User contributions for Esque

10:4110:41, 8 April 2012 diff hist 0 Mock AIME I 2012 Problems/Problem 1 →Solution
10:1310:13, 8 April 2012 diff hist +4 Mock AIME I 2012 Problems →Problem 2 current
10:1310:13, 8 April 2012 diff hist +269 Mock AIME I 2012 Problems/Problem 2 →Solution
10:1210:12, 8 April 2012 diff hist +2,337 N Mock AIME I 2012 Problems/Problem 2 Created page with "==Solution== '''Case 1: There are no consecutive odd numbers in the permutation''' Then either the even numbers occupy the even places and the odd numbers the odd places of the ..."

16:4916:49, 7 April 2012 diff hist −8 Mock AIME I 2012 Problems →Problem 5
16:4716:47, 7 April 2012 diff hist −7 Mock AIME I 2012 Problems/Problem 5 →Problem
16:4616:46, 7 April 2012 diff hist +3,237 N Mock AIME I 2012 Problems/Problem 15 Created page with "==Problem== Paula the Painter initially paints every complex number black. When Paula toggles a complex number, she paints it white if it was previously black, and black if it wa..."
16:4416:44, 7 April 2012 diff hist +2,155 N Mock AIME I 2012 Problems/Problem 14 Created page with "==Problem== Let <math>S</math> be the set of complex numbers of the form <math>c+di</math> such that <math>c+di = (a+bi)^{12}</math> for some integers <math>a</math> and <math>b<..."
16:4316:43, 7 April 2012 diff hist +2,403 N Mock AIME I 2012 Problems/Problem 13 Created page with "==Problem== Eduardo and Silvie play the Factor Game. Eduardo initially picks a number <math>N</math>; Silvie then subtracts a factor of <math>N</math> from <math>N</math> to get ..."
16:4116:41, 7 April 2012 diff hist +1,130 N Mock AIME I 2012 Problems/Problem 12 Created page with "==Problem== Let <math>P(x)</math> be a polynomial of degree 10 satisfying <math>P(x^2) = P(x)P(x-1)</math>. Find the maximum possible sum of the coefficients of <math>P(x)</math>..."
16:4016:40, 7 April 2012 diff hist +1,715 N Mock AIME I 2012 Problems/Problem 9 Created page with "==Problem== A class of seven students is doing a Secret Santa, for which all seven students have contributed a gift each. However, one of the seven students has not arrived yet. ..."
16:3916:39, 7 April 2012 diff hist +2,565 N Mock AIME I 2012 Problems/Problem 8 Created page with "==Problem== Suppose that the complex number <math>z</math> satisfies <math>\left|z\right| = \left|z^2+1\right|</math>. If <math>K</math> is the maximum possible value of <math>\..."
16:3816:38, 7 April 2012 diff hist +2,151 N Mock AIME I 2012 Problems/Problem 7 Created page with "==Problem== Let two circles <math>O_1, O_2</math> with radii <math>3, 5</math> in the plane be centered at points <math>M, N</math>, respectively. Consider a point <math>P</math>..."
16:3616:36, 7 April 2012 diff hist +1,580 N Mock AIME I 2012 Problems/Problem 6 Created page with "==Problem== Eli has 5 strings. He begins by taking one end of one of the strings, and tying it to another end of a string (possibly the same string) chosen at random. He contin..."
16:3516:35, 7 April 2012 diff hist −3 Mock AIME I 2012 Problems/Problem 5 No edit summary
16:3416:34, 7 April 2012 diff hist +1,926 N Mock AIME I 2012 Problems/Problem 5 Created page with "==Problem== Define a \emph{triple inequality} to be an inequality of the form <math>r_i > r_j > r_k</math>. Bradley has a list of 50 real numbers <math>(r_1, r_2, \cdots, r_{50})..."
16:3316:33, 7 April 2012 diff hist +1,516 N Mock AIME I 2012 Problems/Problem 4 Created page with "==Problem== Consider the polynomial <math>p(x)=3x^2+2x+1</math>. Let <math>p^n (x) = p(p^{n-1}(x))</math> and <math>p^1 (x) = p(x)</math>. The product of the roots of <math>p^5 (..."
16:3116:31, 7 April 2012 diff hist +1,287 N Mock AIME I 2012 Problems/Problem 3 Created page with "==Problem== Triangle <math>MNO</math> has <math>MN=11</math>, <math>NO=21</math>, <math>MO=23</math>. The trisection points of <math>MO</math> are <math>E</math> and <math>F</mat..."
16:2916:29, 7 April 2012 diff hist +1,336 N Mock AIME I 2012 Problems/Problem 1 Created page with "== Problem== A circle of maximal area is inscribed in the region bounded by the graph of <math>y=-x^2 -7x + 12</math> and the <math>x</math>-axis. The radius of this circle is <m..."
16:2716:27, 7 April 2012 diff hist +7,622 N Mock AIME I 2012 Problems Created page with "==Problem 1== A circle of maximal area is inscribed in the region bounded by the graph of <math>y=-x^2 -7x + 12</math> and the <math>x</math>-axis. The radius of this circle is <..."
16:1616:16, 7 April 2012 diff hist −16 Mock AIME I 2012 No edit summary
16:1616:16, 7 April 2012 diff hist +1,048 N Mock AIME I 2012 Created page with "The '''Mock AIME I 2012''' was created by AoPS users esque, Yongyi781, hyperbolictangent, osmosis92, mr10123, Walk Around the River, dinoboy, bzprules, and centralbs. * [[Mock A..."
16:1316:13, 7 April 2012 diff hist −68 Mock AIME No edit summary