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math

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[ { "from": "human", "value": "What is ba (base 15) in base 10?" }, { "from": "gpt", "value": "175" } ]
[ { "from": "human", "value": "Suppose 1 = -5*x + 16. Solve -1/3*j**x - 2/3*j + 0 + j**2 = 0." }, { "from": "gpt", "value": "0, 1, 2" } ]
[ { "from": "human", "value": "Let o = -29 + 34. Suppose z = 3*z - p - 4, 0 = 5*z - 5*p. Let a(x) = -x**2 + 3*x + 6. Let v be a(z). Sort o, -2, v in decreasing order." }, { "from": "gpt", "value": "o, v, -2" } ]
[ { "from": "human", "value": "Is 84 < 90?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let g(r) = r - 1. Let p be g(16). Let c = -4 - -2. Let u be 0/c + (p - -5). Solve -u = -3*y - y for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Multiply -0.1343 and 0." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Factor 5*l**2 - 3260*l + 531380." }, { "from": "gpt", "value": "5*(l - 326)**2" } ]
[ { "from": "human", "value": "-1537+0.03" }, { "from": "gpt", "value": "-1536.97" } ]
[ { "from": "human", "value": "What is the remainder when 1420 is divided by 53?" }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "In base 16, what is -bf + -8?" }, { "from": "gpt", "value": "-c7" } ]
[ { "from": "human", "value": "What is next in -108, -200, -292, -384, -476, -568?" }, { "from": "gpt", "value": "-660" } ]
[ { "from": "human", "value": "Let s(g) = 75*g + 1. Give s(-1)." }, { "from": "gpt", "value": "-74" } ]
[ { "from": "human", "value": "Let u(o) = -o**2 - o + 23. Let f be u(-5). Solve 15 = f*v - 2*l, 3*v + 2*v - 25 = 2*l for v." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the remainder when (0 - (-2)/4)/((-28)/(-1736)) is divided by 9?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the fifth biggest value in 3, -17, -5, -1/2, -6/11?" }, { "from": "gpt", "value": "-17" } ]
[ { "from": "human", "value": "Does 20 divide 573780?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Expand (-2*t**5 - t**3 + t**3)*(-2 + 4 - 3 - 1 - 2 + 1 + (0 - 2 + 0)*(0 - 1 + 0) + 0 + 3 - 1)." }, { "from": "gpt", "value": "-2*t**5" } ]
[ { "from": "human", "value": "Suppose 3*x - 6 = 6*x. Does 8 divide -2 + -2 + 29 + x?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Divide -235 by 2." }, { "from": "gpt", "value": "-235/2" } ]
[ { "from": "human", "value": "What is 376043 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "72" } ]
[ { "from": "human", "value": "What is the derivative of -11*n**3*y**3 + 20*n**3*y + 1584*y**3 wrt n?" }, { "from": "gpt", "value": "-33*n**2*y**3 + 60*n**2*y" } ]
[ { "from": "human", "value": "In base 16, what is 1e - -4?" }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "What is the r'th term of 1333, 2663, 3993, 5323?" }, { "from": "gpt", "value": "1330*r + 3" } ]
[ { "from": "human", "value": "What is the b'th term of -255, -1065, -2427, -4347, -6831, -9885, -13515?" }, { "from": "gpt", "value": "-b**3 - 270*b**2 + 7*b + 9" } ]
[ { "from": "human", "value": "Multiply 38 and 21.7." }, { "from": "gpt", "value": "824.6" } ]
[ { "from": "human", "value": "What is the nearest to -0.1 in -2/3, -0.2, 0.3, 5/4?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "What is -30 rounded to 0 decimal places?" }, { "from": "gpt", "value": "-30.0" } ]
[ { "from": "human", "value": "Sum 0.17 and -3437." }, { "from": "gpt", "value": "-3436.83" } ]
[ { "from": "human", "value": "Which is bigger: 26 or 42?" }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "What is -c (base 16) in base 14?" }, { "from": "gpt", "value": "-c" } ]
[ { "from": "human", "value": "What is next in 161, 165, 171, 179, 189, 201, 215?" }, { "from": "gpt", "value": "231" } ]
[ { "from": "human", "value": "Let q be (3066/(-216))/(-7) - 1 - 1. Let y(r) be the second derivative of -q*r**4 + 0*r**2 + 8*r + 1/18*r**3 + 0. Factor y(x)." }, { "from": "gpt", "value": "-x*(x - 1)/3" } ]
