conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Differentiate 6536*n**4 - 3184."
},
{
"from": "gpt",
"value": "26144*n**3"
}
] |
[
{
"from": "human",
"value": "What is the k'th term of -59, -32, -3, 28, 61, 96, 133?"
},
{
"from": "gpt",
"value": "k**2 + 24*k - 84"
}
] |
[
{
"from": "human",
"value": "987/(-235) - (-7 - -3)"
},
{
"from": "gpt",
"value": "-1/5"
}
] |
[
{
"from": "human",
"value": "Rearrange -5*h**2 + 2 + h + 22*h**3 + 2*h**4 + 5*h**2 - 21*h**3 to n*h**2 + r*h**4 + y*h + w*h**3 + v and give w."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose -5*v - 22 = -5*r + 4*r, -6 = 3*v. Calculate the remainder when 82 is divided by r."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "What is the derivative of 28*q**2*v**2 + 29896*q**2 + 261*q*v**2 wrt v?"
},
{
"from": "gpt",
"value": "56*q**2*v + 522*q*v"
}
] |
[
{
"from": "human",
"value": "What is 4 times -0.4423?"
},
{
"from": "gpt",
"value": "-1.7692"
}
] |
[
{
"from": "human",
"value": "What is the q'th term of 9, 64, 123, 186, 253?"
},
{
"from": "gpt",
"value": "2*q**2 + 49*q - 42"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 4184 is divided by 53?"
},
{
"from": "gpt",
"value": "50"
}
] |
[
{
"from": "human",
"value": "Which is bigger: -4023 or -4020?"
},
{
"from": "gpt",
"value": "-4020"
}
] |
[
{
"from": "human",
"value": "What is the value of 19/((-228)/(-27)) + (-1)/4?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose -264 = -4*u - 4*a, u - a = a + 51. Suppose -b - f = 3*f - 26, 5*b + 5*f - 130 = 0. Let o = u - b. Is o prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What comes next: 44, 60, 76, 92?"
},
{
"from": "gpt",
"value": "108"
}
] |
[
{
"from": "human",
"value": "What is next in 98, 127, 134, 107, 34, -97?"
},
{
"from": "gpt",
"value": "-298"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 161 is divided by 21?"
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Simplify -3*sqrt(567)*2."
},
{
"from": "gpt",
"value": "-54*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 16*g*t**2 + 18*g*t + 2*g - 2*t**3 - 4*t**2 wrt t?"
},
{
"from": "gpt",
"value": "32*g - 12*t - 8"
}
] |
[
{
"from": "human",
"value": "Suppose -5*t + 2*g = 5003, 5*t + 3*g - 843 = -5801. Sort t, 1, 5 in ascending order."
},
{
"from": "gpt",
"value": "t, 1, 5"
}
] |
[
{
"from": "human",
"value": "Suppose 25*r - 2705 = 20*r. Is r composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -2? (a) -2/3 (b) 3/4 (c) -2 (d) -6"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let t be 2 + 1 - (0 - -1). Suppose 47 = t*x + 13. Let i be ((-12)/8)/(1/(-2)). Solve 17 = 4*q + k, i*q + 8*k - x = 3*k for q."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Solve -k - 7 = x, -2*k - 2*x = -5*x + 4 for k."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Is 656923 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Factor 5*c**2 + 25*c - 30."
},
{
"from": "gpt",
"value": "5*(c - 1)*(c + 6)"
}
] |
[
{
"from": "human",
"value": "Let s be (-44)/(-6) - 8/(-12). Let q = s + -3. Let o(m) = m**3 + 3*m**2 - 3*m - 1. Let h be o(-4). Put q, h, 1 in decreasing order."
},
{
"from": "gpt",
"value": "q, 1, h"
}
] |
[
{
"from": "human",
"value": "Suppose 12*b - 8*b = 0. Let d(i) be the first derivative of -3/5*i**5 + b*i + 0*i**4 + 2/3*i**3 + 1 + 0*i**2. Find the third derivative of d(u) wrt u."
