conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "What is 646 minutes before 4:47 PM?"
},
{
"from": "gpt",
"value": "6:01 AM"
}
] |
[
{
"from": "human",
"value": "Simplify -3 + (sqrt(1573) - sqrt(1573)*2)**2 + sqrt(1573)."
},
{
"from": "gpt",
"value": "11*sqrt(13) + 1570"
}
] |
[
{
"from": "human",
"value": "Suppose 8*s = 2*s + 12. Sort 5, -4, s in ascending order."
},
{
"from": "gpt",
"value": "-4, s, 5"
}
] |
[
{
"from": "human",
"value": "Suppose -w = 2*w. Suppose w = o - 3*o + 446. Is o a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Work out 1 * -105."
},
{
"from": "gpt",
"value": "-105"
}
] |
[
{
"from": "human",
"value": "Let u be (-6)/21*6177346/(-72). Let y = 24520 - u. What is the common denominator of y and 2/3?"
},
{
"from": "gpt",
"value": "18"
}
] |
[
{
"from": "human",
"value": "Let z = -3 - 3. Let k = 5.2 + z. Let i = -2.2 + k. Sort 0.3, -2/3, i in decreasing order."
},
{
"from": "gpt",
"value": "0.3, -2/3, i"
}
] |
[
{
"from": "human",
"value": "Let p(g) be the second derivative of 7*g**3 + 24*g**2 + 34*g - 1. Differentiate p(l) with respect to l."
},
{
"from": "gpt",
"value": "42"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -5? (a) 1/7 (b) -1/2 (c) 32 (d) 3/4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is 0 divided by 171?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 49 is divided by 39."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Let g(u) = -2*u**2 + 12*u + 18. Let q be g(10). Sort -4, q, 0."
},
{
"from": "gpt",
"value": "q, -4, 0"
}
] |
[
{
"from": "human",
"value": "Suppose -123 = -8*p + 22 + 95. Solve 2*l + 11 = 27*c - p*c, 15 = -3*l - 3*c for l."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose -9*j = -5*j - 12. Let x be ((-2)/(-6))/(j/9). Sort -5, x, 2."
},
{
"from": "gpt",
"value": "-5, x, 2"
}
] |
[
{
"from": "human",
"value": "Suppose -170 = 31*o - 139. What is the nearest to o in 755, -3/2, -2/3, 2?"
},
{
"from": "gpt",
"value": "-2/3"
}
] |
[
{
"from": "human",
"value": "What is 535 minutes after 7:22 PM?"
},
{
"from": "gpt",
"value": "4:17 AM"
}
] |
[
{
"from": "human",
"value": "Let j be (1 - 0)*6/2. Let f(z) = 3 - 5*z. Let k(n) = 2*n - 1. Let q(y) = 3*f(y) + 8*k(y). Is q(j) a multiple of 3?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is 6*(-2)/(-28)*1?"
},
{
"from": "gpt",
"value": "3/7"
}
] |
[
{
"from": "human",
"value": "Let f(d) = -5*d**3 + 2*d**2 - d. Let y be f(1). Let i = y + 9. Solve -4*a + 3*k + k = -8, -2*a + k = -i for a."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose -2*y - 43 = -n, 4*y = -4*n - 0*y + 208. Calculate the remainder when n is divided by 6*7/((-84)/(-52))."
},
{
"from": "gpt",
"value": "23"
}
] |
[
{
"from": "human",
"value": "Suppose -4*m - 3 = 1. Let p be 73/(-56) + m/8. Do -1 and p have the same value?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "1 + -3 + -17 + 15"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is next in -18881, -37763, -56645?"
},
{
"from": "gpt",
"value": "-75527"
}
] |
[
{
"from": "human",
"value": "Put -5, 141, -1, -1/2 in decreasing order."
},
{
"from": "gpt",
"value": "141, -1/2, -1, -5"
}
] |
[
{
"from": "human",
"value": "What is the s'th term of 68778, 137258, 205438, 273318, 340898?"
},
{
"from": "gpt",
"value": "-150*s**2 + 68930*s - 2"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) -2.1 (b) 3 (c) 1/7 (d) -5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is next in -9, -23, -37, -51, -65?"
},
{
"from": "gpt",
"value": "-79"
}
] |
[
{
"from": "human",
"value": "Let s(j) = j**2 - 13*j + 39. Let a(n) = -1. Let t(r) = -4*a(r) - 2*s(r). Let b be t(5). Solve -2*m + 3 = 4*z - 3, -2*m - 3*z = -b for m."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let r(y) be the second derivative of 0*y**3 - 6*y + 3*y**2 - 1/12*y**4 + 0. What is the derivative of r(s) wrt s?"
},
{
"from": "gpt",
"value": "-2*s"
}
] |
[
{
"from": "human",
"value": "Factor 4*i**5 - 700*i**4 + 25568*i**3 + 459472*i**2."
},
{
"from": "gpt",
"value": "4*i**2*(i - 94)**2*(i + 13)"
}
] |
[
{
"from": "human",
"value": "(18/(-30))/((-3)/(-30)*27)"
},
{
"from": "gpt",
"value": "-2/9"
}
] |
[
{
"from": "human",
"value": "What comes next: 3, 18, 35, 48, 51?"
