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[ { "from": "human", "value": "Suppose 0 = -11*a + 16*a - 10. Solve 3*h - 4*h - 2 = a*u, -2*u - 3*h + 2 = 0 for u." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let f be (-3)/(-3) - (3 + -3). Let t be (18/24)/(f/(-4)). Sort t, 0, -4." }, { "from": "gpt", "value": "-4, t, 0" } ]
[ { "from": "human", "value": "What is the y'th term of -6, -8, -10, -12?" }, { "from": "gpt", "value": "-2*y - 4" } ]
[ { "from": "human", "value": "Let w(g) = -4*g**2. Let k(i) be the third derivative of i**4/12 - 2*i**2 - 6*i. Calculate k(w(q))." }, { "from": "gpt", "value": "-8*q**2" } ]
[ { "from": "human", "value": "Simplify (m**(1/2))**(-8/13)/((m/(m**(2/37)*m))/m)**(1/16) assuming m is positive." }, { "from": "gpt", "value": "m**(-1861/7696)" } ]
[ { "from": "human", "value": "What is the greatest common factor of 468 and 1287?" }, { "from": "gpt", "value": "117" } ]
[ { "from": "human", "value": "Is 11459 a multiple of 11?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 5*m**3/2 + 25*m**2 + 85*m/2 + 20 = 0." }, { "from": "gpt", "value": "-8, -1" } ]
[ { "from": "human", "value": "Let k(j) = j**3 + 13*j**2 + 13*j + 17. Let g be k(-12). Suppose -5*h = -p - 21 + 3, g*p - 2 = 2*h. Solve f = -5*v + 13, 2*f - 16 = -2*v - p*f for v." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let z(p) = -p**2 + 10*p - 18. Calculate the least common multiple of z(4) and 29." }, { "from": "gpt", "value": "174" } ]
[ { "from": "human", "value": "Let x be (-9)/12*2/(-3). Let l be -4*(-5)/50*1. What is the closest to l in -2, x, -2/3?" }, { "from": "gpt", "value": "x" } ]
[ { "from": "human", "value": "Simplify (-3 + sqrt(153))**2 - (-1 + sqrt(17) + 0)." }, { "from": "gpt", "value": "163 - 19*sqrt(17)" } ]
[ { "from": "human", "value": "Collect the terms in -44*r**2 - 34*r**2 + 40*r**2." }, { "from": "gpt", "value": "-38*r**2" } ]
[ { "from": "human", "value": "Let b be 3/(9/(-12))*3. Let q = b + 12. Suppose 2/3*y + q - 4/3*y**3 + y**4 - 1/3*y**2 = 0. What is y?" }, { "from": "gpt", "value": "-2/3, 0, 1" } ]
[ { "from": "human", "value": "Let k(p) be the third derivative of 7*p**5/60 - p**4/24 + 3*p**3/2 - 131*p**2. Let m(a) = -3*a**2 + a - 4. Calculate -4*k(z) - 9*m(z)." }, { "from": "gpt", "value": "-z**2 - 5*z" } ]
[ { "from": "human", "value": "What is the square root of 5846 to the nearest integer?" }, { "from": "gpt", "value": "76" } ]
[ { "from": "human", "value": "How many milligrams are there in 1/16 of a kilogram?" }, { "from": "gpt", "value": "62500" } ]
[ { "from": "human", "value": "What is 6651 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "82" } ]
[ { "from": "human", "value": "Let z be -13 - -9 - 0/2. Let x be -2*z/((-8)/(-5)). Is x >= 5?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let z(q) = -q**2 - 5*q + 1. Suppose 2*m + o = -7, 2*m - 3*o = 3*m + 1. What is the remainder when 9 is divided by z(m)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let v = -1.8 + 1.2. Let q = 0.2 + v. What is the closest to -1 in -3, q, 4?" }, { "from": "gpt", "value": "q" } ]
[ { "from": "human", "value": "What is the closest to 1/2 in 0.5, -2/3, 2.3, -1/2?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "What is 55 (base 15) in base 8?" }, { "from": "gpt", "value": "120" } ]
[ { "from": "human", "value": "Let p(n) = 3*n**2 - 5*n + 6. Let w be p(5). Let m = w - 16. Suppose -30 = -3*x + 4*r, 5*r + m = 4*x + 4*r. Is x a multiple of 6?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let c be (-2 - -3)/((-2)/(-4)). Let k(n) = 2*n**2 + n - 3. Let z be k(c). Let p = -4 + 9. Solve 3 = -p*f - z for f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let y(f) = 11*f - 6. List the prime factors of y(5)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Solve -6*x + 22 = 40 for x." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose y = 4*g - 14 - 6, -3*y - 15 = -3*g. Let q be 1 + 8 - 0/(-13). Solve y = -2*l - l + q for l." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 0 = -3*o - 30, o + 16 = 8*q + 8 + 6 for q." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Differentiate 1983*i + 1456 wrt i." }, { "from": "gpt", "value": "1983" } ]
