Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
| A                                                                 | B                                                                                         |   C |   D |   E |   F |   G | H    | I    | J    | K    |
|:------------------------------------------------------------------|:------------------------------------------------------------------------------------------|----:|----:|----:|----:|----:|:-----|:-----|:-----|:-----|
| Board of Agriculture                                              | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Alamance Community College Trustees                               | Alamance-Burlington School System Board of Edcuation                                      |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Alamance Community College Trustees                               | Alamance County Board of Commissioners                                                    |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Alamance Community College Trustees                               | Alamance Community College Student Government Association President (elected by students) |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Alcoholic Beverage Control Commission                             | Alcoholic Beverage Control Commission                                                     |   3 |   1 |   0 |   1 |   1 | 33%  | 100% | 0%   | 100% |
| Appalachian State University Trustees                             | Student Government Association                                                            |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Appalachian State University Trustees                             | UNC Board of Governors                                                                    |   8 |   8 |   6 |   2 |   8 | 100% | 100% | 75%  | 25%  |
| Appraisal Board                                                   | NO APPPOINTMENTS                                                                          |   3 |   3 |   1 |   2 |   3 | 100% | 100% | 33%  | 67%  |
| Arboretum Board of Directors                                      | NO APPPOINTMENTS                                                                          |   2 |   2 |   1 |   1 |   2 | 100% | 100% | 50%  | 50%  |
| Board of Architecture                                             | NO APPPOINTMENTS                                                                          |   7 |   7 |   3 |   4 |   7 | 100% | 100% | 43%  | 57%  |
| Asheville Buncombe Tech Community College Trustees                | Buncombe County Board of Commissioners                                                    |   3 |   3 |   3 |   0 |   3 | 100% | 100% | 100% | 0%   |
| Asheville Buncombe Tech Community College Trustees                | Buncombe County Board of Education                                                        |   2 |   1 |   0 |   1 |   1 | 50%  | 100% | 0%   | 100% |
| Athletic Trainer Examiners                                        | NO APPPOINTMENTS                                                                          |   7 |   3 |   2 |   1 |   3 | 43%  | 100% | 67%  | 33%  |
| Auctioneers Commission                                            | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Banking Commission                                                | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Board of Barber Examiners                                         | NO APPPOINTMENTS                                                                          |   5 |   1 |   1 |   0 |   1 | 20%  | 100% | 100% | 0%   |
| Battleship Commission, USS NC                                     | NO APPPOINTMENTS                                                                          |  18 |  16 |   9 |   7 |  16 | 89%  | 100% | 56%  | 44%  |
| Beaufort County Community College Trustees                        | Beaufort County Board of Commissioners                                                    |  14 |   1 |   1 |   0 |   1 | 7%   | 100% | 100% | 0%   |
| Beaufort County Community College Trustees                        | Beaufort County Board of Education                                                        |  14 |   1 |   1 |   0 |   1 | 7%   | 100% | 100% | 0%   |
| Beaufort County Community College Trustees                        | Washington County Board of Commissioners                                                  |  14 |   1 |   1 |   0 |   1 | 7%   | 100% | 100% | 0%   |
| Commission for the Blind                                          | NO APPPOINTMENTS                                                                          |  19 |   4 |   4 |   0 |   4 | 21%  | 100% | 100% | 0%   |
| Blue Ridge Community College Trustees                             | Henderson County Board of Public Education                                                |   4 |   2 |   2 |   0 |   2 | 50%  | 100% | 100% | 0%   |
| Blue Ridge Community College Trustees                             | Henderson County Board of Commissioners                                                   |   4 |   2 |   2 |   0 |   2 | 50%  | 100% | 100% | 0%   |
| Blue Ridge Community College Trustees                             | Transylvania County Commissioners                                                         |   2 |   1 |   1 |   0 |   1 | 50%  | 100% | 100% | 0%   |
| Brunswick Community College Trustees                              | NO APPPOINTMENTS                                                                          |  12 |   3 |   3 |   0 |   3 | 25%  | 100% | 100% | 0%   |
