a. Calculate the highest common divisor of w and 80.
16
Let w(y) = -y**3 + 23*y**2 + 41*y - 292. Let r be w(16). What is the greatest common divisor of 44 and r?
44
Let i = 15 - -9. Let w be 8*(-4)/((-40)/75). Calculate the highest common factor of w and i.
12
Suppose 5*c = -5*y, -5*c - 2*y = 2*y. Suppose 0 = 2*b - 6 - c. Let s be (-637)/(-21) - 1/b. Calculate the greatest common divisor of s and 6.
6
Let x(t) = -2*t**2 + 21*t + 20. Let f be x(10). Calculate the greatest common divisor of 54 and f.
6
Suppose 0 = -2*m + 5*m. Let k = 44 - m. Suppose 0 = -0*j - j + k. What is the greatest common divisor of 4 and j?
4
Suppose 4*v = 2*f + 8, 4*f + 3*v + 0 = 17. Let p be (3/f)/(20/(-24) + 1). Calculate the highest common divisor of p and 3.
3
Let c = 6 + -8. Let r(n) = -4*n - 1. Let h be r(c). Suppose 28 = 9*k - 5*k. Calculate the highest common factor of h and k.
7
Let t(o) = o**2 + 7*o + 2. Let n be t(-10). Suppose g + 11 = n. Suppose 4*x + 0*x - 56 = 0. Calculate the highest common factor of x and g.
7
Let u = 100 - 96. Suppose s = u*s - 3. Calculate the greatest common divisor of s and 3.
1
Suppose -4*n = -3*a - 3735, 4*a + 0*a - 1840 = -2*n. What is the greatest common divisor of 31 and n?
31
Suppose 9*h - 80 = -40 + 32. Suppose 7*b - 3*b = 8. Suppose 0 = -f + 6 - b. Calculate the greatest common factor of h and f.
4
Let n(d) = d**2 + 14*d - 50. Let c be n(-17). Let w be (-54)/(-7) + 2/7. Calculate the highest common divisor of w and c.
1
Suppose n - 60 = -2*a, -6*n + 117 = -4*n + a. Let w be -5 + (3 - -5) + 84. Calculate the highest common factor of w and n.
29
Let x(k) = 16*k**2 + 79*k + 434. Let i be x(-6). Calculate the greatest common factor of i and 4.
4
Let x(n) = -32*n - 7. Let m be x(-6). Suppose -39 = -o - y, o - 6*o = -5*y - m. Calculate the greatest common divisor of o and 19.
19
Let d(z) = -z**2 + 16*z + 9. Let h be d(15). Calculate the highest common factor of h and 216.
24
Let t(n) be the first derivative of -n**4/4 + 11*n**3/3 + 9*n**2 - 9*n + 10. Let m be t(12). What is the highest common factor of m and 9?
9
Suppose -2*o + 0*d = -2*d + 10, -5*o + 2*d - 10 = 0. Suppose x = 1, 4*s + 4*x + o*x = 136. Calculate the highest common factor of 11 and s.
11
Let d(b) = 38*b**3 + 6*b**2 - 3*b - 6. Let y be d(3). Let g be 1 - y/10*6/(-9). Calculate the greatest common factor of 24 and g.
24
Let d = 999 - 993. What is the highest common divisor of d and 222?
6
Let s(x) = 18*x - 53. Let q be s(19). Calculate the highest common factor of 51 and q.
17
Let v(l) = 3*l**2 - 3*l - 2. Let b be v(-2). Let x = -15 + 22. Suppose -5*f = 3*u - 316, 4*u - x*u + 332 = f. Calculate the highest common factor of b and u.
16
Suppose -5*l + 28 = 8. Let q be (-3)/l*7200/(-30). Let y = 33 + -13. Calculate the highest common factor of q and y.
20
Let q = 30 + 3. Let n(f) = -f**2 - 6*f + 1. Let r be n(5). Let a = 57 + r. What is the greatest common factor of a and q?
3
Let x = -464 + 1038. Calculate the greatest common factor of 28 and x.
14
Let u = -2658 + 2686. Let m = -33 + 61. What is the greatest common factor of u and m?
28
Let l be 3*1/7 + 35075/805. Calculate the greatest common factor of l and 1804.
44
Let u = -59 + 129. What is the greatest common factor of u and 105?
35
Let q = 337 - 241. Suppose -15*a + 7*a = -q. Calculate the greatest common divisor of 8 and a.
4
Let g = -6241 + 6283. Let y = 29 - 15. What is the highest common factor of y and g?
14
Suppose 152*g - 135 = 147*g. Calculate the greatest common divisor of g and 243.
27
Let w be (14 - 34800/(-425)) + 2/17. What is the highest common factor of 832 and w?
32
Suppose 10*p + 192 = 18*p. What is the greatest common divisor of p and 192?
24
Suppose q = -c + 35, 8*c + 3*q = 11*c - 111. Calculate the greatest common factor of 162 and c.
18
Let z = 36 - 30. Suppose 0 = 14*r - 17*r + z. Suppose 5*j = 3*p + 1, -3*p + j - 7 = -26. Calculate the highest common factor of p and r.
2
Suppose 13*q = 94 - 3. Let k(a) = -a**3 + 10*a**2 - 19*a - 2. Let c be k(q). Let b be 3*1/(-1)*-1. Calculate the greatest common divisor of c and b.
3
Suppose -2*b - 53 - 151 = 0. Let o = 246 + b. Let f be (96/(-80))/(3/(-45)). What is the highest common divisor of o and f?
