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math

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[ { "from": "human", "value": "1/(-17) - (-816)/(-867)" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Solve 9*o - 27 = 6*o + 3*p, -6 = -2*o - 2*p for o." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Factor -2*w**3/5 - 6*w**2." }, { "from": "gpt", "value": "-2*w**2*(w + 15)/5" } ]
[ { "from": "human", "value": "Let x(w) = 12*w**3 + 2. Let z(a) = -61*a**3 + a**2 - 11. Let h(l) = -22*x(l) - 4*z(l). What is the third derivative of h(q) wrt q?" }, { "from": "gpt", "value": "-120" } ]
[ { "from": "human", "value": "What is the u'th term of -1130, -1132, -1134, -1136, -1138, -1140?" }, { "from": "gpt", "value": "-2*u - 1128" } ]
[ { "from": "human", "value": "What is 40/(-150)*(-30)/(-4)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 13912 and 148." }, { "from": "gpt", "value": "148" } ]
[ { "from": "human", "value": "What is the closest to 2.74 in 0.1, 0, 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 7807 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "What is the third root of 3333 to the nearest integer?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Let h = 6853 + -6785. Calculate the least common multiple of h and 18." }, { "from": "gpt", "value": "612" } ]
[ { "from": "human", "value": "Put -4, 2, 3/5, -18.46 in decreasing order." }, { "from": "gpt", "value": "2, 3/5, -4, -18.46" } ]
[ { "from": "human", "value": "What is the next term in -2393, -1826, -1261, -698, -137?" }, { "from": "gpt", "value": "422" } ]
[ { "from": "human", "value": "Let t(h) = 6*h**2 - 18*h + 4. Let o(a) = 11*a**2 - 37*a + 9. Let b(g) = 4*o(g) - 9*t(g). Find the second derivative of b(n) wrt n." }, { "from": "gpt", "value": "-20" } ]
[ { "from": "human", "value": "What is the cube root of 1323 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Find the second derivative of 31*h*p**5 - 33*h*p**4 - h*p - 2*h + 762*p wrt p." }, { "from": "gpt", "value": "620*h*p**3 - 396*h*p**2" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 19992 and 252." }, { "from": "gpt", "value": "59976" } ]
[ { "from": "human", "value": "Let v = 8 - 6. Let d = v - -3. Suppose d*p - 30 = -10. Solve 5*a + 17 = -2*x, -3*a + p*a = x - 9 for x." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Which is smaller: -107 or -81?" }, { "from": "gpt", "value": "-107" } ]
[ { "from": "human", "value": "In base 15, what is -2 - 3b?" }, { "from": "gpt", "value": "-3d" } ]
[ { "from": "human", "value": "What is 942c (base 15) in base 4?" }, { "from": "gpt", "value": "13221111" } ]
[ { "from": "human", "value": "Solve 3 = a, -5*a + 53 = -d + 101 - 52 for d." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Evaluate (-24)/10 - -2 - 92/20." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the next term in 1714, 3441, 5168?" }, { "from": "gpt", "value": "6895" } ]
[ { "from": "human", "value": "Suppose -2*q = -7*q + 100. Solve -5*p - 12 = 2*x + 13, 2*x - 4*p = q for x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 3/12*2*4?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve 19*n - 21*n = 2 for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is the closest to -3? (a) -4 (b) -3 (c) 0" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Round 48970 to the nearest ten thousand." }, { "from": "gpt", "value": "50000.0" } ]
[ { "from": "human", "value": "What comes next: 26, 42, 68, 104?" }, { "from": "gpt", "value": "150" } ]
[ { "from": "human", "value": "What is the closest to -4 in -2, 5, -1/4, 1/8?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Find the third derivative of -101*j**5*k**3 + 2*j**5 + 4*j**2 - 2*j*k**3 + j*k wrt j." }, { "from": "gpt", "value": "-6060*j**2*k**3 + 120*j**2" } ]
[ { "from": "human", "value": "What is the next term in -1178, -1185, -1202, -1235, -1290, -1373, -1490?" }, { "from": "gpt", "value": "-1647" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 45 and 1449." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let w = 0.3 - 0.2. Let z = w - -2.9. Let o = 1.6 + -3.6. What is the biggest value in o, z, 0.2?" }, { "from": "gpt", "value": "z" } ]
