{"pages":{"search":{"query":"Mathematics","originalQuery":"MatheNatic","serpid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","parentReqid":"","serpItems":[{"id":"8438321001026303402-0-0","type":"videoSnippet","props":{"videoId":"8438321001026303402"},"curPage":0},{"id":"5983597637257482367-0-1","type":"videoSnippet","props":{"videoId":"5983597637257482367"},"curPage":0},{"id":"7805134928835403731-0-2","type":"videoSnippet","props":{"videoId":"7805134928835403731"},"curPage":0},{"id":"video-related-suggest-0-3","type":"relatedSuggest","props":{"title":"Bunlar aranıyor","columns":[[{"text":"Math games","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Math+games&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Math equations","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Math+equations&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Math history","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Math+history&source=video-related-suggest&rq=1&src=int_discovery_recommender"}],[{"text":"Math symbols","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Math+symbols&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Math problems","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Math+problems&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Math formulas","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Math+formulas&source=video-related-suggest&rq=1&src=int_discovery_recommender"}]]},"curPage":0},{"id":"8706157421079737710-0-4","type":"videoSnippet","props":{"videoId":"8706157421079737710"},"curPage":0},{"id":"R-I-113683-5-0-5","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":5,"grab":"dE1hdGhlbWF0aWNzCg==","statId":5,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","ui":"desktop","yuid":"3198448641773536111"}}},"isAdult":false,"position":5,"placement":"empty"},"curPage":0},{"id":"16476497882297447600-0-6","type":"videoSnippet","props":{"videoId":"16476497882297447600"},"curPage":0},{"id":"923267686766504875-0-7","type":"videoSnippet","props":{"videoId":"923267686766504875"},"curPage":0},{"id":"10653760658944869312-0-8","type":"videoSnippet","props":{"videoId":"10653760658944869312"},"curPage":0},{"id":"14859536777382560183-0-9","type":"videoSnippet","props":{"videoId":"14859536777382560183"},"curPage":0},{"id":"9396134368693571631-0-10","type":"videoSnippet","props":{"videoId":"9396134368693571631"},"curPage":0},{"id":"5554157024930621954-0-11","type":"videoSnippet","props":{"videoId":"5554157024930621954"},"curPage":0},{"id":"R-I-113683-5-0-12","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":12,"grab":"dE1hdGhlbWF0aWNzCg==","statId":12,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","ui":"desktop","yuid":"3198448641773536111"}}},"isAdult":false,"position":12,"placement":"empty"},"curPage":0},{"id":"16063786870183877422-0-13","type":"videoSnippet","props":{"videoId":"16063786870183877422"},"curPage":0},{"id":"11028985195965863570-0-14","type":"videoSnippet","props":{"videoId":"11028985195965863570"},"curPage":0},{"id":"14610814128129284732-0-15","type":"videoSnippet","props":{"videoId":"14610814128129284732"},"curPage":0},{"id":"12117964817532335009-0-16","type":"videoSnippet","props":{"videoId":"12117964817532335009"},"curPage":0},{"id":"2161240128342717722-0-17","type":"videoSnippet","props":{"videoId":"2161240128342717722"},"curPage":0},{"id":"16143990070147825631-0-18","type":"videoSnippet","props":{"videoId":"16143990070147825631"},"curPage":0},{"id":"12969722982561102402-0-19","type":"videoSnippet","props":{"videoId":"12969722982561102402"},"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,"correction":{"items":[{"kind":"reask","rule":"Misspell","query":"Mathe\u0007(N\u0007)ati\u0007(c\u0007)","url":"/video/search?text=MatheNatic&noreask=1&nomisspell=1","params":{"text":"MatheNatic","noreask":"1","nomisspell":"1"},"helpUrl":"https://yandex.com.tr/support/search/info/request-correction.xml","helpTarget":"_blank","helpAriaLabel":"Yazım hatası düzeltme servisi"}],"id":"168799215868"},"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":"dE1hdGhlbWF0aWNzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","ui":"desktop","yuid":"3198448641773536111"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMatheNatic","pages":[{"reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"4507815857243519476716","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":0,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1506057,0,19;1502250,0,40;151171,0,41;126350,0,61;1269693,0,70;1281084,0,91;287509,0,7;1447467,0,68;1005539,0,6;1482975,0,2;1499422,0,71;1478786,0,7;1510644,0,35"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMatheNatic","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=MatheNatic","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":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=MatheNatic","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Mathematics: Yandex'te 3 bin video bulundu","description":"Результаты поиска по запросу \"Mathematics\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Mathematics — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yb7b39c169f505ee84cf74bb1b813aeab","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1506057,1502250,151171,126350,1269693,1281084,287509,1447467,1005539,1482975,1499422,1478786,1510644","queryText":"MatheNatic","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3198448641773536111","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1509771,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1773536168","tz":"America/Louisville","to_iso":"2026-03-14T20:56:08-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-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":"1506057,1502250,151171,126350,1269693,1281084,287509,1447467,1005539,1482975,1499422,1478786,1510644","queryText":"MatheNatic","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3198448641773536111","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":"4507815857243519476716","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":159,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"3198448641773536111","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1785.0__ab4b9de1530b4e7ef53ae9d2e7bd51dd0141055f","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"8438321001026303402":{"videoId":"8438321001026303402","docid":"34-6-14-ZA56B1D87E75828AB","description":"Everyone hates math, right? Wrong! I like math. Mathematicians like math, presumably. Physicists like math, usually. Okay, let's go! Watch the whole Mathematics playlist...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3382755/51bd8c3ea7e1458d0b646fe329527c20/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Hp3_BgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJbhBdOfMEPs","linkTemplate":"/video/preview/8438321001026303402?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Mathematics","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JbhBdOfMEPs\",\"src\":\"serp\",\"rvb\":\"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_E5MDggQkAYAEKyqLARABGniB9vv7-_sFAPsDAw0KCPsCBgb4APf__wD3-_v9_gL_APj2BAALAAAA_gf0B_wAAAD8-QcL__4AAAwG9gMDAAAADgP-__0AAAAWBvb6_gEAAPX4BwIDAAAABQwIAAAAAAD5Bf74_gAAAAIQAQcAAAAABAH7BAAAAAAgAC1ZkeI7OBNACUhOUAIqhAIQABrwAX_3D__qBxsCyQLoAZkf5_-G-hD_7v7R_9MG9gG09sQAJA4lAMrVAAA60yv_2vwgABUE6AA-AxsAGOsQ_0sP5QDRKhgBJLIfAC8AMQH_8uD-4wXoAMfl5wHW__cBHBzbAO7xHv0rBtX-Hu4AAB_nGAMj7NIF3fkb_hH66wPrMQj-FfQIAD0R8gE9Ewr36hc-AecEAfwA7AT-A-fuBBQC9AcOxtoAFer7-vgcDvz_8QP8D_j7-OgxAwvezQcFAi0L88vJBf8N7gb7DOcQ_Q0bHP7j1QwHzNjv_h7N_v7f2Qr2BBXyDAr8EhAmGQYAJO4GBSAALU78Czs4E0AJSGFQAirPBxAAGsAHh2zYviRegz3j0bo7v41-PR6uED00MM28yM0Avgq-p7v4jhU9pg7yPZX0MLxkyWe6zSEpvoH_gr0Okx89LQlQPtT4YDzmZBg9z8B4vpOBTbyItgi9PiYivhei3rzcqto8CYf-PX39ej04uBm9Utjiu7mYtDtY9g497rNKPbeZqzv9yFC53JsEPNST3rz87QG9lX8NPqKkVr2xVV08YOcmPg3TDb3xHvG8c9oTvjSlkLz-GRQ9pVH9u93tej3pSsI79z8QPhegbbyfSfI7t63SvHaM67yUXmU8l1fOvaCpMrwQ_Lm8fD2pPZPUWL2as3I6ViOQPTKBH7q3Ul49FvPYvEH5tj2tp7G6J5J-PXz5iD3gfI88UMPXvcSSdz1rjM46fGmlvdF0lj1r2Eq8ecGBvWlkgDsuOpc7wzw1vQD8qL2xBXO8BSotPEZBED3d81c8VWSJPfaX3T2Y8ka8uF-pvV2H6jxjY7k8HiUlvb_ZQbzaa-q7y64FvaGIIL2jJH88ij6fPfy4BzyAbEi8Km8XPlYZzL33wxW7emKnvBvG07wj_ZG8oPOkPF8eFz0ws_i6cXlHPb8_rbsLTMC6KHbZvFcIq700iIu7qkRZPNkqGjx6i3k6gRndvGS1lDyRAlU85OUfPQ7LVbx92pc67O-mPVpNsj1Pc6a5M2idvenrnjxodsC76zaovBbKuLwo7bK7HLjevB4bnL1u-HS5lyOfPfvGfL0DrBI61KCBO3QVsb0-s1u4W87lPdQbHz01k9I4BvA7PQDLBjxhTeS5GjQUPlZ4XL0Ba9-3G2gevZBsybz3pQs5rPGIvJx3or1uhVE5mqONvcA2jL26UZa4aNlJPIVnV7vKmRo7GlSWveSldj3DJLU5SgsXvgrcmr2pquG29_WtPdIY0rwslea3Fo2wPZuSh7yefJk4Fm60Pd3TETyNy4A4llMMPbs3UDyQyT65cQddOi-VrT0v-uK3OGlaPbEcfLzHGZm4Hs6yPLYlVz2rSUy3z2XqvYkmkD21iAs5cVpwPLr12r35nwo5iCSju_WmHb1IdkQ4Z_iqvGHJsLzsJ404Kr7LvaiyPr3nRpU37h3aPBwZtbyflGy3HF7wPX0E_jz055C4opQUvCnmwbs-SDg4FU4XPQEj3Ls5Q5m4zcd6vdMV7L3mm_i417OxPNLA8rq8Kre1iWY5PXs4vL2key83uHMBPcwrgr0vZnS4_81rPal6Qz3KRac4YJqYPFua-z2Erf24B06svK4mE7w7wmg3hUyoPFR_U71yQp22IAA4E0AJSG1QASpzEAAaYAQBACUFHs3oMyPyyN_REdvyL7wtwvz_wgL_Hwri_QJEzNsEBAAEtDnxpAAAAO_aAgoSANF_1L7YQQfYE8-hGEEVehEkDsQZ-QCuK_3sAPEqIqsEFgDt-qEqIRe1LxJbSyAALf8EFTs4E0AJSG9QAiqvBhAMGqAGAADgQAAAfMIAAJpCAADAwAAAUEEAAMjBAABAQgAAEMEAAGjCAACAvwAAcEIAAJhBAADAQAAAgD8AAOBAAAAgQgAAQEAAAIBBAABIQgAAQEAAAGRCAAAowgAA8MEAABBCAABAQAAA0EEAAHDCAAAQQQAAhEIAANhBAAAowgAA-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-AABJvwAAwr4AAIC7AABUPgAAbL4AAGS-AADePgAALL4AADy-AADmPgAAQLwAAFA9AAAdPwAAfz8AAK6-AACGPgAATL4AAIa-AACevgAAND4AAHA9AABEPgAAJD4AAOI-AABcvgAAJD4AABQ-AABAvAAAgLsAAMi9AAC6vgAA4r4AABC9AACgvAAApr4AAMg9AABsvgAAHL4AAHC9AACyPgAAnr4AABy-AAC6vgAApr4AAK6-AABMPgAA6D0AAEC8AADIPQAAPz8AAOg9AACIvQAAij4AABy-AACePgAALD4AAI4-IAA4E0AJSHxQASqPAhABGoACAABEvgAAED0AACy-AAALvwAAoLwAAFA9AACePgAA2L0AAIY-AABwPQAAgLsAAFC9AADIPQAAQDwAANg9AABAvAAAmD0AAAk_AAB8vgAA6j4AAKC8AACoPQAAEL0AAIi9AACAOwAAEL0AALg9AACIPQAAED0AAJg9AADYPQAAFD4AACy-AACgvAAAND4AAKC8AAB0PgAAfD4AAGy-AADgPAAAlj4AABC9AAAQPQAAUD0AAFC9AAAwvQAAf78AACw-AACYvQAAQLwAAJg9AAAwPQAAyL0AAMg9AACqPgAATD4AAEC8AAAUvgAA4DwAAHA9AAAQPQAADL4AAIA7AABQPSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=JbhBdOfMEPs","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["8438321001026303402"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1532099822"},"5983597637257482367":{"videoId":"5983597637257482367","docid":"36-1-0-ZF46AFA2946A59E3E","description":"Explained ALL of Mathematics in Just 9 Minutes | Arithmetic | Algebra | Geometry | Trigonometry | Calculus | Number Theory | Topology | Logic | Statistics | Probability | Game Theory | Control...