| Caldwell Community College Trustees                               | Caldwell County Commissioners                                                             |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Caldwell Community College Trustees                               | Caldwell County Board of Education                                                        |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Caldwell Community College Trustees                               | Watauga County Commissioners                                                              |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Cape Fear Community College Trustees                              | New Hanover County Commissioners                                                          |  13 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Cape Fear Community College Trustees                              | New Hanover County Board of Education                                                     |  13 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Carteret Community College Trustees                               | Carteret County Board of Education                                                        |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Carteret Community College Trustees                               | Carteret County Board of Commissioners                                                    |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Centennial Authority                                              | NO APPPOINTMENTS                                                                          |  21 |   1 |   1 |   0 |   1 | 5%   | 100% | 100% | 0%   |
| Center for the Advancement of Teaching                            | NO APPPOINTMENTS                                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Central Piedmont Community College Trustees                       | Charlotte-Mecklenburg Schools Board of Education                                          |  12 |   4 |   1 |   3 |   4 | 33%  | 100% | 25%  | 75%  |
| Certified Public Accountant Examiners                             | NO APPPOINTMENTS                                                                          |   7 |   3 |   1 |   2 |   3 | 43%  | 100% | 33%  | 67%  |
| Charter Schools Advisory Board                                    | State Board of Education                                                                  |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Child Care Commission                                             | NO APPPOINTMENTS                                                                          |  17 |   2 |   1 |   1 |   2 | 12%  | 100% | 50%  | 50%  |
| Children with Special Health Care Needs                           | NO APPPOINTMENTS                                                                          |   9 |   9 |   3 |   6 |   9 | 100% | 100% | 33%  | 67%  |
| Chiropractic Examiners                                            | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Clean Water Management Trust Fund Board                           | NO APPPOINTMENTS                                                                          |   9 |   2 |   2 |   0 |   2 | 22%  | 100% | 100% | 0%   |
| Cleveland Community College Trustees                              | Cleveland County Board of Trustees                                                        |  12 |   2 |   2 |   0 |   2 | 17%  | 100% | 100% | 0%   |
| Cleveland Community College Trustees                              | Cleveland County Board of Commissioners                                                   |  12 |   2 |   2 |   0 |   2 | 17%  | 100% | 100% | 0%   |
| Coastal Carolina Community College Trustees                       | Board of Education                                                                        |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Coastal Resources Commission                                      | NO APPPOINTMENTS                                                                          |   3 |   3 |   2 |   1 |   3 | 100% | 100% | 67%  | 33%  |
| College of the Albemarle Trustees                                 | Currituck Board of Commissioners                                                          |  19 |   1 |   0 |   1 |   1 | 5%   | 100% | 0%   | 100% |
| College of the Albemarle Trustees                                 | Gates County Board of Commissioners                                                       |  19 |   1 |   1 |   0 |   1 | 5%   | 100% | 100% | 0%   |
| State Board of Community Colleges                                 | NO APPPOINTMENTS                                                                          |   3 |   3 |   0 |   3 |   3 | 100% | 100% | 0%   | 100% |
| Cosmetic Art Examiners, Board of                                  | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Craven Community College Trustees                                 | Craven County Board of Commissioners                                                      |   4 |   2 |   2 |   0 |   2 | 50%  | 100% | 100% | 0%   |
| Craven Community College Trustees                                 | Craven County Board of Education                                                          |   4 |   1 |   1 |   0 |   1 | 25%  | 100% | 100% | 0%   |
| Credit Union Commission                                           | NO APPPOINTMENTS                                                                          |   7 |   4 |   3 |   1 |   4 | 57%  | 100% | 75%  | 25%  |
| Criminal Justice Education & Training Standards Commission        | NC Association of Chiefs of Police                                                        |   3 |   1 |   1 |   0 |   1 | 33%  | 100% | 100% | 0%   |
| Criminal Justice Education & Training Standards Commission        | NC Police Executives Association                                                          |   3 |   1 |   0 |   1 |   1 | 33%  | 100% | 0%   | 100% |
| Criminal Justice Information Network Governing Board              | Attorney General                                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Davidson County Community College Trustees                        | Thomasville Board of Education                                                            |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Davidson County Community College Trustees                        | Davidson County Commissioners                                                             |  15 |   1 |   1 |   0 |   1 | 7%   | 100% | 100% | 0%   |
| Board of Dental Examiners                                         | Board members are elected by licensees                                                    |   8 |   8 |   6 |   2 |   8 | 100% | 100% | 75%  | 25%  |
