conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Find the second derivative of 312*o*t**2*x**3 + 4*o*t**2*x - 2*o*t*x + 70*t*x**3 - 2*x**3 wrt t."
},
{
"from": "gpt",
"value": "624*o*x**3 + 8*o*x"
}
] |
[
{
"from": "human",
"value": "3 (base 7) to base 5"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let o(k) = -k**2 + 12*k - 5. Let q be o(10). Suppose m - 3*t + q = -0*m, -5 = -t. What is the nearest to m in -1, 2/5, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let w = 8 + -8. Let x = w + 0. What is the nearest to 0 in x, 0.2, 2/11?"
},
{
"from": "gpt",
"value": "x"
}
] |
[
{
"from": "human",
"value": "Let u = -30 - -15. Let p = 15.54 + u. Let o = -0.54000083 + p. Round o to 7 dps."
},
{
"from": "gpt",
"value": "-8e-07"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -2*f**4*r**3 + 23*f**4*r**2 + 3*f**3*r + 2*f**2*r**3 - 1597*f**2*r**2 + r**2 wrt f?"
},
{
"from": "gpt",
"value": "-48*f*r**3 + 552*f*r**2 + 18*r"
}
] |
[
{
"from": "human",
"value": "What is the value of (-10 - -6) + -3 + 5?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 170*o**2*r**2 - 2*o**2*r + 316*o**2 wrt r."
},
{
"from": "gpt",
"value": "340*o**2"
}
] |
[
{
"from": "human",
"value": "Let b(l) = l**3 + 7*l**2 + 7*l + 10. Let r be b(-6). Solve -3*x - 5*m + r = 5, -2*x + 3*m + 12 = 0 for x."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -2/13? (a) -2/13 (b) 0.4 (c) 3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let i = 61/6 + -29/3. Let 1/2*t**2 - 1/2 + i*t - 1/2*t**3 = 0. What is t?"
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "14900*-265.99"
},
{
"from": "gpt",
"value": "-3963251"
}
] |
[
{
"from": "human",
"value": "What is the r'th term of -9, 6, 31, 66?"
},
{
"from": "gpt",
"value": "5*r**2 - 14"
}
] |
[
{
"from": "human",
"value": "Solve -2*c**2/5 - 88*c/5 + 184/5 = 0."
},
{
"from": "gpt",
"value": "-46, 2"
}
] |
[
{
"from": "human",
"value": "Suppose 2*m - 16 = -x, 4*x + 8 = m - 0*x. Let t = m + -2. Let i be -2*(t/(-10))/3. What is the biggest value in i, -1/4, 3?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose 3*m - 100 = -2*m. Does 18 divide m/6*15/2?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Factor -r**3 - 15*r**2 - 14*r."
},
{
"from": "gpt",
"value": "-r*(r + 1)*(r + 14)"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -3*f + 3*f + 5*f**6 + f**2 wrt f?"
},
{
"from": "gpt",
"value": "600*f**3"
}
] |
[
{
"from": "human",
"value": "((-11)/(-2) - 4)/(-3)"
},
{
"from": "gpt",
"value": "-1/2"
}
] |
[
{
"from": "human",
"value": "0.2 - -0.0172"
},
{
"from": "gpt",
"value": "0.2172"
}
] |
[
{
"from": "human",
"value": "Which is the second smallest value? (a) 17/11 (b) -0.5 (c) -0.3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the d'th term of -921, -1841, -2761, -3681, -4601, -5521?"
},
{
"from": "gpt",
"value": "-920*d - 1"
}
] |
[
{
"from": "human",
"value": "Solve c + 2*u = 12, 12 = -4*c - 134*u + 138*u for c."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the r'th term of 54, 111, 158, 189, 198, 179, 126?"
},
{
"from": "gpt",
"value": "-r**3 + r**2 + 61*r - 7"
}
] |
[
{
"from": "human",
"value": "Let b = 96 + -62. Suppose -3*q + u + b = -0*u, 2*q + u - 31 = 0. Is q a multiple of 13?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "How many microseconds are there in 4.941247 milliseconds?"
},
{
"from": "gpt",
"value": "4941.247"
}
] |
[
{
"from": "human",
"value": "Let o(v) = -v**3 - 6*v**2 + 7*v + 4. Let h be o(-7). Solve g = 3*g - h for g."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is next in -210, -424, -638?"
},
{
"from": "gpt",
"value": "-852"
}
] |
[
{
"from": "human",
"value": "What is 493 minutes after 12:49 PM?"
},
{
"from": "gpt",
"value": "9:02 PM"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 2*a + 2, -2*a + 11 = 2*o + 3. Let g = 43 + -41. Solve o = g*n - 5, -5*t = 3*n - 40 for t."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Sort 115, 1, -2, -5, 3."
