
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
Find the point of intersection between the parabola given by the equation $y = 3x^2 + 6x + 4$ and the line given by the equation $y = -x + 2$.
A) $(-\frac{1}{3}, \frac{7}{3})$
B) $(\frac{1}{3}, \frac{7}{3})$
C) $(-2, 4)$
D) $(2, 4)$

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