*s, 17*s = 15*s - 4*c + 14. Let j(a) = a**2 + a + 9. Let g be j(0). Calculate the greatest common factor of g and s.
9
Let n be 204 + (10/(-2))/5. Suppose -4*t + 11*t = n. Calculate the greatest common divisor of 145 and t.
29
Let b = 587 + -416. Calculate the highest common divisor of 456 and b.
57
Let x(f) = 3*f**3 - f**2 + 1. Let b be x(1). Let u = 6 - 24. Let i be 84/u*72/(-14). Calculate the highest common factor of i and b.
3
Let x(b) = -15*b + 61. Let c be x(3). What is the greatest common divisor of 104 and c?
8
Let l = 27 - 9. Suppose 4*n - 10 = 3*i + 28, 3*i + 4*n + 46 = 0. Let b = l + i. Calculate the highest common divisor of b and 8.
4
Let r be (78 - 17)/(4/52). Calculate the highest common divisor of 52 and r.
13
Suppose -9 = 3*x - 4*x. Suppose 2 = -3*p + 14. Let i = x - p. Calculate the highest common divisor of 1 and i.
1
Suppose -18*r = -37*r + 456. Calculate the highest common factor of r and 2.
2
Let t be 1 - ((-282)/2 + 2). Let w be (2 + (-3)/2)*40. What is the greatest common divisor of w and t?
20
Let g be (-3 - 2)*18*(-16)/60. Suppose -3*j + 5*j = 6. Calculate the highest common divisor of g and j.
3
Suppose -69 = -5*z + y - 4*y, 57 = 4*z + 3*y. Let b be (-4 - 4)*(-2)/(-1). Let j be 3*(0 + b/(-6)). Calculate the greatest common divisor of z and j.
4
Let b = 364 + -354. Calculate the highest common divisor of 85 and b.
5
Suppose -2*g + 4*v + 431 + 15 = 0, -4*v = 4*g - 940. Calculate the greatest common factor of 21 and g.
21
Suppose -6 = 8*h - 78. What is the greatest common divisor of 1359 and h?
9
Let h be (-1)/(-4) + 21/12. Suppose 2*w - 2 = h*z, -2*z + 15 + 18 = 5*w. Suppose z*c + 192 = 7*c. Calculate the greatest common divisor of 8 and c.
8
Let q be ((3 - 4)*-15)/((-9)/(-6)). Let r be 6/((-7)/(1120/(-12))). Calculate the greatest common divisor of q and r.
10
Let y be 891*(10/(-5) - -3). What is the greatest common divisor of 81 and y?
81
Let p be 2337/12 + (0 - (-1)/4). Calculate the greatest common factor of p and 105.
15
Let x = -17 - -65. Calculate the highest common factor of x and 42.
6
Let a = -22 - -27. Suppose a*n + 5*y = 60, 0*y - 3*y = -3*n + 36. Calculate the greatest common factor of 6 and n.
6
Suppose 48*w + 619 = 51*w + q, 5*w - 2*q - 1050 = 0. Calculate the highest common factor of 32 and w.
16
Let l be ((-6)/(-5))/((-34)/(-1190)). What is the greatest common divisor of 378 and l?
42
Let d(j) be the third derivative of -j**6/120 - 7*j**5/60 - 5*j**4/8 - 5*j**3/2 - 12*j**2. Let x be d(-6). What is the greatest common divisor of 13 and x?
13
Suppose -600 = -11*n + 6*n. Let q be (-30)/(-21)*(-21)/(-3). Calculate the greatest common factor of q and n.
10
Suppose -2*v - 2*q = -v + 5, 8 = 2*v - 2*q. Suppose -16*i - 7 = -17*i. What is the greatest common factor of i and v?
1
Let y be ((-4)/10)/((-5)/25). Suppose 0 = -y*i + 20 + 8. Calculate the highest common divisor of i and 2.
2
Let k = 61 + -6. Let b(w) = 2*w**2 - 6*w - 6. Let x be b(7). Let j = k + x. What is the greatest common divisor of 21 and j?
21
Let p be -4 - (-7 - (-4 - -3)). Suppose -2*j + 36 + 2 = p*m, 5*j - 5*m - 115 = 0. Suppose -g = 3 - j. What is the greatest common divisor of 36 and g?
18
Suppose -3*f = -15, -4*k + 1178 = -128*f + 126*f. Calculate the greatest common divisor of k and 11.
11
Suppose -2*s + 3*s = 36. Suppose 6*h = -0*h. Suppose -2*b - 5*x + 38 = h, -3*x + 2 = -2*b + 2*x. What is the highest common divisor of b and s?
9
Let w be (-1)/(-4) - 95/40*-2. What is the greatest common divisor of 15 and w?
5
Let b be (5 - 1090/60) + (-2)/(-12). Let f(n) = 2*n**3 + 3*n**2 - n + 1. Let t be f(2). Let p = t + b. What is the greatest common divisor of p and 28?
14
Suppose -6*r = -10*r + 752. Suppose -244 - r = -3*y. Calculate the highest common divisor of 16 and y.
16
Let v = 81 + -40. Suppose z - v - 18 = -5*p, -4*p - 120 = -3*z. What is the highest common divisor of 22 and z?
22
Let w = 15 + -1. Suppose -77 = -7*t - w. Suppose -202 - 158 = -4*p. What is the highest common divisor of t and p?
9
Let x be 306/816 - (-61)/8. Suppose -4*o - 5*j = o - 65, -12 = 4*j. What is the highest common divisor of o and x?
