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math

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[ { "from": "human", "value": "Is -1 less than -1/215?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -i = 2, -3*y + 10 = -5*i - 6. Suppose -y*d = -4*d. Let u(v) = v**2 + v + 3. Determine u(d)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Put -5, 4, -1, 5, 1 in descending order." }, { "from": "gpt", "value": "5, 4, 1, -1, -5" } ]
[ { "from": "human", "value": "What is the closest to 1 in -5, 4, 2, -37?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let f = -6 + 5. Let i = -7/6 - -37/42. Which is smaller: f or i?" }, { "from": "gpt", "value": "f" } ]
[ { "from": "human", "value": "What is the value of (2 - 4) + -1 + 7?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the m'th term of -79, -145, -221, -313, -427, -569, -745?" }, { "from": "gpt", "value": "-m**3 + m**2 - 62*m - 17" } ]
[ { "from": "human", "value": "Solve -5*y - 5 = -4*z + 13, y = z - 4 for z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is next in -1, -21, -59, -115, -189, -281, -391?" }, { "from": "gpt", "value": "-519" } ]
[ { "from": "human", "value": "Solve -p + 1 = -0*v - 3*v, -5*v = p - 1 for v." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let w = 2.959 + 0.041. Which is the second biggest value? (a) 3/4 (b) 0 (c) w" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let m = 9 + -9.5. Let b = -0.24 + -0.1. Let t = b - 0.06. What is the third biggest value in m, -3/4, t?" }, { "from": "gpt", "value": "-3/4" } ]
[ { "from": "human", "value": "Let m be ((-5)/(-45))/(5/6). Which is smaller: m or -1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -3*l = -f + 153, -3*f + l + 491 = 16. Suppose -5*w + f = 64. What is the second derivative of -m**4 + w*m - m**4 - 3*m**4 wrt m?" }, { "from": "gpt", "value": "-60*m**2" } ]
[ { "from": "human", "value": "What is the nearest to 2 in 0.5, 5, 9?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "What is the biggest value in 1, 2, -4, -8?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the highest common divisor of 1150 and 46?" }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "Suppose -2887 = -5*a + 288. Is a composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Put -2/9, -2/59, 1/3 in descending order." }, { "from": "gpt", "value": "1/3, -2/59, -2/9" } ]
[ { "from": "human", "value": "Let p = -1.937 - 0.063. What is the second smallest value in 0, -0.1, p?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Suppose -2*n + 32*t - 3 = 35*t, 0 = n + 4*t + 9. Let u be 3/(-2) + 2 - -1. Factor u*s**4 - 3/4*s**5 + 0*s**2 - 3/4*s**n + 0*s + 0." }, { "from": "gpt", "value": "-3*s**3*(s - 1)**2/4" } ]
[ { "from": "human", "value": "Suppose s = -5*c - 6, 6*s - 2*s - 51 = 5*c. Calculate the remainder when 22 is divided by s." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What comes next: -131, -167, -207, -251, -299, -351?" }, { "from": "gpt", "value": "-407" } ]
[ { "from": "human", "value": "Let q = -2 + 4. Suppose 4*f = q*f. Solve f - 12 = -4*u for u." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 8, what is -15 - -6?" }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let t(n) be the first derivative of -n**5/15 + 5*n**4/24 - n**2 + 1. Let q(h) be the second derivative of t(h). What is the second derivative of q(y) wrt y?" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Let n(s) be the third derivative of s**2 - 1/48*s**4 + 0*s**3 + 0 - 1/120*s**5 + 1/240*s**6 + 0*s + 1/420*s**7. Factor n(z)." }, { "from": "gpt", "value": "z*(z - 1)*(z + 1)**2/2" } ]
[ { "from": "human", "value": "Let g(h) = h**3 - h**2 + h + 1. Let a(y) = 9*y**3 - y**2 + 5*y + 5. Let l(t) = -a(t) + 5*g(t). What is b in l(b) = 0?" }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Is 179519 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let j = 4409/13 - 339. Let l(x) = x**3 - 12*x**2 + 10*x + 10. Let i be l(11). Does i = j?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "522 divided by 87" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Is 10268060 < 10268056?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 0 = -5*p + 15, -2*x = p - 12 + 5 for x." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Does 202 divide 63430?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 13, what is 1909057 + 18?" }, { "from": "gpt", "value": "1909072" } ]
