
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
Carefully observe the following three sets of numbers: the first set: $1$, $4$, $9$, $16$, $25$, $\ldots$; the second set: $1$, $8$, $27$, $64$, $125$, $\ldots$; the third set: $-2$, $-8$, $-18$, $-32$, $-50$, $\ldots$; taking the $n$th number of each set, the sum of these three numbers is ____.

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