
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Ada and Luisa train every day, each always running at the same speed, for the big race that will happen at the end of the year at school. The training starts at point $A$ and ends at point $B$, 3000 meters apart. They start at the same time, but when Luisa finishes the race, Ada still has 120 meters left to reach point $B$. Yesterday, Luisa gave Ada a chance: "We start at the same time, but I start some meters before point A so that we arrive together." How many meters before point $A$ should Luisa start to finish together with Ada?

Present the answer in LaTex format: \boxed{Your answer}
user