2/9 b Let u = -20 - -18.9. Let d = -1 - u. Let j be 6/(-12)*16/28. Which is the nearest to d? (a) j (b) 0.5 (c) -4 a Let n = -2.8433 - -2.4433. Let q(d) = -d**3 + 6*d**2 - 2*d + 7. Let y be q(5). Let c be 1/(2 - y/10). What is the closest to c in 3, n, 0.1? n Let w = 179 - -103. Suppose 0 = -w*m + 279*m + 3. Let j = 0.04 + -0.34. What is the nearest to m in 0.5, 1/3, j? 0.5 Let u = 0.07 + -0.37. Let m = -0.2 - u. What is the closest to -3 in m, 2/11, -3? -3 Let w = 3.3 - -0.7. Let h = -0.3 + -0.2. Let j = -2/1037 + 3121/5185. What is the nearest to -1 in h, w, j? h Let j be (-97)/(-11) + -3 - 6. Which is the closest to 0.3? (a) j (b) 1/4 (c) 5 b Let d = 1006 + -1007. What is the closest to -0.1 in -3, d, 21? d Let q(u) = 2*u**3 - 2*u**2 - u - 1. Let c be q(-1). Let o(p) = -2*p**3 - 8*p**2 - p - 2. Let v be o(c). What is the nearest to v in -1/2, -1/4, 5? -1/4 Let r = -1 + 0.5. Let k = 4090 + -4090. Which is the nearest to -2/3? (a) 5 (b) k (c) r c Let o be (2/5)/((-42)/(-35)). Which is the closest to -0.2? (a) -68 (b) -0.2 (c) o b Let s = -1 - -1.3. Let z = 0.06 + 0.01. Let h = z + 3.93. What is the nearest to 0.1 in h, 0, s? 0 Let n = -1.4 + -1.6. Let h = 41/90 + -5/9. Which is the nearest to n? (a) -4 (b) -5 (c) h a Let j be (-68)/(-22) + (-3 - (-416)/143). Which is the nearest to 2/5? (a) -2 (b) j (c) -3/4 (d) -5 c Let w = -0.1 - -0.4. Let t = 12 + -5. Let r = 7 - t. Which is the nearest to r? (a) -0.2 (b) w (c) -2 a Let h = 1067 - 1067.2. Which is the closest to 2/5? (a) 5 (b) 30 (c) 1/8 (d) h c Let r = 34.6 + -30.6. Which is the closest to -2/13? (a) r (b) 2/3 (c) 0.5 c Let y be (2 - (-34)/(-8))*(5 - -31). Let u = y + 321/4. Suppose -t = 2 - 1. Which is the closest to t? (a) 0.09 (b) u (c) -0.3 b Let r = -11.2 + -3.8. Let k = 7 + r. Let j = 13 + k. What is the closest to 0 in -0.3, 0.1, j? 0.1 Let t = 33.69 + -1.19. Let c = t - 32. What is the nearest to 2/9 in c, -1/7, -0.3? c Let x = -13.89 - 0.11. Let o = x + 14.7. Which is the closest to o? (a) -2/15 (b) -1/3 (c) 1 c Let j = -217 + 228. Let l = 2 - 2. What is the closest to l in 1, 2/5, j? 2/5 Let z = -374 - -374. What is the closest to z in 167, 2/3, 5, 0? 0 Suppose -t + 3*p + 10 = 0, -20 - 2 = t + 5*p. Which is the nearest to t? (a) -1/7 (b) -3 (c) -0.2 b Suppose -4*i = -6*i. Let w = -0.052 + -49.948. Let a = -47 - w. What is the nearest to 1 in 1/2, i, a? 1/2 Let p = -0.66 + -3.44. Let y = p + 0.1. Let d = 63 + -66. What is the nearest to -3 in d, 0, y? d Let r be (-9040)/1000 - (1 - 10). Which is the nearest to -3/4? (a) -1 (b) -0.3 (c) r (d) -4 a Let n = -63.4 - -65.4. Which is the nearest to -2/9? (a) -1/2 (b) n (c) -12 a Let f = 2414 + -2419. Let x(y) = y + 2. Let q be x(-3). Which is the closest to q? (a) f (b) -0.3 (c) 1/2 b Suppose 126 = r + 124. Let a be (-1)/((-6)/4*2). What is the nearest to 0.7 in r, a, -1? a Let i be 2/7 - 9180/280. Let j = i - -31. What is the nearest to 2/7 in 1/4, 3, j? 1/4 Suppose -6*u - 77 = u. Let o be (1 - (-114)/(-27)) + 3. Which is the nearest to -0.1? (a) 2 (b) u (c) o c Let i = 1761.9 - 1762. Let o = -2.8 + 3. What is the nearest to i in o, 1, 7? o Suppose -2*i = 5*m - 4*i + 15, -m - 3 = -3*i. Let k = 15 + -10. Which is the closest to m? (a) -4 (b) 0.4 (c) k a Suppose -18*d - 1 = -19*d. Suppose o + 4*u + d = 0, -2 - 2 = 4*o + u. Which is the closest to o? (a) -5 (b) 2/3 (c) 1/2 c Let b = 0.1 - -0.71. Let o = b - -2.19. What is the closest to -1 in 0.3, -13, o? 0.3 Let k = -342 + 4087/12. Let w = 7/6 + k. What is the closest to w in 0.1, -2, -5? 0.1 Let h = -489 - -494. Let a = 0.3 + -0.3. What is the closest to -4/9 in h, a, -1? a Let k be (-8)/240*-12 + (-8)/70. Let o = 0.4 - -0.1. Let w = -1 + o. Which is the closest to -1? (a) k (b) 2 (c) w c Suppose 0
{ "pile_set_name": "DM Mathematics" }
j is positive. j**(-6037/5355) Simplify ((f/(f*f**9)*f/f**(1/4))/(f*f*f/(f*f**(3/5))*f*f**(-2/11)*f))**(-34) assuming f is positive. f**(42891/110) Simplify (s/(s/s**(2/3)))**(-2/71)*(s*s**(-3))/s**(-5/7) assuming s is positive. s**(-1945/1491) Simplify (r*r**6/r*r)**14/(r*r**14*r*r**(-5/2)/r) assuming r is positive. r**(171/2) Simplify (c*((c/(c**(-19)/c))/c)/c)/(c/(c/c**(-2/27)))*c**(-14/3)*c**(-11/6) assuming c is positive. c**(733/54) Simplify ((v/v**11)/v**(2/99))/(v*(v/v**(-4/5))/v)**(9/8) assuming v is positive. v**(-47699/3960) Simplify ((w/(w*w*(w**(2/7)*w)/w))/(w/(w**6/w))*(w**(-5)/w)/w**1)**(14/5) assuming w is positive. w**(-12) Simplify ((i**(2/3)/i**(-6))/(i**(1/6)/(i**(-6)/i)))**(-3/2) assuming i is positive. i**(3/4) Simplify ((y/(((y/((y/y**(-2))/y)*y)/y*y)/y))**(2/17))**16 assuming y is positive. y**(64/17) Simplify (c**(-2/37))**(8/15)*(c*c/c**(-2/7))**(3/8) assuming c is positive. c**(3218/3885) Simplify (i/(i/(((i*((i*i**(-7/4)*i)/i)/i)/i)/i)*i))/i*i*i**(-17)*((i**(-30)/i)/i)/(i**(-11/7)*i) assuming i is positive. i**(-1461/28) Simplify f*f**(-20)*f*f**7*f*(f*f*f**13)/((f/(f/(f*f**12*f*f)))/f) assuming f is positive. f**(-9) Simplify (c**(-2/25)*c**16*c)/((((c**(1/12)/c)/c*c)/c*c*c)/(c*c**2*c)) assuming c is positive. c**(6251/300) Simplify (((x**(-2/5)/x*x)**(-44))**34)**13 assuming x is positive. x**(38896/5) Simplify ((a**(-1/3))**(-32)*(a**(-2)/a)/(a*a/a**(-5)*a*a))**(12/7) assuming a is positive. a**(-16/7) Simplify ((a*a**(-2/3))/a**(-7))/(a**(2/5)/a*a)**(-44) assuming a is positive. a**(374/15) Simplify (f**(1/13)*f*f*f**(-2/33)*f*(f/(f/(f**(2/5)/f)))**(-3/14))**(-14/3) assuming f is positive. f**(-94441/6435) Simplify (r**(3/4)/((r*r**(2/25)*r)/r))**(-14) assuming r is positive. r**(231/50) Simplify (j**(2/61)/j*j*j*j/j**(5/3))/((j*j**(-6))/j)**(2/21) assuming j is positive. j**(1201/1281) Simplify ((q**(-7/5)*q*q**(2/17))**41)**(-36) assuming q is positive. q**(35424/85) Simplify (p/(p**(-10/3)/p)*p*p**(-21))/(p**1)**(4/3) assuming p is positive. p**(-16) Simplify (s**(-3/26)/s**(-2/15))/((s/s**(-20))/s**24) assuming s is positive. s**(1177/390) Simplify ((i*i**(-2))/i)**(7/5)*(i**(-21)/i)/(i/((i/(i**(-5)*i*i)*i*i)/i)) assuming i is positive. i**(-104/5) Simplify (j*(j**26*j)/j)**(20/3)*j*j*j**30*j*j*j**(-4/9) assuming j is positive. j**(1922/9) Simplify ((w**(-2)/w*w*w*w**3*w)**24)**(-9/5) assuming w is positive. w**(-648/5) Simplify (q**(-3)*q)/(q**(-12)*q)*((q*q**1)/q)**(24/5) assuming q is positive. q**(69/5) Simplify (f*f**(-3/4))**(-33)/(f/f**(-1/4))**(2/157) assuming f is positive. f**(-5191/628) Simplify (a*a/((a**30/a)/a)*a*a*a**(-1/19))**(-34) assuming a is positive. a**(15538/19) Simplify (((s*s/(s**(-1)*s))/s*s*s)**(-25)/(s**0)**(-1/4))**(-2/3) assuming s is positive. s**50 Simplify k**(-1/8)*k/(k**(-2/15)/k)*k**(1/9)*k**18 assuming k is positive. k**(7243/360) Simplify s*(s**29/s)/s*s*s*s*s**(-13)*((s*s/s**(-21)*s)/s*s)/(s*s**(-27)) assuming s is positive. s**68 Simplify (i/(i/(i/i**(-4/5)*i))*i**(2/9))**(-35) assuming i is positive. i**(-952/9) Simplify ((k**1)**(-4/11)*(k/(k**(-1/2)*k))**16)**38 assuming k is positive. k**(3192/11) Simplify (((k**3*k)**(-36/5))**(1/23))**26 assuming k is positive. k**(-3744/115) Simplify ((t**(-1/4)*t)**(-33/4)/(t**(6/7)/t**(2/19)))**19 assuming t is positive. t**(-14767/112) Simplify (g**(-1/3))**(-16/5)/((g/g**(1/4))/g*g*(g/((g/g**(-2/3))/g))/g) assuming g is positive. g**(59/60) Simplify (v**(1/36)/v**7)/(v*v**(-18)/v*v*v**(-13)*v) assuming v is positive. v**(793/36) Simplify ((b/b**(1/13))/(b*b*b**(5/6)))/(b/(b*b**(-2/27))*b**25) assuming b is positive. b**(-18943/702) Simplify ((a**0*a*a)**(-28)/((a*a**6/a)/((a*a*a*a**2)/a*a*a)))**(-46) assuming a is positive. a**2576 Simplify u**(-2/19)*u**(2/17)*(u*u**(-3/13)*u)**(7/11) assuming u is positive. u**(52575/46189) Simplify x**(2/59)*x**(-3/17)*(x*x**(4/17))/(x*x/((x/(x*x**21)*x)/x)*x) assuming x is positive. x**(-22976/1003) Simplify (n**(-5)/n)/(n/n**(-4))*(n**1)**(-9) assuming n is positive. n**(-20) Simplify ((v**(-3/5))**(-15)*v**(-5)*(v/v**1)/v)**(11/2) assuming v is positive. v**(33/2) Simplify ((t*t**(5/7))/((t**(4/15)/t)/t))/(t**(-12)*((t/(t/t**11*t)*t)/t)/t) assuming t is positive. t**(677/105) Simplify (x**(3/8)*x**(-3))/(x**(-3/4)/((((x**30/x*x)/x)/x*x*x)/x*x)) assuming x is positive. x**(225/8) Simplify (m/(m*m**2))/(m*m**(-1/9))*(m**1)**(-16) assuming m is positive. m**(-170/9) Simplify (l**12)**(-1/29)*l**(-4)/l*l**(-1/18) assuming l is positive. l**(-2855/522) Simplify m**(-15)/((m**(-1/10)/m)/m)*m*m*m/(m/((m/m**7)/m))*m/m**(-9)*m assuming m is positive. m**(-69/10) Simplify (w**(-3/22)*w**(-13)*w)**(-11/7) assuming w is positive. w**(267/14) Simplify (((s**3)**(-17))**(1/9))**(-8/7) assuming s is positive. s**(136/21) Simplify (a**(-4)*a**(-16))**(-40) assuming a is positive. a**800 Simplify ((o**(-1/3)*o**(4/5))/(o*o/(o*(o**5/o)/o)*o*o*o*o*o**(-2/3)/o*o*o))**(1/2) assuming o is positive. o**(-14/15) Simplify (f/f**(-10)*f/(f/(((f*f**(-10))/f)/f)))/(f**(-1/7)/(f/(f**7*f)*f)) assuming f is positive. f**(-41/7) Simplify (u**(-2/9)/u)**(-5/7)/((u/u**0)/(u*u*u/(u/(u**14/u)*u))) assuming u is positive. u**(874/63) Simplify ((n**1/n)**(1/68)*(n*n/n**(-2/7))**(11/3))**(40/9) assuming n is positive. n**(7040/189) Simplify (v*v*v**(-2/9)/v)**(-4)/(v**(-12/11)/v*v**(-13)) assuming v is positive. v**(1186/99) Simplify ((i**(10/9)*i)/i**3*i**(-2/11)/i*i*i/(i/(i**(-11)/i)))**27 assuming i is positive. i**(-3882/11) Simplify ((w*(w**25*w)/w)/(w**15/w))/(w**(18/11)/((w*w**34)/w)) assuming w is positive. w**(488/11) Simplify (a**(2/13))**48*a**(-2/9)/(a*a/(a*a**9*a)*a) assuming a is positive. a**(1774/117) Simplify (j/j**8)**(-33/5)/(j**(-3/10))**10 assuming j is positive. j**(246/5) Simplify (q*q**(-5))/(q**(-13)/q)*((q**(-1/3)/q)/q)/(q**(1/2)/q*q) assuming q is positive. q**(43/6) Simplify ((t**(-10/3)/(t*t*t/(t/(t*t/(t**(3/4)/t)))))/(((t*t**(-2))/t)/t**(-2/9)))**(-46) assuming t is positive. t**(4807/18) Simplify ((o*(o/(o*(o**(-6)/o*o)/o))/o*(o/(o/(o*o*o**(2/13)*o)*o))/o)/(o**(2/3))**(-43))**(-25/2) assuming o is positive. o**(-17950/39) Simplify u**32/u*u**(-2)*(u**(1/16)/u)**(-10) assuming u is positive. u**(307/8) Simplify (((d*d*(d/(d*(d**(2/5)*d)/d))/d)/d)**(-1/9)*(d*d/d**(1/2)*d)**(3/17))**28 assuming d is positive. d**(10402/765) Simplify ((v**(1/24)/v)**1)**(-44) assuming v is positive. v**(253/6) Simplify (a**(-2/29))**21/(a*a**(-32)*a**(-33)) assuming a is positive. a**(1814/29) Simplify u**(3/32)*u*u**(3/4)*u**(-24)/u**30 assuming u is positive. u**(-1669/32) Simplify (s/((s/s**(1/22))/s))/(s**(-1/5)/s)*(s**0)**(-2/55) assuming s is positive. s**(247/110) Simplify ((z**(-7)*z*z**5)**(-30/13))**(8/7) assuming z is positive. z**(240/91) Simplify f**12*f**12*(f**(1/9))**(7/5) assuming f is positive. f**(1087/45) Simplify (((j**10)**9)**(-3/14))**(-3/4) assuming j is positive. j**(405/28) Simplify ((y*y*y**(1/8)*y/(y/y**(-8)))/(y/((y*y**(2/5)/y)/y))**(-25/2))**6 assuming y is positive. y**(339/4) Simplify (((w/(w/((((w*w**(-3))/w)/w)/w)))/w)/w*w**(3/4))/((w/((w/w**3)/w))/w**(-1)) assuming w is positive. w**(-45/4) Simplify ((u**(1/2))**(-3/26)*(u/u**(2/9))/(u*u*((u*u*u**(-2/3))/u)/u))**(2/31) assuming u is positive. u**(-287/7254) Simplify (q**(2/5))**(-2/19)/((q**(9/7)/q)/q)**47 assuming q is positive. q**(22297/665) Simplify (k/(k/(k*k*k**(-6)*k*k)))**27*(k/(k**(-4/23)*k))/((k*k*(k*k/k**(-2))/k*k)/k) assuming k is positive. k**(-1353/23) Simplify (v**(-4)/v)/v**(1/7)*(v**(-1/2))**32 assuming v is positive. v**(-148/7) Simplify (w**(-3))**49/((w**(2/13)*w)/w*w**(5/6)) assuming w is positive. w**(-11543/78) Simplify ((((d**(-5)/d)/d)/d)/d**(-2/5)*(d*(d**(-1)*d)/d*d)**(-42))**(-4/41) assuming d is positive. d**(992/205) Simplify (z/(z*z**(-3/2)/z)*z*z**(2/3))/(z**0)**10 assuming z is positive. z**(25/6) Simplify p*p**(1/10)*p*p/((p**(9/4)/p*p)/p*p*p)*p/(p*(p**(-2/15)*p)/p)*p*p**(6/5)/p*p assuming p is positive. p**(131/60) Simplify (((g/g**(-12))/g)/g)**(-1/33)/((g*g**1/g)/(g*g*g/g**12)) assuming g is positive. g**(-31/3) Simplify (y**27*(y/(y*((((y**(-2/43)*y)/y)/y)/y)/y))/y*y*y)**(2/71) assuming y is positive. y**(2670/3053) Simplify ((w/(w*w**(-1/12)*w))/w)/(w*w**(-13))*w**(-1/11)*w**17 assuming
{ "pile_set_name": "DM Mathematics" }
a = 1 + -2. Let m be -2 + 7 - 2*a. Suppose 0 = m*l - 2*l - 30. Solve -4 - l = -5*j for j. 2 Let t(f) = 2*f - 2. Let n be t(4). Solve 3*v = 5*v - n for v. 3 Suppose -q + 4*r = 22, 2*q = -r - 8 - 0. Let i(l) = -l**3 - 7*l**2 - 6*l. Let y be i(q). Let u be y - -2*1 - -1. Solve -8 = -u*t - t for t. 2 Let a = -45 + 25. Let j = a + 20. Solve j = -5*q + 2 + 13 for q. 3 Let z(c) = -c**3 - 7*c**2 + 7*c - 7. Let x be z(-8). Let h be x/(-3) + (-4)/(-12). Suppose u + j = 7, -10 = 5*u - 4*j - h*j. Solve -t - u*t = -15 for t. 5 Let n be (2/(-3))/(7/147). Let o = -7 - n. Solve 5*h + 8 + o = 0 for h. -3 Let z = 0 - -11. Let i be 1/(((-1)/(-5))/1). Suppose 2*q + i = z. Solve 0 = q*w - 2*w - 5 for w. 5 Suppose 30 = 3*n + 2*n. Let p = 9 - n. Solve -2 = -p*y - 8 for y. -2 Let t be 0 + 1/(-2)*24/(-2). Solve 2*i + 4 = t*i for i. 1 Suppose 0 = v + 2*v + 27. Let o be (3/v)/(2/(-12)). Let p be (-1*o)/(-4 - -2). Solve -4*b = -3*b - p for b. 1 Let g(u) = -u**2 + 10*u + 41. Let c be g(13). Solve -c*b = b for b. 0 Suppose v - 2*v = 19. Let s = 27 + v. Suppose -4*t - s = 0, 2*t - 4 = 5*r + 4*t. Solve r*d - 25 = 5*d for d. -5 Let n(r) = -r**3 - 5*r**2 - r - 5. Let t be n(-5). Suppose 4*x = -2*b + 3*b - 6, x + 1 = t. Solve 3*o + b*o = 25 for o. 5 Let n be (0 - 0)/(0 - 2). Solve 2*w = -n*w + 10 for w. 5 Let r(v) = -v + 4. Let c(w) = -5*w + 21. Let f(q) = 4*c(q) - 22*r(q). Let o be f(4). Let t be (-3)/((-6)/o) + 0. Solve -z = -t*z + 5 for z. 5 Let r(v) = -v**3 - 7*v**2 - 10*v - 9. Let g be r(-6). Let d = g + -11. Solve -x - d = x for x. -2 Let a(l) = l**2 + 4*l + 3. Let o(b) = -2*b**3 + 2*b**2 + 2*b - 1. Let g be o(2). Let k be a(g). Solve 0 = -4*v + k*v for v. 0 Let i(x) = x**2 + 5*x - 10. Let z be i(-7). Solve 6 - z = 2*a for a. 1 Let z(l) = l**3 + 7*l**2 + 8*l + 12. Let q be z(-6). Solve i + 1 = -q*i for i. -1 Suppose 0*d - 43 = -2*d - 5*r, -2*r + 37 = 3*d. Let q = d + -6. Solve q*b - 7 = 5 for b. 4 Let h = -21 + 24. Suppose -2*n + 3*b = -n - 18, -4*b - 68 = -5*n. Solve -h*w = w - n for w. 3 Suppose -8*s + 11 = -5. Solve 3 = -5*w - s for w. -1 Let z = 40 + -38. Solve z = -k + 1 for k. -1 Let j = -7 - -7. Solve j = -2*t + 1 + 1 for t. 1 Suppose -3*y = -2*y - 2. Let c be ((-2)/(-4))/(y/24). Let p be (-37)/(-7) - c/21. Solve -p*v = -5 + 30 for v. -5 Let a(q) = -q**2 + 6*q - 2. Suppose 2 = 3*w - 2*w. Let n be w*(1/2 - -2). Let j be a(n). Solve j = -0*d - d for d. -3 Suppose 19 = -11*j + 52. Solve -j*u - u - 20 = 0 for u. -5 Suppose -2*g - l = -7, -4*g = 3*l - 12 + 1. Suppose g = 4*w - 3. Solve w*p - p - 3 = 0 for p. 3 Suppose -c - 12 = -3*n, -c = -4*n - 5 + 21. Solve 4*q = -c*q - 8 for q. -2 Let j = 13 + -7. Let y be ((-45)/j)/3*-2. Solve y*k = k for k. 0 Let u be (-2)/6*6*-1. Let v be 3/2*u/3. Let l = 2 + 1. Solve -l*y = -2*y - v for y. 1 Suppose 10*z - 6*z = 8. Let h be ((-1)/z)/((-2)/12). Solve h*i = -i for i. 0 Suppose 3*f - 2 - 1 = 0. Solve -1 = -m + f for m. 2 Let g = -8 + 11. Suppose -3*a = 4*l + g - 21, 0 = -4*l. Let r = 4 + a. Solve r = -5*s - 10 for s. -4 Suppose 0 = -3*z - 0*z + 9. Suppose 4*w = z*w + 7. Suppose -4*r = -1 - w. Solve 4*u = r*u - 2 for u. -1 Let n = -6 + 11. Suppose -4*h + 18 = -5*x, n*h - x + 0*x = 12. Solve -5 = 7*a - h*a for a. -1 Suppose 5*q - 10 = 3*p, 0*q + q = -2*p + 2. Let m be (q/6)/(3/27). Suppose 0 = 3*n - 9, m*f - 3 = -0*f - n. Solve f = -2*b - 0*b + 4 for b. 2 Let o = -9 + 17. Let q(y) = -y + 8. Let z be q(o). Solve z = n + n for n. 0 Let i be (-69)/(-23) + (-2 - 1). Let x be (0 - (-1 - -4))*-1. Solve -x*b - 12 = -i for b. -4 Let g = 42 - 18. Suppose -g = -3*o + 5*q, 3*o + q = -3*q - 3. Solve -o*p = p for p. 0 Let d = 9 - 7. Let j be -1 - (-2 + (-1 - 9)). Suppose -2 = -w - r + 4, -r + j = d*w. Solve 15 = -2*x + w*x for x. 5 Suppose 0*z = -2*z + 10. Suppose -5*s + 25 = 2*y, 4*s + z*y = 5 + 15. Solve -1 = x - s for x. 4 Let k(g) = g**3 - g**2 - g + 2. Let z be k(2). Solve z*v + 8 = -0*v for v. -2 Let o(n) = -3*n**3 - n**2 + n + 1. Let q be o(-1). Solve q*x = -2*x + 20 for x. 5 Let l be (-3)/((-3)/(-6) - 1). Suppose -4 = l*q - 2*q. Let f be 3 - -4 - (-2)/q. Solve -f*p + 10 + 5 = 0 for p. 3 Let q = 0 - -2. Suppose 4*v + v = -4*a + 19, -31 = -5*a + v. Solve -q*h = h + a for h. -2 Let v be (-16)/(-2) - 6/2. Let z = -5 + v. Solve 0*j + 2*j - 2 = z for j. 1 Suppose p - 2*h = 15, -4*p = 2*h - 0 - 30. Let i(t) = -3*t**3 + t - 2. Let o be i(-2). Suppose -o = -4*v - v. Solve v*f = f - p for f. -3 Let f(k) be the third derivative of k**6/120 - k**5/30 + k**4/24 + k**3/3 + 6*k**2. Let c be f(2). Solve -c*r + 0 + 12 = 0 for r. 3 Let o(u) = 2*u**2 + 1. Let v = -6 - 1. Let n(i) = -i - 6. Let a be n(v). Let j be o(a). Solve 0 = 3*x - 4*x + j for x. 3 Suppose 2*p + 2*p - 40 = 0. Suppose -4*h = -2*h - p, -3*n + 1 = -h. Solve -6 = -0*s - n*s for s. 3 Let u = 35 + -31. Solve -u*i + 2 = -6*i for i. -1 Let z(v) = v + 12. Let o be z(-2). Solve 0 = 4*p - 6*p + o for p. 5 Suppose 4*v - 5 - 3 = 0. Suppose b - v*x - 3 = -x, 4*b + 4*x + 4 = 0. Let d be (-1)/(-1)*(1 + b). Solve -3 = -d*a + 3 for a. 3 Suppose 2*m = -t + m + 7, -m + 13 = 4*t. Suppose -12 = g + 2*g, -2*x = 2*g + 2. Suppose 5*o + t*v - 16 = 6*v, 0 = -x*o + 5*v + 7. Solve -o*b = -7*b - 3 for b. -1 Let q be 6/7 + 6/42. Solve 4*l - 11 = q for l. 3 Let c be (10/(-6))/((-2)/6). Solve -3*k - c = 2*k for k. -1 Let b be ((-1)/(-4))/(8/128). Solve -b*k + 8 + 0 = 0 for k. 2 Let u be 3*(16/3 - 3). Suppose 2 = 4*x + 3*a, -3*x + 8 = -4*a - 6. Solve -x*h = -u*h for h. 0 Suppose 3*s = -2 - 4. Let q be (2 + (-3 - s))*1. Solve -l - q = 3 for l. -4 Let i(s) = -s**2 + 9 - 2*s**2 + 3*s**2 - s + s**2. Let f be i(0). Let z = f - 8. Solve -k = -z + 2 for k. -1 Suppose 0 = 2*i + 3*i - 10. Let s(u) = u**3 - 12*u**2 + 12*u - 5. Let t be s(11). Suppose i*b - t = 16. Solve 2*y - b + 3 = 0 for y. 4 Let y be ((-81)/45)/(3/(-10)). Solve 2*o = y*o - 20 for o. 5 Let k = 6 - 4. Let q be -2 - k*(-6)/4. Solve 4*t - q = -5 for t. -1 Let d(j) = -j + 1. Let s(m) = 4*m - 2. Let p(l) = 21*d(l) + 6*s(l). Let g be p(-3). Solve g*k = -2*k - 10 for k. -5 Suppose -2*j - 19 = -5*t + 4, -28 = -4*t + 4*j. Solve -p = -1 - t for p. 4 Let z = 4 + -4. Solve 2*r - 5*r = z for r. 0 Let s be ((-2)/1)/((-2)/3). Let c be 292/20 + (-4)/(-10). Solve s*z = 6*z + c for z. -5 Suppose 0 = -s + 1. Let g = s - -3. Let m(f) = -f - 1. Let n be m(-1). Solve n*r = -4*r - g for r. -1 Let w(s) = -s - 7. Let z be w(-10). Let c be 20/12*z - 2. Solve 3 = 3*y - c for y. 2 Let r(b) = -2*b - 4. Let n be r(-13). Solve -n = 3*c - 7 for c. -5 Suppose 0 = 9*d - 5*d. Solve d = 2*b - 5*b for b. 0 Suppose 3 = 4*q + 3*f, 3*f - 5 + 2 = q. Suppose q = -3*k + 6*k - 12. Suppose -d = -k*m + 4, 2*d - 4 = -4*m + 12. Solve -d*t + 0*t - 12 = 0 for t. -3 Let y(j) = 6*j + 1. Let g(a) = -5*a - 1. Let h(p) = 5*g(p) + 4*y(p). Let w be 20/8*-2 + 0. Let m be h(w). Solve k - m*k - 9 = 0 for k. -3 Let q be (-21)/(-14)*10/(-3). Suppose -4*n - 2 = -42. Let w = q + n. Solve i = -0*i - w for i. -5 Suppose -4*z - 2*g = 2, 3*z + 0 = -2*g - 2. Suppose 3*j + 100 = 8*j. Solve z = -m - 3*m + j for m. 5 Suppose -32 = -5*m + 28. Suppose 3*n = n - 10. Let x(z) = -z**3 - 4*z**2 + 5*z + 4. Let b be x(n). Solve m = -b*j + j for j. -4 Let b = 15 - 11. Suppose 12 = -b*k - 4*z, 3 = 5*k - 0*z - z. Solve k = 4*a - 2*a - 4 for a. 2 Let n(l) = -l**2 + 6*l - 5. Let p be n(5). Let a be (-3 - p)*1/(-1). Solve -a*s - 6 = -3 for s. -1 Suppose 4*r + 3 = -5*i, -5*i + 0 + 9 = -2*r. Let q be (-2)/(0 + -2) - i. Solve 0 = -q*u + 5*u + 10 for u. -2 Let j be 120/16 - (-2)/(-4). Solve 0 = -5*a - 3 - j for a. -2 Suppose 11*s = 10*s. Solve -q + s + 3 = 0 for q. 3 Let o be 10/(((-2)/(-3))/((-9)/(-27))). Solve 0 = o*m - 9*m - 20 for m. -5 Suppose 6*w - 4*w - 6 = -2*f, 0 = 3*w. Solve -10 = -f*a + 2 for a. 4 Suppose -5 - 1 = -3*h. Solve -2*g - h = -g for g. -2 Suppose -12 = 3*o + 5*a, 5*o + 20 = -a + 5*a. Let b = 6 + o. Let d be (-21)/(-5) + (-1)/5. Solve b*i + d = -2 for i. -3 Suppose 9*l + 13*l = 66. Let z be -6 + 0 + 2/1. Let a be (6/4)/((-3)/z). Solve l = -c - a*c for c. -1 Let l be (-1 - 2)/((-3)/15). Suppose -3 + l = 3*m. Suppose -5*t + 45 = -w + 2*w, -3*t - m*w + 10 = 0. Solve -6*p - t = -p for p. -2 Suppose -4*o - 7 - 1 = 2*m, o = m - 8. Solve 5 = -m*x + 17 for x. 3 Let h(b) = -b**2 - 5*b + 8. Let k(j) = 4*j + 1. Let q be k(2). Suppose -
{ "pile_set_name": "DM Mathematics" }
t common factor of k and 11. 11 Let g = -845 - -910. What is the highest common factor of 91 and g? 13 Suppose 0 = -3*c - 3 + 9. What is the highest common factor of 7 and c? 1 Let p(r) = -32*r + 5. Let u be p(3). Let k = u + 199. What is the greatest common factor of k and 12? 12 Suppose -6*b = -2*b - 4. Let n be (b + 42/(-2))*1. Let p be -55*(32/n + 0). Calculate the highest common divisor of p and 8. 8 Let b(a) = a**2 - 8*a - 5. Let t(o) = 10*o**3 + 2*o - 2. Let v be t(1). Let y be b(v). Let p be 602/8 + (-2)/8. What is the highest common divisor of y and p? 15 Suppose 0 = -4*g + 2 - 10. Let t be g/(-7) + (-216)/(-28). Calculate the greatest common divisor of t and 88. 8 Suppose -43*y = -2956 - 2656 + 1355. Suppose -13 = -4*d + 31. Calculate the greatest common factor of y and d. 11 Let q = 74 + -38. Let c = 9 - 8. Let s be 15 - (4 - 1)*c. Calculate the highest common divisor of q and s. 12 Suppose -2*x - 206 = -4*c, -6*c + 5*x = -3*c - 165. Suppose 9*o - 34*o = -400. Suppose 39 = o*u - 281. Calculate the greatest common divisor of u and c. 10 Let i be 4/(2*(-1)/(-4)). Let x(z) be the second derivative of z**4/12 - z**3/2 + 2*z**2 + 5*z. Let n be x(7). What is the greatest common factor of i and n? 8 Suppose 2*w - 152 = 4*o, 0*w - 56 = -w - 2*o. What is the greatest common divisor of 528 and w? 66 Let x(d) = d + 19. Let c be x(-20). Let f(o) = -56*o**3 - o**2 - o. Let y be f(c). Calculate the highest common factor of 16 and y. 8 Let s = -296 + 328. What is the greatest common factor of s and 112? 16 Let c(h) = -h**2 + 115. Let f be c(0). Let p be 4/26 + (-5049)/(-221). Calculate the greatest common divisor of p and f. 23 Let f(j) = j**2 + 20*j - 56. Let y be f(-25). What is the highest common factor of y and 39? 3 Let o(r) = -r**3 + 3*r**2 + 4*r + 4. Let z be o(-2). Calculate the greatest common factor of z and 184. 8 Let o = 438 + -416. Calculate the greatest common divisor of 88 and o. 22 Let n = 54 + -29. Suppose 4*z - 29 = -n. What is the greatest common factor of 9 and z? 1 Let t be 26 + 0/(0 + 1). Let c = t - -2. Let r be 42 - (2 + -2)*7/14. Calculate the greatest common divisor of c and r. 14 Suppose 8*r + 69 = 381. Calculate the highest common factor of r and 13. 13 Let c = -2037 - -2784. Calculate the highest common factor of c and 83. 83 Suppose 0*r + 2*r + 2*x + 150 = 0, -71 = r + 2*x. Let i = 127 + r. Calculate the greatest common factor of 32 and i. 16 Let c = 219 + -201. What is the highest common factor of c and 54? 18 Suppose 630 = 796*t - 794*t. What is the greatest common divisor of t and 350? 35 Let t be -100 + 1*1/((-2)/(-2)). Let k = -64 - t. Calculate the highest common divisor of k and 7. 7 Let i = -23 + 18. Let z be (2/i)/(13/(-1365)). Calculate the highest common factor of z and 210. 42 Suppose 10*k = 9*k + 50. What is the highest common factor of 425 and k? 25 Suppose -6 = -7*b + 5*b. What is the greatest common factor of b and 16? 1 Let f = 44 + -8. Let w be (35/(-21))/((-1)/42). Let j = w - 46. Calculate the greatest common divisor of j and f. 12 Suppose -4*z + 15*v = 12*v - 4493, -1109 = -z - 4*v. Calculate the greatest common divisor of z and 59. 59 Suppose 4*w + 62 + 330 = 3*i, 3*w = -4*i + 481. What is the greatest common factor of i and 186? 62 Let q = 83 - 92. Let r = 6 - 23. Let g = q - r. What is the highest common divisor of 32 and g? 8 Let g be (-11 - 988/(-20)) + 3/5. Calculate the greatest common divisor of 117 and g. 39 Suppose 156 = 3*u - 684. Let r = -246 + 351. Suppose -8*n + r = -5*n. What is the highest common factor of n and u? 35 Let y be (-4)/(-6) + 20/6. Let q be (-2)/4 + 10/y. Let d be 120 + 4/(q*-2). Calculate the greatest common factor of d and 17. 17 Suppose 38 = -3*x + 113. Suppose 0 = -q + 6*q - x. Let y(b) = 2*b**2 + 2*b - 5. Let z be y(q). Calculate the greatest common divisor of 11 and z. 11 Let f(o) = 2*o - 4. Let r be f(4). Let b be r/(-2)*(-19 - 4). Let w = b - 22. What is the highest common factor of 120 and w? 24 Let y be 124/10 + ((-36)/30)/3. Let q = 12 - 9. What is the greatest common factor of y and q? 3 Suppose 4*l = -p + 1550 - 206, -4*l - 2*p + 1344 = 0. Calculate the highest common divisor of l and 126. 42 Let m = 589 + -189. Calculate the highest common factor of m and 25. 25 Let q = 10 - -177. What is the highest common factor of 11 and q? 11 Suppose 45 + 3 = 3*z. Let y be 1760/z - (-1 - -1). What is the greatest common divisor of 22 and y? 22 Let a(s) = 16*s**3 + 2*s - 3. Let k be a(1). Calculate the highest common divisor of k and 135. 15 Suppose 2*x - 4*n = 28, -4*n = 4 - 0. Calculate the greatest common factor of 180 and x. 12 Let f be (-2)/7*(-4 - (6 - 3)). What is the greatest common divisor of f and 218? 2 Let i(t) = -t + 90. Let s be i(0). Let a be 30/(-4)*2808/(-585). Calculate the highest common divisor of a and s. 18 Let p(t) = 10*t + 30. Let x be p(7). Suppose 0 = 2*o - 4, 3*n - x = o - 6*o. Calculate the highest common divisor of n and 40. 10 Suppose 2*s - 35 = -3*v, 7*v - 16 = 3*v + 5*s. Suppose 0 = v*c - 4*c - 130. Let o = 47 - 34. What is the highest common divisor of o and c? 13 Let d(p) = 10*p + 0*p - 11*p. Let c be d(-7). What is the highest common divisor of 21 and c? 7 Let p = 6 - 1. Suppose 4*x - 20 = x + d, -p*x - d = -20. Suppose -41*l + 51*l - 150 = 0. What is the greatest common factor of l and x? 5 Let q = -1559 + 1566. Calculate the greatest common factor of 12 and q. 1 Suppose 0 = -o - 4*o + 450. Suppose 0 = 3*l - h - 32, -3*l + 3*h + 36 = -0*l. What is the highest common factor of o and l? 10 Let u = 12 - 1. Let w(x) = -x**2 - 25*x + 7. Let d be (-25)/25 + 9*-2. Let l be w(d). What is the highest common factor of l and u? 11 Let f = -592 - -603. What is the greatest common factor of 9 and f? 1 Let p be 7016/26 - (-10)/65. Calculate the highest common divisor of p and 30. 30 Suppose 2*q = -2*t + 50, -38 = -5*q + t + 105. Let i = 68 - q. Suppose 0*f + 2*w + 30 = 3*f, -f + w = -11. What is the greatest common divisor of f and i? 8 Let d = 406 + -286. Calculate the greatest common divisor of d and 72. 24 Let o be (18/8)/((-31)/(-32) + -1). Let f = o + 108. Calculate the greatest common factor of f and 396. 36 Let w = 201 - 193. Let r be (2/(-5))/((-8)/400). Calculate the greatest common factor of w and r. 4 Suppose -102 = v - 128. What is the greatest common factor of 598 and v? 26 Let k be (2 - 4)/(-2) - -69. Suppose 2*o = 3*i + 35, 0 = -4*o + 4*i + 60. Calculate the highest common divisor of o and k. 10 Let i be 79/6 + 1/(-6). Suppose 5*s + i - 68 = 0. Calculate the highest common factor of 121 and s. 11 Suppose -2*z - 4*n + 38 = 0, -3*z + n - 2 = -73. Let d(p) = 8*p**3 - 7*p**2 + 8. Let q be d(3). What is the highest common factor of q and z? 23 Let q be 36/6 + (-78)/9*-9. Calculate the greatest common divisor of 532 and q. 28 Suppose 2088 = 16*x - 11272. Calculate the greatest common factor of 10 and x. 5 Suppose 10*n = 777 - 87. What is the greatest common factor of n and 23? 23 Let x be (-7 - -12) + (3 - -2). Suppose 4*m = 2*m + 4*z + 88, 0 = 2*m + z - 78. Calculate the greatest common divisor of m and x. 10 Let u(j) = j**2 + 16*j - 29. Let f be u(-20). Suppose 2*v - 2*d - 30 = v, -2*v + 76 = 4*d. Calculate the greatest common factor of f and v. 17 Let z be (6/(-15))/(6/(-45)). What is the greatest common divisor of z and 2? 1 Suppose 5*y - 248 = 192. Let c = 132 - y. Calculate the highest common factor of 22 and c. 22 Suppose 5796 = -108*s + 114*s. What is the highest common factor of 42 and s? 42 Let h(f) = -109*f + 1. Let g be h(-1). Let m = 1176 + -1132. Calculate the greatest common divisor of m and g. 22 Let d be 0 + 2 + 27 + 0. Suppose -2*v - 2*r + 251 = v, 3*v - 4*r = 281. Calculate the greatest common divisor of v and d. 29 Let q(l) = l**3 - l**2 - 2*l - 1. Let n be q(-1). Let r be 4/2 - 8/n. Calculate the highest common divisor of r and 10. 10 Let w = 24 - 2. Suppose 2*d = w + 4. Suppose 4*m - 375 = 93. What is the highest common factor of d and m? 13 Let q = 269 - 261. What is the greatest common factor of 2 and q? 2 Suppose -3*q + q + 10 = 0. Let h(g) = 2*g**3 - 4*g**2 - 7*g + 9. Let m = -61 - -65. Let k be h(m). Calculate the highest common divisor of k and q. 5 Let l = -348 + 355. What is the greatest common divisor o
{ "pile_set_name": "DM Mathematics" }
ose -4*g - 5*w = -19 - 15, 5*w + 10 = 0. Suppose 65 = -14*v + v. Let k be 6*5/(-25)*v. Solve m = -1, -4*r + k = -m - g for r. 4 Let w be -2 + (-5)/(-3) + (-1911)/(-117). Suppose -5*s - 4*u + w = -0*s, 4*s - 5*u = 21. Solve -m = -4, 0 = -s*n - 0*m + 2*m - 16 for n. -2 Let i be (-12)/72*4 + (-592)/(-24). Solve 5*s - 25 = 0, -r - 11*s - i = -16*s for r. 1 Let b(l) = l**2 + 7*l - 2. Suppose 3*h = 2*j - 23, -2*h - j - 38 = h. Let n be b(h). Let d = n - 39. Solve 4*r + 2 = 2*w, 3*w = 2*w + d for r. 1 Let x = 44 - 41. Let j = 4 - x. Let t be ((-3)/j - (1 + 0))*-1. Solve 5*n = -t*p + 6 + 1, 4*n - 3*p = 18 for n. 3 Suppose -2*r - 5*z + 29 = 0, -5*z + 14 = -11. Let v(b) = -2*b + 39. Let d = 11 - -6. Let k be v(d). Solve o - 8 = -h, k*o + r*h = -2*h + 35 for o. 3 Suppose 3*l - 5*l + 4*o = 8, 0 = -2*l + 2*o. Let c(g) = 7*g + g + 15*g + 42 - l*g + g**2. Let v be c(-17). Solve -3*a - 7 = -4*i, -5*i = 5*a + v + 27 for a. -5 Let z(a) = a**2 + a - 21. Let f be z(5). Let l(k) = 3*k - 5. Let c be l(f). Solve -3*x - 3*m = 15, -6*x - c = -x + 4*m for x. -2 Let x = 3853 + -3844. Solve 5*y = -3*s + x, 24*s = 27*s + 6 for y. 3 Let z be 178*(-3)/(-4)*16/12. Suppose -5*m + z - 18 = 5*l, 36 = m + 2*l. Solve -4*y + 2*k + 10 = 5*k, -4*k = -5*y + m for y. 4 Let n be (3/12)/((-1)/(-20)) - 3. Let u(j) = -4 - j - j**3 + 5 - 8*j - 8*j**n - 9. Let f be u(-7). Solve -5*s + k - 10 = f*k, 2*s + 4*k = -6 for s. -1 Let i = -2839 + 2844. Solve -w - 4*p = 0, i*w + 19 = 2*p - 3*p for w. -4 Suppose -13*y = -9*y. Let l be y + ((-32)/(-20))/((-2)/(-5)). Suppose 0 = -l*v - 0*v + 64. Solve -28 = -3*r - 5*g - 2, -5*g = -2*r - v for r. 2 Let c = 224 - 219. Suppose 2*o - 3*k = 3*o - 16, o - 20 = -4*k. Solve c*h - 24 = -s, 3*h - h - o = s for h. 4 Suppose t + 11 = 4*y + 6, t = -2*y + 7. Suppose -23*o + y*o = 0. Solve -2*k - 3*b = -0*b + 20, o = k + b + 8 for k. -4 Let i be 11 + -10 + -2 + (-3 + 7)*1. Solve -5*c = 2*t + 31, i*c + 8*t - 4*t + 27 = 0 for c. -5 Let f(y) = -12*y**3 - 3*y**2 + y - 28. Let d be f(-4). Let k = -686 + d. Solve -5*h - 10 = -k*n - n, n - h = 4 for n. 5 Let l(u) = -u**3 + 6*u**2 - 7*u. Let z be l(5). Let d be 15/z*(-80)/15. Solve 0 = 4*f - 3*q - 10, -2*f + 2 = q - d for f. 4 Suppose -u = 3*b, -b = 8*u - 4*u. Suppose -2*o - c + 4*c + 22 = u, 2*c + 3 = -o. Solve -5*q + 5 = -5*v, 3*q - v = -2*q + o for q. 1 Suppose -3*t + 42 = 12. Let d be (-24)/t*45/6. Let b(k) = -k**2 - 18*k + 2. Let r be b(d). Solve -r*v = 3*l - 9, -2*v = -4*l - 6*v + 8 for l. 5 Suppose 0 = 4*y + 2*p - 28, 5*p = -2*y - 2 - 0. Suppose 0 = 68*o - 65*o + 2*t - y, -20 = -o + 5*t. Solve s - o = -3*r, -r + 1 = 3*s + 2 for s. -1 Let f(w) = -2*w**2 - 109*w - 702. Let p be f(-47). Solve 4*c - 29 = -p*g, 0 = 5*g + 5*c - 132 + 92 for g. 3 Let f(t) = -4*t + 11. Let g be f(4). Let v = g + 8. Let y(x) = x**2 - 12*x + 13. Let n be y(11). Solve v*h = -4*u + 17, 4*h + n*u - 2 = 7*u for h. 3 Suppose 0*t - t = -10. Let d(o) = -2*o**2 - 132*o - 253. Let n be d(-64). Solve 0 = -0*l - 2*l - t, -p + n*l + 13 = 0 for p. -2 Let d(o) = -4*o**2 - 185*o - 46. Let f be d(-46). Solve -5*m - 20 = f, 5*c + 2*m + 29 = 16 for c. -1 Suppose -3*n + 4*n - 203 = -2*f, 2*f = -5*n + 191. Suppose 12*i - 41 - f = 0. Solve -3*l = -v + i, v + l = 3*l + 7 for v. -3 Let o = -67 - -91. Let u(f) = 2*f**2 + 7*f - o*f - 7 - 19*f + f. Let n be u(18). Solve -4*t - 3*m - 32 = 0, 0*t - 3*t - n = -m for t. -5 Let y be ((-49)/245)/((-2)/110). Solve 5*i + x - 21 = 0, 3*i - 2*x - y = -1 for i. 4 Let u(d) = -4*d**2 - 12*d + 35. Let g be u(10). Let l = g + 499. Solve j - 3*a - l = 2*j, -2*j - a = 13 for j. -5 Suppose 3*b = 5*j + 40, -2*j - 3*j - 10 = 0. Suppose 2*u = -3*g + 15, -3*u - g + 16 = 11. Suppose -b*v + 6*v = u. Solve 0*m = -5*c - m - 21, v = 2*m - 8 for c. -5 Suppose 0 = 4*l - 0 - 12. Let k(j) = -j**3 - 34*j**2 - 69*j - 157. Let x be k(-32). Suppose -4*g = -0*g. Solve g = z - 0*z - 2*a + l, a - 12 = -x*z for z. 3 Let m(c) = 0*c**3 + 102 - 282 + 122 - 7*c**2 - c**3. Let o be m(-8). Solve -v + 2*r - 9 = 0, 2*r + o = v + 3*r for v. 1 Let t(f) = -13*f - 68. Let r be t(-6). Suppose 0 = 5*u + r, -q = q + 5*u + 4. Solve 0 = -2*w - 3*w - q*c - 25, w + c = -7 for w. -2 Let i = 29 - 5. Let h be (-1850)/(-185) + 1*(-7 + 1). Suppose 3*p = b + 4*b - 13, -2*b + 3*p = 2. Solve -20 = x - h*w, -x + b*w - i = 1 for x. 0 Let f(o) = -2*o**3. Let h = -29 - -31. Suppose -h*l - 3 = -1. Let u be f(l). Solve 5*g + u*b = 27, 0*b = -g + 4*b + 1 for g. 5 Let u be (-4)/8 - (-19)/2. Suppose 3*y + u = -l, 4*l - l + y - 5 = 0. Solve 0 = 5*f - 5, l*f - 2 = 2*a + 7 for a. -3 Let q be (10/5 - 2)/(-2). Suppose 0 = -5*r - k + 26 - 437, q = -r - 2*k - 75. Let w = r + 85. Solve 0 = 2*m + 3*j + w, 4*m - 4*j - 10 = -3*j for m. 2 Let d = 5413 + -5408. Solve 0 = -d*u + 2*m - m - 25, -3*u + 3*m = 27 for u. -4 Suppose x - 7 = h - 3*h, 2*h - 5*x - 1 = 0. Let r = -63 - -67. Let l(y) = y**2 - 4*y + 5. Let w be l(r). Solve 5 + 10 = w*f + h*j, 4*f = -j + 12 for f. 3 Let l(i) be the first derivative of i**4/4 - 7*i**3/3 - i**2/2 + 9*i - 4. Let m be l(7). Let k be (12/m)/2 + 0. Solve 5*o - 4*n = 19, k*o + 5*n - 2 = 2 for o. 3 Suppose -286 = 9*r - 1105. Let g = -86 + r. Solve 4*y - 2*m = 6, -2*m = 3 - g for y. 2 Suppose 267*v - 133 = 248*v. Solve 5*o + v = -15*a + 13*a, o = -4*a - 5 for a. -1 Let f(s) = s**3 - 4*s**2 + 2*s + 7. Suppose r - 2*b + 2 = 9, -3*r = 3*b - 3. Let c be f(r). Solve 0 = 5*y + c*v + 29, -2*y - 2*v - 2*v - 14 = 0 for y. -5 Let l be (8/(-11))/(20/(-110)). Suppose -2*k - 12 = -7*k + l*j, 2*k - 5*j + 2 = 0. Solve -4*t + 17 = 3*h + k, 4*h - 8 = -3*t for h. -1 Suppose 5*j = 0, 2*f + 6 = 4*f + 4*j. Suppose -5*p - 18 - 7 = 0, -40 = -w + f*p. Solve -2*z + 0*q + 2*q = -8, 0 = -5*q - w for z. -1 Let c = 445 - 446. Let w(t) = -62*t - 58. Let x be w(c). Solve -n + r = -7, -x*n + 4 = 2*r - 0*r for n. 3 Let r(d) = d + 4 + 0 - 2*d. Let l be r(4). Let p = 90165 - 90161. Solve g = -i + 2, 4*g + i + p = -l*i for g. -2 Let g be (16/14)/((-48)/1848*-11). Solve -j - x = -7, 9 = 3*j + x - g*x for j. 5 Suppose 232*x - 212*x = 180. Let c(u) = -6*u + 2. Let r(v) = 7*v - 2. Let h(o) = -5*c(o) - 4*r(o). Let q be h(x). Solve 2*j = -2*a + q, 2*j = -0*j + 6 for a. 5 Suppose -4*l + 20 = -0*l. Suppose 2*a - n - 3*n = 22, 5*a - 80 = l*n. Solve 5*w = -0*w + 4*d - a, -d - 11 = 2*w for w. -5 Let x be (120/(-36))/(4 + 56/(-12)). Suppose 3*t = -x*d - 11, t - 9*d = -13*d - 13. Solve v - 6 = -2*n, 5*v + 1 = t*n - 8 for n. 3 Let v = 7334 + -7330. Solve -5*i + 2*c - 22 = 5*c, v*c + 6 = 5*i for i. -2 Suppose -6*m + 10*m = 12. Suppose r + 5*g = -6, 0*r = -r + m*g + 10. Suppose -3*o - r = -5*o. Solve 2*h = 6*a - 2*a - 22, o*h = -a + 3 for a. 5 Let s(j) = -j**2 + 111*j - 1520. Let f be s(95). Solve -3*c + 6 = f, 5*c = 12*m - 14*m + 14 for m. 2 Let v = -11 + 13. Suppose 6*k = 11*k + 40. Let r(n) = -2*n - 16. Let g be r(k). Solve -5*u + 30 = m, g*u + 2*u - 20 = -v*m for u. 5 Suppose 0 = -3*k + 5*r - 6, 5*k + r + 6 = 24. Suppose -3*z + 15 = 0, a - 3*a = -k*z + 5. Suppose f = -a*f + 18. Solve -4*s + g = -17, 7*s - f*s + 2*g = 2 for s. 3 Let g = -8003 + 8013. Solve 5*q - g + 6 = 2*j, -2 = -q for j. 3 Suppose -8*r + 3 = 3*p - 3*r, -2*p = 2*r + 2. Let a be p + (1 - 7/(-1)). Suppose 7*x - 6*x = a. Solve 4*i - 5*i = 2*d, -4*i - 4*d = -x for i. 2 Let f be 11 - ((-630)/15)/7. Solve 0 = -x - 2*z + 4 - f, 5*z + 26 = 4*x for x. -1 Suppose c + c - 14 = -3*r, 2*r = 3*c - 8. Let k = 10 + r. Let v(z) = -z**3 + 13*z**2 - 13*z + 13. Let a be v(k). Solve 5*b = -5*t + 24 + a, 3*b = t + 7 for t. 2 Let r(p) = 2*p**3 - 3*p**2 - 2*p - 3. Suppose 0 = -d + 38 - 2. Let s = 39 - d. Let g be r(s). Solve -3*c - 10 = 6*w - w, 2*w + g = -4*c for w. 1 Let u(i) = 50*i**2 - 3*i + 7. Let v be u(-3). Let w = v - 458. Suppose 3*y - 5*o = -0*o + 24, 3*o = -2*y - 3. Solve 0 = -4*p - w, -2*h - 2 = -y*p - 0 for h. -4 Let g = -11813 - -11820. Suppose 0 = 2*q - q - 5. Solve -7 = -4*x + 5, 4*x = q*a + g for a. 1 Let o(u) = u**3 - 7*u**2 - 10*u + 32. Let s be o(8). Solve 0 = 3*l, -3*x = -4*l + 10 - s for x. 2 Suppose 153*k = -84*k + 474. Solve 2*m - 4 = 6*z - k*z, -4*m - 1 = -5*z for m. -4 Suppose 4*d + 13*a - 10*a - 55 = 0, -d - 3*a + 25 = 0. Let i be d/(-2) - 96/(-12). Solve i*j + 4*h = 19, 4*j - 2*h - 2*h = 16 for j. 5 Let r be ((-6)/(-15))/(((-6)/(-55))/6). Suppose r*w
{ "pile_set_name": "DM Mathematics" }
3) assuming u is positive. u**(152/13) Simplify (w*w**(6/11)/w)/((w**(-7)*w)/w)*(w*w*w**6/w)/(w*w**(3/4)) assuming w is positive. w**(563/44) Simplify ((s**4)**29)**(-15) assuming s is positive. s**(-1740) Simplify p**8*p/p**(-24/5) assuming p is positive. p**(69/5) Simplify ((s/((s/(s**(-1)/s))/s))/s)/s*s*s/((s*s**(-17)/s)/s) assuming s is positive. s**17 Simplify (p/p**5*p*p**(1/7)*p)/(p**0/p**(-4)) assuming p is positive. p**(-41/7) Simplify ((h/(h*h*(h**(7/9)*h)/h*h))/h)/(h*h/h**(-15)*h) assuming h is positive. h**(-196/9) Simplify (h*h**(-2/5))/(h/(h*h/(h/h**(-10/3)))) assuming h is positive. h**(-41/15) Simplify ((c/(c*c**(1/11)))/c)**(1/5) assuming c is positive. c**(-12/55) Simplify (k*k**1*k**(-8))/(k*k**(2/23)/k*k**(-1)/k) assuming k is positive. k**(-94/23) Simplify ((b**(-1))**(-41))**(-44) assuming b is positive. b**(-1804) Simplify (d**(-2/5))**(19/5)*d**0*d**(-2) assuming d is positive. d**(-88/25) Simplify ((o*o/o**(-2/25)*o)/(o*((o/(o/(o**2/o)))/o)/o))/(o*o**0*o)**(-2/11) assuming o is positive. o**(947/275) Simplify (v/(v/(v**(-3/8)*v)))/(v/(v*v/(v**(-26)/v))) assuming v is positive. v**(229/8) Simplify (o/(o/o**(-1/6)*o))**(-20)/(o**2)**(11/2) assuming o is positive. o**(37/3) Simplify (z**(15/7))**(2/63) assuming z is positive. z**(10/147) Simplify (y*y**(-2)/y)**(18/5)*(y/(y**(-3)*y*y*y))/y**(-3) assuming y is positive. y**(-16/5) Simplify ((h/(h*h/(h**(-7)/h))*h*h)/h**(-1/4))**(-25) assuming h is positive. h**(675/4) Simplify (o/((o**(1/4)*o)/o))/(o/(o**(-5/4)/o))*(o**(1/3))**(-19/5) assuming o is positive. o**(-113/30) Simplify d*d**(-9)/d*(d*d*d**(24/5)/d)/d assuming d is positive. d**(-21/5) Simplify (d**(-11)/d*d**(3/10)/d)**(-1/3) assuming d is positive. d**(127/30) Simplify (c**3/c*c*c/c**(-2/11))/(c*c/(c/(c**7*c*c))*c**7) assuming c is positive. c**(-141/11) Simplify (p**9*p**(2/9)/p)**(8/9) assuming p is positive. p**(592/81) Simplify l**(-9)*l**(-7/5) assuming l is positive. l**(-52/5) Simplify (z*z/(z*z*z*((z/z**(-5))/z)/z)*z)**(-9) assuming z is positive. z**36 Simplify u**(2/11)/u**(1/2)*(u**(-1))**(2/101) assuming u is positive. u**(-751/2222) Simplify ((b**(1/4))**(14/3))**(-2) assuming b is positive. b**(-7/3) Simplify (m*m*m*m**30*m)/(m**26*m) assuming m is positive. m**7 Simplify a*a*a**7*a**(-6/5)*(a/(a*a**(-7/5)))/(a/(a/(a/a**(-3/4)))) assuming a is positive. a**(149/20) Simplify y/(y*y**(1/4))*(y/((y*y**3*y)/y))/y*y**5*y*y**(-10) assuming y is positive. y**(-33/4) Simplify (k**(-1)/k)/k**32 assuming k is positive. k**(-34) Simplify (s**(-3/8)*s**(-2/7))/((s/((s*s**(-6))/s))/s*s**(1/3)/s) assuming s is positive. s**(-1007/168) Simplify ((m**(-2)/m*m)**(-36))**(-8/9) assuming m is positive. m**(-64) Simplify y*y**(-1)/y*y*y**(1/8)/y*y**(3/5)/y**(2/5) assuming y is positive. y**(-27/40) Simplify p**(-20)/p**27 assuming p is positive. p**(-47) Simplify (c*c**(-3))**(-1/8) assuming c is positive. c**(1/4) Simplify (g**(-1/3)/g)**0*g**0*g/g**7 assuming g is positive. g**(-6) Simplify (l/l**(-6))/(l*l**(-6/5))*(l**(-6)*l)/(l*(l**(-1/3)*l)/l) assuming l is positive. l**(23/15) Simplify ((f/(f/(f/f**(-6)))*f)/f**(-6))/(f**(-1/10)*f**(1/5)) assuming f is positive. f**(139/10) Simplify (d/d**37)**26 assuming d is positive. d**(-936) Simplify (i**(1/3)/i)/(i**(1/4)*i)*i*i*i**(1/3)*i*i*i**(-2/3) assuming i is positive. i**(7/4) Simplify w/w**(1/4)*w*w/(w*w**(-4/11)/w*w*w) assuming w is positive. w**(49/44) Simplify a**(14/11)/(a*a*a**(-7/3)) assuming a is positive. a**(53/33) Simplify (k**4/k**5)/(k**(-1)*k/(k**(1/3)/k)) assuming k is positive. k**(-5/3) Simplify ((o**2*o)/(o**(-5)*o))**(-23) assuming o is positive. o**(-161) Simplify (v*(((v/v**(-2))/v*v)/v)/v)/v**(-4/5)*(v*(v**(-2/5)*v*v)/v)/v**(-1/6) assuming v is positive. v**(137/30) Simplify (d*d*d/d**7)**(-20) assuming d is positive. d**80 Simplify (o**(-3/4)*o*o*(o*o**(2/7)/o*o)/o*o*o)**(16/5) assuming o is positive. o**(396/35) Simplify (m**(-2/9))**(-1/14) assuming m is positive. m**(1/63) Simplify (d**(1/2)/d*d)/d**(-4/19) assuming d is positive. d**(27/38) Simplify (r**(7/5))**(11/4) assuming r is positive. r**(77/20) Simplify (c**(-6/7)*c/c**(-1/11))/(c**(-1)*c)**(-1/54) assuming c is positive. c**(18/77) Simplify ((f*f**(1/9))/f*f)**(3/13) assuming f is positive. f**(10/39) Simplify (b*b*b/(b**(-3)*b)*b*b)/(b*b**2)*(b/b**(3/5))/((b/(b/b**(-2/9)))/b) assuming b is positive. b**(253/45) Simplify (z**19)**(12/5) assuming z is positive. z**(228/5) Simplify (m**(-5/6))**(-15) assuming m is positive. m**(25/2) Simplify p**(1/19)*p**(1/11) assuming p is positive. p**(30/209) Simplify s**(-4)/s**3*s**7/s**(1/3) assuming s is positive. s**(-1/3) Simplify f/f**(-7)*f*f**1/f*(f*f*f**0)**(-50) assuming f is positive. f**(-91) Simplify (o*o**(-1/6)/o)/o**(18/13) assuming o is positive. o**(-121/78) Simplify q**(1/2)/q**(-3)*(q/(q*q*q/q**(-2/7)*q*q))/q*q**(-5)*q assuming q is positive. q**(-81/14) Simplify (s**(-3/4)*s)**(-3) assuming s is positive. s**(-3/4) Simplify (w*((w/(w*w**(3/8)))/w)/w*w*w*w**(-2/13))**43 assuming w is positive. w**(2107/104) Simplify ((c*c/(c**2/c)*c)**(-23))**(-2/63) assuming c is positive. c**(92/63) Simplify (((o/(o/(o**3/o)))/o)**(1/20))**44 assuming o is positive. o**(11/5) Simplify (r**(-4/7)*r)**(4/7) assuming r is positive. r**(12/49) Simplify (b/(b*b**(-1/8))*b)/((b**(-5)*b)/b*b)*(b**1*b)**38 assuming b is positive. b**(649/8) Simplify (g**(4/3)*g**(-2/15))**(2/105) assuming g is positive. g**(4/175) Simplify (o**(1/4)/o)**(-8)*o**(-4/5)*o*o**(-5) assuming o is positive. o**(6/5) Simplify ((l/(l/(((l*l*(l*l**(5/3))/l)/l)/l)))/l*l)/l**(-26) assuming l is positive. l**(83/3) Simplify (q**(1/4))**(-3/23)/(q**0)**(-3/5) assuming q is positive. q**(-3/92) Simplify (k*k/(k*(k**4/k)/k*k)*k)/k**(-2/7) assuming k is positive. k**(-5/7) Simplify (f**(-1/3))**(6/25)/(f**(-2/5))**(-1/41) assuming f is positive. f**(-92/1025) Simplify ((s*s**(-11)/s)/s**(1/7))**(10/9) assuming s is positive. s**(-260/21) Simplify (k*k/(k*k*k/k**(-3/5)))**(-15) assuming k is positive. k**24 Simplify ((d/d**(1/18)*d*d)/(d**(3/5)/d))**(-7/8) assuming d is positive. d**(-2107/720) Simplify (y*y/((y*y/((y/((y**(-3)/y)/y))/y)*y*y)/y))**(-5) assuming y is positive. y**(-20) Simplify (h**(-1/6)/(h*h*h/h**(-2/49)))**(-37) assuming h is positive. h**(34891/294) Simplify l**(-18/11)*(((l**(2/3)*l)/l)/l*l)/l assuming l is positive. l**(-65/33) Simplify n**(-15)*n**21 assuming n is positive. n**6 Simplify (m*m**(-22))/(m/(m*(m/m**(2/13))/m)) assuming m is positive. m**(-275/13) Simplify (m**4*m**(-2/13))/(m**(-7/3)*m*m**4) assuming m is positive. m**(46/39) Simplify ((y**(-2)*y)/y)**(-25)*(y*(((y/((y**0*y)/y))/y)/y)/y)**(-10) assuming y is positive. y**60 Simplify (i**(-1)*i)**21*(i**0)**(-6/23) assuming i is positive. 1 Simplify (a*a/(a**(1/10)/a)*a*a)/(a*a/(a*a**(-11/3))) assuming a is positive. a**(7/30) Simplify ((h*h*h*h/(h**9*h*h*h)*h)/((h*h*h/((((h*h**(-5/2)/h)/h)/h)/h*h))/h))**(-3/13) assuming h is positive. h**(81/26) Simplify c/(c/(c**4*c))*c**(-2/9)*(c*c**(-1)*c)**33 assuming c is positive. c**(340/9) Simplify ((v*v**(3/8)*v)/v*v*v*v*v)/v*v**7*((v/v**9)/v*v)/(v*v/v**(2/7)) assuming v is positive. v**(93/56) Simplify (n**(2/5)/n)**(-6/7)/(n**(2/9))**19 assuming n is positive. n**(-1168/315) Simplify r**(2/19)*r*r*r*r**(-19)*r*r assuming r is positive. r**(-264/19) Simplify (w*w/(w*w*w**(-9)*w)*w*w)/w**(-15) assuming w is positive. w**25 Simplify (t*t/t**1*t*t*t*t)**(-11/4)*t**(-6)/t**(8/3) assuming t is positive. t**(-269/12) Simplify (f**0/((f*f/(f/f**(-1/12)))/f))/((f/((f*f**(-2/17))/f))/f*f/(f**(-3/7)*f)) assuming f is positive. f**(-661/1428) Simplify ((j**(-2/35)/j)/j*j**(2/11))**41 assuming j is positive. j**(-29602/385) Simplify ((v*v**12*v*v)/v)**(-18) assuming v is positive. v**(-252) Simplify (((m/m**(-2))/m)/(m*m**3))**(6/13) assuming m is positive. m**(-12/13) Simplify p/(p**(-4/33)*p)*p**47 assuming p is positive. p**(1555/33) Simplify (x**(2/13)*x/(((x*x**(2/11))/x)/x*x))/(x*x/x**(4/5)*x**(-4)) assuming x is positive. x**(2697/715) Simplify (s**(1/4))**(8/13)/(s/((s/s**(2/5))/s*s)*s)**(-10/13) assuming s is positive. s**(16/13) Simplify (s*s/s**0)**(-38)/(s*s**(-2/7)*s**(-2/3)) assuming s is positive. s**(-1597/21) Simplify ((j**5/j)/((j/((j**1
{ "pile_set_name": "DM Mathematics" }
is prob of sequence dccd? 1/153 Calculate prob of sequence rdd when three letters picked without replacement from drddddddrdrddd. 55/364 What is prob of sequence ss when two letters picked without replacement from ssssssssss? 1 Four letters picked without replacement from {s: 5, r: 1, p: 2, g: 1, d: 1, m: 10}. Give prob of sequence sdpg. 1/11628 Calculate prob of sequence ellv when four letters picked without replacement from elullvv. 1/70 Calculate prob of sequence ak when two letters picked without replacement from kagallgalagap. 5/156 Calculate prob of sequence yp when two letters picked without replacement from vlpjjjvjvlvjjjylyjj. 1/171 What is prob of sequence qgep when four letters picked without replacement from ptqfpeg? 1/420 What is prob of sequence dzde when four letters picked without replacement from {z: 3, e: 1, v: 6, d: 3, c: 4, s: 1}? 1/4080 Three letters picked without replacement from {d: 4, x: 1, a: 6}. What is prob of sequence dax? 4/165 Calculate prob of sequence qk when two letters picked without replacement from xetxkxeeeqq. 1/55 Two letters picked without replacement from kkkshkdh. What is prob of sequence hk? 1/7 Three letters picked without replacement from knvnipn. Give prob of sequence kpp. 0 What is prob of sequence jo when two letters picked without replacement from lollollojjj? 9/110 What is prob of sequence lt when two letters picked without replacement from fzjflztqj? 1/72 Four letters picked without replacement from {v: 6, j: 1, b: 1, z: 8}. What is prob of sequence vzzz? 3/65 Two letters picked without replacement from ftvftzoz. Give prob of sequence zo. 1/28 Three letters picked without replacement from {j: 3, b: 2}. What is prob of sequence jbj? 1/5 Three letters picked without replacement from dddddidid. Give prob of sequence ddd. 5/12 What is prob of sequence xm when two letters picked without replacement from xgtmt? 1/20 Calculate prob of sequence mme when three letters picked without replacement from {m: 2, e: 3}. 1/10 Four letters picked without replacement from hhhhhhhhh. Give prob of sequence hhhh. 1 Two letters picked without replacement from yyyyyyy. Give prob of sequence yy. 1 Four letters picked without replacement from {d: 1, u: 2, t: 2, j: 1, i: 1}. What is prob of sequence tjud? 1/210 Three letters picked without replacement from isoyoioiyiigz. What is prob of sequence syi? 5/858 Two letters picked without replacement from {d: 1, m: 1, v: 2, b: 2}. What is prob of sequence vd? 1/15 Two letters picked without replacement from {m: 5, t: 4, s: 3}. What is prob of sequence tm? 5/33 Calculate prob of sequence nsrb when four letters picked without replacement from srsbrrnrr. 5/1512 Four letters picked without replacement from {j: 1, b: 6, m: 7, u: 2, o: 2, h: 1}. Give prob of sequence ubjh. 1/7752 Three letters picked without replacement from {d: 6, t: 12}. What is prob of sequence ttt? 55/204 Two letters picked without replacement from {m: 1, j: 5, i: 12}. What is prob of sequence mi? 2/51 What is prob of sequence zqy when three letters picked without replacement from nunuaayzuqnznu? 1/1092 Calculate prob of sequence tttz when four letters picked without replacement from {z: 7, t: 9}. 21/260 Three letters picked without replacement from ddlloldhlfdvddfl. Give prob of sequence ldd. 5/112 Calculate prob of sequence zv when two letters picked without replacement from {g: 2, z: 1, v: 1, w: 1}. 1/20 Three letters picked without replacement from {w: 4, l: 7, k: 2, h: 5}. What is prob of sequence kkl? 7/2448 What is prob of sequence fjn when three letters picked without replacement from {f: 6, j: 3, p: 2, n: 2, d: 1, i: 4}? 1/136 Three letters picked without replacement from drjqqqjjrdq. Give prob of sequence qjd. 4/165 Four letters picked without replacement from {h: 9}. Give prob of sequence hhhh. 1 Two letters picked without replacement from npppnnppllnlpd. What is prob of sequence nd? 2/91 Two letters picked without replacement from ooovoovovoooooovvoo. What is prob of sequence vo? 35/171 What is prob of sequence ka when two letters picked without replacement from akkrkkkks? 1/12 What is prob of sequence bff when three letters picked without replacement from {b: 1, q: 11, f: 3}? 1/455 What is prob of sequence vu when two letters picked without replacement from vuvvu? 3/10 Two letters picked without replacement from jjfijfjijjj. Give prob of sequence ij. 7/55 What is prob of sequence kpp when three letters picked without replacement from {p: 3, s: 1, j: 2, i: 2, k: 1, x: 3}? 1/220 Four letters picked without replacement from ltltlt. What is prob of sequence lltl? 1/20 What is prob of sequence ar when two letters picked without replacement from {r: 2, a: 6}? 3/14 Two letters picked without replacement from babblba. Give prob of sequence aa. 1/21 Calculate prob of sequence gzz when three letters picked without replacement from zggzzzzgggzg. 3/22 Four letters picked without replacement from {k: 2, i: 1, c: 9, f: 1, z: 1, a: 1}. Give prob of sequence cfik. 1/1820 Four letters picked without replacement from nnnnssndsddndnnssndr. What is prob of sequence ssds? 5/1938 Three letters picked without replacement from {z: 2, y: 8, w: 1, c: 8, l: 1}. Give prob of sequence wzc. 2/855 What is prob of sequence scb when three letters picked without replacement from rfcffcosfssboobcs? 1/170 Four letters picked without replacement from lllzlllllzll. What is prob of sequence llzl? 4/33 Two letters picked without replacement from {v: 2, w: 1, e: 1, x: 1, m: 1, b: 1}. Give prob of sequence wx. 1/42 What is prob of sequence xx when two letters picked without replacement from bbbxxxxxxxxoxxxx? 11/20 Three letters picked without replacement from {o: 11, y: 3}. What is prob of sequence yoy? 11/364 What is prob of sequence xama when four letters picked without replacement from {j: 4, a: 2, m: 1, x: 4, v: 6}? 1/7140 Four letters picked without replacement from {a: 9, l: 6, x: 1, o: 2}. Give prob of sequence aalx. 1/170 What is prob of sequence nj when two letters picked without replacement from {e: 1, o: 2, j: 7, n: 7, c: 2}? 49/342 Two letters picked without replacement from xgfzggzfgmfzggxzmz. What is prob of sequence zx? 5/153 What is prob of sequence cc when two letters picked without replacement from {c: 5, p: 6, q: 2}? 5/39 What is prob of sequence jssj when four letters picked without replacement from eejeeesejseoeejeeee? 1/7752 Two letters picked without replacement from tqqqqtqqqqqttttqqqq. What is prob of sequence tt? 5/57 Two letters picked without replacement from {t: 1, l: 1, a: 1, h: 2, w: 1, f: 1}. Give prob of sequence fh. 1/21 Calculate prob of sequence idi when three letters picked without replacement from {d: 14, i: 4}. 7/204 Four letters picked without replacement from {a: 3, d: 7}. Give prob of sequence dada. 1/20 Calculate prob of sequence id when two letters picked without replacement from dshhvggid. 1/36 What is prob of sequence ywyp when four letters picked without replacement from {y: 3, p: 1, u: 2, j: 1, w: 4}? 1/330 What is prob of sequence dddr when four letters picked without replacement from {r: 10, d: 4}? 10/1001 Calculate prob of sequence um when two letters picked without replacement from uiiiuiuumi. 2/45 What is prob of sequence iifq when four letters picked without replacement from fiqfiiifff? 1/84 What is prob of sequence wl when two letters picked without replacement from {c: 1, d: 1, w: 2, u: 2, l: 1}? 1/21 What is prob of sequence pp when two letters picked without replacement from {b: 1, p: 11}? 5/6 Three letters picked without replacement from ossionnosnooooonooi. Give prob of sequence sos. 10/969 What is prob of sequence jojm when four letters picked without replacement from {m: 2, s: 3, o: 5, a: 2, j: 3}? 1/546 Three letters picked without replacement from tshgy. Give prob of sequence hgs. 1/60 Calculate prob of sequence mamm when four letters picked without replacement from amaaaamaaama. 1/220 What is prob of sequence tkkg when four letters picked without replacement from {v: 5, k: 2, t: 2, g: 4}? 2/2145 What is prob of sequence drd when three letters picked without replacement from rrdrrgdw? 1/42 Calculate prob of sequence uq when two letters picked without replacement from {q:
{ "pile_set_name": "DM Mathematics" }
b + 4. Let t be (10/(-5))/((-2)/4). Let m(c) = t*a(c) - 5*w(c). Calculate m(q(h)). 27*h**2 Let l(v) = -426*v**2. Let o(s) = 2*s**2. What is l(o(f))? -1704*f**4 Let b(k) = -3*k. Suppose -26 = -2*j + 4*s, 3*s = -j - 0 - 2. Let o(r) = -3*r**2 - 4*r. Let p(m) = 5*m**2 + 7*m. Let h(z) = j*o(z) + 4*p(z). Give b(h(i)). 3*i**2 Let g(l) = 3*l**2. Let u(q) = -466*q**2. What is u(g(j))? -4194*j**4 Let n(t) = -23*t**2. Let y(f) = 10*f. What is n(y(q))? -2300*q**2 Let m(d) = 18*d. Let y(r) = 56*r. What is y(m(w))? 1008*w Let t(g) = -210*g. Let h(x) = 19*x. Let z(o) = 56*h(o) + 5*t(o). Let r(f) = -2*f**2. Calculate r(z(q)). -392*q**2 Let l(t) = t. Let v(p) = -5*p. Let y(i) = -11*l(i) - 2*v(i). Let d(k) = -k. Let m(s) = 2*s. Let x(z) = 14*d(z) + 6*m(z). What is y(x(w))? 2*w Suppose 0 = -4*n + 7*n - 15. Let b(s) = n*s - 3*s + 0*s. Let t(j) = j. Give b(t(d)). 2*d Let c(j) = j. Let u(y) = 158*y. Calculate c(u(n)). 158*n Let b(h) = -4*h**2. Let l(x) = 2*x**2. Let m(g) = 2*b(g) + 5*l(g). Let d(o) = -20*o**2. What is d(m(n))? -80*n**4 Let i(y) = -2*y - y + y + y. Let x(g) be the third derivative of 1/20*g**5 - 2*g**2 + 0*g**4 + 0 + 0*g**3 + 0*g. What is i(x(f))? -3*f**2 Let j(i) = -i**2. Let c(z) be the second derivative of -z**4/4 + 4*z. Calculate j(c(u)). -9*u**4 Let h(m) be the second derivative of 0*m**2 + 0 - 3*m + 5/6*m**3. Let x(b) = -b**2. What is h(x(z))? -5*z**2 Let y(u) be the second derivative of -u**3/3 - u. Let p(i) be the second derivative of 0*i**3 + 0*i**2 + 0 + i - 1/12*i**4. Calculate p(y(v)). -4*v**2 Let o(f) = -7*f. Let u(m) = -3 + 4 - 4 - 5*m**2 + 0*m**2 - 3*m. Let g(x) = 6*x**2 + 4*x + 4. Let b(v) = -3*g(v) - 4*u(v). What is o(b(d))? -14*d**2 Let f(z) = 7*z. Let t(v) = v**2. Give f(t(b)). 7*b**2 Let y(s) = -3 - 337*s + 3 + 341*s. Let p(z) = 7*z + 9. Let v(t) = t + 1. Let i(j) = 2*p(j) - 18*v(j). Give y(i(o)). -16*o Let g(j) = 14*j. Let i(b) = -10*b + 1. Calculate i(g(o)). -140*o + 1 Let n(f) = -5*f - 3. Let x(i) = -1. Let r(v) = n(v) - 3*x(v). Let d(b) be the second derivative of -b**3/3 - 2*b. Determine r(d(m)). 10*m Suppose x - 4*x = -6. Let d(m) = 0*m**x - m**2 + 4*m**2. Let a(k) = -k**2 - 10 + 10. Determine a(d(j)). -9*j**4 Let p(k) = 10*k**2. Let g(w) = -12*w + 8*w + 6*w. What is g(p(n))? 20*n**2 Let h(f) = f. Suppose 5*g - 7 = 3. Let y = 5 - 3. Let t(d) = d**g - y + 2. Calculate t(h(k)). k**2 Let d(v) be the third derivative of -v**4/8 + 11*v**2. Let z(y) = 5*y**2. Determine d(z(a)). -15*a**2 Let m(g) = 6*g. Let k(u) = 3*u**2 - 16*u. What is m(k(t))? 18*t**2 - 96*t Let w(i) = -i**2. Let n(k) = -7*k**2 + 6*k. Let r(u) = u**2 - u. Let d(m) = n(m) + 6*r(m). Calculate d(w(y)). -y**4 Let n(h) = 289*h. Let s(o) = -2*o**2. Determine s(n(u)). -167042*u**2 Let g(w) = w. Suppose -2*q = -q - 2. Let a(m) be the second derivative of 0*m**q - 1/6*m**4 + 0*m**3 + 0 - m. Give g(a(r)). -2*r**2 Let j(c) = -9*c - 2*c + c + 3*c. Let i(k) = 5*k**2. What is j(i(r))? -35*r**2 Let i(o) = -48*o + 1. Let l(j) be the second derivative of j**3/3 + 10*j. Give l(i(d)). -96*d + 2 Let u(x) = -3*x. Let v be 14/(-6)*3/(-1). Let h = 11 - v. Let d(p) = -4 - p**2 + h. Give d(u(n)). -9*n**2 Let w(d) = d**2. Let q(l) be the third derivative of 0*l + 0 + 0*l**3 - l**2 - 1/12*l**4. Calculate w(q(n)). 4*n**2 Let h(r) = -59*r**2 - r. Let y(o) be the third derivative of -o**4/12 - 47*o**2. Determine y(h(f)). 118*f**2 + 2*f Let f(r) = -2*r**2. Let a(q) be the second derivative of -q**5/120 + q**3/2 - 2*q. Let k(l) be the second derivative of a(l). Give f(k(b)). -2*b**2 Suppose -5*u + 119 = -4*l, 0 = 4*u - 2*u + 5*l - 74. Let p(t) = u*t**2 - 13*t**2 - 11*t**2. Let g(q) = -5*q. Give g(p(n)). -15*n**2 Let l(j) = j. Let f(u) = 68 + 19*u**2 - 35 - 33. Give l(f(q)). 19*q**2 Let c(b) = 6*b**2. Let j(w) = -15*w. Let o(i) = 14*i. Let m(y) = 4*j(y) + 5*o(y). Determine m(c(p)). 60*p**2 Let z(f) be the first derivative of -f**5/30 - 3*f**2/2 + 3. Let q(s) be the second derivative of z(s). Let j(g) = -3*g. Determine q(j(w)). -18*w**2 Let m(s) = -3*s**2 - 4*s - 4. Let v(w) = -2*w**2 - 3*w - 3. Let d(j) = -3*m(j) + 4*v(j). Let i(x) = 30*x**2. What is i(d(f))? 30*f**4 Let w(j) be the third derivative of -19*j**4/8 + 35*j**2. Let t(v) = -2*v. Give t(w(q)). 114*q Let g be (-150)/(-22) - (-8)/44. Let k(d) = -g - 2*d - 5 + 12. Let y(j) = 9*j. What is k(y(p))? -18*p Let o(t) = -2066*t. Let x(q) = 2*q. Calculate x(o(v)). -4132*v Let g(p) = p**2. Let l(i) = 3*i + 4. Determine g(l(d)). 9*d**2 + 24*d + 16 Let r(m) = 3*m**2. Let l(b) = b**2 - b + 1. Let a(q) = 2*q**2 - 4*q + 4. Let p be -3*6/(-45)*10. Let v(y) = p*l(y) - a(y). Calculate v(r(g)). 18*g**4 Let h(w) = -721*w**2. Let p(b) = 3*b**2. What is p(h(m))? 1559523*m**4 Let a(g) = -2*g. Let d(s) = 4*s. Let j(r) be the first derivative of -r**2/2 + 5. Let y(n) = -3*d(n) - 16*j(n). Determine y(a(k)). -8*k Let j(m) = -m**2. Let g(b) = -b**3 + 7*b**2 - 5*b - 6. Let d(w) = -w**3 + 4*w**2 - w. Let c be d(3). Let a be g(c). Let z(h) = a + 6 - 6 + 4*h**2. Give j(z(y)). -16*y**4 Let p(v) be the second derivative of v**3/3 - v. Let z(g) be the second derivative of -g**4/4 + 161*g. What is p(z(q))? -6*q**2 Let r(m) = -5*m. Let i(f) = 47*f**2 + 2. Give i(r(y)). 1175*y**2 + 2 Let r(c) = -5*c. Let o(q) = 3*q + 20. Determine o(r(j)). -15*j + 20 Let g(m) = m**2. Suppose 5*d + 3*q - 24 = 0, 18 = d + 3*q + 6. Let h(l) = -l**2 + l**2 - l**2 + d*l**2. Calculate h(g(p)). 2*p**4 Let g(n) = -2*n**2 - 108*n + 108*n. Let z(o) = 4*o. Determine z(g(j)). -8*j**2 Let d(y) = 29*y. Let n(f) = -7*f**2. Give n(d(u)). -5887*u**2 Let a(r) = 46*r. Let w(x) be the second derivative of x**4/12 - 16*x. What is w(a(v))? 2116*v**2 Let m(l) be the first derivative of -4 + 0*l + 0*l**2 - 2/3*l**3. Let w(o) be the third derivative of o**5/30 - 5*o**2. What is w(m(q))? 8*q**4 Let f(w) be the second derivative of 0*w**2 + 0 - 1/6*w**3 + w. Let i(l) = -3*l + 0*l - l + 3*l. Determine f(i(d)). d Let p(g) = 60*g**2 - 2. Let b(h) = 2*h. Determine b(p(f)). 120*f**2 - 4 Let b(y) = 8*y + 10. Let i(h) = h + 1. Let z(t) = 2*b(t) - 20*i(t). Let q(w) = -2*w - 5. Let a(j) = 2*j + 6. Let p(c) = -5*a(c) - 6*q(c). Determine z(p(g)). -8*g Let o(w) be the third derivative of 0*w**3 + 0*w + w**2 + 0 - 1/30*w**5 + 0*w**4. Let d(i) = 2394*i + 3*i**2 - 2394*i. What is o(d(u))? -18*u**4 Let w(x) be the third derivative of x**4/8 - 2*x**2. Let k(l) = 10*l**2. Calculate w(k(m)). 30*m**2 Let d(r) = -4*r**2. Let p(l) be the second derivative of l**5/40 + l**3/3 - 7*l. Let y(x) be the second derivative of p(x). Determine y(d(w)). -12*w**2 Let t(b) = b**2. Let a(n) = 182*n. Determine a(t(g)). 182*g**2 Let t(i) = 16*i. Let h(p) = 8*p**2. Give t(h(d)). 128*d**2 Let k(o) = 3*o**2. Let w(f) = 6*f. Let p(v) = 1 - v - 1 + 3*v. Let j(g) = -16*p(g) + 5*w(g). Calculate j(k(z)). -6*z**2 Let u(y) = -13*y. Let s(g) = -188*g**2 - g. Determine u(s(w)). 2444*w**2 + 13*w Suppose 0 = -m - 4*r, -2*m + 4*r = -0*r + 60. Let v be ((-6)/4)/(15/m). Let g(z) = 2 + z - v. Let l(d) = d**2. Give g(l(i)). i**2 Let b(c) = 3 + 2*c - 4 + 1. Let d(q) = -18*q. Determine d(b(i)). -36*i Let h(d) = 2*d. Let p(x) = 71*x. Determine p(h(m)). 142*m Let h(b) = -2*b + 6. Let g(k) = -k**2 + k - 3. Let w(d) = -4*g(d) - 2*h(d). Let n be 0/(0 - (-1 + 3)). Let r(t) = -2*t**2 + t**2 + n*t**2. What is w(r(c))? 4*c**4 Let l(k) be the third derivative of -1/12*k**4 + 0*k**3 + 0*k + 0 + 7*k**2. Let g(y) = 3*y. What is g(l(v))? -6*v Let m(u) be the first derivative of 3 - 3/2*u**2 + 0*u. Let f(c) = -2*c**2. What is f(m(l))? -18*l**2 Let o(c) be the first derivative of c**3/3 + 1. Let g(z) be the second derivative of -1/12*z**4 + 0*z**2 + 0 + 0*z**3 + 3*z. What is o(g(u))? u**4 Let n(z) = -3*z. Let p(w) = -105 + 105 - 16*w. Give n(p(v)). 48*v Let z(i) be the second derivative of -i**3/2 + 9*i. Let s(h) = 3*h**2. Give z(s(j)). -9*j**2 Let f(b) = 26*b**2. Let h(y) = y. Give h(f(t)). 26*t**2 Let g(h) = 3*h + 15. Let y(t) = -6*t**2. Calculate g(y(q)). -18*q**2 + 15 Let g(v) = 7*v**2. Let b(n) be the first derivative of -2 + 8 + n**2 - 4. Calculate g(b(h)). 28*h**2 Let u(x) = -26*x + 16. Let q be (-6)/9 + 44/12. Let p(s) = 5*s - 3. Let f(y) = q*u(y) + 16*p(y). Let d(v) = -5*v**2. Calculate d(f(l)). -20*l**2 Let f(c) = c**2. Suppose 0 = 4*h - 2*h - 6. Let x(b) be the third deriva
