8
Let o = 616 - 431. Suppose -2*b + 0*b - 5*s = -o, 3*s = -4*b + 335. Calculate the highest common divisor of b and 10.
10
Let c(w) = w**2 - 4*w - 8. Let q be c(-4). What is the highest common divisor of 144 and q?
24
Let l(b) = 0*b**2 - b**2 + b - 12 - 16*b. Let c be l(-12). What is the greatest common factor of 6 and c?
6
Let r be -15*1/(4 - 3). Let j be (-21)/r - 4/10. Calculate the highest common divisor of 5 and j.
1
Let h = 0 + 45. Suppose 32 = 3*c + 4*u - 2*u, 0 = -3*c - 5*u + 35. Suppose 0 = 2*p - 8 - c. What is the greatest common divisor of h and p?
9
Let x be (2/(-4))/(1/10). Let q be (-1)/x - (-156)/20. Calculate the greatest common factor of 2 and q.
2
Suppose 5*b + 5*o = 95, 3*b - 67 = -0*b - o. Suppose 0*v - b = -v. Calculate the highest common divisor of 16 and v.
8
Suppose 0*s = 4*s. Suppose r + 3*q - 122 = 0, -3*r = -s*q - 2*q - 399. Let n = -61 + r. What is the greatest common divisor of n and 10?
10
Let z be 55/2 + (-5)/(-10). Let v be z/6*(-6)/(-4). Let t(m) = -m**3 + 6*m**2 + 9*m - 9. Let k be t(v). Calculate the highest common factor of k and 20.
5
Suppose 0 = -d - 0 + 3. What is the greatest common divisor of 6 and d?
3
Let j(r) = 5*r**2 - 12*r - 9. Let w be j(-4). Calculate the highest common divisor of w and 34.
17
Let b = 156 + -60. What is the highest common factor of 6 and b?
6
Let d = 299 + -142. Suppose -2*c + d = 25. Suppose 0*u = -2*u + 12. Calculate the highest common factor of c and u.
6
Suppose -3*d + v = -6, v + 7 = -5*d - 3*v. Let r = d + 0. Let x be (16 + r/1)/1. What is the greatest common factor of x and 153?
17
Let m(z) = z**2. Let t be m(3). Let p(h) = h + 15. Let k be p(-6). What is the greatest common divisor of k and t?
9
Let w(z) = z + 36. Let o be w(-28). Calculate the highest common factor of o and 6.
2
Suppose 0*a + 115 = 3*a + 5*j, 5*a - j - 229 = 0. Suppose 7 = m + 2. What is the greatest common divisor of m and a?
5
Let o be (-8)/76 + (-3080)/(-19). Calculate the greatest common factor of 6 and o.
6
Let x be -2 - (4 - 54/1). Suppose -x = -o - o. What is the greatest common divisor of o and 60?
12
Let l = -4 + 7. Suppose -5*j = 2*d - 71, -5*d - l*j = -2*j - 235. What is the highest common divisor of 12 and d?
12
Let c(m) = -8*m. Let v be c(-8). Calculate the greatest common factor of 8 and v.
8
Let u(q) = q**2 - 6*q + 10. Let r be u(4). Let c be (8 - 12) + 28/r. Calculate the highest common divisor of c and 60.
10
Let l(p) = -p + 2. Let w be l(-2). Suppose -3*g + 95 + w = 0. What is the greatest common factor of 11 and g?
11
Suppose -t - s = -6*s - 21, -s - 69 = -2*t. What is the greatest common divisor of t and 144?
36
Suppose -3*l - u = -8, -4 = -l - 2*l - 5*u. Let k(q) = q**3 + q**2 + q - 2. Let g be k(-2). Let v = g + 9. What is the highest common divisor of l and v?
1
Suppose 54 = 4*b + 5*l, 0*l + 61 = 5*b + 3*l. What is the greatest common factor of b and 11?
11
Let t(p) = -p**3 + p**2 + p + 1. Let u(c) = 5*c**2 + c - 10. Let r(j) = t(j) + u(j). Let n be r(6). Calculate the greatest common factor of n and 6.
3
Suppose -m = -98 - 0. Calculate the greatest common factor of 14 and m.
14
Let v = -26 + 57. Suppose 18 + 4 = -j. Let d = v + j. Calculate the highest common factor of d and 6.
3
Let d be 0/(-1 - -3 - -1). Suppose 6 + d = 2*j. Let c = -2 - -8. Calculate the highest common divisor of c and j.
3
Let i = 14 - -14. What is the highest common divisor of 224 and i?
28
Let k = 2 + -19. Let g = 1 - k. Let v be g/(-24)*(1 + -5). Calculate the highest common factor of v and 6.
3
Suppose -4*k - 4*r + 112 = 0, 5*k + 0*r = 4*r + 131. Calculate the highest common factor of k and 189.
27
Suppose 5*w + 31 = 121. What is the highest common factor of 2 and w?
2
Suppose g = -2*g + 12. Suppose -g*f + 39 = 15. What is the greatest common divisor of f and 6?
6
Let z(q) = q**3 + 5*q**2 - q + 1. Let g(h) = h + 6. Let x be g(-10). Let o be z(x). Let j = 6 + 8. What is the highest common divisor of o and j?
7
Let y be 8/6*792/16. What is the greatest common divisor of 165 and y?
33
Let l = 12 + -7. Suppose -i + 5*i - 4*p - 56 = 0, -2*p = l*i - 84. What is the highest common factor of i and 128?
