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[ { "from": "human", "value": "Express -2 - 324*a + a**2 + 324*a in the form k*a + h*a**2 + x and give x." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate 1783 + -0.065." }, { "from": "gpt", "value": "1782.935" } ]
[ { "from": "human", "value": "Solve 0 = -3*s + 10 - 1 for s." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Simplify (sqrt(171) - sqrt(171)*-1*2)/(-3*(sqrt(9) + -2*sqrt(9)) - sqrt(9))." }, { "from": "gpt", "value": "3*sqrt(19)/2" } ]
[ { "from": "human", "value": "Solve 16*x - 15*x = 4 for x." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 677 minutes after 8:32 PM?" }, { "from": "gpt", "value": "7:49 AM" } ]
[ { "from": "human", "value": "Solve -4*y + 28 = 4*c, -87*c + 3*y - 17 = -88*c for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is -646.1 rounded to the nearest one hundred?" }, { "from": "gpt", "value": "-600.0" } ]
[ { "from": "human", "value": "What is the derivative of 338*j**3*m - 1371*j**3 - 6*j*m wrt m?" }, { "from": "gpt", "value": "338*j**3 - 6*j" } ]
[ { "from": "human", "value": "Let v(f) = 1 - f. Let z be v(-2). Suppose -n + z*a - 13 = 0, a = 4*a - 12. Let k = 6 + -4. Put 0, n, k in increasing order." }, { "from": "gpt", "value": "n, 0, k" } ]
[ { "from": "human", "value": "What is the third derivative of -121*q**2*z**6 - 2*q**2 - 20*q*z**2 wrt z?" }, { "from": "gpt", "value": "-14520*q**2*z**3" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 36 and 42?" }, { "from": "gpt", "value": "252" } ]
[ { "from": "human", "value": "What is the t'th term of -16, -29, -26, 5, 76?" }, { "from": "gpt", "value": "2*t**3 - 4*t**2 - 15*t + 1" } ]
[ { "from": "human", "value": "Find the second derivative of 58 - 15 + 54 + 134*g**2 + g wrt g." }, { "from": "gpt", "value": "268" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) -1/2 (b) -3 (c) -111 (d) 5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What comes next: -11, -39, -69, -101, -135, -171?" }, { "from": "gpt", "value": "-209" } ]
[ { "from": "human", "value": "Solve 2070 = -172584*h + 172653*h for h." }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "What is 149 divided by -38?" }, { "from": "gpt", "value": "-149/38" } ]
[ { "from": "human", "value": "Let a = -14 + 21. Is a prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the fifth biggest value in 7, -31, 4, -4, 3?" }, { "from": "gpt", "value": "-31" } ]
[ { "from": "human", "value": "What is next in -591, -2347, -5267, -9345, -14575, -20951, -28467?" }, { "from": "gpt", "value": "-37117" } ]
[ { "from": "human", "value": "Suppose h + 5*j = 2 + 10, -h + j = 6. Let s be 4/h*21/(-14). Suppose -3*w - 5 = -4*w. Solve -w*p = -s*p for p." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Round 6701 to the nearest 100." }, { "from": "gpt", "value": "6700.0" } ]
[ { "from": "human", "value": "Suppose 15 = 5*i - 3*t, 17 = -2*i - 3*t + 2. Suppose 0 = 3*l + 9, i = 3*d + 3*l - 29 - 58. What are the prime factors of d?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let o = -1 - -1. Let r = -11.9 - -11.4. Which is the third biggest value? (a) r (b) o (c) -3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the closest to 0.1 in -9, 1/11, -4?" }, { "from": "gpt", "value": "1/11" } ]
[ { "from": "human", "value": "Let a(x) be the first derivative of -x**6/9 - 8*x**5/15 - 2*x**4/3 + 4*x**3/9 + 5*x**2/3 + 4*x/3 - 3. Solve a(o) = 0 for o." }, { "from": "gpt", "value": "-2, -1, 1" } ]
[ { "from": "human", "value": "Simplify sqrt(8)/(-3*sqrt(24)/sqrt(6))." }, { "from": "gpt", "value": "-sqrt(2)/3" } ]
[ { "from": "human", "value": "Let d = -4 - 0. Let b = 45 - 48.1. Let g = 1.1 + b. What is the smallest value in g, -6, d?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Do -2 and 0 have different values?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let j = -3 - -10. Suppose 0 = 2*y + 3*d + j, -y + 5*y + 5*d + 15 = 0. Let n be ((-2)/(-2) + -2)*y. Solve 18 - 2 = -2*o + 3*c, 21 = -n*o - 2*c for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify (sqrt(192)*1)**2." }, { "from": "gpt", "value": "192" } ]