{ "pile_set_name": "DM Mathematics" }
ultiply 38283 and -177. -6776091 -0.1368495*0.283 -0.0387284085 -0.59 * -947.9181 559.271679 -26 times 1269861 -33016386 Product of -27311401 and 10. -273114010 Product of 26532 and -41. -1087812 -1142067*0.11 -125627.37 Work out 3.5821429 * -2. -7.1642858 Product of 368.82 and 199. 73395.18 -16593 times -12504 207478872 -2.077*145572 -302353.044 Work out -0.01993385 * 23. -0.45847855 -33 * 90880 -2999040 0.294 * 0.1051578 0.0309163932 Multiply 440.0992 and -4. -1760.3968 What is the product of -34382 and 158? -5432356 -0.297*-63797.7 18947.9169 1.906317 * -2 -3.812634 2983528*0.08 238682.24 What is 0.261 times -321838? -83999.718 Multiply 25193.516 and -4. -100774.064 51812465*-4 -207249860 Multiply -689 and -1.1323. 780.1547 What is the product of 0.4 and -13504.7? -5401.88 -6140 times -0.0551 338.314 Work out -5 * -2.967073. 14.835365 What is the product of -0.04318 and -1.555? 0.0671449 32550.34 times -0.3 -9765.102 Calculate -76.2941*-876. 66833.6316 What is the product of -33 and 0.126315? -4.168395 Product of -369 and -0.05113. 18.86697 Work out -297 * 173.187. -51436.539 -12881.5*195 -2511892.5 Product of -2.8 and -445411. 1247150.8 What is 28380.42 times 1.1? 31218.462 4057 * -10.296 -41770.872 What is -1 times -21366137? 21366137 Calculate 8544*0.09. 768.96 0.52 times 0.041744 0.02170688 -1*119887.13 -119887.13 7.2902 times 187 1363.2674 What is 0.033 times 47768.7? 1576.3671 Multiply -255563 and 6.1. -1558934.3 Work out 50142 * 14.8. 742101.6 0.016 times 2687 42.992 711 times 109410.5 77790865.5 Work out 0.040944 * 1138. 46.594272 Work out 0.2 * -45418.9. -9083.78 -1102878*2 -2205756 Work out 0.4 * 2.6580356. 1.06321424 What is the product of 0.2 and -75421.842? -15084.3684 What is the product of -1.25 and 91730? -114662.5 Calculate 53*2228675. 118119775 Calculate -386923345*3. -1160770035 Work out -0.08 * -2148111. 171848.88 0.212*-101371 -21490.652 -150 times 0.079284 -11.8926 Work out -275191 * 13. -3577483 Work out 0.0741471 * -0.06. -0.004448826 Product of -336366 and -13.8. 4641850.8 What is the product of -103 and -126064? 12984592 13582443*-0.2 -2716488.6 Multiply -370664.78 and 7. -2594653.46 Multiply -951.474 and -761. 724071.714 0.1*-18290543 -1829054.3 What is 31.2 times 62.63? 1954.056 Product of 144259953 and -0.4. -57703981.2 -736 * -47567.9 35009974.4 What is the product of -0.2 and 6.87667? -1.375334 What is -761.2 times -0.5? 380.6 Work out -23235.8 * 105. -2439759 -9*-167.15 1504.35 Work out -0.1 * -379.02448. 37.902448 -92351360 * -13 1200567680 -52.7893 * -0.7 36.95251 Calculate -1317.098*0.08. -105.36784 What is the product of -73838.25 and 2? -147676.5 Product of -1334.21 and 1. -1334.21 -107700*21.54 -2319858 Multiply 4.180163 and 8. 33.441304 -239.216 * 1.08 -258.35328 -0.657 * -465039 305530.623 Product of 1147627432 and 0.2. 229525486.4 What is -5370 times -108602? 583192740 What is -1624 times 5593? -9083032 Multiply -0.044522104 and 0.4. -0.0178088416 What is 3263.58 times -18.6? -60702.588 -103*1328.82 -136868.46 What is -0.06 times 0.21483? -0.0128898 Multiply 0.1 and 0.11249618. 0.011249618 1.09765 times 0.059 0.06476135 Calculate -2998098*-11. 32979078 Work out 0.1 * 0.231267. 0.0231267 Product of 3100 and -0.06248. -193.688 122292.51 times -0.01 -1222.9251 Calculate -104*-58.08. 6040.32 What is the product of 1 and 7784368.6? 7784368.6 20165039*0.1 2016503.9 302*5.5596 1678.9992 Multiply -440 and -0.575418. 253.18392 Calculate -0.2*4513.0637. -902.61274 -614839054 times -0.2 122967810.8 59 times 171657 10127763 -8.506 times -18352 156102.112 Product of -6948 and -379.5. 2636766 What is the product of -133 and 0.161899? -21.532567 Product of -22 and 5762996. -126785912 Work out 0.03 * 10565132. 316953.96 -53 * 1683800 -89241400 What is the product of 105113952 and 0? 0 Product of 3.798 and -66989. -254424.222 Work out 7704.1 * 4600. 35438860 -0.11808 times 1695 -200.1456 277781 times -85 -23611385 Product of -0.072 and -2945.82. 212.09904 Product of -137800429 and 1. -137800429 Work out 520874 * 636. 331275864 -29236402*-5 146182010 392*-4377 -1715784 What is 55 times 0.0226839? 1.2476145 What is 0.77 times -15.70749? -12.0947673 Work out 2 * 12429540.2. 24859080.4 Calculate 0.061343*28190. 1729.25917 Multiply 3.746574 and 60. 224.79444 88800*79 7015200 What is -1681 times 0.096? -161.376 Work out 33676.61 * -5. -168383.05 Product of 458.7 and -5335. -2447164.5 Work out 0.5 * 3.1975317. 1.59876585 316 times -0.213387 -67.430292 Work out 5658.3 * -241. -1363650.3 0.078 * 27259.49 2126.24022 -0.1 times 0.13911907 -0.013911907 What is 47643761 times 9? 428793849 Work out -0.02 * -7322329. 146446.58 Work out -2576580 * -84. 216432720 What is 1088.607 times -0.4? -435.4428 What is the product of 0.2 and 1177864? 235572.8 Work out 10.66 * 9799. 104457.34 Multiply 0.0127 and 3.493. 0.0443611 4*-140791492 -563165968 Product of 176307 and 316. 55713012 -0.12251*6.51 -0.7975401 Multiply -106766 and -19. 2028554 -1094.91 times -142 155477.22 281324*-54 -15191496 What is 0.1551233 times -0.5? -0.07756165 Work out -705.57 * 6945. -4900183.65 Multiply 387809 and 11. 4265899 What is 6471 times 277.7? 1796996.7 6 * -20281831 -121690986 -18.66833 times -0.04 0.7467332 811*209 169499 -15527 * 0.013922 -216.166894 Multiply -3 and -11269386. 33808158 What is 220950 times -77? -17013150 -193.22 times 26724 -5163611.28 0.2 * 286.611541 57.3223082 Multiply -246665.59 and 10. -2466655.9 Product of 0.4 and 62393.188. 24957.2752 Product of -0.2 and 2.4019618. -0.48039236 What is the product of 0.3 and 492864.6? 147859.38 Product of -0.8607 and 1.7. -1.46319 What is the product of 0 and -2130069? 0 What is the product of -0.251 and 0.04834241? -0.01213394491 Product of 1195032 and -158. -188815056 Work out -16343 * -181. 2958083 -9*-43305084 389745756 Multiply -5.554 and 0.1317. -0.7314618 Product of 0.5745 and -19.409. -11.1504705 Multiply -0.4 and -117.76423. 47.105692 Work out 30.330942 * -0.4. -12.1323768 What is the product of 11 and -3254529.8? -35799827.8 Product of 0.5 and 0.2459067. 0.12295335 What is the product of -0.002963627 and 0.2? -0.0005927254 3*-1015153 -3045459 -1.3746*239 -328.5294 Product of -105097.42 and 91. -9563865.22 Multiply -0.3 and -449416. 134824.8 Calculate 0*-2327.612. 0 Calculate 8949*-0.13959. -1249.19091 1.2 times -46929.8 -56315.76 Work out 1000571 * 5. 5002855 Work out 4189.9 * -0.00589. -24.678511 Multiply 10577 and -3850. -40721450 What is the product of 0.028505519 and 0.1? 0.0028505519 Product of -38128 and 0.127. -4842.256 218 times 3972 865896 1.063*-82626 -87831.438 Multiply -0.226935 and 50. -11.34675 Product of -1003329 and 0.04. -40133.16 Work out 0.1 * 40875156. 4087515.6 Product of 33 and 18440. 608520 474159*-27.8 -13181620.2 Calculate -0.3*-0.192545824. 0.0577637472 -0.31 times -6008.96 1862.7776 Product of -0.06 and -0.66467. 0.0398802 Calculate -71910*-5. 359550 Product of -65255.8311 and -0.2. 13051.16622 Multiply 1 and -20030707. -20030707 Product of 4099367 and 0. 0 267334.98*-2 -534669.96 What is the product of 194255 and -0.088? -17094.44 Calculate -0.3*38.0515225. -11.41545675 Work out 8564.9 * -5. -42824.5 What is -6 times 1068000? -6408000 Calculate 86*13848. 1190928 36 times 288387 10381932 -0.0226952 times 1779 -40.3747608 235250 * 35 8233750 Multiply 0.03863364 and 33. 1.27491012 Calculate 128181947*0.3. 38454584.1 Product of 452.87 and 0.07076. 32.0450812 -0.0528971 times -714 37.7685294 0.4 times -0.4854739 -0.19418956 Product of 28 and 0.378. 10.584 Product of 583 and 0.7486. 436.4338 5*-899297 -4496485 Work out 4 * 6157259. 24629036 Work out -75018 * 102. -7651836 -0.019*27629.2 -524.9548 Calculate -166180*1.43. -237637.4 Product of 155 and -1148321. -177989755 Product of 0.0440632 and -169. -7.4466808 Product of 2398.65 and -0.632. -1515.9468 Work out -31291 * -22711. 710649901 What is -1484.71 times -6? 8908.26 What is -26.44017 times -0.19? 5.0236323 Multiply 6 and -68.7513. -412.5078 894620100*-2 -1789240200 Calculate 233398*0.21. 49013.58 What is the product of 18023 and -5550? -100027650 Work out -0.4 * 181573324. -72629329.6 Work out -82238 * -25. 2055950 Calculate -21.4*-0.395963. 8.4736082 What is 148.59 times -0.1797? -26.701623 Calculate -715*-
{ "pile_set_name": "DM Mathematics" }
-4). Let g = -544 + 549. Suppose g*t - 25 = 0, m - 3*t + 44 = d*m. What is the tens digit of m? 2 Suppose 3*h + 2 = 5*h, 5*h = w + 3. Let v = w - -32. What is the tens digit of v? 3 Let i(y) be the third derivative of 5*y**4/24 + 23*y**3/6 - 17*y**2. What is the units digit of i(6)? 3 Suppose -18 = 12*m - 18*m. Suppose -5*d + 14 = -1, 5*d + 135 = m*w. What is the tens digit of w? 5 Suppose r - 693 = -2*z, 2*r + 3*z - 1362 = 28. What is the hundreds digit of r? 7 Let v(w) = 2*w**3 + 25*w**2 - 18*w - 20. What is the hundreds digit of v(-12)? 3 Suppose 4*u + 4*m = 8*m + 12, 5*u - 5 = -5*m. Let c(j) = 45*j + j**u - 45*j - 1. What is the units digit of c(-2)? 3 Let w be ((-4)/(-6))/((-4)/(-3378)). Let u = -384 + w. Suppose 5*r + 14 = u. What is the units digit of r? 3 Suppose 305*n = 302*n + 54. What is the units digit of n? 8 Let v(c) = c**3 + 8*c**2 - 129*c - 15. What is the thousands digit of v(12)? 1 Let y(k) be the first derivative of -k**3/3 - 7*k**2/2 - 3. Let f be y(-7). Suppose 3*o - 8*o + 125 = f. What is the tens digit of o? 2 Let a = -26 - -24. What is the tens digit of ((-2)/a)/((-4)/(-164))? 4 Suppose 15720 = 22*g - 2*g. What is the tens digit of g? 8 Suppose -39596 = -45*a + 8959. What is the thousands digit of a? 1 Let k(p) = -2*p**3 - 6*p**2 + 7*p - 19. What is the units digit of k(-7)? 4 Let m be 1*193*(-11)/11. Let k = -84 - m. Suppose -10 = 3*s - k. What is the units digit of s? 3 Let y = -23 - -26. Let k(a) = -a**2 + 5*a - 1. What is the units digit of k(y)? 5 Let y(c) be the first derivative of c**4/4 - c**3 + 8*c**2 - 5*c - 50. What is the tens digit of y(7)? 0 Let s(y) = -y**2 + 6*y + 10. Let m be s(7). Suppose 0 = 4*q - m*q - 35. Suppose 2*r = q - 5. What is the units digit of r? 5 Suppose r = -2*r + 66. Suppose -15*d + r = -13*d. Suppose -x - 5 + d = 0. What is the units digit of x? 6 Suppose -10 = 4*d - 50. Suppose -3*t = -t - d. Suppose -3*c = 5*k + t - 16, -c = 4*k - 6. What is the units digit of k? 1 Suppose -j = -4*a + 46, 0 = -4*a - j + 40 + 2. Let k(p) = 2*p - 1. Let u be k(a). What is the units digit of u/2*10/3? 5 Let q(z) = 18*z + 464. What is the units digit of q(0)? 4 Let z = -3518 + 8222. What is the hundreds digit of z? 7 Let k = 26 - 43. Let d = -8 - k. Suppose -3*y - 69 = -3*j, -4*j - d = 5*y - 128. What is the units digit of j? 6 Suppose b = 3*b - 16. Let y = b + -10. What is the tens digit of y/(-7) - 384/(-28)? 1 Let n = 72 + -129. Let z = 184 + n. What is the tens digit of z? 2 Let c(l) = -32*l - 82. What is the hundreds digit of c(-8)? 1 Let t(r) = r**2 - 4*r + 9. Let j be t(3). Suppose -j = -5*y + 3*y. What is the units digit of y? 3 Let s(j) = 8*j**2 + 2*j. What is the tens digit of s(13)? 7 Suppose -2*b = -5*n - 655 - 217, 4*b = 2*n + 1776. What is the hundreds digit of b? 4 Suppose -4*d - 5*k = -30, d = -3*k + 5*k + 1. Suppose 83 = -d*x + 708. What is the hundreds digit of x? 1 Let j(q) = -q**2 + 8*q + 6*q + 7 + 8*q + 8. What is the units digit of j(21)? 6 Let v = 90 - 191. Let t = -53 - v. What is the tens digit of t? 4 Suppose m = 5*x - 5, -x + 18 = 4*m - 2*x. Let n(w) = -2*w**3 + w**2 - 3*w - 3. Let y be n(-2). Suppose y - m = f. What is the units digit of f? 8 Let f(i) = i**2 - 9*i + 14. Let m be f(7). Suppose v - g = 67, -335 = -m*v - 5*v - 4*g. What is the units digit of v? 7 Let r(d) = -73*d - 2. What is the hundreds digit of r(-8)? 5 Let p = -4 - -7. Suppose -3*i + 5*d = -160, -3*i + 53 + 97 = -p*d. Suppose i + 3 = 2*x. What is the units digit of x? 4 Suppose 0*m - 3*d = -4*m - 3, -4*d + 8 = -4*m. Suppose 1 - 13 = m*c. Let b(u) = 4*u**2 + 4*u + 6. What is the units digit of b(c)? 4 Let d(h) = -h**2 - 4*h + 52. Let t be d(7). Suppose 3*k + 33 = -3*w, -2*k + 68 = -4*w - 0*w. Let f = w - t. What is the units digit of f? 0 Suppose -4*b = 2*b + 240. Let g be (210/b)/(6/(-32)). What is the tens digit of 746/14 - 8/g? 5 Let z = -624 - -884. What is the tens digit of z? 6 Let x = 5046 + -3360. What is the units digit of x? 6 Suppose -3*u = 4*u - 4704. What is the units digit of u? 2 Let o = 788 - 71. What is the tens digit of o/11 - (-20)/(-110)? 6 Let c(x) = -x**3 - 4*x**2 - 4*x - 3. Let v be c(-3). Suppose v = i - 3. Let q(g) = g**2 + g. What is the tens digit of q(i)? 1 Suppose 0 = -5*x + 5*g - 15 + 5, -2*x = -5*g + 16. Suppose -5 - 7 = 3*l, 0 = 4*y - x*l + 8. What is the units digit of 3*1*y/(-3)? 4 Suppose -13678 = -10*z + 3*z. What is the thousands digit of z? 1 Suppose -18*k + 732 = -12*k. Let d = -46 + k. What is the units digit of d? 6 Suppose 4*l - 3*h = 2263 - 681, -4*h - 1977 = -5*l. Let d = 663 - l. What is the tens digit of d? 6 Let g(o) = -25*o**3 + o**2. Suppose -2*v = 5*z + 22, 0 = v + 4*v + 3*z + 17. Let s be (2/4)/(v/2). What is the tens digit of g(s)? 2 What is the thousands digit of 3031 + 1 - -6*(-8 - -9)? 3 Let n = 22 + -43. Suppose -q - 18 = -0. What is the units digit of (q/7)/(3/n)? 8 Let h(a) = -22*a + 26. Let y be h(3). What is the tens digit of 0 + (228/15)/((-2)/y)? 0 Suppose 2*u = 4*v, 0 = -u + 5*u - 5*v. Let o = u + -4. Let k = o + 18. What is the tens digit of k? 1 Suppose 22 + 27 = b. What is the units digit of b + -1 + (2 - 5)? 5 Suppose 3*x = k + 5, k - 5*x - 8 = -3*k. Let i(h) = 4*h**2 + h - 3*h**2 - 2*h + 6. What is the units digit of i(k)? 8 Let c = -6 - -5. Let v be (4/(-10))/(c/10). What is the tens digit of 1/v - (-119)/4? 3 Suppose -j - 5*c + 363 + 219 = 0, 0 = 3*j - 4*c - 1651. What is the tens digit of j? 5 Suppose r = -3*c + 781, 5601 = 5*r + 5*c + 1706. What is the hundreds digit of r? 7 Suppose -k - b = 2*b - 18, -4 = -3*k + b. Suppose m + m - k*q = -11, -2*q + 2 = 0. What is the units digit of (-12)/(m*1) + 3? 6 Let n = -20 + 27. Suppose 400 = -2*x + n*x. What is the units digit of x? 0 Let o = -40 - -13. Let f = o - -48. Suppose 4 = -4*t, -4*v - 3*t = -v - f. What is the units digit of v? 8 Let f = 10 - 7. Let q = 10 - 10. Suppose -111 = -q*v - f*v. What is the units digit of v? 7 Suppose -38*j - 76000 = -88*j. What is the hundreds digit of j? 5 Let q = 8 - 7. Let d(j) be the third derivative of 17*j**5/30 - j**4/24 + j**3/6 + 2*j**2. What is the tens digit of d(q)? 3 Suppose -7 - 3 = -2*z, -3*t + 3 = 3*z. Let r = 16 - t. What is the tens digit of r? 2 Let h be (-4)/(-6)*(-9)/(-2). Let p(o) = -14*o**3 + 10*o - h + 9*o**3 + 8*o**2 - 5 + 4*o**3. What is the units digit of p(9)? 1 Let l be (-10)/12 + 8/(-48). Let v = l + 20. What is the units digit of v? 9 Suppose 2*q + 0*y - 3*y - 796 = 0, 1578 = 4*q + y. What is the tens digit of q? 9 Suppose 3*i = 3*x - 3 + 6, 0 = -4*i - 3*x + 25. Suppose i*j + 5*y - 392 = 0, -3*j - y - 368 = -7*j. What is the units digit of j? 3 Suppose -4*s - 2289 + 8077 = 0. What is the thousands digit of s? 1 Suppose -4*b - 140 = -6484. What is the hundreds digit of b? 5 Let r be (-2)/(-3) - 28/(-3). Let f be r/30 + (-1)/3. Suppose 4*m + f*n = -2*n + 2, 2*m - 5 = 3*n. What is the units digit of m? 1 Let s be (4 + -9)*6/(-15) + -75. Let o = 91 + s. What is the units digit of o? 8 Let q(c) = c**2 + c - 2. Let s be (6/(-4))/((-18)/(-24)). Let l be q(s). Suppose n + 3*n - 84 = l. What is the units digit of n? 1 Let t = 11046 - 6525. What is the hundreds digit of t? 5 Let q(l) = -l**2 - 7*l + 3. Let b = -5 + -2. Let w be q(b). Suppose -w = -3*d + 9. What is the units digit of d? 4 Let b(y) be the second derivative of y**5/20 + 7*y**4/12 + y**3/2 - 2*y**2 + 4*y. What is the tens digit of b(-6)? 1 Let j = 67 + -64. Suppose 704 = j*o + 5*o. What is the units digit of o? 8 Let i = -10 + 13. Suppose -i*l + 1 = o - 7*l, -2*o - 5*l = 24. Let q(c) = -c**3 - 5*c**2 + 2*c - 8. What is the tens digit of q(o)? 7 Suppose 0 = -u - 0 + 3. Let g(v) = -3*v**2 - v + 4. Let b be g(-3). Let y = u - b. What is the tens digit of y? 2 Suppose -r + 16 = 4*j, 24 = -5*r + 3*j - 11. Let t be 1/r - (-39)/12. Suppose -t*u = -94 - 23. What is the tens digit of u? 3 Let j(q) be the second derivative of -q**4/12 - 10*q**3/3 + 5*q**2 + 30*q. What is the hundreds digit of j(-9)? 1 Suppose 32 - 20 = 4*p. Suppose -2*c = p*t - 54 - 109, 4*t + 109 = c. What is the units digit of c? 9 Suppose -48 = -5*l - 4*u - 10, -3*l + 10 = -4*u. What is the tens digit of (l/(12/146))/(2/4)? 4 Let u(s) = s + 4. Let r be u(-2). Suppose r*n = n. Suppose -y + 0*y + 68 = n. What is th
{ "pile_set_name": "DM Mathematics" }
.7 in -0.07, -1, 1/288, 1? 1 Which is the closest to -1? (a) 1 (b) -6/5 (c) 2/9 (d) -6/13 (e) 4940 b Which is the closest to -1? (a) 49 (b) -2 (c) 0.0285 (d) -0.4 (e) 0.3 d Which is the closest to -10? (a) -424 (b) 0.2 (c) -2 (d) 2 (e) -1/6 c Which is the closest to 0.09? (a) -5 (b) -2 (c) 15/7 (d) 1/5 (e) -2/7 d Which is the nearest to -4/9? (a) -2/1639 (b) -19 (c) 4 (d) -4 a Which is the closest to 2/3? (a) 4/7 (b) -4 (c) 46 (d) 91 a Which is the nearest to -0.03429? (a) -7 (b) -37 (c) 0 c What is the closest to -1 in -3/83, 5, 8, -0.5, 3/5? -0.5 What is the closest to 13 in -0.239, -3/2, -0.2, 1, -0.5, -3? 1 What is the nearest to 0 in 43, 1/4, 4, 3, 1401? 1/4 Which is the nearest to -0.96? (a) -1/7 (b) -3 (c) 0.21 (d) 1/2 (e) 10 a Which is the closest to -1/3? (a) 0.06 (b) 58 (c) 0.18 (d) 4.1 a What is the nearest to 6/79 in 1/34, 40/7, 0.3, -1, 2/23? 2/23 What is the nearest to -0.3 in -1, -5, -4, 6, 106? -1 What is the closest to 2 in 4, 0.29, 2012, -4, 5, 6/5? 6/5 What is the closest to 31136 in -1/2, 10, 0, 0.4, -2, 1? 10 Which is the closest to 7/4? (a) -3/196 (b) -72 (c) 2/7 c What is the nearest to -29 in -1, -5, 31/84, 202? -5 Which is the closest to -2/5? (a) 0.5 (b) -2194 (c) -3 (d) 2 (e) 79 a Which is the closest to 0.3? (a) 2 (b) 9 (c) -2/93 (d) 9.8 (e) -2/9 c What is the closest to 1 in -3, 1, 211169, -3/5? 1 Which is the nearest to 0.11? (a) 14 (b) 0.2 (c) 1645.3 b What is the closest to -1/10 in 112, 4, -4061? 4 Which is the nearest to -0.034? (a) -0.2 (b) -32759/3 (c) 1/8 (d) 1 c Which is the closest to 0? (a) 3/8 (b) 3/4846 (c) 1/19 (d) 0.3 (e) 0 e Which is the nearest to 1? (a) -11 (b) 4 (c) -1393 (d) 1/9 (e) 2/3 e What is the nearest to -0.1 in 356, -0.2, 17, -0.1, -0.5? -0.1 Which is the closest to -0.305? (a) -2/25 (b) -4 (c) 283 a Which is the nearest to 4? (a) 0.39 (b) 10547 (c) -5 a Which is the nearest to 513? (a) 64 (b) -2/7 (c) -2/13 (d) -0.08 a Which is the closest to -112? (a) -0.1 (b) 2/7 (c) 5 (d) -5 (e) -5/2 (f) -2741 d What is the closest to 2/363 in -0.034, -0.3, 5, -1, -4, 2? -0.034 Which is the closest to 109? (a) -1/2 (b) 4/11 (c) 4 (d) 43 d What is the nearest to 2/53 in -4171/4, -0.23, 0.3, 2/5? 0.3 Which is the closest to -165? (a) 0.06 (b) 17 (c) -0.3 c Which is the closest to 40? (a) 8 (b) 4 (c) -1050 a What is the closest to 3 in -0.06, 9, -0.0323, 10, 7/2? 7/2 What is the closest to 126 in -1/12, -1, -4, 2/21? 2/21 Which is the nearest to 1? (a) 3/4 (b) 0.5 (c) 22591 (d) -3.4 (e) 1 e What is the nearest to -0.1 in 1769, -19, 30/11, 0.2, -3? 0.2 Which is the closest to 1? (a) -406 (b) 0.6 (c) -2086 (d) 1 d What is the nearest to 0 in -1, -5, -2495311? -1 Which is the closest to -1122/19? (a) -3 (b) 410/3 (c) -2/5 a What is the nearest to -9 in 1/10, -0.35, -0.04699? -0.35 Which is the nearest to -0.79? (a) -4 (b) 1/9 (c) 1/2 (d) -8 (e) 206 b What is the closest to -0.3 in -0.1, 32/3, 4, 5, 1.12? -0.1 What is the closest to 39218 in 89, -1/5, -2/13? 89 What is the nearest to -39702 in -1, -2, -0.14? -2 What is the nearest to -1/4 in 65, 76, -0.4, 5, -52? -0.4 What is the closest to 3 in 2/37, -24.19, -1? 2/37 What is the nearest to -1 in 1/3, -67, 82, 2, -1? -1 What is the closest to -4375.5 in 2, 5, -0.21, -10/11? -10/11 Which is the nearest to -804? (a) 16 (b) 0.8 (c) -198 c What is the closest to -17.1 in 1, 805, 0.3, -4? -4 What is the nearest to 0.1 in 1/239, 0.02, -23/16, 5, 0.1? 0.1 Which is the closest to -33? (a) 6 (b) -392 (c) -3 (d) 4 (e) -3/5 (f) 5 c What is the nearest to -2/87 in 1, 68, 0.06, 0, 3/5? 0 What is the closest to 2 in 41, -14/25, 0.22, 0.26, -0.2? 0.26 What is the nearest to -2/3 in 2/17, -1, 2/95, 1? -1 What is the nearest to 0.8 in -6/13, -281, 0.2, -156? 0.2 Which is the closest to 3? (a) -0.2 (b) 12 (c) 72.4 (d) -3.37 a What is the closest to -1 in -3, 4.2, 0.3, 3/8, 4, 21? 0.3 Which is the closest to -1? (a) 137 (b) 11 (c) 42/407 c Which is the nearest to 0.2? (a) 6 (b) 213 (c) 4 (d) -1.5 (e) 0.5 e Which is the closest to 5/6? (a) 3 (b) 1/30 (c) 6 b Which is the nearest to -0.1? (a) 0.19 (b) 20/23 (c) 0.5 (d) -16 a Which is the closest to -172? (a) -1.6 (b) -3/23 (c) 0.4 (d) 5 a Which is the closest to 0.082? (a) 0 (b) -2 (c) 11/7 (d) 2/21 (e) -0.3 (f) 2/5 d What is the closest to -1 in -0.2, 3, -1126, 5, 1/38? -0.2 Which is the nearest to 0.1? (a) -280 (b) 48/7 (c) 30 (d) 1/2 (e) -2 d Which is the nearest to -1? (a) 1043 (b) 2 (c) -3 c Which is the closest to -0.04? (a) 1/3 (b) 5 (c) 1 (d) 7.9 (e) -88/7 (f) 0.2 f What is the closest to 2/3 in 0.07, 0.0194307, 2/11? 2/11 What is the closest to -12.1 in -0.1599, 1/6, 3/10? -0.1599 What is the nearest to 0.2 in -5, -1420, 122, -3, 3? 3 Which is the closest to 1040/7? (a) -1 (b) -1/2 (c) 9/2 (d) 2 (e) -1/7 (f) 2/9 c Which is the closest to 2? (a) -6479 (b) -0.3 (c) 2/3 c What is the nearest to -1 in 22, 311.06, -0.2? -0.2 Which is the nearest to -1160? (a) 4 (b) 180/173 (c) -1 c What is the closest to 75 in -3.606, -244, 2/5? 2/5 Which is the closest to 1? (a) -3/5 (b) 1 (c) -5/4 (d) 1698 (e) -2/19 b What is the closest to -1/4 in -0.1, -4/25, 3/4, 296, 12? -4/25 Which is the closest to -3.9? (a) 18 (b) -3 (c) -0.2 (d) -112 (e) 0.8 b Which is the closest to -2? (a) -0.3 (b) -0.21 (c) 0.4 (d) -183 a What is the closest to -37 in 0.1, 59, 0.19, 1/70, 2/15? 1/70 What is the closest to -3048 in -8, 0.1, 1/7, 7? -8 What is the closest to -0.1 in -4/3, 8623681, -0.1? -0.1 What is the nearest to -3/5 in 2, 0.4, 49083, -8? 0.4 What is the closest to -19829/3 in -2/39, 1/2, 2? -2/39 Which is the nearest to 19/5? (a) -0.37 (b) -2/7 (c) 0 (d) -1/51 (e) -1/2 c What is the nearest to 56 in -1/3, -2/3, 3/4, 3, -2/11, 0.263? 3 What is the nearest to 265 in 14, 124, 0.3, -2? 124 What is the closest to 4 in 0.04, 59194, -12? 0.04 Which is the closest to -334? (a) -5 (b) -2/3 (c) 0.04 (d) -2/1709 a What is the nearest to -3.79 in -4, -0.3, -7, 457? -4 Which is the nearest to 1? (a) -10941 (b) 2 (c) -7 (d) -24 (e) -0.5 b Which is the closest to -0.08? (a) -0.03 (b) 172/7 (c) 0.5 (d) 5 (e) 0 a Which is the closest to -2/23? (a) -873 (b) 5 (c) -3 c Which is the closest to 4? (a) 341/105 (b) -1/3 (c) 4 (d) 0.3 (e) -8 (f) -0.01 c What is the nearest to 0.23 in 0.5, 0.3, -1/8, 14, 2/89? 0.3 Which is the nearest to -1/61? (a) -3 (b) 62 (c) 1.77 c What is the closest to -127299 in -4, -507, 2? -507 Which is the closest to 0.1? (a) -6 (b) 38 (c) -0.465 (d) 1.7 (e) -3 c Which is the nearest to -9? (a) 3/4 (b) -19 (c) 1.77 (d) 2/23 (e) -1 e Which is the closest to 30462? (a) -0.1 (b) 4 (c) 0.9 b What is the closest to -5/2 in -64617, 1/6, -1/2? -1/2 What is the nearest to -20/13 in -1.2, 5, -5, -638? -1.2 What is the closest to 39 in 0.5, -2/5, 1, -3.84? 1 What is the closest to -1/2 in -3/2, 0.4, 0.2, -193, 3, -5? 0.2 What is the closest to 2 in 0.01, 4/7, 2, -2/5, -25.34? 2 Which is the closest to 1/3? (a) 1/6 (b) -1/7 (c) -509 (d) 2/3 (e) 0.04 (f) 10.1 a Which is the nearest to -0.09? (a) -635.6 (b) -0.3 (c) -39 (d) -0.2 d Which is the closest to 5? (a) -15/52 (b) -1/4 (c) -0.4 (d) 52 b Which is the closest to -0.1? (a) -5 (b) -0.17 (c) 150 b What is the closest to -11.67 in -0.1, 3, 2144? -0.1 Which is the closest to -213? (a) 0.2 (b) -3/2 (c) 1.294 (d) -2/9 (e) 0 b Which is the nearest to -0.11? (a) -4 (b) 6/131 (c) -33 (d) -124 b What is the closest to -7 in -0.2, 0.9, -82291/2? -0.2 What is the closest to 2 in -15.5, 0, 3/25? 3/25 Which is the nearest to 12.4? (a) -1216 (b) 2 (c) -2/17 (d) -14 b What is the nearest to 1/3 in -2/9, 3, -5526170? -2/9 What is the closest to 39/5 in 1/3, -1687, 3/4? 3/4 What is the closest to 302 in -0.5, -48, -2, -0.3, -0.4? -0.3 Which is the nearest to 3.29? (a) 17 (b) 2/7 (c) 63.37 (d) 0.5 d What is the closest to 23868 in 6/13, -15, 4, 2.6? 4 What is the nearest to -1 in 218, -0.3, 13? -0.3 Which is the closest to -21? (a) 0 (b) -1/111 (c) -0.23 c Which is the nearest to 3? (a) -22/60153 (b) 0 (c) -4 b What is the closest to 3 in -1/4
{ "pile_set_name": "DM Mathematics" }
lest value? (a) -2223 (b) -0.2 (c) 4 (d) -12 d Which is the smallest value? (a) -36 (b) 6 (c) -0.3 (d) 0.054 a What is the sixth smallest value in 1.2, 1, 8, 0.454, 1/5, -2/7? 8 Which is the second biggest value? (a) -4 (b) -18872 (c) -4/3 (d) 5 c Which is the fourth smallest value? (a) -30 (b) -2/5 (c) 1.6 (d) -1 (e) -5 b Which is the biggest value? (a) -1/6 (b) -0.5 (c) -0.05 (d) -985 c What is the second biggest value in 7.99, -625, -0.2? -0.2 Which is the smallest value? (a) 174/19 (b) 1254 (c) -2 c What is the biggest value in 0.0084, -1/5, -33/17? 0.0084 Which is the biggest value? (a) 112 (b) 0.4 (c) 72 (d) 1/5 a What is the second smallest value in 3, 3/16, 5, -27, 0.2, -31? -27 Which is the smallest value? (a) -1/4 (b) -1 (c) 1115 (d) 1.1 (e) -0.23 b Which is the third biggest value? (a) -1/5 (b) -2/13 (c) -2/33 a What is the fifth biggest value in 1/26, -0.1, -2, 6, 4? -2 Which is the fourth smallest value? (a) 29.26 (b) 2/19 (c) -6 (d) -5 (e) 10 e What is the biggest value in -4, -1/3, -0.4, -33, 5.4? 5.4 What is the third smallest value in 5/37, 0.3, 4/99, 3? 0.3 What is the fourth smallest value in 661, -2/21, 0.3, -1.1? 661 What is the second smallest value in 2/7, 1/7, 5, -36, 3? 1/7 Which is the third biggest value? (a) -2.49482 (b) 3 (c) -13 c Which is the fourth biggest value? (a) 19 (b) 4/53 (c) 30 (d) 0.4 (e) -2/3 b Which is the fourth biggest value? (a) -16 (b) 2/19 (c) 5 (d) 64/49 a What is the second biggest value in 30, -3, 2/11, 2, -2.6? 2 Which is the sixth biggest value? (a) 4 (b) -0.2 (c) 0.05 (d) -0.02 (e) 0.5 (f) 18 b What is the fifth biggest value in -1, -2/7, -0.43, 2/33, 0.052? -1 What is the third smallest value in -43/2, -0.13, 4, 77? 4 What is the third smallest value in -5, -0.07, 5, 3, 296, 12? 3 Which is the smallest value? (a) -12 (b) 18235 (c) -3 a Which is the biggest value? (a) 1/14 (b) 0.4 (c) -4/7 (d) -2/47 (e) 44 (f) 1 e What is the third biggest value in -79, -0.06, -0.4? -79 What is the fourth smallest value in 3, -1211, -0.1, 1/5, 4, -0.3? 1/5 Which is the fifth smallest value? (a) 1 (b) -0.5 (c) 1/5 (d) -1/5 (e) -1/14 a What is the fourth smallest value in 2/13, 19, -5, 4, -4, 15? 4 Which is the second biggest value? (a) -0.05 (b) 0.5 (c) -396 a What is the fourth biggest value in -3, -4, 15, 2/53? -4 Which is the fourth smallest value? (a) 2/15 (b) 3 (c) -0.3 (d) -3040 b What is the fourth smallest value in 0.46, -1, 30.9, 1/15? 30.9 Which is the smallest value? (a) -2 (b) -5/36 (c) -0.5 (d) 1.4 a Which is the second biggest value? (a) -2/9 (b) 16/13 (c) 0.16 c Which is the third smallest value? (a) -2/1761 (b) 0.1 (c) 1/5 c Which is the fourth biggest value? (a) -2/11 (b) 1 (c) -16/131 (d) -0.5 (e) 0 (f) 2/3 c What is the third biggest value in 11, 0.4, -188, 0.09, -3, -1/22? 0.09 Which is the biggest value? (a) 0.1 (b) -36/7 (c) -7 a What is the biggest value in -10111, -1.4, -0.2? -0.2 What is the second smallest value in 11/299, -0.1, 1, -0.047? -0.047 Which is the second biggest value? (a) 2 (b) 0.3 (c) 256 (d) -1627 (e) -4 a What is the third smallest value in 2487, 2/3, 160? 2487 Which is the third biggest value? (a) -2 (b) -1040481 (c) 1 b Which is the fourth smallest value? (a) 3 (b) 515 (c) -2/3 (d) 3/2 b What is the third smallest value in 0.101, 26/3, -3, 25/2? 26/3 Which is the third biggest value? (a) -1/16 (b) 3 (c) 14 (d) -0.31 (e) -4 a What is the second smallest value in 10.61, 3.6, 0.18? 3.6 Which is the third biggest value? (a) -2791 (b) 2 (c) 6 a Which is the smallest value? (a) 1089 (b) 2/27 (c) 26 b What is the third smallest value in 14/5, 0.0519, 0.4, -4, 3? 0.4 What is the third smallest value in -2/17, -1, -0.89, 1/6? -2/17 What is the smallest value in -4, 5, 2/3, 3367, -0.5? -4 What is the third smallest value in 2/3, -55715, -2/7? 2/3 What is the third biggest value in 880, -0.5, 2, 0.04? 0.04 What is the third biggest value in 0.3, -2, 23, -4, 4, -1.11? 0.3 Which is the fifth biggest value? (a) -349 (b) -1/3 (c) 8/5 (d) -4 (e) 1 a Which is the third smallest value? (a) -2/3 (b) -0.049 (c) 5 (d) -93 (e) -4 (f) -0.1 a Which is the third smallest value? (a) -335/31 (b) 0 (c) -3 (d) 0.3 b Which is the second smallest value? (a) 6/7 (b) -5 (c) 0.11 (d) 1/4 (e) 5 (f) -4 f What is the third smallest value in 14, 5, 5347/5? 5347/5 Which is the fourth biggest value? (a) 4 (b) -3/20 (c) 86 (d) -0.1 (e) -4 b Which is the fourth smallest value? (a) 755 (b) -1/8 (c) -1 (d) -4 (e) -1/2 (f) 2/21 b Which is the second biggest value? (a) 6.8 (b) -536 (c) -0.4 c What is the biggest value in 3/2, -0.2, 6? 6 Which is the smallest value? (a) -3/5 (b) 0.2 (c) -40948 c What is the second smallest value in 1/1465, 4, 2/95? 2/95 What is the biggest value in 3/5, -379, 1/8? 3/5 What is the biggest value in -2/19, -1, 938? 938 What is the smallest value in 3.3, -38/13, 2, 0.3, -2? -38/13 Which is the second biggest value? (a) 0.4 (b) -7 (c) -1770 b What is the biggest value in -5, 0.1, -0.3, -3.8, 5? 5 Which is the fifth smallest value? (a) -3.9 (b) 0.7 (c) 5/3 (d) 13 (e) 2/21 d Which is the third smallest value? (a) -2/5 (b) -3 (c) 12818 (d) -0.2 d Which is the smallest value? (a) -4 (b) 95 (c) 0.4 (d) -103 (e) -0.18 d What is the biggest value in 2, 2/3, -2/5, -11.6, 15/2? 15/2 What is the third smallest value in -3, 3676, -17, -4, -0.2? -3 Which is the fourth biggest value? (a) -229 (b) -9 (c) 1 (d) -18 a Which is the third biggest value? (a) -1/2 (b) -4 (c) -0.05 (d) 3 (e) 22.7 c Which is the second biggest value? (a) 5 (b) -643767 (c) -1 (d) -4 c Which is the smallest value? (a) -21 (b) -1/7 (c) 5 (d) -28/5 a What is the second smallest value in 3, 0.0058, 9? 3 What is the fourth smallest value in -4, -25337, 4/7, -1/4? 4/7 Which is the fourth biggest value? (a) -1/88 (b) 3/5 (c) -1/4 (d) 0.3 c What is the biggest value in 1/179, -1, 1.2, 2/399? 1.2 What is the biggest value in 2/9, 610, -0.4, 2, -1? 610 What is the smallest value in -4, -0.1, 0.2, 4, -41, -1? -41 What is the second biggest value in -7, 1/3, 0.51, 5? 0.51 Which is the biggest value? (a) 9530 (b) -7 (c) 0.01 a Which is the third smallest value? (a) -3/4 (b) 7 (c) -1 (d) -50 (e) -0.3 (f) 19 a Which is the second biggest value? (a) -2192 (b) -3/7 (c) 0.2 b What is the third smallest value in -0.11, 1, 0.04, 18? 1 What is the fourth biggest value in -2, -0.2, 3/10, 9/49? -2 What is the second biggest value in -65, -1, -0.0316? -1 Which is the third smallest value? (a) 3/2 (b) 63/4 (c) -2/11 (d) -1.02 (e) -5 (f) 5 c Which is the smallest value? (a) -3/2 (b) 1/7 (c) -243 (d) -1669 d Which is the smallest value? (a) -0.3 (b) 2 (c) 1 (d) 17 (e) -2/23 a Which is the third smallest value? (a) -957 (b) 1 (c) -28 b What is the fifth biggest value in 160, 0.5, 6, -10, -3/5? -10 Which is the smallest value? (a) 0.2 (b) 2 (c) -3/46 (d) -1.4 d What is the fourth biggest value in 83.7, -3/10, -4/7, -1? -1 What is the biggest value in -5, 31, 1, -0.4, 98, 3/2? 98 Which is the biggest value? (a) 0.9 (b) -1468 (c) -2/11 a What is the third biggest value in -4, -0.5, 4/5, -38, 8, 0.07? 0.07 What is the third biggest value in -227, 0.2, -0.4, -24, 15? -0.4 What is the smallest value in 5.03, -2, 26? -2 What is the fourth smallest value in 4, -5, 1, 0.703, 2/19? 1 What is the third biggest value in 3/70, -15.1, -99? -99 What is the third smallest value in 2, 5.08, -0.4, 14/5? 14/5 What is the fifth smallest value in -3, -8/29, -3/5, 5, 0.2? 5 Which is the second biggest value? (a) 3 (b) -4 (c) 27038 (d) -5 (e) 0.1 a What is the biggest value in 147, 1, -4, 0? 147 Which is the second biggest value? (a) -0.13 (b) -7 (c) 2 (d) 0.192 d Which is the biggest value? (a) -0.05 (b) -2/13 (c) 3 (d) -2 (e) 5/4 (f) 0.87 c What is the second biggest value in -4, 616572, -3? -3 What is the fifth biggest value in -1/4, 0.2, -179, 2, 0.3? -179 What is the second smallest value in 0.11, -3, 0, 5, 21/22? 0 What is the smallest value in 5, -12, 0.06, -31? -31 What is the smallest value in 2/13, 8889, 36? 2/1
{ "pile_set_name": "DM Mathematics" }
5*p + 48000006, 5*q = p - m*p + 38400015. Round p to the nearest 1000000. 10000000 Suppose 0 = 10*w - 1216885 + 466925. Suppose -z - w = 2*z - d, 4*z + 100004 = -d. Round z to the nearest 10000. -30000 Let l = 3.44614826 - -0.05396074. Let b = -3.5 + l. What is b rounded to five decimal places? 0.00011 Let y = -89.23 + 90. Let p = y + 2.33. Let w = p - 3.0892. What is w rounded to three decimal places? 0.011 Suppose -2*l - 58029 = -485111. Let x = 123541 - l. What is x rounded to the nearest ten thousand? -90000 Suppose 2*g + 92 = k - 576, 3*k = 3*g + 1005. Suppose -4*l - 3*a + 356 = 76, -4*l + 4*a = -308. Let h = g + l. What is h rounded to the nearest 100? -300 Let u = -108 + 107.85. What is u rounded to two decimal places? -0.15 Let h = 2272.99998667 - 2273. What is h rounded to 5 dps? -0.00001 Suppose -h + 2*b - 7*b = -37620, -b = -3. Suppose 93985 = -5*t - 3*c, -3*t = -t - c + h. Round t to the nearest one thousand. -19000 Let f = 765 - 447. Let q = 4056.808 + -3738.8223. Let r = f - q. What is r rounded to 3 decimal places? 0.014 Suppose -s + 5*s = 28. Suppose -g = -2*g - s. Let w = g - 49. What is w rounded to the nearest 10? -60 Suppose b - 4*l = -171896, 3*b - 5*l + 418735 = -96925. What is b rounded to the nearest ten thousand? -170000 Let n = -0.193302451 - -0.1933. Round n to seven decimal places. -0.0000025 Let r = 67 - 66.999992374. What is r rounded to 6 dps? 0.000008 Let f = -11 + 12.7. Let q = 2.00867 - 0.30903. Let j = q - f. What is j rounded to 4 dps? -0.0004 Let m(l) = -240630*l + 28. Let f(z) = 96252*z - 11. Let t(u) = 12*f(u) + 5*m(u). Let q be t(8). Round q to the nearest 100000. -400000 Let q = -2708029665.706962 + 139.706962. Let v = q - -2708029479.99999942. Let y = v - -46. What is y rounded to seven decimal places? -0.0000006 Let d = 239673014.00000075 + -239673066. Let g = 52 + d. What is g rounded to 7 dps? 0.0000008 Let o = -0.65 + -12.05. Let n = -2099.32146 + 2086.62. Let z = o - n. Round z to 4 dps. 0.0015 Let k = 1.05 + -1.049967. Round k to five dps. 0.00003 Let a = -2.37 - -0.07. Let d = a + 2.2893. Round d to 3 dps. -0.011 Let m(a) = a**2 + 3*a - 3. Let u be m(-6). Let o be 13200004/(-5) - (-12)/u. What is o rounded to the nearest 100000? -2600000 Let n = -118 - 42. Let i = 192.54 + -351.75. Let v = n - i. What is v rounded to 1 dp? -0.8 Let l = -1.9909 + 2. Let t = -11.9109 - l. Let d = -12 - t. Round d to one dp. -0.1 Let g = 0.38 + 12.604. What is g rounded to zero dps? 13 Suppose 4*z + 14 + 25 = g, -2*z - 42 = 4*g. Let h(v) = -112 + 3936*v - 13028*v + 100. Let a be h(z). What is a rounded to the nearest 10000? 100000 Let r(d) = 1075*d**2 + 544*d**2 + 3*d + 335*d**2 - 5 + 989*d**2. Let u be r(7). Let s = u + 25777. What is s rounded to the nearest one hundred thousand? 200000 Let i = -7 + 11. Let r(s) = -4*s**2 - 6 + 0*s**2 + 3*s**2 + 3*s. Let f be r(i). Round f to 0 decimal places. -10 Let t = -0.31 + 0.463. Round t to one decimal place. 0.2 Let p(n) = -n**3 + n + 18. Let r be p(0). Let f be (-7434004)/r - (-9)/(81/2). Round f to the nearest 100000. -400000 Let u = 31 - 33.7. Let i = -3 - u. Let x = 1.3 - i. What is x rounded to the nearest integer? 2 Let i be 4*(-1)/2 + 3. Let k = i - 2. Let j be (-4)/((-1)/(-5)*k). What is j rounded to the nearest 10? 20 Let h = 1.05 - 0.15. Let i = h - -0.1. Let r = i + -1.0003. What is r rounded to 3 decimal places? 0 Let x = 481.209355 + 0.060645. Let c = x - 484. Let q = 2.73000226 + c. Round q to 7 decimal places. 0.0000023 Let b = 9 - 6. Suppose -u = 4 + b. Let o(g) = g**3 - 5*g**2 + 3*g + 9. Let i be o(u). Round i to the nearest 100. -600 Let j = -0.1 - -11.1. Let q = 11.015 - j. Let f = q - -3.085. Round f to zero decimal places. 3 Let j = -9.8 + 11. Let z = -55.95730112 - -54.7573. Let u = j + z. Round u to seven decimal places. -0.0000011 Let n be ((-6)/(-3) + 10)*15452. Suppose -3*p - 1460430 = -5*t - n, 2*t - 510004 = 2*p. What is t rounded to the nearest 10000? 260000 Let s = -0.069 - -1.33. What is s rounded to 1 decimal place? 1.3 Let v = 29.25 - 29.23809. Round v to 3 decimal places. 0.012 Let o(f) be the second derivative of f**4/3 - 3*f**2/2 + 7*f. Let w be o(-7). Round w to the nearest 10. 190 Let y = -69.2 + 62. Let d = y + 7.20059. What is d rounded to four dps? 0.0006 Let x = 6177 - 6177.018916. Let h = -0.881 + 0.9. Let u = x + h. What is u rounded to five dps? 0.00008 Let x = 0.987 - 0.9869049. What is x rounded to six decimal places? 0.000095 Let f(k) be the first derivative of 12 + 25*k - 59/2*k**2. Let p be f(-15). Round p to the nearest one hundred. 900 Let t(v) = 8*v**2 + 26*v - 13. Let s be t(10). Suppose s = 5*h - 3*w, -5*h = 3*w + 473 - 1496. Round h to the nearest 10. 210 Let s be 3*4 + -2 + 0. Suppose -s*p + 87753 = -7*p. Suppose r = -5*x - 224996, 3*r - p - 15761 = x. What is x rounded to the nearest 10000? -50000 Let k = 3.987279 - 10.9872766. Let u = 7 + k. What is u rounded to six decimal places? 0.000002 Let l = 17 - 8. Let x be (-33)/l + (-4)/(-6). Let p be (212498 + 2)/(x/96). What is p rounded to the nearest one million? -7000000 Let a = 0.183 + -0.034. Let i = 0.071 - a. What is i rounded to two dps? -0.08 Let c = -1.48 + -0.17. Let g = 0.15 + c. Let w = g + 1.4999. What is w rounded to four dps? -0.0001 Suppose -12 = y + o - 0, -2*o = -y. Let c be -296114 + 4/y*-6. Let b = c - -496111. Round b to the nearest one hundred thousand. 200000 Let b = -0.05123 + 13.10923. Let f = 13.234 + -0.234. Let u = b - f. Round u to 2 decimal places. 0.06 Let z(t) = 1094862*t**3 + t + 2. Let i = 8 - 6. Let l be z(i). Let a = l + -16558900. Round a to the nearest 1000000. -8000000 Let m(r) be the first derivative of -4*r**3 + 2*r**2 + r + 19. Let b be m(-2). Round b to the nearest 10. -60 Let q(p) = -p**2 + 14*p - 1. Let b be q(14). Let z be (5349/9 + b)/((-3)/1350). Round z to the nearest 10000. -270000 Let g = 0.00484 - -0.0115. What is g rounded to 3 decimal places? 0.016 Let u = 355.0000214 - 355. What is u rounded to six dps? 0.000021 Let v = 167.621 - 168. Round v to 2 decimal places. -0.38 Let q = -52.4205 + 0.1205. What is q rounded to the nearest integer? -52 Let g = -7.3 - -13.1. Let r = -5.8000096 + g. Round r to 6 decimal places. -0.00001 Let r = -0.454 - -231.454. Let q = r + -230.9999837. What is q rounded to 5 decimal places? 0.00002 Let a(l) = 3*l**2 + 2*l - 5980. Let s be a(0). What is s rounded to the nearest 100? -6000 Let a = 18.007 + -18. Let g = 31.993 + a. Let o = g + -31.32. Round o to one dp. 0.7 Let z = -1463 + 1463.0004204. What is z rounded to five decimal places? 0.00042 Let v be (6175964/12 - -3)/(8/60). Round v to the nearest 100000. 3900000 Let f = 26.867 + -55.681. Let v = f - -29.1. Round v to 2 decimal places. 0.29 Let o = -0.003012 + -191.631988. Let j = -182.63485 - o. Let x = 9 - j. Round x to 4 dps. -0.0002 Let l = 44.8669 + 0.6431. What is l rounded to zero decimal places? 46 Suppose -32 = -3*u - 5*u. Let v be (u*-50)/(2/820*-1). What is v rounded to the nearest 10000? 80000 Let y(u) = 0*u + u + u - 9 - 4*u. Let r be y(-7). Suppose 0 = r*b - 61642 - 88358. Round b to the nearest 10000. 30000 Suppose s - 6 = 4*s. Let p be -369*(10/6 + s). What is p rounded to the nearest 10? 120 Let s be 23504112/2 + (-3 - -3). Suppose 3*p = s + 397884. Suppose 2*x + 5*q - 3757599 = -1057579, p = 3*x - 5*q. What is x rounded to the nearest 100000? 1400000 Let v = -6577599.47 + 6577553.7699769. Let n = 45.7 + v. What is n rounded to 6 dps? -0.000023 Suppose r + 2*g - 3711992 = 0, g + 16494816 = 5*r - 2065188. Round r to the nearest one hundred thousand. 3700000 Let k = -667 + 668.968. Round k to two dps. 1.97 Let j = -692 + 693.06. What is j rounded to 1 dp? 1.1 Let l = 203 + -145. Let t = 83 - 56. Let b = t - l. What is b rounded to the nearest ten? -30 Let n = 0.7 + -0.68. Let y = -19.58 - -19.600025. Let h = n - y. Round h to 6 dps. -0.000025 Let d = -95492.6 - -95546.60008. Let f = -54 + d. Round f to four dps. 0.0001 Let i(q) = 8*q**2 + 22*q - 94. Let n be i(6). Round n to the nearest one hundred. 300 Let q be (8 - 126758)*(-1)/((-3)/600). What is q rounded to the nearest one million? -25000000 Suppose 0 = 2*s - 28 - 28. Suppose -5*b - 2*y = -24, -3*b + 4*y - s = -8*b. Suppose b*w + 4 = 2*w. Round w to the near
{ "pile_set_name": "DM Mathematics" }
late -340*k(z) - 2*q(z). -1768*z**2 Let a(j) = 69*j**3 + 5*j**2 - 9*j + 14. Let r(s) = 68*s**3 + 6*s**2 - 11*s + 12. Calculate -6*a(k) + 5*r(k). -74*k**3 - k - 24 Let v(s) = -23*s**2 - 7*s - 2. Let m(t) = 10*t**2 - t - 1. Let k(i) = -3*m(i) - v(i). Let u(a) = 3*a**2 - 5*a - 3. Determine -3*k(f) - 5*u(f). 6*f**2 - 5*f Let p(x) = -51*x**2 + 18*x + 57. Let i(u) = -103*u**2 + 33*u + 110. Calculate -6*i(a) + 11*p(a). 57*a**2 - 33 Let w(v) = -36*v**3 + 16. Let z(g) = 7*g**3 - 4*g**2 + 2*g - 1. Let a(t) = -35*t**3 + 22*t**2 - 11*t + 4. Let p(q) = -2*a(q) - 11*z(q). Give 22*p(u) - 4*w(u). -10*u**3 + 2 Let k(d) = -9*d**3 - 2*d - 149. Let x(m) = m**3 + m + 2. Calculate k(b) + 2*x(b). -7*b**3 - 145 Let r(s) = 19*s + 3. Let p(j) = -132*j - 22. Let y(t) = -2*t**2 + 66*t + 1083. Let w be y(45). Determine w*p(x) + 22*r(x). 22*x Let n(s) = 9*s - 4. Let i(g) = -65. Let j(x) = 17*x + 383. Let w(a) = 6*i(a) + j(a). Calculate -5*n(m) + 3*w(m). 6*m - 1 Let o(g) = -9*g + 5. Let w(x) be the second derivative of -3/2*x**2 + 0 + 71*x + 2/3*x**3. Determine 3*o(y) + 5*w(y). -7*y Let s(o) = -11*o**2 + 168*o - 83. Let p(k) = 2*k**2 + 14. Give 6*p(t) + s(t). t**2 + 168*t + 1 Let b(o) = -1. Let g(v) = -4*v**2 - 2*v + 19. Let x(s) = 10*s**2 + 5*s - 42. Let d(f) = -7*g(f) - 3*x(f). What is -6*b(h) + d(h)? -2*h**2 - h - 1 Let a(u) = -11107451*u**3 + 1773*u + 81558. Let n(t) = 62636*t**3 - 10*t - 460. What is -10*a(y) - 1773*n(y)? 20882*y**3 Let h(v) = -v + 277. Let m(x) = -2*x + 270. Give -6*h(f) + 5*m(f). -4*f - 312 Let u(j) = 5865*j**3 + 459*j**2 - 459*j + 459. Let m(s) = 1 - 4*s**2 - 51*s**3 + 10*s + s + 9*s - 16*s - 5. What is 459*m(a) + 4*u(a)? 51*a**3 Let z(l) = 2*l + 1. Let x(i) = -1. Let p(s) = 7*s**2 + 6*s**3 - 21*s**3 - 5*s**2 + 4*s**3 + 10*s**3. Let k be p(1). Calculate k*z(a) - 4*x(a). 2*a + 5 Let d be (8/12)/((-16)/24 - 0). Let v(j) = 0 + 3*j - 8*j + 3*j**2 - 6. Let y(a) = -a - 1. Determine d*v(f) + 6*y(f). -3*f**2 - f Let q(a) = 85*a - 1. Let d(n) = 28*n - 4. Let j(p) = 3*d(p) - q(p). Let w(z) = z**3 - z - 11. Determine 3*j(i) - 2*w(i). -2*i**3 - i - 11 Let x(y) = 6*y**3 - 20*y**2 - 1334. Let d(k) = -3*k**3 + 8*k**2 + 667. Determine 5*d(o) + 2*x(o). -3*o**3 + 667 Let g(i) = -i**3 - 590*i**2 + 2*i + 14. Let r(f) = -6*f**3 - 3539*f**2 + 13*f + 91. What is -39*g(o) + 6*r(o)? 3*o**3 + 1776*o**2 Let w(s) = -27*s**2 + 4*s + 4. Suppose 0 = o - 2*r - 4, 3*r - 105 + 93 = -3*o. Let y(q) = 26*q**2 - 5*q - 5. Determine o*y(a) + 5*w(a). -31*a**2 Let z(o) = o - 1. Let j(p) = 18*p - 24. Let x(i) = -2*i**2 + 115*i - 911. Let f be x(48). Determine f*j(u) - 24*z(u). -6*u Let o(u) = 2269*u**3 + 11*u**2 - 14. Let z(d) = 756*d**3 + 4*d**2 - 5. Determine 4*o(y) - 11*z(y). 760*y**3 - 1 Let i(b) = 3*b. Let g(s) be the first derivative of 3*s**2 - 2287. Suppose -4*q + 3*t = -19, q + 4*q = 3*t + 23. What is q*g(j) - 7*i(j)? 3*j Let q(z) = 20*z**2 + 25*z + 15. Let r(c) = -11*c**2 - 13*c - 8. Give 6*q(p) + 11*r(p). -p**2 + 7*p + 2 Let l(a) = -5*a + 9. Let d(s) = -2*s + 1. Let i(r) be the first derivative of 4*r**2 - 10*r - 16. Let k(p) = -2*d(p) - i(p). What is -6*k(q) + 5*l(q)? -q - 3 Let q(d) = d**3 + d**2 + d - 1. Suppose 66*m - 5*k - 22 = 69*m, -7*k - 33 = 2*m. Let j(t) = -12*t**3 - 8*t**2 - 8*t + 2. Calculate m*j(o) + 8*q(o). -4*o**3 - 6 Let h(f) = 2*f**3 + 2*f**2 - f + 1. Let u(d) = -5*d**3 - 7*d**2 + 2*d - 7. Determine -3*h(b) - u(b). -b**3 + b**2 + b + 4 Let j be 6/4*(0 + -2). Let f(m) = -m + 9. Let n(p) be the second derivative of -9*p**2/2 - 5635*p. Determine j*n(v) - 2*f(v). 2*v + 9 Let n(i) = -i - 1. Let j(x) = -5*x. Let z(f) be the second derivative of -2*f**3 - 35*f**2/2 - 84*f. Let w be z(-3). What is w*j(c) - 2*n(c)? -3*c + 2 Suppose 44*l + 193 = 413. Let v(j) = -12*j + 6. Let i(p) = 1. Give l*i(q) - v(q). 12*q - 1 Let z(p) = p**2 + 3*p + 9. Let k(l) = 19 + 27*l + 62*l + l**2 - 84*l. Determine 3*k(u) - 5*z(u). -2*u**2 + 12 Let m(h) = -24*h**2 - h + 1. Let a(d) = 1047*d**2 + d - 3. What is a(j) + 3*m(j)? 975*j**2 - 2*j Let g(b) = -11*b**2 - 7*b - 9. Let n(t) = 5*t**2 + 4*t + 4. Suppose 350 = -1837*o + 1787*o. Determine o*n(u) - 3*g(u). -2*u**2 - 7*u - 1 Let z = -1 - -4. Let h(a) = -6*a - 34*a + 33*a + 19*a - 21 - a. Let f(q) = 5*q - 10. Give z*h(v) - 7*f(v). -2*v + 7 Let l(k) = -43*k**3 + 94*k**2 + 31*k + 9. Let z(d) = 15*d**3 - 33*d**2 - 11*d - 3. Calculate -6*l(h) - 17*z(h). 3*h**3 - 3*h**2 + h - 3 Let k(n) = -6*n**3 + 1378*n**2 - 4*n + 1. Let t(y) = -26*y**3 + 5513*y**2 - 18*y + 4. Determine 9*k(w) - 2*t(w). -2*w**3 + 1376*w**2 + 1 Let l(m) = -15*m - 28. Let z(g) = -10*g - 19. Let f(d) = 5*l(d) - 7*z(d). Let t be 9 - 13/(13/3) - 7. Let n(p) = -p - 1. Give t*f(r) + 4*n(r). r + 3 Let b(m) = 8*m**3 - 9*m**2. Let f = -82 + 34. Let x = f - -50. Let t(u) = u**3 - 5*u**x + 5*u**2 + 4*u**2 - 5*u**3. Determine 4*b(q) + 9*t(q). -4*q**3 Let z(m) = 5*m - 38 + 35 - 9*m. Let u(p) = 4*p + 3. Give -3*u(l) - 4*z(l). 4*l + 3 Let k(d) = -5*d - 3. Let v = -17 - -27. Let y(p) = p**3 - 9*p**2 - 10*p + 9. Let h be y(v). Let g(m) = -6*m - 5*m - 3*m - h. Determine -4*g(b) + 11*k(b). b + 3 Let d(w) = -19*w + 3275. Let h(z) = 10*z. Give -d(u) - 2*h(u). -u - 3275 Let x(k) = 46*k - 165. Let i(m) = -m + 19. Calculate 36*i(r) + 4*x(r). 148*r + 24 Let r be 528/64 + (-45)/20. Let d(j) = -15*j**3 + 50*j**2 + 2*j - 11. Let k(v) = -8*v**3 + 25*v**2 + v - 6. Determine r*d(m) - 11*k(m). -2*m**3 + 25*m**2 + m Let j(u) = 14*u**2 + 186*u - 7. Let w(g) = 12*g**2 + 188*g - 6. Give -5*j(k) + 6*w(k). 2*k**2 + 198*k - 1 Let o(a) = -27*a**3 + 4*a**2 + 2*a. Let m(j) = j**3 - j**2 - j. Suppose -2*i + c - 93 = -91, -4*c + 19 = 3*i. Calculate i*o(q) + 4*m(q). -23*q**3 - 2*q Let u(v) = v**2 - 281*v + 1103. Let y be u(4). Let o(i) = i. Let t(h) = 3*h - 18. Determine y*o(g) + t(g). -2*g - 18 Let f(v) = 118*v + 198. Let j(l) = 24*l + 38. Calculate 6*f(m) - 31*j(m). -36*m + 10 Let h(l) = -l**2 + 14*l. Let v(q) = 428*q**2 - 52*q + 1. Calculate -4*h(z) - v(z). -424*z**2 - 4*z - 1 Let r(a) = a**3 - 19*a**2 + 45*a - 92. Let p be r(14). Let u(v) = -17*v**3 - 3*v - 3. Let x(s) = -1258*s**3 - 221*s - 221. What is p*u(i) + 6*x(i)? -34*i**3 Let s(y) = 6*y + 1. Let k(x) = 2*x**2 + 23*x - 58. Calculate k(l) + 2*s(l). 2*l**2 + 35*l - 56 Let l(r) = -r**2 + 2*r - 2. Let x(s) be the third derivative of -s**3/6 + 112*s**2. Determine l(u) - x(u). -u**2 + 2*u - 1 Let j(i) = -2600*i**3 + 2*i**2 - 5*i - 2. Let w(t) = -2592*t**3 + 3*t**2 - 7*t - 3. Calculate 3*j(n) - 2*w(n). -2616*n**3 - n Let w(k) = -k + 3. Let g(l) = 317*l**2 + 2*l + 6. Give g(q) - 2*w(q). 317*q**2 + 4*q Let q(w) = 3*w - 4. Let z(d) be the first derivative of -3*d**2 + 7*d - 772. Give 5*q(i) + 3*z(i). -3*i + 1 Suppose -2*y + 32 = -4*x, 87*x - 5*y + 14 = 83*x. Let u(i) = 7*i + 4. Let q(c) = 13*c + 8. Determine x*u(o) + 6*q(o). o + 4 Let u(l) = -l + 3. Let i(d) = 4 - 8 + 3 - 2 + 17*d + 4. Let q(z) = 37*z + 2. Let o(k) = 13*i(k) - 6*q(k). Determine 5*o(t) - 2*u(t). -3*t - 1 Let s(n) = -3*n**3 + n**2 + 1. Let t be s(-1). Suppose -2*b + 28 = 5*p, 0 = p + b + t - 13. Let x(l) = -2*l + 11. Let i(c) = -6*c + 32. Give p*i(y) - 11*x(y). -2*y + 7 Suppose -823 = -169*a + 22. Let w(s) = s**2 - 1. Let x(p) = -11*p**2 + 5*p + 2. Let l(h) = -2*w(h) - x(h). Let b(k) = 4*k**2 - 3*k. Calculate a*b(t) - 3*l(t). -7*t**2 Let k(d) = -54155*d**2 + 60*d - 30. Let b(l) = -7737*l**2 + 8*l - 4. Determine -15*b(o) + 2*k(o). 7745*o**2 Let v(w) = -27*w - 20. Let d(g) = 23*g + 17. Let n(k) = -7*d(k) - 6*v(k). Let j(a) = -3*a - 6. Give j(q) - n(q). -4*q - 7 Let o(s) = 2*s**3 - 5*s**2 - 27*s + 7. Let d(b) = -3*b**2 - 15*b + 4. Determine 10*d(x) - 6*o(x). -12*x**3 + 12*x - 2 Let i(b) = -4*b - 1. Let d(t) = 16*t + 11. Let z(s) = -15*s - 12. Let u(p) = -6*d(p) - 5*z(p). Suppose -101*v = 260 - 21 + 872. What is v*i(h) + 2*u(h)? 2*h - 1 Let m(g) = g + 707. Let p(c) = 5*c + 2827. What is 9*m(l) - 2*p(l)? -l + 709 Let g(m) = 44*m. Let a(d) be the first derivative of 43*d**2/2 + 3305. Determine 3*a(z) - 2*g(z). 41*z Let a(f) = 8*f + 1. Let i(b) = 4*b - 10. Let j be i(3). Let w be 3 + (-5 - -4 - -16). Let p(q) = -q. Calculate j*a(g) + w*p(g). -2*g + 2 Let t(z) = -z**3 - z**2 - z + 1. Let q(v) be the third derivative of v**6/10 + 3*v**5/20 + 3*v**4/8 - 3*v**3/2 - 560*v**2. What is -2*q(r) - 18*t(r)? -6*r**3 Let v(w) =
{ "pile_set_name": "DM Mathematics" }
uppose -12*t = -2*t + 1530. Let j = 213 + t. What is the lowest common multiple of 5 and j? 60 Suppose 0 = -w + 5*l + 7, -4*l - 3 - 5 = -w. Suppose 0 = -3*r + 9, 8*j - 445 = 3*j + 5*r. What is the lowest common multiple of j and w? 276 Let t = -21234 - -21265. What is the lowest common multiple of t and 1078? 33418 Let i(f) = -9*f + 16. Let w be i(2). Find the common denominator of -53/42 and (w/(-7))/(24/(-690)). 42 Let s be ((2/(-3))/2)/(60/180). What is the common denominator of (s/(-4))/(-4*(-3)/(-396)) and -7/29? 116 Let j(i) = -i**3 + 34*i**2 - 37*i + 16. Let k be j(25). Let d = k - 37651/8. What is the common denominator of d and (2/(-3))/((-5)/3)? 40 Suppose 0 = 24*l - 222 - 1650. Calculate the smallest common multiple of 87 and l. 2262 Find the common denominator of 109/210 and (2/(-15))/((-6)/1611)*(-4)/(-24). 210 Suppose -2*a - 3*a + 25 = 0. Suppose 4*p - 54 = 26. Suppose 4*w - 124 = a*n, 3*n - p = -2*n. Calculate the smallest common multiple of 20 and w. 180 Suppose 28*i - 27*i - 76 = 5*l, l = -20*i + 2227. Calculate the least common multiple of i and 282. 10434 Let u = 67851/83 + -817. Let w = 28067/5262 - 1/1754. Calculate the common denominator of u and w. 249 Suppose 6*x - 985 + 48 = 143. Calculate the smallest common multiple of x and 20. 180 Let z = 34818 - 34814. Let u(h) = h**3 + 6*h**2 - 2*h + 5. Let l be u(-5). Suppose l = t + 16. What is the smallest common multiple of t and z? 24 Suppose -55*o = -59*o - 156. Let u = 151/4 + o. Find the common denominator of u and 67/153. 612 Let q = 7297/2 - 3515. Let h = q - 1435/11. Let p = -7227 - -274663/38. What is the common denominator of h and p? 418 Calculate the common denominator of 1/(17/(7514/(-765))) and -23/390. 1170 Let k(s) = 3*s**3 - 7*s**2 - 12*s + 12. Let a be k(-9). Let g = -36759/14 - a. Find the common denominator of g and -19/10. 70 Let o be (-4)/(-14) + 12/7. Let y = -98101 - -3237292/33. Calculate the common denominator of y and o/5 - (-317)/(-30). 66 Suppose 0 = -u - 2*y + 21, -3*y + 8 = -7. Let b = 29 - u. Let p = -759 - -793. Calculate the lowest common multiple of p and b. 306 Suppose 107*a - 26269 = -17962 + 52683. Calculate the smallest common multiple of 3306 and a. 16530 Let j = 4049/4 - 36185/36. Calculate the common denominator of ((-267)/6)/((-165)/4) - (-16676)/20845 and j. 99 Let t = 18493/2630 + 18/263. Suppose -76 = 2*j - 3*p - p, -5*j + 5*p = 180. Calculate the common denominator of (-104)/9 - j/153 and t. 30 Suppose 0 = c + 7 - 10. Suppose 0 = -c*y + 5*t + 85, 87 = 3*y + 8*t - 11*t. What is the smallest common multiple of 6 and y? 30 Suppose 5*p = -2*c + 40 + 926, -c = -4*p - 483. Calculate the least common multiple of c and 2436. 56028 Suppose 9*c = -2*c + 660. What is the common denominator of (-8)/c + (-413)/84 and -73/8? 40 Let i = 12 + 28. Suppose -w + 39 = 3*a, -9*w + 10*w + 5*a - 35 = 0. What is the lowest common multiple of i and w? 360 Let o = -9 - -9. Suppose o*y - 5*y = -5*l - 55, -2*y + 40 = 4*l. Let t(q) = -2*q**2 + 39*q - 173. What is the least common multiple of t(7) and y? 14 Let t(f) = -f**2 - 5*f + 8. Let b = 36 + -42. Let z be t(b). Suppose -5*a + 12 = -2*p, z*a - 24 = -4*p - 0. Calculate the least common multiple of a and 7. 28 Let c(h) = -h**3 - 19*h**2 + 181*h - 10. What is the lowest common multiple of 16 and c(-26)? 16 Let p(w) = 8*w + 1. Let u be p(1). Suppose -9*v - 50 = 5*a - 10*v, -3*v = 3*a + 12. Find the common denominator of 1/u*a/6 and -25/16. 48 Find the common denominator of -115/96 and (-83)/32 + ((-5)/8 - -1). 96 Let d(j) = -j**3 + 6*j**2 + 8*j - 3. Let u be d(7). Let v = u - -8. What is the lowest common multiple of v and (-435)/(-58)*(-8)/(-3)? 60 What is the common denominator of (-15 + (-16523)/(-1107))*((-453)/80 - 0) and -91/135? 1080 Suppose -4*o = -102 - 206. Suppose 21 = y + o. What is the smallest common multiple of (y/(-70))/((-2)/(-55)) and 22? 22 Suppose 0 = t - 2*t + 2. Suppose 4*z - 86 = -14. Calculate the smallest common multiple of z and 22 - (5 - (t - 1)). 18 Suppose -2*m = 2*t - 1880, -579*m + 575*m - 2855 = -3*t. Calculate the least common multiple of t and 1050. 9450 Suppose -18*w = -6*w + 101 - 317. Calculate the least common multiple of 18800 and w. 169200 Let v = -83295/179284 - -2/6403. What is the common denominator of v and (-686)/60 - (-4)/(-6)? 140 Let l(n) = -n**2 + 13*n - 23. Let s be l(11). Calculate the smallest common multiple of (-3 - -21) + -1 - (-2 - s) and 170. 1530 Suppose 9*q - 7*q - 59 = w, 85 = 3*q - w. Let c = -13 - -18. Calculate the least common multiple of 2*c*2 - -2 and q. 286 What is the lowest common multiple of (-15243)/(-9) + (-110)/30 and 676? 3380 Suppose -2*c - i - 965 = 4*i, -4*i = -c - 515. Find the common denominator of (2 - c/(-20)) + 0 and -81/44. 44 Let k = -2186169573 - -144283002563/66. Let n = -63475 - k. What is the common denominator of n and -31/10? 330 Suppose 118*b - 117*b - 133 = -6*a, a - b = 21. What is the lowest common multiple of a and 286? 286 Let n be (3 - 14/6) + 46/3. Suppose -8 = -3*f - f, -3*f + n = 5*i. Calculate the common denominator of 3/52 and (31/(-6))/(6/i). 468 Suppose 28*v = -5*t + 30*v + 20, 5*t + v = 35. What is the common denominator of (208/504)/(t/(-27)*-12) and -141/70? 420 Suppose -5*n + 35*w = 32*w - 70, -n = w - 6. Suppose 0 = 2*f - 2*v - 38, 4*f - 101 = -f - v. What is the lowest common multiple of n and f? 220 Let n(q) = -115*q - 2380. What is the smallest common multiple of n(-24) and 460? 8740 Let d = 37 + -1. Let a(x) = 15*x - 1. Let i be a(2). Suppose 5*t = -i + 89. What is the lowest common multiple of d and t? 36 What is the common denominator of -111/20 and (6/(-76))/((-2)/(-9) + 24600/(-52380))? 1520 Let m = 339/2 - 157. Calculate the common denominator of 2/(-39) - 222387/(-39468) and m. 12 Find the common denominator of (-2)/260*4*(-2414)/(-136) and 8/9. 1170 Let i be 12/(((-16)/(-84))/2). Let l = -1279/10 + i. Calculate the common denominator of -13/15 and l. 30 Let s = 6/775 + -60107/55800. Find the common denominator of (476/(-216) - -3) + 1 and s. 216 Suppose 0 = 10*m - 11*m - 233. Let s = 245 + m. Calculate the least common multiple of 10 and s. 60 Let m(n) = -65*n - 1992. What is the smallest common multiple of 18 and m(-34)? 1962 Let n = -27455628911/43207 + 635444. Let b = -2808251/2938076 + n. What is the common denominator of 175/77*11 + 99/9 and b? 68 Let y = 31 - 11. Let g be (-1 + -1)*(-80)/y. Find the common denominator of g/(-36) + 1167/(-702) and -40/11. 286 Let r be ((-12)/(-10))/((-1)/(-5)). Let l(w) = -r + w + 7 - 1. Calculate the smallest common multiple of l(12) and 24. 24 Let u = -99604121/59521 - 3/8503. Let o = 1053539/630 + u. Calculate the common denominator of o and 16/63. 630 Suppose 1111 = 24*i + 146 - 1531. Calculate the least common multiple of i and 65. 520 Suppose 9*n - 2*n - 35 = 0. Let l = n - 11. Find the common denominator of (-188)/102*(l + 105/20) and -47/12. 204 Suppose 0 = 94*l - 138*l + 880. What is the lowest common multiple of l and 2165? 8660 Let l = -89639/5 + 17937. What is the common denominator of 63/7850 and l? 7850 Let w = -18360/47 - -18540357/47470. Calculate the common denominator of -23/1111 and w. 11110 Let n = -95221 - -135785233/1426. Calculate the common denominator of n and -44/4991. 9982 Suppose -5*f + 675 = -20*f. Calculate the lowest common multiple of -4 - (9/(f/(-20)) - 20) and 3. 12 Let v be (326*(-8)/(-12))/(14/21). What is the common denominator of (v/(-264) - 0)/(3/6) and 91/54? 594 Let a be (-22)/44 + (-58)/(-4). Suppose 0 = -a*b + 612 + 172. Suppose q = -7*q + b. What is the smallest common multiple of 4 and q? 28 Suppose 2*w = -76 + 214. Let k = 109 - w. What is the least common multiple of k and 45? 360 Let a = -101/7 + 3522/35. Let l = a + -1148/15. What is the common denominator of -19/42 and l? 42 Let a = 16523/132 + -1464/11. Find the common denominator of -1 + -2 - 3/22 and a. 132 Suppose -b = 4*i - 168, 351*b + 210 = 5*i + 356*b. Suppose -w + 25 = -5. What is the smallest common multiple of w and i? 210 Let h = -65 - -63. Let b be h*90782/(-40) - (-3 + 1). Let j = b + -4546. What is the common denominator of 59/2 and j? 10 Let z(u) = 2*u**2 - 18*u + 18. Let m be z(1). Suppose 4 = -0*r - m*r, 3*j - 5*r - 31 = 0. Calcula
{ "pile_set_name": "DM Mathematics" }
