Choose the best phrase to complete the dramatic student's complaint.

I can't possibly go to the movies tonight! I have ___ homework to finish before tomorrow morning.

The correct answer is a lot of.

"Homework" is an uncountable noun. In affirmative (positive) sentences, "a lot of" is the most natural and common choice for both countable and uncountable nouns. "Many" is incorrect because it is only for countable nouns, and "a lot" is missing the preposition "of".