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[ { "from": "human", "value": "Convert 36 (base 9) to base 13." }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Let k(y) be the third derivative of y**7/1260 + y**4/12 - 4*y**2. Let j(q) be the second derivative of k(q). Factor j(l)." }, { "from": "gpt", "value": "2*l**2" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 16766 and 166?" }, { "from": "gpt", "value": "166" } ]
[ { "from": "human", "value": "Which is bigger: -282 or -283?" }, { "from": "gpt", "value": "-282" } ]
[ { "from": "human", "value": "Suppose 3*q = -2*n + 5, 3*q - 17 = -0*q + 4*n. Let r be 3*2/12*12/(-2). Let y = r + q. Is y at most 1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the tens digit of 3635?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 2*w + 3*w = -5*o, w = o + 10 for w." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let g be 1 + 1 + (0 - -1). Let o be (2 - 32/14)/(-11 - -10). What is the smallest value in -2/3, o, g?" }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "Calculate 4/(32/4)*8/24." }, { "from": "gpt", "value": "1/6" } ]
[ { "from": "human", "value": "What is -1 take away -1.77?" }, { "from": "gpt", "value": "0.77" } ]
[ { "from": "human", "value": "Round 0.0000045 to five dps." }, { "from": "gpt", "value": "0.0" } ]
[ { "from": "human", "value": "Simplify sqrt(56)/sqrt(2) + sqrt(7) + (sqrt(847)*-3)**2." }, { "from": "gpt", "value": "3*sqrt(7) + 7623" } ]
[ { "from": "human", "value": "Calculate ((-5)/(-90))/((-35)/(-20) - 2)." }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "What is the p'th term of -9547, -9535, -9507, -9457, -9379?" }, { "from": "gpt", "value": "p**3 + 2*p**2 - p - 9549" } ]
[ { "from": "human", "value": "Let n(w) = -w**3 - 9*w**2 - 8*w + 7. Let h be n(-8). Let d(s) = s**2 - 8*s + 11. What are the prime factors of d(h)?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Which is bigger: -1 or 1/262?" }, { "from": "gpt", "value": "1/262" } ]
[ { "from": "human", "value": "What is (-3)/((-2)/(-3) + (-53)/12)?" }, { "from": "gpt", "value": "4/5" } ]
[ { "from": "human", "value": "Simplify sqrt(5) + 2 + 5 + -2." }, { "from": "gpt", "value": "sqrt(5) + 5" } ]
[ { "from": "human", "value": "Let y(d) = 3*d**3 - 2*d**2 + 5*d - 4. Let r be y(3). What are the prime factors of (-5)/(-10) - r/(-4)?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Suppose 0 = -2*s + s + 2. Let b(d) = -d**2 - 2*d + 2. Let z(v) = v**2 + v - 1. Determine s*z(y) + b(y)." }, { "from": "gpt", "value": "y**2" } ]
[ { "from": "human", "value": "-234 divided by 78" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Is 18455 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let k(w) = 21 - w. Let t be k(20). Which is the nearest to -1? (a) t (b) -9 (c) 2/17" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 70 (base 9) in base 13?" }, { "from": "gpt", "value": "4b" } ]
[ { "from": "human", "value": "Let x = -0.13 + 0.05. Let p = 5.08 + x. Suppose 0 = u - 55 + 58. Put p, 2, u in ascending order." }, { "from": "gpt", "value": "u, 2, p" } ]
[ { "from": "human", "value": "What is -219 minus -0.25?" }, { "from": "gpt", "value": "-218.75" } ]
[ { "from": "human", "value": "Divide 2784 by 696." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Collect the terms in -2*s**3 - s + 0*s**3 - 4*s + 9*s." }, { "from": "gpt", "value": "-2*s**3 + 4*s" } ]
[ { "from": "human", "value": "12 - (9 - (7 - -6) - -6)" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Calculate 162 + -624." }, { "from": "gpt", "value": "-462" } ]
[ { "from": "human", "value": "What is 63 minutes after 10:55 AM?" }, { "from": "gpt", "value": "11:58 AM" } ]
[ { "from": "human", "value": "Suppose 4*f = y + 2 + 15, 0 = -y + 5*f - 22. Let u be -1 - (16/14)/(-1). Which is the second smallest value? (a) u (b) y (c) 0.2" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Is 4561 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "2536 divided by -317" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Factor -f**5/5 + 6*f**4/5 - 12*f**3/5 + 2*f**2 - 3*f/5." }, { "from": "gpt", "value": "-f*(f - 3)*(f - 1)**3/5" } ]
