
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
In triangle $ABC,$ the side lengths $a,$ $b,$ and $c$ satisfy $a + 3b + 3c = a^2$ and $a + 3b - 3c = -4.$  Determine the largest angle of the triangle, in degrees.

Note: $a$ is the side length opposite $\angle A,$ etc.

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