
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
For a positive integer  $n$  we denote by  $d(n)$  the number of positive divisors of  $n$  and by  $s(n)$  the sum of these divisors. For example,  $d(2018)$  is equal to  $4$  since  $2018$  has four divisors  $(1, 2, 1009, 2018)$  and  $s(2018) = 1 + 2 + 1009 + 2018 = 3030$ .
Determine all positive integers  $x$  such that  $s(x) \cdot d(x) = 96$ .

(Richard Henner)

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