s 15 divide 1149? False Does 49 divide 13671? True Is 136 a multiple of 17? True Is 89641 a multiple of 232? False Is 89848 a multiple of 88? True Is 3 a factor of 42? True Is 2 a factor of 39? False Is 1936 a multiple of 15? False Is 4349 a multiple of 19? False Is 642 a multiple of 104? False Is 15 a factor of 946? False Is 585 a multiple of 39? True Does 25 divide 2130? False Is 381 a factor of 15311? False Is 147 a multiple of 49? True Is 1129 a multiple of 68? False Does 18 divide 11934? True Is 54 a factor of 2029? False Does 124 divide 14508? True Is 355 a multiple of 29? False Is 972 a multiple of 3? True Is 7 a factor of 924? True Does 49 divide 539? True Is 948 a multiple of 75? False Is 2753 a multiple of 17? False Is 14 a factor of 872? False Does 13 divide 3887? True Is 20 a factor of 7127? False Is 19478 a multiple of 89? False Is 274 a multiple of 35? False Does 14 divide 7266? True Is 29 even? False Is 1495 a multiple of 12? False Is 50406 a multiple of 204? False Does 10 divide 2030? True Does 29 divide 24413? False Is 3745 a multiple of 6? False Is 7 a factor of 245? True Is 280 a multiple of 10? True Is 20468 a multiple of 14? True Is 5426 a multiple of 99? False Is 34492 a multiple of 10? False Does 5 divide 21415? True Is 4086 a multiple of 35? False Does 48 divide 1536? True Is 546 a multiple of 13? True Is 2991 a multiple of 13? False Is 2352 a multiple of 12? True Does 2 divide 62? True Does 37 divide 407? True Is 10 a factor of 226? False Is 292 a multiple of 73? True Is 18 a factor of 450? True Is 250 a multiple of 25? True Is 6457 a multiple of 210? False Does 25 divide 4250? True Does 19 divide 9139? True Is 11 a factor of 798? False Does 85 divide 23035? True Is 24 a factor of 7896? True Does 20 divide 1360? True Does 9 divide 685? False Is 8587 a multiple of 35? False Does 16 divide 69000? False Is 11 a factor of 529? False Is 12328 a multiple of 228? False Is 3013 a multiple of 56? False Is 2483 a multiple of 23? False Is 645 a multiple of 15? True Is 4 a factor of 1155? False Is 11 a factor of 16247? True Does 85 divide 251? False Is 31 a factor of 309? False Is 82 a factor of 6806? True Is 12 a factor of 107525? False Is 11 a factor of 803? True Does 8 divide 6184? True Does 23 divide 736? True Is 10 a factor of 570? True Is 57 a factor of 2109? True Does 22 divide 7788? True Does 11 divide 52012? False Is 5958 a multiple of 98? False Is 17335 a multiple of 5? True Is 2199 a multiple of 184? False Does 13 divide 899? False Is 37 a factor of 11058? False Is 5 a factor of 13805? True Is 684 a multiple of 14? False Is 12 a factor of 4284? True Is 5 a factor of 68? False Does 24 divide 311? False Is 11 a factor of 12188? True Is 8550 a multiple of 50? True Is 7 a factor of 1435? True Is 41884 a multiple of 37? True Does 7 divide 105? True Does 9 divide 7406? False Is 1747 a multiple of 30? False Is 5 a factor of 1089? False Is 5 a factor of 132? False Is 31381 a multiple of 9? False Is 32 a factor of 4864? True Is 950 a multiple of 5? True Does 37 divide 58425? False Is 51 a factor of 590? False Is 18 a factor of 335? False Is 6613 a multiple of 16? False Is 526 a multiple of 66? False Does 43 divide 1231? False Is 4460 a multiple of 7? False Does 27 divide 2820? False Is 1518 a multiple of 66? True Does 35 divide 168? False Does 174 divide 18073? False Is 1451 a multiple of 46? False Is 4 a factor of 10268? True Does 6 divide 1848? True Is 1440 a multiple of 24? True Does 29 divide 464? True Does 125 divide 14625? True Is 29 a factor of 168258? True Is 16472 a multiple of 142? True Does 11 divide 2252? False Is 159 a factor of 31134? False Does 8 divide 72? True Is 27 a factor of 1755? True Does 42 divide 2425? False Does 8 divide 22624? True Is 3455 a multiple of 19? False Does 96 divide 158784? True Is 1603 a multiple of 7? True Is 4200 a multiple of 5? True Is 630 a multiple of 45? True Is 20550 a multiple of 49? False Does 29 divide 1363? True Is 15 a factor of 14190? True Is 11549 a multiple of 101? False Does 4 divide 13885? False Does 58 divide 13978? True Is 12 a factor of 132096? True Is 19 a factor of 570? True Is 4 a factor of 628? True Does 32 divide 256? True Is 42 a factor of 25581? False Is 20 a factor of 2161? False Does 34 divide 4647? False Is 1947 a multiple of 33? True Is 10 a factor of 35150? True Does 7 divide 5213? False Is 24206 a multiple of 38? True Is 90 a factor of 14493? False Is 107 a factor of 1978? False Is 12 a factor of 540? True Is 9 a factor of 288? True Does 10 divide 30450? True Is 1280 a multiple of 32? True Is 9 a factor of 11601? True Is 30 a factor of 547? False Is 737 a multiple of 11? True Is 14 a factor of 3024? True Does 4 divide 302? False Is 18906 a multiple of 147? False Is 22 a factor of 2200? True Is 16 a factor of 2091? False Does 6 divide 4721? False Is 18405 a multiple of 67? False Does 6 divide 357? False Does 16 divide 1328? True Is 83916 a multiple of 42? True Is 10 a factor of 2897? False Is 12 a factor of 569? False Is 20 a factor of 1220? True Is 630 a multiple of 63? True Does 22 divide 5502? False Is 16659 a multiple of 65? False Is 53 a factor of 5107? False Is 18 a factor of 342? True Does 17 divide 10329? False Is 11 a factor of 29572? False Is 31 a factor of 1488? True Is 45 a factor of 4555? False Is 106 a factor of 1288? False Is 28478 a multiple of 27? False Is 3570 a multiple of 42? True Is 67 a factor of 1072? True Is 43 a factor of 1355? False Is 5 a factor of 276? False Does 2 divide 111? False Is 4 a factor of 6661? False Is 440 a multiple of 34? False Is 5 a factor of 100? True Is 31 a factor of 12121? True Is 4868 a multiple of 30? False Does 26 divide 2217? False Is 1583 a multiple of 12? False Is 275 even? False Does 38 divide 874? True Is 13 a factor of 2298? False Is 17 a factor of 1734? True Is 6 a factor of 729? False Is 133 a factor of 3117? False Does 11 divide 251? False Is 63 a factor of 1367? False Does 26 divide 21138? True Is 6517 a multiple of 10? False Is 44 a multiple of 4? True Is 12 a factor of 161? False Is 7 a factor of 96? False Is 323 a multiple of 17? True Is 140 a factor of 2255? False Is 15939 a multiple of 69? True Does 21 divide 8175? False Is 7553 a multiple of 7? True Does 78 divide 6619? False Does 7 divide 14476? True Is 38 a factor of 6427? False Is 2 a factor of 13? False Is 12955 a multiple of 7? False Is 48 a factor of 336? True Is 6528 a multiple of 102? True Does 17 divide 15096? True Is 16 a factor of 192? True Is 491 a multiple of 11? False Is 28 a factor of 3388? True Is 140 a multiple of 19? False Is 53 a factor of 17855? False Is 31840 a multiple of 114? False Does 7 divide 259? True Is 98574 a multiple of 21? True Is 28416 a multiple of 16? True Is 783 a multiple of 27? True Is 5 a factor of 17? False Is 30 a factor of 119707? False Is 8 a factor of 392? True Is 2655 a multiple of 9? True Does 28 divide 784? True Is 1504 a multiple of 8? True Is 24 a factor of 6984? True Is 13 a factor of 3454? False Is 305 a multiple of 27? False Does 24 divide 1128? True Is 1628 a multiple of 20? False Does 4 divide 2467? False Is 48 a factor of 16752? True Is 1377 a multiple of 17? True Does 8 divide 41805? False Is 267 a factor of 42267? False Does 12 divide 348? True Is 26 a factor of 626? False Is 95 a multiple of 19? True Is 25 a factor of 2100? True Is 24 a factor of 6120? True Is 2532 a multiple of 12? True Is 23 a factor of 187? False Is 40 a factor of 4960? True Is 84 a factor of 66276? True Is 12 a factor of 936? True Is 9 a factor of 952? False Is 3 a factor of 11? False Is 25381 a multiple of 101? False Does 213 divide 28116? True Does 44 divide 2068? True Is 7 a factor of 773? False Is 13 a factor of 529? False Is 5 a factor of 2788? False Is 1147 a multiple of 9? False Does 22 divide 616? True Is 277 a factor of 68885? False Is 3573 a multiple of 61? False Does 25 divide 1175? True Is 29 a factor of 73234? False Does 67 divide 9648? True Is 32 a factor of 516? False Is 730 a multiple of 52? False Does 22 divide 26730? True Is 122 a factor of 3504? False Does 16 divide 53? False Is 224231 a multiple of 21? False Is 28 a factor of 1400? True Is 47 a factor of 3431? True Does 12 divide 12144? Tru
{ "pile_set_name": "DM Mathematics" }
1 - 76243/71134. Let z be 3 + -4 + (0 - 3). Calculate the common denominator of 11 + (1 - (-5)/z) and j. 28 Suppose 12 = -0*r + 6*r. Calculate the smallest common multiple of 4 + r/4*0 and 7. 28 Suppose -38584 = 84*m - 98*m. Calculate the least common multiple of 4 and m. 2756 Let x = -23 + 24. Let s = -9 + x. What is the common denominator of -10 and (-82)/(-3) - s/(-4)? 3 Suppose 0 = -4*c - r + 292, 4*r = 5*c - 234 - 110. Calculate the least common multiple of c and 72. 72 Suppose q = 4*q. Suppose -93*f + 3 = -92*f. Suppose -f*a + 120 = -q*a. What is the common denominator of -2/9 and a? 9 Suppose -2*i = -2*h + 304, 5*h + 3*i = h + 608. What is the common denominator of -93/10 and 42/4*h/216? 90 Suppose 0 = -4*d + 51 + 53. Let k = d - 16. Find the common denominator of (-4658)/255 - 4/k and 11/2. 6 Let i = 192079/22 + -8734. What is the common denominator of -51/25 and i? 550 Let m = 39206371/288799050 + 10/303999. Find the common denominator of -73/16 and m. 7600 Let v(s) = -7*s + 13. Let i(r) = 4*r - 6. Let h(f) = 7*i(f) + 3*v(f). What is the least common multiple of 22 and h(3)? 198 Suppose -4*s + 33 = -23. Let l = -231 - -243. Calculate the lowest common multiple of l and s. 84 Suppose -5*n + 2*i = -14, -i = 4*n - 4 - 2. Let s = n - 0. Suppose -5*c + s = -18. Calculate the least common multiple of c and 12. 12 Let y = 8/553 + 32243/26544. Calculate the common denominator of y and -79/120. 240 Suppose -5*z + 15 = -68*m + 70*m, m - 21 = 2*z. What is the lowest common multiple of 6 and m? 30 Let r(c) = c**3 - 22*c**2 - 21*c - 22. What is the least common multiple of 50 and r(23)? 600 Suppose -5*u - 3*u + 32 = 0. Calculate the least common multiple of 6 and u/(-18) + (-833)/(-63). 78 Let o(p) = -p + 13. Let v be o(14). Calculate the common denominator of v/(-2)*22/55 and -21/8. 40 Suppose 3*d + 0*d = -5*l + 15, -d = -3*l + 9. Suppose 15*x - 14*x - 18 = d. What is the smallest common multiple of 9 and x? 18 Let j be (6/5)/(8/47560). Let c be (-376)/36*j/8. Let q = c - -9293. Calculate the common denominator of q and -145/12. 12 Let q(x) = 5*x**2 + 3*x - 2. Let i be q(-3). Let k be 153/i*(-4)/2. Calculate the common denominator of 49/22 and (2727/48)/k + 4. 176 Find the common denominator of 6 + (-1)/(-3)*-11*-5 and 1659/70 + 2/(-10). 6 Let r(l) = l**3 + 7*l**2 + 5*l - 5. Let d be r(-5). Find the common denominator of 39/20 and 1/d*(920/45 + 2). 180 Suppose -4*u + 8 = 0, -27 = -4*g - 3*u - 5. Suppose 2*a = -5*c - 2 + 3, g*a + c = 11. Calculate the lowest common multiple of a and 11. 33 Let b be 68 + -1*16/(-4). Calculate the common denominator of (-2 - 0/(-2)) + 279/b and -9/68. 136 Find the common denominator of 129490/9560 + -13 - 2/4 and -125/12. 2868 Let y be (-105)/(-10)*(-2 - -14). Suppose 0 = 6*v - y - 114. What is the smallest common multiple of v and 6? 120 Let y(v) = -v**3 + 62*v**2 + 196*v + 45. Calculate the smallest common multiple of 40 and y(65). 440 Let w = 9/19 + 182/57. Let t = -44/9 + w. Find the common denominator of t and -125/18. 18 Let z = -136 + 217. What is the least common multiple of (-12)/(-9)*z/6 and 14? 126 Suppose -8*n - 196 + 1428 = 0. What is the lowest common multiple of 66 and n? 462 Let c be -3 + (-10173)/2310 + (-10)/(-35). Let z = c + -81/22. Calculate the common denominator of 206/(-35) - (-4)/14 and z. 5 Let l(j) = -j**3 - 3*j**2 + 4. Let q be l(-3). Suppose 7 = -2*k - 3*y + 6*y, 3*k - q*y = -8. Calculate the common denominator of k/(-8) - 60/(-22) and 15/8. 88 Let h = 669/133 + 32/19. Suppose -5*t = 25, -2*t = 2*y + 13 + 5. What is the common denominator of h and (y/8)/(1/(-47))? 14 Let v(r) = r**2 + 6*r + 9. Let w be v(-3). What is the common denominator of -119/12 and 2/(-3) + w + (-85)/(-240)? 48 Suppose -23 = 80*n - 103*n. Calculate the lowest common multiple of 226 and n. 226 Let k(a) = a + 13. Let v be k(-10). Suppose -l = 4*m - v*l - 76, 0 = 3*m + 2*l - 64. Calculate the smallest common multiple of 8 and m. 40 Let z = 2158291/76 + -28398. Calculate the common denominator of z and -103/36. 684 Let y be 2980*((-951)/(-27) - -2). Let l = 111203 - y. Let q = l - 557/2. Find the common denominator of q and 133/6. 18 Suppose 4*g + 13 = 93. Let k be (-5)/g - (-1)/(-38). Let s = 441/152 + k. What is the common denominator of s and 25/22? 88 Let x be -2*((-4 - -2) + 1). Suppose -x*c + 21 + 9 = 0. Calculate the smallest common multiple of 9 and c. 45 Calculate the smallest common multiple of 277 and 8/12 + (-325)/(-39). 2493 Let n = -1887 + 5030. Let x = n - 56543/18. What is the common denominator of x and -91/4? 36 Find the common denominator of -71/15 and 128/(-63) + (-2)/(-14). 45 Let a be 3 + (1 - (-236)/(-4)). Calculate the common denominator of -6*54/880 - (-10)/a and (-149)/2*(-4)/(-36). 180 Suppose 4*v - 10 - 14 = 0. Let j = 0 + 3. Suppose 5*n - j = 67. Calculate the smallest common multiple of v and n. 42 Suppose -28 = -4*y - 4. Let x = y + 5. What is the lowest common multiple of 5 and x? 55 Let g be (-68746)/(-608) - (1 + 2 + -1). Let y = g - 2178/19. Find the common denominator of -23/44 and y. 176 Let y = -121 - -237. Suppose -2*p + 124 = y. Calculate the smallest common multiple of p and 32. 32 Let g be (-20)/6*(-24)/4*2. Suppose -4*h = -g + 4. Let w(b) = 14*b**2. What is the least common multiple of h and w(1)? 126 Let j = 35 - 33. Suppose -j*t + 24 = t. What is the least common multiple of t and 10? 40 Let o(i) = -31*i + 14. Let c be 9/(-12) + (-71)/(-4). Suppose 0 = 2*v + 3*z + 2*z - 3, 0 = 5*v + 3*z - c. What is the smallest common multiple of v and o(-2)? 76 Find the common denominator of 121/20 and 39924/50760 + (-2 - (-16)/10). 2820 Let c(k) = 2*k - 6. Let y be c(5). Suppose y*r - 8 = g, 2 = 5*g + 4*r - 30. What is the lowest common multiple of 5 and g? 20 Suppose -8*o = -0*o. Let m = 7 + o. What is the common denominator of 27/18 + (-55)/m and -61/2? 14 Find the common denominator of 61/51 and (-54)/30 - -2 - 1401/(-120). 408 Let z be 6/(-10) + (-798)/(-30). Suppose -3*q - 3*s - 5 + z = 0, 4*s = q + 13. Calculate the smallest common multiple of q and -1 + -3*(-2 - -3)/(-1). 6 Calculate the lowest common multiple of 550 and (-26)/(-6) + (-4 - (-66)/18). 1100 Let g = 291 + -249. Calculate the smallest common multiple of 7 and g. 42 Suppose -z - 4976 = 3*z. What is the common denominator of 2/(-9) - z/(-72) and 35/3? 6 Suppose 0 = -5*i - 21 + 156. What is the least common multiple of i and 33? 297 Suppose 30 = 5*k - 20. Let t(w) = -3*w**2 + 6*w**2 + 3*w - 9 - 2*w**2 + 2. What is the least common multiple of t(-6) and k? 110 Let r = -2072718816 + 6255465322301/3018. Let i = 1/1006 + r. Calculate the common denominator of i and 12/5. 15 Suppose -4*l - 5*y + 20 = 0, -4*l - 4*y + 8 + 12 = 0. Suppose -l*c - 136 = -c + 4*g, -4*c - 2*g = 140. What is the common denominator of c/40 - (-2)/8 and 81/2? 20 Suppose 3*m = 3*a + 111, -a = -m - 2*m + 101. Suppose 4*y + 3*f = 28, 0 = -4*f + 3*f - 4. What is the least common multiple of m and y? 160 Let l be 0 + -3 + 250/6. Let c = 43/6 - l. Calculate the common denominator of c and ((-3)/(-36))/(42/9660). 6 Let a = 28 + -27. Suppose -2*q + 26 = -2*t, 5*t - 11 = 4*q - 64. Calculate the least common multiple of q and (-110)/(-6) - a/3. 36 Let t = -277 + 557. Calculate the common denominator of ((-282)/t + (-22)/(-55))*-2 and ((-2)/(-60))/((-2)/65). 84 Suppose -2*v - 3*v = -100. What is the lowest common multiple of v and (-9 - (-192)/18)*(9 + 3)? 20 Let n = 45 - 48. What is the lowest common multiple of n/(4/(-8) - (0 + 1)) and 8? 8 Let i(v) = 6*v**2 - 16*v + 16. What is the least common multiple of 160 and i(1)? 480 Suppose -6*y + 20 = -y - x, -3*y = -2*x - 19. Let f be 10/(-3)*(-36)/20. Find the common denominator of y/f*67/(-5) and 17/4. 20 Suppose 50*r = 48*r + 12. Suppose 10*q - 6*q - 15 = -3*j, 5*j = -q - 9. What is the smallest common multiple of q and r? 6 Let h = 7 - 5. Let b be -1*(-15)/6*h. Suppose -9*a - b = -14*a. Find the common denominator of -2/11 and a. 11 Suppose 5*n + 5*p + 0*p = 170, 4*n = 2*p + 142. Let f = n - 13. What is the lowest common multiple of 24 and f? 264 Suppose -3*w = -3*j + w - 10, -2*j + 4*w = 12. Suppose -193 - 29 = -13*g - 14. What is the smallest common multiple of g and j? 16 Suppose 5*i + 41 - 431 = 0. Let f
{ "pile_set_name": "DM Mathematics" }
d the third derivative of b(q) wrt q. 840*q**3 Let v(s) = 191*s**5 - 8*s**2 - 851*s + 4. Let g(d) = -191*d**5 + 6*d**2 + 850*d - 3. Let z(x) = -4*g(x) - 3*v(x). Find the second derivative of z(l) wrt l. 3820*l**3 Let p(g) be the third derivative of 0 - 7/2*g**3 + 5/24*g**4 + 0*g - 3*g**2. Differentiate p(y) wrt y. 5 Let v(b) = 42*b**2 - 11*b + 73. Let u(p) = 21*p**2 - 5*p + 36. Let i(w) = 7*u(w) - 3*v(w). What is the second derivative of i(t) wrt t? 42 Find the first derivative of -34*z**2 + 1703 - 140*z**2 + 7*z**2 - 1051 + 8*z**2 - 2*z wrt z. -318*z - 2 Let h(b) be the second derivative of b**5/20 + 6*b**4 + 41*b**3/6 - b - 26. What is the second derivative of h(w) wrt w? 6*w + 144 Let t(c) be the second derivative of -23*c**8/56 + 3*c**4/4 - 9*c**2/2 - 19*c. What is the third derivative of t(h) wrt h? -2760*h**3 Let g(c) be the first derivative of 4 - 11/3*c**3 + 0*c - 2/3*c**6 + 0*c**4 + 0*c**2 + 0*c**5. What is the third derivative of g(w) wrt w? -240*w**2 Let z(w) be the first derivative of -14*w**3/3 + 3*w**2/2 - 70*w + 8. Find the first derivative of z(d) wrt d. -28*d + 3 Suppose -4*v = -6*v + 12. Find the second derivative of -3*h**3 + h + v*h**3 + 2*h**3 wrt h. 30*h Let p(r) be the first derivative of 5*r**6 + 2*r**3/3 + r**2 - 43*r + 189. What is the second derivative of p(k) wrt k? 600*k**3 + 4 Let r(p) be the third derivative of 0*p**4 + 1/6*p**6 + 0*p**3 + 1/6*p**5 + 0*p + 0 + 5*p**2. Find the third derivative of r(n) wrt n. 120 Let p(k) be the second derivative of -2*k**5/5 + k**4/6 - k**3/6 + k**2/2 - 19*k + 1. What is the second derivative of p(a) wrt a? -48*a + 4 Find the third derivative of u + 235*u**3 - u - 298*u**3 - 19*u**2 - 9*u**2 wrt u. -378 Let t(b) = 68*b**3 - 8*b**2 + 2*b + 6. Let r(k) = -203*k**3 + 25*k**2 - 7*k - 19. Let i(d) = 2*r(d) + 7*t(d). What is the third derivative of i(l) wrt l? 420 Let y = 1 + 4. Find the third derivative of 0*x**5 + x**y - 2*x**5 - 6*x**2 + 0*x**5 wrt x. -60*x**2 Let l(z) be the first derivative of 2*z**3 - 6*z**2 + 7*z + 11. Let g(u) be the first derivative of l(u). Find the first derivative of g(s) wrt s. 12 Suppose t + 17*r - 15*r = 3, 0 = -3*t - 5*r + 9. Let b(j) = 5*j - 3. Let l be b(2). Find the second derivative of -t*u**2 + u**2 - 2*u - l*u**2 wrt u. -18 Let v be 544/2 + 0/(-3). Let b be v/44 - (-2)/(-11). What is the third derivative of -5*q**6 + 5*q**2 + 14*q**b - 16*q**2 wrt q? 1080*q**3 Let k(o) be the second derivative of 25/2*o**2 + 0*o**3 + 3*o + 5 + 0*o**4 + 21/10*o**5. What is the first derivative of k(c) wrt c? 126*c**2 Let w = 9 - 7. Suppose c = -w + 6. Differentiate 3*b**4 - 5*b**4 - b**c + 4 with respect to b. -12*b**3 Suppose -9*x - 54 = -0*x. Let z(p) = -10*p**3 + 6*p + 27. Let d(r) = -29*r**3 + 17*r + 81. Let t(c) = x*d(c) + 17*z(c). Differentiate t(w) with respect to w. 12*w**2 Suppose -6*n + 1251 = 117. Find the third derivative of -n*o + 93*o + 26*o**2 - 5*o**6 + 96*o wrt o. -600*o**3 Let u(d) be the third derivative of 11*d**7/30 + 107*d**5/30 + d**3/6 + 229*d**2. What is the third derivative of u(f) wrt f? 1848*f Let b(o) be the third derivative of 0*o**6 - 1/4*o**4 + 0*o**5 + 0*o + 0 + 8*o**2 + 0*o**7 + 3/112*o**8 + 0*o**3. Find the second derivative of b(d) wrt d. 180*d**3 Let t(o) = -1. Let w(y) = -3*y - 3*y - 7*y + 5*y - 15. Let z(j) = 4*t(j) - w(j). What is the derivative of z(n) wrt n? 8 Let a(j) = -8*j**3 + 9*j**2. Let g(x) = -x**3 + x**2. Suppose t - i - i = 6, i + 6 = 2*t. Let y(d) = t*g(d) + a(d). What is the third derivative of y(o) wrt o? -60 Find the second derivative of -3*c**2 - 3309*c - 107*c**3 + 3*c**2 + 3308*c wrt c. -642*c Let h(f) be the third derivative of f**8/840 - f**6/40 + 5*f**5/12 + 3*f**2. Let b(m) be the third derivative of h(m). Find the first derivative of b(u) wrt u. 48*u Suppose 15*a + 0*a = 120. Suppose 4*i + i - 20 = 0. What is the derivative of -22*d + a + 0*d**i + 22*d - 3*d**4 wrt d? -12*d**3 Let b = -34 - -27. Let k(y) = -2*y**2 - 2*y - 3. Let p(c) = -5*c**2 - 7*c - 9. Let g(w) = b*k(w) + 2*p(w). Differentiate g(t) with respect to t. 8*t Let a be (2/(-5))/((-1)/(-25)). Let h = a + 13. Differentiate 0*p**4 + p**4 - h - 3 + p**4 with respect to p. 8*p**3 Suppose 2*w - 4*t + 0*t - 18 = 0, -5*w + t + 27 = 0. Let f = -16 + 22. What is the third derivative of 2 - w*o**4 - 2*o**2 + f*o**2 - 2 wrt o? -120*o Suppose -19*m + 15*m = 2*s - 4, 2*m - 5*s + 10 = 0. Let r(k) be the second derivative of -k - 1/2*k**3 + m + 2*k**2. Find the first derivative of r(j) wrt j. -3 Let h(c) be the second derivative of c**4/2 - 5*c**3/3 - 17*c**2 + 105*c. What is the first derivative of h(a) wrt a? 12*a - 10 What is the second derivative of 60 + j + 0*j - 8*j - 2*j**5 - 548*j**2 - 29 - 8*j wrt j? -40*j**3 - 1096 Let k(l) be the first derivative of -179*l**6/3 - 144*l**3 + 819. Find the third derivative of k(t) wrt t. -21480*t**2 What is the second derivative of -b**4 - 56*b + 22*b**2 - 13*b**3 - 33*b**2 + 11*b**2 wrt b? -12*b**2 - 78*b Let w(p) be the second derivative of 3/5*p**5 + 0*p**4 - p + 0 + 0*p**2 + p**3. Find the second derivative of w(l) wrt l. 72*l Let p(a) = -135*a**2 - 14*a - 8. Let h(j) = 132*j**2 + 14*j + 7. Let c(r) = -6*h(r) - 5*p(r). Find the second derivative of c(w) wrt w. -234 Suppose -4*v + 3 = -v. Let z(y) = 2*y + 1. Let m be z(v). Differentiate -k + 6*k - m*k + 2 wrt k. 2 Let c(b) = b**2. Let k(l) = -7*l**3 + 7*l**2 + 3*l + 12. Let p(m) = 3*c(m) - k(m). Find the second derivative of p(n) wrt n. 42*n - 8 Let w(m) = 7*m**2 + 8*m**2 + 18 + 3*m**2 - 6. Let f(k) = k - 1. Let t(p) = 12*f(p) + w(p). What is the second derivative of t(b) wrt b? 36 Let r(u) = 7*u**3 - 27*u**2 - 246*u + 149. Let j(w) = 3*w**3 - 12*w**2 - 123*w + 75. Let b(z) = 9*j(z) - 4*r(z). What is the derivative of b(s) wrt s? -3*s**2 - 123 Let g(z) = -2*z**2 + 5*z - 7. Let m(c) = -c**2 - c. Let s(k) = -k**2 + 3*k + 9. Let f be s(5). Let h(w) = f*g(w) - 5*m(w). What is the derivative of h(o) wrt o? 14*o Let k = -6 - -9. Suppose 4*v = 16, -k*n - v = -4*v + 6. What is the first derivative of -2 + 0*g**3 + 3*g**3 - g**3 + n*g**3 wrt g? 12*g**2 Let z be 1*3/(-6) + (-47)/(-2). Find the second derivative of -28*f + 29*f + z*f**2 + 25*f wrt f. 46 Let k(p) = 877*p**3 + 14*p**2 + 9*p + 18. Let z(t) = 439*t**3 + 8*t**2 + 4*t + 8. Let f(o) = 4*k(o) - 9*z(o). What is the third derivative of f(w) wrt w? -2658 Suppose 0 = -0*o - 5*o + 110. Let l be (33/o)/((-1)/(-2)). Find the third derivative of 7*s**6 - l*s**3 + 8*s**3 - 5*s**3 - 8*s**2 wrt s. 840*s**3 What is the second derivative of 2411 - 2426 - 115*q**2 - 8*q - 29*q**2 wrt q? -288 Let s(t) = -6*t**3 - 117. Let o(g) = -3*g**3 - 58. Let c(f) = 5*o(f) - 3*s(f). Find the first derivative of c(w) wrt w. 9*w**2 Let f be 39/5 + (-5)/(-25). What is the derivative of -9*t - f + 2*t + 5*t wrt t? -2 Differentiate 2*v**2 + 1233 + 0*v**2 - 1226 + 40*v with respect to v. 4*v + 40 Let d(v) = 237*v**2 - 6*v + 708. Let s(c) = -476*c**2 + 11*c - 1417. Let b(t) = 11*d(t) + 6*s(t). Find the first derivative of b(h) wrt h. -498*h Let p(u) = 317*u**3 - 7*u**2 + 7*u - 158. Let a(y) = 316*y**3 - 6*y**2 + 6*y - 163. Let f(j) = 7*a(j) - 6*p(j). What is the first derivative of f(b) wrt b? 930*b**2 Let g(k) be the third derivative of -359*k**5/60 + 323*k**3/6 + 308*k**2. What is the derivative of g(r) wrt r? -718*r Let v(k) = k**2 - k. Suppose -b + 0 - 7 = 4*s, 3 = -b - 2*s. Let p(n) = -13*n**3 + 3*n. Let j(r) = b*p(r) + 3*v(r). Find the third derivative of j(x) wrt x. -78 What is the third derivative of -3 + 67*w**2 - 3 + 6 + 47*w**5 wrt w? 2820*w**2 Differentiate 0*r**4 - 40*r**4 + 39*r**4 - 42*r**4 - r**3 - 33 wrt r. -172*r**3 - 3*r**2 Find the second derivative of -3*v + 4*v**3 + 288 + 14*v**2 + 269 - 520 wrt v. 24*v + 28 Let o(k) be the third derivative of k**6/40 - 3*k**5/10 - k**4/24 - 11*k**3/6 + 3*k**2 + 7. Find the second derivative of o(q) wrt q. 18*q - 36 Let l(r) = -13*r**3 - 4*r - 45. Let f(h) = 261*h**3 + 81*h + 900. Let s(u) = -4*f(u) - 81*l(u). Differentiate s(c) wrt c. 27*c**2 What is the third derivative of 3*i**5 - 656*i**3 - 2*i**5 + 72*i**2 - 622*i**3 - 1 + 1438*i**3 wrt i? 60*i**2 + 960 Let z(r) be the first derivative of 15*r**2/2 - 239*r + 300. Differentiate z(l) wrt l. 15 Let c(s) be the third derivative of 32*s*
{ "pile_set_name": "DM Mathematics" }
and 41. 41 Let m(x) = 2*x + 2 - x + 2. Let u be m(-2). Let y be -1 - (3/3 - 20). What is the highest common divisor of u and y? 2 Suppose -o + 3*n - 16 = 0, -3*o + 2*o - 11 = -2*n. Let i = 7 - o. Calculate the greatest common divisor of 4 and i. 4 Let l(n) = 2*n**2 - 6*n + 2. Let s be l(4). What is the highest common factor of 20 and s? 10 Let f(w) = -w - 5. Let g be f(-7). Suppose 0*u - g*u + 6 = 0. Let c = u - -2. What is the highest common divisor of c and 55? 5 Let k be 9*((-40)/(-6))/2. Let x(s) = s**2 + 1 - 4*s**2 + 7*s**2 + 2 - s**3. Let m be x(3). Calculate the highest common factor of k and m. 6 Let l be 2 - (-1)/((-3)/(-102)). Calculate the greatest common factor of l and 24. 12 Let l be (0 - -1 - -6)*8. Let q(h) = -h**3 - 24*h**2 - 45*h - 14. Let t be q(-22). What is the greatest common factor of t and l? 8 Let i(g) = -4 - 2*g + 1 + 5*g. Let q be i(3). Suppose 0 = 2*t - q - 2. Calculate the greatest common divisor of 16 and t. 4 Let x be (-2)/(-4) - (-50)/(-4). Let l be (x/9)/(1/(-3)). Calculate the greatest common factor of l and 2. 2 Let r(g) = -2*g**3 - 24*g**2 - g - 9. Let v be r(-12). Let w be ((-1)/(-2))/(2/48). Calculate the greatest common divisor of w and v. 3 Let o be ((-1)/(-2))/(2/40). Let y be ((-30)/(-4))/((-33)/(-88)). What is the greatest common divisor of y and o? 10 Suppose -2*l - 15 = -3*l. Let x(t) = -t**2 + 5. Let q be x(0). Suppose -9 = -q*u + 141. What is the greatest common factor of u and l? 15 Let o be ((-9)/(-24))/((-5)/(-40)). Suppose -2*b + 62 = -5*h, -2*b - h = -o*b + 34. What is the greatest common factor of b and 9? 9 Suppose -5*a - 204 = -3*i, 2*i - 141 = 4*a + a. Let h(m) = 3*m - 1. Let y be h(5). Suppose -5*u + 7*u = y. Calculate the highest common factor of u and i. 7 Suppose -3*c + 2*r = 70, 3*c - 2*r = -r - 68. Let a = c + 15. Let y(l) = l**2 + 6*l + 7. Let u be y(a). What is the greatest common factor of u and 28? 14 Let p = -418 - -661. Let k = -133 + p. What is the highest common divisor of 10 and k? 10 Let o(q) = -q**3 - 3*q**2 + q + 4. Let l be o(-4). Calculate the greatest common divisor of l and 112. 16 Let d = 4 - 10. Let f be d/(-5)*(25 + 0). Calculate the greatest common factor of f and 6. 6 Let j(h) = h**2 - 3*h - 1. Let f be j(4). Suppose -3*q + r - 91 = 0, 4*q + 5*r = -q - 185. Let k = -23 - q. Calculate the highest common divisor of k and f. 3 Let b(v) = 3*v**3 - v**2 - 2*v + 1. Let i be b(-2). Let m = 1 + 33. Let k = i + m. Calculate the highest common divisor of k and 55. 11 Suppose 3*h - 45 - 249 = 0. Let a(w) = w**2 - 5*w + 8. Let b be 6/(-12) - 26/(-4). Let i be a(b). Calculate the greatest common divisor of h and i. 14 Let r be (11 - 5) + (-8)/(-2). Calculate the highest common factor of 10 and r. 10 Let f(u) = -u**2 - 8*u - 3. Let t be f(-5). Suppose 0*i = 3*i - 108. What is the highest common factor of i and t? 12 Suppose -2*v + 20 = -v. What is the highest common factor of 60 and v? 20 Suppose 2*r = r + 3. Suppose 2*w - 3 = 1. Suppose r*x - 29 = -w*t, -x + 4*t + 23 = -10. What is the greatest common divisor of 117 and x? 13 Let z be 1*(1 + (-2 - -1)). Suppose 5*t - 3 - 7 = z. Let l(v) = 5*v. Let h be l(4). Calculate the greatest common divisor of t and h. 2 Let n be 2/(-6)*(-2 + -1). Calculate the highest common divisor of n and 5. 1 Let o be 13*(-1 - 0)*-1. What is the greatest common factor of o and 104? 13 Let g = 118 + -79. Suppose -4*q = -3*q - 26. Calculate the highest common divisor of g and q. 13 Let o = -16 - -11. Let m be (-5)/(-2)*(-16)/o. What is the greatest common divisor of m and 2? 2 Let g = 145 - 257. Let y = g + 53. Let f = -31 - y. What is the greatest common divisor of f and 70? 14 Let y(k) = -2*k**3 + 2 - 5*k + 4*k**2 - 7 + 4*k + 3*k. Let h be y(-4). Suppose 0 = -5*q + 41 + h. Calculate the highest common factor of 4 and q. 4 Suppose 4*q - q + 111 = 5*g, 3*g = -2*q + 78. Suppose 2*r + 24 = -2*r. Let b = r + 12. What is the greatest common divisor of b and g? 6 Let l be (-1 + 50/14)*84. Calculate the greatest common factor of 24 and l. 24 Suppose 0 = -m + k - 2, 3*m - 2*k = 2 - 3. What is the greatest common factor of m and 3? 3 Let t = 18 + -5. Calculate the greatest common factor of t and 65. 13 Suppose 4*d + d - 55 = 0. Suppose -5*m - 2*l + 16 = 0, -m - 2*l + d = l. Suppose m*g - 33 - 21 = 0. What is the greatest common divisor of g and 3? 3 Let v = 80 - 50. Calculate the highest common factor of 20 and v. 10 Let m(d) be the first derivative of 3*d**4/4 - d**3 + d**2 - 2. Let q be m(2). Let w be 4/6*(216 - 0). What is the greatest common divisor of w and q? 16 Let u be 3 - ((-1 + 5)/4 - 3). Calculate the greatest common divisor of u and 20. 5 Let c = 13 - 7. Let s = 82 + c. Let j(x) = -x**3 + 2*x**2 + 2*x - 1. Let i be j(-2). Calculate the highest common divisor of s and i. 11 Let m(n) = -n**3 - 9*n**2 + 2*n. Let k be m(-10). What is the highest common factor of k and 32? 16 Let s = 46 - 33. Let f be (3/(-2))/((-10)/300). Let i = f + -32. Calculate the greatest common divisor of i and s. 13 Let s(c) = 9*c - 48. Let a be s(10). Calculate the highest common factor of a and 7. 7 Suppose 20 = -5*b, 0*u = -2*u - 3*b + 208. Suppose 5*v = -0 - u. Let h = -15 - v. What is the greatest common factor of h and 35? 7 Let p be ((-16)/(-5))/((-6)/(-30)). Let m(k) = -5*k + 2. Let c be m(-6). What is the greatest common divisor of c and p? 16 Suppose 0 = -a + 3*d + 64, -3*a + 2*d + 168 = 5*d. Let h be (6/18)/((-2)/(-174)). Calculate the highest common divisor of a and h. 29 Let v be (-6)/(-5)*15/6. Suppose 0 = -5*o + v*q + 139, 4*o - q + 0*q = 107. Suppose 7*j - 2*j - 195 = 0. What is the highest common factor of j and o? 13 Let c be ((-4)/(-6))/((-1)/3). Let x be 106/22 + c/(-11). Suppose -33 - 7 = -x*u. What is the highest common factor of 2 and u? 2 Let z = 1 + -50. Let k = -22 - z. Calculate the greatest common divisor of 18 and k. 9 Suppose 2*a - 20 = -2*a - 2*s, 0 = a + 5*s + 4. Let o = 6 - 8. Let i be 3/(-6)*o - -53. Calculate the highest common divisor of i and a. 6 Let l be (2 - -2)/(-2) - -2. Suppose l = -7*b + 3*b + 108. Suppose 0 = 3*k - 0*k - 27. What is the greatest common factor of k and b? 9 Suppose -4*q = -4*x + 12, 3*x + 3*q - 5 = 4*x. Calculate the greatest common divisor of x and 28. 7 Let j = 4 - -6. Let l(n) = -n + 2. Let g be l(-2). What is the highest common factor of g and j? 2 Let o(w) = -w**2 - 9*w - 5. Let t be o(-7). Let c be ((-7)/(-4))/((-2)/(-72)). Calculate the highest common divisor of c and t. 9 Let b = -10 - -26. Calculate the greatest common factor of 16 and b. 16 Let u(z) = -z**3 - 6*z**2 + 5*z - 10. Let d be u(-7). Let h(r) = 13*r - 4. Let a be h(d). Suppose 5*p - 3*p = a. What is the highest common divisor of 16 and p? 8 Let u = -11 - -18. Suppose 5 = f - u. Let v be -2 - (-5 + (4 - 7)). Calculate the greatest common divisor of v and f. 6 Suppose -3*s = -3*m - 36, -s - 4 = -3*s - 3*m. Let p = -502 - -503. What is the greatest common factor of p and s? 1 Suppose -117 - 62 = -y. Let n = -123 + y. Calculate the greatest common factor of 14 and n. 14 Suppose -u + 3*u = 0. Suppose -y + 70 = 3*t, -5*y = -2*t - u*t + 58. What is the greatest common factor of t and 8? 8 Let s = -1 + 16. Calculate the highest common divisor of 15 and s. 15 Let n = 4 - -7. Calculate the greatest common divisor of 1 and n. 1 Let y be 0 + (-5)/1*-1. Suppose -y*r + 49 = -11. Let h(d) = 2*d - 7. Let o be h(5). What is the greatest common factor of o and r? 3 Let a = 26 + -17. Calculate the greatest common factor of 27 and a. 9 Let o(k) = k**3 - 10*k**2 + 2*k - 11. Let n = 25 + -15. Let d = n + 0. Let a be o(d). What is the greatest common divisor of a and 36? 9 Let z be (-12)/(-96) + 1245/24. Calculate the highest common divisor of z and 91. 13 Let k be (16/5)/((-6)/(-15)). Suppose -5*n + 3*n + k = 0. Calculate the greatest common factor of n and 20. 4 Suppose -5*n = -2*n. Let h = 3 + n. Suppose -39 = -2*i - d, 3*i - 7*i = 4*d - 72. Calculate the greatest common divisor of i and h. 3 Let y = 15 + -12. Calculate the highest common factor of 21 and y. 3 Let i(p) = 5*p**2 - 3*p + 6. Suppose -6*a = -a - 30. Let z be i(a). What is the highest common divisor of z and 21? 21 Suppose -5*b - 4 + 3 = d, 4*d - 12 = -4*b. Let l be 14/7*(33 + b). What is the highe
{ "pile_set_name": "DM Mathematics" }
-27*j = -30*j - 32*j + 437290. Is j a multiple of 35? False Let k(x) = 2*x + 2. Let u be k(8). Let j = -717 - -822. Suppose u*z - 21*z + j = 0. Does 5 divide z? True Let h be (6 - 3/3) + 718/2. Suppose 0 = -230*z + 237*z - h. Is 6 a factor of z? False Let h = -94 - -92. Is 50 a factor of h/(-6) - (5 - (-12344)/(-12))? False Let n(w) = -w**3 + 9*w**2 + 13*w - 23. Let r be n(10). Suppose 0 = -5*b + r*b - 174. Let f = b + -37. Is f a multiple of 50? True Let y(z) = 5*z**3 + 17*z**2 + z - 1. Let j(a) = 2*a**3 + 2*a**2. Let t(f) = -3*j(f) + y(f). Let q(g) = -5*g - 2. Let c be q(-2). Does 11 divide t(c)? False Let m(n) = -11*n**2 + 427*n + 20. Does 116 divide m(13)? True Suppose -2*u + 34545 = 3*h + 8854, 0 = -3*h + 2*u + 25699. Is 41 a factor of h? False Let p(i) = -45*i**2 + 11*i**2 - 7*i + 17*i**2 + 16*i**2 + 27. Is 8 a factor of p(0)? False Suppose 59*s - 259420 = 15*s - 65*s. Is s a multiple of 28? True Let k = -43 - -137. Let q = k - 78. Suppose q*y = 18*y - 64. Is 32 a factor of y? True Let h(s) = -2*s**3 + 19*s**2 + 51*s - 87. Does 5 divide h(-13)? True Let i = 784 + -368. Let w = i + -231. Suppose 2*b - 200 = -2*n - 0*n, 2*b = -5*n + w. Is b a multiple of 21? True Let k(g) = g**3 - 17*g**2 + 16*g + 88. Is k(17) a multiple of 6? True Let k = 17 - 14. Let v(a) = -3*a**k + 6*a**3 - 50*a**2 - a + 50*a**2. Is 22 a factor of v(2)? True Let h(u) be the first derivative of u**5/6 + u**4/24 - 2*u**3/3 - 9*u**2 + 16. Let c(p) be the second derivative of h(p). Is 26 a factor of c(3)? False Let s = 5508 - 5283. Is s a multiple of 25? True Suppose 5*y - 145 = -125. Suppose -y*v = 15 - 471. Does 11 divide v? False Let s(i) = -i**2 + i + 54. Let q(u) = u**2 - 4*u - 10. Let k be q(5). Let f be s(k). Suppose f = j - 2*x - 0, 0 = 2*j - x - 45. Does 11 divide j? True Let h = 10286 - 5786. Is 75 a factor of h? True Suppose -130*d - 178*d + 10759980 = 0. Is 27 a factor of d? False Let k be 4 + -1 - 0/(6 + 3). Suppose 3*m + 5*g = 491, -k*m + m + 325 = g. Is 31 a factor of m? False Let m = 6936 - -1056. Is 36 a factor of m? True Suppose 0 = -29*p + 27*p - 104. Does 39 divide ((-585)/10)/(6/p)? True Let a be (-1504)/(-329) + 0 + 8/(-14). Suppose 0 = 3*g - d - 33, -a*d = -5*g - 9*d + 75. Is g a multiple of 3? True Suppose 5*f = 4*u - 3712, -13*u + 12*u = 2*f - 928. Does 8 divide u? True Let c(y) = -12*y**3 + y**2 - 2*y + 2. Let i be c(1). Let w(d) = -d + 1. Let o(z) = -18*z - 15. Let x(p) = o(p) + 6*w(p). Does 15 divide x(i)? True Let h = 25690 - -7295. Is h a multiple of 9? True Does 3 divide (-3 - 621/(-1)) + 8? False Let l = 2181 - 2171. Is l a multiple of 3? False Let b = 310 + -534. Does 31 divide (-16)/12*(2 + b)? False Let b(p) = -p**2 + 5*p + 4. Let y be b(5). Suppose 25*g - 2*c + 28 = 21*g, -g = 5*c + 29. Let s = y - g. Does 3 divide s? False Suppose 0 = -7*x - 3 + 17. Suppose -16 + 6 = x*g, -5*j + 3*g = -640. Is 37 a factor of j? False Suppose j = 0, -3*o + 0*j + 171 = -3*j. Let m be 1492/28 - 44/154. Suppose m*i + 40 = o*i. Does 8 divide i? False Suppose 6 = 3*h, 15*c + h = 14*c + 2294. Is c a multiple of 21? False Let j = -134 + 138. Suppose -j*p = -417 + 137. Is p a multiple of 10? True Suppose 431313 = 20*p + 89*p. Does 10 divide p? False Let h(p) be the second derivative of -p**5/20 + 11*p**4/12 - 8*p**3/3 + 13*p**2/2 - 2*p. Suppose 1945*o - 1943*o - 14 = 0. Does 17 divide h(o)? False Let p = 12564 + -8753. Does 26 divide p? False Let g = 89005 + -45335. Is 10 a factor of g? True Suppose -8*k = 2*k + 14*k - 188904. Is k a multiple of 5? False Let g be -315 + (72/(-30) - 6/10). Let v = g - -498. Suppose -39*a + 33*a = -v. Does 4 divide a? False Let x(o) be the third derivative of 13*o**4/3 - 57*o**3/2 - 15*o**2. Is x(9) a multiple of 15? True Let p(w) be the second derivative of w**5/20 - w**4/2 + 3*w**2 + 8*w. Let c be p(6). Suppose c*f - 7*f + 102 = 4*s, 4*f = -2*s + 408. Is f a multiple of 17? True Let v be (-6)/(-18)*21 - 2. Is (116/(-10) + v)*-45 a multiple of 33? True Let w = 517 + -519. Is 15 a factor of 4/(-10) + (51194/(-55))/w? True Let k(i) = i**3 - 10*i**2 + 19*i + 10. Let d be k(7). Does 64 divide (-40)/(-12) + d - (-962)/3? True Suppose -3*u + 21 = -3*s, -u + 3*s + 19 - 4 = 0. Suppose p - 3*f - 7 = 0, -2*f - 9 = -3*p + u*f. Is p/1 + (-7)/((-7)/97) a multiple of 16? False Suppose -36 + 42 = 3*z. Is -6 - 6*-14*z a multiple of 18? True Let g(h) = -h**3 + h**2 - h. Let v(c) = -21*c**3 + c**2 + 3*c - 3. Let i(f) = 2*g(f) - v(f). Let p be (3/(-15) - (-116)/80)*24/15. Is 20 a factor of i(p)? False Let i(y) = 4*y**3 - 80*y**2 + 17*y + 24. Let v = 731 - 711. Is 14 a factor of i(v)? True Let j be (9/(-6))/(5/(-20)). Suppose 2*i = -3*h - 9, -j*h + i - 9 = -3*h. Does 2 divide h*4/24*-28? True Suppose 0 = -4*l - m + 153, -3*l - 2*l - 2*m = -195. Suppose -5*b - d = -7, b = 5*d - 3*d - 3. Is 8 a factor of l - (-1 - b) - -1? True Let a(s) = 25*s - 5. Let o be a(5). Suppose -3*h - o = -x, -2*h + 121 = -4*x + 601. Does 15 divide x? True Suppose -13*w + 43*w + 314987 = 881537. Is 15 a factor of w? True Suppose 0 = -3*u + f + 952 + 2013, -f + 2981 = 3*u. Does 14 divide u? False Suppose -k = 5*l - 785, 853 = k - 4*l + 50. Does 5 divide k? True Suppose 21*x = 51*x - 23*x - 101136. Is x a multiple of 28? True Let s = 2723 - 1483. Is s a multiple of 7? False Is 18 a factor of (-3891*9/(-108))/((-2)/(-16))? False Suppose -2*r = b - 531, -3*r + 541 = -r - b. Let q = 478 - r. Does 10 divide q? True Let p be (-6)/36*3*(18 + 0). Is 0 - -98 - (1 + (-8 - p)) a multiple of 48? True Let n be ((-4)/(-2) + 0)*-1 + -2. Let v be n - ((-2)/(-5) - 163/(-5)). Does 2 divide 4 + (3 - v) + -4? True Let i be 1911 + -2 + -4 + 12. Let z = -1192 + i. Is z a multiple of 25? True Suppose 0 = 5*b - 3*t - 0*t - 10, 2*b + 3*t = 4. Suppose 0 = -m + 3, -3*p - 3*m = b*m - 21. Let y = 11 + p. Is 12 a factor of y? False Let h(n) = 33*n**2 - 18*n + 67. Does 69 divide h(-15)? False Suppose -2*m - 30 = m + 3*y, -40 = 4*m + 3*y. Let x(t) = -13*t + 10. Let z be x(6). Is (-2)/m + z/(-10) a multiple of 2? False Suppose -m - 22 = 5*c, 2*c - 2 = -12. Suppose w + 1 = -3*d + 2, -2*w = -m*d - 2. Suppose d = -3*p + 11*p - 432. Does 7 divide p? False Let j = 28671 - 26315. Is 3 a factor of j? False Does 41 divide 2 + (-1059 + -1)/(-1) - 0/(-1630)? False Suppose 44*m = 4691 + 58141. Is 28 a factor of m? True Let v(t) = t**2 + 14*t. Let o be v(14). Does 28 divide (36/7)/(8/o)? True Let m be (-1995)/(-56) - (-12)/32. Suppose 0 = m*l - 38*l - 294. Let w = l + 261. Does 9 divide w? False Suppose -51338 - 34270 = -18*t. Is 116 a factor of t? True Let v(r) = -r**2 - r - 6. Let f be -12*((-16)/6 - -3). Let h be v(f). Is (-238)/h + (-8)/36 even? False Let q be (-84)/(-18) + 2/(-3). Let t(m) be the third derivative of m**4/8 + m**3/2 - 4*m**2. Is t(q) even? False Suppose 4*k + 0*l + 26 = l, -k + 1 = -4*l. Let g(v) = 13*v + 9. Let w(j) = -38*j - 26. Let t(o) = k*g(o) - 2*w(o). Is t(-4) a multiple of 12? False Suppose -5*w = 4*r - 85012, 2*w - 52004 = -2*r - 17998. Is 34 a factor of w? True Suppose -16*s + 21*s = 65. Let x(c) = 4*c + 27 + 22 - 5. Is x(s) a multiple of 16? True Suppose -201*x + 1865360 + 365338 = -1404990. Does 133 divide x? True Let l = 9 + -6. Suppose f - 3*h + 2 = l, 4*f = 4*h + 20. Is (7 - (4 - f))*12 a multiple of 24? True Let f be (7/(42/(-12)) + -147)*-3. Suppose -891 = 5*r + 444. Let d = f + r. Does 15 divide d? True Let k be 4/14 + (-148)/28 + 12. Suppose -5*y - k*c = -3*c - 2292, -2*c = -y + 464. Is y a multiple of 30? False Let n be ((-21)/9)/((1 + -8)/(-21)). Let q(f) = -4*f**3 - 5*f**2 + 23*f + 139. Does 18 divide q(n)? False Suppose d + 3*d - 2320 = -2*r, 4675 = 4*r + d. Suppose 10*x - 7*x - r = 0. Suppose s + 9*s = x. Does 9 divide s? False Let t(u) = -20*u**3 + u**2 - 5*u + 6. Is t(-3) a multiple of 15? True Let v(z) = 7*z**2 + 4*z - 1. Let x be (7/49 + 8/42)*9. Suppose m + x*i = 12, 2*m - 15 + 3 = -2*i. Is 15 a factor of v(m)? False Suppose 28*h - 5*u - 28366 = 24*h, -3*h + 5*u = -21277. Does 15 divide h? False Let n(w) = w**3 - 7*w**2 + 2*w + 16. Suppose 2*h - 34 = 5*y, 4*y = -2*h - 5 + 3. Is 6 a factor of n(h)? True Suppose -9 = -8*s + 31. Does 14 divide s - 5 - (888/(-4) - 2)? True Let w = 717 + -712. Suppose 3*u - 973 = 2*y, -2*u = w*y - 530 - 125. Is 5 a factor of u? True Let
{ "pile_set_name": "DM Mathematics" }
96*k + k**2 - 3. k**2 + 250*k - 3 Collect the terms in -1656*d**2 + 832*d**2 + 184*d**3 + 824*d**2. 184*d**3 Collect the terms in 542*o - 99313*o**3 - 542*o + 99315*o**3. 2*o**3 Collect the terms in -35*g**2 - 42*g**2 + 77*g**2 + 77*g**3. 77*g**3 Collect the terms in -1234996*a**2 + 2469990*a**2 - 1234990*a**2. 4*a**2 Collect the terms in -76*h - 68*h - 67*h - 59 + 213*h. 2*h - 59 Collect the terms in 23*i**2 - 8*i**2 + 112*i - 229*i + 117*i. 15*i**2 Collect the terms in 3 + 71*p**3 - 2*p - 62*p**3 - 228*p**3. -219*p**3 - 2*p + 3 Collect the terms in 231*w**3 + 224*w**3 + 231*w**3 - 683*w**3. 3*w**3 Collect the terms in -16159*f**3 + 32313*f**3 - 16159*f**3. -5*f**3 Collect the terms in -38*p - 49*p + 75*p - 41*p + 42*p. -11*p Collect the terms in -44*i - 37*i - 47*i - 44*i + 161*i. -11*i Collect the terms in -2*z + 125*z**2 - 503*z**2 + 126*z**2 + 122*z**2 + 116*z**2. -14*z**2 - 2*z Collect the terms in 1787 - 40*v**3 + 35*v**3 - 1787. -5*v**3 Collect the terms in -10*a - 61*a - 41*a - 60*a - 14*a. -186*a Collect the terms in -3*i**3 - 8856565 + 8856565. -3*i**3 Collect the terms in -27*g**3 + 12*g**2 + 130*g**3 + 258*g**3. 361*g**3 + 12*g**2 Collect the terms in 16*b + 997*b**3 - 10*b + 6*b - 12*b. 997*b**3 Collect the terms in 20*y - 6*y - 11*y + 457. 3*y + 457 Collect the terms in -50157*k**2 + 12544*k**2 + 12537*k**2 + 12529*k**2 + 12545*k**2. -2*k**2 Collect the terms in 1 - 1 + 9600*c**2 - 9627*c**2. -27*c**2 Collect the terms in 15*t - 5*t - 10*t - 372*t**2. -372*t**2 Collect the terms in -26*c**3 + 40*c**3 + 2*c - 30*c**3 - 2*c. -16*c**3 Collect the terms in -5*t + 50 + 8 - 116 + 58. -5*t Collect the terms in -641*z - 30 + 222*z + 221*z + 198*z - z**2. -z**2 - 30 Collect the terms in -17*c**3 + 11*c + 3 - 1 + 18*c**3. c**3 + 11*c + 2 Collect the terms in 2 + 132948*m + 1 - 3 - 132949*m + 0. -m Collect the terms in -3968*c + 1981*c + 1986*c. -c Collect the terms in 6 - 20 + 3 + 7 + 2 - 7*w. -7*w - 2 Collect the terms in -b**2 - 40*b - 1 + 68*b + 214*b - 1. -b**2 + 242*b - 2 Collect the terms in -292*s + 112*s + 102*s + 83*s. 5*s Collect the terms in 19811 + 3*j - 43*j**2 - 9923 - 9888 - 5*j + 4*j. -43*j**2 + 2*j Collect the terms in 17*s + 7*s + 185 - 6*s. 18*s + 185 Collect the terms in 210*x**3 + x - 93*x**3 - x - 95*x**3. 22*x**3 Collect the terms in 248 + 136*z**2 + 223*z**2 - 248. 359*z**2 Collect the terms in 10*a**3 - 2*a - 2 - 2442*a**2 - 5*a + 5*a. 10*a**3 - 2442*a**2 - 2*a - 2 Collect the terms in -5067*k + 5067*k - 84 + 84 + 2*k**2. 2*k**2 Collect the terms in -76 - 18 - 112*d**2 - 120*d**2 + 237*d**2. 5*d**2 - 94 Collect the terms in 1 + 11640*b - 23204*b + 11575*b - 1. 11*b Collect the terms in -11*i - 5*i - 11*i + 0*i + 1074. -27*i + 1074 Collect the terms in -5*b**2 - 4*b**2 + 2*b - 6*b**2 + 99. -15*b**2 + 2*b + 99 Collect the terms in -57*c**2 + 445968*c - 445968*c. -57*c**2 Collect the terms in 26*c - 66*c + 21*c + 19*c - 105*c**2. -105*c**2 Collect the terms in -84*j + 118*j**3 - 4 + 83*j + 4. 118*j**3 - j Collect the terms in 117151271 - 117151271 - 2*u. -2*u Collect the terms in -332*b**2 + 70 + 9 - 79. -332*b**2 Collect the terms in -43*b**3 - 509 + 36*b**3 + 509. -7*b**3 Collect the terms in 22 - 1003*y - 987*y + 1992*y. 2*y + 22 Collect the terms in 47075*a + 713*a**3 - 47075*a. 713*a**3 Collect the terms in 1223 + 755*d**2 - 1223. 755*d**2 Collect the terms in w**2 - 338136*w**3 - w**2 + 676265*w**3 - 338128*w**3. w**3 Collect the terms in -125*i**2 + 21*i + 32*i - 9*i**2 - 15*i**2. -149*i**2 + 53*i Collect the terms in -869*t**3 - 886*t**3 + 1803*t**3. 48*t**3 Collect the terms in 282 - 13 - 5*w + 12*w - 34. 7*w + 235 Collect the terms in -7574184*t**3 + 7574188*t**3 - t**2 - t**2 + 2*t**2. 4*t**3 Collect the terms in 2 - 124*u**2 + 321*u**2 - 4. 197*u**2 - 2 Collect the terms in 623*u - 1853*u - 1 + 0 + 615*u + 617*u. 2*u - 1 Collect the terms in 194*j**3 + 721*j**3 - 204*j**3. 711*j**3 Collect the terms in 8 - 5 + 3710*t - 3. 3710*t Collect the terms in -2 - 2590*a - 2648*a + 2. -5238*a Collect the terms in 35*u**2 - 12*u**2 + 17 + 2*u - 19. 23*u**2 + 2*u - 2 Collect the terms in 9*s + 2*s + 6*s - 12*s - 3*s - 32. 2*s - 32 Collect the terms in 12 - 10 - 2 + 8*f - 7*f. f Collect the terms in 441*f**2 - 217*f**2 - 248*f**2. -24*f**2 Collect the terms in 10*x**3 + 1 - x**3 + 211*x + 1. 9*x**3 + 211*x + 2 Collect the terms in 537*h**3 + 760*h**3 + 11*h - 11*h + 0*h. 1297*h**3 Collect the terms in 4016*a**3 + 2720*a**3 + 3785*a**3 + 5359*a**3. 15880*a**3 Collect the terms in -5 - 6*h + 7*h - 6 - 9 + 11. h - 9 Collect the terms in 1056*r - 1849*r + 796*r. 3*r Collect the terms in -49*f**2 - 2 + 96*f**2 - 47*f**2 + 189*f**3. 189*f**3 - 2 Collect the terms in -28*p**2 - 74*p**2 + 86*p**2 - 3 + 3. -16*p**2 Collect the terms in 96*n**2 - 98*n**2 - 918 + 913. -2*n**2 - 5 Collect the terms in 2*c + 233*c**3 + 3*c + 2*c. 233*c**3 + 7*c Collect the terms in 4447*x**3 - 4437*x**3 - 4 + 0 + 1. 10*x**3 - 3 Collect the terms in 54*j - 179*j + 59*j + 61*j. -5*j Collect the terms in 3 + 1 - 1 - 7*h**3 - 4865*h. -7*h**3 - 4865*h + 3 Collect the terms in 1303 - 2568 + 1265 + s**3. s**3 Collect the terms in -7*q**3 - 22891 - 22864 + 45755. -7*q**3 Collect the terms in -5*k - k - k + 8*k + 5*k**2 + 17*k**2. 22*k**2 + k Collect the terms in -2*m**3 - 17*m + 115802 - 115802. -2*m**3 - 17*m Collect the terms in -39 + 10*w - 44 - 33*w - 39*w + 82. -62*w - 1 Collect the terms in 3226 + 3229 + 243*x**2 - 6455. 243*x**2 Collect the terms in 13*g - 198 - 50*g + 16*g. -21*g - 198 Collect the terms in 2 + 752*m + 523*m + 781*m - 417*m. 1639*m + 2 Collect the terms in -417*q + 342*q + 73*q. -2*q Collect the terms in -26*j**2 + 24*j**2 + 3*j**2 + 22*j**2. 23*j**2 Collect the terms in -70*n**2 - 124*n**2 - 77*n**2 + 265*n**2. -6*n**2 Collect the terms in 6*p**2 + 1466*p + 543*p + 258*p. 6*p**2 + 2267*p Collect the terms in -333*s**3 + 165*s**3 - 409*s + 170*s**3. 2*s**3 - 409*s Collect the terms in -12*c**2 - 634 + 634 + 10*c**3. 10*c**3 - 12*c**2 Collect the terms in -2 - 1 + 1325*t + 3. 1325*t Collect the terms in -4*m**2 + 10 - 72 + 62. -4*m**2 Collect the terms in 25*o - 62*o + 5*o + 19*o + 17*o. 4*o Collect the terms in -1100*f + 6 - 21 + 9 + 6. -1100*f Collect the terms in -2608*i**2 + 1311*i**2 + 1363*i**2. 66*i**2 Collect the terms in 13358*j**2 - 13500*j**2 + 143*j**2. j**2 Collect the terms in 20*q**2 + 19*q**2 + 3*q**2 + 27. 42*q**2 + 27 Collect the terms in -15466*m**2 - 3*m**3 - 15474*m**2 - 15465*m**2 + 46405*m**2. -3*m**3 Collect the terms in 2*z + 6*z - 17 + 16. 8*z - 1 Collect the terms in 62*u + 48*u + 56*u - 151*u. 15*u Collect the terms in 2 - 2 + 6620*t**2. 6620*t**2 Collect the terms in -8*y**3 - 5*y**2 + 54*y + 5*y**2 + 0*y**2 + 2*y**3. -6*y**3 + 54*y Collect the terms in 2 + 73*m**2 - 2 - 170*m**2 + 77*m**2. -20*m**2 Collect the terms in -4*z**2 + 8899*z + 2*z**2 - 8898*z. -2*z**2 + z Collect the terms in -31723324*x + 31723324*x - 5*x**2. -5*x**2 Collect the terms in 11*o**3 + 1153*o - 1153*o. 11*o**3 Collect the terms in -62*c**2 - 68*c**2 - 149*c**2 - 65*c**2. -344*c**2 Collect the terms in -4772 + 2389 + 2383 + 55*z**3 + 33*z**3. 88*z**3 Collect the terms in 51595*a - 9 - 8 + 17. 51595*a Collect the terms in 3139*x - 66*x**2 + 72*x**2 - 1567*x + 3 - 1572*x. 6*x**2 + 3 Collect the terms in 7 - 18*l**2 - 178*l**2 - 5. -196*l**2 + 2 Collect the terms in -120 + 120 + 10166*q**3. 10166*q**3 Collect the terms in 73*y**2 + 2 + 64*y**2 + 68*y**2 - 142*y**2 + 18*y**2. 81*y**2 + 2 Collect the terms in 397*i**2 - 1124*i**2 + 329*i**2 + 399*i**2. i**2 Collect the terms in 107*y**2 - 48 + 52 - 4. 107*y**2 Collect the terms in -2 + 96*o**2 - 368*o**2 + 82*o**2. -190*o**2 - 2 Collect the terms in -70462*g**3 + 140885*g**3 - 70444*g**3. -21*g**3 Collect the terms in -115998*d - 73105*d - 31413*d + 29482*d. -191034*d Collect the terms in 33*l**3 - 7*l**2 + 3*l**2 - l**2. 33*l**3 - 5*l**2 Collect the terms in 212 + 31*b - 15*b - 13*b. 3*b + 212 Collect the terms in 0*v + 2*v + 700*v**2 - 686*v**2 - 2 - 2*v. 14*v**2 - 2 Collect the terms in -6630 + 6630 + 1657*z**3 + 0*z**2 + 0*z**2. 1657*z**3 Collect the terms in 3 - 1 + 784*d**2 + 1826*d**2 - 2. 2610*d**2 Collect the terms in -208*c + 560*c + 2942*c. 3294*c Collect the terms in
{ "pile_set_name": "DM Mathematics" }
. 3/1001 Two letters picked without replacement from ytutuuuuutyuy. What is prob of sequence uy? 7/52 Three letters picked without replacement from {m: 6, g: 1, l: 4, p: 3}. What is prob of sequence lpl? 3/182 Three letters picked without replacement from {o: 1, n: 2, e: 5, f: 1, w: 1}. What is prob of sequence fnw? 1/360 Three letters picked without replacement from wwaatapmqqq. What is prob of sequence qpq? 1/165 Two letters picked without replacement from rvrt. Give prob of sequence vt. 1/12 Two letters picked without replacement from {q: 9}. Give prob of sequence qq. 1 Calculate prob of sequence nb when two letters picked without replacement from unqwbungq. 1/36 Calculate prob of sequence crc when three letters picked without replacement from {r: 4, p: 4, c: 3}. 4/165 Two letters picked without replacement from eeessss. Give prob of sequence se. 2/7 Two letters picked without replacement from {g: 1, p: 1, h: 1, j: 3, y: 1}. What is prob of sequence jj? 1/7 Calculate prob of sequence lll when three letters picked without replacement from ccccclccll. 1/120 Three letters picked without replacement from {z: 10, r: 4, n: 2}. Give prob of sequence rrn. 1/140 Calculate prob of sequence fs when two letters picked without replacement from gssf. 1/6 What is prob of sequence xw when two letters picked without replacement from {k: 3, x: 1, q: 1, y: 3, w: 5, j: 1}? 5/182 Calculate prob of sequence iiji when four letters picked without replacement from {i: 17, j: 1}. 1/18 Four letters picked without replacement from {n: 3, k: 1, h: 2, t: 2, b: 3, g: 1}. What is prob of sequence tkgn? 1/1980 Calculate prob of sequence de when two letters picked without replacement from edlydpe. 2/21 Calculate prob of sequence jkvv when four letters picked without replacement from {k: 13, j: 3, v: 3}. 13/5168 Three letters picked without replacement from {i: 1, p: 4, w: 9, z: 2, l: 1}. What is prob of sequence ppz? 1/170 Calculate prob of sequence ll when two letters picked without replacement from {l: 2, w: 1}. 1/3 Calculate prob of sequence fcdf when four letters picked without replacement from {k: 2, f: 3, d: 2, c: 2}. 1/126 Calculate prob of sequence gf when two letters picked without replacement from {t: 1, n: 2, g: 1, c: 2, f: 2}. 1/28 Four letters picked without replacement from nziz. Give prob of sequence znzi. 1/12 Two letters picked without replacement from tqqtrkkktkqrk. Give prob of sequence rr. 1/78 Calculate prob of sequence gjgg when four letters picked without replacement from {e: 1, g: 1, p: 1, w: 1, j: 1}. 0 Calculate prob of sequence qdqd when four letters picked without replacement from {q: 2, d: 2}. 1/6 Calculate prob of sequence kh when two letters picked without replacement from kahkgkahkha. 6/55 Calculate prob of sequence oog when three letters picked without replacement from oog. 1/3 Three letters picked without replacement from {n: 3, c: 2}. What is prob of sequence cnn? 1/5 Calculate prob of sequence yy when two letters picked without replacement from {v: 1, s: 3, y: 4}. 3/14 Calculate prob of sequence gx when two letters picked without replacement from xgxj. 1/6 Four letters picked without replacement from {p: 5}. Give prob of sequence pppp. 1 What is prob of sequence qw when two letters picked without replacement from {h: 2, p: 1, w: 1, v: 1, m: 1, q: 2}? 1/28 Two letters picked without replacement from lddldlldlddlddlldll. Give prob of sequence ll. 5/19 Four letters picked without replacement from {o: 2, z: 1, h: 1, f: 1, a: 1, d: 2}. What is prob of sequence fooz? 1/840 What is prob of sequence opo when three letters picked without replacement from {o: 5, p: 3}? 5/28 Calculate prob of sequence zt when two letters picked without replacement from {t: 1, z: 3}. 1/4 Two letters picked without replacement from {o: 10, e: 4, q: 3, z: 3}. What is prob of sequence zq? 9/380 Three letters picked without replacement from nuxunnu. What is prob of sequence nxn? 1/35 Calculate prob of sequence nn when two letters picked without replacement from {n: 19, y: 1}. 9/10 Four letters picked without replacement from {x: 1, n: 4, c: 2, d: 1, p: 3}. Give prob of sequence cndc. 1/990 Two letters picked without replacement from mddlttlcldlmtlm. Give prob of sequence ct. 1/70 What is prob of sequence vcr when three letters picked without replacement from {c: 4, r: 3, f: 1, v: 3}? 2/55 Three letters picked without replacement from zvxlr. What is prob of sequence xzr? 1/60 Calculate prob of sequence apf when three letters picked without replacement from {f: 1, a: 1, p: 1}. 1/6 Calculate prob of sequence bh when two letters picked without replacement from bxghggggghggxghg. 1/80 Two letters picked without replacement from {p: 2, l: 3, q: 1, m: 4, r: 1, j: 4}. Give prob of sequence ml. 2/35 Four letters picked without replacement from eberrfeeefbf. Give prob of sequence eebf. 1/99 Three letters picked without replacement from qveqpvgeiqe. Give prob of sequence epv. 1/165 What is prob of sequence llw when three letters picked without replacement from {l: 3, w: 1}? 1/4 Four letters picked without replacement from {w: 2, n: 1, y: 2, g: 1}. Give prob of sequence wwyw. 0 Three letters picked without replacement from {i: 11, x: 1, b: 1, e: 4, n: 1}. What is prob of sequence nbx? 1/4896 What is prob of sequence zfcf when four letters picked without replacement from {f: 2, x: 6, c: 1, z: 5, l: 2}? 1/4368 Four letters picked without replacement from xzvzexxxvxxz. What is prob of sequence vzxe? 1/330 Three letters picked without replacement from {m: 5, i: 15}. Give prob of sequence mmi. 5/114 Calculate prob of sequence dqq when three letters picked without replacement from qdqqqqdqddqd. 7/44 Three letters picked without replacement from sbsssbsbbbsbb. What is prob of sequence sss? 10/143 Three letters picked without replacement from {j: 1, q: 2, s: 3, z: 1, g: 3}. Give prob of sequence qsj. 1/120 What is prob of sequence rd when two letters picked without replacement from qcyyydrdy? 1/36 Three letters picked without replacement from cnkznnzknknzkxn. What is prob of sequence znc? 3/455 What is prob of sequence zzyy when four letters picked without replacement from {z: 5, y: 4, w: 6}? 2/273 Three letters picked without replacement from {k: 1, n: 3}. Give prob of sequence nnk. 1/4 Calculate prob of sequence juj when three letters picked without replacement from {u: 11, h: 1, j: 2}. 11/1092 Four letters picked without replacement from {f: 3, u: 2, i: 4, m: 1}. What is prob of sequence uuii? 1/210 What is prob of sequence qdl when three letters picked without replacement from xlyddqq? 2/105 What is prob of sequence dj when two letters picked without replacement from iibijds? 1/42 Four letters picked without replacement from koyyoykkoooowkyk. What is prob of sequence yowy? 3/1820 Four letters picked without replacement from yyuyuyyuuyyyoyouu. Give prob of sequence uouy. 9/952 Three letters picked without replacement from fnylhhfffohfoo. What is prob of sequence fyh? 5/728 Calculate prob of sequence vvm when three letters picked without replacement from {m: 1, v: 2}. 1/3 Calculate prob of sequence ug when two letters picked without replacement from uugggggguggggggg. 13/80 Two letters picked without replacement from lijyo. What is prob of sequence oy? 1/20 What is prob of sequence fa when two letters picked without replacement from affa? 1/3 What is prob of sequence uxu when three letters picked without replacement from {u: 11, x: 3}? 55/364 Three letters picked without replacement from {f: 7, l: 3}. Give prob of sequence lfl. 7/120 Two letters picked without replacement from cccdrdcdcsddcscccd. What is prob of sequence rd? 1/51 Calculate prob of sequence oq when two letters picked without replacement from {e: 2, q: 2, h: 1, r: 2, o: 1, i: 5}. 1/78 Four letters picked without replacement from ezzrzez. What is prob of sequence zzez? 2/35 Two letters picked without replacement from tsftttsisttfri. Give prob of sequence ir. 1/91 Two letters picked without replacement from {z: 4, y: 7, h: 2}. What is prob of sequence zy? 7/39 Three letters picked without replacement from {i: 1, t: 3, w: 1, q: 6, o: 2}. Give prob of sequence qiq. 5/286 Two letters picked without replacement from {x: 1, p:
{ "pile_set_name": "DM Mathematics" }
*-2)/sqrt(11))**2. -48*sqrt(19) + 2740 Simplify -5*((sqrt(7) + -2 - sqrt(7)) + 1)**2 + 2. -3 Simplify (sqrt(22)/(sqrt(44)/sqrt(4)) + sqrt(2))*5. 10*sqrt(2) Simplify 4*(sqrt(242) - (sqrt(242) + 1)). -4 Simplify -1*sqrt(85)/sqrt(20). -sqrt(17)/2 Simplify 2 + (-4*2*(sqrt(156)/sqrt(3) - sqrt(52)))**2. 2 Simplify ((sqrt(33) + sqrt(33)*-2*5)/sqrt(3) + sqrt(33)/(sqrt(3) - (sqrt(192) + -1*sqrt(192) - sqrt(192))))**2. 70400/81 Simplify (sqrt(19) - (sqrt(19) - (1 + sqrt(19)))*4)**2 + (sqrt(931) + -1)**2. -6*sqrt(19) + 967 Simplify 2*(5*2*sqrt(19))**2 + 5. 3805 Simplify (-2 + (sqrt(48))**2 + sqrt(3))*-4. -184 - 4*sqrt(3) Simplify 2*sqrt(180) + -1. -1 + 12*sqrt(5) Simplify (-1 + sqrt(12) + 0)**2. -4*sqrt(3) + 13 Simplify (((sqrt(135)/sqrt(5) + sqrt(27) - sqrt(27))/sqrt(9))**2 - 6*sqrt(108))*-3. -9 + 108*sqrt(3) Simplify sqrt(18)/(sqrt(384)*-2). -sqrt(3)/16 Simplify 6*sqrt(153)*2. 36*sqrt(17) Simplify ((2 + sqrt(1008))*-4)**2. 768*sqrt(7) + 16192 Simplify sqrt(50)/(2*sqrt(160)). sqrt(5)/8 Simplify -3*(sqrt(153)*-4 + 3). -9 + 36*sqrt(17) Simplify ((sqrt(495)*2)/sqrt(11))/(sqrt(441)*1 - sqrt(9)). sqrt(5)/3 Simplify -5*((sqrt(15)/sqrt(48))**2 + (5 + sqrt(5)*-1 - sqrt(5))) + 0. -425/16 + 10*sqrt(5) Simplify (2 + sqrt(22)/sqrt(2))**2 + 5. 4*sqrt(11) + 20 Simplify sqrt(112)/sqrt(4)*-5. -10*sqrt(7) Simplify -4*6*sqrt(13)*1. -24*sqrt(13) Simplify sqrt(76)/sqrt(36)*6. 2*sqrt(19) Simplify ((sqrt(110) - (sqrt(110) + sqrt(110) + sqrt(110) + sqrt(110) + sqrt(110)*-2) - sqrt(110))/sqrt(10) + -3 + ((sqrt(66)/sqrt(6))**2 - sqrt(11)))*-3. -24 + 9*sqrt(11) Simplify (2*sqrt(176)*-2 + sqrt(176) + 2)**2. -48*sqrt(11) + 1588 Simplify (-1*1*(sqrt(147) - (sqrt(147) + sqrt(147)*-2)) + 3)**2. -84*sqrt(3) + 597 Simplify 4*(sqrt(612) + -3*sqrt(612)*-2)**2. 119952 Simplify -1 + (sqrt(99) + (sqrt(99) - (sqrt(99) - (1 + sqrt(99) + -1 + sqrt(99))) - sqrt(99)))**2. 395 Simplify (-2*sqrt(19)*-3 + 2)**2 + ((sqrt(19) - (sqrt(931) + 1 + sqrt(931) - sqrt(931)))**2 - sqrt(19)) + sqrt(19) + sqrt(475) + 0. 41*sqrt(19) + 1373 Simplify -3*(5 + -2*sqrt(2448) + sqrt(2448) + sqrt(2448)*2*-2). -15 + 180*sqrt(17) Simplify (sqrt(315)/sqrt(5) - sqrt(63))/sqrt(9) - (sqrt(7) + ((sqrt(315)/sqrt(5))/sqrt(9))**2). -7 - sqrt(7) Simplify sqrt(52)/sqrt(576). sqrt(13)/12 Simplify 2*sqrt(19)*1 + 5 + 1 + -5. 1 + 2*sqrt(19) Simplify 4 + (sqrt(5) - (sqrt(5) + (4*sqrt(720))**2)). -11516 Simplify -1*((sqrt(171) - (sqrt(171) - sqrt(171)*2) - sqrt(171)) + sqrt(171))/sqrt(9). -2*sqrt(19) Simplify sqrt(13) - (sqrt(1573) - (sqrt(1573) + -1))**2 - ((sqrt(13) - sqrt(208)) + 0). -1 + 4*sqrt(13) Simplify (sqrt(55)/((sqrt(99)*-1 - sqrt(99))/sqrt(9)))**2. 5/4 Simplify sqrt(832)*1*3. 24*sqrt(13) Simplify (3*sqrt(1920))/sqrt(10). 24*sqrt(3) Simplify (sqrt(637) - (-1*2*sqrt(637) - sqrt(637))) + sqrt(637). 35*sqrt(13) Simplify (sqrt(1440)/sqrt(2) - sqrt(20)) + sqrt(20) + -5. -5 + 12*sqrt(5) Simplify (sqrt(9)/sqrt(12) + sqrt(48) + 5)**2 + 0. 45*sqrt(3) + 343/4 Simplify -3*sqrt(33)/(-1*sqrt(3)). 3*sqrt(11) Simplify (sqrt(98)*-2*1)**2*6. 2352 Simplify 0 + sqrt(3) + (sqrt(3) + sqrt(9)/sqrt(3))**2 + sqrt(18)/(sqrt(12)/sqrt(2)). 2*sqrt(3) + 12 Simplify -1*(sqrt(11) + ((2*sqrt(11) + sqrt(11))**2 - sqrt(11))) + 1 + sqrt(99). -98 + 3*sqrt(11) Simplify (sqrt(133) - (-3*(sqrt(133)*-1 - sqrt(133)) + sqrt(133)))/(sqrt(28)/sqrt(4)*5). -6*sqrt(19)/5 Simplify (sqrt(1728)/sqrt(8))/(sqrt(3) + (sqrt(33)*-3)/sqrt(11) + sqrt(3)). -6*sqrt(2) Simplify sqrt(78)/((sqrt(36)/sqrt(2))/sqrt(3) + sqrt(6) + sqrt(6))*-2. -2*sqrt(13)/3 Simplify sqrt(27)/(sqrt(324) + sqrt(324)*3). sqrt(3)/24 Simplify sqrt(18)/(sqrt(27)/sqrt(3)) - sqrt(2) - (0 + sqrt(2))*-4. 4*sqrt(2) Simplify (sqrt(27)/sqrt(144) - (sqrt(192) + 0 - sqrt(192)))**2. 3/16 Simplify ((sqrt(108) - sqrt(108)*2) + 1)**2. -12*sqrt(3) + 109 Simplify ((-1*sqrt(144) - sqrt(144))/sqrt(9))/(sqrt(96)/(sqrt(48)/sqrt(4))). -2*sqrt(2) Simplify -5 + (sqrt(304) + 3)**2. 24*sqrt(19) + 308 Simplify (sqrt(12)/(sqrt(6) + sqrt(150) + sqrt(6) - sqrt(6)) + 5)*5. 5*sqrt(2)/6 + 25 Simplify sqrt(128)/sqrt(4) + sqrt(2) + -2. -2 + 5*sqrt(2) Simplify (-4*((sqrt(13) + 0 + sqrt(13))*-5 + sqrt(13) - sqrt(13)) + 0 + 0)**2. 20800 Simplify -3*sqrt(117)/sqrt(324). -sqrt(13)/2 Simplify sqrt(20)/sqrt(40) + (sqrt(162) + -2 + sqrt(2))**2. -79*sqrt(2)/2 + 204 Simplify (3 + (-3*sqrt(187))/sqrt(11))*2. -6*sqrt(17) + 6 Simplify (-1*sqrt(76)*-4)/(sqrt(12)/(sqrt(3)*3)). 12*sqrt(19) Simplify (sqrt(1100) + 3*sqrt(1100))*1. 40*sqrt(11) Simplify -3*(-2 + sqrt(363) + 1). -33*sqrt(3) + 3 Simplify -6*((sqrt(19) - (-2*sqrt(95))/sqrt(5)) + (sqrt(304) + sqrt(19) + 4 + sqrt(19))**2). -4200 - 306*sqrt(19) Simplify 5*(-3 + (sqrt(275) + -1 - sqrt(275)) + sqrt(275))**2. -200*sqrt(11) + 1455 Simplify (sqrt(65) - -6*1*sqrt(65) - sqrt(65))/sqrt(5). 6*sqrt(13) Simplify (0 + sqrt(34)/sqrt(2) + 1)**2. 2*sqrt(17) + 18 Simplify (-3 + -3*(sqrt(176) - (sqrt(176) - (sqrt(176) + 0) - sqrt(176))))**2. 144*sqrt(11) + 6345 Simplify 2*(sqrt(275) + 1). 2 + 10*sqrt(11) Simplify (2*sqrt(13) + 1)**2 - (-2 + sqrt(13) + -2). 3*sqrt(13) + 57 Simplify ((-4*1*sqrt(51))/sqrt(3))**2. 272 Simplify -6*sqrt(51)/sqrt(3) + sqrt(34)/(sqrt(10)/sqrt(5)). -5*sqrt(17) Simplify (sqrt(9) + (sqrt(180)/sqrt(5))/sqrt(4))/(1*sqrt(147)). 2*sqrt(3)/7 Simplify (sqrt(128) + 3*(sqrt(128) + 1))**2 + 5. 192*sqrt(2) + 2062 Simplify sqrt(171)*3*-6 + -2. -54*sqrt(19) - 2 Simplify -3 + sqrt(32)*-1. -4*sqrt(2) - 3 Simplify -4 + (sqrt(200) - (2 + sqrt(200)*-2 - sqrt(200)))**2. -160*sqrt(2) + 3200 Simplify -4 + (4*sqrt(3) + -3)*-4. -16*sqrt(3) + 8 Simplify sqrt(119)/(sqrt(84)/(1*sqrt(12)) + sqrt(7)). sqrt(17)/2 Simplify (sqrt(2904)*-1)/(sqrt(8) - (sqrt(8) - -6*1*sqrt(8))). 11*sqrt(3)/6 Simplify sqrt(475) - (-1*(1 + sqrt(475))**2 + sqrt(475)). 10*sqrt(19) + 476 Simplify (sqrt(375) + sqrt(375) + sqrt(375)*6 + sqrt(375))/sqrt(5). 45*sqrt(3) Simplify (sqrt(252) + -1 + sqrt(252) + 5 + sqrt(252))**2. 144*sqrt(7) + 2284 Simplify ((sqrt(1377) + 1)*3)**2 - -6*((sqrt(17) + 0)*-4)**2. 162*sqrt(17) + 14034 Simplify -2*((4 + sqrt(7))*-6)**2. -1656 - 576*sqrt(7) Simplify sqrt(833) + 2 + -5. -3 + 7*sqrt(17) Simplify sqrt(117)/sqrt(144) + sqrt(13) + sqrt(325)*-1 + ((sqrt(208)*-1 + sqrt(13))**2 - (1*sqrt(13) + -2 + sqrt(13))). -23*sqrt(13)/4 + 119 Simplify -3*(-2 + sqrt(272)) + -3. -12*sqrt(17) + 3 Simplify -5 + 3*(sqrt(10)/sqrt(5))**2. 1 Simplify (1*sqrt(200) + 4)**2. 80*sqrt(2) + 216 Simplify -1*sqrt(832)*2 - (sqrt(832) - (sqrt(832) + (-1*sqrt(832) + sqrt(832) + sqrt(832))*1))**2. -832 - 16*sqrt(13) Simplify -3*(-1 + (sqrt(10)/sqrt(2) + sqrt(5))**2 - (sqrt(5)*1 + 0)). -57 + 3*sqrt(5) Simplify sqrt(99)/(sqrt(9) - sqrt(81)*-3). sqrt(11)/10 Simplify -1 + (sqrt(6)/(4*sqrt(128) + sqrt(128)))**2. -1597/1600 Simplify (sqrt(68)*2*-1)/(2*sqrt(100))*4. -4*sqrt(17)/5 Simplify (-4 + (sqrt(56)/sqrt(4))/sqrt(7) + -3)**2. -14*sqrt(2) + 51 Simplify sqrt(20)/sqrt(4) + -1 + sqrt(60)/(sqrt(96)/sqrt(8)). -1 + 2*sqrt(5) Simplify 2 + (-2*sqrt(891)*4)**2. 57026 Simplify (3 + sqrt(7))*2 - sqrt(7) - (sqrt(7) - (sqrt(210)/sqrt(6))/sqrt(5)). sqrt(7) + 6 Simplify -4 + (3 + sqrt(128))**2. 48*sqrt(2) + 133 Simplify (sqrt(55)/sqrt(5)*-1)**2 + 2. 13 Simplify sqrt(18) + 0 + 4*(sqrt(2) + 3). 7*sqrt(2) + 12 Simplify ((-1*sqrt(234))/sqrt(6))/(sqrt(9)/(sqrt(3)*-3)). 3*sqrt(13) Simplify -4 + 2 + sqrt(1300) + 2. 10*sqrt(13) Simplify (-1*(sqrt(704) + (-4*(sqrt(704) + 0) - sqrt(704)) + -2))**2. 128*sqrt(11) + 11268 Simplify (-4 + sqrt(200) + 5)**2 + 4. 20*sqrt(2) + 205 Simplify 1*(sqrt(3) - -1*sqrt(3)) + -1 + sqrt(108). -1 + 8*sqrt(3) Simplify -1*sqrt(20)*-4. 8*sqrt(5) Simplify ((sqrt(700) - (sqrt(700) + 5*sqrt(700)))*5)**2. 437500 Simplify 4*4*-5*sqrt(1700). -800*sqrt(17) Simplify 6*-1*(sqrt(200) + -5). -60*sqrt(2) + 30 Simplify 3*(sqrt(91)*1 - sqrt(91))/sqrt(7). 0 Simplify 2 + 2 + (sqrt(51)*-2)/sqrt(3) + (1*sqrt(68) - sqrt(17)). -sqrt(17) + 4 Simplify (-1*(sqrt(108) + 1 + -5))**2. -48*sqrt(3) + 124 Simplify 5 + (-1*sqrt(304))**2. 309 Simplify (-6*sqrt(180)/sqrt(6) - sqrt(30))/(sqrt(864)*-1). 7*sqrt(5)/12 Simplify -6*((sqrt(13) - (-1 + (sqrt(13)*-1)**2)) + 1). -6*sqrt(13) + 66 Simplify (1*sqrt(1377) + 5 + -6*(3 + sqrt(1377) - sqrt(1377)))**2. -234*sqrt(17) + 1546 Simplify 4 + -1*sqrt(153). -3*sqrt(17) + 4 Simplify (sqrt(3) - sqrt(2700))**2*2. 5046 Simplify 2*5*((3*sqrt(1
