{"pages":{"search":{"query":"mathmuni","originalQuery":"mathmuni","serpid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","parentReqid":"","serpItems":[{"id":"13465461849641598163-0-0","type":"videoSnippet","props":{"videoId":"13465461849641598163"},"curPage":0},{"id":"5497534751631718413-0-1","type":"videoSnippet","props":{"videoId":"5497534751631718413"},"curPage":0},{"id":"3656355734991174761-0-2","type":"videoSnippet","props":{"videoId":"3656355734991174761"},"curPage":0},{"id":"2446590320512643192-0-3","type":"videoSnippet","props":{"videoId":"2446590320512643192"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dG1hdGhtdW5pCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","ui":"desktop","yuid":"1017497271774581116"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"3904558967984539435-0-5","type":"videoSnippet","props":{"videoId":"3904558967984539435"},"curPage":0},{"id":"446817016285693447-0-6","type":"videoSnippet","props":{"videoId":"446817016285693447"},"curPage":0},{"id":"4084001985301436687-0-7","type":"videoSnippet","props":{"videoId":"4084001985301436687"},"curPage":0},{"id":"4115094910412640162-0-8","type":"videoSnippet","props":{"videoId":"4115094910412640162"},"curPage":0},{"id":"17878871486700440010-0-9","type":"videoSnippet","props":{"videoId":"17878871486700440010"},"curPage":0},{"id":"11307283354923771236-0-10","type":"videoSnippet","props":{"videoId":"11307283354923771236"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dG1hdGhtdW5pCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","ui":"desktop","yuid":"1017497271774581116"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"2884186628693616079-0-12","type":"videoSnippet","props":{"videoId":"2884186628693616079"},"curPage":0},{"id":"11871955534807341256-0-13","type":"videoSnippet","props":{"videoId":"11871955534807341256"},"curPage":0},{"id":"7319916807757433861-0-14","type":"videoSnippet","props":{"videoId":"7319916807757433861"},"curPage":0},{"id":"16539911896867912341-0-15","type":"videoSnippet","props":{"videoId":"16539911896867912341"},"curPage":0},{"id":"9750252184413258496-0-16","type":"videoSnippet","props":{"videoId":"9750252184413258496"},"curPage":0},{"id":"3494792973351002301-0-17","type":"videoSnippet","props":{"videoId":"3494792973351002301"},"curPage":0},{"id":"10108474074474086886-0-18","type":"videoSnippet","props":{"videoId":"10108474074474086886"},"curPage":0},{"id":"14182456918723455606-0-19","type":"videoSnippet","props":{"videoId":"14182456918723455606"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dG1hdGhtdW5pCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","ui":"desktop","yuid":"1017497271774581116"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3Dmathmuni","pages":[{"reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"1128174183098995907736","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_kebab_advanced_actions":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":0,"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":["1520073,0,27;1500300,0,26;1518678,0,11;1511838,0,67;1519681,0,43;1506465,0,17;1461705,0,15;1339938,0,89;1522412,0,94;1519857,0,8;1512230,0,42;1282205,0,58;1521375,0,31;1516471,0,6;1509928,0,81;1516152,0,37;1349038,0,56;658770,0,73;364898,0,73;1518187,0,34;1517596,0,49;1521359,0,81;1517897,0,9;1503416,0,9;1520101,0,31;461652,0,21;1519431,0,89;1512855,0,40;124079,0,83;90497,0,50;151171,0,62;126317,0,39;126331,0,93;1281084,0,96;287509,0,6;1447467,0,50;1482951,0,96;1476845,0,88"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3Dmathmuni","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=mathmuni","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":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=mathmuni","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"mathmuni: Yandex'te 1 bin video bulundu","description":"Результаты поиска по запросу \"mathmuni\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"mathmuni — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y353c5eaa85773e4be6b3c8170aa8a965","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1520073,1500300,1518678,1511838,1519681,1506465,1461705,1339938,1522412,1519857,1512230,1282205,1521375,1516471,1509928,1516152,1349038,658770,364898,1518187,1517596,1521359,1517897,1503416,1520101,461652,1519431,1512855,124079,90497,151171,126317,126331,1281084,287509,1447467,1482951,1476845","queryText":"mathmuni","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1017497271774581116","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1511916,1520677,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1774581139","tz":"America/Louisville","to_iso":"2026-03-26T23:12:19-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-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":"1520073,1500300,1518678,1511838,1519681,1506465,1461705,1339938,1522412,1519857,1512230,1282205,1521375,1516471,1509928,1516152,1349038,658770,364898,1518187,1517596,1521359,1517897,1503416,1520101,461652,1519431,1512855,124079,90497,151171,126317,126331,1281084,287509,1447467,1482951,1476845","queryText":"mathmuni","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1017497271774581116","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":"1128174183098995907736","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":161,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":true,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"isCommentsAuthPopup":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"1017497271774581116","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1794.0__f907c4b248b3b72e6b8309b4ada4ec3f02de9267","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"13465461849641598163":{"videoId":"13465461849641598163","docid":"34-7-13-ZC976FA2C68CD7639","description":"Our mission is to be the world's largest collection of quality math video problems for high school students and teachers around the world. Visit https://www.mathmuni.com/ for thousands of high...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/225476/ee3199fec04a728ec7f04cf753895e59/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ONGhcgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNC_-VwyG3Fc","linkTemplate":"/video/preview/13465461849641598163?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Mathmuni (www.mathmuni.com)","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NC_-VwyG3Fc\",\"src\":\"serp\",\"rvb\":\"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_E2KCBCQBgAQrKosBEAEaeIH9Avv5_AQA9f4KDAIG_QHt-vr--wD_AAMC-PMDBP4A8vX_AQIAAAD9AvwFAQAAAPQFAwj8AAAAEwP7BgQAAAADD__z_wAAAAgGCf_-AQAA-wAC_QP_AAARCQgB_wAAAPkF_vj-AAAAABH9_wEAAAAD8QAFAAEAACAALYjv3js4E0AJSE5QAiqEAhAAGvABZPz2AeEVAwAB6_MAAQfRAIEFC_8eH_gA5gIGAMv51gDdC-sA1PkwAOoOAQDYD_cAJuDd_0D8EgAY6f__HvgUAAb-AAAu8vwAIQf5AP8E7v__CBr-Gdon_gvuGQACEe4CIfsBAMTw6P_W_fAAC_8uAf4HDQEuBxEA8wgU_ugCCAHqAP0ABAb4APL58P_68gwFAhH2BAAFB_sJCtwBBgj7__P0BwAU6-sENQcYCQEDGADqHPIAGgMK-g0H7gYHGxv7__oA_gUJ_f_V__73HdkA_vzyCgIDAf0ADwr5AAHj-vb_DAj45jMGAfYPFQX6CPn1IAAtbidIOzgTQAlIYVACKs8HEAAawAe77tW-2xkmvILxQjtCpPC8cUQtPQnmw7yV0gO-lpinvL-0rDvToxk-qDZ4PWEJ97oceHW-anwQPXw40jz-1Ys-IMSfPIapMTuG4wm-3yD1PKwBKr3gu22-XoqWPRa5TLyxouY9UfqCvA4wszy-S1k-kRzdO6B8izoBnMW7ff7Bu6CSbr3cmwQ81JPevPztAb3BwbM96FFMPMP62jzmA0I-9j1PvUcBAbvy-Ey9QhNxOjjOt7u6EZa9GTwIPL59Bz3qr_c9MbJROshNAz3EeTi8sky_u4P44TuTUaU8wUeOPFvvN7zeDJ09M3nWO3_iHbt_wrQ8Wnc9vUcl7bvMUEu9WMu9PR0Gzjw7yGs-ANn1POgnZjvCspi9len8PGgwvDxiTiu99H3Au8M0AjwwY6o9oZGZPCZpozycjKo8J2l-vIemrDwbnq49X5wzPfVSjLu_Wlo8eRfJPcNQAbz3pbM9ZsinvPxlwbxOXuS91kJ_PAevxDs7xQo-VoMrvV_w5TscXNo9te7wvERsjzpVawE9O9m0u94jtjxcMjg9F1stvGYgq7ifsLQ96Y9LubhGfLsb1pQ9q-3mPA2YdrwL_JK9A4B-PXU5Jbzou_s9CxZdvaDmHDyZtM48Jh0FPQNPTru1xbE7FFglvC450bsf_SW9A7Truz1Xwju5za-8u9BBvaIAvLs1hp89Pwg8vVBsiTvvK4W8P3o7uzjNDjsX3os9IpnAO7cokrtUYaK8nP0Bvczhxbq4yP08tuRHPYbvs7rVN3U9KxaPve6wyznkROC8AFqMO3Z2kLhZljk9FfeEPLH3vLkV14I9iU1avTnrkzj-Lgc9fdksvV2SObmQ-sa8_-FTvGslkLkdrSo93OFlPDDGXjgCNCO8Tat3vSGzXjntQKK9s3tyu05397iEhhk9kSGsvGGPwLh0IRw8lKmNvfPAJzf5py88YiCZvL2Q7bj-G8W8EyqXu0rMhrhv80a8U8GyvBurkbiV4cs65wGHPTIxizeoT5c8I0ItPc_afjgNYGC9tdRrPY9hIbnz2va8CPnKvVqHe7YoWC09qw-KPVYUmrgqvsu9qLI-vedGlTc_Kam9G9bUvbh-Qbe3xDs9P96QvFHfhThNzS89ShCpvYrViDcZdjM9W9pfvIFCULgmU4W8SGkbPb0hgLd1Ajo9SfcOPQLlKDc-Vaq7K6skvYzg5jdhBnk98zoSvkvnqbigFw49FyW9PSh_ADnv8rO92gICPlDxYLkX8d28X6RbOhiG87e-Qzu9I8ahvN5nJTggADgTQAlIbVABKnMQABpg5wkAHu42u-8VBvba_-II5Nr8szeuHP_5Gv8s4vLV5gjdtQbn_wsGOeahAAAAI9r06UAA2n_cte804PADybYJN_xy5z8V0Pzr_cQoIOT86EIMs_c3ADjgngJPFrU3PhoeIAAtIqIXOzgTQAlIb1ACKq8GEAwaoAYAAEBBAABwwQAAMEIAAAAAAAAMQgAAAEAAAJ5CAACwwQAAmMEAAIC_AAAwQQAAwsIAAGDBAAA8wgAAYEIAABDBAACoQQAAEMEAACDCAADAwQAAsEEAAKDCAADYwQAAVEIAAKDBAABwwQAAKMIAANDCAACmQgAAAEEAAAAAAAB0QgAAosIAAGBBAAAcwgAAIMEAAGBCAADyQgAA-MEAAABCAAAAQAAADEIAAJBCAACKQgAAAMEAAHjCAABQwgAAQMAAAMBBAABAwQAArsIAAIjBAACYQQAAMEEAACRCAACIQQAAAMMAAMjBAABIwgAAiMEAAKBAAADowQAAfMIAAGDCAADgQAAAMMIAAGDCAADAwAAAgD8AAEjCAABUQgAAhEIAANDBAACYQQAAQMIAADDCAAAcwgAAiEEAAJRCAAAgQQAAjsIAAJZCAACIwQAAokIAAKBAAACAwAAAEEEAAKBBAAA4QgAAiMEAAKhBAACAPwAAUEIAADTCAAAQwQAAwMAAAKjBAACgwQAAoEEAAODBAAAUwgAAJEIAAARCAABgwgAAEMEAAEBAAAC4wQAAGEIAACDBAAAQQQAAIEIAANBBAABUQgAAOMIAAAhCAABsQgAAQEAAAKBBAACWwgAAQMEAAABAAACMwgAA-MEAAHDBAADIQQAAQMEAACBBAADgQAAAgMAAABzCAACIQQAAAAAAAHDBAADgQAAAYMEAAABAAABgQQAAgMAAAEDAAACWwgAAcEEAAATCAACYQQAAMEEAAABCAAAQwQAAgMIAAOBAAACSQgAAIEEAADDBAADAQQAAmEEAAJhBAADAwQAAkMEAAADCAAAUwgAAuMEAAExCAADQwQAA4EAAAPDBAACIwQAAiMEAAOBBAAAAQgAAaEIAAChCAAAgwQAAMEEAAAAAAADIwQAA0EEAADDBAADYwQAAXEIAAJhBAAA8QgAAUEEAAABAAABwwgAAIMIAACRCAACoQgAAuMEAACDCAAAQwQAAoEAAANjBAACewgAAQMIAAMBBAACAwQAAgD8AAIBBAACIwQAA0MEAANjBAAD4wSAAOBNACUh1UAEqjwIQABqAAgAAir4AADA9AAAUPgAA6L0AABC9AAD2PgAAyL0AAEe_AAD6vgAA4DwAAAw-AAA0vgAAFL4AAGQ-AADgvAAADL4AAM4-AABAvAAA4DwAACs_AAB_PwAA4LwAABA9AABUvgAAjr4AANi9AADgvAAAML0AALa-AACePgAAqj4AAI6-AAAMvgAAiD0AAFA9AAAwvQAAqD0AALi9AACSvgAAgr4AAFC9AABEvgAAoDwAAJg9AACAuwAAoDwAAJY-AACevgAAgDsAAL6-AABEvgAAbL4AAEQ-AACOPgAATL4AAKg9AAA9PwAAPD4AAIC7AAC2PgAAZL4AAM4-AAA0PgAAJL4gADgTQAlIfFABKo8CEAEagAIAACS-AADKPgAAuL0AACO_AAAEvgAAmL0AAK4-AABMvgAABD4AAKY-AABQPQAArr4AAAy-AABMvgAAML0AADC9AABAPAAAKT8AABC9AACuPgAAUD0AABy-AADgvAAAmL0AAPi9AAD4PQAABL4AAOg9AABQPQAAQDwAAHA9AADoPQAATL4AAOg9AAAQPQAAiL0AALI-AACgPAAATL4AAKi9AACSPgAAFD4AAJi9AACAOwAARL4AAOI-AAB_vwAA6L0AABS-AACAuwAAUD0AAEC8AAD4PQAABD4AAPg9AADYPQAAgDsAADC9AADgvAAAQDwAAFC9AAAsvgAAHL4AAPg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=NC_-VwyG3Fc","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13465461849641598163"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3656983293"},"5497534751631718413":{"videoId":"5497534751631718413","docid":"34-5-3-Z9169C076CD24900A","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3301585/6c7c11ba3abdb79fc00ce93efb717fb4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/1sDHCwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D5P0Dc2iOU9E","linkTemplate":"/video/preview/5497534751631718413?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Show that lines 2x-3y+5=0, 3x+4y-7=0 and 9x-5y+8=0 meet at a point.