conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Suppose -4*r = 441 - 13261. Suppose -g - 4*g + r = 0. Is g composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Is 14 a factor of 897?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "15/(-25) - 5*(-2)/25"
},
{
"from": "gpt",
"value": "-1/5"
}
] |
[
{
"from": "human",
"value": "Let z = 7 + -8. Put 4, z, 1/7 in descending order."
},
{
"from": "gpt",
"value": "4, 1/7, z"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 25/(1785690/119043 + -15)?"
},
{
"from": "gpt",
"value": "3, 5, 4409"
}
] |
[
{
"from": "human",
"value": "Calculate 5*-99."
},
{
"from": "gpt",
"value": "-495"
}
] |
[
{
"from": "human",
"value": "Calculate -14 divided by -2."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Let i be (-282)/(-24)*(0 - 4). Suppose 8*y + 15 = 3*y. Is 6/(-9)*y - i a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose 2*c + 2*c**2 + c - 3*c**2 = 0. Calculate c."
},
{
"from": "gpt",
"value": "0, 3"
}
] |
[
{
"from": "human",
"value": "Let s = -3 + 7. Let d = -8 - -11. Suppose -h = -d*b + 14, 3*h = -2*b - 1 + 25. Solve -b*p + 7*p + s = 0 for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let h = -6263.5 - -6212.559. Let z = h - -51. What is z rounded to two dps?"
},
{
"from": "gpt",
"value": "0.06"
}
] |
[
{
"from": "human",
"value": "What is 0.3 + -686.571?"
},
{
"from": "gpt",
"value": "-686.271"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 59*a**3*c**3*t + 3*a**3*c**2*t - 13*a**3*t + 2*a**2*c**3*t - 3*c**2 - 3*c wrt c?"
},
{
"from": "gpt",
"value": "354*a**3*t + 12*a**2*t"
}
] |
[
{
"from": "human",
"value": "Let k = -4 + 3. What is the remainder when (2/(-4))/(2/(-4)) is divided by -5*(12/15 + k)?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let r = 0 + 3. Suppose -4*b = 0, -4*b = -r*u - 12 - 3. What is the third biggest value in -2/9, -2, u?"
},
{
"from": "gpt",
"value": "u"
}
] |
[
{
"from": "human",
"value": "Four letters picked without replacement from vwww. What is prob of sequence vwww?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "Evaluate -4 + 0 - (-3 - 5)."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Suppose 2*p = 3*p - 3. Suppose -p = 4*z - 23, 4*z = -u + 20. Solve d + 2*f - 9 = u, -3*f = 5*d - 8*f - 15 for d."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let o(l) be the first derivative of 8*l**6/3 - 13*l**2/2 - 2. Find the second derivative of o(s) wrt s."
},
{
"from": "gpt",
"value": "320*s**3"
}
] |
[
{
"from": "human",
"value": "Suppose -d - 4*j - 7 = 0, 0 = d + 28*j - 14*j + 37. Put -5, d, 1, -10 in ascending order."
},
{
"from": "gpt",
"value": "-10, -5, 1, d"
}
] |
[
{
"from": "human",
"value": "Let l(w) = 22*w**4 - 10*w**3 - 22*w**2 - 6*w - 16. Let c(o) = 7*o**4 - 3*o**3 - 7*o**2 - 2*o - 5. Let h(s) = -16*c(s) + 5*l(s). Find r such that h(r) = 0."
},
{
"from": "gpt",
"value": "-1, 0, 1"
}
] |
[
{
"from": "human",
"value": "What is the z'th term of 16, 33, 54, 79, 108, 141?"
},
{
"from": "gpt",
"value": "2*z**2 + 11*z + 3"
}
] |
[
{
"from": "human",
"value": "-2b (base 14) to base 12"
},
{
"from": "gpt",
"value": "-33"
}
] |
[
{
"from": "human",
"value": "What is (-1 + (-2)/(-6))/(48/36)?"
