Calculate the greatest common factor of h and m.
16
Let b(h) = -h**3 + 8*h**2 - 5*h + 10. Let p = 8 + -2. Let c be b(p). Let q(i) = 2*i**2 + 2*i + 1. Let n be q(2). What is the greatest common factor of c and n?
13
Let w = 695 - 590. What is the highest common divisor of 245 and w?
35
Suppose 121 = 5*d + 4*x, 4*d - 2 - 70 = 3*x. Suppose 2*v - 28 = -3*p, v + 4*v - 2*p - 70 = 0. Calculate the highest common divisor of v and d.
7
Let z be 542/10 + 1/(-5). Let p(s) = -s**2 + 19*s - 1. Let w be p(10). Suppose 5*x - 1 = w. What is the highest common factor of x and z?
18
Let b be 5/(-10) + (-95)/(-10) + 3. Calculate the greatest common factor of 240 and b.
12
Suppose 2*g + 206 = 3*h - 85, -2*h + 195 = -g. Let m = 128 - h. What is the highest common divisor of 29 and m?
29
Suppose -5*y + 138 = 3*t, -2*t + 5*y - 2*y + 92 = 0. What is the greatest common factor of 230 and t?
46
Suppose 11*u - 49 = -4*s + 14*u, -3*u = 5*s - 95. What is the greatest common divisor of 56 and s?
8
Let i(u) = -u + 15. Let l be i(30). Let h = 22 - 15. Let d = h - l. Calculate the highest common divisor of 66 and d.
22
Let q = -6 + 24. Let h = 34 - q. What is the greatest common divisor of h and 112?
16
Let t = 603 + -576. What is the greatest common factor of 144 and t?
9
Suppose -4*c - 3*p + 229 = 2*p, 170 = 3*c + 2*p. What is the highest common divisor of c and 40?
8
Let y(k) = -3*k**3 - 2*k**2 + 18*k + 12. Let g be y(-5). Calculate the greatest common factor of 26 and g.
13
Let h(i) = 29*i + 12. Let t be h(2). Calculate the greatest common divisor of 7 and t.
7
Let p(a) = -3*a**3 - 12*a**2 - a + 14. Let y be p(-7). Calculate the greatest common factor of y and 66.
66
Suppose -7482 - 4342 = -4*p - 4*g, 4*p - g = 11834. What is the highest common factor of p and 102?
102
Let y(o) = -o**2 + 3*o + 0 - 10 + 5*o. Let p be y(4). Suppose -18 = -g - 0. Calculate the greatest common factor of p and g.
6
Let n(c) = -67*c**3 + 3*c**2 + 7*c + 6. Let o be n(-2). Suppose 0 = -106*r + 102*r + o. What is the highest common factor of 45 and r?
45
Let y(u) = 23*u + 173. Let x be y(-7). Let r = -4 + 6. Suppose -20 = r*n - 212. What is the greatest common factor of x and n?
12
Let k(m) = 2*m**3 - 20*m**2 - m + 10. Let y be k(10). Suppose -4*r - 7*r + 5203 = y. What is the highest common divisor of r and 43?
43
Let m(j) = -j - 3. Let l be m(-8). What is the greatest common factor of l and 95?
5
Let y(t) = -2*t**2 + 5*t + 3. Let a be y(4). Let i be 18/(-2)*15/a. Suppose -f + 30 = 3*b, b - 4*b = -i. Calculate the greatest common factor of 10 and f.
5
Suppose -4*p - 20 = 0, -20*u = -23*u + 5*p + 2434. What is the greatest common divisor of 73 and u?
73
Let s be (106/3)/(352/33 - 10). Calculate the greatest common factor of s and 1.
1
Let w(h) = 3*h**2 + 11*h - 19. Let a be w(2). What is the highest common divisor of 915 and a?
15
Let y(f) = f**2 + 10*f + 6. Let g be y(-10). Suppose 0 = -j + g - 5. Let r(b) = 55*b - 1. Let l be r(j). Calculate the highest common factor of 81 and l.
27
Let w(s) = -95*s - 320. Let o be w(-4). Calculate the greatest common divisor of o and 132.
12
Let b be 24*11/((-77)/(-14)). Calculate the greatest common factor of b and 112.
16
Suppose 0 = -3*j + 2*a + 38, j - 4*a = 18 + 8. Suppose 2*x = 32*o - 36*o + 50, 5*o = 3*x + 90. Calculate the highest common factor of o and j.
5
Let u be 1224/24 - (6 - -1). What is the greatest common divisor of u and 77?
11
Suppose -24*r = 33*r - 798. Calculate the highest common divisor of 10 and r.
2
Let n = 153 - 102. Suppose -48 + n = y. Calculate the greatest common divisor of y and 3.
3
Let k be 6 + 6 - (4 + -7). What is the highest common factor of k and 9?
3
Suppose 15 = 5*o, 0*l - 64 = -4*l - 4*o. Let v = 30 - 18. Let c(a) = a**3 - 12*a**2 + 9*a + 9. Let j be c(v). Calculate the greatest common divisor of l and j.
13
Suppose 0*g - g - 4 = 0. Let z be 23 + -3*g/(-6). Suppose 5*i + r = -0*i + z, 2*r + 10 = 3*i. What is the greatest common divisor of 36 and i?
4
Let n(y) = -6*y**2 + y - 6. Let l be n(-7). Let j(g) = 3*g**3 + 3*g**2 + 5*g + 7. Let w be j(5). Let v = w + l. Calculate the highest common factor of v and 25.
