conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Suppose -4*s + 815 = 5*d, 0*s - 430 = -2*s + 2*d. What is the hundreds digit of s?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 335 and 67?"
},
{
"from": "gpt",
"value": "67"
}
] |
[
{
"from": "human",
"value": "Convert 387538.7 years to decades."
},
{
"from": "gpt",
"value": "38753.87"
}
] |
[
{
"from": "human",
"value": "What comes next: -26, -40, -70, -122, -202?"
},
{
"from": "gpt",
"value": "-316"
}
] |
[
{
"from": "human",
"value": "Let j(r) be the third derivative of -r**6/24 + r**5/30 - 8*r**2. Find the third derivative of j(w) wrt w."
},
{
"from": "gpt",
"value": "-30"
}
] |
[
{
"from": "human",
"value": "Rearrange 70 + 68 + c**3 + c**2 - 134 - 3*c to the form o*c**3 + k*c + u*c**2 + y and give o."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) 1 (b) 76 (c) -2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -u + r - 8, 3*r - 37 + 7 = 5*u. Put 3, u, 1 in descending order."
},
{
"from": "gpt",
"value": "3, 1, u"
}
] |
[
{
"from": "human",
"value": "Let r = 0 + 4. Suppose r*d = d + 3. Suppose -l + 1 = 0, -u - d = 2*l - 17. What is the least common multiple of 16 and u?"
},
{
"from": "gpt",
"value": "112"
}
] |
[
{
"from": "human",
"value": "What is 375 minus 0.35753?"
},
{
"from": "gpt",
"value": "374.64247"
}
] |
[
{
"from": "human",
"value": "Suppose 3*w + 50 = -5*s - w, 3*s - 7 = 5*w. Let u = -3 - s. Suppose -y = -u*y + 12. What is the units digit of y?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Factor 4*g**4 - 144*g**3 - 460*g**2 - 312*g."
},
{
"from": "gpt",
"value": "4*g*(g - 39)*(g + 1)*(g + 2)"
}
] |
[
{
"from": "human",
"value": "What is the third root of 1211 to the nearest integer?"
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "In base 11, what is 2 + -1?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(88)/(sqrt(32)/sqrt(4) + sqrt(8)) - (sqrt(704) - (-1 + sqrt(704)))**2."
},
{
"from": "gpt",
"value": "-1 + sqrt(11)/2"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(363) + 0 + sqrt(363))*5 - (-2*(sqrt(363) + 0) + sqrt(363)))**2."
},
{
"from": "gpt",
"value": "43923"
}
] |
[
{
"from": "human",
"value": "In base 10, what is 8 + -4?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let q = 77 + -75. Put -5, -9, q, 4 in increasing order."
},
{
"from": "gpt",
"value": "-9, -5, q, 4"
}
] |
[
{
"from": "human",
"value": "Let j(l) = l - 8. Let c be j(11). Let z = c - 3. Let f(s) = s + 8. Let a be f(-6). Solve z = -a*o + 11 - 3 for o."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let t(f) = 9 - f. Let n be t(9). Suppose n = 2*j + 4 - 8. Find the second derivative of -j - i**5 + i - 1 + 3 wrt i."
},
{
"from": "gpt",
"value": "-20*i**3"
}
] |
[
{
"from": "human",
"value": "Suppose -4*g = 5*v + 10, -5*v - 14 = -2*v + 4*g. Suppose -49 - 35 = -v*r. Suppose 2*l - 4*t = r, -3*l - 4*t - t = -63. Is l a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Work out 0.1 + 1.707."
},
{
"from": "gpt",
"value": "1.807"
}
] |
[
{
"from": "human",
"value": "Let n = -0.09 + 4.09. Let j = n + -6. What is the closest to -1/2 in -4, j, 0.1?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "1 (base 4) to base 15"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "In base 8, what is 2 + 60?"
},
{
"from": "gpt",
"value": "62"
}
] |
[
{
"from": "human",
"value": "Let j(a) = -2*a - 6. Let q = -16 + 11. Let k be j(q). Suppose -k*f = -6*f + 24. Does 6 divide f?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Is -70 > -25?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "(-5)/(20/14)*(-4)/14"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Is 53 < -5?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let n(p) = -p**2 - 2*p - 1. Let h(m) = 2*m**3 - 16*m**2 + 42*m - 12. Let a(f) = h(f) + 4*n(f). What is u in a(u) = 0?"
},
{
"from": "gpt",
"value": "1, 8"
}
] |
[
{
"from": "human",
"value": "Suppose 2*h = 0, 5*r + 25 = -h + 75. Let x(k) = 5*k + 0*k + 2*k**3 - k**2 + 5 - 4*k**2. Let a(b) = -b**3 + 3*b**2 - 3*b - 3. Give r*a(c) + 6*x(c)."
},
{
"from": "gpt",
"value": "2*c**3"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -5005/1259 or -4?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let g = 0 + -1. Let z(c) = -c**3 - c**2 - c - 1. Let q be z(g). Solve -5*f = -3*l, -l - 4*l - 25 = q for f."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is -32 times -3.3?"
