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math

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[ { "from": "human", "value": "c1 (base 14) to base 13" }, { "from": "gpt", "value": "100" } ]
[ { "from": "human", "value": "Solve 4*i + 2 - 18 = 0 for i." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let k be (6*1)/(9/6). Solve -6*q + k*q = 2 for q." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Put 2, 5, 267 in decreasing order." }, { "from": "gpt", "value": "267, 5, 2" } ]
[ { "from": "human", "value": "Which is bigger: -12.22 or -151210/3?" }, { "from": "gpt", "value": "-12.22" } ]
[ { "from": "human", "value": "Let v(s) be the first derivative of -s - 1/8*s**4 + 3 - 5/4*s**2 - 2/3*s**3. Determine b so that v(b) = 0." }, { "from": "gpt", "value": "-2, -1" } ]
[ { "from": "human", "value": "Let a(i) be the second derivative of -i**5/120 + i**4/4 + 5*i**3/6 - 3*i. Let u(q) be the second derivative of a(q). Suppose -3*l - 7 = 11. Calculate u(l)." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is -6117 - -0.1567?" }, { "from": "gpt", "value": "-6116.8433" } ]
[ { "from": "human", "value": "Let w = -1.8 - -1.7. Suppose h - 2*r = 9, 5*h + 2*r + 0*r = -15. Is w bigger than h?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor x**3/6 - 85*x**2/2 + 2508*x + 26136." }, { "from": "gpt", "value": "(x - 132)**2*(x + 9)/6" } ]
[ { "from": "human", "value": "Find z, given that 2*z**4 - 18*z**2 + 8*z + 24 = 0." }, { "from": "gpt", "value": "-3, -1, 2" } ]
[ { "from": "human", "value": "Suppose -4*p - 2*t = 54, -3*p - 4*t = 64 - 16. Let q(a) = -3*a - 16. Suppose 0 = 2*y - 21 - 1. Calculate the remainder when q(p) is divided by y." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "In base 10, what is -3 - -61?" }, { "from": "gpt", "value": "58" } ]
[ { "from": "human", "value": "What is the cube root of 116293 to the nearest integer?" }, { "from": "gpt", "value": "49" } ]
[ { "from": "human", "value": "Let f = -19 - -35. What is the highest common factor of 176 and f?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Which is the closest to 1? (a) 0.1 (b) 0.3 (c) 0.066" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let d(l) be the second derivative of -l**6/120 + l**5/60 - l**4/3 + 6*l. Let t(m) be the third derivative of d(m). Find the first derivative of t(h) wrt h." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Solve 2 - 24 = -2*c + 5*a, -a - 1 = 3*c for c." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Evaluate 31 + -38 - (-2 - -1)." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the next term in -3034, -3039, -3048, -3061?" }, { "from": "gpt", "value": "-3078" } ]
[ { "from": "human", "value": "Let a = 6 - 2. Suppose 25 = d - 2*c - 2*c, a*d + 3*c = 43. Solve -7 = 4*w + d for w." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is -2 (base 9) in base 10?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -11*o = -10*o - l, 4*o + 9 = -5*l for o." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Factor -4*a**3/5 - 28*a**2/5 + 1056*a/5 + 9792/5." }, { "from": "gpt", "value": "-4*(a - 17)*(a + 12)**2/5" } ]
[ { "from": "human", "value": "Let m = 8 + -8. Suppose 5*d = -m*d. Solve 0 + d*g - 1/4*g**3 + 0*g**2 = 0 for g." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Expand (2*b**3 - 2*b**3 - 2*b**3)*(b + 2 - 2) + 2*b**4 + 5*b**3 - 5*b**3 + (b - b**2 - b)*(b**2 + b**2 - b**2)." }, { "from": "gpt", "value": "-b**4" } ]
[ { "from": "human", "value": "What is 6 less than -274.4?" }, { "from": "gpt", "value": "-280.4" } ]
[ { "from": "human", "value": "What is the common denominator of ((-142)/4)/((-9)/(-6)) and ((-3)/(-1))/(12/104)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What are the prime factors of 33695?" }, { "from": "gpt", "value": "5, 23, 293" } ]
[ { "from": "human", "value": "What is -5 divided by 2163?" }, { "from": "gpt", "value": "-5/2163" } ]
[ { "from": "human", "value": "Which is the nearest to -6? (a) 3/2 (b) 37 (c) 1440 (d) 31" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose -c - 4*c = 0. Suppose 0 = -3*g - 9, -y + c*y = -4*g - 18. Suppose -5*q + 9 = -y. Solve -q = 2*p + 5 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is prob of picking 1 s and 1 t when two letters picked without replacement from {t: 3, s: 13}?" }, { "from": "gpt", "value": "13/40" } ]