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=5P0Dc2iOU9E\",\"src\":\"serp\",\"rvb\":\"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_fwFAOwFB_0DAAAAEwn8_PUCAgDs-PzzAv8BAPn7_wUFAAAABQz_BQMAAAAD-_37_f4BAAYD_QEEAAAA_vT8C_4AAAAAB_0A_wEAAPkJ9gID_wAAAAMCAf8AAAD6BgEGBAEAAP4N__ABAAAA_PgG9gAAAAAgAC1xht47OBNACUhOUAIqhAIQABrwAX8U-_-73ef_-B7eAL8Z3P-JFw7_5ibP_8beEwHW770B6u8DAPgCCQCyEw4AwSDUACfq1f8ixggBQMPj_w7R3wD69QkAA-AD_0AUMf_v8en-AiUv_vLK7P_9wtwA6B3i_ggCD_4DBvb-2Q3RARD-QwH7HCn_Fw4nBPDBCP_E-PgIDczT_gYJ9QAD0v_5CvIuBCHG_f4ZBfgI10nvAAfpEfX-3Bn8CDLS_S4HHAANCAL41v0SBN0I_QAKHRIFyBsaAh4GJQDB_wL03coE-Czl9gDKAAv5HM73Ey77-ALvFvYJ-PH17-sBAfbp-xT53Qn06yAALVJtCTs4E0AJSGFQAirPBxAAGsAHZmvFvn5zf7wjTfq7-g3TvZB4wzxscAe9Df7-vVIOpjyIXYA8vD-OPd2TKDuJ4Cm9OGmKvtEMPTztrn08iZkNPsw_X73rnZ-5dXT8vS8Tmj0LAhC9FRxOvqxNyDw1lx872biJvddFtrxfIK28Cp0XPpObFbwRiq28_DaEvIl5GLvoHcA7mK1rvRflQ728SQK95suLPXyWDL1uPM48orUSPrwatb2zegc9a3MQvLZX1Tx9sA48EawFPFZbGDy8Kuu8HejBPYb8frnqSY886_uFvT5oTL2HOxE88g1AvbftO71aQmM8TsClvMghh7wlVcC8eGeKO9OIGb0F-dm8-aAHvvQamz0vgYA73bQZPj0W0TwDYPq7xmGqvatbnT3u1Jo7PptyO7AeN737kYW6fROZPQ9wFLtKP6M7s_tfPZDwYryRcO868jO_PKpr4zx0Yg899PNQPdPAD727kq68ql2oPUtwDzxuNWu8qjiPvSEjWz2zO6g7E-v5POoLfLwErZ-7wtbRPAVIiT2ZHdg8L058PB8kNb0FyMw7CkKDvWy_u70Mg-g76L7MPQAwYz2u5gw75Gm5PV10jbxHASA8XEwavG17sbz9ESu8baSRPF7Ieb0frDU7j6wXvUdxbj2qUBW8KEIvPdafqzqATc67eIkgPTwc-DybyIo7uNIGPQhW1b0-uhK6mxuoPcfJsztOqBY7rc77PA-X3LwcPJc6SQ59PUXA_LwrMte77c9qvdX_nrzq-Xu6xxwava_-qT38qge67q8OPp8Skb1-0JQ5HHoLPeLGEjxNLyi6chGEvGIQ2D2E1A639d1IPdtWaDl4mAS5y6LwvFtCHr43BeM5LehivEC8UzyXQDQ6r9MDvQgUWrttWR05EirdvGd7pL16nlW5zPvuvFY9CTu7u5a56nYGPlLeXT03OPg1SMV_vDOMi71U34c52vdyvZoMAr1JrqI5a5fbvCCbpDxK7nG3EaBQPbpJnL2osHk5Hs6yPLYlVz2rSUy3BReLPYG6PD25Vi636D81PWQfBD5nsRs43ln7PNjxn70YDZc42Jg8PbQlxjzOH4C4aHUyvmSkKD0Xyky3Z9kOPc1yXr3Ahqc3sARNPSx6DL1W4vg3LHqvO7WSjL1w8V84kl0ZPtlPUL2swj-5B7ZKvP9YDDyjUaI2cjQJO3COtL040o222myhvY3msj0hdAk4HZcMPUkPQ75UMU25yvRwPSLhKz7xy4o4lV8rPM-8jD3F_Aa5BqF8vWAcgTxhfLU3fCcmvU4zkzxdNco4IAA4E0AJSG1QASpzEAAaYC_sAC7cNd47BR_d-9EYOd3Vxs0h1v__-_H_-_ToGeIhxaoVFv8O8SDKoQAAACkT5RLlAPF979sFPvUX_dyB6hgrWR3_Ap7s8vzZyyvR98w5Cgo3XQAL0bQcSgjdCkIOFCAALQv2Gjs4E0AJSG9QAiqvBhAMGqAGAABoQgAAIEEAAKRCAAA4wgAAwMEAAPhBAAA0QgAAAAAAABzCAAAgwQAADEIAAPDBAAAYwgAA-MEAAKBAAACAwAAAjkIAAJ7CAACAQgAAqMEAAATCAABAwgAA3MIAAOhBAABEwgAARMIAAJjBAADYwQAAIEEAAMBBAADQwQAAUEEAAEzCAACQQQAA1sIAAIDBAADAQQAAVEIAAEBAAAAEQgAA-EEAABDBAABwwQAAyMEAAABBAADgwQAAkEEAADBCAAAkQgAAMEEAALjBAADQwQAAiMEAAAxCAAA8QgAAdEIAAJ7CAAAwwQAAcEEAAMBBAADAQAAA6MEAAIDBAAA0wgAAEEEAAKzCAAD4wQAA2MEAAFzCAAAkwgAAeEIAAGBCAAB0wgAAsEEAAMDBAAAoQgAAkMIAABDBAAC4QQAAJEIAANDBAACwQgAAmEEAAMBAAACgQQAAIEIAAADBAABMwgAAkkIAAIhBAACAQAAAbEIAABzCAACgwAAAiEEAABzCAAA4wgAA-MEAAODAAABEQgAALMIAAIDAAACoQQAAMMEAAFDCAACCQgAAHMIAAGBBAAAQwgAAcEEAALBBAADAwAAAgEAAALDBAAAcwgAAhkIAAHDBAAAIwgAAcMEAABjCAACEwgAA2MEAAKBAAADYwQAAoMAAAGBBAAAEQgAAkMEAADBBAAAEQgAAwMEAAOjCAACYQQAAGEIAADBBAACQQgAAoEAAAIJCAADAQAAA6MEAAIBAAACgwAAAwEEAAMbCAAAgQQAAhEIAAIBAAADQQQAAmMEAAMDAAADwwQAAqEEAAABCAAAQQgAAQEEAAIC_AABYwgAADMIAAPDBAABcwgAA0MEAABBCAAAAQQAA2EEAADhCAACowQAAYMIAAKJCAABgQgAAEMEAAPDBAAAAAAAAAMAAABTCAAA8wgAAQEAAAMBAAACgwAAAREIAAFBBAADswgAAJMIAAAAAAACYwQAAMEIAALjBAACewgAAEMIAAKDBAADgwAAAiEIAAKDBAAD4QQAAMEEAAOBAAAAsQgAAgD8AAOBAAABAQgAAIEIgADgTQAlIdVABKo8CEAAagAIAACy-AACYvQAArj4AAKA8AACIvQAALD4AAFA9AADuvgAAcL0AAMi9AADIvQAAQDwAACw-AAB8PgAATL4AABA9AACCPgAAUD0AAIY-AADuPgAAfz8AABC9AACIvQAAUD0AAEC8AACYPQAAUD0AADC9AACCvgAATD4AAKA8AAAsvgAAoDwAAOi9AADYPQAAJD4AACQ-AAAEvgAAXL4AAHC9AAC4vQAAcL0AAAw-AAA8PgAAJL4AADA9AABcPgAALD4AADC9AAAwvQAAmD0AAHC9AAA8PgAAFD4AABS-AACYPQAAET8AAAQ-AAAwPQAA6D0AAIi9AABAPAAAMD0AAMg9IAA4E0AJSHxQASqPAhABGoACAADIvQAAoDwAAAS-AAAPvwAA2L0AADC9AACaPgAAQLwAACS-AAAkPgAADD4AAPi9AAAQvQAAqL0AAKg9AAAwvQAAUL0AAP4-AAAEvgAAwj4AAHw-AABQvQAAFL4AAGy-AACIPQAAqL0AAFC9AACAOwAAUD0AAKg9AABwPQAAED0AACy-AAC4vQAAHD4AAHC9AAAQPQAAqD0AAFS-AACAuwAAbD4AAHC9AAAcPgAAgDsAAHC9AAD4PQAAf78AAEA8AABQvQAA-L0AAKC8AADoPQAAoLwAAIg9AADgPAAAuD0AADC9AACgPAAAUD0AAMg9AADovQAABL4AAKg9AABwPSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=5P0Dc2iOU9E","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5497534751631718413"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2301928865"},"3656355734991174761":{"videoId":"3656355734991174761","docid":"34-7-11-ZD07B71907A7A5D0D","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Over 1 million lessons delivered! Full benefits include smart...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3825172/610647b922d465977a2455031a2dfdd6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-6-3BQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dx1I8mliKcBQ","linkTemplate":"/video/preview/3656355734991174761?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find equation of line through intersection of 2x-3y+4=0, 3x+4y=5, and perpendicular to 6x-7y+8=0.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=x1I8mliKcBQ\",\"src\":\"serp\",\"rvb\":\"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_wD0AQMGCAX9AS0IAwX0BgcA8vr9_AcB_wDo_BAFBQAAAAgKCgT7AAAAAwH5BfL-AQAQAff8BAAAAAn3BPn-AAAAAAIB_P4BAADwBfr9AwAAAAD_AAoAAAAA-foDC_3_AAD4BwP79f0AAAD__v8AAAAAIAAthUHROzgTQAlITlACKoQCEAAa8AF_DfkBz_vR_-YL7ADWJeQBlhQM__0x1AC-6vMA1g29AeINAgDv8_gA-B0WALkS7v8j7Nr_9rT3ADnK5v8L2wsA-_YIAAXG6AJLFRABBfbxAOEgK_300O7__cngAA0Y8_4K8xL6CPvbAe4DxQIO_jwBDQgqA__4D_3vzhoD2s8K_wzS2P79BwIE_dcXAPf1JP4bzR8AARUC-ugf6QL_4BYEAdAM_ggs1_4OCBQFCyYECNr3_gb8AegEHCQJ-trhBATz9yQC0h4N9uro_P0mzgD95AD3BQfbCBIc-gH-9_0FCQb46fLyC_z89wP_BuEI9e0gAC31iho7OBNACUhhUAIqzwcQABrAB7qj974xg6c8InxePJwBibzj1Ji8OO1uvbvbq7ylMiA9k9vbPBiYBT6AM-s7f7O9uxxCFb5Q8IM8m0gfvf29dD6SVEu9A7HsPHV0_L0vE5o9CwIQvYkLEL42aq66zo_5OwC-xb03ZE29a-dFvHIeaT07anG9vLQ8vW-LCL1DRwe6I9gYvSuIwbzDFxy9SVvmvGU7G7xX9F29n9pjOsjUGD1sy0W9iFyZu8TBdD38HLy6DrGLuxM8Dbvz1u8880yauoRZEj2451k9YiAZPEq4i72tMtO8R1ACvNFeiL36ghG99qXpO5y0uj1K7UU8sHqbvGVDnT13NbS9kHYyva35Ab5UpZI8IdHfO_CLCz7zP7O74jrGOxjSAb5Jg6s9liYlvBV1BbyfxIy8MZQ4vEsXBz3_iRs9NM9bPPukRD3Rf6o8TVutvODsAL3gWIY8nTnaPIbiTj2Q_nK9RqBVvP6vjz3MKuy8YKiJu8HWNrxLHK49tD16vN30Qjv9BRE9Y0WqO0VO_LuSdRg9nSbYPMU1Qz34UQ2-CW8su_pYpr3LUJC9Haeuux1twT05aRA9LgV_vE7wzT1mM-e9_1cAPDX78jwWxYY8Rik-O9EyGjznjEi92TwzPCMrhL0H9J09csADuti_xrzE3lU8f_ExvJ34qLvpkXA9VedFuynEqzsn66G9bAZ6OwMnuz1NrIK83tsAuztiQz0dhsA9QeJsudoQLT3ozh87RrIJvATKJr29d227TeaKOhvDFryYchm9vOtHO20D1z21o9i9DJ-vObTrdzsI-lW8gmU7OiZstL1kQNY9XCYQOJBt9Dyy6Ee9bevAuURvzLzsZ5a9m8zqOPDETD1YmT67bF9dOuFrHzy-J-A8hcAhuuWMkr2TuQO9432eucz77rxWPQk7u7uWuep2Bj5S3l09Nzj4Nb9oqrwB0V07cWCLuZ2vA72OCIS7vxYlOWuX27wgm6Q8Su5xtyI8pT3lwoe9O4xSOe2DLDzeZKo9Xum9uD4mDT0j4Js9sOscuAib8Dy5_dI9R2llOBUUkDxz5YK9j-l8ODWAgj1XsI085fOrtiL7AL7GXyQ9F5hlOG7UVDy0RJ28M-cAOIaqeD21IgC92i8DOGANhjzlGSg7lyEdOJJdGT7ZT1C9rMI_ubhdk73Pq5C92nVEuKaGkTwjY1q99H6KN9psob2N5rI9IXQJOOwDvTt81A--F_rcuMr0cD0i4Ss-8cuKOLoTrLxy3Lk9dDAYuVIJpL0f-FM9CUMwOIbZVb1-CQs9k2BwOCAAOBNACUhtUAEqcxAAGmBG-wA66y3KLPb-4_vMCyrO1t_MLtr3_wrP_xEO1hUMC82m_gT__9gj554AAAAi_toK-ADlf9rjAkAZ9PjRlb8LOGESMPy-5S0O58w5ECTdDg4MIj4A4AafPV3zjTUzKAAgAC0etBU7OBNACUhvUAIqrwYQDBqgBgAAjkIAAIA_AADCQgAAbMIAAMDBAADAQQAAGEIAAKBAAABAwgAAgL8AAEBCAAAAwQAAsMEAAABAAAAQQQAAoEAAADxCAACWwgAAOEIAAEBAAAAQwgAAYMEAALrCAADoQQAAjsIAAGDCAAAAAAAAoMEAAABAAADoQQAA8MEAAAhCAABswgAA4MAAANjCAACQQQAAIEEAAHBCAADAQAAADEIAAPhBAACgwAAAsMEAAODBAAC4QQAAEMIAAEBBAABEQgAAMEIAAABCAADQwQAAkMEAAKDAAAAoQgAAHEIAADhCAACCwgAAgD8AAKBBAAAwQQAA4EAAAOjBAAAYwgAAmMEAADBBAACswgAAJMIAAJjBAAAgwgAAWMIAAHBCAABYQgAARMIAADxCAAAkwgAA6EEAAGzCAAAwwQAA-EEAAChCAAC4wQAArEIAAIhBAABQQQAAQMAAAERCAABQQQAAdMIAAIhCAABAQAAAUMEAAOhBAAAkwgAAuEEAAEBCAADQwQAAAMIAALDBAAC4wQAAeEIAADTCAADgwQAAAEIAAEDAAABAwgAAUEIAALjBAADAwAAAgMEAABBCAACgQQAAAMAAAJjBAAAAwAAA6MEAAI5CAAAAwAAAIMIAAODBAAAkwgAAJMIAAADCAAAwQQAA0MEAANjBAADgQAAANEIAAPjBAACAvwAAEEIAAIjBAAC8wgAAkEEAADRCAACAwAAAoEIAAAAAAACOQgAAmMEAAADCAABQwQAAoMAAALhBAAC-wgAAgL8AAJhCAABwQQAA-EEAAEDBAACAwQAA8MEAANBBAABgQQAAkkIAAOBAAAAAAAAAdMIAAGDBAACQwQAAWMIAACzCAADYQQAAOEIAAOBBAAA8QgAAyMEAAEzCAACEQgAAOEIAAAAAAADYwQAAMEEAAIA_AABswgAAIMIAAGBBAABAQQAAEMIAABxCAACgQQAA9sIAABjCAACAwQAAuMEAADhCAACgwQAAksIAAAzCAAAAAAAAAEAAAGBCAACgQAAAwEAAAIBAAAAAAAAAdEIAAEBAAACAwQAAiEIAAAxCIAA4E0AJSHVQASqPAhAAGoACAABAvAAAiL0AAKg9AAC4PQAAPD4AAAw-AAAwvQAATb8AAKK-AAAQvQAABL4AAHC9AACAuwAAPD4AAO6-AACgvAAAHD4AAOA8AAAQPQAA9j4AAH8_AACgvAAA6D0AAKi9AABQvQAAmD0AAPg9AABUvgAA4LwAAIg9AAB8PgAAHL4AAPi9AAC4vQAAQDwAAFA9AACYPQAARL4AAK6-AACavgAAHL4AALg9AAAkPgAAmL0AAPi9AADgvAAAsj4AAJq-AACAOwAAgr4AAKC8AAD4vQAA2D0AADw-AAAEvgAABL4AABM_AAAwPQAAHL4AAIg9AAAkvgAAJD4AAFA9AAB8viAAOBNACUh8UAEqjwIQARqAAgAA2L0AAEQ-AACAOwAAM78AAIK-AACovQAAPD4AADC9AACYvQAAlj4AAJg9AACKvgAAqL0AAIa-AACIPQAAoLwAAKC8AAALPwAA-D0AAK4-AACYPQAA6L0AAAS-AADYvQAAMD0AAJg9AAD4vQAAcD0AACS-AAAQvQAA4LwAAJg9AACgPAAAQLwAAFA9AAAUvgAATD4AAPg9AACSvgAA4LwAADC9AAD4PQAAQDwAAFC9AACAOwAAED0AAH-_AAAwPQAAcL0AALi9AACIPQAA2L0AABA9AAC4PQAAmL0AAFA9AADgvAAAED0AAKC8AACIPQAAUD0AAOi9AACAOwAARD4gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=x1I8mliKcBQ","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3656355734991174761"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"376913606"},"2446590320512643192":{"videoId":"2446590320512643192","docid":"34-1-14-Z89E500B6DA577CD2","description":"Find the relationship between the three unknowns if the function is continuous and differentiable at x=1. Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3341607/507444f2776a6fd52c180bfc0c634b2f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/UL8EEQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DxzoYzXRApIM","linkTemplate":"/video/preview/2446590320512643192?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Continuity and Differentiability Example","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=xzoYzXRApIM\",\"src\":\"serp\",\"rvb\":\"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_4I_f4A8Pj9Bf8BAAD6BQcE-QEAAAIADv_7AAAAAvoK__7-AQD-DwD6-QAAAAnz9wv7AAAAFgn2CP4BAAD8-AL_Av8AABD7-AUAAAAAAA0B-v3_AAD3BwEAAAAAAAz2AAUAAAAAIAAt1vLeOzgTQAlITlACKoQCEAAa8AF_FPv_6OTiAuMM6gDhDPMBnzEn__w4zwC8-yMAsvbCAd4PAgDt8fcA6gMKALQbCQA30s3-BMMX_yfT7_4b3AAB5_INASnQ8gFCAfwADO78_u8NGP8K1_v__cLcANsw0vwO-AP67-rR_uon0gPu70sDDgkvBBnzJALwwQj_xPj4CP7avP4ONvMC-uEL_t70Mwge7Rj_ARcC-co23gQH6RH1_twZ_A8UzQAW5BMQIv8NBb0NBAnmB-f-G-4VAOPiDwny9ikC7BoO9PDWAAM19fQGy_rvDyjl9ggX-wcQDQD0-wfiCvPc-Pz41wYD89gN8f8gAC1SbQk7OBNACUhhUAIqzwcQABrABzkr-r4ZAwy8Nu-0upwBibzj1Ji8OO1uvbvbq7ylMiA9k9vbPG8uHj4t4K-8YRWUvBToM77779w8WdOGvMuAMz7m0Yi9mGIzPHV0_L0vE5o9CwIQvfGE3r2AH588t0EOPAj3hL09uze9xugQO6tNoj1U3B29CXYSvbKCX730CKS8eXyWvCgTMj2wXyu9sac9vRvJVLyf8TO8uXAePO2viD2D7hy9Ltpru27rPT2AwJy7RKqDvHL-Ab30Eog89gJYvGEnK7y2NHI9WhtzungANb1Xp_M6xYLvu98JDL3PKVA5to4evJVShj0jMcE8u2VivNjCBz1Ex5m98juyvG2s5L2mES49lE7BO_W8Kz7NLHg8-nq-PMZhqr2rW5097tSaOxV1BbyfxIy8MZQ4vLTJYTwVp489_xYuPGJGPT3xa727H08GveDsAL3gWIY8nTnaPPTzUD3TwA-9u5KuvKYTRD3VTl69-Y2nu4M5pb34k6c9BKmUvJhbED25edk86fEAOkVO_LuSdRg9nSbYPMU1Qz34UQ2-CW8su-C82L13YYC9Pn0CvB1twT05aRA9LgV_vG786T1M5K29K3Opu6ERjbu5sCS84ML0uheZI7xnLHW9i7hKPI-sF71HcW49qlAVvPxlQbyF7Nm7h0I6vJxkUDyPfYo9LssXvDT-E7044kS9S74GO54J7T1dG8U8u3ttuvubaz32C1Y9Disnumu7hD37s3q8N7lnu2EtI738eCA8_mveuIyhRzqWuTS9HArJuO6vDj6fEpG9ftCUOQwSET0qUgK7HkeVOCZstL1kQNY9XCYQOIX5IT3J0Ay9ajb8tVxUC72cFfG93J51OfTvozuP_ay8oAplOcqSb7z47Zg6lYHIN-WMkr2TuQO9432eueucFb1AbOk7Pg_ttx01yz1QllA9W6xhONI_dzwbQKQ824H7OFQIP707bZE7QfqDOMfKOb15E8082aEVuKsmiD3Pt5q9-5-HOWJDnDzDHYk9WLChOXxD4TwgLxo9rIekuE8rWz07J6w9PEyEuFJIz7s-PKu9T7LkOE_RrD3DjQo9qdyJuMrhA74Q1x48l_1ONxQPXrwznhK9HJY3t7fEOz0_3pC8Ud-FOPeopDyrIOu88XHeNpJdGT7ZT1C9rMI_uQpcCL3iw5G9PKVYuAfiBj3hlk-9maTONaZ_6b2MZLQ9PCjpOOwDvTt81A--F_rcuMr0cD0i4Ss-8cuKOJe7A7zS08E9UWrJuH2Jgr203jQ9RWE9ON4BHr0ZsY071QM-OCAAOBNACUhtUAEqcxAAGmAe_gBGCRXq_AAr4gTMFfkUvyb8LdYJ__HV_w7lz-QN8cXTFgIAKdUc7K4AAAA3EPsY_AAfcd_g6BL39fLJmcALB38HIjzB2Cvvn9ImGhPWCgweF1QA2OyzQCLl2xv9GgwgAC3emSQ7OBNACUhvUAIqrwYQDBqgBgAAhEIAAKjBAADUQgAAIMIAAIBAAADQQQAAGEIAAOBAAADgwAAA0MEAABDBAADAQAAAUMEAANDBAADAwAAAoEAAAFRCAACmwgAA4EEAALDBAACgwQAAyMEAAL7CAACQQQAAgMIAACzCAAAgwQAAEMIAAMBAAABEQgAAJMIAAHBBAABswgAAIMEAAOLCAAAAwQAAqEEAAAxCAAAAQAAA4EEAAKBAAABEwgAAFMIAAIA_AADAQQAAuMEAAHDBAACAQQAAwMAAAHBBAABkwgAA-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-AACCPgAAO78AAEy-AABAPAAAir4AAAy-AAAsPgAA2D0AAJq-AADgPAAAbD4AALg9AAA0PgAAMz8AAH8_AABMvgAATD4AADA9AAC4vQAAcD0AAOC8AACAOwAALL4AAFQ-AACOPgAAnr4AAAy-AABUPgAA2D0AALI-AAAUPgAAlr4AAMK-AAA8vgAANL4AAHC9AAAEPgAAgDsAAKi9AABQPQAAFD4AAM6-AACWvgAAqr4AADC9AABUvgAAgj4AAEw-AABMvgAAoLwAAFs_AACGPgAAdL4AAAQ-AABUvgAAcD0AAEC8AAB8viAAOBNACUh8UAEqjwIQARqAAgAANL4AABw-AACOvgAAPb8AABy-AAC4PQAAfD4AAIC7AAC4vQAABD4AAEC8AAA8vgAAmL0AABS-AADYPQAAcL0AADA9AAAVPwAAFL4AAN4-AACgvAAAiL0AAKA8AAA8vgAAML0AAHA9AAAEvgAA4LwAAFA9AACAOwAAgLsAAKA8AACYvQAAhr4AAIC7AACIvQAAoDwAABA9AACovQAA4LwAAHA9AADIvQAAQDwAAHA9AAAUvgAAnj4AAH-_AAB8vgAAlr4AABw-AAA8PgAAoDwAABQ-AADYPQAAmL0AAOA8AACgvAAA4DwAABw-AAC4vQAA6D0AANg9AABwPQAAqL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=xzoYzXRApIM","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2446590320512643192"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3664884005"},"3904558967984539435":{"videoId":"3904558967984539435","docid":"34-2-7-Z0A61A32CD1DDEFC0","description":"Assume the ellipse to be square(x/a) + square(y/b) = 1. Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2399128/0aad35eadce9b3fff4af12b91fdf22a9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/fagiLgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DtsGgbUDhtuE","linkTemplate":"/video/preview/3904558967984539435?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find the area of the greatest rectangle that can be inscribed in an ellipse.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=tsGgbUDhtuE\",\"src\":\"serp\",\"rvb\":\"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-_AD-AwD0BAUB-QP_AfD_Afv6__8A8QH3AgcB_wD6BQcE-QEAAP0C-wUBAAAA5wHxAPkCAAASC_X3AwAAABQMAAH-AAAAE_39_P4BAAD7AAL9A_8AAAL2BQYAAAAA9gEC-_gA_wH9BP79AQAAAPv4CQEAAAAAIAAtAFPbOzgTQAlITlACKoQCEAAa8AF_Hh4A1Q_ZAMUC5gES7ecA_wUk__w6zQDbEOQA6OTWAQUTCADlGAIAIv_T_8AB7P8F99j_4fHaATnEJf8G5wYA-r7jAer40QEyADQB_gbl_-k8Ef3QyNcC8tarAAVa2v0g2wX9DCvSAQY00gMkFysB1d4yChrzJgLb4QAAyQThAP3Zuf7hCu0B5dQW-wXvDwAm1gwCH_YoA_4G8f_rAAj4AAIkAjE80P_LGekA-B8EBv0ECA8hARoMAwofAwT86vrJDSIB1sYL9gXCCfka1REKyj3sByXU5gLkqBoA-9jyFx7_8Pbu1-8GJf_zCPTj7-UgAC1qTQQ7OBNACUhhUAIqzwcQABrAB3HMur7mrws6R-EhvFNgHL0kQuO8b5EFvUvTtr2Wyys9rO4HvT9zRj4O7jO9lvl9O-Vk4r2Cnoe98j_evIGyCT7tRyq9acMhPXV0_L0vE5o9CwIQvUePD75tpJE8aDjKPCQFi70DFo-95Ps9vHIeaT07anG9vLQ8vfBKtzxyUjg9jzlPvDKlGj1VtIO7TJkKvRvJVLyf8TO8uXAePMjUGD1sy0W9iFyZuy5zCj57_xo9qKQTvWluBb4j1BE9B8hhvC9Ndj3GlYk9wutEPEgcjb0ndZe6ynIvu-v2s73WviU8VdfGuxpqBD7iMZE4g92wvGKTqTtxKsi9yGqpvIZ3hL1HVC0935m7u9wEqT2Dv989HDGpvK70Kr5txd49itQLu2ZlHjwJAp67VhaBu80e6D1FApe8aMnIPDjX8D1QyI68aFpFuwG9lbxUiGw9MQtWOXBzTztndoI9SJK7vCpxfT2nvj281X5GvF_dZ7zsZBU9cvdePPC3g7uD5Lg9CJk_PIAzpzzoWNQ8ksE8OwUjpT3WAju-SeWaOnvJlb0YHO-822R5vGAVeT2OPNA8Qa8qOxWQVj2_Xpa93UPCu_nQD73X3qe6flreO8HNPbwze6q8vpEQPIkVxL2mf-k96xAsut566rvMfwM9S22Qu2JAQL0x7KA9WBbxOnHJsbyX_BU80b1aOz1rTT1guAm9VcK1uYp8sjxyZpA9jDk0OsgjrT3eEd88CFVNuy7Og71hCC-9qKjKuQcuBzyhwgy9xMmBu8dnEj6uoOm9kAm0uakfKr19_fc7Bnowu4s8tL19NVE9OB8YODlYKT0I6Sm82_VpOS-Tp73GXrm8ayeCOZgf7jzbuGq8ERzFuE5hJbys1bg9joYWuGb0qL3DUAI9XSGIuRtaLr0YHiC9xj5Ut9WW2j3ELys8QvA0OIEmjT3h33E9dtUUuRLPuzm6-4c9ebwFuN7_Jz2aE5o9GdsUubyGKr2pE5C9AMqoOP1Ylz3ct_o9HVbENa_hU73aAdc9y00_N98iRj3tXI29uw58N-o2jTwMEQa9mX5yN73YgzvKppw8BXkTN2h1Mr5kpCg9F8pMt48ofr24f3u9r8Xnt4oi5D3eVc-8m3ZUN0GDSbuhDjA9vduEOM6Cqj3ECte9LPYmuTnFxL1ntya-1kdyOPNK47x7hUU9faT4N1m0LTu7U3A704EhuA0SRzx0fPS9VlhZuLnBdTwt7Ak-hifnOGCamDxbmvs9hK39uOEti72bf8s65gAKOHwnJr1OM5M8XTXKOCAAOBNACUhtUAEqcxAAGmAe9QAgMD3Y-hI1697CvhDw5fPx5tgK_wbD_7D8OhImI7axDPz_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_AABsQgAAQMEAAEzCAABQwQAAoEEAAODAAACAwAAAWEIAAMDBAAAowgAAsMEAAOBBAAAMQgAANEIAAKhBAACgQAAAuMEAACDBAAAkwgAADEIAADRCAACYwgAAsEEAACRCAAC4QQAAgEEAADRCAACowQAAQEAAACBBAACIQQAAAEEAAMBAAAAAQAAAFMIAAABAAABUwgAA6MEAAAjCAACoQgAAAMEAAIDBAAAgwQAAAAAAABjCAACSQgAArEIAAGDBAAAYQgAAEEEAAIBBAABowgAAsMEAADDCAAAEQgAAKMIAAIDBAACAQgAANMIAAGDCAACAPwAAgD8AABhCAAAowgAAbMIAAPjBAABkQgAAGEIAAEBCAACAwAAAqEEAABTCAABQwQAASEIAAIBBAACIwQAAQEAAAADBIAA4E0AJSHVQASqPAhAAGoACAAAwvQAAiD0AAAE_AADgvAAAqL0AAJ4-AABUPgAAOb8AAJ6-AAAQvQAAcD0AAI6-AADoPQAAHD4AAOC8AABAPAAALD4AAKA8AABsPgAAuj4AAH8_AACgPAAApj4AABA9AABwvQAANL4AAFA9AABwvQAAcD0AACw-AAAsPgAAML0AAHA9AAC4PQAANL4AABC9AADoPQAAXL4AAMq-AAA0vgAAwr4AAKA8AAAEPgAAFL4AAPi9AABwvQAAfD4AAJa-AAAkPgAAqr4AAAw-AABwPQAABD4AAHQ-AAAsvgAA4LwAAEM_AAAQPQAAyD0AABQ-AABQvQAAMD0AAFQ-AABMviAAOBNACUh8UAEqjwIQARqAAgAA7r4AALY-AAC4PQAAIb8AAMi9AADovQAAEL0AALg9AABAPAAAkj4AABA9AADgvAAAFL4AADS-AABQPQAAgDsAAHA9AAA7PwAAFD4AAK4-AADgvAAA2D0AADC9AAAMvgAAbL4AADQ-AABAPAAAHD4AAHy-AACIPQAAqD0AABQ-AACovQAAdD4AAII-AADIvQAAij4AAFQ-AACivgAAUL0AAKi9AABAPAAAir4AAOg9AAAwvQAAcD0AAH-_AAAMvgAAlr4AAEA8AADYPQAAND4AAJ4-AACiPgAAJD4AAHA9AADgPAAAoLwAAMg9AAAUvgAAUD0AAOg9AAAwPQAAUL0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=tsGgbUDhtuE","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3904558967984539435"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"164846849"},"446817016285693447":{"videoId":"446817016285693447","docid":"34-1-13-Z3EB4D0E89F37B08B","description":"Find the maximum and minimum of the given function expressed as a definite integral. Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1021545/02eb698828f11848d8e873292fe845db/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/irS6BwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqRktW_lWlb4","linkTemplate":"/video/preview/446817016285693447?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Maximum and minimum of a definite integral example","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qRktW_lWlb4\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TcYIEJAGABCsqiwEQARp4gfwJAP37BQD7_g0E-wb9AvEJ-PL6_v0A5wME_gj9AQD28Qn8_gAAAP4GBAoEAAAA__r-8f_-AQD3__74AwAAABH-APn_AAAA_gb-Cv8BAAD1CwT_9wEAAQUH9f0AAAAA7gMPAv8AAAD3____AAAAAAj-BAYAAAAAIAAtowvhOzgTQAlITlACKoQCEAAa8AF_ERP-6eXjAuAk8ADoHfkBviI0__w10QDK9v4A2PDAAd_7BP8L4vQA4R4T_9co3QAR3c0A-c4CADzb_AAKy_0A_PL3AAru1gJeBh4ADhcc_-oKKADzze3__cXdAAQk2f4P4fr8IgXmAPAF3wH-BS4A-AEnBgr1JPzbyQ0ByLnyAf7cv_8AH_P8A9T_-esWPAEj2gsCDgYDAs003wQH6hD28tUk_wgv1P0E7AwFJQMA_q4DFwLl__UQHicK-t_4Bwvy9icC7RkN9dq3DgEoyv_90xH8ABTE5AkC6hML_RwHARrk9PL09_D87AgLBsst-PogAC0dRhA7OBNACUhhUAIqcxAAGmAICwBW9hKt8fAJ0hvIMhfkxgXK5rH9_-MB__IJ5dL5H9TLDCcADskP2qUAAAA6zfMvvQAHe8rz_DkYFPa3gaYpGXoIEDfBzATaq-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-EEAAJDBAABEwgAAhEIAAHDBAACYwQAADMIAAFBBAAC4QQAAAMAAAHDBAADQwQAAHMIAAIJCAAAQwQAA4MEAALjBAAAgwgAAaMIAAEzCAAAgQQAA-MEAAMDAAABAQQAA0EEAAOBAAACAQAAAHEIAANjBAAC8wgAAAEEAAARCAAAAQQAAgkIAAIBAAACiQgAAqEEAANjBAAAAwAAAgD8AAMhBAADcwgAA2EEAAHRCAAAAwQAA-EEAACDCAACgQQAAAMEAALBBAAAsQgAAHEIAAFBBAAAAQAAACMIAANDBAADgwQAAGMIAAAzCAAAwQgAAAEEAALBBAAAoQgAAAEAAAIjCAACyQgAAeEIAAGDBAADowQAAAAAAAIDAAABYwgAAYMIAAGBBAADgQQAAAEAAAEhCAADYQQAA4sIAAFzCAADgQAAA-MEAAOBBAACgQAAAdMIAADzCAACwwQAAwMAAAGhCAADgQAAA4EEAAODAAACAPwAAXEIAAJDBAAAAAAAAHEIAAABBIAA4E0AJSHVQASqPAhAAGoACAACovQAATL4AAGQ-AACAOwAA-L0AALo-AAD6PgAAH78AAI6-AAAQvQAAML0AAIa-AAAUPgAA2D0AADw-AACGvgAAND4AAKg9AAAkPgAAGz8AAGc_AACOPgAAqj4AAKg9AADOvgAAqD0AAGw-AACgPAAATL4AAJ4-AACKPgAAXL4AAAy-AADuPgAAfD4AAGQ-AABsPgAA-L0AAIq-AABMvgAAoLwAAM6-AAAkPgAAVD4AAJK-AADgPAAAiL0AALa-AABMvgAAdL4AABA9AAC4PQAATD4AADQ-AABQvQAAoDwAAH8_AAAwvQAAmL0AAOi9AAC2vgAAcL0AAPg9AACOviAAOBNACUh8UAEqjwIQARqAAgAAkr4AAAw-AACAuwAATb8AAEy-AACgvAAAPD4AAHA9AABAPAAA6D0AAAS-AACovQAAiD0AADC9AABAvAAAqL0AAPi9AAANPwAAJD4AAPI-AACgvAAA6L0AAFA9AACCvgAA2L0AAJa-AAAQPQAAQDwAAIg9AACgPAAAcL0AADQ-AADIvQAATL4AAEC8AABkvgAAlj4AADw-AAAEvgAARD4AAKi9AABsvgAAJL4AALg9AACoPQAAPD4AAH-_AADovQAAHL4AAKo-AACGPgAAgLsAABQ-AABUPgAAUL0AALg9AADgvAAAiL0AAGQ-AAC4vQAAdD4AABA9AACYvQAABL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=qRktW_lWlb4","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["446817016285693447"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2842298046"},"4084001985301436687":{"videoId":"4084001985301436687","docid":"34-5-5-Z5CA3D411DFFE8395","description":"Given that a is less than b is less than c is less than d. Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1777199/6f346d9241b70ab71c4a614216f3a293/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/D_28SgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DeL47PFEpTAU","linkTemplate":"/video/preview/4084001985301436687?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Show that roots of (x-a)(x-c) + 2(x-b)(x-d) are real and distinct.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=eL47PFEpTAU\",\"src\":\"serp\",\"rvb\":\"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_BwX-AfD_Afv7__8A5vH7AAj9AQD8_wcDAQAAAPoPA_4GAAAA9wP58gH_AAAE-QT-AwAAAAYE_gf9AAAACQb3CP4BAAD5Afr5A_8AAP0I-fj_AAAA-Q4E8gAAAAD_BgX9AAAAAAgJ-wMAAAAAIAAtEgbgOzgTQAlITlACKoQCEAAa8AF_-_QB0PvS_-cK7QDXJOQBgiIK_v0w1QC_--sAzRXZAOQH9ADqEusA-gAT_70HAf8i7dv_9rX3ADDvAP8c9Sb_-PMYAALkAwAs_BcBGfQM_-0yD_7NBPwB_crgAAkq7wAK8xH61gjaAO4DxgIX5yoC5voqBAwDFQHvAPsHy_n5B9Dez_v5APME4_gJ_-YuIQI07xUF8RsN-O0R3v39Ae0DDtkM_Bv_zPsp8AUH5QsK-tTu-Pj8AegEEukC-M3pEQgBCy37-Q8Q-erp_P0P6PMF0O4I-xzpBAgE9_4C-eXyAvnz9_HlCfn13fgA_tzz9fogAC1jyx07OBNACUhhUAIqcxAAGmAQAQA32x_Y_Pkg5_bi5RnP9RjsFevT__vqAP4c8eLz2-XY_wz_JscA5bgAAAAoCAkpCQAHXgsB717i6gftudMZGH_6KBbECBYU8for1O8KEh_bJjkA3B3KJjTu-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_AABwwgAATMIAADjCAABoQgAAqEEAAEzCAABQQQAAgEEAAGDCAADAwQAAiMEAALjBAACAQAAAHMIAADhCAADoQQAAMEEAACDBAADAwAAAYMEAABhCAADgwAAA8MEAAAjCAAAQQQAAkMEAAKjBAAAAQAAA8MEAALjBAAD4QQAAAMAAAAxCAABQwQAAwEEAAAAAAACgwgAABMIAACxCAACgwQAALEIAAIBAAACoQQAAGMIAAMjBAACgQQAAQEEAAMDAAAA0wgAAwEAAAARCAACQQQAAMMIAAIDBAABwQQAAIMEAADRCAACAQgAA4EEAAKBBAACQwQAAIMIAAOjBAABEwgAAAMAAAHDCAAAAQgAAYEEAAABAAACowQAAAEAAAIC_AADcQgAAeEIAANDBAAAEwgAAAMAAAIDBAABwwQAAIMIAAABBAABwwQAAQMAAAKDAAAA4QgAA5MIAALjBAAAAwAAAAEEAABxCAADgwAAAUMIAAPjBAABAwAAAAEEAAFRCAAAcwgAAHEIAAJjBAADAQQAAuEIAAEBBAAAAQQAAcMEAALjBIAA4E0AJSHVQASqPAhAAGoACAACCPgAA-L0AAJY-AAAUPgAApr4AAJ4-AADIvQAALb8AAKC8AADYvQAAFL4AAJq-AAAsvgAA9j4AAJa-AADgvAAAqD0AAEC8AABsPgAAIT8AAH8_AADovQAAEL0AAKi9AABcvgAAyL0AAPg9AABcvgAAFL4AAKg9AACIPQAAiL0AADC9AABwvQAAvj4AAIA7AABkPgAANL4AALa-AABAPAAAcL0AAAy-AABcPgAAoLwAAAy-AABQPQAAPD4AAHA9AACYPQAA1r4AABS-AAAkPgAA6D0AAKI-AAAkvgAAoDwAAFk_AAAUvgAALD4AAJi9AABMvgAAoDwAAJg9AACAOyAAOBNACUh8UAEqjwIQARqAAgAAHL4AAFC9AAAsvgAAJ78AAKi9AABcPgAAtj4AAEQ-AAC4vQAArj4AAOg9AACIvQAAJL4AAHy-AAAMvgAA-D0AAFC9AAA9PwAADL4AACw-AACgPAAAQDwAALi9AAAwPQAAmL0AAM4-AACAOwAA2D0AAES-AACAOwAAuD0AAKC8AACevgAAJL4AAOC8AAD4vQAAhj4AAKC8AADivgAAVL4AAIg9AACIPQAAJD4AABA9AABsPgAAML0AAH-_AABEvgAAuL0AAAy-AADgPAAAZD4AAI4-AAAcvgAAkj4AAEC8AADgvAAA-D0AALg9AABAPAAAbD4AAOg9AAAMvgAAyL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=eL47PFEpTAU","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4084001985301436687"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"121371865"},"4115094910412640162":{"videoId":"4115094910412640162","docid":"34-2-6-Z929ED92A8138106C","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1627773/2219644104ff817902efb841fae49dc3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HlH8dgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dftv46CA1ODI","linkTemplate":"/video/preview/4115094910412640162?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find equation of line through (x', y') that makes angle A with the given line y=mx+c.