
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
The sum of the first $n$ terms of an arithmetic sequence ${a_n}$ is $S_n$. Given that $a_{m-1} + a_{m+1} - a_{m}^2 = 0$ and $S_{2m-1} = 38$, find the value of $m$.

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