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math

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[ { "from": "human", "value": "Rearrange 2*m - 3*m - 9*m to n*m + f and give n." }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Suppose -16 = -4*f + c, 3*c = f + 2 - 6. Suppose -2*p = -2*j - p - 10, -f*j - 4*p = 44. Let w(n) = n + 12. What is the units digit of w(j)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let h = 6 + -7. Let w = -120 - -963/8. Which is smaller: h or w?" }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "Calculate -534 divided by -3." }, { "from": "gpt", "value": "178" } ]
[ { "from": "human", "value": "Let f(n) = 6*n - 15. Let u(w) = w - 1. Let s(c) = 6 - c. Let b(v) = s(v) - 2*u(v). Let q(t) = -11*b(t) - 6*f(t). Find the first derivative of q(d) wrt d." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 4, what is 1 + -1020?" }, { "from": "gpt", "value": "-1013" } ]
[ { "from": "human", "value": "Is 371 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the greatest common factor of 481338 and 75735?" }, { "from": "gpt", "value": "1683" } ]
[ { "from": "human", "value": "What is 339 plus 4?" }, { "from": "gpt", "value": "343" } ]
[ { "from": "human", "value": "Let x(d) = -d. Let i(q) = -12*q**2 + 8*q + 10. Let t(o) = -i(o) - 8*x(o). Differentiate t(s) wrt s." }, { "from": "gpt", "value": "24*s" } ]
[ { "from": "human", "value": "What is the fourth smallest value in 2/13, -2, -4, -113?" }, { "from": "gpt", "value": "2/13" } ]
[ { "from": "human", "value": "What is the second biggest value in 444, 5, 1.2?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 1 and 115." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the next term in 58, 122, 186, 250, 314, 378?" }, { "from": "gpt", "value": "442" } ]
[ { "from": "human", "value": "What is the third smallest value in -1, 44, 1/2?" }, { "from": "gpt", "value": "44" } ]
[ { "from": "human", "value": "Simplify (4 + sqrt(1872) + -3*(-1 + sqrt(1872)))**2." }, { "from": "gpt", "value": "7537 - 336*sqrt(13)" } ]
[ { "from": "human", "value": "What is the h'th term of 30, 45, 60?" }, { "from": "gpt", "value": "15*h + 15" } ]
[ { "from": "human", "value": "What is the m'th term of -377, -378, -379, -380?" }, { "from": "gpt", "value": "-m - 376" } ]
[ { "from": "human", "value": "What is 8613 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "93" } ]
[ { "from": "human", "value": "Suppose 5*n + 0*r + 12 = 3*r, -4*n = -4*r + 16. Solve n*k - 3*w = k + 4, 3*k = -3*w - 12 for k." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Sort -3, 2, 11 in increasing order." }, { "from": "gpt", "value": "-3, 2, 11" } ]
[ { "from": "human", "value": "Let v be ((-2)/1 - -2) + 9. Suppose -q - v = -2*q. Suppose -3*a = 2*i + 11 - 2, 0 = i + 3*a + q. Solve i = 4*y - 5*y - 5 for y." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the derivative of -6*s**2*u**2 - 4*s**2*u - 2*s**2 - 3*s*u + 12688*u**2 wrt s?" }, { "from": "gpt", "value": "-12*s*u**2 - 8*s*u - 4*s - 3*u" } ]
[ { "from": "human", "value": "Let k(n) = n**3 + 3*n**2. Let d(o) = -o**2 + 9*o + 7. Let t be d(10). Let w be k(t). Suppose -3*a + 180 = -w*a. What is the greatest common factor of 12 and a?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Let u(m) = 5*m + 26. Let t be u(0). Is t > 26?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the square root of 15331 to the nearest integer?" }, { "from": "gpt", "value": "124" } ]
[ { "from": "human", "value": "Find the second derivative of f**5*j - 2*f**5 - f**2*j + 44*f*j + 3*f wrt f." }, { "from": "gpt", "value": "20*f**3*j - 40*f**3 - 2*j" } ]
[ { "from": "human", "value": "Factor 20*a**3 + 598*a**2 - 1340*a + 128." }, { "from": "gpt", "value": "2*(a - 2)*(a + 32)*(10*a - 1)" } ]
[ { "from": "human", "value": "Divide 6 by -7473." }, { "from": "gpt", "value": "-2/2491" } ]
[ { "from": "human", "value": "Solve -d = p, 0 = 3*p - 46*d + 43*d + 18 for p." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the h'th term of 69, 283, 639, 1137, 1777, 2559, 3483?" }, { "from": "gpt", "value": "71*h**2 + h - 3" } ]
[ { "from": "human", "value": "What is the next term in 45, 99, 145, 177, 189?" }, { "from": "gpt", "value": "175" } ]
