Let r(j) be the second derivative of -1/2*j**2 + 1/6*j**3 + 0 + 1/12*j**4 - j. Let m be r(-2). Calculate the highest common divisor of 8 and m.
1
Suppose 0 = -4*j + 5*m + 319, 0 = j + 5*m + 14 - 75. What is the highest common factor of 114 and j?
38
Let i = -158 + 282. Suppose -z + 38 = -p + 12, 4*z = -p + i. What is the highest common divisor of 6 and z?
6
Suppose 3*v + 4*y - 11 = 15, 2*v + 4*y = 12. Let u = 27 - v. What is the highest common divisor of 143 and u?
13
Suppose 45 = -3*c + 3*r, -4*c + r = 3*r + 42. Let z be (9/(-4))/(3/c). Calculate the greatest common factor of z and 72.
9
Let q = 2 - -3. Suppose -q*n = -2 + 12. Let w be n + 1 + -2 + 4. Calculate the highest common factor of 1 and w.
1
Let n be (-12)/8*2 + 11. What is the greatest common divisor of n and 56?
8
Let g be 23 + (-1)/((-3)/(-9)). Calculate the greatest common divisor of 40 and g.
20
Suppose 35 = 2*r - r. Calculate the greatest common factor of 7 and r.
7
Suppose 4*p + 166 = 5*k, 5*k - 112 = k - 2*p. What is the greatest common divisor of 12 and k?
6
Let k = -77 - -117. Calculate the highest common divisor of k and 30.
10
Suppose -2*c + 4*c - 18 = 0. Suppose -3*d = -6*d + 2*t + 9, -2*d + 5*t + 6 = 0. What is the highest common factor of d and c?
3
Let t = 57 - 36. Calculate the greatest common factor of 189 and t.
21
Let l = -57 + 62. What is the greatest common divisor of 25 and l?
5
Let v(x) = x**3 - 14*x**2 + 12*x + 15. Let d be v(13). Suppose 3*h = -3*s + 123, h - d*s - 26 = -0*h. Calculate the highest common divisor of 9 and h.
9
Let u be -1*(3 - 2) + (-30)/(-3). Suppose 5*p = p + 156. Let q = 33 + p. What is the greatest common factor of q and u?
9
Let w = -4 - -18. What is the highest common factor of 21 and w?
7
Let d(u) = u + 7. Let s be d(-3). Suppose -33 = -7*p + 2*p + 2*v, -s*v + 32 = 4*p. Let n be 1*(-19 + -2)/(-1). Calculate the highest common factor of p and n.
7
Suppose 28 = -4*i + 5*i. Calculate the highest common factor of i and 2.
2
Suppose -224 = -6*v + 2*v. Calculate the greatest common factor of 7 and v.
7
Let u be 6*(-2)/(-8)*2. Calculate the greatest common factor of 21 and u.
3
Suppose -3*n + 17 - 110 = 0. Let k = -29 - n. What is the highest common divisor of 16 and k?
2
Suppose -c - 68 = -4*f + c, 2*f - 3*c = 30. Calculate the highest common divisor of f and 144.
18
Let s(i) = 3*i. Let x be s(4). Let t = -1 + x. Let o be (-35)/14*((-198)/5 - 0). Calculate the highest common factor of t and o.
11
Let f = 5 + -1. Suppose f*l - 2*l - 24 = 0. What is the greatest common divisor of 4 and l?
4
Suppose -6*a + 11*a - 5 = 0. Let h be (-2)/2 + 10 + a. Let t be (-2)/(-5) - 48/(-5). What is the highest common divisor of t and h?
10
Let q = 1 - 1. Suppose 1 = z - q. Let a be z/(3 - (-10)/(-4)). Calculate the greatest common divisor of 6 and a.
2
Suppose -5*n = 5*x - 160, -3*x = n - 6*n + 176. What is the highest common divisor of n and 68?
34
Let y be ((-12)/(-10))/((-5)/(-225)). Suppose n - 28 = -4*c, -5*n = -4*c - 3*n + 16. Calculate the highest common factor of y and c.
6
Suppose 21 = 3*m - 4*i, 2*i - 10 + 3 = -m. Suppose 4*a - 112 = x, 3*a = -3*x + 5 + 79. Calculate the highest common factor of m and a.
7
Let v = -8 + 9. Suppose h = 4*y, 4*y - 3*y = h. Let j(l) = -l + 5. Let z be j(y). Calculate the greatest common factor of v and z.
1
Let z be 4/10 + 296/10. Let g = 805 - 795. What is the highest common factor of z and g?
10
Suppose 25 + 15 = -4*p. Let h(k) = k**2 + 7*k - 12. Let o be h(p). What is the greatest common divisor of o and 144?
18
Let b = -67 + 270. Calculate the highest common factor of 29 and b.
29
Let x(m) = m**3 - 5*m**2 - m + 7. Let l be x(5). Let w be -2*(l/(-4) + 0). Suppose 4*q + w - 309 = 0. What is the greatest common divisor of 11 and q?
11
Suppose -3*l = -4*l + 4. Suppose 3*k + 60 = l*k. What is the highest common factor of 24 and k?
12
Let p(s) = -1 + 6*s - 8*s + s. Let w be p(-4). Let b be ((-8)/6)/(w/(-9)). Calculate the greatest common divisor of b and 10.
2
Let i(k) = -k**3 + 6*k**2 + k - 3. Let l = -3 - -3. Suppose l = -3*s + 21 - 3. Let y be i(s). What is the highest common divisor of 15 and y?
