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math

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[ { "from": "human", "value": "Let o(l) = -16*l**2 + 3*l - 4. Calculate o(1)." }, { "from": "gpt", "value": "-17" } ]
[ { "from": "human", "value": "What is the seventh root of 7575 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is -0.3 take away 1516.32?" }, { "from": "gpt", "value": "-1516.62" } ]
[ { "from": "human", "value": "Suppose -2*c = 9 - 25. Solve -2*g + c = y - 0, 4*y + 8 = 2*g for g." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the second biggest value in -0.3, -2, -51/5, 0.5?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "Factor -3*m**3 - 39*m**2 - 132*m - 96." }, { "from": "gpt", "value": "-3*(m + 1)*(m + 4)*(m + 8)" } ]
[ { "from": "human", "value": "Let d(z) = -z**2 + 8*z + 2. Let a be d(7). Let m(r) = r - 3. Let i be m(a). Solve -5*p - 17 = 4*k, 0 = k - i*k - 15 for p." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is greater: 4/73 or 2?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let x(w) = -73*w - 65. Let c(m) = 18*m + 16. Let g(f) = 9*c(f) + 2*x(f). What is the derivative of g(n) wrt n?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "What is the value of ((-144)/504)/(((-8)/(-32)*15)/((-7)/(-12)))?" }, { "from": "gpt", "value": "-2/45" } ]
[ { "from": "human", "value": "Expand (1 - 2 + 3)*(0*x**4 - 4*x**4 + 2*x**4) - x**4 + 3*x**4 - 4*x**4 + x**4 - x**4 + 2*x**4 + (x**4 - 3*x**4 + x**4)*(0 - 2 + 1) + 11*x**4 + 17*x**4 - 4*x**4." }, { "from": "gpt", "value": "21*x**4" } ]
[ { "from": "human", "value": "-5 + 2 - (1 + (-26)/7)" }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Evaluate (-8 - -1 - -5) + -3." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Round -0.008376 to four dps." }, { "from": "gpt", "value": "-0.0084" } ]
[ { "from": "human", "value": "Let i(j) = 570 - 855*j. Let b(m) = 2. Determine -285*b(s) + i(s)." }, { "from": "gpt", "value": "-855*s" } ]
[ { "from": "human", "value": "Solve -9*b + 12*b = -3 for b." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Simplify ((3 + sqrt(27))*-3 + 2)**2." }, { "from": "gpt", "value": "126*sqrt(3) + 292" } ]
[ { "from": "human", "value": "Suppose -2*r - 5*l + 7 = -0, -12 = 4*l. Factor 1/2*j**4 - 4*j**3 + r*j**2 - 12*j + 9/2." }, { "from": "gpt", "value": "(j - 3)**2*(j - 1)**2/2" } ]
[ { "from": "human", "value": "What is 0.405 + 0.5?" }, { "from": "gpt", "value": "0.905" } ]
[ { "from": "human", "value": "Factor 19*k**3 - 62*k**2 + 67*k - 24." }, { "from": "gpt", "value": "(k - 1)**2*(19*k - 24)" } ]
[ { "from": "human", "value": "Let d = 0.01 - 24.01. Is -2 >= d?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate ((-1)/6 + -21 + 21)*-4." }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "Let l be -1*143*(2 - 3). Let a(m) = m**2 + 4*m - 8. Let i be a(3). Calculate the greatest common divisor of i and l." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Let i(k) be the second derivative of -k**3/6 + 14*k. Let q(x) = -10*x**2. Calculate i(q(u))." }, { "from": "gpt", "value": "10*u**2" } ]
[ { "from": "human", "value": "What is the next term in 739, 747, 767, 805, 867, 959, 1087, 1257?" }, { "from": "gpt", "value": "1475" } ]
[ { "from": "human", "value": "What is the square root of 47490 to the nearest integer?" }, { "from": "gpt", "value": "218" } ]
[ { "from": "human", "value": "What is 104 minutes before 3:18 AM?" }, { "from": "gpt", "value": "1:34 AM" } ]
[ { "from": "human", "value": "Is 65761 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "-0.4 times 2.9" }, { "from": "gpt", "value": "-1.16" } ]
[ { "from": "human", "value": "Simplify 4 + (-1*(sqrt(77) + sqrt(77)*-1 - sqrt(77)) - -2*sqrt(77)*3)/((-1*sqrt(175) - sqrt(175))*-1 - sqrt(175))." }, { "from": "gpt", "value": "4 + 7*sqrt(11)/5" } ]
[ { "from": "human", "value": "What is the remainder when 3398 is divided by 30?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Calculate the remainder when 1312 is divided by 47." }, { "from": "gpt", "value": "43" } ]
[ { "from": "human", "value": "Let f = 3 + -1. Let s be 1 + -5 + 58/10 + -1. Solve 4/5*c**3 + 2/5 - 2/5*c**f - s*c = 0 for c." }, { "from": "gpt", "value": "-1, 1/2, 1" } ]