[ { "from": "human", "value": "Find the common denominator of -4/1001 and ((-4)/18)/((-4)/3)*(-151533)/(-15645)." }, { "from": "gpt", "value": "10010" } ]
[ { "from": "human", "value": "What is the next term in -29, -46, -63, -80?" }, { "from": "gpt", "value": "-97" } ]
[ { "from": "human", "value": "Let n = -304/5 - -61. What is the third biggest value in n, -3, 2.1?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve -m - 114 = 56*m for m." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Simplify sqrt(70)/(sqrt(70)/sqrt(7) + sqrt(10)) + 3." }, { "from": "gpt", "value": "sqrt(7)/2 + 3" } ]
[ { "from": "human", "value": "Let r = 3.12 + 0.88. What is the closest to 0.3 in -2, 0, r?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 11552 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let u(p) = 30*p - 1. Let b(x) = 6 - x. Let y be b(5). What is the remainder when u(y) is divided by 10?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Which is smaller: 10 or 17?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is prob of picking 1 a, 1 y and 1 i when three letters picked without replacement from {i: 3, y: 3, a: 1, p: 3, j: 1}?" }, { "from": "gpt", "value": "3/55" } ]
[ { "from": "human", "value": "Work out -3 * 17." }, { "from": "gpt", "value": "-51" } ]
[ { "from": "human", "value": "Let n(r) be the third derivative of -r**6/120 - r**5/5 - 3*r**4/8 + 5*r**3/2 + 2*r**2. Let y be n(-11). Let q(f) = -2*f - 10. What is the units digit of q(y)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve v + 45 = 10*v for v." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Divide -332 by 4." }, { "from": "gpt", "value": "-83" } ]
[ { "from": "human", "value": "Let a = 0.1 - 1.1. Let h = -0.4 - a. Let q = -0.7 + h. What is the nearest to q in 1, -0.3, -3?" }, { "from": "gpt", "value": "-0.3" } ]
[ { "from": "human", "value": "What is the value of 18/33 - 3906/(-462)?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Is 1681777 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let m(l) be the second derivative of -l**5/20 + 5*l**3 + 5*l**2/2 + 53*l. Differentiate m(b) wrt b." }, { "from": "gpt", "value": "30 - 3*b**2" } ]
[ { "from": "human", "value": "Let i = -7 + 12. Solve -10 = 4*m - 2*f, -i*m - 4*f = -7*f + 13 for m." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Find the common denominator of 83/82 and (4/(-40))/(1968/630)." }, { "from": "gpt", "value": "656" } ]
[ { "from": "human", "value": "Let y be 8 + 9/(3/(-1)). Suppose -y*k - s = -120, -k - 3*s + 33 = -s. What is the remainder when k is divided by 8?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let n = 15 - 15.7. Let k = n - -0.6. Which is the nearest to k? (a) 3 (b) -5 (c) -0.2" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Do 2 and 35/11 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let v = 10 - -11. What is the remainder when 59 is divided by v?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "What is the value of (1 + -5 - (8 + -7)) + 6?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Find the common denominator of 38/1215 and -52/2187." }, { "from": "gpt", "value": "10935" } ]
[ { "from": "human", "value": "What are the prime factors of 6733188?" }, { "from": "gpt", "value": "2, 3, 7, 11, 347" } ]
[ { "from": "human", "value": "Let s(b) = 16 - b. Let i(d) = 31 - 2*d. Let t(v) = -3*i(v) + 7*s(v). Let l be t(15). Suppose -515*z + 469*z = -92. Solve -z*o - l = 6 for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is -7.77 minus -0.5?" }, { "from": "gpt", "value": "-7.27" } ]
[ { "from": "human", "value": "Solve -7 = 4*i - h, 4*i = 5*h + 1 - 20 for i." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 2063 take away 74?" }, { "from": "gpt", "value": "1989" } ]
[ { "from": "human", "value": "In base 9, what is 15340 - 1?" }, { "from": "gpt", "value": "15338" } ]
[ { "from": "human", "value": "Let a(b) be the first derivative of -6 + 0*b + b**3 + 2*b + 1 - 5*b. Let a(v) = 0. Calculate v." }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "What is the hundreds digit of 167188?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let z(q) be the third derivative of 0*q**3 + 0*q**4 - 1/15*q**5 + 0 - 1/12*q**6 + 0*q - 1/168*q**8 - 4/105*q**7 + q**2. Factor z(y)." }, { "from": "gpt", "value": "-2*y**2*(y + 1)**2*(y + 2)" } ]
