{"pages":{"search":{"query":"learnifyable","originalQuery":"learnifyable","serpid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","parentReqid":"","serpItems":[{"id":"7420466024811594485-0-0","type":"videoSnippet","props":{"videoId":"7420466024811594485"},"curPage":0},{"id":"3857651958411209056-0-1","type":"videoSnippet","props":{"videoId":"3857651958411209056"},"curPage":0},{"id":"15472314116405589868-0-2","type":"videoSnippet","props":{"videoId":"15472314116405589868"},"curPage":0},{"id":"9543538916776076722-0-3","type":"videoSnippet","props":{"videoId":"9543538916776076722"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dGxlYXJuaWZ5YWJsZQo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","ui":"desktop","yuid":"9018511381773742629"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"7011044138322999796-0-5","type":"videoSnippet","props":{"videoId":"7011044138322999796"},"curPage":0},{"id":"5142256226846372584-0-6","type":"videoSnippet","props":{"videoId":"5142256226846372584"},"curPage":0},{"id":"14841494246850838930-0-7","type":"videoSnippet","props":{"videoId":"14841494246850838930"},"curPage":0},{"id":"15212499826442881285-0-8","type":"videoSnippet","props":{"videoId":"15212499826442881285"},"curPage":0},{"id":"11069264787285687794-0-9","type":"videoSnippet","props":{"videoId":"11069264787285687794"},"curPage":0},{"id":"3716852748664010118-0-10","type":"videoSnippet","props":{"videoId":"3716852748664010118"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dGxlYXJuaWZ5YWJsZQo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","ui":"desktop","yuid":"9018511381773742629"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"8618923188949492414-0-12","type":"videoSnippet","props":{"videoId":"8618923188949492414"},"curPage":0},{"id":"8877203331032782455-0-13","type":"videoSnippet","props":{"videoId":"8877203331032782455"},"curPage":0},{"id":"17317205462612845931-0-14","type":"videoSnippet","props":{"videoId":"17317205462612845931"},"curPage":0},{"id":"5021940908735289209-0-15","type":"videoSnippet","props":{"videoId":"5021940908735289209"},"curPage":0},{"id":"1353454338060423954-0-16","type":"videoSnippet","props":{"videoId":"1353454338060423954"},"curPage":0},{"id":"17547225786261640043-0-17","type":"videoSnippet","props":{"videoId":"17547225786261640043"},"curPage":0},{"id":"9333862855984325589-0-18","type":"videoSnippet","props":{"videoId":"9333862855984325589"},"curPage":0},{"id":"667339654612570579-0-19","type":"videoSnippet","props":{"videoId":"667339654612570579"},"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,"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":"dGxlYXJuaWZ5YWJsZQo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","ui":"desktop","yuid":"9018511381773742629"}}},"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%3Dlearnifyable","pages":[{"reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"2498499479799761017103","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":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_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"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_search_page_no_islands":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,"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,"bg-bert-video":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,"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,"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":0,"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":["1501020,0,26;1502249,0,89;151171,0,28;1281084,0,38;287509,0,26;1447467,0,76;1482982,0,19;1492865,0,11"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3Dlearnifyable","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=learnifyable","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":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=learnifyable","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"learnifyable: Yandex'te 582 video bulundu","description":"Результаты поиска по запросу \"learnifyable\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"learnifyable — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y95e62563002dd207e5562ed5904cf1c4","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1501020,1502249,151171,1281084,287509,1447467,1482982,1492865","queryText":"learnifyable","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9018511381773742629","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1509771,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1773742647","tz":"America/Louisville","to_iso":"2026-03-17T06:17:27-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-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":"1501020,1502249,151171,1281084,287509,1447467,1482982,1492865","queryText":"learnifyable","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9018511381773742629","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":"2498499479799761017103","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":156,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"9018511381773742629","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1786.0__2b2d60e228e425e58bdada7520f0461169e746e7","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":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"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","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"7420466024811594485":{"videoId":"7420466024811594485","docid":"34-2-17-ZD273AD6467C5B34B","description":"An introduction to the connective known as a conditional. Image of a puppy from Wikipedia Commons. Author: ManuelFD.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1735247/e62ebdeeab60a6c401a42cfd51a973cb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BWEkGwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFSgrQHhl8ww","linkTemplate":"/video/preview/7420466024811594485?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Geometry) Conditionals","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FSgrQHhl8ww\",\"src\":\"serp\",\"rvb\":\"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_E-0CggQkAYAEKyqLARABGniBAQP9AvsFAO0NAPsFAAAABwAA8Pj__wDjDfYEAvwCAAbzCgYEAAAAAgf_Af0AAAAFB_n7-f4BAAYX_gAEAAAAEgAEBP0AAAAMBv_6_gEAAPX7_vwDAAAAA_QA__8AAAD-__37AgAAAP0MAPoAAAAAFvoO_wABAAAgAC13W-M7OBNACUhOUAIqhAIQABrwAX8G-_7n4uAC0QXBAKccAQC3Jjr_LjDzAKEWFwHU_AYBBSXbAPbro__5sgL9svECACnp0_8SvPX_JxX7_yYWBQD-2y0BC-gMAQHVBQElAOH-H_IDABcJMgD11cv-IzPf_icfIwDCEfwB1w3PAQvPRwMPCTIE7fYPA9XS9gLXIxj_HevY_QwqBQMIvPQBBA05_vLWGf_78-4DztoA_iAQzQMf3__82PXJ_xLZ6Q7R3hf1FNAPCOUI5f4DCh8DyyP3CAcRHPjq3u_39xMs-lLv_vus-_34J7D6CwoJAxAAxPcC7uwJ7t4XC_LgHhEJ_A4FAyAALSyqAjs4E0AJSGFQAipzEAAaYDHtABIDJcsSAQzqz93eOevWIN0fvuT__fsAAzLdERTq8PjxJgA22R_3rwAAADz_CDXfAPVh_OgjIyXq85zA3OoUfwQL8w22JwzT5QZSKOHmIiUUTwAc6bkPGxPe_ComGSAALS75Kzs4E0AJSG9QAiqvBhAMGqAGAACAwAAAYEEAAFBCAAAswgAA8kIAAHhCAACUQgAAWMIAAKDAAACAQAAAQMAAAFDCAACwwQAAWMIAAAhCAACAvwAAMMEAAMBAAADgwQAAGMIAAIDAAAAAwgAAuMEAANhBAAA4wgAAUMIAAIzCAADowgAAdEIAAOBAAABQwQAA2EEAAHDCAADAwAAAZMIAAIA_AAAAQgAA_EIAABDCAABoQgAAYMEAAJBBAABwQQAAMMEAAIRCAAA4wgAAOMIAAGxCAAAAQgAAoMAAAGTCAADwwQAAgL8AACDBAAAsQgAAgEEAANDCAABgQQAAoEEAAADAAADoQQAAjsIAADTCAACEwgAAwEAAAJrCAADAwQAAZMIAABTCAAAMwgAAREIAAGBCAAA4wgAAUEEAAPjBAACqwgAAUMEAAPjBAACAvwAAwEEAAAjCAAB8QgAA0MEAADhCAAC4wQAA0EEAAABBAAAAQQAAcEIAAIhBAAAcQgAAmEIAAJDBAAAowgAAwMEAAMDAAAAAwAAAgMEAAFxCAACAwAAAtsIAAPBBAABYQgAAIMIAAGBBAAAIwgAACMIAAMhBAAAEwgAASEIAAARCAABgQQAA4MAAAKDAAACgwQAAyEEAAMBAAAA0wgAA-MEAAKDBAACwQQAAiMEAAFTCAAAwwQAAIEEAABBBAAC4QQAAcEEAABBCAAAAQQAA8MEAAHjCAACwwQAAYEEAAGDCAADAwAAAkEEAAADAAAAIwgAAFMIAAODAAAAUQgAAmkIAAEDCAABMQgAA6EEAABzCAADwwQAA8EEAAADCAAAEwgAAIEIAAExCAABAwQAAgEAAAPjBAAAMwgAAAMAAALDCAABQwQAAGMIAAIBAAABAwQAAMEEAAEDAAABAwQAAoEEAAKhCAAAkQgAAgD8AACBBAAAQQQAAYMEAAPjBAAD4wQAAEMEAANhBAAAAwgAAAEIAAIA_AABMwgAApMIAAEBAAACoQQAAcEIAALDBAACYwQAAiMEAAOhBAAAAQQAA4EEAAFDCAABQQgAAkMEAAJBBAACwQQAAMMIAADDBAACAvwAA4MAgADgTQAlIdVABKo8CEAAagAIAAIi9AABEvgAAgLsAAAw-AABAvAAAmD0AABQ-AAAlvwAAhr4AACw-AACYPQAAiL0AAEw-AAA0PgAAEL0AAPg9AADgvAAABD4AANi9AAApPwAAfz8AABy-AAAwPQAAqL0AADA9AAB8PgAAFL4AADy-AAC6PgAAfD4AAHw-AAAcvgAAdL4AAKC8AADIPQAAMD0AAJi9AACuvgAA1r4AAPi9AADYvQAAPL4AANY-AACIvQAAbL4AAKC8AAAMvgAA-L0AADA9AAAQvQAAor4AADS-AACSPgAArj4AADC9AAAsPgAAUz8AAIa-AABsPgAArj4AAKg9AAAwPQAAXD4AAFC9IAA4E0AJSHxQASqPAhABGoACAABQvQAAED0AAJi9AABLvwAAML0AAES-AACiPgAARL4AANg9AACWPgAATD4AACS-AAAEPgAATL4AADC9AABwvQAAoDwAABU_AADoPQAAij4AAOA8AABAPAAA-D0AAEA8AACAOwAABD4AAFC9AADoPQAAgDsAACQ-AABwPQAAyD0AAHC9AABQvQAA2L0AACy-AABsPgAABD4AADS-AAA0PgAA0j4AAHC9AAC4vQAADD4AAEA8AABQPQAAf78AAJg9AABwvQAABD4AADw-AACIvQAABD4AAPi9AADIPQAA6D0AAFC9AAC4vQAAoLwAAHy-AAAcPgAA4DwAAKK-AABAPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=FSgrQHhl8ww","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7420466024811594485"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2876156573"},"3857651958411209056":{"videoId":"3857651958411209056","docid":"34-2-4-Z101C683FA2EB4AD1","description":"Algebra (Field Of Study)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3756991/2a66371d664ac2d3149ede1e8c576acf/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/8uqtDwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuQ6KSt94jVY","linkTemplate":"/video/preview/3857651958411209056?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Euclid's Lemma","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uQ6KSt94jVY\",\"src\":\"serp\",\"rvb\":\"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_E_YFggQkAYAEKyqLARABGniBAvUACP0DAPkKAA75B_0C9vn7_Pr-_QD2B_z__wL_APMAAAb-AAAAAvT79P8AAAD4Bfr-9P8BAA79_gMEAAAAFfkADPkAAAAOAPsG_gEAAP789_76AQAADAEKBQAAAAD0Cfr_AgAAAPoBBQAAAAAA_fUA-_z1_gAgAC0d4947OBNACUhOUAIqhAIQABrwAX_7EwHHKPb_7gbYAMMpCQCMCSn_HCXiAKrp_gC798oAEDsEAe_d0__9DhEA3foMAD32zP_s4vsAMe8A_yf1GQDzHQUBI9sKACz8FwHwAvP_8B0dABj3DwD03LcA7xj7_RsUA_3G6-z_HBXNAQnWPAMMCCoDFvUgAvHpDAHuEgEF5fba_SYIDQXy8Qf32RkfAu7i9wb6KAn7wwD1__gL4v0B8A0CAA72BSnwBQf57g8F5-r9_NQD5QQEByr_6hf19R75_wrZ5gD4_fIR-Dnl7_7g9gr3-9YDBR4T6f_22gD81PcF_tIAAfzWC_0S-_j58CAALVwwGzs4E0AJSGFQAirPBxAAGsAHuqP3vjGDpzwifF48HMg_vQnqjDuczC69nrVbvQ9faz1H-v48zNJOPejoJzyT5X-8n-SWvhvYaj1KDU29xVWFPlQwb72bfyq8ehcvvgg8MD0pn9S8FTdOvq006bxlOk-8xo0WPcLwtjvkG-U8q02iPVTcHb0JdhK9XRe-vV2WpbySzVW9mK1rvRflQ728SQK91-rBPTfwlL0J6R887a-IPYPuHL0u2mu7zvYNPXOL1Lzf0bG71jEzvY1S-Dw0P8i8HejBPYb8frnqSY88--TNPPZGDT00xfM6wIkyvL0IiTzBcA28ERZbu1dcfD3jJCO9XU4uPTED-rytd6w7bOnRvalWpT1tGtu83bQZPj0W0TwDYPq7Jgx0vV1Guz1MLLo8KnCSPWVxf7wb9la8z3yjPbgyUj2n0FQ8a3Otu1zjOD0DnSS8BSotPEZBED3d81c8UFObPbaeBLyGrkS84WKgO2yVvzsYJL87jZuavXOVOD3s-4u80ZPSPX1F8bvoyau8Y9S1PE6iOT3sPVm5JF6eu2L46L1TGGc7zvIGvZA4ir2cy0O8J7ZnPYjO27tKiKi8YHKoPUc-Djygfwq7fehCvfA7HL39jfc5Y3XAPX1RDL1aZyI6UxGNvfdkVbsQlJk6ZCe0OydTIju-gW68fTuuu7Wlzj0-auG67AgxvdQMqbwdH0q72lfePSfrwbza9Wy5KgExPRWt3Dw1tD87VPqePZroOL14Wk84jUEKPEB1ILxEaCk7LolYvd3pM730jaa6eW0gPWGPtL1b0Jc5YxvCPXrQgTs4aiu5_uuRvWeHUz2cSPG4rFOlPB5Yabx_dqE5XFQLvZwV8b3cnnU5XskEve0J9bux_VG6FK0BPQTAnTwq8KO477kdvdhXqLxvOiG6uIi5PGUBnj3kAKi4j6CCPeiKMrpCviI4xdRMPI-tQrzjHwi67Ak8vXIl8bzWYoA54xaYvNeufz3XUzg466RjPKKMor2_UmQ5YkOcPMMdiT1YsKE56w8evPpj9TwOMja3kz9zPUO4uDo0EAe4w9PrPGcm-L0iJCS4Cw20PY7mCDxBr182yuEDvhDXHjyX_U43_PGsO7UKEbyjdpq47BiyPHn8KLymXey3PVusvJEhDL16rEA4weMrPtylaLwHiXS5iBc_vXKTx7x3zya4cjQJO3COtL040o22lLSsvGytND0EGPO15NWevHqJ8b1lVTC4yvRwPSLhKz7xy4o4uhOsvHLcuT10MBi5squPvXy6-jxzlDQ3X9LYvEmpuryR6gu3IAA4E0AJSG1QASpzEAAaYAIAAAMYNxAXCyz07PwJJbvj_s1A3_D_2RoA7gnxvhbvvacKC_8q8vHpsQAAABX58wb-AApj9egLNBTK5frL4QYJf90ZDsLXAPPDBS4v0P4c_yD1dwDC-aoNI9jcBv87MiAALf8lKjs4E0AJSG9QAiqvBhAMGqAGAACgwAAAeEIAAJBBAACAvwAAukIAANxCAACAQgAA-MEAACDBAADAwAAAqEEAAHTCAAD4wQAAAEEAAIZCAABcwgAAQEIAAAjCAADgQAAAZMIAAILCAAAgwgAA2MEAAHBCAAAAAAAA8MEAAPDBAAC2wgAAQEIAAMBBAABQQQAAwMAAAJDCAABwwQAAQMIAAODAAACAQgAAxkIAAADBAABYQgAAVEIAAIA_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-AAAsPgAAuD0AAJY-AADYvQAARD4AALq-AAADvwAA-r4AAM4-AADYPQAAir4AAFw-AADYPQAAUL0AAGS-AADovQAAUD0AABw-AADiPgAAfz8AAAQ-AACIvQAAuL0AAI6-AAAcvgAAyD0AAIC7AAB0vgAAUD0AAOA8AADgPAAA-L0AAII-AADgPAAAFL4AAGQ-AAC-vgAAuL0AAKC8AACKvgAAcL0AAFw-AABQPQAAUL0AAHw-AACovQAAgDsAAJi9AACmvgAAJD4AAIi9AAB8PgAAnj4AAKa-AAAQvQAASz8AABy-AABcPgAADL4AAIK-AABQvQAAED0AAJq-IAA4E0AJSHxQASqPAhABGoACAAAUvgAA2D0AAEy-AABVvwAARL4AAEC8AAAUPgAAED0AAAS-AABsPgAAiD0AAHC9AACGvgAA-L0AABA9AAAwvQAAyL0AAD8_AAA8vgAAbD4AACS-AACGvgAAMD0AAAy-AAAUvgAAmD0AAI6-AACAuwAAbD4AAKC8AAAQvQAAgLsAAJi9AABMvgAAXD4AAJg9AABkPgAAML0AAJi9AAAkvgAATD4AAHC9AACavgAAqD0AAFS-AAB8PgAAf78AADy-AADgvAAAyD0AAAw-AACAuwAAPD4AACQ-AAAQvQAAgLsAAIC7AAAQPQAAHD4AAOi9AABUPgAAPD4AAOA8AAC4vSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=uQ6KSt94jVY","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3857651958411209056"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1146342040"},"15472314116405589868":{"videoId":"15472314116405589868","docid":"34-2-16-Z914471A74F2E8F0F","description":"The definition of the center of a group is given, along with some examples. Then, a proof that the center of a group is a subgroup of the group is provided.