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 |           L |                M |                N |                O |
|----:|:--------------------------------|:---------|------------:|-----------------:|-----------------:|-----------------:|-----------------:|-----------------:|-----------------:|----:|------------:|-----------------:|-----------------:|-----------------:|
|   1 | Accomack                        | Eastern  | 5.16921e+07 |      2.64289e+07 |      2.51902e+07 |  72969           |      1.80728e+06 |      1.48649e+06 | 320793           |   0 | 4.98848e+07 |      2.49424e+07 |      2.48694e+07 |  72969           |
|   5 | Alleghany/Covington             | Piedmont | 3.42421e+07 |      1.74131e+07 |      1.67669e+07 |  62076.4         | 905519           | 744790           | 160730           |   0 | 3.33366e+07 |      1.66683e+07 |      1.66062e+07 |  62076.4         |
|   7 | Amelia                          | Central  | 1.71037e+07 |      8.73338e+06 |      8.33483e+06 |  35433.6         | 562970           | 463043           |  99927.2         |   0 | 1.65407e+07 |      8.27034e+06 |      8.23491e+06 |  35433.6         |
|   9 | Amherst                         | Piedmont | 4.53221e+07 |      2.31088e+07 |      2.20955e+07 | 117880           |      1.38817e+06 |      1.14177e+06 | 246399           |   0 | 4.3934e+07  |      2.1967e+07  |      2.18491e+07 | 117880           |
|  11 | Appomattox                      | Piedmont | 2.44919e+07 |      1.243e+07   |      1.19525e+07 | 109448           | 570521           | 469253           | 101267           |   0 | 2.39214e+07 |      1.19607e+07 |      1.18512e+07 | 109448           |
|  13 | Arlington                       | Northern | 1.07842e+08 |      5.55672e+07 |      5.19161e+07 | 358195           |      5.10528e+06 |      4.19909e+06 | 906187           |   0 | 1.02736e+08 |      5.13681e+07 |      5.10099e+07 | 358195           |
|  17 | Bath                            | Piedmont | 4.94471e+06 |      2.52594e+06 |      2.41209e+06 |   6678.18        | 166154           | 136661           |  29492.3         |   0 | 4.77856e+06 |      2.38928e+06 |      2.3826e+06  |   6678.18        |
|  21 | Bland                           | Western  | 7.44914e+06 |      3.7718e+06  |      3.64329e+06 |  34046.7         | 146448           | 120454           |  25994.5         |   0 | 7.30269e+06 |      3.65135e+06 |      3.6173e+06  |  34046.7         |
|  23 | Botetourt                       | Piedmont | 2.76238e+07 |      1.40124e+07 |      1.35484e+07 |  63078.8         | 621637           | 511296           | 110341           |   0 | 2.70022e+07 |      1.35011e+07 |      1.3438e+07  |  63078.8         |
|  25 | Brunswick                       | Eastern  | 3.46752e+07 |      1.75661e+07 |      1.70353e+07 |  73781.8         | 708426           | 582680           | 125746           |   0 | 3.39668e+07 |      1.69834e+07 |      1.69096e+07 |  73781.8         |
|  29 | Buckingham                      | Central  | 2.44062e+07 |      1.24049e+07 |      1.19368e+07 |  64499           | 625664           | 514608           | 111055           |   0 | 2.37805e+07 |      1.18902e+07 |      1.18257e+07 |  64499           |
|  33 | Caroline                        | Central  | 3.21804e+07 |      1.65131e+07 |      1.55844e+07 |  82951.4         |      1.31132e+06 |      1.07856e+06 | 232759           |   0 | 3.08691e+07 |      1.54345e+07 |      1.53516e+07 |  82951.4         |
|  35 | Carroll                         | Western  | 4.38387e+07 |      2.23572e+07 |      2.13935e+07 |  87983.5         |      1.35782e+06 |      1.11681e+06 | 241013           |   0 | 4.24808e+07 |      2.12404e+07 |      2.11524e+07 |  87983.5         |
