conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Suppose 3*v = -0*v + 75. What is the derivative of v*a**3 + 2 - 7 - 16*a**3 wrt a?"
},
{
"from": "gpt",
"value": "27*a**2"
}
] |
[
{
"from": "human",
"value": "Solve n + 0*w = -5*w + 17, -3*n = -5*w + 29 for n."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is 101101100101110 (base 2) in base 8?"
},
{
"from": "gpt",
"value": "55456"
}
] |
[
{
"from": "human",
"value": "Let o be (-4 - 0)*3/(-6). Solve 0 = -g - 4*g - 2*y - 5, 0 = -o*g + y - 11 for g."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the product of 0.4 and 36?"
},
{
"from": "gpt",
"value": "14.4"
}
] |
[
{
"from": "human",
"value": "What is the highest common factor of 65 and 4745?"
},
{
"from": "gpt",
"value": "65"
}
] |
[
{
"from": "human",
"value": "Let s = 23 - 20. Let v(r) be the third derivative of 0 - 1/30*r**5 + 2*r**2 + 0*r + 0*r**s + 1/12*r**4. What is the second derivative of v(z) wrt z?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let o(t) = t**3 + t**2 - 12*t + 14. Calculate the remainder when o(5) is divided by 18."
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Expand (110*u**3 + 42*u**4 - 110*u**3)*(3*u - u - u - 4)*(-5 + 0 + 3)."
},
{
"from": "gpt",
"value": "-84*u**5 + 336*u**4"
}
] |
[
{
"from": "human",
"value": "Suppose 3*m = -2*m + 20. Suppose 4*f = -m*h + 24, 0*h = -4*f - 2*h + 22. Let g be (-274)/(-18) + (-26)/117. Solve -n + 0*l = 3*l + f, 5*l = 5*n - g for n."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the difference between 339 and -60?"
},
{
"from": "gpt",
"value": "399"
}
] |
[
{
"from": "human",
"value": "Factor -f**2 - 7*f + 44."
},
{
"from": "gpt",
"value": "-(f - 4)*(f + 11)"
}
] |
[
{
"from": "human",
"value": "Let t(u) = 4 - 2*u. Let c(v) = -4*v + 6 - 1 + 2. Let j = 64 - 71. What is j*t(x) + 4*c(x)?"
},
{
"from": "gpt",
"value": "-2*x"
}
] |
[
{
"from": "human",
"value": "Solve -3*w = 2*u - 7*u - 40, 2*u - w = -15 for u."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is next in -435, -851, -1245, -1611, -1943, -2235, -2481, -2675?"
},
{
"from": "gpt",
"value": "-2811"
}
] |
[
{
"from": "human",
"value": "Let g = 5/53 - -230/371. Which is greater: 1 or g?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of 137/1296 and 73/16."
},
{
"from": "gpt",
"value": "1296"
}
] |
[
{
"from": "human",
"value": "Let s = -22.022 - -0.022. Let w = s + 27. Which is the second smallest value? (a) -2 (b) -4 (c) w"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Factor -o**3/6 + 4*o**2/3 - 7*o/6."
},
{
"from": "gpt",
"value": "-o*(o - 7)*(o - 1)/6"
}
] |
[
{
"from": "human",
"value": "Let k be ((-50)/8)/(-5)*4. Suppose -k*b + b - 4240000 = 0. Round b to the nearest one hundred thousand."
},
{
"from": "gpt",
"value": "-1100000.0"
}
] |
[
{
"from": "human",
"value": "Let l be (-1 + 2)/(3/15). Solve 4*p = -3 - l for p."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -29*b + 50 + 37 for b."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of 62/485889 and 19/41."
},
{
"from": "gpt",
"value": "19921449"
}
] |
[
{
"from": "human",
"value": "Let l = 0 + -4. Let d(x) = -x**3 - 6*x**2 - 3*x + 5. Give d(l)."
},
{
"from": "gpt",
"value": "-15"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(91) + -6*(sqrt(91) + sqrt(91)*-3 - sqrt(91)))/(-6*-2*sqrt(7))."
},
{
"from": "gpt",
"value": "19*sqrt(13)/12"
}
] |
[
{
"from": "human",
"value": "Let y(n) be the second derivative of -n**6/180 - n**5/30 - n**4/12 - n**3/2 + 2*n. Let q(k) be the second derivative of y(k). Suppose q(j) = 0. What is j?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What comes next: -823, -1649, -2475?"
},
{
"from": "gpt",
"value": "-3301"
}
] |
[
{
"from": "human",
"value": "Let t = 10 - 10. Let a(k) be the first derivative of 1 - 2/9*k**3 + t*k + 0*k**2. Let a(f) = 0. What is f?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Factor -j**2/2 - 98*j - 4802."
},
{
"from": "gpt",
"value": "-(j + 98)**2/2"
}
] |
[
{
"from": "human",
"value": "What is the next term in -6363, -6365, -6367?"
},
{
"from": "gpt",
"value": "-6369"
}
] |
[
{
"from": "human",
"value": "((-75)/9)/(-5)*3*-1"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the highest common factor of 270 and 54?"
