
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
Let \( n \) be a \( 7 \)-digit number, and let \( q \) and \( r \) be the quotient and the remainder, respectively, when \( n \) is divided by \( 50 \). For how many values of \( n \) is \( q + r \) divisible by \( 7 \)?
A) 70,000
B) 720,000
C) 729,000
D) 900,000

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