
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. $\sqrt{(1)(2 \frac{1}{4})} + (\frac{1}{10})^{-2} - \pi^{0} + (-\frac{27}{8})^{\frac{1}{3}}$
2. $\frac{1}{2}\log_{10} 25 + \log_{10} 2 - \log_{2} 9 \times \log_{3} 2$

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