conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let m be (-1)/(-9*(-6)/45). Let h = 0.2 - 0. Which is the second smallest value? (a) h (b) -0.6 (c) m"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 2/39135 or 1?"
},
{
"from": "gpt",
"value": "2/39135"
}
] |
[
{
"from": "human",
"value": "Let d(r) be the third derivative of r**4/12 - r**3/6 + 2*r**2. Suppose -5*a = -a - 24. Is d(a) a multiple of 9?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Which is the fourth smallest value? (a) 2 (b) 0.9 (c) 0.5 (d) 1/3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -0.1? (a) 1/2 (b) -1/3 (c) 4/15"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 0.02 (b) 2/7 (c) 0"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let n(o) = -o**3 + 6*o**2 + 4*o + 2. Let m be n(6). Let u be (-6)/(0/(-1) - 1). Suppose 5*l + u - m = 0. Solve b = l*b for b."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Is 9 a factor of 51003?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the next term in -282, -283, -284, -285, -286?"
},
{
"from": "gpt",
"value": "-287"
}
] |
[
{
"from": "human",
"value": "Let q = -8.06 - -8. Let h = -0.04 + q. Let f = -1 + 5/3. Which is the smallest value? (a) f (b) -0.2 (c) h"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 154527 is divided by 51505."
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Which is the fourth biggest value? (a) 2/11 (b) -0.144 (c) -4 (d) 2/13 (e) -5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 5/4, -2, -4, -2/7?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let t(n) = n**3 + 6*n**2 - 9*n + 3. Calculate the remainder when t(-7) is divided by 5."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "-3 * 43"
},
{
"from": "gpt",
"value": "-129"
}
] |
[
{
"from": "human",
"value": "Suppose -2*a + 72 = 2*a. Suppose 0 = -3*k + k + 6, -2*k = -5*v + 24. Is (v/a)/(1/57) a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -3? (a) -5 (b) 1.6 (c) 0.4 (d) 2/15"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let x = -3.5 + 0.5. Let m = 4 + x. Which is the third biggest value? (a) m (b) -0.2 (c) -0.1"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is -14 + -5689?"
},
{
"from": "gpt",
"value": "-5703"
}
] |
[
{
"from": "human",
"value": "What is -46 (base 10) in base 5?"
},
{
"from": "gpt",
"value": "-141"
}
] |
[
{
"from": "human",
"value": "5 divided by 59"
},
{
"from": "gpt",
"value": "5/59"
}
] |
[
{
"from": "human",
"value": "Is 293 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let o be ((-2)/(-16))/((-261)/(-696)). Solve -o + 1/3*u**3 - u**2 + u = 0 for u."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Solve -5*l - 2*g = -3*g + 30, 20 = -3*l + g for l."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Divide 1 by -2780."
},
{
"from": "gpt",
"value": "-1/2780"
}
] |
[
{
"from": "human",
"value": "What is ((-13)/(-26))/((-1)/10)?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 2/5? (a) -3/7 (b) 0.84 (c) -2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Work out -13 * 99."
},
{
"from": "gpt",
"value": "-1287"
}
] |
[
{
"from": "human",
"value": "What is the derivative of 694*b*t**2 - 16*b - 4*t**2 + 781 wrt b?"
},
{
"from": "gpt",
"value": "694*t**2 - 16"
}
] |
[
{
"from": "human",
"value": "What is (-10)/(-855)*-6*3/(-2)?"
},
{
"from": "gpt",
"value": "2/19"
}
] |
[
{
"from": "human",
"value": "Solve -2*j + 5*j = j for j."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose -2*o - t = -7, -2*o + 2*t + 1 = t. Let h be 1/o*6/1. Solve -9 = -h*r - f, 2*r - 14 = -0*f + 2*f for r."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let n be (-2)/4 - (-254)/4. Let s be 4/14 - 12/n. Is -1 at most s?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve 299*c = 285*c - 56 for c."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) 3/2 (b) 0.1 (c) 4/3 (d) 1"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the value of 9/((-252)/98) + (0 - -4)?"
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "Do 11 and 142 have different values?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose -p**4/2 - 5*p**3/2 + 8*p**2 + 34*p + 24 = 0. Calculate p."
},
{
"from": "gpt",
"value": "-6, -2, -1, 4"
}
] |
[
{
"from": "human",
"value": "In base 9, what is -425 + 4?"
