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math

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[ { "from": "human", "value": "Let m = 32 - 131/4. Which is the biggest value? (a) m (b) 0.13 (c) 2" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve -8 = -2*n + 5*z, 2*z + 112 - 113 = 5*n for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let v(g) = -3 + 3*g**2 + g**3 - 2*g + 3*g - 2*g**3. Let f be v(2). Suppose t = 62 + f. Is t a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let v be 1/5 - (-1188)/60. Find c, given that -c + 3*c + 2*c - v*c**2 + 21*c**3 = 0." }, { "from": "gpt", "value": "0, 2/7, 2/3" } ]
[ { "from": "human", "value": "What is the value of -2 + 5 + (3 - 4 - 3)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let t(u) = -u. Let m be t(-1). Let k be (-1 + 2)*13/m. Let y = k + -11. Solve -o = 3*j + y*j - 1, -4*o = -4*j + 20 for o." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let u = 0.38 - -0.12. What is the closest to 6/7 in 4, -5, u?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "What is the common denominator of -50/921 and 2/3?" }, { "from": "gpt", "value": "921" } ]
[ { "from": "human", "value": "Calculate 6 - 1 - (-5 + 5)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Put 217, -4, -1, 3, 2 in increasing order." }, { "from": "gpt", "value": "-4, -1, 2, 3, 217" } ]
[ { "from": "human", "value": "What are the prime factors of 1952?" }, { "from": "gpt", "value": "2, 61" } ]
[ { "from": "human", "value": "What is 360 minutes before 5:53 AM?" }, { "from": "gpt", "value": "11:53 PM" } ]
[ { "from": "human", "value": "Simplify ((sqrt(78)*-1)/sqrt(6))**2 + 2 + sqrt(26)/sqrt(2) + sqrt(39)/(sqrt(3) - 2*sqrt(3)*-1)." }, { "from": "gpt", "value": "4*sqrt(13)/3 + 15" } ]
[ { "from": "human", "value": "Let z = 0.4 + -0.3. Let w = z - 1.1. Which is the smallest value? (a) 2/13 (b) -5 (c) w" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the nearest to 0 in 0.07, -3, -23?" }, { "from": "gpt", "value": "0.07" } ]
[ { "from": "human", "value": "Suppose -3*m = -4*m - 2. Let w(k) = 3*k**2 - 2*k - 1. Let v be w(m). Solve -5*n = -4*h + 11, 3*h + 0*h - v = -3*n for h." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let y be 2/(-4) + 21/(-6). Suppose 4*f + 7 - 15 = 0. Let h = f - y. Solve 0*c = -3*c - h for c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Factor -3*c**5 - 270*c**4 - 8097*c**3 - 80730*c**2 + 8100*c + 81000." }, { "from": "gpt", "value": "-3*(c - 1)*(c + 1)*(c + 30)**3" } ]
[ { "from": "human", "value": "Let s(g) = -g**2 + 6*g + 3. Let n be s(6). Find the third derivative of 6*t**2 + 3*t**2 - 2*t**2 - 3*t**n wrt t." }, { "from": "gpt", "value": "-18" } ]
[ { "from": "human", "value": "Sum 171677 and 0.1." }, { "from": "gpt", "value": "171677.1" } ]
[ { "from": "human", "value": "Let x = 0.01 - -4.99. Let z = -149/1884 - 2/471. What is the smallest value in 3/4, z, x?" }, { "from": "gpt", "value": "z" } ]
[ { "from": "human", "value": "Suppose 5*d + r = 9 + 8, 2*d - 11 = r. Suppose 4*b + 8 = s - d*s, 2*s - 2*b - 4 = 0. Let y(p) = -4*p - 1. Let n be y(-1). Solve s = n*z - 3 for z." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Express 17 + 5*l - 17 in the form v + h*l and give h." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Is 30 a factor of 23867?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let k(r) = 35*r - 47. What are the prime factors of k(3)?" }, { "from": "gpt", "value": "2, 29" } ]
[ { "from": "human", "value": "Let a = -2.8 + -8.2. What is the second smallest value in -2/7, a, -1/3?" }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "Simplify 2*(5 + (sqrt(34)/(sqrt(2)*1 + sqrt(2)) + sqrt(17))**2)." }, { "from": "gpt", "value": "173/2" } ]
[ { "from": "human", "value": "What is -0.0183934 rounded to 3 dps?" }, { "from": "gpt", "value": "-0.018" } ]
[ { "from": "human", "value": "In base 8, what is 413035 - 6?" }, { "from": "gpt", "value": "413027" } ]
[ { "from": "human", "value": "In base 14, what is 1 - -9b?" }, { "from": "gpt", "value": "9c" } ]
