0. Let p(m) = -m**2 + 15*m - 16. Let s be p(h). Calculate the greatest common divisor of s and 14.
14
Suppose -t = 0, 5*t - 45 = -l - 4*l. Calculate the highest common divisor of l and 90.
9
Let w = -55 - -69. Calculate the highest common factor of w and 112.
14
Let g(n) = -5*n - 8. Let a be g(-6). Calculate the greatest common divisor of 22 and a.
22
Let x = 46 - 28. What is the highest common divisor of x and 144?
18
Let d(r) = -r**2 - 7*r - 7. Let a be d(-3). Calculate the greatest common divisor of 1 and a.
1
Let q be 2/10 + (-148)/(-10). What is the highest common factor of q and 75?
15
Suppose -r = -h + 45, -57 = 2*h - 3*h + 5*r. Let j be (-4)/(-4) - 10/(-1). Let q = j + -5. Calculate the highest common factor of q and h.
6
Let q(h) = -h + 6. Let r(n) = n**2 + 3*n + 4. Let d be r(-3). Let j be q(d). Let f = -27 - -29. What is the greatest common divisor of j and f?
2
Let a(r) = 258*r. Let g be a(3). Suppose 5*j = 2*v + g, 2*j - 7*j - 3*v + 764 = 0. What is the greatest common divisor of 14 and j?
14
Suppose 1 = -4*d + 2*g + 5, 3*d = -4*g - 8. Let y be (-1 + d - -1) + 19. Calculate the highest common factor of 76 and y.
19
Suppose -11*w + 20 = -6*w. Let u be (-2)/6 - (-266)/6. Calculate the highest common factor of u and w.
4
Let f = 0 + 6. Let m be 56/9 - (58/18 + -3). What is the highest common factor of f and m?
6
Let b(s) = -2*s - 1. Let h be b(-1). Let n be (-1)/(((-2)/(-3))/2). Let f be 14 + n - (h - 0). What is the greatest common divisor of f and 2?
2
Let p be (11 - (-6)/(-3)) + -3. Let y be p/15 + 46/10. What is the greatest common divisor of 15 and y?
5
Suppose 0 = -2*i - 2*p + 32, -p - 31 = -2*i - 5. What is the highest common factor of i and 98?
14
Suppose 3*h - 106 = 56. Let p(t) = -2*t**3 - 3*t**2 - 2*t - 2. Let o be p(-2). Calculate the greatest common factor of o and h.
6
Let p(w) = w + 6. Let m be p(-7). Let r be m - (2/(-2) - 12). What is the greatest common factor of 30 and r?
6
Suppose 4*b - 22 = -5*c - 3, -2*b = c - 11. Let u be (-16)/b*-5*3. Calculate the greatest common factor of u and 5.
5
Let o = 59 + -35. Let n(j) = -32*j. Let t be n(-6). What is the greatest common factor of t and o?
24
Let q = 2442 - 2440. Let n be (44/3)/((-1)/(-3)). Suppose 5*p = 3*p + n. What is the highest common divisor of q and p?
2
Let g be (3/5)/(2/(4*5)). Calculate the highest common factor of 3 and g.
3
Suppose 96 = 5*w + 7*w. Calculate the greatest common divisor of 64 and w.
8
Suppose 0 = 2*u - 0*u - 38. Let p = 25 - u. Calculate the greatest common factor of 9 and p.
3
Let j(c) = 34*c**2 - 3*c + 2. Let k be j(1). Calculate the highest common factor of k and 3.
3
Suppose v + 3*v + 5*u - 93 = 0, -5*v - 2*u + 95 = 0. Calculate the highest common divisor of v and 68.
17
Let l(j) = j**3 - 12*j**2 - j + 15. Let r be l(12). Suppose -28 - 26 = -4*c - 5*x, r*x = -6. Calculate the highest common divisor of c and 2.
2
Let i(g) = g**3 + 5*g**2 - 4*g + 4. Let s be i(-5). Let h = s - 12. What is the greatest common divisor of 108 and h?
12
Suppose 5*j + 5 = 2*v - 0*v, -v + 5 = -5*j. Suppose v = y + 3*y - 20. Suppose -b - 5 = 0, -y*l + 4*l - 4*b = 10. What is the highest common factor of 10 and l?
10
Suppose 2*g - 45 = -3. Calculate the greatest common factor of g and 42.
21
Suppose -4*f = -9 - 15. Let j be 3/((6/(-4))/(-3)). What is the highest common factor of f and j?
6
Let d(b) = -2*b - 15. Let j be d(-16). Calculate the greatest common factor of j and 102.
17
Let y(h) = -3*h - 1. Let z(j) = -4 + j + j - j**2 + 2*j. Let m be z(3). Let t be y(m). What is the greatest common divisor of 2 and t?
2
Suppose j + 6 = 3*j, 0 = -3*q + 3*j + 387. Calculate the highest common divisor of 12 and q.
12
Let w be (-8)/(0 - (-1)/2). Let k be w/1*90/(-24). What is the greatest common divisor of 40 and k?
20
Suppose -5*g + 0*c = -3*c - 331, 0 = -g - c + 63. What is the highest common factor of 13 and g?
13
Let a(c) = 2*c**3 + 2*c**2 + 4*c + 1. Suppose -2*u + 2*r = 6, 9 = -3*u + 3*r + r. Let q = 0 - u. Let n be a(q). What is the highest common divisor of n and 34?
