独力でこの問題が解けますか。

one's own effort

indicates location of action; at; in; indicates time of action; indicates means of action; cause of effect; by; and then; so; indicates continuing action; indicates certainty, emphasis, etc.

this (something or someone close to the speaker (including the speaker), or ideas expressed by the speaker)

question (e.g. on a test); problem; problem (e.g. societal, political); question; issue; subject (e.g. of research); case; matter; question (i.e. doubt); public discussion; controversy; trouble; problem; inconvenience; difficulty

indicates sentence subject (occasionally object); indicates possessive (esp. in literary expressions); but; however; still; and

to be solved; to loosen; to come untied; to be removed (e.g. restrictions); to be cleared (e.g. misunderstandings); to be broken (e.g. spells, curses); to melt

indicates a question (sometimes rhetorical); or; whether or not; some- (e.g. something, someone); indicates doubt, uncertainty, etc.; emphatic prefix; suffix forming adjectives or adverbs; in that way