Hilbert's tenth problem

generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"

Class: Hilbert's tenth problem

Hilbert's tenth problem asks for a general algorithm to determine whether an arbitrary Diophantine equation (a polynomial equation with integer coefficients) has an integer solution, a task later proven to be undecidable.