conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let o(a) be the first derivative of -3*a**2/2 - 2*a - 2. Let s be o(-2). Suppose 2*w - 4 = -s*x, -5*x - w = -3*w - 14. What is the units digit of x?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let f = -27.17 + 27. Let r = -0.03 + f. Which is the nearest to -0.1? (a) 3 (b) r (c) -2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let l = 11 - 7. Let y = l + -7. Let w be (39/(-52))/(42/16). What is the nearest to -1 in y, 3, w?"
},
{
"from": "gpt",
"value": "w"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -3*q + 3*b - 27, 3*b + b - 12 = 0. Let k = q + 9. Solve 3*v + 4 = -3*j + 1, k*j + 27 = 3*v for j."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 54832 and 384?"
},
{
"from": "gpt",
"value": "1315968"
}
] |
[
{
"from": "human",
"value": "What is the z'th term of -1287, -1285, -1283?"
},
{
"from": "gpt",
"value": "2*z - 1289"
}
] |
[
{
"from": "human",
"value": "Let l be (-34)/(-2) - (9 + -7). Let q = l + -13. Solve -q*z = 2*z + 20 for z."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve -7*p - 22 - 6 = 0 for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 5841."
},
{
"from": "gpt",
"value": "3, 11, 59"
}
] |
[
{
"from": "human",
"value": "Let h(d) = d**2 - 2*d - 4. Suppose 3*r + 2*x = r + 4, -2*r = x - 6. Let i be h(r). Solve i*z + f = -0*z - 9, z - 2*f - 9 = 0 for z."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 1? (a) 3 (b) 0.1 (c) 5.4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let v(t) = t + 14. Let s be v(-11). Solve 6 = -s*u + 3 for u."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is m in 2*m**3 + 1704*m**2 + 483936*m + 45812608 = 0?"
},
{
"from": "gpt",
"value": "-284"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 0? (a) -2 (b) 3 (c) 0.01 (d) 0"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "In base 10, what is 1 + 76?"
},
{
"from": "gpt",
"value": "77"
}
] |
[
{
"from": "human",
"value": "Is 192967 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the first derivative of -c*w**3 - 152*c - 276*w wrt w?"
},
{
"from": "gpt",
"value": "-3*c*w**2 - 276"
}
] |
[
{
"from": "human",
"value": "Is 60 a factor of 47940?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "1151598 divided by 27419"
},
{
"from": "gpt",
"value": "42"
}
] |
[
{
"from": "human",
"value": "Let w(u) = u + 11. Let r be w(-9). Solve r = -0*n + n for n."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What comes next: 88, 205, 394, 649, 964, 1333?"
},
{
"from": "gpt",
"value": "1750"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 70 is divided by 3."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let i(p) be the second derivative of -p**4/78 + 5*p**3/39 + 6*p**2/13 + 12*p. Factor i(n)."
},
{
"from": "gpt",
"value": "-2*(n - 6)*(n + 1)/13"
}
] |
[
{
"from": "human",
"value": "Suppose 3 = 3*i + 3*p, 2*i - 4*i = -p - 8. Let a be ((-12)/(-9))/((-1)/(-6)). Suppose -y = 3*y - a. Solve -y*v = -i*v for v."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 4:19 PM and 11:17 PM?"
},
{
"from": "gpt",
"value": "418"
}
] |
[
{
"from": "human",
"value": "Let l(t) = 12 - t. Let n be l(12). Solve 0*w + w - 2 = n for w."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Sort -56, 1/5, -0.1 in descending order."
},
{
"from": "gpt",
"value": "1/5, -0.1, -56"
}
] |
[
{
"from": "human",
"value": "In base 7, what is 6 + 0?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) -2/25 (b) 3/4 (c) -0.1 (d) 0.2"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Let i(l) = l**3 - 12*l**2 + l - 12. Let j be i(12). Solve -y - 2*y - 6 = j for y."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Suppose 5*h**2 - 125*h + 230 = 0. Calculate h."
},
{
"from": "gpt",
"value": "2, 23"
}
] |
[
{
"from": "human",
"value": "What is the value of -3 + -1 - 1 - (9 - 13)?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Factor -2*v**3/7 + 136946*v**2/7 + 12062864*v/7 + 265468192/7."
},
{
"from": "gpt",
"value": "-2*(v - 68561)*(v + 44)**2/7"
}
] |
[
{
"from": "human",
"value": "What is the square root of 5061443 to the nearest integer?"
