
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 the function $f(x) = (x^2 + mx + m)e^x$.
1. If $m=1$, find the intervals of monotonicity for the function $f(x)$.
2. If $m < 2$, and the maximum value of the function $f(x)$ is $10e^{-2}$, find the value of $m$.

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