E2 - Indeterminate Equation

Source: Crunchyroll
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(Please feel free to edit the speaker names if incomplete or inaccurate. Names are handled on a best-effort basis depending on the info on the source file. Dialogue is left as is.)
[00:05] Nar
    A classroom, after school.
SIGN    Sukiyabashi Rui
SIGN    Birthday: April 21st
SIGN    Sign: Taurus
SIGN    Height: 165cm
SIGN    Weight: 55kg
SIGN    Blood type: A
[00:07] Nar
    Doge Suwaru wants to see some boobs
    during Rui-sensei's extra lessons.
[00:12] Nar
    But before he gets to see them through a
    combination of intellect and determination...
[00:15] Nar
    maybe he should study more!
[00:17] Nar
    Let's dogeza!
[00:20] Doge
    Sensei! Can I ask a question?
[00:22] Rui
    Sure. What is it?
[00:24] Doge
    My grades are so bad,
[00:26] Doge
    I know I'm making extra work for you...
[00:29] Doge
    I feel really guilty about it.
[00:32] Nar
    (If you actually feel guilty, study more!)
[00:35] Rui
    You don't need to worry.
[00:37] Rui
    Just work hard, and finish
    your extra lessons!
SIGN    To treat x as an equivalent in 3x²-ca(x²-2x+1)-b(x-1), the integers for a, b, and c must be
[00:40] Doge
    You're so amazing, sensei.
[00:41] Doge
    Your heart is beautiful, too.
SIGN    To treat x as an equivalent in 3x²-ca(x²-2x+1)-b(x-1), the integers for a, b, and c must be
[00:43] Nar
    (What does that "too" refer to?)
[00:45] Rui
    Come on. I don't give points
    for flattery, you know!
[00:48] Doge
    Sensei!
[00:49] Rui
    What?
[00:50] Rui
    Why are in a dogeza?!
[00:52] Doge
    Please, show me your boobs!
[00:53] Nar
    (Here we go!)
[00:55] Rui
    What in the world are you saying?
[00:57] Rui
    Do you realize what you're asking?
[00:59] Nar
    (I seriously doubt he does.)
[01:01] Rui
    It's being fixated on that kind of
    thing that makes you grades drop!
[01:04] Nar
    (I'm so sorry for the trouble
    he's causing you...)
[01:06] Doge
    Then, if I get better grades,
[01:09] Doge
    will you show me your boobs?
[01:12] Rui
    If you can get better grades, then sure.
[01:14] Doge
    Sensei!
[01:15] Doge
    a=3, b=-6, and c=3.
[01:20] Nar
    (Hey, he actually did it.)
[01:21] Rui
    Then try answering this one!
SIGN    Fill in the bank. The smallest
    numeric value for n in √2016n is
[01:24] Rui
    I'll consider it if you can get it right.
[01:26] Doge
    It's 14.
[01:29] Nar
    (He really can do it!)
[01:30] Rui
    You normally never give
    right answers! Why now?!
[01:34] Rui
    How about this one?
[01:35] Doge
    It's h-4, with a greatest value of 64/3.
[01:39] Rui
    No way!
[01:40] Rui
    Wh-What about this?!
SIGN    Express the position in the Fibonacci sequence for n
[01:43] Doge
    Here you are.
SIGN    It can be expressed as
[01:43] Nar
    (Is he a genius?!)
[01:44] Rui
    I-Impossible!
[01:46] Rui
    Have you been getting bad grades
    on purpose up until now?!
[01:48] Nar
    (That'd be a lot of effort
    for something so silly...)
[01:51] Doge
    If it's to see your breasts, sensei,
[01:54] Doge
    I assure you my grades can get even better.
[02:15] Rui
    Honestly... Don't tell anyone
    else about this, okay?
[03:20] Rui
    Hey, what do you think about 
    this university program?
SIGN    End Card by Saisou
[03:23] Rui
    I'll be rooting for you! 
    And after school we can...
[03:25] Rui
    Wait, why are you running?!
[03:27] ---
    Hey! Wait a second!