
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 $f(x)=-3x^{2}+a(5-a)x+b$.
(1) Find the values of real numbers $a$ and $b$ when the solution set of the inequality $f(x) > 0$ is $(-1,3)$.
(2) If $f(2) < 0$ holds true for any real number $a$, find the range of values for real number $b$.

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