
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: 
$$
\begin{array}{c@{}c@{}c@{}c@{}c@{}c@{}c}
  & & 9 & 8 & 7 & 6 & 4_h \\
+ & & 6 & 9 & 8 & 5 & 5_h \\
\cline{2-7}
  & 1 & 7 & 9 & 6 & 2 & 9_h \\
\end{array}
$$

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