},
{
"from": "gpt",
"value": "105.6"
}
] |
[
{
"from": "human",
"value": "What is the d'th term of -13, -23, -45, -85, -149, -243, -373, -545?"
},
{
"from": "gpt",
"value": "-d**3 - 3*d - 9"
}
] |
[
{
"from": "human",
"value": "Solve -4*r + 5*f = 8, 2*f + 0 = 8 for r."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the value of 1*(0 - -1) + (-35)/25?"
},
{
"from": "gpt",
"value": "-2/5"
}
] |
[
{
"from": "human",
"value": "Solve -222 + 166 = 7*g for g."
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "Calculate prob of picking 1 s and 2 f when three letters picked without replacement from bppbstffpppb."
},
{
"from": "gpt",
"value": "1/220"
}
] |
[
{
"from": "human",
"value": "Let y be ((-4)/10)/(2/10). Suppose 7*x - 4*x + 4*v = -1, -3*v = x + 2. What are the prime factors of 14 - x - y/(-2)?"
},
{
"from": "gpt",
"value": "2, 3"
}
] |
[
{
"from": "human",
"value": "Is 119170185909 composite?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(190)/(sqrt(5)*-2))/(sqrt(288) + (sqrt(288) - (sqrt(288) + 1*sqrt(288))) + sqrt(288)))**2."
},
{
"from": "gpt",
"value": "19/576"
}
] |
[
{
"from": "human",
"value": "Simplify ((-1*sqrt(30))/sqrt(10) - sqrt(3))**2*3."
},
{
"from": "gpt",
"value": "36"
}
] |
[
{
"from": "human",
"value": "Product of 0.1 and 74."
},
{
"from": "gpt",
"value": "7.4"
}
] |
[
{
"from": "human",
"value": "Let l = 16 - 14. Suppose 0 = -5*s - l*m - 0*m + 16, -s + 14 = 4*m. Solve 0 = 2*v, 2*k + 1 = -s*v - 1 for k."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Simplify 6*sqrt(63) + -4 + -2."
},
{
"from": "gpt",
"value": "-6 + 18*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "Expand (-p - p + 0*p)*(2*p**3 + p**3 - 2*p**3) - 2 + 5*p**4 - 6 + 7."
},
{
"from": "gpt",
"value": "3*p**4 - 1"
}
] |
[
{
"from": "human",
"value": "What is the t'th term of 87, 129, 169, 207, 243?"
},
{
"from": "gpt",
"value": "-t**2 + 45*t + 43"
}
] |
[
{
"from": "human",
"value": "Sort 1, -20, 0 in descending order."
},
{
"from": "gpt",
"value": "1, 0, -20"
}
] |
[
{
"from": "human",
"value": "In base 11, what is -2 + 270?"
},
{
"from": "gpt",
"value": "269"
}
] |
[
{
"from": "human",
"value": "Solve -335*r = -342*r - 7 for r."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Which is the second smallest value? (a) 9/8 (b) 0 (c) -1/9 (d) 4 (e) 0.3"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Solve 0 = h - 3*j + 3, 2*h - 61*j + 6 = -63*j for h."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is the smallest common multiple of 54 and 1431?"
},
{
"from": "gpt",
"value": "2862"
}
] |
[
{
"from": "human",
"value": "Solve 3 = 19*d + 41 for d."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Solve -k = 2*l - 8, -k + 8 = 2*l - 6*l for l."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in -717, 0.3, 1/4?"
},
{
"from": "gpt",
"value": "1/4"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 181/97 or 3?"
},
{
"from": "gpt",
"value": "181/97"
}
] |
[
{
"from": "human",
"value": "What is the smallest value in -1, -51, -2/5, -4?"
},
{
"from": "gpt",
"value": "-51"
}
] |
[
{
"from": "human",
"value": "Let g(n) = -n**2 - 12*n - 17. Give g(-12)."
},
{
"from": "gpt",
"value": "-17"
}
] |
[
{
"from": "human",
"value": "In base 4, what is -1112 + 1?"
},
{
"from": "gpt",
"value": "-1111"
}
] |
[
{
"from": "human",
"value": "Solve -308 = 34*v + 10*v for v."
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "What is the highest common divisor of 228 and 665?"
},
{
"from": "gpt",
"value": "19"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -34*j**5 + 3*j**3*x + 5*j**2 - 20*x wrt j."
},
{
"from": "gpt",
"value": "-2040*j**2 + 18*x"
}
] |
[
{
"from": "human",
"value": "What is 2/125 of a centimeter in micrometers?"
},
{
"from": "gpt",
"value": "160"
}
] |
[
{
"from": "human",
"value": "Let i be 1/(30/(-14) + 2). Are i and -2 nonequal?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is the q'th term of -332, -698, -1064?"
},
{
"from": "gpt",
"value": "34 - 366*q"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 927 is divided by 55?"
