conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Which is smaller: -4/743 or 1?"
},
{
"from": "gpt",
"value": "-4/743"
}
] |
[
{
"from": "human",
"value": "What is the j'th term of -44, -169, -376, -665?"
},
{
"from": "gpt",
"value": "-41*j**2 - 2*j - 1"
}
] |
[
{
"from": "human",
"value": "Let r = 8 + -7. Let j be r/(3 + (-61)/20). Calculate the remainder when 11 is divided by (-75)/j + 1/4."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is 472 minutes before 8:12 AM?"
},
{
"from": "gpt",
"value": "12:20 AM"
}
] |
[
{
"from": "human",
"value": "Which is greater: -5.8 or -0.1?"
},
{
"from": "gpt",
"value": "-0.1"
}
] |
[
{
"from": "human",
"value": "In base 3, what is 20121 + 202?"
},
{
"from": "gpt",
"value": "21100"
}
] |
[
{
"from": "human",
"value": "Let g(c) = -c**4 + 12*c**3 + 27*c**2 + 19*c - 3. Let a(d) = -3*d**4 + 24*d**3 + 55*d**2 + 39*d - 7. Let r = 6 + -13. Let o(h) = r*g(h) + 3*a(h). Factor o(p)."
},
{
"from": "gpt",
"value": "-2*p*(p + 2)**3"
}
] |
[
{
"from": "human",
"value": "Let x = -57 + 58.86. Let b = x - -0.14. What is the third biggest value in 5/6, -3, b?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 150*g - 155*g - 4 + 3 + 1."
},
{
"from": "gpt",
"value": "-5*g"
}
] |
[
{
"from": "human",
"value": "What is 11477 plus 163?"
},
{
"from": "gpt",
"value": "11640"
}
] |
[
{
"from": "human",
"value": "What is the value of (5 - 11) + 3 + -3 + 1?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let n(c) = 3*c**2 + 1. Let o be -3*(-1 + 16/12). Let u be n(o). Solve -2*t + u = -2*z, -z + 4*t = -1 - 3 for z."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Solve -12 = 9*s - 5*s for s."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Divide 828 by -207."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Is 2 less than or equal to 0.1652?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the third smallest value in -1/12, 203, 7, 3, -2?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Simplify ((1*sqrt(144))/(sqrt(98)*-2 + sqrt(2)))**2."
},
{
"from": "gpt",
"value": "72/169"
}
] |
[
{
"from": "human",
"value": "Let p = -11 - -9. Let v be (-5)/15 + p/(-6). Solve -m - 5*f + 17 = v, 4*f = m + 3*f + 1 for m."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let x = -2 - -17. Is ((-708)/x)/(2/(-5)) prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose 4*w = -2*g - 2, -w + 2*w + 3*g - 2 = 0. Suppose -6 = 2*t, 7 = -4*y + 5*t - 2*t. Which is the biggest value? (a) w (b) y (c) -0.4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the next term in 992, 1991, 2992, 3995?"
},
{
"from": "gpt",
"value": "5000"
}
] |
[
{
"from": "human",
"value": "Let o(r) = -4*r**2 - 6*r. Let d(t) = -t**2 - t. Let f(p) = -30*d(p) + 5*o(p). Let h(i) = -i. Determine h(f(c))."
},
{
"from": "gpt",
"value": "-10*c**2"
}
] |
[
{
"from": "human",
"value": "Is 132137 prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What comes next: 810, 822, 858, 930, 1050, 1230, 1482?"
},
{
"from": "gpt",
"value": "1818"
}
] |
[
{
"from": "human",
"value": "Add -3009979 and -0.3."
},
{
"from": "gpt",
"value": "-3009979.3"
}
] |
[
{
"from": "human",
"value": "Let z be (1 - 1)/(4/(-2)). Suppose z = 5*j + 4*v - 2*v - 83, 2*j + v = 33. Solve -t + 3*c = 9, 3*t + 2*c + 0*c = j for t."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Calculate 13588 divided by -3397."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let n be (1/1)/((-20)/(-16)). Which is the closest to -2/3? (a) 0.4 (b) n (c) -0.3"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Solve a + 8*i = 3*i + 24, -2*a = -4*i + 22 for a."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let d(w) = w**2 + 8*w - 5. Let a be (0 - (-27)/6)*-2. Let g be d(a). Suppose g*t = -0*t + 4. Which is bigger: t or -3/2?"
