conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let q be 20 - (8 - 2)/(3/2). Solve -3*y = -5*u, u - q = -5*y + 12 for u."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the product of 13 and -0.5?"
},
{
"from": "gpt",
"value": "-6.5"
}
] |
[
{
"from": "human",
"value": "Let h = 0 + -4. Let a = 6 + h. Let o(v) = v**3 + 7*v**2 - v - 7. Let q be o(-7). Solve 2*c - a + 12 = q for c."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Suppose -3*y + 5*k + 9 = 0, 5*y - 21 + 6 = -k. Solve 0*s + 12 = -4*i - y*s, 0 = -4*s for i."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is z in -z**2 - 39*z = 0?"
},
{
"from": "gpt",
"value": "-39, 0"
}
] |
[
{
"from": "human",
"value": "Find the common denominator of -35/12 and -41/354."
},
{
"from": "gpt",
"value": "708"
}
] |
[
{
"from": "human",
"value": "Let o(b) = -b**3 + 15*b**2 + 36*b - 34. What is o(17)?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Simplify w**17/((w**(-24)*w)/w) assuming w is positive."
},
{
"from": "gpt",
"value": "w**41"
}
] |
[
{
"from": "human",
"value": "In base 3, what is -1 - 210?"
},
{
"from": "gpt",
"value": "-211"
}
] |
[
{
"from": "human",
"value": "Solve -2*v = v + 2*w + 3, -4*v = -w + 15 for v."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the square root of 1126 to the nearest integer?"
},
{
"from": "gpt",
"value": "34"
}
] |
[
{
"from": "human",
"value": "Divide -23246 by 3."
},
{
"from": "gpt",
"value": "-23246/3"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -242*y**3 - 1299*y**3 + 3981*y**3 + 5697*y**3."
},
{
"from": "gpt",
"value": "8137*y**3"
}
] |
[
{
"from": "human",
"value": "Is -3708 > -3703?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let a(n) = 8 - 2*n. Let f be a(3). Let x(l) = -l**3 - 5*l**2 - 2*l - 3. Let d be x(-5). Solve -f = -i - d for i."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -40 or -4/5?"
},
{
"from": "gpt",
"value": "-40"
}
] |
[
{
"from": "human",
"value": "What is 573 minutes after 11:26 PM?"
},
{
"from": "gpt",
"value": "8:59 AM"
}
] |
[
{
"from": "human",
"value": "What is the second biggest value in -1/8, 2/3, -2/3, 4/7?"
},
{
"from": "gpt",
"value": "4/7"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:33 AM and 6:32 PM?"
},
{
"from": "gpt",
"value": "719"
}
] |
[
{
"from": "human",
"value": "Solve 0*b = -5*k - b + 27, -5*k + 3*b + 19 = 0 for k."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "-3 (base 12) to base 8"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Is 5 a factor of 18970?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let h = 0.29 - -0.01. Which is the biggest value? (a) 0 (b) h (c) -4/7"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is next in 1988, 1953, 1928, 1913?"
},
{
"from": "gpt",
"value": "1908"
}
] |
[
{
"from": "human",
"value": "Let t(n) be the first derivative of -n**5/15 + 5*n**4/24 - n**2 + 1. Let q(h) be the second derivative of t(h). What is the second derivative of q(y) wrt y?"
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "Is 51367 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Calculate -27671045*9."
},
{
"from": "gpt",
"value": "-249039405"
}
] |
[
{
"from": "human",
"value": "Solve 4*r + 25 = 3*v, 35*r + 2*v = 39*r + 18 for r."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 647?"
},
{
"from": "gpt",
"value": "647"
}
] |
[
{
"from": "human",
"value": "What is next in 367, 368, 371, 376, 383?"
},
{
"from": "gpt",
"value": "392"
}
] |
[
{
"from": "human",
"value": "Let l = 66 + -56. What is the remainder when 16 is divided by l?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(17) - (sqrt(1700) + 1)**2)*-3."
},
{
"from": "gpt",
"value": "57*sqrt(17) + 5103"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -2/17977 or 1?"
},
{
"from": "gpt",
"value": "-2/17977"
}
] |
[
{
"from": "human",
"value": "Solve -19*v + 45 = -4*v for v."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let z(m) = 634*m - 1. Is z(1) a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "0.4*0.12"
},
{
"from": "gpt",
"value": "0.048"
}
] |
[
{
"from": "human",
"value": "Let d be 3 - (1 - -5 - -2). Let s = d - -8. Suppose -3*j = -2*l - 89, 4*l = -5*j + s*j + 70. Is j a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is (-4)/16*-10*2 - 2?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Is -2 < 4054?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is 38 divided by 4?"
