conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "What is the nearest to -1 in 3, -1.9, 2, 1/46?"
},
{
"from": "gpt",
"value": "-1.9"
}
] |
[
{
"from": "human",
"value": "Let v(m) be the first derivative of m**3/3 - 7*m**2/2 + 2*m + 1. Let l be v(6). Let i be 15/(-38) - 2/l. What is the smallest value in i, -5, 0.3?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Suppose -144 = -7*d + d. What are the prime factors of d?"
},
{
"from": "gpt",
"value": "2, 3"
}
] |
[
{
"from": "human",
"value": "Factor -12*l**2/5 - 694*l/5 + 1264."
},
{
"from": "gpt",
"value": "-2*(l - 8)*(6*l + 395)/5"
}
] |
[
{
"from": "human",
"value": "-6 - (-11 + 2 - -11)"
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "Solve 4*y - 11 - 13 = -j, -5*j - 3*y + 35 = 0 for j."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 6665 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "-0.188 - 0.073"
},
{
"from": "gpt",
"value": "-0.261"
}
] |
[
{
"from": "human",
"value": "Let c = -0.3 - 0. Let m = 2/61 - -145/1159. Let d = m - -13/38. Put 5/3, d, c in increasing order."
},
{
"from": "gpt",
"value": "c, d, 5/3"
}
] |
[
{
"from": "human",
"value": "Let b = 0.3 - 0.2. Let m = -17 - -18.2. Let w = m - 1.1. What is the closest to b in -3, w, 0?"
},
{
"from": "gpt",
"value": "w"
}
] |
[
{
"from": "human",
"value": "Let h(m) = 4*m**2 - m - 10. What is the least common multiple of h(4) and 55?"
},
{
"from": "gpt",
"value": "550"
}
] |
[
{
"from": "human",
"value": "Expand 2*x - 7*x + 2*x - 1 + 1 + 4*x + (4 + x - 4)*(1 - 6 + 3)."
},
{
"from": "gpt",
"value": "-x"
}
] |
[
{
"from": "human",
"value": "What is -1.3744 rounded to 2 dps?"
},
{
"from": "gpt",
"value": "-1.37"
}
] |
[
{
"from": "human",
"value": "Divide 7040 by 160."
},
{
"from": "gpt",
"value": "44"
}
] |
[
{
"from": "human",
"value": "Let r(q) = q**2 + 5*q + 3. Let u be r(-5). Solve -u*f = 2 + 7 for f."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Evaluate -5 + -2 + 4 - (1 + -2)."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the difference between 0.2 and 160411?"
},
{
"from": "gpt",
"value": "160410.8"
}
] |
[
{
"from": "human",
"value": "Suppose 11*g - 44 = -0*g. Solve -m = -0*m + g for m."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let w = 13 + -17. What is the second smallest value in -2, w, -2/17?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let b(m) = -m**3 + 9*m**2 - 4*m + 2. Let w be b(6). Suppose 2*u - 144 = -4*l, -3*u + w = -l - 95. Is u a multiple of 21?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let c = 16 + -11. Solve c*u - 3*u = 2 for u."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the sixth root of 40956 to the nearest integer?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Put together -647 and 21."
},
{
"from": "gpt",
"value": "-626"
}
] |
[
{
"from": "human",
"value": "Let p = -3.5 - -4. Let n = 0.3 - 0.3. Let v = 4.9 - -0.1. Which is the nearest to n? (a) p (b) v (c) 2"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -h - 4*h + h for h."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Convert -5a (base 13) to base 6."
},
{
"from": "gpt",
"value": "-203"
}
] |
[
{
"from": "human",
"value": "Convert 8 (base 12) to base 16."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Let v = 70 + -48. Let x = v - 7. Sort 4, x, -2 in decreasing order."
},
{
"from": "gpt",
"value": "x, 4, -2"
}
] |
[
{
"from": "human",
"value": "What is the value of 4 + 0 + (-6 - (-2 + 0))?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let q(h) = -h**2 + 6*h - 3. Let o be q(6). Calculate the remainder when 13 is divided by 3/(9/(-5))*o."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-6)/(-2))/(-1*(-14)/7)?"
},
{
"from": "gpt",
"value": "3/2"
}
] |
[
{
"from": "human",
"value": "Is 1171 prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the i'th term of 195, 153, 107, 57, 3, -55, -117?"
},
{
"from": "gpt",
"value": "-2*i**2 - 36*i + 233"
}
] |
[
{
"from": "human",
"value": "Put -2, -6, 0, 2 in decreasing order."
},
{
"from": "gpt",
"value": "2, 0, -2, -6"
}
] |
[
{
"from": "human",
"value": "Let b be 3/(9/(-12))*3. Let q = b + 12. Suppose 2/3*y + q - 4/3*y**3 + y**4 - 1/3*y**2 = 0. What is y?"
},
{
"from": "gpt",
"value": "-2/3, 0, 1"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of 16*j*z**4 + 83*j - 1 wrt z."
},
{
"from": "gpt",
"value": "64*j*z**3"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -1000010 - 1?"