},
{
"from": "gpt",
"value": "-421"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:30 AM and 11:13 AM?"
},
{
"from": "gpt",
"value": "283"
}
] |
[
{
"from": "human",
"value": "What is the k'th term of -629, -627, -625, -623, -621, -619?"
},
{
"from": "gpt",
"value": "2*k - 631"
}
] |
[
{
"from": "human",
"value": "Let v = -1.6 + 0.6. Let o = -11 + 12. Let w = 1 + -1. Which is the closest to v? (a) w (b) o (c) 3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose -3*p + 3 = 6. What is the units digit of (1 - 3) + p + 15?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Determine r so that -2*r**2 + 250*r - 492 = 0."
},
{
"from": "gpt",
"value": "2, 123"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 36 - 36 - 3*w**2 - 2*w**3 wrt w."
},
{
"from": "gpt",
"value": "-12"
}
] |
[
{
"from": "human",
"value": "Let i be (-3)/(-12)*2*4. Suppose 5*o - 3*l - 14 = l, 4*l - 28 = -i*o. What is the units digit of o?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let c be -3 + (1 - -3) + -9. Let d be (12/c)/((-2)/4). Solve -5*l = k + 20, -2*l - 5*k = d*l + 40 for l."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 189 and 216?"
},
{
"from": "gpt",
"value": "1512"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -o + 2*t - 3, -34 = -5*o - 5*t - 4 for o."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 2776?"
},
{
"from": "gpt",
"value": "2, 347"
}
] |
[
{
"from": "human",
"value": "Let h be 6 + -2*(-2)/4. Sort 1, 2, h."
},
{
"from": "gpt",
"value": "1, 2, h"
}
] |
[
{
"from": "human",
"value": "Suppose 12*y - 14 = -2. Let u be (-24)/(-9) + 1/3. Put 2, y, u in decreasing order."
},
{
"from": "gpt",
"value": "u, 2, y"
}
] |
[
{
"from": "human",
"value": "1*125"
},
{
"from": "gpt",
"value": "125"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(143) + -4*sqrt(143)*-4 - sqrt(143))/(sqrt(1331)*1 + sqrt(1331) - sqrt(1331))."
},
{
"from": "gpt",
"value": "16*sqrt(13)/11"
}
] |
[
{
"from": "human",
"value": "Suppose -45 = 4*s + r, -5*s - 63 = -3*r + 2*r. Let b(h) = h**3 + h**2 - 4*h - 1. Let c be b(3). Let v = s + c. Is v a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "(5 - 5 - (-1)/(-2))*4"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "-5*-1"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Is 68041 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose 5*k - 23 = 12. Suppose -2*i + k + 3 = 0. Suppose 0 = m - r - 6, -3*r + 70 = i*m - 0*m. Calculate the remainder when m is divided by 4."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose 5*l = c - 30, 2*l = -5*c + 24 + 18. Solve -c = -3*x + 2 for x."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Suppose -3*l + 7 = 1. Suppose -4*q - l - 10 = 0. Let i be (-18)/(-8) + 6/q. Which is smaller: i or -1?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let g(a) = -a**3 + 6*a**2 - a + 6. Determine g(5)."
},
{
"from": "gpt",
"value": "26"
}
] |
[
{
"from": "human",
"value": "Factor -3*v**2/5 - 12*v/5 + 36/5."
},
{
"from": "gpt",
"value": "-3*(v - 2)*(v + 6)/5"
}
] |
[
{
"from": "human",
"value": "Solve -s**4/3 - 256*s**3/3 + 1252*s**2 - 2160*s = 0."
},
{
"from": "gpt",
"value": "-270, 0, 2, 12"
}
] |
[
{
"from": "human",
"value": "Put 25, -7, -1, -9 in ascending order."
},
{
"from": "gpt",
"value": "-9, -7, -1, 25"
}
] |
[
{
"from": "human",
"value": "What is the next term in -148, -433, -900, -1543, -2356, -3333?"
},
{
"from": "gpt",
"value": "-4468"
}
] |
[
{
"from": "human",
"value": "Which is greater: -560 or -561?"
},
{
"from": "gpt",
"value": "-560"
}
] |
[
{
"from": "human",
"value": "What is the closest to -2 in -8, -1/4, 140?"