[ { "from": "human", "value": "688+-0.789" }, { "from": "gpt", "value": "687.211" } ]
[ { "from": "human", "value": "Collect the terms in 4*i**3 - 10*i**3 + 9*i**3 + 0*i**3." }, { "from": "gpt", "value": "3*i**3" } ]
[ { "from": "human", "value": "What is the third biggest value in -1.6, -373, 2, 0.7, -1?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let b(x) be the third derivative of 2*x**7/105 - 7*x**4/24 - 4*x**2. Find the second derivative of b(z) wrt z." }, { "from": "gpt", "value": "48*z**2" } ]
[ { "from": "human", "value": "What is 120 minutes before 5:31 AM?" }, { "from": "gpt", "value": "3:31 AM" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 296 and 176." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Solve 0 = 5*s, 0 = -5*g + s + 24 + 1 for g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Put together -423329 and 4." }, { "from": "gpt", "value": "-423325" } ]
[ { "from": "human", "value": "Let w = -137 + 545/4. What is the nearest to -2/7 in -0.5, -0.3, w?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "Let j(c) = -11*c**2 - 1 + 14 + 8*c**3 - 9*c**3 - 2*c. Let z be j(-11). Solve -2*r + z = 5*s, 4*s - 10 = 2*r - 0*s for r." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the least common multiple of 8072 and 8?" }, { "from": "gpt", "value": "8072" } ]
[ { "from": "human", "value": "Let h be (7*5/(-5))/(-1). Solve -2*b + h*b = 0 for b." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Which is the fourth smallest value? (a) -5 (b) 2/9 (c) 9/4 (d) -3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "42/30*40/(-140)" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Suppose -13*j + 19 = -12*j. What is the remainder when j is divided by 5?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 4 = -4*s + 16. Solve -7 = -q - q + s*l, l = -5 for q." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Find d, given that -5*d**5 + 5*d**4 + 15*d**3 - 5*d**2 - 10*d = 0." }, { "from": "gpt", "value": "-1, 0, 1, 2" } ]
[ { "from": "human", "value": "What is the p'th term of 2571, 5144, 7717, 10290, 12863, 15436?" }, { "from": "gpt", "value": "2573*p - 2" } ]
[ { "from": "human", "value": "What is next in 139, 101, 39, -53, -181, -351, -569?" }, { "from": "gpt", "value": "-841" } ]
[ { "from": "human", "value": "Is -265 less than or equal to -264?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What comes next: 32, 67, 102, 137, 172, 207?" }, { "from": "gpt", "value": "242" } ]
[ { "from": "human", "value": "What is 424 minutes after 11:23 PM?" }, { "from": "gpt", "value": "6:27 AM" } ]
[ { "from": "human", "value": "What is 1090 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Find the third derivative of h*t**5 + 66*h*t**2 - 8*h*t + t**5 + 578*t**4 + 2*t**2 wrt t." }, { "from": "gpt", "value": "60*h*t**2 + 60*t**2 + 13872*t" } ]
[ { "from": "human", "value": "Convert -1 (base 7) to base 15." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Sum 316 and -8." }, { "from": "gpt", "value": "308" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) -1 (b) -78 (c) 6" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the hundreds digit of 1018?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the first derivative of -12 + 73*g**4 - 23*g + 23*g wrt g?" }, { "from": "gpt", "value": "292*g**3" } ]
[ { "from": "human", "value": "Let l = 13 + 3. Let n be (l/10 + -2)*-10. Suppose 0 = z + 3*f - 7*f + 12, 3*z = n*f - 4. Solve a - 6 = h, z*a - 3*h = 1 + 21 for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let a(t) = -t**2 + t + 4. Let n be a(0). Suppose 0*q = -n*q + 16. What is the remainder when 10 is divided by q/((-12)/9 + 2)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Divide -9 by -67." }, { "from": "gpt", "value": "9/67" } ]