| Council on Developmental Disabilities                             | NO APPPOINTMENTS                                                                          |  40 |  11 |   1 |  10 |  11 | 28%  | 100% | 9%   | 91%  |
| Dietetics and Nutrition, Board of                                 | NO APPPOINTMENTS                                                                          |   3 |   1 |   0 |   1 |   1 | 33%  | 100% | 0%   | 100% |
| Disciplinary Hearing Commission                                   | NO APPPOINTMENTS                                                                          |  19 |   4 |   3 |   1 |   4 | 21%  | 100% | 75%  | 25%  |
| Durham Tech Community College Trustees                            | Durham Public Schools Board of Education                                                  |   4 |   4 |   3 |   1 |   4 | 100% | 100% | 75%  | 25%  |
| Durham Tech Community College Trustees                            | Orange County Commissioners                                                               |   2 |   2 |   2 |   0 |   2 | 100% | 100% | 100% | 0%   |
| Durham Tech Community College Trustees                            | Durham County Board of Commissioners                                                      |   4 |   4 |   1 |   3 |   4 | 100% | 100% | 25%  | 75%  |
| Durham Tech Community College Trustees                            | Durham Technical Community College                                                        |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Early Childhood Advisory Council                                  | NO APPPOINTMENTS                                                                          |  23 |  23 |   4 |  19 |  23 | 100% | 100% | 17%  | 83%  |
| East Carolina University Trustees                                 | UNC Board of Governors                                                                    |  13 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Economic Development Partnership of NC                            | Ex Officio                                                                                |  18 |   1 |   1 |   0 |   1 | 6%   | 100% | 100% | 0%   |
| Edgecombe Community College Trustees                              | Edgecombe County Board of Commissioners                                                   |   4 |   1 |   1 |   0 |   1 | 25%  | 100% | 100% | 0%   |
| Edgecombe Community College Trustees                              | Edgecombe County Board of Education                                                       |   4 |   1 |   1 |   0 |   1 | 25%  | 100% | 100% | 0%   |
| State Board of Elections                                          | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Electrical Contractors Examiners Board                            | NC Association of Electrical Contractors                                                  |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Electrical Contractors Examiners Board                            | NC Department of Insurance                                                                |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Electrolysis Examiners Board                                      | NO APPPOINTMENTS                                                                          |   5 |   1 |   0 |   1 |   1 | 20%  | 100% | 0%   | 100% |
| Elizabeth City State University Trustees                          | Board of Governors                                                                        |  12 |   1 |   0 |   1 |   1 | 8%   | 100% | 0%   | 100% |
| Examiners for Engineers & Surveyors                               | NO APPPOINTMENTS                                                                          |   9 |   2 |   1 |   1 |   2 | 22%  | 100% | 50%  | 50%  |
| Board of Environmental Health Specialist Examiners                | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Environmental Management Commission                               | NO APPPOINTMENTS                                                                          |  15 |   6 |   1 |   5 |   6 | 40%  | 100% | 17%  | 83%  |
| State Ethics Commission                                           | NO APPPOINTMENTS                                                                          |   2 |   2 |   1 |   1 |   2 | 100% | 100% | 50%  | 50%  |
| Fayetteville State University Trustees                            | UNC Board of Governors                                                                    |  13 |   3 |   2 |   1 |   3 | 23%  | 100% | 67%  | 33%  |
| Fayetteville Tech Community College Trustees                      | NO APPPOINTMENTS                                                                          |   3 |   3 |   3 |   0 |   3 | 100% | 100% | 100% | 0%   |
| Food Processing Innovation Center Committee                       | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Board of Registration for Foresters                               | NO APPPOINTMENTS                                                                          |   5 |   3 |   2 |   1 |   3 | 60%  | 100% | 67%  | 33%  |
| Forsyth Tech Community College Trustees                           | Winston Salem/Forsyth County Board of Education                                           |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Forsyth Tech Community College Trustees                           | Forsyth County Commissioners                                                              |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Funding Committee for the NC Commercial Fishing Resource Fund     | Funding Committee                                                                         |   6 |   3 |   3 |   0 |   3 | 50%  | 100% | 100% | 0%   |
| Board of Funeral Service                                          | NC Funeral Directors Association                                                          |   9 |   3 |   3 |   0 |   3 | 33%  | 100% | 100% | 0%   |
