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Consider a positive integer $N$ written in base $b$. A sequence is generated from this number by finding the largest digit $d$ in the expansion of $N$ and writing ...

Suppose you have a programming language $\mathcal L$ designed to efficiently perform calculations with real numbers. In particular, it allows for the definition of (computational, deterministic) functions which take one ...

You may have encountered a problem on Brilliant about seating people around a long table made out of n-sided tables of equal side lengths. This one goes a little bit ...

$\begin{array} { l l l l l } & & A & B \\ & & C & D \\+ & E & F & G \\ \hline & H & I & J \\ \hline \\ \end{array}$

Given that $A$ is a 5-digit number and that $\dfrac{8A}{5}$, $\dfrac{9A}{5}$, $\dfrac{21A}{5}$ and $\dfrac{39A}{5}$ are all 5-digit numbers with the same 5 ...

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