|  36 | Charles City                    | Central  | 8.79602e+06 |      4.4867e+06  |      4.30932e+06 |      0           | 274996           | 226184           |  48811.8         |   0 | 8.52102e+06 |      4.26051e+06 |      4.26051e+06 |      0           |
|  37 | Charlotte                       | Piedmont | 1.84845e+07 |      9.38842e+06 |      9.03689e+06 |  59145.2         | 453322           | 372857           |  80464.7         |   0 | 1.80311e+07 |      9.01557e+06 |      8.95642e+06 |  59145.2         |
|  43 | Clarke                          | Northern | 1.00394e+07 |      5.12724e+06 |      4.85062e+06 |  61561.5         | 333430           | 274247           |  59183.9         |   0 | 9.70599e+06 |      4.853e+06   |      4.79143e+06 |  61561.5         |
|  45 | Craig                           | Piedmont | 5.20673e+06 |      2.67048e+06 |      2.5144e+06  |  21855.4         | 208113           | 171173           |  36940           |   0 | 4.99862e+06 |      2.49931e+06 |      2.47746e+06 |  21855.4         |
|  47 | Culpeper                        | Northern | 5.2591e+07  |      2.6992e+07  |      2.52749e+07 | 324139           |      2.15969e+06 |      1.77635e+06 | 383345           |   0 | 5.04313e+07 |      2.52157e+07 |      2.48915e+07 | 324139           |
|  49 | Cumberland                      | Central  | 1.7052e+07  |      8.67715e+06 |      8.30081e+06 |  74037           | 468688           | 385496           |  83192           |   0 | 1.65833e+07 |      8.29166e+06 |      8.21762e+06 |  74037           |
|  51 | Dickenson                       | Western  | 2.82556e+07 |      1.43566e+07 |      1.38047e+07 |  94321.7         | 709435           | 583510           | 125925           |   0 | 2.75462e+07 |      1.37731e+07 |      1.36788e+07 |  94321.7         |
|  53 | Dinwiddie                       | Eastern  | 3.74787e+07 |      1.90778e+07 |      1.82964e+07 | 104572           |      1.04936e+06 | 863099           | 186261           |   0 | 3.64294e+07 |      1.82147e+07 |      1.81101e+07 | 104572           |
|  57 | Essex                           | Central  | 1.60671e+07 |      8.20584e+06 |      7.78453e+06 |  76751.7         | 534196           | 439376           |  94819.8         |   0 | 1.55329e+07 |      7.76646e+06 |      7.68971e+06 |  76751.7         |
|  59 | Fairfax Co./ City/ Falls Church | Northern | 5.79024e+08 |      2.99205e+08 |      2.78896e+08 | 922889           |      3.00548e+07 |      2.47201e+07 |      5.33473e+06 |   0 | 5.48969e+08 |      2.74484e+08 |      2.73562e+08 | 922889           |
|  61 | Fauquier                        | Northern | 4.87058e+07 |      2.48591e+07 |      2.35008e+07 | 345950           |      1.56956e+06 |      1.29096e+06 | 278597           |   0 | 4.71362e+07 |      2.35681e+07 |      2.32222e+07 | 345950           |
|  63 | Floyd                           | Western  | 2.04379e+07 |      1.04947e+07 |      9.9134e+06  |  29878.5         | 854882           | 703140           | 151742           |   0 | 1.95831e+07 |      9.79153e+06 |      9.76165e+06 |  29878.5         |
|  65 | Fluvanna                        | Central  | 1.83711e+07 |      9.54142e+06 |      8.76173e+06 |  67961.5         |      1.10345e+06 | 907586           | 195862           |   0 | 1.72677e+07 |      8.63383e+06 |      8.56587e+06 |  67961.5         |
|  67 | Franklin Co.                    | Piedmont | 6.32948e+07 |      3.22223e+07 |      3.07726e+07 | 299867           |      1.78258e+06 |      1.46617e+06 | 316409           |   0 | 6.15122e+07 |      3.07561e+07 |      3.04562e+07 | 299867           |
