
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 value of the following expressions:  
(1) $\log_{4} \sqrt{8} + \lg 50 + \lg 2 + 5^{log_{5}3} + (-9.8)^{0}$;  
(2) $\left(\frac{27}{64}\right)^{\frac{2}{3}} - \left(\frac{25}{4}\right)^{0.5} + (0.008)^{-\frac{2}{3}} \times \frac{2}{5}$.

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