8.
22
Let a = -283 + 411. Calculate the highest common factor of 16 and a.
16
Let c be (9/6)/(15/20). Let u(a) = 10*a + 1. Let t be u(c). Calculate the highest common divisor of t and 14.
7
Let g be (6/2)/3*24. Let k(x) = 3*x - 7. Let m be k(5). Calculate the highest common divisor of g and m.
8
Suppose 612 = -2*u + 3*z, -5*u + z - 1234 = -u. Let f = -600 - u. Let c be f/(-9) - 1/3. Calculate the highest common factor of 4 and c.
4
Let x = -13 + 27. What is the greatest common factor of x and 112?
14
Suppose -3*o + 5*l = -744, l = 3*o - o - 503. What is the highest common divisor of 11 and o?
11
Suppose 0 = -3*c + 3 + 9. Let r be (-5)/(1*(-2)/c). Calculate the greatest common factor of 4 and r.
2
Let c be (-113)/(-2) - (-2)/(-4). Let g(b) = -5*b. Let a be g(-2). Suppose z - 4*k = a, z - 4*z + 4*k = -38. What is the highest common factor of c and z?
14
Suppose 4*w + 20 = 9*w. Suppose -f + 100 = 3*i - 0*i, i - 5*f = 12. What is the greatest common factor of i and w?
4
Suppose 3*t + 94 = 5*a, 4*t - a - 2*a + 107 = 0. Let d = t - -53. Calculate the greatest common divisor of d and 10.
10
Suppose -2*d + 5 = -21. Let k = -24 + 40. Suppose 3*c + k = y - 2*c, 5*y - c = 128. Calculate the highest common factor of y and d.
13
Suppose -4*l + c + 12 = 0, 2*c - 1 + 5 = 3*l. Suppose d + 4*d - 100 = 0. Calculate the greatest common divisor of l and d.
4
Let w = 3 + 2. Suppose 3*z - 103 = -w*j, 5*z = -j - 4*j + 155. What is the highest common divisor of z and 39?
13
Let l be (-10)/(-3)*(46 + -1). Let i = 32 + -17. Calculate the highest common divisor of l and i.
15
Let m(j) = -3 - 4 - 3 + 5*j - 4*j + 7*j**2 + j**3. Let v be m(-7). Let k = 28 + v. Calculate the greatest common factor of 11 and k.
11
Let y(r) = 2*r**3 - 4*r**2 + r - 8. Let q be y(4). Suppose -5*o = -4*c + 53, 5*c - 55 = -5*o - 0*o. What is the greatest common divisor of q and c?
12
Let t(p) = -p - 1. Let a be t(-6). Suppose a*r - 26 = 19. Let d = 3 + 24. What is the greatest common factor of r and d?
9
Let t be (-238)/(-5) + 24/60. What is the highest common factor of 6 and t?
6
Let h(q) = q**2 + 3*q. Let w be h(-5). Let l be ((-5)/2 - 0)*-20. What is the greatest common factor of w and l?
10
Let v(j) be the third derivative of j**4/8 + j**3/2 + 2*j**2. Let n be v(4). Let g be 9/3 + 3 + 24. Calculate the highest common factor of g and n.
15
Let v(t) = 0 + 2*t + 2*t**2 - t + 2. Let b be v(-4). Let w = -11 + 17. What is the highest common divisor of b and w?
6
Let s(p) = -p**3 - 15*p**2 - 15*p - 5. Let b be s(-14). Calculate the highest common divisor of b and 18.
9
Let h be 4*((-570)/(-24))/5. What is the greatest common factor of h and 19?
19
Let r be (6/(-14))/(14/(-98)). Suppose d = -r + 6, -189 = -3*z + d. What is the highest common factor of 8 and z?
8
Let r(j) = -16*j + 13. Let p be r(-5). What is the highest common factor of p and 31?
31
Let a(x) = -3*x**2 + x**3 - 2*x**2 + 2 - 4*x + 1. Let p be a(6). What is the highest common divisor of p and 75?
15
Let g be 14/24*3*4. Suppose -4*u - 3*i = g, 3*u + 2*u - 25 = 3*i. Suppose -2*o + 106 - 25 = -b, u*o - 2*b = 82. Calculate the greatest common factor of 4 and o.
4
Suppose -2*w - 5*r = 10, 2*w - 17 = r - 3. Suppose -5*z + 12 = -z - 4*l, -4*z + 10 = -w*l. Let q = 85 - 45. Calculate the greatest common factor of z and q.
5
Let s(g) = g**2 - 2*g - 4. Let z be s(-5). Suppose -28*a = -23*a - 465. Calculate the highest common factor of z and a.
31
Suppose 0 = 3*v + 3*m + 31 - 226, 0 = -2*v - 4*m + 140. Suppose -i = -3*i + v. Calculate the highest common divisor of 15 and i.
15
Suppose 2*k + 2 = 58. Let p(y) = -y - 10 - y + 0*y. Let l be p(-7). Calculate the greatest common divisor of l and k.
4
Let j be 2/8 - 7/((-112)/1052). Calculate the highest common factor of j and 22.
22
Suppose 0 = -w - 0 + 4. Let v = -1 + -4. Let c be ((-32)/(-5))/((-1)/v). Calculate the greatest common factor of w and c.
4
Let x = 36 - 30. What is the greatest common factor of 48 and x?
6
Suppose b + 4*b = -10. Let r be 12*(12/(-9))/b. Suppose -w + 4*a + 26 = 0, 0 = 3*w - 2*a - 46 + r. What is the greatest common divisor of 30 and w?
