conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Find v such that -2*v**5 - 44*v**4 - 138*v**3 + 128*v**2 + 344*v - 288 = 0."
},
{
"from": "gpt",
"value": "-18, -4, -2, 1"
}
] |
[
{
"from": "human",
"value": "Solve t - 5361 = -5358 for t."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let k = -0.1 - 1.9. Let z be (-12)/16 + (-46)/(-40). Is k greater than z?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let o = 23 - 26. Which is the fourth smallest value? (a) 1/4 (b) -0.2 (c) -0.1 (d) o"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose 16 = -4*q + 3*g + 416, -300 = -3*q - 5*g. Is 10 a factor of q?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 375 is divided by 47?"
},
{
"from": "gpt",
"value": "46"
}
] |
[
{
"from": "human",
"value": "Determine z so that -3*z**2 - 5400*z - 2430000 = 0."
},
{
"from": "gpt",
"value": "-900"
}
] |
[
{
"from": "human",
"value": "Simplify -1*(sqrt(28)/(sqrt(4) + sqrt(4) + sqrt(4)*-2 + sqrt(4)))**2 + -5."
},
{
"from": "gpt",
"value": "-12"
}
] |
[
{
"from": "human",
"value": "Suppose -2*y + 3 = 5*h + 1, 0 = -3*y - 2*h + 14. Calculate the greatest common divisor of 24 and y."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Factor 2*r**4 + 40*r**3 - 356*r**2 + 584*r - 270."
},
{
"from": "gpt",
"value": "2*(r - 5)*(r - 1)**2*(r + 27)"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -26*f + 0 + 2 - 2."
},
{
"from": "gpt",
"value": "-26*f"
}
] |
[
{
"from": "human",
"value": "Round 0.3823 to one dp."
},
{
"from": "gpt",
"value": "0.4"
}
] |
[
{
"from": "human",
"value": "Suppose j**2 + 5860*j + 8584900 = 0. Calculate j."
},
{
"from": "gpt",
"value": "-2930"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of 10674, 10657, 10648, 10647, 10654?"
},
{
"from": "gpt",
"value": "4*p**2 - 29*p + 10699"
}
] |
[
{
"from": "human",
"value": "What is 204 minutes before 12:41 PM?"
},
{
"from": "gpt",
"value": "9:17 AM"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(684) + 0)*2*3."
},
{
"from": "gpt",
"value": "36*sqrt(19)"
}
] |
[
{
"from": "human",
"value": "Let j = -5.3 - -5.3. Which is the closest to j? (a) -2/7 (b) 33 (c) -5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is 299 divided by 6?"
},
{
"from": "gpt",
"value": "299/6"
}
] |
[
{
"from": "human",
"value": "What is -2440000 rounded to the nearest one million?"
},
{
"from": "gpt",
"value": "-2000000.0"
}
] |
[
{
"from": "human",
"value": "-3*(-15)/(-18)*-2"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is 585 minutes after 11:34 PM?"
},
{
"from": "gpt",
"value": "9:19 AM"
}
] |
[
{
"from": "human",
"value": "Is 13446 a multiple of 39?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose -2*i = 4*r - 460, 71 = 2*r - 5*i - 159. Does 19 divide r?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve -13*p = 5*t - 8*p + 15, 2*t = -4*p - 10 for t."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1 in 2/3, -1/4, -0.1, 1?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 10:52 AM and 7:00 PM?"
},
{
"from": "gpt",
"value": "488"
}
] |
[
{
"from": "human",
"value": "Which is bigger: 71 or 75?"
},
{
"from": "gpt",
"value": "75"
}
] |
[
{
"from": "human",
"value": "Let s be -2 + -16 - 6/3. Let b = s + 5. What is the units digit of b/(-21) - (-4)/14?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Put 6, 40, 0 in increasing order."
},
{
"from": "gpt",
"value": "0, 6, 40"
}
] |
[
{
"from": "human",
"value": "Solve 5*d = 3*b + 35, -3*d = 3*b + 2 + 1 for d."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 366 minutes before 5:12 PM?"
},
{
"from": "gpt",
"value": "11:06 AM"
}
] |
[
{
"from": "human",
"value": "What is the cube root of 110561 to the nearest integer?"
},
{
"from": "gpt",
"value": "48"
}
] |
[
{
"from": "human",
"value": "How many seconds are there in 7/3 of a hour?"
},
{
"from": "gpt",
"value": "8400"
}
] |
[
{
"from": "human",
"value": "Calculate 19510 - 2."
},
{
"from": "gpt",
"value": "19508"
}
] |
[
{
"from": "human",
"value": "Suppose 4*r + 0*c - 22 = 5*c, r + 3*c = -3. Solve 0 = r*v - 8 + 2 for v."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Suppose 4 = -w - 1. Put 2, 3, w in decreasing order."
