and m.
1
Let v(a) = a**3 - 5*a**2 - 2*a + 4. Let t be v(4). Let b(r) = -10*r**2 + r + 2. Let g be b(-2). Let f = t - g. What is the highest common divisor of 10 and f?
10
Suppose -5*h = -2*g - 2, -4*h = 4*g - 12 - 12. Let l(u) = -2 - 7*u + 1 - 2 + 4*u**h. Let f be l(6). What is the highest common factor of f and 11?
11
Let d(y) = y - 1. Let l be d(3). Suppose -5*p + 311 = 4*u, -13 = 3*p + l. What is the greatest common divisor of u and 14?
14
Let i = 49 + -28. Calculate the highest common divisor of 7 and i.
7
Let i = 48 - 29. Calculate the highest common factor of 38 and i.
19
Let g(h) = -18*h - 16. Let c be g(-7). What is the highest common factor of c and 11?
11
Let g be 4*7 + 0/(-1). Suppose -5*h + g = 3. Suppose 2*o + 84 = 4*d, -2*o + 87 = h*d - 0*d. Calculate the highest common divisor of 57 and d.
19
Let g be -3 + 3 + 2 + -1. Let f(y) = 9*y - 1. Let k be f(g). What is the greatest common divisor of 40 and k?
8
Suppose 5*t = -4*n + 102, -50 + 14 = -2*n + 5*t. Calculate the highest common factor of n and 253.
23
Let d(x) = 3*x**2 - 2*x + 3. Suppose -5*q + 6*w = 2*w - 13, 5*w = 15. Let f = q - 2. Let u be d(f). What is the greatest common factor of u and 3?
3
Suppose -5*x - 1 = -26. Suppose 0 = r - 3*q - 16, 2*q = -x*r + 3*q + 24. Let v be ((-18)/r)/(-3)*14. What is the highest common factor of 3 and v?
3
Let z(w) = -w - 1. Let j(o) = -2*o - 7. Let d(h) = j(h) - 3*z(h). Let t be d(5). Let u be (-7)/t*10/(-35). What is the greatest common factor of 3 and u?
1
Let w be ((-450)/(-21))/(2/14). Let h = -5 + 20. What is the highest common factor of w and h?
15
Let u be (628 - 1) + -1 + 2. Suppose 2*t + 2*i + 48 = 376, 4*t - 3*i - u = 0. Suppose 5*v - v - t = 0. What is the highest common divisor of 5 and v?
5
Let w be 4/24 - 70/(-12). Let f be 468/(-24)*(-4)/w. Calculate the greatest common divisor of 143 and f.
13
Suppose 4*t - 6 - 10 = 0. Let j be 54/(-10) + t/10. Let r be (-104)/j + (-2)/(-10). What is the highest common divisor of r and 7?
7
Let s be 6/45 + 177*(-4)/(-90). What is the greatest common factor of s and 12?
4
Let a(w) = -11*w + 114. Let k(d) = -5*d + 57. Let v(y) = -6*a(y) + 13*k(y). Let i be v(0). Let f = 91 - i. What is the greatest common divisor of f and 51?
17
Let p = 12 - -8. Suppose 10 + 0 = r - 5*c, -4*r + 3*c + 23 = 0. What is the highest common factor of r and p?
5
Let s be (-284)/(-20) - (-1)/(-5). Let g be (7 - 2)/(3/21). Calculate the greatest common divisor of g and s.
7
Let n(w) = w**3 - 8*w**2 + 2*w - 11. Let z be n(8). Let f = z - -4. Calculate the highest common factor of f and 9.
9
Let u = -71 - -313. What is the highest common factor of 22 and u?
22
Let p be -6*(12/(-3) - 0). Let x(r) = -2*r - 18. Let h be x(-12). Calculate the greatest common divisor of p and h.
6
Let n(l) = 3*l - 4. Let h be n(4). Let g be (3/(-2))/(6/h). Let a(t) = -t**3 - t**2 - t - 1. Let x be a(g). What is the highest common divisor of x and 15?
5
Let z be (4 - 5)*(1 - -2). Let d(c) = 2*c**2 - 3*c + 1. Let w be d(z). Let n = 13 - -1. What is the highest common factor of w and n?
14
Let a(m) = -m**3 - 3*m**2 + 10*m + 13. Let v(i) = 1. Let n(q) = a(q) - 4*v(q). Let f be n(-7). Calculate the greatest common divisor of f and 15.
15
Let u be ((-2)/(-6))/((-2)/(-30)). Calculate the greatest common factor of u and 25.
5
Suppose -2*y + 7*y - 71 = -x, 4*x = 3*y - 61. Calculate the greatest common divisor of 105 and y.
15
Let d be -2 + (-3 - -2) + -3. Let w(c) = -c - 1. Let j be w(d). Suppose y + 71 + 46 = 3*a, 197 = 5*a - y. Calculate the highest common divisor of j and a.
5
Let z be (-1)/(-3) - (2288/6)/(-8). What is the highest common divisor of z and 16?
16
Let m be (10/(-6))/((-1)/24). What is the highest common divisor of m and 100?
20
Let c be (1 + 2/(-4))*-22. Let x = 17 + c. Calculate the highest common factor of x and 15.
3
Suppose -3*m + 44 = -m. Let k be (m/(-5))/(1/(-25)). Suppose -3*t + k + 55 = 0. What is the greatest common divisor of 22 and t?
11
Let h(n) = 1 + 4*n**2 + 2*n + n - 2*n + 16*n**2. Let w be (0/1 - -1) + -2. Let r be h(w). What is the greatest common factor of r and 4?
