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  • ~[[User:N828335|N828335]] Finally, looking back at the original expression, we plug in <math>k</math> to get a multiple of <math>10</math>
    12 KB (1,859 words) - 17:16, 28 March 2022
  • So now we can simplify our original expression: ~[[User: Yiyj1|Yiyj1]]
    8 KB (1,401 words) - 20:41, 20 January 2024
  • ...econd differences are constant and all equal to <math>4</math>. Thus, the original sequence can be generated from a quadratic function. ...n = 5050</math> squares. <math>4 \cdot 5050 = 20200</math>. Adding in the original center box we have <math> 20200 + 1 = \boxed{\textbf{(C) }20201}</math>.
    8 KB (1,226 words) - 22:15, 25 July 2024
  • * <b>Make sure the problems are original.</b> The AoPS community does not want to waste time seeing a collection of Note that "author" is the user(s) who started the mock competition, not their helpers.
    26 KB (3,260 words) - 18:28, 15 August 2024
  • ...wnload it [https://artofproblemsolving.com/community/c68h149650 here]. The original idea for writing CSE5 was to enable writing terse codes for complicated pic ...h function; a function with a full name and a function with an abbreviated name.
    4 KB (605 words) - 18:39, 22 September 2024
  • We note that<cmath>x^n=F_nx+F_{n-1}.</cmath>Let the roots of our original quadratic be <math>\sigma=\frac{1+\sqrt 5}{2}</math> and <math>\tau=\frac{1 Yay! We did it! [[User:Afly|Afly]] ([[User talk:Afly|talk]]) (very good at calculus)
    6 KB (953 words) - 20:37, 30 May 2024
  • -[[User:Sweetmango77|SweetMango77]] I restored the original video solution that was deleted by Whitelisted and replaced with a Rick Rol
    3 KB (545 words) - 12:37, 3 September 2023
  • [https://i.imgur.com/hjGyVyg.png Image of problem Solution]. Credits to user '''awe-sum'''. deciding to delete this particular image. Credits for the image are due to user
    7 KB (1,184 words) - 18:06, 10 November 2024
  • ...p. Pascal also draws programming components from ALGOL 68 and ALGOL-W. The original published definition for the Pascal language appeared in 1971 with latter r User defined Data Types - Has the ability to define scalar types as well as subr
    2 KB (296 words) - 14:37, 1 December 2015
  • .... The function itself takes two parameters. The first is a string with the name of the file. ...o min() except it returns the largest element. If we were working with the original value of ls (which is [1,2,3,4,5]) then this would return 5.
    28 KB (4,762 words) - 20:20, 12 June 2023
  • ~[[User:emerald_block|emerald_block]] ...aren't given anything that has odd numbers ( without substitution into the original equation), we need to find two numbers that add up to 12, which result from
    5 KB (781 words) - 05:38, 23 October 2023
  • ...the three-digit number are reversed, and the result is subtracted from the original three-digit number. What is the units digit of the result? ...101c+10b+2</math>. Subtracting this expression from the expression for the original number, we get <math>(101c+10b+200) - (101c+10b+2) = 198</math>. Thus, the
    2 KB (338 words) - 08:06, 10 March 2023
  • Rephrased by some AoPS user, CSS is a language that a webpage can be styled with. In Art of Problem Solving, CSS of AoPS user's blogs can be modified by the respective owner.
    5 KB (846 words) - 21:23, 13 July 2022
  • //Original diagram by suli, August 2014. Feel free to make edits, but please leave thi --[[User:Suli|Suli]] 13:51, 25 August 2014 (EDT)
    11 KB (1,991 words) - 00:31, 19 November 2023
  • Plugging <math>m=3</math> into one of our original equations, we obtain <cmath>8=6(3)+b</cmath> <cmath>\implies b=8-6(3)=-10</ [[User:Afly|Afly]] ([[User talk:Afly|talk]])
    8 KB (1,234 words) - 20:58, 3 August 2024
  • ...text so that the answer would make sense. [[User:Adihaya|— @adihaya]] ([[User talk:Adihaya|talk]]) 15:23, 19 February 2016 (EST)
    3 KB (399 words) - 20:24, 13 February 2021
  • ...mple, to search for all posts by [http://artofproblemsolving.com/community/user/rrusczyk rrusczyk] made within the last year, the "search term" and "Posted | Posted By User
    21 KB (3,334 words) - 22:53, 23 March 2022
  • since the larger the original angle, the smaller the complement. ...sures is <math>5x + 4x = 9x = 9(15) = \boxed{\textbf{(C)}\ 135}</math>. ~[[User:emerald_block|emerald_block]]
    2 KB (254 words) - 19:49, 6 November 2021
  • ~[[User: Yiyj1|Yiyj1]] ...-a} = 10</math>, <cmath>\therefore c=10(1-a)=10*90=900</cmath> Solving the original problem, <math>f(1)=1 + 1 + b + 100 + c = 102+b+c=102+900-8009=\boxed{\text
    10 KB (1,726 words) - 19:55, 11 October 2024
  • (original diagram by [[User:integralarefun|integralarefun]])
    6 KB (968 words) - 11:05, 7 June 2024

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