{"id":93,"date":"2023-09-07T16:58:14","date_gmt":"2023-09-07T16:58:14","guid":{"rendered":"https:\/\/programs.mcs.cmu.edu\/arml\/?page_id=93"},"modified":"2025-01-29T18:20:47","modified_gmt":"2025-01-29T18:20:47","slug":"archive","status":"publish","type":"page","link":"https:\/\/programs.mcs.cmu.edu\/arml\/archive\/","title":{"rendered":"Archive"},"content":{"rendered":"<p><div class=\"et_d4_element et_pb_section et_pb_section_0  et_pb_css_mix_blend_mode et_section_regular et_block_section\" >\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<span class=\"et_pb_background_pattern\"><\/span>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_d4_element et_pb_row et_pb_row_0  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_4_4 et_pb_column et_pb_column_0  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_0  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><h5 style=\"text-align: left\">Western PA Math Circle and ARML Team<\/h5><\/div>\n\t\t\t<\/div><div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_1  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><h1>Archive<\/h1><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_section et_pb_section_1  et_pb_css_mix_blend_mode et_section_regular et_block_section\" >\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_d4_element et_pb_row et_pb_row_1  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_1  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_0 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Spring 2021<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-01-17-21-1.pdf\" target=\"_blank\" rel=\"noopener\">Lattice Paths<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-01-17-21.pdf\" target=\"_blank\" rel=\"noopener\">Review<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-01-24-21.pdf\" target=\"_blank\" rel=\"noopener\">Sequences I<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-01-24-21.pdf\" target=\"_blank\" rel=\"noopener\">Matrices and Geometry I<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-01-31-21.pdf\" target=\"_blank\" rel=\"noopener\">Sequences II<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-01-31-21.pdf\" target=\"_blank\" rel=\"noopener\">Matrices and Geometry II<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-02-07-21.pdf\" target=\"_blank\" rel=\"noopener\">Number Theory I<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-02-07-21.pdf\" target=\"_blank\" rel=\"noopener\">Set Theory I<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-02-14-21.pdf\" target=\"_blank\" rel=\"noopener\">Number Theory II<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-02-14-21.pdf\" target=\"_blank\" rel=\"noopener\">Set Theory II<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-02-21-21.pdf\" target=\"_blank\" rel=\"noopener\">Area and Beyond I<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-02-21-21.pdf\" target=\"_blank\" rel=\"noopener\">Number Theory<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-02-28-21.pdf\" target=\"_blank\" rel=\"noopener\">Area and Beyond II<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-02-28-21.pdf\" target=\"_blank\" rel=\"noopener\">Number Theory II<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-03-14-21.pdf\" target=\"_blank\" rel=\"noopener\">Counting I<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-03-21-21.pdf\" target=\"_blank\" rel=\"noopener\">Diophantine Equations<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-03-21-21.pdf\" target=\"_blank\" rel=\"noopener\">Counting II<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-03-28-21.pdf\" target=\"_blank\" rel=\"noopener\">Pigeonhole and Recurrence I<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-03-28-21.pdf\" target=\"_blank\" rel=\"noopener\">Triangles<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-04-04-21.pdf\" target=\"_blank\" rel=\"noopener\">Pigeonhole and Recurrence II<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-04-11-21.pdf\" target=\"_blank\" rel=\"noopener\">Counting in Two Ways<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-04-11-21.pdf\" target=\"_blank\" rel=\"noopener\">Area I<\/a><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-04-18-21.pdf\" target=\"_blank\" rel=\"noopener\">Area II<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_2  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_1 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Fall 2020<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-08-30-20.pdf\" target=\"_blank\" rel=\"noopener\">Invariants<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-08-30-20.pdf\" target=\"_blank\" rel=\"noopener\">Graph Theory 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-09-06-20.pdf\" target=\"_blank\" rel=\"noopener\">Trigonometry 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-09-06-20.pdf\" target=\"_blank\" rel=\"noopener\">Graph Theory 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-09-13-20.pdf\" target=\"_blank\" rel=\"noopener\">Trigonometry 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-09-13-20.pdf\" target=\"_blank\" rel=\"noopener\">Graph Theory 3<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-09-20-20.pdf\" target=\"_blank\" rel=\"noopener\">Complex Numbers<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-09-20-20.pdf\" target=\"_blank\" rel=\"noopener\">Inscribed Angles 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-09-27-20.pdf\" target=\"_blank\" rel=\"noopener\">Polynomials<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-09-27-20.pdf\" target=\"_blank\" rel=\"noopener\">Inscribed Angles 