t l(c) = -8*c + 1. Suppose 4*a - 2*j = -22, -j + 6 = -a - 1. Let k be l(a). Calculate the greatest common divisor of q and k.
3
Suppose 18 = -u - 4*v, -v - 6 = 2*u + v. Suppose 0*q - 14 = -5*q - 3*t, -u*t - 12 = -2*q. What is the highest common divisor of q and 8?
4
Let b(p) = p**3 - 10*p**2 + 2*p - 10. Let g be b(10). Let z be (-2)/(-5) + (-557)/5. Let l = 211 + z. Calculate the highest common divisor of g and l.
10
Let b(n) = -693*n + 683*n + n**3 + 40 + 12*n**2 - n**2. Let l be b(-12). Calculate the greatest common divisor of 8 and l.
8
Let o = 14 + -12. Let y(z) = z**3 - 3*z**2 + 2*z + 1. Let u be y(o). Suppose 0*f - 2 = -2*f. Calculate the greatest common divisor of f and u.
1
Let z(f) = 2*f + 8. Let i be z(4). Let j = 19 - i. Let q = 0 - -1. What is the greatest common divisor of j and q?
1
Let i = 5 + -3. Let n(o) = -o**3 + 8*o**2 - 10*o - 24. Let g be n(5). What is the highest common factor of i and g?
1
Suppose 12380 = -9*h + 14*h - 5*m, 3*m + 12 = 0. Calculate the greatest common factor of h and 24.
24
Let p be (-1)/(-2) + (-6)/(-4). Suppose 53 = 4*a + i, -20 = -a + 4*i - p*i. What is the greatest common factor of 35 and a?
7
Let h(v) = 383*v - 13. Let g be h(-1). Let r be (g/(-10) + 2)/((-4)/(-20)). Calculate the highest common divisor of 13 and r.
13
Let v(f) = -10*f - 22. Let z be v(-5). Let r = 48 - z. What is the highest common divisor of 10 and r?
10
Let i(a) = -3*a - 4. Let r be i(-3). Suppose 41 = r*o + 11. Suppose 0 = -o*g + 2*g + 16. Calculate the greatest common divisor of g and 12.
4
Suppose -100*n + 116*n - 1024 = 0. Calculate the highest common factor of n and 208.
16
Let b = 13 + -1. Let p be 394/10*-1*-5. Suppose -2*f = -2*a - f + p, -5*f + 263 = 3*a. Calculate the greatest common factor of a and b.
12
Suppose -6*l + 2*l = -5508. Suppose -5*t + 2*b = -1750, 4*t + b - l = -2*b. Let d be (t/10 + 2)*5. What is the greatest common divisor of 23 and d?
23
Let b = -128 - -158. What is the highest common factor of 6 and b?
6
Let y = -113 - -189. Let j(f) = f**2 - 4*f + 18. Let u be j(12). What is the highest common divisor of y and u?
38
Let s be 0 - 1 - 39/(-3) - 0. Suppose 3*u + 2*y - 404 = 0, -9*u = -4*u - 4*y - 644. What is the highest common factor of s and u?
12
Let z be -42*(-7)/70*(-10)/6*-2. Let l = -74 + 228. What is the highest common divisor of l and z?
14
Let y(p) = p**2 - 35*p + 187. Let m be y(44). Calculate the highest common divisor of m and 212.
53
Let f = -202 + 557. Suppose 0 = 3*c - 4*h - f, -2*c - 2*c + 4*h + 472 = 0. What is the greatest common divisor of 39 and c?
39
Let o(z) = -z**2 + z - 6. Let l(d) = d**2 - d + 1. Let g(r) = -2*l(r) - o(r). Let h be g(0). Calculate the highest common factor of 20 and h.
4
Let l be (-4788)/(-209) + 6/66. Calculate the greatest common divisor of l and 3496.
23
Let j be (564/24 + -17)*(-1 + 75). What is the greatest common factor of j and 13?
13
Let d be 19/7 + (-4)/(-14). Suppose 2*b - d*b + 76 = 0. Let k be (-76)/(-6)*(6 - (-54)/(-12)). What is the greatest common divisor of k and b?
19
Suppose 3*r - 342 + 2529 = 3*p, 0 = -3*p - 3*r + 2181. What is the highest common factor of p and 56?
56
Let c = -66 + 71. Suppose -c*g + 8 = -g. Suppose -11 = -2*a + 5. Calculate the greatest common divisor of a and g.
2
Suppose -s - 5*m + 30 = 0, 5*s = 4*s + 2*m - 5. Suppose -5*b - 6*w = -s*w - 43, -3*w - 6 = 0. Calculate the highest common factor of b and 1.
1
Let p be -2 - ((2 - 22) + -2). Let k be (9/6)/((-402)/(-96) - 4). What is the greatest common factor of k and p?
4
Let a = 187 - 152. What is the greatest common factor of a and 7?
7
Let u = 34 + -18. Suppose -82 - u = -7*f. Let y = 111 - 76. What is the highest common factor of y and f?
7
Let o(k) = -13*k - 132. Let s be o(-12). What is the greatest common divisor of s and 480?
24
Let t be -1*6/39 + 660/65. Calculate the greatest common divisor of 320 and t.
10
Suppose 2*w - w - 76 = 2*o, -5*w = 3*o - 445. Let c = w - 73. Suppose -4*y + 227 = -f - 295, 10 = -5*f. Calculate the highest common factor of c and y.
13
Let g(a) = 21*a**2 + 10*a - 112. Let f be g(8). What is the greatest common divisor of 41 and f?