},
{
"from": "gpt",
"value": "-1/2"
}
] |
[
{
"from": "human",
"value": "What is the m'th term of 81, 163, 245, 327, 409?"
},
{
"from": "gpt",
"value": "82*m - 1"
}
] |
[
{
"from": "human",
"value": "Solve -69*j + 65*j = 8 for j."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let y(i) = i**2 + 3*i + 3. Let z be y(-2). Let a be z/(-6) - (-62)/12. Suppose -70 = -10*c + a*c. Calculate the smallest common multiple of 20 and c."
},
{
"from": "gpt",
"value": "140"
}
] |
[
{
"from": "human",
"value": "Solve 3*g - 28 = -4*b - 43, -2*b = -3*g - 15 for g."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let t be 1 + -1 + 1 + 2. Suppose -t*j + 12 = j. List the prime factors of j."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 862*o + 2027*o + 223*o."
},
{
"from": "gpt",
"value": "3112*o"
}
] |
[
{
"from": "human",
"value": "-10 divided by 506"
},
{
"from": "gpt",
"value": "-5/253"
}
] |
[
{
"from": "human",
"value": "What is next in 342, 197, -34, -345, -730, -1183, -1698?"
},
{
"from": "gpt",
"value": "-2269"
}
] |
[
{
"from": "human",
"value": "What is the next term in -4217, -16851, -37909, -67391, -105297?"
},
{
"from": "gpt",
"value": "-151627"
}
] |
[
{
"from": "human",
"value": "Let h = -2 - -4. Suppose -2*t + 2*z - h = -0, 2*z - 20 = -4*t. Let i = -1.8 - -2. What is the closest to 1/3 in 2, i, t?"
},
{
"from": "gpt",
"value": "i"
}
] |
[
{
"from": "human",
"value": "What is the value of 4/(-38) - (2 - 790/285)?"
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -5*o + 2*i + 53, 2*o + 0*i - 14 = -i. Solve 2 = -o*y + 8*y for y."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let h = -0.15 + 0.2. Let z = -76 - -79.95. Let o = z + h. What is the nearest to -2/5 in o, 0.4, 3/2?"
},
{
"from": "gpt",
"value": "0.4"
}
] |
[
{
"from": "human",
"value": "What is the next term in -86, -178, -338, -572, -886?"
},
{
"from": "gpt",
"value": "-1286"
}
] |
[
{
"from": "human",
"value": "Let c = -8 + 3. Sort -4, 5, c, 1 in decreasing order."
},
{
"from": "gpt",
"value": "5, 1, -4, c"
}
] |
[
{
"from": "human",
"value": "Factor o**2/4 + 29*o/2 + 841/4."
},
{
"from": "gpt",
"value": "(o + 29)**2/4"
}
] |
[
{
"from": "human",
"value": "Let c(l) = 13*l. Let k = -1315 - -1318. Let o(i) be the third derivative of 0*i**4 - 1/60*i**5 + 0 + 8*i**2 + 0*i**k + 0*i. What is c(o(d))?"
},
{
"from": "gpt",
"value": "-13*d**2"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) 2/7 (b) -3/8 (c) -6/5 (d) -2/11"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(45) + -1 + (sqrt(5) - (-3 + sqrt(5)*2))**2."
},
{
"from": "gpt",
"value": "13 - 3*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Simplify ((-3*(sqrt(405) - (0 + sqrt(405))) - (sqrt(405) - -4*(1*sqrt(405) - sqrt(405) - sqrt(405)))) + 5)**2."
},
{
"from": "gpt",
"value": "270*sqrt(5) + 3670"
}
] |
[
{
"from": "human",
"value": "What is the third biggest value in -24, 16/5, 12.264, 3?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let z(u) = 765*u + 23. Is z(6) a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is i in i**3/3 + 10*i**2 - 64*i/3 = 0?"
},
{
"from": "gpt",
"value": "-32, 0, 2"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of -346*v**4*z**3 - 736*z**3 wrt v."