{ "pile_set_name": "DM Mathematics" }
llest common multiple of 432333762 and 13234707? 1297001286 What is the common denominator of -16/534050609 and -52/24757313? 3738354263 Calculate the common denominator of -107/1961358 and 109/90. 29420370 Calculate the common denominator of -155/15876 and 125/2570442. 138803868 Calculate the common denominator of 55/26032984 and 31/50116. 286362824 Calculate the lowest common multiple of 112 and 364296. 5100144 Calculate the least common multiple of 4319 and 3033789. 21236523 Find the common denominator of -39/117257 and 17/11725700. 11725700 Calculate the common denominator of 37/42975 and -97/4950. 945450 Find the common denominator of -163/4777080 and -127/14331240. 14331240 Find the common denominator of 149/127322262 and 109/12. 254644524 What is the smallest common multiple of 870 and 26954775? 53909550 What is the common denominator of -71/56 and 29/1614968? 11304776 Calculate the common denominator of -2/11343471 and -43/11465. 56717355 What is the common denominator of 41/1392 and 139/1866954? 433133328 Calculate the common denominator of -77/115605176 and -9/20. 578025880 What is the common denominator of 25/19821396 and 145/955248? 79285584 Calculate the smallest common multiple of 265455 and 50. 2654550 What is the least common multiple of 314 and 4775758? 749794006 Find the common denominator of 151/23202 and -139/13147800. 39443400 What is the least common multiple of 1920 and 1538880? 3077760 Find the common denominator of -99/80984 and 35/632. 6397736 Calculate the common denominator of 42/2983 and -3/9895. 29516785 What is the common denominator of 27/8723728 and 67/15184? 636832144 Calculate the lowest common multiple of 10124149 and 25735. 50620745 What is the least common multiple of 386995 and 650? 50309350 What is the common denominator of -79/2072538 and 4/128687? 39378222 Find the common denominator of -127/23320626 and -79/8. 93282504 Calculate the least common multiple of 128348 and 192522. 385044 Calculate the common denominator of -107/113680 and 89/183260. 21258160 Calculate the least common multiple of 4383843 and 2378. 8767686 What is the common denominator of -99/2118830 and -61/46? 48733090 Find the common denominator of -17/57512994 and -105/3872. 920207904 What is the lowest common multiple of 1261 and 53301985? 692925805 What is the smallest common multiple of 565 and 314479? 1572395 What is the lowest common multiple of 10701 and 71311464? 71311464 Calculate the common denominator of 59/314712 and 113/3348. 314712 Calculate the least common multiple of 343 and 757610. 37122890 Calculate the smallest common multiple of 2621954 and 1367976. 31463448 What is the common denominator of -167/39336 and -49/2651902? 31822824 Find the common denominator of -61/459690 and -39/88. 1838760 Calculate the lowest common multiple of 8184 and 14022912. 154252032 Calculate the smallest common multiple of 14919050 and 1740. 89514300 Find the common denominator of -39/28 and -69/179744. 1258208 Find the common denominator of -57/1700 and -43/3744. 1591200 Calculate the common denominator of -59/213168305 and 97/40. 1705346440 What is the least common multiple of 4666230 and 280? 130654440 Find the common denominator of 77/12486000 and 13/2601250. 62430000 What is the common denominator of 79/54236 and -151/12253164? 159291132 What is the lowest common multiple of 41520 and 416930? 10006320 What is the common denominator of 83/1648824 and 35/2162588? 298437144 What is the common denominator of -59/3780 and 38/1155? 41580 Calculate the common denominator of -71/180 and 23/19243740. 57731220 Find the common denominator of 149/242706 and -179/23120940. 439297860 What is the least common multiple of 29713174 and 127? 29713174 Calculate the common denominator of -103/578016 and 41/71360. 5780160 Calculate the lowest common multiple of 18875748 and 10. 94378740 What is the smallest common multiple of 17550930 and 240? 140407440 What is the common denominator of -98/30108975 and 41/12352400? 481743600 What is the common denominator of -59/3260 and -47/15424? 12570560 What is the lowest common multiple of 61314 and 214599? 429198 What is the lowest common multiple of 1275470 and 655956? 22958460 Find the common denominator of 47/657850 and 33/131570. 657850 What is the least common multiple of 2525310 and 10746? 2525310 Find the common denominator of -14/12556035 and 79/40179312. 200896560 Calculate the lowest common multiple of 145728 and 7432128. 7432128 What is the common denominator of 127/6954 and -37/21123? 48963114 What is the smallest common multiple of 12699900 and 1100? 139698900 What is the smallest common multiple of 40661376 and 5376? 81322752 Calculate the common denominator of -229/1418340 and -71/385. 1418340 What is the common denominator of -29/26257266 and -43/2016? 420116256 What is the lowest common multiple of 4 and 3927841? 15711364 What is the common denominator of 1/9 and -30/464206411? 4177857699 What is the common denominator of -76/370047 and 64/11937? 370047 What is the smallest common multiple of 6042 and 118632? 119462424 Calculate the lowest common multiple of 924 and 26796. 26796 What is the lowest common multiple of 2049294 and 282? 2049294 What is the common denominator of 9/30108496 and -103/8305792? 240867968 What is the smallest common multiple of 4728 and 18530214? 74120856 Calculate the smallest common multiple of 25997764 and 11. 285975404 Calculate the least common multiple of 10069 and 7924303. 7924303 Find the common denominator of 133/583074 and 131/360. 11661480 What is the lowest common multiple of 16200 and 32152? 65107800 Calculate the lowest common multiple of 24293750 and 51750. 218643750 Find the common denominator of -157/360 and -149/192816. 964080 Calculate the common denominator of -173/126 and 173/2013774. 6041322 What is the common denominator of -93/7510 and -52/13233? 99379830 Calculate the common denominator of -95/98812 and -117/2766736. 2766736 Calculate the lowest common multiple of 1008399 and 242172. 375124428 Calculate the lowest common multiple of 629120 and 3711808. 37118080 Find the common denominator of 17/570360 and 163/4481400. 31369800 Calculate the common denominator of 73/16257580 and 119/30. 48772740 Calculate the smallest common multiple of 18 and 12021060. 36063180 What is the smallest common multiple of 1288 and 5194182? 20776728 What is the common denominator of -32/6928195 and -93/154820? 27712780 What is the common denominator of -19/17553380 and 46/117? 157980420 What is the common denominator of 3/18508 and -31/292? 1351084 Find the common denominator of -32/293643 and 5/118026. 48744738 Calculate the smallest common multiple of 2 and 79605314. 79605314 What is the lowest common multiple of 772 and 22600300? 22600300 What is the least common multiple of 26554 and 1209516? 85875636 Find the common denominator of 61/1086888 and 87/3740. 92385480 What is the lowest common multiple of 7900344 and 19616? 31601376 Calculate the least common multiple of 11502 and 9402. 18023634 Calculate the common denominator of 79/116877040 and -129/4760. 116877040 Calculate the least common multiple of 2966048 and 48. 8898144 Calculate the common denominator of 27/8414728 and 31/79551. 75732552 Find the common denominator of -31/927018 and 38/81. 2781054 What is the common denominator of -139/34506 and 13/84957606? 764618454 Calculate the common denominator of -71/21 and -121/9682776. 67779432 What is the smallest common multiple of 9502080 and 59388? 9502080 What is the smallest common multiple of 7446 and 2537845? 15227070 Calculate the common denominator of 121/139104 and 91/1023408. 14327712 What is the common denominator of -49/622564 and 15/155641? 622564 Calculate the common denominator of 26/111316765 and 13/102. 667900590 Find the common denominator of -39/98 and -67/6792576. 6792576 What is the common denominator of 47/177966 and -103/100550790? 100550790 Calculate the least common multiple of 11329922 and 7331126. 124629142 Calculate the common denominator of -43/982542 and 29/29297616. 322273776 Calculate the common denominator of 83/392 and 155/2028306. 8113224 What is the common denominator of 85/5295948 and -139/2647974? 5295948 Find the common denomi
{ "pile_set_name": "DM Mathematics" }
- ((sqrt(972)*-1 - sqrt(972))*-1 + sqrt(972)))/((1*sqrt(6048))/((2*sqrt(84))/sqrt(12))). 0 Simplify ((3 + sqrt(2) + -2 + -1 + sqrt(20)/(1*sqrt(10)) - ((sqrt(2) - (-2 + sqrt(2))*-2) + sqrt(72)*1 + -3))*4)**2. -1568*sqrt(2) + 2352 Simplify (((sqrt(306)*2*6 - sqrt(306)) + sqrt(306))/(6*(sqrt(6)*-1 - sqrt(6))))/((sqrt(75) + -4*-1*sqrt(75))*4). -sqrt(17)/100 Simplify (sqrt(312)/sqrt(6) + 3 + -1)**2 - (sqrt(52)*2*-1 - sqrt(364)/(sqrt(7) + (sqrt(28) + sqrt(7) - sqrt(7)))). 38*sqrt(13)/3 + 56 Simplify -2*((sqrt(40)*1)/sqrt(8) + sqrt(55)/sqrt(176) - (sqrt(605) + sqrt(605) + 0 + -3)*-5)**2. -993725/8 + 6675*sqrt(5) Simplify (4*3*(-3 + 3*(sqrt(180) + (sqrt(180) - sqrt(180)*-1)) - (5 + (sqrt(180) - 2*sqrt(180)*5 - sqrt(180)) + sqrt(180))))**2. -248832*sqrt(5) + 8407296 Simplify 2*sqrt(15)/sqrt(5) + (sqrt(3) - ((sqrt(192) + 0)**2 - sqrt(192))) + (sqrt(84)/(sqrt(21)/sqrt(3)))/(sqrt(24)/(sqrt(6)*-1)) + 2. -190 + 10*sqrt(3) Simplify ((-1*sqrt(102)*1 - sqrt(102) - sqrt(102))*-5)/((sqrt(66)/sqrt(704) + sqrt(6) + sqrt(6))*2). 60*sqrt(17)/17 Simplify (6*sqrt(320)*-1)**2 + (sqrt(320) + -3 - sqrt(320)) + 3 + sqrt(320) + -5 + (sqrt(320) + (2*sqrt(320) - sqrt(320)))**2*-4*-2. 8*sqrt(5) + 21755 Simplify (sqrt(180)/sqrt(3)*-1)/sqrt(12)*-1 - (-6*(0 + sqrt(5)) - sqrt(20)/(sqrt(8)/sqrt(2) + sqrt(4))). 15*sqrt(5)/2 Simplify (-1 + sqrt(500) + -1 + (sqrt(500) - (sqrt(500)*2 + 2)) + sqrt(500) - 2*(1 + sqrt(500) + 2))**2*1*-1. -600 - 200*sqrt(5) Simplify -4 + ((sqrt(11) - -4*(sqrt(11) - sqrt(44))) + -5 + 1 + sqrt(11) - (sqrt(11) + sqrt(11) + sqrt(11) + sqrt(396) + (sqrt(11) - 1*3*sqrt(11))))**2. 72*sqrt(11) + 903 Simplify (1 + sqrt(1300) + sqrt(1300) + 1)**2*6 + (-4*(-1 + sqrt(13)))**2 + 3 + -1. 448*sqrt(13) + 31450 Simplify -4 + (-2*(sqrt(15)/(sqrt(9)/(sqrt(9)/sqrt(3))) - 2*3*sqrt(5)*4))**2. 10576 Simplify (0 + -6*(0 + -3*sqrt(2736) + (sqrt(2736) - (sqrt(2736) + 2)*4))*1*1)**2. 41472*sqrt(19) + 3548160 Simplify 6*(((sqrt(153) - -1*sqrt(153)) + 3)**2 + (-1*-2*sqrt(153) - sqrt(153)) + -3*sqrt(153)*-2 + (sqrt(153) + sqrt(153) + -1 + -1)**2) + -2. 198*sqrt(17) + 7420 Simplify ((-4 + 4 + sqrt(2299) + 3 - (1*sqrt(228)*3)/((-1*sqrt(72))/sqrt(6)))*6)**2. 3024*sqrt(19) + 134388 Simplify ((4 + (sqrt(45)*-1 + -3 + sqrt(45)*-3 + 5 + -5)*1)*-3)**2. -216*sqrt(5) + 6489 Simplify (sqrt(102) + (sqrt(102) - 4*sqrt(102)*-6) + sqrt(102) + -5*-3*sqrt(102))/(-6*(sqrt(150) + 3*sqrt(150)*-3)). 7*sqrt(17)/40 Simplify (-2 + ((sqrt(704) - (sqrt(704) + 3*sqrt(704))) + sqrt(704))*1*1 - -5*(sqrt(704)*2*5 + (sqrt(704) - (sqrt(704) + -1))*1))**2. 2304*sqrt(11) + 1622025 Simplify (sqrt(2662)*-1*4*6)/(sqrt(12)/sqrt(6)*-4 + (sqrt(14) + (sqrt(28)/sqrt(2) - sqrt(14)) + sqrt(14) + sqrt(14))/sqrt(7)). 264*sqrt(11) Simplify ((-5 + 2 + sqrt(931) + -1 + -1*sqrt(931) + 3 + -1)*-3)**2 + -4. 32 Simplify ((-3 + ((sqrt(17) - (sqrt(17) + -3 + -1)) + sqrt(17) + sqrt(1377) + 2 + sqrt(1377))*-4)*-5 + 0)**2. 102600*sqrt(17) + 2473025 Simplify (((4*sqrt(363) - sqrt(363)) + 3 + 4)**2 - (((sqrt(363) - 2*sqrt(363))*6)**2 + (-5*(sqrt(363) - (sqrt(363) + -1)))**2))*2 + -2. -19556 + 924*sqrt(3) Simplify -5 + (sqrt(147)*-1)**2 + -3 + 0 - ((sqrt(147)/sqrt(63))/sqrt(7) + (-1 + 1 + -2*sqrt(3))**2). -sqrt(3)/3 + 127 Simplify -4*(sqrt(1300) + -2 + sqrt(1300))*1 - (1*(sqrt(117) + sqrt(117) + sqrt(117)*3)*4)**2. -46792 - 80*sqrt(13) Simplify (-6*-2*sqrt(242) + 5)**2 + (sqrt(72)/(sqrt(4)*2 - sqrt(4)))/(sqrt(72)/sqrt(128)). 1324*sqrt(2) + 34873 Simplify (((sqrt(125)*1 + -4)*5 - (0 + (-5 + -2*sqrt(125) - sqrt(125)))) + 1)**2. -1120*sqrt(5) + 8196 Simplify (-4*(-2*sqrt(12)/sqrt(6) - sqrt(32)*2))**2 + -1 + (2*sqrt(324))/(-6*sqrt(4)/sqrt(2)). -3*sqrt(2) + 3199 Simplify -4 + -6*(1*((1*sqrt(130)*4)/sqrt(10) - (3 + sqrt(1300)*-2)))**2. -44986 + 864*sqrt(13) Simplify ((sqrt(66) - -3*sqrt(66) - sqrt(66))/sqrt(6) + sqrt(44)/(sqrt(4)*-2))**2 + (1 + sqrt(704)*-2 + -5*(sqrt(704) + 2))**2. 1008*sqrt(11) + 138583/4 Simplify (-2 + (-1 + sqrt(117) + 5 - sqrt(117)) + (sqrt(117) + -1)*-3 + 5 + 6*(sqrt(117) + 0) + (0 + sqrt(117) - sqrt(117))*5)**2. 180*sqrt(13) + 1153 Simplify (-5 + 2 + 2 + sqrt(1088) + 2 + sqrt(1088))**2 - ((2*(sqrt(1088) - sqrt(1088)*4))**2 + (2*sqrt(1088))**2 + 5). -39172 + 32*sqrt(17) Simplify ((-2*(sqrt(162) + sqrt(162)*-3*-6 + sqrt(162)))**2 + 3 + (sqrt(16)/(sqrt(4) + sqrt(16)))/sqrt(2))*-3. -777609 - sqrt(2) Simplify (sqrt(10) - sqrt(490)*1)/(-4*sqrt(80)) + sqrt(16)/sqrt(128) + sqrt(18)/sqrt(225) + -3. -3 + 33*sqrt(2)/40 Simplify (-6*-2*-6*(5 + 3*(-5 + -3*(sqrt(1331) + 2))))**2. 28740096*sqrt(11) + 562956480 Simplify ((-6*sqrt(324)*-2*-4)/(sqrt(12)/(sqrt(36)*-1)*-2))**2. 559872 Simplify -1*(2*(5 + 5 + (sqrt(11) - (sqrt(55)/sqrt(5) + -3)))*-1*-2)**2. -2704 Simplify (((sqrt(140)*1 + sqrt(140))*3 + sqrt(140))/(4*-2*sqrt(5)))/(4*(sqrt(256) + (-1*sqrt(256) + sqrt(256) + sqrt(256))*4)). -7*sqrt(7)/1280 Simplify 2 + (-1*sqrt(80) + 1 - (sqrt(80)*-1 + 3) - (-3 + sqrt(80) + -1 + sqrt(80) + -4))**2. -96*sqrt(5) + 358 Simplify 5*(-5*((sqrt(76) - (sqrt(76)*4 - sqrt(76))) + sqrt(76)) + -3)*-5*1. -250*sqrt(19) + 75 Simplify 2*((sqrt(3) + -1)*-3 + sqrt(30)/sqrt(10) + 4 - (sqrt(243) + -4 - (sqrt(108)/sqrt(6))/sqrt(6)))**2. -440*sqrt(3) + 842 Simplify ((-5 + (-5 + -4*(sqrt(3) + -4 + sqrt(48)) - ((1 + sqrt(147) - sqrt(147) - sqrt(147))*1 + sqrt(147) + 2)))*4)**2. -1920*sqrt(3) + 19344 Simplify 1*((-2 + (-1 + sqrt(1100) + (sqrt(1100) - -2*sqrt(1100)))*-4)**2 - (4*(sqrt(1100) - (-2 + sqrt(1100) + sqrt(1100))*-3)*6)**2). -30785532 + 483200*sqrt(11) Simplify (1 + (sqrt(140)/sqrt(7))/sqrt(10) + -3 - (sqrt(198)*6)/(sqrt(11) + (2*sqrt(891) - sqrt(891))))**2. 16*sqrt(2)/5 + 132/25 Simplify (-4*(sqrt(500) - (sqrt(500) + -1))*2 + (sqrt(405) - 3*sqrt(320)))**2. 240*sqrt(5) + 1189 Simplify (sqrt(136)/(2*sqrt(4)) + sqrt(34) - (sqrt(34) - -3*sqrt(34))*-6)/((sqrt(40)/sqrt(144))/(sqrt(320)*3 + sqrt(320))). 4896*sqrt(17) Simplify (6*(sqrt(133)*4 + sqrt(133)) + sqrt(133) + sqrt(133) + -1*3*sqrt(133))/((sqrt(847) - (sqrt(847) + 3*sqrt(847)*-2)) + 3*sqrt(847)*-1). 29*sqrt(19)/33 Simplify (((sqrt(280) - -1*sqrt(280))*6)/(sqrt(200)*1 + sqrt(200)))/(6*(sqrt(20) - sqrt(320) - (sqrt(5) + sqrt(5) + (sqrt(80)*-2 - sqrt(5)))))*4. 4*sqrt(7)/5 Simplify 3*((sqrt(66)/(-2*sqrt(6))*-5 - (-4 + sqrt(11) + (2*sqrt(121))/sqrt(11))) + 0 + -5)**2. 3*sqrt(11) + 45/4 Simplify (sqrt(30)/(sqrt(42)/(sqrt(14)/sqrt(2)))*3 + (6*sqrt(5)*-3 - (-1 + sqrt(5))*1)**2)*3. -105*sqrt(5) + 5418 Simplify -3 + ((5*(sqrt(68) + sqrt(68)*3) + (sqrt(68) + 3*(sqrt(68)*4 - sqrt(68)) - sqrt(68)))/(4*-5*sqrt(576)*2))**2. -676903/230400 Simplify (1 + (5*sqrt(3900)*-4)/(sqrt(18)/(2*sqrt(384))))**2. -6400*sqrt(13) + 133120001 Simplify -1 + (1 + sqrt(931))**2*2 + 1 + (sqrt(931) + 0)**2 + sqrt(931) - (1*5*-1*-2*sqrt(171))**2. -14305 + 35*sqrt(19) Simplify (-6*(((sqrt(180) - (sqrt(180)*5 + -4)) + sqrt(180))*5 + (-1*sqrt(180) + 1)*-6))**2. -54432*sqrt(5) + 531936 Simplify ((1*sqrt(6)/sqrt(2) - (5 + sqrt(3) + 0)) + -3 - (-3*sqrt(432) + (2 + sqrt(3) - sqrt(3))*-3))**2 + 2. -144*sqrt(3) + 3894 Simplify -4 + (-2*((1 + sqrt(363))*-4 - (sqrt(363)*-2 + 2) - (2 + (sqrt(363) + 1 - sqrt(363)))*-4))**2. -1056*sqrt(3) + 5948 Simplify (-2*sqrt(114)*2)/(sqrt(6) + sqrt(66)/(sqrt(11) + 2*sqrt(11))) + 5 + sqrt(19)*1 + (sqrt(19) - (sqrt(76) - -4*sqrt(76))). -11*sqrt(19) + 5 Simplify (1*1*sqrt(320) + 1 + (sqrt(320) + 1 - sqrt(320)))**2 + ((sqrt(60)*4)/sqrt(12) - (sqrt(35)/sqrt(7) + -5)). 35*sqrt(5) + 329 Simplify (2 + ((-5*sqrt(700)*-1)**2 + (-5*(2*sqrt(700) + sqrt(700)))**2 - (-4 + (sqrt(700) - (sqrt(700)*2 + sqrt(700))))*-6))*5. -600*sqrt(7) + 874890 Simplify ((sqrt(133)*2 - sqrt(133))*-2 - ((sqrt(133) - sqrt(133)*-2) + sqrt(133) + sqrt(133) + sqrt(133))*6)/(-3*sqrt(63)*1*4). 19*sqrt(19)/18 Simplify (sqrt(1836) + -2*sqrt(1836)*-6 - 6*sqrt(1836)*-1)/(6*-2*sqrt(243)*2). -19*sqrt(17)/36 Simplify (0 + (sqrt(272) + 4 + 4)*4)**2 - (6*(sqrt(272) - (sqrt(272)*2 + sqrt(272))) + sqrt(272)*-3*-1)**2. -16656 + 1024*sqrt(17) Simplify (1*-2*sqrt(156))/(-1*(sqrt(12) + 1*sqrt(12))) - 6*(sqrt(208) - sqrt(208)*4)*-5. -359*sqrt(13) Simplify (((0 + sqrt(468) + sqrt(468) + sqrt(468))*6)**2 - -1*sqrt(468)*-2) + (sqrt(52) - (2*sqrt(52) + sqrt(52) - sqrt(52))*-2)/(sqrt(100)*-1). -13*sqrt(13) + 151632 Simplify -4*(sqrt(5) + (0 + sqrt(5))**2 + -4)*-5 + (-1 + (-4 + sqrt
{ "pile_set_name": "DM Mathematics" }
2. Let w be x(-6). Suppose 4*r = -w*k - 44, -3 = 5*k - 5*r + 2. Give g(k). -1 Let w(n) = 5*n + 8. Let t(c) = -9*c - 17. Let f(d) = -3*t(d) - 5*w(d). Let z = 387 - 380. Suppose 2*q + z = -0*g - g, -5*g + 2*q = 47. What is f(g)? -7 Let v(p) be the second derivative of p**5/20 - 7*p**3/6 - 2*p**2 + 1388*p. Give v(4). 32 Let x(k) = -3*k**3 + 8*k**2 + 22*k + 4. Let h = 38227 - 38229. Calculate x(h). 16 Let l be 4/8 + (10/4)/(-5). Suppose l*o = -11*o - 121. Let a(m) = -12*m**2 + 7*m - 4 - m**3 - 17*m + 8 + 0. Give a(o). -7 Let k(h) = -h**3 - 15*h**2 - 14*h + 3. Let n(l) = -l**3 - 16*l**2 - 15*l + 4. Let z(r) = 6*k(r) - 5*n(r). Let x be (-10 + 8)/((-24)/(-96)). Determine z(x). -58 Let u(r) = -r**3 + 3*r**2 + r - 4. Let l be (-69)/7 + (-1)/7. Let z be (-1 + l/(-4))/(147/1960). Suppose -21*s + z*s = -3. Give u(s). -1 Let w(r) = r**3 - 5*r**2 + r - 1. Let m(v) = v**3 + 12*v**2 + v + 17. Let n = 13 - 25. Let a be m(n). Suppose a*f - 12 = 2*f. What is w(f)? -13 Let h(w) = -w + 1. Suppose -6 - 2 = -s. Let f(v) = -8*v + 47. Let a be f(s). Let k(t) = -3*t + 3. Let g(z) = a*h(z) + 6*k(z). Calculate g(-1). 2 Suppose -24 = 7*w - 3*w. Suppose 4*o - 2*f = 14, -3*o + 1 = -2*f - 9. Let c(g) = 3*g**3 - o*g**3 - 25 + 26 + g - 3*g - 7*g**2. Give c(w). -23 Let t(k) = k**3 - 21*k**2 + 22*k - 15. Let j(z) = 2*z**2 - 166*z + 20. Let x be j(83). Determine t(x). 25 Let y(v) = v**3 + 10*v**2 + v + 3. Suppose 2*c - 83 = -3*d, -4*d - 39 = -c - 3*d. Suppose 0 = -j - h - 4 - 6, 4*j - 5*h + c = 0. Give y(j). -7 Let f be 4 + 1 + -77 + 74. Let k(b) = -6*b**3 + 6*b**2 - 7*b - 5. Let m(w) = -7*w**3 + 7*w**2 - 8*w - 6. Let j(x) = 6*k(x) - 5*m(x). What is j(f)? -8 Let p(z) = 105 + 0*z - 4*z - 225 - 5*z + 118. Let u(o) be the third derivative of -3*o**4/8 - o**3/3 + o**2. Let x(c) = 7*p(c) - 6*u(c). What is x(2)? -20 Let u(v) = -2*v**2 - 12*v - 4. Let r(a) = 11*a + 242. Let x be r(-22). Suppose 5*k + x*c + 3*c + 49 = 0, -4*k - 4*c - 44 = 0. Calculate u(k). -36 Suppose 2*t - 57 + 41 = 0. Let y(g) be the first derivative of 2*g**3/3 - 9*g**2 + 10*g + 704. What is y(t)? -6 Let h(v) = 2*v + 19. Let k be 8 - 10 - 4/(12/(-27)). What is h(k)? 33 Let m(x) = 0 - 2*x**2 + 1 + 0 - 8*x**3. Let k be 7/(43 - (17 + 19)). Determine m(k). -9 Let v(r) = 48*r + 963. Suppose 130*n - 87*n = 85*n + 840. Calculate v(n). 3 Let x(o) be the second derivative of o**5/120 + 13*o**4/24 - 2*o**3/3 - o**2 + 32*o. Let c(s) be the second derivative of x(s). What is c(-11)? 2 Let m(i) be the first derivative of -7*i**4/4 + i**3/3 - i**2/2 + i + 86. Suppose -8*a = -3*a - 5. What is m(a)? -6 Let g = -200 - -202. Let l(n) = 6 + 9*n**g - 6*n + 1 - 8*n**2. Calculate l(6). 7 Suppose 6 = 48*z - 138. Let g(b) = -b**3 + 4*b**2 - 16. Give g(z). -7 Let a(z) be the second derivative of -z**4/12 + 11*z**3/6 + 3*z**2/2 - 904*z. Give a(10). 13 Let n(t) = 22*t**3 - 5*t + 4. Let k(z) = -19*z**3 - z**2 + 4*z - 4. Let q(d) = 7*k(d) + 6*n(d). What is q(-3)? -34 Let u(i) = -3*i**2. Let c = 7 + -4. Let z(b) = b**3 - 4*b**2 + 5*b - 6. Let o be z(c). Suppose 0 = 5*g + 3*h - 5, -1 = -o*g - g + 4*h. Calculate u(g). -3 Let u(l) = l**3 + 5*l**2 + 5*l + 3. Let p = -226 - 8. Let f = -238 - p. What is u(f)? -1 Let m(w) = -w**2 + 7*w - 3. Suppose 2*z - 3*z = -40. Let a be 22/8 + -2 + (-3077)/(-68). Let p = a - z. Determine m(p). 3 Let q(j) = -17*j**3 - 8*j**2 + 2*j - 11. Let r be q(3). Let k = r + 528. Let f(p) = -p**2 - 7*p + 10. Calculate f(k). 2 Let p(i) be the second derivative of -2*i**3/3 + 9*i**2/2 + 9*i + 2. Let g(b) = 5*b - 7. Let c(y) = 3*g(y) + 4*p(y). Determine c(15). 0 Let g(j) = -j + 3. Suppose -2*f - 5 = -3*f. Suppose -2*t = 27 - 57. Suppose -o - f = x, 3*o + t = -x - 0*o. What is g(x)? 3 Let o(z) = -8*z**2 + 29*z + 3. Let a(v) = 3*v**2 - 14*v - 2. Let g(s) = -5*a(s) - 2*o(s). Calculate g(-8). -28 Let c be (-6)/(4 - 2) + 2. Let y(w) = w**3 + 23*w**2 - 22*w + 50. Let r be y(-24). Let a(x) = -2*x + 2*x**2 + 12 - 10*x**2 + x**r - 13. Calculate a(c). -6 Let u(l) = l**3 + 34*l**2 + 63*l - 31. Suppose -4*v - 158 = 5*t, -58*v + 38 = -59*v - t. Give u(v). 1 Let z(j) = -726*j**2 + 375*j**2 + 352*j**2 + 5*j - 7. Suppose -l + 10 - 16 = 0. Give z(l). -1 Let j(x) be the first derivative of -x**4/4 + 10*x**3/3 - 21*x**2/2 + 5*x - 329. Give j(7). 5 Let c(z) be the second derivative of -z**5/20 - 3*z**4/4 - 13*z**3/6 - 13*z**2 + 8170*z. Determine c(-8). 14 Let x(l) = 4 - 7*l - l**3 + 8*l + 2 - 10*l**2. Let i = 341 + -351. Give x(i). -4 Let p(c) be the second derivative of -c**7/2520 - c**6/720 + c**5/40 - 25*c**4/6 + c**2 + 39*c. Let u(a) be the third derivative of p(a). Determine u(-4). -9 Let q(w) = 61*w + 5. Let r(m) = 51*m + 4. Let t(v) = 5*q(v) - 6*r(v). Determine t(-10). 11 Let l(w) = -5*w - 3. Suppose -17*g - 34 = -0. Let m(v) = -2*v. Let t(i) = g*m(i) + l(i). Suppose -3*x + 12 = 0, -4*s - 23 = -3*x - 3. What is t(s)? -1 Suppose 4*t + 9*t = -884. Let z = t - -65. Let n(k) = -k**2 - 1. Let g(u) = 4. Let d(i) = g(i) + 2*n(i). Give d(z). -16 Let r(b) = b**3 + 10*b**2 + 12*b - 2. Let t = 365 + -363. Suppose 0 = t*j - 2*c + 8, -4*c - 47 = 2*j - 9. What is r(j)? -29 Suppose 3*g - 4*v = 3 + 1, -3*g - 5*v - 5 = 0. Suppose g = 5*u + i - 6, 2*u + 5*i = u + 6. Let o(q) = -7*q**3 + 2*q**2 - 3*q**2 + q + 0*q**2. Calculate o(u). -7 Let b(m) = -6*m**3 - 65*m**2 + 15*m + 13. Let q(k) = k**3 + 13*k**2 - 2*k - 1. Let d(y) = b(y) + 5*q(y). What is d(-2)? 6 Let t(o) = 21. Let x(m) = -m - 73. Let u(v) = -6*t(v) - x(v). Determine u(44). -9 Let y(b) = -55*b**3 + 10*b**2 + 29. Let c(q) = -110*q**3 + 22*q**2 + 68. Let f(h) = -3*c(h) + 7*y(h). Calculate f(1). -52 Suppose -2*l - 42 = -3*t, -16*t + 70 = -5*l - 154. Let s(f) = -2*f + f**2 - 7 - 3*f**2 + f**2. Give s(l). -7 Let z = -10 + 13. Suppose -3*s - 27 = z. Let p(o) = 5 - 5 - 6 + 2 - 3 - o. Calculate p(s). 3 Let w(u) be the second derivative of u**6/40 - u**4/6 - u**3/2 - 49*u**2 + 10*u + 7. Let k(o) be the first derivative of w(o). Give k(-2). -19 Let n(x) = -3*x - 29. Let p be n(-9). Let h(o) = -2*o**3 - 2*o**2 + 2*o + 3. Let b(f) = -9*f**3 - 11*f**2 + 11*f + 16. Let i(j) = p*b(j) + 11*h(j). Give i(-1). 5 Let f(h) = 20*h**2 + 22*h - 24. Let l(n) = 34*n**2 + 42*n - 45. Let w(r) = 5*f(r) - 3*l(r). What is w(1)? -3 Let c(s) = 19 + 95*s - 29*s - 6*s**2 + s**3 - s**2 - 25*s - 37*s. Calculate c(5). -11 Let w(h) = h**3 + 106*h + 107*h - 30 - 322*h + 116*h - 8 + 20*h**2. What is w(-20)? -178 Let i(m) = -23*m**2 - 287*m - 699. Let r(d) = 6*d**2 + 71*d + 174. Let t(k) = 4*i(k) + 15*r(k). Determine t(-39). 9 Let s(z) = -2536 - z + z + z + 2536. Let d = 4 - 7. Give s(d). -3 Let s be ((-67)/(-134))/(3 + 0 + (-7)/2). Let t(i) = 9*i**2 - 1. Calculate t(s). 8 Let w be ((-9)/12)/((-12)/128) - 5. Let v(k) be the second derivative of -k**2 - 1/6*k**w - 2*k + 0. What is v(-4)? 2 Let o(x) = -x**2 + 24*x - 125. Suppose 33*k - 145*k + 1904 = 0. Determine o(k). -6 Let l(c) = c - 3*c - 1 - 5. Suppose -136 - 2272 = 8*z. Let y = z + 295. Give l(y). 6 Let p = -3 + 6. Suppose v = 4*f + 1292, 5*v = 9*v + 4*f - 5068. Let g(k) = p*k**3 + v + 8*k + 4*k**2 - 1269 - 4*k**3. Calculate g(6). -21 Let f be 4/12*(-6 + 102/12). Let g(j) be the third derivative of 0 + 1/8*j**4 + 0*j + f*j**3 - 6*j**2. Calculate g(-4). -7 Let t(l) be the third derivative of -7*l**4/8 + 235*l**3/6 + 434*l**2 - l. What is t(11)? 4 Let p = 151 - 145. Let k(o) = p - 2*o + 12 - 20. Give k(-1). 0 Let z(o) = -o**3 + 6*o**2 - 2*o - 5. Suppose f = p - 15, 3*p + f + 3*f = 66. Suppose -2*a - p = -49*d + 45*d, 3*d + 2*a - 10 = 0. Calculate z(d). 19 Let w(n) = -7*n. Suppose -2*r = 3*s - 31 + 4, -4*s + 2*r + 22 = 0. Suppose -s*x = 2*x + 9. Let f(a) = a + 1. Let l(u) = x*w(u) - 6*f(u). Calculate l(5). -1 Let v(g) be the third derivative of -7*g**4/12 + 2*g**3/3 - 89*g**2 + 10. Give v(2). -24 Let k(z) = 13*z + 5. Let d(i) = -i**2 - 30*i - 100. Let f be d(-26). Suppose -29*v + 28*v - f = 0. What is k(v)? -47 Let d = 3 + 4. Let i(p) be the first derivative of -p**5/60 + p**4/4 - 4*p**3/3 - 19*p**2/2 + p - 298. Let v(a) be the second derivative of i(a). Give v(d). -15 Let t(g) = g**2 + 6*g + 7. Suppose 4*b - 5*q + 0*q = -20, 2*q - 8 = -b. Suppose -m - 64 + 58 = b. Determine t(m). 7 Let v(w) = w**2 - 10*w + 28. Let s be v(4). Let r(x) = -6*x + 11 - s + 2 - 8 - x**2. Give r(-3). 10 Let a =
{ "pile_set_name": "DM Mathematics" }
2789669? False Is 614 a factor of 595869808? True Does 28 divide 63530264? True Is 185 a factor of 99557263? False Does 26 divide 9104597? False Does 36 divide 13345983? False Is 14191853 a multiple of 9? False Does 19 divide 2222274922? True Does 2253 divide 10839183? True Does 2 divide 423328355? False Is 14316881 a multiple of 59? True Is 134 a factor of 228170376? True Is 22937308 a multiple of 9? False Is 570636460 a multiple of 1381? False Does 656 divide 364699290? False Is 29 a factor of 5001680? False Is 203852363 a multiple of 143? True Does 233 divide 202470010? True Does 941 divide 1954391130? True Does 2008 divide 77735704? True Does 12 divide 2573744232? True Is 2296280825 a multiple of 843? False Does 784 divide 860832? True Does 492 divide 37550826? False Is 118 a factor of 25266868? True Does 4142 divide 172029686? True Is 496472800 a multiple of 4150? True Does 5 divide 59918444? False Does 2180 divide 1992007? False Is 47896948 a multiple of 3572? True Is 17 a factor of 3761709? True Does 14 divide 4101541087? False Is 5052 a factor of 3043708752? True Does 22 divide 584949146? False Does 28 divide 963966? False Is 59062373 a multiple of 87? False Does 1458 divide 348233424? False Is 4624300 a multiple of 20? True Does 210 divide 4964820? True Is 378 a factor of 4923468? False Is 401846457 a multiple of 863? True Does 29 divide 19454453? False Is 43682422 a multiple of 7? True Does 5 divide 424090585? True Does 2459 divide 232119764? True Does 31 divide 92642965? False Does 1397 divide 35082861? True Is 120 a factor of 66284954? False Is 22991592 a multiple of 354? True Is 1080 a factor of 61917480? True Does 1295 divide 120523673? False Is 90186768 a multiple of 252? True Does 498 divide 56067685? False Does 2344 divide 818764004? False Does 1231 divide 215942819? False Is 3619288500 a multiple of 60? True Does 10 divide 813464504? False Is 4781 a factor of 646089997? True Is 92 a factor of 3760296036? True Is 16 a factor of 280265366? False Does 144 divide 19493632? False Does 59 divide 1570100153? True Is 1139743502 a multiple of 1263? False Is 685946107 a multiple of 187? True Is 669219547 a multiple of 11? False Is 37050151 a multiple of 5? False Does 3 divide 6563021? False Is 2222 a factor of 799331849? False Is 794 a factor of 10798400? True Is 41133000 a multiple of 30? True Does 2377 divide 145456420? False Does 115 divide 144554268? False Is 671549303 a multiple of 1408? False Does 156 divide 279281808? True Is 74 a factor of 428916432? True Does 12 divide 2045135665? False Is 24 a factor of 556719484? False Is 2715461 a multiple of 207? False Is 434 a factor of 151363019? False Is 14 a factor of 1136861382? False Is 52598819 a multiple of 397? False Does 13 divide 65981857? False Is 65736647 a multiple of 1906? False Does 1191 divide 484583504? False Does 33 divide 223246320? True Is 95 a factor of 11163091? False Does 12 divide 35360323? False Is 2486 a factor of 512291565? False Does 5 divide 160482200? True Is 58 a factor of 227716255? False Is 5785 a factor of 915869630? True Is 43929501 a multiple of 19? True Is 295 a factor of 5868733? False Does 81 divide 183904020? True Is 223692220 a multiple of 156? False Is 218 a factor of 21450124? False Does 9 divide 93774917? False Does 7081 divide 4910843444? True Is 1868340 a multiple of 12? True Does 1101 divide 2916755988? True Is 12 a factor of 26180016? True Is 41 a factor of 644069737? False Is 23233144 a multiple of 4? True Is 39 a factor of 2042105208? True Is 27546827 a multiple of 991? True Does 2 divide 1546566? True Is 921 a factor of 3127913696? False Does 47 divide 118773143? False Is 1519736 a multiple of 315? False Is 77947604 a multiple of 2? True Does 15 divide 623830862? False Is 181 a factor of 49635811? True Is 5 a factor of 64066775? True Does 555 divide 519621? False Is 6 a factor of 10322736? True Is 9 a factor of 743112? True Is 206 a factor of 31053874? False Is 28553868 a multiple of 196? True Is 437331789 a multiple of 123? True Does 6 divide 164667906? True Is 21507360 a multiple of 346? True Does 36 divide 49836960? True Is 523496924 a multiple of 34? False Does 914 divide 1249539184? False Does 15 divide 9654634545? True Is 3824000 a multiple of 5? True Does 18 divide 176917312? False Does 279 divide 164575683? True Is 16887591 a multiple of 77? False Does 27 divide 878447511? True Is 9 a factor of 89796249? True Is 37862488 a multiple of 11? False Does 181 divide 1306888780? True Is 26007148 a multiple of 811? True Is 4690 a factor of 52353217? False Is 32 a factor of 20152080? False Is 10112590 a multiple of 406? False Is 524448104 a multiple of 263? False Is 38 a factor of 34747372? False Does 5774 divide 940421923? False Is 676 a factor of 18399368? True Is 29 a factor of 261791091? True Is 592 a factor of 1886663744? True Is 348 a factor of 717794? False Is 633984598 a multiple of 611? True Is 111681749 a multiple of 59? True Does 9 divide 55784241? True Is 2 a factor of 800850? True Is 92 a factor of 277054562? False Is 13 a factor of 5874681069? False Does 41 divide 55570047? True Is 3201 a factor of 207830026? False Is 3 a factor of 26256749? False Is 14022736 a multiple of 104? True Does 103 divide 76296838? True Is 782 a factor of 208718928? True Does 29 divide 56613307? True Is 1573218271 a multiple of 716? False Does 1769 divide 249967621? False Does 33 divide 794617263? True Does 45 divide 407229300? True Does 8 divide 431324288? True Is 3749713760 a multiple of 208? True Is 569 a factor of 3317381073? False Is 13 a factor of 73041501? True Is 11704336 a multiple of 7? True Does 3329 divide 35987646? False Is 45 a factor of 141288010? False Is 55338008 a multiple of 88? True Is 358540499 a multiple of 16? False Is 5 a factor of 8442545? True Does 436 divide 111897656? True Does 64 divide 82967552? True Is 347344163 a multiple of 317? False Is 571 a factor of 22249456? False Is 320 a factor of 610436278? False Does 249 divide 208164? True Is 50893878 a multiple of 31? True Is 4177736 a multiple of 9? False Is 1241137656 a multiple of 3597? True Is 73 a factor of 1504321439? True Is 5199 a factor of 511620797? False Is 6 a factor of 309310639? False Is 544608988 a multiple of 8811? False Does 35 divide 3013686834? False Is 14 a factor of 284927692? True Does 48 divide 2063292480? True Is 1170 a factor of 266252220? True Is 155 a factor of 887794212? False Is 9071793 a multiple of 245? False Is 11 a factor of 248584699? True Is 129421236 a multiple of 133? True Is 471 a factor of 142312485? False Is 5079551 a multiple of 1193? False Is 10 a factor of 36103710? True Does 39 divide 626895438? True Is 99183233 a multiple of 45? False Is 1652024360 a multiple of 9380? True Does 897 divide 173104854? True Is 1918733951 a multiple of 14? False Is 7 a factor of 15966883? False Is 84 a factor of 37610852? False Does 311 divide 1391412294? False Does 21 divide 9228324? True Is 2037308 a multiple of 754? True Is 8 a factor of 9533144? True Does 1717 divide 10695241? False Does 150 divide 1214808300? True Is 10434289 a multiple of 5? False Is 96278994 a multiple of 93? True Is 139 a factor of 27798332? True Is 331062880 a multiple of 34? False Does 2398 divide 329859648? False Is 529 a factor of 19110357? False Is 22 a factor of 66254650? True Is 87819555 a multiple of 6? False Is 135461609 a multiple of 340? False Is 36519330 a multiple of 570? True Does 2114 divide 535491199? False Is 3007543155 a multiple of 903? False Is 8499844 a multiple of 15? False Is 71 a factor of 297709210? False Is 162601434 a multiple of 79? True Is 3 a factor of 128795763? True Is 48 a factor of 19875312? True Is 126451398 a multiple of 501? True Is 620228578 a multiple of 19? False Does 19 divide 2449418839? True Does 514 divide 260121344? False Is 524685787 a multiple of 13? False Is 62569675 a multiple of 25? True Is 78 a factor of 2817257118? True Is 141148409 a multiple of 1656? False Is 684 a factor of 49117705? False Does 950 divide 59804400? True Does 99 divide 2431310? False Is 250284030 a multiple of 30? True Is 607455264 a multiple of 1248? True Does 99 divide 7335306? True Does 12 divide 14487539? False Does 48 divide 4348938? False Does
{ "pile_set_name": "DM Mathematics" }
(base 9) in base 5? -2 What is 2 (base 10) in base 15? 2 What is 1 (base 16) in base 6? 1 Convert -11 (base 8) to base 7. -12 What is -4 (base 9) in base 15? -4 Convert 3 (base 7) to base 5. 3 Convert -3 (base 10) to base 13. -3 What is 122 (base 13) in base 8? 305 -1 (base 12) to base 10 -1 Convert 232 (base 7) to base 3. 11111 Convert 7a (base 14) to base 4. 1230 What is 116 (base 8) in base 14? 58 -101 (base 2) to base 11 -5 Convert 100011000 (base 2) to base 10. 280 40 (base 6) to base 16 18 -8 (base 16) to base 2 -1000 2 (base 13) to base 12 2 Convert -10 (base 16) to base 13. -13 -183 (base 9) to base 5 -1111 What is 37 (base 11) in base 2? 101000 -11 (base 3) to base 4 -10 What is -2 (base 14) in base 3? -2 Convert 7 (base 12) to base 13. 7 Convert -70 (base 16) to base 5. -422 -5 (base 16) to base 7 -5 What is 6 (base 12) in base 4? 12 -1 (base 2) to base 16 -1 -2 (base 10) to base 5 -2 What is -54 (base 13) in base 8? -105 Convert 210 (base 6) to base 12. 66 -14 (base 14) to base 13 -15 What is -272 (base 8) in base 6? -510 30 (base 7) to base 16 15 What is 0 (base 14) in base 16? 0 What is -15 (base 6) in base 10? -11 What is -110 (base 3) in base 12? -10 Convert 57 (base 12) to base 7. 124 Convert 127 (base 8) to base 13. 69 What is 144 (base 8) in base 6? 244 What is 20 (base 5) in base 13? a What is 200 (base 13) in base 7? 662 Convert -333 (base 5) to base 16. -5d Convert -5 (base 11) to base 4. -11 What is 27 (base 13) in base 11? 30 Convert 61 (base 9) to base 12. 47 Convert 22 (base 5) to base 9. 13 What is -4 (base 16) in base 3? -11 Convert -3 (base 12) to base 14. -3 What is 5 (base 15) in base 2? 101 29 (base 13) to base 16 23 What is e3 (base 15) in base 10? 213 What is 1 (base 16) in base 5? 1 -4 (base 6) to base 11 -4 Convert 2 (base 16) to base 11. 2 What is -101001 (base 2) in base 5? -131 What is -33 (base 13) in base 2? -101010 Convert -4b (base 12) to base 5. -214 What is 30 (base 6) in base 8? 22 Convert -6 (base 14) to base 13. -6 -2 (base 15) to base 3 -2 -fb (base 16) to base 12 -18b 18 (base 9) to base 7 23 -3 (base 6) to base 9 -3 6 (base 11) to base 6 10 Convert -4 (base 15) to base 7. -4 Convert -1 (base 11) to base 4. -1 Convert 1312 (base 4) to base 8. 166 What is -4 (base 15) in base 7? -4 Convert 10 (base 7) to base 16. 7 Convert -1 (base 14) to base 4. -1 20 (base 3) to base 13 6 0 (base 8) to base 14 0 What is -16 (base 11) in base 12? -15 What is 4 (base 5) in base 14? 4 -3 (base 15) to base 3 -10 What is 18 (base 16) in base 15? 19 -13 (base 6) to base 7 -12 What is 1 (base 6) in base 14? 1 Convert 11 (base 8) to base 14. 9 What is -2 (base 7) in base 15? -2 Convert 3 (base 8) to base 6. 3 Convert -1 (base 14) to base 16. -1 What is b1 (base 15) in base 4? 2212 Convert 1 (base 2) to base 12. 1 1 (base 10) to base 7 1 What is -14 (base 15) in base 7? -25 What is 3 (base 15) in base 11? 3 4 (base 5) to base 11 4 What is 1000 (base 5) in base 2? 1111101 What is 1 (base 9) in base 2? 1 What is 8a (base 12) in base 7? 211 -10110000 (base 2) to base 15 -bb -3 (base 15) to base 5 -3 Convert -15 (base 7) to base 10. -12 Convert -100101 (base 2) to base 5. -122 What is 52 (base 6) in base 10? 32 What is -1 (base 15) in base 10? -1 What is -22 (base 4) in base 9? -11 What is 21 (base 13) in base 5? 102 What is 163 (base 10) in base 13? c7 0 (base 9) to base 4 0 What is 13 (base 6) in base 12? 9 What is -43 (base 11) in base 9? -52 What is -122 (base 4) in base 16? -1a What is 16 (base 13) in base 15? 14 What is 10 (base 16) in base 2? 10000 What is 40 (base 5) in base 3? 202 Convert -2 (base 15) to base 12. -2 Convert 3 (base 9) to base 10. 3 Convert -6 (base 15) to base 14. -6 Convert -102 (base 6) to base 8. -46 What is -29 (base 15) in base 4? -213 Convert -147 (base 8) to base 13. -7c -41 (base 15) to base 7 -115 3 (base 4) to base 12 3 4 (base 8) to base 4 10 Convert 253 (base 10) to base 5. 2003 Convert 32 (base 14) to base 5. 134 What is 10 (base 3) in base 12? 3 -3 (base 13) to base 10 -3 What is 33 (base 5) in base 8? 22 0 (base 16) to base 15 0 What is -4 (base 16) in base 3? -11 -1e (base 15) to base 16 -1d -6 (base 13) to base 4 -12 What is 431 (base 5) in base 7? 224 What is 49 (base 13) in base 6? 141 What is -28 (base 9) in base 3? -222 -3 (base 10) to base 15 -3 Convert -35 (base 6) to base 15. -18 544 (base 6) to base 15 dd Convert 0 (base 16) to base 5. 0 What is 24 (base 8) in base 11? 19 -6b (base 15) to base 7 -203 Convert -4 (base 15) to base 8. -4 What is -46 (base 7) in base 14? -26 Convert -2 (base 3) to base 9. -2 Convert -1110000 (base 2) to base 5. -422 15 (base 9) to base 5 24 116 (base 10) to base 5 431 Convert 3d (base 14) to base 16. 37 What is -7 (base 11) in base 15? -7 What is -a (base 14) in base 7? -13 Convert 9 (base 12) to base 6. 13 What is 1a5 (base 12) in base 2? 100001101 10 (base 11) to base 8 13 What is 121 (base 7) in base 9? 71 2 (base 4) to base 3 2 11 (base 2) to base 10 3 2202 (base 4) to base 6 430 What is -9a (base 16) in base 15? -a4 Convert 210 (base 4) to base 16. 24 3 (base 8) to base 4 3 What is -6 (base 10) in base 6? -10 What is -3 (base 15) in base 12? -3 -1d (base 16) to base 4 -131 Convert -69 (base 13) to base 12. -73 -14 (base 12) to base 11 -15 What is -1 (base 9) in base 15? -1 What is -14 (base 6) in base 13? -a Convert 1b (base 12) to base 8. 27 What is -144 (base 12) in base 9? -237 What is 122 (base 5) in base 10? 37 6 (base 8) to base 11 6 What is -112 (base 4) in base 12? -1a Convert -15 (base 6) to base 9. -12 What is 100 (base 2) in base 13? 4 What is 301 (base 10) in base 5? 2201 5 (base 16) to base 13 5 10 (base 7) to base 2 111 What is 2 (base 4) in base 11? 2 Convert 114 (base 5) to base 3. 1021 What is -42 (base 10) in base 7? -60 -a (base 12) to base 16 -a What is 2c (base 13) in base 8? 46 -11 (base 6) to base 12 -7 Convert -4 (base 15) to base 11. -4 What is 21 (base 14) in base 7? 41 -10 (base 11) to base 9 -12 -4e (base 15) to base 7 -134 52 (base 13) to base 8 103 What is 1 (base 12) in base 10? 1 Convert 21022 (base 3) to base 7. 401 What is -12 (base 11) in base 7? -16 242 (base 9) to base 7 404 -3 (base 6) to base 12 -3 -1 (base 16) to base 3 -1 What is -2 (base 3) in base 13? -2 Convert 5 (base 16) to base 10. 5 Convert -22 (base 8) to base 5. -33 What is 31 (base 11) in base 12? 2a -2 (base 16) to base 5 -2 -61 (base 10) to base 5 -221 What is 3232 (base 4) in base 10? 238 Convert 4 (base 10) to base 8. 4 1 (base 14) to base 16 1 -1 (base 16) to base 2 -1 -29 (base 11) to base 13 -25 -4 (base 8) to base 11 -4 Convert 1 (base 2) to base 9. 1 -2 (base 3) to base 9 -2 Convert 6 (base 16) to base 12. 6 Convert 24 (base 9) to base 14. 18 Convert 3 (base 4) to base 8. 3 What is 40 (base 14) in base 5? 211 What is 4 (base 16) in base 12? 4 6 (base 15) to base 6 10 What is 52 (base 6) in base 15? 22 What is -33 (base 5) in base 6? -30 Convert -10 (base 8) to base 7. -11 35 (base 11) to base 14 2a -10002 (base 3) to base 2 -1010011 What is 54 (base 15) in base 7? 142 Convert -3 (base 14) to base 6. -3 Convert -20 (base 3) to base 15. -6 8 (base 10) to base 8 10 Convert 52 (base 13) to base 11. 61 200 (base 7) to base 10 98 What is 3 (base 4) in base 6? 3 What is 53 (base 6) in base 3? 1020 Convert 8 (base 14) to base 6. 12 What is -50 (base 8) in base 6? -104 Convert 30 (base 9) to base 16. 1b 2 (base 16) to base 7 2 -10 (base 12) to base 16 -c 13 (base 13) to base 6 24 -3 (base 12) to base 5 -3 Convert -10 (base 8) to base 12. -8 What is -11 (base 11) in base 14? -c 1100 (base 2) to base 10 12 Convert 3 (base 7) to base 5. 3 Convert -3 (base 6) to base 7. -3 25 (base 6) to base 11 16 Convert -29 (base 14) to base 8. -45 80 (base 11) to base 14 64 -22 (base 5) to base 16 -c Convert 2221 (base 3) to base 13. 61 Convert 53 (base 10) to base 3. 1222 What is 9 (base 15) in base 16? 9 What is -10110010 (base 2) in base 11? -152 23 (base 8) to base 6 31 Convert -51 (base 7) to base 4. -210 Convert 3d (base 14) to base 6. 131 -1 (base 15) to base 11 -1 223 (base 4) to base 13 34 What is -425 (base 6) in base 9? -188 What is -3 (base 10) in base 7? -3 Convert 33 (base 15) to base 9. 53 Convert -4 (base 5) to base 7. -4 2 (base 13) t
{ "pile_set_name": "DM Mathematics" }
ent from {i: 7, l: 7, r: 2}? 1/80 Three letters picked without replacement from oobzyoccybooooooc. What is prob of picking 1 b, 1 z, and 1 y? 1/170 Calculate prob of picking 3 c and 1 x when four letters picked without replacement from cxcxccxxccxcccxxxxc. 90/323 Three letters picked without replacement from kmldijd. What is prob of picking 1 j, 1 k, and 1 m? 1/35 What is prob of picking 4 k when four letters picked without replacement from {j: 4, k: 4, n: 12}? 1/4845 Four letters picked without replacement from zvvcefhzvhzffecz. Give prob of picking 1 h, 2 v, and 1 z. 6/455 Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {e: 1, m: 3, u: 4}. 3/7 Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {r: 1, p: 1, x: 2, v: 2, m: 1}. 1/21 Two letters picked without replacement from {o: 1, a: 1, z: 1}. Give prob of picking 1 o and 1 a. 1/3 Three letters picked without replacement from {d: 3, r: 4, t: 1, p: 3}. What is prob of picking 1 t and 2 d? 1/55 Two letters picked without replacement from eexxdxxebrr. What is prob of picking 1 r and 1 e? 6/55 Two letters picked without replacement from {a: 14, d: 4}. What is prob of picking 2 a? 91/153 Two letters picked without replacement from {e: 2, q: 1, v: 2, w: 1}. Give prob of picking 2 v. 1/15 Four letters picked without replacement from {j: 3, u: 5}. What is prob of picking 2 u and 2 j? 3/7 Calculate prob of picking 2 e and 1 t when three letters picked without replacement from futftftfee. 1/40 Two letters picked without replacement from ddjdjjjjdd. Give prob of picking 1 j and 1 d. 5/9 Three letters picked without replacement from xkxkkarkk. What is prob of picking 1 a and 2 x? 1/84 Calculate prob of picking 1 g, 1 k, and 1 r when three letters picked without replacement from {z: 2, f: 8, r: 1, k: 1, g: 3, l: 2}. 3/680 Three letters picked without replacement from {p: 1, x: 10, j: 3, m: 2}. Give prob of picking 1 p and 2 j. 3/560 What is prob of picking 1 s and 1 g when two letters picked without replacement from zgzszggggzzgzgzggggg? 6/95 What is prob of picking 1 m and 1 o when two letters picked without replacement from mooombmbrobmomtor? 15/68 What is prob of picking 2 z when two letters picked without replacement from {k: 1, a: 2, z: 4, y: 2, u: 10}? 2/57 Three letters picked without replacement from {t: 2, w: 1, m: 2, p: 1, g: 4}. Give prob of picking 1 w, 1 t, and 1 m. 1/30 What is prob of picking 2 f when two letters picked without replacement from {j: 1, f: 3, b: 1, d: 3, n: 5}? 1/26 Three letters picked without replacement from {m: 1, s: 4, f: 7, o: 2, z: 1}. Give prob of picking 1 f and 2 s. 6/65 Three letters picked without replacement from qncnnciiiinnniqnnn. What is prob of picking 1 i, 1 n, and 1 c? 15/136 What is prob of picking 2 z and 1 t when three letters picked without replacement from {z: 4, y: 4, t: 3, i: 4, k: 1, b: 1}? 9/340 Calculate prob of picking 1 x and 1 u when two letters picked without replacement from {u: 3, l: 1, n: 2, i: 2, x: 6}. 18/91 Two letters picked without replacement from jjuxrrurru. What is prob of picking 1 r and 1 j? 8/45 Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {u: 7, c: 5, b: 3, p: 2}. 15/136 What is prob of picking 2 y when two letters picked without replacement from uueuueueuuuyuuyuuuuu? 1/190 Calculate prob of picking 1 r, 1 u, and 1 y when three letters picked without replacement from ffryauay. 1/28 Three letters picked without replacement from lcoslooslosooclochs. What is prob of picking 1 s and 2 c? 4/323 Two letters picked without replacement from jpvjj. What is prob of picking 1 v and 1 j? 3/10 Calculate prob of picking 2 w and 1 n when three letters picked without replacement from jjhccccjwhhjyccnwwnh. 1/190 Three letters picked without replacement from {v: 10}. What is prob of picking 3 v? 1 Two letters picked without replacement from kjjkkkkk. Give prob of picking 2 j. 1/28 What is prob of picking 1 t, 1 x, and 2 c when four letters picked without replacement from htgxqtttcgccgg? 12/1001 What is prob of picking 4 r when four letters picked without replacement from {r: 2, p: 8, z: 1, i: 1, e: 6}? 0 Calculate prob of picking 2 j when two letters picked without replacement from jooooooojo. 1/45 Calculate prob of picking 2 u when two letters picked without replacement from {q: 6, u: 4}. 2/15 Calculate prob of picking 1 n, 2 u, and 1 p when four letters picked without replacement from {p: 1, b: 2, h: 1, r: 4, n: 1, u: 3}. 1/165 Calculate prob of picking 2 o when two letters picked without replacement from ydoowwyywyo. 3/55 Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, g: 10}. 1/66 Calculate prob of picking 1 s and 1 c when two letters picked without replacement from sssc. 1/2 Calculate prob of picking 1 y, 1 e, and 1 z when three letters picked without replacement from yyeyrzyryzy. 4/55 Two letters picked without replacement from hzhohozdhoohohsoh. What is prob of picking 1 s and 1 o? 3/68 Three letters picked without replacement from {y: 3, w: 5, c: 2, e: 3}. What is prob of picking 2 y and 1 c? 3/143 What is prob of picking 1 j, 2 d, and 1 c when four letters picked without replacement from djdjjdddcdj? 2/11 Three letters picked without replacement from fnsfsnsssf. Give prob of picking 1 s and 2 f. 1/8 Calculate prob of picking 1 b and 2 f when three letters picked without replacement from fdfbfbffdfadfq. 3/26 Three letters picked without replacement from xxqxkxxqqkqxkqq. Give prob of picking 2 x and 1 q. 18/91 Calculate prob of picking 3 a and 1 t when four letters picked without replacement from {h: 7, t: 1, a: 6}. 20/1001 Three letters picked without replacement from {c: 1, r: 1, o: 2, y: 2}. What is prob of picking 2 r and 1 o? 0 Four letters picked without replacement from jjicscn. What is prob of picking 1 n, 1 j, and 2 c? 2/35 Two letters picked without replacement from ibisibsivsibvsbpi. Give prob of picking 1 i and 1 v. 3/34 Four letters picked without replacement from {c: 3, d: 5, x: 3, b: 6}. What is prob of picking 2 d and 2 c? 3/238 What is prob of picking 4 d when four letters picked without replacement from daddddddddddd? 9/13 Calculate prob of picking 1 y and 2 n when three letters picked without replacement from yinytivynijninn. 6/91 Two letters picked without replacement from {d: 6, h: 1, i: 8}. What is prob of picking 1 d and 1 i? 16/35 Four letters picked without replacement from aaaaxaxaaaaxaaa. Give prob of picking 3 a and 1 x. 44/91 Three letters picked without replacement from rdwtllu. Give prob of picking 1 u, 1 r, and 1 l. 2/35 Calculate prob of picking 2 j when two letters picked without replacement from mmmjjmmmm. 1/36 What is prob of picking 1 u and 1 o when two letters picked without replacement from julluouzjujlouzuouo? 28/171 What is prob of picking 1 w and 1 i when two letters picked without replacement from ivigiywiwjiyii? 2/13 Calculate prob of picking 1 d, 2 p, and 1 n when four letters picked without replacement from {d: 1, n: 2, l: 1, p: 2}. 2/15 What is prob of picking 2 q when two letters picked without replacement from pmmqqqq? 2/7 Two letters picked without replacement from ccsfmpmk. Give prob of picking 2 m. 1/28 Three letters picked without replacement from {l: 2, v: 2, z: 1}. What is prob of picking 1 z and 2 v? 1/10 What is prob of picking 1 u and 3 d when four letters picked without replacement from ddduud? 8/15 Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {h: 2, c: 2}. 2/3 Three letters picked without replacement from yyduusdyssyydsyyyyy. What is prob of picking 1 u and 2 d? 2/323 Calculate prob of picking 2 d and 2 p when four letters picked without replacement from {p: 9, d: 7, b: 1, z: 2}. 63/323 Calculate prob of picking 2 o and 1 u when three letters picked without replacement from {o: 2, e: 1, d: 2, u: 1, p: 2}. 1/56 Four letters picked without replacement from {u: 1, z: 6, h: 3, m: 2, v: 1, x: 2}. Give prob of picking 3 v and 1 h. 0 Calculate prob of picking 1 l and 1 h when two letters picked without replacement from lhhvhrhhl. 5/18 What is prob of picking 1 o and 1 m when two letters pi
{ "pile_set_name": "DM Mathematics" }
7992 - 2906.8. Let s = 20 - h. Round s to 4 decimal places. 0.0008 Suppose -146610 = 3*v - 8*v. Let x = 63422 - v. What is x rounded to the nearest 1000? 34000 Let o = -20.8 - 1.7. Let v = o + 22.50000333. What is v rounded to six decimal places? 0.000003 Let s = -0.9 - 3.9. Let l = -5.29915 + 0.50855. Let h = l - s. What is h rounded to 3 decimal places? 0.009 Let l be 3390582/(-24) - 1/(-4). Let b = -290274 - l. Round b to the nearest ten thousand. -150000 Let k = 938.00000387 - 938. Round k to seven dps. 0.0000039 Let p(w) = -50*w - 247. Let i be p(-5). Round i to the nearest 10. 0 Let l be (-4)/6*-2*3/(-2). Let p be l + 1/((-12)/3688)*-423. Round p to the nearest ten thousand. 130000 Let l = 227.51227 - 227.5. What is l rounded to 3 dps? 0.012 Let k(w) = 4*w - 23. Let y be k(20). Suppose y*z = 63*z - 31200000. Round z to the nearest 1000000. 5000000 Suppose -28*m + 23*m = -539500. Round m to the nearest ten thousand. 110000 Let k = -18.6319 + 18.53. Let h = k - -0.1. What is h rounded to 3 decimal places? -0.002 Let u = 0.068 + -28.268. Round u to the nearest ten. -30 Let k = -3.25 + -0.05. Let b = 140695.30021 + -140692. Let c = b + k. What is c rounded to four dps? 0.0002 Let k = -332.000000542 + 332. Round k to seven decimal places. -0.0000005 Let l = -398 - -398.149. Round l to two dps. 0.15 Let x = 88 + -97.39. What is x rounded to zero decimal places? -9 Let y = 1759.000000714 - 1759. Round y to 6 dps. 0.000001 Let a = -1.15 + 1. Let h = -0.1028743 + -0.0471212. Let y = h - a. What is y rounded to six decimal places? 0.000005 Let q = 14104.7001 + -14103. Let d = -1.647 + -0.053. Let c = q + d. What is c rounded to 3 decimal places? 0 Let j = 0.58 - 1.42. Let i = 9.54 + j. Round i to zero decimal places. 9 Let q = 103.818 - 104. Let a = -0.028 + q. Let s = 1.1 + a. What is s rounded to one decimal place? 0.9 Let o be (1*(-72)/20 - -3)*5. Let h be -2 - (2599*-1 + o). What is h rounded to the nearest 1000? 3000 Let q(d) = 4632*d**3 - 8*d**2 - 3*d + 17. Let p be q(3). Let c be (6/8)/((-1)/(-4)). Let u be p*(c + (4 - 27)). What is u rounded to the nearest one million? -3000000 Let v = 0.244 - -21.956. Round v to the nearest integer. 22 Let z = -0.06 + 2.26. Let b = 2.3 + z. What is b rounded to the nearest integer? 5 Let h(s) = s**2 + 3*s + 2. Let m be h(-2). Suppose -g = -2*t - 21934 + 81940, 2*g + 4*t + 119988 = m. What is g rounded to the nearest one hundred thousand? -100000 Let d = -0.2139994028 - -0.214. Round d to 7 dps. 0.0000006 Let s = -147874 - -46874. Round s to the nearest ten thousand. -100000 Let z(v) = 9*v**2 + 51*v - 26. Let s be z(36). Let j be 4/(-18) - (-120136)/18. Let i = s - j. Round i to the nearest one thousand. 7000 Let n = -2081 - -91418. Let g = -1337 + n. What is g rounded to the nearest 10000? 90000 Let r = -0.444 + 0.44877. Round r to 4 dps. 0.0048 Let h = 15.69903193 - 98.69902503. Let d = h - -83. What is d rounded to six dps? 0.000007 Let f = 2.77 + -178.77. Let l = -176.0253 - f. Round l to three decimal places. -0.025 Suppose 0 = -0*r + 3*r - 60. Suppose 3*v + g + 0*g = 143984, -5*v + 239970 = 5*g. Let h be (-1)/(-4) + v/r. Round h to the nearest one thousand. 2000 Let t be ((-31298)/8)/((-1)/(-8)). Let w = t - 5702. Round w to the nearest 10000. -40000 Let a = 6.9 + -7. Let g = 3.9 - a. Let k = -4.00005 + g. What is k rounded to 4 dps? -0.0001 Let m = -12 + 6. Let w = -5.39 - m. What is w rounded to one dp? 0.6 Let l be (-1)/(-2)*8/(4/4). Suppose l*v + 0*v = -160. Round v to the nearest ten. -40 Let l = 1980.000014 - 1980. What is l rounded to five dps? 0.00001 Let h(i) = 452*i**3 - 8*i**2 + 12*i - 8. Let t be h(8). Suppose 0 = -10*r - r - t. What is r rounded to the nearest 10000? -20000 Let t = -0.4204047 - -0.4206. What is t rounded to five dps? 0.0002 Let p(i) = 152800*i**2 + 3*i + 15. Let h be p(-5). Round h to the nearest 100000. 3800000 Suppose 5*z + 646 = -5*i + 6336, 0 = 4*z - 12. What is i rounded to the nearest 10? 1140 Let v = -3753.9955 - -3736. Let u = -109 - -91. Let l = v - u. What is l rounded to 3 dps? 0.005 Let f = 82.99999725 - 83. Round f to six decimal places. -0.000003 Let v = 44531234 + -88860224. Let w = v - -44329037.700217. Let o = 47.7 - w. Round o to 5 decimal places. -0.00022 Let q = -0.32399998 + 0.324. What is q rounded to 7 decimal places? 0 Let p = 23.6 + -23. Let c = p - 0.5925. What is c rounded to 3 decimal places? 0.008 Suppose 0 = 3*g + 5408669 + 2548765. Let f = g + -4477522. What is f rounded to the nearest 1000000? -7000000 Let k = -4.3 - -122.3. Let h = -178.6 + k. What is h rounded to the nearest 10? -60 Let k = 67.8 - 21.2. Let w = 51 - k. Let m = 4.40000095 - w. What is m rounded to seven decimal places? 0.000001 Let z = 24 + -21. Let i = 3 + z. Suppose 60 = i*p - 2*p. What is p rounded to zero dps? 15 Let l = 702 + -854.8. Let d = 136 + l. Let c = 15 + d. What is c rounded to the nearest integer? -2 Let k = 48 + -47.962. Let n = 4.562 + k. Let f = n - 4.600057. What is f rounded to five dps? -0.00006 Let d be 10/(-4)*36/30. Let f be d + (1 + -3)/(-2). Let q be 70/(4/184*f). What is q rounded to the nearest 100? -1600 Let h = -460.2 + 460.192446. What is h rounded to 4 dps? -0.0076 Let w = -1012 - -656. Let j = -175 - w. Let f = j + -180.9834. What is f rounded to three dps? 0.017 Let n = -16 - -26. Suppose c = n*c - 540. What is c rounded to the nearest ten? 60 Let y = 2.4 - 4.2. Let j = y - -2.1. Round j to 1 dp. 0.3 Let b = -8.09 - -8.0900000652. Round b to 7 decimal places. 0.0000001 Suppose -5*y - 32291 = 3*a, y + 9*a + 6448 = 5*a. What is y rounded to the nearest 100? -6500 Suppose 3*u - 4*t + 5 = 6, -2*t - 25 = -5*u. Suppose 82272 + 491728 = u*k. What is k rounded to the nearest one hundred thousand? 100000 Let x = -329 + 329.0000187. What is x rounded to five dps? 0.00002 Let p = 20.29 + -19.3. What is p rounded to 1 dp? 1 Let t(d) = d**3 + 8*d**2 + 7*d - 4. Let r be t(-7). Let v be 9/12 + 0 - (-5120003)/r. Round v to the nearest one hundred thousand. -1300000 Let d = -468 + 468.000000325. What is d rounded to 7 decimal places? 0.0000003 Suppose 160200 + 64776 = 3*s. Suppose -2*x - 2*r = -26894 - 3098, -2*r = 5*x - s. What is x rounded to the nearest ten thousand? 20000 Let o = -0.0027694 + -0.0309907. Let s = -13.9661199 + o. Let v = s + 14. Round v to four decimal places. 0.0001 Let d = 3.2 + -4. Let h = d - 0.1. Let p = 0.935 + h. What is p rounded to two dps? 0.04 Let m = 24.6 - 41.3. Let b = m + -69.3. Let n = -75.3 - b. What is n rounded to the nearest integer? 11 Let n = 8 - 2.5. Let m = n + -4.3. What is m rounded to the nearest integer? 1 Let y = 298 + -297.9999821. Round y to 5 decimal places. 0.00002 Let h = -142.941 + 143. Let i = h - 0.04. Round i to two decimal places. 0.02 Let t = 406.000595 - 406. Round t to four dps. 0.0006 Let y = -42.6244 + -16.962. Let h = -0.0136 + y. What is h rounded to the nearest 10? -60 Let n be (-14)/(-21)*(4 + -1). Let j be 9/n*20/30. Suppose r + 135 - 10 = 4*y, -j*y - 3*r = -90. What is y rounded to the nearest ten? 30 Let n(a) = 1310*a - 6. Suppose -3*d + 4 = 13. Let m be n(d). Let i = m - -1336. Round i to the nearest one thousand. -3000 Let p = 5242637.4216131 - 5242633. Let i = p + -4.12161323. Let y = -0.3 + i. What is y rounded to 7 decimal places? -0.0000001 Let c = 617 - 616.494. What is c rounded to one decimal place? 0.5 Let u = 17.39 + 1.11. Let l = u - 18.226. What is l rounded to two decimal places? 0.27 Let c = 0.1 + 0.03. Let h = 212 + -213.21. Let r = h - c. Round r to 1 decimal place. -1.3 Let h = -0.9 + -1. Let o = 3.3 + h. Round o to one decimal place. 1.4 Let j = -1 - 0.6. Let v = j + 51.6. Let l = 49.9999868 - v. Round l to 6 dps. -0.000013 Let g = -26 + 25.7. Let m = -0.297 - g. Round m to 2 dps. 0 Let n = -33344 - -33253.148. Let i = -9 + 100. Let g = i + n. Round g to two dps. 0.15 Let j = 319.6739757 + -0.0129757. Let w = -320 + j. Round w to 1 decimal place. -0.3 Let f(o) be the second derivative of 23*o**4/6 + o**3/6 - o**2/2 - 10*o. Let z be f(-1). Round z to the nearest ten. 40 Let r = 0.7 - 14.7. Let u = 2859 + -2873.0034. Let d = u - r. What is d rounded to 3 dps? -0.003 Let o = -1282 - -1280.799. Let l = -66 + 67.2. Let v = o + l. What is v rounded to 3 dps? -0.001 Le