[ { "from": "human", "value": "-1351 divided by -193" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is -5 (base 15) in base 9?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is 7/((-35)/(-102)) + 209/(-11)?" }, { "from": "gpt", "value": "7/5" } ]
[ { "from": "human", "value": "Determine x, given that -44*x**2 + 168*x + 260 = 0." }, { "from": "gpt", "value": "-13/11, 5" } ]
[ { "from": "human", "value": "In base 15, what is -2b + -11?" }, { "from": "gpt", "value": "-3c" } ]
[ { "from": "human", "value": "What is the square root of 20550 to the nearest integer?" }, { "from": "gpt", "value": "143" } ]
[ { "from": "human", "value": "Convert -23 (base 6) to base 3." }, { "from": "gpt", "value": "-120" } ]
[ { "from": "human", "value": "What is -130 + 41?" }, { "from": "gpt", "value": "-89" } ]
[ { "from": "human", "value": "In base 4, what is 310 + -11?" }, { "from": "gpt", "value": "233" } ]
[ { "from": "human", "value": "Suppose 5*n + 6*y = 4*y + 35, 0 = -n - 5*y + 30. Suppose 0 = -n*a + 11 + 14. Solve 0 = -a*u + u - 12 for u." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let u(g) = -g**2 - 10*g - 8. Let n be u(-9). Let q be 0/((n - -1)/(-2)). Which is the closest to -1? (a) q (b) 0.1 (c) 5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let k be 13 + 0/(4/(-2)). Suppose -4*j - 14 = 10. Let q = k + j. Solve -13 = 2*l - 0*l - 3*n, q = l + 3*n for l." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "0.0814 * 9" }, { "from": "gpt", "value": "0.7326" } ]
[ { "from": "human", "value": "What is the second smallest value in -2, 5.6, 11?" }, { "from": "gpt", "value": "5.6" } ]
[ { "from": "human", "value": "What is the next term in -20, -82, -174, -290, -424, -570, -722?" }, { "from": "gpt", "value": "-874" } ]
[ { "from": "human", "value": "Calculate (2/(1*-66))/((-1)/6)." }, { "from": "gpt", "value": "2/11" } ]
[ { "from": "human", "value": "What is the product of -5.6 and 2.9?" }, { "from": "gpt", "value": "-16.24" } ]
[ { "from": "human", "value": "Which is the nearest to 1356/5? (a) 1/3 (b) 2 (c) 2/7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let x(m) = m - 1. Let k be x(-8). Calculate the least common multiple of (k/12)/((-1)/8) and 8." }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "What is the closest to 10 in 0.1, -4, -2, -414, 3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Sort -20, -2, 7, -1." }, { "from": "gpt", "value": "-20, -2, -1, 7" } ]
[ { "from": "human", "value": "Divide 24 by 5." }, { "from": "gpt", "value": "24/5" } ]
[ { "from": "human", "value": "What is twenty-five quarters of a milligram in micrograms?" }, { "from": "gpt", "value": "6250" } ]
[ { "from": "human", "value": "Rearrange (3*w**2 - 5*w**2 + 0*w**2)*(-3*w + w - w)*(1 + 3 - 3) to j*w**3 + k*w**2 + d + a*w and give j." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Which is bigger: -2313 or -2315?" }, { "from": "gpt", "value": "-2313" } ]
[ { "from": "human", "value": "Solve f + 3*i = 3, -11*i = -f - 12*i + 1 for f." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 0*b = -b + 2*q, 2*b - q = 0 for b." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate -4 + 11 + 2 + (-1 - 3)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Evaluate 6/((84/8)/(-7))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let j(s) = -2*s - 52. Determine j(-18)." }, { "from": "gpt", "value": "-16" } ]
[ { "from": "human", "value": "What is 2/(-5)*100/180?" }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "Put together 2258 and 1." }, { "from": "gpt", "value": "2259" } ]
[ { "from": "human", "value": "Suppose -2*o = -5*o. Let r(i) = o*i**2 + 3*i**2 - 2*i**2. Let u(l) be the first derivative of 1 - 2*l**3/3. Give u(r(p))." }, { "from": "gpt", "value": "-2*p**4" } ]
[ { "from": "human", "value": "Expand (2 - 3 + 2 - 4 + 4 + 2 + (2 - 1 + 1)*(-1 + 0 + 3))*((2*q - 3*q + 2*q)*(5 - 3 - 3) + 1 - 1 + 2*q)." }, { "from": "gpt", "value": "7*q" } ]
