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 |
|:----------------|:----------------|:-----------------------------------------------|:-----------------------------------|----:|----:|----:|----:|----:|----:|
| 001i000000yoDkZ | Alpha-Eta       | The George Washington University               | Washington, DC/Northern Virginia   | 115 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjd | Alpha-Sigma     | The Ohio State University                      | Southern Ohio                      | 101 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgB | Beta            | University of Alabama                          | Alabama                            | 126 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkH | Beta-Epsilon    | University of Wisconsin-Madison                | Wisconsin                          | 157 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDia | Beta-Nu         | University of Kentucky                         | Kentucky                           | 128 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk3 | Alpha-Beta      | Mercer University                              | Southeast Georgia                  |  28 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgF | Delta-Chi       | Mississippi State University                   | Mississippi                        | 161 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgx | Alpha-Epsilon   | University of Pennsylvania                     | Philadelphia                       |  43 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiP | Alpha-Gamma     | University of Illinois at Urbana-Champaign     | Indiana/Illinois                   |  49 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiZ | Alpha-Iota      | University of Tennessee-Chattanooga            | Smoky Mountains                    |  45 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDg3 | Delta-Delta     | University of Florida                          | Northern Florida                   | 156 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjc | Alpha-Nu        | Wofford College                                | Upstate South Carolina             |  58 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjC | Alpha           | Emory University                               | North Georgia                      |  78 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiN | Alpha-Pi        | Wabash College                                 | Indiana/Illinois                   |  47 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkf | Delta-Xi        | University of Mississippi                      | Mississippi                        | 272 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfy | Alpha-Alpha     | University of Maryland - College Park          | Maryland/Delaware                  |  77 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkg | Alpha-Zeta      | University of Michigan                         | Michigan                           |  53 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjZ | Epsilon-Chi     | University of Louisiana-Lafayette              | Bayou                              |  96 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkd | Epsilon-Sigma   | Florida State University                       | Northern Florida                   |  94 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDh2 | Epsilon-Zeta    | University of Connecticut                      | Western New England                | 120 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgg | Alpha-Kappa     | Cornell University                             | Upper New York                     |  79 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgs | Alpha-Phi       | Bucknell University                            | Central Pennsylvania               |  67 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiB | Beta-Mu         | University of Minnesota-Twin Cities            | Minnesota/North Dakota             |  48 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkj | Beta-Eta        | Auburn University                              | Alabama                            |  22 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiG | Alpha-Psi       | University of Nebraska-Lincoln                 | Nebraska/Iowa                      |  87 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgI | Gamma           | Louisiana State University                     | Delta                              | 198 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDi8 | Beta-Gamma      | University of Missouri                         | Missouri                           |  77 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgp | Beta-Iota       | Lehigh University                              | Philadelphia                       |  81 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDi3 | Beta-Kappa      | University of New Hampshire                    | Eastern New England                |  65 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgt | Beta-Pi         | Dickinson College                              | Central Pennsylvania               |  40 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjQ | Alpha-Upsilon   | Millsaps College                               | Mississippi                        |  33 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjz | Beta-Omega      | Colorado College                               | Colorado                           |  38 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDj6 | Beta-Phi        | University of California-Davis                 | Northern California                |  30 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk6 | Beta-Lambda     | University of Georgia                          | North Georgia                      |  69 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjh | Beta-Tau        | Baker University                               | Kansas                             |  32 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiy | Epsilon-Epsilon | University of British Columbia                 | Western Canada                     |  60 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiH | Gamma-Kappa     | University of Oklahoma                         | Oklahoma                           |  91 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfw | Delta-Alpha     | Carnegie Mellon University                     | Western Pennsylvania/West Virginia |  33 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDdt | Beta-Rho        | University of Iowa                             | Nebraska/Iowa                      |  54 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDj0 | Gamma-Alpha     | University of Oregon                           | Oregon                             |  60 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjY | Gamma-Omega     | University of Pittsburgh                       | Western Pennsylvania/West Virginia | 113 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjv | Gamma-Psi       | Oklahoma State University                      | Oklahoma                           | 133 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjq | Delta-Zeta      | University of New Mexico                       | New Mexico/West Texas              |  22 