Art of Problem Solving

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  • ...aughter. Tony is the youngest child. Twins Joshua and Alexis are <math>12</math> years old. When the Kubiks went on vacation to San Diego last year, they spent a day at the San Diego Zoo. ...
    71 KB (11,749 words) - 11:39, 20 November 2024
  • This page is intended to serve as a brief, beginners reference to the [[Python]] programming language. In Python, there is no need to specify a type when storing information in a variable. It is basic and straightforward to store information. ...
    28 KB (4,765 words) - 14:45, 18 May 2025
  • ...th> is a complex number with <math>|z|=4</math>. Here <math>i = \sqrt{-1}</math>. Let <math>z=a+bi</math> such that <math>a^2+b^2=4^2=16</math>. The expression becomes: ...
    17 KB (2,684 words) - 11:05, 26 July 2025
  • This page introduces various useful commands for rendering math in LaTeX, as well as instructions for building your own commands. |<math>2^{2}</math>||2^2||<math>\textstyle a_i</math>||a_i ...
    12 KB (1,798 words) - 20:55, 22 September 2024
  • The best way to prepare for math contests is to '''do lots of practice problems''' and learn the material ne If you don't feel like going too deep and want a straightforward answer, here it is: ...
    14 KB (2,074 words) - 07:47, 11 November 2025
  • ...and <math>n</math> are relatively prime positive integers. Find <math>m+n</math>. pair O, A, B, P, O1, O2, Q, X, Y; ...
    13 KB (2,252 words) - 12:39, 5 January 2025
  • ...x)) = f(f(f(x)))</math> for all <math>x</math> in <math>\{1, 2, 3, 4, 5\}</math>. ...ecific order, we get <math>5 \cdot 5 = 25</math> different <math>(x,f(x))</math> 's. ...
    11 KB (1,818 words) - 15:26, 22 July 2025
  • Here you will find a list of things you can do to give respect and get respect. While most of th ...say something along the lines of: “It looks like you calculated <math>1+1</math> wrong. Try doing it again. :)" ...
    2 KB (413 words) - 13:41, 9 October 2022