
10
Suppose -5*p = -4*f - 78 - 34, -4*p + f + 83 = 0. What is the highest common divisor of 70 and p?
10
Suppose 0*z = -5*z + 2*i + 28, 0 = -z + 5*i + 24. Suppose 40 = -z*a + 128. Let j = -6 + 39. What is the greatest common divisor of j and a?
11
Let w(o) = -o + 28*o**2 - 1 + 71*o**2 + 0. Let l be w(-1). Calculate the highest common factor of l and 11.
11
Let z be 8/12 + 50/6. Let r be ((-18)/7)/(6/28). Let n(w) = -w - 6. Let a be n(r). What is the greatest common divisor of a and z?
3
Let q(c) = -c - 1. Let j(s) = 6*s + 6. Let d(z) = -j(z) + 4*q(z). Let b be d(-12). Suppose -2*h - b = -7*h. What is the highest common factor of h and 33?
11
Let i be (-2 - 0)/(6/(-30)). Calculate the highest common divisor of 80 and i.
10
Let g(c) = -276*c - 25. Let x be g(-3). What is the highest common factor of 73 and x?
73
Let m be 4 + (-4 - (-4 + 2)). Let r = 8 - m. Calculate the greatest common factor of 9 and r.
3
Let t(n) = -4*n**2 + 3*n - 3. Let s be t(2). Let o = 18 + s. Suppose -10*b = -6*b - 60. Calculate the highest common factor of b and o.
5
Suppose c - r = 2*r + 74, 2*c - 175 = -3*r. Suppose -8 + c = 3*u. Calculate the greatest common divisor of 100 and u.
25
Suppose -5*d + 38 - 8 = -5*x, -d + 3*x + 8 = 0. What is the highest common factor of d and 45?
5
Let i be 1 + -2 + (1 - 0). Let b be -1 - i/(-3) - -7. What is the highest common factor of b and 2?
2
Suppose -53 = -5*d + 3*t, 4*d + 4*t + 49 = 9*d. Let g be 2 + (-1)/((-1)/d). Let f be (-63)/(-12) - 1/4. Calculate the highest common divisor of g and f.
5
Suppose -14 = -g + 40. Let d(o) = 25*o**3 + o. Let c be d(-1). Let b = c + 44. What is the highest common factor of b and g?
18
Let o(x) = x**3 + 3*x**2 + 2. Let i be o(-3). What is the greatest common factor of i and 46?
2
Suppose 0 = -0*x - 2*x - 2. Let k(a) = 9*a**2 - 2*a - 1. Let d be k(x). Suppose 11 = -3*l + 71. Calculate the highest common divisor of l and d.
10
Let o(w) = -8*w**2 - 21*w - 9. Let h(y) = 7*y**2 + 20*y + 9. Let m(j) = -7*h(j) - 6*o(j). Let p be m(-11). What is the greatest common factor of p and 36?
12
Let c be (1/(-3))/((-3)/90). Let q(x) = -x**2 + 12*x - 6. Let n be q(c). Calculate the highest common divisor of n and 21.
7
Let a = 5 + -3. Let x be a - (0 + 1)/1. What is the greatest common factor of 2 and x?
1
Suppose -28 = -4*s + 44. Suppose s = 2*n + n. Calculate the highest common factor of n and 48.
6
Suppose 3*x - 25 = -2*x. Suppose 0*v + 31 = x*v + 3*b, v + 3*b - 11 = 0. Let y = 82 - 47. What is the greatest common divisor of y and v?
5
Let w(h) = 3*h - 6*h + 2*h - 2. Let v be w(-3). Let b be 14*2/4*v. Calculate the greatest common factor of b and 7.
7
Suppose 0 = -69*c + 67*c + 8. Let h(w) = -4 - 2*w - w + 6*w**2 + 6 - w**3. Let d be h(c). Calculate the greatest common factor of 2 and d.
2
Let u(y) = -66*y**3 - 2*y**2 - 2*y - 1. Let l be u(-1). Let z be 8/6 - 8/(-12). Let f be z - (-2 + 1)*11. What is the highest common divisor of f and l?
13
Let h(a) be the first derivative of -4/3*a**3 - 6*a + 1/2*a**2 - 1/4*a**4 - 1. Let g be h(-6). What is the highest common divisor of g and 10?
10
Let x(u) = -u + 37. Let l be x(-19). What is the greatest common factor of l and 14?
14
Let q(z) = -z**2 + 9*z - 10. Let d = 25 + -18. Let w be q(d). What is the highest common factor of w and 10?
2
Let u = 19 + 28. Let c = -30 - -10. Let v = u + c. What is the greatest common divisor of 9 and v?
9
Let k be 6*3/6 - 0. Suppose k*z + 2 = 5. Calculate the greatest common divisor of 4 and z.
1
Suppose 0*p + 28 = 4*p. Let s(q) = q**2 + 6*q. Let t be s(-7). Calculate the highest common factor of t and p.
7
Let h(w) = w**2 - 11*w - 6. Let g be h(13). Calculate the greatest common factor of g and 15.
5
Suppose -2*k + 10 = 3*k. What is the highest common factor of 3 and k?
1
Let w be (-10)/(-6) - (-2)/6. Suppose s = w*s - 2. Let i be (52 - 0/3)*s. Calculate the greatest common factor of i and 13.
13
Suppose -y + 3*u = -2*y + 26, -3*y + 22 = -5*u. Suppose 0 = 4*f - 5*f + 7. Calculate the highest common factor of f and y.