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ftv46CA1ODI\",\"src\":\"serp\",\"rvb\":\"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-wAB_wDz_AgH9wX-ASkA-_rzBQYA-PQB8gMD_gD5CQYNAQEAAPoL-wMCAAAA-vz0-fX-AQAMDfsCBQAAABH69QH0AAAADQEBAf8BAADt_vP5AgAAAPr6Cfr_AAAA9vQGAvz_AAABCPj5AQAAABgKCwEAAAAAIAAt7d_OOzgTQAlITlACKoQCEAAa8AF_7CEB1NvNAOD37f_VJeMBrRsJAP0y1ADV7Qv_1g29AeP28wD5AggAACDz_84s_v87BPP_9rP3ABfNFf8V8_EA6fMMAAgCAwJMFRABJPf4_-EgLP358vsAFvLH_wkr7gAr6AL-0AW-__341P0j-y0B7goYBub7B_3w6AwB4fAIBeT22f0CEO0K6fr7-uUwIgIp5CEC-ikJ--Ph4__89QP6_uAW_Rz_yvsYCAQExigM_90E2wPw1ucCHCUJ-tTU_gjr7gkA2OYA-Pe_C_3g4A30zP75_gn0AgX_5AQCBfrsCBjm9fPLFfL16fnvAt7hBPcgAC1U6Rg7OBNACUhhUAIqzwcQABrAB7fs2L5dd6k8sdTEvL06BTvWBAy9lXDXvEvTtr2Wyys9rO4HvXpwJz5tpmc8PgKkvXTq6r04QhC9tmAQvJjdIz6BSZC9Q_T1vHV0_L0vE5o9CwIQvfxUJb4x2S68B3PmNwj3hL09uze9xugQO-8RGz3BxL-9CJABvQGcxbt9_sG7oJJuvfQfLT0_ube9nj8Sva1_4Tyzxb-8xE8tvNHN_jzBviO87fXJvKGUej1kaKu8waq6vOEfu70BQIS8ObTtvC_i1jzO3Kg9MMehPHgANb1Xp_M6xYLvu_kUgLw2dLO8PQpXvGYW4T1BtQY9E9aGvAmuTbxvuVq9cD8FvdkF471r-FG98He9OycXEz5P1XM9FamwPBjSAb5Jg6s9liYlvN9s0z1A-5E8IyyqO6VoJT7Y-Ke8TkiWOQOY8j0Tysw8XFnivGdeEz2h6Kq7NpoyPezdB7rpS6m62zG1vDuZ7jxpXTm9NRL8OjZDw7sD7z898Bv8ugSicT3cIwW9QSsNPICqW73S0FU9GniDOwUjpT3WAju-SeWaOnX4Vb3B_iu9Fyp_vMHkxjxS_rQ9zdmMvHFBkTuoV2W9jRHkO1UJYDzXIW089L_gOxeZI7xnLHW9i7hKPJHclb1R3CE-PpQOOvDVlju3HzU9Yp3Pu3iJID08HPg8m8iKOyM4hD2BLWW9-HGPOpmLrjzrnmY9ZKIUu6iS3Dw7wLg9RcYqujTgxz1RuIM8axvzOdkQEr1Jzei8WkKlO_mNZTwkzFm8XPLsuqGd0z1RgZi9l51ROb-rD73tBri7PoraOUuZLzx4XIk9_hdVuDFNibuNHUS6i4KoOFQb_L1iu_u9E9PyOfX9bz3Nxq88zuBkuG7F2TwK5Mi83-UCOtwUqr3DSZo8NaKsujLXqL1W2q09cazSuB01yz1QllA9W6xhOD9uZDy-WC27N32DODAmQj3pMiu9J0wAub8gM7ysG889SQw0NdRWNr3NKgK91X4ruBQEDz0QXQA-jcNxuOsPHrz6Y_U8DjI2t3uSqjwvgks9YQ3vuBUUkDxz5YK9j-l8OJgrKD0opyy8DI-IOMrhA74Q1x48l_1ON_4bqrx9ezK9qD7PN8TPDz48aum7nsuVNm9PCz1nuAE9MGOYOPcBKD5wYd298We_uflK4L0Mj929YzNEuB2ZorwigVC88_oOtfC7Dr3HFj09v9KzNmEGeT3zOhK-S-epuOobQbumqcQ97EGXODmhC73REIQ95dPVuG4Djb0naa49v_cWN5URsrxlMKs8ixWPNiAAOBNACUhtUAEqcxAAGmA79gAe9C7dAvYV3OLO9Rna3OPDC87n_xTo__zg7xciE9K61hb_GcIm2qEAAAAg_eIe-QDkdNjKQ0kd0PrdotELG3__Cu6-DkX5zeMaAiHtLUQgS0wA-RvHQjrtzTRR8icgAC1udxk7OBNACUhvUAIqrwYQDBqgBgAAfEIAAKjBAAAEQgAAuMEAAHBBAAAkQgAAlEIAAMhBAACIwQAAMMEAAMjBAAA8QgAAsMEAAFBBAAAgwQAAiEEAAChCAACmwgAAoEEAACDCAAC4wQAAkMEAABzCAAAQQQAAiMEAAMjBAABQwQAAmMEAAMDAAACwQgAAIMIAADRCAAC4wgAAGMIAAILCAACYQQAAJEIAAFBCAADAQAAAgMAAAKBAAACQQQAA6EEAAJhBAAAkQgAAKMIAAIBAAAAAQQAA0EEAAMhBAADwwQAATMIAAAjCAABAwQAA4EEAAABCAABgwQAAIMIAAKhBAAAwQQAA4EAAACTCAACAwgAAyMEAAFDBAADGwgAAQMEAAEDCAAAwwQAAkMEAAGRCAADgwAAAcMIAACxCAAAEwgAA-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-AACoPQAAFD4AAHC9AABAvAAAF78AAAS-AAAQPQAAiL0AADy-AABwPQAAlj4AAGy-AABwvQAAyD0AAEA8AAC4PQAA2j4AAH8_AABEPgAABD4AABA9AAAwPQAAcD0AAEQ-AABsvgAAgDsAABw-AACYPQAAUD0AAIC7AAAcvgAAgLsAAIC7AADoPQAALL4AAFy-AABMvgAAbL4AAFA9AAB8PgAAUL0AADy-AABQvQAAXD4AAES-AADIvQAAbL4AAOC8AAAcPgAAUD0AAEw-AAAwvQAA2L0AAA0_AADgvAAAgDsAAPg9AACovQAAXD4AANg9AABMviAAOBNACUh8UAEqjwIQARqAAgAAZL4AANg9AAAQvQAAQb8AAAy-AADYvQAAtj4AADS-AACIPQAAtj4AALg9AAD4vQAAdL4AAAS-AACAOwAA4LwAADC9AAANPwAAiD0AANo-AACYvQAALL4AAI6-AADIPQAAcD0AAOC8AAAMPgAAmD0AAOA8AAAwPQAAEL0AAOg9AAD4vQAAQLwAAKC8AAD4vQAAmj4AAEA8AACevgAAQLwAAFC9AADoPQAAML0AABA9AAC4PQAAML0AAH-_AACoPQAAuD0AAKC8AADgvAAAcL0AAHC9AABQvQAAoLwAAOg9AACgPAAAFD4AALg9AAAUPgAAHD4AAPi9AABQvQAAPD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ftv46CA1ODI","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4115094910412640162"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"741533598"},"17878871486700440010":{"videoId":"17878871486700440010","docid":"34-9-0-ZD809925ABA2D8F4F","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Over 1 million lessons delivered! Full benefits include smart...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1522502/816dad70b0e6e25f6ba2105254f09ae7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Jxd3ZwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DBX-MWB8jZog","linkTemplate":"/video/preview/17878871486700440010?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find the domain of definition of y = 1 / log[Base 10] (1 - x) + sqrt(x + 2).","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=BX-MWB8jZog\",\"src\":\"serp\",\"rvb\":\"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_E1CCBCQBgAQrKosBEAEaeIHqBgsCBPwA6AoEAwsB_wAU9gH29gEAAOEB9v8K_AIA-vT9B_wAAAAMC_cL-wAAABP07Pj-AQAAAvcA9gQAAAAQA_7__AAAAA__7AH_AQAA9_fp_QP_AAD6_QMHAAAAAPgQBfD__wAABAT8BwAAAAD3-v74AAAAACAALUzFxjs4E0AJSE5QAiqEAhAAGvABf_QF_s3l3v_UBPUA5CL4AYw_BP_jKsr_vQISANLutgEAEdkA6ATr_wYFCADcRO8ATPO__xW4PP9gsgv_DMP8APHkAgAU_t8BQxMcA-3w5v7VDw398cTq__271wAFYNf9GP7-BBII5wIGOM8DHeA1AwLmMfwc8ikD9a_yBNTb_wT91rT--DX2AfK7BALnGkYBIsAnABL_GfzMHdEACOYT9AnsHPQiIdv9CwwEEQ7rAwW3-gMB1PD_8zIi_QG_4xYK8PUuAt4J-_bkwPX_Vu7---Ew6Akt4vUJH_ERBQAT8wE13ffwyf_p89_0--nS7_L4IAAtReL2OjgTQAlIYVACKnMQABpgLPcAJhUp7Bb8IPEe2Q0N393x4AHb5P_v9wDf-tsMAwzDwO0JAB_XH_O1AAAAIfnxLOIAB2LdCPNNAwUD16i2-Cd_CxP4xf4lBd3dKfP38hMH9ypDAOUPvggfDLBHFx8YIAAt3Jo1OzgTQAlIb1ACKq8GEAwaoAYAAERCAAAgwQAAyEIAAKLCAAAQwQAAqEEAACxCAADoQQAAwMEAAAAAAACAvwAAqMEAANjBAABgwQAAkEEAAIhBAACAQgAAKMIAAOhBAADwwQAAQMEAAPDBAADewgAAgEEAAIzCAABcwgAAcMEAAADCAAAkQgAAQEEAABDBAAAAAAAAdMIAAIA_AAD4wgAAQMEAAHBBAACIQgAAgMEAADhCAAAgQQAAIMEAAODAAADIwQAAYEIAABzCAACYwQAAUEIAAKhBAACIQQAAAMIAANDBAAAYwgAAKEIAAAxCAABoQgAAxsIAAIC_AAAAQgAAoEAAAGBBAABkwgAAKMIAAGjCAAAwwQAAzsIAAODBAABAwgAAMMIAAMjBAABsQgAAGEIAAEzCAADoQQAAkMEAALhBAAAswgAA2MEAAABBAACwQQAAoMEAAKpCAAAQQQAAoEEAAIDBAADQQQAAUMEAAGTCAABUQgAA0EEAAARCAABsQgAATMIAAEDAAAAcQgAACMIAADzCAADQwQAA2EEAAHRCAABEwgAA2EEAABRCAABAwQAAVMIAAJhBAAAQwQAAMEEAANDBAAAUQgAAIEEAAFBBAACgwAAADMIAAKDBAAB8QgAAAMEAACjCAAAswgAAAMIAAOjBAABIwgAA4MAAABDBAACowQAA6EEAAODAAAAAwAAAIEEAADBCAAAwwQAAssIAAABBAABcQgAAEEEAAHRCAACYQQAAgkIAADjCAACYwQAAwMEAANBBAADQQQAAqMIAACBBAAA8QgAAUEEAAPDBAACgwQAAMEEAAIC_AAAQQgAAPEIAACRCAADAQQAAUMEAAHzCAADowQAAGMIAACDCAABkwgAAFEIAANBBAAAAwAAAsEEAAEBBAAAQwgAAxEIAAKhCAABgwQAAqMEAAIBBAADgwQAANMIAAGzCAACgQAAAMMEAAMBAAADoQQAA-EEAAM7CAAA8wgAAgMAAADTCAAAcQgAAMMEAAEjCAABAwgAAIMEAAABAAACeQgAAkMEAALBBAACAwQAAgEAAACBCAABAwAAAAMEAAOBBAAAAACAAOBNACUh1UAEqjwIQABqAAgAAUD0AAJi9AACePgAAqL0AAFC9AACOPgAAyD0AADe_AAB0vgAALD4AAOA8AAB0vgAAJD4AAKg9AACYvQAAqL0AAFQ-AABQPQAA4DwAAJY-AAB_PwAAgj4AABQ-AAAkPgAAUL0AABC9AAAEPgAAkr4AAMg9AAAcPgAAJD4AAOi9AACIPQAADL4AAHw-AAAEPgAAJD4AAHy-AABMvgAATL4AAES-AACCvgAAPD4AAEC8AACYPQAABD4AAOg9AADIvQAAML0AAMK-AAAMPgAA-L0AAOg9AADePgAAJL4AAOC8AAAvPwAAqL0AADS-AADgvAAAED0AAFA9AACCPgAArr4gADgTQAlIfFABKo8CEAEagAIAAMK-AABMPgAAuL0AAC-_AABcvgAAgDsAAAQ-AACOPgAAyD0AAOg9AACovQAAoLwAADS-AAD4vQAAHL4AAIC7AAAMvgAA3j4AABS-AADSPgAAUL0AALi9AAB8vgAA-L0AAIA7AAAEvgAA4DwAADA9AAAwPQAAML0AAOC8AADIPQAAPL4AAKA8AACIPQAAdL4AAJI-AADgPAAAlr4AAEw-AACKvgAAjr4AANi9AACoPQAAcD0AACS-AAB_vwAAij4AAGS-AAA8PgAAUD0AABA9AACIPQAAJD4AABA9AABwPQAAUL0AAKA8AAAcPgAAED0AAOC8AAA8vgAAFD4AAOg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=BX-MWB8jZog","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17878871486700440010"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"981313030"},"11307283354923771236":{"videoId":"11307283354923771236","docid":"34-11-14-ZCF500D4AFCB5AA1B","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1011502/b8781363a58a0c62d7d5b9ef65ea5b10/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/_cNXMQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DcbKGNv3aRNE","linkTemplate":"/video/preview/11307283354923771236?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find the conditions that lines y=m1x+c1, y=m2x+c2, y=m3x+c3 meet at a point.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=cbKGNv3aRNE\",\"src\":\"serp\",\"rvb\":\"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_E_oCggQkAYAEKyqLARABGniB9vv7-_sFAPv-DQT7Bv0C-QwA-vn-_QDxAAL8_gEAAPYDAQIHAAAA_gYECgQAAAADAPQA_f4BAAYD_QEEAAAADPr5_P4AAAAQBQAM_gEAAPgB_AED_wAABQEA_f8AAAD3Awv8AQAAAAYO_fgBAAAA-_oBAwAAAAAgAC1ZkeI7OBNACUhOUAIqhAIQABrwAX8ICAHT2swA2xHeANQn4gHEMw0A_DTSAMgCDwDZ8cIB4PsE__sA-f7iEwEAxR7XADPV0P_5zwIAIsD2_yXT7gHJ_vEAGun1AVwGHQAL7_z-4CIt_evf_f8UwewAACj5_wr6IAEI-9kBAAbgBAofNQP7Gib_K_09A-CtJQDn1wkE7N3Z_f8iFPn91RgA4PUwBwvL6wUPBQj07BPc_RH2AvoBzg3-FT_p_yT_CP8IF-8Gw_sDAfTp4wkENhb_8wLl-OXhHv_WA_n_0-8HBjvbAPjiAPcFFN_5Cvr0CvwQ7AgO_-rsAOYQAwcM_PQB5hne8iAALY27Ezs4E0AJSGFQAirPBxAAGsAH8S3kvjPFNz31Rxy8nAGJvOPUmLw47W69FNqYvSdPeT0LEYm7by4ePi3gr7xhFZS8dLUVvpmDkD0tBg-9xVWFPlQwb72bfyq8dXT8vS8Tmj0LAhC9bTvtvX24P7wa8hU8zL6RvfG0obxq9O47HQDxPfXVFb35njG9soJfvfQIpLx5fJa8K4jBvMMXHL1JW-a8ZTsbvFf0Xb2f2mM6agSBPZOQk70PWCQ7oZR6PWRoq7zBqrq8yL_FvA5ANDoSjrC7kFEZPXqEPz38Ziw97tAwvVh6iLyLKs-73wkMvc8pUDm2jh68PQo3PaZGaLyTxqi8ZUOdPXc1tL2QdjK9VRTPvc5D_Tvo-Kg8RgrlPaOWIDxTze47HT3evb7ADD67CAu6EsnGPCpPhbxCQ3-8APKEPYkrAj34Ky480ICVPUOQgzzBfZG77e4DPBcvFDx4o4U8huJOPZD-cr1GoFW8oJuHPQj4fzxrvoi70m0OvUiSmz043Q-8UAgTPVVjLjzGFoI7Rp-qvDfMaTtBsI88xTVDPfhRDb4Jbyy7V3s4vS-H_b0qoGY6d9zwPEb7Lj32Dae8bvzpPUzkrb0rc6m7-dAPvdfep7p-Wt473035uuNMOL1lGcG6IYZnvTpoBDxdjJ67GlUBvYuBHz11LCW86ezJPEwYzT1f6Jq5uNIGPQhW1b0-uhK6oYbPPaUX0juj6rK7TBGaPUh9Yz06hV65KHEHPQZUzTqfMV27YS0jvfx4IDz-a964xxFLvSBOlrzX6Au77nScPazizb0q_7051Qj9PL299TwirI651g1qvQK_YT3zKHu4en33PCoetLqWGKe3rS-3Ov0S8b28I4k5uFb7PNlxy7rLzwy6WqFIvIu8UTzOEx85L1DyvahcnL1DgL-31rXsPJYCGDybw4A5gxPRPSHz9bswSxA4vNRDvUFYFbu5SOa3k499vd3q-Tys0pw5iFAAva7C3ru0A1q4Wq-DPQGPw72m0Vo5CoCxvCcX4z1iYJK5AFoQO9aXWzxrvCi45lViPVOSVT0ALio4ixaAPUQqwb19KiM4baljPag04jyxRbS4IvsAvsZfJD0XmGU4QT1oOxzr4rwBsfW3-wcRPQbGkzuAcgq4JSQOPGwokLyJTsU3kl0ZPtlPUL2swj-5uF2Tvc-rkL3adUS4c_lqPFX4o73jEDs32myhvY3msj0hdAk4YQZ5PfM6Er5L56m4yvRwPSLhKz7xy4o4l7sDvNLTwT1Rasm4Wu3GvQ8UMz1o2_s36xYGvUkyhry7hZ84IAA4E0AJSG1QASpzEAAaYCb4ACAQOeEQ3iTrCtb3BcfT6skBxAz__QH_-wPCGA72wbQMDv8F1kDmoQAAACkE-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_AAAowgAAFMIAANjBAABMwgAAoMEAAMBBAAAUwgAAHMIAAMBAAAAwQQAAQMEAAIBAAAAYQgAAUMEAANTCAADgwAAAeEIAAABBAABoQgAAoEAAAKpCAAAYwgAAcMEAAEDAAACgwQAADEIAAMjCAACAvwAAZEIAAIC_AAAQQQAAuMEAAIA_AAAMwgAAUEIAAIhBAABoQgAAMEEAACBBAACSwgAAgD8AABjCAAAowgAATMIAAAhCAAAQQgAA0EEAAChCAACowQAA8MEAAMBCAABQQgAAQEEAALDBAADgwAAAsMEAAFjCAABYwgAAEEEAAIDBAABwQQAAAEIAAMhBAACuwgAAwMEAAKBAAAAMwgAAIEIAAIBAAABAwgAAVMIAAIA_AABQwQAAjEIAAEDBAADAQQAA8MEAAGBBAABAQgAAIEEAAKDBAAAEQgAAQEEgADgTQAlIdVABKo8CEAAagAIAANi9AAAEvgAAbD4AAAy-AABAPAAAyD0AABA9AAARvwAABL4AAEA8AADovQAAgr4AAOg9AACqPgAAEL0AAEA8AADYPQAA4DwAACQ-AAAHPwAAfz8AAOA8AABwPQAAoLwAAKC8AACAOwAAuD0AABy-AACgvAAALD4AAIg9AACYvQAAUD0AANi9AABcPgAAoDwAAOA8AAAcvgAATL4AAAS-AACevgAAqL0AAAQ-AACIvQAABL4AAIi9AABUPgAAgDsAACS-AABkvgAA-L0AAOA8AAAcPgAAjj4AAHy-AADgPAAANz8AADw-AAAsPgAAJD4AAOC8AACGPgAAcD0AABS-IAA4E0AJSHxQASqPAhABGoACAABcvgAA6D0AACS-AAAdvwAAuL0AAHC9AACKPgAAEL0AAOC8AACuPgAA2D0AAKi9AABEvgAALL4AAIi9AACgvAAAgLsAAA0_AADovQAAzj4AAEC8AACAuwAARL4AALi9AACAuwAAFD4AADA9AAC4PQAAgLsAAJg9AABQPQAAuD0AANi9AACYvQAAgDsAAJi9AAAUPgAAFD4AAEy-AACgPAAAZD4AAOi9AAAwvQAAQLwAALi9AABQPQAAf78AAIi9AAAUvgAAMD0AAKg9AABAPAAAUD0AABC9AAAkPgAAMD0AAKC8AACoPQAAgLsAAFA9AADgvAAAmL0AAEC8AAAMPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=cbKGNv3aRNE","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11307283354923771236"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1065636913"},"2884186628693616079":{"videoId":"2884186628693616079","docid":"34-11-1-ZC03A49F6DFE6C58E","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/406739/5bdd580e10ec0187621261881318360f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/hrzjSQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvtmG1hhEUi8","linkTemplate":"/video/preview/2884186628693616079?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find coefficient of x raised to power n in expansion of [2 + x + square(x)] / cube(1+x).","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vtmG1hhEUi8\",\"src\":\"serp\",\"rvb\":\"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_AcI9wAA-P8D-gf9AiEC-v4DAgMA1fLwBAj4BAD6-Az5AgAAABkKAwIKAAAAEwj_-vYAAQEPBAH-BQAAAA76AAABAAAADhDtAv4BAAD4Avn3A_8AAAD_Bfn_AAAA-BEF7___AAD1GAf4AAAAAAIZCPP__wAAIAAtBA-8OzgTQAlITlACKoQCEAAa8AF_9w__yvrM_98l7wD5BvQBwTYNAPw30AC36PEAxhjUAO0IBQDbBOgA9h4CALUuHgEU1rACBMQW_z_F5P8h5e0A8-cCAD_W_QFTFxEB-_v-_94jMP0Dw_oBC9jm_wQm2P4h8BT7CfrXAewDvgIQ_kIB9-IRBfECFPzaxw0BuOAR__zk3P0QFv398e8H9uUhCQAt4SQC5g3u9tIa1gD1-vb9Et4n_Agx0v0J6uYIEwPp_aDc7Pz0APL9LvQX-M_a4wby9igC9gX86t7LBPg28wD09QT8AyPX5wL5AvYEF-_8_Q72_PX_6_Dm2zYAAt4J9OsgAC1O_As7OBNACUhhUAIqzwcQABrAB3pR475vUSC6hTJDPKn3FLxEJcO7dy7MvHyhmzwi3RQ9gMRlPH7Iaz52aB29jexKPDTJHr2oc6A8_MXsvP29dD6SVEu9A7HsPHV0_L0vE5o9CwIQva4OgL18RAy9hkcPPAj3hL09uze9xugQO6tNoj1U3B29CXYSvbOudr3rPfC8IIAvvSgTMj2wXyu9sac9vTf0e71cYVE73Sx7u6GjsDw2YOu8qtqLO1wQYD0Al1a9jlGovNd-p70L_V28d0tyvPDnyjsfg1U94o-HPAR2cL1erF48qOukvEYmoLzbTwa8KahROyZAqD2QqCs9b9GuvNjCBz1Ex5m98juyvK35Ab5UpZI8IdHfO_CLCz7zP7O74jrGOx093r2-wAw-uwgLuneKED0CZ4S9vxwLvLjuA7vywmc9rCswuyCcKj1Iqs46wmz-uzEtRb0kYLY79LCGPPTzUD3TwA-9u5KuvP6vjz3MKuy8YKiJu3yddL02wgw9on3XORvtXT1vFLQ8VUxBOpah4LwL7LE83GYqPMU1Qz34UQ2-CW8su_pYpr3LUJC9Haeuux1twT05aRA9LgV_vG786T1M5K29K3Opu8ToXjwHNIU7E9OFPBeZI7xnLHW9i7hKPPggH72DjBs9vPpCvAcjNr28HJs7o8owvMuY57xaDbk97IyIO9BPJ713ooS9ofeEOvji6z18lUE9Rf6yujjYOz2jAgc-PZzrufc_qz1DId27Kvm7uwTKJr29d227TeaKOjUeMb14hj-94DucOm0D1z21o9i9DJ-vOVmTXTxYUvI7c2CcupSJ270J3Zo9773oOEMIgjsU8Ma8nERSON0qo7xXPcC9kQYeOfTSHj0gNfe8AMJeOKnTKrvAXmE83VtrNpSk670Rwf462PPSuLhU67uou507qIgjuR01yz1QllA9W6xhODF_YD3GK5o82Ar9OCtXM729L1g9vvfmOHTWQr2AUqO6c25mtVqvgz0Bj8O9ptFaOSn0sLx60JI90TlKt6xjJrwGVkS85C4AucFYnz0LGZ49vRkjOBUUkDxz5YK9j-l8OIvXlj2fDwU9II0VuLSQEL7YjKI9mXsEtw5RQL0XyQe8XvaStrfEOz0_3pC8Ud-FOMBVhTsi6Sq7zQcDuB-fAD6k5JC9Feg6uagmp71UPcS9HLiDuC46OT0QdDm9rewrN6Z_6b2MZLQ9PCjpOB3jDDxnRt-9aVASuMr0cD0i4Ss-8cuKOO2WRjp16KQ9Cm7juG4Djb0naa49v_cWN8XdRb3_q9C6poM8OCAAOBNACUhtUAEqcxAAGmBI-QAzFDDTAAYe3ADG8ADU4CbTDNvo_wrN_w8Z2gcpysGrJe3_IegX7Z8AAAA0BfIo-gAif-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-wgAAoMAAAPhBAAAwQQAAgkIAAJBBAACUQgAAmMEAAODBAACAQAAAEEEAAMBBAADAwgAAiEEAAFBCAAAAQAAAAEAAANjBAACAvwAAgL8AALBBAAAkQgAAZEIAAMBBAACgwAAASMIAALDBAADgwAAARMIAAHjCAAA8QgAAUEEAAHBBAAAUQgAAAMAAAGTCAADCQgAAnkIAALDBAABwwQAAAMAAAABAAABcwgAAXMIAAPBBAABAQAAAIEEAABhCAAAkQgAAvsIAAAzCAACYQQAAPMIAABhCAACgQQAAMMIAAEzCAABQwQAAEEEAAHxCAACAPwAAHEIAAAAAAACAQQAAnEIAAIA_AABQwQAA-EEAAIA_IAA4E0AJSHVQASqPAhAAGoACAACAOwAAQLwAANY-AAAwPQAAqD0AAFw-AAA0vgAAHb8AAHy-AAC4PQAA4DwAAGS-AABEPgAAiD0AACS-AAAsvgAAnj4AAEC8AABQPQAA1j4AAH8_AADWPgAAoDwAAKA8AACYPQAAiL0AAFQ-AABkvgAAQDwAABw-AACYPQAAiL0AAEA8AACgPAAA4DwAAAS-AABkPgAA6L0AAIq-AACmvgAABL4AAOg9AACaPgAAoDwAAKA8AADYPQAADD4AANi9AABQPQAAlr4AAOA8AACAuwAAND4AAAc_AAAMvgAAqL0AADk_AAAUvgAAqL0AAJi9AAAkvgAA4DwAABQ-AADuviAAOBNACUh8UAEqjwIQARqAAgAAfL4AAKA8AACgvAAAG78AAKi9AABAvAAAsj4AALg9AACoPQAADD4AAKA8AAAQvQAAyL0AADS-AABQPQAAqD0AAIC7AAAbPwAAEL0AAK4-AAAQPQAAUL0AABy-AACYvQAAMD0AADA9AADovQAAoDwAAEC8AACIvQAAyL0AADQ-AAAcvgAAlr4AAPg9AABwvQAAoj4AAIg9AACGvgAAmL0AAIC7AABwvQAAgLsAAHC9AACWPgAAUL0AAH-_AAAMvgAA4LwAANi9AAAkPgAAqD0AAIC7AABwvQAA2D0AAJg9AABQvQAAVL4AAPg9AABUPgAAND4AADS-AACIvQAAiD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=vtmG1hhEUi8","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2884186628693616079"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"461020273"},"11871955534807341256":{"videoId":"11871955534807341256","docid":"34-10-4-ZF8454B5C97FB7804","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Over 1 million lessons delivered! Full benefits include smart...