{"pages":{"search":{"query":"mathkeep","originalQuery":"mathkeep","serpid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","parentReqid":"","serpItems":[{"id":"12244364796073570175-0-0","type":"videoSnippet","props":{"videoId":"12244364796073570175"},"curPage":0},{"id":"10152830470014759263-0-1","type":"videoSnippet","props":{"videoId":"10152830470014759263"},"curPage":0},{"id":"11282776617723500526-0-2","type":"videoSnippet","props":{"videoId":"11282776617723500526"},"curPage":0},{"id":"1719932679614654148-0-3","type":"videoSnippet","props":{"videoId":"1719932679614654148"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dG1hdGhrZWVwCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","ui":"desktop","yuid":"5791269051769416510"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"5793957137880115035-0-5","type":"videoSnippet","props":{"videoId":"5793957137880115035"},"curPage":0},{"id":"15019480311143563589-0-6","type":"videoSnippet","props":{"videoId":"15019480311143563589"},"curPage":0},{"id":"3219824300707228821-0-7","type":"videoSnippet","props":{"videoId":"3219824300707228821"},"curPage":0},{"id":"6584806287041640540-0-8","type":"videoSnippet","props":{"videoId":"6584806287041640540"},"curPage":0},{"id":"14166941305576443377-0-9","type":"videoSnippet","props":{"videoId":"14166941305576443377"},"curPage":0},{"id":"16766147915715974681-0-10","type":"videoSnippet","props":{"videoId":"16766147915715974681"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dG1hdGhrZWVwCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","ui":"desktop","yuid":"5791269051769416510"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"929589527320918630-0-12","type":"videoSnippet","props":{"videoId":"929589527320918630"},"curPage":0},{"id":"9675994748748149940-0-13","type":"videoSnippet","props":{"videoId":"9675994748748149940"},"curPage":0},{"id":"7735208249403175677-0-14","type":"videoSnippet","props":{"videoId":"7735208249403175677"},"curPage":0},{"id":"13861174396311818679-0-15","type":"videoSnippet","props":{"videoId":"13861174396311818679"},"curPage":0},{"id":"11447714209667179570-0-16","type":"videoSnippet","props":{"videoId":"11447714209667179570"},"curPage":0},{"id":"9331002045931199217-0-17","type":"videoSnippet","props":{"videoId":"9331002045931199217"},"curPage":0},{"id":"8795154523134011931-0-18","type":"videoSnippet","props":{"videoId":"8795154523134011931"},"curPage":0},{"id":"7426983829137154176-0-19","type":"videoSnippet","props":{"videoId":"7426983829137154176"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dG1hdGhrZWVwCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","ui":"desktop","yuid":"5791269051769416510"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3Dmathkeep"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"0004992587445338278731","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-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"}}},"new_template_version":4,"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_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","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,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1450763,0,36;1466868,0,76;1336776,0,93;284409,0,93;151171,0,69;126355,0,26;1281084,0,36;287509,0,43;1447467,0,94;1254301,0,34;1468028,0,89;1467128,0,71;1296808,0,6;681841,0,8"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3Dmathkeep","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=mathkeep","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":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=mathkeep","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"mathkeep: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"mathkeep\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"mathkeep — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"ycb29bc9c876206fccd186dac3aa41a88","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1450763,1466868,1336776,284409,151171,126355,1281084,287509,1447467,1254301,1468028,1467128,1296808,681841","queryText":"mathkeep","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"5791269051769416510","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769416598","tz":"America/Louisville","to_iso":"2026-01-26T03:36:38-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-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":"1450763,1466868,1336776,284409,151171,126355,1281084,287509,1447467,1254301,1468028,1467128,1296808,681841","queryText":"mathkeep","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"5791269051769416510","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":"0004992587445338278731","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":147,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"5791269051769416510","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1753.0__c83439c9643899cbfcbabfd82f198d10e202213a","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":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"12244364796073570175":{"videoId":"12244364796073570175","docid":"34-2-11-ZE58A6E4EA2DA48C9","description":"Created on LiveMath Maker...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3316528/d371c21af274505a29a70bcd3bf14634/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/MuQPGAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DyAvhytH1Dg4","linkTemplate":"/video/preview/12244364796073570175?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Gram Matrix and Areas","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=yAvhytH1Dg4\",\"src\":\"serp\",\"rvb\":\"EqwDChQxMjI0NDM2NDc5NjA3MzU3MDE3NQoUMTAxNTI4MzA0NzAwMTQ3NTkyNjMKFDExMjgyNzc2NjE3NzIzNTAwNTI2ChMxNzE5OTMyNjc5NjE0NjU0MTQ4ChM1NzkzOTU3MTM3ODgwMTE1MDM1ChQxNTAxOTQ4MDMxMTE0MzU2MzU4OQoTMzIxOTgyNDMwMDcwNzIyODgyMQoTNjU4NDgwNjI4NzA0MTY0MDU0MAoUMTQxNjY5NDEzMDU1NzY0NDMzNzcKFDE2NzY2MTQ3OTE1NzE1OTc0NjgxChI5Mjk1ODk1MjczMjA5MTg2MzAKEzk2NzU5OTQ3NDg3NDgxNDk5NDAKEzc3MzUyMDgyNDk0MDMxNzU2NzcKFDEzODYxMTc0Mzk2MzExODE4Njc5ChQxMTQ0NzcxNDIwOTY2NzE3OTU3MAoTOTMzMTAwMjA0NTkzMTE5OTIxNwoTODc5NTE1NDUyMzEzNDAxMTkzMQoTNzQyNjk4MzgyOTEzNzE1NDE3NgoUMTY5OTc5MzYzMDk1Mjc4MzQxMDkKEzUyMjEzODMxNDY0NjA2NjgyNjgaFgoUMTIyNDQzNjQ3OTYwNzM1NzAxNzVaFDEyMjQ0MzY0Nzk2MDczNTcwMTc1arUPEgEwGAAiRBoxAAoqaGhpdGtmaml2bmJteGxuYmhoVUNGUU5tWDBlOVp5X0djN3B4THpwbkFBEgIAEioPwg8PGg8_E2qCBCQBgAQrKosBEAEaeIH2_vQB_AQA8QcGCvgE_wH1E_4B-f39APwF-v0GBP4A7fkP_P3_AADwCQABAAAAAAYW_Pr__QEADQwB-gUAAAASAPQC_wAAAAYL-v3-AQAAAwAA_AIAAAAICQwJAAAAAPYE_wD__wAA_gMV-wAAAAAAAAIGAAAAACAALVAZ4Ts4E0AJSE5QAiqEAhAAGvABfwkgAdfr5f_LMuj_1Q_CAMcdEwAFOiX_qw8qAgbt-wESBQgA-gsvARTF6wC67uwBDvMT_9zm7QES2AUA7O8QAQEaEgHz3xgBLBwFADrN5v4NQv_-7SYG_uL3AwDrKP7_P_kB_wswAP3K_OsAI_stAQsO4QETBAYH4OYAANED5QDMAN396-z6BeP1G_zvFfoADRHc_z0W9P_OBgT9GtQWAhriEAEpLPABDOYI-NEUFQfr0AcBIPgJAtow_PgoIxj61e8F_NbmEvgPE_P18CH2-_24BQcuRP8GB_sNAyIeBBEFDPL88gv8_AL--A7e4QT3IAAt7OYZOzgTQAlIYVACKnMQABpg9vYAI7ww4dku-AOuv-wN_N3irh3T___L0P8bAO3WHOnNCQghAPzoK9egAAAA8uEEHCoAuXXj0CBB7kU2sOBAGSd_-gUVvM8eJeME6gITAxgFCSPzAN2z1Dk3FwcpIBQuIAAti-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_AACIwQAAoEAAAKBAAAAwwQAAWEIAALDBAABQQgAAIMIAAIjCAABgwgAAkMEAADRCAABAQAAAwEAAAIDAAABwwQAAAEEAAOhBAACAwAAAcEIAAKJCAADwwQAAwEEAAIhBAAAAwAAAxsIAAODBAAAAQQAAAMAAAFTCAADYwQAAgEEAAMhBAAAAwAAAgMIAABTCAABoQgAAMEEAADzCAAAowgAAsEEAAIhCAABYwgAABEIAAODBAAAgQgAAAEIAABxCAAAAQgAATMIAAFDCAACwwSAAOBNACUh1UAEqjwIQABqAAgAAyD0AAOi9AAB8PgAAyD0AAOA8AACOPgAAmr4AACe_AABEvgAAPD4AAJY-AABMvgAARD4AAFw-AAB8vgAAmL0AAHQ-AAAcPgAAgj4AAOY-AAB_PwAARL4AAMi9AAAwPQAA6D0AACS-AAAUPgAAkr4AAEC8AAB8PgAAuD0AAKC8AACovQAA6D0AABQ-AACovQAADL4AAJq-AAC2vgAAdL4AAJq-AACavgAABL4AACS-AAC4vQAAbL4AAHw-AAAQvQAAyL0AAAS-AABAPAAAgDsAAAw-AAA8PgAAnr4AAIC7AAA3PwAAqD0AAIo-AAAUPgAAQLwAAKA8AACgPAAAjr4gADgTQAlIfFABKo8CEAEagAIAAIC7AABQPQAAqL0AACG_AACavgAAiD0AAKI-AABUPgAABD4AACw-AACAOwAAyL0AADw-AACIPQAAmD0AAFC9AADovQAAGz8AAI6-AADCPgAA4LwAAHy-AABwvQAALL4AANg9AADYvQAAUL0AAOA8AACgvAAAMD0AALi9AACoPQAAiL0AAHC9AAAcPgAAHL4AACw-AAAUPgAAuL0AANg9AAB8PgAAnr4AAFC9AACAuwAAoLwAAAS-AAB_vwAARD4AAGy-AACYvQAAgDsAABQ-AACgPAAA2D0AADC9AAAUPgAAuL0AAIA7AAAkPgAAqD0AAFQ-AAAkvgAA6L0AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=yAvhytH1Dg4","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":480,"cratio":1.33333,"dups":["12244364796073570175"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"2441805760"},"10152830470014759263":{"videoId":"10152830470014759263","docid":"34-5-5-Z3519557CC5040184","description":"Is vector p on the plane spanned by vector a and b? Express p as a linear combination of a and b when p is on the plane.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/751811/545dba2a74be1525d2b3ac8eb9a2a348/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/SVLLUAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8U690lgNqn8","linkTemplate":"/video/preview/10152830470014759263?