
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
Determine the number of different arrangements for a group of 7 teachers and students – consisting of 1 teacher, 4 boys, and 2 girls – to stand in a line for a photo under the following conditions:
(1) The two girls must stand next to each other;
(2) The four boys must not stand next to each other;
(3) The teacher must not stand in the middle, and Girl A must not stand on the far left.

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