},
{
"from": "gpt",
"value": "38"
}
] |
[
{
"from": "human",
"value": "What is 13/5 of a litre in millilitres?"
},
{
"from": "gpt",
"value": "2600"
}
] |
[
{
"from": "human",
"value": "Let t be (1 + (-12)/8)*-4. Suppose 0 = -t*j + 7*j - 90. Calculate the remainder when 51 is divided by j."
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Is 5/4749 > 1?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let u(d) = 0*d + d + 2*d - 2*d. Let k be u(2). Solve -k*s = 4*w - 0*w + 10, 4*w - 5*s = -45 for w."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let n = 42.2 - 41.9. Which is the nearest to -0.09? (a) -0.12 (b) 0 (c) n"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let q(g) be the third derivative of g**5/12 + g**3 - 3*g**2. Find the first derivative of q(d) wrt d."
},
{
"from": "gpt",
"value": "10*d"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 64?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let g(c) = -2*c - 2. Let f be g(-6). Suppose -5*h + a + 21 = 0, -f = -0*h - 2*h + 2*a. Solve 4*l = -p - 10, -3*p - 2*p + h*l = 2 for p."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Simplify (4*(sqrt(153) - 1*sqrt(153)))/sqrt(9)."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "In base 14, what is -617 + 2?"
},
{
"from": "gpt",
"value": "-615"
}
] |
[
{
"from": "human",
"value": "Let l = -3 + 5. Let y be ((-1)/5)/(l/(-6)). Suppose y*c**3 + 0*c - 3/5*c**4 - 1/5*c**2 + 1/5*c**5 + 0 = 0. What is c?"
},
{
"from": "gpt",
"value": "0, 1"
}
] |
[
{
"from": "human",
"value": "Let h be (34*11/(-44))/(1/5). Is -41 < h?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of 10, -5, -42, -107, -206, -345, -530, -767?"
},
{
"from": "gpt",
"value": "-p**3 - 5*p**2 + 7*p + 9"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common factor of 528 and 198."
},
{
"from": "gpt",
"value": "66"
}
] |
[
{
"from": "human",
"value": "What is -0.8 less than 914?"
},
{
"from": "gpt",
"value": "914.8"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 18327."
},
{
"from": "gpt",
"value": "3, 41, 149"
}
] |
[
{
"from": "human",
"value": "Solve 3*f + 4*f**2 - 10*f**3 + 6*f**3 + 20*f - 7*f - 16 = 0 for f."
},
{
"from": "gpt",
"value": "-2, 1, 2"
}
] |
[
{
"from": "human",
"value": "Let m be 6 + 6/(-1 - 2). Let z be 0/3 + m/(-4). Which is greater: -3/5 or z?"
},
{
"from": "gpt",
"value": "-3/5"
}
] |
[
{
"from": "human",
"value": "Divide -52 by 4."
},
{
"from": "gpt",
"value": "-13"
}
] |
[
{
"from": "human",
"value": "Let q = 76 + -84. Which is bigger: q or -2/11?"
},
{
"from": "gpt",
"value": "-2/11"
}
] |
[
{
"from": "human",
"value": "Expand h**5 - 4*h**5 + 2*h**5 + 2*h**5 + 2*h**5 - 5*h**5 + (-2*h**2 + h**2 - 2*h**2)*(-74 + 5*h**3 + 74)."
},
{
"from": "gpt",
"value": "-17*h**5"
}
] |
[
{
"from": "human",
"value": "-0.56 + -0.123"
},
{
"from": "gpt",
"value": "-0.683"
}
] |
[
{
"from": "human",
"value": "Sort -870, 42, -76."
},
{
"from": "gpt",
"value": "-870, -76, 42"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 22*f - 0*f - 44 for f."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose -12*x = 11 + 37. Let c be 2 + (2 + -4 - 0). Sort x, 4, c in ascending order."
},
{
"from": "gpt",
"value": "x, c, 4"
}
] |
[
{
"from": "human",
"value": "Which is bigger: -18 or -50?"
},
{
"from": "gpt",
"value": "-18"
}
] |
[
{
"from": "human",
"value": "Rearrange (2*k - 2 + 2)*((-2*k + 3*k - 3*k)*(0 - k + 0) - k + k + k**2 - k**2 - 2*k**2 + 2*k**2) to the form n*k**2 + i*k + z*k**3 + v and give z."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let r = 11/6 + -5/3. Let g be 7 - 10 - ((-4)/6 - 2). Let d = 4.4 - -0.6. Put r, d, g in ascending order."
},
{
"from": "gpt",
"value": "g, r, d"
}
] |
[
{
"from": "human",
"value": "Let f be 132/32 - 2/16. Let j be (33 - -2) + -1 + 3. Let v = j + -8. Solve -4 = -0*i - i + k, -5*i - f*k = -v for i."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:34 PM and 10:30 PM?"
},
{
"from": "gpt",
"value": "236"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 1818 is divided by 260."
