50 = -3*c + 51. What is the highest common divisor of 11 and c?
11
Let g = 6 + -4. Suppose g + 6 = 2*x. What is the highest common divisor of x and 36?
4
Suppose -3*u = c - 79, 0 = 4*u + 5*c - 2*c - 97. Calculate the highest common factor of u and 28.
28
Let f(x) = -x**3 - 5*x**2 + 2*x - 8. Let j be f(-6). Let r = 61 + -37. What is the greatest common factor of r and j?
8
Let h = 5 - 3. Suppose p - h*p = -7. What is the greatest common factor of p and 28?
7
Suppose -26*j + 36*j - 50 = 0. Suppose -3*o = -5*p - 60, 0*o + 5*p - 45 = -4*o. What is the highest common divisor of j and o?
5
Let f = 14 + 2. Suppose 32 = -0*w + 4*w. Calculate the highest common divisor of w and f.
8
Let m(v) = -v - 7*v + 3*v - 6. Suppose 0 = -2*j - 1 - 7. Let k be m(j). What is the highest common divisor of 14 and k?
14
Let s = -6 + 16. Suppose 4 = -q, 8*k + q = 5*k - s. Let d be ((-8)/(-6))/(k/(-36)). Calculate the highest common factor of 8 and d.
8
Suppose -2*s + 221 = 71. Suppose 6*t + 33 = n + 3*t, -t = -3*n + s. What is the greatest common divisor of 8 and n?
8
Suppose 0 = -27*f + 16*f + 88. Let z be 1*(1 + 0 + 0). What is the greatest common divisor of z and f?
1
Suppose 7*u = 2*u + 225. Calculate the highest common divisor of u and 225.
45
Let i(k) = k**2 - 7. Let q be i(7). Let o(h) = 7*h - 1. Let r be o(1). Calculate the greatest common divisor of r and q.
6
Suppose 0 = 4*t - 4*m - 32, -2*t = -t - 4*m - 17. Calculate the greatest common divisor of 35 and t.
5
Suppose 2*o = 4*o - 12. Suppose 5*n + 53 = o*v - 4*v, 2 = -2*n. Calculate the highest common divisor of v and 4.
4
Suppose 90 = -4*b - b. Let i = b + 33. Suppose -p + 6*p - 375 = 0. Calculate the highest common factor of i and p.
15
Let n = -130 - -187. Let m be 2*(n/6 - 3). Calculate the greatest common divisor of 104 and m.
13
Let i = -6 + 20. Let s(d) = 6*d**3 - 3*d**2 + 3*d. Let k be s(2). Calculate the greatest common divisor of i and k.
14
Suppose 2*h - 4*h + 47 = 3*l, 0 = -3*l + h + 53. Calculate the greatest common divisor of 85 and l.
17
Suppose p - 5*l + 20 = 0, 0*l - 20 = -4*l. What is the greatest common divisor of 5 and p?
5
Suppose 0 = 5*m - 4 - 6. What is the greatest common divisor of m and 6?
2
Let r = -11 - -22. What is the highest common divisor of r and 99?
11
Let w = 32 - 17. Calculate the greatest common divisor of w and 10.
5
Let h(c) = c. Let u be h(4). Suppose -u*l - 48 = -7*l. Calculate the greatest common factor of 40 and l.
8
Let i(t) = -t**3 - 9*t**2 - 9*t - 1. Let q be i(-8). Let r(f) = -f**3 + 9*f**2 + 12*f + 8. Let j be r(10). Calculate the highest common factor of j and q.
7
Suppose 0 = -p - p + 682. Calculate the highest common divisor of p and 11.
11
Suppose 6*r = -0 + 6. Let m(f) = -f + 6. Let g(h) = 2*h - 13. Let j(t) = -4*g(t) - 7*m(t). Let u be j(6). Calculate the greatest common factor of r and u.
1
Suppose 0 = -5*g + w + 12, -5 = -5*w + 10. Suppose 0*s - 12 = -g*s. Let h(n) = 2*n**2 - 6*n. Let y be h(s). Calculate the greatest common divisor of 20 and y.
4
Let o(f) = -f - 1. Let j be o(-7). What is the greatest common factor of j and 18?
6
Suppose r = -4 - 0. Let k(h) = -2*h + 8*h**2 - 2 + 2*h**2 - 3*h**2 + h**3. Let o be k(r). What is the greatest common divisor of o and 36?
18
Suppose 3*m + 0*m - 2*f - 130 = 0, m + 2*f - 46 = 0. Suppose 5*p - 335 = 5*r, 66 + 5 = p - 5*r. Calculate the highest common factor of p and m.
22
Let t(s) = -2*s**3 - s**2 - s - 2. Suppose 2*b - 8 + 12 = 0. Let w be t(b). What is the greatest common factor of 8 and w?
4
Let f be 1*(20 + 1/1). Let i(q) = q - 6. Let u be i(6). Let s be 1 + -3 + 5 + u. What is the greatest common divisor of s and f?
3
Let b(d) = d**2 + 2*d + 1. Suppose t - 22 = 4*t - g, 2*t + 4*g = -38. Let f = 5 + t. Let i be b(f). Calculate the greatest common factor of 36 and i.
9
Suppose -96 = 10*w - 14*w. Let q = 1 + 2. Calculate the greatest common divisor of w and q.
3
Let u be 1*((-145)/(-5) + 4). Suppose 3*t - 2*x + 51 = -4*x, t + 3*x + 24 = 0. Let r = t + 37. What is the highest common factor of u and r?
11
Suppose 4*y = 2*h - 4, 0 = -2*y + 3 + 1. Calculate the highest common divisor of h and 4.
