
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 \[Q(x) = (3x^4 - 33x^3 + gx^2 + hx + i)(4x^4 - 72x^3 + jx^2 + kx + l),\] where $g, h, i, j, k, l$ are real numbers. Suppose that the set of all complex roots of $Q(x)$ is $\{1, 2, 3, 4, 6\}.$ Find $Q(7).$

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