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Math Camp! Multi-cache

Hidden : 8/3/2012
Difficulty:
2 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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Geocache Description:



This is a two-stage multi-cache. The posted co-ordinates are NOT the location of the cache.  You will have to go to an object at the posted co-ords, use some information found there, and do some rudimentary math to solve the co-ordinates of the physical cache.  The difficulty level reflects the puzzle, the fact of the two-stage-cache, and the actual hide of the cache, itself.

Assuming you are at the posted co-ordinates, use the largest texted object in front of you and some math, to solve the following:
N   0AB  CD.EFG
W  0HI  JK.LMN
 
AB = Convert 7.2 degrees Centigrade to degrees Fahrenheit (round to closest integer).
CD = What is the fifth simple prime number (in ascending order)?
E = Referring to the object found at the posted co-ordinates, count the number of letters in the common name of the pictured bird. Still referring to the co-ordinates designated object, add the number of letters in the acronym for the current threat to fresh water clarity. Subtract 2 from this result.
F = Referring to the object found at the posted co-ordinates, count the number of red “S’s” and multiply this by 10. Then subtract 92.
G = Referring to the object found at the posted co-ordinates, look at the green diagram. Imagine the continuance of the picture, then take the number of degrees usually associated with this shape. Divide this number by 72.

HI = Take the number associated with an Equilateral triangle and add 30 to it.
J = This will be an easy one—it is the square root of 4.
K = Referring to the object found at the posted co-ordinates, count the number of “E’s” written in red and displayed below the picture of the allowable wake speed map. Double the result. Add 5 to that and take the cube root of the result. Multiply the root by 2. Hey--Are we all having fun, or what?!??
L = Referring to the object found at the posted co-ordinates, count the number of letters in the full name of the organization responsible for the safe regulation of these lakes. Subtract the number of “E’s” in the name. Multiply that number by 3. Invert this number and divide it by 24 and ¾. (Think outside the box.)

ALL RIGHTY!! YOU ARE ALMOST DONE NOW. Remember this is vacation time and the clock is not ticking…

M = Solve the following story problem: On a very hot, humid, mosquito-filled day in July, you and 3 of your friends go hiking on the Ice Age Trail. Upon returning home, you find 5 cold soda cans in the refrigerator. Each soda can contains 12 fl ounces of the same beverage. You decide to enjoy your drinks out on the breezy screened-in-porch, where you and your 3 friends may quench yourselves in peace, without the ever-present threat of mosquitoes. You pour all of the cans into a large, chilled glass-pitcher. You proceed to pour out exactly equal amounts into 4 tall ice-filled glasses. You should assume the usual dimensions for an ice cube and assume the usual amount of ice needed to fill an 8 ounce glass. Don’t be a wimp! Any professional bar-tender knows how to do this. On the way to the porch, you trip over the sleeping dog, and fall—spilling all of the drinks and breaking all of the glasses. Assuming you have not cut yourself or the dog (necessitating a quick trip to the closest emergency room—which is like a distance of 8 miles away) and assuming good asepsis, how many ounces of soda will you pour into 4 fresh ice-filled glasses?
N = What is the sum of any 2 opposite sides of one of the most well-known gaming’ cubes?
The sum of all the puzzle co-ordinates equals 57.
NOTE: This cache should be available in all seasons, and the terrain rating will change with the seasons. The cache owners tried to choose an average value. Local geocachers should take the usual precautions regarding poison ivy, mosquitoes, bears, and so forth.  Out-of-area cachers should do the same and be VERY vigilant of the terrain—especially during the late winter and early spring.  ALWAYS KNOW IF HUNTING SEASON IS OPEN AND BEHAVE APPROPRIATELY.  Use public access and do not trespass on any private property.  The GZ is at times frequented by not conscientious muggles, so CITO would be nice. Also BYOP.

Additional Hints (Decrypt)

Gur pnpur vf n fznyy pnzrb-rq pbagnvare nobhg 3 cnprf njnl sebz gur arneol orghyn cnclevsren juvpu unccraf gb or n irel fcrpvny gerr gb gur Cebivqrapr bs Fnfxngpurjna naq gur Fgngr bs Arj Unzcfuver.

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)