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[ { "from": "human", "value": "Let c(d) = -2*d**2 - 12*d + 2. Suppose 7*n - 6*n = -6. Let l be c(n). Solve -3*f - 2 = 2*b - 5*f, -4*f - 2 = -l*b for b." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let t(r) = r**2 + 4*r - 6. Let p be t(-6). Let f(v) = v**3 - 5*v**2 - 3*v + 1. Let m be f(p). Solve -2*l + m = -b + 4*b, 0 = -2*b + 6 for l." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Which is greater: 35 or 36?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "Simplify ((-5 + sqrt(448)*-1 + 3)*-3)**2." }, { "from": "gpt", "value": "288*sqrt(7) + 4068" } ]
[ { "from": "human", "value": "Simplify 3 + (sqrt(275) - (sqrt(275) + -2 + sqrt(275) - sqrt(275))**2) + sqrt(275) + -4." }, { "from": "gpt", "value": "-280 + 30*sqrt(11)" } ]
[ { "from": "human", "value": "Suppose 2*p - p + 22 = 0. Let w = 25 + p. Factor 2/3*q**w - 4/3 + 10/3*q - 8/3*q**2." }, { "from": "gpt", "value": "2*(q - 2)*(q - 1)**2/3" } ]
[ { "from": "human", "value": "Calculate the remainder when 90636 is divided by 2773." }, { "from": "gpt", "value": "1900" } ]
[ { "from": "human", "value": "Calculate -964 divided by -241." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Put 3, 0.616, 2, 0.1 in descending order." }, { "from": "gpt", "value": "3, 2, 0.616, 0.1" } ]
[ { "from": "human", "value": "What is the third root of 625 to the nearest integer?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "What is the smallest common multiple of 157 and 9?" }, { "from": "gpt", "value": "1413" } ]
[ { "from": "human", "value": "Evaluate -2 - (-9 - (2 - 5))." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 39307 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "198" } ]
[ { "from": "human", "value": "What is ninety-three quarters of a litre in millilitres?" }, { "from": "gpt", "value": "23250" } ]
[ { "from": "human", "value": "What is the closest to 1 in 0.2, 5, -3/2, 1.5?" }, { "from": "gpt", "value": "1.5" } ]
[ { "from": "human", "value": "Let p = 0.19 - 0.18. Let b = p + -0.0095. Round b to 4 decimal places." }, { "from": "gpt", "value": "0.0005" } ]
[ { "from": "human", "value": "What is the value of ((-384)/768)/(((-7)/4)/(-1))?" }, { "from": "gpt", "value": "-2/7" } ]
[ { "from": "human", "value": "-3*-1*3/3" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Find the second derivative of 1115*b**5 + 659*b wrt b." }, { "from": "gpt", "value": "22300*b**3" } ]
[ { "from": "human", "value": "Let i = 0.03 + -0.43. Let r = 0.09 - 0.39. What is the third smallest value in 4, i, r?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Determine m, given that 5*m**2 - 11135*m - 11140 = 0." }, { "from": "gpt", "value": "-1, 2228" } ]
[ { "from": "human", "value": "What is the nearest to -2 in -295, -9, -4/3?" }, { "from": "gpt", "value": "-4/3" } ]
[ { "from": "human", "value": "Solve 802 + 263 = -71*y for y." }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "Calculate prob of picking 2 l when two letters picked without replacement from {a: 1, w: 1, e: 3, p: 3, l: 2, y: 1}." }, { "from": "gpt", "value": "1/55" } ]
[ { "from": "human", "value": "What is -60.8349884 minus 0.101147?" }, { "from": "gpt", "value": "-60.9361354" } ]
[ { "from": "human", "value": "What is the eighth root of 71890 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the next term in 5, 6, 9, 14?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "Let z be 6*(3/9 - -2). Solve 4*x = -5*f + 9 + 15, 0 = 2*x - 4*f + z for x." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "-0.05 - 0.32" }, { "from": "gpt", "value": "-0.37" } ]
[ { "from": "human", "value": "What is next in -1237, -1234, -1231, -1228, -1225?" }, { "from": "gpt", "value": "-1222" } ]
[ { "from": "human", "value": "Let z(k) = -2*k**2 - 29. Let i(l) = -l**2. Determine i(z(c))." }, { "from": "gpt", "value": "-4*c**4 - 116*c**2 - 841" } ]
[ { "from": "human", "value": "What is the closest to 46 in 1, 3, 4?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve 3*m - 5*f + 7 = 0, m + 0*f + 6 = -2*f for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the w'th term of -100, -214, -338, -478, -640, -830, -1054?" }, { "from": "gpt", "value": "-w**3 + w**2 - 110*w + 10" } ]
