As usually happens when rummaging through one's grandparents' attic, I unwittingly discovered a seemingly ancient papyrus manuscript. It was stored in an old tin box along with some utensils. I carefully removed and unfolded the paper and this is what I saw: What could it be?

At 1 I was born when my parents parted, And no folds were used. So that's how I started. At 2 I was famous since ages ago, But looked more like three and continued to grow. At 3 I was cover for some compressed files To get to your email and cause you to smile. At 4 I was nothing, so don't even st...

A tiling of an n × n square grid is formed using 4 × 1 tiles. What are the possible values of n? A tiling has no gaps or overlaps, and no tile goes outside the region being tiled.

A ladder of length $l$ rests against a vertical wall. Suppose that there is a rung on the ladder which has the same distance $d$ from both the wall and the (horizontal) ground. Find explicitly, in terms of $l$ and $d$, the height $h$ from the ground that the ladder reaches up the wall.

Find all the solutions to: $$\frac{1}{x}+\frac{2}{y}-\frac{3}{z}=1$$ where $x, y, z$ are positive integers.

In a colony of $(m n+1)$ mice, must at least one of the following statements be true? If so, why? There is a set $A$ of $(m+1)$ mice none of which is a parent of any other in the set. There is an ordered set $B$ of $(n+1)$ mice $a_{1}, a_{2}, \ldots, a_{n}, a_{n+1}$ such that $a_{i+1}$ is a pare...

An UNEQUAL WORD (patent pending) is a special type of word. You'll know it when you see it. Here are some examples, sponsored by the original, @JLee! EqÜal Words™ Not EqÜal Words™ equal unequal fauna flora anime fun briny desaturates serious unfunny want unguent fight nul gi...

I can't understand. I mean, I'm trying to be interesting. Maybe I'm just bad at this. Huh, maybe I should try clickbait... or something special... another type... no, not just another type... GOT IT! I KNOW HOW TO BE INTERESTING: SomeoneInExistence, nee Parz, presents: THE INTERESTING PUZZLE: Um....

The image below is the aftermath of a secret tournament of Monopoly played here on PSE. Akin to something that might come out of a subreddit like r/anarchychess, the board has been massively scrambled and edited due to the immeasurable amount of homebrew rules and mechanics. The only thing more s...