
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
Find the value of:<br/>$(1)\log_{2}\sqrt{2}+\left(\left(\frac{27}{8}\right)^{\frac{1}{3}}\right)-3^{\log_{3}5}$;<br/>$(2)\sin\frac{13\pi}{3}+\tan\left(-\frac{5\pi}{4}\right)$.

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