
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
Modify the point to 
\[
(x, y) = \left( \frac{3 - t^3}{3 + t^3}, \frac{3t}{3 + t^3} \right)
\]
Determine the type of curve on which all the plotted points lie.

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