-a = -2*a + m. Calculate the highest common factor of a and 7.
1
Let d(n) = -n + 8. Let w(h) = 3*h - 16. Let b(a) = 5*d(a) + 2*w(a). Let l be b(-7). Calculate the greatest common factor of 8 and l.
1
Let w(l) = 18*l**2 - 11*l - 13. Let z be w(4). What is the highest common factor of z and 21?
21
Let s(o) = -o**2 + o + 5. Let u be s(4). Suppose 4*i - 90 = 10. Let j be i/4 + u/28. Calculate the highest common factor of j and 6.
6
Suppose -3*n + 5*f = -87, 0*f + 3*f = 3*n - 81. Let m be (-4)/(-6) - (-776)/n. What is the highest common divisor of 3 and m?
3
Let p(v) = -3*v**3 + 6*v**2 + 14*v - 2. Let k be p(-3). What is the highest common divisor of k and 117?
13
Let r be (45/(-10))/((-39)/1456). Calculate the greatest common divisor of r and 560.
56
Let f = 919 - 896. What is the highest common factor of f and 1081?
23
Let z(v) = -v + 1. Let b be z(5). Let u be b/6 + 288/27. Let o be 20 - (-3)/(-12)*0. Calculate the greatest common divisor of u and o.
10
Suppose 3*k = 4*r - 2*k - 98, 3*k + 6 = 0. Let x(f) = f**2 - 5*f - 2. Let o be x(5). Let v be 7408/56 + o/7. What is the greatest common factor of v and r?
22
Let q be (-118)/(-4) - (0/4 - (-27)/(-18)). Let v = 7 + -2. Suppose 3*m = 2*f + 91, -v*f = 2*m + 20 - 87. Calculate the greatest common divisor of q and m.
31
Let q = -33 + 35. Suppose 0 = -t + 2*h + 17, 3*t - 29 = -q*h + 54. Calculate the highest common factor of 275 and t.
25
Suppose 5 = -16*f + 11*f. Let i be 13 - 4/(2/f). Let o(n) = n**3 + 6*n**2 + 3. Let c be o(-6). Calculate the greatest common divisor of c and i.
3
Suppose 2*k - 80 = -4*i, 5*i - 3*i = -4*k + 40. Suppose -75*y - 1120 = -83*y. What is the highest common divisor of i and y?
20
Let q be -3 + 25/9 - 50215/(-99). What is the greatest common factor of q and 39?
39
Let w(c) = -c**3 + 10*c**2 - 2*c + 23. Let r be w(10). Suppose h - r*h + 340 = 0. What is the greatest common divisor of 34 and h?
34
Suppose 4*f - 36 = -0*f. Let t(u) be the first derivative of 8*u**3/3 - u**2/2 + 2*u - 8. Let v be t(-2). What is the highest common divisor of f and v?
9
Let b be 2567/(-68) + (-3)/(-4). Let l = b - -93. What is the greatest common divisor of l and 28?
28
Let b(h) = 21*h + 404. Let w be b(21). Calculate the greatest common divisor of w and 26.
13
Let t(w) = w**3 + 5*w**2 + 4*w + 17. Let x be t(-4). What is the highest common factor of x and 493?
17
Let c = -1789 + 3319. What is the highest common divisor of c and 17?
17
Let h(f) = -2*f**2 - 17*f - 4. Let n be h(-8). Suppose s = n*s - 12. Calculate the greatest common divisor of s and 8.
4
Let q be -1 - 15/(-9) - 176/(-6). Let f be (-80)/30*15/(-2). Calculate the greatest common factor of f and q.
10
Suppose -4*p + 34 = -5*f, 4*p + 5*f - 21 = 3*p. Suppose 4831 = -145*b + 22376. What is the highest common divisor of p and b?
11
Suppose 25*m = 28*m - 63. Let x be (-1089)/(-77) + 1/(-7). What is the highest common factor of m and x?
7
Let n(s) = -2*s - 14. Let p be n(-11). Let k(o) = 9*o + 2*o**2 + 3*o - 8 - 5*o. Let b be k(p). What is the highest common factor of 16 and b?
16
Let q be 12/8*(-3 - 51/(-9)). Suppose 628 = 5*x - q*z, 5*x - z - 637 = -0*x. Calculate the highest common factor of x and 32.
32
Let h = 29 + -25. Suppose h*p + 2*n - 3*n = 26, -2*p = 4*n - 22. What is the greatest common factor of 63 and p?
7
Let o(g) = -g**2 - 2*g + 16. Let k = 41 + -45. Let m be o(k). Calculate the greatest common divisor of m and 40.
8
Let d = -10 - -45. Suppose 4*l = -2*j - 28, l = 5*j - j + 101. Let x = j + 38. What is the greatest common factor of d and x?
7
Let m be (-398)/(-5) - (-2)/5. Suppose -35 = -4*t + 5*y, 43*y - 51 = -5*t + 42*y. Calculate the greatest common divisor of t and m.
10
Let g = 602 - 457. Calculate the highest common divisor of g and 10.
5
Let r be 9/(-4)*(-4)/3 + 1222. Calculate the highest common factor of 25 and r.
25
Let q = -215 + 221. What is the greatest common divisor of q and 24?
6
Let w(q) = -7*q**2 - 8*q**2 - 3*q**2 + 8*q + 15*q**2 - 2. Let g be w(3). Let v = 7 + g. What is the greatest common factor of 8 and v?
2
Suppose 2*w + 3*b - 7*b = 128, -64 = -w + 5*b. What is the greatest common divisor of w and 240?