},
{
"from": "gpt",
"value": "t"
}
] |
[
{
"from": "human",
"value": "What is 145 minutes before 11:51 AM?"
},
{
"from": "gpt",
"value": "9:26 AM"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 2:56 PM and 7:48 PM?"
},
{
"from": "gpt",
"value": "292"
}
] |
[
{
"from": "human",
"value": "Let v(w) = w**2 + w. Suppose -5*y - 1 - 4 = 0. Let x(j) = 5*j**2 + 5*j - 1. Determine y*x(l) + 3*v(l)."
},
{
"from": "gpt",
"value": "-2*l**2 - 2*l + 1"
}
] |
[
{
"from": "human",
"value": "Round 47263000 to the nearest 100000."
},
{
"from": "gpt",
"value": "47300000.0"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(304) + 2 + 3."
},
{
"from": "gpt",
"value": "5 + 4*sqrt(19)"
}
] |
[
{
"from": "human",
"value": "Put 24, 1/2, -2/3 in ascending order."
},
{
"from": "gpt",
"value": "-2/3, 1/2, 24"
}
] |
[
{
"from": "human",
"value": "Let v = 3 + -3. Suppose 0 = -v*d + 2*d - 8. Suppose u + d = -0*u. Put -5, u, -2 in decreasing order."
},
{
"from": "gpt",
"value": "-2, u, -5"
}
] |
[
{
"from": "human",
"value": "Suppose -4*s + 20 = -2*s. Let u be ((-2)/(-5))/(1/s). Solve -u*v + 9*v - 25 = 0 for v."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 1293 is divided by 24."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "Suppose 3*p = -4*n + 23 + 4, -3*n = 2*p - 19. Suppose -3*i + 48 - 18 = 3*s, -32 = -3*i - 4*s. What is the remainder when i is divided by n?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Convert 2.451707km to nanometers."
},
{
"from": "gpt",
"value": "2451707000000"
}
] |
[
{
"from": "human",
"value": "Determine t, given that 2*t**4/7 - 276*t**3 + 88872*t**2 - 9538928*t = 0."
},
{
"from": "gpt",
"value": "0, 322"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 1? (a) -1/2 (b) -0.7 (c) -2/9"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-6)/(-4))/(1/(-2))*1."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Solve 2*c**5 - 22*c**4 - 106*c**3 + 302*c**2 + 104*c - 280 = 0 for c."
},
{
"from": "gpt",
"value": "-5, -1, 1, 2, 14"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 1/4? (a) -2/11 (b) 0.1 (c) -2/5 (d) 5"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of 129*a**2*j**3 - 207*a*j + j**3 - 1 wrt a."
},
{
"from": "gpt",
"value": "258*j**3"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 1161337 is divided by 5028?"
},
{
"from": "gpt",
"value": "4897"
}
] |
[
{
"from": "human",
"value": "What is the a'th term of 58, 66, 74, 82?"
},
{
"from": "gpt",
"value": "8*a + 50"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(20)/sqrt(4) + -3 + sqrt(5)*-1 + 3."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 30 is divided by 10 + 3 - (2 + -6)?"
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Simplify 6*1*sqrt(931)*-2."
},
{
"from": "gpt",
"value": "-84*sqrt(19)"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -3/4 in -1/4, 2/11, 1/2?"
},
{
"from": "gpt",
"value": "-1/4"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -2*g**3*h*p**2 - 2*g**3*h*p - g**3*h + 2*g**2*h*p**2 + 2*g**2 - g*h*p + 287*g wrt g?"
},
{
"from": "gpt",
"value": "-12*h*p**2 - 12*h*p - 6*h"
}
] |
[
{
"from": "human",
"value": "What is (16/5 + 6 + -9)/1?"
