Let's see a picture of the back of your 582. If you have the aluminum rear there isn't any tiller that will work except for one that has the motor mounted to the tiller frame and you can pull it with the rear draw bar you use to pull trailers with.
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DWayne
1973: 128, ag tires, 3pt. lift, spring assist, lights, 42" Deck
10" moldboard plow
2016 XT1 42" deck 18HP
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