17
Let i(a) = a**2 - 9*a + 5. Let w be i(9). What is the greatest common divisor of w and 45?
5
Suppose 2*r - r = 22. Let p(f) = -9*f - 6. Let u be p(-11). Let o = 148 - u. What is the greatest common factor of r and o?
11
Suppose 0 = -2*c + 10, -n + c + c - 6 = 0. Suppose -2*g + 19 + n = q, -q + 29 = -4*g. Suppose q = 4*v - 3. Calculate the greatest common factor of 63 and v.
7
Let l = -3 - 7. Let x be 36*-2*l/6. What is the highest common divisor of 15 and x?
15
Let p be (7 - 0)*2/7. Suppose -28 = -p*s - 2*s. Calculate the greatest common factor of 35 and s.
7
Let t = -22 + 40. Calculate the highest common divisor of t and 144.
18
Suppose 4*l + 16 = -p, -p = p + 3*l + 7. Calculate the greatest common divisor of 1 and p.
1
Suppose 0 = -4*r - 3 + 15. Suppose -r*f - 2*f + 30 = 0. What is the greatest common factor of f and 2?
2
Suppose 5*m = -3*b + 370, -4*m - b + 283 = 4*b. Calculate the greatest common divisor of m and 7.
7
Let h be 4*4/(64/20). Calculate the highest common factor of h and 25.
5
Suppose -6*d - 3*d = -54. What is the greatest common divisor of d and 54?
6
Suppose 5*m + 5*f = 5, 0 = -m - f - 2*f - 5. Let p be (-1)/(-2)*(m - -374). Suppose -p = 2*w - 5*w. What is the highest common divisor of w and 7?
7
Let p(w) = 0*w - w + 5*w + 3. Let b be p(3). Let m = 127 - 67. Calculate the highest common divisor of m and b.
15
Let l = -5 + 74. Suppose -4*c + 2 + 1 = h, 3*c - 54 = -3*h. What is the highest common divisor of h and l?
23
Suppose -3*p + 170 = 2*p. Calculate the highest common factor of p and 51.
17
Let j(b) = -b - 8. Let k be j(-18). What is the greatest common factor of 80 and k?
10
Let s(w) = -w**3 - 8*w**2 - w + 10. Let k be s(-8). Suppose -x + 4*d = -k, x - d = -3*d + 24. What is the highest common factor of 33 and x?
11
Let t = -27 - -38. What is the greatest common divisor of t and 33?
11
Let y = -27 + 72. Let v(j) = 18*j**3 - j**2 + 2*j - 1. Let z be v(1). What is the greatest common factor of z and y?
9
Let j(x) = 2*x - 2. Let q be j(3). Calculate the highest common divisor of q and 16.
4
Let n(r) = r - 4. Let l be n(5). Let p be (-2)/(-2) + 16 - l. Let x = -122 - -186. What is the greatest common factor of p and x?
16
Let z be -20*(2 - 3) - 3/(-3). What is the greatest common divisor of z and 6?
3
Let r = -11 + 15. Suppose -2*c = -k - 87, -r*k - 14 - 40 = -c. Calculate the highest common factor of 28 and c.
14
Let h(t) = t**2 - 6*t - 7. Let m be h(6). Let j(r) = -3*r + 3. Let z be j(m). What is the highest common factor of 12 and z?
12
Suppose -8*z = -6*z - 48. What is the highest common factor of 120 and z?
24
Suppose -125*h = -122*h - 384. What is the greatest common factor of 32 and h?
32
Let g = -108 + 425. Suppose 4*a = -77 + g. What is the greatest common factor of 40 and a?
20
Let t = -12 - -67. Suppose -5*a + 78 = -3*a. Suppose -4*q - a = -5*m, -4*m = -7*m + 3*q + 21. Calculate the highest common factor of m and t.
11
Let k(f) be the first derivative of 2*f**3/3 - 2*f**2 - 4*f - 2. Suppose 3*y - 3 + 18 = 0. Let h be k(y). Calculate the highest common divisor of 44 and h.
22
Let c be 42/(-5)*575/(-10). Suppose c = 5*u - 4*w, 16 = -3*u - 3*w + 322. Let y = 16 + -7. What is the greatest common factor of y and u?
9
Let g be 2143/11 + 4/22. What is the highest common factor of 39 and g?
39
Let k(a) = -2*a**3 - 5*a**2 - a + 6. Let x be k(-5). Calculate the highest common divisor of x and 17.
17
Let z(k) = 12*k + 3. Let f be z(-2). Let v be (-4)/(-18) - f/27. Calculate the highest common divisor of v and 1.
1
Let s = 120 - 99. What is the highest common divisor of s and 147?
21
Let u = -49 + 51. Calculate the highest common factor of 16 and u.
2
Suppose -4*l = -4*m - 18 - 14, 3*l - 5*m = 30. Suppose 4*n = 4*y + 20, -4*y - 12 = -l*n + 10. Calculate the greatest common factor of n and 22.
2
Let v(q) = 6*q - 2. Let b be v(1). Suppose -50 = -b*d + 106. Calculate the greatest common factor of d and 13.
13
Let a = 13 + -7. Calculate the highest common factor of a and 15.
3
Suppose 20 - 4 = 4*d. Suppose -3*t = 5*v - t - 30, -d*t = 2*v - 28. Calculate the greatest common factor of 4 and v.
4
Suppose -3*p - 5*a + 120 = -0*p, 200 = 5*p + 2*a. Calculate the greatest common divisor 