
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) $(2 \frac{4}{5})^0 + 2^{-2} \times (2 \frac{1}{4})^{-\frac{1}{2}} - (\frac{8}{27})^{\frac{1}{3}}$;  
(2) $(\frac{25}{16})^{0.5} + (\frac{27}{8})^{-\frac{1}{3}} - 2\pi^0 + 4^{log_{4}5} - \ln e^5 + \lg 200 - \lg 2$.

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