pose -4*y = 3*u - a, u - 6 = -u. Calculate the highest common divisor of j and y.
1
Let z(y) be the first derivative of 0*y + 39/2*y**2 + 1. Let r be z(1). What is the highest common divisor of 13 and r?
13
Suppose -2*d = -2*t + 16, -2*d + 30 = 5*t + 3*d. Calculate the highest common factor of t and 63.
7
Suppose -7*a + 3*a = -y + 2, 4*a = 4. Calculate the highest common divisor of y and 30.
6
Let o = -92 + 142. Suppose 2*v = -4*n + 2, 2*n - 2*v - 3*v = -29. Let a be 5*(n - 1)/(-3). What is the greatest common factor of a and o?
5
Let t be ((-113)/(-2))/((-2)/(-4)). Let a = -77 + t. Suppose -5*h + u = 4*u - 75, -2*h + 4*u = -56. What is the greatest common factor of h and a?
18
Suppose -2*f + 279 = -5*h, -3*h + 76 = f - 47. Calculate the greatest common divisor of 12 and f.
12
Suppose 0 = -3*i + 180 + 9. Calculate the greatest common divisor of 7 and i.
7
Let l be 4/14 - 3955/(-49). Calculate the greatest common divisor of l and 9.
9
Let o = 66 + -38. What is the highest common divisor of o and 7?
7
Suppose -2*z - 59 = -169. Suppose 6*j - j = z. Let i(m) = 78*m - 1. Let n be i(1). What is the greatest common divisor of n and j?
11
Let w = -110 + 127. Calculate the greatest common factor of 153 and w.
17
Let s be (70/15)/((-4)/(-42)). Let z(x) = x**2 - 2*x - 1. Let d be z(-1). Let k be (1 - 0)*9 - d. Calculate the highest common divisor of k and s.
7
Suppose 5*a + 63 = 2*l, -4*a = -4*l + 3*l + 39. Let j = 45 - l. Calculate the greatest common divisor of 39 and j.
13
Let a be 598/4 + 1/2. Calculate the highest common divisor of 375 and a.
75
Suppose 3*v - 6*v = -18. Suppose 0*z - 2*z = -v. Let g(r) = 2*r - 3. Let x be g(z). What is the greatest common factor of 9 and x?
3
Let j be ((-1)/(1/5))/(-1). Let o(s) = -20*s + 15. Let k be o(-3). Suppose -j*f + 0 = -k. Calculate the highest common factor of f and 105.
15
Suppose 5 = 4*n - 3*n. Let o = 11 - n. Calculate the highest common factor of 3 and o.
3
Suppose 0 = 2*v - 19 - 93. What is the highest common factor of 28 and v?
28
Suppose 0 = -5*k - 5, -5*w + 6 = -3*k + 2*k. Let u = -12 - -20. Calculate the greatest common divisor of u and w.
1
Suppose 3*n = -0 + 15. Let a = 22 - n. What is the greatest common divisor of 187 and a?
17
Suppose 0 = 5*x - 7 - 48. Calculate the greatest common divisor of 99 and x.
11
Suppose -3*p + 2 = -4. What is the highest common divisor of p and 5?
1
Let o(k) = -k**3 - 6*k**2 + 4*k + 7. Let d be ((-7)/2)/(3/6). Let v be o(d). What is the highest common factor of v and 70?
14
Let t(g) = 5*g - 18. Let i(f) = -3*f + 12. Let m(k) = 8*i(k) + 5*t(k). Let x be m(0). What is the highest common factor of 18 and x?
6
Let c(t) = -t**3 + 2*t**2 + 2*t - 4. Let b(z) = 2*z + 7. Let o be b(-5). Let n be c(o). Calculate the highest common factor of n and 5.
5
Let s be (-1 + -1)*3/6. Let u be (-1)/(-1) - (-1)/s. Let v be u + 2*-1 + 22. What is the greatest common divisor of 4 and v?
4
Let r be (-4)/(-2) + 74/1. Let x = -43 - -62. What is the highest common factor of x and r?
19
Let w = 13 + 5. Suppose -2*o = y + 19, -4*o + 7 + 30 = -3*y. Let u be ((-66)/y + 1)*5. Calculate the greatest common factor of w and u.
9
Suppose -a + 1 = 0, a + 3 = -0*r + r. Calculate the highest common factor of r and 20.
4
Suppose -x = 2*x - 45. Let j(g) = g**3 - 11*g**2 + 22*g + 9. Let w be j(9). What is the greatest common factor of x and w?
15
Suppose -2*v + 155 - 24 = 5*d, 5*v = -5*d + 125. Suppose 3*b - 3*o = 399, 4*o = -3*b + 2*o + 409. What is the highest common divisor of d and b?
27
Let s(v) = -6*v**2 + v. Let h be s(-1). Let w = -4 - h. Calculate the greatest common factor of w and 2.
1
Let o(i) = 5*i - 27. Let a be o(8). What is the highest common factor of 52 and a?
13
Suppose -4 = -g, 0 = -3*c - g + 2*g + 8. Let n = 4 - c. Suppose -42 = -3*z + 4*h - n*h, -35 = -5*z - 5*h. What is the greatest common factor of 10 and z?
10
Let p(a) = 5*a**2 + 2*a + 1. Let m be p(-1). Suppose m*v - 34 = -2*n - 10, -v = 2*n - 30. Calculate the highest common divisor of 40 and n.
8
Suppose 0 = 5*d + a - 478, -2*d + a + 290 = d. Calculate the greatest common factor of 24 and d.
