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 $a^b=1$?