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math

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[ { "from": "human", "value": "Let m(c) = c + 1. Let o(q) = -3*q - 16. Let b(n) = -m(n) - o(n). What are the prime factors of b(0)?" }, { "from": "gpt", "value": "3, 5" } ]
[ { "from": "human", "value": "In base 14, what is -4 - 11?" }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "Let g be (-6)/(-16) + 0 - 85/(-8). Let s(w) = 3*w - 4. Let k be (-17)/(-3) + (-4)/6. Let o be s(k). Calculate the greatest common divisor of g and o." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Simplify 5*(sqrt(1872)*2 + 3 - sqrt(1872))." }, { "from": "gpt", "value": "15 + 60*sqrt(13)" } ]
[ { "from": "human", "value": "What is the nearest to 0 in 0.21, -0.1, 3/8, 3?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "What is 0.7765973km in micrometers?" }, { "from": "gpt", "value": "776597300" } ]
[ { "from": "human", "value": "Let l be -1*1 - (-14 + 11). Let z be 6 - (l + -11)/(-3). Solve 2*s = 5*i - 12 - z, i - 30 = -5*s for i." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Which is bigger: -6/1381 or 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let n(v) = -2*v**3 + v**2 - v + 1. Let h be n(1). Put 3, 5, h in descending order." }, { "from": "gpt", "value": "5, 3, h" } ]
[ { "from": "human", "value": "Convert -21020020 (base 4) to base 14." }, { "from": "gpt", "value": "-d8a4" } ]
[ { "from": "human", "value": "Suppose 138*b - 144*b = 30. Let v(c) = c + 6. Let m(d) be the third derivative of -d**4/24 - 7*d**3/6 - d**2. Let z(i) = -4*m(i) - 5*v(i). Give z(b)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the third root of 15371 to the nearest integer?" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "What is -76 divided by 4?" }, { "from": "gpt", "value": "-19" } ]
[ { "from": "human", "value": "In base 2, what is 10100011101 + 0?" }, { "from": "gpt", "value": "10100011101" } ]
[ { "from": "human", "value": "Simplify sqrt(19) + sqrt(684) + sqrt(684)*-1 + 4." }, { "from": "gpt", "value": "4 + sqrt(19)" } ]
[ { "from": "human", "value": "Let f(p) = 4 - p. Let b be f(1). Suppose -h + b*h + 0*h = 0. Which is greater: h or 9/11?" }, { "from": "gpt", "value": "9/11" } ]
[ { "from": "human", "value": "Divide 1428 by 2." }, { "from": "gpt", "value": "714" } ]
[ { "from": "human", "value": "What is 17/2 of a litre in millilitres?" }, { "from": "gpt", "value": "8500" } ]
[ { "from": "human", "value": "Solve 6*g - 56 + 74 = 0 for g." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the m'th term of -4688, -9392, -14110, -18848, -23612?" }, { "from": "gpt", "value": "-m**3 - m**2 - 4694*m + 8" } ]
[ { "from": "human", "value": "Let f(m) = -4 + 3*m + 4 + 4*m. Let t(q) = -q - 5*q + 4*q - 6*q. Calculate -7*f(g) - 6*t(g)." }, { "from": "gpt", "value": "-g" } ]
[ { "from": "human", "value": "Which is the nearest to 4? (a) 0.5 (b) 0.44 (c) -2/5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Factor -2*s**2/11 + 8*s/11 + 42/11." }, { "from": "gpt", "value": "-2*(s - 7)*(s + 3)/11" } ]
[ { "from": "human", "value": "What is the next term in 29, 41, 53, 65, 77?" }, { "from": "gpt", "value": "89" } ]
[ { "from": "human", "value": "2.17 times -3" }, { "from": "gpt", "value": "-6.51" } ]
[ { "from": "human", "value": "List the prime factors of 1060." }, { "from": "gpt", "value": "2, 5, 53" } ]
[ { "from": "human", "value": "Let t be 3*(-4)/(-3) + -1. Suppose t*w = 3*p - 21, -5*p - 2*w + 48 + 22 = 0. What are the prime factors of p?" }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "What is the third smallest value in 2/9, 7/5, -0.4, 5, 29?" }, { "from": "gpt", "value": "7/5" } ]
[ { "from": "human", "value": "What is the u'th term of -451, -918, -1387, -1858?" }, { "from": "gpt", "value": "-u**2 - 464*u + 14" } ]
[ { "from": "human", "value": "Calculate 56 divided by 28." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (-6*sqrt(44)*2 - (sqrt(44) - -2*sqrt(44))*-2)**2." }, { "from": "gpt", "value": "1584" } ]
[ { "from": "human", "value": "What is 581 minutes before 7:56 AM?" }, { "from": "gpt", "value": "10:15 PM" } ]
[ { "from": "human", "value": "What is next in 802, 967, 1242, 1627, 2122?" }, { "from": "gpt", "value": "2727" } ]
