
8
Let y be -6 + 3 + 0 + 91. Let x be (-174)/(-11) - (-16)/y. What is the greatest common divisor of x and 16?
16
Let d be (-6)/(-24) - (-1)/(-4). Suppose 3*p + 13 = u, p - 4*u - 16 + 2 = d. Let b be (16/p)/((-2)/9). Calculate the highest common factor of b and 12.
12
Suppose 4*w = 2*j + j + 237, 3*w + 5*j - 214 = 0. Let s be w/(3 + -2) - -2. Calculate the highest common divisor of s and 13.
13
Suppose 507 = 5*v + 107. Let p be (16/(-12))/(4/(-6)). Suppose -p*o - 26 = -3*y - o, -4*y = o - 44. Calculate the highest common divisor of v and y.
10
Let m(a) be the third derivative of a**6/120 - a**5/6 + 2*a**3 - a**2. Let u be m(10). Calculate the greatest common divisor of u and 60.
12
Suppose -3*h + 189 = -0*h. Suppose -3*t = -4*t - 4*c + 27, 0 = -4*t - 4*c + 48. Calculate the highest common divisor of h and t.
7
Let k be (-3)/(-2) - (-9)/18. Calculate the greatest common factor of k and 18.
2
Suppose 0 = 5*x - 3 - 137. Suppose -29 - 6 = -2*y - 3*m, y + 5*m = x. Let f be ((-2)/4)/((-3)/234). What is the highest common divisor of y and f?
13
Let f(k) = -k - 2. Suppose -b + z + 19 = 2*b, 0 = b + 2*z + 3. Let g be f(b). Let t = g + 13. Calculate the greatest common divisor of t and 24.
6
Let g(q) = q**3 + 9*q**2 - 9*q + 7. Let y be g(-9). Calculate the highest common divisor of 8 and y.
8
Suppose 39 = 4*j - 5*w, 4*j + 3 = 3*j - 3*w. Suppose 3*k + 297 = j*k. What is the greatest common factor of 9 and k?
9
Let f be 96/(-42) - 2/(-7). Let t be (-1)/(-1)*f/2. Let p = 6 - t. What is the greatest common divisor of p and 7?
7
Let d = -102 + 154. Calculate the highest common factor of d and 78.
26
Let f(y) = -y**3 + 7*y**2 - 4*y - 8. Let r be f(5). Calculate the greatest common factor of r and 154.
22
Suppose 0 = -6*i + 105 + 255. Calculate the greatest common divisor of 24 and i.
12
Let w(v) = -47*v**3 + v**2 + v. Let j be w(-1). Let u = 81 + j. What is the highest common divisor of u and 16?
16
Let i = -37 - -39. What is the greatest common factor of i and 18?
2
Suppose 2*m = -5*p + 28, 0 = -p - p + 4*m + 16. Calculate the highest common divisor of p and 18.
6
Let l be (-40)/(-3)*(-24)/(-16). Calculate the greatest common factor of l and 30.
10
Let a = -8 + 2. Let h(o) = 3*o**2 + o + 1. Let s be h(-1). Let i = s - a. What is the greatest common divisor of 18 and i?
9
Let x = -16 + 43. Let i(d) = 7*d - 19. Let k(j) = 15*j - 39. Let c(g) = -13*i(g) + 6*k(g). Let f be c(10). Calculate the highest common divisor of f and x.
3
Suppose 0 = -47*q + 43*q + 144. Calculate the greatest common factor of q and 9.
9
Let b = -73 + 135. Suppose 4*y - 4*d - 174 = 122, y + 5*d - b = 0. Let x = -22 + 31. What is the highest common divisor of x and y?
9
Suppose -4*j + 3*g = 20, 3*j - 6 = 2*g - 5*g. Let x(o) = -4*o + 2. Let z be x(j). Calculate the highest common factor of 30 and z.
10
Let x be (-95)/((-15)/3) + -3. Let p(n) = -n**2 - 8*n + 9. Let s be p(-7). What is the greatest common factor of x and s?
16
Let h be (-7 + 0)*(-18)/(-7). Let j = 38 + h. Calculate the highest common divisor of 160 and j.
20
Suppose -2*u + 243 = 3*m + u, 213 = 3*m - 3*u. Calculate the greatest common divisor of 19 and m.
19
Suppose -2*j = -4*j + 12. Suppose 126 = 3*s + 4*s. What is the greatest common divisor of j and s?
6
Let a = 8 + -3. Let r = 28 + a. Let v(q) = -q**2 - 5*q + 3. Let s be v(-5). What is the greatest common divisor of s and r?
3
Let o(d) = 52*d + 1. Let u be o(1). Let v = u - 38. Calculate the greatest common divisor of v and 6.
3
Let t(a) = 2*a**3 - 5*a**2 + 4*a - 4. Let p be t(3). Let b = 476 + -340. What is the highest common factor of b and p?
17
Let i = -79 + 114. What is the greatest common divisor of 14 and i?
7
Suppose 2*t = 3*t - 22. Suppose 144 = 4*j - 3*u, -4*j + 2*j + 70 = -u. What is the greatest common divisor of j and t?
11
Suppose 0 = -i + 3*j, -3*i - 2*j - 1 + 12 = 0. Let c = i - -3. Suppose -3*z + c*z = 12. What is the highest common factor of z and 16?
4
Let a(q) = 15*q - 20. Let s be a(8). Calculate the greatest common divisor of 10 and s.
10
Suppose -4*h + 3*t - 121 = -5*h, 2*h = 5*t + 286. Calculate the greatest common factor of h and 19.
