
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
A number is a perfect square if it is equal to an integer squared. For example, $25=5^{2}, 49=7^{2}$ and $125=25^{2}$ are perfect squares. What is the smallest number by which we should multiply 120 to obtain a perfect square?
(a) 10
(b) 15
(c) 20
(d) 30
(e) 35

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