What does umpteen mean?
Approximately, but not definitely, 25 or so... It means the person is tired of counting how many times something has occurred. For example the phrase, "I've told you for the umpteenth time to stop whining about all the homework you get." The person means (emphatically) that they do NOT wish to repeat their effort.
A degree is a level; it derives from the Latin word for a step. Umpteen is one of a number of number-words which do not mean a particular number, but mean "a lot". Another similar word is gazillion. But whereas gazillion implies that there are so many you cannot count them, umpteen suggests that there are a lot, but they are countable (they are in the range between ten and twenty).
Depends on model, and personal taste. I don't like BMW because I have never got comfortable in one. Also, as with many German cars, you see a reasonable price tag before discovering that the specification is so mean that you have to order umpteen options to make the thing bearable - hiking the price by thousands! Test them both and see.
How do ENT doctors manage to enjoy their profession in seeing umpteen diseased patients time and again?
many ANSWER abounding, alive with, bounteous, bountiful, copious, countless, crowded, frequent, innumerable, manifold, multifarious, multifold, multiplied, multitudinous, myriad, no end of, numberless, numerous, plentiful, populous, prevalent, rife, several, sundry, teeming, umpteen, uncounted, varied, various
Probably the best known anonym is Alan Smithee. This is the name that appears as director of a film or TV programme where the real director has washed his hands of the film and refuses to have his own name appear in the credits. As a result there are a couple of dozen Alan Smithee films and umpteen of "his" TV shows.