{"pages":{"search":{"query":"Mathematics World by murali master","originalQuery":"Mathematics World by murali master","serpid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","parentReqid":"","serpItems":[{"id":"17718059883686195518-0-0","type":"videoSnippet","props":{"videoId":"17718059883686195518"},"curPage":0},{"id":"5083908726528682635-0-1","type":"videoSnippet","props":{"videoId":"5083908726528682635"},"curPage":0},{"id":"15288269157172824122-0-2","type":"videoSnippet","props":{"videoId":"15288269157172824122"},"curPage":0},{"id":"941785173953605522-0-3","type":"videoSnippet","props":{"videoId":"941785173953605522"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dE1hdGhlbWF0aWNzIFdvcmxkIGJ5IG11cmFsaSBtYXN0ZXIK","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","ui":"desktop","yuid":"7278323351765266765"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"18278002593478409128-0-5","type":"videoSnippet","props":{"videoId":"18278002593478409128"},"curPage":0},{"id":"6412172145409622253-0-6","type":"videoSnippet","props":{"videoId":"6412172145409622253"},"curPage":0},{"id":"15488449806532643033-0-7","type":"videoSnippet","props":{"videoId":"15488449806532643033"},"curPage":0},{"id":"13314008409659750622-0-8","type":"videoSnippet","props":{"videoId":"13314008409659750622"},"curPage":0},{"id":"8735339330492302606-0-9","type":"videoSnippet","props":{"videoId":"8735339330492302606"},"curPage":0},{"id":"6670707125207160680-0-10","type":"videoSnippet","props":{"videoId":"6670707125207160680"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dE1hdGhlbWF0aWNzIFdvcmxkIGJ5IG11cmFsaSBtYXN0ZXIK","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","ui":"desktop","yuid":"7278323351765266765"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"10191020088565895682-0-12","type":"videoSnippet","props":{"videoId":"10191020088565895682"},"curPage":0},{"id":"16111252625974823978-0-13","type":"videoSnippet","props":{"videoId":"16111252625974823978"},"curPage":0},{"id":"11637486791873276139-0-14","type":"videoSnippet","props":{"videoId":"11637486791873276139"},"curPage":0},{"id":"3183148747324434751-0-15","type":"videoSnippet","props":{"videoId":"3183148747324434751"},"curPage":0},{"id":"4748624253105392545-0-16","type":"videoSnippet","props":{"videoId":"4748624253105392545"},"curPage":0},{"id":"6503072429805140772-0-17","type":"videoSnippet","props":{"videoId":"6503072429805140772"},"curPage":0},{"id":"7622747873029103427-0-18","type":"videoSnippet","props":{"videoId":"7622747873029103427"},"curPage":0},{"id":"15327290998001026799-0-19","type":"videoSnippet","props":{"videoId":"15327290998001026799"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dE1hdGhlbWF0aWNzIFdvcmxkIGJ5IG11cmFsaSBtYXN0ZXIK","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","ui":"desktop","yuid":"7278323351765266765"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathematics%2BWorld%2Bby%2Bmurali%2Bmaster"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"9358086804829479797125","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1419615,0,79;151171,0,51;128380,0,33;126340,0,33;1281084,0,43;287509,0,49;1231501,0,23"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathematics%2BWorld%2Bby%2Bmurali%2Bmaster","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Mathematics+World+by+murali+master","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":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Mathematics+World+by+murali+master","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Mathematics World by murali master: 2 bin video Yandex'te bulundu","description":"\"Mathematics World by murali master\" sorgusu için arama sonuçları Yandex'te","shareTitle":"Mathematics World by murali master — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y7bc1bd8088cf28fc7f876db4bb49f06a","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1419615,151171,128380,126340,1281084,287509,1231501","queryText":"Mathematics World by murali master","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"7278323351765266765","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438701,1437540,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1765266770","tz":"America/Louisville","to_iso":"2025-12-09T02:52:50-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-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":"1419615,151171,128380,126340,1281084,287509,1231501","queryText":"Mathematics World by murali master","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"7278323351765266765","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":"9358086804829479797125","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":159,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"7278323351765266765","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1728.0__08d7da8c2bad1b707ab3442285ef2d22c008371a","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"17718059883686195518":{"videoId":"17718059883686195518","docid":"34-11-16-ZB92C077834A5CA14","description":"This video explains about arithmetic progression for the 10th & Plus one students. Please subscriber the channel for more video updates👆👆 This video created for educational purposes only.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1601235/53963f01e1bc70c294db6caa4d977667/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/YTvM3AEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2COqBCXfZ54","linkTemplate":"/video/preview/17718059883686195518?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Arithmetic Progression Part-3|Mathematics World by murali master","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2COqBCXfZ54\",\"src\":\"serp\",\"rvb\":\"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-f38BQDwBQsFEAP9AA4M8wT1AAAA9gf8__8C_wAA-P4MCAAAAAQG9wECAAAA8_oBBf0AAAAT-vT1AwAAABj29Qj9AAAADwgFAv4BAAD8_AoEA_8AAAcCBfj_AAAAAg4RBP8AAAAAAQEDAQAAAAX_-_YAAAAAIAAtcYbeOzgTQAlITlACKoQCEAAa8AF_AO8C1hPuAAb14QDR-gMBtSYe_xkg5QCoIRgC4PPMAQkl-gC249_-CgYT_-YXGP8r3Nj_Dc74_zv2-QAgBg4A7vz9AEfS9wEvDRMC8_Xu_-r6Hv0Q4hgAAOrzAAT-9QAQ7SL9CSDdAQnuxAcr2yABGAsYASUCC__97f8A3Aj4Afj5z_4VAPAC8fju_9D_GgHrCvIDGPoK_OUF__wH8_n-F88R_RYn_f0u5wIA__QD_fEBBwAc5ekCEhwd__oP8gP1-CAC2NwEAxQR_wIc7f0N7vr-_gfi7QHuCP8NEewH-gHs-QrsAQAH6w0GEuz-7wMgAC19nDA7OBNACUhhUAIqzwcQABrAB5IH8r6mQAs94IOXvHdRDz38AZo9JDMPvLvbq7ylMiA9k9vbPCqxJj32zFe9D9YhuZaTQL6izKs86NJkPAovYT4XcbC8QdPGOe_lTr4QqEM9GKzAuz9U-r1tXsu8hhQtvVzFhz3G_4g9ViMgvZV6Wz0qnxc6_sG2PBHxYL0jBQC9HTOWO_cAHb6liRI9WOsfvQ044rdYjcY7QkSou3cx7T2PACm9dpYRPHxynjxQj0i9xqfAPBlYF74VTRG9Lh1zPBEALD6WWxo92x3tPEoPHrttxb68wlGNPGwHg73NFto8ljCJvPdJJL20PoA8UNMdvQUX6z2nnvs8rXoMPHf1Cr6gny49XPlRvMIQnrxYPDU9DViNPCYMdL1dRrs9TCy6PLrS1zzISZw95gMGu30TmT0PcBS7Sj-jOxdc_byUPC09X-HuO6oeRrqAgYA9VNNkPPFmzT2vV7-73Sz7u5N9Br1paEg9iNEaPCcHrb0XVmC89Pt-vM-aZD32UVy9e-uuO_hmxT2_ooY9NkU2vEWA8z28Yba9ey8dO1d7OL0vh_29KqBmOusTyjwJ5kM8bkKrvEGUiT1tJS-9O0j8Ohjsxjw7M7a9oOEsO6kIgTwmjry8pwbYu8DLbL1lSrW8bxYMPNsuersv_7o7BrlNu6H8GD3RfEk9dioqPB3ejb1y22O9zUo7Opt-vz0Ud_w89IgrOiZWhj1a-QC9PJL4uFJfGz1ZYYS8bXlYOUDBJb0p1pS9iD-XOfCOx710iI-7eiJnt3kBqz0iwbe7KPU2OYt2Kz0gl1g99qhfuCpih73w65E8DsS9ONcQwTxAffQ7-TkyuPr9DL0_S2G9v1eTueX2Q7v8AwC9rOsKudB03TvsI7Y9FVQhuL25Cb0Yfiu9tFAGuS3uPz08BVo63xHluGrxbj3Ikn49kA4OOMayC7xvXVa8dDCQt5gZNrx56Lu8fnm3OngfTD2lr_E8l88COXKuhz2zCju9YU4EOdHTF7z-5m47To39OICckD1IwK09fL7iOB9Hczy_EuE77BYvuIEE5T181Qq-l8dAuZRfR7oNZwY8HjFlN1o0o718Wko9ciBsOINmHD35w6o8kqDwOFn6kLxQPIK8E5Ryt-wsH71ryVQ9W7mgOIJVRT50yDc9ydyEuRmbbL2JhOW8tErON0cn5jy-p629yTRvt-Y7OL2oLX89yhDIsl6qSL066R2-tGP6uCL_7D01KQU-835buOIYrjxvpaI9TCdSuATRCb1dhy-9zOkaNzqQ1b2A6b68tb6GuCAAOBNACUhtUAEqcxAAGmAZ-gAwCjm-4AUVAQHNDxPi3yq0_9bq__rX_9crCu8hBMPaGyEAGsEp6KMAAABUzOzg9QDKf_7-Eibh0iGsow7z9XPyLAraBCP7sgfC_sQqC-_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-vgAALL4AAOA8AABcPgAAlj4AAPg9AAAQvQAACb8AAMq-AAAsPgAA6L0AADA9AAAsPgAAbD4AADA9AADgvAAA1j4AAPg9AABsPgAA7j4AAH8_AAAwvQAAvj4AABA9AAC4PQAAFL4AAEA8AACKvgAAED0AAHQ-AACKPgAAiL0AAGw-AAA0vgAAED0AAI4-AAAEvgAAhr4AAPq-AACuvgAAfL4AADw-AACgPAAA3r4AAJK-AABwvQAAdD4AAIa-AACIvQAAor4AACy-AABcvgAAZD4AADA9AABsvgAAmL0AAFk_AACAuwAAjj4AAL4-AAAkvgAAgLsAAHA9AAD4PSAAOBNACUh8UAEqjwIQARqAAgAAor4AAOC8AADYvQAAPb8AAMg9AABAPAAA4LwAACy-AAAsPgAA-D0AAIi9AACgPAAAmL0AACS-AABkPgAAoLwAAKi9AAApPwAAUL0AANo-AABQvQAAXL4AAEQ-AADIvQAAmD0AAAw-AAC4vQAAmD0AADA9AADYvQAAqL0AABQ-AAAwPQAAVL4AABw-AADgPAAAgDsAAFA9AABwvQAAcD0AAIg9AADYvQAAML0AAMi9AACIvQAAyL0AAH-_AAD4vQAAcL0AALg9AAA0vgAAhr4AADy-AABkPgAAoLwAAKg9AACAuwAA6L0AAFC9AABQPQAAgDsAAGy-AAD4PQAATD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=2COqBCXfZ54","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["17718059883686195518"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5083908726528682635":{"videoId":"5083908726528682635","docid":"34-0-3-Z8D1770A269692CFC","description":"Maths world by rida | Class 10 | Chapter 3 | Exercise 3.7 "Explore the world of mathematics with our Class 10 Chapter 3 video on Variation - Ex 3.7 life problems about Variation. Learn the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/366455/bf663041133b5defa3e3d4ad14277654/564x318_1"},"target":"_self","position":"1","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DwR4GOlbUzjI","linkTemplate":"/video/preview/5083908726528682635?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Maths world by rida | Class 10 | Chapter 3 | Exercise 3.7","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wR4GOlbUzjI\",\"src\":\"serp\",\"rvb\":\"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_gI_QL-DPjx9_79AOr4-_MC_wEA_fUHBAIAAAANDfP8CAAAAAD0AAMA_QEADPf3_QMAAAAGBwH__gAAAAL5Ev__AQAA9vkGDwT_AAD-6_76_wAAAAwNEPkAAAAA-hIKDQAAAAAG__r2AAAAACAALUNSzzs4E0AJSE5QAipzEAAaYPIEAEE7Kw7hKAvx1dn2PwzB6eweANz_6-EA_R37-fz-4J8N8_8aySjwrwAAAA710OTaAP9h5efwHQ8C8M_o8-kZfwU6p-7ZLPzs_NXN_T4c58sRBwDUCfAtJcXKKiUl-iAALWNFMDs4E0AJSG9QAiqvBhAMGqAGAABwQQAAiMEAAI5CAABEwgAADMIAAIC_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_AACMwgAAUMIAAKBAAABAwgAAoEAAAJBBAADAQAAAjMIAAJpCAAAAwAAA2EEAANBBAADgQAAA2EEAAKhBAAD4QQAAUMEAAMjBAAAAwAAAgMAAACDCAAAowgAAREIAABjCAACAwQAAPMIAAPRCAABowgAAVMIAANDBAAAAwAAAyEEAAGjCAAAQwgAA6EEAAILCAAAAQQAAPMIAABDCAAC4wQAAgMAAAMDBAAA0QgAA2MEAAMhBAAB0wgAAOMIgADgTQAlIdVABKo8CEAAagAIAAIa-AADgPAAAsj4AAJ4-AAAMPgAAmj4AADy-AADyvgAAlr4AAIA7AAB8vgAARL4AALo-AAB0PgAAtj4AAHy-AABcPgAAyD0AAJg9AAC6PgAAfz8AABQ-AAD4PQAAcL0AAHA9AACCvgAAML0AAGy-AABwPQAAij4AABQ-AADgPAAAhj4AAIi9AABwPQAA2D0AAFA9AACYvQAAjr4AAIC7AAAQvQAAbD4AABQ-AAAwvQAAED0AAIY-AACgvAAAML0AAEA8AADIvQAAuL0AAIi9AACCPgAAcD0AAIq-AAAEPgAAOz8AABy-AAB0PgAAXD4AAK6-AACAuwAAJD4AAIi9IAA4E0AJSHxQASqPAhABGoACAADWvgAA6L0AAIC7AABHvwAARD4AAIA7AACGPgAA6L0AAEw-AAA0vgAAuL0AAMi9AACovQAAbL4AACw-AADYPQAAQLwAAEk_AAAwvQAAsj4AAFC9AACIvQAA4LwAAKC8AACAOwAAyD0AAEC8AAC4PQAAmL0AAOi9AACgPAAAND4AAEA8AAAkvgAAgj4AALi9AAAEPgAAXL4AAIq-AADIPQAA2D0AABy-AABQvQAAoLwAAFy-AABEvgAAf78AAKq-AAA0vgAAyL0AAHC9AABAvAAAjr4AADA9AACmPgAABD4AABC9AADYPQAA6D0AABw-AADoPQAAnr4AALi9AAAMPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=wR4GOlbUzjI","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5083908726528682635"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15288269157172824122":{"videoId":"15288269157172824122","docid":"34-8-2-Z74389B531595703E","description":"In this video i have changed my voice so if u have some problem from my this voice u can comment...