{"pages":{"search":{"query":"Art of the Problem","originalQuery":"Art of the Problem","serpid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","parentReqid":"","serpItems":[{"id":"4408173708887661393-0-0","type":"videoSnippet","props":{"videoId":"4408173708887661393"},"curPage":0},{"id":"4118854075337679279-0-1","type":"videoSnippet","props":{"videoId":"4118854075337679279"},"curPage":0},{"id":"2315242237431810640-0-2","type":"videoSnippet","props":{"videoId":"2315242237431810640"},"curPage":0},{"id":"2636084887637103937-0-3","type":"videoSnippet","props":{"videoId":"2636084887637103937"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEFydCBvZiB0aGUgUHJvYmxlbQo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","ui":"desktop","yuid":"7383908221765287196"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"17549551777931249912-0-5","type":"videoSnippet","props":{"videoId":"17549551777931249912"},"curPage":0},{"id":"17893652935458622542-0-6","type":"videoSnippet","props":{"videoId":"17893652935458622542"},"curPage":0},{"id":"5881701816973274495-0-7","type":"videoSnippet","props":{"videoId":"5881701816973274495"},"curPage":0},{"id":"2215253344325539953-0-8","type":"videoSnippet","props":{"videoId":"2215253344325539953"},"curPage":0},{"id":"1890175358837967207-0-9","type":"videoSnippet","props":{"videoId":"1890175358837967207"},"curPage":0},{"id":"5250162577678553908-0-10","type":"videoSnippet","props":{"videoId":"5250162577678553908"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEFydCBvZiB0aGUgUHJvYmxlbQo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","ui":"desktop","yuid":"7383908221765287196"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"4061992361543070183-0-12","type":"videoSnippet","props":{"videoId":"4061992361543070183"},"curPage":0},{"id":"3704400053263994125-0-13","type":"videoSnippet","props":{"videoId":"3704400053263994125"},"curPage":0},{"id":"13871133970414372203-0-14","type":"videoSnippet","props":{"videoId":"13871133970414372203"},"curPage":0},{"id":"15196739645821217424-0-15","type":"videoSnippet","props":{"videoId":"15196739645821217424"},"curPage":0},{"id":"4600425585565729052-0-16","type":"videoSnippet","props":{"videoId":"4600425585565729052"},"curPage":0},{"id":"6053545859645310170-0-17","type":"videoSnippet","props":{"videoId":"6053545859645310170"},"curPage":0},{"id":"9583001180977550990-0-18","type":"videoSnippet","props":{"videoId":"9583001180977550990"},"curPage":0},{"id":"1047684395636208887-0-19","type":"videoSnippet","props":{"videoId":"1047684395636208887"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dEFydCBvZiB0aGUgUHJvYmxlbQo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","ui":"desktop","yuid":"7383908221765287196"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DArt%2Bof%2Bthe%2BProblem"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"6389537822145492727266","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1407487,0,58;1414492,0,86;1381081,0,25;1436971,0,48;1437713,0,70;1436026,0,64;1430180,0,12;1152685,0,51;1427781,0,71;1434899,0,33;27383,0,2;1428133,0,85;260556,0,79;1418739,0,96;1433377,0,97;1425772,0,79;1428626,0,98;1419907,0,55;1430624,0,0;1188718,0,2;123857,0,3;89019,0,76;1417539,0,50;724635,0,99;1433603,0,4;1422262,0,90;912217,0,72;90498,0,59;151171,0,30;128381,0,62;126356,0,77;1269693,0,26;1281084,0,14;287509,0,79;1006737,0,39"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DArt%2Bof%2Bthe%2BProblem","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Art+of+the+Problem","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Art+of+the+Problem","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Art of the Problem: 2 bin video Yandex'te bulundu","description":"\"Art of the Problem\" sorgusu için arama sonuçları Yandex'te","shareTitle":"Art of the Problem — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yfe969a7e5207bf5b90da766b1624b3b2","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1407487,1414492,1381081,1436971,1437713,1436026,1430180,1152685,1427781,1434899,27383,1428133,260556,1418739,1433377,1425772,1428626,1419907,1430624,1188718,123857,89019,1417539,724635,1433603,1422262,912217,90498,151171,128381,126356,1269693,1281084,287509,1006737","queryText":"Art of the Problem","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"7383908221765287196","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1437540,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1765287245","tz":"America/Louisville","to_iso":"2025-12-09T08:34:05-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1407487,1414492,1381081,1436971,1437713,1436026,1430180,1152685,1427781,1434899,27383,1428133,260556,1418739,1433377,1425772,1428626,1419907,1430624,1188718,123857,89019,1417539,724635,1433603,1422262,912217,90498,151171,128381,126356,1269693,1281084,287509,1006737","queryText":"Art of the Problem","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"7383908221765287196","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"6389537822145492727266","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":154,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"7383908221765287196","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1729.0__491d2077c35fc53c28577367d9c4833c662b0670","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"4408173708887661393":{"videoId":"4408173708887661393","docid":"34-7-3-ZCD5A235351425AA9","description":"Art of Problem Solving's Richard Rusczyk introduces the idea of operations. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos and updates...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3505786/83d3f070e4104d0ecf6e3a6452452388/564x318_1"},"target":"_self","position":"0","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYrZlulMfQVE","linkTemplate":"/video/preview/4408173708887661393?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Introduction to Operations","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=YrZlulMfQVE\",\"src\":\"serp\",\"rvb\":\"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__f_AQD7_gL_AwT-ARUF-Ab1AQEA8QEC_P4BAAD1AfwB9QAAAP0L_AUMAAAA7QD_-_sBAAAGBP0BBAAAABzwAgH6AAAADwD7Bv4BAAD2BAIJ9wIAAQcCBfj_AAAABQAGCvv_AAD9DQD6AAAAAP_4_goAAAAAIAAtcf3VOzgTQAlITlACKnMQABpg9xkAIhIH_dv5Ntzl6s0X4-X27AjMDP_yswD4FhjLGxHCxArk_zrU7hC3AAAA_uj8_wMA5lj4-90NDC8A_OwVLw9_8xsK9AYJAPogQhQ25ybxw-0bAKv-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-EEAAAxCAACAwQAAmMEAAJRCAABAwQAAhEIAADzCAACIQgAAbEIAAChCAACAPwAAgMAAAHhCAACaQgAAyEEAAETCAACowQAAwsIAAOhBAABAwAAAFMIAAHjCAAAAQQAAcMEAAI5CAAB8wgAAKMIAAFDCAAAEwgAAcMEAAIDAAABgQgAAQEIAABjCAAAYQgAAmEEAAFjCAACUwgAAYMEAAHBCAAAAQQAAAAAAAMBBAADAQQAAoMAAAOBBAACgwAAACMIAAIRCAACgwQAAqEEAAFDCAABAQAAAAMEAAODBAAAwwgAAIMIAAI5CAAAcwgAAcEEAAGDBAAAAQQAAyEEAANjBAACwwQAAiEEAAABBAACYwQAA2MEAAEDAAADAQQAAQEEAAKBAAABQQQAAYEIAAOjBAACMQgAAjkIAAATCAACIwQAAYMIAANDBAAAAwAAADMIAAEjCAAAUQgAAEMIAAFBBAADQwQAA2EEAAEDBAADgQAAAbMIAAGBBAACAwAAAgEAAAGDBAADgwCAAOBNACUh1UAEqjwIQABqAAgAA-L0AAKC8AADWPgAAhj4AAGQ-AAAMPgAAMD0AADW_AADKvgAALL4AAKg9AABEvgAAiL0AAOA8AACOPgAATD4AAMg9AACoPQAAoLwAAAk_AAB_PwAAoDwAAKA8AAAkvgAAyr4AAGS-AABwPQAAVD4AAEy-AAAQvQAAtj4AAOo-AABEvgAAcD0AAEQ-AAAkPgAAUD0AADS-AACOvgAA4DwAAMi9AABUvgAAuD0AACw-AABMvgAAfL4AAIi9AACOvgAAgDsAABC9AABwPQAAPL4AAHA9AAB8PgAA2L0AAMg9AAAvPwAA6D0AAKA8AABEvgAA4DwAACw-AABUPgAAoj4gADgTQAlIfFABKo8CEAEagAIAADC9AADIPQAAgDsAAC2_AAC4vQAA-L0AABC9AADIvQAAoDwAALI-AACgvAAAiL0AAHA9AACGvgAAJD4AAIi9AAAsPgAAJT8AAFw-AADmPgAAhr4AAAQ-AACgPAAAUD0AAJi9AABwvQAAqD0AADA9AACgvAAAgLsAAKC8AABwPQAAND4AAOC8AACoPQAAML0AAOg9AACSPgAAbL4AANg9AAAQvQAAXD4AAIK-AABQvQAAcL0AAEC8AAB_vwAAgLsAAHC9AAAwvQAAuD0AAEy-AACIPQAAuD0AAKg9AABwPQAAUD0AALi9AAAUvgAAML0AAOA8AAAUPgAAgLsAAIA7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=YrZlulMfQVE","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4408173708887661393"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4118854075337679279":{"videoId":"4118854075337679279","docid":"34-8-15-ZE86D0C1410984CE0","description":"Art of Problem Solving's Richard Rusczyk introduces the concept of functions. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos and updates...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3577491/d99733edf2a9a6be6785f64191595cd5/564x318_1"},"target":"_self","position":"1","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DivWhbG_3A_4","linkTemplate":"/video/preview/4118854075337679279?