},
{
"from": "gpt",
"value": "-1384*v**3*z**3"
}
] |
[
{
"from": "human",
"value": "Calculate 5 + 4 + -9 - (-1 - -7)."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "What is 2202 divided by -7?"
},
{
"from": "gpt",
"value": "-2202/7"
}
] |
[
{
"from": "human",
"value": "Let n = 67 + -122. Let l = 135 + n. Suppose 3*f = -0*m + m - 19, -4*f = 5*m - 38. What is the highest common divisor of m and l?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Factor -9*b**3 + 24*b**2 - 12*b."
},
{
"from": "gpt",
"value": "-3*b*(b - 2)*(3*b - 2)"
}
] |
[
{
"from": "human",
"value": "What is 130 divided by -26?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Work out -3 + 1032."
},
{
"from": "gpt",
"value": "1029"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common factor of 2905 and 83."
},
{
"from": "gpt",
"value": "83"
}
] |
[
{
"from": "human",
"value": "Let n be (-1)/(-4) + (-90)/(-24). Suppose -6*m = -n*m. Suppose 4*t - 45 = t. Solve 3*c + t = -m for c."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "(31/93)/((-1)/(-3))"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is 27888 to the power of 1/6, to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let d = 0.3 + -0.3. Let f = d + -0.4. Let h = 2 - -1. What is the nearest to -1 in 2, h, f?"
},
{
"from": "gpt",
"value": "f"
}
] |
[
{
"from": "human",
"value": "What is -0.023 times -3?"
},
{
"from": "gpt",
"value": "0.069"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -64 or -63?"
},
{
"from": "gpt",
"value": "-64"
}
] |
[
{
"from": "human",
"value": "What is 4.051 times -0.3?"
},
{
"from": "gpt",
"value": "-1.2153"
}
] |
[
{
"from": "human",
"value": "-15 * 254"
},
{
"from": "gpt",
"value": "-3810"
}
] |
[
{
"from": "human",
"value": "What is next in -3123, -3111, -3099, -3087?"
},
{
"from": "gpt",
"value": "-3075"
}
] |
[
{
"from": "human",
"value": "Factor -2*a**4/9 - 2*a**3/9 + 20*a**2/9 - 16*a/9."
},
{
"from": "gpt",
"value": "-2*a*(a - 2)*(a - 1)*(a + 4)/9"
}
] |
[
{
"from": "human",
"value": "Put -1, 99, 1, -4 in decreasing order."
},
{
"from": "gpt",
"value": "99, 1, -1, -4"
}
] |
[
{
"from": "human",
"value": "Calculate the lowest common multiple of 600 and 975."
},
{
"from": "gpt",
"value": "7800"
}
] |
[
{
"from": "human",
"value": "Let g be (-2 + 1)*6*-5. Let s be 4/g*(-9)/6. Is 1 at least s?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Which is the fourth smallest value? (a) -3 (b) 18 (c) -5 (d) 0"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "20 (base 12) to base 2"
},
{
"from": "gpt",
"value": "11000"
}
] |
[
{
"from": "human",
"value": "Is 11 a factor of 1353?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let w(j) be the first derivative of -j**3/3 - 3*j**2/2 + j - 4. Let r be w(-3). Which is smaller: 2 or r?"
},
{
"from": "gpt",
"value": "r"
}
] |
[
{
"from": "human",
"value": "Do -101 and -101 have the same value?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Round -624563957 to the nearest 100000."
},
{
"from": "gpt",
"value": "-624600000.0"
}
] |
[
{
"from": "human",
"value": "Calculate the smallest common multiple of 1 and 22554."
},
{
"from": "gpt",
"value": "22554"
}
] |
[
{
"from": "human",
"value": "Let q = 6 + -11. Let h = -725/3 - -242. Which is the smallest value? (a) q (b) -7 (c) h"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Factor 2*n**4 + 2*n**3 - 6*n**2 - 2*n + 4."
},
{
"from": "gpt",
"value": "2*(n - 1)**2*(n + 1)*(n + 2)"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 2*j - 6*j. Factor -6*b**2 + 4/3*b + 14/3*b**3 + j."
