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• 2019 AIME II Problems/Problem 8
  ==Problem== ...ing <math>2019</math>, and <math>f\left(\tfrac{1+\sqrt{3}i}{2}\right)=2015+2019\sqrt{3}i</math>. Find the remainder when <math>f(1)</math> is divided by <m
  4 KB (706 words) - 22:18, 28 December 2023
• 2019 AIME I Problems/Problem 8
  ==Problem== ...ight)^6+\left(\frac{1}{2}+z\right)^6=2z^6 + \frac{15z^4}{2} + \frac{15z^2}{8} + \frac{1}{32}=\frac{13}{54}.</cmath>
  10 KB (1,878 words) - 13:19, 1 February 2024

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• Mock AMC
  ...ake. Sometimes, the administrator may ask other people to sign up to write problems for the contest. * Look at past [[AMC]]/[[AHSME]] tests to get a feel for what kind of problems you should write and what difficulty level they should be.
  51 KB (6,175 words) - 21:41, 27 November 2024
• Chicken McNugget Theorem
  ...n McNugget Theorem''' (or '''Postage Stamp Problem''' or '''Frobenius Coin Problem''') states that for any two [[relatively prime]] [[positive integer]]s <mat ...t Theorem has also been called the Frobenius Coin Problem or the Frobenius Problem, after German mathematician Ferdinand Frobenius inquired about the largest
  17 KB (2,823 words) - 23:06, 15 November 2024
• Mass points
  ...eorems concerning [[polygon]]s, and is helpful in solving complex geometry problems involving lengths. In essence, it involves using a local [[coordinate syst ...school students made it popular. The technique greatly simplifies certain problems.
  5 KB (812 words) - 15:43, 1 March 2025
• Ball-and-urn
  It is used to solve problems of the form: how many ways can one distribute <math>k</math> indistinguisha ...ach urn, then there would be <math>{n \choose k}</math> possibilities; the problem is that you can repeat urns, so this does not work.<math>n</math> and then
  5 KB (795 words) - 17:39, 31 December 2024
• Gmaas
  ...into anything. Using that fact, you can use the Games theorem to solve any problem. 8. Gmaas dies in Endgame, but he somehow possesses Thanos and kills everyone.
  69 KB (11,805 words) - 20:49, 18 December 2019
• 2018 AIME II
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2018 AIME II Problems|Entire Test]]
  1 KB (133 words) - 18:13, 18 March 2020
• 2019 AIME I
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2019 AIME I Problems|Entire Test]]
  1 KB (133 words) - 17:41, 29 March 2019
• 2019 AIME II
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2019 AIME II Problems|Entire Test]]
  1 KB (133 words) - 15:43, 22 March 2019
• 2020 AIME I
  ...k contains the full set of test problems. The rest contain each individual problem and its solution. * [[2020 AIME I Problems|Entire Test]]
  1 KB (133 words) - 18:11, 18 March 2020
• 2018 AIME II Problems
  {{AIME Problems|year=2018|n=II}} ==Problem 1==
  9 KB (1,385 words) - 00:26, 21 January 2024
• 2019 AMC 10C Problems
  Here are the problems from the 2019 AMC 10C, a mock contest created by the AoPS user fidgetboss_4000. ==Problem 1==
  12 KB (1,917 words) - 12:14, 29 November 2021
• 2019 AIME II Problems/Problem 7
  ==Problem== H = C+1/8*(A-C);
  7 KB (1,053 words) - 14:58, 14 January 2024
• 2019 AIME II Problems/Problem 15
  ==Problem== pen s = linewidth(0.8)+fontsize(8);
  7 KB (1,129 words) - 16:27, 6 January 2025
• 2019 AIME II Problems/Problem 9
  ==Problem== ...pretty. Let <math>S</math> be the sum of positive integers less than <math>2019</math> that are <math>20</math>-pretty. Find <math>\tfrac{S}{20}</math>.
  3 KB (474 words) - 01:38, 22 December 2024
• 2019 AIME II Problems/Problem 10
  ==Problem== ...nds will converge to such a value (since it is unique, as indicated in the problem). Let's keep track of the lower bound.
  8 KB (1,172 words) - 18:21, 8 August 2024
• 2019 AIME II Problems/Problem 11
  ==Problem== Triangle <math>ABC</math> has side lengths <math>AB=7, BC=8, </math> and <math>CA=9.</math> Circle <math>\omega_1</math> passes through
  14 KB (2,229 words) - 14:57, 27 December 2024
• 2019 AIME II Problems/Problem 13
  ==Problem== ...rc <math>\widehat{A_6A_7}</math> of the circle is equal to <math>\tfrac{1}{8}-\tfrac{\sqrt2}{n}.</math> Find <math>n.</math>
  7 KB (1,051 words) - 20:45, 27 January 2024
• 2019 AIME I Problems
  {{AIME Problems|year=2019|n=I}} ==Problem 1==
  8 KB (1,331 words) - 06:57, 4 January 2021
• 2019 AIME I Problems/Problem 1
  ==Problem== ...h> and <math>9</math>. Therefore, the sum of the digits is <math>(321-3)+7+8+9=\boxed{342}</math>.
  3 KB (433 words) - 07:57, 9 February 2023
• 2019 AIME I Problems/Problem 6
  ==Problem== ...ects diagonal <math>\overline{KM}</math> at <math>O</math> with <math>KO = 8</math>. Find <math>MO</math>.
  11 KB (1,782 words) - 23:29, 29 January 2025

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