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-10-18-20.pdf\" target=\"_blank\" rel=\"noopener\">Review<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-10-04-20.pdf\" target=\"_blank\" rel=\"noopener\">Inequalities 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-10-11-20.pdf\" target=\"_blank\" rel=\"noopener\">Inequalities 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-10-25-20.pdf\" target=\"_blank\" rel=\"noopener\">Logarithms 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-10-25-20.pdf\" target=\"_blank\" rel=\"noopener\">Algebraic Trigonometry 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-11-01-20.pdf\" target=\"_blank\" rel=\"noopener\">Logarithms 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-11-01-20.pdf\" target=\"_blank\" rel=\"noopener\">Algebraic Trigonometry 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-11-08-20.pdf\" target=\"_blank\" rel=\"noopener\">Plane Transformations 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-11-08-20.pdf\" target=\"_blank\" rel=\"noopener\">Recursion 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/jv-11-15-20.pdf\" target=\"_blank\" rel=\"noopener\">Plane Transformations 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/v-11-15-20.pdf\" target=\"_blank\" rel=\"noopener\">Recursion 2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_2  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_3  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_2 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Summer 2020<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Cycle 3<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-07-05-20.pdf\" target=\"_blank\" rel=\"noopener\">Coordinate Geometry 1 &amp; 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-07-05-20.pdf\" target=\"_blank\" rel=\"noopener\">Double Summation 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-07-12-20.pdf\" target=\"_blank\" rel=\"noopener\">Double Summation 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-07-19-20.pdf\" target=\"_blank\" rel=\"noopener\">Modular Arithmetic 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-07-19-20.pdf\" target=\"_blank\" rel=\"noopener\">Mods and Polynomials 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-07-26-20.pdf\" target=\"_blank\" rel=\"noopener\">Modular Arithmetic 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-07-26-20.pdf\" target=\"_blank\" rel=\"noopener\">Mods and Polynomials 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-competition-08-02-20.pdf\" target=\"_blank\" rel=\"noopener\">Competition 3<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Cycle 2<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-05-31-20.pdf\" target=\"_blank\" rel=\"noopener\">Induction 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-05-31-20.pdf\" target=\"_blank\" rel=\"noopener\">Geometric Inequalities 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-06-07-20.pdf\" target=\"_blank\" rel=\"noopener\">Induction 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-06-07-20.pdf\" target=\"_blank\" rel=\"noopener\">Geometric Inequalities 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-06-14-20.pdf\" target=\"_blank\" rel=\"noopener\">Bases and Exponents 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-06-14-20.pdf\" target=\"_blank\" rel=\"noopener\">Markov Chains 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-06-21-20.pdf\" target=\"_blank\" rel=\"noopener\">Bases and Exponents 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-06-21-20.pdf\" target=\"_blank\" rel=\"noopener\">Markov Chains 2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Cycle 1<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-04-26-20.pdf\" target=\"_blank\" rel=\"noopener\">Sequences and Series 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-04-26-20.pdf\" target=\"_blank\" rel=\"noopener\">Miscellaneous Combinatorics 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-05-03-20.pdf\" target=\"_blank\" rel=\"noopener\">Sequences and Series 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-05-03-20.pdf\" target=\"_blank\" rel=\"noopener\">Miscellaneous Combinatorics 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-05-10-20.pdf\" target=\"_blank\" rel=\"noopener\">Pigeonhole Principle 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-05-10-20.pdf\" target=\"_blank\" rel=\"noopener\">Graph Theory 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-05-17-20.pdf\" target=\"_blank\" rel=\"noopener\">Pigeonhole Principle 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-05-17-20.pdf\" target=\"_blank\" rel=\"noopener\">Graph Theory 2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Introduction to Online<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-03-29-20.pdf\" target=\"_blank\" rel=\"noopener\">Online 1<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-03-29-20.pdf\" target=\"_blank\" rel=\"noopener\">Online 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-jv-04-05-20.pdf\" target=\"_blank\" rel=\"noopener\">Online 2<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/online-v-04-05-20.pdf\" target=\"_blank\" rel=\"noopener\">Online 2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_4  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_3 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Spring 2020<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Combinatorics<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-jv-02-23-20.pdf\" target=\"_blank\" rel=\"noopener\">Pascal's Triangle<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-v-02-23-20.pdf\" target=\"_blank\" rel=\"noopener\">Advanced