conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Which is the biggest value? (a) 0.553 (b) 4 (c) -2/7"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Find the third derivative of -4*p**3*q**3*v**2 + 150*p**3*q**2 + 146*p**2*q**3*v**2 - 2*p**2*q**2*v**2 - 3*q**2 wrt q."
},
{
"from": "gpt",
"value": "-24*p**3*v**2 + 876*p**2*v**2"
}
] |
[
{
"from": "human",
"value": "What is next in 17, 24, 31, 38, 45?"
},
{
"from": "gpt",
"value": "52"
}
] |
[
{
"from": "human",
"value": "Let g(v) be the second derivative of -4*v - v**3 + 0*v**2 + 1/4*v**4 + 0. Solve g(k) = 0."
},
{
"from": "gpt",
"value": "0, 2"
}
] |
[
{
"from": "human",
"value": "What is -46 divided by -360?"
},
{
"from": "gpt",
"value": "23/180"
}
] |
[
{
"from": "human",
"value": "Is 1 > -18/95?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let a(g) = -4610*g**2. Let s(p) = -p**2. Calculate s(a(o))."
},
{
"from": "gpt",
"value": "-21252100*o**4"
}
] |
[
{
"from": "human",
"value": "What is next in -29, -27, -25?"
},
{
"from": "gpt",
"value": "-23"
}
] |
[
{
"from": "human",
"value": "Suppose 3*q = 4*k + 10, 0*k + 4 = -4*k. Suppose 0 = -3*d + 5*f + 18, 11 = d - 4*f - q. Sort d, -2, -0.2 in increasing order."
},
{
"from": "gpt",
"value": "-2, -0.2, d"
}
] |
[
{
"from": "human",
"value": "Let b be (-3)/(9/(-12)*-6). Which is smaller: -20 or b?"
},
{
"from": "gpt",
"value": "-20"
}
] |
[
{
"from": "human",
"value": "Let k = -138 + 963/7. Sort 1/6, k, 3 in ascending order."
},
{
"from": "gpt",
"value": "k, 1/6, 3"
}
] |
[
{
"from": "human",
"value": "In base 15, what is 5 + 35?"
},
{
"from": "gpt",
"value": "3a"
}
] |
[
{
"from": "human",
"value": "What is -132 divided by 44?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "What is i in 5*i**5 - 6175*i**4 - 6185*i**3 + 6175*i**2 + 6180*i = 0?"
},
{
"from": "gpt",
"value": "-1, 0, 1, 1236"
}
] |
[
{
"from": "human",
"value": "What is the third smallest value in 8/7, 3/7, 3, -0.2?"
},
{
"from": "gpt",
"value": "8/7"
}
] |
[
{
"from": "human",
"value": "What is the first derivative of -6*g*h**2 + 39*g*h - 2*g + 17487*h**2 wrt g?"
},
{
"from": "gpt",
"value": "-6*h**2 + 39*h - 2"
}
] |
[
{
"from": "human",
"value": "Suppose 6 = -0*c + 2*c. Suppose 0 = -c*i + 22 + 26. What is the highest common factor of 32 and i?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "Let z(v) = 1. Let b(h) = 2*h + 4. Let q = 7 + -12. Let r be (0 - q) + -2*1. Suppose 0*f - 13 = -5*f - 4*p, 0 = -4*f + r*p - 2. Determine f*b(g) - 2*z(g)."
},
{
"from": "gpt",
"value": "2*g + 2"
}
] |
[
{
"from": "human",
"value": "Suppose -9 = -j + 7. What is the greatest common divisor of j and 32?"
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "What is the l'th term of -10, -19, -32, -49, -70, -95, -124?"
},
{
"from": "gpt",
"value": "-2*l**2 - 3*l - 5"
}
] |
[
{
"from": "human",
"value": "Add -1665147513 and -0.07."
},
{
"from": "gpt",
"value": "-1665147513.07"
}
] |
[
{
"from": "human",
"value": "Calculate the lowest common multiple of 67 - (57/21 + 6/21) and 128."
