1. Suppose -w*l = n*l - 112. What is the highest common divisor of 70 and l?
14
Suppose -4*h = -5*a - 82, 52 = 3*h + 16*a - 15*a. What is the greatest common factor of 18 and h?
18
Let c = 57 + -37. Suppose 2 = -2*p + 5*m, -3*p + 18 = -3*m + 6*m. Suppose -p*i = i - 25. What is the highest common factor of i and c?
5
Let n(j) = j**3 + 14*j**2 + 26*j + 1. Let q be n(-5). What is the greatest common factor of q and 216?
24
Suppose 10*w + 4*n = 5*w + 116, 4*n = -w + 20. Suppose 25 = j + 3*v, -7*j = -4*j + 5*v - 63. What is the greatest common divisor of j and w?
8
Let d be -3*1/(-9)*12. Let n be (-1)/d + (-1405)/(-4). Suppose -3*j - k = -18 - 102, 3*j - 3*k - 108 = 0. What is the highest common divisor of j and n?
39
Let j(a) = -9 - 5 + 22*a - 6 + 29 - 11. Let u be (7/(-4))/((-4)/16). Let l be j(u). What is the greatest common factor of 19 and l?
19
Suppose -3*c + 14 = m, 19 = 3*m + c - 23. Let k = -561 - -687. Calculate the highest common divisor of m and k.
14
Suppose 5*o - 15 = 0, -l = o + 4*o - 19. Let k(h) = h**2 - h + 1. Let g be k(l). What is the highest common divisor of g and 13?
13
Suppose -6*q + 7*q - 12 = 0. Let n = 125 + -39. Let i be 2/(-7) + n/7. What is the greatest common divisor of i and q?
12
Let h be (8/(-10) + 2/5)*-10. Let a be (5 - 7)*(-5 + 2). What is the greatest common divisor of h and a?
2
Suppose 0*r + 45 = -3*a + 3*r, -3*a = -5*r + 43. Let h = 10 - a. What is the greatest common factor of h and 208?
26
Let h(d) = -5*d - 2. Let o be h(-1). Suppose -5*n - 6 = 4*u - 186, 135 = o*u + 2*n. Let p be -3 + u + -1 + -1. Calculate the highest common divisor of 10 and p.
10
Let f = -19 - -23. Let o(x) = x + 2. Let u be o(-1). Calculate the greatest common factor of f and u.
1
Suppose f + 13 = -15. Let v be f/(-8)*6 - 0. Suppose 0 = -x + 4*x - v. Calculate the highest common divisor of 56 and x.
7
Let g = -2490 + 2787. Calculate the greatest common factor of g and 189.
27
Suppose 0 = -18*r + 15*r + 3519. What is the highest common factor of 51 and r?
51
Suppose 3*k - 4*u = 32, 0 = 4*u - 3 - 13. Calculate the greatest common factor of 36 and k.
4
Let s = -91 + 98. Let m = -23 + 51. Calculate the greatest common divisor of m and s.
7
Let b = -1266 - -1330. What is the highest common divisor of b and 16?
16
Let h(u) = -u**2 - 4*u + 6. Let b be h(-5). Let f be b*(-2 + (1 - -7)). Let m be (-7)/((-39)/18 + 2). Calculate the greatest common factor of m and f.
6
Suppose 1062 = 33*b - 2238. What is the highest common divisor of b and 80?
20
Let p(r) = -r**2 - 37*r - 33. Let n be p(-36). What is the highest common factor of n and 48?
3
Let t be (-3)/((-6)/20)*10. Let n be ((-20)/25)/((-4)/(-230)). Let r = -26 - n. What is the highest common divisor of t and r?
20
Let o = -7 + 178. Calculate the highest common factor of o and 9.
9
Let t be (-243)/108 + (-516)/(-16). Calculate the highest common divisor of 285 and t.
15
Let l(o) = o**2 - 8*o - 173. Let j be l(18). Calculate the greatest common factor of 1183 and j.
7
Let n(c) = 5*c. Let j be n(-11). Let k = j + 80. Suppose 5*x = 4*a + 625, 250 = 2*x + a + 2*a. What is the highest common divisor of k and x?
25
Let v = 102 - 96. Suppose v*i = -i + 7. What is the highest common divisor of 1 and i?
1
Let a = -264 + 300. Calculate the highest common divisor of 12 and a.
12
Suppose 3*p - 108 = 5*u, 2*p - 5*p + 108 = 2*u. Suppose d - 11 + 25 = y, -y = 2*d + 1. Calculate the greatest common divisor of y and p.
9
Let x(p) = -p**2 + 2*p + 10. Let k be x(7). Let a = k + 30. Suppose 0*h - 70 = -a*i - 3*h, -i - 2*h = -21. Calculate the greatest common divisor of 11 and i.
11
Suppose 0 = -2*b - a + 100, 0 = 3*a - 2*a - 2. Let z = -14 + b. Let x = z - -7. What is the highest common divisor of 14 and x?
14
Let l = 747 - 705. What is the highest common divisor of l and 231?
21
Suppose -11 = -6*m + 13. Suppose -m*h = 8*h - 576. Calculate the greatest common factor of h and 6.
6
Suppose -90 - 162 = -6*w. Let m be w/(-7)*(-5)/3. What is the greatest common divisor of m and 110?
10
Suppose -1521 = -3*n - 36*n. Let k = -116 - -467. What is the greatest common divisor of n and k?