| Gasoline and Oil Inspection Board                                 | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Gaston College Trustees                                           | Gaston County Board of Commissioners                                                      |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Gaston College Trustees                                           | Lincoln County Board of Commissioners                                                     |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Gaston College Trustees                                           | Gaston County Board of Education                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Gaston College Trustees                                           | Gaston College Student Government Association                                             |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| General Contractors Licensing Board                               | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Board for Licensing of Geologists                                 | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Global Transpark Authority                                        | NO APPPOINTMENTS                                                                          |   6 |   6 |   4 |   2 |   6 | 100% | 100% | 67%  | 33%  |
| Governor's Crime Commission                                       | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Guilford Tech Community College Trustees                          | Guilford County Board of Education                                                        |  12 |   1 |   0 |   1 |   1 | 8%   | 100% | 0%   | 100% |
| Guilford Tech Community College Trustees                          | Guilford County Board of Commissioners                                                    |  12 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Halifax Community College Trustees                                | Halifax County Board of Commissioners                                                     |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Halifax Community College Trustees                                | Roanoke Rapids Graded Schools District                                                    |  12 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Haywood Community College Trustees                                | Haywood County Board of Education                                                         |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Haywood Community College Trustees                                | Haywood County Board of Commissioners                                                     |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| State Health Plan Board                                           | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Hearing Aid Dealers and Fitters Board                             | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Historical Commission                                             | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Housing Finance Agency                                            | NO APPPOINTMENTS                                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Human Resources Commission, NC                                    | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Human Trafficking Commission                                      | NO APPPOINTMENTS                                                                          |   4 |   4 |   1 |   3 |   4 | 100% | 100% | 25%  | 75%  |
| Industrial Hemp Commission                                        | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Interpreter & Transliterator Licensing Board                      | NO APPPOINTMENTS                                                                          |   3 |   3 |   3 |   0 |   3 | 100% | 100% | 100% | 0%   |
| Irrigation Contractors' Licensing Board                           | NC Chapter of the American Society of Landscape Architects                                |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Isothermal Community College Trustees                             | Rutherford County Commissioners                                                           |   2 |   2 |   2 |   0 |   2 | 100% | 100% | 100% | 0%   |
| James Sprunt Community College Trustees                           | James Sprunt Community College                                                            |  11 |   3 |   1 |   2 |   3 | 27%  | 100% | 33%  | 67%  |
| Judicial Standards Commission                                     | Chief Justice                                                                             |  13 |   1 |   0 |   1 |   1 | 8%   | 100% | 0%   | 100% |
| Board of Landscape Architects                                     | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Landscape Contractors' Licensing Board                            | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Lenoir Community College Trustees                                 | Lenoir County Board of Commissioners                                                      |   4 |   1 |   1 |   0 |   1 | 25%  | 100% | 100% | 0%   |
| Lenoir Community College Trustees                                 | Jones County Board of Commissioners                                                       |   2 |   1 |   1 |   0 |   1 | 50%  | 100% | 100% | 0%   |
| License To Give Trust Fund Commission                             | NO APPPOINTMENTS                                                                          |   4 |   4 |   2 |   2 |   4 | 100% | 100% | 50%  | 50%  |
| Licensed Professional Counselors                                  | NO APPPOINTMENTS                                                                          |   7 |   1 |   1 |   0 |   1 | 14%  | 100% | 100% | 0%   |
| Local Health Department Accreditation Board                       | Secretary of the North Carolina Department of Health and Human Services                   |  17 |   4 |   2 |   2 |   4 | 24%  | 100% | 50%  | 50%  |
| Marine Industrial Park Authority                                  | NO APPPOINTMENTS                                                                          |  11 |   5 |   5 |   0 |   5 | 45%  | 100% | 100% | 0%   |