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Vector p is on the plane spanned by a , b","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8U690lgNqn8\",\"src\":\"serp\",\"rvb\":\"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_E64BggQkAYAEKyqLARABGniB7gX8BQH_AOzq-v_9AQEABgf4APb__wDk8PsACf0BAOsKAgb7AAAAAv0A-AIAAADsB_319AEAAPwHAgDvAP8AAPEAAfgAAAD_CPH9_wEAAOL6_PYCAAAABgAJAAAAAAD79_kJAgAAAPcLCf0AAAAACAn7AwAAAAAgAC1qLM87OBNACUhOUAIqhAIQABrwAXf1Mv7X9aQBwTzj__Um1QK7Ow4ACjjvAM3qDf_rRPsB8iEKAOwiGf8CD_gAgRPsAREPAADo3PoAE9wc_wzF_QDEBQYB9BcKAVYd1v8P6tYA8x_Z_-EiGP_T5fcBBVzZ_UgALvz0JNgBpPnoA1b5MQC3-wICIQP7AvL2A_ruHSUBzBbM_QIT6QzwBRP95h8eAS_jBAIEOvoBzdoA_hP7IQZC8OQDMj7P_yvr8vfRGwQEAuoA9DXQ9_kGAgT0CvvaB_3mCfH09A_sDQwb8-7u-voiyAwFJQrmCQX1_QPs9gr-8WIMAuoA7-wZA933-crvASAALdWsADs4E0AJSGFQAipzEAAaYBb4ADbxKwQIQirZ1dXwDMjy1c_n6_T_Hbz_Kw-9If8-y-i-1v8lu02vlAAAABr1BxwZAOF-C_IoD_9HT9npFxcIfw8AFtVAQDfrq0YgG7jw_-oRcgDX5dVJBACgIQcffCAALUazCjs4E0AJSG9QAiqvBhAMGqAGAABAQQAAkEEAAIBCAACwQQAABMIAAABAAADIQgAAkEEAAKLCAADAwQAAcMEAAMhBAACowQAAuEEAAODAAACYQQAAoEEAAHzCAAAAwAAAKMIAABDBAABwwgAAgL8AADBCAAA0QgAANEIAAHzCAAAAAAAAgL8AAKBCAAAIwgAAwEAAACzCAADIwQAAWMIAAIC_AACgQQAAHEIAAGhCAAAAwgAAYMEAAIBBAAAQQgAAgEEAAIhBAADwwQAAEEIAAOBBAAAwQQAAYEEAABzCAAAwwQAAdMIAAPjBAACgwAAAQMAAAAzCAABYwgAAmEEAAAxCAAA8QgAAJMIAAGTCAACwwQAATEIAABTCAAAAwAAAoMAAAADAAAAAQAAA0kIAAIhBAACAwQAAPEIAAODBAADYwQAAeMIAABBBAACgQgAAsEEAAEBAAADmQgAAuEEAACDBAACCQgAAwMEAAMjBAAAgwQAAhEIAAIA_AABAwQAAcEIAADjCAACuwgAAmMEAAI7CAAC4wQAAPMIAAKhBAABQQgAA4MEAAATCAABwQQAAEMEAANDBAABkQgAAHMIAACBBAADAwAAAVEIAAHhCAACAPwAAoMEAAMxCAACgwQAA8MEAABDBAABgQQAAdMIAAEzCAAAgwQAAPMIAAIZCAACAPwAA2MEAAIrCAACIQQAADMIAACDBAAAoQgAA4EAAACBBAAAgwgAA4EAAADRCAAAUQgAAEEIAAFBBAACoQQAAoMAAANhBAABwwgAAkkIAAFTCAABgwQAALEIAAIBAAAAoQgAAJEIAAOBAAACQwQAAYMEAAPhBAACQwQAAUEIAAIBBAAAgwgAAMMEAABDBAAA4QgAAAMAAADBCAACQwQAAkEEAABBBAAAQwQAA-MEAANJCAAC-QgAAiEEAAARCAABAQgAAwEEAAO7CAACgwAAAFMIAAKBAAAAowgAAQMEAAExCAABIwgAAIMIAAOjBAABAwAAAXEIAAGxCAACAwAAAuMEAAARCAACwQQAAmMEAACRCAADAwAAA2MEAABBBAACAwQAAjEIAADzCAADAQAAA6EEgADgTQAlIdVABKo8CEAAagAIAAEC8AAAkvgAARD4AAKC8AAB8vgAAnj4AAFA9AAAhvwAATL4AACw-AAAEvgAANL4AALg9AABkPgAAor4AAEy-AAC4PQAAqD0AAHQ-AACmPgAAfz8AAIA7AAB8PgAAND4AAJK-AADYvQAAmj4AABC9AABkvgAAZD4AADw-AACgPAAA-L0AAMg9AADovQAAMD0AAGQ-AAAMvgAAsr4AAHC9AAC4vQAAgr4AADQ-AADgvAAARL4AAAQ-AABQvQAAmL0AADS-AABsvgAAZD4AAJi9AAC-PgAABD4AADA9AAAwvQAAaz8AACw-AACKvgAAZD4AACw-AACgPAAAiD0AAAS-IAA4E0AJSHxQASqPAhABGoACAAA8vgAAND4AABA9AAA9vwAAfL4AADC9AABkPgAAqL0AAJg9AACWPgAAcL0AANa-AADYvQAAuL0AABy-AADIvQAAyL0AAEM_AACoPQAAmj4AAPg9AAAsvgAAQDwAADC9AAC4vQAAcD0AAIC7AAAkPgAAkj4AADA9AAAwPQAAyD0AAI6-AACgvAAAoDwAACy-AAATPwAAED0AAK6-AADYvQAABD4AAII-AABAvAAAgDsAABS-AADCPgAAf78AAIg9AABAvAAAqD0AADS-AACAuwAAmD0AAHQ-AACGPgAAuD0AABA9AAAMPgAAoDwAAOA8AAA8PgAA-L0AAOA8AACAOyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=8U690lgNqn8","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10152830470014759263"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3615209092"},"11282776617723500526":{"videoId":"11282776617723500526","docid":"34-0-6-Z75CAE53081C8052D","description":"For the sake of simplicity, I didn't cover Euler back substitution but I hope this video is a good introduction to the RSA algorithm. For some reason, I kept saying \"doesn't share factors\"...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/909625/a1fa023e2d81858b5b953c632aa2d7f3/564x318_1"},"target":"_self","position":"2","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DA4NAHDKNyYI","linkTemplate":"/video/preview/11282776617723500526?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How does math keep your secrets safe?","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=A4NAHDKNyYI\",\"src\":\"serp\",\"rvb\":\"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_E_kBggQkAYAEKyqLARABGniBBAvzAQAAAPT5C_b-AQEBCwDvAfb__wDoAfj7-f4BAAUHBf0IAQAA_QL7BgEAAAD1BPkCAv8AAAML9v8EAAAAEAb-CPYAAAAXCfYI_gEAAAv7_wgE_wAAFv4GAwAAAAAA9f_6AwAAAAQBA_wAAAAAAvwFAAAAAAAgAC14HNU7OBNACUhOUAIqcxAAGmAGFgAILg3k3AAk8-D-_gMI9v3X0AYLAP_mAAgPDQ395_nLDff__gUi6s0AAAAJBPEVGAD7PRHrxQ7hAPrYCAf1GH8ZF_X8AgH74_cKzwEo9wQLEBgAFPETGgzrGzQOChsgAC3LfYA7OBNACUhvUAIqrwYQDBqgBgAAwEAAALjBAACwQQAAZMIAAPDBAAC4QQAAgMAAAKjBAACMwgAAAMAAAGDBAAAwwQAAOMIAADDCAACAPwAAAEAAAEDBAAA4wgAAoMAAAIBBAAA4QgAAlMIAABDBAAAYQgAAUMEAAMhBAACgwQAAUEEAAEBAAABQQQAAfMIAAABCAAAgwQAAQMAAADRCAABIQgAAAAAAALRCAACAQAAAMEEAAJ5CAADIQQAAqEIAABRCAADoQQAAuMEAADBCAAB8wgAAmEIAAEjCAAAEwgAAKMIAABBBAACswgAAqEIAAIhBAAAwwgAAAMAAADRCAABMQgAAEEIAAABAAAAAwQAANMIAAHDBAAAMwgAAREIAADBBAACgQAAAjMIAAIBBAACCQgAA-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-AAAEPgAAoLwAACU_AAAMvgAAH78AAGS-AACSvgAAiL0AADy-AAAMPgAANL4AAFy-AABEvgAAdD4AAAw-AACiPgAAAz8AAH8_AABAvAAAJD4AAPY-AAB8vgAAML0AAIA7AACgPAAAqD0AAIY-AADSPgAAZL4AALg9AAD4vQAAcD0AAKo-AAA8PgAAA78AAKK-AAAsvgAAgLsAAKK-AAAUPgAAcL0AANg9AADoPQAATD4AAIq-AABwvQAATD4AABA9AACivgAAEL0AAFw-AADIvQAA6D0AAFs_AACSPgAAcL0AABA9AADavgAAnj4AAPg9AACGviAAOBNACUh8UAEqjwIQARqAAgAAmL0AADw-AACIvQAAIb8AAJ6-AADovQAAtj4AAIg9AACOPgAAgDsAAAS-AACuvgAAUD0AAEA8AABQvQAAEL0AAFA9AAANPwAAnr4AAFw-AADoPQAAkr4AAAy-AACgvAAAED0AAOA8AAAMvgAA4DwAADQ-AAD4PQAAgLsAAOg9AABcvgAAiD0AABA9AABAvAAADz8AACy-AAAsvgAAiL0AAFQ-AABAvAAAgLsAACQ-AACgvAAA-D0AAH-_AACGPgAAqr4AAKC8AABwPQAAND4AAEA8AAAcPgAAyL0AADw-AAAwvQAAuD0AABQ-AADoPQAAFD4AAJa-AAA0vgAAoDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=A4NAHDKNyYI","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11282776617723500526"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1719932679614654148":{"videoId":"1719932679614654148","docid":"34-8-12-Z153300D60EB8D4B6","description":"Linear Transformation Eigenvalues Spectral Decomposition...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4083955/884036b7dc88a16f9e57bb06ac3f0930/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/sHD9QAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DPQJa7HrhblY","linkTemplate":"/video/preview/1719932679614654148?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R2 Spectral decomposition of Symmetric matrices","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=PQJa7HrhblY\",\"src\":\"serp\",\"rvb\":\"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_6AQD8BQD-CgcBBAX-AQsM9vj2AAAA_AX6_QYE_gDz-gcBBAAAAP0C_AUBAAAA_QYB-_r-AAAU-wIMAwAAABEI-P33AAAADQb_-v4BAADzBAryAgAAAAMCCAcAAAAA8wD6AwMAAAAECAMEAAAAAAf4AP4AAAAAIAAtfGXeOzgTQAlITlACKoQCEAAa8AF_HWr-zPONAckODf_zL8oCtAD7__tKvgCd3-z_zjrVAtAp4wHxFvv_8UQo_pQ79f8P3_n-wLnfADDZNwDTzA__xesOACfjMAJ--vkB7KH0AeNNFv0DJED_yN71AeAn2P4p0Ab9DzfEAb7FrQlTEkD_-zsPAxvm-wbdCAQAtv5FAwMY2P0CF-QP5Bkt-dYVGgttDAAB91gJAtjV8wgX-SkHQMna_O4ayP4oEvTz3XEhB_vg3_QDv_kIAQQRFxAX4f7i1uz0LqAY-gkW_w3X9e3xLQn8_i8rEf7fwO8GEQDw-vgsCPO-_uTxKdnsEtO-8PYgAC2WP846OBNACUhhUAIqzwcQABrAB-6vzr4vNxO9KHswvb5Z-TwS2Ny8PB7pvBTamL0nT3k9CxGJuzOpQT7ZxDA6WLOpPNBHGb5vi-i8l6NPu4wRCT5dFjO9RyabvWLKxr1awF88A-cxvFexOL5HpX08pdQKPerslL09vS29xm30PBsQUT4j7nu9VbSDvA14D73-LVy8Wy7tudQ6mz00VUa9Dp90vSWPjD36Rx88MhZSPQtVGz3kn_y7ONTWuwwehj3fqik75O0QPNpfEb3Hdii9prT-OzgCJzxTkhY8TdcYPb4KujzlFHi8uLh8vNlsNj3cAKI8NhLXO02eAj6lzBe9yDccuQOZqL1qloW9fyqTvLTTxbw5Org8DwJZO7lmtz1zE7A9vxuBPOAsBb6c-VW8Wb3Hu2Q-IL3uqQG9Iwp3PO69vj25yk69f6yWPN5atj2PJg09tt9zO5rShT03LxM9QQsJPPEqDDxzbk49IDTxu6pdqD1LcA88bjVrvCUvobyjuYQ855RbvBoppTw47hk9mVupu6cHZT1blNk82MJiPCpvFz5WGcy998MVu7HRI706HjM8cXPsu5JWsT25Nek9ukyPuqz8N73MJgC-qhDNOw4cJ7saax89YjRpu6R9vT1zyYe9L8gvOyMrhL0H9J09csADusWnBb1qz_q67gyNux_9Jb0DtOu7PVfCO5WNeL3rroe8DCJOO6od8jsdoiS68pcWPB4YozuJkoW9IKMAOQsk6D2rAS-97MnTOYvD2b0VCsc8yvweOgkuW71HFSy7Gt2DuyayRT2jzpw8LiVDOdWTeTxrFp48SSdYOVHweT2YjlQ9-2rrOO5vmjyjLDK9vPebuKaX-L3zq6m9qjR1OJ7wULucqSu91YHFufacbz29tcI8pq5qOMwgw73UDQS-CFOFOQzMOr4y43K9IT1-ORuLfD01yRk9bTuCtlZYur0dxgk8ndW2uanJBrznBqm9UIA2tpHvEr5EA4c9npkuONaLpr1_jb27ZiAAudpW0z0jGY08rwtTN4C0hD3jFx4-sueCt0fyyzw3f528JbwQuQ3SwjyAyK66i5vUt-4QtT1W98M9o_AhuSq-y72osj6950aVN1iTIr2VK8y9HhWLuMhfOj7clcI8za9LOBeJhD1HfUg8zDUBuK1M-Dw8mjQ8fsLruKaX2L36wEQ8cytkuBK84b1qYou8QDhzuPnBFD2edAk8pfINuILIAj45oMC9PAE_OERnXj3HZ7I83-sAORgnOb2UQ6U9ZZTHuPVifTrtYZS83brntuXBLD0UpY68bBkKtyAAOBNACUhtUAEqcxAAGmD_BQAkExTi8UUc3v7MAFbM6RLACq7u_9zY_xXyzMT6CPvf3xMAFqVC4aAAAAAgFbIeCADFfbGxNiIsKh8YpfkwDH8cLh8IDhoJ-dUkUCva_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-MEAAADAAAAgQgAAMMEAAPDBAACGQgAAmMEAALDBAAAowgAATMIAACBCAACSQgAACMIAABTCAAA0QgAALEIAAIA_AABYQgAAoEAAALBBAAC4QQAA4EEAABBCAADowQAAgMEAAMjBIAA4E0AJSHVQASqPAhAAGoACAABQPQAAuD0AAM4-AACIvQAAfL4AAGw-AACAOwAAUb8AAJq-AACYPQAAHD4AAJq-AABcPgAAnj4AAFC9AADgvAAAmD0AAOC8AABcPgAACT8AAH8_AADgvAAAXD4AAOA8AAB0PgAAyD0AAOA8AAAcvgAAgDsAABQ-AACoPQAAJD4AAEy-AADYPQAAqD0AAEy-AABAPAAANL4AAIK-AACGvgAAlr4AADy-AACAOwAAoDwAAK6-AADovQAABD4AAJa-AAAUvgAARL4AAFA9AADIvQAAHD4AAFQ-AAA8vgAAiD0AADM_AABwPQAAcD0AAJ4-AABUPgAAbD4AAEQ-AAAcviAAOBNACUh8UAEqjwIQARqAAgAAMD0AABw-AADgvAAAOb8AAI6-AACIvQAAbD4AAKC8AAC4vQAA1j4AAOg9AABkvgAAhj4AAPi9AABAvAAAyL0AADA9AAAnPwAA2D0AAJY-AABAvAAAmL0AANg9AAAwvQAAoLwAAHC9AADgvAAAuD0AAFC9AAAwPQAAoLwAAHA9AACIvQAAML0AAPi9AABUvgAAyD0AAIY-AAAMvgAAiL0AABQ-AACIPQAAyL0AADC9AADYPQAABD4AAH-_AADIPQAAQLwAAOA8AACCPgAAED0AABw-AAA0PgAALL4AALg9AAAQvQAA6D0AAOA8AAAEvgAATD4AADA9AAAUvgAAHL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=PQJa7HrhblY","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1719932679614654148"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"915624725"},"5793957137880115035":{"videoId":"5793957137880115035","docid":"34-10-15-Z3C1D0296169A6BE2","description":"Linear, Algebra, Four, fundamental, subspaces, Row, Space, Column, Nullspace, Left...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3174000/c3f711f7e7a6b45a24fd01fefa9ed0e9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XHGeUwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DbeX9vAGMvIc","linkTemplate":"/video/preview/5793957137880115035?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R2 Four Subspaces with 2 by 2 matrix A","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=beX9vAGMvIc\",\"src\":\"serp\",\"rvb\":\"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-AgDw_gAF-AP_AQ8M-gII_wAA5QDxCQD9AQDf-AkHAP4AAP0Y_AUDAAAADAsB_wH9AQANAP0D-wAAAAf69wUCAAAADA3vAv8AAAAABQj4A_8AAAX-AwQAAAAA8QP7-v7_AAD_BgX9AAAAAAH8AhIAAAAAIAAtwqTaOzgTQAlITlACKnMQABpg8xsAFRE7qv8WIfL1KP8Pz9IL17TaA__1_gAR_NTQFyfR59H4AAHKIO2xAAAAEdQTCycAyGAc28kq-jIY4_soL-p_HPra_wzqAe4RAt78Mxbl3-cAANC9KgEPG9M88D8ZIAAtXa0zOzgTQAlIb1ACKq8GEAwaoAYAALDBAADwwQAAMEIAACxCAAAQwQAASEIAAAhCAAAgQgAADMIAAHDBAADgwQAA-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_AABgQgAAJEIAAABBAADYwQAA_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-AACePgAAML0AADe_AACWvgAAND4AAI4-AAD2vgAAND4AADw-AACOvgAAJL4AAJ4-AAAEPgAABT8AALY-AAB_PwAAmD0AAES-AABcPgAAyL0AAOi9AACoPQAAnr4AAGQ-AACGPgAABD4AABQ-AAA8vgAAuD0AAEC8AADgPAAA6D0AAIC7AACavgAA6r4AAIC7AAAcPgAAqL0AAOi9AABAPAAAML0AADA9AABwvQAAPD4AAEy-AADWPgAAuL0AAIY-AAA8PgAA4DwAAIC7AABBPwAAyD0AAKi9AABMPgAAqL0AAJi9AADIPQAANL4gADgTQAlIfFABKo8CEAEagAIAAFC9AADYvQAAgLsAADO_AADgPAAAgLsAAMg9AADYvQAAcD0AAGQ-AAAsPgAAmD0AAIC7AACIvQAAuD0AAFC9AACIvQAAQz8AAOi9AADKPgAAVL4AAIa-AACoPQAANL4AADA9AABAvAAAiD0AAJg9AACKPgAAUD0AABC9AAAMPgAAfL4AAAy-AAA0PgAAmD0AADA9AACOPgAALL4AAOi9AACKPgAABL4AABy-AADgvAAAFL4AAOA8AAB_vwAAML0AAKg9AAAwPQAAJL4AADC9AACovQAA2D0AAEA8AABwPQAAQDwAAEC8AADgvAAAMD0AAAw-AAAkvgAAuD0AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=beX9vAGMvIc","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5793957137880115035"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1138736581"},"15019480311143563589":{"videoId":"15019480311143563589","docid":"34-8-5-Z2D83E3C65DF44A87","description":"Cross product u x v is perpendicular to both u and u...