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[ { "from": "human", "value": "Simplify (-5 + 1 + sqrt(931) - -5*sqrt(931)*-2)**2." }, { "from": "gpt", "value": "504*sqrt(19) + 75427" } ]
[ { "from": "human", "value": "Solve 33*w = 16*w for w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Which is the closest to -1? (a) -2/23 (b) -3 (c) -1 (d) -0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose -5*h = 3*p - 34 - 9, -h + 13 = 5*p. Let v = h - 6. Which is the nearest to v? (a) -2/5 (b) -5 (c) 0.3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let q = -2 - -6. Suppose -q*a = -2*a + 2. Let h be (2 - 2) + a + 64. What is the highest common factor of 9 and h?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let n be 3/(-1)*8/(-6). Let x(i) = 2*i**2 - i + 1. Let w be x(1). Suppose 0 = -w*a - a + 15. Solve n*f = 16, -v + a*f - 24 = -2*v for v." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Which is the closest to 97? (a) 0.5 (b) -0.4 (c) -1/6" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Which is the nearest to 1.6? (a) 0.5 (b) 1/6 (c) -8 (d) -2/5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Which is the nearest to -2? (a) 0.2 (b) -3 (c) -2/13 (d) -2/9" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -109 = -4*j - 89. Solve 4*t + 11 = 3*a, 0*a + a + j*t = -28 for a." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Round -0.0012189 to five decimal places." }, { "from": "gpt", "value": "-0.00122" } ]
[ { "from": "human", "value": "Calculate the remainder when 3011 is divided by 23." }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Is 3643 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 5*n - 3*b = -8*b + 10, 0 = -n + b. Let f be n*-8*(-2)/4. Let s(y) = y**3 - 3*y**2 - 4*y + 1. Let m be s(f). Is m at most -1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let k(r) be the second derivative of 1/168*r**7 + r + 0*r**4 - 1/80*r**5 + 0*r**6 + 0 + 0*r**3 + 0*r**2. Factor k(y)." }, { "from": "gpt", "value": "y**3*(y - 1)*(y + 1)/4" } ]
[ { "from": "human", "value": "Simplify d**12*d*d/(d*d/(d/((d/((d*d/d**(-17)*d)/d))/d)))*d*(d/d**7)**(-28) assuming d is positive." }, { "from": "gpt", "value": "d**201" } ]
[ { "from": "human", "value": "What is the highest common divisor of 415 and 2745?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let q = -13 - -13. Solve -3*g - g = q for g." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 179 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let p be 16/6*6/4. Let o = p + -5. Let l be -2*(-2)/(21 - 1). Is o >= l?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let v(n) = -6 - n**2 + 4*n + 2*n + n. Let a be v(6). Suppose a = 4*w - 2*w - 22. Is w composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 274 minutes before 2:28 PM?" }, { "from": "gpt", "value": "9:54 AM" } ]
[ { "from": "human", "value": "Solve 20*y + u = 17*y + 14, -4*y + 21 = -u for y." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 62*g - 111243 = 33*g + 546361. Does 31 divide g?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -3*s**2 - 5*s/2 + 1/2 = 0. Calculate s." }, { "from": "gpt", "value": "-1, 1/6" } ]
[ { "from": "human", "value": "Calculate 12 + -22." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "What is next in 13, 1, -35, -107, -227?" }, { "from": "gpt", "value": "-407" } ]
[ { "from": "human", "value": "Let u(o) be the first derivative of -9*o**4/4 + 11*o**3/3 + 1. Find the third derivative of u(y) wrt y." }, { "from": "gpt", "value": "-54" } ]
[ { "from": "human", "value": "Suppose 4*f = 37 - 33. What is the highest common divisor of f and 9?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 4, what is 212110 + 1?" }, { "from": "gpt", "value": "212111" } ]
[ { "from": "human", "value": "What is ((-6)/(-3))/6*(-9)/(-1)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Simplify 5 + (sqrt(729) + (sqrt(729)*-1 - sqrt(729)))/sqrt(3)." }, { "from": "gpt", "value": "5 - 9*sqrt(3)" } ]
[ { "from": "human", "value": "Let n = -117.6 - -104. Let d = -0.4 + n. Let v = 14.0044 + d. What is v rounded to 3 decimal places?" }, { "from": "gpt", "value": "0.004" } ]