| Martin Community College Trustees                                 | Martin County Schools Board of Education                                                  |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Martin Community College Trustees                                 | Martin County Commissioners                                                               |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Massage & Bodywork Therapy Board                                  | NO APPPOINTMENTS                                                                          |   2 |   2 |   1 |   1 |   2 | 100% | 100% | 50%  | 50%  |
| Mayland Community College Trustees                                | County Commissioners                                                                      |  12 |   4 |   2 |   2 |   4 | 33%  | 100% | 50%  | 50%  |
| NC Medical Board                                                  | NO APPPOINTMENTS                                                                          |  13 |   4 |   4 |   0 |   4 | 31%  | 100% | 100% | 0%   |
| Medical Care Commission                                           | NO APPPOINTMENTS                                                                          |  17 |   3 |   1 |   2 |   3 | 18%  | 100% | 33%  | 67%  |
| Midwifery Joint Committee                                         | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Mitchell Community College Trustees                               | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Museum of Art Board                                               | NCMA Foundation Board of Directors                                                        |  25 |   2 |   1 |   1 |   2 | 8%   | 100% | 50%  | 50%  |
| Museum of Art Board                                               | NCMA Board of Trustees                                                                    |  25 |   2 |   0 |   2 |   2 | 8%   | 100% | 0%   | 100% |
| Nash Community College Trustees                                   | Nash County Public Schools                                                                |  12 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Nash Community College Trustees                                   | Nash County Board of Commissioners                                                        |  13 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Nash Community College Trustees                                   | Nash Community College Student Government Association                                     |  13 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| NC Education Lottery Commission                                   | NO APPPOINTMENTS                                                                          |   9 |   2 |   1 |   1 |   2 | 22%  | 100% | 50%  | 50%  |
| NC Central University Trustees                                    | NC Central University Board of Trustees                                                   |  13 |   5 |   4 |   1 |   5 | 38%  | 100% | 80%  | 20%  |
| NC State University Trustees                                      | NO APPPOINTMENTS                                                                          |  13 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| NC Wine and Grape Growers Council                                 | NCDA Commissioner Troxler                                                                 |  10 |  10 |   8 |   2 |  10 | 100% | 100% | 80%  | 20%  |
| Nursing Home Administrator Examiners                              | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Board of Nursing                                                  | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Board of Occupational Therapy                                     | NO APPPOINTMENTS                                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| On-site Wastewater Contractors and Inspectors Certification Board | NO APPPOINTMENTS                                                                          |   9 |   1 |   1 |   0 |   1 | 11%  | 100% | 100% | 0%   |
| Board of Examiners in Optometry                                   | NO APPPOINTMENTS                                                                          |   7 |   7 |   6 |   1 |   7 | 100% | 100% | 86%  | 14%  |
| Pamlico Community College Trustees                                | NO APPPOINTMENTS                                                                          |   4 |   1 |   0 |   1 |   1 | 25%  | 100% | 0%   | 100% |
| Parks and Recreation Authority                                    | NO APPPOINTMENTS                                                                          |   9 |   5 |   3 |   2 |   5 | 56%  | 100% | 60%  | 40%  |
| Partnership for Children, Inc Board of Directors                  | NO APPPOINTMENTS                                                                          |   8 |   8 |   4 |   4 |   8 | 100% | 100% | 50%  | 50%  |
| Pesticide Board                                                   | NO APPPOINTMENTS                                                                          |   7 |   6 |   2 |   4 |   6 | 86%  | 100% | 33%  | 67%  |
| Board of Pharmacy                                                 | NO APPPOINTMENTS                                                                          |   6 |   1 |   0 |   1 |   1 | 17%  | 100% | 0%   | 100% |
| Board of Physical Therapy Examiners                               | NO APPPOINTMENTS                                                                          |   8 |   3 |   1 |   2 |   3 | 38%  | 100% | 33%  | 67%  |