Counting<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-jv-03-01-20.pdf\" target=\"_blank\" rel=\"noopener\">Counting<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-v-03-01-20.pdf\" target=\"_blank\" rel=\"noopener\">Expected Value<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-jv-04-12-20.pdf\" target=\"_blank\" rel=\"noopener\">Counting with Cases<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-v-04-12-20.pdf\" target=\"_blank\" rel=\"noopener\">Generating Functions 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-jv-04-19-20.pdf\" target=\"_blank\" rel=\"noopener\">Induction<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-v-04-19-20.pdf\" target=\"_blank\" rel=\"noopener\">Generating Functions 2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Geometry<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-jv-01-12-20.pdf\" target=\"_blank\" rel=\"noopener\">Angles<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-v-01-12-20.pdf\" target=\"_blank\" rel=\"noopener\">Similarity<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-jv-01-19-20.pdf\" target=\"_blank\" rel=\"noopener\">Congruent Triangles<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-v-01-19-20.pdf\" target=\"_blank\" rel=\"noopener\">Collinearity<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-jv-01-26-20.pdf\" target=\"_blank\" rel=\"noopener\">Circles<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-v-01-26-20.pdf\" target=\"_blank\" rel=\"noopener\">Cyclic Quadrilaterals<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-jv-02-09-20.pdf\" target=\"_blank\" rel=\"noopener\">Similar Triangles<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-v-01-19-20.pdf\" target=\"_blank\" rel=\"noopener\">Collinearity<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-jv-02-16-20.pdf\" target=\"_blank\" rel=\"noopener\">Mirroring<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-v-02-16-20.pdf\" target=\"_blank\" rel=\"noopener\">Cevians<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_3  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_5  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_4 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Fall 2019<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Algebra<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<td>Advanced<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-jv-09-08-19.pdf\" target=\"_blank\" rel=\"noopener\">Equations<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-v-09-08-19.pdf\" target=\"_blank\" rel=\"noopener\">Equations<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-jv-09-15-19.pdf\" target=\"_blank\" rel=\"noopener\">Polynomials<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-v-09-15-19.pdf\" target=\"_blank\" rel=\"noopener\">Polynomials<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-jv-09-29-19.pdf\" target=\"_blank\" rel=\"noopener\">Complex Numbers<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-v-09-29-19.pdf\" target=\"_blank\" rel=\"noopener\">Roots of Unity<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-jv-10-06-19.pdf\" target=\"_blank\" rel=\"noopener\">Logarithms<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-v-10-06-19.pdf\" target=\"_blank\" rel=\"noopener\">Inequalities<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-at-10-06-19.pdf\" target=\"_blank\" rel=\"noopener\">Functional Equations<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-jv-10-13-19.pdf\" target=\"_blank\" rel=\"noopener\">Review<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-v-10-13-19.pdf\" target=\"_blank\" rel=\"noopener\">Review<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Number Theory<\/caption>\n<tbody>\n<tr>\n<td>JV<\/td>\n<td>Varsity<\/td>\n<td>Advanced<\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-jv-10-27-19.pdf\" target=\"_blank\" rel=\"noopener\">Primes and Divisors<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-v-10-27-19.pdf\" target=\"_blank\" rel=\"noopener\">Modular Inverses<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-jv-11-03-19.pdf\" target=\"_blank\" rel=\"noopener\">Euclidean Algorithm<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-v-11-03-19.pdf\" target=\"_blank\" rel=\"noopener\">Fermat's Little Theorem<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-jv-11-17-19.pdf\" target=\"_blank\" rel=\"noopener\">Modular Arithmetic<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-v-11-17-19.pdf\" target=\"_blank\" rel=\"noopener\">Systems of Modular Equations<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-jv-11-24-19.pdf\" target=\"_blank\" rel=\"noopener\">Fermat's Little Theorem<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-v-11-24-19.pdf\" target=\"_blank\" rel=\"noopener\">Diophantine Equations<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-at-11-24-19.pdf\" target=\"_blank\" rel=\"noopener\">Quadratic Reciprocity<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_6  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_5 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Spring 2019<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Number Theory<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/numtheory-03-10-19.pdf\" target=\"_blank\" rel=\"noopener\">Primes, Divisors and Modular Arithmetic<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/numtheory-03-17-19.pdf\" target=\"_blank\" rel=\"noopener\">Modular Arithmetic, Euclidean Algorithm and Modular Inverses<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/numtheory-03-24-19.pdf\" target=\"_blank\" rel=\"noopener\">Euclidean Algorithm, Fermat's