conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "What is thirteen eighths of a gram in milligrams?"
},
{
"from": "gpt",
"value": "1625"
}
] |
[
{
"from": "human",
"value": "What is 7212 to the power of 1/8, to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Find the common denominator of -117/28615000 and 77/50440."
},
{
"from": "gpt",
"value": "371995000"
}
] |
[
{
"from": "human",
"value": "Is 532241 a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 46406?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "-1980 divided by 495"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the value of (-132)/(-336) - (-1)/(-4)?"
},
{
"from": "gpt",
"value": "1/7"
}
] |
[
{
"from": "human",
"value": "Let v be ((-7)/(-3))/(4/(-12)). Let o = 1 - v. What is the remainder when o is divided by ((-1)/(-3))/(2/18)?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 892091086."
},
{
"from": "gpt",
"value": "2, 4877, 91459"
}
] |
[
{
"from": "human",
"value": "Let h be (-8)/36 + 112/18. Let k be 20/h + (-6)/(-9). Solve 3*o + k*r - 3 = 0, 4*o - 6*r = -4*r + 4 for o."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let q be ((-1)/2)/(1/(-2)). Let y be (-6)/(-15)*10/q. Let k = 8 + -4. Solve k*v - 8 = -3*u - 35, -y*v - 22 = 2*u for v."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let a = -12 + 9. Let m(n) = n**2 + n - 3. Let p be m(a). Solve -19 = -2*u - p*c - 4, 2*u = c + 3 for u."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let j(a) = 2*a**2 + 8*a + 13. Let q be j(-5). What is the greatest common divisor of 69 and q?"
},
{
"from": "gpt",
"value": "23"
}
] |
[
{
"from": "human",
"value": "Simplify ((3*(sqrt(17) - sqrt(272)) - sqrt(17)) + (sqrt(17) - sqrt(34)/sqrt(2)) + -4)**2."
},
{
"from": "gpt",
"value": "80*sqrt(17) + 1716"
}
] |
[
{
"from": "human",
"value": "In base 6, what is -2 - 31?"
},
{
"from": "gpt",
"value": "-33"
}
] |
[
{
"from": "human",
"value": "Let v(k) = 3*k + 2. Suppose -5*i + 10 = -5*x, 4*i + 0*x - 2*x - 6 = 0. Let h be i + -3 - -6 - 1. List the prime factors of v(h)."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let t be ((-4)/(-7))/(4/14). Let x = 6 - t. Let d = -11 - -31. Solve -v + d = x*v for v."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let o = 2.2 + 0.8. What is the third smallest value in 0.3, -15, o?"
},
{
"from": "gpt",
"value": "o"
}
] |
[
{
"from": "human",
"value": "4/1*((-4)/1)/24"
},
{
"from": "gpt",
"value": "-2/3"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 3079 to the nearest integer?"
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(34) + 5*sqrt(136) + sqrt(34))/sqrt(2))**2 + -4."
},
{
"from": "gpt",
"value": "2444"
}
] |
[
{
"from": "human",
"value": "Round -115000 to the nearest ten thousand."
},
{
"from": "gpt",
"value": "-120000.0"
}
] |
[
{
"from": "human",
"value": "Suppose 16*d = 12*d + 8. Solve 5*f = -3*g - 16, 6*f - d*f = -4*g - 16 for g."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let l = 0.4 - 0.43. Let p = l + 0.036. Round p to 3 dps."
},
{
"from": "gpt",
"value": "0.006"
}
] |
[
{
"from": "human",
"value": "What is 53235 to the power of 1/8, to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the product of 1 and 6783?"
},
{
"from": "gpt",
"value": "6783"
}
] |
[
{
"from": "human",
"value": "Let m(w) = -5*w - 7*w**3 + 5*w + 6*w**4 + 6*w**2 - 2*w - 3*w. Let j(z) = -3*z**4 + 3*z**3 - 3*z**2 + 3*z. Let b(t) = -5*j(t) - 3*m(t). Factor b(x)."
},
{
"from": "gpt",
"value": "-3*x**2*(x - 1)**2"
}
] |
[
{
"from": "human",
"value": "Solve 11*a + 14 = 25 for a."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose 0*i + 7*i = 11305. What is the thousands digit of i?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let u = -41.1 - -39. Let s = 0.1 + u. Which is the second biggest value? (a) 2/9 (b) s (c) 2"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What comes next: -27, -29, -39, -63, -107, -177, -279?"
