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math

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[ { "from": "human", "value": "Factor 3*o**2 + 201*o." }, { "from": "gpt", "value": "3*o*(o + 67)" } ]
[ { "from": "human", "value": "Is 8 a factor of 216?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 38557 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 0 = 3*q + 5*d - 19, -5*d + 0*d + 10 = 0 for q." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 6*j + 5*i = j + 475, 4*i + 292 = 3*j. Let f be j/44 - 4/22. Do 2 and f have different values?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "5 divided by -951" }, { "from": "gpt", "value": "-5/951" } ]
[ { "from": "human", "value": "Let u be (-10)/2 - (-1 + -1). Let a(x) be the second derivative of -x**4/24 + x**3/6 + x**2/2 + x. Let p(t) be the first derivative of a(t). Determine p(u)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate 5*(-18)/(-60)*-2." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Convert 4 (base 13) to base 7." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let y(d) = -4*d**2 + 4*d - 8. Let o(b) = 16*b**2 - 17*b + 33. Determine -2*o(z) - 9*y(z)." }, { "from": "gpt", "value": "4*z**2 - 2*z + 6" } ]
[ { "from": "human", "value": "Let d = -0.043 - 19.957. Let h = d + 14. Which is smaller: 1 or h?" }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "Let j(d) be the third derivative of -d**8/10080 - d**7/2268 - d**6/1620 + d**4/12 + d**2. Let r(k) be the second derivative of j(k). Factor r(q)." }, { "from": "gpt", "value": "-2*q*(q + 1)*(3*q + 2)/9" } ]
[ { "from": "human", "value": "Let k = 255 - 249. Let m be 21/k*(-374)/(-77). Calculate the greatest common divisor of 697 and m." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "What is 72.0976nm in meters?" }, { "from": "gpt", "value": "0.0000000720976" } ]
[ { "from": "human", "value": "In base 13, what is 5b + 6?" }, { "from": "gpt", "value": "64" } ]
[ { "from": "human", "value": "What is the l'th term of -6, -63, -226, -549, -1086, -1891, -3018?" }, { "from": "gpt", "value": "-9*l**3 + l**2 + 3*l - 1" } ]
[ { "from": "human", "value": "Let a(f) be the third derivative of f**9/1512 - f**6/90 + f**3 + 8*f**2. Let d(g) be the first derivative of a(g). Find the third derivative of d(z) wrt z." }, { "from": "gpt", "value": "120*z**2" } ]
[ { "from": "human", "value": "What is the g'th term of -17, -36, -55?" }, { "from": "gpt", "value": "2 - 19*g" } ]
[ { "from": "human", "value": "Suppose -5*t - 2 = -17. What is the third derivative of -o**2 + 5*o**t + o**3 - 2*o**2 wrt o?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Solve 2*j + 4*c - 6 = 0, c = 4*j - 4*c + 40 for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 3*o = 8*o - 10. Suppose -o*k - 2*b = 0, -5*k - 2*b + b = 12. Is -3 smaller than k?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let n = -12 + 8. Which is the second smallest value? (a) n (b) 1 (c) -0.4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the seventh root of 655 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let w = -1 + 1. Suppose -10 = 5*z + 4*h, -2*z + 7*h - 3*h - 4 = 0. Let n = w - z. Solve -n*b + 3*s = 8, -2*s + 10 = 3*s for b." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the next term in -456, -463, -470?" }, { "from": "gpt", "value": "-477" } ]
[ { "from": "human", "value": "What is the square root of 17966 to the nearest integer?" }, { "from": "gpt", "value": "134" } ]
[ { "from": "human", "value": "Let r(a) = a**3 + 6*a**2 + 7*a. Let g be r(-4). Solve -g*b - 8 - 8 = 0 for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What comes next: 638, 628, 632, 656, 706, 788, 908, 1072?" }, { "from": "gpt", "value": "1286" } ]
[ { "from": "human", "value": "Solve 3*k**2 - 185*k - 62 = 0." }, { "from": "gpt", "value": "-1/3, 62" } ]
[ { "from": "human", "value": "Solve 23*j + 27 = -88 for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is ((-8)/3)/(860/(-387))?" }, { "from": "gpt", "value": "6/5" } ]
