
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
For the power of $n$ of natural numbers $m$ greater than or equal to 2, there is the following decomposition method:  
$2^2 = 1 + 3$, $3^2 = 1 + 3 + 5$, $4^2 = 1 + 3 + 5 + 7$  
$2^3 = 3 + 5$, $3^3 = 7 + 9 + 11$, $4^3 = 13 + 15 + 17 + 19$  
According to the decomposition rule above, $5^2 = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$;  
If the smallest number in the decomposition of $m^3$ ($m \in \mathbb{N}^*$) is 21, then the value of $m$ is $\_\_\_\_\_\_$

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