
Suppose -18*d + b - 303 = -17*d, -3*b - 1198 = 4*d. Let x = d - -377. Calculate the highest common divisor of x and 19.
19
Let h(v) = 9*v**3 - 2*v**2 - 30*v - 9. Let s be h(9). What is the greatest common divisor of s and 120?
120
Suppose v - 4997 - 6331 = -23*v. Let b(h) = -2*h**3 + 3*h**2 + 3*h + 13. Let k be b(-4). Calculate the highest common divisor of v and k.
59
Let o be 6 + -6 + 0 + (-3 - -1). Let q(j) = -5*j**3 + j**2 + 3*j - 2. Let x be q(o). Suppose 28*b - x = 26*b. What is the greatest common divisor of 12 and b?
6
Suppose 0 = 50*n - 47*n + y - 774, -3*y = 13*n - 3346. Suppose -3*s = -2*s - 16. What is the highest common divisor of s and n?
16
Let o(a) = -103*a + 499. Let u be o(-28). What is the highest common divisor of u and 2189?
199
Suppose h - 8 = -4*b, 4*h + 19 = b - 0*h. Let s = b - 135. Let t = 294 + s. Calculate the highest common factor of 18 and t.
18
Let o be (-13 - -3)/130 + 470/26. What is the highest common divisor of 1098 and o?
18
Suppose 0*b + b - 157 = 0. Suppose 5*w = -1 + 26, -3*p + w + b = 0. Suppose 0 = 6*s + s - 567. What is the highest common divisor of p and s?
27
Suppose 2*s = -b + 23349, 4*s + 3*b - 31989 - 14708 = 0. What is the highest common divisor of 25 and s?
25
Let g = 839 - 809. Suppose 7*h + 667 = g*h. Calculate the highest common divisor of 377 and h.
29
Suppose -3*f = 5*n - 431 - 285, f + 4*n - 248 = 0. What is the greatest common divisor of f and 1450?
58
Let y = -40065 - -40227. What is the highest common factor of 8208 and y?
54
Let b = -2452 + 2462. Let z(m) = -42*m - 2. Let d(o) = 21*o + 1. Let q(u) = -7*d(u) - 3*z(u). Let c be q(-1). Calculate the greatest common divisor of c and b.
10
Let x be 30 - (-2 + 0 - 0). Suppose -5*y = -w + 21 - 5, -2*w = 4*y - x. Let q be ((w/3)/(-4))/((-7)/609). What is the highest common divisor of q and 29?
29
Suppose 226*d = -5*g + 223*d + 1722, d + 1364 = 4*g. Calculate the highest common factor of g and 6327.
171
Suppose -2*c + 6*c = 8. Suppose 3*u = c*u - 2*w + 4, -5*u + 50 = 4*w. Let o(r) = 622*r - 14271. Let h be o(23). What is the greatest common divisor of u and h?
7
Suppose 5*x = -2*y + 115, 5*y - 285 = -3*x + 12. Let a = -58 + y. Let t(f) = 18*f - 134. Let c be t(8). Calculate the highest common divisor of a and c.
2
Suppose -17*f - 1197 = -10*f. Let j = 253 + f. Calculate the highest common divisor of 2 and j.
2
Suppose -5*u + 9*u = 0. Suppose u = 3*b - 2*t - 3165, -7*t - 12 = -3*t. Suppose 13*w = 923 + b. What is the highest common factor of 38 and w?
38
Let t(v) = 19*v**2 - 19*v - 58. Let s be t(-3). Suppose 0 = 3*z - 4*q - 150, -5*q - 169 = -2*z - 69. Calculate the greatest common divisor of s and z.
10
Let a be ((-459)/(-26) - (-12)/(-78))*26. Let o = a - 345. What is the greatest common factor of 66 and o?
22
Let q = -2501 - -2512. What is the highest common divisor of 407 and q?
11
Let b(a) = 2*a**2 - 29*a + 19. Let f be b(14). Suppose 0 = -f*d + 234 + 371. Let g(l) = -l + 6. Let v be g(-5). What is the greatest common divisor of v and d?
11
Suppose -88*o + 97*o - 135 = 0. Let w be (10 - 7)/o - 1527/(-15). Calculate the highest common divisor of w and 238.
34
Let x = 1 - -1. Let b = 20069 + -20057. What is the highest common divisor of x and b?
2
Let c = 13262 - 8179. What is the greatest common factor of 663 and c?
221
Suppose 2*q + 2*a + 20 = -0*a, 0 = -2*q - a - 15. Let b be ((-2)/(-5))/(q/50). Let g be (-30)/b*408/36. Calculate the greatest common divisor of g and 51.
17
Let y be -3*(-41)/1 - 2. Let a = y + -109. Suppose -3*s = -7*i + 8*i - a, -2*i = -2*s - 16. What is the highest common factor of i and 3?
3
Let z(g) = 16*g - 9. Let v be z(-10). Let w = v - -184. What is the highest common factor of w and 30?
15
Suppose -92*r = -803 - 669. Let z(f) = f**3 - 8*f**2 + 6*f + 10. Let a be z(7). Suppose -2*t + 640 = a*t. What is the greatest common divisor of t and r?
16
Let n(x) = 4*x**3 + 4*x**2 - x + 4. Let k be n(3). Let d(r) = -24*r + 485. Let o be d(20). What is the greatest common divisor of o and k?
5
Suppose -9*s + 10374 = 134*s + 39*s. What is the highest common factor of 741 and s?
