What least number must be subtracted from $5500$ to make it a perfect square?

$92^{2} - 12^{2} = 3535 + ?$

Find the least number which when divided by $12, 18, 36$ and $45$ leaves the remainder $8, 14, 32$ and $41$ respectively.

The number that must be added to $5555$ to obtain the least number of six figures exactly divisible by $357$ is:

Two baskets together have $640$ oranges. If $\frac{1}{5}$ of the oranges in the first basket are taken to the second basket,the number of oranges in both baskets becomes equal. The number of oranges in the first basket is:

What least number must be added to $1056$ so that the sum is completely divisible by $23$?