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Introduction to Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ivWhbG_3A_4\",\"src\":\"serp\",\"rvb\":\"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-vv9BADvA_77BAEAABwA_P70AwMA4voD9wf7AgDrAwYAAv8AAO0K9wcGAAAA8fz9AAMAAAAPAfj8BAAAABH1AwcCAAAAB_L6A_8BAADyBvoHAwAAABYF_gYAAAAA9QcIA___AAAHEPD8AQAAAAj-BAYAAAAAIAAtk3nbOzgTQAlITlACKnMQABpgGxQAOBMG583wH9X21sIN3sfx5QO6Af_0sgARERnKCwjMoRTj_0zM7BGpAAAA9Ab__RYA_msW-OEjCy744NwpIx9_GykE9iT-CcEvThpC8PzXtu4kAM31CAw7E6FMEyMPIAAtYAIiOzgTQAlIb1ACKq8GEAwaoAYAAKDAAAAAAAAAVEIAAExCAAAoQgAAcEEAAIRCAADwwQAAKMIAACDBAAAAQAAAkMEAAIDCAADYwQAAMEEAADDBAACSQgAAWMIAAIBAAABQwgAA4EAAAOjBAAAYwgAAsEEAAAxCAAAAQQAAiMEAAFTCAABoQgAAQEAAALhBAAAUQgAAHMIAAHBBAAAowgAAMEIAAFDBAACgQgAAIMEAADBCAACQwgAAdEIAABhCAAAgQQAAJMIAALBBAADgwAAAoMAAABRCAAAgwgAAgsIAAKhBAABAwQAA0EEAAHBBAADgwQAAwMAAABTCAADgQQAAEEEAAKDAAADwwQAAyMEAAJrCAACQwQAAyMEAANhBAAAswgAAGMIAAPBBAAB4QgAA8EEAAHTCAAAQQQAAgMEAAJjCAADwwgAAIEEAABzCAAAEwgAAhsIAADhCAABEwgAAAEAAAKJCAACaQgAAkMIAAAhCAACoQQAAgMAAAAhCAAAIwgAANEIAAPjBAABgQQAAQMIAAEBBAABQwQAAkEEAABDBAADgwQAASEIAAK5CAACCwgAAGMIAAARCAAAEQgAAhkIAAKDAAADIQQAAUMEAAHBCAACgQQAAEMIAADRCAABkQgAAAEIAAJLCAAAUwgAAUMIAAAAAAAAQQQAAcMEAAITCAAAYQgAAoEAAABRCAAD-wgAAgEAAAATCAACgwAAAwMAAAKhBAACAQQAAoEEAAIDBAACQQQAAcEEAAKjBAACUwgAAYEIAAABCAADgQQAA2EEAAKBBAACQQgAAgEAAAOBBAADgQAAAQEAAABBBAAAEwgAANEIAACDCAAAIQgAAPMIAAHTCAAAQwgAAAEIAAEhCAABAwAAAAMAAAEBAAABMQgAAMMEAAADCAAAoQgAAmEEAADDBAAAwwgAAgL8AALDBAACAPwAAREIAAGRCAADAwQAAhkIAAATCAACeQgAAgEIAAHDCAABAwAAA2MEAADTCAABwQQAAEMIAACTCAAAUQgAAFEIAALjBAABAwQAAMEEAAMDAAAAEQgAAgEAAAFBBAAAkwgAAskIAACBBAAD4QSAAOBNACUh1UAEqjwIQABqAAgAAiD0AADC9AADqPgAALD4AAFQ-AACqPgAAcD0AACG_AACevgAANL4AAAQ-AAB0vgAAQLwAAHA9AAB8PgAAZD4AAIA7AACgPAAAQLwAAAE_AAB_PwAA4LwAAIC7AAD4vQAA9r4AAOi9AADoPQAAXD4AABy-AABQvQAAnj4AAMo-AAA8vgAA6D0AALY-AAAQvQAAcD0AADy-AACmvgAALD4AAAS-AACKvgAA-D0AABw-AADovQAAHL4AAJi9AACCvgAAUD0AAKi9AACgPAAADL4AAFA9AABkPgAAoLwAAAQ-AAAPPwAAEL0AAKg9AAC4vQAA-D0AALg9AAA8PgAAsj4gADgTQAlIfFABKo8CEAEagAIAAOA8AADgPAAAQDwAACe_AADgvAAAcL0AADC9AAC4vQAAML0AAJo-AAAQvQAAcL0AAOg9AACevgAARD4AAJi9AAAkPgAALz8AACQ-AADSPgAAkr4AACw-AADgPAAAuD0AAIi9AAAcvgAA-D0AAOA8AACAOwAAoLwAAIA7AACoPQAAcD0AAHC9AABwPQAAgLsAAPg9AACKPgAAnr4AAKg9AAD4vQAAVD4AAI6-AABAPAAAgLsAAOC8AAB_vwAA4LwAAKC8AABQvQAAcD0AAEy-AAAwPQAAUD0AALg9AABQPQAAmD0AAOC8AAAcvgAAgLsAAHA9AAB0PgAAiD0AAOi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ivWhbG_3A_4","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4118854075337679279"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2315242237431810640":{"videoId":"2315242237431810640","docid":"34-6-4-Z66871518DD5DA878","description":"Art of Problem Solving's Richard Rusczyk describes the basics of inverse functions. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos and updates...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4945740/0b0ab1317d50f4089619835d055408f6/564x318_1"},"target":"_self","position":"2","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7o1nQ7O8-tc","linkTemplate":"/video/preview/2315242237431810640?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Introduction to Inverse Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7o1nQ7O8-tc\",\"src\":\"serp\",\"rvb\":\"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_gDqBgf9AwAAABsAAQr0AgIA2vT39gf5AwDyAAj8-wAAAOwL9wcGAAAA_v7-__j-AAAN_-z7AgAAABT5Cv0BAAAAA_z1CP8BAADr_wIJAwAAABcF_gYAAAAA9QgIA___AAD_BfUDAAAAAAL3BgcAAAAAIAAtbQzOOzgTQAlITlACKnMQABpgDhcALxEC9NvzGN3z2MkM9tsB7wa8_v_uwQAGFhvCEvjTuBfl_0fU6RS2AAAA_gkP_hwADF0d8uATBSkH0doYKCN__SEM9R4OAN8vRyI6AwnT0Qk0ANYF_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_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-AAD2PgAAgDsAAFW_AAAlvwAAiL0AACw-AACCvgAAQLwAAHQ-AAAkPgAA4DwAAKC8AAAQPQAADD4AACU_AAB_PwAAcD0AABA9AAAkvgAAwr4AABC9AAB0PgAAPD4AANi9AADovQAArj4AALI-AACqvgAAJD4AAAE_AACovQAAqD0AAHC9AACmvgAAcL0AAHS-AAAMvgAAyD0AAKA8AACYvQAAyL0AAKC8AACqvgAA6D0AAFS-AAC4PQAAfL4AAHA9AAA0PgAADL4AADA9AAA7PwAAQLwAAEQ-AACIvQAA6D0AAEQ-AAA8PgAAdD4gADgTQAlIfFABKo8CEAEagAIAAIC7AAAsPgAAQDwAABO_AAD4vQAA2L0AADA9AADovQAAQDwAAJo-AAAQPQAA6L0AANg9AACmvgAALD4AAJi9AAAcPgAALT8AACw-AADePgAAdL4AALg9AABAPAAAQDwAAFC9AAAUvgAAuD0AAKg9AABQvQAAML0AABA9AACoPQAA4LwAAIg9AAAsPgAAiL0AADQ-AAC6PgAAsr4AAIg9AABAvAAATD4AAHy-AACAuwAAUL0AAKA8AAB_vwAAUL0AAPi9AACIvQAA6D0AANi9AABwPQAAMD0AABQ-AABQPQAA4DwAAIA7AAA8vgAAQLwAABA9AAB0PgAAiD0AALi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7o1nQ7O8-tc","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2315242237431810640"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2636084887637103937":{"videoId":"2636084887637103937","docid":"34-4-1-Z9CE9E9AD2D2DCB67","description":"Art of Problem Solving's Richard Rusczyk explores how to describe a piecewise-defined function from its graph. This video is part of our AoPS Algebra curriculum. channel for more engaging math....","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4590953/5872cb723a970f27fd1d68f83fc8b6bf/564x318_1"},"target":"_self","position":"3","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLkDloPAiy_E","linkTemplate":"/video/preview/2636084887637103937?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Defining Piecewise Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LkDloPAiy_E\",\"src\":\"serp\",\"rvb\":\"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__f_AQDx-___CAL_ARUF-Ab1AQEA8QMI8gMBAADxAg_6BwAAAO0K9wcGAAAA9v3-_vz_AAAUA_sGBAAAABHxAfwDAAAACPj8Cv8BAAD2BAIJ9wIAAQ8G-Q__AAAA9wMM_AEAAAAFA_D8AAAAAAf4AP4AAAAAIAAtcf3VOzgTQAlITlACKnMQABpg_xUANyIQ9uT6IOQM4_EG8-kM7Oy-Fv_swwDh_hzcBgrHygz1_0a7-wu6AAAAEAT3-f8ABlb__8f_EQz_0r8DCyp_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-MEAAChCAACAQAAAMMEAAJRCAACAQQAAyMEAAKjBAACQQgAAIMEAAEjCAACgQAAA4MEAAMBBAABIQgAA4sIAALBBAAB8wgAAdEIAAIpCAACGwgAAgEAAAOBAAABAwQAAoMIAAIBCAACYwQAAJEIAAHDBAACGQgAAoEEAAAhCAADQwQAAgMEAABRCAABcQgAAAMEAAPDBAACEwgAAnsIAACDBAAAQwgAA4EEAAAzCAAAowgAAgMAAAIxCAADMwgAAgMAAADBBAADIwQAAMMIAAIjBAAAwQgAAgkIAAIhBAAAQQgAA-MEAABzCAAB8wgAAAMAAAFDBAABAQAAAoMAAAADAAACAPwAAwMAAAAhCAAAAQAAAQMEAAEBAAAAgQgAA2EEAAI7CAAD4QQAAgL8AAJTCAABowgAAMMIAABxCAADYwQAAREIAALBBAACQwQAAcEEAAIBAAADAwQAAeEIAAJhCAAAMwgAALMIAAChCAAAAAAAA4MAAABjCAACgwQAAsEEAAEDAAACwwQAAdEIAAIjCAABkwgAAXMIAAEDAAAC4QQAAgMAAAITCAADYwQAAQMAAANBBAACgwAAAOEIAAOjBAAAAwAAA2EEAAARCAAAUQgAAoEAAADDBAABAwSAAOBNACUh1UAEqjwIQABqAAgAAoLwAAIA7AADWPgAAQLwAAIg9AAC-PgAAiD0AABu_AAC6vgAAoDwAALg9AABkvgAADD4AAJg9AACiPgAAHL4AAEQ-AACAOwAAZD4AAAc_AAB_PwAAPD4AADw-AACAuwAAyr4AAHS-AAB8PgAAHD4AAAS-AADIPQAALD4AAJ4-AABMvgAAhj4AAKY-AADIvQAAFD4AAOg9AAB0vgAAiL0AAMa-AAAMvgAA6D0AAAw-AAA0vgAAoLwAACy-AAB0vgAAyL0AAOA8AAAkPgAA2L0AAOg9AAA8PgAAHL4AAKA8AABXPwAAFL4AALg9AAAMvgAAED0AAHC9AAAsPgAAPD4gADgTQAlIfFABKo8CEAEagAIAAKi9AABMPgAAcD0AACG_AAAEvgAAML0AAOA8AAAwvQAAML0AAHQ-AAC4vQAAXL4AABC9AACuvgAA6D0AAHC9AAB0PgAALz8AACw-AADSPgAALL4AADA9AACgPAAAgDsAAHC9AACovQAAiL0AABA9AACIPQAAEL0AADC9AACIPQAAmD0AAAS-AADIPQAAQDwAACw-AAAMPgAAZL4AAMg9AACovQAAFD4AAEy-AAAQvQAAyL0AACw-AAB_vwAA6L0AAEy-AADIPQAAJD4AAAS-AABwPQAA2D0AAFA9AACAOwAA4DwAAIC7AAAUvgAAoDwAAFA9AAAUPgAADD4AAIA7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=LkDloPAiy_E","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2636084887637103937"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17549551777931249912":{"videoId":"17549551777931249912","docid":"34-8-8-ZEB1099CFA9505B8F","description":"Art of Problem Solving's Other Guy lets the visuals speak for themselves in this creative approach to summing special arithmetic series. This video is part of our AoPS Algebra curriculum...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3086666/7f912dab2af1ed631a1c541201e7b631/564x318_1"},"target":"_self","position":"5","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuHewD8NdGcY","linkTemplate":"/video/preview/17549551777931249912?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Special Arithmetic Series","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uHewD8NdGcY\",\"src\":\"serp\",\"rvb\":\"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_E54CggQkAYAEKyqLARABGniBABD6-_0EAPwF_AYBBv0CFgYFAvYCAgDr-PzzAv8BAP0EAP0FAAAA-gf6EAIAAAD5BAEA__8AABQD-wYEAAAAHPwCAwIA_wAL-vgB_wEAAAwJ_gn2AwABDP79AQAAAAD7BAT9AAAAAAUD8fwAAAAAB_gA_gAAAAAgAC2Teds7OBNACUhOUAIqcxAAGmAMFQAjIwr1r_E4yezw-xDe3N7O6rsF_-OfAN4JQcgA_NfOLBr_TL3pE6gAAAAt3fH2-AD1dAbn-RUXGxG5wBsz2X_SCfbwHu4Dvkki6yYtAbS9_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-EEAAADCAACwQQAACEIAAJjBAADewgAAmMEAAEBAAAAMwgAADEIAAARCAAAAwQAAEMIAAJjBAADeQgAAhMIAAGzCAAB4wgAA2MEAAAxCAABkwgAANMIAAJhBAACAPwAAwEAAACTCAACYwQAAoEAAADTCAADoQQAAqEEAAATCAACWQgAAwMEAANjBIAA4E0AJSHVQASqPAhAAGoACAABAvAAAgLsAAK4-AABkPgAAPD4AABw-AACAOwAAFb8AAKa-AADovQAAED0AAES-AABQPQAAoLwAABw-AAA8PgAApj4AABC9AAAMvgAACT8AAH8_AABAPAAAED0AABy-AACYvQAAqL0AAKg9AAC2PgAAkr4AAOi9AACiPgAAij4AAES-AABkPgAAsj4AAIA7AAAwPQAAJL4AALK-AABsvgAAsr4AABy-AACyPgAA6D0AAKK-AACivgAAUL0AADy-AAAQvQAA-D0AADC9AACGvgAAmL0AAII-AAAsvgAAQDwAADU_AACgPAAAFD4AABS-AACoPQAAuD0AAII-AADWPiAAOBNACUh8UAEqjwIQARqAAgAAyL0AAPg9AADYvQAAMb8AAAS-AACIvQAA4LwAAOC8AAAwPQAAnj4AAKi9AADovQAAgLsAAJq-AAAEPgAAcL0AAOg9AAAdPwAAoLwAAMY-AABkvgAAMD0AAHC9AAAEPgAA4LwAADA9AAAQPQAAMD0AAOi9AABwvQAAML0AAIg9AAAMPgAA4LwAAFC9AAAwvQAAuD0AACw-AABsvgAAmD0AAFS-AACoPQAAPL4AADC9AADgPAAAuL0AAH-_AAAwPQAAXL4AAMi9AACgPAAAPL4AAAw-AABQPQAAqL0AAOA8AABQPQAAuD0AAFC9AABAPAAA4DwAAJg9AAAQPQAAmD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=uHewD8NdGcY","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17549551777931249912"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17893652935458622542":{"videoId":"17893652935458622542","docid":"34-8-6-Z9807EAFBCAB9B7E7","description":"Art of Problem Solving's Richard Rusczyk shows us how to read information from the graph of a function. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos....","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1538795/da408305975329b6f6505614aec7e352/564x318_1"},"target":"_self","position":"6","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiTnTJEC3UVI","linkTemplate":"/video/preview/17893652935458622542?