conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "What is the h'th term of 50, 54, 60, 68?"
},
{
"from": "gpt",
"value": "h**2 + h + 48"
}
] |
[
{
"from": "human",
"value": "What is 174135 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "417"
}
] |
[
{
"from": "human",
"value": "Let p = 64 + -191/3. Factor -1/3*b**4 + 0 - p*b + 1/3*b**3 + 1/3*b**2."
},
{
"from": "gpt",
"value": "-b*(b - 1)**2*(b + 1)/3"
}
] |
[
{
"from": "human",
"value": "Let w = -0.4 + 0.3. Let t = 9 - 13. Is w at least t?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 5 in 3, -6, -5, 0.02?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose 5*l = -1 + 16. Let v be ((-6)/(-9))/(l/9). Solve -2*p - 4 = v*p for p."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Solve 2*z = 15*q - 20*q + 2, 0 = z - 3*q - 1 for z."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose 3*f - 26 - 6 = -4*r, -3*r + f + 24 = 0. Let z(n) = n**2 - 4*n - 4. Let h be z(r). Solve 5*u + 0 + h = v, -v = -3*u - 18 for v."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -39*b + 57*b - 2 + 2."
},
{
"from": "gpt",
"value": "18*b"
}
] |
[
{
"from": "human",
"value": "Is -550 > -550?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let m = -206 + 290. Suppose t + 3*t + 5*r - m = 0, -5*t - 4*r = -114. Suppose 0 = 4*o - t + 2. Calculate the remainder when 17 is divided by o."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let c = -12 + 22. Solve -3*n - 1 = -c for n."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let j = -38 + 37. Let s be 4*(1073/(-4) - j)*22. Is (-21)/28 + s/(-8) composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Are 52 and 49 non-equal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is 12101 plus -185619?"
},
{
"from": "gpt",
"value": "-173518"
}
] |
[
{
"from": "human",
"value": "What is the value of (19 + -8 - 3) + (3 - 7)?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "How many meters are there in 641.5652km?"
},
{
"from": "gpt",
"value": "641565.2"
}
] |
[
{
"from": "human",
"value": "-0.19 * 6"
},
{
"from": "gpt",
"value": "-1.14"
}
] |
[
{
"from": "human",
"value": "1 + (-11 - -10) + 8"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Solve -5*t - 2*u - 10 - 8 = 0, -t - 10 = 2*u for t."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is -244 (base 8) in base 16?"
},
{
"from": "gpt",
"value": "-a4"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -1 in -0.5, -3, -2/5, 5?"
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "What is 18652 to the power of 1/9, to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the value of -6 - (4 - 12 - -12)?"
},
{
"from": "gpt",
"value": "-10"
}
] |
[
{
"from": "human",
"value": "Suppose -4*o + 16 = 0, -5*w + 0*o = 3*o + 288988. Round w to the nearest one thousand."
},
{
"from": "gpt",
"value": "-58000.0"
}
] |
[
{
"from": "human",
"value": "Let c = -6.6 + 4. Let i = 3 - 6. Let o = c - i. Which is smaller: 1 or o?"
},
{
"from": "gpt",
"value": "o"
}
] |
[
{
"from": "human",
"value": "(-11 - -15) + -1 + 1 + 0"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Differentiate 4*c**2*o**2 + 2*c**2 + 4*c*o**2 - 4*o**2 + 25*o wrt c."
},
{
"from": "gpt",
"value": "8*c*o**2 + 4*c + 4*o**2"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 18 and 162?"
},
{
"from": "gpt",
"value": "18"
}
] |
[
{
"from": "human",
"value": "Is 1590427 prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is (((-64)/6)/(-8))/((-4)/6)?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "In base 16, what is 1a9 + 1?"
},
{
"from": "gpt",
"value": "1aa"
}
] |
[
{
"from": "human",
"value": "What is the ninth root of 55990 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) -0.05 (b) 1/6 (c) 13 (d) 1"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let l = 0.2 + -0.1. Let z = 0.3 - -0.1. Let a = l - z. What is the smallest value in 0.3, a, -4?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Solve -62*k = -61*k for k."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Evaluate (-4)/3*3/8*10."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Find q, given that -q**5/3 + 17*q**3/3 - 16*q/3 = 0."
},
{
"from": "gpt",
"value": "-4, -1, 0, 1, 4"
}
] |
[
{
"from": "human",
"value": "Solve 115*q - 122*q - 14 = 0 for q."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0.1 in -1/3, 5, 1/2?"