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1458741/68d60cae887ce2598f124748403afdf30310_rt/564x318_1"},"target":"_self","position":"1","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3De9eNW63ZJWo","linkTemplate":"/video/preview/5983597637257482367?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Explained ALL of Mathematics in Just 9 Minutes","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=e9eNW63ZJWo\",\"src\":\"serp\",\"rvb\":\"EqsDChM4NDM4MzIxMDAxMDI2MzAzNDAyChM1OTgzNTk3NjM3MjU3NDgyMzY3ChM3ODA1MTM0OTI4ODM1NDAzNzMxChM4NzA2MTU3NDIxMDc5NzM3NzEwChQxNjQ3NjQ5Nzg4MjI5NzQ0NzYwMAoSOTIzMjY3Njg2NzY2NTA0ODc1ChQxMDY1Mzc2MDY1ODk0NDg2OTMxMgoUMTQ4NTk1MzY3NzczODI1NjAxODMKEzkzOTYxMzQzNjg2OTM1NzE2MzEKEzU1NTQxNTcwMjQ5MzA2MjE5NTQKFDE2MDYzNzg2ODcwMTgzODc3NDIyChQxMTAyODk4NTE5NTk2NTg2MzU3MAoUMTQ2MTA4MTQxMjgxMjkyODQ3MzIKFDEyMTE3OTY0ODE3NTMyMzM1MDA5ChMyMTYxMjQwMTI4MzQyNzE3NzIyChQxNjE0Mzk5MDA3MDE0NzgyNTYzMQoUMTI5Njk3MjI5ODI1NjExMDI0MDIKEzk1MTkxNDkxOTUxMzkyNzUyMzAKFDExOTExMjg1ODIzMjIwNzE3NTg4ChE4MDMwNTE5NTkzODg4NTYzMRoVChM1OTgzNTk3NjM3MjU3NDgyMzY3WhM1OTgzNTk3NjM3MjU3NDgyMzY3aq8NEgEwGAAiRRoxAAoqaGhrbXNmeHpzc2NybHlyY2hoVUM0Zl9RUUVha0wyTzJoVXJkMTFwQlN3EgIAEioQwg8PGg8_E5cEggQkAYAEKyqLARABGniB9Pz2_gH_APP8CAf3Bf4B9Pru__n-_gDq-PvzAv8BAP4IAgYHAQAA_gjzB_wAAADt_vkC-wEAAAQE9wcEAAAAHfkC9P0AAAAbEf8A_gEAAPz8CgQD_wAADgkBBQAAAAD4_QsFAQAAAPkQ_QcAAAAA_gf8B_8AAAAgAC2FQdE7OBNACUhOUAIqcxAAGmAIFgAoFQ_d1O0t6Pbv8AX7BBnZANsCAPsLAP8YDvcAJdjFFAv_EsMM5MMAAAALEPAADQDYUfvdxikT_v_W6vwaEn8cDNwhN_ANvRL-AwkYAgDgAzMA7_zeACEf7jcTEzwgAC0KCVY7OBNACUhvUAIqrwYQDBqgBgAAAMAAAMDBAACwQQAAYMEAANDBAACIwQAASEIAAODBAACEwgAAQMIAACRCAABMwgAAdMIAAETCAADQQQAANMIAAKBBAACAPwAAwEAAAIBBAACAwAAAiMIAAIhBAABAQAAARMIAAKhBAACqwgAAbEIAALBBAAAwQgAAQMIAAOBAAABcwgAAFEIAAGzCAABMwgAACEIAAMRCAAAIQgAA8EEAAEDBAAC4QQAAmkIAAGDBAABAQAAATMIAAAxCAABAwAAAUEIAAABCAACgwAAAuMEAAIA_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_AACoQQAAIEIAAPBBAACoQQAAqMIAAOjBIAA4E0AJSHVQASqPAhAAGoACAACYvQAAiD0AABA9AAAUPgAAJD4AAJo-AAC4vQAAXb8AAI6-AABQvQAAyD0AAKa-AADgvAAAgj4AAGy-AACqvgAA0j4AAMg9AAAsvgAAFz8AAGc_AAC2vgAAED0AAOg9AABMvgAAfL4AAKA8AACgvAAAij4AAIC7AADCPgAAfL4AAKi9AABAvAAAHL4AAFS-AAA8vgAALL4AAMa-AABkvgAA4LwAAIq-AACOPgAAZL4AAAO_AAAEvgAAgj4AALq-AAAsvgAAHL4AAEy-AABUvgAAjj4AAJI-AAC4vQAAQLwAAH8_AAAsPgAADL4AAKg9AACovQAAiD0AABw-AAAMPiAAOBNACUh8UAEqjwIQARqAAgAAqr4AAOA8AAC4PQAAGb8AACy-AADgvAAAqj4AAEC8AABUPgAAML0AADC9AADYvQAAED0AAFC9AAAQPQAAmD0AANg9AAAbPwAADL4AANY-AAA0PgAAQLwAAFS-AAC4vQAAEL0AAIi9AABQPQAA2D0AAPi9AACIPQAAcD0AAFw-AADYvQAAJL4AAHw-AABwPQAAdD4AAGw-AACOvgAAUD0AACQ-AAAkvgAAcD0AADC9AAD4PQAADL4AAH-_AACgPAAAPL4AAIi9AAAkPgAAfD4AAKA8AAAUPgAAND4AACQ-AADIvQAA2D0AAHA9AAAMPgAAHD4AAES-AADIPQAAHD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=e9eNW63ZJWo","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5983597637257482367"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"7805134928835403731":{"videoId":"7805134928835403731","docid":"36-0-0-Z43749F85EFAC0E4C","description":"🔔Tonguç Kampüs Sayisal Kanalina Abone Olmak İÇİN👇 https://bit.ly/38lvQ7a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1492287/0155e3e3b380512c2ed27861601207a70314_rt/564x318_1"},"target":"_self","position":"2","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DPw2neqgxQII","linkTemplate":"/video/preview/7805134928835403731?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Matematiksel İspatlarda Bağlayıcılar ve Niceleyiciler","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Pw2neqgxQII\",\"src\":\"serp\",\"rvb\":\"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_E1yCBCQBgAQrKosBEAEaeIH8CQD9-wUA8_b1AgUD_wECCwD_-P__APEAAvz-AQAA9vEJ_P4AAADz-_gBCAAAAPYH-BD-_wAAFfXxAAEAAAAN_PwG-wAAAPMB8QQAAQAA-wsC8gEAAAANCAEFAAAAAPsECQv-AAAABAED_AAAAAAC6vYDAQAAACAALaML4Ts4E0AJSE5QAipzEAAaYCUSAE8W5dPX9tnsC_w-P77B5ezi3iD_I-cA0Aa-0iAYv-PgFgAL1g8FqQAAAB_s2g83ANlrtuEdwg8L_aK6IvcYfysYJOlD6AYA_Pz59OchzPMTAgDC5fr2Qhyy_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_AAAkwgAABEIAACBBAAAAwQAAlsIAAFjCAAAEwgAAoEEAAKDBAAAIwgAAuEEAAEDBAAAsQgAAoMEAABDBAABQwQAAlsIAAFTCAABkQgAAEEEAALBBAABcQgAAwEEAACjCAAAsQgAAUEEAAIBBAAD4QQAAJMIAAHBBAAB4wgAAgMEAABjCAACowQAAfMIAAGjCAAAAQAAA4MEAAPBBAABwwQAANEIAAIDAAADQwQAAZEIAALhBAAAQwQAAUEEAAIDCAAAUQgAAOMIAANDBAADAwAAAIMEAACDBAADIwQAAgEIAAOBAAACCwgAAgMAAAMDAAAAQwgAAikIAAFxCAACYwQAAeEIAAIC_AADgQAAAoMEAACzCAACQwQAAkEIAABjCAABgQQAAoMEAAGTCAAAAwgAAyMEgADgTQAlIdVABKo8CEAAagAIAAPi9AAAsvgAA-D0AAA-_AAD4PQAA0j4AAIg9AABJvwAAUD0AAMI-AAAwPQAAND4AAGQ-AACYPQAAbL4AAAy-AAA0PgAADL4AAL4-AAB0PgAAfz8AAAS-AAAXPwAAqL0AAFw-AABsvgAAFD4AABQ-AAAsvgAAtj4AABQ-AADYvQAA6j4AAAw-AAB8vgAAuL0AAOA8AABcvgAAL78AALi9AAB8vgAADD4AAM4-AACmvgAAdD4AAMq-AABQPQAAPL4AAIC7AACCvgAAuj4AAM6-AAA0PgAA4LwAAI6-AADgvAAACT8AACy-AABcvgAAhj4AAKC8AACKvgAARD4AANi9IAA4E0AJSHxQASqPAhABGoACAAAUvgAAzj4AAOA8AAAxvwAAgDsAALi9AACKPgAApr4AABQ-AAAcPgAAyD0AALq-AAC4vQAAvr4AAJi9AADgvAAAdL4AADM_AACSvgAAoDwAADQ-AACavgAAuD0AAFC9AAAQvQAA6D0AAKq-AABUPgAAoDwAACS-AAAcPgAAqD0AAJq-AAD4PQAAMD0AALi9AACWPgAAED0AALa-AACSvgAAkj4AAEQ-AADIPQAAcL0AAES-AAAUPgAAf78AADw-AAAEPgAAUL0AAJi9AADgPAAAPD4AANg9AADYPQAAiD0AAFC9AAAEPgAANL4AAJi9AAAUvgAAJL4AAAQ-AAAEPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Pw2neqgxQII","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["7805134928835403731"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"8706157421079737710":{"videoId":"8706157421079737710","docid":"36-4-0-ZA153061A6718A8E9","description":"Understanding the Word Maths – Mathematics Basics In this video, you will learn the meaning of the word Maths and its connection to mathematics. Many students use the word Maths every day in...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1466371/94ecad853af2c0e600380117ac3ca9ba0314_rt/564x318_1"},"target":"_self","position":"4","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1_ClndAUAg0","linkTemplate":"/video/preview/8706157421079737710?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Understanding the Word Maths – Mathematics Basics #maths #mathematica #education #mathematics","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1_ClndAUAg0\",\"src\":\"serp\",\"rvb\":\"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_E0OCBCQBgAQrKosBEAEaeIH7_wH_-wYA-QcFCAAG_QEGBvgA9___AP77_fX8Bf4AAP4BAwcBAAAEBfcBAgAAAPv9_gb-_gAABAT4BwMAAAATCwAB_gAAABQF_wD-AQAA-AEK_gIAAAAIBA78_wAAAPkF_vj-AAAABg0KCQAAAAAGAgAAAAAAACAALcSf4zs4E0AJSE5QAipzEAAaYOUEADQRAOzJAg_r3uTdAP30Hr8i8usA3AoADQj05hIZ5uf_FQAUwR3pwAAAAA3y9gAyAMdR3L7FIST1_OD4_xoKf_UNAfgx4PPHEQrv6h0i-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-AABUvgAAUD0AAEA8AAC4PQAAuj4AAEy-AAAnvwAAqr4AANi9AABAvAAAlr4AAEA8AADYPQAAQLwAACy-AABEPgAAqL0AAPg9AADiPgAAfz8AAIi9AACyPgAAqL0AAAy-AACmvgAAED0AAOC8AAAwPQAARD4AAN4-AAAEvgAAmD0AABS-AADIvQAAgj4AADC9AABcvgAA4r4AAIC7AACivgAATL4AAKo-AAD4vQAA2D0AALi9AADGPgAA_r4AAGy-AAAFvwAA4r4AALK-AADOPgAAQLwAAFC9AABAPAAANz8AADw-AACgvAAA-L0AAES-AACyPgAAcD0AABA9IAA4E0AJSHxQASqPAhABGoACAABQPQAAuD0AANi9AAAZvwAAqr4AAJi9AADePgAA2D0AALI-AAC4vQAABL4AAAy-AACAuwAADL4AABC9AACIPQAAQDwAANI-AAB8vgAA2j4AAAQ-AACYvQAAir4AACS-AACgvAAA-D0AAIi9AADIPQAAHL4AAJg9AAAQPQAA-D0AAHC9AABQvQAAoDwAABA9AACWPgAAyD0AAGy-AACoPQAAyj4AAFC9AABwPQAA2D0AAIi9AAC4vQAAf78AANg9AAA8vgAA6L0AAEA8AABkPgAAFL4AAKA8AACmPgAAXD4AAPi9AAAMvgAAQDwAAIg9AABwvQAARL4AAPi9AAAkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=1_ClndAUAg0","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8706157421079737710"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"16476497882297447600":{"videoId":"16476497882297447600","docid":"34-3-2-ZD4C526F7E23CD548","description":"Learn linear algebra in this course for beginners.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4079344/58adeb941a0c0a122ac239205c9b8826/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ACc5SgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrSjt1E9WHaQ","linkTemplate":"/video/preview/16476497882297447600?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Linear Algebra Course – Mathematics for Machine Learning and Generative AI","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rSjt1E9WHaQ\",\"src\":\"serp\",\"rvb\":\"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-CgwCBv0BBAAAAvj__gDuBPz4BQAAAPr49wECAAAA_QL8BQEAAAD7_f4H_v4AAAwP7wADAAAABgYB__4AAAAPEPr5_gEAAPX4BwIDAAAAEQgC9P8AAAADDfn9__8AAP8GBf0AAAAABgIBAAAAAAAgAC3BWuA7OBNACUhOUAIqhAIQABrwAX_s_wPGBw7-KOvtAPkUDQGeCCP_PP8NAIn0BAKM9vf9AAPyAPkJFQAfDgMA2AwgAPvu_P8Y-BQAGuf__xH19ADcIBMBMvD8ADIA_QDZ7eH-2OwGASn4IQER0A3_CxT1_hoEA_zL_ewCAfr4_xf7DgPlDhT_AAH6A-8DJgHtM_T-8OTg_hANHQT_-QQE8foGA-zcCQD9HeT78A0F--8G-gQNA_z9Ign8AhP-9gLZ7AD9-wfy_iHw-QAK6AoI-RkB__z4DQHs7P8CChYLAB39BP4CEgMGEgv8Dgce-_3y7wAI6_sC-CIJBAjsDQYS2vf7DCAALdhuNzs4E0AJSGFQAirPBxAAGsAHH7zOvrESmDtG7cA7qgudvcuBvzvA_pC8XyV_vRSvMjwZopK7PtDqPZnO8zydh1G7vY6QvnznXL3Ypik7cqesPi0la73hSHu87-VOvhCoQz0YrMC79aFrvoTTBz10NcO7OSonPmCwejs56g88fQUZPu6Ujr0V-K88hWB1vRsWXr2Bfjq8Twh8O3LSRb3fikS85PuNPWfc77zjXeQ6-dCPPYVEir2uoMS8ZbHDPKj_rDxp5PO8cA4VPL5vF71lMRa8kDISPoWUZL2afLM8PTyVvS-f0Txy7DC7VYpdvRzjlLyNBQq94hMfvOj_8Dzozh29GrWcPTHwt7ww4Sc7ToZevfMx6byOOl-8-wU7Pto31z1Edco7Jgx0vV1Guz1MLLo8wUwAvX-0ST1TfYK8fqzLPexuebxUVYm7n_W-uxJBBj1PyTk8dknmPF2ABz2Cy526kcT9uzTQ4Tzd4YC8To7MPR56IT0-LuC7C7jnvXZQiTtbhJi8jLJIPIhWXTzIGZQ8HFzaPbXu8LxEbI86RPO1PdjU2b06cSC8i0ievJrdJLyx1wG8cw8pPWwww7y2zom7UI_NPZlQtzyTrcu63bTZvVmrUbwTlTK8bv-lPUiivLw6vqi7bQNyvQdkyjzJAok7_H8mvQBKbT2Slue7y5jnvFoNuT3sjIg7_mFrvefE3rxN1qi7mG9YPMOgpzwxeQc8axVYvHJKJb1-IDO7aeTTPcnSvbxSsAa4clSJPCcFLL3kFYg7FOppvJSVUD38QXK7zBI4PU95dLyWpB06NlfNvBESjjwClfm6vNpAvGKcZD2yDPW5Au8pPc0ZtrydJRU4qMfWvVkNU73JJz-4yuYiureU7rmjs1Y63_X-PPj2Mz0xNmk5M6JZPAsZOb1I1UC54CzFvaZvyDzOpAq50sxuvJLyybyt2O24F2cMvdM0Q71F5pG4PNltPSYM1DyqaGa5npY_PVTwijzm6kk4D2T7O5zF5ryjkJy4Kdt2vOfssz0nn4A3owtFvHZPkz32LUc4YkcIPQL44bsEcVC2nQ5HO3efA75D3oy3hLjSvdAfrz1fWGo5Q368vZtGSbx4S8g3SYxUvO9KjL15K9c2_YYJPSbI57su76S374BhvVqhmL2QD484Ol3WPexKjTsc-0m5qds5veZ_STvBUfA3K7Q9vOmaCb2efU23rhoaPXlzOLubWji4JtyQvBYwMb5BoFq5VRimPW0LxT2Dx-c4OaELvdEQhD3l09W4fQkwPZq1ND3gcSS4wcWOu2IVr7xBcTM3IAA4E0AJSG1QASpzEAAaYBf9ABcWKwHVDivn5vzgBN32CdUs5hgA7vAAFxDe5QIX0M37GP8f5wXpuwAAAB7o4QwGANJc3cTcGAAYCtXL-xr2f8olBujgIAfJChEU5u4QEPwsVQAKCbYFUQXNGR8IHiAALbXeQDs4E0AJSG9QAiqvBhAMGqAGAACgQQAAAMEAAKDAAABsQgAAgEAAAMBAAABAwAAAMEEAADDCAAB4wgAA-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-wgAA-EEAAFRCAABwwQAAREIAAMhBAACoQQAAQMAAAABAAABAwgAAgsIAAHBBAABAQgAAbEIAAEDBAACgwAAATEIAAEDAAADAwAAAIMIAABTCAACgwQAAsMEAAKhBAABAwgAA6EEAAMDBAADAwAAAqsIAANBBAABAQgAAcMIAALjBAACowQAAiMEAAHDBAACowQAAsEIAANBBAABwQQAAYEEAAETCAAAAAAAAgL8AAAzCAAAAAAAAiEEAAIBBAACAvwAAUEEAACBCAACIwQAAAAAAAPBBAABgwgAANEIAAAAAAADgwQAAsEEAAFBCAACIQQAASMIAAIDBAACgQQAAQMIAAOjBAACwwQAARMIAABBBAACIQQAAJMIgADgTQAlIdVABKo8CEAAagAIAAJ6-AADIvQAAJD4AAJY-AABAPAAA6D0AAHS-AAAtvwAAxr4AAJq-AADgvAAAB78AAMg9AAC2PgAArr4AAPi9AAAVPwAA6L0AAC8_AABHPwAAWz8AAL6-AADoPQAAyL0AAKA8AACgPAAAwj4AANi9AAD4vQAAgj4AANY-AACgPAAA6D0AAGQ-AAD4vQAAFD4AAKi9AADOvgAAnr4AABA9AACmvgAAED0AALI-AAD4vQAAqD0AAI4-AAAfPwAA_r4AAI6-AACGvgAAuL0AABm_AAADPwAAZL4AAN4-AACAOwAAfz8AADC9AACgPAAAFL4AAES-AACePgAAjr4AAFQ-IAA4E0AJSHxQASqPAhABGoACAADYvQAAmL0AAFC9AAAvvwAALL4AAKi9AAAUPgAAQLwAAOg9AAC4vQAA2L0AAIK-AAAkvgAAgr4AAIg9AACAOwAAML0AABE_AAAQvQAAij4AAJg9AAAsvgAAVL4AAKg9AACIPQAAmD0AABy-AAAwPQAAcD0AADA9AAAwPQAABD4AALi9AADIPQAAZD4AAIA7AAD-PgAAyL0AAMK-AAAEPgAA-D0AABA9AADIvQAAJD4AAIi9AAAUvgAAf78AABw-AADIvQAATL4AAAS-AABMvgAAVL4AAIA7AAAsPgAARD4AAOC8AABwPQAAEL0AAEw-AACYPQAALL4AAPi9AAA8PiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=rSjt1E9WHaQ","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["16476497882297447600"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3229750548"},"923267686766504875":{"videoId":"923267686766504875","docid":"36-7-0-ZB20D0159DADD32F0","description":"Our 7th grade textbook for the entire season: https://ty.gl/nqxgrecvlzwt7 🎯Particle LGS Planning Notebook: https://ty.gl/1tktlhbuxge0p 📢 Dear students, we are now starting our 7th grade math...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/1669534/3a3a8e9fc558a00c3f3a27a5e8696af80308_rt/564x318_1"},"target":"_self","position":"7","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3hkzfcVYPNI","linkTemplate":"/video/preview/923267686766504875?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"7th Grade Math | Percentage Problems | Lesson 15 | 2026","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3hkzfcVYPNI\",\"src\":\"serp\",\"rvb\":\"EqsDChM4NDM4MzIxMDAxMDI2MzAzNDAyChM1OTgzNTk3NjM3MjU3NDgyMzY3ChM3ODA1MTM0OTI4ODM1NDAzNzMxChM4NzA2MTU3NDIxMDc5NzM3NzEwChQxNjQ3NjQ5Nzg4MjI5NzQ0NzYwMAoSOTIzMjY3Njg2NzY2NTA0ODc1ChQxMDY1Mzc2MDY1ODk0NDg2OTMxMgoUMTQ4NTk1MzY3NzczODI1NjAxODMKEzkzOTYxMzQzNjg2OTM1NzE2MzEKEzU1NTQxNTcwMjQ5MzA2MjE5NTQKFDE2MDYzNzg2ODcwMTgzODc3NDIyChQxMTAyODk4NTE5NTk2NTg2MzU3MAoUMTQ2MTA4MTQxMjgxMjkyODQ3MzIKFDEyMTE3OTY0ODE3NTMyMzM1MDA5ChMyMTYxMjQwMTI4MzQyNzE3NzIyChQxNjE0Mzk5MDA3MDE0NzgyNTYzMQoUMTI5Njk3MjI5ODI1NjExMDI0MDIKEzk1MTkxNDkxOTUxMzkyNzUyMzAKFDExOTExMjg1ODIzMjIwNzE3NTg4ChE4MDMwNTE5NTkzODg4NTYzMRoUChI5MjMyNjc2ODY3NjY1MDQ4NzVaEjkyMzI2NzY4Njc2NjUwNDg3NWqvDRIBMBgAIkUaMQAKKmhoYXJ6d2JlcXd2dWV1cWRoaFVDUm5UOTZQSk9yNEtlTUVqaGl6RU1mZxICABIqEMIPDxoPPxP2EIIEJAGABCsqiwEQARp4gfARAggI9wAE-BAQBw35A_wK9vz2_f0A8fwB8_QBAADx7wgMAAAAAAP97P35AAAA-Qj6CPr-AAAME_0OBAAAABb4A_72AAAAGwv0Cf4BAADkAf0ABAAAAAgDBvb_AAAACQYOAPn-AAALHQEOAAAAAAX-_wMJ8wD_IAAtV-i5OzgTQAlITlACKnMQABpg_AUAJuYG9csKAfzT4eIl9N4f4AjwBP__4gALFfXxDhvY5hL1ADS99_jAAAAAHQr8AxgA_Ur32eYIAA8U88UTARd__RUP5wkEAvk1Adcq-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_AAAQwgAAgD8AAEjCAACAvwAAwMEAAFRCAABkQgAAbEIAAOjBAAAAQgAAGMIAAAAAAAAEwgAAMEEAADBCAACAQAAAEMEAAIhBAAAMQgAAGEIAAFxCAAAAAAAAAEAAAHBBAAAgwQAAAEEAAFzCAAAkQgAAoEAAAAxCAABswgAABEIAAPBBAAAQwgAAgMAAAIDBAACwwQAAoMAAAOLCAACEQgAAgMEAAAhCAAAAwAAAiMIAAEDAAADAwQAAoEAAAIDAAACAPwAAVMIAACzCAAAEQgAAEEIAAMjBAAAcwgAAFMIAAMDBAADYQQAAMMIAACjCAACqQgAAIEEAAIrCAABYwgAAFEIAACBCAAAQQgAAYMEAAIDBAAC0wgAABEIAAFDCAAA0wiAAOBNACUh1UAEqjwIQABqAAgAAkr4AAFS-AAD4PQAAqD0AAFC9AAAjPwAAcL0AAFO_AAATvwAA2L0AAPg9AAAsPgAAED0AAJ4-AABAvAAApr4AAIo-AABAPAAAMD0AAA0_AAB_PwAAQLwAAPY-AACIPQAAiD0AADC9AABQPQAAFD4AAK4-AABwPQAAuj4AAFQ-AAAsPgAAmj4AANI-AADYPQAAXD4AANi9AACmvgAA2L0AABS-AACAuwAAuD0AAOC8AAA8vgAA6D0AAOA8AACOvgAAmL0AABC9AABkPgAAfL4AAOA8AABAPAAAhr4AAFA9AABbPwAAuj4AAIg9AABAPAAAEL0AAAQ-AACKPgAAcL0gADgTQAlIfFABKo8CEAEagAIAAGS-AAAUPgAARD4AACu_AABAvAAAqL0AALI-AADYvQAAJD4AAOA8AADgPAAAmL0AAAy-AAAcvgAAMD0AAMg9AACIPQAAKT8AAIC7AADWPgAAEL0AADS-AAB8vgAAuL0AAJi9AACYvQAA4DwAAKA8AAAUvgAALD4AAOA8AABMPgAADL4AAHA9AABEPgAAcD0AAHA9AACgvAAAlr4AANg9AABwPQAABL4AABC9AABQPQAADL4AAKA8AAB_vwAA2L0AAAy-AAA0vgAA2D0AACw-AAAQPQAAmL0AAMg9AAAEPgAA4LwAAIA7AADYPQAAuD0AAOA8AACKvgAA2L0AADw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=3hkzfcVYPNI","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["923267686766504875"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10653760658944869312":{"videoId":"10653760658944869312","docid":"34-2-12-Z8DD33442D96F00CA","description":"Learn discrete mathematics in this beginner's course. Discrete mathematics plays a key role in IT solutions, used in machine learning, accelerating queries in search engines and databases, in...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3101654/bc8a8f9ef40ee5f11f0ad3f885d50a32/564x318_1"},"target":"_self","position":"8","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DG9JxuWk7BDA","linkTemplate":"/video/preview/10653760658944869312?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics Course for Beginners","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=G9JxuWk7BDA\",\"src\":\"serp\",\"rvb\":\"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_gH_AAQABQcBCfwCDP76Cfb__wD___P7_AX-APz_CAMBAAAA9gT4AvgAAAAA-_EN-P4AAAYG_Pr7AAAAIQ39-PsAAAAWBv8A_gEAAP_x-wED_wAAEgoIAf8AAADsDvT-_wAAAPwICAUAAAAACgL1AQAAAAAgAC2FQdE7OBNACUhOUAIqcxAAGmD8BQAeERL_wB5E99vx1wkgCxvDGt3w_9gAAAoO6fgYFe_UD_b_EccG4roAAAAbAdYHHADwXMbFzB4MDBzLAPcOEH_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_AACAPwAAiMEAAPBBAAAAwgAAUEEAANDBAAAkQgAAgMAAAFTCAACwQQAAwMAAAIC_AADwwQAAlkIAAIDAAACAvwAAUEEAAPjBAAAAQQAAyEEAAARCAADYQQAAAMIAAHDBAAD4wQAAcMEAAJLCAAB4wgAAbEIAAGzCAAAMQgAAwMAAAIC_AABAwAAAVEIAAFhCAACqQgAAKEIAAKBAAAAQwQAAyEEAABDBAACwwQAAgL8AABRCAACAQAAAcEEAALhBAACaQgAAAMAAAI7CAABgwQAAIEEAABxCAADAQAAAdMIAACxCAAAgwQAA0MEAAGzCAABIwgAAAEAAALhBAADAQQAAqEEAAGDBAACQwQAADMIAAL7CIAA4E0AJSHVQASqPAhAAGoACAABkvgAAMD0AANI-AABAvAAAQDwAACE_AACiPgAAWb8AAL6-AAAUvgAA-D0AALK-AADYvQAAMD0AADC9AAAUvgAApj4AAEA8AACOPgAANT8AAH8_AADevgAAbD4AAKC8AADYvQAAhr4AAK4-AABsPgAA-L0AAN4-AADqPgAAmL0AAKg9AADCPgAAPL4AACw-AADgvAAAyr4AAPK-AADgPAAAyL0AABG_AABcPgAA2L0AABC9AABwvQAApj4AAMq-AABcvgAAjr4AAAS-AABAvAAA0j4AAIA7AACoPQAA-D0AAHs_AAAQPQAABD4AAIi9AADYvQAAlj4AAAw-AABcPiAAOBNACUh8UAEqjwIQARqAAgAAkr4AAMi9AAB0vgAAOb8AABS-AAC4PQAAuj4AAEy-AABwPQAAcL0AAEC8AAB0vgAA4LwAAFy-AAAUPgAAQDwAADw-AAALPwAABL4AANo-AABwvQAAqD0AADy-AACgPAAAcD0AABA9AAC4vQAAgDsAALi9AAC4vQAADD4AAJg9AADgPAAAQDwAALY-AACIvQAAhj4AAEw-AACmvgAAUD0AAHQ-AADgPAAAgDsAABA9AABUvgAAyL0AAH-_AADgPAAAfL4AANi9AABcPgAA2L0AAHA9AAAwPQAABD4AAAQ-AAAQvQAADD4AABA9AAAQvQAAyD0AADA9AACgvAAAVD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=G9JxuWk7BDA","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10653760658944869312"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"14859536777382560183":{"videoId":"14859536777382560183","docid":"34-3-17-Z7653CCFA539B4135","description":"Join the free discord to chat: discord.gg/TFHqFbuYNq Join this channel to get access to perks: / @theunqualifiedtutor Shout out to the editor: https://thehalalmedia.carrd.co/ Chapters: 0:00 Intro...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3862680/5c4899ee82538d1cde1d877f075a3c7b/564x318_1"},"target":"_self","position":"9","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DgYv8BYINOzU","linkTemplate":"/video/preview/14859536777382560183?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The 7 Levels of Mathematics","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=gYv8BYINOzU\",\"src\":\"serp\",\"rvb\":\"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_AUA-e4ICQYH_AH3CvsE-f39APP7_fwHAQAA-PYEAAsAAAALCvgK_AAAAPv9_gf-_gAAAggBDwMAAAAMCAYD_QAAABUIAvX-AQAA9fcHAgMAAAAJCQ0JAAAAAPcDC_wBAAAA9wsI_QAAAAD9EQP-_wAAACAALXGG3js4E0AJSE5QAipzEAAaYAsSACAeJ-DXHSr9_eMFBQkHEdrn6_8AEO4A8ub90SUg79IX-f8juxzkuwAAACji9QL9AMNX6vb0Cx_RB8715AbzfwgN1u42EgDlKgX9FCAzHc3zJwD45_MWJADcExJETiAALd-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-MEAAAjCAAAkQgAAMEEAAHhCAACwQQAAqkIAAMBAAAAEQgAAGMIAADBBAABoQgAAKMIAAEhCAAAEwgAAiEEAAKjBAAAAwQAAaMIAAHDCAAAQwgAAPEIAAIDAAADgQAAAQEEAAEjCAADAwQAAsMEAADRCAACgwAAAOEIAAPjBAACgwAAALMIAALjBAAAowgAAYMIAAAxCAAAgQQAAXEIAAGDBAAD4QQAA4EEAACBCAACIQQAAqEEAAEBAAACgQAAAQEEAAFDBAAAIwgAAIEEAAATCAACgQAAAUEEAAJjBAAAAAAAAmMEAADBCAADowQAAYMEAAMBBAAB8wgAAcEEAAIBBAAAwQQAAsEEAAADBAABAQQAAQEEAAKBBAADYQQAAoMEAAI7CAAB8wgAAFMIAAMJCAAAAwwAAosIAAHzCAABowgAAUEEAAADDAABgQgAAGEIAANhBAAAUQgAAuMEAAODAAAA8wgAAQEAAAAjCAAAwQgAAIMIAAJpCAACAvwAA0MEgADgTQAlIdVABKo8CEAAagAIAAES-AAAwvQAAQDwAAFA9AABwPQAABT8AAKi9AAAhvwAAAb8AAOA8AACovQAAtr4AABy-AABkPgAALL4AAFC9AADiPgAAQDwAAMY-AAC6PgAAfz8AAEy-AADiPgAAiL0AABC9AADOvgAA4LwAAOC8AACyPgAA4DwAALo-AADIvQAAhj4AAOi9AACgvAAA2L0AAAQ-AACWvgAAN78AAK6-AABMPgAAPL4AAEQ-AAAkvgAAlr4AAOi9AAAkPgAA6L0AAFw-AABsvgAA6L0AAOa-AABEPgAAhj4AABw-AAA8PgAATz8AANg9AADoPQAAMD0AAHS-AADoPQAALD4AABA9IAA4E0AJSHxQASqPAhABGoACAACGvgAAML0AABC9AAAfvwAAUL0AABC9AACOPgAAcD0AAK4-AABkvgAAML0AABC9AABAvAAAcL0AADC9AAC4PQAAUD0AAAU_AACqvgAAzj4AAOg9AACAuwAADL4AABS-AAAQvQAAoDwAAOA8AAC4PQAAED0AAEQ-AAAcPgAAJD4AAEy-AADIvQAAfD4AAHA9AABMPgAA6D0AAKa-AAA0PgAAqj4AAHS-AADYPQAA2D0AADS-AADIvQAAf78AABQ-AACGvgAA4LwAAIA7AABUPgAAgLsAABA9AADKPgAAND4AANi9AAAwvQAAoDwAAEC8AADgvAAAZL4AAHA9AADoPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=gYv8BYINOzU","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14859536777382560183"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"9396134368693571631":{"videoId":"9396134368693571631","docid":"36-5-0-ZF21BB91F911E10F5","description":"Buy the book: https://sifirdansonsuza.com/ayt-matem... Trendyol: Hepsiburada: Digital PDF: Sample Pages: We take mathematics from the basics and make it fun for you, taking it to infinity.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-video_thumb_fresh/934799/fe0a4ee6ac3f03dab0736f795e2dc2e50310_rt/564x318_1"},"target":"_self","position":"10","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DoAcEuTcP8oc","linkTemplate":"/video/preview/9396134368693571631?