He failed the exam and is terribly depressed.
I was terribly tired yesterday.
He was extremely angry.
She was awfully surprised at the news.
My head has been hurting terribly since yesterday.
I was utterly exhausted after moving.
非常に is a formal, neutral intensifier used in writing and speech, whereas 酷く specifically implies something bad or severe.
甚だ is a literary, formal intensifier often used with negative or regrettable situations, much like 酷く but more bookish.
すごく is a casual, all-purpose intensifier that can be positive or negative, while 酷く is used mainly for negative or severe situations.
ひどく means 'terribly, severely' and simply intensifies a negative quality, whereas どうにも in this sense adds a nuance of being beyond help or unbearable.
ひどく often carries a negative or excessive nuance ('terribly'), whereas 痛く is more neutral in tone despite its formality.
ひどく means 'terribly' or 'severely' in a general sense, while 散々 often implies a prolonged or repeated negative experience.
Standard kanji form, though It is usually written in kana.
Rarely used kanji form.
Adverbial form of the adjective ひどい (terrible, cruel). The kanji 酷 carries the meaning of 'severe' or 'cruel', while 非道 literally means 'unjust path', but the kana spelling is most common.