[ { "from": "human", "value": "600798248 - 0.1" }, { "from": "gpt", "value": "600798247.9" } ]
[ { "from": "human", "value": "Solve -29*s + 30*s = -1 for s." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is -0.4 times -66?" }, { "from": "gpt", "value": "26.4" } ]
[ { "from": "human", "value": "Calculate 7/(98/18) + (-1)/1." }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "-1920 divided by -480" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let h(u) be the second derivative of -u**4/6 - u**3/2 - 2*u. Find the second derivative of h(j) wrt j." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Convert 0.2973424 millennia to months." }, { "from": "gpt", "value": "3568.1088" } ]
[ { "from": "human", "value": "Let m(i) = -i**2 + 6*i + 5. Let u be m(6). Suppose 2*s = u + 5. Suppose 0 = -q - 4*l - 10, -4*q - 5*l - 1 = -2*l. Solve -q*r + 1 = j, r + r - 19 = s*j for j." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is (-1708)/(-24) + 2/(-12) prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the i'th term of 92829, 92831, 92831, 92829, 92825?" }, { "from": "gpt", "value": "-i**2 + 5*i + 92825" } ]
[ { "from": "human", "value": "Let h = -17 - -29. Let s = -4 + h. Suppose 0 = 3*g - s - 4. What are the prime factors of g?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "List the prime factors of 19202." }, { "from": "gpt", "value": "2, 9601" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 24 and 16?" }, { "from": "gpt", "value": "48" } ]
[ { "from": "human", "value": "What is the o'th term of 35, 50, 75, 110, 155, 210?" }, { "from": "gpt", "value": "5*o**2 + 30" } ]
[ { "from": "human", "value": "Let t be (2/(-3))/((-4)/12 - 0). Suppose 4*l - t = 3*l. Suppose -l*s - 48 = -52. Solve 7 - s = 5*w for w." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the b'th term of 1, 107, 379, 901, 1757?" }, { "from": "gpt", "value": "14*b**3 - b**2 + 11*b - 23" } ]
[ { "from": "human", "value": "What is the third derivative of -23112*w**3 - 15824*w**2?" }, { "from": "gpt", "value": "-138672" } ]
[ { "from": "human", "value": "Let t be (6/3)/(1/1). Solve 5*f = -i + 8, -3 = t*i + 2*f - 11 for i." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 5*u - 8*u + 5*b = 10, -10 = -5*u - 5*b for u." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is (-3)/(-4)*16/(-4 - 0)?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -4*y = -y - 12. Let w be 4/(-1) + (-7 - -16). Solve -4*u - 24 = w*b + 7, -b - y*u - 19 = 0 for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let g be 19396/(-32) + 3/24. Let x = -377 - g. What is the hundreds digit of x?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose y + 6 = 4*y, 0 = 3*x - 3*y - 6. Suppose -13 = -s + 4. Let p = s - x. What is the remainder when 37 is divided by p?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Solve 5*m - 2*m + 19 = -5*r, -m - 11 = 4*r for m." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the third root of 332 to the nearest integer?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let r(x) be the second derivative of x**6/60 + 11*x**5/80 + 3*x**4/8 + x**3/6 - x**2 + 8*x. Determine i, given that r(i) = 0." }, { "from": "gpt", "value": "-2, 1/2" } ]
[ { "from": "human", "value": "In base 9, what is -2 - -12?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Put -0.3, 0.5, -20.2, -0.5 in decreasing order." }, { "from": "gpt", "value": "0.5, -0.3, -0.5, -20.2" } ]
[ { "from": "human", "value": "What is the value of 104/12 - 7 - 1?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "Let p(t) = -t**3 - 5*t**2 - 2*t + 4. Let z be p(-3). Let i = z - -11. Does 13 divide (-40)/(-1) - i/3?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 2*n - 32 = -0*n. Let m = 38 + -19. Suppose -2*d - 3*v + 19 = 0, 5*v - m = 3*d - 0. Solve 0*s = d*w + 3*s - 10, -4*w + n = 5*s for w." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Total of 0.3 and 5." }, { "from": "gpt", "value": "5.3" } ]
