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math

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[ { "from": "human", "value": "Let u(h) = h**2 + 29. Let w be u(0). Let m be w/9 + 4/(-18). Suppose 3*y = 4*y - 4, m*a + y - 46 = 0. What is the smallest common multiple of a and 8?" }, { "from": "gpt", "value": "56" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 301 and 215?" }, { "from": "gpt", "value": "43" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 385 and 88." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Solve -2*t - h - h = 0, -t + 16 = -3*h for t." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify -6*(sqrt(63)/sqrt(9) + sqrt(7))*-4." }, { "from": "gpt", "value": "48*sqrt(7)" } ]
[ { "from": "human", "value": "Solve -4*z = 5*m - 23, 7*z = 12*z + m + 8 for z." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve 4*y + o + 18 = 0, 23*y = 21*y + 4*o - 18 for y." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the fifth root of 786 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let o = -4.1 - -3.9. What is the closest to o in -2, -0.07, 3?" }, { "from": "gpt", "value": "-0.07" } ]
[ { "from": "human", "value": "Let j = -0.78 + 0.58. Let d = -2.5 - -3. Which is the nearest to 0? (a) j (b) d (c) 2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is -3 + 4 + 1 - (0 + 1)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 7/8 of a millennium in years?" }, { "from": "gpt", "value": "875" } ]
[ { "from": "human", "value": "Let v = 2 - -1. Find g such that -3*g**5 + 3*g**v + 4*g**4 + 2*g**4 - 7*g**2 + 0*g**3 + g**2 = 0." }, { "from": "gpt", "value": "-1, 0, 1, 2" } ]
[ { "from": "human", "value": "Determine d so that 4*d**3 - 36*d**2 - 48*d + 80 = 0." }, { "from": "gpt", "value": "-2, 1, 10" } ]
[ { "from": "human", "value": "Find the second derivative of -q**3 + 5*q**3 - 8*q**3 + q wrt q." }, { "from": "gpt", "value": "-24*q" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 13 and 1." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 0 = -7*x + 5 - 33 for x." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Is -18 at most as big as -335/19?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the n'th term of 20, 96, 230, 428, 696, 1040?" }, { "from": "gpt", "value": "n**3 + 23*n**2 - 4" } ]
[ { "from": "human", "value": "Is 94739 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let c(y) = y**3 - 8*y**2 + 2. Let q be c(8). Let s = 6 - 4. Suppose 0 = 5*g - q*m - 46, 2*g + s*g - 2*m - 36 = 0. Solve 5*b = -0*b + g for b." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the h'th term of -2935, -2937, -2939, -2941, -2943, -2945?" }, { "from": "gpt", "value": "-2*h - 2933" } ]
[ { "from": "human", "value": "1 + -0.0883" }, { "from": "gpt", "value": "0.9117" } ]
[ { "from": "human", "value": "Let r = 61 - 92. Let m = r + 115. Suppose -m = -q - q. Does 14 divide q?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve 0 + 30 = -6*s for s." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve -5*d = -3*a - 9, -39*a - 2*d = -35*a + 12 for a." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the derivative of 550*p + 220?" }, { "from": "gpt", "value": "550" } ]
[ { "from": "human", "value": "Find the second derivative of -15*y - 90*y**4 + 95*y**4 - 3*y wrt y." }, { "from": "gpt", "value": "60*y**2" } ]
[ { "from": "human", "value": "Solve -4*n + 31 = -15*w + 12*w, -2*w - n = 6 for w." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Factor -3*m**4 - 1572*m**3 - 205932*m**2." }, { "from": "gpt", "value": "-3*m**2*(m + 262)**2" } ]
[ { "from": "human", "value": "Evaluate (-6)/(-4)*16/(-6)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let a(x) be the first derivative of -x**7/210 - x**5/120 - 2*x**3/3 + 2. Let w(l) be the third derivative of a(l). Find the second derivative of w(o) wrt o." }, { "from": "gpt", "value": "-24*o" } ]
[ { "from": "human", "value": "In base 4, what is 13300 - 11?" }, { "from": "gpt", "value": "13223" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) -5/4 (b) 44 (c) -2/5 (d) 1/8" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose -4*o + 19 + 33 = 0. Suppose o = 3*p + 4. Find the second derivative of 4*t**3 + 7*t - 4*t**p - t - 9*t**3 wrt t." }, { "from": "gpt", "value": "-54*t" } ]
