
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
A line given by the equation \( y = mx + 3 \) is tangent to the ellipse defined by \( 4x^2 + y^2 = 4 \). Find the value of \( m^2 \).
- **A)** \( \frac{3}{4} \)
- **B)** 4
- **C)** 5
- **D)** \( \frac{5}{4} \)
- **E)** 6

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