Номер 12, страница 7, часть 1 - гдз по алгебре 8 класс рабочая тетрадь Крайнева, Миндюк

Авторы: Крайнева Л. Б., Миндюк Н. Г., Шлыкова И. С.

Тип: рабочая тетрадь

Издательство: Просвещение

Уровень обучения: базовый

Часть: 1

Цвет обложки: белый

ISBN: 978-5-09-110334-2 (2024)

Часть 1. Глава 1. Рациональные дроби. 1. Рациональное выражение - номер 12, страница 7.

App\Models\Task {#1030 // resources/views/models/task/default.blade.php
  #connection: "mysql"
  #table: "tasks"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:24 [
    "id" => 2125649
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "7"
    "field_page_end" => null
    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-12"
    "field_display_title" => "12"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037
      #items: array:1 [
        0 => App\Models\Term {#1036
          #connection: "mysql"
          #table: "terms"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #original: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1077
      #items: array:1 [
        0 => App\Models\Branch {#1034
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125372
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1039
              #items: array:1 [
                0 => App\Models\Term {#1038
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
                  #original: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1040
              #items: array:1 [
                0 => App\Models\Book {#1041
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1042 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1045 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1047 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1049 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1053 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1054 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1056 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1058 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1060 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1061 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1062 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1064 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1066 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1068 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1069 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1070 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1071 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1072 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #original: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1042 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1045 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1047 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1049 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1053 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1054 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1056 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1058 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1060 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1061 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1062 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1064 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1066 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1068 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1069 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1070 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1071 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1072 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1074
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 2125372
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1039}
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1040}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1074}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1238
      #items: array:3 [
        0 => App\Models\Branch {#1075
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125372
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1078
              #items: array:1 [
                0 => App\Models\Term {#1076
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
                  #original: array:7 [
                    "id" => 31
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Часть"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => "1"
                    "field_short_name" => "ч."
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1079
              #items: array:1 [
                0 => App\Models\Book {#1080
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1081 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1084 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1086 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1088 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1092 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1093 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1095 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1097 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1099 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1100 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1101 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1103 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1105 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1107 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1108 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1109 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1110 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1111 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #original: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1081 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1084 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1086 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1088 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1092 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1093 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1095 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1097 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1099 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1100 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1101 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1103 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1105 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1107 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1108 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1109 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1110 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1111 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1113
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 2125372
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => null
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1078}
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1079}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1113}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Branch {#1114
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125373
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Рациональные дроби"
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1115
              #items: array:1 [
                0 => App\Models\Term {#1116
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #original: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [ …6]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1117
              #items: array:1 [
                0 => App\Models\Book {#1118
