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math

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[ { "from": "human", "value": "Let n(t) = -6*t**3 + 5*t**2 + 2*t. Let p(q) = 5*q**3 - 4*q**2 - 2*q. Let f = -16 - -21. Calculate f*p(u) + 4*n(u)." }, { "from": "gpt", "value": "u**3 - 2*u" } ]
[ { "from": "human", "value": "Is 1104 > 1106?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many grams are there in 1/5 of a kilogram?" }, { "from": "gpt", "value": "200" } ]
[ { "from": "human", "value": "Which is greater: -14577288 or -131195584/9?" }, { "from": "gpt", "value": "-131195584/9" } ]
[ { "from": "human", "value": "Let l(f) = -f**3 + f**2 + 6*f + 4. Calculate the remainder when 6 is divided by l(3)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is b in 4*b**4 - 12724*b**3/3 - 295964*b**2/3 + 501212*b - 155952 = 0?" }, { "from": "gpt", "value": "-27, 1/3, 4, 1083" } ]
[ { "from": "human", "value": "What is the o'th term of 6663, 6655, 6643, 6627, 6607, 6583?" }, { "from": "gpt", "value": "-2*o**2 - 2*o + 6667" } ]
[ { "from": "human", "value": "What is the o'th term of -3662, -3657, -3652, -3647, -3642, -3637?" }, { "from": "gpt", "value": "5*o - 3667" } ]
[ { "from": "human", "value": "Suppose 24 = -0*h + 3*h. Let f(x) = x - 7. Let i be f(h). Let k be i/(2/(-6))*-7. Calculate the greatest common divisor of 3 and k." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "(4/(-6))/(16/(-24))" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let k = -7 + 2. Let m be 3/(-12) + 15/156. Which is the closest to 1? (a) m (b) k (c) 3" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let -8*v**5/15 - 98*v**4/15 - 64*v**3/3 - 82*v**2/3 - 212*v/15 - 32/15 = 0. Calculate v." }, { "from": "gpt", "value": "-8, -2, -1, -1/4" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 242 and 11?" }, { "from": "gpt", "value": "242" } ]
[ { "from": "human", "value": "What is the tens digit of 472?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "-1*-9*(-7)/63" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the next term in -10, -13, -24, -49, -94, -165, -268?" }, { "from": "gpt", "value": "-409" } ]
[ { "from": "human", "value": "Is 12 a factor of (33 - 0/2) + 3?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let c(h) = -43*h**3 - 2*h**2 + 2*h + 2. Let l(m) = 6750*m**3 + 315*m**2 - 315*m - 315. Give -315*c(v) - 2*l(v)." }, { "from": "gpt", "value": "45*v**3" } ]
[ { "from": "human", "value": "Let w = -10 + 8. Let q(b) = b**3 - 5*b**2 + b - 4. Let c be q(5). Let t be -4 + c - (0 + -2). Sort t, w, 5 in descending order." }, { "from": "gpt", "value": "5, t, w" } ]
[ { "from": "human", "value": "Let a(z) = -7*z - 3. Let w(h) = 22*h + 9. Let l(o) = -7*a(o) - 2*w(o). Let f be l(8). Let s = f - -42. Is s a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate 0.4*-284." }, { "from": "gpt", "value": "-113.6" } ]
[ { "from": "human", "value": "Let q = -1805 - -37948/21. Calculate the common denominator of q and -101/48." }, { "from": "gpt", "value": "336" } ]
[ { "from": "human", "value": "Let d = 4 - -1. Let i = d + -4. Let x = -1.9 + 2. Is x at most i?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let i be 4 - (3 - 1) - 2. Suppose 4*d - 33 - 55 = i. Let m = 4 - -8. Solve 0 = -4*g + m, -g = -0*x + 5*x + d for x." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let a be 5*(1 - 2)*30/(-25). Sort a, 0, -5." }, { "from": "gpt", "value": "-5, 0, a" } ]
[ { "from": "human", "value": "What is the next term in -319, -326, -337, -352, -371, -394, -421?" }, { "from": "gpt", "value": "-452" } ]
[ { "from": "human", "value": "What is the common denominator of 11/40 and -53/8736?" }, { "from": "gpt", "value": "43680" } ]
[ { "from": "human", "value": "Let p(h) be the first derivative of -2*h**3/39 - h**2/13 + 4*h/13 + 26. What is j in p(j) = 0?" }, { "from": "gpt", "value": "-2, 1" } ]
[ { "from": "human", "value": "Let o be 100/(-2) + (-2 - 1). Let r = 78 + o. What is the greatest common factor of r and 10?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 50 = 3*c - w, 2*c + 6 = -2*w + 50. Calculate the greatest common factor of c and 72." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Is 15522 at most as big as 15523?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 5*x + 0*g - 257 = -3*g, -3*g = 2*x - 101. Suppose -o - 3*o = -x. Calculate the greatest common factor of 26 and o." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Suppose -2*y = 3*y + 35. Let t = y + 6. Suppose 6*p = 8*p. Put 1/2, t, p in descending order." }, { "from": "gpt", "value": "1/2, p, t" } ]
