
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
$(1)(\frac{27}{8})^{-\frac{2}{3}}-(\frac{49}{9})^{0.5}+(0.2)^{-2}\times\frac{2}{25}-(0.081)^{0}(2)\frac{1}{2}\lg\frac{32}{49}-\frac{4}{3}\lg\sqrt{8}+\lg\sqrt{245}$

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