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2431894/f370b7b139268d180cabe377b24bc64b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/9NGKLAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiCGYOGDrPNM","linkTemplate":"/video/preview/15288269157172824122?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Exercise 3.3||Lograthim ||class 9th Mathematics ||by Mathematics World","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iCGYOGDrPNM\",\"src\":\"serp\",\"rvb\":\"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_E84DggQkAYAEKyqLARABGniB9QQA-PwFAAMKCg0CCvsCBgLz9vf__wD--_31_AX-APj2BAALAAAA_gf0B_wAAAD4-vsP__8AAP_89QQDAAAAEwsAAf4AAAAOC_wD_gEAAPXy_wED_wAACgX9_QAAAAAABAP3_P8AAAYNCgkAAAAAAAT1BAAAAAAgAC0r5N47OBNACUhOUAIqhAIQABrwAVzsIvuOLsf78usGASsDxwHHUij_fznxAcIO5P__tgoAz-fzAOIXzP7p6vwB_zgD_bfX1P7N2hsABbIJ_-MC5AH88PUAGNUcAWj80_8f5AD97PIWAOX6AQIGAPIEJMnS-9jpPfxE-gsDBjfQAx4REv4k_SUHuwAEBCHKFf7IMA3-76zQAPAaEwT48Pr6tNQsAhAV1P7sERj_9DPwBSDw8vn-wv7w997o_yPVBQIX4Cj94-3q9PsB4gT2GvL80PXy8yAsEPrlrBIEIAb1BLT08_ok8d37LOP1CSP5Av494wjw9-_17clD8v7Uzu8J4xEXECAALdfD_Do4E0AJSGFQAipzEAAaYPnwAEjlI_TkPOXo9tbr_gbzBLIWCxr_BAD_NAnQyB40-KkN-AAT7hbmqwAAABThzuz0ALxpydX8GwPx3b7zEPL2fwAp4QzdKgK-Aw7f2yMVG5gqIgAD-9FRKSbRQk4V_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_AAD4wQAAuMIAAMDAAAAYQgAAoMAAAFhCAACgQAAAOMIAALBBAACAwAAA2EEAABBCAADAQAAAoEEAAI7CAACeQgAASMIAABDBAAB8wgAAUEEAABTCAAAcwgAAuEIAAKhBAABwwQAAmEEAAEDAAAAAQAAApkIAABDCAADAwQAA8MEAAMDAAABgQQAAQMAAAOjBAACYQQAAOEIAADxCAACwQQAAdMIAAABAAAAswgAAgL8gADgTQAlIdVABKo8CEAAagAIAAKi9AADgPAAAvj4AACw-AAAUPgAATD4AADy-AAAdvwAARL4AAIg9AACIvQAAHL4AAJg9AABkPgAA-L0AAAS-AABMPgAAuD0AAMg9AAAFPwAAfz8AADS-AABQvQAAoLwAABQ-AAC-vgAAqD0AANi9AAC4PQAAXD4AALg9AABQvQAAuD0AAEA8AADYvQAAMD0AAPi9AACivgAAur4AAPi9AABUvgAA4LwAAOC8AABkvgAAJL4AAJ6-AABkPgAAQLwAACy-AAA0vgAAHL4AAKC8AAAcPgAAFD4AAMq-AABAPAAAPT8AAIA7AACYPQAADD4AAIi9AADoPQAAyD0AAIg9IAA4E0AJSHxQASqPAhABGoACAABkvgAAcL0AAOA8AAA5vwAAgLsAAKC8AAA8PgAADL4AAFA9AABAvAAAgLsAACS-AABAPAAAPL4AAHA9AACAuwAAyL0AADc_AADovQAAjj4AAKC8AAAkvgAAEL0AAOi9AAAQPQAAgDsAAKC8AABwPQAAcD0AAKA8AACgPAAA2D0AAJi9AABEvgAAHD4AADC9AAAwvQAAiD0AAFS-AADIPQAARD4AABS-AAAQPQAAUL0AAGy-AAAsvgAAf78AADC9AABAPAAAcL0AAIg9AADYvQAA2L0AAIC7AACOPgAAED0AAOC8AAA0PgAABL4AADA9AACoPQAAJL4AAKg9AACYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=iCGYOGDrPNM","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15288269157172824122"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"941785173953605522":{"videoId":"941785173953605522","docid":"34-0-10-ZA775BB233DB0CC4B","description":"Welcome to the meeting point for unique education on all exams, with expert writers. Retro Yayincilik is here in the new academic season with course content and publications tailored to the ÖSYM...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2731391/6b9760eaa6aae695f0416e3b6135d002/564x318_1"},"target":"_self","position":"3","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DoNQQqtb0SMw","linkTemplate":"/video/preview/941785173953605522?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"21) Absolute Value - Math+ Test | TYT Mathematics World | Volkan Önder - 2026","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=oNQQqtb0SMw\",\"src\":\"serp\",\"rvb\":\"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-QUcCPsJ_AId-u4E8wIBAPD8AfPzAf8A3PYI9AL-_wAHF_QA_QAAABH6_Q31_wAAGQXyAPMAAAAPCQgD_AAAAAgO-fz-AQAA-g31DwX_AAD-EBf-AAAAAAkP_wD4_gABHwb3DwEAAAD_FQIO_wAAACAALSiMszs4E0AJSE5QAipzEAAaYBb8AEE1NRux6xjy2toKAgvm3bE0tR3_BCH_6_Tc8gcr5a8GIgAVvkbNnQAAAB8BAA0wANx25c_DNggOHNjRFAERfwAX-eQ9zvqpNeLe4gEU48EXHAAG4_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-QgAAFMIAAOBAAADkwgAAUMEAAEjCAABEwgAAYEEAACBBAAAMwgAAZEIAAJ5CAAAwQQAAksIAAMDAAAAQwgAA-MEAAJDCAABAwgAAcEIAAKBAAABIwgAAwEEAANjBAACQwQAA8MEAAKBAAABQQQAAgD8AAKBBAAAwwQAAgMAAAKjBAACGQgAAEMEAAJBBAAC4QQAAAEEAAFDBAAAUwgAAAEAAADBCAACAQQAAIMIAAFDBAACsQgAAwMAAAIBAAAAcwgAAAEIAAPjBAADowQAAlEIAAODAAABkQgAAMEIAAJzCAAAQQQAAEEEAAHBBAABAQAAAgD8AAETCAAAAwQAAWEIAABhCAABAwQAAoEAAADzCAADAQQAAcEEAADjCAABEwgAATEIAACTCAAAAQQAAmEEAAABCAACCQgAAQEIAAEDAAAAwQQAAEMIAAHDBAACawgAAIEEgADgTQAlIdVABKo8CEAAagAIAAKA8AACePgAApj4AAIg9AAAwPQAAXD4AAIi9AAAVvwAAXL4AADA9AAAUvgAA4DwAABw-AACKPgAAqL0AAFS-AACaPgAAuD0AAHw-AAAfPwAAfz8AAIi9AADCPgAAHD4AAOC8AAAMvgAApj4AABQ-AACGPgAAZD4AAPg9AAC2vgAALD4AAFQ-AAAUPgAAmL0AANi9AAB0vgAAAb8AAOa-AAA8vgAAyD0AABA9AAB8vgAAhr4AAOC8AACuPgAAXL4AAOA8AADYvQAAUD0AABA9AAAwPQAAmj4AAFC9AABAvAAAUT8AAEw-AABAPAAAoDwAABC9AACYPQAAZD4AAIq-IAA4E0AJSHxQASqPAhABGoACAABUvgAAqD0AAFA9AAA9vwAAiL0AAHC9AAC-PgAAuL0AACQ-AADgvAAAgDsAAKi9AADovQAADL4AAHA9AACgvAAADL4AACM_AAAUvgAAwj4AABw-AACavgAAVL4AAOi9AACYPQAAcL0AAKC8AADoPQAAiD0AAIg9AABwvQAA2D0AALi9AABMvgAA2D0AAOC8AADIPQAAqL0AAGy-AADYPQAADD4AAHS-AAAMPgAAiD0AAEC8AACovQAAf78AAIC7AACYvQAAgLsAAJi9AAAcPgAAHL4AADC9AAC4PQAA2D0AAIi9AAC4PQAADD4AABw-AAD4PQAARL4AANg9AAAsPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=oNQQqtb0SMw","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["941785173953605522"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18278002593478409128":{"videoId":"18278002593478409128","docid":"34-0-16-Z610348BDB5158835","description":"things ⭕If you like this video please like share and subscribe. ⭕Click the bell icon to get notified about our latest videos. ⭕All doubts and suggestions can be posted as comments or dm on our...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4055865/4b7370ce846b3ace8a71e29cd87d992d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wmYpcwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dz_UmhMa5giM","linkTemplate":"/video/preview/18278002593478409128?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematical Wonders of the World | Math Magic - CBSE","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=z_UmhMa5giM\",\"src\":\"serp\",\"rvb\":\"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__X-AgD8-QYHAgf8Av0C9Af4_f0A7gnwAAQAAAAC-wT6DwEAAPsF9fz_AAAA_gP_EPf-AQALDfsCBQAAABYM8vkAAAAACA4NB_4BAAD3-QUOBP8AAAwNDvcAAAAABf4C9wEAAAACEQEIAAAAAAMMAwQAAAAAIAAtHT3WOzgTQAlITlACKoQCEAAa8AF16fUB0RbsAOcK7QDEKQkAqwn_AAbzIv_4FhkAgQvJ_igOAgDr6w8ADOAX__sp5v9e7-X_Pe4TACDmJAAtB8oA0Q0rACzmAgAUFh0B8fPs_r0T7_8DAfACI-j0AAQJCv_q6_r8HvL7_BvwAABS_goDDcX6AcYQAQIQGu8EzRMbARP1BwD79gcH8_EH-BccDv8eFuUDCwAMCfrt_QId8Nj_6ucABvQR2__rIwoE7OQG_NUV-fgWAvQBLP7_9drjFwP8Lg0D9AT-BBH8EPz9-vkA2vsDBhEE__HkAfX_Jd_vAQTh-frqHAEAAgL-AObwEwIgAC27Nx07OBNACUhhUAIqcxAAGmD_AAAwCjsN5coM2dP81QwR-iDWMPrs_woG_98e_twbLAPQESgABM4b8LYAAAAd7jMO_ADWYOXGuhP6-zbT0uMh-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_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-AAAcPgAA2D0AAJI-AAAQvQAAPb8AAJq-AADYPQAAgLsAADC9AADIPQAAtj4AAIi9AAA0vgAA6D0AAFA9AABEPgAAyj4AAH8_AACAuwAAlj4AADA9AACOPgAAVL4AANg9AAAkvgAArj4AAJo-AAAsPgAA2D0AANi9AADYvQAAED0AADA9AAAMPgAAcL0AALa-AACSvgAApr4AAIC7AAC4PQAA-L0AAES-AAA0vgAAHD4AAKi9AAC4vQAAdL4AAOA8AAA0vgAAiD0AAIA7AACYvQAA4DwAAFc_AAD4PQAAdD4AAKA8AAAQvQAAmD0AADw-AACIvSAAOBNACUh8UAEqjwIQARqAAgAAjr4AADw-AADYPQAAJ78AAIA7AADovQAAjj4AAES-AABQPQAAhj4AAHA9AADYvQAAQDwAABy-AACYvQAAML0AABC9AAApPwAAuD0AANI-AACIPQAA2L0AAKi9AAAMvgAA4DwAALi9AACoPQAAFD4AAFC9AACoPQAAgDsAABw-AADIvQAAgDsAAJg9AACCvgAATD4AALg9AACOvgAA-D0AALg9AAAUvgAAgDsAAFC9AACYvQAAgDsAAH-_AABAvAAAHL4AAAQ-AADYPQAAuD0AAKA8AACgPAAAiD0AAHA9AADgvAAAuD0AAFA9AACYPQAAED0AACS-AACAOwAA-D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=z_UmhMa5giM","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["18278002593478409128"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6412172145409622253":{"videoId":"6412172145409622253","docid":"34-1-3-Z212E62C308F76DC3","description":"concepts included in this video:- Matrix multiplication Example 17 hope you all liked the video. you can comment down or email me any doubts.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2327027/6fa480ce858c3c22dbe4df17c6d14eb3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/TJbcFwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0DgVpNsPwAI","linkTemplate":"/video/preview/6412172145409622253?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Matrices Part -2\\\\ Mathematics World","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0DgVpNsPwAI\",\"src\":\"serp\",\"rvb\":\"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-_v7-wUAA_oNDQUK-gL2EvT8-P39APwF-v0GBP4A-PYEAAsAAAAFDfUJBQAAAPUFAwj8AAAADAb2AwMAAAAWBPz9AwAAAA0L_AP-AQAA-AEK_gIAAAAFDAgAAAAAAPsEBP0AAAAABg0KCQAAAAD-B_0G_wAAACAALVmR4js4E0AJSE5QAiqEAhAAGvABfxET_uPuzQHtBtUAzvDvA6QvJf_8NdEA2vT1_9jwwAH5-dn_yw_2_wL6-wDLL_7_QfXI_-XLJwAT1gUAMej3AMj-8QAT1O4CRgMX_w8B4v_4-Sv_Es4IAB_l5QAfGsQA_uYX__gWBvz9-NL9HugXAyYSOwAs4RAB28kNAez2DwYb7dv95z35ABjP5P692ScCFP7rCf8cFf_TGdgA_ekLBgjvGPYIL9T9K9n3AR8m9PfB-wMBze3tAxYiJP7fD-8DFPUh89UD-f_p4wUKDuYJ_QcR8wcJ7vUIFvsGDxb9AgH_6ewA-fn-7eTI-_ziFf_7IAAtHUYQOzgTQAlIYVACKs8HEAAawAcpIM2-nYwAPYpCBr0cyD-9CeqMO5zMLr1JXie941VWPaa_zbyCykg-xJSIvFVKkbuNtQ--p0OCPOWXgzuY3SM-gUmQvUP09bxxPVq-5xa_PYVMqLy3siS-KRXDPETQYrxAXCg8uG5vvP0EhrvBfr498vfBvRetbbwBnMW7ff7Bu6CSbr2YrWu9F-VDvbxJAr23f4W959PZvNCP0DovUf09sQVgup-rrbzgEdU9QlqIO5iygrx6tqi9ruLDuymL6zvJIm09RYTaOyUzKDxDxz06uNkpvdlan7zfGJK92b_hPAGZxjsPe4Y97LmRPTmhK71pM_M8Hm_yvdcl0zptrOS9phEuPZROwTsaQo899vDAPGcxqTqu9Cq-bcXePYrUC7uaxwq7WJOCva71hbxYfi89dPU-PDt4XDzeWrY9jyYNPbbfczuUBk29P4zQPcZPozyuRvY9UulMPOXQoryGmLY9CmSLPfyt17tl_x28WqirPKxjxzodWmS8eYcFPcLsjrqRi5A9itHvulUr2TrfZsY9ObXzvYcfGDzJ6eu9zgPzvGzA1jvdwX49vLskPYh7kbzw-WE9FF8NvneEEbs5xXS8qM45vSGz8buGYI85OzkDvd5LKzxaari9mzTyPBWrBryDHoW95rGWPYnBXTogHxk92GGcPSSsFbufprs8UfyzvZcGmzvDm_e7FXWDOo2UkLvIftY9AoV2O1J02zhp5NM9ydK9vFKwBrgeE468ex89vVGWqbvQXwg96RAYPXd9fbkfotE9WPgfvXnRijg6kLW8BSrOu_rlYzcqRWG9alyOPYdkK7gpzHu8IaOsO6eCUzkvk6e9xl65vGsngjlF_s88kOO9OyAWjTlK8bw9BEkpPZHu57kGJEa9w1e1vQjIXTcezlK9c-yFvPwaFbmFcHY9UXZJPWZXhDgz7hm8fFdOPR51CDnc9bE6zPqDPKt5MTi7j6u6tQW6PGP4BTmrJog9z7eavfufhznEVjU9eWHGPbbmLrhUpdK8H8zHPXLVWLfBWJ89CxmePb0ZIzg0RhA9DhrVvAbq2jeg3Hs9AZm3PVgANrjNcMm6iFFLPf_rGjmBe948sMSoPDkUJLe4Cwg9x8qZvXBWfTiAJqe8XYPDPaIyzDQ72p09WVFDvXGV07j_5V476UCLvcslr7geKng7JQTrvSO_ZziXUZG9h3IdPVM4i7Zeqki9OukdvrRj-rgi_-w9NSkFPvN-W7hgmpg8W5r7PYSt_bjhLYu9m3_LOuYACjhy7L-9yKt4PRfZjTggADgTQAlIbVABKnMQABpgGO4AIQpAxekoAQbe5dQL_McKrTH6Av_SDP8e8d7jPhrh1xYQAAKzJ7qeAAAAR-3e4C8Au3jHxw4qKR4K4dIZA_9__Bcu2-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_AAAcwgAAIMIAAJBBAABAwQAAuMIAANhBAABwwgAAkkIAAMBBAAC4wQAAoEAAAPDBAADYwQAAAAAAADhCAACYwQAAIMEAAILCAAA4QgAAoEAAABTCAAAAwAAAqMEAAILCAADwQQAAQMAAAADAAADYwQAAaMIAADzCAACAPwAAhEIAAJDBAAAQQgAA-EEAAABCAABoQgAAQEEAAJ7CAAC2wgAAmMEAAIBCAACYQQAAAEAAAKDAAAAAQQAADMIAAABCAAAAQQAAQMEAADhCAAD4wQAAAEIAAIDCAAC4wQAAmEEAACBBAADYwQAAKMIAAIBAAAAUwgAAQEAAAHjCAADQQQAAAMIAAMBAAABAwAAALEIAAOhBAABAQgAAPMIAAEBAAAAgQQAAgMEAAADCAAAEQgAAjMIAAHjCAAB0QgAA_kIAACjCAACgwQAAmMEAANjBAABQQgAAoMAAAILCAADOQgAAsMEAAGBBAADIQQAAkMEAAIBBAACwwQAAFMIAAPZCAAAwwQAAOMIAAODBAAC4wSAAOBNACUh1UAEqjwIQABqAAgAAED0AAOg9AAAcPgAAFD4AAIg9AAC6PgAAcL0AAAG_AACCvgAAhj4AAHw-AAAMvgAA4DwAAIo-AADgvAAAfL4AANY-AACoPQAAdD4AAB0_AAB_PwAAyL0AAIC7AADoPQAAML0AAPi9AACoPQAAkr4AAGw-AADKPgAAPD4AAKi9AAD4PQAAML0AAFw-AABAvAAAFL4AAIC7AADWvgAAtr4AAHS-AACGvgAA4LwAAIK-AADYvQAAQLwAALY-AAA8vgAAQLwAAKC8AADovQAAFL4AAIo-AADIPQAAjr4AAFA9AABJPwAA4LwAAIo-AADYPQAATL4AABQ-AAA0PgAA4DwgADgTQAlIfFABKo8CEAEagAIAABy-AABwvQAAQDwAABu_AAAwvQAAgDsAAEQ-AACovQAADD4AAIA7AACAuwAABL4AAAQ-AAD4vQAA-D0AADC9AAAQvQAAPz8AANi9AAC2PgAAcD0AAI6-AACAuwAABL4AAOg9AACgvAAAgDsAAKg9AACIPQAAQLwAAEC8AAAMPgAAoLwAAKC8AACOPgAAUL0AABw-AAAsPgAAHL4AAJg9AAC6PgAARL4AAIg9AACIvQAAyL0AAPi9AAB_vwAAgLsAACy-AABAvAAAED0AAKC8AACIvQAAUD0AAHA9AAC4PQAAML0AAPg9AAAQvQAABD4AAOg9AABEvgAAiL0AAAw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=0DgVpNsPwAI","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["6412172145409622253"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15488449806532643033":{"videoId":"15488449806532643033","docid":"34-10-5-Z54F6A0522A5CB654","description":"Class 12th(twelveth) BSEB math exercise 5.5| mathematics world by V. Kumar |part 1 Dear students I am V. Kumar Today i teach you twelveth math chapter 5.5 part 1...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4032674/38a340fdbb2aa72bfb7042f783733033/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Ps51FAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DANf8Ty0aUnE","linkTemplate":"/video/preview/15488449806532643033?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematics world By V.kumar class12th Bseb Ncert Hindi medium exercise 5.5","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ANf8Ty0aUnE\",\"src\":\"serp\",\"rvb\":\"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-_gE-wD1BPYPBgf8ARD9BgL2AQAA4_D1__v9AgD3AAX5CAAAAPkM-gMCAAAA_-4PBP39AQAN_-v7AgAAABUWCgMCAAAAEhYI-f0BAADz8P8BA_8AABr5_g4AAAAABQD3_v3_AAH_BwX8AAAAAA0E_fsAAAAAIAAtQR7GOzgTQAlITlACKoQCEAAa8AFeBgYB0wfnAAX35QDyKe4AgQUL_xEH7ADaDAL_6Bf7AQ8L6wHc_NYABPUVAOshBQBBAeb_DOMEABb5FQAkHAgA4wwQASDM-AE-D_YA6vbfANUE_P_1_PUA7vTzARYT1QD8_Q4A_RsAAf763_4m3x0BEub7BiT3BwL36-oE3S0Z_v7m0f_98_MD9wUA-db_FwEHGO__-x8H_PYF_QP0-usHDeT0Ah4B7AL2APQI6PUM-93y-fruBe__F_saBOPoAwMUAwP67u7_Ah4j-QT07A77Af4B_-r7AQch-Af8-ukM_e4C-QH6EfsA2g0O_AT3ABAgAC1uJ0g7OBNACUhhUAIqcxAAGmAI8gAQHjQB3DL61_7sBibS0O6zHuUJ_w_i_wYN7MzkJs6KKuYA8eAE6qEAAAAYyfXmCADRf9HZ8yfaCQ2jzgn-8m78Q96y-ykZkTHv8fIHEzW9JxQA9u-TQEECvSsqHPQgAC1Z7Rc7OBNACUhvUAIqrwYQDBqgBgAAmMEAALBBAAAIQgAABMIAAEBCAABwwQAAgMAAAIC_AAAgwgAAyMEAAKDAAAAcQgAArsIAAKBAAAB4QgAAQMIAALDBAAD4wQAA4EEAAIzCAABwQQAAsMEAAFDCAAAAQQAAkkIAACDCAAA8wgAAIMIAAAAAAACwQQAAhMIAAAhCAAA0wgAAVEIAAIBAAACgQAAAHMIAAJJCAADgQAAAcMEAAKRCAADgwQAAgMEAAPjBAADIQQAAOMIAAADCAACwwQAA2EEAAIA_AABAwgAAMMEAADDCAABAwQAAoEEAAAhCAACOwgAAJEIAACBBAACEQgAAsEIAAIA_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_AAAgwgAAuEEAAPDBAAAcwgAAbMIAAAAAAAAAwgAAGMIAALjBAABAQgAA4MEAAMjBAADowQAAcMEAADxCAAAcwgAAuMIAAJDBAACwQQAAgD8AAJjBAABgwQAAqEEAACDBAACEQgAAJEIAAGDCAAAUQgAA0MEAALDBIAA4E0AJSHVQASqPAhAAGoACAAAwPQAAqL0AAHw-AACAOwAAmD0AAPg9AABsvgAA-r4AAHS-AADYPQAAMD0AAIi9AAAsPgAAQDwAABy-AAAUvgAAUD0AAOA8AABsPgAAjj4AAH8_AAAUPgAAoDwAAAw-AABQvQAAir4AANg9AAD4vQAAqD0AAFQ-AABQPQAABD4AAMi9AACovQAAED0AAFA9AACYPQAAQDwAAIa-AABEvgAAHL4AALi9AADgvAAAML0AAHy-AACAuwAAbD4AAJi9AADIvQAAmr4AAHA9AACAuwAAoj4AAMg9AABcvgAAUL0AAAU_AABAvAAAMD0AABC9AABAvAAAcD0AABA9AADovSAAOBNACUh8UAEqjwIQARqAAgAAEL0AAEA8AADIPQAAN78AABC9AABQvQAARD4AACy-AAAQvQAABD4AAJi9AACGvgAAED0AAIK-AAD4vQAAgLsAAIA7AAA5PwAA2D0AAJo-AADgPAAABL4AALi9AAAMvgAA4DwAAFA9AACAuwAAoDwAANg9AAAUPgAAoDwAANg9AADYvQAAhr4AADC9AACovQAAND4AALi9AACOvgAAQDwAAPg9AACIPQAAMD0AAKA8AAA8vgAA4DwAAH-_AAA8vgAAcL0AACQ-AADoPQAAML0AAPi9AAAQvQAAhj4AAIA7AAAwvQAA2D0AAES-AAAUPgAALD4AAKi9AADgPAAAqL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ANf8Ty0aUnE","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15488449806532643033"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13314008409659750622":{"videoId":"13314008409659750622","docid":"34-5-12-Z51F39F0179C701DB","description":"Carl's testimonial of the World Mathematics Academy for ages 15-18. World Scholars Academy offers elite academic summer programs for students ages 12-18 in Business, Medicine, Law, Engineering.....","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3192014/0eaef26bbe4cb47cc87ec5d01c7ca722/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/JlzVSgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dk-RRmg5vV9E","linkTemplate":"/video/preview/13314008409659750622?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"World Mathematics Academy for ages 15-18 | Carl''s Testimonial","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=k-RRmg5vV9E\",\"src\":\"serp\",\"rvb\":\"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_v8BAAP5Dg4GC_oCAQzu__b-_QDtBPz4BQAAAAL6-___AQAABAb3AQIAAAADAfkF8v4BAAn9_vwDAAAAIg8DBAAA_wANB__6_gEAAPT3BwIDAAAAEgoIAf8AAAAB-gEA__8AAAoZAQwAAAAAAhYH9f8AAAAgAC3YMtQ7OBNACUhOUAIqhAIQABrwAWQE_AGBEv_4bwPmAOIEAwHSCwIALBXqAO8cAwD8-PcB-gkPANn79f8B-AgAGRTnAAT59AD9-vEAEuPkAPwGBQAS7fsA4wwEASIBBgD1A-UA0-QLAPD9AAHcAQT_CQIQ_wrr_P0KDPr_ExkVAAkFB_7-Bg0B_vX1AQH_8P8A8wcAAf7z_ujy8gISARsBA_UJAAvx6wHqDRH99QfxAxwBBfvu5Ov99QX--wrxIgL25_EC2e7_BBQBEAcNB-8FEfoc__f6GgH8DPL5IgH1BgEP_w_1_en4DdjtBvjxBwzr-QMC8xMF8QTo9PkOCPcI7woOCiAALe_HVjs4E0AJSGFQAirPBxAAGsAHBKoHvykInryYq3o8HeJEPEIhIj0nwLA8j52BPQNKPr2ntYS8cRsNvueM6rvIQH69FM_hvsGt-7zV5wq9Jv_zPfEFt72gZSc8F957vQYNHry6xt08Asy2veNTHbxNBGA9wVjfPaIurbyDX1S989WUvSwvlLw_wlW8RpTGPVjxPL1PWS29Vj_AvBf4Rb07eYm725lTPZILmb286-y7-nTBPa5OCb3uMvI8h4RUvZIkaD2_4dM6Vdm8PXj3qz1xSJm8lMIcPuST37t6oxs9XNmvPRqtvr3O-967qDMcvTQ_SL3vUBi790kkvbQ-gDxQ0x29vFpuPbeLvDp25a87UwlqvUQ2oD2YZ0U67IbtPYz3gz1yW5E79PuuPWhiE7yIg0Y7_lC_PbD_Gj35mLg7huVPvXB-njzk0Ky8qBN1vK56BrtgqdM8BYiSvehDIbzvmHA8cXEWvCNuKTxHSNE7GCbTvdOzKj0OELG8wcWOOykhmDw7m4Q8XmO8vQXMEr1eJcS7ggT_O6zR4TztLUC8DogAvoWh5TsUdna8OowOPSe2bD29Zbk6-PzQPSVZTjqLzX080lGOPPXOMjyfBHQ72_n-PVL_6jzRRDM8mgBoPQBZIz1hcTg8jUDhvEDrzLthT2C8TyeEPcbuCjwCy1u8Pfmqu_Ofv7ydGA483MaVPE8BtLo4izQ7V16yvCN3ojxis-m7izHVPNdDJb2o44K6Yi9UPSmjwLy_dyO7mmY1PYFI2rw8JKm7jqt2PZWMUj0RRaO4faEWPe-BiDuPZXO4APLUvIaBHT3tJ524EoBEPWN_2T2rYzM5PSzvPLh-MLzY1cS3qJaTvS2vXLzYtc-5OJ0pPfl2XDyERDG4X8lfvW38S7vbGkw4E_FWPbLlhr1QMbu4hlYnvIpZzz2HcQ05FiMhPXBbwDw_YBI5Xlz0vPWzAj09u4G5bTHJPChJ8ry0nqw4vC-dvIuBnz3Srmw3QeN4vHxH7b1hE6s5dW4fvXOcWz1ey2I3OigcPTwLp7x8Wlq2A8zhPPHejL0kShQ5y9DCu_qkaT0A0KY4icJ9vUk7pDw72ak4lGA7vBFnzbuaZwo5BBCNPXq9AL0FMIA4ziULPLtlYryBvJm20i-2PbXfGr0qgDm4W7d8vR42Ab7rxA85iM0RvXIPTj3-i-63tGDIvaZC4Tz2IsS3UIthvauKOjwUmGu3dkMkPcJNxrwIC7O3BomovZVdVTwsMJ64c-9GPUbzW7yto4K4F_HdvF-kWzoYhvO34_kxvJ4EO71WTIc1IAA4E0AJSG1QASpzEAAaYA4NAP8BPcvyETXj1t4H5-QLDMoY5UH_CP7_EBX2swlBAabDBP8S3PoNnQAAACi2Fg0sALp7D-TfId84Gemv7A07fxZF5skEGdwCCdXQ0B0rDvDoLgDjKMY7_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_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-AABkPgAAcL0AAK4-AAAUPgAAVz8AAIC7AABtvwAAbL4AAKi9AADYvQAAmr4AADw-AAAXPwAAcD0AANa-AABcPgAAVD4AAGQ-AABVPwAAfz8AAJi9AACgPAAAiD0AABw-AADCvgAAmj4AADS-AACSPgAA8j4AAJo-AACKvgAAQLwAALg9AAD2PgAAQDwAAMi9AABAvAAAAb8AAK6-AAD4vQAABL4AALg9AACKvgAAbD4AAIK-AAAwPQAAyr4AAEQ-AAC-vgAAHD4AANg9AAC4vQAAED0AAHA9AACgPAAAbz8AAJ4-AACSPgAA_j4AADS-AADgPAAAhj4AAEA8IAA4E0AJSHxQASqPAhABGoACAAA0vgAAqL0AAAw-AAAvvwAANL4AAKA8AAAEPgAAQDwAAKi9AABAPAAAmL0AADy-AACoPQAAXL4AAOC8AACAOwAAqL0AAFs_AADoPQAAkj4AAOg9AAB0vgAAUL0AAIi9AABQPQAAdL4AANi9AACYPQAA6D0AAAS-AABAvAAA4DwAAOg9AAAMvgAAqj4AANi9AACYPQAAcL0AAFy-AABcPgAARD4AAPi9AACgvAAARL4AAJi9AAAkvgAAf78AAOA8AADgvAAAHL4AADQ-AABQvQAAML0AADA9AAC4PQAAiD0AAMi9AACGPgAA2L0AAIg9AACIPQAAHL4AAOC8AACYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=k-RRmg5vV9E","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1620,"cheight":1080,"cratio":1.5,"dups":["13314008409659750622"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8735339330492302606":{"videoId":"8735339330492302606","docid":"34-9-4-ZFEA02AF9F4401609","description":"In this video, I have discussed the nature of mathematics that can be found in nature. Specifically, patterns that can be seen in our surroundings like the #Fibonacci Sequence, the #GoldenRatio...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4830925/c0d23e9154240d0d24e1bd15ab5a66e7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/xxU4QgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Ddz2fNe4uBTE","linkTemplate":"/video/preview/8735339330492302606?