2
Suppose 3*g - 25 = -2*g. Suppose q = -g*w + 60, 3*w + 9 - 45 = 2*q. Let l(p) = 59*p**2 + 1. Let s be l(-1). What is the greatest common factor of w and s?
12
Suppose -u + 6*u + 10 = 0. Let j be u/(-2) + (-336)/(-4). Let t be -1 - 3*-3*2. What is the highest common factor of j and t?
17
Let y(z) = z**3 - 5*z**2 - 5*z + 1. Let l be y(6). Suppose 0 = -2*o - 16 - 56. Let q = -15 - o. What is the highest common factor of l and q?
7
Suppose 0 = 4*v - 3*v - 16. Let u = 51 + -3. What is the greatest common divisor of u and v?
16
Suppose 6*y - 4*y + 8 = 0. Let s = 44 + y. Calculate the highest common factor of 16 and s.
8
Suppose 0 = -3*r - 0*r - 3. Let m be (r - -3)*(-110)/(-20). What is the highest common factor of 77 and m?
11
Let c(k) = 5*k + 2*k**2 - 8 - 3*k - k**2. Let j be c(6). Let p = -12 - -17. Calculate the greatest common factor of p and j.
5
Let m = -49 + 91. Calculate the highest common factor of m and 21.
21
Let g(c) = c**2 - 10*c + 7. Let j be g(7). Let z = 34 + j. Suppose -5*w + z = -0*w. What is the highest common divisor of 4 and w?
4
Let q(j) = -j**3 - 3*j**2 + j. Let c be (-13)/(-2) - 3/(-6). Suppose -w - c = -3. Let v be q(w). Calculate the highest common divisor of 18 and v.
6
Let p(v) = v**2 - 2*v - 3. Let c be p(5). Let y(t) = t**2. Let w be y(2). Suppose 18 + 126 = w*g. What is the highest common factor of g and c?
12
Suppose -5*t + 9*t = 32. What is the greatest common divisor of t and 56?
8
Let d be 94/6 + 2/(-3). Let x(g) = -27*g**2 + 1. Let n be x(1). Let t = -16 - n. Calculate the greatest common factor of t and d.
5
Let s(t) = 5*t**2 + 4*t - 7. Let f be s(-5). Suppose l + 3*b - 12 = 0, -5*l = -b + 38 - f. What is the greatest common divisor of 108 and l?
12
Suppose 3*a + 0*f = -3*f - 39, -4*f = -5*a - 29. Let q be (-6)/(-5)*30/a. Let z be q/(-6) + 26/6. Calculate the greatest common divisor of z and 55.
5
Suppose 3*a - 168 = -0*a. Let l = a - 12. Calculate the highest common factor of l and 11.
11
Let n be (-1174)/(-8) + (-5)/(-20). What is the greatest common factor of 21 and n?
21
Let y = -48 - -41. Let f = 1 + 1. Let i = f - y. What is the greatest common factor of 72 and i?
9
Let m = -99 + 183. What is the highest common divisor of 56 and m?
28
Let o = -112 - -118. What is the highest common divisor of 10 and o?
2
Let k be (-4)/(8/(-19))*16. Let c be k/4 - 1*2. Let l be 2 - (-2)/1*1. Calculate the highest common factor of l and c.
4
Suppose d = -4 + 130. Let q = 41 - 27. Calculate the highest common divisor of q and d.
14
Let i be (-8)/(-20) - 0 - (-2964)/15. Calculate the greatest common factor of i and 18.
18
Suppose -4*x - 2 = -6. Suppose 0 = -2*y + x + 3. What is the greatest common divisor of 1 and y?
1
Let u(h) = 9*h + 80. Let f be u(0). Suppose 5*s = 2*i + 76, -5*s - i = -48 - 34. Calculate the greatest common factor of f and s.
16
Suppose 16*u + 18 = 19*u. What is the highest common divisor of u and 60?
6
Let u = 6 - 6. Let z be (u - (-1)/3)*9. What is the highest common factor of z and 6?
3
Let m(o) = -8*o - 8. Let i be (2 - 12 - 0)*1. Let c be m(i). Let q(b) = 2*b**3 - 2*b**2 + b - 2. Let u be q(2). Calculate the highest common factor of c and u.
8
Let k(o) = -o**3 + 5*o**2 + 3*o - 7. Let q be k(5). Let v be (-55)/(-4) + 2/q. Let r = -21 - -77. What is the highest common divisor of r and v?
14
Suppose v - l - 32 = 0, -2*v - l + 39 = 2*l. Let t = 15 + -2. Suppose -3*j + t = 4*n - 25, -38 = -j + 5*n. What is the greatest common factor of j and v?
9
Let z = 0 + 4. Calculate the greatest common factor of z and 16.
4
Let q be 2/7 - 1046/(-28)*2. Calculate the highest common factor of q and 15.
15
Let y(p) = -2*p. Let q be y(-4). Let m be 25*((-32)/(-10))/2. What is the highest common divisor of q and m?
8
Let a(n) = -n + 6. Let v be a(5). Let f be 1*(4 + v - 2). Suppose -f*c - 5*y + 221 = 71, 3*y = 2*c - 119. What is the highest common factor of c and 5?
5
Let f(j) = -j**2 + 6*j + 8. Let l be f(7). Let i(z) = 20*z**2 + 1. Let t be i(l). Let y be (1*-9)/((-3)/14). What is the greatest common divisor of t and y?
21
Let n be (-1)/(-2)*0 + 4. Suppose -j + 12 = 5*v - 4, -n*v = -3*j + 48. Su