24
Let w = 1934 - 1824. Calculate the highest common factor of w and 50.
10
Suppose 2*j - 2 = 0, -w = -5*j - 3 - 1. Let q(l) = 2*l + 31. Let s be q(16). What is the highest common divisor of s and w?
9
Suppose -20 = -4*n, -881 = -4*x + 4*n - 313. What is the highest common divisor of 21 and x?
21
Suppose -4*p + 32 - 144 = 0. Let x = p - -40. Let d = -231 - -267. Calculate the highest common divisor of x and d.
12
Suppose 3*q + 4*b - 10 = 0, -4*q + 0*q - 4*b = -12. Let d(y) = -2*y - 2 - q*y + 3*y. Let t be d(-15). What is the greatest common factor of 117 and t?
13
Suppose 24*b = 34*b - 60. What is the highest common divisor of b and 16?
2
Let z = 10 - 6. Let x be 2 + 1*z - 2. Let c = -296 - -312. What is the highest common divisor of c and x?
4
Let a = -368 + 503. What is the highest common divisor of a and 75?
15
Let y(s) = -8*s - 2. Let j be y(-3). What is the greatest common factor of 55 and j?
11
Let l be (-2)/((-7)/(-9) + -1). Let r = 10 + -6. Suppose 27 = 7*n - r*n. What is the highest common factor of n and l?
9
Suppose -5*z - 5*m = -6*z + 24, 2*z - 93 = -5*m. What is the greatest common divisor of 13 and z?
13
Let c(s) be the third derivative of s**5/15 + s**4/12 + 24*s**2. Let v be c(2). What is the highest common factor of v and 5?
5
Suppose 18 - 4 = 2*a. Let q = 1716 + -1667. What is the greatest common divisor of a and q?
7
Let r(d) = -2 - 8*d + 9*d**2 + 11*d - 5*d. Let g be r(2). What is the greatest common factor of g and 20?
10
Let x(c) = -41*c - 8. Let t be x(-1). Calculate the highest common divisor of t and 9.
3
Suppose -3*p - 142 = -5*o, p = -2*o + 51 + 8. Calculate the greatest common factor of o and 1972.
29
Let w(c) = -7*c**2 + 2*c + 1. Let u be w(-1). Let q be (30 - 3) + -3 + 0. Let i = q + u. What is the greatest common divisor of 4 and i?
4
Let m = -5 - -7. Let a = 14 + -11. Calculate the highest common divisor of a and m.
1
Suppose 2*h - 3 = 15. Suppose -14*w + 20 = -h*w. Suppose 4*k = -0*x + w*x - 380, x - 91 = 2*k. What is the greatest common factor of x and 11?
11
Let h(p) = p**3 + 9*p**2 + 11*p - 3. Let l(m) = -m**2 - 7*m + 55. Let f be l(-12). Let z be h(f). Calculate the greatest common divisor of z and 12.
6
Let m be 20/2*4/5. Let p(s) = -s**3 - 30*s**2 + 29*s - 50. Let b be p(-31). What is the greatest common factor of m and b?
4
Let o(k) = 3*k**3 + 11*k**2 - 4*k + 10. Let i be o(5). Calculate the highest common divisor of 40 and i.
40
Let f be 6/(-7)*(4 + (-15 - -4)). What is the highest common divisor of f and 32?
2
Let p(a) = a**3 - 7*a**2 - 8*a. Let s be 11*(-2 + 6 - 2). Suppose -s = -3*f + 5. Let r be p(f). What is the greatest common factor of r and 10?
10
Suppose -i - 4 = -0*i. Let o = 6 - i. Calculate the highest common divisor of o and 5.
5
Suppose 0 = -22*x + 25*x - 120. Let h = 0 + x. Let v(g) = 9*g**2 - 2*g + 1. Let r be v(1). Calculate the highest common divisor of r and h.
8
Let d(g) = -g**3 + 12*g**2 - 19*g + 1. Let m be d(10). Let z(i) = i**3 - 10*i**2 - 5*i - 21. Let c be z(m). Calculate the greatest common divisor of 45 and c.
45
Let a be (-3*10/7)/((-8)/56). Suppose o - 93 = -0*o + 4*l, 537 = 5*o + 4*l. Calculate the highest common factor of a and o.
15
Let b be 4/(-30) + (-576)/(-270). Let h = -7 - -10. Calculate the greatest common divisor of b and h.
1
Suppose 0 = 5*b - 3*y - 16, 5*b + 0*y + y - 8 = 0. Let q be 1 + 5 + -1 + 17. What is the greatest common divisor of q and b?
2
Let o(v) = -4*v - 28. Let d be o(-11). What is the highest common factor of d and 1024?
16
Let b be 19/(-57) - 46752/(-18). What is the greatest common divisor of 53 and b?
53
Let g(y) = 63*y**2 + 3*y + 4. Let z be g(-1). Calculate the highest common factor of z and 80.
16
Suppose r - 4*d + 4 = 0, 0 = -3*r - d - 3 + 17. Suppose 72 = 13*l - 6. What is the greatest common factor of r and l?
2
Let s(f) = 2*f + 47. Let d be s(-17). Let q(v) = -12*v**3 - 2*v**2 + 2*v - 1. Let p be q(-3). Calculate the greatest common divisor of p and d.
13
Let c(d) = 18*d + 6. Let w be c(5). Suppose 3*i + 36 = 4*i. Suppose -x + 4*x - i = 0. Calculate the highest common factor of x and w.