[ { "from": "human", "value": "Evaluate (-9)/(-42)*((-114)/18 - -5)." }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "Let h = 0.02 - 0.12. Suppose -6 - 42 = 4*x. Let g be (1/(-8))/((-6)/x). Which is the closest to -0.2? (a) 2 (b) g (c) h" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let n = 2.08 - -0.92. What is the nearest to -2 in 4/7, n, -4?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose 0 = 4*r + 4, -4*n + 5*r = -2 - 27. Let b = -4 + n. Suppose 0 = -3*l - 5*j + 4, 0 = -l + b*j - 6*j - 8. Is l a multiple of 3?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let t = 10 + -10. Solve -3*o - 11 - 4 = t for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify (sqrt(117)*-1*2)/sqrt(9)." }, { "from": "gpt", "value": "-2*sqrt(13)" } ]
[ { "from": "human", "value": "What is 22.843 rounded to the nearest integer?" }, { "from": "gpt", "value": "23.0" } ]
[ { "from": "human", "value": "Let n = 149/35 - 27/7. Let k = 2.1 - 2. Let o = k - 1.1. Which is the closest to -1? (a) -3 (b) o (c) n" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is -c6 (base 16) in base 3?" }, { "from": "gpt", "value": "-21100" } ]
[ { "from": "human", "value": "What is 66200 rounded to the nearest one thousand?" }, { "from": "gpt", "value": "66000.0" } ]
[ { "from": "human", "value": "Suppose -i - 2 = -7. Let a(w) = w**2 - 3*w - 2. Let j be a(3). Let k(s) = -s - 2. Let b be k(j). Solve b = i*o - 11 - 9 for o." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "How many minutes are there between 6:27 AM and 2:21 PM?" }, { "from": "gpt", "value": "474" } ]
[ { "from": "human", "value": "Let m(j) = 3*j - 5. Let z be m(3). Let f(i) = -3*i**2 + z*i**2 - 5*i**2 + i**2. Let c(k) = -6*k. Give f(c(p))." }, { "from": "gpt", "value": "-108*p**2" } ]
[ { "from": "human", "value": "In base 2, what is 100110 + -100101?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let a(r) = r**2 + 7*r + 8. Let p be a(-6). Suppose j - 10 = -4*j + 2*q, j - p*q - 2 = 0. What is the second derivative of 10*b**2 - j + 2 - b - 7*b**2 wrt b?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let h(w) = w**2 + w + 4. Let y be h(0). Let i = 45 - 0. Solve 5*o - 5*k + i = 0, -3*o - 3*k + 1 - y = 0 for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What comes next: -102, -191, -266, -321, -350, -347, -306, -221?" }, { "from": "gpt", "value": "-86" } ]
[ { "from": "human", "value": "Let m = -56.922 - 0.078. Let l = 56.909 + m. Round l to 2 dps." }, { "from": "gpt", "value": "-0.09" } ]
[ { "from": "human", "value": "-21.8 * 17" }, { "from": "gpt", "value": "-370.6" } ]
[ { "from": "human", "value": "What is ((-208)/120)/13*10/1?" }, { "from": "gpt", "value": "-4/3" } ]
[ { "from": "human", "value": "Suppose 0*k - 2*k - 4 = 0. Suppose 0 = 4*c - 2*c. Which is greater: c or k?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the third biggest value in 157/2, 1/3, -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the third root of 676 to the nearest integer?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 1 (b) -5/4 (c) -23" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the second derivative of c*l**4 + 9*c + 2*l**2*v - 10*l - v - 6 wrt l?" }, { "from": "gpt", "value": "12*c*l**2 + 4*v" } ]
[ { "from": "human", "value": "List the prime factors of 17868." }, { "from": "gpt", "value": "2, 3, 1489" } ]
[ { "from": "human", "value": "Suppose k + 6 = 20. Solve -k = 4*j - 2*t, 4*t - 1 = -2*j + j for j." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Express -6*y**4 + 7*y**4 - 19*y**3 + 11*y**3 - 5*y - 2*y**2 + 4*y as v + j*y + f*y**4 + p*y**3 + q*y**2 and give q." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -7 = -2*x + g, -2*x + 4*g - 2 = -12 for x." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is -166 times -10?" }, { "from": "gpt", "value": "1660" } ]
[ { "from": "human", "value": "Let v = -62 + 58. Sort v, -1, 1, 19." }, { "from": "gpt", "value": "v, -1, 1, 19" } ]