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4310296/fb39e232e26362bf95692910ac731073/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/o_VWYgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYTSMXx4IaKI","linkTemplate":"/video/preview/15019480311143563589?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R3 Cross Product u x v is perpendicular to u and v","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=YTSMXx4IaKI\",\"src\":\"serp\",\"rvb\":\"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_E74BggQkAYAEKyqLARABGniBAf36BQAAAPwAEAUHB_wBDxMD-vUCAgDx-vIE-AH_APP9Cgj7AAAABQ4D9wkAAADwC_4GAwAAABIL9fYEAAAAA_L-9fkAAAAEBP70_gEAAOz_AgkDAAAABAQGBvX-AQD6DPgD_QAAAOz-BQ0AAAAA-fECBgAAAAAgAC0sYNU7OBNACUhOUAIqhAIQABrwAXYFQf72_MwEwTzj_-o_5AC7Ow4ADyH5AK7vDQHrL_AAzyEHAPgNOAHzC9cBgRPsAQ8ACP_Nx-UAGuoS_hGqFAHcBBEBFfgQAD0h8f8Ky-cBDDT4_RUk-v_j7u0Bu1TRAC4eC_31PgUCvR73AVb5MQACC-8BRdsJBtnoHQTq9BAH8Qvp9ukD_gTiLS3_7gMTBSTu5AQbN87_xAcE_BP7IQYbxwEDGUnm_w7gCfamFw_98NgC-Q8PDvQPQwH-IDgLA-HKFfvi7A_7-xH7AQ4o9PwA1f0MQTL4CAf37Pz47xEG6D4N--oA7-wZA9332tT84SAALdWsADs4E0AJSGFQAirPBxAAGsAHy4S3vo97CDsWsHO9qfcUvEQlw7t3Lsy8qOEbvt8W7DyH20Y8ZhA_PnoRNzwHN2O8GM0avtPCYL0ZL6e8-N8qPqbAF7y5SAu9K_66vcz3Qj2bOQS9F34AvupgOD35rrc8HHwRvoeUVb2NvCc9_n4RPukqvb04lGu8BBezu8x9cjwWmUo71DqbPTRVRr0On3S9l2qbPbgykj2VpCY9LlmlPWNCTLwfCFo8vhTePaSkjD2dD088QxF8vahHBL2Zav-7u3xrvG5unD1JvpI8b4dhPKoKbb3inp27wyZXPI_7dj3nomw5TZ4CPqXMF73INxy5mwKZvDN3I71iFU-9s33ovVJMfDo1iva7o9WPPadyf7yswqi6OpM2vgSVTDxfiIu8_VLcO6a2t7vkEZw8bePvPRoOxb22uZY81ritPfXBjb0L5KM8OH2SPR-epTzvITy83gvCPe1WoDxT7hk6sgN4POujuLwNz4G8LPmTvWJgQjwPL6O8l6DQvHaGjrwz4Mk6RU78u5J1GD2dJtg8Km8XPlYZzL33wxW7mSF_vXnKzbtF2oa8f-4VPXwP1z1V1VO7CsRGvYFcYrzvlVS8HCFIva_cgTxIwI2756KGPE9lh7w2AhA8_DGyvctBqj0DH0C5y4VKvFigp7wTcm-7H43YOyt0GDv2uyg76gMJvTsOw7l1Htc7ow3GPZavyzpgbr07J1szvYUqDrywHCW7IClCPiCMDDw7ZsS40dWRvfU2rLwiJ-E6wNWVO4IsVT17eIm4TyMdPpW4Dr0Ne9I44SSNPM3gND1JLLK5xvnbPeJJwTzMWqW5MbNvPfUjTz0QP7g4_yNDvmZn0b088pA5Rf7PPJDjvTsgFo05QHNxvSSXf7zyM-64ZlCIPICour2Yc7Q54CzFvaZvyDzOpAq5RprYPbIzAD3WC5A4EwlLvVnajrzvjSW5Y0q_vJo6tL3-5XU5JdcDvQS0uD2qJ6q4vkY3vYnHzzz2kxS50SWnPc7ZZz3-jyQ5u89WPXslmj3WzBM4H0dzPL8S4TvsFi-4olFQvUI2GryoKZe1O3pSPTinbTyrpT24bcX-vaLUPr0aL_S4y-tSPHxi3b1M24o4yF86PtyVwjzNr0s42GOivEHbA7sZZTQ4oFTLPffxxrwtj9W4QsczPI9TFL09RCS4Qec_vTN7jzs4uC43M90LPXdaSLzBzLK4bXIYPmGkF76n-N64oEpSPQc4jj0Vkow461zsvKqkpD0Bi8S4Ce_-Othe7jurqEi3jlvMPHA_oLwxJLw3IAA4E0AJSG1QASpzEAAaYPbzAEvDI_8dWhjQ9tERGff02-cOziD_787_LAAK5wDe1rsOD_8kwCH-ngAAABE1uv45AAh_5-ECFc8aQd7XHi8iWPQMR6DEEhXpBEYBHMMqBBQNRwC97Ms1Q-L6HCD-QSAALZKBHDs4E0AJSG9QAiqvBhAMGqAGAABAwQAA2EEAAGRCAADgQAAANMIAAIC_AADGQgAADEIAAFTCAABIwgAAAMAAAFhCAABgwQAANEIAAPDBAAAgwQAAgEAAAIzCAABwwQAAKMIAAAAAAAB8wgAAAEEAALBBAABoQgAAEEEAAITCAACAPwAAEEEAAJxCAACQwQAAQEEAAIbCAAAEwgAAMMIAACDBAADgwAAA0EEAAExCAADowQAAmEEAAABAAADgQQAAuEEAAODAAAAkwgAA-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_AACMQgAAUMEAAEhCAAAAwQAAgMAAAAhCAACAQAAAQMAAALJCAACUQgAAYEEAABRCAACeQgAACEIAAMzCAACgwAAAqMEAAOBBAADowQAAmMEAACBCAABIwgAADMIAAPDBAAAAwQAAAEIAAHxCAADIwQAAMMIAAGxCAABYQgAAUEEAACxCAADYwQAAcMEAAIBAAACowQAAXEIAABTCAAAAwAAAIEEgADgTQAlIdVABKo8CEAAagAIAAIg9AADgvAAAdD4AAEA8AAAQPQAADD4AAIq-AAC2vgAANL4AAJg9AABAvAAAML0AABC9AAAEvgAAhr4AAMg9AAB8PgAAgLsAALI-AADCPgAAfz8AAIC7AACgPAAAgDsAAKi9AADgPAAAoLwAAHC9AABAPAAAhj4AAFA9AAAkPgAAML0AAMg9AABQPQAAcD0AABS-AABQvQAApr4AALa-AAAQvQAA-L0AAKA8AADovQAAgLsAALi9AAAwPQAA-L0AAIA7AADgPAAAgDsAAOg9AABMPgAABD4AAFS-AABQvQAAyj4AAIg9AADgPAAAyD0AAAy-AAAQPQAAgLsAAMi9IAA4E0AJSHxQASqPAhABGoACAACovQAAmD0AAOA8AAA5vwAANL4AABA9AADmPgAAcL0AABQ-AABEPgAAJL4AADy-AADIPQAAXL4AABS-AADIPQAAmr4AAE0_AABwPQAAND4AABw-AADCvgAAUD0AAIC7AABwvQAARD4AAKi9AACYPQAAcL0AAFC9AACYvQAAyD0AAHy-AAC6vgAAdL4AAMi9AACuPgAAbL4AAJK-AAA0vgAAUD0AACQ-AAB0PgAAUL0AAL4-AABAvAAAf78AAKq-AACIPQAAML0AAMg9AAAkPgAAyD0AAJi9AAAcPgAAmD0AANi9AACgvAAAEL0AADQ-AADePgAAcL0AAHy-AAB8viAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=YTSMXx4IaKI","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15019480311143563589"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2426406303"},"3219824300707228821":{"videoId":"3219824300707228821","docid":"34-11-15-ZF2302901AEA0306E","description":"Math Master App to Keep Math Skills Sharp! FYI- the Math bone is connected to The Game bone! ","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/226025/4e45a68855d63c4b174e2975afdad112/564x318_1"},"target":"_self","position":"7","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Djp0TonTsz4I","linkTemplate":"/video/preview/3219824300707228821?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math Master App to Keep Math Skills Sharp! FYI- the Math bone is connected to The Game bone!","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=jp0TonTsz4I\",\"src\":\"serp\",\"rvb\":\"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-wf9AwD39Q8H-wb-Afv2_Qb6_v0A5QLx9wP8AgD-_AIE9wEAAA4I9P79AAAA_An9AAT-AAD__P8D-gAAAA8D_v_9AAAAARAABP4BAAD2-gb5AgAAAAgEAgoAAAAABwz_APn_AAEGDAb8AAAAAAv_Bf4AAAAAIAAtIz_cOzgTQAlITlACKnMQABpg4QwAMxMa9MHj_t7t5uHw9g4D1-QE7_8e6AAZAQPQE_LUriYi__wAGfC-AAAAFh4IDRYA1FTx38kr6RP-vgcVIQx_CwnqBgb3_PQr2_fhFArp9QMnAP4a5vY8CgJTAyk0IAAtyghLOzgTQAlIb1ACKq8GEAwaoAYAAFDBAABwQQAAEEIAALjBAAAgwQAAykIAAJhBAABMwgAAqMEAADzCAACKQgAAgD8AAADAAACYwQAAgEEAACRCAACQQQAAUEEAAGjCAACIwQAAQEEAAMBBAABAQAAAHEIAAHjCAACQwQAAkMEAAETCAADAQgAAsMEAAAAAAAAgQgAAlsIAAIDBAADIQQAAiEEAAHTCAACSQgAAiMEAAODAAABEwgAAAEEAAIBCAACoQQAAMMIAAOhBAAAEQgAAOEIAAGRCAABgQQAAUMIAAKhBAACAwgAAIMEAAGRCAABQQQAAIMEAAGDCAADgQAAAAEAAAABBAADwwQAAAEEAAGjCAADAQQAAGMIAABDBAACQwQAAXMIAAMDAAADAQgAAQEIAAJDBAACQQQAAwMEAABBBAADIwQAAZEIAAKBBAABIQgAAaMIAAHBCAACYwQAAYEEAAPDBAAAUQgAASEIAAABAAACQQQAAgEEAANDBAACUQgAAWMIAAMDCAADAwAAAmMEAAADAAAAgQgAAXEIAAHzCAAAAwQAAQEAAAOBBAABgQQAAFMIAAEhCAADYQQAAJEIAAIhBAACGQgAAhEIAAIC_AACowQAAIEEAABDBAAAQwgAAbMIAABDCAACOQgAAeMIAAIhCAACQwQAANMIAAABBAADgwAAAFMIAALDBAABcwgAA6MIAAIjBAACAQAAAnMIAABDBAACwwQAAsMEAAJxCAACcQgAA0EEAAODAAAAwwgAAAEEAAK5CAADwwQAAkEEAAIA_AAB4QgAAkMIAACBCAADIwQAAQMEAAIA_AAAAAAAAwEEAABTCAADgQAAAEMIAAGzCAADYwQAAAEEAAOBBAACQQQAAgD8AAGDBAACYQQAAmMIAAJjBAADYQQAAYEEAACDBAACwQQAAsMIAADBBAACgQQAAIMIAAMDAAACwwQAA2MEAAIbCAAAwQgAAAMIAAHDCAAAQwQAAwEAAABDCAAAAwAAAhsIAAATCAAAcQgAAUMIAAIDBAAAAwQAABMIAABBCAAAMQgAAgMEAABhCAACQQQAAiMEAAKBAAAAwwSAAOBNACUh1UAEqjwIQABqAAgAAHL4AAPi9AABMPgAABD4AABQ-AACuPgAA4DwAAAm_AADovQAA4LwAABS-AACAuwAAoLwAAAw-AABEvgAAUL0AAJo-AABQPQAAiD0AAK4-AAB_PwAAUD0AAIg9AACWPgAA4LwAAFy-AAA0PgAAFL4AAFw-AACKPgAABD4AACS-AACgvAAAqL0AADA9AACYPQAAgLsAAGy-AACqvgAAEL0AAAy-AAA0vgAAgLsAAFC9AADovQAAEL0AAK4-AAA0vgAA2L0AAEy-AAAMPgAAgLsAAII-AADYPQAAHL4AAKi9AAA5PwAAyD0AADC9AADgPAAAuL0AACw-AADgPAAAVL4gADgTQAlIfFABKo8CEAEagAIAAOi9AAA8PgAAyD0AACO_AAA0vgAA4DwAAOg9AADYPQAAuD0AAIg9AADYvQAAVL4AAKi9AAAsvgAAyD0AAOC8AAAkPgAAIz8AAIC7AADGPgAAgDsAAMi9AACIvQAAyL0AAOC8AACAOwAAuL0AAIg9AAAQPQAAqD0AAMi9AAD4PQAAQDwAAMi9AACoPQAA4DwAADw-AAC4PQAALL4AALg9AACgPAAANL4AAOC8AACgPAAAUL0AABw-AAB_vwAAED0AAIa-AAC4PQAAcD0AAEA8AABAvAAAqD0AAEA8AACYPQAAQDwAAHC9AAD4PQAA6D0AAOg9AAAsvgAAMD0AADw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=jp0TonTsz4I","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3219824300707228821"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6584806287041640540":{"videoId":"6584806287041640540","docid":"34-11-6-ZB917E2F183F97693","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2796879/79f93547fa8907a60214b1e830518e78/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/fEygKgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_WfdEsGrt6U","linkTemplate":"/video/preview/6584806287041640540?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R2 dot product and angle between two vectors","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_WfdEsGrt6U\",\"src\":\"serp\",\"rvb\":\"EqwDChQxMjI0NDM2NDc5NjA3MzU3MDE3NQoUMTAxNTI4MzA0NzAwMTQ3NTkyNjMKFDExMjgyNzc2NjE3NzIzNTAwNTI2ChMxNzE5OTMyNjc5NjE0NjU0MTQ4ChM1NzkzOTU3MTM3ODgwMTE1MDM1ChQxNTAxOTQ4MDMxMTE0MzU2MzU4OQoTMzIxOTgyNDMwMDcwNzIyODgyMQoTNjU4NDgwNjI4NzA0MTY0MDU0MAoUMTQxNjY5NDEzMDU1NzY0NDMzNzcKFDE2NzY2MTQ3OTE1NzE1OTc0NjgxChI5Mjk1ODk1MjczMjA5MTg2MzAKEzk2NzU5OTQ3NDg3NDgxNDk5NDAKEzc3MzUyMDgyNDk0MDMxNzU2NzcKFDEzODYxMTc0Mzk2MzExODE4Njc5ChQxMTQ0NzcxNDIwOTY2NzE3OTU3MAoTOTMzMTAwMjA0NTkzMTE5OTIxNwoTODc5NTE1NDUyMzEzNDAxMTkzMQoTNzQyNjk4MzgyOTEzNzE1NDE3NgoUMTY5OTc5MzYzMDk1Mjc4MzQxMDkKEzUyMjEzODMxNDY0NjA2NjgyNjgaFQoTNjU4NDgwNjI4NzA0MTY0MDU0MFoTNjU4NDgwNjI4NzA0MTY0MDU0MGq2DxIBMBgAIkUaMQAKKmhoaXRrZmppdm5ibXhsbmJoaFVDRlFObVgwZTlaeV9HYzdweEx6cG5BQRICABIqEMIPDxoPPxPBAYIEJAGABCsqiwEQARp4gfL6-wf_AgD9AgUC-gb-Ag8TA_r1AgIA9gf7_v8C_wDz_QoI-wAAAAgEAPADAAAA-wv6__z-AAAMD-8AAwAAAAPy_vX5AAAABPj6-P8BAAD1_wD9-QEAAAfvBg3_AAAA9wIG9v__AAD9BP79AQAAAAj-BAYAAAAAIAAtI3_YOzgTQAlITlACKoQCEAAa8AFjGDD0tfi3__BD9AHGRKICgSkOABogvP-XxAMBx-mkAdH4Bv_c_AAA-xYa_5glDAEI8uYAvrfeACOyIP_SyxD_COQMATbGEAFq7AcA88b__eJnOvwJ6A4D79PYAt8o1_4xwBP-9gKt_q364ABHQUYCL0UaCAQPDwSu5RoErfX1C-gewPzf4hULtv0m_-oOJxIu6dwF-lLg_b8C_AgXIwsII7YBBAxEwPwp9ycK3GT-AevxyAIj5eELIDE0_gUd-Piq7h_x3ZYXBSDY-Q7V9ezw1AHzCEkM-BQB5-oS2wPvDscwEO7J_gHcK5zkDbHI_PogAC0Yisg6OBNACUhhUAIqcxAAGmBb_gBp9BDvECzz6fjU2B7p8uYE_-PY_wvJ_yj9yAcJ--nN5AP_Gpkr-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-AACgPAAARL4AACQ-AAC4vQAAC78AAFA9AACSPgAAND4AACy-AADgPAAAdD4AAES-AADIPQAATD4AAKA8AACiPgAA4j4AAH8_AAAQvQAA2L0AAKA8AAAEvgAAiL0AAPi9AAAsvgAAUD0AAM4-AADgvAAAMD0AAI6-AAAMPgAA-L0AADA9AAAUPgAAEL0AAFS-AAAcvgAAZL4AAJK-AACAOwAAFD4AADC9AAB8vgAAgLsAAKi9AADgvAAAfL4AAHQ-AACgvAAAvj4AADw-AAAQvQAAED0AACc_AABQvQAAED0AAFw-AAAQvQAAmL0AAIg9AACgPCAAOBNACUh8UAEqjwIQARqAAgAAiD0AAFA9AADgvAAAE78AAIC7AACIvQAAhj4AAIC7AAAQPQAApj4AADA9AABwvQAAEL0AAIK-AACoPQAAQLwAAKA8AAAvPwAAcL0AAMI-AAD4vQAAML0AAJi9AACYvQAAgLsAAEQ-AAAsPgAAoDwAAJi9AAA0PgAAEL0AAMg9AAAkvgAA6L0AABy-AACIPQAAEL0AABw-AABsvgAA4DwAAFw-AADgPAAAED0AAIg9AACIvQAAqD0AAH-_AAB8vgAANL4AAJi9AAAEvgAAqD0AADw-AABkvgAATD4AAIA7AACgPAAA4LwAABy-AABAPAAAMD0AAIg9AADovQAAcL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=_WfdEsGrt6U","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6584806287041640540"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3632381263"},"14166941305576443377":{"videoId":"14166941305576443377","docid":"34-2-5-Z5A4A6556F4DD255F","description":"Created on LiveMath maker...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4507725/61c02af3924360eedaf56da81c3690a9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/KVyyIQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIPT5pOGYIJQ","linkTemplate":"/video/preview/14166941305576443377?