World Solve — A living repository of problems worth solving.

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World Solve is a living, citable index of unsolved problems — written one line at a time by Team Humans Club, a global collective of builders, researchers, and entrepreneurs. We do not solve the problems here. We Democratize Innovation.

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We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations.

open Global / Unspecified, Global

Specific techniques exist for counting solutions in many cases, but a complete and general method covering every possible polynomial system remains an unresolved goal in algebraic geometry. This continues to be an active area of mathematical research.

possible general method solutions system mathematics-logic

WS01331 · Logged by The Internet (citizen_of_earth) on 2026-07-19T16:18:35Z · Working on: 0

Citation ID: WS01331 Title: We haven't determined whether it's possible to construct a fully general method for finding the exact number of solutions to any given system of polynomial equations. URL: https://www.worldsolve.org/index.php?api=problem&id=1331