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math

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[ { "from": "human", "value": "Suppose 3*a - 4*z - 50 = 0, 4*a - 67 = 2*z + 3*z. Is a a multiple of 6?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor -j**4 + j**3 + 4*j**2 - 4*j." }, { "from": "gpt", "value": "-j*(j - 2)*(j - 1)*(j + 2)" } ]
[ { "from": "human", "value": "What is the smallest value in 5, -0.3, -9, 3?" }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "What is the highest common divisor of 49 and 1421?" }, { "from": "gpt", "value": "49" } ]
[ { "from": "human", "value": "Let g(k) = -k**2 + 7*k + 2. Let z be g(6). Solve -3*r = -4 - z for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 3, what is -120000111 - 12?" }, { "from": "gpt", "value": "-120000200" } ]
[ { "from": "human", "value": "Let q(y) = 9 - y. Let x be q(7). Find the third derivative of -7 + x*g**2 + 7 + 2*g**3 wrt g." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Is 2057047 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 0 = 4*i - 2*i. Let q(j) be the second derivative of 0 - 1/12*j**4 - 2*j + i*j**2 - 1/3*j**3. Find the second derivative of q(o) wrt o." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Which is bigger: -95 or 77?" }, { "from": "gpt", "value": "77" } ]
[ { "from": "human", "value": "-1 divided by 100" }, { "from": "gpt", "value": "-1/100" } ]
[ { "from": "human", "value": "What is the r'th term of -1447, -2892, -4337?" }, { "from": "gpt", "value": "-1445*r - 2" } ]
[ { "from": "human", "value": "Let z = 3 - 3. Let x(f) = f**2 + 8*f + 10. Let h be x(-7). Let n be ((-9)/h)/(-9)*9. Solve 4*k - n*k + 4 = z for k." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let o be (84 - 2/1) + 4. Suppose -3*a = -o + 11. What is the highest common factor of 10 and a?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is 58.09 + -0.85?" }, { "from": "gpt", "value": "57.24" } ]
[ { "from": "human", "value": "Suppose -4*i + 1771 + 4073 = 0. Suppose -3*j = 2*j - 2*p - i, 5*j - 3*p - 1459 = 0. Is j composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 5*c + 4*k = 52, -5*k - 13 = -c + 9. Solve -m = 2*m + c for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the s'th term of 21, 18, 11, 0?" }, { "from": "gpt", "value": "-2*s**2 + 3*s + 20" } ]
[ { "from": "human", "value": "What is the third derivative of 1544*p**5 + 15*p**2 - 67?" }, { "from": "gpt", "value": "92640*p**2" } ]
[ { "from": "human", "value": "List the prime factors of 51043." }, { "from": "gpt", "value": "51043" } ]
[ { "from": "human", "value": "What is the j'th term of 4698, 4696, 4694, 4692?" }, { "from": "gpt", "value": "4700 - 2*j" } ]
[ { "from": "human", "value": "Solve 5*w - 22 = 3*o, 0 = 3*w - 1 - 14 for o." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -2*y + 185 = 2*h - 59, -5*y + 4*h + 655 = 0. Is y composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let a(g) = -g**2 + 42*g + 16. Determine a(42)." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 3/6*(-1 - -3) and 1." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is smaller: 10/159 or 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the third root of 12006 to the nearest integer?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "Let a(j) = 2 - j**3. Let q be a(2). Let x be 0/(6/(q/(-3))). Suppose -2*m + 0*n + 5*n = -89, 2*m + 5*n - 59 = x. Is m a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the second derivative of 8*k**4 - 1013*k**3 + 11*k + 1013*k**3 wrt k?" }, { "from": "gpt", "value": "96*k**2" } ]
[ { "from": "human", "value": "What is the u'th term of -40, -30, -8, 32, 96, 190, 320, 492?" }, { "from": "gpt", "value": "u**3 + 3*u - 44" } ]
[ { "from": "human", "value": "Work out 0.1 - 0.383." }, { "from": "gpt", "value": "-0.283" } ]
[ { "from": "human", "value": "What is the closest to 0 in 4.683, -0.1, -2/5, -2/11?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Factor 3*s**5 - 21*s**4 + 45*s**3 - 27*s**2." }, { "from": "gpt", "value": "3*s**2*(s - 3)**2*(s - 1)" } ]
