solvable

[sol-vuh-buhl]
adjective
1.
capable of being solved, as a problem.
2.
Mathematics. (of a group) having a normal series of subgroups in which successive quotient groups are Abelian.
3.
Archaic. soluble ( def 1 ).

Origin:
1640–50; solve + -able

solvability, solvableness, noun
nonsolvability, noun
nonsolvable, adjective
nonsolvableness, noun
unsolvable, adjective
unsolvableness, noun
unsolvably, adverb

1. insoluble, insolvable, unsolvable ; 2. solvable, soluble.
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World English Dictionary
solvable (ˈsɒlvəbəl)
 
adj
another word for soluble
 
solvability
 
n
 
solvableness
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
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Example sentences
There are no solvable philosophical problems that do not require the existence
  of a body in motion.
Neuroscientists and philosophers argue fiercely about how to solve the riddle
  and whether it is even solvable.
Even is every problem is eventually solvable by science, the decisions must
  remain with the public.
Students need to know that there is still low-hanging fruit, so to speak, of
  simple questions that are obviously solvable.
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