
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
Given:
$1+2+3+...+n= \frac{n(n+1)}{2}$;
$1×2+2×3+...+n(n+1)= \frac{n(n+1)(n+2)}{3}$;
$1×2×3+2×3×4+...+n(n+1)(n+2)= \frac{n(n+1)(n+2)(n+3)}{4}$,
Use the above results to compute: $1^{3}+2^{3}+3^{3}+...+n^{3}=$ \_\_\_\_\_\_.

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