},
{
"from": "gpt",
"value": "-1/4"
}
] |
[
{
"from": "human",
"value": "Solve 5*y - 10 = 0, -h + 3*y = 2*h + 6 for h."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 15748."
},
{
"from": "gpt",
"value": "2, 31, 127"
}
] |
[
{
"from": "human",
"value": "Solve -209*h = -212*h - 12 for h."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Which is greater: 165 or 164?"
},
{
"from": "gpt",
"value": "165"
}
] |
[
{
"from": "human",
"value": "Solve 4*m + 0*m - 28 = 4*c, 0 = -c - 5 for m."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "In base 5, what is 121 + 4?"
},
{
"from": "gpt",
"value": "130"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(85)/(sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(35)/sqrt(7)*6)) - sqrt(5))."
},
{
"from": "gpt",
"value": "-sqrt(17)/6"
}
] |
[
{
"from": "human",
"value": "Suppose 13*z - 19*z = -18. Let -2/11*d**4 + 0*d + 4/11*d**z + 0 + 0*d**2 = 0. What is d?"
},
{
"from": "gpt",
"value": "0, 2"
}
] |
[
{
"from": "human",
"value": "What is 404 minutes before 8:47 AM?"
},
{
"from": "gpt",
"value": "2:03 AM"
}
] |
[
{
"from": "human",
"value": "Suppose -50 + 2 = -t. Let m be (-3)/4*t/(-2). Let p be 76/m + 12/(-54). Solve -4 = p*w, 2*f - 4*w = -3 - 3 for f."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let b(l) = 6 - l. Let v be b(5). Let x(s) = 16*s**3 - 1 + v - 14*s**2 + 7*s. Let m(t) = 16*t**3 - 13*t**2 + 6*t. Let q(r) = -6*m(r) + 5*x(r). Factor q(u)."
},
{
"from": "gpt",
"value": "-u*(4*u - 1)**2"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-2)/(-6))/((-27)/(-81))."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 152 is divided by 17?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -1 in 0.4, -3, 2?"
},
{
"from": "gpt",
"value": "0.4"
}
] |
[
{
"from": "human",
"value": "What comes next: 83, 167, 251?"
},
{
"from": "gpt",
"value": "335"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -3 in -5, 0.1, -2/7, 0.3?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "-879 - -0.5"
},
{
"from": "gpt",
"value": "-878.5"
}
] |
[
{
"from": "human",
"value": "Solve -6*f = 2 + 28 for f."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 2*c - 4*c + 4. Solve 4*l - 16 = -0*l + p, 0 = c*l + 4*p + 10 for l."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is 3148 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "56"
}
] |
[
{
"from": "human",
"value": "Determine g so that -20*g**5 - 32*g**4 + 76*g**3 - 24*g**2 = 0."
},
{
"from": "gpt",
"value": "-3, 0, 2/5, 1"
}
] |
[
{
"from": "human",
"value": "Solve -2*d = 4*j + 10, 12*j - 17*j - 14 = d for d."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Solve -2*z + 20 = -5*p, 0 = 3*p + 6*z - 2*z + 12 for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is -3980 divided by -995?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Calculate ((-4)/4)/(3*(-5)/(-6))."
},
{
"from": "gpt",
"value": "-2/5"
}
] |
[
{
"from": "human",
"value": "Let h be ((-2)/4)/(2/20). Suppose -4*x + 12 = -k, 3*x + 2 = -k - k. Sort x, 0, h in decreasing order."
},
{
"from": "gpt",
"value": "x, 0, h"
}
] |
[
{
"from": "human",
"value": "Suppose 6*c = -5*k - 0*k + 151286, -5*k + 3*c + 151322 = 0. Does 5 divide k?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of 1/4 and 50/883."
},
{
"from": "gpt",
"value": "3532"
}
] |
[
{
"from": "human",
"value": "Let m = 14 + -9. Let k be (-10)/2*(-36)/m. Let z = 3 + k. What is the remainder when z is divided by 10?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -3*r + r + 28. Suppose 5*s - 4*s + 3*g - 8 = 0, 4*s - r = -3*g. Let q be (-2 + -3)*(-1 - 1). Solve 0*j + q = -s*j for j."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the eighth root of 4433 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 4*n - 3*h + 235, -75 - 59 = 2*n + 4*h. Let f = 108 + n. List the prime factors of f."
},
{
"from": "gpt",
"value": "47"
}
] |
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