
12
Let d = 1209 - 833. Calculate the greatest common divisor of d and 12.
4
Let n = 438 - 15. Suppose 5*y + 21 = 2*p, 13*p = 18*p - 4*y - 78. What is the greatest common divisor of p and n?
9
Suppose -15 = -5*q, 3*m - q + 4*q = 873. Suppose 22*k - 1648 = m. Let l = -6 - -17. What is the greatest common divisor of l and k?
11
Suppose -324*p + 66*p = -1548. What is the highest common divisor of p and 612?
6
Let i be (-3)/(-3)*(-43 + 683). Calculate the greatest common factor of i and 64.
64
Let x be (4 + 20/(-6))*153 - 6. Calculate the greatest common divisor of 1284 and x.
12
Let r be 5664/480 + (-2 - (-33)/15). Suppose 6*o - 5*g - 40 = 4*o, -51 = -3*o + 3*g. What is the highest common factor of o and r?
3
Suppose 0 = 1620*z - 1633*z + 49933. Calculate the greatest common divisor of 92 and z.
23
Suppose -3*x = q - 6622 - 6505, -x - 2*q = -4384. Calculate the greatest common divisor of 27 and x.
27
Let m = 30 - 57. Let s = m - -141. What is the greatest common factor of 171 and s?
57
Suppose 11206 = -53*n + 45921. Calculate the greatest common factor of 65 and n.
5
Let i be 29/((-2088)/(-351))*24. What is the highest common factor of 5265 and i?
117
Suppose 2*a + 38 = 48. Suppose -86 = -4*u + a*v, 114 = -6*u + 11*u - 3*v. Let t be 37/3 + 2/(-6). What is the highest common factor of u and t?
12
Let g be 36/45 - 8/10. Suppose -7*h - 42*h + 1225 = g. What is the greatest common divisor of 100 and h?
25
Let j be (36/6 - 16)*(-44)/10. Suppose -162*p = -160*p - j. Suppose 3*t + 2*g + 14 = -2*g, 5*t + 15 = -5*g. What is the highest common factor of p and t?
2
Let w(n) = -n**2 - 6*n + 511. Let k be w(-19). What is the highest common divisor of 117 and k?
3
Suppose 0 = 2010*b - 2009*b + 4*f - 5769, 5*b = -2*f + 28737. What is the greatest common factor of 15 and b?
15
Suppose -75*j + 22*j + 515 = -121. Calculate the highest common divisor of 3207 and j.
3
Let g(p) = 27*p**2 + 2*p + 13. Let h be g(4). Let n = -440 + h. Let k(s) = -5*s - 4. Let c be k(-6). What is the greatest common factor of c and n?
13
Let g be 74*((-11)/(-9) - 36/162). Let y = g - 56. What is the highest common factor of y and 24?
6
Let p(v) = -16*v - 64. Suppose -9*x + 5*c = -5*x + 57, 0 = x + c + 12. Let z be p(x). Calculate the greatest common factor of z and 9.
9
Suppose 0 = -3*a - 5*f - 707, -4*f = a - 6*a - 1203. Let h = -237 - a. Calculate the highest common factor of h and 1.
1
Let y be (-30)/(-8) + (-17)/(-4) + -4. Let v be ((-6)/y)/(-8 + (-7205)/(-902)). What is the greatest common factor of v and 41?
41
Let x be 66/(-44) + (-155)/(-2). What is the highest common divisor of 2622 and x?
38
Suppose 12*w - 8*w - 104 = 0. Let h be -20*w/65*(0 + 10). Let z be (-1)/2*(h - -26). What is the greatest common divisor of z and 27?
27
Suppose -2*q = -3*u - 180, 19*u + 204 = 2*q + 22*u. What is the highest common divisor of q and 654?
6
Let g(l) = 2*l - 21. Let m = -10 - -23. Let n be g(m). Let b be 198/5 + -4*(-5)/50. Calculate the highest common divisor of b and n.
5
Let i(s) = -5*s**3 + 214*s**2 + 166*s - 117. Let z be i(43). What is the greatest common factor of z and 72?
12
Suppose 2*a - 4*z = 16, 0 = -a + 4*a - 5*z - 23. Suppose -15*r + 117 = -a*r. Suppose -5*v = -2 - r. Calculate the highest common factor of 24 and v.
3
Let g(n) = -n**3 + n**2 - 3*n + 24. Let o be g(-8). Let j be (-2 + 3)/(2 + (-1244)/o). Calculate the highest common divisor of j and 39.
39
Let s = 43 - 23. Suppose -s = -2*p - 6. Let r = -10 + 17. What is the greatest common factor of p and r?
7
Suppose x = 4*x - 378. Let p(u) = -45*u - 2. Let k be p(-2). Let w = k - 70. What is the greatest common factor of w and x?
18
Suppose -b - 2 = 2*d, -5*b + 25 = 329*d - 326*d. Calculate the highest common factor of 13944 and b.
8
Let v be 159*10/6 - 6. Suppose 0*q - v = -5*d - q, -d + 2*q = -54. Calculate the highest common divisor of d and 143.
13
Suppose 65*i - 75 = 40*i. Let c be (-18)/(((-2)/(-129))/((-1)/i)). What is the highest common divisor of 43 and c?
43
Let d(j) = j**3 - 37*j**2 + 39*j - 84. Suppose -2*z + 149 = 77. Let v be d(z). What is the greatest common divisor of 84 and v?
