 1. Let s be b(2). Calculate the highest common divisor of 9 and s.
9
Suppose 3*z - 13 - 41 = 0. What is the greatest common divisor of z and 9?
9
Suppose 169 + 151 = r. Calculate the highest common divisor of 40 and r.
40
Suppose -2*p + 27 = p. Let r be (-3)/p - (-100)/3. Let l = r + -21. Calculate the highest common factor of 108 and l.
12
Suppose k = -4*k + 660. Suppose -33 = -3*a + 3. What is the greatest common factor of k and a?
12
Let r be 15/6 - 1/(-2). Suppose -4*t = -r*n + 40, -2*n + 16 + 22 = 3*t. What is the highest common factor of n and 16?
16
Suppose 6*y = y. Suppose 2*i = -5*a + 21 + 44, a + 1 = y. What is the highest common factor of i and 14?
7
Let h = -19 + 25. Let u(j) = 13*j - 8. Let s be u(h). Calculate the highest common divisor of 14 and s.
14
Let f be (30/8)/(-5)*-48. Suppose -f - 27 = -3*d. Let j = 33 - d. What is the highest common divisor of 30 and j?
6
Let v(q) = -2*q**3 - 3*q**2 - 3*q. Let m be v(-2). Calculate the highest common divisor of 90 and m.
10
Let r be (1/2)/((-2)/(-104)). Suppose -j + 47 = -0*z + 2*z, -j = z - 43. Calculate the highest common divisor of j and r.
13
Suppose -12*f + 13*f - 75 = 0. Calculate the highest common divisor of 30 and f.
15
Let v be (-513)/18*6/(-9). What is the highest common factor of 76 and v?
19
Suppose -y = 4*o - 7, -2*o - 4*y - 29 = -5*o. What is the highest common factor of o and 6?
3
Let a = -5 - -9. Let i(v) = v + 1. Let b be i(a). Calculate the greatest common divisor of b and 10.
5
Let x be 11 + (-2)/(2 + 0). Suppose 2*u = 5*g, 0*g = 3*g - u - 1. Let y be 70 + g/4*0. What is the highest common divisor of y and x?
10
Let y = 25 + -28. Suppose -5*o - 20 = 0, 4*x + 5 = -5*o - 11. Let b be 2*(0 - x)*y. Calculate the highest common factor of 2 and b.
2
Let s(t) = -6*t**2 - t + 11. Let z(v) = -7*v**2 - v + 10. Let u(p) = 6*s(p) - 5*z(p). Let o be u(0). Calculate the highest common divisor of 48 and o.
16
Let i(a) = 2*a**2 - 4*a - 6. Let q be i(-6). What is the greatest common factor of 10 and q?
10
Suppose 0 = -2*g - 5*n + 34, 1 + 43 = 3*g + 4*n. What is the greatest common divisor of 3 and g?
3
Suppose 2*z - 3 = -z. Let g be 1 - z - -2*6. Let y = g + -3. What is the greatest common divisor of 45 and y?
9
Let g = -7 - -15. Calculate the greatest common factor of 56 and g.
8
Suppose 11*a + 435 = 14*a. What is the highest common divisor of 29 and a?
29
Suppose 0*m + 6 = 3*m. Suppose -5*z = -20 - 0. Suppose -w = -z + m. Calculate the greatest common divisor of w and 6.
2
Suppose 4*z + 8*z = 168. Calculate the highest common factor of z and 70.
14
Suppose 4*j = 2*l + 62, 36 = j + 2*j + 2*l. Suppose 5*b - 12 = 8. Suppose -21 = r - b*r. Calculate the highest common factor of r and j.
7
Suppose 106 = 5*u + 4*k, 0 = -3*u + 2*k + 46. Let q be (-1 + 0)/(-3 + 2). Let g = q - -26. Calculate the greatest common factor of u and g.
9
Suppose -2*q + 5 = -q + 2*r, q - 3*r - 20 = 0. What is the greatest common divisor of 121 and q?
11
Suppose 6*x - 28 = 4*x. What is the highest common factor of x and 2?
2
Let n(l) = l**3 - 4*l**2 - 4*l + 4. Let t be n(5). Calculate the highest common factor of t and 9.
9
Let y = -74 + 134. Suppose 0 = 5*a - 45 - 15. Calculate the highest common factor of a and y.
12
Suppose 3*z - 38 - 154 = 0. Calculate the highest common factor of z and 8.
8
Let k = 3 - 0. Suppose d = k*p + 23, p + 0*p = d - 15. What is the greatest common divisor of 77 and d?
11
Let v = 4 - 2. Let l(m) = -10*m - v - 2*m**2 + m**2 - 3 + 0*m**2. Let r be l(-7). What is the highest common factor of 144 and r?
16
Let y be (-6)/12 - (-74)/4. What is the greatest common divisor of y and 144?
18
Suppose 4*l = -32 + 312. Suppose l = 2*s - 14. What is the greatest common divisor of 21 and s?
21
Suppose -1249 = -5*p - 249. Suppose -2*h = 14 + 58. Let m = -16 - h. Calculate the highest common divisor of m and p.
20
Let o = 27 - 16. What is the highest common divisor of o and 110?
11
Let g(n) = -5*n**3 - n**2 + 2*n + 3. Let c(m) = -m + 9. Let u be c(10). Let d = -3 - u. Let j be g(d). Calculate the greatest common factor of 5 and j.
5
Let n = -9 + 4. Let v = 11 + n. Let q be (-14)/(-1) - (-2 - -1). Calculate the greatest common factor of q and v.