[ { "from": "human", "value": "In base 12, what is -2b95 - 5?" }, { "from": "gpt", "value": "-2b9a" } ]
[ { "from": "human", "value": "Is 92 at least 84?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What are the prime factors of 8773?" }, { "from": "gpt", "value": "31, 283" } ]
[ { "from": "human", "value": "Multiply -701 and -3." }, { "from": "gpt", "value": "2103" } ]
[ { "from": "human", "value": "Suppose -5*b - 3*u = -b + 10, 2*b = u - 10. Let m = 7 + b. Solve -m*y - y = -8 for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose 4*q = 2*q + 308. Let l(r) = 2*r - 4. Let m be l(4). Suppose -m*f + 1 = -55. What is the greatest common divisor of q and f?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Let q(o) be the second derivative of o**5/150 - o**4/20 + 2*o**3/15 + 3*o**2/2 + 3*o. Let p(h) be the first derivative of q(h). Determine i so that p(i) = 0." }, { "from": "gpt", "value": "1, 2" } ]
[ { "from": "human", "value": "Differentiate 682 - 566*d**2 wrt d." }, { "from": "gpt", "value": "-1132*d" } ]
[ { "from": "human", "value": "Solve -5*l - 41 = -4*o, 2*l + 3 + 23 = 4*o for l." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the value of -3 + 5 + 5 + -3 + -1?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Sort -2, 2, -3 in increasing order." }, { "from": "gpt", "value": "-3, -2, 2" } ]
[ { "from": "human", "value": "Solve 302*f - 299*f = 18 for f." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Sort -3, -15, 1, -4 in descending order." }, { "from": "gpt", "value": "1, -3, -4, -15" } ]
[ { "from": "human", "value": "-215 divided by -4" }, { "from": "gpt", "value": "215/4" } ]
[ { "from": "human", "value": "Let s(j) be the first derivative of -7*j**5/5 - 19*j - 10. Differentiate s(p) wrt p." }, { "from": "gpt", "value": "-28*p**3" } ]
[ { "from": "human", "value": "Let h = -426/5 - -85. Let n = 0 - -0.4. Let d = 0.4 + 0.1. Sort h, d, n in increasing order." }, { "from": "gpt", "value": "h, n, d" } ]
[ { "from": "human", "value": "What is next in 167, 329, 491, 653, 815, 977?" }, { "from": "gpt", "value": "1139" } ]
[ { "from": "human", "value": "What is the h'th term of 20, 28, 36, 44?" }, { "from": "gpt", "value": "8*h + 12" } ]
[ { "from": "human", "value": "Let p(g) be the second derivative of g**5/100 + g**4/60 - g**3/15 + 4*g. Factor p(u)." }, { "from": "gpt", "value": "u*(u - 1)*(u + 2)/5" } ]
[ { "from": "human", "value": "Calculate the remainder when 1163 is divided by 126." }, { "from": "gpt", "value": "29" } ]
[ { "from": "human", "value": "What is the third derivative of -8*r**5 - 6*r**2 + 3*r**5 - r**5 wrt r?" }, { "from": "gpt", "value": "-360*r**2" } ]
[ { "from": "human", "value": "Let s = 6.75 - 6.8. Are -0.1 and s nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the ten thousands digit of 30184?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate -131352 divided by -6." }, { "from": "gpt", "value": "21892" } ]
[ { "from": "human", "value": "Let o = 18 - 19. Let n(r) = r**2 - r + 6. Let d(j) = 1 - j. Let v(t) = o*n(t) + 4*d(t). What is u in v(u) = 0?" }, { "from": "gpt", "value": "-2, -1" } ]
[ { "from": "human", "value": "Let p = 38 - 37. What is the closest to -0.1 in -4, -2/5, p?" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "What is the product of -0.04 and 2.27?" }, { "from": "gpt", "value": "-0.0908" } ]
[ { "from": "human", "value": "Suppose -46*i + 39*i = -28. Solve 0 = -i*t - t + 15 for t." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Evaluate -2 + (-2 - -2) - (-4 - -3)." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let l(n) = 2*n**2 - 51*n - 24. Let h be l(26). Solve 2*g - 6 = -h for g." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the third root of 1793 to the nearest integer?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Is 9 a factor of 1469?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 332 minutes after 3:51 PM?" }, { "from": "gpt", "value": "9:23 PM" } ]
[ { "from": "human", "value": "Solve 3*s = 3*c + 9, 8 = 2*c + 4*s - 4 for c." }, { "from": "gpt", "value": "0" } ]