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3430053/e0d44b3398e6d8953769fe73d16accae/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/NKR5NwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DhduYI_9DqvU","linkTemplate":"/video/preview/15472314116405589868?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) The Center of a Group","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=hduYI_9DqvU\",\"src\":\"serp\",\"rvb\":\"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_foFAAAA-_z_EAEJ-wLw_AAE-___AP8D__v5Bf4A6QD7C_7_AAAC-wH--gAAAO0GAwXxAQEADAsMBgUAAAAOAfQP_QAAAAYDBPr_AQAA9v_8DQT_AAAF_gMEAAAAAPQL-PQAAAAA_wcF_QAAAAD_9QH-AAAAACAALSxg1Ts4E0AJSE5QAiqEAhAAGvABf-oX_sL74f_B7vb_3vjfALb5Rv87Rdv_u-UxAMYNEwC6HBEBA-fbAMTlAACx8QIA_9nVAOzW0QBH_cn--vgMAB4r9QEg6hQCRRY0_9ze6f7__Uf-6eggAij_2QH-8Pr7DPklARAU9v7-4cIA7e5QAwwDCQEDDAwD7Awf_cr5CgP84tn9_Aod_Q4UGPje0CwD_BHeBgAD-fbZPAcEE93m_-q1DPvvIeb3azDvAxgyC_rVxPkHAvDW-rwpIP7eOPD9DysM8fi6BP8KCfQAHaT4-iLIDAUe5en68wXq_hznH_ns8fn8u0EM9-oJDQco9PH_IAAtv04AOzgTQAlIYVACKs8HEAAawAeGy-q-_u2HPbCXwTyagpu9qbUXvAMFXr0jE_C91y0nPff9QLyf1qM9IfD2PEX2nLz2lmK-BXiBPHk_DbzFVYU-VDBvvZt_Krx6Fy--CDwwPSmf1LxnYgq-VWH9PDBCPb1fP-k8N-eauyOsvLwKnRc-k5sVvBGKrbwgqOi6HXURPDPcAL1WP8C8F_hFvTt5ibs-sOM9n34IPAzuojwgB7o9gpE3vYiynLxYbs48fxscO9jVZDyscOu98NOCPDIFqbsJeZM9DdbJPPyOYTwtiJK6WIxfvKbeCb36fT-9GpQfPcYFZDoWAg-9NM7wu1ODfrtzUrM8rlIwPBbHnDwNUyu-XLKmO2K6NbzkZvg9ZkzhPRgj1DsYPmK9drd8PRbfKzw0tVE9Z_8NPcaJ7bvXitY9cG32O1SLqbrC1Bu9s2EtPW8ePbxjYD09Dy7IPX357jz081A908APvbuSrrycBKU8XQB1PKMngLyHBGK9N656Pf42eryvpvw8IMTfupgWdTz4ZsU9v6KGPTZFNrzJU1s9AICNvagwWzzYdyq9HM0xvtc0jLp7DZY9ZL5tPcurxrpxeUc9vz-tuwtMwLpcTBq8bXuxvP0RK7wCyIo9OIyNvRTHZLtNBUa9YarZPEdXabv8ZUG8hezZu4dCOrzLrqU9BEgDPf5XhLtOAmW88KyIvfj1xzq4j3w9PByTvLhLMLsCOgI9Zw6pvSuMrjkSUME9wXhBvWHTCrrZEBK9Sc3ovFpCpTt_vi29IVeqPHCOBLtq3oE9UWZovQIWhDkNFrM8CHyJPdyp-DgIfxW9W0SvPZiB-DhblDk9xs81PP9BFjmrPZG9GlIVvjBRCjp2PAG9oHOSvKoVkLjKkm-8-O2YOpWByDcGJEa9w1e1vQjIXTfMLjM9aksCvVBairlGmtg9sjMAPdYLkDg3blG9piWrvRhVv7ja93K9mgwCvUmuojmrs5q8TftBPFirQ7frpGM8ooyivb9SZDnjp3E8n3l0PfBpBrmOlM09fZKbPbOgVDcIm_A8uf3SPUdpZTgGnCW8jGrRvfpT9zfLXps9Lg-IPAK0A7a9j-O9OGXOPThzkTie_Mc9Pg9pvQwxKDlEQLQ8akr0O81iJrgQlrG7R7AMPbrSejixFQQ-xv_4OzLZU7jApEI83wNPvG50JbjOcjS8XQ_Lvahwm7fXBTI9CHhNPe_HHLjk1Z68eonxvWVVMLjK9HA9IuErPvHLijhwM0s9NLPLPdnTp7d2KaI7oecFvFtY5raG2VW9fgkLPZNgcDggADgTQAlIbVABKnMQABpg_AsAN-xE_TMjXvoJ8-kH0s0U6xe3-f_REv8bLPPrCgek2SAQAETOK8ahAAAA6ibYJc4AJn_e6xA4GUTI-c7fIw1gxSI5yLTyJpnabEHz-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-AADyvgAAuj4AABQ-AAD4vQAADD4AALi9AACIPQAATL4AAKi9AACgvAAAuD0AAAc_AAB_PwAArj4AABA9AAAMvgAA2r4AAHC9AAAUPgAAor4AAJi9AACIvQAAyD0AAEQ-AABAPAAArj4AAFA9AADGvgAAoj4AAAG_AACYvQAAvj4AAMq-AACevgAAVD4AAFw-AAD4vQAArj4AACy-AABwPQAATD4AAEC8AADYPQAAgr4AABC9AAAPPwAAQLwAAJg9AAB1PwAABb8AACQ-AADYvQAAbL4AAPi9AADoPQAA2r4gADgTQAlIfFABKo8CEAEagAIAAAy-AAAsvgAA4r4AAEu_AACKvgAAUD0AADA9AAB0PgAAFL4AAK4-AADovQAAcD0AAJ6-AADovQAABL4AAIi9AAB8vgAAHT8AAEy-AACqPgAA-L0AANi9AADgvAAAcL0AABy-AACIPQAAHL4AAIC7AADYPQAADL4AAOC8AABAvAAAHD4AAPi9AADIPQAAyL0AAMY-AAA0PgAA-L0AAOA8AACiPgAADL4AACy-AADIvQAAQLwAAJg9AAB_vwAAoDwAAIC7AACgPAAAQDwAALi9AADCPgAAJD4AAKA8AACgvAAAQDwAAFA9AAAcPgAAmL0AAAw-AAA8PgAAdL4AANg9IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=hduYI_9DqvU","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15472314116405589868"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2093479212"},"9543538916776076722":{"videoId":"9543538916776076722","docid":"34-9-16-ZF9924FC4C62B39C7","description":"Algebra (Mathematical Concept)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2826532/4b3ff34b3815acbe7ee5e2d9624e33ae/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/jaFDYAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8rkdpUIgTgE","linkTemplate":"/video/preview/9543538916776076722?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Equivalence Classes","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8rkdpUIgTgE\",\"src\":\"serp\",\"rvb\":\"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_E5gFggQkAYAEKyqLARABGniBBPwHBAP9APgBAAr3B_0CEP0GAvYBAAD1B_v-_wL_APgJBw4BAQAA8Pj2_vgAAADyBP4C-QAAABsG7_4EAAAAGQT8C_8AAAAYCvUI_gEAAPT6_vwDAAAAAgYFEgAAAAAADvnwAP8AAPgDDfsAAAAADgLx9gAAAAAgAC3l8ss7OBNACUhOUAIqhAIQABrwAX_7EwHbDd8A7fz9ANT_1wCvDBr__THUALzZAgG_A-IA4ycM_wvk9QC5DSoAvAcB_xLauAIA3PYAOcrm_w3X4gAMFgUAD9wnATkSK__wAvP_4iAr_QThDAAo4toCDRjz_gr6HgH-DO0B7gPFAg7-OwHuHBAD__gP_fbfGQXf8egF_Ofg_QUI9gD75Ar-9_Uk_grN7AT8B-__tB72_gcK-f_74wP7ByzX_hAW_P8u_u8DrwL8Awz78ArqIRv--hHwBBAQCPflCRbw5vgHACXOAP3z4QMBIb37CRIE6_r58g4F6QL3AeUJ-fXoFPwEB_0E7CAALVwwGzs4E0AJSGFQAirPBxAAGsAHY0Pvvg_Bp7zTgIM7nAGJvOPUmLw47W694OLXvHi0EDzYkwa7IJbCPQqjGb0QBp689pZivgV4gTx5Pw28xVWFPlQwb72bfyq8ehcvvgg8MD0pn9S85HLCvTiCWDusPQe99nM0vX--rbxGOeK6vz6vPRfrn7u1FQC9s652ves98LwggC-9EfmTPNMjl7zcNgK8pVSdPUqWS7pd_Vi6hTiAPW_etLqu1xS935LSPMSNAD10SEW7axGxvcfIyDwfEdO8XhyLPC6IrbyGh9k7eAA1vVen8zrFgu-7A7oGPEJqqT34qjU9lgpqva6Uij2pfzW8tbXPOy-uBz2BerO7d_UKvqCfLj1c-VG8Puq_Pei0-Dx2Co-3Jgx0vV1Guz1MLLo83fGhPUt6k71gK5e8uYnaPQnrFT2uC4U7_p6YvGL4Bryrg1U7YjVxPJjOnT0KU067z6StPWBkODzm4pS8KnF9Pae-PbzVfka8JwetvRdWYLz0-368pCyNPZ0cFbx5bJE7UXc0PXvBRz3A8CW7LcoRPV8XhL2aQ_M7zvIGvZA4ir2cy0O8Yy-fPSb_oz24YjW8kWT2PWmjX7wAk5K7N9JDvVXCcrsCuky7pH29PXPJh70vyC87IYZnvTpoBDxdjJ67tcWxOxRYJbwuOdG7nGRQPI99ij0uyxe8ZoRXvTaSBL0sEPs7mxuoPcfJsztOqBY7h8uAPWmOLDwB12C6rG8wPuSezr3Zxyu4HhOOvHsfPb1Rlqm72YTqvC_UK7zd_Uk6x2cSPq6g6b2QCbS5i3YrPSCXWD32qF-4lInbvQndmj3vveg4en33PCoetLqWGKe3qz2RvRpSFb4wUQo6nDW4vP3SRzwvJHW6pA3VO1vdATxcNbY5vbkJvRh-K720UAa5kj6tPHEbzbyxv2Y4WRyZPXWFaD3hTo44n07gO0b1sbwUpyy3DbAlvYpyIbrGli459VXovI-JWT3WMUE4w4AlPOeOjr3DZnI5B1yMPauBIT37x6c4wn2ePSMTED1hzHA3Ko5DPeIC0D27Afc4BpwlvIxq0b36U_c3T9GsPcONCj2p3Im4opOqvVenxD29NqA43oi4PMJuM73tnK-39ZtsO3C2FL3juvc2WYdDvfaz2Lz2V2E4kl0ZPtlPUL2swj-5l6ufPGNlz7yJytY3dfX0vFnd6r0NI_E1m9KPu-Lkjj1g3kc35NWevHqJ8b1lVTC4Iv_sPTUpBT7zflu4mJNlO4AL0j2Y5A-5LL_Gu6v6Bj370Pa3ziuovPqpBzo9VeM3IAA4E0AJSG1QASpzEAAaYBf5ABoNPd4IR2rj8N32Gd3z671A6fz_7wb_BRQA8RwJ1sT69_8e0QDMpgAAAOr5sQEDABh-tO4ILBEU7-HKyzwjedEMIbP4ANzA_Tgr8Qc0Fj0CfwCw_bQgC6TFAPQqGiAALbnzFTs4E0AJSG9QAiqvBhAMGqAGAACIQQAAGEIAAKBCAAAswgAAhkIAAAhCAADkQgAAMMIAAAAAAAAAwAAA8EEAAMjBAADAwAAAAMEAABDBAACgwAAA2EEAAMDBAADgwAAAwMAAAFTCAACEwgAAiMIAAJhBAAAQwgAAdMIAAFDBAACuwgAAoMAAAMBAAADowQAAkEIAAHTCAACgQAAAjMIAAIDBAAAIQgAAjkIAAIA_AADwQQAAREIAAJjBAABAQAAAwMAAAJBBAAC2wgAAsMEAAFxCAAAwQgAAQEAAAETCAAAwwgAAoMAAAABCAAA8QgAAuEEAANzCAACAQQAAIEEAAABCAAAYQgAAdMIAAHTCAACYwQAA-EEAAHDCAAAwwQAAZMIAALDBAABcwgAAwEIAADhCAAC-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-AADoPQAAoLwAABQ-AACYvQAAQLwAACy-AAAbvwAA6r4AANI-AACKPgAA0r4AAJg9AAAwvQAAHL4AAIK-AADovQAAEL0AAL4-AAAvPwAAfz8AAGQ-AACYvQAAwr4AANi9AADYvQAAND4AAES-AAD4vQAAPD4AAAw-AAAQvQAA4LwAAHQ-AACgPAAAJL4AAFA9AACCvgAAJL4AAKC8AAAPvwAAZL4AAO4-AAAwvQAAgLsAAEw-AABwPQAADL4AAKA8AAAMvgAAUL0AADC9AAAMPgAAnj4AAGS-AACIvQAATT8AAKq-AACGPgAAbL4AACy-AABAvAAAuD0AAMK-IAA4E0AJSHxQASqPAhABGoACAACgPAAAMD0AAES-AABBvwAA6L0AAEC8AAC4PQAAgLsAAES-AACePgAAMD0AAIi9AABMvgAAFL4AAIC7AADovQAAVL4AADM_AADovQAAij4AAPi9AABkvgAAoDwAAMi9AADovQAAcL0AAGS-AACgvAAAPD4AAFA9AACAuwAAUD0AANi9AABwvQAAuD0AAJi9AACaPgAAcD0AABS-AACYvQAARD4AAIC7AACCvgAAiD0AABS-AAB0PgAAf78AABS-AACIPQAAUD0AAFA9AABQvQAAdD4AAIg9AAAQvQAAgDsAAEA8AACgvAAAmD0AAEA8AAAsPgAAgj4AAOi9AAAMviAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=8rkdpUIgTgE","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9543538916776076722"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2493820700"},"7011044138322999796":{"videoId":"7011044138322999796","docid":"34-4-4-Z34A5DC56D8861644","description":"The definitions of open and closed sentences are provided along with some examples. The domain and the solution set are also discussed. Banana (Darkone, 28.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2999358/364d80f8c42ede26ab393c9da7e217d1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/KcROLgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0AatzNhr03o","linkTemplate":"/video/preview/7011044138322999796?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Geometry) Open and Closed Sentences","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0AatzNhr03o\",\"src\":\"serp\",\"rvb\":\"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_E40BggQkAYAEKyqLARABGniB_An1AfsFAPT--AX5BP8BBAAAAvj__gDlAvH3Av0CAALzBA39AAAA-Pv9Av8AAAABDAEB_v4BAAwG9QMDAAAAEgAEBP0AAAAOA_j-_gEAAPb_9AID_wAA-_HzAv8AAAD-__37AgAAAP0E_v0BAAAACv8F_gAAAAAgAC1gPeE7OBNACUhOUAIqhAIQABrwAX_l6v_jEucBwwLlAcLQNwLrJSn_Ii3bAJ4XGAHGzwIBBe_tAPbrof_2v90A6wwfAA4n1v8h3f0AMzj1ABkCDwH98TAAA74l__nGFf8s9vb_JDM0_sXgEgDy1Kf_Cg3J_hARE_3vC_f9_wfaBO3uUQNF-hIDC_Qp_AHrFf7jKeT_Fqvv__D_3_3Z2vj7CvExBePNDAABGQP52-YOBiU6wP3i0Nz7Iv-_-hwjCQbj0yX9PvD6B-H48v4FCw4D-BrT_OIEGgD7we77_e8V9yDJ7wXbO_L4Csb3Ac0WCwsN1OIA2xoAAxYTDefJGw0U8-Lu5CAALVZo_jo4E0AJSGFQAipzEAAaYEn1AAvqEboB8z3Z0dUEC-zZ7tkNsdz_2gv_8QTRMPn_xMocEQBN8iT9qAAAADMW_S7mAARu8tMbAzgGDJ3Ey_45f_HnzAjFJBqO6t8ZG-Mf9BM0LgDv18ju7dPX7-bwLSAALaYqHzs4E0AJSG9QAiqvBhAMGqAGAAAAQgAAwEAAAPBBAADAQAAA6EEAAFBCAAD-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-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-AABEvgAAcD0AAB0_AAAsvgAAmD0AABS-AABTvwAA2r4AALg9AAAkvgAAwr4AACy-AACKPgAAXL4AADA9AACWPgAAiL0AAI4-AAARPwAAfz8AADy-AADCPgAA1r4AANi9AAA0PgAAED0AAKa-AADqPgAAED0AALI-AAAEPgAATL4AAJI-AAAQvQAAdL4AADS-AADCvgAARL4AAAS-AADgPAAAHL4AAK4-AAAEvgAAxr4AAIC7AACAuwAAwr4AAEy-AADYvQAAFL4AAHy-AABUvgAAoDwAAKI-AAAQPQAAbT8AAJK-AAAwvQAARD4AAFC9AACIvQAA6D0AADS-IAA4E0AJSHxQASqPAhABGoACAACavgAA4LwAAKi9AABjvwAA-D0AAIK-AADIvQAAZL4AAFA9AACYPQAAyD0AAFC9AADYPQAANL4AAOA8AAD4vQAAhr4AADc_AABMPgAAJD4AAJg9AAAMvgAAmj4AAKC8AACAOwAABL4AALi9AAD4PQAAZD4AAOC8AABwPQAAqD0AADC9AAD4PQAAqD0AAJa-AAB0PgAA6D0AAHy-AADYPQAAVD4AAAy-AAAcvgAAyD0AAIg9AAAwvQAAf78AACw-AAAcPgAADD4AAKg9AACSvgAAMD0AANg9AABwvQAA-D0AAKC8AABAvAAAmD0AAGS-AAAEPgAAmL0AAIK-AADovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=0AatzNhr03o","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7011044138322999796"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2308107390"},"5142256226846372584":{"videoId":"5142256226846372584","docid":"34-7-10-Z0736AE56EDCD845C","description":"The identity function is introduced and some of its properties are examined.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3324746/f30826ac9f6c5daaaf7d5d24dcce73aa/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VPOFMQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DL8Ht3gI7bOc","linkTemplate":"/video/preview/5142256226846372584?