User:Grogg007

About Me:

- I’m Nathan

- I like math and music

- Sophomore, class of 2028

If you're an AoPS Wiki user who is visiting my page for the first time, you can increase the number below by 1 feel free to be creative :D

$5=\frac{(x-2)}{5},$ $x =?$

I got this idea from Aoum, who also included a visitor count on his user page. I thought it would be cool to try it out on mine too

AIME
2004 AIME II #8 Solution 3 (Casework)

2004 AIME II #9 Solution 4 (Quadratic)

Mock AIME 3 Pre 2005 #9 Solution 1 (Similar Triangles)

2006 AIME I #6 Solution 3 (Casework)

2011 AIME I #15 Solution 4 (Quadratic)

2015 AIME II #12 Solution 1 (Recursion)

2017 AIME I #9 Solution 3 (Quadratic)

2019 AIME II #2 Solution 5 (Using a two-variable equation)

2020 AIME I #14 Solution 4 (Vieta's Formulas & Casework)

2022 AIME II #8 Solution 5 (Casework)

2023 AIME I #8 Solution 2 (Geometry)

2024 AIME I #6 Solution 7 (Simple Combinatorics)

2024 AIME I #7 Solution 2c (Dot Product)

2025 AIME I #5 Solution 3 (Counting)

2025 AIME I #6 Solution 6 (Brahmagupta's Formula)

2025 AIME I #8 Solution 4 (Distance formula)

2025 AIME I #9 Solution 2 (Polar Coordinates)

2025 AIME I #10 Solution 4 (Combinations)

2025 AIME I #11 Solution 1 (Graphing)

2025 AIME II #5 Solution 2 (Arcs)

AMC
2010 AMC 10B #24 Solution 4 (Guess and Check)

2013 AMC 12B #23 Solution 3 (Bases)

2015 AMC 12A #17 Solution 1.5 (Basic Probability)

2016 AMC 12B #21 Solution 1 (Similar triangles)

2018 AMC 12A #21 Solution 3 (Polynomials and Inequalities)

2019 AMC 12A #21 Solution 2 (Complex Numbers)

2020 AMC 8 #21 Solution 5 (Two starting point cases)

2020 AMC 10A #20 Solution 3 (Power of A Point)

2020 AMC 10A #22 Solution 1 (Floor Function)

2020 AMC 10A #24 Solution 10 (Euclidean Algorithm and Diophantine Equations)

2020 AMC 12B #7 Solution 2 (Polar Coordinates)

2021 AMC 12A #17 Solution 4 (Law of Sines & Similar Triangles)

2021 AMC 12A #19 Solution 4 (Simple Trig)

2021 AMC 10A #25 Solution 4 (Casework on top two rows)

2021 AMC 10B #11 Solution 3 (Rational Function)

2022 AMC 10A #21 Solution 1.5 (Another slightly different solution)

2022 AMC 10B #18 Solution 2 (Casework and Complementary Counting)

2023 AMC 10B #15 Solution 5 (Legendre's Formula)

2023 AMC 10B #21 Solution 12 (Stars & Bars, noticing a pattern)

2024 AMC 10A #20 Solution 3 (Pairing and experimenting)

2024 AMC 10B #13 Solution 3 (Using Answer Choices)