
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 $\sqrt { \frac {25}{9}}- \left( \frac {8}{27} \right)^{ \frac {1}{3}}-(π+e)^{0}+ \left( \frac {1}{4} \right)^{- \frac {1}{2}}$

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

(3) Given that $a$, $b$, and $c$ are positive real numbers, $a^{x}=b^{y}=c^{z}$, and $\frac {1}{x}+ \frac {1}{y}+ \frac {1}{z}=0$, find the value of $abc$.

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