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math

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[ { "from": "human", "value": "Multiply 2.2 and 1." }, { "from": "gpt", "value": "2.2" } ]
[ { "from": "human", "value": "Solve 7 + 3 = 3*g - r, 0 = 2*g + 2*r + 4 for g." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let w = 28.2 + -28. Let u = 1.9 - 2. Let v = -0.5 - u. What is the smallest value in 5, w, v?" }, { "from": "gpt", "value": "v" } ]
[ { "from": "human", "value": "Suppose 3*g - 3*v = 9, -8 = -7*g + 3*g + 2*v. Is (-13)/((-8)/7 + g) composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 0.2 (b) -0.1 (c) 0.019" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose x = w + 3, 0 = -4*x - 2*w - 31 + 25. Sort x, 765, -4 in descending order." }, { "from": "gpt", "value": "765, x, -4" } ]
[ { "from": "human", "value": "Let y = 89 + -78. Suppose -5 - y = -4*l, -x + 3*l + 9 = 0. What is the remainder when x is divided by 7?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the w'th term of 586909, 586803, 586697, 586591, 586485, 586379?" }, { "from": "gpt", "value": "587015 - 106*w" } ]
[ { "from": "human", "value": "Solve -19*k - 48 - 28 = 0 for k." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let h(k) = 2*k - 1. Let g be h(1). Let o = 1 - 3. Which is the closest to o? (a) -2 (b) -1/3 (c) g" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "(-3 + -1 - 1) + -1 - -3" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 0 = -4*q + q + 1614. Suppose q + 251 = 3*a. Is a a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) -2/5 (b) 0.4 (c) -2.1 (d) -2 (e) 1/7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 35 = q - 8*q for q." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "In base 15, what is -a + 2?" }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -0.2 (b) 57 (c) 3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 63870 and 95805?" }, { "from": "gpt", "value": "191610" } ]
[ { "from": "human", "value": "Add 0.04 and -178." }, { "from": "gpt", "value": "-177.96" } ]
[ { "from": "human", "value": "Solve 0 = 2*p + 5*d - 8, -2*d = 2*p + 14 - 22 for p." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -4*w - 3*v = 5, w - v + 14 = -6*v. Which is the closest to 3? (a) w (b) 3 (c) 2" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 3*n + 19*n = -12*n for n." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let k(s) = -s - 5. Let c be k(4). Let h(p) = p**2 + 9*p - 5. Let t be h(c). Calculate the common denominator of (37/t)/(15/(-25)) and -1/5." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "What is 7484 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the y'th term of 82, 95, 108, 121, 134, 147?" }, { "from": "gpt", "value": "13*y + 69" } ]
[ { "from": "human", "value": "What is the f'th term of 108, 210, 310, 408, 504, 598, 690?" }, { "from": "gpt", "value": "-f**2 + 105*f + 4" } ]
[ { "from": "human", "value": "Let k = 101 - 45. Let z be (-6)/k - (-6)/24. Which is the nearest to -0.3? (a) -2/3 (b) -0.1 (c) z" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the closest to -1/2 in -0.1, 2/81, 0.12?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Determine c, given that 6*c**3 + 39*c**2/4 - 6*c - 39/4 = 0." }, { "from": "gpt", "value": "-13/8, -1, 1" } ]
[ { "from": "human", "value": "Let c(k) = -2*k - 10 + 6*k - k. Let g = 19 - 11. What is the remainder when c(g) is divided by 5?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is -0.076 times -160?" }, { "from": "gpt", "value": "12.16" } ]
[ { "from": "human", "value": "-648 divided by 27" }, { "from": "gpt", "value": "-24" } ]
[ { "from": "human", "value": "What is the nearest to -1 in -0.3, -2/3, -0.5, 5?" }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "Collect the terms in m**2 - 544 - 532 + 1121." }, { "from": "gpt", "value": "m**2 + 45" } ]
[ { "from": "human", "value": "Simplify (0 + sqrt(19) + 1*sqrt(19) + -6*(sqrt(19) - sqrt(1539)))**2." }, { "from": "gpt", "value": "47500" } ]
