conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Calculate the remainder when 2696 is divided by 18."
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 20 and 505?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Calculate 203 divided by 6."
},
{
"from": "gpt",
"value": "203/6"
}
] |
[
{
"from": "human",
"value": "Let t = 203 + -1825/9. Which is the second smallest value? (a) -1/12 (b) -3/13 (c) t"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the next term in 16, 16, 8, -14, -56, -124, -224, -362?"
},
{
"from": "gpt",
"value": "-544"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 2510 is divided by 1253."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Work out -30 * -0.71."
},
{
"from": "gpt",
"value": "21.3"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 2 and 42?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose 5*w - 17 + 2 = 0. Suppose 2*s - 11 = -3*a + 1, -2*a = -4*s - 8. Let h = w - s. Solve -2*i = h*i - 2*k + 2, -i + 3*k = 3 for i."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let o(c) = -c**3 - 4*c**2 + 3*c + 9. Calculate o(-4)."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Solve -m**3/2 - 13*m**2/2 - 17*m + 24 = 0 for m."
},
{
"from": "gpt",
"value": "-8, -6, 1"
}
] |
[
{
"from": "human",
"value": "Let l(a) = 16*a**4 - 19*a**3 + 9*a**2 + 4*a + 5. Let m(y) = -y**3 - y - 1. Let k(r) = l(r) + 5*m(r). Factor k(n)."
},
{
"from": "gpt",
"value": "n*(n - 1)*(4*n - 1)**2"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in -21, 0, 17, 4?"
},
{
"from": "gpt",
"value": "-21"
}
] |
[
{
"from": "human",
"value": "Let t = 16 - 10. Suppose 5*x + 2*a = t, a + 18 = 5*x - 3*a. Does 21 divide ((-1)/2)/(x/(-188))?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate 63 divided by 9."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Let x(i) = -i**2 - 11*i - 16. Give x(-11)."
},
{
"from": "gpt",
"value": "-16"
}
] |
[
{
"from": "human",
"value": "Simplify (4*(sqrt(686) - sqrt(14)))/sqrt(7)."
},
{
"from": "gpt",
"value": "24*sqrt(2)"
}
] |
[
{
"from": "human",
"value": "(6/(-21))/((-2)/7)"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let c(s) = -s**2 - 1. Suppose 4*l - 2*j = 0, 2*j = -l - 3*j + 11. Suppose 0*q - q = -l. Let o(m) = -4*m**2 + 0*m + 0*m + m**2 - q. Calculate c(x) - o(x)."
},
{
"from": "gpt",
"value": "2*x**2"
}
] |
[
{
"from": "human",
"value": "What is (-7)/(-14)*0/(-14)?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "((-1)/2)/(27/18)"
},
{
"from": "gpt",
"value": "-1/3"
}
] |
[
{
"from": "human",
"value": "Let c(u) = -220504*u. Suppose 2*p = 5*p - 3. Let x be c(p). Let d = -600504 - x. What is d rounded to the nearest one hundred thousand?"
},
{
"from": "gpt",
"value": "-400000.0"
}
] |
[
{
"from": "human",
"value": "Let u(s) = 6*s**3 - 4*s**2 + 6*s. Let t(j) = j**3 - j**2 + j. Let f(z) = -8*t(z) + u(z). Let d(b) = -b**2. Let c be (-3)/(-2)*(-2)/(-3). Give c*f(h) + 4*d(h)."
},
{
"from": "gpt",
"value": "-2*h**3 - 2*h"
}
] |
[
{
"from": "human",
"value": "Calculate ((-4)/(-4))/(1/5)."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 12:08 AM and 11:27 AM?"
},
{
"from": "gpt",
"value": "679"
}
] |
[
{
"from": "human",
"value": "Let x be ((-138)/15)/(4/(-10)). Suppose 1 = 3*w + 3*u - x, 4*w - 41 = 5*u. List the prime factors of w."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Simplify (1*(-2*sqrt(7)*4 - 1*sqrt(343)))**2."
},
{
"from": "gpt",
"value": "1575"
}
] |
[
{
"from": "human",
"value": "What is the m'th term of -397, -762, -1125, -1486, -1845, -2202?"
},
{
"from": "gpt",
"value": "m**2 - 368*m - 30"
}
] |
[
{
"from": "human",
"value": "Let x(c) = -20*c**4 + 24*c**3 + 16*c**2 + 12*c + 18. Let r(m) = m**4 - m**3 - m**2 - m - 1. Let g(z) = 44*r(z) + 2*x(z). Determine v so that g(v) = 0."
},
{
"from": "gpt",
"value": "-1, 2"
}
] |
[
{
"from": "human",
"value": "What is the q'th term of 260, 281, 320, 383, 476, 605, 776, 995?"
},
{
"from": "gpt",
"value": "q**3 + 3*q**2 + 5*q + 251"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 1609 to the nearest integer?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "6/(-4)*48/18"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 352?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Work out 0.95617 - 4."
},
{
"from": "gpt",
"value": "-3.04383"
}
] |
[
{
"from": "human",
"value": "What is the y'th term of 1112, 1107, 1098, 1085, 1068?"
