 4*n + 16 = 5*v - v. Suppose -4*x - u + 12 = -5*u, v*u - 10 = 0. Calculate the greatest common factor of 35 and x.
5
Let n(z) = -z - 3 + 6 + 0*z + 8*z**2. Let a be n(-3). Suppose -5*j + a + 57 = 0. What is the highest common factor of j and 3?
3
Let c be 210/((-17)/10 + 2). Suppose 4*v + 2*l - c = 0, 5*v - 4*l = -2*l + 884. Suppose 33 = 2*r + 1. Calculate the greatest common divisor of v and r.
16
Let h(a) = a**2 - 5*a + 1. Suppose -q + 0*q = 2. Let k(v) = v**2 + 1. Let w be k(q). Let j be h(w). What is the highest common divisor of 2 and j?
1
Suppose 35 = 5*z - 2*r, 4*z + 5*r = 3*r + 46. Let f = -21 - -15. Let p be f*((-54)/4)/1. What is the greatest common factor of z and p?
9
Let c = 9 - 14. Let u be (24/(-20))/1*c. What is the greatest common factor of u and 9?
3
Let u be (-42)/(-3 + (-285)/(-100)). What is the highest common factor of u and 35?
35
Suppose -4*h = 5 - 1. Let z be (h - (2 - 4))*35. Let t be 696/14 + 10/z. What is the highest common divisor of 20 and t?
10
Let z = 12 + -4. Let o = -6 + z. What is the greatest common divisor of o and 2?
2
Let w be 7/1 + 0 + 0. Suppose -468 - 232 = -2*a. Suppose 0*f + a = 5*f. Calculate the greatest common factor of w and f.
7
Suppose o - 11 = 11. Calculate the greatest common factor of 33 and o.
11
Let v(l) = l - 3. Let s be v(8). What is the highest common factor of 55 and s?
5
Let w(a) = -a + 13. Let k be w(6). Suppose 4*j - k = 5. What is the highest common divisor of j and 33?
3
Let h be (-12)/(-54) - (-318)/27. Calculate the highest common divisor of h and 84.
12
Let l = -1 + -4. Let g be (-2)/l - (-96)/10. Let z = -124 + 204. What is the highest common divisor of g and z?
10
Suppose 2*y = -2 - 0. Let c = y - -3. Suppose -j + 1 = -m, -22 = -c*m - 3*j - j. Calculate the greatest common factor of m and 12.
3
Let v(l) = -l**2 - 5*l + 3. Let r(g) = -g - 1. Let i be r(2). Let d be v(i). What is the highest common factor of d and 63?
9
Let p(b) = b**3 - 2*b**2 - b + 5. Let r be p(6). Suppose t - r = -q - 2*q, -4*t = -2*q + 114. What is the highest common divisor of q and 7?
7
Suppose -4 = 3*i + 2*s - 20, 8 = 4*s. Let k = 6 + -4. Suppose -i*c = -k*z + 36, 4*c - 22 = 3*z - 66. Calculate the highest common factor of 32 and z.
8
Let s(x) = 32*x**2. Let j be s(1). Calculate the greatest common divisor of j and 64.
32
Let o(b) = -b**3 + 3*b**2 + 5*b. Let q be o(4). Suppose -2*t + 74 = 5*v, 2*v - 36 = 3*t + 5. What is the greatest common divisor of v and q?
4
Suppose -4*n = -18 - 2. Suppose -n + 8 = 3*y. Calculate the greatest common divisor of 4 and y.
1
Let r(l) be the first derivative of l**3/3 + 2*l**2 - 8*l + 3. Let u be r(6). Calculate the greatest common divisor of u and 13.
13
Let z(r) = 8*r**2 + 2*r - 3. Suppose 5*h - g + 40 = 4*g, -3*h + 5*g - 30 = 0. Let t be z(h). Calculate the highest common divisor of t and 17.
17
Let g be (1 - -3) + 84*2. What is the highest common divisor of g and 43?
43
Suppose -8*n - 15 = -3*n. Let z be (2/n)/((-1)/18). What is the highest common factor of z and 8?
4
Let r = 19 - -3. Let s = 83 - 28. Calculate the greatest common divisor of s and r.
11
Let k(m) = -3 - 4*m**2 - 2*m**2 - 2*m**3 - 8*m + m**3. Let w be k(-5). Let h be (-1)/((-789)/(-396) - 2). Calculate the highest common factor of w and h.
12
Let w be (-196)/(-32) - (-2)/(-16). Calculate the greatest common divisor of w and 42.
6
Let l(w) = w - 3. Let h be l(5). Let k = -41 - -92. Suppose z + h*r = k, z + 57 = 2*z - r. What is the highest common factor of z and 22?
11
Let n(h) = -4*h - 8. Let m be n(-3). Calculate the greatest common factor of m and 2.
2
Suppose 4*n - 498 = -m, 3*m - 5*n - 489 = 2*m. Suppose 0 = -4*g + 118 + m. Calculate the highest common divisor of g and 17.
17
Let z(y) = 3*y**2 - 20*y - 21. Let x be z(9). What is the greatest common divisor of 7 and x?
7
Let s(f) = 1 + 4*f - 6 + 1. Let y be s(3). What is the highest common divisor of y and 4?
4
Suppose r - 5*m = 24, 2*m = 2*r + r - 111. Calculate the greatest common factor of 13 and r.
13
Suppose 7*a - 3*a - 28 = 0. Suppose 0 = -n - a + 118. Let s = 156 - n. Calculate the highest common divisor of s and 18.
