
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
For polynomial $P(x)=1-\dfrac{2}{5}x+\dfrac{1}{5}x^{3}$, define
\[Q(x)=P(x)P(x^{2})P(x^{4})P(x^{6})P(x^{8})=\sum_{i=0}^{35} b_ix^{i}.\]Find $\sum_{i=0}^{35} |b_i|.$

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