},
{
"from": "gpt",
"value": "3, 2, w"
}
] |
[
{
"from": "human",
"value": "Let l(v) be the first derivative of v**6/18 - 4*v**5/15 + v**4/2 - 4*v**3/9 + v**2/6 - 7. Factor l(n)."
},
{
"from": "gpt",
"value": "n*(n - 1)**4/3"
}
] |
[
{
"from": "human",
"value": "Simplify 5*(-2 + (sqrt(120)/sqrt(6))**2)."
},
{
"from": "gpt",
"value": "90"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common factor of 3268 and 14979809."
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Let i = -60 + 76. Does 33/2 = i?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let i(p) = p**2 + 8*p. Let h be i(-7). Let x(l) = l + 8. Calculate x(h)."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let b(x) = 3*x - 20. Let j be b(9). Is 7 at most as big as j?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of -176, -747, -1698, -3029, -4740?"
},
{
"from": "gpt",
"value": "-190*p**2 - p + 15"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) 0.1 (b) -0.08 (c) 0.4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "8/9*(-3)/(-8)*-2"
},
{
"from": "gpt",
"value": "-2/3"
}
] |
[
{
"from": "human",
"value": "Let q(b) = -b - 3. Suppose 1 = -4*w - 15. Let f = w - 2. What is the units digit of q(f)?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is 107 minutes before 4:46 AM?"
},
{
"from": "gpt",
"value": "2:59 AM"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-1)/(-15) - -2) + 35/(-21)."
},
{
"from": "gpt",
"value": "2/5"
}
] |
[
{
"from": "human",
"value": "Calculate (((-5)/3)/5)/(65/39)."
},
{
"from": "gpt",
"value": "-1/5"
}
] |
[
{
"from": "human",
"value": "-0.06 * -175"
},
{
"from": "gpt",
"value": "10.5"
}
] |
[
{
"from": "human",
"value": "In base 5, what is 10 - 3413?"
},
{
"from": "gpt",
"value": "-3403"
}
] |
[
{
"from": "human",
"value": "Simplify s/(s/s**(2/7))*s**(6/7) assuming s is positive."
},
{
"from": "gpt",
"value": "s**(8/7)"
}
] |
[
{
"from": "human",
"value": "What is the t'th term of 11156, 11152, 11148, 11144, 11140?"
},
{
"from": "gpt",
"value": "11160 - 4*t"
}
] |
[
{
"from": "human",
"value": "Factor 10/3 - 16/5*v - 2/15*v**2."
},
{
"from": "gpt",
"value": "-2*(v - 1)*(v + 25)/15"
}
] |
[
{
"from": "human",
"value": "Let k = 144.52 - 154. Let y = -10 - k. Round y to 1 decimal place."
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "What is -92 divided by -1?"
},
{
"from": "gpt",
"value": "92"
}
] |
[
{
"from": "human",
"value": "Let s(j) be the first derivative of -j**4/8 - j**3/2 - 3*j**2/4 - j/2 + 1. Factor s(m)."
},
{
"from": "gpt",
"value": "-(m + 1)**3/2"
}
] |
[
{
"from": "human",
"value": "What is next in -363, -374, -391, -414, -443, -478?"
},
{
"from": "gpt",
"value": "-519"
}
] |
[
{
"from": "human",
"value": "Evaluate 1 + 0 + -22 + 13."
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "Let p = 0.42 + -0.02. Let g = p - 4.4. Let m = g + 4.1. Which is the nearest to m? (a) 0.2 (b) 2/5 (c) 1/3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose 6*v + 12 = 2*x + 2*v, 30 = -5*x - 5*v. Let s = 19/9 + x. Does s = 0?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let u(k) be the second derivative of 7*k**5/120 + 5*k**4/24 - k**3/6 - 6*k. Let p(j) be the second derivative of u(j). Differentiate p(z) with respect to z."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 7:36 AM and 4:54 PM?"
},
{
"from": "gpt",
"value": "558"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 307 and 73987?"
},
{
"from": "gpt",
"value": "307"
}
] |
[
{
"from": "human",
"value": "Let l(m) = -3*m. Let s(v) = 6*v. Let x(g) = 5*l(g) + 3*s(g). Let a(c) = -6*c. What is -3*a(d) - 5*x(d)?"
},
{
"from": "gpt",
"value": "3*d"
}
] |
[
{
"from": "human",
"value": "Let f be (0 - 2/6)*135/18. Which is the fourth smallest value? (a) -0.3 (b) 5 (c) f (d) -4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Divide 1625 by -325."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is the next term in 70, 124, 178, 232?"