57
Let y be 5/90*220 + 6/(-27). Suppose -2*p - 34 = -2*o, o = -3*o + 5*p + 67. What is the highest common divisor of y and o?
6
Let x(r) = -3*r + 21. Let h be x(-14). Let b = h + -12. Suppose 0 = -0*c + c - 3*y - 77, 0 = 4*c + 5*y - 257. Calculate the greatest common factor of c and b.
17
Let k be -31 + 56 - (-1)/(3/(-21)). What is the highest common divisor of 2358 and k?
18
Let c = 74 - -19. Let i be 13 + -8 + -6 - (1 - 86). Suppose -15*z + 846 = -i. What is the highest common factor of z and c?
31
Let w(r) = -58*r**2 - 2*r - 1. Let a be w(-1). Let p = a - -122. Let s = -3479 + 3505. What is the highest common factor of p and s?
13
Suppose -1117*r + 1118*r = -u, -5*u + 20 = r. Suppose -3*w + 1 = -3*p + 37, p = 5*w + 20. Calculate the greatest common factor of p and u.
5
Let h(j) = 7*j**2 - j + 19. Let n be h(6). Let t = n + -210. What is the highest common divisor of t and 154?
11
Let y be ((-6)/(-10))/(-8 - 28937/(-3610)). Suppose 3*i = -i + 228. What is the greatest common divisor of y and i?
19
Suppose 4*n = 3*i - 30, -i = 3*i - 4*n - 40. Let y be 44/i*(-10)/(-1). What is the greatest common factor of 396 and y?
44
Let j be 4 - (-48)/(-9)*-30. What is the greatest common divisor of 246 and j?
82
Let p be 11/(((-2)/(-32))/1). Let i = -235 + 355. Suppose 11*z - 122 = i. What is the greatest common divisor of p and z?
22
Let j be ((-108)/(-30))/6 + 17/5. Suppose -3*i - j*i = -49. Let s be 2*1 + (20 - (i - 5)). Calculate the greatest common divisor of s and 80.
20
Let o be 2546/10 - 180/(-450). What is the highest common divisor of o and 1581?
51
Let v = -257 + 705. Calculate the highest common divisor of 210 and v.
14
Let v = 332 + -62. Suppose -45*d + 30*d = -v. What is the greatest common factor of d and 63?
9
Let a = 88 + -85. Suppose -a*w + 0*w = 0. Suppose 4*u - 2*x - 360 = w, -u = 3*u - 5*x - 372. Calculate the highest common divisor of u and 11.
11
Suppose -127*y + 135*y = 48. Suppose -y*w - 25 = -5*o - 11*w, 4*w = 5*o + 2. Calculate the highest common divisor of o and 1.
1
Let k(u) = u**2 - 67*u + 346. Let l be k(5). What is the greatest common factor of l and 4500?
36
Suppose 5*p + 39*y = 44*y + 75, 0 = -2*p - y + 9. Suppose 19 + 1 = -2*w. Let g be 4/w + 88/20. What is the greatest common factor of p and g?
4
Let y = 5854 - 3854. Calculate the highest common divisor of 16 and y.
16
Let z be (664/40 - 23)*10/(-4). Calculate the greatest common divisor of 80 and z.
16
Suppose 5*x + m = 4*m + 16, 0 = -3*x - 2*m + 21. Suppose 0 = 11*a - x*a - 72. Let y be 2492/12 - (-4)/a. Calculate the highest common factor of y and 26.
26
Let q = 770 - 1418. Let v(t) = -8*t**2 + 15*t + 5. Let h be v(-10). Let f = q - h. What is the greatest common divisor of 27 and f?
27
Suppose -49*o - 46*o + 184 = -3*o. What is the highest common divisor of 337 and o?
1
Let g be 16*(14 + -4)/5. Let l be 94/(-8) + 6/8. Let y(r) = -r**2 - 14*r - 25. Let q be y(l). What is the greatest common divisor of g and q?
8
Let a(l) = -15*l - 9. Let u be a(-3). Suppose 4*w - 17 = -f, 1 = 5*w + 4*f - 23. What is the greatest common factor of w and u?
4
Let v(z) = 2*z**3 - 3*z**2 - 14*z + 12. Let k be v(5). Suppose 3*r - 4*y + 0 = k, -r = -2*y - 41. What is the greatest common divisor of 84 and r?
7
Let j = -18 + 52. Let f = -21 - -621. Suppose 0 = -3*v - 4*s + 294, 4*v - f = 3*s - 183. What is the greatest common divisor of v and j?
34
Let j(i) = -6*i**2 + 76*i - 228. Let d be j(6). Calculate the greatest common divisor of d and 32.
4
Let u(z) = 37*z - 35*z - 33 + 142*z. Let y be u(3). Let s be 58 - ((-1 - 1) + 3). What is the greatest common divisor of s and y?
57
Suppose -5*a = -3*d + 10, -4*d = a - 2*d + 2. Let t be (a - -3)/((-12)/(-24)). Calculate the greatest common divisor of 38 and t.
2
Let a(f) = 4*f + 40. Suppose -5*w = y + 14, -5*w + 35 = 5*y - w. Let p be a(y). What is the highest common factor of p and 28?
28
Let u(f) be the third derivative of -f**6/120 + f**5/4 - 7*f**4/24 - 19*f**3/2 - 2*f**2 - 30*f. Let h be u(14). What is the greatest common factor of 943 and h?
41
Let u be 126/18 + (3 - -1). Let p be (-2 - 8/(-5)) + (-28177)/95. Let q = p + 418. Calculate the highe