
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. $\log_{2}32 - \log_{2} \frac{3}{4} + \log_{2}6$
2. $8^{\frac{2}{3}} \times \left(-\frac{7}{6}\right)^{0} + \left( 32 \times \sqrt{3}\right)^{6}$

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