o + w. Calculate the highest common divisor of h and 10.
10
Suppose -2*o - 4 = -5*o + 2*h, 4*o + 2*h - 10 = 0. Let k be (o + (-10)/(-4) + -4)*40. Calculate the greatest common factor of 80 and k.
20
Let m = -8552 + 8617. Let r be (-4 + 2 - -2) + 13. Calculate the greatest common divisor of m and r.
13
Suppose -m - 2*u + 160 = 0, 0 = 5*m - 3*u + 7*u - 800. Suppose -19*a = -17*a - 406. Let h = a - 171. What is the greatest common divisor of m and h?
32
Let i(k) = k**2 + 4*k - 5. Let y be i(-7). Let x be (115/(-20))/((-1)/y). Suppose -2*t + x = -t. What is the greatest common divisor of t and 23?
23
Let n be (-54)/((18/(-40))/((-69)/(-460)*16)). Calculate the highest common factor of 2556 and n.
36
Let g = 2803 - 2677. What is the highest common factor of 154 and g?
14
Suppose -2718 + 2414 = -16*s. Let k be 1217/4 - 3/12. Calculate the highest common factor of s and k.
19
Suppose -5*k + 4*x + 24 = 0, 4*k + 6*x - 17 = 7*x. Suppose -4*c - 335 = -a, 3*a - 223 - 846 = -k*c. What is the highest common factor of 13 and a?
13
Suppose -80 = 4*p - 88. Suppose -4*c = -4*t - 120, 0 = -c + p*t + 3*t + 50. Calculate the greatest common factor of 125 and c.
25
Let y = 152 - 92. Let f(x) = 2*x**2 + 13*x - 37. Let s be f(3). What is the highest common divisor of s and y?
20
Suppose -68 + 17 = -3*q. Suppose 13*w = 160 - q. Suppose -6 = 5*o + 4, -3*j + 126 = 3*o. What is the greatest common divisor of j and w?
11
Suppose 825*k = 770*k - 45026 + 129176. Calculate the highest common divisor of k and 1170.
90
Let l = -3214 - -3358. Calculate the highest common factor of l and 252.
36
Let k(t) = t**3 + 10*t**2 - 4*t + 57. Let a be k(-11). Let y be ((-24)/(-14))/(5/((-5950)/a)). Calculate the highest common divisor of 6 and y.
6
Let q be (-12 - -12) + (45 - 35). Calculate the greatest common factor of 216 and q.
2
Suppose 4*b - 22 = -13*i + 11*i, 22 = -b + 5*i. Let m be (-515)/(-9) + (-8)/36. Calculate the highest common divisor of m and b.
3
Let d(p) = -123*p + 105. Let t(a) = 41*a - 35. Let q(u) = -3*d(u) - 8*t(u). Let b be q(1). What is the highest common factor of b and 24?
6
Let p be 1/17 - 3943058/(-119). What is the greatest common factor of p and 15?
15
Let t be ((-230)/2)/(16 + (-3479)/217). Calculate the greatest common divisor of 115 and t.
115
Let b(q) = 21*q + 57. Let r be b(-5). Let x be (r/20 + 8)*5. Calculate the highest common factor of x and 364.
28
Let d(r) = -1931*r + 1351. Let z be d(-3). Calculate the greatest common factor of z and 282.
94
Suppose 3*o + 4*o = 2*p - 162, 3*p - 4*o = 282. What is the highest common divisor of p and 221?
17
Suppose -2*o - 3*q + 49 = 0, 97*o + 2*q = 87*o + 362. Calculate the greatest common factor of 4465 and o.
19
Let o(u) = 109*u - 1613. Let h be o(37). What is the greatest common divisor of 10 and h?
10
Let r = 28356 + -27892. What is the highest common divisor of r and 1189?
29
Suppose -15*b - 175 = -1855. Suppose -2*u + 136 = 3*t, -4*t - 3*u + 295 = b. Calculate the greatest common divisor of t and 189.
21
Suppose 0 = -3*o + 3, 5*t + o + 3*o = 19. Suppose -t*h - 7*k + 283 = -2*k, -2*h + 4*k = -174. Calculate the highest common divisor of h and 52.
13
Let q(l) = 118*l - 247. Let j(g) = g**2 - 8*g - 4. Let o be j(9). Let z be q(o). What is the highest common divisor of 49 and z?
49
Let n(s) = -5*s - 30. Let h be n(-7). Suppose -4*p - 6 = -h*p. Suppose -6 - p = -2*g. Calculate the greatest common factor of 6 and g.
6
Suppose -2*y + 13 = 21, -4*y = -3*b + 55. Calculate the greatest common divisor of b and 377.
13
Let b(i) = -i**2 - 25*i - 19. Let r(w) = 3*w**3 - 37*w**2 + 11*w - 11. Let f be r(12). Let o be b(f). Calculate the highest common divisor of 594 and o.
27
Let d(t) = -39*t**3 + 5*t**2 + 6*t. Let p be d(-4). Let n be (-2)/6 + p/24. Suppose 18*o - 1164 = -925 + 4531. What is the greatest common factor of n and o?
53
Let g be 30/(-210) - ((-7050)/21)/(-2). Let o be (42/9)/(-1 - g/162). Calculate the highest common factor of 84 and o.
42
Let f = -17319 - -6279. Let d be f/(-150)*(-5)/(-2). What is the greatest common factor of 138 and d?
46
Suppose 7*g - 2*v = 2*g + 113, 0 = -5*g + 5*v + 125. Let j be (-287)/385 + 36/66 + (-92)/(-10). What is the greatest common divisor of g and j?
