
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
Points $C$ and $D$ are on the parabola $y=3x^2 + 4x + 2$, and the origin is the midpoint of $\overline{CD}$. Further, the slope of the tangent at point $C$ is $10$. Find the square of the length of $\overline{CD}$.

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