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematics in our World: Mathematics in the modern world (Patterns and Sequence) - Tagalized","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dz2fNe4uBTE\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA-wMDDQoI-wL2AfgA-f7-APoG__UCBP4AAPj-DAgAAAD8Av78_gAAAPj6-w___wAABALuBgIAAAAb-gL1_QAAABkQ_wD-AQAA9v4DBAMAAAACCAH8_wAAAPgKBvv7_wAA_wcDCwAAAAAHCPsDAAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABf_QDAr36Df3w6_oA0wn7AMD39QBH5ecAA_D2AJnpGP8lAAwA8vEeAPcJ_wDp7gv_4vLkACT5CwAS8Qz_WCT7_9gDBAAU5uQA7RjpANPuCP_rEO__4AfzAQQPDP4LEw3_-w8g_iwM__8cHfcCBxj8AQX8-AL0_fwE2Pf7BO0b7f8T6gQE0BX3_wPm8QX59x3_5vH5_BoGBAD1Bf0DC_buAPMW_wD__wEC3fDqAQ0P9Pn38PYBGRjjBOrzBgUIDAQC5P8J9tUM9wMUEwz5_vz49dvtFQbmGf7-7AMEAijtBfbnPv4J-wUH-BIHBAHt_gz8IAAtPFtBOzgTQAlIYVACKnMQABpgEwUANAoe19ETOePi1cQDA_UX3BXf2wDx9ADj-_vzGCzywwAY__nJBf-6AAAADegh_QIAv1_pyM8tBgsX89H2Oet_FxHk9B767c4Hyd_1BzIE3PouAAvzwiQm9todCUMsIAAtcBw9OzgTQAlIb1ACKq8GEAwaoAYAANDBAACwQQAAvEIAACBCAACgwQAAbEIAAFBCAACAwQAAsMIAAIDCAADgwQAAwEEAAKDBAAAowgAANEIAABDBAADAQQAAMEEAAChCAADIQQAAJEIAABRCAACAwAAAEEIAAGBCAABAQQAAgD8AAAjCAAAIQgAAcEEAAAxCAAAYQgAAyMEAAFDBAABQwQAAAMIAAFBBAAB4QgAAQMAAACTCAABgwQAAgMAAAFRCAAAAwQAAgMAAABBBAAAAQgAAYMIAAAxCAACEwgAATMIAADDCAACYQQAAgMEAAJbCAACIwQAAIMIAAPBBAABMQgAAMEEAANBBAADAwAAAgMAAADzCAAAAwgAA8EEAACjCAABMwgAAkMEAAIC_AABkQgAAHEIAAKzCAACUQgAAgEAAAPDBAADQwgAAPEIAABDBAAAQQQAAUMIAAEhCAABgwQAAwEAAAChCAAC4QgAA4EAAAJBCAADIQQAAOEIAADBBAAC4wQAAgEEAAJhBAACgQAAAsMIAADxCAACIQQAAyEEAABjCAACYwQAAqMEAAI5CAAAIwgAAqMIAAKBBAACoQQAAnEIAAEDCAADAQQAALEIAAGDBAABgwQAAAMIAAJRCAABAQAAADMIAAILCAACoQQAAssIAAAhCAAAwwgAAqMEAAEjCAACwwQAAMEIAAMBAAACmwgAA-MEAAEBAAABQQQAAoMAAAFDCAABwQgAAVEIAAFDBAACAQAAADMIAAGDCAAAwwgAADEIAAGBCAAAYQgAAuMEAAFBCAADAwAAAuEEAABhCAAAYwgAAgMEAAABBAADoQQAAYMEAAHDBAAAwQgAAcEIAACBBAAAIwgAAkMEAAKpCAACoQQAAIMIAAIDAAACgQAAAbEIAAIDAAACYQQAABMIAAAxCAABwQgAA4EAAAIBBAAAEwgAAeMIAAADBAABAwAAAqEEAACTCAACQQQAAmEIAAARCAACQwQAA0sIAANDBAAAAQAAAkMIAAJjBAABUQgAAQMEAAIC_AAAQQQAAMEIAAODAAACgwAAAWEIAABhCAAAEQgAAyEEAALhBAACAwCAAOBNACUh1UAEqjwIQABqAAgAAgLsAANg9AAA0PgAA2D0AAOA8AAC6PgAAmL0AADG_AAC-vgAAML0AANi9AABEvgAAXD4AAFQ-AAA8vgAADL4AAFQ-AAAwPQAAjj4AACk_AAB_PwAAfL4AAFw-AACgPAAAEL0AAJa-AAC4PQAA2L0AAOC8AABcPgAAtj4AANq-AAAcPgAA-L0AADQ-AACWPgAAML0AAJK-AAALvwAAHL4AADS-AADovQAALD4AAKi9AABQPQAAML0AALI-AADWvgAAoDwAAFy-AADSvgAA7r4AAJo-AADoPQAAZL4AANg9AAArPwAAoDwAAEy-AACIvQAAtr4AANY-AAAEPgAAyL0gADgTQAlIfFABKo8CEAEagAIAAFS-AACAuwAAPL4AABO_AACgPAAA4LwAALI-AACgvAAAMD0AAFA9AACovQAABL4AAFS-AAAsvgAAMD0AAOC8AADgPAAAAT8AABS-AADqPgAAQDwAAFC9AABMvgAAqL0AAAw-AABAPAAAML0AAFA9AABwPQAAgLsAAEC8AAD4PQAAqL0AAPi9AACYPQAA-L0AAKI-AAAMPgAANL4AANg9AACaPgAADL4AAOA8AADgPAAAEL0AAIi9AAB_vwAA-L0AAES-AAAEPgAA4DwAAHA9AACgvAAAyL0AAAw-AACYPQAAqL0AAOC8AABAPAAAND4AAIC7AACAuwAAEL0AABQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=dz2fNe4uBTE","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8735339330492302606"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6670707125207160680":{"videoId":"6670707125207160680","docid":"34-8-8-Z849E698D1FB7B823","description":"Math The World is dedicated to bringing real world math problems into the classroom and answering the age old question “when will I ever use this?” This video walks through the five steps we use...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3526807/0468b4f26167e525f373d9b70ab320d7/564x318_1"},"target":"_self","position":"10","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXKgycGkKxm0","linkTemplate":"/video/preview/6670707125207160680?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"5 Steps you NEED to Master Your Real World Problem Solving With Math | Part 1","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XKgycGkKxm0\",\"src\":\"serp\",\"rvb\":\"Eq0DChQxNzcxODA1OTg4MzY4NjE5NTUxOAoTNTA4MzkwODcyNjUyODY4MjYzNQoUMTUyODgyNjkxNTcxNzI4MjQxMjIKEjk0MTc4NTE3Mzk1MzYwNTUyMgoUMTgyNzgwMDI1OTM0Nzg0MDkxMjgKEzY0MTIxNzIxNDU0MDk2MjIyNTMKFDE1NDg4NDQ5ODA2NTMyNjQzMDMzChQxMzMxNDAwODQwOTY1OTc1MDYyMgoTODczNTMzOTMzMDQ5MjMwMjYwNgoTNjY3MDcwNzEyNTIwNzE2MDY4MAoUMTAxOTEwMjAwODg1NjU4OTU2ODIKFDE2MTExMjUyNjI1OTc0ODIzOTc4ChQxMTYzNzQ4Njc5MTg3MzI3NjEzOQoTMzE4MzE0ODc0NzMyNDQzNDc1MQoTNDc0ODYyNDI1MzEwNTM5MjU0NQoTNjUwMzA3MjQyOTgwNTE0MDc3MgoTNzYyMjc0Nzg3MzAyOTEwMzQyNwoUMTUzMjcyOTA5OTgwMDEwMjY3OTkKFDE0MDkyMDgxNTYzMDIxNDYwODY5ChMyNDI0MTU4NjczODAzNTQwNzkyGhUKEzY2NzA3MDcxMjUyMDcxNjA2ODBaEzY2NzA3MDcxMjUyMDcxNjA2ODBqrw0SATAYACJFGjEACipoaGVrY2Nxd2x4anJwYnFjaGhVQ0luUjNSSjZKa0lmLV9kZTJINkxIZncSAgASKhDCDw8aDz8TpQOCBCQBgAQrKosBEAEaeIEBCPr5AAAA9fgGCQ4G_AENBv8C9gAAANv09_YH-QMAAvIEDv0AAAD6CPoQAgAAAPID6_r5_wAA_wf89QQAAAAd7wIB-gAAAAACAfz-AQAA__H7AQP_AAAA_Qnz_wAAAAUA-P79_wAAABL8_wEAAAAOBgIDAAAAACAALQix0js4E0AJSE5QAipzEAAaYPsMACUNDNzu7wDm2_f1MAD__9kG_voACv0ACysKvw4G3NIl__88vBD5vwAAACf-8_8qANpTIOrrQAvPDNLZDw76f_8G6wYw-_voE_zlGA4HD70yLADRD_ccDQvENgzpJiAALfchTDs4E0AJSG9QAiqvBhAMGqAGAABAQQAAgMAAADRCAACAQAAAwEAAAIhBAAAkwgAAjsIAAAzCAADIQQAA-MEAAKjBAADYwQAAwEEAAJxCAACAwgAA8EEAAGjCAACAQQAAoMAAAABBAABEwgAAyEEAAGBBAACOQgAAsEEAAGDBAAAwwQAA4EEAAIBBAACcwgAAsEIAAODAAADAwAAAgEAAAFBBAACAQQAAqEIAACjCAAAgQgAAWEIAAODAAAA4QgAAIMEAADjCAADAwAAAwEAAAMjBAABEQgAAwMEAAADBAAAUwgAAiMEAAODAAAAMQgAA-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-AAAcPgAAyj4AAPi9AAApvwAAED0AAFy-AABkvgAAtr4AAMg9AAAcPgAAJL4AAMg9AABMPgAAQDwAABw-AAAZPwAAfz8AAPi9AACKPgAAgDsAADy-AADqvgAAlj4AAHA9AAAUvgAAVD4AAJ4-AACIPQAAPL4AABA9AACoPQAAyD0AAJg9AAAwvQAAA78AAFS-AACqvgAAXL4AABQ-AADgPAAA1r4AADS-AAB0PgAAkr4AAPi9AABMvgAA6L0AAJK-AABEPgAAkj4AAKA8AADgvAAASz8AADC9AAC4vQAAFL4AAFS-AABcPgAAcD0AAMg9IAA4E0AJSHxQASqPAhABGoACAABkvgAAiD0AAMg9AAA_vwAAgDsAAOg9AACmPgAAqL0AACw-AAAMPgAAgLsAALi9AABEvgAAfL4AAMg9AADgPAAA4DwAACU_AADYvQAA1j4AAJi9AABEvgAA-L0AAKA8AACgPAAAyD0AAFC9AADIPQAAqL0AAMi9AABAvAAAiD0AAKA8AACIvQAAZD4AAHA9AAAMPgAAgDsAAJa-AADYPQAAMD0AAOC8AADIPQAAmL0AAAS-AAD4vQAAf78AAIg9AAAUvgAAUL0AAAS-AACgPAAAqD0AAOA8AADgPAAAqD0AAKC8AACAuwAAgDsAABA9AACAuwAATL4AAJg9AADSPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=XKgycGkKxm0","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6670707125207160680"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10191020088565895682":{"videoId":"10191020088565895682","docid":"34-11-12-Z22255E1D69E20B05","description":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar |part 1 Dear students I am V. Kumar Today i teach you twelveth math chapter 5.1 part 4...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3092084/fee8ab18cce2fc87e45caa659eafde7a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/N4NcUAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DdLRoac_4ufg","linkTemplate":"/video/preview/10191020088565895682?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 4","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dLRoac_4ufg\",\"src\":\"serp\",\"rvb\":\"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_wH4_f0A8v0B9fUBAAD_BA30CAEAAP4I8wf8AAAA9vL9Cff_AQAM9_f9AwAAAAoOEgL6AAAACg8DAP4BAAD08f8BA_8AABAACPv_AAAABQfzAQAAAAAJFwb-AAAAABMLAPsAAAAAIAAtrT7ROzgTQAlITlACKoQCEAAa8AF_BfsCrgzr_Qb14ADvMOoAoBILABoi5ADJ_B0AxQPlAEUX_ADV-87_7-_9AfAhC_9IE_H__f0B_zTpFgA2ARQA0wQUADrz5AAnDuoB__TW_8UlCP4B9e79-fXXAAn3yQDtAhT9DAEIAN322gAP9ggADuUSAx4EDQgB-vn_0kH9Af7iyf_i7-4D9PIG-OX2KgYX-_gACyQG-u0g_gTx-ecIAPIMAjQJ-P0I7usH5_0B-_sI8f4PAeIB-BAQBvzc7vkbFwD6C_EF_AcmCgju-hn9CwP-_Nj9AAT0AQ_7F9kP9PgIAAf5FPoA2hYC_gz36wEgAC3g4Sk7OBNACUhhUAIqcxAAGmAK7gAxJz4X0gMO2fzW6jT74tDCK9H0_wTp_w0HA9L9E9qoPub_AMAN3qEAAAA32QLfAQDWf_DOvhfVGiKpzfgjAF4DPNWw4iUFvTnd1OYREgrFDDIA8vOUKCkCyRsvPeogAC2EuBs7OBNACUhvUAIqjwIQABqAAgAAUD0AALi9AACGPgAAyL0AADw-AAAUPgAA2L0AADO_AADmvgAAyD0AAKg9AAAQvQAAND4AAMg9AACmvgAApr4AACQ-AABwPQAAVD4AAN4-AAB_PwAAPD4AADA9AAD4PQAADD4AAL6-AACePgAA6L0AAMg9AAC2PgAADD4AAJY-AACIvQAARL4AAES-AACoPQAALD4AAKi9AACCvgAAbL4AAAS-AAD4vQAAMD0AALi9AACSvgAAoDwAAFQ-AAAkvgAANL4AALq-AABUPgAAmL0AAMI-AACgPAAAgr4AAJi9AABRPwAAcL0AAJg9AACuvgAAXL4AAMg9AABQPQAAPL4gADgTQAlIfFABKo8CEAEagAIAAFS-AABAvAAAiL0AAEO_AABQvQAAML0AAEw-AACCvgAAQLwAABw-AADIvQAAFL4AAAS-AAAsvgAAqL0AAKC8AACYvQAALT8AAKC8AADmPgAAED0AACy-AAAcvgAAHL4AALg9AADgvAAAUL0AAOA8AAAQPQAAyD0AAEA8AADYPQAAgLsAAI6-AAC4PQAAyL0AAMg9AACIvQAAXL4AAKg9AAAkPgAAcL0AAEC8AAAQvQAAPL4AALi9AAB_vwAARL4AALi9AADYPQAAyD0AALi9AAAkvgAA4DwAABQ-AAAQPQAAmL0AACQ-AADYvQAAFD4AAPg9AABwvQAABD4AABA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=dLRoac_4ufg","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10191020088565895682"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16111252625974823978":{"videoId":"16111252625974823978","docid":"34-1-8-Z8C59FCCDF584D35E","description":"Mathematics IN THE Modern World: Mathematics AS A Language. This is just one of the video-series relating to Mathematics in the Modern World (MMW)- one of th...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3218718/2ae74fc082ed73c6df69d476a5f0bd39/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/41svQgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dqzf34178IUc","linkTemplate":"/video/preview/16111252625974823978?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematics in the modern world: mathematics as a language","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qzf34178IUc\",\"src\":\"serp\",\"rvb\":\"Eq0DChQxNzcxODA1OTg4MzY4NjE5NTUxOAoTNTA4MzkwODcyNjUyODY4MjYzNQoUMTUyODgyNjkxNTcxNzI4MjQxMjIKEjk0MTc4NTE3Mzk1MzYwNTUyMgoUMTgyNzgwMDI1OTM0Nzg0MDkxMjgKEzY0MTIxNzIxNDU0MDk2MjIyNTMKFDE1NDg4NDQ5ODA2NTMyNjQzMDMzChQxMzMxNDAwODQwOTY1OTc1MDYyMgoTODczNTMzOTMzMDQ5MjMwMjYwNgoTNjY3MDcwNzEyNTIwNzE2MDY4MAoUMTAxOTEwMjAwODg1NjU4OTU2ODIKFDE2MTExMjUyNjI1OTc0ODIzOTc4ChQxMTYzNzQ4Njc5MTg3MzI3NjEzOQoTMzE4MzE0ODc0NzMyNDQzNDc1MQoTNDc0ODYyNDI1MzEwNTM5MjU0NQoTNjUwMzA3MjQyOTgwNTE0MDc3MgoTNzYyMjc0Nzg3MzAyOTEwMzQyNwoUMTUzMjcyOTA5OTgwMDEwMjY3OTkKFDE0MDkyMDgxNTYzMDIxNDYwODY5ChMyNDI0MTU4NjczODAzNTQwNzkyGhYKFDE2MTExMjUyNjI1OTc0ODIzOTc4WhQxNjExMTI1MjYyNTk3NDgyMzk3OGqECRIBMBgAIkUaMQAKKmhoYW9scXJmdG9obW9tdGJoaFVDSmxyVlNjdUJGdkhfMUpCTFhxSzktZxICABIqEMIPDxoPPxPhA4IEJAGABCsqiwEQARp4gfv_Af_7BgD7_P8PAQj8Avb5-_z6_v4A-gb_9QIE_gAA-PkCDAAAAP4H9Af8AAAA-Pr7D___AAAEBPgHAwAAABUF_fH8AAAAFAX_AP4BAAD1-AcCAwAAAAoJBPv_AAAA8QQE_f7_AAAGDQoJAAAAAP8H_v8AAAAAIAAtxJ_jOzgTQAlITlACKoQCEAAa8AF_7P8D2BPvAPEF3gDa_90AtPkJAC8U9AC9_wAApO3d_w8SLwDn7fYAEwkKANccEAAe7-D_F-j-ACDvD_89HeYAxQYNAUTU-AEWEfEBB9vuAdjsBgH0_PQADuL5ACkM7v7z9Rf-IQTf_yEA_QER6QABGwn-BfEVCwEC4c8C3Sr3AAnd-Pzr-uUBHu38_fn3Hv8PC-8B-xLu__gj9QMd9AH-_OgD-xIJ6QPuC_YEBPz8_uHkAwH5FOr79NwYAfHzAwPeIAAH5QgDBxkEDvoG8w0DAAkD_fP0A__b6fgFHNX__Qso_Ab_EhX29CAA-e8BBg8gAC3Ybjc7OBNACUhhUAIqcxAAGmAd-gAf_xvm2Pga7Njmzfjz7hu7ItXk__b4_-0P-esnLNrCFvn_DMUC7LUAAAAK6Rr2GADdZ9nQzDANCBT7v-8jBH_zFQ_e_AgPvAv35uoILRfhFDkACwKrNCUQ0kYHWjIgAC1tmzM7OBNACUhvUAIqjwIQABqAAgAAED0AAAy-AAAEPgAAHD4AAAQ-AACiPgAAgr4AABm_AACmvgAAoLwAAJi9AACuvgAAMD0AAIY-AACSvgAAoLwAAMI-AADgvAAAXD4AAOI-AAB_PwAAir4AAI4-AAAwvQAAqr4AAI6-AABsPgAAdL4AAHC9AABcPgAAuj4AADy-AAAsPgAAVD4AAHQ-AADIPQAAyL0AAKq-AAAHvwAA-L0AAK6-AACOvgAAED0AAI6-AABEvgAAEL0AANI-AACSvgAAPL4AAPa-AAAcvgAA2r4AACw-AADoPQAA-L0AALi9AABLPwAAJD4AAFC9AACCPgAAXL4AAJg9AAAQvQAAED0gADgTQAlIfFABKo8CEAEagAIAAGy-AACIvQAAkr4AABG_AADovQAAcL0AAGw-AAAUPgAAuD0AANi9AACovQAALL4AAAS-AAAMvgAAqL0AAIA7AADIPQAA1j4AABS-AADGPgAAgDsAABw-AABUvgAAyL0AAJg9AAAwPQAAcD0AAIg9AAAEPgAAQDwAAKg9AADoPQAA2L0AAHC9AACgvAAALL4AAKY-AACGPgAAPL4AANg9AADCPgAAXL4AAOA8AABQPQAAML0AALi9AAB_vwAAgLsAAHS-AABsPgAAyD0AAMg9AADgvAAAML0AAHw-AACYPQAA2L0AAMg9AACAuwAAqD0AAOA8AACYvQAAyL0AAJg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=qzf34178IUc","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16111252625974823978"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11637486791873276139":{"videoId":"11637486791873276139","docid":"34-1-9-Z6711D6CDE4E8FB42","description":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar |part 1 Dear students I am V. Kumar Today i teach you twelveth math chapter 5.1 part 2...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1345966/246b5dc4e87c89205aa29aea3d64243f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/CSUCEQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DagOkWBPwPNU","linkTemplate":"/video/preview/11637486791873276139?