
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]


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From the set $\{1, 2, 3, \ldots, 10\}$, four distinct elements are selected, and one of the elements is three times the sum of the other three elements. Determine the number of ways to select the elements in this manner.

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