},
{
"from": "gpt",
"value": "258"
}
] |
[
{
"from": "human",
"value": "Solve -3*o - 22 = -34 for o."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let k = -1 + 0. Let c = 13 - k. What is the units digit of c?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 468 and 432?"
},
{
"from": "gpt",
"value": "5616"
}
] |
[
{
"from": "human",
"value": "Suppose -2*h + 7*h + 1 = 4*u, -3*u + 3*h = -3. Suppose -z = 5*g - 106, -56 = -z + 6*g - g. Suppose -x - z = -u*x. Is 9 a factor of x?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve -b**5/3 + 6*b**4 - 56*b**3/3 = 0."
},
{
"from": "gpt",
"value": "0, 4, 14"
}
] |
[
{
"from": "human",
"value": "Let q(f) = 83*f**2 + 48*f**2 - 35*f**2 - 2 + 2*f. Let m(v) = 495 - 19*v. Let u be m(26). List the prime factors of q(u)."
},
{
"from": "gpt",
"value": "2, 3"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 30820."
},
{
"from": "gpt",
"value": "2, 5, 23, 67"
}
] |
[
{
"from": "human",
"value": "What is 3 + 170/(-20) + 5?"
},
{
"from": "gpt",
"value": "-1/2"
}
] |
[
{
"from": "human",
"value": "Let n be 2 - 4/4*2. Suppose n*y + y = 95. Does 24 divide y?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Work out 0.2 * -247."
},
{
"from": "gpt",
"value": "-49.4"
}
] |
[
{
"from": "human",
"value": "Let h = -7 + 11. Solve -3*d = -5*d + h for d."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -1? (a) 426 (b) 2/17 (c) 0.1"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -4*t - 3*n + 7, -2*t - 4 + 0 = 4*n. Suppose -t*h = -7*h. Suppose 2*b - 5*b + 21 = h. Solve b = k + 3, 0 = 2*j + k for j."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let f be (-6)/(-15) - 18/(-5). Let b be (-43)/(-5) - f/(-10). Suppose -15 = -3*g - 3*n, n = -2*g + b + 3. Does 7 divide g?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of 375, 752, 1129, 1506?"
},
{
"from": "gpt",
"value": "377*w - 2"
}
] |
[
{
"from": "human",
"value": "Let z(k) = k**2 - 9*k + 10. Let d be z(7). Does -1 = d?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let j(l) be the third derivative of l**10/3024 - l**9/1008 + l**8/1120 - 2*l**5/15 - 6*l**2. Let q(y) be the third derivative of j(y). Solve q(x) = 0 for x."
},
{
"from": "gpt",
"value": "0, 3/5"
}
] |
[
{
"from": "human",
"value": "Calculate 546 divided by -273."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the product of -18 and 16?"
},
{
"from": "gpt",
"value": "-288"
}
] |
[
{
"from": "human",
"value": "Evaluate 2 + 3 + -8 + (4 - -3)."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 8.334184 litres in millilitres?"
},
{
"from": "gpt",
"value": "8334.184"
}
] |
[
{
"from": "human",
"value": "Calculate 100/2025*6/4*-3."
},
{
"from": "gpt",
"value": "-2/9"
}
] |
[
{
"from": "human",
"value": "Solve 32*g = -24 + 88 for g."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 492 and 12?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Suppose z + 21 = m - 6, 0 = 4*z. Calculate the remainder when m is divided by 15."
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in 91, 1/4, 4?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "Sort -2, 1, 0, 4."
},
{
"from": "gpt",
"value": "-2, 0, 1, 4"
}
] |
[
{
"from": "human",
"value": "Let x(l) = 3*l**3. Let q be x(1). Suppose -w + 5 = q. Solve w*h = -h for h."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the value of (7 - -12) + -6 + -6?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is the next term in 61, 223, 499, 895, 1417, 2071, 2863, 3799?"
},
{
"from": "gpt",
"value": "4885"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 9547 is divided by 77?"
},
{
"from": "gpt",
"value": "76"
}
] |
[
{
"from": "human",
"value": "Solve 0*h + 3*h - 9 = -4*b, -2*b + 2*h + 8 = 0 for b."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "In base 11, what is -1389 + -3?"
},
{
"from": "gpt",
"value": "-1391"
}
] |
[
{
"from": "human",
"value": "What is the next term in 2734, 5467, 8200, 10933, 13666, 16399?"
},
{
"from": "gpt",
"value": "19132"
}
] |
[
{
"from": "human",
"value": "In base 5, what is 2001 - -304?"
},
{
"from": "gpt",
"value": "2310"
}
] |
[
{
"from": "human",
"value": "Suppose u - 3*u = 0. Suppose 5*v - 15 = 2*b, 4*b = 2*v - u - 6. Solve b = 4*z + z + 20 for z."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose n - 6*n = -5. Let j be 2 - 2 - (3 - n). Let b be -2 - (-3)/(j - -5). What is the smallest value in 4/9, 0.1, b?"
},
{
"from": "gpt",
"value": "b"
}
] |
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