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) The Identity Function","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=L8Ht3gI7bOc\",\"src\":\"serp\",\"rvb\":\"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_E8gCggQkAYAEKyqLARABGniB9v70AfwEAPz5BgcCB_wCCwD7-vcAAAD1BfX99gL_APgI_AEAAAAABPgIBAAAAAD4_QYD_P8AAAQG-wf5AAAADQH1Dv0AAAACC_gG_gEAAPgB_AED_wAAFQT-BQAAAAD0Cfr_AgAAAPoBBQAAAAAA__YB_gAAAAAgAC1QGeE7OBNACUhOUAIqhAIQABrwAX_08wLKDfz_DQfdAMgmCACb-w3_DxPXALf_AACxEOr__hX1AOTU7__mGhD_4f0bABkBywAC6xQAPfX5_yL49v8ADAwAMNAOATEOFALxAvT_5B0n_hHhGQAl5d0C6wrw_AAJGP3H_esCH_fXAg3-NgED7w8CCwMTAd_0Bf_rEfME7uHe_hf5_v4A6vr-6wYhAfDk9wX2Bv__0iP_-v0Q3QT-4xT98gb9-ib99Qbz9Pn4x-0S_uwG2wIDBif_0xLu_gnrFQL05AHx8AIN-j_oDgrb_xz5CNX5Af0d9gcJ4wr86fsC-PMK_P3XFAoP-Qr48yAALXgAKTs4E0AJSGFQAirPBxAAGsAH8S3kvjPFNz31Rxy8THBKvYm41jqKsKy9MgDUvWEmID1Cpds8n9ajPSHw9jxF9py8xJdZvoxmZbz1uiW9xVWFPlQwb72bfyq8ehcvvgg8MD0pn9S8t7IkvikVwzxE0GK83PUSPZELzrygBxC7HQDxPfXVFb35njG9s652ves98LwggC-9K4jBvMMXHL1JW-a8FuqPPcJVebzzbaQ7bEhXPbHs-LxUhpa8CiEQPJsPOb11b6i6XR5GvBAGnjxhmS29H6EmPZ6ekrxvkxk84D1RvJB9FT3G_zo7pEScvLJDoTw7Do87Y15sPDsODT0tTuu8ezJaPSIWVrxc2yW8qMghvgJ8HD3o6W083bQZPj0W0TwDYPq7xmGqvatbnT3u1Jo7f2VKPb_R87z_zKC8FuzAPUqrSz1jYnO8VlqQPFVx_jwqkxa8JNENvJloKz1YkGY8IEuqPagW9rxcdoi8UZgBPRaKVL3-SZe8LPmTvWJgQjwPL6O8hrqJPQak2DvX1Qu8-HU7PZwOCT2WXCS7xTVDPfhRDb4Jbyy7ldw8vTzxwb1D6ea73cF-Pby7JD2Ie5G8YHKoPUc-Djygfwq7oRGNu7mwJLzgwvS6wz6bPROPNb0lJBI8ziaWvfqerDy14TC7Ul8WPexqsrzhhzm8qhyJvCumAj4O6g25_mFrvefE3rxN1qi7oYbPPaUX0juj6rK7zC5zPVAZvzxdvho7CyToPasBL73sydM5eaenO4CKWb2mCVa2xxFLvSBOlrzX6Au7qoKhPRoYmb1HSqA4XS-iPUSidTys0Ic4lInbvQndmj3vveg4en33PCoetLqWGKe3qz2RvRpSFb4wUQo6ePf2vFjypzx765k4Ha0qPdzhZTwwxl44UNBcvRLk1rzezyo61zuSPIX6Zz1oXWi48UWQPVKtTzyesr84wPK7PEo7HLxrZM44WxELvVCc7bxw0wM59VXovI-JWT3WMUE466RjPKKMor2_UmQ5w3csPe5IoD1t7Rs5GDxRPQse8DwLgwG369A_PbPdMz3Lj5O4088IPGYx0b0-S5c2ifC6PcMRpDznjKC4IvsAvsZfJD0XmGU4FA9evDOeEr0clje3E7rLO9ehmroaXje2ly0DvS9q97xaKdw3kl0ZPtlPUL2swj-5icK4vLyu37w_zpu2c_lqPFX4o73jEDs3rSRDvQxzRz0ewRY3JtyQvBYwMb5BoFq5Iv_sPTUpBT7zflu4l7sDvNLTwT1Rasm4-zcUvYnONz2vDY-3ziuovPqpBzo9VeM3IAA4E0AJSG1QASpzEAAaYA_9ACAWJRL8A03rJPrkDNzcM_4o7uP_0QYAAQ3L_wT0yKv5Cv8-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_AABkQgAAIMEAAIDAAACAQAAA4EAAABDBAAC4wQAAYEIAAAxCAAAQQQAAMMEAAARCAABEwgAA8EEAAKBAAACIwQAAjsIAANDBAAAAwAAAsMEAAPjBAAAgwQAAYMEAABBBAADAQQAAAAAAAJBBAAA4QgAADMIAAFDCAADYQQAAgEEAAOjBAADoQQAAAEAAAMBAAAD4wQAAyMEAAIC_AABQQQAAAEIAAHTCAAAwQgAAEEIAAHDCAACAPwAAQMAAAODBAADIwQAAqEEAANBBAAAAwQAAgD8AAHjCAADAwAAAQMEAAIbCAADgQAAACMIAAKBAAABgQQAAoMEAABDBAAAUwgAAEMEAAJRCAABEQgAAQMAAAEBAAACIQQAAQEEAAITCAABMwgAAuMEAADxCAAAgwgAAMEIAAIjBAACmwgAAkMIAAJDBAACAvwAALEIAAADCAABswgAAJMIAABBBAAAgwQAAAAAAAEjCAACYQQAAwEAAALhBAAA0QgAA6MEAAOhBAACAQAAAEEEgADgTQAlIdVABKo8CEAAagAIAAOC8AACIvQAAcD0AABw-AADIvQAAJD4AANg9AAAJvwAA9r4AAJI-AAAkPgAApr4AAFQ-AABwPQAAmD0AAIA7AACIvQAAoLwAAAQ-AAAXPwAAfz8AAKC8AADgvAAAgr4AAL6-AAAsPgAAXD4AAIi9AABAvAAARD4AAEQ-AABsPgAATL4AAII-AAC6PgAAmr4AAFQ-AAB8vgAAyL0AAFQ-AACqvgAAsr4AAI4-AAAQPQAA6D0AAP4-AAAEPgAADL4AAMi9AADOvgAAFD4AAPi9AAAwPQAA6j4AAOA8AACoPQAATz8AAI6-AACOPgAAQLwAAOg9AACovQAAcD0AACO_IAA4E0AJSHxQASqPAhABGoACAACyvgAAJD4AAKq-AABLvwAAiL0AADQ-AABEPgAAUD0AAJi9AAAUPgAAgDsAAKC8AADevgAAHL4AABy-AAAQPQAAgDsAAEM_AABQvQAArj4AAOC8AACevgAAZD4AAIi9AAC6vgAAEL0AAFy-AABAPAAALD4AAFC9AAAEPgAAQLwAADS-AAC4PQAAbD4AAEC8AACmPgAAHL4AAFS-AACgvAAAbD4AAPi9AADIvQAAiD0AABS-AABBPwAAf78AAMq-AAAkvgAAFD4AAIo-AADIPQAAuj4AACQ-AABAPAAAMD0AAKC8AABQPQAAzj4AAMi9AABwPQAA-D0AAKq-AACAuyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=L8Ht3gI7bOc","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5142256226846372584"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"395604321"},"14841494246850838930":{"videoId":"14841494246850838930","docid":"34-4-10-ZA34D957BBEAD5287","description":"Let G be a group and let a,b ∈ G. Show that (ab)^-1=a^-1b^-1 if and only if G is abelian.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2396285/b6e271aa0436128363b275ba98e252ec/564x318_1"},"target":"_self","position":"7","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJaSJt3e6Pm0","linkTemplate":"/video/preview/14841494246850838930?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Groups 5","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JaSJt3e6Pm0\",\"src\":\"serp\",\"rvb\":\"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_vwA_gMA9vkGCQ4G_AELEP0E9gEBAPr-AfkEA_8A6vP8_fz_AAACDQj4-QAAAPwECPL7_gEACwoMBgUAAAAS_gD4_wAAAAwN8AL_AAAA4PYABgP_AAAMAQoFAAAAAPgKB_v7_wAA_g8FAAAAAAAC9wUHAAAAACAALQBT2zs4E0AJSE5QAipzEAAaYNQQAC8OD9n9YNfeGPXCKRjp2OHwqBj_4hQAGECq0h8yCN4O-v8yyxMdqQAAAAE38A3YADRoC-7d6uwb8wfU-kgtf0ki8N7W3SUFAUoPANL5DrAa3gD06hUM8vvUTyM2-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_AADAwQAAaEIAACDBAACOwgAAMEIAAABAAACIQQAAgEAAABTCAABoQgAAUEEAABzCAACeQgAAeMIAAADAAACgQQAAoEEgADgTQAlIdVABKo8CEAAagAIAACw-AACSvgAAmj4AADw-AAAEvgAAgDsAAGS-AADevgAAhr4AAAQ-AAA0PgAA4LwAAEA8AAAQPQAANL4AAKA8AAAMPgAAQDwAALi9AADSPgAAfz8AAIg9AACCvgAAmD0AACy-AADIvQAAoLwAAJa-AACoPQAAgDsAABA9AACiPgAAJL4AADC9AADYPQAAXL4AABQ-AAAUvgAA-L0AAIC7AACoPQAAlr4AALg9AAAwPQAAgr4AAIA7AABwvQAA4LwAAHA9AAD4vQAAQLwAABA9AACoPQAATD4AACS-AACoPQAACz8AABy-AAD4PQAAjj4AAIC7AAC4PQAADD4AAIg9IAA4E0AJSHxQASqPAhABGoACAACAuwAALL4AAGS-AAAlvwAAUD0AAIC7AAB8PgAAPL4AAKC8AACiPgAAgLsAAKg9AACAOwAAyL0AADA9AACovQAAiL0AAAs_AAAMvgAA2j4AAHS-AAC4PQAAyL0AAHA9AADgPAAAoLwAAOg9AAAwvQAAJD4AADA9AACAOwAA-D0AAIi9AAAsvgAAqL0AAEA8AACKPgAALD4AADy-AACgPAAALD4AAJg9AAAkvgAAqD0AAKA8AAAUvgAAf78AAFA9AAAcPgAAyD0AAFA9AAA0vgAAUD0AAJi9AAD4PQAAmD0AABA9AAAcvgAA-L0AAHA9AAAEPgAADD4AABC9AAAQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=JaSJt3e6Pm0","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14841494246850838930"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"15212499826442881285":{"videoId":"15212499826442881285","docid":"34-6-1-Z39F4C8D3B90A4AED","description":"Let G be an abelian group. Show that for all a,b ∈ G, (ab)^n = a^n b^n for any positive integer n...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2048511/2c215c34c7bf4ad32aeb4a061796fb57/564x318_1"},"target":"_self","position":"8","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZ-ij-TzHafM","linkTemplate":"/video/preview/15212499826442881285?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Groups 6","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Z-ij-TzHafM\",\"src\":\"serp\",\"rvb\":\"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_BPsB_gIA8fsRBQYE_gELCgcA9wEBAPb_CgAHAv8A7fwD-gP_AAABGAz-AQAAAPf9_vX6_wAAFgIPBQQAAAAc-QL1_QAAAAIL9wb-AQAA4PYABgP_AAAK9woCAAAAAPgLB_v7_wAA_g8FAAAAAAAA__7_AAAAACAALRPz2Ts4E0AJSE5QAipzEAAaYAQmADMSAu3mPtnYA_jdHg3_-fAKtx7_6REANja60x4eFtwWCf8mwhcfsgAAAA4t3Q4CACln__jcGAX2BuLH4kI-f043AOHlyQEg8iQWG9L4ANv4AwDcAfcTEPHfVwBKACAALTppLzs4E0AJSG9QAiqvBhAMGqAGAAAkQgAAmkIAAIJCAADowQAAoEEAAORCAABcQgAA8MEAAMzCAABEwgAAqEEAACDBAABwwQAAXMIAAHRCAABwQQAA4EEAAJDCAABAwAAAWMIAAADAAADQwQAACMIAABBBAACwQQAATMIAAJjCAAC4wQAA0kIAAABCAAAQwQAAQMAAAHzCAACoQQAAsMIAAIA_AADAQAAAcEIAAIDAAADIQQAAgL8AAAAAAACAQQAAYEEAAAjCAACgQAAAwEAAAABBAAAkQgAAAEAAALbCAABwwQAAsMEAAPjBAAAwQQAAfEIAAJDCAAAQwQAAIEEAADBBAACAwQAAKMIAAFDBAACawgAAuEEAABzCAACAQAAAMEEAAJDCAAC4wQAAgEIAALRCAACYwQAAUEEAAIDCAACAwAAACMIAAMBAAAC2QgAA4EAAABjCAACAQgAAcMEAABBCAAAcwgAAiEEAAKBAAAAAwQAAkEEAAKDAAAAgQQAAmEEAAKDBAACUwgAAyMEAAIA_AAAIwgAAQMIAAGDBAADAwQAAssIAAPhBAABEQgAAIMEAAMjBAABgQQAAcMEAAHRCAACAwQAAQMAAAIhBAACowQAAsEEAAJhBAACIwQAA6EEAAKjBAAB4wgAAbEIAAEDAAAAAwAAASMIAAIBAAABEwgAAgD8AADBBAADAwAAAgEAAAIC_AAAIwgAAgD8AAEzCAADgQQAA-EEAAABBAACwQQAA0EEAAEDAAAAAQAAAQMEAAPBBAADWQgAAkEEAACDBAAB8QgAAFEIAAAjCAABgwQAA-EEAACzCAADgQAAAAEAAAFBBAAAowgAAIEEAAIjBAACGwgAAuMEAAHBBAACwwQAAgEEAAJhBAABIwgAAMEEAABDBAABgwQAAgL8AAABCAAAQQQAAYEEAAI7CAACgQQAAgEAAAADBAAAQwQAAPEIAAMhBAAAswgAAoEEAAIRCAADYwgAAksIAAIDAAACwwQAAdEIAAGDBAACSwgAALEIAAIA_AABAQQAAwEAAACTCAABMQgAAYEEAABDCAACeQgAAWMIAAIC_AACgQQAAmEEgADgTQAlIdVABKo8CEAAagAIAAMg9AACGvgAAqj4AAII-AABsvgAA-L0AACS-AACyvgAABL4AAJg9AABEPgAAmL0AAKC8AABUPgAAEL0AABA9AAC6PgAA4DwAAEA8AACuPgAAfz8AAOA8AABEvgAA-D0AACy-AAAsvgAA4LwAAFS-AABQvQAAHL4AAEA8AAA0PgAA6L0AAFA9AACIPQAAuL0AAOg9AAA0vgAAjr4AAHC9AACgvAAAZL4AADC9AAAUPgAAUL0AACS-AACgvAAAEL0AAAw-AADgvAAAiL0AAKA8AAAkPgAAPD4AAI6-AAC4PQAADT8AAFC9AACgPAAAmj4AAFC9AAAMPgAAyD0AAAw-IAA4E0AJSHxQASqPAhABGoACAABwPQAAXL4AADy-AAAlvwAA6D0AAHA9AABUPgAAPL4AADC9AACuPgAAED0AAAQ-AAAQPQAABL4AAHA9AACovQAAEL0AAAs_AADovQAA8j4AAJq-AADoPQAAiL0AABA9AAAwPQAAML0AADw-AADgvAAAHD4AABA9AACgPAAA-D0AAJi9AAD4vQAAqL0AAIA7AAAcPgAAVD4AAEy-AABwPQAALD4AAKg9AAAcvgAAiD0AAIi9AAAsvgAAf78AAJg9AAA0PgAABD4AADC9AAA8vgAAoDwAAFC9AADoPQAAcD0AAFA9AAAcvgAARL4AAOA8AACIPQAA-D0AAKA8AABAvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Z-ij-TzHafM","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15212499826442881285"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"11069264787285687794":{"videoId":"11069264787285687794","docid":"34-9-8-Z93E5D0C5C09429B4","description":"Mathematical Fallacy...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/228090/e97818485c201aa8fceb8bab0786a1d5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gZLMTgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNFsO-dNoLmA","linkTemplate":"/video/preview/11069264787285687794?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Basic Group Proof 1","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NFsO-dNoLmA\",\"src\":\"serp\",\"rvb\":\"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_REIAv8A-_z_EAEJ-wIQ9_P29gAAAPEB9wIIAf8A6woCBvsAAAAC_QD4AgAAAPb4__7z_gEAEhQFBQUAAAARB_4I9gAAAAYD9QH_AQAA8Pv8AwMAAAAS-AwMAAAAAP0P7_v_AAAA_P4NBQAAAAAJ9QgDAAAAACAALe7Czjs4E0AJSE5QAiqEAhAAGvABfvcP_78Q-__rDf4AyxgEAIEKLf8fKd8AuQX8AMkE-wHgKw7_FfTJAr76DAHP__3_FNewAhXbGv8c1NUA_-fpABYE9wAksh8ARwMY__ANAv7eIy_9BN0OAAvY5v8P_-EADw8R_eT71wO--coBEP5BARMfG_8OAxcB6gQyAfcZ7gX85dz9Gw8HBN_G9vsEDDX-C878_hMZ-v3JKv_5Cxfq-_7dGPz1K-oDKAwHD_H2DvbA-wMB9hvj-vYUEwjeD-8DEQIO_-Lx-_PsDfYGNs7uB8sAC_kktvoKDSHo_wDJ-AHl-gL26CkK7sUpBv8I_QTqIAAtUCMNOzgTQAlIYVACKs8HEAAawAfYRfm-KKw_u4Kc5jylnY-9ROTPvIVLvbw8izm9chsIPceBHjpRu689ns46vAiiOLyz8HW-x9CWvEVkQDnFVYU-VDBvvZt_Krx6Fy--CDwwPSmf1Ly3siS-KRXDPETQYrzc9RI9kQvOvKAHELtyHmk9O2pxvby0PL2zrna96z3wvCCAL71WP8C8F_hFvTt5ibs_P2c9e2GXvNILDrxT0K08FuwQvRJv-Lw_T4s76pLQO0VNjzx7rgW9wwd7PSPKDb0foSY9np6SvG-TGTw8rCY84NadPP56KrzBZV88LdOOO3eU1DxY8y28dRE1PXrhTrxpox890iMhuVqJVLx39Qq-oJ8uPVz5UbzdtBk-PRbRPANg-rsYPmK9drd8PRbfKzzFIgE9M7nivNNGu7vPfKM9uDJSPafQVDwgooc8-aRuPaBIgbyqHka6gIGAPVTTZDyeV4E9wF-nPIqGFrxRmAE9FopUvf5Jl7ws-ZO9YmBCPA8vo7w-Mrc9uZ3HPMplpzjCWYA8WYuaPQxGGzxFXKU8c7j2veQENzzHg229VxCOvZ23Vrzovsw9ADBjPa7mDDv2Bak9wbzRvG988bv50A-9196nun5a3jvDPps9E481vSUkEjyYfH29HsZkPd1QArz8ZUG8hezZu4dCOrzEknY732-kPVxAwzrweJm9a3YuvUQe-zubG6g9x8mzO06oFjvrNzM9MWdRPcZx-TqBW_c9CEuWvfhf7jjFQLI8D5vIvLJWh7ndaxe9SqoAvR5MPbltA9c9taPYvQyfrzkfu-s9Jh6rPF20OzkmbLS9ZEDWPVwmEDgC7yk9zRm2vJ0lFTjLovC8W0IevjcF4zlGuS-93MUKvXhFs7km2Y88srYOPZcUlDkl1ji9GMxEvR8fzDm4VOu7qLudO6iII7n-8pk9zNVqu6_VxDjBjAk9LCz6O9-hVzpxTzy9f9U2vDSgvzhhZmm8Na0-PQDuibjrpGM8ooyivb9SZDmW7Z48bBsrPRMdbrioT5c8I0ItPc_afjj2RzM9pjRxPQrtsbj1_0M7x3lkva9jtbeJ8Lo9wxGkPOeMoLgi-wC-xl8kPReYZTj-G6q8fXsyvag-zzfOJQs8u2VivIG8mbaFD4C8z-AqvftMF7iSXRk-2U9QvazCP7nfx4y9H9mcvIRKDLbVO4E87z2Hvc2TvzdAkIK9prxxPaB-9bYd4ww8Z0bfvWlQErjK9HA9IuErPvHLijjtlkY6deikPQpu47j7NxS9ic43Pa8Nj7fOK6i8-qkHOj1V4zcgADgTQAlIbVABKnMQABpgHvUAPwdK5RUpW-IR2wckx8LO0Sba-P_UHv8SKQDlA-6-xQsUAEbq9dyjAAAAAxjaSfUAKX_U2_IUCirL6pvVOgdc7QYvj-Dj-7j4bS_D5dkEFgEyAMfvqx0q69MHJxgOIAAtkvgTOzgTQAlIb1ACKq8GEAwaoAYAAGhCAABUQgAAjkIAAIjBAACSQgAAqkIAAKhCAACgwAAAwMEAAPDBAAAQQQAAwMEAALDBAAA0wgAA-EEAALDBAAAYQgAAWMIAAEBBAAA0wgAAOMIAAEjCAAC-wgAANEIAAEDAAABowgAABMIAAHDCAADgQQAA4EAAANDBAADoQQAAtsIAAADAAACqwgAAEMEAAPhBAACUQgAAQEEAACxCAAA0QgAAPMIAADDBAAAAAAAAIEEAAEDCAACAvwAASEIAADBCAABAwAAAhsIAAEDCAACQwQAA4MAAANBBAAAkQgAAuMIAAIDAAACAQAAABEIAAMBAAABowgAABMIAACDCAADYQQAAWMIAAEDAAAAEwgAAdMIAAGDCAACoQgAAYEIAAKrCAAAEQgAABMIAAPjBAABQwQAAoMAAAADBAACgQQAABMIAAGRCAACQwQAA-EEAAIDBAAAUQgAAAMEAAFDBAAA0QgAA4EAAAOBBAACoQgAAkMEAAIA_AADYwQAAgEAAAJDBAABwwQAADEIAAHDBAACGwgAA-EEAAJBBAACwwQAAoEAAAHBBAACQwQAAQEEAANDBAAAAQQAA-EEAADDBAABwQQAAcMEAAGzCAADIQQAAUEEAAEDCAABAwAAACMIAACjCAAAAwgAAJMIAAIDBAADAQAAAEEEAABBCAABAwAAAAMEAAPhBAAD4wQAAlsIAAEBBAADgQQAAQMAAAJBBAABAQAAAoEAAAKDBAACYwQAA-EEAACxCAAAEQgAAYMIAANhBAADoQQAAJMIAAKDAAACgwAAAcMEAAATCAACAQAAAZEIAAHDBAAAAAAAARMIAAAzCAACowQAAcMIAAMDBAAAQwgAAwEAAAHBBAACIQQAACEIAAODBAADYwQAAeEIAAEDAAACgwQAAcMEAANjBAABQQQAACMIAAATCAADgwAAAaEIAACzCAAAUQgAAYEEAALrCAAC0wgAAkEEAACjCAABIQgAAUMEAAKDCAACgQAAAcMEAANhBAAAQQQAAeMIAABxCAAAMQgAA8EEAAExCAABgwgAAqEEAAOBAAACAPyAAOBNACUh1UAEqjwIQABqAAgAAdL4AAFy-AACoPQAAUD0AAFC9AAAwPQAA-L0AALK-AAB0vgAAdD4AAOC8AADYvQAAML0AAPi9AACIvQAAcL0AAJi9AAAwvQAALD4AAO4-AAB_PwAA0j4AALi9AAAEvgAARL4AALi9AACoPQAA6L0AADy-AAB0PgAAMD0AAIg9AACgvAAAmj4AAIA7AABAvAAAkj4AAIK-AAA8vgAAqD0AALq-AAB0vgAATD4AAMg9AAAwPQAAUD0AAIi9AAD4PQAAiD0AADS-AAAcPgAAUL0AAPg9AAC6PgAALL4AABC9AAAzPwAAnr4AAAQ-AADIPQAADL4AAKg9AADYPQAApr4gADgTQAlIfFABKo8CEAEagAIAAHC9AAAwPQAAhr4AACm_AABkvgAAED0AAOg9AABwPQAAuL0AAIo-AAAEvgAAHL4AALi9AACIvQAAoLwAAPi9AAAcvgAABz8AAIK-AACaPgAAyL0AANi9AADIvQAAyL0AAFA9AADgvAAAyL0AABC9AAAMPgAAQDwAAHC9AAC4PQAA2L0AAAy-AABQvQAAyL0AAKo-AAAsPgAABL4AAJi9AAAMPgAAiL0AAAS-AAAQPQAA4LwAAOC8AAB_vwAADD4AAEC8AAAMPgAA6D0AADS-AABQPQAA2D0AAEA8AAAQPQAAQDwAABA9AAAQvQAABD4AACw-AABQPQAAgLsAAFC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=NFsO-dNoLmA","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["11069264787285687794"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1940349446"},"3716852748664010118":{"videoId":"3716852748664010118","docid":"34-0-6-ZF79C5DED8A3A0CF6","description":"Abstract Algebra (Mathematical Concept), Mathematics Education (Website Category), math, mathematics, algebra, modern algebra, sets, relation, equivalence relation, partition, prove, show, proof...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4237383/0c1b513a06df793f171cebef24f9185c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/L84iFwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dnw7I1Dkp6fI","linkTemplate":"/video/preview/3716852748664010118?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Partitions and Equivalence Relations","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=nw7I1Dkp6fI\",\"src\":\"serp\",\"rvb\":\"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_E4oDggQkAYAEKyqLARABGniB-vr6CwP9APf9CP37BP8BDQb_AvYAAAD1B_v-_wL_APYBFAEBAAAA__cAAwIAAAD1AQP78_8BABn7-QADAAAAG_b0Cf0AAAAWBv8A_gEAAPD7-wQDAAAAAgYFEgAAAAD7Gfz5AP8AAPsBDu4AAAAACwL0AQAAAAAgAC1gxss7OBNACUhOUAIqhAIQABrwAX_7EwGsIPr-DRzG_9Lx8AKS-g7_MTni_677GgHMFdgABB_hAM62Af0DAu4A3__v_yPs2v8g3OUAIRH7_x8bFP_rHRkAIbkcAB0FGwH5EPUA5hUG_g_r__8h_-AB_vP7_BUeEv0NEfj-9vTdBhfnKgI2OiECENUPBt3__f2-_BYB9_vfAP7n_P_xE_sC9_oT-8IB9wQNBQMC2RYDBBrz9fsq2PkDFQrkBBoh9gvy8_j3AOAGAiIP-PjqIRv-AigK9P7WFPbczgn3yvwNASa4DP3R2w8HEd379eTm6gcC2_nzFwL4AuQTCfTp0gcK9ujy6SAALVwwGzs4E0AJSGFQAirPBxAAGsAHKSDNvp2MAD2KQga9-g3TvZB4wzxscAe9gtS8veTclj38iyA9VNebPc-SkTyvuPY7tw2TvhtUEzwbtBy9xVWFPlQwb72bfyq8z8B4vpOBTbyItgi91oCCvXaHuTzycr28zbNNPUX9RL22Jbw80usFPWaDzLzVIgK9IZWivIZEkLxO3ra8fM6SvSYtprxxjXS81-rBPTfwlL0J6R88j0T5PF-mnL2iuAC8h6_lPPeENrzdoKy87LOUvGvV7ryL6PK8dWYsPaaLwzz_dKg8YCqsPMVOQjwpKrQ7db2Ovc5PUT2FkJg8Y0k0veRoDrwvjbq8u7upPZIkiL1yKFm6P28qvVFOdD0RSDK73WA4PimmXD3jGz46IpStvHRLoT3OwbM8AvPQPRQmZ7yMUCY7TYcOPoSFLr16rHS8KylhvcZ7Hz3QHY48LkwwPUL5sT3KVfm5U3nbPdbxDj0NRja8a4OuvMlILDzexou8hwRivTeuej3-Nnq80ZPSPX1F8bvoyau8LbgaPS2ZvroyHEA6M7vTvIQjrb3UDuc4yiUEPcO_hDsEJgk5ocaDPVyGybzH2yW8pRNJPcgyoz3uC8e7kx-8vb-Q37xQ4Qq8p3bmPVx8gLyCm5w7Wmq4vZs08jwVqwa8rrCqPFx8AD2rBsC705SjPXuOfj0B9eo7_mFrvefE3rxN1qi73_nlPU2UjLt5K-A6izHVPNdDJb2o44K6oI0sPsuuBb0gAg259iv4OfTvRDwrLJ868I7HvXSIj7t6Ime37nScPazizb0q_705qMNKPWZn0bwEt_W4XvhcvY2CuzymwVo3hOCnPQFoObwH1Gy5FJ2LvYl64b3GJ3A5mB_uPNu4arwRHMW4W2v_O4PAyry1KSo5lMZDveJM3TwPhpy4--22PRY8ez1GmAu5hXB2PVF2ST1mV4Q4dCEcPJSpjb3zwCc3Mk94PLT08rxnr5m4Ue6YvQU3bT1q9k04wJWJukRjd71e3BW4vyEZvTWguTx5V0k3wX3TvEYYML2AwUy4mh-UPaOvAD2wZM43kcQhvYsMrL3IJnw44WpzPWc9QT1l9um4bcX-vaLUPr0aL_S4ibbjvKyPh7wU2v04rzoVPPl_ejxyRjw4NPUKvt761bwMBK43sRUEPsb_-Dsy2VO4icK4vLyu37w_zpu26u6VPL6v3zsfBv034kYjvNyElrx3Q8C39nR6PeAP370_mZu3o3_6uzEkFz6M_VC3h9VJPUAv_D23qge5MQdBvVYeDTzX3602ZhxZvLZ7jr1WIsO3IAA4E0AJSG1QASpzEAAaYDH6AB38RMz8Fmbm3dbgD__uB7xF2gz_zfv_6Rz97SQM5cYGF_9JyvPzpAAAAAAAzxwKAP9_3PsbKSc17PPTERIhfdwOILXSKQSZCwDyAPg09zEAXgCf3aoLQaLUIu4yKCAALT2sFTs4E0AJSG9QAiqvBhAMGqAGAACoQQAAgkIAAGBCAAAgwQAArEIAAIRCAAC4QgAAAMIAAKjBAAAAAAAAYEEAAGjCAABwwQAAgD8AAGBBAACgwQAA8EEAAODBAACYQQAAGMIAADDCAADwwQAAUMIAAARCAAAwwgAAZMIAAODBAADCwgAAZEIAAKDAAABAwQAAEEIAANbCAADAQAAAmMIAAPDBAAAUQgAAqkIAAIC_AAAgQgAASEIAAEDCAACIQQAAJMIAAKBBAAD8wgAA6MEAAHRCAABgQgAA4EAAAIbCAAAUwgAAkMEAAKBAAAAAQgAAIEIAAPLCAAAwwQAAEMEAAHBBAAAwQgAAeMIAABTCAAAgwgAAJEIAABzCAAAcwgAAaMIAABDCAAB0wgAAtkIAAJJCAACUwgAAwMAAAGzCAADowQAAgD8AAIA_AACAPwAAwEAAADDCAACYQgAAQEAAACRCAACAQAAAAEIAACBBAABAwQAATEIAACDBAACgQQAAxEIAAJDBAABgQQAAOMIAAHDBAAAQQQAAkMEAAHRCAACAwAAAGMIAAIhBAABEQgAAoEAAAODAAADAQAAAiMEAAKDAAACwwQAAaEIAAHBBAABAQAAAcEEAAKDAAABEwgAADEIAAKDAAADYwQAAaMIAADDBAACowQAAVMIAADjCAAAAwQAAIEEAAPhBAAAgQQAAgEAAAEBBAADAQQAAGMIAAFjCAABAQQAAUEEAABzCAADgQQAAUEEAALBBAAAAwQAAiMEAAPhBAAAQQQAAGEIAAGzCAAAAQgAAoEEAADzCAABwQQAAEEEAABjCAADYwQAAMEIAACBCAAAwwQAAgEEAAGTCAADowQAAoEAAAFTCAADAQAAAAMIAADBBAAAAQgAAMMEAAIhBAACYwQAAEMEAAHhCAACoQQAAMMEAABDBAACwQQAAAMAAAITCAAAIwgAAgEAAAGhCAAD4wQAAFEIAAJhBAACawgAAoMIAAMDBAABAQAAAHEIAABBBAAAgwgAAgMAAAKBAAACgwAAAgMAAAEDCAADAQQAAkEEAAJBBAABQQgAA-MEAAOBAAAAgQQAAAAAgADgTQAlIdVABKo8CEAAagAIAACy-AABkPgAAUL0AADQ-AAAUvgAAND4AAFC9AAAFvwAA1r4AADw-AACSPgAAvr4AAIC7AACIPQAAcL0AADy-AAAEvgAAiL0AAGw-AAARPwAAfz8AAII-AACYPQAAdL4AAJq-AABQPQAAcL0AAOC8AACgPAAAqD0AAGw-AADgPAAAoLwAANg9AADYPQAAuL0AAFA9AACSvgAAkr4AAFC9AADqvgAAHL4AALI-AAAkvgAADL4AAKI-AADYPQAAZL4AABA9AACivgAAED0AACS-AACKPgAApj4AACy-AABwvQAASz8AALK-AACCPgAAVL4AACy-AACIvQAABD4AAIq-IAA4E0AJSHxQASqPAhABGoACAABQvQAAMD0AADS-AABBvwAAuL0AAIC7AAC4PQAAQLwAACS-AAC2PgAAyD0AAOA8AAAkvgAA-L0AABC9AABQvQAAVL4AADU_AACgvAAAnj4AAOC8AABMvgAA-D0AAFS-AAAMvgAA4DwAAIa-AAAQPQAAgLsAAJg9AAAQPQAAiD0AAEC8AAAQvQAAND4AAAy-AACOPgAAPD4AAAy-AACovQAAyj4AAOC8AABcvgAAgLsAALi9AABUPgAAf78AAES-AAC4PQAAUD0AADw-AACAOwAAfD4AAAw-AAAwPQAAoDwAAFC9AAAUvgAAiD0AAIi9AAAcPgAAfD4AAGS-AAC4vSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=nw7I1Dkp6fI","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3716852748664010118"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3041183930"},"8618923188949492414":{"videoId":"8618923188949492414","docid":"34-10-10-Z3CBF3C2225BBEA06","description":"Variable, Function (Literature Subject), Calculus (Field Of Study), Limit, Exponential Function, Math, mathematics, math, limit, function, calculus, AP Calculus, AB, BC, test, exam, practice...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4614461/8172fe615dda31ab1d205ff6739b0e96/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/JniUrQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DtmTGx0zsZmM","linkTemplate":"/video/preview/8618923188949492414?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Single-Variable Calculus 1) Limits of Exponential Functions","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=tmTGx0zsZmM\",\"src\":\"serp\",\"rvb\":\"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_E_UFggQkAYAEKyqLARABGniB-wPzBwAAAAP1-wkHCfwCDv35AQn-_wDq9QH8-f8BAPcBEwEBAAAA_Rn8BQMAAAAA-_EN-P4AAAj89f34AAAADAEMBPUAAAAXCfYI_gEAAO7-9PkCAAAAHQf5-v8AAAAJDv0FAQEAAP__-w0AAAAAEP0JBQAAAAAgAC2aTNQ7OBNACUhOUAIqhAIQABrwAX3LFf3jBNECitfEAcn_8gLJITEAGQ38_6DmyQC3HsgAuQQ_AQ4F9wAazdQAykFBAN7lsv8Yr0T_Larz_gbt8gHv4AIABR_5ACwaPwNK5-v-1zX5_w35DwAgyMIEWH_aByrrGvogJdz99CHoBhT9VAIo9xv8It8J_ui6JAT-_e4L9PWy_QccLwPJxw4A5B1OAfvi9f8SB-336OHo9tLh-vj90x_7BSLaB1v18P9GBxf7s939B_NB3fs4AhkCwgvC_NvBGPrdxfL0D-AV_AL1HfDkKvYBI-Dl-Rr77gwAEQj7_uLl_7HaAhLJ-eXxuM38-yAALWqe2zo4E0AJSGFQAirPBxAAGsAH36WsvvyTEz0Zfqa8txuOvav5y739AWW9-KgPvqfz1zzlXiC9pABxPuJx9jzKWa-7lXKIvXoasLwAJgA7y4AzPubRiL2YYjM8dXT8vS8Tmj0LAhC95_4qvl3L_zxIdCo8yTM0PTjoXL1QkDO8VFMCPtxLOr12zBC8yVfCvOYMAD1C7gK92dm2PdxGw70Lcba8lGdevAOgwLzFgxc9sV4bPRCknDyK9de8CiEQPJsPOb11b6i61jEzvY1S-Dw0P8i8YScrvLY0cj1aG3O6BbOovUe1Q712Yyu9-RSAvDZ0s7w9Cle8NuwyPQANBT3E0ju99GxpuWCrJL6AMoC7JjX0vX4DLj2rugI93WA4PimmXD3jGz46BZKWvcp9PLxx8vC7XD6tPPi7ob1EXVo8HzxkPT7jRz3QAdE73lq2PY8mDT2233M7kCQQvBDfoz2mYgM9X3CXPH0znDuyzoK8hI4MPR-CKryWlaa8r4EEO9qT-rtQWHu7PbUfPbhzZj12z3C8U7CGPLElNb32RaE7YGeEPfkRv709axI8e8mVvRgc77zbZHm8idPpPWifrT1fDIA4Wz6XPfikw72o1Dq7iBCnPRvWFL2uGbI7Dj4DPec6yL0vM2w8YEGFvU15_jz51Fa82L_GvMTeVTx_8TG8NwO3vPmuUj00ETa8N0TGvZqHor0c-Vo5MFCROeQ3sD05d547k6X7POj4aD0e5xG71ZUPPtTsRr3lRxm5Ls6DvWEIL72oqMq5iVaTO7CFqryKAZa7FbN0PUBgr72NYn44uCRmu-jhX71JcN44lInbvQndmj3vveg4KTWFvCQfxb3IGDA5VBv8vWK7-70T0_I5X9y8vdXiuLy0JVy3O7-dPeCHXjznV664ax7BvcSuor1Z-CI4KEQAvmsrtjy0wL64RprYPbIzAD3WC5A4LE1lPTdMuT1jxlS4DbAlvYpyIbrGli45vyAzvKwbzz1JDDQ19yn9PM0f0zxH7R04_ViXPdy3-j0dVsQ1dUc1vB3TST37LDK3_j-TPZvOaT1ltnQ3o4MEvZkcrbzcNCA3pivYPUaYAj2BRn-4-Pd-vVvFLD0YKb44PGrMvPKlZr369-W3zHvcPZLDcTycQoo3O-SGPThwgj1BUgE4raf2PbPqmLx7Ozq5XEkBvcre0r0XIgS5eTMUvWoslr1I6DC3kszqvYYhcjwUg5A4hhAhPVx3073e85u3yvRwPSLhKz7xy4o4-k_tOux1wTyL7aC4mA-Nvd0fhD2Mw9E35DmhvVLZIzpEHd-3IAA4E0AJSG1QASpzEAAaYDb4ACYDKdgAEDf39eb66NH2BdYSyjn_CbD_4CXOOxElsaYAEwAGASfbnAAAACMN1US2AP5_4BPpHAMS5pW37B8DWd_uIb_LGAqY2SwVH9Xb_uwoMQDDA6ohINytDCQNESAALb0_Fzs4E0AJSG9QAiqvBhAMGqAGAACiQgAAjsIAAJZCAAB4wgAAOMIAAKBBAABcQgAAPEIAADjCAACQwQAAUEEAAKDBAACYQQAAIMEAABBCAADgQQAAcEEAAPjBAABgwQAABMIAAJBBAACAQQAA-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_AABgwgAAoMEAAEzCAAD4wQAAIMIAAHBCAACQQQAA8EEAAOjBAAAAwQAAQEAAAHRCAACoQgAA6MEAAIBAAACAPwAADMIAAMDCAACgwQAAAEEAACDBAABgwQAAcEEAANhBAACuwgAAhsIAAFjCAADowQAAyEEAAATCAADowQAABMIAABBBAAAIQgAAEEEAAIC_AAAAwAAAGMIAACDCAACQwQAAQMAAAMDBAADIQQAAQMIgADgTQAlIdVABKo8CEAAagAIAAOA8AAAEvgAA2D0AAOA8AACoPQAA0j4AABC9AADSvgAANL4AADQ-AACgPAAAPL4AAPg9AABUPgAATL4AAEC8AAAsPgAAUD0AABA9AAC6PgAAfz8AADC9AABQvQAAmD0AAHC9AAAwPQAAJD4AAAQ-AAAQPQAAJD4AAMg9AACAuwAAZL4AAFA9AABUPgAAiL0AAIg9AABkvgAAbL4AAHS-AACuvgAADL4AAHw-AAAsvgAAED0AACy-AAAMvgAAmD0AAKi9AACovQAAuD0AAEC8AAD4PQAAZD4AALi9AABwvQAAJz8AAIi9AAB0PgAAJD4AAJg9AABwPQAABD4AAJi9IAA4E0AJSHxQASqPAhABGoACAACgvAAA4DwAAAy-AABHvwAAuL0AADA9AACePgAAiL0AAKi9AAC4PQAAJD4AAHC9AABwPQAAFL4AAGQ-AAC4vQAAUL0AABc_AAA8vgAAnj4AAHS-AADIvQAAcD0AABS-AADgPAAAyL0AALi9AACAuwAA2D0AAFC9AACAuwAAcD0AALK-AAAUvgAA-D0AAKC8AABQPQAAqD0AAGy-AADYvQAAcL0AAIA7AABMvgAAhj4AAPi9AABAPAAAf78AAKA8AADYPQAABD4AADA9AACgvAAAcL0AADQ-AACIvQAAiD0AAEA8AAAQvQAAMD0AABy-AAA0PgAAJD4AAIo-AAB8viAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=tmTGx0zsZmM","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8618923188949492414"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1190358375"},"8877203331032782455":{"videoId":"8877203331032782455","docid":"34-0-15-Z4A29AF9E578EF1A6","description":"Two interpretations are explored: as the slope of a tangent and as a rate of change.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4321728/875e0cf1de3a5013d45ab881c7ebe9d6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QEByVgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIHxbl8VyyD8","linkTemplate":"/video/preview/8877203331032782455?