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[ { "from": "human", "value": "What is a in -6*a**3 + 2944*a**2/7 - 7390*a + 700 = 0?" }, { "from": "gpt", "value": "2/21, 35" } ]
[ { "from": "human", "value": "Let d(g) = 9 - g. Let o be d(7). Let w = 2 - 0. Let s be 44/6 + (-4)/(-6). Solve o*c = -w*c - s for c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Are -270/97 and -2 nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the value of ((-2)/9)/(-6*8/144)?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "What is 8 (base 14) in base 9?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Do -24716 and -24716 have the same value?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let z = 0.13 + -0.05. Let w = z + -0.18. Let n = 0 - 0.5. Which is the nearest to 0? (a) 2/15 (b) n (c) w" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let j = -0.3 - -0.1. Let r be 0 + -2 + -1 + 1. Let i be 27/(-36) + r/(-4). Which is the nearest to 1? (a) -5 (b) j (c) i" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let l(u) be the third derivative of 0*u**3 + u**2 + 0*u + 0*u**4 - 3/20*u**5 + 0 + 0*u**6 - 1/105*u**7. Find the third derivative of l(f) wrt f." }, { "from": "gpt", "value": "-48*f" } ]
[ { "from": "human", "value": "Let r be (-5)/(-1 + (1 - -1)). Let w = -3 - r. Solve p + 3 + w = 0 for p." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let d(o) = o**2 - 6*o + 1. Let s(k) = -5*k**2 + 24*k - 3. Let i(q) = -9*d(q) - 2*s(q). Give i(-6)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the second derivative of 21*f + 32*f + 35*f - 125*f - f**2 wrt f?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let b be (117 - (-29600)/(-250))*(1 + (-34)/14). Solve -8/7*f**4 - 8/7*f**3 + 0*f**b - 2/7*f**5 + 0 + 0*f = 0." }, { "from": "gpt", "value": "-2, 0" } ]
[ { "from": "human", "value": "Subtract 1030 from 0.4." }, { "from": "gpt", "value": "-1029.6" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 1/6 (b) -1 (c) 0.04 (d) 0.114 (e) 0" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let k = 1134 - -109. Is k a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 0 = -2*x + 5*y + 50, 2*x + 0*y = 4*y + 52. Calculate the highest common factor of 20 and x." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Work out -682.4 - 0.1." }, { "from": "gpt", "value": "-682.5" } ]
[ { "from": "human", "value": "In base 3, what is 1 - 21000?" }, { "from": "gpt", "value": "-20222" } ]
[ { "from": "human", "value": "What comes next: -2201498, -2201494, -2201490, -2201486, -2201482?" }, { "from": "gpt", "value": "-2201478" } ]
[ { "from": "human", "value": "What is the tens digit of 16864?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Differentiate 4*h**2*l**2 + 6*h**2*l - 3*h - 242*l**2 with respect to h." }, { "from": "gpt", "value": "8*h*l**2 + 12*h*l - 3" } ]
[ { "from": "human", "value": "Put 4, 11.7, 0.1, -1 in decreasing order." }, { "from": "gpt", "value": "11.7, 4, 0.1, -1" } ]
[ { "from": "human", "value": "Let w(l) = -l**2 - 8*l - 4. Let g(o) = 6 - 2*o. Let k be g(5). Let y be (-24)/(-9)*9/k. What is the units digit of w(y)?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose -4*f + 23 + 69 = 0. Suppose -21 = -2*w + f. Solve 2 - 4 = -3*s + u, 3*s = -4*u + w for s." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -13*n = 6 - 19 for n." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the p'th term of 28, 18, -8, -56, -132, -242?" }, { "from": "gpt", "value": "-p**3 - 2*p**2 + 3*p + 28" } ]
[ { "from": "human", "value": "Let p be (-9)/(-12)*4/6. Which is smaller: 0 or p?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Does 4 divide 165?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 78246 and 322?" }, { "from": "gpt", "value": "322" } ]
[ { "from": "human", "value": "Which is greater: 1215/26 or 48?" }, { "from": "gpt", "value": "48" } ]
[ { "from": "human", "value": "In base 8, what is 5 + 252?" }, { "from": "gpt", "value": "257" } ]
[ { "from": "human", "value": "What is the third root of 18236 to the nearest integer?" }, { "from": "gpt", "value": "26" } ]
