
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 \( g \) be a function defined by \( g(x) = bx^3 - \sqrt{3} \) for some positive \( b \). If \( g(g(\sqrt{3})) = -\sqrt{3} \), then determine the value of \( b \).
A) \( \frac{1}{4} \) 
B) \( \frac{1}{3} \) 
C) \( \sqrt{3} \) 
D) \( 3 \)

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