Suppose 4*q - 5*f = 25, -24 = -3*q + 1772*f - 1769*f. What is the highest common divisor of q and 1107?
3
Let z(j) = -j**2 - 16*j - 50. Let l be z(-11). Suppose 0 = s + 5*p - 24, -l*s + 0*p = -3*p - 120. Calculate the highest common divisor of 84 and s.
12
Let a = 901 + -869. Suppose -21*v + 220 = -a. Suppose j = 3*p - 356, 1 = -2*j + 9. What is the greatest common factor of v and p?
12
Let x = 72 - 70. Suppose 4*q + 5*u - x*u = -541, 0 = -2*q - 5*u - 281. Let o = -93 - q. Calculate the greatest common factor of o and 8.
8
Suppose -68*j - 23898 = -54*j. Let m = j + 1715. Let y = -1 - -2. Calculate the highest common divisor of y and m.
1
Suppose -177 = -3*b - y, -4*y + 135 = 2*b - 9*y. Suppose 3*q = -q + b. Calculate the greatest common divisor of 6 and q.
3
Let a(i) = -i**2 - 5*i - 2. Let u(j) = 4*j**2 - j - 1. Let w be u(-1). Let t be a(w). Let c = t - -43. What is the greatest common factor of c and 15?
5
Let s(i) = -i**2 - 45*i + 632. Let x be s(11). Calculate the highest common divisor of 1272 and x.
8
Suppose 0*d = -5*d - 3*b + 366, 2*d = -2*b + 148. Let u(j) = 3*j - 117. Let k be u(48). Calculate the greatest common factor of k and d.
9
Let g = -5082 - -5094. Let z be 5*-4*16/(-20). What is the highest common factor of g and z?
4
Let t = -5295 - -6320. What is the highest common divisor of t and 150?
25
Suppose 482*c - 4032 = 480*c - 4*t, -5*c + 10096 = 6*t. Calculate the greatest common divisor of c and 264.
88
Suppose -2*j = 8*a - 94124 - 47030, 4*j = 2*a - 35320. What is the greatest common divisor of a and 306?
102
Let y be (0 + -3)/(-1*1/7). Let c(j) = -j**3 + 22*j**2 - 15*j + 42. Let l be c(y). Calculate the greatest common divisor of l and 126.
42
Suppose 4*y + 33 = -103. Let t be 459/y*(-3 - 1). Suppose 0 = -0*w - 2*w + 36. Calculate the greatest common factor of w and t.
18
Let m = -444 - -670. Suppose 6*o = m + 140. Calculate the greatest common divisor of o and 671.
61
Suppose 0 = 9*q - 111 + 12. Let u(m) = 2*m - 9 + 1 - 2. Let x be u(q). Calculate the greatest common divisor of x and 48.
12
Let a = 2117 - 675. Calculate the greatest common factor of a and 21.
7
Let t(l) = l**3 + l**2 - 15*l - 4. Let i be t(4). Let u(n) = -15*n - n + 0*n + 16 + n**2. Let p be u(i). What is the greatest common factor of 64 and p?
16
Suppose -122850 = -555*q + 477*q. What is the greatest common divisor of q and 63?
63
Let q(x) = -21*x + 4. Let c be q(-1). Let u(h) = 4*h**3 + h**2 + 2. Let j be u(6). Let f = -627 + j. Calculate the highest common divisor of f and c.
25
Let a be -314 - (6*-2)/4. Let f be (0 - 1)/(1/a). Suppose -5*v + 2*p + 1410 = -2*p, -v - 5*p + f = 0. Calculate the highest common divisor of 26 and v.
26
Let o(n) be the third derivative of 7*n**4/6 + 5*n**3/3 - 41*n**2. Let i be o(5). Let a = i - 105. What is the greatest common divisor of 5 and a?
5
Let u(a) = a**3 + 56*a**2 + 382*a + 54. Let f be u(-48). Calculate the greatest common divisor of 1725 and f.
75
Let z = -104 + 53. Let w be (3/(-2))/(z/374). Let l = -341 - -385. What is the greatest common divisor of l and w?
11
Suppose -453*a - 1024 = -469*a. What is the highest common divisor of 3 and a?
1
Let b be 4/3*((-450)/20)/(-15). Suppose -15*f - 310 = -17*f + b*h, 0 = -5*h. Calculate the highest common factor of 10 and f.
5
Suppose 37*f - 101 = 1009. Calculate the highest common factor of f and 820.
10
Suppose 0 = 72*q - 105*q + 15015. Calculate the highest common factor of q and 665.
35
Let d be (84/10)/((-3)/(-20)). Let t(s) = s**2 + 7*s - 190. Suppose -33*r + 222 = -141. Let v be t(r). What is the greatest common divisor of v and d?
8
Let g be (2/(-2) + 3 - -3) + -19. Let x(h) = 2*h**2 + 24*h - 54. Let o be x(g). Calculate the greatest common factor of o and 64.
2
Let c(g) = 881*g + 1921. Let y be c(-1). Calculate the highest common factor of 1625 and y.
65
Suppose -4*l + 81*y + 62 = 76*y, 0 = -4*y - 24. Calculate the greatest common factor of 7608 and l.
8
Let v(t) = 15*t - 1. Let d be v(-1). Let k be d*((-13)/4 - -2). Suppose 0 = 74*o + 881 - 6801. What is the greatest common factor of o and k?
