
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
Seven fishermen are standing in a circle. Each fisherman has a professional habit of exaggerating numbers, with a distinct measure of exaggeration (an integer) indicating by how many times the number mentioned by the fisherman exceeds the true value. For example, if a fisherman with an exaggeration measure of 3 catches two fish, he will claim to have caught six fish. When asked: "How many fish did your left neighbor catch?" the answers were (not necessarily in the seated order) $12, 12, 20, 24, 32, 42,$ and $56$. When asked: "How many fish did your right neighbor catch?" six of the fishermen answered $12, 14, 18, 32,$ $48,$ and $70$. What did the seventh fisherman answer?

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