conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let k = -0.04 + -4.76. Let s = -0.2 + k. Let b = -145/9 - -49/3. What is the nearest to 0.1 in 2, b, s?"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Suppose 1 = 4*n - 5*j - 0, -n + 3 = -4*j. Sort -4, 3, n, 5 in decreasing order."
},
{
"from": "gpt",
"value": "5, 3, n, -4"
}
] |
[
{
"from": "human",
"value": "What is the n'th term of -1753, -1755, -1757, -1759, -1761, -1763?"
},
{
"from": "gpt",
"value": "-2*n - 1751"
}
] |
[
{
"from": "human",
"value": "Suppose 2*x - 12 = -x. Let o be ((-2)/(-4))/(2/(-22)). Let t = -5 - o. Which is bigger: x or t?"
},
{
"from": "gpt",
"value": "x"
}
] |
[
{
"from": "human",
"value": "Is 10 a factor of 2120?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(19) + sqrt(304)*-2 - sqrt(19)) + -1."
},
{
"from": "gpt",
"value": "-8*sqrt(19) - 1"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -80*h**4 + h**3 + 9*h**2 + 464*h."
},
{
"from": "gpt",
"value": "-960*h**2 + 6*h + 18"
}
] |
[
{
"from": "human",
"value": "Let n(y) be the second derivative of -y**6/210 - y**5/35 - y**4/14 - 2*y**3/21 - y**2/14 + 11*y. Suppose n(i) = 0. Calculate i."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "In base 5, what is -1 - -221112?"
},
{
"from": "gpt",
"value": "221111"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 1:37 AM and 12:55 PM?"
},
{
"from": "gpt",
"value": "678"
}
] |
[
{
"from": "human",
"value": "Let b(o) be the third derivative of 7*o**5/60 + 7*o**3/6 - 28*o**2. Let h(m) = m**3 - 6*m**2 - 6. Give 6*b(p) + 7*h(p)."
},
{
"from": "gpt",
"value": "7*p**3"
}
] |
[
{
"from": "human",
"value": "Solve 3*j - 18 = 4*d + 8, -4*j = 5*d + 17 for d."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is 3 + 0 + -2 + 271 + -271?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Is 4 a factor of 79050?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "3 times -97"
},
{
"from": "gpt",
"value": "-291"
}
] |
[
{
"from": "human",
"value": "Let q = -127 + 126. Let f be (-72)/32 + (-6)/(-8). Which is the second smallest value? (a) 2/9 (b) f (c) -0.3 (d) q"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Suppose 15 = 66*o - 63*o. Suppose 4*q = -5*p - 24, -2*p = -7*p - o*q - 25. What is the tens digit of 140 - 18/p*2/3?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let b(z) = -6*z - 2. Let g = 5 - 2. Let w(y) = -y**2 + 7*y + 3. Let i(c) = g*b(c) + 2*w(c). What is the second derivative of i(n) wrt n?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose -p - 19 - 8 = -5*z, -17 = -5*z - 4*p. Suppose -16 = r - z*r. Suppose -r*k = -9*k + 55. Calculate the remainder when k is divided by 3."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Round 0.0008506 to 4 decimal places."
},
{
"from": "gpt",
"value": "0.0009"
}
] |
[
{
"from": "human",
"value": "What is 323 minutes before 2:12 AM?"
},
{
"from": "gpt",
"value": "8:49 PM"
}
] |
[
{
"from": "human",
"value": "What is 80.08 rounded to zero decimal places?"
},
{
"from": "gpt",
"value": "80.0"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 274 is divided by 98?"
},
{
"from": "gpt",
"value": "78"
}
] |
[
{
"from": "human",
"value": "Calculate 1/(1*3)*112/168."
},
{
"from": "gpt",
"value": "2/9"
}
] |
[
{
"from": "human",
"value": "Let -u**2/3 - 5*u + 250/3 = 0. Calculate u."
},
{
"from": "gpt",
"value": "-25, 10"
}
] |
[
{
"from": "human",
"value": "Let x = -117 + 126. Calculate the remainder when 50 is divided by x."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the g'th term of 637, 1184, 1741, 2314, 2909, 3532, 4189?"
},
{
"from": "gpt",
"value": "g**3 - g**2 + 543*g + 94"
}
] |
[
{
"from": "human",
"value": "Let k = -12/13 - -49/39. What is the fourth biggest value in 4, -0.3, k, -10?"
},
{
"from": "gpt",
"value": "-10"
}
] |
[
{
"from": "human",
"value": "Solve -12*x + 7*x + 4*z + 18 = 0, 0 = 4*x - 3*z - 14 for x."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Put 0, 19/4, -7/11 in decreasing order."
