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math

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[ { "from": "human", "value": "Which is the smallest value? (a) -3 (b) 8 (c) -1 (d) -5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let y(o) = 239*o**2 - 47*o + 5. Let k(i) = 238*i**2 - 48*i + 6. Let j(p) = 3*k(p) - 4*y(p). Factor j(d)." }, { "from": "gpt", "value": "-2*(11*d - 1)**2" } ]
[ { "from": "human", "value": "What is one tenth of a litre in millilitres?" }, { "from": "gpt", "value": "100" } ]
[ { "from": "human", "value": "Calculate the remainder when 101313 is divided by 36." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let m = 4 + -6. Let y be 4/(-5)*(-5)/14. Let u = 67 - 67.4. Sort y, m, u." }, { "from": "gpt", "value": "m, u, y" } ]
[ { "from": "human", "value": "Simplify (sqrt(17) - (sqrt(1700) + 1)**2)*-3." }, { "from": "gpt", "value": "57*sqrt(17) + 5103" } ]
[ { "from": "human", "value": "Let z(k) = -k**3 - 5*k**2 - k + 12. Let u be z(-4). Let y(l) be the third derivative of 1/180*l**5 - l**2 + 1/18*l**3 + 0 + u*l - 1/36*l**4. Solve y(w) = 0." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "213 divided by -71" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 3, what is 1120 - 12011?" }, { "from": "gpt", "value": "-10121" } ]
[ { "from": "human", "value": "Let g = 1 + 2. Let d(c) = -c**3 + 3*c**2 + 3*c - 3. Let k be d(g). Suppose -4*n + 22 = 3*m, -2*m - 5*n + 11 = -k. What are the prime factors of m?" }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Suppose 3*t + 4*h = 10, 0 = 2*t + 2*h - 7 + 1. Let u be (8 + 2)*(-4)/(-10). Factor -6*z**4 + z**2 + 0*z**3 + 2*z**t + 3*z**u + 3*z**3 - 3*z**5." }, { "from": "gpt", "value": "-3*z**2*(z - 1)*(z + 1)**2" } ]
[ { "from": "human", "value": "What is 408/51*2/10?" }, { "from": "gpt", "value": "8/5" } ]
[ { "from": "human", "value": "Solve -25 = 4*s - 5*i, 16*i + 5 = -5*s + 17*i for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Evaluate (3/9)/((-3)/(1260/14))." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Suppose 2*j - 49 - 27 = 0. Suppose v + j = 3*v. What is the units digit of v?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let f(u) = -u**3 - 15*u**2 + 14*u - 36. Let c be f(-16). Sort -3, 0, c in decreasing order." }, { "from": "gpt", "value": "0, -3, c" } ]
[ { "from": "human", "value": "What comes next: -34, -33, -30, -25, -18?" }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Let x(k) be the first derivative of -8*k**6/3 - 4*k**5/5 + 3*k**4 - k**3/3 - k**2/2 - 4. Suppose x(j) = 0. Calculate j." }, { "from": "gpt", "value": "-1, -1/4, 0, 1/2" } ]
[ { "from": "human", "value": "Evaluate (4 - (0 + 4)) + 2." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the third root of 92 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Factor -9*m**3 + 9*m - m**2 + 4*m**2 + 1615*m**4 - 1618*m**4." }, { "from": "gpt", "value": "-3*m*(m - 1)*(m + 1)*(m + 3)" } ]
[ { "from": "human", "value": "Factor -o**4 - 26*o**3 - 113*o**2 - 172*o - 84." }, { "from": "gpt", "value": "-(o + 1)*(o + 2)**2*(o + 21)" } ]
[ { "from": "human", "value": "Let z = 283 + -102. What is the tens digit of z?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Does 54 divide 540?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 67868 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let o = 1613 + 6451. Does 48 divide o?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let d(a) be the first derivative of 8*a**5/5 + a**3 - a**2 + 28*a - 38. What is the second derivative of d(y) wrt y?" }, { "from": "gpt", "value": "96*y**2 + 6" } ]
[ { "from": "human", "value": "Let o be 2/6 + 616/168. Factor -2/3*s**2 + o*s - 6." }, { "from": "gpt", "value": "-2*(s - 3)**2/3" } ]
[ { "from": "human", "value": "-3*1*15/45" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "How many minutes are there between 1:46 PM and 2:38 PM?" }, { "from": "gpt", "value": "52" } ]
[ { "from": "human", "value": "Sort 3, 10, 18, 4." }, { "from": "gpt", "value": "3, 4, 10, 18" } ]
[ { "from": "human", "value": "What is 616 minutes after 8:54 PM?" }, { "from": "gpt", "value": "7:10 AM" } ]
