
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) Calculate: ($$5 \frac {1}{16}$$)<sup>0.5</sup> - 2×($$2 \frac {10}{27}$$)$$^{- \frac {2}{3}}$$ - 2×($$\sqrt {2+\pi}$$)<sup>0</sup> + ($$\frac {3}{4}$$)<sup>-2</sup>;  
(2) Calculate: log<sub>5</sub>35 + 2log<sub>0.5</sub>$$\sqrt {2}$$ - log<sub>5</sub>$$\frac {1}{50}$$ - log<sub>5</sub>14 + 5$$^{log_{5}3}$$.

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