
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
Consider the polynomial \( p(z) = z^6 - 11z^5 + Ez^4 + Bz^3 + Fz^2 + Gz + 36 \). All the roots of this polynomial are positive integers. What is the value of \( B \)?
A) -60
B) -55
C) -50
D) -45
E) -40

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