B. being

"I enjoy being alone." (The verb "enjoy" is followed by a gerund.)

B. come

"Would you like to come to the party?" (After "would like," the base form of the verb is used.)

D. traveling

"Do you mind traveling such a long way to work every day?" ("Mind" is followed by a gerund.)

C. to live

"I would hate to live there." (The phrase "would hate" is followed by the infinitive form.)

B. to come

"I would love to come to your wedding but it just isn't possible." ("Would love" is followed by the infinitive form.)

A. to learn

"Sometime I'd like to learn to play the piano." ("Like" is followed by the infinitive form.)

A. to post

"Please remember to post this letter." ("Remember" + infinitive means "to remember to do something.")

C. to put

"We tried to put the fire out but we were unsuccessful." ("Try" is followed by the infinitive when referring to making an effort to do something.)

D. to give

"When you see John, remember to give him my regards." ("Remember" + infinitive means "to remember to do something.")

C. to leave

"Someone must have taken my bag. I clearly remember it being left by the window and now it has gone." ("Must have" indicates a past action, and "left" is the correct past participle.)

C. to ask

"Jane needed some money. She tried to ask Harry but he couldn't help her." ("Tried" + infinitive means making an attempt to do something.)

C. to reach

"He tried to reach the shelf but he wasn't tall enough." ("Tried" + infinitive means making an attempt to do something.)

A. to phone

"Did you remember to phone Mary? - Oh no, I completely forgot." ("Remember" + infinitive means "to remember to do something.")