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It's probably a turbo hydramatic 350 or the more heavy duty turbo hydramatic 400
Turbo hydramatic
Turbo 425 Hydramatic front wheel drive
The optional transmissions were the Powerglide, the Turbo-Hydramatic 350 and 400.
A 1984 Pontiac Grand Prix comes standard with a 3-speed Turbo-Hydramatic transmission.