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1119 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1122 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1126 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1130 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1131 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1133 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1135 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1137 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1138 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1139 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1141 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1143 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1145 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1146 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1147 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1148 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1149 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #original: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1119 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1122 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1126 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1130 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1131 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1133 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1135 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1137 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1138 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1139 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1141 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1143 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1145 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1146 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1147 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1148 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1149 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1151
              #items: array:1 [
                0 => App\Models\Branch {#1152
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 2125372
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => null
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1155 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1156 …2}
                  ]
                  #original: array:24 [
                    "id" => 2125372
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => null
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1155 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1156 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 2125373
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Рациональные дроби"
            "field_branch_order" => "1"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1115}
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1117}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1151}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        2 => App\Models\Branch {#1157
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 2125377
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "1. Рациональное выражение"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1158
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "7"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1159
              #items: array:1 [
                0 => App\Models\Book {#1160
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1161 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1164 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1166 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1168 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1172 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1173 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1175 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1177 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1179 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1180 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1181 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1183 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1185 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1187 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1188 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1189 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1190 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1191 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #original: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1161 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1164 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1166 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1168 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1172 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1173 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1175 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1177 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1179 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1180 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1181 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1183 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1185 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1187 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1188 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1189 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1190 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1191 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1193
              #items: array:1 [
                0 => App\Models\Branch {#1194
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 2125373
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Рациональные дроби"
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1195 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1197 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1231 …2}
                  ]
                  #original: array:24 [
                    "id" => 2125373
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => "Рациональные дроби"
                    "field_branch_order" => "1"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1195 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1197 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1231 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 2125377
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "1. Рациональное выражение"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1158}
            "field_page_start" => "7"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1159}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1193}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1239
      #items: []
      #escapeWhenCastingToString: false
    }
    "next" => array:2 [
      "refs" => "2125650"
      "type" => "task"
    ]
    "previous" => array:2 [
      "refs" => "2125648"
      "type" => "task"
    ]
    "book" => Illuminate\Database\Eloquent\Collection {#1274
      #items: array:1 [
        0 => App\Models\Book {#1237
          #connection: "mysql"
          #table: "books"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:50 [
            "id" => 6975
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1241
              #items: array:2 [
                0 => App\Models\Term {#1240
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 6471
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Алгебра"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [ …6]
                    "field_foreign_lang_name" => null
                    "field_short_name" => null
                    "field_subject_type" => "technical_subject"
                    "field_translit" => "algebra"
                  ]
                  #original: array:10 [
                    "id" => 6471
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Алгебра"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [ …6]