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 2","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=agOkWBPwPNU\",\"src\":\"serp\",\"rvb\":\"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_wH4_f0A_fr7AvMF_gD_BA30CAEAAP4I8wf8AAAA_-31CP39AAAK_PcFAwAAAAoOEgL6AAAACg8DAP4BAAD08f8BA_8AABAACPv_AAAA_Ab4_Pn-AAEMEP8CAQAAABMLAPsAAAAAIAAtrT7ROzgTQAlITlACKoQCEAAa8AF_AO8Cu_Tt_hHmygDjKP0An_sN_yIk9gDEIyQD2fL_ACQm-gG8-9z-7-UFAPEJFgBB-Pn_-tcBACvxAP8eEPUA_PcHAGXz9AAlDesB5_nqAOX9EP8R6QwAJgfwAQz_6AAACRf9-QQM_PLq6_8s4A8CEtwhBAYWBAIK8fT98Cn7Bv7jy__89wYG4_T1AN8EHQLz8_X-Ayv8AegCBQrt-8gEDwAH-Rj_0fz68PcM6P0B-_v9-vfy9uv57R0Y_vr89wME_BH7_v_8-hEn9wb38_QN-tUKBd_f9_fm-AAKBOAVARH8BQYBDAD52xUC_gkC8fogAC19nDA7OBNACUhhUAIqcxAAGmAY8wAwHz8W5QQE3_zb8y8L4-CnKNIG_xPw_wsOBtX7Cs2eQ97_8MHz6qAAAAAv4PzwBQDjf-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-AACgvAAADD4AAAw-AADovQAAH78AALK-AAC4PQAAyD0AABS-AAAUPgAA6D0AAHy-AACOvgAABD4AAIg9AABsPgAAvj4AAH8_AADIPQAAcL0AAIg9AABQPQAAmr4AAGQ-AAAMvgAALD4AAI4-AAD4PQAAVD4AAOC8AAAEvgAAiL0AANg9AADYPQAAgDsAAHS-AABEvgAADL4AAPi9AAAQPQAA-L0AAFS-AABwvQAAnj4AAHC9AAD4vQAAlr4AAAw-AABwvQAAxj4AALg9AAB0vgAAUL0AAC8_AABAPAAAiD0AAIK-AAAEvgAAED0AAIg9AAAEviAAOBNACUh8UAEqjwIQARqAAgAAPL4AAHA9AABAvAAAO78AAKi9AAC4vQAAfD4AAHy-AABwPQAA6D0AAHC9AAAUvgAAiL0AAAy-AAAEvgAAoDwAAIi9AAAzPwAAuL0AAM4-AACYPQAAZL4AABS-AABMvgAAED0AAOC8AAAwvQAAqD0AAKA8AAD4PQAAED0AABQ-AAAcvgAAgr4AAIg9AABQvQAA-D0AALi9AAB0vgAAEL0AACQ-AADYvQAAoLwAAKC8AAAcvgAAgLsAAH-_AAA8vgAA-L0AAIg9AADYPQAAiD0AAFS-AABwPQAABD4AAIg9AACovQAARD4AAEC8AAAkPgAABD4AACy-AAD4PQAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=agOkWBPwPNU","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11637486791873276139"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3183148747324434751":{"videoId":"3183148747324434751","docid":"34-4-7-Z430B56FF64F02D92","description":"This tutorial video is intended for College students who are taking Mathematics in the Modern World. #Mathematics #NatureOfMathematics #EduTech References: Aufman, et. al. 2013. Mathematical...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1538795/f490ece825cb1fe40ba15fcccf3a50c9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IbMJOgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DSj4Ke4r_W7w","linkTemplate":"/video/preview/3183148747324434751?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Nature OF Mathematics (Mathematics in the Modern World)","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Sj4Ke4r_W7w\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA9f8KCwIG_QH2AfgA-f7-APoG__UCBP4A-fYEAAsAAAD8BfX8AAAAAPj6-w___wAABALuBgIAAAAWBPz9AwAAAA0L_AP-AQAA9fgHAgMAAAAFDAgAAAAAAPsEBP0AAAAA_QgIBAAAAAABDvkBAAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABfwcNANrkLgPetNn_iucN_bYmO_9V_hP_uxQpAdTuuQEFJtsAvPVK_yb9Av-xBRoASfTC_1QQMwAe50r9Sif1APgA-QAf2tcASRgE_0Mc3P_730D93_PhABz6DgH-8Pr7MlkP-0cP3AIk7hECM-oP_Ckq1gTitQ3_IvPG_zHFBv5K_BD-_AgCBPH69wjL6SICrgkNAgEZA_nc8gL-Kf3iAg8UAf4a-Ov7MfzxCO4H-_kGBtz6AQYJAgcF7wL2IwH_ACPwDvDcAewN5RL9BcT1AQ7rBwn7I-cBB_fs_PbdE_sJNPrzvAgM78-_CAX3DfXvIAAtXNEAOzgTQAlIYVACKs8HEAAawAeHbNi-JF6DPePRujtzHC68g3Z9PfTspLvUZWG-3EzgO-z5Oj3usr89t7BTPVY1V704aYq-0Qw9PO2ufTyDULY-GvK0vK9VTDy5vJ69qTD4O9j-BL3DOZm8NawQO3NQHb1YwcQ9kZYPPUcagTwkK_88JUyHPO7MCT17_Hk9Vj9bvGD0qjs2RMC96O15vS5STTxl5Bw-hmKxvcJU0Lpsz8w9QjofvHeBVDt1Llu9Vt5EvBEGGT2XUle-n6PAOra_zjwEkiA-BpFaOiV0vLzJcQw9n38QvLpMjTxiMP-8bUA_vQuvCb3xsJq9UBUVu8UiwLpD8bk9zOFEPdxeFz1dkbO9jEIYPD41h7sbKps9WJ1GPd9ML7tkMDA90Sz_vOMQ1jxNXuy7WzZkPdODGTo4aD8-h9YvPPinNzs1u4m93LXGOq4DFLwFKi08RkEQPd3zVzxRM7-8xVZQPdFIuryyskc9JcsVur_NhzwLuOe9dlCJO1uEmLx8k6s9RgiPvYvb7DrxKZU9wcUKPUXQPbzTvgk-t-uKvdJGvzsDDJY9lVCwvFvkQ7xDyaS8ixw9veEKZjuSMvM8AEs4PV15Qbt96EK98Dscvf2N9zkCyIo9OIyNvRTHZLu3inQ9vH0xPOW8d7vzzIa98HrfPDiekbv1k3s994c3vVyzD7woNaq8tdTLPN7YATwMAxY9fQgqvPrUUrurqMu8b5jNvNVVOboYsgo-ZZ7DuxjRgjiLl109EAXTvSE6iLp0h0M9f2zxu8FU8bouwU682TIqvHMXGzsYVZA9eIsxPWDEEjmbMpw8OzClvLVuJLmbcPE7gEQ4vbbDaTiXH9i9WGYbPeorjLnFQmO8eN48Pah1w7hx0YS9fWnAvKYKWTm5RSo8sgLNvKRVSjrEAC48_g-wPES7rLf5n1s7_585vQ6GyjcB8qk6pmQUvePk2TgJNi68mpkJvoOLUzlleKa7AJQaPTZx0DgokEM9LdgcPZLofTj5Eiq8i4DUvFolWDgMKgA99gAnveRMd7gDzOE88d6MvSRKFDlMd7K8GvHuPLTnzTew4lQ9sldMu-XRhTigUM-9Fe-GPcLSAjjwlQ89SpaoPX840TgP2xE9IVTOPGKdTrcnGJm96JruvGYlBTkNnqM9TsjYvHYfv7hy5z09QHWivTkRRbg-PHC85-M5O3hmpDYIvMA7_itrvZErmLeGECE9XHfTvd7zm7ejf_q7MSQXPoz9ULcnESE9XjhmPbbjq7hI1JW8Ip72vLT4ALgoNaq8M9wgvRWSTDYgADgTQAlIbVABKnMQABpgEPsAQPka7-ULFuLiwM33Au8Elxzb2__4AP_aB_f1Hzbr2QwZAAvCEfOyAAAAEQAY5wsA2WnR0cwrBR0F9MwBHQF_3g8J4TEcK74Z_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-EEAAIrCAAAgwQAAsEEAALBBAAAwwQAAUEEAACTCAACwwQAAgD8AANhBAACMQgAAcEEAANBBAADAwQAAmMEAAIC_AACqwgAAgD8AAIDCAACAQQAAIEIAAIzCAABgQgAAYEIAAKBAAAAAwgAAHMIAAADDAACYwQAA4MAAAKxCAAAQwQAA0MEAALhBAAA8QgAATMIAAJRCAACAPwAAhEIAACDBAACeQgAAGEIAABBBAACgwAAARMIAAEhCAACIwgAABMIAAGBBAAA8wgAAREIAAGDCAACowQAACMIAAABBAAAAwAAA6MEAAOBAAACOQgAAgMEAAIjBAACgwQAAqEEAAABCAACIwQAAUMEAAKjCAABgwQAAJEIAAIDAAABwwgAAAAAAAABAAAAgQQAAMEIAAATCAAC4QQAAQMAAAJBBAACQQQAAnMIAANjBAACIwQAAgMIAAHxCAACSwgAAwEAAANrCAAAUQiAAOBNACUh1UAEqjwIQABqAAgAAHL4AAAQ-AAAQPQAAkj4AABw-AACoPQAAEL0AAD2_AADqvgAATD4AANi9AADqvgAA-D0AAOg9AADYvQAABL4AAGw-AADYPQAAVD4AAAU_AABFPwAAhr4AAAw-AADYvQAAHL4AAPK-AACSPgAA5r4AAAQ-AAAsPgAAvj4AAEA8AABwPQAAuL0AAJ6-AACAOwAAyL0AALa-AAC-vgAAdL4AAFS-AACivgAAVD4AAIK-AABQvQAAXL4AADw-AAANvwAAUL0AALK-AAA8vgAAqr4AADQ-AADIPQAA2D0AAEC8AAB_PwAAoLwAAFC9AACAOwAATL4AAMg9AAAQPQAAuL0gADgTQAlIfFABKo8CEAEagAIAALq-AABQvQAALL4AACG_AACIPQAAUL0AAHw-AACgvAAAmD0AAEC8AAC4vQAABL4AAKC8AAAEvgAAuL0AAIA7AACoPQAABz8AAFS-AACWPgAAgLsAAOg9AACovQAAmL0AAOg9AABQPQAAuD0AAJg9AACAOwAAgLsAAOg9AADoPQAA-L0AAEC8AACgvAAAHL4AACQ-AAAEPgAAZL4AADA9AACSPgAATL4AAKg9AADgPAAAiL0AAES-AAB_vwAAqD0AAFy-AAAsPgAARD4AAHA9AADgPAAAgDsAAOg9AABQPQAAUL0AAFQ-AADgvAAAQLwAADC9AABcvgAAiL0AAIg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Sj4Ke4r_W7w","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3183148747324434751"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4748624253105392545":{"videoId":"4748624253105392545","docid":"34-1-7-Z303AE82D754B3FB9","description":"Class 12th(twelveth) BSEB math exercise 5.2 mathematics world by V. Kumar |part 1 Dear students I am V. Kumar Today i teach you twelveth math chapter 5.1 part 1...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4044084/9e08b1d4a9db43553f3db83699cc4720/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/dXV8EAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3EXJYabHTBU","linkTemplate":"/video/preview/4748624253105392545?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Class 12th(twelveth) BSEB math exercise 5.2 | mathematics world by V. Kumar | part 1","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3EXJYabHTBU\",\"src\":\"serp\",\"rvb\":\"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_Pb-Af8A9AkPCgUG_AH5A_8B-P39APAB_wX2AQAA_wQN9AgBAAD-CPMH_AAAAPby_Qn3_wEACvz3BQMAAAAJDQb7-QAAAA0H__r-AQAA9PH_AQP_AAAU9g_9_wAAAPwG-Pz5_gABCRcG_gAAAAATCwD7AAAAACAALYVB0Ts4E0AJSE5QAiqEAhAAGvABfwTq_8UJ3wDYBMoA1Q3oAa8MG__9MtQA3AsjANHd7AApLPkB0frJ_xbwEAHfPw__OgPz_wDc9gAy7gD_Mw0K_8XzFQBM4w0BPg3vAADvAwC1CyH-AwHwAvbb0_8dGMcA-_wSAPoAAP3uA8QCMu8fAhD3EgQNAxUB8vTzAe4w-wft3tr--_YHB_3WFwDIDBAC_gkNAh0vFgD9-_oH5gLcAirY-QMnAuYC__36A9P7Bwjf7O8FCBDoA_z5Fwr82Oz4Fxgc_PrXBQIiKAr42P8LAs3--f7L6AAB5eMRABnUEPP58vfx-f8AA-sB_P0A9_P9IAAtrqMZOzgTQAlIYVACKnMQABpgFekALQ5GFeUA-OkE3eYk8uXtuCnWDP_8-_8JEQDn_w7MpzPbAP-8DdmhAAAANtwJ6fwAyH_n38IlwwMmu7n_Eexr8EbisgAwDMdC9s3oIBQP1RQuAPj3kEchEbcjCT7-IAAtobwbOzgTQAlIb1ACKq8GEAwaoAYAAABBAAAAQAAAbEIAAHDBAABAQQAA0EEAACRCAADAQAAANMIAAFBBAAAAQAAALEIAAITCAABAQAAA0EEAAMBAAABQwQAAOMIAAFRCAAAwwgAAmEEAAEDCAABMwgAAAMEAAOBBAABwwQAAhsIAAAAAAADgQAAA-EEAAPjBAACYQQAAqMEAACRCAAAEwgAAmEEAAJhBAACOQgAAEMIAALBBAADgQAAAMMIAAIC_AAAgwgAAqMEAAMhBAABQwQAAYEEAAIBBAACwwQAAAMIAAPDBAADgwAAAKEIAAEDAAAAMQgAA6MEAANhBAAAoQgAACEIAACRCAACgwQAADMIAAI7CAAAYQgAAJEIAAIBCAAAgwQAAqMIAABDBAACKQgAAmEEAABzCAAC4QgAA4MAAAAAAAAD4wQAAbMIAAIC_AAC4QQAAPMIAAIBCAAAMQgAAIEIAAJDBAAAwQQAAAMAAADDBAADAwAAAiMEAAEjCAADYQQAA0MEAAIA_AACgwgAAgMEAACBCAAAsQgAAeEIAABBBAADAwQAAUEEAAGBCAACOwgAAzsIAAFhCAABwwQAAJEIAAOjBAACAwAAAgL8AAIA_AACcwgAAkMEAAI5CAABUQgAAyMEAALTCAADowQAALMIAANjBAAB0wgAAaEIAAIjCAAAIQgAAVEIAAADAAADgwAAAjMIAAFjCAACYwQAAUMEAAIA_AACYQgAAgEAAABRCAABIwgAAIMEAAEDCAACWwgAADEIAAABCAAAUwgAAuEEAAOBAAADQwQAAYEEAADDBAACgwQAAqEEAAMBBAABIQgAAUEEAAFjCAACAQQAAUMEAAJBBAADEwgAAsMEAAFhCAADAQAAAVEIAAPBBAACowQAACEIAAEDBAAAkQgAA2MEAAFBCAACQQQAAmsIAAIBAAABAwQAAGMIAALjBAABQQgAA2MEAAJjCAACgQQAAdEIAAKjBAADQwQAAsMEAAODAAACoQQAA4MEAANrCAACAwAAAgEAAABBBAACAwgAAwEEAAGBBAAAgQQAAmEIAAIBCAACawgAAeEIAAAjCAAAAwCAAOBNACUh1UAEqjwIQABqAAgAAEL0AACy-AAB0PgAA4LwAABw-AABcPgAABL4AACm_AACqvgAA-D0AANg9AAAMvgAABD4AAKg9AACWvgAAbL4AADQ-AABAPAAAmj4AAMI-AAB_PwAAyD0AAFC9AADoPQAA4LwAAJq-AABcPgAATL4AACQ-AACmPgAAFD4AAEw-AABQvQAARL4AAKi9AAC4PQAAuD0AAOA8AABsvgAALL4AAAS-AAAEvgAAqD0AABC9AACavgAA4LwAAKI-AAA0vgAANL4AAJq-AAAEPgAANL4AAMI-AABQPQAAPL4AADC9AAAxPwAAgLsAAOC8AAB0vgAADL4AAMg9AABwPQAALL4gADgTQAlIfFABKo8CEAEagAIAAHy-AACgPAAAQLwAADe_AABQvQAAmL0AAGQ-AABsvgAAiD0AALg9AABwvQAAFL4AAHC9AAAkvgAA2L0AAOA8AACAOwAAKT8AAOC8AADaPgAA2D0AAPi9AAAUvgAANL4AAFA9AABAPAAAQDwAAKg9AACAuwAAFD4AAFA9AAAcPgAADL4AAHS-AACoPQAAcL0AANg9AABAvAAAhr4AAHA9AAA8PgAABL4AADA9AACAuwAADL4AADC9AAB_vwAADL4AABy-AAC4PQAA6D0AAKA8AABEvgAAED0AAFw-AACIPQAAcL0AACw-AABwvQAA2D0AALg9AAAkvgAA-D0AABA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=3EXJYabHTBU","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4748624253105392545"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6503072429805140772":{"videoId":"6503072429805140772","docid":"34-6-0-ZD0B1DC7A9E1A4F44","description":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar |part 1 Dear students I am V. Kumar Today i teach you twelveth math chapter 5.1 part 1...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3309968/b46a65ace02952134d7e13798ae76dc7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zjcZEQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWpO5Bl0VYDY","linkTemplate":"/video/preview/6503072429805140772?