},
{
"from": "gpt",
"value": "19/4, 0, -7/11"
}
] |
[
{
"from": "human",
"value": "Is 3907 prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Simplify -4 + 5 + sqrt(27) + sqrt(3)."
},
{
"from": "gpt",
"value": "1 + 4*sqrt(3)"
}
] |
[
{
"from": "human",
"value": "Solve -118*q = -k - 115*q + 2, -5*k - 26 = 3*q for k."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Is 72643 prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "(24/14)/(8/28)"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let k = 6 + -4. Suppose -5*b - 3*d + 4*d + 10 = 0, 4*b - k*d - 8 = 0. Suppose -4*q + b*q = 0. Solve -2*n = 2 - q for n."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Solve 34*q = 35*q + 2 for q."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1 in -0.4, 37, 0.1, -0.5?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 3:35 PM and 8:33 PM?"
},
{
"from": "gpt",
"value": "298"
}
] |
[
{
"from": "human",
"value": "Let m(h) be the first derivative of h**4 + 4*h**3/3 - 7. Find the third derivative of m(q) wrt q."
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "What is -1 - 44?"
},
{
"from": "gpt",
"value": "-45"
}
] |
[
{
"from": "human",
"value": "Let q(z) = 15*z**3 - 13*z**2 - 47. Let a(l) = -8*l**3 + 7*l**2 + 24. Give 11*a(p) + 6*q(p)."
},
{
"from": "gpt",
"value": "2*p**3 - p**2 - 18"
}
] |
[
{
"from": "human",
"value": "Let l be 1/2 - 1/2. What is the second derivative of -n**5 - 4*n**2 + l*n**5 + 4*n**2 - n wrt n?"
},
{
"from": "gpt",
"value": "-20*n**3"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -101110101 - -11?"
},
{
"from": "gpt",
"value": "-101110010"
}
] |
[
{
"from": "human",
"value": "Evaluate (-3)/(-1)*4/(-6)."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Divide 75 by -2."
},
{
"from": "gpt",
"value": "-75/2"
}
] |
[
{
"from": "human",
"value": "Solve 4*m - v = 3*v, 2*m + 3*v + 10 = 0 for m."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Calculate 2 + -2 + 4 + 221/(-52)."
},
{
"from": "gpt",
"value": "-1/4"
}
] |
[
{
"from": "human",
"value": "In base 10, what is 487 + -12?"
},
{
"from": "gpt",
"value": "475"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 4529."
},
{
"from": "gpt",
"value": "7, 647"
}
] |
[
{
"from": "human",
"value": "Is -4 equal to -22/9?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let c = -148 + 158.3. Let x = 10 - c. What is the nearest to 1/3 in x, -2, 1?"
},
{
"from": "gpt",
"value": "x"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 0 - 4*w**2 + 20*w**2 + 2."
},
{
"from": "gpt",
"value": "16*w**2 + 2"
}
] |
[
{
"from": "human",
"value": "-66 times 19"
},
{
"from": "gpt",
"value": "-1254"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 26 and 14?"
},
{
"from": "gpt",
"value": "182"
}
] |
[
{
"from": "human",
"value": "Let h be 3/1*(0 + 2). Suppose 2*v = -3*g + 8*g + h, -3*g = -4*v + 12. Suppose f - 7 = -w, -28 = -g*f - 3*f + 4*w. Solve 4*m - 2*m + f = 0 for m."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Is 156/21*(-7)/(-2) even?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 15, what is -14 - 2?"
},
{
"from": "gpt",
"value": "-16"
}
] |
[
{
"from": "human",
"value": "Evaluate (4 - 10) + 1 - -1."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Solve 5*r + 54 = -4*r for r."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 12:33 PM and 7:52 PM?"
},
{
"from": "gpt",
"value": "439"
}
] |
[
{
"from": "human",
"value": "Solve -7*o - 54 = -25*o for o."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Is 78059 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let w = -109 - -114. Which is the closest to -2? (a) w (b) 0 (c) 0.4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Solve 8*b - 6 = 14*b for b."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Determine a so that 16*a**4 - 58*a**3 + 56*a**2 - 2*a - 12 = 0."
},
{
"from": "gpt",
"value": "-3/8, 1, 2"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -46*c**4 + 43*c wrt c."
},
{
"from": "gpt",
"value": "-552*c**2"
}
] |
[
{
"from": "human",
"value": "Simplify (4*sqrt(1700)*1 - sqrt(1700))**2."
},
{
"from": "gpt",
"value": "15300"
}
] |
[
{
"from": "human",
"value": "Convert -5 (base 11) to base 14."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let n(r) = -5*r**2 + 2*r + 2. Give n(-1)."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let f(u) be the second derivative of -u**4/12 + u**3/2 + 3*u**2 - 2*u. Let k be f(4). Find the third derivative of -3*b**2 + 5*b**2 - b**3 + 0*b**k wrt b."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Work out -69 + -64564."
