04. Let a be (4 - 5) + (48 - -1). Calculate the greatest common divisor of a and x.
12
Suppose 5*q = 26 + 14. Suppose 2*n = 300 + q. Suppose v + 4*u + 58 = 4*v, 2*v - 3*u = 40. What is the highest common divisor of v and n?
14
Let r be (12/(-10))/(321/(-105) - -3). Let y be (-17)/(-7) + -3 - (-327)/r. Suppose 0 = -2*g + 12 + 318. Calculate the highest common factor of g and y.
15
Suppose 14*q - 10*q = -3*u + 27, -2*u - 5 = -5*q. Let p(i) = 2*i + 3. Let x be p(u). Calculate the highest common factor of x and 13.
13
Let h(z) = 44*z - 146. Suppose 5*p + 2*a = 23, -3*a + 1 = -5*p + 29. Let v be h(p). What is the highest common factor of v and 37?
37
Let f(r) = r**3 + 9*r**2 - 15*r - 29. Let p be f(-9). Let l = p - 86. What is the greatest common divisor of 20 and l?
20
Let r = 10928 - 7574. Calculate the highest common factor of 172 and r.
86
Let j = -902358 - -902360. Let d be (-2)/(-3)*6/(-2). Let i be 159/6 - d/(-4). Calculate the greatest common divisor of i and j.
2
Let o = 1441 + -1451. Let s be (8/o)/(13/(-975)*1). Let q = 67 - 37. What is the highest common divisor of q and s?
30
Let o = 1334 + -1232. What is the greatest common divisor of o and 2397?
51
Let y = -1552 + 1760. What is the greatest common factor of 72 and y?
8
Let r be (6/(-14) - 30/(-21)) + (18 - -1). What is the highest common divisor of r and 7090?
10
Suppose 0 = -8*y + 150 - 94. Suppose 19 = l + y*j - 6*j, l = 4*j + 4. What is the highest common factor of 12 and l?
4
Suppose 2*s + 1 - 31 = 0. Suppose -3*l + 132 = -393. Let n = l + -170. Calculate the greatest common divisor of n and s.
5
Let j(b) = -b**2 - 10*b + 32. Let k be j(-20). Let n = k - -203. Let s(d) = -d**3 - 4*d - 5. Let i be s(-5). Calculate the highest common divisor of i and n.
35
Let t be (-1)/(-24)*3 + -16 + 21820/32. What is the greatest common divisor of t and 162?
18
Suppose 2543 + 13275 = 22*l. Let x = -641 + l. What is the highest common divisor of 52 and x?
26
Let p be ((-5265)/30)/(-39)*(95 - -1). What is the highest common divisor of p and 702?
54
Suppose 36 = 4*x - 0*x. Let j be 60/x*(3 - 0). Suppose 12*w - 684 = -324. What is the highest common divisor of j and w?
10
Suppose 5*d - 20 = 0, 2*z - 3*d = -3*z - 12. Let v be 6 + (-9 - z) - -6. Calculate the highest common factor of 57 and v.
3
Let s = 102 + -97. Suppose 56 = 5*g - l, 0*g - g - 8 = -s*l. Suppose -13*x + g*x = -221. Calculate the highest common factor of x and 17.
17
Let y = 719 + -715. What is the greatest common divisor of y and 298?
2
Suppose 10*b + 5*b = 5*b. Suppose b = 3*s - 2*s - 5. Suppose 0 = s*u - 262 - 78. What is the highest common factor of 17 and u?
17
Suppose -13*t + 10*t - 12 = -p, 0*t = -t. What is the highest common factor of 7428 and p?
12
Let w(f) = 3*f**2 - 51*f + 29. Let q be w(17). What is the greatest common divisor of 406 and q?
29
Let a be 40/4 + 91 + -95. Calculate the greatest common factor of a and 6738.
6
Let s(v) = v**2 + 4*v - 19. Let x be s(-6). Let k be (-1 - 26)/(x + (-369)/(-54)). Calculate the highest common factor of 108 and k.
54
Let x(p) = -19*p - 28*p - 12 + 41*p. Let t be x(-9). Let g(i) = -6*i**3 + i**2 - i - 6. Let j be g(-3). Calculate the greatest common factor of j and t.
42
Suppose 4*j - 3*l = 485, 89*l = -j + 86*l + 140. Calculate the greatest common divisor of j and 25.
25
Suppose -90*u + 4095 + 20897 = -2*u. Calculate the highest common factor of u and 6319.
71
Let s be 372/7 - 12*(-2)/(-168). Let y(a) = a**3 + 5*a**2 - a - 2. Let z be y(-4). Let q = s - z. Calculate the greatest common divisor of 280 and q.
35
Let s be -3 - (-2 - -2) - -8. Suppose 0 = -4*y + 5*b + s, 2*y = -4*b + 21 + 1. Suppose 3*k - 7 = 23. Calculate the greatest common factor of k and y.
5
Suppose -7*c + 79 - 16 = 0. Let p(f) = 6*f**2 - 52*f - 13. Let z be p(c). Suppose -4*l + 20 + 80 = 0. Calculate the highest common factor of l and z.
5
Suppose 3*j = 7*j. Suppose 0 = -j*n - 2*n + 36. Let k(v) = -32*v + 498. Let x be k(15). What is the greatest common factor of x and n?
18
Let y(p) = 151 - 30*p**2 - p**2 - p**3 + 7*p + 5*p - 4*p - 48. Let g be y(-32). What is the greatest common divisor of g and 67?
