
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
For $k \in \mathbb{R}$, find the range of values for the real number $m$ such that the line $y - kx - 1 = 0$ always intersects with the ellipse $\frac{x^2}{4} + \frac{y^2}{m} = 1$.

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