ULTRA-LONG GAMMA-RAY BURSTS (ULGRBS) PRODUCE A GAMMA-RAY TRANSIENT MORE THAN SEVERAL THOUSAND SECONDS LONG FOLLOWED BY A DECAYING X-RAY AFTERGLOW. MUCH REMAINS UNCERTAIN ABOUT THESE RECENTLY-DISCOVERED EVENTS MOST NOTABLY WHETHER THEY ARE AN EXTREME TAIL OF NORMAL LONG GRBS OR REPRESENT A NEW CLASS ENTIRELY. OUR NUSTAR TOO OBSERVATIONS OF THE AFTERGLOW OF ULGRB 130925A UNVEILED A RICH AND UNEXPECTED PHENOMENOLOGY THAT MAY POINT TOWARDS THE ORIGIN OF THESE MYSTERIOUS EVENTS. NUSTAR'S SENSITIVITY AND WIDE BANDPASS MAKES IT THE BEST INSTRUMENT AVAILABLE TO CONSTRAIN MULTIPLE SPECTRAL COMPONENTS IN GRB AFTERGLOWS. WE REQUEST ONE NUSTAR TOO FOR AN ULGRB DISCOVERED IN CYCLE 4 TO CHARACTERIZE ITS AFTERGLOW SPECTRUM.