+ a. Calculate the greatest common factor of 19 and x.
19
Let t be (-8)/(4/(-38) - 0). Let h = -52 + t. Suppose -5*r - h = -89. Calculate the greatest common divisor of 13 and r.
13
Let q be ((-6)/7)/(5/(-175)). Suppose 42 = 5*m + 4*y, -3*m + 9 = y - 4*y. What is the greatest common factor of m and q?
6
Suppose -m - 6 = -14. Let z(c) = c**3 + 5*c**2 - 7*c + 6. Let i be z(-6). Calculate the highest common divisor of i and m.
4
Suppose -346 - 21 = -3*d - k, 5*k - 482 = -4*d. Suppose -157 = -4*q + d. What is the greatest common factor of 10 and q?
10
Suppose 4*v + 4*y = 52, 11 = -v + 2*y + 3*y. Suppose a + v + 6 = 2*i, 3*i - 26 = 5*a. What is the greatest common divisor of 7 and i?
7
Let m(j) = -14*j - 7. Let c be m(-8). What is the highest common divisor of c and 15?
15
Let z be 4/6 + (-8)/3. Let f be 8 + (-2 - z - -1). Let d = 17 - f. Calculate the highest common factor of 16 and d.
8
Let o(y) = 5*y - 3. Let g be o(3). Let z(f) = -31*f**3 - 1. Let n be z(-1). Suppose 0 = 5*i - 0*i - n. Calculate the highest common factor of g and i.
6
Let r = -12 + 16. Suppose -r*s + 32 - 1 = 3*n, 2*s - 13 = -n. What is the greatest common factor of 6 and s?
2
Let a = 73 + -39. Suppose -2*b = 3*m - 102, -2*b = -4*b + 3*m + 102. What is the greatest common factor of b and a?
17
Let p be (3 + -142)*1 - -1. Let g be p/(-12) + (-2)/(-4). What is the greatest common divisor of 30 and g?
6
Suppose -2*c - 81 = -0*c + p, -4*c - 161 = p. Let d = 139 + c. Suppose -f - 44 = -5*f. Calculate the highest common divisor of f and d.
11
Let i(a) = a**3 - 38*a**2 - 79*a - 30. Let u be i(40). Suppose 2*t + t = -15, x = 3*t + 65. Suppose -m - 4*m = -x. What is the highest common factor of m and u?
10
Let r be 1/(-1*(-1)/23). Let j be (-6)/(-12)*(48 + -2). What is the highest common divisor of j and r?
23
Let s(p) be the third derivative of 9*p**4/8 + p**3/3 - p**2. Let q be s(4). Calculate the highest common divisor of q and 10.
10
Suppose 0 = -k - 5*s + 23 - 3, 22 = 5*k - s. Suppose k*n = 7*n - 368. What is the greatest common factor of 23 and n?
23
Suppose 7*v = 8*v - 43. What is the highest common divisor of v and 86?
43
Let p be 172/8*16 + -2. What is the highest common factor of 38 and p?
38
Suppose 4*m - 18 = 7*m. Let v be (m/(3 + -2))/2. Let j be 24*(-5 - -3 - v). Calculate the highest common divisor of j and 6.
6
Suppose 0 = 4*v + 8 + 8. Let h be 71 - 2/v*2. Suppose 72 = 2*z - x, 2*z + 0*x - h = -x. What is the highest common divisor of 4 and z?
4
Suppose -2*y + 99 = 3*q - 7*y, 3*q - 99 = -y. What is the highest common factor of q and 11?
11
Suppose 95 = q + 3*b, 3*q + 4*b = 5*q - 140. Suppose -4*a + 64 = -2*a. Calculate the highest common factor of q and a.
16
Let g(p) = p**3 + 15*p**2 - p + 9. Let q be g(-15). Let j = 127 - 31. What is the highest common divisor of j and q?
24
Let p(g) = 3*g**2 - 7*g + 7. Let s be p(2). Calculate the greatest common factor of s and 5.
5
Let o be 12/30 - 23/(-5). Let f be 10/(3/(2 + 10)). Calculate the greatest common factor of f and o.
5
Suppose 0 = -0*l + 3*l - 300. What is the greatest common divisor of 40 and l?
20
Let w(u) = -u**3 - 8*u**2 + 8*u - 6. Let b be w(-9). Calculate the highest common divisor of b and 27.
3
Suppose 0 = -4*v - 9 + 49. Suppose -g + 4 + v = 0. Suppose -73 + 409 = 8*h. What is the greatest common divisor of g and h?
14
Let i = 21 + -29. Let m = i + 12. Suppose -h - 4*h = -m*c + 247, 67 = c + 4*h. What is the highest common divisor of c and 7?
7
Suppose 0 = -0*m + 4*m. Suppose 0*o - 3*o = m. Suppose o*b = 3*b - 30. Calculate the greatest common factor of 50 and b.
10
Let w(k) = -k + 1. Let v be w(-7). Suppose -3*h + 25 = 4*f, 3 = -3*h - 12. Let r be (576/30)/(3/f). What is the highest common factor of r and v?
8
Suppose 4*z - 5 = 3. Suppose -2*w = w + 4*p - 200, -z*w - p = -125. Calculate the greatest common divisor of 15 and w.
15
Let k = -7 + 11. Suppose -6*g - m + 53 = -k*g, -g - 5*m = -13. What is the highest common divisor of 4 and g?
4
Suppose v = 3*v - 20. Calculate the greatest common divisor of 80 and v.
