conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "What is 2 times -24?"
},
{
"from": "gpt",
"value": "-48"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -299*b**3 - 304*b wrt b."
},
{
"from": "gpt",
"value": "-1794*b"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -9? (a) -2 (b) 3 (c) 2"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose -72*v + 99*v = 74*v - 939859. Is v a multiple of 12?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve -4*l - 83259 = -83255 for l."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let h(x) = -x**3 - 5*x**2 + 7*x + 3. Let s(n) = 7*n**3 + n**2 + n + 1. Let d be s(-1). Let w be h(d). Does 10 divide (-40)/w*6/4?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose -5*x + 3 = 3*q - 6, -4*q + 12 = 0. Let f = x + 1. What are the prime factors of 4 + (0 - 2) + f?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let s = 55/2 + -28. Let z = 36 + -34. Which is the nearest to -2/5? (a) 0.3 (b) z (c) s"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the units digit of 799?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Let i(u) = -3*u + 2*u**2 + 3*u**2 + 0*u**2 - 6. Let c(q) = -15*q**2 + 9*q + 17. Let p(h) = -6*c(h) - 17*i(h). What is the second derivative of p(x) wrt x?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Let c = 37 + -27. Suppose 2*r = 7*r - 55. Which is smaller: r or c?"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Convert 6.632191kg to nanograms."
},
{
"from": "gpt",
"value": "6632191000000"
}
] |
[
{
"from": "human",
"value": "Solve -w = -2*w + 4, -5*p + 2*w + 2 = 0 for p."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Rearrange 2*s + 27 + 36 - 58 to l*s + i and give l."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is 0 + (-4 - -2) - -2?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the third smallest value in 1/16, 21, 0.3?"
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common factor of 5 and 160."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let s be ((-50)/8)/(5/(-80)). Let m(d) = 2*d + 4. Let n be m(8). What is the greatest common divisor of s and n?"
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "What is 325 minutes after 1:09 AM?"
},
{
"from": "gpt",
"value": "6:34 AM"
}
] |
[
{
"from": "human",
"value": "What is the k'th term of -9, -19, -35, -57, -85?"
},
{
"from": "gpt",
"value": "-3*k**2 - k - 5"
}
] |
[
{
"from": "human",
"value": "Determine t, given that 2*t**2/9 + 10780*t/9 + 14526050/9 = 0."
},
{
"from": "gpt",
"value": "-2695"
}
] |
[
{
"from": "human",
"value": "Solve -4*w + 3*g = 23, -26*w + 8 = -27*w + 3*g for w."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Is 12510 a multiple of 9?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Work out 15.2 * -0.039."
},
{
"from": "gpt",
"value": "-0.5928"
}
] |
[
{
"from": "human",
"value": "Let f = 16 + -18. What is the smallest value in -1/4, 0.4, f?"
},
{
"from": "gpt",
"value": "f"
}
] |
[
{
"from": "human",
"value": "In base 9, what is -135 + 1?"
},
{
"from": "gpt",
"value": "-134"
}
] |
[
{
"from": "human",
"value": "Let i(z) = 5*z**2 - z + 1. Suppose 0 = -2*u - 0*u. Let n = 1 - u. Let y be i(n). Solve 4*a + 8 = 4*k, 2*a + 16 = 3*a + y*k for a."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the l'th term of 103, 104, 105, 106?"
},
{
"from": "gpt",
"value": "l + 102"
}
] |
[
{
"from": "human",
"value": "What is the biggest value in -0.5, -6, 1/4, -2?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "Suppose -3*p - 81 = -93. Factor 2/3 - 4/3*u**2 + 2/3*u**p + 0*u + 0*u**3."
},
{
"from": "gpt",
"value": "2*(u - 1)**2*(u + 1)**2/3"
}
] |
[
{
"from": "human",
"value": "Let f(p) = 12 - 285*p. Let t(x) = 2. Give f(h) - 6*t(h)."
},
{
"from": "gpt",
"value": "-285*h"
}
] |
[
{
"from": "human",
"value": "Which is greater: 2/9 or 31?"
},
{
"from": "gpt",
"value": "31"
}
] |
[
{
"from": "human",
"value": "Let m(b) be the third derivative of -b**6/24 + 14*b**2. Factor m(y)."
},
{
"from": "gpt",
"value": "-5*y**3"
}
] |
[
{
"from": "human",
"value": "-3 times -106"
},
{
"from": "gpt",
"value": "318"
}
] |
[
{
"from": "human",
"value": "Solve 3*n = -9, n = -4*h + 2*h - 9 for h."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Multiply 2 and 34."
},
{
"from": "gpt",
"value": "68"
}
] |
[
{
"from": "human",
"value": "Let a(c) = 5*c**2 - 3*c + 27. Let f(o) = -11*o**2 + 7*o - 55. Let i(r) = 7*a(r) + 3*f(r). What is the first derivative of i(k) wrt k?"
},
{
"from": "gpt",
"value": "4*k"
}
] |
[
{
"from": "human",
"value": "Put -5, 10, 7 in descending order."
