We will do our best to solve this problem.

My personal thought is that everyone should be treated equally.

He values his private life.

He was born as an illegitimate child and experienced many difficulties.

My grandfather used to till his privately-owned rice field.

He holds a personal grudge against me.

Using the private railway makes commuting very convenient.

I received a notification of the finalization of the tax return.

From his actions, I thought it was a sure thing (Internet slang).

Linear programming is a part of operations research and is used to find the optimal solution.