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math

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[ { "from": "human", "value": "How many months are there in nineteen quarters of a century?" }, { "from": "gpt", "value": "5700" } ]
[ { "from": "human", "value": "Let d(r) = 0*r**2 + 4*r**2 - 3*r + 4*r - 4*r**3 + 3*r**3. Let u be d(4). Factor -6*t + u*t + 2 - 2 - 2*t**2." }, { "from": "gpt", "value": "-2*t*(t + 1)" } ]
[ { "from": "human", "value": "What is the third derivative of -17783*w - 141*w**3 + 1985*w**2 - 2053*w**3 + 17783*w + 2 wrt w?" }, { "from": "gpt", "value": "-13164" } ]
[ { "from": "human", "value": "How many millilitres are there in 10.4854l?" }, { "from": "gpt", "value": "10485.4" } ]
[ { "from": "human", "value": "Evaluate (0 + 0 - 1) + 1." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Simplify (-3*(sqrt(26)/sqrt(2)*5 - sqrt(13)))**2." }, { "from": "gpt", "value": "1872" } ]
[ { "from": "human", "value": "Let v = 41 - 37. Let r(d) be the second derivative of 2*d + 1/12*d**3 + 1/8*d**v + 0 + 0*d**2 - 1/10*d**5. Factor r(t)." }, { "from": "gpt", "value": "-t*(t - 1)*(4*t + 1)/2" } ]
[ { "from": "human", "value": "Solve 29*b - 2*b = 0 for b." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "How many minutes are there between 7:23 AM and 7:37 AM?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Let p be -1 + (-2 - -4) + 2. Let x = -15 + 4. Let t = -10 - x. Which is bigger: t or p?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "What is the distance between -0.31 and 115?" }, { "from": "gpt", "value": "115.31" } ]
[ { "from": "human", "value": "What is 5 - 2 - (-8 + 11 - -6)?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Calculate ((-13)/91)/((-2)/(-7))." }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "What is 1946 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "44" } ]
[ { "from": "human", "value": "What is -0.0004314 rounded to 4 decimal places?" }, { "from": "gpt", "value": "-0.0004" } ]
[ { "from": "human", "value": "Multiply -517 and -0.2." }, { "from": "gpt", "value": "103.4" } ]
[ { "from": "human", "value": "Evaluate -3 + 5 + -3 + 0." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Sort 2, -90, 3/8 in increasing order." }, { "from": "gpt", "value": "-90, 3/8, 2" } ]
[ { "from": "human", "value": "How many nanometers are there in 0.5993269cm?" }, { "from": "gpt", "value": "5993269" } ]
[ { "from": "human", "value": "What is the i'th term of 16487, 16488, 16489, 16490?" }, { "from": "gpt", "value": "i + 16486" } ]
[ { "from": "human", "value": "What is -10 - (4 + -14 + 1)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Find the third derivative of 4*c**6 - 26*c**3 + 503*c**2 wrt c." }, { "from": "gpt", "value": "480*c**3 - 156" } ]
[ { "from": "human", "value": "Solve 19*d - 17*d = 16 for d." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let w(f) = 3*f**2 + 2*f + 3. Let d(a) = -5*a**2 - 3*a - 4. Determine 5*d(p) + 7*w(p)." }, { "from": "gpt", "value": "-4*p**2 - p + 1" } ]
[ { "from": "human", "value": "In base 15, what is -4 + -e?" }, { "from": "gpt", "value": "-13" } ]
[ { "from": "human", "value": "Simplify (sqrt(26) - -2*sqrt(104)/sqrt(4) - sqrt(26))/(sqrt(50) - sqrt(800))." }, { "from": "gpt", "value": "-2*sqrt(13)/15" } ]
[ { "from": "human", "value": "Convert -13 (base 4) to base 7." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Suppose -4*n + 4*q + 8 = 0, 3*n - 5 - 3 = 5*q. Put n, -4, 0, -2 in increasing order." }, { "from": "gpt", "value": "-4, -2, 0, n" } ]
[ { "from": "human", "value": "Suppose 0 = -2*h + 5*h - 6. Solve -4*m + 5*g = 14, 0 = 3*m - 2*g + 9 - h for m." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 0.361 less than -197.9?" }, { "from": "gpt", "value": "-198.261" } ]
[ { "from": "human", "value": "Work out -0.4539 + -0.55." }, { "from": "gpt", "value": "-1.0039" } ]
[ { "from": "human", "value": "(56/70)/((-1)/5)" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "List the prime factors of 12721191." }, { "from": "gpt", "value": "3, 7, 31, 19541" } ]