{ "pile_set_name": "DM Mathematics" }
3 Let y(n) = 2*n**2 - 250*n - 251. Give y(-1). 1 Let u(k) = 227*k + 2509. Calculate u(-11). 12 Let h(t) = 108*t - 433. Give h(4). -1 Let s(b) = -27*b - 1989. Determine s(-67). -180 Let c(o) = 334*o - 76. Calculate c(-1). -410 Let y(p) = 159*p**3 + 478*p**2 - p + 5. Calculate y(-3). 17 Let j(x) = -83*x + 1672. Calculate j(20). 12 Let n(m) = -10*m**2 - 13*m + 214. What is n(-10)? -656 Let o(k) = -5*k**3 + 147*k**2 - 61*k + 106. What is o(29)? 19 Let a(g) = g**2 + 125*g + 3552. Determine a(-81). -12 Let t(r) = r**2 - 72*r + 233. Give t(68). -39 Let q(x) = -20*x**2 - 9*x + 14. What is q(2)? -84 Let g(s) = -s**3 - 12*s**2 - 30*s - 29. Determine g(-9). -2 Let k(l) = -37*l - 125. Calculate k(-2). -51 Let p(d) = -525*d - 37. What is p(0)? -37 Let j(u) = -u**2 + 204*u + 14558. Give j(-56). -2 Let p(j) = -j**3 - 18*j**2 + 4*j + 40. Give p(-18). -32 Let w(x) = x**3 - 46*x**2 - 2*x + 97. Give w(46). 5 Let a(y) = 12*y + 374. Determine a(-33). -22 Let c(u) = 49*u**3 + 2*u**2 - 4*u. Give c(-2). -376 Let h(i) = 5*i**2 - 103*i - 23. Determine h(21). 19 Let a(l) = 451*l - 4248. What is a(9)? -189 Let m(d) = d**3 - 16*d**2 - 83*d + 44. What is m(20)? -16 Let k(d) = d**2 + 71*d - 626. Calculate k(8). 6 Let q(t) = 3*t**3 + 31*t**2 + 35*t - 12. Give q(-9). -3 Let p(u) = u**2 - 13*u + 46. Determine p(3). 16 Let x(g) = 3*g**2 - 49*g - 21. Calculate x(0). -21 Let r(f) = -f**3 - 11*f**2 - 41*f + 55. Give r(-7). 146 Let r(i) = -2*i**3 + 13*i**2 + 26*i - 3. Give r(8). 13 Let u(z) = z**3 + 71*z**2 - 72*z + 2. What is u(-72)? 2 Let r(l) = 9*l**2 - 640*l - 1248. Calculate r(73). -7 Let a(w) = 11*w**2 - 14*w - 12. Determine a(5). 193 Let y(q) = -q**3 - 27*q**2 + 15*q + 38. Give y(-28). 402 Let x(j) = -4*j**3 - 31*j**2 + 36*j - 65. Give x(-9). 16 Let n(x) = x**2 - 4*x - 731. Determine n(-25). -6 Let l(o) = -22*o + 2705. Give l(120). 65 Let k(p) = 5*p**2 + 36*p - 32. What is k(-8)? 0 Let b(n) = n**2 + 35*n - 66. Give b(-39). 90 Let b(y) = -2*y**3 - 191*y**2 - 94*y + 130. Determine b(-95). 35 Let c(x) = 815*x - 19565. Determine c(24). -5 Let m(z) = -z**2 - 20*z + 111. Give m(-23). 42 Let o(m) = -m**3 - 2*m**2 - 460*m + 4. Calculate o(0). 4 Let g(w) = 8*w**2 - 71*w + 136. What is g(6)? -2 Let j(n) = 42*n + 554. Calculate j(-11). 92 Let b(j) = 2*j**2 + 23*j - 12. Calculate b(-4). -72 Let r(q) = q**3 - 2*q**2 - 5*q + 25. Give r(6). 139 Let h(j) = -2*j**2 + 51*j - 307. Calculate h(14). 15 Let j(k) = k**3 - 20*k**2 - 306*k - 46. Calculate j(-10). 14 Let f(h) = 30*h**2 + 300*h - 10. What is f(-10)? -10 Let i(w) = -67*w**2 + 1077*w - 55. What is i(16)? 25 Let g(q) = -762*q + 9. What is g(0)? 9 Let m(d) = 9*d**2 - 95*d - 170. What is m(12)? -14 Let y(d) = d**3 + 7*d**2 + 75*d + 386. Calculate y(-6). -28 Let h(u) = 2*u**3 + 4*u**2 - 7*u - 42. Calculate h(-4). -78 Let a(v) = 7*v**2 + 58*v - 819. Calculate a(11). 666 Let y(s) = -3*s**2 + 15*s - 6. Calculate y(4). 6 Let o(y) = 16*y + 368. Give o(-21). 32 Let o(q) = 3*q**3 - 42*q**2 - 17*q + 224. Calculate o(14). -14 Let q(k) = -85*k + 635. What is q(7)? 40 Let g(q) = 170*q**2 + 42*q - 41. Give g(1). 171 Let h(l) = -10*l**2 + 446*l - 4031. What is h(32)? 1 Let c(z) = 87*z + 6437. What is c(-74)? -1 Let f(m) = -17*m**2 - 87*m + 96. Give f(-6). 6 Let x(u) = -u**3 - 33*u**2 + 40*u + 235. What is x(-34)? 31 Let w(p) = -p**2 + 457*p - 5782. What is w(13)? -10 Let v(d) = -5*d - 158. Give v(-26). -28 Let a(p) = 2*p**3 - 51*p**2 + 32*p - 139. Determine a(25). 36 Let c(j) = j**3 + 33*j**2 - 39*j + 8. Calculate c(-34). 178 Let j(r) = -r**3 - 259*r**2 + 8038*r + 581. Calculate j(-287). 7 Let w(u) = -6*u**2 - 45*u + 3. Calculate w(-7). 24 Let w(l) = -48*l - 1200. Determine w(-36). 528 Let l(u) = -u**3 - 32*u**2 + 71*u + 4. What is l(-34)? -98 Let t(q) = -q**2 + 150*q - 1876. Determine t(13). -95 Let c(j) = -j**2 - 21*j + 85. Determine c(-26). -45 Let a(z) = 3*z - 23. Give a(10). 7 Let t(i) = -4*i**2 + 436*i - 426. What is t(108)? 6 Let f(m) = -1112*m - 48939. Calculate f(-44). -11 Let w(k) = k**3 - 15*k**2 - 32*k + 82. Determine w(12). -734 Let k(p) = 6*p**3 - 543*p**2 - 271*p - 177. Determine k(91). 5 Let p(l) = l**3 - 29*l**2 + 201*l - 50. Give p(18). 4 Let m(z) = z**3 - 35*z**2 + 66*z + 25. Determine m(33). 25 Let y(i) = 1395*i - 5626. What is y(4)? -46 Let y(t) = 2*t + 1. Calculate y(-2). -3 Let i(r) = 2*r**2 + 12*r + 1. Determine i(-2). -15 Let z(y) = 7*y**2 - 79*y - 8. Calculate z(12). 52 Let r(s) = -47*s + 2076. Give r(45). -39 Let q(n) = 67*n - 2547. Determine q(38). -1 Let n(l) = -l**2 - 31*l - 47. Determine n(-9). 151 Let a(b) = 1139*b - 51259. Determine a(45). -4 Let n(p) = 47*p - 1333. Calculate n(30). 77 Let p(c) = 2*c**3 - 27*c**2 - 25*c + 143. What is p(14)? -11 Let w(b) = -2*b**3 + 44*b**2 + 36*b + 156. What is w(23)? -74 Let z(a) = 2*a**3 + 5*a**2 - 3*a + 40. Calculate z(-4). 4 Let d(k) = 3*k**3 + 72*k**2 - 12*k - 248. Calculate d(-24). 40 Let c(a) = -a + 83. Calculate c(-37). 120 Let p(x) = 31*x + 1226. Calculate p(-45). -169 Let z(v) = -303*v + 3024. Determine z(10). -6 Let g(p) = -4*p**3 + 40*p**2 - 4*p - 16. What is g(10)? -56 Let a(l) = -5*l**2 - 46*l + 560. Give a(7). -7 Let q(l) = 3*l**2 + 61*l + 311. Give q(-10). 1 Let c(z) = -z**2 + 36*z - 90. What is c(31)? 65 Let j(q) = 5*q**2 - 48*q - 152. Calculate j(12). -8 Let l(s) = -s**3 + 6*s**2 - 2*s - 10. Determine l(2). 2 Let q(o) = o**2 + 12*o - 1727. Give q(36). 1 Let n(w) = w**3 - 8*w**2 + 8*w + 26. What is n(6)? 2 Let b(z) = -z**2 - 26*z - 16. Determine b(-26). -16 Let x(k) = k**3 - 19*k**2 + 23*k - 2. What is x(15)? -557 Let k(o) = 2*o**3 - 14*o**2 + 3*o + 71. What is k(5)? -14 Let s(r) = -3*r**2 + 59*r - 300. Determine s(14). -62 Let f(z) = -81*z**2 + 9*z - 3. Calculate f(1). -75 Let g(d) = -d**3 + 86*d**2 + 97*d - 657. What is g(87)? 213 Let l(j) = -j**2 + 184*j - 775. Determine l(4). -55 Let o(t) = -32*t - 264. Determine o(-12). 120 Let z(r) = -91*r - 742. Calculate z(-8). -14 Let w(y) = y**2 - 673*y + 2672. Give w(4). -4 Let f(n) = 5628*n - 39403. Determine f(7). -7 Let u(j) = -10*j**2 + 82*j + 3. Calculate u(8). 19 Let x(v) = -v**3 - 56*v**2 - 106*v + 136. Give x(-54). 28 Let k(x) = -15*x - 325. Determine k(-22). 5 Let o(y) = -2*y**2 + 4*y + 22. Determine o(13). -264 Let g(b) = 304*b - 514. Calculate g(2). 94 Let p(q) = -108*q - 433. Give p(-4). -1 Let u(g) = 4*g**2 + 151*g - 45. What is u(-38)? -7 Let u(i) = -220*i + 4. Determine u(1). -216 Let p(m) = 21*m**3 + 5*m**2 + 12*m + 19. Determine p(-3). -539 Let t(f) = -49*f - 460. Calculate t(-15). 275 Let w(v) = -20*v + 56. What is w(4)? -24 Let s(p) = 9*p**3 - 29*p**2 + 3*p - 3. Give s(3). -12 Let p(s) = -6*s**3 + 21*s + 104. Determine p(-4). 404 Let g(k) = 5*k**3 + 12*k**2 - 82*k - 202. Determine g(-2). -30 Let g(u) = 3*u**3 + 5*u**2 - 12*u - 39. Calculate g(-5). -229 Let j(s) = 2*s**2 - 203*s + 533. Calculate j(99). 38 Let b(v) = -v**3 - 20*v**2 + 430*v + 17. Calculate b(-33). -16 Let g(n) = 327*n + 37598. Determine g(-115). -7 Let a(p) = 53*p - 366. Determine a(6). -48 Let s(w) = w**2 + 294*w - 891. Calculate s(3). 0 Let m(z) = 2*z**3 + 9*z**2 - 84*z - 21. Give m(-9). 6 Let l(h) = h**3 - 14*h**2 + 7*h + 64. Determine l(13). -14 Let o(k) = 3*k - 159. Determine o(31). -66 Let m(h) = 23*h**3 - 1013*h**2 + 45*h - 27. Calculate m(44). 17 Let b(t) = t**2 - 886*t + 9624. What is b(11)? -1 Let p(z) = -z**2 - 11*z + 435. Calculate p(-27). 3 Let j(b) = 2*b**2 + 117*b - 71. What is j(-59)? -12 Let i(j) = -505*j + 6576. Determine i(13). 11 Let p(s) = 84*s**3 - 91*s**2 + 11*s - 6. Calculate p(1). -2 Let u(x) = -x**2 + 102*x - 1646. Determine u(20). -6 Let k(q) = 30742*q + 92232. Calculate k(-3). 6 Let s(f) = -325*f + 1769. Give s(5). 144 Let o(w) = -9*w**3 - 388*w**2 - 35*w + 343. Calculate o(-43). -1 Let q(z) = -838*z + 15922. What is q(19)? 0 Let m(v) = -235*v + 2615. Calculate m(11). 30 Let q(c) = -5*c**2 - 4*c - 30. Give q(-4). -94 Let o(z) = 23*z**2 - 11*z - 11. Determine o(-1). 23 Let z(a) = a**3 - 54*a**2 - 51*a - 281. What is z(55)? -61 Let g(f) = f**3 + 6*f**2 - 4853*f - 29126. Determine g(-6). -8 Let m(n) = -2*n**3 + 23*n**2 - 2*n + 101. What is m(12)? -67 Let u(r) = r**3 - 34*r**2 - 5*r + 164. Give u(34). -6 Let c(v) = -86*v - 282. Give c(-2). -110 Let t(w) = -158*w + 1312. Calculate t(8). 48 Let z(d) = 2*d**3 - 7*d**
{ "pile_set_name": "DM Mathematics" }
Simplify ((v/(v**(1/7)/v))/v*v)/(v*v/v**8) assuming v is positive. v**(55/7) Simplify ((k**6)**(-4/7))**12 assuming k is positive. k**(-288/7) Simplify (k/(k/k**(-4/3))*k)/(k**6/k) assuming k is positive. k**(-16/3) Simplify ((((r*r/r**(2/5))/r)/r)/r*r/((r/r**(2/5))/r))/(r**(-1)/(r**0/r)) assuming r is positive. 1 Simplify (b**(-11))**(2/23) assuming b is positive. b**(-22/23) Simplify (m*m*m*m**(1/4)*m*m)/m**(-9/2) assuming m is positive. m**(39/4) Simplify (u/u**(-9/4))/u**4 assuming u is positive. u**(-3/4) Simplify (h*h**(-1)*h)**(1/27)/((h**(-5)/h)/(h**(-3/8)*h)) assuming h is positive. h**(1439/216) Simplify (c/(c/(c*c*c*c/(c/(c*c**(-7/3)*c))*c)))/(c*c*c**20) assuming c is positive. c**(-55/3) Simplify k**(-4)/k*k*k**(-1)*(k/(k*k*k**(5/6)))/((k**6*k)/k*k) assuming k is positive. k**(-83/6) Simplify d**(-6/11)*d**28/d*d assuming d is positive. d**(302/11) Simplify n**(-17)/(n/n**3) assuming n is positive. n**(-15) Simplify q**22*q/q**(1/19) assuming q is positive. q**(436/19) Simplify (s*s/s**(-2))**12/((s**(-3/2)/s)/(s**4*s)) assuming s is positive. s**(111/2) Simplify w**(3/5)/(w**(-6/7)/w*w)*w**3*w**(-1/8) assuming w is positive. w**(1213/280) Simplify ((o/o**5)/o**(10/7))**(-42) assuming o is positive. o**228 Simplify ((x**(-1/2)*x)/x)**46 assuming x is positive. x**(-23) Simplify (x/(x/x**(-33)*x)*x)/(x/x**40) assuming x is positive. x**6 Simplify p*p**(-12/5)*p/(p/(p*p**16*p)*p) assuming p is positive. p**(78/5) Simplify (c/c**(4/11)*c)**(-2/91) assuming c is positive. c**(-36/1001) Simplify (w/w**(-1/10))**(-48) assuming w is positive. w**(-264/5) Simplify ((p/((p**(-1/2)*p)/p*p)*p)/p)**8 assuming p is positive. p**4 Simplify ((c**(-1/2)/c)**29)**15 assuming c is positive. c**(-1305/2) Simplify (m**(1/8)/(m/m**0*m*m))/(((m*m**(-1/2))/m)/m)**4 assuming m is positive. m**(25/8) Simplify (b**(2/3)*b**(-6))/((b/((b/(b/b**(-2/5)*b)*b)/b))/b)**(-3/40) assuming b is positive. b**(-3137/600) Simplify (j*j**35)**21 assuming j is positive. j**756 Simplify m**14*m*((m/(m/(m/(m/(m**(2/17)/m)*m)*m)))/m)/m assuming m is positive. m**(206/17) Simplify ((b*b**(7/5)/b)/b)/((b*b/(b**(-18)*b))/b) assuming b is positive. b**(-88/5) Simplify (u**(2/19)/u**4)/(u*u/(u**1*u))**5 assuming u is positive. u**(-74/19) Simplify (y*y**(-19))/(y*(y/y**(26/5))/y*y) assuming y is positive. y**(-74/5) Simplify (t*t/(t**0/t*t)*t*t*t*t)**(-14)*(t*t/(t**(-2/3)*t))**27 assuming t is positive. t**(-39) Simplify ((v*v*v/(v**(2/35)*v))/(v*v/(v/((v/(v*v*v**15))/v))))**27 assuming v is positive. v**(16956/35) Simplify (f**(-5)*f*f**(-5))/((f*f**2)/f*f**5) assuming f is positive. f**(-16) Simplify ((j*j**(-4)*j)/(j**(-1/3)/j))/((j/j**(-1))/j)**(2/7) assuming j is positive. j**(-20/21) Simplify (t/(t*t/(t*(((t**7*t*t)/t)/t)/t)))/(t**(-1)/t)*(t*(t/(t**(2/7)/t))/t)**(-3/2) assuming t is positive. t**(38/7) Simplify (c/c**(-2))/c*c**(-3/8) assuming c is positive. c**(13/8) Simplify (g*g*g**(2/11)*g)/g**5*(g*g**(-2/9))/g*g**2 assuming g is positive. g**(-4/99) Simplify (n*n**(-1/4))**(1/7) assuming n is positive. n**(3/28) Simplify (d*(d**2/d)/d*d)**(-31)*d**4/(d**8/d) assuming d is positive. d**(-65) Simplify (g/g**(4/21))/((g/(g**(-22)/g))/g) assuming g is positive. g**(-466/21) Simplify (t*t/t**6*t/(t**5/t*t))**(-7/10) assuming t is positive. t**(28/5) Simplify (c/((c/c**(-7))/c))/(c*c**(-5/2))*(c**(2/5))**(-1/5) assuming c is positive. c**(-229/50) Simplify s**(27/7)*(s*s**(3/8))/s assuming s is positive. s**(237/56) Simplify (b**(-6)*b/b**(-4/7)*b)/(b**(1/2)/b)**(-1) assuming b is positive. b**(-55/14) Simplify f/(f/(f/(f*f/f**5)))*f*f**(-3) assuming f is positive. f**2 Simplify c*c**(2/15)*c*c*c**(2/11)/c*(c/(((c/((c**3*c)/c*c)*c)/c)/c))/(c**(-2/11)/c*c) assuming c is positive. c**(1237/165) Simplify f**6*f**(-1) assuming f is positive. f**5 Simplify (z**(-2/19)/z)**12 assuming z is positive. z**(-252/19) Simplify ((d/(d/(d/d**1*d*d)*d))**(-37))**(-6/5) assuming d is positive. d**(222/5) Simplify (g**4/g)/g**(-8/7) assuming g is positive. g**(29/7) Simplify (p/(p*(p*p*p**(-6))/p)*p**(-4))/(p*p**0*p*p)**43 assuming p is positive. p**(-128) Simplify y**(-23)*y/y**(-19) assuming y is positive. y**(-3) Simplify (m**0)**7*((m*m**(-1/4))/m*m)**(-22) assuming m is positive. m**(-33/2) Simplify ((m*m**(-24))/m)**(5/2) assuming m is positive. m**(-60) Simplify (g**8/(g*g**(2/27)))/(g**(2/7))**23 assuming g is positive. g**(67/189) Simplify ((y**(2/27)*y)/y*y)**14 assuming y is positive. y**(406/27) Simplify (((b*b**(-1/19))/b)/b)/(b*b**29) assuming b is positive. b**(-590/19) Simplify (y**7)**(8/17) assuming y is positive. y**(56/17) Simplify ((f/(f/(f*f/(f*f*f/(f/(f*f**19)*f))*f)))/f)/(f*f**4) assuming f is positive. f**(-24) Simplify (c**(-5)/c**(-7))/((c/(c**(-4)/c))/(c*c/c**3)) assuming c is positive. c**(-5) Simplify (y**(-8))**(2/27) assuming y is positive. y**(-16/27) Simplify (d**1)**(-1/31)/(d**(-5)*d*d**(-8)) assuming d is positive. d**(371/31) Simplify (g/(g/(g**6/g))*g)**(-42) assuming g is positive. g**(-252) Simplify (((j/((j/(j/j**4*j))/j))/j)/(j*j**(-19)*j))**(-13) assuming j is positive. j**(-195) Simplify ((n/(n/(n*n*n**(4/11))))/n*n*n/n**(-9/8))**(-23) assuming n is positive. n**(-9085/88) Simplify d**(-2/29)*d*d**(4/3) assuming d is positive. d**(197/87) Simplify ((p/(p*p**(-1)))/p)/p**(-2/3)*p**(-1/3)*p/p**(1/3) assuming p is positive. p Simplify ((b/(b*b**(-25)))/b)**(-1/40) assuming b is positive. b**(-3/5) Simplify (i**(-1/2))**(-14)*i/((i**(-5/3)/i)/i*i)*i**10 assuming i is positive. i**(62/3) Simplify (b**1)**(-10)*(b/(b/b**(-3/8)))/b**4 assuming b is positive. b**(-115/8) Simplify (z**6/z)/(z/(z/z**(-1/6)))*((z**(1/5)/z)/z)**(-13) assuming z is positive. z**(857/30) Simplify (j*(j/(j**(-2/9)/j))/j*j*j*j/j**(-1/3)*j)/(j/j**(-2/7))**(2/9) assuming j is positive. j**(395/63) Simplify (l*l**(-2/5)*l*l*l**(-3/8))**38 assuming l is positive. l**(1691/20) Simplify (((y/(y**(1/2)*y))/y)/y**(-1/7))**(-37) assuming y is positive. y**(703/14) Simplify v*v/(v**(-27)*v)*v/v**(-32) assuming v is positive. v**61 Simplify (((h/h**(-3))/h)/(h/h**0))/(h*h**1)**11 assuming h is positive. h**(-20) Simplify (g*g/(g*g**(2/9))*g*g*g*g**(-2/11)*g)/((g/(g*g**4))/g**1) assuming g is positive. g**(950/99) Simplify (k*k*k**(-1/8)*k*k**(2/15))**2 assuming k is positive. k**(361/60) Simplify (l*(l*l*l**(2/11)/l)/l)/(l*l*l*l*l**(-23)/l) assuming l is positive. l**(233/11) Simplify (l**(1/4)*((l*l/(l/(l/(l*l**3))))/l)/l)**12 assuming l is positive. l**(-45) Simplify (h**(-1)*h/(h*h**0)*h)/(h**(3/4)/h**4) assuming h is positive. h**(13/4) Simplify ((d**(1/4))**0)**(-24) assuming d is positive. 1 Simplify m/m**(-1/5)*m*m**(-4)/m assuming m is positive. m**(-14/5) Simplify (((w/w**(-2))/w*w)/w)/w*w*w*w**(-15) assuming w is positive. w**(-12) Simplify (y**(-2/7))**(-1/6)*(y**0)**(-1/3) assuming y is positive. y**(1/21) Simplify (m*(m/(m*m**(-13)))/m*m)**(-34/3) assuming m is positive. m**(-476/3) Simplify (s/s**(-2/3)*s**(-1/4))/((s*s**1*s)/s**(-7)) assuming s is positive. s**(-103/12) Simplify (v**(1/8)/(v/(v/(v*v/(v/(v**(1/4)*v))))))**(-2/39) assuming v is positive. v**(17/156) Simplify z/((z*z/(z/z**(-10/7)*z))/z)*z**(-2) assuming z is positive. z**(10/7) Simplify (s**(-2/5))**(-24/11)*s/(s*s*(s/(s*s**(-5)/s*s))/s*s*s)*(s/(s*s**(-5)*s))/s assuming s is positive. s**(-172/55) Simplify (i**2/(i*i**(-2/19)))**(-24) assuming i is positive. i**(-504/19) Simplify (((t*t**7)/t)/t)**(-17) assuming t is positive. t**(-102) Simplify (l**(1/4))**(1/2)/(l/((l/(l/(l/(l/l**7))*l))/l)*l*l**(-4)) assuming l is positive. l**(57/8) Simplify ((k**(-4/27)*k)/k)/(k**(15/4)*k) assuming k is positive. k**(-529/108) Simplify (b**(-8)*b)/(b*b/(b*b/(b*b**(-2/9)))) assuming b is positive. b**(-70/9) Simplify (i**2*i**0*i)/((i*i**(4/3))/(i*i**(-2/27)*i*i)) assuming i is positive. i**(97/27) Simplify (p*p/((p/(p/p**(-18/11)))/p)*p)/p*p**16/p assuming p is positive. p**(216/11) Simplify x**32*x*((x*x**(3/4)/x)/x)/x*x assuming x is positive. x**(131/4) Simplify a*a**(9/4)*a**(-19) assuming a is positive. a**(-63/4) Simplify (q/(q**(-13)/q))/(q*q**6*q) assuming q is positive. q**7 Simplify (m**(-2))**49/(m**2)**(34/3) assuming m is positive. m**(-362/3) Simplify (y/y**(-20))/y*y**(-9) assuming y is positive. y**11
{ "pile_set_name": "DM Mathematics" }
.14. What is the second smallest value in n, 0.1, u? 0.1 Suppose 2*z = -2*z + 28. Suppose -3*o - 36 = -z*o. Let u be ((-3)/o)/((-5)/(-3)). Which is the biggest value? (a) u (b) 0 (c) -0.5 b Let a = 7 - 4. Let n = 0.8 + -1. Let t = 0.08 - 0.18. What is the third biggest value in t, a, n? n Let x = -0.04 - 3.96. Which is the biggest value? (a) x (b) 2/7 (c) 1 c Let w = 16 + -14. Which is the smallest value? (a) 1 (b) w (c) -2 c Let m = -47 + 46.6. Which is the biggest value? (a) -2 (b) 2/3 (c) -4/7 (d) m b Let f = -200 - -198. What is the biggest value in f, -1, -12, -0.4? -0.4 Let y = 0.02 + 0.98. Which is the second smallest value? (a) y (b) 2 (c) 3/4 a Let d be (-1)/5 + 51/(-45). Which is the third smallest value? (a) d (b) -1 (c) 3 c Suppose -2*a + 16 = 3*j - 4*j, 38 = 3*a - 5*j. What is the biggest value in 3, a, 0, 0.2? a Let k be (-14)/8*6/(-28). Let a(t) = t**2 - 7*t - 3. Let n be a(7). What is the biggest value in k, n, -0.08? k Let t = -31/33 - -14/11. Let m = 0.25 - -0.05. Let w = 18 + -14. What is the biggest value in w, m, t? w Let o be 1 + (-148)/28 - -4. Which is the biggest value? (a) o (b) 1 (c) 3 c Let v be (6/10)/(12/8). Which is the second biggest value? (a) -5 (b) v (c) 1 b Let j = -0.3 - -0.4. Which is the biggest value? (a) j (b) -1/4 (c) -0.1 (d) -0.5 a Let w be (2 - 1) + (-13)/7. Let d be 1*(4 + -2)*-2. Let m = 0 - d. Which is the biggest value? (a) 5 (b) m (c) w a Suppose -2*g = 4 - 10. Which is the third biggest value? (a) 0.12 (b) 2/3 (c) g a Let v = -9.6 + 9.1. Which is the second biggest value? (a) -0.8 (b) v (c) 5 (d) 1/4 d Let h = 0.14 - 0.42. Let t = 0.22 - h. Which is the third biggest value? (a) t (b) -0.4 (c) -2 c Let v = 84 - 80. What is the second smallest value in v, -2, 0, 12/11? 0 Let x be (-54)/70 - 5/(-25). Let y = -1 - -1. Let d be 10/9 - 1 - y. What is the smallest value in 1/8, x, d? x Let w be (-1)/8*4/(-3). Which is the second smallest value? (a) -0.2 (b) w (c) -2/11 c Let n = -1139/9 - -127. Which is the second smallest value? (a) -0.3 (b) -1 (c) n a Let b = -7 - -8. Suppose 2*p = -3*v + b, p = -2*v - 3*p - 2. What is the biggest value in -1, v, -3? v Let p be 2 + (-1 - (-18)/(-14)). What is the biggest value in 1/4, p, 1? 1 Let w = -6 - -6.5. What is the second smallest value in -6, -1, w? -1 Suppose 0*c + 21 = -4*c - 3*f, -2*f = -5*c - 9. Let z be -4 + 6 - (-55)/2. Let m = z - 31. What is the second smallest value in m, c, -0.1? m Let o = -37/55 - -4/55. Let b = -272/1365 + 6/91. What is the biggest value in o, b, 0.1? 0.1 Let x = 21 + -19. What is the second smallest value in 1, x, 0.1, 5/2? 1 Let v = -3.1 + 3. Let x = v + 0. Let n = 11 + -15. Which is the biggest value? (a) -1 (b) n (c) x c Let i = 89/9 - 10. What is the second smallest value in 0.5, -0.5, i, -1? -0.5 Let a = -171 - -1540/9. Let v = -0.01 - -4.01. What is the third smallest value in 3, v, a? v Let n = -93 + 42. Which is the third biggest value? (a) n (b) -1 (c) 4 a Suppose -4*j + 0*j = 8. Suppose 4*g = -2 + 6, -5*c - 5*g = -40. Let y = -4 + c. What is the third smallest value in y, j, 2? y Let z = -635/4 + 158. Let l = 3 - 3.1. What is the second biggest value in z, l, -3? z Suppose -427 = 2*h - 15. Let f = h - -3500/17. Which is the smallest value? (a) -4 (b) -3/4 (c) f a Let q = 0 + -3. Let u be 11/2 - q/6. Let x = -23/4 + u. Which is the second biggest value? (a) 1/6 (b) 3 (c) x c Let i = -46 - -28. Let s = 18 + i. Which is the third smallest value? (a) 2 (b) -2 (c) s a Suppose 3*k + 28 = -5*g, -5*k - 30 = 3*g - 10. Let s = k + -3. Let v be 3/((-81)/21) - -1. Which is the smallest value? (a) s (b) -5 (c) v b Let m = -3 - -3.2. Let o be 3/2*(-8)/(-30). Let g = 3 + 2. What is the third smallest value in o, m, g? g Let l = -55.7 + 56. Let q = -161/3 + 53. What is the smallest value in q, -4/5, l? -4/5 Let p = -24.6 + 21. Let i = 4 + p. Let q = -0.15 + -0.05. Which is the third biggest value? (a) -4 (b) i (c) q a Let z = 10 - 12. Let i = 3.02 + -3. Let s = -0.42 + i. What is the biggest value in 2, z, s? 2 Let s = -2 - -1. Let k = s - -1.1. Which is the third biggest value? (a) -1 (b) -5 (c) k b Let d be (-18)/16*4/3. Let s be 0/2 + -1 + -2. Suppose 2*m - f + 4*f + 19 = 0, 2*m + 5*f + 29 = 0. What is the third biggest value in m, d, s? s Let k = -0.349 - -0.049. Let x = -6 - -4. What is the smallest value in k, x, 0.4? x Let b be (7/21)/(3/(-36)). Let j = 3 - 0. What is the second biggest value in j, 5, b? j Let s be (-7)/(-21) + (-13)/21. Which is the second smallest value? (a) -2/5 (b) -3 (c) s a Let t = 1.8 + -4. Let r = -2.6 - t. Which is the third biggest value? (a) r (b) -0.1 (c) 3/8 a Let u = 10462/9 - 680804/585. Let j = 12/13 + u. Which is the second biggest value? (a) -5 (b) -1 (c) j b Let q = 22 - -1. Let s be 2/(-5) - q/5. What is the smallest value in s, 5, -2/9? s Let n = 8 - 13. Which is the third biggest value? (a) n (b) -1 (c) -3 a Let j = -1 + 5. Which is the second biggest value? (a) j (b) 1 (c) 0.1 b Let v = 2/13 + 9/26. Which is the second smallest value? (a) v (b) 2.1 (c) -3 a Let n be 2 - (28/6 + (-2)/(-6)). What is the biggest value in -23, 3, n? 3 Let s(j) = j**2 + 9*j + 1. Let k be s(-9). Let o(q) = q**2 + q - 2. Let i be o(-2). Let z = -1 + i. What is the smallest value in 3, z, k? z Let g = 13.73 - 14. Let p = -0.37 - g. What is the smallest value in p, 1/7, 5? p Let p = 424/5 - 86. Suppose 2*k - 19 = 3*j, -3*j - k = 3*k + 7. Let m be 0/2 - 1/j. Which is the third smallest value? (a) p (b) 3 (c) m b Let q = -0.2 + -0.8. Let c = 0.3 - -0.7. Let g = q + c. What is the biggest value in 2/19, g, 1/6? 1/6 Let z = -0.61 - 0.09. Let k = z - -0.2. Let u = -12 + 12.4. What is the second smallest value in u, k, 1/2? u Let m = 10 - 9.5. Let b be (-114)/(-24) + 3/(-4). What is the third smallest value in b, -5, m? b Let h = -0.04 + 8.04. Let t = -6 + h. What is the smallest value in 0.4, -2/9, t? -2/9 Let s = 0.26 + 1.44. Which is the third biggest value? (a) 4 (b) -4 (c) s b Let h(z) = -z**3 - 2*z**2 + 2. Let x be h(-2). Let r = 40.2 - 40. Which is the third smallest value? (a) r (b) x (c) 4 c Let c = 0.016 + -0.016. What is the smallest value in 0.04, c, 1, -5? -5 Let t(n) = -n**3 + 4*n**2 + 2*n - 4. Let j be t(4). Let d be (3814/8)/(7/4). Let k = d - 273. What is the third biggest value in j, 1, k? k Let i be (100/45)/2*(-24)/20. What is the biggest value in 1/2, 1, -4, i? 1 Let g = 29.3 - 29. Let r be (-1222)/5*(-10)/14. Let k = 175 - r. Which is the second smallest value? (a) -1/2 (b) g (c) k b Let l = 3 - 5/2. What is the biggest value in 1/4, 2, l? 2 Let o = 1081/8 + -135. Which is the second biggest value? (a) 1/5 (b) 3 (c) o a Let u = -35.8 - -2.8. Let j = 31 + u. Let b = 0.3 - 0.1. What is the third smallest value in j, 1/7, b? b Let g = 50/3 - 16. Let y be 2*(-2)/2 + 0. Let z = -3.1 - -3. Which is the third smallest value? (a) z (b) y (c) g c Let v = 0.2 + 3.8. Let z = -3 - -14. Let f = z - 16. Which is the third biggest value? (a) v (b) f (c) 5/4 b Let n = 0.2 + 0. Let x = -19 + 15. Let o = 0 + x. What is the second smallest value in 0, n, o? 0 Let r = -117/682 - -5/62. Let l = 0.6 - 1. Which is the third smallest value? (a) 0.2 (b) l (c) r a Let x be 5/(-2)*20/325. What is the second biggest value in x, -4, -5? -4 Suppose 4*y + 0 = 20. Let r = -0.11 + -1.89. What is the smallest value in 0.07, y, r? r Let x be (1 + 14/(-8))*4. Let n = 9029/2415 + 8/345. Let i = n + -10/3. Which is the third smallest value? (a) -1 (b) x (c) i c Let z = 0.15 - 1.25. Let g = z - -6.1. Let h = -101/5 - -20. Which is the second biggest value? (a) -2 (b) g (c) h c Let w = -125 + 124.7. What is the biggest value in 1/12, 2/21, w? 2/21 Suppose 0 = -0*g - 2*g + 144. Let w = 362/5 - g. Which is the second smallest value? (a) w (b) -0.3 (c) -5/8 b Let d = -2 - 0. Let a = -0.06 + 3.06. Let p = d + a. What is the second smallest value in 4, p, 5? 4 Let s = 64 + -129/2. What is the biggest value in -3, s, 0.3, -2/7? 0.3 Let f = -0.12 - -5.12. Let o(x) = x**2 + 3*x + 1. Let u be o(-3). What is the third biggest value in 4/7, u, f? 4/7 Let h be (36/60)/((-4)/(-8)). Let m be ((-2)/(-6))/((-26)/12). Which is
{ "pile_set_name": "DM Mathematics" }
- 4*h + 1. Let f(o) = 3*o**3 + 5*o**2 - o - 2. Let t(a) = a**3 + 2*a. Let i(g) = -f(g) - 3*t(g). Calculate 4*i(p) - 5*w(p). p**3 + 3 Let c(p) = 5*p**2 + 4*p + 4. Let o(n) = -n**2 - n - 1. Let m = -31 - -34. Suppose -m*h + 15 = -4*l + 4, 2*h + 4*l = -6. Calculate h*c(g) + 4*o(g). g**2 Let h(o) = -67*o**3 + 2*o**2 + 2*o. Let s(m) = -267*m**3 + 10*m**2 + 9*m. Give -9*h(a) + 2*s(a). 69*a**3 + 2*a**2 Let p(m) = -2*m + 1. Suppose -2*t - 3*o = -13, t + 6 = 2*t + o. Let z(r) = -4 + t + 4 - 8*r. What is 9*p(y) - 2*z(y)? -2*y - 1 Let h(g) be the first derivative of 3*g - 3. Let f(m) = -m**2 - m + 7. Let i = 11 + -8. Suppose -i = -q - 0*q, 4*q = -5*o + 37. What is o*h(u) - 2*f(u)? 2*u**2 + 2*u + 1 Let q(s) = 4*s**3 + 5*s**2 - 7*s. Let k(a) = 10*a**3 - 4*a**3 - 10*a + 13*a**2 - 6*a**2. Suppose -471*y + 119 = -488*y. What is y*q(f) + 5*k(f)? 2*f**3 - f Let j(b) = 76895*b**2 + 143*b. Let i(f) = 1083*f**2 + 2*f. Calculate -143*i(w) + 2*j(w). -1079*w**2 Let b = 9 - 8. Let s(p) = -6 + b - p + 5. Let u(f) = 12*f - 2. Suppose 2*o + o = 3*t - 27, 0 = 5*o - 5. What is t*s(v) + u(v)? 2*v - 2 Let n(m) = -2*m + m - m + 2*m - m. Let v(q) be the second derivative of -q**3 + 3*q. Let p = -4 + -2. What is p*v(c) + 33*n(c)? 3*c Let m(d) = 15*d + 1. Let k(z) = -2*z + 1. Give -3*k(a) + m(a). 21*a - 2 Let t(o) = 2*o**3 - 5*o**2 - 9. Let z(q) = 3*q**2 - q**3 + 3 + 1 + 0*q**2 + 0*q**3. Give 4*t(k) + 9*z(k). -k**3 + 7*k**2 Let c(n) = 50*n**2 - 9. Let m(v) = 102*v**2 - 20. What is -9*c(h) + 4*m(h)? -42*h**2 + 1 Let d(x) be the second derivative of 3*x**5/10 - x**4/4 - 7*x**3/6 - 3*x**2/2 + 681*x. Let k(z) = -z**3 + z**2 + z + 1. Calculate -d(g) - 3*k(g). -3*g**3 + 4*g Let r(u) = 7*u + 8*u - u**2 + 3*u - 25*u + 8*u. Let k = -2 + 3. Let f(c) be the first derivative of c**2/2 + 2. Calculate k*r(p) - f(p). -p**2 Let h(i) = -2*i**3 + 12*i**2 + 2*i - 16. Let m be h(6). Let b(u) = 6*u - 15. Let v(x) = 13*x - 31. Determine m*v(f) + 9*b(f). 2*f - 11 Let m(z) = -1 - 22*z + 13*z + 4*z. Let v(l) = -11*l - 2. Let o = 21 + -34. Determine o*m(d) + 6*v(d). -d + 1 Let z(u) = 280*u**2 + 119*u. Suppose -1025*f + 1019*f = 36. Let h(l) = -14*l**2 - 6*l. Determine f*z(x) - 119*h(x). -14*x**2 Suppose 2*x - 30 = 14. Suppose -x*a = -18*a - 8. Let h(v) = 4*v**3 + 10*v**2 - 7*v + 7. Let p(q) = q**3 + 3*q**2 - 2*q + 2. Calculate a*h(i) - 7*p(i). i**3 - i**2 Let y(k) = -2 + k + 3 - 2. Let q(r) = 4*r. Let h(m) = -q(m) + 2*y(m). Let g = 324 - 328. Let u(f) = 3*f + 3. Determine g*h(i) - 3*u(i). -i - 1 Let t(i) = 3*i**2 - 3*i + 3. Let d(r) = 7*r**2 + 600 - 5*r - 593 - r. Calculate 4*d(y) - 9*t(y). y**2 + 3*y + 1 Let j(n) = -n**3 + n**2 + n + 1. Let u(b) = -8*b**3 + 6*b**2 + 6*b - 3. Give 5*j(m) - u(m). 3*m**3 - m**2 - m + 8 Let o(i) = -12*i**3 - 26*i + 14. Let u(p) = 4*p**3 + 9*p - 5. Give -3*o(j) - 8*u(j). 4*j**3 + 6*j - 2 Let f(m) = 46*m - 3. Let z(k) = -46*k + 2. Calculate 4*f(r) + 6*z(r). -92*r Let s(j) = 7*j**2 - 2*j - 4. Let l(f) = 7*f**2 - 7*f - 22. Let z(u) = 13*u**2 - 15*u - 48. Let i(d) = -9*l(d) + 4*z(d). Give 5*i(y) + 8*s(y). y**2 - y - 2 Let u(y) = -1. Let l(g) = 4*g + 44. Let h(n) = -3*n - 29. Let r(x) = 8*h(x) + 5*l(x). Give -r(v) + 12*u(v). 4*v Let v(l) = 28*l**3 - 22*l**2. Let a(u) be the third derivative of u**6/30 - u**5/20 - 10*u**2 - 22. Determine -44*a(n) + 6*v(n). -8*n**3 Let y(k) = -185*k - 4. Let r(z) = 185*z + 4. Calculate -4*r(d) - 5*y(d). 185*d + 4 Let f(g) = 28*g**2 + 14*g - 14. Let a(p) = -9*p**2 - 5*p + 5. Suppose 0 = 21*t + 121 - 415. What is t*a(n) + 5*f(n)? 14*n**2 Let k(u) = 51*u - 5. Let s(m) = -13*m + 1. Let n(o) = 2*k(o) + 9*s(o). Let c(d) = 4*d. Determine 22*c(l) + 6*n(l). -2*l - 6 Let z(t) = -30*t**3 + 6*t**2 + 10*t - 14. Let y(f) = -6*f**3 + f**2 + 2*f - 3. Determine -14*y(x) + 3*z(x). -6*x**3 + 4*x**2 + 2*x Let m(h) = -15*h**3 - 11*h**2 - 11*h + 29. Let v(u) = 3*u**3 + 2*u**2 + 2*u - 6. Determine -2*m(r) - 11*v(r). -3*r**3 + 8 Let j(g) = 3*g**2 + 4*g - 5. Suppose -3 - 1 = -a. Let u(b) = -16*b + 6. Let c(x) = 19*x - 7. Let p(o) = 5*c(o) + 6*u(o). Give a*p(s) + j(s). 3*s**2 - 1 Let h(d) = -2*d**2 - 5*d + 6. Suppose -3 = -2*u - 1. Let x be (u/(-4))/(2/(-8)). Let s(v) = -3*v + 1 - v + 3*v - v**2. Give x*h(l) - 4*s(l). 2*l**2 - l + 2 Let x(a) = -2*a**2 + 7*a + 4. Let l(y) = 20*y + 1 + 0 + 21*y**2 + 10 - 27*y**2. Let d(s) = s**3 + 10*s**2 + 10*s + 3. Let o be d(-9). What is o*l(q) + 17*x(q)? 2*q**2 - q + 2 Let t(q) = 7*q**3 + 4*q**2 - 56*q + 4. Let u(x) = -10*x**3 - 5*x**2 + 57*x - 5. Determine -5*t(j) - 4*u(j). 5*j**3 + 52*j Let l(a) = -43*a**2 + 11*a + 2. Let c(z) = -44*z**2 + 13*z + 3. What is -5*c(q) + 6*l(q)? -38*q**2 + q - 3 Let k(r) = -9*r - 11. Let v(c) = c**2 - 10*c + 29. Let j be v(6). Let q(f) = -14*f - 17. What is j*q(o) - 8*k(o)? 2*o + 3 Let p(k) = 6*k**3 - 4*k**2. Let a(j) = 5*j**3 - 3*j**2. Let h(v) = v**2 - 1. Let l be 0/(-1)*(-3)/(-6). Let g be h(l). Let z = g - -4. Give z*p(m) - 4*a(m). -2*m**3 Let k(a) = 7*a - 20. Let f be k(7). Let p be ((-2)/(-3))/(f/261). Let d(c) = 21*c**2 + 4. Let z(b) = -10*b**2 - 2. Give p*d(x) + 13*z(x). -4*x**2 - 2 Let w(b) = b**3 - 1. Let i(h) be the first derivative of 6*h - 59. What is i(l) + 6*w(l)? 6*l**3 Let n(w) = 5*w**3 - 9*w**2 - 10 - 2*w - 2 - 2*w**3 - 4*w**3. Let l be n(-9). Let k(f) = -f + 1. Let p(s) = s - 1. Calculate l*p(b) + 5*k(b). b - 1 Let g(t) = 10 - 6 + 36*t + 3 + 1 + 6. Let j(q) = -12*q - 5. Calculate 5*g(s) + 14*j(s). 12*s Let y(r) = 3*r - 5. Let k(v) be the third derivative of v**4/6 - v**3 + 636*v**2. Calculate 4*k(j) - 5*y(j). j + 1 Let r(m) = 2*m - 1. Let a(x) = 57*x - 15. Determine 2*a(y) - 42*r(y). 30*y + 12 Suppose 5*t - 27 = 3. Let j(i) = 7*i**3 - i**2 + 6*i - 5. Let l(g) = -6*g**3 + g**2 - 5*g + 4. Determine t*l(p) + 5*j(p). -p**3 + p**2 - 1 Let m(g) be the first derivative of -2*g**2 + 15 - 2*g + 2/3*g**3. Let j(n) = 6*n**2 - 11*n - 6. Determine 3*j(s) - 8*m(s). 2*s**2 - s - 2 Let l = -21 + 23. Let b(z) = -2*z**3 + 1 - z + 2*z**3 - z**3 + z**2 - l. Let u(x) = -3*x**3 + 4*x**2 - 2. What is -2*b(y) + u(y)? -y**3 + 2*y**2 + 2*y Let q(y) = 4*y - 4*y + 32*y**2 - y**3 - 31*y**2. Let b(o) = -4*o**3 + 5*o**2. Calculate -b(f) + 3*q(f). f**3 - 2*f**2 Let k(i) = 198*i - 45. Let b(y) = -7*y - y + 2 - 2*y + 3*y - 2*y. Give -45*b(d) - 2*k(d). 9*d Let s(n) = -n**3 - 18*n**2 - 17*n + 18. Let c be s(-17). Suppose -8*z - 30 = -c*z. Let l(v) = -10*v + 14. Let m(h) = -2*h + 3. What is z*l(x) - 14*m(x)? -2*x Let r(p) = p**3 + 4*p**2 + 4*p + 4. Let d(h) = -h**2 - h - 1. Determine -6*d(n) - 2*r(n). -2*n**3 - 2*n**2 - 2*n - 2 Let f(v) = 77*v**3 + 5*v**2 + 4*v - 4. Let i(k) = 231*k**3 + 14*k**2 + 11*k - 11. Determine -11*f(s) + 4*i(s). 77*s**3 + s**2 Let i(t) = -t**3 - 1. Let n(l) = -l - 1. Let w = -87 - -40. Let c = w - -48. Give c*i(m) - n(m). -m**3 + m Let j(o) = -5*o. Let c(u) be the second derivative of 3*u**3/2 + 7*u**2/2 - 33*u. Let v(a) = 18*a + 13. Let l(r) = -11*c(r) + 6*v(r). Determine 7*j(d) + 4*l(d). d + 4 Let s(p) = 3*p - 3*p + p + 2. Let i(k) be the second derivative of -19*k + 0 - 1/3*k**3 - 3/2*k**2. What is 5*i(j) + 8*s(j)? -2*j + 1 Let x(v) = 3*v + 21. Let r(o) = 5*o + 32. Let y(d) = 5*r(d) - 8*x(d). Let w(j) = -2*j - 1. Let f be w(0). Let p(z) = -1. Calculate f*y(g) + 6*p(g). -g + 2 Suppose 5*g + 25 = -4*j, 2*j + 2*g = 5*j + 13. Let y(h) = -7*h**2 + 2*h + 5. Let q(s) = 0*s + s - 2*s - 3 + 4*s**2. What is j*q(a) - 3*y(a)? a**2 - a Let n(p) = -p**2 - p - 1. Let f = 47 - 178. Let u = 133 + f. Let k(z) = -z**3 - z**2 - z - 2. Give u*n(q) - k(q). q**3 - q**2 - q Let x(l) = -l**2 + 4*l + 2. Let m(q) = -3*q**2 + 11*q + 5. Let u(a) = -6*a + 71. Let w be u(10). Calculate w*x(i) - 4*m(i). i**2 + 2 Let f(n) = -4*n**3 + 3*n**2 + 20*n - 8. Let u(z) = -4*z + 1. Calculate -f(h) - 5*u(h). 4*h**3 - 3*h**2 + 3 Let w(b) = -21*b + 66. Let z(s) = 15*s - 64. Give -2*w(a) - 3*z(a). -3*a + 60 Let h(k) = -2 + k + 6*k - 1. Let q(n) = -3*n + 1. Let j(y) = 2*h(y) + 5*q(y). Suppose 6*d = 9*d - 3. Let p(i) = i - 1. Determine d*p(f) + 2*j(f). -f - 3 Let a(u) = -4*u + 33. Let y(d) = -4*d + 31. Give -5*a(z) + 4*y(z). 4*z - 41 Let x(m) = 3*m**2 - 3*m - 4. Let a(w) = -5*w**2 + 7*w + 9. Suppose 0 = -5*g + 2*u - 3*u + 5, 0 = 2*g - 3*u - 19. Calculate g*a(h) + 5*x(h). 5*h**2 - h - 2 Let t(r) = r**2 + r + 1. Let i(u) = -21*u**2 + 5*u + 5
{ "pile_set_name": "DM Mathematics" }
? 75 Let f(o) = -14 + 2 + 5 - 3*o - 63*o. Let y be f(-12). What is the third derivative of -21*t**6 + 766*t**2 - 14*t**6 - y*t**2 wrt t? -4200*t**3 Suppose 3*d + 47 = 4*z, 0 = z + 4*d + 6 - 32. What is the second derivative of -5*x - z*x - 8*x - 2*x**5 - 26*x - 28*x**4 wrt x? -40*x**3 - 336*x**2 What is the third derivative of -1 - 69*z**5 + 2217*z**2 + 1 - 13*z**4 - 59*z**5 + 107*z**5 wrt z? -1260*z**2 - 312*z Let t(h) be the first derivative of -1303*h**4 + 5724*h + 1933. What is the first derivative of t(z) wrt z? -15636*z**2 Let s(w) be the first derivative of -889*w**2 - 529*w - 919. Differentiate s(y) wrt y. -1778 Let w(d) be the second derivative of -117*d**2 - 7/12*d**4 + 1/4*d**5 + 0 + 20*d + 0*d**3. What is the derivative of w(r) wrt r? 15*r**2 - 14*r Let d(n) be the first derivative of -4/3*n**3 - 20 + 29*n - 2/5*n**5 + 0*n**4 + 0*n**2. Find the first derivative of d(a) wrt a. -8*a**3 - 8*a Suppose 0 = 3*f + 15, -6*l - 5*f - 33 = -2*l. Let p be 4*((-8)/l + -3). Find the second derivative of -h**4 - 10*h + 7*h**4 + 10*h**p wrt h. 192*h**2 Let d(w) be the third derivative of -563*w**5/30 + 49*w**4/4 + 690*w**2. What is the second derivative of d(p) wrt p? -2252 Suppose 18*o = -18*o + 14*o. Let h(l) be the second derivative of 21*l + 23/12*l**4 + 7/3*l**3 + o*l**2 + 0. Find the second derivative of h(j) wrt j. 46 Let g(a) be the second derivative of -2051*a**6/30 + 1461*a**2 + 1800*a. Find the first derivative of g(z) wrt z. -8204*z**3 Let u(k) = -18 - 10*k + 47*k + 15*k - 6*k. Let v(m) = -137*m + 54. Let s(o) = 17*u(o) + 6*v(o). Find the first derivative of s(f) wrt f. -40 What is the first derivative of -295 + 2*m + 14 - m + 356 - 1165*m**2 wrt m? -2330*m + 1 Let n(j) be the third derivative of j**8/336 - 161*j**6/30 - 373*j**4/12 + 1766*j**2. What is the second derivative of n(t) wrt t? 20*t**3 - 3864*t What is the second derivative of 90761*d**2 + 3*d + 10659*d**4 - 81 - 181530*d**2 + 90769*d**2 wrt d? 127908*d**2 Let u(j) = j**4 + 1. Let q(i) = 16*i**2 + i - 4. Let f be q(2). Let n(t) = 83 - t**4 - t**3 - f + t**3. Let a(d) = n(d) - 5*u(d). Differentiate a(s) wrt s. -24*s**3 Let o(j) = j**2 + 10 - 3*j**2 + 0*j**2 - 6*j + j**2. Let b be o(-6). What is the first derivative of -12 - 8*z**3 - b*z**3 + 35 + 13*z**3 wrt z? -15*z**2 Let p(v) = -2*v**3 - v**2 + v - 1. Let g(l) = 5625*l**3 - 4917*l**2 + 3*l - 3. Let z(x) = g(x) - 3*p(x). Find the third derivative of z(y) wrt y. 33786 Let n(p) be the third derivative of 319*p**5/30 + 89*p**4/8 + 70*p**2. Find the second derivative of n(z) wrt z. 1276 Let v(w) be the second derivative of -407*w**3/3 + 5033*w**2/2 + w + 3294. Differentiate v(g) with respect to g. -814 Let g = -111 - -121. Find the third derivative of 11*k**2 - 4*k + 23*k**2 + g*k**3 - 27*k**2 + 4*k + 6 wrt k. 60 Let r(j) = -j - 34. Let t be r(-39). Differentiate -t*m**2 + 58 - 177 + 36 + 45*m**2 + 37*m**2 with respect to m. 154*m Let b = -1016 - -1033. Suppose 4 + 4 = 2*x. Find the third derivative of 18*t**2 - t**3 - 16*t**x + t**3 + b*t**4 wrt t. 24*t Find the second derivative of 2 + 54*i**2 + 1044*i**3 - 113*i**2 + 486*i + 847*i + 58*i**2 wrt i. 6264*i - 2 Let y(a) be the third derivative of 751*a**8/336 - a**7/210 + 3709*a**5/30 - 2*a**2 + 3231. What is the third derivative of y(q) wrt q? 45060*q**2 - 24*q Let d = 727 - 725. Find the third derivative of -b + 1823*b**d + b - 221*b**3 - 1640*b**2 wrt b. -1326 Let o be (27/6*(-24)/(-9))/4. Let q(h) be the first derivative of -o + 0*h**4 + 19/3*h**3 + 0*h + 0*h**2 - 18/5*h**5. Find the third derivative of q(r) wrt r. -432*r Let i(j) be the first derivative of 53*j**5 + j**4/4 - 3016*j**2 - 7686. What is the second derivative of i(a) wrt a? 3180*a**2 + 6*a Find the third derivative of -1606 + 178*m**6 + 58*m**2 + 1606 + 60*m**6 - 5*m**2 wrt m. 28560*m**3 Find the third derivative of 2*b**2 + 2892*b**3 - 847*b**3 + 29*b + 12*b**2 wrt b. 12270 What is the derivative of 176*o**3 + 1488*o**3 + 3368*o**3 + 5233*o**3 - 6414 - 4153 wrt o? 30795*o**2 Let f be 0/(-1) - -7 - (37 - 33). What is the second derivative of 14*n**3 - 36*n**f - 805*n + 822*n wrt n? -132*n Let b(g) = -g**2 - 9*g - 12. Let v be b(-7). Find the first derivative of 14 - 55*a**3 - 25*a**v + 107*a**3 - 54*a**3 wrt a. -6*a**2 - 50*a Suppose -27 = -3*h + 4*j, -5*h - 2*j + 26 - 7 = 0. Differentiate -61*c + 48 - 19*c**4 + 12*c**4 + h*c**4 with respect to c. -8*c**3 - 61 Suppose -4*i - 142 = 118. Let c = 95 + i. Find the first derivative of -c + 4 - 10*q**2 - 3 wrt q. -20*q Let l = -275 + 289. What is the first derivative of -153 - l*m**2 + 94 + 114 wrt m? -28*m Let w(o) be the first derivative of 215*o**3 + 173*o + 1487. What is the first derivative of w(r) wrt r? 1290*r Let w = 1272 - 1269. Let h(c) be the first derivative of 0*c**4 - 7/5*c**5 + 0*c**2 + 11 + 0*c**w + 8*c. What is the derivative of h(d) wrt d? -28*d**3 Let j(g) be the first derivative of -21*g**2 + 185*g + 120. Let f(h) = 15*h - 62. Let x(i) = -11*f(i) - 4*j(i). Differentiate x(c) with respect to c. 3 Let m(x) = -5*x + 3. Let y(w) = 168*w**2 + 14*w - 266. Let p(h) = 3*m(h) + y(h). Differentiate p(t) wrt t. 336*t - 1 Differentiate -658*d**3 + 864 + d**2 - d**2 + 847*d**3 with respect to d. 567*d**2 Let c(y) be the third derivative of -64*y**5/5 - 97*y**4/3 + 601*y**2. Find the second derivative of c(b) wrt b. -1536 What is the third derivative of 11*u**5 + 12*u**2 + 359942*u**4 - 6*u - u**2 - 359907*u**4 + 6*u**3 - 8 wrt u? 660*u**2 + 840*u + 36 Let r(d) = -d**3 - 20*d**2 + 52. Let t be r(-20). Find the second derivative of -l + 21 - 54*l**2 - t*l**2 - 19 wrt l. -212 Let i(a) be the first derivative of 0*a**2 + 33 + 0*a + 19*a**3 + 57/4*a**4. Find the third derivative of i(c) wrt c. 342 Let s(c) = -2*c**2 + c. Let i(n) = -2*n - 57*n**2 - n + 5*n - 15*n. Let l(m) = i(m) - 4*s(m). What is the second derivative of l(t) wrt t? -98 Let o = -446 - -448. What is the third derivative of 100*m**3 - m - 4*m + 2*m - 61*m**o + 3*m + m wrt m? 600 Let n(o) be the second derivative of -o**5/20 - 161*o**3/2 + 3209*o**2/2 + 269*o. What is the first derivative of n(h) wrt h? -3*h**2 - 483 Suppose -y + 3*y = -5*w - 71, -y + 3*w = 19. Let t = y + 33. Find the third derivative of 95*s**5 - 26*s**5 - 31*s**2 - 24*s**t wrt s. 2700*s**2 Let m(p) = p**5 + p**4 + p**3. Let y(z) = -10*z**5 - 3*z**4 + 238*z**3 + 30*z + 19. Let j(v) = 7*m(v) + y(v). Find the second derivative of j(f) wrt f. -60*f**3 + 48*f**2 + 1470*f Let f be (5 - (-3 + 6))/((-1)/(-10)). What is the third derivative of -22*d**3 - 26*d**5 - 26*d**5 + f*d**3 + 24*d**2 + 51*d**5 wrt d? -60*d**2 - 12 Let i(t) be the first derivative of 989*t**4 - 134*t**3/3 - 1808. Find the third derivative of i(z) wrt z. 23736 Find the third derivative of -217*k**2 - 132*k**3 - 255*k**3 + 148*k**3 + 4*k**2 - 527*k**3 wrt k. -4596 Find the second derivative of 14*n**4 - 1656*n**5 - 8*n**4 + 1676*n**5 - 20*n**4 - 62*n**4 + 63 + 6*n wrt n. 400*n**3 - 912*n**2 Let t(r) = -66454*r**2 + 39922*r + 21. Let n(x) = -13292*x**2 + 7985*x + 4. Let f(z) = -31*n(z) + 6*t(z). Find the second derivative of f(s) wrt s. 26656 Suppose 0 = -10*z + 573 + 37. Find the second derivative of -14 - 13 - z*u**5 + 21 - 4*u wrt u. -1220*u**3 Let d = -444 + 447. What is the second derivative of -4*g - 137*g**3 + d*g - 44*g - 142*g wrt g? -822*g Let d(s) = s**2 + 2*s + 2. Let g be d(-2). Find the third derivative of 5*l**2 + 9*l**6 - 2327*l + 2325*l + 14*l**g wrt l. 1080*l**3 Let z(d) = -8*d - 6. Let n be z(6). Let a = n + 72. What is the third derivative of -2*f**3 - 10 - 8 + a + 6*f**2 wrt f? -12 Let l = 49 + -36. Let t be l/2 + (-11)/22. Find the third derivative of x**2 + 8*x**t + 6*x**6 + 4*x**2 + x**6 wrt x. 1800*x**3 Suppose -2*l + 3*t = 3, 0 = -2*t - 2*t + 12. Find the second derivative of -p**2 - 135*p - 5 - 11 + 16 + 85*p**l wrt p. 510*p - 2 Let g(o) = -o**3 - 11*o**2 + 15*o + 38. Let k be g(-12). What is the second derivative of 85*l - 27*l**3 - 6*l**2 - 15*l**3 + 6*l**2 - k*l**4 wrt l? -24*l**2 - 252*l Let l be (-4458)/(0 - 2/39). What is the second derivative of 198*w**2 + l - 84*w - 86931 wrt w? 396 Find the second derivative of -565*j + 439*j + 2906*j**2 - 1151*j + 1504*j**2 - 3159*j wrt j. 8820 Let l(k) = -45*k - 13. Let r(n) = -n - 5 + 12 - 9
{ "pile_set_name": "DM Mathematics" }
1 What is the second derivative of 318996688*a**2*r - 477334582*a*r wrt a? 637993376*r Find the third derivative of 25808899*m**5*w**3 + 2*m**3*w**3 + 7162*m**2*w**3 + m**2*w**2 + 7*m*w - 2*w**2 wrt m. 1548533940*m**2*w**3 + 12*w**3 What is the third derivative of 611*n**3*v**5 + 2*n**3*v**2 + 3*n**3*v - 321*n**3 - 3021*n**2*v**4 + 50*v**2 - 2*v wrt v? 36660*n**3*v**2 - 72504*n**2*v What is the derivative of -3463053*i**3 + 2223010? -10389159*i**2 Find the second derivative of -967*c*u**2 - 25*c*u + 864*c - 18317*u**2 - 3*u + 172 wrt u. -1934*c - 36634 What is the third derivative of 7*d**3*o**2 + 286760*d**3*o - 2*d**2*o**2 - 1034565*d**2 + o wrt d? 42*o**2 + 1720560*o What is the third derivative of -25277388*q**6 - 190012*q**2 - 19*q - 3? -3033286560*q**3 What is the third derivative of 2*j**2*v**3*w - 206*j**2*v**2*w - 27*j**2*v - 49206*j*v**3*w - 182*j*v*w + 19*v**3*w - 2*w wrt v? 12*j**2*w - 295236*j*w + 114*w What is the third derivative of -53*l*m**4 + 4*l*m**3 + 1555892*l*m**2 + 11027*m**4 wrt m? -1272*l*m + 24*l + 264648*m Find the second derivative of 2362*c*t**3 - 200258*c*t - 3361*t**5 - 674*t wrt t. 14172*c*t - 67220*t**3 Find the third derivative of -45476823*u**3 - 597*u**2 - 23717 wrt u. -272860938 What is the third derivative of 32*o**3*y**3 - 11593*o**3*y + 10*o**2*y**3 - 3839*o**2*y**2 - 36*o*y**3 wrt o? 192*y**3 - 69558*y What is the third derivative of -12416309*v**3 + 6*v**2 + 4*v + 18279 wrt v? -74497854 What is the second derivative of 14601876*s**3 - 2*s**2 + 217707*s - 142 wrt s? 87611256*s - 4 Find the third derivative of -11699313*r**4 + 1077*r**2 - 10*r - 19 wrt r. -280783512*r What is the second derivative of -3460659*d**4 - 4*d**3 - 813285*d wrt d? -41527908*d**2 - 24*d What is the second derivative of -41*c**3*x + 404*c**3 - 2*c**2*x + 22*c**2 - c*x - 425*c - 5*x + 315 wrt c? -246*c*x + 2424*c - 4*x + 44 What is the second derivative of 491834146*v**5 + v + 84583285? 9836682920*v**3 Find the third derivative of -58591*k*z**3 + 2*k*z**2 - 338*k*z + 24*k + 7*z**4 - 2*z**2 + 2 wrt z. -351546*k + 168*z Find the third derivative of 81*h*j**4*r - 26*h*j**2 + h*j*r + h - 72*j**4 - 2688*j**3*r + 10*j**2*r + 294*j**2 + 20*r wrt j. 1944*h*j*r - 1728*j - 16128*r Differentiate -9483*s*v**2 + 1138317*s + 69*v**2 - 2*v wrt v. -18966*s*v + 138*v - 2 Find the first derivative of 4733*m*y + 809294294*m + 19965*y wrt y. 4733*m + 19965 Find the third derivative of 421*c**5 + 4*c**4 + 602*c**3 + 66360*c**2 + 18*c - 60. 25260*c**2 + 96*c + 3612 Find the second derivative of -23026982*o**2 - 13*o - 381014. -46053964 What is the third derivative of 780221757*m**3 + 3*m**2 + 35178802*m - 1 wrt m? 4681330542 Find the third derivative of -57331257*f**3*v**2 - 10*f**2*v + 755894*f*v**2 wrt f. -343987542*v**2 What is the third derivative of 1364*a**3*g + 1153*a**3 - 56624*a**2*g + 12*a*g wrt a? 8184*g + 6918 What is the derivative of -4258792*r**4 + 10*r**3 - 88909762 wrt r? -17035168*r**3 + 30*r**2 What is the first derivative of -506623899*f - 675497953? -506623899 What is the second derivative of 20128433*w**2*x + 9016972*w + x wrt w? 40256866*x Find the second derivative of -6398187*p**2 - 10871727*p wrt p. -12796374 Find the third derivative of 3607037*g**3*w**3 + 24*g**3 - 8*g**2*w**5 + 104837*g**2*w**2 wrt w. 21642222*g**3 - 480*g**2*w**2 Find the second derivative of 57592037*r**2 - 19915*r + 1146 wrt r. 115184074 Find the second derivative of 24019287*h**2*t**3 + 413*h*t**3 + 18230*h wrt h. 48038574*t**3 What is the derivative of 391584*a**3*j*n - 2*a**3*n - 202*a**3 + 137*a**2 + 4*a*n + 2*a - 24*j*n + 5*n wrt j? 391584*a**3*n - 24*n Find the third derivative of -10781*p**5 + 780*p**4 - 104*p**2 - 94796. -646860*p**2 + 18720*p Find the second derivative of -388*g*w**3 + 18*g*w**2 + 36*g*w + 16*w**3 - 12*w**2 + 49292*w wrt w. -2328*g*w + 36*g + 96*w - 24 What is the third derivative of 21671546*k**6 - 22*k**2 - k - 22884? 2600585520*k**3 What is the second derivative of 10329574*q**2 - 3503681*q - 1? 20659148 Find the second derivative of -887829*t**5 + 4*t**3 + 643161*t - 3. -17756580*t**3 + 24*t Find the third derivative of 6517826*b*q*r**3 + 8*b*q*r**2 - 3846*b*r**2 - 2*b*r wrt r. 39106956*b*q What is the second derivative of -1810*k*n**2 - 2*k*n + 2*k - 2187*n**3 + 2*n + 100649 wrt n? -3620*k - 13122*n Differentiate b**3*d - 2*b**3 + 21*b**2*d - 464213*b**2 - 143*b*d + b - 12*d wrt d. b**3 + 21*b**2 - 143*b - 12 Differentiate -93928947*a**3*k**2 + k**2 - 29*k + 128602 wrt a. -281786841*a**2*k**2 Find the third derivative of 721667*i*t**4 - 10*i*t**2 + 8*i*t + i - 51*t**6 + 21*t + 1412 wrt t. 17320008*i*t - 6120*t**3 Find the third derivative of -143437334*c**5 - 5107216*c**2 - 9*c - 1 wrt c. -8606240040*c**2 What is the derivative of -11*z**3 - 2708*z - 23603685 wrt z? -33*z**2 - 2708 Find the second derivative of -9854*b**5 - 18*b**3 + b**2 + 381*b - 576. -197080*b**3 - 108*b + 2 Differentiate 2*q**3 + 11394897*q + 27162635 wrt q. 6*q**2 + 11394897 Differentiate -250740152*x**3 - 166027744. -752220456*x**2 What is the derivative of -45587995*j**3*u + 2*j**3 - 1166017*j**2 + 1 wrt u? -45587995*j**3 What is the third derivative of 12*m**5 + 40*m**4 + 38202*m**3 + 49686*m**2 + 1012 wrt m? 720*m**2 + 960*m + 229212 What is the third derivative of -233*u*v**4 + 5*u*v**3 + 3*u*v**2 + 4*u*v + 4*u - 536*v**4 + v**3 + 2*v**2 + 27*v - 76 wrt v? -5592*u*v + 30*u - 12864*v + 6 What is the third derivative of -2*d**4*m + 19791*d**3*m - d**3 + 2*d**2*m + 2*d**2 + 57404*d*m + 43*m wrt d? -48*d*m + 118746*m - 6 Find the second derivative of 3127195*g**2*r**2*v - 13*g**2*v**2 - 45*g*r**2*v**2 - 2*g*r*v**2 + 3*g*r*v + 2*g*r - 481*g + 71*r wrt g. 6254390*r**2*v - 26*v**2 Find the second derivative of 3924*f**3*k + 12*f**3 + 20*f**2*k + 2*f*k + 2336*f + 5*k + 9 wrt f. 23544*f*k + 72*f + 40*k What is the first derivative of 7167882*x + 5713650 wrt x? 7167882 What is the third derivative of 11026743*q**3*t**3 - 8*q**3*t**2 + 7*q**3 + q**2*t**2 + 8*q*t**2 + 768 wrt t? 66160458*q**3 Find the first derivative of 845106*n**4 + 21*n + 21550381 wrt n. 3380424*n**3 + 21 Find the second derivative of 41809864*r**2*u - r**2 + 469*r - 37060*u wrt r. 83619728*u - 2 Find the third derivative of 6*o**2*t**3 - 211583*o**2*t - 59*o**2 + 2*o*t**2 + 4878818*t**3 wrt t. 36*o**2 + 29272908 Find the second derivative of -4*b**2*r**2*u - 12977*b**2*r*u**2 - 6*b**2 - 28575*b*r*u + 21996*r**2*u**2 + 3*r**2*u - u wrt u. -25954*b**2*r + 43992*r**2 Find the first derivative of -6*l**2 + 301283*l - 76190004. -12*l + 301283 Differentiate 585478989*i*u + 626784251*i wrt u. 585478989*i What is the first derivative of 177622207*g**3 + 56599333? 532866621*g**2 What is the derivative of -1798*j**4 + 36003*j + 477584746 wrt j? -7192*j**3 + 36003 Differentiate -1423528*k - 29125460 wrt k. -1423528 Differentiate 82801*a*n*q**2 + 1813*a*n + 5*n*q**2 - 369624*n*q + 44*q**2 with respect to a. 82801*n*q**2 + 1813*n What is the third derivative of -f**3*o*v - 51706*f**3 + 2*f**2 - o + 2*v - 1564 wrt f? -6*o*v - 310236 Differentiate -2*b**2*r**3 - 12415878*b**2*r**2 - r**3 - 5*r**2 - r - 92870 wrt b. -4*b*r**3 - 24831756*b*r**2 What is the third derivative of 17*z**6 - 4*z**5 + 29*z**4 - 7756049*z**2? 2040*z**3 - 240*z**2 + 696*z Find the third derivative of 4518118*v**6 - 15*v**4 + 418175529*v**2. 542174160*v**3 - 360*v Find the third derivative of 2*h**3*r**3 - 2*h**3*r**2 + 596*h**3*r + 5*h**2*r + 2*h**2 - 1474522*h*r**5 + r**2 wrt r. 12*h**3 - 88471320*h*r**2 What is the first derivative of -416131051*c - 640147272 wrt c? -416131051 What is the second derivative of 40323*i**3 - 9*i**2 + i + 2704993? 241938*i - 18 What is the second derivative of 91029451*c**3*f**2 - 414*c**3*f + c**3 - 2*c**2*f + 137*c*f + 2*f - 11 wrt f? 182058902*c**3 Differentiate 5746931*x**3 + 119714. 17240793*x**2 Differentiate 22378305*m**2 + 40485127. 44756610*m What is the third derivative of 135110853*w**6 + 436*w**2 + 3444*w wrt w? 16213302360*w**3 Find the second derivative of -27*i*z**3 - 726402*i - 134181*z**2 + 28*z wrt z. -162*i*z - 268362 What is the third derivative of -50361809*c*k**3 - c*k**2 - 11*c*k + k**3 + 454*k**2 + k + 88 wrt k? -302170854*c + 6 Differentiate -1198*i**4 - 4*i**3 - 3*i**2
{ "pile_set_name": "DM Mathematics" }
15 Let v = -409 + 431. Calculate the remainder when v is divided by 15. 7 Suppose 0 = -2*o + 4 + 16. Suppose -f - 4*f = -o. Let q = 12 - f. What is the remainder when 15 is divided by q? 5 Let c(d) = d**2 - 25*d + 91. What is the remainder when 128 is divided by c(23)? 38 Let i = 228 - 176. What is the remainder when i is divided by 27? 25 Let b = -195 + 230. What is the remainder when b is divided by 18? 17 Let g(t) = 68*t - 5. Let r be g(2). Suppose r = 5*k + c, -k + 3*k = 2*c + 50. What is the remainder when k is divided by -2*2/(8/(-18))? 8 Let r = 94 + -46. Calculate the remainder when 91 is divided by 9/24 - (-1134)/r. 19 Suppose 4*s + 5*m + 40 = -0*m, -2*s = -2*m + 20. Let l = s - -12. Suppose 30 = l*t - 5*b - 15, t = -4*b - 10. What is the remainder when 17 is divided by t? 7 Suppose -96 = -2*k + 3*m, 0 = -4*k + 5*m + 202 - 10. Calculate the remainder when k is divided by 31. 17 Let m be (4/2 - -47) + -11 + 8. Let c = -26 + m. Calculate the remainder when 39 is divided by c. 19 Let j = 1136 + -1029. Calculate the remainder when j is divided by 8. 3 Let h = 33 + -41. Let w(z) = -z**3 + 4*z**2 + 7*z - 6. Let a be w(5). Calculate the remainder when ((-39)/a)/(2/h) is divided by 10. 9 Suppose -5*x - 3*k + 12 = -4*x, 5*x - 5*k = -20. Suppose x*o + 60 = 5*o. Let n(q) = 99*q - 163. Calculate the remainder when n(2) is divided by o. 11 Let z = 34 - -53. Suppose -2*j + 53 = 17. What is the remainder when z is divided by j? 15 Let c = -34 + 3. Let d = c - -46. Calculate the remainder when d is divided by 9. 6 Let c = 43 - 30. Suppose -2*p - 2*p + 22 = -2*g, -3*p = -5*g - c. Suppose -2*q = -p*q + 104. Calculate the remainder when 102 is divided by q. 24 Let s = 920 + -778. Let f(i) = 2*i**2 + 10*i + 1. Calculate the remainder when s is divided by f(-7). 26 Suppose 5*k = b - 20, 4*b = -2*k - 3*k + 5. Let x(h) = -h + 8. Let n be (-8)/(-10) - (-147)/(-15). Calculate the remainder when x(n) is divided by b. 2 Let g = -171 - -192. Suppose 9*y - 4*y = 510. What is the remainder when y is divided by g? 18 Let n = 559 - 488. What is the remainder when n is divided by 21? 8 Suppose -44*f + 126 = -26*f. Calculate the remainder when 88 is divided by f. 4 Suppose 867 = 9*t - 123. What is the remainder when t is divided by 42? 26 Suppose -5*m + 14 = p, 3*p - m + 2*m = 70. Suppose 0 = -f + p - 6. What is the remainder when f is divided by 13? 5 Let w = 17 + 0. Suppose -5*r - 8*t + 57 = -4*t, 4*r - 33 = t. What is the remainder when w is divided by r? 8 Let t(p) = p**2 + p. Let h(k) = -5*k**2 - 7*k. Let l(g) = -h(g) - 6*t(g). Let d be l(-1). Let x = 5 + d. Calculate the remainder when x is divided by 2. 1 Suppose -15*p = -42*p + 297. What is the remainder when 252 is divided by p? 10 Let c = 2 - -11. Let b(m) = -205*m - 757. What is the remainder when b(-4) is divided by c? 11 Let h be 25/(-4) + (-6)/(-24). Let j(g) = -g**3 - 4*g**2 + 5*g + 1. What is the remainder when j(h) is divided by 11? 10 Suppose -q = z - 21, -2*z = -2*q + 6*q - 84. Calculate the remainder when 100 is divided by q. 16 Let b be (-4)/5 - (-10938)/10. Suppose -4*a + b = -5*i, a = 5*i + 384 - 92. Calculate the remainder when a*-1*12/(-36) is divided by 18. 17 Let o(c) = c**2 - 9. Let p be o(3). Suppose p = 5*v + 11 - 101. Calculate the remainder when 67 is divided by v. 13 Let v be 1*(-3)/(-1 + 0). Let t(o) = o**2 - 7*o + 4. What is the remainder when 0*v/(-6) + 45 is divided by t(8)? 9 Let u = 185 - 156. Calculate the remainder when u is divided by 5. 4 Let w(f) = 7*f - 326. Calculate the remainder when 279 is divided by w(48). 9 Let a = 209 - 41. Calculate the remainder when a is divided by 43. 39 Let i = 142 - -34. What is the remainder when 90 is divided by 2 + (i/6 - (-8)/(-24))? 28 Let y(p) = p**3 - p**2 - p + 21. Let d be y(0). Let n = -2 + d. Suppose -3*x = 3*o - 0*o - 108, 4*o - 149 = x. Calculate the remainder when o is divided by n. 18 Let m = 4 - -5. What is the remainder when 1330/30 - (-2)/(-6) is divided by m? 8 Suppose 0 = 17*n - 412 - 2886. Suppose 13*j = -64 + n. What is the remainder when 17 is divided by j? 7 Let d(t) = 15*t + 11. Let l be d(-3). Let g be ((-8)/(-1))/((-4)/(-34)). Let u = g + l. What is the remainder when 133 is divided by u? 31 Let s(z) = -138*z**3 + z**2 + 2*z. Suppose 2*m - 1 = -4*i - 11, 1 = -4*i + m. What is the remainder when s(i) is divided by 23? 22 Suppose 45 = 7*w - 32. Let o = -6 - -9. Suppose -22 = -o*s + 74. Calculate the remainder when s is divided by w. 10 Let u = -930 + 1033. What is the remainder when 407 is divided by u? 98 Suppose -5*p = -0*i + 5*i - 20, 3*p = -2*i + 12. Suppose -4*f = -p*m + 68, -2*f - f = 15. Let w = m - 9. What is the remainder when 7 is divided by w? 1 Suppose -5*w = -2*w + 2*v - 22, 5*w - 36 = -3*v. Let j(p) = 3*p**3 - 14*p**2 - 5*p + 4. What is the remainder when j(w) is divided by 24? 22 Suppose -3*k + 35 = u + 27, -2*u - 4*k + 14 = 0. What is the remainder when 9 is divided by u? 4 Suppose 0 = -3*p - 4*s + 251, 2*p - 235 = -p + 4*s. Suppose 3*i + p = 144. What is the remainder when 73 is divided by i? 10 Suppose -39*l + 35*l = -128. Let h = -3 + 8. Suppose 0*i - 55 = -h*i. What is the remainder when l is divided by i? 10 Suppose -5*i = 4*t - 157 - 57, -272 = -5*t - 4*i. Suppose 34 = 6*c - t. Calculate the remainder when 57 is divided by c. 12 Let c = 48 - 44. What is the remainder when 126 is divided by c/28 - (-669)/21? 30 Let h = -56 + 60. Let p(b) = -b**2 + 8*b - 4. Calculate the remainder when 47 is divided by p(h). 11 Let h be (-2)/(-3) + 506/33. Let j = h - 18. Let k = j + 16. Calculate the remainder when 54 is divided by k. 12 Suppose 0 = -26*x + 18*x + 80. Calculate the remainder when x is divided by 4. 2 Let j = -1015 - -1189. Calculate the remainder when j is divided by 59. 56 Suppose -x + 3*x = 4*b - 2, -x + 11 = 2*b. Let r(o) = o**2 + 7*o - 9. What is the remainder when r(b) is divided by 13? 8 Let o(z) = -3*z - 12. Let i be o(-8). Suppose 0 = -3*n + i, 0 = 4*v + 2*n - 0*n + 104. Let y = 15 - v. Calculate the remainder when y is divided by 9. 7 Let j(b) = -b**2 + 3*b - 4. Let d be j(6). Let t = d - -26. What is the remainder when 14 is divided by t? 2 What is the remainder when 37 is divided by -32 + 26 + 0 + 17? 4 Let v(d) = 9*d - 23. Let q(f) = 4*f - 12. Let o(g) = -7*q(g) + 3*v(g). Calculate the remainder when o(0) is divided by 8. 7 Suppose 0 = x - 3*w + 12 - 77, x - 73 = 5*w. What is the remainder when 120 is divided by x? 14 Let i(w) = -w**2 + 1. Let m be i(4). Let d = m + 17. Suppose -5*t + 77 = -2*y - y, d*t - 10 = -4*y. Calculate the remainder when 21 is divided by t. 8 Let k(f) = -5*f - 34. Let l(t) = 3*t + 14. What is the remainder when k(-8) is divided by l(-4)? 0 Suppose 2*r + 1 = 5*v - 18, 5*v = r + 17. Let b = 52 - v. Calculate the remainder when b is divided by 10. 9 Let j = -53 + 57. Suppose -3*s = -6*s - 3*z + 51, 4*s - j*z - 28 = 0. What is the remainder when 18 is divided by s? 6 Let s = 956 + -882. What is the remainder when s is divided by 8? 2 Let h = -2503 + 2513. Suppose -1 - 53 = -2*p. Calculate the remainder when p is divided by h. 7 Let z(h) = 2*h**2 + 57*h + 55. Suppose 390 = 3*j + 2*j. Calculate the remainder when j is divided by z(-28). 24 Let g = 58 + -25. Let j(r) = 10*r + 5. Let u be j(6). Let m = u - g. Calculate the remainder when m is divided by 11. 10 Suppose s = 4*f, 2*s = -s. Suppose f = -5*j - 4*u + 81 + 15, 4*u - 16 = 0. Calculate the remainder when 81/(-6)*14/(-3) is divided by j. 15 Let r be 58/(-3)*3/(-6)*3. What is the remainder when r*((-4)/(-10))/(22/55) is divided by 15? 14 Let g = 291 - 272. What is the remainder when 49 is divided by g? 11 Let h be (3 - 10/5)*8. Suppose -r + 3*u - h = -5*r, -16 = 4*u. Suppose -p = -r*p + 12. Calculate the remainder when 13 is divided by p. 1 Let t be -7 + 1*4/(-4). Let g = t - -11. Suppose 0 = 5*r - b - 15, -3*b = r - b - 3. Calculate the remainder when r is divided by g. 0 Let m(y) = y + 4. Suppose -3*f + 6*f = 5*j + 45, 16 = -j + 2*f. Calculate the remainder when (57/6)/(j/(-12)) is divided by m(6). 9 Let l = 47 + -39. Let r = 33 - l. What is the remainder when r is divided by 7? 4 Suppose -v - 145 + 162 = 0. Calculate the remainder when 93 is divided by v. 8 Let s = 115 - 69. Suppose n = s - 3. Suppose 0 = -4
{ "pile_set_name": "DM Mathematics" }
