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[ { "from": "human", "value": "Find the second derivative of -i**3*o*p + 20*i**2*o*p**2 + 17*i*o*p**2 - 2*o*p**2 wrt i." }, { "from": "gpt", "value": "-6*i*o*p + 40*o*p**2" } ]
[ { "from": "human", "value": "Is 2949829 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let r = -5 - -11. Suppose 4*g + w + 21 = r*w, 0 = 4*g - 2*w + 6. Suppose -4*z + 2*z = -2. Solve -g = -i + z for i." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Factor 4*k**2 - 4720*k + 1392400." }, { "from": "gpt", "value": "4*(k - 590)**2" } ]
[ { "from": "human", "value": "-0.033 times 49" }, { "from": "gpt", "value": "-1.617" } ]
[ { "from": "human", "value": "Which is smaller: 27 or 2?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate 8 + -15 + 2 + 11." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let t = -0.2 + 0.25. What is the smallest value in -1/4, t, 1/5?" }, { "from": "gpt", "value": "-1/4" } ]
[ { "from": "human", "value": "Does 16 divide 1856?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor 3*q**4 - 105*q**3 - 9*q**2 + 309*q + 210." }, { "from": "gpt", "value": "3*(q - 35)*(q - 2)*(q + 1)**2" } ]
[ { "from": "human", "value": "Suppose -4*g + 37 + 19 = 0. Suppose 12*n - 5*n - 7 = 0. What is the lowest common multiple of 8*n + (8 - 12) and g?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Find the first derivative of 1049 - 3150*g**4 wrt g." }, { "from": "gpt", "value": "-12600*g**3" } ]
[ { "from": "human", "value": "Let a(p) = 2*p**2 + 76*p - 14. Calculate a(-37)." }, { "from": "gpt", "value": "-88" } ]
[ { "from": "human", "value": "Factor 2*x**3 - 4*x**2 - 5 + 0*x**3 + 6*x**2 - 3 - 8*x." }, { "from": "gpt", "value": "2*(x - 2)*(x + 1)*(x + 2)" } ]
[ { "from": "human", "value": "Solve 16*k + 11 = 15*k - 5*g, 7 = k - g for k." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Product of 4 and 3.3." }, { "from": "gpt", "value": "13.2" } ]
[ { "from": "human", "value": "Let n = 183/4 + -46. Which is bigger: 13 or n?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What is 17558 divided by -5?" }, { "from": "gpt", "value": "-17558/5" } ]
[ { "from": "human", "value": "Let b = -177 - -201. Calculate the remainder when b is divided by 15." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Simplify -4*(2*sqrt(192) + sqrt(192))**2*3." }, { "from": "gpt", "value": "-20736" } ]
[ { "from": "human", "value": "Is 1879829 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Divide -10 by 5689." }, { "from": "gpt", "value": "-10/5689" } ]
[ { "from": "human", "value": "Differentiate 24*p**2*r + 99*p*r**2 + 269*p*v**2 - 12522*r**2*v - 80*r*v**2 - 4*v wrt p." }, { "from": "gpt", "value": "48*p*r + 99*r**2 + 269*v**2" } ]
[ { "from": "human", "value": "What is the second derivative of 5689*l**4 - 2841*l wrt l?" }, { "from": "gpt", "value": "68268*l**2" } ]
[ { "from": "human", "value": "What is the second smallest value in 1, 17, 0.29?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Differentiate -173*u**2*x - 1446*u**2 + 108253*u*x**4 - 10*u - 10 with respect to x." }, { "from": "gpt", "value": "-173*u**2 + 433012*u*x**3" } ]
[ { "from": "human", "value": "Which is the nearest to 0.1? (a) 1.1 (b) 5 (c) -0.4 (d) -0.5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Sort 1/9, -0.02, 4, -1/5, 11/5 in decreasing order." }, { "from": "gpt", "value": "4, 11/5, 1/9, -0.02, -1/5" } ]
[ { "from": "human", "value": "Calculate (-2*1)/((-10)/40*-28)." }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Suppose 0 = -11*a + 16*a - 10. Solve 3*h - 4*h - 2 = a*u, -2*u - 3*h + 2 = 0 for u." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let g(l) = l**2 + 10*l - 10. Let d be g(-12). Which is the second biggest value? (a) -1/3 (b) d (c) 0.4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Which is the closest to -1? (a) -7 (b) -0.5 (c) -4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let z be (-5)/(-8)*(-8)/(-20). Which is the closest to z? (a) -1 (b) -0.2 (c) 2/11" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let j be 1 - -2*(1 - 0). Find the third derivative of -1 + j*k**5 - 2*k**2 + 1 - 2*k**2 wrt k." }, { "from": "gpt", "value": "180*k**2" } ]
