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math

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[ { "from": "human", "value": "Does 13 divide 14149?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is greater: -155 or -158?" }, { "from": "gpt", "value": "-155" } ]
[ { "from": "human", "value": "Let n(o) = 54 - 4*o. Let z be n(11). Solve x + z = 6*x for x." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let u = 7 + -11. Let j = -2 - u. Suppose -198*g - 45 = -201*g. Solve -5 = j*i - g for i." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Round 0.00064486 to six decimal places." }, { "from": "gpt", "value": "0.000645" } ]
[ { "from": "human", "value": "511 divided by -15" }, { "from": "gpt", "value": "-511/15" } ]
[ { "from": "human", "value": "Let g(f) be the first derivative of 471/20*f**4 + 6/5*f**2 - 594/25*f**5 - 44/5*f**3 - 3 + 0*f + 81/10*f**6. Factor g(y)." }, { "from": "gpt", "value": "3*y*(y - 1)**2*(9*y - 2)**2/5" } ]
[ { "from": "human", "value": "Simplify (-5*(sqrt(720) + -4*(-1 + sqrt(720) - sqrt(720)) - sqrt(720) - sqrt(720)))**2." }, { "from": "gpt", "value": "18400 - 2400*sqrt(5)" } ]
[ { "from": "human", "value": "Let i = -801/4 + 204. Let l = 97/28 - i. Which is the second biggest value? (a) l (b) 0.5 (c) 0.4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the value of -3 + -3 - (0 + 3 - 8)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Is 10 a factor of 2054?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the u'th term of -2502, -2489, -2468, -2439?" }, { "from": "gpt", "value": "4*u**2 + u - 2507" } ]
[ { "from": "human", "value": "What is the nearest to 1/4 in 2/7, -0.04, 3, -0.083?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Is 13591 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let n(t) be the third derivative of 7*t**6/60 + 5*t**4/6 + 23*t**2. What is the second derivative of n(k) wrt k?" }, { "from": "gpt", "value": "84*k" } ]
[ { "from": "human", "value": "Let j = 17615 - 10926. Is j a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 0 = m - 3*m. Let q = m - 11. Are q and -11 unequal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 10, what is -4 - -96?" }, { "from": "gpt", "value": "92" } ]
[ { "from": "human", "value": "Work out -3.06 - 57." }, { "from": "gpt", "value": "-60.06" } ]
[ { "from": "human", "value": "Let z = 8.2 - 31.2. What is the nearest to 0.1 in 0, z, -3?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Put 0.5, -2/211, -9 in decreasing order." }, { "from": "gpt", "value": "0.5, -2/211, -9" } ]
[ { "from": "human", "value": "Is 375361 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 8, what is -2322 - -4?" }, { "from": "gpt", "value": "-2316" } ]
[ { "from": "human", "value": "Suppose -h + 2 = -2*h. Let d be 6 + h/(-1)*1. Let q = d - -5. Is q a multiple of 7?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is -397 greater than -397?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -0.79 less than 3?" }, { "from": "gpt", "value": "3.79" } ]
[ { "from": "human", "value": "Evaluate ((-15)/(-30))/(1/2)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 0 = y + 2*w - 10, 11 = 2*y + 23*w - 22*w for y." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 320 and 200." }, { "from": "gpt", "value": "1600" } ]
[ { "from": "human", "value": "0 (base 2) to base 3" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let i = 5 - 2. Let w be 0 + i - (1 - 2). Let m(t) = -t**2 + 5*t + 5. Let l be m(5). Solve -v - 8 = 2*v - w*u, -l*v = -4*u for v." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 625.0907ml in litres?" }, { "from": "gpt", "value": "0.6250907" } ]
[ { "from": "human", "value": "Subtract 0.15 from 0.03729." }, { "from": "gpt", "value": "-0.11271" } ]