[ { "from": "human", "value": "What is 1 (base 5) in base 12?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the p'th term of -12036, -12033, -12028, -12021, -12012, -12001, -11988?" }, { "from": "gpt", "value": "p**2 - 12037" } ]
[ { "from": "human", "value": "Let o(i) = 4 - 2*i. Let h be o(2). What is the common denominator of (-156)/(-32) - (-3 + h) and -5/16?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "What is 82.90749 centuries in years?" }, { "from": "gpt", "value": "8290.749" } ]
[ { "from": "human", "value": "Let i be (-28)/(1/(2/(-4))). Suppose -4*z + x - i = 0, 3*z - 5*x = 4 - 6. Let g = z + 11. What is the greatest common factor of g and 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let n(k) = k**3 + 13*k**2 - 2*k - 10. Give n(-13)." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "-3 (base 11) to base 14" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "How many millilitres are there in one tenth of a litre?" }, { "from": "gpt", "value": "100" } ]
[ { "from": "human", "value": "Sort -0.2, -1, 4, -0.21 in descending order." }, { "from": "gpt", "value": "4, -0.2, -0.21, -1" } ]
[ { "from": "human", "value": "Factor 0*d - 1/9*d**5 + 0*d**2 - 1/3*d**4 + 0 - 2/9*d**3." }, { "from": "gpt", "value": "-d**3*(d + 1)*(d + 2)/9" } ]
[ { "from": "human", "value": "Let t(i) be the second derivative of 0*i**3 + 2*i - 1/36*i**4 + 1/180*i**5 + 0 - 1/2*i**2. Let z(s) be the first derivative of t(s). Factor z(k)." }, { "from": "gpt", "value": "k*(k - 2)/3" } ]
[ { "from": "human", "value": "Let -3*r**4 + 390*r**3 - 1152*r**2 + 1146*r - 381 = 0. Calculate r." }, { "from": "gpt", "value": "1, 127" } ]
[ { "from": "human", "value": "Divide -8057 by 4." }, { "from": "gpt", "value": "-8057/4" } ]
[ { "from": "human", "value": "What is the hundred thousands digit of 247111282?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate the remainder when 385 is divided by 85." }, { "from": "gpt", "value": "45" } ]
[ { "from": "human", "value": "What is the hundreds digit of 3666?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the g'th term of -1, 48, 97?" }, { "from": "gpt", "value": "49*g - 50" } ]
[ { "from": "human", "value": "Suppose 12*j + 1 = 11*j. Let g(z) = 0*z**2 - 3*z**3 + 2*z**3 + z - z**2. Let q be g(j). Put q, -3, -4 in decreasing order." }, { "from": "gpt", "value": "q, -3, -4" } ]
[ { "from": "human", "value": "Let d = -94 - -178. Does 9 divide d/8*(-1 + 3)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is 346 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the third derivative of -49*j*r**6 - 2*j*r**3 + 3*j*r**2 - 98*j + r**4 wrt r." }, { "from": "gpt", "value": "-5880*j*r**3 - 12*j + 24*r" } ]
[ { "from": "human", "value": "Suppose 3*k = 4*k - 7. Suppose -2*f + 4*f = 4. Suppose 0 = -z - s + 61, 0*z = 5*z - f*s - 319. Calculate the greatest common factor of k and z." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let g(h) = -5*h - 3. Let v(q) = -4*q - 2. Let m(a) = 2*g(a) - 3*v(a). Let y(x) = 8*x. What is y(m(r))?" }, { "from": "gpt", "value": "16*r" } ]
[ { "from": "human", "value": "Suppose q = m - 4, -q = 2*q + 15. Let r = m - -2. Do 2 and r have different values?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 18936 rounded to the nearest one thousand?" }, { "from": "gpt", "value": "19000.0" } ]
[ { "from": "human", "value": "-1 (base 4) to base 11" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let d = -208 + 208.2. Which is the closest to 1? (a) d (b) -1 (c) -2/17" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is -6 divided by -900?" }, { "from": "gpt", "value": "1/150" } ]
[ { "from": "human", "value": "Round -0.0000009782 to seven decimal places." }, { "from": "gpt", "value": "-1e-06" } ]
[ { "from": "human", "value": "Calculate 10 - 16 - (-8 + 3 - 2)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 4*w + 15*n + 2 = 17*n, w - 3*n - 12 = 0 for w." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 15 + -118?" }, { "from": "gpt", "value": "-103" } ]
