Suppose 13*f + 1 - 16 - 24 = 0. What is the remainder when 289 is divided by f?

Let w(g) = 21*g - 11. Let u be w(8). Suppose -18*n - u = -1165. What is the remainder when 218 is divided by n?

50

Let n = 15 + 3. Suppose -7*m = -n - 10. What is the remainder when ¹⁵⁴⁄₁₂ + ¹⁄₆ is divided by m?

1

Suppose -5*q - 99 = -5*o - 294, 3*o = -4q - 96. Let p be ³⁄₂(-48)/o. Suppose 3*u + p*u = 35. What is the remainder when 26 is divided by u?

5

Let u = 519 - 462. What is the remainder when 511 is divided by u?

55

Suppose -5*q - 79 = 11. Let l(w) = 2*w + 40. Calculate the remainder when 15 is divided by l(q).

3

Let m be (-12 + 13)/(2*-1 - -1). Let v = m - -5. Calculate the remainder when 10 is divided by v.

2

Let s(h) = 2*h3 - 17*h2 + 53*h - 667. What is the remainder when s(18) is divided by 179?

178

Let f(z) = 2*z3 - 18*z2 - 7*z + 4. Let g be f(8). Let d = 232 + g. Let s(t) = -2*t3 - 5*t2 - 3*t. What is the remainder when d is divided by s(-3)?

16

Let l(f) = -5*f3 + 4*f2 + 2*f - 10. Calculate the remainder when 709 is divided by l(-2).

37

Let p(x) = x**2 - 7*x + 10. Let k be p(14). Suppose 6*h = 3*h - k. Let q = -28 - h. What is the remainder when 31 is divided by q?

7