
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 \( h \) such that the following equation in base \( h \) is true:
$$\begin{array}{c@{}c@{}c@{}c@{}c@{}c}
&&8&3&2&7_h\\
&+&9&4&6&1_h\\
\cline{2-6}
&1&9&2&8&8_h.\\
\end{array}$$

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