1. Let u be s(-4). Let c be -1 - 3/(u/(-22)). Let p(l) = 14*l**2. Let h be p(-1). What is the greatest common factor of c and h?
7
Let p(l) = -2*l**3 + 61*l**2 + 33*l - 49. Let r be p(31). What is the highest common factor of 1 and r?
1
Suppose -3*b + 6*b + 2*s = 1, 2*b - 1 = -s. Let v(z) = -z**3 + z + z**2 + 0*z**2 + b - 2 + 5. Let i be v(0). What is the highest common factor of i and 8?
4
Let b = -195 - -122. Suppose -3*g - 515 = 2*g. Let q = b - g. Calculate the highest common divisor of 12 and q.
6
Let p be 5/4 + 1/(-4). Suppose 0 = -5*t + 3*t + 30. Let l be ((-6)/4)/(t/(-20)). Calculate the highest common divisor of p and l.
1
Suppose -3*i = -4*w - 171 - 227, 0 = -5*i + 2*w + 654. Let b = -58 + i. Let l be (2/(-4))/((-2)/b). What is the highest common factor of 126 and l?
18
Suppose -3 = -3*a - 0*a. Calculate the greatest common factor of 3 and a.
1
Let w be ((6 - 3) + -3)/(-2). Suppose -z = -5*r + 126 - 38, 3*r + 4*z - 39 = w. What is the highest common divisor of 119 and r?
17
Let t(y) = -15*y + 1. Let o be t(2). Let n = -5 - o. What is the highest common divisor of n and 16?
8
Let j be 7/28 - (-94)/8. Calculate the greatest common factor of j and 18.
6
Let n = 5 + -4. What is the highest common factor of 9 and n?
1
Suppose -2*g - 36 = l, 0*l + 99 = -3*l - 3*g. Suppose 2*q = 364 - 106. Let p = q + l. Calculate the greatest common divisor of p and 11.
11
Suppose 3*l - 8 - 20 = -2*f, 25 = 5*f. Let y be 3/l*(1 - -1). Calculate the greatest common factor of y and 3.
1
Suppose 0 = 7*q - 3*q - 144. What is the highest common divisor of q and 12?
12
Suppose 0 = -0*v + 2*v - 46. Calculate the greatest common divisor of 161 and v.
23
Let q be (-1)/(-7) + 2236/28. Calculate the greatest common factor of q and 32.
16
Let o(x) = x**3 - 5*x**2 + 7*x - 4. Let p be o(4). Calculate the greatest common factor of p and 4.
4
Let i(f) = f - 2. Let j be i(10). Let n = -34 + 58. Calculate the greatest common divisor of n and j.
8
Let r(k) = 25*k**2 + k. Let g be r(-1). Calculate the highest common divisor of 36 and g.
12
Let p(g) = 3*g. Let r be p(1). Suppose r*y = -5*m + 70, -3*y + 40 = -y + 5*m. What is the greatest common factor of y and 12?
6
Suppose -w = w - 992. What is the highest common divisor of w and 62?
62
Let t(h) = -h + 16. Let a be t(6). What is the greatest common factor of a and 4?
2
Suppose 6*w - w - 140 = 0. Let i be (-1)/3 - w/(-3). Calculate the highest common factor of i and 6.
3
Suppose 0*z - 104 = -2*z - 4*p, 0 = 3*z + p - 141. Suppose -2*a = 3*u - 40, -3*u - z = -3*a - 4*u. Calculate the greatest common factor of a and 42.
14
Let t(q) = -29*q - 2. Let z(l) = 43*l + 3. Let w(i) = -8*t(i) - 5*z(i). Let f be w(10). Calculate the highest common divisor of 19 and f.
19
Let p be (-1368)/(-56) - 3/7. Calculate the greatest common factor of 3 and p.
3
Let l = -99 - -115. Calculate the greatest common divisor of 112 and l.
16
Suppose -y - 3*y = -220. Let n be (3/2)/((-12)/(-40)). What is the highest common divisor of y and n?
5
Let a(d) be the third derivative of d**5/60 + d**4/8 - d**3/2 - 2*d**2. Let j be a(2). What is the greatest common factor of 7 and j?
7
Suppose 5*c = c + 1100. What is the highest common divisor of c and 25?
25
Let y(d) = -4*d. Let q be y(-1). Suppose 42 = -q*l + 378. Calculate the highest common factor of l and 12.
12
Let l(y) = y**3 + 6*y**2 + 6*y + 19. Let p be l(-5). What is the greatest common divisor of 126 and p?
14
Let w = -7 + 14. Calculate the highest common divisor of w and 49.
7
Suppose 0 = 5*c - c - 4. Let q = -1 + 1. Let g(a) = a + 1. Let y be g(q). Calculate the greatest common divisor of y and c.
1
Let w = -144 - -165. What is the greatest common factor of 3 and w?
3
Suppose -2*x - 5*r + 138 = -10*r, -5*x - 4*r + 312 = 0. What is the highest common divisor of x and 8?
8
Suppose -z + 6 = -4*z. Let u = -2 - z. Let p = 14 + u. Calculate the greatest common factor of 98 and p.
14
Suppose 0 = 2*k + 3*c - 0*c - 24, -8 = -4*c. Calculate the highest common divisor of 3 and k.
3
Suppose -2*s - 2 = 4. Let b = 6 - s. Let a = 140 + -68. What is the highest common divisor of a and b?
9
Suppose 0*z = -z + 50. Let r = -22 + z. Suppose -2*k + 3*y + 159 = 13, -4*k = 2*y - 276. Calculate the greatest common divisor of r and k.