20
Let z be (-4)/(-8)*-12 - -1782. Suppose -16*o - 21*o = -z. What is the greatest common factor of 36 and o?
12
Let o be 23 + -9 - (-14)/2. Let w be -8 + 179 - (0 - 1). Suppose 2*a - 11 = 5*g + w, -3*a + 2*g + 258 = 0. What is the greatest common divisor of o and a?
21
Let d(u) = 13*u**2 + 13*u - 172. Let w be d(6). What is the highest common factor of 2024 and w?
22
Suppose -1953 = 4198*w - 4207*w. What is the greatest common factor of 465 and w?
31
Let u = 12319 - 11540. What is the highest common factor of u and 1517?
41
Suppose 0 = -475*f + 461*f + 42. Suppose -503 - 106 = -7*x. What is the greatest common divisor of f and x?
3
Let s be (-3)/2*(-2688)/24. Suppose -330 = 3*t - 5*t. Suppose -u + 3*u + 4*m - s = 0, -t = -2*u - 5*m. Calculate the highest common divisor of u and 30.
30
Let b(o) = -2*o**2 - 115*o - 627. Let a be b(-51). Suppose -8 = -5*c + 2. Let p be -18*(-1 + c/(-4)). Calculate the greatest common divisor of a and p.
9
Let a = -70 + 80. Let d be (2/3 + (-140)/(-6))*a. Calculate the greatest common factor of 96 and d.
48
Let s(c) = 8*c + 14. Let g be s(2). Let q = g - 10. Let x(y) = 20*y. Let r be x(9). Calculate the greatest common factor of q and r.
20
Let t = -508 + 510. Suppose -t*g = 9*g - 110. Calculate the highest common factor of g and 40.
10
Suppose -119*d = 232*d - 153036. Calculate the greatest common factor of d and 16.
4
Let p(k) = -23*k + 19. Let i be p(-1). Suppose 5*o = 10*o - 105. Calculate the greatest common factor of i and o.
21
Suppose 329*d - 1942 = -626. What is the greatest common divisor of d and 15536?
4
Suppose -5*z = -4*d + 61, 2*d - 33 = 82*z - 77*z. Calculate the highest common factor of 14056 and d.
14
Let x = 6116 + -6107. What is the highest common factor of 20322 and x?
9
Suppose -230*s + 77*s + 1989 + 2295 = 0. Suppose -j = 3*j - 1400. What is the greatest common factor of j and s?
14
Let j(v) = 1638*v - 9812. Let a be j(6). Calculate the highest common factor of 3920 and a.
16
Let k be (-2383684)/(-464) + 2/(-8). Calculate the greatest common factor of k and 11.
11
Suppose 6*h - 323 - 205 = 0. Suppose 15*p - 19*p = -h. Calculate the highest common divisor of p and 55.
11
Suppose -5*n + 6*n - 4*u - 141 = 0, 120 = n + 3*u. What is the highest common divisor of 9 and n?
3
Suppose 11*c - 13*c - 21 = -191. Suppose 0 = 2*s - 0 - 10. What is the greatest common factor of c and s?
5
Let f = 103 + 144. Let d = f - 235. Calculate the greatest common divisor of d and 21.
3
Let c = 43 + -128. Let y = -73 - c. What is the greatest common factor of y and 252?
12
Suppose -67 = -3*i + 35. Let l = -10795 + 11169. Calculate the greatest common divisor of l and i.
34
Suppose 10*k + 0*k + 103944 = 22*k. Calculate the highest common factor of k and 610.
122
Suppose -29*o = 30*o - 65*o + 25032. Calculate the greatest common divisor of 56 and o.
28
Suppose -b - 197 = -3*u, 3*u + 91 - 286 = 3*b. What is the highest common factor of u and 936?
6
Suppose 2*k - 2*b - 20 = 0, -b + 90 = 5*k + 2*b. Let s = 180061 + -180040. What is the greatest common factor of k and s?
3
Let c be (-90)/1035 + 744/92 + (-4 - -1). Let y be 6/(-4)*(-1 + -1). Let t be (-10)/y*3/(-2). Calculate the greatest common divisor of c and t.
5
Let i be 1/(20/18 + -1). Let o be (-39 - (-3060)/72) + (-2)/4. What is the greatest common factor of i and o?
3
Suppose -2*o + 15*f = 12*f + 3, -4*f + 12 = 0. Suppose -2*h + 651 = -5*x, o*h + 5*x = x + 1034. Calculate the highest common factor of 26 and h.
26
Let o be (84 + 1)*(-1)/((-189)/(-28) - 8). What is the greatest common factor of o and 10438?
34
Let z = -48 + 60. Suppose 16*j - z*j = 20. Suppose 2*q - 20 = -2*g, -22 = -3*g - 2*q + j. Calculate the highest common factor of 14 and g.
7
Let n(p) = 4*p**3 + 14*p**2 - 9*p + 4. Let q be n(4). Calculate the highest common factor of q and 196.
28
Let y(k) = -k**3 - k - 1. Let g(a) = -6*a**3 + 9*a**2 - 26*a + 6. Let s(x) = -g(x) + 5*y(x). Let q be s(6). What is the highest common factor of 35 and q?
7
Suppose 4*f - 3 - 9 = 0. Let d = -193 + 199. Suppose -w = 2*n - 30, -d*w + 3*w = 0. Calculate the greatest common divisor of n and f.
3
Suppose 3*f - 65 = -b, 19 = 3*b - 2*f - 231. What is 