3*b. Suppose u - 4*y = -3*u, -u + 3*y = 8. What is the highest common factor of n and u?
4
Let j(g) = -g**2 + 7*g - 3. Let s be j(5). What is the greatest common divisor of s and 63?
7
Let v = 51 - 71. Let w = v - -31. Calculate the highest common divisor of 77 and w.
11
Let t = -297 + 487. Calculate the highest common factor of t and 38.
38
Let n(d) be the third derivative of d**5/60 - d**4/4 - 3*d**3/2 + 2*d**2. Let r be n(9). What is the greatest common divisor of 54 and r?
18
Let v(m) = -m**3 + m**2 + 25. Let i be v(0). What is the greatest common divisor of i and 100?
25
Let i = 52 - 26. Let j = -6 - -19. Calculate the highest common divisor of j and i.
13
Suppose r = 7 + 57. Let t(m) = -5*m - 29. Let b be t(-9). What is the greatest common divisor of r and b?
16
Let m(y) = 3*y - 5*y**2 + 5*y**3 - 4*y**3 + 0*y**2 - 2. Let j be m(6). Let q = j - 32. What is the highest common factor of 4 and q?
4
Suppose 0 = 5*n - 5*p + 25, 3*n + p - 5 + 0 = 0. Suppose 4*f - 8 = -n. Suppose -4*q + f*q + 20 = 0. Calculate the highest common divisor of 10 and q.
10
Let n(k) = -56*k + 8. Let w be n(-4). What is the highest common divisor of w and 29?
29
Suppose 2*d - 6 = 0, 0*d + 69 = 4*b - d. Calculate the highest common divisor of 72 and b.
18
Suppose 5*k - 2 = 2*b, -2*b = k - 5*k - 2. Let p(n) = 24*n**2 + n + 1. Let j = 4 - 2. Let q be p(j). What is the highest common factor of q and b?
9
Let v(b) be the second derivative of b**3 - b**2 + 4*b. Let u be v(2). Calculate the greatest common factor of 10 and u.
10
Suppose -10 = 4*p - 146. Let w = p + -23. Suppose 2*i + 5*q = 129, 3*i = 2*q + q + 246. What is the highest common factor of w and i?
11
Let r = 83 + -58. Let m = r + -5. Calculate the greatest common factor of 30 and m.
10
Let t = -5 + 7. Let h be -6*t/3*-3. What is the greatest common factor of h and 12?
12
Let m(y) = y**3 + 5*y**2 - 2*y - 1. Let a be m(-5). What is the highest common factor of 36 and a?
9
Suppose 0*u = 3*u + 2*g - 4, -5*u - g = -9. Suppose u*h - k = 3*k + 48, -k + 2 = 0. What is the highest common factor of h and 28?
28
Let u be (6*4/6)/(-1). Let s be 228/54 - u/(-18). Suppose -s*i + 4 = -12. What is the highest common divisor of 6 and i?
2
Suppose -n - 256 = -5*n - h, -2*n + 114 = 4*h. Let t = n + -44. Calculate the greatest common factor of t and 3.
3
Suppose -3*z = -z - 32. Suppose -25 = -5*d, d + 244 + 123 = -3*t. Let m = -76 - t. Calculate the greatest common divisor of z and m.
16
Let j(c) = -c**2 + 1. Let k(f) = -f**2 + 5*f - 3. Let l = -9 - -10. Let w(i) = l*k(i) - 2*j(i). Let p be w(-7). Calculate the highest common factor of p and 3.
3
Let h(a) = 6*a - 30. Let s be h(7). Calculate the highest common factor of s and 12.
12
Suppose -5*i + 12 = -i. Let r be (1 + (-51)/(-9))*i. What is the greatest common factor of r and 5?
5
Suppose 4*a - 294 = 3*p, -a + 136 = a + 4*p. Calculate the highest common divisor of a and 9.
9
Suppose -z + 6*z = -3*s + 32, 2*s = z + 4. Calculate the highest common divisor of 16 and z.
4
Let s(m) = -m**2 - m + 5. Let g be s(-4). Let k = g + 5. Let j be ((-40)/6)/(k/6). What is the highest common factor of j and 4?
4
Let l = 7 + -1. Calculate the greatest common factor of 6 and l.
6
Suppose 3*m + m - 32 = -2*f, 3*f - m = 13. What is the highest common factor of 8 and f?
2
Suppose -253*n + 248*n = -35. Calculate the highest common factor of n and 1.
1
Let i be ((-35)/28)/(1/(-36)). Calculate the greatest common factor of 5 and i.
5
Let d be 51 + (6/(-18))/((-3)/9). What is the greatest common divisor of d and 65?
13
Suppose 2*x - 5*m - 17 = 0, 4*x + m - 52 = 15. Let h = 81 - 17. Calculate the greatest common divisor of h and x.
16
Let q(p) = 9*p - 4. Let r be q(6). Let i be -3 + 0 - -5 - -2. Let y(t) = 2*t**2 - 4*t + 4. Let h be y(i). What is the highest common divisor of r and h?
10
Suppose 72 = 11*i - 5*i. Suppose -2*b = -i - 4. Calculate the highest common divisor of b and 88.
8
Suppose -5*v + 17 + 3 = 0. Suppose -3*o = -v*o + 48. What is the highest common factor of 12 and o?
12
Let k = 13 - 6. Calculate the greatest common factor of k and 28.
7
Let x(z) = -z - 3. Let c be x(-3). Suppose 4*a + a - 15 = c. Suppose 4*u - 12 = -0*u. What is the greatest common divisor of a and u?