10
Let d(q) = 2*q - 45. Let h be d(23). What is the greatest common divisor of 13 and h?
1
Suppose -5*r + r + 7 = 5*k, -4*r + 5*k - 23 = 0. Let u be r - (-2 - 3) - -5. Calculate the greatest common divisor of 16 and u.
8
Suppose -3*s + 423 = 87. Calculate the greatest common factor of s and 16.
16
Let d be 200/9 - (-4)/(-18). Suppose -11 + 165 = 14*l. Calculate the highest common divisor of l and d.
11
Suppose -14 - 160 = -2*i. Calculate the greatest common divisor of i and 58.
29
Suppose 3*h - 6*h + 135 = 0. Suppose 2*k - k = h. What is the highest common divisor of k and 15?
15
Suppose -5*i + 47 = 4*x, 5*i = 4*x - 41 - 56. Calculate the highest common divisor of x and 3.
3
Suppose 33 = 5*y - 167. What is the greatest common factor of 280 and y?
40
Let d be 1/(-1 + 40/35). Calculate the greatest common factor of d and 7.
7
Let m be 206/4 - 1*(-2)/4. Let d be (-2 - (0 - 28))/2. What is the highest common divisor of d and m?
13
Let t(r) be the first derivative of r**4/4 - 5*r**3/3 - 8*r - 2. Let d = -11 - -17. Let l be t(d). What is the greatest common factor of 14 and l?
14
Suppose 0 = 2*j + 20 - 144. What is the greatest common divisor of j and 62?
62
Suppose 5*r = 7 + 258. Suppose -2*a - 9 = -r. Suppose 3*y = 4*i - 132, 0*y - 165 = -5*i - 4*y. What is the greatest common factor of a and i?
11
Let g(l) = -l**3 - l**2 - 2*l + 152. Let p be g(0). What is the greatest common divisor of p and 8?
8
Suppose -2*y - 2*y - 1077 = -3*f, 3*y = -4*f + 1461. Calculate the highest common factor of 33 and f.
33
Let z be (252/(-16))/((-3)/12). Calculate the highest common factor of 21 and z.
21
Suppose 100 = 4*j + 4*x, -120 = -5*j - x - 11. Calculate the highest common factor of j and 168.
21
Suppose m + 12 = 4*m. Suppose m*o = 5*o - 9. What is the greatest common divisor of 9 and o?
9
Let s = -52 - -133. What is the greatest common divisor of s and 9?
9
Let i = 72 + -50. Let d = i + -6. What is the highest common divisor of d and 160?
16
Let c(r) = r + 5. Let h be c(-5). Suppose h*v = 2*v - 10. Suppose -6*k + 4*k + 33 = -3*a, 5*k = -v*a + 45. What is the highest common divisor of 24 and k?
12
Suppose 2*l - 2*u + 3*u - 15 = 0, 0 = -u + 5. Let z(n) = n**2 + 3*n + 1. Let a be z(-4). Calculate the highest common divisor of a and l.
5
Let p be 2/(-6)*-15*2. Let x(s) = -s + 16. Let f be x(p). Calculate the greatest common divisor of f and 24.
6
Suppose -2*y - s + 22 = 0, -2*s = 3*y + 2*s - 43. Calculate the highest common divisor of y and 6.
3
Let n be (21 + 0)/(2 + -1). What is the greatest common factor of n and 63?
21
Suppose -64 = -6*b + 10*b. Let h = b - -26. Calculate the highest common divisor of 10 and h.
10
Let k be 96/10 + 18/(-30). Let a = -2 + k. Calculate the highest common factor of a and 14.
7
Suppose 4*i - 439 - 61 = 0. Calculate the greatest common divisor of 50 and i.
25
Let c(p) = -p + 4. Let m = 4 + -7. Let f be c(m). Calculate the highest common factor of f and 56.
7
Let g = 0 - -5. Suppose -g*v = -1 - 14. What is the highest common divisor of v and 15?
3
Let z be (-9)/2*(-12)/18. Suppose -z*t = -27 - 18. Let a(v) = v**2 - 7*v + 10. Let c be a(7). Calculate the greatest common factor of t and c.
5
Let y(j) = j**2 + j - 5. Let n be y(-5). Let d be (n/6 - 3)*-18. Suppose b + m = d, m - 3 = 2*m. What is the highest common divisor of 72 and b?
12
Let p be (99/27)/(1/(-15)). Let a = -37 - p. What is the highest common factor of a and 9?
9
Suppose -5*v + 3 = -7. What is the highest common factor of 2 and v?
2
Let m = -2 + 4. Let f(i) = -4 - 5*i + 4*i + i + 2*i. Let g be f(9). What is the greatest common divisor of g and m?
2
Suppose -7 + 27 = -4*p. Let q = -3 - p. Calculate the greatest common factor of 18 and q.
2
Let h = 4 + -4. Suppose 0 = -2*k - 2, h*w - 2*w = 5*k - 43. Let d = -6 + w. Calculate the highest common factor of 27 and d.
9
Suppose 3*z - 2 = 4. Suppose 0 = -3*y - 0*y - 15, z*p - 3*y = 155. Calculate the highest common divisor of p and 14.
14
Let q(w) = -w**3 + 11*w**2 + 26. Let h be q(11). What is the greatest common factor of 39 and h?
13
Let v(x) = 13*x**2 - 17*x - 33. Let c be v(-4). Calculate the highest common divisor of 27 and c.
27
Let p = 45 + -23. What is the highest common divi