
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 student needs to choose a program of five courses from a list consisting of English, Algebra, Geometry, Calculus, History, Art, Science, and Latin. This program must include English, at least one mathematics course (from Algebra, Geometry, or Calculus), and at least one humanities course (from History, Art, or Latin). How many ways can the student choose such a program?

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