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[ { "from": "human", "value": "What is 8 divided by 21?" }, { "from": "gpt", "value": "8/21" } ]
[ { "from": "human", "value": "Suppose 0 = -2*l + 4*g + 490, 0 = -l - g - 0*g + 254. Is l prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -3 = i - 8. Sort i, 3, 0." }, { "from": "gpt", "value": "0, 3, i" } ]
[ { "from": "human", "value": "Solve -5*k - 3*t + 32 = 0, -k = 2*k - 2*t - 4 for k." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -y + 44 = 4. Calculate the greatest common divisor of 10 and y." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Solve 4*j = 2*j - 10 for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the value of -6 + (2 - 4) - -5?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let p(b) = b**3 - 6*b**2 + 2*b - 6. Let y be p(6). Suppose 0 = 4*w - w + s - 6, 3*s = -3*w + y. Solve -3*g = w*g + 20 for g." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "In base 6, what is 4 - -1442?" }, { "from": "gpt", "value": "1450" } ]
[ { "from": "human", "value": "What is the third derivative of -w**5 - 8*w**4 + 286*w**2?" }, { "from": "gpt", "value": "-60*w**2 - 192*w" } ]
[ { "from": "human", "value": "Which is the closest to -3? (a) -4 (b) 0.3 (c) 3/34" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let t = 159 - 157. Let l(m) = 12*m**3 - 3*m**2 + 3*m. What is the tens digit of l(t)?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the q'th term of 94, 110, 128, 142, 146?" }, { "from": "gpt", "value": "-q**3 + 7*q**2 + 2*q + 86" } ]
[ { "from": "human", "value": "What is next in 97, 193, 285, 373, 457?" }, { "from": "gpt", "value": "537" } ]
[ { "from": "human", "value": "Let x be 0 + 1 + (6 - 3) + -2. Solve -7*a = -x*a + 15 for a." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 543 minutes after 6:46 AM?" }, { "from": "gpt", "value": "3:49 PM" } ]
[ { "from": "human", "value": "What is a in a**3/9 + 220*a**2/3 + 13801*a + 548910 = 0?" }, { "from": "gpt", "value": "-321, -285, -54" } ]
[ { "from": "human", "value": "Let n(q) = 6 - q. Let s be n(3). Suppose c + 0*c - s*l - 7 = 0, c - 5*l = 9. Sort -3, c, 5 in descending order." }, { "from": "gpt", "value": "5, c, -3" } ]
[ { "from": "human", "value": "Suppose 5*g = g - 12. Let q = -1 - g. Find the second derivative of -q*l**3 - 4*l + 2*l + 0*l wrt l." }, { "from": "gpt", "value": "-12*l" } ]
[ { "from": "human", "value": "Sort 0.5, 3/56, -0.3." }, { "from": "gpt", "value": "-0.3, 3/56, 0.5" } ]
[ { "from": "human", "value": "Let n(p) = p + 1. Let w be 5/((-12)/(-8) - -1). Let f be n(w). Suppose 0*o + 2*o + f*u - 155 = 0, -4*u = 2*o - 152. List the prime factors of o." }, { "from": "gpt", "value": "2, 41" } ]
[ { "from": "human", "value": "What is -4 (base 13) in base 9?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "In base 15, what is 64 + 1?" }, { "from": "gpt", "value": "65" } ]
[ { "from": "human", "value": "What is ((-2)/21)/(224/392)?" }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Work out 69 * -6." }, { "from": "gpt", "value": "-414" } ]
[ { "from": "human", "value": "Let j = -0.83 - -0.03. Let h = j + 0.824. Let r = 0 - h. Round r to 2 dps." }, { "from": "gpt", "value": "-0.02" } ]
[ { "from": "human", "value": "Evaluate ((-36)/(-30))/((-6)/15)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "0.2 + -1.7612" }, { "from": "gpt", "value": "-1.5612" } ]
[ { "from": "human", "value": "Let l(i) = -i**2 + 2*i + 3. Let u be l(0). Solve 2*x + u*x - 14 = -2*v, -x + 7 = -v for x." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate -0.1*0.0552." }, { "from": "gpt", "value": "-0.00552" } ]
[ { "from": "human", "value": "Let j(s) = -28 + 2*s + 28 + s**2. Let y be j(-3). Solve g - 2 = -2*t + 1, -5*g = -y*t + 11 for g." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 9039 and 276." }, { "from": "gpt", "value": "36156" } ]
[ { "from": "human", "value": "Solve -5 = -2*s - 5*v, -8*s + 3*v - 3 = -6*s for s." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Sort -0.03, -2/77, -0.1, 7." }, { "from": "gpt", "value": "-0.1, -0.03, -2/77, 7" } ]