},
{
"from": "gpt",
"value": "19/2"
}
] |
[
{
"from": "human",
"value": "What is the value of -2*1*35/14?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Suppose t**4/4 + 3*t**3/4 - 2*t**2 - 3*t + 4 = 0. What is t?"
},
{
"from": "gpt",
"value": "-4, -2, 1, 2"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(12)/(sqrt(100) - (sqrt(100)*-4 - sqrt(100)) - sqrt(100))*-1."
},
{
"from": "gpt",
"value": "-sqrt(3)/25"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 6270 is divided by 153."
},
{
"from": "gpt",
"value": "150"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -42*z + 32*z. Factor z - 2/3*t**2 - 1/3*t**5 + 0*t**4 + 0*t + t**3."
},
{
"from": "gpt",
"value": "-t**2*(t - 1)**2*(t + 2)/3"
}
] |
[
{
"from": "human",
"value": "Let z(u) = u**2 - 8*u + 9. Let n be z(7). Suppose -4 = -3*s + n*s. Solve 4*j - j + 4 = -5*h, -4 = -s*h for j."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let c(m) = 2*m + m**3 - 5*m - 4*m + 8 + 6*m**2. What is the units digit of c(-7)?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "72 divided by 36"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Simplify -3*(-3*(3 + (2*sqrt(700) + sqrt(700))**2) - ((-5*(sqrt(700) + -1))**2 + sqrt(700) + (-3*(sqrt(700) + 1) - sqrt(700))))."
},
{
"from": "gpt",
"value": "109293 - 1590*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "Let k(q) = -34*q**3 - q**2 - q. Give k(-1)."
},
{
"from": "gpt",
"value": "34"
}
] |
[
{
"from": "human",
"value": "Suppose v + 4*v - 10 = 0. Differentiate v*s - 3 + 2*s + 0 + 2 wrt s."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Does -68/12244299 = 1?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify (1 + (sqrt(13) - (sqrt(13) + sqrt(325)*-3)) + -4)**2."
},
{
"from": "gpt",
"value": "2934 - 90*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "What comes next: 91, 221, 415, 667, 971, 1321, 1711, 2135?"
},
{
"from": "gpt",
"value": "2587"
}
] |
[
{
"from": "human",
"value": "Let q(u) be the third derivative of -u**8/1680 - u**5/30 - u**4/6 + 3*u**2. Let i(r) be the second derivative of q(r). Find the first derivative of i(j) wrt j."
},
{
"from": "gpt",
"value": "-12*j**2"
}
] |
[
{
"from": "human",
"value": "Let g = -35/4 + 9. Which is the nearest to g? (a) 1/3 (b) 3 (c) 1/4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let h = 924 + -643. Let y = -278 + h. Put -4, -5, y in decreasing order."
},
{
"from": "gpt",
"value": "y, -4, -5"
}
] |
[
{
"from": "human",
"value": "Evaluate (-11 - 1) + 8 + 8."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let j(d) = 5*d**2. Let p(q) = 10*q**2. Let i(m) = -7*j(m) + 4*p(m). Let o(w) be the third derivative of w**4/24 - 27*w**2. Calculate o(i(r))."
},
{
"from": "gpt",
"value": "5*r**2"
}
] |
[
{
"from": "human",
"value": "What is the square root of 103078 to the nearest integer?"
},
{
"from": "gpt",
"value": "321"
}
] |
[
{
"from": "human",
"value": "What is the value of (-4 - (-44)/6)/((-16)/24)?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Suppose -4*i = -20 - 0. Let d = 3.35 + -0.35. Which is the biggest value? (a) d (b) 0 (c) i"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let l = 0.069 + 0.031. Let h = 0 - 3. Which is the closest to l? (a) -1 (b) h (c) 0.4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Solve 4 = -2*a + p, -15*p + 10*p = -10 for a."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let a = -22 + 16. Let v be a*(-2 - 95/(-50)). What is the second smallest value in v, 1/6, -4?"
},
{
"from": "gpt",
"value": "1/6"
}
] |
[
{
"from": "human",
"value": "Product of 0.01 and -16."
},
{
"from": "gpt",
"value": "-0.16"
}
] |
[
{
"from": "human",
"value": "What is the derivative of 28*q**2*v**2 + 29896*q**2 + 261*q*v**2 wrt v?"
