
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
Find the value of $b$ such that the equation in base $b$ holds true:
$$
\begin{array}{c@{}c@{}c@{}c@{}c@{}c}
&&5&3&2&4_b\\
&+&6&4&7&3_b\\
\cline{2-6}
&1&2&5&3&2_b.\\
\end{array}
$$

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