},
{
"from": "gpt",
"value": "10, 7, -5"
}
] |
[
{
"from": "human",
"value": "Solve 3*f + 5*l - l - 4 = 0, -4 = -4*l for f."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Solve -14*g = -4*n - 9*g - 7, -n - g = 4 for n."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is 568 divided by -1?"
},
{
"from": "gpt",
"value": "-568"
}
] |
[
{
"from": "human",
"value": "3 divided by 85"
},
{
"from": "gpt",
"value": "3/85"
}
] |
[
{
"from": "human",
"value": "Sort 438, -1, -12, 0 in descending order."
},
{
"from": "gpt",
"value": "438, 0, -1, -12"
}
] |
[
{
"from": "human",
"value": "Which is greater: 11 or 69?"
},
{
"from": "gpt",
"value": "69"
}
] |
[
{
"from": "human",
"value": "Convert -130201132 (base 4) to base 12."
},
{
"from": "gpt",
"value": "-5773a"
}
] |
[
{
"from": "human",
"value": "Simplify 5*(((sqrt(140)*3 + sqrt(140) - sqrt(140)) + sqrt(140))*3)/(sqrt(7) + (sqrt(1008)*3 - sqrt(1008))) + -3."
},
{
"from": "gpt",
"value": "-3 + 24*sqrt(5)/5"
}
] |
[
{
"from": "human",
"value": "Let c = 22 + -20. Let f(m) = 2*m + 2 + 4 - 10. Let k be f(3). Solve k*i - 6 = c for i."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let m(l) = 60*l - 41. Is m(13) a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate 4 divided by -23."
},
{
"from": "gpt",
"value": "-4/23"
}
] |
[
{
"from": "human",
"value": "Let j(t) be the first derivative of -5*t**7/7 + 4*t**3/3 + 1. Find the third derivative of j(a) wrt a."
},
{
"from": "gpt",
"value": "-600*a**3"
}
] |
[
{
"from": "human",
"value": "Factor -4*c**3 + 628*c**2 + 1284*c - 1908."
},
{
"from": "gpt",
"value": "-4*(c - 159)*(c - 1)*(c + 3)"
}
] |
[
{
"from": "human",
"value": "Let r be 6/(-4) - 21/14. Calculate the remainder when r - (-7)/((-21)/(-54)) is divided by 9."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Total of 71324 and 0.2."
},
{
"from": "gpt",
"value": "71324.2"
}
] |
[
{
"from": "human",
"value": "Factor c**3/8 - 7*c**2/8 - 17*c/4 + 5."
},
{
"from": "gpt",
"value": "(c - 10)*(c - 1)*(c + 4)/8"
}
] |
[
{
"from": "human",
"value": "Let c(m) = 2*m + 1. Suppose 0 = -5*q - j + 28, 2*j - 16 = -2*q - 0*j. Let f be c(q). Factor 30 + f*t**2 - 8*t**2 - 3 + 18*t."
},
{
"from": "gpt",
"value": "3*(t + 3)**2"
}
] |
[
{
"from": "human",
"value": "What is 8.053185t in grams?"
},
{
"from": "gpt",
"value": "8053185"
}
] |
[
{
"from": "human",
"value": "Let o = 14740/3 + -4999. Let q = 85 + o. Suppose -4*w = -5*w + 1. Which is smaller: q or w?"
},
{
"from": "gpt",
"value": "q"
}
] |
[
{
"from": "human",
"value": "In base 6, what is 443240 + 5?"
},
{
"from": "gpt",
"value": "443245"
}
] |
[
{
"from": "human",
"value": "Let q(f) be the second derivative of -f**4/24 - 2*f**3/3 - f**2 + 2*f. Let l(g) be the first derivative of q(g). Let s be l(-6). Solve -s*o + 2 + 0 = 0 for o."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let c be (-486)/14 - 6/21. Let p be (-6)/(-21) + (-4)/c. Factor 2/5 - 4/5*o + p*o**2."
},
{
"from": "gpt",
"value": "2*(o - 1)**2/5"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -224*v**5 - 5*v - 5 wrt v."
},
{
"from": "gpt",
"value": "-4480*v**3"
}
] |
[
{
"from": "human",
"value": "What is the s'th term of -2, -20, -56, -110, -182, -272?"
},
{
"from": "gpt",
"value": "-9*s**2 + 9*s - 2"
}
] |
[
{
"from": "human",
"value": "Let g = 29 - 27. Solve g*k + 6 = 3*k - 5*v, k + 2*v = -8 for k."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Solve 3*a**4/4 - 3*a**3/2 - 21*a**2/4 + 15*a - 9 = 0."
},
{
"from": "gpt",
"value": "-3, 1, 2"
}
] |
[
{
"from": "human",
"value": "Suppose -6 = -f + 4*f. Let m be (3 - f) + -2 + -45. Is (23/(-2))/(3/m) a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let r(a) = a**3 + 6*a**2 + 7*a. Let g be r(-4). Solve -g*b - 8 - 8 = 0 for b."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 10/2*105/7 + 2."
