conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Convert -20 (base 7) to base 2."
},
{
"from": "gpt",
"value": "-1110"
}
] |
[
{
"from": "human",
"value": "Factor d**2/7 + 51*d/7."
},
{
"from": "gpt",
"value": "d*(d + 51)/7"
}
] |
[
{
"from": "human",
"value": "Let d = 70.9 - 67. Let c = -0.72 + -1.18. Let v = c + d. What is the biggest value in v, 5, -0.2?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Factor 3*q**5/7 - 240*q**4/7 + 5256*q**3/7 - 18240*q**2/7 + 17328*q/7."
},
{
"from": "gpt",
"value": "3*q*(q - 38)**2*(q - 2)**2/7"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -2? (a) -45 (b) 1/4 (c) 0.1 (d) 5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Factor 4*h**2/3 + 184*h + 6348."
},
{
"from": "gpt",
"value": "4*(h + 69)**2/3"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 4040 is divided by 88?"
},
{
"from": "gpt",
"value": "80"
}
] |
[
{
"from": "human",
"value": "What is the value of 2/3*9/(-28)*2?"
},
{
"from": "gpt",
"value": "-3/7"
}
] |
[
{
"from": "human",
"value": "Suppose -z + 5*h + 590265 = 3340245, 5*z + 13749988 = 3*h. Round z to the nearest one million."
},
{
"from": "gpt",
"value": "-3000000.0"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 66 is divided by 24?"
},
{
"from": "gpt",
"value": "18"
}
] |
[
{
"from": "human",
"value": "In base 8, what is 1 - 244?"
},
{
"from": "gpt",
"value": "-243"
}
] |
[
{
"from": "human",
"value": "What is the second biggest value in 17, -2/5, 1/5, 5?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "In base 3, what is 10 + 212211?"
},
{
"from": "gpt",
"value": "212221"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 790 is divided by 44?"
},
{
"from": "gpt",
"value": "42"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of -100, -214, -338, -478, -640, -830, -1054?"
},
{
"from": "gpt",
"value": "-w**3 + w**2 - 110*w + 10"
}
] |
[
{
"from": "human",
"value": "Let y(m) be the first derivative of 3*m**2/2 + 9*m + 3. Let x be y(-3). Solve x*b + 1 = b for b."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -2*i - 1 - 7 for i."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose 2*b = -y - 21, -5*y - 13 = 2*b + 4. Suppose -t - 3*t - 62 = -2*q, t + q + 14 = 0. Calculate the common denominator of b and t."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let s(l) be the second derivative of 1/50*l**5 + 0 - 1/15*l**4 + 0*l**2 - 5*l + 0*l**3. Suppose s(h) = 0. What is h?"
},
{
"from": "gpt",
"value": "0, 2"
}
] |
[
{
"from": "human",
"value": "What is the closest to -3/46 in 1, -2/7, 5?"
},
{
"from": "gpt",
"value": "-2/7"
}
] |
[
{
"from": "human",
"value": "Let o = -7782 + 20029. List the prime factors of o."
},
{
"from": "gpt",
"value": "37, 331"
}
] |
[
{
"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": "Let h be 35*1/1*1. Suppose -62 = -8*c - 22. Calculate the highest common divisor of h and c."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Solve -12 = 5*q + 3*f, -4*f + 3*f - 4 = 0 for q."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in 6, 0.18, 0.3, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -y - 4*q - 19, -3*y - 20*q + 13 = -22*q. What is the nearest to -1 in 0.1, -4, y?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 72*f**3 - 54 - 66*f**3 + 54."
},
{
"from": "gpt",
"value": "6*f**3"
}
] |
[
{
"from": "human",
"value": "What is the first derivative of 13*k**2 - 279?"
},
{
"from": "gpt",
"value": "26*k"
}
] |
[
{
"from": "human",
"value": "What is (3 - 5) + 9 + -1 + -1?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Is 499706 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let w be 24/96*(1 + 3). Solve b - w = -b + q, b = 2*q + 5 for b."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Simplify (2*sqrt(171)*-3)/sqrt(9)."
},
{
"from": "gpt",
"value": "-6*sqrt(19)"
}
] |
[
{
"from": "human",
"value": "Solve -3*v - 4*h = -12, 3*v + 0*h - 2*h - 12 = 0 for v."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let q = 118 - 592/5. What is the third biggest value in 0.4, q, -0.1?"
},
{
"from": "gpt",
"value": "q"
}
] |
[
{
"from": "human",
"value": "-3 (base 15) to base 12"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Expand (4*i**2 - 3*i**2 + i**2)*((2*i**2 - 2*i**2 + 2*i**2)*(4 - 4 - 2*i) + 7*i**3 + 7 - 7)."