},
{
"from": "gpt",
"value": "-5, -2, 1, 3, 115"
}
] |
[
{
"from": "human",
"value": "Let z = -22 - -36. Suppose 6 = 2*b - z. What is the lowest common multiple of b and 8?"
},
{
"from": "gpt",
"value": "40"
}
] |
[
{
"from": "human",
"value": "What is the product of 19 and 0.18?"
},
{
"from": "gpt",
"value": "3.42"
}
] |
[
{
"from": "human",
"value": "What is the fifth root of 30877 to the nearest integer?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Which is the second smallest value? (a) 0.8 (b) -0.9 (c) 0.01 (d) -2/9"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 110 is divided by 55?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Find the common denominator of -28/331 and -75/8."
},
{
"from": "gpt",
"value": "2648"
}
] |
[
{
"from": "human",
"value": "Calculate ((-84)/(-8))/((-15)/10)."
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "Let d be 2/(-1)*(0 + -1). Let t be ((-2)/(-4))/(d/(-4)). Let u be (0 + t - -1)/(-2). Solve u = -n - 3 for n."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the value of (0/((-21)/7))/(1/(-1))?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the j'th term of -11, -166, -587, -1406, -2755, -4766?"
},
{
"from": "gpt",
"value": "-22*j**3 - j**2 + 2*j + 10"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common divisor of 234 and 26."
},
{
"from": "gpt",
"value": "26"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 470 is divided by 79."
},
{
"from": "gpt",
"value": "75"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 31*h*p**5 - 33*h*p**4 - h*p - 2*h + 762*p wrt p."
},
{
"from": "gpt",
"value": "620*h*p**3 - 396*h*p**2"
}
] |
[
{
"from": "human",
"value": "Let w be 1 - (-14)/6 - 2. Let k(v) = v**3 - 24*v**2 + 25*v - 57. Let z be k(23). What is the third biggest value in w, 4/7, z?"
},
{
"from": "gpt",
"value": "z"
}
] |
[
{
"from": "human",
"value": "How many kilograms are there in 646.4194 nanograms?"
},
{
"from": "gpt",
"value": "0.0000000006464194"
}
] |
[
{
"from": "human",
"value": "Let q be ((-1)/1)/2*-10. What is the second derivative of -3*s**3 - 3*s + 5*s + q*s - 4*s wrt s?"
},
{
"from": "gpt",
"value": "-18*s"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 12914555?"
},
{
"from": "gpt",
"value": "5, 2582911"
}
] |
[
{
"from": "human",
"value": "Let d be (18/10)/((-2)/(-10)). Let h = d + -3. Suppose 5*b + 4*c - 26 = 0, -h*b + 2*c = -b - 2. Solve f = -b*f - 3 for f."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Factor -3*a**3 - 61*a**2 - 20*a."
},
{
"from": "gpt",
"value": "-a*(a + 20)*(3*a + 1)"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -1? (a) -0.2 (b) -11 (c) -1/3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let j(s) = s - 27. Give j(26)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What comes next: -34, -48, -62, -76, -90, -104?"
},
{
"from": "gpt",
"value": "-118"
}
] |
[
{
"from": "human",
"value": "Factor -q**3 - 234044186*q**2 - 13694170250100649*q."
},
{
"from": "gpt",
"value": "-q*(q + 117022093)**2"
}
] |
[
{
"from": "human",
"value": "What is the value of -7 + (8 - (6 + -6))?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What comes next: 11, 19, 11, -19, -77?"
},
{
"from": "gpt",
"value": "-169"
}
] |
[
{
"from": "human",
"value": "What is the v'th term of -19, -75, -169, -301, -471, -679?"
},
{
"from": "gpt",
"value": "-19*v**2 + v - 1"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 11 and 44?"
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 0.05 (b) -0.06 (c) -1 (d) -2/13"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let u = 123 + -56. Let r = u - 67.315. What is r rounded to 2 dps?"
},
{
"from": "gpt",
"value": "-0.32"
}
] |
[
{
"from": "human",
"value": "Find the common denominator of -57/3025 and 103/1650."
},
{
"from": "gpt",
"value": "18150"
}
] |
[
{
"from": "human",
"value": "Solve 5*h + 10*o = 12*o - 35, h - o = -10 for h."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 7*y**2 + 10*y - 9 wrt y?"
},
{
"from": "gpt",
"value": "14"
}
] |
[
{
"from": "human",
"value": "Let k = 160 + -161. Let o = 1 + -0.8. Is k at least o?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let y(k) = 4*k - 25. Give y(6)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is -65 less than 9439?"
},
{
"from": "gpt",
"value": "9504"
}
] |
[
{
"from": "human",
"value": "In base 5, what is -20343 - 1?"
