t n be h(m). Let i = 12 - 5. Calculate the highest common factor of n and i.
7
Suppose -5*b + 47 = -23. Suppose -2*s + 88 = 2*w, 4*w = 5*s - 4*s + 161. Let k = w - 20. Calculate the greatest common factor of b and k.
7
Let t(y) = y**2 - 4*y - 3. Let g be t(5). Suppose -8 = -u + g. Calculate the greatest common factor of 10 and u.
10
Let u = -10 - -25. Let x = -54 + 114. Calculate the highest common factor of u and x.
15
Suppose 0*v = -3*w - v - 5, 5*v = 20. Let b be ((-4)/(-6))/(w/(-18)). Let h be (3 - 5)*(-18)/b. Calculate the greatest common factor of h and 81.
9
Suppose 3*s - 9 = 2*s. Suppose 0 = -4*y - 0*y + 288. What is the highest common divisor of s and y?
9
Let p(r) = -r**3 - 5*r**2 - 2*r + 6. Let a be p(-6). What is the greatest common divisor of a and 6?
6
Suppose -22*u + 12*u = -360. What is the highest common factor of 24 and u?
12
Let l(v) = v**3 - 3*v**2 - 4. Let u be l(3). Let d be (-13)/52 + (-41)/u. Calculate the highest common factor of 90 and d.
10
Let t be ((-27)/(-2))/(-3)*-6. Let x = t - 18. Calculate the highest common factor of 72 and x.
9
Let b(y) = 6 - 3*y**2 - 5*y - 3 + 5*y**2 + 0*y. Let o be b(4). What is the greatest common divisor of o and 15?
15
Let c be -4 + 0 + 0 + 1. Let w = 27 + c. Calculate the greatest common divisor of w and 8.
8
Let n(u) = -5*u. Let w be n(-1). Suppose 2*k + 36 = 3*k + 4*y, -w*k - 4*y = -116. What is the highest common divisor of k and 8?
4
Let k = 25 + -15. Calculate the greatest common factor of k and 80.
10
Suppose -4*o + 168 + 96 = 0. What is the highest common factor of 6 and o?
6
Suppose 2*i + 1 - 7 = 0. Let a be (10 - (3 - i))*-1. Let x be (6/a)/(3/(-15)). Calculate the highest common divisor of x and 2.
1
Let s = 60 + -44. What is the highest common divisor of 40 and s?
8
Let v = 44 + -22. What is the highest common divisor of v and 11?
11
Let x(g) = -g**3 + g**2. Let h(u) = -2*u**3 - 5*u**2 - u. Let r(a) = h(a) + 3*x(a). Let c be r(-1). Calculate the greatest common factor of 20 and c.
4
Let z = 78 - 51. Suppose 4*g - 81 = g. What is the greatest common divisor of z and g?
27
Let i(d) = -d**3 + 7*d**2 - 6*d - 10. Let n be i(4). What is the greatest common factor of n and 28?
14
Let i be -1 + (2 - (1 - 18)). Suppose 4*n + n = 360. Calculate the greatest common divisor of i and n.
18
Let h = -17 + 62. What is the greatest common divisor of 30 and h?
15
Let d be (1 + (-10)/(-6))*(-54)/(-1). Calculate the highest common factor of d and 18.
18
Suppose 4*n - q - 35 = 0, 0 = -2*n + 5*q - 4*q + 19. Let h = n + -2. Suppose -76 = -u - h. Calculate the greatest common divisor of 14 and u.
14
Let x be 17/5 - (-6)/(-15). Suppose -6*a = -a - 3*s - 695, 0 = -x*a + 3*s + 423. What is the greatest common divisor of 17 and a?
17
Let i be (-2)/6*-3 - -14. Let z be 2/8 + i/4. Suppose -5*m - z*v = -2*v - 206, -v + 43 = m. What is the greatest common divisor of m and 5?
5
Let x(d) = d**3 - 8*d**2 + 7*d - 8. Let h be x(8). Suppose 3*q + h = 7*q. What is the highest common divisor of 6 and q?
6
Suppose -24 = -l - l. Suppose 15*d - l*d = 108. What is the greatest common factor of d and 4?
4
Suppose 2*a = -5*w - 5, 3*a + 2*a + w = -24. Let k be -1 + -2 - 5/a. Let v be k/4*(-29 + 1). Calculate the greatest common divisor of 126 and v.
14
Let h = -10 - -12. Calculate the highest common factor of h and 20.
2
Let l(c) = c**2 - 2*c + 3. Let s be l(-3). What is the highest common factor of 6 and s?
6
Let j(t) be the second derivative of -t**3/6 - 29*t**2/2 - 2*t. Let u be j(0). Let h be 10/(-45) + u/(-9). Calculate the highest common divisor of h and 24.
3
Suppose 3*g - 3*a - 303 = 0, -3*a = 3*g + 214 - 523. What is the highest common divisor of 68 and g?
34
Let d = -8 + 12. Suppose 0 = 5*r + 15, -d*r = -3*i - 9*r. Suppose -2*w - 351 = -i*w. Calculate the greatest common divisor of w and 13.
13
Let f(y) = y**3 - 8*y**2 + 9*y + 16. Let l be f(7). Calculate the greatest common factor of 10 and l.
10
Suppose -7*w + g + 36 = -2*w, -w + 2*g + 9 = 0. Let l = 63 + -7. Calculate the greatest common divisor of w and l.
