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math

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[ { "from": "human", "value": "Suppose -2*x + 6*x = -80. Suppose 0 = -0*l + 4*l + 48. Let c = l - x. Is 4 a factor of c?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Divide -204 by 34." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Solve -2*z = 16*z + 15*z for z." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Simplify (sqrt(209)*2)/sqrt(11) + 1 + sqrt(209)/((-1*sqrt(33))/sqrt(3))." }, { "from": "gpt", "value": "1 + sqrt(19)" } ]
[ { "from": "human", "value": "Let d be (-5)/((4 - 7)/3). Solve -y - 2*m + 3*m = -1, -y = d*m - 19 for y." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -116 = -3*d + 28. Is d a multiple of 12?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the product of -39.7 and 1?" }, { "from": "gpt", "value": "-39.7" } ]
[ { "from": "human", "value": "Simplify 5 + 0 + sqrt(304) + -1." }, { "from": "gpt", "value": "4 + 4*sqrt(19)" } ]
[ { "from": "human", "value": "Solve 27*j - 22*j - 30 = -3*o, o - j = 2 for o." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "-5 + (5 - 6 - -3)" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let o(r) = 10*r**3 - 25*r**2 + 35*r - 25. Let x(b) = -b**3 + b + 1. Let d(w) = o(w) + 5*x(w). Factor d(t)." }, { "from": "gpt", "value": "5*(t - 2)**2*(t - 1)" } ]
[ { "from": "human", "value": "Solve 5*d + 11 - 36 = 0 for d." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "List the prime factors of 33725047." }, { "from": "gpt", "value": "421, 80107" } ]
[ { "from": "human", "value": "Suppose 0 = -12*n + 8*n. Let p(m) be the first derivative of -3 + n*m**2 + 2*m + 0*m**4 - 1/5*m**5 + 0*m**3. What is the first derivative of p(z) wrt z?" }, { "from": "gpt", "value": "-4*z**3" } ]
[ { "from": "human", "value": "Suppose -19 = -3*i + w, 2*w - w + 9 = i. Solve -2*s = -3 + i for s." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let o(a) = 226*a**2 + 3*a - 13. Let f be o(-11). Round f to the nearest 1000." }, { "from": "gpt", "value": "27000.0" } ]
[ { "from": "human", "value": "Suppose -4*r + 7 = -1. Let y(f) = 2*f**3 - 3*f**2 - f + 3. Let z be y(r). Find the second derivative of 3*v + 3*v - 2*v**5 - z*v wrt v." }, { "from": "gpt", "value": "-40*v**3" } ]
[ { "from": "human", "value": "Let h(l) = 5 - l. Give h(1)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate the remainder when 2672 is divided by 107." }, { "from": "gpt", "value": "104" } ]
[ { "from": "human", "value": "Collect the terms in 0*v**3 + 10*v**2 - 2*v**3 - 12*v**2 + 2*v**2." }, { "from": "gpt", "value": "-2*v**3" } ]
[ { "from": "human", "value": "Let h(c) = 2*c + 6. Let j(f) = 4 - 8*f + 3*f - 17. Let q(n) = 9*h(n) + 4*j(n). What is the first derivative of q(p) wrt p?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate prob of picking 3 x and 1 o when four letters picked without replacement from {x: 11, o: 1, a: 6}." }, { "from": "gpt", "value": "11/204" } ]
[ { "from": "human", "value": "What is the value of (-1 - (-2 - -1)) + (12 - 11)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Add -87 and 0.09." }, { "from": "gpt", "value": "-86.91" } ]
[ { "from": "human", "value": "What is the next term in 3, 15, 47, 105, 195?" }, { "from": "gpt", "value": "323" } ]
[ { "from": "human", "value": "Let a(u) = -u**3 + 8*u**2 - 2*u + 12. Calculate a(8)." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate -762 divided by 6." }, { "from": "gpt", "value": "-127" } ]
[ { "from": "human", "value": "Factor -y**2/3 - 7*y/3 + 6." }, { "from": "gpt", "value": "-(y - 2)*(y + 9)/3" } ]
[ { "from": "human", "value": "Solve -5*d = 3*y - 2 - 1, 4*d = 5*y - 5 for d." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the highest common factor of 160 and 10?" }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "What is the product of -5 and -0.05023?" }, { "from": "gpt", "value": "0.25115" } ]
[ { "from": "human", "value": "Evaluate ((-1 - 1)/2)/((-6)/6)." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is -243 <= -240?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 62 minutes before 7:52 AM?" }, { "from": "gpt", "value": "6:50 AM" } ]
