
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 schedule 4 mathematics courses — Algebra, Geometry, Number Theory, and Calculus — in a 7-period day such that no two courses are taken in consecutive periods. How many valid ways can he schedule these courses?
A) 336
B) 420
C) 504
D) 630
E) 840

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