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Reading Graphs of Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iTnTJEC3UVI\",\"src\":\"serp\",\"rvb\":\"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_E-cBggQkAYAEKyqLARABGniB-w8CBv0EAPD_A_7_AgABDAX_AvcAAADr-PzzAv8BAPICDvoHAAAA7Qr3BwYAAADu_vkC-wEAAAoFAAgEAAAAFwT8Cv8AAAAQ9v4G_wEAAP3_AgYD_wAADP79AQAAAAD_Av7__QH_AAUM-QMAAAAAC_7-AQAAAAAgAC0yyNw7OBNACUhOUAIqcxAAGmD1GAAoCw3_3u4N6ffa6Qjw8uz1-N4EAP3AAPkGJ94MAc7UEvH_KNn3D8oAAAAFAvXxJgD-QB36xg8EBvTs_gsaCH8LIQ79DCH86RsbDh8Q7N_K_hgA2v_9-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-AACoPQAApj4AANo-AABMvgAAP78AALa-AAAkvgAAiD0AAIK-AAC4PQAA-D0AAFQ-AAC4PQAA-D0AAFA9AADYvQAACT8AAH8_AADYPQAABD4AAKC8AAC-vgAAor4AAKI-AAAUPgAAfL4AABS-AACWPgAAxj4AACS-AACyPgAA3j4AAJi9AAA0PgAAdL4AAN6-AAD4PQAAjr4AAGy-AAD4PQAAuj4AANa-AAB8vgAARL4AAFS-AADYvQAA2L0AAKA8AAB0vgAAZD4AAPo-AAAsvgAAMD0AAFE_AABUPgAAcD0AAKa-AAAwPQAAPD4AAMg9AAAMPiAAOBNACUh8UAEqjwIQARqAAgAAgDsAAAQ-AADgPAAALb8AACy-AADgvAAAuD0AAJi9AACAuwAAdD4AAIi9AABMvgAAmD0AALK-AAA0PgAAiL0AAFQ-AAAjPwAA6D0AANo-AACGvgAAuD0AAIA7AACIPQAAUL0AAPi9AAAQPQAAED0AALi9AACYvQAAgDsAALg9AAAwPQAAmL0AAFA9AADgvAAAHD4AAJI-AACevgAAqD0AAAy-AABUPgAAXL4AAIA7AADgvAAAgLsAAH-_AAAwvQAAFL4AAIA7AAAsPgAABL4AAMg9AACYPQAAED0AABA9AAAwPQAAqD0AABy-AAAQvQAABD4AAIY-AADYPQAAiL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=iTnTJEC3UVI","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17893652935458622542"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5881701816973274495":{"videoId":"5881701816973274495","docid":"34-5-5-Z63C9D9B2A36B50F3","description":"Art of Problem Solving's Richard Rusczyk introduces the idea of chaining functions together through function composition. This video is part of our AoPS Algebra curriculum. channel for more...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4470653/11000b7559bc3695ac7f73c1d16d61f0/564x318_1"},"target":"_self","position":"7","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DEetd6VCKrss","linkTemplate":"/video/preview/5881701816973274495?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: What is Function Composition?","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Eetd6VCKrss\",\"src\":\"serp\",\"rvb\":\"EqkDChM0NDA4MTczNzA4ODg3NjYxMzkzChM0MTE4ODU0MDc1MzM3Njc5Mjc5ChMyMzE1MjQyMjM3NDMxODEwNjQwChMyNjM2MDg0ODg3NjM3MTAzOTM3ChQxNzU0OTU1MTc3NzkzMTI0OTkxMgoUMTc4OTM2NTI5MzU0NTg2MjI1NDIKEzU4ODE3MDE4MTY5NzMyNzQ0OTUKEzIyMTUyNTMzNDQzMjU1Mzk5NTMKEzE4OTAxNzUzNTg4Mzc5NjcyMDcKEzUyNTAxNjI1Nzc2Nzg1NTM5MDgKEzQwNjE5OTIzNjE1NDMwNzAxODMKEzM3MDQ0MDAwNTMyNjM5OTQxMjUKFDEzODcxMTMzOTcwNDE0MzcyMjAzChQxNTE5NjczOTY0NTgyMTIxNzQyNAoTNDYwMDQyNTU4NTU2NTcyOTA1MgoTNjA1MzU0NTg1OTY0NTMxMDE3MAoTOTU4MzAwMTE4MDk3NzU1MDk5MAoTMTA0NzY4NDM5NTYzNjIwODg4NwoTNDI2MDkwMTg4MjMxMjUzMjk5MAoUMTY0MDk4MDEyNDU1MjAwNzk2NzAaFQoTNTg4MTcwMTgxNjk3MzI3NDQ5NVoTNTg4MTcwMTgxNjk3MzI3NDQ5NWqvDRIBMBgAIkUaMQAKKmhoeHdib2V6bWV1c21na2JoaFVDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQRICABIqEMIPDxoPPxOaAoIEJAGABCsqiwEQARp4gQAQ-vv9BADz_Qn-DAL-AQ7-BgL3AAAA6_j88wL_AQD2AwECBwAAAP0L_AULAAAA8fz9AAMAAAD-Bvz_BAAAABvwAgH7AAAADwD7Bv4BAAD-BAEQA_8AABf6_gwAAAAA-_0C_f3-AAD9D_QCAAAAAAf4AP4AAAAAIAAtk3nbOzgTQAlITlACKnMQABpgEhoALBoK9dTjLeD82uAX7uf2-eTR7wD61gD_KB_OBPHLxwP1_0jU_Au7AAAA_vrwCQ0A7VcQ_9cKAhnxu_T_FBl_EQ8AATAB7LkTGCMr6t_rzgI0ANT3_gEhF6ND_h4RIAAt_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-AAC2PgAAED0AADu_AAB8vgAAiL0AAPg9AAB8vgAAqD0AADA9AAC4PQAARD4AAEA8AACAuwAAgLsAABE_AAB_PwAAML0AABQ-AABQvQAAkr4AADy-AAD4PQAADD4AAHC9AAAQPQAAZD4AAO4-AABcvgAAbD4AAIo-AAAMvgAAND4AABS-AABUvgAAJD4AACy-AAC6vgAAtj4AAGQ-AAA0vgAAXL4AAFS-AAC6vgAAiL0AAMi9AAD4PQAAML0AAKg9AACmPgAAiL0AAHA9AAAfPwAAoDwAAIC7AAA8vgAAuD0AADQ-AAAkPgAAiD0gADgTQAlIfFABKo8CEAEagAIAAOC8AACYPQAAqL0AADO_AABMvgAADL4AAFA9AADIvQAAoDwAAJY-AAC4vQAANL4AACQ-AADGvgAALD4AALi9AAAcPgAAJz8AAGQ-AADCPgAARL4AAOg9AACIPQAAJD4AAMi9AABQvQAAED0AABA9AABwvQAADL4AADC9AABwPQAA-D0AAMi9AACgvAAAcL0AAEw-AAAsPgAAkr4AAPg9AAAsvgAAhj4AAFS-AACAOwAA2D0AAOA8AAB_vwAAmL0AACy-AADYvQAAuD0AAEy-AADIPQAAyD0AAKA8AABwPQAAUD0AADA9AAAEvgAAUL0AAOg9AAB8PgAAoLwAANi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Eetd6VCKrss","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5881701816973274495"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2215253344325539953":{"videoId":"2215253344325539953","docid":"34-11-3-ZB32DC145466B243F","description":"In this discourse, Om Swami answers a question on the art of problem solving in technical development. He also shares how the same principles may be applied to solving problems in our life.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3292243/8887716082d132465bf6db2b38c9b413/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/xRYYBwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJHHGMxpq1po","linkTemplate":"/video/preview/2215253344325539953?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Art of Problem Solving","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JHHGMxpq1po\",\"src\":\"serp\",\"rvb\":\"EqkDChM0NDA4MTczNzA4ODg3NjYxMzkzChM0MTE4ODU0MDc1MzM3Njc5Mjc5ChMyMzE1MjQyMjM3NDMxODEwNjQwChMyNjM2MDg0ODg3NjM3MTAzOTM3ChQxNzU0OTU1MTc3NzkzMTI0OTkxMgoUMTc4OTM2NTI5MzU0NTg2MjI1NDIKEzU4ODE3MDE4MTY5NzMyNzQ0OTUKEzIyMTUyNTMzNDQzMjU1Mzk5NTMKEzE4OTAxNzUzNTg4Mzc5NjcyMDcKEzUyNTAxNjI1Nzc2Nzg1NTM5MDgKEzQwNjE5OTIzNjE1NDMwNzAxODMKEzM3MDQ0MDAwNTMyNjM5OTQxMjUKFDEzODcxMTMzOTcwNDE0MzcyMjAzChQxNTE5NjczOTY0NTgyMTIxNzQyNAoTNDYwMDQyNTU4NTU2NTcyOTA1MgoTNjA1MzU0NTg1OTY0NTMxMDE3MAoTOTU4MzAwMTE4MDk3NzU1MDk5MAoTMTA0NzY4NDM5NTYzNjIwODg4NwoTNDI2MDkwMTg4MjMxMjUzMjk5MAoUMTY0MDk4MDEyNDU1MjAwNzk2NzAaFQoTMjIxNTI1MzM0NDMyNTUzOTk1M1oTMjIxNTI1MzM0NDMyNTUzOTk1M2q2DxIBMBgAIkUaMQAKKmhocmNncHNqenpveHhmbWNoaFVDZnFZZXFTUGVrV0U2dFFFWkhUbngxdxICABIqEMIPDxoPPxPJBIIEJAGABCsqiwEQARp4gQAQ-vv9BAD7_gL_AwT-AfoD_wH5_f0A-PQB8gMD_wD2AwECBwAAAO0K9wcGAAAA7QQABP8BAAAEAfb-BAAAABH1AwcCAAAAEPb-Bv4BAAACAfoJ-QEAAAf_-P7_AAAA8fwJ_P4AAAD9EPX2AQAAAAP5_gMAAAAAIAAtk3nbOzgTQAlITlACKoQCEAAa8AF_9AMCvQsE_RwPEwAN4eYA4vUKABvaAwDA_wAAtukF_yIaCAD15_QACQYR_ywQ8__z_wcA6voHACIBAgApCgj_0fYRAF309QDYAtgBA-DgAfEECAAACvX_9P0FADUE7AHc5w3-CvgB_-UeCgHl3fQBHMoAAhLR-QAB_u__DO8bAxD2-f3H-gUABfYF_PPuAgf97_r_0_oABwfW_AQC7ewFzecPAQ0DBAH0-P8EBeEGCO78-PzzFAAF2wX9_Ssh-wTwF_8IBPoIB_neDAcdEQQDDR4O-gjq_f7mCA37CxEQBBYw-AYY8QX8Dub5_OcG9_EgAC08W0E7OBNACUhhUAIqcxAAGmAoFgAuHQrhyL9A4PP01SH33bz57cfq_-KaAOoOKdVPGYi7M_oAWdfUDpsAAAAG1A_gMQD5f9TE9yTnDAXh9esS7XXxDwH3LwP4zDvtHejPEAumHXMAhznDQCP-whMwuRsgAC0bGQs7OBNACUhvUAIqrwYQDBqgBgAAAEAAABRCAACCQgAAAMAAAARCAAA8wgAAwEAAACDCAAD2wgAAoMAAAEBAAADwQQAAfMIAAI7CAACoQQAAoMAAAFBBAAC4QQAAQEIAABBBAAAUQgAAIMEAABhCAACGQgAA-EEAAJBBAADwwQAAIMIAAIpCAACAQgAAgEAAADxCAACwwQAAQMEAACjCAADAwAAA4EAAAOJCAAAAwQAAsMEAALhBAAB8wgAAQEIAAIC_AADwQQAAsMEAABjCAAAwQQAAvEIAAKhBAADAwAAAqEEAAHBBAAD4wQAAMEEAAJDBAAB4wgAAgMAAAJrCAADAQAAAaEIAADjCAADAQQAAAEAAAIhBAAAQQQAAgEEAABTCAAAAQQAAQMEAAFBBAAD4QQAAgEEAANZCAAAUwgAAlMIAAKjBAABQwQAAVEIAACTCAAAQQQAAIEEAANBBAACIwQAAsEIAAMDBAABAwgAA6EEAAKpCAADIQQAAJMIAAGBBAAAEwgAAGMIAAIDAAACAwgAA-EEAANBBAAAYQgAARMIAAGTCAABUQgAAQEAAAJ7CAAA4wgAAdEIAABBBAAAkQgAAlsIAAKBBAACcQgAA4MEAAIDBAACowQAAaEIAANDBAABgwQAALMIAAADBAABswgAAgMAAAGDCAAAUwgAA4MAAAChCAABAwAAAHMIAAMLCAAAAwQAAJMIAAKDBAADwwQAAwEAAAJBBAACCQgAAQEAAAIA_AACQwQAAkEEAAEzCAABQQQAA8MEAAKDAAACAvwAAmkIAAGDBAACOwgAAXEIAABDBAAAkwgAAAEEAACDBAACQwQAAjMIAALhBAACgQQAAwEEAAFzCAABgQQAAukIAAODAAADAwAAAXMIAAJhBAAD4QQAAQMIAAJBBAAAoQgAAmEIAAJDBAABIwgAA2EEAAKhBAABgwQAA0MEAAJhBAADwQQAA4MEAAAhCAACQQgAAgL8AALDBAAB4wgAA4EAAAMhBAABIwgAAWMIAAEBBAADYQQAAgL8AAEzCAAA0wgAABEIAAEDBAAAQwQAA-MEAAIC_AADAQAAAgMAAAJjBIAA4E0AJSHVQASqPAhAAGoACAADIPQAA-L0AAKI-AAC4PQAA4DwAAAQ-AACAOwAAFb8AAIi9AADYvQAA6D0AAHA9AACAuwAA6D0AAIA7AACIPQAALD4AALg9AADgPAAAwj4AAH8_AAAEvgAAXD4AAKA8AAB8vgAABL4AAIg9AADIPQAAgLsAAFA9AABEPgAAbD4AAPi9AAD4PQAAyD0AADQ-AAAQPQAANL4AAMq-AACIvQAALL4AADy-AACAOwAAoDwAADS-AABkvgAA6D0AAHA9AACIvQAAQLwAAHA9AABwvQAABD4AAHw-AACWvgAAcD0AAC8_AAC4vQAAgDsAABy-AACIPQAAoDwAACw-AABAPCAAOBNACUh8UAEqjwIQARqAAgAAoDwAABS-AACYPQAAWb8AADC9AACovQAA2L0AAEC8AACgPAAAVD4AAEA8AACYvQAADD4AAKK-AAAkPgAAEL0AAIY-AAA1PwAATD4AANY-AABsvgAAND4AAIA7AADIPQAAML0AAKi9AAD4PQAAoLwAAKA8AADgPAAAgDsAAEA8AACePgAAoLwAAOg9AABAPAAAcL0AAHA9AACOvgAAhj4AAAS-AAAMPgAAZL4AAEC8AABcvgAAUL0AAH-_AAAMPgAAPL4AACS-AAD4vQAANL4AAOg9AAD4PQAAuL0AALg9AACIPQAAED0AABC9AABEvgAAML0AAOC8AACIvQAABD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=JHHGMxpq1po","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2215253344325539953"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1890175358837967207":{"videoId":"1890175358837967207","docid":"34-4-15-Z1563FC737641C0E5","description":"Art of Problem Solving's Richard Rusczyk introduces the trivial inequality and elements of proving inequalities. This video is part of our AoPS Algebra curriculum. channel for more engaging mat...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/225814/fb4fe6d7ee10059e4bd3b9923e8db1be/564x318_1"},"target":"_self","position":"9","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFQhK4DmDsn0","linkTemplate":"/video/preview/1890175358837967207?