
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 the polynomial
\[ cx^4 + (c + 3d) x^3 + (d - 4c) x^2 + (10 - c) x + (5 - 2d) = 0 \]
are $-1$, $2$, and $-3$. Find the fourth root.

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