Theorem and Euler's Theorem<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/numtheory-03-31-19.pdf\" target=\"_blank\" rel=\"noopener\">Review<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/numtheory-04-07-19.pdf\" target=\"_blank\" rel=\"noopener\">Modular Inverses, Chinese Remainder Theorem<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/numtheory-04-14-19.pdf\" target=\"_blank\" rel=\"noopener\">Fermat's Little Theorem, Diophantines<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Geometry<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-01-13-19.pdf\" target=\"_blank\" rel=\"noopener\">Angle Chsing and Similarity<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-01-20-19.pdf\" target=\"_blank\" rel=\"noopener\">Congruence<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-01-27-19.pdf\" target=\"_blank\" rel=\"noopener\">Circles<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-02-04-19.pdf\" target=\"_blank\" rel=\"noopener\">Review<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-02-11-19.pdf\" target=\"_blank\" rel=\"noopener\">Proportionality and Angle Chasing<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-02-18-19.pdf\" target=\"_blank\" rel=\"noopener\">Constructions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-02-25-19.pdf\" target=\"_blank\" rel=\"noopener\">Additions to Figures<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_4  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_7  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_6 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Fall 2018<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Algebra<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-10-28-18.pdf\" target=\"_blank\" rel=\"noopener\">Polynomials<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-11-11-18.pdf\" target=\"_blank\" rel=\"noopener\">Sequences and Series<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-11-18-18.pdf\" target=\"_blank\" rel=\"noopener\">Review 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-12-02-18.pdf\" target=\"_blank\" rel=\"noopener\">Trig\/Logs<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-12-09-18.pdf\" target=\"_blank\" rel=\"noopener\">Review 2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Combinatorics<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-09-16-18.pdf\" target=\"_blank\" rel=\"noopener\">Counting Techniques<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-09-23-18.pdf\" target=\"_blank\" rel=\"noopener\">Probability<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-09-30-18.pdf\" target=\"_blank\" rel=\"noopener\">Pigeonhole Principle<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-10-07-18.pdf\" target=\"_blank\" rel=\"noopener\">Review 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-10-14-18.pdf\" target=\"_blank\" rel=\"noopener\">Invariants<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-10-21-18.pdf\" target=\"_blank\" rel=\"noopener\">Review 2<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_8  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_7 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Spring 2018<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Probability<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-01-14-18.pdf\" target=\"_blank\" rel=\"noopener\">Probability without Counting<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-01-21-18.pdf\" target=\"_blank\" rel=\"noopener\">Expected Value and Conditional Probability<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Number Theory<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-01-28-18.pdf\" target=\"_blank\" rel=\"noopener\">104 Problems Part 1<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-02-11-18.pdf\" target=\"_blank\" rel=\"noopener\">104 Problems Part 2<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-02-18-18.pdf\" target=\"_blank\" rel=\"noopener\">104 Problems Part 3<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-02-18-18.pdf\" target=\"_blank\" rel=\"noopener\">Number Theory 4<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Algebra<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-03-11-18.pdf\" target=\"_blank\" rel=\"noopener\">Algebraic Manipulations<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Proofs<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-18-18.pdf\" target=\"_blank\" rel=\"noopener\">Things that Look True<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-25-18.pdf\" target=\"_blank\" rel=\"noopener\">Techniques<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-04-08-18.pdf\" target=\"_blank\" rel=\"noopener\">Induction<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-04-15-18.pdf\" target=\"_blank\" rel=\"noopener\">Special Topic<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_5  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_9  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_8 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Fall 2017<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Algebra<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-09-10-17.pdf\" target=\"_blank\" rel=\"noopener\">Polynomials<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-09-17-17.pdf\" target=\"_blank\" rel=\"noopener\">Systems of Equations<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-09-24-17.pdf\" target=\"_blank\" rel=\"noopener\">Complex Numbers<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-10-01-17.pdf\" target=\"_blank\" rel=\"noopener\">Sequences and Series<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Geometry<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-15-17.pdf\" target=\"_blank\" rel=\"noopener\">Angle