
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)\\) $\lg 8+\lg 125-\left( \frac {1}{7}\right)^{-2}+16^{\frac {3}{4}}+(\sqrt {3}-1)^{0}$;  
\\((2)\\) $\sin \frac {25\pi}{6}+\cos \frac {25\pi}{3}+\tan \left(- \frac {25\pi}{4}\right)$.

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