[ { "from": "human", "value": "Evaluate (436/120 - -2) + (27 - (-4368)/(-160))." }, { "from": "gpt", "value": "16/3" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 8/13 (b) -13 (c) -430 (d) 0.5 (e) 86" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Solve 4*o**2 + 8*o + 4 = 0." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose 3*l = n - 34, -88*l - 3*n + 32 = -90*l. Let r = 2 - 3. Which is the second smallest value? (a) -0.1 (b) l (c) r" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let o(d) be the second derivative of d**9/5040 - d**8/2240 - d**4/3 + d. Let r(n) be the third derivative of o(n). Find x such that r(x) = 0." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Let c = -22 - -32. Let m(p) = -p**3 - p**2 - p + 120. Let f be m(0). Suppose 0*k - 3*k = -f. Calculate the greatest common divisor of k and c." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is 216 (base 8) in base 7?" }, { "from": "gpt", "value": "262" } ]
[ { "from": "human", "value": "Factor 204*s**2 + 258050*s - 12650." }, { "from": "gpt", "value": "2*(s + 1265)*(102*s - 5)" } ]
[ { "from": "human", "value": "Which is the closest to -3? (a) 0.1 (b) -4 (c) -10" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -3*u + 16 = -4*p, 2*u = -p + 2 + 5. Suppose -2*z - 2 = -u. Find the first derivative of -2*w - 3 - z + 3 wrt w." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Differentiate 1220*n**3 + 134*n**3 + 1288 + 77 + 589 wrt n." }, { "from": "gpt", "value": "4062*n**2" } ]
[ { "from": "human", "value": "Which is the nearest to 2/5? (a) -7 (b) 3 (c) 2/11 (d) 2/5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is (19/((-171)/(-36)))/1?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate 4/(-2) + 4/(-2)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose 2*b + 5*g = -0*b - 2, -4*g = b + 4. Solve 0 = 6*d - b*d for d." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Sort 0.5, -0.05, 4/5 in descending order." }, { "from": "gpt", "value": "4/5, 0.5, -0.05" } ]
[ { "from": "human", "value": "Let z be (6/(-4))/((-5)/30). Solve -2*x + 5 = 5*t - 16, 3*x + 3*t - z = 0 for x." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 84.78471 meters in kilometers?" }, { "from": "gpt", "value": "0.08478471" } ]
[ { "from": "human", "value": "What is v in -4*v**3 - 232*v**2 - 2560*v + 24576 = 0?" }, { "from": "gpt", "value": "-32, 6" } ]
[ { "from": "human", "value": "Let c(h) = 332*h**3 - h**2 + 4*h - 4. Is c(1) a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Simplify ((sqrt(833) - (sqrt(833) - (sqrt(833) + 0)))*5)**2." }, { "from": "gpt", "value": "20825" } ]
[ { "from": "human", "value": "Let m = -40 + 1. Let d = 58 + m. What is the remainder when d is divided by 11?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose 6 = 3*b - 0. Let a be -1 + 3 + 0 + b. Solve a*x - 2 = 2 for x." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let y(x) be the second derivative of x**7/210 - 2*x**6/45 + x**5/10 + 2*x**3/3 + 8*x. Let g(m) be the second derivative of y(m). Factor g(r)." }, { "from": "gpt", "value": "4*r*(r - 3)*(r - 1)" } ]
[ { "from": "human", "value": "What is the remainder when 48 is divided by 22?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify q**(-5/2)*q/(q/(((q**6*q)/q*q)/q))*q**5*q*q**(3/7) assuming q is positive." }, { "from": "gpt", "value": "q**(139/14)" } ]
[ { "from": "human", "value": "In base 15, what is -1b1 - -c?" }, { "from": "gpt", "value": "-1a4" } ]
[ { "from": "human", "value": "Suppose 10*d - 21 + 1 = 0. Solve 2*g - 3*w - 9 = 1, d*g = -2*w - 10 for g." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose -g - 4*b + 11 = 0, 25 = 4*g + b - 34. Suppose 3*f = 5*p - 302, 178 = 5*p - 2*p - f. Calculate the remainder when p is divided by g." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Solve 5*t - 3 = 3*b - 13, 3*b - 3*t = 0 for b." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let v(b) = 2*b**2 + 7*b - 3. Determine v(-4)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 4*o + s = -3, 2*s + 1 = 3 for o." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the closest to 4 in 2/15, -2/17, 3, -1/8?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "7 + -11 + 5 + 7" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "(-3 - (-1 - 3)) + (1 - 1)" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -10 = 5*o - 0*o. Is o bigger than -5/6?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Rearrange ((6 - 1 - 4)*(4 - 6 + 1) + 5 - 2 - 4)*(13*f**2 - f**2 - 5*f**2) to r*f**2 + h*f + j and give r." }, { "from": "gpt", "value": "-14" } ]