Chasing<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-22-17.pdf\" target=\"_blank\" rel=\"noopener\">Length Chasing<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-29-17.pdf\" target=\"_blank\" rel=\"noopener\">Area Chasing<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Discrete\u00a0Math<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/discrete-11-12-17.pdf\" target=\"_blank\" rel=\"noopener\">Lattice Paths<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/discrete-11-19-17.pdf\" target=\"_blank\" rel=\"noopener\">Inclusion\/Exclusion<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/discrete-11-26-17.pdf\" target=\"_blank\" rel=\"noopener\">Set Theory<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/discrete-12-03-17-intro.pdf\" target=\"_blank\" rel=\"noopener\">Pigeonhole Intro<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/discrete-12-03-17-exer.pdf\" target=\"_blank\" rel=\"noopener\">Pigeonhole Exercises<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/discrete-12-17-17.pdf\" target=\"_blank\" rel=\"noopener\">Coloring<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_10  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_9 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Spring 2017<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Writing Proofs<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-01-15-17.pdf\" target=\"_blank\" rel=\"noopener\">Logic and Definitions I<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-01-15-17-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-01-22-17.pdf\" target=\"_blank\" rel=\"noopener\">Logic and Definitions II<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-01-29-17.pdf\" target=\"_blank\" rel=\"noopener\">The Pigeonhole Principle<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-01-29-17-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-02-05-17.pdf\" target=\"_blank\" rel=\"noopener\">The Extremal Principle<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-02-05-17-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Combinatorics<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-02-19-17.pdf\" target=\"_blank\" rel=\"noopener\">Counting Techniques<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-02-26-17.pdf\" target=\"_blank\" rel=\"noopener\">Probability<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-03-05-17.pdf\" target=\"_blank\" rel=\"noopener\">Expected Value and Recursion<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-03-12-17.pdf\" target=\"_blank\" rel=\"noopener\">Markov Chains<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/graph-theory-03-26-17.pdf\" target=\"_blank\" rel=\"noopener\">Graph Theory<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Ideas from Calculus<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/calculus-04-02-17.pdf\" target=\"_blank\" rel=\"noopener\">Asymptotic Calculus<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/calculus-04-09-17.pdf\" target=\"_blank\" rel=\"noopener\">Optimization Problems<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_6  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_11  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_10 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Fall 2016<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Number Theory<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-11-16.pdf\" target=\"_blank\" rel=\"noopener\">Modular Arithmetic<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-11-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-18-16.pdf\" target=\"_blank\" rel=\"noopener\">Euler's Totient Function<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-25-16.pdf\" target=\"_blank\" rel=\"noopener\">Integer Linear Equations<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-10-02-16.pdf\" target=\"_blank\" rel=\"noopener\">Sums of Squares<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Geometry<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-16-16.pdf\" target=\"_blank\" rel=\"noopener\">Similar Triangles<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-23-16.pdf\" target=\"_blank\" rel=\"noopener\">Circles<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-30-16.pdf\" target=\"_blank\" rel=\"noopener\">Trigonometry<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-11-06-16.pdf\" target=\"_blank\" rel=\"noopener\">Cyclic Quadrilaterals<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Functions<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/functions-11-20-16.pdf\" target=\"_blank\" rel=\"noopener\">Trigonometric Functions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/functions-11-27-16.pdf\" target=\"_blank\" rel=\"noopener\">Miscellaneous Functions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Sequences and Series<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-12-04-16.pdf\" target=\"_blank\" rel=\"noopener\">Summing Series<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-12-04-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-12-11-16.pdf\" target=\"_blank\" rel=\"noopener\">Solving Recurrences<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_12  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_11 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Spring 2016<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Algebra<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-01-17-16.pdf\" target=\"_blank\" rel=\"noopener\">Solving