12
Suppose -4*m + 92 = 2*y, -2*y = -0*m + 2*m - 48. Let v be ((-15)/6 - 207/(-126))*-7. Suppose -v*x + 32 + m = 0. What is the highest common factor of x and 12?
3
Suppose -2*x - 12320 = -24*x. Let m = -511 + x. Calculate the greatest common divisor of m and 637.
49
Suppose -57*g + 740 = -20*g. Let y(c) = 3*c**2 + 8*c + 5. Let k be y(-5). Calculate the highest common divisor of k and g.
20
Suppose -25*i + 4*i + 3782 = 40*i. What is the greatest common factor of i and 4774?
62
Suppose 20*y - 110*y + 5726 = 1676. Calculate the greatest common factor of y and 1143.
9
Let k be 24/(-30)*5 + 917. What is the greatest common factor of 1411 and k?
83
Let g = 72 + -73. Let a be -3*(-2 + 6/9) + g. Suppose -2*n = -25 + a. Calculate the highest common factor of n and 33.
11
Suppose -14*g - 9 = -17*g. Suppose 0 = -2*s - 3*s - 4*k - 2, -g*k - 7 = s. Let t(i) = 74*i - 4. Let l be t(s). Calculate the greatest common factor of 18 and l.
18
Let n be (-1*1)/((-15)/75). Let p be (-1 - 0) + n/(10/442). Let x be (8 + 1)/(10/p). What is the greatest common factor of x and 18?
18
Suppose 3*v = -3*u + 84, -3*v + 24 = u - v. Let z = 40 - u. Calculate the highest common factor of z and 6.
2
Suppose -66*t = 18205 - 125479 - 102870. Calculate the highest common divisor of t and 199.
199
Suppose -13901*n - 59535 = -13964*n. Calculate the greatest common factor of 7938 and n.
189
Suppose -4*h - 3*l - 2 = 0, 5*h - l = -6*l. Let r(c) = 2 + 3*c**2 + 0*c**2 - 11*c + 14*c. Let q be r(h). Calculate the highest common divisor of 24 and q.
8
Suppose 5*x = -4*z + 19 + 29, 2*z - 2*x = 24. Let r be 1 + (24 - (-4)/2). Suppose 0 = -24*u + r*u - 18. What is the highest common factor of u and z?
6
Let a(k) = 103*k**2 - 64*k - 189. Let y be a(-3). What is the greatest common divisor of 30 and y?
30
Suppose 0*x - 2*x = -16. Suppose 78*t - 5712 = 27*t. Suppose -t = -x*l + l. What is the greatest common divisor of 16 and l?
16
Let v be ((-594)/(-55) - 10)/(-1 + 16/15). What is the highest common divisor of 1668 and v?
12
Let s = 4174 + -4164. Suppose -22 = 2*i - 4*i. Suppose -12*c + i*c = -s. What is the greatest common factor of 15 and c?
5
Let v = 7579 + -7531. Calculate the greatest common divisor of 3624 and v.
24
Let f = 124 - 54. Let n(v) = -12*v - 104. Let r be n(-8). Let j be ((-102)/4)/(12/r) + 3. What is the highest common divisor of f and j?
10
Let c = 8189 + -8169. Calculate the greatest common divisor of c and 1045.
5
Let i = -3017 + 3039. What is the greatest common divisor of i and 825?
11
Let m(a) = -99*a + 1791. Let p be m(18). Calculate the highest common divisor of p and 3681.
9
Let x(y) = y**3 - 11*y**2 - 6*y + 11. Let u be x(11). Let b = 55 + u. Suppose b*q + 28 = q. Calculate the highest common divisor of 7 and q.
7
Let d be 434/4 + (-2)/4. Suppose -12*b = -28*b + 5312. Suppose -327*l + b*l - 60 = 0. What is the highest common divisor of d and l?
12
Suppose 43*y - 44*y + 5 = 0. Suppose 3*z = 4*j + 103, y*j + 6 = 8*j. What is the highest common factor of 37 and z?
37
Suppose 0 = -t - 2083*a + 2086*a + 213, -4*t + 951 = -a. Suppose 15 + 17 = 4*m. Calculate the highest common factor of m and t.
8
Suppose -16*f + f = 37*f - 103532. Calculate the highest common factor of f and 4525.
181
Let y(s) = s**3 - 2*s**2 + 4*s + 13. Let r be y(7). Let x be ((-93)/(-9) - 3)*3. Calculate the greatest common divisor of r and x.
22
Let g = 3857 + 2659. Calculate the greatest common factor of 36 and g.
36
Suppose 2*m - 5*z = -11 - 5, 4*m = 2*z. Let x be ((-2)/(-4))/(m/432). Suppose 0 = -3*n + n + 144. Calculate the greatest common factor of x and n.
36
Let g = 1758 + -1003. Suppose v + 5*t = 133, -3*v + g = 2*v - 5*t. Calculate the greatest common factor of 111 and v.
37
Let s be 120/(((-1)/(-2))/((-82)/(-246))). Calculate the greatest common factor of s and 11240.
40
Suppose -55*m + 14586 = -4*m. Suppose -2*t + 64 = 12. Calculate the greatest common divisor of m and t.
26
Suppose 4*w + 16 = 0, 24*o = 22*o - 4*w - 10. Let p be 5*8/o*12. Calculate the highest common divisor of p and 16.
16
Suppose 0 = 248*h - 149*h - 131*h + 12800. Calculate the highest common divisor of h and 496