
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^3^ + $\frac {3}{2}$x^2^ - 4ax + 1 (a ∈ R).
(I) If the function f(x) has two extreme points, both less than 0, find the range of a.
(II) If the function h(x) = a(a - 1)lnx - x^3^ + 3x + f(x), find the monotonic intervals of the function h(x).

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