},
{
"from": "gpt",
"value": "2250"
}
] |
[
{
"from": "human",
"value": "Let f = -0.1 + 0.1. Let l = 0.47 - 0.17. Is f greater than l?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "How many millilitres are there in 3714.654l?"
},
{
"from": "gpt",
"value": "3714654"
}
] |
[
{
"from": "human",
"value": "Suppose -4*x + 86 = -270. Is x a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Two letters picked without replacement from aaaaaaacbaacaafjct. Give prob of picking 1 t and 1 a."
},
{
"from": "gpt",
"value": "11/153"
}
] |
[
{
"from": "human",
"value": "Solve 2*z**2/9 + 92*z/3 - 2030/9 = 0."
},
{
"from": "gpt",
"value": "-145, 7"
}
] |
[
{
"from": "human",
"value": "What is 7510 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "87"
}
] |
[
{
"from": "human",
"value": "Which is the smallest value? (a) 0.1 (b) -14 (c) 1 (d) 0"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is the value of (-9)/1*6/18*1?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Calculate -250 divided by -5."
},
{
"from": "gpt",
"value": "50"
}
] |
[
{
"from": "human",
"value": "What is 19 minutes before 11:45 PM?"
},
{
"from": "gpt",
"value": "11:26 PM"
}
] |
[
{
"from": "human",
"value": "Put 66, 0.4, 14 in ascending order."
},
{
"from": "gpt",
"value": "0.4, 14, 66"
}
] |
[
{
"from": "human",
"value": "What is the fifth root of 211167 to the nearest integer?"
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 296*m**3 - 17*m**2 + 7*m wrt m."
},
{
"from": "gpt",
"value": "1776"
}
] |
[
{
"from": "human",
"value": "Solve 72*a - 126 = -54 for a."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the h'th term of -177, -184, -203, -240, -301, -392, -519?"
},
{
"from": "gpt",
"value": "-h**3 - 176"
}
] |
[
{
"from": "human",
"value": "What is 46.51526g in milligrams?"
},
{
"from": "gpt",
"value": "46515.26"
}
] |
[
{
"from": "human",
"value": "What is the closest to 0.1 in -222, -5, 0.149?"
},
{
"from": "gpt",
"value": "0.149"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common divisor of 2839 and 17."
},
{
"from": "gpt",
"value": "17"
}
] |
[
{
"from": "human",
"value": "Simplify ((-1 + sqrt(7))**2*-3 - sqrt(7)) + (sqrt(448) + 0)**2."
},
{
"from": "gpt",
"value": "5*sqrt(7) + 424"
}
] |
[
{
"from": "human",
"value": "Let t(i) be the first derivative of 15*i**2/2 - 1. Suppose -v + 3*r = -13, v - 4*r = -0*r + 17. Is t(v) a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let x be (-3)/(-30)*8/6. What is the third biggest value in x, -4, -3?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Sort 2, 38.7, -1, 1/4, -5, -1/3 in decreasing order."
},
{
"from": "gpt",
"value": "38.7, 2, 1/4, -1/3, -1, -5"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -1? (a) 0.5 (b) 3 (c) 2/17 (d) 0.2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let n = -4 - -3.99999904. Round n to seven decimal places."
},
{
"from": "gpt",
"value": "-1e-06"
}
] |
[
{
"from": "human",
"value": "121 (base 4) to base 16"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "What is 97 minutes after 10:26 AM?"
},
{
"from": "gpt",
"value": "12:03 PM"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 2*t**3 - t**2 + 175*t wrt t."
},
{
"from": "gpt",
"value": "12*t - 2"
}
] |
[
{
"from": "human",
"value": "Is 43 a factor of 3268?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let n(q) = -q**3 - q**2 + 18. Let c be n(0). Solve w - 4 = -3*f + 8, c = 3*f + 3*w for f."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Calculate 3*-38."
},
{
"from": "gpt",
"value": "-114"
}
] |
[
{
"from": "human",
"value": "Suppose 35 = 3*t - 22. Suppose b = -3*y + t, 4*y = -y + 15. List the prime factors of b."
},
{
"from": "gpt",
"value": "2, 5"
}
] |
[
{
"from": "human",
"value": "Evaluate 3/3*1*4/10."
},
{
"from": "gpt",
"value": "2/5"
}
] |
[
{
"from": "human",
"value": "Simplify (v**(5/2)*v**10*(v/(v*v**(-2)))**(2/47))**(-3/10) assuming v is positive."
},
{
"from": "gpt",
"value": "v**(-3549/940)"
}
] |
[
{
"from": "human",
"value": "In base 11, what is 22 + 4?"
