0 a situation that causes difficulties and that needs to be dealt with -- проблема
1 a question that you use mathematics to solve -- задача (в математике и т. д.)
2 to find something or someone annoying or offensive -- иметь проблемы с кем-л., чем-л.
3 something that you say to mean you can or will do what someone has asked you to do -- конечно! запросто!
Note that even if we rely on purely structural tests, this is a problem.
Reconstructive procedures, however, lie along a continuum, without any clear boundary between therapeutic reconstructive surgery for a diagnosable problem and purely cosmetic surgery.
An uncomputable problem might not be very interesting since the answer can never physically exist.
For this, we must rely on the physically-based model equation, and on comparisons with solutions (numerical) of the exact problem.
I come now to what is perhaps a more serious problem from a philosophical perspective.
Perhaps, moreover, a case can be made for saying that philosophical understanding is advanced, not by solving problems head-on, but by moving around them.
This allows the specification of a search space suitable for the solution of combinatorial problems, with ordinary relational algebra expressions defining constraints.
Validated solutions of initial value problems for ordinary differential equations.