[ { "from": "human", "value": "Find the first derivative of -24*v**3 - 4*v + 1802 wrt v." }, { "from": "gpt", "value": "-72*v**2 - 4" } ]
[ { "from": "human", "value": "What is 2127 to the power of 1/7, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let z be (1 + -2)/(4/(-44)). Suppose q + q - z = -u, 3*q - 19 = -4*u. Solve 0 = -2*g - u - 1 for g." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let k = -5057040652.00000083 - -5057040776. Let p = -122.32 + -1.68. Let q = k + p. What is q rounded to 7 dps?" }, { "from": "gpt", "value": "-8e-07" } ]
[ { "from": "human", "value": "Sort 1, 0.2, -76, -1/4 in increasing order." }, { "from": "gpt", "value": "-76, -1/4, 0.2, 1" } ]
[ { "from": "human", "value": "Evaluate 3 + 1 + 2 + 4 + -12." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "-15876*-0.4" }, { "from": "gpt", "value": "6350.4" } ]
[ { "from": "human", "value": "What is -4 + 15 + -7 + -5?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the n'th term of 56, 97, 138, 179?" }, { "from": "gpt", "value": "41*n + 15" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -4 (b) 1/7 (c) 3 (d) -0.4 (e) -4/5" }, { "from": "gpt", "value": "e" } ]
[ { "from": "human", "value": "5.120344+-0.2" }, { "from": "gpt", "value": "4.920344" } ]
[ { "from": "human", "value": "(((-16)/1)/8)/(-5)*5" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the value of (-136)/(-22) + -6 - 30/44?" }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "Suppose -h**4 + 11*h**3 + 119353*h**2 + 238669*h + 119328 = 0. Calculate h." }, { "from": "gpt", "value": "-339, -1, 352" } ]
[ { "from": "human", "value": "(-2 - 1 - (14 - 14)) + 4" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let y(i) = -i**3 + 7*i**2 + 6. Suppose -3*m - 5*s + 16 = 0, m - 6*m + 2*s = -37. Let u be y(m). Solve u = -3*t - 3 for t." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the remainder when 116 is divided by 89?" }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "What is next in 130, 110, 92, 76, 62, 50, 40?" }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "Let h(v) be the first derivative of -1887*v**5/5 - 3919*v + 4202. What is the derivative of h(m) wrt m?" }, { "from": "gpt", "value": "-7548*m**3" } ]
[ { "from": "human", "value": "Factor -l**5/3 + 2*l**4 - 5*l**3/3." }, { "from": "gpt", "value": "-l**3*(l - 5)*(l - 1)/3" } ]
[ { "from": "human", "value": "Solve -3*r - 4*f + 40 - 13 = 0, -5 = -4*r + 5*f for r." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Factor 4*q**4/7 - 16928*q**2/7 + 17909824/7." }, { "from": "gpt", "value": "4*(q - 46)**2*(q + 46)**2/7" } ]
[ { "from": "human", "value": "What is the t'th term of -13562, -13561, -13560, -13559?" }, { "from": "gpt", "value": "t - 13563" } ]
[ { "from": "human", "value": "Solve 4*h + 5 = -j, 3*j - 2 + 0 = 5*h for j." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let x be -7 + 3 + (2 - 3). Let t = x + 4. Which is the nearest to t? (a) 1 (b) 1/5 (c) -2/7" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose 0 = d + 1 - 6. Let o be 3 + 3/(-3)*3. Suppose i - 4*u = 4*i - 8, o = i - d*u + 10. Which is greater: i or 3/7?" }, { "from": "gpt", "value": "3/7" } ]
[ { "from": "human", "value": "Evaluate -6*((-16)/2)/128." }, { "from": "gpt", "value": "3/8" } ]
[ { "from": "human", "value": "Solve 3*b + 2*b = -20, 0 = -5*h - 3*b - 37 for h." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve 14 = 37*w - 23*w for w." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What are the prime factors of 13426?" }, { "from": "gpt", "value": "2, 7, 137" } ]
[ { "from": "human", "value": "Let h be 14/(-8) + (-4)/16. Let m be (9/1 - h)*-9. Let s = -62 - m. Is s prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -z**5/6 - 11136*z**4 + z**3/2 + 100223*z**2/3 - 22272*z = 0." }, { "from": "gpt", "value": "-66816, -2, 0, 1" } ]
[ { "from": "human", "value": "What is the value of (3 + -1)/(-2 + 2 - -3)?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "Let i(u) = 19*u. Let g(h) = -70*h - 55. Let p(w) = 5*w + 4. Let y(f) = 4*g(f) + 55*p(f). Determine i(y(r))." }, { "from": "gpt", "value": "-95*r" } ]