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "Multiply 0.209 and -0.01."
},
{
"from": "gpt",
"value": "-0.00209"
}
] |
[
{
"from": "human",
"value": "What is the distance between 3 and 14492?"
},
{
"from": "gpt",
"value": "14489"
}
] |
[
{
"from": "human",
"value": "What comes next: -4081, -4086, -4093, -4102?"
},
{
"from": "gpt",
"value": "-4113"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 10783?"
},
{
"from": "gpt",
"value": "41, 263"
}
] |
[
{
"from": "human",
"value": "(1 - 2) + 1 - (-1 - 3)"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Solve 5*i + 4*x = 7, 10 = 5*i - 26*x + 31*x for i."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(1053) + 5*(sqrt(1053) + 0) + sqrt(1053) - (1 + sqrt(1053)*1 + sqrt(1053) + sqrt(1053))**2."
},
{
"from": "gpt",
"value": "-9478 + 9*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Suppose -10 = -k - 3. Suppose 10 = k*m - 2*m. Suppose -10/9*u**3 + 8/3*u**2 - m*u + 4/9 = 0. What is u?"
},
{
"from": "gpt",
"value": "2/5, 1"
}
] |
[
{
"from": "human",
"value": "Let z(d) = -3*d**2. Let k(l) be the second derivative of l**3/6 - 2*l + 35. What is z(k(x))?"
},
{
"from": "gpt",
"value": "-3*x**2"
}
] |
[
{
"from": "human",
"value": "Rearrange 1812 - 3*x**3 - 2*x - 1814 - 2*x**2 + 4*x**2 to the form s*x**2 + d*x**3 + p + k*x and give k."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Suppose 22 = 2*x + 2*x - 5*p, -3*x - 5*p = -34. Let h be (-1)/(-3) - 1/3. Suppose w + 0*w - 1 = h. Solve -w = 3*d + x for d."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Sort 45/17, 4, -2, -15, 0.4."
},
{
"from": "gpt",
"value": "-15, -2, 0.4, 45/17, 4"
}
] |
[
{
"from": "human",
"value": "Suppose 2*a**3/5 - 6868*a**2/5 + 5889304*a/5 + 11806096/5 = 0. What is a?"
},
{
"from": "gpt",
"value": "-2, 1718"
}
] |
[
{
"from": "human",
"value": "Which is greater: 52/31 or 2?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 850 is divided by 382?"
},
{
"from": "gpt",
"value": "86"
}
] |
[
{
"from": "human",
"value": "What is the next term in -47, -30, -11, 10, 33, 58?"
},
{
"from": "gpt",
"value": "85"
}
] |
[
{
"from": "human",
"value": "What is the k'th term of 24389, 24388, 24387?"
},
{
"from": "gpt",
"value": "24390 - k"
}
] |
[
{
"from": "human",
"value": "Put -2, 1, -6, 4 in increasing order."
},
{
"from": "gpt",
"value": "-6, -2, 1, 4"
}
] |
[
{
"from": "human",
"value": "Factor -2*k**2/21 + 388*k/21 - 18818/21."
},
{
"from": "gpt",
"value": "-2*(k - 97)**2/21"
}
] |
[
{
"from": "human",
"value": "Let i = -4 + 5. Let j(y) = 2 - y. Let p be j(-2). Suppose -v = -p*k + k + i, 3*k = 5*v - 55. Calculate the remainder when 41 is divided by v."
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Solve -175*s + 176*s = 4 for s."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Calculate the lowest common multiple of 231 and 1001."
},
{
"from": "gpt",
"value": "3003"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common factor of 34090 and 70."
},
{
"from": "gpt",
"value": "70"
}
] |
[
{
"from": "human",
"value": "What is the b'th term of 23428338, 93713349, 210855034, 374853393, 585708426, 843420133?"
},
{
"from": "gpt",
"value": "23428337*b**2 + 1"
}
] |
[
{
"from": "human",
"value": "In base 10, what is 5 + -170?"
},
{
"from": "gpt",
"value": "-165"
}
] |
[
{
"from": "human",
"value": "45/(-27)*-1*2/30"
},
{
"from": "gpt",
"value": "1/9"
}
] |
[
{
"from": "human",
"value": "What is the value of (-12)/(-8) + (-9)/6?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose -10857*q + 111 = -10856*q. Calculate the lowest common multiple of 870 and q."
