
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
The square

\[
\begin{tabular}{|c|c|c|}
\hline
25 & \textit{b} & \textit{c} \\
\hline
\textit{d} & \textit{e} & \textit{f} \\
\hline
\textit{g} & \textit{h} & 3 \\
\hline
\end{tabular}
\]

is a multiplicative magic square, meaning the product of the numbers in each row, column, and diagonal is the same. All entries are positive integers. Determine the sum of the possible values of $g$.
A) 30
B) 35
C) 40
D) 45

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