conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "In base 15, what is -3 + 310?"
},
{
"from": "gpt",
"value": "30c"
}
] |
[
{
"from": "human",
"value": "Let j = 17 - 16. Which is the second smallest value? (a) j (b) 0.2 (c) -5/4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Put together 324 and 350."
},
{
"from": "gpt",
"value": "674"
}
] |
[
{
"from": "human",
"value": "Sort -0.4, -0.2, 0.3 in decreasing order."
},
{
"from": "gpt",
"value": "0.3, -0.2, -0.4"
}
] |
[
{
"from": "human",
"value": "What is the g'th term of 337, 665, 993, 1321, 1649, 1977?"
},
{
"from": "gpt",
"value": "328*g + 9"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 30 is divided by 10?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "-3*1.406"
},
{
"from": "gpt",
"value": "-4.218"
}
] |
[
{
"from": "human",
"value": "Calculate ((-80)/56)/(80/(-70))."
},
{
"from": "gpt",
"value": "5/4"
}
] |
[
{
"from": "human",
"value": "What is the g'th term of 2402, 2404, 2406, 2408, 2410, 2412?"
},
{
"from": "gpt",
"value": "2*g + 2400"
}
] |
[
{
"from": "human",
"value": "Solve -6*f = 2 + 28 for f."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let q = 10 - 6. Let k(n) = 31*n**2 + 4*n - 1. Is k(q) a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "0.03 * 4273"
},
{
"from": "gpt",
"value": "128.19"
}
] |
[
{
"from": "human",
"value": "Let n = 68 - 31. Let f = n + -35. Let m be (6 - 1)/((f - -2) + -3). Solve 4*k = m*a - 14, 4*k - 3*a + 8 = -a for k."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let k = -0.23 + -6.77. Let y = k + -4. Is 0 >= y?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Which is greater: 1/1247 or -1?"
},
{
"from": "gpt",
"value": "1/1247"
}
] |
[
{
"from": "human",
"value": "Which is the second smallest value? (a) -90 (b) -0.5 (c) 0 (d) 7539"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 105350 is divided by 1505?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Put -10, 14, 3, -2, -4 in decreasing order."
},
{
"from": "gpt",
"value": "14, 3, -2, -4, -10"
}
] |
[
{
"from": "human",
"value": "Does -2654 = -2652?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Evaluate -6 - 0 - (1 - 5)."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0.2 in -3/8, -4/7, -94, -2/21?"
},
{
"from": "gpt",
"value": "-2/21"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(13) + sqrt(468) + 5 + (sqrt(78) - sqrt(78)*-3)/sqrt(6)."
},
{
"from": "gpt",
"value": "5 + 11*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Is 171263 a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the value of (1 + -9 - 0) + 14?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let h be ((-22)/(-6) - 4)*-15. Suppose 2*g - 5*y = -6*y + 7, 2*y = 5*g + h. Sort g, -3, -5 in ascending order."
},
{
"from": "gpt",
"value": "-5, -3, g"
}
] |
[
{
"from": "human",
"value": "Let g be 2/(-4) - 30/(-24). Let r = -0.4 - -3.4. Let n = r - 4. Which is the nearest to n? (a) -0.1 (b) g (c) -0.4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Suppose -2*c + 0*c + 10 = 0. Let n(p) = p**2 - 6*p + 7. Let f be n(c). Solve o = f*o + 2 for o."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve -3*n**5/4 + 747*n**4/2 - 167259*n**3/4 + 202761*n**2 - 321159*n + 159840 = 0 for n."
},
{
"from": "gpt",
"value": "1, 2, 160, 333"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -2402174*l**4 + 8*l**2 + l + 9844760 wrt l?"
},
{
"from": "gpt",
"value": "16 - 28826088*l**2"
}
] |
[
{
"from": "human",
"value": "What is the h'th term of 86, 74, 56, 32?"
},
{
"from": "gpt",
"value": "-3*h**2 - 3*h + 92"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 2668406?"
},
{
"from": "gpt",
"value": "2, 13, 29, 3539"
}
] |
[
{
"from": "human",
"value": "Let l(h) be the third derivative of -h**6/8 + 7*h**5/60 + 14*h**2. Find the third derivative of l(r) wrt r."
},
{
"from": "gpt",
"value": "-90"
}
] |
[
{
"from": "human",
"value": "Let h = 0.07 + -0.47. What is the closest to 1 in 0, h, -5?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let t = -14 + 16. Let m be (-96)/(-45) + t/(-15). Solve 3*h - 3 = 0, 0*h - 8 = -2*x - m*h for x."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Put 5, 0, -4, 1, -6 in increasing order."
},
{
"from": "gpt",
"value": "-6, -4, 0, 1, 5"
}
] |
[
{
"from": "human",
"value": "What is the m'th term of 10, 23, 48, 85, 134?"
