
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
Evaluate:  
(1) If $x > 0$, find the value of $(2x^{ \frac {1}{4}}+3^{ \frac {3}{2}})(2x^{ \frac {1}{4}}-3^{ \frac {3}{2}})-4x^{- \frac {1}{2}}(x-x^{ \frac {1}{2}})$  
(2) $\log_5(\log_8 + \log_{10}1000) + (\log_2^{ \sqrt {3}})^2 + \log \frac {1}{6} + \log 0.06$

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