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[ { "from": "human", "value": "What is the cube root of 1677866961 to the nearest integer?" }, { "from": "gpt", "value": "1188" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 1 (b) 3 (c) -2/5 (d) 5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Simplify sqrt(77)/(sqrt(28)/sqrt(64))." }, { "from": "gpt", "value": "4*sqrt(11)" } ]
[ { "from": "human", "value": "Suppose 5*q + 4*t + 1 = 15, 3*q - 3*t - 3 = 0. Suppose q*s - 27 = -s. Calculate the remainder when s is divided by 6." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is 4 (base 9) in base 14?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let p(r) = -r**2 - 6*r - 8. Let x be p(-4). What is the third derivative of x*d**2 - 8*d**6 + 7*d**2 + 7*d**6 wrt d?" }, { "from": "gpt", "value": "-120*d**3" } ]
[ { "from": "human", "value": "Let h(z) = -z**3 - 8*z**2 - 5*z + 9. Let t be h(-7). Let p = 1/42 + -89/210. What is the second biggest value in t, p, 4/7?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "Expand (3*b + 2 + 2*b - 2*b)*(3*b**3 - 6*b**3 + b**3)." }, { "from": "gpt", "value": "-6*b**4 - 4*b**3" } ]
[ { "from": "human", "value": "Evaluate 11 - (7 + -4) - (3 - 0)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate (-6)/2 - 32*5/(-50)." }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "Add together -4 and 138." }, { "from": "gpt", "value": "134" } ]
[ { "from": "human", "value": "What is -50 (base 11) in base 14?" }, { "from": "gpt", "value": "-3d" } ]
[ { "from": "human", "value": "Collect the terms in 4797*f - 14381*f + 4 + 4798*f + 4789*f." }, { "from": "gpt", "value": "3*f + 4" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 70028 and 246." }, { "from": "gpt", "value": "82" } ]
[ { "from": "human", "value": "In base 3, what is 11001 + 1101?" }, { "from": "gpt", "value": "12102" } ]
[ { "from": "human", "value": "What is the nearest to 2/7 in 0.2, -4, -3/4?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "What is the remainder when 23 is divided by 16?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the fourth smallest value in -1/5, -0.11, 5, 2?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 4 = 2*c + 4*m - 8, 3*c = 5*m + 7. What are the prime factors of (2 - c) + 4 + 28?" }, { "from": "gpt", "value": "2, 3, 5" } ]
[ { "from": "human", "value": "Solve -4*n**3 - 120*n**2 - 116*n = 0." }, { "from": "gpt", "value": "-29, -1, 0" } ]
[ { "from": "human", "value": "Which is the closest to 0? (a) 3/2 (b) 0.2 (c) 1 (d) 0.1 (e) -34.35" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the value of 6/(-8) - (-6)/(-360)*-69?" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "Calculate the remainder when 922 is divided by 21." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Suppose -x + 2*o = 3*o + 10, -4*x + 5*o = -5. Let a be 0 - x - (1 - 1). Let m = 25 + -9. Solve a*s + m = -2*h, -5*h + 4*s - 6 = -32 for h." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate 0/((-1*4)/(1*-4))." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate the remainder when 527 is divided by 108." }, { "from": "gpt", "value": "95" } ]
[ { "from": "human", "value": "Calculate 1 + 3 - (-1 - -1 - 1)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the t'th term of 47, 55, 63, 71, 79, 87?" }, { "from": "gpt", "value": "8*t + 39" } ]
[ { "from": "human", "value": "Let m(a) = -a. Let j(c) be the second derivative of 0*c**3 + 0*c**2 - 1/12*c**4 + 0 - 3*c. Determine j(m(r))." }, { "from": "gpt", "value": "-r**2" } ]
[ { "from": "human", "value": "Let j = 1.85 + 0.15. Which is the nearest to -0.2? (a) 2/5 (b) -0.03 (c) j" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "-0.1 * 6.88" }, { "from": "gpt", "value": "-0.688" } ]
[ { "from": "human", "value": "Evaluate (2/(-8))/(216/1152)." }, { "from": "gpt", "value": "-4/3" } ]
[ { "from": "human", "value": "Let y(k) be the first derivative of -4/15*k**3 - 6 + 1/5*k**6 + 4/25*k**5 - 2/5*k**4 + 1/5*k**2 + 0*k. Determine o, given that y(o) = 0." }, { "from": "gpt", "value": "-1, 0, 1/3, 1" } ]