},
{
"from": "gpt",
"value": "6*m**2 - 5*m + 9"
}
] |
[
{
"from": "human",
"value": "Let d(a) = 0 + 296*a + 0 - 301*a. Let t(y) = 2*y**2. Give t(d(x))."
},
{
"from": "gpt",
"value": "50*x**2"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 4*w + c + 15, 3*w - 4*c + 16 = -0 for w."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Evaluate (15/(-105))/(3/(-7))."
},
{
"from": "gpt",
"value": "1/3"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of -205*c - 75 wrt c."
},
{
"from": "gpt",
"value": "-205"
}
] |
[
{
"from": "human",
"value": "How many months are there in 8/3 of a year?"
},
{
"from": "gpt",
"value": "32"
}
] |
[
{
"from": "human",
"value": "Solve -d + 3 = 0, -5*n = -2*n - d for n."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "In base 4, what is 211021 - 10?"
},
{
"from": "gpt",
"value": "211011"
}
] |
[
{
"from": "human",
"value": "Is 1 greater than -1/5696?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Sort 0, -23, -8, -0.2 in descending order."
},
{
"from": "gpt",
"value": "0, -0.2, -8, -23"
}
] |
[
{
"from": "human",
"value": "Which is the smallest value? (a) -3/8 (b) -2 (c) 7051"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "306 divided by -3"
},
{
"from": "gpt",
"value": "-102"
}
] |
[
{
"from": "human",
"value": "Suppose n = -2*n + 57. Suppose 2*l = -2*f + 10, -2*f - 3*l = 2*l - n. Solve 4*w = -f*r + 10, 4*r + w - 5*w + 4 = 0 for r."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the m'th term of -163, -324, -485, -646, -807, -968?"
},
{
"from": "gpt",
"value": "-161*m - 2"
}
] |
[
{
"from": "human",
"value": "Solve q - 3*y = 14, 0 = q - 5*q + 4*y + 32 for q."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Suppose 4*t - 3*r = r + 24, 4*r = 3*t - 20. Solve i + 5*y - t = -0*i, -3*i - 5*y = -2 for i."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the m'th term of 428, 1706, 3836, 6818, 10652, 15338?"
},
{
"from": "gpt",
"value": "426*m**2 + 2"
}
] |
[
{
"from": "human",
"value": "Let q = 1 + 10. Suppose 0 = 9*s - 68 - 31. What is the highest common divisor of s and q?"
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(108)*-1)**2 - (sqrt(75))**2*-4."
},
{
"from": "gpt",
"value": "408"
}
] |
[
{
"from": "human",
"value": "Solve -9*q - 8*q = -68 for q."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What comes next: -3572, -7149, -10726, -14303?"
},
{
"from": "gpt",
"value": "-17880"
}
] |
[
{
"from": "human",
"value": "Simplify (f**(-1/3)*f*f)**35/(((f**6*f)/f)/(f/(f**(-7)*f*f))) assuming f is positive."
},
{
"from": "gpt",
"value": "f**(175/3)"
}
] |
[
{
"from": "human",
"value": "Work out -0.03 * -0.068."
},
{
"from": "gpt",
"value": "0.00204"
}
] |
[
{
"from": "human",
"value": "How many milligrams are there in seventy-four fifths of a gram?"
},
{
"from": "gpt",
"value": "14800"
}
] |
[
{
"from": "human",
"value": "Let b = 69 + -63. What is the remainder when 25 is divided by b?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "5 * -0.064"
},
{
"from": "gpt",
"value": "-0.32"
}
] |
[
{
"from": "human",
"value": "Suppose 5*c + 2*z - 12 = c, c + 4*z = 3. Solve -5*k + c*k + 10 = 0 for k."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let r = 0 - -3. Determine y so that -22*y**4 + 17*y**3 + 5*y**5 + 5*y**2 + 19*y**3 - r*y**3 - 25*y**2 + 4*y = 0."
},
{
"from": "gpt",
"value": "0, 2/5, 1, 2"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 15837?"
},
{
"from": "gpt",
"value": "3, 5279"
}
] |
[
{
"from": "human",
"value": "What is the second biggest value in 17, -2/5, 1/5, 5?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Calculate (24/15)/((-18)/(-45))."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What comes next: -10, 21, 96, 233, 450, 765, 1196?"
},
{
"from": "gpt",
"value": "1761"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 2/157 or -15/22?"
},
{
"from": "gpt",
"value": "-15/22"
}
] |
[
{
"from": "human",
"value": "Is 1 < -523?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "-429 (base 13) to base 7"
},
{
"from": "gpt",
"value": "-2034"
}
] |
[
{
"from": "human",
"value": "What is the next term in 1029, 4129, 9295, 16527?"
