I have a 1995 Lexus ES300 with 126,000 miles that I bought used in May. It started doing this weird thing a few months ago where if it isn't cold, or fully hot, it has trouble staying on when starting if I don't rev the engine a bit. If I start the car cold, it starts up fine. If it's at full temp, it starts up fine. If I go inside somewhere for a bit, like to get groceries, and the car starts to cool down to an in between temperature, when I try to start it, it will die if I don't immediately start revving it for a few seconds. The weird thing is, I used to have a 1990 Toyota Camry XLE that did the same thing, except for the Camry to not die, I had to keep revving until the car heated up again. I think a mobile mechanic replaced the starter on my Camry, but I think I remember that only helping for a few months, then the problem came back. I recently used a Topdon ArtiBattery 101 to test the battery, starter, and alternator, and it said they're fine. I thought maybe it's a fuel system problem, but I haven't checked that yet. The battery terminals aren't corroded at all, but there's a dark red goop on them. I assume that's a protectant someone used a long time ago. I would replace the terminals, but there isn't quite enough slack to do it the way I know how.