[ { "from": "human", "value": "Which is the closest to -0.1? (a) -1/10 (b) -0.5 (c) 0 (d) -5/3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Solve 0*y + y = -4*b - 11, 2*b - 8 = 4*y for y." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Add 1.69 and -0.58." }, { "from": "gpt", "value": "1.11" } ]
[ { "from": "human", "value": "Is 68 a factor of 2245573988?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort 5, -33, 3 in ascending order." }, { "from": "gpt", "value": "-33, 3, 5" } ]
[ { "from": "human", "value": "Suppose -b - 4*b = -510. What is the greatest common divisor of 68 and b?" }, { "from": "gpt", "value": "34" } ]
[ { "from": "human", "value": "32/(-224) - (2 - 19/35)" }, { "from": "gpt", "value": "-8/5" } ]
[ { "from": "human", "value": "Let j be (-2618)/7*(-10)/(-16). Let v = j + 235. Factor v*r**2 + 0 - 5/4*r**4 + 1/2*r - 1/2*r**3." }, { "from": "gpt", "value": "-r*(r - 1)*(r + 1)*(5*r + 2)/4" } ]
[ { "from": "human", "value": "Let c(n) = -1794*n - 1794. Let o(f) = 97*f + 97. Let d(x) = 5*c(x) + 92*o(x). What is the first derivative of d(t) wrt t?" }, { "from": "gpt", "value": "-46" } ]
[ { "from": "human", "value": "Suppose -m = 4*c - 14, 0 = 4*c + 2*m - 5 - 11. Solve -5*j = -c*j for j." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 8*p - 10*p + 20 = 0 for p." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let i(m) be the third derivative of -113*m**5/15 - 135*m**4/8 + 358*m**2. Find the second derivative of i(g) wrt g." }, { "from": "gpt", "value": "-904" } ]
[ { "from": "human", "value": "Let a**4/4 + 15*a**3/4 - 3*a**2/4 - 43*a/4 + 15/2 = 0. Calculate a." }, { "from": "gpt", "value": "-15, -2, 1" } ]
[ { "from": "human", "value": "Solve -22*s + 16*s - 12 = 0 for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is 0.2 <= -76?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 4 = -3*u - u. Let h = 80 - 83. Let s be (-3)/(2 + h + 2). Which is smaller: u or s?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "Is 1284 a multiple of 7?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let f be (-1)/4 + (-14)/8. Let g be 4/15*(-66)/(-44). What is the nearest to g in -0.5, 0.1, f?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "Calculate (12/105)/(6/15)." }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Put 2/17, 1/6, 2/3, -0.4, -1.8 in decreasing order." }, { "from": "gpt", "value": "2/3, 1/6, 2/17, -0.4, -1.8" } ]
[ { "from": "human", "value": "Which is the closest to 0.35? (a) -2/5 (b) -1 (c) 1/9" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve m + 2*m = -3*q - 24, -38 = -2*q + 4*m for q." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is -16.18 times -2?" }, { "from": "gpt", "value": "32.36" } ]
[ { "from": "human", "value": "Is -1 smaller than 1/4658?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Divide 27102 by -6." }, { "from": "gpt", "value": "-4517" } ]
[ { "from": "human", "value": "Simplify d**(12/11)*d*d**(12/11)*d assuming d is positive." }, { "from": "gpt", "value": "d**(46/11)" } ]
[ { "from": "human", "value": "Round -76999074900 to the nearest one million." }, { "from": "gpt", "value": "-76999000000.0" } ]
[ { "from": "human", "value": "Suppose 9*b = 6*b + 3. Solve -3*v + f = -19, -3*v - 2*f - b + 8 = 0 for v." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Find t, given that 648*t**5/13 - 7056*t**4/13 - 8566*t**3/13 - 886*t**2/13 - 24*t/13 = 0." }, { "from": "gpt", "value": "-1, -1/18, 0, 12" } ]
[ { "from": "human", "value": "Which is smaller: -2 or -47?" }, { "from": "gpt", "value": "-47" } ]
[ { "from": "human", "value": "Is 14 a factor of 1862?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the u'th term of 3, 13, 11, -9, -53, -127, -237?" }, { "from": "gpt", "value": "-u**3 + 17*u - 13" } ]
[ { "from": "human", "value": "In base 15, what is 1 - 47?" }, { "from": "gpt", "value": "-46" } ]
[ { "from": "human", "value": "Calculate -3 divided by 189." }, { "from": "gpt", "value": "-1/63" } ]
