
Let i be ((-1)/2)/(-1 + 23/24). Calculate the highest common divisor of i and 8.
4
Suppose -10*d + 196 = -6*d. Suppose 0 = -3*y - 12, -2*g + 5 - 1 = -y. Suppose -4*b + 2*b + 14 = g. Calculate the highest common factor of b and d.
7
Suppose 3*v - 43 = -k, -3*k + 4*v = -k - 106. What is the greatest common factor of k and 14?
7
Let k = -267 + 311. What is the greatest common factor of k and 121?
11
Let f be (25 + -21)/(((-4)/(-2))/70). Suppose -4*d = 4*k - 48, -5*d - 10 + 58 = -k. Calculate the highest common divisor of d and f.
10
Let d be (-2)/(0 + (-1)/(-1)). Let c = -304 + 524. Let l be c/8 - (-3)/d. Calculate the highest common divisor of 65 and l.
13
Let q(g) = g**3 - 14*g**2 - 17*g + 20. Let l(y) = y + 6. Let h be l(9). Let z be q(h). Let s = z + 12. What is the highest common factor of 10 and s?
2
Let r(i) = -i**3 + 13*i**2 - 14*i + 43. Let a be r(12). Suppose -5*m + 2*u = 3*u - 660, -5*m - 2*u = -655. What is the highest common divisor of a and m?
19
Let n(y) = 7*y**2 - 90*y - 4. Let z be n(13). What is the greatest common divisor of z and 297?
9
Let d = -9 + 331. What is the greatest common divisor of d and 14?
14
Let a = -8 + 5. Let n be 8 + a + -2 + -4. Let x be (5 + 11)*(-1)/n. Calculate the highest common divisor of 80 and x.
16
Let c = 333 - 303. Calculate the greatest common factor of c and 185.
5
Let g = 718 - 412. What is the greatest common divisor of 9 and g?
9
Let j be 4 + (-3)/6*2. Suppose 4*g - 88 = 2*p + p, j*p = 2*g - 44. Let t = -129 + 184. Calculate the greatest common divisor of t and g.
11
Let t = -1 - -2. Suppose -v = -17 - t. What is the greatest common factor of 2 and v?
2
Let o(n) = n**2 + 8*n + 12. Let q be o(-10). Suppose -7*a = a - q. Suppose -a*p - 11 + 47 = 0. Calculate the greatest common divisor of p and 90.
9
Suppose 158 = d - 5*n, 3*d - 30 = 5*n + 494. Calculate the highest common factor of d and 427.
61
Let h = -84 - -85. Let y be 76*(1 - h/4). Calculate the greatest common factor of y and 228.
57
Suppose 0 = b + g - 150, -2*b - 11*g + 8*g + 296 = 0. What is the highest common divisor of 42 and b?
14
Suppose -168 = -11*s + 107. What is the greatest common factor of 40 and s?
5
Let b(g) = -g**3 - 2*g**2 + 22*g + 7. Let z = -88 + 81. Let t be b(z). Let d be (-1*14)/(-3 - -2). What is the greatest common divisor of d and t?
14
Let d(q) = q**2 + 6*q + 17. Let t = -44 + 35. Let u be d(t). Calculate the greatest common divisor of 55 and u.
11
Suppose -d - 5*d = -3*d. Suppose -2*k + 2 = -3*a, -5*k = -10*k - 4*a - 18. Let f be 13 + k + (d - -4). What is the greatest common factor of 10 and f?
5
Let k = 744 + -640. Calculate the highest common factor of 16 and k.
8
Suppose -8*k = -36492 + 36444. Let u = 0 + 4. What is the greatest common factor of u and k?
2
Suppose 9*s + 105 = 3750. What is the highest common factor of 30 and s?
15
Suppose 396 = 2*w + 2*w. Let q be -8*2/((-24)/45). Let f = -21 + q. Calculate the highest common divisor of w and f.
9
Let m be 5/((-15)/(-9)) - 1. Suppose 4*h + m*v = 80, h - 4*v = -h + 30. Calculate the greatest common divisor of 171 and h.
19
Let k = 0 + 3. Let c(t) = 4*t**2 + 1546*t + 1544*t - 3092*t - 4. Let z be c(k). Calculate the highest common factor of z and 26.
26
Let n(a) = -a**3 + 14*a**2 + 14*a + 18. Let j be n(15). Suppose -3*h = -3*f + h + 32, -4*f + j*h = -52. What is the greatest common divisor of 64 and f?
16
Let g(i) = i + 19. Suppose -2*m - 3*q = -2, -5*m - 4*q + 17 + 2 = 0. Let l be g(m). What is the greatest common factor of l and 26?
26
Suppose 95 - 93 = b. Suppose b*k - 34 = -2*x + 4*k, k = 5*x - 105. Calculate the highest common factor of 22 and x.
22
Suppose 0 = -2*j - 5*l + 23, 3*j + 9*l = 4*l + 37. Calculate the greatest common divisor of 16 and j.
2
Suppose 31*j = 8*j + 1495. Calculate the highest common factor of 13 and j.
13
Suppose -d - 18603 = -4*q, q - 134*d - 4653 = -133*d. What is the greatest common factor of q and 50?
50
Let i(r) = 8 - 3 - 2 - r + 2*r**2. Let w be i(3). Suppose k = -7, 7*k + 16 = -g + 3*k. Calculate the greatest common divisor of w and g.
6
Let n be (-1)/(2/2) - -2. Let z be 11 - (0 + -1 + n). Suppose 41*h = 55*h - 1386. What is the highest common divisor of h and z?
