. Let r(h) = -h**3 + 4*h**2 - h. Let i be r(2). Calculate the greatest common divisor of i and j.
6
Suppose -2*x + 282 - 26 = 0. Suppose -x = -2*a - 2*a. Let w(d) = 4*d + 28. Let b be w(-6). What is the greatest common divisor of b and a?
4
Let k = 2 + 2. Suppose x - 6 = h, -4*x - x = -4*h - 34. Calculate the highest common factor of k and x.
2
Let i = 136 + 14. Let k = -12 + 21. Suppose 0 = k*f - 7*f - i. What is the highest common divisor of 30 and f?
15
Let j = -340 + 505. Calculate the greatest common divisor of 15 and j.
15
Let r(m) = 7*m - 5. Let k be r(3). Let h be (-2 - (-2 + 1)) + k. What is the highest common factor of 75 and h?
15
Let m(o) = -62*o**2 - o. Let x be m(1). Let k be (4/(-6))/(6/x). What is the greatest common factor of k and 63?
7
Let h be (10/(-3))/((-2)/12). Let j = -9 + h. What is the greatest common factor of j and 11?
11
Let n be 3/(-15) + 1086/30. Calculate the greatest common divisor of n and 54.
18
Suppose 6 + 10 = 2*f. Calculate the highest common factor of 20 and f.
4
Suppose -c + 2*c = 0. Suppose c = f - 1 - 4. Suppose 5*j - 105 = -f*h, 0 = 2*h + j + 2*j - 47. What is the highest common factor of h and 64?
16
Let y(h) = -2*h + 1. Let v be y(-1). Suppose v = -o + 39. What is the greatest common factor of o and 18?
18
Suppose 3*o - 3*d + 12 = 60, -5*d - 32 = -o. Let q = o - 1. Suppose 7*r - 4*m - 17 = 4*r, r + 2*m - 19 = 0. Calculate the greatest common factor of r and q.
11
Let j(v) = -v**2 + 175. Let m be j(0). What is the greatest common divisor of m and 25?
25
Let s = 6 + 19. Calculate the greatest common factor of s and 10.
5
Let u be (60/(-9))/((-7)/42). Suppose -4*f = 0, 6*f - 2*f = x - u. What is the highest common divisor of x and 10?
10
Let o(i) = -i**2 - 7*i - 2. Let p be o(-5). Suppose 4*a - p = 232. Suppose -6 - 42 = -2*l. Calculate the highest common divisor of a and l.
12
Let s be ((-16)/2)/(2*-1). Suppose -s*x - i - 3*i + 48 = 0, 3*i = -5*x + 60. Let f = -88 + 184. Calculate the highest common divisor of f and x.
12
Let v be ((-34)/6)/((-1)/3). Calculate the highest common divisor of v and 68.
17
Let b be 4616/28 - 3/(-21). Calculate the greatest common factor of 15 and b.
15
Suppose 53 - 18 = 4*g - d, 2*g + 5*d - 23 = 0. Calculate the highest common factor of 9 and g.
9
Suppose 5*r + 5 = -0. Suppose 2 - 1 = -b. Let f be (r - 44)*(-2 - b). Calculate the greatest common factor of 9 and f.
9
Let s = -4 - -13. Let g(k) = -k**3 + 4*k**2 + 7*k - 1. Let u be (6/(-4))/((-6)/20). Let i be g(u). What is the greatest common divisor of i and s?
9
Let y = 1 + -1. Suppose 5*x = -y*x + 120. Calculate the greatest common divisor of x and 8.
8
Let j = 7 + -3. Suppose -2*h + 1 = 5*v - h, j*v - 2*h = 12. Calculate the highest common factor of v and 3.
1
Let l be (1 - 2 - -3)/1. Let t be (-132)/(-3*1/l). Suppose -3*o - 1 = -2*z, -11 = -2*z + 2*o - o. Calculate the highest common divisor of z and t.
8
Let w(n) = 2*n**3 + 2*n**2 - 2*n + 4. Let l be w(3). Calculate the highest common divisor of 10 and l.
10
Suppose -4*d + 31 = -1. Suppose 5*v + 10 = 4*o, -v = -2*o + 4*o - 12. Let f = d - v. What is the highest common factor of f and 6?
6
Let m(v) = 2*v + 20 - 3*v - 1 + 0*v. Let w be m(10). Calculate the highest common factor of w and 9.
9
Suppose -25*p + 84 = -11*p. Calculate the greatest common factor of 66 and p.
6
Suppose -5*h + 58 = 4*n - 1, -50 = -5*h + 5*n. What is the greatest common factor of 77 and h?
11
Suppose -8*j - 176 = -10*j. Calculate the highest common divisor of 11 and j.
11
Let z = -45 - -46. Calculate the greatest common divisor of z and 17.
1
Let c be 24/(-10) - (-2)/5. Let a = c + 4. Suppose -4*f = f - 5*k - 340, -3*k + 156 = a*f. Calculate the greatest common factor of 8 and f.
8
Suppose h + 126 = 7*h. Let s(m) = -m**3 - 4*m**2 + 4*m + 6. Let j be s(-4). Let g be (3/(-5))/(2/j). Calculate the greatest common factor of h and g.
3
Let z = -1 - -1. Suppose z = 3*j - 0*j. Suppose j*m = -3*m + 36. What is the highest common divisor of m and 3?
3
Let g(y) = 2*y**2 + 8*y + 7. Let c be g(-5). Calculate the greatest common divisor of 187 and c.