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 1","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WpO5Bl0VYDY\",\"src\":\"serp\",\"rvb\":\"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-gL-AQAA9AkPCgUG_AH5A_8B-P39APL9AfX1AQAA_wQN9AgBAAD-CPMH_AAAAPby_Qn3_wEACvz3BQMAAAAKDhIC-gAAAAoPAwD-AQAA9PH_AQP_AAAQAAj7_wAAAPwG-Pz5_gABChoBDAAAAAATCwD7AAAAACAALa0-0Ts4E0AJSE5QAiqEAhAAGvABfxbvA8H9Af4R58wA5Cf-AKcD9QAj_94AuxARAeDy3wAuE_QB1AHj_wjz8f_xHwr_EQD5_wrt_wAd9QP_OgzrANUDBABj9PQAJAj4AOf66gDWBBf__eoBABz_5QAWC-r--hAj_voSBfz_6tQAP9HlAwTeDgEZH_sCJQL3AOsRDQIp19wBBwYOBvX8-QbR_xkB-fLo_fIwFfvP9QQE9vDb_xjuDvUhAuoC-vH3DP_1A_0B6OwFAvTi_Nz2DP0R_-_9DQEL_wT5CQcTEf8C7PwNBg3lGQLb_QAEAu4PCQnlCfwFzfUM-wUI9-f2_QsMEffzIAAtnXU1OzgTQAlIYVACKnMQABpgIfcAMyJGJdUGCOz13-ktDubpsyzDCv8Q____GQLcAhXHokTp__a-8OOfAAAAFd8E7AEA2H_11Ks0zQAcxrUfDAl56jjOr_kq_Kwm0en5IRkJuwYrAPH7jjwNGsohIDnxIAAtDIIWOzgTQAlIb1ACKq8GEAwaoAYAAEDAAAAAQQAAXEIAAMhBAAAAwQAAuEEAAOBBAAAgwQAAdMIAAEDAAADYQQAAwEEAADTCAACQwQAAqEEAAIA_AAC4wQAA-MEAACRCAABgwgAAiEEAAATCAAAowgAAQMEAAEBCAAAEQgAAJMIAAABBAAAAQQAAgEAAAMDBAAD4QQAA4MEAAKRCAAAwwgAAOEIAAIA_AACcQgAANMIAAABAAADAwQAARMIAANjBAACAwAAAcMIAAAAAAAAAAAAAIEEAAIBAAAAkwgAAisIAAADAAAAAQAAATEIAADDBAABwQQAA2MEAAKhBAAAMQgAAdEIAAAAAAADAwQAAQMEAACTCAACoQQAAkkIAAPhBAACAPwAAhMIAACDBAACeQgAAcEEAAGDCAADqQgAAuMEAAAAAAADIwQAARMIAAIC_AACIwQAAlsIAAKZCAAAYQgAAHEIAACDBAAC4QQAAsMEAAEDBAACIwQAAEMIAANDBAACgQQAAIMEAAKBAAABUwgAAwMAAAMBCAADYQQAAIEIAAIA_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-AABkPgAAEL0AABQ-AAA0PgAA6L0AABu_AACyvgAAqD0AAEA8AAAEvgAAHD4AAFA9AACOvgAATL4AAOg9AABQPQAAPD4AALI-AAB_PwAA6D0AAIA7AABQPQAAUD0AAK6-AACKPgAA6L0AALg9AACWPgAAFD4AAGw-AAC4vQAADL4AAOi9AACoPQAAHD4AAFC9AACGvgAAgr4AABS-AABEvgAA6D0AALi9AABkvgAAML0AAHw-AADovQAAVL4AAKK-AAAEPgAA6L0AAK4-AAAQPQAAhr4AAHC9AAA9PwAAML0AAKg9AABsvgAAmL0AANg9AABQPQAAdL4gADgTQAlIfFABKo8CEAEagAIAADS-AAC4PQAAQLwAADO_AABQvQAAUL0AAIY-AABsvgAAcD0AAMg9AAC4vQAALL4AAKi9AAAsvgAAyL0AAEA8AABQvQAAKz8AAJi9AADWPgAAmD0AADS-AAAcvgAANL4AADA9AAAQvQAAEL0AAJg9AABAPAAAyD0AAOA8AAAEPgAA-L0AAFS-AABQPQAAqL0AAAQ-AACYvQAAfL4AAIC7AAAUPgAAmL0AABA9AACgvAAALL4AAIA7AAB_vwAALL4AAPi9AADIPQAAuD0AAHA9AABEvgAAUD0AABw-AABwPQAAmL0AABQ-AAAQvQAALD4AALg9AAAcvgAA-D0AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=WpO5Bl0VYDY","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6503072429805140772"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7622747873029103427":{"videoId":"7622747873029103427","docid":"34-1-9-Z31EBF9F5BADA6D34","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1674165/25772b5d951c693df38c11243683de5e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zq1x6QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNVRF_9tb__o","linkTemplate":"/video/preview/7622747873029103427?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math in the Modern World Module 1 - Nature of Mathematics","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NVRF_9tb__o\",\"src\":\"serp\",\"rvb\":\"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_gIA9f4KDAIG_AEG9QD6-P7-AO0E_PgFAAAAAPf-DAgAAAADBO0ABgAAAAD78g34_gAADQL4EAIAAAAXBPz9AwAAAA4M_AP-AQAA6_cC_wMAAAAGDQkA_wAAAAQF_____wAABw0LCgAAAAAEDfcMAP8AACAALbqI1Ts4E0AJSE5QAiqEAhAAGvABcfr_AbbxBPw6APD_DP_gAYEFC_81COgAw_8AAM4C6QADGOgA-PYFAPcN8wDV-SX_AOny_ysCEwAW-RUANPr0APAWEwA25_MBFQkA__EABP_lCxX_BfITAA3v_QAE_vYAEQAO__gX5gH--t_-B_0NBAoGIAMLCf0AAAEM_QIa_wQn_f4F7PvoAfYi9gDp-CMFCg3k_xQT-AbrD_0EHBLz-vAM-gIKDt0AGwr6BAj7FfgB8gD4Bgj2-xAFDgT0LgP68QEF_O7u_wLxGQcDHdkA_vboAgH4AwAG6RL7DQrXCAP57gEA7x0H9O70BP4A-fb-IAAtbidIOzgTQAlIYVACKs8HEAAawAesOAm_uhXdPL9FBrw8ZuA8tZLvO1Ihgzyht9G48KdGPEsoM7zSELw77FxiPQNUgrwUz-G-wa37vNXnCr3FVYU-VDBvvZt_KryG4wm-3yD1PKwBKr0UB1C-k3Z-PIqaHr1ssPA8CmuhOw7Zo7qVels9Kp8XOv7Btjxviwi9Q0cHuiPYGL1Rlmu8gXSmvZtz0ztTlww-Doa6vE97pTzTTu09dUANvZ1pHb1rcxC8tlfVPH2wDjzejwu-L7_Xu5aZLTxzCLE9QL3ZvIXDnDx4ADW9V6fzOsWC77vAiTK8vQiJPMFwDbzTmSW9Fzl6PFuoRry8Wm49t4u8OnblrztdkbO9jEIYPD41h7tmMGY9C8qZPfOBk7yy5J47DKTVPIVN0zzNYTI9ZVFYPPtOXbw4aD8-h9YvPPinNztvyqa8WWKvPGKspTya0oU9Ny8TPUELCTz9H3Y9IvhEPcvydbxBWWI97RsOPReVXLu7fGu9g8NmPCB7nDuIlZs83mCgu5Z9UzvzvVA9ImsRPNZufTv6ARk9s1Y5veX5Y7vqTas9ScOEuiSm2btmsgk988IEOmW3oDxRIog98O89Pd3JjLyqpY-9YHlrvLPsSbwCyIo9OIyNvRTHZLsWrKe8l7WDPKjYIDnFpwW9as_6uu4Mjbs5LZO8FYCQu-Bi6rtdFQ29S92fvEE78TthggQ9-qX0PCD7rLuhkik9QKAUPONqiTsocQc9BlTNOp8xXbtfVx09MIH7vXa-OLco4H86NHaDPX_jpboeXgY9sKP7vGggvDmix1Y7uM2kPXEZwjgGO9E7yTwSPdKXXThx3PM7IvwLvRAv2zgdPsQ8KlgjPXYxE7u8Uwa9dhx4OsvE9jnKkm-8-O2YOpWByDcVcA-93YIAvZU_bLktPR48OUlOvCHoc7jCouI8BrigvB6xJLg_bmQ8vlgtuzd9gzjy8o-87taNvf4cNzjvGMM85AYuO2u9xDg71lY8KWB2vclQULgEa4E8rQx0vLGKAzgHQJE9jePRvH4gVDjPxgU93EygPIf2J7idDkc7d58DvkPejLenbY08aNxFPeD2xrg8Xz29HKwkPZIT5jhZxbY8TtywPRD8mDlMkkI93ZgeunFMBzhqaAO9en1XvRqV_zfrhGE9KxjVvDyT8biGC688QyY0vVrcUbgq_SW742bdvKAZyTZBQtY7fPa3vG5PmLdhBnk98zoSvkvnqbjK9HA9IuErPvHLijiVXys8z7yMPcX8Brmpo2O89Ssduy8tqDYLMU28rSHnvIMYyzcgADgTQAlIbVABKnMQABpgDA0AOQsj7tsaFObV0dkO_wQT0Rnj5gD3AgDlDPkPECTrwwUU_xHJD-a-AAAAEAYKARQA21rav9csCiQM9cgBDBV_BhoV2xL68bntAd_m_icY8wg8ABPvsQodFesuHTUWIAAte5RGOzgTQAlIb1ACKq8GEAwaoAYAACRCAACgwAAAwMEAAODAAABwwQAAAMAAAJxCAACAvwAAmMEAAGBBAACYQQAAgsIAANjBAACYwQAAmEIAAIjBAAB0QgAAcMEAAFDCAABAQAAAsEEAADjCAAC4wQAA2EEAAEDAAADgQAAAdMIAAAAAAAB4QgAALEIAABjCAABwwQAAaMIAAAxCAABgwgAAkEEAAGBCAAA8QgAAiMEAAPBBAACgQAAAOEIAALZCAAAAAAAAEEEAAADCAACQwQAAgL8AADRCAAAUQgAAMEEAAEDBAACgQQAAIEIAAABCAABwQQAA6MIAAIDAAAAAwgAAjkIAAIA_AACCwgAAHMIAAHjCAADAwQAAMMEAAABAAADAwQAAwEAAAMDAAAAgQgAAOEIAAHBBAACAQQAAuMEAAMbCAACgwQAA4MAAAEBBAACQQQAAGMIAAAxCAADIwQAAWEIAANjBAACgQQAAgEAAAAhCAAAwwQAAIMIAANBBAABAQQAA4MEAAADDAADwQQAAQMEAAIjBAADwQQAAwMAAAARCAAA4wgAAaEIAAKBCAAAcwgAADMIAAFDBAAB4wgAAEEIAAFTCAABQQgAAyEEAAAjCAACAQQAAEMIAAABBAACAvwAADMIAALzCAACQQQAA6MEAAIC_AACIwQAA6MEAAADCAABwQQAA6EEAAIrCAACAwQAAUMIAAFDBAAAgQQAA6EEAABDCAACaQgAAIMIAABBCAACgQAAAAAAAAMjBAADgwgAAFMIAAGxCAADYQQAAgMAAAOBAAADwQQAAhsIAACBCAABAwAAAgMAAAETCAADoQQAAwEEAADTCAAAIwgAAiEEAACDBAACOwgAAVMIAAABCAAA0wgAAgMEAAEDCAAAEQgAAMEEAABBCAABwQgAAUEEAAEBBAACQQQAATMIAALBBAADgwAAAsEEAAEDBAABQwQAAHMIAAIC_AABAQgAAkkIAALjBAABswgAA4MAAAKBBAACKQgAAmMEAAEDCAACSQgAAEMEAAJhBAADYQQAAKMIAAKBAAADYwQAAEMIAAMhCAABMwgAAyEEAAKTCAABwwiAAOBNACUh1UAEqjwIQABqAAgAAiD0AAEC8AAAEPgAARD4AAMg9AACAOwAAHL4AAD2_AADavgAAXD4AAJ6-AAD-vgAAoLwAAAQ-AABcvgAABL4AAGQ-AACYPQAAkj4AABE_AAB_PwAAcL0AAFw-AAD4vQAA4LwAANq-AACyPgAAqr4AAI4-AACGPgAAZD4AADC9AAB0PgAAcD0AADS-AADIPQAAyL0AAMK-AACmvgAAgr4AAFS-AACSvgAAPD4AAKa-AAAMvgAATL4AALg9AACavgAABL4AAMa-AABAvAAANL4AAAw-AAAkPgAAyL0AAIi9AAB7PwAAPL4AALi9AAAUvgAAgr4AACw-AAAMPgAApr4gADgTQAlIfFABKo8CEAEagAIAAJK-AABQvQAA2L0AABW_AABQPQAAEL0AAIo-AABAvAAAiD0AAKC8AAAEvgAAmL0AAJi9AAAsvgAAML0AAIC7AAAQPQAA4j4AAHS-AAC6PgAAML0AAHA9AABcvgAAUL0AAMg9AACovQAABD4AABA9AABAvAAAoDwAAHA9AAAsPgAAPL4AADA9AAAwvQAAiL0AAII-AAA8PgAAir4AANg9AAAEPgAAjr4AAHA9AAC4PQAAQLwAAAy-AAB_vwAAuD0AAGy-AAAkPgAAiD0AABA9AAC4PQAAiL0AAEC8AABwPQAAEL0AAOg9AABQPQAA6D0AAHC9AAAcvgAAUL0AABw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=NVRF_9tb__o","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1800,"cheight":1080,"cratio":1.66666,"dups":["7622747873029103427"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15327290998001026799":{"videoId":"15327290998001026799","docid":"34-11-17-Z7972C68447DD9BD4","description":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar |part 3 Dear students I am V. Kumar Today i teach you twelveth math chapter 5.1 part 3...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4306860/43d3edb15f0256e2821b4040a7ca8ea8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QDedFAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DUer1bLq10i0","linkTemplate":"/video/preview/15327290998001026799?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 3","related_orig_text":"Mathematics World by murali master","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics World by murali master\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Uer1bLq10i0\",\"src\":\"serp\",\"rvb\":\"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__j4_v4A8v0B9fUBAAD_BA30CAEAAP4I8wf8AAAA9vL9Cff_AQAM9_f9AwAAAA0IBwP8AAAADAoI9_8BAADz5wQJA_8AABAACPv_AAAA_Ab4_Pn-AAEKGgEMAAAAAAcLAvwAAAAAIAAtrT7ROzgTQAlITlACKoQCEAAa8AF_6NEAy_zl_9sR3wATIc0CrQwb_ygq9QDYFhMAzf_sAUMMBAHJ-fH_4-8IAN5BD_8eCff_BPkO_ynXDf8VAg0AuAcPAVzn5AAqJOEB8QTa_54dCP4DAe8C4OTl_zT35P3-5xb_-Rf3A9n01QAh0wb_Fvz-CvIaIgLkB_P_0Tsh_f7ewv_q7A4I8N7_-tkEIgIE_vz7MkANAef-4ATV7fEDIPQa_Ss11v8JCgMO1u_2B-oT6wMlBf4JHvkjBvzN1QQi_vzw7eUS-QYgCPDoBA72DO4GCOcBAv_l4hIAF-sb-gHp-AwpIAP7_RoG-xsA7-4gAC3SlxY7OBNACUhhUAIqcxAAGmAS5wA8Iz4SzwAD7AbK6C372-W6KeME__ju_wYTANkLE9C2S-X_-scf5KAAAAAr2AHl9ADKf_DMvR_XGSmnv_ss-17sSdO39iMEwzr22-4YIAbM_SsA9-yONhkHyCAXPOEgAC3drxs7OBNACUhvUAIqrwYQDBqgBgAAwMAAAAAAAABYQgAAAEEAAOBAAABQQQAAmEEAAHBBAABcwgAAgMAAAMhBAAD4QQAAaMIAAADAAACQQQAAIEEAAKDAAADgwQAATEIAAAjCAACgQQAAyMEAAKDCAADgwAAA-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-AACYPQAAXD4AADQ-AAAcvgAAJ78AAL6-AABQPQAAED0AAKi9AABcPgAA2D0AAEy-AAB8vgAAyD0AALg9AAAkPgAArj4AAH8_AAAEPgAAgDsAADA9AACIPQAAur4AAGw-AAA8vgAA2D0AAHQ-AAAkPgAAXD4AAFC9AAA0vgAABL4AANg9AACoPQAAcL0AAJ6-AABMvgAAJL4AALi9AABwPQAA-L0AAGS-AACgvAAAmj4AALi9AAAEvgAAqr4AANg9AADovQAArj4AAJg9AACmvgAAiL0AAEE_AACAOwAAyD0AAEy-AAAEvgAAgLsAADA9AABMviAAOBNACUh8UAEqjwIQARqAAgAAVL4AAFA9AACgvAAAOb8AALi9AADIvQAAgj4AAIa-AAAQPQAABD4AADC9AABMvgAAUL0AAFS-AAAcvgAAED0AAKC8AAAzPwAAgDsAANI-AAAEPgAABL4AABS-AAA0vgAA4DwAAIA7AABAPAAAqD0AAIA7AADYPQAAUD0AAAw-AAAMvgAAlr4AAIA7AACYvQAAcD0AAIi9AACGvgAAED0AACw-AACYvQAAED0AAFC9AAAEvgAAED0AAH-_AAB0vgAABL4AAFA9AAD4PQAAED0AAFy-AACgPAAAVD4AAFA9AACovQAAfD4AAKi9AAAEPgAAuD0AAES-AADoPQAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Uer1bLq10i0","parent-reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15327290998001026799"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"17718059883686195518":{"videoId":"17718059883686195518","title":"Arithmetic Progression Part-3|\u0007[Mathematics\u0007] \u0007[World\u0007] \u0007[by\u0007] \u0007[murali\u0007] \u0007[master\u0007]","cleanTitle":"Arithmetic Progression Part-3|Mathematics World by murali master","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=2COqBCXfZ54","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2COqBCXfZ54?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":"d3d3LnlvdXR1YmUuY29tO1VDY3dUdnRtWmk4NkZyZWhicndUU2E5QQ==","name":"Mathematics World by murali master","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+World+by+murali+master","origUrl":"https://www.youtube.com/channel/UCcwTvtmZi86FrehbrwTSa9A","a11yText":"Mathematics World by murali master. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":475,"text":"7:55","a11yText":"Süre 7 dakika 55 saniye","shortText":"7 dk."},"date":"30 tem 2020","modifyTime":1596067200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2COqBCXfZ54?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2COqBCXfZ54","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":475},"parentClipId":"17718059883686195518","href":"/preview/17718059883686195518?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/17718059883686195518?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5083908726528682635":{"videoId":"5083908726528682635","title":"\u0007[Maths\u0007] \u0007[world\u0007] \u0007[by\u0007] rida | Class 10 | Chapter 3 | Exercise 3.7","cleanTitle":"Maths world by rida | Class 10 | Chapter 3 | Exercise 3.7","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=wR4GOlbUzjI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/wR4GOlbUzjI?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":"d3d3LnlvdXR1YmUuY29tO1VDTkJCQUNybVBVTkJTY0I1eWRPemROUQ==","name":"Quiziology","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Quiziology","origUrl":"http://www.youtube.com/@Quiziology-i5y","a11yText":"Quiziology. