The programming/math puzzles idea is nice although it's quite different from what apophenia is so it would probably be a sister website. It's more hard to create those puzzles and the betting model would also need to be different most likely. I'll give it some thought... ;-)

The last one shouldn't be too hard I think btw, that's why I left it hintless. :-) It will get clear soon enough.

Here's the picture btw: