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math

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[ { "from": "human", "value": "Let c(q) = q**2 + 6*q + 6. Let w be c(-5). Let b = w + 0. Let p = 11 - b. What is the tens digit of p?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate (-275)/(-220)*4*-1." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve -2*a + 24*a - 110 = 0 for a." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "How many centimeters are there in 1/4 of a meter?" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "Let o(b) = -b**3 + 5*b**2 - 2*b - 3. Let r be o(3). Suppose 0 = 4*x - x - r. Is x greater than or equal to 3?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "How many micrometers are there in eighty-seven halves of a millimeter?" }, { "from": "gpt", "value": "43500" } ]
[ { "from": "human", "value": "What is -72471614029 take away 0.1?" }, { "from": "gpt", "value": "-72471614029.1" } ]
[ { "from": "human", "value": "What is 0.1756 rounded to one decimal place?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "Which is the closest to 0.17? (a) 1/7 (b) -0.1 (c) 0.3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Put -3, 2/5, 8, 0.01 in descending order." }, { "from": "gpt", "value": "8, 2/5, 0.01, -3" } ]
[ { "from": "human", "value": "Suppose 41 + 229 = 5*x. Suppose -w - c = -21, 5*w + 4*c = 49 + x. Is w a multiple of 12?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the common denominator of 38/55 and -71/60." }, { "from": "gpt", "value": "660" } ]
[ { "from": "human", "value": "What is the product of -0.01 and 2.28?" }, { "from": "gpt", "value": "-0.0228" } ]
[ { "from": "human", "value": "What is the remainder when 20 is divided by (-1 + -12 - -2)*-1?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What comes next: 14500, 14501, 14502?" }, { "from": "gpt", "value": "14503" } ]
[ { "from": "human", "value": "Are -510 and 1647 nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -5*g + 69 = -2*g. Suppose -6*q = -q - 10. Solve g = z + 5*m, -3*z + 4*m - 9 + q = 0 for z." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let r = 62452/5 + -12360. Let q = -130 + r. Let j be (-8)/18 + (-10)/(-15). Which is the third biggest value? (a) j (b) 1/4 (c) q" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let y(x) be the third derivative of x**6/300 - x**4/60 - 41*x**2. Factor y(m)." }, { "from": "gpt", "value": "2*m*(m - 1)*(m + 1)/5" } ]
[ { "from": "human", "value": "What is next in 25, 42, 75, 130, 213?" }, { "from": "gpt", "value": "330" } ]
[ { "from": "human", "value": "Let v(p) be the second derivative of 3*p**6/10 + 5*p**2/2 - 6*p. Differentiate v(a) with respect to a." }, { "from": "gpt", "value": "36*a**3" } ]
[ { "from": "human", "value": "What is the r'th term of 39081, 39085, 39091, 39099?" }, { "from": "gpt", "value": "r**2 + r + 39079" } ]
[ { "from": "human", "value": "Let y(a) = a**2 + 9*a - 1. Let c be y(-10). Let j be 151/c + 6/27. Let q be 4/(-16) + j/4. Solve 3*g - 9 = k, 0 = q*g - k + 1 - 14 for g." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the square root of 24941 to the nearest integer?" }, { "from": "gpt", "value": "158" } ]
[ { "from": "human", "value": "What is 16003 to the power of 1/6, to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let j(q) = -6*q**3 - 4*q**2 - 4*q - 1. Let t(n) = -7*n**3 - 5*n**2 - 5*n. Give -5*j(f) + 4*t(f)." }, { "from": "gpt", "value": "2*f**3 + 5" } ]
[ { "from": "human", "value": "Let b = 361.42 - 365. Let t = -0.52 + b. Let p = t + -0.9. Put 5, p, 3/5 in decreasing order." }, { "from": "gpt", "value": "5, 3/5, p" } ]
[ { "from": "human", "value": "Solve -22*i - 42 = 24 for i." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the remainder when 22879 is divided by 7613?" }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "Calculate -8 - (-2364)/156 - 7." }, { "from": "gpt", "value": "2/13" } ]
[ { "from": "human", "value": "Let l = -7 - -4. Let n = 31 + -21. Suppose 4*s + 2*p - 8 = 2, -2*p = -n. Which is the nearest to 2? (a) l (b) -2/5 (c) s" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let w = 156 - 158. Put 5, w, -3, 2 in increasing order." }, { "from": "gpt", "value": "-3, w, 2, 5" } ]
