343 - -368. Let r(g) = 25*g**2 - 20*g + 50. Let p be r(5). Calculate the highest common factor of p and h.
25
Suppose 1478 = b - 2*h, -b - 57*h = -53*h - 1472. What is the greatest common factor of b and 72?
36
Suppose -8*j = 9 + 23. Let i be (j/5)/((-2)/10). Let b = -1066 - -1086. Calculate the highest common divisor of b and i.
4
Let n(a) = 5*a**2 + 9*a. Let q be n(-7). Suppose -2*h - 615*x + 618*x + 1262 = 0, -3*h + x + 1907 = 0. Calculate the highest common divisor of q and h.
91
Suppose -3*x + 1 = -35. Let i be -1 + (x/(-24) - (-171)/2). Calculate the greatest common factor of i and 231.
21
Suppose 111*r - 378 = 90*r. Calculate the greatest common factor of r and 14.
2
Suppose 11*d - 17296 = -8936. What is the highest common divisor of 110 and d?
10
Let v = -8084 - -8168. What is the highest common factor of 448 and v?
28
Suppose c - 2*t = -8, -20 + 4 = -2*c - 4*t. Suppose 0 = -c*q - 4*q. Suppose -61*i + 56*i + 315 = q. What is the greatest common factor of 18 and i?
9
Let g(i) be the third derivative of i**5/60 - i**4/24 - i**3/6 + 9*i**2. Let o be g(1). Let y be 40/60 - o*8/6. What is the highest common factor of y and 6?
2
Let i(w) = -5*w**2 + 16*w - 9. Let v(u) = 4*u**2 - 15*u + 11. Let o(k) = -5*i(k) - 6*v(k). Let j be o(-14). What is the greatest common factor of j and 175?
35
Let x(n) = -18*n. Let a be x(-2). Suppose 16*b + 3*v = 17*b - 669, 4*b + 2*v - 2746 = 0. Calculate the highest common divisor of a and b.
36
Suppose 7848 = 52*n - 108. Calculate the greatest common factor of 2397 and n.
51
Let f(x) be the third derivative of -23*x**4/24 - 19*x**3/6 + 137*x**2. Let b be f(-2). Calculate the greatest common factor of 72 and b.
9
Let p be (-23 - 445)/(6/(-8)). Suppose -13*w + p = 3*w. What is the greatest common factor of 117 and w?
39
Let v be 4*3 - (6 + -7)*-5. Suppose 5*b + v*b - 72 = 0. Calculate the greatest common divisor of b and 174.
6
Suppose -g + 235 = 2*j, -2*j - 15*g = -19*g - 230. Suppose 531 = 10*b + 11. What is the greatest common factor of b and j?
13
Let q(s) = -s**3 - 3*s**2 + 4*s + 749. Let r be q(0). Calculate the highest common divisor of r and 1712.
107
Let s(m) = -16*m**3 + 12*m**2 - 8*m**2 - 5*m**3 - 2*m + 3*m. Let d be s(-1). What is the greatest common factor of 384 and d?
24
Let h(l) = -l**3 - 10*l**2 - 7*l + 7. Let v be h(-10). Suppose 220 = 9*k - v. What is the highest common divisor of 44 and k?
11
Suppose -9 = -5*y + h, -h = 5*y - 0*h - 11. Suppose 315 = 5*b + 5*d - y*d, b + 4*d = 46. What is the greatest common factor of b and 12?
6
Suppose -r + 3*u + 16 - 67 = 0, 5*u = 2*r + 100. Let q(a) = -13*a. Let p be q(3). Let h = p - r. Calculate the highest common factor of 2 and h.
2
Let a(c) = 6 - c + 4*c - 2*c. Suppose 0 = 5*f + 5*y - 85, 2 = f - 5*y - 3. Let h be a(f). Calculate the greatest common divisor of 105 and h.
21
Let k(d) = -d**3 - 13*d**2 + 13*d - 16. Let c be k(-14). Let w be (5 + c/(-1))*15. Suppose 16 + 29 = 3*s. Calculate the highest common factor of w and s.
15
Let a(f) = -5*f - 25. Let u(k) = 5*k + 25. Let b(j) = -5*a(j) - 6*u(j). Let s be b(-7). What is the greatest common divisor of 220 and s?
10
Let z = 52 - 46. Let w = z + -5. Let g be (-6*2/(-15))/(w/75). Calculate the highest common divisor of 24 and g.
12
Let i be 2 + -7 + 102 - -1. Let c(h) = h**3 - 3*h**2 - 5*h + 4. Let r be c(-4). Let o = i + r. What is the greatest common factor of 70 and o?
10
Suppose 116*m - 136*m + 580 = 0. Suppose -205 = -m*d - 31. What is the greatest common factor of 3 and d?
3
Suppose -3*g + n + 1542 = 0, 0 = -2*g + 5*g - 3*n - 1548. Suppose 39459 = 1256*h - 32133. Calculate the greatest common factor of h and g.
57
Suppose 3*i - 74 = 5*k - 261, 4*i - 19 = -k. Suppose -2*n - 42 = -5*w + 62, 0 = 2*w - 3*n - k. What is the highest common factor of 77 and w?
11
Suppose -5*x = -20, -4*f - 44*x + 168 = -47*x. Suppose -2*z - 11 = -s, z = -7*s + 3*s + 35. Calculate the greatest common divisor of f and s.
9
Let q = 7003 - 5687. What is the greatest common factor of q and 644?