14
Let h = 12 - 18. Let o(n) = -3*n - 10. Let z be o(h). What is the greatest common factor of 8 and z?
8
Let u(p) = p**3 + 6*p**2 - 8*p - 7. Let k be u(-7). Suppose k = z + z - 288. Calculate the greatest common factor of 18 and z.
18
Let q(i) = 43*i + 7. Let x be q(3). Calculate the highest common factor of 8 and x.
8
Let r be (-2)/7 - 2/(-7). Suppose -2*a + a - 8 = r. Let p = a - -15. Calculate the highest common divisor of 49 and p.
7
Let t(x) = -2*x**3 + 20*x**2 + 9*x - 16. Let w be t(10). What is the greatest common divisor of w and 37?
37
Let a be 0/(-1) - -2 - -58. Suppose 20 = -2*v + a. Let c = 40 - 0. Calculate the highest common factor of c and v.
20
Let l = 6 + -4. Suppose 0 = l*q - 0 - 4. Suppose 32 = q*y - 3*d, 3*d + 0 + 2 = -y. What is the highest common divisor of 90 and y?
10
Let h(z) = -3*z**2 + 7*z + 5*z**2 + 0*z**2 - 3*z + 4. Let x be h(-3). What is the highest common divisor of x and 60?
10
Let m = 18 - 4. Calculate the greatest common divisor of 35 and m.
7
Let c be (-1)/(-6) - (-475)/30. What is the highest common divisor of 112 and c?
16
Suppose 5*f + 12 = 67. Let o = 29 - -4. Calculate the greatest common factor of o and f.
11
Let q(x) = -x**3 - 2*x**2 - 4*x - 3. Let p be q(-3). Suppose 0 = 3*g - 0*g - 324. Suppose f - g = -3*f. Calculate the highest common divisor of f and p.
9
Let l(p) = 2*p**2 + 3*p + 5. Let v be l(-1). What is the greatest common factor of v and 8?
4
Let t = 6 - 2. Suppose -5*j - 3*d = -t*d - 58, d = -2*j + 19. What is the highest common factor of 55 and j?
11
Suppose -13 = -3*q - 1. Suppose -3*p - 3*h + 26 = -q*h, 0 = 5*p - h - 42. What is the greatest common divisor of 16 and p?
8
Suppose 161 = 3*d + 5*l - 132, -3*l = 3*d - 291. Suppose -x + d = x. Calculate the highest common divisor of 6 and x.
6
Let n(s) = 2*s**2 - 2*s - 2. Let t be n(3). Suppose -7*i + 4*c + 176 = -3*i, 0 = -4*i - 5*c + 140. Calculate the greatest common factor of i and t.
10
Let g(o) = -2*o**2 - 22*o - 48. Let u be g(-4). Let z be (146/2 - 0) + -1. Calculate the highest common factor of z and u.
8
Let s = 8 - -28. What is the highest common factor of 54 and s?
18
Let s = -7 + 7. Suppose 2*m = 5*z - z + 88, 3*m + 3*z - 96 = s. Calculate the highest common divisor of 9 and m.
9
Let v(i) = -6*i - 3. Let o be v(-2). Suppose 5*k + 2*g - 20 = -2*g, 5*g = -2*k + 8. Suppose k*w - 12 = -0*w. Calculate the greatest common factor of o and w.
3
Let d = 6 + -4. Let z(n) = 6*n**3 - n**2 - n + 1. Let m be z(2). Let c = m + -25. Calculate the greatest common factor of c and d.
2
Let v(f) = -2*f**2 + 4. Let o be v(5). Let l = -14 - o. Calculate the greatest common factor of 4 and l.
4
Suppose -2*w - 68 = -4*w. Let y = -21 - -38. Calculate the greatest common factor of y and w.
17
Suppose -4*s - 35 = s. Let n = -4 - s. Suppose 5*m = -n*x + 2*x + 64, 2*m - 128 = -2*x. What is the highest common factor of x and 8?
8
Suppose 3*x = -5*j + 32, 2*x + j = 11 + 8. What is the highest common factor of x and 45?
9
Let d(s) = 3*s + 8. Let i be d(6). Let w(k) = 64*k**3 + k**2. Let f be w(1). Calculate the greatest common divisor of i and f.
13
Let p = -94 + 124. Calculate the highest common factor of p and 40.
10
Suppose -2*j = 4*q + 318, 3*j = -4*q - 0*j - 319. Let s = 133 + q. Suppose -234 = -2*u - s. What is the highest common factor of 36 and u?
18
Let x be -12*(1 - (-6)/(-4)). Let c = -4 - -6. Suppose 12 = c*q - 0*g - 2*g, 3*q + 14 = -5*g. What is the greatest common factor of x and q?
2
Suppose 0 = 4*g - 2*w - 450, -2*g - 4*w + 222 = -2*w. Calculate the greatest common divisor of 28 and g.
28
Suppose -3*y - 3*o + 0*o + 195 = 0, 0 = 3*y - 5*o - 203. Calculate the greatest common factor of 88 and y.
22
Suppose -4*c = 96 + 72. Let w = -2 - c. What is the highest common factor of w and 16?
8
Let o(k) = 2*k**2 - 6*k - 18. Let u be o(6). What is the highest common factor of u and 198?
18
Let z be 1/4 + 15/4. Suppose -2*w + 97 = 5*x - 18, -z*w + 165 = -3*x. Let l = 7 - 2. Calculate the highest common fact