|  71 | Giles                           | Western  | 2.50695e+07 |      1.28748e+07 |      1.21398e+07 |  54864.3         |      1.05449e+06 | 867315           | 187171           |   0 | 2.40151e+07 |      1.20075e+07 |      1.19527e+07 |  54864.3         |
|  73 | Gloucester                      | Eastern  | 3.56604e+07 |      1.81796e+07 |      1.7397e+07  |  83776.2         |      1.08352e+06 | 891192           | 192324           |   0 | 3.45769e+07 |      1.72884e+07 |      1.72047e+07 |  83776.2         |
|  75 | Goochland                       | Central  | 1.30005e+07 |      6.6323e+06  |      6.26928e+06 |  98977.6         | 409368           | 336705           |  72662.9         |   0 | 1.25912e+07 |      6.29559e+06 |      6.19661e+06 |  98977.6         |
|  77 | Grayson                         | Western  | 2.39954e+07 |      1.22796e+07 |      1.16924e+07 |  23406.5         | 874118           | 718962           | 155156           |   0 | 2.31213e+07 |      1.15606e+07 |      1.15372e+07 |  23406.5         |
|  79 | Greene                          | Northern | 1.81884e+07 |      9.39267e+06 |      8.75286e+06 |  42879           | 925473           | 761202           | 164272           |   0 | 1.72629e+07 |      8.63147e+06 |      8.58859e+06 |  42879           |
|  81 | Greensville/ Emporia            | Eastern  | 3.58035e+07 |      1.81814e+07 |      1.76099e+07 |  12197.1         | 867083           | 713176           | 153907           |   0 | 3.49364e+07 |      1.74682e+07 |      1.7456e+07  |  12197.1         |
|  83 | Halifax/ So. Boston             | Piedmont | 6.43496e+07 |      3.25569e+07 |      3.16441e+07 | 148700           |      1.18466e+06 | 974381           | 210277           |   0 | 6.3165e+07  |      3.15825e+07 |      3.14338e+07 | 148700           |
|  87 | Henrico                         | Central  | 3.02923e+08 |      1.54917e+08 |      1.47334e+08 | 671796           |      1.0716e+07  |      8.81387e+06 |      1.90208e+06 |   0 | 2.92207e+08 |      1.46103e+08 |      1.45432e+08 | 671796           |
|  91 | Highland                        | Piedmont | 1.95972e+06 | 996270           | 963081           |    366.73        |  50888.4         |  41855.7         |   9032.68        |   0 | 1.90883e+06 | 954415           | 954048           |    366.73        |
|  93 | Isle Of Wight                   | Eastern  | 3.48784e+07 |      1.77128e+07 |      1.71315e+07 |  34089           | 848264           | 697697           | 150567           |   0 | 3.40301e+07 |      1.70151e+07 |      1.6981e+07  |  34089           |
|  95 | James City                      | Eastern  | 3.14341e+07 |      1.62246e+07 |      1.51245e+07 |  84999.6         |      1.57375e+06 |      1.29441e+06 | 279340           |   0 | 2.98604e+07 |      1.49302e+07 |      1.48452e+07 |  84999.6         |
|  97 | King & Queen                    | Central  | 8.73653e+06 |      4.49724e+06 |      4.2105e+06  |  28787.4         | 399921           | 328935           |  70985.9         |   0 | 8.33661e+06 |      4.16831e+06 |      4.13952e+06 |  28787.4         |
| 101 | King William                    | Central  | 1.58885e+07 |      8.1056e+06  |      7.72302e+06 |  59853.8         | 500361           | 411547           |  88814           |   0 | 1.53881e+07 |      7.69406e+06 |      7.6342e+06  |  59853.8         |
| 103 | Lancaster                       | Central  | 1.26131e+07 |      6.422e+06   |      6.08159e+06 | 109503           | 357995           | 294451           |  63544.1         |   0 | 1.22551e+07 |      6.12755e+06 |      6.01804e+06 | 109503           |
| 105 | Lee                             | Western  | 5.07484e+07 |      2.56669e+07 |      2.50479e+07 |  33583.2         | 907589           | 746492           | 161097           |   0 | 4.98408e+07 |      2.49204e+07 |      2.48868e+07 |  33583.2         |
