L.C.
I know what you mean...I have a 13 year old daughter (and a 6 year old daughter who now thinks she's 13). While we don't have some of the challenges you have, my daughter too has a very negative, sassy attitude. For my daughter, she seems to be much happier and more pleasant when she's involved and busy doing her music and sports. When she spends too much time texting or IMing on the computer, she gets pretty mean.
Have you tried getting her involved in sports or any other activities she might have interest in? It's not too late for her to reverse her bad decisions and get back on track.
Hang in there, talk to and listen to your daughter. It's not that she doesn't want to be with YOU, but you are the one who is there for her and you have to do both sides of the parenting, and that is a hard job. She loves you. She is, however, a teenage girl. Most of them don't like the person putting limits on their lives. She will outgrow this, probably soon. In the mean time, listen to her and be there for her. I know a great teen counselor if you're interested. (I'm absolutely NOT suggesting she needs it, sometimes it's just helpful to have someone else to talk to! That goes for you, too! :-) )
I hope some peace will come to you and your daughter very soon!