[ { "from": "human", "value": "Let u be 0 - (-11)/(11/126). Let k(c) = 2*c - 10. Let l be k(7). Suppose 20 = 2*z + l*o - 2*o, 0 = 2*z - 3*o - 40. What is the highest common factor of z and u?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "What is the remainder when 146759 is divided by 73346?" }, { "from": "gpt", "value": "67" } ]
[ { "from": "human", "value": "List the prime factors of 59757." }, { "from": "gpt", "value": "3, 19919" } ]
[ { "from": "human", "value": "What is the o'th term of 3268, 3269, 3270?" }, { "from": "gpt", "value": "o + 3267" } ]
[ { "from": "human", "value": "Differentiate 10*t + 21 - 35 + 17 wrt t." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "How many minutes are there between 5:39 AM and 12:29 PM?" }, { "from": "gpt", "value": "410" } ]
[ { "from": "human", "value": "What is 1212 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Suppose z**5 - 457*z**4 + 52440*z**3 - 51984*z**2 = 0. Calculate z." }, { "from": "gpt", "value": "0, 1, 228" } ]
[ { "from": "human", "value": "Solve o - 2*t - 2 = -0*o, -o - 1 = t for o." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -2*h + 4 = 3*l - 11, 3*h - 24 = -5*l for h." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 15, what is 4d0 + 5?" }, { "from": "gpt", "value": "4d5" } ]
[ { "from": "human", "value": "Find v such that -3*v**5 + 102*v**4 + 582*v**3 + 180*v**2 - 2403*v - 2106 = 0." }, { "from": "gpt", "value": "-3, -1, 2, 39" } ]
[ { "from": "human", "value": "Let u = 8 + -5. Is u a multiple of 3?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the next term in -205, -1658, -5597, -13264, -25901, -44750, -71053, -106052?" }, { "from": "gpt", "value": "-150989" } ]
[ { "from": "human", "value": "Let o = 12 + -9. Let i(c) = -2*c - 3. Let h be i(o). Is (8 - -1)*(-24)/h a multiple of 13?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the q'th term of 16, 43, 96, 181, 304?" }, { "from": "gpt", "value": "q**3 + 7*q**2 - q + 9" } ]
[ { "from": "human", "value": "In base 9, what is 12 - 363?" }, { "from": "gpt", "value": "-351" } ]
[ { "from": "human", "value": "Simplify -4 + (sqrt(19) + (1 + sqrt(19) + sqrt(19))*6 - 6*sqrt(76)/sqrt(4))." }, { "from": "gpt", "value": "2 + 7*sqrt(19)" } ]
[ { "from": "human", "value": "Let v = -6.93 + 7. Let f = 2.07 - v. Let y = f + -2.5. Which is the smallest value? (a) 2 (b) 0.5 (c) y" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the w'th term of -787, -1574, -2361, -3148, -3935?" }, { "from": "gpt", "value": "-787*w" } ]
[ { "from": "human", "value": "Suppose -10*i + 19*i + 18 = 0. Let m = -0.3 - -0.7. What is the closest to 0.1 in m, -1/8, i?" }, { "from": "gpt", "value": "-1/8" } ]
[ { "from": "human", "value": "Solve 18*o - 13*o = 0 for o." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Round 66.1461 to the nearest 100." }, { "from": "gpt", "value": "100.0" } ]
[ { "from": "human", "value": "Let w be ((-1)/(-2))/(8/64). Let f(p) be the third derivative of -1/120*p**6 + 0*p**w + 0*p**3 + 0*p + p**2 - 1/336*p**8 - 1/105*p**7 + 0*p**5 + 0. Factor f(h)." }, { "from": "gpt", "value": "-h**3*(h + 1)**2" } ]
[ { "from": "human", "value": "Work out 0.4 * -6.181." }, { "from": "gpt", "value": "-2.4724" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 96 and 5920." }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "Let x = -8 + 3. What is the third smallest value in 0.1, x, -1/4?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "What is the fourth smallest value in 1, -0.2, 2, -32?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the least common multiple of 72 and 1104?" }, { "from": "gpt", "value": "3312" } ]
[ { "from": "human", "value": "Let z = -120 - -115. Which is the biggest value? (a) 0.3 (b) z (c) 1/7" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Determine g so that 32*g**5 + 9392*g**4 + 686786*g**3 - 345156*g**2 + 43218*g = 0." }, { "from": "gpt", "value": "-147, 0, 1/4" } ]
[ { "from": "human", "value": "Express (0 + 1 - 3)*(-253 + 127 + 127 + q) as w*q + c and give c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is (-2780)/(-36) + (-8)/36 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -4*p - p - 189 = -2*b, -p = 3*b - 275. Does 4 divide b?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Find the common denominator of 21/68 and 117/340." }, { "from": "gpt", "value": "340" } ]