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"AYT Mathematics Questions That Guarantee a Score Increase and the Top 10 Questions","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=oAcEuTcP8oc\",\"src\":\"serp\",\"rvb\":\"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-P34Av4A9fgGCQ8G_AEBCf4I9_7-AOX5-wv4_QEA9gH7DQcAAAD6EPD_AwAAAPj5-hD__wAAAA_zCgMAAAATBQb5-AAAAAoH8_X_AQAA9PH_AQP_AAATCAPz_wAAAPYMEvv_AAAA_hAFAQAAAAANBgn6AAAAACAALRHtzjs4E0AJSE5QAipzEAAaYBQXAEoLAdy9_xXg99XVCQXy8_IX__X_AO7_5vj79B0EBpj3_v87uAz-swAAACPcBx0RAOBp6O_RL_jtMbjlEgErf9Yq9g0VN9DoHC0EHRgb8efuOgDv-ssI_xoOZBM1GiAALYOOMjs4E0AJSG9QAiqvBhAMGqAGAABgQQAAMMEAAAxCAADwQQAAkEEAAMDBAABQQQAA3MIAAMDBAACAwAAAwEEAAOhBAABkwgAAUMIAAJBBAACAQQAA2EEAAEDAAAAAAAAAmMIAACBBAAAAAAAABMIAADBCAACUQgAAQEEAAETCAAD4wQAAgkIAALJCAABgwQAAKEIAALjBAACYQQAAoMIAAGDBAAAAQQAAqEIAAKBBAABswgAAgEEAAABAAADAQQAAeEIAAHBBAABQwQAAlMIAAAAAAAAcQgAA-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-AABAvAAAuj4AAOC8AABBvwAAUD0AAGy-AABAvAAAoLwAAHA9AABkPgAAcL0AAJK-AAANPwAAQDwAADA9AAAXPwAAdz8AABC9AACePgAAqD0AAAw-AABUvgAAFD4AAFS-AAA0vgAAij4AAI4-AAD4PQAAij4AAJY-AACIvQAAHD4AAKC8AADYvQAAyr4AAKA8AAD6vgAAgr4AABC9AACIvQAAcD0AAIi9AADCPgAALL4AABy-AAD4vQAABD4AALi9AACIPQAAcD0AAIa-AACIvQAAfz8AAAw-AACIvQAAcL0AABy-AABAPAAAuD0AABC9IAA4E0AJSHxQASqPAhABGoACAADIvQAAJL4AABw-AAA7vwAA2D0AAPg9AACgPAAAqD0AAFy-AACgvAAAcD0AADS-AABAvAAAdL4AAHA9AADgPAAAQDwAAFU_AABQvQAAij4AAGw-AADgPAAAcD0AAIa-AABQPQAAqL0AAOi9AADIPQAAgDsAAPg9AAAMPgAAcD0AAIC7AAA0vgAAsj4AAKi9AACAuwAAML0AAKa-AADoPQAAVD4AAFS-AABwvQAA4LwAAI6-AABAPAAAf78AANi9AAD4vQAAEL0AAKC8AAD4PQAAQDwAAIC7AABkPgAAED0AABC9AAAsPgAA-D0AALi9AACgvAAAMD0AACw-AACAuyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=oAcEuTcP8oc","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9396134368693571631"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"5554157024930621954":{"videoId":"5554157024930621954","docid":"34-10-14-ZAB0091DDBD2EBECA","description":"#10textbook #mathtextbook #10math NOTE: At 9.09, cos 60 would be -1/2. Mathematics MEB Publications ✏️ 10TH Grade Mathematics Textbook PAGE 69 70 71 72 73 74 BOOK PAGE 69 70 71 72 73 74 ✏️ 10TH...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3010143/232579cddc84acf0ef789a992ce3b66a/564x318_1"},"target":"_self","position":"11","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DtfSOa0414p0","linkTemplate":"/video/preview/5554157024930621954?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"10TH grade mathematics textbook page 82-83-84-85-86-87 10TH grade mathematics meb publications","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=tfSOa0414p0\",\"src\":\"serp\",\"rvb\":\"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_E_MOggQkAYAEKyqLARABGniB-gcABvoGAPTw_AgABf4BBAAAAvn__gD2B_z__wL_APn7_wUFAAAA-Pv9Av8AAAAB9wEE9v0BABAHAQv2AAAAEwsAAf4AAAAPEPr5_gEAAO33Av8DAAAABQf1_QAAAAD__wj5AgAAAAsLCfMAAAAAAPr8-QAAAAAgAC0r9eM7OBNACUhOUAIqcxAAGmDcCQBW9QDd2_b1992y0A8C5AS_F9QI__0HAOMF_eUKGt7X_Bj_ELAE-LEAAAANJvr1NQDbXejHtDchFyO80wYmI3_oOwLoI-oK_O8t1RX0Gw680_oA6_rqAx0N0xMXMhcgAC3r2jM7OBNACUhvUAIqrwYQDBqgBgAAAMAAACRCAACEQgAA6MEAAEBAAAAwwQAA-EEAAIA_AABAwgAAUMIAAIA_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_AADAQAAA2MEAAFzCAAC4wQAAgkIAAAzCAAAAwAAAkEEAABBBAABAQgAALMIAAMDBAAAcQgAANEIAAFBBAAAAwQAAQEEAAODBAACEwgAAyMEAAGzCAABwwQAA4MEAACjCAACAwQAAGMIAAIjBAAAcwgAAqMEAAExCAACAvwAA4EAAAEBAAACAvwAAYEEAAFjCAABMQgAACEIAANBBAAC6QgAAMEEAAODAAACwQQAASMIAACDCIAA4E0AJSHVQASqPAhAAGoACAAAsvgAAcL0AADA9AAAwPQAA4LwAACU_AACoPQAAf78AAEy-AABMPgAAgLsAABS-AACSPgAAoDwAAOA8AACavgAAuD0AAIA7AABAPAAAQT8AAGk_AAB8PgAAjj4AAMg9AABwPQAAVL4AAFQ-AAAcvgAA-D0AAFA9AACuPgAAkr4AAMg9AAAcPgAAdD4AALg9AAAQPQAAoDwAAM6-AABMvgAA0r4AAMi9AACuPgAAML0AAKA8AAAQPQAAfD4AAHS-AACAOwAA7r4AAGy-AABUvgAAQLwAANI-AAAMvgAAgLsAAHM_AACOPgAANL4AANg9AABwPQAAXD4AAI4-AAAQvSAAOBNACUh8UAEqjwIQARqAAgAAhr4AAMg9AACoPQAAL78AAOA8AAAUvgAAgj4AABy-AABUPgAAqD0AAOg9AABAPAAAEL0AAJq-AACIPQAA2D0AAFS-AABXPwAAcD0AAM4-AADgPAAAfL4AADC9AABkvgAAML0AANg9AAAQPQAARD4AAES-AACovQAAoDwAAOg9AABAPAAATL4AAJo-AAD4vQAAqD0AABw-AACmvgAAcD0AAIo-AAAMvgAAUD0AACy-AACovQAATL4AAH-_AAC6vgAA-L0AAOi9AADgPAAA6D0AAIi9AAAUvgAA2j4AAKA8AAD4vQAAoDwAADC9AACIPQAAyD0AAMi9AACAuwAADD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=tfSOa0414p0","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["5554157024930621954"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"16063786870183877422":{"videoId":"16063786870183877422","docid":"34-9-4-Z77E6C456FCB95E2F","description":"Mathematical Symbols Explained with Meaning and Example | Full Guide for Beginners! ✍️ Mathematical symbols are the language of numbers. 🔣 From simple signs to powerful expressions, every symbol...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4075804/fec35149e03c8ef10f2503827b351df9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-phTKQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DGTd3-ebAnLg","linkTemplate":"/video/preview/16063786870183877422?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematical Symbols Explained | Meaning, Uses & Examples in Math","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=GTd3-ebAnLg\",\"src\":\"serp\",\"rvb\":\"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_AUABvMHAgQH_QIGAvP29___APYA9fQDAv8AAvsE_AMBAAAC_e_--gAAAPf--wj0_wEADv3-AwQAAAARCPj99wAAABoQ_wD-AQAA9fL_AQP_AAAIBQQBAAAAAP7__fsCAAAA_g8FAAAAAAAL_v4BAAAAACAALXGG3js4E0AJSE5QAiqEAhAAGvABWAkb_4Eh9_lDD98A2P_bALMnH_9FF_QBDv7yAPEj9ADm9_QAGd4MANQG6v_lDy__tuH1AD4G8QAYCBEA9CIFAf0P_AHw9uwBGrzm_e0MD__lHSf-6BXv__QmHgAFywH__hHY_UP65QDg7h4AAAUWAhEaBgG9B_wD5u7vAf8T_v0MAQID6AjxAQcS5v4U-RYDAxEH_grt4wAIOQ8AHvn5CfgG9QEJAPv5CO_rB_sL6ggd9_P84u3iA_0D_gIHH_8HL-3iAs7rBP8gFf715_n19-jkFP0XKw0LEeAQ_BkXDwLy8Qfy5_UCA_v0_Q3cFwgDIAAt8QUtOzgTQAlIYVACKs8HEAAawAeMnwa_KjYrvXneFbwHJDE-h-HjvFslFrybG9O8FzMdvdBdt7w6yzy-m9DeO5baAb2z8HW-x9CWvEVkQDkKL2E-F3GwvEHTxjlTUnE8L9K4O_Q-hLxHjw--baSRPGg4yjyjiiy8fV-3uzlBwDsc6AQ84hN8PB8Tyrt83-68ra4ZvWXukDsR-ZM80yOXvNw2ArwLNTQ9gXyEPRHp8TvB_wa-R7VjvSVdcTsrV469MXMmvIB8LrwZWBe-FU0RvS4dczzRV6U97wT3OweEEb074TW-jL_NvVoEHrro_kU8FDEWPRq9_bsOBHc9C74jO94hhTy1NQI9TNQcPdx7JLn29t28vBlaPf-9yrwZrSO-zEYiPe52Pbwprkq9lSCtPC92eLp8e5e87moovXsuU7y5ido9CesVPa4LhTs82ti91CEVuv0h7Lw8bB29Bza2u2794rlTyqA9LHdQveKxG7ycBKU8XQB1PKMngLyYofE9OedMPAAR7Ly9S3O9LiAPPfeYwLuHsgY9XTfFvXisX7tgZ4Q9-RG_vT1rEjzBa3w9UrfzvWsViDnD8BE9LEWiPSZFFjuzdVW9IKMyvTv3ZDumP5C9fOC6u8CeJzv2RV87mmxtvU7WpLvOJpa9-p6sPLXhMLtuXeC8Ee5EPaZnFzx580o9XC0FPLOaLjyTzrY8jBfmPIkyzDvEzxy8gYIivCeVHbvSWJY9BaiEvU5bHTlthoA8akMvvdDgTrhys749SoEAPUZSDjo_-iu9QmI2Pd3CuDl754Y8Qou2OpiupDmq8Eq79H7tO5lkorpe-Fy9jYK7PKbBWjeq1Lw99LMHPWXzU7lNh468O7LoPPoxZbiqmmC9DVGmuypqRrmoZws9QymQPW1igznv9eI7iCqRvW2DDDkwaZe9rb9FPd5zBrl4npM9brjZPP2onbhlrVw9BSGPvFHEmTl2mSs8LYhSvVbpXLinGTy9sdHDvHmGtTdU5Ru-QQqzPXHUpLl4UvA86JTRvOsFXLf2M8s96MqWvLxuBTiDcUs8Y3l8vUPL8jcPD5w9VKg-vtM5A7ot-Wm88grEPJIvcjf1orG9qGz9vGewmrgPml09ybRxPYQajziwXwa9wK_RPVFNZzj2pEK9MCUXPYPDyDcdW289BimtPYxInrgp1l88FSTwuvsiKLgX08y9gHUGvbpO4bj01so8fJ7_PMjWFbdcqKE9fcSUvbihljeQcaC85rgJPSB2QTdEgeM8eXKyPMjEtrhOt2w8xiZjvUXaDDcuxA89HB0Bve2mqbcgADgTQAlIbVABKnMQABpgBwMAQwUY-woTQtTk2wH47voDwAvHCv_z2_8l7_7AMzfYygUk_zDkEMeuAAAACdnqBiMAw3Hl1AUOLfMDvPG8KRBo6BfR5CAXBIEu8-_ODx36-Rc3APnEwzAj9-Ic7CI5IAAtC5onOzgTQAlIb1ACKq8GEAwaoAYAACjCAACQwQAAoEEAABxCAADAwQAA0MEAAPhBAACAvwAAsMEAAHDBAACoQQAANMIAAAhCAAAgQQAAQEIAAEBBAACYQQAARMIAAEjCAAB0QgAAMEIAAJjCAACAwAAAwEAAAAAAAADowQAASMIAADhCAAAoQgAAWEIAAGDCAAAAQQAANMIAAAzCAAAMwgAAwMEAAFBBAAAQQgAAKEIAALhBAACwwQAAQEAAADhCAABowgAAqsIAADBBAABAQAAAgEAAACRCAACQQQAAEEIAAGDCAACAQAAAwEEAAIxCAADAQQAAcMEAALjBAACAvwAAcMEAAAxCAABkwgAAsMEAAIBBAAAAQgAALEIAAPjBAADAQAAA-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-AACoPQAAcD0AAEC8AAA0PgAAQDwAADO_AAB0vgAAoLwAAIC7AAA0vgAAqL0AALo-AAAsvgAAlr4AAII-AACIPQAApj4AAPo-AAB_PwAA2L0AABw-AACYvQAAHL4AAIa-AAB0PgAAcD0AAHQ-AACKPgAAgj4AAMK-AABQvQAAEL0AAIA7AAAsPgAA2L0AACS-AACCvgAAEL0AAIq-AAAsvgAAmj4AAHC9AAAUvgAAVL4AAHw-AACOvgAAFL4AAAy-AAAUvgAAuD0AAAw-AAAMvgAADL4AAKC8AABRPwAATD4AAIg9AACgvAAAoDwAACQ-AAD4PQAA-L0gADgTQAlIfFABKo8CEAEagAIAAKi9AABwPQAAgLsAAA-_AABUvgAAHL4AAN4-AAC4PQAADD4AAIA7AACAuwAATL4AADC9AAAcvgAAcL0AAKA8AAA8PgAA8j4AAFA9AADqPgAAHD4AAKA8AAA8vgAA2L0AAIA7AADgvAAAQLwAAIg9AADgPAAAVD4AAEA8AABEPgAAZL4AAHC9AADgPAAAiL0AALo-AAAQvQAAfL4AAHQ-AAB0PgAA6L0AAHC9AABEPgAAED0AACw-AAB_vwAAML0AAJq-AAAwPQAAuD0AAII-AACIvQAA4LwAADw-AAAkPgAAmL0AAKi9AADIPQAAMD0AADA9AADIvQAA-L0AABA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=GTd3-ebAnLg","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["16063786870183877422"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3055918800"},"11028985195965863570":{"videoId":"11028985195965863570","docid":"34-1-8-ZB495391C7285D347","description":"🔥1000+ Free Courses With Free Certificates: https://www.mygreatlearning.com/acade... Discrete mathematics is the branch of Mathematics concerned with non-continuous values. It forms the basis...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4246625/61c0c3e058a63caff1f16286379ac2be/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Ri5k9QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFMh8qNV3PHk","linkTemplate":"/video/preview/11028985195965863570?