 1. Let k = 35 - b. What is the highest common factor of z and k?
3
Let g be (40/(-28) - 2)*-7. Suppose 3*m + c - 14 = g, 5*m + 2*c = 64. Calculate the highest common divisor of 6 and m.
6
Suppose -v = -4*h + 2 + 5, 5*v + 3*h - 34 = 0. Let y be (-1)/(v/4)*20. Let n = 20 - y. What is the greatest common divisor of n and 24?
12
Let n(b) = -b**3 + b**2 - b + 8. Suppose 0 = 3*x - 5*x. Let r be n(x). Suppose -3*k + r + 16 = 0. Calculate the greatest common divisor of 40 and k.
8
Let d = -31 - -81. Calculate the highest common divisor of 400 and d.
50
Let s be (33/(-22))/(3/(-44)). Let u(c) = 2*c**2 + 3*c + 2. Let a be u(-3). What is the highest common divisor of s and a?
11
Let u(v) = v**2 + 9. Let a be u(0). Suppose -76*k = -75*k - 9. Calculate the highest common divisor of a and k.
9
Let v be 1 - (-5 + -1 + -1). Suppose -n - 2*n - 2 = -q, 4 = 2*q + 3*n. What is the highest common factor of q and v?
2
Suppose -2*v = -14 - 0. Let d be 1836/66 - ((-8)/(-22))/(-2). Calculate the greatest common divisor of d and v.
7
Suppose 0 = 3*b - 14 - 31. Suppose -2*o + 2*j + 6 = 0, b - 1 = 4*o - 3*j. What is the greatest common divisor of 5 and o?
5
Suppose a - 2 = -a. Suppose 0 = -q + a. What is the greatest common factor of 3 and q?
1
Let u(n) = 2*n**3 + 2*n + 9. Let z(r) = r**2 + 1. Let h(m) = u(m) - 5*z(m). Let l be h(4). What is the highest common divisor of l and 24?
12
Suppose -4*j - 3*o + 112 = 0, 5*j + 54 = 5*o + 194. Calculate the highest common divisor of 4 and j.
4
Let f(v) = -3*v + 4. Let y = -4 - 3. Let g be f(y). Let c = g + -15. Calculate the greatest common factor of 110 and c.
10
Let b(g) = -g**2 - 2*g + 8. Let m be b(-4). Suppose m*c = -c + 30. Calculate the greatest common divisor of 75 and c.
15
Let b be ((-1)/(-3))/((-26)/(-312)). What is the greatest common divisor of 36 and b?
4
Let z = 11 + -10. Let j be 14 - (z + -1)/(-3). Calculate the highest common divisor of 112 and j.
14
Suppose 3*d = 10 + 71. Let k be (-15)/2*(-108)/45. What is the highest common factor of d and k?
9
Let x(t) = -36*t**3 + t. Let g be x(-1). What is the greatest common factor of g and 5?
5
Suppose 5*d = -2*f + 29, -1 = -f - d + 6. Let r be (f + (-1)/1)/1. What is the greatest common factor of 1 and r?
1
Let m(q) = -q**3 + 3*q**2 + 4*q + 2. Let h be (-2)/((-1)/(-2)*-2). Suppose 15 = -h*j - 3*j. Let k be m(j). What is the highest common factor of 4 and k?
4
Let d(l) = -l - 1. Let j(t) = -240*t - 220. Let c(r) = -440*d(r) + 2*j(r). Let o be c(-4). Calculate the highest common factor of 20 and o.
20
Suppose -5*i = 5*z - 65, -i + 4*z = 2*i - 32. Calculate the highest common factor of 84 and i.
12
Suppose -p = -3*p + 18. What is the greatest common factor of 27 and p?
9
Let j = -9 + 20. What is the greatest common divisor of j and 88?
11
Let l be (-13 + -1)/(13/(-52)). Calculate the highest common divisor of 7 and l.
7
Suppose -25 = -3*a - 2*a + x, 33 = 2*a - 5*x. What is the greatest common factor of 4 and a?
4
Let l(n) = 5*n - 30. Let g be l(10). Calculate the highest common factor of 20 and g.
20
Let s(n) = n + 8. Let x(v) = v + 17. Let o(b) = 9*s(b) - 4*x(b). Let g be o(4). What is the highest common divisor of 36 and g?
12
Let x = 53 + -21. What is the greatest common divisor of x and 48?
16
Suppose 3*k - 1 = -4. Let m = 69 - k. Suppose -2*v + 28 = 3*n, 20 = 4*n + 4*v - 16. Calculate the highest common divisor of n and m.
10
Let j(x) = x**3 - 11*x**2 - 13*x + 16. Let v be j(12). What is the greatest common factor of 8 and v?
4
Suppose 6 = -4*w - 14, -4*w = 2*l - 6. Let d = -3 - -16. Calculate the greatest common divisor of d and l.
13
Let g be (-1)/((-3)/(-2 - -20)). What is the greatest common divisor of g and 54?
6
Let b(u) = 6*u - 25. Let m be b(5). What is the greatest common factor of m and 2?
1
Suppose 0*j - 43 = -3*p - 2*j, 45 = 5*p - 2*j. Suppose 4*g = -4*d + 36, -d + 6 = -g + 3*d. Let q be 199/2 - 3/g. What is the greatest common factor of p and q?
11
Suppose n = -3*l + 8, 0 = -3*l - 3*n - 0*n + 6. Let i be 1*(l/(-1) + 10). Calculate the greatest common divisor of 21 and i.
7
Let x be 3 + (-40)/12 + 14/6. Calculate the greatest common factor of x and 7.