},
{
"from": "gpt",
"value": "128"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -5 - -201?"
},
{
"from": "gpt",
"value": "163"
}
] |
[
{
"from": "human",
"value": "Convert -212 (base 3) to base 15."
},
{
"from": "gpt",
"value": "-18"
}
] |
[
{
"from": "human",
"value": "Suppose w + 5*i = -17, 0*w + w - 23 = 5*i. Suppose -3*u = -w - 3. Factor 2/3*c**u + 0*c + 0."
},
{
"from": "gpt",
"value": "2*c**2/3"
}
] |
[
{
"from": "human",
"value": "What is the hundreds digit of 3149?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Which is the closest to 1? (a) 2 (b) -0.09 (c) 1.4"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Multiply 0 and -5423."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is 41 minutes after 12:43 AM?"
},
{
"from": "gpt",
"value": "1:24 AM"
}
] |
[
{
"from": "human",
"value": "Let k(s) be the second derivative of -s**7/8820 - s**6/2520 + s**5/210 + s**4/6 - 4*s. Let w(q) be the third derivative of k(q). Let w(o) = 0. What is o?"
},
{
"from": "gpt",
"value": "-2, 1"
}
] |
[
{
"from": "human",
"value": "Simplify (-1 + (-6*(-3 + sqrt(343)*5))**2)*3."
},
{
"from": "gpt",
"value": "927069 - 22680*sqrt(7)"
}
] |
[
{
"from": "human",
"value": "Suppose 3*a = 7*a. Suppose a = 2*n + 2*d + 14, 4*n - 5*d + d + 4 = 0. What is the units digit of 4/16 + (-3)/n?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "What is (1/(-2))/((2 + -4)/(-20))?"
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve 0 = 2*c - 3*g + 5 + 1, 0 = 5*g for c."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Suppose -r + 5 = 4*r. Let s = r + -6/5. Let m be (1 + -4)*(-14)/147. Which is the second smallest value? (a) m (b) 0.04 (c) s"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Let s = -22 - -25. Which is the third smallest value? (a) s (b) 0 (c) -2/11"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let c = 5 + -3. Let a = 183.1 + -185.099. Let v = a + c. What is v rounded to 3 decimal places?"
},
{
"from": "gpt",
"value": "0.001"
}
] |
[
{
"from": "human",
"value": "Let y be (-6)/(-18) - (-50)/(-114). Which is the second smallest value? (a) 4 (b) y (c) 5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"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": "Calculate 595*0.3."
},
{
"from": "gpt",
"value": "178.5"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 197 - 197 + g**2."
},
{
"from": "gpt",
"value": "g**2"
}
] |
[
{
"from": "human",
"value": "Let p be (-10)/3 - (-6)/(-9). Let m = -12.543 - -12.143. Sort p, 2, 0.2, m in increasing order."
},
{
"from": "gpt",
"value": "p, m, 0.2, 2"
}
] |
[
{
"from": "human",
"value": "Let n = 32 + -354/11. Which is the biggest value? (a) n (b) -4 (c) 4/5"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "Let g(m) = -m**2 + 16*m - 3. Let q be g(17). Let t = 38 + q. Calculate the remainder when 33 is divided by t."
},
{
"from": "gpt",
"value": "15"
}
] |
[
{
"from": "human",
"value": "Let l(f) = 45 - 17*f. What is l(-4)?"
},
{
"from": "gpt",
"value": "113"
}
] |
[
{
"from": "human",
"value": "Let b = 26 - 13. Find the third derivative of -9*c**2 + c**6 + b*c**2 - 3*c**6 wrt c."
},
{
"from": "gpt",
"value": "-240*c**3"
}
] |
[
{
"from": "human",
"value": "Suppose -10 = 5*a - 4*t, -3*a + 0*t - 2*t + 16 = 0. Let b = -3 + 5. Factor 2*c**4 + 9*c**3 + c + 6*c**a + b*c**4 + 0*c."