24
Let f be (2/(-10) + 1)*5. Suppose -2*m = -m + 1. Let n(b) = 2*b**2 + b + 1. Let r be n(m). What is the greatest common factor of f and r?
2
Suppose 0 = 3*q + 11 + 1. Let w = q + 8. Suppose -5*c + 154 = -2*t, c + t + 92 = w*c. Calculate the greatest common divisor of c and 12.
6
Let q be 3 + -6 + -5 + 12. Suppose 4*t + s - 4*s = 204, -5*t + s = -255. Suppose -q*n + t = -5. What is the greatest common factor of 21 and n?
7
Let i = -48 + 51. Let o = 26 - 14. Calculate the highest common factor of i and o.
3
Let q = 8 + 55. Let s(l) = -l**2 - 8*l + 9. Let t be s(-8). Calculate the highest common divisor of t and q.
9
Suppose 2*p + 50 = 290. Let f be p/25*(-20)/(-6). What is the highest common factor of 4 and f?
4
Suppose 6 = 4*r - 18. Let d(a) = -a - 15. Let o be d(-10). Let g be (4/o)/(r/(-60)). What is the highest common divisor of g and 24?
8
Let d(j) = 2*j**3 - 5*j**2 - 3*j + 4. Let t = 0 + 4. Let v be d(t). Let z be (120/(-7))/(24/(-84)). Calculate the highest common factor of v and z.
20
Let a = 10 + 0. Calculate the highest common divisor of 50 and a.
10
Let x be (-20)/(-12) + (-3)/(-9). Suppose -x*k = -6, -2*g = 4*k - 25 - 3. What is the greatest common divisor of 1 and g?
1
Suppose v + 385 = 2*o, -4*o - 3*v = -2*v - 767. What is the greatest common divisor of 24 and o?
24
Suppose 0 = 3*i - 5*n + 35, 4*i + 8 = -n - 2*n. Let s be i + 2 - (-72)/2. Calculate the greatest common factor of 3 and s.
3
Suppose 0 = c - 3*c. Let q(i) = i**2 - i + 13. Let b be q(c). Calculate the greatest common factor of 91 and b.
13
Suppose 85 = 5*w - 3*q, 5*w + q - 95 = 2*q. Suppose 0*n + 24 = 3*n. What is the highest common factor of w and n?
4
Let t(w) = 3*w + 28. Let s be t(-6). Calculate the greatest common divisor of s and 95.
5
Suppose 3*a - 2*f - 2*f = 95, 50 = a - 5*f. Calculate the greatest common factor of a and 5.
5
Let j be ((-9)/(-3))/(-6)*-14. Let u(r) = -r + 13. Let m be u(j). Suppose 2*w = m*w - 80. What is the highest common factor of 5 and w?
5
Let q = 2 + -2. Let o = 0 + 1. Let n be q + o*-2 - -12. Calculate the highest common factor of n and 70.
10
Let q(z) = 4*z**2 - 2*z - 3 + 2 + 0*z**2 - z**3. Let b be q(2). Let n be (204/18)/(2/b). What is the highest common factor of 119 and n?
17
Let r = -5 - -5. Suppose q + 1 - 2 = r. Calculate the highest common divisor of q and 4.
1
Let u be (-10)/6*(-2 - 28). Suppose -5*l + u = -145. Suppose -l = -n + i, -3*n + 102 = -i + 3*i. Calculate the greatest common factor of n and 12.
12
Let b(t) = -t**2 - 12*t - 9. Let n be b(-11). Suppose 0 = n*y - 4*o + 4, -1 = -5*y - 5*o + 19. Calculate the greatest common factor of 1 and y.
1
Let g be 16/(-12)*3 + 22. Let c be 360/2 - 0/(-3). What is the greatest common divisor of c and g?
18
Let k(i) = 16*i**3 - 5*i - 1. Let d be k(2). What is the greatest common divisor of d and 26?
13
Let j be 2/11 + 4298/77. Suppose 0 = -0*l + 3*l - 42. What is the highest common factor of l and j?
14
Let n(f) = -4*f. Let x be n(-1). Let y be 6/x*(-154)/(-1). Calculate the highest common factor of y and 21.
21
Suppose -24 = -2*l + 6. Calculate the greatest common divisor of 10 and l.
5
Let u(z) = -z**3 - 8*z**2 + z - 2. Let c = 12 + -21. Let f be u(c). What is the greatest common divisor of f and 10?
10
Let p(w) be the first derivative of -w**4/4 + w**3/3 - w**2/2 + 10*w + 2. Let y be p(0). Calculate the highest common divisor of y and 70.
10
Let j = -65 + 97. Suppose -4*x + 3*x = 0. Suppose x*w = 4*w - j. What is the greatest common divisor of 8 and w?
8
Let v(b) = 4*b**2. Let n be v(1). Calculate the greatest common divisor of n and 16.
4
Let z(w) = -w**2 - 10*w - 3. Let b be z(-8). What is the greatest common divisor of b and 13?
13
Let m(i) = 3*i - 1. Let k be m(1). Let s be ((-7)/k - -3)*-4. What is the greatest common factor of 6 and s?
2
Let x = 18 - 4. What is the greatest common divisor of x and 112?
14
Let x be 0 + 1 + -1 - -1. Suppose -3*u - 2 = 2*o + x, 4*u + 9 = -o. Let c(d) = d**2 + 3*d + 6. Let p be c(-6). What is the greatest common divisor of o and p?
3
Let u(s) = 2*s**2 - 5*s + 3. Let p be u(-5). Calculate the highest common factor of p and 52.
26
Let v(z) =