
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
Find the values of $A$ and $B$ such that the polynomial $x^{104} + Ax^3 + Bx$ is divisible by $x^2 + x + 1$ for real numbers $A$ and $B,$ and compute $A + B.$

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