# User contributions

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- 09:32, 2 January 2022
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**(+1,755)** . . 2020 CIME II Problems/Problem 9 (→Solution) (current) - 09:37, 30 December 2021
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**(+1,909)** . . N 2020 CIME II Problems/Problem 10 (Created page with "First suppose that <math>c=1</math>. Then <math>a+b+1=ab\Rightarrow (a-1)(b-1)=2</math> from whence we have <math>(a,b,c)\in\{(2,3,1),(3,2,1)\}</math>. Now suppose that <math...") (current) - 00:07, 30 December 2021
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**(+1,292)** . . 2020 CIME I Problems/Problem 6 (→Solution) - 16:49, 6 June 2018
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**(+1,157)** . . 1985 AIME Problems/Problem 11 (→Solution) - 07:40, 23 March 2015
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**(+2,221)** . . 2015 AIME I Problems/Problem 10 (→Solution 3: and solution 4) - 01:58, 17 March 2013 (diff | hist) . . (+367) . . N 1991 AHSME Problems/Problem 11 (Created page with "Jack and Jill run 10 km. They start at the same point, run 5 km up a hill, and reurn to the starting point by the same route. Jack has a 10 minute head start and runs at the rate...")
- 01:53, 17 March 2013
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**(+592)** . . N 1991 AHSME Problems/Problem 8 (Created page with "Liquid <math>X</math> does not mix with water. Unless obstructed, it spreads out on the surface of water to form a circular film <math>0.1</math>cm thick. A rectangular box measu...") - 01:48, 17 March 2013 (diff | hist) . . (+140) . . N 1991 AHSME Problems (Created page with "Link to full test below. http://www.artofproblemsolving.com/Forum/resources.php?c=182&cid=44&year=1991&sid=23c56fcb006bee49b72650509fbedb9b")
- 01:39, 17 March 2013 (diff | hist) . . (+292) . . N 1991 AHSME Problems/Problem 12 (Created page with "The measures (in degrees) of the interior angles of a convex hexagon form an arithmetic sequence of integers. Let <math>m</math> be the measure of the largest interior angle of t...")
- 01:35, 17 March 2013 (diff | hist) . . (+259) . . N 1991 AHSME Problems/Problem 7 (Created page with "\If <math>x=\frac{a}{b}</math>, <math>a\neq b</math> and <math>b\neq 0</math>, then <math>\frac{a+b}{a-b}=</math> (A) <math>\frac{x}{x+1}</math> (B) <math>\frac{x+1}{x-1}</math>...")
- 01:33, 17 March 2013 (diff | hist) . . (+393) . . N 1991 AHSME Problems/Problem 24 (Created page with "The graph, <math>G</math> of <math>y=\log_{10}x</math> is rotated <math>90^{\circ}</math> counter-clockwise about the origin to obtain a new graph <math>G'</math>. Which of the f...")
- 01:29, 17 March 2013 (diff | hist) . . (+449) . . N 1991 AHSME Problems/Problem 16 (Created page with "One hundred students at Century High School participated in the AHSME last year, and their mean score was 100. The number of non-seniors taking the AHSME was <math>50\%</math> mo...")
- 01:26, 17 March 2013 (diff | hist) . . (+199) . . N 1991 AHSME Problems/Problem 4 (Created page with "Which of the following triangles cannot exist? (A) An acute isosceles triangle (B) An isosceles right triangle (C) An obtuse right triangle (D) A scalene right triangle (E) A sc...")
- 01:24, 17 March 2013 (diff | hist) . . (+218) . . N 1991 AHSME Problems/Problem 6 (Created page with "If <math>x\geq 0</math>, then <math>\sqrt{x\sqrt{x\sqrt{x}}}=</math> (A) <math>x\sqrt{x}</math> (B) <math>x \sqrt[4]{x}</math> (C) <math>\sqrt[8]{x}</math> (D) <math>\sqrt[8]{x^...")
