
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
Three of the roots of
\[bx^4 + (b + 3c) x^3 + (c - 4b) x^2 + (19 - b) x - 2 = 0\]
are \(-3\), \(4\), and \(2\). Find the fourth root.

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