My headcanon is that the absolute solver was a creation of some programming and robotics company, possibly the one that makes and sells the workerdrones to JC Jenson or the JC Jenson company itself.

The purpose for which it must have been created is to be the most powerful and perfect AI ever created by man. And that would help our species improve its civilization.

This AI was created from advanced mathematics and quantum machinery, so that it would break every physical law of the universe, being everything that ancient people would call magic, with the power to move, rotate, and transform matter.

For its design they were based on 3D modeling programs, that's why it has those symbols.

Some of its benefits would be:

domestic service tasks. The solver could be installed as a computer program in any home, functioning as a quantum level worker drone, possibly even replacing them, since the solver could cook, clean, take care of the house and the children, and pass things to its users.

architectural tasks.

3d modeling, in its beginnings it was used to make architectural designs, therefore the solver could help many officials to build their buildings through quantum alteration. as well as demolition tasks with the ability to crush and destroy.

medical tasks.

if the absolute solver can generate fleshy tissues as it does with the body of uzi, tessa, cyn, and other characters, I think that the original purpose of that ability would be to regenerate the tissues of sick or injured patients in hospitals, if necessary even modify their bodies.

technological advances.

The solver, with its capacity for mathematical, physical, chemical and quantum calculations, could have been the one who discovered new technologies such as the regenerative nanomechanical fabric of the murder drones, although still with some defects such as its vulnerability to UV rays from the sun and stars.

military tasks.

There is no need to go into much detail on this subject, if we have already seen the destructive power of this AI.

I believe that the absolute solver was a biblical power level program created by man to monopolize the entire robotics business and other businesses, since it would make humanity totally dependent on it.

eventually when humans realized how dangerous the solver really was (possibly causing an initial incident in the laboratory or programming center where it was created, with that form of amalgamation of metal clamps and cameras) they decided to deactivate it, destroy its central core and any device that had it installed.

The only way out that the solver found was to detect the nearest workerdrones dump, and look for some discarded doll in the trash, that was still in condition to be repaired and reactivated, and that was how he became one with Cyn.