[ { "from": "human", "value": "Sort -1.1, 0.3, -5, -1, -1/15." }, { "from": "gpt", "value": "-5, -1.1, -1, -1/15, 0.3" } ]
[ { "from": "human", "value": "What are the prime factors of 168?" }, { "from": "gpt", "value": "2, 3, 7" } ]
[ { "from": "human", "value": "What is the n'th term of 334, 640, 946, 1252?" }, { "from": "gpt", "value": "306*n + 28" } ]
[ { "from": "human", "value": "In base 6, what is -134 + 2?" }, { "from": "gpt", "value": "-132" } ]
[ { "from": "human", "value": "Solve -3*t + 2*r = -0*r - 1, -5*r = -t - 17 for t." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Evaluate (-2*10/108)/(60/(-72))." }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "41c2 (base 13) to base 8" }, { "from": "gpt", "value": "21633" } ]
[ { "from": "human", "value": "Solve -5*t - 20 = -21*y + 19*y, -2*t - 3*y - 27 = 0 for t." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let j(b) = -b**2. Let x(l) be the second derivative of l**6/240 + l**4/3 - 3*l. Let r(u) be the third derivative of x(u). What is r(j(f))?" }, { "from": "gpt", "value": "-3*f**2" } ]
[ { "from": "human", "value": "What is the c'th term of -5, -7, -9?" }, { "from": "gpt", "value": "-2*c - 3" } ]
[ { "from": "human", "value": "101 (base 7) to base 3" }, { "from": "gpt", "value": "1212" } ]
[ { "from": "human", "value": "Factor 2*y**2/9 + 62*y/9." }, { "from": "gpt", "value": "2*y*(y + 31)/9" } ]
[ { "from": "human", "value": "Subtract 1761 from -0.05." }, { "from": "gpt", "value": "-1761.05" } ]
[ { "from": "human", "value": "Which is the nearest to 1? (a) -0.08 (b) 1/19 (c) 0.3 (d) -1/2" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is next in 427, 846, 1265?" }, { "from": "gpt", "value": "1684" } ]
[ { "from": "human", "value": "Let a(c) = 18*c**2. Let b(q) be the second derivative of -q**4/6 - 2*q. Give b(a(d))." }, { "from": "gpt", "value": "-648*d**4" } ]
[ { "from": "human", "value": "How many milligrams are there in 6.383202 kilograms?" }, { "from": "gpt", "value": "6383202" } ]
[ { "from": "human", "value": "Find the first derivative of -3*p**4 - 2788*p**2 - 2*p - 20850 wrt p." }, { "from": "gpt", "value": "-12*p**3 - 5576*p - 2" } ]
[ { "from": "human", "value": "Simplify n**(1/11)/(n*n/n**3)*n*n**(-3/7)*n**(-5) assuming n is positive." }, { "from": "gpt", "value": "n**(-257/77)" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 425 and 59." }, { "from": "gpt", "value": "25075" } ]
[ { "from": "human", "value": "Let k = 0.43 - 0.03. Let f = 21 - 19. Which is the nearest to f? (a) -5 (b) -0.2 (c) k" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Collect the terms in 5*n - 2*n + 3 + 2*n - 6." }, { "from": "gpt", "value": "5*n - 3" } ]
[ { "from": "human", "value": "Let d(q) = -3*q - 2. Let j be d(-5). Let k(u) = 7*u + 17. Is k(j) a multiple of 28?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let g(o) be the third derivative of -7*o**6/120 - o**5/60 - 5*o**2. What is the third derivative of g(y) wrt y?" }, { "from": "gpt", "value": "-42" } ]
[ { "from": "human", "value": "What is the square root of 92203 to the nearest integer?" }, { "from": "gpt", "value": "304" } ]
[ { "from": "human", "value": "Is 152621 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let i be 2 - (0 + (-3 - -6)). Which is smaller: i or -2/9?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "Solve 3*c + 14 = -5*s, 30 - 33 = c for s." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let a be 2/5 - 4/10. Suppose 10*w - 8*w = 18. Solve a*u - w = -3*u for u." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the u'th term of 327, 1398, 3191, 5712, 8967, 12962?" }, { "from": "gpt", "value": "u**3 + 355*u**2 - u - 28" } ]
[ { "from": "human", "value": "What is the first derivative of 2*i*s*x**3 + 947*i*s*x**2 + i*s*x + 94808*s*x**3 wrt i?" }, { "from": "gpt", "value": "2*s*x**3 + 947*s*x**2 + s*x" } ]
[ { "from": "human", "value": "In base 10, what is -89 - 48?" }, { "from": "gpt", "value": "-137" } ]
[ { "from": "human", "value": "-2 + 0 + 0 + 1 + -4" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Divide 24 by -38." }, { "from": "gpt", "value": "-12/19" } ]
