
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
Alice and Bob each think of a polynomial. Each of their polynomials is monic, has degree 5, and has the same positive constant term and the same coefficient of $x$. The product of their polynomials is \[x^{10} + 4x^9 + 6x^8 + 4x^7 + 5x^6 + 10x^5 + 5x^4 + 6x^3 + 4x^2 + 4x + 9.\] What is the constant term of Bob's polynomial?

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