[ { "from": "human", "value": "Calculate the remainder when 669 is divided by 84." }, { "from": "gpt", "value": "81" } ]
[ { "from": "human", "value": "What is 305 minutes before 6:18 AM?" }, { "from": "gpt", "value": "1:13 AM" } ]
[ { "from": "human", "value": "Solve 35 = 5*y + 2*l, l + 40 = 5*y + 4*l for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve 0 = 36*u - 46*u - 40 for u." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the product of -0.2 and -6908697?" }, { "from": "gpt", "value": "1381739.4" } ]
[ { "from": "human", "value": "In base 2, what is -100110101 + -1110?" }, { "from": "gpt", "value": "-101000011" } ]
[ { "from": "human", "value": "Let a = -4 - -13. Suppose 0 = -2*m + 3*m - a. Solve -m = -3*r + 3 for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Is 1436858513 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let l = -15 + 17. What are the prime factors of 4*(-15)/(-24)*l?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Multiply -6 and 0.477." }, { "from": "gpt", "value": "-2.862" } ]
[ { "from": "human", "value": "What is the next term in 11, -15, -59, -121, -201, -299?" }, { "from": "gpt", "value": "-415" } ]
[ { "from": "human", "value": "Solve 19*d - 24 = 25*d for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let m = 2 + -1.9. Let o = m + 8.9. Which is greater: o or 0?" }, { "from": "gpt", "value": "o" } ]
[ { "from": "human", "value": "What is the remainder when 965 is divided by 304?" }, { "from": "gpt", "value": "53" } ]
[ { "from": "human", "value": "Find the first derivative of -166*u - 444 wrt u." }, { "from": "gpt", "value": "-166" } ]
[ { "from": "human", "value": "Let u = -59 - -70. Calculate the least common multiple of u and 7." }, { "from": "gpt", "value": "77" } ]
[ { "from": "human", "value": "Let j = 7 - 1. Solve -4*z = 5*l - 23, -j*l + z = -l - 13 for l." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the third derivative of 11*i**2 + 6*i**3 - 16 + 2*i**3 + 16 wrt i?" }, { "from": "gpt", "value": "48" } ]
[ { "from": "human", "value": "Let m(p) = -46*p. Let k(v) = -v**2. Give m(k(w))." }, { "from": "gpt", "value": "46*w**2" } ]
[ { "from": "human", "value": "Simplify (((sqrt(153)*-2 + sqrt(153) + sqrt(153))/sqrt(9))**2 - sqrt(17))*-5." }, { "from": "gpt", "value": "5*sqrt(17)" } ]
[ { "from": "human", "value": "Let u be (2 + -2)/(1/(-1)). Suppose 4*h - 29 + 13 = u. Let w = 9 - h. Solve -w*p - 24 = -3*n + 10, 3*p + 9 = -2*n for n." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let i = -1647343101.941067 + 1647335410.2. Let o = i + 7691.8. Let p = -0.059 + o. Round p to five dps." }, { "from": "gpt", "value": "-7e-05" } ]
[ { "from": "human", "value": "Let d(k) = k**2 - 6*k - 8. Let z be d(7). What is the closest to 0.1 in 1/5, z, -5?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "((-11)/(-55))/((-1)/(-2))" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "In base 16, what is -da - 13?" }, { "from": "gpt", "value": "-ed" } ]
[ { "from": "human", "value": "Calculate -0.5555 + 146." }, { "from": "gpt", "value": "145.4445" } ]
[ { "from": "human", "value": "What is the next term in -11, 8, 55, 142, 281, 484, 763, 1130?" }, { "from": "gpt", "value": "1597" } ]
[ { "from": "human", "value": "How many millilitres are there in thirteen eighths of a litre?" }, { "from": "gpt", "value": "1625" } ]
[ { "from": "human", "value": "What is -6 + 15/2*(-5)/(-6)?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "Let v(n) = -n**2 - 7*n + 6. Let u be v(-7). Suppose -g - 4*w = -32, -u*g + 3*w + 204 = -2*g. Does 20 divide g?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the greatest common factor of 555 and 19795?" }, { "from": "gpt", "value": "185" } ]
[ { "from": "human", "value": "Factor 15*c**3 - 190*c**2 + 525*c - 270." }, { "from": "gpt", "value": "5*(c - 9)*(c - 3)*(3*c - 2)" } ]
[ { "from": "human", "value": "Let j(g) = -g. Let l(s) = 5*s - s + 0*s - 3. Let z(f) = -5*j(f) - l(f). What is the first derivative of z(a) wrt a?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 0 = l + 5, 0*l - 5*l = -5*i + 25. Let s(h) = h**3 + 14*h**2 + 11*h - 24. Let o be s(-13). Solve i = -a + o*a - 4 for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the biggest value in 4, 0.2, -4, -11/6?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "(-1)/((-1)/(-10)*240/(-32))" }, { "from": "gpt", "value": "4/3" } ]
