Hello
Bicycle: mongoose - rockadile, old model, year ?,

oddity: the cartridge does remove from the non crank side.

non crank side seal and cartridge assembly screws in: clock wise

crank side seal screws in: counter clock wise.

From my mechanical experience in auto and other, the threads are in good condition. both sides screw in , screw out with out problems. from what i have seen on u tube the cartridge would should could insert / remove from the crank side.

Does any of the humans here know if this oddity requires a unique cartridge assembly.

or any other ?

After creating the first portion of this post and seeing a reply of: ' whats the problem '.

I apologize that do not have a phd in communication skills.

I have a new bottom bracket cartridge.

Before installing the new bottom bracket cartridge and cross threading because of the oddity of the cartridge being removed from the non crank side. While ninety nine percent of the show and tell videos show the cartridge being removed from the crank side.

I can look at the threads on the old and compare to the new as to which side the thread begins. left side - right side.
if the old cartridge came out of the non crank side and its threads begin on the left side while it screws in clock wise i would check the new to see if its threads begin on the left side.

And then check the opposite side that has the retainer seal cup that seats up against the cartridge on the inside, i do not know the tech name for the item.

And check with the local bike shop that i made the purchase of the square tapered bottom bracket.

Thank you

What's the problem ?

There indeed are some cartridge bottom brackets that have the cartridge insert from the non-drive side and the other cup from the drive side so this isn't unique. Another possibility is you have a cartridge like some of the older Shimanos that have both threaded cups removable and yours just has the non-drive side cup pressed onto the cartridge. And, yes English (by far the most common these days) threaded bottom bracket shells have left-handed threads on the drive side.

In any event, install it and ride.

Some Shimano cartridge bottom brackets insert from the left side with the "lock ring" on the right. Most new cartridges insert from the right with a "lock ring" on the left. It doesn't change the thread direction: the right side on your Mongoose is left-hand-threaded (counter-clockwise to tighten) while the left side is right-hand-threaded (clockwise to tighten).

Your BB is left threaded on the drive side and right threaded on the non drive side. That's a common BB standard. If you buy a new BB with the same threading, with the left threading on the cartridge and the right threading on the retaining cup, you can insert it from the drive side, no problem.

I'm still trying to figure out which is the non crank side. Both sides of all my bikes' Bbs have a crank on each side. Andy.

Cute. You are, of course correct but the OP freely admitted he was not familiar with bike terminology so we cut him some slack. Perhaps by now he has learned the correct names for the sides of a bike.

Do a Q&A in person at your local bike shop where they can see the thing.

Pictures always help. Some saying that a picture is worth a more than a few words...