},
{
"from": "gpt",
"value": "6*i**5"
}
] |
[
{
"from": "human",
"value": "Add 1616 and 5.1."
},
{
"from": "gpt",
"value": "1621.1"
}
] |
[
{
"from": "human",
"value": "Solve -228*h = -226*h + 2 for h."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -144*u**3 + 3*u**2 + 22*u + 14."
},
{
"from": "gpt",
"value": "6 - 864*u"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -36*j**4*w + 11*j**4 - 2*j**3*w + 2*j**2*w + 15*j*w + 7*w wrt j?"
},
{
"from": "gpt",
"value": "-864*j*w + 264*j - 12*w"
}
] |
[
{
"from": "human",
"value": "Let p be (-2)/((3 - 3) + -1). Solve -p*l - 3*l = 0 for l."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the biggest value in -0.4, -5, -648, -0.3?"
},
{
"from": "gpt",
"value": "-0.3"
}
] |
[
{
"from": "human",
"value": "Let l = 2.6 + 3.9. Let b = l - 7. What is the nearest to -1 in b, -0.4, 0?"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let h be (-4)/2 + 1 + 25. Let r = h - 17. Let v(i) = 0 - 4*i + 3*i - 6*i**2 - 6 + 0*i. Let q(x) = -5*x**2 - x - 5. Give r*q(s) - 6*v(s)."
},
{
"from": "gpt",
"value": "s**2 - s + 1"
}
] |
[
{
"from": "human",
"value": "Let f be 13 + 2 + 2 + -5. Let r(l) = -2*l - 6. Let p be r(-5). Suppose -4*o - o = -p*h - 142, 0 = -5*h + 10. What is the highest common divisor of f and o?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let d(r) = -10*r - 105. Determine d(-11)."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the closest to -0.1 in 0.18, -49, -1/6?"
},
{
"from": "gpt",
"value": "-1/6"
}
] |
[
{
"from": "human",
"value": "What is the third biggest value in 3/5, -1/2, 4, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the third smallest value in -41/2, -5, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "In base 6, what is -23 - -3?"
},
{
"from": "gpt",
"value": "-20"
}
] |
[
{
"from": "human",
"value": "Suppose 4*i + 31 + 73 = 4*h, h + 3*i = 22. Is 8 a factor of h?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the thousands digit of 1311?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let r be (-96)/(-72) - (-13)/(-3). Let b be -5*(r + 6 - 7). Calculate the highest common divisor of b and 170."
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Convert 113 (base 5) to base 16."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "-310 (base 5) to base 11"
},
{
"from": "gpt",
"value": "-73"
}
] |
[
{
"from": "human",
"value": "Suppose -2*o = -0 - 2. Suppose u + 2 = -o. Let a be 6/u - 8/(-4). Solve -p - 2*p + 15 = a for p."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is 75214 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "42"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(4)/(sqrt(2) + sqrt(32)*-1) + 4)**2."
},
{
"from": "gpt",
"value": "146/9 - 8*sqrt(2)/3"
}
] |
[
{
"from": "human",
"value": "Sort 2, -4, 1, 5, 1185 in descending order."
},
{
"from": "gpt",
"value": "1185, 5, 2, 1, -4"
}
] |
[
{
"from": "human",
"value": "What comes next: -12, -36, -60?"
},
{
"from": "gpt",
"value": "-84"
}
] |
[
{
"from": "human",
"value": "Find the first derivative of b**2*l*x - 425*b**2*l + 46*b*l*x + x wrt x."
},
{
"from": "gpt",
"value": "b**2*l + 46*b*l + 1"
}
] |
[
{
"from": "human",
"value": "Let x = -15 - -27. Solve -3*l + 0*l = x for l."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is 0.9 times 0.001?"
},
{
"from": "gpt",
"value": "0.0009"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 0 - 193*y**2 - 1 + 143*y**2."
},
{
"from": "gpt",
"value": "-50*y**2 - 1"
}
] |
[
{
"from": "human",
"value": "Let k = 0 - 0.1. Let p be (16/(-64))/(3/4). Which is the closest to p? (a) k (b) -4 (c) 4"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Solve 4*g + 0*q + 4 = 4*q, 13 = 5*g + q for g."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the value of ((-39)/(-52))/((-6)/16)?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Expand -2*a**3 + 5 - 5 + (a**2 + a**2 + 0*a**2)*(2 - 2 + a) - 3*a**3 + 0*a**3 - 2*a**3 + 10*a**3 - 18*a**3 - 13*a**3."
