
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
Observe the following equations: $23=3+5$, $33=7+9+11$, $43=13+15+17+19$, $53=21+23+25+27+29$, ..., if a similar method is used to decompose $m^3$ and the last number on the right side of the equation is 131, then the positive integer $m$ equals \_\_\_\_\_\_\_\_.

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