
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
Consider the following multiplicative magic square, where each row, column, and diagonal product equals the same value:

$\begin{tabular}{|c|c|c|} \hline 75 & \textit{b} & \textit{c} \\ \hline \textit{d} & \textit{e} & \textit{f} \\ \hline \textit{g} & \textit{h} & 3 \\ \hline \end{tabular}$

All entries are positive integers. Determine the possible values for $h$ and their sum.
A) 50
B) 75
C) 100
D) 125
E) 150

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