.
11
Let s(v) be the first derivative of -v**4/4 + 8*v**3/3 + 5*v**2 - 5*v - 1. Let i be s(9). Calculate the greatest common factor of i and 32.
4
Let n = 14 - -10. What is the highest common divisor of 6 and n?
6
Let t(m) = 8*m**3 - 2*m. Let u be t(2). Calculate the highest common divisor of u and 40.
20
Let w(g) = 5*g - 7. Let q be w(8). Calculate the greatest common divisor of 22 and q.
11
Let c(b) = b**3 + 5*b**2 - 10*b - 9. Let z be c(-6). Calculate the greatest common divisor of z and 60.
15
Let d(x) = 17*x - 1. Let u be d(2). What is the greatest common factor of 11 and u?
11
Let b(n) be the first derivative of -n**4/4 - 8*n**3/3 - n**2/2 + 11*n + 2. Let d be b(-8). Calculate the greatest common divisor of 57 and d.
19
Suppose -4*x + 253 = -307. Suppose j = -5*o + 350, 0*o - x = -2*o + 2*j. Calculate the highest common factor of 28 and o.
14
Let k = 21 + -12. Let z(j) = -6*j + 9. Let y(v) = -19*v + 28. Let h(i) = -2*y(i) + 7*z(i). Let d be h(-5). What is the highest common factor of d and k?
9
Let q = 239 - 167. What is the greatest common divisor of 8 and q?
8
Let p = 5 + 10. Calculate the highest common divisor of p and 10.
5
Let b(h) be the first derivative of 3*h**2/2 + h + 10. Suppose 3*d - 24 = -d. Let f be b(d). What is the highest common factor of 19 and f?
19
Suppose -5*y = d - 11, y - 3*d - 1 = -2. Suppose y*z - 48 = -2*z. Calculate the greatest common factor of z and 108.
12
Let x(p) = 1 - 1 - 3*p + p - 5. Let d be x(-4). Calculate the highest common factor of 24 and d.
3
Let p(l) = l**3 - 7*l**2 - 2*l + 8. Let m be p(8). Calculate the highest common factor of 8 and m.
8
Let p(b) = b**3 + 6*b**2 - 5*b - 6. Let x be p(-6). What is the greatest common factor of 3 and x?
3
Let h be 5 + (7 - 1) + -4. What is the highest common factor of 49 and h?
7
Let u(c) = c**3 + 11*c**2 - 2*c + 12. Let g be u(-11). Suppose 0 = -0*b - b - 1, b + g = 3*o. What is the greatest common divisor of o and 33?
11
Let h be (-37)/(-3) - (-24)/(-18). Suppose 1 + 0 = t. What is the highest common divisor of h and t?
1
Let n be 21 - (33/27 + (-6)/27). Let v be 80 + (2 - 2) + 0. Calculate the greatest common divisor of v and n.
20
Let d be 33/(-4)*((-6)/1 - -2). What is the greatest common divisor of d and 363?
33
Suppose -q = 2*q - 15. Suppose 0 = -4*p + q*g + 144, g = p + 4*p - 180. Calculate the highest common divisor of p and 12.
12
Let m = -2 + 4. Suppose -m*t - 42 = -5*t. Suppose 10*j - 3 - 137 = 0. What is the highest common divisor of t and j?
14
Let n(t) = -2*t + 38. Let g(i) = -i + 13. Let d(a) = 8*g(a) - 3*n(a). Let j be d(-10). Calculate the highest common factor of j and 25.
5
Let t = 3 + 23. Calculate the greatest common factor of 13 and t.
13
Suppose 23 = 2*b - 0*h + 3*h, -4*b = -2*h - 22. What is the highest common factor of 4 and b?
1
Let x = 18 + -10. Suppose 3*u + 0*u - 24 = 0. Calculate the highest common factor of u and x.
8
Let k = -111 - -126. Calculate the highest common factor of k and 40.
5
Let i = 11 + -2. What is the highest common divisor of i and 63?
9
Let x = 12 + -5. Let h = 18 + 59. Calculate the greatest common divisor of h and x.
7
Let o = 7 - 5. Suppose o*n - 120 = -2*n. Suppose -2*a - 2*d = -0*a - 28, a - 2*d = 2. Calculate the greatest common divisor of a and n.
10
Let y = 35 + -23. Calculate the highest common factor of y and 1.
1
Let r = 0 + 2. Suppose -2*u + 2*k + 32 = 0, -r*u - 3*u + 4*k + 75 = 0. What is the greatest common divisor of u and 44?
11
Suppose 215 = 5*q - 4*y + 49, 2*y - 142 = -5*q. Let z = 23 - 11. What is the highest common divisor of z and q?
6
Suppose -10*l + 6 = -4*l. Let m be (-2)/4*-2 - -1. What is the highest common divisor of m and l?
1
Let q = -20 - -11. Let j = -24 - q. Let n = 30 + j. Calculate the greatest common factor of n and 105.
15
Let l = 236 + -186. Let b(g) = -g**3 + 8*g**2 + 11*g - 8. Let x be b(9). What is the highest common divisor of l and x?
10
Suppose -3*o - 4 = -4*s + 2, -2*o - 4*s = -16. Let w be o + -5 + (-2 - -57). Calculate the highest common factor of 78 and w.
26
Suppose n + 4 = 19. What is the greatest common factor of n and 60?
15
Let h be ((-84)/(-9) - 4)*(-135)/(-12). What is the greatest common factor of h and 15?
