
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 parallelogram $ABCD$, let $O$ be the intersection of diagonals $\overline{AC}$ and $\overline{BD}$. Suppose that angle $CAB$ is thrice angle $DBA$ and angle $DBC$ is twice angle $DBA$. If angle $ACB$ is $s$ times as large as angle $AOB$, find $s$.

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