Advanced Remainder question and 10th digit

Hi everyone,
I took the GRE two weeks ago. The quant part gets quite difficult. I don’t exactly remember the difficult ones, but I can recall the general questions. Basically, one asks the remainder of some weird exponent after the subtraction before dividing by a number , say (2^51-3)/5, which you can not get the answer using the calculator on the screen. How will we get the solution? Also, I believe another similar question is asking the 10th digit of the quotient, or something like that.

Does Greg have a recorded section dealing with these types of questions?

Thanks

These type of questions fall into pattern recognition. Greg has covered such questions in arithmetic series