25
Let y(u) = u - 4*u + 61 - 60. Let f be y(1). Let l(q) = -16*q - 2. Let t be l(f). Calculate the highest common factor of 240 and t.
30
Suppose 5 = 3*o - f, -2*f = 2*o - 1 + 11. Suppose u - 10*u + 252 = o. Calculate the greatest common factor of 28 and u.
28
Let n(t) = t**3 + 7*t**2 - 8*t - 2. Let j be n(-8). Let h = j + 30. Let z(c) = -c**2 + c + 4. Let x be z(0). What is the greatest common divisor of x and h?
4
Suppose -4*c = d - 101, -2*d = -3*c + d + 72. What is the greatest common divisor of 225 and c?
25
Suppose 4*s - 7*z - 239 = -2*z, 5*s + 2*z - 340 = 0. Let u = s - 61. What is the greatest common divisor of 50 and u?
5
Suppose -r - 2*q + 6 = 0, 0*q + 20 = 2*r - 4*q. Let s = 4 - r. Let g be (s - 3)/(3/(-24)). Calculate the highest common divisor of 7 and g.
7
Let c(q) = -6*q + 2. Suppose -3*m = -3*n + 6, 5*m + n - 1 - 1 = 0. Let k be c(m). What is the highest common divisor of 38 and k?
2
Let a = 16 - 30. Let v = a + 30. Suppose -6*c + v = -116. Calculate the greatest common factor of c and 33.
11
Suppose -54 = -7*f + 4*f. Let t be (-3)/(-4) + 410/8. Suppose -3*y - 4*o + t = -3*o, 3*o - 48 = -3*y. Calculate the highest common factor of f and y.
18
Let k be 61 + 7 + (-12)/6. Calculate the highest common divisor of k and 66.
66
Let l be (297 - (1 + 1))*20/100. Calculate the greatest common divisor of l and 1357.
59
Suppose 4*u + 45 = 157. What is the greatest common factor of 175 and u?
7
Let i = -1860 + 2630. Calculate the greatest common divisor of i and 70.
70
Let i be 138/(-92)*52/(-6). Suppose 5*a - 1112 - 1133 = 0. Suppose -3*j = -4*t - a, -j + 0*t + 138 = t. Calculate the greatest common divisor of i and j.
13
Let v = 1094 - 1021. Calculate the highest common divisor of v and 2.
1
Let o = 7 + 28. Suppose -3*d = 3*r - 27, -3*d + o = -6*r + r. Let x be (175/d)/((-2)/(-12)). Calculate the highest common divisor of x and 21.
21
Let x(c) = -8 + 1 - 24*c**3 + 3*c + 8 - 217*c**3 + 3*c**2. Let r be x(-1). Let a be (-3)/(3/(-19)) - -3. Calculate the greatest common factor of r and a.
22
Let u be 4/(-22) + (-1002)/(-66). What is the greatest common factor of 405 and u?
15
Let w = 4 - 3. Let m be (11 + -1)/2 + w. Let a(r) = -r**3 + 10*r**2 - 11*r + 2. Let p be a(8). Calculate the highest common factor of p and m.
6
Suppose -6*a = -2*a - 12. Let n = a + -1. Suppose 3*p + n*p = 120. What is the greatest common factor of p and 6?
6
Let o = 2796 - 2788. What is the highest common factor of o and 2360?
8
Let y be ((-2)/(-4))/(2/12). Let v be 8 - (12/y)/2. Let s = -41 + 45. What is the greatest common divisor of s and v?
2
Let u = 1657 - 1645. What is the greatest common factor of u and 1?
1
Let u(c) = 3*c + 33. Let o be u(-2). What is the highest common factor of 459 and o?
27
Let n = 44 - 40. Let v(w) = -w**3 - 4*w**2 - 2*w - 2. Let x be v(-4). Suppose x*h - 2*h = 128. What is the highest common factor of n and h?
4
Let p = 77 - 33. Let b be (p/(-5))/(4/(-30)). Calculate the greatest common factor of 6 and b.
6
Let n = -11 + 62. Let k = n + -36. Calculate the greatest common factor of 105 and k.
15
Suppose 0 = -5*g - 3*c + 196, -28*g - 2*c = -31*g + 129. Let h be (-74)/(-2) + 2 + 2. Calculate the greatest common divisor of h and g.
41
Suppose -2*c - 3*c + 285 = 0. Let j be (3/(-5))/(28861/1805 - 16). What is the greatest common divisor of c and j?
57
Let k = 218 - 114. Suppose 2*q + q = -90. Let i = q - -43. Calculate the greatest common factor of k and i.
13
Let w(z) = -z + z**2 + 0*z + z**2 - 1. Let u be -1 - 1*(7 + -4). Let y be w(u). Calculate the greatest common divisor of 14 and y.
7
Suppose -3*w - 2*g + 27 = -0*w, 36 = 4*w + 4*g. What is the greatest common divisor of 63 and w?
9
Suppose 0 = -0*o - 5*o - t + 34, -4*o + 25 = 3*t. Calculate the highest common factor of o and 63.
7
Let f = 2 + 5. Let m be 7/(f/(-2)) - 16. Let d = m - -36. Calculate the greatest common divisor of d and 126.
18
Suppose 0 = -4*j + 7 + 9, -5*l + 371 = -j. Calculate the greatest common factor of 600 and l.
75
Let b = 79 - -7. Let s = b + -73. What is the highest common divisor of 117 and s?
13
Suppose 33 - 233 = -2*v. Suppose -95