
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
Given that the positive integer $m$ has the following decomposition rule for its cube: $({1^{3}} = 1)$; $({2^{3}} = 3 + 5)$; $({3^{3}} = 7 + 9 + 11)$; $({4^{3}} = 13 + 15 + 17 + 19)$; $…$ If the smallest number in the decomposition of ${m^{3}}(m \in {N^*})$ is $91$, then the value of $m$ is.

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