Prozac is an anti-depressent not a mood stabilizer so sometimes with people with bipolar it can worsen mania. Lamictal is a good mood stabilizer but for some people with bipolar it treats the depressive aspect of bipolar better than it does mania. Speak to the psychiatrist about all this. In the meantime, for information on mood stabilizers and bipolar in general we have some websites linked up for clinically accurate but consumer friendly information at the welcome page.
First off, let your daughter know she's not alone. We have a good community here and we have teens here with bipolar. She is welcome to come and talk to us, too, if she has questions or just feels isolated.
I also have racing thoughts and repetative thoughts. I get stuck in loops. This causes me high anxiety and worry. I also have confusion, forgetfulness, and frustration, and my thinking gets very disorganized. All of these things make it hard for me to work. It is hard for me to stay on task because my brain is moving so fast.
Right now I'm taking lithium and I'm hoping to see a difference. The medication will help her but she may need an adjustments. Also it takes about 2 weeks for the effects to start showing. Is she in talk therepy? Although a psychologist or a therapist who specializes in bipolar can't change her meds, they can help her with talk therapy. A combination of meds and talk is the best.
Keep us posted. I hope she starts doing better.