User:Grogg007

About Me:

- Hi I’m Nathan 👋

- I like math and music. My two main goals for 2026 are to make the TMEA All state orchestra/ area and score decently well on the AMC and AIME, and I hope to make USAMO by my senior year. I enjoy solving comp problems and posting creative solutions here 🎵🧮

- Currently a sophomore, class of 2028 🎓

Check out some of my solutions and other stuff below ⬇️

Visitor Count:

If you're an AoPS Wiki user who is visiting my page for the first time, you can increase the number below by 1 :)

5

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

Contributions:

• Written solutions

  2003 AIME II #9 Solution 6 (Solution without dividing polynomials directly)

  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)

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

  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 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 (Counting Factors)

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

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

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

  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)

  2024 AIME I #6 Solution 7 (Simple Combinatorics)

  2024 AIME I #7 Solution 2c (Vector Algebra)

  2025 AIME I #5 Solution 3 (Permutations & Combinations)

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

  2025 AIME I #8 Solution 4 (Distance from point to line)

• Video solutions

  2016 AIME I Problems/Problem 13 (Probability States)

  2016 AIME II Problems/Problem 12 (Casework)

  2020 AIME I Problems/Problem 14 (Vieta's Formulas & Casework)

  2021 AIME I Problems/Problem 10 (Euclidean Algorithm)

  2022 AMC 10B Problems/Problem 25 (Modular Inverses, no binary)

  2024 AMC 10A Problems/Problem 18 (Modular Arithmetic)

  2024 AMC 10A Problems/Problem 19 (Getting largest factor)

  2024 AMC 10A Problems/Problem 20 (Pairing and experimenting)

  2024 AMC 10A Problems/Problem 22 (Calculate b and h separately)

  2024 AMC 10A Problems/Problem 23 (Factoring)

  2025 AIME I Problems/Problem 1 (Run through vid)

  2025 AIME I Problems/Problem 2 (Run through vid)

  2025 AIME I Problems/Problem 3 (Run through vid)

  2025 AIME I Problems/Problem 4 (Run through vid)

  2025 AIME I Problems/Problem 5 (Run through vid)

  2025 AIME I Problems/Problem 6 (Run through vid)

  2025 AIME I Problems/Problem 8 (Distance from point to line)

• Additional contributions

  1989 AIME Problems/Problem 9 (Remark)

  2013 CEMC Gauss (Grade 8) Problems/Problem 17 (Uploaded diagram)

  2021 AIME I Problems/Problem 10 (Remark)

  2023 AMC 10A Problems/Problem 25 (edits to solution 1)

  2023 AMC 10B Problems/Problem 4 (Remark)

  2023 AMC 10B Problems/Problem 13 (Uploaded diagram)

  2023 AMC 10B Problems/Problem 21 (Clarification)

  2025 AIME I Problems/Problem 8 (Derivation of formula for distance between point and line)

  AMC Historical Results (2025 USAJMO/USAMO Stats)

More:

• Youtube (math)

• Youtube (music)

• Instagram

• Discord

• GitHub

• My detailed AoPS Volume 2 notes of first 15ish chapters

• AMC 10 + AIME Prep Quick Formula Sheet

• A website I coded

• Support 624