
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 $x=1$ is an extreme point of the function $f(x)=\frac{1}{3}ax^{3}-\frac{3}{2}x^{2}+(a+1)x+5$.
(I) Find the analytical expression of the function $f(x)$;
(II) If the curve $y=f(x)$ intersects with the line $y=2x+m$ at three points, find the range of values for the real number $m$.

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