},
{
"from": "gpt",
"value": "32190"
}
] |
[
{
"from": "human",
"value": "What is the value of (52/65)/((-3)/15)?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let s = 12 - -25. What is the remainder when s is divided by 10?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Solve 2*g + 3*t + 12 = 0, g + 44*t = 41*t - 9 for g."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "12 (base 13) to base 9"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 999 to the nearest integer?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is the h'th term of -39, -155, -357, -651, -1043?"
},
{
"from": "gpt",
"value": "-h**3 - 37*h**2 + 2*h - 3"
}
] |
[
{
"from": "human",
"value": "Calculate (-12)/(-1 - (-6)/(-3))."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Is 11027 a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is ((-32)/(-40))/((-7)/35)?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "How many kilograms are there in fifty-two fifths of a tonne?"
},
{
"from": "gpt",
"value": "10400"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 508 is divided by 34?"
},
{
"from": "gpt",
"value": "32"
}
] |
[
{
"from": "human",
"value": "Let i be 1 + -1 + (0 - 0). What is the closest to 0 in i, -3, -1?"
},
{
"from": "gpt",
"value": "i"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) 69/4 (b) 13/5 (c) 2/245"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -0.7 in -224, 2, -2/9, 4?"
},
{
"from": "gpt",
"value": "-2/9"
}
] |
[
{
"from": "human",
"value": "Let n(g) be the third derivative of g**6/80 - g**5/8 - 13*g**4/16 - 7*g**3/4 + g**2. Factor n(w)."
},
{
"from": "gpt",
"value": "3*(w - 7)*(w + 1)**2/2"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 56465565 and 2402790?"
},
{
"from": "gpt",
"value": "112931130"
}
] |
[
{
"from": "human",
"value": "Let b be -5*(-4 - (-3 - 0)). Suppose 5*k = -5*d + 10, -2*d - b*k = 2*d - 6. Let i(j) = j - 15. Let a be i(11). What is the closest to -0.1 in -0.3, a, d?"
},
{
"from": "gpt",
"value": "-0.3"
}
] |
[
{
"from": "human",
"value": "Suppose -17 = 3*t - 62. Suppose 5*s - 30 = r, -2*r - 3*s = -4*s + t. Let n(v) = -v - 6. Give n(r)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Factor 3*m**3 + 87*m**2 + 480*m - 2304."
},
{
"from": "gpt",
"value": "3*(m - 3)*(m + 16)**2"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 32 is divided by 1?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What comes next: -561, -1123, -1685?"
},
{
"from": "gpt",
"value": "-2247"
}
] |
[
{
"from": "human",
"value": "What is the product of -0.5 and 0.184?"
},
{
"from": "gpt",
"value": "-0.092"
}
] |
[
{
"from": "human",
"value": "Suppose -2*n = -4 + 6. Is n*(-18 - (-3 - -1)) a multiple of 12?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the m'th term of -85, -221, -347, -457, -545, -605?"
},
{
"from": "gpt",
"value": "m**3 - m**2 - 140*m + 55"
}
] |
[
{
"from": "human",
"value": "What is prob of sequence an when two letters picked without replacement from tsnteseaehtnetn?"
},
{
"from": "gpt",
"value": "1/70"
}
] |
[
{
"from": "human",
"value": "What is the next term in -870, -1743, -2620, -3501, -4386?"
},
{
"from": "gpt",
"value": "-5275"
}
] |
[
{
"from": "human",
"value": "Let l = -10 - -7. Let r be (-4)/(-18) + (-20)/45. What is the third smallest value in 3, r, l?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose 23 + 5 = 4*v - 2*q, 0 = q + 4. Let i(l) = 2*l - 2*l - l + 4*l**3 - 3*l**3. Let j be i(0). Which is the second smallest value? (a) v (b) j (c) -2/3"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Simplify 3*(sqrt(2)*-2 - sqrt(2)) + 3."
},
{
"from": "gpt",
"value": "3 - 9*sqrt(2)"
}
] |
[
{
"from": "human",
"value": "Solve -39 = -11*l - 2*l for l."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose 18 = -4*m + 34. Suppose m*g - 4*c = 36, c - 10 = 6*c. Suppose 45 = 8*k - g*k. What is the remainder when k is divided by 6?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "828 divided by -276"
},
{
"from": "gpt",
"value": "-3"
}
] |
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