Terrible Math Questions

"Terrible Math Questions" is the third episode of the first season of Alphabet Attack, it was released 283 days (9 months, 1 week, and 3 days) after the previous episode came out.

Prior to the Intro
I and J are talking to each other about how it has been 8 months (during production) since the last episode came out, J wonders why Catmint is taking a long time to do the next contest, I tells his value saying that he is a complex number, Catmint replies saying the trade name "COMPLEXNumber" which is a trademark of whoever made Alphabet Attack, N tells Catmint about the Infinite Hotel Paradox, that gave Catmint nightmares thinking that she was lost in the hotel, Mimi calms her down saying it's okay, the letters begin to tell Catmint about the hotel's description. G tells them that an infinite hotel is filled with an infinite number of rooms, S and V reply that the hotel is full, with an infinite number of guests, P tells them that a man is walking into the hotel and asks for a room, but C tells them that she has to tell everyone to move from room number $$n$$ to room number $$n+1$$, Mimi and the others do not like how everyone would switch constantly to a different room, however, T tells them an infinite bus with an infinite passengers come, K tells them everyone goes from room number $$n$$ to room number $$2n$$, filling only the even numbered rooms, O tells them the odd numbered rooms are taken by the people going off the infinite bus, scaring Catmint due to prime numbers, S says the night manager now brings an infinite number of tenges a night, Jacob replies he's rich, R replies that he sees a countably infinite number of passengers on an infinite number of buses, Catmint freaks out saying "what can he do?", H replies saying "if he cannot find rooms for them, the hotel will lose out on an infinite amount of money, and he will surely lose his job.", Catmint freaks out and cries after this, B tells them that Euclid proved an infinite quantity of prime numbers, K tells them that he assigns the guests in the rooms to 2their current room number, meaning that the person in room 7 goes to room 27, which is room 128, U replies that the passengers on the first bue are assigned to powers of the next prime 3their seat number on the bus, J tells them the person in seat number 7 goes to room number 37 which is room number 2187, and so on, G tells them that there are no overlapping room numbers, W replies many rooms would go unfilled, like room 6, however, his strategies are only possible because the hotel deals with the lowest level of infinity, and that dealing with higher orders of infinity would no longer make this possible, as there is no way to systematically include every number, said C and T, Catmint replies "what self-respecting night manager would ever want to work there?", Catmint tells them that "we need a new intro", and as a result, the Alphabet Attack intro plays.

Before Cake at Stake
I tells himself that he's a complex number because he is an imaginary number, E tells herself that she is Euler's number, Q and P tell themselves they like prime numbers, but Catmint hates prime number because she is scared of them, P tells her that her name has 7 letters, causing Catmint to again cry realizing that her parents should not have called her "Catmint", although at the same time, she likes the name too, and being scared of prime numbers is why she likes touching things her feet, due to her having 5 fingers when like her relatives, she has 6 toes on both of her feet, although fingers and toes are never shown in the show itself, T can tell time, hence time begins with "T", it's 17:00, or 5:00 PM, Catmint is scared at how it's 17, although, according to a piece of paper Catmint showed to her friends at her church, they got 3 votes so far.

Cake at Stake
everyone (I, J, K, L, M, O, P, and Y) got cake, except for H, N, and U, who got 1 vote each, they are in a tiebreaker as the three sit on a cyrovolcano, but H's cyrovolcano erupts, ejecting him out into space, he sees Earth for a little while until Earth's gravity drags him back towards it, burning him as soon as he enters Earth's atmosphere, he lands on the Tiny Loser Chamber where X is at, H tells X his story, X tells him not to do it again, as it is dangerous.

The Contest
Catmint tells them, "what's 8 + 8", and shes asks everyone to write the answer on their notebooks, but she gets interrupted by Alpha, Beta, Gamma, Theta, and Phi, who are Greek letters who tell them that they are letters used in trigonometry, Catmint doesn't know what that is, but they tell them "it's a branch of math used in measuring angles", Delta and Epsilon later come and tell Catmint hi, Lambda comes and tells her that she has an eigenvalue, Sigma replies she stands for a sum, Mu tells her that he stands for a mean, and Pi comes and tells her that her value is 3.14159265368..., Catmint is angry because they are not official contestants, saying "okay GET OUT YOU GREEK LETTERS!!!", Alpha, Beta, Gamma, Delta, Epsilon, Theta, Lambda, Mu, Pi, Sigma, and Phi leave, Catmint tells everyone to write the answer on their notebooks, F, B, and A tell her that the answer is 16, however, after the results, she tells her the answer is 16, and I, K, M, C, E, R, and Z got it wrong, the Quiet Quieters are up for UFE, and the voting screen shows up.

Stinger
W tells Q "I can't believe we got up for UFE again", Q promises her she will not be eliminated, T tells W that their names are the first two letters of the word "two", T tells W they can be buddies, U looks at the night sky and tells Catmint that she wants to go to space, Catmint replies she can take her to space later.

Votes
3 votes were cast

Cultural References

 * The talk about the Infinite Hotel Paradox is similar to a video released by TED-Ed about the paradox.
 * the scene where H gets launched off of planet Earth was shot in Universe Sandbox.
 * The fact that this show uses letters between brackets would be similar to what Battle for Dream Island does for it's BFB and TPOT seasons.

Trivia

 * This is the second episode to have audio
 * this is the second episode where a consonant and a male contestant is eliminated
 * this is the first episode in which a coloured contestant is eliminated.
 * It is the longest episode of the Alphabet Attack show being 14 minutes and 57 seconds long, lengthening out "Climbing Up the Top" by roughly 2 minutes.
 * This is the first episode to have captions available, which are under development.
 * This is also the first episode to have British English captions.