
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 $f(x) = \begin{cases} \ln x, & x > 1 \\ 2x + \int_{0}^{m} 3t^{2} \, dt, & x \leq 1 \end{cases}$, and $f(f(e)) = 10$, calculate the value of $m$.

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