
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 loaf of sausage has thin transverse rings drawn on it. If you cut along the red rings, you get 5 pieces, if along the yellow rings, you get 7 pieces, and if along the green rings, you get 11 pieces. How many pieces of sausage will you get if you cut along the rings of all three colors?

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