[ { "from": "human", "value": "(((-143)/(-26))/(-11))/(2/4)" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let o be (2 + 0)/(12/(-6)). Let m(r) = 3*r**3 + 2*r + 1. Let n be m(o). Let u be n*(1/2)/(-1). Solve -u*k + 7 = 5*v, -v + 2*k = k - 7 for v." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is 4844 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "70" } ]
[ { "from": "human", "value": "Let w = 86 + -91. What is the third biggest value in w, 16, -0.2, 0?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 361 and 2356." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Suppose 0*h = -h. Let p = 1 - h. What is the units digit of p?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 4*v + n = -21, 2*v + n + 2*n = -13 for v." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let w(c) = c**3 - 8*c**2 - 13*c + 39. Let h be w(9). Solve k = -h, -3*k + 4 + 2 = -5*f for f." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Sort 315, -0.3, -1." }, { "from": "gpt", "value": "-1, -0.3, 315" } ]
[ { "from": "human", "value": "Express 2*x**2 + 2 + 4*x**4 - 3*x**2 + 0*x**4 - x as u + a*x**2 + w*x**3 + y*x**4 + k*x and give u." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the a'th term of -48, -67, -98, -141, -196, -263, -342?" }, { "from": "gpt", "value": "-6*a**2 - a - 41" } ]
[ { "from": "human", "value": "Calculate 6 divided by -3." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 11, what is 42 - 1?" }, { "from": "gpt", "value": "41" } ]
[ { "from": "human", "value": "Let u be (-14)/4*(-3 + 1). Let b(v) = 2*v + 4. Let d be b(u). Calculate the highest common divisor of 12 and d." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose -7*n + 11*n = 848. What is the remainder when n is divided by 43?" }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "What is the greatest common factor of 3 and 2?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let t = -0.08 - -0.05. Let p = t + -0.07. Which is the closest to 1/4? (a) -1/4 (b) 4/3 (c) p" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Rearrange -3*f**3 - 2*f + 19*f**4 - 21*f**4 + 8*f**2 - 8*f**2 to the form v*f**3 + a*f**2 + k*f + p + n*f**4 and give k." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 12, what is -5 - -b?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "List the prime factors of 14 + 70 - (-5 - -2)." }, { "from": "gpt", "value": "3, 29" } ]
[ { "from": "human", "value": "Let l = 14 - 18. Let c(i) = -3*i - 5. Let b be c(l). Solve 3*k + 8 = -b for k." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Divide -2124 by 9." }, { "from": "gpt", "value": "-236" } ]
[ { "from": "human", "value": "Let o(n) = -n**3 + n**2 + 3*n + 3. Let f = -10 - -5. Calculate the remainder when (0 + (-48)/15)*f is divided by o(-2)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Is 306 != -9?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let u = 7 + -1. Suppose u = -3*t + 6*t. Suppose -4*o + 5*v - 9 = 0, -5*v - 7 + 24 = -t*o. Is 3 a factor of o?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the nearest to 0 in 5/2, 7, -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "(-66)/(-18) - -1*6/(-9)" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let b = 299/36 + -74/9. Let c = 1.1 - -2.9. Sort b, -0.3, c." }, { "from": "gpt", "value": "-0.3, b, c" } ]
[ { "from": "human", "value": "Let a(p) = p**2 + 2*p. Let w be a(-5). Let n = 7 - 3. Suppose -v = -n*v + w. Solve -v*j - 8 = 2 for j." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let r = 14596.50712 + -14597. Let n = -0.470913 - r. Let m = -0.022 + n. Round m to 5 dps." }, { "from": "gpt", "value": "-3e-05" } ]
[ { "from": "human", "value": "Suppose 0 = 5*g + d - 18, -2*g - 3*d = 2*g - 10. Solve 0 = g*i - 20 for i." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose -u = -2*u. Suppose 2*g = -u*g. Suppose -2*w - 4*k = -40 + 14, g = -3*w + 5*k + 6. Does 3 divide w?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 336 and 8." }, { "from": "gpt", "value": "336" } ]