},
{
"from": "gpt",
"value": "-419"
}
] |
[
{
"from": "human",
"value": "Let a be 5*(26/20 - (-2)/(-4)). Solve 5*o = 4*k + 17, o = a*k - 6 + 3 for o."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the o'th term of -190, -376, -540, -670, -754?"
},
{
"from": "gpt",
"value": "2*o**3 - o**2 - 197*o + 6"
}
] |
[
{
"from": "human",
"value": "Calculate -2.07*0.2."
},
{
"from": "gpt",
"value": "-0.414"
}
] |
[
{
"from": "human",
"value": "Which is bigger: -2074 or -2076?"
},
{
"from": "gpt",
"value": "-2074"
}
] |
[
{
"from": "human",
"value": "Suppose -10*c + 110 = c. Solve -3*v + c = 2*v for v."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Simplify ((f*f*f**(-13)*f)/f)/f*(f*f/(f*f**0/f*f*f))/f assuming f is positive."
},
{
"from": "gpt",
"value": "f**(-13)"
}
] |
[
{
"from": "human",
"value": "Divide 1854 by -927."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of 853, 1567, 2295, 3043, 3817, 4623?"
},
{
"from": "gpt",
"value": "w**3 + w**2 + 704*w + 147"
}
] |
[
{
"from": "human",
"value": "Work out -0.3 * 0.4."
},
{
"from": "gpt",
"value": "-0.12"
}
] |
[
{
"from": "human",
"value": "Suppose 0*l + 3*l = 15. Suppose -11*m + 12*m - 5 = 0. Solve 0*g - l*g = m for g."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -53*y**2 + 101*y**2 - 5*y**3 - 48*y**2."
},
{
"from": "gpt",
"value": "-5*y**3"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) -102 (b) -0.7 (c) 5/6"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let a(p) = 26 - 3*p. Let d(c) = c - 9. Let u(r) = 6*a(r) + 17*d(r). Let q be u(2). Solve -3*l - q = -13 for l."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is -2910 divided by 97?"
},
{
"from": "gpt",
"value": "-30"
}
] |
[
{
"from": "human",
"value": "What is the fifth root of 17934 to the nearest integer?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "In base 7, what is 243 - 4?"
},
{
"from": "gpt",
"value": "236"
}
] |
[
{
"from": "human",
"value": "What is the thousands digit of 1072284971?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let w(g) = -15*g. Let m(q) be the first derivative of q**3/3 + 15. Determine w(m(p))."
},
{
"from": "gpt",
"value": "-15*p**2"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -m**3 + 180*m**2 + 18*m?"
},
{
"from": "gpt",
"value": "360 - 6*m"
}
] |
[
{
"from": "human",
"value": "What is 283 minutes before 1:40 AM?"
},
{
"from": "gpt",
"value": "8:57 PM"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -1 in -46, 2/3, -2?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 88 to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the next term in -12, 135, 282?"
},
{
"from": "gpt",
"value": "429"
}
] |
[
{
"from": "human",
"value": "Add together 213.33 and 93334."
},
{
"from": "gpt",
"value": "93547.33"
}
] |
[
{
"from": "human",
"value": "Let r = 0.06 + 3.94. Let f = 0.6 - 9.6. Let d = f + r. What is the biggest value in d, 1/4, -3/8?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "Is 14 a factor of (-44265)/(-260) - (1 + (-6)/8)?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the closest to -2 in -2, 0.6, -1/4?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve 5*w = -3*u - 5, 5*w - 5 = 6*u - 7*u for u."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve 189*t + 1269 = 2*t - 1723 for t."
},
{
"from": "gpt",
"value": "-16"
}
] |
[
{
"from": "human",
"value": "23 + -15 - ((-8 - 1) + (12 - 8))"
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(280)*-2 + sqrt(280))/sqrt(8))/(3*sqrt(20))."
},
{
"from": "gpt",
"value": "-sqrt(7)/6"
}
] |
[
{
"from": "human",
"value": "What is the value of (-10)/(-5) + (-9)/3?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let u be (-80)/12*(-15)/2. What is the highest common divisor of u and 25?"
},
{
"from": "gpt",
"value": "25"
}
] |
[
{
"from": "human",
"value": "Expand (-2*r**2 - 4*r**2 + 5*r**2)*(-20*r - 5*r + 0*r) + (2*r + 3 - 3)*(-4 - 2*r**2 + 4)."
},
{
"from": "gpt",
"value": "21*r**3"
}
] |
[
{
"from": "human",
"value": "What is the closest to 1 in 0.2, -2/9, 0.3, 2/3?"