},
{
"from": "gpt",
"value": "c*(c + 1)**2*(4*c + 1)"
}
] |
[
{
"from": "human",
"value": "Calculate the lowest common multiple of 14 and 9890."
},
{
"from": "gpt",
"value": "69230"
}
] |
[
{
"from": "human",
"value": "Let b(u) = -u**4 - u. Let w(r) = 5*r**4 + 30*r**2 - 4*r. Let p(s) = -4*b(s) + w(s). Find the third derivative of p(l) wrt l."
},
{
"from": "gpt",
"value": "216*l"
}
] |
[
{
"from": "human",
"value": "Calculate the highest common divisor of 1293 and 51."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Solve x - 4*x - 3*n - 9 = 0, -4*n - 8 = 3*x for x."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let x(r) be the second derivative of r**6/20 - 3*r**5/8 + 7*r**4/8 - 3*r**3/4 + 17*r. What is y in x(y) = 0?"
},
{
"from": "gpt",
"value": "0, 1, 3"
}
] |
[
{
"from": "human",
"value": "Let l(h) = -h**3 + 2*h**2 + 2*h + 6. Let w be l(3). Solve w*m - 2 - 7 = 0 for m."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "In base 6, what is -50110 + 0?"
},
{
"from": "gpt",
"value": "-50110"
}
] |
[
{
"from": "human",
"value": "What is 2/(-10)*(-10)/6?"
},
{
"from": "gpt",
"value": "1/3"
}
] |
[
{
"from": "human",
"value": "What is the seventh root of 79878 to the nearest integer?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "What is the k'th term of -147, -145, -143?"
},
{
"from": "gpt",
"value": "2*k - 149"
}
] |
[
{
"from": "human",
"value": "Let j be 2/(-5) + 632/5. Suppose x + 2*x = -j. Is x/(-3)*(-1)/(-2) even?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Is 184 a multiple of 5?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the value of (-5*5/75)/(2/12)?"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 48 minutes after 4:45 AM?"
},
{
"from": "gpt",
"value": "5:33 AM"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 22555."
},
{
"from": "gpt",
"value": "5, 13, 347"
}
] |
[
{
"from": "human",
"value": "Suppose -t = -6*t. Suppose 6 - 18 = 4*d. Let k be d/2 + (-3)/6. Put 4, t, k in ascending order."
},
{
"from": "gpt",
"value": "k, t, 4"
}
] |
[
{
"from": "human",
"value": "Suppose 2*h - 16 = -4*f, 3*h - 2*h - 11 = -5*f. Let s = 10 - h. Suppose 11*r - 6*r = 75. Solve s*m + r + 5 = 0 for m."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let h = 66 - 61. Let y(k) be the third derivative of k**6/360 - k**5/40 - k**4/24 + 5*k**3/6 + 3*k**2. Let o(v) be the first derivative of y(v). Determine o(h)."
},
{
"from": "gpt",
"value": "9"
}
] |
[
{
"from": "human",
"value": "Suppose i - 3 = -1. Let n be 12/i + -3 + 2. Suppose -4*m - 19 = -5*x - m, 3*x + 9 = -n*m. Solve q - 15 = -x*q for q."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let o = 2/115 - -44/115. Let r = -20 - -14.8. Let f = r - -5. Which is the closest to 1? (a) f (b) o (c) 0.2"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Is (-286)/(-4) + 1/2 a multiple of 6?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let i be 6/4*16/(-12). Suppose 8 = -2*f + 4*d - d, -f - 3*d = -5. Let w be f - (-6 + (1 - i)). Solve -w*q - q + 3 = 0 for q."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "228/171*(-2)/(112/6)"
},
{
"from": "gpt",
"value": "-1/7"
}
] |
[
{
"from": "human",
"value": "Suppose 5*s = -5*s + 50. Which is smaller: s or -3/7?"
},
{
"from": "gpt",
"value": "-3/7"
}
] |
[
{
"from": "human",
"value": "Let a = 2 - -28. List the prime factors of a."
},
{
"from": "gpt",
"value": "2, 3, 5"
}
] |
[
{
"from": "human",
"value": "What is 1/10 of a millennium in years?"
