Definitions from Wiktionary (solvable)

▸ adjective:  Capable of being solved.
▸ adjective:  (mathematics) various senses relating to terminating sequences or computability:
▸ adjective:  (group theory, of a group) Having terminating derived series; see Solvable group on Wikipedia.Wikipedia
▸ adjective:  (Galois theory, of a Galois extension) Having a Galois group which is solvable.
▸ adjective:  (Lie theory, of a Lie algebra) Having terminating derived series (this is a distinct notion from the derived series of a group); see Solvable Lie algebra on Wikipedia.Wikipedia
▸ adjective:  (computer science, of a decision problem) Such that the set of inputs for which the answer is yes is recursively enumerable.
▸ adjective:  (obsolete) Capable of being dissolved or liquefied.
▸ adjective:  (obsolete) Able to pay one's debts.
▸ adjective:  (obsolete, rare) Capable of being paid and discharged.

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