B737-300 RPTR EXPERIENCED WAKE TURB FROM B757 WHO WAS 5 MI AHEAD OF HIM ON APCH TO MIA. ACFT RECEIVED 2 HVY JOLTS AND ROLLED 35 DEGS SEVERAL TIMES.

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ON DSCNT INTO MIAMI; WE ENCOUNTERED A VERY ABRUPT JOLT AS WE WERE DSNDING OVER SOME LOW LEVEL BUILDUPS. I ATTRIBUTED THIS JOLT TO THE WX. WE ROLLED APPROX 10 DEGS OF BANK AND I WOULD LIKEN IT TO MODERATE TURB. WITHIN 15 SECONDS WE HIT ANOTHER JOLT JUST AS STRONG. THAT ROLLED US INTO APPROX 20 DEGS OF BANK. ABOUT 10 SECONDS LATER WE REALLY GOT HIT AND WE ROLLED TO ABOUT 30-35 DEGS OF BANK. ON THE FIRST 2; AUTOPLT WAS ENGAGED. AFTER THIRD INSTANCE I DISCONNECTED EVERYTHING THINKING WE HAD A YAW DAMPER/RUDDER PROB; HOWEVER; THERE WERE NO INDICATIONS OF THAT INTERNALLY. I APPLIED FAIRLY AGGRESSIVE ROLL INPUTS TO LEVEL WINGS. THE FO ASKED MIAMI APCH WHAT KIND OF TFC WE WERE FOLLOWING AND SHE SAID WE WERE 6 MI BEHIND A B757. (IT MAY HAVE BEEN 5 MI; BUT I'M PRETTY SURE IT WAS 6 MI). WE ADVISED THAT WE WERE EXPERIENCING A VERY TURBULENT RIDE FROM HIS WAKE AND APCH ACKNOWLEDGED SAME. I JUST RETURNED FROM MY ANNUAL P.C. AND HAD JUST PRACTICED MY ADVANCED MANEUVERS TRAINING; AND I MUST SAY I REALLY THOUGHT WE WERE IN A POTENTIAL ROLLOVER SIT; EVEN THOUGH WE ONLY ROLLED ABOUT 30-35 DEGS. IT CERTAINLY GOT MY ATTN; AT NO TIME DID MIAMI APCH ADVISE US THAT WE WERE FOLLOWING A B757. AS A MATTER OF FACT THEY WERE TOO BUSY VECTORING ACFT FOR A LOC APCH TO RWY 30 (THAT HAD 2 CELLS ON THE LOC JUST OUTSIDE THE FAF). TO ACCOMMODATE DEP ON RWY 27. WE REFUSED TO ACCEPT THE RWY 30 APCH; BUT IT WAS ONLY AFTER 2 OR 3 REQUESTS FOR RWY 27R (NO WX); AND ONLY THEN DID THEY ACQUIESCE SAYING THAT ALL DEPS WERE NOW GONE. CALLBACK CONVERSATION WITH RPTR REVEALED THE FOLLOWING INFO: RPTR WAS A PARTICIPANT IN THE WAKE TURB CALLBACK PROGRAM.