
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 $f\left( x \right)=-3{{x}^{2}}+a\left( 6-a \right)x+6$.

(1) Solve the inequality $f\left( 1 \right) > 0$ in terms of $a$.

(2) If the solution set of the inequality $f\left( x \right) > b$ is $\left( -1,3 \right)$, find the values of the real numbers $a$ and $b$.

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