10
Let b be 0 - 2/(4/(-34)). Let z be 561/34*(74/6 - 1). Calculate the highest common factor of b and z.
17
Let i = 41 + -40. Calculate the highest common divisor of i and 1.
1
Let t = 29 + -50. Let o = t - -101. What is the highest common factor of o and 10?
10
Suppose 3*l + 4*q - 64 = -7, -5*q - 107 = -4*l. Suppose z + 18 = l. Calculate the highest common divisor of z and 45.
5
Let v(d) = 5*d - 29. Let c be v(6). Calculate the highest common divisor of c and 7.
1
Let u(b) = -b + 8*b**2 + 7*b + 4*b**3 + 8 - 3*b**3. Let c be u(-7). Calculate the greatest common factor of c and 60.
15
Let y(s) be the second derivative of s**4/12 + s**3/2 - 3*s**2 - 4*s. Let j be y(-6). What is the highest common factor of j and 12?
12
Suppose -w = -2*x - 25, 3*x + 31 + 17 = 2*w. Calculate the highest common factor of 21 and w.
21
Suppose 87 = 3*i - y - 8, -49 = -i - 4*y. Calculate the greatest common divisor of i and 44.
11
Let p = 53 - 31. Suppose 4 = 4*o - 5*j - 19, 2*j = 2*o - 10. What is the greatest common factor of p and o?
2
Let n be (2/5)/((-13)/(-65)). Suppose -3 = -3*p + 3. Let r be 17 + (-2 - (-6)/p). Calculate the greatest common divisor of r and n.
2
Suppose 0 = 3*b + 3*m - 3, -5*b - 2*m + 20 = 0. Let f be b/(-18) + (-52)/(-3). Calculate the greatest common divisor of 153 and f.
17
Suppose 15 = -5*y, 2*k - k = 4*y + 20. Let d be 3/(-6) + (-74)/4. Let g = -7 - d. What is the greatest common divisor of g and k?
4
Let o(n) = n + 6. Let f be o(8). Suppose f + 40 = 3*c. Suppose 4*r - 59 = 13. Calculate the highest common divisor of c and r.
18
Let u(r) = -r**3 + 4*r**2 + 4*r - 2. Let o be u(4). Let d = o + -3. Calculate the highest common divisor of 88 and d.
11
Suppose -4*b + 4*q = -68, -5*b = q + 12 - 73. Calculate the highest common factor of b and 13.
13
Let p be (-2)/(24/14 - 2). Suppose 5*c + p = 4*c. Let n = c + 22. Calculate the highest common divisor of n and 6.
3
Let u be (-130)/(-15)*(6 + -3). What is the greatest common factor of 13 and u?
13
Let j be (16/12 + -2)*-3. Suppose j*p = -2*z + 11 + 11, -37 = -3*z + p. What is the highest common factor of z and 8?
4
Let l = 14 + -7. What is the greatest common factor of l and 77?
7
Suppose q - 3*h - 19 = -0*h, -h - 137 = -5*q. Calculate the greatest common factor of 7 and q.
7
Suppose -3*v + 2 = 4*a, -5*a = -3*v - 11 + 49. Let d(f) = 5*f**2 + 2*f + 1. Let z be d(-1). What is the greatest common divisor of v and z?
2
Suppose 3*w + 35 = 10*w. Calculate the highest common factor of w and 5.
5
Let x(w) = 13*w. Let c be x(7). What is the highest common factor of 13 and c?
13
Let m = -5 - -89. Calculate the greatest common divisor of 12 and m.
12
Let q(n) = n**3 - 18*n**2 + 16*n + 26. Let w be q(17). Calculate the highest common factor of w and 9.
9
Let f be (-1)/(1662/555 - 3). Calculate the greatest common factor of f and 74.
37
Suppose 2*i - 2*s + 50 = 348, s = -5*i + 715. What is the highest common divisor of i and 16?
16
Let w be (75/9 + -1*1)*3. Calculate the greatest common divisor of 2 and w.
2
Let d(m) = -174*m - 3. Let c be d(-3). Suppose -3*s = -3*g + c, -3*g = s - 42 - 457. What is the highest common divisor of g and 21?
21
Let m(u) = -u**3 + 7*u**2 + 13*u - 10. Suppose 2*x - 3*j - 7 = 0, -2*x - x + j + 21 = 0. Let a be m(x). What is the greatest common factor of 6 and a?
6
Let t = -60 + 63. Calculate the greatest common factor of 33 and t.
3
Suppose 0 = -d + 14 - 4. Suppose -t = a - d, -66 = -5*a - 0*t + 3*t. Calculate the greatest common divisor of 132 and a.
12
Let a(g) = 4*g + 3. Let t be a(4). Suppose 0 = p - t - 11. Let m = 1 + 11. Calculate the highest common factor of m and p.
6
Suppose -4 = -4*j - 24. Let w(s) = -s**2 - 4*s - 1. Let u be w(j). Let d be 32/u*(2 - 5). What is the greatest common divisor of d and 2?
2
Let y be 2/4 - 5/2. Let f be y/5 + 272/(-20). Let u be 144/14 + 4/f. Calculate the highest common factor of 5 and u.
5
Let m(t) = 2*t + 88. Let v be m(-11). What is the greatest common factor of 594 and v?
66
Suppose 4*l - 1 = 19. Suppose -4*d - l*a = -3*d - 22, 0 = 5*a - 5. Calculate the highest common divisor of d and 17.
17
Let m(l) = -l - 1. Let v(i) = 4*i. Let h