41
Let n(f) = 65*f**2 + 2*f + 1. Let i be n(-1). Suppose -327 = -2*p + 4*k - 151, 0 = p + 2*k - 104. Calculate the highest common factor of p and i.
32
Let d be 2170/77 + 2/(-11). Let i = -74 + 78. What is the highest common factor of d and i?
4
Suppose 0 = 27*b - 480 - 411. What is the greatest common divisor of 132 and b?
33
Let g(t) = -3*t**2 + 48*t - 32. Let s be g(14). Calculate the highest common divisor of 416 and s.
52
Suppose -1311*j = -1316*j + 480. What is the greatest common divisor of 60 and j?
12
Suppose 0 = -5*s + 2*l + 10, 5*s - s = l + 8. Suppose -s*r + 34 = 8. Let t be 1*(-3)/(3/(-13)). What is the greatest common divisor of t and r?
13
Suppose -2*q = 2*c - 6, -9 = -4*q - 4*c + 3*c. Suppose -x + 4*x - 16 = q*o, -4 = -o. Calculate the highest common factor of 72 and x.
8
Let w be 6/(-10) - (-18)/30. Let i be (5/(-2) + 2)*w. Suppose 5*a - 51 - 19 = i. Calculate the greatest common divisor of 14 and a.
14
Suppose -3*w = g + 2*g - 54, -5*w = 2*g - 33. Let n be (1 + 0)*17 - -2. Calculate the greatest common divisor of n and g.
19
Let v be (2652/48)/17 + (-10)/8. Calculate the greatest common divisor of 5 and v.
1
Let d(m) be the first derivative of -3*m**2/2 + 81*m - 10. Let h be d(26). Calculate the highest common factor of h and 57.
3
Let x be (-123)/(-9) + 4 - 2/(-6). Let d be x - 12 - (-2 + 5 + 0). Calculate the highest common factor of d and 9.
3
Let s be 115 + 6 + (1 + -3)/2. What is the highest common factor of s and 40?
40
Suppose 623 = 5*c - 2*f - 230, 3 = 3*f. Calculate the highest common divisor of c and 19.
19
Suppose 0 = 8*x - 137 - 7. Let p(k) = 7*k**2 + 3*k**3 + 11*k**3 - 3*k**2 - 3*k - 4*k**3. Let m be p(2). Calculate the greatest common divisor of x and m.
18
Let j be 10/4*(0 + 2). Suppose 0 = -5*s + 2 + 198. Suppose -2*q - 3*z + s + 25 = 0, 3*q + 4*z = 100. Calculate the highest common factor of j and q.
5
Suppose -12 = 3*o, 76 + 73 = 3*q - 5*o. Calculate the greatest common factor of 301 and q.
43
Let k = 184 - 104. Suppose 0 = -u + 6*u - k. Suppose 23*d - 5031 = -983. Calculate the highest common divisor of u and d.
16
Let j(b) = b**3 - b + 4. Let d be j(0). Let m be d/(-5 - -1) - -15. What is the greatest common divisor of 112 and m?
14
Let m(r) = 2. Let j(a) = 2*a - 43. Let n(f) = 2*j(f) + 22*m(f). Let c be n(15). What is the greatest common divisor of 4 and c?
2
Let s be (112/6)/((-10)/(-15)) + -4. Calculate the greatest common divisor of s and 9.
3
Let c be ((-4)/6)/((40/(-14484))/5). Calculate the greatest common divisor of 17 and c.
17
Let x(w) = -w**3 + 9*w**2 + w + 2. Let p be x(9). What is the highest common factor of 374 and p?
11
Suppose 2*q = 5*j + 88, -5*j - 166 = -9*q + 5*q. Let g = 335 - 205. Suppose 5*h = -0*h + g. Calculate the highest common factor of h and q.
13
Let g = 111 - 65. Suppose -8*t = -58 - g. What is the highest common factor of t and 39?
13
Let z = -74 - -78. Suppose 5*l = 5*r + 255, -4*l = z*r - 9*r - 206. What is the highest common divisor of 7 and l?
7
Let g be (-4336)/(-208) - 4/(-26). Calculate the highest common divisor of g and 14.
7
Let l = -4 + 74. Calculate the greatest common divisor of l and 50.
10
Let x be 77/(8 + -1) - 1*2. Let t be (-48)/x*54/(-4). What is the highest common factor of t and 8?
8
Let j(o) = -2*o - 6. Let p be j(-15). Let u be ((-28)/6)/((-16)/p). Suppose 2*a - u*a = -500. What is the highest common divisor of a and 20?
20
Let t be -1 - -2 - (-4 + 1). Let l be (3 - (-3 + -4)) + -18. Let r be 158/t + 4/l. What is the greatest common factor of r and 26?
13
Let g(y) be the third derivative of 11/24*y**4 - 1/60*y**5 + 0 + 0*y - 5*y**2 - 7/6*y**3. Let o be g(10). What is the highest common factor of o and 12?
3
Let v(i) = 2*i + 45. Let r be v(-14). Calculate the highest common divisor of r and 1.
1
Let j = -150 + 350. Let x be (-124)/(-32) - 9/(-72) - -36. What is the greatest common divisor of x and j?
40
Suppose -13*p - 45 + 370 = 0. Calculate the greatest common divisor of p and 3.
1
Let o = -473 + 512. What is the highest common divisor of 156 and o?
39
Let m = 31 + -18. Suppose 40 = -5*b - 200. Let s = -22 - b. What is the