[ { "from": "human", "value": "Let d(k) be the first derivative of k**7/1680 + 4*k**3/3 + 1. Let a(v) be the third derivative of d(v). Factor a(q)." }, { "from": "gpt", "value": "q**3/2" } ]
[ { "from": "human", "value": "Let f(s) = -s**3 + 10*s**2 + 10*s + 14. Let a be f(11). Suppose -5*c = -123 - 22. Solve -4*m + o - 14 = -o, a*o = -4*m - c for m." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose -3*i - 1 = 2*u - 0*u, -3*i + 1 = 4*u. Let g = 0.61 - 0.58. Which is greater: u or g?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Let p = -71589 + 101108. Is p a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Find the second derivative of -1795*t**4 - 131*t - 8." }, { "from": "gpt", "value": "-21540*t**2" } ]
[ { "from": "human", "value": "-6 * 110" }, { "from": "gpt", "value": "-660" } ]
[ { "from": "human", "value": "What is the z'th term of -1455, -1440, -1425, -1410, -1395, -1380?" }, { "from": "gpt", "value": "15*z - 1470" } ]
[ { "from": "human", "value": "Collect the terms in -71*i**3 - 59*i**3 + 167*i**3 - 55*i**3." }, { "from": "gpt", "value": "-18*i**3" } ]
[ { "from": "human", "value": "Factor -l**2/8 - 2*l + 10." }, { "from": "gpt", "value": "-(l - 4)*(l + 20)/8" } ]
[ { "from": "human", "value": "What is the square root of 21748 to the nearest integer?" }, { "from": "gpt", "value": "147" } ]
[ { "from": "human", "value": "Calculate the remainder when 170 is divided by 67." }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "What is the product of -0.3 and -43?" }, { "from": "gpt", "value": "12.9" } ]
[ { "from": "human", "value": "Suppose 0 = -2*f + 7 + 1. Let g = f - 4. What is the third derivative of g*z**2 + 2*z**6 + z**2 + 0*z**2 wrt z?" }, { "from": "gpt", "value": "240*z**3" } ]
[ { "from": "human", "value": "Let i = -6 - -2. Let l = -76 - -379/5. Which is the smallest value? (a) i (b) l (c) 3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the next term in 12, 62, 144, 258, 404?" }, { "from": "gpt", "value": "582" } ]
[ { "from": "human", "value": "Let t(m) = 2*m + 5. Let c be t(-7). Let o = 9 + c. Solve -2*y - 2*y + 4*h = o, 0 = 3*y - 4*h + 2 for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let z = 10 - 4. Suppose 4*j = 7*j - z. Suppose -13/4*n + 3*n**j + 1/2 + 27/4*n**3 = 0. What is n?" }, { "from": "gpt", "value": "-1, 2/9, 1/3" } ]
[ { "from": "human", "value": "Suppose 3*s + 2*s = -3*l + 16, -2*l - 5*s + 14 = 0. Suppose 7 = -5*z + l. Suppose 25*d - 20*d = 0. Which is the closest to d? (a) 0.5 (b) z (c) -1/4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 0.6742 - -0.06418?" }, { "from": "gpt", "value": "0.73838" } ]
[ { "from": "human", "value": "Solve -7 + 8 = -r for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 250 to the power of 1/6, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Simplify 3*(0 + (-2*sqrt(91))/sqrt(7))." }, { "from": "gpt", "value": "-6*sqrt(13)" } ]
[ { "from": "human", "value": "Is 180 a factor of 9782?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -154*u + 137*u - 136 = 0 for u." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "What is the value of (0 - (4 + -3) - -4) + -4?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let p be 60/27 + (-4)/18. Suppose 0 = p*m + 2*m. Suppose 4*f - 72 = -m*f. Solve -4*d - f = 2 for d." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve 89 = 6*c + 77 for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 5 - (1 + (-2 - -1))?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let f(k) be the second derivative of 0 + 1/189*k**7 + 2/9*k**2 - 2/27*k**4 + 1/27*k**3 + 2/135*k**6 - k - 1/45*k**5. Determine w, given that f(w) = 0." }, { "from": "gpt", "value": "-2, -1, 1" } ]
[ { "from": "human", "value": "What comes next: -6, -21, -46, -81, -126?" }, { "from": "gpt", "value": "-181" } ]
[ { "from": "human", "value": "Let 4*h**2 + 1704*h + 181476 = 0. Calculate h." }, { "from": "gpt", "value": "-213" } ]
[ { "from": "human", "value": "(2/4)/((-71)/(-994))" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let f be 4 + (1 - -11) - 4. Solve -4*c = -2*h + f, -2*h + 3 - 1 = -2*c for h." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Factor 2*q**4/15 - 1244*q**3/15 - 1246*q**2/15." }, { "from": "gpt", "value": "2*q**2*(q - 623)*(q + 1)/15" } ]