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhn | Delta           | Davidson College                               | Western North Carolina             |  42 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiu | Gamma-Rho       | University of Arizona                          | Desert Southwest                   | 122 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgu | Delta-Rho       | Franklin & Marshall College                    | Central Pennsylvania               |  40 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk0 | Delta-Lambda    | Montana State University                       | Great Northwest                    |  38 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfZ | Delta-Sigma     | University of Utah                             | Rocky Mountain                     |  40 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiC | Delta-Mu        | University of North Dakota                     | Minnesota/North Dakota             |  36 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjo | Delta-Omicron   | University of Montana                          | Great Northwest                    |  34 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDka | Epsilon-Omega   | Georgia State University                       | North Georgia                      |  55 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkU | Delta-Pi        | Southern Methodist University                  | Northeast Texas                    |  35 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjM | Epsilon         | Centenary College of Louisiana                 | Delta                              |  29 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkQ | Kappa-Alpha     | University of Nevada-Las Vegas                 | Desert Southwest                   |  93 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfS | Epsilon-Alpha   | University of Alberta                          | Western Canada                     |  18 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiE | Gamma-Omicron   | University of Kansas                           | Kansas                             |  87 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkE | Gamma-Theta     | University of Idaho                            | Great Northwest                    |  64 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgq | Gamma-Upsilon   | Rutgers State University of New Jersey         | New Jersey                         |  68 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgG | Epsilon-Nu      | University of Southern Mississippi             | Mississippi                        |  38 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk4 | Kappa-Zeta      | Georgia Southern University                    | Southeast Georgia                  | 101 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiV | Kappa           | Vanderbilt University                          | Central Tennessee                  |  76 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiW | Kappa-Iota      | Middle Tennessee State University              | Central Tennessee                  |  36 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjg | Gamma-Sigma     | Oregon State University                        | Oregon                             |  13 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkG | Kappa-Delta     | University of South Florida                    | Northern Florida                   |  87 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfr | Gamma-Zeta      | New York University                            | New York City                      |  21 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiY | Lambda          | University of Tennessee-Knoxville              | Smoky Mountains                    | 146 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgP | Lambda-Tau      | Baylor University                              | Northeast Texas                    |  90 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhr | Kappa-Epsilon   | University of Texas-Pan American               | South Texas                        |  69 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgC | Kappa-Nu        | University of South Alabama                    | Alabama                            |  25 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDi5 | Epsilon-Tau     | California State University-Fresno             | Central California                 |  50 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhl | Kappa-Omega     | University of North Carolina at Charlotte      | Western North Carolina             |  76 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDg1 | Lambda-Xi       | Georgia College and State University           | Southeast Georgia                  |  60 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhj | Eta Prime       | Duke University                                | Eastern North Carolina             |  58 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDik | Gamma-Eta       | Harvard University                             | Eastern New England                |  46 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhh | Mu              | Washington and Lee University                  | Central Virginia                   |  60 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjl | Mu-Delta        | University of California-Irvine                | Southern California/Hawaii         |  80 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjW | Gamma-Lambda    | Iowa State University                          | Nebraska/Iowa                      |  48 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkp | Gamma-Pi        | Massachusetts Institute of Technology          | Eastern New England                |  58 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfQ | Iota            | Southwestern University                        | Southeast Texas                    |  24 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjn | Gamma-Xi        | Denison University                             | Southern Ohio                      |  51 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfx | Kappa-Theta     | Indiana University of Pennsylvania             | Western Pennsylvania/West Virginia |  43 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgS | Mu-Gamma        | Texas A&M University                           | Southeast Texas                    |  82 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkl | Lambda-Delta    | University of West Georgia                     | Southwest Georgia                  |  49 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkb | Kappa-Pi        | University of Central Oklahoma                 | Oklahoma                           |  34 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgA | Lambda-Iota     | Lyon College                                   | Arkansas                           |  28 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjj | Lambda-Gamma    | Jacksonville State University                  | Alabama                            |  40 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkL | Lambda-Lambda   | Elon University                                | Northern North Carolina            |  53 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfo | Lambda-Phi      | Sam Houston State University                   | Southeast Texas                    |  44 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkC | Mu-Zeta         | University of North Carolina-Wilmington        | Eastern North Carolina             |  59 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgJ | Mu-Omega        | Southeastern Louisiana University              | Bayou                              |  60 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDit | Nu-Epsilon      | New Mexico State University                    | New Mexico/West Texas              |  41 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjV | Lambda-Omicron  | University of North Alabama                    | Alabama                            |  29 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDha | Mu-Sigma        | Towson University                              | Maryland/Delaware                  |  70 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgm | Nu-Gamma        | Pratt Institute                                | New York City                      |  48 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjt | Nu-Phi          | Northeastern State University                  | Oklahoma                           |  44 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgH | Lambda-Pi       | Delta State University                         | Mississippi                        |  36 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkI | Lambda-Chi      | College of Idaho                               | Idaho/Utah                         |  21 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiF | Lambda-Upsilon  | Emporia State University                       | Kansas                             |  16 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDh0 | Mu-Psi          | Boston University                              | Eastern New England                |  95 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhc | Nu              | College of William and Mary                    | Southern Virginia                  |  67 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDi6 | Nu-Alpha        | California Polytechnic State-San Luis Obispo   | Central California                 |  73 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjS | Nu-Kappa        | University of Central Arkansas                 | Arkansas                           |  87 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgL | Mu-Omicron      | Louisiana State University-Shreveport          | Delta                              |  16 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfP | Lambda-Psi      | St. Mary's University                          | South Texas                        |  30 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkM | Nu-Theta        | Morehead State University                      | Kentucky                           |  51 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDj3 | Mu-Epsilon      | Linfield College                               | Oregon                             |  31 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDg0 | Nu-Upsilon      | Winthrop University                            | Upstate South Carolina             |  43 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhI | Omicron-Epsilon | Adelphi University                             | Long Island                        |  44 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhZ | Mu-Iota         | Gallaudet University                           | Washington, DC/Northern Virginia   |  35 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe8 | Omicron-Kappa   | Kennesaw State University                      | North Georgia                      |  59 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjx | Omicron-Gamma   | Arkansas Tech University                       | Arkansas                           |  25 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhC | Omicron-Chi     | Nicholls State University                      | Bayou                              |  74 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeD | Omicron-Sigma   | Slippery Rock University                       | Western Pennsylvania/West Virginia |  29 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkO | Omicron-Lambda  | Southern Polytechnic State University          | North Georgia                      |  40 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDez | Pi-Delta        | The University of Virginia's College at Wise   | Smoky Mountains                    |  26 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgV | Omicron-Mu      | California State University-Bakersfield        | Central California                 |  53 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDf1 | Pi-Eta          | Missouri Southern State University             | Missouri                           |  32 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkR | Mu-Rho          | Missouri State University                      | Missouri                           | 107 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkm | Nu-Tau          | Stephen F. Austin State University             | Northeast Texas                    |   9 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeH | Omicron-Upsilon | Temple University                              | Philadelphia                       |  98 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfF | Pi-Kappa        | Bentley University                             | Eastern New England                |  33 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeF | Omicron-Omega   | California State University-Stanislaus         | Northern California                |  68 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDf7 | Pi-Theta        | Coastal Carolina University                    | Coastal South Carolina             |  94 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDf8 | Pi-Nu           | Ramapo College                                 | New Jersey                         |  38 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhD | Omicron-Omicron | Kutztown University of Pennsylvania            | Philadelphia                       |  43 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDga | Omicron-Rho     | University of Michigan-Flint                   | Michigan                           |  44 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgX | Omicron-Xi      | University of Lethbridge                       | Western Canada                     |  71 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeA | Pi-Epsilon      | University of Houston                          | Southeast Texas                    |  59 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhW | Omicron-Theta   | Thompson Rivers University                     | Western Canada                     |  17 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjs | Pi-Mu           | Methodist University                           | Eastern North Carolina             |  46 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeO | Pi-Phi          | Brooklyn College                               | New York City                      |  28 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfC | Pi-Chi          | Lake Erie College                              | Northern Ohio                      |  11 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDf4 | Pi-Upsilon      | Academy of Art University                      | Bay Area/Pacific Coast             |  20 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeK | Pi-Rho          | University of Akron                            | Northern Ohio                      |  35 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkA | Phi             | Rhodes College                                 | Western Tennessee                  |  63 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfL | Pi-Psi          | University of California-San Diego             | Southern California/Hawaii         |  55 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDea | Rho-Mu          | Central Washington University                  | Great Northwest                    |  21 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfH | Pi-Sigma        | Salisbury University                           | Maryland/Delaware                  |  47 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjG | Rho-Beta        | St. Johns University                           | Long Island                        |  54 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDf6 | Pi-Tau          | New Mexico Institute of Mining and Technology  | New Mexico/West Texas              |  31 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeR | Rho-Phi         | Utah Valley University                         | Rocky Mountain                     |   7 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjp | Rho-Rho         | Abraham Baldwin Agricultural College           | Southwest Georgia                  |  21 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjO | Rho-Sigma       | St. Johns University-Staten Island             | Long Island                        |  22 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeX | Rho-Eta         | High Point University                          | Northern North Carolina            |  46 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfq | Rho-Tau         | Queens College                                 | Long Island                        |  14 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDje | Pi-Zeta         | Johnson & Wales University-Charlotte           | Western North Carolina             |  36 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeP | Pi-Omega        | Sacred Heart University                        | Western New England                |  77 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfB | Rho-Delta       | California State University-Northridge         | Southern California/Hawaii         |  66 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDf3 | Rho-Alpha       | University of Pittsburgh-Bradford              | Western Pennsylvania/West Virginia |  26 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDef | Rho-Upsilon     | University of the Incarnate Word               | South Texas                        |   5 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeS | Rho-Kappa       | California State University-Monterey Bay       | Central California                 |  31 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjr | Rho-Nu          | University of Texas At Tyler                   | Northeast Texas                    |  35 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfE | Rho-Iota        | State University of New York-Cortland          | Upper New York                     |  44 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe3 | Sigma-Beta      | Oglethorpe University                          | North Georgia                      |  13 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeq | Sigma-Gamma     | Henderson State University                     | Arkansas                           |  11 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeZ | Rho-Psi         | Texas A&M-Corpus Christi                       | South Texas                        |  27 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjL | Rho-Omega       | Stevens Institute of Technology                | New Jersey                         |  72 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDei | Sigma-Iota      | St. Norbert College                            | Wisconsin                          |  23 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeU | Rho-Omicron     | University of California-Merced                | Northern California                |  42 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk7 | Rho Prime       | University of North Georgia                    | North Georgia                      |  48 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDju | Rho-Xi          | Eastern Kentucky University                    | Kentucky                           |  33 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjJ | Sigma-Eta       | Central Michigan University                    | Michigan                           |  59 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeJ | Sigma-Nu        | Binghamton University - State University of NY | Upper New York                     |  49 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDdh | Sigma-Omega     | Santa Clara University                         | Bay Area/Pacific Coast             |  53 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe9 | Sigma-Phi       | Campbell University                            | Eastern North Carolina             |  43 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe0 | Sigma-Alpha     | Trinity College                                | Western New England                |  30 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDdz | Sigma-Delta     | Stony Brook University                         | Long Island                        |  33 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe7 | Sigma-Pi        | University at Albany                           | Upper New York                     |  53 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDdi | Sigma-Psi       | Catholic University of America                 | Washington, DC/Northern Virginia   |  44 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDek | Sigma-Epsilon   | Hunter College                                 | New York City                      |  31 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeM | Sigma-Omicron   | Furman University                              | Upstate South Carolina             |  38 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfJ | Pi-Xi           | Colorado State University                      | Rocky Mountain                     |  94 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfN | Rho-Zeta        | Florida Gulf Coast University                  | South Florida                      |  71 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDep | Sigma-Sigma     | Minnesota State University-Moorhead            | Minnesota/North Dakota             |  38 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe6 | Sigma-Tau       | Western Oregon University                      | Oregon                             |  31 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDds | Sigma-Rho       | Southern Illinois University-Edwardsville      | Missouri                           |  50 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDel | Sigma-Theta     | Old Dominion University                        | Southern Virginia                  |  44 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDko | Sigma           | Tulane University                              | Bayou                              |  83 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDen | Sigma-Zeta      | Northwood University                           | Michigan                           |  32 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe2 | Sigma-Mu        | Colorado Mesa University                       | Colorado                           |  24 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDdx | Sigma-Upsilon   | University of California-Riverside             | Southern California/Hawaii         |  58 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe1 | Sigma-Lambda    | Christopher Newport University                 | Southern Virginia                  |  68 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhN | Tau-Zeta        | Arkansas State University                      | Arkansas                           |  62 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgM | Theta           | Texas Christian University                     | Northwest Texas                    |  65 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeG | Tau-Epsilon     | Gonzaga University                             | Great Northwest                    |  55 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDeE | Tau-Eta         | University of Rhode Island                     | Eastern New England                |  49 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDe5 | Tau-Beta        | Humboldt State University                      | Bay Area/Pacific Coast             |  39 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDej | Tau-Kappa       | Indiana University Southeast                   | Kentucky                           |   0 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDdR | Tau-Delta       | Pace University                                | New York City                      |  37 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk5 | Theta-Beta      | California State University-Long Beach         | Southern California/Hawaii         |  82 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkr | Tau-Iota        | Farmingdale State College                      | Long Island                        |  34 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgN | Theta-Gamma     | Midwestern State University                    | Northwest Texas                    |  18 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDks | Tau-Theta       | West Chester University                        | Philadelphia                       |  52 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfO | Theta-Kappa     | Texas A&M University-Kingsville                | South Texas                        |  32 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDg7 | Theta-Nu        | Ashland University                             | Northern Ohio                      |  19 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDgK | Theta-Chi       | University of Louisiana-Monroe                 | Delta                              |  43 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDiI | Theta-Psi       | Oklahoma City University                       | Oklahoma                           |  56 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDja | Theta-Rho       | McNeese State University                       | Bayou                              |  43 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkP | Theta-Theta     | Western Kentucky University                    | Kentucky                           |  59 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk1 | Theta-Mu        | Northwestern State University of Louisiana     | Delta                              |  37 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkF | Theta-Lambda    | Texas State University-San Marcos              | Southeast Texas                    |  63 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfR | Tau             | University of Texas at Austin                  | Southeast Texas                    | 235 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDh1 | Xi-Beta         | Northeastern University                        | Eastern New England                | 108 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDkq | Theta Prime     | Cumberland University                          | Central Tennessee                  |  18 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDis | Theta-Zeta      | Eastern New Mexico University                  | New Mexico/West Texas              |  77 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDdl | Theta-Omicron   | Muskingum University                           | Southern Ohio                      |  34 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDg6 | Theta-Xi        | Trine University                               | Indiana/Illinois                   |  33 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjD | Xi-Epsilon      | Thiel College                                  | Western Pennsylvania/West Virginia |  30 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfs | Xi-Eta          | Christian Brothers University                  | Western Tennessee                  |  38 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDfp | Xi-Delta        | University of Texas-San Antonio                | South Texas                        |  66 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjU | Xi-Chi          | University of Northern Colorado                | Colorado                           |   6 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDjf | Xi-Psi          | University of North Florida                    | Northern Florida                   | 108 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk9 | Theta-Upsilon   | Miami University                               | Southern Ohio                      |  58 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDh4 | Xi-Theta        | Valdosta State University                      | Southwest Georgia                  |  33 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhB | Xi-Upsilon      | Texas A&M University-Commerce                  | Northeast Texas                    |  26 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDk8 | Xi-Lambda       | University of Delaware                         | Maryland/Delaware                  |  76 |   0 |   0 |   0 |   0 |   0 |
| 001i000000yoDhg | Zeta            | University of Virginia                         | Central Virginia                   |  54 |   0 |   0 |   0 |   0 |   0 |



labeled_formulas: H=E*F
H=E*G
I=E*G
I=E*H
H=F*G
I=F*G
J=F+G
H=F*I
J=F+H
J=F+I
I=G*H
H=G*J
I=G*J
I=H*J
H=(E*F)*G
I=(E*F)*G
J=(E*G)+F
H=(E*F)*I
J=(E*H)+F
J=(E*I)+F
I=(E*G)*H
H=(E*G)*J
I=(E*G)*J
I=(E*H)*J
H=(F*G)*I
H=(F*G)*J
H=(F*I)*J
I=(G*H)*J
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_464090___xlsx_8aad2ec9427cb68026a94fcc9c19bee198b01a88.xlsx___line_329