},
{
"from": "gpt",
"value": "-1000011"
}
] |
[
{
"from": "human",
"value": "Suppose -31 - 59 = -3*t. Solve z - 7 = l, 2*l + 3*l = 4*z - t for z."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "19 * -0.09"
},
{
"from": "gpt",
"value": "-1.71"
}
] |
[
{
"from": "human",
"value": "Let v be (-1)/((-32)/(-12) - 3). Suppose -3*h - 2 = 4*a, -6 = -v*h - 2*h - 2*a. Which is greater: h or 14/5?"
},
{
"from": "gpt",
"value": "14/5"
}
] |
[
{
"from": "human",
"value": "Let v(l) be the first derivative of -l**4/12 - 5*l**2/2 - 2. Let p(m) be the second derivative of v(m). Let q(u) = u**2. Determine q(p(r))."
},
{
"from": "gpt",
"value": "4*r**2"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 172?"
},
{
"from": "gpt",
"value": "2, 43"
}
] |
[
{
"from": "human",
"value": "Solve -2*p = -4*l + 8, 4*l = 10*p - 5*p + 14 for l."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is -0.3832473752 rounded to four dps?"
},
{
"from": "gpt",
"value": "-0.3832"
}
] |
[
{
"from": "human",
"value": "Simplify (((j*j**(-2/9))/j*j*(j*j/j**(-6))/j)/(j*j**(-11)*j*j*j/j**9))**34 assuming j is positive."
},
{
"from": "gpt",
"value": "j**(7276/9)"
}
] |
[
{
"from": "human",
"value": "Let u(i) = i**2 - 5*i + 7. Let y = -2 - 3. Let l be u(y). Suppose 0 = -4*d + w + l, -2*w + 30 = d + 3*w. Calculate the remainder when d is divided by 9."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 2*k - 4*q - 16, 8 = -3*q - 1. Suppose -8 = -k*z, 0 = -3*l + 3*z + z - 28. Suppose -36 = 5*g + 5*o - 1, 0 = -g - 5*o - 23. Which is smaller: l or g?"
},
{
"from": "gpt",
"value": "l"
}
] |
[
{
"from": "human",
"value": "Let h = 0 - -1. Let m = h + -0.6. Let v(j) = -j**2 + 4*j + 7. Let s be v(6). Which is the nearest to 0.1? (a) 0.1 (b) m (c) s"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Simplify 5*(sqrt(1539)*-2)**2*6*-6."
},
{
"from": "gpt",
"value": "-1108080"
}
] |
[
{
"from": "human",
"value": "Suppose 2*q - 67 = 13. Suppose 2*t - 4 = q. List the prime factors of t."
},
{
"from": "gpt",
"value": "2, 11"
}
] |
[
{
"from": "human",
"value": "What is the difference between -1.75 and -12737?"
},
{
"from": "gpt",
"value": "12735.25"
}
] |
[
{
"from": "human",
"value": "What is the common denominator of -71/1828 and 101/110?"
},
{
"from": "gpt",
"value": "100540"
}
] |
[
{
"from": "human",
"value": "Let a(h) = h**3 + 11*h**2 - 5*h - 4. Is a(-11) a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -7271 or -7269?"
},
{
"from": "gpt",
"value": "-7271"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in 5/44, 6.5, 2/3?"
},
{
"from": "gpt",
"value": "5/44"
}
] |
[
{
"from": "human",
"value": "Let m = -21 - -14. Let y be m*3/(-7)*2. Let t(h) = h + 1. Let j be t(y). Round j to the nearest 10."
},
{
"from": "gpt",
"value": "10.0"
}
] |
[
{
"from": "human",
"value": "What is the value of -6*(-2)/(-6) + (-8)/4?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 1 - 5*t**3 - 5*t**2 + 2 - 3 wrt t?"
},
{
"from": "gpt",
"value": "-30"
}
] |
[
{
"from": "human",
"value": "What is the next term in -46, -101, -158, -217, -278, -341, -406?"
},
{
"from": "gpt",
"value": "-473"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of -22, -54, -90, -130?"
},
{
"from": "gpt",
"value": "-2*p**2 - 26*p + 6"
}
] |
[
{
"from": "human",
"value": "What is 81030 plus 0.4?"
},
{
"from": "gpt",
"value": "81030.4"
}
] |
[
{
"from": "human",
"value": "Evaluate 130/78*(-2)/(-10)*-18."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "What is the y'th term of 12, 32, 60, 90, 116?"
},
{
"from": "gpt",
"value": "-y**3 + 10*y**2 - 3*y + 6"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 302 is divided by 76?"
},
{
"from": "gpt",
"value": "74"
}
] |
[
{
"from": "human",
"value": "What is the greatest common divisor of 7584 and 791106?"
},
{
"from": "gpt",
"value": "474"
}
] |
[
{
"from": "human",
"value": "Solve -73*a + 75*a + 10 = 0 for a."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is -0.09032 + 0.1?"
},
{
"from": "gpt",
"value": "0.00968"
}
] |
[
{
"from": "human",
"value": "Let w be ((48/(-2))/(-3))/1. Which is smaller: 12 or w?"