},
{
"from": "gpt",
"value": "54"
}
] |
[
{
"from": "human",
"value": "Which is the smallest value? (a) -0.6 (b) 2/13 (c) -2 (d) 2 (e) -1"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Multiply 3783936 and -1."
},
{
"from": "gpt",
"value": "-3783936"
}
] |
[
{
"from": "human",
"value": "Let v be (-33)/(-10) - (2 - -1). Let i = 17/90 - v. Let t(p) = -p**3 + 4*p**2 + 4*p + 3. Let r be t(5). What is the second biggest value in -0.3, r, i?"
},
{
"from": "gpt",
"value": "-0.3"
}
] |
[
{
"from": "human",
"value": "What is 3725 to the power of 1/6, to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Rearrange (4*o**2 - 4*o**2 + 2*o**2)*(2 - 3 - 1)*(3*o**2 + 5*o - 5*o) to i*o**2 + f*o**3 + y*o**4 + h + s*o and give y."
},
{
"from": "gpt",
"value": "-12"
}
] |
[
{
"from": "human",
"value": "Simplify ((-3 + sqrt(1584))**2 + (sqrt(11) - -3*sqrt(11))*6)*-6."
},
{
"from": "gpt",
"value": "-9558 + 288*sqrt(11)"
}
] |
[
{
"from": "human",
"value": "Calculate -3*2/(-12)*(-34)/(-17)."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let i(n) be the third derivative of -n**6/60 - n**5/60 - n**4/12 - n**3/6 - n**2. Let h be i(-1). Suppose -5*r - 2*x = 1, 2*r + 0*r = -h*x + 2. Is r < -3?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Determine l, given that 12*l**2 + 208*l/5 = 0."
},
{
"from": "gpt",
"value": "-52/15, 0"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 1:27 PM and 1:16 AM?"
},
{
"from": "gpt",
"value": "709"
}
] |
[
{
"from": "human",
"value": "Let o = -9 + 9.1. Which is the nearest to -2/3? (a) o (b) 1/2 (c) 6"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is -32b6 (base 15) in base 5?"
},
{
"from": "gpt",
"value": "-320441"
}
] |
[
{
"from": "human",
"value": "In base 2, what is 1 + 101101101101?"
},
{
"from": "gpt",
"value": "101101101110"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(2448)*1 - ((-1*sqrt(136))/sqrt(8) + sqrt(17) - sqrt(17)))*-1."
},
{
"from": "gpt",
"value": "-13*sqrt(17)"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -6*k - 495 + 549 for k."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "What is 123939 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "50"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 57 or 53?"
},
{
"from": "gpt",
"value": "53"
}
] |
[
{
"from": "human",
"value": "-4b (base 13) to base 2"
},
{
"from": "gpt",
"value": "-111111"
}
] |
[
{
"from": "human",
"value": "Let s = 8 + -5. Suppose i + a - 16 = -s*i, 2*i + 4*a - 22 = 0. Let u be (1 + -1)/(2 - 3). Solve -2*d = -i*f - u*f + 6, 0 = 2*f + 5*d - 23 for f."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Total of -154756 and 0.07."
},
{
"from": "gpt",
"value": "-154755.93"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 167 is divided by 15?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is 559.1967 millennia in months?"
},
{
"from": "gpt",
"value": "6710360.4"
}
] |
[
{
"from": "human",
"value": "What is the seventh root of 3721380325 to the nearest integer?"
},
{
"from": "gpt",
"value": "23"
}
] |
[
{
"from": "human",
"value": "What is the fourth smallest value in -2/3, 2/11, 1, 2/7, -2?"
},
{
"from": "gpt",
"value": "2/7"
}
] |
[
{
"from": "human",
"value": "Calculate 5*0.005."
},
{
"from": "gpt",
"value": "0.025"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 368*b**4 + 17*b + 11."
},
{
"from": "gpt",
"value": "4416*b**2"
}
] |
[
{
"from": "human",
"value": "Let y be 1*(-11 + 0)*-2. Let j be (-46)/(-11) - 4/22. Suppose -2*x = 5*t - 12 - 7, -y = -j*t - 5*x. Solve -t*b = 1 + 8 for b."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let x(u) = 6*u - 8. Let k be x(6). Suppose 2*q - 102 = -5*j, 0 = -3*j - q + 33 + k. What is the units digit of j?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let j = -4 + 3.95. Let u = -4.35 + 4. Let l = j - u. Which is the third biggest value? (a) l (b) -3 (c) 0.2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let q = -2/697 + 5586/3485. Factor -8/5*b - 2/5*b**3 + 0 + q*b**2."
},
{
"from": "gpt",
"value": "-2*b*(b - 2)**2/5"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 789?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Let w(o) = o - 1 + 1. Let c(z) = z**2 - z. Suppose -5*y + k - 16 = -0*y, 0 = 4*y + 4*k + 8. Give y*w(l) - c(l)."
},
{
"from": "gpt",
"value": "-l**2 - 2*l"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of -167/390 and -119/90."