18
Suppose -3*g = -58 - 74. Suppose -5*b = -9*b + g. Suppose -2*v + 37 = -29. What is the highest common factor of v and b?
11
Suppose 4*p = -0*p - 2*s + 72, -4*s + 16 = 0. Suppose p + 10 = a. Calculate the greatest common factor of 130 and a.
26
Suppose q - 44 = -q. Let s be 4 - -3 - (10 - 7). What is the greatest common divisor of s and q?
2
Suppose s = 29 - 8. Let q = s - 14. What is the highest common factor of q and 7?
7
Let p = 2 + 0. Let j(n) = 2 + n + 2*n**2 - 6*n + n. Let l be j(p). What is the highest common divisor of l and 8?
2
Suppose 11 - 14 = -3*k. Let j be (-3)/k + -10 + 20. What is the highest common divisor of j and 56?
7
Let z(v) = 6*v - 1. Let d be z(1). Suppose 6*t = 5*t + 5. Suppose -t*p + 25 = 0, g + 2*p + 5 = 4*p. What is the greatest common divisor of d and g?
5
Let l = 14 + -5. Suppose 250 = 4*o - l*o. Let a = o + 237. Calculate the highest common factor of a and 17.
17
Suppose -5 = -f - 1. Let m(d) = -16*d. Let l be 6/33 + (-26)/22. Let c be m(l). Calculate the greatest common factor of f and c.
4
Suppose 4*c - 5*s - 240 = 0, -s = -4*c + 9*c - 271. What is the highest common divisor of c and 10?
5
Let u(y) = y - 1. Let h be u(-1). Let n be (24/(-16))/(h/12). What is the greatest common divisor of n and 9?
9
Let v = -11 + 19. Suppose v*f - 553 = 407. Let m = 25 + -10. Calculate the highest common divisor of m and f.
15
Let f(x) = 11*x**2 - 6*x - 29. Let r be f(-3). Calculate the highest common factor of r and 704.
88
Suppose -921 = 5*u - 961. Calculate the greatest common divisor of u and 472.
8
Let o(s) = -3*s**3 - 2*s**2 - 7*s + 4. Let k be o(-3). What is the greatest common factor of k and 8?
8
Let x be (-2)/(-11) - (-93)/33. Suppose 106 = 3*w + x*n - 8*n, 5*n + 170 = 5*w. Calculate the highest common factor of w and 16.
16
Suppose -z + 5*j = -20, -z + j + 4 = -2*z. Suppose 0 = -z*m - 4*m + 80. What is the greatest common divisor of m and 8?
4
Let p(x) = -2*x**2 - 26*x - 15. Let n be p(-12). Let u(t) = t**3 - 7*t**2 - 6*t - 22. Let g be u(n). Calculate the greatest common divisor of 43 and g.
43
Suppose -353*a + 335*a = -756. Suppose 0 = 3*b + 3, -3*r + 7 = -2*r + 5*b. Calculate the highest common divisor of a and r.
6
Let a be 475/38*252/35. Calculate the highest common divisor of a and 150.
30
Suppose 6 = g + 5*k - 50, 56 = g - k. What is the highest common factor of g and 84?
28
Suppose -2*x = -7*x + 270. Suppose -3*y = 2*u - 25, -y = -0*u - 5*u + x. Let f(l) = 87*l + 1. Let p be f(1). What is the greatest common divisor of p and u?
11
Let s(y) = 7*y + 5*y**3 + 6 - 9*y**2 - 5*y**3 - 2*y + 2*y**3. Let d be s(6). What is the highest common factor of 18 and d?
18
Let h = -137 - -225. What is the greatest common factor of h and 99?
11
Let g be 6*(-9)/(-12)*-22. Let l = -37 - g. Calculate the greatest common divisor of l and 155.
31
Suppose -36 + 9 = -3*m. Suppose 0 = 5*x - m*x + 84. What is the highest common divisor of 84 and x?
21
Suppose -4*h = -32 - 140. Let a = 205 - h. What is the greatest common factor of 18 and a?
18
Suppose -6*k - 4*c = -70, 5*c = 4 + 16. Suppose 4*n - a - 9 = 0, 3*n + 3*a + 9 = -3. Calculate the highest common factor of k and n.
1
Let y(h) = -2*h**2 + 23*h - 14. Let w be y(9). Suppose -155 = -5*t - 3*x, -2*t + x - w = -3*t. Calculate the highest common divisor of 310 and t.
31
Suppose 5*b - 10 = -2*g + 5*g, 2*g + b = 15. Suppose 0 = 5*s - 7*l + 2*l - 275, -g*s = -4*l - 275. Calculate the greatest common divisor of s and 22.
11
Let t = 405 - 383. Let d(j) = 6*j + 4. Let z be d(3). What is the highest common divisor of t and z?
22
Suppose 6*r = 5*r + 21. Suppose a = -5*t + r, -2*t = -3*t + 3*a + 17. What is the highest common factor of t and 5?
5
Let x be 1/1 - 198/(-22). Suppose -5*r + 169 = -381. Calculate the highest common divisor of r and x.
10
Let z = 14 + -10. Let h(i) be the first derivative of -9*i**2/2 - 31*i - 20. Let u be h(-7). Calculate the greatest common factor of z and u.
4
Suppose -105*f + 3 = -104*f. Suppose 0*k - 2*l = 3*k - 472, l = -f*k + 470. Calculate the greatest common div