3
Let i be (-26)/((4/9)/(12/(-18))). What is the highest common factor of i and 312?
39
Let h = -15 + 38. Suppose 16*v = 1157 - 53. What is the greatest common factor of v and h?
23
Let s(d) = -d**2 + 8*d - 3. Let w be s(6). Let f be 40/7 + 4/14. Calculate the greatest common factor of w and f.
3
Suppose 0 = b - 0*b - 13. Calculate the greatest common factor of 13 and b.
13
Suppose 0 = 3*p - 0 + 6. Let l be (4 - 10)*16/p. What is the highest common divisor of 12 and l?
12
Suppose -2*o - 19 = -m + o, -2 = 2*o. Suppose 3*k + 3*j - 15 - 9 = 0, 2*k - j = m. Suppose 0*w = -5*w + 360. Calculate the greatest common factor of k and w.
8
Let n(c) = c - 10. Let r be n(10). Let z be (-1 - 1) + (-2 - -6). Let t = r + z. What is the greatest common divisor of 1 and t?
1
Suppose -5*a + 1968 = -4*g, -479 = g - 0*g + 2*a. Let v be (-1)/3 + g/(-3). What is the highest common divisor of 18 and v?
18
Let u(k) = 2*k**2 + 3*k - 22. Let r be u(4). Let c = 30 + 80. What is the highest common factor of r and c?
22
Suppose -11*n + 10*n = -44. Let g be (-1 + -1)*22/(-4). Calculate the highest common divisor of g and n.
11
Suppose -3*c + 138 = -2*o - 121, 0 = c + 3*o - 79. Calculate the greatest common factor of c and 34.
17
Suppose o = -5*t + 77, -o + 20 = 2*t - 6*o. Let x = 21 - t. Let m be (-27)/x*40/(-3). Calculate the highest common factor of 15 and m.
15
Suppose -2 = -2*h + 2*y, 0 = 5*h - y + 2*y - 5. Suppose -h + 7 = 2*q. What is the greatest common divisor of 18 and q?
3
Let r = 200 + -109. Calculate the greatest common factor of r and 13.
13
Suppose -2*l - 13 = 5*b, 0 = -l - 5*b - 17 + 3. Calculate the greatest common factor of l and 11.
1
Let y = -1 - -45. Let a be 3 - 5 - 12/(-2). What is the highest common factor of y and a?
4
Let q(u) = -u**3 - 6*u**2 - 8*u - 3. Let a be q(-6). Let x = 8 + 10. What is the greatest common divisor of x and a?
9
Suppose 5 + 1 = -3*m. Let b(f) = 8*f**2 + 2*f. Let d be b(m). What is the highest common factor of d and 7?
7
Let l(k) = k**3 - 12*k**2 + 10*k + 9. Let w be l(11). Let n be (8/6)/(w/(-21)). What is the highest common divisor of 140 and n?
14
Let b(t) = t**3 - 5*t**2 - 4*t - 7. Let r be b(6). Suppose j = -5*u + r, 52 = 5*j - 3*u + u. What is the greatest common divisor of j and 40?
10
Let u(r) = -r**3 + 2*r. Let t be u(-2). Suppose 5*z = -20, -a = a + t*z + 10. Calculate the greatest common factor of 12 and a.
3
Let m(x) = 5*x - 2. Let j be m(2). Let d be (-48)/20*20/6. Let v = -7 - d. Calculate the greatest common divisor of v and j.
1
Let i(m) = -m**2 + 1. Let x be i(1). Suppose -a + 0*a + 10 = x. What is the highest common factor of a and 40?
10
Let t = -4 + 23. Calculate the highest common divisor of t and 95.
19
Let b be -1 + 0 - (-13 - 3). Let l = -12 + b. What is the highest common divisor of 12 and l?
3
Let z(i) = -i**3 - 8*i**2 + 10*i + 19. Let g be z(-9). What is the highest common factor of g and 40?
10
Let p(j) = j**2 + 3*j + 2. Let t be p(-3). Let d(g) = 5*g - 2. Let f be d(t). Calculate the highest common factor of 24 and f.
8
Let o = -9 + 15. Let u = o + -6. Suppose -3*a + 24 = -u*a. What is the highest common divisor of 12 and a?
4
Suppose -o = o + 4. Let x(u) = 2*u**2 + 2*u + 1. Let v be x(o). Calculate the highest common divisor of v and 25.
5
Suppose 6*q - 2*q = 0. Suppose -5*i + q*i = -255. Let x(t) = -t**3 - 10*t**2 - 14*t - 11. Let u be x(-9). Calculate the highest common factor of u and i.
17
Let y be -5 + (8 - 2 - 3). Let t(a) = 4*a**3 + 2*a**2 - 2*a. Let k be t(y). Let f = k - -34. What is the greatest common factor of 21 and f?
7
Let j = -6 + 15. Let k = j + 2. Calculate the highest common factor of 55 and k.
11
Suppose 11*d - 27 = 8*d. Suppose 0 = -3*o - 4*m + 3, -2*o - 2*m + 0*m = -2. Calculate the greatest common factor of d and o.
1
Let x(m) be the third derivative of m**4/3 - m**3/2 + 3*m**2. Let l be x(2). Calculate the greatest common divisor of l and 39.
13
Let g(t) = t**2 + 3*t**3 - 2 + 2*t - 4*t - 3*t**2. Suppose -13 = -6*y + 5. Let k be g(y). What is the greatest common factor of 5 and k?
5
Let 