conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Suppose -3*c = -2*t + 100, 2*c + c = 0. What is the lowest common multiple of t and 10?"
},
{
"from": "gpt",
"value": "50"
}
] |
[
{
"from": "human",
"value": "In base 4, what is -3 + -3010?"
},
{
"from": "gpt",
"value": "-3013"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 218, 2, 7/3?"
},
{
"from": "gpt",
"value": "7/3"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -89*p + 21*p**3 - 13*p**3 - 9*p**3."
},
{
"from": "gpt",
"value": "-p**3 - 89*p"
}
] |
[
{
"from": "human",
"value": "(210/28)/((-6)/(-4))"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the thousands digit of (-8)/(-24)*(8/28 + (-152374)/(-7))?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Solve -u + 8 = 4*v + 2*u, 0 = -3*v + 3*u + 6 for v."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Express z + 10*z**2 - 13*z**2 - 2*z**3 - 1 + 3 in the form k + j*z**2 + n*z + p*z**3 and give p."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "In base 8, what is 243 - 3?"
},
{
"from": "gpt",
"value": "240"
}
] |
[
{
"from": "human",
"value": "-0.548*5"
},
{
"from": "gpt",
"value": "-2.74"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) -1 (b) -0.1 (c) 0.2 (d) 4"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Let u = -2 - -8.1. Let h = u - -1.9. Let z = 11 - h. Put 0, z, -2 in descending order."
},
{
"from": "gpt",
"value": "z, 0, -2"
}
] |
[
{
"from": "human",
"value": "What is next in -115, -192, -269?"
},
{
"from": "gpt",
"value": "-346"
}
] |
[
{
"from": "human",
"value": "Is 92517 a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is (10/(-3) - -1)/((-1)/3)?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Let a be -3 + (-3)/(6/(-10)). List the prime factors of 7 + a*(-6)/4."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the j'th term of 94, 556, 1332, 2428, 3850, 5604, 7696?"
},
{
"from": "gpt",
"value": "j**3 + 151*j**2 + 2*j - 60"
}
] |
[
{
"from": "human",
"value": "Suppose -12 = -4*m + 2*j - 6*j, -2*m - 3*j + 9 = 0. Suppose -y - 10 = -2*q, -3*y - 4*q = -m*q - 20. Suppose t - 4 + 2 = y. Is t at most 2?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 3*r - 5*j - 1112, 2*j = -18*r + 14*r + 1500. What is the highest common divisor of 153 and r?"
},
{
"from": "gpt",
"value": "17"
}
] |
[
{
"from": "human",
"value": "Let d = -2.8 + 3. Let l = d - 0.7. Let g = -0.2 + 0.1. What is the nearest to g in l, 0.4, -3?"
},
{
"from": "gpt",
"value": "l"
}
] |
[
{
"from": "human",
"value": "Suppose -2*o = -a + 3*a, -2*o = -2*a. Solve a*n - 7*n**3 - 2*n - 3*n**2 - 6*n**2 = 0 for n."
},
{
"from": "gpt",
"value": "-1, -2/7, 0"
}
] |
[
{
"from": "human",
"value": "What is the closest to -1 in 3, -2, -13, -0.1?"
},
{
"from": "gpt",
"value": "-0.1"
}
] |
[
{
"from": "human",
"value": "Let r(f) be the third derivative of f**6/120 - f**5/20 - f**4/6 + f**3/2 + f**2. Let g be r(4). Solve 13 = -5*i - h - h, -i = g*h for i."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Multiply 0.0807 and 357."
},
{
"from": "gpt",
"value": "28.8099"
}
] |
[
{
"from": "human",
"value": "Let y(h) = 3*h + h**3 - 3 + 2 - 4 + 4 - 2*h**2. Let o be y(2). Let f = -3 + o. Solve 3*v - d + 1 = -f, -4*v = 2*d + 14 for v."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 64 and 204?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of 5*t**4 - t**3*y**2 - 6*t**3*y + 458*t**2*y**2 wrt t."
},
{
"from": "gpt",
"value": "120*t - 6*y**2 - 36*y"
}
] |
[
{
"from": "human",
"value": "Solve 9*i - s + 3 = 7*i, -i - 4*s = -12 for i."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 3:49 AM and 1:05 PM?"
},
{
"from": "gpt",
"value": "556"
}
] |
[
{
"from": "human",
"value": "What is 1072 to the power of 1/8, to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "In base 12, what is 4 + 4?"
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "Simplify -3 + -3*(sqrt(39)/sqrt(3) + -1)."
},
{
"from": "gpt",
"value": "-3*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Solve 13*v + 80 = -7*v for v."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose -270 = -3*g - 3*q, -4*q + 254 = 2*g + 66. What is the units digit of g?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in -0.2, 19, -2, 4?"