3
Let t(a) = 3*a**2 - 2*a + 1. Let f be t(-5). Let r = f - 56. What is the highest common factor of 10 and r?
10
Let a be 15*(2/(-3))/(-2). Suppose -a*h + 8 + 2 = 0. Suppose -3*v + h = -2*v. What is the greatest common factor of v and 10?
2
Suppose 4*p + 0*a + 2*a - 62 = 0, 0 = 5*p - a - 74. What is the greatest common factor of 5 and p?
5
Let t(x) = x**2 - 4*x + 7. Let p be t(5). Suppose 100 = -3*l + 2*z + 393, 4*l - 400 = 5*z. Let h = 143 - l. What is the greatest common factor of p and h?
12
Suppose -8 = x - 5*w, 4*x - 16 + 3 = 5*w. Let y(l) = -l + 22. Let n be y(8). Calculate the greatest common factor of x and n.
7
Suppose 0*u + 180 = 2*u. Let h(b) = -b + 11*b - b**2 - 5 - 2*b. Let o be h(5). What is the highest common factor of u and o?
10
Let b(n) = n**2 + 66. Let l be b(0). Calculate the highest common divisor of 22 and l.
22
Let b(i) = -2*i**2 + 33*i - 4. Let r be b(16). Let o = -2 - -6. What is the greatest common factor of o and r?
4
Let o = 33 - -105. Let z = o + -6. What is the highest common divisor of 12 and z?
12
Let x(i) = i**3 + 2*i - 17*i**2 + 8*i**2 + 8*i**2. Let y be x(2). Calculate the greatest common factor of 20 and y.
4
Suppose -4*w + 24 + 356 = -5*y, 2*w = 4*y + 196. Let t = -133 + w. Let x = t + 63. What is the highest common factor of 8 and x?
4
Suppose 0*y + 3*y + 21 = 0. Suppose -3*j - n + 46 = 0, -3*n - 21 = -5*j + 37. Let m = y + j. What is the highest common divisor of 1 and m?
1
Let q(t) = 3*t**2 - 5*t. Let c be q(6). Suppose -44 = -3*r - 5*h + 79, -2*h + c = 2*r. What is the highest common factor of 12 and r?
12
Let i(s) = -s**3 - 3*s**2 + s - 1. Let z be i(-4). Let m be (2 + -2 - -1) + 10. Calculate the greatest common factor of z and m.
11
Let a = 212 - 122. Calculate the highest common divisor of a and 10.
10
Let y = -1 + 1. Let r(w) = 31*w - 1. Let s be r(1). Suppose -3*p + y*p = -s. What is the greatest common factor of 50 and p?
10
Let n(w) = 4*w**2 - 4*w. Suppose 3*i + 2 = 17. Let p be n(i). Let u(r) = 9*r**2 + r + 2. Let k be u(-1). Calculate the greatest common factor of p and k.
10
Suppose 5*k = 41 + 14. Suppose -68 = 3*j - 485. Let v = 238 - j. Calculate the greatest common divisor of v and k.
11
Let r(y) = -y**2 + 8*y - 7. Let d be r(7). Suppose 3*w - 9 - 3 = d. What is the highest common divisor of w and 32?
4
Suppose 0 = 5*u - 5. Let g be (1/(-1) - -1)/u. Suppose -5*o + 36 + 29 = g. What is the greatest common factor of 13 and o?
13
Suppose -2*a - 4*g = 0, -a - 2*a - g + 5 = 0. Suppose -7*r + 10 = -a*r. Calculate the highest common factor of r and 4.
2
Let d be (-1)/2*14/(-1). Suppose 0 = m + d - 27. Calculate the highest common divisor of 4 and m.
4
Let w be 1 - (0 + 2) - 0. Let o(i) = 0*i**2 - 1 - 5*i + 0*i**2 + 4*i + 2*i**2. Let h be o(w). Calculate the greatest common divisor of h and 4.
2
Suppose 2*u - 3 - 1 = -3*i, -24 = -4*u + 2*i. Suppose -s - u*f + 50 = 0, -s + 3*f + 18 = -16. Calculate the highest common divisor of s and 16.
8
Let g(n) = n**2 - 315. Let y be g(0). Let l be (-6)/10 - y/25. Let p(o) = 22*o - 2. Let t be p(5). Calculate the greatest common factor of l and t.
12
Suppose 2 = -4*d - 2*g + 4, d + 2*g = -4. Let u(w) = 6*w**3 + w + 1. Let a be u(-1). Let p be 3*(-2)/a*14. What is the highest common factor of d and p?
2
Suppose 0 = -3*b - f + 40, 2*b - 36 = 2*f + 2*f. What is the highest common factor of 140 and b?
14
Let m be ((-248)/12)/(2/(-3)). Let v = m - 19. Calculate the greatest common divisor of 12 and v.
12
Suppose -6*y = -285 - 171. Let h = -10 - -29. What is the greatest common factor of h and y?
19
Let z(l) = l + 26. Let i be z(-6). Calculate the greatest common divisor of i and 10.
10
Let t = -19 - -118. What is the greatest common factor of t and 9?
9
Let j = -179 + 270. What is the highest common factor of j and 13?
13
Let o be (4/(-6))/(3/9). Let x = o + 170. Suppose i + x = 5*i. What is the greatest common divisor of i and 28?
14
Let o be (2 + 1 - -79) + -2. Let q(v) = -v**2 - 10*v - 3. Let n be q(-10). Let a be (-1)/((6/32)/n). Calculat