
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
Two forces are applied to a material point, with an angle of $30^{\circ}$ between them. The magnitude of one of the applied forces is $7 \sqrt{3}$ times greater than the magnitude of the other, and the magnitude of the resultant force is $24 \text{N}$ more than the magnitude of the smaller force. Determine the magnitude of the smaller force and the resultant force.

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