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[ { "from": "human", "value": "Convert 15 (base 8) to base 3." }, { "from": "gpt", "value": "111" } ]
[ { "from": "human", "value": "Suppose 2*f**3 - 336*f**2 = 0. What is f?" }, { "from": "gpt", "value": "0, 168" } ]
[ { "from": "human", "value": "Suppose -40 = -3*m + 5*a, 0 = a - 5*a - 20. Let n(z) = 2*z**2 - 6*z - 6. Is 14 a factor of n(m)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Divide -1137 by 5." }, { "from": "gpt", "value": "-1137/5" } ]
[ { "from": "human", "value": "Is 432 a multiple of 16?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 2*c = -l - 3 + 13, -3*c + 5*l = -2. Solve -6 = 4*s - c*z + 6, 2*s = z - 8 for s." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 24 + 8 = 2*q. Solve -q = -4*j - 5*k + 3*k, 4*j - 4*k - 4 = 0 for j." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the closest to 452 in -0.3, -0.6, 4?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let x(q) = q**3 + 14 + 11*q - 7*q + q**2 - 8*q**2. Let i be x(6). Solve -i*k + 15 - 40 = -5*a, 20 = 2*k + 4*a for k." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is -8 + (-3 - (-8 - 1)) + -3?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Factor 9*p**3 + 561*p**2 - 1548*p + 780." }, { "from": "gpt", "value": "3*(p - 2)*(p + 65)*(3*p - 2)" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 26 and 7072." }, { "from": "gpt", "value": "7072" } ]
[ { "from": "human", "value": "What comes next: -574, -570, -566, -562, -558, -554?" }, { "from": "gpt", "value": "-550" } ]
[ { "from": "human", "value": "What is next in 16003, 63122, 141643, 251566, 392891, 565618, 769747?" }, { "from": "gpt", "value": "1005278" } ]
[ { "from": "human", "value": "Let l(f) = 3 - f. Let t be l(0). Suppose 0 = -4*x - 2*w - 10, 2*x + 8 = -t*w - w. Let c(u) = -u - 1. Let b be c(x). Solve z + b - 4 = 0 for z." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 2, what is 100110 + -100101?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let c = 1 + -8. Let p(f) = f**2 + 6*f + 10. Let a be p(c). Is 1 - (2 - (a - 3)) a multiple of 5?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let z(h) = 3*h**3 + h**2 + 3*h - 7. Is 15 a factor of z(3)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let v(k) be the first derivative of 10*k**7/7 - 7*k**3/3 - 2. Find the third derivative of v(u) wrt u." }, { "from": "gpt", "value": "1200*u**3" } ]
[ { "from": "human", "value": "What is 2 plus 15.413?" }, { "from": "gpt", "value": "17.413" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -3/2 (b) -0.2 (c) 7/5 (d) 1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 4*v = 7*v + 3*v for v." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let i be (-9)/(-5)*(-50)/10. Which is smaller: i or -1?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "What is 450 divided by 3?" }, { "from": "gpt", "value": "150" } ]
[ { "from": "human", "value": "What is 465 divided by 31?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "In base 16, what is -3 - -5b9?" }, { "from": "gpt", "value": "5b6" } ]
[ { "from": "human", "value": "Let o(c) = c + 13. Let d be o(-9). Solve d*j = -4, 3*u - 5*j = 4*u for u." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Sort -3/4, 9/2, 0.08 in descending order." }, { "from": "gpt", "value": "9/2, 0.08, -3/4" } ]
[ { "from": "human", "value": "Let q = -75.2 + 68. Let r = 7 + q. Let m = r - 0.8. Which is smaller: m or 5?" }, { "from": "gpt", "value": "m" } ]
[ { "from": "human", "value": "Solve -2*w = -2*c - w - 13, 0 = -2*c - 2*w + 2 for c." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let m(h) = h**3 - 21*h**2 + 52*h + 44. Determine m(18)." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the value of 32/(-18)*5/20?" }, { "from": "gpt", "value": "-4/9" } ]
