In order to find this cache, you will need to solve a field puzzle. The supplementary information below should help you with your calculations, but you will need to hold the item in question in your hand in order to get the starting information you need.
Proceed to the posted coordinates. The information below WILL be needed. Unless of course, you already know this stuff;-)
North: Forward Maximum Reduction
Input - Red
Output - Blue
Held - Grey
Add your answer to 43 03.443
West: Forward-Fast Overdrive
Held - Grey
Output - Red
Input - Blue
Add your answer to 079 23.056
*** Planetary Gear Set.
--- a simple planetary contains 3 main components, the sun gear is in the centre.
--- planet pinions housed in the carrier, carrier and pinions rotate around the sun gear.
--- ring gear surrounds the other components.
--- Any of these components can be an input, an output or can be held. NOTE: one component must be held to provide an output through the planetary.
---when combined with hydraulic clutch packs, gear ratios can be changed without moving gears in and out of mesh.
---8 Possible gear ratios are available from a simple planetary set. 4 forward speeds, 2 underdrive and 2 overdrive 2 reverse speeds, 1 overdrive and 1 underdrive. Direct drive- 2 components are locked together. Neutral ,if 1 component is not held.
--- the formula for calculating planetary gear ratios is the same as other gear ratios- driven over drive, there are some differences however.
--- As mentioned, a planetary has three different components, the sun gear the carrier and the ring gear. Establishing the gear tooth count for the sun and ring gear is relatively simple. Count the number of teeth. For the carrier things are a little different. The planet pinion teeth are never used for ratio calculations.
--- We still need a number to use for the carrier as it can be an input or an output member also. We establish what is called an effective tooth count for the carrier by adding the sun gear and ring gear tooth count together. This gives us a number we can use for calculating gear ratios through a simple planetary.
NOTE: The normal way of expressing a gear ratio follows the format (as an example) 3.83:1. For the purposes of the puzzle, you can omit the :1 and round to three decimal places.

Congrats to DDTRK on FTF!
