I would suggest that you try to solve the standard cube 3*3*3 using this motion: R u',
here "u" - a turn one middle layer of the perpendicular to R-face. it is possible!
For you not allowed to make additional turns faces, you can only rotate cube.
this is hard problem - good luck!
Two of my friends have solved this problem.
you can use simple simulator: http://sxak.amikeco.ru/rubikur.zip
also possible solve the cube using a few other "universal" formulas:
1) R2 U R2 - this is true hard core problemm
2) any Lambda formula: U R U' L U2 R' U R U2 R' L' - simple problemm
3) R U R2 F D R' D' R2 F' or R U2 B L U' L' U2 B' R' -
You can find other "universal" formulas?