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math

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[ { "from": "human", "value": "Let j(z) = 17*z**2 - 23*z - 55. List the prime factors of j(19)." }, { "from": "gpt", "value": "5, 1129" } ]
[ { "from": "human", "value": "Let d(r) = -6 - r - 2*r + 5. Let i be d(-1). Solve -i*q = -f + 9 - 1, 18 = 4*f - q for f." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Work out -6700 + -0.84." }, { "from": "gpt", "value": "-6700.84" } ]
[ { "from": "human", "value": "Let c = 5 + -3. Let o = 7 - -2. Let q be ((-15)/o + c)*9. Solve 5*i - 9 = 2*s, 4*i + q*s + 2 = -0 for i." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Put 12.9, -4/9, -3 in ascending order." }, { "from": "gpt", "value": "-3, -4/9, 12.9" } ]
[ { "from": "human", "value": "What is the value of 0 + 8 + (25 - 27)?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the next term in -164, -282, -486, -782, -1176, -1674?" }, { "from": "gpt", "value": "-2282" } ]
[ { "from": "human", "value": "Product of 1.8 and -1.2." }, { "from": "gpt", "value": "-2.16" } ]
[ { "from": "human", "value": "What is the third root of 1920 to the nearest integer?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Calculate (-275)/(-220)*4*-1." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is 1/20 of a millimeter in micrometers?" }, { "from": "gpt", "value": "50" } ]
[ { "from": "human", "value": "What is the smallest value in 51/8, -4, 0.28?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let s(p) = -p**3 - 6*p - 3. Let h(r) = -9*r - 5*r + 24*r - 9*r. What is -6*h(q) - s(q)?" }, { "from": "gpt", "value": "q**3 + 3" } ]
[ { "from": "human", "value": "What is 85230 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "44" } ]
[ { "from": "human", "value": "Simplify ((sqrt(324) + (sqrt(324) - sqrt(324)*-2) + sqrt(324))/sqrt(12) - sqrt(27))/(sqrt(729) + sqrt(729) + 1*sqrt(729))." }, { "from": "gpt", "value": "4*sqrt(3)/27" } ]
[ { "from": "human", "value": "Solve l = 0, 4*l - 12 = 2*v - 5*v for v." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "(8/6)/(25/(175/42))" }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "Calculate (42/4)/((-741)/(-152)) + -2." }, { "from": "gpt", "value": "2/13" } ]
[ { "from": "human", "value": "Let j be -2 + 3 + 1*-2. Let w be j/(2 + 18/(-10)). Let f(i) = -3*i. Let d be f(w). Solve 0 = 2*g - d + 5, -3*g = 3*q - 15 for q." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Which is the fifth biggest value? (a) 1/4 (b) 1/3 (c) -2 (d) 5 (e) -0.6" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 44542 - 2.9?" }, { "from": "gpt", "value": "44539.1" } ]
[ { "from": "human", "value": "Convert -111 (base 9) to base 2." }, { "from": "gpt", "value": "-1011011" } ]
[ { "from": "human", "value": "Let k = -96 + 385/4. Which is the nearest to k? (a) -4/5 (b) -0.3 (c) -2/5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let q be -2 + -1 + 1 + 2. Let d = q - -2. Solve -5*y = -d*y for y." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate the common denominator of -109/22 and -79/38." }, { "from": "gpt", "value": "418" } ]
[ { "from": "human", "value": "Suppose 5*l = -85961 - 14829. Let q = 51525 + l. Is q prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let y = 353 + -354. Which is the closest to y? (a) 2/5 (b) 4 (c) 1/5 (d) 0.1" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Suppose 164 = 4*h - 680. Is h composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the square root of 1003 to the nearest integer?" }, { "from": "gpt", "value": "32" } ]
[ { "from": "human", "value": "Does 14 divide 224?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Round 3442700 to the nearest ten thousand." }, { "from": "gpt", "value": "3440000.0" } ]
[ { "from": "human", "value": "Let n = -2 - -2.2. Let y(s) = -s**3 + 11*s**2 - 13*s + 2. Let w be y(10). Let i be (-2)/(-3)*6/w. Which is the third biggest value? (a) n (b) i (c) -2/9" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "-1 divided by -201" }, { "from": "gpt", "value": "1/201" } ]
