1. You can use jQuery clone() to copy the entire form
jquery clone example[
^]
2. Then loop through each form and give a different id to each one of them
3. On click of the remove button, remove the respective form by making use of $(this)
I hope this would help you getting started. If you get stuck in somewhere, then please post a new question along with the code which was not working properly for you while working on it.