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basics of Discrete Mathematics | Discrete Mathematics Full Course | Great Learning","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FMh8qNV3PHk\",\"src\":\"serp\",\"rvb\":\"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-v0C-wUA-wMDDQoI-wL6A_8B-f39AP77_fX8Bf4A_fYGAwIAAAD-B_QH_AAAAPj6-w___wAABAb7B_kAAAAVC_P6AAAAABQF_wD-AQAA9fv-_AMAAAAKCQT7_wAAAP0G-fz6_gAB_g8FAAAAAAAHCPsDAAAAACAALVlC4js4E0AJSE5QAiqEAhAAGvABf9_6Abvt1v8G9N4A3x4KApsTDP8yEssAyRAhAbDU5ADIJegAzwHg_-YQIQHK-C7_FwXZ_x3PBwEm7fL_EvD_APMbBQFNzvYBWOsPAAT38QDsCSMA-PolACb2_QAAJPn_7AMV_Qf73QHvA8cCMPAdAgwHKAMBECT90QAQ_eoR8wX27PH78QQwA-_37P_25SYE3dH4_AfvEQfhMAUDCArpBhAACPgMEdQAMPrkAvjo8_vwAQgACubqAgMIGQLY9PsE9PcjAtzj6fvxFAjxGeH-AeUA-AUI4OsBHwf9Bv7PCffw4-73EP0L998B_gflBP8DIAAtf4IhOzgTQAlIYVACKs8HEAAawAe37Ni-XXepPLHUxLyp9xS8RCXDu3cuzLzZ38O9fjq7O4C-iDzqUYI8ET5vvAf1yLy3DZO-G1QTPBu0HL1nYpo-TjqbvBrvWDxYx9G9DLyJPGwDfL31oWu-hNMHPXQ1w7sJayM-rCkfPaN5wDxhXYs9Ug_RPJALEz1dF769XZalvJLNVb3ueim-3MunvUZ9bbzX6sE9N_CUvQnpHzzGvqk9TypQPEkcCzwKIRA8mw85vXVvqLpDEXy9qEcEvZlq_7v3PxA-F6BtvJ9J8jvc9Be-5CJIvZee-rtVil29HOOUvI0FCr2VUoY9IzHBPLtlYrzwbmA9W1U7vVbYZ7xs6dG9qValPW0a27zwf2w9ZqnAPeVlCTzGYaq9q1udPe7Umjukbqc8_dJHPBa6t7zPfKM9uDJSPafQVDzpdgA9MGIEPRsHxTuqHka6gIGAPVTTZDwyEmu8M_TXu7hS07vHrLg9NImVPEpqGTzbARK9KJYAvepEG7oK6uW81wRHPcUhFzxEq268hiI4vNnwT7xFXKU8c7j2veQENzyAAQ497hiYvcN5nbxNpiU9anlvPevYEDxgcqg9Rz4OPKB_CrvnFh-9jUepvPkDs7oDvSY9NL_1vJRQuDsI29m8kcqePKAeNrz8ZUG8hezZu4dCOrzEknY732-kPVxAwzq40gY9CFbVvT66EroUeRI9K1ovPST7FLsal-A8CnKGvMvHh7s2rr88C8KbvcM9xrhhCJ890gqCPHNYjjrMjTM8imeavbW15rgfotE9WPgfvXnRijiBCkI9D9UQPGHNM7jW7Ke94Pt2PPk7JDl-UYc9jhM3uj93Z7m-xeA7rFMVvqaMyTkZoem8lDsCPbRd0bkU86c9fz2FPc4oYrjMIMO91A0EvghThTlDcYe9y7wXvAMhn7iw87A9E999OxMsn7e_B5S8IqqLvLJFBrmFsYm7kvr8OzqMQrjhls89cF5cPaaUcLh7Eti8zwZqvfGnoTjjp3E8n3l0PfBpBrnu4JG9ij76PEIYorel1Mo8YnnjuuSC4rjzzMY95dODvWMJjzct97g8D4qMPam9irgi-wC-xl8kPReYZTgHsbO8gUEQO2ryZDexNLA8XjtHPbl4QDgmZme9TZzBPPI_CTixFQQ-xv_4OzLZU7isG0-9cABivXH6orjYyUq9DFBEvVrAqri1PRC9L2fbPPDhALhcqKE9fcSUvbihljdVGKY9bQvFPYPH5zgvwSm8CsTGPFtMlrjeEd-7vhOzPFporbcgs_O8rzhBPEH9_zcgADgTQAlIbVABKnMQABpgFvkAKwQn6usiPOPfzO78--8atRTe8QDn8wDsDO7z_xvcyPUH_w7O-Oa2AAAAEvbV_Q8A4GLK0Mgb6wAOwu7fEwp_2SYe3A4SE88xHQ3NLQMn3iFHAPXhrCcrC70x7QIjIAAteaI0OzgTQAlIb1ACKq8GEAwaoAYAACBCAACIQQAAREIAAODBAADgwAAAgD8AALjBAAAwQQAAAMAAAJDBAABQQQAAgEEAAGjCAAAIQgAAXEIAAKDAAACAQQAAUMEAAIhCAACQwQAAAMAAAJhBAABwwgAAqEEAAPBBAAAgQQAAkEEAADzCAABcQgAAwEAAAKDBAABEQgAAEMIAAARCAADYwQAAgL8AAOBAAADqQgAAZMIAAJhBAAAcQgAAKMIAAIhBAABAQQAASEIAAFjCAABYwgAAUMEAAMBCAABAQQAAYMEAAHjCAACYwQAAyEEAABhCAADAQAAAhsIAAMDBAADwwQAAoEAAAIRCAAAswgAAaMIAALjBAABwwQAA-EEAAMpCAACWwgAAQEEAAFBBAACkQgAAfEIAAODBAACkQgAAoMAAAJ7CAACAQQAAEMIAAJzCAAAwwQAA6MEAAJDBAABQQgAAtkIAANDBAACQQgAAgMEAANhBAAAwQQAAKMIAAADBAACuQgAAFMIAADjCAABIwgAAAAAAAGDCAABwwQAAJEIAAKBBAAAYwgAAeEIAAFBCAAC2wgAAAMAAAIhBAAAoQgAAkMEAAMDBAAAYQgAAUMEAAJhBAADQQQAA-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_AAAcvgAAyr4AAOC8AADuvgAAUL0AAPg9AACAOwAAEL0AANI-AADIvQAAhj4AAFE_AAB_PwAAqr4AAIo-AACavgAAQDwAAAS-AADYPQAAoDwAACy-AADaPgAADz8AABy-AACgPAAAyj4AAKg9AABsPgAAXL4AAIK-AAAJvwAAPL4AAES-AACKvgAAvj4AADC9AACgPAAA2L0AAA0_AADevgAA1r4AAPq-AACevgAAyr4AALo-AACYvQAABD4AAHA9AAB_PwAAdD4AADC9AABkvgAAiL0AAIY-AABQvQAA6D0gADgTQAlIfFABKo8CEAEagAIAAHS-AADgvAAAPL4AACG_AAAcvgAAMD0AAJI-AADYvQAAML0AAOA8AADovQAAJL4AAIA7AAA8vgAAJD4AAEC8AADIPQAAEz8AADS-AADKPgAAoDwAAKC8AAD4vQAAQLwAAIg9AADgPAAAJL4AAJg9AABEvgAAmL0AAIg9AAC4PQAAQDwAAKC8AACOPgAAcL0AAII-AAAsPgAAfL4AAOC8AABEPgAAEL0AADC9AADgPAAAML0AABy-AAB_vwAAEL0AAHy-AAD4vQAAfD4AAIC7AACgvAAADD4AAIC7AADYPQAAcL0AABw-AABwPQAAcD0AALg9AAAcPgAAED0AABA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=FMh8qNV3PHk","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["11028985195965863570"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"4231325861"},"14610814128129284732":{"videoId":"14610814128129284732","docid":"34-5-2-Z415992E244ADACD2","description":"#textbook #mathtextbook #mathbook #mathworkbook #mathworkquestions #mathachievementcomprehensiontests #textbook #mathtextbook #mathbook #mathworkbook #mathworkquestions #mathgainconcepttests...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/754251/697f12003bc998f2e376c66df2675ae3/564x318_1"},"target":"_self","position":"15","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DF4sb6ZcQCTU","linkTemplate":"/video/preview/14610814128129284732?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9TH grade mathematics textbook page 17 18 9TH grade mathematics book 1","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=F4sb6ZcQCTU\",\"src\":\"serp\",\"rvb\":\"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_ggE_AQA_PkGBwIH_AIGBvgA9___APP9AfX2AQAA-PYEAAsAAAD2BPkC-QAAAP4D_xD3_gEABAb7B_kAAAAYBwj6AQD_AAoOAwD-AQAA7wEF_wMAAAACCQQFAAAAAAD_AwEEAQAABAgDBAAAAAAC__L8AAAAACAALZO43js4E0AJSE5QAipzEAAaYO38AE4AFeDVCOYE-9T2_P7qBsUk8xL_7_oA8vcF6Qgm7uYcEwAJtgLuuwAAACf_7OwwAPRN9ta_IwwKEua4Cv0Sfx8nGN78AA0I_TTQ_xkM_q7p7gD7-uP7I_rlES4SGyAALQo_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-EEAAMzCAADgwQAAuMEAAIBBAAA0wgAAcEEAAAhCAADgwAAAmMIAADDBAAAQQQAA4MAAADDBAACuwgAA0EIAAMDBAAAwQgAACEIAADxCAABkwgAAoMEAAOhBAACQQQAAAMAAAFBBAAAoQgAAgL8AAJjBAADoQQAAEMEAADBCAACIwgAAuEEAACxCAABAwgAAoEAAAIhBAADowQAAisIAACDBAABYQgAAgEAAAKBBAABAQAAAgEEAAFxCAADIwQAAQEEAAOBAAAAoQgAAQMAAAGzCAAAcQgAAiMEAADDCAABowgAAhMIAANjBAABQwgAAqEEAAAhCAAAQwQAAuMEAABTCAABgwQAACEIAAMBAAACgwAAAEEEAAAzCAACQQQAAgMAAADBBAACoQQAAnkIAAJRCAACyQgAAQEAAAABCAABcwgAAyMEgADgTQAlIdVABKo8CEAAagAIAAKa-AABAvAAAjr4AAJi9AACAOwAAJT8AAGS-AABVvwAAVL4AALg9AACYPQAAir4AAOg9AACCPgAAMD0AANK-AABkPgAADL4AAHC9AABfPwAAYT8AAHC9AACaPgAAoLwAADC9AAAwPQAAdD4AAAQ-AADIvQAAgLsAAMY-AABwvQAABD4AAI4-AAB0PgAAJL4AAKi9AADgPAAA2r4AAIi9AADuvgAAnr4AAJ4-AACYvQAAgr4AAIi9AACePgAA0r4AAKK-AABUvgAAor4AAPK-AADGPgAA3j4AAIK-AADgPAAAfz8AAGQ-AADgPAAAFD4AAJi9AACmPgAAJD4AAOA8IAA4E0AJSHxQASqPAhABGoACAABEvgAA6D0AADA9AAAVvwAAED0AADC9AACGPgAAiL0AANg9AACgvAAA4DwAABC9AACYvQAAZL4AAPg9AABwPQAAUL0AACU_AABAvAAAyj4AAEC8AAAkvgAAJL4AALi9AADgPAAAUL0AAMg9AADYPQAA6L0AAJi9AACgPAAA2D0AAEC8AACgPAAA2D0AAFC9AACgvAAAFD4AAHS-AADIPQAAPD4AACS-AADYPQAAiL0AAIi9AABMvgAAf78AAMi9AACAOwAAEL0AAFA9AACgPAAALL4AAOi9AABUPgAAyD0AAJi9AABwPQAAEL0AAEw-AADgvAAAdL4AAIi9AABUPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=F4sb6ZcQCTU","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14610814128129284732"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12117964817532335009":{"videoId":"12117964817532335009","docid":"34-6-5-Z7C959F4586CEF292","description":"Discrete Mathematics: Introduction to Discrete Mathematics Topics discussed: 1. What is Discrete Mathematics? 2. What is the need to study Discrete Mathematics? 3. Discrete vs. continuous objects.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2462583/9b13c0b6d3b42e246e48c70a97af9e84/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BZZMAgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dp2b2Vb-cYCs","linkTemplate":"/video/preview/12117964817532335009?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Discrete Mathematics","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=p2b2Vb-cYCs\",\"src\":\"serp\",\"rvb\":\"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-_cD_AD7AwMPCwn6AhYF9wb0AQEA9AD08wMC_wDn-AQHCf8AAPoR7_8EAAAAB_wKDPr9AQAEAwQD-wAAABcN8fkAAAAAHRL_AP4BAAD0_gQFAwAAAA4XCwEAAAAA8Qz__vr_AAAJGAf-AQAAAAkK-wQAAAAAIAAtnNXGOzgTQAlITlACKoQCEAAa8AFu-iMByQjhAA0I3ADdKccBge0c_yUm9gDA8goAshHP_wkJ-ADk0-__-gAS_7b-6gH8-dH-Av0cACz7Iv8pBCYBARgRASH6GAEhDQsAG_PlAek4_P8e6ysCG-noAAIV6gMc8hH81QzyAAAG4wMO_jgBFxHwADn5CgPdIBwG_w8mAOYD6QAC-Sb_8_IG-NwYHQECFPMFFBDqAdcjCgQrAQQH--EDCQAP8PgxCPP84Q749tfwC_r4F-f7JQIRAQoO7f_e4wn3B-f_AOwLAwEy7Q78-wccAvP0DAcJ9-AB_tAJ9-kHBQHoKPf_6BgE-Br3AfUgAC1BWiU7OBNACUhhUAIqzwcQABrAB8GnBb_UlRU8csPvvFrIrTwz3EA9nmKVvJcsuDy3Df48MXV8vAmy1LwFkkY9djs2vXR8xL4chO88mdotvXKnrD4tJWu94Uh7vIbjCb7fIPU8rAEqvfWha76E0wc9dDXDu82mSDzzjpM8zA1BPdLrBT1mg8y81SICvQGcxbt9_sG7oJJuvRgcKr2-Toq9Bg4LvLg_Fz7-Rya9miidvGxIVz2x7Pi8VIaWvDP3FLxNmuu80EMNvb-1g715ioE8WmkMu4TY2T3U9Z88d503OoZE0DyrmRC9pJz5vNlsNj3cAKI8NhLXO1pAMr2Lmrk9zHICvCCQ1TyKl0C7-xaEu1MJar1ENqA9mGdFOv3Puz14uYg9qyaIvBSbCr1dNU89-CVRPGGIPD0hySy9Yd2dO-enCD6xLF09RvJwuzMtNj0gKk09pSseO41KJT3WIyg9LPOWPGeHTj29gOg8CULkOpfe47zu8d08pWG-u1Yf2bzKA2y7ZNrIvL2fxD1qnV08qe-hPNkuBrzMofs82jPwOraSJ73OQhG97UHvu74wmTzHF8Q6lNaEvKDzpDxfHhc9MLP4uhPKDD2YJIW8mEKxu6xx9rx8j2S9gMKPOqR9vT1zyYe9L8gvOyy9Mb36jDU97QivOg-nAr0B8US9BQYgvIUntLwsRt08uZBkO5bOxzy_O4O8v_blO2GCBD36pfQ8IPusu7jlozw4no88RsIMu9DzwjzD7bW8rbQ1u41BCjxAdSC8RGgpO8akP7zkBLe8PP75uNU3dT0rFo-97rDLObcp_Tp_ukY9NfpOOb8hB7rkPsU7TtYMOnhez7xZX-683YIYOZLzVL0nNoq9n6oJua9rJb2TfUa8f6U2uspTljyTh6o8Eq8AOhGTC71biIQ8EP_KOGVEmLxyU0M9rRkxt2Adxzw2sRs9XhRZuMGMCT0sLPo736FXOv3GEj0ZmuG82ZV6uLNNIry1aOY8425pN3AKK71xOZ68yz6FuM3yK7zjJpk92s4fuOhRjLxaQHI9CeW8N7GFxTxGH5g8gJQ_uVJIz7s-PKu9T7LkOC7nkj0W4DY9JycWuck4q738lD69U5T7t_5pHr3I-ZG82X6tuIaqeD21IgC92i8DODjshLoR7sS8KwdeN8HjKz7cpWi8B4l0ubzmejycSSA9j0M2OMwvnrzKEsK82SFxN85-TTuL_5q7yef0t2EGeT3zOhK-S-epuCEytjw7OeM9BBsGOShl0r02HYE99R_UuOhVs70WJOw8zbghOOXBLD0UpY68bBkKtyAAOBNACUhtUAEqcxAAGmD_BAAYAA7J1Ttd8M3Q1QXU-STEMc3s_8Tp_wvuwef8A9TW5AH_BrsT36MAAAAL4voaHgDQe8PPyFAE8vLA2_gkKn8HMybCB-4Jsyw49ND1Myn50kUA_-aROFAGrgr7_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-QgAAwMAAABjCAABgwgAAfMIAAMBBAADYwQAAMMIAABBCAAAYwgAAgEAAABzCAAD4QQAAwMEAAABAAACAvwAAgD8AAKDAAAA4QgAApMIAAEjCIAA4E0AJSHVQASqPAhAAGoACAABUvgAAUD0AAI4-AAAwvQAAML0AACk_AACYPQAAWb8AAL6-AABsvgAABD4AANK-AAD4vQAAdD4AAOA8AABUvgAAnj4AAIi9AABcPgAAJz8AAH8_AAC2vgAAND4AABS-AAA0vgAAZL4AAIg9AAAsPgAAgLsAALI-AADaPgAArr4AADA9AACGPgAAUD0AAJg9AAAEvgAAgr4AAN6-AAAkvgAAqL0AAGy-AABMPgAABL4AALi9AABEvgAA2j4AAN6-AABcvgAA4r4AAJq-AAC4vQAAPD4AAJi9AAAkvgAA-D0AAEM_AAB8PgAAHD4AABw-AADovQAAPD4AADw-AAA0PiAAOBNACUh8UAEqjwIQARqAAgAABL4AAIC7AACSvgAAH78AABS-AAAUPgAARD4AABS-AAAwPQAAJD4AADA9AACAOwAAyD0AADC9AABEPgAA4LwAADA9AAAXPwAAbL4AAAc_AACgvAAAoLwAAEA8AAD4vQAAUD0AAIi9AACAuwAA2D0AACy-AAAQvQAA-D0AADA9AAAQPQAAiD0AALI-AACYvQAA-D0AAKI-AABMvgAAEL0AAK4-AABwvQAAML0AAFC9AAAMvgAA6L0AAH-_AABQPQAAPL4AAIi9AADoPQAAUD0AAIi9AABUPgAAUD0AACQ-AACIvQAAyD0AAMg9AACAuwAAmD0AAAw-AACoPQAAiD0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=p2b2Vb-cYCs","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["12117964817532335009"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2079840704"},"2161240128342717722":{"videoId":"2161240128342717722","docid":"34-5-8-Z1B826CA870216B61","description":"A quotient in mathematics is the result of the division of two numbers. Find quotients with help from math teacher in this free video on mathematics. Expert: Jimmy Chang Bio: Jimmy Chang has a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2348804/f32b8a0d9e1ee199cd7f3b76749a1103/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BRlsoAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DjkSNrQGbNfM","linkTemplate":"/video/preview/2161240128342717722?