39
Suppose 3*b - 2*f = 93, -b + 4 + 20 = -3*f. Let a = -5 + 16. What is the greatest common divisor of a and b?
11
Let u be -1 - -42 - (-7 + 1 - -5). Calculate the greatest common divisor of u and 78.
6
Suppose -x + 2 = 1, -2*u - x = -89. Suppose -3*c + 3*r + 81 = 0, 4*c = -0*c - r + 83. Calculate the highest common factor of c and u.
22
Suppose -10*y = -164 - 236. What is the greatest common divisor of y and 64?
8
Let c be 2/(-9) - (-74)/9. Let f be ((-8)/12)/(2/21). Let b = f + 15. Calculate the highest common factor of b and c.
8
Let s be (-43)/(-5) + (-2)/(-5). Suppose 4*l + 16 = 0, -5*n = 4*l - 5*l - 589. Calculate the highest common divisor of s and n.
9
Suppose -2*n + 856 = -5*r + 7*r, -n = 4*r - 416. Let c(v) = 5*v**2 + 2*v - 3. Let o be c(3). Calculate the greatest common factor of n and o.
48
Let a be -3 + -2 - 90*(-3 - -1). What is the greatest common factor of 25 and a?
25
Suppose -15*a + c + 6364 = -12*a, -4*c = -2*a + 4256. What is the highest common divisor of 40 and a?
40
Let f be 16*2*38/8. Let h = -518 - -803. Let x be (h/(-45))/(2/(-6)). Calculate the highest common divisor of x and f.
19
Let k = -7 - -551. Suppose k = -7*s + 15*s. What is the greatest common factor of s and 34?
34
Let h = -97 - -126. Suppose 0 = -4*g - n + 613 + 435, -4*n = -3*g + 767. What is the highest common factor of g and h?
29
Suppose 3*o = -15, -5*z = -4*o - 73 - 12. What is the highest common divisor of 65 and z?
13
Let c(g) = -2*g + 94. Let p be c(23). Calculate the greatest common factor of 384 and p.
48
Let f(a) = -14*a + 11. Let u be f(-4). Suppose -5*g = 5*x - 65, -x - 4*x - 3*g = -u. Calculate the greatest common factor of x and 2.
2
Let s be 12/(7/(196/8)). Let k = s + -17. Calculate the highest common divisor of k and 75.
25
Let v(w) = w**3 + 34*w**2 - 33*w + 76. Let y be v(-35). What is the highest common factor of y and 114?
6
Suppose -3*g - 5*j + 2 = 0, -2*g + g - j = -2. Suppose -g*s + 3*s - p = -18, s - 4*p = -2. Calculate the greatest common divisor of 21 and s.
7
Let t(p) = -20*p - 99. Let s be t(-5). Calculate the highest common factor of s and 1.
1
Suppose -9*l - 1041 = -1077. Calculate the highest common divisor of l and 18.
2
Let p be ((-5)/(-2))/((-1)/(-2)). Suppose 0 = p*v - v - 4*y, 3*v - y - 6 = 0. Let r be 1/3 - (-545)/v. Calculate the highest common divisor of 26 and r.
26
Let w be (-8)/10 - 176/(-20). Let f be (1 + w)/((-27)/(-18)). What is the highest common divisor of f and 15?
3
Suppose -5*o = 10, 5*w - 1 = -4*o + 1. Suppose 5*f + 3*d = 34, f = 3*f - w*d - 20. What is the greatest common divisor of f and 24?
8
Let b(x) = -x**3 + 21*x**2 - 11*x + 40. Let q be b(20). Calculate the highest common divisor of q and 60.
20
Suppose -2*n = -10*n + 64. Calculate the greatest common divisor of 46 and n.
2
Suppose -5*y - 162 = -23*y. Calculate the greatest common factor of y and 27.
9
Suppose 0 = 3*t - 34*t + 372. Suppose -5*k = -2*f - 294, 0 = -5*k - 4*f - 77 + 389. What is the highest common factor of k and t?
12
Let l be 194/5 + ((-42)/15 - -3). Suppose 0 = h + 2*h - l. What is the greatest common factor of 143 and h?
13
Suppose 18*r - 1232 = 10*r. Calculate the greatest common factor of r and 88.
22
Let q = 244 + 42. Calculate the highest common divisor of 22 and q.
22
Suppose v + 4*m = 29, -v - v + m = -13. Suppose a + v*s - 4*s = 45, -s - 183 = -3*a. Calculate the highest common factor of 36 and a.
12
Let o = 664 - 478. Calculate the greatest common divisor of o and 4.
2
Let b = 15 + 12. Suppose -2*q + 133 = -b. Suppose 0 = -3*j + 5*k + 55, 0*k + 10 = -2*k. Calculate the greatest common factor of j and q.
10
Let y(a) = 5*a**2 + 11*a + 6. Let g(p) = -p**2 - 2*p - 1. Let l(r) = -11*g(r) - 2*y(r). Let m be l(6). What is the highest common divisor of m and 5?
5
Let b(g) = 45*g**2 + 4*g - 3. Let m be b(1). Let i = -28 + m. Calculate the highest common factor of i and 45.
9
Let a be (-1588)/(-24) + -3*8/144. What is the greatest common factor of 138 and a?
6
Let b = 24 - 16. Let a be (b - 1) + -5 + 2. Suppose -r - g + 14 = -0*r, a*r = -2*g + 54. What is the highest common divisor of 13 and r?
13
Suppose m - 20 = 6*m. Let 