Meri Kirihimete! Mystery Cache
us04: Series has done its time.
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Difficulty:
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Terrain:
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Size: 
(small)
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Welcome to Christmas 2014.
There is no cache at the given coordinates. To find the final you will need all of the codes from the 12 Days of Christmas series.
The cache is located at S 45 5R.TUV E 170 2W.XYZ
To find the letters you will need to solve the following problems.
R: If Santa had F presents and gave an equal number of presents to 42 children, how may presents would he have left over?
T: C children asked for H presents, and D children asked for J presents. Santa had 18 presents in his sack. If he gave each child the number of presents they requested, how many presents would be left over?
U: Uh, oh. Some of the children have been naughty and they will only be getting coal for Christmas. However, Santa is generous so he has decided to give each child K pieces of coal. If there are 9 children on the list and Santa has G pieces of coal, how many pieces of coal would be left over?
V: There are 14 toys in Santa's sack. There are some toy cats and some dolls. In total there are B legs. If there are (C+D) toy cats, how may dolls would there be? Please note that these are new toys, and constructed with the finest techniques by the elves, so they all have the correct number of legs.
W: If one reindeer (flying as fast as it possibly can) takes (D+K) hours to fly from the North Pole to Aotearoa, how long would it take L reindeer to fly from the North Pole to Aotearoa?
X: Mrs Claus is very caring of her husband and so has prepared hot chocolate drinks for his trip. Obviously, she has put marshmallows into each of the drinks, distributing them evenly amongst the drinks. There are A marshmallows. She has pre-heated M drinks, and also given Santa E drinks to heat later. How many marshmallows were put into each drink? Please note that these drinks are only for drinking over the ocean, as there are bound to be more than sufficient drinks left for Santa in everyone's houses.
Y: Huhu grubs?
Z: After Santa completed his mission, the elves check the sacks to see how many presents were left over. 54 sacks were completely empty. In the 6 remaining sacks they found A, B, F, G, H, and J presents. What is the average number of presents in all of the sacks?
Additional Hints
(Decrypt)
Jurer cerfragf ner hfhnyyl sbhaq.