[ { "from": "human", "value": "Evaluate (220/16)/11*(-4)/(-3)." }, { "from": "gpt", "value": "5/3" } ]
[ { "from": "human", "value": "Let r(l) = 4 - l. Let g = -17 - -17. Let h be r(g). Solve -5*c + 24 = -3*k, -3 = h*k - k + 2*c for k." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "3 * 117" }, { "from": "gpt", "value": "351" } ]
[ { "from": "human", "value": "What is the b'th term of 177, 358, 537, 708, 865, 1002, 1113?" }, { "from": "gpt", "value": "-b**3 + 5*b**2 + 173*b" } ]
[ { "from": "human", "value": "What is the nearest to -2.5 in 0.4, -0.4, -7, -2?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is 8956 to the power of 1/6, to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let g(n) = -n**2 + 5*n + 9. Let c be g(6). Let r = 18 - 13. Suppose 3*x - 17 = -5. Sort r, c, x." }, { "from": "gpt", "value": "c, x, r" } ]
[ { "from": "human", "value": "What is the third biggest value in -0.11, -1/2, 0.4, 2/9, 0.06?" }, { "from": "gpt", "value": "0.06" } ]
[ { "from": "human", "value": "Suppose -5*l + 9 = -1. Suppose -3*f + 13 = -l*f. Suppose 0 = -2*v + i + 14 + 5, -4*i = 4*v - 8. What is the remainder when f is divided by v?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the a'th term of 28, 86, 168, 262, 356?" }, { "from": "gpt", "value": "-2*a**3 + 24*a**2 + 6" } ]
[ { "from": "human", "value": "Let j be ((-340)/(-6))/((-28)/(-78)). Let v = -157 + j. Solve 0*g - 6/7*g**4 - 2/7*g**5 - v*g**3 - 2/7*g**2 + 0 = 0." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "What is 662 minutes after 11:10 AM?" }, { "from": "gpt", "value": "10:12 PM" } ]
[ { "from": "human", "value": "Let q be (-9)/(-7) + (-4)/14. Suppose -n + q = 2*j - 1, 2*n - 3*j - 11 = 0. Let s be ((-1)/n + 0)/1. Is -0.1 > s?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -d = -r + 1 + 4, d + 10 = 2*r for r." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Which is smaller: 2/157 or -15/22?" }, { "from": "gpt", "value": "-15/22" } ]
[ { "from": "human", "value": "Let t = 7 + -6. Which is the closest to -2/3? (a) t (b) 3/8 (c) 0.3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "In base 3, what is 20 + 10120211?" }, { "from": "gpt", "value": "10121001" } ]
[ { "from": "human", "value": "Convert 0 (base 12) to base 10." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the second derivative of -70*x**2*y**2 + 10*x**2*y + 2*x*y + 325*x + 89348*y**3 + 9*y wrt y?" }, { "from": "gpt", "value": "-140*x**2 + 536088*y" } ]
[ { "from": "human", "value": "Suppose 0*f - 4*f = 8. Let r be (-5 - (f - 1))*-1. Does 18 divide (12 - 3)*r*1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose c - 3*q = 44, -3*c = 2*c - q - 178. Suppose -c = -a - 6. What are the prime factors of a?" }, { "from": "gpt", "value": "29" } ]
[ { "from": "human", "value": "Evaluate 4 + -2 + -2 - -2." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Sort -3, -208, 3, 2 in ascending order." }, { "from": "gpt", "value": "-208, -3, 2, 3" } ]
[ { "from": "human", "value": "434 * 4" }, { "from": "gpt", "value": "1736" } ]
[ { "from": "human", "value": "Is 49663 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 7031.707 plus 5?" }, { "from": "gpt", "value": "7036.707" } ]
[ { "from": "human", "value": "What is the least common multiple of 26 and 52?" }, { "from": "gpt", "value": "52" } ]
[ { "from": "human", "value": "In base 2, what is -1000010010 - 0?" }, { "from": "gpt", "value": "-1000010010" } ]
[ { "from": "human", "value": "Let l be (-8)/10*35/(-14). Let x be (0 - (-584)/(-7)) + -1. Let n = x + 85. Is n less than or equal to l?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "5d (base 14) to base 8" }, { "from": "gpt", "value": "123" } ]
[ { "from": "human", "value": "What is 432 minutes after 1:58 PM?" }, { "from": "gpt", "value": "9:10 PM" } ]