                    "field_foreign_lang_name" => null
                    "field_short_name" => null
                    "field_subject_type" => "technical_subject"
                    "field_translit" => "algebra"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Term {#1242
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 6484
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Математика"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [ …6]
                    "field_foreign_lang_name" => null
                    "field_short_name" => null
                    "field_subject_type" => "technical_subject"
                    "field_translit" => "matematika"
                  ]
                  #original: array:10 [
                    "id" => 6484
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Математика"
                    "field_abbreviated_name" => null
                    "field_cases" => array:6 [ …6]
                    "field_foreign_lang_name" => null
                    "field_short_name" => null
                    "field_subject_type" => "technical_subject"
                    "field_translit" => "matematika"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_class" => Illuminate\Database\Eloquent\Collection {#1243
              #items: array:1 [
                0 => App\Models\Term {#1244
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 5457
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "8"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "vosmoj"
                  ]
                  #original: array:6 [
                    "id" => 5457
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "8"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "vosmoj"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1245
              #items: array:1 [
                0 => App\Models\Term {#1246
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 5153
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Просвещение"
                    "field_cases" => null
                    "field_translit" => "prosveschenie"
                  ]
                  #original: array:6 [
                    "id" => 5153
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Просвещение"
                    "field_cases" => null
                    "field_translit" => "prosveschenie"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author" => Illuminate\Database\Eloquent\Collection {#1247
              #items: array:3 [
                0 => App\Models\Term {#1248
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 4766
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Крайнева"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Лариса"
                    "field_patronymic" => "Борисовна"
                    "field_surname_rp" => null
                  ]
                  #original: array:12 [
                    "id" => 4766
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Крайнева"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Лариса"
                    "field_patronymic" => "Борисовна"
                    "field_surname_rp" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                1 => App\Models\Term {#1249
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 5203
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Миндюк"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Нора"
                    "field_patronymic" => "Григорьевна"
                    "field_surname_rp" => null
                  ]
                  #original: array:12 [
                    "id" => 5203
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Миндюк"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Нора"
                    "field_patronymic" => "Григорьевна"
                    "field_surname_rp" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
                2 => App\Models\Term {#1250
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:12 [
                    "id" => 6352
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Шлыкова"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Инга"
                    "field_patronymic" => "Соломоновна"
                    "field_surname_rp" => null
                  ]
                  #original: array:12 [
                    "id" => 6352
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Шлыкова"
                    "field_bio" => null
                    "field_degree_rp" => null
                    "field_foreign_lang_name" => null
                    "field_foreign_lang_patronymic" => null
                    "field_foreign_lang_surname" => null
                    "field_name" => "Инга"
                    "field_patronymic" => "Соломоновна"
                    "field_surname_rp" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1251
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1252
              #items: array:1 [
                0 => App\Models\Term {#1253
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 6736
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "рабочая тетрадь"
                    "field_book_type_foreign" => null
                    "field_cases" => array:6 [ …6]
                    "field_plural_form" => "рабочие тетради"
                    "field_short_name" => "рт"
                    "field_short_name_foreign" => null
                    "field_translit" => "rabochaya tetrad"
                  ]
                  #original: array:10 [
                    "id" => 6736
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "рабочая тетрадь"
                    "field_book_type_foreign" => null
                    "field_cases" => array:6 [ …6]
                    "field_plural_form" => "рабочие тетради"
                    "field_short_name" => "рт"
                    "field_short_name_foreign" => null
                    "field_translit" => "rabochaya tetrad"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_country" => Illuminate\Database\Eloquent\Collection {#1254
              #items: array:1 [
                0 => App\Models\Term {#1255
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 9
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Россия"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "rossiya"
                  ]
                  #original: array:6 [
                    "id" => 9
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Россия"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "rossiya"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_city" => Illuminate\Database\Eloquent\Collection {#1256
              #items: array:1 [
                0 => App\Models\Term {#1257
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 15
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Москва"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "moskva"
                  ]
                  #original: array:6 [
                    "id" => 15
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Москва"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "moskva"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_series" => Illuminate\Database\Eloquent\Collection {#1258
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1259
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1260
              #items: array:1 [
                0 => App\Models\Term {#1261
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 38
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "базовый"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "bazovyy"
                  ]
                  #original: array:6 [
                    "id" => 38
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "базовый"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "bazovyy"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1262
              #items: array:1 [
                0 => App\Models\Term {#1263
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:10 [
                    "id" => 25