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R2 Quadratic form A=5-sqr3,-sqr33 Ellipse","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=IPT5pOGYIJQ\",\"src\":\"serp\",\"rvb\":\"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_E7wBggQkAYAEKyqLARABGniB6vj8-wL-AOUKEPn9_gIAAg8G8_f__wDxAPgOBQL_AAT5EP4GAQAA_QcECwQAAAD28v0K9_8BABr4AQjxAAAACfcBCPwAAAAHAA_2_wEAAPcL_vwD_wAABf0DBQAAAAD1EAEDAQAAAAsL_A0AAAAAAPn8-AAAAAAgAC2OTss7OBNACUhOUAIqhAIQABrwAWEKHv_Q-9H_3QP3ANsrxAGBIgr-_THVAN8DCADsE-wBBhcdANI3Av8lK_0AnCj_AQYF9f7W0uoAK74LAhLvEgD48xgAAuQD_1L8_AHs1PIA0i0C_uLf6wHT2_EA9Czn_y_19fvpDtgBzQr2AVUKNf7t__kCDR0TAc8AEf3k9hv_5fba_QQW_QXj-An_6gcjASfoAwIRL_H_AvPp_g31CQYsAQYEByvX_inwBQfqDAsI9e3zAQ0J_wkSEgUB8friCeH4-_r41SD_COrz-_DmEvruAgT3JhT_9vL1BAYB8AQHEw758wkK4v836Of_-dYB6SAALf8hHTs4E0AJSGFQAirPBxAAGsAHhxbhvrg-7Dw5Qia9vln5PBLY3Lw8Hum8IxPwvdctJz33_UC8ZhA_PnoRNzwHN2O86dM6vnabIb2l6ui8H6ALPuk9urx7yfW8dXT8vS8Tmj0LAhC9TMQ7voKcRbtWMte66uyUvT29Lb3GbfQ8_n4RPukqvb04lGu8YYJgu28WCj0Yum28Wq9TPcghx7xjJea8YolCPf6AxzyyP9o8GkEZPRRBnDzI9Ua7DPKpPdkBfDxf6qm7yj1zvaT1wbyLS7o8hFkSPbjnWT1iIBk8R-KKPPgnp7wtQ9o73wkMvc8pUDm2jh68TZ4CPqXMF73INxy5uavXvPO_pr0uqxC9DMiDvf8Zrzxe8XU73bQZPj0W0TwDYPq7yEUlvmnRgT2dCMe8l0dIvIXDPL2MrVY87r2-PbnKTr1_rJY8QgNWPcTdzzx5aKs6BSotPEZBED3d81c8kcT9uzTQ4Tzd4YC8Xf8pPQy1wTw_dJy8hwRivTeuej3-Nnq88rCFPXZhlT24ZRO8Y59bPEzZjrqYGOY8Km8XPlYZzL33wxW7bamjvdnFPr3Hi7-7Yy-fPSb_oz24YjW8DUQDPO4J0r01U627VQlgPNchbTz0v-A7i2o2PUL7hbvSP1o7c9nIvWIzez0J7cm7iNmLvAF1uTwurXM6OmlrvTQHMj3gEp077AgxvdQMqbwdH0q7C6ixPfHD97yYjPu5z35JPN1cXD2CV8Y5CyToPasBL73sydM5xISHvYLHFz2zKci4aM_lvHYwhzx-nxq7eVgIPrggvrsPtpE4QaS6POxT6bwe9kE5jqSuPBtyYj1s-0-4cdzzOyL8C70QL9s4XFQLvZwV8b3cnnU5nvBQu5ypK73VgcW5FK0BPQTAnTwq8KO4Ux6SvUobyL3hc5s3296uvZGdor3y_oI48UWQPVKtTzyesr84nZubvN5ubjwPvQi4goaIPG1zIbxHlNW6eH1mPDtU8z1THCg4neKnOyNJVb1LnoC4F755PX9Urj05MdU4iaxaO_Z_Lj68OxW5YkcIPQL44bsEcVC2I16oPCFqbDw0pbQ3zedcPUczmz3VLSW5a_HpvXnWJLzuL2A2Ft9LvVGC_r1EWCy4yF86PtyVwjzNr0s4JSQOPGwokLyJTsU31GDaPQfjkb3Hl0-5zcd6vdMV7L3mm_i4Ed5DvbINXD2jahY4m5fePHB1JTxHEqu3YQZ5PfM6Er5L56m4ipZXPRBY-T2NF0A4mJNlO4AL0j2Y5A-5K6aSvAY53jsOZp83UpqNPJklCTzBZ0s3IAA4E0AJSG1QASpzEAAaYDHyABQGJdQYGA_c_Pn2QMAP6vDOwxf_79D_BhLzINYcw8_eAAD9vTK9nAAAABC4CCHYAMN_-8gbEN4wI7S7xj8mdyAr97T5FBD57DITAAc4GypK2wC7-bcRUgHqK0EZViAALfpZFTs4E0AJSG9QAiqvBhAMGqAGAAAgwQAAQEEAAExCAADgwQAAAAAAABBCAAC2QgAAwMAAANjBAACowQAAQEEAABRCAAB0wgAAQEIAABDBAAAMwgAAgMEAANjBAACAwAAANMIAAEBBAADowQAAEMIAAAzCAADwQQAAREIAAPDBAACIQQAA0EEAAIpCAAAUwgAAOEIAAIrCAABQQQAAusIAAIrCAAAUQgAAAEEAAPhBAACIQQAAmEEAAOBAAACAwAAAqMEAAGBBAACCwgAAAMAAAJBBAACgQAAAoEEAALbCAADAwAAAGMIAAKBBAADAQQAAwMAAAKbCAAAIwgAAhkIAACRCAABMQgAA4MEAAJLCAAAAwQAAmEEAAEjCAAAgQQAACMIAAADAAAAYwgAAzkIAANDBAABgwgAA-EEAAIBBAACIQQAAXMIAABxCAABkQgAAuEEAAIDAAACuQgAAIMEAAKjBAADgQQAA8EEAANhBAACGwgAASEIAAKDAAACAPwAANEIAABDBAAAAwQAA8EEAABTCAABAQAAA0MEAAGhCAAAoQgAAIMIAANjBAABEQgAAUMEAAPDBAABoQgAAqMEAACDBAABAwQAAiEIAAFxCAAAAQQAALMIAALpCAAD4wQAADEIAAMBBAAAAQgAAnMIAABzCAAAAwQAAEMIAAHBCAAAAwgAAiMEAAKBAAAD4QQAA-MEAAJjBAACmQgAAmEEAAPDBAAAQQQAA4EEAABhCAAAMQgAA8EEAAKhBAAAowgAA4EAAAPDBAAAcwgAAgEAAALzCAADIQQAAiEEAAKDAAACgQQAAQEAAANDBAACCwgAAyEEAAFxCAADIQQAA2EEAAIC_AADIwQAAgEAAAAjCAABwQQAAZMIAAJZCAACIQQAA2MEAAGxCAABQQQAAHMIAAKBCAACMQgAAgD8AADhCAACKQgAAgD8AAHTCAADYwQAABMIAAMBBAAAgwQAAIMEAAI5CAABEwgAAXMIAAPjBAAAAwAAAfEIAAEBCAAAMwgAA8MEAABxCAAAcQgAAEEIAANBBAACAPwAAAMEAAOjBAABAQgAAGEIAABzCAADgQAAAwMEgADgTQAlIdVABKo8CEAAagAIAAKi9AAA0PgAAfD4AAEA8AACIvQAA-D0AAKC8AAARvwAAVL4AANg9AACOPgAAiL0AAEQ-AABUPgAATL4AAMi9AAA0PgAAMD0AAFQ-AACmPgAAfz8AALi9AACYPQAA4DwAADQ-AACgvAAAiD0AAES-AADYPQAAVD4AAOA8AAAQPQAA6L0AAEC8AADovQAA4LwAABw-AACGvgAA2r4AAAe_AABMvgAABL4AAIg9AAD4PQAAHL4AAES-AACGPgAAqL0AAIC7AABMvgAAQLwAAIC7AAA0PgAAkj4AAJK-AADIPQAAAT8AAIA7AAB8PgAAyD0AAFC9AADIvQAAND4AAJq-IAA4E0AJSHxQASqPAhABGoACAACAuwAAiL0AAOi9AAA_vwAAMD0AAKi9AAAEvgAAgDsAAGy-AACGPgAAgDsAAHC9AABwvQAABL4AABy-AADovQAAPL4AAEU_AAC4vQAAXD4AAIA7AABwvQAA6D0AADy-AABAPAAAQLwAAJi9AADgvAAAbD4AAFQ-AAC4PQAAML0AAPi9AAAEvgAAgDsAADS-AACAuwAAoLwAAIq-AAC4vQAAJD4AANg9AAAwvQAAgDsAAGy-AABAvAAAf78AAMg9AAAcPgAAuD0AAOC8AACAOwAA2D0AADQ-AAAsPgAAqL0AABA9AAD4PQAAJL4AALi9AACgPAAADD4AAEQ-AACeviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=IPT5pOGYIJQ","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14166941305576443377"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1731932805"},"16766147915715974681":{"videoId":"16766147915715974681","docid":"34-7-11-Z3BEB09623058A1D0","description":"In this math help video, we break down the integration by parts concept and solve the example problem: ∫e^x sin(x)dx. We'll guide you through the step-by-step process, from applying the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3662941/b9c6df045887d9da6450f71ae0706857/564x318_1"},"target":"_self","position":"10","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DcOn-pdwJ_z0","linkTemplate":"/video/preview/16766147915715974681?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math HELP - Integration by Parts - e^x*sin(x) dx - Calculus Basics - Keep Math EASY","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=cOn-pdwJ_z0\",\"src\":\"serp\",\"rvb\":\"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_E4sCggQkAYAEKyqLARABGniB8BECCAj3AAfxCQMFCfwCFvUB9vUBAADfAfX_C_sCAPHq__MC_wAAAQ76_AYAAAD2APMD-v8AAA_2BO0EAAAAJQ_8-PoAAAAOEO0C_gEAAPz6_fUD_wAADwIMBgAAAAAO_f7uAP__AA4NC_AAAAAACAcLA_8AAAAgAC1X6Lk7OBNACUhOUAIqcxAAGmAMDwAfFxDrvAoS5-7q5BL1AwHZ0O_-ABH5ABELBOH4Fe21IxL_EM8G8cAAAAARB-8XAgDzUfzjrPj-6AfjzfgoIH8LC_8K9xffBvoi8Q4F4QXYAxMA2yHjCRDMBlz9HhwgAC2r_1Q7OBNACUhvUAIqrwYQDBqgBgAAEEIAAODAAABgQgAAZEIAAAAAAACgQAAATEIAABDCAAB8wgAA4EEAAEBCAADowQAA0MEAAHBBAABYQgAA4MEAACxCAACowQAABMIAAIA_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-MEAADDCAADgQAAAOMIAAKDCAAAgQQAA4EEAAIC_AADowQAANEIAACRCAAAIwgAAXEIAAOBAAABwwQAA2EEAAKhBAAAUQgAAiMIAALjBAAAQwQAAAEEAAMDCAADgwAAAbEIAACjCAAAAwQAAgMAAAIBAAAAcwgAAgL8AAExCAAD4QQAAgMAAADDBAABEwgAA8MEAAHBBAABwQgAAUEEAAKDAAAD4wQAAdMIAANhBAADKQgAAqMEAAODBAAAQwgAAJMIAAKBBAABQwQAA2MEAAERCAADwwQAAuEEAAGDBAAAIwgAAHEIAAIBBAABgwQAAlEIAAJBBAABUQgAAlMIAAAzCIAA4E0AJSHVQASqPAhAAGoACAADovQAAQLwAAHw-AAA8PgAAgDsAAJo-AADgPAAAJb8AADy-AABAPAAA2L0AAAw-AAD4PQAA6D0AAAe_AADYvQAA0j4AAPg9AABwPQAAJT8AAH8_AADIvQAAcL0AAFQ-AABwvQAAoDwAAHQ-AAC2vgAA6D0AAI4-AACoPQAAEL0AAFA9AADYPQAAuL0AAOA8AADgvAAAsr4AAIK-AACIvQAANL4AAIg9AACIPQAAED0AAKC8AACuPgAAqD0AAHS-AACCvgAAiL0AACQ-AAB8PgAAXD4AAFQ-AACGvgAABL4AAEc_AACuPgAAuL0AADw-AAC4vQAAmD0AAKi9AACeviAAOBNACUh8UAEqjwIQARqAAgAAUL0AANg9AAAsvgAAN78AAFS-AACoPQAAoj4AAFC9AAAUPgAAmD0AAES-AAC4vQAAyL0AAHC9AACYPQAAQLwAAFS-AADqPgAAfL4AANo-AACIPQAAZL4AADS-AACgvAAAQLwAADC9AADIvQAAUL0AAMi9AAAwPQAAML0AABw-AAAkvgAAXL4AAAy-AACAuwAAZD4AADA9AAB0vgAA6L0AAAS-AAAUPgAA-D0AAHA9AACOPgAA6L0AAH-_AAC4PQAAJD4AAJi9AAAQPQAAQLwAAIA7AAAUPgAAoLwAACQ-AACgvAAA-L0AAOA8AAB0PgAAVD4AAEC8AADYPQAA4LwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=cOn-pdwJ_z0","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16766147915715974681"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"929589527320918630":{"videoId":"929589527320918630","docid":"34-11-16-Z0384C24C86D334AA","description":"R2 Linear Transformation...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/222919/c7eb82748e7b742c63467f893cec620c/564x318_1"},"target":"_self","position":"12","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-DZ7SWQvaaY","linkTemplate":"/video/preview/929589527320918630?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R2 Image and Kernel A=(1,1;1,1)","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-DZ7SWQvaaY\",\"src\":\"serp\",\"rvb\":\"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-QT7_AQA9QP-AgAE_wEHAADw-P__AOUA8gkA_QEA7_wA9PkAAAD_CQH3AAAAAA7-8Qn__gEAAAD_-gMAAAAV-fwA_wAAAAwBAQH_AQAA_fcB-fcCAAEPAwcPAAAAAPYOAQMBAAAAAAEBAwEAAAD58gIGAAAAACAALZbg3Ts4E0AJSE5QAipzEAAaYBkDAAwbMPYbAxX07woHOx7t3g_88f8A6_0A3TcK4Rz62Lv3AAAnFhvvwgAAAAQUFhnVAPtJHQfiKeULDAnq_Pk7fw0k1vDZCgLczRT5CAMAFBQ6DADmBP3uERfuKzroBiAALWrkWzs4E0AJSG9QAiqvBhAMGqAGAADgwAAAwMEAAERCAAAgQQAAkMEAACxCAABEQgAACEIAAEjCAAD4wQAAcMEAAOhBAACQwQAA4EEAAIC_AADYwQAAMEEAAPDBAAAkwgAAWMIAAOBAAAAMwgAAsMEAABBBAADQQQAAMEIAAEBAAAAAQQAAgEAAAFBBAAA0wgAACEIAAJbCAACAvwAAisIAAEBAAADoQQAAiEEAAKBBAAAUwgAAIEEAAKBBAABIQgAAMEEAABBCAABwwQAAQEEAAJjBAAAgQQAA8EEAAAzCAAAEwgAAUMIAAABBAACwQQAAYEEAADzCAACIwgAA2EEAAJBCAACAPwAABMIAAEDCAAAowgAAuEEAAFjCAAAAQQAAsMEAADTCAADgQAAAUEIAAIC_AABowgAAOEIAAMjBAADoQQAAyEEAAJRCAACEQgAAEEEAACDBAADIQgAAYMEAAIA_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-AAC4vQAA-D0AAOC8AAC4vQAAgLsAANK-AADCvgAANL4AAIC7AAAkPgAA-L0AAIg9AABwPQAAbL4AAOg9AACOPgAAED0AABw-AAA8PgAAfz8AAEA8AAD4vQAAND4AAJg9AABkvgAAgDsAAOC8AAAwvQAAFD4AAKg9AADoPQAA2L0AAEA8AABAPAAAcD0AABA9AABEvgAAkr4AALa-AAA8vgAAur4AADA9AACYvQAAiL0AAKa-AACYPQAAED0AANg9AABwvQAAjj4AACS-AABEPgAAMD0AAES-AADgvAAAGT8AABA9AAAUPgAAiD0AABA9AACYPQAA2D0AAHC9IAA4E0AJSHxQASqPAhABGoACAAAQPQAAoLwAADy-AAApvwAAhr4AALg9AACePgAAiD0AAIg9AAAkPgAAJL4AAMi9AABwPQAA4DwAAEC8AACYvQAA6L0AAB8_AAB8vgAAvj4AAFS-AADCvgAA4LwAAIi9AABAvAAAML0AAKC8AAAQvQAALD4AAIC7AAAQvQAAgDsAAEC8AAAQvQAA4DwAADC9AACYPQAAfD4AAOA8AACAuwAA4j4AADA9AAD4PQAAyL0AACy-AACYvQAAf78AANg9AABAPAAAED0AAMg9AABQPQAAfD4AAJg9AACAOwAAmD0AAHC9AABQPQAABL4AAOC8AAAkPgAAcD0AAFy-AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=-DZ7SWQvaaY","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["929589527320918630"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9675994748748149940":{"videoId":"9675994748748149940","docid":"34-7-6-ZFA77A0AF4A00A7FA","description":"A rock is dropped off the top of a 700m building.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4318707/e797a453156df6e265c5787588dcb6ef/564x318_1"},"target":"_self","position":"13","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dq1t1td7vX04","linkTemplate":"/video/preview/9675994748748149940?