conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "What is -4 divided by -28?"
},
{
"from": "gpt",
"value": "1/7"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of -44, 103, 342, 667, 1072, 1551, 2098, 2707?"
},
{
"from": "gpt",
"value": "-u**3 + 52*u**2 - 2*u - 93"
}
] |
[
{
"from": "human",
"value": "What is the third root of 1856 to the nearest integer?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Let g(o) = 3*o**2. Let v(q) = -7 + 7 + 4*q. What is v(g(h))?"
},
{
"from": "gpt",
"value": "12*h**2"
}
] |
[
{
"from": "human",
"value": "Let r = 0.61 + 0.39. Put 1/5, r, 5 in decreasing order."
},
{
"from": "gpt",
"value": "5, r, 1/5"
}
] |
[
{
"from": "human",
"value": "Solve -19*l - 22 = -8*l for l."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Is 44009 prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let q be ((-33)/(-4))/((-18)/(-96)). Suppose -5*x + q = 5*f - 11, f - 5*x - 17 = 0. Factor f*v**3 + 5*v**2 + 28/3*v**4 + 2/3*v + 0."
},
{
"from": "gpt",
"value": "v*(2*v + 1)**2*(7*v + 2)/3"
}
] |
[
{
"from": "human",
"value": "Let w be (-2 + -1)/((-2)/12). What is the highest common factor of 36 and w?"
},
{
"from": "gpt",
"value": "18"
}
] |
[
{
"from": "human",
"value": "Is 706507 a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Express (-4 + 3 + 2)*(-12*d**2 + 37*d**2 - d**2) as m*d**2 + y*d + u and give u."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let b = -17 + 17.7. Let q = b - -0.3. Let d = 6.2 + -1.2. Is q less than d?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Simplify (2*sqrt(216))/sqrt(12) + 0."
},
{
"from": "gpt",
"value": "6*sqrt(2)"
}
] |
[
{
"from": "human",
"value": "-0.7 times 35"
},
{
"from": "gpt",
"value": "-24.5"
}
] |
[
{
"from": "human",
"value": "Let w = 493/42 - 38/3. Let s = w - -3/7. Let x = -6 - -5. Which is the second smallest value? (a) s (b) 0.3 (c) x"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose 2*l + b = -6, 5*b + 18 = 3*l - 7*l. Let k = l + 0. Which is greater: k or -1/3?"
},
{
"from": "gpt",
"value": "-1/3"
}
] |
[
{
"from": "human",
"value": "Rearrange -6*n**2 + 5*n**3 - n**3 - 3*n**3 - 2*n**4 to the form j*n + u + y*n**2 + k*n**4 + b*n**3 and give b."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Solve 10*a = -189 + 289 for a."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is w in -w**3 + 2*w**2 + 3*w = 0?"
},
{
"from": "gpt",
"value": "-1, 0, 3"
}
] |
[
{
"from": "human",
"value": "What is -1 (base 16) in base 7?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0.1? (a) 4 (b) -3 (c) -16 (d) 32"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let n be (5/(-15))/((-2)/6). What is the derivative of 26*f - n - 26*f + 6 + 3*f**3 wrt f?"
},
{
"from": "gpt",
"value": "9*f**2"
}
] |
[
{
"from": "human",
"value": "Let a = -4 + 9. Suppose a*x = 2*x + 15. Let l be -3 + 51/(x + -2). What is the greatest common factor of l and 126?"
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Let j = -0.52 - -0.02. Let u = 0.7 + j. Let y = -0.04 - 0.06. Are u and y non-equal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 268 is divided by 123?"
},
{
"from": "gpt",
"value": "22"
}
] |
[
{
"from": "human",
"value": "What is next in -61, -118, -175?"
},
{
"from": "gpt",
"value": "-232"
}
] |
[
{
"from": "human",
"value": "What is 442.6764t in nanograms?"
},
{
"from": "gpt",
"value": "442676400000000000"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(612)*-1*4 + sqrt(612))**2*6 + -4."
},
{
"from": "gpt",
"value": "33044"
}
] |
[
{
"from": "human",
"value": "Solve -361*d = -351*d - 20 for d."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "(-100)/(-36) - (-3 - -4 - -2)"
},
{
"from": "gpt",
"value": "-2/9"
}
] |
[
{
"from": "human",
"value": "What is the closest to -0.2 in -2, -2/9, 0.2?"
},
{
"from": "gpt",
"value": "-2/9"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 0.3 (b) -4 (c) 0 (d) 39"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Evaluate -25*(28/4)/(-35)."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let h be 2/1 + (-24)/(-20). Let b = h - 27/10. Factor -5*w**3 - 1/2*w**5 - 5/2*w**4 - 5/2*w - b - 5*w**2."
