(1). Suppose -54 = -t*q + 21*q. Calculate the highest common divisor of 2 and q.
2
Let b = -30 + 42. Suppose 4*a - 20 = 0, 4*x - 94 = -5*a + 27. What is the greatest common factor of x and b?
12
Let f = 883 + -491. Let m be (-2)/1 - -3 - -1. Let u be (1/2)/(m/f). What is the greatest common divisor of 14 and u?
14
Let d(o) = 8*o - 2. Let r be d(3). Let n(l) = -l + 2. Suppose -5*b + 6 = 3*j, j - 1 = -2*b + 1. Let q be n(b). Calculate the highest common divisor of q and r.
2
Let g be (8/4)/(-1 - (-4)/(-4)). Let k be 38 - 38 - 13*(-2 - g). What is the highest common factor of k and 143?
13
Let s(k) = -k + 11. Let f be s(6). Suppose -5*q + 3*h + 588 = 0, 2*q - 224 = -f*h + 9*h. Calculate the greatest common factor of q and 15.
15
Suppose r - 4 = 0, -3*r = i + i + 58. Let c = i - -37. Suppose z - 19 = -3. What is the greatest common factor of c and z?
2
Suppose 3*i - 5 = c, -10*c = -15*c - 4*i + 13. Suppose u + 4*o - c = 0, 2*o - 50 + 7 = -3*u. Let w = 326 - 190. What is the highest common divisor of w and u?
17
Let x = 3259 + -2141. Calculate the highest common factor of x and 26.
26
Let i = 14 + 70. What is the greatest common divisor of i and 60?
12
Suppose -5*l = -6*u + 5*u - 60, -l + 12 = u. Let t be ((-1)/2)/((-1)/168). What is the highest common factor of l and t?
12
Suppose -h = -6*h + 105. Suppose 5*y - 270 - 235 = -4*r, -3*r - 435 = -4*y. What is the highest common divisor of h and y?
21
Suppose 3*t + 6 = 0, f + 3*f = 2*t + 68. Let n(j) = -33*j + 12. Let o be n(-4). Calculate the greatest common divisor of o and f.
16
Let l be (6 - 1 - 0)/(2 + -1). Let s = -60 + 105. What is the highest common divisor of s and l?
5
Suppose 1692 + 1708 = 20*p. What is the highest common factor of 136 and p?
34
Suppose 0 = a - 21 + 4. Let z = a + 2. Let p = z - 16. Calculate the greatest common divisor of p and 27.
3
Let m be 3*3 - (4 + -2). Let a = 505 - 428. What is the greatest common divisor of a and m?
7
Suppose 202*w = 214*w - 720. What is the highest common divisor of 390 and w?
30
Let k be 192/(-40)*(-75)/6. What is the highest common factor of k and 8?
4
Suppose -2*d + 96 = 2*d. Let i = 1718 - 1710. Calculate the greatest common divisor of d and i.
8
Let x = 8 + -2. Let r = 8 - x. Suppose 0*m + 26 = r*m. Calculate the greatest common factor of m and 13.
13
Let q be 660/28 - 6/(-14). Let y be (-2)/(8/(-32) + (-2)/q). Calculate the highest common factor of y and 2.
2
Suppose 0*i - 5*f + 188 = 2*i, 344 = 4*i + 2*f. Let z(a) = -80*a - 918. Let g be z(-12). What is the greatest common divisor of g and i?
42
Suppose -4*g - 3*h + 112 = h, 3*h - 6 = 0. Let a = -20 + 33. What is the greatest common factor of a and g?
13
Suppose -l - 3*l + 25 = 5*u, -u = l - 6. Suppose 116 = 3*o + 11. Calculate the greatest common divisor of l and o.
5
Let n = 294 + -275. What is the greatest common divisor of 19 and n?
19
Let c(t) = t**2 - 7*t + 14. Let g be c(8). What is the highest common divisor of 14 and g?
2
Let s be (8/(-1))/((-76)/646). Calculate the greatest common divisor of s and 374.
34
Let q be 38/(26/12 - (-34)/(-17)). Calculate the greatest common factor of q and 304.
76
Let n = -815 + 1594. Calculate the greatest common factor of n and 41.
41
Let n be (-5)/(-1) - (-311 + 0). Calculate the highest common factor of 4 and n.
4
Suppose 6*d - 222 = -66. Suppose 0 = 7*m - d - 37. What is the greatest common factor of 45 and m?
9
Let u = 256 - 196. Let i be 3*16 + (-18)/6. What is the highest common divisor of i and u?
15
Let l(f) = -42*f + 30. Let c be l(10). Let k = -192 - c. Calculate the greatest common divisor of 18 and k.
18
Let h(w) = -2*w**2 - 5*w - 2 + 13*w**2 - w**3 - 3*w**2 - w. Let z = -10 - -16. Let b be h(z). What is the greatest common factor of 51 and b?
17
Suppose -74 = -4*n - 34. Let x(t) = t**2 + 2*t - 8. Let i be x(-8). Suppose 0*v - 2*v = -i. What is the greatest common factor of v and n?
10
Suppose 7*f - 5 - 37 = 0. Suppose -f*d - 26 = -5*y - 7*d, 0 = -5*d + 5. Let i be (-4)/(-2) + (-2)/2. What is the greatest common divisor of y and i?
1
Suppose 3*g = -b + 512, -5*g - 4*b = -1168 + 310. Calculate the highest common divisor of 68 and g.