[ { "from": "human", "value": "Solve 0 = 4*z + 4, -2*u - 23 + 32 = z for u." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let r(g) be the first derivative of -g**5/40 - 5*g**4/24 - 2*g**3 - 4. Let c(j) be the third derivative of r(j). Differentiate c(b) with respect to b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -s - 69 = -3*n, 5*n = 2*s + 14 + 100. Calculate the remainder when n is divided by 14." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let m = -26.02 - -26. Which is the third biggest value? (a) 0.3 (b) m (c) 8" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the p'th term of 225, 454, 683?" }, { "from": "gpt", "value": "229*p - 4" } ]
[ { "from": "human", "value": "Let p = -15 - -9. Let r = -1 - p. Sort -0.2, r, -2 in descending order." }, { "from": "gpt", "value": "r, -0.2, -2" } ]
[ { "from": "human", "value": "Collect the terms in -27034*w + 13505*w + 13523*w." }, { "from": "gpt", "value": "-6*w" } ]
[ { "from": "human", "value": "Is 1600 a multiple of 100?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 7 and 21." }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "What is 1c (base 14) in base 16?" }, { "from": "gpt", "value": "1a" } ]
[ { "from": "human", "value": "Let y = -343 + 355. What is the smallest common multiple of 147 and y?" }, { "from": "gpt", "value": "588" } ]
[ { "from": "human", "value": "Collect the terms in -1 + 2*h + 2*h - h." }, { "from": "gpt", "value": "3*h - 1" } ]
[ { "from": "human", "value": "Put -2, -3, -8, 2 in decreasing order." }, { "from": "gpt", "value": "2, -2, -3, -8" } ]
[ { "from": "human", "value": "Solve -4*c + 4 = -3*z, 4 + 6 = -z - 3*c for z." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose -4*p + 51 = 4*q - 3*p, 0 = -4*p - 4. Suppose -5*c - 4*m = -12, 3 = -c + 3*m + q. Solve 4*j + c*a - 8 = 0, 0*j - 5*a = -5*j + 40 for j." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Which is greater: -2/5 or -7/57?" }, { "from": "gpt", "value": "-7/57" } ]
[ { "from": "human", "value": "Let v = -7 + 7. Let g be (-16)/(-10) - (-6)/15. Suppose v = -g*l - 8 + 20. Solve -a = -l*a for a." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is 143 a factor of 55338?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor p**4/6 - 1333*p**3/6 + 98790*p**2 - 14686632*p + 14588064." }, { "from": "gpt", "value": "(p - 444)**3*(p - 1)/6" } ]
[ { "from": "human", "value": "What is 336 divided by 112?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Find the common denominator of 63/2 and -15/3926." }, { "from": "gpt", "value": "3926" } ]
[ { "from": "human", "value": "Let b(c) = -6*c**2 - 4. Suppose 2 = 2*h - 3*h. Let w be 4 + -2 - (h + 0). Let o(r) = 7*r**2 - r + 5. Let p(j) = w*o(j) + 5*b(j). Factor p(u)." }, { "from": "gpt", "value": "-2*u*(u + 2)" } ]
[ { "from": "human", "value": "What is the next term in 1075, 1082, 1089, 1096?" }, { "from": "gpt", "value": "1103" } ]
[ { "from": "human", "value": "Let m = -8 - -12. Suppose m*y - 5 = 51. Solve c - 9 - 1 = 5*l, -c - y = 3*l for c." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify (1*-2*sqrt(133) + sqrt(133))/(sqrt(49)/(sqrt(7) - -2*sqrt(7)))." }, { "from": "gpt", "value": "-3*sqrt(19)" } ]
[ { "from": "human", "value": "Let h(u) = u**2. Let y(p) be the first derivative of 10*p**3/3 + 11. Calculate y(h(f))." }, { "from": "gpt", "value": "10*f**4" } ]
[ { "from": "human", "value": "Is 3796 a multiple of 146?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let t be 57*((-10)/6)/5. Let n = t + 24. Solve n*u = 5*c + 15, 5*u + 3*c - 3 = -12 for u." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose n - x - 2 = 0, 0 = 4*n - 0*n + 4*x - 32. Suppose z + 20 = p + 4, -n*z = 0. Calculate the remainder when (-875)/(-28) - 1/4 is divided by p." }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Express 2*i**2 - 50*i + 48*i + 10*i**4 - 7*i**4 - 2*i**3 as p*i**2 + c*i**3 + o*i + v + a*i**4 and give a." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is next in 61, 108, 155, 202?" }, { "from": "gpt", "value": "249" } ]