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: The Trivial Inequality","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FQhK4DmDsn0\",\"src\":\"serp\",\"rvb\":\"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-wH_AgD7_gL_AwT-ARUC8vr1AgIA9PD5_wUC_wDz-ggCBAAAAP0L_AUMAAAA8QD5CQEAAAAI_PX9-AAAABzwAgH6AAAACPANA_8BAAD-APgGA_8AAAX39QH_AAAA9QD_-gQAAADvDfT8AAAAAAn4-REAAAAAIAAtnnvXOzgTQAlITlACKnMQABpgARwAKB4I9OcGLdn6-_YT7d3dANq8AAANxwALEDPQJw_C1wTy_0vK8RK3AAAACtn8BAwABFf4BwX2GuXW7-ThMwh_9Q76Dx8nB9f-FxdH5wn27vVSAKgJCQxSB7gg_QYQIAAtvgk6OzgTQAlIb1ACKq8GEAwaoAYAAHBBAACgwAAAfEIAAOBBAABgQgAAFMIAAJBBAABEwgAAGMIAADDCAABAQQAAiMEAAFzCAACIwQAAKEIAABDCAABwQgAAwMEAAFDBAAAcwgAA2EEAABDBAAAMwgAAqEEAAIDAAABAwAAAsMEAAODBAAC2QgAAqEEAABhCAAB0QgAAgMEAAIpCAADowQAAUEEAAARCAADuQgAATMIAABDBAACAQAAABEIAAHhCAAB0wgAAIMEAAERCAACAvwAA4MAAAGxCAAAEwgAA4MAAAEDBAADgwQAA-EEAABxCAACIwgAABEIAAGBBAAAAQQAAgD8AAABCAABYwgAA6MEAAJjCAABgwQAAQEIAAFRCAAB8wgAAjsIAAARCAABQQgAAoEAAAHTCAAAQQQAAsMEAAHDCAAC2wgAAoMAAADhCAACswgAAQEAAAIC_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-AADmPgAAfD4AAPg9AACWPgAAqD0AAEO_AAD2vgAAML0AANg9AADgvAAAND4AABA9AAAEPgAAPL4AAIA7AAA0PgAATD4AACM_AAB_PwAAMD0AABA9AAAEPgAANL4AABy-AADoPQAA2D0AAKi9AACoPQAATD4AADA9AAA8vgAATD4AAFQ-AAAsPgAAMD0AAFS-AADGvgAAlr4AAHy-AADgvAAAJD4AAFA9AABEvgAAnr4AADC9AACivgAA-L0AABC9AACYPQAABL4AAAw-AACKPgAAyr4AAIA7AABBPwAAHD4AAIA7AAAkvgAAND4AAOg9AABsPgAAQDwgADgTQAlIfFABKo8CEAEagAIAAJi9AAA0PgAA4DwAADO_AABsvgAAML0AAHA9AAAQvQAAED0AADQ-AABwvQAALL4AABA9AAAsvgAAPD4AADC9AABkPgAAGz8AAAQ-AAD6PgAAir4AAKA8AACovQAAQLwAAIi9AADIvQAAMD0AABC9AADgvAAAQDwAABC9AACIPQAAqD0AAIC7AADYPQAAQLwAAEC8AABEPgAATL4AADA9AABEvgAAZD4AACy-AACgvAAALL4AAOA8AAB_vwAAED0AAAS-AACIvQAA2D0AAIi9AADgPAAAfD4AAFC9AAC4PQAAED0AAOA8AACYvQAAoLwAAJg9AACAOwAA-D0AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=FQhK4DmDsn0","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1890175358837967207"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5250162577678553908":{"videoId":"5250162577678553908","docid":"34-1-10-Z0B2495CAF8AC43B3","description":"Art of Problem Solving's Richard Rusczyk explores the discriminant of a quadratic. This video is part of our AoPS Algebra curriculum. Take your math skills to the next level with our Algebra...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3070731/2c956aa19da27234308bc755b7b90fd5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/4HtIJQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DSKFhXIv42N4","linkTemplate":"/video/preview/5250162577678553908?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: The Discriminant","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=SKFhXIv42N4\",\"src\":\"serp\",\"rvb\":\"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-vv9BAD_AfkG-Af9Ag7-BgL3AAAA-PQB8gMD_wD9AwD59wEAAPoD8ggHAAAA9gT5AgL_AAAH_wL1BAAAABn29Qj9AAAAEPb-Bv4BAAAMCf4J9gMAAQUI9P0AAAAA9QcIA___AAD9EPX2AQAAAAP5_gMAAAAAIAAtk3nbOzgTQAlITlACKoQCEAAa8AF_CAgB1erk_9sR3gCxGQEAovcLAAgw8QDL9v8AuPbHAAP9BgDR6A4AHPj1AJUr_wER3c4ABMriACTW8P9E4PkA9_MaASXZCwBG8B7_JRHW_-AiLf3z9AsAFAfP_RoM-f_-5CkACPvZAfbz2wZK-isA3xEZ_wzd__0A0wkF7PYOBvzm3v0T6fsI-APz_L8hGQP5vO8BFRMI-vYs8gQI__X7DusK_Sw21f8fEegF6CEJAcfm_gUY7usI6SMd_g009gDz9yYCxf8B9QgMCP8G4Pj8-fT6_RPF5QkO_v78-wH4-u_z-v3lLfb_5xT8BPXm8eggAC2NuxM7OBNACUhhUAIqzwcQABrAB08-xb5-2Nw8McawOwoHzL1XDxS8NIUOvTVFQL6Dlbk8rKIJPGeaMD4gkVu8Q-StOTRNKL5ZLsA79AmPPC0LVj6wily9QS0mvYbjCb7fIPU8rAEqveC7bb5eipY9FrlMvGyw8DwKa6E7DtmjujAO7jwvGQe8mLZJPFYQsz0H6hQ7s7xBvSgTMj2wXyu9sac9vWGvizy3JCw647APPeGXCj5xqJS9uqtsu8UA6Dvf5qi8398ePF0eRrwQBp48YZktvYJCyD3aE-48ItjdPLet0rx2jOu8lF5lPD_ULL14ojo9VX24vN4MnT0zedY7f-Idu8ApJz3wR4u9N9jAPGUXXL54p4w8KAS8u-yG7T2M94M9cluROxjSAb5Jg6s9liYlvEArdrupY_q82XoEPITtTD3k82o9VJD6PHDP8zwb3PG83j7rvAib8Lz_Yxw9Fw2ZPPTzUD3TwA-9u5KuvGuDrrzJSCw83saLvCpZib0ldDi7prXMupeg0Lx2ho68M-DJOr_Dgz00KpU8Cw-puQUjpT3WAju-SeWaOuC82L13YYC9Pn0CvFRkHj1YVQA673pEvPYFqT3BvNG8b3zxu6ERjbu5sCS84ML0ujX6hz0O_a6845mju-zJgr3eKCg9ocA3Ozp5bDx883Y8LtYmvP7Zuj0rEgM-y7FbuYGxHbsWSgu9sdKwu5sbqD3HybM7TqgWO2aFsj3WOnG8qgtbO9WVDz7U7Ea95UcZuXX1eb21t7W9rP-UugfI_LzTzCm9g6Vbuma2UD2J7tm9IZW9OZnAiD3zdt88xQeKtxEmG70BGIo9WDWRuZBt9Dyy6Ee9bevAuaaX-L3zq6m9qjR1OO4tm7wjSKm7kcD2Op0ICbz4As68cWPqNRQcg73HJK29GlEVOKQRvTwqaaw6xmdluA-u5TySd-49y8HjuMayC7xvXVa8dDCQt6D78jznKme9Ga1nOLwvnbyLgZ890q5sN3joYLz7Lya9QxYpNdElpz3O2Wc9_o8kOaMLRbx2T5M99i1HOAHGTj0mmrY8vyqGuAacJbyMatG9-lP3N4nwuj3DEaQ854yguLjkKL7Rf4W8nfgauZpKOj2BVkO7306ROBhQ-Ty0qko8wqr2N3hYkr1JfQc6SxRSOMHjKz7cpWi8B4l0uRmbbL2JhOW8tErON8Mm_bezQ4y9TYoONwcUoLrJILc9wteat9WU5Dy-Nqa986NNuCL_7D01KQU-835buLgfsLyviCs9ItOVuK1t6r0UO788b9LjN_Kg8rpbiSo9XhCqNyAAOBNACUhtUAEqcxAAGmAB_ABR-RnU5uNM2_Wv_eve7Nm7Ac_o_-Oy__cZJ9cu66fG8uEAI-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_AABQQgAAsEEAAEDCAABAQgAA2EEAAIC_AABcwgAAeEIAAJjBAAAgQgAAgMIAAJBCAAD4QQAAREIAAABAAACgwQAAQMAAAOJCAABAwAAApMIAAAAAAACGwgAAGMIAAIjBAAAAwQAAVMIAACBBAAAgQQAA4EEAABDCAACQwQAAAMEAAHDBAAC4wQAAMEEAALpCAADYQQAAgMEAAIjBAACAwQAAHMIAAKbCAACgQQAAMEEAACBCAADowQAAFEIAAKhBAAAswgAAMEEAAABBAACAwQAAAEEAABBCAADIQQAAGMIAAEBAAADYwQAASMIAAJDBAAB8wgAAgEAAANjBAAAwQgAAuEEAAIC_AACYQgAA8MEAAKjBAAD4QQAADEIAAATCAAAcwgAAAAAAALBBAACgQAAAEMIAALhBAAAwQgAAmMEAABhCAACoQgAAssIAAHzCAAC4wQAASMIAAPhBAACwwQAAaMIAADBBAACAwQAAoEAAAOhBAAAAAAAAAMAAACBBAAAAQAAAwEEAACjCAAAUQgAAwMAAADDBIAA4E0AJSHVQASqPAhAAGoACAACAOwAAiD0AAP4-AABAPAAAoLwAAK4-AABQPQAANb8AABW_AAC4PQAA4LwAABQ-AACIPQAAyD0AAFQ-AADYvQAAZD4AAFA9AACIPQAADT8AAH8_AAAEvgAAFD4AAIA7AACyvgAAdL4AABw-AACoPQAAZL4AACQ-AAAkPgAAcD0AAMi9AACiPgAALD4AAKC8AACIPQAAEL0AAJ6-AABkvgAATL4AAFC9AAAwPQAAUD0AALa-AAAUvgAAUD0AAEy-AACovQAAQLwAACQ-AACSvgAAuD0AAMg9AAAPvwAAcD0AAGU_AACIvQAAgDsAAKC8AACAuwAA4LwAAJY-AABwPSAAOBNACUh8UAEqjwIQARqAAgAAED0AAPg9AACAuwAAQ78AAGy-AACAOwAAEL0AAOA8AACovQAAxj4AAKC8AABwvQAAgDsAAIK-AAAUPgAAcL0AANg9AAArPwAADD4AAPI-AACOvgAAED0AAFC9AADgPAAA6L0AAFC9AACAuwAA4DwAACS-AACgvAAAML0AAEA8AABsPgAA4LwAAIg9AACgvAAAUD0AAGQ-AABMvgAAqD0AADy-AADIPQAAlr4AABC9AAC4vQAAQLwAAH-_AAAwvQAARL4AAHC9AABwPQAAqL0AAEw-AAAcPgAAHL4AABA9AABAPAAAED0AABA9AACYvQAA-D0AAHQ-AABAPAAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=SKFhXIv42N4","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5250162577678553908"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4061992361543070183":{"videoId":"4061992361543070183","docid":"34-7-9-Z103D47000E75DB51","description":"Art of Problem Solving's Richard Rusczyk explores the concept of graph reflections. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos and updates...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2339801/ff5cae28737d69c9d263c638404712e7/564x318_1"},"target":"_self","position":"12","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D6CPDOSWTFlU","linkTemplate":"/video/preview/4061992361543070183?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Reflecting Graphs of Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=6CPDOSWTFlU\",\"src\":\"serp\",\"rvb\":\"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-v38BQD7_gL_AwT-AQsA-_r3AAAA-PUB8gMD_wDzAAj8-wAAAP0L_AULAAAA8_oBBf0AAAANBvUDBAAAABz8AgMCAAAAEPb-Bv8BAAD_AAEC-wIAAQ0IAQUAAAAA-wEJAPv_AAD7AfwEAAAAAAv-_gEAAAAAIAAtU2bdOzgTQAlITlACKnMQABpg8xsALBQMCtH2INv63OEE8OX18PPe_gD4xAAC_i7OBvPX2iL1_y3V9xDFAAAADQj5-CEA80wW9c0WBRL73_INFw1_8BoX7xQT59oaIRkbFvTO3PsxALz89_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_AAD4QQAAwMAAAKDBAACIwQAAgEAAAPjBAABAwQAAcEIAABDCAACgwAAAIMIAACRCAADQQQAANMIAADDCAAAgQQAAcMEAAARCAAAAwQAAiEEAAIA_AABwwQAAcMEAACBCAABMQgAA8EEAAFBBAADgQCAAOBNACUh1UAEqjwIQABqAAgAATL4AAOA8AAC-PgAA2L0AAFw-AADmPgAAiL0AADO_AAD2vgAAqL0AAEA8AACIvQAAcD0AAOg9AAAMPgAAcD0AAGQ-AACAOwAAcD0AAAU_AAB_PwAAQLwAAGw-AADYvQAAmr4AAFS-AABsPgAAJD4AAES-AAAwPQAAXD4AAMI-AABMvgAAZD4AAJ4-AAAwvQAAgj4AAAy-AACivgAAdL4AAJK-AADYvQAA6D0AAJY-AABMvgAAsr4AADy-AACuvgAAqL0AABC9AAA0PgAAlr4AAAQ-AAC-PgAA2L0AABA9AAApPwAADD4AAIg9AAAcvgAAMD0AAKg9AABEPgAADD4gADgTQAlIfFABKo8CEAEagAIAAIi9AABMPgAAEL0AADG_AAAcvgAADL4AAJg9AAAUvgAAoDwAAFw-AADgvAAARL4AABA9AADOvgAAND4AAKi9AAAkPgAAET8AADA9AAC6PgAAXL4AALg9AABAvAAAMD0AAOC8AAAwvQAAiL0AADA9AADYvQAA6L0AAIA7AADYPQAAED0AALi9AADgPAAAoLwAABQ-AACSPgAAjr4AABA9AADovQAAND4AAGS-AACAOwAAQLwAABC9AAB_vwAAEL0AADS-AACAOwAAND4AABS-AAAMPgAAqD0AADC9AACgPAAAoDwAAHA9AABEvgAAqL0AADA9AABsPgAAJD4AAOC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=6CPDOSWTFlU","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4061992361543070183"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3704400053263994125":{"videoId":"3704400053263994125","docid":"34-4-13-ZADB32C02A0101E4C","description":"Art of Problem Solving's Richard Rusczyk discusses what it means to evaluate a function. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos and updates...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3824233/68675ec3500109d874d006e063e5dc92/564x318_1"},"target":"_self","position":"13","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DguchhSM_NIs","linkTemplate":"/video/preview/3704400053263994125?