YOU SAID:
I am studying for an exam that I'll take next week
INTO JAPANESE
私は来週に受けようとする試験のために勉強しています
BACK INTO ENGLISH
I am studying for the exam I will accept next week
INTO JAPANESE
私は来週に受け入れる試験のために勉強しています
BACK INTO ENGLISH
I am studying for exams to accept next week
INTO JAPANESE
来週の受験を勉強しています
BACK INTO ENGLISH
I am studying the exam next week.
INTO JAPANESE
私は来週試験を勉強しています。
BACK INTO ENGLISH
I am studying the exam next week.
That didn't even make that much sense in English.