17
Let t(q) = -q**3 + 4*q**2 + q + 2. Let l be t(3). Let r = -42 + 63. Calculate the highest common factor of l and r.
7
Suppose -5*z - 5*f + 658 + 162 = 0, -4*z = -2*f - 680. Calculate the greatest common factor of z and 21.
21
Suppose 56*y = 58*y - 264. Calculate the greatest common divisor of y and 12.
12
Suppose -4*o + 1 + 15 = 0. Let g be o/6 - 333/(-27). Calculate the highest common factor of g and 13.
13
Suppose 4 = j - 1. Suppose 0 = o + o - j*f - 272, -5*o + 680 = 3*f. What is the greatest common divisor of 17 and o?
17
Let a = -48 + 62. Calculate the greatest common divisor of 21 and a.
7
Let o = 69 - 53. Calculate the greatest common divisor of o and 16.
16
Let l(f) = 2*f**3 + f - 3 + 32*f**2 + 4*f**3 + 0*f - 31*f**2. Let t be l(3). Calculate the highest common factor of 19 and t.
19
Suppose 16 = h - 0*v + 3*v, -2*h + 4*v = 8. Let d = -1 + h. Suppose 2*o = 3*w + 43, 3*o - d*w - 94 = -2*o. Calculate the highest common factor of o and 34.
17
Let o = 281 - 139. Suppose -o = -6*f + 98. What is the highest common factor of f and 20?
20
Let s(x) = x**2 - 15*x + 28. Let t be s(13). Calculate the greatest common divisor of t and 34.
2
Let u = -2 - -1. Let s be (-11 + u)*(-3)/6. Suppose 2*g = 16 + 32. What is the highest common divisor of s and g?
6
Let o be (-156)/(-16) - (-2)/8. What is the highest common divisor of 80 and o?
10
Suppose -5*v = -2*v - 54. Calculate the highest common factor of v and 126.
18
Let i(t) = t - 1. Let f(x) = -x**2 + 2*x + 3. Let n(q) = -f(q) - i(q). Let l be n(-4). Calculate the greatest common divisor of l and 13.
13
Suppose 3*u = 3 + 18. What is the greatest common factor of 21 and u?
7
Suppose -14 = -3*b - g, -b + 6*b = g + 26. Let h = 56 + -51. Calculate the highest common divisor of h and b.
5
Let v be (-4)/22 - (-72)/33. Suppose 0 = 3*a + 2*m - 321, -4*a + v*a + 195 = -5*m. Calculate the highest common divisor of 21 and a.
21
Suppose r - 3*s = 9 - 121, 2*s - 115 = r. Let t = r + 71. Let h = -34 - t. Calculate the greatest common factor of 48 and h.
16
Suppose 3*k - 6 - 33 = 0. Suppose -3*u + 107 = -166. Calculate the greatest common factor of u and k.
13
Let r be (-33)/(-4 + 28/8). What is the highest common divisor of 33 and r?
33
Let h(o) = -o - 3*o**2 + 4*o**2 + 9*o**2. Let r be h(1). Let g be 182/4 + 3/(-6). What is the highest common divisor of g and r?
9
Let d(f) = -4*f - 2. Let t be d(-5). Calculate the greatest common divisor of t and 72.
18
Let m = 5 + -5. Suppose -8 = -4*v - 4*a, -4*v = -4*a - m*a. Calculate the highest common factor of v and 1.
1
Let d(j) be the second derivative of j**3/6 + 6*j**2 - 5*j. Let q be d(0). Calculate the greatest common divisor of q and 60.
12
Let a be 3 - (3/9 + 19/(-3)). Calculate the greatest common divisor of 3 and a.
3
Let q(h) = -h + 2. Suppose -3*m - 6 = -9. Let a be q(m). What is the highest common factor of 4 and a?
1
Let r(g) = g**3 + 3*g**2 - g + 3. Let l be 2/(15/(-6) + 2). Let v be r(l). Let h be (12/9)/((-1)/v). Calculate the greatest common factor of 60 and h.
12
Suppose -5*w + 27 = -13. Suppose -2 = 3*y - w. Suppose 5*m = y*z + 125, -3*m - z + 55 = -31. What is the highest common factor of 9 and m?
9
Suppose 132 = 5*y + 52. Calculate the highest common divisor of y and 176.
16
Let k be 3/(1 + (-1)/4). Suppose -k*c + 0*c = -180. Let g be (-4)/2 - c/(-3). Calculate the greatest common divisor of g and 13.
13
Suppose 0 = -4*g + 22 - 6. Calculate the greatest common factor of 20 and g.
4
Let f(k) = k**2 - 9*k - 12. Let j be f(11). What is the highest common factor of 2 and j?
2
Suppose h - 2 = 4*o + 6, -5*o = 5. Let r = 8 - h. What is the greatest common divisor of 16 and r?
4
Let g be 1*3 + (-20 - 1). Let i be ((-12)/g)/((-2)/(-45)). What is the greatest common factor of i and 5?
5
Suppose -3*z = -z. Let h be (z + 10)/(3/33). What is the highest common factor of 10 and h?
10
Suppose 4*w - 7 = -5*b, 0 - 4 = -4*b - 4*w. Suppose 3*u = 12 - b. Calculate the greatest common divisor of 33 and u.
3
Let x(v) = 6*v**2 - 1. Let w be x(-1). Suppose -2*z - z + 2*t + 36 = 0, 2*t = w*z - 60. Calculate the highest common factor of 18 and z.
6
Suppose -2*p = 4, 0 = -z - 3*p + 51 + 40.