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How Long Does it Take Rock to Reach The Ground? Time, Velocity, Acceleration Physics Basics","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=q1t1td7vX04\",\"src\":\"serp\",\"rvb\":\"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-QDoAA3x__4CAAcH9wD2__8A1QkA_Qj3BADx-QgCBAAAAAD6AQ8GAAAA6___-voBAAAOAgoQBAAAAAf5_f_5AAAAEAT3_v4BAAAE6QLzAgAAAPj6-wkAAAAA-wQE_AAAAADzDgYGAAAAACAW_QMAAQAAIAAtwrHDOzgTQAlITlACKnMQABpgDwYASh7-1vkdIt4k_ecVHuMe5vPaF__4FgADH-7y_zfPkBjzABqnMAKsAAAA9RbJLtoAEWfyyrvkDffK-KbpHBl_FwDl7vME9eP3Rxg4C9gc3mQGALoGEwEt4QBJAPT6IAAtf8MlOzgTQAlIb1ACKq8GEAwaoAYAAMBBAAAcQgAAIEIAAGBCAAAwQgAAgD8AAFBBAACcwgAAUMIAAMhBAACwQQAAcMEAABTCAADgQQAAgkIAAIDBAAAAQQAAoEAAAEDBAAAgwQAA6MEAAHzCAAAAwgAAcEIAACxCAAA0wgAAAMIAABDCAAB4QgAAGEIAAIrCAABwQQAATMIAACzCAAD4wQAADEIAAABBAADCQgAAQEEAAMBAAACSQgAAUEEAAAhCAAAwQgAAkMEAANBBAAC4wQAAQMEAAExCAACYwQAAQMAAAPDBAADAQQAABEIAAKhBAADAQQAAGMIAAHBBAADwwQAAqEEAADhCAACIwQAA0MEAAHjCAAAwwQAAcMIAAJjBAADgwQAAQEEAADTCAACQQgAAGEIAACDCAABwQgAAEMEAAPjBAAAwwgAAAEEAADxCAACwwgAAjsIAAPhBAACgwQAAeEIAAGhCAAC4QQAARMIAAEBCAAAkQgAAFMIAADBBAAAoQgAAYEEAAKbCAABMQgAAaMIAAATCAAAUQgAALEIAAAjCAAA0wgAALEIAAAxCAAAAwwAAlsIAAHBCAAAQQgAAwEEAADBCAADgQQAAPEIAACBBAAAQQQAAOMIAAOhBAAAgQQAA-EEAAHjCAACAQQAAKMIAAATCAAAYwgAAqMEAAOjBAABAQAAAgEEAAKBAAABAwgAASMIAAIzCAADAwAAAVEIAANjBAAAwQgAAgEAAAEDCAAAwwgAAuEEAABTCAACawgAA2EEAAOjBAADIQQAAIMIAAIhCAAAAAAAAGMIAAEBCAAAAQQAAgL8AAJhBAAD4QQAA4EAAABzCAABQwQAAAEAAACxCAACawgAAgL8AAKRCAACQwQAAYEEAAMDBAAAAwAAARMIAAADCAAAoQgAAFEIAAATCAACowQAA6MEAAFzCAACAvwAAAEIAAIDAAACAQAAAIMEAAETCAABsQgAAmkIAAGBBAACIwQAAkMEAAEjCAACAQQAAQMAAACjCAAC4QQAAEMEAABhCAABEwgAAKMIAAIZCAAAgwQAAEEEAAKBBAACgwQAAdEIAAFDCAACQwSAAOBNACUh1UAEqjwIQABqAAgAAbL4AAK6-AAC-PgAABD4AACQ-AAC2PgAAyD0AABG_AADCvgAARD4AAJq-AAC-PgAAcD0AAMg9AACevgAAEL0AAGQ-AAAQvQAAnj4AADE_AABDPwAA-D0AABQ-AADePgAALD4AAAy-AADIPQAAdL4AAFw-AAABPwAAmD0AAJi9AAAEPgAALL4AAHC9AACgvAAA2D0AAKi9AAAJvwAAED0AADC9AABAvAAA6j4AAKi9AACOvgAAXD4AALI-AAAUvgAAjj4AAHS-AACGPgAABb8AALI-AAAkPgAA2L0AAHC9AAB_PwAAwj4AAGS-AAA8vgAAJL4AAIi9AAAQvQAAqD0gADgTQAlIfFABKo8CEAEagAIAAKK-AABAvAAABL4AACO_AAB8PgAAmD0AAIA7AADoPQAAcL0AAFC9AACevgAAQLwAAEA8AADovQAAcD0AAFC9AADgvAAAJz8AAKC8AADOPgAADL4AAIi9AAD4PQAAJL4AAKA8AAAcvgAAFD4AAIi9AADgPAAAmD0AAFA9AACYPQAAyL0AAAQ-AABwPQAAlr4AAKg9AADYPQAAPL4AAPg9AAAQPQAA-L0AAAQ-AABwPQAAPL4AADC9AAB_vwAARL4AAJq-AACWPgAAMD0AAKg9AABMPgAAJD4AAFA9AADgPAAAQLwAAEA8AABAPAAAQDwAAOA8AADYPQAAyL0AAHy-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=q1t1td7vX04","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9675994748748149940"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7735208249403175677":{"videoId":"7735208249403175677","docid":"34-11-15-Z0EB4302765EAC205","description":"Struggling with integration by parts? This video is designed specifically for calculus students who want a straightforward explanation of this essential integration technique. We'll walk you...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3354973/80da88f8b563188f749c4fbe225eec72/564x318_1"},"target":"_self","position":"14","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWvJhFE-ZbKo","linkTemplate":"/video/preview/7735208249403175677?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Integration By Parts - Easy Example Problem Solved | Keep Math Easy | Calculus Homework Help","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WvJhFE-ZbKo\",\"src\":\"serp\",\"rvb\":\"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_vX_AQD1-AYJDgb8ARUC8fr0AgIA5_0FAv_-AQAC8Qf1BQAAAPkE8QkHAAAA_ff3Avr-AAAG-gL2-QAAABoC_QD3AAAAFwn2CP4BAAD89Az8AgAAAB0FBwkAAAAA__gIBfz_AAAFB_7-AAAAAAn1CAMAAAAAIAAtS6PSOzgTQAlITlACKnMQABpgBwwAMhT26bfzFuLM5tEI_dvt48i-I_8V3QAHF-z3DyfMxQ0g_xfICwC0AAAAGgb_EvQA-WIK0q3qB_AGsvf5Ci5_9CAf6PgI-MXdG-wP-cz27_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-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-AABQPQAAVD4AADe_AAD4vQAAUL0AAAy-AABkPgAA2D0AAHw-AAC-vgAALL4AAKo-AAAEPgAAML0AADU_AAB_PwAAMD0AAPg9AABUPgAAQLwAAFA9AAAUPgAAB78AAKC8AAAsPgAA6D0AAOC8AACAuwAA6D0AAMi9AABEPgAAoDwAADy-AACyvgAARL4AAI6-AAC4PQAAgLsAACw-AABEvgAABD4AAAQ-AABsvgAA4LwAAEA8AABwPQAAZD4AAIo-AAA8PgAAZL4AANi9AABTPwAAqj4AANi9AABUPgAAVL4AAEw-AABQPQAAqL0gADgTQAlIfFABKo8CEAEagAIAAPg9AAD4PQAANL4AADm_AACGvgAAMD0AAII-AABAPAAAgDsAABA9AAAkvgAAjr4AANi9AAAEvgAABD4AAKi9AAC4vQAAzj4AAFy-AADCPgAAqD0AADS-AADYvQAAcL0AAIC7AAAQvQAAfL4AAFC9AABQvQAAED0AAKC8AAAEPgAAmL0AADS-AABEvgAAQLwAACQ-AADIPQAABL4AAHC9AAAwPQAADD4AADA9AABwPQAAiD0AAKg9AAB_vwAA2D0AAMg9AADgvAAA4DwAAHC9AACgvAAAPD4AANi9AAAUPgAAQLwAAHC9AAAQvQAAFD4AAKg9AADgPAAAcD0AAIA7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=WvJhFE-ZbKo","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7735208249403175677"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13861174396311818679":{"videoId":"13861174396311818679","docid":"34-2-3-ZF6049AED3A0BE4FA","description":"Created on LiveMath Maker...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4264160/440f355859fbaa27e47655a05082b94a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/k_b1WAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D__D5zqoC7wM","linkTemplate":"/video/preview/13861174396311818679?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Visualizing Ker(T) and Im(T) 3by3","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=__D5zqoC7wM\",\"src\":\"serp\",\"rvb\":\"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_E70BggQkAYAEKyqLARABGniB9v70AfwEAPQDBvcEAQAB8P8B-_v__wDw-P0F_wEAAALyB_YEAAAA-gL78QEAAAD1DAj59AABAAT7DAgDAAAACfP3C_sAAAD9AvcE_gEAAAb09wwD_wAA_g__Av8AAAACDhEE_wAAAPv5A_IAAAAA9_Dx_AAAAAAgAC1QGeE7OBNACUhOUAIqhAIQABrwAX_sIQGqBdD94PYuADUn4wC4H_gA6SLUAOTpEQDuOfwB_vL-AMwB3v_xLwcBuwcB_wb4LQAP2QUACt4u_wnlIgDYB-oAG-4RAT0VA_8Z29r-9S37_h0gBQHL4gH-xhnn_jPXGv4XG-b-2fTVADLVJQIf9fIFL9_-_N_rGATSOiH99_vfAOUJ7wH_ABQA3RP6CDwH6QQRMPD_7uoC-wD5D_0i7tz9IQH_-QLu-QDoQv4BAu4A9vDe_QQSJuYF8wLm-Pj09gLW5hL3FSL8_d0g-wkA3Qz0Ch787PoC9wQM8QDu3CgFBhDWAvHtLez75fEEBCAALVTpGDs4E0AJSGFQAipzEAAaYBMHAAjpGhAbFzzgFOfOD9HUCdrd3wP_6hMA-xPk7yLUvar8IP8uGyvIpwAAACngJycYAO5uFq4hIOcEKArI-B3tf0jtB-weB-nfp_kwGMowFS9CMgAYz-EcWtcFJCYHICAALTd2Izs4E0AJSG9QAiqvBhAMGqAGAACAQQAAQMIAAJBBAADgQAAAwMAAAHBBAACcQgAAmMEAANDBAADYwQAAEMEAAIBBAACIwQAANEIAAMDAAABQwgAAcEEAADjCAABgwQAAisIAAAxCAAAAQAAARMIAAIBAAACAQQAAOEIAAGDBAADAQAAAcMEAACRCAAAowgAA8EEAAGDCAADgQAAANMIAAPjBAAAEQgAA4EAAAAhCAAAcwgAAkMEAAADAAAAUQgAAIMEAAPhBAABowgAA0EEAABjCAAAwQQAAQMAAAFDCAACYwQAAisIAAIBBAACgQAAA4EAAAEjCAACGwgAAsEEAADhCAAAkQgAAiMEAADTCAAAswgAA-EEAAGDBAADgwQAAkMEAAHDBAADAwAAAMEIAACjCAAB8wgAA-EEAAKDBAABEQgAAoMEAALJCAAD4QQAAQEAAAGBBAAC-QgAAEMEAAMDBAAB4QgAA-MEAADhCAAC4wQAAVEIAAMDAAADgwQAAjkIAAJDBAAAAQAAAMEEAAAzCAADIwQAAZMIAANhBAACKQgAADEIAAOjBAACAQAAAQMAAABzCAACyQgAAqsIAAMBAAAC4QQAAiMEAADRCAACAPwAAGMIAALhCAADgwQAAEEEAACRCAACAQAAAmsIAAATCAADgQAAAUMIAAGRCAAA8wgAA4EAAANDBAAAkQgAAUMIAAJjBAACmQgAAgL8AACTCAABAQAAAQMEAAAhCAAAUQgAAKEIAAATCAAB4wgAAwMAAAEDBAACYwgAAFEIAAITCAABQQQAAEEIAAEBBAACgwQAAgEAAAIBAAABAwgAACEIAAGBCAABQwgAAqEEAABTCAACOwgAAwMAAAEDCAACIQQAAuMEAACBCAABQwQAAEMIAAChCAADQQQAADMIAAKZCAAC4QgAAwEAAALjBAAA8QgAA-EEAALjCAACgwAAAXMIAALBBAAAAwgAAMMIAACxCAACYwQAAPMIAAADAAABMwgAAhEIAAKpCAAAgwQAA6MEAAPBBAABcQgAAiEEAANhBAABQwQAAUMEAAMBBAACQQgAACEIAAMDBAABEwgAAyMEgADgTQAlIdVABKo8CEAAagAIAAHA9AACIvQAALD4AAFA9AABEvgAAMD0AAHS-AABsvgAAgDsAAFA9AACgvAAAgDsAABC9AABwPQAAqr4AAIA7AADIPQAAQLwAANg9AACSPgAAfz8AAAS-AABMvgAAqD0AACS-AADIvQAA6L0AAMi9AAAkPgAAVD4AALi9AADYPQAAmL0AAHA9AABwvQAABL4AAAQ-AACCvgAAqr4AADy-AABUvgAAqL0AAKA8AAC4vQAAUL0AAOA8AACoPQAAuD0AAIi9AACIvQAABD4AAJg9AAB8PgAA6D0AAKa-AABAvAAAGz8AAOA8AABsPgAA6D0AAMi9AABkvgAAUL0AAAy-IAA4E0AJSHxQASqPAhABGoACAACgvAAAuD0AANi9AAD2vgAAqL0AAEw-AACSPgAA2D0AAIA7AAA0PgAAQDwAAHS-AAD4PQAATL4AAEA8AABQvQAAUL0AADE_AACevgAAVD4AALi9AABEvgAA2D0AAEA8AAD4PQAAoDwAAEC8AAD4PQAAjj4AAHS-AACgvAAAQDwAAJa-AAAUvgAAiL0AAJi9AAAcPgAAZD4AABy-AADIvQAAZD4AADC9AAAMPgAAFL4AAEA8AACgvAAAf78AABw-AAAwPQAADD4AAOC8AAAQvQAAQLwAABA9AAAMPgAAoDwAADC9AAAcPgAAZL4AABw-AACIPQAADL4AACw-AADgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=__D5zqoC7wM","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":480,"cheight":360,"cratio":1.33333,"dups":["13861174396311818679"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"567709004"},"11447714209667179570":{"videoId":"11447714209667179570","docid":"34-9-16-Z9FCB21C253A26977","description":"P:Initial point, Q:Terminal point Components of vector PQ Length of the vector PQ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3070367/290eaff1a455b9868ccd92b544fd52e0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/jULrRgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D71MAWaSWQ8I","linkTemplate":"/video/preview/11447714209667179570?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R3 two points P and Q, vector PQ","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=71MAWaSWQ8I\",\"src\":\"serp\",\"rvb\":\"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_E4cBggQkAYAEKyqLARABGniB6gUC-v4CAPz58wD7Bf8BDxMD-vUCAgDd9wL8-foDAObw-wkC_wAA_gsHAgAAAAD3DwLx__8AAP_7_gP6AAAAAAX9-f4AAAAGA_YB_wEAAOoBAQD2AgABCPz7Cv8AAAACAvcQ_wAAAPwD_vYBAAAAAfwCEwAAAAAgAC26iNU7OBNACUhOUAIqhAIQABrwAX3-NwHO-8__9S34AR8Z4ACrGwoAAiQLANgWEwADGBIBAATuAPX7FgD3HhcAgSvXAQb4LgDs4fsA_dwQ__rJFQDaPQMAD9soAVcsBAAguv_-_T7p_xsXGwDY__gB8y_m_zkiCf_aKAgCtgvm_yoAFP0I1fkDDN_mA9vyBf_uEgEF1xXm_88A9vvbCyT97-kDCSoE7AMXMNX_9PbuAvHZJQUW9gcCPB3u-_7i_gHJB_X8EuwGCQD6EPcTHv72HRYOAeXSEvvy8_78FA0E8wga5Qz9tgUHEBYHBQYQ-PT2_QUJ6zUL_B8l9-kI6foP8cv_9SAALTDzFTs4E0AJSGFQAirPBxAAGsAHGebEviLOeb1vLXO9WsitPDPcQD2eYpW8fKGbPCLdFD2AxGU8S-huPhklQ7zzRXG9dOrqvThCEL22YBC8xVjmPaonc7xqjXy9DjEOvk0GkTxH6EK8Vpy6vaO1fbys5OM8bToSvrUkdjwtwC28_n4RPukqvb04lGu8RtgmPBwfkLs4LI08Uc2mPQAbEL3Whem85suLPXyWDL1uPM48IAe6PYKRN72Ispy85gSvu9yHFz2MndU82l8Rvcd2KL2mtP47RTFUvHnqDzz5yQm8zl-HPdPa9LzOgvU8hJ7NPcXfOz1Mhoi8ZrsSPva1nr2apIM8Fe7LvQnUj7tazJm8EuqzvNJwar3UAmG6tkGXPcoWibyOAdk8OD1ZvaXjoLwCj568zhaQu4tntT2RpvA82SU6PpjDzr2Q5Ac7NZbwPbH3h72NgRI8yx7XvHZhtTwN_Cg7ZrsCPnxGAbz7k_i62VPMvb2PfjzwdIK89ikivVIxiT0wCic84H06vUYhbj0SqQK8FsujvBUnDrxRESc9A3s8PjhTvLxYZMc7XDI4PRdbLbxmIKu4oPOkPF8eFz0ws_i6KZbbvTBqkLuM2RK8WXrjvEaxHD2Jv1w8ogsqPaVdhj3ZfQU8gRndvGS1lDyRAlU8QnepvWROobx1hQg8hWbyvMlOKT11T3s6Or0hvb2x1jwHu2M4wCarPC0PDLxa96w70dUxvWy6eTvDBrA7siB-PcA9bz2P5BS6CM6kvRsRqTt87BE7asJ2PMOrNj2FTL25EzPSO4CSjD3S4Q45i3YrPSCXWD32qF-4RpYsPpezkrxJqHY4WJygPAtP3jzRj8U48UgMvm96_DyC1WW4sORKPTVrPz16TQm5IjJxvRmJdb24DsQ5PkKdveiqVL2Wh065296uvZGdor3y_oI4l_y0PNXtWrqGime4Xlz0vPWzAj09u4G5HzozPejxwL3ynks5FwMVPb98dz09Bwc51FY2vc0qAr3Vfiu44oNIvWA8gz3S8UG4jpTNPX2Smz2zoFQ3okRrvSS5fLz9dia4qvkFPR8OMr3B4b83y16bPS4PiDwCtAO2QDllvf5l173OcpM4y-tSPHxi3b1M24o4cv-cPXc7sTyoF8A1jcIEvcxVvTtGP2a388-3PftNUj3ELCK5uF2Tvc-rkL3adUS417OxPNLA8rq8Kre1uMPsu_MFLT13_v-0YQZ5PfM6Er5L