There is no simple answer to this question. It depends on the order of operations and whether or not x is a power of two. Some general approaches include:
x = (-1)^n if n is an odd number, otherwise x = 1;
(x modulo y) * 2 ^ y if x and y are coprime, otherwise (x modulo y) * 2 ^((y+1)/2).
Each approach has its own advantages and disadvantages. A few examples will help illustrate the point.
In the case where x is an odd number, x = (-1)^n can be used as the multiplier in modulo calculations. This approach works because -1 is an odd number and n can beritten as aproduct of two even integers, so there is an inverse relationship between n and x. Because both n and x are odd numbers, any division by n results in a remainder of 1. Thisremain