
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
Calculate:  
(1) $$\sqrt {x^{2}-6x+9}$$\-|4-x| (when $x<3$);  
(2) $\log_{2}(4^{7} \times 2^{5}) + \log_{2}6 - \log_{2}3$;  
(3) $$0.0081^{\frac{1}{4}} + (4^{-\frac{3}{4}})^{2} + (\sqrt{8})^{-\frac{4}{3}} - 16^{-0.75}$$.

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