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematics : What Is a Quotient in Mathematics?","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=jkSNrQGbNfM\",\"src\":\"serp\",\"rvb\":\"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_E2mCBCQBgAQrKosBEAEaeIH2-_v7-wUAA_oNDQUK-gL2A_34-f39AP__9Pv9BP4A-PYEAAsAAAD-B_QH_AAAAPD-Aw__AQAABALuBgIAAAAOA_7__QAAABYG9vr-AQAA_fwJBAP_AAARCQgB_wAAAPkF_vj-AAAA_gn_AwAAAAAGAgEAAAAAACAALVmR4js4E0AJSE5QAiqEAhAAGvABf_koAdTp4__WBccAsBjpAI4WDf9BIN8AuPvoANDv_gDh9vIA9wwbAPceAgC3GggABsHU_ykDFgAAzOL-DgjwAfcP6wAvBykC7OMWAOztIv8FGhj-ByEX_xW_6wA0EOr-C_IT-R8EAwHrx_wBAOoW_-0LGgYdA_sCPLL8Ab8X5AHj3e0AzQD2-iX2DAO92ScCEOngAfw66v6uIfX9HdP0COrZEADQJwH9Of0CBOviB_y_CewANQj8-QYCA_Xr-RsF5Tkd_-T8Bf_6BgkA9f7-DCYB8vkUxOQJzAj-Ddf6Cvj35gIAIf0RANjjAwLhBf8DIAAt51gPOzgTQAlIYVACKs8HEAAawAeXPE6-yVqevGZMQbxaLQC-QUWVvFO1GzxL6Um-kFd2va1IUb0YmAU-gDPrO3-zvbubHaG-RqGbvMhnqDzqIO8983g1PJGmsDxjfJC-ZnkovdIEpbwR_D--f2B4PRBEEryAfTQ-5lG7vNpcML2BanI95tFoPRp1o7wxNZO96HGzvOsPnjzrf688Cr5pPBlxwTyONrM8GY9SPKG6Lzo1RWA-N3zBvTHeIDtSo2u8uriCPYCRoTzMG1S79iUbvPUZBr3ikgM-h6OQPDgPTDx24xs8tXp2ulbojTz6NhM9XtoQPf_GIryMeA868OMDvduyMjwmrEi9UcEhPSDeqTwW89i8Qfm2Pa2nsbrkZvg9ZkzhPRgj1DtOAqU89J2puw1Mk7yML_o9kgeeOk28gzwN3Ea9vVxfvfKp7zrpjcm858LtPOTumLt1sP49ueG1u3aegjyT3wK-1MpOuxj5K7wTvKw9cCTQPfr3T7zgTn288TSEvXcan7vgfTq9RiFuPRKpArzxKZU9wcUKPUXQPbwkXp67YvjovVMYZztTghU86KaovdtcCryhxoM9XIbJvMfbJbxz8209LZOBva9QNTwK28-8KnAVvE980rsXmSO8Zyx1vYu4SjzmCZ89beCzPFGfCTxg3De9uwTMvSq6w7qUpn87dtr_PHeIvTusw_Y8jXCou9eLfLuqHfI7HaIkuvKXFjxtAeE95J4uvazaJLhU-p49mug4vXhaTzglF-28P9MhPSU3MzsPKcS7GusxPWol6TlHT7Y9FtIrPDTOhzjycTe8bomMvUNonDdirrY9D-cmvYZ0ULT_xXm7b5CavOgENrn8s1W9dz2yvYUbMLiJirK9gFAtve1hHDkM5QS-SflFu1aRuDlEIL0936I4vRZcjrg3--I6vFQRPVxwubZxUAa8FRn9vcC3MDe4nUy9TtExvcDUEjkTpK09lr6EOxz3Erlrl9u8IJukPErucbe-58Y9AB2mvWpDhjlPH0G9UysjPGhBJjhMSqa8zmU0PGOjnriEgBy-8X7BPRnACbnHN2o9IF-CvXb5yjbBbpi92A3bOowZqjifSZG8gNUxPvhA17ht83A9i6bzPKWZTTgKqLs9XFqgOWmrGjhBg0m7oQ4wPb3bhDjxoJc7A8zhvP5c5jXsCdy84SlfvcSlY7gylO68uvi7vTYXJriq_Yy8UuQavSUb_jd2fjs97ZICvLRNWbhqTxk-qW6ZPQgCMrcHC6e8vfzuPYO0HrnwhvQ9XCx2vRHFWzhtaxC9xXmTPdUgKDggADgTQAlIbVABKnMQABpgEP4ALyMv2832O-nlvuDu1Ov_zTDC5v_-Cv8pEdn6Cjvg0eQq_xb7HrigAAAAQdr9FDQAtH_Y5uwzChwL1NLEOfxxA_Af8hkQ4pTvHe_U_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_AABUwgAAyMIAABxCAAAQwQAAYEIAAJBBAAA0QgAA8EEAALDBAAAMwgAAQMEAAGBBAADoQQAAJEIAAKLCAABQQQAAqMEAADzCAAC4wQAAqEEAAKDAAAAowgAAksIAAHDBAADIwQAAaMIAALbCAACAvwAAQMEAAOjBAACaQgAAuMEAAIC_AABIQgAAmMEAAEBAAACEwgAA-EEAAEBBAADgQAAAAMEAAFRCAAAsQgAAPMIAAJDBAABUQgAAFEIAADDCAAAIwgAASEIAALDBAAAAQQAAiMEAACDCAABYwgAACMIAAMBAAAAcQgAAAEIAAJBBAADYQQAAQMEAALhBAACAwAAAXEIAALhCAAA8wgAA4MEAADBBAADgwAAAgMAAADjCAACQwQAAcMIAAEDCAACAQQAAiEEAAAzCAACOwgAAsMEAAPDBAACaQgAA2MEAACTCAADQwQAA6EEAAOhBAAAMQgAAQMEAADjCAACYQQAAKEIAADhCAADAwAAAbEIAAPBBAAD4wSAAOBNACUh1UAEqjwIQABqAAgAAhr4AAES-AACgvAAAUD0AAHC9AADePgAAPD4AAC2_AACyvgAAML0AAIi9AADGvgAAFD4AAGw-AACYvQAAHL4AANo-AACoPQAAND4AAAs_AAB_PwAAir4AAIY-AAAQPQAAfL4AAJq-AAAUPgAAgLsAAPi9AACSPgAA0j4AAOK-AACovQAAED0AAFy-AAA8PgAAQLwAAGS-AADSvgAAcL0AABS-AACWvgAA2D0AAFC9AAAkvgAAHL4AAFQ-AADKvgAARL4AALq-AACuvgAAFL4AANY-AAAQPQAAuD0AAIg9AAB9PwAAdD4AADA9AAAcPgAA0r4AAGQ-AABAPAAAQDwgADgTQAlIfFABKo8CEAEagAIAAJi9AAD4PQAATL4AABW_AABUvgAAQLwAAPo-AACgvAAAfD4AAAy-AAAQPQAAor4AAEQ-AABkvgAAyD0AAFA9AABUPgAA4j4AAPi9AACuPgAAND4AAHA9AADYPQAAXL4AAOA8AAA0PgAATL4AAIg9AAAkvgAABL4AAJg9AAAUPgAARL4AAJi9AABwPQAAFL4AACw-AAAcPgAANL4AAOi9AADKPgAAqD0AAPg9AABAPAAAoLwAAAQ-AAB_vwAAuL0AAHS-AACAuwAAXD4AAI4-AACIvQAAND4AAEw-AAAcPgAA6L0AAOi9AABAPAAAqL0AAEC8AAAcvgAAqL0AAIC7IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=jkSNrQGbNfM","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2161240128342717722"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"471222069"},"16143990070147825631":{"videoId":"16143990070147825631","docid":"34-5-5-Z24BC0A34955C75E2","description":"#10textbook #mathtextbook #10math 10TH Grade Mathematics Textbook PAGE 58 Exercises ✏️ 10TH Grade Mathematics MEB Publications ✏️ 10TH Grade Mathematics Textbook PAGE 52 53 54 55 56 57 ✏️ 10TH...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/878316/fb611f199ee1e09b4f948a09990aacfe/564x318_1"},"target":"_self","position":"18","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWYZau9gXM_c","linkTemplate":"/video/preview/16143990070147825631?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"10TH grade mathematics textbook page 58 exercises 10TH grade mathematics meb publications","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WYZau9gXM_c\",\"src\":\"serp\",\"rvb\":\"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_vwA_gMAA_X7CQYJ_AIGB_gA9___APEB_wX2AQAA-_kK-gEAAADuBO4E_QAAAPfz_Qn4_wEABAb7B_kAAAAWDgj-9gAAAA0Y-wL-AQAA5Pr89wIAAAANCAEFAAAAAAkCCP8CAAAABQf-_gAAAAAF__v2AAAAACAALQBT2zs4E0AJSE5QAipzEAAaYN8JAGn5EPbY9uT_88XqEf7g_7M55Qv_6v8A3xIH4wUj2eEZIQAJuAr0rwAAABQP9PohAOlc4svGIhgfGLHIDigbf_8-FOMa8xX2BjPVFgUIBbDx9wDm_-j_JwK5JyAvFyAALSrvMjs4E0AJSG9QAiqvBhAMGqAGAACAvwAAMEIAADhCAAAwwQAA4MEAAAAAAAA4QgAAoMAAAETCAABQwgAAoEAAAHBBAACYwQAA4EEAAHhCAAAMQgAAoMEAAJbCAADgwAAAiEEAAMBAAACEwgAAiEEAAAhCAACAQQAATEIAAIDBAADAwAAAwEEAANhBAADIwQAAYEIAAGzCAACgQAAASMIAADBBAACIwQAA2EIAAADBAADYwQAAGMIAAIZCAAAkQgAAwMAAADDBAACYQQAAiEEAADjCAAC4QQAAjkIAABzCAABQQQAAikIAAODBAACqQgAAYEEAAFBBAAAIwgAA2EEAAEBCAACAPwAARMIAAAAAAADQwQAAHEIAAKBCAACiwgAAgEEAADBCAABwQQAAQEIAAJBCAABkwgAA-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-AAAMPgAAkj4AAFC9AABzvwAAlr4AAEC8AABQPQAAEL0AADA9AABsPgAAVD4AAOa-AABcPgAAEL0AAOi9AABBPwAADz8AAGQ-AADOPgAAoDwAACQ-AACOvgAAFD4AABC9AAC4PQAAUD0AAK4-AAAUvgAAPD4AAIg9AAB0PgAA4DwAAKC8AADgvAAApr4AAEA8AAC2vgAAQDwAAPo-AABwvQAAgDsAALg9AACoPQAA2r4AAIA7AACmvgAADL4AAHy-AABQPQAA5j4AAFy-AADgvAAAfz8AAKC8AABUvgAAHL4AAOg9AAB8PgAAhj4AADy-IAA4E0AJSHxQASqPAhABGoACAACovQAAmD0AAIi9AAAjvwAAED0AAJi9AAB8PgAA-L0AAKC8AAAQPQAA2D0AAIi9AAAcvgAAmr4AALg9AABQPQAAFL4AACU_AACgPAAAwj4AAFA9AADIvQAAFL4AADS-AAAQPQAAoDwAAIA7AAC4PQAAJL4AAOC8AACIPQAAmD0AAEA8AABQvQAAyD0AABy-AABQvQAA2D0AAJq-AAAwPQAAlj4AABC9AADoPQAAmL0AABy-AAAcvgAAf78AAFy-AADIPQAAmL0AAIA7AADgPAAAHL4AACy-AACqPgAAED0AALi9AACIPQAA2L0AAPg9AAAQvQAAUL0AAEC8AADYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=WYZau9gXM_c","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["16143990070147825631"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12969722982561102402":{"videoId":"12969722982561102402","docid":"34-10-6-Z6CC95B05DD16AE77","description":"MEB 2ND TERM 1ST Written Question Sample Solutions: • 9.Sinif Matematik 2.Dönem 1.Yazili SORU ÖR... . 93 94 95 Measurement AND Evaluation // BOOK 2 MEB 1ST TERM 1ST Written EXAM Sample Questions...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1783047/74406b1d6eb66ff0b1529cdee6b0bdab/564x318_1"},"target":"_self","position":"19","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_X99SIzWyUo","linkTemplate":"/video/preview/12969722982561102402?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9TH grade mathematics book page 98 pre-assessment questions // 9TH grade mathematics book 2","related_orig_text":"MatheNatic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"MatheNatic\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_X99SIzWyUo\",\"src\":\"serp\",\"rvb\":\"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_wIA-e0JCQYH_AEGB_gA9___APn_BQD6BP4A-PYEAAwAAADzCP33-QAAAP4D_xD3_gEAChD9DAQAAAAhDwMEAAD_AAoPAwD-AQAA7v4A9gIAAAAKCgT7_wAAAAX3B_0AAAAABQ35AwAAAAANAvL3AAAAACAALV612Ds4E0AJSE5QAipzEAAaYPQDAEP8D9Te-OoI6c3mBvjn98Uo7vr_5voA9e763QMc8dsC-wAFyQL9vwAAABn77gEtAPBL7N2yMggYEdnW_wvzfw0eF-EO-Q8BJUPrCBYM-bLuDgAE9eD4HgzQCx0eICAALbY6Uzs4E0AJSG9QAiqvBhAMGqAGAABwwQAAIEEAAJhBAABwwQAAwEEAAHBBAABQQgAA-MEAAKDAAABEwgAACEIAABBCAABMwgAAHEIAAIxCAACQQQAAMMIAABjCAAAgQQAAmMEAAHBBAADIwQAA0EEAADBBAACAvwAAOEIAACDCAAAwwQAAHEIAACBCAABQwQAAUEEAAKDCAAAgwQAApMIAACTCAAAAwQAAHEIAAEDBAABgwQAAgD8AALJCAABEQgAA0EEAAADAAACgQQAAwMAAAKDAAAAwQgAAPEIAADDBAADoQQAAWEIAAGDBAAC4QgAAMMEAAKDAAAC4QQAA2EEAAPBBAAAcwgAAaMIAAFTCAACQwQAAaEIAAMZCAABAwAAAqMEAAIC_AACwwQAArEIAAChCAAAkwgAAoEIAAGDBAAAIwgAADMIAAMBAAAAswgAAmEEAABDCAADAQAAAuMEAABhCAACAwAAAWEIAAHhCAADwQQAA6EEAAGjCAADAwQAA0EIAAKBAAAB0wgAAdEIAAJLCAACQQQAAqEEAAGxCAACYQQAA-MEAAIhBAACAQAAAoMAAAHTCAAAYwgAAkMEAAIBBAABgQQAAgMAAALRCAABAwAAAqMEAADDCAAA8wgAAMMEAAHzCAAAQwgAA4EEAAJTCAAAkwgAA0MEAAADBAAAAwQAAqEEAAERCAADYwQAAcMIAAMBAAAAAQAAAAEEAAIDBAAC0wgAA2EIAAHDBAABUQgAAuEEAADRCAABowgAAYMEAAABBAABAQQAAkEEAAIA_AADwQQAAMEEAAODBAAAwQgAAAMEAABxCAAC2wgAAAMAAAJBCAAAAQAAA0EEAACxCAACYwQAAnMIAADBBAACoQgAAwMEAAOBAAAAAQQAAUEEAABBCAAAYwgAAKEIAAIA_AAAcQgAAwMAAALDBAAA8QgAAuMEAAKDBAADowQAAdMIAACDBAAAgwQAACEIAAIA_AACIQQAAPMIAALjBAABgQQAAJEIAAIhBAABQQQAAJEIAAJDBAAAIQgAAAAAAAABBAAAoQgAAjEIAAMBCAACcQgAAmEEAAGBBAACkwgAAgMAgADgTQAlIdVABKo8CEAAagAIAAIK-AACIvQAATL4AAAQ-AAAwvQAACz8AAFC9AABlvwAAfL4AAJY-AABwPQAAcL0AALi9AAAMPgAAEL0AAP6-AACKPgAAML0AABA9AAB_PwAATT8AAAS-AAD4PQAAcL0AALi9AACgvAAAMD0AABA9AABwvQAAJD4AAKo-AADYvQAAXD4AAJo-AADoPQAAqL0AADC9AAD4PQAAqr4AACQ-AAA8vgAAbL4AAAw-AABQvQAAfL4AABA9AADSPgAAwr4AAHy-AACWvgAAdL4AAIa-AACiPgAAAT8AAGS-AACIPQAAbz8AAI4-AAA0vgAA4DwAAPi9AABMPgAAND4AANi9IAA4E0AJSHxQASqPAhABGoACAAA0vgAAoDwAAEQ-AAAVvwAAmD0AAMi9AAAcPgAAoLwAALg9AAC4vQAAcL0AAHC9AAAwvQAAfL4AADQ-AADIPQAAoDwAADE_AACgPAAAvj4AAEC8AADovQAAgr4AAJi9AAAwPQAAEL0AACQ-AACIPQAAFL4AAOA8AACAuwAAFD4AAHA9AAAQPQAAHD4AAOA8AACAuwAABD4AAJK-AAC4PQAABD4AAMi9AACIPQAAML0AAOi9AACavgAAf78AAMi9AACYvQAAFL4AAOA8AACAOwAA6L0AACy-AABUPgAAuD0AADC9AACYPQAAmL0AADw-AADgvAAAZL4AALi9AAA8PiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=_X99SIzWyUo","parent-reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["12969722982561102402"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false}},"dups":{"8438321001026303402":{"videoId":"8438321001026303402","title":"Introduction to \u0007[Mathematics\u0007]","cleanTitle":"Introduction to Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/live/JbhBdOfMEPs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JbhBdOfMEPs?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":"d3d3LnlvdXR1YmUuY29tO1VDMGNkXy1lNDloWnBXTEgzVUl3b1dSQQ==","name":"Professor Dave Explains","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Professor+Dave+Explains","origUrl":"http://www.youtube.com/@ProfessorDaveExplains","a11yText":"Professor Dave Explains. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":403,"text":"6:43","a11yText":"Süre 6 dakika 43 saniye","shortText":"6 dk."},"views":{"text":"1,4milyon","a11yText":"1,4 milyon izleme"},"date":"2 ağu 2017","modifyTime":1501632000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JbhBdOfMEPs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JbhBdOfMEPs","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":403},"parentClipId":"8438321001026303402","href":"/preview/8438321001026303402?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/8438321001026303402?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5983597637257482367":{"videoId":"5983597637257482367","title":"Explained ALL of \u0007[Mathematics\u0007] in Just 9 Minutes","cleanTitle":"Explained ALL of Mathematics in Just 9 Minutes","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=e9eNW63ZJWo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/e9eNW63ZJWo?