[ { "from": "human", "value": "How many minutes are there between 8:28 AM and 7:33 PM?" }, { "from": "gpt", "value": "665" } ]
[ { "from": "human", "value": "Is 775561 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 1117 and 3." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 404 divided by 2?" }, { "from": "gpt", "value": "202" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 5 and (14 - 4) + 7 + -6." }, { "from": "gpt", "value": "55" } ]
[ { "from": "human", "value": "What is -7410 divided by -114?" }, { "from": "gpt", "value": "65" } ]
[ { "from": "human", "value": "Subtract -96977 from -0.4." }, { "from": "gpt", "value": "96976.6" } ]
[ { "from": "human", "value": "What is the next term in -92, -80, -78, -92, -128?" }, { "from": "gpt", "value": "-192" } ]
[ { "from": "human", "value": "Let t(g) = g. Let q(w) = 5*w - 3. Suppose -1 = -5*s + 3*o + 4, -s = 2*o - 1. Let c(u) = s*q(u) - 4*t(u). Differentiate c(k) with respect to k." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -g = -4*g + 18. Let k = -1 + g. Suppose -4*t + 106 = k*v - 8, -60 = -2*t - 4*v. Solve -u - w = 7, 5*w = 4*u - 6*u - t for u." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "-10 (base 4) to base 13" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Put together 5 and 0.09012." }, { "from": "gpt", "value": "5.09012" } ]
[ { "from": "human", "value": "Let c(z) be the first derivative of -z**2/2 - 2. Let w be c(-2). Solve -w*x + 0 = 6 for x." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Expand (o**3 - 2*o**3 + 3*o**3)*(-o + 2*o + 0*o) + 4 - o**4 - 4." }, { "from": "gpt", "value": "o**4" } ]
[ { "from": "human", "value": "Let l(d) = 11*d**2 - 11*d - 13. Let x(f) = -5*f**2 + 5*f + 6. Let w(o) = 6*l(o) + 13*x(o). Let u be w(-4). Let b be (-1)/(-1 + -1)*u. Solve b - 4 = 3*j for j." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let k(t) be the first derivative of t**5/4 - 5*t**4/2 + 20*t**3/3 + 31. Factor k(h)." }, { "from": "gpt", "value": "5*h**2*(h - 4)**2/4" } ]
[ { "from": "human", "value": "Let m = 2 - -2. Suppose -3*w - m*b + 28 = -2*b, -40 = -5*w - 2*b. Suppose -i + w = i. Solve 0 = 3*z - 3*j + 6, i*z + 0*z + j - 2 = 0 for z." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "In base 7, what is 230 + -4?" }, { "from": "gpt", "value": "223" } ]
[ { "from": "human", "value": "3 (base 15) to base 6" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate 6 divided by 155." }, { "from": "gpt", "value": "6/155" } ]
[ { "from": "human", "value": "Divide -595 by -1." }, { "from": "gpt", "value": "595" } ]
[ { "from": "human", "value": "Simplify (sqrt(21)/sqrt(112))**2 + (sqrt(3) - (sqrt(3) - (1*sqrt(3) + 5)))." }, { "from": "gpt", "value": "sqrt(3) + 83/16" } ]
[ { "from": "human", "value": "Let t be 9/(9/(-3) - -2). Let m = -43/5 - t. Let q = -13 - -8. What is the nearest to m in -2, -4, q?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 6, what is 10 - -151?" }, { "from": "gpt", "value": "201" } ]
[ { "from": "human", "value": "What is 111 (base 2) in base 15?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "How many minutes are there between 6:45 PM and 1:31 AM?" }, { "from": "gpt", "value": "406" } ]
[ { "from": "human", "value": "What is -2a (base 16) in base 12?" }, { "from": "gpt", "value": "-36" } ]
[ { "from": "human", "value": "Solve 2*p - 17 = -0*h - 3*h, -3*p + 13 = 2*h for p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Find the second derivative of 2590*u**2 - 7908*u." }, { "from": "gpt", "value": "5180" } ]