ort l, 1, b in decreasing order. l, 1, b Let j be 2/(-12) - 250/(-60). Sort -73, 3, 0, j in descending order. j, 3, 0, -73 Suppose 2 - 5 = 3*a. Suppose -6*z = 32*z - 38. Put z, a, 3, -6 in decreasing order. 3, z, a, -6 Let i = -1888.3 + 1888. Put -22, 9, i, 2/9 in descending order. 9, 2/9, i, -22 Let u(o) = -17*o - 16. Let v be u(-1). Sort -36, -1, v, -2 in increasing order. -36, -2, -1, v Let v = -0.09 + -35.91. Let y = 36.4 + v. Sort -3/5, -0.3, y in decreasing order. y, -0.3, -3/5 Let o be ((-2)/8)/((-20)/37792). Let i = -474 + o. Sort -1/2, -4, i in descending order. -1/2, i, -4 Suppose 5*f = 5*q - 13 - 27, -3*q = f - 28. Suppose -9 = -j - 2*i, 0 = -7*j + 2*j - 2*i + 5. Let p be j/(-3)*3 + -4. Sort 2, q, p in decreasing order. q, 2, p Let v(y) = -5*y**2 - 60*y - 30. Let d be v(-11). Put 2, 4, d in descending order. d, 4, 2 Let a = -35 + 52. Suppose a*v - 40 = 28. Let w(b) = 2*b + 3. Let i be w(-2). Put v, 1, i in descending order. v, 1, i Let c be ((-12)/(-4) - 2)*4/2. Suppose -d + 2*a = 9, -2*d + 2 = -a + 11. Put -0.05, d, c, 5 in decreasing order. 5, c, -0.05, d Let t = 62 - 57. Let h(q) = q**3 + 5*q**2 + 6*q + 3. Let z be h(-4). Put -1, 1, z, t in increasing order. z, -1, 1, t Suppose -2*y - 4*o = 2, -2*o - 19 = -4*y - 43. Suppose -136*s = 61 - 61. Put s, 3, y in increasing order. y, s, 3 Let n = 168 + -160. Put -7, -2/5, n in decreasing order. n, -2/5, -7 Let o(x) = x**3 + x**2 + x. Let u(h) = -3*h**3 - 14*h**2 - 4*h + 5. Let z(n) = -4*o(n) - u(n). Let s be z(10). Put 0, 3, -3, s in descending order. 3, 0, -3, s Let f = 200590/199 + -1008. Let i = f + -384/1393. Sort i, 2/13, 2/19 in ascending order. i, 2/19, 2/13 Let d(u) = -2*u + 11. Let f be d(4). Suppose -2*c = -2*v - 2, 2*c - 11 - f = 5*v. Sort c, -0.1, 0.1 in decreasing order. 0.1, -0.1, c Let b = 34.7 + -34.2. Put b, -1, 0.4, 3 in descending order. 3, b, 0.4, -1 Let c = 0.57 + -5.57. Put c, 15, 1 in decreasing order. 15, 1, c Let q = -52/185 + 3/37. Suppose 113*k + 56 = 99*k. Put -0.5, q, k in increasing order. k, -0.5, q Let g be (6/15)/((-6)/20). Let u = 465 + -461. Sort g, u, -3, 5 in ascending order. -3, g, u, 5 Suppose 4*g + 3*w = 14, 2*g + 6 = g + 4*w. Suppose -2*a + 2 = g*d, -4 = 2*d + 2. Sort -0.3, -2/13, a in descending order. a, -2/13, -0.3 Let f = 0.9 - 4.9. Let n be 6/(-9) + 8/6. Let i = 644 - 640. Sort n, f, i. f, n, i Suppose -4*o + z - 124 = 5*z, z = 5*o + 149. Let f be 4/o + 2 + 8/60. Put -0.1, 0.19, -1, f in decreasing order. f, 0.19, -0.1, -1 Let r be (-10)/2 + (-90 - 11). Let l be r/34 + 3 + (-73)/(-187). Put -5, 2/9, -1, l in descending order. l, 2/9, -1, -5 Let x = 334 + -14360/43. Let q = x - 51/172. Let w = -54 + 51. Sort q, -6, w in descending order. q, w, -6 Let u be (2/(-3))/((-106)/(-18) + 2). Put u, 4, 1/4, -1 in increasing order. -1, u, 1/4, 4 Suppose -9 = 5*y - 2*y. Let q be (y - 0) + 3 + 9. Let j = q + -5. Sort 5, j, 6. j, 5, 6 Let z = -7 - -6.9. Let b = 0.22 + -0.02. Put 5/4, z, b in decreasing order. 5/4, b, z Let y = 369 - 366. Put y, 15, 2, -1 in ascending order. -1, 2, y, 15 Let z = -12/17 + 19/51. Let i = -33 - -30.9. Sort z, 1/8, i in ascending order. i, z, 1/8 Let t = -43.2 - -1.2. Let y = 38 + t. Put 0.6, -0.4, y, 0.4 in increasing order. y, -0.4, 0.4, 0.6 Let i(r) = -28*r + 169. Let k be i(6). Put 5, 3, k in ascending order. k, 3, 5 Suppose -2*w - 2*w = -104. Let t be (-516)/(-312) - 4/w. Sort t, 13, 0.2 in descending order. 13, t, 0.2 Let y = 2677 - 2674. Put y, -5, -2, 2 in decreasing order. y, 2, -2, -5 Let s = -4 - -15. Let w = -5 + s. Let j be (4/(-3))/((-2)/3). Put -3, j, w in descending order. w, j, -3 Suppose -2*m + 5*c = -29, -27*m - 2*c - 6 = -25*m. Sort 1, -1, 5, m in decreasing order. 5, m, 1, -1 Let i = 10.013 - 0.013. Let y = -12.58 - -2.28. Let j = i + y. Sort -2, 4, j in decreasing order. 4, j, -2 Let f(s) = -s**3 - s**2 + 48*s - 46. Let y be f(-7). Sort 0, y, 3, -4 in ascending order. y, -4, 0, 3 Let l = 15/4 - 4. Let v(q) = -q - 17. Let u be v(-7). Let x be (-4)/u*(5 + -10). Put x, 3, l in ascending order. x, l, 3 Let z be (-2 + 4)/(2/56). Suppose -4*w + z = 4. Sort w, -1, -4 in ascending order. -4, -1, w Let w(a) = a**3 + 44*a**2 - 136*a + 234. Let j be w(-47). Suppose -4*c = c - 10. Suppose -4*d - 6 = -5*d + c*u, -3*d + 4*u + 16 = 0. Sort d, 3, j. j, 3, d Suppose 2 = x - 1. Suppose x*h + 2 = 8*f - 3*f, -3*f - 2*h = 14. Suppose -3*u = -3*c - 2*c - 8, -5*c - 28 = 2*u. Put -1, f, u in increasing order. u, f, -1 Let a = 27.972 + 0.028. Let t = a + -19. Let l = 6 - t. Put l, 0.1, 2 in increasing order. l, 0.1, 2 Let m = -25 + 30. Suppose -m*i - 49 = -39. Put 5, -4, i in decreasing order. 5, i, -4 Let n(i) = i**3 - i**2 + i. Suppose 29*q = 34*q - 5. Let p be n(q). Put 5, p, -5/3, -1 in descending order. 5, p, -1, -5/3 Let m = 17 - 17. Let c = m + -0.5. Put -12, 5, c in ascending order. -12, c, 5 Let t(y) = y**3 + 29*y**2 - 30*y - 2. Let d be t(-30). Put d, -6, 3 in descending order. 3, d, -6 Suppose 0 = -4*n + c - 141, -c = -3*n + 2*n - 33. Put 2, -5, -4, n in descending order. 2, -4, -5, n Suppose 9 = s + 1. Let a be 9/7 - (-2)/(-7). Sort s, a, -2 in descending order. s, a, -2 Suppose 8*y = -21 + 53. Sort 1, 0.14, y in descending order. y, 1, 0.14 Let y = -21 + 5. Let k = -13 - y. Suppose 6 = -2*d + k*a, -d - 4*a = -9*a + 10. Sort 2/9, 0.04, d in descending order. 2/9, 0.04, d Let l be 12/33 - 213/132. Put -11, l, 3/8 in decreasing order. 3/8, l, -11 Let z be (9/(-21))/((-3)/84*4). Sort 4, 0, z, 1 in decreasing order. 4, z, 1, 0 Let j = -3/301 + 337/3612. Sort 4, j, -4/11 in decreasing order. 4, j, -4/11 Let h(s) = 3*s**2 - s. Let m be h(-1). Suppose -d = -m*d - 4*z - 3, -8 = d - z. Suppose -3*w = -w - 8. Put -7, d, w in decreasing order. w, d, -7 Suppose -3 = -2*n - 11. Let u(s) = 3*s + 14. Let m be u(-4). Sort n, -3, m in descending order. m, -3, n Let o = 54 - 49. Suppose 2*x + p = o*x + 1, -5*x = 3*p + 11. Suppose 0*i = i + 5. Put i, 8, x in decreasing order. 8, x, i Let t(d) = d**3 + 6*d**2 + 7*d + 15. Let i be t(-5). Suppose 2*y = -i - 9. Let f = 12 + -9. Sort f, 2, y in ascending order. y, 2, f Let b(n) = n - 7. Let l be b(9). Let c be (l + 0)/(10/15). Suppose t = 5*i - 17, 22 = -5*t + 3*i + i. Sort c, t, -4. -4, t, c Let b(p) = -p**3 - 4*p**2 - 3. Let w be b(-4). Let f be (-12)/4 - (-2 + 1). Let m be 0/(f - 0 - -1). Put m, 5, w in ascending order. w, m, 5 Let u(m) = -2*m + 5 + 2*m + m. Let x be (-58)/14 - 2/(-14). Let b be u(x). Sort b, 4, 0. 0, b, 4 Suppose -f - 2*i + 22 = f, 2*i = 6. Suppose 0 = -3*h + 4*l + 2, 3*h + 0*l - f = -2*l. Let w be (-20)/(-6) + h/3. Sort w, -2, 5 in ascending order. -2, w, 5 Suppose 6*p = p - k - 19, 2*p + 14 = -2*k. Let v = -40 + 70. Let t be (v/45)/(1/(-3)). Sort p, -1, t. p, t, -1 Let k = 2.556 - 0.126. Let a = k + 0.57. Put 5, -1/2, a, -0.1 in decreasing order. 5, a, -0.1, -1/2 Let k = 12.868 + -0.168. Let c = k + -9.7. Sort 0.1, 4/7, c in increasing order. 0.1, 4/7, c Let v = 47 + -8. Let i = 0 + v. Sort 5, -2/7, i, -4. -4, -2/7, 5, i Let p be (-3)/(-1 - -10)*6*-14. Let r = -27 + p. Put -2, r, 2, -7 in descending order. 2, r, -2, -7 Let o = 4 - 1. Suppose 4*b - 17 = -29, -b = -4*d + 83. Sort d, o, -1 in ascending order. -1, o, d Let s be 4 - ((-212)/(-60) - (-6)/45). Sort s, -4, -1/5, -0.4 in ascending order. -4, -0.4, -1/5, s Let w = -1.47 - 2.53. Sort 708, w, 0.1. w, 0.1, 708 Let x = 4.9 - 0.9. Let o = 0.02 - 3.02. Let y = 9 - 2. Put y, o, x in descending order. y, x, o Let f = 0.883 - 1.083. Let h be -3 + (-69)/(-12) + -3. Put h, -1/3, f in decreasing order. f, h, -1/3 Let c be (-53 - -49)/(3 - 1). Sort c, 3, -5, 72 in ascending order. -5, c, 3, 72 Let i = 9 - 14. Suppose 66 + 6 = 6*d. Suppose 2*l + j = -l + 16, 2*j = 5*l - d. Sort l, i, 3 in descending order. l, 3, i Suppose -495 = 16*v - 7*v. Let m be 4/5 - 176/v. Sort 3, 5, m. 3, m, 5 Suppose -6*a + a - 2*f = 16, -5*f - 17 = a. Let m be (-1 - -4) + (-1)/(-1). Let y = 1 + m. Put -3, a, y in ascending order. -3, a, y Let r be 13/1*-4*5/10. Let u = -21 - r. Put 4, 0.08, u, 0 in decreasing order. u, 4, 0.08, 0 Let v(d) = -d + 5. Let z be v(3). Let o be 352/60 - (7 - 1). Put z, -0.3, o, -1/5 in increasing order. -0.3, -1/5, o, z Let u = 1004 - 7024/7. Put u, 1, 1.9, 1/2 in decreasing order. 1.9, 1, u, 1/2 Let l(w) = -w**3 - 9*
{ "pile_set_name": "DM Mathematics" }
h = 3542 + -1804. What is the tens digit of h? 3 Let v(f) = -f - 12. Let h(s) = 5*s + 60. Let q(x) = -2*h(x) - 11*v(x). What is the tens digit of q(5)? 1 Let d = 54 - -1624. What is the thousands digit of d? 1 Let u be (6/(-4))/(12/32). Let d be (-7 + 5)*10/u. Suppose o + o = -5*c + 84, d*c - 4*o = 102. What is the units digit of c? 8 Suppose -3*b - 255 - 188 = -5*v, -2*v + 3*b + 170 = 0. Let j = -40 + v. What is the units digit of j? 1 Suppose 0 = 3*f - 3, -4234 = -2*q + 3*f + 77. What is the thousands digit of q? 2 Let f = 484 - -357. What is the units digit of f? 1 Suppose 4*x + k = 2603, -10*k - 3254 = -5*x - 11*k. What is the tens digit of x? 5 Suppose 3*y - 2*p - 7 = -0, -9 = -4*y + 3*p. Suppose 0 = y*a + 4*i - 17, a - 4*i = i - 7. Suppose a*h = 2*h + 26. What is the units digit of h? 6 Let d be (-12)/(-4) - (2 + -17). Suppose d = t + 5*t. What is the units digit of t? 3 Let q be (1 - -9) + (-2 - 0). Let x(l) = l**3 - 3*l. Let a be x(q). Suppose -a = -7*n - n. What is the units digit of n? 1 Let u(f) be the second derivative of -f**6/720 + f**5/30 + f**4/6 + 2*f. Let w(p) be the third derivative of u(p). What is the units digit of w(0)? 4 Let p = 58 + -54. Suppose j - 235 = -p*j. What is the units digit of j? 7 What is the tens digit of (2/4 + -1)/((-29)/26332)? 5 Let b be 9/6*(-12)/(-9). Suppose -b*v + 29 + 151 = 0. What is the units digit of v? 0 Let d = -824 + 1763. What is the hundreds digit of d? 9 Let k be (-1020)/45*(-21)/2. Suppose -k - 32 = -5*s. What is the tens digit of s? 5 Let l = 8 + -3. Suppose l*o - 208 = z, -4*o - 3*z = -4*z - 167. What is the units digit of o? 1 Let b(j) = j + 17. Let l be b(-11). Suppose -5*n + l = -4. What is the units digit of 4 + -1*6/n? 1 Let o(b) = -b**3 + 20*b**2 - 39*b - 17. What is the tens digit of o(16)? 8 Let n(c) = -c**3 - 21*c**2 - 54*c - 18. What is the tens digit of n(-20)? 6 Let r be (3 - -40) + -1 + -3. Suppose 0 = -0*m + 3*m + 2*g - 78, -5*g + r = m. What is the tens digit of m? 2 Suppose 45*p - 46*p = -348. What is the tens digit of p? 4 Suppose -5*s + 3*w - 4 = -373, 3*s + w = 227. Suppose -3*j + 432 + s = 0. What is the tens digit of j? 6 Suppose 0 = 2*y - 9*s + 6*s - 681, -5*y - 4*s = -1668. What is the units digit of y? 6 Suppose -4*b = 4*v - 7*v + 57, -v = b - 12. Let w be 9 - -6*(-10)/v. Suppose 0 = -4*s + 203 + w. What is the units digit of s? 2 Suppose -5*b = -3*w - 5050, b + 1012 = 2*b - w. What is the hundreds digit of b? 0 Let r(o) = -2*o**3 - 18*o**2 - 8*o + 45. What is the units digit of r(-14)? 7 Let w(a) = -a**3 + 15*a**2 + 2*a - 7. Let m be w(15). Suppose -m*j + 4191 + 317 = 0. What is the hundreds digit of j? 1 Suppose -5*b + 4*b + 5 = 0. Suppose -b*i + 24 = -2*i. What is the units digit of 1/((-4 + 8)/i)? 2 Let u(f) = -16*f + 84. Let q = -93 + 86. What is the units digit of u(q)? 6 What is the units digit of 19/(-57) + (-1645)/(-3)? 8 Let o(t) = -t**3 + 5*t**2 - 4*t - 1. Let f be o(2). Suppose 2*s - 562 = -4*a + 3*s, 5*a - 699 = f*s. What is the hundreds digit of a? 1 Let n(j) = -114*j - 287. What is the hundreds digit of n(-23)? 3 Let x = 474 - 0. What is the units digit of x? 4 Suppose 0 = -2*r - 2*g + 15 - 5, -5*r + 25 = 4*g. Suppose -s - 31 = -r*q - 171, -390 = -3*s + 5*q. What is the hundreds digit of s? 1 Suppose 4*b - 3*i = -43, 4*i = b + i + 4. Let t = 92 + b. What is the tens digit of t? 7 Suppose 4*h - 2*p = -3*p + 32, -5*p = h - 8. Suppose -h*v - 760 = -16*v. What is the tens digit of v? 9 Let c be -4 - 3*(0 - 1). Let w be (c/4)/(2/(-16)). Suppose -4*v = w*r - 8*v - 28, -20 = 5*v. What is the units digit of r? 6 Let w(q) = -3*q**2 + 16*q - 6. Let l = -7 - -13. Let x be w(l). Let p = x - -22. What is the units digit of p? 4 What is the units digit of (4 - 156/9)/((-2)/81)? 0 Suppose 42*c + 1925 = 47*c. What is the hundreds digit of c? 3 Suppose 2*y + 5 - 1 = 0, 3*y + 70 = 4*s. Let p = s + -10. Suppose -4*d + p*r = 3*r - 130, d = -r + 29. What is the units digit of d? 1 What is the hundreds digit of 4/2 - (-2 + -661)? 6 Let h = 6207 + -3533. What is the thousands digit of h? 2 Suppose 5*v = -5*z + 15, -15 = -v - 2*z - 2*z. What is the hundreds digit of (v/((-14)/(-21)))/((-1)/94)? 1 What is the thousands digit of (-10 - 0)/(-2) - 1285965/(-765)? 1 Let s(m) = -m**3 + 4*m**2 - 2*m + 7. Let n be s(3). What is the units digit of (4/n)/((-9)/(-1305))? 8 Let n(k) = 6*k - 2. Let v be n(-2). What is the tens digit of 32/v + 2 - (-4064)/14? 9 Let o(t) = -2*t + 0*t**2 - 2 + 5*t**2 - 73*t**3 + 74*t**3 - t**2. What is the units digit of o(-4)? 6 Let o = -2041 - -3779. What is the hundreds digit of o? 7 Suppose -3*u + 2*k - 118 = 0, 82 = -3*u - 3*k - 56. Let m = u + 59. What is the tens digit of m? 1 Let s(k) = k**3 - 19*k**2 + 8*k + 18. What is the hundreds digit of s(21)? 0 Let n(j) = j - 3. Let v be 22/(-14) + (-3)/7. Let o be n(v). Let b(l) = l**2 - 9*l - 7. What is the tens digit of b(o)? 6 Let q(t) = -t**2 - 10. Let n be q(0). Let c(x) be the second derivative of -x**5/20 - 11*x**4/12 - 11*x**3/6 + 4*x**2 + 161*x. What is the tens digit of c(n)? 1 Let l be 6 - 20/3 - 4/(-6). Suppose n + o - 121 = l, -5*n + 2*o + 619 = -0*n. What is the hundreds digit of n? 1 Let n(l) = l + 74. Let g be n(12). Let h(t) = t**2 - 3*t + 7. Let s be h(-5). Let a = g - s. What is the tens digit of a? 3 Let g(r) = -4*r - 12. Let z be g(-3). Suppose z = -10*o + 5*o + 20. What is the tens digit of ((-118)/o)/((-3)/6)? 5 Let j(f) = f**3 - 3*f**2 + 2*f + 2. Let a be j(2). Suppose 3*t - 40 = a*t. Suppose -14 = -3*g + t. What is the units digit of g? 8 Let d(i) = -2*i + 5. Let o be ((-4)/3)/((-5)/(-30)). Let z be d(o). Suppose 4*l - 31 = -5*n + 2, -z = -4*n - 5*l. What is the units digit of n? 9 Suppose -64*y - 3897 = -73*y. What is the tens digit of y? 3 Suppose 0 = 4*q - 4*j + j + 95, -5*q - 105 = -j. Let b = 83 + q. What is the tens digit of b? 6 Suppose q - 569 = -2*p, 3*p + 2*q - 853 = -0*q. Let o = 583 - p. What is the units digit of o? 8 Suppose -7*q - 1604 = -12*q + 3*y, 0 = 2*q - 4*y - 636. What is the hundreds digit of q? 3 Let b be 10/40 + 103/4. Let p be ((-4)/34)/1 + 8203/221. Let y = p - b. What is the tens digit of y? 1 Let d = 54 + -112. Let u = d + 106. Let a = -23 + u. What is the units digit of a? 5 Suppose -5*w + 2*z - 6 = -z, -2*w - 8 = -4*z. Suppose w = -4*m + m + 15. Suppose -2*r + m*h + 71 = 0, 2 = 2*h + 12. What is the units digit of r? 3 Let r = 14 - 9. Let z(o) = -o**3 + 6*o**2 - 5*o - 1. Let t be z(r). What is the units digit of t + 1/((-3)/(-42))? 3 Let d be 9/4 + 3/(-12). Suppose i - 3 = -3*o + d*i, -4*o + 4 = 5*i. What is the units digit of o/((-3)/39*-1)? 3 Let s(t) = 3*t + 7. Let l(m) = -3*m - 7. Let x(d) = -6*l(d) - 7*s(d). Let f(b) = -b**3 - 5*b**2 + 2*b + 5. Let k be f(-5). What is the units digit of x(k)? 8 Let g(a) = 94*a - 10. What is the units digit of g(3)? 2 Suppose 0 = -4*m + 268 + 608. Let h = -110 + m. What is the tens digit of h? 0 Let k = 778 + -334. What is the units digit of k? 4 Let q be 3 + -9 + (-5)/(-7 + 2). Let a(u) = 3*u - 6. Let k(m) = -3*m + 6. Let o(j) = 2*a(j) + 3*k(j). What is the tens digit of o(q)? 2 Suppose 4*k = -2*h - 2*h + 36, 2*k = 2*h - 2. What is the units digit of 239 + -2 - (k - 0)? 3 Let j(u) = 5 + 3*u**2 + u**2 - 5*u - 3*u**2. Let a(s) = s**2 - 17*s - 133. Let z be a(23). What is the units digit of j(z)? 5 Let g = 208 + 58. What is the units digit of g? 6 Suppose 4*c - 556 = 5*c - 3*b, 0 = 3*c + b + 1678. Let a = 785 + c. What is the tens digit of a? 2 Suppose 2*r - 7*r = -2130. What is the units digit of (r/9)/(2/3)? 1 Let m = -2527 + 4841. What is the hundreds digit of m? 3 Let o(l) = 14*l**2 - 1. Let s be o(-1). Suppose -2*c + 59 + s = 0. What is the tens digit of c? 3 Suppose 4*q - 6 = 5*j, 2*j + 6 - 4 = 2*q. What is the units digit of (2/(-6)*j)/(3/18)? 4 Suppose 4*u + 2*b - 6 = 0, 3*u + 0*b = -b + 6. Suppose -u = -3*n + 6. Suppose -n*f + 10 = -2. What is the units digit of f? 4 Let v(d) = -8*d - 17. Suppose 10 - 3 = -a. What is the units digit of v(a)? 9 Suppose 2 = -2*h - 0*h + 2*b, 2*h + 3*b - 13 = 0. Suppose -h*m - 15 = -3*m - 3*l, 0 = 4*m - l - 21. Suppose 3*u = 3 + m. What is the units digit of u? 3 Suppose 0 = -5*n + 7*n - 188. Suppose -t - t = -n. What is the units digit of t? 7 Suppose 0 = -3*k + 4 - 16
{ "pile_set_name": "DM Mathematics" }
2, c: 7}? 0 Calculate prob of picking 2 u when two letters picked without replacement from {d: 4, e: 1, l: 9, u: 2}. 1/120 What is prob of picking 1 p and 3 z when four letters picked without replacement from {z: 11, p: 1}? 1/3 What is prob of picking 1 j and 1 e when two letters picked without replacement from jyyyjjyyyyyjeyyyyyyj? 1/38 Calculate prob of picking 1 g and 1 h when two letters picked without replacement from ghbbggbbgbb. 4/55 Three letters picked without replacement from zbrcrxrbbbxcbcb. Give prob of picking 1 x and 2 b. 6/91 Two letters picked without replacement from {n: 2, i: 2, z: 1}. Give prob of picking 1 z and 1 n. 1/5 Two letters picked without replacement from {b: 9, l: 3}. What is prob of picking 2 b? 6/11 What is prob of picking 1 d and 1 p when two letters picked without replacement from {r: 2, d: 1, l: 1, t: 1, p: 2}? 2/21 What is prob of picking 1 b and 2 d when three letters picked without replacement from {d: 12, b: 6, g: 1}? 132/323 Three letters picked without replacement from {e: 3, t: 2}. What is prob of picking 2 t and 1 e? 3/10 Calculate prob of picking 2 a and 1 f when three letters picked without replacement from {a: 6, f: 12}. 15/68 Two letters picked without replacement from {i: 4, k: 2, g: 1, d: 1, w: 3}. What is prob of picking 1 w and 1 i? 12/55 What is prob of picking 1 d and 1 j when two letters picked without replacement from {d: 6, j: 4, t: 4}? 24/91 Four letters picked without replacement from {o: 10, v: 2}. Give prob of picking 4 o. 14/33 Three letters picked without replacement from {k: 2, r: 9, y: 1, e: 1}. Give prob of picking 3 r. 42/143 Four letters picked without replacement from whwgwwhwlgzhwwhzhw. Give prob of picking 1 l and 3 w. 14/765 Four letters picked without replacement from ggjggjg. What is prob of picking 4 g? 1/7 What is prob of picking 2 q when two letters picked without replacement from {q: 4, w: 6}? 2/15 Two letters picked without replacement from {s: 3, v: 1}. What is prob of picking 1 v and 1 s? 1/2 Calculate prob of picking 1 e and 1 a when two letters picked without replacement from eaje. 1/3 Three letters picked without replacement from iniiiniiniinii. What is prob of picking 2 n and 1 i? 15/91 What is prob of picking 1 p and 3 n when four letters picked without replacement from nngnnnpnnnnpnpn? 33/91 Calculate prob of picking 3 d and 1 h when four letters picked without replacement from {x: 1, d: 6, h: 5, c: 4}. 5/91 Two letters picked without replacement from jjjddajhvjjv. What is prob of picking 2 v? 1/66 Calculate prob of picking 1 f and 1 i when two letters picked without replacement from siifjxxiijjxx. 2/39 Two letters picked without replacement from jjjjjujjjuujuu. What is prob of picking 2 j? 36/91 What is prob of picking 1 f and 2 w when three letters picked without replacement from zmfwwsmuzzffssz? 3/455 Three letters picked without replacement from ugittbia. Give prob of picking 1 i, 1 b, and 1 u. 1/28 Two letters picked without replacement from {e: 3, w: 4, v: 11}. Give prob of picking 1 v and 1 e. 11/51 Three letters picked without replacement from fzszssfufuuuswsuzz. Give prob of picking 1 z, 1 w, and 1 u. 5/204 Calculate prob of picking 1 s and 1 n when two letters picked without replacement from wwesbwwnejbnenbewwe. 1/57 Three letters picked without replacement from yciiccyyc. Give prob of picking 3 c. 1/21 What is prob of picking 2 m when two letters picked without replacement from allbablalqllllllmml? 1/171 Two letters picked without replacement from {j: 5, l: 2, w: 5}. What is prob of picking 2 l? 1/66 Three letters picked without replacement from hhyfyyyyxhfhtyxhyh. What is prob of picking 1 f and 2 h? 5/136 Calculate prob of picking 2 n when two letters picked without replacement from {n: 17, m: 1}. 8/9 Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {h: 1, l: 8, f: 1, j: 1, c: 6}. 21/85 What is prob of picking 2 q when two letters picked without replacement from dbfbdbqfddbqd? 1/78 What is prob of picking 1 c and 2 q when three letters picked without replacement from {q: 7, c: 2, d: 3}? 21/110 Three letters picked without replacement from ggvvmmgm. What is prob of picking 1 g and 2 m? 9/56 Calculate prob of picking 3 x and 1 g when four letters picked without replacement from {x: 1, b: 1, i: 4, g: 2}. 0 Calculate prob of picking 1 n and 2 c when three letters picked without replacement from {n: 1, u: 1, c: 4, j: 6, d: 1, a: 3}. 3/280 What is prob of picking 2 n and 2 h when four letters picked without replacement from {n: 10, t: 4, b: 1, h: 5}? 30/323 Four letters picked without replacement from crrcrcrrpcprrrvpctc. Give prob of picking 2 p and 2 r. 7/323 Four letters picked without replacement from {j: 4, l: 6, v: 1, p: 3, a: 1}. What is prob of picking 1 a, 2 l, and 1 j? 4/91 Calculate prob of picking 1 i and 1 m when two letters picked without replacement from amsiluu. 1/21 Two letters picked without replacement from oebezdu. What is prob of picking 1 z and 1 u? 1/21 Calculate prob of picking 1 t and 1 b when two letters picked without replacement from tttttbttbtbttttttb. 56/153 Calculate prob of picking 2 g and 1 i when three letters picked without replacement from gigkiggbgggbg. 28/143 Calculate prob of picking 2 b when two letters picked without replacement from bibmbhhbsbibhif. 1/7 What is prob of picking 2 q and 1 x when three letters picked without replacement from {p: 2, x: 1, c: 3, q: 3, m: 1, h: 2}? 3/220 Two letters picked without replacement from bvvcbbbbavdvbvbvb. Give prob of picking 2 b. 7/34 Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {x: 1, w: 2, h: 5, g: 1}. 1/18 What is prob of picking 2 f and 1 u when three letters picked without replacement from uuuuuuuuuuuuuuuuffu? 1/57 Two letters picked without replacement from {j: 3}. Give prob of picking 2 j. 1 Four letters picked without replacement from {u: 5, p: 13}. Give prob of picking 2 p and 2 u. 13/51 Calculate prob of picking 1 e and 1 n when two letters picked without replacement from neeeennnnnneeeneeend. 9/19 What is prob of picking 3 d and 1 g when four letters picked without replacement from dddddhghhgdhd? 14/143 Three letters picked without replacement from lyyyyyllyy. Give prob of picking 3 l. 1/120 Two letters picked without replacement from {d: 1, p: 1, i: 2}. What is prob of picking 1 i and 1 d? 1/3 Two letters picked without replacement from {g: 3, p: 1}. Give prob of picking 1 g and 1 p. 1/2 Calculate prob of picking 1 x, 1 q, and 2 d when four letters picked without replacement from dqyqdkkqkxnkxqxdx. 12/595 What is prob of picking 1 a and 1 u when two letters picked without replacement from uuaaaaauaaaauaauaua? 26/57 Calculate prob of picking 1 p and 1 o when two letters picked without replacement from potooomopomb. 2/11 Two letters picked without replacement from {x: 5, o: 3}. Give prob of picking 1 o and 1 x. 15/28 Three letters picked without replacement from ynginifgsfgsyyg. Give prob of picking 1 y, 1 n, and 1 i. 12/455 Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {n: 2, h: 2, f: 5}. 1/9 What is prob of picking 1 l and 1 r when two letters picked without replacement from lrrkrrlkylklkkrqkr? 8/51 Calculate prob of picking 1 b and 1 e when two letters picked without replacement from {k: 1, e: 6, b: 4}. 24/55 Two letters picked without replacement from wwrwwttrrtwwwwwwrwww. Give prob of picking 2 w. 39/95 Three letters picked without replacement from oqiixtttktktqqi. What is prob of picking 2 k and 1 o? 1/455 Three letters picked without replacement from {o: 1, s: 1, y: 2, u: 2, r: 1, d: 1}. What is prob of picking 2 y and 1 s? 1/56 Three letters picked without replacement from ddppp. What is prob of picking 2 p and 1 d? 3/5 Three letters picked without replacement from rcrcou. What is prob of picking 2 r and 1 u? 1/20 Calculate prob of picking 2 k, 1 c, and 1 o when four letters picked without replacement from ofklbcffcofk. 4/495 Two letters picked without replacement from {p: 4, k: 7, t: 7}. What is prob of picking 2 t? 7/51 Three letters picked without replacement from {h: 2, p: 1, t: 3, z: 1}. Give prob of picking 1 h and 2 t. 6
{ "pile_set_name": "DM Mathematics" }
ore 12:58 PM? 8:03 AM How many minutes are there between 3:40 PM and 9:54 PM? 374 What is 401 minutes after 4:33 PM? 11:14 PM What is 394 minutes before 5:39 PM? 11:05 AM How many minutes are there between 12:15 AM and 10:31 AM? 616 How many minutes are there between 11:24 AM and 1:53 PM? 149 How many minutes are there between 7:17 AM and 10:04 AM? 167 How many minutes are there between 6:40 PM and 1:28 AM? 408 How many minutes are there between 7:58 PM and 10:22 PM? 144 How many minutes are there between 7:50 PM and 3:43 AM? 473 What is 145 minutes before 3:25 AM? 1:00 AM How many minutes are there between 5:35 PM and 12:59 AM? 444 How many minutes are there between 7:08 PM and 7:18 PM? 10 What is 209 minutes before 10:04 AM? 6:35 AM What is 685 minutes before 10:53 PM? 11:28 AM How many minutes are there between 1:00 PM and 3:55 PM? 175 How many minutes are there between 4:04 PM and 2:47 AM? 643 How many minutes are there between 1:32 AM and 2:20 AM? 48 How many minutes are there between 12:27 AM and 5:19 AM? 292 How many minutes are there between 4:49 PM and 9:44 PM? 295 How many minutes are there between 1:19 AM and 1:31 AM? 12 What is 107 minutes before 3:52 AM? 2:05 AM How many minutes are there between 4:13 AM and 4:51 AM? 38 What is 557 minutes after 1:28 PM? 10:45 PM What is 265 minutes after 2:34 PM? 6:59 PM What is 597 minutes before 12:08 AM? 2:11 PM How many minutes are there between 12:35 AM and 10:44 AM? 609 How many minutes are there between 5:31 AM and 3:18 PM? 587 How many minutes are there between 1:33 PM and 10:40 PM? 547 How many minutes are there between 5:23 PM and 4:56 AM? 693 What is 525 minutes after 9:24 AM? 6:09 PM How many minutes are there between 8:59 AM and 8:02 PM? 663 What is 296 minutes after 8:50 PM? 1:46 AM How many minutes are there between 2:15 PM and 10:23 PM? 488 What is 148 minutes after 10:38 AM? 1:06 PM How many minutes are there between 10:56 AM and 9:58 PM? 662 How many minutes are there between 10:28 PM and 3:55 AM? 327 What is 255 minutes after 4:03 PM? 8:18 PM How many minutes are there between 9:31 AM and 8:51 PM? 680 What is 315 minutes after 4:13 AM? 9:28 AM What is 207 minutes before 1:05 AM? 9:38 PM What is 253 minutes after 6:20 AM? 10:33 AM How many minutes are there between 1:33 AM and 5:10 AM? 217 What is 115 minutes after 7:24 PM? 9:19 PM How many minutes are there between 8:28 PM and 2:35 AM? 367 How many minutes are there between 8:41 AM and 3:27 PM? 406 How many minutes are there between 10:18 PM and 4:11 AM? 353 How many minutes are there between 9:30 AM and 8:55 PM? 685 How many minutes are there between 6:11 AM and 8:56 AM? 165 What is 41 minutes after 5:01 AM? 5:42 AM What is 279 minutes before 10:42 PM? 6:03 PM How many minutes are there between 7:14 AM and 8:04 AM? 50 How many minutes are there between 8:57 AM and 5:07 PM? 490 How many minutes are there between 9:15 PM and 2:46 AM? 331 What is 617 minutes after 5:04 AM? 3:21 PM What is 9 minutes before 7:39 AM? 7:30 AM How many minutes are there between 2:26 AM and 12:54 PM? 628 What is 154 minutes after 8:31 PM? 11:05 PM What is 419 minutes before 1:46 AM? 6:47 PM What is 209 minutes after 10:04 AM? 1:33 PM How many minutes are there between 6:12 PM and 9:49 PM? 217 How many minutes are there between 1:26 PM and 5:21 PM? 235 What is 474 minutes before 7:56 AM? 12:02 AM How many minutes are there between 4:22 PM and 5:01 PM? 39 How many minutes are there between 7:51 PM and 3:25 AM? 454 How many minutes are there between 2:25 PM and 5:18 PM? 173 How many minutes are there between 1:23 AM and 4:47 AM? 204 How many minutes are there between 7:17 PM and 10:18 PM? 181 What is 60 minutes before 12:01 PM? 11:01 AM What is 665 minutes after 3:14 AM? 2:19 PM How many minutes are there between 3:07 PM and 7:32 PM? 265 How many minutes are there between 11:29 PM and 4:53 AM? 324 What is 315 minutes after 4:05 AM? 9:20 AM What is 667 minutes after 3:12 PM? 2:19 AM What is 592 minutes after 7:43 PM? 5:35 AM What is 559 minutes before 10:47 AM? 1:28 AM What is 71 minutes before 4:02 AM? 2:51 AM How many minutes are there between 2:52 PM and 4:43 PM? 111 How many minutes are there between 9:31 PM and 12:18 AM? 167 How many minutes are there between 9:25 AM and 7:08 PM? 583 What is 616 minutes after 11:21 AM? 9:37 PM How many minutes are there between 6:42 PM and 2:34 AM? 472 What is 444 minutes before 9:24 AM? 2:00 AM How many minutes are there between 8:58 AM and 6:36 PM? 578 How many minutes are there between 9:14 PM and 10:43 PM? 89 What is 454 minutes before 3:47 PM? 8:13 AM How many minutes are there between 11:33 PM and 4:55 AM? 322 What is 62 minutes before 11:50 AM? 10:48 AM What is 535 minutes before 11:59 AM? 3:04 AM What is 154 minutes before 7:57 AM? 5:23 AM How many minutes are there between 1:21 PM and 2:00 PM? 39 How many minutes are there between 10:03 AM and 2:23 PM? 260 How many minutes are there between 6:05 PM and 10:11 PM? 246 How many minutes are there between 7:51 PM and 1:01 AM? 310 How many minutes are there between 10:37 PM and 7:02 AM? 505 How many minutes are there between 3:49 AM and 1:09 PM? 560 How many minutes are there between 4:22 AM and 6:47 AM? 145 How many minutes are there between 9:16 PM and 3:23 AM? 367 How many minutes are there between 12:01 PM and 7:05 PM? 424 What is 251 minutes after 6:44 PM? 10:55 PM How many minutes are there between 6:54 PM and 6:03 AM? 669 What is 672 minutes after 5:07 AM? 4:19 PM How many minutes are there between 3:48 PM and 2:00 AM? 612 What is 400 minutes before 3:47 AM? 9:07 PM What is 91 minutes before 7:14 PM? 5:43 PM How many minutes are there between 3:49 PM and 8:58 PM? 309 What is 160 minutes before 3:21 PM? 12:41 PM What is 474 minutes after 3:23 PM? 11:17 PM What is 35 minutes after 6:31 AM? 7:06 AM How many minutes are there between 1:56 PM and 3:37 PM? 101 What is 526 minutes before 5:03 PM? 8:17 AM What is 71 minutes after 8:49 PM? 10:00 PM What is 667 minutes after 10:48 PM? 9:55 AM How many minutes are there between 6:17 PM and 10:17 PM? 240 What is 155 minutes after 1:25 PM? 4:00 PM How many minutes are there between 12:28 PM and 10:11 PM? 583 What is 573 minutes after 8:34 AM? 6:07 PM What is 260 minutes before 12:37 AM? 8:17 PM How many minutes are there between 11:21 AM and 6:00 PM? 399 How many minutes are there between 3:39 AM and 1:15 PM? 576 What is 153 minutes after 11:20 AM? 1:53 PM What is 324 minutes after 1:22 PM? 6:46 PM What is 618 minutes before 8:01 PM? 9:43 AM What is 295 minutes after 1:48 AM? 6:43 AM What is 207 minutes before 2:14 AM? 10:47 PM How many minutes are there between 12:05 AM and 7:03 AM? 418 What is 508 minutes before 2:59 AM? 6:31 PM What is 663 minutes after 1:02 PM? 12:05 AM How many minutes are there between 7:23 PM and 4:26 AM? 543 How many minutes are there between 12:20 PM and 3:57 PM? 217 What is 175 minutes before 12:45 AM? 9:50 PM What is 408 minutes before 1:38 AM? 6:50 PM How many minutes are there between 7:05 PM and 8:14 PM? 69 What is 559 minutes before 5:50 AM? 8:31 PM What is 607 minutes before 1:13 PM? 3:06 AM How many minutes are there between 2:11 AM and 8:53 AM? 402 How many minutes are there between 6:19 AM and 2:05 PM? 466 What is 404 minutes after 8:51 AM? 3:35 PM What is 120 minutes after 11:33 PM? 1:33 AM What is 50 minutes after 9:53 PM? 10:43 PM What is 558 minutes before 11:02 AM? 1:44 AM What is 254 minutes after 7:08 AM? 11:22 AM What is 463 minutes before 9:41 AM? 1:58 AM What is 715 minutes after 4:57 PM? 4:52 AM What is 203 minutes before 2:09 PM? 10:46 AM What is 371 minutes after 12:05 AM? 6:16 AM How many minutes are there between 11:46 AM and 10:17 PM? 631 What is 126 minutes before 1:25 PM? 11:19 AM How many minutes are there between 5:32 AM and 6:22 AM? 50 What is 599 minutes before 6:39 AM? 8:40 PM How many minutes are there between 4:29 AM and 8:59 AM? 270 What is 387 minutes after 4:27 PM? 10:54 PM How many minutes are there between 11:54 PM and 8:04 AM? 490 What is 681 minutes before 2:17 AM? 2:56 PM How many minutes are there between 1:54 PM and 4:06 PM? 132 What is 463 minutes before 1:10 AM? 5:27 PM How many minutes are there between 1:57 AM and 4:22 AM? 145 How many minute
{ "pile_set_name": "DM Mathematics" }
*p**(-7)*p*p)*p**(-5)/(p/((p*p**(-4))/p))*(p*p**2*p)**(-6/17)*(p**(-9)/p)/((p/(p/((p*p**4)/p*p)))/p) assuming p is positive. p**(-381/17) Simplify (c**5*c*c*c**0)**(-1)*(c**0)**4*(c**(-1))**44 assuming c is positive. c**(-51) Simplify (v/(v*v*v**2))/v*v**(-3)*((((v/(v*(v**0*v)/v)*v*v)/v)/v)/v)**(-47)*(v**(-4)*((v**(-1)*v*v)/v)/v)**9 assuming v is positive. v**(-5) Simplify (l**4/(l**(-3)*l)*l/(l/l**(-2/17))*l*l**5)/((l*l**(2/7))**47*((l*l**(-1))/l)/(l/(l*l*l**(2/5)/l))) assuming l is positive. l**(-28528/595) Simplify (r**(11/6)*r)/r*r**(-44)*r/r**9*r**(-6/17)*r assuming r is positive. r**(-5051/102) Simplify y**0*y**(1/5)*(y*y**(-3))/y**(-1/4)*y*y**0*y**(-1/7)*(y**(-1/2))**(-45) assuming y is positive. y**(3053/140) Simplify (y**(-6)*(y/(((y/((y/y**(-4))/y*y)*y)/y)/y))/y*y*(y*y**2)**(-36))/(y**(-5)*y**5*y**(6/5)/(y*y**(-7))) assuming y is positive. y**(-576/5) Simplify ((f**(-4)/f)**(-1/5))**1/((f*((f*f*f**4/f)/f)/f)/(f/(f*f**(-1/2))))**(-30) assuming f is positive. f**106 Simplify ((j/(j/(j/j**(1/6)*j)*j))**(2/107)*(j**(-5))**1)**(-7/10) assuming j is positive. j**(1120/321) Simplify (v**(-2/29)*v*v**(-2/19)*((v*v**(-1))/v)**1)**(-2) assuming v is positive. v**(192/551) Simplify (((q/q**(4/5)*q)/(q**(-1/7)/q))/(q**0*q/q**(3/2)*q))/(((q**(1/3)/q*q)/q)**(-14))**(-27) assuming q is positive. q**(17769/70) Simplify ((u**(1/3)/u)**(-9/4))**(16/7)*((u/u**(4/9))/((u*u*((u**(-8)/u)/u)/u)/u))**(6/7) assuming u is positive. u**(262/21) Simplify ((r/(r*r**3/r*r)*r**(-6))/(r*r**(-1/5)*r**3))**(-4/17) assuming r is positive. r**(256/85) Simplify (((c**(-3))**10/(c/c**6*c*c**(6/11)))**(-23/3))**(38/5) assuming c is positive. c**(255208/165) Simplify (((u/(u*u/(u*u**(-1/23))*u*u))/((u/u**10)/u*u))/(u**(-1/6)/u)**(-1/41))**(-12/13) assuming u is positive. u**(-78398/12259) Simplify (n**6*n*n**(-2/13)*n*n/n**(-2/3)*n/(n/(n/(n/n**1))*n))/(n/n**2*n*n/n**4)**15 assuming n is positive. n**(2126/39) Simplify (w/(w**(1/2)/w))**26/(w*w**(-1)*w)**26*(w**(-1/2))**(-31)/(w*w**(-1/3)/w)**13 assuming w is positive. w**(197/6) Simplify (t**(-11)/t*t/t**10)**(-1/21)/((t**(-2/3))**(-7/10)*t*t**(-2/9)*t**(2/11)/t) assuming t is positive. t**(284/495) Simplify ((t**(-2/3))**(1/12)/(t/(t*t**(1/4))*t)**(-18/7))**(1/29) assuming t is positive. t**(118/1827) Simplify (u**(-1/2)*u**(-12)*u**(1/8)*u**(1/2)*u)**(2/5) assuming u is positive. u**(-87/20) Simplify g**(1/3)*(g**(-11)*g)/g*(g/((((g/g**(-27))/g)/g)/g)*g)**(-8) assuming g is positive. g**(520/3) Simplify ((z**(-4)/(z/((z**(-3/4)*z)/z)))/(z**(-1))**(-1/23))/(((z/z**1)/z)**(-27)/(z/(z**(2/7)*z))**(-18)) assuming z is positive. z**(-17807/644) Simplify ((l**(-1/17)/l**21)/(l**(-6/5)*l*l*l)**17)**13 assuming l is positive. l**(-57083/85) Simplify ((((n*n*n**(-6))/n*n**(-11/3))**(-4/11))**39)**(1/14) assuming n is positive. n**(676/77) Simplify ((g/(g/(g*g/g**6)))/g*g*g*((g/(g**(-3)*g*g)*g)/g)/g)/(g*g*g**(1/4)*g*g)**(-4/9)*(g**(-2/7))**(2/85)*g**2/g**1 assuming g is positive. g**(4724/5355) Simplify ((o**(-2/15)/o*o*(o/o**(-14)*o)/o*o)/(o**(-2/7)/((o**10/o)/o)))**(-27) assuming o is positive. o**(-22824/35) Simplify (b**(1/7)/(b**5/b))**(-1/16)*((b**(-2))**(-26))**(-10/11) assuming b is positive. b**(-57943/1232) Simplify ((t*(t**(-2/3)/t*t)/t)**(21/2)/(t/t**(-2))**40)/((t**(-1))**(-31))**37 assuming t is positive. t**(-1274) Simplify ((g**(-1)*g*g)/g)**(-2/29)/((g/g**(2/3))/g*g)**(-1/31)*g/(g/(g/(g/g**6)))*g**5*(g**0)**28 assuming g is positive. g**(1024/93) Simplify ((x*(x**(-4/3)*x)/x)**19/(x/x**(-5))**(-44))**35 assuming x is positive. x**(27055/3) Simplify ((c**(-2/7)*c)**(-12)/(c*c/c**(-21)*(c/(c**2*c)*c*c)/c))**(-8/11) assuming c is positive. c**(1712/77) Simplify ((p*p*p/(p**0*p))**(-5/8))**(-2/117)/((p**(-1))**(-7/4)/(p**(-3)*p*p**(-1/3))) assuming p is positive. p**(-1901/468) Simplify (t/(t*t*t/((t/(t/t**(-6)*t))/t))*t**(-2/11))**(-2/65)*(t**5/(t**4/t))**(1/3) assuming t is positive. t**(2102/2145) Simplify (x**(-22)*x)**29/((x/(x/((x**(-11)*x*x*x)/x)))/x*x**(33/5)) assuming x is positive. x**(-3028/5) Simplify ((r*r*r/(r*r*r**(3/8)/r)*r)/r*(r*((r/(r*((r/(r*r**(-4)))/r)/r))/r*r)/r)/r)/(r**1)**14*((r**(1/2))**(6/5))**(-12/13) assuming r is positive. r**(-8283/520) Simplify m**(3/32)/(m/m**(2/21))*m/(m/(m**(-4/5)/m))*m*m*m/((m*m**(-46)*m)/m*m) assuming m is positive. m**(149147/3360) Simplify ((o*o**5)/(o**(-13)*o*o))**36*(o**(4/3)/(o**(-1/10)/o))/(o*o/(o**(-1)*o*o)*o*o)**(-39) assuming o is positive. o**(21943/30) Simplify ((a*a**1/a)**30*(a**(2/9)/a)/a**(2/11))/((a*a**(3/8))/a**2)**42 assuming a is positive. a**(21895/396) Simplify ((((u/((u/(u**0/u*u)*u)/u))/u)/u)/(u**28*u))/(u*u/u**39*u)**(-3/11) assuming u is positive. u**(-449/11) Simplify (((z/z**8)/z**(-1/2))/(z**(-3/5)/(z*z/(z/(z**(-7/3)/z)))))**(-18) assuming z is positive. z**(741/5) Simplify ((t**0/t)**36)**(-41)*((t*t**5)/t**(-1/2))**12 assuming t is positive. t**1554 Simplify ((((c**20)**(3/13))**17)**25)**(-31) assuming c is positive. c**(-790500/13) Simplify ((j**(3/10))**(-3/4)/((j**31*j)/((j/j**4)/j)))**(5/4) assuming j is positive. j**(-1449/32) Simplify (((c/(c*c**(1/13)))/c*c**(-2))/((c*c*c**(-11)*c)/(c*c**(-1/9)*c)))**(-19) assuming c is positive. c**(-15143/117) Simplify ((a**(4/7)*a)/(a/a**8*a))**14*((((a*a**(2/5))/a)/a)**37)**(-16/9) assuming a is positive. a**(2182/15) Simplify ((o*o*o*o**(4/5)*o**7*o*o)/(o/o**(2/3))**(-8))/(o**(2/5)*o/((o*o*o**(2/7))/o))**14 assuming o is positive. o**(208/15) Simplify ((v/v**(-6/7))**(1/61)*(v**(-4))**(-48))**(-39) assuming v is positive. v**(-3197883/427) Simplify ((o**(2/3)/o)/(o**(-1)/o))/(o**(-1)/o)**(-23)*o**2*o/(o**(1/5)*o*o)*o*(o**(2/23)/o)/(o*o**5) assuming o is positive. o**(-17059/345) Simplify (g**6*g**(-3))**15*((g**(-1/3)/g*g)**(-5/7))**(2/89) assuming g is positive. g**(84115/1869) Simplify ((t**(1/3)*t*t)**(-14)/((t/((t/t**(-7))/t*t))/t**(-3/5)))/(((t/(t**(1/4)*t))/t**(-3/4))/(t*t*t**(-2/3))**(-24)) assuming t is positive. t**(-1763/30) Simplify ((q**(-1)*q)**14/(q/(q*q**1*q*q))**(-2/25))/(q*q/q**(-3)*(q/(q*q**5*q*q*q))/q*q/(q/(q*q**(-3/4)/q))*(q/(q**(-2/17)*q)*q)/q) assuming q is positive. q**(7467/1700) Simplify (((b**(3/4)/b)/b)/b**(-1))/(b**0)**3*(b**(-8)/b*b*b**(-4))**38 assuming b is positive. b**(-1825/4) Simplify (a**(2/3)*(a*a/((a*a**(-1))/a*a))/a)**49/((a**(1/4))**(-3/13))**(-2/3) assuming a is positive. a**(6367/78) Simplify (j**14*j*j**19*j**(1/6)*j**13)**(-3/29) assuming j is positive. j**(-283/58) Simplify ((s*s**(-1/2))/(s/(s*s**(-2))*s))**(-2/87)*(s/(s**(1/4)*s)*s*s/s**(-5)*s*s)/((s*s**5)/((s/(s/(s*s/(s/(s**1/s)))))/s)) assuming s is positive. s**(977/348) Simplify ((p**0)**(-7/6))**(13/5)/(((p*p/p**(-6)*p*p)/(p**(-4/3)/p))/(p**0/p)**(-25)) assuming p is positive. p**(38/3) Simplify (v**(-6)*v**(2/5))**(4/3)*((v*v**1)/v)**16*v**5/(v/(v/v**0)) assuming v is positive. v**(203/15) Simplify ((o**8/(o**1*o*o))/((o*o*o/(o*o**(-13)/o*o))/(o/((((o**3*o)/o)/o*o)/o))))**(1/25) assuming o is positive. o**(-11/25) Simplify ((y*y/(y/(y/(y**(16/9)/y))))**27*(y**(-28))**33)**(20/11) assuming y is positive. y**(-1620) Simplify ((a*a**(-1)/a)/a**3*a**(2/5)*a/a**(2/3))/((a**4)**(-17/6))**9 assuming a is positive. a**(1481/15) Simplify (((k*(k/k**(-1))/k)**(3/11)/((k/k**(3/2))/k**6))**43)**(1/3) assuming k is positive. k**(6665/66) Simplify (r**(-2/105)/r*r**(-2/113))/((r**(-11)/r)/r*r/(r/(r*r*r**(-8)*r))) assuming r is positive. r**(201269/11865) Simplify (f/f**6*f**0*(f*f*f**(1/8)/f*f)/(f/f**(2/11)))/((f**0)**15/(f*f*(f**(-2/7)*f*f)/f*f*f/(f/(f/f**5))*f*f*f)) assuming f is positive. f**(-603/616) Simplify (n**(2/11)/n*n*n**(-5/3)/n)**(-27)*(n*n/n**(-2/7)*n)**(2/75)/(n*n/n**(2/19)*(n**1*n)/n) assuming n is positive. n**(7053539/109725) Simplify ((((v*(v/(v**(-20)/v))/v)/v)/(v**(-17/3)*v))/((v/((v*v*v/((v*v**3)/v))/v*v*v*v*v))/(v*v**(-1/16)/v)))**(11/6) assuming v is positive. v**(14575/288) Simplify ((p**(-1))**(10/11)/(p**0/p)**31)/(p**(-4/5)*p*p**2)**(8/3) assuming p is positive. p**(3997/165) Simplify (((g/(g*g*g**(-4/17)))/(g/(g/g**(-1)))*(g*g*g/(g*(g*g/(g/g**(2/17)*g)*g)/g*g))/(g*g*g*g**(-8)))**26)**(2/45) assuming g is positive. g**(5408/765) Simplify ((z*z**(2/7))**(-8/5)/(z**(-1/3))**(-1/2))/((z/(z*z**(-7)))/(z*z**(6/11)))**(-1) assuming z is positive. z**(7463/2310) Simplify ((n/(
{ "pile_set_name": "DM Mathematics" }
5 Evaluate -12 - (25 + -43) - (-2 - 0). 8 What is the value of (-1 - (2 + -4)) + 4? 5 What is -6 + 8 - -4 - (16 + -4)? -6 What is the value of (-6 - -15) + (0 - 7)? 2 0 + 2 - (-9 - -8) - 7 -4 Evaluate 3 + (-6 - -2 - (-13 - -13)). -1 -7 + 18 + 0 + -6 5 Evaluate (2 - (0 + -1 + 5)) + 10. 8 What is 1 + 2 - (-3 + 6)? 0 Calculate 1 + -6 + (5 - -5 - 7). -2 -3 + -2 - (1 - 8) 2 What is -1 + 1 + -5 + 3? -2 -5 + 3 + -2 + 3 + -1 -2 What is -3 - (-1 + (1 - -3)) - -3? -3 Calculate -1 + (13 - 7) - (1 - 1). 5 What is the value of -9 - -5 - (15 + -16)? -3 What is 3 + -7 + -5 - -13? 4 Calculate (-2 - -14) + 0 - 8. 4 Calculate -3 + 8 + -1 + -5. -1 -12 + 1 + 10 + -7 - -4 -4 (0 - 1) + -2 + -5 + 8 0 Calculate 2 + -5 - 0 - 0. -3 4 - (3 - ((4 - 1) + -2)) 2 Evaluate -2 + 2 + 1 + 1 + -2. 0 What is the value of -1 + -2 + (7 - (9 - 5))? 0 Evaluate 4 - (0 - (-1 + 5 + -5)). 3 What is the value of (-5 - -2 - (1 + -8)) + -2? 2 What is (23 - (9 + 1)) + -11? 2 What is 12 - 4 - 2 - 3? 3 Evaluate -2 + 10 + (-5 - -3). 6 Calculate -5 - (-2 + 0 + -10 - -3). 4 What is the value of 5 - -7 - 7 - 1? 4 -4 - (-2 + -4 + 2) 0 Calculate -3 + -2 + 11 - 6. 0 What is the value of (-5 - (8 - 26)) + -22? -9 What is 13 + (12 - 11 - 16)? -2 What is 6 - (-2 + (4 - -1 - 0))? 3 What is the value of -7 + (2 - -5) + -7 + 4? -3 What is 1 + 0 + 0 + -4 + 1? -2 (-2 - (-6 + 2)) + 0 + 1 3 What is 0 - ((8 - 3) + -3 - 3)? 1 What is the value of -1 + -1 + -1 - -6? 3 Calculate 8 + -18 + 1 + 16. 7 Calculate 0 - (7 + (3 - (3 - -12))). 5 Calculate -12 + 1 + -1 + 4 - -3. -5 What is (-2 - (-2 - -1)) + 10? 9 What is the value of -2 - (-2 - (1 - -3)) - 2? 2 (1 - (4 + (5 - 5))) + -2 -5 What is the value of (6 - 6) + (-1 - 2)? -3 What is the value of -3 - (-1 - (1 + 1))? 0 Evaluate 12 + (5 - 18) + 1. 0 Evaluate -5 - (-5 - (0 - -6 - 5)). 1 (-3 - (-4 + -5)) + -5 + -3 -2 -3 + 5 - (-1 - (1 + 1)) 5 What is -4 - (1 + 7 + -15)? 3 Calculate -2 + (-4 - -4) + 0. -2 Calculate 19 + -18 + -3 + 0. -2 What is 3 + -1 + 1 + 1? 4 What is the value of 3 - -1 - (5 + -13 - -13)? -1 Evaluate (5 - -2 - 4) + -3. 0 Calculate -11 + 12 + (-1 - 1). -1 (-1 - (-11 + 4)) + 0 + -2 4 Evaluate 0 + -2 + -7 - (3 + -6). -6 Evaluate -3 + (-3 + 5 - -1) + 1. 1 Evaluate (-2 + 4 - 5) + -1 + 4. 0 (6 - (-9 + 23)) + 11 3 Evaluate 1 + 0 + (9 - (6 + -1)). 5 Calculate 9 + (1 - -2) - (12 - 4). 4 What is the value of (10 + -12 - -15) + -15? -2 What is the value of 0 + 2 - (9 - 3)? -4 4 - (3 - -1) - (6 - 2) -4 What is the value of (-6 - 1) + 0 + 0 + 4? -3 What is the value of -7 - (1 + 0 + -4 + 0)? -4 Evaluate (-3 - 7) + -2 - -11. -1 Calculate (-4 - 1) + -9 - (-8 - -2). -8 What is (0 - (4 - 6) - 0) + -2? 0 1 - (0 - (-1 + -2)) -2 What is -5 + 5 + (0 + 5 - 7)? -2 What is the value of (105 - 111) + 0 + 4? -2 5 + 2 - (3 + 2) 2 What is 0 + -5 + -2 + (58 - 54)? -3 Evaluate 4 - (1 + -2 - -7). -2 Evaluate 4 + (-3 + 7 - 4). 4 Evaluate 0 - (2 - (-1 - -2)). -1 Calculate (-5 - -3) + 4 + -1 + 1. 2 0 + (-4 - (2 + -8)) 2 -1 + (-3 - -1) - (16 - 12) -7 What is (-3 - (5 + -2)) + (4 - 0)? -2 2 + (-1 - 1) - 3 -3 What is -1 - -1 - (-2 + -5 + 7)? 0 Calculate 3 + (5 - 12) - -4. 0 Calculate 36 - 47 - (0 + -1). -10 Calculate (-4 - -9) + (4 + -14 - 5). -10 What is (1 + -4 - 9) + 8? -4 Evaluate -14 + -7 + 26 - (-1 + 9). -3 What is (3 + -5 - 10) + 9 + -1? -4 Calculate (-10 - -7 - (2 + -2)) + 0. -3 Calculate (-9 - -9) + 1 + 1. 2 Calculate (0 + 3 - 7) + 3. -1 12 + -8 - (-1 + 4) 1 Evaluate -2 + (3 - -3 - 3). 1 Calculate (-2 - 1) + (-1 - -1) - -7. 4 What is the value of 1 + (-8 + 1 - -5) + -4? -5 9 + 2 + -4 - 2 5 What is the value of -4 + 4 + -12 + 4? -8 What is (1 - (0 + 3)) + 1 + 6? 5 Evaluate 2 + (-2 - (1 - 2 - -1)). 0 Calculate 5 - (11 - 4) - (-4 + 2). 0 Calculate (1 - 3) + -4 - -4. -2 Evaluate 7 + (-5 - 10 - -7 - -5). 4 What is the value of 1 + -4 + -17 + 18? -2 Calculate -2 - (-1 + -3) - -2. 4 What is 4 + (-8 - (7 + -16))? 5 Evaluate 2 - (-8 - (-8 + 4)). 6 3 - (-2 - (-5 - -4)) 4 What is the value of (2 - (0 - 1)) + (-15 - -8)? -4 What is (-4 - 0) + -1 + 9? 4 Calculate 5 - (0 - 0) - 5. 0 What is the value of 1 + (-1 - (-3 + (-1 - -2)))? 2 What is the value of (0 - -4) + -4 - -3? 3 Calculate 79 - 77 - (-1 - -2). 1 Evaluate (8 - 0) + (-4 - -1). 5 Evaluate 3 + -6 - (-3 + 5). -5 (-12 - -9) + 5 + 1 - 0 3 What is the value of 2 - 4 - ((-7 - -4) + -3)? 4 Evaluate 0 - (1 - -3 - (2 - -3)). 1 What is the value of (5 - -1) + (-1 - (0 + 1))? 4 Calculate 0 + 0 + -1 - -6. 5 Calculate (13 - 1) + -2 - 18. -8 What is the value of 2 - 4 - (-8 - -1)? 5 What is -5 + (19 - 5 - 2) + -1? 6 What is the value of 6 - (5 - (-3 - -6))? 4 3 + (0 - 1) - (27 - 22) -3 What is the value of (-3 - 11 - -8) + 9? 3 What is -1 + (6 - (1 + 7)) - 1? -4 -5 - ((-4 - 4) + 3 + 4) -4 Calculate (3 - (8 - 4)) + -4 + 1. -4 What is -1 + -1 + -1 + (5 - 4)? -2 (-3 - -7 - 5) + (-4 - 0) -5 Calculate 2 + (0 - (-3 + 1)) + -2. 2 What is the value of -8 + (5 - -2 - 4)? -5 Calculate 6 - (4 + -5 - 1). 8 What is the value of -13 + (4 - (-2 + -4))? -3 What is -11 + -1 + 5 + 2 - -3? -2 Evaluate 2 + (-3 - (2 + -1)) + 2. 0 20 + -39 - (-10 + 1) -10 What is the value of -3 + 2 + 10 + -4 - 4? 1 (-114 - -107) + (7 - -1) 1 Evaluate -12 + (7 - 1 - -6) + -6. -6 Calculate -5 - (1 - (6 - 2)). -2 What is (10 - 9 - -3) + -10? -6 (6 - (0 + (3 - -1))) + 0 2 Evaluate (1 - 2) + 0 + 2. 1 What is (-7 + 8 - -2) + -4? -1 -2 + 9 + (1 - 5) 3 What is the value of 2 - ((1 - 5) + -4 + 5)? 5 Calculate 5 + -3 + -3 - 4. -5 What is 6 - (9 + 1) - -4? 0 What is the value of -5 + (-5 - -7) - 0 - 2? -5 What is the value of -1 - -4 - ((19 - 6) + -12)? 2 Calculate (2 - 1) + (-8 - -2). -5 Evaluate (-10 - -15) + (3 - (4 + -4)). 8 -6 + 6 - (-1 + 5) -4 Calculate 8 + -14 - -9 - 0. 3 Evaluate 2 - ((-3 - 0) + 6). -1 Evaluate 2 + -12 + 2 + 4 + 4. 0 What is (10 + -3 - -2) + -13? -4 14 - (11 + 0) - (-3 - 0) 6 Calculate 1 - (3 + -7) - 10. -5 What is the value of -132 + 117 + 8 + -1? -8 Evaluate 6 + (1 - (10 - (7 + -3))). 1 3 + (4 - 4) - 2 1 Evaluate -2 - (-2 + 0 + 3 + -2). -1 (-3 - 2 - (-16 + 13)) + 1 -1 -3 - (2 - (2 - 2)) -5 What is 6 - (8 + -1 + 2)? -3 What is 7 - (20 + -8 + -4)? -1 Evaluate -48 - -49 - (3 - 4 - 5). 7 What is 3 - (0 - -1) - (1 + 7)? -6 Calculate 6 + (2 + -17 - -4) + 5. 0 -2 - (-3 + 2) - 2 - -2 -1 What is 0 - (-2 + 4 + 1 + -5)? 2 0 + -3 + 0 - (-1 + 1) -3 Calculate (3 + 4 + 3 - 3) + -5. 2 (-1 - (6 + 2)) + 4 + -1 -6 -5 + 1 + 7 + -8 -5 Calculate 0 + (-2 - 0) - (-10 + 10). -2 Evaluate (4 - 1) + -5 - -1. -1 Evaluate ((2 - -3) + 0 - 3) + 2. 4 Calculate (5 - (10 - 5)) + -2. -2 -1 + (11 - 14 - (1 - -2)) -7 Evaluate 8 + 8 + -9 + -15 + -3. -11 -5 + (-7 - (0 + -8 + 4)) -8 Evaluate (-4 - -1 - 1) + (1 - 0). -3 What is 2 - (4 - (0 + 2 + 1))? 1 Calculate 7 + 1 + -160 + 154. 2 What is the value of -17 + 16 - ((1 - -2) + -1)? -3 Evaluate (3 - (-5 + 12)) + 1. -3 (-10 - -5) + (1 - -1) + 1 -2 Calculate -1 - (-4 - -1 - 0). 2 Calculate -1 + (-4 - (-3 - (0 + -1))). -3 Evaluate (1 - -2) + -5 + 3. 1 What is -1 + 1 - (-5 + 0 - -1)? 4 What is the value of -1 - (-1 - -4 - 0)? -4 What is (11 - 3) + (-11 - -4 - 3)? -2 What is -11 + (7 - -1) - 1? -4 What is the value of 5 + 3 + -14 + 10? 4 Evaluate -2 + 3 + 2 - (7 + -7). 3 Calculate -5 + 14 + -17 + 16. 8 What is 6 + 0 + (-5 - -2)? 3 What is 4 + -2 + -3 + 4? 3 What is -4 + 6 - (15 + -9)? -4 What is -5 + 0 + 10 + -10 + 6? 1 What is -1 + -1 + -2 + (3 - -4)? 3 Calculate -1 + (4 - 2) + -3 + 4. 2 What is -20 + 12 + 5 + 6 + -6? -3 -6 - (11 + -2 + -5) - -5 -5 What is the value of 6 - (0 + 2 - 0) - -1? 5 Calculate 0 + -3 + 5 - (-5 + 1). 6 (-1 - 1 - 1) + (0 - 1) -4 (0 - 0 - -2) + (-24 - -21) -1 (7 - 12) + 0 + 1 + -1 -5 6 + 2 - (-4 + 9) 3 Calculate -2 + 1 - (-12 - -8). 3 Evaluate -20 - -16 - (1 - 3). -2 Calculate (-6 - -4 - -4) + -1 - 2. -1 Calculate -4 + (-4 - (0 + (-10 - 3))). 5 Evaluate 4 - (7 + -3 - -5). -5 What is (-1 - 1 - -6) + 10 + -10? 4 Calculate (0 - -2) + 0 - (12 - 6). -4 Calculate 9 + -1 + -20 + 7. -5 What is 5 - 1 - ((17 - 20) + 7)? 0 Calculate -1 + 0 - -5 - 4. 0 Evaluate 13 - -1 - (7 - (-1 - -2)). 8 What is the value of -2 + (-3 + -1 - -4)? -2 3 + (4 - (-4 + 6 - -3)) 2 What is the value of 5 - (6 + -2 + 2)? -1 (6 - -5) + -14 + 3 0 What is the value of -1 + -2 + (5 + -3 - -1)? 0 -2 - (1 - -2 - 3) -2 What is (12 - 12) + -9 + 10 + -4? -3 What is (104 - 89) + (-
{ "pile_set_name": "DM Mathematics" }
*(l - 11) Determine z, given that 49418*z**2 + 226779198*z - 18356 = 0. -4589, 2/24709 Determine l so that -2*l**4/9 + 11414*l**3/9 + 7150130*l**2/9 + 35465050*l/9 = 0. -565, -5, 0, 6277 Let -5*u**4 + 14815*u**3 - 59205*u**2 + 73985*u - 29590 = 0. Calculate u. 1, 2, 2959 Determine g so that -9*g**4/7 - 2143145*g**3/7 + 3810059*g**2/7 - 1190647*g/7 - 476258/7 = 0. -238129, -2/9, 1 Factor -5*w**2 - 234790*w + 3053115. -5*(w - 13)*(w + 46971) Factor -2*k**4/5 - 6984*k**3/5 - 6062012*k**2/5 + 12228984*k - 30660010. -2*(k - 5)**2*(k + 1751)**2/5 Solve c**4 - 2830*c**3 + 138353*c**2 + 1797196*c + 4069920 = 0. -8, -3, 61, 2780 Solve -3*c**4 + 15*c**3 + 1083*c**2 + 6609*c + 5544 = 0. -11, -7, -1, 24 Solve -c**3/4 - 195*c**2/2 + 286501*c/4 - 143055/2 = 0 for c. -765, 1, 374 Solve -161*u**4 + 229421*u**3 + 465194*u**2 + 11416*u = 0 for u. -2, -4/161, 0, 1427 Find h, given that -6*h**4/7 + 2930*h**3/7 + 13878*h**2/7 - 36522*h/7 + 19720/7 = 0. -20/3, 1, 493 What is c in 4*c**5 + 776*c**4 - 7596*c**3 - 225104*c**2 + 716720*c - 484800 = 0? -202, -15, 1, 2, 20 Find b, given that -3*b**3 - 2415*b**2 + 1191882*b + 12157320 = 0. -1148, -10, 353 Factor -l**3/2 + 4089*l**2 - 1851185*l/2. -l*(l - 7945)*(l - 233)/2 Determine i, given that -4*i**4 - 672*i**3 + 13116*i**2 - 51128*i + 38688 = 0. -186, 1, 4, 13 Factor -2*b**5 - 32742*b**4 - 457996*b**3. -2*b**3*(b + 14)*(b + 16357) Solve 2*b**4/7 - 6878*b**3/7 + 6045848*b**2/7 - 32517600*b + 1872720000/7 = 0 for b. 12, 27, 1700 Suppose -5*u**2 - 30635*u - 8352630 = 0. What is u? -5841, -286 Factor h**3/3 - 505*h**2/3 + 22254*h - 741336. (h - 316)*(h - 138)*(h - 51)/3 Factor -2*d**4 + 243384*d**3 - 7404714810*d**2 + 14808456100*d. -2*d*(d - 60845)**2*(d - 2) Find z, given that 35*z**2 - 659301640*z - 188371900 = 0. -2/7, 18837190 Factor 5*j**2 - 4143820*j - 617540185. 5*(j - 828913)*(j + 149) What is a in 3*a**3 + 20326425*a**2 = 0? -6775475, 0 What is q in q**4/6 + 2*q**3 - 3369*q**2/2 - 15165*q + 60588 = 0? -102, -12, 3, 99 Solve 71*x**3/11 + 13756*x**2/11 - 74137*x/11 + 17910/11 = 0. -199, 18/71, 5 Factor -4*p**2 - 26240*p - 7607296. -4*(p + 304)*(p + 6256) Factor 3*o**2/7 - 1035270*o/7 + 1035267/7. 3*(o - 345089)*(o - 1)/7 Find y, given that -4*y**3 - 408793*y**2 - 6744571*y/2 - 1583945 = 0. -102190, -31/4, -1/2 What is c in 2*c**5 - 3084*c**4 - 1200*c**3 + 1834400*c**2 + 24612000*c + 92520000 = 0? -10, 30, 1542 Factor -5*c**4 + 210515215*c**3 - 2954443856776545*c**2 + 13821234031931358991885*c - 27642456246088974999230. -5*(c - 14034347)**3*(c - 2) Factor 12*j**2 - 2041767951*j + 510441987. 3*(j - 170147329)*(4*j - 1) Find w such that -135*w**3/4 - 470241*w**2/2 + 972390*w - 125472 = 0. -20912/3, 2/15, 4 Find u, given that 3*u**2 + 6901329*u = 0. -2300443, 0 What is j in j**5/6 + 1081*j**4/3 - 29185*j**3/2 + 192300*j**2 - 825750*j = 0? -2202, 0, 10, 15 Factor -l**2 - 57678*l + 2424240. -(l - 42)*(l + 57720) Factor 3*w**2/8 - 38601999*w/4 + 496704775598667/8. 3*(w - 12867333)**2/8 Let 21*u**5 - 7113*u**4 + 153366*u**3 - 835332*u**2 + 943128*u + 341280 = 0. Calculate u. -2/7, 2, 6, 15, 316 Let -4*f**4 - 1988*f**3 + 86824*f**2 - 763312*f - 3124704 = 0. What is f? -538, -3, 22 Factor -4*v**2 + 1498956*v - 191800832. -4*(v - 374611)*(v - 128) Solve -q**3/2 + 4940071*q**2/2 - 3050536450612*q - 3050538920648 = 0 for q. -1, 2470036 Determine j, given that 4*j**2 + 8720*j - 27943124 = 0. -3949, 1769 What is b in 2*b**3 + 112104*b**2 + 10748160*b + 257845248 = 0? -55956, -48 Suppose -4*n**4 - 196*n**3 + 12812*n**2 + 204036*n + 491832 = 0. Calculate n. -81, -11, -3, 46 Let -9*b**5 - 5385*b**4 - 1051071*b**3 - 68174871*b**2 - 151368132*b + 131524524 = 0. What is b? -262, -167, -3, 2/3 Solve -4*u**3 + 39676*u**2 - 101464960*u + 15145958400 = 0. 159, 4880 Factor -j**3/3 - 47481745*j**2/3 + 94963493*j/3 - 15827249. -(j - 1)**2*(j + 47481747)/3 Factor -4*s**3 - 192768*s**2 - 2226766800*s + 2329325091904. -4*(s - 964)*(s + 24578)**2 Solve -3*t**2/7 - 75639*t + 7946820 = 0. -176596, 105 Suppose 15*u**5 - 10850*u**4 + 14375*u**3 + 46900*u**2 + 21660*u = 0. What is u? -1, -2/3, 0, 3, 722 Suppose 4*t**3 - 237008*t**2 + 5448972*t + 5685984 = 0. Calculate t. -1, 24, 59229 Factor -3*y**2/2 + 655218642*y - 71551911470720694. -3*(y - 218406214)**2/2 Solve -n**4/5 + 11787*n**3/5 - 32961*n**2 - 200171*n/5 + 70638 = 0 for n. -2, 1, 15, 11773 Let 147940*t**3 - 51926*t**2 - 7392*t - 72 = 0. Calculate t. -1/10, -6/569, 6/13 Suppose b**3 - 382847*b**2/8 + 572543202*b + 71568648 = 0. Calculate b. -1/8, 23928 Solve -2*u**3 + 1278682*u**2 + 8950860*u + 7672176 = 0. -6, -1, 639348 Find t such that t**3/3 - 2881*t**2/3 + 2132840*t/3 - 82672400/3 = 0. 41, 1420 Suppose 4*x**5 - 100*x**4 - 1192*x**3 + 25576*x**2 + 170148*x - 701316 = 0. What is x? -11, 3, 21, 23 Let 4*g**3 + 4944460*g**2 + 1527977820992*g - 1527982765456 = 0. What is g? -618058, 1 Factor -2*l**3/9 - 13574*l**2/3 + 627578*l - 21687942. -2*(l - 69)**2*(l + 20499)/9 Factor z**3/5 + 194*z**2/5 - 13624*z/5 - 57536/5. (z - 58)*(z + 4)*(z + 248)/5 Factor 2*g**2/17 + 45836*g/17 + 73193714/17. 2*(g + 1727)*(g + 21191)/17 Find i such that 17525667*i**2/2 + 1529961*i + 133563/2 = 0. -211/2417 Find s such that -s**4/5 + 6267*s**3/5 - 641283*s**2 + 568501633*s/5 - 33941837484/5 = 0. 181, 5724 Factor 2*h**2/5 - 3508536*h/5. 2*h*(h - 1754268)/5 Suppose p**2 + 84701*p + 23132998 = 0. Calculate p. -84427, -274 Suppose -5534*l**2/3 - 49103186*l/3 - 35492/3 = 0. Calculate l. -8873, -2/2767 What is h in 5*h**4 - 33610*h**3 - 741655*h**2 - 1247940*h + 2023200 = 0? -20, -3, 1, 6744 Factor -5*o**3 + 45520*o**2 - 3385495*o - 3431020. -5*(o - 9029)*(o - 76)*(o + 1) Solve 2*j**2/21 + 170878*j - 3588452/3 = 0. -1794226, 7 Determine f, given that 8*f**5/3 - 307*f**4 - 7576*f**3 - 944*f**2/3 + 141440*f = 0. -20, -39/8, 0, 4, 136 Factor g**3 + 71974*g**2 + 1294848220*g - 7771680600. (g - 6)*(g + 35990)**2 Factor 7*h**3 + 818*h**2 - 138305*h + 156984. (h - 93)*(h + 211)*(7*h - 8) What is j in -212*j**4/9 + 808*j**3/3 + 388*j**2/3 - 26960*j/9 + 3696 = 0? -189/53, 2, 11 Factor 3*h**3 - 2725452*h**2 - 21803760*h - 43607616. 3*(h - 908492)*(h + 4)**2 Factor b**5 - 3050*b**4 + 3099796*b**3 - 1048708026*b**2 - 1113929253*b + 21037438260. (b - 1017)**3*(b - 4)*(b + 5) Let 2*h**4 + 1574*h**3 - 11236*h**2 - 95280*h = 0. Calculate h. -794, -5, 0, 12 Determine o, given that o**2/4 - 3148055*o/2 + 9910250283025/4 = 0. 3148055 Find u such that -5*u**3/6 + 3238*u**2 - 50473*u/6 - 3883 = 0. -2/5, 3, 3883 Solve -2*s**3/17 - 1134*s**2 - 60493728*s/17 - 61216926592/17 = 0 for s. -3704, -2231 Determine r, given that -2*r**2/7 - 205570*r/7 + 822504 = 0. -102813, 28 Factor 2*u**2 - 658278*u - 7899624. 2*(u - 329151)*(u + 12) Solve -2*z**4/17 + 3284634*z**3/17 - 3284630*z**2/17 - 3284634*z/17 + 3284632/17 = 0 for z. -1, 1, 1642316 Let -4*a**5 + 38400*a**4 - 1986184*a**3 + 1909392*a**2 + 1986188*a - 1947792 = 0. What is a? -1, 1, 51, 9548 Factor -17349*q**3/7 + 1734918*q**2/7 - 43374300*q/7 + 45000/7. -3*(q - 50)**2*(5783*q - 6)/7 Determine d, given that -d**2/5 - 87848*d/5 + 790713/5 = 0. -87857, 9 Factor -k**2/2 + 3822973*k/2 + 1911487. -(k - 3822974)*(k + 1)/2 Factor 2*k**2/15 + 42669352*k/5 + 682752600037464/5. 2*(k + 32002014)**2/15 Factor w**2/4 + 6679519*w/4 + 3339759/2. (w + 1)*(w + 6679518)/4 Let z**4/2 - 638015*z**3/2 + 135686862711*z**2/2 - 9618615546006069*z/2 - 19238316607330434 = 0. Calculate z. -4, 212673 Solve 5*u**2 - 193516670*u + 1872435078394445 = 0. 19351667 Find w such that -w**4 + 487*w**3 - 5212*w**2 - 11568*w + 68544 = 0. -4, 3, 12, 476 Factor -3*w**2 - 74854*w - 24951. -(w + 24951)*(3*w + 1) Determine v so that -966944727760050*v**3 - 3867778998992220*v**2 - 351808082*v - 8 = 0. -4, -1/21988005 Find i, given that -6*i**5 - 13591*i**4 - 693891*i**3 - 2705345*i**2 - 2343711*i - 318672 = 0. -2213, -48, -3, -1, -1/6 Suppose -o**2/6 + 1319*o/6 - 67588 = 0. What is o? 488, 831 Factor -y**3 + 11165*y**2 + 4078081*y - 4089245. -(y - 11519)*(y - 1)*(y + 355) Factor 10*j**2/9 + 2677549294*j/9 + 357006572/3. 2*(j + 267754929)*(5*j + 2)/9 Determine d, given that 4*d**3 + 54404*d**2 + 3901536*d + 70134336 = 0. -13529, -36 Factor -1125*m**3 - 1334400*m**2 - 10797305*m - 21916690. -5*(m + 1178)*(15*m + 61)**2 Solve 4*c**3/7 +
{ "pile_set_name": "DM Mathematics" }
5) in base 4? 1032113 2350 (base 7) to base 2 1101100100 8872 (base 13) to base 16 4a4d 5776 (base 9) to base 12 2589 -30205 (base 6) to base 12 -2365 What is -2141 (base 8) in base 9? -1475 What is 92a (base 16) in base 8? 4452 -2322 (base 5) to base 11 -287 What is 35773 (base 10) in base 7? 206203 What is 2329 (base 10) in base 7? 6535 Convert 30435 (base 8) to base 14. 4821 What is 352214 (base 7) in base 5? 4010341 Convert 5789 (base 14) to base 7. 62232 Convert -736 (base 8) to base 7. -1252 Convert 320 (base 4) to base 8. 70 Convert -15400 (base 6) to base 8. -4730 Convert -37 (base 10) to base 5. -122 What is 67d2 (base 16) in base 12? 1346a 8262 (base 10) to base 16 2046 111200 (base 4) to base 5 21001 Convert 6565 (base 9) to base 11. 36a9 Convert 2113411 (base 5) to base 3. 1210200010 -21 (base 14) to base 13 -23 Convert -10565 (base 7) to base 5. -41233 Convert 30301 (base 4) to base 2. 1100110001 1a38 (base 12) to base 9 4358 Convert -151152 (base 6) to base 5. -431130 -345 (base 8) to base 10 -229 Convert 10330 (base 6) to base 8. 2616 Convert 250 (base 9) to base 5. 1312 Convert -1011001001 (base 2) to base 14. -38d What is -1111001100001 (base 2) in base 15? -2487 Convert 2022330 (base 4) to base 9. 13170 What is 3171 (base 11) in base 12? 2514 Convert 2460 (base 16) to base 7. 36102 Convert -20200200 (base 3) to base 5. -124003 -3255 (base 8) to base 13 -a16 -25340 (base 8) to base 5 -322401 What is -1110011110101 (base 2) in base 3? -101011120 What is -2d20 (base 14) in base 5? -224224 What is -5c8 (base 15) in base 14? -69b What is 152 (base 13) in base 2? 11101100 Convert -12120212 (base 3) to base 8. -7751 What is -559 (base 10) in base 12? -3a7 What is -10 (base 4) in base 9? -4 Convert 1602 (base 9) to base 3. 1200002 Convert 10202 (base 4) to base 14. 16a Convert 48 (base 9) to base 2. 101100 What is 342454 (base 7) in base 11? 41876 Convert -d4 (base 15) to base 12. -147 Convert 2010012101 (base 3) to base 6. 521014 Convert -432150 (base 6) to base 10. -35490 Convert -25 (base 9) to base 11. -21 Convert -12130 (base 5) to base 12. -643 1011110101101 (base 2) to base 16 17ad 7c9 (base 15) to base 10 1764 7720 (base 8) to base 14 1692 -11100101100 (base 2) to base 7 -5232 -21033 (base 5) to base 9 -1817 What is -10774 (base 8) in base 10? -4604 -222 (base 5) to base 12 -52 Convert 15174 (base 8) to base 2. 1101001111100 Convert -426 (base 16) to base 14. -55c 102473 (base 8) to base 10 34107 Convert 1362 (base 8) to base 6. 3254 Convert -9a44 (base 11) to base 8. -31665 Convert 3311 (base 8) to base 14. 8c1 Convert 100210 (base 3) to base 5. 2024 What is -41111 (base 6) in base 11? -40a9 What is -112214 (base 6) in base 14? -36ca -1561 (base 13) to base 3 -11021121 Convert -3b4 (base 12) to base 11. -477 Convert 9546 (base 11) to base 7. 51556 What is -151000 (base 7) in base 12? -14a57 Convert 1001011000 (base 2) to base 11. 4a6 2220001022 (base 3) to base 4 31321001 17543 (base 11) to base 4 12000202 What is 2233 (base 8) in base 3? 1121200 What is -488 (base 11) in base 8? -1104 What is 11031 (base 4) in base 10? 333 What is -13b0 (base 14) in base 7? -13110 Convert 846a (base 11) to base 12. 65a0 Convert -44123 (base 5) to base 6. -22022 What is -495 (base 11) in base 13? -363 -459 (base 12) to base 5 -10040 What is 1111111101 (base 2) in base 13? 607 -4567 (base 8) to base 5 -34143 Convert 512 (base 10) to base 11. 426 What is -30330202 (base 4) in base 10? -53026 What is 21cd (base 15) in base 6? 53104 Convert -8a (base 13) to base 16. -72 What is -213422 (base 5) in base 7? -30315 What is 20336 (base 8) in base 16? 20de 65331 (base 7) to base 12 9516 -10989 (base 10) to base 9 -16060 What is -324133 (base 5) in base 9? -16278 What is 203 (base 8) in base 6? 335 Convert 27e6 (base 15) to base 8. 20535 What is 140065 (base 7) in base 2? 110011101011010 What is -100035 (base 7) in base 9? -25073 1210 (base 7) to base 14 240 Convert -4442 (base 5) to base 7. -1546 Convert -23163 (base 8) to base 4. -2121303 What is -12c39 (base 13) in base 8? -104327 1000001001 (base 2) to base 12 375 -14 (base 13) to base 9 -18 What is -13201 (base 4) in base 3? -122211 18a (base 16) to base 14 202 What is 2544 (base 9) in base 15? 86d What is 1222212100 (base 3) in base 16? 9963 What is -1151 (base 6) in base 8? -433 What is -3624 (base 10) in base 6? -24440 What is -170 (base 10) in base 6? -442 13013 (base 4) to base 15 205 -1101001 (base 2) to base 3 -10220 Convert -10302 (base 7) to base 13. -1212 -436 (base 9) to base 4 -11211 What is 442 (base 12) in base 11? 51a -19aa (base 12) to base 4 -301102 Convert 110101011 (base 2) to base 13. 26b Convert 1ed (base 15) to base 13. 286 What is -6ad (base 14) in base 2? -10100110001 What is 110031302 (base 4) in base 11? 57235 What is -27a2a (base 11) in base 4? -21232201 Convert 10306 (base 11) to base 6. 153254 What is 115233 (base 6) in base 7? 41604 Convert 10130 (base 4) to base 15. 13e -62 (base 7) to base 3 -1122 -ec5 (base 15) to base 8 -6407 Convert -20203 (base 5) to base 13. -793 -bb (base 15) to base 8 -260 Convert -51 (base 15) to base 13. -5b What is -2001111 (base 3) in base 8? -2732 Convert edc (base 16) to base 5. 110204 -3a9 (base 16) to base 2 -1110101001 -210633 (base 7) to base 15 -ab73 Convert 185 (base 15) to base 7. 1010 What is 7494 (base 13) in base 14? 5c76 What is -3557 (base 14) in base 4? -2101021 3034 (base 8) to base 15 6e4 4cb5 (base 14) to base 15 3ee2 17ab2 (base 12) to base 3 1202012022 What is 2a008 (base 11) in base 16? a668 -211202 (base 3) to base 4 -21212 Convert -781 (base 10) to base 9. -1057 What is -8a15 (base 12) in base 9? -22858 Convert -5051 (base 8) to base 6. -20013 What is 50a (base 13) in base 6? 3543 What is -1010101000 (base 2) in base 5? -10210 What is 2354 (base 6) in base 4? 20332 What is 1100 (base 10) in base 14? 588 -627 (base 16) to base 14 -807 What is 1000010010111 (base 2) in base 7? 15245 Convert -d8a (base 14) to base 11. -2008 276 (base 15) to base 3 202210 Convert -3167 (base 10) to base 13. -1598 -b57b (base 12) to base 11 -13991 What is -1012 (base 8) in base 5? -4042 Convert 1cc9 (base 14) to base 4. 1102121 What is -223 (base 9) in base 8? -267 -281 (base 13) to base 7 -1202 What is 10000011110011 (base 2) in base 13? 3abb What is 133210 (base 4) in base 11? 1577 -10001202 (base 3) to base 14 -b58 Convert -28c7 (base 13) to base 16. -1715 What is 13176 (base 8) in base 3? 21220021 562 (base 13) to base 5 12200 2257 (base 8) to base 5 14244 Convert 5351 (base 6) to base 8. 2303 What is -970 (base 14) in base 9? -2488 -561 (base 14) to base 7 -3051 What is -f8a (base 16) in base 5? -111403 What is -407 (base 12) in base 9? -717 16933 (base 12) to base 5 2014224 Convert -1100001011001 (base 2) to base 3. -22112212 Convert 59e2 (base 15) to base 7. 106502 What is 20121 (base 4) in base 10? 537 Convert -2104 (base 6) to base 10. -472 Convert 10231 (base 4) to base 8. 455 203544 (base 7) to base 16 8868 What is 20031 (base 9) in base 10? 13150 41d (base 15) to base 11 774 6a (base 16) to base 5 411 What is 410 (base 11) in base 6? 2143 Convert 1245 (base 7) to base 2. 111011010 -1720 (base 8) to base 7 -2563 -846 (base 13) to base 8 -2602 Convert 11222 (base 3) to base 7. 251 Convert 3cdd (base 16) to base 13. 7127 What is -1172 (base 15) in base 8? -7173 Convert -3076 (base 8) to base 6. -11222 -5a5 (base 11) to base 4 -23100 Convert -3464 (base 7) to base 16. -4f7 What is -1714 (base 13) in base 6? -23421 2487 (base 11) to base 10 3241 -216 (base 15) to base 5 -3341 Convert 210000 (base 3) to base 13. 348 51342 (base 8) to base 9 32085 What is -302 (base 10) in base 6? -1222 Convert 1424 (base 6) to base 3. 111221 Convert -31210 (base 4) to base 13. -51a Convert -4287 (base 13) to base 9. -13603 1183 (base 11) to base 14 7c3 254 (base 9) to base 15 e1 -1224 (base 5) to base 14 -d7 360 (base 11) to base 4 12231 Convert -222020101 (base 3) to base 6. -224314 What is -7424 (base 12) in base 14? -48b2 -35158 (base 10) to base 15 -a63d -215 (base 10) to base 13 -137 Convert 83 (base 16) to base 9. 155 What is -409 (base 11) in base 3? -200021 What is -e13 (base 15) in base 7? -12144 21538 (base 11) to base 3 1120212202