[ { "from": "human", "value": "What is next in 51, 107, 167, 231, 299, 371?" }, { "from": "gpt", "value": "447" } ]
[ { "from": "human", "value": "Let v = -14 + 19. What is the third derivative of 0*j**2 + 4*j**v - 2*j**5 - 5*j**2 + 4*j**2 wrt j?" }, { "from": "gpt", "value": "120*j**2" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 5124 and 84." }, { "from": "gpt", "value": "84" } ]
[ { "from": "human", "value": "140 divided by -9" }, { "from": "gpt", "value": "-140/9" } ]
[ { "from": "human", "value": "Let l = 39 + -9. Let d be (-5)/l - 47/6. Let f = 35 + d. Is f a multiple of 9?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Three letters picked without replacement from {l: 5, u: 1, d: 3, h: 3, q: 8}. Give prob of picking 1 q, 1 h and 1 l." }, { "from": "gpt", "value": "2/19" } ]
[ { "from": "human", "value": "What is the value of ((-528)/(-165))/(4/10)?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let l be (-30)/(-25)*84/(-8). Let y = l + 267/20. Factor 1/4 + y*g**2 + g." }, { "from": "gpt", "value": "(g + 1)*(3*g + 1)/4" } ]
[ { "from": "human", "value": "What is 170385 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "413" } ]
[ { "from": "human", "value": "Let x = -15 - -13. Let i(d) = 3 - d. Let k be i(2). Let f = k - x. Calculate the smallest common multiple of f and 4." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Solve 0 = -4*z - 8*z + 36 for z." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve -2*d = 4*j + 10, 12*j - 17*j - 14 = d for d." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose o = -0*o + 4. What is the remainder when 17 is divided by o*(-1 + 3) + -3?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let p be (0 - (0 + 3)) + 21. Suppose -5 = c - p. What is the greatest common divisor of 39 and c?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What is 14/1050*-10*(-18)/8?" }, { "from": "gpt", "value": "3/10" } ]
[ { "from": "human", "value": "Solve 0*x + 11 = -2*x + u, -4*x - 16 = 4*u for x." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify (sqrt(171) - sqrt(171)*-1*2)/(-3*(sqrt(9) + -2*sqrt(9)) - sqrt(9))." }, { "from": "gpt", "value": "3*sqrt(19)/2" } ]
[ { "from": "human", "value": "Calculate (-66)/220*(-4)/(-6)." }, { "from": "gpt", "value": "-1/5" } ]
[ { "from": "human", "value": "Suppose 5*x + 4*a = 76, -4*x + 28 = a - 6*a. Solve -u = 2*u - x for u." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the j'th term of -1116, -1119, -1122, -1125, -1128, -1131?" }, { "from": "gpt", "value": "-3*j - 1113" } ]
[ { "from": "human", "value": "Let a = 47 - 29. Calculate the least common multiple of a and 20." }, { "from": "gpt", "value": "180" } ]
[ { "from": "human", "value": "How many nanometers are there in 7.383713 micrometers?" }, { "from": "gpt", "value": "7383.713" } ]
[ { "from": "human", "value": "Subtract 2 from 1.109." }, { "from": "gpt", "value": "-0.891" } ]
[ { "from": "human", "value": "Let r be 4*((-159)/(-126) + -2). Let i = -8/3 - r. What is the nearest to -1/3 in i, 0.2, -1?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "Factor -169/3 - 1/3*r**2 - 26/3*r." }, { "from": "gpt", "value": "-(r + 13)**2/3" } ]
[ { "from": "human", "value": "Put together 2.127 and -62." }, { "from": "gpt", "value": "-59.873" } ]
[ { "from": "human", "value": "Find the third derivative of -j**6 + 56*j**5*m**2 - 4*j**2 + 2*j*m**2 wrt j." }, { "from": "gpt", "value": "-120*j**3 + 3360*j**2*m**2" } ]
[ { "from": "human", "value": "Let p(z) = -7*z - 2*z + z**2 + 11 - 1. Let b be p(7). Let l(j) = j**3 - j**2 - 2. Let m be l(2). Sort m, -3, b in ascending order." }, { "from": "gpt", "value": "b, -3, m" } ]
[ { "from": "human", "value": "Does 2/19949 = 1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let j(a) be the first derivative of 0*a**2 + 4/3*a**3 + 4*a + 1. What is the derivative of j(y) wrt y?" }, { "from": "gpt", "value": "8*y" } ]
[ { "from": "human", "value": "Calculate 50 divided by -25." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "1010 divided by 3" }, { "from": "gpt", "value": "1010/3" } ]