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[ { "from": "human", "value": "Let x(c) = 5. Let a(t) = t - 11. Let q(b) = -2*a(b) - 5*x(b). Differentiate q(d) wrt d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Expand 11*u - 3*u - 17*u + (u + 1 - 1)*(-4 + 5 - 3)." }, { "from": "gpt", "value": "-11*u" } ]
[ { "from": "human", "value": "Work out -1.5 - 0.430131." }, { "from": "gpt", "value": "-1.930131" } ]
[ { "from": "human", "value": "3 * -7" }, { "from": "gpt", "value": "-21" } ]
[ { "from": "human", "value": "Let u = 5 - 5. Suppose 33 = 2*c - u*t + 3*t, -3*t = c - 24. Calculate the greatest common factor of 9 and c." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the j'th term of -14, -128, -428, -1004, -1946, -3344, -5288, -7868?" }, { "from": "gpt", "value": "-15*j**3 - 3*j**2 + 4" } ]
[ { "from": "human", "value": "What is (-112)/(-32) + (-6)/(-4)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Simplify (-1*sqrt(190))/sqrt(10) + 2*(sqrt(19) - sqrt(304))**2 + -4." }, { "from": "gpt", "value": "338 - sqrt(19)" } ]
[ { "from": "human", "value": "Is -1 greater than or equal to 2/833?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 22 and 297." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let f(n) = -3*n**3 + 3*n**2 + 4*n + 2. Suppose 0*l - l = 2*w + 9, 2*w + 18 = -4*l. Let q be f(w). Calculate the greatest common factor of 14 and q." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "What is the highest common factor of 21029 and 1772621?" }, { "from": "gpt", "value": "1237" } ]
[ { "from": "human", "value": "What is the first derivative of 984 - 114*h**2?" }, { "from": "gpt", "value": "-228*h" } ]
[ { "from": "human", "value": "What is the x'th term of 572, 1143, 1712, 2279, 2844?" }, { "from": "gpt", "value": "-x**2 + 574*x - 1" } ]
[ { "from": "human", "value": "Is 250717 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Evaluate (225/(-180))/((-55)/(-8))." }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "Let r be 6/(-4) - 21/14. Calculate the remainder when r - (-7)/((-21)/(-54)) is divided by 9." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let l = -18 + 17.1. Let f = l + -0.1. Let o = 0.3 - -0.7. What is the biggest value in f, -3/5, o?" }, { "from": "gpt", "value": "o" } ]
[ { "from": "human", "value": "Suppose 3 + 5 = 2*h. Let f = h - 2. Factor -3*a - f - a**2 + 0 + 0." }, { "from": "gpt", "value": "-(a + 1)*(a + 2)" } ]
[ { "from": "human", "value": "Let a(c) = 5*c**2 - 3*c + 27. Let f(o) = -11*o**2 + 7*o - 55. Let i(r) = 7*a(r) + 3*f(r). What is the first derivative of i(k) wrt k?" }, { "from": "gpt", "value": "4*k" } ]
[ { "from": "human", "value": "Let d(z) = 7*z**2 - 2*z + 2. Let x(p) = 7*p**2 - 2*p + 3. Let j(h) = -3*d(h) + 2*x(h). What is the second derivative of j(m) wrt m?" }, { "from": "gpt", "value": "-14" } ]
[ { "from": "human", "value": "Suppose -4*n + 2*b - 5*b = -7, 5*b - 23 = -n. Let f be 6/(-36) - n/12. Solve f = -0*p - 4*p for p." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 23*h = 16*h + 28 for h." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let w = 0 - 0. Let d = 2 - -6. Let s be d/(-32) - 21/(-52). Which is bigger: w or s?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "Calculate 4 - 18596." }, { "from": "gpt", "value": "-18592" } ]
[ { "from": "human", "value": "In base 12, what is a6aa + 2?" }, { "from": "gpt", "value": "a6b0" } ]
[ { "from": "human", "value": "Let n = 0.11 + -5.11. Let l = 3 + -2.7. Suppose -5*t - 8 = -3*v + 9, -5*t - 3*v = 23. What is the nearest to 1 in n, l, t?" }, { "from": "gpt", "value": "l" } ]
[ { "from": "human", "value": "Let v(f) = -f - 1. Let a be v(-3). Suppose -2*p + a = -p. Suppose 0*q + n = 2*q - 6, p*q = -2*n. Solve 0 = s - q*s + 5 for s." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let k(x) = 1152 - 9472*x. Let t(q) = 15 - 123*q. Determine -5*k(l) + 384*t(l)." }, { "from": "gpt", "value": "128*l" } ]
[ { "from": "human", "value": "Calculate the remainder when 783 is divided by 226." }, { "from": "gpt", "value": "105" } ]
[ { "from": "human", "value": "What is the nearest to -0.1 in 4, -0.95, -1?" }, { "from": "gpt", "value": "-0.95" } ]
