
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
Simplify the expression:  
\\((1)0.064^{-\frac{1}{3}}-(-\frac{1}{8})^{0}+16^{\frac{3}{4}}+0.25^{\frac{1}{2}}\\)  
\\((2)\frac{1}{2}\lg 25+\lg 2+(\frac{1}{3})^{\log_{3}2}-\log_{2}9 \times \log_{3}2.\\)

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