conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Let m(i) = -8*i + 4*i**2 - 4*i**2 + 4*i**2 - 15 + 0*i**2 - 2*i**3 + 3*i**3. Give m(-5)."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 1? (a) 2 (b) 5 (c) 2/5 (d) 53"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common factor of 1464 and 84."
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "2 * 3"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 21*b - 17*b - 13*b for b."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let q(j) = 3*j**2 + 14*j + 8. Calculate the remainder when 127 is divided by q(-6)."
},
{
"from": "gpt",
"value": "31"
}
] |
[
{
"from": "human",
"value": "What comes next: 33, 75, 115, 153?"
},
{
"from": "gpt",
"value": "189"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 7:04 AM and 5:11 PM?"
},
{
"from": "gpt",
"value": "607"
}
] |
[
{
"from": "human",
"value": "Is 46 a factor of 2116?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Do 0 and 125 have the same value?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is -0.5 times 179?"
},
{
"from": "gpt",
"value": "-89.5"
}
] |
[
{
"from": "human",
"value": "What is next in 193, 190, 187?"
},
{
"from": "gpt",
"value": "184"
}
] |
[
{
"from": "human",
"value": "In base 12, what is 4 + 2869?"
},
{
"from": "gpt",
"value": "2871"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -3 + -1?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "-0.4*-0.66"
},
{
"from": "gpt",
"value": "0.264"
}
] |
[
{
"from": "human",
"value": "Let f = -0.13 + -0.17. Let j = -0.1 - -0.1. Let n = j + f. Which is the second biggest value? (a) n (b) 0.1 (c) 4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 55."
},
{
"from": "gpt",
"value": "5, 11"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of 16, -7, -46, -107, -196, -319, -482, -691?"
},
{
"from": "gpt",
"value": "-w**3 - 2*w**2 - 10*w + 29"
}
] |
[
{
"from": "human",
"value": "Solve 35*p + 91 = -49 for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let d be 133357/(-168)*(2 + -1). Let x = 2366/3 + d. Let c = -1691/84 - -152/7. Find the common denominator of x and c."
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "Let x be ((-45)/(-60))/(210/4). Let u(j) be the second derivative of 1/21*j**4 - 1/21*j**3 - 2/7*j**2 - 3*j + 0 + x*j**5. Suppose u(c) = 0. What is c?"
},
{
"from": "gpt",
"value": "-2, -1, 1"
}
] |
[
{
"from": "human",
"value": "What is the a'th term of 711, 1421, 2131, 2841, 3551, 4261?"
},
{
"from": "gpt",
"value": "710*a + 1"
}
] |
[
{
"from": "human",
"value": "Let f be -2 - 0/(-1) - -4. Suppose 9 = 3*t - z, 3*z + 2*z = -3*t - 9. Solve 0 = -3*k + 5*p - 10, f = t*k - p - 3 for k."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 45? (a) 0.5 (b) 2/9 (c) 3/4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Which is greater: 1 or 1/177?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose 5*b**3 + 30*b**2 + 60*b + 40 = 0. What is b?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let b(a) = -a**2 - 12*a + 1. Let j be b(-7). What is the highest common divisor of j and 24?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Solve -8*d - 4*d + 48 = 0 for d."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) -0.1 (b) -1 (c) -93"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose -3*d + 35 = 8. Let b be 1/(9/6)*d. Solve -5 = -b*a + a for a."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the n'th term of -10, -22, -30, -34?"
},
{
"from": "gpt",
"value": "2*n**2 - 18*n + 6"
}
] |
[
{
"from": "human",
"value": "How many milligrams are there in 8683.801 kilograms?"
},
{
"from": "gpt",
"value": "8683801000"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 77980?"
},
{
"from": "gpt",
"value": "2, 5, 7, 557"
}
] |
[
{
"from": "human",
"value": "What comes next: -988, -989, -990, -991, -992, -993?"
},
{
"from": "gpt",
"value": "-994"
}
] |
[
{
"from": "human",
"value": "0.45*0.5"
},
{
"from": "gpt",
"value": "0.225"
}
] |
[
{
"from": "human",
"value": "What is 4/((-4)/((-8)/2))?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 5:53 AM and 1:17 PM?"
