If you solve a problem without showing steps, it’s basic algebra.
If you solve a problem and still doubt your own answer, it’s calculus.
If you solve a problem and create three new problems in the process, it’s linear algebra.
If you solve a problem, your friend solves a different problem, and somehow both are the same problem, it’s abstract algebra.
If you solve nothing, understand nothing, yet feel spiritually transformed…it’s Topology.