[ { "from": "human", "value": "What is 9/(-6)*12/18?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let o = -8 - -7.5. Let n = 0 - o. Which is the second biggest value? (a) -2/5 (b) 5 (c) n" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let n(s) = 3 - s. Let p(h) = -h**3 + 10*h**2 - 9*h - 8. Let b be p(9). Let c be (b/(-6) + -2)*3. Let w be n(c). Solve -j + 2 = -5*z - 3, -w*j - z = -25 for j." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "(-14)/(-12) - 1591/1806" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Let g(o) = 91*o**2 + 3*o - 1. Is g(-3) composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose 4*r = r + 3*o + 12, 2*r - o = 6. Suppose -r*m - 1 = 7. Let b be -12*(m/3)/2. Solve 4*u + b = 2*u for u." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Simplify (2*sqrt(1053))**2 + 5." }, { "from": "gpt", "value": "4217" } ]
[ { "from": "human", "value": "What comes next: 648, 648, 646, 642, 636, 628?" }, { "from": "gpt", "value": "618" } ]
[ { "from": "human", "value": "Product of -6956 and 0.3." }, { "from": "gpt", "value": "-2086.8" } ]
[ { "from": "human", "value": "Suppose s**2/7 - 2*s/7 - 8/7 = 0. Calculate s." }, { "from": "gpt", "value": "-2, 4" } ]
[ { "from": "human", "value": "Suppose 0 = 4*n - 7 - 33. Solve 5 = 3*x + r, -n = -4*x - 4*r + r for x." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 8, what is -271 + 105?" }, { "from": "gpt", "value": "-164" } ]
[ { "from": "human", "value": "Calculate 8*0." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the third smallest value in 1/7, -2/11, 500, 0.1, 3/4?" }, { "from": "gpt", "value": "1/7" } ]
[ { "from": "human", "value": "What is the value of 3 + -7 + -2 + (-11 - -13)?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the value of 3/(-6) - 2/(-4)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "-0.4+0.03342" }, { "from": "gpt", "value": "-0.36658" } ]
[ { "from": "human", "value": "What is v in 2*v**5/7 - 4*v**4/7 - 2*v**3/7 + 4*v**2/7 = 0?" }, { "from": "gpt", "value": "-1, 0, 1, 2" } ]
[ { "from": "human", "value": "Let k be 19 - 16 - -6*2/(-4). Solve k = -6*v + 2*v + 16 for v." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Which is greater: -528 or -531?" }, { "from": "gpt", "value": "-528" } ]
[ { "from": "human", "value": "Factor s**3 + 81*s**2 - 16*s - 1296." }, { "from": "gpt", "value": "(s - 4)*(s + 4)*(s + 81)" } ]
[ { "from": "human", "value": "Is 39027709507 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is -4 + 6 + (-3 - (-3 + -4)) + -18?" }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "Let y = 2/3 + -11/12. Which is the second biggest value? (a) 3 (b) 5 (c) y (d) 0.1" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Solve x**3 + 66*x**2 + 1452*x + 10648 = 0." }, { "from": "gpt", "value": "-22" } ]
[ { "from": "human", "value": "Work out 9650 * 649.5." }, { "from": "gpt", "value": "6267675" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -3/5 (b) 0.5 (c) 0.21 (d) -2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let p be (-60)/(-20) - 5/2. Suppose -4 = 3*x - 28. Let v be -2*1/x + 0. Which is the nearest to v? (a) 0.3 (b) p (c) 1/5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve 3*k + 6*f = 30, -12*f = k - 14*f + 6 for k." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 5*a = -51 + 56 for a." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify (sqrt(68)*-3*-3 + sqrt(68))/(sqrt(24)/sqrt(54)) - (-3 + (sqrt(68)/(3*sqrt(4)) - (sqrt(153)*-6 - sqrt(17))))." }, { "from": "gpt", "value": "3 + 32*sqrt(17)/3" } ]
[ { "from": "human", "value": "Suppose 0 = -5*x - 5*w + 10, -x - 5*w = -10*w - 14. Solve -3*r + x*r**3 + 5*r**3 + 0*r + 3*r**4 - 9*r = 0." }, { "from": "gpt", "value": "-2, 0, 1" } ]
[ { "from": "human", "value": "What is the nearest to 1 in -3/47, -4/3, 22/25?" }, { "from": "gpt", "value": "22/25" } ]
[ { "from": "human", "value": "What is the value of (-1*2/8)/((-90)/240)?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "What is the l'th term of 711, 1434, 2135, 2808, 3447, 4046, 4599?" }, { "from": "gpt", "value": "-l**3 - 5*l**2 + 745*l - 28" } ]
[ { "from": "human", "value": "What is 0.1178462 kilometers in millimeters?" }, { "from": "gpt", "value": "117846.2" } ]