[ { "from": "human", "value": "Find the common denominator of 123/880 and -13/4." }, { "from": "gpt", "value": "880" } ]
[ { "from": "human", "value": "How many years are there in twenty-seven quarters of a century?" }, { "from": "gpt", "value": "675" } ]
[ { "from": "human", "value": "Solve 19*a - 15*a - 14 = -i, -a + i = -1 for a." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Work out 0.0471 + -0.256." }, { "from": "gpt", "value": "-0.2089" } ]
[ { "from": "human", "value": "Round 821855 to the nearest 10000." }, { "from": "gpt", "value": "820000.0" } ]
[ { "from": "human", "value": "What is the c'th term of -69, -72, -77, -84, -93, -104?" }, { "from": "gpt", "value": "-c**2 - 68" } ]
[ { "from": "human", "value": "What is the millions digit of 44107534?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let n(i) = -i**2 + 9*i - 6. Let z be n(8). Solve 4*q = -y + z*y - 2, 5*q + 7 = -y for y." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let n(u) be the third derivative of u**5/30 - u**4/8 + u**3/6 - 16*u**2. Factor n(j)." }, { "from": "gpt", "value": "(j - 1)*(2*j - 1)" } ]
[ { "from": "human", "value": "Let g(s) = 4*s - 15. What is the remainder when (2/1)/((-4)/(-98)) is divided by g(10)?" }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "Let j(n) = 3 - 3*n. Let q be j(2). Suppose -3*c = -8*c + 10. Suppose -c*i = i + 12. Put i, q, 4 in decreasing order." }, { "from": "gpt", "value": "4, q, i" } ]
[ { "from": "human", "value": "Suppose -5*x - 3*j - 1 + 4 = 0, 4*x + j - 1 = 0. Sort 2, x, -5." }, { "from": "gpt", "value": "-5, x, 2" } ]
[ { "from": "human", "value": "What is the third smallest value in -0.4, 7, -3, -0.3, 0?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "What is the q'th term of -1, -22, -49, -76, -97?" }, { "from": "gpt", "value": "q**3 - 9*q**2 - q + 8" } ]
[ { "from": "human", "value": "What is the remainder when 393 is divided by 63?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Suppose o**3/3 + 257*o**2/3 + 15295*o/3 - 53067 = 0. What is o?" }, { "from": "gpt", "value": "-133, 9" } ]
[ { "from": "human", "value": "What is the fifth root of 3132 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Put -2/9, -2/59, 1/3 in descending order." }, { "from": "gpt", "value": "1/3, -2/59, -2/9" } ]
[ { "from": "human", "value": "Calculate the remainder when 1400 is divided by 48." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Factor -3*g**2/4 - 27*g/4 - 27/2." }, { "from": "gpt", "value": "-3*(g + 3)*(g + 6)/4" } ]
[ { "from": "human", "value": "Find the first derivative of 8*a*c**4 + 2*a*r + 2*a + 22*c**4 + 4*c**2*r + 228*r wrt c." }, { "from": "gpt", "value": "32*a*c**3 + 88*c**3 + 8*c*r" } ]
[ { "from": "human", "value": "Solve -s - 12 = 4*v, -4*s - 41*v = -43*v - 6 for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -9 = 5*w - 3*s, -s = 2*w + 3*s - 12 for w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let m be 0/(-4)*(-2)/4. Suppose f = -m*f + 1. Let b = 14 - 10. What is the smallest common multiple of b and f?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify (-1 + -2*sqrt(11) + -1)*-4." }, { "from": "gpt", "value": "8 + 8*sqrt(11)" } ]
[ { "from": "human", "value": "Is 13600003 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the closest to -28 in 4, -4, 1/4, -0.5?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the highest common divisor of 37 and 343656?" }, { "from": "gpt", "value": "37" } ]
[ { "from": "human", "value": "Calculate -22 divided by 1." }, { "from": "gpt", "value": "-22" } ]
[ { "from": "human", "value": "Which is the nearest to 1? (a) 1 (b) -2 (c) -0.1 (d) 3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let h = 24 - 28. Which is bigger: -1/6 or h?" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Suppose 2*i - 5*b = 0, -4*b = -i - 0*b - 3. Suppose -5*r - i = 2*f - 27, -5*r + 2*f = -18. Solve -3*w = -p + 13, -2*w + p = 6 + r for w." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 4*q - r + 6*r - 11 = 0, 2*r - 11 = 5*q. Let z(o) = 1 - o**2. Let t be z(q). Solve t = -3*h - 0*h - 9 for h." }, { "from": "gpt", "value": "-3" } ]