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The \(\triangle ABP\), \(\triangle BCQ\) and \(\triangle AQR\) satisfy the following:

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Recently, I've been messing around with factorials (mainly because I was just told that \(x! \approx (\frac{x}{e})^x\times\sqrt{2\pi x}\)). I came across a ...

Let \(a_1,a_2,...,a_9\) be reals such that ...

In the country of Xan there are three classes of people:

Knights who always tell the truth.

Knaves who always lie and

Jesters who sometimes tell the truth and sometimes ...

What is the smallest positive integer that is the sum of 2 distinct cubes in 2 different ways?

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