
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
All the roots of the polynomial $z^6 - 15z^5 + Az^4 + Bz^3 + Cz^2 + Dz + 36$ are positive integers, possibly repeated. What is the value of $B$?
**A)** -350
**B)** -310
**C)** -294
**D)** -270
**E)** -240

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