
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
The line $y=kx+1$ ($k \in \mathbb{R}$) always has a common point with the curve $\frac{x^2}{5} + \frac{y^2}{m} = 1$. Find the range of values for the non-negative real number $m$.

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