
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 the given diagram, the sum of the three marked angles is $a^{\circ}$. Find $a$.

The sum of the interior angles of a convex $b$-sided polygon is $a^{\circ}$. Find $b$.

If $27^{b-1}=c^{18}$, find $c$.

If $c=\log _{d} 125$, find $d$.

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