conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Solve 2*s + 3*n + 3 = -3*s, -2*s - 2 = n for s."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What comes next: -8, -9, -10, -11, -12?"
},
{
"from": "gpt",
"value": "-13"
}
] |
[
{
"from": "human",
"value": "Let n be 2/(-15) + 1/3. Let s be (5 - 2)/(-2 - -1). What is the closest to n in s, 0.1, -0.4?"
},
{
"from": "gpt",
"value": "0.1"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(245) + 2)**2 - sqrt(245)) + -4 + -1."
},
{
"from": "gpt",
"value": "21*sqrt(5) + 244"
}
] |
[
{
"from": "human",
"value": "What is the x'th term of -81, -154, -225, -294, -361, -426, -489?"
},
{
"from": "gpt",
"value": "x**2 - 76*x - 6"
}
] |
[
{
"from": "human",
"value": "Which is greater: -32/5 or -0.3?"
},
{
"from": "gpt",
"value": "-0.3"
}
] |
[
{
"from": "human",
"value": "What is the seventh root of 33 to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "((-1)/(-2))/(11/132*-1)"
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 0? (a) 1 (b) -0.3 (c) -308"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let k = 117.8022364439441 + 35056096.8677629760559. Let s = 35056215 - k. Let c = s + -0.33. Round c to 7 dps."
},
{
"from": "gpt",
"value": "6e-07"
}
] |
[
{
"from": "human",
"value": "Let d(t) = t**2 - 9*t - 9. Let v be d(10). Let p(w) = 2*w - 1. Let o be p(1). Let q be ((-1)/15)/(0 - o). Which is smaller: q or v?"
},
{
"from": "gpt",
"value": "q"
}
] |
[
{
"from": "human",
"value": "Let q(f) = 0 + 3 - f - 1. Let n(l) = -3. What is -2*n(o) - 3*q(o)?"
},
{
"from": "gpt",
"value": "3*o"
}
] |
[
{
"from": "human",
"value": "Let j(g) = 8*g + 3. What are the prime factors of j(3)?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -6*k - 495 + 549 for k."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Sort 198, -2, -3, 2 in increasing order."
},
{
"from": "gpt",
"value": "-3, -2, 2, 198"
}
] |
[
{
"from": "human",
"value": "Let h = 0.2 - 1.2. Let l = -5 - -4. Let d = h - l. Which is smaller: -2/5 or d?"
},
{
"from": "gpt",
"value": "-2/5"
}
] |
[
{
"from": "human",
"value": "Solve y + 3 - 5 = -t, 2*t + 31 = 5*y for t."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What comes next: -6, -21, -46, -81, -126?"
},
{
"from": "gpt",
"value": "-181"
}
] |
[
{
"from": "human",
"value": "What is the third derivative of 282036*a**5 - 26*a**2 + 322*a wrt a?"
},
{
"from": "gpt",
"value": "16922160*a**2"
}
] |
[
{
"from": "human",
"value": "Simplify ((i/(i/(i**(-7)*i)))/i**(1/5))**(-46) assuming i is positive."
},
{
"from": "gpt",
"value": "i**(1426/5)"
}
] |
[
{
"from": "human",
"value": "What is 2990 divided by 46?"
},
{
"from": "gpt",
"value": "65"
}
] |
[
{
"from": "human",
"value": "Suppose -13*f + 60 = -7*f. Suppose 7*p = 4*p + 5*b - 8, -5*b + 28 = 2*p. Let n be 5 + 2/p*0. Solve f = -2*d - 0, o - n*d = 24 for o."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the distance between 17.7087 and -1?"
},
{
"from": "gpt",
"value": "18.7087"
}
] |
[
{
"from": "human",
"value": "Is 825807 prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Find s such that 2*s**2/7 - 1896*s + 3145464 = 0."