3
Let q(m) be the second derivative of 0 - m - 1/3*m**3 - 7/2*m**2. Let a be q(-5). What is the highest common factor of 15 and a?
3
Let w(y) = y + 11. Let b be w(-7). Let v be 6/(18/b + -3). Calculate the highest common divisor of 4 and v.
4
Suppose -45 = -5*f - 0*f. Calculate the highest common factor of f and 18.
9
Suppose -5*s + 16 = 4*c, -5*c = -3*s - 15 - 5. Calculate the greatest common divisor of 1 and c.
1
Suppose 4*z - 5*w - 39 = 0, 3 = 2*z - w + 4*w. Let j = -7 + 7. Suppose j*s = -s + z. Calculate the highest common divisor of s and 4.
2
Let r(b) = -3*b + 6. Let w be r(4). Let l be 4/6 - 8/w. Suppose -3*n = 3*g - 309, 4*n - 120 - 322 = l*g. What is the highest common divisor of 12 and n?
12
Let m = 49 + -17. Calculate the highest common divisor of m and 8.
8
Let z(j) = -2*j**3 + 8*j**2 - 3*j + 3. Let u be z(6). Let y be 544/(-7) + 2/(-7). Let f = y - u. What is the greatest common factor of 9 and f?
9
Let r be (-9)/(-2) - 1/2. Suppose 2*j + 2*j - 84 = 0. Let x = 33 - j. Calculate the greatest common divisor of r and x.
4
Let l(m) = -5*m. Let i be l(-1). Suppose -3*j + 4*s = -s, 0 = -5*s - 15. Let w be -1*2*j/10. What is the highest common factor of i and w?
1
Let z be 55 - -2*9/6. Calculate the greatest common divisor of 87 and z.
29
Suppose 0*n = 6*n - 264. What is the greatest common factor of 132 and n?
44
Suppose -5*h = 5*g - 140, 2*h = -h + g + 64. Calculate the greatest common factor of h and 46.
23
Let k = 4 - 0. Suppose 1 = -k*j - 7. Let o be (20 - j/(-2)) + 0. What is the greatest common divisor of o and 38?
19
Let b(q) = q**2 + 2*q + 19. Let c be b(-10). Calculate the greatest common factor of 11 and c.
11
Let o be (-8)/(-6)*(-2 - -5). Let l = o + -8. Let b be l/(24/(-363))*2. Calculate the highest common factor of b and 11.
11
Suppose -4*f + 4*w = 6*w - 140, 4*w - 82 = -2*f. Suppose -4*g = 4*u - 24, -3*g + 17 = -3*u - 31. Calculate the highest common divisor of f and g.
11
Let r be 286/10 + 1 + 6/15. Calculate the highest common divisor of r and 12.
6
Let k(m) = 3*m**3 - 4*m**2 - 3*m + 3. Let f be k(4). Suppose -36*c = -40*c + 68. Calculate the highest common factor of c and f.
17
Suppose 0 = -17*j + 21*j - 264. Suppose -h + 8 = -k + 1, 3*h - k = 19. Calculate the greatest common factor of h and j.
6
Let n(j) be the first derivative of -j**3/3 - 2. Let q be n(0). Suppose q = -f + 11 + 2. Calculate the greatest common factor of 104 and f.
13
Suppose 17 = 5*p - 18. Let b = -5 + p. Suppose -4*i - 2*y = -4, -b*i = 3*i - 4*y - 31. What is the highest common divisor of i and 6?
3
Let o = 25 - 24. What is the highest common factor of o and 1?
1
Let j be ((-12)/(-10))/(6/(-30)). Let g(i) = i**2 + 7*i + 3. Let u be g(j). Let x = u - -9. What is the greatest common factor of 15 and x?
3
Suppose -2*u - 2*u = 0. Let f be (u/3)/2 + 0. Suppose f - 4 = -4*p. Calculate the greatest common divisor of 8 and p.
1
Let y(v) = -2*v - 4. Let l be y(-4). Let f = l - 2. Suppose 9 = f*a + 1. Calculate the greatest common factor of 1 and a.
1
Let j be (-3)/(-3) - (-4 - -4). What is the greatest common factor of 9 and j?
1
Let o = 12 - 6. Calculate the greatest common factor of 2 and o.
2
Suppose -4*i + 5 + 3 = 0. Suppose -5*r + 74 = 3*g - 33, 0 = -i*r + g + 45. Let c be (-1*1)/((-1)/33). Calculate the greatest common divisor of c and r.
11
Let x(t) = 45*t**2 + 1 + 7*t**2 + 22*t**2 + 10*t**2. Let v be x(-1). What is the greatest common divisor of v and 17?
17
Let a(m) = -8*m - 37. Let o be a(-16). Let b(w) = -7*w - 1. Let r be b(-2). Calculate the highest common divisor of o and r.
13
Let c = -38 - -21. Let p = c - -29. Let v = 78 - p. What is the greatest common divisor of v and 6?
6
Let p be 11/3 - 3/(-9). Suppose -3*v - 17 = p*w - 6*v, -2*w = -4*v + 16. Let b be (5/w)/(2/(-4)). Calculate the highest common factor of 25 and b.
5
Let f(m) = -m**2 + 6*m - 5. Let i be f(4). Let g = i - -4. Let n = 1 + g. What is the highest common factor of 2 and n?
2
Suppose -3*i = 2*w - 7*w - 53, -w + 18 = 2*i. Calculate the greatest common factor of i and 1.
1
Let n be 26/(-6)*(-6)/(-4)*-28. What is the highest common factor of n and 26?
26
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