},
{
"from": "gpt",
"value": "1170"
}
] |
[
{
"from": "human",
"value": "Let p(q) = 6*q**2 + 2*q + 10. Let b(y) = -y**3 - y**2 + 1. Let a(x) = b(x) - p(x). Let s be (-25)/5 + -3 + 1. Let c be a(s). Solve 0 = -c*o + o for o."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 553 to the nearest integer?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Is 8528299 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 29?"
},
{
"from": "gpt",
"value": "29"
}
] |
[
{
"from": "human",
"value": "Solve -27*w = 56 - 83 for w."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What comes next: -41, -60, -61, -38, 15, 104, 235, 414?"
},
{
"from": "gpt",
"value": "647"
}
] |
[
{
"from": "human",
"value": "Let o(s) = -s**2 + 7*s - 4. Let d be o(6). Let m(z) = z**3 + z**2 + z + 1. Suppose v - 5*f + 20 = 0, 4*v - 4 = -f - 0. Let r be m(v). Solve r = -u - d for u."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let a be -2*(1/(-2) + -1). Let m(k) = -3 + a*k + 0 + 7*k - 6. Is m(10) a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose h + 23 = 5*m, h + 2 = 2*m - 6. Let z(n) = 2*n**3 - n**2 + n - 1. Let b be z(1). Suppose j = b + 2. What is the remainder when m is divided by j?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Put together 3.64 and 0.0333."
},
{
"from": "gpt",
"value": "3.6733"
}
] |
[
{
"from": "human",
"value": "Simplify 3 + -1*sqrt(2) - (sqrt(2) + sqrt(6)/(sqrt(3)*-3 + sqrt(3)))."
},
{
"from": "gpt",
"value": "3 - 3*sqrt(2)/2"
}
] |
[
{
"from": "human",
"value": "What is -4 - -8 - (-2 + 1)?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Solve 5 = -5*n, -5 - 2 = -4*b + 7*n for b."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the tenth root of 118628 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let t(v) = -8*v**2 + 12*v - 1. Let d(w) = 7*w**2 - 11*w. Let i(a) = -7*d(a) - 6*t(a). Let s be i(5). Solve -3*m - 3*z - s = 0, 3 = 2*z - z for m."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let y = -0.87 + 0.67. Sort -0.5, -3/2, y in increasing order."
},
{
"from": "gpt",
"value": "-3/2, -0.5, y"
}
] |
[
{
"from": "human",
"value": "Solve -124 = -6*k - 136 for k."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is next in 3224, 6451, 9678, 12905, 16132, 19359?"
},
{
"from": "gpt",
"value": "22586"
}
] |
[
{
"from": "human",
"value": "Let q(x) = x**3 + 6*x**2 + 9*x + 6. Let g be q(-4). Solve i + 6 = -0*i - g*m, 4*i = -3*m + 1 for i."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 1010 (base 2) in base 15?"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the next term in 11, 46, 103, 182, 283, 406, 551?"
},
{
"from": "gpt",
"value": "718"
}
] |
[
{
"from": "human",
"value": "Let p(o) = -3*o**2 - 25*o + 9. Let z(m) = 2 + 6*m + 0*m**2 + 2 + m**2 - 6. Let v(j) = 2*p(j) + 9*z(j). Let b(s) = -5*s**2 - 6*s. Calculate 5*b(x) + 8*v(x)."
},
{
"from": "gpt",
"value": "-x**2 + 2*x"
}
] |
[
{
"from": "human",
"value": "Let b(l) be the second derivative of l**5/45 - l**4/54 - l**3/27 - 11*l. Factor b(j)."
},
{
"from": "gpt",
"value": "2*j*(j - 1)*(2*j + 1)/9"
}
] |
[
{
"from": "human",
"value": "Is 10 != 120/13?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 10:24 AM and 3:33 PM?"
},
{
"from": "gpt",
"value": "309"
}
] |
[
{
"from": "human",
"value": "Solve 4*p = -6*g + 4 + 26, -15 = 2*g - 4*g + g - 4*p for g."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 0.7? (a) -5 (b) -1 (c) 5 (d) 1"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Evaluate -2*60/168*8/20."
},
{
"from": "gpt",
"value": "-2/7"
}
] |
[
{
"from": "human",
"value": "What is -60.5659 rounded to one dp?"
},
{
"from": "gpt",
"value": "-60.6"
}
] |
[
{
"from": "human",
"value": "What is the derivative of -909*g*s**2 + 719*s**2 wrt g?"
},
{
"from": "gpt",
"value": "-909*s**2"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in -4, 194, -3/2?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of 78*r**2 + 3*r - 8052 wrt r."
},
{
"from": "gpt",
"value": "156*r + 3"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of 73, 23, -17, -41, -43, -17, 43, 143?"
},
{
"from": "gpt",
"value": "w**3 - w**2 - 54*w + 127"
}
] |
[
{
"from": "human",
"value": "Let y be (-311)/(-3)*117 + (1 - 1). Suppose -3*s = 10*s - y. List the prime factors of s."
},
{
"from": "gpt",
"value": "3, 311"
}
] |
[
{
"from": "human",
"value": "Solve 1 = -68*r + 137 for r."
},
{
"from": "gpt",
"value": "2"
}
] |
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