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math

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[ { "from": "human", "value": "What is the highest common factor of 54 and 117?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is next in 672, 732, 802, 888, 996?" }, { "from": "gpt", "value": "1132" } ]
[ { "from": "human", "value": "What is the remainder when 39*2 - -4 - 1 is divided by 21?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "What is ((-5)/3)/((-80)/384)*1?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Find the third derivative of -6*g**3*v**3 + 33*g**3 + g**2*v**2 wrt v." }, { "from": "gpt", "value": "-36*g**3" } ]
[ { "from": "human", "value": "What is the x'th term of -676, -1349, -2004, -2635, -3236?" }, { "from": "gpt", "value": "x**3 + 3*x**2 - 689*x + 9" } ]
[ { "from": "human", "value": "What is -3*((-24)/3)/24?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the second biggest value in -0.4, -5, 4?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "What is one fifth of a hour in minutes?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is the value of (8/6)/(19/((-18981)/74))?" }, { "from": "gpt", "value": "-18" } ]
[ { "from": "human", "value": "Let a be 0/(-1 - (-6)/3). Solve -2*k + 5*n - 5 = 0, -n + a - 1 = 0 for k." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 5*p**5/3 - 5*p**4 - 5*p**3/3 + 5*p**2 = 0. What is p?" }, { "from": "gpt", "value": "-1, 0, 1, 3" } ]
[ { "from": "human", "value": "Let u(p) = p**2 - 7*p - 6. Let g be u(8). Solve q - g = 3*a + 6, 4*a = 4*q for a." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let x(t) = -5*t**2 + 32*t + 56. Let g(z) = 2*z**2 - 11*z - 19. Let f(b) = 8*g(b) + 3*x(b). Factor f(o)." }, { "from": "gpt", "value": "(o + 4)**2" } ]
[ { "from": "human", "value": "Let p = -1/16 - 3/16. Let l = 3 - 3.1. What is the closest to l in 4, p, 0.3?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "Simplify (a/(a**(3/5)/a))**28 assuming a is positive." }, { "from": "gpt", "value": "a**(196/5)" } ]
[ { "from": "human", "value": "Simplify 5*(sqrt(22)/sqrt(2) + 1)*-2 + 2." }, { "from": "gpt", "value": "-10*sqrt(11) - 8" } ]
[ { "from": "human", "value": "What is seven quarters of a litre in millilitres?" }, { "from": "gpt", "value": "1750" } ]
[ { "from": "human", "value": "Which is the closest to 0? (a) -4 (b) 2/11 (c) -7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the greatest common factor of 6186 and 6?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose 5*t + 3 = -m, 5*m - m - 9 = t. Let d = 7 - t. What is the greatest common factor of 56 and d?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "List the prime factors of 42931." }, { "from": "gpt", "value": "7, 6133" } ]
[ { "from": "human", "value": "Is 8663 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 11, what is -5 - -40?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "(-8)/(-2) + 25/(-5)" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Is 27/36 + (-1321)/(-4) composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -5*i = 3*l, -4*i + 4 = l + 11 for l." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 483 and 15?" }, { "from": "gpt", "value": "2415" } ]
[ { "from": "human", "value": "Is 310 even?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the f'th term of 50, 91, 132, 173, 214?" }, { "from": "gpt", "value": "41*f + 9" } ]
[ { "from": "human", "value": "Let o be (-87)/(-27) + 2/(-9). Let a be -1 + 15/o + -9. Sort a, 7, 5 in decreasing order." }, { "from": "gpt", "value": "7, 5, a" } ]
[ { "from": "human", "value": "Evaluate 10 + -9 - (-10 + (-4 - -8))." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Solve 1550*v = 1568*v + 126 for v." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "How many minutes are there between 5:24 AM and 7:53 AM?" }, { "from": "gpt", "value": "149" } ]