[ { "from": "human", "value": "What is the w'th term of -154, -323, -490, -655, -818?" }, { "from": "gpt", "value": "w**2 - 172*w + 17" } ]
[ { "from": "human", "value": "Let n be (-39)/(-15) + 2/5. Suppose -3*l + 0*l = 4*b + 14, -n*l - b = 17. Let w be 6/8*(-4)/l. Which is greater: 0.3 or w?" }, { "from": "gpt", "value": "w" } ]
[ { "from": "human", "value": "What is the c'th term of -9, -11, -9, -3, 7, 21?" }, { "from": "gpt", "value": "2*c**2 - 8*c - 3" } ]
[ { "from": "human", "value": "Is 530 a factor of 259715370?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 161.6 (b) -2 (c) -4 (d) 1/5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is ((-3)/9)/(14/(-63))?" }, { "from": "gpt", "value": "3/2" } ]
[ { "from": "human", "value": "Multiply -0.2 and -0.1687." }, { "from": "gpt", "value": "0.03374" } ]
[ { "from": "human", "value": "Which is the nearest to 2/15? (a) -5 (b) 103 (c) -0.1 (d) 1/11" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Which is the fifth biggest value? (a) -1 (b) 2 (c) 4 (d) -15 (e) 5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let g be (4/(-138))/((-8)/12). Let s = -20/69 - g. Is s greater than 2/3?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is 253 a multiple of 23?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-1a (base 15) to base 9" }, { "from": "gpt", "value": "-27" } ]
[ { "from": "human", "value": "What is -0.00372 rounded to 4 decimal places?" }, { "from": "gpt", "value": "-0.0037" } ]
[ { "from": "human", "value": "What is 30/7 of a week in minutes?" }, { "from": "gpt", "value": "43200" } ]
[ { "from": "human", "value": "What is the third derivative of -1774301*r**4 - 14*r**3 - 135*r**2 - 174595*r?" }, { "from": "gpt", "value": "-42583224*r - 84" } ]
[ { "from": "human", "value": "Expand (0*h + h**3 + 0*h)*(3*h - 4*h - h)*(-4 - 776*h + 787*h + 3)." }, { "from": "gpt", "value": "-22*h**5 + 2*h**4" } ]
[ { "from": "human", "value": "What is 152 minutes before 4:42 PM?" }, { "from": "gpt", "value": "2:10 PM" } ]
[ { "from": "human", "value": "Calculate the remainder when 1125 is divided by 1123." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Put -1/2, -0.151, 1, 3, 2/7 in ascending order." }, { "from": "gpt", "value": "-1/2, -0.151, 2/7, 1, 3" } ]
[ { "from": "human", "value": "Work out -0.5 + 22.15796." }, { "from": "gpt", "value": "21.65796" } ]
[ { "from": "human", "value": "Let q(k) be the first derivative of -k**7/1155 - k**6/330 - k**5/330 - 7*k**2/2 - 1. Let j(m) be the second derivative of q(m). Let j(l) = 0. What is l?" }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Let r = -5 + 2. Let n be (-30)/(-8) - r/12. Solve -q + 2*q = n for q." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Is 1/4854 less than 1/4?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate -4 - (0 - -2 - (4 - -5))." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose -2*d - 3 = -3*d. Solve -c + 5 = d for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the next term in 48, 96, 140, 180, 216?" }, { "from": "gpt", "value": "248" } ]
[ { "from": "human", "value": "What is 352 divided by 88?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let s be (-3)/(42/4) - 17072/28. What is s rounded to the nearest one thousand?" }, { "from": "gpt", "value": "-1000.0" } ]
[ { "from": "human", "value": "In base 7, what is 4 + 1214?" }, { "from": "gpt", "value": "1221" } ]
[ { "from": "human", "value": "In base 8, what is -377733 - 4?" }, { "from": "gpt", "value": "-377737" } ]
[ { "from": "human", "value": "Let r(w) = 6*w**3 - 2*w + 9. Let x(n) = -4*n - 1 + 2 + 3*n**3 + 3 + 3*n. Let i(l) = 4*r(l) - 9*x(l). Find the second derivative of i(b) wrt b." }, { "from": "gpt", "value": "-18*b" } ]
[ { "from": "human", "value": "Suppose -5*j - 3*p + 80 = -p, -5*j + 65 = -p. What is the greatest common divisor of 28 and j?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Evaluate (-2)/45*(-70)/(-7)*3." }, { "from": "gpt", "value": "-4/3" } ]