3
Let x(k) = 2*k**2 + 21*k + 50. Let z be x(-10). Let l be (34 - 2) + (0 - 2). Suppose 370 = 4*t - l. Calculate the greatest common factor of t and z.
20
Let r be -102 - (-9)/2*(-20)/30. Let l be (5/((-50)/(-4)))/((-1)/r). Let a be (12 - 16)/(1/(-7)). Calculate the greatest common factor of l and a.
14
Suppose -4*p - 17*p = -1092. Let m(i) = -i**2 - 5*i - 4. Let t be m(-4). Suppose t = -5*o + p + 328. Calculate the greatest common divisor of 38 and o.
38
Let d(x) = -3*x. Let s be d(4). Let z be (136/s*-1)/(6/9). Suppose 5*y - 2*r - 75 = 0, 3*r - z = -2. What is the highest common factor of y and 136?
17
Let m(p) be the third derivative of -5/6*p**4 + 0*p + 1/6*p**3 + 0 - 18*p**2. Let h be m(-1). What is the greatest common factor of h and 84?
21
Suppose -23796 - 500544 = -36*n. Calculate the highest common factor of 5 and n.
5
Let c be 24/(-6)*29/2. Let t = c + 85. Let u(v) = 3*v + 81. Let f be u(-24). What is the highest common divisor of t and f?
9
Suppose -3*u - 5 = -53. Let p(n) = n**3 - 8*n**2 + 9*n - 17. Let r be p(7). Let m be 15/(0 + 5)*(-2)/r. Calculate the greatest common factor of u and m.
2
Let k be (-14)/(-12)*(-7 - -13). Let l be 6/(-15)*60/(-3). Let a be (l + -16)/((-2)/14). Calculate the highest common factor of k and a.
7
Let o be (-11)/(297/(-6)) - 374/(-18). Let b be (-6)/o + 48/(-28) + 90. Let u be (33/9)/(2/6). What is the greatest common factor of b and u?
11
Let d be -1 - (-12)/10*(20 + (-20)/3). Let c be 1 - (-2)/((-2)/(-19)). What is the greatest common factor of d and c?
5
Let x = 6344 - 6342. Calculate the greatest common factor of 33 and x.
1
Let w = 10290 - 8736. What is the highest common factor of w and 294?
42
Suppose p - 36 = -2*p. Suppose -2*v - 3*o + 117 = -0*o, 35 = 5*o. What is the highest common factor of v and p?
12
Let k(f) = 4*f**3 - 61*f**2 + 159*f + 36. Let i be k(12). Calculate the greatest common divisor of 16488 and i.
72
Let g be (6 - (-138)/(-24))*8. Suppose 0 = 3*t + 2*t + 5*y - 60, -g*t - 4*y + 24 = 0. What is the greatest common divisor of t and 648?
12
Suppose 0 = -5*b - 2*j + 11200, 4*j + 1450 = -3*b + 8170. What is the greatest common factor of 175 and b?
35
Let r be 30/(4/10*5). Suppose -18*q = -r*q - 144. Let n = -8 - -14. Calculate the greatest common divisor of n and q.
6
Suppose 17*m - 5*m - 30240 = -4*m. Calculate the greatest common divisor of m and 10.
10
Let t be 172/5 + 1/(-2)*(-42)/35. Let p = -26 - -89. What is the greatest common divisor of p and t?
7
Let g(o) = o**2 + 12*o + 2. Let z(p) = 12*p + 14*p - 24*p - 46. Let j be z(17). Let c be g(j). What is the greatest common factor of c and 10?
2
Suppose 0 = -5*w + 7*w - 5*o - 9048, -w + 4539 = 5*o. What is the greatest common divisor of 7 and w?
7
Suppose 18*t - 4*w = 14*t + 1444, 5*t = 3*w + 1797. Let z = -351 + t. What is the highest common factor of 18 and z?
6
Let c = 827 + -831. Let y be 4*c/((-96)/426). What is the highest common divisor of 1633 and y?
71
Suppose -5*d = -4*m + 46, -m + 252*d - 26 = 257*d. What is the greatest common divisor of m and 106?
2
Suppose 0 = 2*k + 3*z - 7823, 4*z = -3*k + 187 + 11547. What is the highest common divisor of k and 46?
46
Let k(c) = 26*c**2 + 1370*c - 99. Let l be k(-53). Calculate the highest common factor of l and 520.
65
Suppose 2*n - 46 = 3*z, -5*n - 499 = 4*z - 545. Calculate the highest common factor of 7 and n.
7
Let v(h) = 17*h - 416. Let s(i) = 3*i**3 - 19*i**2 - 10*i + 11. Let d be s(7). Let g be v(d). What is the highest common divisor of g and 39?
13
Suppose o - 451 + 14 = -2*t, 3*t - 643 = o. Calculate the greatest common factor of 1056 and t.
24
Let l = -426 - -891. Let u = 839 - l. Let v(y) = 2*y**2 - 21*y - 164. Let p be v(-6). Calculate the greatest common factor of u and p.
34
Let w be (-1)/(-2*(-4)/(-43288)) - 6. What is the greatest common factor of 115 and w?
115
Let r = 51 - 36. Let i(x) = 2*x**2 - 11*x - 275. Let u be i(15). Calculate the greatest common factor of u and r.
5
Suppose 5*w = -t + 27, 3*w - t + 22 = 7*w. Suppose -62 + 458 = 12*q. Sup