},
{
"from": "gpt",
"value": "-72*u"
}
] |
[
{
"from": "human",
"value": "-4 divided by -241"
},
{
"from": "gpt",
"value": "4/241"
}
] |
[
{
"from": "human",
"value": "What is the value of 12 - 11 - (5 - (0 - -1))?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 20*a**3 + 53*a**2 - 53*a**2."
},
{
"from": "gpt",
"value": "20*a**3"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of 205, 407, 609, 811, 1013, 1215?"
},
{
"from": "gpt",
"value": "202*u + 3"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common factor of 5050 and 1111."
},
{
"from": "gpt",
"value": "101"
}
] |
[
{
"from": "human",
"value": "Divide 1000 by 4."
},
{
"from": "gpt",
"value": "250"
}
] |
[
{
"from": "human",
"value": "Let d = 28 + 10. Suppose f - d = -x, -15 - 8 = -x + 2*f. Is x composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Calculate the lowest common multiple of 20175991 and 46."
},
{
"from": "gpt",
"value": "40351982"
}
] |
[
{
"from": "human",
"value": "What is -1 divided by -155?"
},
{
"from": "gpt",
"value": "1/155"
}
] |
[
{
"from": "human",
"value": "Solve -3*z**3 - 117*z**2 - 1197*z - 1083 = 0."
},
{
"from": "gpt",
"value": "-19, -1"
}
] |
[
{
"from": "human",
"value": "Put 0.6, -0.5, 0.06, -4 in decreasing order."
},
{
"from": "gpt",
"value": "0.6, 0.06, -0.5, -4"
}
] |
[
{
"from": "human",
"value": "What is the closest to 0 in -1/3, 2/29, 0.06?"
},
{
"from": "gpt",
"value": "0.06"
}
] |
[
{
"from": "human",
"value": "Let o = -1 - -5. Let l = o - 0. Suppose 0 = -t + 12 + l. Calculate the remainder when 46 is divided by t."
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Let a be (8/10)/(4/90). Let l be 8/6 - a/(-27). Suppose -2*n + 3*y - 3 = -21, n + l*y + 5 = 0. Solve -3*j - 4*s = -n*s - 3, j - s + 3 = 0 for j."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let d(l) = 11*l**3 + 7*l**2 - 9*l + 6. Let u(t) = -7*t**3 - 5*t**2 + 6*t - 4. Let s(h) = -5*d(h) - 7*u(h). Let v be s(2). Let w = v - -63. Does 19 divide w?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose -i**5/4 + 11*i**4/4 - 47*i**3/4 + 97*i**2/4 - 24*i + 9 = 0. Calculate i."
},
{
"from": "gpt",
"value": "1, 2, 3"
}
] |
[
{
"from": "human",
"value": "What is -1332 divided by -148?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "What is -6 plus 31.425?"
},
{
"from": "gpt",
"value": "25.425"
}
] |
[
{
"from": "human",
"value": "What is the next term in 24, 74, 144, 234?"
},
{
"from": "gpt",
"value": "344"
}
] |
[
{
"from": "human",
"value": "Solve 3*q + 12 = 0, 272 - 245 = -3*w - 3*q for w."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is 988 take away -1413?"
},
{
"from": "gpt",
"value": "2401"
}
] |
[
{
"from": "human",
"value": "Solve 10 = 9*x - 14*x for x."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 675 minutes after 8:27 AM?"
},
{
"from": "gpt",
"value": "7:42 PM"
}
] |
[
{
"from": "human",
"value": "Let q(h) = 344*h**2. Let w(d) = 2*d**2. What is w(q(c))?"
