
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 square:

$\begin{tabular}{|c|c|c|} \hline 60 & b & c \\ \hline d & e & f \\ \hline g & h & 3 \\ \hline \end{tabular}$

This square is a multiplicative magic square, meaning the product of the numbers in each row, column, and diagonal equals the same constant $P$. Moreover, $e = 6$. Determine the sum of possible values of $g$ if all entries are positive integers.
A) 38
B) 48
C) 52
D) 68

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