[ { "from": "human", "value": "Calculate 2/3*(-9)/(-3)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let c = -7 + 12. Solve 3*v + 10 = -c for v." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the difference between -1.75 and -12737?" }, { "from": "gpt", "value": "12735.25" } ]
[ { "from": "human", "value": "4 divided by -2096" }, { "from": "gpt", "value": "-1/524" } ]
[ { "from": "human", "value": "Rearrange -3*u**2 + 4*u**2 + 0*u**2 - 3*u**3 to m*u + l*u**2 + v*u**3 + j and give v." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Sort -99, 2, 4, 1 in descending order." }, { "from": "gpt", "value": "4, 2, 1, -99" } ]
[ { "from": "human", "value": "Let f be (3 - 2)/((-1)/2). Let a be (-80)/f + 2 + 0. Suppose -a = -2*x + 176. Is x prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the remainder when 10765 is divided by 16?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -3 (b) 1 (c) 4 (d) 1/6 (e) 50" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Simplify (1*sqrt(1088)*6 + (sqrt(1088) - (-2*sqrt(1088) + sqrt(1088)))*2)**2." }, { "from": "gpt", "value": "108800" } ]
[ { "from": "human", "value": "What is the seventh root of 7809 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Find the third derivative of 41*j**4 - j**3 - 7588*j**2 wrt j." }, { "from": "gpt", "value": "984*j - 6" } ]
[ { "from": "human", "value": "Let u = 71 - 637/9. Let s = 0.166 + -4.166. Put s, -3, u in increasing order." }, { "from": "gpt", "value": "s, -3, u" } ]
[ { "from": "human", "value": "What is the c'th term of -107, -125, -159, -215, -299, -417, -575?" }, { "from": "gpt", "value": "-c**3 - 2*c**2 - 5*c - 99" } ]
[ { "from": "human", "value": "What is 97 minutes after 11:20 AM?" }, { "from": "gpt", "value": "12:57 PM" } ]
[ { "from": "human", "value": "Is 15399 a multiple of 78?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 0*x - x + 20 = 0. Let b be (-2)/(-4) - 10/x. Solve b*i = -i for i." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose 3*w - 2*w - 6 = -3*k, -4 = -2*k - 5*w. Suppose -5*d + 15 = 0, -2*g + 3 = -k*d + 5. Solve -1 = g*h + 3 for h." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the value of (-10)/5*(-2)/(-42)?" }, { "from": "gpt", "value": "-2/21" } ]
[ { "from": "human", "value": "Which is the nearest to 1/4? (a) 5 (b) -1/125 (c) -1 (d) 4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -4*m = -s - 0*s - 2, 1 = m. Let p be (-1 - 1/1) + -5. Let z = p - -10. Solve 4*o = -z*d + 3*o + 2, -d + o = -s for d." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 12*o + 48 = -24 for o." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let f = 212 + -206. Suppose f*n = -2*n + 2360. Is n a multiple of 22?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 0 = -4*x + 5*o - 14, -6*x + 7 = -3*x + 5*o. Let n be 4 + (3 - (3 + x)). Solve 0*h = -h + n for h." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let t(g) = -1 - g + 3 + 0. Let p be t(9). Let i(y) = y**2 + 7*y + 6. Is i(p) composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the value of 12/(-32)*2*(-12)/21?" }, { "from": "gpt", "value": "3/7" } ]
[ { "from": "human", "value": "Find u such that 25/4 - u**2/4 = 0." }, { "from": "gpt", "value": "-5, 5" } ]
[ { "from": "human", "value": "Let s(h) = h + 12. Let y be s(-6). Suppose 3*w = -2*d - y, -d - 9 = 2*w + w. Suppose p = 4*m + d, 1 = -3*p - 2. Which is greater: m or 3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 0 = 6*n + 13 - 19 for n." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let n(b) = 7*b + 3. Let k be n(-3). Let j = -10 - k. Do 8 and j have different values?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Does 11 divide 6281?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Find the second derivative of -2071*w**5 + 786*w + 1." }, { "from": "gpt", "value": "-41420*w**3" } ]
[ { "from": "human", "value": "Let t(k) = 5*k - 2*k + 0*k - 4*k - 7. Let q be t(-4). Let s(z) = 7*z**2 - 6*z - 3. Let p(m) = -8*m**2 + 7*m + 4. Let f(r) = q*s(r) - 2*p(r). Factor f(w)." }, { "from": "gpt", "value": "-(w - 1)*(5*w + 1)" } ]
[ { "from": "human", "value": "Calculate -1 divided by -5." }, { "from": "gpt", "value": "1/5" } ]