. Calculate the highest common divisor of q and u.
7
Suppose 12*j + 1920 = 35*j + 25*j. Let w(a) = -a**2 + 2*a + 4. Let u be w(4). Let o be 1/u - 130/(-8). Calculate the greatest common factor of o and j.
8
Let u be 273 + 1*(0 + 5). Let r = 299 - u. Calculate the highest common divisor of 189 and r.
21
Let j(g) = g**3 + 5*g**2 + 17*g + 1. Let b be j(-8). Let c = -183 - b. Suppose -8*x = -4*x - c. Calculate the highest common divisor of x and 4.
4
Let b be (-2)/(-7) - (-20736)/336. What is the greatest common factor of 1457 and b?
31
Let g(n) = n**3 + 14*n**2 + 19*n - 55. Let k be g(-11). Let m = 5 - 15. Let v = m + 19. Calculate the greatest common divisor of v and k.
9
Suppose 596 = -8*k + 2892. Let q = k - 248. What is the highest common factor of q and 299?
13
Suppose -9 = -6*x - 921. Let k be 70/3*42/(-4). Let m = x - k. What is the highest common divisor of m and 62?
31
Let o be (-43)/((-43)/445) - 1*5. Calculate the greatest common factor of o and 4312.
88
Suppose -2*g - f + 264 = 0, -2*g + 62*f - 58*f + 234 = 0. Calculate the greatest common divisor of 10449 and g.
129
Suppose 3*x - 7*x + 28 = -v + 2*v, 0 = -4*x. Let k(a) = 5*a + 2 - 3*a - 1. Let u be k(3). What is the highest common factor of u and v?
7
Suppose -3*l = 4*z - 2928, 10*z - 5*z - 3660 = -2*l. Calculate the greatest common divisor of 36 and z.
12
Let c be ((-3)/(-8))/(11/88)*785. What is the greatest common factor of c and 75?
15
Suppose 45 = 8*h + 5. Suppose o + h = 7. Suppose 8 = o*q - 0. Calculate the greatest common divisor of q and 44.
4
Let l(m) = -12*m + 424. Let v be l(33). Calculate the highest common factor of 882 and v.
14
Suppose -33*p + 1336 + 347 = 0. Calculate the greatest common factor of p and 2703.
51
Let y(p) = -p**2 - 15*p - 9. Let q be y(-7). Let u = -38623 - -39375. What is the greatest common factor of u and q?
47
Let b = -46 - -86. Suppose -24*d - 256 = -b*d. Let y(g) = 5*g - 4. Let u be y(4). Calculate the highest common factor of u and d.
16
Let p be (12/(-10))/(184/(-22080)). What is the highest common factor of 6408 and p?
72
Let i(n) = -177*n + 7412. Let f be i(41). What is the highest common divisor of 120 and f?
5
Let g(j) = -70*j - 938. Let z be g(-16). What is the highest common factor of 637 and z?
91
Let a be -32 - (-41 - (29 + -23)). Let p(r) = -r**3 + 10*r**2 - 7*r - 3. Let m be p(7). Calculate the highest common factor of m and a.
5
Suppose 19868*y - 19869*y + 928 = 0. What is the greatest common factor of y and 8?
8
Let v be ((-16)/(-12))/(-4) + (-26)/(-6). Suppose -4*r + p = 2*p - 44, 2*r - v*p = 40. Calculate the highest common factor of r and 24.
12
Let h(o) = 2*o**2 - 48*o + 51. Let x be h(23). Suppose 1 = x*k - 9. Suppose -49 = -2*r - 21. Calculate the greatest common factor of r and k.
2
Suppose -186*f + 169*f + 1071 = 0. What is the highest common factor of f and 49?
7
Let l(w) = -w**3 - 15*w**2 - 4*w - 45. Let z be l(-15). Suppose 9*s = z*s - 252. What is the greatest common factor of s and 42?
42
Suppose -5*v + 5*v = -4*v. Suppose -3*c - 3*k + 3 + 18 = v, k - 13 = -4*c. Suppose -30 + 22 = -c*h. What is the greatest common factor of 6 and h?
2
Let c(i) = -4715*i + 825. Let k be c(-3). Calculate the highest common factor of 30 and k.
30
Suppose 605*g = 304*g + 305*g - 6952. Calculate the greatest common factor of g and 66.
22
Let z be ((3 + 0)/1 + -9)*-22. Let y be z/(-231) + (201/7)/3. Calculate the greatest common divisor of y and 69.
3
Let v(b) = -325*b - 765. Let z be v(-17). What is the highest common factor of z and 56?
56
Suppose -7*u + 33*u - 4550 = 0. Let o = -127 + u. What is the greatest common factor of o and 132?
12
Let x be 2/4*44*(-2 - (-3 + 0)). What is the highest common divisor of x and 209?
11
Suppose 2*l = -4*a + 126, 289*a - 168 = 284*a - 4*l. What is the highest common divisor of 44212 and a?
28
Let d be ((-180)/(-54))/(6/(-9)). Let s be d/(-25)*-3*90/(-2). Calculate the greatest common divisor of 216 and s.
27
Let m(v) = 15*v**2 + 2*v - 2. Let n be m(1). What is the highest common factor of n and 165?
15
Suppose 0 = 4*c + 4*u + 40, 4*u = -4*c + c - 27. Let m be c*(6/(-4) - (-26)/52). Calculate the highest common factor of 403 and m.
