
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
Joshua is preparing orange and cranberry muffins for a school event. Ever time he tries to share the muffins equally among 13 students, he ends up with 3 left over. However, if he divides the muffins among 8 students, he has 5 left over. Given that Joshua baked fewer than 120 muffins, what is the sum of all possible muffin numbers he could have baked?

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