1. Suppose -f - 4*a + 27 = z, -5*f - 5*a + 3 = -57. Let b be 2*(-3)/(-6)*7. What is the highest common divisor of b and f?
7
Let a(d) = d**3 + 4*d**2 + 5. Let v be a(-4). Let g be (-2)/v + (-36)/(-15). Let y = 35 + -15. Calculate the highest common factor of g and y.
2
Let s = -15 - -43. Let u(d) = -d + 1. Let i be u(-7). Let q be (-14)/i*-2*2. What is the greatest common divisor of s and q?
7
Suppose 3*x = -s - 1, 0 = 5*s - 4*x - 54 + 21. Let a = 8 - 8. Suppose a = -s*j + 19 + 1. Calculate the highest common divisor of j and 6.
2
Let l = 6 - -1. Suppose -5 = 3*i + l. Let t(k) = -18*k - 2. Let m be t(i). Calculate the greatest common factor of m and 28.
14
Let v = 242 + -172. What is the greatest common factor of 10 and v?
10
Let p(j) = -j**2 - 5*j - 1. Let n be p(-2). Let k = n - -19. Calculate the greatest common factor of k and 8.
8
Let p = 101 - 71. What is the greatest common factor of 45 and p?
15
Suppose 6*p - 3*p - 66 = 0. Calculate the greatest common divisor of 11 and p.
11
Let y be 1*3*(-8)/(-6). Suppose 0*c + 4*c + 20 = 0. Let j be (-36)/(-1)*(6 + c). What is the highest common divisor of y and j?
4
Let q(l) = 4*l - 2. Let s be q(-4). Let k be -6*2*3/s. Let g = 1 + k. Calculate the greatest common factor of g and 21.
3
Let i(f) = 2*f. Let k be i(8). What is the highest common factor of 112 and k?
16
Suppose -12*g - 2*g + 364 = 0. What is the highest common factor of g and 78?
26
Suppose 84*n = 86*n + 514. Suppose -640 - 482 = -3*j. Let w = n + j. Calculate the greatest common divisor of 13 and w.
13
Suppose 13*q - 1400 = 9*q. Calculate the greatest common factor of 50 and q.
50
Suppose 311 + 469 = 10*u. Calculate the greatest common divisor of 52 and u.
26
Let t(w) = -w**3 + 13*w**2 - w + 21. Let o be t(9). Calculate the highest common factor of o and 48.
48
Suppose -8*l - 57 = -11*l. Let n(g) = -g**3 - g**2 + 95. Let i be n(0). Calculate the highest common factor of l and i.
19
Let v be (-10)/(-1)*3/12*98. What is the highest common factor of 35 and v?
35
Suppose 4*a - 62 = -2*h, 3*a + h = -0*a + 47. Suppose 3*s - 194 - a = 0. What is the highest common divisor of 14 and s?
14
Let x = 4 - 3. Let n be (1 - x)*(-2)/2. Suppose -103 = -k + 3*f, n = -0*k - 4*k + 3*f + 439. Calculate the highest common factor of k and 14.
14
Let w(i) = i**3 - 6*i**2 - 2*i + 8. Let a be w(6). Let x be a/(-3)*(-3 + 6). What is the highest common divisor of 8 and x?
4
Suppose 3*n - 2*q = 2*q + 104, 0 = 5*q - 20. Let p = n - 22. What is the greatest common factor of p and 144?
18
Let x = -3 + 30. What is the highest common divisor of x and 18?
9
Suppose 4*w + 5*y = 337, -5*y - 3 + 28 = 0. Calculate the greatest common factor of w and 52.
26
Let d(n) be the third derivative of n**6/120 - n**5/10 - 7*n**4/24 + 3*n**2. Let o be d(8). Let f = 120 - o. Calculate the highest common divisor of f and 6.
6
Suppose 0*t - 3*t = -39. Let y(r) be the first derivative of -9*r**2/2 + 2*r - 1. Let k be y(-7). Calculate the greatest common divisor of t and k.
13
Suppose 3*x = k + 8 - 20, 0 = -4*k - 5*x + 65. Suppose 4*i = -i + k. Suppose 2 = -2*y + 4. Calculate the highest common factor of i and y.
1
Let t = 8 - 10. Let d(v) = 6*v**2 - v**3 + 5*v + 2*v**3 + 1 - 2*v. Let k be d(t). What is the greatest common divisor of k and 44?
11
Let r be -2*2 - (-46)/1. Calculate the highest common divisor of 7 and r.
7
Let b(n) = -n + 2. Suppose -l = -5*l - 4*y, -5*y = -l. Let u be b(l). Suppose -18 = -u*f + 4. Calculate the greatest common factor of 77 and f.
11
Suppose -20 = -4*y, -6*i = -i + y - 285. Suppose -28 = 5*o - 68. What is the highest common factor of i and o?
8
Let r(d) = 2*d**2 + 3*d - 2. Let u be r(-3). Suppose 3*t - 23 = u. Calculate the highest common divisor of 110 and t.
10
Let m = -7 + 12. Let b(k) = -k**3 + 6*k**2 - 5*k. Let j be b(m). Suppose j = -y + 3. Calculate the greatest common factor of 3 and y.
3
Let p(r) = r. Let o(y) = 4*y + 13. Let q(i) = o(i) - 5*p(i). Let j = 0 + 8. Let f be q(j). Calculate the greatest common divisor of f and 1.
1
Suppose -2*h + 51 = 5*c, h - 5*c - 3 = -0*h. Suppose 4*k - h - 6 = 0. Suppose -242 = 4*i - k*i. What is the highest common divisor of 11 and i?