13
Let m be (1/6)/((-126)/(-12096)). Suppose 0 = 2*o - f - 107, 4*o + 5*f - 226 = 23. Calculate the highest common factor of m and o.
8
Suppose 5*n = i - 205, 67 = 3*n + 82. Let y = -162 - -297. What is the greatest common factor of i and y?
45
Let k(p) = -p**2 + 70*p - 82. Let v be k(29). Calculate the highest common divisor of 27 and v.
27
Let i(g) = g**2 - 10*g - 199. Let s be (4 + -5)/((-198)/(-40) + -5). Let m be i(s). Calculate the highest common divisor of m and 31.
1
Suppose 4*w = 12, 3*w - 49 = -2*h + 4*w. Suppose 31*y = h*y + 105. Calculate the greatest common factor of 105 and y.
21
Let k be (17 - -1)*(-34)/(-51). Suppose -829 - 2096 = -25*j. What is the greatest common factor of k and j?
3
Let g(s) = -2*s**3 - 2*s**2 - 20*s + 70. Let n be g(-7). Calculate the highest common divisor of n and 95.
19
Let j(w) = 3*w + 85. Let o be j(-27). Let t = -28 - -16. Let i = -4 - t. Calculate the highest common factor of o and i.
4
Let f = 22242 - 20010. Calculate the highest common divisor of 189 and f.
9
Suppose 0 = -2*x - 5*w + 2511, 10*x - 2*w = 6*x + 4986. What is the highest common factor of x and 195?
39
Suppose 3*p = -2*j - j + 12, 4*j - 3*p - 23 = 0. Suppose -119*z = -10494 + 498. Suppose -z = r - 89. What is the highest common factor of j and r?
5
Let n(x) = 15*x + 11. Let s be n(-1). Let t(h) = -30*h + 34. Let a be t(s). Calculate the highest common divisor of a and 14.
14
Let a be ((-51040)/616)/(2/(-91)). Calculate the greatest common divisor of 390 and a.
130
Let z(u) = -u**3 + 37*u - 2. Let x be z(6). Suppose 80 = 8*w - x*w. Calculate the highest common factor of 180 and w.
20
Let p = 83 - 41. Suppose s + 2*j = 10 + p, -2*s = 3*j - 105. What is the greatest common divisor of s and 324?
54
Suppose -408*a + 3280 = -403*a. What is the greatest common factor of a and 1025?
41
Let z(v) = 16*v**2 - 63*v - 756. Let i be z(-10). What is the greatest common factor of i and 264?
22
Let i be ((-21)/(-28))/((-2)/8) + 311. Let o be i/(-112)*(-1 - 3). Calculate the greatest common factor of o and 451.
11
Suppose -493*q = -2356 - 602. Suppose -4*y = 3 - 31. Let k(v) = v**2 - 7*v + 2. Let l be k(y). What is the highest common divisor of q and l?
2
Suppose 2*l - 62 = -t + 83, 5*l = -t + 142. Suppose -6*d + 5*d + 49 = 0. Calculate the highest common divisor of t and d.
49
Let n = -19 - -61. Let k be (-14)/n - 302/(-6). Let v = 51 + -31. What is the highest common factor of v and k?
10
Let n(v) = -7*v**2 - 37*v + 4. Let h be n(-5). Suppose 5*q + 4*t - 178 = 0, -2*q = -h*t + 13*t - 66. Calculate the greatest common divisor of q and 2.
2
Let m be 1/(4/(-6328)*-7). Let n = m - 218. Calculate the highest common divisor of 132 and n.
4
Let y(o) = -279*o**2 + 4*o - 2. Let k be (-2)/9 + (-20)/(-9). Let w be y(k). Let d be (-8)/(-10) - w/50. What is the highest common factor of 253 and d?
23
Let q(s) = -21*s - 555. Let p be q(-28). Calculate the greatest common divisor of p and 1001.
11
Let i(x) = -x**3 + 57*x**2 - 9*x - 536. Let o be i(52). Calculate the greatest common divisor of 63 and o.
21
Let p(s) = -31*s - 386. Let l be p(-12). Let q(u) = -18*u - 112. Let v be q(l). What is the greatest common factor of 112 and v?
28
Let a = -132 - -92. Let x be (-1040)/(-18) + 1 - 24/(-108). Let t = a + x. Calculate the highest common divisor of 209 and t.
19
Suppose 0 = -5*b + n + 17, -3*b = 6*n - 5*n - 7. Let h be (52 - -14) + 1*(0 + 0). Suppose -a - h = -b*a. Calculate the highest common divisor of a and 22.
11
Let p = 5719 + -5564. What is the highest common divisor of 10 and p?
5
Let o(q) = 17*q + 2019. Let b be o(0). Suppose 7*j - b = 2013. What is the highest common divisor of 72 and j?
72
Suppose 47*r - 13*r + 19 = 495. What is the greatest common divisor of r and 287?
7
Let w = -46 - -202. Calculate the greatest common factor of 492 and w.
12
Let p = -34 - -28. Let k be -2 - -1 - (p + 3). Let t be 4/8*k*13. What is the highest common divisor of 13 and t?
13
Let r be 568/26 - (30/65)/(-3). Let a = -101 + 214. Let z = 168 - a. What is the highest common factor of r and z?
11
Let z = -71 -