[ { "from": "human", "value": "Let j = -1 + 0. Let h = -184 + 574/3. Let t = h + -15/2. Which is the closest to -1? (a) 1 (b) t (c) j" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve 49*z + 285 = 383 for z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let i = 5 - 1. Suppose 0 = 2*p - 0 - i. Suppose -p*m + 16 = 5*r, -2*m + 5*m - 7 = r. Solve -r*n = -5*c, 4*n + n = 2*c - 21 for n." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the a'th term of -36, -80, -126, -174, -224, -276?" }, { "from": "gpt", "value": "-a**2 - 41*a + 6" } ]
[ { "from": "human", "value": "Calculate 1 - -26844." }, { "from": "gpt", "value": "26845" } ]
[ { "from": "human", "value": "Solve 24*h - 5*h + 23*h + 420 = 0 for h." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "What is the value of (-16)/40 + (-2)/20 + 2?" }, { "from": "gpt", "value": "3/2" } ]
[ { "from": "human", "value": "Let l = 40.5 - 40. Which is the biggest value? (a) 0.3 (b) l (c) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the common denominator of 41/290 and 35/638?" }, { "from": "gpt", "value": "3190" } ]
[ { "from": "human", "value": "What is the next term in 105, 448, 1011, 1788, 2773, 3960, 5343, 6916?" }, { "from": "gpt", "value": "8673" } ]
[ { "from": "human", "value": "What is 680 minutes before 7:52 AM?" }, { "from": "gpt", "value": "8:32 PM" } ]
[ { "from": "human", "value": "Let j(g) = 2 - g. Let o be j(0). Suppose o = -6*a + 4*a. Let w = -382 + 387. What is the closest to a in 0, w, 0.5?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Simplify (4 + 5*(sqrt(343) + 2) - (-5 + -1 + sqrt(343) + sqrt(343))*6) + -3." }, { "from": "gpt", "value": "47 - 49*sqrt(7)" } ]
[ { "from": "human", "value": "Multiply -119 and 0.2." }, { "from": "gpt", "value": "-23.8" } ]
[ { "from": "human", "value": "How many kilograms are there in one quarter of a tonne?" }, { "from": "gpt", "value": "250" } ]
[ { "from": "human", "value": "Let f = -7 - -5. Let h(a) = -4*a**3 - a**2 + 2*a. Let q be h(f). Suppose z = -z + q. What are the prime factors of z?" }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "List the prime factors of 19988." }, { "from": "gpt", "value": "2, 19, 263" } ]
[ { "from": "human", "value": "Simplify r**(1/24)*r/(r*r**(-1/18)*r)*r**(1/6)*r**(-4/3)*r assuming r is positive." }, { "from": "gpt", "value": "r**(-77/72)" } ]
[ { "from": "human", "value": "Let q = -376/3 + 127. Which is the closest to 6? (a) q (b) 0.5 (c) 4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let t(k) = -16*k**3 + 10*k**2 + 25*k - 1. Let b(f) = 3*f**3 - 2*f**2 - 5*f. Give 11*b(q) + 2*t(q)." }, { "from": "gpt", "value": "q**3 - 2*q**2 - 5*q - 2" } ]
[ { "from": "human", "value": "Let z be 1 + (-15)/(0 + -3). Factor r**4 + 2*r**3 + 6*r**2 - 9*r + 0*r**2 - r**5 + z*r**2 - 5*r**4." }, { "from": "gpt", "value": "-r*(r - 1)**2*(r + 3)**2" } ]
[ { "from": "human", "value": "What is the third derivative of 724*p**6 - 2*p**2 - 18*p wrt p?" }, { "from": "gpt", "value": "86880*p**3" } ]
[ { "from": "human", "value": "How many micrometers are there in 3/40 of a meter?" }, { "from": "gpt", "value": "75000" } ]
[ { "from": "human", "value": "Let l be ((-6)/(-4))/((-66)/(-44)). Solve -w = -1 - l for w." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let g = 23 - 7. What are the prime factors of g?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 42.2369 litres in millilitres?" }, { "from": "gpt", "value": "42236.9" } ]
[ { "from": "human", "value": "Suppose -4*b - b = 3*v + 5, b + 29 = 5*v. Let t be (-6)/27 + 22/18. Suppose -3*m - z = -0*m - t, 0 = z + v. Is m a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the second derivative of -1871*g**2*p**3 + 7*g*p**3 + 8*p**3 + p wrt g?" }, { "from": "gpt", "value": "-3742*p**3" } ]
[ { "from": "human", "value": "Expand (-6 - 3*p + 3 + 4)*(-7 - 4 - 8)." }, { "from": "gpt", "value": "57*p - 19" } ]
[ { "from": "human", "value": "What is the value of (-12)/(-10)*(-20)/(-6)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the z'th term of 18, -2, -46, -126, -254, -442, -702, -1046?" }, { "from": "gpt", "value": "-2*z**3 - 6*z + 26" } ]
[ { "from": "human", "value": "What is the closest to -390 in 3/7, 4, 2?" }, { "from": "gpt", "value": "3/7" } ]