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 453844?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Let q = -144 - -249. Suppose q = -2*i + 7*i. Let t be 2/4 - i/(-6). Which is the nearest to -1? (a) 1/3 (b) t (c) -0.3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "How many years are there in 21/4 of a millennium?"
},
{
"from": "gpt",
"value": "5250"
}
] |
[
{
"from": "human",
"value": "Let l be 15/(-6)*30/(-25). Let v = -3 - -2.5. Let w = v + 0.5. Which is the closest to -0.2? (a) -0.3 (b) w (c) l"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the square root of 4462 to the nearest integer?"
},
{
"from": "gpt",
"value": "67"
}
] |
[
{
"from": "human",
"value": "Solve -5 = -2*s - 5*y, -4*y = s - 6*s - 37 for s."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let q(u) = -u**3 - 5*u**2 - 5*u + 6. List the prime factors of q(-5)."
},
{
"from": "gpt",
"value": "31"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 33 and 54?"
},
{
"from": "gpt",
"value": "594"
}
] |
[
{
"from": "human",
"value": "Product of -767.3 and -0.1."
},
{
"from": "gpt",
"value": "76.73"
}
] |
[
{
"from": "human",
"value": "What is the third root of 24507 to the nearest integer?"
},
{
"from": "gpt",
"value": "29"
}
] |
[
{
"from": "human",
"value": "Convert -5a (base 12) to base 8."
},
{
"from": "gpt",
"value": "-106"
}
] |
[
{
"from": "human",
"value": "Solve g + 4*g = -2*r - 25, g - 5*r - 22 = 0 for g."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Suppose -4 = 2*f - 10. Solve d = 4*c - d + 2, f*d + 3 = 3*c for c."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 33629?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "200 (base 7) to base 13"
},
{
"from": "gpt",
"value": "77"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -c - 3*k - 14 + 10, -k - 16 = 4*c for c."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Simplify ((1*sqrt(363))/sqrt(11))/(sqrt(3) - sqrt(6)/sqrt(32))."
},
{
"from": "gpt",
"value": "4*sqrt(11)/3"
}
] |
[
{
"from": "human",
"value": "Calculate prob of picking 3 w when three letters picked without replacement from {v: 1, h: 5, w: 3, f: 1, g: 1}."
},
{
"from": "gpt",
"value": "1/165"
}
] |
[
{
"from": "human",
"value": "Are 16.852351 and 0.1 nonequal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Evaluate 6 - (2 - -5) - (-1 + -6)."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 17839*p**2 + 17823*p**2 - 35650*p**2."
},
{
"from": "gpt",
"value": "12*p**2"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 5? (a) -5/3 (b) -0.38 (c) 2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the highest common factor of 420 and 14?"
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Solve 5*h = 4*h - 5 for h."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Expand -n**4 + 4*n**4 - 5*n**4 + (3*n**2 - 2*n**3 - 3*n**2)*(2*n + 1 - 1)."
},
{
"from": "gpt",
"value": "-6*n**4"
}
] |
[
{
"from": "human",
"value": "Let b = 26 - 21. Find the third derivative of g**5 - g**2 + 3*g**2 + 0*g**b wrt g."
},
{
"from": "gpt",
"value": "60*g**2"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(102)/(1*sqrt(384))*5."
},
{
"from": "gpt",
"value": "5*sqrt(17)/8"
}
] |
[
{
"from": "human",
"value": "Convert -5 (base 6) to base 2."
},
{
"from": "gpt",
"value": "-101"
}
] |
[
{
"from": "human",
"value": "Work out 0.0362 + -6.1."
},
{
"from": "gpt",
"value": "-6.0638"
}
] |
[
{
"from": "human",
"value": "Let d = 245 - -170. Suppose 0 = -5*o - 0*v + v + 2005, -o + 3*v = -d. Suppose 3*z + 2*z + o = 0. What is z rounded to the nearest 100?"
},
{
"from": "gpt",
"value": "-100.0"
}
] |
[
{
"from": "human",
"value": "Let c be ((-16)/(-12))/((-2)/(-3)). Let w**c - 2*w**2 + 0*w + w = 0. What is w?"
},
{
"from": "gpt",
"value": "0, 1"
}
] |
[
{
"from": "human",
"value": "Simplify 1 + sqrt(2880) + -5."
},
{
"from": "gpt",
"value": "-4 + 24*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Differentiate -59*q*r**2 - q - r**2 - 46 wrt r."
},
{
"from": "gpt",
"value": "-118*q*r - 2*r"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of -5*(0 - (-6)/(-15)) + 95?"
},
{
"from": "gpt",
"value": "97"
}
] |
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