| Pitt Community College Trustees                                   | Pitt County - County Commissioners                                                        |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Pitt Community College Trustees                                   | Pitt County - Board of Education                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Plumbing, Heating, & Fire Sprinkler Contractors                   | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Podiatry Examiners, Board of                                      | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Ports Authority, State                                            | NO APPPOINTMENTS                                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Post-Release Supervision and Parole Commission                    | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Property Tax Commission, State                                    | NO APPPOINTMENTS                                                                          |   5 |   2 |   1 |   1 |   2 | 40%  | 100% | 50%  | 50%  |
| Psychology Board                                                  | NO APPPOINTMENTS                                                                          |   7 |   3 |   0 |   3 |   3 | 43%  | 100% | 0%   | 100% |
| Commission for Public Health                                      | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Public Librarian Certification Commission                         | NC Library Association                                                                    |   5 |   1 |   0 |   1 |   1 | 20%  | 100% | 0%   | 100% |
| Public Officers and Employees Liability Insurance Commission      | NO APPPOINTMENTS                                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Randolph Community College Trustees                               | Asheboro City Schools                                                                     |   2 |   1 |   1 |   0 |   1 | 50%  | 100% | 100% | 0%   |
| Randolph Community College Trustees                               | Randolph County Board of Commissioners                                                    |   4 |   1 |   1 |   0 |   1 | 25%  | 100% | 100% | 0%   |
| Real Estate Commission                                            | NO APPPOINTMENTS                                                                          |   7 |   3 |   2 |   1 |   3 | 43%  | 100% | 67%  | 33%  |
| Recreational Therapy Licensure Board                              | NO APPPOINTMENTS                                                                          |   8 |   1 |   0 |   1 |   1 | 13%  | 100% | 0%   | 100% |
| Board of Refrigeration Examiners                                  | NO APPPOINTMENTS                                                                          |   7 |   1 |   1 |   0 |   1 | 14%  | 100% | 100% | 0%   |
| Respiratory Care Board                                            | NC Medical Society                                                                        |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Rowan Cabarrus Community College Trustees                         | Rowan-Salisbury School System Board of Education                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Rowan Cabarrus Community College Trustees                         | Rowan County Board of Commissioners                                                       |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Sampson Community College Trustees                                | Sampson Community College/SGA Appointments                                                |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Sandhills Community College Trustees                              | NO APPPOINTMENTS                                                                          |  13 |   1 |   0 |   1 |   1 | 8%   | 100% | 0%   | 100% |
| NC School of Science and Mathematics Trustees                     | UNC Board of Governors                                                                    |   8 |   8 |   6 |   2 |   8 | 100% | 100% | 75%  | 25%  |
| Board of Science, Technology and Innovation                       | NO APPPOINTMENTS                                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Social Services Commission                                        | Social Services Board                                                                     |   3 |   3 |   0 |   3 |   3 | 100% | 100% | 0%   | 100% |
| Social Work Certification and Licensure Board                     | NO APPPOINTMENTS                                                                          |   7 |   2 |   1 |   1 |   2 | 29%  | 100% | 50%  | 50%  |
| Soil and Water Conservation Commission                            | NO APPPOINTMENTS                                                                          |   7 |   4 |   4 |   0 |   4 | 57%  | 100% | 100% | 0%   |
| Board of Licensing for Soil Scientists                            | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| South Piedmont Community College Trustees                         | Anson County Board of Education                                                           |  13 |   2 |   1 |   1 |   2 | 15%  | 100% | 50%  | 50%  |
| South Piedmont Community College Trustees                         | Union County Board of Education                                                           |  13 |   2 |   1 |   1 |   2 | 15%  | 100% | 50%  | 50%  |
| South Piedmont Community College Trustees                         | Anson County Board of Commissioners                                                       |  13 |   2 |   2 |   0 |   2 | 15%  | 100% | 100% | 0%   |
| Southwestern Community College Trustees                           | Macon County Commissioners                                                                |  13 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Speech and Language Pathologists and Audiologist, Board of Examin | NO APPPOINTMENTS                                                                          |   7 |   3 |   0 |   3 |   3 | 43%  | 100% | 0%   | 100% |
| Stanly Community College Trustees                                 | Stanly County Board of Commissioners                                                      |   2 |   2 |   2 |   0 |   2 | 100% | 100% | 100% | 0%   |
| State Education Assistance Authority                              | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| State Water Infrastructure Authority                              | NO APPPOINTMENTS                                                                          |   9 |   2 |   1 |   1 |   2 | 22%  | 100% | 50%  | 50%  |