},
{
"from": "gpt",
"value": "47"
}
] |
[
{
"from": "human",
"value": "What is the g'th term of 3432, 5541, 7636, 9711, 11760, 13777, 15756?"
},
{
"from": "gpt",
"value": "-g**3 - g**2 + 2119*g + 1315"
}
] |
[
{
"from": "human",
"value": "Solve -7*o = -3*o - 4 for o."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 40978."
},
{
"from": "gpt",
"value": "2, 7, 2927"
}
] |
[
{
"from": "human",
"value": "Let x = 15 - 15.7. Let a = -0.2 - x. Let f = -1 - -0.9. What is the closest to -1/2 in f, a, 2/3?"
},
{
"from": "gpt",
"value": "f"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 1? (a) 1/4 (b) -2/7 (c) -1 (d) 2"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is -737.3201 minus 5?"
},
{
"from": "gpt",
"value": "-742.3201"
}
] |
[
{
"from": "human",
"value": "Calculate the smallest common multiple of 1119 and 12."
},
{
"from": "gpt",
"value": "4476"
}
] |
[
{
"from": "human",
"value": "Suppose u - 3 + 2 = 0. What is the remainder when 1 is divided by u?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -3*x + g, 0 = 2*x + 2*g + 2*g + 14. Which is greater: 4/85 or x?"
},
{
"from": "gpt",
"value": "4/85"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 396?"
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "What is the ninth root of 1620295 to the nearest integer?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is -4370 + 1334?"
},
{
"from": "gpt",
"value": "-3036"
}
] |
[
{
"from": "human",
"value": "Let s = -2 - -2. Suppose -5*d - 5*w + 0 + 5 = s, -2*d - 3*w = 1. Calculate the least common multiple of ((-48)/(-10))/(147/35 - 4) and d."
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "Solve a**3/3 - 14*a**2/3 + 11*a = 0 for a."
},
{
"from": "gpt",
"value": "0, 3, 11"
}
] |
[
{
"from": "human",
"value": "Solve 0*a = 2*a + 10 for a."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Rearrange -7*w**2 + 0*w**4 + 5*w**2 + 4*w - 4*w**4 to l*w**4 + v*w + g*w**2 + j + n*w**3 and give g."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -4140 + 2?"
},
{
"from": "gpt",
"value": "-4135"
}
] |
[
{
"from": "human",
"value": "Suppose 45*q - 6 = 44*q. Solve 5*v + q = -5*r - 4, 0 = 5*r + 25 for v."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let d(l) be the first derivative of -l**6/6 + l**5/5 + 3*l**4/4 - l**3/3 - l**2 - 45. What is m in d(m) = 0?"
},
{
"from": "gpt",
"value": "-1, 0, 1, 2"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1/2 in 3/2, -1/3, -0.1?"
},
{
"from": "gpt",
"value": "-0.1"
}
] |
[
{
"from": "human",
"value": "Let r(q) be the second derivative of -19*q**7/21 - 8*q**4/3 + 15*q. What is the third derivative of r(h) wrt h?"
},
{
"from": "gpt",
"value": "-2280*h**2"
}
] |
[
{
"from": "human",
"value": "How many minutes are there between 4:38 AM and 6:09 AM?"
},
{
"from": "gpt",
"value": "91"
}
] |
[
{
"from": "human",
"value": "What is the u'th term of -1794, -3586, -5378?"
},
{
"from": "gpt",
"value": "-1792*u - 2"
}
] |
[
{
"from": "human",
"value": "Solve 3*c**2 - 1317*c = 0 for c."
},
{
"from": "gpt",
"value": "0, 439"
}
] |
[
{
"from": "human",
"value": "What is the h'th term of -5, 12, 67, 178, 363, 640?"
},
{
"from": "gpt",
"value": "3*h**3 + h**2 - 7*h - 2"
}
] |
[
{
"from": "human",
"value": "What is 24437 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "156"
}
] |
[
{
"from": "human",
"value": "Sort -3, 6, 2, -1, 5 in increasing order."
},
{
"from": "gpt",
"value": "-3, -1, 2, 5, 6"
}
] |
[
{
"from": "human",
"value": "Suppose -5*d - 3*q = 65, 3*q - 70 = 5*d + 5*q. Let c = 20 + d. Solve c*y - 15 = 5 for y."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Multiply 0.2 and 96.6."
},
{
"from": "gpt",
"value": "19.32"
}
] |
[
{
"from": "human",
"value": "Let s = 1.1 - 0.1. Let i be 66/14 + -3 + -2. Which is the closest to s? (a) -4 (b) i (c) 1"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Find p, given that 8*p**4/15 + 712*p**3/15 - 2*p**2/5 - 536*p/15 - 178/15 = 0."
},
{
"from": "gpt",
"value": "-89, -1/2, 1"
}
] |
[
{
"from": "human",
"value": "Let q**2/4 + 4559*q/2 + 20784481/4 = 0. What is q?"
},
{
"from": "gpt",
"value": "-4559"
}
] |
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