9.
3
Let s(q) be the second derivative of -q**5/20 + q**4/4 - q**3/3 + 3*q**2/2 + 2*q. Let g be s(2). What is the greatest common divisor of g and 2?
1
Let o = 143 + -243. Let a be (o/(-6))/(4/(-12)). Let s be (-4)/10 - 3870/a. Calculate the highest common divisor of 7 and s.
7
Let x(v) = v**3 + 4*v**2 - 2*v - 1. Let a be -2*3/2 + -1. Let c be x(a). Calculate the greatest common factor of 7 and c.
7
Suppose 4*h - h + 18 = 0. Let f(g) = -g**3 - 4*g**2 + 7*g - 7. Let a be f(h). What is the highest common divisor of 69 and a?
23
Suppose -5*p + x = 1, 4*p + 20 - 8 = -2*x. Let l(r) = -23*r - 1. Let o be l(p). Suppose 0 = 2*i - o - 10. Calculate the greatest common divisor of i and 16.
16
Let t(f) = f + 13. Let q = 16 - 16. Let n be t(q). Calculate the greatest common divisor of 91 and n.
13
Suppose -13 - 29 = -3*x. Let f = x - 10. Calculate the highest common divisor of f and 2.
2
Let y = 30 + -10. Let g(p) = -p**2 + 5*p + 10. Let v be g(7). Let r be (-3 + 2 + v)*-1. Calculate the highest common factor of y and r.
5
Let j(r) = 40*r**2 + 2*r + 2. Let v be j(-1). What is the highest common factor of 64 and v?
8
Let c(v) = -v + 7. Let q(o) = -o**3 - 6*o**2 + 2*o + 1. Let u be q(-6). Let f be c(u). Calculate the highest common factor of f and 198.
18
Suppose -4*c = -106 - 174. What is the highest common factor of 42 and c?
14
Suppose 3*p + 3*n - 203 = -59, 3*p - n - 128 = 0. Calculate the greatest common divisor of 33 and p.
11
Suppose 2*m + 5 - 25 = 0. Let l = 175 + -155. Calculate the greatest common divisor of m and l.
10
Let i(f) = f**3 + 10*f**2 - 12*f - 13. Let b = -22 + 13. Let y be i(b). Let g = -36 - -52. Calculate the greatest common factor of y and g.
16
Let b be (-6)/9 + 510/9. Let n be -2*28/16*-2. Calculate the greatest common divisor of b and n.
7
Let b(j) = 7*j + 7. Let m(d) = 6*d + 6. Let v(s) = 5*b(s) - 6*m(s). Let z be v(-5). Let n = 8 - z. What is the greatest common factor of n and 32?
4
Suppose 0*y + 3 = 3*a - 3*y, -5*a + 2 = -2*y. Suppose a = p + p - 24. What is the highest common factor of p and 36?
12
Let y(d) = -d**3 + 2*d**2 + 4*d. Let p be y(4). Let j = 12 - p. Calculate the highest common factor of 4 and j.
4
Suppose -z + 2*z = -6. Let v be (-2)/3 + (-100)/z. Calculate the greatest common factor of v and 40.
8
Suppose 0 = x - 6*x + 105. Suppose -s + x = 3*u, 3*u - 10 = 5. Let n(p) = p + 1. Let o be n(3). What is the greatest common factor of s and o?
2
Let t = 115 - 82. Let c be (-4)/22 - 357/t. Let n = c - -23. Calculate the greatest common divisor of n and 60.
12
Suppose -2*n = -4*a + 2, -3*n + 3 = 5*a - 5. Let g be n/(-3)*(-585)/5. Let r = 16 - 3. What is the greatest common factor of r and g?
13
Suppose -2*d = -d - 4. Suppose -6*j = -d*j + 26. Let h be (-4 + 1)*(1 + j). What is the highest common factor of h and 54?
18
Suppose 2*a = 4*o - 18, o - 4*o = -15. Let j = 6 - 0. Let n be j/(-45)*6*-10. What is the highest common factor of a and n?
1
Let w(x) = x**3 + x**2 - 2*x - 3. Suppose 3*o - 6*o = -12. Let a be w(o). What is the greatest common factor of a and 23?
23
Let v = -8 + 12. Suppose 0 = v*p - 294 + 30. What is the highest common factor of 22 and p?
22
Let q = -57 + 60. Calculate the greatest common divisor of 12 and q.
3
Suppose 0 = 3*p + 6, -c - 5*p = c. Let a = c + 7. Calculate the greatest common divisor of a and 2.
2
Suppose 0 = -3*j - 5*m + 74, m + 2*m - 66 = -3*j. Calculate the greatest common factor of j and 4.
2
Suppose -6*v = -3*v. Let j = -3 + 5. Suppose -j*z + 7*z - 60 = v. What is the highest common factor of 8 and z?
4
Let r = 7 + 28. Let u(i) = i**2 - 5*i + 7. Let q be u(5). Calculate the greatest common divisor of r and q.
7
Let a(f) = -5*f**3 + 1. Suppose 2*t - 2 = -4. Let b be a(t). Suppose s = -3*s + 168. Calculate the highest common divisor of s and b.
6
Let z = -2 + 14. Calculate the highest common factor of 24 and z.
12
Suppose -5*c + 12 = -3. Let l be c/15 - (-72)/15. Calculate the highest common factor of 50 and l.
5
Suppose 5*b = 4*b + 99. Let u be (7/3 - 1)*3. Suppose -2*c = -5*d + 37, -2*c + u = -c. What is the highest common divisor of d and b?