| Structural Pest Control Committee                                 | NCSU Dean, College of Agriculture and Life Sciences                                       |   9 |   1 |   0 |   1 |   1 | 11%  | 100% | 0%   | 100% |
| Structural Pest Control Committee                                 | Commissioner of Agriculture                                                               |   9 |   1 |   1 |   0 |   1 | 11%  | 100% | 100% | 0%   |
| Substance Abuse Professional Practice Board                       | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Supplemental Retirement Board                                     | NO APPPOINTMENTS                                                                          |   9 |   1 |   1 |   0 |   1 | 11%  | 100% | 100% | 0%   |
| Surry Community College Trustees                                  | Surry County Commissioners                                                                |  14 |   4 |   3 |   1 |   4 | 29%  | 100% | 75%  | 25%  |
| Surry Community College Trustees                                  | Yadkin County Commissioners                                                               |  14 |   2 |   2 |   0 |   2 | 14%  | 100% | 100% | 0%   |
| Surry Community College Trustees                                  | Surry County Schools Board of Education                                                   |  14 |   2 |   1 |   1 |   2 | 14%  | 100% | 50%  | 50%  |
| Surry Community College Trustees                                  | Mount Airy Board of Education                                                             |  14 |   1 |   0 |   1 |   1 | 7%   | 100% | 0%   | 100% |
| Surry Community College Trustees                                  | Elkin Board of Education                                                                  |  14 |   1 |   0 |   1 |   1 | 7%   | 100% | 0%   | 100% |
| Tobacco Trust Fund Commission                                     | NO APPPOINTMENTS                                                                          |   3 |   3 |   2 |   1 |   3 | 100% | 100% | 67%  | 33%  |
| Board of Transportation                                           | NO APPPOINTMENTS                                                                          |   2 |   2 |   1 |   1 |   2 | 100% | 100% | 50%  | 50%  |
| Tri-County Community College Trustees                             | Cherokee County Board of Commissioners                                                    |   8 |   2 |   2 |   0 |   2 | 25%  | 100% | 100% | 0%   |
| Tryon Palace Commission                                           | NO APPPOINTMENTS                                                                          |   4 |   4 |   3 |   1 |   4 | 100% | 100% | 75%  | 25%  |
| Turnpike Authority                                                | NO APPPOINTMENTS                                                                          |   4 |   4 |   3 |   1 |   4 | 100% | 100% | 75%  | 25%  |
| UNCWilmington Trustees                                            | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Underground Damage Prevention Review Board                        | NO APPPOINTMENTS                                                                          |  15 |   3 |   3 |   0 |   3 | 20%  | 100% | 100% | 0%   |
| Vance Granville Community College Trustees                        | Granville County Board of Commissioners                                                   |  12 |   1 |   0 |   1 |   1 | 8%   | 100% | 0%   | 100% |
| Vance Granville Community College Trustees                        | Vance County Board of Education                                                           |  12 |   3 |   2 |   1 |   3 | 25%  | 100% | 67%  | 33%  |
| Veterans' Affairs Commission                                      | NO APPPOINTMENTS                                                                          |  13 |   5 |   4 |   1 |   5 | 38%  | 100% | 80%  | 20%  |
| Veterinary Medical Board                                          | NO APPPOINTMENTS                                                                          |   0 |   0 |   0 |   0 |   0 | 0%   | 0%   | 0%   | 0%   |
| Water Pollution Control System Operators Certification Commission | Secretary of DEQ                                                                          |  11 |   5 |   3 |   2 |   5 | 45%  | 100% | 60%  | 40%  |
| Water Pollution Control System Operators Certification Commission | Commissioner of NC Department of Agriculture and Consumer Services                        |  11 |   1 |   1 |   0 |   1 | 9%   | 100% | 100% | 0%   |
| Water Treatment Facility Operators                                | NO APPPOINTMENTS                                                                          |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Western Piedmont Community College Trustees                       | NO APPPOINTMENTS                                                                          |  12 |   1 |   1 |   0 |   1 | 8%   | 100% | 100% | 0%   |
| Wildlife Resources Commission                                     | NO APPPOINTMENTS                                                                          |   2 |   2 |   1 |   1 |   2 | 100% | 100% | 50%  | 50%  |
| Wilkes Community College Trustees                                 | Wilkes County Commissioners                                                               |   1 |   1 |   1 |   0 |   1 | 100% | 100% | 100% | 0%   |
| Wilkes Community College Trustees                                 | Ashe County Commissioners                                                                 |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |
| Wilkes Community College Trustees                                 | Wilkes County Board of Education                                                          |   1 |   1 |   0 |   1 |   1 | 100% | 100% | 0%   | 100% |



labeled_formulas: F=D-E
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_46693___xlsx_71087c9743d738b65d12f37e5eead8ece317dda8.xlsx___line_383