Remove hay string

The previous owner dumped hay string EVERYWHERE! It's embedded in the ground and even stops the dingo trencher and tractor plow.
Wondering about best way to remove it from the farm. I have a large 110hp tractor so have the horsepower but wonder what implement would best best to remove this nasty nylon string.

Oh good grief. Lived in Willapa valley for years and I have NEVER seen such idiots in my life regarding this string. I grew up on a dairy farm and was taught from a tender age to NEVER even consider throwing this junk on the ground. I am guessing it is mostly that orangish red sorta plastic crap. If it has melded into the ground you may need to resort to what was termed a 'bull prick' on the back of your three point. I guess a more polite term is a 'sub soiler'.

This is going to take a lot of time and may even take years depending on how slovenly your predecessor was. Monte is a pretty nice area out there and I wish you luck getting that junk out of your ground.