28
Let s = 108 + -105. Suppose -2*l - s*l - 35 = -4*z, 14 = z + 4*l. Let q be (5 - z/2) + 22. Calculate the highest common factor of 2 and q.
2
Suppose -10*p - 1795 = -14*p + 5*m, -2*p - 2*m + 920 = 0. What is the highest common divisor of 105 and p?
35
Suppose -7*p - 20163 = -2894. Let t be 117/(-429) + p/(-11). Calculate the greatest common factor of 7 and t.
7
Let t = -8328 - -8643. What is the highest common factor of t and 1015?
35
Suppose 84*m + 170 = 17222. Suppose -5*o - 3*c + 150 = 0, 2*o - 6*c + 3*c - 60 = 0. Suppose h - o = -1. Calculate the greatest common divisor of h and m.
29
Let l = 114444 + -49104. Calculate the greatest common divisor of l and 15.
15
Suppose 2*v = -4*q + 6672, -3*v + 2*q + 5806 + 4218 = 0. Calculate the highest common factor of v and 20.
20
Let v = 875 + 105. Suppose 12*h = 19*h - v. Calculate the greatest common factor of 210 and h.
70
Let y(i) = -46*i**3 + 3*i**2 - 8*i - 37. Let m be y(-4). Calculate the greatest common factor of 29 and m.
29
Let w = -3994 - -3996. Calculate the highest common divisor of 3 and w.
1
Suppose -197*m + 205*m - 48 = 0. Calculate the highest common divisor of 2211 and m.
3
Let v be (18/4)/((-69)/(-460)). Let m be (7 - 216/v) + 242/10. Let k = m + -11. Calculate the greatest common factor of 143 and k.
13
Let o be (-31)/1*1 - (-6 - -5). Let h = o + 30. Let q(g) = -2*g + 18. Let d be q(h). Calculate the highest common factor of 162 and d.
18
Suppose -3120 = -702*h + 672*h. Calculate the highest common factor of 2132 and h.
52
Suppose -89*h + 2272 + 106996 + 125603 = 0. Calculate the highest common divisor of h and 91.
91
Let r(y) = 83*y + 691. Let t be r(-8). What is the highest common factor of 171 and t?
9
Let k = 144 + -71. Suppose k = 3*q + 22. Suppose l + 463 = -5*z + 1566, 874 = 4*z + 5*l. What is the greatest common factor of q and z?
17
Let g(a) = -2*a**2 + 284*a + 13312. Let n be g(-37). Let l = 1640 - 386. What is the greatest common factor of l and n?
66
Let u(b) be the second derivative of b**4/12 - 7*b**3/6 + 3*b**2 + 105*b. Let w be u(9). Calculate the highest common divisor of w and 18.
6
Let c(a) be the first derivative of a**3/3 - 13*a**2 - 141*a - 263. Let o be c(33). Let p = 3 - -7. Calculate the greatest common factor of p and o.
10
Suppose -101*t + 40230 = 86*t + 12741. What is the highest common divisor of t and 6027?
147
Let a(x) = -x**3 - 10*x**2 - 12*x + 115. Let c be a(-13). Let u = c + -728. What is the greatest common divisor of u and 80?
10
Let x(m) = -359*m - 22598. Let t be x(-63). Let o(z) = -2*z**3 - 7*z**2 + 2*z + 3. Let k be o(-6). Calculate the greatest common factor of t and k.
19
Let y = 1454 - 1453. What is the greatest common divisor of 1601 and y?
1
Suppose -4*d + 474 = -f, -2*d = -5*f - 137 - 73. What is the highest common factor of 1050 and d?
30
Let f(x) = x**2 - 1. Let h be f(-2). Suppose -2*q + s = -119, -148 - 37 = -h*q - 5*s. Let a be 2*9/(-6) - -27. What is the greatest common divisor of q and a?
12
Let j(k) = -2*k**2 - 37*k + 55. Let l be j(-19). Calculate the greatest common factor of 8676 and l.
36
Let q(z) = z**2 - z - 12. Let w be q(4). Let j be (-6)/2 + w - -45. Suppose 13*h - j = 11*h. What is the highest common factor of h and 231?
21
Suppose -2*d = -0*d - 32. Suppose 62*h = 6193 + 5282 + 8861. Calculate the highest common factor of d and h.
8
Suppose 0 = -3*h - 2 + 11. Let a be h/12 + (-286)/(-8). Let o = 5361 + -5334. What is the greatest common divisor of a and o?
9
Let j = 386 + -387. Let p be 2*(j + 2) + 8. What is the highest common divisor of p and 45?
5
Suppose -5*n + 2*a = -n - 494, -5*n = 5*a - 655. Calculate the highest common divisor of 90 and n.
18
Suppose m - 165 = 2*h + 100, -5*h - 533 = -2*m. What is the highest common divisor of m and 133?
7
Let g be 0/(-3) + -2 + 2. Suppose 6*q - 3*q - 6 = g. Suppose 309*t = 564*t + 343*t - 4784. Calculate the highest common divisor of t and q.
2
Suppose 4*o - 14 = 2*i, 2*i = 3*i - 1. Let r be 21/9*(o + 2). Suppose r + 19 = 3*q. What is the highest common factor of 77 and q?
11
Let w(v) = -v**2 + 8*v - 1. Let l be w(8). Let p(n) = -13*n**3 + 2*n + 2. Let a be p(l). Calculate the highest common divisor of 13 and a.
13
Suppose -205*t = -1273 - 572. Calculate the hig