How to say "solve" in Japanese

• 解き明かすときあかす
  godan verb, transitive verbCovers the sense of solving by unraveling something mysterious or hidden — a puzzle, riddle, or the truth behind events. It carries the image of uncovering and revealing what was concealed, so it suits enigmas rather than routine tasks.
  父ちちの懐ふところにおられる一人ひとり子この神かみが、神かみを解き明ときあかされたのである。↗

  But God the only begotten Son, who is at the Father's side, has made him known.
• 片付けるかたづけるJLPT N4approx.Common
  ichidan verb, transitive verbThe everyday word for dealing with and settling a matter or problem so it is out of the way — chores, business, disputes, pending issues. When 'solve' simply means 'get the problem handled', this is the word you want.
  あなたはその技術的ぎじゅつてきな問題もんだいをいつ片かたづけたのですか。↗

  When did you get through with your engineering problem?
• 判ずるはんずる
  ichidan verb (-zuru), transitive verbA marginal match for 'solve': it really means to decipher, puzzle out, or interpret something cryptic — a riddle, coded message, or hidden meaning. It is seldom the word for solving problems in general.
• 判じるはんじる
  ichidan verb, transitive verbA variant of the previous word with the same meanings, and likewise a marginal match for 'solve'. Use it for deciphering or puzzling out something obscure, not for solving ordinary problems or matters.

For practical problems use 「片付ける」; for unraveling mysteries or secrets use 「解き明かす」; 「判ずる」 and 「判じる」 are marginal, chiefly for deciphering or puzzling out rather than everyday 'solve'.

Usage comparisons are AI-assisted and cross-checked by multiple models; for study reference only

• 解き明かすときあかすto uncover
• とくto solve
• 片付けるかたづけるto settle (a matter)
• 判ずるはんずるto solve
• 判じるはんじるto solve