[ { "from": "human", "value": "Evaluate -22 + 14 + 12 + -2." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the common denominator of -17/57798 and 161/38532." }, { "from": "gpt", "value": "115596" } ]
[ { "from": "human", "value": "What comes next: -6, -39, -104, -207, -354, -551, -804, -1119?" }, { "from": "gpt", "value": "-1502" } ]
[ { "from": "human", "value": "Find the second derivative of 2*a**5*k**2 - 498*a**5 - 3*a*k**2 + 2*k**2 wrt a." }, { "from": "gpt", "value": "40*a**3*k**2 - 9960*a**3" } ]
[ { "from": "human", "value": "Let x = -4 - -5. Let j = x - 1. Suppose -2*n - 1 - 1 = j. Which is smaller: 2/9 or n?" }, { "from": "gpt", "value": "n" } ]
[ { "from": "human", "value": "(-3)/(-4)*(-308)/1617" }, { "from": "gpt", "value": "-1/7" } ]
[ { "from": "human", "value": "3 (base 9) to base 12" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is 11 (base 3) in base 4?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let k(u) be the first derivative of -4*u**5 - 7*u**4 - 8*u**3/3 - 7. Factor k(x)." }, { "from": "gpt", "value": "-4*x**2*(x + 1)*(5*x + 2)" } ]
[ { "from": "human", "value": "Calculate 162/(-315) + (-8)/(-10) - 0." }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Let h(o) = -o**3 + 16*o**2 + 22*o - 17. Let m be h(17). Suppose 6*w - m = 4*w. What are the prime factors of w?" }, { "from": "gpt", "value": "2, 17" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) -62 (b) 1/3 (c) -4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose 3*w = -2*z + 2, w - 18 = -2*z - 3*z. Suppose 4*y = -z*p - 1 + 13, 4*y - 6 = 2*p. Solve -2*q + 6 = -b, y*b + 12 = 4*q - b for q." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let w(j) be the second derivative of -7*j**6/120 - j**3/3 - 2*j**2 + 3*j. Let n(i) be the first derivative of w(i). Differentiate n(y) wrt y." }, { "from": "gpt", "value": "-21*y**2" } ]
[ { "from": "human", "value": "Suppose 5*q + 10 = 7*q. Solve -q = f - 3 for f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let h be 4/30*(-15)/(-80). Are h and 1 non-equal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Collect the terms in 27*b**3 + 2 + 52*b**3 - 2." }, { "from": "gpt", "value": "79*b**3" } ]
[ { "from": "human", "value": "Let o = -6 + 34. Is 7 a factor of o?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "1 divided by 454" }, { "from": "gpt", "value": "1/454" } ]
[ { "from": "human", "value": "Let z = -14 + 17. Let k(u) be the third derivative of 0*u - 2*u**2 + 1/60*u**6 + 0 + 0*u**4 + 0*u**5 + 1/3*u**z. Differentiate k(r) wrt r." }, { "from": "gpt", "value": "6*r**2" } ]
[ { "from": "human", "value": "How many minutes are there between 3:06 PM and 7:18 PM?" }, { "from": "gpt", "value": "252" } ]
[ { "from": "human", "value": "What is 9/(-378)*-57 + 3/(-2)?" }, { "from": "gpt", "value": "-1/7" } ]
[ { "from": "human", "value": "Let d(j) = j**2 - 4*j + 2. Let s be d(3). Let l be s/((-9)/(-6) + -2). Let r(q) = 2*q**2 + 3*q - 2. Does 12 divide r(l)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -4*a - 20 = 4*r, 38*a = 34*a - 3*r - 19 for a." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let z be ((-2)/(-5))/((-36)/20 - -2). Let o(m) be the third derivative of 0*m - 1/8*m**4 - 1/3*m**3 + 2*m**z + 0. What is the derivative of o(t) wrt t?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "-2 + (14 - (4 + 4)) - 6" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose 0 = 4*u - 20 - 32. Let h be 2*3*3/(-2). Let z = u + h. Solve s - 1 = -2*v - 0, 5*v = -z*s - 2 for s." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Which is the fourth smallest value? (a) 2 (b) -2/11 (c) 0.1 (d) 96" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let z(g) = 4*g**3 + 6*g**2 - 16*g - 14. Let l(t) = 12*t**3 + 19*t**2 - 48*t - 41. Let c = 116 + -123. Let w(x) = c*z(x) + 2*l(x). Factor w(n)." }, { "from": "gpt", "value": "-4*(n - 2)*(n + 1)*(n + 2)" } ]
[ { "from": "human", "value": "Let o(q) = 2 - q. Let f be o(4). Let y = f - -3. Suppose 2*u - m + 13 = -2*u, -5 = u - 2*m. What is the nearest to y in 1/3, u, 2?" }, { "from": "gpt", "value": "1/3" } ]