[ { "from": "human", "value": "(7 - (7 + -13) - 16) + -18" }, { "from": "gpt", "value": "-21" } ]
[ { "from": "human", "value": "Subtract 0.15 from 0.03729." }, { "from": "gpt", "value": "-0.11271" } ]
[ { "from": "human", "value": "Solve -3*v - 18 = -3*k, v = 4*k - 18 - 3 for v." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let r be (16/10)/(14/35). Let p = 551 + -227. Suppose p = r*i - 0*i. What is the greatest common factor of i and 9?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let x(y) be the second derivative of 2*y + 2/21*y**3 + 0 + 0*y**2 + 1/14*y**5 + 1/6*y**4. Factor x(d)." }, { "from": "gpt", "value": "2*d*(d + 1)*(5*d + 2)/7" } ]
[ { "from": "human", "value": "Suppose 0 = -4*a - 2*r + 20, 2*a + 3*r = -3*a + 25. Put 4, a, 0 in ascending order." }, { "from": "gpt", "value": "0, 4, a" } ]
[ { "from": "human", "value": "Evaluate -5 + -1 + 6 - 1." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose 0 = l + 5, 0*l - 5*l = -5*i + 25. Let s(h) = h**3 + 14*h**2 + 11*h - 24. Let o be s(-13). Solve i = -a + o*a - 4 for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "In base 11, what is -1 + -1273?" }, { "from": "gpt", "value": "-1274" } ]
[ { "from": "human", "value": "Suppose 9*x - 11*x = -4. Calculate the highest common divisor of x and 4." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let l be 15/(-10)*(1 - 3). Let n be (0/1)/((-9)/l). Suppose -5*g - 4*p + 32 = n, -3*p + 17 = -g + 3*g. Put -4, g, 5 in decreasing order." }, { "from": "gpt", "value": "5, g, -4" } ]
[ { "from": "human", "value": "Let j(g) = -g. Let l(s) = 5*s - s + 0*s - 3. Let z(f) = -5*j(f) - l(f). What is the first derivative of z(a) wrt a?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let g be 3/(9/60*2). Suppose 5*q + g*y - 5*y = -25, y + 5 = -5*q. Suppose q = -2*f + 3 - 13. Sort 1, f, 0 in descending order." }, { "from": "gpt", "value": "1, 0, f" } ]
[ { "from": "human", "value": "Collect the terms in 2*s + 9*s + 14*s - s." }, { "from": "gpt", "value": "24*s" } ]
[ { "from": "human", "value": "Suppose -2*k + 4*k + 5*t - 25 = 0, 3*t - 43 = -4*k. Let g be (4 + 1)*4/k. List the prime factors of g/1*(-14)/(-4)." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let w = -2 + 5. Solve w*y + 0*y - 15 = -3*d, 9 = 3*d for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the third root of 41 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is greater: 1 or -2/61?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 0 = 13*q - 45 - 7 for q." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve -3*u - g - 3 = 0, 0*g = 3*u + 3*g - 3 for u." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate -4 divided by -5." }, { "from": "gpt", "value": "4/5" } ]
[ { "from": "human", "value": "What is the highest common factor of 162 and 1098?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "What is 52 - -23?" }, { "from": "gpt", "value": "75" } ]
[ { "from": "human", "value": "What is the value of -1 + -1 + (-4 - 1) + 3?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let s be 121/11*(-1 + 0). Sort -1, s, 0." }, { "from": "gpt", "value": "s, -1, 0" } ]
[ { "from": "human", "value": "Let w = 98 - 98. Let l(d) = d**2 + d - 2. Let y be l(-3). Are y and w non-equal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose -5*v = 3*w + 2, -1 = 2*v + 1. Let l be (w - 4)/(3 - 4). Suppose t - 4 = 2*s, l*t - 5 = 5*s + 5. Sort s, 2, -1." }, { "from": "gpt", "value": "s, -1, 2" } ]
[ { "from": "human", "value": "Find the second derivative of -189*h**2*y**2 - 2*h*y**2 - 84*h*y wrt h." }, { "from": "gpt", "value": "-378*y**2" } ]
[ { "from": "human", "value": "In base 15, what is -210 - 5?" }, { "from": "gpt", "value": "-215" } ]
[ { "from": "human", "value": "Suppose -1/6*d**2 + 0 + 0*d + 1/6*d**5 - 1/6*d**3 + 1/6*d**4 = 0. Calculate d." }, { "from": "gpt", "value": "-1, 0, 1" } ]
[ { "from": "human", "value": "Let u = 1977 - 4. Is u a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-2 divided by -1853" }, { "from": "gpt", "value": "2/1853" } ]
[ { "from": "human", "value": "Divide 270 by 5." }, { "from": "gpt", "value": "54" } ]
[ { "from": "human", "value": "Let u be 274/(-28)*765/1. Let f = 7478 + u. What is the common denominator of f and 37/12?" }, { "from": "gpt", "value": "84" } ]
