
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
A fancy bathroom scale is calibrated in Newtons. This scale is put on a ramp, which is at a  $40^\circ$  angle to the horizontal. A box is then put on the scale and the box-scale system is then pushed up the ramp by a horizontal force  $F$ . The system slides up the ramp at a constant speed. If the bathroom scale reads  $R$  and the coefficient of static friction between the system and the ramp is  $0.40$ , what is  $\frac{F}{R}$ ? Round to the nearest thousandth.

*(Proposed by Ahaan Rungta)*

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