[ { "from": "human", "value": "Which is smaller: 0 or 24/23?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the remainder when 928 is divided by 364?" }, { "from": "gpt", "value": "200" } ]
[ { "from": "human", "value": "What is 106 divided by -3?" }, { "from": "gpt", "value": "-106/3" } ]
[ { "from": "human", "value": "Solve -105 = -49*l + 14*l for l." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the first derivative of -18*i**3 - 5*i**2 - 119 wrt i?" }, { "from": "gpt", "value": "-54*i**2 - 10*i" } ]
[ { "from": "human", "value": "36 + (40 + 25 - 150)" }, { "from": "gpt", "value": "-49" } ]
[ { "from": "human", "value": "Suppose -u - 2*u = 0. Let m = 6 - u. Solve k = m - 1 for k." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Determine l, given that -507*l**4/4 + 3003*l**3 - 17319*l**2 - 5544*l - 432 = 0." }, { "from": "gpt", "value": "-2/13, 12" } ]
[ { "from": "human", "value": "Is 32 a factor of 3190?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the cube root of 8315 to the nearest integer?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "What is 625 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "Let n(l) = l**2 - 4*l + 3. Let r be n(7). Let g be (r/21 + 0)/1. Is 1 less than g?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Work out 0.147 * -1.8." }, { "from": "gpt", "value": "-0.2646" } ]
[ { "from": "human", "value": "What is the common denominator of -34/9 and 56/531?" }, { "from": "gpt", "value": "531" } ]
[ { "from": "human", "value": "Add -0.02452 and 252." }, { "from": "gpt", "value": "251.97548" } ]
[ { "from": "human", "value": "Evaluate (-3 - -1) + -2 + 4." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let i be (-4)/(-14)*(-7)/(-33). Let u = 37/66 - i. Let w be (-40)/385 + (-6)/(-21). Which is the closest to w? (a) -5 (b) -0.4 (c) u" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Solve -3*l + 4*d - 23 = 0, -3*l + 6*l = -2*d + 7 for l." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose 3*n + 3 = -w - 2, 4*w = -2*n + 10. Suppose -3*y + 4*y + w = -4*p, -3*p - 3*y - 12 = 0. Solve -1/3*l**2 - 1/3*l + p = 0 for l." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "What is the third derivative of -f**3*q**3 - 3*f**3*q - 24*f**2*q**2 - 19*q**6 + 2 wrt q?" }, { "from": "gpt", "value": "-6*f**3 - 2280*q**3" } ]
[ { "from": "human", "value": "Let r = -3.4 - -0.4. Let i = r + 0. Put 1, -1/4, i in ascending order." }, { "from": "gpt", "value": "i, -1/4, 1" } ]
[ { "from": "human", "value": "Let d = -20 - -14. Let j be ((-3)/d)/((-3)/(-18)). Factor -j*k**2 - k**4 - 3*k**2 - 4*k**3 - k + 1 - 2 - 3*k." }, { "from": "gpt", "value": "-(k + 1)**4" } ]
[ { "from": "human", "value": "Let p = -6 + 3. Let d be 3 + p/(-1) + -2. Let u(k) = k**2 + 5*k + 6. Let c be u(-4). Solve -l + c = d for l." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve 0 = -52*i - 4*i + 6*i for i." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let t be ((-5)/(-2))/(-5)*19/(-38). Sort -1, -3, -0.1, t." }, { "from": "gpt", "value": "-3, -1, -0.1, t" } ]
[ { "from": "human", "value": "How many milligrams are there in 61717.1 tonnes?" }, { "from": "gpt", "value": "61717100000000" } ]
[ { "from": "human", "value": "3.23 times 0.011" }, { "from": "gpt", "value": "0.03553" } ]
[ { "from": "human", "value": "What is the square root of 1160 to the nearest integer?" }, { "from": "gpt", "value": "34" } ]
[ { "from": "human", "value": "What is 685 minutes before 12:28 AM?" }, { "from": "gpt", "value": "1:03 PM" } ]
[ { "from": "human", "value": "What is the value of ((-6)/(-4))/(264/(-176))?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Put together -5 and 178." }, { "from": "gpt", "value": "173" } ]
[ { "from": "human", "value": "Let j be -1 + (0 - -2 - -2). Suppose 8 = 4*y - 2*b, 5*y - 2*b + j*b = 3. Let p = 175/424 - 2/53. Which is bigger: y or p?" }, { "from": "gpt", "value": "y" } ]
[ { "from": "human", "value": "Let p = -16 + 172. Suppose w = -2*i + 2, -4*i = 3*w - 7*w - 28. Suppose -3*k - p = -0*n - i*n, -160 = -3*n - k. Is n prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let k(g) = g**2 - 12*g + 12. Let r be k(11). What is the third derivative of -r + 2*b**2 - 3*b**5 + 1 + 4*b**5 wrt b?" }, { "from": "gpt", "value": "60*b**2" } ]
[ { "from": "human", "value": "What is next in -522, -520, -508, -480, -430, -352?" }, { "from": "gpt", "value": "-240" } ]
