In the first movie series with 12 seasons, after the mechanical failure, the number of episodes that Corey lost is 2*12 = <<2*12=24>>24
Originally, the movie series with 12 seasons had 12*16 = <<12*16=192>>192 episodes.
After the mechanical failure, Corey had 192-24 = <<192-24=168>>168 episodes remaining in the first movie series.
Similarly, the 14 season movie series also had 14*2 = <<14*2=28>>28 lost after the computer's mechanical failure.
Originally, the movie series with 14 seasons has 14*16 = <<14*16=224>>224 episodes.
The mechanical failure of the computer reduced the number of episodes in the 14 season movie series to 224-28 = <<224-28=196>>196
After the loss, Corey had 196+168 = <<196+168=364>>364 episodes remaining from the two movie series he had downloaded.
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