All These Many Treks...
So I was watching Enterprise last night, and it was a pretty good episode. Without spoiling too much (okay, actually I'm spoiling the whole thing), the ship was in need of repairs and found this alien repair station. The captain made a deal with the automated station to fix the ship, which it did wonderfully. However, the station kidnapped one of the crew, because it used living minds as part of its computer and, I guess, it needed another one. In the end, Captain Archer and company break in, rescue the crewmember, and blow up the station through trickery (bombs hidden in the goods they were trading for the repairs).

This episode got me wondering: How would the other Trek captains have dealt with this issue on their various series?

Original Series: Captain Kirk would beam over and give an impassioned speech to the station's computer, in which he would bring up all kinds of concepts it couldn't understand, such as love, death, and friendship. The computer's circuits would burn out, and Kirk would leave with all the station's captured computer-brain people (who would all look human), including his crewman.

Next Generation: Counselor Troi would sense great sadness from the computer. Captain Picard and company would negotiate with it, and learn that it thought using people was wrong, but it had no other recourse. Data would create a positronic brain for the computer so it wouldn't have to use people anymore. Then they would rescue all the captives (who would all look like humans with bumps on their foreheads) and everyone, including the computer, would end up happy. (And there would also be a subplot about something going wrong with the holodeck, or Wesley getting a girlfriend, or Wesley pretending to get a girlfriend on the holodeck.)

Deep Space Nine: In the early part of the show's run, Commander Sisko would give an impassioned speech to the station's computer and shame it into giving back all the captives (who would look like humans with a lot of makeup on). In the latter part of the show's run, they wouldn't have talked to the computer at all. Instead they'd fly in with the Defiant's quantum torpedoes (or whatever) blazing, blowing the crap out of the station.

Voyager: Oh, who cares? Actually, let's imagine the station would kidnap Neelix, but no one would rescue him. (And all the captives would have really weird hair along with a lot of makeup.)