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":615,"text":"10:15","a11yText":"Süre 10 dakika 15 saniye","shortText":"10 dk."},"date":"18 kas 2023","modifyTime":1700265600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/wR4GOlbUzjI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=wR4GOlbUzjI","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":615},"parentClipId":"5083908726528682635","href":"/preview/5083908726528682635?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/5083908726528682635?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15288269157172824122":{"videoId":"15288269157172824122","title":"Exercise 3.3||Lograthim ||class 9th \u0007[Mathematics\u0007] ||by \u0007[Mathematics\u0007] \u0007[World\u0007]","cleanTitle":"Exercise 3.3||Lograthim ||class 9th Mathematics ||by Mathematics World","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iCGYOGDrPNM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iCGYOGDrPNM?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":"d3d3LnlvdXR1YmUuY29tO1VDMlMtVU9ScldYZjNvRG11SlJUVkUyUQ==","name":"Every Thing","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Every+Thing","origUrl":"http://www.youtube.com/@EveryThing-rf2nj","a11yText":"Every Thing. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":462,"text":"7:42","a11yText":"Süre 7 dakika 42 saniye","shortText":"7 dk."},"date":"23 tem 2020","modifyTime":1595462400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iCGYOGDrPNM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iCGYOGDrPNM","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":462},"parentClipId":"15288269157172824122","href":"/preview/15288269157172824122?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/15288269157172824122?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"941785173953605522":{"videoId":"941785173953605522","title":"21) Absolute Value - \u0007[Math\u0007]+ Test | TYT \u0007[Mathematics\u0007] \u0007[World\u0007] | Volkan Önder - 2026","cleanTitle":"21) Absolute Value - Math+ Test | TYT Mathematics World | Volkan Önder - 2026","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=oNQQqtb0SMw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/oNQQqtb0SMw?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":"d3d3LnlvdXR1YmUuY29tO1VDUmF3U2I0N215SG9SVTc0X2dDWGlxZw==","name":"Retro Yayıncılık","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Retro+Yay%C4%B1nc%C4%B1l%C4%B1k","origUrl":"http://www.youtube.com/@retrokitap","a11yText":"Retro Yayıncılık. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2327,"text":"38:47","a11yText":"Süre 38 dakika 47 saniye","shortText":"38 dk."},"date":"13 kas 2025","modifyTime":1763039444000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/oNQQqtb0SMw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=oNQQqtb0SMw","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":2327},"parentClipId":"941785173953605522","href":"/preview/941785173953605522?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/941785173953605522?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18278002593478409128":{"videoId":"18278002593478409128","title":"\u0007[Mathematical\u0007] Wonders of the \u0007[World\u0007] | \u0007[Math\u0007] Magic - CBSE","cleanTitle":"Mathematical Wonders of the World | Math Magic - CBSE","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=z_UmhMa5giM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/z_UmhMa5giM?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":"d3d3LnlvdXR1YmUuY29tO1VDWmdXNjlGcG90ZUJvZzU4QUZuLVppUQ==","name":"Math Magic - CBSE","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+Magic+-+CBSE","origUrl":"http://www.youtube.com/@MathMagics","a11yText":"Math Magic - CBSE. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":222,"text":"3:42","a11yText":"Süre 3 dakika 42 saniye","shortText":"3 dk."},"date":"6 oca 2021","modifyTime":1609934124000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/z_UmhMa5giM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=z_UmhMa5giM","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":222},"parentClipId":"18278002593478409128","href":"/preview/18278002593478409128?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/18278002593478409128?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6412172145409622253":{"videoId":"6412172145409622253","title":"Matrices Part -2\\\\ \u0007[Mathematics\u0007] \u0007[World\u0007]","cleanTitle":"Matrices Part -2\\\\ Mathematics World","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0DgVpNsPwAI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0DgVpNsPwAI?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":"d3d3LnlvdXR1YmUuY29tO1VDODRGdDdOUkthQ1R1aXlpaTlTYUVzdw==","name":"Swali Vishal","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Swali+Vishal","origUrl":"http://www.youtube.com/@swalivishal4693","a11yText":"Swali Vishal. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1202,"text":"20:02","a11yText":"Süre 20 dakika 2 saniye","shortText":"20 dk."},"date":"25 mar 2020","modifyTime":1585119600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0DgVpNsPwAI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0DgVpNsPwAI","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":1202},"parentClipId":"6412172145409622253","href":"/preview/6412172145409622253?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/6412172145409622253?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15488449806532643033":{"videoId":"15488449806532643033","title":"\u0007[Mathematics\u0007] \u0007[world\u0007] \u0007[By\u0007] V.kumar class12th Bseb Ncert Hindi medium exercise 5.5","cleanTitle":"Mathematics world By V.kumar class12th Bseb Ncert Hindi medium exercise 5.5","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ANf8Ty0aUnE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ANf8Ty0aUnE?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":"d3d3LnlvdXR1YmUuY29tO1VDdFN5R0VHVlJEZS1qWWh2Q0Y3V0VUdw==","name":"Mathematics world","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+world","origUrl":"http://www.youtube.com/@mathematicsworld139","a11yText":"Mathematics world. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2105,"text":"35:05","a11yText":"Süre 35 dakika 5 saniye","shortText":"35 dk."},"date":"11 mayıs 2020","modifyTime":1589155200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ANf8Ty0aUnE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ANf8Ty0aUnE","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":2105},"parentClipId":"15488449806532643033","href":"/preview/15488449806532643033?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/15488449806532643033?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13314008409659750622":{"videoId":"13314008409659750622","title":"\u0007[World\u0007] \u0007[Mathematics\u0007] Academy for ages 15-18 | Carl''s Testimonial","cleanTitle":"World Mathematics Academy for ages 15-18 | Carl''s Testimonial","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=k-RRmg5vV9E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/k-RRmg5vV9E?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":"d3d3LnlvdXR1YmUuY29tO1VDSXpGUmJCb3lFRVMtZk5sTnhqV2JrUQ==","name":"World Scholars Academy","isVerified":false,"subscribersCount":0,"url":"/video/search?text=World+Scholars+Academy","origUrl":"http://www.youtube.com/@worldscholarsacademy","a11yText":"World Scholars Academy. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":50,"text":"00:50","a11yText":"Süre 50 saniye","shortText":""},"date":"17 eyl 2022","modifyTime":1663372800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/k-RRmg5vV9E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=k-RRmg5vV9E","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":50},"parentClipId":"13314008409659750622","href":"/preview/13314008409659750622?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/13314008409659750622?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8735339330492302606":{"videoId":"8735339330492302606","title":"\u0007[Mathematics\u0007] in our \u0007[World\u0007]: \u0007[Mathematics\u0007] in the modern \u0007[world\u0007] (Patterns and Sequence) - ...","cleanTitle":"Mathematics in our World: Mathematics in the modern world (Patterns and Sequence) - Tagalized","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=dz2fNe4uBTE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dz2fNe4uBTE?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":"d3d3LnlvdXR1YmUuY29tO1VDNVNobHVsQk11MUtTREdYQWFpRGJCdw==","name":"Math Kul3t","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+Kul3t","origUrl":"http://www.youtube.com/@mathkul3t","a11yText":"Math Kul3t. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":951,"text":"15:51","a11yText":"Süre 15 dakika 51 saniye","shortText":"15 dk."},"views":{"text":"18bin","a11yText":"18 bin izleme"},"date":"8 eyl 2020","modifyTime":1599523200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/dz2fNe4uBTE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dz2fNe4uBTE","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":951},"parentClipId":"8735339330492302606","href":"/preview/8735339330492302606?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/8735339330492302606?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6670707125207160680":{"videoId":"6670707125207160680","title":"5 Steps you NEED to \u0007[Master\u0007] Your Real \u0007[World\u0007] Problem Solving With \u0007[Math\u0007] | Part 1","cleanTitle":"5 Steps you NEED to Master Your Real World Problem Solving With Math | Part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XKgycGkKxm0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XKgycGkKxm0?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":"d3d3LnlvdXR1YmUuY29tO1VDSW5SM1JKNkprSWYtX2RlMkg2TEhmdw==","name":"Math The World","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+The+World","origUrl":"http://www.youtube.com/@MathTheWorld","a11yText":"Math The World. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":421,"text":"7:01","a11yText":"Süre 7 dakika 1 saniye","shortText":"7 dk."},"views":{"text":"4,4bin","a11yText":"4,4 bin izleme"},"date":"29 eyl 2023","modifyTime":1695945600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XKgycGkKxm0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XKgycGkKxm0","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":421},"parentClipId":"6670707125207160680","href":"/preview/6670707125207160680?