[ { "from": "human", "value": "Suppose -y = 5*i - 17, 10 = -y - 0*y + 4*i. Let l be y/(-8)*2/(-4). Let h = 25/58 - -2/29. Which is the biggest value? (a) 2/9 (b) l (c) h" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve 3*f - 3*m - 9 = 0, f - 3*f + m + 2 = 0 for f." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the f'th term of 9259726, 18519581, 27779422, 37039243, 46299038, 55558801, 64818526?" }, { "from": "gpt", "value": "-f**3 - f**2 + 9259865*f - 137" } ]
[ { "from": "human", "value": "Factor 3*g**5/7 + 4188*g**4/7 + 1950210*g**3/7 + 303579900*g**2/7 + 301633875*g/7." }, { "from": "gpt", "value": "3*g*(g + 1)*(g + 465)**3/7" } ]
[ { "from": "human", "value": "What are the prime factors of 3606?" }, { "from": "gpt", "value": "2, 3, 601" } ]
[ { "from": "human", "value": "Let x = -102.7 - -102.9. What is the second biggest value in x, 0.4, -2/5?" }, { "from": "gpt", "value": "x" } ]
[ { "from": "human", "value": "List the prime factors of 1906." }, { "from": "gpt", "value": "2, 953" } ]
[ { "from": "human", "value": "Let a = 13.1 + -16. Let v = 3 + a. What is the third smallest value in -2/3, v, 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "15 divided by 23" }, { "from": "gpt", "value": "15/23" } ]
[ { "from": "human", "value": "What is the ten thousands digit of 139267?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let l(o) = o + 11. Let y be l(0). Is y + (-4)/((-16)/12) composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify (-2*sqrt(405)*2 - sqrt(405))**2 + (sqrt(15)/sqrt(3))**2*-4 + (-1 + sqrt(245))**2." }, { "from": "gpt", "value": "10351 - 14*sqrt(5)" } ]
[ { "from": "human", "value": "List the prime factors of 38068337." }, { "from": "gpt", "value": "709, 53693" } ]
[ { "from": "human", "value": "Differentiate 22*b*n - 8*b*s**2 - 18*n*s**2 + 18*s**2 with respect to n." }, { "from": "gpt", "value": "22*b - 18*s**2" } ]
[ { "from": "human", "value": "Let q(d) = 15 - d. Let c be q(10). Let v = -6 + c. Let r = 2 - v. Solve 6 = p + p + r*j, -4 = -p - 2*j for p." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let f = -1621 - -5959. Let d = 9504 - f. Let y = d - 3149. Is y composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let l(t) = 38*t**3 + 3*t**2 - 3*t - 3. What is the hundreds digit of l(2)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the value of ((-5)/4)/((-330)/2376)?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is next in 35, 32, 19, -10, -61?" }, { "from": "gpt", "value": "-140" } ]
[ { "from": "human", "value": "Let f(l) be the second derivative of l**5/20 + 7*l**4/12 + l**3 - l**2 - l. Calculate f(-6)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is 306 != -9?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -3*i - 2*u + 3*u - 13 = 0, 0 = 5*i + u + 19 for i." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 1079555 and 2840." }, { "from": "gpt", "value": "355" } ]
[ { "from": "human", "value": "Let o be 36/10*10/4. Let m = 35 - o. List the prime factors of m." }, { "from": "gpt", "value": "2, 13" } ]
[ { "from": "human", "value": "Let d be (-390)/(-70) + 2 + -7. Factor 2/7*w**3 - d + 4/7*w**2 - 2/7*w." }, { "from": "gpt", "value": "2*(w - 1)*(w + 1)*(w + 2)/7" } ]
[ { "from": "human", "value": "Suppose 0 = b - 3*h - 155, 0 = b + 5*h - 165 + 18. Calculate the greatest common divisor of b and 19." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "What is 3 (base 14) in base 7?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the hundreds digit of 563?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve -12 = -n - n for n." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let q(n) be the second derivative of -n**6/6 + n**5/4 + 20*n. Factor q(z)." }, { "from": "gpt", "value": "-5*z**3*(z - 1)" } ]
[ { "from": "human", "value": "What is 1.1561 less than 0.52?" }, { "from": "gpt", "value": "-0.6361" } ]
[ { "from": "human", "value": "Solve -33*n = -36*n + 21 for n." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Solve -9*a - 46 = -73 for a." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the value of (9 - -2) + -17 - (4 + -11)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate -15 + 1 - (-3 + -8)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the square root of 23512 to the nearest integer?" }, { "from": "gpt", "value": "153" } ]
