
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. $(1)( \frac {25}{9})^{0.5}+( \frac {27}{64})^{- \frac {2}{3}}+(0.1)^{-2}-3π^{0}$
2. $(2)\lg \frac {1}{2}-\lg \frac {5}{8}+\lg 12.5-\log _{8}9\cdot \log _{27}8$

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