},
{
"from": "gpt",
"value": "236672*c**4"
}
] |
[
{
"from": "human",
"value": "Let y(k) be the second derivative of 0*k**3 + 0*k**4 + 5*k + 3/2*k**2 + 3/20*k**5 + 0. Find the first derivative of y(v) wrt v."
},
{
"from": "gpt",
"value": "9*v**2"
}
] |
[
{
"from": "human",
"value": "Calculate -1.3*0.024."
},
{
"from": "gpt",
"value": "-0.0312"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 8:12 AM and 3:13 PM?"
},
{
"from": "gpt",
"value": "421"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(60)/sqrt(5) + 1."
},
{
"from": "gpt",
"value": "1 + 2*sqrt(3)"
}
] |
[
{
"from": "human",
"value": "Suppose -u + s = 3, -3*u + 31 = 5*s + 8. Let h be (u + -2)/(6/(-12)). Solve -3*y - 4 = -h*y for y."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let o = 7.7 - 6.7. Which is the third smallest value? (a) o (b) -2 (c) 3/4"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Factor -500*t**4 - 1700*t**3 + 1155*t**2 - 180*t."
},
{
"from": "gpt",
"value": "-5*t*(t + 4)*(10*t - 3)**2"
}
] |
[
{
"from": "human",
"value": "Let p(d) = 2 - d. Let c be p(-16). Suppose 0 = 3*h - 3*l - 0 - c, -3*h - 5*l - 22 = 0. What is the highest common divisor of 4 and h?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let b(g) = -1127*g**3 + g**2 - g - 1. Let s be b(-1). Suppose -3*k - 3*p = -s, -3*k - 2*p - 132 = -1257. Is k a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Calculate -23 + -30."
},
{
"from": "gpt",
"value": "-53"
}
] |
[
{
"from": "human",
"value": "1 + (-2 - (-1 + 2))"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let d = -1 + 4. Differentiate -i**4 - d + i**4 - 1 - 2*i**4 with respect to i."
},
{
"from": "gpt",
"value": "-8*i**3"
}
] |
[
{
"from": "human",
"value": "What is the closest to 1 in -0.5, -0.4, -3/5, 18/77?"
},
{
"from": "gpt",
"value": "18/77"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 28823 to the nearest integer?"
},
{
"from": "gpt",
"value": "31"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 5078 is divided by 10?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "-397 - -2"
},
{
"from": "gpt",
"value": "-395"
}
] |
[
{
"from": "human",
"value": "Let u be 2 + (-2 - -3) + -5. Let g be (-10)/6 - u/3. Is 4/(0/g - -2) even?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let d be (0 + 3)*5/15. Suppose 7 = n + 3. Put d, n, 3 in ascending order."
},
{
"from": "gpt",
"value": "d, 3, n"
}
] |
[
{
"from": "human",
"value": "Multiply -0.06 and 22."
},
{
"from": "gpt",
"value": "-1.32"
}
] |
[
{
"from": "human",
"value": "Solve 1 = -5*c - 3*u, -3*u - 11 = 63*c - 68*c for c."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let m = -0.12 + -4.88. Let x = 14.5 + -14. Which is the closest to -2/9? (a) 0.1 (b) m (c) x"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 955 is divided by 65?"
},
{
"from": "gpt",
"value": "45"
}
] |
[
{
"from": "human",
"value": "Suppose -260 = 2*x - 7*x. Let y = x - 34. What is the units digit of y?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Let a(i) = 2 - i. Let k be a(5). Let m(d) = -67*d - 4291. Let v be m(-64). Is k != v?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose -45 + 12 = -3*g. Suppose -2*w - 2*x + g = 1, -x + 1 = -3*w. Let k = 3 + w. What is k rounded to zero dps?"
},
{
"from": "gpt",
"value": "4.0"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 3*c*z**5 + c*z + 3*c + 603*z**4 - z**3 - 603*z wrt z."
},
{
"from": "gpt",
"value": "60*c*z**3 + 7236*z**2 - 6*z"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(160)/sqrt(2))**2 + 2."
