conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let b be (-2 - 0) + 16/2. Suppose -3*w + b*w - 18390 = 0. Let s = -49130 + w. What is s rounded to the nearest ten thousand?"
},
{
"from": "gpt",
"value": "-40000.0"
}
] |
[
{
"from": "human",
"value": "Convert 40 (base 7) to base 14."
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "What is 15112 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "123"
}
] |
[
{
"from": "human",
"value": "What is -2 + (-7 - -6) + 8?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What comes next: 77, 149, 219, 287, 353, 417, 479?"
},
{
"from": "gpt",
"value": "539"
}
] |
[
{
"from": "human",
"value": "Let v = 33 - 31. Which is the third biggest value? (a) v (b) -1 (c) -6 (d) -4"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Let v = 3.03 + -0.03. Let h = 0.4 - 0.38. Let k = -4.98 - h. What is the third biggest value in k, v, -4?"
},
{
"from": "gpt",
"value": "k"
}
] |
[
{
"from": "human",
"value": "Evaluate 62/1643 + ((-9344)/424 - -4)."
},
{
"from": "gpt",
"value": "-18"
}
] |
[
{
"from": "human",
"value": "Let g = -26 + 26.19. Let t = g - 6.09. Let r = 6 + t. Which is smaller: 0 or r?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose 0*m = -4*m + 208. Suppose -j = j + m. Let n = 56 + j. Solve -4*k - k = -4*f + 21, 0 = 5*f + 5*k + n for f."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Factor 4*i**3 + 346844*i**2 + 7518624096*i - 7518970944."
},
{
"from": "gpt",
"value": "4*(i - 1)*(i + 43356)**2"
}
] |
[
{
"from": "human",
"value": "What is 72 divided by -8?"
},
{
"from": "gpt",
"value": "-9"
}
] |
[
{
"from": "human",
"value": "3.09 + 122"
},
{
"from": "gpt",
"value": "125.09"
}
] |
[
{
"from": "human",
"value": "What is the r'th term of 63, 80, 101, 126, 155?"
},
{
"from": "gpt",
"value": "2*r**2 + 11*r + 50"
}
] |
[
{
"from": "human",
"value": "Let b = -32 + 99. What is the units digit of b?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is 61928 to the power of 1/6, to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let h = -2.8 - -3. Sort h, -0.08, 0 in ascending order."
},
{
"from": "gpt",
"value": "-0.08, 0, h"
}
] |
[
{
"from": "human",
"value": "What is 459 minutes after 1:23 AM?"
},
{
"from": "gpt",
"value": "9:02 AM"
}
] |
[
{
"from": "human",
"value": "Let j = 66 + -62. Solve -3*u - 1 = -j for u."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let u = 0 + 2. Let d = u + -6. Let q be (-1)/(-18)*9/3. Which is the smallest value? (a) d (b) -0.5 (c) q"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is -25 (base 15) in base 12?"
},
{
"from": "gpt",
"value": "-2b"
}
] |
[
{
"from": "human",
"value": "Let r(t) = 3*t**2 + 62*t - 45. Is r(28) a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve y - 2*y = 0 for y."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let f(p) = 12 - p. What is the remainder when f(-19) is divided by 19?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Simplify -1*(0 + sqrt(1053) - sqrt(13))**2*1."
},
{
"from": "gpt",
"value": "-832"
}
] |
[
{
"from": "human",
"value": "Let q be ((2 - 2) + 1)*-11. Let l be 6/(-8) + q/(-4). Solve v + d = 3, -3*v + 0*d = -l*d + 1 for v."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let n(r) = r + 23. Let v be n(-21). Suppose -v*f = 3*f - 740. What are the prime factors of f?"
},
{
"from": "gpt",
"value": "2, 37"
}
] |
[
{
"from": "human",
"value": "What is next in 29, 23, 5, -31, -91, -181, -307?"
},
{
"from": "gpt",
"value": "-475"
}
] |
[
{
"from": "human",
"value": "What is the value of (1 - 1)/(5/((-15)/(-6)))?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the o'th term of 5, 10, 21, 38, 61?"
},
{
"from": "gpt",
"value": "3*o**2 - 4*o + 6"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 3? (a) 1 (b) -1 (c) -3 (d) -4/5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "6 divided by 205"
},
{
"from": "gpt",
"value": "6/205"
}
] |
[
{
"from": "human",
"value": "Is 1 at most 2/37?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve -p = -5*q + 17, -p + 4*q - 2*q = 8 for p."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Calculate (-8 + (-141)/(-9) + -7)/4."