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/6670707125207160680?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10191020088565895682":{"videoId":"10191020088565895682","title":"Class 12th(twelveth) BSEB \u0007[math\u0007] exercise 5.1 | \u0007[mathematics\u0007] \u0007[world\u0007] \u0007[by\u0007] V. Kumar | part 4","cleanTitle":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 4","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=dLRoac_4ufg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dLRoac_4ufg?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":"d3d3LnlvdXR1YmUuY29tO1VDdFN5R0VHVlJEZS1qWWh2Q0Y3V0VUdw==","name":"Mathematics world","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+world","origUrl":"http://www.youtube.com/@mathematicsworld139","a11yText":"Mathematics world. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2662,"text":"44:22","a11yText":"Süre 44 dakika 22 saniye","shortText":"44 dk."},"date":"29 nis 2020","modifyTime":1588118400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/dLRoac_4ufg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dLRoac_4ufg","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":2662},"parentClipId":"10191020088565895682","href":"/preview/10191020088565895682?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/10191020088565895682?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16111252625974823978":{"videoId":"16111252625974823978","title":"\u0007[Mathematics\u0007] in the modern \u0007[world\u0007]: \u0007[mathematics\u0007] as a language","cleanTitle":"Mathematics in the modern world: mathematics as a language","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qzf34178IUc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qzf34178IUc?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":"d3d3LnlvdXR1YmUuY29tO1VDSmxyVlNjdUJGdkhfMUpCTFhxSzktZw==","name":"RAMIL PAGON","isVerified":false,"subscribersCount":0,"url":"/video/search?text=RAMIL+PAGON","origUrl":"http://www.youtube.com/@ramilpagon6845","a11yText":"RAMIL PAGON. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":481,"text":"8:01","a11yText":"Süre 8 dakika 1 saniye","shortText":"8 dk."},"views":{"text":"5,5bin","a11yText":"5,5 bin izleme"},"date":"20 eyl 2020","modifyTime":1600560000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qzf34178IUc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qzf34178IUc","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":481},"parentClipId":"16111252625974823978","href":"/preview/16111252625974823978?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/16111252625974823978?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11637486791873276139":{"videoId":"11637486791873276139","title":"Class 12th(twelveth) BSEB \u0007[math\u0007] exercise 5.1 | \u0007[mathematics\u0007] \u0007[world\u0007] \u0007[by\u0007] V. Kumar | part 2","cleanTitle":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=agOkWBPwPNU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/agOkWBPwPNU?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":"d3d3LnlvdXR1YmUuY29tO1VDdFN5R0VHVlJEZS1qWWh2Q0Y3V0VUdw==","name":"Mathematics world","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+world","origUrl":"http://www.youtube.com/@mathematicsworld139","a11yText":"Mathematics world. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1577,"text":"26:17","a11yText":"Süre 26 dakika 17 saniye","shortText":"26 dk."},"date":"25 nis 2020","modifyTime":1587772800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/agOkWBPwPNU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=agOkWBPwPNU","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":1577},"parentClipId":"11637486791873276139","href":"/preview/11637486791873276139?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/11637486791873276139?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3183148747324434751":{"videoId":"3183148747324434751","title":"Nature OF \u0007[Mathematics\u0007] (\u0007[Mathematics\u0007] in the Modern \u0007[World\u0007])","cleanTitle":"Nature OF Mathematics (Mathematics in the Modern World)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Sj4Ke4r_W7w","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Sj4Ke4r_W7w?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":"d3d3LnlvdXR1YmUuY29tO1VDa29xVnppSmtJSkMxRGhhUXFVaTdlUQ==","name":"EduTech TV","isVerified":false,"subscribersCount":0,"url":"/video/search?text=EduTech+TV","origUrl":"http://www.youtube.com/@edutechtv6820","a11yText":"EduTech TV. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1093,"text":"18:13","a11yText":"Süre 18 dakika 13 saniye","shortText":"18 dk."},"views":{"text":"55,6bin","a11yText":"55,6 bin izleme"},"date":"9 eyl 2020","modifyTime":1599609600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Sj4Ke4r_W7w?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Sj4Ke4r_W7w","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":1093},"parentClipId":"3183148747324434751","href":"/preview/3183148747324434751?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/3183148747324434751?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4748624253105392545":{"videoId":"4748624253105392545","title":"Class 12th(twelveth) BSEB \u0007[math\u0007] exercise 5.2 | \u0007[mathematics\u0007] \u0007[world\u0007] \u0007[by\u0007] V. Kumar | part 1","cleanTitle":"Class 12th(twelveth) BSEB math exercise 5.2 | mathematics world by V. Kumar | part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=3EXJYabHTBU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3EXJYabHTBU?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":"d3d3LnlvdXR1YmUuY29tO1VDdFN5R0VHVlJEZS1qWWh2Q0Y3V0VUdw==","name":"Mathematics world","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+world","origUrl":"http://www.youtube.com/@mathematicsworld139","a11yText":"Mathematics world. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2898,"text":"48:18","a11yText":"Süre 48 dakika 18 saniye","shortText":"48 dk."},"date":"3 mayıs 2020","modifyTime":1588464000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3EXJYabHTBU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3EXJYabHTBU","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":2898},"parentClipId":"4748624253105392545","href":"/preview/4748624253105392545?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/4748624253105392545?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6503072429805140772":{"videoId":"6503072429805140772","title":"Class 12th(twelveth) BSEB \u0007[math\u0007] exercise 5.1 | \u0007[mathematics\u0007] \u0007[world\u0007] \u0007[by\u0007] V. Kumar | part 1","cleanTitle":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WpO5Bl0VYDY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WpO5Bl0VYDY?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":"d3d3LnlvdXR1YmUuY29tO1VDdFN5R0VHVlJEZS1qWWh2Q0Y3V0VUdw==","name":"Mathematics world","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+world","origUrl":"http://www.youtube.com/@mathematicsworld139","a11yText":"Mathematics world. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1833,"text":"30:33","a11yText":"Süre 30 dakika 33 saniye","shortText":"30 dk."},"date":"27 nis 2020","modifyTime":1587945600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WpO5Bl0VYDY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WpO5Bl0VYDY","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":1833},"parentClipId":"6503072429805140772","href":"/preview/6503072429805140772?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/6503072429805140772?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7622747873029103427":{"videoId":"7622747873029103427","title":"\u0007[Math\u0007] in the Modern \u0007[World\u0007] Module 1 - Nature of \u0007[Mathematics\u0007]","cleanTitle":"Math in the Modern World Module 1 - Nature of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NVRF_9tb__o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NVRF_9tb__o?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":"d3d3LnlvdXR1YmUuY29tO1VDSlloa0xuM204TmpOWGpPNDlFX3RiQQ==","name":"Mathematics Lectures","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures","origUrl":"http://www.youtube.com/@mathematicslectures2577","a11yText":"Mathematics Lectures. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1468,"text":"24:28","a11yText":"Süre 24 dakika 28 saniye","shortText":"24 dk."},"views":{"text":"167,8bin","a11yText":"167,8 bin izleme"},"date":"31 ağu 2021","modifyTime":1630368000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NVRF_9tb__o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NVRF_9tb__o","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":1468},"parentClipId":"7622747873029103427","href":"/preview/7622747873029103427?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/7622747873029103427?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15327290998001026799":{"videoId":"15327290998001026799","title":"Class 12th(twelveth) BSEB \u0007[math\u0007] exercise 5.1 | \u0007[mathematics\u0007] \u0007[world\u0007] \u0007[by\u0007] V. Kumar | part 3","cleanTitle":"Class 12th(twelveth) BSEB math exercise 5.1 | mathematics world by V. Kumar | part 3","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Uer1bLq10i0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Uer1bLq10i0?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":"d3d3LnlvdXR1YmUuY29tO1VDdFN5R0VHVlJEZS1qWWh2Q0Y3V0VUdw==","name":"Mathematics world","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+world","origUrl":"http://www.youtube.com/@mathematicsworld139","a11yText":"Mathematics world. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3123,"text":"52:03","a11yText":"Süre 52 dakika 3 saniye","shortText":"52 dk."},"date":"28 nis 2020","modifyTime":1588032000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Uer1bLq10i0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Uer1bLq10i0","reqid":"1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL","duration":3123},"parentClipId":"15327290998001026799","href":"/preview/15327290998001026799?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","rawHref":"/video/preview/15327290998001026799?parent-reqid=1765266770962629-3935808680482947979-balancer-l7leveler-kubr-yp-vla-125-BAL&text=Mathematics+World+by+murali+master","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"9358086804829479797125","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Mathematics World by murali master","queryUriEscaped":"Mathematics%20World%20by%20murali%20master","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"}}}