},
{
"from": "gpt",
"value": "286"
}
] |
[
{
"from": "human",
"value": "What is the closest to 9 in -3/2, -76, -2?"
},
{
"from": "gpt",
"value": "-3/2"
}
] |
[
{
"from": "human",
"value": "Which is the third biggest value? (a) 2/9 (b) -65/24 (c) -0.1 (d) 37"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Find j such that -4/7 + 2/7*j**5 + 4/7*j**2 - 8/7*j**3 + 6/7*j + 0*j**4 = 0."
},
{
"from": "gpt",
"value": "-2, -1, 1"
}
] |
[
{
"from": "human",
"value": "Suppose 13 = -3*j + 4. Let w = 2 - 2. Let f be (-1 + w)*(-1 + 2). Sort 0, f, j."
},
{
"from": "gpt",
"value": "j, f, 0"
}
] |
[
{
"from": "human",
"value": "Solve -m**3 + 29*m**2 - 275*m + 847 = 0."
},
{
"from": "gpt",
"value": "7, 11"
}
] |
[
{
"from": "human",
"value": "What comes next: -27, -180, -393, -660, -975?"
},
{
"from": "gpt",
"value": "-1332"
}
] |
[
{
"from": "human",
"value": "Sum 5.5 and -0.67."
},
{
"from": "gpt",
"value": "4.83"
}
] |
[
{
"from": "human",
"value": "What is the q'th term of 25, 40, 71, 124, 205, 320, 475, 676?"
},
{
"from": "gpt",
"value": "q**3 + 2*q**2 + 2*q + 20"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 22*k - 23*k + 9. What is the least common multiple of k and 9?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Let i(k) = 7*k**3 - 2*k**2 + k. Let b be i(1). Suppose -b*t + 2442 = -3*t. Suppose 0 = -q + 3*p - p + 161, p = 5*q - t. Is q a prime number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the units digit of 3771?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let u = 67 - 66. Sort -0.3, -73, u."
},
{
"from": "gpt",
"value": "-73, -0.3, u"
}
] |
[
{
"from": "human",
"value": "Is 23870 a multiple of 14?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Factor -3/2*t**4 - 2*t - 6*t**2 - 11/2*t**3 + 0."
},
{
"from": "gpt",
"value": "-t*(t + 1)*(t + 2)*(3*t + 2)/2"
}
] |
[
{
"from": "human",
"value": "Sort -5, -2, -142."
},
{
"from": "gpt",
"value": "-142, -5, -2"
}
] |
[
{
"from": "human",
"value": "Evaluate 42/56*((-480)/27)/8."
},
{
"from": "gpt",
"value": "-5/3"
}
] |
[
{
"from": "human",
"value": "Simplify 3 + (sqrt(1188) - sqrt(33))/sqrt(3)."
},
{
"from": "gpt",
"value": "3 + 5*sqrt(11)"
}
] |
[
{
"from": "human",
"value": "0.03127 * -0.3"
},
{
"from": "gpt",
"value": "-0.009381"
}
] |
[
{
"from": "human",
"value": "Solve 120 = -22*r - 2*r for r."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "730 divided by -2"
},
{
"from": "gpt",
"value": "-365"
}
] |
[
{
"from": "human",
"value": "Work out -0.7 * -520."
},
{
"from": "gpt",
"value": "364"
}
] |
[
{
"from": "human",
"value": "Solve -a = -f + 2, -3*a - 4*f + 5 = 32 for a."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let c(b) = -24*b - 6. Let i be c(-6). Let w = 3 - 1. Suppose i = 4*x - w*z - 80, -z + 103 = 2*x. Is x prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let z = 11 - 5. Suppose 4*i - z = 6. Let w = i - -11. Is w a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -1/2 or -1.73?"
},
{
"from": "gpt",
"value": "-1.73"
}
] |
[
{
"from": "human",
"value": "In base 16, what is -3 + -16b?"
},
{
"from": "gpt",
"value": "-16e"
}
] |
[
{
"from": "human",
"value": "Let j(o) = -5*o - 154. Let h(z) = 1 - 2*z. Give -3*h(w) + j(w)."
},
{
"from": "gpt",
"value": "w - 157"
}
] |
[
{
"from": "human",
"value": "Solve 3*u - m + 7 = 0, 4*u - 2*u + 3*m + 1 = 0 for u."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Is 1939471 a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What comes next: -270, -247, -200, -123, -10, 145, 348, 605?"
},
{
"from": "gpt",
"value": "922"
}
] |
[
{
"from": "human",
"value": "Suppose -8 = 2*y - 6*y. Suppose y*k + 0*k = -200000. Round k to the nearest 100000."
},
{
"from": "gpt",
"value": "-100000.0"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 545?"
},
{
"from": "gpt",
"value": "5, 109"
}
] |
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