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Single-Variable Calculus 1) Interpretations of the Derivative at a Point","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=IHxbl8VyyD8\",\"src\":\"serp\",\"rvb\":\"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_E4EGggQkAYAEKyqLARABGniB-wH5CPwFAO8DBgYAA_8BDwgDCvYBAQD0-Ab__wH_AAH5APj6AQAABQ31CQUAAADyBe4J_gAAAA0N_f74AAAAEvkC__cAAAAOA_j-_gEAAPb__AwE_wAACAUEAQAAAAD_EP8D__8AAPcG_gkAAAAAAfwCEgAAAAAgAC2i1OE7OBNACUhOUAIqhAIQABrwAX_sIQHf9-kBzQLqAekc-gHHHRMA_TLUAMziEQG698kA4Q0CAPwA-f4e6e4Bziz-_yPs2f8DyRX_Od78ABPv_wD83gkAA94UAjoSLP8gAOb-3yMS_wTgDAAX2NQDDzn5_RzgBP72CuICD__VAxjmKwIGISsJDf0D_PHHB__d4v8D9_jI_isdAQPhy_f84vUuB_nDFwEPBQj01xPz_evaEPoI8Bf2DiXwBCULBw35CRP62vf-BvUA8_0oHP4B4fLqAefwGPnkB_z45eMJ-B7vBffjAPcFE-D5CiXv8gDoAvUJBOD5-rn9CQfY--z12_L1-SAALVTpGDs4E0AJSGFQAirPBxAAGsAHahbQvqyUGT1TDfe7RrYTvsG6i7303CK946C5vRxtizxeBSO8YvU3PoAwizzJkjk8eV3_vQVuXbynSQA8y4AzPubRiL2YYjM8cT1avucWvz2FTKi8RBhfvtRkZzulnT88yTM0PTjoXL1QkDO8VFMCPtxLOr12zBC8fh34vJxNRz2LQCu8KBMyPbBfK72xpz29-4qaPNoqd7zlrcQ8VmynPf8IwzzVUsq8L-u0PAkAKb3bXRa9EJSZu8griz3u5s68D_yOPfyMKz3fIPU8RCC9vbRgPb1b1Uc5aIBBvWuZsbz-nKO7JkCoPZCoKz1v0a68uavXvPO_pr0uqxC9-aAHvvQamz0vgYA73bQZPj0W0TwDYPq7ZDvEvRV1gTykC3u8GQ_Cu5dNhb3Azk08LP6lPOdAxT2paKw8pyqIPb_Cl7vb5nw8brYjvflYcD0JEsA8TR1aPWPNbbwkin-8sgN4POujuLwNz4G8jZuavXOVOD3s-4u8qnMWPQSeKj189MQ7Y59bPEzZjrqYGOY8xTVDPfhRDb4Jbyy7bamjvdnFPr3Hi7-7PRVGPeprpzx6BkO8Wz6XPfikw72o1Dq7eJxSuvc9IzrzO008Dj4DPec6yL0vM2w8pxaLvcVvLzw6rzE8_GVBvIXs2buHQjq8r2Z4vC03kj2eVQ870E8nvXeihL2h94Q6tGBYPc_56TzEL6s6J_SvPV9AlD2I2xa3aeTTPcnSvbxSsAa44gA_vcndjLzDqeY6XmAePEmUZ72iRh267nScPazizb0q_705pQWaO1k1YzzROuI5lInbvQndmj3vveg47nPju9KhiL3DIzw5y6LwvFtCHr43BeM5XVWhvQDcUTz0PMk43_X-PPj2Mz0xNmk5Ux6SvUobyL3hc5s31Q-lvfA6Fj0y2NK5t0ROPal7A7l7tyi4sGVoPUU3ET0AQ304LuI_u5KBEbzB-Nk4OtbaOzkPZz3UOd83URmKPUrUBr1qjKM4_ViXPdy3-j0dVsQ1e0AKvdVCyTwTpuc29kczPaY0cT0K7bG4b_YHvQIQd714-IE3v_PrPawucbxVzFI4WJ_MvaYuND2Dfyw51h-8PCU2RLzCQgg4m69tPTPinbxX5ps3eSQ5PVNBRTyRmD22weMrPtylaLwHiXS5uF2Tvc-rkL3adUS4iZ_7u2aBW71MZfC3MguzvRL-QD2ycrY3HeMMPGdG371pUBK4yvRwPSLhKz7xy4o4kqgcvUdVMz3mr3y4mA-Nvd0fhD2Mw9E3htlVvX4JCz2TYHA4IAA4E0AJSG1QASpzEAAaYBnoACLsFesRFDvk0e_0GgbQy9UW0Bj_-df_2yzOHhg716jxBgBHzSjRnwAAAP7x80feAAF_wuMEFRgm89fA1w4ictoHQaG7IxOo0iwE9OD3Hz88UQDMArQpILWyMw789SAALZPoEzs4E0AJSG9QAiqvBhAMGqAGAAB0QgAAAEAAANxCAACkwgAAoEAAAIBAAACgQgAAEEEAAFDBAACgwAAAQMEAAGDBAADwwQAAFMIAAADBAACAPwAA2EEAAATCAAAUQgAAuMEAAMDBAADYwQAA1sIAADRCAABEwgAAPMIAAODBAACUwgAA-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-MEAAOBBAAAAQQAAoEEAAETCAACQQQAAoEEAAADBAAAEwgAAAMEAALDBAAA4wgAA2EEAAJRCAABcQgAAKEIAAIDBAACAwgAAQMIAAAjCAABAwgAAMMIAAEhCAACgQQAAEEEAAEDAAACAPwAANMIAAMhCAACcQgAAAMIAAABBAABAwAAA4MAAAKjBAACgwQAABEIAAEBAAACAwAAAuEEAAOBAAACawgAANMIAAHBBAAAkwgAAgkIAAMDBAABUwgAAuMEAAMBAAABgQQAAmEIAABjCAAAgQQAAYEEAAABAAABoQgAAiMEAAIhBAACQQQAAAEEgADgTQAlIdVABKo8CEAAagAIAAPi9AACAOwAAUD0AAIg9AADgvAAA-D0AAOg9AAADvwAAlr4AACw-AACYvQAAqL0AAEC8AACGPgAABL4AAEC8AADYPQAAgDsAAIA7AABcPgAAfz8AADy-AADgPAAAoDwAANi9AAA0PgAAcD0AAOi9AACgPAAAND4AADA9AACYPQAARL4AAOC8AABEPgAAcD0AAFA9AACavgAADL4AAGS-AACevgAAyD0AAJI-AACgvAAANL4AAFC9AABAvAAAuD0AAJa-AACGvgAAED0AAKC8AABEPgAAFD4AAMi9AABQvQAABT8AAKg9AAA0PgAAED0AALg9AACgPAAAFD4AAHC9IAA4E0AJSHxQASqPAhABGoACAACAOwAADD4AAAS-AABHvwAATL4AAFC9AAA8PgAABL4AAFC9AAA0PgAAuD0AADS-AADoPQAAkr4AAOg9AAC4vQAAUD0AAPo-AACAOwAAvj4AACy-AADIPQAAuD0AAES-AABAvAAAmL0AAIC7AABwPQAAmL0AANi9AAAwPQAADD4AACy-AAAkvgAAyL0AANi9AACIPQAA3j4AAHy-AADovQAAQDwAAIg9AABEvgAAuD0AABC9AAC4PQAAf78AAFC9AACgPAAAdD4AADw-AACIvQAA4LwAAEQ-AADgvAAAMD0AAIC7AACIPQAAuL0AABy-AAAMPgAAJD4AAFQ-AAAcviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=IHxbl8VyyD8","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8877203331032782455"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3675491956"},"17317205462612845931":{"videoId":"17317205462612845931","docid":"34-11-5-Z7E888E00AB4A699A","description":"A procedure for writing the gcd of two numbers as a linear combination of the numbers is presented, along with an informal proof.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1346260/a2dad0e611929be237e8618654357288/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gWLd5gAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DA-_sOq8u-ug","linkTemplate":"/video/preview/17317205462612845931?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Linear Combinations","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=A-_sOq8u-ug\",\"src\":\"serp\",\"rvb\":\"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_4N_gIA-AEACvcG_gILAPv69wAAAPoG__QCBP4A_P8IAwEAAAAK_fj8AwAAAPb4___z_wEAFAP7BgQAAAAI-AAH_QAAAAkH9Pb_AQAA-wAC_QP_AAAG-_8TAAAAAP0O8Pv_AAAA_fkO-QAAAAAH_gb_-_T-ACAALY2P2js4E0AJSE5QAiqEAhAAGvABf-gOAMQJ3wABGAAA1A7oAY_6D__9MtMAyQIPAM0E-wHWHAYA1ubjAdf6EQDPIRMAEN7PABPeGP86yeb_C_noAfH_CgAiuB0AOxMs_-P45v_hATv-8tYF_grb6P_69N39-_wTAPDs1f4K67oJD_49AR_sJQLw_iQCAe4S_977_AL31vAC_QcCBBXzBPbh9S8H9_Dj_AAD-vjbQvAAGgf9-v7wBvX2KOsCKvAFBwX8-_6tAvwD3ureA_sgEvjOFOz9BfsT-tMT-vLv-gYMG-Dt9fDv_vAT4PkKIQPmBf7hAwbNEwH44xQJ9LMYCP4GBQH6IAAt0UIXOzgTQAlIYVACKs8HEAAawAcrhO2-NwvFO7NsubucAYm849SYvDjtbr3g4te8eLQQPNiTBrsglsI9CqMZvRAGnrw4aYq-0Qw9PO2ufTzFVYU-VDBvvZt_Krx6Fy--CDwwPSmf1LxFvPW9Z-jEPKy4J7z0Nja8nfqbvHEkq7wdAPE99dUVvfmeMb1vsQy9VlsbvVI4zLzcmwQ81JPevPztAb2mqIQ9TNiIPIEJnDwgB7o9gpE3vYiynLwgV1Q9OK4VPcYEyrqmEIO9HwAnPTMb_7x1Ziw9povDPP90qDzu0DC9WHqIvIsqz7tuU5e8WFN5Pbd547uWCmq9rpSKPal_NbzuZRE959mRPApXNLtRh9W9FQ5TPahZe7z9z7s9eLmIPasmiLwYPmK9drd8PRbfKzxDebo8t1I5vaygM7z0NOA9OJPAPXcCUDz-npi8YvgGvKuDVTt24Qe9KjKfPRm0azzPpK09YGQ4PObilLzKhMQ84wLrvHvEQzzp8NC9bHowPenzkbykLI09nRwVvHlskTtzxoY9wPiDPTiu87s9zc07-DuPvaiYOTyV3Dy9PPHBvUPp5rtjL589Jv-jPbhiNbxl8GE9aVHEvD90_zqTrhS9KJ4uvRBi37vDPps9E481vSUkEjwcfQy94WzpPBlrhzto9u88syodvfo0XbwgWHo8VHTkPOwq6rvxnmO9XXaOvYnVxrnaVQg-fN4wOlSdArv_dS49KtelvB09HzuBW_c9CEuWvfhf7jhUYaK8nP0BvczhxbrZhOq8L9QrvN39STrurw4-nxKRvX7QlDkK9wo9zwYqPfatvTmUidu9Cd2aPe-96Dg5WCk9COkpvNv1aTnLovC8W0IevjcF4zmvayW9k31GvH-lNrqv0wO9CBRau21ZHTk866K7VSlCvdM4vjikEb08KmmsOsZnZbgbi3w9NckZPW07grYB8qk6pmQUvePk2Tjdz-m8d-R-vL82tbhhZmm8Na0-PQDuibhfDRA9l2MIvfKlr7faVtM9IxmNPK8LUzdqiaU9G8WIPc-v0DeHU5E99F_GPaq5JDedDkc7d58DvkPejLeJ8Lo9wxGkPOeMoLjK4QO-ENcePJf9TjfhNLM83GF4vTj3qrfiHJo8BSK6vG47hLdqaAO9en1XvRqV_zfB4ys-3KVovAeJdLmJwri8vK7fvD_Om7YeKng7JQTrvSO_ZzjMmti847VhPZDfobfsA707fNQPvhf63Lgi_-w9NSkFPvN-W7jtxJs8RUnIPe5SCrn86gW9hrC1PFnKarcGlu08XBZdPH4g1DcgADgTQAlIbVABKnMQABpgCPcACPxC_jI0SOrz9fULwufnwy7tA__R4QALDfv5KxCvy-YFADD59uqxAAAABgXrD-AAB2q89BBCFgTn3sDGHBh_uxsgxPfy_bAaJybw2yYbLiFgAPL7piIs8dUNFw8tIAAtpfIkOzgTQAlIb1ACKq8GEAwaoAYAAERCAADQQQAA4EEAAIjBAACEQgAAvkIAAHxCAAA4wgAAoMEAAIDAAAAwQQAAgMAAABjCAAA0wgAAMEEAABRCAAAAAAAAmMIAAABCAACAwAAAwMEAADBBAADowQAAgEEAACBBAABowgAAIMEAAJTCAABAwQAAwEAAAIBBAAAkQgAAnsIAAMBAAAAowgAA2EEAAAzCAAAoQgAAPEIAAAhCAADYQQAACMIAAIBBAAAwwgAAgMAAAEDBAADQQQAAEEIAAIBCAACAvwAAgMEAABTCAACIQQAAAEAAAEBAAADwQQAA-MEAACDCAACAPwAAzkIAAMDBAABEwgAAAMAAACzCAABUQgAAisIAAMBAAAA4wgAAwMEAAIbCAABcQgAAZEIAAIjCAAAAQAAAMEEAAFDCAAAkwgAAjEIAAODBAAAEQgAABEIAAGRCAACuwgAA8MEAAKhBAACgQQAAKMIAAKBBAACgQAAA8MEAABjCAADWQgAAAMAAACBBAACgwAAA6MEAAIDBAAAgwQAAmEEAABzCAACIwQAAmMEAAEDBAABIQgAAkEEAAIRCAACgwAAAYMEAANBBAABoQgAAUEIAANDBAABQQQAAEEEAAJTCAAA0QgAASEIAADDBAAAwQQAAwEAAAJTCAAAkwgAAgMAAAIBBAACAwAAAQEAAAJxCAABQQQAAwMAAABRCAAAAwgAAOMIAABRCAADAQQAA4EAAANZCAADAwAAAsEEAAJjBAAAAwgAAIEIAAGDBAABAQgAAQMIAALBBAABoQgAA-MEAAIRCAADAQAAAMEIAAGzCAAAAwAAAYEEAABDBAABwwQAAPMIAAFzCAACwwQAARMIAAODBAADAwQAAMMEAABzCAABgQQAAgMEAAABBAACEwgAAIEIAACRCAAD4wQAAkEEAAMDBAAAwQgAAYMIAAARCAABwQQAA5EIAABzCAADQQQAAZMIAAKrCAAAAwQAAgMEAALDBAADIQQAAksIAABzCAAAQwQAAXEIAAIC_AABgQQAA4MEAAPBBAAC4QQAAQMAAAMBBAAAwwQAAZEIAADDBAABkQiAAOBNACUh1UAEqjwIQABqAAgAAkr4AAEy-AACovQAAjj4AAEw-AAAsvgAAED0AAPK-AAAxvwAAij4AAKA8AADivgAAiD0AAIA7AACGvgAABL4AACw-AACIPQAA3j4AAOo-AAB_PwAARD4AALi9AABkvgAAnr4AAGy-AADGPgAA6L0AAOi9AAC6PgAAlj4AAIC7AACovQAAvj4AABA9AABQvQAARD4AANq-AAD4vQAAuD0AADy-AACIvQAAhj4AAKi9AABQvQAA5j4AAHA9AABEvgAA2L0AAI6-AACWPgAAbL4AAJo-AAAwPQAALD4AAAy-AABxPwAAir4AADA9AACevgAAsr4AAMg9AAAsvgAAG78gADgTQAlIfFABKo8CEAEagAIAAFC9AACAuwAA1r4AAFe_AACSvgAAoDwAADw-AACAuwAAmL0AAHA9AAAwvQAAFL4AAPK-AABsvgAA4LwAADC9AABkvgAADz8AAIq-AABsPgAAiD0AAFS-AACovQAAMD0AABy-AAAQvQAA6r4AADA9AACGPgAAZL4AAIg9AABQPQAAcL0AACy-AAAUPgAAcD0AACE_AABAPAAAdL4AAFS-AACOPgAAUD0AAJa-AAAwPQAA6D0AAHQ-AAB_vwAAQDwAAII-AACgPAAAqD0AAAy-AABQPQAAJD4AAFC9AADoPQAA4LwAAHA9AABUPgAAyD0AADQ-AABUPgAAEL0AAJg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=A-_sOq8u-ug","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17317205462612845931"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"677420953"},"5021940908735289209":{"videoId":"5021940908735289209","docid":"34-7-11-Z3B1CDC95D0F01B1C","description":"The definition of an equivalence relation is given along with three examples.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4569353/da72cb97105811ad4e6ca55634072935/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/9E0BMgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Do-PhSZztHC0","linkTemplate":"/video/preview/5021940908735289209?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Definition of an Equivalence Relation","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=o-PhSZztHC0\",\"src\":\"serp\",\"rvb\":\"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_E_QDggQkAYAEKyqLARABGniBFfz7_gr0AO3-AQb3BP8B-AT_Aff9_AD7FvkD-QX-ANkJEwAD_gAA-O_-CvwAAADq9__x9AAAABsAA_4FAAAAHfXzCv0AAAAd_PUE_gEAAO4F-v0DAAAAAgYGFAAAAADyDfbyAP8AAPT5DP8AAAAABAf3-wAAAAAgAC15kLg7OBNACUhOUAIqhAIQABrwAX_6BAOvH_r-Jv3vAOAt_QCV-w7_MDfj_7P-AADF5fUAExgCAe7RBgHHGBYA1AwJAA_g0gAP2wUAN8zn_xHwEgAJIRwAM80PARwFGgHVAOP_ASAp_hLfGwAT897_9w4LAfEUFgDUDfEA8gTiAS_XJAEMBykDDAMVAeXfEv3uBPoC5fbb_RgOBwTt1e0AAS4eAfDa6v0BFAL6zh7t_wjx-P4a5f_99ibsAjr-EAL_8wP91wP9-_wB6QT8IhkK6hb6BRT3__zu5PL54wcPATfdAPjeDg3zCNL5AfIQ3QP22wD84u769wEOAPnQEBH7-_j58SAALa6gHzs4E0AJSGFQAirPBxAAGsAHK4TtvjcLxTuzbLm7THBKvYm41jqKsKy9zKWXvXGq9Tw9PJU8n9ajPSHw9jxF9py8tw2TvhtUEzwbtBy9xVWFPlQwb72bfyq8huMJvt8g9TysASq9FAdQvpN2fjyKmh69al0TPEZ8J70gcw67HQDxPfXVFb35njG9yi59vUnnrjvglx-9D1hDvT8ZY7xsiea8d4TDPRP7Orwyb5s7IAe6PYKRN72Ispy8PAThOpicQTvo4SG7t9WsO-fMMT3ZPgS9H6EmPZ6ekrxvkxk8xHk4vLJMv7uD-OE7K_vuvJnZIj1jrB88jX-fO6GOfT3_CS68XU4uPTED-rytd6w7-aAHvvQamz0vgYA73bQZPj0W0TwDYPq7ywajvYbVbj2m3Ng8Q3m6PLdSOb2soDO8FuzAPUqrSz1jYnO878ouPNgHgjvyiIC8JNENvJloKz1YkGY8x458PTAvwDsm2-W8NNk_PE67U72owVm8jZuavXOVOD3s-4u8PjK3PbmdxzzKZac4H1VjPSrJij0PNJU8cArrPEXvub32R-W5zvIGvZA4ir2cy0O8HW3BPTlpED0uBX-8ZfBhPWlRxLw_dP86x3lJvHVnmjrNGyu7pH29PXPJh70vyC87TQVGvWGq2TxHV2m7Ul8WPexqsrzhhzm86ezJPEwYzT1f6Jq5XRUNvUvdn7xBO_E73_nlPU2UjLt5K-A6U4YgPdYuebs_Ifm6aeTTPcnSvbxSsAa4KlkpvJtUVL1vHdI7xxFLvSBOlrzX6Au7qoKhPRoYmb1HSqA4s3iBPct-AjxRHL82Jmy0vWRA1j1cJhA4OVgpPQjpKbzb9Wk5y6LwvFtCHr43BeM5nDW4vP3SRzwvJHW68UZmPWh-EDxFZZ64_tc5vWiyHryryWG4o0cjvD10izxaUko5hXB2PVF2ST1mV4Q4omkBvCKkE70JrWK5oeWvvFRNFb21GDG46h4evcgXjj05yUc466RjPKKMor2_UmQ5p70XPWhOaD2GYDo5u89WPXslmj3WzBM43JQcPU6ilD26wIc3mgcQPd44yb0INPs2T9GsPcONCj2p3Im4IvsAvsZfJD0XmGU4k55xO9uZE72LC9o47BiyPHn8KLymXey3P9advFhrbb2O_Mw3kl0ZPtlPUL2swj-5wKRCPN8DT7xudCW4wyb9t7NDjL1Nig43IA3nvBUqDj0eLr42JtyQvBYwMb5BoFq5Iv_sPTUpBT7zflu4OaELvdEQhD3l09W4XIllvWQz0TynvaA3es5MvOhth7y6sZs3IAA4E0AJSG1QASpzEAAaYCn5ABv3Nt8GDnffAvraAO_l9spC3Qz_2ub_-BXr5_4Y4MUGEP9b4v7fqQAAAA35wBXQAAB7wOv0LSQI7vLi-QEGf-sMJLbWEtiP-RMt1dxS-1P6VADQ56UYO6zECv8hGyAALbBxFjs4E0AJSG9QAiqvBhAMGqAGAABIQgAAXEIAAGhCAAAMwgAApkIAAExCAADMQgAAQMEAAATCAADwQQAAwEEAAADCAADAwQAAUMEAAIBBAAAAQQAAyEEAADzCAAC4QQAAwMAAABjCAABwwgAAqMIAAAAAAAAQwgAAYMIAACDBAADIwgAAsEEAAEDAAABwwQAASEIAALrCAAAAwAAApsIAAMDAAAAYQgAArkIAAKDAAAAkQgAAHEIAAABAAACoQQAA8MEAABhCAADSwgAAMMEAAJBCAACEQgAAYEEAAEDCAABowgAAIEEAAABCAAAYQgAALEIAANrCAADAwAAAYMEAANBBAAC4QQAAjMIAAADCAABMwgAA4EEAAAzCAABQwQAA-MEAABDBAABEwgAAkkIAAMJCAABswgAAgEAAABjCAABAwQAAAMIAAEBAAAAgQQAAIEIAABTCAACsQgAAgMEAACRCAADgQAAAFEIAAIDAAAAcwgAAVEIAAAAAAAAwQQAApkIAAFDBAADoQQAAUMEAAIjBAAAAwQAAoMAAAChCAADgQQAACMIAAOhBAADQQQAAUEEAAAjCAACoQQAABMIAAKBAAACwwQAANEIAAABCAACwQQAAwEAAAKBAAAB8wgAADEIAABDBAAAkwgAAisIAAADCAAAgwgAAEMIAAEjCAAAAwQAAgD8AAJBBAACgQQAAGMIAAIBAAAAcQgAADMIAAJDCAADgQQAAmEEAAAjCAADIQQAAwEAAAKBBAACIwQAAIMIAAGBBAAAAQAAAIEIAAIzCAADQQQAALEIAADTCAACgQQAAEEEAAJjBAABYwgAAsEEAAFBCAACgQQAAEEEAAEDCAAA8wgAAsMEAAFzCAACAQAAAmMEAAMBAAAD4QQAAgL8AAMBAAACIwQAAAMIAAIJCAACgQQAAAAAAAIDBAAAgwQAAUEEAAJzCAAAIwgAAAMAAAIZCAADYwQAAFEIAAMDBAACKwgAAMMIAABDCAACAPwAAPEIAANjBAABcwgAAsMEAAKhBAAAwwQAAwEEAACTCAACQQQAAUEEAAABCAAAwQgAABMIAAPBBAAAAQAAAIEIgADgTQAlIdVABKo8CEAAagAIAANq-AAC4PQAAPL4AADw-AADovQAAqD0AABA9AAApvwAAR78AAOA8AACePgAAF78AAOA8AADgvAAAMD0AAL6-AAAEvgAAQLwAAMo-AAA5PwAAfz8AAO4-AABEPgAAbL4AAJ6-AADovQAAcD0AAGS-AAAQPQAATD4AAPo-AACevgAAiD0AABC9AAAEPgAABD4AADA9AAC-vgAAjr4AAFA9AACmvgAAxr4AAAU_AABUvgAAUL0AAPI-AABMPgAAOb8AADS-AABJvwAAur4AANi9AABMPgAAbD4AAEQ-AACYvQAAUz8AADS-AAAUPgAAoDwAAJi9AADYPQAAUD0AAIa-IAA4E0AJSHxQASqPAhABGoACAABMvgAA-D0AANa-AABpvwAArr4AAFC9AAAEPgAAmD0AAGS-AACmPgAA4DwAAIA7AACmvgAARL4AAFS-AADgvAAATL4AACc_AACSPgAA0j4AABA9AACovQAAuD0AABS-AACivgAAVL4AAJa-AADgPAAAuL0AAAy-AADIPQAAoDwAAMg9AADoPQAAVD4AANK-AADqPgAATD4AAHy-AABwvQAAsj4AABQ-AACuvgAAUL0AAAQ-AADGPgAAf78AAJq-AAD4PQAAUD0AANY-AAAcPgAA2j4AAIY-AAAQvQAAUD0AAOi9AACAOwAAjj4AAIq-AAB0PgAAAz8AANq-AAB0viAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=o-PhSZztHC0","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5021940908735289209"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2808520999"},"1353454338060423954":{"videoId":"1353454338060423954","docid":"34-1-0-Z066F7C5B0EA4E6FF","description":"An introduction to logic. In particular, the definition of a statement is given, along with some examples.