Find the remember when `5^(99)` is divided by 13.

Find the remainder when 27^(40) is divided by 12.

The polynomials f(x)=x^4-2x^3+3x^2-ax+b when divided by (x-1) and (x+1) leaves remainder 5 and 19 respectively. Find the value of a and b hence, find the remainder when f(x) is divided by (x-2)

If p(x)=x^4-3x^2-ax+b is a polynomial such that when it is divided by x-1 and x+1, the remainders are 5 and 19 respectively. Then find the remainder when p(x) is divided by (x-2)

If a is the remainder when 5^(40) is divided by 11 and b is the remainder when 2^(2011) is divided by 17 , the value of a + b is

Find the remainder when x^51 + 51 is divided by x + 1.

If 5^(99) is divided by 13, the remainder is

Find the remainder when x^3+4x^2+4x-5 is divided by x=0.

Find the remainder when sum_(r=1)^(n)r! is divided by 15 , if n ge5 .

Find the remainder when x^3+3x^2+3x+1 divided by x+1

Find the remainder when x^3+3x^2+3x+1 divided by x-1/2