[ { "from": "human", "value": "Suppose -3*z = -z + 6. Let v = z - -6. Let t(o) = 4*o - 3. Let j be t(v). What is the highest common factor of 27 and j?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let g = 2 + 4. Let x = g - 4. Let v(f) = 0*f - 4*f - 3*f**2 + x + 2*f**2 + f**3 + 5*f**2. Determine v(-5)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the units digit of 22514?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Divide -749 by -7." }, { "from": "gpt", "value": "107" } ]
[ { "from": "human", "value": "Let d be (18/10)/((-2)/(-10)). Let h = d + -3. Suppose 5*b + 4*c - 26 = 0, -h*b + 2*c = -b - 2. Solve f = -b*f - 3 for f." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let y = -1873 + 2911. What is the thousands digit of y?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 64.3772um in meters?" }, { "from": "gpt", "value": "0.0000643772" } ]
[ { "from": "human", "value": "Suppose 4*i - 3*f = 123, 3*f = -2 + 11. What is the units digit of i?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let c(g) = -2*g - 5. Let n be c(-4). Let l be ((-2)/(-6))/((-17)/(-306)). Suppose n*p - l = p. Solve 0 = p*q + 4*v + v - 8, 0 = 2*q - 2*v for q." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let p(x) = 21*x**2 - 23*x + 7. Give p(2)." }, { "from": "gpt", "value": "45" } ]
[ { "from": "human", "value": "What is the thousands digit of 6977?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Solve -w + 14 = -121*f + 116*f, -3*f - w = 2 for f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let z = 9 - -3. Let d(p) = -11*p**2 - 12*p + 5. Let s(u) = 27*u**2 + 30*u - 12. Let t(b) = z*d(b) + 5*s(b). Factor t(l)." }, { "from": "gpt", "value": "3*l*(l + 2)" } ]
[ { "from": "human", "value": "What is -2235 divided by -447?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the next term in 430, 428, 416, 388, 338, 260, 148?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let b = -154172257856 + 154171941801.150011. Let m = b + 316055. Let u = m - 0.15. What is u rounded to five decimal places?" }, { "from": "gpt", "value": "1e-05" } ]
[ { "from": "human", "value": "What are the prime factors of 12884?" }, { "from": "gpt", "value": "2, 3221" } ]
[ { "from": "human", "value": "Suppose u = l + 5*u - 54, -3*l + 138 = 4*u. Let h = l - 27. Do h and 15 have the same value?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 5*l + 5*x + 15 = 0, 3*l - 7*x + 2*x + 9 = 0 for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the b'th term of 176, 361, 548, 737, 928, 1121, 1316?" }, { "from": "gpt", "value": "b**2 + 182*b - 7" } ]
[ { "from": "human", "value": "Is -69 bigger than -78?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let u(a) be the second derivative of a**6/180 + a**3/2 + 2*a. Let z(o) be the second derivative of u(o). Let x(j) = 2*j. Determine z(x(p))." }, { "from": "gpt", "value": "8*p**2" } ]
[ { "from": "human", "value": "Evaluate -8 + 7 - (3 + -2)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve 237 = -51*v + 33 for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the v'th term of 78, 79, 78, 75?" }, { "from": "gpt", "value": "-v**2 + 4*v + 75" } ]
[ { "from": "human", "value": "What is the highest common factor of 14 and 1337?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the third derivative of -3*d**4 + 978*d**2 - 6342*d + 6342*d + 495*d**5 - 13*d**5 wrt d?" }, { "from": "gpt", "value": "28920*d**2 - 72*d" } ]
[ { "from": "human", "value": "What is the next term in 118, 219, 320, 421?" }, { "from": "gpt", "value": "522" } ]
[ { "from": "human", "value": "Solve 5*c - 5 = 6*c for c." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Evaluate (4/12)/1*6/(-7)." }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Evaluate 23 + -20 - 12 - -10." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let m = 37 - 19. What is the greatest common divisor of 9 and m?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Simplify sqrt(17) + (sqrt(17) - sqrt(85)/sqrt(5))*-2 + 2." }, { "from": "gpt", "value": "2 + sqrt(17)" } ]
