
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 functions $f(x)=x^{2}e^{x}$ and $g(x)=3e^{x}+a (a \in \mathbb{R})$, if there exists an $x \in [-2,2]$ such that $f(x) > g(x)$ holds true, determine the range of values for $a$.

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