Suppose x + 9 = 17*m - 13*m, 0 = -3*x + 5*m - 6. Let f(y) = 20*y**2 - 2*y + 2. What is the remainder when f(1) is divided by x?

2

Let p = 6689 + -6688. Suppose -3*k - 17 = -3*s + s, -k + 9 = 3*s. Calculate the remainder when s is divided by p.

0

Suppose 2*z = 3*q + 8, q + 3*q + 5*z - 20 = 0. Suppose q = 4*m - s - 63, 6*m - 5*s = 3*m + 43. Calculate the remainder when 92 is divided by m.

12

Let s = -1246 + 1289. Calculate the remainder when 251 is divided by s.

36

Let v(g) be the first derivative of g4⁄4 + 4*g3 - 11*g**2⁄2 + 32*g - 14. What is the remainder when 21 is divided by v(-13)?

3

Let c(g) = -2*g + 22. Let o be c(6). Let p = -8 + o. Let x = p + 4. Calculate the remainder when 10 is divided by x.

4

Suppose 38 + 94 = -4*y. Let b = 59 + y. Let v = -72 + 121. What is the remainder when v is divided by b?

23

Calculate the remainder when 2788 is divided by 311⁄10 + ((-39)/(-10) + -1 - 3).

29

Let v(k) = 7*k - 10. Let i = -1 - -5. Suppose 2*c = 6, 0 = 3*l - c + 3 - 12. What is the remainder when v(i) is divided by l?

2

What is the highest common factor of 438 and 14224269?

219