},
{
"from": "gpt",
"value": "1/5"
}
] |
[
{
"from": "human",
"value": "-2*(9/10)/3*20/90"
},
{
"from": "gpt",
"value": "-2/15"
}
] |
[
{
"from": "human",
"value": "What is 72 divided by -8?"
},
{
"from": "gpt",
"value": "-9"
}
] |
[
{
"from": "human",
"value": "Let p = -1.3 - 3.7. Let f = -1 - 6. Which is the smallest value? (a) f (b) p (c) 4"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -63*l**2 + 484*l - 14*l**2 - 484*l."
},
{
"from": "gpt",
"value": "-77*l**2"
}
] |
[
{
"from": "human",
"value": "Suppose 3*j - 16 = -7, t = 4*j - 4. Let v = -6 + t. Suppose v*m = 7*m - 50. Is m a multiple of 7?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 825 is divided by 59?"
},
{
"from": "gpt",
"value": "58"
}
] |
[
{
"from": "human",
"value": "Let c(m) = 5 - 16*m. Let q = 13 - 17. Let f be c(q). Calculate the greatest common factor of 23 and f."
},
{
"from": "gpt",
"value": "23"
}
] |
[
{
"from": "human",
"value": "Suppose v = -5*v + 114. Let b = -22 + v. Sort b, 1, -1."
},
{
"from": "gpt",
"value": "b, -1, 1"
}
] |
[
{
"from": "human",
"value": "Calculate (-3)/(2/3*(-15)/(-10))."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "2*-0.6"
},
{
"from": "gpt",
"value": "-1.2"
}
] |
[
{
"from": "human",
"value": "Express c**3 + 2171*c - 3*c**4 - 30 - 2172*c - 3 - 2*c**2 in the form y*c**3 + n + p*c**4 + r*c**2 + z*c and give z."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let z(p) be the first derivative of 8*p**3/3 + 2*p + 1. What is the first derivative of z(j) wrt j?"
},
{
"from": "gpt",
"value": "16*j"
}
] |
[
{
"from": "human",
"value": "What is 429 minutes before 3:59 AM?"
},
{
"from": "gpt",
"value": "8:50 PM"
}
] |
[
{
"from": "human",
"value": "What is the common denominator of -51/3248 and -21/29?"
},
{
"from": "gpt",
"value": "3248"
}
] |
[
{
"from": "human",
"value": "In base 14, what is 2 - 83?"
},
{
"from": "gpt",
"value": "-81"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -3*f*r**4*y - f*r**4 + 5*f*r*t**2*y + 2*r**4*t**2 - 5*r**2*t**2 + 3*r*y wrt r."
},
{
"from": "gpt",
"value": "-72*f*r*y - 24*f*r + 48*r*t**2"
}
] |
[
{
"from": "human",
"value": "Evaluate (-3)/10*-2*(2 - 7)."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "In base 8, what is -1 - -1056?"
},
{
"from": "gpt",
"value": "1055"
}
] |
[
{
"from": "human",
"value": "Solve 7/2*x - 21/2*x**3 + 0 - x**5 - 1/2*x**2 + 17/2*x**4 = 0 for x."
},
{
"from": "gpt",
"value": "-1/2, 0, 1, 7"
}
] |
[
{
"from": "human",
"value": "Round -0.00033265 to 6 dps."
},
{
"from": "gpt",
"value": "-0.000333"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0.05? (a) 3 (b) -6 (c) -5 (d) 2/13"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 3*f - 4 - 18 - 4 + 3."
},
{
"from": "gpt",
"value": "3*f - 23"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(612) + -5*(sqrt(612) + 2*sqrt(612) + sqrt(612)) + -3*(sqrt(612) - (2 + sqrt(612))))**2."
},
{
"from": "gpt",
"value": "220968 - 1368*sqrt(17)"
}
] |
[
{
"from": "human",
"value": "What is the product of -0.3055 and -0.2?"
},
{
"from": "gpt",
"value": "0.0611"
}
] |
[
{
"from": "human",
"value": "What is the d'th term of -3892, -7790, -11688, -15586, -19484?"