[ { "from": "human", "value": "Solve 5*d + 4*a + 5 = 2*a, -a - 10 = 5*d for d." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is (-56 + 52)/(-7*2/2)?" }, { "from": "gpt", "value": "4/7" } ]
[ { "from": "human", "value": "3/(-3)*(-3)/(3/(-1))" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let u(j) = -j**2 - 3*j + 3. Let s be u(-4). Let y = 3 + s. Suppose -4*v = -y*z + 113988, -3*z - v = -0*v - 171003. Round z to the nearest 10000." }, { "from": "gpt", "value": "60000.0" } ]
[ { "from": "human", "value": "What is 2 (base 12) in base 3?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate (-6 - -2) + 7 - 3." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Simplify (1*sqrt(2448))**2 + -4 + -4." }, { "from": "gpt", "value": "2440" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 3/7 (b) 1 (c) 0.07 (d) -0.1 (e) 5/3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let g = 8 + -6. Let d = g + -1. Is 3 equal to d?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Round -0.01496 to three dps." }, { "from": "gpt", "value": "-0.015" } ]
[ { "from": "human", "value": "Determine x, given that -3*x**5/7 + 18*x**4/7 + 9*x**3/7 - 156*x**2/7 + 180*x/7 = 0." }, { "from": "gpt", "value": "-3, 0, 2, 5" } ]
[ { "from": "human", "value": "In base 9, what is 883635555 - 3?" }, { "from": "gpt", "value": "883635552" } ]
[ { "from": "human", "value": "Which is the closest to 50? (a) 4/7 (b) -2/3 (c) -0.01" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Which is bigger: -42 or -31?" }, { "from": "gpt", "value": "-31" } ]
[ { "from": "human", "value": "Let x be (1 + 0 - 1)/1. Suppose x = -m - 0*m - 33. Let h = 60 + m. Is 11 a factor of h?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 3*s = 4*p - 15, p - s - 5 = 2*p. Let m be (0/1)/(1*2). Solve m = -4*n + 5*v - 2*v - 10, p = 2*n - v + 4 for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Evaluate 111/(-74)*(-8)/(-6)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is 31379 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Sort -1, 1/2, 91/4 in descending order." }, { "from": "gpt", "value": "91/4, 1/2, -1" } ]
[ { "from": "human", "value": "(-33)/(-22) - (-10)/(-4)" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let w(j) be the second derivative of -j**3/2 - 11*j**2/2 + 4*j. Let t be w(-8). Solve t = -4*d - 7 for d." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve -15*v - 20 - 10 = 0 for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let r = -6 + 6. Suppose 0 = -2*m - 5*n + 9, r = 2*m + 6*n - 5*n - 13. What is the units digit of m?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "-6400 + 3" }, { "from": "gpt", "value": "-6397" } ]
[ { "from": "human", "value": "In base 12, what is 3 - 1712b?" }, { "from": "gpt", "value": "-17128" } ]
[ { "from": "human", "value": "Let f be 66/(-28) + 25/10. Let y(a) be the first derivative of -3 - 2/21*a**3 + f*a**2 + 0*a. Solve y(i) = 0." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Solve -x - 25 = 5*p, -p - 2*x - 20 + 6 = 0 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let b(g) = -g - 5. Let x be b(-9). Put -2, x, -14 in decreasing order." }, { "from": "gpt", "value": "x, -2, -14" } ]
[ { "from": "human", "value": "Let u be (25/(-10))/(1/(-2)). Let r = u - -25. Is (r - (2 - 5)) + -1 a multiple of 10?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let a = 31.4 - 31. What is the third smallest value in -2/3, 0.8, a?" }, { "from": "gpt", "value": "0.8" } ]
[ { "from": "human", "value": "Collect the terms in -212*q**3 + 416*q**3 - 202*q**3." }, { "from": "gpt", "value": "2*q**3" } ]
[ { "from": "human", "value": "What is the highest common factor of 44 and 12?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Find the third derivative of -19 + 4*u**4 + 6*u**2 + 19 + u**4 wrt u." }, { "from": "gpt", "value": "120*u" } ]
[ { "from": "human", "value": "Let j = 3.95 - 3.9. What is the second smallest value in j, 0.2, 3?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "Let k = -32 - -32. Let q(d) be the third derivative of 0*d + 0*d**5 + 0*d**4 + k + 2*d**2 + 1/3*d**3 - 1/60*d**6. What is the derivative of q(i) wrt i?" }, { "from": "gpt", "value": "-6*i**2" } ]