.
2
Suppose l - z = -2*l + 7, -2*l - 3*z = -12. Suppose 5*r - 3*s - 59 = 0, 2*r - l*s = -s + 22. What is the highest common divisor of r and 104?
13
Let v = 50 + -42. Suppose -39 = -2*h - 3*o, v*o - 3*o = 5. Calculate the greatest common factor of 9 and h.
9
Let w be (1 + 113 + -1)/(0 - 1). Let f be (4 - 6)*(2 - -26). Let v = f - w. Calculate the greatest common factor of v and 19.
19
Suppose -14 = -2*z - 2*h, 0 = 5*z + 2*h + h - 39. Let m be ((-8)/(-3))/((-16)/(-216)). What is the highest common factor of z and m?
9
Let o be (-27)/(-12) + 6/(-24). Suppose -o*c + 13 = 5. Suppose 27 = c*t - 101. Calculate the highest common factor of 8 and t.
8
Let j(t) = -77*t - 220. Let w be j(-6). Suppose -3*k = -z + 164, k + 3 = -2*k. Let x = w - z. Calculate the highest common divisor of x and 9.
9
Suppose 4*z - 3*z - 294 = -f, 0 = 5*f - 3*z - 1494. Let p = 126 + -131. Let v be 32 + (-3 - 1 - p). Calculate the highest common divisor of v and f.
33
Let a be 8*(-2)/(-4) + (-408)/(-8). What is the greatest common divisor of a and 176?
11
Let l = 41 + -37. Suppose 6 = -l*c + 126. What is the greatest common divisor of c and 6?
6
Suppose -240 = -481*y + 477*y. Let s be 248/20 + (-4)/10. What is the greatest common divisor of y and s?
12
Suppose 0 = -j - 3*q - 7, 4*q = 4*j + j - 22. Suppose 0 = -3*d - j*d - 35. Let s be 18/42 + (-137)/d. Calculate the highest common divisor of s and 30.
10
Let g(z) = -z**3 - 8*z**2 - 9*z. Let l be g(-7). What is the greatest common factor of l and 28?
14
Let r = 86 + 28. Let s = 136 - r. Calculate the greatest common factor of s and 88.
22
Let m(r) = r**3 + 7*r**2 + 3*r - 11. Let w be m(-6). Let l = -1 - -1. Suppose 189 = 3*b - l*b. Calculate the greatest common divisor of w and b.
7
Suppose 0 = 3*z - o + 12, -z - 24 = 3*z - 4*o. Let f be 15/(z/33*-1). What is the highest common divisor of 15 and f?
15
Let l be 1/3 - 370/(-6). Let y(r) = r**2 + 35*r + 127. Let a be y(-32). What is the greatest common factor of l and a?
31
Let w be 2*9*(-34)/51. Let x = w + 30. Suppose 5*k - 6 = 2*k. What is the greatest common divisor of k and x?
2
Let v(o) = 42*o**2 - 3*o + 2. Let a be v(1). Let w = 67 - a. Calculate the highest common factor of w and 39.
13
Suppose 3*d - 24 = 3*q, 0 = -0*d - 2*d - 4*q - 8. Let n(t) = 8 + 12*t + 5*t**2 + 7 - 4 - d*t. Let u be n(-5). Calculate the greatest common factor of u and 24.
24
Let s(g) = -g**2 + 31*g - 9. Let u be s(8). Suppose 3*f - u = 5*n, 2*n + 255 = 5*f + n. Let b = -9 + 19. Calculate the greatest common factor of b and f.
10
Let j(u) = 120*u - 831. Let c be j(12). Calculate the highest common divisor of c and 42.
21
Suppose 0 = 3*t - 11 - 1. Suppose -4*w + 163 = 2*h - 203, 579 = 3*h - t*w. Let n be (3/(-4))/((-1)/28). Calculate the highest common factor of n and h.
21
Suppose 3*q + 3*f - 18 = 0, 13*f = -3*q + 18*f - 14. Calculate the highest common factor of 358 and q.
2
Suppose -3*w + 6 = 0, 5*k + 0*w + 18 = 4*w. Let r be k/1 + 5 + -3. Suppose 3*j - j - 44 = r. What is the greatest common factor of j and 154?
22
Let h = -354 + 478. Calculate the greatest common factor of h and 4.
4
Suppose 5*b + 60 = 5*z + 10, z = -b. Suppose 77 + 13 = z*s. Calculate the greatest common factor of s and 72.
18
Let l(z) = z**2 - 6*z + 4. Let i be l(8). Let m(w) = 3*w**2 + 10*w + 3. Let f be m(7). Calculate the highest common divisor of f and i.
20
Let y(r) = r**3 + 7*r**2 - 7*r + 6. Let a be y(-7). Calculate the greatest common factor of 275 and a.
55
Let g(n) = -n**2 + 2*n + 12. Let z be 1/((-128)/42 + 3). Let m be (-6)/z + 2/(-7). Let w be g(m). What is the greatest common factor of 3 and w?
3
Let j be (1512/(-162))/((-14)/12). Suppose -4*z + 2*w = -286, 0*w - 5*w = -5. Calculate the highest common factor of j and z.
8
Suppose 45 = 5*c - 5*i, -7 = -3*c - i + 4. Let y be (-10)/25 - 558/c. Let j = -79 - y. Calculate the highest common factor of j and 22.
11
Let y(b) = -b**2 + 5*b - 6. Let l be y(4). Let o be l/(-5) - 1190/(-25). Let a = o + -29. What is the greatest common divisor of a and 76?