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Evaluating Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=guchhSM_NIs\",\"src\":\"serp\",\"rvb\":\"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_wUAAAD0BAf3BAEAARUF-Ab1AQEA8_0B9fUBAADsCQ4D_gAAAOwK9wcGAAAA8QD5CQEAAAAM_-z8AgAAABr29Qj9AAAACPj8Cv8BAADxB_oHAwAAAAz-_QEAAAAA-QUSBv4AAAABCPj5AQAAAAn1CAMAAAAAIAAtAAfVOzgTQAlITlACKnMQABpgEx0AQhH978bgJMvo5d4A9Lfn6PG6Av_4z__-FUmsBwixxhHm_1q3_gKlAAAACwARB0AA4nYp7NwHHDP-qO0yFih__f09_VMa_d8ROCs-9R2mxAJEALjx_gwWJ70xEBAWIAAtgosWOzgTQAlIb1ACKq8GEAwaoAYAALhBAABAQAAAqEIAAIjBAADwQQAACMIAAHRCAAAgwQAADMIAAAjCAAAAQQAAuEEAACDCAACAvwAAQEEAAMBAAACQQgAAEEEAAHBBAAD4wQAAkEEAAGDBAABQwgAACEIAAAzCAACQQQAAuMEAAKjBAACcQgAAQEEAAJhBAACYQgAAAAAAAIhCAAAswgAAIEIAAMDAAACAQgAAwEAAAADAAABgwQAA-EEAAJBCAACYwgAAmMEAAOhBAADgQAAAgD8AAJhBAAC4wQAAQEEAAHDBAABQwQAAFEIAAKhBAACkwgAAqEEAAMDAAAAIQgAAuEEAAOBBAAD4wQAAKMIAALzCAACQwQAAiMEAAJBBAACcwgAAYMIAAChCAACSQgAAIMEAAJDCAAAAQAAAoMEAAOTCAADSwgAAYMEAAAhCAACSwgAAAMEAAFBBAADwwQAA6MEAAEhCAAAoQgAAFMIAAEDBAAAwQQAAYEEAAPjBAACAQAAAgD8AACDBAAAoQgAAQMIAAIDBAAAwQQAAVEIAAMBAAACowQAAmEIAADRCAADAwQAAUMEAALBCAACAwAAAukIAAFDBAAB8QgAAkEIAAIhBAACAQAAAgMAAAPhBAABgQgAADEIAALjBAABcwgAAxMIAACRCAAAAwQAAQMEAAJ7CAAAsQgAAdMIAAAxCAADGwgAAuMEAANjBAADAwAAAgD8AAIA_AAAsQgAA-EEAAGjCAAAMQgAAmEEAAIDAAABIwgAAKEIAANhBAACAQAAAmMEAAHhCAAB4QgAAAEAAAGBBAABgwQAAIMIAADBCAACQwQAAUMEAAEjCAACgwAAAyMEAAIjCAABAwAAAVMIAADRCAAAMwgAAqEEAABBBAADgwAAAHEIAAHBBAADgQAAAOEIAACBCAACQwQAA4MEAAFjCAACgQAAAEMEAAEDAAAAAAAAAoEEAAFDCAACgQgAASEIAAATCAAAAAAAAWMIAANDBAABAQQAA2MEAAJhBAAAkQgAAcMIAAABBAAAoQgAAgEEAAIDAAABQwQAAfMIAAGBBAAAwwQAAHEIAAHBBAACwwSAAOBNACUh1UAEqjwIQABqAAgAAQLwAAOA8AACyPgAAiD0AAJI-AAABPwAAcD0AACm_AADWvgAA4DwAABC9AACevgAAcD0AAEA8AAAEPgAAcD0AACw-AADgPAAAuD0AAOY-AAB_PwAA4DwAAPg9AAD4vQAAdL4AALi9AAAsPgAADD4AAFy-AACIPQAAbD4AAJI-AAAkvgAALD4AABw-AABAvAAAPD4AAMi9AAC2vgAAJL4AALa-AACYvQAARD4AAIo-AAAkvgAAHL4AABy-AACSvgAAVL4AAKg9AADYPQAATL4AAJg9AAA0PgAARL4AAOA8AAAPPwAAQLwAAPg9AABAPAAA2D0AAJg9AAA8PgAAbD4gADgTQAlIfFABKo8CEAEagAIAAKA8AAAMPgAAUD0AACu_AAAUvgAA2L0AAIA7AADYvQAAQDwAAJo-AABAPAAAHL4AAJg9AACyvgAALD4AALi9AAAcPgAALT8AACw-AADCPgAAVL4AAJg9AAAQPQAAED0AAIi9AADgvAAAgLsAAIg9AADgvAAAoLwAAEC8AAC4PQAAED0AAIi9AACIPQAAoDwAADQ-AACSPgAAlr4AADA9AACIvQAARD4AAIK-AACgPAAAoLwAABA9AAB_vwAAoLwAAOi9AAAQvQAAmD0AADS-AACoPQAAmD0AAFA9AAAwPQAAcD0AAOC8AAA0vgAAML0AALg9AABMPgAAqD0AABC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=guchhSM_NIs","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3704400053263994125"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13871133970414372203":{"videoId":"13871133970414372203","docid":"34-10-15-ZF006F4F08312A7F7","description":"Art of Problem Solving's Richard Rusczyk explains graph translations. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos and updates...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2997939/8b57c8f26cc4f645e48bd473a7c36fd5/564x318_1"},"target":"_self","position":"14","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Ds9-kEZvFOQc","linkTemplate":"/video/preview/13871133970414372203?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Translating Graphs of Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=s9-kEZvFOQc\",\"src\":\"serp\",\"rvb\":\"EqkDChM0NDA4MTczNzA4ODg3NjYxMzkzChM0MTE4ODU0MDc1MzM3Njc5Mjc5ChMyMzE1MjQyMjM3NDMxODEwNjQwChMyNjM2MDg0ODg3NjM3MTAzOTM3ChQxNzU0OTU1MTc3NzkzMTI0OTkxMgoUMTc4OTM2NTI5MzU0NTg2MjI1NDIKEzU4ODE3MDE4MTY5NzMyNzQ0OTUKEzIyMTUyNTMzNDQzMjU1Mzk5NTMKEzE4OTAxNzUzNTg4Mzc5NjcyMDcKEzUyNTAxNjI1Nzc2Nzg1NTM5MDgKEzQwNjE5OTIzNjE1NDMwNzAxODMKEzM3MDQ0MDAwNTMyNjM5OTQxMjUKFDEzODcxMTMzOTcwNDE0MzcyMjAzChQxNTE5NjczOTY0NTgyMTIxNzQyNAoTNDYwMDQyNTU4NTU2NTcyOTA1MgoTNjA1MzU0NTg1OTY0NTMxMDE3MAoTOTU4MzAwMTE4MDk3NzU1MDk5MAoTMTA0NzY4NDM5NTYzNjIwODg4NwoTNDI2MDkwMTg4MjMxMjUzMjk5MAoUMTY0MDk4MDEyNDU1MjAwNzk2NzAaFgoUMTM4NzExMzM5NzA0MTQzNzIyMDNaFDEzODcxMTMzOTcwNDE0MzcyMjAzaq8NEgEwGAAiRRoxAAoqaGh4d2JvZXptZXVzbWdrYmhoVUNIWndNd2E5Nm81Z3dCbVZhSWpfelZBEgIAEioQwg8PGg8_E58DggQkAYAEKyqLARABGniB9wwH_P4DAPD_A_7_AgABBAAAAvj__gDr-PvzAv8BAPcBEwEBAAAA-gPyCAcAAADx_P0AAwAAAA0G9QMEAAAAHPwCAwIA_wAPAPsG_gEAAP3_AgYE_wAACA8CCwAAAAD1BwgD__8AAAUH_v4AAAAADP7-AQAAAAAgAC3EQtg7OBNACUhOUAIqcxAAGmDzHAAxCw36y_AP2P7V5gEA8QT1A9j_AO-9APQFMNMT9t7UFvL_Ltb_C8QAAAAHDfzuNwDuSynq1QkG_gT04yAeD38LKSAHIxPp5BAZHSEJBN_T9hwA3Pj--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-L0AAJo-AABwvQAATD4AABU_AACovQAAJb8AAO6-AABwvQAAFL4AAKA8AAC4PQAAoDwAAIg9AACoPQAAdD4AAOA8AABAvAAAIT8AAH8_AABAvAAA6D0AAOi9AACqvgAAhr4AAGw-AAAMPgAAmr4AAKA8AABMPgAApj4AAFy-AAA0PgAAjj4AAFC9AACGPgAAcL0AAJK-AAAUvgAAqr4AAPi9AAAcPgAArj4AAI6-AACivgAAnr4AAJK-AAAMvgAAQDwAAIg9AACCvgAABD4AALI-AABUvgAAoDwAAD8_AAA8PgAADD4AALi9AADgPAAA4DwAAPg9AACCPiAAOBNACUh8UAEqjwIQARqAAgAAEL0AAAQ-AABAvAAAO78AAFS-AADovQAAuD0AAJi9AABQvQAAhj4AAEC8AAAsvgAAUD0AALK-AAAMPgAAmL0AABw-AAATPwAAuD0AALo-AABMvgAABD4AAFC9AADgPAAAcL0AAIi9AAAQvQAAMD0AACS-AAAwvQAAQDwAAKg9AAC4PQAABL4AABA9AABQvQAAND4AAIo-AACWvgAAmD0AANi9AAAUPgAAfL4AADA9AACAOwAAUL0AAH-_AAAQvQAAJL4AAEA8AABsPgAA2L0AACQ-AABwPQAAgLsAAKA8AACgPAAAuD0AAPi9AADIvQAA-D0AAJ4-AAC4PQAAcL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=s9-kEZvFOQc","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13871133970414372203"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15196739645821217424":{"videoId":"15196739645821217424","docid":"34-9-6-Z57CA755D476A3FA1","description":"Art of Problem Solving's Richard Rusczyk demonstrates how to solve a word problem using techniques from quadratic optimization. This video is part of our AoPS Algebra curriculum. channel for...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4289882/f034099c24946ad23f866e16bf848b52/564x318_1"},"target":"_self","position":"15","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7MQpyBmXlPY","linkTemplate":"/video/preview/15196739645821217424?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: A Quadratic Optimization Word Problem","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7MQpyBmXlPY\",\"src\":\"serp\",\"rvb\":\"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_E5sCggQkAYAEKyqLARABGniB_AkA_fsFAPQEBQH6A_8BIAIGAvUEBADz-_38BwEAAP0BCgAJAQAA8AAADAcAAAAE-_wK__0BAAMDBAL8AAAAG_ACAfsAAAAJ-gID_wEAAPgB_AED_wAABPv-9_8AAAD3Awv8AQAAAAABAQMBAAAAAP_-_wAAAAAgAC2jC-E7OBNACUhOUAIqcxAAGmAGEwBNBuLi5ucn2sXVwCDx28vo5dQQ__ew__w7PtIh4sfA_fL_U9TsG54AAADyqt0bAQD2dQHB1SvvD9y_B_Y293_u_TnyNAQrzENZ9Sbh5-fUBj4AqvggGTxRuDsl8h0gAC0QsxI7OBNACUhvUAIqrwYQDBqgBgAAoMAAALjBAACKQgAAsMEAADBCAABQwQAAlEIAAIA_AAAEwgAA4EAAAABCAAAAQgAA6MEAAFBBAAAQQgAAAMEAANhBAAAEwgAAYEEAAJbCAADAwQAARMIAADzCAABsQgAAIMEAACBBAAB4wgAAfMIAAKBCAACGQgAAGEIAABBBAAA0wgAAWEIAAJrCAABgQQAA6EEAALZCAAAwwgAADEIAAIDAAAAAQAAAUEEAAHDCAABgQQAA-MEAAIDBAAAAQgAAfEIAAJDBAADYwQAAQMEAAGDBAADwQQAAoEEAAFDCAACIwgAAyEEAAOBAAADgwAAADEIAAHDCAADUwgAALMIAAIA_AABYwgAAuEEAAKDCAAAwwgAAcMEAAPBBAADQQQAAksIAAHhCAABwwQAAosIAAILCAACUwgAAAAAAAODBAACowQAAoEEAAADBAADgwQAAQEEAACBCAACiwgAAIMEAAIxCAADAwAAAAMEAAJBBAABAwAAAoEEAAEBAAACiwgAA2MEAAODBAAB4QgAAgD8AAIDCAABkQgAA8EEAAPDBAAAgwgAANEIAABBBAAAUQgAADMIAAIhCAAAoQgAAbEIAAKBBAAAAwgAA8EEAADhCAADAwQAA-MEAAEDCAACewgAAgEAAAKBAAAAAQAAAXMIAABBBAAAQQQAAoEAAAFjCAAAkwgAAoEAAAIA_AAAswgAAQMAAAJBCAABMQgAAWMIAAIhBAACYQQAAyMEAAKbCAAAAQgAAoMAAAJBBAABIwgAAAEEAAGBBAACAwQAABMIAAJjBAAAAwgAAMEEAALBBAAAEQgAAnMIAAIA_AAD4wQAAcMIAAADCAABUwgAAlEIAAGjCAAAEQgAAoEEAAADBAAAsQgAA2EEAANBBAAD4QQAAJEIAACTCAABQwQAAgMAAAAhCAABAQQAAAMAAAFBBAACwQQAAwEEAAABCAACqQgAAIMIAAITCAADAwAAAcEEAAARCAADowQAAOMIAAKBAAAAMwgAAqEEAAMDBAABwQQAABEIAAGDBAAAAAAAA6EEAAGBBAAAYQgAAqMEAALDBIAA4E0AJSHVQASqPAhAAGoACAACgvAAAcD0AAFw-AADoPQAAUD0AAPi9AAAcPgAAFb8AANq-AABQvQAAFD4AAEA8AAAQPQAAgLsAANg9AAC4vQAAyD0AALg9AAAsPgAA5j4AAH8_AAAwPQAAND4AAOC8AABsvgAAir4AANg9AAAwPQAADL4AAEA8AABcPgAAyD0AANi9AABEPgAARD4AAII-AAAUPgAAlr4AALq-AAAcvgAAzr4AAEC8AAAEPgAAPD4AABy-AACKvgAAMD0AALK-AACIvQAA4LwAAEC8AADgPAAAJD4AANg9AAA8vgAA4LwAABs_AACAuwAA-D0AAMq-AABAPAAABD4AABQ-AABAvCAAOBNACUh8UAEqjwIQARqAAgAAyD0AABQ-AABAvAAAK78AAIq-AAD4vQAA2L0AAMg9AABAPAAAoj4AADC9AADovQAAcL0AAKK-AAD4PQAAcL0AAOg9AAApPwAAJD4AAOI-AABcvgAAQLwAAIi9AACgPAAA2L0AAOA8AAAwPQAAoDwAAKi9AADgPAAAEL0AAEA8AAAUPgAAUD0AAFA9AACgPAAAoDwAAII-AACWvgAAyD0AAKi9AACGPgAANL4AAIi9AAC4vQAAgDsAAH-_AABwPQAA2L0AAHy-AAC4vQAA6L0AAMg9AADIPQAA6D0AADA9AABQPQAAgDsAADy-AABAvAAA4LwAANg9AADgPAAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=7MQpyBmXlPY","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15196739645821217424"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4600425585565729052":{"videoId":"4600425585565729052","docid":"34-2-8-ZC34E4DA0376FC1F5","description":"Art of Problem Solving's Richard Rusczyk gets us started with solving equations including radical expressions. This video is part of our AoPS Algebra curriculum. channel for more engaging math....","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2831900/ebb893eabad9ee6fcaff123e2705f8b1/564x318_1"},"target":"_self","position":"16","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-xGANPeP3iw","linkTemplate":"/video/preview/4600425585565729052?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Radical Equations","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-xGANPeP3iw\",\"src\":\"serp\",\"rvb\":\"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-gX-AQcDCQn4__8A-PUB8wMD_wD3ARIBAQAAAPEU_v8EAAAA8ffxB_sAAAAIBvv5BAAAABj39Qj9AAAAB_n8Cf8BAAD4AfwBA_8AAAP7_QMAAAAA-wQE_QAAAAD5D_0GAAAAAAr_Bf4AAAAAIAAtowvhOzgTQAlITlACKnMQABpgCBkANzMH_dTvKtDS_fAK5NPX8uSz_f_5owAQGja7FBuywv___za91hGmAAAAE9cABQ8A-W35_845MevS9fcPSw9_yi386zktLOYwSRIr5gjk1-wuAKkRBgdWKLAtGuUdIAAtNqoaOzgTQAlIb1ACKq8GEAwaoAYAABhCAAAwQQAAtEIAAAAAAAAcQgAAqEEAAGRCAAAAQAAAMMIAAPDBAADowQAAKEIAAGjCAACgQQAAKEIAAADAAABQQgAAAEEAACBCAAB0wgAAUEEAAEzCAACAwgAAMEIAAJDBAAAgQQAAGMIAAOBAAADgQQAAmEEAAEDAAABkQgAA-MEAADRCAACiwgAAmEEAAJBBAADAQgAAAMAAAMDAAADAwQAAwEEAACxCAABQwgAAwMEAAEBCAAAAAAAAsEEAAPBBAADYwQAAUMEAALDBAABAQAAAUEIAALjBAABIwgAAIMEAALBBAAAAwAAAEEIAAOBBAADgwQAAsMIAAGjCAADQwQAAmEEAAIC_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-AACYPQAAUL0AAD-_AADWvgAAQDwAANg9AABQvQAAyL0AAKg9AAA8PgAAUL0AAGQ-AAAUPgAAyD0AABM_AAB_PwAAgLsAAII-AABkvgAAfL4AAKq-AAAMPgAAMD0AABy-AABcPgAAoj4AAII-AAC4vQAAkj4AAPg9AACOPgAAQDwAABS-AAAHvwAAfL4AADS-AABwvQAALD4AAGQ-AADevgAAfL4AABS-AAAkvgAAuL0AAMg9AACYvQAAFL4AAIA7AACiPgAAXL4AAFA9AAAvPwAAML0AAHC9AADYvQAAoDwAAAw-AACaPgAAPD4gADgTQAlIfFABKo8CEAEagAIAAOC8AABMPgAAoDwAAEe_AAB0vgAAJL4AANg9AACYvQAAFD4AAFQ-AACYPQAAHL4AAKA8AACWvgAAND4AAKi9AAAQPQAAIT8AAAQ-AADyPgAAkr4AAOC8AABwvQAAcL0AAIi9AACIvQAA6D0AAHA9AACAOwAAML0AABC9AACIPQAA4DwAAAS-AAAQPQAAcL0AAKA8AAB0PgAAjr4AADQ-AAAMvgAA-D0AAFy-AAAwPQAAFL4AABC9AAB_vwAAUL0AAOi9AACAOwAA4LwAAMi9AACAOwAA4DwAACQ-AAAQPQAAQDwAAFA9AAAMvgAAmL0AAAQ-AADoPQAADD4AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=-xGANPeP3iw","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4600425585565729052"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6053545859645310170":{"videoId":"6053545859645310170","docid":"34-2-14-Z1C688F9E43B46114","description":"Art of Problem Solving's Richard Rusczyk demonstrates the relationship between graphs of functions and their inverses. This video is part of our AoPS Algebra curriculum. channel for more...