conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "Let h = 0.08 - 0.05. Let y = 3.97 - 4. Let f = y + h. What is the nearest to f in -1, -0.4, 1/3?"
},
{
"from": "gpt",
"value": "1/3"
}
] |
[
{
"from": "human",
"value": "Let w = -1 + -1. Let g = 4 + w. Find the second derivative of 2*d + g*d**2 - 3*d**2 + 0*d wrt d."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "In base 2, what is 101 + -11111010110?"
},
{
"from": "gpt",
"value": "-11111010001"
}
] |
[
{
"from": "human",
"value": "What is the s'th term of -29, -2, 55, 160, 331, 586, 943, 1420?"
},
{
"from": "gpt",
"value": "3*s**3 - 3*s**2 + 15*s - 44"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -3845*k**3*q**3 - k**3 - 2*k**2*q**2 + 4*k**2 wrt q?"
},
{
"from": "gpt",
"value": "-23070*k**3"
}
] |
[
{
"from": "human",
"value": "Let r = 0.1 + 0.1. Let p(d) = d - 4. Let h be p(7). Let w be h/7 - (-1 - -1). Put 5, w, r in descending order."
},
{
"from": "gpt",
"value": "5, w, r"
}
] |
[
{
"from": "human",
"value": "Which is greater: -2/3 or -1609?"
},
{
"from": "gpt",
"value": "-2/3"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of -1100*m**2 + 1228*m wrt m?"
},
{
"from": "gpt",
"value": "-2200"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of -2*i**2*y**4 - 2*i**2 + 60*i*y**6 + 3*y**2 - 7*y wrt y?"
},
{
"from": "gpt",
"value": "-48*i**2*y + 7200*i*y**3"
}
] |
[
{
"from": "human",
"value": "Let x = -4.3 - -3.3. Let z = 0 - 3. Let m = z - x. Which is the closest to -0.2? (a) m (b) -0.3 (c) -4"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Work out -25967 * -4."
},
{
"from": "gpt",
"value": "103868"
}
] |
[
{
"from": "human",
"value": "Let x(b) be the second derivative of b**6/15 - 7*b**3/6 + 3*b. What is the second derivative of x(z) wrt z?"
},
{
"from": "gpt",
"value": "24*z**2"
}
] |
[
{
"from": "human",
"value": "Let a = 555 + -553. Factor 0 + 3/7*q - 1/7*q**a."
},
{
"from": "gpt",
"value": "-q*(q - 3)/7"
}
] |
[
{
"from": "human",
"value": "Let n = -5805733 - -5804933.1026. Let c = n + 800.9. Let y = c + -1. Round y to three decimal places."
},
{
"from": "gpt",
"value": "0.003"
}
] |
[
{
"from": "human",
"value": "What is 0.013941 - 5?"
},
{
"from": "gpt",
"value": "-4.986059"
}
] |
[
{
"from": "human",
"value": "What is the o'th term of -1, 21, 37, 41, 27, -11, -79?"
},
{
"from": "gpt",
"value": "-o**3 + 3*o**2 + 20*o - 23"
}
] |
[
{
"from": "human",
"value": "Let n = -1 + 1/2. Let f = 2.5 - 2.8. Which is bigger: f or n?"
},
{
"from": "gpt",
"value": "f"
}
] |
[
{
"from": "human",
"value": "Suppose 0*o - 4*o = 12. Let i = 7 + o. What is the units digit of i?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Is 124 a factor of 25544?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 6, what is 20 + -3?"
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Solve -5*j - 7 = -3*g, -4*j + 2*g + 1 = 5 for j."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "In base 13, what is -1755 + -9?"
},
{
"from": "gpt",
"value": "-1761"
}
] |
[
{
"from": "human",
"value": "What is the next term in 63, 272, 613, 1080, 1667, 2368, 3177?"
},
{
"from": "gpt",
"value": "4088"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when (-2)/4 - (-2607)/22 is divided by 30."
},
{
"from": "gpt",
"value": "28"
}
] |
[
{
"from": "human",
"value": "Evaluate (-2 - 3) + 1 + -1."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let z = 42 - 39. Solve 3 = -z*u + 2*u for u."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "0 divided by -50"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Solve 1550*v = 1568*v + 126 for v."
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "What is 12731 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "23"
}
] |
[
{
"from": "human",
"value": "Let q = -85 + 86. Which is bigger: -2/87 or q?"
},
{
"from": "gpt",
"value": "q"
}
] |
[
{
"from": "human",
"value": "Let f = 2.9 - -1.1. Put -0.2, f, -0.3 in decreasing order."
},
{
"from": "gpt",
"value": "f, -0.2, -0.3"
}
] |
[
{
"from": "human",
"value": "What is next in 150, 114, 78, 42, 6, -30?"
},
{
"from": "gpt",
"value": "-66"
}
] |
[
{
"from": "human",
"value": "Let t = 0.202 - 0.002. Which is the nearest to -1? (a) 0.4 (b) 1/3 (c) t"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Factor 4*i**3 - 904*i**2 + 6976*i."
