Patience, Patience, Patience...
I have 7 kids there kinda in two sets the oldest are 15,14,14,and 13 the younger three are 5,3 and 8 months and it goes boy, girl, boy , girl all the way down.
I have always found my girls to be more difficult, one parent suggested a chore chart that worked amazing for me I sat down once a month and put down exactly what they needed to do on each day of the week so they new exactly what was expected of them. I do not pay them for thier chores, they are a member of the house and contribute to the mess so they are expected to pull thier own weight, were they can earn money is on things that I need done and can't get too, like washing the car, mowing the lawn, cleaning off the porch that kind of stuff. Be very specific on your chart. Clean bedroom, pick-up bathroom ect....
Know to the half way part I found for my kids I would make a list of what cleaning your room meant....put toys in toys box, pick dirty clothes up and put in hamper, but clean clothes in there proper drawer you get the point. Then I bought those plastic cover's for term papers ( sorry I am having a brain fart and can't remember what they are called :) ) then I hung them in each room and they had to go down the list and check it off as they went ( white board markers work great for that) IF they didn't do thier chores before dinner they didn't eat I would give them a glass of milk and a slice of bread, that was the hardest part because as a mom you want them to eat, but it only took once, with the more stubborn ones it took a couple of times, after all if you want something from me you have to help because I can't do it all and I am outnumbered.
The mouthy part I really haven't mastered I tried the explaining thing but a lot of the problem is hormones and your daughter is just the right age were everything is going haywire and even they don't understand it, one thing I did learn that worked was ignoring them when anything they said came out as rude, and then tell them that I would listen when they had something a little nicier to say and in a manner that wasn't rude, at first that would really anger them but as soon as they understood I meant what I said it got better, (not towards each other but at least towards me).
Hope this helped and sorry it was so long but I didn't know any way to shorten it, also don't forget your 5 year old can do chores too just keep them age appropriate.