},
{
"from": "gpt",
"value": "7, 11"
}
] |
[
{
"from": "human",
"value": "Let x = -6 - -11. Suppose -106 = -x*s - 26. Is s a multiple of 8?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Find b, given that 2*b**4 + 22714*b**3 + 656614*b**2 - 4644130*b + 3964800 = 0."
},
{
"from": "gpt",
"value": "-11328, -35, 1, 5"
}
] |
[
{
"from": "human",
"value": "Calculate the smallest common multiple of 622 and 18."
},
{
"from": "gpt",
"value": "5598"
}
] |
[
{
"from": "human",
"value": "What is the sixth root of 70 to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Divide -17831 by -148."
},
{
"from": "gpt",
"value": "17831/148"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 1/4, 2/7, -1, 92.8?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -2*z**4 + 27*z**3 + 6*z**2 - 7415*z?"
},
{
"from": "gpt",
"value": "-24*z**2 + 162*z + 12"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -100110101 + -1110?"
},
{
"from": "gpt",
"value": "-101000011"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 11278*k**3 - 7535*k?"
},
{
"from": "gpt",
"value": "67668*k"
}
] |
[
{
"from": "human",
"value": "Suppose -340 = -42*x + 32*x. Does 4 divide x?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let u(o) = o**3 - 7*o**2 + 5*o + 9. Let x be u(6). Suppose -5*v - 3*h = -126, 2*v + 9 = -x*h + 54. List the prime factors of v."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let g be (-4 - 32/(-10)) + (-102)/(-15). Let j(v) = -2*v**2 + v**3 + 8 + 5*v - 5*v**2 + 0*v**3. Let c be j(g). Solve 4*r + c = 2*r for r."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the s'th term of -37, -53, -79, -115, -161, -217?"
},
{
"from": "gpt",
"value": "-5*s**2 - s - 31"
}
] |
[
{
"from": "human",
"value": "What is the common denominator of 3/7204 and -63/76?"
},
{
"from": "gpt",
"value": "136876"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 2267941."
},
{
"from": "gpt",
"value": "13, 174457"
}
] |
[
{
"from": "human",
"value": "Let l(a) be the third derivative of -a**6/600 - a**5/30 - 4*a**4/15 - 16*a**3/15 - 25*a**2. Factor l(k)."
},
{
"from": "gpt",
"value": "-(k + 2)*(k + 4)**2/5"
}
] |
[
{
"from": "human",
"value": "Differentiate 206*f*p + 4271*f + p with respect to p."
},
{
"from": "gpt",
"value": "206*f + 1"
}
] |
[
{
"from": "human",
"value": "Is 2966 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Calculate -16 divided by 4."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose -34 = -3*i + i - 2*h, 3*h = -i + 15. Solve 4*j - i = -3*p + p, 0 = 5*j - p - 5 for j."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Evaluate (-4*(-9)/(-360))/((-1)/5)."
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "Is 95971 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Express -6*v**3 - v**3 + 5*v**3 + 55 - 12*v**3 - 55 + (0*v - 5*v + 3*v)*(v**2 + 0 + 0) in the form y*v**2 + c + j*v + r*v**3 and give r."
},
{
"from": "gpt",
"value": "-16"
}
] |
[
{
"from": "human",
"value": "Let w(n) = -n**2 - 4*n + 2. Let c be w(-5). Put 0, c, -5, -2 in descending order."
},
{
"from": "gpt",
"value": "0, -2, c, -5"
}
] |
[
{
"from": "human",
"value": "Solve -8*s + 55 - 95 = 0 for s."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is -8287034 rounded to the nearest 1000000?"
},
{
"from": "gpt",
"value": "-8000000.0"
}
] |
[
{
"from": "human",
"value": "Let v be 4/6 + (-1)/(-3). Let s be v - 11/((-3)/3). Solve -r = 3*r - m - 1, 0 = -2*r - 2*m - s for r."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Factor 2*m**4/13 + 114*m**3/13 + 1620*m**2/13 + 8856*m/13 + 1296."
},
{
"from": "gpt",
"value": "2*(m + 6)**3*(m + 39)/13"
}
] |
[
{
"from": "human",
"value": "Let g(l) be the first derivative of 2 + l - 1/54*l**4 + 0*l**2 - 1/27*l**3. Let i(m) be the first derivative of g(m). Factor i(u)."
},
{
"from": "gpt",
"value": "-2*u*(u + 1)/9"
}
] |
[
{
"from": "human",
"value": "Simplify (-5*-3*sqrt(190))/(sqrt(160) - ((sqrt(160) - ((sqrt(160)*-1 - sqrt(160)) + sqrt(160))) + sqrt(160)) - sqrt(160))."
},
{
"from": "gpt",
"value": "-5*sqrt(19)/4"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1 in 2/3, -1/4, -0.1, 1?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let g = -0.25 - -11.25. Let y = g - 10. Let u be (1/(-2))/((-17)/(-4)). What is the closest to y in u, -2/5, 0.1?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "What is 896334.9 nanograms in tonnes?"
},
{
"from": "gpt",
"value": "0.0000000008963349"
}
] |
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