12
Let i be 142/6*(-1 + 7). Suppose 0 = 3*r - 20 - i. Let z be (4/(-12))/((-3)/r). What is the greatest common divisor of z and 54?
6
Let k(x) = 29*x - 17. Suppose -5*t + 1 + 2 = -3*i, t + 1 = i. Let q be k(i). What is the highest common divisor of q and 11?
11
Let b(i) = i + 115. Let z be b(-25). Let t = 9 + 1. Calculate the highest common factor of t and z.
10
Let u = 53 + -64. Let b be (-772)/u + (-6)/33. What is the highest common divisor of 14 and b?
14
Let q(j) = -2*j**2 + 11*j + 333. Let k be q(15). Let m = 22 + -10. What is the highest common factor of k and m?
12
Let g be 3*(-1)/6*-4. Suppose -7 = -2*q + 5. Calculate the greatest common divisor of g and q.
2
Suppose 3*c - c - 130 = -5*o, -4*o - 4*c = -116. Suppose m - 7 = -9. Let j be (-6)/m - (-3 + 3). Calculate the greatest common factor of j and o.
3
Let p(l) = l**2 - 3*l + 1. Let c(a) = -2*a + 3. Let g be c(-3). Let z be p(g). What is the highest common divisor of 11 and z?
11
Let q(u) = u**3 + u**2 - 40*u + 38. Let d be q(-7). Calculate the greatest common factor of d and 768.
24
Suppose 28 = 5*p + 18. Let u(f) be the first derivative of f**3/3 - 5*f**2/2 - 6*f - 1. Let l be u(7). Calculate the greatest common factor of l and p.
2
Let i(f) = -5*f + 50. Let t be i(7). Suppose 2*b - 12 = -0. Calculate the greatest common divisor of t and b.
3
Let d(j) = 3*j + 3. Let l = 10 + -5. Let z be d(l). Suppose -3*t + 3 = 0, -8*t + 110 = 2*k - 6*t. Calculate the highest common factor of z and k.
18
Suppose -3*i - 2 = -8. Suppose 250 = -3*t - 2*a, -i*t - a - 166 = -0*t. Let l = -54 - t. Calculate the highest common factor of l and 42.
14
Suppose -2*i - 2*s = -12, 4*i + 2*s - 30 = 4*s. Let c(k) = -2*k**2 + 139*k + 361. Let l be c(72). What is the greatest common factor of l and i?
1
Suppose 8*v = 10*v - 14. Let l = 42 - 49. Let z be ((-10)/(-5) + -10)*l. What is the greatest common factor of v and z?
7
Let m be 76/(-6)*(-9)/6. Let s = m + -5. What is the highest common factor of s and 70?
14
Let m be (0 - 4) + (11 - 10) - 5. Let j be ((-306)/(-15))/(m/((-480)/9)). What is the greatest common factor of 34 and j?
34
Suppose -4*y + 680 = y. Let g = y - 21. Let m = g + -70. Calculate the highest common factor of 9 and m.
9
Let l be 47988/651 - (-2)/7. Calculate the highest common divisor of l and 999.
37
Let p = -6 - -10. Let l(z) = z**3 - z**2 + 4*z - 1. Let i be l(p). Let w be (-2)/8*-4*9. What is the highest common factor of w and i?
9
Suppose 11 = 5*h - 29. Let f be (h - 8)*(0 - 1). Suppose f = 6*g - 45 - 99. What is the greatest common divisor of 24 and g?
24
Let h(j) = 5*j + 2. Let r be h(2). Let s = 22 - r. Let p(q) = q**3 + 8*q**2 + 5*q. Let i be p(-5). What is the highest common factor of i and s?
10
Suppose 36*h - 40*h + 48 = 0. What is the greatest common factor of 15 and h?
3
Suppose y + 1 = 0, -2*y + 36 = b - 34. Let h = b + -70. What is the highest common divisor of h and 6?
2
Let o be (-186)/31*5/(-2). Calculate the greatest common factor of o and 375.
15
Suppose -6*i = -34 + 4. Suppose i*v - 77 = -2*v. Calculate the greatest common factor of v and 11.
11
Let w = 111 - 86. Calculate the greatest common factor of 5 and w.
5
Let q be ((-2)/(-3))/(63/3024). What is the highest common factor of 48 and q?
16
Suppose 4*x = -l - 3*l + 3064, 2*l - 1556 = 4*x. What is the greatest common divisor of l and 77?
77
Let s(p) = 19*p - 61. Let w be s(5). What is the highest common divisor of 374 and w?
34
Let t be (48/(-32))/(1 + (-30)/28). What is the highest common factor of 147 and t?
21
Let u(n) = 6 + 11*n - 4 + 0. Let g be u(2). What is the greatest common factor of g and 8?
8
Let m be -2 + (-4)/(4/(-27)). Let j = 145 - -542. Suppose -3*x = -3*f + j, -2*x - 683 = -3*f - 0*x. Calculate the highest common divisor of m and f.
25
Let o(t) be the first derivative of 22*t - t - 7 + 6*t**2 - 6*t. Let y be o(8). What is the greatest common divisor of 37 and y?
37
Let t(d) = 2*d - 29. Let k be t(16). Let p(j) = j**3 + 2*j**2 - 5*j - 1. Let l be p(k). Calculate the greatest common divisor of 232 and l.
29
Let b be (121 - 48) + (1 - 1 - 1). Let y = 33 + 3. What is the highest common divisor of b and y?
36
Let 