[ { "from": "human", "value": "3500 divided by 700" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Evaluate 53 - 54 - (-1 + -4)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -2*h = 2*h. Suppose 16 = -8*x + 12*x. Solve h = x*q - 20, -2*j + 2*q = -0*q + 4 for j." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let f(d) be the first derivative of -d**6/15 + d**2 - 3*d + 3. Let b(j) be the first derivative of f(j). What is the derivative of b(v) wrt v?" }, { "from": "gpt", "value": "-8*v**3" } ]
[ { "from": "human", "value": "Suppose 0 = -3*p + 15 - 21. Sort 6, -1, p in increasing order." }, { "from": "gpt", "value": "p, -1, 6" } ]
[ { "from": "human", "value": "Convert -1100 (base 2) to base 7." }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "What is -13 (base 15) in base 11?" }, { "from": "gpt", "value": "-17" } ]
[ { "from": "human", "value": "Let x(n) = -18*n**2 + 27*n. Let w(z) = -9*z**2 + 14*z. Let l(u) = -10*w(u) + 4*x(u). What is the second derivative of l(q) wrt q?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Rearrange 2*r**2 - 3*r + 0*r**2 - 34*r**3 + 34*r**3 + 4*r**4 + 2 to the form m + t*r**4 + g*r**3 + v*r + i*r**2 and give v." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What comes next: -483, -1934, -4355, -7746, -12107?" }, { "from": "gpt", "value": "-17438" } ]
[ { "from": "human", "value": "2 - (-8 - (-22 + 10))" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Evaluate -2 + (-6)/7*(17 - 10)." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Let h = -27 - -27.23. Let a = 584.13 - 584. Let m = a - h. What is the closest to -1 in m, -0.2, -4?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "What is the third derivative of 17*z**2 - 7*z**3 + 0*z**2 - 10*z**2 wrt z?" }, { "from": "gpt", "value": "-42" } ]
[ { "from": "human", "value": "How many minutes are there between 12:29 AM and 10:59 AM?" }, { "from": "gpt", "value": "630" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 1530 and 72." }, { "from": "gpt", "value": "6120" } ]
[ { "from": "human", "value": "What is -3 + -3 - (-6 + -1 + -3)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "-59 divided by -13" }, { "from": "gpt", "value": "59/13" } ]
[ { "from": "human", "value": "Let -4*j**3 - 72*j**2 - 128*j = 0. Calculate j." }, { "from": "gpt", "value": "-16, -2, 0" } ]
[ { "from": "human", "value": "What is the derivative of z**2 - 17*z - 185?" }, { "from": "gpt", "value": "2*z - 17" } ]
[ { "from": "human", "value": "Suppose 4*l + 13 = 5*l - 2*d, 25 = -5*d. What is the second derivative of 2*c**3 + 22*c**2 + 724*c - l*c**2 - 660*c wrt c?" }, { "from": "gpt", "value": "12*c + 38" } ]
[ { "from": "human", "value": "Suppose -3*v - g = -v - 3, 4 = -4*g. Suppose -18 + 53 = 5*b. Suppose -9 = -4*p + b. Solve -v*s - 12 = -5*h + h, s = h - p for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the second biggest value in -0.4, 3/4, 26?" }, { "from": "gpt", "value": "3/4" } ]
[ { "from": "human", "value": "Is 112 a multiple of 28?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Expand ((-2*u - 5*u + 5*u)*(-1 - 2 + 1) - 3 + 3 + 2*u + (2 - 1 - 2)*(0*u + 0*u - u))*(0 - 1 + 0)." }, { "from": "gpt", "value": "-7*u" } ]
[ { "from": "human", "value": "Suppose 2 = -7*l + 5*l. Let d be l/(-3)*(5 + -5). Which is smaller: d or -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the next term in -18, -91, -206, -357, -538, -743, -966, -1201?" }, { "from": "gpt", "value": "-1442" } ]
[ { "from": "human", "value": "Suppose 4*b**2 - 128*b + 124 = 0. Calculate b." }, { "from": "gpt", "value": "1, 31" } ]
[ { "from": "human", "value": "Solve 4*s - 5*z - 8 = 0, -3*z + z - 2 = -s for s." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 23*v + 10*v = 132 for v." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the next term in 56, 59, 62?" }, { "from": "gpt", "value": "65" } ]
[ { "from": "human", "value": "Solve -15 = l - 4*j, -2*l - 6*j + 4*j + 10 = 0 for l." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify 2*sqrt(50)*-6." }, { "from": "gpt", "value": "-60*sqrt(2)" } ]
[ { "from": "human", "value": "Calculate the remainder when 1880 is divided by 611." }, { "from": "gpt", "value": "47" } ]
[ { "from": "human", "value": "Let p(i) = -8 + 1 + i**3 - 4*i**2 - 3*i - 2*i. Let c(m) = -m**2 + 8*m - 2. Let v be c(8). Let s = 3 - v. What is p(s)?" }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Suppose -3*i = -2 + 20. Let f be 0 + (5 - i/(-3)). Factor 3/4*y**4 + 9/2*y**2 + 3/4 + 3*y**f + 3*y." }, { "from": "gpt", "value": "3*(y + 1)**4/4" } ]