[ { "from": "human", "value": "Solve 0 = -13*o + 5*o - 24 for o." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the nearest to 1/6 in 3, -35, 4?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve 0 = 3*b + 5 + 7 for b." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What comes next: -452, -899, -1346, -1793?" }, { "from": "gpt", "value": "-2240" } ]
[ { "from": "human", "value": "Is 3200 a multiple of 50?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let z = -13 - -13. Suppose -l + 13 + 24 = z. Is l composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -9 = -11*n + 35. Let g be 36/15 + 4/(-10). Find the third derivative of q**n + 4*q**g - q**2 - 4*q**4 wrt q." }, { "from": "gpt", "value": "-72*q" } ]
[ { "from": "human", "value": "Let j = -0.5 - -0.3. Let l be (1/2)/(-3 + 1). Let r = 0.2 - 0.2. Which is the nearest to r? (a) j (b) l (c) -4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Convert 2011 (base 4) to base 10." }, { "from": "gpt", "value": "133" } ]
[ { "from": "human", "value": "What is the value of 28 + -29 - (-3 + 2)?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let n = 161 + -159. Solve -n*o - h + 5 = 0, -2*o + 4*h + 19 = 3*o for o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "In base 14, what is -4 - -6a0?" }, { "from": "gpt", "value": "69a" } ]
[ { "from": "human", "value": "What is the u'th term of 80, 295, 654, 1157, 1804, 2595?" }, { "from": "gpt", "value": "72*u**2 - u + 9" } ]
[ { "from": "human", "value": "What is the n'th term of -557, -754, -963, -1190, -1441, -1722, -2039, -2398?" }, { "from": "gpt", "value": "-n**3 - 190*n - 366" } ]
[ { "from": "human", "value": "Suppose -5*d - 8 + 27 = -q, -5*d + 15 = 0. Which is bigger: -48/11 or q?" }, { "from": "gpt", "value": "q" } ]
[ { "from": "human", "value": "Work out -0.19618 + 8." }, { "from": "gpt", "value": "7.80382" } ]
[ { "from": "human", "value": "What is the next term in -142, -143, -156, -187, -242?" }, { "from": "gpt", "value": "-327" } ]
[ { "from": "human", "value": "Let t be 422/24 + (-39)/(-52). Let f = -18 + t. Which is the nearest to 2/5? (a) 2 (b) -2/3 (c) f" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 332.8663 nanograms in grams?" }, { "from": "gpt", "value": "0.0000003328663" } ]
[ { "from": "human", "value": "In base 15, what is 13 + -d?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let i = -7 - -4. Which is the third smallest value? (a) -1/3 (b) i (c) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 65194.146 nanoseconds in days?" }, { "from": "gpt", "value": "0.000000000754561875" } ]
[ { "from": "human", "value": "Let t(y) = 11 - y. Let x be t(-11). Suppose -2 - x = -3*d. What is the remainder when 88/(-6)*(-12)/d is divided by 12?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the value of (6/24*-2)/((-1)/(-2))?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let f = 9 + -4. Suppose 2*h = 4*h - f*c - 9, 3*c + 13 = 5*h. Which is greater: h or -1?" }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "What is z in -4/5*z - 9/5*z**4 + 4*z**2 - 7/5*z**3 + 0 = 0?" }, { "from": "gpt", "value": "-2, 0, 2/9, 1" } ]
[ { "from": "human", "value": "Solve 0 = -19*k + 7*k + 48 for k." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is -0.1 times -0.0508?" }, { "from": "gpt", "value": "0.00508" } ]
[ { "from": "human", "value": "Let v = -0.9 + 0.5. Let d = -1 + 1.1. Which is the closest to d? (a) -4 (b) v (c) 0.3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the second derivative of -14*z**2 - 42*z wrt z?" }, { "from": "gpt", "value": "-28" } ]
[ { "from": "human", "value": "What is the next term in -46, -101, -158, -217, -278, -341, -406?" }, { "from": "gpt", "value": "-473" } ]
[ { "from": "human", "value": "Calculate 2*8.9." }, { "from": "gpt", "value": "17.8" } ]
[ { "from": "human", "value": "Solve -v - 5*f = -13, -14*f + 13*f - 7 = -3*v for v." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is (0/3)/((-8)/(-8))?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the fourth smallest value in 7, -3, 1/57, 0.5, 0.6?" }, { "from": "gpt", "value": "0.6" } ]
[ { "from": "human", "value": "Which is the closest to -3? (a) -0.3 (b) -1 (c) 2 (d) -0.9" }, { "from": "gpt", "value": "b" } ]