[ { "from": "human", "value": "Simplify sqrt(70)/(sqrt(70)/sqrt(7) + sqrt(10)) + 3." }, { "from": "gpt", "value": "sqrt(7)/2 + 3" } ]
[ { "from": "human", "value": "What is the product of -0.04 and 2.27?" }, { "from": "gpt", "value": "-0.0908" } ]
[ { "from": "human", "value": "Let a(w) = 3*w**2 - 9. Let k(s) = s**2 - 2. Let g(d) = -2*a(d) + 9*k(d). Let v(o) = -4*o + 185 - 185. Calculate v(g(n))." }, { "from": "gpt", "value": "-12*n**2" } ]
[ { "from": "human", "value": "What is the third root of 10144 to the nearest integer?" }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "-4*-96" }, { "from": "gpt", "value": "384" } ]
[ { "from": "human", "value": "Rearrange -18*x - 2 + 5 - 3 to the form d*x + i and give d." }, { "from": "gpt", "value": "-18" } ]
[ { "from": "human", "value": "Calculate the remainder when 387 is divided by 26." }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "What are the prime factors of 1226958493?" }, { "from": "gpt", "value": "17, 72174029" } ]
[ { "from": "human", "value": "What is next in -46, -83, -108, -115, -98, -51, 32, 157?" }, { "from": "gpt", "value": "330" } ]
[ { "from": "human", "value": "Let c = -0.19 - -2.19. What is the closest to 1/3 in -5, c, 4?" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Determine t, given that 2*t**4/7 - 276*t**3 + 88872*t**2 - 9538928*t = 0." }, { "from": "gpt", "value": "0, 322" } ]
[ { "from": "human", "value": "Let l = -6/29 - -250/87. Find j such that 4/3*j**2 - 2/9*j**3 - l*j + 16/9 = 0." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let b(d) = d - 2. Let n be b(3). Let f = n - -1. Suppose 18 = f*a + 4*p - 68, -a + 3*p + 53 = 0. Is a composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 209 and 7?" }, { "from": "gpt", "value": "1463" } ]
[ { "from": "human", "value": "Suppose -16*f + 44 = -12*f. List the prime factors of f." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Solve 17*o - 18*o = -2 for o." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the next term in 708, 705, 700, 693?" }, { "from": "gpt", "value": "684" } ]
[ { "from": "human", "value": "Solve m = w - m + 5, w + 2 = -m for w." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the greatest common factor of 3380 and 40?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Do -75 and -147/2 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let p(s) = -6 - 13*s**2 - 1 - 1 - 1 + 11*s. Let m(z) = -6*z**2 + 5*z - 4. Calculate 9*m(l) - 4*p(l)." }, { "from": "gpt", "value": "-2*l**2 + l" } ]
[ { "from": "human", "value": "Which is the nearest to 6/11? (a) 1/3 (b) -0.19 (c) 1/5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the third root of 20831 to the nearest integer?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Let s(y) be the first derivative of y**7/490 - 3*y**6/280 + 3*y**5/140 - y**4/56 + 3*y**2/2 + 2. Let d(g) be the second derivative of s(g). Factor d(k)." }, { "from": "gpt", "value": "3*k*(k - 1)**3/7" } ]
[ { "from": "human", "value": "Suppose -3*y + 4*f = -13, -4*y - 5*f + 8 = -f. Suppose 8 = t + 5*u, -y*t + 43 = -3*u - u. Suppose n = -x + 8, -2*x - 5*n + t = -0. Solve 11 = -4*k - x for k." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What are the prime factors of 9282?" }, { "from": "gpt", "value": "2, 3, 7, 13, 17" } ]
[ { "from": "human", "value": "What is 78/195 - 32/5?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let z = 24.4 + -24. Sort 0.2, z, -1 in decreasing order." }, { "from": "gpt", "value": "z, 0.2, -1" } ]
[ { "from": "human", "value": "Calculate the remainder when 709 is divided by 236." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate 8 - (16 + 2 + -5)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Find the second derivative of 2*g**3 + 3347516*g**2 + 280498309*g wrt g." }, { "from": "gpt", "value": "12*g + 6695032" } ]
[ { "from": "human", "value": "What is the second biggest value in -1/2, -212, 2/7?" }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "What is the next term in 24571, 24573, 24585, 24613, 24663?" }, { "from": "gpt", "value": "24741" } ]