},
{
"from": "gpt",
"value": "444"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 53788?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Suppose 26 = 2*t - 310. Calculate the highest common divisor of t and 21."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "Let u(l) = 8 - l. Let m(f) = f**2 + 3*f - 3. Let v be m(-5). Let i be u(v). Which is the closest to i? (a) 2 (b) -4/7 (c) 4"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let c = -9 + 17. Let i = 6 - 14. What is the lowest common multiple of i/(-48) + 71/6 and c?"
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "How many millimeters are there in 74/5 of a meter?"
},
{
"from": "gpt",
"value": "14800"
}
] |
[
{
"from": "human",
"value": "Let l(d) = 3 - 3*d. Let q(n) = 1. Calculate -l(i) + 5*q(i)."
},
{
"from": "gpt",
"value": "3*i + 2"
}
] |
[
{
"from": "human",
"value": "Let p = -8 - -4. Let y be 14/6 + p/12. Suppose -4 = -0*m - y*m. Is 3 bigger than m?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose -3*a = 0, -228 = -2*x - x + 3*a. Let u(v) = -25*v**3 + v**2. Calculate the remainder when x is divided by u(-1)."
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "Simplify (s**(2/19)/s)/s**(1/5)*s**11/(s/(s*(s*s*(s*s**2)/s*s)/s*s)) assuming s is positive."
},
{
"from": "gpt",
"value": "s**(1416/95)"
}
] |
[
{
"from": "human",
"value": "Factor 2/15*p**4 - 2/15*p**2 + 2/15*p**5 + 0 - 2/15*p**3 + 0*p."
},
{
"from": "gpt",
"value": "2*p**2*(p - 1)*(p + 1)**2/15"
}
] |
[
{
"from": "human",
"value": "Solve 6*c - 11*c + 2*b = -29, -b = 5*c - 23 for c."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "-7 times 1"
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 0 or 46/33?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let x be (0/1)/((-2)/1). Solve x = 2*l + f + 8, 1 - 7 = l + f for l."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let d = 0 + 7. Let v = -10 + d. Let t = -0.2 - -0.4. Which is greater: t or v?"
},
{
"from": "gpt",
"value": "t"
}
] |
[
{
"from": "human",
"value": "Product of -0.11 and -25."
},
{
"from": "gpt",
"value": "2.75"
}
] |
[
{
"from": "human",
"value": "Factor -2*j**3/11 + 52*j**2/11 - 50*j/11."
},
{
"from": "gpt",
"value": "-2*j*(j - 25)*(j - 1)/11"
}
] |
[
{
"from": "human",
"value": "-1 - 5 - (176 + -180)"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve -3*d - 2*x = -5 + 25, -x = 5*d + 24 for d."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the common denominator of (-10)/(-12)*141/(-10) and 18/7?"
},
{
"from": "gpt",
"value": "28"
}
] |
[
{
"from": "human",
"value": "Let q(t) = 3*t**2 + 2*t + 1. Let w be ((-6)/(-4))/(15/20). Let g be q(w). Let l = g + -17. Solve 5*m + 4*c + 10 = l, 7*m = 2*m - 3*c - 10 for m."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 9591 to the power of 1/5, to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let s(u) be the first derivative of -u**3/9 + 5*u**2/6 - 2*u - 12. Factor s(m)."
},
{
"from": "gpt",
"value": "-(m - 3)*(m - 2)/3"
}
] |
[
{
"from": "human",
"value": "What is (-1 + 0 - -1) + (226 - 230)?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "10+379"
},
{
"from": "gpt",
"value": "389"
}
] |
[
{
"from": "human",
"value": "What is the value of (-75)/(-45)*(-24)/20?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let i = -10 + 13. Solve 0*o + o - 22 = -5*y, i*y - 9 = -2*o for y."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is -3066 divided by -1?"
},
{
"from": "gpt",
"value": "3066"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 4:24 PM and 11:49 PM?"
},
{
"from": "gpt",
"value": "445"
}
] |
[
{
"from": "human",
"value": "Simplify ((y*(y**3*y)/y*y)/y*y*y/(((y**(-3/2)*y)/y)/y*y*y)*y)/(y/(y**1/y))**(-5) assuming y is positive."
},
{
"from": "gpt",
"value": "y**(25/2)"
}
] |
[
{
"from": "human",
"value": "Evaluate -2 + -8 + 5 + 0."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve -4*q + 8 = 4*v - 8*v, -v - 2*q = -1 for v."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Solve 3*k + 0 = 2*v + 8, 20 = -5*v - 3*k for v."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the i'th term of 4245, 4244, 4233, 4206, 4157, 4080, 3969?"