9
Suppose 0 = -2*v - v + 9. Let j(o) = -o**3 + 3*o**2 - o - 3. Let s be j(v). Let q be (6/(-5))/(s/80). Calculate the greatest common factor of q and 8.
8
Suppose a - 4 = -0*a. Suppose -a*c - 5 = 5*h, -2*h - 9 = -0*h + 3*c. Let f(o) = o**2 - 2*o + 3. Let x be f(2). What is the greatest common factor of h and x?
3
Let w(t) = t**3 - 9*t**2 + 7*t + 11. Suppose 32 = 2*y + 2*y. Let b be w(y). Calculate the highest common factor of b and 1.
1
Let g be (-8)/10*25/(-10). Suppose g*v - 140 = -4*a - 3*v, 2*a - 52 = 2*v. What is the greatest common divisor of 120 and a?
30
Suppose -r = u - 3, 3*u = -4*r + 9 - 1. Suppose 10 = u*w - 2. What is the highest common divisor of w and 15?
3
Let f(b) = b + 10. Let y be f(-7). Let t(c) = -c + 3. Let n be t(y). Suppose n*d - 3*d = -45. What is the highest common divisor of d and 105?
15
Suppose 4*h - 512 = -3*u, 6*h = 2*h + 4*u + 540. Let r = 0 + -1. Let k = h - r. What is the highest common divisor of 12 and k?
12
Let l = -51 - -65. Calculate the highest common divisor of 21 and l.
7
Let w(b) = 3*b**2 - b - 7. Let q be w(5). Let n = -43 + q. What is the highest common divisor of n and 4?
4
Let z be (-2)/3 - (-68)/3. Suppose -3*v = -5*v + 66. Suppose 0*c + c = v. Calculate the greatest common factor of z and c.
11
Suppose 5*d - 21 = 44. Calculate the greatest common divisor of 26 and d.
13
Suppose -43 = -4*x - 11. What is the highest common factor of x and 4?
4
Let a = 108 + -80. Let n be 24/(1 + 2) - 1. What is the highest common divisor of a and n?
7
Let a(t) = -10*t - 2. Let i be a(-5). Let h(l) = l**3 + 18*l**2 - 22*l - 51. Let w be h(-19). What is the highest common divisor of i and w?
6
Suppose 0 = -3*m - 5*g + 12, -5*m - 5*g + 20 = -4*g. Suppose -3*p + 4*p + m = 0. Let k = p - -11. What is the highest common factor of 63 and k?
7
Let f = 26 - 22. What is the greatest common divisor of 36 and f?
4
Suppose 7*w - 188 + 83 = 0. Calculate the highest common divisor of 10 and w.
5
Let d(i) = -i + 9. Let j be d(0). Suppose -3 = -m + 14. Let r = m - j. What is the highest common factor of 8 and r?
8
Let c be 36/10*40/12. Let f = 48 + c. What is the highest common divisor of 24 and f?
12
Let h(k) = -k**3 - 5*k**2 - 3*k + 1. Let d be (-1)/(-2 + (-2)/(-2)). Let x be -5*(d + (-1)/(-5)). Let j be h(x). What is the greatest common factor of 5 and j?
5
Let i be 54/(-8)*792/(-27). Suppose -3*m + 20 = 5. Suppose -5*h + 30 = m*q - 60, 3*h = -5*q + 90. Calculate the highest common divisor of q and i.
18
Suppose 5*l - 16 + 6 = 0. Calculate the greatest common factor of l and 14.
2
Let g(p) = p**3 + 9*p**2 - 13*p - 15. Let f be g(-10). What is the highest common divisor of f and 6?
3
Let b(o) = 9*o**3 - o**2 - 2*o + 2. Let w be 2/(-4) - 28/(-8). Let s be b(w). Calculate the greatest common divisor of s and 23.
23
Suppose 2*r = 4*d - 96, 51 + 69 = 5*d + 2*r. What is the greatest common factor of 12 and d?
12
Let d be 1*2*(-6)/(-4). Let g be (-2 + 5)*(4 - 3). Suppose g*m = 3*t - 170 + 2, -3*t + 168 = d*m. Calculate the highest common divisor of 14 and t.
14
Let f be (-76)/10 + 6/(-15). Let q(l) = -l**2 - 12*l - 10. Let u be q(f). Suppose 0*t = 4*t - 8. Calculate the highest common divisor of u and t.
2
Let j be (60/21)/(0 - 2/(-7)). Calculate the highest common factor of 15 and j.
5
Let g = 14 + -18. Let q = 6 + g. Calculate the highest common divisor of 22 and q.
2
Suppose 334 + 206 = -2*l. Let i be l/15*1/(-2). Calculate the greatest common divisor of i and 18.
9
Suppose 0 = -4*b - 4*c + 64, -67 = -4*b - c - 4*c. Suppose -2*a + 3*a - 52 = 0. What is the highest common factor of b and a?
13
Suppose 0 = 5*b + 1 - 31. What is the highest common factor of b and 30?
6
Let r(q) = q + 18. Let n be r(17). What is the highest common factor of 7 and n?
7
Suppose -3*p - 15*p + 36 = 0. Calculate the greatest common factor of 16 and p.
2
Suppose 5*m = 57 + 183. Suppose 5*a = -3 + m. What is the greatest common factor of a and 3?
3
Let g = -71 - -19. Let f(r) = -r**3 + 5*r**2 - 7*r - 9. Let a be f(7). Let p = g - a. What is the greatest common factor of p and 13?
13
Suppose -2 + 22 = 5*g. Suppose 3*y - 10 - 8 = 0. Let j be 5