
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) Given that $\log_2{2} = a$, express $\log_8{20} - 2\log_2{20}$ in terms of $a$.
(2) Evaluate the expression: $(\ln{4})^0 + (\frac{9}{4})^{-0.5} + \sqrt{(1 - \sqrt{3})^2} - 2^{\log_4{3}}$.

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