### Always Two

Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.

### System Speak

Five equations... five unknowns... can you solve the system?

### Not Continued Fractions

Which rational numbers cannot be written in the form x + 1/(y + 1/z) where x, y and z are integers?

Do you know any values of $a$ and $b$ that satisfy $a^b=1$?