
Suppose 4*a + 4*n - 16 = 0, -3*a - n = -2*n. Let h(c) = 23*c**3 + 3*c - 2. Let j be h(a). Calculate the highest common factor of j and 192.
24
Suppose 2*x = -2*b + 8, -2*x - 12 = -b - 7*x. What is the greatest common divisor of 25 and b?
1
Let o = 911 + -905. Calculate the highest common factor of 6 and o.
6
Suppose -n - 3 = -5*b, 0 = 4*n - b - 0*b - 83. Suppose -p + 1 = 0, 5*p = 5*c - 8 + 3. What is the highest common divisor of n and c?
2
Let a(w) = 2*w**2 - 3*w + 14. Let b be a(-11). Calculate the highest common divisor of b and 51.
17
Let f(w) = -w - 18. Let x be f(-11). Let t(y) = 6*y + 49. Let k be t(x). Calculate the highest common divisor of 56 and k.
7
Let r(l) = l**3 - 23*l**2 - 25*l + 31. Let b be r(24). Let x(h) = h**3 - 8*h**2 + 22*h - 1. Let i be x(b). Calculate the greatest common factor of 52 and i.
52
Suppose -99 = 5*u - 24. Let q be (8/(-6))/((5/u)/1). Calculate the greatest common divisor of 4 and q.
4
Let q(x) = x. Let c be q(5). Suppose -3*l + 371 - 134 = 0. Let w = l + -39. Calculate the highest common factor of c and w.
5
Let t be 100/120 - 775/(-6). What is the greatest common divisor of t and 104?
26
Let c = -260 - -294. Calculate the highest common divisor of 289 and c.
17
Suppose 4*o + 4 - 8 = 2*u, o + 3*u + 6 = 0. Let z be o + 1 - (-2 - 6). Suppose -4*a - 35 = -z*a. Calculate the highest common factor of a and 35.
7
Let f be (2 - 3) + 8/2. Suppose -2*c + 29 = 2*c - f*j, 3*c = -4*j + 3. What is the greatest common factor of c and 15?
5
Let k be 395/(5 - 0) - -8. What is the greatest common factor of k and 1653?
87
Let j be -6 - ((-12)/(-6) - 89). What is the highest common factor of j and 3?
3
Suppose -40*o + 37*o = -60. Suppose g = 3*b - 4 - 0, 3*g - 12 = -3*b. Calculate the highest common factor of o and g.
2
Let l = 3 - 11. Let h be (-224)/(-20)*(-390)/(-104). Let z = h + l. Calculate the greatest common divisor of 374 and z.
34
Let x = -1280 - -1383. What is the greatest common divisor of x and 824?
103
Let b be 30 - (-3 + (-2 - -3)). Let w = -17 + b. Let c(y) = -y**3 - 5*y**2 - 2*y - 7. Let r be c(-7). Calculate the greatest common divisor of w and r.
15
Let p = -169 + 224. What is the greatest common divisor of 11 and p?
11
Suppose -4*o = 4*c - 44, -3*o + 5*c + 85 = 2*o. Let l = -60 - -116. What is the greatest common divisor of o and l?
14
Let t = 65 + -67. Let o be ((-544)/6)/8*3/t. Let k = -26 + 43. What is the highest common factor of o and k?
17
Suppose 20*z - 13*z = 8120. What is the greatest common factor of 8 and z?
8
Let d(s) = 5*s**2 - 3*s - 5. Let y be d(4). What is the greatest common factor of 7 and y?
7
Suppose -3*k = -0*k - 18. Let q be 38*(k/4 - 2). Let y = q + 35. Calculate the greatest common factor of 16 and y.
16
Let j = -1470 + 1474. What is the highest common factor of 96 and j?
4
Let j be (-3)/(1*1/(-3)). Let b(s) = 2*s + 61. Let p be b(10). Calculate the highest common divisor of p and j.
9
Let p(c) = c**2 - 5*c + 5. Let v be p(7). Let h = 25 - v. Let x = 35 + -17. Calculate the greatest common factor of h and x.
6
Suppose -6*s = -3*s - 12, 3*o - 20 = 4*s. Let i = 269 - 143. Let t = i - -6. Calculate the greatest common factor of o and t.
12
Let i(x) = 2*x**3 - 2*x - 3. Let q be i(3). Let g be ((-8)/(-3))/(10/q). Calculate the greatest common factor of g and 36.
12
Let n = -2827 + 3463. What is the highest common divisor of n and 4?
4
Suppose l = 3*q + 60, l + 1 + 72 = -4*q. Suppose 3*i = -4*f - i - 28, 0 = 3*i. Let r = f - q. Calculate the greatest common divisor of 60 and r.
12
Let c(p) be the first derivative of -5*p**2/2 - 4*p + 44. Let f be c(-2). What is the highest common factor of 2 and f?
2
Suppose 2*s + 4*d - 690 = 2*d, -3*d + 9 = 0. Calculate the greatest common factor of s and 42.
6
Suppose 5 = 5*m, -10 = -3*r + 3*m - 1. Let u(n) = -7*n. Let h be u(-4). What is the highest common factor of h and r?
4
Let b(t) = -t**2 - 10*t - 14. Let k be b(-5). Suppose 0 = -k*m + 17*m - 540. Calculate the highest common factor of 18 and m.
18
Suppose -26 = -d + 5*y + 4, 5*d - y = 78. Let l(a) = -46*a - 1. Suppose -4 = -4*q + 8*q. Let o be l(q). Calculate the greatest common factor of o and d.
