
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
Express, as concisely as possible, the value of the product
$$
\left(0^{3}-350\right)\left(1^{3}-349\right)\left(2^{3}-348\right)\left(3^{3}-347\right)\cdots\left(349^{3}-1\right)\left(350^{3}-0\right).
$$

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