[ { "from": "human", "value": "Let d(o) = -o - 3. Let u(g) = -g**3 - 7*g**2 - 6*g - 6. Let v be u(-6). Let h be d(v). Solve -15 = 2*b + h*b for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Simplify ((sqrt(18) - sqrt(18)*1)*-1)/((3*sqrt(66))/sqrt(11))." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -1 + -1 + (-1 - (4 - 3))?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 21 (b) -0.5 (c) -3 (d) -1/4" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let o be -1 + (-7)/(28/(-24)). Let x**3 + 3 - x - 3 - x**o + x**3 = 0. Calculate x." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "In base 4, what is 1 + -1?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Sum 85 and -0.0379." }, { "from": "gpt", "value": "84.9621" } ]
[ { "from": "human", "value": "What is the third root of 2609 to the nearest integer?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Differentiate -5*j**3*t + j**3*z + 2*j**2*t*z + 2*j**2*t - 56*j*z + 2 with respect to z." }, { "from": "gpt", "value": "j**3 + 2*j**2*t - 56*j" } ]
[ { "from": "human", "value": "What is 387 minutes after 1:38 PM?" }, { "from": "gpt", "value": "8:05 PM" } ]
[ { "from": "human", "value": "Collect the terms in -m**2 - 2*m + 0*m + 5*m**2." }, { "from": "gpt", "value": "4*m**2 - 2*m" } ]
[ { "from": "human", "value": "Determine x so that -5*x**4/3 - 55*x**3/3 - 130*x**2/3 - 80*x/3 = 0." }, { "from": "gpt", "value": "-8, -2, -1, 0" } ]
[ { "from": "human", "value": "Let a = 74 + -57. Is a at least 10?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "5 times 249.25824" }, { "from": "gpt", "value": "1246.2912" } ]
[ { "from": "human", "value": "What is the square root of 19933750 to the nearest integer?" }, { "from": "gpt", "value": "4465" } ]
[ { "from": "human", "value": "(7 - (-5 + -6 + 12)) + 1" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let b(q) = -2*q**2 - 3*q - 6. Give b(-3)." }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "-8 + (-1 - -1) + 2 + 1" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Is 11 a factor of 477?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Collect the terms in 21 - 21 - 43*d**3 + 41*d**3." }, { "from": "gpt", "value": "-2*d**3" } ]
[ { "from": "human", "value": "What is the d'th term of -175, -190, -201, -208, -211, -210, -205?" }, { "from": "gpt", "value": "2*d**2 - 21*d - 156" } ]
[ { "from": "human", "value": "In base 9, what is 5 - -1161?" }, { "from": "gpt", "value": "1166" } ]
[ { "from": "human", "value": "Let m(f) = f**2 + 8*f + 6. Let x be m(-6). Let d(l) = -l**3 - 5*l**2 + 5*l - 4. Let i be d(x). Solve 4 = 4*t + 2*n, 3*t + i = 8*t + n for t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let -18*c**4 - 94*c**3 - 56*c**2 + 136*c + 32 = 0. What is c?" }, { "from": "gpt", "value": "-4, -2, -2/9, 1" } ]
[ { "from": "human", "value": "What is the value of (20/15)/((-28)/(-6))?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Divide -453 by 1." }, { "from": "gpt", "value": "-453" } ]
[ { "from": "human", "value": "(6/63)/(6/27)" }, { "from": "gpt", "value": "3/7" } ]
[ { "from": "human", "value": "Let w be 0*(-1)/3*1. Let h = w + -4. What is the closest to 0.1 in h, 0.5, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let u(p) be the second derivative of p**5 + 3*p**2 + 23*p. Find the first derivative of u(c) wrt c." }, { "from": "gpt", "value": "60*c**2" } ]
[ { "from": "human", "value": "What is 48 minutes after 11:48 AM?" }, { "from": "gpt", "value": "12:36 PM" } ]
[ { "from": "human", "value": "What is the closest to 74 in 1/9, -5, 1/7, 2?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -18 = 2*w + 4*w. Is -3 at least w?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let j(t) = t + 7. Let q = 21 - 25. Let b be j(q). Solve -b*d = -0*d + 6 for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Round 5684000 to the nearest 1000000." }, { "from": "gpt", "value": "6000000.0" } ]
[ { "from": "human", "value": "What is 3 + (5 + -8 - -5 - 4)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Factor -15*v**2/2 - 2259*v/2 + 453." }, { "from": "gpt", "value": "-3*(v + 151)*(5*v - 2)/2" } ]
[ { "from": "human", "value": "Solve 3*c + 2 = -b, 2*c - 2*b = 5*c + 1 for c." }, { "from": "gpt", "value": "-1" } ]