
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
Let \(g(x) = \frac{4}{16^x + 4}\). Calculate the following sum:
\[
g \left( \frac{1}{500} \right) + g \left( \frac{2}{500} \right) + g \left( \frac{3}{500} \right) + \dots + g \left( \frac{499}{500} \right).
\]

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