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "ФГОС (новый)"
                    "field_cases" => array:6 [ …6]
                    "field_color" => "красный"
                    "field_end_year" => "2027"
                    "field_start_year" => "2023"
                    "field_translit" => "fgos"
                    "field_type" => "новый"
                  ]
                  #original: array:10 [
                    "id" => 25
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "ФГОС (новый)"
                    "field_cases" => array:6 [ …6]
                    "field_color" => "красный"
                    "field_end_year" => "2027"
                    "field_start_year" => "2023"
                    "field_translit" => "fgos"
                    "field_type" => "новый"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_publication_number" => "13"
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1264
              #items: array:1 [
                0 => App\Models\Term {#1265
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 34
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "переработанное"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "pererabotannoe"
                  ]
                  #original: array:6 [
                    "id" => 34
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "переработанное"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "pererabotannoe"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1266
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => null
            "field_publication_year_until" => null
            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебное пособие"
            "field_allowed" => null
            "field_reserve_field" => null
            "field_link_to_source" => null
            "field_tasks_count" => "587"
            "field_priority" => null
            "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
            "field_isbn" => "978-5-09-110334-2 (2024)"
            "field_cover" => array:2 [
              0 => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover1.webp?ts=1765217547"
              1 => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
            ]
            "field_cover_alts" => array:2 [
              0 => "часть 1"
              1 => "часть 2"
            ]
            "field_covers" => array:2 [
              0 => array:4 [
                "path" => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover1.webp?ts=1765217547"
                "alt" => "часть 1"
                "width" => "1200"
                "height" => "1576"
              ]
              1 => array:4 [
                "path" => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
                "alt" => "часть 2"
                "width" => "1200"
                "height" => "1576"
              ]
            ]
            "field_popular_book" => "0"
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1267
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1268
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1269
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1270
              #items: array:1 [
                0 => App\Models\Term {#1271
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:6 [
                    "id" => 45
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "белый"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "belyy"
                  ]
                  #original: array:6 [
                    "id" => 45
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "белый"
                    "field_cases" => array:6 [ …6]
                    "field_translit" => "belyy"
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "breadcrumbs" => array:3 [
              "class" => 379
              "subject" => 542
              "class_subject" => 385
            ]
          ]
          #original: array:50 [
            "id" => 6975
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_tree_default_status" => "tasks"
            "field_pages_status" => null
            "field_subject" => Illuminate\Database\Eloquent\Collection {#1241}
            "field_class" => Illuminate\Database\Eloquent\Collection {#1243}
            "field_publisher" => Illuminate\Database\Eloquent\Collection {#1245}
            "field_author" => Illuminate\Database\Eloquent\Collection {#1247}
            "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1251}
            "field_book_type" => Illuminate\Database\Eloquent\Collection {#1252}
            "field_country" => Illuminate\Database\Eloquent\Collection {#1254}
            "field_city" => Illuminate\Database\Eloquent\Collection {#1256}
            "field_series" => Illuminate\Database\Eloquent\Collection {#1258}
            "field_umk" => Illuminate\Database\Eloquent\Collection {#1259}
            "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1260}
            "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1262}
            "field_publication_number" => "13"
            "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1264}
            "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1266}
            "field_under_the_edition_degree" => null
            "field_cover_description" => null
            "field_publication_year" => null
            "field_publication_year_until" => null
            "field_part" => ""
            "field_part_writing" => ""
            "field_second_foreign_language" => null
            "field_for_whom" => "Учебное пособие"
            "field_allowed" => null
            "field_reserve_field" => null
            "field_link_to_source" => null
            "field_tasks_count" => "587"
            "field_priority" => null
            "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
            "field_isbn" => "978-5-09-110334-2 (2024)"
            "field_cover" => array:2 [
              0 => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover1.webp?ts=1765217547"
              1 => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
            ]
            "field_cover_alts" => array:2 [
              0 => "часть 1"
              1 => "часть 2"
            ]
            "field_covers" => array:2 [
              0 => array:4 [
                "path" => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover1.webp?ts=1765217547"
                "alt" => "часть 1"
                "width" => "1200"
                "height" => "1576"
              ]
              1 => array:4 [
                "path" => "/media/algebra_08/prosveschenie-rab_tetr_baz/covers/cover2.webp?ts=1765217547"
                "alt" => "часть 2"
                "width" => "1200"
                "height" => "1576"
              ]
            ]
            "field_popular_book" => "0"
            "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1267}
            "field_new_book" => Illuminate\Database\Eloquent\Collection {#1268}
            "field_old_book" => Illuminate\Database\Eloquent\Collection {#1269}
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
            "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1270}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "breadcrumbs" => array:3 [
              "class" => 379
              "subject" => 542
              "class_subject" => 385
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "page" => Illuminate\Database\Eloquent\Collection {#1416
      #items: array:1 [
        0 => App\Models\BookPage {#333
          #connection: "mysql"
          #table: "book_pages"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:21 [
            "id" => 2126364
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/2-7"
            "field_display_title" => "7"
            "field_folder" => "2"
            "field_image_name" => "7"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1023
              #items: array:1 [
                0 => App\Models\Branch {#1026
