Suppose 2 + 70 = 2*h + 4*r, -5*h - 5*r = -190. Calculate the greatest common divisor of p and h.
10
Suppose -25 = 5*x - 2*q, 3*x + 40 = -2*x - q. Let t = x - -17. Calculate the highest common divisor of t and 50.
10
Let p(m) = m - 11. Let x be p(14). Calculate the highest common factor of 24 and x.
3
Let n = 63 - 31. Suppose 3*g = g + n. Suppose 3*t - 28 = -2*l, -2*t = 3*l + g - 58. What is the greatest common factor of l and 7?
7
Suppose 3*g - 45 = 2*g. Suppose 0 = -5*h + 15, 4*x = -0*h + 5*h + g. What is the highest common factor of 75 and x?
15
Suppose 0 = -4*v - 41 + 113. Let l = -37 + 64. Suppose -l = -3*h + v. What is the greatest common divisor of h and 3?
3
Let m = 4 - 1. Let n be (-4)/(2/(m - 1)). Let o(x) = -3*x**3 - x**2 + 3*x + 1. Let u be o(n). What is the highest common factor of u and 15?
15
Let z be 31/(-4) - (-1)/(-4). Let r = 11 + z. Suppose -r*q - 3*l = -3, 3*l + 1 = -5*q + 10. Calculate the highest common factor of 12 and q.
3
Let t(d) = 10*d**2 - 5*d. Let w(k) = -k. Let y(a) = t(a) - 6*w(a). Let h be y(-1). Let n = 11 - h. Calculate the greatest common factor of n and 8.
2
Let j be (-12 + -1)/(1 - 0). Let n = j + 16. What is the highest common factor of 9 and n?
3
Suppose 4 = -l - 3*r, -1 = 4*l + r - 7. Suppose -5*y - 10 = 0, l*y + 19 = q - 2*y. Calculate the greatest common factor of q and 22.
11
Suppose 4*q = d + 53 + 42, 2*q + 3*d - 37 = 0. What is the greatest common factor of 69 and q?
23
Let y be (-6)/10 - (-706)/10. Suppose -2*n - y = -3*n. What is the greatest common factor of 28 and n?
14
Let j = -6 - 14. Suppose 2*i = 5*d + 69, i + 4*d = 3*i - 68. Let r be ((-15)/j)/(2/i). What is the highest common factor of 8 and r?
4
Let f(m) = -m**2 - 11*m + 4. Let s be f(-6). Let k = -105 + 190. Calculate the greatest common divisor of k and s.
17
Let d(k) = k**3 - 11*k**2 - 10*k - 14. Let h be d(12). Calculate the greatest common factor of 30 and h.
10
Suppose 0 = -2*s - 8 - 20. Let j = -13 - s. Let w be -5*-6*(-3)/(-10). What is the greatest common divisor of w and j?
1
Let j(r) = -4*r + 1. Let x be j(-2). Let a = -8 + 15. Suppose -3*f = -2 - a. What is the greatest common divisor of x and f?
3
Suppose 19 = 3*z - 0*z + p, -10 = 2*p. Calculate the greatest common divisor of z and 16.
8
Let b(k) = -4*k + 5. Let l be b(6). Let g(m) = 10*m. Let q be g(-1). Let z = q - l. What is the highest common factor of z and 45?
9
Suppose -w = -4*w + 111. Suppose -5*m + 5*f = -0*m - 65, -3*m + f = -w. Calculate the highest common factor of m and 18.
6
Suppose 4*o + 2*l = 6, 0 = -o - 3*l + 2*l - 1. Let p = 78 - -16. Suppose -22 = o*a - p. Calculate the highest common factor of 12 and a.
6
Suppose 7*g - 228 = -5*g. Calculate the highest common factor of g and 76.
19
Let h(x) = 3*x + 18. Let r be h(6). Calculate the greatest common factor of 180 and r.
36
Let v be ((-6)/(-9))/((-1)/(-3)). Suppose -v*d + 91 + 139 = 0. What is the highest common divisor of d and 23?
23
Suppose -2 + 7 = -g, -5*c + 5*g + 55 = 0. What is the greatest common factor of c and 6?
6
Suppose 4*r + 132 = 6*r. Suppose 2*v - r = -5*q + 94, 16 = 4*q. What is the greatest common factor of 14 and v?
14
Suppose -v = v - 130. Calculate the greatest common factor of 26 and v.
13
Let l be (-192)/(-20) - 6/(-15). Calculate the highest common factor of 25 and l.
5
Let r(y) = -y**3 + 3*y**2 + 4. Let c be r(4). Let d be c/8*16/(-6). Suppose 0 = -4*f + d + 12. Calculate the highest common factor of f and 4.
4
Let f be 0 + 28 + (-16)/(-4). Let k = 6 + 2. Calculate the greatest common factor of k and f.
8
Let y be (0 - -2) + 1*2. Suppose y*w = 4*u - 56, -3*u = -3*w + w - 38. What is the highest common divisor of 70 and u?
10
Let z(t) be the first derivative of t**4/4 - 7*t**3/3 + 9*t**2/2 - 8*t - 4. Let y be z(6). Calculate the highest common factor of y and 70.
10
Suppose 0*c = -2*c + 974. Let z = c + -344. What is the greatest common factor of 13 and z?
13
Suppose 2*b = -6, 3*q + b = -0*b. Suppose -h - q = 0, 4*g = 3*g + 3*h + 131. Calculate the highest common divisor of 16 and g.
