B.C.
My kids' favorite was, "You treat me like a slave", especially after I asked them to stop playing their video games long enough to put the washed dishes back into the cupboard or take out the trash or clean up their room, etc.
Mother may be biological, but mom is caring, helpful, loving. Almost any woman can be a mother, but it takes someone special to be a mom.
If she got angry when you asked her to brush the tangles out of her hair, ask her if she would like you to help her brush the tangles out of her hair. Maybe her other mother used to do that and she would like to have the close feeling that brings.
Next time tell her . . . "No, its not my place to be your mother. Its my place to be your mom. I love you. Would you like some help?"
You treat me like nothing. "I'm sorry, but I can't treat you like nothing. I love you and I love your dad. Can I help you?"
I hate you. "I'm sorry you hate me now. That's not unusual for a teenager to hate their dad. But I love you and I'll always be here for you. Is there something I can help you with?" (And sometimes the added, "Now turn the TV off and do your homework." ;) )
You may not have the answer the first time, but each of those hate-filled coments will happen again. Then you'll have the proper quick answer. I think they get it from their friends at school or from LOUSY anti-family programming like "The Simpsons" and the "family guy", etc. Those programs were not allowed in out home and we had less problems in our home than those homes that watched that garbage.
Good Luck to you!!