I was having this exact issue with my dd and my dh pointed out that I shouldn't be arguing with her. I should just tell her what was expected and that was it. If it wasn't done without arguments, there would be consequences, period. We sat her down and explained what was expected, from this moment forward. We even made a written statement of consequences (so there'd be no misinterpretations) and hung it right on the fridge. Nothing long, just short and simple.
It was so freeing for me! I was free to stop arguing. I just cut her off, reminded her of the consequences, and if she continued, I handed them out. Period. That was it. If she still continued, I sent her to her room until she was ready to comply. If her work wasn't getting done, she'd have to do it at night with Dad. She really hated that because the rest of us were free while she had to continue working. She'd have to sit there until it was done. We would be very pleasant during the evening 'sessions', we were available if she needed help and we wouldn't argue. If she started we'd just walk away.
It took about a week and a half, but she realized that I just wasn't going to argue with her anymore and she stopped. That was the year before last, and she just does her work now, now problem.
Our consequences were extra math drill, housework, no screen time and early bed. But that would really depend on what hits home for your child.