1. Let t(w) = -2 + 9*w**3 - 1 - 4. Let a(j) = 2*t(j) + 14*v(j). Let g be a(1). Calculate the greatest common divisor of g and 28.
4
Suppose 6 = p + 2, 0 = 2*m + 4*p - 262. Suppose 50 = g - m. Let t = g + -96. What is the greatest common divisor of t and 7?
7
Let a(i) = 2*i**2 - 4*i - 10. Let l be a(5). Calculate the highest common divisor of 20 and l.
20
Let s = 22 - 68. Let m = s - -91. Suppose 5*v = -2*c + 21, -3*c = 2*v - 23 - 25. What is the greatest common factor of c and m?
9
Let d(f) = f**3 - 7*f**2 - 5*f - 6. Let b be d(8). Calculate the greatest common divisor of b and 12.
6
Let n be 3/(-2)*(-8)/3. Let o(j) be the first derivative of j**3/3 + 2*j**2 - j - 1. Let c be o(-7). Calculate the greatest common divisor of n and c.
4
Let b(j) = 13*j - 28*j - 12*j. Let h be (-2)/3 - (-2)/(-6). Let p be b(h). Calculate the highest common divisor of 3 and p.
3
Suppose 3*x + 5*k - 4*k - 598 = 0, -k - 602 = -3*x. Let v(r) = 3*r**2 + 6*r + 1. Let f be v(-4). Calculate the highest common factor of x and f.
25
Suppose -19*i + 16*i + 528 = 0. Calculate the highest common factor of 16 and i.
16
Let r = 10 - 7. Suppose -3*f - 2*o + 80 = 10, 4*f + 3*o = 93. What is the greatest common factor of r and f?
3
Let w = -10 + 6. Let l = 7 + w. Suppose -q + 8 = l*q, 52 = 2*i + 5*q. What is the highest common factor of i and 3?
3
Suppose -h - 5*z = -29, 4*h = -4*z - 0*z + 36. Suppose 2*b = h*b - 168. What is the highest common divisor of 14 and b?
14
Suppose -175 = 3*i - 8*i. Calculate the greatest common factor of i and 5.
5
Let m(s) = s**3 - 9*s**2 + 2*s + 9. Let v be m(9). Let k = v - 21. What is the greatest common factor of k and 66?
6
Suppose o - 155 + 430 = 2*z, -5*z - 5*o = -725. What is the greatest common divisor of z and 56?
28
Suppose -j - 72 = -3*h + h, -2*h = 2*j - 72. Let k = -35 - -49. Let n = 32 - k. What is the greatest common factor of h and n?
18
Suppose -4*v = -0*v - 16. Suppose -795 = -5*x + 3*n, 5*x - n - v*n - 785 = 0. Calculate the greatest common factor of x and 18.
18
Suppose 0*z + 31 = 3*z - 4*g, g + 46 = 5*z. Let i be ((-2)/(-5))/((-2)/(-80)). Let a be -10*(-4)/(i/18). What is the highest common divisor of a and z?
9
Suppose 104 - 24 = 2*w. Calculate the greatest common factor of 10 and w.
10
Let h = -18 - -72. What is the greatest common factor of 9 and h?
9
Suppose 4*q - 10 = -4*y + 2*q, 2*y - 14 = -4*q. Let v be 3 - (0 + y) - -13. Let u = -4 + 14. What is the greatest common divisor of v and u?
5
Let l = 80 + -56. What is the greatest common factor of 264 and l?
24
Let h = -8 - -8. Suppose 0 = -h*a + a - 2. Calculate the highest common divisor of a and 16.
2
Let b be (0 - (-1)/2)*0. Suppose -2*n = 10, -5*r + n + 75 = -b*n. Suppose -14 + 0 = -g. Calculate the greatest common divisor of g and r.
14
Let b = -32 - -107. Suppose 4*g - 3*l - 55 = 0, 7*l - 2*l + b = 5*g. What is the greatest common divisor of g and 90?
10
Suppose 5*l = -33 - 287. Let i = 104 + l. What is the greatest common divisor of i and 60?
20
Let i(c) = 53*c**2 - c. Suppose d + 1 = -0. Let j be i(d). Let k(a) = -a**3 - 7*a**2 - a - 1. Let u be k(-7). What is the highest common factor of u and j?
6
Let v be (1 - 3/5)/(7/2485). Let o be (-2)/8 - 1029/12. Let x = v + o. Calculate the greatest common factor of x and 7.
7
Suppose 0 = -4*f + 5*b + 65, -2*f + 2*b = -0*f - 30. Let j = 28 - f. Let t = j - 6. What is the highest common divisor of t and 48?
12
Let h(o) = 6*o**2 - 3*o - 2. Let s be h(-1). Let r be 2/14 + 83/s. Let z = 11 + 109. What is the greatest common divisor of z and r?
12
Suppose 0 = -6*h - 8 + 632. Calculate the greatest common divisor of 13 and h.
13
Let p be (-2)/(-7) - (-15920)/140. Calculate the greatest common divisor of 19 and p.
19
Suppose -4*n - 21 = -61. Let g = -31 - -56. What is the highest common divisor of g and n?
5
Let m be 14/35 + (-198)/(-5). Let o be 736/m - (-4)/(-10). What is the highest common factor of o and 27?
9
Suppose 0 = 3*p + 7 - 4, -5*p - 97 = -2*a. Calculate the highest common factor of a and 115.
23
Suppose 7 = 5*x + 5*g + 2, -3*x = -4*g + 25. Let l = 6 + x. Calculate the greatest common divisor of 21 and l.