19
Let k(l) = l**3 - 4*l**2 - 3*l + 1. Let x be k(4). Let b be (-22)/121 + -849*1/x. What is the highest common factor of b and 7?
7
Suppose 10*t - 5*n = 7*t + 178, -2*t + n = -128. What is the highest common factor of t and 99?
33
Let o = -14 + 16. Suppose 0 = -c - 3*c + 72. Suppose o*w = -w + c. Calculate the greatest common divisor of w and 54.
6
Let r(k) = 2*k + 53. Let q be r(-15). Suppose -3*c - 97 = 233. Let l = c + 363. Calculate the highest common factor of l and q.
23
Suppose -16 - 56 = -8*t. Calculate the greatest common factor of 9 and t.
9
Suppose 0 = -4*s - 1498 + 3246. What is the highest common factor of s and 69?
23
Suppose 27*j = 37*j - 350. What is the greatest common divisor of j and 45?
5
Let c be (-3 + 3)*1*1. Suppose c = 3*u - 5*r - 67 - 13, -4*u = r - 76. Let h(g) = -4*g + 4. Let s be h(-4). What is the highest common factor of s and u?
20
Suppose 0*g - 2*g = 5*j - 380, 10 = -5*j. What is the highest common divisor of g and 65?
65
Let u(l) = -3*l**2 + 39*l + 9. Let z be u(11). What is the greatest common factor of 255 and z?
15
Let l be 18 + -7 + (-2 - 2). Let c = -137 + 138. What is the highest common factor of c and l?
1
Suppose -l - 31 = -238. Suppose -q + 0*d + 3*d + l = 0, 0 = 3*q - 3*d - 615. Calculate the greatest common divisor of 51 and q.
51
Let f(u) = u**2 + u + 15. Let b be f(0). Suppose -12 = 4*m - 0*m, -3*m - 15 = -3*g. Let t = 5 - g. Calculate the highest common factor of b and t.
3
Let h(o) = 7*o + 1. Let i be h(1). Suppose 6*m = 2*m - 24. Let w = i + m. Calculate the highest common factor of 2 and w.
2
Suppose -5*y = -6*y - c - 248, 5*c = y + 272. Let w = y + 357. What is the greatest common factor of 21 and w?
21
Suppose -12*c = -14*c + 4. Suppose 3*n = -2*z + 88, 3*n + 6*z - c*z - 80 = 0. What is the highest common divisor of n and 256?
32
Suppose -w + 51 + 33 = 0. Suppose 0 = -3*u + 5*f - 1, 0*f = -u - f + 5. Let l be 3 + ((-3)/u - -10). What is the highest common factor of l and w?
12
Suppose g - 12 = 4*g. Let a be 30*(1 + -4 - g). What is the highest common divisor of a and 20?
10
Let i(x) = 3*x**2 - 33*x - 28. Let d be i(14). What is the highest common factor of d and 56?
14
Let q(x) = 10*x**2 - 9*x - 9. Let d be q(5). Let p = 12 + -9. Suppose p*g = 58 + 26. What is the greatest common factor of g and d?
28
Suppose -18*w + 320 = -2*w. Calculate the highest common factor of 340 and w.
20
Let f(g) = -g**2 + 6*g - 3. Let t be f(2). Suppose t*v - 9 - 21 = 0. What is the greatest common divisor of 15 and v?
3
Let x be 24/(-9) - -3 - 718/(-6). Calculate the highest common factor of x and 72.
24
Suppose -f - 70 = -5*h, 0 = -3*h + 5*f + 4 + 16. Let r = 115 + -110. Calculate the highest common factor of r and h.
5
Let s = 6 + -10. Let n = -1 - s. Let i be 16/((-9)/((-27)/2)). Calculate the greatest common factor of n and i.
3
Suppose 0 = -3*o - 2*o + 80. Suppose f = -184 + 186. Suppose -141 - 83 = -f*l. Calculate the highest common divisor of l and o.
16
Let z(s) be the first derivative of s**2 + 5*s - 1. Let l be z(0). Calculate the highest common divisor of l and 5.
5
Let l(u) = -u**2 + 9*u - 5. Let b be l(7). Let s be (-3)/((4/168)/((-3)/6)). Calculate the highest common divisor of s and b.
9
Let i(n) = 5*n - 84. Let d be i(27). What is the highest common factor of 3 and d?
3
Let m(q) = 5*q**3 + 2*q**2 - 2*q - 3. Let g be m(3). Suppose -23*x - 216 + 584 = 0. Calculate the highest common divisor of x and g.
16
Let d(v) = v**3 + 9*v**2 + 9*v + 13. Let f be d(-8). Let a be -1 - (f + 1)/(-1). What is the greatest common divisor of 5 and a?
5
Let g(z) = -2*z + 50. Let c be g(-19). Calculate the greatest common factor of c and 22.
22
Let b = -34 + 41. Suppose b*t - 64 = 146. What is the highest common factor of t and 6?
6
Suppose 3*h + o = -2*h - 1092, 4*o + 226 = -h. Let j(w) = 11*w**2 - 3*w + 12. Let x be j(-6). Let p = h + x. Calculate the greatest common divisor of 26 and p.
26
Let a be 0*(-5)/(-25) + -2. Let u be (-44)/(-3)*(-3)/a. What is the greatest common factor of 11 and u?
11
Let p be 3 + (1/(-1))/(2/(-4)). Suppose 0 = 5*r - 15, 3*n - p*n = r - 51. Calculate the highest common divisor of 216 and n.
24
Let q(i) be the first derivative of 11*i**2/2 - 4*i - 71. Let b be q(1). Su