},
{
"from": "gpt",
"value": "56*q**2*v + 522*q*v"
}
] |
[
{
"from": "human",
"value": "Four letters picked without replacement from lsllllylllslllslyl. What is prob of picking 1 s, 1 y and 2 l?"
},
{
"from": "gpt",
"value": "13/85"
}
] |
[
{
"from": "human",
"value": "Simplify (-5*-2*sqrt(28) - 1*(sqrt(28) + -1))**2."
},
{
"from": "gpt",
"value": "36*sqrt(7) + 2269"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 4917."
},
{
"from": "gpt",
"value": "3, 11, 149"
}
] |
[
{
"from": "human",
"value": "Let p(r) = 3*r + 2. Let j be p(-2). Let q(c) = c**2 - c. Let o(w) = 2*w**2 + 2*w + 8. Let u(y) = -o(y) + 3*q(y). Let b be u(6). Are j and b non-equal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let h = 0.2 - -0.3. Suppose -45 = -2*q - 3*q. Let r be -3*(-6)/q - -3. What is the biggest value in r, 3, h?"
},
{
"from": "gpt",
"value": "r"
}
] |
[
{
"from": "human",
"value": "Is 346163 a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is -1 (base 12) in base 5?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Determine g so that -15*g**3 + 55*g**2 - 60*g + 20 = 0."
},
{
"from": "gpt",
"value": "2/3, 1, 2"
}
] |
[
{
"from": "human",
"value": "What is -10 + 85.3?"
},
{
"from": "gpt",
"value": "75.3"
}
] |
[
{
"from": "human",
"value": "What is the fourth smallest value in 1/2, -5/3, -3, 6, 2, -2/3, 38.9?"
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "In base 13, what is 80 - -8?"
},
{
"from": "gpt",
"value": "88"
}
] |
[
{
"from": "human",
"value": "Calculate 924 divided by -308."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is 339 plus 4?"
},
{
"from": "gpt",
"value": "343"
}
] |
[
{
"from": "human",
"value": "Let h = 28 - 16. Let i = h + -7. Solve 5*p + 10 = i*r, 5*p + 20 = -5*r - 0*p for r."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is next in -96, -233, -410, -627?"
},
{
"from": "gpt",
"value": "-884"
}
] |
[
{
"from": "human",
"value": "36390 divided by -6065"
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Let h = 0.38 - 0.4. Let s = h - 0.006. Round s to 2 dps."
},
{
"from": "gpt",
"value": "-0.03"
}
] |
[
{
"from": "human",
"value": "What is the product of -15 and 0.0408?"
},
{
"from": "gpt",
"value": "-0.612"
}
] |
[
{
"from": "human",
"value": "What is next in 19, 23, 35, 61, 107?"
},
{
"from": "gpt",
"value": "179"
}
] |
[
{
"from": "human",
"value": "Suppose 4*d - 4 = y, 4*y - d = 2 - 3. Suppose 0 = -y*n - 4*n - 16. Which is the closest to 2? (a) -5 (b) n (c) 0"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Three letters picked without replacement from {m: 4, s: 2, c: 2, b: 1, q: 1}. Give prob of picking 2 m and 1 b."
},
{
"from": "gpt",
"value": "1/20"
}
] |
[
{
"from": "human",
"value": "What is the fifth smallest value in -26, 11, 0.1, -0.5, 2/13, -3?"
},
{
"from": "gpt",
"value": "2/13"
}
] |
[
{
"from": "human",
"value": "10649 (base 10) to base 9"
},
{
"from": "gpt",
"value": "15542"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) 0 (b) -0.3 (c) 1 (d) -2/7"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Which is the third biggest value? (a) -2/15 (b) -1/65 (c) -0.2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let j = -50 + 54. Calculate the greatest common factor of j and 44."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the v'th term of 7905, 7904, 7903?"
},
{
"from": "gpt",
"value": "7906 - v"
}
] |
[
{
"from": "human",
"value": "What is the value of (6/16)/(129/172)?"
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "Solve 49 - 735 = -98*b for b."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is the units digit of 758?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Evaluate (5 - 3 - -1) + (-2 - 1)."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is 12 divided by -8?"
},
{
"from": "gpt",
"value": "-3/2"
}
] |
[
{
"from": "human",
"value": "Let a = 9 - 7. Suppose 0 = -3*n - a*n + 15. Suppose -3*w - 5 - 1 = 0, -n*r = 2*w - 8. Solve 0 = -r*f + 8*f + 8 for f."
},
{
"from": "gpt",
"value": "-2"
}
] |
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