and y.
9
Let n be (-27)/(-6) + (-3)/(-6). Suppose -j - n = 13. Let d = -9 - j. What is the highest common divisor of d and 36?
9
Suppose -5*m + 15 = -3*t + 8*t, 27 = t - 5*m. What is the highest common divisor of 63 and t?
7
Suppose 4*r + 1 - 13 = 0. Let g = 62 - 60. Suppose -2*b - 31 = -c, r*c - 95 = 6*b - g*b. What is the highest common divisor of 3 and c?
3
Suppose 19*h + 40 = 23*h. Calculate the greatest common factor of h and 50.
10
Let a(r) = r**2 - 6*r - 4. Let u be a(-4). Suppose 4*y - 2*c = 212, 2*c = -2*y - 2*y + 220. What is the greatest common factor of u and y?
18
Let i = 13 - 17. Let j be i - (-2 - (16 - 4)). What is the greatest common factor of j and 70?
10
Suppose j - 3*j = -40. Suppose 6*w - 7 = g + 3*w, -g = 4*w - 28. What is the highest common divisor of g and j?
4
Let p(n) be the third derivative of n**5/60 + n**3/2 + 2*n**2. Let t be p(0). What is the greatest common factor of 3 and t?
3
Let t(r) = -r**3 - 18*r**2 - 20*r - 29. Let m be t(-17). Calculate the greatest common divisor of m and 198.
22
Suppose -5*t - 3*n = -4*t - 60, -t + 3*n = -90. Suppose 5*q - 107 = -32. What is the highest common factor of q and t?
15
Let u be 2/(-1 + 0) - -2. Let q(j) = 0 + j + 11 - 3. Let p be q(u). Calculate the highest common divisor of p and 32.
8
Suppose 7*o - 15 = 6. Calculate the highest common factor of 15 and o.
3
Suppose a + 7 = k - 0*a, k - 4*a = 16. Suppose 0 = -k*f - 4 + 40. What is the greatest common divisor of 9 and f?
9
Let v = -12 + 17. Suppose v*q - 10 = 25. Suppose 3*o = -4*l + 27, 4*l = 3*o - q + 4. Calculate the highest common divisor of o and 5.
5
Suppose -14 = j - 5*k, -4*k + 5 = -2*j - 5. Let o be -3*j + (0 - -28). What is the greatest common divisor of 275 and o?
25
Suppose -3*j = -4*j + 4. What is the highest common factor of j and 12?
4
Suppose 3*n + 2*n = 140. Let p(w) = -2*w - 3. Let c be p(-5). What is the greatest common factor of c and n?
7
Let a(y) = -y**2 - 9*y - 5. Let d(l) = -l**3 - 5*l**2 + l. Let g be d(-5). Let u = g - 2. Let j be a(u). What is the highest common factor of j and 3?
3
Let j = 25 - -11. Calculate the greatest common factor of 252 and j.
36
Let u be -2 + 4 + -2 + 2. Suppose d = u*z - 2*d - 12, 3*d = -6. Calculate the highest common factor of 33 and z.
3
Let f be (-21)/(-6) - (-2)/(-4). What is the highest common divisor of 9 and f?
3
Suppose -5 = -5*y, 0 = 2*h + 3*y - 113 + 10. Calculate the highest common divisor of h and 20.
10
Let d = 7 - 2. Suppose -4*x - 3*g = -45, 0 = d*x - 3*g - 13 - 23. Let m be (-1086)/(-15) - (-6)/(-15). Calculate the highest common factor of m and x.
9
Let a = -41 - -29. Let n be (-549)/(-12) - (-9)/a. What is the greatest common factor of 5 and n?
5
Let d be (4/6)/((-2)/(-33)). Let u = -10 - -7. Let x be u + 3 + -1 + 89. Calculate the greatest common factor of d and x.
11
Suppose b = -3*b + f + 59, -4*b + 71 = -5*f. Calculate the greatest common factor of 154 and b.
14
Let q(h) = 3*h**2 - 10*h - 52. Let f be q(7). Let o be 2 + 9/1*-1. Let t = 12 + o. Calculate the highest common factor of t and f.
5
Suppose -4*d + 8*p - 4*p + 64 = 0, 0 = -2*p - 10. Let g = 9 - 8. What is the greatest common divisor of g and d?
1
Let q be (-1)/(-2)*50 - -3. Let c = q + 17. Calculate the highest common factor of c and 18.
9
Let m = 16 - 68. Let v be 3 - (m + -1 - -2). Calculate the greatest common divisor of 9 and v.
9
Let g(j) = 6*j - 5. Suppose 0*u + 4 = u - 4*l, 0 = 4*l. Let i be g(u). Calculate the highest common divisor of i and 19.
19
Suppose 5*k - 280 = k. Let f(y) = y**3 - 7*y**2 - 7*y + 2. Let i be f(8). What is the highest common divisor of i and k?
10
Suppose -153 = 4*w - 29. Let x = w - -45. Suppose n - x = -n. Calculate the highest common divisor of n and 14.
7
Let x(t) = -2*t**3 + 5*t**2 + 7*t + 6. Let a be x(-4). Let g be 3/((-363)/a - -2). Suppose 0 = -4*f - 14 + g. Calculate the greatest common divisor of f and 12.
12
Let o(h) = h - 8. Let g be o(13). Calculate the highest common factor of 10 and g.
5
Let p(i) = -i**3 + 13*i**2 - 12*i - 4. Let r be p(12). Let v = -6 + r. Let b = v - -11. What is the highest common divisor of b and 3?