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":"d3d3LnlvdXR1YmUuY29tO1VDNGZfUVFFYWtMMk8yaFVyZDExcEJTdw==","name":"Golovolom","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Golovolom","origUrl":"http://www.youtube.com/@Golovolom228","a11yText":"Golovolom. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":535,"text":"8:55","a11yText":"Süre 8 dakika 55 saniye","shortText":"8 dk."},"date":"10 mar 2026","modifyTime":1773095463000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/e9eNW63ZJWo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=e9eNW63ZJWo","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":535},"parentClipId":"5983597637257482367","href":"/preview/5983597637257482367?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/5983597637257482367?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7805134928835403731":{"videoId":"7805134928835403731","title":"Matematiksel İspatlarda Bağlayıcılar ve Niceleyiciler","cleanTitle":"Matematiksel İspatlarda Bağlayıcılar ve Niceleyiciler","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/Pw2neqgxQII","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Pw2neqgxQII?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":"d3d3LnlvdXR1YmUuY29tO1VDeUtLRF9UNjgzX00yLWNtblZ3dEZmZw==","name":"tonguç KAMPÜS","isVerified":true,"subscribersCount":0,"url":"/video/search?text=tongu%C3%A7+KAMP%C3%9CS","origUrl":"http://www.youtube.com/@kampus","a11yText":"tonguç KAMPÜS. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":92,"text":"1:32","a11yText":"Süre 1 dakika 32 saniye","shortText":"1 dk."},"modifyTime":1773518183000,"freshBadge":"Dün","isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Pw2neqgxQII?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Pw2neqgxQII","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":92},"parentClipId":"7805134928835403731","href":"/preview/7805134928835403731?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/7805134928835403731?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8706157421079737710":{"videoId":"8706157421079737710","title":"Understanding the Word Maths – \u0007[Mathematics\u0007] Basics #maths #mathematica #education #\u0007[mathematics\u0007...","cleanTitle":"Understanding the Word Maths – Mathematics Basics #maths #mathematica #education #mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1_ClndAUAg0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1_ClndAUAg0?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":"d3d3LnlvdXR1YmUuY29tO1VDTDVlaFlJQVNSbnU3bm1ETHQxT0pZdw==","name":"MathIQ","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MathIQ","origUrl":"http://www.youtube.com/@MathIQ77","a11yText":"MathIQ. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":67,"text":"1:07","a11yText":"Süre 1 dakika 7 saniye","shortText":"1 dk."},"modifyTime":1773472806000,"freshBadge":"Dün","isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1_ClndAUAg0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1_ClndAUAg0","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":67},"parentClipId":"8706157421079737710","href":"/preview/8706157421079737710?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/8706157421079737710?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16476497882297447600":{"videoId":"16476497882297447600","title":"Linear Algebra Course – \u0007[Mathematics\u0007] for Machine Learning and Generative AI","cleanTitle":"Linear Algebra Course – Mathematics for Machine Learning and Generative AI","host":{"title":"YouTube","href":"http://www.youtube.com/live/rSjt1E9WHaQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rSjt1E9WHaQ?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":"d3d3LnlvdXR1YmUuY29tO1VDOGJ1dElTRndULVdsN0VWMGhVSzBCUQ==","name":"freeCodeCamp.org","isVerified":true,"subscribersCount":0,"url":"/video/search?text=freeCodeCamp.org","origUrl":"http://www.youtube.com/@freecodecamp","a11yText":"freeCodeCamp.org. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":21911,"text":"6:05:11","a11yText":"Süre 6 saat 5 dakika 11 saniye","shortText":"6 sa. 5 dk."},"views":{"text":"354,1bin","a11yText":"354,1 bin izleme"},"date":"27 mayıs 2024","modifyTime":1716833529000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rSjt1E9WHaQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rSjt1E9WHaQ","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":21911},"parentClipId":"16476497882297447600","href":"/preview/16476497882297447600?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/16476497882297447600?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"923267686766504875":{"videoId":"923267686766504875","title":"7th Grade Math | Percentage Problems | Lesson 15 | 2026","cleanTitle":"7th Grade Math | Percentage Problems | Lesson 15 | 2026","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=3hkzfcVYPNI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3hkzfcVYPNI?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":"d3d3LnlvdXR1YmUuY29tO1VDUm5UOTZQSk9yNEtlTUVqaGl6RU1mZw==","name":"Partikül Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Partik%C3%BCl+Matematik","origUrl":"http://www.youtube.com/@Partik%C3%BClMatematik","a11yText":"Partikül Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2166,"text":"36:06","a11yText":"Süre 36 dakika 6 saniye","shortText":"36 dk."},"views":{"text":"8,8bin","a11yText":"8,8 bin izleme"},"date":"8 mar 2026","modifyTime":1772959312000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3hkzfcVYPNI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3hkzfcVYPNI","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":2166},"parentClipId":"923267686766504875","href":"/preview/923267686766504875?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/923267686766504875?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10653760658944869312":{"videoId":"10653760658944869312","title":"Discrete \u0007[Mathematics\u0007] Course for Beginners","cleanTitle":"Discrete Mathematics Course for Beginners","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=G9JxuWk7BDA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/G9JxuWk7BDA?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":"d3d3LnlvdXR1YmUuY29tO1VDOGJ1dElTRndULVdsN0VWMGhVSzBCUQ==","name":"freeCodeCamp.org","isVerified":true,"subscribersCount":0,"url":"/video/search?text=freeCodeCamp.org","origUrl":"http://www.youtube.com/@freecodecamp","a11yText":"freeCodeCamp.org. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":32736,"text":"9:05:36","a11yText":"Süre 9 saat 5 dakika 36 saniye","shortText":"9 sa. 5 dk."},"views":{"text":"105,7bin","a11yText":"105,7 bin izleme"},"date":"13 kas 2025","modifyTime":1763043707000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/G9JxuWk7BDA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=G9JxuWk7BDA","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":32736},"parentClipId":"10653760658944869312","href":"/preview/10653760658944869312?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/10653760658944869312?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14859536777382560183":{"videoId":"14859536777382560183","title":"The 7 Levels of \u0007[Mathematics\u0007]","cleanTitle":"The 7 Levels of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/live/gYv8BYINOzU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/gYv8BYINOzU?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":"d3d3LnlvdXR1YmUuY29tO1VDMzlWbkVkUnZnSm1JS0JEZG1qMGRJUQ==","name":"The Unqualified Tutor","isVerified":false,"subscribersCount":0,"url":"/video/search?text=The+Unqualified+Tutor","origUrl":"http://www.youtube.com/@TheUnqualifiedTutor","a11yText":"The Unqualified Tutor. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":368,"text":"6:08","a11yText":"Süre 6 dakika 8 saniye","shortText":"6 dk."},"views":{"text":"974bin","a11yText":"974 bin izleme"},"date":"15 ara 2024","modifyTime":1734274845000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/gYv8BYINOzU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=gYv8BYINOzU","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":368},"parentClipId":"14859536777382560183","href":"/preview/14859536777382560183?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/14859536777382560183?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9396134368693571631":{"videoId":"9396134368693571631","title":"AYT \u0007[Mathematics\u0007] Questions That Guarantee a Score Increase and the Top 10 Questions","cleanTitle":"AYT Mathematics Questions That Guarantee a Score Increase and the Top 10 Questions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=oAcEuTcP8oc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/oAcEuTcP8oc?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":"d3d3LnlvdXR1YmUuY29tO1VDVWpRUEZkdHFUZFdtcFJ0ZVI5cTlUdw==","name":"Sıfırdan Sonsuza Matematik","isVerified":true,"subscribersCount":0,"url":"/video/search?text=S%C4%B1f%C4%B1rdan+Sonsuza+Matematik","origUrl":"http://www.youtube.com/@S%C4%B1f%C4%B1rdanSonsuzaMatematik","a11yText":"Sıfırdan Sonsuza Matematik. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":646,"text":"10:46","a11yText":"Süre 10 dakika 46 saniye","shortText":"10 dk."},"date":"10 mar 2026","modifyTime":1773162006000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/oAcEuTcP8oc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=oAcEuTcP8oc","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":646},"parentClipId":"9396134368693571631","href":"/preview/9396134368693571631?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/9396134368693571631?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5554157024930621954":{"videoId":"5554157024930621954","title":"10TH grade \u0007[mathematics\u0007] textbook page 82-83-84-85-86-87 10TH grade \u0007[mathematics\u0007] meb publicati...","cleanTitle":"10TH grade mathematics textbook page 82-83-84-85-86-87 10TH grade mathematics meb publications","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=tfSOa0414p0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/tfSOa0414p0?