What did the mathematician need to get his apartment application approved?

In shadows deep, where secrets creep, a keeper of chains and whispered fears. Within its bounds, adventure stirs, yet escape is but a dream that blurs.

I leave dark trails across a page, or keep young piglets neatly caged.

My cat was just sick on the carpet. I don't think he's. . .

What is the sfw name of a robots backside? A ...