w = -53 - -84. Let g = -17 + w. What is the highest common divisor of 21 and g?
7
Suppose -3 + 6 = -3*g. Let t(f) = -19*f - 1. Let n be t(g). Suppose 4*r - 18 = -3*x + 12, -4*x = -3*r + 10. Calculate the greatest common factor of r and n.
6
Let g(r) = r**3 - 6*r**2 + 8*r - 9. Let w be g(5). Calculate the highest common divisor of w and 66.
6
Let k be (7 - 5) + 1/(1/8). What is the greatest common factor of 10 and k?
10
Suppose f - 498 = -2*z, -z - 5*f + 180 + 87 = 0. Calculate the highest common divisor of 13 and z.
13
Let m(c) = -c - 4. Let b be m(-3). Let o be (-4 - -5) + 9 + b. Calculate the highest common divisor of 72 and o.
9
Suppose -4*y + 4*p = -52, -4*y + p + 4*p + 57 = 0. Suppose -4*s + 2 = -10. Let d be y*((-9)/s + 16). What is the highest common divisor of d and 13?
13
Suppose -l + 15 + 45 = 0. Calculate the greatest common factor of 12 and l.
12
Let m be 10/4*4/5. Let b(j) = 13*j**2 + 2*j. Let l be b(m). Suppose 0 = -0*v - 4*v + 56. Calculate the greatest common divisor of l and v.
14
Suppose 0 = 4*y + 2*d - 3*d - 273, -4*d - 344 = -5*y. Calculate the highest common divisor of 17 and y.
17
Let c(h) = -h**3 + h**2. Let k be c(-1). Suppose 1 = k*f - 5. Suppose 5*g = 4*q + 124, 0*g - q + 119 = 5*g. What is the greatest common factor of g and f?
3
Let s(i) = -2*i**3 - 2*i**2 + i + 2. Let l be s(-2). Let j be l/20 - 108/(-5). Calculate the highest common factor of 242 and j.
22
Let t be (33/22)/((-6)/(-224)). Suppose -w + 5 = -3. Calculate the greatest common divisor of t and w.
8
Let n(b) = 120*b**2 + b + 2. Let k be n(-1). What is the greatest common factor of 11 and k?
11
Let s(u) = -u**3 - 7*u**2 - 7*u + 5. Let a be 1/1*3*-2. Let i be s(a). Suppose -2*y + 3 = y. Calculate the highest common factor of y and i.
1
Let b(v) = 21*v**2 + 3*v - 1. Let w be b(2). Let r = 54 - w. Let l = -20 - r. What is the highest common factor of 75 and l?
15
Suppose -4*v + 20 = -24. Suppose 4*b - 9 = v. Let k be (b*-2)/((-14)/49). What is the highest common divisor of k and 7?
7
Let q = -45 + 25. Let a be 2/(-4) + q/(-8). Suppose v + 0 - a = 0, 0 = 2*n - 2*v + 2. What is the highest common divisor of 9 and n?
1
Suppose 5*i + 3*g - 10 = 0, -i + 6 = -g - 4. Let c be (4 - i)/((-2)/24). Suppose -3*w = -w - 264. Calculate the greatest common divisor of w and c.
12
Suppose 0 = c - 21 + 9. Calculate the greatest common divisor of 348 and c.
12
Let p = -14 - -10. Let h(i) = -4*i - 3. Let r be h(p). What is the greatest common factor of r and 13?
13
Let k(q) = -q - 7. Let r be k(-23). Let h = 129 - 1. What is the highest common factor of r and h?
16
Let z = -7 - -11. Suppose 3*d = 3*a - 3 + 6, 4*a = -5*d + 41. Suppose 0*n + 2*n - 60 = 4*b, 3*b - d = -n. Calculate the greatest common divisor of n and z.
4
Suppose -41*a = -44*a + 15. Calculate the greatest common factor of a and 10.
5
Let l = 25 - 22. What is the greatest common factor of l and 1?
1
Let h(l) = -l**2 - 12*l - 3. Let d be h(-9). Calculate the greatest common divisor of d and 72.
24
Let x be ((-3)/(-4))/((-6)/(-192)). What is the greatest common divisor of x and 264?
24
Let v = -9 - -5. Let c = v + 8. Calculate the greatest common divisor of 28 and c.
4
Suppose 7*h - 1171 = -331. Suppose 5*j - 17 = 5*x + 38, 0 = 2*j - 3*x - 18. Calculate the highest common factor of j and h.
15
Let y = 273 + -174. Calculate the highest common divisor of y and 9.
9
Let r be (2/(-6))/(-1*1/51). What is the highest common factor of r and 17?
17
Let g be (-1*1)/((-3)/12). Let j be g*3 - -3 - 3. What is the highest common factor of j and 4?
4
Let i = 61 - 36. Suppose -i = -2*g + 7. Suppose -4*d + 35 = 3*j - 9, d = j - 3. What is the greatest common divisor of g and j?
8
Let q(m) = -m**3 - m**2 + 12*m + 2. Let a be q(-4). Let d = 4 - 2. Calculate the highest common factor of d and a.
2
Let o = -177 + 221. Let i = 7 - -2. Let h = i - -2. What is the highest common divisor of o and h?
11
Suppose -p + 6*p + 2*u - 670 = 0, -142 = -p - 2*u. What is the greatest common divisor of 12 and p?
12
Let o(a) = -a**3 + 2*a**2 + 6*a - 1. Let t be o(3). Calculate the highest common factor of t and 8.
8
Let r = -18 - -21. Calculate the highest common factor of 27 and r.
