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Let \(x\) and \(y\) be integers, satisfying \((xy)^2 = (x+y)^3 - 13\).

Compute \(x+y\).

Let \(x\) and \(y\) be integers satisfying \(x^3 - y^2 = 11\).

Find the sum of all possible values of \(x\) satisfying this equation.

Two small pieces are cut out of a spherical orange:

As shown, a circle has 2 chords AB = CD.

Are the yellow and blue areas always equal?

The above are 3 squares of distinct integer lengths, the smallest of which is 1.

Rearranging the 3 squares as in the diagram below, we find that the blue and ...

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