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- == Problem == ...>-digit number, for a total of <math>(2^1 - 2) + (2^2 - 2) + (2^3 -2) + (2^4 - 2) = 22</math> such numbers (or we can list them: <math>AB, BA, AAB, ABA,3 KB (508 words) - 01:16, 19 January 2024
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- ..., then adding together the totals of each part. Casework is a very general problem-solving approach, and as such has wide applicability. '''Solution''': We divide the problem into cases, based on how long the word is.5 KB (709 words) - 17:40, 24 September 2024
- ...aginary part of a complex number is real: for example, <math>\Im(3 + 4i) = 4</math>. So, if <math>z\in \mathbb C</math>, we can write <math>z=\mathrm{R *[[2007 AMC 12A Problems/Problem 18]]5 KB (860 words) - 15:36, 10 December 2023
- ...Cameron Matthews. In 2003, Crawford became the first employee of [[Art of Problem Solving]] where he helped to write and teach most of the online classes dur * Perfect score on the [[AIME]] as a freshman.2 KB (362 words) - 11:20, 27 September 2024
- ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2004 AIME I Problems]]1 KB (135 words) - 18:15, 19 April 2021
- ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2004 AIME II Problems]]1 KB (135 words) - 12:24, 22 March 2011
- ...contains the full set of test problems. The rest contain each individual problem and its solution. * [[2005 AIME I Problems]]1 KB (154 words) - 12:30, 22 March 2011
- {{AIME Problems|year=2005|n=I}} == Problem 1 ==6 KB (983 words) - 05:06, 20 February 2019
- {{AIME Problems|year=2004|n=I}} == Problem 1 ==9 KB (1,434 words) - 13:34, 29 December 2021
- == Problem == Now, consider the strip of length <math>1024</math>. The problem asks for <math>s_{941, 10}</math>. We can derive some useful recurrences f6 KB (899 words) - 20:58, 12 May 2022
- == Problem == Thus, the answer is <math>112 - 4 = \boxed{108}</math>.11 KB (1,857 words) - 12:57, 18 July 2024
- == Problem == ...zoid]], whose dimensions are <math> AB = 6, BC=5=DA, </math>and <math> CD=4. </math> Draw [[circle]]s of [[radius]] 3 centered at <math> A </math> and3 KB (431 words) - 23:21, 4 July 2013
- == Problem == ...ctor, which gives a distance <math>\sqrt{(-375-125)^2+(-375-0)^2}=125\sqrt{4^2+3^2}=\boxed{625}</math>.2 KB (268 words) - 22:20, 23 March 2023
- == Problem == ...+31+25+\ldots+1 = 7 + 36 + 30 + 24 + \ldots + 6 + 0 = 7 + 6 \cdot (6 + 5 + 4\ldots + 1) </math>8 KB (1,283 words) - 19:19, 8 May 2024
- == Problem == From <cmath>a_9 + a_{10} = f(4)^2 + f(4)f(5) = (4x-3)(9x-7) = 646 = 2\cdot 17 \cdot 19</cmath>, we find that by eit3 KB (535 words) - 22:25, 5 March 2025
- == Problem == ...tive integer divisors of <math>2004^{2004}</math> are divisible by exactly 2004 positive integers?2 KB (359 words) - 19:58, 24 December 2024
- == Problem == draw(E--B--C--F, linetype("4 4"));9 KB (1,500 words) - 20:06, 8 October 2024
- == Problem == ...c{11}{24}b_3</math>, the second monkey got <math>\frac{1}{8}b_1 + \frac{1}{4}b_2 + \frac{11}{24}b_3</math>, and the third monkey got <math>\frac{1}{8}b_6 KB (950 words) - 14:18, 15 January 2024
- ==Problem== ...e initial problem statement, we have <math>1000w\cdot\frac{1}{4}t=\frac{1}{4}</math>.4 KB (592 words) - 19:02, 26 September 2020
- == Problem == ...>-digit number, for a total of <math>(2^1 - 2) + (2^2 - 2) + (2^3 -2) + (2^4 - 2) = 22</math> such numbers (or we can list them: <math>AB, BA, AAB, ABA,3 KB (508 words) - 01:16, 19 January 2024
- == Problem == ...mes 7 \times 11</math>. Then the extra layer makes the entire block <math>4\times8\times12</math>, and <math>N= \boxed{384}</math>.2 KB (377 words) - 11:53, 10 March 2014