},
{
"from": "gpt",
"value": "-20344"
}
] |
[
{
"from": "human",
"value": "Let z be (10/6)/((-8)/(-24)). Suppose -4*q + 23 = c, -2*c + 28 = -c + 5*q. Solve -z*r = t - 21, -3 = -c*t - 0 for r."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 11:02 AM and 8:30 PM?"
},
{
"from": "gpt",
"value": "568"
}
] |
[
{
"from": "human",
"value": "Calculate ((-40)/(-5))/((-10)/5)."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let v(c) = -c**3 + c**2 - c + 82. Let u be v(0). Suppose 2*h - u = -2*y, 4*h + 105 = 3*y + h. Is y prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 2*n**4 - 224*n**3 - 4*n + 58."
},
{
"from": "gpt",
"value": "24*n**2 - 1344*n"
}
] |
[
{
"from": "human",
"value": "What is 4612 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "68"
}
] |
[
{
"from": "human",
"value": "What is the r'th term of 47, 88, 127, 164, 199, 232, 263?"
},
{
"from": "gpt",
"value": "-r**2 + 44*r + 4"
}
] |
[
{
"from": "human",
"value": "What is the t'th term of 10122, 10126, 10132, 10140?"
},
{
"from": "gpt",
"value": "t**2 + t + 10120"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 9396 and 126?"
},
{
"from": "gpt",
"value": "18"
}
] |
[
{
"from": "human",
"value": "What is next in 409, 410, 411?"
},
{
"from": "gpt",
"value": "412"
}
] |
[
{
"from": "human",
"value": "Let d(p) = 8*p**2 + 6*p. Let h(k) = k**2 + k. Let r(n) = -d(n) + 6*h(n). Let a(j) be the first derivative of 20 - 7*j**2/2. Give a(r(u))."
},
{
"from": "gpt",
"value": "14*u**2"
}
] |
[
{
"from": "human",
"value": "In base 13, what is 3 + -b4?"
},
{
"from": "gpt",
"value": "-b1"
}
] |
[
{
"from": "human",
"value": "-8611 - 1"
},
{
"from": "gpt",
"value": "-8612"
}
] |
[
{
"from": "human",
"value": "Let m(c) be the third derivative of c**8/112 + 5*c**4/12 + 4*c**2. What is the second derivative of m(k) wrt k?"
},
{
"from": "gpt",
"value": "60*k**3"
}
] |
[
{
"from": "human",
"value": "What is 1252 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let i = 7.6 - 4. Let w = i + -0.6. Let p = w + -6. Which is the biggest value? (a) 1/3 (b) 0 (c) p"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 998582 is divided by 1486?"
},
{
"from": "gpt",
"value": "1476"
}
] |
[
{
"from": "human",
"value": "Let p(n) = -79*n**3 + 2*n**2 + n - 1. What is p(-1)?"
},
{
"from": "gpt",
"value": "79"
}
] |
[
{
"from": "human",
"value": "Let j be -1 + (0 - -2 - -2). Suppose 8 = 4*y - 2*b, 5*y - 2*b + j*b = 3. Let p = 175/424 - 2/53. Which is bigger: y or p?"
},
{
"from": "gpt",
"value": "y"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 110780334 is divided by 44?"
},
{
"from": "gpt",
"value": "38"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) -6 (b) 0 (c) 3/8"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Suppose -f - 2*k + 15 = 0, -2*f + 15 = -f - 4*k. Let c be (f/6)/(2/(-4)). What is the second smallest value in -0.4, -0.5, c?"
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "What is the a'th term of -10, -7, -2, 5, 14, 25, 38?"
},
{
"from": "gpt",
"value": "a**2 - 11"
}
] |
[
{
"from": "human",
"value": "What is the product of 386 and 3?"
},
{
"from": "gpt",
"value": "1158"
}
] |
[
{
"from": "human",
"value": "Let y(i) = 4*i**3 - i**2 - 2. What is y(2)?"
},
{
"from": "gpt",
"value": "26"
}
] |
[
{
"from": "human",
"value": "What is -207 divided by -4?"
},
{
"from": "gpt",
"value": "207/4"
}
] |
[
{
"from": "human",
"value": "What is the j'th term of -20, -34, -48, -62?"
},
{
"from": "gpt",
"value": "-14*j - 6"
}
] |
[
{
"from": "human",
"value": "Is 27 > 23?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is (12 - (-12 - -14)) + 1 + -2?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "What is 56226 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "38"
}
] |
[
{
"from": "human",
"value": "Which is the smallest value? (a) -67 (b) -3 (c) 23 (d) 4/5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the third biggest value in -2.09, -1/2, -4, 1/9?"
},
{
"from": "gpt",
"value": "-2.09"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 8:07 AM and 8:27 AM?"
},
{
"from": "gpt",
"value": "20"
}
] |
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