67
Let n = 1135 + -1131. Let j(w) = w - 2. Let q be j(2). Suppose q = -5*b + n*b + 45. Calculate the greatest common divisor of 9 and b.
9
Let p(b) = b**3 + 13*b**2 - 101*b - 1311. Let v be p(-13). What is the greatest common divisor of 8338 and v?
2
Suppose -z - 5*y = -103, -5*y - 425 = -2*z - 3*z. Suppose 3*d - z - 128 = 0. What is the greatest common factor of 9 and d?
9
Suppose 0*g - 16*g + 576 = 0. Let x = -32 + g. Let k be (0 - 126)/((-10)/x + 1). Calculate the greatest common divisor of k and 21.
21
Let a = 52 - 46. Let s be (-1)/3 - (-20)/a. Let m be (1088/s - -7) + (-2)/3. What is the highest common factor of 41 and m?
41
Let o = -56 + 122. Suppose 2*h + 36 = o. Let a = -55 + 75. Calculate the greatest common factor of a and h.
5
Suppose 2*a = -l + 9226, -3*a - 18046 = -2*l + 434. Calculate the greatest common factor of l and 152.
38
Let v = -51 - -54. Suppose -4*s + 60 = -j, v*s = 7*j - 3*j + 45. Suppose -5*g + 3*g = -2, -2*k + 3*g = -s. What is the greatest common divisor of 117 and k?
9
Suppose -110*a + 118*a - 896 = 0. Suppose 4*y = -4*y + a. What is the highest common factor of y and 49?
7
Let n be (-7)/(-2 + (1 - 0)). Suppose 3*d - k - 4 = 5, 4*k + 4 = -4*d. Suppose d*y - 1582 = -1456. Calculate the greatest common divisor of y and n.
7
Let g(s) = 3*s**3 + 37*s**2 - 23*s + 15. Let x be g(-12). Calculate the highest common factor of 135 and x.
15
Let z = 2 - -1. Suppose -l - 12 = -z*l. Let x(n) = -n**3 + 7*n**2 - 10*n - 5. Let y be x(4). Calculate the highest common factor of y and l.
3
Suppose 4*w - 2*g - 22 = 0, 0 - 25 = -4*w + 5*g. Suppose 3*x = -s - 27 + 22, 4*x = s - 9. Calculate the highest common factor of w and s.
1
Suppose m = 28*f - 23*f + 24493, m - 24458 = -2*f. What is the highest common divisor of 12 and m?
12
Suppose -9*j = 4*j - 91. Let i(t) = 2*t**2 - 16*t + 44. Let z be i(j). What is the greatest common divisor of 390 and z?
30
Let s = -4 + 7. Suppose 15*q = 534 + 456. Let d = q - 63. Calculate the greatest common factor of s and d.
3
Let s = 15 + 6. Let b = s - 19. Suppose -3*q - b*c + 29 + 26 = 0, 5*q = 2*c + 113. What is the greatest common divisor of q and 147?
21
Let j be 73/(-15) + (-14)/105 + 486/27. What is the greatest common factor of j and 104?
13
Let m = 29 + -13. Let i be (-7 - (-6 + -9) - -32) + 0. Calculate the greatest common factor of m and i.
8
Let t be (-1*(-1 + -2))/1. Suppose 0*z = t*z + 45. Let b(c) = -c**3 - 12*c**2 + 36*c + 9. Let s be b(z). Calculate the highest common factor of s and 18.
18
Suppose 25 = 5*p - y, 2*p = -0*y + y + 13. Suppose 0*w = -p*w + 1340. Suppose 38 = -f + w. What is the highest common factor of f and 27?
27
Let v(m) = -8 - 69*m + 15 - 29 - 28. Let d be v(-6). Calculate the greatest common divisor of d and 28.
28
Let r = -82459 + 82769. Let t = 24 + -14. Calculate the highest common factor of t and r.
10
Let q = 905 + -851. Let n = 2 + 1. Suppose n*a = -3*a + q. What is the greatest common divisor of 45 and a?
9
Let q = 115 - 171. Suppose 5*p - d + 4*d - 160 = 0, 4*p - 128 = 2*d. Let k be p/q - 11/(-7) - 0. Calculate the highest common factor of 4 and k.
1
Let r(m) = -241*m + 467. Let n be r(-5). What is the highest common factor of 2432 and n?
152
Let b be 785/1 + -40 + 53. What is the highest common factor of 722 and b?
38
Suppose -136 = -2*d - 4*a, -2*d - a + 72 = -64. Calculate the highest common divisor of 28 and d.
4
Suppose 2*r = 2*z + 358, -z - 104 + 629 = 3*r. What is the highest common divisor of r and 752?
16
Let a(n) = -2*n + 151. Let o be a(-33). Let z = o - 209. Calculate the greatest common factor of 88 and z.
8
Suppose 5*v + 53 = 3*d - 82, -v + 3*d = 15. Let i be (2/(-5) - 27/v)*2. Suppose 0 = 3*o + i - 28. Calculate the greatest common divisor of o and 45.
9
Let z = 1841 - 1836. Calculate the greatest common factor of z and 1285.
5
Suppose -59 = 5*x + k, -5*x - 34 = -2*x + 2*k. Let l = x - -27. Suppose 18*t - 596 = 754. What is the highest common divisor of l and t?
15
Let i(j) = j**3 + 9*j**2 - 11*j + 1. Let z be i(-9). Let w = -98 + z. Calculate the greatest common divisor of 2 and w.
2
Suppose -2*l - 1 = 59. Let i b