| 107 | Loudoun                         | Northern | 1.34315e+08 |      6.96602e+07 |      6.43955e+07 | 259334           |      7.76031e+06 |      6.38286e+06 |      1.37746e+06 |   0 | 1.26555e+08 |      6.32774e+07 |      6.30181e+07 | 259334           |
| 109 | Louisa                          | Northern | 3.96116e+07 |      2.02625e+07 |      1.89931e+07 | 355957           |      1.41624e+06 |      1.16486e+06 | 251382           |   0 | 3.81953e+07 |      1.90977e+07 |      1.87417e+07 | 355957           |
| 111 | Lunenburg                       | Central  | 1.84739e+07 |      9.41913e+06 |      9.01853e+06 |  36213.2         | 564930           | 464655           | 100275           |   0 | 1.79089e+07 |      8.95447e+06 |      8.91826e+06 |  36213.2         |
| 115 | Mathews                         | Eastern  | 1.10122e+07 |      5.58355e+06 |      5.41503e+06 |  13630.5         | 240133           | 197509           |  42623.6         |   0 | 1.07721e+07 |      5.38604e+06 |      5.37241e+06 |  13630.5         |
| 117 | Mecklenburg                     | Piedmont | 4.95831e+07 |      2.51534e+07 |      2.42927e+07 | 137015           |      1.12198e+06 | 922831           | 199152           |   0 | 4.84611e+07 |      2.42305e+07 |      2.40935e+07 | 137015           |
| 119 | Middlesex                       | Central  | 1.44831e+07 |      7.34002e+06 |      7.14282e+06 |    238.137       | 305370           | 251166           |  54203.1         |   0 | 1.41777e+07 |      7.08886e+06 |      7.08862e+06 |    238.137       |
| 121 | Montgomery                      | Western  | 6.32057e+07 |      3.23004e+07 |      3.08813e+07 |  23900.5         |      2.16309e+06 |      1.77914e+06 | 383948           |   0 | 6.10426e+07 |      3.05213e+07 |      3.04974e+07 |  23900.5         |
| 125 | Nelson                          | Piedmont | 2.02172e+07 |      1.03975e+07 |      9.76965e+06 |  50044.5         | 895770           | 736771           | 158999           |   0 | 1.93214e+07 |      9.66069e+06 |      9.61065e+06 |  50044.5         |
| 131 | Northampton                     | Eastern  | 3.02775e+07 |      1.54148e+07 |      1.48291e+07 |  33613.3         | 856030           | 704085           | 151945           |   0 | 2.94215e+07 |      1.47107e+07 |      1.46771e+07 |  33613.3         |
| 133 | Northumberland                  | Central  | 1.31567e+07 |      6.72172e+06 |      6.39514e+06 |  39819.3         | 444599           | 365682           |  78916.3         |   0 | 1.27121e+07 |      6.35604e+06 |      6.31622e+06 |  39819.3         |
| 135 | Nottoway                        | Central  | 2.5136e+07  |      1.27759e+07 |      1.22969e+07 |  63267.3         | 644469           | 530076           | 114393           |   0 | 2.44916e+07 |      1.22458e+07 |      1.21825e+07 |  63267.3         |
| 137 | Orange                          | Northern | 3.26005e+07 |      1.67398e+07 |      1.56607e+07 | 200057           |      1.36275e+06 |      1.12086e+06 | 241888           |   0 | 3.12378e+07 |      1.56189e+07 |      1.54188e+07 | 200057           |
| 139 | Page                            | Northern | 2.8205e+07  |      1.43994e+07 |      1.37215e+07 |  84044.4         | 920717           | 757290           | 163427           |   0 | 2.72843e+07 |      1.36422e+07 |      1.35581e+07 |  84044.4         |
| 141 | Patrick                         | Western  | 2.65056e+07 |      1.35531e+07 |      1.29084e+07 |  44051.1         | 931240           | 765945           | 165295           |   0 | 2.55744e+07 |      1.27872e+07 |      1.27431e+07 |  44051.1         |