{ "pile_set_name": "DM Mathematics" }
2. Suppose 4*s = -s + 3*v + 15, 4*s + 3*v - 12 = 0. Suppose 5 + s = 4*l. Let p(t) = -t**2 - 2*t**2 + t**l. Give i(p(u)). 12*u**4 Let q(k) be the third derivative of -1/24*k**4 + 0 + 0*k - 3*k**2 + 0*k**3. Let j(v) = 5*v**2. What is j(q(p))? 5*p**2 Let v(k) = -56*k - 674. Let i(o) = -6*o. What is v(i(b))? 336*b - 674 Let l(h) = 8*h. Let c(d) = -34*d**2 - 249*d. Give l(c(y)). -272*y**2 - 1992*y Let k(u) = -u. Let f be -4 + (-2 - -2) + -7. Let h(o) = 3*o. Let s(w) = f*k(w) - 4*h(w). Let t(a) = 8*a**2. Calculate s(t(i)). -8*i**2 Let x(v) = -10*v**2. Let f = -57 - -78. Let p(q) = -f*q + 42*q - 22*q. What is p(x(b))? 10*b**2 Let r(u) = -27903*u. Let q(t) = 2*t**2. What is r(q(c))? -55806*c**2 Let v = 7 - 5. Let d(m) = m + 3*m - v*m. Let u(q) = 2*q + 2. Let j(g) = 21*g + 22. Let y(k) = -4*j(k) + 44*u(k). Determine d(y(b)). 8*b Suppose n = 1, n = 2*d - 0*n - 1. Let k be d + -5 + (-12)/(-3). Let y(f) = -6*f + 4 - 4 + k. Let m(i) = -i**2. Calculate m(y(q)). -36*q**2 Let f(w) = 50*w - 208. Let k(g) = 2*g**2 - 55. What is k(f(r))? 5000*r**2 - 41600*r + 86473 Let t be 5/((-10)/(-8)) - (-2)/(-1). Let q(b) = b - b - t*b. Let k(d) = 0*d - 4*d + d. What is q(k(p))? 6*p Let v(w) = -25*w - 11. Let k(m) = -16*m - 7. Let s(i) = -8*k(i) + 5*v(i). Let r(b) = 8*b + 6. Let u(l) = l + 1. Let f(o) = r(o) - 6*u(o). What is f(s(a))? 6*a + 2 Let y(p) = 15*p. Let m(k) be the first derivative of 2/3*k**3 + 0*k**2 - 23 + 0*k. Give y(m(t)). 30*t**2 Let x(v) = -4*v. Suppose 89*a = 88*a. Let i(l) be the third derivative of 0*l**3 + 3*l**2 + 0 + 1/24*l**4 + a*l. What is x(i(t))? -4*t Let s(g) be the third derivative of 0*g + 9*g**2 + 1/8*g**4 + 0 + 0*g**3. Let f(u) = -u. Let y(k) = k. Let d(a) = 6*f(a) + 5*y(a). Determine d(s(j)). -3*j Let w(v) = v**2. Let d(l) be the second derivative of l**3/6 + 3*l**2 - 97*l + 1. What is d(w(t))? t**2 + 6 Let y(u) = -u**2 - 16*u. Let o(t) be the second derivative of t**4/4 + 39*t. What is o(y(w))? 3*w**4 + 96*w**3 + 768*w**2 Let j(u) = -u. Let r(o) = -o. Let f(s) = 6*j(s) - 7*r(s). Let z(a) = 1308*a**2. Give z(f(l)). 1308*l**2 Let f(s) = -14*s**2 - 28 + 28. Let q(m) = 38*m - 87*m + 48*m. What is f(q(t))? -14*t**2 Let a(v) = 2*v. Let l(b) = -16*b - 28. Determine l(a(d)). -32*d - 28 Let x(q) be the first derivative of -29*q**3/3 - 72. Let m(j) = j**2. What is x(m(u))? -29*u**4 Let n(h) = 3*h. Suppose 3*v = -5*b + 21, 4*v - 4*b + 0 = -4. Let k(l) = -14*l**2 + 2*l**2 + 2*l**v - 25*l**2. Give k(n(r)). -315*r**2 Let w(g) = -13*g**2. Let l(o) = -486 + 486 - 23*o**2. Calculate w(l(z)). -6877*z**4 Let b(o) = 5*o**2. Let a(l) = -55850*l. What is b(a(m))? 15596112500*m**2 Let y = -42 - -52. Let d(b) = -4*b**2 - y*b - 8*b + 18*b. Let v(h) = 4*h**2. Calculate d(v(z)). -64*z**4 Let s(p) = -10*p**2. Let d(r) = -31928*r. Give s(d(w)). -10193971840*w**2 Let y(w) = -4*w. Let z(o) = 4*o**2 + 89 + o**2 - 182 + 93. Calculate z(y(r)). 80*r**2 Let k(j) be the first derivative of j**2 + 1. Let l(m) = 3060 - 1531 + 7*m - 1529. Calculate k(l(v)). 14*v Let f(z) = -z. Suppose -n + 4*y = 2*n - 17, -4*y + 7 = 5*n. Let m = -10 - -6. Let k(r) = -r. Let v(h) = m*f(h) + n*k(h). Let s(g) = -2*g**2. What is s(v(q))? -2*q**2 Suppose -n = j - 8, n + n + 9 = 3*j. Suppose -2*f - f = -j*a - 26, a = -5*f + 6. Let w(k) = 5*k**2 - 3*k**f - 2*k**2 - 2*k**2. Let x(p) = 3*p**2. Give w(x(d)). -18*d**4 Let q(k) be the second derivative of 0 + 0*k**3 + 3*k + 0*k**2 - 1/12*k**4. Let w(z) = -4*z. Determine q(w(v)). -16*v**2 Let y(d) = 2*d. Let v(k) = 1097*k + 1. Determine v(y(n)). 2194*n + 1 Let v(n) = -9*n. Let o(q) be the second derivative of q**5/15 + 6*q**2 - 4*q. Let x(w) be the first derivative of o(w). Give x(v(y)). 324*y**2 Let s(y) be the second derivative of y**3/3 - y + 4. Let v(i) = -4*i**2 - 1. What is s(v(d))? -8*d**2 - 2 Let g(q) = -q. Let n be (-6)/(-8) - (-143)/44. Let x(k) = -15*k. Let p(u) = n*x(u) - 55*g(u). Let w(m) = 2*m. Give w(p(a)). -10*a Let s(y) = -61*y + 53 - 53 + 27*y + 32*y. Let b(o) = -452*o. What is b(s(u))? 904*u Let m(x) = 42*x**2 - 3. Let o(j) = -12*j. Give o(m(t)). -504*t**2 + 36 Let t(k) = k**3 + k + 19. Let z be t(0). Let s = -18 + z. Let v(g) = 1 - s + 0 - 5*g**2. Let o(f) = -2*f**2. Give v(o(y)). -20*y**4 Let v(c) = -6*c**2. Suppose -52*r = -50*r - 6. Let m(h) be the first derivative of 7 + 0*h**2 + 1/3*h**r + 0*h. Calculate v(m(d)). -6*d**4 Let b(j) = 25*j. Let g(y) = 4209*y**2. Calculate b(g(z)). 105225*z**2 Let f(i) = 3*i - 6. Let q(s) = -s + 3. Let n(h) = -f(h) - 2*q(h). Let x(b) be the second derivative of -5*b**3/6 - 2*b. What is x(n(j))? 5*j Let n(h) = -3*h. Let p(v) be the third derivative of -v**5/15 + 134*v**2. What is n(p(s))? 12*s**2 Let s(m) = 18*m + 3*m**2 - m**2 - 18*m. Let i(h) = -2*h**2 + 26. Calculate s(i(z)). 8*z**4 - 208*z**2 + 1352 Let a(j) = -585*j**2. Let n(w) = 24*w**2. What is n(a(u))? 8213400*u**4 Let l(d) be the first derivative of 7*d**3/3 + 420. Let b(p) = 4*p. Give b(l(t)). 28*t**2 Let p(t) = -t. Let a(h) = -3*h. Let r(x) = 2*a(x) - 3*p(x). Let j(b) = -17*b. Give j(r(c)). 51*c Suppose 11*l - 396 = 8*l. Suppose 3*h + o + 2*o = l, -4*h = -4*o - 216. Let t(d) = -49 + h - 6*d**2. Let f(a) = a**2. Calculate f(t(y)). 36*y**4 Let f(x) = x**2. Let g(j) be the third derivative of 13*j**4/12 - 21*j**2. Let s(h) = -51*h. Let m(p) = -5*g(p) - 3*s(p). Give m(f(d)). 23*d**2 Let w(l) = 2*l + 67. Let n(f) = 16*f + 25*f - 65*f + 24*f - 3*f**2. Give w(n(a)). -6*a**2 + 67 Let j(w) = 15*w + 13. Let c(i) = -5932*i. Determine c(j(x)). -88980*x - 77116 Let t(b) = -b. Let k(o) = -35420*o. Give t(k(d)). 35420*d Let r(c) = 1 + 11*c + 6 - 7. Let t(f) = 3*f**2 + 2 - 6*f**2 - 2. What is t(r(s))? -363*s**2 Let i(x) = -3 + 4*x - 3*x - 7*x - 10*x + 0. Let u(o) = -o. What is i(u(z))? 16*z - 3 Let a(d) = -d + d + 4*d**2. Let m(r) be the second derivative of r**4/2 + 22*r - 60. What is m(a(t))? 96*t**4 Let j(h) = -2*h. Let k(x) = x**2 - 6*x - 5. Let w be k(7). Suppose 0 = w*m - 10 + 4. Let u(a) = -m*a - a + 0*a. Calculate j(u(s)). 8*s Let k(l) = 10*l**2 - 19*l - 1. Let d(i) = 11*i. Give d(k(q)). 110*q**2 - 209*q - 11 Let l(y) be the third derivative of -9*y**5/20 - 45*y**2. Let w(b) = 7*b. Calculate l(w(k)). -1323*k**2 Let t(d) = 53*d**2. Let k(h) = 12*h**2 - 5*h + 5. Let c(m) = -7*m**2 + 3*m - 3. Let w(g) = 5*c(g) + 3*k(g). Determine w(t(p)). 2809*p**4 Let o(b) = -2*b. Let x(l) = -20*l + 1086. Determine x(o(c)). 40*c + 1086 Let l(k) = -26*k. Let z(s) = -24*s + 21*s + 10*s. Let d(w) = -4*w. Let y(a) = -5*d(a) - 3*z(a). Calculate l(y(u)). 26*u Let a(v) be the second derivative of -v**4/6 + 68*v. Let s(r) = 16*r**2. Determine s(a(b)). 64*b**4 Let h(v) = -4*v**2 + 5*v**2 - 2*v**2. Let d(t) be the second derivative of t**5/30 + t**2/2 - 3*t. Let a(w) be the first derivative of d(w). Give h(a(y)). -4*y**4 Let x(w) = -24*w - 12. Let i(t) = 2584*t. Determine i(x(p)). -62016*p - 31008 Let a(d) = d - 32. Let v(k) = -16. Let r(p) = 2*a(p) - 5*v(p). Let c(j) be the second derivative of -j**3/3 - 3*j. Determine r(c(y)). -4*y + 16 Let z(s) = 24*s**2 + 10*s - 22. Let v(c) = 9*c**2 + 3*c - 7. Let y(q) = 10*v(q) - 3*z(q). Let h(d) = -d**2. Give h(y(f)). -324*f**4 + 144*f**2 - 16 Let v(m) = -9*m**2. Let p(b) be the second derivative of -2*b**4/3 + 70*b. Determine v(p(f)). -576*f**4 Let p(r) = -18*r. Let a(z) = -2 - 4760*z - 4763*z + 2 + 9536*z. Calculate p(a(f)). -234*f Let i(f) = -24*f. Let k(d) = -168*d**2 + d. Give k(i(r)). -96768*r**2 - 24*r Let j(d) = 0*d**2 - d**2 + 3*d**2. Suppose 5*u + 7 - 82 = 0. Let g(s) = u*s - 30*s + 14*s. What is g(j(n))? -2*n**2 Let m be (12 - 12)/((-5)/5). Let q(v) be the third derivative of 0*v**4 - 3*v**2 + 0*v + 1/6*v**5 + 0 + m*v**3. Let a(y) = -2*y. Give q(a(x)). 40*x**2 Let r(l) = l**2. Let y = 1 + 1. Let d be 8 + (-1 + 3)/y. Let m(g) = -3*g**2 + 3 + d - 12. Determine r(m(k)). 9*k**4 Let t(s) = -28*s**2. Let u(d) = -6*d**2 - 5*d + 5. Let w(k) = -7*k**2 - 6*k + 6. Let z(c) = 6*u(c) - 5*w(c). Determine t(z(f)). -28*f**4 Let o(r) = -2*r. Let q(k) = 1222*k**2 - 3. Determine o(q(w)). -2444*w**2 + 6 Let w(z) = -86146*z**2. Let k(m) = 6*m**2. Give w(k(c)). -3101256*c**4 Let i(u) = -40*u**2. Let s(f) be the second derivative of -f**3/6 - 10*f. Let v(y) = 3*y. Let j(x) = -4*s(x) - v(x). What is i(j(z))? -40*z**2 Let j(b) = 2*b. Let w(f) = -164
{ "pile_set_name": "DM Mathematics" }
pose -24 = 2*x + 8. Let j be (x/10)/(34/(-85)). Let z = 1 + 1. Solve j = z*o + 10 for o. -3 Suppose -6*g = -g - 50. Suppose 6 = 4*n - g. Solve 2 = -2*o - n for o. -3 Let s(j) = -7*j + 1. Let a be s(1). Let r be (2/a)/(2/12). Let i be (1 - -1)/(r/(-4)). Solve i + 11 = -3*x for x. -5 Let w be (-8 + 70/10)/((-1)/15). Solve 123*o - 128*o + w = 0 for o. 3 Let u = -4 - -24. Suppose -u = -5*l - 5. Suppose -16 = -5*r - 3*d, -5*r + 22*d = 21*d - 8. Solve 0 = -2*w + l*w + r for w. -2 Let t(l) = l**2 + 42*l + 381. Let y be t(-13). Solve -2 = -y*x + 2 for x. 1 Let s = 583 - 583. Solve 0 = -s*b - 5*b for b. 0 Let j = -449 + 456. Solve 0 = -5*d + j + 3 for d. 2 Let s(u) = 7*u**2 - 109*u - 162. Let n be s(17). Let v(z) = -z**3 - 4*z**2 - 5*z - 6. Let f be v(-4). Let y be (-132)/(-28) - (-4)/f. Solve -y*l + n = -l for l. 2 Suppose -5*s = -3*v + 4*v - 17, -3*s + 9 = 0. Solve 10 = -v*r + 7*r for r. 2 Suppose -2*s = -4*v, 2*s - v = 7 - 4. Suppose -3*u = s*u - 5. Solve -4 = -r - u for r. 3 Suppose -25*g + 18*g = -84. Solve 0 = g*z - 9*z - 6 for z. 2 Suppose 10 = 6*y - 4*y. Suppose -y*h + 13 = -2. Let w be (-132)/(-9) + h/9. Solve 0*u = -3*u - w for u. -5 Let w = 202 - 201. Solve -w + 13 = 3*o for o. 4 Suppose 0 = p - 3*l - 2, 2*l + 4 = 4*p - 4. Solve 0*v - p*v = 0 for v. 0 Let u be -1 + 12 - (1 - 3). Let a = -10 + u. Suppose 0 = -2*n - 5*c + 5, n - 3*c = a*n - 7. Solve 0 = -7*h + 2*h - n for h. -1 Let o be (-13 - -9) + (48/2)/2. Solve -76*h + 80*h - o = 0 for h. 2 Let n be ((-70)/(-10) - 6)/((-2)/(-50)). Solve 0 = 11*d + 3 - n for d. 2 Suppose 0 = -y + 2*a - 10, -y = -a - 3*a + 20. Solve 142*l - 138*l + 16 = y for l. -4 Suppose -5*r - 242 = 3*m, 4*m - 3*m - 246 = 5*r. Let u = 102 + r. Suppose 8*d - 3 = u. Solve -4*v = -d*v for v. 0 Let k = 1480 + -1448. Solve 0 = k*a - 23*a + 18 for a. -2 Suppose -2*r + 2 = -3*c, -2*c + 0*c - 5*r - 33 = 0. Let a be ((-9)/2 - c)*0/(-3). Solve a = -5*o + 4*o for o. 0 Suppose -5*o - 5*i + 55 = -50, 3*o + 2*i = 62. Solve o = 29*m - 25*m for m. 5 Let i(o) = 290*o**2 + 2*o + 48 - 291*o**2 + 6*o. Let d be i(11). Solve -10 - d = -5*p for p. 5 Let y(j) = -j**2 + 10*j + 3. Let h be y(6). Solve -8*k - k = -h for k. 3 Let o = 93 - 88. Suppose 20 = o*w - 5. Solve -x = 4*x - w for x. 1 Suppose 0*t = 2*t - 4. Suppose -5*h = 2*y - 15, -y - h - t = -5. Suppose y = x - 2*x. Solve x = 3*m + 2*m for m. 0 Let l be (-1 - -1 - -1) + 1. Let b(p) = p - 6. Let j be b(8). Let n(c) = c**2 + 8*c + 9. Let x be n(-7). Solve 0 = l*h + x + j for h. -2 Let d(g) = -g**3 - 8*g**2 - 3*g - 6*g - 20 - 5*g + 2*g. Let i be d(-7). Let f = 6 + -2. Solve -f*h = -h - i for h. 5 Let y(l) = l**3 + 3*l**2 - 2*l - 3. Let d be y(-3). Suppose -d*a + 11 = -19. Suppose -15 = -4*p + 5*j, 5*p = 3*j + a - 1. Solve p = -v - 1 - 1 for v. -2 Let t be 0 - (60/(-5) - -4). Let p(j) = j - 5. Let o be p(t). Solve -2*n - o = n for n. -1 Let p be (5/3)/(2/30). Let l = -19 - -24. Suppose l*r + 2 = 27. Solve 0*b - p = r*b for b. -5 Let w = -1 - -1. Let x(f) = 2*f**3 - 16*f**2 + 20*f - 40. Let o be x(7). Solve -2*k - o = -w for k. -1 Let j(n) = -10*n - 16. Let q be j(-10). Solve q*o - 85*o = 0 for o. 0 Let l = -39 - -57. Let n = l - 37. Let s = 22 + n. Solve s*k = -4 - 5 for k. -3 Let n = 0 - -5. Let i(u) = -2*u + u - 20 + 25. Let z be i(-4). Solve 0 = -n*r - 16 - z for r. -5 Suppose 9 = x + 2*u - 0, 5*x - u = 56. Let s(q) = -q + 14. Let v be s(x). Solve -v*o + 5 = -4*o for o. -5 Let t(j) = 6*j**2 + 36*j + 6 + 0*j**2 - j**3 - 27*j. Let k be t(7). Solve z - k = 6*z for z. -4 Let r be 7*((-2)/(-10) - 112/(-140)). Solve 5*b - r*b = 8 for b. -4 Suppose 2*r = 2*h + 20 - 176, h - 5*r = 70. Solve 3*w + h = 92 for w. 4 Suppose 2*c + 12 = c. Let k = 10 + -6. Let p be 1/(c/k)*-12. Solve 0*i - 8 = p*i for i. -2 Suppose -3*t + 56 = -4*p, -t + 6*t = 2*p + 28. Let w = p - -11. Let a be (1/w)/(13/(-156)). Solve 3*h = 11 + a for h. 5 Suppose 123 = 7*j - 122. Solve 38*k = j*k for k. 0 Let x be -1 + (-1)/(-3) + 21/(-9). Let u be (-5)/((-20)/(-3))*(x - 1). Solve 4 = u*s + s for s. 1 Let x(n) = 46*n - 176. Let p be x(4). Solve -6 = 14*u - p*u for u. -1 Let w(a) = a**2 - 4*a. Suppose -3*f - 12 = 0, -5*n - 3 + 33 = -5*f. Suppose n*k - 12 = -2. Let z be w(k). Solve 3*t + z = 2 for t. -1 Suppose 0 = -3*k - 4*l - 1 - 3, -k - 2*l - 4 = 0. Suppose -6*c + k*m = -3*c - 9, -5*m = 0. Solve -c = -h + 2 for h. 5 Suppose 0*m = m. Suppose m = h - 148 + 148. Solve h = 3*g + g + 12 for g. -3 Let u be (10/(-4))/(3/(-66)). Suppose -s = -5*x - 0*s + u, 4*x - 4*s - 60 = 0. Solve -p + x = p for p. 5 Let g = -12078 - -12083. Suppose 0 = 3*v + 4*f - 16, 0 = 2*v + 3*f - 16 + 5. Let m be 1 + (1 - (v + -2)). Solve 2*k - g - 3 = m for k. 4 Let l(s) = s**3 - s**2 - 3. Let w be l(0). Let p = 5 + w. Suppose u = -h + p, -5 + 1 = -4*h - 2*u. Solve -n = -h*n - 5 for n. 5 Let o be ((-207)/138)/(2 - (-5)/(-2)). Solve 0*i + o*i = 12 for i. 4 Suppose -130 = 4*l - 174. Solve -36 + l = 5*h for h. -5 Suppose 25*v + 30*v = 9845. Solve 173*u = v*u for u. 0 Suppose 3*m - 5*q = 15, -7*m = -11*m + 5*q + 20. Solve 0 = -m*u + 4 - 14 for u. -2 Suppose -v = 2*v - 36. Suppose -3*l = -5*l + v. Suppose -j + l = 2*j. Solve y = j*y + 2 for y. -2 Let j be 3*(-1 - (-32)/12). Suppose 0*v - 5*v = -x + 15, -5*x = 0. Let q be (24/(-18))/(2/v). Solve j = -q*o + 3 for o. -1 Let x be (-1)/(1/(6/(-1))). Suppose -2*d = -0*d + x. Let o = 7 + d. Solve -3*r - o = -r for r. -2 Suppose -2*r + 3*j - 22 + 2 = 0, r = 3*j - 16. Let y be 4/14 + (-393)/(-21). Let i be y + 1/(r/12). Solve 6 = 2*w + i for w. -5 Suppose -667 = -19*o - 39*o - 87. Let j(d) = 3*d - 3*d + d + 5. Let g be j(-5). Solve 2*u - 7*u + o = g for u. 2 Let c(x) = x + 26. Let f be c(-5). Suppose -f*m + 16*m + 60 = 0. Solve -8*u - m = -4*u for u. -3 Let p be -4 - (-4 + 3) - (3 - -14). Let n be (-104)/(-18) + (-2)/(-9). Let y be 2/3 - p/n. Solve -y - 2 = -3*b for b. 2 Suppose 5 + 7 = 2*p. Let g = -1 - -5. Let l be ((-2)/(-7) - 12/(-56))*g. Solve l*k + 0*k + p = 0 for k. -3 Let i(v) = -5*v**2 + 149*v + 31. Let c be i(30). Solve 7*u = 6*u + c for u. 1 Suppose -25 = -27*p + 22*p. Suppose 3*o + 1 = -2*t + 14, -4*t = p*o - 25. Solve 4 = -t*c + 3*c for c. -2 Suppose 2*o - 4*b - 26 = 0, -3*o + b = -2 - 17. Let d(g) = g**3 - 6*g**2 + 4*g + 7. Let s be d(o). Solve 0 = s*r - 0*r for r. 0 Let g = 6 - 2. Let r(k) = k**3 - k**2 - k + 54. Let l be r(0). Suppose g - l = -5*y. Solve z = -z + y for z. 5 Let o = 51 - 69. Let k be (-4)/o - (-2394)/162. Solve 0*d + 3*d = -k for d. -5 Let m(g) = 15*g - 339. Let k be m(23). Solve -20 + k = -14*t for t. 1 Let f(u) be the first derivative of 3*u**2/2 - 21*u - 11. Let k be f(7). Solve k = -m - 3*m for m. 0 Suppose 2 = -k + 5*r, -3*k + 0 + 11 = 2*r. Solve 2*s - k*s - 3 = 0 for s. -3 Let a(i) = i**3 - i**2 + 3*i + 2. Let c be a(4). Suppose 75 = -4*v + 5*w - 1, 3*v - 5*w = -c. Let t be 13/2 - (-7)/v. Solve 0 = 3*q - t + 21 for q. -5 Let v be 2 + 3/(-3) + 3. Solve h = -v*h - 10 for h. -2 Let r(g) = -3*g**3 - g**2 - 2*g + 1. Suppose -z - 27 = -s, 5*s = z + 2*z + 145. Let x = -34 + s. Let h be r(x). Solve 9*i = 4*i + h for i. 5 Let k = 60 + -87. Let a = -23 - k. Solve 0 = -t - a for t. -4 Let l be 122/6 - 2/6. Let a be (-30)/(-45) + (8/(-3) - -2). Suppose a = 2*k + k - 2*k. Solve -3*q + 7*q - l = k for q. 5 Let y(a) = -4*a + 6. Let h be y(6). Let z be 50/h + (-2)/9 - -15. Solve -z = -0*p - 4*p for p. 3 Let q = -760 - -762. Solve q = 8*r + 10 for r. -1 Let n = 385 - 378. Solve 2*b + n = 17 for b. 5 Let l(i) = 77*i - 433. Let z be l(6). Solve 0 = -z*o + 33*o + 8 for o. -2 Let z be 4/(-11 + -1)*6 - -13. Suppose 0 = 3*g - 4 - z. Solve g*n - 5 = 5 for n. 2 Let s(i) = 2*i**2 + 5*i + 4. Let n be s(-3). Suppose 20 = 5*c + f, -3*f = -13 - 2. Solve 0 = c*p + n + 5 for p. -4 Let w(x) = -x + 10. Let z be w(8). Suppose -z*u = -i + 6, 0*i = 5*i + u - 8. Suppose -k = -0*k - i. Solve g = -k*g for g. 0 Suppose 23*o - 24*o = -3. Solve -2*w + o*w = -2 for w. -2 Let f = -150 + 150. Solve f = -2*c + 3 + 3 for c. 3 Let v = 174 - 173. Solve 5 + v = 3*f for f. 2 Let p(j) = -j**3 + 5*j**2 + 6*j - 40. Let x be p(4). Suppose -4*d - 19 = u, 10 + 7 = 2*u - 3*d. Solve u = -x*k - k for k. -1 Suppose 4*p = 16, -4*p + 4 = -4*o - 12. Let q = 2 - o. Let c(f) = f + 23. Let d be c(-19). Solve d = l + q for l. 2 Let l(r) = r**3 + 10*r**2 -
{ "pile_set_name": "DM Mathematics" }
= 5*n. Suppose 0 = -g*r + 105 + 186. Is r a prime number? True Suppose -23*q = -2*q - 92841. Is q a composite number? False Let y(l) = -l + 6. Let r be y(-5). Let s(q) = q**3 + q**2 + 3*q - 3. Let c be s(3). Let o = c - r. Is o composite? False Let r = 3 - 1. Suppose 3*s = -r*s + 530. Suppose -6*k + 4*k = -s. Is k prime? True Let n be 1/(((-8)/2946)/(-4)). Suppose c + d - 301 = -2*d, -5*c + d + n = 0. Is c prime? False Suppose 2*m - l = -2*l + 4, 5*l = 3*m + 20. Is (0 - -113)*(m - -1) prime? True Let g = -7 + 3. Let q be 1/(58/30 - 2). Let n = g - q. Is n prime? True Suppose 2*u - 6*u + 140 = 0. Is (-138)/(-21) + 15/u a composite number? False Let t = 6 - 3. Suppose -t*l = 0, -4*s - l = 4*l - 16. Suppose -s*p - 91 = -4*i - i, 0 = -4*i + 2*p + 68. Is i prime? False Suppose -2*x - 3*x = -5*w + 30, x + 2 = 0. Suppose 4*p - w*a - 607 = -183, 0 = p + a - 112. Is p prime? True Suppose -5 - 1 = 2*t. Let o(g) = 6*g**2 + 2*g + 3. Is o(t) a prime number? False Let p(r) = r**3 - 7*r**2 + 4*r - 13. Is p(7) prime? False Suppose -r - 3*h - 3 = 0, -4*h - 2 = 2*r - 0. Let t be 4 + -1 - (r - 2). Suppose t*y - 20 = -y + 2*f, 5*f + 11 = y. Is y prime? False Let u(r) = -96*r + 1. Let j be u(-4). Let i be 2*(-1 - 22/(-4)). Suppose -4*m - j = -i*m. Is m a composite number? True Let z = 53 + 418. Suppose -4*c + 7*c = z. Is c a prime number? True Let h(k) = k + 6. Let l be h(-4). Suppose 215 = 3*z + l*z. Is z composite? False Let d(i) be the second derivative of i**5/10 - i**4/3 - 2*i**3/3 - i**2/2 + i. Is d(4) composite? False Let f(b) be the first derivative of -61*b**2/2 + 8*b - 10. Is f(-3) a composite number? False Let r(u) = 115*u - 1. Let x be r(1). Let m = 52 - x. Let f = -7 - m. Is f a prime number? False Let d be 76/3 + (-8)/6. Let k = d - -1. Is k a prime number? False Is 1120/15 + (-4)/6 composite? True Let w = 635 - 298. Is w a prime number? True Let j = 68 + -37. Is j composite? False Let l(i) = 24*i + 5. Is l(3) a composite number? True Suppose -2*w + 3*p = -4, 26 = 5*w + 5*p - 9. Suppose -5*q + 36 = -j, -w*q + 4*j + 0*j = -39. Let r = 40 - q. Is r a prime number? False Suppose 3*u + 3 = 2*u. Let h(z) = 7*z**3 + 8*z**2 + 4*z + 2. Let g(x) = 8*x**3 + 9*x**2 + 4*x + 2. Let c(t) = 5*g(t) - 6*h(t). Is c(u) a composite number? False Let w be (-118)/(-14) + 18/(-42). Let y = 119 + w. Is y composite? False Let f(j) = -3*j - 5. Let t = -9 - -3. Is f(t) composite? False Suppose -w + 67 = w - 5*d, -w - 4*d = -27. Is w a composite number? False Is (3/2)/(12/1688) a composite number? False Suppose 2*b - 8 = 0, -2*d + 5*b + 12 = 48. Let o = -1 - d. Suppose 42 = a - o. Is a prime? False Let m be 1 - ((3 - 4) + -2). Suppose 3*k = m*a + 2, 0*k = 2*k + 4*a - 28. Is k/24 + 1190/8 composite? False Suppose 2*u - 1 = 3*u. Let t be (u - 0)*(-8)/4. Suppose -c + 75 = t*c. Is c prime? False Suppose 7*h - 16 = -3*a + 2*h, -8 = -4*h. Suppose a*b - 3*x - 37 = -1, -2*b + 44 = -5*x. Is ((-56)/b)/(1/(-3)) prime? False Let u be (8/2)/(2/3). Suppose 3*p + 36 = 2*y + p, -4*p = 2*y - u. Is y a composite number? False Let q be 18/8 + 1/(-4). Suppose q*y = 2*j + 326, 0 = 4*y - j - 0*j - 643. Suppose 2*s + x - y = -4*x, -3*s - 5*x + 245 = 0. Is s prime? False Suppose -1127 + 35 = -4*l. Let a = l - 164. Is a prime? True Suppose 0 = 82*v - 89*v + 10619. Is v prime? False Suppose 0 = -4*d + 5500 + 1616. Is d a prime number? False Suppose -2*h + 400 = -0*h. Let r = -33 + h. Is r a prime number? True Let u(w) = 388*w**2 + 3*w - 2. Suppose -3*f - 2*f = -5. Is u(f) a prime number? True Let m be (3 - 4)/2*334. Let l = m + 298. Is l a prime number? True Is (-3208)/(-16) - (-1)/2 a composite number? True Let a(k) be the second derivative of -k**4/12 + 13*k**3/6 + 2*k**2 + 2*k. Is a(11) composite? True Let j = 13 - -1. Suppose j*u = 10*u + 452. Is u prime? True Suppose -717 = -3*q + 54. Is q composite? False Suppose -x + 5*h + 112 = -0*x, 2*x = 3*h + 245. Is x a prime number? True Suppose -2*a + 4*t - 20 = 0, t = -a - 12 - 1. Let h = 9 - a. Is h composite? True Let m(b) = -11*b**2 + 6*b - 4. Let j be m(4). Let h be (-10)/3*j/10. Let z = h - -13. Is z prime? False Suppose 0 = 2*q - 2*m, 4*q = 3*q - 2*m. Suppose -3*s + q*s = -213. Is s composite? False Suppose 9*x - 1979 = 2242. Is x composite? True Suppose -4*f + 8 = 2*i, 0 = f + 2*i + 3*i + 16. Suppose 998 = f*c - 2*g, 0*c + 2*c = -2*g + 508. Is c composite? False Let h be -5 - 5/(5/(-2)). Let b(v) = v**2 + v + 2. Let s be b(h). Is 1/(-4) - (-122)/s composite? True Is -11*(-20)/((-16)/(-4)) composite? True Suppose 0 = -4*b + 297 - 21. Let m(i) = 2*i - 17. Let z be m(10). Suppose 0*j = z*j - b. Is j a composite number? False Let r(b) = -b**2 + 4*b - 2. Let a be r(5). Let o(p) be the first derivative of -5*p**2/2 + 2*p - 1. Is o(a) a composite number? False Is (2/(-4))/((-4)/4328) composite? False Let w = 448 - 269. Is w prime? True Let k(m) = 117*m**2 + 5*m - 5. Is k(2) a composite number? True Let c = -1044 + 1631. Is c a prime number? True Let u = 176 - 90. Suppose u = t - k, 6 = -2*t + k + 183. Is t a composite number? True Suppose -2*v = -4*m + 5*m - 8, 5*v - 5*m = -10. Let d(c) = 107*c - 3. Is d(v) composite? False Let m = -6 - -10. Suppose 9*w - 1055 = m*w. Is w a prime number? True Suppose 3*o + 37 = j, 2*j = -2*j - 2*o + 176. Is j a composite number? False Suppose 0 = -3*n - 37 + 10. Let j(i) = -i**3 - 10*i**2 - 10*i - 9. Let l be j(n). Let f(x) = x**2 + x + 35. Is f(l) a composite number? True Let y(q) = 153*q**3 + q**2 - 2*q + 1. Let i be y(1). Is ((-6)/9)/((-3)/i) prime? False Let p be (-1)/(1/(-1 + 24)). Let m(s) = 233*s**3 - s**2 + s + 1. Let v be m(-1). Let c = p - v. Is c composite? False Let z = 79 + 121. Suppose z = 5*q - 0*q. Is (-1)/(-3) + q/6 a composite number? False Let w(o) = o**3 + 4*o**2 - 4*o + 2. Suppose -5*c - 5 = 3*s, 2*c - 8 = -2*c. Let z be w(s). Is z - -1 - 1*-5 composite? False Let q = -1884 - -2858. Let o = 1403 - q. Suppose 3*u = 144 + o. Is u a composite number? False Let r(v) = -10*v - 3. Is r(-5) a prime number? True Let c be -2 + 5 - (-4 + 2). Suppose 2*y + c*x + 1 = 0, -5*y - 4*x = -x - 26. Is 383/y - 2/(-7) composite? True Let h = 105 - 22. Is h a composite number? False Is (41/41)/(((-6)/(-25882))/3) prime? True Is (-1 + -3)*142536/(-96) composite? False Let t(q) = 777*q**2 + 17*q + 13. Let n(l) = 194*l**2 + 4*l + 3. Let h(g) = 9*n(g) - 2*t(g). Is h(-1) prime? True Let w be ((-8)/(-6))/((-1)/(-3)). Let m be ((-1)/3)/(w/(-12)). Is 1/(m*(-3)/(-633)) composite? False Let o = -460 + 875. Is o a composite number? True Let o(c) = c**3 + 27*c**2 + 18*c + 55. Is o(-23) a composite number? True Let v = 50 - 29. Is v a composite number? True Suppose -270 = 5*p + 4*q, -36 = -5*q - 11. Let y = 141 + p. Is y a prime number? True Let i = 655 + -444. Is i a prime number? True Let k = 4 - 11. Let h = -5 - k. Suppose -2*l + 4*t - h*t + 32 = 0, -4*l = -5*t - 69. Is l composite? False Let i(q) be the third derivative of -q**6/120 - q**5/30 + 5*q**4/24 - 5*q**3/6 + 3*q**2. Let y(m) = -m**2 - 4*m + 6. Let h be y(-6). Is i(h) a prime number? True Is (0 + 5 - 0)*(44 + -7) prime? False Let n(c) be the second derivative of c**4/12 + c**3/3 - 5*c**2 + 5*c. Is n(9) a prime number? True Let n(o) = 26 - 13 + 9*o - 39*o. Is n(-12) composite? False Suppose o = 2, k - 3*o + 8*o = 1269. Is k prime? True Let c(u) = -197*u - 8. Is c(-5) a composite number? False Let j(r) = 43*r - 5. Suppose 4*n - 8 + 52 = 0. Let f = n + 15. Is j(f) prime? True Is 0 + 1542 - (1 + -2) composite? False Let j(f) = 6*f**2 - 2*f + 7. Let q be j(-5). Let c = q + -102. Is c a prime number? False Let j(g) = 95*g + 4. Let f be j(6). Suppose 1898 = 4*x + f. Is x a composite number? False Let a(p) = -47*p + 7. Let i be a(-5). Suppose -i = -4*y + 230. Is y prime? False Let q(s) = 169*s**3 - s + 1. Let j(v) be the second derivative of -v**4/12 + 7*v**3/6 - 5*v**2/2 + 3*v. Let t be j(6). Is q(t) a composite number? True Suppose -2*b = 3*u + 11, -b - b - u = 13. Let n(k) = k**2 + 2*k - 4. Is n(b) composite? False Is 219*6/6 - -4 composite? False Suppose -2*x - 56 = 2*x - 3*o, 4*x = -2*o - 56. Is x/91 - 691/(-13) a prime number? True Let o = 5 + -1. Suppose o*x - 17 = 3*a, 0*a = 5*x - 5*a - 20. Suppose x*q + 20 = 0, -6*v + 1467 = -v + 2*q. Is v prime? False Let d(s) = s**3
{ "pile_set_name": "DM Mathematics" }
composite number? False Let p(r) = 85*r + 18. Let y = -39 + 56. Let x = 24 - y. Is p(x) a prime number? True Suppose -3506 = -2*q - 4*b, 18*q - 8795 = 13*q - 4*b. Is q a composite number? True Let q be (3/(-2))/((-6)/(-2224)). Let f = -293 - q. Suppose f = c - 0*c. Is c a composite number? False Is (5 - (4 + (1 - -1)))*-8489 a prime number? False Let b = 107 + -102. Suppose -b*i = 1656 - 4361. Is i a composite number? False Let p(a) = -2*a + 155. Suppose 5*v = 2*o - 0*o + 10, 0 = 4*v + 3*o + 15. Is p(v) prime? False Is 3/(-18) - 1*(-35438)/12 composite? False Suppose 322 = 2*x + 4*n, 8*x - n = 10*x - 322. Let t(v) = -v**2 - 7*v - 3. Let b be t(-6). Suppose -b*g + x + 52 = 0. Is g prime? True Let d(l) = 18*l**3 + 12*l**2 - 24*l + 17. Is d(6) prime? False Suppose 0*c + 12*c - 18242 = -2*t, 4*c = -4*t + 36464. Is t a prime number? False Suppose 4*o = -o + 4*c + 16140, -3*o = -4*c - 9684. Suppose -4*d + 0*d + o = 0. Is d a composite number? True Let d(y) = -91*y - 3. Let l(f) = 2*f + 17. Let n be l(-7). Suppose 14 - 1 = k + 5*b, 0 = n*k - 3*b + 15. Is d(k) prime? True Let k = -365 - -979. Suppose -2*z = 329 + 229. Let b = k + z. Is b a composite number? True Suppose -22181 - 14668 = -3*d. Is d prime? False Let z = -6456 + 12037. Is z a prime number? True Let m(a) be the third derivative of a**6/120 - 11*a**5/60 + 5*a**4/8 - 5*a**3/2 - 39*a**2. Suppose k = -z + 9, -5*k + 4*z + 21 = -33. Is m(k) a prime number? False Let k(d) = -d**3 + d**2 - 6*d - 1. Let w = 17 - 22. Is k(w) a prime number? True Let h be 11666/6 + (-8)/6. Suppose -196 = 3*z + h. Let n = -184 - z. Is n a composite number? True Suppose 7*s - 11*s = -8, 4475 = q - 3*s. Is q a composite number? False Is -5 + 7613 + (3 - -2) a composite number? True Suppose a - 5*z - 167 = 123, -3*a = z - 886. Suppose 3*i + a = g, 3*g = 5*i + 262 + 639. Is g a composite number? False Let r = -140 - -144. Let m(q) = -q**3 + 11*q**2 + q + 8. Let d be m(6). Suppose -d = -r*p + 66. Is p composite? True Suppose -2*s = -3*q + 9, -q + 2*s = -s - 10. Is 83/((3 - q)/6) a prime number? False Let f(c) = 369*c**2 + 3*c - 22. Is f(9) a composite number? True Suppose -10*q = -1263 - 2467. Is q composite? False Let u be (-618)/(-42) + 2/7 + -2. Suppose -8*p = -u*p + 8845. Is p a composite number? True Suppose -117*f + 542175 = -92*f. Is f composite? True Let c be 255 - (-1)/(2/8). Let t = c + -120. Is t composite? False Suppose -4*f = -702 - 134. Is 1*(3 + f) - -3 prime? False Let k(w) = w**2 + 5*w. Let r be k(-5). Suppose -m + 2*m = r. Suppose 5*z - 1569 - 316 = m. Is z a prime number? False Suppose 0 = 3*s + 4*w - 3053 - 3581, 2*w + 11100 = 5*s. Suppose 4*n - s = 3*v, 3*n - 2*v - 1655 = -4*v. Is n a composite number? True Suppose -17*p + 10933 = -4*p. Suppose j + 2*v = p, j + j - 1674 = 4*v. Is j a prime number? True Suppose q = -3*q + 48. Let v be ((-32)/q + 2)*-15. Let m(o) = -o**3 + 12*o**2 - o - 5. Is m(v) a composite number? True Suppose -6434 = -2*c + 4*s - 0*s, c - 5*s = 3208. Is c a composite number? True Let f(h) = h**3 + 13*h**2 - 7*h - 12. Suppose 4*q = -5*y - 72, q + 6*y = 2*y - 29. Is f(q) composite? False Suppose -4*a + 758 + 62 = 2*w, 0 = -3*w + 6. Let l = 235 + a. Is l a composite number? False Let z(n) = 117*n**2 - n + 3. Let o be z(5). Let w = o - 1968. Let g = w + -620. Is g a prime number? False Let u(m) = 2*m**2 - 6*m - 15. Let g = 7 - -2. Let o be u(g). Let r = o + -58. Is r a composite number? True Suppose j + 2*u - 3 - 13 = 0, -2*j = -u - 7. Is (26/j)/(1/3) composite? False Let c be (-5 + 11*16)*3. Suppose -2*d + 0*b = -4*b - 274, -4*d + b + c = 0. Is d composite? False Let j(g) = 600*g**2 + 59*g + 17. Is j(6) a composite number? True Let v(i) be the second derivative of -3*i**5/20 - i**4/3 - 5*i**3/6 - 3*i**2 - 14*i. Is v(-7) a composite number? True Suppose n + 20 = -2*a + 5*n, -n + 8 = -2*a. Let k be 2 + a + (-2)/2. Is (-2 + 3)*-129*k a composite number? True Suppose -32240 - 117450 = -10*u. Is u prime? True Suppose -4*x - 5 = -3*r, x = -2*r + 5*r - 8. Is 788 - 3 - -3 - x a composite number? False Suppose -61*d + 55*d = -168114. Is d prime? True Let j(l) = -l**2 - 13*l - 4. Let v(c) = 6*c + 26. Let k be v(-6). Is j(k) composite? True Let y(g) = g**2 + 2*g - 1. Let s be y(1). Suppose -4*p + 4215 = -s*d + d, 0 = -2*p - d + 2103. Let q = p - 662. Is q prime? False Let r be 2/14 - 65/(-35). Suppose r*k - 11 + 3 = 0. Suppose -4*a + 1480 = 4*u, -745 = -2*u + a - k*a. Is u a composite number? True Let i = 43195 - -2176. Is i composite? True Let p = -6 - -18. Let j = 154 + p. Suppose -5*b = -579 - j. Is b prime? True Let d(j) = 4*j**2 + 2*j - 21 - j - 3*j**2. Is d(-10) prime? False Let n = 240 + 15. Let d be -5 + n - (-6)/2. Let q = 371 - d. Is q prime? False Let a = -444 + 855. Is a prime? False Let g(w) be the second derivative of 3*w - 3/2*w**3 + 3/2*w**2 + 5/6*w**4 + 0 + 1/20*w**5. Is g(-8) a composite number? True Let p = 1585 - -306. Is p prime? False Suppose 348264 = 4*f + 4*w, 3*f = f - 3*w + 174127. Is f a prime number? True Suppose -2*p + 271 = -157. Let n = 735 - p. Is n prime? True Is (7 + -9)*(-25634)/4 prime? False Let i be 217/77 + 2/11. Is -3 - (4 - 349) - i a prime number? False Suppose 3*x - 5*v = 34217, 0 = 4*x - 0*v + 4*v - 45580. Is x a prime number? True Let v be (-3)/12 + 23871/12. Suppose v = -5*a - 2251. Is 1/5 + a/(-10) prime? False Suppose 0 + 3 = -3*k. Let j be 3/(-12) + k/(-4). Suppose -3*m + 207 + 42 = j. Is m composite? False Is 6 + 3/6 + (-89931)/(-6) a prime number? False Suppose -802 = 3*r - 46. Is 3 + 2 - r/1 a composite number? False Let w = -12 + 15. Is ((-852)/15)/(6/(-45)*w) a prime number? False Let r(f) = 2*f + 3. Let j(t) = -23*t + 18. Let l(s) = -j(s) + 4*r(s). Let v = 21 - 14. Is l(v) a composite number? False Suppose 4*g - 15 = g. Suppose 12 = 5*y + o - 16, -3*o = -g*y + 16. Suppose -y*a = -4*u + 332, 0 = 5*u + 5*a - a - 415. Is u a composite number? False Let v(i) = -35*i**3 + 6*i**2 + 7*i. Let u be v(-3). Let k = u - 532. Is k composite? True Suppose 4*q + 14*g = 9*g + 4221, q - g - 1044 = 0. Is q prime? True Suppose -25 = -2*d + 4*x + x, -4*x = d + 7. Suppose j - d*j + 3812 = 0. Is j composite? False Is (30908/(-6))/(-3 - (-56)/24) a composite number? False Let u(x) = -x**2 + x + 2. Let v be u(0). Suppose -5*m - h + 26362 = -2*h, -v*m + 5*h + 10531 = 0. Suppose 5*k - m = -708. Is k prime? False Let j = 12798 + 2743. Is j a composite number? False Is (535 + 38)/(((-18)/(-58))/3) prime? False Let t(m) = 57*m + 2. Let n be t(-5). Let h = n + 66. Let u = -128 - h. Is u a prime number? True Is (60586/16)/((-49)/(-392)) a composite number? False Suppose 0 = -5*a + 25, -4*o + 4*a = -6*o + 30. Suppose 2*v - 1251 = -o*m, -4*v - m + 1151 = -1342. Is v prime? False Let u = 1992 + -1387. Let s be 16/(5 - 1) + -4. Suppose 5*x + s*x - u = 2*g, -605 = -5*x - 4*g. Is x a composite number? True Let x(c) = 22*c**2 - 4. Let i be x(4). Suppose g - 3*o = -3, 2*g - 20 + 4 = -5*o. Suppose g*l - v = 150 + i, -4*v - 332 = -2*l. Is l a prime number? False Is (-64 - 5603)/(3*(-3)/39) prime? False Let q = -12480 - -19157. Is q prime? False Suppose -4*z = -12149 - 287. Is z a prime number? True Let c = -9560 + 16299. Is c a prime number? False Suppose -2961 - 3857 = -14*u. Is u composite? False Suppose 2*w + 15 - 2 = 5*o, 5*w = -o + 8. Let r(m) = 1368*m**3 + 2*m**2 + m - 2. Is r(w) prime? False Suppose w + 7*t - 2*t = 2749, 3*w - 2*t - 8196 = 0. Is w composite? True Suppose 0 = 3*b - 2*j - 7387, 2*j - 9851 = -4*b + 3*j. Is b prime? False Suppose 5*g + 677 = 6*c - 2*c, c - g = 168. Is c a composite number? False Suppose 7*a + 4*u = 2*a + 3, -9 = 2*a + 5*u. Suppose 4*w - 463 = 5*h, -a*h - 229 = -2*w - 0*h. Suppose p - w = 77. Is p prime? True Suppose 20*p - 342295 - 145765 = 0. Is p prime? False Suppose -7*a + 3*a - 4 = 0, 3*b + 3*a - 375 = 0. Let s = 91 + b. Is s prime? False Let s(y) = -534*y**3 + 2*y**2 - 3*y - 3. Is s(-2) composite? False Suppose -11664 + 4929 = -2*b + f, 10 = -2*f. Is b prime? False Let v(l) = -l**3 - 6*l**2 + 6*l. Let k be v(-7). Suppose -5*r = k - 27. Suppose -r*w + j + 1223 = 0, 519 = 2*w - 5*j - 106. Is w prime? False Is (-92895)/(-11) + (-6 - -4) composite? False Suppose 3*l + 72 = 4*t, 4*l - 8*t + 4*t = -100. Is (-7)/(l/2448) - -2 composite? True S
{ "pile_set_name": "DM Mathematics" }
77/121*(-6)/21. What is the nearest to -1 in -0.5, -5, m, -1? -1 Let x = 856 - 372. Let y = -487 + x. What is the closest to 1 in 4, -1/7, y? -1/7 Let u(l) = -l**3 + 17*l**2 + 31*l - 86. Let c be u(19). Let v = c + 877/4. What is the nearest to 0.5 in 2, v, 4? v Let y be 10 - (-3 - 39/(-15)) - 10. Which is the closest to y? (a) -4/3 (b) -3 (c) -14.1 (d) 5 a Let d be (-6)/45*(-5)/1. Let i = -10/3 + 7/2. Let k = -169 + 169. Which is the closest to k? (a) d (b) i (c) 2 b Let b = -4749.51 - -4749. What is the closest to 0 in 5, 0, b, -4? 0 Let i = -3.94 + -0.06. Let n = 67/8 + -17/2. Let q = 0.1756 + -0.1756. Which is the nearest to q? (a) i (b) n (c) 5 b Let p = -12.5 - -12. Let f = 24 + -6. Let u = f + -18. Which is the closest to u? (a) -0.6 (b) 5 (c) p c Suppose -4*r - 5*w + 13 = 0, -r + 2*w - 11 - 2 = 0. What is the closest to r in 0.1, -0.19, -0.5, 4? -0.5 Let j = -4 + 54. Let p = 54 - j. Which is the closest to 1? (a) -1/5 (b) -10 (c) p a Let r = 0.5 + 2.5. Let s = -61.45 - -61.55. Which is the closest to 1/4? (a) s (b) 4 (c) r a Let d be 6/((-6)/45*1). Let m = 46 - 4. Let x = d + m. What is the closest to -1 in x, 4, 1/23? 1/23 Let k(g) = g**2 - 14*g + 8. Let i = -56 + 55. Let r be i/2*(-22 + -4). Let y be k(r). Which is the nearest to -0.6? (a) y (b) -1/3 (c) -0.06 b Let t = -11.1119 + -1.3591. Let n = -0.129 + t. Let v = n + 11.8. Which is the nearest to v? (a) 4 (b) -3/7 (c) 0.4 b Let w = -16225 - -373173/23. What is the closest to w in 1/7, -2/5, -12? 1/7 Suppose 3 + 3 = -2*l. Let q = -223/3 + 75. Let y be 53/10 + (-2433)/8110. Which is the closest to q? (a) -2/3 (b) y (c) l a Let i = 6882 + -6882. Which is the closest to -0.2? (a) 4 (b) i (c) -5 (d) 19/2 b Let l = -21214 + 21468. What is the closest to 0.2 in l, -3, -1/4? -1/4 Let n = -33 + 33. Let k = -0.07 + 0.37. Let m = -0.0846 + 0.0846. Which is the closest to m? (a) 0.09 (b) k (c) n c Let h = -4529.021 + 4582. Let f = h - -0.021. Let p = 48 - f. What is the nearest to 1/4 in 30, p, 2/3? 2/3 Let m be (-100)/(-125) + (-10)/25. What is the closest to m in 3/4, -0.1566, -2/11? 3/4 Let p = 5275 - 5275.3. Let v = -3.89 - 0.11. Which is the nearest to v? (a) 0.1 (b) p (c) -2 c Let d = 1481/57 + -120/19. Let j = d + -233/12. Which is the nearest to j? (a) 0.4 (b) -0.3 (c) 6 a Let h = 0.1 + 0.4. Let r = -258.59 - -260. Let x = r - 4.41. Which is the nearest to x? (a) h (b) -1 (c) 1 b Let k = -7917/8 + 910431/920. What is the closest to -1/4 in 0.8, -0.1, k? -0.1 Let k = 63.5 - -11.5. Let y = 78 - k. What is the closest to 9 in y, -1, -0.5, -2/3? y Let m = -145 + 145. Let k = 3099 - 3094. Which is the nearest to 4? (a) -0.3 (b) k (c) m (d) -2/13 b Let d = 16192.6 - 16193. What is the nearest to d in 0.04, 23, 1? 0.04 Suppose -70*s + 69*s - 20 = 5*w, 4*s + 20 = 0. Let u be 12/(-14)*(2 - 9). Which is the nearest to 0.1? (a) 0.5 (b) u (c) w a Let x = 214 + -224. Let w be (-3)/(x + 7)*6/(-2). What is the nearest to -1 in w, 0.2, -5? 0.2 Let f = -28068 - -28068.1. Let s = -136/3 + 45. Let r be 1 + 3*1/(-4). Which is the closest to r? (a) s (b) f (c) -2/9 b Let h = -5694.1 + 5694. Let t be ((-6)/(-4))/(9/24). Which is the closest to h? (a) -4 (b) 2 (c) t b Let p = 0.156 - -0.244. Let m = -2/13 - -17/26. What is the nearest to -1/3 in -0.3, p, m? -0.3 Let h = 125.3 - 125.923. Let m = h + 0.323. What is the nearest to -0.2 in -5/2, m, 0.4, -2/9? -2/9 Let k = -12891 + 12884. Which is the closest to 4? (a) -5 (b) k (c) 0.3 c Let h = -88 + 124. Let x = -36.24 + h. Let q = x - 0.76. What is the nearest to q in -5, 12, -1/4? -1/4 Suppose -3*j + 5*t + 488 = 4*t, -5*t = 3*j - 494. Let w = -490/3 + j. Which is the closest to -7/3? (a) w (b) 1 (c) 0.5 a Let p = 6.21 - 2.21. Let r(y) = 5*y + 10. Let x be r(0). Let z(m) = -3*m + 28. Let l be z(x). Which is the closest to -1/3? (a) l (b) p (c) -0.03 c Let i = -5.1 + 5. Suppose 2*f + 2*k - 197 = -3*f, 4*k - 82 = -2*f. Let a be (3 + (-1 - 3))/(13/f). What is the closest to -2 in 0.4, a, i? a Let i be 0/2 - ((-20)/(340/119) - -9). What is the closest to 23 in -3, 16, i? 16 Let r = 209 + -285. Let y = -381/5 - r. Which is the closest to -0.1? (a) -3/7 (b) y (c) -0.02 c Let t be (2/15)/(81/135). Suppose 0 = 176*h - 26*h. Which is the closest to h? (a) t (b) -0.3 (c) 3 (d) -1 a Let i be (-4)/(-10) + (-39)/60. Let d be 34/5 + (-3 - -2). Let k = d + -27/5. Which is the nearest to k? (a) -19 (b) -2/3 (c) i c Suppose 0 = 43*d + 80 + 1296. Let g be (d/10 + 3)/(-5 - -3). Let w = 0.1 - 0.1. What is the nearest to w in g, 0.2, -2/7? g Let s = -53.2 - -51. Let p = 227/4 + -57. What is the nearest to 0 in s, p, 2/11? 2/11 Let v be (320/12)/(-16)*4/(-20). Which is the closest to v? (a) 2/3 (b) 0.1 (c) -168 (d) 2 b Let w = 0.1 + -0.1. Let x = 47337.1 - 47337. Which is the closest to w? (a) -6 (b) x (c) 5 b Let f = 444.3 - 443.9. What is the nearest to 29 in -1, 5, f, -4/3? 5 Let z = -3319 + 3318. What is the closest to 6/7 in -0.6, 1/2, z? 1/2 Let l be (-1506)/(-4)*(-20)/(-105). Let u(i) = i**3 - 7*i**2 - 10*i - 2. Let w be u(7). Let d = w + l. What is the closest to -0.1 in d, -4, 4/5? d Let n = -5 + 1. Suppose 0 = 20*m - 187*m - 480*m. What is the closest to -0.1 in n, m, 3/2? m Let o = -1.8 + 2.2. Let w = 330 + -331.6. Which is the nearest to -5? (a) 1/3 (b) w (c) o b Let q = -6684 - -20033/3. Which is the nearest to -0.3? (a) q (b) 0.21 (c) -0.4 (d) 5 c Let q = -6 + 11. Let l = 0.063 + -0.463. Let t = -89 + 91. Which is the nearest to -2/3? (a) q (b) l (c) t b Let l = 9/46 + 5/92. Let q = 9 - 29/3. Let u = -2/149 - 437/745. Which is the closest to l? (a) q (b) -5 (c) u c Let d = -106 - -1588/15. Let w = 0.225 + -0.025. Let o = -3.55 - -3.52. What is the closest to w in o, d, -0.3? o Let p = -0.17605 - -4.17605. Which is the closest to 0.08? (a) p (b) 10 (c) 2/13 (d) -5 c Let j(y) = -y**3 + 4*y**2 + 97*y - 203. Let u be j(2). Which is the nearest to u? (a) 4 (b) -2/5 (c) 0.167 (d) 0.2 b Let v = 1977/7 - 49404/175. What is the closest to -0.2 in -1, v, -4/9? -4/9 Let g = -3949 - -4206. Which is the nearest to g? (a) -3 (b) 0 (c) 2/5 c Let l = 1.3 - 1. Let d = 0.267 - 2.207. Let r = d + 1.74. What is the closest to r in l, 3, -0.1? -0.1 Let h be ((-434)/(-9548))/(1/33). What is the nearest to -2/5 in h, -131, 2? h Let o(v) = v + 3. Let k = -26 + 27. Let p(r) = 1. Let q(d) = k*o(d) + 2*p(d). Let u be q(-4). Which is the closest to 1/2? (a) -0.2 (b) u (c) -15 b Let l be (-40)/(-25) + -1 + -1. Let c = -754/2271 - 1/757. What is the nearest to -2 in c, 2, l? l Let d = 4081 - 4084. Which is the closest to 0? (a) d (b) -0.018 (c) -0.4 b Let k = -1 - -1.2. Let y = -129502 + 129499. What is the closest to k in -0.1, y, 1? -0.1 Suppose 6*q - 19 = q - k, -q + 2*k - 5 = 0. Let u be q/63*(13 + -22). What is the closest to -2 in u, -0.3, -8/7? -8/7 Let z = 6.6 - 6.7. Let v = -625 + 1115/2. Let b = v + 67. What is the closest to b in z, -1/2, -4? -1/2 Let g = -84.7 - -84. Which is the closest to g? (a) -0.3 (b) 0.3 (c) -0.1 (d) -3 a Let t = 15932 - 15924. Which is the nearest to -4? (a) -0.5 (b) 1 (c) t a Let o = 1/73 + 361/292. Let t = -144195/17 - -8482. Which is the closest to t? (a) 4/7 (b) -1 (c) o a Suppose -4*u - 25 = 3*n, -5*n = -8*u + 3*u - 5. Which is the closest to 0.1? (a) -0.7 (b) 1 (c) 2/5 (d) n c Suppose 0 = -112*f - 66*f + 890. What is the closest to 0.1 in -1/3, 1, f, -0.265? -0.265 Let p(v) = -25*v + 242. Let o(g) = g**3 + 11*g**2 - 2*g - 12. Let w be o(-11). Let t be p(w). What is the closest to t in 5/3, -5, 2? -5 Let m = -1.63 - 42.37. Let s = -51 + 12. Let a = m - s. What is the closest to 1/4 in 2/5, 3, a? 2/5 Let r = 1.872 + -1.272. Which is the closest to r? (a) 0.3 (b) 2/7 (c) 1 a Let o = 13 - 18. Let k = -89.3 - -89. Let p(t) = 3*t - 14. Let d be p(5). What is the nearest to k in -1/5, o, d? -1/5 Let z = 1 + -1. Let o be (-12)/(-34) + (-53792)/89216. Which is the nearest to -2? (a) o (b) -1 (c) z b Let r be 6/51 - (-2 + (-1182)/(-510)). What is the nearest to -1/2 in r, 0, -4? r Let m = -50.3621 - -0.3621. What is the nearest to m in -5, -1/4, 0? -5 Let p = -5 + 18. Let d = 13.3 - p. Let q = 549 + -554. What is the nearest to
{ "pile_set_name": "DM Mathematics" }
Suppose -122 = d*i - 113. Let n(a) = -5 + 5*a**2 - 4*a**2 + 3*a + 2. Determine n(i). -3 Let k be (324/12 - 26)*(0 - 10). Let a(j) = 4*j + 3. What is a(k)? -37 Let n(w) = -w + 1. Let g(h) = -5*h**2 + 5*h + 11. Let o(p) = 2*p**2 - 2*p - 4. Let x(l) = 3*g(l) + 8*o(l). Let t be x(2). Suppose 0 = -t*d + d. What is n(d)? 1 Let x(b) = 4*b - 8*b + 38*b - 24*b - 1 - 9*b. What is x(6)? 5 Let z = -877 - -877. Let j(t) = -t**3 - t**2 + 34. Calculate j(z). 34 Suppose 5576*a = 5637*a + 671. Let h(n) = n**3 + 10*n**2 - 16*n - 33. What is h(a)? 22 Let s(x) = -3*x - 23. Let c = 19 + -17. Suppose 2*i - 50 = 5*w - 0*i, c*i - 26 = 2*w. Let z be s(w). Let d(j) = -17*j**2 + j - 1. Determine d(z). -17 Let d be 25/10*((-108)/15 - -8). Let w(j) = -8*j**2 - 2*j + 6. Give w(d). -30 Let f(o) = -25*o + 60. Let j(a) = -7*a + 16. Let d(w) = -f(w) + 4*j(w). Calculate d(3). -5 Let w(f) = 3*f**3 - 20*f**2 + 5*f - 2. Let r = -13129 + 13135. What is w(r)? -44 Let v = 1972 - 1980. Let m(a) be the first derivative of a**4/4 + 7*a**3/3 - 7*a**2/2 + 9*a - 6. Determine m(v). 1 Suppose 0 = 2*p, -c - 4*p = -7*p - 2. Let w(g) = -g**2 - 4*g**2 + 9*g - 4 - g**2 + 7*g**c - 3*g. What is w(-5)? -9 Suppose 5*q - 3*q + 28 = 0. Let r(x) be the first derivative of x**2/2 + 12*x - 6130. Calculate r(q). -2 Let o(u) be the third derivative of u**5/60 - 5*u**4/24 + u**3/2 + 2*u**2 + 535*u. Give o(1). -1 Let a = -32 + 37. Let q(t) = -2*t**2 + 10 - 18 + 6*t**2 + t**3 - t + a. Determine q(-5). -23 Let p(d) = 5*d - 199. Suppose 569*k - 481*k = 3520. Determine p(k). 1 Suppose -28*r - 5*p - 50 = -23*r, -4*p = -r + 25. Let q(t) = -2*t**3 - 8*t**2 + 7*t + 29. Determine q(r). -10 Let h(o) = -6*o + 78. Let u be h(14). Let d(k) = -19*k + 23. Let t(g) = 41*g - 45. Let c(x) = u*t(x) - 13*d(x). Give c(0). -29 Suppose -5*w - 3*b - 12 = 0, 2*w = -2*w + 3*b - 15. Let v = w + 25. Suppose -2*r = v - 14. Let z(c) = c**2 + 6*c + 2. What is z(r)? -6 Let i = 13 - 8. Suppose 5*s = -2*h - 40, 3*s - i*s - 4*h - 32 = 0. Let v(u) be the third derivative of -u**4/24 + 2*u**3/3 + 5718*u**2. Give v(s). 10 Let i(n) = n**3 + 5*n**2 + 3*n + 6. Let t be (5 - 4)*(-15)/3. Let c be i(t). Let v = 4 + c. Let j(q) = -q - 5. Determine j(v). 0 Let h(u) = u**2 - 5*u + 1. Let s = 722 + -416. Suppose -s + 114 = 8*q. Let a be (3 - 0)*(-32)/q. Determine h(a). -3 Let n(g) = -g**3 + 6*g**2 - 3*g - 6. Let t be n(5). Let z = -116 - -118. Let d(v) = -t*v - v**z + 72 + 2*v - v - 70. Give d(-3). 2 Let v(p) = p**2 + 10*p - 3. Let a be 4*1 - (10 + -257 + -13). Let o be a/8*3/18*-2. What is v(o)? 8 Let c(w) be the third derivative of -21*w + w**2 + 0 + 4/3*w**3 + 1/3*w**4. What is c(-6)? -40 Let k(a) = 96*a**2 + 23*a - 9. Let s(z) = -52*z**2 - 13*z + 5. Let j(f) = -4*k(f) - 7*s(f). Determine j(1). -20 Let x(s) = -6*s - 2*s - 2*s + 0*s + 152 + 4*s. Let i be x(25). Let f(n) = -n**2 - 1. Determine f(i). -5 Suppose 44*w - 30 = 14*w. Let u(p) = 34*p**2 + p. What is u(w)? 35 Suppose 5*z - 4*z + 4 = 0. Let i(h) = -h**2 - 4*h - 3. Let l be i(z). Let k(o) be the third derivative of o**4/24 + o**3/6 + 8754*o**2. Give k(l). -2 Let v(m) = m**3 + 15*m**2 - 17*m - 23. Let h(s) be the second derivative of -35*s**3/6 - 261*s**2/2 + 153*s - 1. Let o be h(-7). Determine v(o). -7 Let q be (188/(-141))/((-2)/18*-2). Let c be (-4)/(-10)*q/((-48)/20). Let j(y) = -5*y + 1. Determine j(c). -4 Suppose 5*s - 4 = -1206*c + 1208*c, -3*c = -2*s - 5. Let d(h) be the second derivative of -12*h + 1/2*h**2 - 1/3*h**c + 0. Determine d(-2). 5 Suppose -u - 3*c + 2 = 0, 0*u - 2*c = -4*u + 22. Let p(b) be the third derivative of -b**3 + 0 - 1/12*b**4 - 5*b**2 + 0*b. Determine p(u). -16 Let w(h) = 858 + 7*h - 881 - 14*h + 10*h. Give w(-6). -41 Let x(c) = -c**3 + 10*c + 2. Suppose -496 = 82*b + 111*b + 276. Calculate x(b). 26 Let b(m) be the first derivative of -m**3/3 - m**2 + 39*m + 1045. Calculate b(0). 39 Let f(r) = -r - 812 + 2*r**2 + 812. Let w = 9560 - 9558. Calculate f(w). 6 Let t(m) = -11*m**2 - 3*m + 6*m + 3*m - m. Let o(b) = 16*b**2 - 7*b. Let r(q) = 5*o(q) + 7*t(q). Suppose 5*w + 10 = -i, 3*w + 3*i = 13 - 31. Calculate r(w). 3 Let r(m) = -m**3 + 2*m**2 + m + 4. Let d(w) = 3*w + 3. Let n be d(8). Let g = -21 + n. Suppose -18*x + 16*x = -g. Determine r(x). -2 Let r(x) = -276*x - 27 + 543*x - 288*x. Let d(k) = -18*k - 28. Let y(j) = -6*d(j) + 5*r(j). Determine y(-9). 6 Let n(v) = 0*v + 4*v - 9 - 3*v + v. Let l = 70 - 66. Let t(c) = 3*c**2 - 9*c - 2. Let k be t(l). Determine n(k). 11 Let t(z) = z**2 + 2. Let j(y) = 3*y**2 + 31*y - 118. Let g(b) = -j(b) + 4*t(b). Calculate g(26). -4 Let u(l) = 2*l - 5. Let c(y) = -y**2 + 17*y + 177. Let x(n) = c(n) - 6*u(n). What is x(17)? 3 Let b(s) = 0*s - 6*s - 21 - 8*s - 7265*s**2 + 7266*s**2. What is b(16)? 11 Let x(p) = 11*p**3 - 17*p**2 + 7*p + 2. Let o(r) = 13*r**3 - 19*r**2 + 6*r + 1. Let i(n) = -5*o(n) + 6*x(n). What is i(4)? 7 Let a be ((-12)/(-24) - 0)*(-3 - -19). Let o(k) = -3*k**2 + 20*k - 11. Calculate o(a). -43 Let x be 21*((-791)/49 + 16). Let c(v) = 2*v + 5. Let d(b) = -3*b - 7. Let k(f) = -f**2 - 6*f. Let u be k(-5). Let i(a) = u*d(a) + 8*c(a). Give i(x). 2 Let f(g) = 33 + g - 66 + 35. Let d(s) = s + 4. Let t(m) = -3*d(m) + 6*f(m). Suppose -4*y = -y + 3*h + 21, -y - 27 = 5*h. Determine t(y). -6 Let s(y) = -20*y**2 + 7*y - 3. Let m be s(1). Let i(n) = n**2 + 2*n - 225. Let l be i(m). Let t(h) = -3*h**3 - h**2. Determine t(l). 2 Let g(t) = 12*t + 33. Suppose w - 5 = -5*h, -824*h - 3*w + 15 = -822*h. Calculate g(h). 33 Suppose -18 = 4*k - 13*k. Suppose 14*d + k*d = -17*d. Let b(c) be the first derivative of c**4/4 + c**3/3 - 4*c - 2. Calculate b(d). -4 Let u(x) be the third derivative of x**5/60 - 2*x**3/3 + 2*x**2 - 165. Let m(t) = -t**3 - 7*t**2 - 5*t + 11. Let h be m(-6). Calculate u(h). 21 Let s(x) be the first derivative of -11*x**2/2 + 71*x + 2407. Give s(11). -50 Let j be (-1)/(-5) + 170/25. Suppose -4*t - 4*d + j*d + 110 = 0, 10 = 5*d. Let u(a) = 30*a - 7 + 5 - t*a. Calculate u(-7). -9 Let a(w) = -8*w**2 + 13*w - 6. Let j(n) = 10*n**2 - 14*n + 5. Suppose h = -t, 4*h = -8*t + 3*t + 4. Let l(g) = t*a(g) + 3*j(g). Calculate l(6). -21 Suppose c = 3*h - 83 + 1, 2*c - 211 = -9*h. Let p(y) = -2*y**2 + 51*y - 42. What is p(h)? -17 Let l(a) = -4 - 2 + 143*a - 245*a + 122*a. Determine l(-2). -46 Let l be (-1 - -20)/(1/5*5). Let h be (l/57)/(1/(-21)). Let z(i) = -i**3 - 7*i**2 + 0*i + 10 + 2*i - i. Give z(h). 3 Suppose -17380*z - 140 = -17390*z. Let s(w) = 2*w**2 - 15*w - 33. Give s(z). 149 Suppose 0 = 3*q + m - 36, 5*q - m - 9 - 43 = 0. Suppose -q*s - 100 = -23. Let o(g) = g + 12. Give o(s). 5 Let u(z) be the third derivative of -z**5/20 + z**3/2 + z**2. Let v(t) = -t**2 - t. Let c = -1026 + 1025. Let r(n) = c*u(n) + 4*v(n). What is r(-2)? 1 Let t = 24 - 21. Suppose 17 = 2*n - t. Suppose 2*s - 5*v = -n*v + 9, -5*v + 15 = 0. Let k(u) = -u**2 - 4*u. Determine k(s). 3 Suppose -2*p + 11 = -5*u + 13, 0 = -2*p + 2*u + 4. Let k(j) = j**2 + 3*j - 5. Give k(p). 23 Let w(r) = r**2 + 5*r + 5. Let n be (-7)/(-4)*(-92)/(-23). Suppose -2*s + 2 = 0, 4*s = -2*d + s - n. Calculate w(d). 5 Suppose w = -5*q + 12, 0 = 36*q - 31*q - 5*w. Let u(x) = 20*x - 48. Determine u(q). -8 Suppose 419 = -4*x - h, -4*x + 2*x - 2*h = 214. Suppose -633 - 809 = 14*q. Let g = x - q. Let b(p) = -3*p**2 + p + 1. Give b(g). -3 Let d(m) = m**3 - 4*m**2 + 5*m - 26. Suppose 3*u - 27 = -3*p, -71*u + 69*u = -8*p + 32. Determine d(u). -6 Let b be ((-38)/2 - 2)/(7/1 + -6). Let o(c) = -5*c - 8. What is o(b)? 97 Let p(v) = 4*v**2 - 48*v + 33. Let z be p(11). Let m(d) = 13*d + 2*d**2 - 8 + 7*d + 3*d + 22. Give m(z). 3 Let r(v) = 2*v**2 + 7*v + 5. Suppose 2*b = -30 + 44. Suppose -9*p + 8*p = -s - b, -5 = -s - 5*p. Determine r(s). 20 Let d(u) = -2*u**3 - 17*u**2 - 16*u - 23. Let t be d(-8). Let a = t + -49. Let y(x) = x**3 + 7*x**2 - 11*x - 5. Determine y(a). 19 Let l(p) = -5*p**2 - 4*p - 3. Let c be 3 - ((-20)/5 - -8 - 43). Let z(y) = -42*y + 2. Let r be z(-1). Let d = c - r. Give l(d). -15 Let g(r) be the third derivative of r**4/8 - 25*r**3/6 + 3*r**2 - 737*r + 1. Calculate g(10). 5 Suppose 0 + 6 = 3*q. Let j(d) = 3 + 0*d + 2*d**2 + d**3 + 4*d - d**3 + q*d**3. Suppose 8*v - 4*v = 2*a + 2, 0 = -4*v - 5*a - 33. Give j(v). -13 Let c(u) = -u**3 - 2*u**2 + 11*u - 6. Let s be c(-5). Suppose
{ "pile_set_name": "DM Mathematics" }
is the units digit of 22315? 5 What is the hundreds digit of 23173? 1 What is the hundreds digit of 3330? 3 What is the tens digit of 131288? 8 What is the tens digit of 42678? 7 What is the units digit of 26246? 6 What is the units digit of 504? 4 What is the tens digit of 982? 8 What is the thousands digit of 1383? 1 What is the ten thousands digit of 46019? 4 What is the tens digit of 2427? 2 What is the units digit of 15647? 7 What is the hundreds digit of 505? 5 What is the thousands digit of 65110? 5 What is the units digit of 206? 6 What is the hundreds digit of 1154? 1 What is the hundreds digit of 209? 2 What is the units digit of 25? 5 What is the hundreds digit of 33849? 8 What is the thousands digit of 1662? 1 What is the tens digit of 6942? 4 What is the units digit of 145029? 9 What is the hundreds digit of 8847? 8 What is the hundreds digit of 4233? 2 What is the hundreds digit of 18679? 6 What is the hundreds digit of 90312? 3 What is the units digit of 59? 9 What is the ten thousands digit of 17117? 1 What is the thousands digit of 10250? 0 What is the thousands digit of 83935? 3 What is the units digit of 8? 8 What is the thousands digit of 4564? 4 What is the units digit of 27944? 4 What is the tens digit of 5192? 9 What is the units digit of 1424? 4 What is the units digit of 53162? 2 What is the tens digit of 3354? 5 What is the thousands digit of 24262? 4 What is the hundreds digit of 1177? 1 What is the thousands digit of 2013? 2 What is the tens digit of 215? 1 What is the thousands digit of 6347? 6 What is the tens digit of 1543? 4 What is the units digit of 70714? 4 What is the hundreds digit of 110078? 0 What is the thousands digit of 45240? 5 What is the thousands digit of 8911? 8 What is the units digit of 316? 6 What is the hundreds digit of 5606? 6 What is the units digit of 865? 5 What is the units digit of 5116? 6 What is the units digit of 102134? 4 What is the units digit of 12876? 6 What is the hundreds digit of 690? 6 What is the ten thousands digit of 109702? 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6 What is the hundreds digit of 36525? 5 What is the hundreds digit of 54859? 8 What is the units digit of 872? 2 What is the hundreds digit of 1025? 0 What is the thousands digit of 166672? 6 What is the units digit of 6? 6 What is the thousands digit of 1001? 1 What is the tens digit of 69670? 7 What is the hundred thousands digit of 128285? 1 What is the tens digit of 851? 5 What is the tens digit of 2459? 5 What is the tens digit of 953? 5 What is the thousands digit of 37590? 7 What is the units digit of 241? 1 What is the thousands digit of 85282? 5 What is the hundreds digit of 51842? 8 What is the hundreds digit of 257? 2 What is the units digit of 3272? 2 What is the tens digit of 1972? 7 What is the units digit of 750? 0 What is the units digit of 4004? 4 What is the units digit of 2444? 4 What is the thousands digit of 2658? 2 What is the hundreds digit of 1449? 4 What is the tens digit of 77505? 0 What is the units digit of 1477? 7 What is the tens digit of 2242? 4 What is the units digit of 11220? 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3 What is the tens digit of 12423? 2 What is the units digit of 53388? 8 What is the te
{ "pile_set_name": "DM Mathematics" }
vative of g(b) wrt b. -18 Let s(v) be the second derivative of 0 + 0*v**3 + 1/4*v**4 - 8*v**2 + 31*v. Find the first derivative of s(w) wrt w. 6*w Find the third derivative of 15*v + 105*v**3 + 102*v**3 + 197*v**3 - 5*v**2 + 519*v**3 wrt v. 5538 Suppose 2*a + 4 = 12. What is the third derivative of -19*t**3 + 4*t**2 + a*t**2 + 15*t**3 wrt t? -24 Let v be (-2*(2 + -3))/(20/230). What is the second derivative of -18*x - 6 - v*x**2 + 14*x + 9 wrt x? -46 Let i(v) be the first derivative of 0*v**6 + 11/7*v**7 - 25/3*v**3 + 0*v**5 + 0*v**4 + 0*v + 0*v**2 + 11. Find the third derivative of i(c) wrt c. 1320*c**3 Let v(q) be the second derivative of -11*q**7/105 - 7*q**3/6 - 3*q**2/2 - 12*q. Let k(u) be the first derivative of v(u). Differentiate k(g) with respect to g. -88*g**3 Suppose -47*g = -46*g - 3. What is the third derivative of 47*a**4 - 32*a**4 - 31*a**4 - g*a**2 wrt a? -384*a Let g(j) = j - 1. Let k(r) = -27*r**2 + 41*r - 4. Let p be (4 - 5) + 5 + 0. Let u(t) = p*g(t) - k(t). What is the second derivative of u(i) wrt i? 54 What is the second derivative of -42*x**5 + 4*x**4 - 4*x**4 + 704*x - 801*x wrt x? -840*x**3 Let b(j) be the second derivative of 0*j**4 + 0*j**2 - 16*j - 11/6*j**3 + 0*j**5 + 1/2*j**6 + 0. What is the second derivative of b(s) wrt s? 180*s**2 Let l(z) = -502*z**2 - 114*z - 5. Let j(p) = 509*p**2 + 113*p + 6. Let h(m) = 5*j(m) + 6*l(m). Find the second derivative of h(a) wrt a. -934 Let z be ((-12)/8)/((15/5)/(-12)). Find the third derivative of -205*c**2 - 12*c**6 + 209*c**2 - 15*c**z wrt c. -3240*c**3 Let u(m) be the first derivative of 247*m**2/2 + 256*m + 324. What is the first derivative of u(l) wrt l? 247 Let x(b) = 25*b**2 + 15*b. Let u(y) = 49*y**2 + 30*y. Suppose 0 = p - 12 + 1. Let v(r) = p*x(r) - 6*u(r). Find the second derivative of v(k) wrt k. -38 Let l(m) be the third derivative of -313*m**5/60 - 91*m**4/12 + 333*m**2. What is the second derivative of l(u) wrt u? -626 Let u(w) be the first derivative of -9*w**5/40 + 7*w**4/6 + 26*w**3/3 - 2. Let t(r) be the third derivative of u(r). What is the first derivative of t(y) wrt y? -27 Let s(p) be the first derivative of 16 + 0*p**3 + 6/5*p**5 + 0*p**4 + 0*p - 9/2*p**2. What is the second derivative of s(w) wrt w? 72*w**2 Find the third derivative of -s + 264*s**2 + s + 150*s**3 - 266*s**3 + 0*s wrt s. -696 Let r(j) = j**2 + 12*j - 1. Let s be r(-11). Let h be (s - -2)*4/(-8). Find the third derivative of h*l**5 + 6*l**2 - 60 + 60 wrt l. 300*l**2 Let c be 4/14 - (-528)/112. Let j be (-5)/((-100)/12)*c. Differentiate 2 - j - 11*p - 2 with respect to p. -11 Suppose 0*t + 2*t - 2*a = 8, -6 = 2*t + 5*a. Let v = -57 - -61. What is the first derivative of -3*w**v - t*w**4 - 5 + 0 wrt w? -20*w**3 Let n(c) be the first derivative of -104*c**5/5 - 230*c - 50. What is the derivative of n(f) wrt f? -416*f**3 Let m(c) be the second derivative of -c**7/168 + c**5/8 + 2*c**3/3 + 13*c. Let n(h) be the second derivative of m(h). Find the second derivative of n(x) wrt x. -30*x Suppose -2*g + 3*f + 16 = 0, -6*g - 5*f - 22 = -7*g. What is the third derivative of -8*s**6 - 21*s**g - 409*s**5 + 409*s**5 wrt s? -960*s**3 What is the third derivative of 11*i**6 + 1552*i**2 - 2*i**6 - 1543*i**2 wrt i? 1080*i**3 Let q(l) be the first derivative of 10 - 8*l + 0*l**2 - 7/3*l**3. What is the derivative of q(b) wrt b? -14*b What is the first derivative of -4*v**3 - 5*v**3 + 5*v**3 - 2*v**3 - 19*v + 544 wrt v? -18*v**2 - 19 Let s(u) = u**3 - u**2 - u - 1. Let v be s(2). Let w(k) = -1. Let h(d) = 22*d**4 - 6. Let g(z) = v*h(z) + 2*w(z). Differentiate g(c) wrt c. 88*c**3 What is the second derivative of 169*a**2 - 33 + 10 - 75*a + 13 + 13 wrt a? 338 Find the second derivative of 86*u**2 - 35*u**3 + 37*u**3 + 70*u**2 - 937*u + 497*u wrt u. 12*u + 312 Suppose 3*b + 27 + 6 = 3*p, 63 = 5*p - b. What is the second derivative of -5*u**4 + 10*u + 0*u + 7*u**4 + p*u**4 wrt u? 180*u**2 Let n(b) be the first derivative of 247*b**3/3 - b**2/2 + 175*b - 199. Differentiate n(u) with respect to u. 494*u - 1 Let m(y) be the first derivative of -y**4/2 + 89*y**3/3 - 3*y**2/2 - 13*y + 45. Find the second derivative of m(o) wrt o. -12*o + 178 Let z(f) = 5 - 2*f - 6 - 3. Let w be z(-3). What is the third derivative of g**4 + g**2 + w*g**2 - 2*g**5 - g**4 wrt g? -120*g**2 Let h(l) be the third derivative of 17*l**8/168 - l**7/210 - 43*l**4/12 + 38*l**2. What is the second derivative of h(b) wrt b? 680*b**3 - 12*b**2 Let q(r) = -r**3 - 13*r**2 - 9*r + 38. Let t be q(-12). Differentiate 16*f**2 + 2*f**t + f**2 - 49 + 9 wrt f. 38*f Let r(h) = -h**2 + 14*h - 21. Let b be r(11). Find the second derivative of 4*i + b*i**5 - 5*i - 2*i**5 wrt i. 200*i**3 Let a be 2/(0 + 3/(-6)). Let g be (11 - 9/3) + a. What is the third derivative of 15*t**4 - 10*t**g + 3*t**2 - 2*t**2 wrt t? 120*t Find the first derivative of -504*o + 417*o**2 + 504*o + 155 wrt o. 834*o Let y(a) be the second derivative of 37*a**7/42 + a**3/6 - a**2 - 41*a. What is the second derivative of y(v) wrt v? 740*v**3 Let b(z) be the second derivative of -328*z**7/21 - z**4/4 - 113*z**2/2 - 940*z. What is the third derivative of b(p) wrt p? -39360*p**2 Let m be 48/(3 + 0) - 1. Suppose 5*s + b - m = 0, -2*s + 4*b = -s + 18. Find the third derivative of 4*y**3 - 6*y**s + 4*y**2 - 2*y**2 wrt y. 24 Suppose 13*d - 8*d = 75. What is the second derivative of i + 4*i**2 + 5*i - d*i**2 - i wrt i? -22 Let o(z) = 1225*z**2 + 1095*z - 5. Let n(f) = 610*f**2 + 547*f - 2. Let a(q) = -5*n(q) + 2*o(q). Find the second derivative of a(w) wrt w. -1200 Let n(m) be the third derivative of 29*m**8/168 - 17*m**4/12 - m**3/3 - 60*m**2. What is the second derivative of n(x) wrt x? 1160*x**3 Suppose 39*u = -0 - 0. Let i(c) be the first derivative of -3/5*c**5 + 0*c**4 - 6 + 0*c**3 - c**2 + u*c. What is the second derivative of i(g) wrt g? -36*g**2 What is the third derivative of -1979*g**3 - 106*g**2 + 1634*g**3 + 616*g**2 wrt g? -2070 Let c be 69/(-18) - (-1)/(-6). Let l be 9 - c/12*-6. Find the second derivative of 17*d**4 - 7*d**4 + l*d - 13*d**4 wrt d. -36*d**2 Let y(q) be the second derivative of -89*q**6/30 + 65*q**3/6 - q - 31. Find the second derivative of y(k) wrt k. -1068*k**2 Let n(u) be the second derivative of 0 + 0*u**2 - 22*u + 0*u**5 - 7/4*u**4 + 0*u**3 - 11/21*u**7 + 0*u**6. Find the third derivative of n(g) wrt g. -1320*g**2 Let q(y) = 175*y**4 + 22*y**2 + 11*y - 327. Let r(i) = -58*i**4 - 8*i**2 - 4*i + 109. Let v(m) = 4*q(m) + 11*r(m). Differentiate v(p) wrt p. 248*p**3 Suppose 4*u + 6 = 4*l - 2, -3*l = 5*u - 14. Find the first derivative of -4 - 1 - 9*v + l wrt v. -9 Let q(j) = j**3 + j**2 - 2. Let r(i) = -313*i**3 - 2*i**2 + 321*i + 8. Let s(o) = 4*q(o) + r(o). What is the third derivative of s(a) wrt a? -1854 Find the second derivative of -49*c - 2 - 9*c**5 - 43*c**2 - 10*c**5 + 40*c**5 - 11*c**5 - 13*c**5 wrt c. -60*c**3 - 86 Let y(u) = -u**2 - 7*u + 8. Let p be y(-8). Find the second derivative of p*f**2 - 7*f + 0*f + 4*f**2 + 3*f**2 wrt f. 14 Let q(t) be the second derivative of 8*t**7/21 + t**3/3 - 53*t**2/2 + 70*t. Find the second derivative of q(p) wrt p. 320*p**3 Let x = 42 - 25. What is the second derivative of 0*w**4 - 2*w**4 - 3*w**4 - x*w**4 + 4*w wrt w? -264*w**2 Let u(v) = -40*v**4 - 6*v**3 + 5*v + 4. Let q = 52 + -58. Let x(z) = z**3 - z + 1. Let c(y) = q*x(y) - u(y). Find the second derivative of c(n) wrt n. 480*n**2 Let n be (-4*1)/(2/2). Let w(t) = -16*t**3 + 9*t**2. Let k(y) = -31*y**3 + 19*y**2. Let h(o) = n*k(o) + 7*w(o). What is the third derivative of h(i) wrt i? 72 Let g be (-1)/(-4) + (-66)/(-24). Suppose 4*q = g*q. What is the derivative of q*c + 0*c + 4 - c**3 + 5*c**3 wrt c? 12*c**2 Let t(y) = -164*y + 153. Let r(g) = 163*g - 150. Let s(i) = -6*r(i) - 7*t(i). Differentiate s(f) wrt f. 170 Let z(x) = -4 + 1 - x + 0. Let n(d) be the third derivative of d**3/6 - 13*d**2. Let r(l) = -7*n(l) - 3*z(l). Differentiate r(t) with respect to t. 3 Let a = -11 + 15. Suppose -4 = -4*t - 4*g, t + a*t = 5*g + 15. What is the third derivative of 3*c**5 - t*c**2 + 2*c**2 - 3*c**2 wrt c? 180*c**2 Let t(f) be the first derivative of -f**8/210 - f**6/180 + 8*f**3/3 - 17. Let i(q) be the third derivative of t(q). What is the third derivative of i(k) wrt k
