i hate my mom?!?!?

My mom when I was younger. She use to make me get naked or pull my pants down and then she would hit me with the belt as punishment. Sometimes i had bruises on my butt or legs. When she would help me with my homework she would call me stupid or would hit me if I got the answers wrong. Shes done more stuff but I'll rather not list. Now as a teen I can't stand her. When she yells me, I yell back but worser. Sometimes she looks like she wants to cry but I fell no remorse for her. The sad thing is when shes helping my sister. She calls her stupid and says these things to her. I cant help but say something to her. I honestly dont have friends that come over my house or that I go out with because I dont want them to meet my mom because i have this very strong dislike for her. Im honestly hoping when i start working and i raise enough for me to be able to live by myself and support myself. So i dont have to live with her.