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/914618/120506aa76b978f6f3eec6ac68db06f6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/hgtEJgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DGFgzwvQOzEo","linkTemplate":"/video/preview/11871955534807341256?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find equation of line through (4,3) and making intercepts on axes whose sum is -1.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=GFgzwvQOzEo\",\"src\":\"serp\",\"rvb\":\"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_E9YBggQkAYAEKyqLARABGniB9QEC_gX6APkR_A4GCPsCFhEPB_QDAgDgAfb_CvwCAOoKDwP-AAAAAP8CBf0AAAAB9QEF9P0BABT-7ggCAAAAIf3y-vwAAAAPDfsE_gEAAAf5__76AQABBv0DBQAAAAD6AQsA-v8AAP0RBgEAAAAA9wEJ7___AAAgAC23ycI7OBNACUhOUAIqhAIQABrwAX8ECQG-7df_9vXpANgM6gGeEwv__S7XANH3_wDaDMIB5PsEAAkD-gDmGhD_syDZACDu3f_61QIAINvy_xfiAAH49BcA_dYGAjIkFgAE9_IA5B4o_uPS-wD-zeIADBb0_g0ND_7_C-4B7wPJAg3-NwHrDS0B_wMaBPPMB__d0wr__uHI__kPA_wSxRb95PYqBgrTEP4FGAgF2hH0_f7sCgUEwAP_Byna_iELBgz5GAMF5gP_BP_6-wAaIgn70wII_PcEFPPnCBXx6-r8_Rji_gH2AO0DDe4CEA3-_vz19fv9BO__9usaAQAE9QUA4wf27yAALc0dJzs4E0AJSGFQAirPBxAAGsAHOSv6vhkDDLw277S6HMg_vQnqjDuczC69u9urvKUyID2T29s8pg7yPZX0MLxkyWe69pZivgV4gTx5Pw28y4AzPubRiL2YYjM8dXT8vS8Tmj0LAhC95_4qvl3L_zxIdCo8JAWLvQMWj73k-z28ch5pPTtqcb28tDy9b4sIvUNHB7oj2Bi9D1hDvT8ZY7xsiea8bjC5PNkFSL1qocc7agSBPZOQk70PWCQ7xMF0PfwcvLoOsYu7EzwNu_PW7zzzTJq64Z-tPJ_a6jx5qM-4SXQlvQhcEr3-XHq7BmJ-vR2lXLwE5r46lVKGPSMxwTy7ZWK8YpOpO3EqyL3Iaqm8rfkBvlSlkjwh0d879bwrPs0seDz6er48xmGqvatbnT3u1Jo7UocPPFATorygbIq8SxcHPf-JGz00z1s8-6REPdF_qjxNW6288jO_PKpr4zx0Yg899PNQPdPAD727kq68HLZNPZCuCL0SaZu80m0OvUiSmz043Q-8jLJIPIhWXTzIGZQ8RU78u5J1GD2dJtg8RVylPHO49r3kBDc8x4NtvVcQjr2dt1a8IrCYPRbGcTwju3e8bvzpPUzkrb0rc6m7Ry1POkAWATzWlUe7ZLZgu6gEj72aNBm7IyuEvQf0nT1ywAO62L_GvMTeVTx_8TG8Qp--PFwxjT1He5M7KcSrOyfrob1sBno7aMCKPbXAgzwUJog76zczPTFnUT3Gcfk6KHEHPQZUzTqfMV27BMomvb13bbtN5oo6TsRsvErVEb3seJ-7bQPXPbWj2L0Mn685HV1APTlOQLvMNsi5X61_vS7isD0JAjo5kG30PLLoR71t68C5RG_MvOxnlr2bzOo4xRpTPKgvETyM9E26ylOWPJOHqjwSrwA6f35kvaOxMb1g3eM6zPvuvFY9CTu7u5a5RprYPbIzAD3WC5A47NsLvLbsmLsfRS-6NxxxvI84pLyjmKS4YWZpvDWtPj0A7om4qyaIPc-3mr37n4c5zfIrvOMmmT3azh-4m87pPNbyVD1Uyx649kczPaY0cT0K7bG4h0VWPdNlpr2_KPQ2cHATPRFcQDzq3YA5IvsAvsZfJD0XmGU47h3aPBwZtbyflGy3gHEbPKFx17y0eR-496ikPKsg67zxcd42kl0ZPtlPUL2swj-5IHJkvZ7ZKb0EK3-4c_lqPFX4o73jEDs32myhvY3msj0hdAk4va8FPaVJCb6tnoW4yvRwPSLhKz7xy4o47ZZGOnXopD0KbuO45yOfvTfAcTztZJe3VB9ovQgTMD09HIw4IAA4E0AJSG1QASpzEAAaYBj1ADn0NtEO6yrT8MTuQuHa_9kauvr_Cc__-Q3iGQT_yN4B9v8MySnpoQAAADXX3Pz7AMF_3cgeVwsH7Kay2QYeYvs3B8DpO__e3RoBGfMPRusxXgDe_MBQIenANzoSCSAALYRbGjs4E0AJSG9QAiqvBhAMGqAGAABYQgAA4MAAANRCAACSwgAAEMEAAIC_AAAUQgAA2EEAALDBAABAwQAA6EEAAADAAAAMwgAAkMEAAGDBAACgQQAATEIAAIzCAAAQQgAAuEEAABDBAAAkwgAAxMIAAABCAACAwgAARMIAAKhBAAAowgAA8EEAAFBCAAAgwgAAoEAAAILCAADgQAAAlMIAAEDAAACYQQAAmEIAAFDBAAAYQgAAwEEAAABCAADQwQAA0MEAAEBCAADQwQAAgMEAADhCAAAwQQAAkEEAALjBAAAswgAAgMEAADRCAAAoQgAAcEIAAJLCAAAwwQAAUEEAAFBBAAAgwQAAmMEAAGDCAACQwQAA4EAAAK7CAACYwQAA2MEAAATCAADwwQAAMEIAAARCAABswgAA0EEAAKDBAABUQgAAdMIAAKBAAACAPwAADEIAANjBAACSQgAAQEEAAADAAABwwQAAsEEAAEBBAACGwgAAikIAAAhCAACgQAAA-EEAABjCAACIQQAAQEIAAPjBAACIwgAAgEAAAIjBAAC6QgAAGMIAAPjBAADwQQAAIMEAACTCAABQQgAAMEEAAIhBAACgQAAASEIAAKhBAAAwQQAAoMAAAEDBAAAAwgAAhkIAAIDAAADQwQAAZMIAAEzCAABEwgAAUMIAAAAAAAAMwgAAoMEAADBBAAAQQQAAKMIAAMBAAAAIQgAAuMEAAKDCAACoQQAAjkIAAIBAAADAQgAAgL8AALJCAAA8wgAA4MAAALjBAACIwQAAyEEAAJDCAABAwAAAgEIAAIhBAACAQQAAmMEAAJDBAABAwgAA-EEAADRCAACQQgAAAEIAAKDAAABswgAA6MEAAOjBAAA4wgAAFMIAABRCAABAQgAAgEEAAEBCAABgwQAA-MEAAJBCAABYQgAAQMEAAODBAADgQAAAuMEAAFjCAAB0wgAAQEEAAGDBAADAwAAAREIAAHDBAACWwgAA2MEAAODAAABowgAANEIAAEBBAABgwgAAdMIAAIBAAAAAwQAAikIAABDBAAAAwQAAAMAAAKBBAAAEQgAAUMEAAIBAAAAgQgAAyEEgADgTQAlIdVABKo8CEAAagAIAABw-AADIPQAAcD0AAFQ-AAAMPgAALD4AAKi9AABdvwAAgr4AAAw-AADovQAAML0AAOC8AABUPgAAJL4AAES-AACGPgAAcD0AADA9AAAnPwAAfz8AACQ-AACGPgAAmD0AABA9AABwvQAATD4AADy-AADIvQAAiD0AADQ-AAD4vQAA2L0AABC9AABwPQAAcD0AAKA8AAAUvgAArr4AAAW_AACavgAABD4AAFQ-AAA8vgAA6L0AANi9AABcPgAAgr4AAKi9AADmvgAABL4AAIg9AACAuwAAgj4AAAS-AAAsvgAAXT8AAAS-AAAQPQAAiD0AAHC9AACKPgAA-D0AAKi9IAA4E0AJSHxQASqPAhABGoACAADYvQAAVD4AAIi9AAAfvwAADL4AAKi9AAA0PgAA6L0AAPg9AACGPgAA2D0AAEy-AABwvQAAhr4AABw-AAC4vQAAED0AABE_AACIPQAAAz8AAIA7AAAEvgAAgDsAAMi9AAD4PQAA4DwAADC9AAAUPgAAgDsAAOC8AADgvAAA-D0AAKi9AACAuwAAFD4AACS-AAB8PgAAXD4AAI6-AACYPQAAmD0AABA9AAC4vQAA4LwAAEC8AAAwPQAAf78AADA9AAAUvgAAuD0AAKi9AADYvQAABL4AALg9AABQPQAAqD0AAEC8AABQvQAAEL0AAKg9AAAQPQAAgDsAADw-AAAsPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=GFgzwvQOzEo","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11871955534807341256"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2146118993"},"7319916807757433861":{"videoId":"7319916807757433861","docid":"34-4-5-Z8F4757483DAEAD19","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Over 1 million lessons delivered! Full benefits include smart...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3192014/7b683a75029c4ee824c88bf60867ab99/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/JFuI8wAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DamTKrRLcCKs","linkTemplate":"/video/preview/7319916807757433861?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Solve the differential equation ydx - xdy = 0.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=amTKrRLcCKs\",\"src\":\"serp\",\"rvb\":\"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-9f8BAPP8CAf3Bf4BFPUHBvcAAAD49AHyAwP_AOIBCgD6_wAA9hEH8wAAAAAB9gEE9f0BABH7_vgDAAAA_vT8C_4AAAAO_-0B_wEAAPz4Av8C_wAAGvzw-f8AAAD1CAgD__8AAPwbAwUAAAAADPUABgAAAAAgAC1Lo9I7OBNACUhOUAIqhAIQABrwAX8RE_6lBc399PPmAMQM-v-PFg3__DXRANH75gHY79YA-usNAOcWAgACDfkAxB_WAEH1yP8gyQgBUr0JABfu3wHr5RYADfzzAic3KP7-Bef_APgd__PN7f_9xd0AIC7i_hMLBQAO9gH-6ybUAwzzIv8NCC0ECvUk_P_Q6wTs5vUEy9vK-9cn9P0L3w_44PUxBx_I_f4NKwf58jPh_AfqEPb-3hj8Hhzg_Rz6Gwct5AED2Pf-B-rqCPIfK_UB1P4mBxwGIwD19Q3v38wD-CDuBffw-970HucFCQAHBwIAEPUBB_fo8fEM_Pzx-AcH4ib58CAALR1GEDs4E0AJSGFQAirPBxAAGsAHZ0a3viwSbjzwgQI9TBgNvqeatDxUPRe8Df7-vVIOpjyIXYA82Is6Oxv3gTxTQxa9HHh1vmp8ED18ONI8gbIJPu1HKr1pwyE9ehcvvgg8MD0pn9S8FRxOvqxNyDw1lx87eRMuO2Aa7bt99Se9dgk9PY5jWryLUh-8YYJgu28WCj0Yum28-Ua5vVOXnL1lmt-8KeimPT0vgL3_Py494ZcKPnGolL26q2y79XmGPez3ZL3SW5c81jEzvY1S-Dw0P8i8BA_CPSImhz0QSk48RCC9vbRgPb1b1Uc5R3RPvKLQMr1WN4086gd1Pb-ExDux1Qq9eSqGPUUHKb0KkBe9ZRdcvninjDwoBLy73WA4PimmXD3jGz46erZdvWlAOD2PmsS7XD6tPPi7ob1EXVo8qgZmPaHoiz0b1au7My02PSAqTT2lKx47LQ4fvFVWLj0QQhs9OVAWvKekWL169K-6P30aPbzG0zy4QII79ikivVIxiT0wCic8IIsDvTvwGz20TBC8Y9S1PE6iOT3sPVm5JF6eu2L46L1TGGc7LvIdvG8umb3Ny367pRi7PZ1snrxCO4y8i8ucPaQXer1feEq8Ry1POkAWATzWlUe7364RPEyp67293dQ7D0givfbYcTxdGCK6aPbvPLMqHb36NF28Qp--PFwxjT1He5M7bAHnuzBH770_mqC66m7ou0tV_7zrcow6ixCYPRGfxTz-TPK52scqPSFLNb2Atri74gA_vcndjLzDqeY6TsRsvErVEb3seJ-7x2cSPq6g6b2QCbS51ZN5PGsWnjxJJ1g5doR4vaWeBT6jQ6K3dfmAPetn-7xROY24vsXgO6xTFb6mjMk5W7eMvdBkPz3G3hA6PuOHvZCqnrv3Zwg5AvSLvUU1kL07hjE4N1OhvLOvFTn9MjU50HwePt0Xobz1jxM4G5CuPf_q8bu29iY5Dw0LPbWVTbzk4ai42FmAu_ds47rdgME3vufGPQAdpr1qQ4Y5nKglPWEoET3NQ-U4UXdUPfgiErzBZ6A3MC4RvKibWj1jZvq4iCSju_WmHb1IdkQ4THVcPER9MTnoP4q2oFDPvRXvhj3C0gI48tA3PVxCGT15co44ZYOSuyVRmb33Ytk3qdEVPbP_S7zl31G39wEoPnBh3b3xZ7-5TsGQvT--Tr1TTmU3dfX0vFnd6r0NI_E19jzEvUaYAj1kNRA4Mu6sPVwmvr3sakM3yvRwPSLhKz7xy4o4kqgcvUdVMz3mr3y4UgmkvR_4Uz0JQzA4R9uSvT9vDTxlX6o3IAA4E0AJSG1QASpzEAAaYCP6AEcUPPt45xPX4dD8FuPP5cPgvwz_99L_JhLqDwQe38j37f808A7kmAAAAFO8IeTHAAJ_7QUWRPUI7BuluT8BUuUz7LkSKjrZ7PYF8vMSBxkbRQCgKrsTM-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_AACcwgAAVMIAAPjBAAAUwgAAWEIAAJDBAAAUwgAASMIAAIDBAACAQQAAoEIAABBBAABgQQAA0MEAAMBAAACgQQAAAMEAAADBAAAMQgAAsEEgADgTQAlIdVABKo8CEAAagAIAABC9AABQvQAA-D0AAKg9AABwPQAAfD4AAFC9AAAHvwAAdL4AADQ-AACIvQAAcL0AAEA8AAD4PQAAXL4AACS-AAB8PgAAED0AAEA8AADSPgAAfz8AADC9AABwPQAABL4AAHC9AACgvAAAiD0AABQ-AAAwvQAAgj4AAAQ-AABAvAAAuL0AAIY-AAAwvQAABD4AADw-AADIvQAAhr4AAIa-AACKvgAA4DwAAOg9AACAuwAAyD0AACS-AACgPAAAML0AANi9AADYvQAADD4AAHC9AABEPgAATD4AAES-AABQvQAA-j4AAMg9AABwvQAAUD0AADy-AABAPAAATD4AAAS-IAA4E0AJSHxQASqPAhABGoACAAC4vQAAfD4AADC9AAAfvwAAmL0AAFQ-AADOPgAA6D0AADC9AABEPgAA2D0AAGy-AACIvQAAHL4AANg9AAAQvQAA4DwAADk_AAA0vgAAxj4AALi9AACGvgAAUL0AANi9AAAwPQAAFL4AAIi9AABAPAAA6D0AAIi9AAAQvQAAoDwAAIq-AACAOwAAFD4AABS-AABwPQAAgLsAAES-AAAwvQAAgLsAAIi9AABwPQAAML0AAAy-AACOPgAAf78AAJi9AAA0vgAA4LwAAKC8AAA8PgAAHD4AAKA8AADYvQAAUD0AAKC8AABwPQAATD4AAIg9AACoPQAA2L0AADA9AADgPCAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=amTKrRLcCKs","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7319916807757433861"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"4282102251"},"16539911896867912341":{"videoId":"16539911896867912341","docid":"34-10-9-ZA39066DBA2879BD4","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Over 1 million lessons delivered! Full benefits include smart...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/927034/6a52488537d810dc9393a517ca1a7074/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RwfqJgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D960tLR2CpDg","linkTemplate":"/video/preview/16539911896867912341?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find equation of circle with circumference 10*PI and diameters 2x + 3y = -1 and 3x - y = 4.