7
Let v(o) = o**2 - o - 1. Suppose -u + 4*w + 5 = 0, 3*w - 3 = -u + 6*w. Let y be v(u). Let f = 4 + 7. Calculate the highest common divisor of f and y.
11
Let t = -2 + 46. Let h be ((-16)/(-40))/((-1)/(-10)). Calculate the highest common divisor of t and h.
4
Let o be 18/15*5 - 3. Calculate the highest common factor of 6 and o.
3
Let t(n) = -249*n + 3. Let d be t(-1). Calculate the greatest common factor of 28 and d.
28
Suppose -4*w = 2*y - 20, 3*w + 0*y - 3*y - 33 = 0. Let g be (-2)/(-5) - (-1116)/10. Let o = -56 + g. Calculate the highest common factor of o and w.
7
Let r(p) = p + 7. Let a be r(-5). Suppose -3*q = 2*q + 5*m - 80, a*q = 4*m + 44. What is the greatest common divisor of q and 2?
2
Let r be (0 - -1)/((-2)/6). Let c be -2 + 0/r - 22. Let x be c/(-14)*21/3. Calculate the highest common divisor of x and 36.
12
Suppose -12*f - 2106 = -30*f. Calculate the greatest common factor of 18 and f.
9
Let d be (-5)/((-10)/(-4)) + 4. Let p = d - 17. Let s = 18 - p. What is the highest common divisor of s and 3?
3
Suppose -3*y - 10 = -25. Calculate the highest common factor of 25 and y.
5
Let b be (-8)/(-20) - 1359/(-15). Calculate the greatest common divisor of 26 and b.
13
Let s(x) = -x**3 - 13*x**2 - 21*x + 17. Let d be s(-11). Calculate the highest common divisor of 24 and d.
6
Let w(g) = 7*g**3 + 21*g**2 + 5. Let j(f) = 11*f**3 + 32*f**2 + 8. Let p(m) = -5*j(m) + 8*w(m). Let z be p(-6). What is the greatest common divisor of z and 12?
12
Let c be (-4)/(-2) - (-1 + -177). Suppose x - c = -4*x. Let y = x - 19. Calculate the highest common divisor of 119 and y.
17
Let k be 73/2 + (-12)/8. Suppose 9 + 3 = 4*f. Suppose -2*z = 3*u - 6*u - 7, 17 = f*z + 2*u. What is the greatest common divisor of k and z?
5
Let h be (4/7)/(4/14). Suppose -5*l + h*p + 844 = 0, l = 4*p + 116 + 60. What is the highest common divisor of l and 21?
21
Let i be -1 + (45 - -1) + -1. Let k = 195 + -129. Calculate the highest common divisor of k and i.
22
Suppose -3*r - 8 = 7. Let c be (-1)/2*(r - 9). What is the highest common divisor of c and 28?
7
Suppose 4*p + p - 25 = 0. Suppose -p = l, 5*l + 9 = -4*g - 4. Calculate the greatest common divisor of 27 and g.
3
Let d = -486 - -684. What is the highest common divisor of 18 and d?
18
Let v be 12 - (-3 + 3)/5. What is the greatest common divisor of 84 and v?
12
Let a be 11 + 1*(-1 + -1). Let p(v) = v + 36. Let q be p(0). What is the highest common divisor of a and q?
9
Let b = 48 - 33. Suppose -b = -3*q + 3*w, -4 = -4*w + 4. What is the highest common divisor of 77 and q?
7
Let c = 169 + -99. Suppose 35 = 3*a - 175. Suppose 0*v - 5*v = -a. Calculate the greatest common factor of c and v.
14
Suppose 2*v + 3*v - 10 = 0. Calculate the highest common factor of v and 6.
2
Let a(w) = -w**2 + w - 3. Let o be a(4). Let y = 18 - o. Let u = -3 + 14. Calculate the greatest common factor of u and y.
11
Suppose 0 = -2*w - 0*w + 348. Suppose t - 4*t = -w. Suppose -t + 10 = -4*z. Calculate the highest common divisor of z and 8.
4
Let x be 82/8 + 7/(-28). Calculate the highest common factor of x and 5.
5
Let o(p) = -5*p - 3. Let n be o(-3). Suppose -5*i - 52 = -i. Let q = n - i. What is the greatest common divisor of q and 5?
5
Let g = 0 + 3. Let u(c) = -c + c**3 + 2 + 0*c**2 + g*c**2 + 0*c**2. Let m be u(-2). Calculate the highest common factor of m and 24.
8
Let n = 23 + -6. Let p = -14 + 48. What is the greatest common divisor of n and p?
17
Suppose -14*t = -28*t + 308. Let d be (2 + -2 - 1)*-33. Calculate the greatest common divisor of d and t.
11
Suppose -2 - 6 = -4*c. Calculate the greatest common divisor of 8 and c.
2
Let k(s) = -2*s + 5*s**2 + 2*s**2 - s**2 + s. Let r be k(2). Suppose 0*z = -2*z + u + 18, -2*u + 8 = 0. What is the highest common divisor of r and z?
11
Suppose 2*w + 2 = 10. Suppose 2*h - 12 = -w. Let f be 0 + -2*(-16)/1. What is the greatest common factor of h and f?
4
Let v be 38/5 + 4/10. What is the highest common factor of 24 and v?
8
Let c(a) = 8*a**3 - 3*a**2 + 3. Let l be c(2). What is the greatest common factor of 5 and l?
5
Let x(w) = w**3 - 2*w**2 - 4*w + 3. Let j be x(2). Let m(y) = -3*y**2 - y. Let o be m(j). Let u = 147 + o. What is the greatest common divisor of 11 and u?
11
Su