
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
Each of the factors of 100 is to be placed in a 3 by 3 grid, one per cell, in such a way that the products of the three numbers in each row, column, and diagonal are all equal. The positions of the numbers 1, 2, 50, and \( x \) are shown in the diagram. What is the value of \( x \)?

A) 4  
B) 5  
C) 10  
D) 20  
E) 25

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