},
{
"from": "gpt",
"value": "100"
}
] |
[
{
"from": "human",
"value": "Expand (1 - 6 + 4 + 3 + 2 - 6 + (1 - 3 + 3)*(-7 + 3 + 1))*(11*q**4 - 16*q**4 - 31*q**4)."
},
{
"from": "gpt",
"value": "180*q**4"
}
] |
[
{
"from": "human",
"value": "Factor 0 + 11/7*c**2 + c**4 + 2/7*c + 16/7*c**3."
},
{
"from": "gpt",
"value": "c*(c + 1)**2*(7*c + 2)/7"
}
] |
[
{
"from": "human",
"value": "Factor 4*m**5 + 10*m**4 + 8*m**3 + 2*m**2."
},
{
"from": "gpt",
"value": "2*m**2*(m + 1)**2*(2*m + 1)"
}
] |
[
{
"from": "human",
"value": "What is the difference between -4 and -0.1052074?"
},
{
"from": "gpt",
"value": "3.8947926"
}
] |
[
{
"from": "human",
"value": "Let v = 3.94 - -0.06. Let j = -490 + 495. Which is the smallest value? (a) j (b) 0.3 (c) v"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "What is the difference between -1480777 and -30?"
},
{
"from": "gpt",
"value": "1480747"
}
] |
[
{
"from": "human",
"value": "Let p(a) be the second derivative of a**5/20 - a**4/12 - 5*a. Solve p(w) = 0."
},
{
"from": "gpt",
"value": "0, 1"
}
] |
[
{
"from": "human",
"value": "Suppose x - 15 = -2*x. Let t be (x - -9) + 0 + 2. Solve -t = -5*b + 4 for b."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "In base 4, what is 113 - -2303?"
},
{
"from": "gpt",
"value": "3022"
}
] |
[
{
"from": "human",
"value": "Let c(l) be the third derivative of l**5/60 + l**4/8 + l**3/2 - l**2. Give c(-2)."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Which is greater: -440 or -7?"
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "-756 times 2"
},
{
"from": "gpt",
"value": "-1512"
}
] |
[
{
"from": "human",
"value": "What is 0 (base 2) in base 16?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is 99 divided by -99?"
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "What is the next term in 42, 85, 128, 171, 214, 257?"
},
{
"from": "gpt",
"value": "300"
}
] |
[
{
"from": "human",
"value": "Let s = -2/153 - 451/612. What is the biggest value in 3, s, 4, 1?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What is the f'th term of -110, -221, -330, -437, -542, -645?"
},
{
"from": "gpt",
"value": "f**2 - 114*f + 3"
}
] |
[
{
"from": "human",
"value": "Suppose 2*r + 3*g - 7 = 3*r, -5*r = -4*g + 2. Let x = 28 + -16. Suppose r*u + 5*t - 3 = x, 2*u + 5 = -t. What is the biggest value in -4, u, -3?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Is 24527 composite?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Solve -18*f + 11*f = 7 for f."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Work out 0 - 2398."
},
{
"from": "gpt",
"value": "-2398"
}
] |
[
{
"from": "human",
"value": "Three letters picked without replacement from {m: 2, f: 9}. What is prob of picking 1 f and 2 m?"
},
{
"from": "gpt",
"value": "3/55"
}
] |
[
{
"from": "human",
"value": "Let s(n) = 2*n**2 + 6*n - 6. Is 15 a factor of s(-6)?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Suppose -2*l + 0*l + 14 = 0. Let g(q) = 2*q**2 + 6*q - 7. Calculate the remainder when g(-5) is divided by l."
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 38751 is divided by 1691."
},
{
"from": "gpt",
"value": "1549"
}
] |
[
{
"from": "human",
"value": "What comes next: 10, 101, 376, 937, 1886?"
},
{
"from": "gpt",
"value": "3325"
}
] |
[
{
"from": "human",
"value": "How many days are there in three sevenths of a week?"
},
{
"from": "gpt",
"value": "3"
}
] |
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