t n(p) be the first derivative of p**3/3 + 9*p**2/2 + 6*p + 5. Let q be n(-9). Calculate the highest common divisor of q and 12.
6
Suppose f + 1 = 3*r - 0, 4*r - 4 = 0. Suppose 2*s + f*s = 8, 0 = -2*u + 2*s - 4. Suppose 0 = -u*i + i - 16. What is the highest common factor of 112 and i?
16
Suppose -2*v = 3*t - 48, 2*t + 5*v - 27 = 16. What is the highest common factor of t and 7?
7
Suppose -3*x + 2*x + 23 = 5*y, -11 = -5*x + y. Calculate the greatest common factor of x and 15.
3
Suppose 0*i = 3*s + 5*i - 137, 4*i = -4*s + 196. Let p be 1408/242 + (-2)/(-11). Calculate the highest common divisor of s and p.
6
Let v = 6 - 11. Let z = 8 + v. Suppose -z*l + l = -70. What is the highest common divisor of l and 5?
5
Suppose -3*l + 37 - 10 = -p, l + 4*p = 9. Let m(i) = 8*i + 7. Let r be m(7). Calculate the highest common divisor of l and r.
9
Let d = 76 - 40. What is the greatest common divisor of 9 and d?
9
Let g be (-75)/(-3)*4/20. What is the highest common divisor of 15 and g?
5
Let u = 12 - 16. Let r be (-38)/u + (-1)/(-2). Calculate the greatest common divisor of 80 and r.
10
Let w = -4 + 9. What is the greatest common factor of w and 15?
5
Let g(q) = -20*q + 1. Let x be g(1). Let n = -34 - x. Let m be (1/(-3))/1*n. What is the highest common divisor of m and 55?
5
Suppose 2*q = 3*q - 30. What is the greatest common divisor of 75 and q?
15
Suppose 4*c + u = 3*c + 17, 73 = 4*c + 5*u. Let s = -15 + 63. Calculate the highest common divisor of s and c.
12
Let y(m) = 6*m**3 - 2*m**2 - 4*m. Let g be y(3). Suppose -4*v = 4*s - 68, -4*s = -4*v - 0*s + 28. Calculate the greatest common factor of g and v.
12
Suppose 0 = -5*q + 2*q - 5*v + 41, -40 = -2*q + 3*v. Calculate the highest common divisor of 51 and q.
17
Let s be ((-15)/(-20))/3 - (-358)/8. What is the highest common factor of 315 and s?
45
Let x(j) = 2*j**2 + 3*j - 2. Let s be x(-3). Let o(t) = t**3 - 5*t**2 - 5*t. Let q be o(s). Calculate the greatest common divisor of 7 and q.
7
Suppose 2*a - 4 = -2. Let k = a + 3. Let t(n) = n**2 + n + 4. Let m be t(0). Calculate the highest common factor of m and k.
4
Let t = 3 + -1. Suppose o + 0 - t = 0. What is the greatest common factor of 22 and o?
2
Let w = -185 + 189. Let h = 9 - 14. Let f = 29 + h. Calculate the highest common factor of w and f.
4
Let z be (-1)/((-9)/(-312))*-3. What is the highest common divisor of z and 13?
13
Let n(x) = 3*x**2 - 2*x - 12. Let g be n(7). Let b = 9 - -2. Calculate the greatest common factor of b and g.
11
Suppose -5*m + 0 + 5 = 0. Calculate the highest common divisor of m and 3.
1
Let k = 102 - 59. Let a be (45/6)/(2/4). Let g = k - a. Calculate the highest common factor of 7 and g.
7
Let n(v) = v**2 - 5. Let b be n(-4). Let c be ((-2)/(-5))/(1/5). Suppose -2*a + c = -0. What is the greatest common factor of b and a?
1
Let b = -122 - -191. What is the greatest common divisor of 46 and b?
23
Suppose 141 - 420 = -9*h. Calculate the greatest common factor of 124 and h.
31
Let f(t) = -t**2 + 7*t + 1. Let n be 2/(6/15)*1. Let o be f(n). Calculate the greatest common divisor of 22 and o.
11
Suppose 0 = -2*y + 23 - 7. What is the highest common divisor of 8 and y?
8
Let t be (-2)/2 + (16 - 3). Suppose 3*b + b - t = 0. Suppose b*d = 2*z + 43, d = 4*d + 4*z - 67. Calculate the highest common factor of d and 17.
17
Suppose -152 = -6*h + 2*h. Let a = -234 - -105. Let m = a - -224. What is the highest common divisor of h and m?
19
Let i(u) = -u**3 - 5*u**2 + 5*u - 2. Let v be i(-6). Suppose -5*o = -2*y + 33, v*y - o = -0*o + 57. Calculate the greatest common factor of y and 35.
7
Suppose 0 = -2*z + p + 5 + 10, 4*z + 5 = -5*p. Let k(i) = -i - 3. Let j be ((-32)/20)/(3/15). Let n be k(j). What is the highest common divisor of z and n?
5
Let z(d) = 17*d + 13*d + 27*d - 5 + 4. Let v be z(1). What is the highest common factor of 8 and v?
8
Suppose -5*s = 2*u + 3 + 12, s + 3 = -u. Suppose k - 1 - 1 = u. Suppose 0 = -o - k*o + 117. Calculate the highest common factor of 26 and o.
13
Suppose 2*c + 12 = 4*c. Let y be (-2 - -10)/(c/105). Calculate the greatest common factor of y and 20.
