to find the source of mistakes or problems
誤りや問題の原因を追跡する (ayamari ya mondai no gen'in o tsuiseki suru)
"Our developers worked late to track down errors in the system."
"私たちの開発者はシステムの誤りを追跡するために遅くまで働きました。" (Watashitachi no kaihatsu-sha wa shisutemu no track down errors no tame ni osoku made hatarakimashita.)
to encourage new ideas and technologies
to study something intensively before an event
to make changes happen despite opposition
to learn or become stronger from emotional difficulties
to reduce taxes on imports or exports
to talk to someone; to address or scold someone