t z(n) = -n**2 - 8*n + 21. Let l be z(y). Let q(d) = d**3 - 7*d**2 + 2*d - 2. Let t be q(7). What is the greatest common factor of t and l?
12
Suppose 3*j - 12 - 2 = -y, 0 = y - 2*j + 11. Let k = y - -2. Let h be (-10)/(-2)*k*5. Calculate the highest common factor of h and 25.
25
Let x be 668/14 - 10/(-35). Let g be -33*56/60 - 3/15. Let r = 103 + g. What is the highest common divisor of x and r?
24
Let l be 12/180*25 - 146/(-6). What is the highest common divisor of 715 and l?
13
Let b be (-6)/(-21) - (-57)/21. Let n = 12 + b. Let h be n*(-4 + 52/3). What is the highest common factor of 40 and h?
40
Let y(s) = -7*s + 148. Let w be y(19). Suppose 13*u - 375 = 8*u. Calculate the highest common divisor of u and w.
15
Let o be -1 - (4 - 4) - -6. Suppose -o*v = -225 - 105. Suppose p = -4*z + v, -2*z - 92 = -3*p + p. Calculate the highest common divisor of p and 10.
10
Suppose 49 + 51 = -4*z. Let w be (-1 - -2)/(z/(-50)). Calculate the highest common factor of w and 32.
2
Suppose 0*c + 2*g - 40 = c, 5 = -c - 5*g. Let w = 31 + c. What is the greatest common factor of w and 7?
1
Let q be (1/(-2))/(1/(-22)). Suppose -16 + 181 = 3*i. What is the greatest common divisor of q and i?
11
Suppose 709*b - 694*b = 5145. Calculate the greatest common factor of b and 7.
7
Let d = 97 + -88. Let j = 36 - d. What is the highest common divisor of 6 and j?
3
Let b(c) = -2*c**3 - 13*c**2 - 23*c. Let q be b(-8). Calculate the greatest common divisor of q and 517.
47
Let i be (33/4)/(13/52). Let r = -32 + i. Let d be (-4)/((-16)/36)*r. What is the greatest common divisor of d and 36?
9
Let c be ((-99)/(-18))/((-1)/(-16)). Suppose 2*r - 31 = 3*u, 0*r + 26 = 2*r - 2*u. Calculate the highest common divisor of r and c.
8
Let x(a) = 2*a**3 + 4*a**2 - 2*a + 105. Let s be x(0). Calculate the highest common divisor of 63 and s.
21
Let d be (-3974)/(-3) + (-2 - (-7)/3). What is the highest common divisor of 53 and d?
53
Suppose -2*i + 18*i = 784. Suppose i = 2*o - 5*u, 24 - 4 = o + 2*u. Let r = 347 - 105. Calculate the highest common divisor of r and o.
22
Let d be -6 - 3/9*57*-1. Suppose 0*l - 234 = -2*l. Calculate the highest common divisor of l and d.
13
Suppose -4*q + y + 53 = 0, q - y - 4 = 7. What is the highest common factor of 56 and q?
14
Let a be 40/16*(-72)/(-15). Let z = 556 - 256. Suppose -b - p - 31 = -91, -3*p - z = -5*b. Calculate the greatest common factor of a and b.
12
Suppose -13 = q - 5*b, -2*q - 6 + 4 = 2*b. Suppose -5*v = 474 - 144. Let k = q - v. Calculate the greatest common divisor of 21 and k.
21
Let f(d) = 2*d**3 - 47*d**2 + 25*d + 33. Let v be f(23). What is the highest common factor of 869 and v?
79
Suppose 3*x - 2*i - 23 = 0, -x + 4*i + 0 = -1. Suppose 0 = -3*q + 83 + 160. Calculate the greatest common divisor of q and x.
9
Suppose 12*f - 11*f - 22 = 0. Let x = 35 - f. What is the greatest common divisor of x and 13?
13
Let a = -237 + 265. Calculate the greatest common factor of 756 and a.
28
Let z be (-32)/(-56) + 93/21. Suppose -3*o + j = -o - 114, -67 = -o + 3*j. Calculate the highest common factor of z and o.
5
Let u be 5*((2 - -4) + -2). Suppose 5*b - 4*y + 121 = 0, -4*y + 79 = -2*b - b. Let v = b - -41. What is the highest common factor of u and v?
20
Suppose -5*w = -z - 290 - 1357, -z - 660 = -2*w. What is the highest common divisor of 7 and w?
7
Let w(k) = 78*k**3 + 2*k - 3. Let x be w(2). What is the highest common divisor of x and 25?
25
Let t(x) = -2 + 6 + 0 + 2*x + 0. Let q(i) = -3*i - 7. Let y(w) = -6*q(w) - 10*t(w). Let d be y(-3). Calculate the greatest common factor of 24 and d.
8
Let u be (-2)/((-42)/741) - 4/14. Suppose 0 = j - 6*j + u. Calculate the highest common factor of j and 56.
7
Let o(c) = -c**2 - 38*c - 85. Let x be o(-35). What is the greatest common divisor of x and 32?
4
Let y(r) = -97*r + 2. Let z be y(-1). Suppose 12*f = 15*f - z. Calculate the highest common factor of 132 and f.
33
Suppose -4*w - 58 = -6*w - 3*q, 3*w - q - 65 = 0. Calculate the highest common divisor of w and 5.
1
Suppose -4*w - 68 = -6*w. Let d(j) = j**3 + 10*j**2 - 13*j + 12. Let t be d(-11). Calculate the greatest common divisor of t and w.