[ { "from": "human", "value": "Let -8*l**2 + 4/3*l**3 + 32/3 + 4/3*l**4 - 16/3*l = 0. What is l?" }, { "from": "gpt", "value": "-2, 1, 2" } ]
[ { "from": "human", "value": "What is the cube root of 1242 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is 0.00077462 rounded to 6 decimal places?" }, { "from": "gpt", "value": "0.000775" } ]
[ { "from": "human", "value": "Simplify (sqrt(133)/sqrt(28))**2*3." }, { "from": "gpt", "value": "57/4" } ]
[ { "from": "human", "value": "What is the remainder when 42 is divided by 9?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Sort 14, 19, -4, -2, 3 in descending order." }, { "from": "gpt", "value": "19, 14, 3, -2, -4" } ]
[ { "from": "human", "value": "Let z = 3.8 - 0.8. Let y = -2.6 + z. Which is the second biggest value? (a) -5 (b) 2/7 (c) y" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is 320 (base 4) in base 2?" }, { "from": "gpt", "value": "111000" } ]
[ { "from": "human", "value": "What is the ninth root of 117 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Divide 4 by -47." }, { "from": "gpt", "value": "-4/47" } ]
[ { "from": "human", "value": "What is -c (base 16) in base 9?" }, { "from": "gpt", "value": "-13" } ]
[ { "from": "human", "value": "Let y = 35 + 59. Is y a multiple of 11?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor -4/3*x**3 + 2/3*x**2 + 4/3*x - 2/3." }, { "from": "gpt", "value": "-2*(x - 1)*(x + 1)*(2*x - 1)/3" } ]
[ { "from": "human", "value": "What is the third derivative of 16*i**5 + 26*i**2 - 39*i**2 + 12*i**2 wrt i?" }, { "from": "gpt", "value": "960*i**2" } ]
[ { "from": "human", "value": "Collect the terms in 15*o + 16*o - 53*o + 21*o - 31." }, { "from": "gpt", "value": "-o - 31" } ]
[ { "from": "human", "value": "Suppose 175 = -0*x + 7*x. Solve g = -0*a + a - 5, x = 3*g + 5*a for g." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let z = 91.3 - 91.819. Let c = 0.45 + z. What is c rounded to two decimal places?" }, { "from": "gpt", "value": "-0.07" } ]
[ { "from": "human", "value": "Is 1060 a multiple of 20?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 4*h - 7 - 5 = 0. Suppose -2*n = -2*c - 8, -h*n + c + 4 = -n. Solve 5 + n = 5*r for r." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 462 at most 466?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "4 + -6 - (12 + -17)" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let i = -68 - -161. Is i a multiple of 15?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let s = -23 + 13. Let n = s + 15. Let k = n + -2. Solve f - 8 = -k for f." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the second smallest value in 53, 0.5, -4?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "How many minutes are there between 3:15 PM and 12:24 AM?" }, { "from": "gpt", "value": "549" } ]
[ { "from": "human", "value": "Suppose 0 = 4*s + f - 130, -4*s + 104 = -s + 4*f. What is the remainder when s is divided by -3 - 9/((-9)/10)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate ((-348)/1218)/(2/217)." }, { "from": "gpt", "value": "-31" } ]
[ { "from": "human", "value": "Solve 24*p + 0*p - 168 = 0 for p." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "In base 3, what is 201202 + -2?" }, { "from": "gpt", "value": "201200" } ]
[ { "from": "human", "value": "What is 857 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 3*j = 2*y - 175, 3*y + 46 + 159 = -4*j. Let l = -35 - j. Let g(f) = f**3 - 6*f**2 + 11*f - 7. Let u be g(4). Solve x - u*x = -l for x." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let z(x) = x**2 - 3*x + 3. Let d(g) = 1 - g. Suppose 4*u + 5 = 3*f - u, 2*f + u - 12 = 0. Suppose 0 = 5*l - f - 30. Let t be 1*2*(0 + -1). Give l*d(r) + t*z(r)." }, { "from": "gpt", "value": "-2*r**2 - r + 1" } ]
[ { "from": "human", "value": "Solve -d = -3*d + 10 for d." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Convert 0 (base 14) to base 16." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let g be -2 - (3 - 3)/4. Let c(u) = u**4 - u**3 - u**2 - u. Let m(v) = 2*v**5 - 8*v**4 + 16*v**3 - 16*v**2 + 2*v. Let b(z) = g*c(z) + m(z). Factor b(x)." }, { "from": "gpt", "value": "2*x*(x - 2)*(x - 1)**3" } ]