[ { "from": "human", "value": "What is the g'th term of 138, 111, 66, 3, -78?" }, { "from": "gpt", "value": "147 - 9*g**2" } ]
[ { "from": "human", "value": "Sort 6, 1, 36." }, { "from": "gpt", "value": "1, 6, 36" } ]
[ { "from": "human", "value": "What is -103 less than -2?" }, { "from": "gpt", "value": "101" } ]
[ { "from": "human", "value": "What is the value of -31 + 28 - (0 + 0 + -2)?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 92679 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "45" } ]
[ { "from": "human", "value": "Let l(p) be the third derivative of p**5/60 + 5*p**4/12 + 4*p**3/3 + 8*p**2. Suppose -5*h - 80 = 4*o, -5*h - 35 - 5 = -4*o. List the prime factors of l(h)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -2*j = 3*j - 30. Let f be (-2)/6*j/(-8). Solve -1/4*i**5 - 1/2*i + 3/4*i**3 - f*i**2 + 1/4*i**4 + 0 = 0." }, { "from": "gpt", "value": "-1, 0, 1, 2" } ]
[ { "from": "human", "value": "Round 0.0000007322 to 7 dps." }, { "from": "gpt", "value": "7e-07" } ]
[ { "from": "human", "value": "What is the remainder when 263 is divided by 12?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "In base 7, what is 3 - 1124?" }, { "from": "gpt", "value": "-1121" } ]
[ { "from": "human", "value": "Simplify 4 + sqrt(468) + (sqrt(468) + -2)**2." }, { "from": "gpt", "value": "476 - 18*sqrt(13)" } ]
[ { "from": "human", "value": "Solve 7*g - 2 + 23 = 0 for g." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let a(s) = s - 2. Let t be a(6). Determine r, given that -6 + t*r**2 - 2 - 2*r - 2*r = 0." }, { "from": "gpt", "value": "-1, 2" } ]
[ { "from": "human", "value": "Collect the terms in 10*t + 191906 - 191906." }, { "from": "gpt", "value": "10*t" } ]
[ { "from": "human", "value": "Let z be (-1)/2 + 2/1. Suppose p + 12 = -0*j + 3*j, -p = 4*j + 12. Let t = -58/5 - p. What is the nearest to t in -3, z, -0.3?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "What is 43/4 of a millennium in decades?" }, { "from": "gpt", "value": "1075" } ]
[ { "from": "human", "value": "How many minutes are there between 8:09 AM and 11:15 AM?" }, { "from": "gpt", "value": "186" } ]
[ { "from": "human", "value": "Solve -3*v = 2*k - 5, 4*v - 2*k = 3 + 13 for v." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 0 = -3*c - 6*a + 27, 5*c + a = 10*c - 23 for c." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let i be 22/2 - (-9)/(-3). Solve g - 3*g = i for g." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let o(p) = p - 3. Let b be 66/12 - 2/(-4). Suppose b*h = 2*h + 12. Determine o(h)." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 16118 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let d = 2/567 + 3022/567. Do 5 and d have different values?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is bigger: -1 or 10/43?" }, { "from": "gpt", "value": "10/43" } ]
[ { "from": "human", "value": "Let f be -1*(21/12 + -2). Let w be (-20)/8*(-12)/105. Which is the closest to w? (a) -1/2 (b) -5 (c) f" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What comes next: 6, 0, -8, -18, -30, -44, -60?" }, { "from": "gpt", "value": "-78" } ]
[ { "from": "human", "value": "Solve 25*y - 90 - 60 = 0 for y." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let w(p) = -p**3 + 4*p**2 + 4*p. Let x be w(5). Let c = 16 + x. What is the remainder when 30 is divided by c?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Calculate -330 divided by -15." }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "Let j = -201 - -301. Let x(m) = m**2 - 3*m - 2. Let u be x(-2). Suppose j = -4*q + u*q. Solve -4*l + 3*l + 4*i = -23, 0 = -5*i - q for l." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What are the prime factors of 63167?" }, { "from": "gpt", "value": "13, 43, 113" } ]
[ { "from": "human", "value": "What is the first derivative of 372 - 430*j**2 wrt j?" }, { "from": "gpt", "value": "-860*j" } ]
