
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 \[Q(x) = (3x^3 - 27x^2 + gx + h)(4x^3 - 36x^2 + ix + j),\] where \(g, h, i, j\) are real numbers. Suppose that the set of all complex roots of \(Q(x)\) is \(\{1, 2, 6\}\). Find \(Q(7).\)

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