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4303434/87a37ab47ce595bb17c47e9654ac866b/564x318_1"},"target":"_self","position":"17","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNk2p0-G0Thc","linkTemplate":"/video/preview/6053545859645310170?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Graphing Inverse Functions","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Nk2p0-G0Thc\",\"src\":\"serp\",\"rvb\":\"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_QDvDhD7BwL_ARYF-Ab0AQEA2vT39gf5AwDwAg_6BwAAAOsL9ggGAAAA-wP4-_3-AAANEO0AAwAAABf4-wD_AAAABfPtBAABAAD1__wNBP8AAA4JAQUAAAAA7BP_CP8A_wD_BfUDAAAAAAj3AP4AAAAAIAAtd_nJOzgTQAlITlACKnMQABpg_xwAKQkD_uH5E-Dx2-UMAvn0_vzUBQD6wgABFSPTG_zW1Rjx_zvZ8hHHAAAABv4M9iUA_kYX7_H6ChEA198HJBh_7x8e9xAg994cFx0jCgXY3godAMoD-Qgk_cYxDBgHIAAtrThiOzgTQAlIb1ACKq8GEAwaoAYAANBBAAD4wQAASEIAAJjBAACAvwAACMIAAK5CAACgQQAAyMEAAJDBAADAwAAAbEIAAFDBAABAwAAATEIAAABCAABAwQAA8MEAAEBBAACCwgAAuEEAAGDBAACYwQAAGEIAAMDAAACYQQAA6MEAAKDBAABkQgAAvEIAACDBAAAwQQAAGMIAAEBBAACgwgAAuEEAAEBAAACsQgAAoEEAAJTCAAAQwgAA0EEAAEBBAAAAwgAAEEEAAEDBAACgwAAAsEEAABRCAADgwAAAwMAAACBBAAAAwQAAkEEAAFBBAAD4wQAAIMIAAADBAAAYQgAA4EEAAMBBAACYwgAAvsIAANDCAABAwQAAhsIAANBBAACywgAASMIAAFDBAACIQgAAIEIAADTCAAAMQgAAQMIAAAjCAAAowgAA4EAAACBBAADAwAAAoEAAAAhCAADgwAAAfMIAAKJCAAAQwQAAyMEAAJjBAACQQgAAgD8AAFDCAAAQQQAARMIAACDBAACgQQAAvsIAABRCAADIwQAAJEIAAFxCAAB0wgAAAEAAAODAAADgQAAAyMEAAEhCAAAgwQAAJEIAACDCAACUQgAAgEAAACRCAAAIwgAAoMEAAPhBAAA8QgAAQEAAAAzCAACQwgAArMIAALBBAAAUwgAAmEEAAADBAACAQAAA6MEAAJhCAAC6wgAAkMEAAAAAAABAwgAARMIAAEDBAACgQQAAOEIAAOhBAADAQAAARMIAAMBAAACAwQAAQEAAAEDAAACwQQAAsMEAAABCAAAAQgAABMIAAGhCAAC4QQAAsMEAAIC_AAAwQQAAwMAAAITCAABgQQAA-MEAAMDCAABIwgAAoMEAAMRCAAAgQQAAJEIAAOBAAABgwQAA6EEAAKjBAADAwQAANEIAAPhBAACawgAAbMIAAJhBAADQQQAAwMEAAADAAADowQAA8EEAABjCAABAQAAAiEEAACzCAAAwwQAAWMIAAODBAACwQQAATMIAAILCAAAAAAAA4EAAABxCAACAwQAA0EEAACDBAACQQQAAgD8AALhBAAD4QQAAAEEAAGBBAABgQSAAOBNACUh1UAEqjwIQABqAAgAAZL4AAES-AACmPgAAJD4AABw-AAD-PgAAED0AAD-_AAAZvwAAoLwAAPg9AAAkvgAALD4AADQ-AAAMPgAAgLsAABQ-AAAQPQAA6D0AABM_AAB_PwAAqD0AAMg9AABwvQAAfL4AAPi9AACiPgAAZD4AAGS-AADIvQAAhj4AALo-AADGvgAARD4AANY-AAAcvgAARD4AAIA7AACSvgAA4LwAAMq-AABAvAAARD4AABw-AABEvgAA2L0AALi9AACevgAAED0AAJi9AAA0PgAAVL4AACw-AACOPgAABL4AAKC8AABTPwAAiD0AAFw-AAAcvgAA2D0AACw-AAD4PQAAgDsgADgTQAlIfFABKo8CEAEagAIAAFA9AABUPgAAgLsAABe_AABsvgAAHL4AAFA9AAAwvQAAQLwAAIo-AADgPAAAXL4AAOg9AADOvgAADD4AALi9AAAUPgAAIT8AAAw-AAC6PgAAJL4AAIg9AACAOwAAgLsAADC9AAC4vQAAoLwAAJg9AADIvQAAmL0AAKA8AACIPQAAQDwAADA9AAC4PQAAmL0AABQ-AACyPgAAor4AAMg9AADgPAAARD4AAGS-AACgvAAAML0AAOA8AAB_vwAAoLwAADy-AADIvQAABD4AALi9AAAEPgAAUD0AALg9AADgPAAAgDsAAJg9AAB8vgAAiL0AAEC8AAB0PgAAcD0AAIi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Nk2p0-G0Thc","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6053545859645310170"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9583001180977550990":{"videoId":"9583001180977550990","docid":"34-8-14-Z42F29D3C39FA9F39","description":"A series following the greatest problems we face, from prehistoric through modern times.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3215917/b7067c76320de7a8820388b258f70335/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/j6XQQwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9ugCbO8qkZM","linkTemplate":"/video/preview/9583001180977550990?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of the Problem.","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9ugCbO8qkZM\",\"src\":\"serp\",\"rvb\":\"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_EzSCBCQBgAQrKosBEAEaeIH8CQD9-wUA-QcLBvkG_QIAA__4-f7-APr-AfkEA_8A7QkCBfsAAAD6CvsDAgAAAPwCAwT2_gEACAb7-QQAAAAQ6vwG_wAAABzz_QX-AQAA-wYHBwP_AAAH__j-_wAAAO0CBgICAP8A_AP-9gEAAAD78_v5AAAAACAALaML4Ts4E0AJSE5QAiqEAhAAGvABXPoL_4Ht9_kmEt8B-voOAb8KFf8nEQoAA_D2AP_j9wFGH_YB7-8NAAL-5ADJ8BIA_AYP_0jyNALd8BL_JvbnAPT_CAD1FPwBBAICAfHkIwDRCwkB9xT7AgDkBwDm8wn_BgEL_jkqIAEQ5PsAA-juAQolBAID9_4E8d7uAx7-DgEOyPX_HBERAwwGCf3d8BcB_f3qBQEG_gbGMPIAC_cIBQoNAP4U6wQFHdke--r9Afvp-AH6DC_7AvsZAAEA_xYC9vkdAfwN8fj_KvIF9_T1DPEK8fvuDfQB3Pz4BgQI7_X6B_v--gny-gToEAcC3QUDIAAtP-FAOzgTQAlIYVACKs8HEAAawAf8NJa-0o-GvWl-Sz1iZ4o8sA0LPTGtUj2-aTq-I2EkvagavTxUGWs81YWuPeMNOr0fadC9YXegvRi7szzApLI9BNSKvJ-Scz0oYea9vk5JO1dPdzwXfgC-6mA4PfmutzyMIpW99rpAvRaXFL28XIy-oBQSPWOaCb33BdQ9C0HzvCSSDT12Ft09yaHPvB7ofDxTlww-Doa6vE97pTyitRI-vBq1vbN6Bz2dSNC99cQJvUu7xbtEbiY-Q7ljPTqcL7zAqIm9JFS6vP7Co7sguOq9PJfzO8SBK73ejtM6IsFUPWtMozy3r6g8Rp0UvXkIgLtIGyc-nInpPeaQ1Lqx4Um-LpL2PE8InTz9Kbo9TTBcvaLg2Dz18bU9DD3iPI1VEjxkPiC97qkBvSMKdzzCGsI8YaUCvrqV0rs8nRC9ZGyiPeHUh7suTDA9QvmxPcpV-bmCxMY9nMRAvSjrXDycBKU8XQB1PKMngLwnCr48KEbWvWQDqTzqgoC9VZyfvXM3gLrCZL89SIcMPecR6buEnp09Q_KEvZm3ajwT_LU9dJA8PQErj7ucogg8-oaIPXZlPLwZOAC-cPTnvCHcLryKopE9QTNjO11fFry4nay8tBwNvZdTJzwY-nE9k_7euyd7trvoBOE7LxZGvQLQDzzLrqU9BEgDPf5XhLs7iQy8BGkQvUEWnjtn1Ny9SkapPOK02LqTpfs86PhoPR7nEbtp-3y8g8anvPu47LoIzqS9GxGpO3zsETvyIpc6Pu0QPVhRZru-vSs9T-b_PdUbALq7J-89CFpKt93667indZs8vzpYvYUFRba2vJI9taPYPYgdgbnfqBU-Y-AvvdU0sDmGcde93Ej5vU7xyLiW4jQ984rMvHeDjrmo2vg8ke_SvXsFJDky4529GsCbPA_A9DgpfZy9VguRPezHjzgIdp27q0SkvRrMLblfZJ08BJgIPVCig7kCgwS95yW1vIAnrbVwzzM9CQlHvVv5lTfBGmc88vyzPNLXhDlxW3Y9ytxhves2BDf2RzM9pjRxPQrtsbgQma29eEBevSuds7gH8Vy7EAGMPYOdXbhNtDU9-0JDvRYVijiQ6pU9EYCJvCfwBjmKy1E9OCYwPK9PqTg9W6y8kSEMvXqsQDjxoJc7A8zhvP5c5jVndRu8hG3duniwrzeAkze9mMuMPVlqjzjD06s8-5zBvUM6sThYLTo9c33EPVwvtLjz_0u7_Bk9O-EVwzdVUfy99FcDvSxsBznMQvs9QPoGve_OcTjStYW9ssq2vQvfVrggADgTQAlIbVABKnMQABpgEwYATNMt2dkLYOvc08kCGJz6GPLp3P_p6f_j_AMGIvrM7yIVADL2_t2pAAAAAPUoGvoAAW_OuMYL9CbZ6c1bG_p_7uvx2lIeS-8S7tMD_Lsp5fdTAOvz3ShKGMj3FiQXIAAtycweOzgTQAlIb1ACKq8GEAwaoAYAAFDBAABAQAAAUMEAAGBBAAD4wQAAsEEAAJxCAABUwgAAWMIAAABBAAAYwgAACEIAACzCAAAgwQAAfEIAAAhCAAAQQgAAVMIAAAhCAAAUwgAAkEIAAPDBAAC4wQAAQEIAAMjBAABAwAAAbMIAAEDBAAD4QQAAkMEAADDBAAAgwQAAksIAALhBAADQQQAAYEEAAHDBAAAUQgAAwMAAAABBAABAwQAASMIAAEDBAAAgQQAAkMEAAABBAACoQQAAOEIAAKBAAACQwgAAUEEAAETCAAA4wgAAuMEAANDBAABAwAAAiEEAAMDBAACgwAAAkEEAAExCAADgwQAAQEEAAADAAABUQgAAoEEAAIjBAABcwgAAAMEAACBBAABcQgAA-EEAAEBBAACMQgAARMIAAOjBAACIwQAAbMIAADBCAABwwQAACEIAAEBAAAAAwAAA2MEAAHhCAAAIwgAAwMEAAFxCAACoQQAAbEIAAMDAAAAAwAAAmEEAAJrCAAB4wgAAkEEAAODAAACKQgAAoEEAAJBBAADYwQAAXEIAAPhBAADAwQAAqsIAAMBBAAAQwQAA4EIAAJjBAAAUQgAAwEEAAIA_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-AADIPQAAfD4AAAy-AADovQAAUD0AABG_AABwPQAA2L0AABQ-AAAsPgAAUL0AALg9AABwvQAABD4AAFA9AADgPAAAQDwAALI-AAB_PwAAQLwAABQ-AAAMPgAAdL4AAFC9AADgPAAAiL0AAIA7AAA0vgAAPD4AAOY-AAAcvgAAED0AAJg9AACAOwAA6D0AAIK-AADSvgAAMD0AAI6-AAB8vgAAED0AAMg9AAAEvgAAXL4AAEA8AACAuwAAuL0AAPg9AAD4PQAAfL4AAOC8AAAEPgAANL4AAMg9AABFPwAAML0AAFC9AACgvAAARD4AABQ-AAD4PQAAgDsgADgTQAlIfFABKo8CEAEagAIAALg9AABEvgAAmL0AADO_AAAwvQAAoLwAADS-AAAQvQAAuL0AAKI-AAA0vgAAML0AABQ-AACCvgAA4DwAADC9AABcPgAAPz8AACw-AADWPgAAbL4AAFQ-AADgPAAARD4AAMi9AACgvAAAlj4AAIg9AACoPQAAiD0AAHA9AAAQvQAAhj4AABA9AAAEvgAAUD0AAHA9AAAcPgAAdL4AAIg9AAAQPQAAVD4AACS-AABQvQAABL4AAIC7AAB_vwAAoDwAAPi9AACgvAAAyL0AACS-AADIPQAAiD0AABC9AACoPQAAcD0AAEQ-AACovQAAmL0AAKA8AAAcPgAADL4AAKi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=9ugCbO8qkZM","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":480,"cratio":1.33333,"dups":["9583001180977550990"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1047684395636208887":{"videoId":"1047684395636208887","docid":"34-1-5-Z8EE969133743142D","description":"Art of Problem Solving's Richard Rusczyk gets us started with quadratic optimization. This video is part of our AoPS Algebra curriculum. channel for more engaging math videos and updates...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2803666/59bea43750ab085bb8ec975a2b5cd8ae/564x318_1"},"target":"_self","position":"19","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWMiT_oywves","linkTemplate":"/video/preview/1047684395636208887?