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1608951/0f9f57fb99aca96ba04f75c2954c18c7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/3KE9LgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dzm88CPjjjKY","linkTemplate":"/video/preview/1353454338060423954?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Geometry) Definition of Statements","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=zm88CPjjjKY\",\"src\":\"serp\",\"rvb\":\"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_E4IBggQkAYAEKyqLARABGniB-ff8A_sFAOwH_gIBAQAA_Pf9Bvr-_QDkBf4BAPwCAP32BgMCAAAA_v_8BvYAAAD9AgH3Av4AAAYF_fv7AAAAFgT8_QMAAAAWBvb6_gEAAO_-9fkCAAAAAvcFBgAAAADxA_v6_v8AAP4J_wMAAAAADQUCAwAAAAAgAC3Od-M7OBNACUhOUAIqhAIQABrwAX8P-QC1HPv-OvDzAPwEBgGNHwn_NhrlANMK7ADGA-YADg7WAdvp5gEA4QwA5g4MAB_u3v8f6A__HhD8_0ANDQALASIAJfnzASYJ-AD6J9P_Gvbz_yv4IwEP7PwA-iEJ_wsPHf_I_esC-wvw_QAFFgL4BvkHEgsfAxQKCf7hGhIACOnt_yAD_gPXGwf_3RccAe_sAvoMBPT77dn5_fgm1f4O7vL-EffiAAr2_AsT3vz69_QH-x4N-fkgCgX_5BYgARLWEfoJDgH1z_wMASfXDwHw7wv87uUD7P8Z5gYC3_n08vEH8vMK_P3oCxf-9ggNBCAALW0DLTs4E0AJSGFQAirPBxAAGsAHdcsCv4RVKz2YQQa95AVCvdv7lD33Qpw8u9urvKUyID2T29s8K1H2PHO-2Dw6dHq8OGmKvtEMPTztrn08nUaCPn8WS7y-Esi8hzQqvp5pqD22cmW851Z4vgJaxLx4UhG6pAkqPX80F70mWDc9POmuPejUursTYGY6b4sIvUNHB7oj2Bi9qPxrvfYLtjwujFS9QqC5Pdt9GL24BP07GFodPmoHcbu0hRA8zvYNPXOL1Lzf0bG7uhGWvRk8CDy-fQc99z8QPhegbbyfSfI75YN5Pf-APTzgMFG88gP8O0FNCL2ziYK8Y15sPDsODT0tTuu8PDAAPoxZBb2jhZU7PhltvW8zUD2wY5I83bQZPj0W0TwDYPq7IpStvHRLoT3OwbM8Vu-COmtuOzwOgvE6Vkt1PUEalL2rRxS8wsLJvTqtW7x1eY48qJOHPFJDAL1woeE7v1paPHkXyT3DUAG8ml13vAIlCr1Syxy734jOvZIZOby2oU-6Q6kNPuiiAb78QYC6kYuQPYrR77pVK9k6CYSAO_N957xeQ5U8gCquPLjvLD0qHVK6rzSaPar0c723JCw8slt1PdxndT14BrK7kx-8vb-Q37xQ4Qq8wz6bPROPNb0lJBI89rXuPIdbUzu4x3M7s_4iPHN1Ub1XB4C8oMz1PHDKwTxvuI-73KiEvYc0Kr1fVpO7MIMRPkBEFD02jFu6BFRYvUZzCb2nUES7axRtPDyMpDsJHPe5Uov3vBJj_Lui4V472EMAPYZAyT1lHzW5eCm1vEq2Wr1o5_-51Qj9PL299TwirI65GO3xPG8ArLxK3Qm6PSzvPLh-MLzY1cS3ixSvvMDFVDzyu9y5OJ0pPfl2XDyERDG4tP63uhyELz0fo7i6_8cuPITZfz3j5625bnHovMH7rz1T7ry4QOPdPLWem70Wr7i2-j8sPRXrn72M2z43CKnAvASp1Lzr2Uc5-_ENvLhIcL03inE4wrS5vEyKn70GYHY4zq_BPEmTzD3fRIe4udCqu1yNLL0kpX24igU-vNrwmr1IKJY489r2vAj5yr1ah3u2iCjLu1osxbxzYTQ4Y6iEvWaZL73HPsk3Nov8vPvb77yS-4e4pVJHPGCBPr2_5tI3YVCmO3MyTL2il4u37R0_PYmDHzztiMa4yzg6OypcCj3rsIM3UbkOvely1Lw4_u82PiqZvA7Rjb0Gjfu37AO9O3zUD74X-ty4QstfPWMatz1ukI44BwunvL387j2DtB65mA-Nvd0fhD2Mw9E3XI5XvaIJ1L3fwiG3IAA4E0AJSG1QASpzEAAaYDfxAEjWH7jfBDzd--3TFgDLNv0VsOP_0gj_3SzHBOwZ5NTiEf9GqRIDoAAAADrz6jnDABV_yeT9MQb4DdHY3PICaPkXyuihH_-izBNUAb0ZFhghEAAN1pMRMxnOFiQO5iAALTXWFTs4E0AJSG9QAiqvBhAMGqAGAACwQQAAyMEAAIRCAABswgAAZEIAAEhCAACuQgAAqMEAAHDBAABAwAAAHEIAAKDBAACAvwAAEMEAAIRCAAAAwAAAAEAAAMBAAAAQwQAAEMIAAOBBAACQQQAAqEEAAKBBAADAwQAAYMIAADDCAADmwgAADEIAAARCAABEQgAAcEEAAGDBAABswgAAXMIAAADAAACYQQAA7EIAAODBAACAQgAAqMIAAEhCAACAQgAAPEIAAIA_AACAQQAAgMEAAHBBAAAkQgAAQEIAALTCAACAQAAAiEEAAADBAABUQgAAoEEAAMTCAABwwQAATMIAAAzCAACAvwAA4MAAABTCAACQwQAA4MAAAETCAACYwQAATMIAAIC_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-EEAAGhCAACwQQAAyEEAABBBAACYwQAA4MEAAKjBAACYwQAAAAAAAHhCAADwwQAAfEIAAEDAAAAUwgAAeMIAACRCAAB0QgAANEIAAEDCAABYwgAAUMEAAOBBAACwQQAAGMIAAFTCAACUQgAAMEEAAABAAACAPwAA8MEAACzCAACQwQAAiMEgADgTQAlIdVABKo8CEAAagAIAAIg9AADWvgAA4LwAAP4-AABAPAAAXD4AAEA8AADevgAA0r4AAKC8AAAwvQAAor4AAMg9AAC4PQAAPL4AAFS-AABQPQAAiD0AAOC8AADSPgAAfz8AAIA7AACYPQAAFL4AAKC8AAC4vQAAuD0AABC9AAB0PgAAij4AAOI-AACovQAAJL4AAEw-AABQvQAAJD4AALg9AADGvgAAHb8AACQ-AADYvQAA-r4AALo-AAAEvgAA4DwAAJg9AABAvAAAir4AABC9AAA0vgAAjr4AAHS-AAAkPgAAmD0AAIY-AAAwPQAAMz8AABy-AACovQAAwj4AABA9AACKvgAA2D0AAFA9IAA4E0AJSHxQASqPAhABGoACAABkvgAAML0AAK6-AABtvwAAuL0AAIA7AABwvQAAiL0AAOC8AABsPgAAUD0AAIi9AACoPQAADL4AAKA8AAAkvgAAgr4AACs_AACGPgAAwj4AAEA8AACYvQAAuj4AAHA9AABQvQAAir4AAKg9AADIPQAABD4AAAy-AADoPQAAmL0AAOA8AAB8PgAA-D0AAA2_AAAQPQAAUD0AAJa-AACePgAAcD0AACQ-AAAQvQAAoDwAABC9AABQvQAAf78AAI4-AABsPgAALD4AABy-AAAUvgAAyD0AALo-AAD4PQAAyD0AAIC7AABkPgAAQDwAAL6-AABwPQAAij4AAOC8AABcviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=zm88CPjjjKY","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1353454338060423954"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2098706433"},"17547225786261640043":{"videoId":"17547225786261640043","docid":"34-1-17-Z18E668AE16F0ED29","description":"Some examples using sigma notation and special sums. Also, a limit!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1783401/daab25b1ca3c94d7ae0c32f32c1985af/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/40D-WQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DnX4tgUX-HyU","linkTemplate":"/video/preview/17547225786261640043?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Single-Variable Calculus 1) Practice with Summation Notation","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=nX4tgUX-HyU\",\"src\":\"serp\",\"rvb\":\"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-vsH_wIA-vT_AgQF_gEM_vsI9___APD4_Qb_AQAA_wIG-f8BAAD6D_D_AwAAAPEA-QkBAAAADPf3_QMAAAAc8AIB-gAAAA378wv_AQAA9_kFDgT_AAAJCg0JAAAAAAcZ-___AAAA9vz8CQAAAAAMBgj6AAAAACAALSN_2Ds4E0AJSE5QAiqEAhAAGvABfwcNAPrX4wTMM8oA4wshApk0Kv_lKcz_sebw_5Hy4gDrSeYA-Q_qAeb8HQKqL_f_FtOpAyHe_QA76wD_JOLrAPHlAgAl8NwARRY0__4G5P_a_Bb-BL75ARvQywMSRPj8B-f5Ajwv2f_1NOcCKvs1AQT_TQEzAw_-26AqANbd_wQOAPf3BRv9BgDk-P7z3i8E978EASIL8PrF8dj9_eYMB_DyIPgJNc79G_7yAxoR3wLWxPkH9vsGD0oOI_7hFtoJ4t0i_7onBAQI-A0HHAsF-6QY6QUFAvAPKuQLD-4MBgQX1-kCy-8G9AP-9hDiHdnwIAAtXNEAOzgTQAlIYVACKs8HEAAawAdqFtC-rJQZPVMN97tTYBy9JELjvG-RBb08izm9chsIPceBHjo_c0Y-Du4zvZb5fTtoN4-9Jn7WPED8l7z9vXQ-klRLvQOx7Dx1dPy9LxOaPQsCEL39B7K9v63HO3sOE7x5Ey47YBrtu331J71UUwI-3Es6vXbMELxwLW47oyuHvLNWmbzcahk69RFYvRN8WL2UZ168A6DAvMWDFz2GZ1O8Tc_kunnA5btcEGA9AJdWvY5RqLzWMTO9jVL4PDQ_yLzwWc08rHKAO0bSbjwrbRG-JQXYuwGsxLxoor68KcoqvfYjybsPe4Y97LmRPTmhK71ik6k7cSrIvchqqbwNUyu-XLKmO2K6NbwbKps9WJ1GPd9ML7tXeNe9LFMCvTzRP7wqMj89kI_MvYxFmTu0yWE8FaePPf8WLjyJF5o91QIevCEUpbrDo2i9_k4JPWuU_zz081A908APvbuSrryXPSQ9QSvyO0_ClrsqWYm9JXQ4u6a1zLqJMxW9kKuXPYXy-Dvh4Qc92UXsvJFxFjzFNUM9-FENvglvLLv6WKa9y1CQvR2nrrvp5qy8z-KgPO-Z27tDqR0-H2rbvcSaqTmH5hW85ZqCPKpAUryl_0A82eqyvVOSN7rAy2y9ZUq1vG8WDDyasei9PjwLPeoKcLt9O667taXOPT5q4bqZNtK8vFrOvRicLzoFUXc8t0AHvfSVkzreHuQ9T8THPIhXIzlU-p49mug4vXhaTzjS8bK9J6g8vLfqnTrCKFI8qCA6vTv2nznhi8A8Ef_QvWQJwri7zu07U4UVPYJvv7epKJi9_fEDPctFfTiqfuW8IRK0POCmgzkKrrO9p6E8vSUYd7oDi8E5wZgjPSHL07hyE7m7Eo4PPSa3SroS9UK9IhjnvXga6je8woy9EYW_O_VCxLjLqdM8UGgfPG6Jorj-gvg8oUeMPObm8LigHwG9SSypPOsbWjkdwCw9IYi9vBewBDlar4M9AY_DvabRWjnOr8E8SZPMPd9Eh7jZpEy9gxJLvfosWLjBWJ89CxmePb0ZIzga5-U8XQ9rvbiwjTdlGaI95rtKvEQeczi9j-O9OGXOPThzkTgrH_g8J9uAPbKEwLjl8dS9COJhvR8zsbggSg08QzhGPQz4zDcfnwA-pOSQvRXoOrlbBZa8cAg1vTxFqLfxnYi9K7e-vXG80rfR3T-9rm6rPBKB17caejU9UoIZvZoOUrjK9HA9IuErPvHLijjsAY489ufHOxus87huA429J2muPb_3FjftiHm9B72tPGTFwDcgADgTQAlIbVABKnMQABpgIfoAGwA50_EYFeT12f8WtQDqz_3YEv_4zv_rLvwVDEak0AQLABbjDeSqAAAAIQDsUeAA8nPd8xIJ-fgZqqq3JAx_9fYWp80s5Lr-JwQG6g3y_Cs8AM3vyBz54J891wgLIAAtEYkfOzgTQAlIb1ACKq8GEAwaoAYAABxCAACowQAA_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-AAAEPgAAzj4AAFA9AAA8PgAAyL0AAP6-AAB0vgAAoj4AAPg9AABQPQAAPD4AACw-AACevgAAyL0AALo-AADIPQAAQLwAABE_AAB_PwAAqD0AAAS-AAA8PgAAFD4AAIg9AABMPgAAuD0AABA9AADoPQAAmD0AABC9AAA0vgAAgj4AAFA9AACYPQAAmD0AAHS-AAB0vgAAxr4AAHS-AADovQAAPD4AABS-AAAsvgAA6L0AAEC8AABQvQAAFL4AAGS-AAAkPgAAgDsAABw-AABsPgAAnr4AAAy-AABbPwAAiL0AAKg9AADoPQAAgLsAAIA7AAC4PQAAVL4gADgTQAlIfFABKo8CEAEagAIAAIA7AADgvAAAoLwAADG_AACYvQAA4DwAAJg9AAAwvQAAiL0AACw-AAAMPgAA2L0AADw-AAAwvQAA6D0AAOi9AACAOwAAHT8AANi9AABkPgAAiL0AAKi9AAAsPgAAHL4AALg9AADgvAAAqL0AABA9AAB8PgAAmD0AAIC7AADYPQAAir4AAAy-AADIPQAAoLwAAAw-AAA0PgAAFL4AAAy-AAAsPgAAQLwAACS-AAD4PQAAiL0AAOC8AAB_vwAAfD4AABw-AABEPgAAUD0AABS-AAAUvgAAhj4AAIA7AAC4PQAA4DwAABC9AADYvQAAcL0AABw-AAAwvQAAXD4AACy-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=nX4tgUX-HyU","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17547225786261640043"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2011794606"},"9333862855984325589":{"videoId":"9333862855984325589","docid":"34-3-15-Z3D64668188747796","description":"Let G be a group such that every element of G is equal to its own inverse. Show that G is abelian.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1649339/ecbe3d299bff4cfc3d0394089958d3f1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/jjKLVQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DG0zkM1-JI8M","linkTemplate":"/video/preview/9333862855984325589?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Basic Group Proof 2","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=G0zkM1-JI8M\",\"src\":\"serp\",\"rvb\":\"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_E-MBggQkAYAEKyqLARABGniBBPwHBAP9APv5BwgCCPwCEPL5AfYA_wDwAfcCCAH_AOsKAgb7AAAAAv0A-AIAAAD-_v3_-P4AABkLAw0EAAAAHwrzBv0AAAAGA_UB_wEAAOr2Av8DAAAAC_UBB_8AAADzDPfzAP8AAAECCQAAAAAACfUIAwAAAAAgAC3l8ss7OBNACUhOUAIqhAIQABrwAX_bAP21NfP__wUEAeEQCQGv-E3_QUvY_8oH9QKu7AUAxSgrADTm5ADFCx7_0vkQAAizyv_4wgIAIsvMAOri6wAYCgkBK6IlAFjsJv8LCwcA6icmAPXW5_4ey8YD6ATX_woCEf3-EOcB0g_JAhP-TwElESUC-RgH_Qj4OQXk_dQB5tTO_RMGBgDxtwQC2PI8CQ_AF_33EwoDvTP_-PwC5gTu8CP31kHl-RII7Qgl7AX2sg8ECuMIygT6KRj2yfD5BicfEAvnCgz44r30_1qsBfv5AvHxAZ_1AygZ4v4RuQ4F3_gD9PMZBeDTNQ0aEhvy7CAALRb76To4E0AJSGFQAirPBxAAGsAHY0Pvvg_Bp7zTgIM7HMg_vQnqjDuczC69PIs5vXIbCD3HgR46H_gYPp8cJb1ZYzq9dqU1vn0KW7yK0pg7xVWFPlQwb72bfyq8dXT8vS8Tmj0LAhC9_Qeyvb-txzt7DhO8uYZpud2D6zsp2DW8q02iPVTcHb0JdhK9XRe-vV2WpbySzVW9Twh8O3LSRb3fikS8zocMPSUyPbzMndM7U9CtPBbsEL0Sb_i8xQDoO9_mqLzf3x48phCDvR8AJz0zG_-84Z-tPJ_a6jx5qM-46LCxPO8vijuLlNy8uO13u-T-_jyGu8Q8uQC0vGVNkT1MrGe8OKGQPMxYmTxEi-y7d_UKvqCfLj1c-VG83bQZPj0W0TwDYPq7xmGqvatbnT3u1Jo7f2VKPb_R87z_zKC8APKEPYkrAj34Ky488QHnuWlKvDzayge8QVw9u2vUwz3EGwI8UFObPbaeBLyGrkS8RdTpPKjR2rycYKy7LPmTvWJgQjwPL6O8u9ToPdV5VDycpfc5bV0lPUiVNz2BfGQ8RVylPHO49r3kBDc8CkKDvWy_u70Mg-g7idPpPWifrT1fDIA4kWT2PWmjX7wAk5K7aebmu1hdorwjU5k7Y3XAPX1RDL1aZyI6mHx9vR7GZD3dUAK8_GVBvIXs2buHQjq8Qp--PFwxjT1He5M7MdBVvYuZTr3m-P45oYbPPaUX0juj6rK76zczPTFnUT3Gcfk6CY3APafbqL3frNq50ClIO5MtHL31B1I7YEKAvYBfaL0Kzmg5bQPXPbWj2L0Mn6855RnKPQ6J1jyzLMs4lInbvQndmj3vveg4HaKbPHm5ALv73Qo5qz2RvRpSFb4wUQo6Bz7rvA9YQ715vQK6mmpaO4cGGD2zP9Q6JdY4vRjMRL0fH8w5_Lf9Oksvf7tqCVm3sPOwPRPffTsTLJ-36iq4PHXkBTpgRFO49NhbvTJeTjx-7No4tRCJO4jgMz0asLS4TKgAPcfwnb3-7jA5Z9LmPALtMz3wSoM5m87pPNbyVD1Uyx64h1ORPfRfxj2quSQ3r9gZPPPalr1JWh-3ifC6PcMRpDznjKC4tJAQvtiMoj2ZewS3k55xO9uZE72LC9o47BiyPHn8KLymXey3GYMYvTaKkbzOh6g39wEoPnBh3b3xZ7-5icK4vLyu37w_zpu2wyb9t7NDjL1Nig435js4vagtfz3KEMiyBr-ovOZMlL0KymS3yvRwPSLhKz7xy4o47cSbPEVJyD3uUgq5-zcUvYnONz2vDY-3vUAfveudG7yDUDg3IAA4E0AJSG1QASpzEAAaYP79ADcIQ-T7E1bhGv4DI83B4Mr_0Ov_2yH_KC_33uvmzrL1Ff9D0-fepAAAAAkf3Dr_ACV_0-71JxISxQGawi4EU_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_AABgwgAAOEIAANjBAACawgAAGMIAANDBAAAoQgAADEIAAOjBAAAgQQAAuEEAACDBAABoQgAARMIAAPBBAACIQQAAqMEgADgTQAlIdVABKo8CEAAagAIAAAu_AADIvQAALL4AAIY-AABwPQAAoLwAANi9AAAPvwAA6r4AAMY-AADgvAAAXL4AAFC9AABwvQAAUL0AACy-AACgvAAAML0AAAM_AAAtPwAAfz8AANI-AACovQAA6r4AAMK-AADgvAAAMD0AAGy-AADqvgAA2D0AAFQ-AACAOwAAyD0AAI4-AAAwPQAA-L0AAIY-AACgPAAAXL4AAGQ-AABcvgAADD4AAKo-AAD4PQAAiD0AAGQ-AAAwPQAAML0AALY-AAA0vgAAED0AAIq-AAA0PgAABT8AACw-AACAOwAAJT8AAJa-AACIvQAA-D0AAJK-AACoPQAAcD0AAIq-IAA4E0AJSHxQASqPAhABGoACAAAEvgAA6D0AAM6-AAAxvwAAir4AAEA8AAB8PgAAEL0AAMi9AADuPgAAQDwAADC9AAA8vgAA2L0AAOi9AAC4vQAAfL4AAA8_AACSvgAAtj4AAKC8AAC4vQAA2L0AANi9AABQvQAAED0AAGy-AACYPQAAcD0AALi9AACgvAAAmD0AABy-AABEvgAAED0AAAS-AAAPPwAAFD4AAFy-AAA8vgAAPD4AANi9AABkvgAAgLsAANg9AAAkPgAAf78AAKC8AACIvQAAED0AAAQ-AACIvQAAuD0AABw-AABAvAAAiD0AABC9AAAQvQAAJD4AABw-AABEPgAA-D0AAEC8AABAvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=G0zkM1-JI8M","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["9333862855984325589"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3827707671"},"667339654612570579":{"videoId":"667339654612570579","docid":"34-1-1-ZDC0DE35D189A1FE2","description":"This video introduces the notion of congruence modulo n with several examples. In addition, congruence modulo n is shown to be an equivalence relation on the set of integers and the equivalence...