[ { "from": "human", "value": "Let h be (-1)/2 - 3/(-6). Suppose 3*g + h*g - 9 = 0. Solve -g*z + 5 - 17 = 0 for z." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is -3 (base 14) in base 16?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve -26*w = -27*w - 7 for w." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 195 and 15." }, { "from": "gpt", "value": "195" } ]
[ { "from": "human", "value": "Convert 234032.49 nanoseconds to minutes." }, { "from": "gpt", "value": "0.0000039005415" } ]
[ { "from": "human", "value": "Let s = -15 + 11. List the prime factors of 28/(s/(-3 - -1))." }, { "from": "gpt", "value": "2, 7" } ]
[ { "from": "human", "value": "What is next in -4766, -4767, -4768?" }, { "from": "gpt", "value": "-4769" } ]
[ { "from": "human", "value": "Determine z so that 2*z**2/3 - 1552*z/3 = 0." }, { "from": "gpt", "value": "0, 776" } ]
[ { "from": "human", "value": "Let l be (2/(-4))/((-13)/130). Sort 4, 1/4, l, 6 in increasing order." }, { "from": "gpt", "value": "1/4, 4, l, 6" } ]
[ { "from": "human", "value": "Let x be -1 + (-5 - -2)*-1. Suppose -32 = -x*q - 0. Is 6 a factor of q?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor 2/17*h**2 - 4/17 + 2/17*h." }, { "from": "gpt", "value": "2*(h - 1)*(h + 2)/17" } ]
[ { "from": "human", "value": "Let j = 1/5 + -7/10. What is the closest to -1/2 in j, 5, 0.1?" }, { "from": "gpt", "value": "j" } ]
[ { "from": "human", "value": "Calculate -120 - -112 - (-2 - (-1 - -3))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the value of (-8)/20 - (-30)/75?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let n = 0.36 + 0.04. Which is the nearest to -2/9? (a) 0.5 (b) n (c) -3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let -c**3/3 + 19*c**2/3 - 35*c/3 + 17/3 = 0. Calculate c." }, { "from": "gpt", "value": "1, 17" } ]
[ { "from": "human", "value": "In base 15, what is 2 - 3?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 24 divided by 8?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Sum -224 and -1.7." }, { "from": "gpt", "value": "-225.7" } ]
[ { "from": "human", "value": "Differentiate 9 - 67*c with respect to c." }, { "from": "gpt", "value": "-67" } ]
[ { "from": "human", "value": "Let p(d) be the third derivative of -3*d**2 + 0*d**3 + 0 - 1/120*d**6 + 0*d - 1/24*d**4 + 1/30*d**5. Let x be p(1). Solve x = 3*n - n for n." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 0 = 4*h, 8*c - 3*h = 3*c + 20 for c." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let c(p) be the first derivative of 0*p + 1/15*p**5 - 2 - 1/12*p**4 - 1/9*p**3 + 1/6*p**2. Factor c(f)." }, { "from": "gpt", "value": "f*(f - 1)**2*(f + 1)/3" } ]
[ { "from": "human", "value": "Divide -14 by -14." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Collect the terms in 3*l - 2*l**3 - 3*l - 10*l**3 + 10*l**3." }, { "from": "gpt", "value": "-2*l**3" } ]
[ { "from": "human", "value": "What is the closest to -2 in 1/10, 9, 1/2, 3?" }, { "from": "gpt", "value": "1/10" } ]
[ { "from": "human", "value": "What is the next term in 312, 623, 934, 1245?" }, { "from": "gpt", "value": "1556" } ]
[ { "from": "human", "value": "Total of 3671 and -0.35." }, { "from": "gpt", "value": "3670.65" } ]
[ { "from": "human", "value": "Calculate 5 - ((-9 - -8) + 13)." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Calculate 579 divided by -193." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the d'th term of -5, -6, -7?" }, { "from": "gpt", "value": "-d - 4" } ]
[ { "from": "human", "value": "Simplify ((g/g**(-1)*g)/(g*g**0*g*g))/((g**1*g)/(g**(-6)/g*g)) assuming g is positive." }, { "from": "gpt", "value": "g**(-8)" } ]
[ { "from": "human", "value": "Let o be 14 + (-2)/((-2)/1). Suppose -y = 2*y - o. List the prime factors of -2 + y - 6/(-2)." }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "What comes next: 124, 124, 126, 130?" }, { "from": "gpt", "value": "136" } ]