},
{
"from": "gpt",
"value": "w"
}
] |
[
{
"from": "human",
"value": "Are -61.9 and 0 equal?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(12)/sqrt(4))**2*-3 - (sqrt(3) - (0 + sqrt(48)))."
},
{
"from": "gpt",
"value": "-9 + 3*sqrt(3)"
}
] |
[
{
"from": "human",
"value": "Suppose 28 = 2*l + 4*j, 0 = -l - 3*l + 5*j + 4. Let k(h) = 3*h**3 + 15*h**2 - 24*h + 12. Let g(m) = -m**3. Let t(z) = l*g(z) + k(z). Factor t(c)."
},
{
"from": "gpt",
"value": "-3*(c - 2)**2*(c - 1)"
}
] |
[
{
"from": "human",
"value": "Suppose g - 2*s - 4 = 6, -g + 4*s = -18. Let m(n) be the first derivative of 0*n**g - 2 - 1/9*n**3 + 0*n. Find f such that m(f) = 0."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 1821?"
},
{
"from": "gpt",
"value": "3, 607"
}
] |
[
{
"from": "human",
"value": "Let r = -0.1 - -0.4. Let j = r + 0. Let o = 0.3 - j. Is -2 equal to o?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(7)*-2 + -5)*4)**2."
},
{
"from": "gpt",
"value": "320*sqrt(7) + 848"
}
] |
[
{
"from": "human",
"value": "What is the value of (-30)/(-3)*(16 + 16 + -31)?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Express -5*n + 3*n + 12 - 7 + n**4 - 4 in the form u*n**4 + i*n + s + a*n**3 + l*n**2 and give l."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Solve 3*o = -3*j - 6, -275*j = -270*j - 5*o - 10 for j."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the next term in 2395, 2392, 2393, 2404, 2431, 2480, 2557, 2668?"
},
{
"from": "gpt",
"value": "2819"
}
] |
[
{
"from": "human",
"value": "Calculate (1 - 18) + (13 - (10 + -4))."
},
{
"from": "gpt",
"value": "-10"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 0 or 32765?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the y'th term of 49, 204, 469, 844, 1329, 1924, 2629?"
},
{
"from": "gpt",
"value": "55*y**2 - 10*y + 4"
}
] |
[
{
"from": "human",
"value": "What is ((-12)/66*-11)/((-4)/(-6))?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "((-48)/(-72))/(2/(-3))"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -26*b**2*c**2*g*m - 2*b**2*c**2*m - 2*b*c**2*g + 2*b*c**2*m + 2*b*g + 6*c**2 - c*g*m wrt b?"
},
{
"from": "gpt",
"value": "-52*c**2*g*m - 4*c**2*m"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of 328, 330, 332, 334, 336, 338?"
},
{
"from": "gpt",
"value": "2*u + 326"
}
] |
[
{
"from": "human",
"value": "Express (-5*n**3 + 4*n**3 + 3*n**3)*(-108 - 17*n + 108) - 88*n + 88*n + n**4 in the form p + l*n**2 + w*n**3 + i*n**4 + k*n and give p."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What comes next: -9, 25, 61, 99, 139?"
},
{
"from": "gpt",
"value": "181"
}
] |
[
{
"from": "human",
"value": "-1 - -2180969"
},
{
"from": "gpt",
"value": "2180968"
}
] |
[
{
"from": "human",
"value": "Let p(q) = 6 - q. Let f be p(4). What is the remainder when 46 is divided by 24*((-3)/f + 2)?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Suppose -2*x = f - 15, 2*f - 3*x = -3*f + 10. What is the second biggest value in 1/19, 0.1, f?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "Let t(f) = -3*f**2 - 2*f. Suppose 5*z - h + 1 = -4*h, 3*h = -z + 7. Let i(d) = -2*d + 4*d**2 + 0*d + 5*d. Give z*i(g) - 3*t(g)."
},
{
"from": "gpt",
"value": "g**2"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 288?"
},
{
"from": "gpt",
"value": "2, 3"
}
] |
[
{
"from": "human",
"value": "What is 505 minutes after 1:32 PM?"
},
{
"from": "gpt",
"value": "9:57 PM"
}
] |
[
{
"from": "human",
"value": "What is -6168 divided by 6?"
},
{
"from": "gpt",
"value": "-1028"
}
] |
[
{
"from": "human",
"value": "Let f(c) = -12*c**3 - c - 1. Suppose -3*d - 4 = -d, -3*j = -2*d - 109. Calculate the remainder when j is divided by f(-1)."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Is 747 a multiple of 10?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 44 and 726?"
},
{
"from": "gpt",
"value": "22"
}
] |
[
{
"from": "human",
"value": "Which is greater: -0.6 or 1/3?"
},
{
"from": "gpt",
"value": "1/3"
}
] |
[
{
"from": "human",
"value": "Let d = 9 + -6. Solve -d*n + 5*t = n + 23, 22 = -5*n + 4*t for n."
},
{
"from": "gpt",
"value": "-2"
}
] |
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