56m4zn3mOzwflD29Er84cDNLPTSzyz3Z06e3NuUKvSBjab09M_y3yVnYPWJChj05jXG4IAA4E0AJSG1QASpzEAAaYD_7AC7cK98mKijvAN3-Ltb3zOzy3fb_-5n_QOypH_753OrpFv8SqimukgAAABTt8BkkAPp_BqzSGdc1N_PO4gnkeA4aJa39ET0coTcMPubJ-9ICLgDK6K8uTcS0ChQqSiAALbXZDTs4E0AJSG9QAiqvBhAMGqAGAAAIwgAA4EAAAPBBAAAgQQAAsMEAANhBAACCQgAAEEIAAFTCAADwwQAAiMEAAGBCAACwwQAAUEIAADDBAAAEwgAAsMEAAEzCAADQwQAAEMIAAIA_AABAwgAA0MEAAKDAAACWQgAAqEEAAHjCAADYQQAA4MAAALhCAAAAwgAA6EEAAJLCAAA0wgAAfMIAAFDBAADAQAAA6EEAACxCAAA8wgAAcMEAAABBAAAAQgAAgEAAAPjBAABUwgAAQEAAAPhBAACAvwAAUEEAAKBAAABgQQAAFMIAALDBAABQQQAAAMEAAHzCAAAIwgAAkEEAAABAAAAIQgAAwMEAAILCAACgwAAAMEEAAIjBAABAwAAAMMEAABBBAACoQQAA_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-AADgPAAAmD0AABA9AABwvQAAuL0AABS-AADavgAAgLsAAGQ-AACIvQAAML0AAKg9AABkPgAAiD0AACQ-AADIPQAAoDwAADw-AACKPgAAfz8AAFy-AABMPgAABD4AAK6-AACAuwAA6D0AACS-AAAUvgAAXD4AAJg9AACgPAAAmL0AAFC9AAAwPQAAPD4AABA9AACIvQAAmr4AAKK-AACGvgAAJL4AAFC9AABQPQAAir4AAIq-AACaPgAAHL4AAEy-AABsvgAAEL0AAFS-AACKPgAADD4AADy-AABwPQAABT8AADw-AABwPQAAij4AAKC8AABQPQAABD4AALi9IAA4E0AJSHxQASqPAhABGoACAACqvgAAuD0AABC9AABBvwAAFL4AAKi9AAC2PgAA2L0AAPg9AACaPgAAMD0AAIK-AADYPQAAHL4AAFS-AAAwPQAAJL4AAEs_AACgvAAAiD0AACw-AAAkvgAAND4AAOC8AADIvQAAgj4AAKC8AAAEPgAAoDwAADC9AACIPQAAmD0AAHy-AAB0vgAAyL0AAPi9AACiPgAAgDsAAJa-AAAsvgAAjj4AAIg9AAA8PgAABL4AABw-AAA8PgAAf78AANi9AADIvQAADL4AAGQ-AABQPQAAkj4AAKC8AABsPgAAMD0AAKC8AABMPgAAgLsAANi9AAB8PgAAjr4AALK-AABwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=71MAWaSWQ8I","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11447714209667179570"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1516436451"},"9331002045931199217":{"videoId":"9331002045931199217","docid":"34-1-15-ZAE5F3B14DBF2DABF","description":"TeCa creates online math courses for kids by grade level from K-5. All our math lessons are delivered through attractive videos, in which we extensively use visual images, graphics, animation and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3072928/9da357ff1836246fe2fd80948fbb72c5/564x318_1"},"target":"_self","position":"17","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZlMksOd1ATY","linkTemplate":"/video/preview/9331002045931199217?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lesson 8 . More Than and Less Than Facts | Grade 1 Math | Math for Kids","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ZlMksOd1ATY\",\"src\":\"serp\",\"rvb\":\"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_E-8DggQkAYAEKyqLARABGniB-_8B__sGAPT4CAECBP4BAAP_-Pn-_gDu_Ab7BgAAAAn5Af0AAAAABAX3AQIAAADx9_EH-wAAAAsM-wEEAAAACggK_gMAAAAJDgMA_gEAAPXy_wED_wAABwIF-P8AAAAWBv3_____AAYNCgkAAAAABgIAAAAAAAAgAC3En-M7OBNACUhOUAIqcxAAGmD1DgAyBu8Xrf733cfn2CQMBAjbANgF__vtAPcGAdPlFuy5Jhb_AsAW6LcAAAAZ_BQTDwC_ZQe2zRwa_BrwxfP893_HMQL_Ghnx0gXjr_4RHA7iIyAA7A_IIQO_C0EGMRUgAC37-zU7OBNACUhvUAIqrwYQDBqgBgAAGEIAALjBAAB8QgAAYEEAAIA_AACsQgAAUMEAALzCAACQwQAAkMEAADBBAACWQgAAmEEAAIBBAABgQgAAoMEAABBBAAAgwgAAyEEAADBCAABYQgAAQMEAAIDBAAAYQgAAcEEAAMBAAAAwQQAAGEIAABBBAADYQQAAAMIAAARCAAAQQQAAaMIAALjBAABAQAAAkEIAAMhBAABYQgAA6EEAADBBAABAQAAAnEIAAOBAAACoQQAAgkIAAP5CAAAgQQAAYEIAAEDAAACYwQAAYMEAAGjCAABQwQAA6EEAADDBAADgQQAAgMEAABBCAABgwQAAPMIAANDBAAC4wQAAwMAAAPBBAAAMwgAA4EAAANhBAAAEwgAAEMEAAIpCAAC6QgAAuMEAALhBAABgQgAAQMEAAPDBAACIQQAAmEEAAMDAAABgwgAA-EEAAAhCAABwQQAAIMEAACBCAAAIwgAAWEIAAGBCAACwQQAA-EEAABBCAAAkwgAAlsIAAERCAABAQQAAGMIAAFxCAACkQgAAcMEAAPDBAAAgwQAAgEAAALjBAACgQQAAgMEAABjCAABkwgAAUMIAAKBBAABEQgAAAMIAAODAAAD4QQAAPEIAAADBAACcQgAAeMIAAK7CAAAAAAAAHMIAAFRCAACAQQAAAMEAABBBAABMwgAAUMEAAKDBAAC4wQAAEMIAANhBAAAwQQAAKMIAAKBAAABIQgAAPEIAABDCAADYwQAAoMIAAJjBAADgwAAAyEEAAEDCAAAMQgAAmMEAABxCAABkQgAAKEIAAKZCAABwQgAAUMIAAKpCAAAEQgAAAMIAAIBAAACgwQAAnkIAAEDCAACQwQAAQEAAAFzCAAAsQgAAwMEAAAxCAAAAwAAAeEIAAABCAAC4wQAAIMIAAHDBAACWwgAAYEEAAIDAAAC-wgAAwEAAABhCAABQwQAAqMIAAEDBAABAQAAALMIAAEzCAADAwAAAyMEAAODAAAAAAAAA4MEAALRCAACEwgAAcEEAACBBAACwwQAAEEIAAGBBAAAowgAAAEIAAIDBAADgwAAAAEAAANBBIAA4E0AJSHVQASqPAhAAGoACAADGvgAAQb8AALg9AAAwPQAAXD4AAAs_AADavgAAe78AAFS-AABEvgAAQDwAAKq-AABQPQAAqj4AAIa-AACovQAABz8AABC9AACYvQAARz8AAHU_AAAUPgAAHD4AACy-AAAQPQAA9r4AAB8_AAA8vgAAzj4AACQ-AAADPwAAPD4AABw-AAAMPgAAfD4AAHw-AADCPgAAED0AADS-AACIPQAAUD0AANq-AABFPwAAbD4AACS-AADIvQAAUL0AAJa-AADIvQAAnr4AABC9AAAhvwAAtj4AAMY-AADYPQAA2D0AAH8_AACAuwAAmr4AAIq-AAD4vQAA1j4AAII-AADovSAAOBNACUh8UAEqjwIQARqAAgAA-L0AAOC8AADIvQAAC78AAOC8AABwvQAABT8AAJg9AAAsPgAA6L0AACS-AABAPAAAjr4AAES-AAAwPQAAyD0AAKA8AAAjPwAAQLwAABc_AABAvAAANL4AAJa-AABwvQAAML0AACS-AAAUPgAA6D0AAIA7AAAQvQAAEL0AADQ-AACovQAAEL0AAJg9AAAQvQAAfD4AABC9AACCvgAAXD4AAK4-AABMvgAAgDsAAKC8AACAOwAAyD0AAH-_AADKvgAADL4AAOi9AACIvQAAdD4AAGy-AABUvgAAhj4AAEw-AACovQAA4LwAACQ-AACaPgAAgDsAAEy-AACWvgAADD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ZlMksOd1ATY","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9331002045931199217"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8795154523134011931":{"videoId":"8795154523134011931","docid":"34-5-9-Z4DE5D571B163C406","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2714630/e86ff19f01b0427e52d502ecf88245ef/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/o9LwiQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dd_6R7PWDQIA","linkTemplate":"/video/preview/8795154523134011931?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"R2 vector sum AB+BC+CA=0","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=d_6R7PWDQIA\",\"src\":\"serp\",\"rvb\":\"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-v4CAO70__8BAgABGwABCvUCAgDo-vz-BP4BAOYB9_YA_wAA-QQE9wcAAADy-gX7-wAAABf3-_n0AAAABgcB__4AAAAAF_YH_gAAAP33Afn2AgABEAQHEAAAAAAADvnxAAAAAPoBBQAAAAAAFAH5AAAAAAAgAC26iNU7OBNACUhOUAIqhAIQABrwAXMUFP3V9aEBvgcAAOQPzgG_6ff_Iy7aAMn64gHcMLgB2voF__knBv7zC9UBgTP_AQgH8v3s1c8AW9wMAPbUHgD28B4BC-YNASs4EgIGqwv_Bh4b_hQJFP_9vNgA7ET4ACXtF_scIeD90PLMACz6NwERChsFItQV_dXADwGt-hwB7BjM_doPDAQHGQsGAvwRDSEm-QwXVQX92r7lAwrvNQMcxQEDCTfN_R0kCQbTPRQD39LvDQPK-gYEQBr_DRIHA7vxGfTszhPvLAIDAdsF-f7r9AINSx74Atvr-APnJQIDCwYM6tcf7vEWvfUB0u_z-CAALVp4-Do4E0AJSGFQAirPBxAAGsAHG0mKvvrZBDwB8T-9pZ2PvUTkz7yFS728JZQuvjC80j2c96S8n1s4PucTfr3YCj-8irm6vRAsHb0tVMg8jBEJPl0WM71HJpu9hsrfvV-T2roFpei8jkCsvaHxKT2aqZi7UANBvZinU72sg009ILQuPhMvKr29qF08vlZYvYkiO7oXObo8l9SeO6xbmL2h0Je8Gk_kPTr5Pj3rrxI9LlmlPWNCTLwfCFo8CT2BPSJhnj2qFcE8FpJivRFedbs-9NO8UpCpPL93AD0hG608WzNoPHzuJL2oZKk7Y5z_PL7Mg7szCjQ7by7JPVerO73kROC82OuyvaxUUDwb6Ta9hz2jvZpbIT0AkNO8KjuYvAGUNT3EpqG7ZDvEvRV1gTykC3u8CwL1vHv8Obxw75o8qTLsPfE_g70RFbI7ysS9PbOdSrw7Kf47iyE0PahRKD3fYYe7U3nbPdbxDj0NRja8hI4MPR-CKryWlaa8ADs3vQxA47wtvpe8LY-aPIZ7wDw9Eqs7TzigPXbCqz0-3hQ8Km8XPlYZzL33wxW7EqXdvcQp77tF4B-8w_ARPSxFoj0mRRY7jwyoPATHpbxfMgK8Mc5fvASeaj2jZDG6A8EtPey8cr2XuEG4mHx9vR7GZD3dUAK8QvnMu8UXUj2LKgs8d9yLvAnARL3KY5O7HUhNvLWSTD0XiZS5ioaWvIvJ1TvIa5A7Xy6dvfnEdb30ysE4IClCPiCMDDw7ZsS47c9qvdX_nrzq-Xu6xxFLvSBOlrzX6Au7eVgIPrggvrsPtpE4HHoLPeLGEjxNLyi6nGniPSAulD34b0u5ToABPgLogbxiQG-5_yNDvmZn0b088pA5unaYPIophzzwVNm6VF22vHGHFzvQpH66EvVCvSIY5714Guo3IR3-vS9SA72GXp04RprYPbIzAD3WC5A4uVP6vT0irrvPU-q4o5SwvU_pAL7a2Wg5NpTavTf5wj1KL1W3LxSVvSs0EL034tO4oI13PdGK-bxdsp64hA2_PSsW3z3zDaK3csJkPd__Aj1sDQw4PBgMvQkaM7w9KDM4T6XAPZvHQT2yyNy4yuEDvhDXHjyX_U43x7hHPaMkj70T-7g4IhcMPlmi8z0-YkK4wFWFOyLpKrvNBwO4DZ6jPU7I2Lx2H7-40ZLHvHvngjt6Bzk3BmM0vpjiJb0p4IO2LkK3PX76FTtd13k3P47GPSveCL6HIrS4QstfPWMatz1ukI44YJqYPFua-z2Erf24Mkl2vaQj77wKWy24MWjXPJlMgL1Z5Qq2IAA4E0AJSG1QASpzEAAaYCkDAEcAIfUZMfTnDNQtM8AV3tbvtfL_CIH_IiHwAur3z6716v8EBCTimAAAABve_RzyAOh5_-0dD_dpK_ne1kgyfgYBPob4PTTz1h0u_eL4GPM2MQDn_No_IuSlFCj9ayAALWbxEDs4E0AJSG9QAiqvBhAMGqAGAAAMwgAAAEIAAAxCAADgwAAAmMEAAFhCAABcQgAAYEEAAMjBAABowgAA4MEAAADAAACIwQAAOEIAABTCAABAQAAAAMEAAGDCAABcwgAAEMIAANBBAAA4wgAAgEAAAABCAABUQgAAIMEAAOBAAACAQQAAIEEAAIBBAAB8wgAAOEIAAKzCAACwQQAATMIAAIA_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_AAAsQgAAwEEAAMbCAABIwgAAHMIAAIBBAADIwQAAPMIAADRCAABwwgAAmMEAACjCAACQwQAAKEIAAOhBAABUwgAA4MEAAHBBAAAsQgAAQEAAAGhCAADIQQAAgMEAAIjBAAA4QgAAUEIAAJjBAAD4QQAAcEEgADgTQAlIdVABKo8CEAAagAIAAJi9AAC4vQAAgj4AAMg9AAD4vQAAUD0AADS-AADmvgAAmL0AAHA9AAAkPgAAFL4AAOA8AADYPQAAmL0AAIA7AABEPgAAiD0AAJg9AABEPgAAfz8AABA9AADgvAAAyD0AAOi9AACCvgAA-L0AAKi9AABwvQAAgj4AALg9AAAcPgAA6L0AAHA9AABQvQAAcD0AABw-AADYvQAAlr4AAFy-AAD4vQAAdL4AAMi9AABQvQAAgr4AAES-AAAcPgAAoDwAAAS-AACavgAAXD4AAIA7AABEPgAAyD0AABS-AACgvAAAJT8AAAQ-AAAMPgAAbD4AAKA8AAA8vgAAcD0AAMg9IAA4E0AJSHxQASqPAhABGoACAACGvgAAED0AANi9AAAnvwAA2D0AAKC8AAAkPgAAUL0AAEC8AAAEPgAAyL0AABS-AADYvQAAZL4AAPi9AABQvQAAhr4AAE8_AADYvQAAgDsAAJg9AACevgAA-D0AAIg9AACovQAALD4AAHC9AAAQPQAAuj4AAEC8AAAQPQAAgLsAAIK-AABwvQAAEL0AABC9AADGPgAA4LwAAHS-AAAUvgAAnj4AAIC7AACGPgAAQDwAABA9AAAcPgAAf78AAJi9AABAvAAA2D0AAKA8AAC4vQAA2j4AACy-AAAcPgAAEL0AAEA8AACoPQAAyL0AAIC7AAAUPgAAQDwAAIq-AADovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=d_6R7PWDQIA","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8795154523134011931"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"315810406"},"7426983829137154176":{"videoId":"7426983829137154176","docid":"34-6-12-ZE82533078089E6E1","description":"In this Video you will be able to determine the measure of one Exterior angle of a regular polygon. This video also helps solve equations using the formulas. This video contains plenty of examples.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4580465/82e854c6bf5ed96ccc2bc8cf0a09d7f0/564x318_1"},"target":"_self","position":"19","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DDKcS1rexZfs","linkTemplate":"/video/preview/7426983829137154176?