11
Suppose 5*c + 1105 = b, -2*c = -2*b - 294 + 2504. What is the greatest common divisor of b and 85?
85
Let l = 104 - 74. Let a be (l/(-4))/((-10)/20). Calculate the greatest common divisor of 5 and a.
5
Let m(j) = -j**3 - 2*j**2 - j + 3. Let k be m(0). Let q(a) = a**3 - 2*a**2. Let b be q(k). Calculate the greatest common factor of 99 and b.
9
Let l(y) = -y**3 - 14*y**2 + y + 18. Let q be l(-14). Suppose r = -4*z + 17, 0 = q*r + 4*z - z - 68. Calculate the highest common factor of 17 and r.
17
Suppose 4*z = 2*a - 314, 4*a - z - z = 652. Suppose -15*t - a = -20*t. What is the highest common divisor of 363 and t?
33
Let g be -1 - -3 - 6*5/15. Suppose 10*u - 4*u - 168 = g. What is the greatest common factor of u and 14?
14
Let p = 983 + -962. What is the greatest common divisor of 476 and p?
7
Suppose j + 404 = 5*j. Let i(m) = 6*m + 7. Let h be i(-7). Let y = h + j. Calculate the greatest common factor of 6 and y.
6
Let x = 20 + -20. Let m = 6 + x. What is the greatest common factor of 2 and m?
2
Suppose -3*d - 4*l + 1745 = 0, -d + 5*l - 2*l = -560. Suppose 0 = 4*v + v - d. Suppose 0*w + w = v. What is the greatest common factor of 46 and w?
23
Let i = -6 + 2. Let n = i + 6. Suppose 3*s - 51 = -f, -5*s + 5*f - n + 107 = 0. Calculate the greatest common divisor of s and 54.
18
Let j = -97 + 90. Let z be (58/6)/(j/(-63)) - -4. Calculate the highest common factor of z and 7.
7
Suppose u + 2*t - 58 = 0, -2*u + 123 + 18 = -t. Let c = 2 + u. Let y = c + 128. Calculate the greatest common divisor of y and 22.
22
Let s = 61 + -48. Suppose 3*p + d - s - 9 = 0, 3*p - 3*d - 42 = 0. What is the greatest common divisor of p and 81?
9
Let p be -4 + 6/9 + 7714/21. Calculate the highest common divisor of p and 208.
52
Suppose 128*u + 162 = 134*u. What is the highest common factor of 15 and u?
3
Let s be (-4347)/(-72) - 6 - 3/8 - 4. Let x be (-996)/(-10) - 4/(-10). Calculate the highest common divisor of x and s.
50
Let b = -429 + 705. Suppose 0 = -18*q + 12*q + b. What is the greatest common divisor of 69 and q?
23
Suppose -4*l - 341 = -5*m, 21*l = -3*m + 22*l + 199. Suppose -41 = -4*i + i + 2*r, i = 5*r + 18. Calculate the highest common factor of m and i.
13
Let h be (49 + -13 + -12)*3/4. Calculate the highest common factor of h and 18.
18
Let i(j) be the first derivative of -j**2/2 - 2*j - 6. Let w be i(-6). Suppose -w*o + 7 = -1. What is the highest common factor of o and 14?
2
Let r be (-555)/(-6) - 160/64. What is the highest common factor of 405 and r?
45
Let x(y) = -1 - 8 + 5 - 25*y + 5*y. Let p be x(-3). Suppose -3*w = -p - 10. What is the greatest common factor of 2 and w?
2
Let l = 3 + -3. Suppose -2*w + 4 = u, l = -w + 5*w + u - 12. Let i be 33/6 - (-6)/w. What is the greatest common factor of 7 and i?
7
Let d(a) = a**2 + 4*a + 4. Let b be d(-4). Suppose 4*u + 37 + 25 = o, o + 5*u = 53. Let z = o - 54. What is the greatest common divisor of b and z?
4
Let g(j) = 5*j**2 + 8*j + 40. Let s be g(-3). What is the highest common divisor of s and 183?
61
Suppose 5*i - 1433 = -4*w, -107*i + 108*i = -2*w + 289. Calculate the highest common divisor of 45 and i.
15
Let x = 44 - 26. Suppose 0 = -2*s + 71 - 19. Suppose 19 = v - s. What is the highest common factor of x and v?
9
Suppose 8*v - 2450 - 2886 = 0. What is the greatest common factor of v and 23?
23
Let b(u) = -2*u**2 - 15 - 4*u**2 - 20*u + 5*u**2. Let h be (1*(-170)/(-40))/((-1)/4). Let l be b(h). Calculate the highest common factor of l and 12.
12
Let s = 25 + -15. Let f = -22 - -58. Let x = f + -21. What is the greatest common factor of s and x?
5
Let d(t) = -2*t**3 - 3*t**2 + 3*t - 5. Let v be (-4 + -1 + 1)*(5 + -4). Let w be d(v). Calculate the highest common factor of w and 9.
9
Suppose -8*p + 19*p = 286. Calculate the greatest common divisor of 52 and p.
26
Let p(s) = -6*s + 324. Let q be p(44). What is the greatest common divisor of 420 and q?
60
Suppose -2*d + 5*d + 57 = 0. Let m = d + 25. What is the highest common factor of m and 9?
3
Suppose 0 = 4*r + r + 2*r. Suppose o + 3*o + 115 = 5*k, k - 2*o - 17 = r. 