16
Suppose -5*q + 60 - 10 = 0. Let i be 304/48 + (-1 - q/(-6)). Calculate the greatest common divisor of i and 56.
7
Let a be 59/3 - (6 + -3)/(-9). Suppose 2*g - 20 - a = 4*b, -4*b = 2*g - 24. Calculate the greatest common factor of 24 and g.
8
Let v be (-1)/((1 + -3)/2)*-73. Let n = -9 - v. What is the greatest common divisor of n and 8?
8
Suppose -s - 9 = -3*n, -2*s - s - 3 = -3*n. Let a be (58*2)/(s + -1). Let y be a/6 - 3/(-9). What is the greatest common factor of y and 15?
5
Suppose 0 = 3*i - 1 + 13. Let a be ((-2)/i)/(3/18). Suppose -2*r + a*w + 144 - 42 = 0, -w = 2. What is the highest common divisor of r and 6?
6
Suppose 2*d = 4*w - 56, 0 = w + 4*d - 0*d - 32. Let p be w/(-6)*18/(-12). Let l be 90/p + (-12)/(-8). What is the greatest common factor of l and 216?
24
Let p(d) = 4*d**2 - d. Let i be p(2). Let q = -185 + 283. Calculate the greatest common divisor of i and q.
14
Let i(l) = 2*l - 1. Let p be i(-1). Let s be (p/6)/((-8)/(-144)). Let z be (-573)/s - (-4)/(-6). What is the highest common factor of 21 and z?
21
Let m be (0 + 5)/(-15)*0. Suppose 0 = -5*p - 3*g + 38 + 31, m = 5*p - 4*g - 48. Let q = 33 + -15. Calculate the greatest common factor of q and p.
6
Let j be (2*-10)/((-1)/1). Let y(n) = n**3 + 10*n**2 - 37*n + 4. Let w be y(-12). Calculate the greatest common divisor of w and j.
20
Suppose x - 1 = 0, 9*b - 38 = 7*b - 4*x. Calculate the greatest common divisor of b and 289.
17
Let q(y) = -y**3 - 4*y**2 + 4*y + 15. Let t be q(-5). Calculate the highest common factor of t and 30.
10
Let i be (5 + 45/(-10))*186. Let o = i - 49. What is the highest common divisor of o and 4?
4
Let h be 27/6 + (6 - 9/2). Let v(w) = -13*w**3 - 2*w**2 - 2*w - 1. Let t be v(-1). What is the greatest common divisor of h and t?
6
Let y(t) = t**2 - 25*t - 47. Let q be y(28). What is the greatest common divisor of 296 and q?
37
Suppose 28*w - 27*w - 32 = 0. Calculate the greatest common divisor of 432 and w.
16
Let a(l) = l**2 - 9*l - 11. Let c be a(10). Let x = c - 13. Let q be (30/7)/((-2)/x). Calculate the greatest common factor of q and 10.
10
Suppose -2*y + 26 = 2*m, 0*m + 38 = 2*y - 4*m. Calculate the greatest common factor of 65 and y.
5
Let x = 19 - 11. Suppose 0 = q - 2*c - 113, 2*q + 0*c - 226 = 3*c. Suppose 5*h = 3*h + j + q, 57 = h - j. What is the greatest common factor of h and x?
8
Suppose 0 = -2*v + 222 + 158. What is the highest common factor of v and 855?
95
Suppose y + 74 = 2*w - 63, 0 = -3*w - 4*y + 211. Calculate the greatest common factor of w and 897.
69
Suppose -5*o + 7*p - 4*p + 30 = 0, -o + 13 = -2*p. Suppose 9 = 3*m - o*z, 0 = m - 4*m + z + 7. Calculate the highest common divisor of m and 16.
2
Let n(z) = z**2 - 3*z + 16. Suppose -5*g + 4*g + 7 = 0. Let c be n(g). Calculate the greatest common factor of 22 and c.
22
Let p(l) = 8*l + 3. Let x be p(19). Calculate the greatest common factor of 31 and x.
31
Let d be (8/(-16))/((-2)/20). Suppose -t = 5*p - 200, 4*t - 569 = d*p + 231. What is the greatest common factor of 25 and t?
25
Let i = 1207 + -489. Suppose 0 = -5*m - r + i, -2*m + 2*r = -0*m - 280. What is the highest common factor of m and 13?
13
Let d(t) = -t**2 + 19*t - 17. Let h be d(19). Let s be (-3 - 1)*1 - h. What is the greatest common divisor of s and 13?
13
Let k be 2*4/(48/462). Calculate the highest common factor of k and 22.
11
Let z be (-42)/4*4/(-2). What is the greatest common factor of z and 42?
21
Let n be (-2)/((-8)/3)*-4 + 18. What is the highest common factor of 120 and n?
15
Suppose -2*c + 3*p = -45, -4*p + 0*p = c + 5. Suppose -295*t + 286*t = -27. What is the highest common factor of t and c?
3
Suppose -3*b + 30 = -2*w, -7*b + 2*b + 55 = -5*w. Let j be b*12/45 + 6/(-45). Suppose p - 6 = 8. Calculate the highest common factor of j and p.
2
Let f be 8/36 + (61/(-9))/(-1). Let l(t) = -t**3 + 9*t**2 + 3*t - 23. Let s be l(f). Let w = -17 + 29. Calculate the greatest common factor of s and w.
12
Let o = -1602 - -1638. Calculate the highest common divisor of 24 and o.
12
Let l be (-42)/(-8) + 4/(-16). Let w be (14/(-6) + 3)*3. Suppose -4*c + 18 = -0*c + y, l*