8. Let c(b) be the second derivative of -b**4/12 + 11*b**3/6 + 5*b**2 + b. Let s be c(g). Calculate the greatest common factor of s and 40.
10
Let p = 1278 + -1074. What is the highest common factor of 17 and p?
17
Let m = -520 + 1288. Calculate the highest common divisor of 24 and m.
24
Let g = -42 + 2. Let u = g - -103. Calculate the greatest common factor of u and 7.
7
Let p(c) = -2*c**2 + 4*c. Let a be p(4). Let i(q) = q**3 - 3*q - 56. Let d be i(0). Let n be 32/14 - a/d. What is the highest common divisor of n and 16?
2
Let u(x) = 10*x**3 - 2*x**2 + 1. Let t be u(1). Let i = 34 + -7. What is the highest common factor of i and t?
9
Suppose -4*d - 242 - 130 = 0. Let u = d - -23. Let w = -49 - u. What is the highest common factor of 7 and w?
7
Let z be 346/4 + 12/(-8). Suppose 0 = -5*m - b + 84, -18*m - 81 = -23*m - 4*b. Calculate the highest common factor of z and m.
17
Suppose -13*v + 8*v + 20 = 0. Let a = 6 - 4. Suppose 0 = -a*t + v*t - 26. What is the greatest common factor of t and 26?
13
Let a be (-1)/(0 - 5/20). Suppose -y = 4*r - 194, a*r + 224 = 4*y - 632. What is the highest common divisor of 35 and y?
35
Suppose -2*r - 32 = 2*r. Let w be 58/(-8) - (-6)/r. Let d be (40/(-16))/(2/w). Calculate the greatest common divisor of d and 5.
5
Let p be 454/5 - 1/(-5). Let v(f) = -2*f + 1. Let q be v(-1). Suppose q*t - 13 = 2*t. What is the highest common divisor of p and t?
13
Suppose -3*p + 170 = 7*p. Suppose 11*b - p - 16 = 0. What is the highest common factor of b and 5?
1
Let q = 543 - 399. What is the highest common divisor of q and 18?
18
Suppose 2*o + 2 = -2, 5*o - 116 = -3*l. Let u = l - 22. Suppose 2*y + 5*b + 0*b = 31, -4*b = -u. Calculate the highest common divisor of y and 6.
3
Let y(p) be the second derivative of -p**5/10 - 17*p**4/12 - 11*p**3/6 - 9*p**2 - 56*p. Let h be y(-8). Calculate the highest common factor of 9 and h.
3
Suppose -4*m = -5*k - 188, 2*k + 0*k + 4*m + 64 = 0. Let h be (-1720)/k + (-6)/(-27). What is the highest common divisor of 6 and h?
6
Suppose -8*k + 1898 = -1094. Calculate the greatest common divisor of k and 17.
17
Let z = -879 + 914. Calculate the highest common factor of 40 and z.
5
Let u be (-35)/245 - (-927)/21. Calculate the highest common factor of u and 16.
4
Let c(w) = 49*w + 3772. Let y be c(-76). Suppose -s - l = -2*l - 7, 29 = 3*s - 5*l. Calculate the greatest common divisor of y and s.
3
Let c(r) = 12*r - 77. Let f be c(7). What is the highest common divisor of 168 and f?
7
Suppose 2*x + 538 = 5*l - 0*x, -4*l + 435 = 3*x. What is the greatest common divisor of l and 81?
27
Let f be ((-3)/((-9)/132))/(58/1537). What is the greatest common factor of 106 and f?
106
Let j = -9 + 11. Suppose r + 28 = o, 4*o - j*r = 3*r + 116. What is the highest common factor of o and 24?
24
Let j be (-216)/(-5) + 6/(-30). Let u(q) = -q**3 + 8*q**2 - 4*q + 8. Let y be u(8). Let g = j + y. What is the highest common factor of g and 57?
19
Suppose -5*n + 14 = -3*n. Let h(r) = 4*r - 15. Let g be h(n). Calculate the highest common divisor of g and 117.
13
Let z be 19/1 + 60/12. Calculate the greatest common divisor of 24 and z.
24
Let f be 12/(-21)*(-14)/4. Let y be 11 + 0 + f + -4. What is the highest common divisor of 9 and y?
9
Let t = 54 - 6. Let u be (1/3)/(2/t). Let g(q) = q**2 - q. Let v be g(2). Calculate the greatest common factor of v and u.
2
Let t(c) = 3*c**3 - 29*c**2 + 22*c - 6. Let p be t(9). Calculate the highest common divisor of p and 510.
30
Let g be 2/(-4) - 378/(-4). Let s(c) = 67*c + 47. Let h be s(0). Calculate the highest common factor of h and g.
47
Suppose 5*s = 7*s - 30. Let d = s - 13. Suppose 3*l - 135 = -d*l. Calculate the greatest common divisor of l and 9.
9
Let k be 4/((-4)/2) - -31. Calculate the greatest common divisor of 232 and k.
29
Let u(p) = 6*p**2 - 3*p - 21. Let x be u(-7). Let g be 4 - (-1 - x) - 3. Calculate the greatest common factor of 37 and g.
37
Suppose 50 = g + g. Let j be ((-16)/(7 + -5))/(-2). Suppose -2*a = -2*b - j*a + 48, -3*a = -2*b + 53. What is the highest common divisor of g and b?
25
Suppose 16*z + 409 = 3097. What is the highest common factor of z and 48?