},
{
"from": "gpt",
"value": "-0.2"
}
] |
[
{
"from": "human",
"value": "Let d = -10 - -17. What is the remainder when d is divided by 5?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Put -1, 17, 157536, -2 in ascending order."
},
{
"from": "gpt",
"value": "-2, -1, 17, 157536"
}
] |
[
{
"from": "human",
"value": "Factor 18*k**3 + 2995 - 726*k**2 - 9322 - 8759 + 8288*k - 3730."
},
{
"from": "gpt",
"value": "2*(k - 3)*(3*k - 56)**2"
}
] |
[
{
"from": "human",
"value": "What is the next term in -90, -160, -212, -246?"
},
{
"from": "gpt",
"value": "-262"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -19? (a) 0 (b) -3 (c) 27"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Simplify 1*sqrt(5) + -1 - (sqrt(5) + sqrt(5) + ((sqrt(245)*-1)**2 - sqrt(245) - sqrt(245)))."
},
{
"from": "gpt",
"value": "-246 + 13*sqrt(5)"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 2? (a) 5 (b) -0.028 (c) -2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is next in 87, 279, 591, 1029, 1599, 2307, 3159?"
},
{
"from": "gpt",
"value": "4161"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 33748 is divided by 1054."
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "What is 91 minutes before 2:51 AM?"
},
{
"from": "gpt",
"value": "1:20 AM"
}
] |
[
{
"from": "human",
"value": "Let s be 500/18 + (-8)/(-36). Suppose 4*t = -8 + s. Find the second derivative of 0*n**t + n**5 - 2*n - 3*n**5 wrt n."
},
{
"from": "gpt",
"value": "-40*n**3"
}
] |
[
{
"from": "human",
"value": "Calculate (-10 - -6) + 1 + (1 - 5)."
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "Suppose 2*z + 104 = 4*g - 306, -z - 409 = -4*g. What is the tens digit of g?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Is 5807 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let c = -7 + 9. Let a be ((5 - 2) + -2)*5. Solve -c = -t + 4*x, 8*x + a = -t + 5*x for t."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Calculate -74.5 + -1.8."
},
{
"from": "gpt",
"value": "-76.3"
}
] |
[
{
"from": "human",
"value": "Let s(q) = 10*q**3 + 5*q**2 - 8*q + 4. Is 16 a factor of s(3)?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "6 divided by 205"
},
{
"from": "gpt",
"value": "6/205"
}
] |
[
{
"from": "human",
"value": "Solve -5*q + 2 = -4*q for q."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Factor 6*h**3 - 140*h**2 + 608*h - 576."
},
{
"from": "gpt",
"value": "2*(h - 18)*(h - 4)*(3*h - 4)"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -0.1? (a) 4 (b) -0.4 (c) 3/7 (d) 23"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let f = -32 - -36. Let l = 3/8 + -23/40. What is the smallest value in 1, f, l?"
},
{
"from": "gpt",
"value": "l"
}
] |
[
{
"from": "human",
"value": "Let h(r) = r + 26. Give h(-16)."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Suppose 3*m = 15, 4*m - 8 - 7 = -q. Let f = q - -1. Sort -5, -3, f in ascending order."
},
{
"from": "gpt",
"value": "-5, f, -3"
}
] |
[
{
"from": "human",
"value": "Let 4*i**5/11 - 2*i**4/11 - 2*i**3 - 2*i**2 - 6*i/11 = 0. Calculate i."
},
{
"from": "gpt",
"value": "-1, -1/2, 0, 3"
}
] |
[
{
"from": "human",
"value": "Simplify 6*(sqrt(162)*-1 + sqrt(162))**2 + -2*(sqrt(162)*-2)**2 + -5."
},
{
"from": "gpt",
"value": "-1301"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -2.6? (a) 0.4 (b) 1 (c) -4 (d) 6"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is next in 184, 202, 228, 268, 328, 414, 532, 688?"
},
{
"from": "gpt",
"value": "888"
}
] |
[
{
"from": "human",
"value": "Put -8, 290, 0 in descending order."
},
{
"from": "gpt",
"value": "290, 0, -8"
}
] |
[
{
"from": "human",
"value": "In base 10, what is 4 + -35665?"
},
{
"from": "gpt",
"value": "-35661"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 306 is divided by 26?"
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 6022?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let j(h) = -2*h - 7. Let t(k) = -k**3 + 7*k**2 + 8*k - 5. Let d be t(8). Let o be j(d). Sort -1, o, -4."
