conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "What is next in 0, 7, 28, 69, 136, 235?"
},
{
"from": "gpt",
"value": "372"
}
] |
[
{
"from": "human",
"value": "Factor 3*j**4 - 63*j**3 + 261*j**2 - 345*j + 144."
},
{
"from": "gpt",
"value": "3*(j - 16)*(j - 3)*(j - 1)**2"
}
] |
[
{
"from": "human",
"value": "Suppose 2*i - 5*b = 0, -4*b = -i - 0*b - 3. Suppose -5*r - i = 2*f - 27, -5*r + 2*f = -18. Solve -3*w = -p + 13, -2*w + p = 6 + r for w."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let t be (2/6)/(8/18). Let g(n) = -n**2 - 9*n - 10. Let l be g(-7). Let q = 1 + -2. Which is the biggest value? (a) q (b) l (c) t"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Suppose 444 = q - 5*f, q + 4*f = -2*q + 1237. What is the units digit of q?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Solve 4*v = -39 + 67 for v."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Let v = -70 - -83. Solve 0 = -17*y + v*y + 8 for y."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Work out -0.99 * -3."
},
{
"from": "gpt",
"value": "2.97"
}
] |
[
{
"from": "human",
"value": "Let q = 11 + -11. Let x(g) be the second derivative of -1/21*g**7 + q*g**4 - 2*g - 1/10*g**5 + 0*g**3 + 0 + 0*g**2 - 2/15*g**6. Factor x(i)."
},
{
"from": "gpt",
"value": "-2*i**3*(i + 1)**2"
}
] |
[
{
"from": "human",
"value": "What is the biggest value in 0.8, -2/71, -22/3, -3?"
},
{
"from": "gpt",
"value": "0.8"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 42 is divided by (2 + -22)*3/(-5)?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Express (-3*c + 2*c + 2*c)*(1 + 3 - 3)*(-3*c**2 - 17*c + 17*c) in the form l*c**3 + r*c + a + f*c**2 and give l."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Factor -4*z**3 + 104*z**2."
},
{
"from": "gpt",
"value": "-4*z**2*(z - 26)"
}
] |
[
{
"from": "human",
"value": "Suppose 5*b + 7 - 17 = -2*u, 0 = -b - 5*u + 2. What is the nearest to 1/4 in -4/5, b, 1/3?"
},
{
"from": "gpt",
"value": "1/3"
}
] |
[
{
"from": "human",
"value": "Solve -l - 15 = 4*t, 9*t - 4*t = 3*l - 6 for t."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "(-5)/((-15)/18)*12/(-9)"
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "Factor 3*f**5 - 9*f**4 + 3*f**3 - 608*f + 602*f - 5*f**2 + 8*f**2 + 6*f**2."
},
{
"from": "gpt",
"value": "3*f*(f - 2)*(f - 1)**2*(f + 1)"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1 in -5/4, -2, 0.09, 3?"
},
{
"from": "gpt",
"value": "0.09"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -8*f**2*o**5 - 2*f**2 + 331*f*o**5 + 242*f*o + 5*o wrt o."
},
{
"from": "gpt",
"value": "-160*f**2*o**3 + 6620*f*o**3"
}
] |
[
{
"from": "human",
"value": "Let d be 114/22 - (-2)/(-11). Suppose d = -5*s + 75. What is the remainder when s is divided by 5?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the difference between 0.18 and 375405?"
},
{
"from": "gpt",
"value": "375404.82"
}
] |
[
{
"from": "human",
"value": "Let x be -1 + (7 - (-2 + 1)). Let z = x - -4. Let k(s) = 4*s**2 + 6*s + 17. Calculate the remainder when k(-2) is divided by z."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Suppose 5*f - 2*f - 24 = 0. Suppose -7*v = -5*v - f. Solve -3*s - 9 = -4*l, -2*s + 3*s + l = v for s."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 5544?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Find r such that -3*r**5/2 - 3*r**4 + 21*r**3/8 + 51*r**2/8 - 9*r/8 - 27/8 = 0."
},
{
"from": "gpt",
"value": "-3/2, -1, 1"
}
] |
[
{
"from": "human",
"value": "Work out 0.3 - 0.016323."
},
{
"from": "gpt",
"value": "0.283677"
}
] |
[
{
"from": "human",
"value": "Round -0.051299 to 4 dps."
},
{
"from": "gpt",
"value": "-0.0513"
}
] |
[
{
"from": "human",
"value": "What is (2/(-65))/(4/(-60)*3)?"