15
Let u = -11 - -51. What is the greatest common factor of 8 and u?
8
Suppose 5*h + 10 - 30 = 0. Suppose -w - z + 2 = 0, h*w - 1 = 3*z - 0. What is the greatest common divisor of 4 and w?
1
Let i(s) be the first derivative of -s**4/4 + s**3/3 - s**2/2 + 33*s - 1. Let b be i(0). What is the greatest common factor of 3 and b?
3
Let h = 10 - 7. Suppose 9 = h*k - 6*k. Let x be ((-4)/k)/(-4)*-39. What is the greatest common factor of 52 and x?
13
Suppose -3*s = s - 36. What is the greatest common factor of 9 and s?
9
Let p = 22 + 18. Let t(m) = 3*m - 2. Let z be t(5). Suppose -z = -2*s + 19. What is the greatest common divisor of p and s?
8
Suppose -5*g + 0*g = -60. Suppose -132 - 503 = -5*j - 5*z, 0 = 4*j - 4*z - 548. Calculate the highest common divisor of j and g.
12
Suppose -3 = -2*y + 11. Let x(r) = -r**3 + 6*r**2 + 9*r - 4. Let g be x(y). Calculate the highest common divisor of g and 25.
5
Suppose 29*u - 25*u = 36. Calculate the greatest common divisor of 9 and u.
9
Let g = 72 - 120. Let t = 86 + g. Calculate the highest common divisor of t and 19.
19
Suppose 2*l + 47 = -19. Let n be (-47)/(-3) + 22/l. What is the greatest common factor of 30 and n?
15
Let p(y) = y**3 - 5*y**2 - 2*y + 2. Let s be p(6). What is the greatest common divisor of s and 130?
26
Let y(r) = 2*r + 1. Let x be y(-2). Let w be (-32)/x*(-81)/(-6). Calculate the highest common factor of 18 and w.
18
Suppose 0*f - 3*f + 132 = 0. What is the highest common divisor of 22 and f?
22
Let n be 72/7 - 6/21. What is the highest common divisor of n and 2?
2
Let d(u) = 8*u**2 - 3. Let r be d(3). What is the highest common divisor of r and 3?
3
Let v = 134 - 96. Calculate the greatest common factor of v and 76.
38
Let g(d) = d**2 + 6*d + 4. Let s be g(-6). Let x be 40/(-6)*(-54)/s. Suppose -i = -6*i - y + 45, i = -2*y. Calculate the highest common factor of x and i.
10
Let k = 29 - 25. Let g(p) = p**3 + 8*p**2 + 8*p + 7. Let y be g(-7). Suppose y*i = -k*i + 56. Calculate the highest common divisor of i and 35.
7
Let k be (3/(-9))/((-1)/18). Suppose 4*m = -j - 3, -k = 3*j + 3. Suppose 0 = -5*q - m*q + 20. Calculate the greatest common factor of 16 and q.
4
Suppose 2*g = -0*g + 22. Suppose 22 = -3*b + 5*b. Calculate the greatest common factor of g and b.
11
Let v(n) = -n**3 - 24*n**2 - 28*n - 22. Let o be v(-23). What is the greatest common factor of o and 62?
31
Let p(g) = -29*g + 1. Let c be p(-1). Let o(x) = x**3 + 6*x**2 - 4. Let r be o(-6). Let v be r/((-2)/(4 + 2)). What is the highest common factor of v and c?
6
Suppose 7*j - 170 = 5*j. Calculate the greatest common factor of j and 34.
17
Suppose -2*o - 3 = -3*o. Let z be 2/o*90*1. What is the greatest common divisor of z and 40?
20
Suppose 12 = p + 2*p. Suppose 28 = p*g - 4. What is the greatest common factor of 72 and g?
8
Suppose -5*g = -3*k - 412, -2*k - 20 = 3*k. Let z(y) = 5*y - 13. Let f be z(9). What is the greatest common divisor of f and g?
16
Suppose -h = 6*u - 4*u, u = 3*h. Suppose -n = -u*n - 80. Let r be -2 + 15 + 3 + -6. Calculate the highest common divisor of r and n.
10
Suppose 2*b = 6*b - 24. Suppose -u - b + 8 = 0. Let s(t) = -t**3 - 6*t**2 - 3*t - 2. Let r be s(-6). What is the highest common divisor of r and u?
2
Let h = 24 - 6. Calculate the highest common divisor of 126 and h.
18
Let g be 10 + -5 + 0 + 2. Suppose 2*b = -3*b + i + 29, -3*b + g = 2*i. Calculate the highest common factor of 55 and b.
5
Let d(c) = 39*c**3 - 3*c**2 + 5*c - 3. Let h be d(1). What is the greatest common factor of 95 and h?
19
Suppose 3*w + 3*c + 870 = -2*c, 2*w + 580 = 2*c. Let p = w + 407. Calculate the greatest common factor of p and 13.
13
Let v = 32 - 18. Suppose 4*n - 4*p + 14 = 3*n, -3*n = -5*p + v. Let o = 101 + -83. What is the greatest common divisor of o and n?
2
Suppose 3*b - 2*k = 40, 3*b + 6*k = 2*k + 28. What is the highest common divisor of b and 12?
12
Let x(j) = -j**2 + 20*j + 18. Let l be x(9). Calculate the highest common divisor of l and 9.
9
Let r = 66 + -56. Calculate the greatest common factor of r and 170.
10
Let