},
{
"from": "gpt",
"value": "3318"
}
] |
[
{
"from": "human",
"value": "Evaluate (-1)/(-8*(-3)/(-6) + 3)."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "In base 6, what is -200 - 2?"
},
{
"from": "gpt",
"value": "-202"
}
] |
[
{
"from": "human",
"value": "Let h(w) = w**3 + w + 10. Let n be (-2 + 2)/(-4 + 6). Let c be h(n). Solve -i + c = i for i."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Suppose 8*y - 3*y - 10 = 0. Let f be (10 - y)/((-4)/(-6)). Let r be 24/f - (-8)/(-2). Which is smaller: -3 or r?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Let m(n) = -7*n - 48. Let c be m(-7). Solve -k = -6 + c for k."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let q = -5 - -4.9. Let m = -0.4 + -0.6. Which is the nearest to q? (a) 1 (b) m (c) 0"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is 314 to the power of 1/10, to the nearest integer?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "-5 divided by 139"
},
{
"from": "gpt",
"value": "-5/139"
}
] |
[
{
"from": "human",
"value": "Suppose -2*k = -v, v = 2*v + 4*k - 6. Let b(y) = y + 10. Let o be b(-6). Find the second derivative of -3*d + o*d**2 + 5*d - v*d**2 wrt d."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Suppose 0 = -22*n + 25*n - 2499. What is the units digit of n?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Solve 0*y - 5*y = -2*l + 15, 4*y + 29 = 5*l for y."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Solve -w = 5*t + 11, -5*w = -3*t + 8*t + 15 for w."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Two letters picked without replacement from {f: 1, k: 1, i: 1, l: 1, y: 2, d: 2}. What is prob of picking 1 f and 1 d?"
},
{
"from": "gpt",
"value": "1/14"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0 in 9/8, -1, 2, -7?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Is 4781 prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let l be (1 - 0/4) + 2. Suppose 0 = 5*v - 5*k + 2 + 3, -4*v - 3*k = -l. Solve v = 5*d + 5*t - 4*t - 29, 4*t - 41 = -5*d for d."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Simplify (-5*sqrt(135))/(sqrt(48)/sqrt(4))."
},
{
"from": "gpt",
"value": "-15*sqrt(5)/2"
}
] |
[
{
"from": "human",
"value": "What is the next term in 11, 42, 89, 158, 255, 386, 557?"
},
{
"from": "gpt",
"value": "774"
}
] |
[
{
"from": "human",
"value": "Put -1/5, 1, -5, -48 in decreasing order."
},
{
"from": "gpt",
"value": "1, -1/5, -5, -48"
}
] |
[
{
"from": "human",
"value": "What is the least common multiple of 88 and 132?"
},
{
"from": "gpt",
"value": "264"
}
] |
[
{
"from": "human",
"value": "Let w(r) = 2*r - 3. Let y be w(4). Suppose -4*c + 23 = -y*p, p + 9 = 3*c - 0*p. Solve c*d + 2*d = 16 for d."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is 473 minutes before 3:30 PM?"
},
{
"from": "gpt",
"value": "7:37 AM"
}
] |
[
{
"from": "human",
"value": "How many centimeters are there in 1/16 of a kilometer?"
},
{
"from": "gpt",
"value": "6250"
}
] |
[
{
"from": "human",
"value": "Solve -10*f**3 - 14*f + 166 + 2*f**4 + 18*f**2 - 82 - 80 = 0 for f."
},
{
"from": "gpt",
"value": "1, 2"
}
] |
[
{
"from": "human",
"value": "Let f(r) be the second derivative of -r**9/20160 - r**8/2240 - r**7/840 + r**4/6 + 4*r. Let q(k) be the third derivative of f(k). Determine w so that q(w) = 0."
},
{
"from": "gpt",
"value": "-2, 0"
}
] |
[
{
"from": "human",
"value": "Which is the third smallest value? (a) -5 (b) -8 (c) -2"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Solve 0*l + 5*l + 25 = 0 for l."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Calculate 500 divided by 2."