[ { "from": "human", "value": "What is the least common multiple of 909 and 66?" }, { "from": "gpt", "value": "19998" } ]
[ { "from": "human", "value": "Let w(l) be the third derivative of 0*l - 2*l**2 + 0 - 1/360*l**6 + 0*l**3 + 1/1008*l**8 + 0*l**4 + 1/630*l**7 - 1/180*l**5. Factor w(o)." }, { "from": "gpt", "value": "o**2*(o - 1)*(o + 1)**2/3" } ]
[ { "from": "human", "value": "What is the hundreds digit of 168822?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the b'th term of 168, 175, 194, 231, 292, 383, 510?" }, { "from": "gpt", "value": "b**3 + 167" } ]
[ { "from": "human", "value": "What is i in i**3/3 + 10*i**2 - 64*i/3 = 0?" }, { "from": "gpt", "value": "-32, 0, 2" } ]
[ { "from": "human", "value": "Let -2*c**4/11 + 76*c**3/11 - 70*c**2/11 - 148*c/11 = 0. Calculate c." }, { "from": "gpt", "value": "-1, 0, 2, 37" } ]
[ { "from": "human", "value": "Sort -13, 0.2, -0.2, -5 in descending order." }, { "from": "gpt", "value": "0.2, -0.2, -5, -13" } ]
[ { "from": "human", "value": "Suppose 0 = -2*d - s - 2, -3*s + 2 = d + d. Let j = d - -2. Solve -m + 0*m = j for m." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 51.4 less than 12?" }, { "from": "gpt", "value": "-39.4" } ]
[ { "from": "human", "value": "Let a be (-7)/(-10) - (-1)/(-5). Let h(t) be the first derivative of -1/6*t**3 - a*t**2 + 1 - 1/2*t. Factor h(y)." }, { "from": "gpt", "value": "-(y + 1)**2/2" } ]
[ { "from": "human", "value": "Simplify sqrt(187)/(sqrt(88)/sqrt(2) + sqrt(11))." }, { "from": "gpt", "value": "sqrt(17)/3" } ]
[ { "from": "human", "value": "Sort -4, 7, 0.2, 1 in increasing order." }, { "from": "gpt", "value": "-4, 0.2, 1, 7" } ]
[ { "from": "human", "value": "Factor d**2/4 + 121*d/2 + 241/4." }, { "from": "gpt", "value": "(d + 1)*(d + 241)/4" } ]
[ { "from": "human", "value": "Let l = 6 - 1. Solve l = -2*g - 3 for g." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let n(q) be the first derivative of -q**5/20 + 5*q**4/16 - 2*q**3/3 + q**2/2 + 76. Factor n(x)." }, { "from": "gpt", "value": "-x*(x - 2)**2*(x - 1)/4" } ]
[ { "from": "human", "value": "Divide -11 by 11." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let t(h) = 14*h - 34. Determine t(3)." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the third derivative of -4*c**3*d**3 + c**3*d**2 - 53*c**2*d**2 + 6*c*d**4 + 4*d**4 + d**2 wrt d?" }, { "from": "gpt", "value": "-24*c**3 + 144*c*d + 96*d" } ]
[ { "from": "human", "value": "Let w = -533529/14 + 38127. Let x = w + -35/2. What is the biggest value in 0.1, -3, x?" }, { "from": "gpt", "value": "x" } ]
[ { "from": "human", "value": "Sort -0.211, 0.3, 4, 0, -4 in ascending order." }, { "from": "gpt", "value": "-4, -0.211, 0, 0.3, 4" } ]
[ { "from": "human", "value": "What is ((-19)/((-722)/(-171)))/(3*1)?" }, { "from": "gpt", "value": "-3/2" } ]
[ { "from": "human", "value": "What is the fourth biggest value in 23, 5, 3, -3?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the closest to -2 in 0.3, 2, 3, 6/5?" }, { "from": "gpt", "value": "0.3" } ]
[ { "from": "human", "value": "Suppose 3*z - 12 = 5*k, 2*k - 4*z + 11 = -3*k. Suppose -4*j + 0*x = x - 94, j + 3*x = 29. Find the common denominator of -121/10 and 4 + k + j/(-4)." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Solve -1 + 3 + 3*r**2 + 4*r + 4*r**2 - 5*r**2 = 0 for r." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let v(p) = p**2 + 5*p + 7. Let w be v(-5). Suppose 3*i - w = 2*i. Let a = 8 - 5. Solve a*q = -i - 5 for q." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 158 minutes after 8:34 AM?" }, { "from": "gpt", "value": "11:12 AM" } ]
[ { "from": "human", "value": "In base 4, what is 0 + -3?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Three letters picked without replacement from {c: 12, b: 3}. Give prob of picking 2 c and 1 b." }, { "from": "gpt", "value": "198/455" } ]
[ { "from": "human", "value": "What comes next: 69, 57, 45, 33?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "0.3 times 163" }, { "from": "gpt", "value": "48.9" } ]
[ { "from": "human", "value": "Evaluate 1/(2/(6/5))." }, { "from": "gpt", "value": "3/5" } ]