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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.

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System Speak

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

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Not Continued Fractions

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

Mega Quadratic Equations

Age 16 to 18 Challenge Level:

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