[ { "from": "human", "value": "What is the second derivative of 3*l**3*t**2 + 4*l**2*t**3 + 15*l**2*t - 5*l*t**3 - 16*t**3 + 2 wrt l?" }, { "from": "gpt", "value": "18*l*t**2 + 8*t**3 + 30*t" } ]
[ { "from": "human", "value": "Let m be -2 - 3*15/(-9). Let d(a) be the first derivative of -a - 5/4*a**2 + 2 - 1/3*a**m. Factor d(f)." }, { "from": "gpt", "value": "-(f + 2)*(2*f + 1)/2" } ]
[ { "from": "human", "value": "Evaluate (10/6)/((-385)/(-924))." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let h be 54/15*5/2. Suppose -2*q + h = q. Find the second derivative of -6*l**4 + l**4 + l**4 - q*l wrt l." }, { "from": "gpt", "value": "-48*l**2" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 32 and 14512." }, { "from": "gpt", "value": "16" } ]
[ { "from": "human", "value": "Suppose 3*y**5/7 - 33*y**4/7 + 60*y**3/7 + 240*y**2/7 - 288*y/7 - 432/7 = 0. Calculate y." }, { "from": "gpt", "value": "-2, -1, 2, 6" } ]
[ { "from": "human", "value": "Divide -4027 by 446." }, { "from": "gpt", "value": "-4027/446" } ]
[ { "from": "human", "value": "What is the eighth root of 71890 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let m(g) = 2 - 9*g. Let d(c) = -c - 1. What is 2*d(j) + m(j)?" }, { "from": "gpt", "value": "-11*j" } ]
[ { "from": "human", "value": "What is the n'th term of -3, 34, 81, 132, 181, 222?" }, { "from": "gpt", "value": "-n**3 + 11*n**2 + 11*n - 24" } ]
[ { "from": "human", "value": "How many minutes are there between 11:34 AM and 12:15 PM?" }, { "from": "gpt", "value": "41" } ]
[ { "from": "human", "value": "Find the third derivative of 130*i**3*s**3 - 11*i**3*s - 2*i**2*s**3 + 2*i*s + 489*s**3 wrt i." }, { "from": "gpt", "value": "780*s**3 - 66*s" } ]
[ { "from": "human", "value": "Solve 66*t = 75*t + 45 for t." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Collect the terms in -48*l**2 + 130*l**2 - 48*l**2 - 36*l**2." }, { "from": "gpt", "value": "-2*l**2" } ]
[ { "from": "human", "value": "Let b = -0.01 + 0.41. What is the nearest to b in -5, -2/7, 0.5?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "What is (0 - -4)/(-2) - (27 - 23)?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let k(q) = q**2 + 5*q - 6. Let a be k(-6). Let z = 5 + -6. Let p be a/1 - z/1. Calculate the greatest common factor of 7 and p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 12 = 4*k, 3*b = 2*b + k. Solve -2*z - 3 = b for z." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let l(r) = r**2 + 3. Let o be l(0). Suppose s - 44 = -o*s. Is s composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What comes next: -4, 83, 242, 467, 752, 1091?" }, { "from": "gpt", "value": "1478" } ]
[ { "from": "human", "value": "What is the next term in -1180, -2362, -3534, -4690, -5824, -6930, -8002?" }, { "from": "gpt", "value": "-9034" } ]
[ { "from": "human", "value": "Differentiate 4160*p + 2661." }, { "from": "gpt", "value": "4160" } ]
[ { "from": "human", "value": "Is 60 <= 61?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Collect the terms in -c + 3*c - 33*c**2 - 2*c." }, { "from": "gpt", "value": "-33*c**2" } ]
[ { "from": "human", "value": "Factor 4*t**4 + 70*t**3 - 38*t**2 - 36*t." }, { "from": "gpt", "value": "2*t*(t - 1)*(t + 18)*(2*t + 1)" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -14/3 (b) -0.3 (c) -5 (d) 0.15" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let g be ((3 + -2)/1)/1. Let a = g + -3/4. Factor 1/4*u**2 + 0*u + 1/4*u**5 - a*u**3 + 0 - 1/4*u**4." }, { "from": "gpt", "value": "u**2*(u - 1)**2*(u + 1)/4" } ]
[ { "from": "human", "value": "Let u be (-5 + 0 + 9)*(-2)/(-4). Solve -2 = -y - 3*d, -u*d + 2 = -0*d for y." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the m'th term of 869, 874, 881, 890, 901, 914?" }, { "from": "gpt", "value": "m**2 + 2*m + 866" } ]
[ { "from": "human", "value": "Calculate the remainder when 60 is divided by 39." }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Let g(a) = a**2 - 5*a - 4. Suppose -s + 6 = -0*s. Let k be g(s). Factor 0 - b + 1/2*b**k." }, { "from": "gpt", "value": "b*(b - 2)/2" } ]
[ { "from": "human", "value": "Is 4 a factor of 840?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "11436 divided by 3" }, { "from": "gpt", "value": "3812" } ]