[ { "from": "human", "value": "Let a = 268 - 33. Is a prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -8 = -4*o + 2*v, -20 = -3*o - 2*v + 7*v for o." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate the common denominator of 143/2190 and 16/27." }, { "from": "gpt", "value": "19710" } ]
[ { "from": "human", "value": "(2/14)/((-24)/28)" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "32 (base 8) to base 12" }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "How many minutes are there in 34148.35 hours?" }, { "from": "gpt", "value": "2048901" } ]
[ { "from": "human", "value": "Let a(h) be the first derivative of 2 - h. Let c(b) = b + 2. Let u(d) = 5*a(d) + 2*c(d). Calculate u(1)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -4*w - 3*v = 5, w - v + 14 = -6*v. Which is the closest to 3? (a) w (b) 3 (c) 2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let s = 0.115 + -0.216. Let k = 0.501 + s. What is the second smallest value in 1, 0.3, k, 3?" }, { "from": "gpt", "value": "k" } ]
[ { "from": "human", "value": "Find the third derivative of 348*f**5 - f**4 - 2*f**3 + 25*f**2 + 2." }, { "from": "gpt", "value": "20880*f**2 - 24*f - 12" } ]
[ { "from": "human", "value": "What is the w'th term of 4399, 4401, 4405, 4411?" }, { "from": "gpt", "value": "w**2 - w + 4399" } ]
[ { "from": "human", "value": "What is the second derivative of 4*t**5 + 5*t**5 + 4*t**5 - 7*t**5 + 9*t wrt t?" }, { "from": "gpt", "value": "120*t**3" } ]
[ { "from": "human", "value": "Collect the terms in 5*x**2 + 21*x - 21*x - 10*x**2." }, { "from": "gpt", "value": "-5*x**2" } ]
[ { "from": "human", "value": "Calculate (9 - (-30 - -19)) + 6." }, { "from": "gpt", "value": "26" } ]
[ { "from": "human", "value": "What is next in 249, 248, 247, 246, 245?" }, { "from": "gpt", "value": "244" } ]
[ { "from": "human", "value": "What is the third biggest value in -238, -3/4, -5, -2/5?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the fifth root of 2775 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the thousands digit of 1383?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is the closest to -0.1? (a) 1/2 (b) -1/3 (c) 4/15" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Sort 7, -2803, 0." }, { "from": "gpt", "value": "-2803, 0, 7" } ]
[ { "from": "human", "value": "Find the third derivative of -65*t*z**4 - 18*t*z**3 - 2*t*z**2 + 76*t*z - 5*t - z**2 wrt z." }, { "from": "gpt", "value": "-1560*t*z - 108*t" } ]
[ { "from": "human", "value": "What comes next: 16, 33, 56, 85, 120?" }, { "from": "gpt", "value": "161" } ]
[ { "from": "human", "value": "Let a = 31 + 1. Let i = 0 + 4. Calculate the highest common divisor of i and a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let c(k) be the third derivative of 0*k - 1/80*k**6 + 0 + 0*k**4 + 0*k**5 + 1/448*k**8 + 18*k**2 + 1/280*k**7 + 0*k**3. Factor c(w)." }, { "from": "gpt", "value": "3*w**3*(w - 1)*(w + 2)/4" } ]
[ { "from": "human", "value": "Suppose 42 = 6*l + 8*l. Solve l*w = -6, 2*j + 3*w = -w for j." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate -1 + 9/1 + (-17 - -15)." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "List the prime factors of 25053." }, { "from": "gpt", "value": "3, 7, 1193" } ]
[ { "from": "human", "value": "Simplify -6*(sqrt(2299)*-1)**2 - (2 + (sqrt(1216) - (-1*sqrt(1216))**2))." }, { "from": "gpt", "value": "-12580 - 8*sqrt(19)" } ]
[ { "from": "human", "value": "Let u(z) = 11*z + 1. Let b be u(1). Let p = b + 191. Is p prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 13 = -3*j + 4. Let w = 2 - 2. Let f be (-1 + w)*(-1 + 2). Sort 0, f, j." }, { "from": "gpt", "value": "j, f, 0" } ]
[ { "from": "human", "value": "Factor -u**5/3 - 655*u**4 - 514830*u**3 - 202328190*u**2 - 39757489335*u - 3124938661731." }, { "from": "gpt", "value": "-(u + 393)**5/3" } ]
[ { "from": "human", "value": "What is -2 + (3 - 9) + 4 + 5?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 76098.97 weeks in nanoseconds?" }, { "from": "gpt", "value": "46024657056000000000" } ]
[ { "from": "human", "value": "In base 16, what is 6 - -2?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let u(z) = z**2 - 3*z - 3. Suppose -5 = 3*c - 20. Let a be u(c). Suppose a*v - 25 = 2*v. Solve -7 = -v*i - 2 for i." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Divide -40 by -1." }, { "from": "gpt", "value": "40" } ]