問題【もんだい】
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
話題【わだい】
topic, subject, much talked about, topical, in the news, hot
課題【かだい】
subject, theme, issue, matter, homework, assignment, task, challenge, problem, question
宿題【しゅくだい】
homework, assignment, pending issue, unresolved problem, open question
放題【ほうだい】
(doing) as one pleases, to one's heart's content, letting (something) go unchecked, leaving uncontrolled, leaving (something) to take its own course
本題【ほんだい】
main topic, main subject, main issue, main question, this subject
議題【ぎだい】
topic of discussion, agenda
時間の問題【じかんのもんだい】
matter of time, question of time
主題【しゅだい】
subject, theme, motif
題名【だいめい】
title, caption, heading
出題【しゅつだい】
setting a question (for an exam, quiz, etc.), setting a theme (for composition of poetry)
別問題【べつもんだい】
different thing, another question, different case
問題点【もんだいてん】
the problem (at issue), the point at issue, problematic issue, problem
社会問題【しゃかいもんだい】
social problem
題材【だいざい】
subject, theme
難題【なんだい】
difficult problem, challenge
問題意識【もんだいいしき】
awareness of the issues, (having a) critical mind, concerns
表題【ひょうだい】
title, index, heading, headline, caption
命題【めいだい】
proposition, thesis, notion, theory, problem, issue, challenge
副題【ふくだい】
subtitle, subheading