
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 angle between the hands of a clock at 3:15 is the difference between the angles of the hour hand and the minute hand. The hour hand moves 30 degrees per hour and moves in addition 7.5 degrees per 15 minutes, resulting in a total angle of 3 * 30 + 7.5 = 97.5 degrees. The minute hand moves 360 degrees in 60 minutes, or 6 degrees per minute, and is at 15 * 6 = 90 degrees. The difference between these two angles is 97.5 - 90 = 7.5 degrees.

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