[ { "from": "human", "value": "In base 2, what is -100101101 - -10?" }, { "from": "gpt", "value": "-100101011" } ]
[ { "from": "human", "value": "((-7)/(462/(-55)))/(-5)" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Let c(k) = 3*k**2. Let l be c(-1). Sort 0, -0.2, l." }, { "from": "gpt", "value": "-0.2, 0, l" } ]
[ { "from": "human", "value": "Let r be 3 + (-21)/((-9)/3). Is 13 a factor of (-15)/r*(-52)/6?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 19 - 215.7?" }, { "from": "gpt", "value": "-196.7" } ]
[ { "from": "human", "value": "Simplify (sqrt(50) + 2*sqrt(50) - sqrt(50))/sqrt(10) - (-2*sqrt(45))**2." }, { "from": "gpt", "value": "-180 + 2*sqrt(5)" } ]
[ { "from": "human", "value": "Let i(h) = 3*h - 7. Let u be i(3). Determine o, given that -3*o**4 - o - 6*o**4 + 3*o**4 + 2*o**u + o**5 + 4*o**4 = 0." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "What is the product of 2 and 77?" }, { "from": "gpt", "value": "154" } ]
[ { "from": "human", "value": "Product of -2 and 1.5." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 12, what is 12 + 7?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Solve -39*j = -10*j + 116 for j." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let h = -12 + 13. Let x = h + 0. Let v = 0.4 - 0.8. What is the smallest value in v, -5, x?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the fifth smallest value in 9, -1, 1/4, 1.1, 4?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Calculate 217 divided by 7." }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "Is -2285978 equal to -81?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let k(z) be the third derivative of -13*z**5/30 - 5*z**4/8 + 45*z**2. What is the second derivative of k(y) wrt y?" }, { "from": "gpt", "value": "-52" } ]
[ { "from": "human", "value": "What is the next term in -10, 7, 50, 131, 262, 455, 722?" }, { "from": "gpt", "value": "1075" } ]
[ { "from": "human", "value": "Evaluate ((-348)/(-232))/(6/(-4))." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -4*a + 4 + 8 = 0. Suppose 30 = -0*j + 5*j - q, a*q + 15 = 0. Does 5 divide j?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Sort 4, -37, 1 in ascending order." }, { "from": "gpt", "value": "-37, 1, 4" } ]
[ { "from": "human", "value": "Let y be 1/(-5) - (-12)/(-20). Which is the third biggest value? (a) 0.1 (b) -0.3 (c) y" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose -4*v + 24 = 2*x, 5*v - 3 = 4*x + 14. Suppose 0 = 5*g - v - 15. Put 0, -2, g in descending order." }, { "from": "gpt", "value": "g, 0, -2" } ]
[ { "from": "human", "value": "In base 13, what is -4 + -11?" }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "5 (base 13) to base 3" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Suppose -2*b**5 - 282*b**4 + 572*b**3 - 4*b**2 - 570*b + 286 = 0. What is b?" }, { "from": "gpt", "value": "-143, -1, 1" } ]
[ { "from": "human", "value": "Let k(z) = -2*z**2 + 16*z - 1. Let g be k(7). Solve w - 3*f - g = -3, 0 = -w - 5*f - 6 for w." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify (sqrt(114)*1*-2)/sqrt(6)." }, { "from": "gpt", "value": "-2*sqrt(19)" } ]
[ { "from": "human", "value": "Calculate 0.2*-0.029." }, { "from": "gpt", "value": "-0.0058" } ]
[ { "from": "human", "value": "Suppose -3*m - 5*d + 169 = 0, -3*d = 3*m - 903 + 738. What is the greatest common factor of 1537 and m?" }, { "from": "gpt", "value": "53" } ]
[ { "from": "human", "value": "Solve 7*o + 2*a = 2*o - 25, 3*o = 2*a - 15 for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let f = 1/2 - -1/6. Determine r, given that 0 + 1/3*r**5 - 1/3*r + f*r**2 + 0*r**3 - 2/3*r**4 = 0." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Let a(w) be the first derivative of 0*w**3 + 1 + 1/12*w**4 - 2*w + w**2. Let z(m) be the first derivative of a(m). Find the first derivative of z(d) wrt d." }, { "from": "gpt", "value": "2*d" } ]