[ { "from": "human", "value": "Simplify (-5*1*sqrt(187))/(sqrt(99)/(2*sqrt(9)))*-3." }, { "from": "gpt", "value": "30*sqrt(17)" } ]
[ { "from": "human", "value": "How many minutes are there between 8:31 PM and 8:16 AM?" }, { "from": "gpt", "value": "705" } ]
[ { "from": "human", "value": "What is the closest to 1 in 5, 0.1, 222/5?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "Is 32 a factor of 7767?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many minutes are there between 6:13 PM and 7:07 PM?" }, { "from": "gpt", "value": "54" } ]
[ { "from": "human", "value": "Solve 5*l - 16 = -4*m, 3*l = 2*m - 1 + 15 for m." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the tenth root of 3502 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Is 15 a factor of 120?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -5*p + 4*q + 330 + 51 = 0, -5*q = -2*p + 166. Calculate the remainder when p is divided by 19." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Find the first derivative of 7 - 1 + 4 - 4 + 7*r**4 wrt r." }, { "from": "gpt", "value": "28*r**3" } ]
[ { "from": "human", "value": "Let r(n) = n**2 - 2*n - 1. Let o be r(-1). Suppose 3*y - 25 - 41 = 0. Calculate the greatest common factor of o and y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "-0.39 * -117" }, { "from": "gpt", "value": "45.63" } ]
[ { "from": "human", "value": "Let w(v) be the first derivative of -v**6/2 + 3*v**4 - 2*v**3 - 9*v**2/2 + 6*v - 2. Let w(d) = 0. What is d?" }, { "from": "gpt", "value": "-2, -1, 1" } ]
[ { "from": "human", "value": "Let l = -22/101 - -4409/303. Let h = l - 14. Suppose 0*f**2 + 0 - f**5 + 0*f + 4/3*f**4 - h*f**3 = 0. Calculate f." }, { "from": "gpt", "value": "0, 1/3, 1" } ]
[ { "from": "human", "value": "Calculate 2*-0.01769." }, { "from": "gpt", "value": "-0.03538" } ]
[ { "from": "human", "value": "Find the second derivative of s**4*z + 8*s**4 + s**3*z - 3*s*z + 2*s - 6*z wrt s." }, { "from": "gpt", "value": "12*s**2*z + 96*s**2 + 6*s*z" } ]
[ { "from": "human", "value": "Is ((-60)/(-24))/(1/62) a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the third root of 9654 to the nearest integer?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "What is 0.00010155153 rounded to seven dps?" }, { "from": "gpt", "value": "0.0001016" } ]
[ { "from": "human", "value": "Let x = -14836 + 20923. What is the tens digit of x?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let p = -20/17 - -57/34. Factor 1/4 + 1/4*h**2 + p*h." }, { "from": "gpt", "value": "(h + 1)**2/4" } ]
[ { "from": "human", "value": "Solve 3*u - 6 = -3*p, 2*p - 1 = 3*p + 2*u for p." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is 14963 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let y be ((-2)/6)/((-6)/(-90)). Which is the biggest value? (a) -2 (b) y (c) 0" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Factor b**5/2 - 20*b**4 + 77*b**3/2 - 19*b**2." }, { "from": "gpt", "value": "b**2*(b - 38)*(b - 1)**2/2" } ]
[ { "from": "human", "value": "What is -27 (base 11) in base 16?" }, { "from": "gpt", "value": "-1d" } ]
[ { "from": "human", "value": "Simplify t**(-2)/(t/(t/(t*t**9/t)))*(t/t**(-2))**43 assuming t is positive." }, { "from": "gpt", "value": "t**118" } ]
[ { "from": "human", "value": "Is -1 <= -1/378?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the second biggest value in -1/8, 2/3, -2/3, 4/7?" }, { "from": "gpt", "value": "4/7" } ]
[ { "from": "human", "value": "Sort 0.5, -3, -8." }, { "from": "gpt", "value": "-8, -3, 0.5" } ]
[ { "from": "human", "value": "What are the prime factors of 2418?" }, { "from": "gpt", "value": "2, 3, 13, 31" } ]
[ { "from": "human", "value": "Let m = -0.11 - -0.42. Let o = m + -0.01. Let r = -0.7 - o. Is r >= 0?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 8921 - -53.4." }, { "from": "gpt", "value": "8974.4" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 24 and 1236?" }, { "from": "gpt", "value": "2472" } ]
