
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) = $\frac{1}{3}$x^3 - $\frac{1}{2}$(a^2 + a + 2)x^2 + a^2(a + 2)x, where a ∈ R.
(1) When a = -1, find the monotonic interval of the function y = f(x).
(2) Find the extreme points of the function y = f(x).

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