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Art of Problem Solving: Quadratic Optimization Part 1","related_orig_text":"Art of the Problem","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Art of the Problem\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WMiT_oywves\",\"src\":\"serp\",\"rvb\":\"EqkDChM0NDA4MTczNzA4ODg3NjYxMzkzChM0MTE4ODU0MDc1MzM3Njc5Mjc5ChMyMzE1MjQyMjM3NDMxODEwNjQwChMyNjM2MDg0ODg3NjM3MTAzOTM3ChQxNzU0OTU1MTc3NzkzMTI0OTkxMgoUMTc4OTM2NTI5MzU0NTg2MjI1NDIKEzU4ODE3MDE4MTY5NzMyNzQ0OTUKEzIyMTUyNTMzNDQzMjU1Mzk5NTMKEzE4OTAxNzUzNTg4Mzc5NjcyMDcKEzUyNTAxNjI1Nzc2Nzg1NTM5MDgKEzQwNjE5OTIzNjE1NDMwNzAxODMKEzM3MDQ0MDAwNTMyNjM5OTQxMjUKFDEzODcxMTMzOTcwNDE0MzcyMjAzChQxNTE5NjczOTY0NTgyMTIxNzQyNAoTNDYwMDQyNTU4NTU2NTcyOTA1MgoTNjA1MzU0NTg1OTY0NTMxMDE3MAoTOTU4MzAwMTE4MDk3NzU1MDk5MAoTMTA0NzY4NDM5NTYzNjIwODg4NwoTNDI2MDkwMTg4MjMxMjUzMjk5MAoUMTY0MDk4MDEyNDU1MjAwNzk2NzAaFQoTMTA0NzY4NDM5NTYzNjIwODg4N1oTMTA0NzY4NDM5NTYzNjIwODg4N2qvDRIBMBgAIkUaMQAKKmhoeHdib2V6bWV1c21na2JoaFVDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQRICABIqEMIPDxoPPxOXA4IEJAGABCsqiwEQARp4gfMN-v38BQDwCAL8-wEAARwA_P70AwMA-v4B-QQD_wD2BgYBAQAAAPoH-hACAAAABPv8C__9AQAQ9wn79AAAABvwAgH7AAAACv0EC_8BAAD2_wD9-QEAAAUD-vf_AAAA9wML_AEAAAD7AfwEAAAAAPv6AQMAAAAAIAAtU2bdOzgTQAlITlACKnMQABpg-RYALR_96NH0K9zY5Ngk3Ovb3OO1BP_2vf8FIUK6G__QshPo_0W93hCjAAAABcHr-Q4A-3Px5ucsBxH_wuwGPAl_5AoVEw8PDc1DX_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-AAAwPQAA2D0AAA2_AAAZvwAAQLwAAEA8AADovQAAoLwAAIC7AAAQPQAAQLwAAJ4-AABwPQAAJD4AAAE_AAB_PwAAiD0AAOg9AAAcvgAAZL4AAIK-AAB0PgAADD4AAHy-AADgvAAAij4AAEQ-AABEvgAAgj4AAPg9AAD4PQAA-D0AADy-AADKvgAAkr4AAOK-AAAQvQAAHD4AAFQ-AABsvgAAir4AAIi9AACSvgAAML0AABA9AADgPAAAHL4AAHQ-AAAsPgAAbL4AADC9AAA_PwAAQLwAACw-AAC-vgAAEL0AAII-AAAMPgAAuL0gADgTQAlIfFABKo8CEAEagAIAAKC8AABMPgAAgLsAACu_AAAsvgAAML0AANi9AABQPQAAEL0AAJo-AADgvAAAPL4AAOC8AACWvgAADD4AANi9AADYPQAAMz8AAOg9AADSPgAAJL4AAIA7AAAwPQAAEL0AAJi9AABQvQAA4DwAAFA9AACgvAAA4DwAAEA8AACAuwAAmD0AAKA8AAD4PQAAmL0AAKA8AABsPgAAkr4AABQ-AACYvQAAPD4AAPi9AACgvAAAJL4AAIg9AAB_vwAAcD0AAAy-AABQvQAAUL0AABS-AAC4PQAAJD4AACw-AACAOwAAcD0AAJg9AAA0vgAAML0AAKC8AAA0PgAAHD4AAKC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=WMiT_oywves","parent-reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1047684395636208887"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"4408173708887661393":{"videoId":"4408173708887661393","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Introduction to Operations","cleanTitle":"Art of Problem Solving: Introduction to Operations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=YrZlulMfQVE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/YrZlulMfQVE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":225,"text":"3:45","a11yText":"Süre 3 dakika 45 saniye","shortText":"3 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/YrZlulMfQVE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=YrZlulMfQVE","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":225},"parentClipId":"4408173708887661393","href":"/preview/4408173708887661393?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/4408173708887661393?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4118854075337679279":{"videoId":"4118854075337679279","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Introduction to Functions","cleanTitle":"Art of Problem Solving: Introduction to Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ivWhbG_3A_4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ivWhbG_3A_4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":466,"text":"7:46","a11yText":"Süre 7 dakika 46 saniye","shortText":"7 dk."},"views":{"text":"2,5bin","a11yText":"2,5 bin izleme"},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ivWhbG_3A_4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ivWhbG_3A_4","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":466},"parentClipId":"4118854075337679279","href":"/preview/4118854075337679279?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/4118854075337679279?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2315242237431810640":{"videoId":"2315242237431810640","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Introduction to Inverse Functions","cleanTitle":"Art of Problem Solving: Introduction to Inverse Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7o1nQ7O8-tc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7o1nQ7O8-tc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":418,"text":"6:58","a11yText":"Süre 6 dakika 58 saniye","shortText":"6 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7o1nQ7O8-tc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7o1nQ7O8-tc","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":418},"parentClipId":"2315242237431810640","href":"/preview/2315242237431810640?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/2315242237431810640?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2636084887637103937":{"videoId":"2636084887637103937","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Defining Piecewise Functions","cleanTitle":"Art of Problem Solving: Defining Piecewise Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LkDloPAiy_E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LkDloPAiy_E?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":224,"text":"3:44","a11yText":"Süre 3 dakika 44 saniye","shortText":"3 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LkDloPAiy_E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LkDloPAiy_E","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":224},"parentClipId":"2636084887637103937","href":"/preview/2636084887637103937?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/2636084887637103937?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17549551777931249912":{"videoId":"17549551777931249912","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Special Arithmetic Series","cleanTitle":"Art of Problem Solving: Special Arithmetic Series","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uHewD8NdGcY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uHewD8NdGcY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":286,"text":"4:46","a11yText":"Süre 4 dakika 46 saniye","shortText":"4 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uHewD8NdGcY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uHewD8NdGcY","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":286},"parentClipId":"17549551777931249912","href":"/preview/17549551777931249912?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/17549551777931249912?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17893652935458622542":{"videoId":"17893652935458622542","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Reading Graphs of Functions","cleanTitle":"Art of Problem Solving: Reading Graphs of Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iTnTJEC3UVI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iTnTJEC3UVI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":231,"text":"3:51","a11yText":"Süre 3 dakika 51 saniye","shortText":"3 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iTnTJEC3UVI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iTnTJEC3UVI","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":231},"parentClipId":"17893652935458622542","href":"/preview/17893652935458622542?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/17893652935458622542?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5881701816973274495":{"videoId":"5881701816973274495","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: What is Function Composition?","cleanTitle":"Art of Problem Solving: What is Function Composition?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Eetd6VCKrss","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Eetd6VCKrss?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":282,"text":"4:42","a11yText":"Süre 4 dakika 42 saniye","shortText":"4 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Eetd6VCKrss?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Eetd6VCKrss","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":282},"parentClipId":"5881701816973274495","href":"/preview/5881701816973274495?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/5881701816973274495?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2215253344325539953":{"videoId":"2215253344325539953","title":"The \u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving","cleanTitle":"The Art of Problem Solving","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JHHGMxpq1po","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JHHGMxpq1po?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZnFZZXFTUGVrV0U2dFFFWkhUbngxdw==","name":"Om Swami","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Om+Swami","origUrl":"http://www.youtube.com/@omswamitv","a11yText":"Om Swami. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":585,"text":"9:45","a11yText":"Süre 9 dakika 45 saniye","shortText":"9 dk."},"views":{"text":"21,3bin","a11yText":"21,3 bin izleme"},"date":"10 nis 2020","modifyTime":1586476800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JHHGMxpq1po?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JHHGMxpq1po","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":585},"parentClipId":"2215253344325539953","href":"/preview/2215253344325539953?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/2215253344325539953?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1890175358837967207":{"videoId":"1890175358837967207","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: The Trivial Inequality","cleanTitle":"Art of Problem Solving: The Trivial Inequality","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FQhK4DmDsn0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FQhK4DmDsn0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":395,"text":"6:35","a11yText":"Süre 6 dakika 35 saniye","shortText":"6 dk."