},
{
"from": "gpt",
"value": "2*b*(b - 1)*(7*b - 2)/3"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-6)/8)/3*260/(-65)?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is -219 divided by -5?"
},
{
"from": "gpt",
"value": "219/5"
}
] |
[
{
"from": "human",
"value": "Let l(o) = o**3 - 9*o**2 - 11*o + 12. Let f be l(10). What is the closest to 0.2 in -5, f, 0.4?"
},
{
"from": "gpt",
"value": "0.4"
}
] |
[
{
"from": "human",
"value": "Suppose -5*w = -2*v + 75 + 75, -3*v + w + 225 = 0. Suppose 52 = f - 2*z, 2*f - z - v - 38 = 0. Is f prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify r**(-20)/(r/(r*r*r**0/r)) assuming r is positive."
},
{
"from": "gpt",
"value": "r**(-20)"
}
] |
[
{
"from": "human",
"value": "Subtract 21 from 650."
},
{
"from": "gpt",
"value": "629"
}
] |
[
{
"from": "human",
"value": "What comes next: 20, 24, 28?"
},
{
"from": "gpt",
"value": "32"
}
] |
[
{
"from": "human",
"value": "24860 divided by -6215"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 11*h**5 + 4*h**4 - 2*h**3 - 2715*h**2 wrt h?"
},
{
"from": "gpt",
"value": "660*h**2 + 96*h - 12"
}
] |
[
{
"from": "human",
"value": "Simplify (-2*sqrt(6)/(sqrt(32) + sqrt(2)) + (sqrt(12)/sqrt(4) + -1 - sqrt(3)) + (sqrt(3) - (4 + sqrt(3)*-2)))**2."
},
{
"from": "gpt",
"value": "1132/25 - 26*sqrt(3)"
}
] |
[
{
"from": "human",
"value": "Let h = 7 + -5. Let u = h + 3. What is the second derivative of -4*f**4 - 3*f + 4*f**4 + 3*f**u - 2*f**5 wrt f?"
},
{
"from": "gpt",
"value": "20*f**3"
}
] |
[
{
"from": "human",
"value": "Let h(q) = -q**3 - 2*q**2 - 4*q + 4. Let m(g) = -g**3 - 5*g**2 + 2*g - 3. Let o be m(-6). Let y = -3 + o. What is the remainder when h(-4) is divided by y?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "What is next in 265, 324, 427, 580, 789?"
},
{
"from": "gpt",
"value": "1060"
}
] |
[
{
"from": "human",
"value": "Find p, given that 5*p**2 - 105*p - 110 = 0."
},
{
"from": "gpt",
"value": "-1, 22"
}
] |
[
{
"from": "human",
"value": "-16 + -76560"
},
{
"from": "gpt",
"value": "-76576"
}
] |
[
{
"from": "human",
"value": "-4.9 * -1"
},
{
"from": "gpt",
"value": "4.9"
}
] |
[
{
"from": "human",
"value": "Work out -0.04 + -412."
},
{
"from": "gpt",
"value": "-412.04"
}
] |
[
{
"from": "human",
"value": "Suppose -4*i - 3*r = -6*r - 22, 4*i = r + 18. Suppose i*o = 3*k + 6, -2*k = 5*o + 4 - 0. Solve -5*m - 24 + 0 = n, -m - 3*n - 16 = o for m."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let l be -4 - (2 + -2 + 2). Suppose -2*z = 2*o - 22, -4*z - 37 = -4*o + 15. Let n = o + l. Solve n = 2*w - 2 for w."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let j(z) = 9 - z. Let o be j(9). Suppose -2*x + o*x = -10. Suppose x*s - 4 = s, 3*b - 89 = 4*s. Is 15 a factor of b?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the value of -9 + 0 + (-4 - (-7 - 2))?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common divisor of 5 and 10090."
},
{
"from": "gpt",
"value": "5"
}
] |
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