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=960tLR2CpDg\",\"src\":\"serp\",\"rvb\":\"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_E48BggQkAYAEKyqLARABGniB9voC_gEAAPX-AwX-Bf4BGwABCvUCAgDq-PvzAv8BAPMKCwUJAAAA_wYB_wUAAAAH9_YCA_0BAAb-9_UEAAAAAwb5_QUAAAAU_f38_gEAAPT7_vwDAAAAA_MA__8AAADtE_8H_wD_AAAPDfUAAAAAAP_-_wAAAAAgAC2tPtE7OBNACUhOUAIqhAIQABrwAX8E6v-7HeL_IPX-AcYW4P-KGO8AF0f5AMoCDgC798kA4_bzAOj-AADTCBcA2iXfACPs2v8Px_b_Ocrm_wvbCwDt5xQAE90EAkwVEAHxBNv_-hhFAuHO-gD4tPoBBwzu_v8KGv3y_OP62fTWAPvtLQH7GSX_-fEWBAvgCQbd4_8D_t7D__H1_v4K4Q746QckASHcCgL6KQn720HwABbk__4B0A3-DRLSADEWEgUGFgv95hIE-gb27_sFIvcF2vgT_gEMLvvl8vv05eQJ-CbN__0X9Pv6AMEHESTv8gAC9f375_oC9wQg9_7s-xL60xMD9iAALa6jGTs4E0AJSGFQAipzEAAaYCX9ACEBJ98B7CXe5NH7L-S7E94Zwuz_CM__FgjdBuoJuLEZ_P8y1QbroAAAAE3z8vcrAOB_19AdOAbu77ak0y09Y_ch98bhJBPbwxsj-OlEAgYiVAD666kiLuLIJjAdCSAALY1nHTs4E0AJSG9QAiqvBhAMGqAGAABwQgAAoEEAAIZCAAAYwgAA2MEAACBCAAA4QgAAEMEAAEDCAAAAQAAAEEIAACDCAAAgwgAAAMEAAMBBAABwQQAAsEIAAJTCAACwQgAALMIAACjCAAAowgAAvsIAABRCAABMwgAAVMIAALDBAADgwQAAEEEAAGBBAAAQwgAAmEEAAIrCAADQQQAAysIAAKDBAADAQQAAmEIAAEDBAAAkQgAAEEIAAOjBAACAPwAAEMIAAEBBAABQwgAAgD8AAGRCAABoQgAAkEEAACDBAADowQAAyMEAAEhCAAAkQgAAREIAALrCAAAAAAAAgEAAAMhBAADgQAAA2MEAAMDBAAD4wQAAgEEAAJTCAABwwQAA4MEAAFzCAAAUwgAAUEIAAJRCAABcwgAAkEEAAIA_AADAQQAAQMIAACDCAACgQAAA4EEAACDBAACeQgAAiEEAAPBBAAAAQgAAHEIAAIDBAAAowgAAnEIAAODAAADQQQAAhkIAAFjCAAAAwQAAQMAAAIbCAAAIwgAA2MEAAJBBAAAkQgAAGMIAADBBAADAQQAAUMEAAJLCAABIQgAAHMIAAIhBAAAowgAAiEEAALBBAABQQQAAgEAAALjBAADAwQAAhkIAAATCAAAAwQAABMIAANDBAACiwgAASMIAAHDBAADwwQAAEMEAAOBBAAAwwQAAiMEAAMDAAADwQQAAuMEAAODCAAAAwAAAPEIAAJjBAACYQgAAoEAAAJJCAACIQQAA8MEAAIA_AAAgwQAAiEEAAKTCAABwQQAAaEIAAIDAAACwQQAADMIAAGBBAACwwQAAJEIAADRCAACQQQAAcEEAAGDBAABIwgAA6MEAACDCAAAUwgAABMIAAARCAAAQQQAAiEEAAOhBAABAQAAALMIAAIpCAAB0QgAAqMEAAJDBAABAwAAAmMEAADTCAAAMwgAAAEAAAIBAAACAQAAA8EEAAMBAAADUwgAAfMIAAIA_AAAAwAAALEIAALDBAACYwgAAqMEAALDBAADgwAAAKEIAAGDBAAAAQgAAgL8AAGBBAADwQQAAoMAAAABBAADQQQAAoEAgADgTQAlIdVABKo8CEAAagAIAAJg9AACIPQAAED0AAFA9AAAMPgAAlj4AABC9AAA5vwAAgr4AAFC9AAAsvgAAPL4AANi9AABkPgAAZL4AAIi9AABMPgAAoLwAAKC8AAAFPwAAfz8AABw-AACIPQAAgLsAAEA8AACovQAA6D0AACS-AACIvQAAQDwAAGw-AADCvgAA2L0AADy-AABUPgAAQDwAAEA8AACKvgAA-r4AAO6-AACyvgAA4DwAAMI-AABQvQAAMD0AAKi9AACaPgAADL4AADA9AACyvgAAgr4AABS-AAD4vQAAfD4AAHy-AADIvQAALz8AAOA8AACAOwAA6D0AAIC7AACSPgAALD4AAOi9IAA4E0AJSHxQASqPAhABGoACAABEvgAADD4AAEC8AAAdvwAAgLsAADA9AAAwPQAA4LwAADC9AACWPgAA2D0AANi9AADIvQAAgr4AAKg9AACAuwAAgLsAADU_AABQvQAAqj4AADC9AACYvQAA-L0AAEC8AACgPAAAcD0AABA9AADIPQAAHL4AAKA8AABwPQAAcD0AAJi9AABEPgAALD4AAPi9AACAOwAAHD4AAK6-AACAuwAAQLwAAEA8AACAOwAAiL0AAOi9AACIvQAAf78AAIg9AAC4vQAAXL4AALi9AACYvQAA2D0AAFA9AABQPQAAMD0AAOA8AAAcPgAA4LwAAFA9AACovQAA6L0AABA9AAAkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=960tLR2CpDg","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16539911896867912341"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3222806481"},"9750252184413258496":{"videoId":"9750252184413258496","docid":"34-2-4-Z6917174D70B052B6","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/760062/9670ee01b41fa58665a48f0f8de631bc/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/uWa7VQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIZN_Yf7gX0M","linkTemplate":"/video/preview/9750252184413258496?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find all quadratic equations with real coefficients one of whose roots is (2+i)(3-i).","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=IZN_Yf7gX0M\",\"src\":\"serp\",\"rvb\":\"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-wT7AAH_APAIBgv3Bf4B_hcGAPf__wDn-QMPBP4BAPYBFAEBAAAA_w4ACfoAAAD47PT9-f4AAAju_PzwAP8ADAn5-QAAAAAV_gMG_gEAAPbm_vsCAAAAAAT6_v8AAAD3Cwf6-_8AAPQNBgYAAAAADQf9__vz_gAgAC3t3847OBNACUhOUAIqhAIQABrwAX_79AHD-PL--RriANck5AGOCSj__TDVAM_3_wDXDb8B9v35AO_w5gDfBwr_zRT0ACP17_8DyxT_OMvn_xjhAAH83wkAAuQDADgSKv8LC_P_ASAp_gjc_P_9yuAABCHc_hLuBgHy_OT63gvXAQv0H__m-ioECfYh_fLJB__L-fkH_t_F_wf85v8C2P_6-SAZBDHP_gARFvv96B7qAu_qG_0Q4iP9DRLTACgGGAAMBwH5x_sDAd8M9QsJGRAE4vkGChD4GwnX-wn398EK_Tjm7_7s-f3-IL77CRMM-AAE6ff68OLu9_7vAf3d-AD-4gj17SAALWPLHTs4E0AJSGFQAirPBxAAGsAHOSv6vhkDDLw277S60rqnvbhAIj1VZYS8Xh4hvZxT5jsq4rQ8K1H2PHO-2Dw6dHq8dHzEvhyE7zyZ2i29_b10PpJUS70Dsew8GYGivUC1uz3hpF-9TMQ7voKcRbtWMte67SjzvPZdkbsMeeO7f6GHPUO4F7vUfHq9MTWTvehxs7zrD548-Ua5vVOXnL1lmt-8HnD9PXeAq7vR7xi7IOsJPsVt2byqmTW8xMF0PfwcvLoOsYu7cv4BvfQSiDz2Ali8CXmTPQ3WyTz8jmE83FV-vP3XPr3KILG6qncAvC7lmTtr6DA8jX-fO6GOfT3_CS68eSqGPUUHKb0KkBe92T_vvZz59T0DNm-73bQZPj0W0TwDYPq7IpStvHRLoT3OwbM8EsnGPCpPhbxCQ3-84N4wPd_wzDwQWD06PD0lPCM9e7zqo766EBZ_PY0Z1zxOdwM9z6StPWBkODzm4pS8seuLO3B6VbuyCsC8VY-6vb45NzwXmSW8BKJxPdwjBb1BKw08gcRAvQEnlT3OPb073fFhvSffJ72oDoO8LvIdvG8umb3Ny3676L7MPQAwYz2u5gw75Gm5PV10jbxHASA8CtvPvCpwFbxPfNK7QdgJPUJYor3kPyK63oV3vSAnzD0oCBc3_GVBvIXs2buHQjq8aagRvRiu8zx8HSE8anqaPOQJTr2CxPo73_nlPU2UjLt5K-A6SYoDvU4tNjzmUTc7LGcqPYqrT72cnVI7aRgfvBQiIL06JqQ6I5olvdChp7ymi2I77q8OPp8Skb1-0JQ5YxvCPXrQgTs4aiu5CH8VvVtErz2Ygfg4_d4DvEkYoTxvjha6u-elPL-YEr3iYwI6RHUJvWWs0bxdhCO5m6kVvZDXIz39ljy6HLeYvDQYvjwcwZ26judxuxBuVz0gcty5HTXLPVCWUD1brGE4TYbjPEQ8yLzlHSq5tUsAvW5RRr27SlI4GrdivYUDhj1hd7A4QfEDPXFPwb3XOHs5lUFavBJpmzwhNbA4B2onPR9CBj2ecSa46NgBPRITVD2qnIK2rWiYvG6kbL0_UzA4_NKRPMOOcD1y2Dg4ZVPOvcLoqDz-Mug3DWYNOp2QjLw9M7a4_lxZPXMWgb0CMAY4PVusvJEhDL16rEA49wEoPnBh3b3xZ7-5xImau_vtRjxcfVq3iwg1vJYByrvQHEA3rSRDvQxzRz0ewRY3va8FPaVJCb6tnoW4yvRwPSLhKz7xy4o4SK0LPQN3JT2G9ni4VdfGvbuZUbz5mlu3vkM7vSPGobzeZyU4IAA4E0AJSG1QASpzEAAaYDP_AEwHIc4txCfV_Nz2Tc0RE_gG3-L_8v__BS3m2gYPp7D99_8zwQfqnwAAACzW7iP6AOl_4sr7WhLi-bq4wBEacfQWFZ7-EfrY5hAE-hYpKPw7WQCx8KwO7CG5YRQZCSAALWLuEzs4E0AJSG9QAiqvBhAMGqAGAAA0QgAAFEIAAJpCAABgwQAAgMAAAGhCAAAwQgAAoMAAAGjCAABAwQAAsEEAAODBAABgwQAAsMEAAABCAACAwAAAmEIAAJjCAABEQgAAKMIAACjCAAAswgAAxMIAANBBAAAIwgAAVMIAAGzCAAAIwgAABEIAANhBAACIwQAA4MAAAHDCAAAAQgAA0sIAAKjBAAAAQgAAXEIAAEDBAADgQQAA4EEAAOjBAACAPwAAPMIAALhBAADIwQAAcEEAAABCAAA0QgAAQEAAAAjCAAC4wQAA0MEAANBBAAAcQgAATEIAALLCAABAwQAAwEEAAFBBAACAwAAAJMIAAHDBAABMwgAAiEEAAI7CAABgwQAAAMAAAI7CAAA4wgAAMEIAAJxCAACGwgAAEEEAALDBAAAAwAAAvsIAALDBAADYQQAADEIAAMDBAACsQgAAwEEAAIA_AAAwQQAAuEEAALDBAAAswgAAlkIAAHBBAADgQQAAVEIAACDBAACwwQAAgMAAALDBAACowQAAUMIAAGDBAADQQQAAAMIAANhBAADYQQAAoMAAACDCAAAYQgAATMIAANBBAABAwgAAcMEAALBBAACAvwAAgD8AAPjBAAA4wgAAnkIAAMDBAABkwgAAEMEAAODBAACawgAAHMIAAIDAAAAYwgAAAMAAAIC_AACYQQAAAMAAAOBAAACoQQAAuMEAANzCAACAPwAAIEIAAGBBAAAAQgAAIEEAABBCAAAYQgAAgMEAAHBBAACAQQAAmEEAALLCAAAMQgAAikIAAIC_AACAQQAAgEAAAHDBAACYwQAAoEAAAChCAACQQQAA0EEAABDBAACIwgAAgMEAAJDBAABUwgAAuMEAACBCAABAwAAAiEEAAGRCAACYwQAAoMEAAHhCAAD4QQAAHMIAAOjBAADgQAAAmEEAAAjCAAA8wgAAQEEAACBBAACgwAAAFEIAAHBBAADywgAAqsIAAIA_AACgwAAAYEIAACDBAACKwgAAAMAAALjBAACQQQAANEIAALjBAABgQgAAiEEAAGDBAABwQgAAgMEAADBBAADYQQAAcEEgADgTQAlIdVABKo8CEAAagAIAABA9AADYPQAA4LwAAFA9AABsPgAArj4AAIi9AAB_vwAARL4AAEw-AACgvAAAGb8AAIA7AACqPgAAqL0AAPg9AAC2PgAAgDsAANg9AAAXPwAAbz8AAPg9AAC4PQAAFL4AABy-AACYvQAADD4AAJ6-AACIvQAAoDwAALI-AAC-vgAAUD0AAAy-AAAEvgAA4DwAAFA9AABwPQAA0r4AAAW_AACyvgAAlj4AANI-AACYvQAAcL0AAIC7AACSPgAAxr4AAGQ-AADOvgAATL4AAJq-AABEPgAAtj4AAGy-AABQvQAAdT8AAPi9AACAuwAAHD4AAJa-AACuPgAARD4AABS-IAA4E0AJSHxQASqPAhABGoACAADmvgAAZD4AAKg9AAAlvwAAXL4AAPg9AADePgAA-D0AAMg9AAAcvgAADD4AAKq-AABMvgAAjr4AAAQ-AAAEPgAARD4AAEE_AACgPAAAij4AAKA8AADYvQAA4LwAACy-AAAsvgAAED0AAJi9AADIPQAAgLsAAGS-AAAUPgAAqD0AAL6-AAAwPQAACz8AAOC8AACSPgAA-D0AAAu_AADovQAAoDwAABQ-AADIPQAAgDsAADS-AACiPgAAf78AADy-AAAsvgAAPL4AAAQ-AAA8PgAA-D0AABw-AADaPgAAiD0AAIA7AAA0PgAA6D0AAOC8AACYPQAARL4AAJg9AAAMPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=IZN_Yf7gX0M","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9750252184413258496"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1891984980"},"3494792973351002301":{"videoId":"3494792973351002301","docid":"34-10-9-ZE1935EC184486B7C","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3513895/eec8c1d0f5e833c1da7972184e1c2901/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/exKAVwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DxW36Umesvug","linkTemplate":"/video/preview/3494792973351002301?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Prove the following relationship amongst the binomial coefficients in the expansion of (1+x)^20.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=xW36Umesvug\",\"src\":\"serp\",\"rvb\":\"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-Aj_AgD_7gIJ-wj9Avr99vL5_fwA5_kDDgT_AQD3ARMBAQAAABcABwoBAAAACwUCD__9AQAN9wPwAwAAAA0IBwP8AAAAExEGCf4BAAAB9f7tAQAAAAgPAgsAAAAA_A0H_wIAAAABCg3_AAAAAAYGAwn_AAAAIAAttZPWOzgTQAlITlACKoQCEAAa8AF_Fhf80_ThAdBDIQD2w6wBBREU_wtA7QCSnxMBqusGALz3-QHy7QgBkS74_7UB6f_79rv-2-7TAS_uBf8p3ugAER8HAATRGwN5CCcA7Bjc_vghXgPvvuj_-AHo_ATs4wEO-CoCQuHGAP7cuQDoOkoC_AwYAvbsHgXsswr_t6TuAfPH6wIyBP0FFQoQ-9rJMwT06tj78An-_u5m3gk9ufwB0McG-PhO3PhI_AIFQwj-C7Xe_Qfr0vwG4i4m_b83BfUkCC0A8wf75en3BxBO2-j9G9jr-CPx8BAR0PYI_y8mDQ737AXiNA3q4wL7_A0E6PYgAC09IeA6OBNACUhhUAIqzwcQABrAB-0MA79nUII7I9aHPKhUybyY4BQ9J9xrvfiDRr1WwYO87cT6u80-zz1KZ6u9V2erPI21D76nQ4I85ZeDO8VVhT5UMG-9m38qvHoXL74IPDA9KZ_UvFnoWb2ydHQ9IrbFvIwilb32ukC9FpcUvfrV3D03fnI8q6AWPHOvXTzzLII9JcHlvKSYk7pqNLm6kXfzvHEeTjz84Lw88m52vC9jhD27ygS97dScPN-S0jzEjQA9dEhFu2luBb4j1BE9B8hhvIORrT2w8Y89DHAmPXovk72Gdp69P7PaPHW9jr3OT1E9hZCYPBUWwTz2_Bu7GEq7O-enGD2Ad7y8lX-tvKjIIb4CfBw96OltPCzlRj2GTa48Y1CeOxSbCr1dNU89-CVRPBLJxjwqT4W8QkN_vNKRmjt83qK7MG7dOzzG8LyFAc-6R8AyvG62I735WHA9CRLAPIbiTj2Q_nK9RqBVvFAIMz0Jvxq8JFBUu03DSzwWNt68t9Reu6-m_DwgxN-6mBZ1PDt_JLzPOtu6_ECLO6PHhD2DxxS8G4NKO1d7OL0vh_29KqBmOonT6T1on609XwyAOPYFqT3BvNG8b3zxuxjsxjw7M7a9oOEsO3jUiL2rufe8My7BOr2KjLwUkDs9UjcjvG3FQ73j9ZU9N0yNuXfci7wJwES9ymOTu_B4mb1rdi69RB77O_UrXT1zET89sJXpulFtSz1h1Qu7toZvO8ysLz3FvbO9uqHGOi_wtr2CR4q9YChHuKfZcrywwxo8JUwDu5hNQD7r4jY8mxp2uTJ1V73lUos9KrctOREmG70BGIo9WDWRubX0jTxwmOi8a6DiN60vtzr9EvG9vCOJOTidKT35dlw8hEQxuBIV6r0duLk8ASecOQI0I7xNq3e9IbNeOVNTNz0Tp4m8ao4luJ5Qnj3Y6Sw9mfx1uAF0br354oa944mDOGfvzL2aEZS8HsSMOR3ALD0hiL28F7AEOSI8pT3lwoe9O4xSOQRrgTytDHS8sYoDOBeFeD0nvOQ96I4yt-g_NT1kHwQ-Z7EbOMzICr2zTza9to_VOChYLT2rD4o9VhSauACLIb1Y5u09nS7cOJwerzwppfG8TE_qt3L_nD13O7E8qBfANULMijyK6ki94enDtZlybz3nozG9gAAeuG4eYr2xK7K9E7-_uMwvnrzKEsK82SFxN_C7Dr3HFj09v9KzNrMxBrsIr729HH2mt8r0cD0i4Ss-8cuKOO3EmzxFScg97lIKuVXXxr27mVG8-Zpbt3Jr8r3U1V09EUKFtyAAOBNACUhtUAEqcxAAGmBSCgAhBxXdF-pN4PStAgPRBjDU5ND9_z32__Eh-fwv7rWyH_v_LdQ7xJwAAAAjFf0MDAABf-fpDFQR6jjOtNs2UW35I03f-xnwtwtN7CMY5E4J42QA4RLRAA_l3R_-Uy4gAC3-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_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_AACwwQAAeEIAALBBIAA4E0AJSHVQASqPAhAAGoACAAAkvgAARL4AANg9AADgPAAA-L0AAKg9AAC4vQAAE78AAAy-AABAvAAAUL0AAKC8AACYPQAALD4AACy-AADgvAAARD4AAHA9AAAQPQAA2j4AAH8_AAB0PgAAUL0AAJg9AACAuwAAUL0AAIg9AAB8vgAAqL0AADQ-AACoPQAAcL0AAHC9AABMvgAAoLwAAFw-AABwPQAAFL4AAI6-AACavgAAyr4AADC9AACqPgAAgLsAAIi9AABcvgAAFD4AAIC7AACgvAAAjr4AAFA9AACgvAAAij4AALY-AACCvgAA2L0AAFM_AAD4PQAABD4AAOi9AACgPAAAgDsAAPg9AABMviAAOBNACUh8UAEqjwIQARqAAgAA-L0AAFQ-AAAMvgAADb8AAMK-AAA0vgAAHD4AAPg9AACoPQAAPD4AAKi9AABUvgAAED0AAFy-AABwvQAAiL0AAEA8AAARPwAAoLwAANY-AAAwvQAATL4AAKi9AABsvgAAmD0AADA9AABAPAAAED0AANg9AADgvAAAML0AAHA9AAAcvgAAuL0AAJg9AACovQAAhj4AALo-AAA0vgAAgLsAAEQ-AADgvAAA4LwAAOC8AAAQPQAAED0AAH-_AAAQvQAAxr4AAMg9AABEPgAAED0AABQ-AABQPQAAED0AAEA8AACYvQAAiD0AABS-AADgvAAAiD0AADA9AACgPAAAyL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=xW36Umesvug","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3494792973351002301"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"840918326"},"10108474074474086886":{"videoId":"10108474074474086886","docid":"34-0-6-ZB768AA6BE697F7D8","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3385322/fb9e3e040a1e8736b29ba12c5e47e034/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Hc0RVgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWsDmh2WS1zU","linkTemplate":"/video/preview/10108474074474086886?