[ { "from": "human", "value": "Suppose 6 = 5*v - 3*s, 9*s = -3*v + 4*s + 24. Let j(l) = -l**3 + 4*l**2 - 3*l + 4. Let q be j(v). Solve -3*u + 3 = 5*z, -4*u - 2 = -q*z - 6 for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the units digit of 108698385?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve -17*n - 16 = -13*n for n." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 55 and 660?" }, { "from": "gpt", "value": "660" } ]
[ { "from": "human", "value": "Let x be -1 + 46 + (1 - -2). Let a = -41 + 16. Let g = a + x. Calculate the remainder when g is divided by 8." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Convert 733.9057ml to litres." }, { "from": "gpt", "value": "0.7339057" } ]
[ { "from": "human", "value": "What is 2209 to the power of 1/7, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 9356 (b) -0.5 (c) 159/7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let m(o) be the third derivative of o**8/840 - o**6/180 + o**3/2 - 3*o**2. Let d(s) be the first derivative of m(s). Let d(k) = 0. Calculate k." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Factor -x**2 + 59*x - 58." }, { "from": "gpt", "value": "-(x - 58)*(x - 1)" } ]
[ { "from": "human", "value": "Let a(q) = 7*q**2 + 5*q - 6*q**2 + 7 - 1. Let x be a(-4). Solve -2*j = 8 + x for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose -17 + 27 = -5*v. Let h = v - -14. What is the greatest common factor of 12 and h?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is 0.1181 times -0.5?" }, { "from": "gpt", "value": "-0.05905" } ]
[ { "from": "human", "value": "What is the closest to 1/2 in 1/11, 1/9, -4, -5/4?" }, { "from": "gpt", "value": "1/9" } ]
[ { "from": "human", "value": "What is the k'th term of -6877, -6893, -6921, -6967, -7037?" }, { "from": "gpt", "value": "-k**3 - 9*k - 6867" } ]
[ { "from": "human", "value": "Find the common denominator of -137/42 and 9/14." }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "What is next in 48, 338, 1132, 2682, 5240?" }, { "from": "gpt", "value": "9058" } ]
[ { "from": "human", "value": "What is the next term in 222, 237, 262, 297?" }, { "from": "gpt", "value": "342" } ]
[ { "from": "human", "value": "Factor -15*g**2 + 1925*g." }, { "from": "gpt", "value": "-5*g*(3*g - 385)" } ]
[ { "from": "human", "value": "Sort 4/11, 0.034, -2/3, -0.2, -1/2 in increasing order." }, { "from": "gpt", "value": "-2/3, -1/2, -0.2, 0.034, 4/11" } ]
[ { "from": "human", "value": "What is the cube root of 29387007 to the nearest integer?" }, { "from": "gpt", "value": "309" } ]
[ { "from": "human", "value": "What is 10668 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "164 divided by 82" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Does 12 divide 6546?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 4*g + g = 4*s, -3*s = -g - 11. Suppose -3*u = u. Solve 5*m = -u*m - s for m." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is (-1)/(4/10*12/24)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Find l, given that 2*l**4/3 + 1568*l**3/3 + 302588*l**2/3 - 619360*l + 936150 = 0." }, { "from": "gpt", "value": "-395, 3" } ]
[ { "from": "human", "value": "What is -10.662 minus 64?" }, { "from": "gpt", "value": "-74.662" } ]
[ { "from": "human", "value": "Collect the terms in 13612*m - 24990*m - 3282*m - 27410*m - 2." }, { "from": "gpt", "value": "-42070*m - 2" } ]
[ { "from": "human", "value": "Which is smaller: -3 or 375?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let f(h) be the second derivative of 3*h**5 - 2*h**3/3 - 2*h**2 + 28*h. Let m be f(-1). What are the prime factors of (m/42 - -2) + (-34)/(-14)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 0 = 3*x - 4 - 5. Suppose x*t + 15 - 51 = 0. Let f(p) = 12*p**2 + p. What is the remainder when f(-2) is divided by t?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Is 2957 a multiple of 12?" }, { "from": "gpt", "value": "False" } ]