 -a = 4*m, -2*m = -z + m + 19. Calculate the highest common divisor of w and z.
16
Suppose -42 = -j - 5*t, -j = -8*t + 3*t - 12. Suppose 4*r + 431 + 621 = 3*d, 2*d = 8. Let a = -251 - r. Calculate the greatest common divisor of j and a.
9
Let p(n) = 27*n**2 - 7*n + 13. Let z be p(6). Let k(w) = w**2 - 27*w - 215. Let o be k(34). What is the highest common divisor of o and z?
23
Let z be 77 - (-9)/(-1 - -4). Let m(o) = 7*o**3 - 3*o**2 + o + 2. Let a be m(2). Suppose -x - 16 = -a. Calculate the greatest common divisor of x and z.
16
Let s(p) = -1207*p - 2390. Let i be s(-2). Let k = -8 + 32. Calculate the greatest common divisor of i and k.
24
Suppose 5*h + 7 = 442. Let w = 16459 + -16343. Calculate the greatest common divisor of w and h.
29
Let z be 50 - (7 + -5 + 728/52). Let m = -562 + 834. Calculate the highest common divisor of m and z.
34
Suppose 3*f - 4*t = 376, -4*f + 4*t + t = -503. Let n = -2110 + 2038. Let w be (8 - 3)/((-15)/n). What is the greatest common divisor of f and w?
12
Suppose 5*l + 4*d = -447, -5*d = -4*l - 0*d - 333. Let y be 16/6*-4*l/58. Calculate the highest common divisor of 84 and y.
4
Let f = -4 + 16. Suppose -5*g + 615 = 3*u, g = -4*g - u + 605. Let s = 204 - g. What is the greatest common factor of s and f?
12
Let u(b) = -b**2 - 13*b - 6. Let t be u(-12). Let y be 58/t - 4*9/(-108). Calculate the greatest common factor of 3 and y.
1
Suppose 5*z - 168 = -2*d, -4*d + 6*d = 8. Suppose -4*a - 32 = y, -4*y = 5*a - a + z. Let c be a/(-6)*105/7. What is the greatest common factor of c and 160?
20
Suppose -16 = -4*q + 28. Let g be (-1)/3 - 1/(-3). Suppose -i + 3*t + 73 = -0*t, g = -5*t + 25. What is the greatest common divisor of q and i?
11
Suppose 0 = -42*c + 50*c - 1512. Calculate the highest common divisor of c and 399.
21
Suppose -5*p = -25, -1 = -3*w - p + 505. Suppose -n = 3*f - 72, -4*n + w = 5*f - 100. What is the highest common factor of 231 and n?
21
Suppose 2*b - 160 + 87 = 5*k, -2 = b + 3*k. What is the highest common divisor of b and 37?
1
Let c be (49/(-3))/(1/(-3)). Suppose 84 + 4 = 8*k. Suppose 8*n + k*n = 266. What is the greatest common factor of n and c?
7
Suppose -4*c + 4*k - 2122 = -2154, 0 = -3*c + 2*k + 20. What is the greatest common divisor of 524 and c?
4
Suppose 0 = r + 5*l - 359, 402 = 4*r - 3*l - 896. Suppose -257 = -3*m + 5*x, m - 6*m - 3*x = -485. What is the greatest common divisor of r and m?
47
Let s(m) = 580*m - 1979. Let l be s(6). Calculate the highest common divisor of 209 and l.
19
Let k(o) = o**3 + 2*o**2 - 11*o + 8. Let l be k(-4). Let p be -55*(48/l + -4). Calculate the highest common divisor of p and 33.
11
Suppose -2*z + 4*p + 13 - 81 = 0, 2*z + 4*p = -100. Let o be (-2)/7 + (-180)/z. Suppose 5*b - 40*b = -350. What is the greatest common divisor of b and o?
2
Suppose 5*j - a = 17, j - 3 = -2*j + 3*a. Suppose -2*r + j = 0, 4*h + r - 100 = -r. Calculate the highest common factor of h and 96.
24
Suppose 15 = -9*a - 102. Let u = -6 - a. Calculate the highest common factor of u and 1.
1
Suppose 4*s - 15 = -11, -41 = -2*k + s. What is the highest common divisor of k and 455?
7
Let y(j) = -12*j - 6. Let l be y(-5). Let w(b) = -3*b**3 - 190*b**2 + 128*b + 18. Let f be w(-64). What is the greatest common divisor of l and f?
18
Let i be (-3825)/(-40) + 123/328. What is the greatest common factor of 488 and i?
8
Suppose 0 = -5*i - 3*t - 2272, 5*i = 2*i - t - 1364. Let d = 470 + i. What is the highest common divisor of d and 120?
15
Let a(c) = 25*c - 14 + 64 + c**2 + 38. Let q be a(-21). What is the highest common divisor of q and 1?
1
Let h(u) = u**2 - 4*u + 4. Let y be h(4). Suppose -y*p - 5*p - 18 = 0. Let j be (p/(-1))/(16/320). What is the greatest common divisor of 100 and j?
20
Let x(s) = s**3 - 26*s**2 + 49*s + 5. Let o be x(24). Suppose -5 = -2*h + 5*c, 4*h - o = -2*c - 7. What is the greatest common factor of h and 17?
1
Suppose 59*j + 6*j = 520. Suppose -6*f + 7*f - 4*z = 140, 792 = 5*f + 3*z. Calculate the greatest common divisor of j and f.
4
Let u = 1563 - 1238. What is the highest common factor of u and 150?