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Prove that both roots of (x-b)(x-c) + (x-c)(x-a) + (x-a)(x-b) = 0 are real.","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WsDmh2WS1zU\",\"src\":\"serp\",\"rvb\":\"EqwDChQxMzQ2NTQ2MTg0OTY0MTU5ODE2MwoTNTQ5NzUzNDc1MTYzMTcxODQxMwoTMzY1NjM1NTczNDk5MTE3NDc2MQoTMjQ0NjU5MDMyMDUxMjY0MzE5MgoTMzkwNDU1ODk2Nzk4NDUzOTQzNQoSNDQ2ODE3MDE2Mjg1NjkzNDQ3ChM0MDg0MDAxOTg1MzAxNDM2Njg3ChM0MTE1MDk0OTEwNDEyNjQwMTYyChQxNzg3ODg3MTQ4NjcwMDQ0MDAxMAoUMTEzMDcyODMzNTQ5MjM3NzEyMzYKEzI4ODQxODY2Mjg2OTM2MTYwNzkKFDExODcxOTU1NTM0ODA3MzQxMjU2ChM3MzE5OTE2ODA3NzU3NDMzODYxChQxNjUzOTkxMTg5Njg2NzkxMjM0MQoTOTc1MDI1MjE4NDQxMzI1ODQ5NgoTMzQ5NDc5Mjk3MzM1MTAwMjMwMQoUMTAxMDg0NzQwNzQ0NzQwODY4ODYKFDE0MTgyNDU2OTE4NzIzNDU1NjA2ChQxMzA5ODE0NDY0MDE2MDI3ODkwNAoUMTAyNjI0NDI0OTc3NzEwMzQ0NTAaFgoUMTAxMDg0NzQwNzQ0NzQwODY4ODZaFDEwMTA4NDc0MDc0NDc0MDg2ODg2aogXEgEwGAAiRRoxAAoqaGhycG9hd2h6bGF1d2ZiYmhoVUNoTHVQRjRscmF5QTRlbGI3RWplekRREgIAEioQwg8PGg8_E6wBggQkAYAEKyqLARABGniB9wT6_voGAP0CBQL6Bf4B8P8B-_v__wDu_QEECAAAAPv9AP__AAAA8gUBAQgAAAD_-v7x__4BAPz5Cv8DAAAA_wMEBf0AAAAJBvcI_gEAAPX7_vwDAAAAAAj37_8AAAAABwL3AwAAAP8GBf0AAAAADAb9__z0_wAgAC1aVOQ7OBNACUhOUAIqhAIQABrwAX_z5_6_9_H-GurtAMT87AGQFQ3_EzECAN78Fv-39sYAFf_xAN3yBAHB-gwB2CfeADfx5f4QxPb_M9_X_xreAAHc9B8BJtPzASY2J_73Gc_9AiMs_v7LEgD9xt4AGxvdAO8VGP_x_OH62AHqABnlLQPoDzQB-PAXBP7eCvrT5w8CDM_W_vv2BwfN0e_6_hEfAwvP_f4WEwj6-SnKAu7oHf0P1gz8CC7U_SsHGgD7CwL9AAEG_AgB_voTJ-UF1P4mBwEMMPvX9PoA--oFBSrn9wAA6AT6D-wCEioT9w0d6vkN7d0A9iAJ-QTr-xP6uAT89CAALXRxEjs4E0AJSGFQAirPBxAAGsAHuqP3vjGDpzwifF480rqnvbhAIj1VZYS8zKWXvXGq9Tw9PJU8irUzveVNNLzdEq-80nKQvv2ufj1cEQ26y4AzPubRiL2YYjM8dXT8vS8Tmj0LAhC9FRxOvqxNyDw1lx87E8GuPA1BBL2Cctu8MFGDPUH8sjzbARK9cC1uO6Mrh7yzVpm8iQtwvrXEirxirRC91-rBPTfwlL0J6R88DPKJPVMOPL1doTQ912gZPZwfNb0MkfQ7ayJYPI6ZPz3flh-8HejBPYb8frnqSY886_uFvT5oTL2HOxE8NSbkvSidKL2UqsS7lXT_upTZRbscjyO98G5gPVtVO71W2Ge8-aAHvvQamz0vgYA75Ib_PTl29TyMb548_Ouuu-4eZT2IA7I8UocPPFATorygbIq8CXxvPSZjBr1JWVC88QHnuWlKvDzayge8EBZ_PY0Z1zxOdwM9UIQau432g71FwpK8oJuHPQj4fzxrvoi7fJ10vTbCDD2ifdc5StxZPfoRmrzrE8o8bV0lPUiVNz2BfGQ8V6-HvMeV37zgkBk8U4IVPOimqL3bXAq8imSePSAuFD14Zry6tCAEPhgIAr3YIDe6HxaVvSlZjjzzNOS6muMBPffnIr3LZLg7DNZNu3HigD3UW-q7_izWvGFcoLzzvju8eIkgPTwc-DybyIo7vH1RPRhBM76xnJG5m36_PRR3_Dz0iCs66jKlu4VmrjqfOMY7O8S_vM8EOb1noP85ULVMvA4e3LwhyCS7Ez0aveomDDsmW_85NJe1Pbqp3LzmWHi4LTitPZSkCz0NCoo5S5kvPHhciT3-F1W4en33PCoetLqWGKe32AKMPINozb0uJMK4nhJrvfJjJzyNH0A526CbPAKj6LtdQCw6PkKdveiqVL2Wh065FbTBu7TnMrx4v7a4XAy0PVVtkjxVNBo4ox4nvUYcvLyEj6m3goaIPG1zIbxHlNW6USacO062Jzo_Kjo3w4AlPOeOjr3DZnI5eSU3uFRkHj2eqJI46FGMvFpAcj0J5bw3_j-TPZvOaT1ltnQ33ln7PNjxn70YDZc4b3mTu3MwNj20xZC3IvsAvsZfJD0XmGU4vNYYPDGzjzy6RbU4llJhPHoQDLyWDMY4AgHhPEQzD705Bp-4H58APqTkkL0V6Dq57AncvOEpX73EpWO4cjQJO3COtL040o22m0tbvZI8pz1tcIE4P47GPSveCL6HIrS4yvRwPSLhKz7xy4o4gXgAvDh2uzo-sBK5I2jMvQ0B-jtvBgY3KDWqvDPcIL0Vkkw2IAA4E0AJSG1QASpzEAAaYAsIADrPJsMF6gzVGtj8O9TtFNv9997_FRj_Sibs8PUGz7s0Ov8syd3kngAAACjbCyUJAAp_9vvUafb2BdyUyCMUZOYK-6gCEfbyKi3QDPwdM5o1UADXG6lEMegUJR0RJSAALReIFjs4E0AJSG9QAiqvBhAMGqAGAADgQQAAQEEAACRCAACAwgAAGMIAAMBBAACYQQAAgEAAAODBAACAvwAAAEIAACDCAABAwgAAgD8AAADAAACwQQAArEIAAHzCAADKQgAANMIAADTCAAAAwgAAysIAAAhCAABAwgAAeMIAACBBAADAwQAAgEEAAABBAADAwQAAEEEAAEzCAAAIQgAAqsIAAKjBAABAQQAAnEIAANDBAACGQgAA4EEAAPjBAADgQAAAGMIAAOhBAABcwgAAEEEAAHhCAABQQgAAwEAAAOBAAABAwgAAJMIAAIRCAAAoQgAAZEIAAMzCAABQwQAAQMAAABBBAACgQAAAsMEAAMjBAAAAwgAAgMEAAIrCAACIwQAA-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-wgAAZMIAAFDBAACgQAAAEEIAAIDAAAC4wgAAkMEAAODAAAAowgAAHEIAAEBAAACgwAAAIMEAAOBAAAC4QQAAoMEAAEDAAADQQQAAIMEgADgTQAlIdVABKo8CEAAagAIAAEC8AADgPAAALD4AAKg9AADCvgAApj4AAJi9AAAfvwAAcD0AACS-AABAPAAA2r4AABy-AADiPgAAVL4AABC9AABMPgAAqL0AAEQ-AAD6PgAAdz8AAIA7AABAPAAAoDwAAMK-AAC4vQAAyD0AAIa-AADovQAAcD0AAPg9AADYvQAAML0AAIA7AABEPgAA2L0AAGQ-AABkvgAAor4AAIi9AABMvgAANL4AAIY-AABQvQAAuD0AABQ-AAAsPgAA2L0AAEC8AADmvgAAiL0AAIg9AABMPgAAVD4AAFC9AADgvAAAfz8AABy-AABMPgAAoDwAAJq-AAAQPQAA4LwAAKC8IAA4E0AJSHxQASqPAhABGoACAAA8vgAA4DwAAES-AAAbvwAAyL0AAEw-AACaPgAAVD4AAFC9AACaPgAAqD0AAKi9AAA8vgAAmr4AAMi9AACYPQAAuL0AADs_AADovQAAgj4AAKC8AACgvAAAUL0AABA9AACovQAAnj4AAKC8AADoPQAANL4AAPi9AADIPQAAgDsAAES-AABwvQAAiD0AAEy-AABsPgAAmD0AANa-AACIvQAA2D0AALg9AAAEPgAAqL0AAAQ-AADIvQAAf78AAOi9AACgvAAAFL4AAOA8AADYPQAAXD4AAFC9AADWPgAAQLwAAKC8AAC4PQAAcL0AAIg9AAD4PQAAiD0AAHC9AABAPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=WsDmh2WS1zU","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10108474074474086886"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"762837201"},"14182456918723455606":{"videoId":"14182456918723455606","docid":"34-0-6-Z657E2527FC54BA55","description":"Visit https://www.mathmuni.com/ for thousands of IIT JEE and Class XII videos, and additional problems for practice. All free. Full benefits include smart analytics, customized tests, historical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2210890/a293172746b9206e629620ec740d9927/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/UlkqBAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DCTA33_crOgM","linkTemplate":"/video/preview/14182456918723455606?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Find all quadratic equations with real coefficients one of whose roots is (5+i)/(2-i).","related_orig_text":"mathmuni","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"mathmuni\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=CTA33_crOgM\",\"src\":\"serp\",\"rvb\":\"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_E6cBggQkAYAEKyqLARABGniB9Pz2_gH_APAIBgr3Bf4BBREJCff__wDl-fsL-P0BAPkLC_n_AQAA_w4ACfoAAAD47PT9-f4AAAsBAP_rAP8AAAX9-P4AAAAPAPsG_gEAAPbm_vsCAAAABgv8Af8AAAD3Cwf6-_8AAPQNBgYAAAAADQf9__vz_gAgAC2FQdE7OBNACUhOUAIqhAIQABrwAX_0_wDd9-gB5QvrAPQE5gGoHAoA_DXRAMr2_gDUDrkB4QjzAPr66gDtEQ8AzC_-_xbz4_4Exxb_Pcfl_xfu3wHz6AIA_Nv3AUUDF__uAvL_5RcG_vPN7f_9xt4ABCTZ_gD78v_5Acf_6yXVAwzzIv8F-BwC-PAXBO7XAAHIufIB_OXd_Q8V_f391BgA6xY7AR3KIQABFgL6uhDkAQfqEPYI7xj2CC_U_fsM9woMBwL5wAnsAN3q3AQiERPz2-wE-wEMMPvPIA729rwL_Tzk7f7iAPcFI7j7Ch76Af7mAvUK_eH45OMK-PTlHAT30RQD9SAALaQ3ETs4E0AJSGFQAipzEAAaYDEEAD0IGdwjzBbdAN37Q9__Ff776OH_Bf7_-C_s2wIbqbX98f8uuwLopwAAACva7zPtAOd17tnsV_zm8r-tugsTf_QHDrj9GvbQ8xEDAyAXKfA0SwC3Bbsc1hvCWRkVECAALaVuHjs4E0AJSG9QAiqvBhAMGqAGAAB8QgAAAAAAALpCAABEwgAAAMEAAKhBAAAMQgAAwEEAAKjBAAAgwQAAgD8AAJhBAADIwQAAoMAAAAAAAACgQQAAKEIAAJLCAAAMQgAAQEAAAJDBAABQwQAAzMIAABRCAACAwgAAUMIAAIDAAAAYwgAA4EAAADRCAAA0wgAAIEEAAJ7CAABAwQAAzMIAAEBAAACYQQAAcEIAAIA_AADYQQAAQEEAADDBAADYwQAA6MEAAERCAAAkwgAAUMEAANBBAACAQAAAoEEAAHjCAABgwQAAuMEAAChCAADwQQAAlEIAAIbCAADgwAAA-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_vwAAdL4AALI-AADgvAAAIb8AAPg9AAC6PgAAZL4AAPg9AABQPQAA4DwAAEw-AAArPwAAfT8AAFQ-AABAvAAAML0AAOC8AACYPQAAkj4AAHS-AACYPQAAFD4AAHw-AACWvgAAqL0AAFS-AADgPAAAoLwAADQ-AABAPAAAsr4AAO6-AADGvgAA-D0AAA0_AABQvQAA-L0AAIg9AAAsPgAAmr4AAGw-AACyvgAAoLwAAHS-AAAMPgAA4j4AALi9AAAwvQAAaT8AAEy-AADIPQAAVD4AAHy-AACaPgAAZD4AABy-IAA4E0AJSHxQASqPAhABGoACAAD6vgAAFD4AABw-AAAhvwAAUL0AAEA8AAC2PgAAoDwAABA9AACIvQAAgDsAAGS-AAAUvgAAZL4AAKg9AAC4PQAAmD0AAFM_AABQPQAAgj4AABS-AAA0vgAABL4AAOi9AACovQAABL4AADC9AACAOwAADD4AADy-AAAQPQAADD4AAJq-AAAwPQAA9j4AAMi9AACyPgAAML0AAO6-AAAMvgAAFL4AALg9AABQvQAA4LwAABy-AAAcPgAAf78AAEy-AAAMvgAAVL4AAFQ-AACYPQAA-D0AAFA9AABsPgAAED0AADA9AADIPQAAFD4AAOg9AAD4PQAAbL4AABC9AADgPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=CTA33_crOgM","parent-reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14182456918723455606"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2281211946"}},"dups":{"13465461849641598163":{"videoId":"13465461849641598163","title":"Introduction to \u0007[Mathmuni\u0007] (www.\u0007[mathmuni\u0007].com)","cleanTitle":"Introduction to Mathmuni (www.mathmuni.com)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NC_-VwyG3Fc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NC_-VwyG3Fc?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"https://www.youtube.com/channel/UChLuPF4lrayA4elb7EjezDQ","a11yText":"mathmuni. "},"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."},"views":{"text":"1,3bin","a11yText":"1,3 bin izleme"},"date":"3 eyl 2018","modifyTime":1535932800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NC_-VwyG3Fc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NC_-VwyG3Fc","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":98},"parentClipId":"13465461849641598163","href":"/preview/13465461849641598163?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/13465461849641598163?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"5497534751631718413":{"videoId":"5497534751631718413","title":"Show that lines 2x-3y+5=0, 3x+4y-7=0 and 9x-5y+8=0 meet at a point.","cleanTitle":"Show that lines 2x-3y+5=0, 3x+4y-7=0 and 9x-5y+8=0 meet at a point.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=5P0Dc2iOU9E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/5P0Dc2iOU9E?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://gdata.youtube.com/feeds/api/users/mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":93,"text":"1:33","a11yText":"Süre 1 dakika 33 saniye","shortText":"1 dk."},"views":{"text":"5,9bin","a11yText":"5,9 bin izleme"},"date":"1 oca 2013","modifyTime":1356998400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/5P0Dc2iOU9E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=5P0Dc2iOU9E","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":93},"parentClipId":"5497534751631718413","href":"/preview/5497534751631718413?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/5497534751631718413?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3656355734991174761":{"videoId":"3656355734991174761","title":"Find equation of line through intersection of 2x-3y+4=0, 3x+4y=5, and perpendicular to 6x-7y+8=0.","cleanTitle":"Find equation of line through intersection of 2x-3y+4=0, 3x+4y=5, and perpendicular to 6x-7y+8=0.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=x1I8mliKcBQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/x1I8mliKcBQ?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":261,"text":"4:21","a11yText":"Süre 4 dakika 21 saniye","shortText":"4 dk."},"views":{"text":"12,6bin","a11yText":"12,6 bin izleme"},"date":"1 oca 2013","modifyTime":1356998400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/x1I8mliKcBQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=x1I8mliKcBQ","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":261},"parentClipId":"3656355734991174761","href":"/preview/3656355734991174761?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/3656355734991174761?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"2446590320512643192":{"videoId":"2446590320512643192","title":"Continuity and Differentiability Example","cleanTitle":"Continuity and Differentiability Example","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=xzoYzXRApIM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/xzoYzXRApIM?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":204,"text":"3:24","a11yText":"Süre 3 dakika 24 saniye","shortText":"3 dk."},"date":"29 tem 2012","modifyTime":1343520000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/xzoYzXRApIM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=xzoYzXRApIM","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":204},"parentClipId":"2446590320512643192","href":"/preview/2446590320512643192?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/2446590320512643192?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3904558967984539435":{"videoId":"3904558967984539435","title":"Find the area of the greatest rectangle that can be inscribed in an ellipse.","cleanTitle":"Find the area of the greatest rectangle that can be inscribed in an ellipse.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=tsGgbUDhtuE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/tsGgbUDhtuE?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":166,"text":"2:46","a11yText":"Süre 2 dakika 46 saniye","shortText":"2 dk."},"views":{"text":"49bin","a11yText":"49 bin izleme"},"date":"14 eki 2012","modifyTime":1350172800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/tsGgbUDhtuE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=tsGgbUDhtuE","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":166},"parentClipId":"3904558967984539435","href":"/preview/3904558967984539435?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/3904558967984539435?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"446817016285693447":{"videoId":"446817016285693447","title":"Maximum and minimum of a definite integral example","cleanTitle":"Maximum and minimum of a definite integral example","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qRktW_lWlb4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qRktW_lWlb4?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://gdata.youtube.com/feeds/api/users/mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":113,"text":"1:53","a11yText":"Süre 1 dakika 53 saniye","shortText":"1 dk."},"views":{"text":"29,8bin","a11yText":"29,8 bin izleme"},"date":"29 tem 2012","modifyTime":1343520000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qRktW_lWlb4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qRktW_lWlb4","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":113},"parentClipId":"446817016285693447","href":"/preview/446817016285693447?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/446817016285693447?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4084001985301436687":{"videoId":"4084001985301436687","title":"Show that roots of (x-a)(x-c) + 2(x-b)(x-d) are real and distinct.","cleanTitle":"Show that roots of (x-a)(x-c) + 2(x-b)(x-d) are real and distinct.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=eL47PFEpTAU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/eL47PFEpTAU?