},
{
"from": "gpt",
"value": "250"
}
] |
[
{
"from": "human",
"value": "Which is the third biggest value? (a) 1/2 (b) 4 (c) -82 (d) 0"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "Suppose 6 - 206 = 5*d. Let n be (-24)/(-10)*d/(-6). Solve 2*i + 2*i + n = 0 for i."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "-9.8 * -0.1"
},
{
"from": "gpt",
"value": "0.98"
}
] |
[
{
"from": "human",
"value": "Is -1 greater than 1/202?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 857 is divided by 24."
},
{
"from": "gpt",
"value": "17"
}
] |
[
{
"from": "human",
"value": "Let y = -110 + 158. Calculate the greatest common factor of 528 and y."
},
{
"from": "gpt",
"value": "48"
}
] |
[
{
"from": "human",
"value": "Let i = -19 + 45. Let n be 9/6 + 1/2. Suppose -5*m + 3*b + 58 = 0, 0 = -n*m - 0*b + b + 24. Calculate the remainder when i is divided by m."
},
{
"from": "gpt",
"value": "12"
}
] |
[
{
"from": "human",
"value": "Differentiate 105 - 78*s**2 - 159 - s - 113 - 102 with respect to s."
},
{
"from": "gpt",
"value": "-156*s - 1"
}
] |
[
{
"from": "human",
"value": "Let r(t) be the second derivative of 2*t**6/135 + t**5/18 + t**4/18 - t**3/27 - t**2/9 - 12*t. Let r(x) = 0. Calculate x."
},
{
"from": "gpt",
"value": "-1, 1/2"
}
] |
[
{
"from": "human",
"value": "What is 86/18 + -9*(-6)/243?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is (-3)/(-9)*(-22)/(-33)?"
},
{
"from": "gpt",
"value": "2/9"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common factor of 2536 and 8."
},
{
"from": "gpt",
"value": "8"
}
] |
[
{
"from": "human",
"value": "What is the next term in 130, 263, 414, 595, 818, 1095, 1438?"
},
{
"from": "gpt",
"value": "1859"
}
] |
[
{
"from": "human",
"value": "Let m(h) be the first derivative of h**5/70 + h**4/14 + 2*h**3/21 - 4*h - 4. Let c(y) be the first derivative of m(y). Factor c(v)."
},
{
"from": "gpt",
"value": "2*v*(v + 1)*(v + 2)/7"
}
] |
[
{
"from": "human",
"value": "Let b(g) = 9 - 2*g - 9. Let y(s) be the third derivative of -7*s**4/24 + 30*s**2. Determine y(b(m))."
},
{
"from": "gpt",
"value": "14*m"
}
] |
[
{
"from": "human",
"value": "What is the next term in 10, 15, 30, 61, 114, 195, 310, 465?"
},
{
"from": "gpt",
"value": "666"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 1 in -0.2, -0.01, 2, -8?"
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 17954 is divided by 431?"
},
{
"from": "gpt",
"value": "283"
}
] |
[
{
"from": "human",
"value": "Let r(i) = -81*i**3 - 48*i**2 - 33*i + 33. Let b = 3 - 5. Let j(n) = 5*n**3 + 3*n**2 + 2*n - 2. Let s(o) = b*r(o) - 33*j(o). Factor s(h)."
},
{
"from": "gpt",
"value": "-3*h**2*(h + 1)"
}
] |
[
{
"from": "human",
"value": "In base 13, what is -57cb - 0?"
},
{
"from": "gpt",
"value": "-57cb"
}
] |
[
{
"from": "human",
"value": "Let d(g) = -6*g - 9. Calculate d(-5)."
},
{
"from": "gpt",
"value": "21"
}
] |
[
{
"from": "human",
"value": "What is the value of 3*(235/94)/((-3)/2)?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve 46*v = 39*v - 42 for v."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Calculate (-5*(-4)/(-168))/((-10)/8)."