16
Let y(l) = 2*l - 3. Let h be y(6). What is the highest common divisor of h and 81?
9
Suppose 0 = -2*o - 0*o + 8. Calculate the highest common divisor of 44 and o.
4
Let u be ((-216)/14)/(16/(-112)). Let f be 74/6 + 1/(-3). Calculate the greatest common divisor of u and f.
12
Suppose 2*s + 1 - 35 = 0. Calculate the greatest common factor of s and 187.
17
Let a(w) = w - 10. Let j be a(10). Suppose j = 5*b - b - 80. Calculate the highest common divisor of 60 and b.
20
Suppose 4*h = 69 - 21. What is the greatest common factor of 12 and h?
12
Let b = 9 + -4. Let r be 1/b + 1604/(-20). Let w be ((-5)/(-2))/((-4)/r). What is the highest common factor of w and 10?
10
Let k(r) = -r**3 + 21*r**2 + 5. Let f be k(21). Calculate the greatest common divisor of 20 and f.
5
Let d be ((-10)/(-8))/(2/48). What is the highest common divisor of 15 and d?
15
Let q = -382 - -549. Let l = q + -117. Calculate the greatest common divisor of l and 10.
10
Let d be (-2 - -27) + -4 + -3. Let c = -4 + 16. Calculate the greatest common factor of d and c.
6
Let t be (-232)/(-3) + 2/(-6). Let b(k) = -3*k**3 - 4*k**2 - 3*k. Let p be b(-2). Suppose 0*q - 2*q = -p. Calculate the greatest common divisor of q and t.
7
Suppose 64 - 4 = 5*h. What is the highest common factor of 4 and h?
4
Suppose 5*a - z = 853, 0 = 4*a + 6*z - z - 694. What is the greatest common divisor of 19 and a?
19
Let u(v) be the third derivative of -v**4/8 + 5*v**3/6 + v**2. Let j be u(-4). What is the greatest common divisor of 85 and j?
17
Let s(k) = 8*k**3 - 2*k**2 + k + 2. Let w be s(2). Suppose h = 5*h - w. What is the greatest common divisor of 6 and h?
3
Let n be -3*12*15/(-6). Calculate the highest common factor of 10 and n.
10
Let s be 36/10*50/4. What is the highest common factor of s and 18?
9
Suppose f - 3 = -2*u + 4, u = 1. Let g(q) = 2*q - 7. Let v be g(f). Let d be 20/(-50) - (-186)/15. Calculate the greatest common factor of d and v.
3
Suppose 3*d - 31 = 2*x - 7*x, x - 3*d + 1 = 0. What is the highest common divisor of x and 5?
5
Suppose -k + 7 = 5*a + 23, -90 = 3*k + a. Let f = -10 - k. Suppose -5*c = -3*t - 38 - f, -c + 3*t + 7 = 0. Calculate the greatest common divisor of 26 and c.
13
Let d = 21 - 10. Calculate the greatest common divisor of d and 11.
11
Let k be (-2)/(-7) - 24/(-14). Calculate the highest common divisor of k and 2.
2
Let g(l) be the third derivative of 61*l**5/60 - l**4/24 - l**2. Let x be g(1). What is the greatest common factor of 6 and x?
6
Suppose 5*l - v - 9 = 7, 4 = l - v. Let z be (-3)/(-1 + 0) + -2. Let n = l - z. Calculate the highest common divisor of 4 and n.
2
Suppose 2*m + 4 - 12 = 0. Suppose -1 = -a + m*t + 9, -35 = -5*a + 5*t. Calculate the greatest common factor of 42 and a.
6
Suppose 3*a + 6 - 57 = 0. Let l be 85*(-1 - 28/(-10)). What is the highest common factor of a and l?
17
Let c(a) = a**3 - a**2 - a + 7. Let q be c(0). Let l = 9 - q. Suppose 0 = -5*u + 2*u - l*d + 37, 3*d - 24 = -u. What is the highest common divisor of 9 and u?
9
Let u(g) = -2*g**3 + 2*g**2 - 1. Let c be u(-1). Calculate the greatest common divisor of c and 12.
3
Let h be ((-24)/30)/((-2)/25). Calculate the greatest common factor of 30 and h.
10
Let t = -16 - -10. Let f be (-2*1)/(t/51). What is the highest common divisor of f and 34?
17
Let t be 70/9 - 4/(-18). What is the greatest common factor of t and 56?
8
Let r(y) = -15*y + 3*y**2 + 5 + 20*y - y**2. Let h be r(-4). What is the highest common divisor of h and 34?
17
Suppose 2 = -4*m + 18. Let r be m/6 + (-416)/(-6). Calculate the highest common divisor of r and 10.
10
Suppose 3*r = -2*g + g + 16, 3*r = 15. Let i be 32/(2 - -2) + g. What is the greatest common divisor of i and 1?
1
Let u = -27 - -15. Let z be (u/15)/(2/(-35)). Suppose 323 = 3*i - 55. Calculate the greatest common divisor of i and z.
14
Let q(u) = -15*u - 9. Let r be q(-6). What is the greatest common factor of r and 9?
9
Suppose -3*a + 33 = 6. Suppose 0 = -5*d + a + 11. Calculate the highest common factor of d and 8.
4
Suppose -4*d + 87 = -33. Let n = 0 + 0. Let h(u) = -u + 6. Let i be h(n). Calculate the highest common factor of i and d.
6
Let f(j) = 25*j - 3. Let a = 0 + 3. Let t be f(a). Calculate the highest common