},
{
"from": "gpt",
"value": "-64633"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 823 is divided by 33?"
},
{
"from": "gpt",
"value": "31"
}
] |
[
{
"from": "human",
"value": "Let c = 34 - 16. Let h be 17/5 + (-10)/25. Let y be h + -2 + 2/2. Calculate the highest common factor of y and c."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -i**4*o + 2*i**3 + 54*i**2*o - 5*i*o - 41*i wrt i."
},
{
"from": "gpt",
"value": "-12*i**2*o + 12*i + 108*o"
}
] |
[
{
"from": "human",
"value": "Let a be ((-6)/9)/2*-9. Let o be a/((-3)/4)*-10. Solve -n = -4*n + 2*h - 25, 5*h - o = 3*n for n."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let n = -35597/5 + 7120. Suppose -t + 6*t + 22 = z, 0 = 3*z + 4*t + 10. Suppose -3*p + g = z*p, -3*p = -5*g. Do n and p have the same value?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Add 4 and 3809."
},
{
"from": "gpt",
"value": "3813"
}
] |
[
{
"from": "human",
"value": "Let n(g) = 2*g**2 - 5*g - 2. Let m(w) = w**2 + 6*w + 2. Let k be m(-6). Suppose k*f + 0*f = 22. Let p(b) = -4*b**2 + 9*b + 4. Give f*n(z) + 6*p(z)."
},
{
"from": "gpt",
"value": "-2*z**2 - z + 2"
}
] |
[
{
"from": "human",
"value": "Calculate -1.3*-0.042."
},
{
"from": "gpt",
"value": "0.0546"
}
] |
[
{
"from": "human",
"value": "Solve 32 = -16*g - 48 for g."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let h = -4 - 2. Let l be (21/h)/(4/(-8)). Solve l + 9 = 4*x for x."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 4*n**5 - 70*n**2 - 2785*n."
},
{
"from": "gpt",
"value": "80*n**3 - 140"
}
] |
[
{
"from": "human",
"value": "Determine d so that -d**2 + 12*d - 11 = 0."
},
{
"from": "gpt",
"value": "1, 11"
}
] |
[
{
"from": "human",
"value": "In base 12, what is 9ba4 - 5?"
},
{
"from": "gpt",
"value": "9b9b"
}
] |
[
{
"from": "human",
"value": "Subtract 3.109 from -0.82."
},
{
"from": "gpt",
"value": "-3.929"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 5695."
},
{
"from": "gpt",
"value": "5, 17, 67"
}
] |
[
{
"from": "human",
"value": "Suppose 4 - 6 = -2*y. Let l be (-111)/120 + y/8. What is the smallest value in -2/3, -2, l?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Calculate -0.5*10.5."
},
{
"from": "gpt",
"value": "-5.25"
}
] |
[
{
"from": "human",
"value": "Suppose 6*f = 10*f - 16. Let p(v) = v**2 - 5*v + 1. Let n be p(4). Let h be (-1*3)/n + -1. Solve f*k - 2*d = -12, h = -k - 5*d + 3 - 6 for k."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Calculate 2/(-35)*((-50)/(-6))/5."
},
{
"from": "gpt",
"value": "-2/21"
}
] |
[
{
"from": "human",
"value": "Let d = 10.1 - 1.1. Let t = d + -9.15. Let u = t - -9.55. Round u to the nearest integer."
},
{
"from": "gpt",
"value": "9.0"
}
] |
[
{
"from": "human",
"value": "Suppose 3*j + 4 = 5*b, 3*b - 41 = -3*j - b. Suppose 4*l = 1 + j. Put 0, 1, l in increasing order."
},
{
"from": "gpt",
"value": "0, 1, l"
}
] |
[
{
"from": "human",
"value": "Solve -8*b - 5*b = 65 for b."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let r = -457/14 - -65/2. Which is smaller: r or 0?"
},
{
"from": "gpt",
"value": "r"
}
] |
[
{
"from": "human",
"value": "What is the s'th term of -8686, -8667, -8622, -8539, -8406, -8211, -7942?"
},
{
"from": "gpt",
"value": "2*s**3 + s**2 + 2*s - 8691"
}
] |
[
{
"from": "human",
"value": "Suppose 3*q - 15 = 15. Let x = q + -68/7. Are -2/11 and x unequal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve -19*g = 9*g + 252, 5*a - 4*g - 16 = 0 for a."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the value of (-2)/(-3)*(-13)/((-650)/45)?"
},
{
"from": "gpt",
"value": "3/5"
}
] |
[
{
"from": "human",
"value": "Solve 43*f - 47*f = 20 for f."
},
{
"from": "gpt",
"value": "-5"
}
] |
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