conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "-18 divided by 6"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let z be (-5)/(-2)*2*1. Find the third derivative of 232*f + z*f**4 - 232*f + 8*f**2 wrt f."
},
{
"from": "gpt",
"value": "120*f"
}
] |
[
{
"from": "human",
"value": "Solve 2*h - 4*b = 21 - 1, -b = 5*h - 6 for h."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 62501?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 286*g**2 + 303*g**2 - 864*g**2 + 273*g**2."
},
{
"from": "gpt",
"value": "-2*g**2"
}
] |
[
{
"from": "human",
"value": "Let z = 15 + -11. Suppose -z*x + 2*x = 0. Let s(i) = 4*i - 2*i - 4*i + 10 + i. Give s(x)."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Express g**2 - 4*g**3 - 1 + 6*g**3 - 4*g**3 in the form o + l*g**3 + d*g**2 + q*g and give d."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "6 (base 7) to base 10"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(1539)*-1 + 1)**2 - (sqrt(2736) + -1)**2*6."
},
{
"from": "gpt",
"value": "-14882 + 126*sqrt(19)"
}
] |
[
{
"from": "human",
"value": "Product of -45 and -260."
},
{
"from": "gpt",
"value": "11700"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 43*h + 41*h - 123*h + 40*h."
},
{
"from": "gpt",
"value": "h"
}
] |
[
{
"from": "human",
"value": "What is -5 (base 15) in base 9?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is next in 2338, 4676, 7014, 9352, 11690, 14028?"
},
{
"from": "gpt",
"value": "16366"
}
] |
[
{
"from": "human",
"value": "Suppose -5*h + 9 + 6 = 0. Let o(l) = -l**2 - 9*l - 15. Let t be o(-5). Solve t + 1 = h*a for a."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the value of (-15)/6*102/85?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -3*g - 2*g - g + 6."
},
{
"from": "gpt",
"value": "6 - 6*g"
}
] |
[
{
"from": "human",
"value": "Simplify ((-4*sqrt(88)*2 - sqrt(88)) + ((-2*sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88))*2)/(sqrt(392)*-1*-2) + 1."
},
{
"from": "gpt",
"value": "1 - 15*sqrt(11)/14"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 2/11 (b) 0.03 (c) 1/10 (d) -1/2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Calculate 11 - 13/(156/168)."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Solve f + 6 = -4*h - 3, 0 = -f - 2*h - 3 for f."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Round 5235425.38 to the nearest one million."
},
{
"from": "gpt",
"value": "5000000.0"
}
] |
[
{
"from": "human",
"value": "Is 948111 prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let p(b) = 2*b**3 - 14*b**2 + 11*b + 6. Let m be p(6). Solve m = y - 1 for y."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 4379 to the nearest integer?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "Let n be (-14 + 16)*4/2. Solve t - g = 1, 0*t + t = n*g + 7 for t."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let b = 16 - 39. Let a = b + 32. Let w be -3 - a*(2 - 3). What is the greatest common divisor of w and 3?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "In base 16, what is -259 - -3?"
},
{
"from": "gpt",
"value": "-256"
}
] |
[
{
"from": "human",
"value": "Let o = 0.17 + -0.27. Which is the fourth smallest value? (a) -2/17 (b) 5 (c) o (d) 3"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is 6133.824ml in litres?"
},
{
"from": "gpt",
"value": "6.133824"
}
] |
[
{
"from": "human",
"value": "What is -6 + 2 + 0 + 3 + 0?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let n = -891/7 + 128. Let t = 39/35 - n. Let s be ((-2)/(-2))/(-9 + 10). What is the third smallest value in t, 3, s?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 271 is divided by 80."
},
{
"from": "gpt",
"value": "31"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in -0.6, 387, -0.5, 0?"
},
{
"from": "gpt",
"value": "-0.6"
}
] |
[
{
"from": "human",
"value": "What is (-9)/(-36)*14*(-27)/189*-242?"
},
{
"from": "gpt",
"value": "121"
}
] |
[
{
"from": "human",
"value": "Is 2 a factor of (-7 + 13)*(-6)/(-4)?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is next in 4992, 4994, 4996, 4998, 5000, 5002?"
},
{
"from": "gpt",
"value": "5004"
}
] |
[
{
"from": "human",
"value": "Let a(c) be the first derivative of -1/20*c**5 - 1/6*c**4 - c - 2 - 1/6*c**3 + 0*c**2. Let d(i) be the first derivative of a(i). Factor d(t)."