[ { "from": "human", "value": "What is the m'th term of -2717, -5432, -8147, -10862, -13577?" }, { "from": "gpt", "value": "-2715*m - 2" } ]
[ { "from": "human", "value": "Evaluate 0 - (2 + 6 + -5)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let o(g) = g**2 + 3*g + 2. Let h be o(-3). Suppose 2*l = 4*p + 4, 0 = 7*p - h*p. Suppose -25 = 5*t - a - 0, l*t + a = -3. Which is greater: -5 or t?" }, { "from": "gpt", "value": "t" } ]
[ { "from": "human", "value": "Simplify (-4 + (1 + sqrt(176) - sqrt(176)) + sqrt(176) + (sqrt(176) + -1)*-1)**2 + -2." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 1 + (350/49)/(-10)?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Let z = -20 + 22. Let n(p) be the third derivative of 2*p**z + 0*p**4 + 0*p**6 + 1/630*p**7 + 0*p**3 + 0 - 1/180*p**5 + 0*p. Determine d so that n(d) = 0." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "What is the value of 143/715*(-50)/4?" }, { "from": "gpt", "value": "-5/2" } ]
[ { "from": "human", "value": "What is the third derivative of -17*g*k**3*x - 64*g*k**2*x - 2*g*k*x + 2*g*x + 2*k**3*x + 2*k**2*x wrt k?" }, { "from": "gpt", "value": "-102*g*x + 12*x" } ]
[ { "from": "human", "value": "Let v be 1 - (-2 + -1 - 0). Which is the third smallest value? (a) v (b) 2 (c) 2/3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Solve 3*b + 18*b = 63 for b." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let g(y) = y**3 + 3*y**2 + 3*y + 3. Let p be g(-2). Let f be 3/(6/20) + p. Calculate the greatest common divisor of 1 and f." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the x'th term of 3984, 3989, 3992, 3993, 3992, 3989, 3984?" }, { "from": "gpt", "value": "-x**2 + 8*x + 3977" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 27 and 7845?" }, { "from": "gpt", "value": "70605" } ]
[ { "from": "human", "value": "Let z(p) = -p**3 + 9*p**2 + p + 3. Let j be z(9). Solve 3*a + j = -v - a, 2*v = -a - 10 for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Simplify (-6*(sqrt(76)*1 - sqrt(76)) - sqrt(76))/sqrt(4)." }, { "from": "gpt", "value": "-sqrt(19)" } ]
[ { "from": "human", "value": "Is 40873 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Divide 28044 by -1558." }, { "from": "gpt", "value": "-18" } ]
[ { "from": "human", "value": "Solve c = -0*c - 2*c for c." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -19 - 7 = -26*p for p." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify 3*(5 + 0 + sqrt(304))**2." }, { "from": "gpt", "value": "120*sqrt(19) + 987" } ]
[ { "from": "human", "value": "Suppose -4*n = 18 + 2. Let f be ((-2)/n)/((-12)/(-10)). What is x in f*x + 2/3 - 1/3*x**2 = 0?" }, { "from": "gpt", "value": "-1, 2" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) 2/97 (b) 0.4 (c) 37" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -3*m - 14 = -5. Let p = -3 - m. Solve 5 = h - p*h for h." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Round -51940000 to the nearest one million." }, { "from": "gpt", "value": "-52000000.0" } ]
[ { "from": "human", "value": "What is 6667 to the power of 1/8, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the next term in 417, 424, 443, 480, 541, 632?" }, { "from": "gpt", "value": "759" } ]
[ { "from": "human", "value": "Let k be ((-58)/(-6))/((-1)/(-3)). Suppose 0 = 6*c - 5*c - k. Solve -15 = -3*m + w, -m = 4*m - 3*w - c for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose r + 2*r - 5*w - 15 = 0, 4*r - 3 = w. Let v be 3/9*(r - 3). Put v, -4, -5 in decreasing order." }, { "from": "gpt", "value": "v, -4, -5" } ]
[ { "from": "human", "value": "Let f be (-2)/4 - (-95)/2. Which is smaller: 46 or f?" }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "Let r(s) = 39*s + 4. Let v be r(1). What is the third derivative of -210*x + 24*x**2 - v*x**3 + 210*x wrt x?" }, { "from": "gpt", "value": "-258" } ]
[ { "from": "human", "value": "How many millilitres are there in 604.1541l?" }, { "from": "gpt", "value": "604154.1" } ]
[ { "from": "human", "value": "Which is the nearest to 0.2? (a) -0.02 (b) -0.12 (c) -3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Expand (5*d**2 - 3*d**2 - 3*d**2 + 6*d - 2)*(2*d**2 - 4*d**2 + d**2)." }, { "from": "gpt", "value": "d**4 - 6*d**3 + 2*d**2" } ]