},
{
"from": "gpt",
"value": "4*i*(i - 218)*(i - 8)"
}
] |
[
{
"from": "human",
"value": "What is 7413 divided by 4?"
},
{
"from": "gpt",
"value": "7413/4"
}
] |
[
{
"from": "human",
"value": "What is the third root of 50738 to the nearest integer?"
},
{
"from": "gpt",
"value": "37"
}
] |
[
{
"from": "human",
"value": "Solve -5*v**4/6 + 1875*v**3/2 - 703125*v**2/2 + 87890625*v/2 = 0 for v."
},
{
"from": "gpt",
"value": "0, 375"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -8 + 8 + 2641*d - 774*d."
},
{
"from": "gpt",
"value": "1867*d"
}
] |
[
{
"from": "human",
"value": "What is the tens digit of 556?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "7 - (5 - 2 - -6)"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -262*v**6 + 2*v**5 + 4*v**4 - 8143*v**2 wrt v."
},
{
"from": "gpt",
"value": "-31440*v**3 + 120*v**2 + 96*v"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -123 or 3/7?"
},
{
"from": "gpt",
"value": "-123"
}
] |
[
{
"from": "human",
"value": "What is the fourth smallest value in 10, 6, -0.205, 1/7?"
},
{
"from": "gpt",
"value": "10"
}
] |
[
{
"from": "human",
"value": "Let a(w) = -w**2 + 7*w. Let x be a(7). Suppose v + 1 - 6 = x. Let b = -2 - -5. Solve 5*y = -v*d, 12 = b*y - 5*d + 4 for y."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "4*(370/(-200) + 2)"
},
{
"from": "gpt",
"value": "3/5"
}
] |
[
{
"from": "human",
"value": "Let r(n) = n**2 - 19*n + 59. Give r(11)."
},
{
"from": "gpt",
"value": "-29"
}
] |
[
{
"from": "human",
"value": "Let p be 1/(1*(1 + -2)). Is p smaller than 1/14?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What is 1 (base 14) in base 11?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 163*z**2 + 35*z**2 - 9*z**2 - 17*z**2."
},
{
"from": "gpt",
"value": "172*z**2"
}
] |
[
{
"from": "human",
"value": "Is 7806 greater than 7804?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let z(l) be the third derivative of l**7/2940 - l**6/504 - l**5/210 - l**4/4 + 5*l**2. Let u(y) be the second derivative of z(y). Factor u(c)."
},
{
"from": "gpt",
"value": "2*(c - 2)*(3*c + 1)/7"
}
] |
[
{
"from": "human",
"value": "Round 4.5841 to one decimal place."
},
{
"from": "gpt",
"value": "4.6"
}
] |
[
{
"from": "human",
"value": "Let y be (-1 + -4)*3/(-5). Suppose 0 = 2280*u - 2262*u - 162. Solve -u = 2*q - m, -4*m = y*q - 4 + 1 for q."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let h be ((-375)/(-20))/(-5) - -4. Which is bigger: -21 or h?"
},
{
"from": "gpt",
"value": "h"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -53 - 64?"
},
{
"from": "gpt",
"value": "-150"
}
] |
[
{
"from": "human",
"value": "Solve -1745*v + 1749*v = -32 for v."
},
{
"from": "gpt",
"value": "-8"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 734/7 or 105?"
},
{
"from": "gpt",
"value": "734/7"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 2*p + b + 4, -3*p + 17*b = 21*b - 4 for p."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let u = -40 + 66. Suppose -u = -i + 39. Is i a prime number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let j be 1 - -2*(1 - 0). Find the third derivative of -1 + j*k**5 - 2*k**2 + 1 - 2*k**2 wrt k."
},
{
"from": "gpt",
"value": "180*k**2"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of ((-3)/18)/(10/(-246)) and ((-2)/(-22))/(3/93)."
},
{
"from": "gpt",
"value": "110"
}
] |
[
{
"from": "human",
"value": "What is the d'th term of -19, -48, -77, -106, -135?"
},
{
"from": "gpt",
"value": "10 - 29*d"
}
] |
[
{
"from": "human",
"value": "Solve -8 = -0*f - 2*f for f."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Suppose 2/7 - 2/7*f**2 + 2/7*f - 2/7*f**3 = 0. Calculate f."
},
{
"from": "gpt",
"value": "-1, 1"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 35*i - 29*i - 12 for i."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Which is the fourth biggest value? (a) 0 (b) -1/8 (c) -2/27 (d) 0.19 (e) -7/2 (f) -86/11"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let w be (-4)/5 + (-9)/(-5). Suppose 0 = -2*v - 4*b, 3*v + b - 10 = 10. What is the highest common divisor of v and w?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Divide 181 by -13."
},
{
"from": "gpt",
"value": "-181/13"
}
] |
[
{
"from": "human",
"value": "How many nanograms are there in 3/8 of a microgram?"
},
{
"from": "gpt",
"value": "375"
}
] |
[
{
"from": "human",
"value": "Let n(b) = -5*b - 2. Let y be n(2). Let h be (5/15)/((-1)/y). What is the second derivative of -z**4 - z**h + z - 3*z wrt z?"
