
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
How many distinct sequences of five letters can be made from the letters in MATHEMATICS if each sequence must begin with E, end with S, and no letter can appear in a sequence more than once?

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