4
Suppose -4*j = i - 31, 2*j + i - 5*i = 2. Calculate the greatest common factor of 133 and j.
7
Suppose -r = -13 - 17. What is the greatest common factor of r and 3?
3
Let q(u) = -u**3 + 22*u**2 + 32. Let y be q(22). Suppose 3*j + 172 = 2*b, -3*b + 248 = -3*j + j. What is the greatest common divisor of y and b?
16
Let m(y) = y**3 - 10*y**2 + 9*y + 8. Let d be m(9). Suppose 2*x - 125 = -5*o, -3*o + d*o = -15. What is the greatest common divisor of 10 and x?
10
Let b be -2 + 4 - -59 - (2 - 1). What is the greatest common factor of 60 and b?
60
Let s(v) = -v**2 - 8*v + 1. Let p be s(-7). Let i be (-320)/(-30)*(1 - (0 + -2)). What is the greatest common divisor of p and i?
8
Let r = 5 - 3. Let h(j) = 2*j**2 + j - 1. Let x be h(r). Let b(s) = 66*s - 3. Let g be b(1). What is the greatest common divisor of x and g?
9
Suppose 4*c + 7 - 79 = 0. What is the highest common factor of c and 18?
18
Let r be 477/5 + (-12)/(-20). What is the highest common factor of 12 and r?
12
Let p = 887 - 455. What is the highest common divisor of p and 54?
54
Suppose -4*u - 4*k - 6 = -22, -4*u + 2*k = -34. Let x = 10 - u. Let a be x/6*(2 - -118). What is the greatest common factor of a and 12?
12
Let w be (14/(-10))/((-2)/10). Let l = w + -6. Calculate the greatest common divisor of l and 1.
1
Let r(z) be the first derivative of z**4 - 4*z**3/3 + 2*z**2 - 3*z - 3. Let l be r(2). What is the greatest common divisor of l and 189?
21
Let p be (-770)/(-20)*(-16)/(-28). Let y be (14/(-8))/(1/(-16)). Suppose -38 = -2*i + y. Calculate the highest common divisor of i and p.
11
Suppose n - 6*n + 10 = 0. Let u = 11 - n. Let f be ((-6)/1)/((-2)/33). Calculate the highest common factor of f and u.
9
Suppose 3*f + 133 = -5*z + 682, 4*f - 12 = 0. What is the greatest common divisor of 12 and z?
12
Suppose -3*l = l - 120. Suppose -4*w = w - l. What is the greatest common divisor of w and 3?
3
Suppose -r = -y - 377, 3 = -y - 0*y. What is the greatest common factor of 34 and r?
34
Let a be 1 + 1 + -1 + 1. Suppose -40 = -a*s - 2*s. Calculate the greatest common divisor of s and 10.
10
Suppose -3*j = -2*j - 2. Let k be 12/(3/(12/8)). Suppose -k*w + 480 = -j*w. Calculate the highest common divisor of 15 and w.
15
Let i be ((-3)/((-72)/(-112)))/(2/(-3)). Calculate the highest common factor of 77 and i.
7
Suppose 3*d + 12 = 336. What is the highest common factor of d and 12?
12
Let x(v) = v**2 - 2*v + 9. Let k be x(0). Calculate the highest common factor of k and 45.
9
Suppose 5*k + k = 72. Suppose -120 = -4*x - x. Calculate the greatest common divisor of x and k.
12
Let r(v) = -v**3 + 9*v**2 - 9*v + 30. Let p be r(6). What is the highest common divisor of p and 12?
12
Let f be (-11)/(-2)*(-4 + 2). Let t = f - -18. Suppose -4*q + 22 = 2*y, -5*y + 4*q + 115 = 2*q. Calculate the greatest common factor of t and y.
7
Let o be 12/(-9)*3/(-2). Let u be o/(-1)*-2*1. Let t be 31 - (-2 - -1)*(0 + 1). What is the greatest common divisor of u and t?
4
Suppose 20 = -11*k + 13*k. Calculate the greatest common divisor of 10 and k.
10
Suppose -h - 1 = 3. Let x be 4/(h/(-3)) + 4. Let w be (-2)/(-7) - (-878)/14. What is the highest common factor of w and x?
7
Let u(l) = l**3 - l + 7. Let b be u(0). Suppose 0*t + 30 = -3*t. Let o be (12/t)/((-6)/280). What is the greatest common factor of b and o?
7
Let z = 8 + -1. Let k(c) = c**3 - 5*c**2 - 11*c + 6. Let m be k(z). What is the highest common divisor of 18 and m?
9
Let w = -31 + 44. Let x(u) = 3*u**2 + 6*u + 4. Suppose -2*v - 2*o - 16 = 0, o = -4*v + 3*o - 2. Let q be x(v). Calculate the highest common divisor of w and q.
13
Let u = -96 - -224. Let t(y) = 17*y**3 - y**2 - 2*y + 2. Let o be t(1). Calculate the highest common factor of u and o.
16
Suppose -331 = -5*t + 44. Let w = -29 + t. Calculate the greatest common factor of w and 69.
23
Suppose -3*s + 3 - 120 = 0. Let k = 123 - s. Calculate the greatest common factor of k and 18.
18
Let i = 19 + 36. What is the highest common divisor of 5 and i?
5
Let a be (-655)/6 + 6/36. Let d = -74 - a. What is the highest common divisor of 5 and d?
5
Let f(y) = y**2 + 2*y - 1. Let s = -6 - -3. Let q be f(s). Calculate the 