20
Let u(j) = j - 1. Suppose -7 + 2 = -p. Let y be u(p). Let g = 144 - 134. Calculate the greatest common divisor of y and g.
2
Let a(y) = -6*y + 2. Let w be a(-11). Let l(b) = 16*b**2 - b. Let u be l(-1). Calculate the greatest common divisor of u and w.
17
Suppose -4*m + 2*m + 140 = 0. Let z(n) = -27*n**3 - 2*n - 1. Let d be z(-1). Calculate the greatest common factor of m and d.
14
Suppose 3*v - b + 352 = 0, -5*v - 2*b - 590 = -3*b. Let z = v + 169. Let j(r) = -r**2 + 9*r. Let o be j(5). Calculate the greatest common factor of z and o.
10
Suppose -4*m + 9 + 431 = 0. Calculate the highest common divisor of 22 and m.
22
Suppose -5*c + 0*b = 2*b - 815, 5*b = -25. Let p(l) = -9*l - 3. Let z be p(-2). Calculate the highest common divisor of c and z.
15
Suppose -2*f = w + 2*f + 17, -1 = -2*w - f. Suppose -i = -w*i + 24. What is the greatest common divisor of 36 and i?
12
Suppose -3*h + 444 = -4*o - 0*o, -o = -2*h + 291. What is the greatest common factor of h and 18?
18
Let a be (-5)/(2*1/(-48)). What is the highest common factor of a and 15?
15
Let g(h) = h**2 + 3. Let n be g(0). Suppose 2 - 38 = -n*z. What is the greatest common divisor of z and 108?
12
Suppose 5*u - 4*a = u + 856, 426 = 2*u - a. Let h = u - 113. What is the greatest common factor of h and 11?
11
Let t = 13 - 10. Suppose -6*v + 3 = -t*v. Calculate the highest common divisor of v and 3.
1
Suppose -2*s = -2*z - 20, -2*s = -3*s + 3*z + 14. What is the greatest common divisor of s and 2?
2
Let h be (990/8)/((-6)/(-16)). What is the highest common factor of h and 30?
30
Suppose 0*b - b = -91. Let n(i) = i**2 + 4*i. Let d be n(-4). Let y be (2 - 3) + (14 - d). Calculate the highest common factor of b and y.
13
Let d = -3 + 5. Let s be (-2)/(d/(-5 - 1)). Calculate the greatest common divisor of s and 66.
6
Let a = 550 + -258. Suppose -a = -5*q + 4*c, 142 = 5*q + 3*c - 129. What is the highest common factor of q and 7?
7
Let l(i) = -i**3 + i + 43. Suppose 0 = 6*w - 3*w. Let x be l(w). Let n = 75 - x. What is the highest common factor of 8 and n?
8
Let a = 42 - -22. Let v(q) = -q**3 + 4*q**2 - 1. Let w be v(4). Let h(u) = 7*u**2 + 1. Let k be h(w). What is the greatest common divisor of a and k?
8
Let p = -67 - -97. Calculate the greatest common divisor of 30 and p.
30
Let p(s) = 4*s - 1. Let g be p(2). Suppose 0 = -f + k, -3*f - 2*k + 8 + g = 0. Calculate the highest common factor of f and 33.
3
Suppose -3*q + c + 9 = 3, -q + c + 2 = 0. Let n = 12 - -2. Calculate the highest common factor of n and q.
2
Let x(w) = w + 4. Let s be x(-8). Let v(y) = -y**3 + 4*y**2 - y + 1. Let g be v(s). What is the highest common factor of 19 and g?
19
Let m(w) = -w**2 - w + 18. Let y be m(0). Let j be 3/(-3)*-143 + 2. Let r be j + 1*(3 - 4). What is the greatest common divisor of r and y?
18
Let m = -324 + 526. Suppose -72 = 2*r - m. Suppose 0 = 5*a - a + f - r, -2*f = 5*a - 85. Calculate the greatest common divisor of 120 and a.
15
Let y(t) = -8*t - 21. Let b be y(-7). Let h(k) = 6*k + 1. Let g be h(1). What is the greatest common factor of g and b?
7
Suppose 19*o - 20*o + 8 = 0. What is the greatest common divisor of o and 32?
8
Let r(p) = -p**2 - 23*p - 33. Let f be r(-20). What is the highest common divisor of f and 45?
9
Suppose y - 11 = -0*y + 3*p, -2*p = 2*y - 30. Calculate the greatest common divisor of y and 126.
14
Let q be (-20)/(-6)*(0 + 3). What is the greatest common factor of q and 130?
10
Let q(y) = y**3 - 4*y**2 - 2*y - 4. Let p be q(5). Let j(s) = 98*s**2 + s. Let x be j(1). Calculate the greatest common factor of p and x.
11
Let y = -17 + 8. Let d(k) = -k**3 - 9*k**2 + 2. Let a be d(y). What is the highest common divisor of a and 22?
2
Let m be (-2)/(-8) + (-2168)/(-32). What is the greatest common factor of m and 102?
34
Let t(n) = 4*n**3 + 2*n**2 - 1. Let j be t(3). Suppose -r + 19 + 6 = 0. Calculate the highest common divisor of j and r.
25
Let v(c) = -c**3 - 7*c**2 - 7*c - 4. Let p be v(-6). Suppose -p*z + 44 + 76 = -4*k, -z - 5*k + 81 = 0. What is the greatest common factor of 11 and z?
11
Let h = 16 + 4. Suppose 0 = -5*u - 3*x + 141, 3*u + 0*u + 3*x - 81 = 0. Calculate the highest commo