Art of Problem Solving

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  • ...toy spider crawls down at a rate of one inch for every two hours it's left stuck to the wall. One morning, at around <math>9</math> o' clock, Tony sticks th ...ay a game around an ellipse drawn in the sand. There are two softball bats stuck in the sand. Michael recognizes these as the foci of the ellipse. The bats ...
    71 KB (11,749 words) - 11:39, 20 November 2024
  • == Solution 3 (Cheese, Don't use in competition unless stuck) == ...
    2 KB (290 words) - 11:28, 3 December 2024
  • Now we <math>\log</math> it a third time... and we're stuck 😐. There is no pretty formula for taking the <math>\log</math> of two thing Whenever you get stuck, you want to "zoom out" and re-gain perspective of what it is you're actual ...
    10 KB (1,595 words) - 21:13, 20 September 2021
  • ...toy spider crawls down at a rate of one inch for every two hours it's left stuck to the wall. One morning, at around <math>9</math> o' clock, Tony sticks th ...
    1 KB (269 words) - 16:21, 1 August 2018
  • ...tarting an interactive worksheet to preview concepts; or when students get stuck with a problem. ...
    6 KB (824 words) - 14:02, 19 August 2024
  • ...h>10,10,12</math> is essentially <math>2</math> “6,8,10” right triangles stuck together. Hence, the height is <math>8</math>, and our area is <math>48</ma ...
    2 KB (318 words) - 08:00, 1 September 2022
  • ...scalar <math>\sqrt{2}</math>. Thus, we will always be in an infinite loop, stuck in state <math>S</math>, and thus it is impossible to complete the labeling ...
    8 KB (1,495 words) - 11:19, 17 July 2023
  • ...ay a game around an ellipse drawn in the sand. There are two softball bats stuck in the sand. Michael recognizes these as the foci of the ellipse. The bats ...
    3 KB (550 words) - 16:03, 7 August 2018
  • If you were stuck on this problem, refer to AOPS arithmetic lessons. ...
    2 KB (362 words) - 12:17, 6 June 2025
  • If you got stuck on this problem, refer to AOPS Number Theory. You're smart. ...
    1 KB (198 words) - 12:28, 6 June 2025
  • If you got stuck on this problem, refer to AOPS Probability and Combinations. ...
    3 KB (554 words) - 12:42, 6 June 2025
  • The function <math>\psi</math> is "stuck" at <math>\zeta_0</math> for all ordinals <math>\zeta_0\le o\le\Omega</math ...
    5 KB (811 words) - 13:16, 7 June 2020
  • ...at the author of this page is no longer, and thus this page is perpetually stuck in 2006. For instance, GA ARML now competes at the UGA ARML site. ...
    1 KB (186 words) - 10:52, 4 June 2012
  • ...AND free-response questions. Feel free to look at the solutions if you are stuck: ...
    9 KB (1,577 words) - 22:28, 28 June 2021
  • We are now stuck. We can't simplify further. But, we look back to the problem and see that t ...
    3 KB (457 words) - 23:27, 6 August 2025
  • ...solutions will be provided to the following problems(laziness). If you are stuck, ask on the forum. ...
    12 KB (2,137 words) - 02:43, 17 May 2025