19
Suppose 3*a - 2*y - 113 = 0, 3*y - 7*y = 4*a - 124. Let w = -8 + 43. What is the highest common factor of a and w?
35
Suppose m - 324 = -2*m + 5*o, -m + 108 = 4*o. What is the greatest common factor of m and 12?
12
Suppose -4*w - 2*p = 6, 3*w - p - 12 = 3*p. Suppose w = 5*t - 5. What is the greatest common divisor of t and 7?
1
Suppose -33*n + 27*n = -630. What is the highest common factor of 35 and n?
35
Suppose 79*w - 83*w + 40 = 0. Calculate the greatest common factor of w and 5.
5
Let y(v) = v**3 + 4*v**2 - 2*v + 1. Let t be y(-4). Suppose 4*c + t - 33 = 0. What is the greatest common factor of c and 6?
6
Let m = -284 + 480. Let r be 2/(-1)*m/(-8). What is the greatest common divisor of r and 7?
7
Let f(j) = -j**2 + 8*j + 4. Let t be f(5). Calculate the greatest common factor of 209 and t.
19
Suppose 0 = -4*g - g + 450. Let d be g/(-25)*10/(-4). Let p = 39 + -12. What is the highest common divisor of p and d?
9
Suppose c + 5*m = 5 + 2, -3*c + m = -69. Let z be 11/55 - 164/(-5). Calculate the greatest common factor of z and c.
11
Let r be (-5)/15 + 50/6. What is the greatest common divisor of r and 2?
2
Suppose -82 = -2*s - 4*i + 2*i, 0 = 3*s + 2*i - 121. Suppose -s = -5*k - y - 11, 0 = -5*k - 4*y + 22. What is the highest common factor of k and 12?
6
Let v(d) = d**3 + 7*d**2 + 8*d + 6. Let f be v(-5). Calculate the greatest common divisor of 128 and f.
16
Suppose 2*x = -5*d + 36, 2*d - 4 = 3*x - 58. Suppose -x = -3*q - 3. Suppose -275 = -0*u - q*u. What is the highest common factor of 22 and u?
11
Let m = 9 - 8. Let i = m + 11. Calculate the greatest common factor of 24 and i.
12
Suppose 28*y = 30*y - 8. Let q be 4/6 + (-32)/(-6). What is the highest common divisor of y and q?
2
Let v(n) = n**3 + n**2 - 3*n + 1. Suppose 3*h - 9 = 4*s, -h - 3*s - 2 = -5. Let y be v(h). Calculate the greatest common divisor of 224 and y.
28
Let a be (-42)/(-12)*-1*(-4)/2. What is the greatest common divisor of 21 and a?
7
Let x be (1 - (-2 - -1)) + 0. Let k be (-7)/x*-2 + 1. Let z be (-37)/(-4) + (-2)/k. Calculate the highest common divisor of z and 9.
9
Let s = -7 - -10. Suppose s*i = a - 13, 3*a + 0*i = 2*i + 18. Suppose 87 = -a*g + 395. Calculate the greatest common divisor of g and 11.
11
Let o(g) = g**3 + 17*g**2 - 3*g - 35. Let x be o(-17). What is the greatest common divisor of x and 2?
2
Let y = -4 - -4. Suppose y*j = 4*j - 2*s - 334, -j + 80 = 3*s. Let f be j*1 + -11 + 8. What is the highest common divisor of 10 and f?
10
Let c be (-3)/(0 - -1) + 101. Suppose 4*h - c = -5*b, 3*b = -2*b + 4*h + 82. Calculate the greatest common divisor of 2 and b.
2
Let q be (-2)/(-1)*2*-1. Let c be -1*1*68/q. Let s be (204/(-9))/((-2)/15). What is the greatest common divisor of c and s?
17
Let n be 17 - 16 - (-5 + 1). What is the greatest common factor of n and 25?
5
Let d = -12 - -92. Calculate the highest common divisor of d and 20.
20
Suppose 0 = -0*h - 3*h. Suppose -v + 15 = -5*z - 5*v, h = 2*v. Let g = z + 11. Calculate the greatest common divisor of g and 72.
8
Suppose 1 = m - 0*m. Let a(o) = -27*o - 1. Let y be a(m). Let r be (-512)/y - (-2)/(-7). What is the greatest common divisor of 45 and r?
9
Let n(c) = 3*c**3 - c**2 - c. Let j be n(2). Let o be (-1 - -134) + (-8)/(-4). Suppose -4*q + o + 45 = 0. What is the greatest common factor of q and j?
9
Let k(a) = -a**3 - 9*a**2 + 3*a - 7. Let j be k(-10). What is the highest common divisor of j and 7?
7
Let w be (-14)/8*(-53 - 7). Suppose c + j = -0*c + 17, -j - 58 = -4*c. What is the highest common divisor of w and c?
15
Suppose 3*f - 4 - 14 = 0. Let c be (f/(-4))/(9/(-48)). Calculate the highest common divisor of 8 and c.
8
Let z be 10/35 + 626/14. Suppose 2*u = 5*u - t - 49, 3*u - 2*t - 44 = 0. What is the highest common divisor of u and z?
9
Let a = -7 + 15. Let v(w) = w**3 - 6*w**2 - 3*w - 8. Let y be v(7). Calculate the greatest common divisor of a and y.
4
Let m be (12 + 2 + -3)*(4 + -3). What is the greatest common divisor of 33 and m?
11
Suppose y = 2*z + 4*y - 474, 2*z = -4*y + 478. What is the greatest common divisor of 21 and z?
21
Suppose 0 = -4*s + 2*s + 6. Suppose 