I want to know the answer to the following question:
When did the reign of the last Western Roman Emperor end?
All the background I'm provided with is that "The Byzantine emperors maintained a claim over the territory, but none of the new kings in the west dared to elevate himself to the position of emperor of the west, Byzantine control of most of the Western Empire could not be sustained; the reconquest of the Italian peninsula and Mediterranean periphery by Justinian (r. 527–565) was the sole, and temporary, exception.". Is that enough to answer the question?
Answer: no