
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) Simplify: $$\frac {(2a^{ \frac {2}{3}}b^{ \frac {1}{2}})(-6 \sqrt {a} 3b )}{3a^{ \frac {1}{6}}b^{ \frac {5}{6}}}$$;  
(2) Evaluate: $\log_{5}35+2\log_{0.5} \sqrt {2}-\log_{5} \frac {1}{50}-\log_{5}14+10^{\lg3}$.

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