[ { "from": "human", "value": "What is 5 times 0.18?" }, { "from": "gpt", "value": "0.9" } ]
[ { "from": "human", "value": "What is -5565 divided by -53?" }, { "from": "gpt", "value": "105" } ]
[ { "from": "human", "value": "Simplify sqrt(68)/sqrt(4) + 0 - (4 + sqrt(17)*-1)." }, { "from": "gpt", "value": "-4 + 2*sqrt(17)" } ]
[ { "from": "human", "value": "What is 432 minutes after 5:10 AM?" }, { "from": "gpt", "value": "12:22 PM" } ]
[ { "from": "human", "value": "How many tonnes are there in 60.23124 nanograms?" }, { "from": "gpt", "value": "0.00000000000006023124" } ]
[ { "from": "human", "value": "In base 8, what is 1423 + -21?" }, { "from": "gpt", "value": "1402" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 55 and 40?" }, { "from": "gpt", "value": "440" } ]
[ { "from": "human", "value": "Find the common denominator of 157/3564 and 34/333." }, { "from": "gpt", "value": "131868" } ]
[ { "from": "human", "value": "Simplify 2*(sqrt(84) + (sqrt(84) - sqrt(84)*-1))/sqrt(12)." }, { "from": "gpt", "value": "6*sqrt(7)" } ]
[ { "from": "human", "value": "Factor -64*n - 8 - 53*n**2 + 6*n**3 - 28*n**2 + 156*n**3 - 9*n**2." }, { "from": "gpt", "value": "2*(n - 1)*(9*n + 2)**2" } ]
[ { "from": "human", "value": "Differentiate -2230*s**3 - s**2 + 13593 wrt s." }, { "from": "gpt", "value": "-6690*s**2 - 2*s" } ]
[ { "from": "human", "value": "Let m = 13 + -12. Which is the nearest to -0.2? (a) 0.3 (b) m (c) 2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let m = -3 - -6. Suppose m*c = -5*r + 315, -2*c - 4*r + 210 = -0*c. Suppose 17*p = 18*p - c. What is the hundreds digit of p?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let r(m) = m**2 - 2*m + 1. Calculate the lowest common multiple of r(-2) and 8." }, { "from": "gpt", "value": "72" } ]
[ { "from": "human", "value": "What is -228344 + -0.3?" }, { "from": "gpt", "value": "-228344.3" } ]
[ { "from": "human", "value": "120/1632*12/15" }, { "from": "gpt", "value": "1/17" } ]
[ { "from": "human", "value": "Which is the closest to -1/3? (a) 9 (b) -1 (c) 1 (d) -4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Simplify 6*(0 + sqrt(684))**2 + -1 + (2*sqrt(684))**2." }, { "from": "gpt", "value": "6839" } ]
[ { "from": "human", "value": "Solve 21 = 2*b + 3*c, -2*b - 10*c + 11 = -9*c for b." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let i(b) = -7*b - 3. Let z(d) = 5*d + 2. Let f(m) = 5*i(m) + 8*z(m). Let q be f(4). Let w = -7 + q. What is the tens digit of w?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let v(a) = a**3 + 2*a**2 - 5*a - 3. Let d be v(-3). Suppose -d*p + 36 = -5*y - 44, 2*y = -5*p + 123. Let m = p - 15. Is m a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Factor -1/3 + 7/6*s - 1/2*s**2." }, { "from": "gpt", "value": "-(s - 2)*(3*s - 1)/6" } ]
[ { "from": "human", "value": "Calculate 10 - 16 - (-8 + 3 - 2)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 0 = -c - 3*k - 14 + 10, -k - 16 = 4*c for c." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the derivative of -2*c**2*i**2*m + 2*c**2*i - 4*c*i**2 + 2*c*m - 13*i**3*m + 46*i**3 wrt m?" }, { "from": "gpt", "value": "-2*c**2*i**2 + 2*c - 13*i**3" } ]
[ { "from": "human", "value": "Which is the fourth biggest value? (a) 2 (b) 12 (c) -4/7 (d) -50" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the third smallest value in -2/3, -25, 0, 9, -0.1?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Calculate 7 - 7 - (1 - (2 - -1))." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let z(f) = -18*f - 4. Let s be z(-3). Let l = 28 + -20. Let n(b) = b + 2. Let u be n(l). What is the highest common factor of s and u?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Simplify 4*(sqrt(475)*-2*-1)**2." }, { "from": "gpt", "value": "7600" } ]
[ { "from": "human", "value": "Is 27/91 less than or equal to 1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the eighth root of 74 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -36 = -2*p - 5*q - 48, -28 = -5*p + 2*q for p." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let a(c) = 24 - 18*c. Let m(b) = 6*b - 8. Let s(u) = 3*a(u) + 8*m(u). Find the first derivative of s(p) wrt p." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let v(y) be the first derivative of y**4/28 + y**3/21 - 2. Factor v(c)." }, { "from": "gpt", "value": "c**2*(c + 1)/7" } ]