[ { "from": "human", "value": "What is the value of 13 + -12 - (1 + (-1 - 4))?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve 38*t + 30 = 33*t for t." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is the m'th term of 22, 31, 40, 49, 58?" }, { "from": "gpt", "value": "9*m + 13" } ]
[ { "from": "human", "value": "Suppose -3*n + 2*c = -0*c - 18, 18 = 3*n + 2*c. Suppose -11*j + n*j = -20. Suppose 0 = -5*b + 69 + 151. What is the greatest common factor of j and b?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let s(j) = 3*j**2 + 9*j + 1. Let g be s(-6). Let y = g - 160/3. What is the second biggest value in -0.5, y, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate -3 + 4 + 0 + 3." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let h = 4.9 + -5.4. Let q = 0 + 0. What is the nearest to q in 1, h, -2/7?" }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Let q(a) = -4*a**2 + 3*a - 9. Let p be (-8)/20 - (-17)/5. Let x(d) = -7*d**2 + 7*d - 18. Let f(w) = p*x(w) - 5*q(w). Factor f(z)." }, { "from": "gpt", "value": "-(z - 3)**2" } ]
[ { "from": "human", "value": "Let s(w) = w - 5. Give s(10)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Does 43 divide 1567071016?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "(-30)/16 + 19/((-152)/(-16))" }, { "from": "gpt", "value": "1/8" } ]
[ { "from": "human", "value": "Let y = 34 + -32. Suppose 0 = 4*v - 3*v - 5. Let d(o) = o**3 - 4*o**2 - 6*o + 7. Let l be d(v). Solve 3*b = y*b + l for b." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "-1*-9*(-7)/63" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Solve 2*d + 2*d - 2*z = -16, 5*z = 5*d + 25 for d." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "(530/159)/(4/6)" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let i = 11.72 - 15.72. Let d = -0.04 + 0. Let m = -0.34 - d. What is the third biggest value in m, i, 3?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "Let y = -15 - -15. Suppose 0*b + 6 = -2*w + 4*b, w + 3*b - 12 = y. What is the biggest value in 5, 1, w?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the g'th term of -148, -108, -34, 80, 240, 452?" }, { "from": "gpt", "value": "g**3 + 11*g**2 - 160" } ]
[ { "from": "human", "value": "What is the value of 5/(60/8)*6?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "How many weeks are there in 272823.516 minutes?" }, { "from": "gpt", "value": "27.065825" } ]
[ { "from": "human", "value": "Suppose -2*i - 20 = -7*i, 2*t - 78 = -3*i. Calculate the greatest common divisor of t and 22." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Simplify -3*(sqrt(3) - (1 + sqrt(75)))." }, { "from": "gpt", "value": "3 + 12*sqrt(3)" } ]
[ { "from": "human", "value": "What is the square root of 30807 to the nearest integer?" }, { "from": "gpt", "value": "176" } ]
[ { "from": "human", "value": "Let y(m) = m**3 - m**2 + m - 2. Let h be y(2). Suppose 5*w - 37 = -157. Let r = w - -36. Solve 3*z - 3*s = -6, -2*z - 2*s + h = -r for z." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 30 = -22*q - 36 for q." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the nearest to 2 in -4, -107, -6?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate -223 - -1294." }, { "from": "gpt", "value": "1071" } ]
[ { "from": "human", "value": "What is next in 140, 279, 418?" }, { "from": "gpt", "value": "557" } ]
[ { "from": "human", "value": "What is 12220112 (base 3) in base 6?" }, { "from": "gpt", "value": "31535" } ]
[ { "from": "human", "value": "What is -615 divided by -123?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Product of 0.47 and 85." }, { "from": "gpt", "value": "39.95" } ]
[ { "from": "human", "value": "Let c = -1.59 - -1.7. Let d = c - 0.11. Are d and -2/17 non-equal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 4*v = -39 + 67 for v." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "(33/15 - 3)*(-10)/4" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 15, what is a90 - a?" }, { "from": "gpt", "value": "a85" } ]
