
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
In triangle \( \triangle ABC \), if \( \sin^2 A + \sin^2 C = 2018 \sin^2 B \), then find the value of \( \frac{(\tan A + \tan C) \tan^2 B}{\tan A + \tan B + \tan C} \).

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