},
{
"from": "gpt",
"value": "2/21"
}
] |
[
{
"from": "human",
"value": "Let p(f) = f**3 + f**2 + f - 3. Let t(s) = -4*s**3 - 4*s**2 - 6*s + 15. Let v(c) = -11*p(c) - 2*t(c). Let a be ((-6)/(-18))/((-2)/12). Does 13 divide v(a)?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Simplify (sqrt(24)/sqrt(2) + sqrt(12)/sqrt(4) + sqrt(3) + 3)**2 + ((sqrt(48)/sqrt(2))/sqrt(8) - sqrt(3))*-4."
},
{
"from": "gpt",
"value": "24*sqrt(3) + 57"
}
] |
[
{
"from": "human",
"value": "Calculate 2 - 13/7 - 473/(-903)."
},
{
"from": "gpt",
"value": "2/3"
}
] |
[
{
"from": "human",
"value": "What is the x'th term of 151, 94, 7, -104, -233, -374?"
},
{
"from": "gpt",
"value": "x**3 - 21*x**2 - x + 172"
}
] |
[
{
"from": "human",
"value": "Subtract -0.0658 from -12."
},
{
"from": "gpt",
"value": "-11.9342"
}
] |
[
{
"from": "human",
"value": "What is 36.1 rounded to 0 decimal places?"
},
{
"from": "gpt",
"value": "36.0"
}
] |
[
{
"from": "human",
"value": "3 (base 10) to base 5"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the value of 19 + -12 + 3 + -6?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Let m be (-35)/(-1)*(-45)/(-25). Calculate the greatest common factor of m and 7."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Let -q**5 + 973*q**4 - 237167*q**3 + 235223*q**2 + 237168*q - 236196 = 0. What is q?"
},
{
"from": "gpt",
"value": "-1, 1, 486"
}
] |
[
{
"from": "human",
"value": "Differentiate -234*p**2*y**2 - 102*p**2 - 45*y**2 + 710 with respect to y."
},
{
"from": "gpt",
"value": "-468*p**2*y - 90*y"
}
] |
[
{
"from": "human",
"value": "Suppose m - 27 = -2*m + 4*f, -5 = 2*m + 5*f. Solve -3*g + m*g = -6 for g."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -5*c**2*h**2 + 20*c**2 - 40*c*h**3 - h wrt h."
},
{
"from": "gpt",
"value": "-10*c**2 - 240*c*h"
}
] |
[
{
"from": "human",
"value": "Sum 6 and 3078.71."
},
{
"from": "gpt",
"value": "3084.71"
}
] |
[
{
"from": "human",
"value": "Find the second derivative of -60*g**4*y**3 + g**3*y**3 + 183*g*y**3 - 2*g wrt g."
},
{
"from": "gpt",
"value": "-720*g**2*y**3 + 6*g*y**3"
}
] |
[
{
"from": "human",
"value": "What is the value of 2 + -4 + -4 + -4 + 9?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let c(w) = -2*w**2 - w. Let d(p) be the second derivative of p**4/2 + p**3/2 + 4*p. Give 11*c(v) + 4*d(v)."
},
{
"from": "gpt",
"value": "2*v**2 + v"
}
] |
[
{
"from": "human",
"value": "Round -0.00489 to 3 dps."
},
{
"from": "gpt",
"value": "-0.005"
}
] |
[
{
"from": "human",
"value": "What is 65145 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "255"
}
] |
[
{
"from": "human",
"value": "Evaluate 2*((-80)/(-56))/(8/14)."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Solve 16 = 13*p - 23 for p."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 10/7? (a) 6 (b) 0.5 (c) 1/8 (d) -2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is 956 to the power of 1/3, to the nearest integer?"
},
{
"from": "gpt",
"value": "10"
}
] |
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