
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) $\sqrt{6\frac{1}{4}} - (\pi - 1)^0 - \left(3\frac{3}{8}\right)^{\frac{1}{3}} + \left(\frac{1}{64}\right)^{-\frac{2}{3}}$

(2) $\sin\left(\frac{11\pi}{6}\right) + \cos\left(-\frac{20\pi}{3}\right) + \tan\left(\frac{29\pi}{4}\right)$

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