My sister hates to (do,doing) your English homework but she’s getting better

Fill: My sister hates to do your English homework, but she’s getting better.

Notes:

• Both forms are possible after hate, with subtle nuance:
  • hate to do something: expresses reluctance about doing it.
  • hate doing something: expresses a general dislike of the activity.
• If you want to emphasize improvement at the task, you could say:
  • My sister hates to do your English homework, but she’s getting better at doing it.
  • My sister hates doing your English homework, but she’s getting better at it.