24
Let d = -592 + 891. What is the highest common divisor of 13 and d?
13
Let o(h) be the second derivative of h**5/20 - h**4/3 + 5*h**3/6 + 3*h**2 + 10*h. Let p be o(3). What is the highest common divisor of p and 36?
12
Suppose -3*h + 4*q = -155, 6*q + 102 = 2*h + 3*q. Calculate the greatest common divisor of h and 19.
19
Suppose 0 = 11*t - 5 - 116. Let k be (-4)/(-6) - 403/(-39). What is the highest common factor of k and t?
11
Let y(v) = v**3 - v**2 - 3*v - 4. Suppose -3*t = -0*t. Let d(s) = -s + 3. Let z be d(t). Let p be y(z). Calculate the greatest common divisor of 5 and p.
5
Let y = -456 - -648. What is the greatest common factor of y and 6?
6
Let x(h) = h**3 + 7*h**2 - 12*h - 26. Let d be x(-8). Calculate the greatest common divisor of d and 1428.
6
Let q be 112/49 + 6/(-21). Suppose -5*j = -4*k + 530, 0*j + q*j = -5*k + 679. Calculate the highest common divisor of k and 15.
15
Suppose -3*k - 12 = 0, 26 = 5*b - 7*k + 8*k. Suppose -z + b*z - 30 = -2*x, -x + 27 = 4*z. Let n = -42 - -74. What is the highest common factor of z and n?
8
Suppose 3*h + 5903 = 9*g - 4*g, 0 = 2*g + 2*h - 2358. What is the greatest common divisor of 20 and g?
20
Suppose -8*p + 5*k = -12*p + 74, p = -5*k + 11. What is the highest common divisor of 2919 and p?
21
Suppose 5*r = -x + 1, -4*r - 3*x = -7*x + 4. Suppose 2*g + 48 = 4*i, -7*i + 3*i - g + 48 = r. Calculate the greatest common factor of 6 and i.
6
Let h(d) = 2*d**3 - 7*d**2 - 3*d. Let w be h(4). Suppose -3*l + 756 = w*m, 2*m = -0*m + 5*l + 378. Calculate the greatest common divisor of 21 and m.
21
Let l(s) = -2*s**3 + 13*s**2 - 12*s - 10. Let w be l(5). Calculate the greatest common divisor of w and 295.
5
Let n(t) = t - 5. Let g be n(8). Suppose g*r + 31 - 82 = 0. Calculate the greatest common divisor of 187 and r.
17
Let u be (-104)/(-6) - 2/(-3). Let b(s) = 3*s**3 - 2*s + 27. Let k be b(0). What is the highest common divisor of u and k?
9
Let f(g) = g**3 + 5*g**2 - 7*g + 5. Let s be f(-6). Let t be (-15)/9*(-825)/125. Calculate the greatest common divisor of t and s.
11
Let t be (-16)/(-72) - 3801/(-27). Calculate the highest common factor of 47 and t.
47
Let x(b) = 5*b - 198. Let z be x(44). What is the highest common divisor of 99 and z?
11
Let y = -1203 + 1513. What is the highest common factor of 10 and y?
10
Suppose -5*a = -307 + 77. Calculate the highest common factor of 115 and a.
23
Let c(b) = 5*b**2 - 8*b - 23. Let p be c(11). Calculate the highest common divisor of p and 38.
38
Suppose 0*q + 2*q = -50. Let w = -516 - -524. Let m = w - q. Calculate the highest common divisor of 3 and m.
3
Let l = 1084 + 170. Calculate the highest common divisor of l and 38.
38
Suppose 0 = 4*b - 64 - 220. Suppose 3*h = -17 + b. Suppose 5 = w + 2, 39 = n + w. What is the greatest common divisor of h and n?
18
Let d = -294 - -322. Calculate the greatest common factor of d and 238.
14
Let m be (-441)/(-24) - 12/32. Suppose 34 = -5*i + 144. Let h be 5/10 - i/(-4). Calculate the greatest common divisor of h and m.
6
Suppose -2*j - 5*b + 39 - 9 = 0, -48 = -2*j + 4*b. Let a = 184 + -104. Calculate the highest common divisor of a and j.
20
Let v(u) = -11*u - 10*u**2 + 0*u**3 + 11*u - 21 - 13*u - u**3. Let n be v(-9). What is the greatest common divisor of 75 and n?
15
Suppose -7 = v + 22. Let m = v + 33. Calculate the highest common factor of 40 and m.
4
Let d(o) = 12*o**2 - 5*o - 3. Let w be d(5). Suppose 2*p - w = -0*p. What is the greatest common factor of 34 and p?
34
Suppose 0 = 16*a - 8234 + 2090. What is the greatest common divisor of 12 and a?
12
Let w(c) = 14*c - 18. Let y be w(6). Suppose 0*q + 1 = q. Let x be (q/(-1) - -3)*3. Calculate the greatest common factor of y and x.
6
Suppose 4*j - 122 = -14. Suppose -31*t + j*t = -128. Calculate the highest common factor of 16 and t.
16
Let v be ((-32)/(-40) - 0)*(-195)/(-2). Calculate the greatest common factor of 13 and v.
13
Let s = -16 - -85. What is the greatest common divisor of s and 138?
69
Let c(o) = o**2 - 16*o - 72. Let b be c(22). Let a(k) = 14*k + 1. Let s be a(1). Calculate the greatest common factor of s an