to stay awake all night to study or work
勉強や仕事のために徹夜する (benkyou ya shigoto no tame ni tetsuya suru)
"I had to pull an all-nighter to finish my assignment."
"宿題を終わらせるために徹夜しなければならなかった。" (shukudai o owarasero tame ni **tetsuya shinakereba naranakatta**.)
to make yourself feel brave enough to do something
to die (informal)
to improve your performance or effort
a small part of a much bigger problem
Being patient will eventually lead to positive results.
to be in constant conflict or fighting