[ { "from": "human", "value": "What is the value of (-15)/(-25)*10/4?" }, { "from": "gpt", "value": "3/2" } ]
[ { "from": "human", "value": "Let u(l) be the second derivative of -3*l**5/20 - l**4/4 + l**3 - l. Let u(i) = 0. What is i?" }, { "from": "gpt", "value": "-2, 0, 1" } ]
[ { "from": "human", "value": "Solve -116 = -7*f - 55 - 54 for f." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the next term in -25, -94, -163?" }, { "from": "gpt", "value": "-232" } ]
[ { "from": "human", "value": "Let y = -22.6 - -22.6000177. What is y rounded to six decimal places?" }, { "from": "gpt", "value": "1.8e-05" } ]
[ { "from": "human", "value": "Suppose 5*y = 20, w = 3*w - 4*y + 16. Solve w*g + 9 = 3*g for g." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let y be (6/(-3))/(2/(-4)). Solve -3*b - y = -2*w, w - 4 + 3 = 2*b for w." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Find the second derivative of -2*g**5*n**2 + g**5 + 10*g**2*n + 8*g*n**2 + 9*g*n wrt g." }, { "from": "gpt", "value": "-40*g**3*n**2 + 20*g**3 + 20*n" } ]
[ { "from": "human", "value": "Solve 0 = -2*z - 5*l + 24, -2*z - 3*l + 20 = 2*z for z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the third derivative of 8*q**6 - 31*q**2 - 2095*q**5 + 2095*q**5 wrt q?" }, { "from": "gpt", "value": "960*q**3" } ]
[ { "from": "human", "value": "What is (-8)/12*((-81)/(-39))/9?" }, { "from": "gpt", "value": "-2/13" } ]
[ { "from": "human", "value": "Suppose 0 = 5*p - 6 - 24. Suppose n - p*n + 60 = 0. Is 12 a factor of n?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify ((-2*sqrt(336))/sqrt(12))/sqrt(4)." }, { "from": "gpt", "value": "-2*sqrt(7)" } ]
[ { "from": "human", "value": "Does 784 = 784?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let b be (4/(-42690))/(4/(-20)). Let t = 20870/1423 + b. Suppose 22*p**2 - 5/3*p**3 - 25/3*p**4 - t*p + 8/3 = 0. What is p?" }, { "from": "gpt", "value": "-2, 2/5, 1" } ]
[ { "from": "human", "value": "Simplify ((sqrt(68)*2 - sqrt(68)) + sqrt(68))/sqrt(4) + ((-2*sqrt(153))/sqrt(9))**2." }, { "from": "gpt", "value": "2*sqrt(17) + 68" } ]
[ { "from": "human", "value": "Evaluate -7 + 0 - (-5 - -3)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let g = 44 - 51.1. Let h = -7.2 - g. Let v = 7 - 3. Which is the closest to h? (a) -0.1 (b) v (c) 2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let o = -0.27 - 0.23. Sort 25, o, -0.1, 1/6 in increasing order." }, { "from": "gpt", "value": "o, -0.1, 1/6, 25" } ]
[ { "from": "human", "value": "Let m be 36/10 - 20/(-50). Let l(z) = -7*z**2 + 8*z + 9. Let w(k) = 10*k**2 - 12*k - 13. Let c(d) = -7*l(d) - 5*w(d). Let i be c(m). Solve -2 = 4*r + i for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose 0*f - 13 = -3*c - 2*f, -2*c - 3*f + 12 = 0. Suppose -c*p + 21 + 96 = 0. What is the remainder when p is divided by 14?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is 12 (base 6) in base 15?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Rearrange s**2 + s**2 + 10 - 4*s**3 - 12 + 0*s**3 to u*s + k*s**2 + c + d*s**3 and give c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 697 minutes after 3:08 PM?" }, { "from": "gpt", "value": "2:45 AM" } ]
[ { "from": "human", "value": "Collect the terms in 31 - 29 - 157*p - p." }, { "from": "gpt", "value": "2 - 158*p" } ]
[ { "from": "human", "value": "Simplify sqrt(66)/(sqrt(42)/(sqrt(7) + sqrt(7) + sqrt(35)/sqrt(5)) - sqrt(6))." }, { "from": "gpt", "value": "-3*sqrt(11)/2" } ]
[ { "from": "human", "value": "Solve 2*p + 5 = 7 for p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 636 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "Let l be (-4)/(-10) - (1 - (-4)/10). Let s(n) = 74*n**2 + 4*n + 4. What is the tens digit of s(l)?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "5*0.024" }, { "from": "gpt", "value": "0.12" } ]
[ { "from": "human", "value": "Does 14 divide -2*((-67)/2 + 0)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is next in -12, -22, -36, -54?" }, { "from": "gpt", "value": "-76" } ]