},
{
"from": "gpt",
"value": "2/13"
}
] |
[
{
"from": "human",
"value": "What is 11853 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "109"
}
] |
[
{
"from": "human",
"value": "Let f = 2 - 2. Suppose 0 = -2*y - f + 2. Let j(r) = 15*r. What is the units digit of j(y)?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Put 8, 15, -2, 21, 39 in descending order."
},
{
"from": "gpt",
"value": "39, 21, 15, 8, -2"
}
] |
[
{
"from": "human",
"value": "Let j be (1 + (-7)/(-2))*6. Let t be j/2*4/6. Let o = 0 + t. What are the prime factors of o?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Calculate 500 divided by 2."
},
{
"from": "gpt",
"value": "250"
}
] |
[
{
"from": "human",
"value": "Factor -4/7*c**3 + 0*c**2 + 0 + 0*c + 8/7*c**4 - 4/7*c**5."
},
{
"from": "gpt",
"value": "-4*c**3*(c - 1)**2/7"
}
] |
[
{
"from": "human",
"value": "Solve -7*g + 6*g - 5 = 0, 0 = 2*v - 5*g - 23 for v."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Suppose -5*u - 5 = -3*l, -l - 1 + 3 = -2*u. Factor 3/4*w**3 + 1/2*w**2 + 1/4*w**4 + l*w + 0."
},
{
"from": "gpt",
"value": "w**2*(w + 1)*(w + 2)/4"
}
] |
[
{
"from": "human",
"value": "Let -f**5/4 - f**4 + 7*f**3/4 + 5*f**2/2 = 0. Calculate f."
},
{
"from": "gpt",
"value": "-5, -1, 0, 2"
}
] |
[
{
"from": "human",
"value": "What is the square root of 4288 to the nearest integer?"
},
{
"from": "gpt",
"value": "65"
}
] |
[
{
"from": "human",
"value": "Simplify -3*sqrt(567)*2."
},
{
"from": "gpt",
"value": "-54*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "Is -0.99 less than -3/5?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let f be 120/36*(1 - -2). Calculate the highest common divisor of f and 122."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Subtract 0.1 from 32."
},
{
"from": "gpt",
"value": "31.9"
}
] |
[
{
"from": "human",
"value": "231 divided by -1"
},
{
"from": "gpt",
"value": "-231"
}
] |
[
{
"from": "human",
"value": "Solve 1 = -v - 3*n - 2, -2 = 2*v + 2*n for v."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Calculate 0 divided by 53."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Is 97421 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -364*d**4*l*v**3 - 6*d**4 - 23*d*l*v**2 + 46*d*l - 2*d*v**3 - 2*l*v**3 wrt d."
},
{
"from": "gpt",
"value": "-4368*d**2*l*v**3 - 72*d**2"
}
] |
[
{
"from": "human",
"value": "Suppose -4*z = -3*z - 1. Suppose 0 = 4*m - 2*n + 6*n - 36, -3*m = n - 19. Calculate the remainder when m is divided by z."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose 35 = 4*w - 33. Let z = w + -1. Let t be 8/(-36) + (-146)/(-9). What is the greatest common factor of t and z?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "Determine m, given that 2*m**2 - 16/7*m - 32/7 - 2/7*m**3 = 0."
},
{
"from": "gpt",
"value": "-1, 4"
}
] |
[
{
"from": "human",
"value": "Let a be 4/(-16) + 1/4. Let h be (a*(-2)/6)/(-2). Let d(v) = v + 12. Let t be d(h). What is the highest common divisor of 4 and t?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let w(z) = 5*z**2 - 4. Let u(a) = 15 - 20*a**2. Give 4*u(s) + 15*w(s)."
},
{
"from": "gpt",
"value": "-5*s**2"
}
] |
[
{
"from": "human",
"value": "Solve -14*r - 24 = -26*r for r."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-6)/45)/((-6)/60) - 2?"
},
{
"from": "gpt",
"value": "-2/3"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of 164, 329, 528, 779, 1100, 1509, 2024?"
},
{
"from": "gpt",
"value": "3*u**3 - u**2 + 147*u + 15"
}
] |
[
{
"from": "human",
"value": "Calculate -3 divided by 199."
},
{
"from": "gpt",
"value": "-3/199"
}
] |
[
{
"from": "human",
"value": "What is the second biggest value in 0.2, 2/3, 1/4, 6?"
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "Let c(p) = p + 17 - 22 + 15. Let u be c(-7). Is 3 at most u?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the value of 8 + (-3)/(-6)*-8?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 8 times -9?"
},
{
"from": "gpt",
"value": "-72"
}
] |
[
{
"from": "human",
"value": "Let u be (1/(-3))/(-58*14/4). Which is bigger: -1 or u?"