9
Suppose x - 216 = -3*x + i, -4*x - 3*i = -216. Let k(g) = g**2 - 9*g - 4. Let u be k(11). What is the greatest common factor of x and u?
18
Suppose -5*o - 32 = -5*y + 58, -5*y = 5*o - 130. Suppose 5*h = 23 + y. Calculate the highest common divisor of 81 and h.
9
Suppose 0 = -4*l - 4. Let p(z) = -2*z**3 + z**2. Let c be p(l). Let t = c + -2. Calculate the greatest common divisor of t and 9.
1
Let y = -45 + 205. Calculate the highest common divisor of y and 20.
20
Let b(s) = -s**3 + 11*s**2 + 15*s + 4. Let y be b(12). Calculate the highest common divisor of 5 and y.
5
Suppose 0 = -c + 4*t + 62, 270 = 4*c + 4*t - 9*t. What is the greatest common divisor of c and 175?
35
Let f(a) = -a**2 - 9*a + 41. Let b be f(-10). Calculate the highest common factor of 62 and b.
31
Let f = 179 - 115. Calculate the greatest common factor of 8 and f.
8
Suppose 3*g = g. Let x be (1 - g)*5/5. What is the highest common divisor of x and 2?
1
Let x(j) = 2*j**2 + 4*j - 2. Let c be 4/(-4) - 0 - 5. Let w be x(c). What is the greatest common factor of 23 and w?
23
Suppose 0 = 4*w + 5*f - 60, 0 = 4*w + f + f - 72. Let t be 3/2 - 57/(-6). Let b = 15 - t. Calculate the greatest common divisor of b and w.
4
Suppose -3*h - 4*c + 56 = 0, 0 = -3*h + h + 5*c - 1. Let n(d) = -13*d + 7*d + 2 + 9*d. Let k be n(2). What is the highest common divisor of k and h?
4
Suppose 0 = 2*j - 3*d - 51, d + 98 = 4*j - d. Let w be 1*-3*(-32)/j. What is the greatest common divisor of w and 4?
4
Suppose n + 5*o - 9 = 16, n - 4*o = -20. Let w be 1*(-2 + n + 4). Calculate the greatest common factor of w and 3.
1
Let u be -2*((-6)/(-4))/(-3). Let z(y) = -2*y + 2 + u + 1. Let x be z(-5). Calculate the highest common factor of x and 112.
14
Suppose 15 = 2*c - 5*r - 0, r = 3. Suppose -2*b = -203 - c. Let i = b + -69. Calculate the greatest common factor of 10 and i.
10
Suppose -2*q + 5 = -2*v + q, q = 3*v - 3. Let f = -19 - -21. What is the highest common factor of v and f?
2
Suppose 587 = 4*t + s + 4*s, -5*s + 15 = 0. Let g = -100 + 113. Calculate the greatest common divisor of g and t.
13
Let n(t) = -t + 1. Let p(m) = -17*m**3 + m**2. Let q(d) = n(d) - p(d). Let b be q(1). Suppose 4*i - 20 = b. What is the highest common divisor of 1 and i?
1
Let o be (-22)/(-11) - (1 + 10)*-1. Calculate the greatest common factor of 65 and o.
13
Suppose 7*j - 51 = 4*j. Let d = j - 9. Suppose 0 = -2*l + 3*l - d. What is the highest common factor of 4 and l?
4
Let k(s) = -s**3 + 6*s**2 - s + 2. Let a be k(4). Let p(v) = v**3 - v + 20. Let r be p(0). Calculate the greatest common factor of r and a.
10
Suppose -g + s - 5*s = -10, 0 = -4*g - 4*s + 76. Calculate the greatest common factor of 33 and g.
11
Let m be (-4)/(-12)*(2 - -1). Let r = 2 + 1. Calculate the greatest common divisor of m and r.
1
Let t = -36 + 49. What is the greatest common factor of t and 91?
13
Let w(m) be the second derivative of m**4/12 - m**3/2 + m**2 - m. Let v be w(6). What is the greatest common factor of v and 220?
20
Suppose 18*n - 22*n + 392 = 0. Calculate the highest common divisor of 14 and n.
14
Suppose -5*n + 236 = 3*z, 84 = 5*z - 4*z + 3*n. Suppose -183 = -4*d + 3*r, 6*d + r - 195 = 2*d. Calculate the highest common factor of z and d.
24
Let i(l) = -l. Let n(c) = 17*c**2 + 6*c. Let k(b) = 5*i(b) + n(b). Let t be k(1). Calculate the greatest common divisor of t and 27.
9
Suppose -5*g + 718 = 168. Calculate the highest common divisor of g and 10.
10
Suppose 0 = 7*d - 39 - 45. Calculate the highest common factor of 132 and d.
12
Let n(h) = h**2 + 3. Let w(k) = -1. Let a(d) = n(d) + 6*w(d). Let x be a(4). Calculate the greatest common factor of 117 and x.
13
Let n be -3 + 6 + 210/2. What is the greatest common divisor of 12 and n?
12
Let h = -24 - -36. Let p(z) = -z**3 - 12*z**2 + 22*z + 48. Let c be p(-14). Calculate the highest common divisor of h and c.
12
Let v(b) = 2*b**2 + 4*b + 3. Let n(c) = 8*c**2 + 15*c + 13. Let f(g) = -2*n(g) + 9*v(g). Let p be f(-4). What is the greatest common factor of p and 1?
1
Let j be (-1)/(-2) - (7 + (-110)/4). What is the greatest common factor of 84 and j?
21
Let b = -3 + 8. Suppose -b*k - 9 = -4. Let