1
Let q be 9/1*5/15. Suppose q*v - 51 = 225. Suppose 0*p - v = -p + 5*f, -76 = -p + f. Calculate the greatest common factor of p and 24.
24
Let j = -134 - -148. Let n(c) = 15*c**2 + 2*c + 1. Let g be n(-1). Calculate the highest common divisor of j and g.
14
Let x(n) = -2*n - 5. Let r be x(-4). Let i = r - -1. Calculate the highest common factor of i and 4.
4
Suppose 0 = 2*o + 3*o - 5. Suppose 0*d = d - o. Suppose -3*g + 13 = d. What is the highest common divisor of 12 and g?
4
Suppose 5 - 1 = 4*y. Let w(v) = -v + 11. Let k be w(12). Let r be (-2)/y + 19 + k. Calculate the highest common divisor of r and 8.
8
Suppose -4*q + 111 = -1. Let x be 332/q - 4/(-28). Calculate the highest common factor of x and 8.
4
Let b(p) = p**2 + 13*p - 3. Let v be b(-16). Calculate the highest common divisor of v and 18.
9
Let t = 32 + 28. Suppose -3*v - u - t = 105, 274 = -5*v - 2*u. Let h = v - -82. What is the highest common factor of h and 39?
13
Suppose -99 = -z + 44. Let c(w) = 2*w**2 - 9*w + 4. Let g be c(6). Let s = g - 9. Calculate the highest common divisor of s and z.
13
Let t be (147/14)/(3/4). What is the greatest common factor of t and 2?
2
Suppose 0 = 5*f + 15, -k - 2*f = -4*k + 765. Suppose 0 = -3*r - 37 + k. What is the highest common factor of 9 and r?
9
Let r(h) = -30*h**3 + 4 - 2*h**2 + 2*h + h + 6*h**2 + 29*h**3. Let l be r(4). Calculate the greatest common factor of 64 and l.
16
Let m(x) = -58*x + 2. Let l be m(-1). What is the highest common divisor of l and 30?
30
Suppose -5*l + 27 = -2*n, 5*l + 12 = -4*n + l. Let m be 187/3 + n/(-9). Suppose 2*i - i - m = 0. What is the highest common factor of 7 and i?
7
Let f(t) = -2*t**3 - 28*t**2 - 2*t - 8. Let j be f(-14). What is the greatest common divisor of j and 20?
20
Suppose 4*g - 40 = -j - 2*j, -4*j - 29 = -g. Let z be 39/2*(-18)/(-3). What is the highest common factor of z and g?
13
Let q(z) = -z + 108. Suppose 5*k + 0*k + 25 = 0. Let i(c) = -c**2 - 4*c + 5. Let p be i(k). Let w be q(p). What is the highest common factor of 12 and w?
12
Let v(s) = s**3 + 6*s**2 - 8*s + 9. Suppose -5*j - 15 = -5*t, 0 = 5*j - 2*t - 0*t + 27. Let i be v(j). What is the highest common divisor of i and 80?
16
Suppose -4*c + 15 = 2*a - 9, -3*a + 63 = -3*c. Calculate the highest common factor of a and 45.
9
Let r = -8 - -2. Let i be (-7 - (-3 - r))*-3. Calculate the greatest common factor of 3 and i.
3
Let h(c) = -c**3 - c**2 - c + 15. Let i be h(0). Calculate the greatest common divisor of 135 and i.
15
Suppose 602 = 2*g + 3*g - 2*u, -5*g + 597 = 3*u. Calculate the highest common factor of g and 24.
24
Let w(u) = 8*u - 1. Let i(m) = -16*m + 2. Let j(g) = 4*i(g) + 9*w(g). Let b be j(1). Calculate the highest common factor of b and 7.
7
Let r(h) = h**2 + 4*h + 6. Let g be r(-6). Let y(w) = -w**2 + 9*w + 37. Let m be y(8). What is the highest common divisor of g and m?
9
Suppose 0 = -4*t + 125 - 61. Calculate the highest common factor of t and 128.
16
Suppose -2*g = 3*c - 45, -5*c + 0*c = 5*g - 105. Calculate the highest common divisor of 24 and g.
6
Let l be (4/12)/(2/24). Let y(g) = -l + 5*g + 2*g**2 + 5*g**2 + 2*g**2 - g**3 + 0*g**3. Let w be y(5). Calculate the greatest common factor of w and 11.
11
Let t(j) = 3*j**2 - 20. Let k be t(6). Calculate the highest common divisor of 8 and k.
8
Suppose -68 = 5*q - q. Let n = -10 - q. What is the highest common divisor of n and 21?
7
Suppose u - 35 = -5*k + 1, 3*u = 4*k + 32. What is the highest common factor of u and 64?
16
Suppose -3*u + 2*v + 3 = -5, -5*u + 45 = 3*v. Calculate the highest common factor of u and 30.
6
Let u = 3 + 8. Suppose 22 = -0*r - r + 5*g, 5*r - 2*g - 5 = 0. Suppose 2*k - v - 210 = 3*v, -288 = -r*k - 3*v. What is the greatest common factor of k and u?
11
Suppose -2*p = -p - 2*l + 2, -3*p = l - 29. What is the greatest common factor of p and 2?
2
Let g(k) = -6*k - 10. Let m be g(-7). Let v = 3 - 15. Let l = 28 + v. Calculate the highest common factor of l and m.
16
Suppose -48 = -f + 87. What is the highest common factor of f and 15?
15
Suppose 5*h = -3 + 18. Let p(j) = -j**2 + 10*j + 11. Let g be p(11). Sup