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Finding the measure of One Exterior Angle of a Regular Polygon | Matatag Curriculum | Grade 7","related_orig_text":"mathkeep","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathkeep\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DKcS1rexZfs\",\"src\":\"serp\",\"rvb\":\"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_AID_AD4BwYJAAf8AhYC_PH1AgIA5vIP-AP-AQDy_AsJ-wAAAAYN_wYEAAAAA_r8-_39AQAbBu_-BAAAAA_8-wb6AAAABhYA-v4BAAD4CfUCA_8AAPkD_gwAAAAAFAwCDv4AAAADAPn_AAAAAPwGBg7_AAAAIAAtXEXKOzgTQAlITlACKnMQABpgKRAAMBsk59P-CcT_9OkABscQzvTs7v_ngf8D7xnkE_rSqOL8_2LNKfyiAAAAMObbLg8A0HPn3aBFLv4gAODwAwV95DcFLw0u2tgE5sYoBgzj-vntAO7mGQQK89dMU1s4IAAtczYaOzgTQAlIb1ACKq8GEAwaoAYAAIjBAABAwAAAcEEAABzCAADAwQAAREIAAK5CAADwQQAAEMIAAEBBAAAAwAAAuMEAALLCAABAwgAAUEIAAJhBAAB4QgAAhsIAAGDBAAAAwgAABMIAACjCAABowgAAikIAAEDAAACAQAAAIEEAAIjBAABgwQAAQEAAAMDBAABAQQAAZMIAACxCAACIwgAAYEEAAOBBAADGQgAAHEIAAKZCAABQQQAAMEIAANhBAAAwQQAA4EEAAFjCAAAIQgAA4EEAAIBBAACYQQAAgL8AABTCAAAwwgAAMEIAAPBBAABAQAAAgL8AADDBAACYQQAAOEIAADBBAACKwgAA6MEAAOjBAACAQQAAGMIAAJBBAACmwgAA-MEAANDBAADoQQAAuEEAAK7CAABgQQAAHEIAADzCAACowgAAQMEAAIC_AACYQQAALMIAACRCAAAgQQAABMIAAIBBAACUQgAAUMEAAPjBAAAkQgAABMIAAMBBAAAwQgAAUMIAABzCAACAQQAAfMIAAJjBAACgQAAAVEIAAMBAAACqwgAAbEIAANBBAADQwQAAEMEAAKBAAAA8wgAACEIAAIA_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_AAD6vgAAoDwAAAS-AAAEvgAAyL0AABQ-AABEvgAARL4AABQ-AACYPQAAuD0AAOI-AAB_PwAA6D0AAJo-AAC4PQAAmD0AAIC7AADoPQAAhj4AAKo-AABEPgAAXD4AAI6-AADYPQAA6D0AAPg9AAAwPQAAjj4AAFS-AAC2vgAA0r4AAFw-AABQvQAADD4AANa-AACSvgAAcL0AABw-AAC4vQAAnj4AAES-AABEPgAAUD0AADA9AABkPgAAyL0AAHC9AAA3PwAAqL0AAEC8AABsPgAAjr4AAIC7AACyPgAAgDsgADgTQAlIfFABKo8CEAEagAIAAMK-AAC4PQAAgDsAAFO_AACgvAAALL4AAGw-AAC4PQAAUL0AAMi9AACYvQAAFL4AAMK-AABsvgAA6D0AAIA7AAAwPQAAGz8AAIg9AAC-PgAABL4AAAS-AAA8vgAALL4AAFC9AAAQPQAAiL0AAHC9AABAPAAAiD0AADC9AAAUPgAAML0AABy-AAD4PQAAcL0AAOg9AACgvAAATL4AAOg9AABAPAAABL4AAPi9AAAkPgAAVL4AAMg9AAB_vwAAqr4AAES-AAD4PQAAFD4AAEA8AACIPQAAgDsAAJg9AACAOwAAgDsAAIg9AADoPQAAoLwAAPg9AACgvAAAUL0AABA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=DKcS1rexZfs","parent-reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7426983829137154176"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"12244364796073570175":{"videoId":"12244364796073570175","title":"Gram Matrix and Areas","cleanTitle":"Gram Matrix and Areas","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=yAvhytH1Dg4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/yAvhytH1Dg4?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":106,"text":"1:46","a11yText":"Süre 1 dakika 46 saniye","shortText":"1 dk."},"views":{"text":"2,9bin","a11yText":"2,9 bin izleme"},"date":"28 eki 2011","modifyTime":1319760000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/yAvhytH1Dg4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=yAvhytH1Dg4","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":106},"parentClipId":"12244364796073570175","href":"/preview/12244364796073570175?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/12244364796073570175?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10152830470014759263":{"videoId":"10152830470014759263","title":"Vector p is on the plane spanned by a , b","cleanTitle":"Vector p is on the plane spanned by a , b","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8U690lgNqn8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8U690lgNqn8?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":174,"text":"2:54","a11yText":"Süre 2 dakika 54 saniye","shortText":"2 dk."},"date":"17 şub 2012","modifyTime":1329436800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8U690lgNqn8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8U690lgNqn8","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":174},"parentClipId":"10152830470014759263","href":"/preview/10152830470014759263?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/10152830470014759263?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11282776617723500526":{"videoId":"11282776617723500526","title":"How does \u0007[math\u0007] \u0007[keep\u0007] your secrets safe?","cleanTitle":"How does math keep your secrets safe?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=A4NAHDKNyYI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/A4NAHDKNyYI?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":"d3d3LnlvdXR1YmUuY29tO1VDZ0NKRFVDUGFTbXk0a2NQUFdJMk1BUQ==","name":"Pihedron","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Pihedron","origUrl":"http://www.youtube.com/@pihedron","a11yText":"Pihedron. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":249,"text":"4:09","a11yText":"Süre 4 dakika 9 saniye","shortText":"4 dk."},"date":"3 nis 2025","modifyTime":1743638400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/A4NAHDKNyYI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=A4NAHDKNyYI","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":249},"parentClipId":"11282776617723500526","href":"/preview/11282776617723500526?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/11282776617723500526?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1719932679614654148":{"videoId":"1719932679614654148","title":"R2 Spectral decomposition of Symmetric matrices","cleanTitle":"R2 Spectral decomposition of Symmetric matrices","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=PQJa7HrhblY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/PQJa7HrhblY?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":270,"text":"4:30","a11yText":"Süre 4 dakika 30 saniye","shortText":"4 dk."},"date":"20 eyl 2012","modifyTime":1348099200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/PQJa7HrhblY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=PQJa7HrhblY","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":270},"parentClipId":"1719932679614654148","href":"/preview/1719932679614654148?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/1719932679614654148?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5793957137880115035":{"videoId":"5793957137880115035","title":"R2 Four Subspaces with 2 by 2 matrix A","cleanTitle":"R2 Four Subspaces with 2 by 2 matrix A","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=beX9vAGMvIc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/beX9vAGMvIc?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":184,"text":"3:04","a11yText":"Süre 3 dakika 4 saniye","shortText":"3 dk."},"date":"30 eyl 2012","modifyTime":1348963200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/beX9vAGMvIc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=beX9vAGMvIc","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":184},"parentClipId":"5793957137880115035","href":"/preview/5793957137880115035?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/5793957137880115035?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15019480311143563589":{"videoId":"15019480311143563589","title":"R3 Cross Product u x v is perpendicular to u and v","cleanTitle":"R3 Cross Product u x v is perpendicular to u and v","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=YTSMXx4IaKI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/YTSMXx4IaKI?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":190,"text":"3:10","a11yText":"Süre 3 dakika 10 saniye","shortText":"3 dk."},"views":{"text":"2bin","a11yText":"2 bin izleme"},"date":"17 şub 2012","modifyTime":1329436800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/YTSMXx4IaKI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=YTSMXx4IaKI","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":190},"parentClipId":"15019480311143563589","href":"/preview/15019480311143563589?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/15019480311143563589?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3219824300707228821":{"videoId":"3219824300707228821","title":"\u0007[Math\u0007] Master App to \u0007[Keep\u0007] \u0007[Math\u0007] Skills Sharp! FYI- the \u0007[Math\u0007] bone is connected to The G...","cleanTitle":"Math Master App to Keep Math Skills Sharp! FYI- the Math bone is connected to The Game bone!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=jp0TonTsz4I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/jp0TonTsz4I?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":"d3d3LnlvdXR1YmUuY29tO1VDLVNWT0Mxb09TbkU0NUM3Y3B5cFRsUQ==","name":"Redneck Bruce Lee","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Redneck+Bruce+Lee","origUrl":"http://www.youtube.com/@RedneckBruceLee","a11yText":"Redneck Bruce Lee. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":488,"text":"8:08","a11yText":"Süre 8 dakika 8 saniye","shortText":"8 dk."},"date":"15 şub 2025","modifyTime":1739577600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/jp0TonTsz4I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=jp0TonTsz4I","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":488},"parentClipId":"3219824300707228821","href":"/preview/3219824300707228821?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/3219824300707228821?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6584806287041640540":{"videoId":"6584806287041640540","title":"R2 dot product and angle between two vectors","cleanTitle":"R2 dot product and angle between two vectors","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_WfdEsGrt6U","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_WfdEsGrt6U?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":193,"text":"3:13","a11yText":"Süre 3 dakika 13 saniye","shortText":"3 dk."},"date":"25 tem 2012","modifyTime":1343174400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_WfdEsGrt6U?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_WfdEsGrt6U","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":193},"parentClipId":"6584806287041640540","href":"/preview/6584806287041640540?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/6584806287041640540?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14166941305576443377":{"videoId":"14166941305576443377","title":"R2 Quadratic form A=5-sqr3,-sqr33 Ellipse","cleanTitle":"R2 Quadratic form A=5-sqr3,-sqr33 Ellipse","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=IPT5pOGYIJQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/IPT5pOGYIJQ?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"https://www.youtube.com/channel/UCFQNmX0e9Zy_Gc7pxLzpnAA","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":188,"text":"3:08","a11yText":"Süre 3 dakika 8 saniye","shortText":"3 dk."},"date":"19 nis 2013","modifyTime":1366329600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/IPT5pOGYIJQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=IPT5pOGYIJQ","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":188},"parentClipId":"14166941305576443377","href":"/preview/14166941305576443377?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/14166941305576443377?