},
{
"from": "gpt",
"value": "-(w + 1)**5/2"
}
] |
[
{
"from": "human",
"value": "Suppose -a - v + 46 = 3*a, -5*v = -a + 22. Suppose -p + 5*p - a = 0. What are the prime factors of p?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let f be ((-3)/(-6))/(1/14). Let h(d) = 3*d + d - f*d. Let g(q) = 3*q. Calculate h(g(u))."
},
{
"from": "gpt",
"value": "-9*u"
}
] |
[
{
"from": "human",
"value": "Is 24 a factor of 1752?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 12, what is 1a + 9?"
},
{
"from": "gpt",
"value": "27"
}
] |
[
{
"from": "human",
"value": "Convert 198.940023 nanoseconds to days."
},
{
"from": "gpt",
"value": "0.0000000000023025465625"
}
] |
[
{
"from": "human",
"value": "Let d(k) = k**2 - 6*k - 8. Let z be d(7). What is the closest to 0.1 in 1/5, z, -5?"
},
{
"from": "gpt",
"value": "1/5"
}
] |
[
{
"from": "human",
"value": "Let j(f) = 19*f**2 + 1. Let d(x) = 31*x - 2. Calculate j(d(b))."
},
{
"from": "gpt",
"value": "18259*b**2 - 2356*b + 77"
}
] |
[
{
"from": "human",
"value": "Calculate 86 divided by -86."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Evaluate (275/110)/(2/(-4))."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of -1176*-51*(-3)/6*7/(-21)?"
},
{
"from": "gpt",
"value": "2, 3, 7, 17"
}
] |
[
{
"from": "human",
"value": "Let w(k) = 32 - k. Let c be w(15). Solve -3*h = x + c, -5*x - 45 = 3*h + 2*h for x."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Suppose -3*x + 2*x - 4 = 0. Let t be -5*(0 + 1)*1. Let k(r) = r**2 - r. Let v be k(0). Sort x, v, t in ascending order."
},
{
"from": "gpt",
"value": "t, x, v"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -52? (a) -0.3 (b) 4 (c) -2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is next in 68, 143, 238, 359, 512?"
},
{
"from": "gpt",
"value": "703"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 9:17 PM and 11:01 PM?"
},
{
"from": "gpt",
"value": "104"
}
] |
[
{
"from": "human",
"value": "Suppose -100*r = -96*r. Let w(l) be the first derivative of -1/3*l**3 + r*l**2 - 3 - l. What is the derivative of w(d) wrt d?"
},
{
"from": "gpt",
"value": "-2*d"
}
] |
[
{
"from": "human",
"value": "Sort 0.01, -25, 595 in descending order."
},
{
"from": "gpt",
"value": "595, 0.01, -25"
}
] |
[
{
"from": "human",
"value": "Let u = 194 - -93. List the prime factors of u."
},
{
"from": "gpt",
"value": "7, 41"
}
] |
[
{
"from": "human",
"value": "Suppose -5*y - 50 = n - 171, -3*y = 4*n - 59. Calculate the remainder when 45 is divided by y."
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "What comes next: 8, 31, 90, 203, 388, 663, 1046, 1555?"
},
{
"from": "gpt",
"value": "2208"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -523 or -3659/7?"
},
{
"from": "gpt",
"value": "-523"
}
] |
[
{
"from": "human",
"value": "Suppose -3*g + 4*v = -71, 4*g + g + 5*v = 95. Let o be 7/g + (-23)/(-3). Let y = o + 57. Is y composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let y be 2/(-6) - 32/(-6). Suppose 2*k - 28 = -2*x - 3*k, y*x + 5*k - 40 = 0. Find the second derivative of -x*o**2 + 0*o**2 + o + 3*o**2 wrt o."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let w = 27 + -137. Let d = w - -178. Suppose -3*s + d + 4 = 0. Does 13 divide s?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let b = 20 - 6. Suppose 0 = -2*n - 0*n + 610. Let k = n - 207. What is the greatest common factor of b and k?"
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "What is 4 divided by 191?"
},
{
"from": "gpt",
"value": "4/191"
}
] |
[
{
"from": "human",
"value": "Let w(q) be the second derivative of q**5/2 + 3*q**4/4 + q. What is the third derivative of w(u) wrt u?"
},
{
"from": "gpt",
"value": "60"
}
] |
[
{
"from": "human",
"value": "Let x(s) = -s**2 - 8*s - 6. Let q be x(-6). Suppose 0 = 2*t - t - q. Suppose -o = o + t. Which is the third smallest value? (a) -0.3 (b) o (c) 2/3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the next term in 2, -10, -42, -94, -166, -258, -370?"
