
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 $f(x)=x^{3}+bx^{2}+cx+d$ whose graph passes through point $P(0,2)$, and the equation of the tangent line at point $M(-1,f(-1))$ is $6x-y+7=0$.  
(Ⅰ) Find the expression for the function $y=f(x)$;  
(Ⅱ) If the function $g(x)=\frac{3}{2}x^{2}-9x+a+2$ and $y=f(x)$ have three distinct intersection points, find the range of values for $a$.

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