},
{
"from": "gpt",
"value": "-t*(t + 1)**2"
}
] |
[
{
"from": "human",
"value": "Simplify 4 + 2 + sqrt(3)*2."
},
{
"from": "gpt",
"value": "2*sqrt(3) + 6"
}
] |
[
{
"from": "human",
"value": "Let j(q) = -2*q**2 - 9*q + 2. Let a be j(-4). Suppose 9*d - a*d = 177. Let p = d - 36. Solve m - 8 = -2*f, -3*f - 4*m - p = -6*f for f."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let v = -0.240036 + 0.24. What is v rounded to 5 decimal places?"
},
{
"from": "gpt",
"value": "-4e-05"
}
] |
[
{
"from": "human",
"value": "Let j(a) be the first derivative of -2/5*a**5 + 0*a**4 + 2 + 0*a + 0*a**2 - 2/3*a**3. What is the third derivative of j(d) wrt d?"
},
{
"from": "gpt",
"value": "-48*d"
}
] |
[
{
"from": "human",
"value": "Solve 3*o - 2029 = -2005 for o."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "What is next in -58, -105, -152, -199?"
},
{
"from": "gpt",
"value": "-246"
}
] |
[
{
"from": "human",
"value": "Suppose -13*q + 9*q = -20. What is the units digit of q?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Which is the third biggest value? (a) 0 (b) -1 (c) 10.2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is ((6/4)/(-1))/(3/4)?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let r(u) = 1 - 4*u. Let j be r(-1). Suppose c = 2*m - 1, -4*c - 2*m = -1 - j. Let q(h) = h**2 - 2*h + 1. Let b be q(c). Solve b = -5*n + 2*n for n."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 10186*g**4 + g - 2806?"
},
{
"from": "gpt",
"value": "122232*g**2"
}
] |
[
{
"from": "human",
"value": "What is the next term in -874, -878, -892, -922, -974, -1054, -1168?"
},
{
"from": "gpt",
"value": "-1322"
}
] |
[
{
"from": "human",
"value": "Solve -5*h = -z - 6*h - 6, -4*z + 3*h = 10 for z."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let c(p) = 19 - 7*p. Let h(s) = 38 - 13*s. Let q(v) = -11*c(v) + 6*h(v). What is the tens digit of q(8)?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let i = -5 + 7. Let h be 5*i*6/4. Solve 3*g + 2*g - t + h = 0, -g + t - 7 = 0 for g."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of -20, -39, -62, -83, -96, -95, -74?"
},
{
"from": "gpt",
"value": "p**3 - 8*p**2 - 2*p - 11"
}
] |
[
{
"from": "human",
"value": "In base 14, what is 1817 + 2?"
},
{
"from": "gpt",
"value": "1819"
}
] |
[
{
"from": "human",
"value": "Let y(l) = -l**2 - 5*l + 18. Let p be y(-7). Let q = 0.51 - 0.16. Let b = -0.25 + q. Which is bigger: b or p?"
},
{
"from": "gpt",
"value": "p"
}
] |
[
{
"from": "human",
"value": "What is the biggest value in 0.5, 4, -0.021, 3?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let g(x) = -x - 2. Let b be g(-7). What is the third derivative of 0*m**3 + b*m**2 - 3*m**3 - 2*m**2 + 4*m**3 wrt m?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let y be (-9 - -8)/(1/(-1)). Is -3/10 > y?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let l(t) be the first derivative of 4*t**6/3 - 2*t**3 + 7. Find the third derivative of l(k) wrt k."
},
{
"from": "gpt",
"value": "480*k**2"
}
] |
[
{
"from": "human",
"value": "Suppose -4*c = 2*c - 150. What is the highest common factor of 5 and c?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is 470 to the power of 1/5, to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is next in 10, 21, 40, 67, 102, 145, 196?"
},
{
"from": "gpt",
"value": "255"
}
] |
[
{
"from": "human",
"value": "2002 divided by -3"
},
{
"from": "gpt",
"value": "-2002/3"
}
] |
[
{
"from": "human",
"value": "Let u be (92/184)/(1 + 10/(-12)). Let h(v) be the second derivative of 0 + 29*v + 33/20*v**5 + 0*v**u + 0*v**4 + 16*v**2. What is the derivative of h(y) wrt y?"
},
{
"from": "gpt",
"value": "99*y**2"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:59 AM and 4:15 PM?"
},
{
"from": "gpt",
"value": "556"
}
] |
[
{
"from": "human",
"value": "Let d = -2 + 1.9. Let m = 0 + d. Let r be (-15)/(-18)*6/(-20). What is the closest to m in 2, r, -3/7?"
