 Suppose u*t = -t + 133. Calculate the highest common divisor of 19 and t.
19
Let t = 107 + -19. Suppose 5*g - 37 = f, -4*g + f + 44 = 5*f. Calculate the greatest common divisor of t and g.
8
Let d = 106 + -62. Suppose -5*m + 3*a + 0*a + 35 = 0, 4*a = -m - 16. Calculate the greatest common factor of m and d.
4
Let z(j) = 2*j**2 - j + 1. Let q be z(1). Suppose -q*n + 11 = -9. What is the highest common factor of 80 and n?
10
Let u = 20 - 12. What is the highest common factor of u and 8?
8
Suppose 4*p - 2*p - 52 = 0. Let w = -599 - -859. Calculate the highest common divisor of p and w.
26
Let g(f) = -10*f - 2. Let m be g(-6). Let b = m + -31. What is the greatest common divisor of 18 and b?
9
Let o = 64 - 8. Calculate the greatest common divisor of o and 42.
14
Suppose -12 - 3 = -4*l + c, l = -2*c + 6. What is the greatest common divisor of 8 and l?
4
Let h(s) = -5*s + 6. Let r(j) = 4*j - 5. Let p(i) = -5*h(i) - 6*r(i). Let m be p(2). What is the highest common factor of m and 2?
2
Let u = 61 + -41. Suppose -16 = -5*d - 2*v, -5*d + 5*v + 1 = 6. Let b be d/2 - (3 - 102). What is the greatest common factor of b and u?
20
Let m be 13/((-39)/36)*-1. What is the greatest common divisor of m and 8?
4
Let o be 13 + -11 + (8 - -1). Calculate the greatest common factor of o and 88.
11
Let r be (-19 + -1)*24/(-30). Calculate the greatest common divisor of 16 and r.
16
Let r(q) = q**2 + 25*q + 63. Let u be r(-23). Calculate the highest common factor of u and 17.
17
Suppose -s - 2 + 4 = 0. Let y = 2 - s. Suppose -3*t = -5*q + 33, -2*q + 3*t - 2*t + 14 = y. Calculate the highest common factor of q and 81.
9
Suppose 40 = 8*f - 4*f + 5*g, -5*f = 4*g - 41. Let o = -12 - -67. What is the highest common factor of o and f?
5
Let n = 4 - -9. Let i(f) = -f**3 + 6*f**2 + 5*f - 4. Let k be i(5). Let h = -7 + k. Calculate the greatest common divisor of h and n.
13
Suppose 5*l = -z + 5*z + 807, -3*z - 486 = -3*l. Suppose l = 4*v - 6*j + j, -1 = -j. Suppose 0 = o - 151 + v. Calculate the highest common divisor of o and 10.
10
Let y = -6 + 8. Let z be (2 + 3/y)*4. Let a = 227 - 157. What is the greatest common factor of a and z?
14
Let f be (5/(-2))/(3/(-30)). Let a(l) = 4*l**2 + 1. Let k be a(1). Calculate the highest common factor of f and k.
5
Let a(y) = -16*y**3 + 2*y**2 + 6*y + 12. Let d be a(-2). Calculate the highest common divisor of 17 and d.
17
Let h be (-6)/8*(4 - 12). Let c be (-2 + 5)*32/h. Suppose -4*i = 5*d - 551, -4*d = 3*i - i - 268. What is the highest common divisor of i and c?
16
Let o be 228/(-133)*(-1 + -97). Calculate the highest common factor of o and 7.
7
Let o(t) = -t**2 + 8*t + 5. Let b be o(9). Suppose 0 = 8*l - 4*l + 20. Let f = b - l. What is the highest common factor of 11 and f?
1
Let v = 4 + -6. Let s(a) be the first derivative of -2*a**2 - 3*a - 2. Let n be s(v). What is the highest common divisor of 20 and n?
5
Let g be (-6)/27 - 11/(-9). Calculate the greatest common factor of g and 7.
1
Let t(s) = s**3 - 4*s - 4. Let p be t(4). Suppose -120 = -p*h + 42*h. Let g be (24/5)/((-1)/(-5)). Calculate the highest common factor of h and g.
12
Suppose 4*c - 16 - 20 = 0. What is the highest common divisor of c and 36?
9
Suppose 2*q - 3 = -9. Let c(l) = l**2 + 2*l + 3. Let w be c(q). Calculate the highest common factor of 24 and w.
6
Let p = -3 - -27. Suppose -5*w + 2*h = -300, -2*w = -6*w - h + 240. What is the greatest common divisor of p and w?
12
Let t(r) = -r**2 + 8*r - 2. Let z be t(6). Let u = 19 - z. Suppose 0 = 3*w + 2*w - 45. Calculate the highest common factor of w and u.
9
Let j(u) = 6*u**2 + 7*u - 12. Let i be j(4). What is the greatest common factor of 7 and i?
7
Let f be (-6)/(-4) - (-57)/(-6). Let l(v) = -v**2 - 9*v - 4. Let t be l(f). What is the greatest common divisor of t and 44?
4
Let g(a) = -a + 2. Let v be g(-14). Let d be (-1)/1*1 + -2. Let b be (40/d)/(1/(-3)). What is the highest common divisor of b and v?
8
Suppose 4*f = 4*p + 6*f - 250, 0 = 2*p - 4*f - 150. Let w = -10 + 14. Suppose -w*c = -c - 78. Calculate the highest common divisor of p and c.
