Help defining terms and filling in calculator

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I was able to get the following info and there are differences can someone help me Define the terms so I can fill in the lease calculator.

Dealer given info:
2019 BMW 540i X Drive M sport
36 month 15k/ year lease
MSRP $ 72,085.00
Invoice cost (sell price) $ 67,760.00
Current deals $ 4000 off on a lease
RV 57%
MF not give.
Buyout at end of lease is $ 41,088.00
Monthly Lease price including Nassau county sales tax (8.625%) is $850.00 / month. Only drive off payments are for new plates, first month and wheel and tire insurance and extra brake maintence.

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Additional info off the Edmunds site for June 2019
MF .00165
57% RV
3500 lease credit
2000 loyalty credit (I am a returning leased)

Given the mix of info above can you please help me come up with the correct monthly payment(with tax) before any of the listed up front costs.

Also if you would help a newbie learn by defining the terms so I can fill in the leasehacker calculator. If you could let me know what numbers you used on each line so I can duplicate the results in front of the dealer if necessary.

Thanks very much !

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