
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) $\sqrt {24}$(- $\sqrt { \frac {2}{3}}$+3 $\sqrt { \frac {5}{6}}$+ $\sqrt {5}$),
(2) (4+ $\sqrt {5}$)(4- $\sqrt {5}$)-(2 $\sqrt {2}$\- $\sqrt {3}$)$^2$

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