34
Let d(b) = 15*b + 32. Let t be d(8). What is the greatest common divisor of 32 and t?
8
Let v = 52 - 42. Let a be (-10)/4*(-8)/v. Suppose 0 = w + 4*w + 4*g - 22, 0 = w + 3*g. Calculate the greatest common divisor of a and w.
2
Suppose 2*d - 48 = -4*s, -4*d - 6*s = -s - 84. What is the greatest common factor of 976 and d?
16
Let n be ((-7)/4 - 6/(-24))*-66. Let f = 91 - 82. What is the highest common factor of f and n?
9
Suppose 3037 = 4*g - s, 3*s = -9*g + 12*g - 2280. Calculate the greatest common divisor of g and 23.
23
Let n(h) = -32*h - 182. Let c be n(-6). Calculate the highest common divisor of 130 and c.
10
Let z(l) = l + 12. Let s be z(-11). Let b be (26/3)/(-2) + 3/9. Let t be 56/(-14)*b/s. Calculate the greatest common divisor of 64 and t.
16
Let f(y) = -y**2 - 15*y + 19. Let a = -57 + 40. Let m be f(a). Let p = m + 48. What is the highest common factor of p and 22?
11
Suppose 11*y - 140 = y. Let g = y + 52. Calculate the greatest common divisor of 22 and g.
22
Let k = 35 - 30. Suppose -3*s - s = -2*h - 10, 3*h - 2*s = k. What is the greatest common factor of 45 and h?
5
Let h(s) = -s**3 - 2*s**2 + 4*s. Let c be h(3). Let v = -19 - c. Let y(a) = 9*a**2 + 4*a + 1. Let x be y(-3). What is the highest common divisor of v and x?
14
Suppose 3*x - 49 = 3*s + 8, 0 = 3*s - 3. Calculate the greatest common divisor of x and 200.
20
Let n be (46/(-4))/((-22)/44). Suppose 38 = n*o - 22*o. What is the highest common divisor of 152 and o?
38
Let n = -127 + 155. Calculate the highest common divisor of n and 448.
28
Let t(f) = -12*f - 34. Let r be t(-8). Let b = -14 + r. Calculate the greatest common divisor of 6 and b.
6
Let d(g) = -g**2 - 6*g - 3. Let a be d(-4). Let y be a/(5/2) - -34. What is the highest common factor of 12 and y?
12
Let c be (-1)/5 - 2/(-10) - -48. Suppose -2 = -2*j + 3*o + 13, -4*o - 16 = -2*j. What is the highest common factor of j and c?
6
Suppose -m = 3*j - 442, 3*j = -3*m + 1047 + 291. Calculate the highest common divisor of 256 and m.
64
Suppose 98 = 5*r + 38. Suppose 4*w - 134 = 14. Let z = 41 - w. Calculate the highest common divisor of r and z.
4
Let u = -87 - -95. Let i(w) = -w**3 + 9*w**2 + 5*w + 3. Let j be i(7). Calculate the greatest common divisor of u and j.
8
Suppose -2*o - 11 = 53. Let y = -20 - o. Calculate the highest common divisor of 48 and y.
12
Suppose 307 = 10*f - 683. What is the greatest common factor of f and 22?
11
Suppose -98 = -5*t + 3*t + 5*z, 4*t = -z + 152. What is the highest common divisor of t and 195?
39
Suppose -5*z - 239 = -89. Let x = 31 + z. What is the greatest common factor of x and 10?
1
Let r = 278 + -178. Let f = -60 + r. Let p = -30 + f. Calculate the highest common factor of 4 and p.
2
Let v(b) = -8*b - 4. Suppose -2*h + h = 30. Let y = h + 22. Let f be v(y). Calculate the greatest common divisor of f and 30.
30
Suppose 4*x = 3*w - 0*w - 13, 2*w + 5*x = 47. Suppose -y = z + w, 4*y + 3*z = -2 - 39. Let q be y/(-2) + 8 + 3. What is the highest common divisor of 45 and q?
15
Let m be (1/(-2))/((-7)/(-56)). Let c = m - 6. Let a = 14 + c. Calculate the greatest common divisor of 28 and a.
4
Let y = -355 + 363. Calculate the highest common divisor of 60 and y.
4
Suppose 809*i - 798*i - 198 = 0. Let d = 493 - 295. What is the greatest common factor of i and d?
18
Suppose -284 = -4*l + 5*x - 3*x, 4*l - 290 = 5*x. Calculate the greatest common factor of 35 and l.
35
Suppose 8*d - t = 10*d - 8, 0 = -5*d + 2*t + 2. What is the greatest common factor of 9 and d?
1
Let l = 177 + -93. Calculate the greatest common factor of 105 and l.
21
Let v(y) = y**3 + 80*y**2 - 167*y + 56. Let u be v(-82). What is the highest common divisor of 1661 and u?
151
Let f(v) = -16*v**3 + 3*v**2 + v - 1. Let w be f(-1). Calculate the highest common divisor of 221 and w.
17
Let d(m) be the first derivative of m**4/4 + 4*m**3/3 - 2*m**2 - 3*m + 6. Let r be d(-4). Calculate the highest common divisor of 104 and r.
13
Let v(k) be the third derivative of k**6/120 + 2*k**5/15 - k**4/24 - 7*k**3/6 + 8*k**2. Let g be v(-8). Calculate the highest common factor of 8 and g.
1
Let s 