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

$\frac{x}{7}+\lfloor \frac{x}{3} \rfloor = 13, x = ?$

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)