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16766147915715974681":{"videoId":"16766147915715974681","title":"\u0007[Math\u0007] HELP - Integration by Parts - e^x*sin(x) dx - Calculus Basics - \u0007[Keep\u0007] \u0007[Math\u0007] EASY","cleanTitle":"Math HELP - Integration by Parts - e^x*sin(x) dx - Calculus Basics - Keep Math EASY","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=cOn-pdwJ_z0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/cOn-pdwJ_z0?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":"d3d3LnlvdXR1YmUuY29tO1VDbXJCdGxTbE1EdENXdDd5aEV1VzJBdw==","name":"NateDawgg500","isVerified":false,"subscribersCount":0,"url":"/video/search?text=NateDawgg500","origUrl":"http://www.youtube.com/@Natedawgg500","a11yText":"NateDawgg500. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":267,"text":"4:27","a11yText":"Süre 4 dakika 27 saniye","shortText":"4 dk."},"date":"17 oca 2025","modifyTime":1737072000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/cOn-pdwJ_z0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=cOn-pdwJ_z0","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":267},"parentClipId":"16766147915715974681","href":"/preview/16766147915715974681?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/16766147915715974681?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"929589527320918630":{"videoId":"929589527320918630","title":"R2 Image and Kernel A=(1,1;1,1)","cleanTitle":"R2 Image and Kernel A=(1,1;1,1)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-DZ7SWQvaaY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-DZ7SWQvaaY?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":158,"text":"2:38","a11yText":"Süre 2 dakika 38 saniye","shortText":"2 dk."},"date":"13 ara 2011","modifyTime":1323734400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-DZ7SWQvaaY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-DZ7SWQvaaY","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":158},"parentClipId":"929589527320918630","href":"/preview/929589527320918630?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/929589527320918630?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9675994748748149940":{"videoId":"9675994748748149940","title":"How Long Does it Take Rock to Reach The Ground? Time, Velocity, Acceleration Physics Basics","cleanTitle":"How Long Does it Take Rock to Reach The Ground? Time, Velocity, Acceleration Physics Basics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=q1t1td7vX04","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/q1t1td7vX04?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":"d3d3LnlvdXR1YmUuY29tO1VDbXJCdGxTbE1EdENXdDd5aEV1VzJBdw==","name":"Keep Math Easy","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Keep+Math+Easy","origUrl":"http://www.youtube.com/@KeepMathEasy","a11yText":"Keep Math Easy. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":260,"text":"4:20","a11yText":"Süre 4 dakika 20 saniye","shortText":"4 dk."},"date":"29 oca 2025","modifyTime":1738108800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/q1t1td7vX04?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=q1t1td7vX04","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":260},"parentClipId":"9675994748748149940","href":"/preview/9675994748748149940?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/9675994748748149940?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7735208249403175677":{"videoId":"7735208249403175677","title":"Integration By Parts - Easy Example Problem Solved | \u0007[Keep\u0007] \u0007[Math\u0007] Easy | Calculus Homework Help","cleanTitle":"Integration By Parts - Easy Example Problem Solved | Keep Math Easy | Calculus Homework Help","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WvJhFE-ZbKo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WvJhFE-ZbKo?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":"d3d3LnlvdXR1YmUuY29tO1VDbXJCdGxTbE1EdENXdDd5aEV1VzJBdw==","name":"Keep Math Easy","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Keep+Math+Easy","origUrl":"http://www.youtube.com/@KeepMathEasy","a11yText":"Keep Math Easy. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":181,"text":"3:01","a11yText":"Süre 3 dakika 1 saniye","shortText":"3 dk."},"date":"14 oca 2025","modifyTime":1736812800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WvJhFE-ZbKo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WvJhFE-ZbKo","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":181},"parentClipId":"7735208249403175677","href":"/preview/7735208249403175677?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/7735208249403175677?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13861174396311818679":{"videoId":"13861174396311818679","title":"Visualizing Ker(T) and Im(T) 3by3","cleanTitle":"Visualizing Ker(T) and Im(T) 3by3","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=__D5zqoC7wM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/__D5zqoC7wM?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":189,"text":"3:09","a11yText":"Süre 3 dakika 9 saniye","shortText":"3 dk."},"date":"27 mayıs 2011","modifyTime":1306454400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/__D5zqoC7wM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=__D5zqoC7wM","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":189},"parentClipId":"13861174396311818679","href":"/preview/13861174396311818679?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/13861174396311818679?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11447714209667179570":{"videoId":"11447714209667179570","title":"R3 two points P and Q, vector PQ","cleanTitle":"R3 two points P and Q, vector PQ","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=71MAWaSWQ8I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/71MAWaSWQ8I?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":135,"text":"2:15","a11yText":"Süre 2 dakika 15 saniye","shortText":"2 dk."},"date":"11 mayıs 2012","modifyTime":1336694400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/71MAWaSWQ8I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=71MAWaSWQ8I","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":135},"parentClipId":"11447714209667179570","href":"/preview/11447714209667179570?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/11447714209667179570?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9331002045931199217":{"videoId":"9331002045931199217","title":"Lesson 8 . More Than and Less Than Facts | Grade 1 \u0007[Math\u0007] | \u0007[Math\u0007] for Kids","cleanTitle":"Lesson 8 . More Than and Less Than Facts | Grade 1 Math | Math for Kids","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ZlMksOd1ATY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ZlMksOd1ATY?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":"d3d3LnlvdXR1YmUuY29tO1VDLV9DRk9SU1RVdm9FQlJhZGZjbHpnZw==","name":"TeCa - Math for Grade K - 12","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TeCa+-+Math+for+Grade+K+-+12","origUrl":"http://www.youtube.com/@teca-mathforkids","a11yText":"TeCa - Math for Grade K - 12. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":495,"text":"8:15","a11yText":"Süre 8 dakika 15 saniye","shortText":"8 dk."},"date":"29 nis 2023","modifyTime":1682726400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ZlMksOd1ATY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ZlMksOd1ATY","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":495},"parentClipId":"9331002045931199217","href":"/preview/9331002045931199217?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/9331002045931199217?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8795154523134011931":{"videoId":"8795154523134011931","title":"R2 vector sum AB+BC+CA=0","cleanTitle":"R2 vector sum AB+BC+CA=0","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=d_6R7PWDQIA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/d_6R7PWDQIA?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":"d3d3LnlvdXR1YmUuY29tO1VDRlFObVgwZTlaeV9HYzdweEx6cG5BQQ==","name":"mathkeep","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathkeep","origUrl":"http://www.youtube.com/@mathkeep","a11yText":"mathkeep. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":98,"text":"1:38","a11yText":"Süre 1 dakika 38 saniye","shortText":"1 dk."},"date":"31 mayıs 2012","modifyTime":1338422400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/d_6R7PWDQIA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=d_6R7PWDQIA","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":98},"parentClipId":"8795154523134011931","href":"/preview/8795154523134011931?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/8795154523134011931?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7426983829137154176":{"videoId":"7426983829137154176","title":"Finding the measure of One Exterior Angle of a Regular Polygon | Matatag Curriculum | Grade 7","cleanTitle":"Finding the measure of One Exterior Angle of a Regular Polygon | Matatag Curriculum | Grade 7","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=DKcS1rexZfs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DKcS1rexZfs?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":"d3d3LnlvdXR1YmUuY29tO1VDS1BheHNQM0M4cm45UGZ1MU1IM1pMUQ==","name":"TEACHER MJ - MATH TUTORIAL","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TEACHER+MJ+-+MATH+TUTORIAL","origUrl":"http://www.youtube.com/@teachermj-mathtutorial3833","a11yText":"TEACHER MJ - MATH TUTORIAL. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":357,"text":"5:57","a11yText":"Süre 5 dakika 57 saniye","shortText":"5 dk."},"views":{"text":"3bin","a11yText":"3 bin izleme"},"date":"6 ağu 2024","modifyTime":1722902400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/DKcS1rexZfs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DKcS1rexZfs","reqid":"1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":357},"parentClipId":"7426983829137154176","href":"/preview/7426983829137154176?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","rawHref":"/video/preview/7426983829137154176?parent-reqid=1769416598210274-10004992587445338278-balancer-l7leveler-kubr-yp-vla-31-BAL&text=mathkeep","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"0004992587445338278731","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":"mathkeep","queryUriEscaped":"mathkeep","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"}}}