},
{
"from": "gpt",
"value": "1/6"
}
] |
[
{
"from": "human",
"value": "Let z = 14 - 27/2. Let k = 0.0878 - -0.0122. What is the closest to 1 in 1, z, k?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose 2*h - 6*h - 6996 = -3*u, -h = 2*u - 4664. Suppose -67*b = -56*b - u. Is 40 a factor of b?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let o(f) = 3*f**2 - 3 - f**2 + 3. Let p(b) = b + 2*b - 4*b. Calculate p(o(u))."
},
{
"from": "gpt",
"value": "-2*u**2"
}
] |
[
{
"from": "human",
"value": "Suppose -5*l - l = 132. Are -22 and l non-equal?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify (((sqrt(684) + -1 - sqrt(684))*-2)**2 + 3)*-3."
},
{
"from": "gpt",
"value": "-21"
}
] |
[
{
"from": "human",
"value": "-22 + 9 - (5 + -2 - 7)"
},
{
"from": "gpt",
"value": "-9"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(171) - sqrt(171)*-1*2)/(-3*(sqrt(9) + -2*sqrt(9)) - sqrt(9))."
},
{
"from": "gpt",
"value": "3*sqrt(19)/2"
}
] |
[
{
"from": "human",
"value": "Let k = 19/4 + -5. What is the closest to -0.2 in -1, 0.4, k?"
},
{
"from": "gpt",
"value": "k"
}
] |
[
{
"from": "human",
"value": "Let n = -11.7 - -13.7. What is the nearest to -1 in n, 5, 2/3?"
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "How many months are there in 13/5 of a decade?"
},
{
"from": "gpt",
"value": "312"
}
] |
[
{
"from": "human",
"value": "Let n(a) = a**2 + a + 1. Let i be n(-1). Suppose 2*f + x = f + 12, 3*f - 46 = -5*x. Calculate the highest common factor of i and f."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "(0 - 8) + 3 + 1 + 4"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let x(n) = -n**3 + 2*n**2 + n - 1. Let t be x(2). Suppose -3*d + h = -13, -2*d + h + 9 = -t. Solve -q = -d*k - 0*q + 11, k = 4*q - 11 for k."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 27 and 18?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Calculate (1*3/(-15))/((-18)/(-30))."
},
{
"from": "gpt",
"value": "-1/3"
}
] |
[
{
"from": "human",
"value": "Let o = -10.7 + -2.3. Let f = o - -11. What is the nearest to f in -0.2, -5/2, -0.1?"
},
{
"from": "gpt",
"value": "-5/2"
}
] |
[
{
"from": "human",
"value": "Solve 9227*p - 18482*p = -9221*p - 424 - 18 for p."
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Divide -12 by -4."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let n(z) = -z**2 - z + 2. Let m be n(-4). Find the common denominator of (2 - (-38)/7) + 1 and m/(-35) + 365/21."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 119881?"
},
{
"from": "gpt",
"value": "119881"
}
] |
[
{
"from": "human",
"value": "What is the closest to -3 in 0.3, 3, 6/47?"
},
{
"from": "gpt",
"value": "6/47"
}
] |
[
{
"from": "human",
"value": "What is -1 + 6*((-110)/15)/11?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let c(k) = 4*k - 28. Let p be c(7). Sort -4, p, -15, 4."
},
{
"from": "gpt",
"value": "-15, -4, p, 4"
}
] |
[
{
"from": "human",
"value": "How many minutes are there in 1/16 of a week?"
},
{
"from": "gpt",
"value": "630"
}
] |
[
{
"from": "human",
"value": "Calculate (8/14)/((-34)/(-357))."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 5*q + 4*k - 37, q - 4 = -q + 2*k. Solve -s = 5*n + 1 - 10, -q*s + 4*n = 13 for s."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0 in 1/3, 0.3, 3, 28?"
},
{
"from": "gpt",
"value": "0.3"
}
] |
[
{
"from": "human",
"value": "How many millilitres are there in fifty-one halves of a litre?"
},
{
"from": "gpt",
"value": "25500"
}
] |
[
{
"from": "human",
"value": "Put 3, 6, -281 in descending order."
},
{
"from": "gpt",
"value": "6, 3, -281"
}
] |
[
{
"from": "human",
"value": "Let s = -1.1 - -2.1. Which is the smallest value? (a) s (b) 0.2 (c) -2/31"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Evaluate (-6 - -6) + 0 + -1."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 36285 is divided by 16."
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Evaluate -1 + (-5 - (-7 - 3))."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "0.02331 + 5"
},
{
"from": "gpt",
"value": "5.02331"
}
] |
[
{
"from": "human",
"value": "Let f be ((-4)/6*-9)/(8/12). Solve -29 = 4*a - f for a."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is -0.000283707 rounded to four dps?"
