
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
Alice thinks of two real numbers and writes down their product and their sum. Alice writes down the numbers 12 and 7.

What are the two numbers Alice is thinking of?

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