[ { "from": "human", "value": "Calculate the remainder when 243 is divided by 95." }, { "from": "gpt", "value": "53" } ]
[ { "from": "human", "value": "What is -8086 plus 8?" }, { "from": "gpt", "value": "-8078" } ]
[ { "from": "human", "value": "Does 16 divide 161745344?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify ((sqrt(136) + -3*(sqrt(136)*-2 + sqrt(136)) + sqrt(136))/(sqrt(24)/sqrt(48)))**2." }, { "from": "gpt", "value": "6800" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 59037 and 252249." }, { "from": "gpt", "value": "2774739" } ]
[ { "from": "human", "value": "What is the value of -1 - (1 + -2)/((-6)/24)?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is 176 divided by -4?" }, { "from": "gpt", "value": "-44" } ]
[ { "from": "human", "value": "Solve 0 = -40*b + 215 + 25 for b." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Multiply 150 and 32." }, { "from": "gpt", "value": "4800" } ]
[ { "from": "human", "value": "Let f(y) = 4*y**3 - 2*y**2 + 4*y. Let j(s) = s**2 - s. Let d(r) = f(r) + 2*j(r). What is the second derivative of d(c) wrt c?" }, { "from": "gpt", "value": "24*c" } ]
[ { "from": "human", "value": "What comes next: 325, 643, 963, 1285, 1609, 1935, 2263?" }, { "from": "gpt", "value": "2593" } ]
[ { "from": "human", "value": "Total of 297.5 and 1.05." }, { "from": "gpt", "value": "298.55" } ]
[ { "from": "human", "value": "What is 10/(-15)*3/2*0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Put -17, -4, -0.05 in ascending order." }, { "from": "gpt", "value": "-17, -4, -0.05" } ]
[ { "from": "human", "value": "What is 429 minutes before 7:13 AM?" }, { "from": "gpt", "value": "12:04 AM" } ]
[ { "from": "human", "value": "What is next in -50, -49, -46, -41, -34, -25, -14?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let q = -2.9 - -3. Let l = q + -0.5. Let o = -0.2 - l. Is o at least 1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let z(g) = -4*g**2 - 2*g - 3 + 2*g**2 + 3*g**2. Is 5 a factor of z(4)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 26307638 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "5129" } ]
[ { "from": "human", "value": "Suppose 0 = -0*l + 3*l - 15. Let r(f) = 2*f**3 + 2*f - 2. Let z(s) = -2*s**3 - 2*s + 2. Calculate l*r(p) + 6*z(p)." }, { "from": "gpt", "value": "-2*p**3 - 2*p + 2" } ]
[ { "from": "human", "value": "Let r = -49 + 61. Solve -r = v + 2*v for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "List the prime factors of 4575553." }, { "from": "gpt", "value": "4575553" } ]
[ { "from": "human", "value": "Suppose -4 - 26 = -5*l. Let k(w) = 7 - 3*w. Let j be k(-5). Suppose -j = -5*p - 2*s - s, -4*p - 4 = -3*s. Solve l - p = -q for q." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate -5 - (-1 + 0 + -2)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -14*f - 492 = -436 for f." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let n(i) be the first derivative of 9/8*i**2 + 2 + 0*i + 1/4*i**3. Factor n(k)." }, { "from": "gpt", "value": "3*k*(k + 3)/4" } ]
[ { "from": "human", "value": "In base 2, what is -11101111100101 - -10?" }, { "from": "gpt", "value": "-11101111100011" } ]
[ { "from": "human", "value": "In base 9, what is -56 - 15?" }, { "from": "gpt", "value": "-72" } ]
[ { "from": "human", "value": "What is -24150 divided by -175?" }, { "from": "gpt", "value": "138" } ]
[ { "from": "human", "value": "What is -1 (base 10) in base 16?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What comes next: 5, 21, 71, 173, 345, 605?" }, { "from": "gpt", "value": "971" } ]
[ { "from": "human", "value": "What is 0.0000856 rounded to 6 decimal places?" }, { "from": "gpt", "value": "8.6e-05" } ]
[ { "from": "human", "value": "What is -6 + (0 - ((7 - 17) + 3))?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Sort -0.3, 0, 0.1 in descending order." }, { "from": "gpt", "value": "0.1, 0, -0.3" } ]
[ { "from": "human", "value": "What is the biggest value in -0.7, 3, 1.9?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let a = 13.1 + -16. Let v = 3 + a. What is the third smallest value in -2/3, v, 1?" }, { "from": "gpt", "value": "1" } ]