8
Let s = -6 - -52. Let o = s - 20. Suppose -3*c - 31 = -109. What is the greatest common divisor of o and c?
26
Let u(g) = 53*g - 315. Let q be u(7). What is the greatest common factor of 4984 and q?
56
Let c(r) = -43*r**3 + r. Let g be c(-1). Suppose -4*s - 2*b = -b - g, 65 = 5*s - 5*b. What is the greatest common divisor of s and 11?
11
Let f(q) = q**2 + 3*q - 12. Let d = -57 + 51. Let c be f(d). Suppose -2*t + 75 = 5*i, -5*t - 40 = -3*i - 181. What is the highest common divisor of c and t?
6
Suppose 0*m - 4*m = -24. Let j be (-1 + 8/6)*9. Suppose 4*h = 2*q + 62, 0*h + 57 = 4*h - j*q. What is the highest common divisor of h and m?
6
Suppose -108 = -2*y + 4*f, -249 - 2 = -4*y + f. Let u = -84 + 59. Let a = y + u. Calculate the highest common factor of a and 26.
13
Suppose 3*i - 11*n - 420 = -8*n, 5*i + 5*n = 700. What is the greatest common divisor of 196 and i?
28
Suppose 2*q - u - 54 = u, 0 = 3*q - 5*u - 71. Let v = 142 - q. Calculate the greatest common divisor of 11 and v.
11
Let u(g) = 22*g + 2*g**2 + 12*g - 22*g + 1. Suppose -10 = 5*q, 7 = b + q + 16. Let v be u(b). What is the greatest common factor of 15 and v?
15
Suppose -2*t + 2 = -22. Let h = t + 33. What is the greatest common divisor of h and 18?
9
Let h = 11 - 7. Suppose 2*p + 12 = h*p. Suppose -33 = -3*f - p. What is the greatest common divisor of 45 and f?
9
Let r(s) = s**2 - 5. Let f be r(-4). Suppose -331 = -g - 320. Calculate the greatest common factor of f and g.
11
Suppose -4*n + x + 182 = 0, 133 = 5*n - 4*x - 89. Suppose -2*r = -4*o + 100, 3*o + r - 89 = 6*r. Calculate the greatest common divisor of o and n.
23
Let w = -13 - -15. Let q be -1 - -8*(w - 4/4). Calculate the highest common divisor of 35 and q.
7
Let a(p) = p**2 - 4*p + 6. Let y be a(4). Let v be 14/(-5)*(-15)/y. Let k(s) = s**3 - 6*s**2 + 1. Let x be k(6). What is the greatest common factor of v and x?
1
Suppose -3*d - 125 = -8*d. Let u(f) = 3*f**2 - 13*f + 7. Let x be u(6). Suppose 38 = z - x. What is the highest common factor of z and d?
25
Let n be -2 - ((-32)/2 - 1). Let q be ((32/6)/4)/(2/n). Calculate the highest common divisor of q and 10.
10
Suppose 0 = -5*o - 5*m + 3335, -o + 671 = -4*m + 3*m. Suppose -5*c - r + 5*r = -672, -5*c + o = -3*r. What is the greatest common factor of 12 and c?
12
Let i = 155 - 111. Let n(y) = -y**3 - y**2 + 2*y + 3. Let o be n(-3). Let s be (44/(-10))/((-6)/o). Calculate the greatest common divisor of s and i.
11
Let z(q) = q + 24. Let u be z(-11). Let p = -38 - -64. What is the highest common divisor of u and p?
13
Let f be (-1)/((-16)/(-40)*(-1)/2). Suppose 3*o = f*a + 131, -102 = 5*o - 4*a - 303. What is the highest common divisor of 185 and o?
37
Suppose 5*s + 3*i - 7*i - 4 = 0, 3*i = 12. Calculate the highest common factor of s and 6.
2
Let x = 192 - 146. Calculate the greatest common factor of x and 276.
46
Let n(k) be the first derivative of k**3/3 - 9*k**2/2 + 2. Let g be n(10). Let s = g + 7. What is the highest common divisor of s and 34?
17
Let w be (-8)/(-4) - (-9 + -6). Calculate the highest common factor of w and 1.
1
Suppose 428*g = 423*g + 75. Calculate the highest common divisor of 3 and g.
3
Suppose -4*f - 94 = -270. Let w = 0 + 3. Suppose 67 = 5*t + w*d, 2*d = -t - 0*d + 19. Calculate the greatest common divisor of f and t.
11
Suppose -4*t + 44 = 5*i, -i - 4*t - 4 + 16 = 0. What is the greatest common factor of 82 and i?
2
Let q(h) = 207*h**2 + 3*h + 4. Let u be q(-1). What is the greatest common divisor of 13 and u?
13
Let l be (-1707)/3 + -2 - -4. Let d = -237 - l. Suppose 0 = 6*b - b - d. What is the greatest common factor of 6 and b?
6
Let p(w) = w**3 + 8*w**2 + 8*w - 21. Let s be p(-4). What is the greatest common divisor of 682 and s?
11
Let k(p) = 13*p - 243. Let n be k(23). What is the greatest common factor of 21 and n?
7
Let m(j) = 2*j**3 - 8*j**2 + 6*j - 2. Let s be m(5). What is the highest common divisor of 24 and s?
6
Let o = -209 + 352. Suppose -3*i + 34 = -5*d, -d = i - 5*d - 9. What is the greatest common factor of o and i?
13
Let r(a) = -3*a + 1. Let g be r(3). Let s = g + 36. What is the highest common factor of 28 an