},
{
"from": "gpt",
"value": "26"
}
] |
[
{
"from": "human",
"value": "Suppose -r + 3*r = 80. Suppose -3*b - x = -r, x + 27 = 2*b + 2*x. What is the tens digit of b?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is the v'th term of -35, -48, -61, -74, -87?"
},
{
"from": "gpt",
"value": "-13*v - 22"
}
] |
[
{
"from": "human",
"value": "Let b(z) = -4*z - 15 + 5*z + 14. Let n(p) = -4*p + 2*p - 5*p + 6. What is 5*b(d) + n(d)?"
},
{
"from": "gpt",
"value": "1 - 2*d"
}
] |
[
{
"from": "human",
"value": "Suppose 4*z = 5*c - 45, c + 0*c = -5*z - 20. Suppose 3*t - 3*p + p - 11 = 0, 2*t - 10 = 4*p. Solve -c*d = -t*d - 4 for d."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "18/15*10/45*-15"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Calculate 0 + (-7 + 2)/(-10)."
},
{
"from": "gpt",
"value": "1/2"
}
] |
[
{
"from": "human",
"value": "Let x be 0*(-2)/6 - 51. Let c = x - -35. What is the units digit of c/2*-1 + 0?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(63)/(2*sqrt(9)*-2) - sqrt(21)/(5*sqrt(12) - sqrt(3) - sqrt(3)))**2."
},
{
"from": "gpt",
"value": "63/64"
}
] |
[
{
"from": "human",
"value": "Calculate -0.12 + 29522."
},
{
"from": "gpt",
"value": "29521.88"
}
] |
[
{
"from": "human",
"value": "In base 15, what is 35 - -28?"
},
{
"from": "gpt",
"value": "5d"
}
] |
[
{
"from": "human",
"value": "In base 14, what is 3 - 9aa714?"
},
{
"from": "gpt",
"value": "-9aa711"
}
] |
[
{
"from": "human",
"value": "Which is the third biggest value? (a) 3 (b) 5 (c) -3 (d) -2/153 (e) -0.5"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Solve 4*v + n = -21, 2*v + n + 2*n = -13 for v."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let m(k) be the first derivative of -2*k**2 + 3*k + 3. Let s be m(-3). Let x = s - -1. Is 16 a factor of x?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 10, what is -124 - -4?"
},
{
"from": "gpt",
"value": "-120"
}
] |
[
{
"from": "human",
"value": "Solve 352*s = 347*s - 35 for s."
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "Suppose -3*h - 50 = -t, -2*t + 112 = h + 19. Does 20 divide -1 + t - (-6 + 3)?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve 2*j - 2*f = -1 - 5, 2*f - 6 = -2*j for j."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is 2 (base 16) in base 4?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Evaluate (-3)/10*-2*(2 - 7)."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Solve 20 = 9*u + 74 for u."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Do -8 and -13 have the same value?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let a = 0.01 + -0.21. What is the nearest to -1 in 8, -1/4, a?"
},
{
"from": "gpt",
"value": "-1/4"
}
] |
[
{
"from": "human",
"value": "Let g(m) = -240000*m. Let u be g(-2). What is u rounded to the nearest 10000?"
},
{
"from": "gpt",
"value": "480000.0"
}
] |
[
{
"from": "human",
"value": "Let l be (2 + -4)*1/4. What is the smallest value in 3, l, 4/7?"
},
{
"from": "gpt",
"value": "l"
}
] |
[
{
"from": "human",
"value": "Simplify 3 + (sqrt(475) + 4)*-3."
},
{
"from": "gpt",
"value": "-15*sqrt(19) - 9"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 5*u - 5 - 30. What is the highest common divisor of u and 7?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What is 32/7 of a week in hours?"
},
{
"from": "gpt",
"value": "768"
}
] |
[
{
"from": "human",
"value": "Factor 3*t**2 - 1008*t + 3984."
},
{
"from": "gpt",
"value": "3*(t - 332)*(t - 4)"
}
] |
[
{
"from": "human",
"value": "Let o = -0.06 + 0.1. Let b = 0.042 - o. What is b rounded to four decimal places?"
},
{
"from": "gpt",
"value": "0.002"
}
] |
[
{
"from": "human",
"value": "Suppose -2 - 2 = c. Let f = -3 - c. Factor i - i**2 - f + 0*i + 3."
},
{
"from": "gpt",
"value": "-(i - 2)*(i + 1)"
}
] |
[
{
"from": "human",
"value": "Multiply -3 and 0.1."
},
{
"from": "gpt",
"value": "-0.3"
}
] |
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