7
Suppose 0 = -x + 3. Suppose 6*q - x*q + y - 792 = 0, 5*q - 1320 = -y. What is the greatest common factor of q and 24?
24
Suppose p + 133 = 4*r, 22 = -5*p - 3. Let i = r + -14. What is the highest common factor of 9 and i?
9
Let t be 15*((-12)/(-9) - 1). Suppose -t*s + 13 = -17. Suppose a + 4*n + 502 = s*a, -2*n - 398 = -4*a. Calculate the greatest common divisor of a and 14.
14
Let c(i) be the second derivative of i**5/20 - 3*i**4/4 + 5*i**3/6 - 5*i**2/2 + 2*i. Let z be c(9). Calculate the highest common divisor of 16 and z.
8
Let r = -5 + 7. Suppose -r*j = 1 - 3. Calculate the highest common factor of 7 and j.
1
Suppose k + 7 = 2*k. Let z = k - -13. What is the greatest common divisor of 80 and z?
20
Suppose 4*c - 2*s = 20, -4*c = 3*s - 6 - 4. Let w(i) = 4*i**2 - i + 2. Let x be w(2). Calculate the highest common divisor of c and x.
4
Let m be -1 - (-2)/((-4)/(-4)). What is the highest common factor of 17 and m?
1
Let c = -1 - -3. Suppose -c*o = 4*i - 10, -3*o - o = -4*i - 20. Suppose -2*h + 306 - 66 = i. What is the highest common divisor of h and 12?
12
Let g(s) = -s**2 - s + 6. Let m be g(0). Calculate the highest common divisor of m and 12.
6
Let k(p) = -4*p + 2. Let y be k(-4). Calculate the greatest common divisor of 72 and y.
18
Let m = -2 - -7. Suppose -m*w = -3*w - 18. Let z be (-538)/(-4) + w/6. Calculate the highest common factor of z and 17.
17
Suppose -5*i = 110 - 390. What is the greatest common factor of 7 and i?
7
Let x = -20 + 40. What is the greatest common factor of x and 5?
5
Let r = 96 - 62. Calculate the highest common divisor of r and 85.
17
Let h = 52 + -27. Calculate the greatest common factor of h and 15.
5
Suppose 290 = 4*z + z. Suppose 2*a - z = -16. What is the greatest common divisor of 3 and a?
3
Let l be 9/(-3) + (99 - 0). Let r = l + -56. Calculate the highest common divisor of r and 8.
8
Suppose 0 = -b - 5*n - 19 + 2, -2*b - 19 = 5*n. Let r be 2/b + 14/2. Calculate the greatest common divisor of 9 and r.
3
Let r(z) = -z**2 + 10*z + 6. Let g be r(9). What is the highest common divisor of 165 and g?
15
Suppose -k - 90 = -2*k. What is the greatest common factor of 18 and k?
18
Suppose -7*l - 4 = -3*l. Let x(i) = 4*i - 5. Let v(r) = -3*r + 6. Let b(u) = -4*v(u) - 5*x(u). Let j be b(l). Calculate the greatest common divisor of j and 63.
9
Let u(a) be the third derivative of a**6/120 - a**5/20 + a**3/3 + 3*a**2. Let r be u(6). Calculate the highest common factor of 10 and r.
10
Let o be (-45)/21*(-9 - -2). What is the greatest common divisor of 75 and o?
15
Let q(m) = -m**3 - 4*m**2 + 6. Let f be q(-4). What is the greatest common divisor of 30 and f?
6
Let m(z) = 6*z**2 - z - 1. Let f be -6*(15/6)/(-5). Let o be m(f). What is the highest common divisor of o and 10?
10
Suppose 2*j + j = 171. Suppose 5*d + 180 = 2*a + 3*a, 2 = d. Calculate the highest common divisor of j and a.
19
Let h(p) = p + 15. Let t be h(-5). Calculate the greatest common factor of 50 and t.
10
Let h be (0 - -4)*(-3 - -5). Let y = h - -7. Suppose 0*d = -2*d + 6. What is the greatest common factor of y and d?
3
Let f be (-33)/(-9) - 2/(-6). Suppose -9 = -f*c - 1. Let i = -5 - -9. What is the greatest common factor of i and c?
2
Suppose -3*m = -m - 30. Calculate the greatest common factor of m and 105.
15
Suppose -2*k = -5*r + 15, r + 25 = 4*k + 2*r. Let d = k - -2. What is the greatest common factor of d and 14?
7
Let c be (1 + 1)*54/36. Let t = -4 - -6. Suppose -t*s - 12 = -c*s. What is the highest common factor of 8 and s?
4
Let l = -13 - -37. Suppose -2*a + 2*g = a - l, 3*a - 21 = g. Suppose -o = -2*k + 11, -5*k - a*o = -o - 20. Calculate the highest common factor of 45 and k.
5
Let t(i) = i**2 - 13*i - 11. Let x be t(14). What is the greatest common divisor of x and 24?
3
Suppose 0 = -4*o + 1 - 13, o = -3*t + 27. Suppose z + 3*z - 8 = 0. Suppose -x + 60 = z*x. What is the highest common divisor of t and x?
10
Suppose -8 = -y - 2*a, -3*y + 5*a - 20 = -2*y. Suppose y = -v + 2*v. Suppose 14 + v = b. What is the highest common divisor of 7 and b?
7
Suppose 0 = -3*r + 228 + 45. Suppose -z - 3*z - 125 = 5*k, -2*z + 3*k = 57. Let h = z - -43. Calculate the highest common factor of r and h.
13
Let g be 