[ { "from": "human", "value": "What is the smallest value in 1/2, 197, -4, 0.4?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "In base 2, what is 1 - 0?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What comes next: 4232, 4222, 4198, 4154, 4084?" }, { "from": "gpt", "value": "3982" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 6422 and 28." }, { "from": "gpt", "value": "89908" } ]
[ { "from": "human", "value": "What is next in 217, 435, 655, 877?" }, { "from": "gpt", "value": "1101" } ]
[ { "from": "human", "value": "Subtract 12 from 3608." }, { "from": "gpt", "value": "3596" } ]
[ { "from": "human", "value": "What is the common denominator of -71/32 and 7/2644?" }, { "from": "gpt", "value": "21152" } ]
[ { "from": "human", "value": "Let a = -5.4 - -5.2. What is the third smallest value in -1/2, 12, 5, a?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What are the prime factors of 25576?" }, { "from": "gpt", "value": "2, 23, 139" } ]
[ { "from": "human", "value": "1.4 * 0" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -88 (base 9) in base 3?" }, { "from": "gpt", "value": "-2222" } ]
[ { "from": "human", "value": "Let m = -2.22 - 6.88. Let t = -10 - m. Let l = t + 1.1. What is the second smallest value in 3, l, 0?" }, { "from": "gpt", "value": "l" } ]
[ { "from": "human", "value": "Let i(y) = -20*y. Let j be i(1). Let r = 67 - 46. Let x be r/20 - (-5)/j. What is the closest to 1 in 0, 1/5, x?" }, { "from": "gpt", "value": "x" } ]
[ { "from": "human", "value": "What is the g'th term of -1376, -1380, -1386, -1394?" }, { "from": "gpt", "value": "-g**2 - g - 1374" } ]
[ { "from": "human", "value": "What is the nearest to 1/6 in 3, -35, 4?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 2*o - 190 = -4*n, -3*n + 221 = 2*n - 3*o. What is the remainder when n is divided by 16?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Sort -1664031, -10, -4." }, { "from": "gpt", "value": "-1664031, -10, -4" } ]
[ { "from": "human", "value": "Let v = 33 - 36.88. Let k = -0.12 + v. Sort -2.1, 2, k in decreasing order." }, { "from": "gpt", "value": "2, -2.1, k" } ]
[ { "from": "human", "value": "Suppose 0*m = -4*m + 208. Suppose -j = j + m. Let n = 56 + j. Solve -4*k - k = -4*f + 21, 0 = 5*f + 5*k + n for f." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is the nearest to -2? (a) -45 (b) 1/4 (c) 0.1 (d) 5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "In base 2, what is 111 + 111011011?" }, { "from": "gpt", "value": "111100010" } ]
[ { "from": "human", "value": "What comes next: -50, -80, -96, -92, -62, 0, 100, 244?" }, { "from": "gpt", "value": "438" } ]
[ { "from": "human", "value": "Let d be 1*17 + 5 + -3. Let y = d + -115/6. Which is the third biggest value? (a) 2 (b) y (c) 0.2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Divide 25996 by -2." }, { "from": "gpt", "value": "-12998" } ]
[ { "from": "human", "value": "Evaluate (30/(-18))/(75/(-135))." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Simplify (sqrt(17) + 0 + -2)**2 - (sqrt(17) + ((sqrt(17) + sqrt(102)/sqrt(6) + sqrt(17))*-6)**2)." }, { "from": "gpt", "value": "-5487 - 5*sqrt(17)" } ]
[ { "from": "human", "value": "Product of -0.595 and 5." }, { "from": "gpt", "value": "-2.975" } ]
[ { "from": "human", "value": "What is the highest common factor of 16815 and 354?" }, { "from": "gpt", "value": "177" } ]
[ { "from": "human", "value": "Suppose -r + 15 = -4*r - 3*k, -r - 2 = -2*k. Let d be (-1 + r)*12/(-10). Solve -d*i + 2*i + 3*g = -6, -3*i - 5*g + 19 = 0 for i." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "-155 (base 8) to base 11" }, { "from": "gpt", "value": "-9a" } ]
[ { "from": "human", "value": "Which is smaller: 5 or -15767.487?" }, { "from": "gpt", "value": "-15767.487" } ]
[ { "from": "human", "value": "Let m(f) = f**2 + 5*f - 1. Let u be m(0). Which is the second biggest value? (a) u (b) 1/16 (c) 1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the i'th term of -565, -1135, -1707, -2281, -2857, -3435, -4015?" }, { "from": "gpt", "value": "-i**2 - 567*i + 3" } ]
[ { "from": "human", "value": "Let o = 989694 + -4929760. Let l = -1900064 - o. Suppose 2*h = -s + h - 679998, -h + l = -3*s. Round s to the nearest one hundred thousand." }, { "from": "gpt", "value": "-700000.0" } ]