
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 $$f(x)=- \frac {1}{4}x^{4}+ \frac {2}{3}x^{3}+ax^{2}-2x-2$$ is monotonically decreasing in the interval \[-1, 1\] and monotonically increasing in the interval \[1, 2\],  
(1) Find the value of the real number $a$;  
(2) If the equation $f(2^{x})=m$ has three different real solutions, find the range of the real number $m$;  
(3) If the graph of the function $y=\log_{2}[f(x)+p]$ has no intersection points with the coordinate axes, find the range of the real number $p$.

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