- 01:20, 17 March 2013 (diff | hist) . . (+232) . . N 1991 AHSME Problems/Problem 27 (Created page with "If <math>x+\sqrt{x^2-1}+\frac{1}{x-\sqrt{x^2-1}}=20</math> then <math>x^2+\sqrt{x^4-1}+\frac{1}{x^2+\sqrt{x^4-1}}=</math> (A) <math>5.05</math> (B) <math>20</math> (C) <math>51....")
- 01:17, 17 March 2013 (diff | hist) . . (+500) . . N 1991 AHSME Problems/Problem 29 (Created page with "Equilateral triangle <math>ABC</math> has <math>P</math> on <math>AB</math> and <math>Q</math> on <math>AC</math>. The triangle is folded along <math>PQ</math> so that vertex <ma...")
- 01:11, 17 March 2013 (diff | hist) . . (+484) . . N 1991 AHSME Problems/Problem 30 (Created page with "For any set <math>S</math>, let <math>|S|</math> denote the number of elements in <math>S</math>, and let <math>n(S)</math> be the number of subsets of <math>S</math>, including ...")
- 01:05, 17 March 2013 (diff | hist) . . (+135) . . N 1991 AHSME Problems/Problem 20 (Created page with "The sum of all real <math>x</math> such that <math>(2^x-4)^3+(4^x-2)^3=(4^x+2^x-6)^3</math> is (A) 3/2 (B) 2 (C) 5/2 (D) 3 (E) 7/2")
- 01:03, 17 March 2013 (diff | hist) . . (+217) . . N 1991 AHSME Problems/Problem 18 (Created page with "If <math>S</math> is the set of points <math>z</math> in the complex plane such that <math>(3+4i)z</math> is a real number, then <math>S</math> is a (A) right triangle (B) cir...")
- 01:00, 17 March 2013 (diff | hist) . . (+281) . . N 1991 AHSME Problems/Problem 14 (Created page with "If <math>x</math> is the cube of a positive integer and <math>d</math> is the number of positive integers that are divisors of <math>x</math>, then <math>d</math> could be (A) <...")
- 00:57, 17 March 2013 (diff | hist) . . (+228) . . N 1991 AHSME Problems/Problem 10 (Created page with "Point <math>P</math> is <math>9</math> units from the center of a circle of radius <math>15</math>. How many different chords of the circle contain <math>P</math> and have intege...")
- 00:55, 17 March 2013 (diff | hist) . . (0) . . 1991 AHSME
- 00:54, 17 March 2013 (diff | hist) . . (+149) . . N 1991 AHSME Problems/Problem 3 (Created page with "<math>(4^{-1}-3^{-1})^{-1}=</math> (A) <math>-12</math> (B) <math>-1</math> (C) <math>\frac{1}{12}</math> (D) <math>1</math> (E) <math>12</math>")
- 00:52, 17 March 2013 (diff | hist) . . (+146) . . N 1991 AHSME Problems/Problem 2 (Created page with "<math>|3-\pi|=</math> (A) <math>\frac{1}{7}</math> (B) <math>0.14</math> (C) <math>3-\pi</math> (D) <math>3+\pi</math> (E) <math>\pi-3</math>")
- 00:49, 17 March 2013 (diff | hist) . . (+298) . . N 1991 AHSME Problems/Problem 1 (Created page with "If for any three distinct numbers <math>a</math>, <math>b</math>, and <math>c</math> we define <math>f(a,b,c)=\frac{c+a}{c-b}</math>, then <math>f(1,-2,-3)</math> is (A) <math>-...")
