
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. $0.0001^{-\frac{1}{4}} - 27^{\frac{2}{3}} + \sqrt[3]{\left(\frac{27}{8}\right)^{2}}$;
2. $\log_{3}\frac{\sqrt[4]{27}}{3} + \log_{10}25 + \log_{10}4 + 7^{\log_{7}2} + \log_{2}3 \times \log_{3}4$.

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