11
Let t be (5/(-5))/(-1) - -9. What is the greatest common factor of 15 and t?
5
Let k = 14 + -61. Let o = 75 + k. Suppose 4*j = -4*c + 28, -3*j + 3*c + 21 = c. What is the greatest common factor of j and o?
7
Let m(r) = r**3 - 4*r**2 - 4*r - 1. Let t be m(5). Calculate the highest common divisor of 44 and t.
4
Suppose 3*h + 58 = 5*y, -h = 3*y - 8 - 24. Suppose 0 = -l + y + 8. Calculate the greatest common factor of l and 133.
19
Suppose -4*u + 2*g = -7*u + 8, 5*g = u + 3. Let a(x) = -29*x**2 + 3*x. Let o be a(3). Let z be 2/8 + o/(-16). Calculate the highest common divisor of u and z.
2
Let t be (-6)/8 + 195/20. Suppose -2*p = -4*p. Let l be (1 + t)/(p + 2). Calculate the greatest common factor of 40 and l.
5
Let k(j) = 6*j - 43. Let o be k(10). What is the highest common factor of 17 and o?
17
Suppose -4*p + 2*w + 38 = 0, -5*p + 3*w - w + 50 = 0. Let s = -6 - -9. Let h(v) = 3*v - 3. Let b be h(s). Calculate the greatest common factor of b and p.
6
Suppose 23 = 3*r + 7*s - 2*s, 3*r - 13 = 5*s. What is the highest common factor of 66 and r?
6
Let b = -6 + 1. Let d = 7 + b. Suppose -2*s = d*s - 392. Calculate the greatest common divisor of s and 14.
14
Suppose 0 = 4*g - 3*j - 7, -g + 2*g = -5*j + 19. Suppose -g*b = t - 25, -2*b - b = 4*t - 126. Calculate the greatest common factor of 33 and t.
33
Let h(z) be the first derivative of -9*z + 1/2*z**2 - 5/3*z**3 + 1/4*z**4 - 2. Let j be h(7). What is the highest common divisor of j and 12?
12
Let v = -35 + 113. What is the highest common factor of v and 52?
26
Suppose 154 = 2*m - 80. What is the highest common factor of m and 39?
39
Suppose -2*u + 246 = -u. Suppose 2*k + u = 5*s, 0*s - 4*s + 189 = k. Suppose 2*x - 24 = -2*x. What is the highest common factor of x and s?
6
Suppose -2*d + 3*h - 5*h + 32 = 0, 0 = -5*d + h + 92. What is the greatest common divisor of 9 and d?
9
Let g be (-1 - -2)*3*-3. Let x = g - -13. Suppose -74 = -x*m - 26. What is the highest common divisor of m and 36?
12
Let z be (1 + 2)/(3 + -2). Suppose 2*g - 9 = z. Calculate the highest common factor of g and 48.
6
Let s be (4/(-6))/(1*(-1)/165). Calculate the highest common factor of 44 and s.
22
Let q(l) = l. Let b be q(3). Let o(n) = -5*n - 1. Let r be o(-2). What is the greatest common factor of b and r?
3
Let n(a) = 2*a**3 - 2*a**2 - 2*a - 2. Let d be n(5). Let j be (-2)/5 - d/(-20). Calculate the greatest common divisor of j and 27.
9
Let f be 12/2 + 4/1. What is the highest common divisor of f and 25?
5
Let l be 28/6 - 4/(-36)*-6. Calculate the greatest common divisor of l and 44.
4
Suppose 4 = -i - 0. Let l be i/22 - (-618)/11. What is the greatest common divisor of 14 and l?
14
Suppose -25 = -0*j - 5*j. Suppose -2*f - 2*s - 3*s = -5, -3*f + 45 = -j*s. What is the greatest common divisor of f and 90?
10
Let j(r) = -2*r + 2*r**2 - r**2 - 7 + 0. Let w = 18 + -13. Let a be j(w). What is the highest common divisor of 16 and a?
8
Suppose 4*o = 2*o + 40. Let v be 0 + o + 0 - -3. What is the highest common factor of v and 69?
23
Suppose q + 17 = 2*y - 5, -5*y - 4*q + 42 = 0. Let c = 41 + -16. What is the greatest common divisor of y and c?
5
Let x be ((-228)/(-20) - 6)/(2/10). Let k(z) = z**3 - 2*z**2 - 3*z + 3. Let c be k(3). Calculate the greatest common divisor of c and x.
3
Let w(a) = -5*a. Let u be w(3). Let r be 196/6 + 10/u. Calculate the greatest common factor of 4 and r.
4
Suppose -4*s + 18 = -b, -5*b + 3 - 8 = -3*s. Let p be b/(0 - (-2)/3). Suppose p*o - 14 = o. What is the highest common divisor of 7 and o?
7
Let i = 14 + -8. Calculate the greatest common factor of 24 and i.
6
Suppose r - 18 = -r. Suppose 4*u = 5*f + 6 + 12, 2*f = -4. Let j(z) = 12*z**3 + z + 1. Let t be j(u). What is the highest common divisor of t and r?
9
Suppose -107 + 1 = -5*g + 2*w, -5*w = 15. Let c(q) = q**3 - 5*q**2 - 6*q - 2. Let f be c(6). Let h = f + 22. What is the highest common divisor of h and g?
20
Let u(s) = 6*s - 20. Let h be u(7). What is the greatest common divisor of 11 and h?
11
Suppose -d = -14 - 3. Suppose d = -0*n + n. Let f(q) = q**2 - q + 5. Let z be f(-3)