
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 + (a+1)x + 1]e^x.
(I) Find the value of 'a' such that the tangent line to the curve y = f(x) at the point (0, f(0)) is parallel to the x-axis.
(II) Find the range of 'a' such that f(x) attains its maximum value at x = -1.
(III) When a = 2, find the range of 'm' such that the function g(x) = mf(x) - 1 has 3 zero points. (Only the conclusion is needed)

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