[ { "from": "human", "value": "Calculate 0 divided by -52." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the b'th term of 36, 72, 108?" }, { "from": "gpt", "value": "36*b" } ]
[ { "from": "human", "value": "Solve 0 = 641*z - 632*z + 18 for z." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is 279 a multiple of 46?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -6 - 2051?" }, { "from": "gpt", "value": "-2057" } ]
[ { "from": "human", "value": "Calculate (-18)/(-27)*12/(-52)." }, { "from": "gpt", "value": "-2/13" } ]
[ { "from": "human", "value": "Let s(b) = b**3 - 3*b**2 + 5*b - 10. Give s(3)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "1149 + -141" }, { "from": "gpt", "value": "1008" } ]
[ { "from": "human", "value": "What is the k'th term of -657, -662, -679, -714, -773?" }, { "from": "gpt", "value": "-k**3 + 2*k - 658" } ]
[ { "from": "human", "value": "Express -25*h - 2 - 1 + 3 as i + k*h and give k." }, { "from": "gpt", "value": "-25" } ]
[ { "from": "human", "value": "0.11 times -55" }, { "from": "gpt", "value": "-6.05" } ]
[ { "from": "human", "value": "Suppose -12 = -2*m - 10*m. Suppose -4*q = -8 - 8. Solve -q = r + m for r." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 3*h = 4*h - 8. Suppose 0 = 2*x + l - h, 2*x - 27 + 7 = -4*l. Solve -2*d = -x*w - 0*w - 10, -2*d = 5*w + 18 for w." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the second derivative of 4337*w**2 + 6082*w?" }, { "from": "gpt", "value": "8674" } ]
[ { "from": "human", "value": "In base 7, what is 10140 + 6?" }, { "from": "gpt", "value": "10146" } ]
[ { "from": "human", "value": "Solve 4*x - 3*s - 2 = 0, 2*x - 5 = 4*s + 1 for x." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let z = 283/2 - 134. Solve 6 - 21/2*r**2 - 12*r + z*r**3 = 0 for r." }, { "from": "gpt", "value": "-1, 2/5, 2" } ]
[ { "from": "human", "value": "What is the next term in -10, -52, -124, -232, -382?" }, { "from": "gpt", "value": "-580" } ]
[ { "from": "human", "value": "Let v = 71 + -66. Suppose -l = -v*l + 20. Suppose 3*f - 44 = -3*u + 7*u, 26 = -u - 3*f. Put u, 0.5, l in descending order." }, { "from": "gpt", "value": "l, 0.5, u" } ]
[ { "from": "human", "value": "What is the closest to 3 in 1/7, -2.1, 0?" }, { "from": "gpt", "value": "1/7" } ]
[ { "from": "human", "value": "What are the prime factors of 42248?" }, { "from": "gpt", "value": "2, 5281" } ]
[ { "from": "human", "value": "What is the w'th term of -270, -269, -268, -267, -266, -265?" }, { "from": "gpt", "value": "w - 271" } ]
[ { "from": "human", "value": "Collect the terms in -33*o + 162 + 0*o - 162." }, { "from": "gpt", "value": "-33*o" } ]
[ { "from": "human", "value": "What is the third root of 272999726 to the nearest integer?" }, { "from": "gpt", "value": "649" } ]
[ { "from": "human", "value": "What is the next term in 30, 26, 18, 6, -10?" }, { "from": "gpt", "value": "-30" } ]
[ { "from": "human", "value": "Let q be ((-3)/6)/(1/(-14)). Suppose -4*v - q = -27. Sort -4, v, -3 in decreasing order." }, { "from": "gpt", "value": "v, -3, -4" } ]
[ { "from": "human", "value": "Simplify (((v/v**(-3/5))/v*v*v*v**7*v)/(v**(8/5)/v**0))**(-7/3) assuming v is positive." }, { "from": "gpt", "value": "v**(-21)" } ]
[ { "from": "human", "value": "Express -13 + 11*s + 8 + 5 in the form m*s + z and give m." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let v(i) be the third derivative of -i**5/60 - 7*i**4/24 - 7*i**3/6 - 3*i**2. Let x be v(-5). Solve 5 = -x*p - 1, 4*r + 5*p = 2 for r." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let l = -8141 - -11748. Is l composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is (-21)/14*(3 - (-154)/(-54))?" }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "What is eleven halves of a century in years?" }, { "from": "gpt", "value": "550" } ]