
Suppose -5*m = -4*m - 4. Suppose -m*q + 36 = -3*q - 5*h, -2*q + 124 = 3*h. Calculate the greatest common divisor of 14 and q.
14
Let a be (0 - -1)/(4/12). Suppose -a = -n + 15. Calculate the greatest common factor of n and 2.
2
Let p(c) = -c**2 - 14*c - 20. Let w be p(-10). What is the greatest common divisor of 60 and w?
20
Suppose 6*t - 144 = 2*t. Suppose 7 - 3 = 2*u. Suppose a - 7 = u. What is the greatest common divisor of a and t?
9
Let y = -12 - -20. Calculate the highest common factor of y and 32.
8
Let x = 44 + -41. Let y = 17 - 12. Suppose y*z + 23 = 4*h, -3*h + 26 = -2*z - 0. What is the highest common divisor of h and x?
3
Suppose -w + 70 = 4*w. Calculate the greatest common factor of w and 112.
14
Let j = 25 - 13. What is the highest common factor of 84 and j?
12
Let f(w) = -w**2 + 6*w - 4. Let d be (-14)/(-4) + 2/4. Let a be f(d). Let x be (4 + 14/(-4))*24. What is the highest common factor of x and a?
4
Let d be 2/6 + 57/(-9). Let k be (-4)/d + (-196)/(-12). Calculate the greatest common divisor of k and 34.
17
Suppose -2*y - 180 = -3*m, m + 104 = -y - m. Let v be ((-3)/2)/(4/y). Suppose 2*i - v = i. Calculate the greatest common divisor of i and 24.
12
Suppose -4*z + t + 145 = -0*t, -4*z = -4*t - 148. What is the greatest common divisor of z and 9?
9
Let v be (33/(-9))/((-1)/60). Calculate the highest common factor of v and 20.
20
Let c(g) = g**2 - 15*g - 8. Let p be c(23). What is the highest common factor of p and 16?
16
Suppose f - 3*u - 1 + 215 = 0, -603 = 3*f + 4*u. Let s = -146 - f. Suppose -2*t + w + s = 3*t, t + 5*w = -9. What is the highest common divisor of 11 and t?
11
Let n(m) = m + 9. Let o be n(3). Calculate the highest common divisor of 60 and o.
12
Suppose 4*m + 54 = 3*x, 2*x = -0*x - 3*m + 53. What is the highest common factor of x and 22?
22
Suppose 7*f - 3*f + 20 = -4*t, -4*f - 23 = 5*t. Let z be t - (-2 - 9)/1. What is the highest common factor of z and 24?
8
Suppose -5*g = -0 - 5. Suppose -x - 2*z + 4 = -g, 2*x + 5*z - 5 = 0. Let a = -5 - -20. What is the greatest common divisor of x and a?
15
Let k be ((-21)/(-9) - 1)*-3. Let j be 0/((-3)/(-1 - k)). Suppose j*i = i - 15. What is the greatest common factor of i and 120?
15
Let j = 306 + -204. Let p be ((-2)/2)/((-6)/j). What is the highest common divisor of p and 68?
17
Suppose 4*i + 1 = 13. Let a = 8 - 5. Suppose 4*b - 9 = 5*o, a*b + 5*o + 2 = -0. Calculate the greatest common factor of i and b.
1
Let s be (-16)/12*-6*1. Let v = 13 - s. Suppose -v*n + 13 = j, -3*n - 5*j = -9 - 12. Calculate the highest common divisor of 6 and n.
2
Let f(g) = 3*g - 2. Let x be f(5). What is the greatest common divisor of 104 and x?
13
Let j be (-18)/15*(-35)/2. Let b = 344 - 155. What is the highest common factor of b and j?
21
Suppose -321 = -3*j + 141. What is the highest common divisor of j and 14?
14
Let j be (-4)/(-1 - -3) - -4. Let f = 2 - j. Let w be (-2)/1*(-3 + f). Calculate the greatest common factor of 2 and w.
2
Suppose 15 = 5*c + 2*a, 0*c + a = 3*c + 2. Let q be 3/1 + (-5 - -3). Calculate the highest common divisor of q and c.
1
Let m(y) = -y**2 + 6*y - 6. Let f be m(4). Let k = -1 + f. Calculate the highest common divisor of k and 9.
1
Let u(v) = 7*v + 2. Let w be u(6). Suppose 0*h = -h + w. What is the greatest common factor of 4 and h?
4
Suppose -5*x + 135 = l, -3*x - 2*l + 3*l = -89. What is the highest common factor of x and 112?
28
Let i(r) = 4 + 6*r - 4. Let a be i(5). Calculate the highest common divisor of a and 15.
15
Let y(l) = -l**3 + 2*l**2 + 2*l. Let d be y(2). Suppose 52 = d*w - 204. Calculate the greatest common divisor of w and 16.
16
Suppose -13 = r - 53. Suppose -2*q - 5*s + 11 = 0, -9*q = -5*q - 4*s - 36. What is the greatest common factor of q and r?
8
Suppose -4*c + 31 = -3*x, 0 = x - 4*x - 15. Suppose 4*v - g = g + 48, -c*v - 3*g = -68. Calculate the highest common divisor of 126 and v.
14
Let w(g) = 6*g - 1. Let k be w(-1). Let o(f) = -f**3 - 6*f**2 + 3. Let z be o(-6). Let i be 3 - z - -3 - k. What is the greatest common divisor of i and 80?
10
Let m = -262 - -114. Let t be m/(-5) + 14/35. Let c(n) = -n**2 + 8*n - 5. Let z be c(5). Calculate the highest common divisor of z and t.