},
{
"from": "gpt",
"value": "-2*y**2 + y + 1113"
}
] |
[
{
"from": "human",
"value": "Suppose -4*h = -4*p + 4 - 68, 4*p = h - 19. Let j be ((-3)/(-1))/(5/h). Let s = -6 + j. Solve 2*c = -s*c - 5 for c."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(612)*-1*4 + sqrt(612))**2*6 + -4."
},
{
"from": "gpt",
"value": "33044"
}
] |
[
{
"from": "human",
"value": "-187*0.05"
},
{
"from": "gpt",
"value": "-9.35"
}
] |
[
{
"from": "human",
"value": "What is the least common multiple of 558 and 60?"
},
{
"from": "gpt",
"value": "5580"
}
] |
[
{
"from": "human",
"value": "What is (-10)/(-25)*(-2)/((-8)/2)?"
},
{
"from": "gpt",
"value": "1/5"
}
] |
[
{
"from": "human",
"value": "Let h(n) = -n**3 + 4*n**2 - 3*n + 1. Suppose -2*k = -7 + 1. What is the units digit of h(k)?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the s'th term of 214, 392, 568, 742, 914?"
},
{
"from": "gpt",
"value": "-s**2 + 181*s + 34"
}
] |
[
{
"from": "human",
"value": "Solve 3*r + 11 = 4*p, -2*p + 4*r = -5*p + 27 for p."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is 18/(-2)*((-416)/(-39) + -11)?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in -3490, -2, -8?"
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "What is the next term in -6793, -6782, -6759, -6718, -6653?"
},
{
"from": "gpt",
"value": "-6558"
}
] |
[
{
"from": "human",
"value": "What comes next: 39, 45, 53, 63, 75, 89?"
},
{
"from": "gpt",
"value": "105"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -11*g**2*t**2 - 21*g**2*t - 536*g*t**3 - g*t - t wrt t?"
},
{
"from": "gpt",
"value": "-22*g**2 - 3216*g*t"
}
] |
[
{
"from": "human",
"value": "10120 (base 3) to base 16"
},
{
"from": "gpt",
"value": "60"
}
] |
[
{
"from": "human",
"value": "What is the common denominator of 7/3630 and -145/726?"
},
{
"from": "gpt",
"value": "3630"
}
] |
[
{
"from": "human",
"value": "Let o(m) = 9*m - 1. Let h(d) = 3 - 19*d. Let z(l) = -6*h(l) - 13*o(l). Let u be z(-3). Find s such that 3/2*s - 21/2*s**2 + 25/2*s**3 - 9/2*s**u + 1 = 0."
},
{
"from": "gpt",
"value": "-2/9, 1"
}
] |
[
{
"from": "human",
"value": "Is 3 greater than or equal to 3.4604?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 66182."
},
{
"from": "gpt",
"value": "2, 33091"
}
] |
[
{
"from": "human",
"value": "-0.02831*0.3"
},
{
"from": "gpt",
"value": "-0.008493"
}
] |
[
{
"from": "human",
"value": "Is 0 < -16/479?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the seventh root of 15676 to the nearest integer?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "In base 10, what is -801 + 3?"
},
{
"from": "gpt",
"value": "-798"
}
] |
[
{
"from": "human",
"value": "Suppose 0*d - 5*d + 10 = 0. Suppose -d*n + 13 = 5. Suppose -n*x + 12 = -32. What are the prime factors of x?"
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let g = -23 + 24. Let p = 9 + -4. Which is the third biggest value? (a) p (b) 1/2 (c) g"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let z(t) = -t**2 - 9*t. Let q = -2 + -7. Let b be z(q). Suppose 0*l**2 + b - 2/3*l**4 - 1/3*l + l**3 = 0. What is l?"
},
{
"from": "gpt",
"value": "-1/2, 0, 1"
}
] |
[
{
"from": "human",
"value": "What is the value of 1 - -2 - (-3 + -2 - -9)?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -5*i + 4*o - 8, -i - 110*o = -108*o - 4 for i."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let i(x) = x + 11. Let s(c) = 3*c + 2. Let j be s(-3). Let u be i(j). Is u < 4?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose -6*t + 4*t + a + 7 = 0, 4*t = 4*a + 4. Let x(b) = b**2 - 4*b - 5. Let j be x(t). Let s(c) = 9*c. Let z(p) = -4*p. Determine j*z(d) + 3*s(d)."
},
{
"from": "gpt",
"value": "-d"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -2*z**4 + 9*z + 6*z**4 - z wrt z."
},
{
"from": "gpt",
"value": "48*z**2"
}
] |
[
{
"from": "human",
"value": "Suppose -2*s + 6 = 2. Suppose 0 = -s*a + 4*a. Suppose 3*h + 1 - 4 = a. Solve 3*z - 6 + h = 2*j, 3*j - 3*z = 0 for j."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Calculate -5*0.1213."
},
{
"from": "gpt",
"value": "-0.6065"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 5*q**5 + 4*q**4 + 8*q**3 + 4716*q**2 wrt q?"