},
{
"from": "gpt",
"value": "6 - 3898*d"
}
] |
[
{
"from": "human",
"value": "What is the d'th term of 69, 72, 75, 78, 81?"
},
{
"from": "gpt",
"value": "3*d + 66"
}
] |
[
{
"from": "human",
"value": "What is next in -344, -347, -352, -359, -368, -379, -392?"
},
{
"from": "gpt",
"value": "-407"
}
] |
[
{
"from": "human",
"value": "Let f(w) be the first derivative of w**6/5 - 3*w**5/5 + 9*w**4/20 + w**3/5 - 3*w**2/10 - 7. Let f(v) = 0. Calculate v."
},
{
"from": "gpt",
"value": "-1/2, 0, 1"
}
] |
[
{
"from": "human",
"value": "112 divided by -769"
},
{
"from": "gpt",
"value": "-112/769"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 62085."
},
{
"from": "gpt",
"value": "3, 5, 4139"
}
] |
[
{
"from": "human",
"value": "Suppose n**4 + 5*n**3 + 60*n - 20*n**3 - 31*n**2 - 2*n**2 + 29*n**2 = 0. What is n?"
},
{
"from": "gpt",
"value": "-2, 0, 2, 15"
}
] |
[
{
"from": "human",
"value": "Suppose 0*t + 15 = 5*t. Suppose -17 - 7 = -t*c. Calculate the remainder when c is divided by 5."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What comes next: -755, -758, -763, -770, -779, -790, -803?"
},
{
"from": "gpt",
"value": "-818"
}
] |
[
{
"from": "human",
"value": "What is the k'th term of -147, -145, -143?"
},
{
"from": "gpt",
"value": "2*k - 149"
}
] |
[
{
"from": "human",
"value": "What is 4 divided by -3098?"
},
{
"from": "gpt",
"value": "-2/1549"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 133 is divided by 71?"
},
{
"from": "gpt",
"value": "62"
}
] |
[
{
"from": "human",
"value": "Solve 44 = 4*r + 52 for r."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is the k'th term of 76, 64, 46, 28, 16?"
},
{
"from": "gpt",
"value": "k**3 - 9*k**2 + 8*k + 76"
}
] |
[
{
"from": "human",
"value": "Let t(m) = -m**3 - 5*m**2 - m - 6. Let w be t(-5). Let p(s) = 669999*s**3 - 2*s**2 + 1. Let j be p(w). Round j to the nearest 100000."
},
{
"from": "gpt",
"value": "-700000.0"
}
] |
[
{
"from": "human",
"value": "Let u(f) = -f**2 - 11*f + 9. Let s be u(-11). Suppose 2*x + s = o + 5*x, -o = -x + 3. Find the first derivative of j**3 + 2*j**3 + o*j**3 - 3 wrt j."
},
{
"from": "gpt",
"value": "9*j**2"
}
] |
[
{
"from": "human",
"value": "Determine z, given that 2*z**3 - 36*z**2 - 168*z - 176 = 0."
},
{
"from": "gpt",
"value": "-2, 22"
}
] |
[
{
"from": "human",
"value": "Suppose -5*i - 3 = 4*j - 2, -21 = -3*i + 3*j. Suppose i = -4*l + 11. Solve -l*d - 29 = -5*w, 7*d - 3*d = -5*w + 17 for w."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let d(p) = -p**3 - 4*p**2 - p + 2. Let o(v) = -v**3 - 3*v**2 - 2*v + 2. Let q(f) = 4*d(f) - 3*o(f). Let w be q(-7). Is (0 + 14)*(-18)/w a composite number?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let d(b) = b**3 - 9*b**2 + 3*b + 43. Let k be d(8). Factor 0*l - 1/3*l**k - 2/3*l**2 + 0."
},
{
"from": "gpt",
"value": "-l**2*(l + 2)/3"
}
] |
[
{
"from": "human",
"value": "What is 428 minutes after 12:56 AM?"
},
{
"from": "gpt",
"value": "8:04 AM"
}
] |
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