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":205,"text":"3:25","a11yText":"Süre 3 dakika 25 saniye","shortText":"3 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"18 kas 2012","modifyTime":1353196800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/eL47PFEpTAU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=eL47PFEpTAU","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":205},"parentClipId":"4084001985301436687","href":"/preview/4084001985301436687?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/4084001985301436687?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4115094910412640162":{"videoId":"4115094910412640162","title":"Find equation of line through (x', y') that makes angle A with the given line y=mx+c.","cleanTitle":"Find equation of line through (x', y') that makes angle A with the given line y=mx+c.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ftv46CA1ODI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ftv46CA1ODI?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":374,"text":"6:14","a11yText":"Süre 6 dakika 14 saniye","shortText":"6 dk."},"date":"3 oca 2013","modifyTime":1357171200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ftv46CA1ODI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ftv46CA1ODI","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":374},"parentClipId":"4115094910412640162","href":"/preview/4115094910412640162?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/4115094910412640162?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"17878871486700440010":{"videoId":"17878871486700440010","title":"Find the domain of definition of y = 1 / log[Base 10] (1 - x) + sqrt(x + 2).","cleanTitle":"Find the domain of definition of y = 1 / log[Base 10] (1 - x) + sqrt(x + 2).","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=BX-MWB8jZog","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/BX-MWB8jZog?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/user/mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":80,"text":"1:20","a11yText":"Süre 1 dakika 20 saniye","shortText":"1 dk."},"views":{"text":"5,5bin","a11yText":"5,5 bin izleme"},"date":"14 kas 2012","modifyTime":1352851200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/BX-MWB8jZog?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=BX-MWB8jZog","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":80},"parentClipId":"17878871486700440010","href":"/preview/17878871486700440010?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/17878871486700440010?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"11307283354923771236":{"videoId":"11307283354923771236","title":"Find the conditions that lines y=m1x+c1, y=m2x+c2, y=m3x+c3 meet at a point.","cleanTitle":"Find the conditions that lines y=m1x+c1, y=m2x+c2, y=m3x+c3 meet at a point.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=cbKGNv3aRNE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/cbKGNv3aRNE?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":378,"text":"6:18","a11yText":"Süre 6 dakika 18 saniye","shortText":"6 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"3 oca 2013","modifyTime":1357171200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/cbKGNv3aRNE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=cbKGNv3aRNE","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":378},"parentClipId":"11307283354923771236","href":"/preview/11307283354923771236?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/11307283354923771236?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"2884186628693616079":{"videoId":"2884186628693616079","title":"Find coefficient of x raised to power n in expansion of [2 + x + square(x)] / cube(1+x).","cleanTitle":"Find coefficient of x raised to power n in expansion of [2 + x + square(x)] / cube(1+x).","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vtmG1hhEUi8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vtmG1hhEUi8?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":322,"text":"5:22","a11yText":"Süre 5 dakika 22 saniye","shortText":"5 dk."},"views":{"text":"1,5bin","a11yText":"1,5 bin izleme"},"date":"5 kas 2012","modifyTime":1352073600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vtmG1hhEUi8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vtmG1hhEUi8","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":322},"parentClipId":"2884186628693616079","href":"/preview/2884186628693616079?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/2884186628693616079?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"11871955534807341256":{"videoId":"11871955534807341256","title":"Find equation of line through (4,3) and making intercepts on axes whose sum is -1.","cleanTitle":"Find equation of line through (4,3) and making intercepts on axes whose sum is -1.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=GFgzwvQOzEo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/GFgzwvQOzEo?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":214,"text":"3:34","a11yText":"Süre 3 dakika 34 saniye","shortText":"3 dk."},"date":"26 eki 2012","modifyTime":1351209600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/GFgzwvQOzEo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=GFgzwvQOzEo","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":214},"parentClipId":"11871955534807341256","href":"/preview/11871955534807341256?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/11871955534807341256?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"7319916807757433861":{"videoId":"7319916807757433861","title":"Solve the differential equation ydx - xdy = 0.","cleanTitle":"Solve the differential equation ydx - xdy = 0.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=amTKrRLcCKs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/amTKrRLcCKs?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":46,"text":"00:46","a11yText":"Süre 46 saniye","shortText":""},"views":{"text":"48bin","a11yText":"48 bin izleme"},"date":"3 eki 2012","modifyTime":1349222400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/amTKrRLcCKs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=amTKrRLcCKs","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":46},"parentClipId":"7319916807757433861","href":"/preview/7319916807757433861?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/7319916807757433861?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"16539911896867912341":{"videoId":"16539911896867912341","title":"Find equation of circle with circumference 10*PI and diameters 2x + 3y = -1 and 3x - y = 4.","cleanTitle":"Find equation of circle with circumference 10*PI and diameters 2x + 3y = -1 and 3x - y = 4.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=960tLR2CpDg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/960tLR2CpDg?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":143,"text":"2:23","a11yText":"Süre 2 dakika 23 saniye","shortText":"2 dk."},"date":"23 eki 2012","modifyTime":1350950400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/960tLR2CpDg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=960tLR2CpDg","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":143},"parentClipId":"16539911896867912341","href":"/preview/16539911896867912341?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/16539911896867912341?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"9750252184413258496":{"videoId":"9750252184413258496","title":"Find all quadratic equations with real coefficients one of whose roots is (2+i)(3-i).","cleanTitle":"Find all quadratic equations with real coefficients one of whose roots is (2+i)(3-i).","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=IZN_Yf7gX0M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/IZN_Yf7gX0M?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":105,"text":"1:45","a11yText":"Süre 1 dakika 45 saniye","shortText":"1 dk."},"views":{"text":"1,1bin","a11yText":"1,1 bin izleme"},"date":"23 oca 2013","modifyTime":1358899200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/IZN_Yf7gX0M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=IZN_Yf7gX0M","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":105},"parentClipId":"9750252184413258496","href":"/preview/9750252184413258496?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/9750252184413258496?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3494792973351002301":{"videoId":"3494792973351002301","title":"Prove the following relationship amongst the binomial coefficients in the expansion of (1+x)^20.","cleanTitle":"Prove the following relationship amongst the binomial coefficients in the expansion of (1+x)^20.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=xW36Umesvug","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/xW36Umesvug?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":257,"text":"4:17","a11yText":"Süre 4 dakika 17 saniye","shortText":"4 dk."},"date":"19 ağu 2012","modifyTime":1345334400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/xW36Umesvug?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=xW36Umesvug","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":257},"parentClipId":"3494792973351002301","href":"/preview/3494792973351002301?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/3494792973351002301?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"10108474074474086886":{"videoId":"10108474074474086886","title":"Prove that both roots of (x-b)(x-c) + (x-c)(x-a) + (x-a)(x-b) = 0 are real.","cleanTitle":"Prove that both roots of (x-b)(x-c) + (x-c)(x-a) + (x-a)(x-b) = 0 are real.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WsDmh2WS1zU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WsDmh2WS1zU?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":172,"text":"2:52","a11yText":"Süre 2 dakika 52 saniye","shortText":"2 dk."},"views":{"text":"7,7bin","a11yText":"7,7 bin izleme"},"date":"15 kas 2012","modifyTime":1352937600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WsDmh2WS1zU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WsDmh2WS1zU","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":172},"parentClipId":"10108474074474086886","href":"/preview/10108474074474086886?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/10108474074474086886?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"14182456918723455606":{"videoId":"14182456918723455606","title":"Find all quadratic equations with real coefficients one of whose roots is (5+i)/(2-i).","cleanTitle":"Find all quadratic equations with real coefficients one of whose roots is (5+i)/(2-i).","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=CTA33_crOgM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/CTA33_crOgM?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":"d3d3LnlvdXR1YmUuY29tO1VDaEx1UEY0bHJheUE0ZWxiN0VqZXpEUQ==","name":"mathmuni","isVerified":false,"subscribersCount":0,"url":"/video/search?text=mathmuni","origUrl":"http://www.youtube.com/@mathmuni","a11yText":"mathmuni. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":167,"text":"2:47","a11yText":"Süre 2 dakika 47 saniye","shortText":"2 dk."},"date":"23 oca 2013","modifyTime":1358899200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/CTA33_crOgM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=CTA33_crOgM","reqid":"1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL","duration":167},"parentClipId":"14182456918723455606","href":"/preview/14182456918723455606?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","rawHref":"/video/preview/14182456918723455606?parent-reqid=1774581139236081-1128174183098995907-balancer-l7leveler-kubr-yp-sas-36-BAL&text=mathmuni","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"1128174183098995907736","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":"mathmuni","queryUriEscaped":"mathmuni","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"}}}