Cache is NOT at posted coordinates
Many years ago, Leesburg, the world’s largest geocaching town, was dealing with an onslaught of muggled caches and a protective wall was built up around the town to keep muggles at bay. However, for two months now, muggle invaders have bombarded this wall, hoping to muggle all the caches within, and Leesburg’s defense systems are only days away from failing. A massive expeditionary force from Geocaching Headquarters have been dispatched to provide reinforcements, and they are due to arrive at Leesburg tonight. But there’s been a problem, which is why you’ve been summoned to this briefing.
At 2200 hours last night, muggle forces captured Leesburg’s secure telecommunications satellite. Without the encrypted telesat, Leesburg has no secure communications and cannot transmit the password to the expeditionary force that would allow them to enter into Leesburg through the wall. Thankfully, the managers of each of the “Seven Wonders of Leesburg”, which include the Art Gallery, the Stadium, the Mall, the Observation Deck, the Gardens, the Zoo, and the Library, have created a puzzle that will each lead you to a five-letter word. When all seven of these five-letter words are obtained, they can be used to find the password, which will allow the expeditionary force to pass through Leesburg’s wall and save Leesburg from certain doom!
You are gathered here because you are the best and brightest puzzle masters within the geocaching community. You must solve these puzzles and recover the password before the muggles do! Thousands of lives hang in the balance! Good luck!
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The Stadium
Alan, Brad, Curt, Dave, Eddy, Fred, and Gene played a game of SkyBall, a futuristic basketball variant for seven players. SkyBall has only two types of baskets: lay-ups, which are worth 2 points, and jumpers, which are worth 3 points. After the game, the players wanted to know their score totals, and their coach addressed them as follows:
“Gene, you were the only player to score at least one basket of each type, so you can take off. The rest of you get in a circle in alphabetical order, clockwise. Now, one at a time, step out of the circle and form a line. Start with Alan, then skip the next person, then Curt, then skip the next person, etc. around the circle until all 6 of you are in line. Now, the second-to-last guy in line scored twice as many baskets as the last guy in line, and each of the 4 players in front of him scored exactly as many baskets as the two players behind them did together. Also, Dave and Gene scored 8 points between them, three players finished with scores that were perfect squares, and no combination of other players scored exactly as many points as Alan did.”

(Alan2 + Brad2 + ((Curt / (Dave-1)) * Eddy)) * Fred * Gene =
You can validate your puzzle solution with
certitude.