
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 the following:  
(1) Calculate the value of $$0.0081^{ \frac {1}{4}}+(4-^{ \frac {3}{4}})+( \sqrt {8})^{- \frac {4}{3}}-16^{-0.75}.$$  
(2) Calculate the value of $$\lg^{2}5+\lg2\lg50+2^{1+\log_{2}5}.$$

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