What is the cause for my vehicle to constantly pull/veer to the left?

What is your question?

Most evident (1) when stopped, then accelerate (2) press brake to stop at any speed (3) when driving (high or low speeds) constantly have to overcompensate right due to left pull/veer. I have had three different repair shop perform alignments (including Honda) and same problem. The vehicle was in a "near total" front-end collision several years ago. I took the car back to the collision repair shop and they could not find problem either. I would really like to drive my car in a straight line, please help!