
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) $0.027\;^{ \frac {1}{3}}-\left(- \frac {1}{7}\right)^{-2}+2.56\;^{ \frac {3}{4}}-3^{-1}+\left(\sqrt {2}-1\right)^{0}$
(2) $\frac {\log 8+\log 125-\log 2-\log 5}{\log \sqrt {10}\log 0.1}$.

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