[ { "from": "human", "value": "Simplify (0 + -2*sqrt(45) + 4 + sqrt(30)/sqrt(6))**2." }, { "from": "gpt", "value": "141 - 40*sqrt(5)" } ]
[ { "from": "human", "value": "Calculate the remainder when 42 is divided by 15." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Find the second derivative of 12448*v**2 - 7878*v." }, { "from": "gpt", "value": "24896" } ]
[ { "from": "human", "value": "Let v(s) be the second derivative of 0*s**4 + 3/2*s**2 - 2*s + 0*s**3 + 3/20*s**5 + 0. Differentiate v(b) with respect to b." }, { "from": "gpt", "value": "9*b**2" } ]
[ { "from": "human", "value": "Let s be 0/(-1) + 56/(-2). Is 5 a factor of (-189)/s + 2/8?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let r be 2 - (4 - 4/2). Suppose 4*u - 4 + 0 = r, -2*u + 2 = 5*w. Let d = -167/4 + 42. Which is greater: w or d?" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let s = 0.5 - 1. Let m = s - 0.5. Let u = m + 0.99999998. What is u rounded to 7 decimal places?" }, { "from": "gpt", "value": "0.0" } ]
[ { "from": "human", "value": "What is (-90)/(-9) - (9 + -8)?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let u be (-5)/(-1) - 8/(-96)*-66. Let w = -0.4 + -1.6. Sort w, u, 0.3." }, { "from": "gpt", "value": "w, u, 0.3" } ]
[ { "from": "human", "value": "Let j(g) = 2 - 2*g. Let v be j(2). What is the units digit of v/(-7) + (-96)/(-7)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 11 + 6 = 3*i + 2*l, 3*l = -2*i + 13. Suppose x = -3*x + 16. Solve k + x*k = -i for k." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Evaluate 360/945*-6*2/4." }, { "from": "gpt", "value": "-8/7" } ]
[ { "from": "human", "value": "Let m(a) be the second derivative of a**9/15120 - a**7/2520 - 5*a**4/12 + 2*a. Let i(l) be the third derivative of m(l). Factor i(q)." }, { "from": "gpt", "value": "q**2*(q - 1)*(q + 1)" } ]
[ { "from": "human", "value": "What is the nearest to 0 in -0.07, 0.4, -0.2, 3/4?" }, { "from": "gpt", "value": "-0.07" } ]
[ { "from": "human", "value": "Let i = 0.1062 - -7.8938. What is the third smallest value in -2, i, 1/12, 3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What comes next: 644, 648, 654, 662, 672?" }, { "from": "gpt", "value": "684" } ]
[ { "from": "human", "value": "Let k be (-6)/24 - (-42)/8. Suppose 3*x - k*x + s + 14 = 0, -5*x + 34 = -2*s. What is the units digit of x?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the square root of 2119 to the nearest integer?" }, { "from": "gpt", "value": "46" } ]
[ { "from": "human", "value": "What is the closest to 2 in -12, 0.1, -1/2?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "What is the second derivative of x**5 - 86*x**2 + 32*x + 2 wrt x?" }, { "from": "gpt", "value": "20*x**3 - 172" } ]
[ { "from": "human", "value": "What is the common denominator of -67/1296050 and 151/740600?" }, { "from": "gpt", "value": "5184200" } ]
[ { "from": "human", "value": "Let o = 0.2 - 0. Let d = 3.3 + -0.3. Let w = 5 - d. Which is the closest to w? (a) 0.3 (b) o (c) 1/4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let g(u) = -u**3 + 21*u**2 - 3*u + 65. Let t be g(21). Solve t*m = -2 - 6 for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "6/(-2)*120/90" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve -4*t + 5*w + 25 = -2*t, 0 = 2*t + w - 7 for t." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Product of 1.7885 and 1." }, { "from": "gpt", "value": "1.7885" } ]
[ { "from": "human", "value": "Suppose -4*d + 0*l = -l + 9, 0 = d - l. Let a be d/(-2)*8/6. Suppose -24 = -5*u - a*v, -2*u + 8 = v - 1. Solve -4*f + 12 = 3*t, 0*t - 2*f + u = -2*t for t." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 100 = p + 104 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let p be (-105)/6*4/(-10). Solve 0 = -w - 3*w - 4, 0 = 5*c + 3*w - p for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let i = -36614045/231 + 158502. Let p = 2/77 + i. Sort -3, 0.5, p in decreasing order." }, { "from": "gpt", "value": "0.5, p, -3" } ]
[ { "from": "human", "value": "Let p = 24186 + -98315/4. Let o = p - -393. Let x be 16/(-10) - (-2 + 1). Which is the nearest to o? (a) x (b) -1/6 (c) -4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "-15 + -1 - (4 - 13)" }, { "from": "gpt", "value": "-7" } ]