25
Suppose -5*s + 42 = -3*s. Suppose 11*r = 2*r - 81. Let x be (r - 12)*(-3)/(-6)*-2. What is the greatest common factor of s and x?
21
Let z(v) = 394*v**2 - 34*v - 58. Let f be z(-21). Let q be 0 + 2/3 + f/321. What is the greatest common factor of q and 68?
68
Let x be -1 - (-1 + -2 - 4). Suppose -16*m = -20*m + 588. Let o = -143 + m. Calculate the highest common divisor of x and o.
2
Let r = -8 + -2. Let n be 4*7/84 + 3/(-9). Let y be (n - -23) + (-9 - r). Calculate the highest common factor of 192 and y.
24
Let a be (-1 - 0/(-2)) + 13. Let m(u) = 3*u + 46. Suppose -61*q + 126 = -70*q. Let h be m(q). Calculate the greatest common factor of a and h.
4
Let w(a) = 10*a**2 - 13*a - 102. Let d be w(-7). Let k = 484 - d. What is the greatest common divisor of 95 and k?
5
Let l be (-2 + -1)*(-44)/12. Let d be (-4)/(-36) + -39*(-266)/189. What is the greatest common divisor of l and d?
11
Suppose b = a + 2, 15 = 7*a - 2*a. Suppose 0 = -3*c - 5*x + 50, b*x + 13 = -4*c + 78. What is the highest common divisor of 20 and c?
5
Let y = 7 + -9. Let a be ((-60)/(-8))/(y/(-16)). Let n(q) = 15*q**3 - q**2 + q. Let h be n(1). Calculate the greatest common factor of a and h.
15
Suppose -398 = -3*z - 98. What is the greatest common factor of z and 4?
4
Let f(n) = -n**3 - 2*n**2 + 7*n - 73. Let q be f(-6). Suppose 0*p + 2*p - 226 = -4*t, -2*t + 107 = 3*p. Calculate the highest common divisor of q and t.
29
Let y(q) = 5*q**2 - 208*q - 70. Let s be y(42). Suppose 4*x - 608 = 2*z, -x = -2*z + 8 - 154. Calculate the greatest common divisor of s and x.
14
Let m = 253 + -261. Let l(f) = -8*f - 46. Let a be l(m). What is the highest common factor of a and 72?
18
Suppose 2531 = -5*s + r + r, -5*s + 5*r - 2540 = 0. Let h = s - -538. Calculate the highest common divisor of h and 2.
1
Suppose 7598*v - 7603*v + 2660 = 0. What is the greatest common divisor of v and 608?
76
Suppose 16762 = 33*j - 5018. What is the highest common divisor of j and 180?
60
Suppose 60*d + 280 = 65*d. Suppose -d + 9 = a - 4*q, 0 = -q + 3. Let i = a - -41. What is the highest common factor of i and 9?
3
Suppose -3*n - z = -76, z = -4*n + 212 - 112. Calculate the highest common factor of 616 and n.
8
Let d(s) = -2*s**3 + 3*s + 1. Let c be d(-2). What is the greatest common factor of 2761 and c?
11
Let m(h) = 2400*h + 10716. Let z be m(0). Calculate the highest common factor of 912 and z.
228
Suppose n + 70 = 6*n. Suppose -7*u - 301 = -n*u. Let t = 75 - u. What is the highest common factor of 8 and t?
8
Suppose -51 = -f + 1. Let w be -60*(1/(-4) - 65/f). What is the highest common factor of 72 and w?
18
Suppose -402 = -j - 399. Let n be (0 + -29)*((-12)/4)/j. Let g(p) = p**3 + 5*p**2 - 5*p + 4. Let q be g(-5). What is the greatest common divisor of n and q?
29
Suppose -6*c = 7 - 19. Suppose 36 = 2*a + c*v, 72 = 2*a + 5*v + 27. Let q = 27 - a. What is the greatest common divisor of q and 24?
12
Suppose -61 + 13 = 12*k. Let r be -7*((-2)/k*-10 - 17). What is the highest common factor of 44 and r?
22
Let p(b) = b + 112. Let z(y) = 3*y + 222. Let a(f) = 11*p(f) - 6*z(f). Let t be a(-22). Calculate the highest common divisor of 36 and t.
18
Let b(v) = -v**2 - 12*v - 5. Let q be b(-7). Let f = 34 - q. Suppose u = f*m - 102, -u + 67 = 4*m - 31. Calculate the highest common factor of m and 10.
5
Suppose -i - 2*r = -5*r - 93, -i = 5*r - 93. Let m be (-2)/(-8) + 340/(-16). Let b be (7/m)/((-1)/93). What is the highest common factor of b and i?
31
Let w be 3544/2215 - (-162)/5. Calculate the highest common divisor of w and 23817.
17
Suppose 244*k - 241*k - 288 = 0. Suppose -3*h + 156 = 3*y - y, 4*y - k = -2*h. What is the highest common divisor of h and 12?
6
Suppose -3*f = 7*a - 9*a - 51024, -4*a + 85062 = 5*f. Calculate the highest common factor of 210 and f.
210
Let u(d) = 45*d + 3. Let p be u(6). Let r = 123 - 117. Let l(z) = -3*z + 57. Let b be l(r). What is the highest common divisor of b and p?
39
Let u be 2 + 5 - -8 - -4. Let c = 144 - 143. What is the highest common factor of u and c?
1
Let d(t) = -t**3 - 47*t**2 + 45*t + 196. Let v be d(-48). Calculate the highest common factor of 100 and v.
20
Let x = -915 - -919. Suppos