conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Differentiate -866*d**3*r**3 + 1104*d**3 + d**2*r**3 with respect to r."
},
{
"from": "gpt",
"value": "-2598*d**3*r**2 + 3*d**2*r**2"
}
] |
[
{
"from": "human",
"value": "Divide 3999 by -4."
},
{
"from": "gpt",
"value": "-3999/4"
}
] |
[
{
"from": "human",
"value": "What is the next term in -1938, -1287, -626, 51, 750, 1477, 2238, 3039?"
},
{
"from": "gpt",
"value": "3886"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in -4, -0.3, 39, -0.4, 4/5?"
},
{
"from": "gpt",
"value": "-0.4"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-124)/651)/(6/(-21))?"
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "Let y(b) be the first derivative of 2 + b + 5/6*b**4 - 8/3*b**3 - 4*b**2. Let o(i) be the first derivative of y(i). Factor o(c)."
},
{
"from": "gpt",
"value": "2*(c - 2)*(5*c + 2)"
}
] |
[
{
"from": "human",
"value": "Let 48*a**4/5 - 243*a**3/5 + 399*a**2/5 - 216*a/5 + 12/5 = 0. What is a?"
},
{
"from": "gpt",
"value": "1/16, 1, 2"
}
] |
[
{
"from": "human",
"value": "What is 92 minutes before 8:50 PM?"
},
{
"from": "gpt",
"value": "7:18 PM"
}
] |
[
{
"from": "human",
"value": "Solve -g - 28 = 3*g + 4*u, 3*u + 24 = -4*g for g."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0 in 0.4, 1.1, 4, 42?"
},
{
"from": "gpt",
"value": "0.4"
}
] |
[
{
"from": "human",
"value": "Convert 657.1563l to millilitres."
},
{
"from": "gpt",
"value": "657156.3"
}
] |
[
{
"from": "human",
"value": "Suppose 430 = -5*q - 70. Let f be (24/q)/(3/(-20)). Factor 8/5*v**4 - 6/5*v**2 + f*v**3 + 2/5 - 4/5*v."
},
{
"from": "gpt",
"value": "2*(v + 1)**2*(2*v - 1)**2/5"
}
] |
[
{
"from": "human",
"value": "Rearrange ((-3 + 0 + 1)*(2 - 3 + 0) + 0 + 2 - 3)*(580*y + 433*y - 130*y) to u*y + p and give u."
},
{
"from": "gpt",
"value": "883"
}
] |
[
{
"from": "human",
"value": "Solve -5*i**2 + 17580*i - 15452820 = 0 for i."
},
{
"from": "gpt",
"value": "1758"
}
] |
[
{
"from": "human",
"value": "(8/(-12))/(4*15/36)"
},
{
"from": "gpt",
"value": "-2/5"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -0*q - 5*q. What is the remainder when 5 is divided by ((q - -2)*2)/2?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Simplify (-4*(sqrt(56) - sqrt(56)*2 - sqrt(56)))/(sqrt(128)*6)."
},
{
"from": "gpt",
"value": "sqrt(7)/3"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 134731368*r**2 - 240*r + 479387?"
},
{
"from": "gpt",
"value": "269462736"
}
] |
[
{
"from": "human",
"value": "Let q = -662 + 662. Which is smaller: q or 3/508?"
},
{
"from": "gpt",
"value": "q"
}
] |
[
{
"from": "human",
"value": "Suppose u + 3*q - 57 = 0, -3*q - q = -u + 78. Let n = u + -31. Calculate the remainder when n is divided by 12."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "2*(2 + -1)*3/9"
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "-1*-29.55"
},
{
"from": "gpt",
"value": "29.55"
}
] |
[
{
"from": "human",
"value": "What is 0.013941 - 5?"
},
{
"from": "gpt",
"value": "-4.986059"
}
] |
[
{
"from": "human",
"value": "What is the t'th term of -13, -75, -245, -577, -1125, -1943?"
},
{
"from": "gpt",
"value": "-9*t**3 + t - 5"
}
] |
[
{
"from": "human",
"value": "Factor 2*x**3 - 4*x**2 - 5 + 0*x**3 + 6*x**2 - 3 - 8*x."
},
{
"from": "gpt",
"value": "2*(x - 2)*(x + 1)*(x + 2)"
}
] |
[
{
"from": "human",
"value": "Let f = 8 + -7. Which is the closest to 0.1? (a) -0.4 (b) f (c) 0"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the value of (-2 - -1) + -4 - -2?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Simplify (1*sqrt(78))/sqrt(6) + 2 + (-1 + sqrt(117))*6."
},
{
"from": "gpt",
"value": "-4 + 19*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Is 73 a factor of 24017?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "-2.159 times -2"
},
{
"from": "gpt",
"value": "4.318"
}
] |
[
{
"from": "human",
"value": "Differentiate 3684*i**3 - 3833 with respect to i."
},
{
"from": "gpt",
"value": "11052*i**2"
}
] |
[
{
"from": "human",
"value": "Solve 5*d + z - 5 = 0, -5*d + 1 = -3*z - 4 for d."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose -5*q**3 + 70*q**2 + 160*q = 0. What is q?"
