
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
On June 1, a group of students is standing in rows with 20 students in each row. From June 2 to June 15, the students rearrange themselves in a different number of rows each day. On June 16, they attempt to find a new configuration but fail to do so. Furthermore, they noticed that they could not form rows of 10, 25, or 50 students specifically during these days. What is the smallest possible number of students in the group?
A) 90
B) 100
C) 110
D) 120
E) 150

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