Polynomials<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-01-17-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-01-24-16.pdf\" target=\"_blank\" rel=\"noopener\">Not Solving Polnomials<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-01-24-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-02-07-16.pdf\" target=\"_blank\" rel=\"noopener\">Complex Numbers<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-02-07-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-02-14-16.pdf\" target=\"_blank\" rel=\"noopener\">Arithmetic and Geometric Series<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-02-14-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Writing Proofs<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-02-28-16.pdf\" target=\"_blank\" rel=\"noopener\">Invariants<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-02-28-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-06-16.pdf\" target=\"_blank\" rel=\"noopener\">Induction<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-06-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-13-16.pdf\" target=\"_blank\" rel=\"noopener\">Games<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-13-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Probability<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-04-03-16.pdf\" target=\"_blank\" rel=\"noopener\">Strategies<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-04-03-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-04-10-16.pdf\" target=\"_blank\" rel=\"noopener\">Foundations<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-04-10-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-04-17-16.pdf\" target=\"_blank\" rel=\"noopener\">Random Variables<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/probability-04-17-16-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_7  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_13  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_12 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Fall 2015<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Number Theory<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-13-15.pdf\" target=\"_blank\" rel=\"noopener\">Modular Arithmetic<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-13-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-20-15.pdf\" target=\"_blank\" rel=\"noopener\">Divisibility<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-20-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-27-15.pdf\" target=\"_blank\" rel=\"noopener\">Fermat's Little Theorem<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-27-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-10-04-15.pdf\" target=\"_blank\" rel=\"noopener\">Diophantine Equations<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-10-04-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Geometry<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-18-15.pdf\" target=\"_blank\" rel=\"noopener\">The Area Method<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-18-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"archive\/13-14\/geometry-12-08-13.pdf\" target=\"_blank\" rel=\"noopener\">Circles<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-11-01-15.pdf\" target=\"_blank\" rel=\"noopener\">Triangles<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-11-08-15.pdf\" target=\"_blank\" rel=\"noopener\">Coordinate Geometry<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-11-08-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Combinatorics<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-11-22-15.pdf\" target=\"_blank\" rel=\"noopener\">Permuations and Binomials<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-11-22-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-12-06-15.pdf\" target=\"_blank\" rel=\"noopener\">Counting Strategies<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-12-06-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-12-13-15.pdf\" target=\"_blank\" rel=\"noopener\">Recursions<\/a><\/td>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combinatorics-12-13-15-solutions.pdf\" target=\"_blank\" rel=\"noopener\">Solutions<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_14  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_13 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">2014-2015<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Algebra<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-11-30-14.pdf\" target=\"_blank\" rel=\"noopener\">Polnomial Bases<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-03-01-15.pdf\" target=\"_blank\" rel=\"noopener\">Solving Recurrences<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-03-15-15.pdf\" target=\"_blank\" rel=\"noopener\">Generating Functions I<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-03-29-15.pdf\" target=\"_blank\" rel=\"noopener\">Generating Functions II<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Combinatorics<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-09-14-14.pdf\" target=\"_blank\" rel=\"noopener\">Markov Chains<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-09-28-14.pdf\" target=\"_blank\" rel=\"noopener\">The Twelvefold Way<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/chess-12-07-14.pdf\" target=\"_blank\" rel=\"noopener\">Chess<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Geometry<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-10-19-14.pdf\" target=\"_blank\" rel=\"noopener\">Coordinate Geometry<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-11-02-14.pdf\" target=\"_blank\" rel=\"noopener\">3D Geometry<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Number