[ { "from": "human", "value": "What is 587 minutes after 5:33 AM?" }, { "from": "gpt", "value": "3:20 PM" } ]
[ { "from": "human", "value": "Let z(n) = -3*n - 9*n**2 + 0*n - 6 + 2*n - 8*n + n**3. Let t be z(10). Suppose 4*q - v - 19 = 0, -27 = -2*q - t*v + 5. Solve -q*k + 2*k - 20 = 0 for k." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the second biggest value in 0.3, 1, -1/3, -0.035?" }, { "from": "gpt", "value": "0.3" } ]
[ { "from": "human", "value": "Solve 2*n - 5 = -5*b, -5*b + 6 = -n - 14 for n." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let m(y) = 2*y + 1. Let d be m(2). Solve 3*p - 6*p = d*n - 25, 5*p - 2*n = 21 for p." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "In base 10, what is 2 + 40?" }, { "from": "gpt", "value": "42" } ]
[ { "from": "human", "value": "Three letters picked without replacement from bxmqmii. What is prob of picking 1 x, 1 b and 1 m?" }, { "from": "gpt", "value": "2/35" } ]
[ { "from": "human", "value": "What is -100 (base 3) in base 5?" }, { "from": "gpt", "value": "-14" } ]
[ { "from": "human", "value": "What is the product of -0.11 and -4.1?" }, { "from": "gpt", "value": "0.451" } ]
[ { "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": "Let s(l) = 2*l**2 - 3*l + 3. Let i be s(2). Suppose -7*t + 5*c = -2*t, -t = 4*c - 20. Let a = -10 - -15. Solve t*k + i*n = -a, n = -2*n - 15 for k." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Simplify (-4 + sqrt(152)/(sqrt(32)/sqrt(4)))**2." }, { "from": "gpt", "value": "35 - 8*sqrt(19)" } ]
[ { "from": "human", "value": "What is the a'th term of -22, -58, -96, -136?" }, { "from": "gpt", "value": "-a**2 - 33*a + 12" } ]
[ { "from": "human", "value": "Calculate prob of picking 1 n and 1 d when two letters picked without replacement from lnnplppndnl." }, { "from": "gpt", "value": "4/55" } ]
[ { "from": "human", "value": "What is 481 minutes before 7:18 PM?" }, { "from": "gpt", "value": "11:17 AM" } ]
[ { "from": "human", "value": "Is 90 a multiple of 30?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let m(d) = -13*d - 9. Let b be 83/9 + (-2)/9. Let t(g) = -3*g - 2. Let k(u) = b*t(u) - 2*m(u). Let z(j) be the first derivative of j**2 - 6. Calculate z(k(l))." }, { "from": "gpt", "value": "-2*l" } ]
[ { "from": "human", "value": "What is 109 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve g + 3*z + 23 = -3*g, 0 = -3*z - 3 for g." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Sort -0.03, -2/25, 6, 2/5 in ascending order." }, { "from": "gpt", "value": "-2/25, -0.03, 2/5, 6" } ]
[ { "from": "human", "value": "Let g = 71 + -353/5. Factor 4/5*l**3 + g*l**2 + 0*l + 0." }, { "from": "gpt", "value": "2*l**2*(2*l + 1)/5" } ]
[ { "from": "human", "value": "Express (x - 2*x - x)*(1 + 5 - 2) - 246 - 43*x + 246 in the form w*x + o and give w." }, { "from": "gpt", "value": "-51" } ]
[ { "from": "human", "value": "Is 4 a factor of 124?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the greatest common factor of 160 and 11560?" }, { "from": "gpt", "value": "40" } ]
[ { "from": "human", "value": "Let k = -8 + 13. Suppose -k*i = 8 + 7. Let p be (-1 + 6)*i/(-5). Solve 0 = -2*m + 10 - 0, p*o + 4*m - 32 = 0 for o." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 663 minutes before 1:26 AM?" }, { "from": "gpt", "value": "2:23 PM" } ]
[ { "from": "human", "value": "Let j(x) be the first derivative of -x**5/80 - x**4/16 - x**3/12 - 3*x + 1. Let c(v) be the first derivative of j(v). Let c(t) = 0. What is t?" }, { "from": "gpt", "value": "-2, -1, 0" } ]
[ { "from": "human", "value": "What comes next: 17, 52, 107, 182, 277?" }, { "from": "gpt", "value": "392" } ]
[ { "from": "human", "value": "Let m = -2.5 + 3. Let z = -10984/7 + 1569. Which is the fourth biggest value? (a) -0.1 (b) m (c) -2/17 (d) z" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Solve 3637 = 4*g + 3665 for g." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Collect the terms in -18*l**2 - 34*l**2 + 237*l**2." }, { "from": "gpt", "value": "185*l**2" } ]
[ { "from": "human", "value": "Collect the terms in w - 1 - 3*w - w + 1." }, { "from": "gpt", "value": "-3*w" } ]