},
{
"from": "gpt",
"value": "r"
}
] |
[
{
"from": "human",
"value": "Let u = -2 + 2. Suppose 2*t = 5*z + 26, -4*z = -6*t + t + 48. Solve -4*w + t = -u*w for w."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let d = -4 + 1. Calculate the remainder when 27 - d/2*-2 is divided by 13."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Solve -22*s - 21*s + 258 = 0 for s."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Does 2/19949 = 1?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose -3*y + 10 = -2. Suppose -3*x = -y*a - 7, x - 3*x + 10 = 0. Suppose 0 = -4*s + 16 - 0. What is the smallest value in a, 5, s?"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let j = 3 - 0. Let h(s) = -s**2 + 3*s + 3. Let d be h(j). Solve 3 = 3*q - d for q."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "(-21)/(-126)*-10*(-9)/12"
},
{
"from": "gpt",
"value": "5/4"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common divisor of 128 and 4."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the next term in 10100, 10098, 10094, 10088, 10080, 10070?"
},
{
"from": "gpt",
"value": "10058"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(80) + -6*sqrt(80))**2 - sqrt(80)) + -1."
},
{
"from": "gpt",
"value": "1999 - 4*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Solve 39*h - 14*h - 75 = 0 for h."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the next term in 3, 16, 43, 90, 163?"
},
{
"from": "gpt",
"value": "268"
}
] |
[
{
"from": "human",
"value": "Find i, given that 12*i**2 + i**2 - 27*i**3 + 8 - 3*i**2 + 25*i**3 - 16*i = 0."
},
{
"from": "gpt",
"value": "1, 2"
}
] |
[
{
"from": "human",
"value": "Calculate prob of sequence lpl when three letters picked without replacement from {o: 3, x: 1, p: 1, l: 7, f: 3, w: 3}."
},
{
"from": "gpt",
"value": "7/816"
}
] |
[
{
"from": "human",
"value": "Let d = 0.07 - -0.23. Which is the third biggest value? (a) d (b) -2 (c) -2/11"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Evaluate -8 + 3 - (8 + -9)."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Convert 12 (base 4) to base 10."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "In base 15, what is -2 - -953?"
},
{
"from": "gpt",
"value": "951"
}
] |
[
{
"from": "human",
"value": "Let w be 54/12 + 1/2. Suppose -w*d + 10 = -15. Suppose -3*f - 12 = -5*x, -d*f + 2 = 2*x - 3*x. Solve v - x + 7 = 0 for v."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 2*u - 6, -4*n + 4*u = -72 - 44. Calculate the highest common factor of 80 and n."
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "Determine i, given that -2*i**5/11 + 38*i**4/11 - 98*i**3/11 + 26*i**2/11 + 100*i/11 - 64/11 = 0."
},
{
"from": "gpt",
"value": "-1, 1, 2, 16"
}
] |
[
{
"from": "human",
"value": "Solve s + a = 7, 5*s - 41 = -2*a - 18 for s."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let w = 10 + -8. Let j be -4*((-1)/2 + 2). Let s be (-4)/14 + j/(-21). Solve w = 3*v + 8, 4*t + 3*v + 10 = s for t."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 480 is divided by 13?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "What is the value of -34*24/(-272)*((-931)/21)/7?"
},
{
"from": "gpt",
"value": "-19"
}
] |
[
{
"from": "human",
"value": "Let a = -0.68 - 20.32. What is the nearest to 0.2 in 2, a, -5?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let h = -44 + 43.9. What is the biggest value in h, 2/15, 4?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the fourth smallest value in -0.3, -3/2, -5, 0.1?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "What is next in 146, 155, 176, 215, 278?"
},
{
"from": "gpt",
"value": "371"
}
] |
[
{
"from": "human",
"value": "What is the product of 3 and 1.5?"
},
{
"from": "gpt",
"value": "4.5"
}
] |
[
{
"from": "human",
"value": "What is 0.255 minus 11?"
},
{
"from": "gpt",
"value": "-10.745"
}
] |
[
{
"from": "human",
"value": "Let l(g) = g**3 - 4*g**2 - 7*g + 3. Let x be l(5). Let k be 6 - ((-4)/2 - -4). Let n = k - x. Is n composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(102)/((sqrt(120)/sqrt(4) + sqrt(30))/sqrt(5))."
},
{
"from": "gpt",
"value": "sqrt(17)/2"
}
] |
[
{
"from": "human",
"value": "-53.035+-2.659607"
},
{
"from": "gpt",
"value": "-55.694607"
}
] |
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