INSOLUBILITIES
Scrabble letter values: I1N1S1O1L1U1B3I1L1I1T1I1E1S1 = 16
Definition
INSOLUBILITIES is the plural of INSOLUBILITY.
noun INSOLUBILITY: the property (of a problem or difficulty) that makes it impossible to solve.
Synonyms of INSOLUBILITY: unsolvability