- 06:14, 1 April 2012
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**(-1,306)** . . 2012 AIME I Problems/Problem 13 (→Solution) - 06:12, 1 April 2012
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**(+4,437)** . . 2012 AIME I Problems/Problem 13 (→Solution) - 15:42, 2 March 2012
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**(+3,841)** . . N 2012 AMC 12B Problems/Problem 23 (Created page with "==Solution 1== Since <math>z_0</math> is a root of <math>P</math>, and <math>P</math> has integer coefficients, <math>z_0</math> must be algebraic. Since <math>z_0</math> is alg...") - 01:37, 1 March 2012
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**(+1,689)** . . 2012 AMC 12B Problems/Problem 17 (→Solution) - 00:48, 1 March 2012
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**(+1,091)** . . 2012 AMC 12B Problems/Problem 12 - 00:20, 1 March 2012
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**(+589)** . . 2012 AMC 12B Problems/Problem 13 (→Solution) - 22:28, 29 February 2012 (diff | hist) . . (+196) . . 1989 AHSME Problems/Problem 14
- 22:17, 29 February 2012
(diff | hist) . .
**(+723)** . . N 1989 AHSME Problems/Problem 16 (Created page with "Since the endpoints are (3,17) and (48,281), the line that passes through these 2 points has slope <math>m=\frac{281-17}{48-3}=\frac{264}{45}=\frac{88}{15}</math>. The equation o...") - 22:04, 29 February 2012 (diff | hist) . . (+300) . . 1989 AHSME Problems/Problem 6
- 10:56, 19 February 2012
(diff | hist) . .
**(+566)** . . N 1991 AHSME Problems/Problem 28 (Created page with "Initially an urn contains 100 white and 100 black marbles. Repeatedly 3 marbles are removed (at random) from the urn and replaced with some marbles from a pile outside the urn as...") - 10:24, 19 February 2012 (diff | hist) . . (+216) . . N 1989 AHSME Problems/Problem 3 (Created page with "Let <math>x</math> be the width of a rectangle so that the side of the square is <math>3x</math>. Since <math>2(3x)+2(x)=24</math> we have <math>x=3</math>. Thus the area of the ...")
- 10:20, 19 February 2012 (diff | hist) . . (-126) . . 1989 AHSME Problems/Problem 2
- 09:54, 19 February 2012 (diff | hist) . . (+8) . . 1989 AHSME Problems/Problem 1
- 06:53, 19 February 2012 (diff | hist) . . (+397) . . 1989 AHSME Problems (→Problem 30)
- 06:49, 19 February 2012 (diff | hist) . . (0) . . 1989 AHSME Problems (→Problem 27)
- 06:48, 19 February 2012 (diff | hist) . . (+274) . . 1989 AHSME Problems (→Problem 27)
- 06:45, 19 February 2012 (diff | hist) . . (+332) . . 1989 AHSME Problems (→Problem 25)
- 06:43, 19 February 2012 (diff | hist) . . (+386) . . 1989 AHSME Problems (→Problem 22)
- 06:39, 19 February 2012 (diff | hist) . . (+215) . . 1989 AHSME Problems (→Problem 29)
- 06:35, 19 February 2012 (diff | hist) . . (+289) . . 1989 AHSME Problems (→Problem 28)
- 06:34, 19 February 2012 (diff | hist) . . (+355) . . 1989 AHSME Problems (→Problem 26)
- 06:33, 19 February 2012 (diff | hist) . . (+406) . . 1989 AHSME Problems (→Problem 24)
- 06:28, 19 February 2012 (diff | hist) . . (+403) . . N 1989 AHSME Problems/Problem 24 (Created page with "Five people are sitting at a round table. Let <math>f\geq 0</math> be the number of people sitting next to at least 1 female and <math>m\geq0</math> be the number of people sitti...")
- 06:24, 19 February 2012 (diff | hist) . . (+289) . . N 1989 AHSME Problems/Problem 8 (Created page with "For how many integers <math>n</math> between 1 and 100 does <math>x^2+x-n</math> factor into the product of two linear factors with integer coefficients? <math> \mathrm{(A) \ 0 ...")
- 06:08, 19 February 2012 (diff | hist) . . (+365) . . N 1989 AHSME Problems/Problem 10 (Created page with "Consider the sequence defined recursively by <math>u_1=a</math> (any positive number), and <math>u_{n+1}=-1/(u_n+1)</math>, <math>n=1,2,3,...</math> For which of the following va...")

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