},
{
"from": "gpt",
"value": "-24*z**2"
}
] |
[
{
"from": "human",
"value": "Solve -22 = 23*n - 34*n for n."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Calculate 7 - 12 - (100/(-10) - -8)."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let c(f) = f**2 + 3*f + 4. Let b be c(-4). Solve -2*n - 4*p = -b, 3*n = -0*p - 4*p + 8 for n."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Suppose -4 = 3*i - 5*i. Let v(s) be the first derivative of 3 + 0*s + 1/4*s**4 + 2*s**i + 4/3*s**3. Determine w so that v(w) = 0."
},
{
"from": "gpt",
"value": "-2, 0"
}
] |
[
{
"from": "human",
"value": "Simplify -4 + sqrt(162) - ((-2*sqrt(14))/sqrt(7))**2."
},
{
"from": "gpt",
"value": "-12 + 9*sqrt(2)"
}
] |
[
{
"from": "human",
"value": "What is the greatest common factor of 2806 and 46?"
},
{
"from": "gpt",
"value": "46"
}
] |
[
{
"from": "human",
"value": "In base 16, what is 18 - -11?"
},
{
"from": "gpt",
"value": "29"
}
] |
[
{
"from": "human",
"value": "Let i(l) be the third derivative of -l**8/336 + 7*l**5/60 - 7*l**4/3 + 15*l**2. What is the second derivative of i(b) wrt b?"
},
{
"from": "gpt",
"value": "14 - 20*b**3"
}
] |
[
{
"from": "human",
"value": "Suppose -x - x + 8 = 4*i, -3*x + 8 = 4*i. Factor -4*v**2 - 2 + 7*v**2 + 1 + 4*v + i."
},
{
"from": "gpt",
"value": "(v + 1)*(3*v + 1)"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(1377) - sqrt(1377)*1)**2 - (-1 + sqrt(17))*-1."
},
{
"from": "gpt",
"value": "-1 + sqrt(17)"
}
] |
[
{
"from": "human",
"value": "Which is the second biggest value? (a) 0.59 (b) -1 (c) -1/7 (d) 3/5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Evaluate 1 - (-2 - (-5 + 11))."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Solve -4*a**2 - 64*a - 60 = 0 for a."
},
{
"from": "gpt",
"value": "-15, -1"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to 0.1? (a) -0.2 (b) 0.5 (c) -0.05"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is the difference between -1 and 0.343?"
},
{
"from": "gpt",
"value": "1.343"
}
] |
[
{
"from": "human",
"value": "Are 338 and 338 non-equal?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is -2 + 1 - (5 + 1 + -6)?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the next term in -80, -322, -726, -1292, -2020, -2910, -3962?"
},
{
"from": "gpt",
"value": "-5176"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 9*c**2 + 17*c**2 - 14*c**6 + 37*c**6 wrt c?"
},
{
"from": "gpt",
"value": "2760*c**3"
}
] |
[
{
"from": "human",
"value": "Calculate 12/(-5)*((-435)/(-6))/29."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Which is greater: 476 or 478?"
},
{
"from": "gpt",
"value": "478"
}
] |
[
{
"from": "human",
"value": "Differentiate 2*g**4*m**3 + 2*g**4 + 59*g*m**3 + 193*m**3 with respect to g."
},
{
"from": "gpt",
"value": "8*g**3*m**3 + 8*g**3 + 59*m**3"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = 3*p - p + 2*b + 14, -4*p = -3*b + 14. Put 6, p, -1 in ascending order."
},
{
"from": "gpt",
"value": "p, -1, 6"
}
] |
[
{
"from": "human",
"value": "Let w be 1/1 + -2 - -16. Let t = -10 + 13. Solve w = -6*k + t*k for k."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let h(n) be the first derivative of 5*n**3/3 + n**2 - 2*n - 4. Let p(u) = 6*u**2 + 2*u - 3. Let l(o) = 3*h(o) - 2*p(o). Factor l(d)."
},
{
"from": "gpt",
"value": "d*(3*d + 2)"
}
] |
[
{
"from": "human",
"value": "Let y(x) be the second derivative of x**7/210 - 2*x**6/45 + x**5/10 + 2*x**3/3 + 8*x. Let g(m) be the second derivative of y(m). Factor g(r)."
},
{
"from": "gpt",
"value": "4*r*(r - 3)*(r - 1)"
}
] |
[
{
"from": "human",
"value": "Simplify g**(2/3)*g**2*(g*g**0*g*g*g)/g**(-4/3) assuming g is positive."
},
{
"from": "gpt",
"value": "g**8"
}
] |
[
{
"from": "human",
"value": "Convert 7939.056 seconds to microseconds."
},
{
"from": "gpt",
"value": "7939056000"
}
] |
[
{
"from": "human",
"value": "Let b = 8473881.01516525 + -8473882. Let a = 0.57483438 + b. Let k = a + 0.41. Round k to seven dps."
},
{
"from": "gpt",
"value": "-4e-07"
}
] |
[
{
"from": "human",
"value": "Let q(i) = 2*i**3 + 55*i**2 + 85*i + 185. What is q(-26)?"
},
{
"from": "gpt",
"value": "3"
}
] |
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