10
Let n be 4/(-14) + (-394)/(-7). Let a(c) = -c**2 + 16*c - 14. Let z be a(14). What is the greatest common factor of z and n?
14
Suppose -3*m + 19 = -m - a, -m - a + 11 = 0. Calculate the highest common factor of m and 30.
10
Let z(a) = -21*a**3 + 3*a + 2. Let s be z(-1). What is the highest common divisor of 5 and s?
5
Let g = 7 + -13. Let b(n) = n + 8. Let i be b(g). What is the highest common factor of 14 and i?
2
Let y be (-36)/(-4)*(-40)/(-12). What is the highest common factor of 30 and y?
30
Let t(c) = 2*c**2 - 4*c. Suppose 3*b + 8 = -1. Let f be t(b). Calculate the highest common factor of f and 30.
30
Let o be 3 - (-6)/(3/1). Suppose 4*v - 175 = o. What is the greatest common factor of 5 and v?
5
Let o = 113 + -41. Suppose o = -h - h. Let f be h/(-8)*(-26)/(-3). Calculate the highest common divisor of 26 and f.
13
Let w(n) = -n**3 + 6*n**3 + 10 - 6*n**3 - 11*n - 11*n**2. Let h be w(-10). Calculate the greatest common factor of 4 and h.
4
Let j(r) = -4*r - 10. Let y be j(-6). What is the greatest common factor of y and 112?
14
Let o(x) = -x - 1. Let z be o(-4). Suppose -2*g + 3 = a, 0 = 5*a + 3*g - 8. What is the highest common divisor of a and z?
1
Suppose -4*b + 463 = -109. Let h = 2 - 2. Suppose f + 2*q - 23 = h, 2*f + q = 5*q + 6. What is the greatest common divisor of b and f?
13
Suppose -5*q - 2*b - 200 = 0, 4*b - 188 = -q + 5*q. Let d be (-32)/(-24)*q/(-4). What is the highest common factor of d and 2?
2
Let c(g) = g**3 - 6*g**2 + 4*g + 1. Let f be c(5). Let l be ((-2)/f)/((-2)/4). Let b be (-15)/(l*1/3). Calculate the greatest common factor of b and 5.
5
Let m be (2/1)/((-3)/(-12)). Let s be (-51)/(-12) - 2/m. Suppose s*z = -o + 182, -z - 3*o = -6*z + 219. What is the greatest common factor of 18 and z?
9
Suppose -5*z + 4*d + 41 = 0, 0 + 18 = 2*z - 2*d. Calculate the greatest common divisor of z and 2.
1
Let d = -43 + 68. Let p = 14 - 7. Let q(n) = -n**2 + 8*n - 2. Let o be q(p). Calculate the highest common factor of d and o.
5
Suppose -5 = 2*m + 1. Let f = m + 27. Calculate the greatest common factor of 3 and f.
3
Let g(r) be the first derivative of 7*r**2/2 + 2*r + 7. Let l be g(6). What is the highest common divisor of l and 110?
22
Let a be ((-48)/20)/((-1)/5). Let n be (-112)/a*3*1. Let b = -9 - n. Calculate the greatest common divisor of b and 171.
19
Let b = -4 - 2. Let a be (b/(-7))/((-1)/(-28)). Let p be 50/20*24/10. What is the highest common factor of p and a?
6
Let v(q) = q**3 - 7*q**2 + 9*q - 6. Let a be v(6). Calculate the greatest common divisor of a and 12.
12
Suppose -c + 3*c + 150 = 0. Let x be 0 - 1*(c - 2). What is the highest common factor of 7 and x?
7
Let b = 2 + 2. Suppose -n - 4 + 16 = o, -b = -2*n. Let k = 2 + o. What is the highest common factor of k and 3?
3
Let b(j) = 60*j**3 + j**2 - j. Let i be b(1). Suppose 3*m - 41 = -5. Calculate the highest common factor of i and m.
12
Let i(a) = 22*a**2 + 3*a + 1. Let z be i(-2). Let u = z - 53. What is the greatest common factor of u and 20?
10
Let q(x) = x**3 - x**2 + 42. Let u be q(0). Let p(h) = h**3 + 15*h**2 + 12*h - 7. Let z be p(-14). Calculate the greatest common factor of z and u.
21
Let r be 13/2 - 1/(-2). Let a(w) = -w**3 + 9*w**2 + 9*w - 4. Let t be (-18)/((-3)/1) + 3. Let u be a(t). Calculate the highest common factor of u and r.
7
Suppose -102*b + 396 = -98*b. What is the highest common factor of b and 11?
11
Let c = 4 + 18. Let q(o) = -o**2 + o + 1. Let f be q(-2). Let a = c - f. Calculate the highest common divisor of a and 18.
9
Let j(t) = t**2 + t - 2. Let d be j(-4). Suppose 37*b - 39*b + 60 = 0. What is the highest common divisor of b and d?
10
Let m be (2 - 20 - -1)*-4. Let y = 104 - m. Let f be (-1 - 0)*(-11 + -13). Calculate the highest common divisor of f and y.
12
Let f(n) = -10*n + 15. Let m be f(-12). Calculate the highest common factor of m and 15.
15
Let m be ((-84)/(-10))/((-11)/((-1540)/21)). What is the greatest common divisor of 14 and m?
14
Let x be (-56)/(-10) - 2/(-5). Let q be (x/5)/((-6)/(-280)). Let k(c) = -5*c - 2. Let y be k(-2