
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 expressions:
1. $(1)(\frac{27}{8})^{-\frac{2}{3}} - (\frac{49}{9})^{0.5} + (0.008)^{-\frac{2}{3}} \times \frac{2}{25}$
2. $(2)\log_{10} 25 + \frac{2}{3} \log_{10} 8 + \log_{10} 5 \cdot \log_{10} 20 + (\log_{10} 2)^2$

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