{ "pile_set_name": "DM Mathematics" }
+ 62*l**2 - 128*l + 475. Let c be r(60). Let d(m) = -7*m**3 - 6*m**2 + 4*m + 5. Let k(n) = -n**3 - n**2 + n + 1. Calculate c*k(p) + d(p). -2*p**3 - p**2 - p Let b(x) = -x**3 - x - 3. Let k(j) = -56*j**3 + 2*j**2 - 4*j - 12. Determine -4*b(u) + k(u). -52*u**3 + 2*u**2 Let d(t) = -3*t**3 + 3*t**2 + t - 3. Let n(g) = g**3 - g**2 - g. Determine -2*d(k) - 4*n(k). 2*k**3 - 2*k**2 + 2*k + 6 Let y(c) = c**2 - c. Let w(z) = 1. Give -w(h) + 6*y(h). 6*h**2 - 6*h - 1 Let i(k) = k - 2. Let g(j) = -865*j - 7. Calculate g(m) - 4*i(m). -869*m + 1 Let j(d) be the first derivative of d - 323. Let x(i) = -i + 6. Let o(m) = 5*m - 31. Let b(h) = 2*o(h) + 11*x(h). Give -b(p) + 3*j(p). p - 1 Let i(u) be the third derivative of 4*u**5/5 - 11*u**3/2 - 2*u**2 - 10. Let w(n) = 3*n**2 - 2. What is 2*i(t) - 33*w(t)? -3*t**2 Let o(s) be the second derivative of s**4/12 + s**2/2 + 71*s. Let n(i) = -8*i**2 - 16. What is -n(h) - 16*o(h)? -8*h**2 Let g(l) = -4*l**2 - 2*l + 56. Let t(b) = 17*b**2 + 9*b - 223. Give -9*g(s) - 2*t(s). 2*s**2 - 58 Let n(v) = -v + 1. Let f = -2 - 0. Let r(i) = 24*i - 13. Let b(o) = -12*o + 7. Let l(z) = -7*b(z) - 3*r(z). Calculate f*l(y) - 20*n(y). -4*y Let u(o) = o + 8. Let h(w) = -7. Let t(i) = 32*i**2 - 62*i + 2. Let a be t(2). Give a*h(n) + 5*u(n). 5*n - 2 Let l(s) = s**3 + 2*s + 4. Suppose -32 = 8*u - 0*u. Let r(o) = o**3 + 4*o**2 - 5. Let z be r(u). Let p(j) = 2*j**3 - j**2 + 5*j + 9. Give z*l(b) + 2*p(b). -b**3 - 2*b**2 - 2 Let h(i) = 1. Let l be (-8)/60 + (-253)/15. Let p(c) = c + 18. Let m be p(l). Let k(x) = 2*x**2 + 2*x + 4. Calculate m*k(y) - 4*h(y). 2*y**2 + 2*y Let a(g) = 7*g**2 - 5*g - 5. Let u be -2 - (0 + 0)*1. Let f be (-1 - -2)/(1/(-5)). Let v(s) = -10380 + 43*s**2 + 2*s - 46*s**2 + 10382. What is f*v(i) + u*a(i)? i**2 Let v(p) = 3*p**2 - 14*p + 5. Let u(i) be the second derivative of -i**4/12 + 5*i**3/6 - i**2 - 322*i. Determine 11*u(x) + 4*v(x). x**2 - x - 2 Let u(v) = 32*v. Let x(k) be the second derivative of -13*k**3/6 - 43*k + 1. Give -5*u(l) - 12*x(l). -4*l Let y = -1582 + 1578. Let m(i) = -5*i**3 - 3*i + 2. Let h(u) = 5*u**3 + 4*u - 2. Give y*m(b) - 3*h(b). 5*b**3 - 2 Let i(h) = 143 - 147 + 2*h + 3*h. Let a be 2*(-6)/4*1. Let s(v) = -14*v + 11. What is a*s(g) - 8*i(g)? 2*g - 1 Let i = -194 + 192. Let u(p) = -p - 1. Let m(f) = -5*f - 6. What is i*m(z) + 11*u(z)? -z + 1 Let r(m) = 20*m - 4. Let s(v) = 9*v - 2. Give -4*r(t) + 9*s(t). t - 2 Let z = -485 - -480. Let n(m) = -3*m**3 - m**2 + 4*m + 5. Let d(k) = -k**3 + 2*k + 2. Give z*d(i) + 2*n(i). -i**3 - 2*i**2 - 2*i Suppose 12 = 9*j - 7*j + 2*l, 3*l + 6 = 3*j. Let i(s) = 2*s**3 + 5*s**2 + 7. Let n(d) = 2*d**3 + 6*d**2 + 8. What is j*n(k) - 5*i(k)? -2*k**3 - k**2 - 3 Let i(s) = -3*s - 2 - 1 + 5. Let v = 1 - -3. Let r(f) be the third derivative of f**4/24 - f**3/6 - 182*f**2. Determine v*r(z) + 2*i(z). -2*z Let s(x) = -19*x - 17. Let r be 0 + (-6 + 31/3)*3. Let u(w) = 9*w + 8. Calculate r*u(t) + 6*s(t). 3*t + 2 Let t(q) = -42*q**2 + 7*q - 7. Let d(n) = 40*n**2 - 8*n + 9. Determine 3*d(o) + 4*t(o). -48*o**2 + 4*o - 1 Let a(z) = -54*z + 12. Let p(b) = -53*b + 15. What is -3*a(i) + 2*p(i)? 56*i - 6 Let t(u) = -343*u + 6. Let n(x) = -5831*x + 105. What is 6*n(s) - 105*t(s)? 1029*s Let a be 121/(-242)*1/(1/(-6)). Let q(u) = u. Let g(m) = m. Calculate a*q(l) - g(l). 2*l Let l(k) = 11*k + 7*k**2 - 31*k**3 - k**2 + 5*k**2. Let d(s) = -6*s**3 + 2*s**2 + 2*s. Let z = -1438 - -1440. What is z*l(c) - 11*d(c)? 4*c**3 Let g(x) = x**2 - x - 1. Let c(o) = -9*o**2 - 22*o - 2. Let s(i) = -7*i**2 - 19*i - 2. Let v(n) = -6*c(n) + 7*s(n). Give -3*g(z) + v(z). 2*z**2 + 2*z + 1 Let c(b) = -b**3 + 6*b**2 - b - 6. Let r(d) be the first derivative of -5*d**3/3 + d**2/2 + 5*d + 168. Give -5*c(n) - 6*r(n). 5*n**3 - n Let g(z) = 76*z**3 - 5*z**2 + 5*z - 5. Let u(o) = -1140*o**3 + 76*o**2 - 76*o + 76. What is 76*g(m) + 5*u(m)? 76*m**3 Let g be (-6)/(-8) + 1/4. Let q(n) = 2*n**2 - n - 1. Let w(x) = -2*x + x - x**2 - 1 + 3 - 3. What is g*w(h) - q(h)? -3*h**2 Let c(k) = 2 - 2 + k + 0*k. Let o(i) = -2*i**3 - 8*i**2 - i - 5. Let y be o(-4). Let v(w) = -10*w + w**2 + 7*w + 1 + w. Calculate y*c(x) - v(x). -x**2 + x - 1 Let h(x) be the second derivative of x**5/60 - x**4/4 + 5*x**3/2 + 16*x. Let t(o) be the second derivative of h(o). Let y(j) = -1. Give t(b) - 6*y(b). 2*b Let h(z) = -5*z**3 + 2*z**2 - 6. Suppose 0 = -2*v - v + 18. Let d(f) be the first derivative of 3*f**4/2 - 2*f**3/3 + 7*f + 4. Give v*d(w) + 7*h(w). w**3 + 2*w**2 Let k(z) = -5*z**3 - 63*z**2 - 3*z - 3. Let r(n) = -6*n**3 - 62*n**2 - 4*n - 4. Determine -4*k(q) + 3*r(q). 2*q**3 + 66*q**2 Let s(m) = -15*m - 2. Suppose 0 = -4*d + 2*d - 5*j + 35, -4*d = -4*j. Let l(k) = -23*k - 3. Give d*l(z) - 8*s(z). 5*z + 1 Let x be (-18)/(-14) + 16/(-56). Let c be (-4 + 49/14)*(-2)/x. Let d(h) = -h**3 - h - 1. Let k(w) = 6*w**3 + 9*w + 9. Calculate c*k(q) + 9*d(q). -3*q**3 Let k = 24 - 21. Let o(c) = 2*c**3 + 4*c**2 + 4*c - 4. Let d(l) = 2*l**3 + 3*l**2 + 3*l - 3. Give k*o(a) - 4*d(a). -2*a**3 Let j be 1/(-4) - 21/(-4). Let c(l) = l - 1. Let x(b) be the second derivative of b**5/20 + 5*b**3/6 - 3*b**2/2 + 2*b - 2. Calculate j*c(f) - x(f). -f**3 - 2 Let d(w) = -11. Let k(v) = -30. Let r(j) = -11*d(j) + 4*k(j). Let f(b) = -4*b + 4. Determine -f(g) + 4*r(g). 4*g Let g be (-60)/(-16) + (-12)/16. Suppose n + 4*h + 23 = -2*n, 13 = -g*n - 2*h. Let d(y) = y**2 + y. Let l(w) = -4. Give n*d(s) - l(s). -s**2 - s + 4 Let a(l) = -3*l - 3. Let p = -814/3 + 272. Let y(k) be the second derivative of -p*k**3 + 0 - 2*k**2 + 6*k. Determine -6*a(x) + 4*y(x). 2*x + 2 Let m(q) = 46*q**3 - 16*q**2 + 7*q + 11. Let c(a) = 15*a**3 - 5*a**2 + 2*a + 3. Give -7*c(l) + 2*m(l). -13*l**3 + 3*l**2 + 1 Let h(x) = -3*x + 5. Let y(v) = -2*v + 2. Calculate -6*h(w) + 10*y(w). -2*w - 10 Let f(l) be the second derivative of -3*l**4/4 + 3*l**3/2 + 7*l**2/2 - l + 152. Let q(u) = -2 + 5*u**2 + 0*u - 5*u - 2. What is 4*f(w) + 7*q(w)? -w**2 + w Let k(t) = -2*t**3 + 3*t + 1. Let r be 4 + 1/(-3 - -2). Suppose -r*q + 5 = 20, -4*v = -3*q - 27. Let w(l) = -4*l**3 + 5*l + 2. What is v*w(y) - 5*k(y)? -2*y**3 + 1 Let m(k) = 14*k - 39. Let r(g) = 2*g + 1. Calculate m(w) - 6*r(w). 2*w - 45 Let v(k) = 423*k - 5. Let q(j) = -425*j + 8. What is 2*q(c) + 3*v(c)? 419*c + 1 Suppose 2*g - 7 = -3*x, -4*x - g + 6 = -10. Suppose 0 = -x*t + 16 + 4. Let k(b) = 4*b**2 - 7*b - 2. Let r(v) = 2*v**2 - 4*v - 1. Determine t*k(j) - 7*r(j). 2*j**2 - 1 Let l(p) be the first derivative of 7*p**2/2 - 2*p - 57. Let f(s) = -4*s - s + 1 + s - 2*s. Determine 6*f(u) + 5*l(u). -u - 4 Let t(c) = -63 + 2*c**3 + 14 - 5*c**2 - 9*c + 51 + 4*c. Let w(o) be the first derivative of 3*o**4/4 - 8*o**3/3 - 4*o**2 + 3*o - 1. Determine 8*t(f) - 5*w(f). f**3 + 1 Let k(i) = -277*i**3 - 2*i**2. Let n(r) = -138*r**3 - r**2. Give 3*k(t) - 7*n(t). 135*t**3 + t**2 Let g = -15 - -23. Suppose 5*i + 2 = -g. Let u(v) = -2*v - 2. Let q be (3 - -5) + -6 + 5 + -6. Let o(n) = n - 1. What is i*o(x) + q*u(x)? -4*x Let g(w) = -8*w**3 + 2*w**2 + w + 6. Let s(j) = -7*j**3 + j**2 + 3*j + 4. Let a(x) = -2*g(x) + 3*s(x). Let q(b) = -2*b**3 + 3*b. What is -3*a(y) + 7*q(y)? y**3 + 3*y**2 Let k(p) = -p. Let t(l) = l**2 + 15*l - 8. Let a(q) = -3*k(q) - t(q). Let s(o) = 4*o - 3. Give -3*a(r) - 8*s(r). 3*r**2 + 4*r Let k(o) = -7*o**3 + o**2 - o + 5. Let r(x) = -4*x**3 + x**2 - x + 3. Let w = 388 - 385. What is w*k(y) - 5*r(y)? -y**3 - 2*y**2 + 2*y Let q(h) = 19*h + 110. Let o(c) = 9*c + 55. Calculate -13*o(b) + 6*q(b). -3*b - 55 Let y(x) = -3. Let d(z) = z - 3. Suppose 4*q + 37 - 30 = -f, -3*q = -f. What is f*d(l) + 4*y(l)? -3*l - 3 Let h(o) = 25*o + 79. Let z be h(-3). Let b(i) = -5*i**3 + 7*i - 4. Let w(p) = 14*p**3 - 21*p + 11. Determine z*w(v) + 11*b(v). v**3 - 7*v Let g(i) = 4*i**2 + 13*i - 9*i**2 + 8*i**2 + 0*i**2 - 9*i**3. Let s(p) = -5*p**3 + 2*p**2 + 6*p. Determine 3*g(k) - 5*s(k). -2*k**3 - k**2 + 9*k Let r(c) = -46*c**2 - c + 6. Let g(l) = 93*l**2 + 2*l - 13. What is 6*g(i) + 13*r(i)? -40*i**2 - i Let u = 13 + -12. Let n(m) = m + 2*m + u - 2 + 0. Let v = -15 - -22. Let z(i) = 10*i - 3. Determine v*n(f) - 2*z(f). f - 1 Let h(i) = 48*i + 3. Let r(b) = 47*b + 2. Determine -5*h(t) + 6*r(t). 42*t - 3 Let i(n) = 38 - 6 - 3*n**2 + 13*n - 19 - 4*n**2. Let o(l) = -l**2 - l - 2*l*
{ "pile_set_name": "DM Mathematics" }
+ 26 Let p(j) = -j**2 - j**2 + j**2. Suppose -8*m = -m - 91. Let y(u) = -m*u + 3 + 4*u - 3. Calculate y(p(b)). 9*b**2 Let p(c) = c - 1. Let y(f) = 1. Let b(d) = d + 11. Let o be b(-13). Let g(q) = o*y(q) - 2*p(q). Let j(t) = 5*t**2 + 7*t**2 - 4*t**2. Determine j(g(i)). 32*i**2 Let a(r) = 26*r. Let f(l) be the second derivative of -2*l**3/3 - 89*l. Determine f(a(z)). -104*z Let m(f) = -9*f**2. Let v(u) = -558*u + 1115*u - 556*u. What is m(v(i))? -9*i**2 Let r(n) = -3*n**2. Let w(z) = -z**2 + 3*z - 3. Let a(m) = 26*m + m**2 - 3*m**2 - 2*m**2 - 14 - 12*m. Let l(i) = 3*a(i) - 14*w(i). What is l(r(k))? 18*k**4 Let t(n) = 1649694*n**2. Let i(f) = f. Calculate t(i(q)). 1649694*q**2 Let q(u) = 5*u + 373818. Let m(o) = o. What is q(m(d))? 5*d + 373818 Let f(l) = 6*l - 8. Let a(g) = 32*g - 44. Let w(x) = 6*a(x) - 33*f(x). Let q(s) = -71*s**2. Determine q(w(y)). -2556*y**2 Let f(x) = 5*x**2. Let c be (7 - (-125)/(-20))*4. Let g = -5 + 8. Let a(y) = -c*y + y + g*y. What is a(f(m))? 5*m**2 Let d(b) = -2*b**2. Let r(x) = 43840*x**2. Calculate r(d(n)). 175360*n**4 Let b(t) = 89405*t. Let z(k) = -3*k**2. What is b(z(r))? -268215*r**2 Let b(c) = 4*c - 27. Let l(w) = w - 1004. Give b(l(y)). 4*y - 4043 Let s(d) = -21103*d. Let a(z) = -2*z. Give a(s(y)). 42206*y Let n(z) = 0*z - 1785*z**2 + 1787*z**2 + 2*z - 2*z. Let o(i) = 17*i**2. Let k(d) = 120*d**2. Let t(l) = -3*k(l) + 20*o(l). Calculate t(n(q)). -80*q**4 Let a(z) = -z - 3. Let f(m) = -4*m - 10. Let y(p) = -10*a(p) + 3*f(p). Let s(c) = 1. Let t(g) = -12*g**2 - 4. Let x(r) = -4*s(r) - t(r). Give y(x(i)). -24*i**2 Let x(u) = 10*u + 1. Let m(b) = 7*b + 1. Let h(d) = 4*m(d) - 3*x(d). Let p(f) = -5*f**2. Give p(h(z)). -20*z**2 + 20*z - 5 Let z(o) = -o**2. Let x(q) = 73*q**2 + 6. Let j(m) = 732*m**2 + 61. Let h(r) = -6*j(r) + 61*x(r). Give z(h(u)). -3721*u**4 Let h be (16/40)/((-1)/(-10)). Suppose -5*z + 58 = h*n + 3, -33 = -3*n - z. Let t(x) = n*x + 0 - 11*x + 0. Let a(q) = -6*q**2. Determine t(a(o)). 6*o**2 Let q(g) = 11*g - 4. Suppose 5*m = 18 + 2. Let x(a) = 63*a - 46 + 112*a - 17. Let z(d) = m*x(d) - 63*q(d). Let w(o) = o. Calculate w(z(l)). 7*l Let l(x) = -177*x**2. Let c(p) be the first derivative of p**2/2 + 92. What is c(l(g))? -177*g**2 Let l(s) = 5 + 8 + 19*s - 6*s - 9*s**2. Let a(n) = -4*n**2 + 6*n + 6. Let o(f) = 13*a(f) - 6*l(f). Let p(k) = -25667 + 25667 + 9*k. Determine o(p(u)). 162*u**2 Let q(m) = -86*m**2 + m. Let y(c) = 9582*c. Determine y(q(i)). -824052*i**2 + 9582*i Let o(x) = -567206*x**2. Let r(s) = -s**2. Calculate r(o(j)). -321722646436*j**4 Let c(s) = 7*s**2. Let x(l) = -l + 4. Let b(g) = 13. Let p(j) = 11. Let r(z) = 6*b(z) - 7*p(z). Let w(v) = 4*r(v) - x(v). Give w(c(d)). 7*d**2 Let q(n) = 12*n**2. Let i(y) = 7*y**2 + 6*y. Let w(k) be the third derivative of -k**5/60 - k**4/24 + 22*k**2. Let o(l) = i(l) + 6*w(l). Determine o(q(v)). 144*v**4 Let m(w) = w. Let v(n) = 228*n**2 - 15*n - 217. Determine m(v(d)). 228*d**2 - 15*d - 217 Let v(b) = -8*b. Let m(q) = 146900*q. What is v(m(z))? -1175200*z Let w = -1589 - -1589. Let o(z) be the third derivative of 0*z**3 + 1/3*z**4 + w*z + 0 - 9*z**2. Let a(y) = -2*y. Give a(o(m)). -16*m Let q(r) be the third derivative of -r**4/12 - r**2. Let f(v) be the third derivative of -3*v**4/8 - 2*v**3/3 - 7*v**2 + 174*v. Give f(q(h)). 18*h - 4 Let q(z) = -3*z**2 + 24. Let a(u) = 14*u. Let k(p) = 6*p. Let y(d) = -4*a(d) + 9*k(d). Calculate q(y(j)). -12*j**2 + 24 Let h(x) = 2*x. Let v(f) = 17874*f**2. Give h(v(a)). 35748*a**2 Let x(d) = 3*d - 12. Let t(z) = -2*z + 7. Let f(u) = 12*t(u) + 7*x(u). Let c(k) = 4*k. Let s(g) = 23*g. Let j(p) = -34*c(p) + 6*s(p). Determine j(f(w)). -6*w Let c(f) = -7*f - 2*f + 5*f. Let m(t) be the second derivative of 0 + 0*t**3 + 0*t**2 + 3*t - 1/6*t**4. Give m(c(p)). -32*p**2 Let f(t) = -2264*t. Let m(h) = -43*h. Calculate f(m(u)). 97352*u Suppose 4*m - 25 + 5 = 0. Let r(t) = 4*t**2 - 5*t. Let f(g) = g**2 + g. Let a(n) = m*f(n) + r(n). Let l(u) = -3*u**2. Give l(a(i)). -243*i**4 Let d(q) = -2*q. Let f(t) = 821*t - 80. Determine d(f(p)). -1642*p + 160 Let b(x) = -5*x + 5. Let f(d) = 77*d. Calculate b(f(q)). -385*q + 5 Let g(b) = -32*b + 62*b - 10*b. Let o(u) be the first derivative of 2*u**2 - 9. Determine o(g(v)). 80*v Let i(x) = 31*x**2. Let o(b) = -361*b**2. Determine o(i(j)). -346921*j**4 Let w(s) = -9*s**2 - 4*s**2 - 12*s**2 + 2*s**2 + 22*s**2. Let f(q) = 138*q. What is w(f(y))? -19044*y**2 Suppose 0 = -9*u + 11*u - 2. Let m(n) = 0 - n**2 - 1 + u. Let g(q) = -8*q**2. Calculate m(g(h)). -64*h**4 Let i(t) = 178*t + 378*t + 244*t - 27*t - 133*t. Let g(v) = 2*v**2. What is g(i(p))? 819200*p**2 Let f(d) = -5*d. Let t(x) = 0*x - 7*x - 4*x - 5*x - 10*x. Give f(t(b)). 130*b Let t(y) = -y**2. Let x(v) = 2*v**2 + 2*v + 2. Let f be x(-1). Let j(d) = -d**2 - 10*d + 1. Let u be j(-10). Let p(s) = -f*s - 1 + 3*s + u. What is t(p(a))? -a**2 Let t(z) = -16*z - 12. Let u(j) = 30*j + 22. Let i(l) = 11*t(l) + 6*u(l). Let g(s) = 94*s**2. What is g(i(k))? 1504*k**2 Let f(t) = 4*t + 17. Let a(h) = 758*h**2. What is a(f(c))? 12128*c**2 + 103088*c + 219062 Suppose 5*x = 1 + 9. Let l(z) = -3*z - 4*z + x*z + 2*z. Let g(d) = -7*d**2. Determine l(g(s)). 21*s**2 Let u(p) = -19*p. Let l(o) = 9*o. Let w(n) = -13*l(n) - 6*u(n). Let b(q) = 2*q**2 - 48*q. Determine b(w(h)). 18*h**2 + 144*h Let y(c) = -8*c**2. Let h be (-4 + 0)*(0 - 1). Let i(d) = 5*d - 2*d - h*d. What is y(i(q))? -8*q**2 Let l(t) = 2*t. Let h(n) be the first derivative of 35*n**4/12 + 3*n + 12. Let v(p) be the first derivative of h(p). Give v(l(a)). 140*a**2 Let j = 53 - 51. Let d(l) = -l + 5*l + 0*l - j*l. Let a(i) = 2 + i**2 + 7*i**2 - 2. Determine d(a(g)). 16*g**2 Let c(s) = -145*s + 41*s + 48*s + 51*s. Let z(m) = 17*m. Calculate c(z(p)). -85*p Let a(p) be the third derivative of p**5/30 + p**2 + 25. Let l(t) = -114*t. What is l(a(u))? -228*u**2 Let w(g) = 4*g**2 - 7*g - 14. Let j(v) = -2 - 4*v + 2*v + v**2 - 2 + 0*v**2. Let c(y) = -7*j(y) + 2*w(y). Let t(a) = 9*a**2. Determine t(c(i)). 9*i**4 Let b(h) = 12252*h**2. Let q(u) = -134*u. Give b(q(f)). 219996912*f**2 Let o(w) = w**2. Let u(f) = -20*f**2 + 8*f + 8. Suppose 0 = 2*p + 6. Let v(l) = 7*l**2 - 3*l - 3. Let x(r) = p*u(r) - 8*v(r). Determine o(x(t)). 16*t**4 Let m = 9 - 13. Let n(c) = -3*c**2 + 11*c. Let y(p) be the first derivative of p**3/3 - 2*p**2 + 1. Let s(o) = m*n(o) - 11*y(o). Let u(d) = d. Give s(u(b)). b**2 Let d(t) = 4*t + 6. Let m(r) = -9*r - 13. Let y(f) = 13*d(f) + 6*m(f). Let x(b) be the second derivative of -1/6*b**4 + 0 + 0*b**2 + 0*b**3 + b. Give y(x(k)). 4*k**2 Let s(q) = 2*q. Let c(b) = -112*b + 151. Determine c(s(r)). -224*r + 151 Let p(k) = -15*k**2 - 270308*k + 270308*k. Let o(c) be the third derivative of c**4/24 + 2*c**2. What is p(o(n))? -15*n**2 Let q(h) = 38082*h. Let j(s) = -s**2. Give j(q(b)). -1450238724*b**2 Let a(p) = 11 - 157*p + 5 + 13 - 29. Let h(z) = -2*z. What is h(a(u))? 314*u Let h be (-12)/((-9)/3) + -2. Let o(b) = -4 + h*b + 4. Let v(q) = 16*q + 27. Let a(c) = -8*c - 12. Let l(m) = -9*a(m) - 4*v(m). What is l(o(r))? 16*r Let t(n) = -108*n**2. Let m(g) = 318*g**2. Determine t(m(i)). -10921392*i**4 Let i(u) = 2*u. Let h be (-2 + -2 + 4)/(-3 - -1). Let y(l) be the second derivative of -7*l + 0*l**2 + h + 0*l**3 + 5/3*l**4. Calculate y(i(f)). 80*f**2 Let g(c) = -10*c. Suppose 2 = -3*w + 8. Suppose 4*i = 5*f + 12, -f - w*f = 2*i - 6. Let q(a) = a**2 - i*a**2 + 0*a**2 + 3*a**2. Determine q(g(v)). 100*v**2 Let i(h) = -7*h - 13. Let g be i(-3). Let p(q) = -46*q + g*q - 8*q. Let y(c) = 2*c**2. Calculate p(y(z)). -92*z**2 Let a(n) = -3*n**2 + 4*n**2 + 7*n**2. Let y(o) be the first derivative of 5 + 0*o + 1/2*o**2. Calculate a(y(z)). 8*z**2 Let v(l) = -3*l**2 - 11289*l. Let u(h) = -2*h. What is v(u(y))? -12*y**2 + 22578*y Let w(g) = 4*g**2 - 2*g + 2. Let j(b) = -8*b**2 + 5*b - 5. Suppose p + 16 - 11 = 0. Let y(c) = p*w(c) - 2*j(c). Let i(a) = -12*a. Determine y(i(m)). -576*m**2 Let d(t) be the third derivative of 143*t**5/60 - t**4/24 - 295*t**2. Let v(c) = c**2. Determine d(v(h)). 143*h**4 - h**2 Let o(x) = -205*x - 203*x + 401*x. Let r(b) be the second derivative of -b**5/60 - b**3/3 + 2*b. Let y(g) be the second derivative of r(g). Determine o(y(k)). 14*k Let d(p) = -8*p**2 - 10*p. Let n(b) = b**2
{ "pile_set_name": "DM Mathematics" }
460)/3 Suppose -4*s**4 + 5140*s**3 = 0. What is s? 0, 1285 Suppose -2*j**4 + 84*j**3 + 5998*j**2 - 65280*j + 167200 = 0. What is j? -44, 5, 76 Factor -k**2 - 1400308*k - 490215623716. -(k + 700154)**2 Suppose 16010*l**2 + 32016*l - 8 = 0. Calculate l. -2, 2/8005 Suppose -4*n**5/7 + 132*n**4/7 - 444*n**3/7 - 1564*n**2 = 0. What is n? -7, 0, 17, 23 Factor 2*q**3/5 + 626*q**2/5 + 1244*q/5. 2*q*(q + 2)*(q + 311)/5 Factor 3*f**3/4 - 357*f**2/2 + 23163*f/4 + 5970. 3*(f - 199)*(f - 40)*(f + 1)/4 Find i, given that 15*i**5 + 1805*i**4 + 53585*i**3 - 38345*i**2 - 53600*i + 36540 = 0. -63, -58, -1, 2/3, 1 Factor -3*j**3 - 36*j**2 - 144*j - 192. -3*(j + 4)**3 Suppose -2*y**3 + 726*y**2 - 59428*y - 121776 = 0. What is y? -2, 129, 236 Factor -2*h**2/13 - 1381376*h/13 - 238524956672/13. -2*(h + 345344)**2/13 Determine l, given that 5*l**2/4 + 125*l/2 = 0. -50, 0 Let 4*i**3 - 5076*i**2 + 60480*i - 181008 = 0. What is i? 6, 1257 Solve 2*q**2 - 11566*q - 961860 = 0. -82, 5865 Factor 4*n**2 - 8988*n + 53784. 4*(n - 2241)*(n - 6) Factor -q**2 + 38586*q - 372219849. -(q - 19293)**2 Suppose y**4/2 - 61*y**3/2 - 56*y**2 + 1574*y - 1488 = 0. Calculate y. -8, 1, 6, 62 Let -14*p**4/3 + 598*p**3/3 - 2178*p**2 + 4202*p/3 + 1748/3 = 0. Calculate p. -2/7, 1, 19, 23 Suppose u**4/5 + 34*u**3/5 - 64*u**2 + 672*u/5 = 0. Calculate u. -42, 0, 4 Factor -27889*d**3 + 5801580*d**2 - 138948*d + 832. -(d - 208)*(167*d - 2)**2 Suppose 3*z**4 + 312*z**3 + 6429*z**2 - 7380*z - 13500 = 0. What is z? -75, -30, -1, 2 Find c, given that c**3/3 + 18518*c**2 + 257205760*c + 1543012352/3 = 0. -27776, -2 Solve -2*d**5/3 + 266*d**4/3 - 7820*d**3/3 - 43720*d**2/3 - 72368*d/3 - 36736/3 = 0. -2, -1, 56, 82 Let j**4 + 3365*j**3/3 + 946402*j**2/3 + 1570240*j/3 + 627200/3 = 0. What is j? -560, -1, -2/3 Find k, given that 98*k**5/15 - 2296*k**4/15 + 3736*k**3/5 + 6976*k**2/15 + 1024*k/15 = 0. -2/7, 0, 8, 16 Suppose 8*b**5/13 + 320*b**4/13 + 3738*b**3/13 + 17226*b**2/13 + 30564*b/13 + 18144/13 = 0. Calculate b. -24, -7, -6, -3/2 Let -5*o**4 + 125*o**3 - 780*o**2 - 1280*o + 16640 = 0. Calculate o. -4, 8, 13 What is l in -2*l**4 + 360*l**3 - 1418*l**2 + 1764*l - 704 = 0? 1, 2, 176 Factor -g**2/4 + 8179*g/2 + 16362. -(g - 16362)*(g + 4)/4 Suppose 32*r**5 + 11238*r**4 + 970714*r**3 - 2803314*r**2 + 1445382*r + 375948 = 0. Calculate r. -177, -3/16, 1, 2 Let x**2/5 + 3541*x/5 + 708 = 0. What is x? -3540, -1 Find a such that -20*a**5 + 4688*a**4 + 36448*a**3 + 81152*a**2 + 38848*a - 30976 = 0. -4, -2, 2/5, 242 Determine c, given that 2*c**5 + 64*c**4 - 586*c**3 - 1368*c**2 + 7488*c = 0. -39, -4, 0, 3, 8 Factor 1961958436*p**2 - 177176*p + 4. 4*(22147*p - 1)**2 What is j in -5*j**4 + 280*j**3 + 4035*j**2 + 3170*j - 7480 = 0? -11, -2, 1, 68 What is m in -4*m**4 + 236*m**3 + 2644*m**2 + 7924*m + 5520 = 0? -5, -4, -1, 69 Find b such that 3*b**3/5 - 304338*b**2/5 + 7718468187*b/5 = 0. 0, 50723 Factor 2*w**3/7 - 20*w**2 + 1914*w/7 + 1008. 2*(w - 49)*(w - 24)*(w + 3)/7 Factor -2*m**3/13 + 5618*m**2/13 + 50724*m/13. -2*m*(m - 2818)*(m + 9)/13 Factor 4*s**2 - 117872*s + 868363024. 4*(s - 14734)**2 Find g, given that -9*g**5/4 + 57*g**4/2 - 165*g**3/4 = 0. 0, 5/3, 11 Solve -186*n**5 - 3273*n**4 - 12033*n**3 + 5562*n**2 + 648*n = 0. -12, -6, -3/31, 0, 1/2 Factor 2*u**2 + 206*u - 21840. 2*(u - 65)*(u + 168) Let 2*t**3/3 + 1128*t**2 + 480510*t + 2842596 = 0. What is t? -843, -6 Factor 2*j**2 - 168*j + 2646. 2*(j - 63)*(j - 21) Suppose 8*q**2 + 875700*q - 437852 = 0. What is q? -109463, 1/2 Solve -72*o**4 + 3594*o**3 + 39046*o**2 - 27218*o + 4602 = 0 for o. -39/4, 1/3, 59 Find u, given that 2*u**4/3 + 246*u**3 - 9062*u**2/3 + 10386*u - 10668 = 0. -381, 2, 3, 7 Suppose 35*h**2 + 2340*h + 10825 = 0. Calculate h. -433/7, -5 Factor -30*d**2 - 4258*d + 8636. -2*(d - 2)*(15*d + 2159) Determine l, given that -l**4 + 11814*l**3/5 + 2363*l**2/5 = 0. -1/5, 0, 2363 Suppose -4*j**4 + 668*j**3 + 3424*j**2 + 2752*j = 0. Calculate j. -4, -1, 0, 172 What is p in 5*p**4 + 1745*p**3 + 158025*p**2 + 972135*p - 4386150 = 0? -171, -10, 3 Determine k, given that -2*k**3/7 + 5086*k**2/7 + 10180*k/7 = 0. -2, 0, 2545 Factor 3*a**2/8 + 67341*a/4 + 1511603427/8. 3*(a + 22447)**2/8 Factor 2*m**5 - 264*m**4 - 83032*m**3 + 6055104*m**2 + 1052120192*m. 2*m*(m - 188)**2*(m + 122)**2 Factor -3*o**5 + 78165*o**4 - 509264505*o**3 + 1527324555*o**2 - 1527168240*o + 509030028. -3*(o - 13026)**2*(o - 1)**3 Determine g, given that -4*g**5 - 528*g**4 - 11136*g**3 - 85504*g**2 - 279552*g - 331776 = 0. -108, -12, -4 Determine a, given that -3*a**3 - 1833*a**2/7 + 52608*a/7 + 15180/7 = 0. -110, -2/7, 23 Determine s, given that -s**5 + 914*s**4 - 1820*s**3 - 3650*s**2 + 1821*s + 2736 = 0. -1, 1, 3, 912 Factor -4*w**3 + 2324*w**2 - 338144*w + 335824. -4*(w - 302)*(w - 278)*(w - 1) Let 342*j**4 - 11730*j**3 - 28624*j**2 - 22120*j - 5568 = 0. What is j? -1, -2/3, 696/19 Solve f**2 + 248*f + 9751 = 0. -199, -49 Factor 12712858227*n**3/8 + 705976965*n**2/2 - 260361*n/8 + 3/4. 3*(9*n + 2)*(21699*n - 1)**2/8 Solve -4*p**3 - 2592*p**2 + 5232*p + 20800 = 0 for p. -650, -2, 4 Solve 3*q**4/8 + 135*q**3/8 + 819*q**2/8 - 8967*q/8 - 15435/4 = 0. -35, -14, -3, 7 Find g, given that 8*g**4/3 - 123457*g**3/3 + 15410*g**2/3 + 113173*g - 77160 = 0. -15/8, 1, 15432 Determine u so that -3*u**3 + 5337*u**2 - 2360232*u - 11934960 = 0. -5, 892 Let 3*m**5/8 - 195*m**4/8 - 10845*m**3/8 + 72915*m**2/8 + 52221*m/4 - 20790 = 0. What is m? -40, -2, 1, 7, 99 Suppose 15*g**2 - 32958*g + 6591 = 0. Calculate g. 1/5, 2197 Let -4*f**2 + 836*f + 6944 = 0. What is f? -8, 217 Factor -5*c**3 - 260*c**2 + 5245*c - 13260. -5*(c - 13)*(c - 3)*(c + 68) Let -12*y**4 - 25604*y**3 - 15965820*y**2 - 2348987676*y - 1558903448 = 0. What is y? -961, -211, -2/3 Let 6*y**3/5 + 108314*y**2/5 + 685788*y/5 + 144368 = 0. What is y? -18046, -5, -4/3 Factor -6*w**2/7 + 788982*w/7 + 1577988/7. -6*(w - 131499)*(w + 2)/7 Factor 4*f**3 - 18432*f**2 - 4*f + 18432. 4*(f - 4608)*(f - 1)*(f + 1) Factor 4*d**3 + 352*d**2 + 7500*d + 24624. 4*(d + 4)*(d + 27)*(d + 57) Factor -2*m**2/3 + 260*m/3 + 6000. -2*(m - 180)*(m + 50)/3 Factor -m**2/6 + 109*m/3 + 3145/2. -(m - 255)*(m + 37)/6 Factor -4*n**2/7 + 15760*n/7 - 15756/7. -4*(n - 3939)*(n - 1)/7 Solve -3*q**5 + 72*q**4 + 2202*q**3 + 17892*q**2 + 59145*q + 69300 = 0 for q. -7, -5, -3, 44 Factor -g**2/5 + 567*g/5 - 3724. -(g - 532)*(g - 35)/5 Factor f**2 + 90688*f + 2056078336. (f + 45344)**2 Factor -2*j**2 + 925880*j - 107156721800. -2*(j - 231470)**2 Factor 9*h**2 - 69*h/2 + 45/2. 3*(h - 3)*(6*h - 5)/2 Find m, given that 2*m**3/5 + 226*m**2/5 + 176*m + 872/5 = 0. -109, -2 Find j, given that -11858*j**5/3 + 509278*j**4/3 + 2315074*j**3/3 - 2667398*j**2/3 - 143216*j/3 - 1880/3 = 0. -5, -2/77, 1, 47 Let -3*k**4 - 129954*k**3 - 1406946927*k**2 + 8445190644*k - 12669540588 = 0. What is k? -21662, 3 Find r, given that r**4 - 2881*r**3 - 28934*r**2 + 69384*r = 0. -12, 0, 2, 2891 Let 3*s**5/7 + 114*s**4/7 + 219*s**3/7 + 108*s**2/7 = 0. Calculate s. -36, -1, 0 Find k such that -2*k**5/3 - 396*k**4 - 10570*k**3/3 - 7808*k**2 - 4680*k = 0. -585, -6, -2, -1, 0 Factor 4*r**4/3 - 388*r**3 + 7952*r**2/3. 4*r**2*(r - 284)*(r - 7)/3 What is n in 2*n**3 - 56*n**2/5 - 11942*n/5 + 11988/5 = 0? -162/5, 1, 37 Find o, given that 3*o**2/8 - 273813*o/8 + 136905/4 = 0. 1, 91270 Find g such that -g**5/7 + 15*g**4/7 + 117*g**3/7 + 185*g**2/7 + 12*g = 0. -4, -1, 0, 21 What is t in -3*t**2 - 39018*t - 126867027 = 0? -6503 Factor -v**3 + 376*v**2 + 76359*v - 76734. -(v - 522)*(v - 1)*(v + 147) Find x, given that 100*x**4/7 - 10820*x**3/7 + 298016*x**2/7 - 287296*x/7 = 0. 0, 1, 268/5 Factor -o**2 + 247470*o - 15310350225. -(o - 123735)**2 Factor -3*i**2 + 33114*i + 497385. -3*(i - 11053)*(i + 15) What is q in 4*q**4 - 3988*q**3 + 1322676*q**2 - 145042812*q - 295408296 = 0? -2, 333 Factor 2*u**3 - 542*u**2 + 1028*u + 12912. 2*(u - 269)*(u - 6)*(u + 4) Factor -4*m**4 + 3464*m**3 - 780484*m**2 + 13218624*m - 58247424. -4*(m - 424)**2*(m - 9)**2 Factor -p**3 + 30*p**2 + 1864*p - 3840. -(p - 60)*(p - 2)*(p + 32) Determine q, given that -q**2/2 - 186*q - 1456 = 0. -364, -8 Factor -5*g**3 - 254795*g**2 - 509575*g - 254785. -5*(g + 1)**2*(g + 50957) What is k in 5*k**3 - 250*k**2 + 3185*k - 7440 = 0? 3, 16, 31 What is f
{ "pile_set_name": "DM Mathematics" }
- 2*w = -2 for t. -2 Suppose 0 = h + 1 - 4. Suppose 0 = -h*b - r + 5*r + 6, 8 = 4*b - r. Solve 0 = 3*w + 3*g + b*g - 3, -3*g = -w - 13 for w. -4 Let p be (0 + 0)/(-1 - 0). Suppose p*h = -3*h. Let k be 10/(-40) - ((-135)/12 - 0). Solve -3*b - 3 = h, 4*a - k = b - 2*b for a. 3 Suppose 5*t = -2*i + 28, 3*t - 9 = t - 3*i. Solve 2*g - t*g - 16 = -s, -5*g - 19 = -s for s. 4 Let j = -6 - -9. Suppose -i + j = 3*t - 7, 0 = t - 3*i. Solve 0 = -5*u - x + 10, 4*x = t*u - 6 - 0 for u. 2 Let k(f) = -f**2 + 4. Let m be k(0). Solve -m*s - 2*t = -16, -3*s - 2*t = 3*t - 12 for s. 4 Let l = 27 - 26. Suppose -5 + l = -t. Solve -3*r - r = 4*v + 12, v + t*r = 0 for v. -4 Let a = -19 + 21. Solve -5*m + 9 = 2*j, -5*j + 3 + 9 = a*m for m. 1 Let z be 1*9 - (-1 - -3). Let t = z - 6. Let m be t + 9/(-1 + 2). Solve 3*x + 6 = -2*b - 5, 4*x + m = 2*b for x. -3 Let l(p) = -p + 1. Let n be l(-9). Suppose 9*f - 4*f - n = 0. Solve -5*g - 5 = 0, -f*x + 3*g = -4*x + 5 for x. 4 Suppose -5*c = -c - 20. Suppose -3*h + 8 = 2*v, v = c*h - 9 - 13. Solve -2*q + 3*w = 3*q - 6, 4 = h*q - 2*w for q. 0 Let t be (12/(-14))/(13/91). Let c(p) = p + 10. Let j be c(t). Solve -2*o - 3*s = -7*o - 15, 0 = -2*o + j*s - 20 for o. 0 Suppose 0 = -5*k - 0*k - 5, 8 = 3*y + k. Suppose -i = -6*i + y*m, 3*i - 19 = -2*m. Solve i*v - 2*c = 3*c - 40, v = 4*c - 25 for v. -5 Let r(f) = 3 + 1 + 0*f - f + 0. Let q be r(-4). Solve -n + 9 = 4*c - 3*c, 0 = -3*n + 4*c - q for n. 4 Suppose 1 - 21 = -4*i - 4*z, 13 = 3*i + 2*z. Solve 3*g - i = 3*f - 6*f, 2*f = -g - 1 for g. 3 Let a(t) = -t + 1. Suppose 5*u = s + 26 + 9, 28 = 4*u + s. Suppose 3*i - 1 + u = 0. Let x be a(i). Solve 0 = -4*h + d - 2, 4*h = 3*d - x - 3 for h. 0 Let w = -2 + 6. Suppose 23 = 4*z + f, -w*z - 5*f - 5 = -8*z. Solve x + 5*s = 13, x + 2*x + 1 = z*s for x. 3 Suppose 4 = p, 3*s + 2*p - 4*p = 1. Solve 4*g - 5 = -7*r + 4*r, 1 = s*g + 5*r for g. 2 Let b = 39 + -27. Solve -2*w + h - 12 = -4*h, 0 = 3*h - b for w. 4 Let j be 11/3 - 2/(-6). Suppose -28 = -3*x - 3*t + 5*t, 2*x + 8 = -j*t. Solve 0 = 3*b + 2*v + x, 0 = -3*b - 0*b - 4*v for b. -4 Let m(w) = w**3 - 8*w**2 + 15*w - 15. Let t be m(6). Solve -4*q = -4*k - 32, -t*k + 4*q - 17 = -2*k for k. -5 Suppose 4*y + 2*a = -0*y, 4*y = 5*a + 28. Suppose -3*k - 16 = -y*g - 2*k, -2*k - 22 = -3*g. Let o = -7 + g. Solve 0 = -o*s - 4*r - 22, 3*s = s - r - 8 for s. -2 Let x(y) = 2*y**2 + 6*y + 5. Suppose -j - 2*j - 12 = 0. Let d be x(j). Let v = d + -9. Solve 0*o + 5 = -4*o + 5*b, -v*o = b - 25 for o. 5 Let j be (12/14)/(-1*9/(-42)). Solve j*m - 2*t - 18 = 0, 0 = -4*m + 7*t - 2*t + 27 for m. 3 Suppose -5 = 4*k - 5*k. Let g = 10 + -6. Suppose 0 = -g*t - 2*x + 20, -2*t + x = -3*x - 10. Solve -20 = k*h - v, -t*h = 4*v - 8*v + 20 for h. -4 Let o(c) = -c**3 + 9*c**2 - 7*c - 5. Let d be o(8). Solve 4*k - 4*u + 16 = 0, 4*k = d*u - 14 + 3 for k. 1 Suppose 2*l = 2*b + 5 + 5, 0 = 3*b + 5*l - 17. Let g = b + 13. Solve -4*u - g = 0, -6 + 14 = -4*a + 4*u for a. -5 Suppose 0*p = -2*p + 4. Suppose 2*u + 1 = -3*y - p, -5*u + 5 = -5*y. Solve -4*c = 0, u*q + 3*c = q + 1 for q. -1 Suppose 1 = 2*f + 2*w + w, 2*f + 4*w = -2. Let b(p) = -p - 7. Let q be b(-3). Let r be (-3 - (-20)/q)*-2. Solve -x = -2*i + f, i - 2*i = -5*x - r for i. 1 Suppose -25 = -4*d - d. Suppose 0 = -0*y + d*y - 85. Solve 4*g - 5*b = -6 + 29, 0 = 4*g - 3*b - y for g. 2 Let h(x) = -x**3 - x**2 + 5. Let y be h(0). Suppose -y*a = -4*f - 13, 0 = -3*f - 4*a + 3*a + 14. Solve 2*w = -f*n - 2, -w + 2*w - 2*n + 1 = 0 for w. -1 Let w = 111 - 106. Solve 7 = -3*t - 2*i, 14 = -2*t - w*i - 9 for t. 1 Let c(b) = b**3 + 3*b**2 + 3*b + 2. Let l(w) = -w**2 - 2*w - 2. Let s be l(-2). Let r be c(s). Let v = 8 - 4. Solve -o - 4*x + 3 = r, -o + 4*x = -v*o + 9 for o. 3 Let j = 28 - 25. Solve 3*t - j*i = -0*i + 15, -5*t + 21 = -4*i for t. 1 Suppose -7*m + 2*m - a = 10, 2*a - 22 = 4*m. Let j = m + 5. Solve -4*x + 2*y - j = -10, -13 = -3*x + 5*y for x. 1 Let n be (-1)/(3 + 0 + -4). Suppose -a + 6*j = 2*j - 6, -j - n = 0. Solve -3*v - f + 8 = 0, -4 = 5*v + a*f - 19 for v. 1 Let g(s) = s**2 + 9*s + 10. Let k be g(-8). Suppose 5 = 3*v + 4*z, -k*v + 5*z = -0*v - 11. Solve -1 = -a - v*f + 2*f, -4 = 5*a - 4*f for a. 0 Suppose -m = v + 2, -2*m = 2*m + v - 7. Solve 0 = -5*l + 2*c - 35, -m*l - l + 5*c - 45 = 0 for l. -5 Suppose 2*n = -0*n + 4. Suppose -q = -5*g + 7, 4*g - 1 - 1 = q. Let l = -10 + q. Solve -4*k = -n*y, -2 = -4*k - y - l for k. -1 Suppose 0 = -5*f + 3*f + 14. Let v = -18 + 11. Let t = -5 - v. Solve 0 = -4*p + 5*c + 7, t*p - 4*c = f + 1 for p. -2 Let v = 24 - 34. Let r be 10*((-24)/v - 2). Solve r*x = 4, -4*x - 4 + 2 = -2*k for k. 3 Let o be -2 + 1 + (1 - -4). Let b = 4 - o. Let z = 5 - b. Solve -2*q + y - 7 = -0*y, -2*q - 3*y = -z for q. -2 Let v = -17 - -35. Suppose -2*c - 2*i = v, 2*c - 4*c - 24 = 5*i. Let f = -2 - c. Solve -2 + 0 = -x, 30 = -4*h + f*x for h. -5 Let b(g) = 3*g**2 + 2*g**2 - 4*g**2 + 0*g**2 - 3*g - 7. Let a be b(5). Solve -a*o - i = 2*o + 27, 5*o = 2*i - 21 for o. -5 Suppose -5*d - 6 - 84 = 0. Let m be (-6)/d + 22/6. Suppose 0 = -m*s + 8*s. Solve 0 = -x + 4*k - 5 - 10, 5*x - k - 20 = s for x. 5 Suppose -100 = -5*g - 0*g. Let o be ((-12)/8)/((-6)/g). Solve -3*w + 9 = 5*h - 6, -3*h = w - o for w. 5 Suppose -8*a = -7*a - 7. Solve -2*x = -a*x + f, 2*x = -5*f for x. 0 Suppose -3*m + 24 = 3*s - 7*m, m = -3. Solve -2*c = -5*j - 5*c - 26, s*j = -4*c - 24 for j. -4 Suppose 3*j + 108 = 7*j. Suppose k + 5*t + 59 = 3*k, -k = -2*t - j. Solve -4*l - k = -r, r - 1 = 2*l + 8 for r. 1 Let s(c) = c**3 - 9*c**2 + 8*c + 5. Let q be s(8). Solve q*b - 26 = -2*l, -l + 6*l - 19 = -b for l. 3 Let k(l) be the first derivative of l**4/4 - 8*l**3/3 - 7*l**2/2 - 7*l + 1. Let y be k(9). Solve 5*x = 4*q - 15 - 4, -4*x = q + y for x. -3 Suppose -5*w + 26 = 3*b, 14 = 4*w + 2*b - 8. Let j = 11 - w. Solve y + 2*s - 15 = j*y, -y - s = 0 for y. -3 Suppose -4*q = -0*q - 4*i, -3*q - 5*i + 32 = 0. Suppose -y + 4 = k, 3*y + 2*k + q = 4*y. Let f = y - 2. Solve f*v = 5*o + 19, 2*o + 5*v - 8 = -4 for o. -3 Let y = -17 + 31. Solve -2*c + 3 = 3*b - y, -2*b - 2 = -2*c for b. 3 Let y(v) = -v**2 + 9*v - 7. Let u be y(6). Let b = -8 + u. Suppose 6 = b*t - t. Solve -3*r = 15, -2*r - t - 7 = c for c. 0 Suppose 2*r + 0 = 8, 0 = 5*g + r - 29. Let w be (-1)/5 - (-86)/g. Solve -5*h - 5*q = 20, -3*h - 7*q + 3*q = w for h. 1 Let v(y) be the first derivative of -y**4/4 + y**3 + y**2/2 + y - 4. Let z be v(3). Solve d - z*o - 10 - 5 = 0, -o = 5 for d. -5 Let f be 0/(-2 - -1) + 2. Suppose 2*i + 5*v - 4 = -0, 2*v = 0. Solve -i*x - 2 = -f*y, -2*x - 6 = -2*y - x for y. 5 Suppose 2*r + 18 = -0*r. Let z = -4 - r. Suppose 3*k = -z*h - 1, 2*k + 2*h = 4*k - 10. Solve 2 = -2*w - k*y - 4, 4 = 5*w - 2*y for w. 0 Let x(u) = -u**2 + 1. Let w(h) = -11 - 9 - 7*h**2 + 5*h**2. Let b(a) = -w(a) + 3*x(a). Let k be b(0). Solve -3*p - 3*v + k = -5*p, -5*v + 29 = -p for p. -4 Let k(q) = -q**2 - 4*q + 5. Let v be k(-5). Solve n + 7 = -v*d + 5*d, 5*n + 4*d - 23 = 0 for n. 3 Let h(o) = o**2 - 4*o - 1. Let b be (-12)/(-10)*(-50)/15. Let d be 1/b + 105/20. Let p be h(d). Solve -a + 2 = w + w, -p*a - 3*w + 13 = 0 for a. 4 Let k(c) = -3*c - 6. Let o be k(-5). Let m = -3 - -7. Suppose 0 = 5*r + 2*v + 3*v, -m*r = v - 9. Solve -o = -3*w + 3*n, -2*w + w - r*n + 3 = 0 for w. 3 Suppose 15 = -5*c, -c + 5*c = 4*f - 24. Suppose f*d = -d + 100. Suppose 5*x - 2*l = 2*x + 23, x + 2*l - 5 = 0. Solve 3*i - x = g, 6 - d = i + 5*g for i. 1 Let d(x) = -x**3 + 11*x**2 + x - 9. Let u be d(11). Solve 5*y + u*h - 21 = 0, 3*h = -4*y + y + 9 for y. 5 Let k(i) = -i**2 - 8*i + 8. Let y be k(-7). Suppose 4*z + 4*h = -0*z + 24, -4*z = h - y. Solve -l - 2*w - 4 = 1, -z = -3*l + 3*w for l. -1 Let d(c) = -c**3 + 11*c**2 + 14*c - 22. Let o be d(12). Solve 4 = -o*b - 4*u, 4*b - 2*u + 0*u = 12 for b. 2 Let j = 3 - 3. Suppose -5*u = -j*u - 10. Suppose -a - a = -u. Solve -2*t - a + 14 = 5*r, 4 = 4*r for t. 4 Let j be (14/4)/(16/32). Solve -4*i = 6*h - h - j, -14 = -h - 5*i for h. -1 Suppose -2*v + 3 = -3. Suppose 0 = -r + 9 + v. Solve -3*t + r = -h + t, 0 = 3*h + 4*t - 12 for h. 0 Let p(w) = -w**2 - 4*w + 1. Let b be p(-4). Let a = 5 - b. Solve 2*g - 7 = a*f + g, -5 = -4*f - 3*g for f. -1 Let j(r) = r + 7. Let h be j(6). Suppose k + 2*y + 10 = 0, 0 = 3*k + 4*y + 28. Let b = h + k. Solve -
{ "pile_set_name": "DM Mathematics" }
? -121560*a**3 - 41712*a Find the first derivative of -268915384*i**2 + 206265488 wrt i. -537830768*i What is the second derivative of -6141192*p**4 + 3*p + 303222 wrt p? -73694304*p**2 What is the first derivative of -45736252*o**3 + 14921395? -137208756*o**2 Find the second derivative of -1415931*f**3 - 9941776*f + 2. -8495586*f Find the second derivative of 157987666*i**2*m**2 - i**2*m + 8*i**2 + 2*i*m + 3*i - 7*m + 81 wrt m. 315975332*i**2 What is the third derivative of 27*n**6 + 67812*n**5 + n**3 - 58610540*n**2 wrt n? 3240*n**3 + 4068720*n**2 + 6 Differentiate 6*n**2*u**3 - 10*n**2 - 606*n - u**3 - 23*u**2 + 40*u - 9 wrt n. 12*n*u**3 - 20*n - 606 What is the second derivative of 655*v*y**3*z**2 - 3*v*z + 27366209*y**3*z + 2036*y**2*z**2 wrt z? 1310*v*y**3 + 4072*y**2 Find the second derivative of -42299171*y**2 - 15608813*y. -84598342 Differentiate 4872*c**3*v + 2*c*v**2 + 1862*c*v - 4*v**2 - 15*v + 1853 with respect to c. 14616*c**2*v + 2*v**2 + 1862*v Differentiate -101410*f**3*s**3 - 16*f**2*n**2 - 2*n**2*s**3 + 166*n**2 + 1504*s**3 wrt f. -304230*f**2*s**3 - 32*f*n**2 What is the first derivative of 185021*c*l**2 + 2*c*l + 12*c - 32863660*l**2 wrt c? 185021*l**2 + 2*l + 12 Differentiate 3*b*o**2 - 2*b*o - 50*b + 3*o**2 - 906*o - 14980 wrt o. 6*b*o - 2*b + 6*o - 906 Differentiate -2970*h*l + 9307*h + 57896050*l with respect to h. -2970*l + 9307 Find the second derivative of 14*r**2*u**2 + 1352892*r**2*u - 2*r*u**3 - 5*r*u + 145*u**3 + 43*u**2 wrt u. 28*r**2 - 12*r*u + 870*u + 86 What is the derivative of -451*f*i*q - 13534*f*i + 395223*f*q - 2*q wrt i? -451*f*q - 13534*f What is the derivative of 2*u**3 - 45144942*u + 70150650 wrt u? 6*u**2 - 45144942 Find the second derivative of 34726990*m**2 + 35811538*m wrt m. 69453980 Find the first derivative of 546123216*f + 866123887 wrt f. 546123216 What is the third derivative of -26510853*w**4 - w**3 - 81*w**2 + 7422*w? -636260472*w - 6 What is the second derivative of 23*r**4 + 37844*r**3 + 20*r**2 + 116801901*r wrt r? 276*r**2 + 227064*r + 40 What is the second derivative of -99347591*m**2 - 5830*m + 9377? -198695182 Find the second derivative of 11079332*c**2*u**2 - 1447337*c*u**2 - 2*u**2 wrt c. 22158664*u**2 What is the third derivative of -140864398*v**3 + 174546562*v**2? -845186388 What is the third derivative of 349*r**6 - 13007*r**3 + 11265438*r**2? 41880*r**3 - 78042 What is the derivative of 210*w**4 - 7995*w**3 + 13936514? 840*w**3 - 23985*w**2 Find the third derivative of -109843369*t**4 + 1909*t**2 - 1179*t - 1 wrt t. -2636240856*t Find the second derivative of 500864603*u**3 - 405*u - 154279. 3005187618*u Differentiate -49173258*j - 12774229 wrt j. -49173258 What is the first derivative of 62145183*q*w - 46916433*q wrt w? 62145183*q What is the second derivative of 1058820074*j**3 - 4*j - 144238615 wrt j? 6352920444*j What is the second derivative of 3*t**4 - 3*t**3 + 109982*t**2 - 7666949*t? 36*t**2 - 18*t + 219964 What is the second derivative of 469805997*f*i**2 + f*i - 2*f + 9261*i - 14817 wrt i? 939611994*f Differentiate -6229127*l - 350925 wrt l. -6229127 What is the second derivative of 6430337*p**2 - 324*p - 3018 wrt p? 12860674 What is the third derivative of -38403*b**4*k**2 - 279*b**4*k*t**2 - 2*b**2*k**2 - 1623*b**2*k + 2*b**2*t**2 + 2*b*t - b + 2*k**2*t**2 + 2*t**2 wrt b? -921672*b*k**2 - 6696*b*k*t**2 Find the third derivative of 2*b*i**3 - 3193407*b*i**2 + 60512330*i**3 + 8*i wrt i. 12*b + 363073980 What is the derivative of 812911*z**3 - 33*z + 84794253 wrt z? 2438733*z**2 - 33 Find the third derivative of 2*h*s**4 - 11238*h*s**3 - 165468*h*s**2 + 11*h*s + 8*s**4 - 82*s**3 - 5*s**2 wrt s. 48*h*s - 67428*h + 192*s - 492 Differentiate -197*g**2*l*z + 15*g**2*l + 16757*g**2*z + 144*g**2 + 114*g*l + l - 4*z**2 wrt z. -197*g**2*l + 16757*g**2 - 8*z Find the third derivative of -310531*a*i**3 + 23*a*i**2 + 2*a*i + 2*a + 2*i**3 + i**2 + i - 96 wrt i. -1863186*a + 12 What is the third derivative of -16426300*z**5 + 3258573*z**2? -985578000*z**2 Find the third derivative of -4*k**5 - 384*k**4 - 9465*k**3 + 120603224*k**2. -240*k**2 - 9216*k - 56790 Find the second derivative of -2*u**4 - 18565*u**3 + 393*u**2 - 40*u - 8309137 wrt u. -24*u**2 - 111390*u + 786 Find the third derivative of -31948*o**3*s**3 - 13*o**3 + 3*o*s**3 - s**3 - 584661*s**2 wrt s. -191688*o**3 + 18*o - 6 Find the first derivative of 1552*q**2 + 22920*q*w + 444685281*w wrt q. 3104*q + 22920*w What is the second derivative of -63737631*i**2 + 144845490*i? -127475262 Find the first derivative of -120731*h**3*k + 42*h*k - 3*k - 2044288 wrt h. -362193*h**2*k + 42*k Find the first derivative of 3320*b**2 + 51577*b + 817738069. 6640*b + 51577 Find the third derivative of -17670691*s**5 + 9*s**3 - 81*s**2 + 800700 wrt s. -1060241460*s**2 + 54 Find the second derivative of -25*v*z**2 - 2494131*v*z + 14*v - 1870326*z**2 + 2*z + 1 wrt z. -50*v - 3740652 What is the third derivative of 3*a**5*c - 1639839*a**4*c - 3*a**2*c + 13*a*c - 19195*a + 3*c + 2 wrt a? 180*a**2*c - 39356136*a*c What is the second derivative of 680062*g*j**2*w**2 + 3*g*j**2*w - 171083*g*j**2 - 8*g + 280*j**2*w**2 - j**2*w - 13*j wrt w? 1360124*g*j**2 + 560*j**2 What is the second derivative of 282*h**2*v**2 - 2*h**2 - 462*h*r*v + 5386*r*v**3 + 1446*r wrt v? 564*h**2 + 32316*r*v What is the first derivative of 268360*h**3 - 3*h**2*p - 15617511*p wrt h? 805080*h**2 - 6*h*p Find the third derivative of 3*f**4*q**3 - 1112275*f**4*q**2 - 380*f**2*q - 30*f**2 - 4*f*q**3 - f*q + 2 wrt f. 72*f*q**3 - 26694600*f*q**2 What is the second derivative of 848063*w**4 - 2*w**2 + 1161605*w wrt w? 10176756*w**2 - 4 What is the first derivative of -14431501*m + 20135726? -14431501 Find the second derivative of -5101*t**4 + 431*t**3 - 3*t**2 + 832699808*t. -61212*t**2 + 2586*t - 6 Find the third derivative of -6*k*l*s**3*v + 1358*k*l*s**3 - 1193*k*l*s**2*v + 314*k*l*s**2 + 2*k*l - 411*s**3*v - v wrt s. -36*k*l*v + 8148*k*l - 2466*v Find the second derivative of -4*a**2*h**3 + 1613815*a**2 + a*h**3 + 2*a*h - a - 20*h**3 - 11798*h**2 wrt a. -8*h**3 + 3227630 What is the derivative of -96273488*x**3 - 154353243 wrt x? -288820464*x**2 Differentiate -28*b**2*t - b**2 + 5001*b*t - 2404210*b - 12*t - 4 with respect to t. -28*b**2 + 5001*b - 12 Find the third derivative of 4242744*d**4 + 53*d**3*u + 838199027*d**2*u wrt d. 101825856*d + 318*u Differentiate 118452*c*l + c*o - 2*c - 4286031*l*o - 4*l - 2 wrt o. c - 4286031*l What is the derivative of 217783850*v - 410183820 wrt v? 217783850 Find the third derivative of -2142*r**5 + 4098*r**4 + 13*r**2 + 237454*r. -128520*r**2 + 98352*r What is the second derivative of -o**4 + 63896*o**3 + 109*o**2 + 2380146*o - 2? -12*o**2 + 383376*o + 218 Differentiate -596205627*m**3*w - 1067*m**3 - 2107*m - 20 wrt w. -596205627*m**3 Find the third derivative of 2*y**6 + 22*y**4 + 103151*y**3 - 70*y**2 + 12*y - 1963 wrt y. 240*y**3 + 528*y + 618906 Find the third derivative of 10*j**6 - 97485*j**3 + 9488384*j**2 wrt j. 1200*j**3 - 584910 What is the first derivative of 86876562*h - 97713585 wrt h? 86876562 What is the third derivative of -3*l**3*t**3 + 2*l**3*t**2 - 3*l**3 + 18344611*l**2*t**3 + 7*l**2 - l*t - 111289*t**2 wrt t? -18*l**3 + 110067666*l**2 Find the first derivative of 405698602*f*y + 1285650152*f wrt y. 405698602*f What is the derivative of 3665891*p**4 + 4175999? 14663564*p**3 Find the third derivative of 10464*d**2*j**3 + 258*d**2*j**2 + 4181*d*j**3 + 166098*j**2 wrt j. 62784*d**2 + 25086*d Find the second derivative of -31113363*h**4 + 2575*h + 13613 wrt h. -373360356*h**2 What is the first derivative of 18046081*w - 50269076 wrt w? 18046081 Differentiate -16*k**3 - 4*k**2 - 16161*k + 1414232 wrt k. -48*k**2 - 8*k - 16161 Find the third derivative of -603782*a**6 - 11*a**4 - 11*a**3 + 120150698*a**2 wrt a. -72453840*a**3 - 264*a - 66 What is the second derivative of 282219866*t*z**2 + 7811*t*z + 13*z - 202 wrt z? 564439732*t What is the first derivative of -92*d**3 + 2*d**2 - 3042*d + 4440606 wrt d? -276*d**2 + 4*d - 3042 What is the first derivative of -39*x**2 + 526623*x - 83654502? -78*x + 526623 Find the second derivative of -312283480*r**4 - 142724154*r wrt r. -3747401760*r**2 Differentiate 80956*c**4*t -
{ "pile_set_name": "DM Mathematics" }
2*q**2 + 2. Let m be ((-2 - 1)/(-3) - 3) + 1. Give r(m). -1 Let r(w) = w**2 + 4*w + 5. Let n(d) = 74*d + 2292. Let o be n(-31). What is r(o)? 1 Let s(w) be the third derivative of w**4/8 - 5*w**3/6 - 2*w**2 - 97*w. Give s(3). 4 Let r = -17478 - -17477. Suppose 0 = -0*s - 5*s + 100. Let x(k) = s*k + 0 - 18*k + 0. What is x(r)? -2 Let q(r) = -r**2 - 2*r + 3. Let l = -170 - -175. Let f(i) = -3*i**2 - 5*i + 5. Let d(c) = l*q(c) - 2*f(c). Give d(0). 5 Let p(g) = -g**2 - g. Suppose -11 = -b - 4*r, 0 = -2*b + 6*r - 3*r. Let l(z) = 2*z**2 + 11*z + 3. Let v(a) = b*p(a) + l(a). Calculate v(6). 15 Let z = 1385 + -746. Suppose 10*h = -271 - z. Let v = h - -94. Let b(i) = -4*i + 2. Determine b(v). -10 Let s = -24 + 26. Let c(l) = -65 + 28 + 35 - s*l. Calculate c(3). -8 Suppose -2*u + 8*v - 12*v = 20, -4*u - 25 = 5*v. Suppose -4*m + 2*s + 14 = u, 3*m - 6 = 23*s - 26*s. Let p(y) = -y - 2. Calculate p(m). -5 Let k(i) be the second derivative of -i**4/12 + 3*i**3/2 - 11*i**2 - 583*i. Calculate k(9). -22 Let a(b) = 2*b**3 - b**2 - 7*b + 6. Let d(w) = -w**2 - 852*w - 3390. Let t be d(-4). Calculate a(t). 4 Let x(k) be the third derivative of -k**5/60 + k**4/6 + 4*k**3/3 + 68*k**2 + 2. Calculate x(-2). -4 Let y(h) = -127*h**2 + 3*h + 1. Let w(f) = -65*f**2 + f. Let u(o) = 2*w(o) - y(o). Let t be (-4)/12 - (-2)/(-3). What is u(t)? -3 Suppose 16 = -6*y + 2*y. Let k be y*4/((-80)/25). Let t be 3/(6*k/(-10)). Let v(c) = 6*c - 1. What is v(t)? -7 Let c = -417 - -421. Let n(k) = c*k + k - 8*k - k + 6*k. Calculate n(5). 10 Let t(v) = 6*v + 4. Let g(b) = 7*b + 0 - 5 + 10. Let n(d) = 5*g(d) - 6*t(d). Suppose -6 = -3*o - 4*z + 16, 0 = -o - z + 7. Calculate n(o). -5 Let o(s) be the second derivative of s**4/12 + 4*s**3/3 - 3*s**2 + 1327*s. What is o(5)? 59 Let l be 6 + 6 + -16 - 17. Let q(m) = m**2 + 20*m + 4. Calculate q(l). 25 Suppose -20*q = -14*q - 582. Let i(n) = -33*n**2 - 32*n**2 + 2 + n**3 + q*n**2 - 31*n**2. Determine i(-2). -2 Let b(z) be the first derivative of -z**6/360 + z**5/120 + z**4/24 + 17*z**3/3 - 31. Let t(y) be the third derivative of b(y). Determine t(2). -1 Suppose 0 = -l - 4*v - 11, 2 = l + 2*v + 5. Let t(c) = -3*c - l + 2 + 0*c. Suppose -2*f - 48 = 5*z - 13, 4*z + 25 = -f. Determine t(f). 12 Suppose -8 = 5*y - t + 7, 3*t = y + 3. Let r be (-80)/(-60)*1/(-2)*y. Let w(o) = -7*o**2 - 1 + o**r - 1 + 3. Calculate w(1). -5 Let x(z) be the first derivative of z**5/15 + z**4/24 - 20*z**3/3 - 29. Let y(i) be the third derivative of x(i). Suppose 2*d = -d - 3. Determine y(d). -7 Let h(z) = 3*z**3 - 6*z**2 + 8*z - 1. Let c(u) = -9*u + 18*u**2 + 13*u**3 - 15*u - 24*u**3 + 4. Let d(q) = -2*c(q) - 7*h(q). What is d(-7)? 6 Let a(w) = 2 + 1312*w**3 - 658*w**3 + 4*w**2 - 655*w**3 - w - 4*w**2. What is a(0)? 2 Let m(b) = 4*b - 38. Let q(w) = 52*w - 594. Let i(h) = 28*m(h) - 2*q(h). Give i(-15). 4 Let r(a) be the first derivative of 2*a**3 - 1/4*a**4 + 10*a - 139 - 11/2*a**2. Calculate r(4). -2 Let y(a) = -13*a**3 - a**2 + 8*a. Let r(q) = 24*q**3 + q**2 - 15*q - 1. Suppose 11*m - 4*m = -42. Let o(h) = m*r(h) - 11*y(h). What is o(5)? 16 Let o(q) be the third derivative of q**5/60 + q**4/24 - 4*q**3/3 - 30*q**2 - 1. Suppose 3*l - 12 = -3*t, l = 2*l - 4*t - 29. Let c = l - 9. Calculate o(c). -8 Let z(q) = 22 - q**2 + 3*q**2 - 2*q + 14*q - q**2 - 25*q. What is z(7)? -20 Let u(p) = -p**3 + p**2 - p - 3. Suppose 0 = -5*a - 2*q + 4, -2*a + 9 = q + 8. Suppose -i = -2*x - a + 5, 4*i = 2*x - 12. Give u(x). -3 Let r(i) = 3*i**3 - 14*i**2 - 6*i + 9. Let z be 8/2 + (-10 - (12 + -23)). What is r(z)? 4 Let q be (-2)/2*-1*0. Suppose -6 + q = -2*v. Let l(f) = 7*f - 48. Let j(a) = -19*a + 132. Let i(d) = 4*j(d) + 11*l(d). What is i(v)? 3 Let f(h) = -h - 7*h - 15*h + 30*h - 8*h. Let j = -1 - -10. What is f(j)? -9 Let o(u) = -8*u + 14. Suppose 11205*l - 105 = 11226*l. What is o(l)? 54 Let p(v) = -v**2 + 14*v + 30. Let r(x) = 2*x**3 - 100*x**2 - 103*x + 67. Let m be r(51). Determine p(m). -2 Let h = 53 + -33. Let m(r) = 54*r - h*r - 17*r + 6 - 19*r. Suppose 0*b = -b + 8. Calculate m(b). -10 Let q(s) be the second derivative of -s**7/840 - s**6/40 + s**5/120 + s**4/24 + 55*s**3/6 - 11*s + 4. Let z(k) be the second derivative of q(k). Give z(-9). -8 Let f(j) = -j + 13. Let x(c) = -c**2 - 32*c - 186. Let g(m) = -7*m**2 - 9*m - 10. Let a be g(-1). Let h be x(a). Give f(h). 7 Let h(g) = -g**3 - 15*g**2 - 16*g + 121. Let l = -2124 + 2111. Give h(l). -9 Let v(t) = 10*t + 1. Let u(a) = -19*a - 2. Let s(g) = 3*u(g) + 5*v(g). Suppose -50 + 13 = 7*w - 5*j, 0 = -2*w + j - 8. Give s(w). 6 Let k(b) be the third derivative of b**4/24 - 7*b**3/6 + 2*b**2. Let j be 184/48 - (8 - 172*8/192). What is k(j)? -4 Let f(p) = -244*p - 3*p**2 - 88 + 79*p + 55*p + 62*p. Calculate f(-2). -4 Let z(o) = 378*o - 610*o + 100 + 42*o + 4*o**2. Calculate z(47). 6 Let i(g) = 3*g - 35981 + 71952 - 35954. Suppose 0*k - 4*k - 48 = 0. What is i(k)? -19 Let o(x) = 3*x + 2. Let b be (-1)/((-10)/(-6) + (-20)/30). Let z be b/(-2 + 84/40). Let d = z + 8. Calculate o(d). -4 Let a(d) be the third derivative of -7/6*d**3 + 0 + 1/60*d**5 - 156*d**2 - 1/24*d**4 + 0*d. Give a(6). 23 Let c(w) be the first derivative of 114 + 1/2*w**2 + 8*w. What is c(-7)? 1 Let j(a) be the third derivative of a**4/6 - 5*a**3/2 - 1152*a**2. Calculate j(6). 9 Let d(r) = r**2 + 2*r + 2. Let u be 2632/24 + 2/6. Let g = 108 - u. Let b be -2*g/4*-2. What is d(b)? 2 Let z = 8 + -13. Let b = 230 + -228. Let n(g) = 10*g**2 - 7*g - g**b - 4 - 25*g**2 + 15*g**2. Give n(z). 6 Let i(u) = -u**2 + 6*u + 26. Let w be i(9). Let d(r) = -3*r**3 + r**2 + 3. Let b(a) = -a + 1. Let t(h) = w*d(h) + 2*b(h). Calculate t(-1). -3 Suppose 0 = y - 56 + 54. Suppose -2*i + 5*q = -i - 3, y*i - 5*q - 26 = 0. Suppose -3*c = -4 - i. Let p(a) = -a + 1. Calculate p(c). -8 Let r(d) = -28*d**3 + d**2 + d - 1. Let v = -138 + 142. Suppose -v*o - 6 = 2*s, -6 = 6*s - 2*s + 5*o. What is r(s)? -27 Let p(k) = -k**3 - 8*k**2 - 7*k + 9. Suppose o - 5*r = 23 + 7, 0 = -5*r - 25. Suppose 3*w + 357 = -4*i - 0*w, -o*w + 118 = -i. Let z = i - -86. Give p(z). 9 Suppose -l = m + 3, -5*l = -6*l + m + 1. Let x(o) be the third derivative of -5*o**4/8 + 41*o**2. Give x(l). 15 Let y be (54/(-10))/(35/50 - (-1)/(-1)). Let z(d) = -d**3 + 20*d**2 - 37*d + 23. What is z(y)? 5 Let s be (212/(-265))/(1/(-5)). Suppose 4*c - 2*c = -s*i + 2, -i - 2 = c. Let l(m) = m**3 - 2*m**2 - 2*m + 1. What is l(i)? 4 Let v(u) be the first derivative of 13/2*u**2 + 12*u - 1/3*u**3 - 149. Calculate v(13). 12 Suppose 4*v + 4 = -0. Let j(d) be the second derivative of d**3/3 + 42*d. Let c(y) = -6*y - 5. Let u(p) = v*c(p) - 2*j(p). Determine u(-4). -3 Let w(c) = -6*c - 29. Let l(d) = -2*d + 8. Let y(b) = 2*l(b) + w(b). What is y(4)? -53 Let z = 5295 + -5291. Let o(y) = -y**3 + 4*y**2 + 5*y + 1. Determine o(z). 21 Let p be (0 - 6)*(5 + (-11)/2). Let s(j) = j**2 + 3 + 7*j**3 - p - 5*j**3 - 1 + j. Calculate s(1). 3 Let a(d) = -d**2 + 7*d - 2. Let f(g) = 5*g**3 - 5*g + 6 + 2*g**3 + 2*g**2 - 5*g**3. Let u be f(3). Let c be 2/(-7) + (-3)/(u/(-132)). Calculate a(c). 4 Let a(p) = p**2 - 6*p - 11. Let s(h) = -5*h**2 - 63*h + 32. Let t(i) = -i**2 + 7*i + 31. Let x be t(-4). Let q be s(x). Calculate a(q). -11 Let j be (-18 + 17)/((-1)/(-4)) + 6. Let y(p) = 31*p**2 - 2*p - 11 + 12 - 27*p**j. Calculate y(1). 3 Suppose -18 = -8*i - 58. Let o(w) be the third derivative of -w**4/24 - 28*w**2. What is o(i)? 5 Let a(r) = -7*r**2 + 3*r + 2. Let h = 285 + -280. Suppose 0 = 4*g - l + 4, 5*g + h = l - 0. Give a(g). -8 Let o(s) = 2*s**3 + 6*s**2 + 157*s - 5. Let d(c) = -3*c**3 - 3*c**2 - 158*c + 2. Let h(p) = -3*d(p) - 4*o(p). What is h(22)? 14 Let n(z) = -z**3 + 3*z**2 + 7*z - 2. Let h = 523 + -281. Let f = h - 237. What is n(f)? -17 Let t(c) be the second derivative of -5*c**3/6 + 19*c**2 + 5628*c. What is t(8)? -2 Let v(p) = 12*p - 4. Let c(j) = j**3 - 16*j**2 - 17*j. Let u be c(17). Let k be v(u). Let m(b) = b**2 + 2*b. Give m(k). 8 Let p(o) be the second derivative of 7*o**4/12 - o**3/3 + 2*o**2 - 3*o + 964. Calculate p(2). 28 Let r(g) be the second derivative of -g**4/6 - 11*g**3/3 - 31*g**2/2 - 299*g - 5. Determine r(-10). -11 Suppose -2*n - 5*v + 774 = 0, -4*n + 8*v = 4*v - 1492. Let r(o) = -192*o + 14 - 184*o + n*o. Calculate r(-9). 5 Let r(h) be the
{ "pile_set_name": "DM Mathematics" }
hich is bigger: 755862/5 or 151171? 755862/5 Is -951 < -21.2? True Which is greater: -2425889 or -2425891? -2425889 Is -1/14 greater than or equal to -4/133? False Are 8.1833 and -2/7 non-equal? True Which is greater: 1/48284 or -5? 1/48284 Is 769/15 at least as big as -39? True Is 242699 bigger than 242699? False Which is bigger: 1 or 305/809? 1 Which is greater: 1 or -146104? 1 Is -42912 greater than or equal to -42910? False Which is smaller: 1881 or 18801/10? 18801/10 Which is smaller: 228 or 82? 82 Are -1041236 and -1041236 unequal? False Are -15087 and -226324/15 equal? False Which is bigger: -24829/4 or 3? 3 Which is greater: -177124 or -177123? -177123 Which is smaller: 5147 or 5158? 5147 Is 10721/3 < 3575? True Which is smaller: 716957/5 or 143391? 143391 Which is smaller: 1 or -94/741? -94/741 Are -4207 and -3922 equal? False Which is bigger: -1 or -207/19288? -207/19288 Is 401521 smaller than 401522? True Which is bigger: -5681/6 or 35? 35 Which is smaller: -609582 or -1219161/2? -609582 Which is smaller: -2/65979 or 0? -2/65979 Is 824 equal to 0.086? False Which is greater: -8961 or -4? -4 Which is greater: 44438/7 or 6347? 44438/7 Which is smaller: 246655 or -1? -1 Which is smaller: 165.4 or 0? 0 Which is bigger: 17670 or 17667? 17670 Are 308/27 and -37 nonequal? True Which is smaller: 2/716571 or -1? -1 Which is bigger: 253/1852 or 0? 253/1852 Which is greater: -806 or -840? -806 Is 0.404 bigger than -16/21? True Are 6/129137 and -1 nonequal? True Which is bigger: -2238 or -1273? -1273 Is 6506 < 6506? False Is -9308 at least as big as 58? False Which is bigger: 1698619 or -1? 1698619 Is -66822 at least as big as -8? False Is 6913 equal to 6906? False Are -0.0458479 and -0.06 nonequal? True Do -1418256 and -1418256 have the same value? True Which is smaller: -27186 or -27184? -27186 Is -3 at most as big as 2413? True Is 20/41 greater than or equal to 52? False Is 12740 at most as big as 12744? True Which is smaller: -4779/14 or 0.13? -4779/14 Which is bigger: 214 or 144? 214 Is -57867 at most as big as -57789? True Is -13/19089 bigger than 0? False Is -9493/90 smaller than -105? True Which is smaller: 1 or -29938? -29938 Do 29175 and 1 have the same value? False Is -1563 greater than -18749/12? False Which is greater: 860 or -239? 860 Which is greater: 4300092/11 or 390916? 4300092/11 Is 28380 at most as big as 28378? False Which is smaller: 20755 or 20757? 20755 Do -0.09 and -174 have different values? True Which is bigger: -1 or -11415/296? -1 Which is smaller: -269984 or -269974? -269984 Which is smaller: -23084 or 4? -23084 Is 119 at most 7652/65? False Which is bigger: -1093 or -19667/18? -19667/18 Which is bigger: 0 or -687/9385? 0 Which is bigger: 215 or 1954? 1954 Is -91 at least as big as -113? True Is 108091 not equal to 108092? True Which is bigger: -1.4 or 4/12555? 4/12555 Which is smaller: -9532849 or -9532850? -9532850 Which is bigger: -168 or -7878/47? -7878/47 Is -614/265 at least -1? False Do 1250/19 and 65 have the same value? False Which is smaller: 2/7 or -7465? -7465 Is -3 < -1920/763? True Which is smaller: -80983 or -80982? -80983 Is -1 at least as big as 3/237719? False Is 80771 less than or equal to 403851/5? False Which is smaller: -138308 or -553237/4? -553237/4 Which is greater: -3529 or -3547? -3529 Is -1.6 bigger than -4554? True Is 0 smaller than 91/19181? True Is -6/252457 bigger than 1? False Do -2969 and -3037 have the same value? False Is -1 equal to 83921? False Which is smaller: -3958 or -3948? -3958 Which is greater: -681 or -2456? -681 Which is bigger: 21266/43 or 494? 21266/43 Is -1774/953 smaller than -3? False Which is greater: -219084 or -219063? -219063 Is -1082 at least as big as -37832/35? False Which is greater: 555/14984 or 0? 555/14984 Is -518294 at least as big as -1/4? False Is -3 at most -342/215? True Is 4/421377 at most 0? False Which is greater: -1 or 2/1249? 2/1249 Which is smaller: 0 or -30/3623? -30/3623 Which is smaller: -1/80887 or 1? -1/80887 Which is smaller: -877/9037 or 0? -877/9037 Do 14797 and 14780 have different values? True Is -233/378 <= -1? False Which is bigger: -1/12 or -54.6? -1/12 Which is smaller: -71131 or -71132? -71132 Is 2822 greater than 11283/4? True Is 146690 smaller than 146691? True Which is bigger: 56735 or 56736? 56736 Is 404086 < 404086? False Are -1 and 76/21233 equal? False Do 6 and 3264/487 have the same value? False Is -2/553 at most -1? False Is -3/2 smaller than 2280/17? True Is 5/4 smaller than -0.007042? False Is 67227 greater than or equal to -1/8? True Which is greater: -44907 or -44906? -44906 Is 2018 greater than 2029? False Is -6/85 less than or equal to 19/4? True Is -2/9 <= -1931631? False Is 9529 < 9540? True Which is bigger: -85434 or -2? -2 Is 69 > -42024? True Which is smaller: -1 or 37/3964? -1 Is 130/10159 less than 0? False Which is smaller: -426 or -7254/17? -7254/17 Is 7476 less than 7476? False Is -107082 at most as big as -107064? True Is 26 bigger than 439? False Which is bigger: -14/101867 or 1? 1 Which is greater: 1/4 or 11.34017? 11.34017 Is 1 != -78/2897? True Which is smaller: -7/37935 or 1? -7/37935 Which is smaller: 112930/3 or 37642? 37642 Which is smaller: 581565 or 581563? 581563 Is -2 less than or equal to -131417? False Is 830453 greater than or equal to 830452? True Is -239955 bigger than -239956? True Is 404/14019 bigger than -1? True Which is smaller: 5.20578 or 0? 0 Which is smaller: 15865/6 or 2645? 15865/6 Do 476 and 35185/74 have the same value? False Is 30 less than 55/2967? False Which is bigger: 38673 or 38676? 38676 Which is bigger: -29/3290 or 0? 0 Is 569177/4 at least as big as 142294? True Which is greater: -2 or -5/28559? -5/28559 Is 199142 less than 199143? True Which is bigger: 167576 or 167577? 167577 Is 1 not equal to -3078463? True Do -39378/37 and -1063 have the same value? False Which is smaller: 8/3281 or -0.05? -0.05 Which is smaller: 4 or 9.322? 4 Is 1/172 at least -3.51? True Are -763350 and -763349 equal? False Do 3/7090 and -1 have the same value? False Is 643749 >= 0? True Is 3 at least 471/277? True Is -46/19069 less than or equal to 0? True Do -9139 and -118792/13 have different values? True Is -659785 at most -659784? True Is -2670/23 > -1? False Which is greater: -846246/5 or -169250? -846246/5 Which is greater: -637 or 2002? 2002 Is 702 at most 5039? True Is 3 at most 744/13? True Is 2126 at most as big as 10629/5? False Is 602873 greater than or equal to 602871? True Is 2337335 at least 2337336? False Do 0.2 and 76468/13 have the same value? False Is -1 < 10/14869? True Which is smaller: 0 or 315/242? 0 Is -1 not equal to 18/8621? True Which is smaller: -103780 or -1.4? -103780 Is -223/788 greater than 1? False Which is bigger: 1168 or 1250? 1250 Is 2.17 at most as big as -166? False Which is smaller: -47345 or -47320? -47345 Which is greater: 758787/13 or 58368? 758787/13 Is -774322 greater than or equal to 1/4? False Which is greater: -12721 or -190819/15? -12721 Which is smaller: 2508 or 2516? 2508 Is 201 > 198? True Which is smaller: 0.32 or 9551? 0.32 Which is smaller: 4964 or 4992? 4964 Do -1748 and -1723 have the same value? False Are 250 and 479 non-equal? True Which is smaller: 764/105 or 7? 7 Is -5 equal to 2/89? False Are -411268 and -411268 non-equal? False Are -1 and 3/43967 nonequal? True Is 20367 < 20392? True Which is smaller: -343506 or 2? -343506 Is -97025 greater than -97025? False Which is smaller: 4431 or 4437? 4431 Which is smaller: -38 or -275? -275 Which is smaller: -1 or 3/88885? -1 Which is greater: 13854 or 2? 13854 Which is smaller: -27679 or -27681? -27681 Which is smaller: 37877/2 or 18938? 18938 Are 399024 and 399026 nonequal? True Which is bigger: -15507 or -15551? -15507 Which is greater: 267219 or 267217? 267219 Which is bigger: 1 or 3/31346? 1 Is -2311247 smaller than -2311247? False Which is smaller: 46232 or 0? 0 Which is smaller: -26/9463 or -0.1? -0.1 Does 321 = 4188/13? False Is 1 less than or equal to 510/341? True Which is greater: -1754/165 or -10? -10 Which is smaller: -3734/849 or 1? -3734/849 Is 1 < -104/2159? False Is -320701 at most as big as -320701? True Is -1 != -1/2904187? True Are -617/10 and -61 nonequal? True Is
{ "pile_set_name": "DM Mathematics" }