[ { "from": "human", "value": "Let r(s) = s**3 + 5*s**2 + s + 7. Let b(f) = 2*f**3 + 10*f**2 + 3*f + 13. Let t(x) = -4*b(x) + 7*r(x). What is t(-4)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve -3*n - 4 = -2*j, 2*n - 3*j = 13 - 24 for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the value of -6*10/((-280)/(-21))*2?" }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Solve 10 = -762*q + 767*q for q." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let f = 31 + -28. What is the third smallest value in f, -0.3, -1?" }, { "from": "gpt", "value": "f" } ]
[ { "from": "human", "value": "What is the value of (-18)/(-27) - (-2)/(-9)?" }, { "from": "gpt", "value": "4/9" } ]
[ { "from": "human", "value": "Simplify (sqrt(16)/sqrt(2))/sqrt(4) + sqrt(2)*2 + 4 + -5." }, { "from": "gpt", "value": "-1 + 3*sqrt(2)" } ]
[ { "from": "human", "value": "Convert -2 (base 5) to base 13." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 11, what is 232 + 1a?" }, { "from": "gpt", "value": "251" } ]
[ { "from": "human", "value": "Let s = -3.6 - -4. Let r be (-2)/(-6) - (-155)/(-15). Let a = r - -5. Sort s, -0.2, a in increasing order." }, { "from": "gpt", "value": "a, -0.2, s" } ]
[ { "from": "human", "value": "What is the fourth smallest value in 1/11, -0.62, -1/5, 0.1?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "Is 124 a factor of 2852?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the l'th term of -6879, -6883, -6889, -6897?" }, { "from": "gpt", "value": "-l**2 - l - 6877" } ]
[ { "from": "human", "value": "Suppose 0*r + 6 = r - 3*k, -r - 2*k = 4. Let l(n) be the third derivative of r - 2*n**2 + 1/24*n**4 - 1/120*n**5 + 0*n - 1/12*n**3. Let l(w) = 0. Calculate w." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify (sqrt(128) + 4)**2 + (sqrt(14)/((sqrt(168) - sqrt(42))/sqrt(6)))**2." }, { "from": "gpt", "value": "64*sqrt(2) + 146" } ]
[ { "from": "human", "value": "Suppose 8*i = 7*i + 3. Solve f - i = 1 for f." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 4*p = 2*p. Is p smaller than 1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 2 and 58?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let t(v) = 2*v + 23. Let s(m) = -m - 12. Let w(y) = -7*s(y) - 4*t(y). Let p be w(-11). Suppose -2*a + 6 = -6. Solve -5*g + a = -4*n, 8*n + 1 = p*n + 3*g for n." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the remainder when 7578 is divided by 5?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose -5*c + h = -15, -5*c + 30 = 2*h - 0. Let q(a) = a. Let p be q(5). Solve v = 3, 6 = -p*j - c*v + v for j." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is (7 - (-4 - -5) - 5) + -8?" }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "What is 137 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Simplify (5*(3 + sqrt(108) + -2*sqrt(108)*5))**2." }, { "from": "gpt", "value": "218925 - 8100*sqrt(3)" } ]
[ { "from": "human", "value": "What is the highest common factor of 21 and 5901?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Suppose 2*r + 3*g - 7 = 3*r, -5*r = -4*g + 2. Let x = 28 + -16. Suppose r*u + 5*t - 3 = x, 2*u + 5 = -t. What is the biggest value in -4, u, -3?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "-45 divided by -45" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 0.0000235 rounded to 5 decimal places?" }, { "from": "gpt", "value": "2e-05" } ]
[ { "from": "human", "value": "Find the second derivative of 17692*q**3 - 108*q**2 + q + 319195." }, { "from": "gpt", "value": "106152*q - 216" } ]
[ { "from": "human", "value": "Collect the terms in -352 + 352 + 18776*f**3 - 18778*f**3." }, { "from": "gpt", "value": "-2*f**3" } ]
[ { "from": "human", "value": "In base 14, what is -2 + -10?" }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "List the prime factors of 17372." }, { "from": "gpt", "value": "2, 43, 101" } ]
[ { "from": "human", "value": "Solve 8*u - 4*u - 24 = 2*r, 5*r = u - 15 for u." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let u(a) be the third derivative of 0*a - 21*a**2 + 0 - 1/6*a**4 - 1/3*a**3. Determine u(-1)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is -586.2 plus -19?" }, { "from": "gpt", "value": "-605.2" } ]
[ { "from": "human", "value": "Divide 18 by 3." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Do -1.4314 and 1/3 have different values?" }, { "from": "gpt", "value": "True" } ]