[ { "from": "human", "value": "Let p(j) = 44*j**3 - j**2 + 2*j - 1. Suppose -2*o + 4*h + 30 = 10, -h = 5*o + 5. Let i be -1 - (2 - (4 - o)). Is 22 a factor of p(i)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 0 = -1890*q + 1882*q for q." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let o(n) = -6*n**2 - 31*n - 17. Let w(c) = 3*c**2 + 15*c + 9. Let k(i) = 3*o(i) + 7*w(i). Let k(g) = 0. Calculate g." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Which is the nearest to 3/5? (a) 32 (b) -3/7 (c) -4 (d) 0.2" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let l be (-25)/(-5) + 2 - 5. Solve 0 = l*y + 7 - 1 for y." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 11579 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -l = 3*i + 9, -5*l + 4*i - 8 = -1 for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let r(h) be the third derivative of 17*h**7/105 - 2*h**3 + 10*h**2. What is the derivative of r(g) wrt g?" }, { "from": "gpt", "value": "136*g**3" } ]
[ { "from": "human", "value": "What is the common denominator of 43/6 and -57/400?" }, { "from": "gpt", "value": "1200" } ]
[ { "from": "human", "value": "What is next in 474, 940, 1406, 1872, 2338, 2804?" }, { "from": "gpt", "value": "3270" } ]
[ { "from": "human", "value": "Let j be ((-340)/(-6))/((-28)/(-78)). Let v = -157 + j. Solve 0*g - 6/7*g**4 - 2/7*g**5 - v*g**3 - 2/7*g**2 + 0 = 0." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Let j = -4 + 6. Suppose 0 = -m + k + 4, -j*m + 3*m - 5*k = 12. Suppose 0 = m*h - h. Which is smaller: -3 or h?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate the remainder when 82 is divided by 2." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Evaluate (-240)/(-220)*(-44)/(-8)." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Solve i = 2*l - 10, -5*l + 4*i = -3 - 25 for l." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is -65 less than 9439?" }, { "from": "gpt", "value": "9504" } ]
[ { "from": "human", "value": "What is 165 (base 9) in base 4?" }, { "from": "gpt", "value": "2030" } ]
[ { "from": "human", "value": "Let k = 5/39 - -29/78. What is the closest to 0 in -0.4, 11, k?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Divide -2940 by -4." }, { "from": "gpt", "value": "735" } ]
[ { "from": "human", "value": "Is 187838809 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let x be -2 - -1 - 1650/(-3942). Let j = -10/73 - x. Suppose -2/9*b**2 - j*b**3 + 0 + 0*b - 2/9*b**4 = 0. What is b?" }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Let g be -2 - (1 + -1 - 23). Let d = 216 - 213. What is the highest common divisor of g and d?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 16/11*t + 8/11 + 10/11*t**2 + 2/11*t**3 = 0." }, { "from": "gpt", "value": "-2, -1" } ]
[ { "from": "human", "value": "-1d (base 14) to base 3" }, { "from": "gpt", "value": "-1000" } ]
[ { "from": "human", "value": "Let f(d) be the second derivative of -d**5 - 8*d**4/3 - 20*d. Find the third derivative of f(x) wrt x." }, { "from": "gpt", "value": "-120" } ]
[ { "from": "human", "value": "Evaluate 4*(1/6)/((-1)/1)." }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "Multiply 0.15618224 and -3." }, { "from": "gpt", "value": "-0.46854672" } ]
[ { "from": "human", "value": "Let y be 10/4 + (-1)/2. Let n = 1 - -4. What is the third derivative of -3*o**n + 3*o**2 - o**y + 5*o**5 wrt o?" }, { "from": "gpt", "value": "120*o**2" } ]
[ { "from": "human", "value": "Express (-4*x**2 + 2*x**2 + 0*x**2)*(-x + 0*x + 0*x) - 5*x - 10*x**3 + 1 + 5*x in the form a*x**3 + j + w*x + y*x**2 and give j." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve -5*b + 16 = 3*u + 46, b + 18 = -3*u for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Simplify -1*sqrt(85)/(-4*sqrt(5))." }, { "from": "gpt", "value": "sqrt(17)/4" } ]
[ { "from": "human", "value": "(-1)/(-2)*(-300)/(-250)" }, { "from": "gpt", "value": "3/5" } ]
[ { "from": "human", "value": "What are the prime factors of 5193753110?" }, { "from": "gpt", "value": "2, 5, 7, 13, 157, 36353" } ]
[ { "from": "human", "value": "How many minutes are there between 10:49 PM and 12:17 AM?" }, { "from": "gpt", "value": "88" } ]