15
Let h be (-12)/(-2)*176/12. Suppose u + x - h = -u, -2*x = -5*u + 229. Let l(q) = -15*q. Let v be l(-2). What is the greatest common factor of v and u?
15
Let v be ((-4)/6)/(1/(-6)). Let x be 2/(-14) - ((-570)/21 - 3). Let a be x/16 - (-15)/120. What is the greatest common divisor of v and a?
2
Let r(u) = -u**3 + 6*u**2 + 9*u - 2. Let w be r(6). Let a = -8 + w. Let q be 12*(2/(-3) + 1). Calculate the greatest common factor of q and a.
4
Let i be (-2)/(-7) + 472/14. Let o be (57/(-171))/((-2 + -1)/153). Calculate the highest common divisor of o and i.
17
Let d(y) = 5*y - 20. Let p(g) = 7*g - 31. Let x(z) = -8*d(z) + 5*p(z). Let a be x(-6). Suppose -h = -3 - 2. Calculate the highest common divisor of a and h.
5
Suppose 45 = 3*k + 2*j + 10, 3*k + 3*j = 39. Calculate the highest common factor of k and 96.
3
Suppose c = 1 - 5. Let a(f) = f + 8. Let x be a(c). Suppose -2*d - 94 = -4*l, -2*d + 2 = -x. What is the highest common factor of 5 and l?
5
Let f(m) = -m - 11. Let i be -6*4 + (6 - 2). Let s be f(i). What is the highest common divisor of 153 and s?
9
Let c be 3/3*36/4. Suppose 0 = 3*k + 5*u + 6, 15 = 2*k - 4*u - 3. What is the highest common divisor of c and k?
3
Let r(p) be the second derivative of -2*p**3/3 - 5*p**2 - 22*p. Let j be r(-5). What is the highest common factor of 30 and j?
10
Let n = 49 + -46. Let r = 32 + 9. Suppose 4*t = r - 5. Calculate the greatest common divisor of n and t.
3
Let y(w) = -8*w**3 + w - 2. Let u be y(-2). Let a be 8 - (4 - (-9)/(-3)). Let k = 17 + a. Calculate the greatest common factor of k and u.
12
Suppose -5*k + 200 = -655. Suppose 0 = -3*j - 21 + k. Suppose 4*c + 3*l = 34, -l - 44 = -5*c - 4*l. What is the highest common divisor of j and c?
10
Suppose -15*q = -19*q + 96. Let r be q + -3*(-10)/(-6). What is the greatest common factor of 171 and r?
19
Suppose -l = -3*l + 4. Suppose l*y = 9*y - 280. Calculate the highest common factor of 5 and y.
5
Let v be 4/10 + -3*712/(-60). Let f = v - 27. Calculate the greatest common divisor of f and 9.
9
Let n(h) be the first derivative of h**2 + 23*h - 27. Let p be n(-8). What is the highest common factor of p and 77?
7
Let u(h) = -h - 18. Let i be u(0). Let d be i/5 - (-2)/(-5). Let b be (-321)/d + 11/(-44). Calculate the highest common factor of b and 16.
16
Let a(f) = 85*f - 7. Let g be a(1). What is the greatest common factor of g and 104?
26
Suppose 5*w = 3*m - 168 - 0, -4*w + 141 = 3*m. What is the highest common factor of m and 323?
17
Let n(w) = -w. Let g(z) = 4*z + 4. Let p(y) = -g(y) - 2*n(y). Let a be p(-8). Calculate the greatest common factor of a and 12.
12
Suppose 3*a - v - 6 = 0, -5*a + 5*v + 0*v + 10 = 0. Suppose 0 = -x - 5*d + 12, 0 = 3*x - 0*x - 5*d + 4. What is the greatest common divisor of a and x?
2
Let u = -35 - 2. Let c = u - -62. Suppose 5*r + 65 = 4*d - d, 0 = -3*d - 5*r + c. What is the greatest common factor of d and 5?
5
Let g = 119 - 113. Let d = 165 - 123. Calculate the highest common factor of g and d.
6
Suppose -3*n = 4*q - 0*q - 430, -4*n = -q - 605. Calculate the greatest common factor of 350 and n.
50
Let u = 388 + -300. Let f(q) = -q**3 - 2*q**2 - 4*q - 4. Let j be f(-4). Calculate the greatest common factor of u and j.
44
Suppose -16605 = -36*i + 4095. What is the greatest common divisor of 23 and i?
23
Let p be (-70)/315 + 292/18. Calculate the highest common factor of p and 512.
16
Suppose l + 46*h - 568 = 44*h, h = 3*l - 1725. Calculate the highest common factor of l and 14.
14
Suppose -3*f - 4 = 2*m, -3 = -5*m + 2. Let w be 12/(0 - (-4 - f)). Let y be -66*(0/(-2) + -1). Calculate the highest common divisor of w and y.
6
Let l be ((-342)/(-24))/(2/16). Calculate the greatest common divisor of l and 627.
57
Let m(x) = x**3 - 12*x**2 - 18*x + 1. Let f be m(13). Let q = f + 75. What is the highest common factor of 44 and q?
11
Suppose -2*v + v - 5*o + 3 = 0, -v = 4*o - 2. Let h be 15/(v/1*(-13)/26). What is the greatest common divisor of 3 and h?
3
Suppose 23*d - 337 = -130. What is the highest common factor of 9 and d?
9
Suppose 2*h - 5*h + 9 = 0. Suppose 2*p + h*p - 2*o = 82, -