[ { "from": "human", "value": "What is -113 - -0.3?" }, { "from": "gpt", "value": "-112.7" } ]
[ { "from": "human", "value": "Let l(w) = w - 1. Let n be l(1). Let h(o) = 2 + o + 2 + 2. What is the units digit of h(n)?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let 20*z**3/7 + 656*z**2/7 + 508*z/7 - 128/7 = 0. What is z?" }, { "from": "gpt", "value": "-32, -1, 1/5" } ]
[ { "from": "human", "value": "What is the closest to 2/3 in 2, -1/30, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the closest to -1 in 23, -1, -2/5, -0.3?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 44856 rounded to the nearest 1000?" }, { "from": "gpt", "value": "45000.0" } ]
[ { "from": "human", "value": "Put 3, 14, 1 in descending order." }, { "from": "gpt", "value": "14, 3, 1" } ]
[ { "from": "human", "value": "What is the nearest to 1 in 1/13, -1/3, 1, -3?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Which is the nearest to 2/5? (a) -1/2 (b) -0.03 (c) 1/8" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -3 (b) -1 (c) -0.1 (d) 17/3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "(-2)/15 - 14/210" }, { "from": "gpt", "value": "-1/5" } ]
[ { "from": "human", "value": "Let t = 0.11 + -0.91. Let u = t + -0.2. Let z = 0.2 - -0.8. Which is the nearest to u? (a) 2/3 (b) z (c) -2/7" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let m(t) = -t**2 + 7*t + 1. Let u be m(7). Suppose -9 = -2*f - 0*f - l, f = 3*l + u. Solve f = r + 1 for r." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the third derivative of -14*q**6 + q**5 + q**4*z + 18*q**2*z + 8*q*z wrt q?" }, { "from": "gpt", "value": "-1680*q**3 + 60*q**2 + 24*q*z" } ]
[ { "from": "human", "value": "What is 371 minutes after 7:39 PM?" }, { "from": "gpt", "value": "1:50 AM" } ]
[ { "from": "human", "value": "Find the first derivative of 734*q**2 - 2338." }, { "from": "gpt", "value": "1468*q" } ]
[ { "from": "human", "value": "Let p(w) = w**3 + w**2 - 3*w. Let m be p(-2). Suppose -n - m - 8 = 0. Let u be (-15)/(-2)*(-8)/n. Solve u = -7*j + 4*j for j." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let w(d) be the third derivative of -d**7/28 + 7*d**6/48 - d**5/8 - 5*d**4/16 + 5*d**3/6 - 15*d**2. Suppose w(u) = 0. What is u?" }, { "from": "gpt", "value": "-2/3, 1" } ]
[ { "from": "human", "value": "Suppose -2*j - 9 = -7*p + 4*p, 4*p = j + 12. Let g(d) = -d**3 - 3*d**2 - d. Let o be g(-3). Suppose -b + j*t = t - 15, o*t - 26 = -2*b. Is 19 a factor of b?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Differentiate 2119*h**2*l + 189*h**2 - h with respect to l." }, { "from": "gpt", "value": "2119*h**2" } ]
[ { "from": "human", "value": "Let g be 6/(-8)*(0 + -4). Suppose g*z + 52 = 6*z - w, w = 4*z - 68. What are the prime factors of z?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let r = 31 + -16. Let u = 12 + -10. Suppose n = 5*l - 43, -u = n + 1. Calculate the remainder when r is divided by l." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is next in 11, 4, -5, -16?" }, { "from": "gpt", "value": "-29" } ]
[ { "from": "human", "value": "What comes next: 11402, 11396, 11400, 11420, 11462, 11532, 11636, 11780?" }, { "from": "gpt", "value": "11970" } ]
[ { "from": "human", "value": "What is 123067 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "351" } ]
[ { "from": "human", "value": "Find o such that -2*o**3/5 + 36*o**2/5 = 0." }, { "from": "gpt", "value": "0, 18" } ]
[ { "from": "human", "value": "Divide -341 by -16." }, { "from": "gpt", "value": "341/16" } ]
[ { "from": "human", "value": "Let h(m) = 2*m + 3. Let g be h(5). Suppose 4*c - 4*b = -c + g, 2*b = -c - 3. Let w(f) = -2*f**3 + f**2 + f + 1. Let t be w(-1). Is t less than or equal to c?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let b = 12 + -7. Suppose b*y - 36 = y. Suppose -3*i = -12, 0*p - 4 = 4*p - 5*i. Solve g + 2*j = -y, 2*j - 18 = 4*g + p*j for g." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Convert 20 (base 9) to base 10." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Let i = -3 + 40. Suppose 0 = -3*n + 4*b + i, 2*b = 2*n - b - 24. What is the greatest common factor of 30 and n?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 210 and 630." }, { "from": "gpt", "value": "630" } ]