
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:

1. $\sqrt{\frac{25}{9}}-\left( \frac{8}{27} \right)^{\frac{1}{3}}-(\pi +e)^{0}+\left( \frac{1}{4} \right)^{-\frac{1}{2}}$

2. $\frac{\lg 8+\lg 125-\lg 2-\lg 5}{\lg \sqrt{10}\lg 0.1}$

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