3
Let t(z) = 63*z. Let j be t(1). Let y be (-2)/3 + 2/3. Suppose y = 5*q - 3*q - 14. Calculate the highest common factor of q and j.
7
Suppose 2*j + 0*j = 0. Let f = 4 + j. Let a = -19 - -63. Calculate the highest common divisor of a and f.
4
Let h = -3 + 7. Let p be (16/12)/(1/18). What is the greatest common factor of p and h?
4
Suppose 0 = -i + 6*i - 10. Suppose 3*l - 17 + i = 0. What is the greatest common divisor of 55 and l?
5
Let y(s) = -s**2 + 7*s + 10. Let q be y(8). Suppose 2*t = -5*a + 40, q*a - 3*a + 14 = t. Calculate the greatest common factor of t and 25.
5
Let o = 63 - 56. Suppose -4*t = -7*t + 24. Suppose -t*h + 4*h = -224. Calculate the greatest common divisor of h and o.
7
Suppose 5*r - 124 + 29 = 0. Calculate the highest common factor of 323 and r.
19
Let b be 4/14 + 672/49. Suppose -4*t + b + 26 = 0. What is the highest common factor of 50 and t?
10
Let p(i) be the second derivative of -i**4/12 + i**3 - i**2/2 + 3*i. Let a be p(4). What is the greatest common factor of a and 49?
7
Let f be (2 + -6)/(0 - -1). Let w = -15 - -7. Let c be w/f + (-102)/(-1). Calculate the highest common divisor of 13 and c.
13
Let g be 5 - (1 - (0 - 0)). Suppose 10 = 3*m + g. Suppose -m*n + 3*n = -5, 4*n = -3*l + 40. What is the greatest common divisor of 10 and l?
10
Suppose 0 = -5*n + 4*f + 33, 2*f + f - 18 = -n. Suppose 0 = -4*x + 5*x - 81. Suppose 2*m = -m + x. Calculate the highest common divisor of m and n.
9
Suppose 0 = -2*f - 4*y + 20, 65 = 5*f + y - 6*y. What is the greatest common divisor of f and 3?
3
Let q = 734 + -417. Suppose 0 = -5*n - 4*b - 1093, 4*n + 0*n - 4*b = -896. Let u = n + q. What is the highest common divisor of u and 12?
12
Let a be 273 + (9/(-1))/3. Suppose 4*q - a = -q. Suppose 3*f = f + 12. What is the highest common divisor of f and q?
6
Let o be ((-4)/1 - 1) + 12. Suppose -5*p + 0*p + 70 = 0. What is the highest common factor of p and o?
7
Suppose 11*i = 131 + 23. Calculate the highest common factor of 2 and i.
2
Suppose -5*i = -5*n + 35, 3*n + 3*i + 6 = n. Let h = 6 - n. Let j(z) = -z - 6. Let l be j(-7). What is the greatest common divisor of l and h?
1
Suppose z = -4*j + 24, 2*z - 96 = -2*z + 2*j. What is the highest common divisor of 36 and z?
12
Suppose -5*v - 8*a = -4*a - 164, 2*v - 64 = -2*a. Let h be -6*(-3)/1*1. What is the highest common factor of v and h?
18
Suppose 8 = -4*t - 4. Let i = t - -39. What is the highest common divisor of 4 and i?
4
Let n = 17 + -9. Calculate the greatest common divisor of 20 and n.
4
Let y = 6 - 6. Suppose y = t - j - 6, 0*j + 5*j - 24 = -t. What is the highest common divisor of t and 27?
9
Let s be ((-1)/2)/(3/(-156)). Calculate the highest common divisor of 39 and s.
13
Let a(w) = -18*w - 1. Let c be a(7). Let z(x) = 226*x**2 + x + 1. Let i be z(-1). Let y = c + i. What is the greatest common factor of 9 and y?
9
Let i(t) = 6*t - 16. Let p be i(21). Let s = 4 + -1. Suppose 0 = 2*l - s*w - 8, 5*l - 3*w = -0*l + 38. Calculate the highest common factor of p and l.
10
Let p(y) = -2*y**3 - 2*y**2 + y. Let b be p(-3). Suppose 0 = -2*t - 13 + b. What is the highest common factor of t and 70?
10
Let n be (10/(-4))/((-2)/4). Let h(d) = d**3 - 4*d**2 - 4*d + 6. Let k be h(n). Let o = -129 + 250. Calculate the greatest common factor of k and o.
11
Suppose 22 = i - 8. Calculate the highest common factor of 20 and i.
10
Suppose 0 = 3*b - 2*b + 89. Let g = 8 - b. Let d be -3 + 1*(g - -2). Calculate the highest common factor of 12 and d.
12
Suppose -3*j - 505 + 2329 = 0. Suppose 0 = 4*g, -5*w + w = 4*g - j. What is the greatest common factor of w and 19?
19
Let l(f) = -14*f + 5. Let k be l(-13). Let j = 0 - 1. Let r be (-19 + 2)/j - 0. Calculate the greatest common factor of r and k.
17
Let j = 74 - 49. Suppose 126 = 3*d + 2*y, 4*y + j + 101 = 3*d. What is the greatest common divisor of 14 and d?
14
Let b(m) = 0 + 0 + 9*m**3. Let s be b(1). Suppose 0 = -5*x + 4*x + s. Calculate the highest common divisor of 6 and x.
3
Let o be (72/(-14))/(4/(-28)). What is the greatest common divisor of 90 and o?
18
Let g(q) = -