},
{
"from": "gpt",
"value": "-4, -1, o"
}
] |
[
{
"from": "human",
"value": "Let k(v) = v**2 - 7*v - 8. Let s be k(8). Solve 0*b + 4*b + 16 = s for b."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Is 2317/6 bigger than 0.2?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -34 in 1, -2/9, -0.5?"
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "What comes next: -10582, -10594, -10620, -10666, -10738, -10842, -10984, -11170?"
},
{
"from": "gpt",
"value": "-11406"
}
] |
[
{
"from": "human",
"value": "Solve 3 - 13 = -2*q, -1 = -m - q for m."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let l be 399/(-27) + (-4)/18. Let f be 6/l*10/(-1). Suppose n = -5*s + 3*n + 17, -2*n = -f*s + 12. List the prime factors of s."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Determine f, given that -16*f**4/5 + 4*f**3/5 + 16*f**2/5 - 4*f/5 = 0."
},
{
"from": "gpt",
"value": "-1, 0, 1/4, 1"
}
] |
[
{
"from": "human",
"value": "What is the units digit of 48633?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let r = -0.103 + -1.897. Which is the second biggest value? (a) 0.1 (b) -0.07 (c) r"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let z = -0.4 + 1.37. Let m = -3 - -2.97. Let t = z - m. What is the second biggest value in -1, t, -2/5?"
},
{
"from": "gpt",
"value": "-2/5"
}
] |
[
{
"from": "human",
"value": "Let a(d) = 2*d. Let j(x) = 86 - 6*x. Give a(j(u))."
},
{
"from": "gpt",
"value": "172 - 12*u"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -0.08? (a) -5 (b) -47 (c) -0.3 (d) 3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "-3578 divided by 2"
},
{
"from": "gpt",
"value": "-1789"
}
] |
[
{
"from": "human",
"value": "Let p(t) = -t**2 + 26*t - 20. Is p(9) a multiple of 7?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let i(a) = -a**2 - 3*a - 1. Let o(h) = 676*h**2 + 15*h - 52. Let j(y) = -10*i(y) - 2*o(y). Differentiate j(n) with respect to n."
},
{
"from": "gpt",
"value": "-2684*n"
}
] |
[
{
"from": "human",
"value": "-10 (base 2) to base 13"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let r = -1 - -4. Suppose -99 = -t - 5*i, 8*i - 25 = r*i. Is t composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let p(o) = o - 1. Let f(w) = w**3 - 7*w**2 + 1. Let q be f(7). Let y(x) = -x**2 + 8*x - 8. What is q*y(j) - 6*p(j)?"
},
{
"from": "gpt",
"value": "-j**2 + 2*j - 2"
}
] |
[
{
"from": "human",
"value": "Solve -2*o - 2*o - 164 + 79 = h, 0 = -3*h - 0*h - 35*o - 738 for h."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Simplify (-1 + sqrt(468) + sqrt(468))**2 + (sqrt(65) + (sqrt(65)*-5 - sqrt(65)) + sqrt(65) + sqrt(65))/sqrt(5)."
},
{
"from": "gpt",
"value": "1873 - 27*sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Let p be 108/(-6)*(-4)/6. Solve 2*z + 5*r + p = 2*r, 5*z + 4*r + 16 = 0 for z."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is -3 times -0.023?"
},
{
"from": "gpt",
"value": "0.069"
}
] |
[
{
"from": "human",
"value": "Determine p so that -2*p**3/7 - 144*p**2/7 - 142*p/7 = 0."
},
{
"from": "gpt",
"value": "-71, -1, 0"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 22726348."
},
{
"from": "gpt",
"value": "2, 17, 31, 10781"
}
] |
[
{
"from": "human",
"value": "Is 24 a factor of 286?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let y be ((-108)/48)/((-3)/8). Suppose 0 = y*x - x. Factor -1/5*j**2 + x*j + 1/5."
},
{
"from": "gpt",
"value": "-(j - 1)*(j + 1)/5"
}
] |
[
{
"from": "human",
"value": "What is the sixth root of 1421 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Differentiate 321*y**2 - 93*y - 128722 wrt y."
},
{
"from": "gpt",
"value": "642*y - 93"
}
] |
[
{
"from": "human",
"value": "Let y = 0 + 2. Calculate the remainder when 2 + 4*2/8 is divided by y."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is next in 7, 27, 83, 193, 375, 647, 1027?"
},
{
"from": "gpt",
"value": "1533"
}
] |
[
{
"from": "human",
"value": "What is 630 minutes before 12:03 AM?"
},
{
"from": "gpt",
"value": "1:33 PM"
}
] |
[
{
"from": "human",
"value": "Solve -2*g**4/5 + 22*g**3/5 - 4*g**2 = 0 for g."
},
{
"from": "gpt",
"value": "0, 1, 10"
}
] |
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