[ { "from": "human", "value": "Let h = 2 - 0. Suppose 59 = 5*y - a, 2*y - 6 = -2*a - h*a. List the prime factors of y." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is the value of -1 - 1*(-1)/(-2)*-2?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -33 minus 51?" }, { "from": "gpt", "value": "-84" } ]
[ { "from": "human", "value": "Suppose -3*j = 4*q - 4*j - 4, 4*j = 16. Let m(x) = x + 2 + 3*x**2 - 7*x**q + 3 - x**3. Determine m(-4)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let t = 6 - 10. Let w = -4 - t. Suppose -6*h + 4*h + 40 = w. What are the prime factors of h?" }, { "from": "gpt", "value": "2, 5" } ]
[ { "from": "human", "value": "In base 13, what is c - -74?" }, { "from": "gpt", "value": "83" } ]
[ { "from": "human", "value": "Sort 92, -0.5, 2 in ascending order." }, { "from": "gpt", "value": "-0.5, 2, 92" } ]
[ { "from": "human", "value": "In base 3, what is 12021 - -20?" }, { "from": "gpt", "value": "12111" } ]
[ { "from": "human", "value": "Evaluate (-2 + 72/30)/((-119)/85)." }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "What is the third derivative of -89*a**3*w**3*x - 2*a**2*w**3*x - 2*a**2*w*x - 2*a*w**3*x + 80*w wrt a?" }, { "from": "gpt", "value": "-534*w**3*x" } ]
[ { "from": "human", "value": "-48 divided by -16" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the w'th term of -9, -19, -35, -57, -85?" }, { "from": "gpt", "value": "-3*w**2 - w - 5" } ]
[ { "from": "human", "value": "What is the value of -5*(9/(-195))/(6/4)?" }, { "from": "gpt", "value": "2/13" } ]
[ { "from": "human", "value": "Let y(u) = 5*u**3 + 2*u**2 - 4*u + 2. Let l be y(1). Solve 10 = l*w, 3*w + 4 + 2 = 4*h for h." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is smaller: 56 or 51?" }, { "from": "gpt", "value": "51" } ]
[ { "from": "human", "value": "What is the remainder when 4748 is divided by 35?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Add together 595673 and 5." }, { "from": "gpt", "value": "595678" } ]
[ { "from": "human", "value": "Let q(c) = -c**3 + c**2 - 3*c + 19. Let k be q(0). Suppose -1041 = -5*g - 2*a, -2*a = 3*g - a - 625. What is the highest common divisor of k and g?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Suppose 27 = -v - 3*u, 3*v + 29 = 5*u - 66. Let b = -15 - v. Suppose -b - 10 = -5*n. Put n, -0.2, -2 in descending order." }, { "from": "gpt", "value": "n, -0.2, -2" } ]
[ { "from": "human", "value": "Factor -3*u**2 - 762*u - 48387." }, { "from": "gpt", "value": "-3*(u + 127)**2" } ]
[ { "from": "human", "value": "What is 4077500 rounded to the nearest 10000?" }, { "from": "gpt", "value": "4080000.0" } ]
[ { "from": "human", "value": "Solve -11 = -12*z + 10*z + g, 3*z - 27 = 5*g for z." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "2*2 + 12/(144/(-42))" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Factor 2*o**2 + 4*o + 2." }, { "from": "gpt", "value": "2*(o + 1)**2" } ]
[ { "from": "human", "value": "Simplify (s**4*s)/(s/(s**(-19)*s)*s) assuming s is positive." }, { "from": "gpt", "value": "s**(-15)" } ]
[ { "from": "human", "value": "What is 69 divided by 16?" }, { "from": "gpt", "value": "69/16" } ]
[ { "from": "human", "value": "What is -16 - (-15 + 11) - (0 + -7)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Divide -34421 by 6." }, { "from": "gpt", "value": "-34421/6" } ]
[ { "from": "human", "value": "Suppose -9 = -0*r - 3*r. Let l = 1 + 0. Let p = l + 0. Solve n - p = -r for n." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 6, what is 4 - 525?" }, { "from": "gpt", "value": "-521" } ]
[ { "from": "human", "value": "What comes next: -11, -39, -69, -101, -135, -171?" }, { "from": "gpt", "value": "-209" } ]
[ { "from": "human", "value": "Suppose -4*v = v. Let u = 5 + v. Suppose -2*n = 2*i + n - 7, 4*n = -u*i + 28. What is the greatest common factor of 20 and i?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve -15*j + 32 = -13 for j." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Evaluate 1 + 0 + -22 + 13." }, { "from": "gpt", "value": "-8" } ]