},
{
"from": "gpt",
"value": "-0.0003"
}
] |
[
{
"from": "human",
"value": "Work out 0.101 * -0.66."
},
{
"from": "gpt",
"value": "-0.06666"
}
] |
[
{
"from": "human",
"value": "Work out -2 - -3103."
},
{
"from": "gpt",
"value": "3101"
}
] |
[
{
"from": "human",
"value": "Let s be 1/(-7) - (-45)/21. Let p(n) = -4*n**3 + 2*n**2 - n. Let x(y) = -3*y**3 + 2*y**2 - y. Let g(a) = s*p(a) - 3*x(a). Factor g(v)."
},
{
"from": "gpt",
"value": "v*(v - 1)**2"
}
] |
[
{
"from": "human",
"value": "What is -542 times -0.3?"
},
{
"from": "gpt",
"value": "162.6"
}
] |
[
{
"from": "human",
"value": "Solve 18*r = 71 + 1 for r."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Solve -6 = q - 2*a, -2*q - 3*q - 3*a + 9 = 0 for q."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the next term in -2281, -2283, -2283, -2281?"
},
{
"from": "gpt",
"value": "-2277"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 1483*m**2 - 2855*m wrt m."
},
{
"from": "gpt",
"value": "2966"
}
] |
[
{
"from": "human",
"value": "Suppose g = 5 - 3. Let p be 2/(g*2/6). Suppose -4*s = 5*j + 20, 2*j = s - 3*j - 20. Solve p*c = -s*c for c."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let k = -95 + 183. Is 31 a factor of k?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let s = 1.1 + -0.1. Let z = -59/3 - -20. Let g = 0.09 - 0.09. What is the nearest to g in s, z, 0.2?"
},
{
"from": "gpt",
"value": "0.2"
}
] |
[
{
"from": "human",
"value": "Solve -d + 4*x = 4*d + 15, -6 = -d - x for d."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Calculate prob of sequence mhmh when four letters picked without replacement from {r: 4, m: 3, c: 7, h: 5}."
},
{
"from": "gpt",
"value": "5/3876"
}
] |
[
{
"from": "human",
"value": "9 divided by -34"
},
{
"from": "gpt",
"value": "-9/34"
}
] |
[
{
"from": "human",
"value": "Factor -3*m**2 - 24*m + 252."
},
{
"from": "gpt",
"value": "-3*(m - 6)*(m + 14)"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 4? (a) 2/3 (b) -0.1 (c) 4 (d) 1/15"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is prob of sequence oz when two letters picked without replacement from zojqzwzwotwto?"
},
{
"from": "gpt",
"value": "3/52"
}
] |
[
{
"from": "human",
"value": "In base 13, what is -2b - 9?"
},
{
"from": "gpt",
"value": "-37"
}
] |
[
{
"from": "human",
"value": "Let z(t) be the third derivative of t**5/180 - t**4/72 + 11*t**2. What is s in z(s) = 0?"
},
{
"from": "gpt",
"value": "0, 1"
}
] |
[
{
"from": "human",
"value": "In base 8, what is -2665 - -4?"
},
{
"from": "gpt",
"value": "-2661"
}
] |
[
{
"from": "human",
"value": "Simplify s*s**14/s*s*s**(-20) assuming s is positive."
},
{
"from": "gpt",
"value": "s**(-5)"
}
] |
[
{
"from": "human",
"value": "Solve 5*m - 1157*h + 7 = -1158*h, -5*m - 13 = 4*h for m."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Suppose 0*s - 6 = -3*s. Let g = s + 2. Solve -2*a - 1 - 3 = -2*o, -2*o = g for a."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 5*t + 3*b + 9 - 30, 0 = t + b - 5 for t."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(5) - (sqrt(720) + 3))*-3)**2 + 5."
},
{
"from": "gpt",
"value": "594*sqrt(5) + 5531"
}
] |
[
{
"from": "human",
"value": "Let k(p) be the second derivative of p**5/20 + 5*p**4/6 + 4*p. Let r be k(-10). Solve r*l + l = 0 for l."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "In base 15, what is -4b + 1?"
},
{
"from": "gpt",
"value": "-4a"
}
] |
[
{
"from": "human",
"value": "Let z = 6 - 9. Let t = z + 8. Solve 3*o - 8*o - f = -18, 0 = -4*o - t*f + 6 for o."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Collect the terms in m + m + 8 + 42 + 36."
},
{
"from": "gpt",
"value": "2*m + 86"
}
] |
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