
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 sandwich shop offers five types of bread, seven types of meat, and six types of cheese. A sandwich consists of one type of bread, one type of meat, and one type of cheese. Beef, turkey, mozzarella cheese, and rye bread are each offered at the shop. If Sam never orders a sandwich with a beef/mozzarella combination nor a sandwich with rye bread/turkey combination, and also avoids sandwiches with turkey and mozzarella together, how many different sandwiches can Sam order?

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