
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
Let  $Q(x)=a_0+a_1x+\dots+a_nx^n$  be a polynomial with integer coefficients, and  $0\le a_i<3$  for all  $0\le i\le n$ .

Given that  $Q(\sqrt{3})=20+17\sqrt{3}$ , compute  $Q(2)$ .

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