
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
Triangle $ABC$ is equilateral. Point $M$ is marked on side $AC$, and point $N$ is marked on side $BC$, with $MC = BN = 2AM$. Segments $MB$ and $AN$ intersect at point $Q$. Find the angle $CQB$.

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