13
Let v = 50 + -46. Calculate the highest common divisor of v and 28.
4
Let g = -6 + 10. Suppose 3 = w + g. Let h be (1 + w - -2)*2. Calculate the greatest common divisor of 2 and h.
2
Let h = -126 - -133. Suppose -3*x = 2*x - 5. Let j be x - (-5)/((-5)/(-48)). Calculate the highest common divisor of j and h.
7
Let z(j) = -j + 10. Let v be z(0). Suppose 4*b + v = -b, 35 = 3*f + 5*b. Calculate the highest common divisor of 6 and f.
3
Let r = 57 - 38. What is the greatest common factor of r and 76?
19
Let h(u) be the first derivative of u**2 - 6*u - 1. Let j be h(4). Suppose j*p + p - 300 = 0. What is the greatest common factor of 25 and p?
25
Let a = 3 - 2. Let q be 3 + (a - (1 - 1)). Suppose 2*r - 4 = -2. Calculate the highest common factor of q and r.
1
Suppose 0 = -8*g + 7*g + 7. Calculate the highest common factor of g and 49.
7
Suppose 5*u + 2 = -2*p, 0 = -2*p + p + 4*u - 1. Let q be (2/6)/(p/(-3)). Let h be (18/(-15))/q*-10. Calculate the greatest common divisor of h and 96.
12
Let j(l) = 2*l + 1. Let f be j(5). Calculate the greatest common divisor of 88 and f.
11
Let f be 1936/36 - 1*(-6)/27. What is the greatest common factor of 27 and f?
27
Let h be (60/(-8) + 0)*-18. Calculate the greatest common factor of h and 15.
15
Suppose t + l - 32 = 0, 5*l + 62 = 5*t - 128. Calculate the greatest common factor of 14 and t.
7
Let u be 14 - (3 - 12/3). Calculate the highest common divisor of u and 15.
15
Let v(s) = -s**3 + 6*s**2 + 4*s. Let r be v(-4). Suppose 4*p - 2*f - 60 = 0, 0 = -6*p + 5*p - 4*f + 24. What is the highest common divisor of r and p?
16
Let p = 7 + -10. Let r = p - -19. What is the greatest common divisor of r and 128?
16
Let n be 2 + (0 - 0 - -2). Suppose -29 = -n*d + 23. What is the greatest common factor of d and 39?
13
Let z = 21 + -10. Calculate the highest common factor of z and 11.
11
Let s(p) = -p**3 - 8*p**2 + 2. Let d be s(-8). Let t be (1*3)/(d/4). Let n be (-1 - 0)/((-3)/162). Calculate the greatest common divisor of n and t.
6
Suppose -4*l - 2*h = -87 - 43, -l = 4*h - 22. Suppose 2*q - 123 + 21 = 0. What is the highest common factor of q and l?
17
Let m(w) = -2*w + 4*w**2 + w + 2 - w. Let p be m(3). Let z = 12 + -4. Calculate the greatest common divisor of p and z.
8
Let n(q) = -q**3 + 11*q**2 + 8. Suppose -2*r = -5*r + m + 32, 0 = 4*m - 4. Let x be n(r). What is the greatest common divisor of x and 56?
8
Let h(j) = j**3 - j + 10. Let b be h(0). Calculate the greatest common divisor of 15 and b.
5
Suppose 4 = u + 8, -12 = -g + 2*u. Let t be ((-3)/(-1 + 0))/(-1). Let a be t/(7/(-4) + 1). What is the greatest common factor of g and a?
4
Let l = 36 - 33. Let k be (-6 - -3)/((-1)/7). Calculate the highest common divisor of l and k.
3
Let n be (-5)/(9/(-2) - -4). Calculate the highest common factor of 50 and n.
10
Suppose -4*c = 22 - 2, 0 = -4*h + 4*c - 212. Let x = 118 + h. Calculate the greatest common factor of x and 150.
30
Suppose -2*s = 5*j - 27, -3*s + j - 4 + 2 = 0. Let r be ((-6)/(-4))/(3/(-24)*-3). Calculate the highest common divisor of s and r.
1
Let k(g) = -29*g**3 - g**2 - g. Let d be k(-1). Suppose -4*h + 19 = -d. Let a be 776/10 - h/20. What is the greatest common divisor of 7 and a?
7
Let i(a) = -2*a + 6. Let g be i(-6). What is the highest common factor of g and 6?
6
Let o = 173 - 53. Suppose 0 = 6*h - 64 - 8. What is the highest common divisor of o and h?
12
Let c = 50 - 30. Suppose -2*f = -13 - 3. Suppose -n + 5*n = f. What is the highest common divisor of n and c?
2
Let b = 4 + -2. Let c(q) = q**2 + 10*q + 11. Let l = -1 + -8. Let z be c(l). What is the greatest common divisor of z and b?
2
Suppose w = -5*q - 2*w + 960, 0 = -4*q + w + 785. What is the highest common divisor of 15 and q?
15
Suppose -108 = -2*b - 2*b. Suppose 4*j - b = j. What is the greatest common factor of j and 9?
9
Let j(t) be the first derivative of 5*t**2 - 2*t + 1. Let r be j(3). Let s = 39 + -25. What is the greatest common divisor of s and r?
14
Let o(m) = m**3 + 11*m**2 + 10*m + 18. Let g be o(-10). Calculate the greatest common divisor of 162 and g.
18
Let d = -166 + 490. What is the highest common divisor of d and 36?
36
Let y be (-2)/4 + (8 - (-628