[ { "from": "human", "value": "Let q = -2 - 2. Let f be q/6 + 670/6. Let u = f - 78. Is u a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the common denominator of -21/10 and -62/57?" }, { "from": "gpt", "value": "570" } ]
[ { "from": "human", "value": "Solve -5*b - 4*f - 80 = 0, 2*b + 23*f - 29*f - 81 - 1 = 0 for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let w = -0.08 - -0.08. Let p = -3 + w. Let y = 3.2 - 3. Sort 0, y, p." }, { "from": "gpt", "value": "p, 0, y" } ]
[ { "from": "human", "value": "What is the next term in -2469, -2470, -2471, -2472, -2473, -2474?" }, { "from": "gpt", "value": "-2475" } ]
[ { "from": "human", "value": "Let d = 36 - 20. Let w(r) = r**3 + 6*r**2 + 5*r + 2. What is the smallest common multiple of w(-5) and d?" }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Let i = -58 + 23. Let m = i - -77. Suppose -5*n - 4 + m = y, -4*n - 11 = -y. Is y prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Rearrange (-1 + 3 + 0)*(-5 + 5 + 8)*(j + 4 - 4 + 3 - j - 3 + (4 + 0 - 2)*(4*j - j - 4*j)) to w + h*j and give h." }, { "from": "gpt", "value": "-32" } ]
[ { "from": "human", "value": "What is the fourth biggest value in -0.5, -5, 1, 0, 1/2?" }, { "from": "gpt", "value": "-0.5" } ]
[ { "from": "human", "value": "Let b = 94 + -55. Let c = -26 + b. What are the prime factors of c?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What is 47 divided by 4?" }, { "from": "gpt", "value": "47/4" } ]
[ { "from": "human", "value": "Let i(h) = -2*h**2. Let v(l) = -14369*l. What is i(v(q))?" }, { "from": "gpt", "value": "-412936322*q**2" } ]
[ { "from": "human", "value": "Factor -2*v**2/17 - 46*v/17 + 48/17." }, { "from": "gpt", "value": "-2*(v - 1)*(v + 24)/17" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 2088 and 1088544." }, { "from": "gpt", "value": "3265632" } ]
[ { "from": "human", "value": "Evaluate ((-69)/138)/((-6)/(-4))." }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "Which is greater: 11 or -21?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is the thousands digit of 51082?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let v(k) be the second derivative of -k**3/6 - 6*k**2 + 7*k. Let s be v(-12). Solve -3*f - 4*y - 31 = s, -y - 2*y = -3*f - 3 for f." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the m'th term of 7, -68, -225, -464, -785, -1188?" }, { "from": "gpt", "value": "-41*m**2 + 48*m" } ]
[ { "from": "human", "value": "Evaluate 3/(-6)*2*6/21." }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Let u(a) = -a**2 + 2*a. Let c be u(0). Solve c = -x + 2*x for x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -9*h + 3 = -6*h, 3*c - 2 = 4*h for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose 3*n - 6*n = 0. Suppose -4*t - 5*h - 3 = -n*t, -t - 5*h = 12. Solve -2*g - 1 = -t*g for g." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 1 (b) 422 (c) -2/5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 15 = 4*m + 5*z, m - 1 = -3*z + 1 for m." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is -460 divided by -2?" }, { "from": "gpt", "value": "230" } ]
[ { "from": "human", "value": "What is 337 minutes before 11:36 PM?" }, { "from": "gpt", "value": "5:59 PM" } ]
[ { "from": "human", "value": "What is the nearest to 0 in -18, 0.4, 1/19?" }, { "from": "gpt", "value": "1/19" } ]
[ { "from": "human", "value": "Let y = 0.02 - 2.02. Let j = 11 - 15. What is the nearest to -1 in y, j, -0.2?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Solve 20 = -3*v + 14 for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate ((-1)/6*2)/(6/(-18))." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 2, what is -1 + 101110100?" }, { "from": "gpt", "value": "101110011" } ]
[ { "from": "human", "value": "What is 405 divided by 5?" }, { "from": "gpt", "value": "81" } ]
[ { "from": "human", "value": "Is 79063 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor 56/3*x**2 + 100/3*x + 4/3*x**3 + 16." }, { "from": "gpt", "value": "4*(x + 1)**2*(x + 12)/3" } ]
[ { "from": "human", "value": "Factor 0*m - 1/6*m**2 + 0 + 0*m**3 + 1/6*m**4." }, { "from": "gpt", "value": "m**2*(m - 1)*(m + 1)/6" } ]