Theory<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-01-25-15.pdf\" target=\"_blank\" rel=\"noopener\">Divisors and Factors<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-02-08-15.pdf\" target=\"_blank\" rel=\"noopener\">Lessons from AMC<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_8  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_15  et_pb_css_mix_blend_mode et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_14 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Spring 2014<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Algebra<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-01-26-14.pdf\" target=\"_blank\" rel=\"noopener\">Finite Sums<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-02-02-14.pdf\" target=\"_blank\" rel=\"noopener\">Solving Recurrences<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/algebra-02-09-14.pdf\" target=\"_blank\" rel=\"noopener\">Vieta's Formulas<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Proofs<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-02-14.pdf\" target=\"_blank\" rel=\"noopener\">Writing Proofs I<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/proofs-03-16-14.pdf\" target=\"_blank\" rel=\"noopener\">Writing Proofs II<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Generating\u00a0Functions<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/generating-05-04-14.pdf\" target=\"_blank\" rel=\"noopener\">Generating Functions I<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/generating-05-11-14.pdf\" target=\"_blank\" rel=\"noopener\">Generating Functions II<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div><div class=\"et_d4_element et_pb_column_1_2 et_pb_column et_pb_column_16  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_toggle et_pb_toggle_15 et_pb_toggle_item  et_pb_toggle_close\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<h5 class=\"et_pb_toggle_title\">Fall 2013<\/h5>\n\t\t\t\t<div class=\"et_pb_toggle_content clearfix\"><table class=\"archive-unit\">\n<caption>Number Theory<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-22-13.pdf\" target=\"_blank\" rel=\"noopener\">Modular Arithmetic<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-09-29-13.pdf\" target=\"_blank\" rel=\"noopener\">Divisors<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/number-theory-10-06-13.pdf\" target=\"_blank\" rel=\"noopener\">Everything Else<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Combinatorics<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-10-20-13.pdf\" target=\"_blank\" rel=\"noopener\">Inclusion-Exclusion and Binomials<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-10-27-13.pdf\" target=\"_blank\" rel=\"noopener\">Induction, Pigeonhole, Brute Force<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-11-03-13.pdf\" target=\"_blank\" rel=\"noopener\">Graph Theory<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/combo-11-10-13.pdf\" target=\"_blank\" rel=\"noopener\">Optimization<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table class=\"archive-unit\">\n<caption>Geometry<\/caption>\n<tbody>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-09-15-13.pdf\" target=\"_blank\" rel=\"noopener\">Incidence Geometry<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-12-08-13.pdf\" target=\"_blank\" rel=\"noopener\">Circles<\/a><\/td>\n<\/tr>\n<tr>\n<td><a href=\"https:\/\/programs.mcs.cmu.edu\/arml\/wp-content\/uploads\/sites\/3\/2023\/09\/geometry-12-15-13.pdf\" target=\"_blank\" rel=\"noopener\">Triangles<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><div class=\"et_d4_element et_pb_row et_pb_row_9  et_pb_css_mix_blend_mode et_block_row\">\n\t\t\t\t<div class=\"et_d4_element et_pb_column_4_4 et_pb_column et_pb_column_17  et_pb_css_mix_blend_mode et-last-child et_block_column\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_module et_d4_element et_pb_text et_pb_text_2  et_pb_text_align_left et_pb_bg_layout_light\">\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t<div class=\"et_pb_text_inner\"><p>Many solutions can be found at the following sites:<br \/><a href=\"https:\/\/artofproblemsolving.com\/wiki\/index.php?title=AMC_10_Problems_and_Solutions\" target=\"_blank\" rel=\"noopener\">AMC 10<\/a> | <a href=\"https:\/\/artofproblemsolving.com\/wiki\/index.php?title=AMC_12_Problems_and_Solutions\" target=\"_blank\" rel=\"noopener\"> AMC 12<\/a> | <a href=\"https:\/\/artofproblemsolving.com\/wiki\/index.php?title=AHSME_Problems_and_Solutions\" target=\"_blank\" rel=\"noopener\"> AHSME<\/a> | <a href=\"https:\/\/artofproblemsolving.com\/wiki\/index.php?title=AIME_Problems_and_Solutions\" target=\"_blank\" rel=\"noopener\">AIME<\/a> | <a href=\"http:\/\/www.cmimc.org\/archive\" target=\"_blank\" rel=\"noopener\">CMIMC<\/a> | <a href=\"https:\/\/pumac.princeton.edu\/archives\/\" target=\"_blank\" rel=\"noopener\">PUMaC<\/a> | <a href=\"http:\/\/www.nyciml.org\/free-past-contests\" target=\"_blank\" rel=\"noopener\">NYCIML<\/a><\/p><\/div>\n\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\n\t\t\t<\/div><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"class_list":["post-93","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/pages\/93","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/comments?post=93"}],"version-history":[{"count":45,"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/pages\/93\/revisions"}],"predecessor-version":[{"id":778,"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/pages\/93\/revisions\/778"}],"wp:attachment":[{"href":"https:\/\/programs.mcs.cmu.edu\/arml\/wp-json\/wp\/v2\/media?parent=93"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}