
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
(1) Find the equation of the tangent line to the curve $f(x) = x^3 - 2x^2 + 3$ at the point $A(1, 2)$.

(2) Find the equation of the tangent line that passes through the point $(\frac{1}{6}, 0)$ and is tangent to the curve $f(x) = 3x^2 + 2$.

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