[ { "from": "human", "value": "What is l in 12*l**3 - 693*l**2 - 882*l - 177 = 0?" }, { "from": "gpt", "value": "-1, -1/4, 59" } ]
[ { "from": "human", "value": "Let -2*k**2 + 344*k - 342 = 0. What is k?" }, { "from": "gpt", "value": "1, 171" } ]
[ { "from": "human", "value": "What is eight thirds of a week in hours?" }, { "from": "gpt", "value": "448" } ]
[ { "from": "human", "value": "Put 0, 2/5, 51 in descending order." }, { "from": "gpt", "value": "51, 2/5, 0" } ]
[ { "from": "human", "value": "Let x(u) be the first derivative of -9*u**8/56 + 7*u**4/12 - 8*u + 9. Let j(d) be the first derivative of x(d). What is the third derivative of j(a) wrt a?" }, { "from": "gpt", "value": "-1080*a**3" } ]
[ { "from": "human", "value": "Suppose 2*v = -v. Let a be v/2 + 33 - 1. Suppose -q + 82 + 11 = 5*f, -a = -2*f - 3*q. Calculate the greatest common factor of 190 and f." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "What is the nearest to -2/3 in 1, 148, 1/4, 5?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "Let s = 7 + -4. Let k(p) be the first derivative of 3*p**3 + s*p + 2 - 3/4*p**4 - 9/2*p**2. Factor k(t)." }, { "from": "gpt", "value": "-3*(t - 1)**3" } ]
[ { "from": "human", "value": "-1 divided by -109" }, { "from": "gpt", "value": "1/109" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 297 and 11?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Is 2496251 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 22848 a multiple of 102?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 14, what is 372 + -4?" }, { "from": "gpt", "value": "36c" } ]
[ { "from": "human", "value": "-0.4331 times 512" }, { "from": "gpt", "value": "-221.7472" } ]
[ { "from": "human", "value": "Find the second derivative of -2131*s**3 - 455*s." }, { "from": "gpt", "value": "-12786*s" } ]
[ { "from": "human", "value": "In base 2, what is -110010100 + -1000?" }, { "from": "gpt", "value": "-110011100" } ]
[ { "from": "human", "value": "Let l = 7 + -2. Suppose 0*s = -2*s - 2*f + 8, -2*s = -5*f + 6. Suppose 2*v - 10 = -4*h, -s*h - 4 = -4*h. Solve -r = 5*a - 5, 16 - v = l*a + 3*r for a." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let k(s) = s**3 + 25*s**2 - 58*s + 57. Let n be k(-27). Calculate the greatest common factor of n and 105." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Suppose -2*s + 96 = 3*b, 4*b - 1 = 3*s + 127. Is 11 a factor of b?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 17 = 9*z - 10. Suppose 25 = x - 4*u - u, -5*x = 2*u + 10. Suppose c + 3*c - o = x, c = -z*o. Solve -4*k + 20 = -c*k for k." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the o'th term of 866, 1738, 2610, 3482?" }, { "from": "gpt", "value": "872*o - 6" } ]
[ { "from": "human", "value": "What is the s'th term of -37, -53, -79, -115, -161, -217?" }, { "from": "gpt", "value": "-5*s**2 - s - 31" } ]
[ { "from": "human", "value": "What is the third derivative of 444*i**3*o + 3*i**2 - 1244*i*o wrt i?" }, { "from": "gpt", "value": "2664*o" } ]
[ { "from": "human", "value": "Let o be (7 - 3)*(-2)/4. Let t = 0 + o. Let y be -2*t/((-2)/(-3)). Solve 3*f = -y - 3 for f." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let p be 4/(-10) + 60/25. Let s = -81 + 101. Solve s = -p*z + 6*z for z." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let i = 557/5 - 111. What is the third smallest value in -2, i, 2?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Which is smaller: -1 or -17.67?" }, { "from": "gpt", "value": "-17.67" } ]
[ { "from": "human", "value": "Let s = 1/18074 + 659693/144592. Let j = 11823/2710 + -17/271. What is the common denominator of s and j?" }, { "from": "gpt", "value": "80" } ]
[ { "from": "human", "value": "Calculate 40 divided by -20." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What are the prime factors of 101836551?" }, { "from": "gpt", "value": "3, 33945517" } ]
[ { "from": "human", "value": "What is the sixth root of 2251 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve 562*r - 537*r = -200 for r." }, { "from": "gpt", "value": "-8" } ]