
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 $f\_1(x) = (x^2 + 2x + 1)e^x$, $f\_2(x) = [f\_1(x)]'$, $f\_3(x) = [f\_2(x)]'$, ... , $f\_{n+1}(x) = [f\_n(x)]'$, $n \in \mathbb{N}^*.$ Suppose $f\_n(x) = (a\_nx^2 + b\_nx + c\_n)e^x$, find $b\_{2015}$.

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