
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 $f(x)$ is a quadratic function, and the solution set of the inequality $f(x) < 0$ is $(0,5)$, and the maximum value of $f(x)$ in the interval $[-1,4]$ is 12.  
(Ⅰ) Find the analytical expression of $f(x)$;  
(Ⅱ) Solve the inequality with respect to $x$: $$\frac {2x^{2}+(a-10)x+5}{f(x)} > 1 \quad (a < 0)$$.

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