t q = t - 25. Calculate the highest common factor of q and 12.
4
Suppose 4*m + 4*j - 657 - 595 = 0, -4*j - 278 = -m. Let p(y) = 34*y**2 + y + 1. Let v be p(-1). Calculate the highest common divisor of m and v.
34
Suppose -5*h + 664 = -126. Suppose 4*z - 5*z = -3*a - h, -4*z + 71 = -a. Let l be (-6)/2*238/a. What is the greatest common divisor of l and 14?
14
Let i(y) = -16*y - 189. Let w be i(-21). Calculate the highest common divisor of w and 245.
49
Suppose 4*m + 3*x - 300 = 5*x, 2*m + 5*x = 150. Let q = 197 - 107. Let w be ((-1)/(-2))/(3/q). What is the highest common factor of w and m?
15
Suppose -3*i - i - 4*k = -24, 0 = 4*i + k - 15. Suppose -i*s + 3*h + 23 = -7, -4*s = -3*h - 35. What is the highest common factor of 2 and s?
1
Let h(o) = o**2 + 14*o - 10. Let c be h(-15). Suppose -t + 17 = a + 5, -a + c = 0. Let p be (135/2)/(t/14). What is the greatest common divisor of p and 15?
15
Let q = 10 - 13. Let m be 74/q*15/(-10). Suppose -5*g - 12 + m = 0. Calculate the highest common factor of 40 and g.
5
Let p(w) = -w**3 - 6*w**2 - w - 1. Let b be p(-6). Suppose -b*a = -10*a + 20. What is the greatest common divisor of 36 and a?
4
Suppose 0 = 2*p + 2*p - 144. Suppose -p + 6 = -k. Calculate the highest common divisor of 330 and k.
30
Let s be (-2)/(-7) - (-444)/14. Let k(t) = -261*t + 91. Let h be k(-1). What is the greatest common factor of s and h?
32
Let b = 84 - 84. Suppose 2*k - 3*w - 53 = 2*w, -5*w + 45 = 5*k. Suppose k*a - 10*a - 48 = b. What is the greatest common divisor of 6 and a?
6
Let c be (28/(-35))/((-12)/90). What is the highest common factor of c and 42?
6
Let k be ((-4)/1)/(6/(-15)). Let h be 3 + -1 + (34 - k). Calculate the highest common divisor of h and 13.
13
Let i(y) be the first derivative of y**4/4 + 8*y**3/3 - 13*y**2/2 - 6*y + 16. Let b be i(-9). What is the highest common factor of 40 and b?
10
Suppose 0 = -54*c + 111 + 1833. Calculate the highest common divisor of 72 and c.
36
Let c(s) = 5*s**2 - 12*s + 3. Let y be c(3). Calculate the greatest common factor of y and 2676.
12
Let v be (6 - 0)*(-2)/(-6). Let a be (8/6)/(v/45). Let i(g) = 5*g. Let p be i(4). What is the greatest common factor of a and p?
10
Suppose 88 = 4*m - 6*s + 4*s, -2*m = 5*s - 20. Let b be 8/(-10)*(m + 0)*-4. What is the greatest common factor of b and 8?
8
Let x = 60 + -35. Suppose 4*u + 5*h - 87 = -x, -u - h + 15 = 0. Calculate the greatest common divisor of 13 and u.
13
Suppose 26*a = 23*a + 24. What is the greatest common divisor of 4 and a?
4
Suppose -3*g + 8 = -2*j, 0 = 4*g - 6*g - j + 3. Let h = g + 2. Suppose -h*f - 90 = -6*f. Calculate the greatest common divisor of 18 and f.
9
Let q be ((-116)/2)/(4 + 150/(-36)). Calculate the greatest common factor of 12 and q.
12
Let p = -25 - -55. Let l be (-41)/(-2) - 15/p. What is the highest common divisor of l and 160?
20
Suppose 0 = -3*q, -3*n - 4*q + 63 = -0*n. Suppose 0 = -k - b + 14, -5*k - b + 56 = -k. Calculate the highest common factor of k and n.
7
Let y = 84 + 1250. What is the greatest common divisor of y and 29?
29
Let b be (2/4)/(2/68). Suppose b = 2*g + 3*h - 3, 2*g = h + 4. Let k be (-2)/g + (-342)/(-12). What is the highest common divisor of 7 and k?
7
Suppose a + 0*a - 21 = 4*f, -a = -3*f - 23. Suppose 5*m + 29 = 2*v, -v - 10 + a = -m. Suppose 242 = 3*t - 22. Calculate the greatest common factor of v and t.
22
Suppose 2*l - 40 = l. Suppose -5*u + 61 = 4*n, 3*n + 136 - 103 = 5*u. Calculate the highest common divisor of n and l.
4
Suppose -76 = 3*w + 107. Let u = w - -86. Let b be u/(-1)*(-9)/15. Calculate the greatest common factor of b and 5.
5
Let p be 1/(-2)*(10 - 6). Let w be (1/(3/p))/(10/(-465)). What is the greatest common factor of w and 341?
31
Suppose 4 = 3*m - 26. Suppose t = -15 + 55. What is the greatest common divisor of t and m?
10
Suppose 0 = -26*x + 23*x + 9. Let y be (-1)/((-16)/24*x/8). What is the greatest common factor of y and 28?
4
Let z be (2 - 14/6)/(7/(-294)). Suppose 0*v + z = 7*v. Calculate the greatest common factor of 4 and v.