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":"d3d3LnlvdXR1YmUuY29tO1VDWllLdXB4WlUxOFdlR0VObXJRSmoyQQ==","name":"Eğitimhane","isVerified":false,"subscribersCount":0,"url":"/video/search?text=E%C4%9Fitimhane","origUrl":"http://www.youtube.com/@E%C4%9Fitimhane-j3e","a11yText":"Eğitimhane. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1907,"text":"31:47","a11yText":"Süre 31 dakika 47 saniye","shortText":"31 dk."},"views":{"text":"24,1bin","a11yText":"24,1 bin izleme"},"date":"8 eki 2025","modifyTime":1759943685000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/tfSOa0414p0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=tfSOa0414p0","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":1907},"parentClipId":"5554157024930621954","href":"/preview/5554157024930621954?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/5554157024930621954?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16063786870183877422":{"videoId":"16063786870183877422","title":"\u0007[Mathematical\u0007] Symbols Explained | Meaning, Uses & Examples in Math","cleanTitle":"Mathematical Symbols Explained | Meaning, Uses & Examples in Math","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=GTd3-ebAnLg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/GTd3-ebAnLg?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":"d3d3LnlvdXR1YmUuY29tO1VDd3RyMzZJdlY3dDJycUx5aDBmRXRqdw==","name":"Joe's CONCEPT Vlogs","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Joe%27s+CONCEPT+Vlogs","origUrl":"https://www.youtube.com/channel/UCwtr36IvV7t2rqLyh0fEtjw","a11yText":"Joe's CONCEPT Vlogs. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":630,"text":"10:30","a11yText":"Süre 10 dakika 30 saniye","shortText":"10 dk."},"views":{"text":"1,3bin","a11yText":"1,3 bin izleme"},"date":"24 mar 2023","modifyTime":1679616000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/GTd3-ebAnLg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=GTd3-ebAnLg","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":630},"parentClipId":"16063786870183877422","href":"/preview/16063786870183877422?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/16063786870183877422?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11028985195965863570":{"videoId":"11028985195965863570","title":"Basics of Discrete \u0007[Mathematics\u0007] | Discrete \u0007[Mathematics\u0007] Full Course | Great Learning","cleanTitle":"Basics of Discrete Mathematics | Discrete Mathematics Full Course | Great Learning","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FMh8qNV3PHk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FMh8qNV3PHk?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":"d3d3LnlvdXR1YmUuY29tO1VDT2JzMGtMSXJEalgyTExTeWJxTmFFQQ==","name":"Great Learning","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Great+Learning","origUrl":"http://www.youtube.com/@greatlearning","a11yText":"Great Learning. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":13294,"text":"3:41:34","a11yText":"Süre 3 saat 41 dakika 34 saniye","shortText":"3 sa. 41 dk."},"views":{"text":"73,1bin","a11yText":"73,1 bin izleme"},"date":"18 şub 2022","modifyTime":1645192212000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FMh8qNV3PHk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FMh8qNV3PHk","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":13294},"parentClipId":"11028985195965863570","href":"/preview/11028985195965863570?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/11028985195965863570?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14610814128129284732":{"videoId":"14610814128129284732","title":"9TH grade \u0007[mathematics\u0007] textbook page 17 18 9TH grade \u0007[mathematics\u0007] book 1","cleanTitle":"9TH grade mathematics textbook page 17 18 9TH grade mathematics book 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=F4sb6ZcQCTU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/F4sb6ZcQCTU?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":"d3d3LnlvdXR1YmUuY29tO1VDWllLdXB4WlUxOFdlR0VObXJRSmoyQQ==","name":"Eğitimhane","isVerified":false,"subscribersCount":0,"url":"/video/search?text=E%C4%9Fitimhane","origUrl":"http://www.youtube.com/@E%C4%9Fitimhane-j3e","a11yText":"Eğitimhane. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":654,"text":"10:54","a11yText":"Süre 10 dakika 54 saniye","shortText":"10 dk."},"views":{"text":"32,3bin","a11yText":"32,3 bin izleme"},"date":"14 eyl 2025","modifyTime":1757846046000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/F4sb6ZcQCTU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=F4sb6ZcQCTU","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":654},"parentClipId":"14610814128129284732","href":"/preview/14610814128129284732?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/14610814128129284732?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12117964817532335009":{"videoId":"12117964817532335009","title":"Introduction to Discrete \u0007[Mathematics\u0007]","cleanTitle":"Introduction to Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/live/p2b2Vb-cYCs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/p2b2Vb-cYCs?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":"d3d3LnlvdXR1YmUuY29tO1VDUVlNaE9NaV9DZGoxQ0VBVS1mdjgwQQ==","name":"Neso Academy","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Neso+Academy","origUrl":"http://www.youtube.com/@nesoacademy","a11yText":"Neso Academy. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":576,"text":"9:36","a11yText":"Süre 9 dakika 36 saniye","shortText":"9 dk."},"views":{"text":"1,6milyon","a11yText":"1,6 milyon izleme"},"date":"13 nis 2018","modifyTime":1523577600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/p2b2Vb-cYCs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=p2b2Vb-cYCs","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":576},"parentClipId":"12117964817532335009","href":"/preview/12117964817532335009?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/12117964817532335009?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2161240128342717722":{"videoId":"2161240128342717722","title":"\u0007[Mathematics\u0007] : What Is a Quotient in \u0007[Mathematics\u0007]?","cleanTitle":"Mathematics : What Is a Quotient in Mathematics?","host":{"title":"YouTube","href":"http://www.youtube.com/watch/jkSNrQGbNfM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/jkSNrQGbNfM?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":"d3d3LnlvdXR1YmUuY29tO1VDUVJjRzlvMnBCaE1YOW11cUxZSW1tdw==","name":"eHowEducation","isVerified":true,"subscribersCount":0,"url":"/video/search?text=eHowEducation","origUrl":"http://www.youtube.com/@eHowEducation","a11yText":"eHowEducation. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":105,"text":"1:45","a11yText":"Süre 1 dakika 45 saniye","shortText":"1 dk."},"views":{"text":"253,3bin","a11yText":"253,3 bin izleme"},"date":"21 eyl 2010","modifyTime":1285027200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/jkSNrQGbNfM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=jkSNrQGbNfM","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":105},"parentClipId":"2161240128342717722","href":"/preview/2161240128342717722?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/2161240128342717722?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16143990070147825631":{"videoId":"16143990070147825631","title":"10TH grade \u0007[mathematics\u0007] textbook page 58 exercises 10TH grade \u0007[mathematics\u0007] meb publications","cleanTitle":"10TH grade mathematics textbook page 58 exercises 10TH grade mathematics meb publications","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WYZau9gXM_c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WYZau9gXM_c?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":"d3d3LnlvdXR1YmUuY29tO1VDWllLdXB4WlUxOFdlR0VObXJRSmoyQQ==","name":"Eğitimhane","isVerified":false,"subscribersCount":0,"url":"/video/search?text=E%C4%9Fitimhane","origUrl":"http://www.youtube.com/@E%C4%9Fitimhane-j3e","a11yText":"Eğitimhane. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":594,"text":"9:54","a11yText":"Süre 9 dakika 54 saniye","shortText":"9 dk."},"views":{"text":"27,9bin","a11yText":"27,9 bin izleme"},"date":"28 eyl 2025","modifyTime":1759089901000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WYZau9gXM_c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WYZau9gXM_c","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":594},"parentClipId":"16143990070147825631","href":"/preview/16143990070147825631?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/16143990070147825631?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12969722982561102402":{"videoId":"12969722982561102402","title":"9TH grade \u0007[mathematics\u0007] book page 98 pre-assessment questions // 9TH grade \u0007[mathematics\u0007] book 2","cleanTitle":"9TH grade mathematics book page 98 pre-assessment questions // 9TH grade mathematics book 2","host":{"title":"YouTube","href":"http://www.youtube.com/live/_X99SIzWyUo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_X99SIzWyUo?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":"d3d3LnlvdXR1YmUuY29tO1VDWllLdXB4WlUxOFdlR0VObXJRSmoyQQ==","name":"Eğitimhane","isVerified":false,"subscribersCount":0,"url":"/video/search?text=E%C4%9Fitimhane","origUrl":"http://www.youtube.com/c/E%C4%9Fitimhanem","a11yText":"Eğitimhane. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":982,"text":"16:22","a11yText":"Süre 16 dakika 22 saniye","shortText":"16 dk."},"views":{"text":"10bin","a11yText":"10 bin izleme"},"date":"19 şub 2025","modifyTime":1739923200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_X99SIzWyUo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_X99SIzWyUo","reqid":"1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL","duration":982},"parentClipId":"12969722982561102402","href":"/preview/12969722982561102402?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","rawHref":"/video/preview/12969722982561102402?parent-reqid=1773536168529139-14507815857243519476-balancer-l7leveler-kubr-yp-sas-16-BAL&text=MatheNatic","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"4507815857243519476716","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"MatheNatic","queryUriEscaped":"Mathematics","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"}}}