Mathematical problem

A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics. This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems.
It can also be a problem referring to the nature of mathematics itself, such as Russell's Paradox.

The result of mathematical problem solved is demonstrated and examined formally.