1
Let i = 147 + -87. What is the highest common factor of i and 36?
12
Let g be 5/(-4)*(-34 - 14). What is the highest common factor of g and 15?
15
Suppose -v + 3*w - 5*w + 218 = 0, 5*v + 5*w - 1085 = 0. What is the highest common divisor of 27 and v?
27
Let y = 8 - 5. Let m = 5 - y. Suppose 0 = -3*l - 3*o + 72, 0 = -5*l - 6*o + 2*o + 118. Calculate the highest common factor of l and m.
2
Let c(o) be the second derivative of o**4/12 - 4*o**3/3 + 2*o**2 - o. Let n be c(7). Let k be -3 - (-57)/n*-1. Calculate the greatest common factor of k and 48.
16
Let f be (2/(-6))/(11/(-891)). Calculate the highest common divisor of f and 27.
27
Let a be 3 + 0 + (-6 - -17). Suppose 0*i - 2*i = -4. What is the highest common factor of i and a?
2
Let s = -27 + 62. Calculate the highest common factor of s and 14.
7
Let r be 2/(-8) - 687/(-12). Suppose 2*p + p + 81 = 5*u, r = 4*u - 5*p. What is the highest common divisor of 9 and u?
9
Suppose -3*l - 3*l = -66. What is the greatest common divisor of l and 11?
11
Suppose 5*c + 22 - 97 = 0. Calculate the greatest common divisor of c and 15.
15
Let a = -40 + 65. Calculate the greatest common divisor of a and 275.
25
Let t(g) = -g**2 + 10*g - 8. Let o be t(6). Calculate the greatest common factor of o and 64.
16
Suppose 0 = -5*u - 13 + 38. What is the highest common factor of 45 and u?
5
Let b(i) = -2*i + 6. Let v be b(-2). Calculate the greatest common factor of v and 410.
10
Let h be (-1)/4 + -543*(-2)/24. Calculate the greatest common divisor of h and 36.
9
Let a(z) = 2*z**2. Let h be a(2). Let w(o) be the third derivative of o**4/24 - o**3/6 + o**2. Let q be w(9). What is the greatest common divisor of q and h?
8
Let j(g) = -g**3 + 8*g**2 + 7*g - 34. Let p be j(7). Suppose 4*b = 15 + 17. Calculate the greatest common factor of b and p.
8
Let s = -3 - -18. What is the greatest common factor of s and 135?
15
Let v(a) = a - 1. Let t be v(5). Suppose g - t = 0, k + k + 3*g = 108. Calculate the greatest common divisor of k and 6.
6
Suppose -n = -4*s + 3*s, -4*n - s + 10 = 0. Let t(c) = c**2 - c - 1. Let r be t(n). Let g = 18 - 10. What is the greatest common factor of r and g?
1
Let g(y) be the second derivative of y**4/12 - 4*y**3/3 - 5*y**2 + y. Let h be g(10). Let i = h - 7. Calculate the highest common divisor of 3 and i.
3
Let a(r) = -r**3 + 8*r**2 - 7*r + 1. Let x be a(5). Suppose -v + x - 5 = 0. Let f be (v/(-15))/((-1)/30). Calculate the greatest common divisor of f and 8.
8
Let n(r) = -r - 3. Let j be n(-6). Suppose 22 = -5*w + 2. Let u = 10 + w. Calculate the greatest common divisor of j and u.
3
Let v(l) = -l**2 - 13*l - 10. Let s be v(-12). Suppose 4*o - 2*o = -8. Let h be (s/o - 2)*-4. What is the greatest common factor of h and 20?
10
Let t be (-52)/14 - 4/14. Let s be (-2)/t*(2 + 10). Let r be (4/5)/((-2)/(-10)). Calculate the highest common divisor of r and s.
2
Let y = 51 + -30. Suppose y = k - 56. Calculate the highest common factor of k and 7.
7
Let h(d) = -d. Let o = -1 - -2. Let r be h(o). Let l be r*(3 + -1) + 3. Calculate the highest common factor of l and 8.
1
Let v be 1/((-2)/(-16)) + -1. Let l(w) = 2*w**2 + 5. Let o be l(-6). What is the highest common divisor of v and o?
7
Suppose 2*y = -4*r - 2, -2*y - 3*r - 5 + 3 = 0. Let b = y + 19. Calculate the highest common factor of b and 198.
18
Let p be (-16)/(-4) - 17*-7. Let s = p - 78. What is the highest common divisor of 30 and s?
15
Suppose -5*i = -2*i. Suppose k - 3 + 51 = i. Let a = 84 + k. Calculate the highest common factor of 24 and a.
12
Suppose 1200 = -2*p + 12*p. Calculate the greatest common factor of p and 15.
15
Suppose -5*i = -6*i + 5. Calculate the highest common divisor of 5 and i.
5
Let f = 73 - 65. Calculate the highest common divisor of f and 16.
8
Suppose 5*u - 192 = -4*t + 134, 5*u - 327 = -3*t. Suppose -s = 2*c + s + 24, 0 = -c + 3*s - 20. Let r = c + u. What is the greatest common divisor of 13 and r?
13
Let l(q) = -q**3 + 6*q**2 - 3*q + 4. Let d be 1/(-5) + (-182)/(-35). Let g be l(d). Calculate the highest common factor of 2 and g.
2
Let c(f) = 18*f**2 + 7*f + 30. Let d be c(-3). What is the greates