
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
In rhombus  $ABCD$ , let  $M$  be the midpoint of  $AB$  and  $N$  be the midpoint of  $AD$ . If  $CN = 7$  and  $DM = 24$ , compute  $AB^2$ .

*Proposed by Andy Liu*

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