},
{
"from": "gpt",
"value": "25825"
}
] |
[
{
"from": "human",
"value": "Let p(i) = i**3 + 3*i**2 + i - 3. Let j be p(-3). Let d = 0 - j. Let b be 1/(-2)*(-24)/d. Solve 0*t - t = -b for t."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the next term in -45, -97, -183, -321, -529?"
},
{
"from": "gpt",
"value": "-825"
}
] |
[
{
"from": "human",
"value": "What is 231 divided by 11?"
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "What is the highest common factor of 3515 and 296?"
},
{
"from": "gpt",
"value": "37"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 0 or 1406?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let k = -2 - -2. Suppose -2*m + k*m + 6 = 0. Solve m*q - 9 = 6 for q."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let d be (-5)/(-3) + (-6)/9. Suppose -5*u - 3*q + 12 = 0, 3*u - 4 = 2*q - 7*q. Suppose 0 = -n + u. Put d, -1, n in increasing order."
},
{
"from": "gpt",
"value": "-1, d, n"
}
] |
[
{
"from": "human",
"value": "What comes next: -23, -91, -203, -359, -559?"
},
{
"from": "gpt",
"value": "-803"
}
] |
[
{
"from": "human",
"value": "Let x = 5 + 0. Let f = x + -3. Find the third derivative of i**2 + 2*i**3 + i**2 - i**f wrt i."
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Solve -h**2 + 15*h + 16 = 0 for h."
},
{
"from": "gpt",
"value": "-1, 16"
}
] |
[
{
"from": "human",
"value": "What is -5 + -2 + (-3 - (-5 - -2))?"
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "Sort 5, 1, 104 in descending order."
},
{
"from": "gpt",
"value": "104, 5, 1"
}
] |
[
{
"from": "human",
"value": "Let k(t) = 21*t - 6. Let n be k(6). What is the highest common divisor of n and 48?"
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "Simplify (-2*sqrt(252)*-2 - (sqrt(252) + 1)*-3)**2."
},
{
"from": "gpt",
"value": "252*sqrt(7) + 12357"
}
] |
[
{
"from": "human",
"value": "What is 4.371099 minutes in hours?"
},
{
"from": "gpt",
"value": "0.07285165"
}
] |
[
{
"from": "human",
"value": "What is the thousands digit of 14375?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let w(k) = k**3 - 6*k**2 - 8*k + 6. Let y be w(7). What are the prime factors of y + 12 + -6 + 4?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Rearrange 58 - 3 + 3 + 2*z + (-2*z - z + 4*z)*(0 + 3 - 4) to a + i*z and give i."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "In base 14, what is -ad - 13?"
},
{
"from": "gpt",
"value": "-c2"
}
] |
[
{
"from": "human",
"value": "Let z(q) = 5*q**4 - 3*q**3 - 6*q**2 + 4*q - 3. Let n(h) = -14*h**4 + 8*h**3 + 18*h**2 - 12*h + 8. Let m(d) = 3*n(d) + 8*z(d). Factor m(k)."
},
{
"from": "gpt",
"value": "-2*k*(k - 1)**2*(k + 2)"
}
] |
[
{
"from": "human",
"value": "Let z be 1 + 4/(-4) - -3. Calculate the remainder when 85 is divided by -4 + z - -24 - 1."
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -21 + -246?"
},
{
"from": "gpt",
"value": "-300"
}
] |
[
{
"from": "human",
"value": "Let a be (-20 + 22 - (-10)/(-4)) + 1. Factor -2*v - 2*v**3 - a*v**4 - 1/2 - 3*v**2."
},
{
"from": "gpt",
"value": "-(v + 1)**4/2"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(136) + sqrt(136)*-2)*-6)/(sqrt(2)*1*-1 + (sqrt(64) + sqrt(4))/sqrt(2))."
},
{
"from": "gpt",
"value": "3*sqrt(17)"
}
] |
[
{
"from": "human",
"value": "Simplify -1*((sqrt(500)*-2 - (sqrt(245) + 1)**2) + 3)."
},
{
"from": "gpt",
"value": "34*sqrt(5) + 243"
}
] |
[
{
"from": "human",
"value": "What is -8153 + 8147 + (1 - -2)?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let w(y) = 3*y**2 - y + 4. Let z be w(7). Let k = 89 - z. What is k rounded to the nearest 10?"
},
{
"from": "gpt",
"value": "-60.0"
}
] |
[
{
"from": "human",
"value": "Let f = -62 - -64. Solve -2 = -f*w + 2 for w."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let s(f) = f**2 - 9*f + 16. Let v be s(9). Solve -3*m + 4*x + v = 0, 0 = 2*m + 5*x + 10 + 10 for m."
},
{
"from": "gpt",
"value": "0"
}
] |
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