16
Suppose -2*v + d = -21, 4*d - 1 + 13 = 0. Calculate the greatest common factor of 1 and v.
1
Suppose 2*t - 74 = -5*w, t - 2*t = 3. What is the highest common factor of w and 32?
16
Let d(g) = 91*g + 5. Let f be d(4). Suppose -4*i - 20 = 0, -5*c + 2*i - 79 = -f. What is the greatest common factor of 7 and c?
7
Suppose 0 = -5*n + 108 - 13. Calculate the highest common factor of 19 and n.
19
Let d(g) be the first derivative of 5*g**4/4 - g**3 + g**2 + 3. Let v be d(2). What is the highest common factor of v and 80?
16
Let z = 10 - 6. Let h be 9/z + (-3)/12. Suppose 0 = -n + h*n - 64. Calculate the highest common divisor of n and 8.
8
Let f = 173 + -128. Calculate the greatest common divisor of f and 15.
15
Let j = 7 + -5. Let k = 42 + 24. Suppose 5*d - 2*u - k = 2*u, 3*d = 2*u + 40. What is the greatest common factor of j and d?
2
Let c be 15/6*(-2 - -4). Suppose 17 - 7 = c*q. Suppose -q = -w - 2*b, b - 6*b = -2*w + 22. Calculate the greatest common divisor of 48 and w.
6
Suppose -32 = -2*v - 4*i, 9*v - 4*v = -2*i + 112. Calculate the highest common divisor of 48 and v.
24
Let r be (48/(-15))/(6/(-45)). Suppose -2*a + 4*m = -a - 11, 6 = -3*m. What is the highest common divisor of a and r?
3
Let a(l) = 8*l - 2. Let k be a(4). Suppose -1 + 3 = n. Suppose n*r - 24 = -3*j, 3*r + j - 2*j = 14. What is the highest common factor of k and r?
6
Let w = -15 + -4. Let h = 5 - w. Calculate the greatest common divisor of 6 and h.
6
Let h(o) = o**2 + o. Let q be h(-2). Let j(u) = 2*u. Let z be j(q). Suppose -t + 3 = -z. Calculate the greatest common factor of 14 and t.
7
Let n(p) = 2*p**2 - 3*p + 4. Let b be n(3). Suppose -3*s - 2*s - 5*j = -90, 4*j = s - b. What is the highest common divisor of 34 and s?
17
Let j = -3 - -78. What is the greatest common factor of j and 50?
25
Suppose -2*b = b - 30. Suppose t - z - 80 = 0, -t + 3*z - 400 = -6*t. Calculate the highest common factor of b and t.
10
Let d be 25 + 0*(-2)/(-4). Suppose n + 0*l - 34 = 4*l, -5*l - d = 0. Let k(m) = 22*m + 2. Let z be k(5). What is the highest common divisor of n and z?
14
Suppose 3*q + 3*a + 61 = -2*q, 0 = 3*q + 2*a + 36. Let f be ((-40)/q + -2)*14. Let c = 149 - 125. Calculate the highest common divisor of f and c.
12
Let m be (3/(-2))/(18/(-84)). Let k = m + -3. Suppose -k*v = -6 - 10. Calculate the highest common factor of v and 16.
4
Let p = 6 + -6. Suppose -3*w + o + 11 = p, w - o - 2 = o. Let d be (2 - 1*8)/(-1). Calculate the highest common divisor of d and w.
2
Let m be (-2)/(-4) + 29/2. Let f = m - -17. What is the highest common divisor of f and 8?
8
Suppose 0 = -p + 5*p - 20. What is the greatest common factor of p and 1?
1
Let b(p) = -24*p**2 - 5*p + 2. Let n be b(3). Let o = -137 - n. What is the greatest common factor of o and 23?
23
Suppose -251 = -f + 3*w, 3*w + w + 12 = 0. What is the highest common factor of f and 22?
22
Let s = 149 - 37. Calculate the greatest common factor of 16 and s.
16
Let j = 43 + -16. What is the greatest common factor of j and 27?
27
Suppose 2*g = -5*j - 6, 4*g - 3*j + 3 = 3*g. Let y be ((-20)/2)/(g/12). Let w(l) = -4*l. Let q be w(-1). Calculate the greatest common factor of y and q.
4
Suppose n - 10 = -0*n. Let q be 158/n + (-1)/(-5). Suppose 2*p = h + 10 - 50, 5*h = -5*p + 140. What is the greatest common divisor of h and q?
16
Let x(p) = 4*p**2 - 3*p. Let a be x(2). Suppose 0 = -r - s - 1, r + 4*s = -2 - 8. Suppose 110 = -r*k + 3*k. What is the greatest common divisor of a and k?
10
Let h be (-2)/12 - 9/((-594)/1991). Suppose 9 = -3*j, 2*t - 3*j = 6 + 15. Calculate the greatest common divisor of h and t.
6
Suppose -2 = z, w - 5*z + 18 = 3*w. Let c = w - 10. Suppose -2*n + 7*v - c*v = -19, -5*n + 3*v = -43. What is the greatest common divisor of n and 1?
1
Let n = 35 + -32. What is the highest common divisor of n and 1?
1
Let x be 266/10 - (-24)/60. Calculate the greatest common divisor of x and 9.
9
Suppose -19*b + 16*b = -66. Calculate the greatest common factor of b and 11.
11
Let o be ((-3)/2)/((-6)/192). Calculate the highest common factor of 72 and o.
24
Let f(x) = x**2 - 5*x - 32. Let r be f(-7). W