
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) Evaluate the expression ${0.027}^{-\frac{1}{3}} - {\left(-\frac{1}{7}\right)}^{-2} + {256}^{\frac{3}{4}} - {3}^{-1} + {\left(\sqrt{2}-1\right)}^{0}$.

(2) Evaluate the expression $\frac{\log 8 + \log 125 - \log 2 - \log 5}{\log \sqrt{10} \log 0.1}$.

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