},
{
"from": "gpt",
"value": "u"
}
] |
[
{
"from": "human",
"value": "Let i be (-8)/6*(-3 + 0). Let s be 1/4 - (-15)/i. Find the first derivative of s - 2*a - 3 - 2 wrt a."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve -14*i = 1357 - 1455 for i."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) 0.66 (b) -2/11 (c) 2/9"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the biggest value in -2.5, -0.3, 5?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Simplify (-2*sqrt(288)*-3 + 2)**2."
},
{
"from": "gpt",
"value": "288*sqrt(2) + 10372"
}
] |
[
{
"from": "human",
"value": "Let s(v) = -v**3 + 4*v**2 + 2*v - 3. Let l(h) = 2*h**2 - 2*h - 1. Let n be l(2). Suppose 2*j = n*j - 1. Suppose -j = -4*t + 11. Calculate s(t)."
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 20745 is divided by 39?"
},
{
"from": "gpt",
"value": "36"
}
] |
[
{
"from": "human",
"value": "Let y be (-6)/4*(-30)/9. Solve h = m - 4*m + y, 4*m - 28 = 4*h for m."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of 4, -10, -54, -146, -304, -546?"
},
{
"from": "gpt",
"value": "-3*u**3 + 3*u**2 - 2*u + 6"
}
] |
[
{
"from": "human",
"value": "Solve -f - 1 = 0, 0*d - 4*f = -3*d - 5 for d."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Is 225679 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let u**5/3 + 65*u**4/3 - 134*u**3/3 + 2*u**2/3 + 133*u/3 - 67/3 = 0. What is u?"
},
{
"from": "gpt",
"value": "-67, -1, 1"
}
] |
[
{
"from": "human",
"value": "Is 33 smaller than 31?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 22488?"
},
{
"from": "gpt",
"value": "2, 3, 937"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common divisor of 384 and 22016."
},
{
"from": "gpt",
"value": "128"
}
] |
[
{
"from": "human",
"value": "Let x = -2 + 2.08. Is x less than 2/7?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let z(f) be the third derivative of -f**6/360 + f**5/30 - f**4/8 - 3*f**2. Let y(c) be the second derivative of z(c). Calculate y(5)."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Is 63 greater than or equal to 66?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Is 15769 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Evaluate -8 + 3 - (8 + -9)."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 266 and 19?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Let y(x) be the second derivative of -x**8/336 + x**7/105 - x**5/30 + x**4/24 - x**2 - 4*x. Let t(c) be the first derivative of y(c). Factor t(i)."
},
{
"from": "gpt",
"value": "-i*(i - 1)**3*(i + 1)"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 33 in 0.2, 5, 0?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the value of (6 + -6)/((-2)/(-2) - -2)?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -2*z + 12 - 4. Let -8*a**4 + 3 + 5*a**z + 2*a + 6*a**3 - 8*a = 0. What is a?"
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "What is next in -368, -427, -514, -623, -748, -883?"
},
{
"from": "gpt",
"value": "-1022"
}
] |
[
{
"from": "human",
"value": "Which is greater: 91 or 88?"
},
{
"from": "gpt",
"value": "91"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(540)*2)/sqrt(12))/(-1*sqrt(225) + sqrt(9))."
},
{
"from": "gpt",
"value": "-sqrt(5)/2"
}
] |
[
{
"from": "human",
"value": "What is the eighth root of 59 to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let i be ((-2)/(-6))/(2/6). Solve 0 = -p + 2, 3*o + i + 4 = -2*p for o."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the closest to 0 in 4.683, -0.1, -2/5, -2/11?"
},
{
"from": "gpt",
"value": "-0.1"
}
] |
[
{
"from": "human",
"value": "How many milligrams are there in eleven eighths of a gram?"
},
{
"from": "gpt",
"value": "1375"
}
] |
[
{
"from": "human",
"value": "-1 (base 12) to base 16"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let p = 39 + -32. Suppose 0 + 35 = 5*j. Calculate the greatest common divisor of j and p."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 615*q**2*z**3 - q**2*z**2 - 3*q*z**2 + 86 wrt z?"
},
{
"from": "gpt",
"value": "3690*q**2"
}
] |
[
{
"from": "human",
"value": "Let v = -0.1 + 7.1. Let t = v - 7.6. Let w = -0.5 - t. Sort w, -4, -1/6 in decreasing order."
},
{
"from": "gpt",
"value": "w, -1/6, -4"
}
] |
[
{
"from": "human",
"value": "What is 1 times -1?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) -2/139 (b) 0.09 (c) 0.4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the closest to -3/7 in -1/3, -6, 1, 4?"
},
{
"from": "gpt",
"value": "-1/3"
}
] |
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