
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 \( f \), \( g \), and \( h \) be polynomials such that \( h(x) = f(x) \cdot g(x) \). If the constant term of \( f(x) \) is \( -6 \) and the constant term of \( h(x) \) is \( 12 \), what is \( g(0) \)?

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