
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 value of the following expressions: $0.5^{-1}+4^{0.5}=$ \_\_\_\_\_\_; $\lg 2+\lg 5-(\frac{\pi}{23})^{0}=$ \_\_\_\_\_\_; $((2-\sqrt{3})^{-1}+(2+\sqrt{3})^{-1}=$ \_\_\_\_\_\_.

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