},
{
"from": "gpt",
"value": "-i**3 + i**2 + 3*i + 4242"
}
] |
[
{
"from": "human",
"value": "(-10)/(-4)*354/3245"
},
{
"from": "gpt",
"value": "3/11"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) -4/3 (b) 2/9 (c) 36"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the value of (-75)/(-45)*(-24)/20?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Suppose 6*x - x - 40 = 0. Let q = x - -1. Suppose -4*t + 9 = 3*v, 3*t = 7*t - 5*v + 15. Solve -4*w + w - q = t for w."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "2326526 (base 9) to base 12"
},
{
"from": "gpt",
"value": "507b96"
}
] |
[
{
"from": "human",
"value": "Let d(l) be the second derivative of -l**6/120 + l**5/60 - l**4/3 + 6*l. Let t(m) be the third derivative of d(m). Find the first derivative of t(h) wrt h."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Let o(p) = p**2 + 8*p + 6. Suppose -2*j - 4 - 2 = 4*u, 3*u = 5*j + 28. Let x be o(j). Let q be (5 + x)/((-2)/1). Solve -3*h - q = 4 for h."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Convert 190897.9 litres to millilitres."
},
{
"from": "gpt",
"value": "190897900"
}
] |
[
{
"from": "human",
"value": "Suppose 4*c - 8 = w - 4*w, 0 = -c + 5*w - 21. Let p = -32 - -34. What is the nearest to c in -0.3, p, -2/7?"
},
{
"from": "gpt",
"value": "-0.3"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 11*f*p**2 + 4*f - 3*p**2 - 50*p wrt p."
},
{
"from": "gpt",
"value": "22*f - 6"
}
] |
[
{
"from": "human",
"value": "What is the value of (-2 - -16) + -77 + 71 + 5 + (-3 - 7)?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 11 in -4, -0.4, -1?"
},
{
"from": "gpt",
"value": "-0.4"
}
] |
[
{
"from": "human",
"value": "Multiply 4 and 1."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 1/4 (b) 7 (c) 0 (d) 5"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Add -3 and 378."
},
{
"from": "gpt",
"value": "375"
}
] |
[
{
"from": "human",
"value": "Let u(r) be the third derivative of r**6/280 - r**5/60 + 5*r**4/168 - r**3/42 + 6*r**2. What is i in u(i) = 0?"
},
{
"from": "gpt",
"value": "1/3, 1"
}
] |
[
{
"from": "human",
"value": "Let q(h) be the third derivative of h**6/300 - h**5/75 + h**4/60 - 3*h**2. Solve q(x) = 0."
},
{
"from": "gpt",
"value": "0, 1"
}
] |
[
{
"from": "human",
"value": "What is 2388 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "49"
}
] |
[
{
"from": "human",
"value": "Suppose -18 = 5*f + 42. Let d be 18/f*16/(-3). Let a(s) = s - 5. Let r be a(d). Solve r*p - 2 + 14 = 0 for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let i = -73 + 73. Let q(c) be the second derivative of 0*c**2 + i + 1/15*c**4 + 1/50*c**5 + c + 1/15*c**3. Find y, given that q(y) = 0."
},
{
"from": "gpt",
"value": "-1, 0"
}
] |
[
{
"from": "human",
"value": "What is the n'th term of -175, -186, -209, -250, -315, -410?"
},
{
"from": "gpt",
"value": "-n**3 - 4*n - 170"
}
] |
[
{
"from": "human",
"value": "Evaluate -12 + 17 + 1 + -3 + 0."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 34206 to the nearest integer?"
},
{
"from": "gpt",
"value": "32"
}
] |
[
{
"from": "human",
"value": "What is 6505 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Simplify m**7/m**(-12) assuming m is positive."
},
{
"from": "gpt",
"value": "m**19"
}
] |
[
{
"from": "human",
"value": "What is 9724.858 weeks in seconds?"
},
{
"from": "gpt",
"value": "5881594118.4"
}
] |
[
{
"from": "human",
"value": "What is the g'th term of 22, 44, 102, 214, 398, 672, 1054?"
},
{
"from": "gpt",
"value": "3*g**3 + g + 18"
}
] |
[
{
"from": "human",
"value": "Solve -13*h - 6 = -15*h for h."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let z(q) = 4*q. Let u(t) = 94*t + 1. Give u(z(c))."
},
{
"from": "gpt",
"value": "376*c + 1"
}
] |
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