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• 2006 USAMO Problems/Problem 1
  == Problem == if and only if <math>s </math> is not a divisor of <math>p-1 </math>.
  3 KB (506 words) - 17:54, 22 June 2023

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• Joining an ARML team
  *Past [[AMC]], [[AIME]], and [[USAMO]] scores ...aches select the team members during the state tournament based on [[AMC | USAMO index]], performance in local tournaments, and score at the state tournamen
  22 KB (3,532 words) - 11:25, 27 September 2024
• Induction
  ...works for <math>n=1+1=2</math>, which in turn means it works for <math>n=2+1=3</math>, and so on. Other, odder inductions are possible. If a problem asks you to prove something for all integers greater than 3, you can use <m
  5 KB (768 words) - 00:59, 29 September 2024
• Mock AMC
  ...A number of '''Mock AMC''' competitions have been hosted on the [[Art of Problem Solving]] message boards. They are generally made by one community member ...amous theorems and formulas and see if there's any way you can make a good problem out of them.
  51 KB (6,175 words) - 21:41, 27 November 2024
• 2006 USAMO
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2006 USAMO Problems]]
  467 bytes (51 words) - 09:25, 6 August 2014
• 2006 USAMO Problems
  == Day 1 == === Problem 1 ===
  3 KB (520 words) - 09:24, 14 May 2021
• 2006 USAMO Problems/Problem 1
  == Problem == if and only if <math>s </math> is not a divisor of <math>p-1 </math>.
  3 KB (506 words) - 17:54, 22 June 2023
• 2006 USAMO Problems/Problem 2
  == Problem == ...the minimum value of <math>N </math> for which there is a set of <math>2k+1 </math> distinct positive integers that has sum greater than <math>N </math
  2 KB (398 words) - 09:48, 5 August 2014
• 2006 USAMO Problems/Problem 3
  == Problem == ...test prime divisor of <math>m</math>. By convention, we set <math>p(\pm 1)=1</math> and <math>p(0)=\infty</math>. Find all polynomials <math>f</math> wi
  9 KB (1,699 words) - 13:48, 11 April 2020
• 2006 USAMO Problems/Problem 5
  == Problem == ...n</math>, then it can jump either to <math>n+1</math> or to <math>n+2^{m_n+1}</math> where <math>2^{m_n}</math> is the largest power of 2 that is a fact
  7 KB (1,280 words) - 17:23, 26 March 2016
• 2006 USAMO Problems/Problem 4
  == Problem == === Solution 1 ===
  3 KB (486 words) - 22:43, 5 August 2014
• 2006 USAMO Problems/Problem 6
  == Problem == === Solution 1 ===
  5 KB (986 words) - 22:46, 18 May 2015
• 2005 USAMO
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2005 USAMO Problems]]
  548 bytes (59 words) - 18:13, 17 September 2012
• Mock MathCounts
  ...istered to the AoPS community, while others may be sourced from a group of problem writers. Different users may have a different way of participating; some ma ...for example, you will almost surely never see <math>\text{mod}</math> on a problem statement.
  26 KB (3,260 words) - 19:28, 15 August 2024
• 2005 USAMO Problems
  = Day 1 = == Problem 1 ==
  4 KB (609 words) - 09:24, 14 May 2021
• 2007 USAMO
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. *[[2007 USAMO Problems]]
  471 bytes (52 words) - 20:59, 6 August 2014
• 2007 USAMO Problems
  ==Day 1== ===Problem 1===
  3 KB (539 words) - 13:42, 4 July 2013
• 2007 USAMO Problems/Problem 4
  == Problem == ...of <math>n</math> equal-sized [[Square (geometry)|square]] cells.<math>{}^1</math> The figure below shows an 8-cell animal.
  10 KB (1,871 words) - 18:44, 24 February 2025
• 2006 IMO Problems/Problem 5
  == Problem == Let <math>P(x)</math> be a polynomial of degree <math>n>1</math> with integer coefficients, and let <math>k</math> be a positive inte
  3 KB (704 words) - 14:42, 7 September 2021
• Daniel Zhou's Profile
  ...artofproblemsolving.com/community/u530868h596930p27818958 2014 IMO Problem 1] ...ttps://artofproblemsolving.com/community/u530868h1181533p28126160 2013 IMO Problem 4]
  7 KB (808 words) - 00:26, 4 February 2025
• Know the Facts: Gmaas
  ...f Prussia becomes a major hotspot for Gmaasology. Otto von Bismarck spends 1,000,000,000,000 German narcs to build Das Groß Kaisers Preußische Institu ...he is less powerful than his father. Apparently, Leibniz had Gmaas_number 1 while Schrodinger had Gmaas_number 2, where a lower Gmaas number indicates
  89 KB (15,007 words) - 15:02, 19 February 2025

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