
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
The ratio of the number of students from grades 1 to 6 in Wuyang Primary School is 30:29:28:27:26:25. After the current sixth graders graduate, 372 new first graders are admitted, and the remaining students are promoted to the next grade. This results in the ratio of the number of students in the lower grades (grades 1, 2, 3) to the higher grades (grades 4, 5, 6) being 10:9 at the start of the new term. What is the total number of students in Wuyang Primary School at that time?

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