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4520315/731810f7b36b922312501372ea6ace77/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/UdKNogAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWUSG7sI6YoU","linkTemplate":"/video/preview/667339654612570579?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"(Abstract Algebra 1) Congruence Modulo n","related_orig_text":"learnifyable","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"learnifyable\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WUSG7sI6YoU\",\"src\":\"serp\",\"rvb\":\"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--gj8BAD5AQAJ9wb-Au76-v77AP8A9An1CfwB_wDuAwUKBQAAAPT9A_0GAAAA8gAGAAAAAAAO_f4DBAAAAA38_Ab7AAAABwb_Av4BAAD9B_4GA_8AAAcOAgoAAAAA-xf8-QD_AAAG_Qz_AAAAAAPxAAUAAQAAIAAtdR3gOzgTQAlITlACKoQCEAAa8AF_9P8Awyv2_wfz2wDII_cAqg0c__w10QCp-hwBpBPm_-07B__t7uQA4xIlAdH__f9B9cn__-MHADzc_AAW8vAADRgFABPGAwA9Ey7__gXo_98iLv0E3g0AK-DXAt0h7P8g8BT88Qr5_g__0wMP_j8BDQgtBBYNJQTo9Rj-__0GBvzl3f0J8foA4-gPAff0Jv7v0vgBBxP0Asop__n0DvH7_t4Y_AQa4wUg8fYGJQMA_sL7AwHz6eIJAwkcA9Ag9wfm7xn48uAB79jrGP9IvQT84NwD9RvR-BL_HuEIC94L-wgF-QnsAQH25hAHFg8V9PAgAC2kNxE7OBNACUhhUAIqzwcQABrAB0rU677KQFQ8Ja6jPBzIP70J6ow7nMwuveOgub0cbYs8XgUjvLw_jj3dkyg7ieApvfaWYr4FeIE8eT8NvHKnrD4tJWu94Uh7vHV0_L0vE5o9CwIQvabUBb4_TKm6BWaqvF8_6Tw355q7I6y8vB0A8T311RW9-Z4xvbOudr3rPfC8IIAvvQ9YQ70_GWO8bInmvKVUnT1Klku6Xf1YulPQrTwW7BC9Em_4vD9PizvqktA7RU2PPGsRsb3HyMg8HxHTvFpHNT2Dxqe7yIPjPDFCGL3C-v88Ma-IvGiAQb1rmbG8_pyju-ITH7zo__A86M4dvbxabj23i7w6duWvO7HhSb4ukvY8TwidPOyG7T2M94M9cluRO9zvhb3dCfY9yJ3run9lSj2_0fO8_8ygvH0TmT0PcBS7Sj-jO991ETt4DC891Q8APW1eCz2JTXo9EGIhOysD_TzNtxm9tm8JvEXU6Tyo0dq8nGCsuycHrb0XVmC89Pt-vBEqsj0aICg7elASu2PUtTxOojk97D1ZuXAK6zxF77m99kfluWMqfbyjRcy9hypGvHsNlj1kvm09y6vGugH8vj15HVY9CqDtOecWH72NR6m8-QOzur4KWj3XJ8q8RQdqO9n1sb1IRym6IzAZumQntDsnUyI7voFuvF8gTT373Ho9h5fUO-cH5Lxol4-9mbUYu6MNxj2Wr8s6YG69OyAI9Tz0puQ7FDCRu1T6nj2a6Di9eFpPOJUMAL1XX1i9M1NzOPRTh71H_G07M9gQuqGd0z1RgZi9l51RORhVkD14izE9YMQSOYs8tL19NVE9OB8YOOZcijxtG4Y8e3taOas9kb0aUhW-MFEKOicyc7yr2Ry8fIMKuxStAT0EwJ08KvCjuBVwD73dggC9lT9suS3uPz08BVo63xHluNWW2j3ELys8QvA0OHQhHDyUqY2988AnNw8WBL1ceBo8zK5duJWabDlmpDm89R7bOOy5r7vFwZq9E4B2OX2AyTtrZm09mnjhOC-zWT3h9fQ6QROwt4dTkT30X8Y9qrkkN95Z-zzY8Z-9GA2XOE_RrD3DjQo9qdyJuL2P4704Zc49OHOROJwerzwppfG8TE_qt84lCzy7ZWK8gbyZto0ivznTuUe8qTcaOJJdGT7ZT1C9rMI_uawbT71wAGK9cfqiuHX19LxZ3eq9DSPxNY5EwzyUZ3495oOMNh3jDDxnRt-9aVASuCL_7D01KQU-835buJe7A7zS08E9UWrJuPs3FL2Jzjc9rw2Pt81nb70h9CK9o1DStyAAOBNACUhtUAEqcxAAGmAc_QAHB0X77SFM5eX82grH6PjHQ-7z_90X__8K-_gk5eHC9AD_GPLy9LEAAAACHsEZ7QAYZ7MF6SIJCPcEyfQ7MH_pHyXH3gD0v_A0Mub6IfEX5ksAy-mv7zXc2yEYPTAgAC2pZis7OBNACUhvUAIqrwYQDBqgBgAAGEIAAIBBAACuQgAAeMIAAIBBAABwQQAApEIAAHDBAAD4wQAAAEEAAFhCAAAgwgAAMMEAAMBBAADQwQAA2EEAAEBCAAA8wgAAgEEAAOBAAACIwgAAKMIAALbCAABkQgAAZMIAAITCAABAwAAAYMIAAOBAAADQwQAAcMEAAIZCAACgwgAAQMAAAKjCAAC4QQAAiEEAAGhCAAD4wQAAEEEAABxCAAAQwQAAiEEAAATCAAAMQgAAvsIAAKBAAAAMQgAATEIAAIhBAAAEwgAA8MEAACDBAACIQgAADEIAAPBBAAC-wgAAAAAAAKhBAAAcQgAAaEIAAIbCAAA8wgAAIMEAAFBCAAAYwgAAoMEAAKDBAAAQwQAAAMIAAKpCAACaQgAAaMIAAMhBAAAQwgAAYEEAAKDBAAAUwgAAwEEAAEhCAAC4wQAAdEIAANDBAABAQQAAgL8AAJpCAAAgwQAANMIAAIRCAACIwQAAOMIAAIJCAACAwgAAbEIAAFBBAAAEwgAACMIAALhBAAD4QQAA-EEAANjBAAAgwQAAVEIAAAAAAAAYwgAA-EEAAKDAAAAAQQAAQEEAAKBCAAAQQgAAcEEAAIC_AADwQQAA6MEAAFRCAACYQQAAsMEAAIrCAACgwQAANMIAAAjCAADgQAAAUEEAAKjBAACYQQAAAAAAAATCAADgwAAAqEEAALDBAACWwgAA6EEAANhBAAAYwgAAcEIAAMjBAABIQgAA-MEAANjBAACgQQAA2MEAAKBAAACWwgAA2EEAAOhBAADowQAA0EEAAFDBAABwQQAAcMIAADxCAAC4QQAA4EEAADBBAAAMwgAAPMIAAPjBAABMwgAAoMAAAODBAAAgQQAASEIAAADBAACgwAAA6MEAAFTCAACoQgAAEEIAAIhBAAAgwQAAgEAAABTCAACOwgAAmMEAAFBCAAAgQQAA6MEAAEhCAADgwAAAlMIAAAjCAADgwAAAEMIAALhBAADwwQAAfMIAADzCAAAgQQAA4MAAAAhCAABQwQAAUEEAAODAAACYQQAADEIAAMBAAAAoQgAAuEEAACBCIAA4E0AJSHVQASqPAhAAGoACAAA0vgAAHD4AAEC8AADIPQAAuL0AAKC8AABQvQAA2r4AAOa-AADKPgAAJD4AACS-AADIPQAABD4AALg9AABsvgAADD4AAKC8AAAkPgAAIT8AAH8_AACKPgAAXL4AANi9AABAvAAAEL0AAHA9AABkvgAAFL4AAGQ-AAAQPQAAEL0AAHC9AABAPAAAwj4AAL6-AADIPQAANL4AAAS-AAAwvQAAhr4AAKC8AAAMPgAAQLwAAIi9AADSPgAAiD0AAOi9AAAUvgAAir4AAMi9AABAPAAAqj4AAJo-AAA0vgAAoDwAAFE_AACSvgAABz8AAFA9AABQvQAAbD4AAOC8AACqviAAOBNACUh8UAEqjwIQARqAAgAAcL0AAIo-AACyvgAAD78AALi9AAAQPQAARD4AABC9AAD4vQAA5j4AAPi9AAAQvQAAbL4AAHS-AAC4vQAAoLwAALi9AAAdPwAAJL4AAJY-AADgPAAAmL0AAFA9AADgvAAAPL4AADA9AAB8vgAADD4AAOA8AAAMvgAA4DwAACQ-AACYvQAAFL4AABy-AADgPAAAKz8AAJo-AADYvQAArr4AAL4-AABwvQAAmr4AAKi9AACaPgAA3j4AAH-_AAC2vgAAED0AAIo-AAC2PgAAEL0AACQ-AABwPQAA4LwAALg9AABwvQAA-L0AACw-AAB0PgAALD4AAIo-AABcvgAAiL0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=WUSG7sI6YoU","parent-reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["667339654612570579"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1577449108"}},"dups":{"7420466024811594485":{"videoId":"7420466024811594485","title":"(Geometry) Conditionals","cleanTitle":"(Geometry) Conditionals","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FSgrQHhl8ww","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FSgrQHhl8ww?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":365,"text":"6:05","a11yText":"Süre 6 dakika 5 saniye","shortText":"6 dk."},"date":"16 eyl 2014","modifyTime":1410825600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FSgrQHhl8ww?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FSgrQHhl8ww","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":365},"parentClipId":"7420466024811594485","href":"/preview/7420466024811594485?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/7420466024811594485?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3857651958411209056":{"videoId":"3857651958411209056","title":"(Abstract Algebra 1) Euclid's Lemma","cleanTitle":"(Abstract Algebra 1) Euclid's Lemma","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uQ6KSt94jVY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uQ6KSt94jVY?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":758,"text":"12:38","a11yText":"Süre 12 dakika 38 saniye","shortText":"12 dk."},"views":{"text":"30,4bin","a11yText":"30,4 bin izleme"},"date":"10 kas 2014","modifyTime":1415577600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uQ6KSt94jVY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uQ6KSt94jVY","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":758},"parentClipId":"3857651958411209056","href":"/preview/3857651958411209056?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/3857651958411209056?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15472314116405589868":{"videoId":"15472314116405589868","title":"(Abstract Algebra 1) The Center of a Group","cleanTitle":"(Abstract Algebra 1) The Center of a Group","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=hduYI_9DqvU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/hduYI_9DqvU?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":958,"text":"15:58","a11yText":"Süre 15 dakika 58 saniye","shortText":"15 dk."},"views":{"text":"61,6bin","a11yText":"61,6 bin izleme"},"date":"14 ağu 2014","modifyTime":1407974400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/hduYI_9DqvU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=hduYI_9DqvU","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":958},"parentClipId":"15472314116405589868","href":"/preview/15472314116405589868?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/15472314116405589868?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9543538916776076722":{"videoId":"9543538916776076722","title":"(Abstract Algebra 1) Equivalence Classes","cleanTitle":"(Abstract Algebra 1) Equivalence Classes","host":{"title":"YouTube","href":"http://www.youtube.com/live/8rkdpUIgTgE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8rkdpUIgTgE?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":664,"text":"11:04","a11yText":"Süre 11 dakika 4 saniye","shortText":"11 dk."},"views":{"text":"123,8bin","a11yText":"123,8 bin izleme"},"date":"7 ara 2013","modifyTime":1386374400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8rkdpUIgTgE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8rkdpUIgTgE","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":664},"parentClipId":"9543538916776076722","href":"/preview/9543538916776076722?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/9543538916776076722?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7011044138322999796":{"videoId":"7011044138322999796","title":"(Geometry) Open and Closed Sentences","cleanTitle":"(Geometry) Open and Closed Sentences","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0AatzNhr03o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0AatzNhr03o?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":141,"text":"2:21","a11yText":"Süre 2 dakika 21 saniye","shortText":"2 dk."},"views":{"text":"2,2bin","a11yText":"2,2 bin izleme"},"date":"16 mayıs 2014","modifyTime":1400198400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0AatzNhr03o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0AatzNhr03o","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":141},"parentClipId":"7011044138322999796","href":"/preview/7011044138322999796?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/7011044138322999796?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5142256226846372584":{"videoId":"5142256226846372584","title":"(Abstract Algebra 1) The Identity Function","cleanTitle":"(Abstract Algebra 1) The Identity Function","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=L8Ht3gI7bOc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/L8Ht3gI7bOc?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":328,"text":"5:28","a11yText":"Süre 5 dakika 28 saniye","shortText":"5 dk."},"views":{"text":"39,4bin","a11yText":"39,4 bin izleme"},"date":"8 oca 2014","modifyTime":1389139200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/L8Ht3gI7bOc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=L8Ht3gI7bOc","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":328},"parentClipId":"5142256226846372584","href":"/preview/5142256226846372584?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/5142256226846372584?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14841494246850838930":{"videoId":"14841494246850838930","title":"Introduction to Groups 5","cleanTitle":"Introduction to Groups 5","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JaSJt3e6Pm0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JaSJt3e6Pm0?