[ { "from": "human", "value": "Let r = 15 + -9. Let g be (0 - -74)*3/r. Suppose 2*i - g = -7. Does 6 divide i?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is next in -363, -357, -347, -333, -315, -293?" }, { "from": "gpt", "value": "-267" } ]
[ { "from": "human", "value": "Put 0.3, 2, -4, 2/3, 88 in descending order." }, { "from": "gpt", "value": "88, 2, 2/3, 0.3, -4" } ]
[ { "from": "human", "value": "Let i = -14 - 0. Is (4 - i) + 1*-3 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the q'th term of 90, 131, 172, 213, 254?" }, { "from": "gpt", "value": "41*q + 49" } ]
[ { "from": "human", "value": "Evaluate 0 + 2 + -7 + 5." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate 3849 divided by 3." }, { "from": "gpt", "value": "1283" } ]
[ { "from": "human", "value": "What is the nearest to -0.2 in -0.18, -3/8, -4, -0.4?" }, { "from": "gpt", "value": "-0.18" } ]
[ { "from": "human", "value": "Let p(f) = -f + 3 + 1 - f**2 - 3. Let w be p(1). Let d be (2/(-3))/(w/(-3)). Which is smaller: -3 or d?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let j = 1.6 + -1.6. Let f = -0.3 + j. Let d be 2/20 - 1/2. Which is the nearest to -1? (a) d (b) 4 (c) f" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let k(b) = 1 - b. Let v be k(-2). Let c = 11 - v. List the prime factors of c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate -359 divided by 2." }, { "from": "gpt", "value": "-359/2" } ]
[ { "from": "human", "value": "What is the units digit of 6176?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let c = 429 - 428.79968. Let p = 0.2 - c. What is p rounded to five dps?" }, { "from": "gpt", "value": "-0.00032" } ]
[ { "from": "human", "value": "Simplify (sqrt(30) - (sqrt(30) + -6*(sqrt(30) - sqrt(90)/sqrt(3)) + sqrt(30) - sqrt(30)))/((sqrt(12)*-1 - sqrt(12))/sqrt(2)) + 2." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the next term in 3, 8, 7, -6, -37, -92, -177, -298?" }, { "from": "gpt", "value": "-461" } ]
[ { "from": "human", "value": "What is the distance between -3850.36 and -0.2?" }, { "from": "gpt", "value": "3850.16" } ]
[ { "from": "human", "value": "What is -6 - -22 - 5 - 7?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let v = 72 + -72. Solve v*f**2 - 3/4*f + 0 + 3/4*f**3 = 0 for f." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Let z(m) be the second derivative of 67*m**5/10 - m**4/6 - 395*m**2/2 + 235*m. Differentiate z(t) with respect to t." }, { "from": "gpt", "value": "402*t**2 - 4*t" } ]
[ { "from": "human", "value": "Let t be 14*5 + (2 - 2). Let d be t/(-4)*(1 + -3). Suppose n = -0*n + d. Is n a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "5 divided by -156" }, { "from": "gpt", "value": "-5/156" } ]
[ { "from": "human", "value": "Find d such that -d**4 + 12*d**3 - 11*d**2 = 0." }, { "from": "gpt", "value": "0, 1, 11" } ]
[ { "from": "human", "value": "Let o(d) be the first derivative of -d**5/60 + d**4/24 - d**2/2 - 3. Let n(k) be the second derivative of o(k). Give n(0)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose 2*j - 6*j + 8 = 3*h, 12 = -3*h. What is the third derivative of 4*l**5 - l**j + 3*l**2 - 5*l**2 wrt l?" }, { "from": "gpt", "value": "180*l**2" } ]
[ { "from": "human", "value": "What is seven quarters of a litre in millilitres?" }, { "from": "gpt", "value": "1750" } ]
[ { "from": "human", "value": "Let y(d) = d**3 - 5*d**2 - 8*d + 6. Let q be y(6). Let v be 10*(2 + 9/q). Let c(t) = t + v*t - t - 1. Determine c(1)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the hundreds digit of 70277?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let k(c) = c**3 - 4*c**2 + 3*c - 2. Let p be k(3). Let b = -2 - -1. What is the units digit of (-7 - p)*b - -1?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "6 divided by 9" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "Let d = 3 + -3. Let j = d + 0. Suppose j = -4*y + 17157 + 10043. Round y to the nearest 1000." }, { "from": "gpt", "value": "7000.0" } ]