[ { "from": "human", "value": "Let x = -4.3 - -3.3. Let z = 0 - 3. Let m = z - x. Which is the closest to -0.2? (a) m (b) -0.3 (c) -4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve -73 = 55*u + 257 for u." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let u = -79 + 83. Solve 2*t - 8 = 2*f, 0 = -2*f + 5*t - 10 - u for f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose j + 14 = -r, -5*j - 68 = 4*r - 0*r. Let t = -8 - j. Suppose -91 = -t*o + 61. Is 19 a factor of o?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 3*d = 2 - 11. Let r(v) = 2 - v. Let m be r(d). Suppose 15 = 4*u - t, -16 - 5 = -2*u + 5*t. Solve 7 = -3*n - u*f - 5, 20 = 2*n - m*f for n." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Which is smaller: -61 or -58?" }, { "from": "gpt", "value": "-61" } ]
[ { "from": "human", "value": "Let s be ((-3 - -2) + 2)/(-18). Which is bigger: s or -1?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "What are the prime factors of 10090?" }, { "from": "gpt", "value": "2, 5, 1009" } ]
[ { "from": "human", "value": "Suppose 0 = -4*v + 31 - 131. Which is greater: v or -26?" }, { "from": "gpt", "value": "v" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 420 and 4480." }, { "from": "gpt", "value": "140" } ]
[ { "from": "human", "value": "What is the value of (-336)/(-60) + -4 + -1 + 0?" }, { "from": "gpt", "value": "3/5" } ]
[ { "from": "human", "value": "Let r(v) = v**3 - 7*v**2 - 9*v + 11. Suppose 1 = -5*p + 41. Let k be r(p). Let u(g) = 3*g - 4. Calculate the remainder when u(k) is divided by 3." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 3/5 of a day in seconds?" }, { "from": "gpt", "value": "51840" } ]
[ { "from": "human", "value": "What is the tenth root of 16 to the nearest integer?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 6*o - 32 = 2*o. Let z = o + -4. What are the prime factors of z?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate 0 + (0 - (-1 + -3)) - 0." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let o = 62 + -61.7. Let j = -2 - 1. What is the biggest value in j, o, 3?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is prob of picking 1 b and 1 m when two letters picked without replacement from {v: 2, m: 3, n: 1, b: 1}?" }, { "from": "gpt", "value": "1/7" } ]
[ { "from": "human", "value": "What is the o'th term of -24, -92, -160, -228, -296, -364?" }, { "from": "gpt", "value": "44 - 68*o" } ]
[ { "from": "human", "value": "What is (((-810)/220)/(-27))/((-3)/(-4))?" }, { "from": "gpt", "value": "2/11" } ]
[ { "from": "human", "value": "Solve 3 = 3*f, 5*i + 12 = 2*i - 3*f for i." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Work out 9 + -11777." }, { "from": "gpt", "value": "-11768" } ]
[ { "from": "human", "value": "Solve -4*c + 3 = -b, 3*c - 5*b = 14 + 1 for c." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve 0 = 2*p - 0 + 8 for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the l'th term of 15, 2, -29, -84, -169, -290?" }, { "from": "gpt", "value": "-l**3 - 3*l**2 + 3*l + 16" } ]
[ { "from": "human", "value": "What is the l'th term of 494, 492, 490, 488?" }, { "from": "gpt", "value": "496 - 2*l" } ]
[ { "from": "human", "value": "Which is the closest to 5? (a) 0 (b) -8 (c) 5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let s = 52 + -52.0000179. What is s rounded to six decimal places?" }, { "from": "gpt", "value": "-1.8e-05" } ]
[ { "from": "human", "value": "Suppose -3*i + 594 = 2*i - 2*v, -2*v = 5*i - 606. What are the prime factors of i?" }, { "from": "gpt", "value": "2, 3, 5" } ]
[ { "from": "human", "value": "What is the s'th term of -917, -1826, -2735, -3644, -4553?" }, { "from": "gpt", "value": "-909*s - 8" } ]
[ { "from": "human", "value": "Solve 2*t = 12 - 20 for t." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is next in 39, 42, 57, 90, 147?" }, { "from": "gpt", "value": "234" } ]
[ { "from": "human", "value": "Solve -112*s - 899 = -10*s - 185 for s." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let d be (-8)/3 + 2/(-6). Let q(s) = -5*s**3 - 7*s**2 - 7. Let x(f) = -11*f**2 + 2*f**3 + 29*f**2 + 3 - 15*f**2. Calculate d*q(b) - 7*x(b)." }, { "from": "gpt", "value": "b**3" } ]