},
{
"from": "gpt",
"value": "300*q**2 + 96*q + 48"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in 0.3, -3, 8?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is ((-55)/20 + 2)*(7 + -5)?"
},
{
"from": "gpt",
"value": "-3/2"
}
] |
[
{
"from": "human",
"value": "Let z = 1.1 - 1.1. What is the second smallest value in 1, z, 2/3?"
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "Let o be (1 - (-16)/(-6))/((-75)/(-225)). Let d(x) = -171*x**2 + 27*x. Let z(v) = 31*v**2 - 5*v. Determine o*d(j) - 27*z(j)."
},
{
"from": "gpt",
"value": "18*j**2"
}
] |
[
{
"from": "human",
"value": "Simplify (((sqrt(704) - (sqrt(704) - (-1 + sqrt(704))**2)*6) + sqrt(704) + -5*2*sqrt(704))*3 + (sqrt(704) + (2 + sqrt(704))*-5 - (2 + (1 + sqrt(704))**2)))*5."
},
{
"from": "gpt",
"value": "59865 - 3360*sqrt(11)"
}
] |
[
{
"from": "human",
"value": "In base 7, what is 1613463336 + -2?"
},
{
"from": "gpt",
"value": "1613463334"
}
] |
[
{
"from": "human",
"value": "2052 divided by 1026"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose 4*k + i - 3*i - 4 = 0, -k + 15 = 3*i. Suppose -p - 3*p + 24 = 0. Solve -5*j = -k*t - 8, -p*j + 7 = -j - 2*t for j."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 307 is divided by 46."
},
{
"from": "gpt",
"value": "31"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -2*c**2 - c**2 - 47*c**3 - 11*c**2 - 2*c**2 wrt c?"
},
{
"from": "gpt",
"value": "-282"
}
] |
[
{
"from": "human",
"value": "What is next in -5236, -10475, -15714, -20953, -26192?"
},
{
"from": "gpt",
"value": "-31431"
}
] |
[
{
"from": "human",
"value": "Let f = -18 + 33. Suppose 2*l = l + f. Solve 3*u = -4*v + l, 4*u + v - 20 = 4*v for u."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Calculate (1*4/(-3))/(230/(-69))."
},
{
"from": "gpt",
"value": "2/5"
}
] |
[
{
"from": "human",
"value": "What is 13 divided by -24?"
},
{
"from": "gpt",
"value": "-13/24"
}
] |
[
{
"from": "human",
"value": "Let y be 8*(15 - (0 - 1)). Let k = -88 + y. Suppose w = -t + 13 + 19, 4*t + k = 2*w. Is 14 a factor of w?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let g = -0.04 + -0.01. Let n = g + -0.25. What is the closest to -0.2 in -2/5, -1, n?"
},
{
"from": "gpt",
"value": "n"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -2*t**4*z + 6*t**3*z + 317*t**2*z + t - 62*z + 1 wrt t?"
},
{
"from": "gpt",
"value": "-24*t**2*z + 36*t*z + 634*z"
}
] |
[
{
"from": "human",
"value": "Let r = 18 + 2. Solve 0*f = 5*f + r for f."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Sort 5, -2, 27, -3, 16 in descending order."
},
{
"from": "gpt",
"value": "27, 16, 5, -2, -3"
}
] |
[
{
"from": "human",
"value": "Solve -39 = 43*a + 4 for a."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "-15*1/9 + (-48)/36"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the f'th term of -62, -60, -56, -50, -42?"
},
{
"from": "gpt",
"value": "f**2 - f - 62"
}
] |
[
{
"from": "human",
"value": "Is 32173 a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let f = 436 + -18749/43. Which is the second biggest value? (a) f (b) 1/4 (c) 1/3"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let o(w) = -w**3 - 6*w**2 - w - 8. Let n be o(-6). What is the nearest to -1 in n, -5, -1?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let o be ((-27)/15)/(2/(-10)). Let l be (-2)/3 - (-42)/o. Let r(x) = x**3 - 3*x**2 - 4*x - 4. Give r(l)."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let s(y) be the second derivative of -y**7/210 + y**6/30 - y**5/15 - y**2 - y. Let v(a) be the first derivative of s(a). Factor v(h)."
},
{
"from": "gpt",
"value": "-h**2*(h - 2)**2"
}
] |
[
{
"from": "human",
"value": "Let x = -13 - -11. Which is the closest to x? (a) -2 (b) -1/5 (c) -0.1"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the value of (-106)/14 - (32 + -40)?"
},
{
"from": "gpt",
"value": "3/7"
}
] |
[
{
"from": "human",
"value": "Let z = 26 - 23. Solve -18 = -5*k - z for k."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of 1281, 2563, 3845, 5127, 6409, 7691?"
},
{
"from": "gpt",
"value": "1282*w - 1"
}
] |
[
{
"from": "human",
"value": "Let p be 2/(-10)*5*(-4 - -1). Solve p*n + 2 + 7 = 0 for n."
},
{
"from": "gpt",
"value": "-3"
}
] |
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