I got the hint that you wanted me to post here, so here's what I have to say. When I design using op-amps, I usually use at least 2 resistors, however you can ge away with using no resistors at all (make the op-amp a comparator). I can't see any practical point in using more than 7 resistors in an op-amp circuit.
If I can add my two sense in, I think that you may be overthinking this just a little bit.
Like I said; calculating the cut off frequency using the slew rate is the hardest part of op-amps, but I've never used this because my op-amps only have to tolerate very low frequency opperations (μHz).
Also, why do you need to analise op-amps with math? Are you making an op-amp simulator with a PIC, or is this for the little do-hickie you showed me and Mike?