},
{
"from": "gpt",
"value": "-2, 0, 16"
}
] |
[
{
"from": "human",
"value": "Let d = -35 - -57. Is d a multiple of 11?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 3, what is -22 - 10?"
},
{
"from": "gpt",
"value": "-102"
}
] |
[
{
"from": "human",
"value": "-103 (base 6) to base 13"
},
{
"from": "gpt",
"value": "-30"
}
] |
[
{
"from": "human",
"value": "List the prime factors of -1 + 30 + (-8 - -9)."
},
{
"from": "gpt",
"value": "2, 3, 5"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 4*o - 2*x + x - 27, -3*o - 4*x + 25 = 0. Let i(z) = 5*z**2 + z + 1. Let q be i(-1). Let h = 8 - q. Solve 10 = -h*y - w + 3*w, -y - o = 3*w for y."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 2/5? (a) 2/25 (b) 0.3 (c) -4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Suppose 7*l = -2*l + 1989. Is l a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let q(j) be the second derivative of 0 + 3*j - 5/2*j**2 + 1/3*j**3. Let v be q(4). Solve z = v*z + 6 for z."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Which is greater: -1 or 3/241?"
},
{
"from": "gpt",
"value": "3/241"
}
] |
[
{
"from": "human",
"value": "What is the next term in 49, 44, 39, 34, 29?"
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "Solve 4*j - 11 = 4*m + 13, -2*m = -5*j + 27 for j."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let o(y) be the second derivative of -7*y**5/10 - y**4/12 - 3*y. Let p be o(-1). Calculate the highest common factor of 65 and p."
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Suppose 2*g - 6 = -g. Suppose -i = 1 + g, 1 = r + i. Which is smaller: r or 3?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let z = 0.05 + -0.1. Let l = -0.35 + z. Let p = -18 - -127/7. Which is the closest to 1/3? (a) l (b) p (c) 0.5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -3221 or -3222?"
},
{
"from": "gpt",
"value": "-3222"
}
] |
[
{
"from": "human",
"value": "What is the next term in -9922, -9923, -9924?"
},
{
"from": "gpt",
"value": "-9925"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of (-1 - -69)/(19/76)?"
},
{
"from": "gpt",
"value": "2, 17"
}
] |
[
{
"from": "human",
"value": "Let p = -40 - -41. Which is the smallest value? (a) p (b) -2/3 (c) -0.5 (d) -1"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Let -2*k**3/11 + 12*k**2/11 - 10*k/11 = 0. What is k?"
},
{
"from": "gpt",
"value": "0, 1, 5"
}
] |
[
{
"from": "human",
"value": "Solve -618 = v - 615 for v."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What comes next: -1253, -1219, -1123, -935, -625, -163?"
},
{
"from": "gpt",
"value": "481"
}
] |
[
{
"from": "human",
"value": "What is 1932 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "44"
}
] |
[
{
"from": "human",
"value": "Let n = 0 - 0. Suppose -4*a + n*f - 32 = -3*f, -4*a - 16 = f. Let d be (84/(-10))/(2/a). Calculate the greatest common factor of 231 and d."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "What is 59.01541ms in microseconds?"
},
{
"from": "gpt",
"value": "59015.41"
}
] |
[
{
"from": "human",
"value": "What is the a'th term of 71, 61, 49, 35, 19, 1?"
},
{
"from": "gpt",
"value": "-a**2 - 7*a + 79"
}
] |
[
{
"from": "human",
"value": "Solve -10*t = 2*t for t."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let x be (-1454)/30 - (-5 - -3). Let j = x + 325/6. What is the common denominator of j and -21/4?"
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "Solve 12*d - 220 = -100 for d."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of -63/5 and -44/1087."
},
{
"from": "gpt",
"value": "5435"
}
] |
[
{
"from": "human",
"value": "Let u(m) be the third derivative of m**5/24 + m**4/4 + m**3/3 - 13*m**2. Find t such that u(t) = 0."
},
{
"from": "gpt",
"value": "-2, -2/5"
}
] |
[
{
"from": "human",
"value": "What is the next term in -22, -97, -292, -667, -1282, -2197, -3472, -5167?"
},
{
"from": "gpt",
"value": "-7342"
}
] |
[
{
"from": "human",
"value": "Suppose 22 = 10*i - 8*i. Solve 0 = -i*x + 6*x for x."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "386 divided by -6"
},
{
"from": "gpt",
"value": "-193/3"
}
] |
[
{
"from": "human",
"value": "Suppose d**2/6 + 38*d - 230/3 = 0. Calculate d."
},
{
"from": "gpt",
"value": "-230, 2"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of -53, -51, -49?"
},
{
"from": "gpt",
"value": "2*u - 55"
}
] |
[
{
"from": "human",
"value": "2529 + 371"
},
{
"from": "gpt",
"value": "2900"
}
] |
[
{
"from": "human",
"value": "Suppose 4*d - 6863634 = -2*z + 6685946, -4*z = 4*d - 13549572. Let t = d + -1487397. What is t rounded to the nearest one million?"