},
{
"from": "gpt",
"value": "-502"
}
] |
[
{
"from": "human",
"value": "What is the square root of 2461 to the nearest integer?"
},
{
"from": "gpt",
"value": "50"
}
] |
[
{
"from": "human",
"value": "Let y = 17 + -15. Suppose -1635 = -4*v + 5*b, y*v + 8*b - 855 = 3*b. Is v a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -1587 or -14282/9?"
},
{
"from": "gpt",
"value": "-1587"
}
] |
[
{
"from": "human",
"value": "(-64)/96*3/(-2)"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 24 and 54?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Suppose -36 = 2*u - 4*p, 4 = -0*p + p. Let f = -5 - u. Let b(d) = -4*d - 8. Let w(a) = a + 1. Let m(x) = f*w(x) + b(x). What is m(4)?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(13) - -1*sqrt(13)) + 5)*-5."
},
{
"from": "gpt",
"value": "-10*sqrt(13) - 25"
}
] |
[
{
"from": "human",
"value": "Total of -0.03 and 8.12."
},
{
"from": "gpt",
"value": "8.09"
}
] |
[
{
"from": "human",
"value": "Calculate ((-6)/(-3780)*12)/((-5)/(-25))."
},
{
"from": "gpt",
"value": "2/21"
}
] |
[
{
"from": "human",
"value": "Determine u, given that u**2 + 224*u + 223 = 0."
},
{
"from": "gpt",
"value": "-223, -1"
}
] |
[
{
"from": "human",
"value": "Solve -q - 4 = -2 for q."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 1966 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common divisor of 54 and 783."
},
{
"from": "gpt",
"value": "27"
}
] |
[
{
"from": "human",
"value": "Solve 11*x - 16*x = 5 for x."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let s = 449 + -450. Let v(p) = -7*p**3 - 5*p**2 + 5*p - 2. Let u(n) = -n**2 - n - 3. Let x be u(-2). Let j(z) = z**3 + z**2 - z. Calculate s*v(r) + x*j(r)."
},
{
"from": "gpt",
"value": "2*r**3 + 2"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 1573 and 242?"
},
{
"from": "gpt",
"value": "121"
}
] |
[
{
"from": "human",
"value": "Let k(i) = -i**2 - 4*i - 1. Let p be k(-3). Let w = -32/9 - -38/9. Factor w - 2/3*r**p + 0*r."
},
{
"from": "gpt",
"value": "-2*(r - 1)*(r + 1)/3"
}
] |
[
{
"from": "human",
"value": "What comes next: -9090, -36357, -81802, -145425, -227226?"
},
{
"from": "gpt",
"value": "-327205"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 6 (b) -7 (c) -5 (d) 1 (e) 11"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is 4299 divided by 1433?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 27239?"
},
{
"from": "gpt",
"value": "27239"
}
] |
[
{
"from": "human",
"value": "In base 7, what is 42 + 14?"
},
{
"from": "gpt",
"value": "56"
}
] |
[
{
"from": "human",
"value": "Let w(g) = 115 - g. Let v be w(28). Suppose 4*a = v - 27. Calculate the highest common factor of 15 and a."
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Is 11911 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "(-3 - 2) + (5 - (32 - 41))"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Express (-172 + 172 + 18*y**2 - 3*y)*(2 + 1 - 2) in the form j + f*y + k*y**2 and give f."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Is 132119 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 0.7, -0.4, 5, 1.3?"
},
{
"from": "gpt",
"value": "0.7"
}
] |
[
{
"from": "human",
"value": "What comes next: 11, 28, 71, 152, 283, 476, 743?"
},
{
"from": "gpt",
"value": "1096"
}
] |
[
{
"from": "human",
"value": "What is the z'th term of 48, 105, 164, 225, 288?"
},
{
"from": "gpt",
"value": "z**2 + 54*z - 7"
}
] |
[
{
"from": "human",
"value": "Is 301 a multiple of 43?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let j(h) be the first derivative of -238*h**4 - 992*h**3/3 - 676. Find the third derivative of j(s) wrt s."
},
{
"from": "gpt",
"value": "-5712"
}
] |
[
{
"from": "human",
"value": "Solve 2 = 2*f + 8, 2*k = 2*f + 6 for k."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the eighth root of 30442 to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Solve -10*s = -s + 36 for s."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Product of 2.2 and -9."
},
{
"from": "gpt",
"value": "-19.8"
}
] |
[
{
"from": "human",
"value": "Suppose 41 = 2*p - 33. Calculate the remainder when p is divided by 38/2 + 2 + -2."
},
{
"from": "gpt",
"value": "18"
}
] |
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