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As the title suggests, I'm looking for a math book that has some competition-style problems in it, with explanations on how to solve them. I have found numerous of other competitions online but the explanations are very not understandable for me. I am NOT talking about international competitions, but regional. This is high school math.

Here is an example:

Find all prime numbers p and q and a natural number r such that they satisfy the equation.

p

^{2}+ q

^{2}+pq = r

^{2}