
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 cube of a positive integer $m$ can be "split" into odd numbers in the following manner: $1^{3}\\{1,2^{3} \\begin{cases} 3 \\\\ 5\\end{cases},3^{3} \\begin{cases} 7 \\\\ 9 \\\\ 11\\end{cases},4^{3} \\begin{cases} 13 \\\\ 15 \\\\ 17 \\\\ 19\\end{cases}\\}\\) and so on. If the "split" of $m^{3}$ contains the odd number $2015$, what is the value of $m$?

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