34
Let h = 19 + -15. Suppose 4*l = 134 + 202. Suppose h*p = p + l. What is the greatest common factor of 7 and p?
7
Suppose -3*o - 298 = -0*k + 2*k, -2*k = 2*o + 302. Let g = k + 295. Calculate the highest common divisor of 28 and g.
28
Let a = 8 - -32. Let u(k) = -k**2 + 5*k + 2. Let m be u(5). Suppose -z - 8 = -m*z. What is the highest common divisor of a and z?
8
Let w be 17 - -49 - (12/2)/2. What is the highest common divisor of 49 and w?
7
Let q be (12/9)/((-1)/(-12)). Let z(r) = -1 - 4 + 3 + 11 + 5*r. Let p be z(3). Calculate the highest common factor of q and p.
8
Suppose 4*s - 5*d - 65 = 0, s + d - 5 + 0 = 0. Suppose 3*h - s = h. Let n be 5 - 0/((-3)/1 + 4). Calculate the greatest common divisor of h and n.
5
Let a(p) = p - 7. Let l be a(9). Suppose l*t - 21 = -2*g - 5, -3*t - 16 = -g. Calculate the greatest common divisor of g and 1.
1
Suppose -6*q + 9*q - 1331 = 5*o, 5*o = -q + 437. What is the greatest common divisor of q and 68?
34
Suppose -4*v + 22 = s + v, 2*v - 6 = s. Suppose -y = -23 + s. What is the highest common divisor of y and 231?
21
Let h(f) = 5*f - 1. Let z be h(-2). Let m = -11 - z. Suppose -5*n + 70 = -m*n. Calculate the highest common factor of n and 70.
14
Let i(c) = 3*c - 35. Let b(a) = -a + 17. Let s(k) = 5*b(k) + 3*i(k). Let n be s(10). Calculate the greatest common divisor of 160 and n.
20
Let i = -56 + 50. Let w(q) be the first derivative of q**3/3 + 5*q**2/2 + 8*q + 2. Let z be w(i). What is the greatest common divisor of 35 and z?
7
Let w = -17 + 27. Suppose 4*u + 3*z + 54 = 14, -w = u + 2*z. Let f be ((-30)/u)/(3/5). Calculate the highest common divisor of f and 35.
5
Suppose -r - 13 = 5*n, 0 = 2*r - 0*n - 2*n + 86. Let j = 46 + r. Calculate the highest common divisor of 104 and j.
8
Let n = 47 + -44. Suppose 0 = -5*u, -2*k - 3*u - 9 = -n*k. Calculate the highest common factor of 63 and k.
9
Suppose -5*w - 3*g - 5 = -7*g, -5*w + 5 = -2*g. Suppose -95 + 320 = w*t. What is the greatest common divisor of t and 30?
15
Suppose 3*i = -8*i + 1540. Suppose i = -35*z + 39*z. Calculate the greatest common divisor of 7 and z.
7
Let d = 206 - 181. Let g = 182 - 7. Calculate the greatest common divisor of g and d.
25
Let x(c) = -10*c + 0*c**2 + 125 - c**2 - 139. Let d be x(-9). Let n be (-4)/(1 + d) - -74. What is the greatest common divisor of 50 and n?
25
Suppose -50*u - 94 + 544 = 0. Calculate the highest common factor of 1881 and u.
9
Suppose 10*o = -11*o + 2205. Calculate the greatest common divisor of 21 and o.
21
Let t be (-8)/(-10)*-3 + 2/5. Let y(d) = d**3 + 5*d**2 - 2. Let o be y(t). What is the greatest common divisor of o and 70?
10
Let t(c) = 2*c - 8. Let i be t(6). Suppose 8*r - i*r = 48. Let m(y) = y - 7. Let k be m(15). What is the greatest common divisor of k and r?
4
Let i be ((-33)/(-22))/((-2)/(152/(-3))). What is the highest common divisor of 1349 and i?
19
Suppose 88 = -2*m + 4*o + 324, -4*o = -4*m + 452. What is the greatest common divisor of m and 120?
12
Suppose -2*l = -5*v + 84, 4*v = 2*v - 3*l + 26. Let y be (-5 + 4)*2/(-1). Calculate the highest common factor of v and y.
2
Suppose -2*p - 60 + 156 = 0. Let x be 1 + ((-2)/(-1) - -9). What is the highest common factor of p and x?
12
Let s(l) = 6*l - 83. Let g be s(33). Calculate the highest common factor of 46 and g.
23
Let d be (-4)/(-24) - 3663/(-54). Calculate the greatest common factor of 68 and d.
68
Suppose 5*x - 159 = -59. Calculate the highest common divisor of x and 45.
5
Let i = -18 - -25. Suppose -4639 = -43*m - 1328. Calculate the highest common factor of i and m.
7
Let l = 22 + -17. Let g(r) = -r**2 + 7*r - 3. Let m be g(l). What is the highest common factor of m and 21?
7
Let t be ((-13)/(-2))/(1/(-18)). Let x = t + 208. Let q be (-41268)/(-2896) + 1 + (-27)/12. What is the highest common divisor of x and q?
13
Let q(t) = t**3 - 4*t - 1. Let v be q(-4). Let g = 117 + v. What is the greatest common divisor of g and 17?
17
Suppose -4*a = 5*z - z - 60, 5*a - 77 = -3*z. What is the highest common factor of 2 and a?
2
Let x = 19 - 9. Suppose -4*i - 6 = -x. What is the highest common factor of i and 7?