[ { "from": "human", "value": "What is the closest to 4.1 in 0.4, -3, 1/59?" }, { "from": "gpt", "value": "0.4" } ]
[ { "from": "human", "value": "(-5 - (1 + 3)) + 9" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the fourth biggest value in 0.08, 2, -2, 0.25?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let w(t) = -t**3 + 6*t**2 - 4*t - 1. Let r be w(5). Solve -4 + 0 = r*l for l." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is ((-7)/(-56))/((-35)/(-56))?" }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "In base 2, what is 11011 + 10011110?" }, { "from": "gpt", "value": "10111001" } ]
[ { "from": "human", "value": "Sum -254.64 and 0.5." }, { "from": "gpt", "value": "-254.14" } ]
[ { "from": "human", "value": "Suppose 2*r + 3*r - 10 = 0. Suppose 0 = -b - 0*q + r*q + 4, -3*q + 48 = 3*b. Suppose -5*j - 2*h = -b, -7*h + 2*h = -5. Solve 0 = j*v - 4 + 12 for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "-0.5 - 47" }, { "from": "gpt", "value": "-47.5" } ]
[ { "from": "human", "value": "What is the smallest common multiple of 95 and 208638?" }, { "from": "gpt", "value": "19820610" } ]
[ { "from": "human", "value": "Let o be (16/(-40))/(((-6)/(-2))/(-30)). Solve 15 = f - o*f for f." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Divide 14 by 35." }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "What is the next term in -27, -163, -527, -1233, -2395, -4127?" }, { "from": "gpt", "value": "-6543" } ]
[ { "from": "human", "value": "What is the next term in 47, 77, 107, 137, 167, 197?" }, { "from": "gpt", "value": "227" } ]
[ { "from": "human", "value": "(24/(-6))/(12 + -2)" }, { "from": "gpt", "value": "-2/5" } ]
[ { "from": "human", "value": "Is 21 > 20?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let c(k) = -k - 4 + 9*k**3 - 3*k**2 + 3*k + 8*k - 10*k**3. Let q be c(-5). Sort 6, -1, q in decreasing order." }, { "from": "gpt", "value": "6, -1, q" } ]
[ { "from": "human", "value": "Suppose 5*y + 15 = -15. Let w be (2/y)/((-3)/36). Calculate the least common multiple of 4 and (-1*5)/(w - 5)." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Let p = 0 + 0.1. Let m = 49/48 + 5/16. Which is the nearest to 1? (a) p (b) 0.4 (c) m" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the value of -9 - (-700)/49 - 1*5?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Solve 0*q = 2*q + 5*j - 17, -4*q + 4 = 4*j for q." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Simplify ((sqrt(28)/sqrt(4) + 1 - sqrt(7))*3)**2." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let 0 + 18*h**4 - 26*h - 4*h**4 + 4 - 15*h**3 + 54*h**2 - 31*h**3 = 0. Calculate h." }, { "from": "gpt", "value": "2/7, 1" } ]
[ { "from": "human", "value": "Solve -6 = 3*f + 2*o + 5, -f = 3*o + 6 for f." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve 3*m - 28 = -4*v, 3*m = -2*v + v + 16 for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 12, what is -107 - 5?" }, { "from": "gpt", "value": "-110" } ]
[ { "from": "human", "value": "Solve -3*a + 19 = 7 for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let q = -22.012 + 0.012. Let g = 20 + q. Let b = 0.1 + 0.1. What is the closest to g in 0, b, -3?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let c(o) = -2 + 3*o - 5 - 13*o. Let z(n) = 3*n + 2. Let s be (-2)/(-3*(-6)/(-27)). Suppose -2*v + 1 = 3, 3*y + 45 = -s*v. What is y*z(w) - 4*c(w)?" }, { "from": "gpt", "value": "-2*w" } ]
[ { "from": "human", "value": "Suppose 3*l - 30 = -3*i + 7*i, i = 2*l - 25. Is l a multiple of 6?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Put -11, 3, -15 in ascending order." }, { "from": "gpt", "value": "-15, -11, 3" } ]
[ { "from": "human", "value": "What is the square root of 179503 to the nearest integer?" }, { "from": "gpt", "value": "424" } ]
[ { "from": "human", "value": "Let t(n) = -n**2 - 9*n - 8. Let g be (-1 + -2)/(-3 - 0). Let c be g + 18/(0 - 2). Let z be t(c). Solve -3*y + z*y = 9 for y." }, { "from": "gpt", "value": "-3" } ]