},
{
"from": "gpt",
"value": "2000000.0"
}
] |
[
{
"from": "human",
"value": "Factor 31250*z**3/13 + 64500*z**2/13 + 4032*z/13 + 64/13."
},
{
"from": "gpt",
"value": "2*(z + 2)*(125*z + 4)**2/13"
}
] |
[
{
"from": "human",
"value": "Simplify (5*(4*sqrt(6)/sqrt(3) - sqrt(2)))**2."
},
{
"from": "gpt",
"value": "450"
}
] |
[
{
"from": "human",
"value": "Differentiate -2*a*s**3 - 232*a*s - 2*s**3 + 43 with respect to a."
},
{
"from": "gpt",
"value": "-2*s**3 - 232*s"
}
] |
[
{
"from": "human",
"value": "Round 78028000 to the nearest 100000."
},
{
"from": "gpt",
"value": "78000000.0"
}
] |
[
{
"from": "human",
"value": "What is the value of (3 - (-128)/24) + 2/3?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Solve -11*s - 52 - 3 = 0 for s."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let w(q) = -q**3 + q**2 + 4. Let i be w(2). Let k(z) = -z**2 - 4*z - 1. Let c be k(-4). Sort i, c, -5."
},
{
"from": "gpt",
"value": "-5, c, i"
}
] |
[
{
"from": "human",
"value": "Let l(u) be the first derivative of -1/600*u**6 - 1/30*u**3 + 1/300*u**5 + 0*u + u**2 + 1/120*u**4 - 1. Let c(j) be the second derivative of l(j). Factor c(w)."
},
{
"from": "gpt",
"value": "-(w - 1)**2*(w + 1)/5"
}
] |
[
{
"from": "human",
"value": "What is 6/25 of a millennium in years?"
},
{
"from": "gpt",
"value": "240"
}
] |
[
{
"from": "human",
"value": "What is the next term in -1166, -2331, -3496, -4661?"
},
{
"from": "gpt",
"value": "-5826"
}
] |
[
{
"from": "human",
"value": "Let s(l) = 11 - 3 - l**2 + 9*l + l. Suppose -2*h + 61 = -o, o + 0*o = -5*h + 163. What is the remainder when h is divided by s(9)?"
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Solve 37 = 21*d + 121 for d."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What comes next: 24, 28, 10, -36, -116, -236, -402?"
},
{
"from": "gpt",
"value": "-620"
}
] |
[
{
"from": "human",
"value": "What is the l'th term of -31, -45, -55, -55, -39, -1, 65?"
},
{
"from": "gpt",
"value": "l**3 - 4*l**2 - 9*l - 19"
}
] |
[
{
"from": "human",
"value": "Suppose 4*j = -234 + 838. What are the prime factors of j?"
},
{
"from": "gpt",
"value": "151"
}
] |
[
{
"from": "human",
"value": "Let x(a) = 3*a. Let k(m) = 2*m. Let f be k(2). Let y = -39 + 84. What is the remainder when y is divided by x(f)?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Let q = 126448.99964 + -126462. Let c = -13 - q. What is c rounded to 4 decimal places?"
},
{
"from": "gpt",
"value": "0.0004"
}
] |
[
{
"from": "human",
"value": "Are 0.05 and 104 equal?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve -2*x - 1 = -5*m, 0*x + 2*x = -3*m + 7 for x."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of -723, -1377, -2035, -2697, -3363, -4033, -4707?"
},
{
"from": "gpt",
"value": "-2*w**2 - 648*w - 73"
}
] |
[
{
"from": "human",
"value": "What is the m'th term of -12, -37, -72, -123, -196?"
},
{
"from": "gpt",
"value": "-m**3 + m**2 - 21*m + 9"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 3*m + 4*m - 3*m + 10*m**4 + 4*m wrt m?"
},
{
"from": "gpt",
"value": "120*m**2"
}
] |
[
{
"from": "human",
"value": "How many nanograms are there in 155.6181 tonnes?"
},
{
"from": "gpt",
"value": "155618100000000000"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 1? (a) 2/13 (b) 3 (c) 0.15 (d) 0"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose 0*q = 4*q - 12. Suppose v + 8 = q*v. Suppose -v*b - 10 = -2*b, 5*x - 5 = -b. List the prime factors of x."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is (-12)/(-10)*3/6?"
},
{
"from": "gpt",
"value": "3/5"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 3397."
},
{
"from": "gpt",
"value": "43, 79"
}
] |
[
{
"from": "human",
"value": "Put -9, 1, -5, 5, -57 in descending order."
},
{
"from": "gpt",
"value": "5, 1, -5, -9, -57"
}
] |
[
{
"from": "human",
"value": "Let g(s) = s**2 - 9*s + 27. Let j be g(4). Solve -3*x - j*r + 25 = -2*r, -r + 5 = 3*x for x."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is 152674000 rounded to the nearest 100000?"
},
{
"from": "gpt",
"value": "152700000.0"
}
] |
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