2
Suppose 27*m - 42*m + 7560 = 0. Calculate the greatest common divisor of m and 7.
7
Let i(y) be the first derivative of 1/3*y**3 - 3/2*y**2 + 10*y - 4. Let r be i(-8). What is the highest common divisor of 14 and r?
14
Let w(u) = 18 - 8 - u + 4. Let f be w(10). Let j = -7 + 11. What is the greatest common divisor of j and f?
4
Let a be -1 + ((-120)/(-2) - -1). Suppose -13*g + 14*g = -2*q + 45, -5*q + 2*g + 126 = 0. Calculate the highest common divisor of q and a.
12
Suppose 3086 = 2*j + 9*y - 5*y, 5*j - 5*y = 7670. Calculate the greatest common divisor of 106 and j.
53
Suppose -k + 9 = -0. Let u(x) = -x**3 + 2*x**2 + 260*x - 22. Let f be u(17). Calculate the greatest common divisor of k and f.
9
Let r = 1073 - 949. Calculate the greatest common factor of r and 620.
124
Let d = 20 + -58. Let z be (14 + -4)/(1/d). Let g = z + 570. What is the greatest common divisor of 19 and g?
19
Let q(v) = v**2 + 8*v + 103. Let x be q(-7). What is the highest common divisor of 12 and x?
12
Let j be (10/15 - 1) + (-1288)/(-3). What is the greatest common divisor of j and 39?
39
Suppose 19*b = 7*b + 420. What is the greatest common divisor of 50 and b?
5
Let c be -22*-2*(-1)/(-2). Suppose -2*m = 4, -48 = -4*i - m + 3*m. What is the greatest common factor of c and i?
11
Let n be (-616)/(-21)*(-2 + (-50)/(-4)). What is the greatest common factor of 88 and n?
44
Suppose -19*k - 5130 = -38*k. Calculate the greatest common factor of 10 and k.
10
Let u = -155 - -166. Calculate the highest common factor of u and 77.
11
Suppose 3*d + 6*j - j = 33, 0 = -4*j. Let f(g) = -g**3 - g**2 + 10*g + 25. Let l be f(-4). Calculate the greatest common factor of d and l.
11
Suppose -2*y + 209 = -659. Let t = -283 + y. Suppose -n + 3*z = -t, -4*n - z + 618 = z. Calculate the highest common divisor of 14 and n.
14
Let u = 3201 + -1624. What is the highest common factor of u and 83?
83
Let f = 92 - -16. Suppose -2*s + 2*u + u = -f, 4*s = 4*u + 224. What is the highest common factor of 150 and s?
30
Suppose 2*q + 204 = 4*p - 374, -5*q = 15. What is the greatest common divisor of p and 11?
11
Suppose 2*f - 52 = 4*f. Let q be 2/6 + f/(-39). Calculate the highest common divisor of 3 and q.
1
Suppose 5*j = 5*h - 400, -2*j - 165 = -2*h + j. Let r = h - 12. What is the greatest common divisor of r and 7?
7
Let k(a) = a. Let f(h) = -18*h + 4. Let d(q) = -f(q) - 6*k(q). Let j be d(3). What is the highest common factor of 16 and j?
16
Suppose 0 = -4*m + 495 - 471. What is the greatest common divisor of m and 129?
3
Suppose -28*d + 14*d + 2912 = 0. What is the greatest common divisor of d and 364?
52
Let l(m) = -7*m + 21. Let d be l(9). Let u be 4 + (154/d - 2/(-3)). What is the highest common factor of 11 and u?
1
Suppose -22 = -12*q + 626. What is the highest common divisor of q and 42?
6
Let v be ((-22)/7)/((-208)/728). Calculate the greatest common factor of 913 and v.
11
Let q(f) = -12*f**2 + f. Let r be q(1). Suppose -o = -507 + 488. Let g = o + r. What is the highest common divisor of g and 8?
8
Let h(b) = -9*b - 4. Let g be h(-4). Let m = 3587 - 3583. Calculate the greatest common divisor of g and m.
4
Suppose 19*b = 23*b - 5*o - 3400, 0 = 3*b + o - 2531. Calculate the highest common factor of b and 13.
13
Let h(o) = -o**3 - 5*o**2 + 13*o + 3. Let n be h(-7). Calculate the greatest common factor of n and 85.
5
Suppose -7*h + 3*h = -16. Suppose h*s - 36 + 0 = 0. Suppose s - 14 = -p. Calculate the greatest common factor of p and 45.
5
Let d = 6 + -6. Let u be ((-72)/20)/(1/(-10)). Suppose 4*f - 3*f - u = d. What is the highest common divisor of f and 4?
4
Let p be (-3)/(-1*1/19). Suppose -p = -6*n + 3*n. Let y be (-3 + 5)*418/4. What is the greatest common divisor of n and y?
19
Let r = 683 - 671. What is the greatest common factor of r and 192?
12
Suppose a = 4*a. Suppose 5*y + a*y - 30 = -5*u, y - 6 = -5*u. Suppose 3 = 3*d - 42. Calculate the greatest common divisor of y and d.
3
Let b(y) = -y**2 - 40*y - 76. Let i be b(-29). Calculate the highest common divisor of 36 and i.
9
Suppose 3*k - 7 = -s - 0*s, -k + 2*s = -14. Let f = k - 2. Calculate the highest common divisor of f and 1.
1
Let i be ((-2)/4*-56)/2. What is the highest common divisor of 252 and i?
14
Let 