},
{
"from": "gpt",
"value": "-26*a**3"
}
] |
[
{
"from": "human",
"value": "Convert 3.457074 months to decades."
},
{
"from": "gpt",
"value": "0.02880895"
}
] |
[
{
"from": "human",
"value": "Calculate 200 divided by -4."
},
{
"from": "gpt",
"value": "-50"
}
] |
[
{
"from": "human",
"value": "Express (3*g + 3*g + g)*(2*g**3 + 0*g**3 + 0*g**3) as c*g + m + u*g**3 + p*g**2 + h*g**4 and give m."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 6:27 AM and 12:21 PM?"
},
{
"from": "gpt",
"value": "354"
}
] |
[
{
"from": "human",
"value": "Let c(p) be the third derivative of -p**8/168 - p**7/105 + p**6/20 + p**5/6 + p**4/6 + 24*p**2. Suppose c(w) = 0. What is w?"
},
{
"from": "gpt",
"value": "-1, 0, 2"
}
] |
[
{
"from": "human",
"value": "Does 46 divide 598?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 4, what is 11 + -1033211?"
},
{
"from": "gpt",
"value": "-1033200"
}
] |
[
{
"from": "human",
"value": "What is the w'th term of 20180, 20179, 20178, 20177, 20176?"
},
{
"from": "gpt",
"value": "20181 - w"
}
] |
[
{
"from": "human",
"value": "Let x be 1/3 + (-42)/18. Let u = x + 4. Solve u = 3*j + 14 for j."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Sort -1629, 3, -5 in increasing order."
},
{
"from": "gpt",
"value": "-1629, -5, 3"
}
] |
[
{
"from": "human",
"value": "Let i(k) = -k**2 - 2*k + 2. Let j be i(-2). Suppose -j*s - 10 = -3*d, 5*d + 4*s = -2 + 4. Solve -z - d - 2 = 0 for z."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the seventh root of 5011 to the nearest integer?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What comes next: 29, 39, 63, 107, 177?"
},
{
"from": "gpt",
"value": "279"
}
] |
[
{
"from": "human",
"value": "Solve 550893*v = 548400*v + 219384 for v."
},
{
"from": "gpt",
"value": "88"
}
] |
[
{
"from": "human",
"value": "Solve -3*z + 1 + 5 = 0 for z."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Let o = -0.03 - 0.07. What is the nearest to o in -2, -2/3, 0.1?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "Solve 5*v = 0, -2*v = 5*z + 9 + 11 for z."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Put -5, -3, 40, 2/9 in decreasing order."
},
{
"from": "gpt",
"value": "40, 2/9, -3, -5"
}
] |
[
{
"from": "human",
"value": "What is 11580 + 5?"
},
{
"from": "gpt",
"value": "11585"
}
] |
[
{
"from": "human",
"value": "What is the derivative of 49*i**2 - i + 144 wrt i?"
},
{
"from": "gpt",
"value": "98*i - 1"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 1/4? (a) 0.01 (b) -0.3 (c) -2/7 (d) 12"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Round -0.001002 to five dps."
},
{
"from": "gpt",
"value": "-0.001"
}
] |
[
{
"from": "human",
"value": "What is next in -3, -22, -53, -102, -175, -278?"
},
{
"from": "gpt",
"value": "-417"
}
] |
[
{
"from": "human",
"value": "What is -0.045 times 0.15?"
},
{
"from": "gpt",
"value": "-0.00675"
}
] |
[
{
"from": "human",
"value": "Suppose -2*t = -3*t + 9. Let h = -6 + t. Let c be -2*((-3)/h + 2). Is c less than or equal to -2?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let a = 30 - 5. Let o(q) = 2*q**2 - q - 3. Let x = -10 - -12. Let m be o(x). Solve 0*b - 5*l - a = m*b, -2*l = -4*b - 16 for b."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let o = 0 - 0. Let c(m) = m + 3. Let w be c(o). Suppose 4*i = -a + 18, w = -i + 7. What is the remainder when 2 is divided by a?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let h(s) = 17 - 2*s. Let f be h(7). Solve -r - f*p = -11, -2*r + 2*p + 0*p = 2 for r."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Solve 52*h = 48*h - 20 for h."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "What is thirteen fifths of a gram in milligrams?"
},
{
"from": "gpt",
"value": "2600"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 8:13 AM and 10:46 AM?"
},
{
"from": "gpt",
"value": "153"
}
] |
[
{
"from": "human",
"value": "Suppose -16*d = -14*d + 6, 3*c - 30 = -2*d. Are c and 11 unequal?"
},
{
"from": "gpt",
"value": "True"
}
] |
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