
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
Determine the trinomial whose cube is:

$$
x^{6}-6 x^{5}+15 x^{4}-20 x^{3}+15 x^{2}-6 x+1
$$

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