[ { "from": "human", "value": "What is the y'th term of -188, -725, -1612, -2843, -4412, -6313, -8540, -11087?" }, { "from": "gpt", "value": "y**3 - 181*y**2 - y - 7" } ]
[ { "from": "human", "value": "Let z = 1.99 - -0.01. Let j = -12 + 7. What is the second smallest value in z, j, -5/2?" }, { "from": "gpt", "value": "-5/2" } ]
[ { "from": "human", "value": "Which is the nearest to -0.1? (a) -2/11 (b) 0 (c) -13/107 (d) 5 (e) -8" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Expand 273 - 32*q**3 - 273 + 2*q**3 + q**3 - q**3 + 4*q**3 - 2*q**3 - 3*q**3 + (-4 + 1 + 1)*(-4*q**2 - 2*q**3 + 4*q**2) - 5*q**3 + 2*q**3 + 2*q**3." }, { "from": "gpt", "value": "-28*q**3" } ]
[ { "from": "human", "value": "Let y(m) = -4*m - 16. Suppose -5*a - 48 - 32 = 0. Let t(r) = 1. Determine a*t(c) - y(c)." }, { "from": "gpt", "value": "4*c" } ]
[ { "from": "human", "value": "What is 25121724 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "5012" } ]
[ { "from": "human", "value": "List the prime factors of 36187." }, { "from": "gpt", "value": "36187" } ]
[ { "from": "human", "value": "Which is the nearest to 2? (a) 0.6 (b) 2/25 (c) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose 13 = -5*r + 68. Let u = r + -31/3. Let k = -30 + 30. Which is the third biggest value? (a) -5 (b) u (c) k (d) 3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 42039 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the f'th term of -47, -281, -921, -2171, -4235?" }, { "from": "gpt", "value": "-34*f**3 + f**2 + f - 15" } ]
[ { "from": "human", "value": "Let o be 42/9 - (-1)/3. Suppose 0*q - q = -5*g + 23, o*g - 27 = -q. Solve v + q + 2 = 0 for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate ((-18)/12 + (-425)/(-270))*3/(-2)." }, { "from": "gpt", "value": "-1/9" } ]
[ { "from": "human", "value": "Let z be 1 - (0 + (-3)/3). Suppose 0 = -z*w - 2, -w = c + w - 19. Is c a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the a'th term of 6, -36, -106, -204, -330?" }, { "from": "gpt", "value": "20 - 14*a**2" } ]
[ { "from": "human", "value": "What is the least common multiple of 516 and 516?" }, { "from": "gpt", "value": "516" } ]
[ { "from": "human", "value": "Collect the terms in 4142*c**3 + 446*c**3 - 981*c**3." }, { "from": "gpt", "value": "3607*c**3" } ]
[ { "from": "human", "value": "Suppose 5*j = 1 + 24, -4*v - j = -61. What are the prime factors of v?" }, { "from": "gpt", "value": "2, 7" } ]
[ { "from": "human", "value": "Divide 51 by 51." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 5 + -17 + 32 - 13?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Calculate 0 + (-4 - 1) + (11 - -1)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Calculate the remainder when 69 is divided by 23." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let g(f) = 6*f**3 + 8*f**2. Let u(i) = 6*i**3 + 8*i**2. Let r(c) = -6*g(c) + 5*u(c). Find the third derivative of r(z) wrt z." }, { "from": "gpt", "value": "-36" } ]
[ { "from": "human", "value": "What is the cube root of 31067 to the nearest integer?" }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "Suppose -2*i = -1 + 3. Let r = 6/23 - 8/23. Which is smaller: i or r?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "Calculate 9 - (2 + -5 + 4) - 3." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let x(r) = r**3 - 6*r**2 + 2*r + 7. Let g be x(5). Let h be ((-34)/4)/(4/g). Solve h = -l + 4*u, 0*u + 32 = -4*l + 4*u for l." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the remainder when 8083 is divided by 13?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Which is smaller: 606 or 3033/5?" }, { "from": "gpt", "value": "606" } ]
[ { "from": "human", "value": "What is the s'th term of 5, 13, 19, 23, 25?" }, { "from": "gpt", "value": "-s**2 + 11*s - 5" } ]
[ { "from": "human", "value": "Factor n**2/4 - 341*n/2 + 116281/4." }, { "from": "gpt", "value": "(n - 341)**2/4" } ]