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":327,"text":"5:27","a11yText":"Süre 5 dakika 27 saniye","shortText":"5 dk."},"date":"8 kas 2023","modifyTime":1699401600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JaSJt3e6Pm0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JaSJt3e6Pm0","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":327},"parentClipId":"14841494246850838930","href":"/preview/14841494246850838930?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/14841494246850838930?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15212499826442881285":{"videoId":"15212499826442881285","title":"Introduction to Groups 6","cleanTitle":"Introduction to Groups 6","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Z-ij-TzHafM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Z-ij-TzHafM?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":259,"text":"4:19","a11yText":"Süre 4 dakika 19 saniye","shortText":"4 dk."},"date":"10 kas 2023","modifyTime":1699574400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Z-ij-TzHafM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Z-ij-TzHafM","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":259},"parentClipId":"15212499826442881285","href":"/preview/15212499826442881285?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/15212499826442881285?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11069264787285687794":{"videoId":"11069264787285687794","title":"(Abstract Algebra 1) Basic Group Proof 1","cleanTitle":"(Abstract Algebra 1) Basic Group Proof 1","host":{"title":"YouTube","href":"http://www.youtube.com/live/NFsO-dNoLmA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NFsO-dNoLmA?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/user/learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":277,"text":"4:37","a11yText":"Süre 4 dakika 37 saniye","shortText":"4 dk."},"views":{"text":"43,9bin","a11yText":"43,9 bin izleme"},"date":"25 eyl 2013","modifyTime":1380067200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NFsO-dNoLmA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NFsO-dNoLmA","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":277},"parentClipId":"11069264787285687794","href":"/preview/11069264787285687794?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/11069264787285687794?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3716852748664010118":{"videoId":"3716852748664010118","title":"(Abstract Algebra 1) Partitions and Equivalence Relations","cleanTitle":"(Abstract Algebra 1) Partitions and Equivalence Relations","host":{"title":"YouTube","href":"http://www.youtube.com/live/nw7I1Dkp6fI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/nw7I1Dkp6fI?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":394,"text":"6:34","a11yText":"Süre 6 dakika 34 saniye","shortText":"6 dk."},"views":{"text":"68,4bin","a11yText":"68,4 bin izleme"},"date":"9 ara 2013","modifyTime":1386547200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/nw7I1Dkp6fI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=nw7I1Dkp6fI","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":394},"parentClipId":"3716852748664010118","href":"/preview/3716852748664010118?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/3716852748664010118?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8618923188949492414":{"videoId":"8618923188949492414","title":"(Single-Variable Calculus 1) Limits of Exponential Functions","cleanTitle":"(Single-Variable Calculus 1) Limits of Exponential Functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=tmTGx0zsZmM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/tmTGx0zsZmM?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":757,"text":"12:37","a11yText":"Süre 12 dakika 37 saniye","shortText":"12 dk."},"views":{"text":"40,8bin","a11yText":"40,8 bin izleme"},"date":"21 oca 2015","modifyTime":1421798400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/tmTGx0zsZmM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=tmTGx0zsZmM","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":757},"parentClipId":"8618923188949492414","href":"/preview/8618923188949492414?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/8618923188949492414?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8877203331032782455":{"videoId":"8877203331032782455","title":"(Single-Variable Calculus 1) Interpretations of the Derivative at a Point","cleanTitle":"(Single-Variable Calculus 1) Interpretations of the Derivative at a Point","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=IHxbl8VyyD8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/IHxbl8VyyD8?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"https://www.youtube.com/channel/UCD3iLppPpQYyyDEcSlsNdOw","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":769,"text":"12:49","a11yText":"Süre 12 dakika 49 saniye","shortText":"12 dk."},"date":"28 ağu 2015","modifyTime":1440720000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/IHxbl8VyyD8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=IHxbl8VyyD8","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":769},"parentClipId":"8877203331032782455","href":"/preview/8877203331032782455?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/8877203331032782455?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17317205462612845931":{"videoId":"17317205462612845931","title":"(Abstract Algebra 1) Linear Combinations","cleanTitle":"(Abstract Algebra 1) Linear Combinations","host":{"title":"YouTube","href":"http://www.youtube.com/live/A-_sOq8u-ug","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/A-_sOq8u-ug?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":777,"text":"12:57","a11yText":"Süre 12 dakika 57 saniye","shortText":"12 dk."},"views":{"text":"20,4bin","a11yText":"20,4 bin izleme"},"date":"23 eki 2014","modifyTime":1414022400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/A-_sOq8u-ug?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=A-_sOq8u-ug","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":777},"parentClipId":"17317205462612845931","href":"/preview/17317205462612845931?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/17317205462612845931?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5021940908735289209":{"videoId":"5021940908735289209","title":"(Abstract Algebra 1) Definition of an Equivalence Relation","cleanTitle":"(Abstract Algebra 1) Definition of an Equivalence Relation","host":{"title":"YouTube","href":"http://www.youtube.com/v/o-PhSZztHC0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/o-PhSZztHC0?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":500,"text":"8:20","a11yText":"Süre 8 dakika 20 saniye","shortText":"8 dk."},"views":{"text":"78,5bin","a11yText":"78,5 bin izleme"},"date":"6 ara 2013","modifyTime":1386288000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/o-PhSZztHC0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=o-PhSZztHC0","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":500},"parentClipId":"5021940908735289209","href":"/preview/5021940908735289209?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/5021940908735289209?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1353454338060423954":{"videoId":"1353454338060423954","title":"(Geometry) Definition of Statements","cleanTitle":"(Geometry) Definition of Statements","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=zm88CPjjjKY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/zm88CPjjjKY?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":130,"text":"2:10","a11yText":"Süre 2 dakika 10 saniye","shortText":"2 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"14 mayıs 2014","modifyTime":1400025600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/zm88CPjjjKY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=zm88CPjjjKY","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":130},"parentClipId":"1353454338060423954","href":"/preview/1353454338060423954?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/1353454338060423954?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17547225786261640043":{"videoId":"17547225786261640043","title":"(Single-Variable Calculus 1) Practice with Summation Notation","cleanTitle":"(Single-Variable Calculus 1) Practice with Summation Notation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=nX4tgUX-HyU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/nX4tgUX-HyU?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":881,"text":"14:41","a11yText":"Süre 14 dakika 41 saniye","shortText":"14 dk."},"views":{"text":"2,8bin","a11yText":"2,8 bin izleme"},"date":"3 tem 2014","modifyTime":1404345600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/nX4tgUX-HyU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=nX4tgUX-HyU","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":881},"parentClipId":"17547225786261640043","href":"/preview/17547225786261640043?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/17547225786261640043?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9333862855984325589":{"videoId":"9333862855984325589","title":"(Abstract Algebra 1) Basic Group Proof 2","cleanTitle":"(Abstract Algebra 1) Basic Group Proof 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=G0zkM1-JI8M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/G0zkM1-JI8M?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":227,"text":"3:47","a11yText":"Süre 3 dakika 47 saniye","shortText":"3 dk."},"views":{"text":"25,5bin","a11yText":"25,5 bin izleme"},"date":"25 eyl 2013","modifyTime":1380067200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/G0zkM1-JI8M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=G0zkM1-JI8M","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":227},"parentClipId":"9333862855984325589","href":"/preview/9333862855984325589?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/9333862855984325589?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"667339654612570579":{"videoId":"667339654612570579","title":"(Abstract Algebra 1) Congruence Modulo n","cleanTitle":"(Abstract Algebra 1) Congruence Modulo n","host":{"title":"YouTube","href":"http://www.youtube.com/v/WUSG7sI6YoU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WUSG7sI6YoU?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":"d3d3LnlvdXR1YmUuY29tO1VDRDNpTHBwUHBRWXl5REVjU2xzTmRPdw==","name":"learnifyable","isVerified":false,"subscribersCount":0,"url":"/video/search?text=learnifyable","origUrl":"http://www.youtube.com/@learnifyable","a11yText":"learnifyable. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":910,"text":"15:10","a11yText":"Süre 15 dakika 10 saniye","shortText":"15 dk."},"views":{"text":"144,2bin","a11yText":"144,2 bin izleme"},"date":"21 şub 2015","modifyTime":1424476800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WUSG7sI6YoU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WUSG7sI6YoU","reqid":"1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL","duration":910},"parentClipId":"667339654612570579","href":"/preview/667339654612570579?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","rawHref":"/video/preview/667339654612570579?parent-reqid=1773742647453285-14249849947979976101-balancer-l7leveler-kubr-yp-klg-103-BAL&text=learnifyable","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"2498499479799761017103","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":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"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":"learnifyable","queryUriEscaped":"learnifyable","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"}}}