},"views":{"text":"1,4bin","a11yText":"1,4 bin izleme"},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FQhK4DmDsn0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FQhK4DmDsn0","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":395},"parentClipId":"1890175358837967207","href":"/preview/1890175358837967207?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/1890175358837967207?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5250162577678553908":{"videoId":"5250162577678553908","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: The Discriminant","cleanTitle":"Art of Problem Solving: The Discriminant","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=SKFhXIv42N4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/SKFhXIv42N4?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":389,"text":"6:29","a11yText":"Süre 6 dakika 29 saniye","shortText":"6 dk."},"views":{"text":"12,9bin","a11yText":"12,9 bin izleme"},"date":"8 haz 2012","modifyTime":1339113600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/SKFhXIv42N4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=SKFhXIv42N4","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":389},"parentClipId":"5250162577678553908","href":"/preview/5250162577678553908?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/5250162577678553908?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4061992361543070183":{"videoId":"4061992361543070183","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Reflecting Graphs of Functions","cleanTitle":"Art of Problem Solving: Reflecting Graphs of Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=6CPDOSWTFlU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/6CPDOSWTFlU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":395,"text":"6:35","a11yText":"Süre 6 dakika 35 saniye","shortText":"6 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/6CPDOSWTFlU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=6CPDOSWTFlU","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":395},"parentClipId":"4061992361543070183","href":"/preview/4061992361543070183?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/4061992361543070183?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3704400053263994125":{"videoId":"3704400053263994125","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Evaluating Functions","cleanTitle":"Art of Problem Solving: Evaluating Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=guchhSM_NIs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/guchhSM_NIs?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":440,"text":"7:20","a11yText":"Süre 7 dakika 20 saniye","shortText":"7 dk."},"views":{"text":"1,7bin","a11yText":"1,7 bin izleme"},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/guchhSM_NIs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=guchhSM_NIs","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":440},"parentClipId":"3704400053263994125","href":"/preview/3704400053263994125?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/3704400053263994125?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13871133970414372203":{"videoId":"13871133970414372203","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Translating Graphs of Functions","cleanTitle":"Art of Problem Solving: Translating Graphs of Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=s9-kEZvFOQc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/s9-kEZvFOQc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":415,"text":"6:55","a11yText":"Süre 6 dakika 55 saniye","shortText":"6 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/s9-kEZvFOQc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=s9-kEZvFOQc","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":415},"parentClipId":"13871133970414372203","href":"/preview/13871133970414372203?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/13871133970414372203?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15196739645821217424":{"videoId":"15196739645821217424","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: A Quadratic Optimization Word \u0007[Problem\u0007]","cleanTitle":"Art of Problem Solving: A Quadratic Optimization Word Problem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7MQpyBmXlPY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7MQpyBmXlPY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":283,"text":"4:43","a11yText":"Süre 4 dakika 43 saniye","shortText":"4 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7MQpyBmXlPY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7MQpyBmXlPY","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":283},"parentClipId":"15196739645821217424","href":"/preview/15196739645821217424?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/15196739645821217424?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4600425585565729052":{"videoId":"4600425585565729052","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Radical Equations","cleanTitle":"Art of Problem Solving: Radical Equations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-xGANPeP3iw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-xGANPeP3iw?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":235,"text":"3:55","a11yText":"Süre 3 dakika 55 saniye","shortText":"3 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-xGANPeP3iw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-xGANPeP3iw","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":235},"parentClipId":"4600425585565729052","href":"/preview/4600425585565729052?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/4600425585565729052?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6053545859645310170":{"videoId":"6053545859645310170","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Graphing Inverse Functions","cleanTitle":"Art of Problem Solving: Graphing Inverse Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Nk2p0-G0Thc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Nk2p0-G0Thc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":261,"text":"4:21","a11yText":"Süre 4 dakika 21 saniye","shortText":"4 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Nk2p0-G0Thc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Nk2p0-G0Thc","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":261},"parentClipId":"6053545859645310170","href":"/preview/6053545859645310170?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/6053545859645310170?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9583001180977550990":{"videoId":"9583001180977550990","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[the\u0007] \u0007[Problem\u0007].","cleanTitle":"Art of the Problem.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9ugCbO8qkZM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9ugCbO8qkZM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDb3R3anlKbmItNEtXN2Jtc09vTGZrZw==","name":"Art of the Problem","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Art+of+the+Problem","origUrl":"http://gdata.youtube.com/feeds/api/users/ArtOfTheProblem","a11yText":"Art of the Problem. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":52,"text":"00:52","a11yText":"Süre 52 saniye","shortText":""},"views":{"text":"39,9bin","a11yText":"39,9 bin izleme"},"date":"23 eki 2011","modifyTime":1319328000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9ugCbO8qkZM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9ugCbO8qkZM","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":52},"parentClipId":"9583001180977550990","href":"/preview/9583001180977550990?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/9583001180977550990?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1047684395636208887":{"videoId":"1047684395636208887","title":"\u0007[Art\u0007] \u0007[of\u0007] \u0007[Problem\u0007] Solving: Quadratic Optimization Part 1","cleanTitle":"Art of Problem Solving: Quadratic Optimization Part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WMiT_oywves","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WMiT_oywves?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSFp3TXdhOTZvNWd3Qm1WYUlqX3pWQQ==","name":"Art of Problem Solving","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Art+of+Problem+Solving","origUrl":"http://www.youtube.com/@ArtofProblemSolving","a11yText":"Art of Problem Solving. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":407,"text":"6:47","a11yText":"Süre 6 dakika 47 saniye","shortText":"6 dk."},"date":"9 oca 2025","modifyTime":1736380800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WMiT_oywves?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WMiT_oywves","reqid":"1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL","duration":407},"parentClipId":"1047684395636208887","href":"/preview/1047684395636208887?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","rawHref":"/video/preview/1047684395636208887?parent-reqid=1765287245831159-8638953782214549272-balancer-l7leveler-kubr-yp-vla-266-BAL&text=Art+of+the+Problem","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"6389537822145492727266","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Art of the Problem","queryUriEscaped":"Art%20of%20the%20Problem","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}