3
Let j be (-4)/8 + 23/2. Suppose -4*n - 27 = -d, -3*d + 2*d = 3*n - 62. Let g = d - j. What is the highest common divisor of g and 24?
12
Let h(j) = 2*j**2 + 7*j - 1 - 7*j + 59*j**3. Let z be h(1). Calculate the highest common divisor of 15 and z.
15
Let s(b) = -b**3 + 12*b**2 + 13*b + 12. Let k(c) = -2*c + 3. Let w be k(-5). Let v be s(w). Calculate the greatest common divisor of 8 and v.
4
Let f = 41 - 40. Calculate the greatest common factor of f and 4.
1
Suppose -6*a + 672 = -0*a. Calculate the highest common factor of 16 and a.
16
Let x(m) = -5*m**3 + 2*m**2 + 7. Let h be x(-3). Suppose 4*o + 0*o - h = 0. Calculate the highest common factor of 60 and o.
20
Suppose -o + 4*s + 16 = -0*o, -3*o = -3*s - 21. Suppose u + o*u - 300 = 0. What is the highest common divisor of 12 and u?
12
Let i = -32 - 0. Let h = -12 - i. Calculate the greatest common divisor of h and 8.
4
Let t(l) = 85 - 85 + 17*l**2 + 2*l. Let p be t(2). What is the highest common factor of p and 9?
9
Let j(u) = u + 13. Let m be j(-11). Let q(h) = -3*h + 13 - 3*h - m*h + 7*h. Let o be q(0). Calculate the greatest common factor of o and 52.
13
Suppose -2 = -3*b + 4. Suppose -178 = -4*g - 2*f, -188 = -4*g - 6*f + b*f. Suppose -g = -5*w + 18. What is the greatest common divisor of w and 24?
12
Let q(g) = -g - 4. Let p be q(-7). Calculate the highest common divisor of p and 21.
3
Suppose -3*n = -0*n - 54. Let u = -11 + 14. Suppose u*o - 540 = -0*o. Calculate the greatest common divisor of n and o.
18
Let p(u) = -5*u - 1. Let d be p(-1). What is the greatest common factor of d and 28?
4
Let y(a) = a**2 - a + 75. Let b be y(0). What is the highest common factor of b and 30?
15
Let g = -1 - -28. Calculate the greatest common divisor of g and 18.
9
Suppose -3*x + 8 = x, 5*w - 5*x = 785. Suppose 5*k - 2*u = -0*u + 272, -3*u = 3*k - w. Calculate the highest common divisor of k and 18.
18
Suppose 279 = 7*y - 6*y. What is the greatest common divisor of y and 31?
31
Let k be (-2)/6 + 172/12. Suppose -b = b - k. Suppose 3*t - 3*p + 5*p - 63 = 0, -t + 5*p = -21. What is the greatest common factor of t and b?
7
Let h be -2 + 28 - ((-2)/(-2) + -1). Calculate the greatest common divisor of h and 65.
13
Suppose 5*r = 4*i + 178, 2*i + 129 = 3*r + 7*i. What is the greatest common divisor of 2 and r?
2
Suppose 0 = -3*l + s + 2*s + 153, 2*l + 2*s = 90. Calculate the highest common factor of 32 and l.
16
Suppose -5*h = 5*l - 35, -12 = 2*h + 2*h. What is the greatest common factor of l and 50?
10
Let d = 11 - -4. Suppose -4*p + 4*q = -36, -5*p + q + d + 10 = 0. Suppose p*o = o - t + 124, -2*t = 4. What is the greatest common factor of o and 6?
6
Let s(r) = -r**2 - 9*r - 11. Let c be 3 - 3/(3/8). Let x be s(c). Calculate the highest common divisor of 63 and x.
9
Let c be (-134)/(-10) + 2/(-5). Let r be ((-234)/15)/(6/(-140)). Suppose -4*q = -0*q - r. What is the highest common factor of q and c?
13
Let i(b) = -16*b + 16. Let g be i(-5). Let v = -8 - -14. Let p be v*4*2/4. What is the greatest common factor of p and g?
12
Suppose -4*i + 177 = -3*u, 0 = -0*i + 2*i + u - 91. What is the highest common factor of i and 9?
9
Let j(b) = -2 + 0*b - 2*b + 3*b + 14*b**2. Let s be j(2). Suppose r - 8 = 3*r, 30 = a - 4*r. What is the highest common divisor of s and a?
14
Let l(v) = -10*v**2 + 3*v - 2. Let k be l(2). Let j = 90 + k. What is the highest common factor of j and 135?
27
Let o(k) = -k**3 - 6*k**2 + 2*k - 4. Let u be o(-7). Suppose -u = -3*f + b, 6*b = -f + 3*b + 17. Calculate the greatest common factor of f and 55.
11
Suppose -5*q = -2*q - 18. Calculate the highest common factor of 6 and q.
6
Suppose 0*t + t = 5*p - 21, 2*t + 4*p - 28 = 0. Let d = -6 + 4. Let h be (-5 + 4)*0 - d. What is the highest common divisor of t and h?
2
Let i = -47 - -59. Calculate the highest common divisor of i and 132.
12
Let t = 52 - 15. Suppose 4*m - t = -3*k, -4*k - 29 = -5*m - 2*k. Calculate the highest common factor of 1 and m.
1
Suppose -5*s - 5*f = -21 - 94, 0 = 3*s - f - 73. Suppose 3*n = -5*m + 183, -3*m = -3*n - 0*n - 105. Calculate the greatest common factor of m and s.
12
Suppose -1020 = 