},
{
"from": "gpt",
"value": "82"
}
] |
[
{
"from": "human",
"value": "Suppose -25 = 3*x - 97. Let j be 25/2*x/30. Solve 0 = m - 3*m + j for m."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Simplify (((sqrt(19) + sqrt(38)/sqrt(32) - sqrt(19)) + sqrt(475) + -2)*-2 + 3*(sqrt(1900) - (sqrt(1900) + 3 + sqrt(1900) + 5)))**2."
},
{
"from": "gpt",
"value": "1620*sqrt(19) + 126259/4"
}
] |
[
{
"from": "human",
"value": "What is next in -225, -217, -207, -195, -181?"
},
{
"from": "gpt",
"value": "-165"
}
] |
[
{
"from": "human",
"value": "1159 - -1"
},
{
"from": "gpt",
"value": "1160"
}
] |
[
{
"from": "human",
"value": "Let v(s) = 1. Let c(r) = 1 + r**2 + 4*r**2 - 6*r**2. Let w(q) = 3*c(q) - 3*v(q). Let t(d) be the third derivative of d**4/24 + 2*d**2. Calculate t(w(j))."
},
{
"from": "gpt",
"value": "-3*j**2"
}
] |
[
{
"from": "human",
"value": "Let c(v) = v**2 - v. Let t(i) = 6*i**3 - 4*i**2 + 3*i. Let l(n) = 4*c(n) + t(n). Let q be l(1). Solve -q*g + 3 + 2 = 0 for g."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 10*a**4 - 103*a**3 - 3*a**2 - 709*a."
},
{
"from": "gpt",
"value": "240*a - 618"
}
] |
[
{
"from": "human",
"value": "Is -2/7 at least as big as -15/31?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let c(k) = 14*k**2. Let u(d) = -5*d**2 + 4*d + 4. Let t(j) = -j**2 + j + 1. Let v(l) = 4*t(l) - u(l). Calculate v(c(r))."
},
{
"from": "gpt",
"value": "196*r**4"
}
] |
[
{
"from": "human",
"value": "Let f be (3 - 2)/((-1)/2). Let a be (-80)/f + 2 + 0. Suppose -a = -2*x + 176. Is x prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let y = 10 - 5. Which is the closest to -1? (a) y (b) 0 (c) 2/7"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Sort 4, 0, -2, -4, -3 in descending order."
},
{
"from": "gpt",
"value": "4, 0, -2, -3, -4"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 2:54 AM and 5:33 AM?"
},
{
"from": "gpt",
"value": "159"
}
] |
[
{
"from": "human",
"value": "Sort -47, 0, 1 in increasing order."
},
{
"from": "gpt",
"value": "-47, 0, 1"
}
] |
[
{
"from": "human",
"value": "Solve -4*q = 3*s + 6, -11*q = s - 15*q + 2 for s."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 11*h + 27*h**2 - 25*h**2 + 43 + 2*h."
},
{
"from": "gpt",
"value": "2*h**2 + 13*h + 43"
}
] |
[
{
"from": "human",
"value": "Does 133 divide 133275?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let i(k) = -k**3 - 8*k**2 + k + 12. Let o be i(-8). Solve 0 = 2*d + 2 + o for d."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let w be (14/35)/((-1)/(-10)). Put 0.4, w, 0.1 in descending order."
},
{
"from": "gpt",
"value": "w, 0.4, 0.1"
}
] |
[
{
"from": "human",
"value": "(-9)/126*-7*-10"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Simplify (-2 + (3 + sqrt(108))*-2)**2."
},
{
"from": "gpt",
"value": "192*sqrt(3) + 496"
}
] |
[
{
"from": "human",
"value": "What is nine tenths of a millennium in years?"
},
{
"from": "gpt",
"value": "900"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -10010 + -10?"
},
{
"from": "gpt",
"value": "-10100"
}
] |
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