This is just an advanced linear game so set it up with a basic slot diagram. We can start with our items.
FMOTV
rsp
RULES:
1. 1 =/= s (though at least one car does)
2. Exactly one p
3. 2 = 3
4. v< O and T
5. O---Mr----F
6. ?rMr
So when we combine rules 4 and 5 we know the basic sequence of the 5 cars:
V < O---M----F
T
(sorry if that's not clear but it's V before O and T and O before M and M before F)
So we know V must be in the first position on our diagram and we know that O or T must go in the second position. We also now know that F or T must go in the 5th position.
We also know that the latest M can go is in the 4th spot and our 6th rule tells us that the car washed immediately before M gets a regular wash. So position 3 MUST be a regular wash and therefore (rule #3) position 2 must be a regular wash.
So our final diagram should be: V O/Tr __r __ F/T
This might be one of those cases where the game takes some time to set up but the extra time spent on the front end saves you time in completing the game. Let me know if you have any other questions about specific problems.