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [
                    "id" => 2125508
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => null
                    "field_branch_order" => "2"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1272 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1275 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1309 …2}
                  ]
                  #original: array:24 [
                    "id" => 2125508
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_display_title" => null
                    "field_branch_order" => "2"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1272 …2}
                    "field_page_start" => "4"
                    "field_branch_display" => "0"
                    "field_branch_expanded" => "0"
                    "field_display_branch_in_title" => "1"
                    "field_display_task_interval" => "0"
                    "field_display_branch_page" => "1"
                    "field_branch_title_in_content" => "0"
                    "field_navigation_title" => null
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1275 …2}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1309 …2}
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1310
              #items: array:1 [
                0 => App\Models\Book {#1311
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1312 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1315 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1317 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1319 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1323 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1324 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1326 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1328 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1330 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1331 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1332 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1334 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1336 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1338 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "587"
                    "field_priority" => null
                    "field_default_folder" => "/algebra_08/prosveschenie-rab_tetr_baz/"
                    "field_isbn" => "978-5-09-110334-2 (2024)"
                    "field_cover" => array:2 [ …2]
                    "field_cover_alts" => array:2 [ …2]
                    "field_covers" => array:2 [ …2]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1339 …2}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1340 …2}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1341 …2}
                    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1342 …2}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [ …3]
                  ]
                  #original: array:50 [
                    "id" => 6975
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1312 …2}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1315 …2}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1317 …2}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1319 …2}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1323 …2}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1324 …2}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1326 …2}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1328 …2}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1330 …2}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1331 …2}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1332 …2}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1334 …2}
                    "field_publication_number" => "13"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1336 …2}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1338 …2}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => null
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                     …19
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1344
              #items: []
              #escapeWhenCastingToString: false
            }
            "content" => Illuminate\Database\Eloquent\Collection {#1345
              #items: []
              #escapeWhenCastingToString: false
            }
            "next" => array:2 [
              "refs" => "2126365"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "2126363"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1346
              #items: array:1 [
                0 => App\Models\Task {#1347
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:24 [ …24]
                  #original: array:24 [ …24]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [ …1]
                }
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:21 [
            "id" => 2126364
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_page_start" => "7"
            "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/2-7"
            "field_display_title" => "7"
            "field_folder" => "2"
            "field_image_name" => "7"
            "field_branch_parent" => Illuminate\Database\Eloquent\Collection {#1023}
            "field_weight" => "0"
            "field_book_parent" => Illuminate\Database\Eloquent\Collection {#1310}
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "edition_groups" => Illuminate\Database\Eloquent\Collection {#1344}
            "content" => Illuminate\Database\Eloquent\Collection {#1345}
            "next" => array:2 [
              "refs" => "2126365"
              "type" => "book_page"
            ]
            "previous" => array:2 [
              "refs" => "2126363"
              "type" => "book_page"
            ]
            "tasks" => Illuminate\Database\Eloquent\Collection {#1346}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
  ]
  #original: array:24 [
    "id" => 2125649
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "7"
    "field_page_end" => null
    "field_url" => "/8-klass/algebra/prosveschenie-rab-tetr_baz/01-12"
    "field_display_title" => "12"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1037}
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1035}
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1077}
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1238}
    "content" => Illuminate\Database\Eloquent\Collection {#1239}
    "next" => array:2 [
      "refs" => "2125650"
      "type" => "task"
    ]
    "previous" => array:2 [
      "refs" => "2125648"
      "type" => "task"
    ]
    "book" => Illuminate\Database\Eloquent\Collection {#1274}
    "page" => array:2 [
      "refs" => "2126364"
      "type" => "book_page"
    ]
  ]
  #changes: []
  #casts: []
  #classCastCache: []
  #attributeCastCache: []
  #dateFormat: null
  #appends: []
  #dispatchesEvents: []
  #observables: []
  #relations: []
  #touches: []
  +timestamps: true
  +usesUniqueIds: false
  #hidden: []
  #visible: []
  #fillable: []
  #guarded: array:1 [
    0 => "*"
  ]
}
№12 (с. 7)
Решение не найдено

Решение не найдено

К сожалению, к этому заданию ещё не сделаны ответы.
Если вдруг Вы нашли ответ, пожалуйста, напишите его в комментариях. Вы очень поможете остальным учащимся.

Помогло решение? Оставьте отзыв в комментариях ниже.

Присоединяйтесь к Телеграм-группе @top_gdz

Присоединиться

Мы подготовили для вас ответ c подробным объяснением домашего задания по алгебре за 8 класс, для упражнения номер 12 расположенного на странице 7 для 1-й части к рабочей тетради для учащихся школ и гимназий.

Теперь на нашем сайте ГДЗ.ТОП вы всегда легко и бесплатно найдёте условие с правильным ответом на вопрос «Как решить ДЗ» и «Как сделать» задание по алгебре к упражнению №12 (с. 7), авторов: Крайнева (Лариса Борисовна), Миндюк (Нора Григорьевна), Шлыкова (Инга Соломоновна), 1-й части ФГОС (новый, красный) базовый уровень обучения учебного пособия издательства Просвещение.