| 143 | Pittsylvania                    | Piedmont | 9.12337e+07 |      4.64123e+07 |      4.4728e+07  |  93384.6         |      2.46663e+06 |      2.0288e+06  | 437826           |   0 | 8.8767e+07  |      4.43835e+07 |      4.42901e+07 |  93384.6         |
| 145 | Powhatan                        | Central  | 1.4828e+07  |      7.58476e+06 |      7.02361e+06 | 219672           | 529417           | 435445           |  93971.4         |   0 | 1.42986e+07 |      7.14931e+06 |      6.92964e+06 | 219672           |
| 147 | Prince Edward                   | Central  | 3.18843e+07 |      1.61584e+07 |      1.56902e+07 |  35772.5         | 670393           | 551398           | 118995           |   0 | 3.12139e+07 |      1.5607e+07  |      1.55712e+07 |  35772.5         |
| 149 | Prince George                   | Eastern  | 2.40969e+07 |      1.22679e+07 |      1.17725e+07 |  56465.7         | 680442           | 559664           | 120779           |   0 | 2.34165e+07 |      1.17082e+07 |      1.16518e+07 |  56465.7         |
| 153 | Prince William                  | Northern | 2.95534e+08 |      1.53932e+08 |      1.40873e+08 | 729724           |      1.91154e+07 |      1.57224e+07 |      3.39298e+06 |   0 | 2.76419e+08 |      1.38209e+08 |      1.3748e+08  | 729724           |
| 157 | Rappahannock                    | Northern | 4.24527e+06 |      2.18911e+06 |      1.93384e+06 | 122330           | 206105           | 169522           |  36583.7         |   0 | 4.03917e+06 |      2.01958e+06 |      1.89725e+06 | 122330           |
| 159 | Richmond Co.                    | Central  | 1.14943e+07 |      5.86106e+06 |      5.68363e+06 | -50389.3         | 353216           | 290520           |  62695.8         |   0 | 1.11411e+07 |      5.57054e+06 |      5.62093e+06 | -50389.3         |
| 165 | Rockingham/ Harrisonburg        | Northern | 1.03193e+08 |      5.34478e+07 |      4.92142e+07 | 531418           |      5.73993e+06 |      4.7211e+06  |      1.01884e+06 |   0 | 9.74535e+07 |      4.87267e+07 |      4.81953e+07 | 531418           |
| 167 | Russell                         | Western  | 4.29306e+07 |      2.18538e+07 |      2.09803e+07 |  96529.7         |      1.20459e+06 | 990778           | 213815           |   0 | 4.1726e+07  |      2.0863e+07  |      2.07665e+07 |  96529.7         |
| 169 | Scott                           | Western  | 3.50692e+07 |      1.77986e+07 |      1.725e+07   |  20680.4         | 818461           | 673184           | 145277           |   0 | 3.42507e+07 |      1.71254e+07 |      1.71047e+07 |  20680.4         |
| 171 | Shenandoah                      | Northern | 4.66977e+07 |      2.39556e+07 |      2.25854e+07 | 156709           |      1.88136e+06 |      1.54741e+06 | 333941           |   0 | 4.48163e+07 |      2.24082e+07 |      2.22514e+07 | 156709           |
| 173 | Smyth                           | Western  | 4.94478e+07 |      2.51793e+07 |      2.42036e+07 |  64852.3         |      1.4122e+06  |      1.16153e+06 | 250665           |   0 | 4.80356e+07 |      2.40178e+07 |      2.39529e+07 |  64852.3         |
| 175 | Southampton                     | Eastern  | 2.6569e+07  |      1.35004e+07 |      1.29974e+07 |  71161.4         | 669548           | 550703           | 118845           |   0 | 2.58994e+07 |      1.29497e+07 |      1.28786e+07 |  71161.4         |
| 177 | Spotsylvania                    | Northern | 1.11082e+08 |      5.67822e+07 |      5.36299e+07 | 670400           |      3.84796e+06 |      3.16495e+06 | 683014           |   0 | 1.07235e+08 |      5.36173e+07 |      5.29469e+07 | 670400           |
| 179 | Stafford                        | Northern | 8.92057e+07 |      4.57801e+07 |      4.31854e+07 | 240274           |      3.65024e+06 |      3.00232e+06 | 647918           |   0 | 8.55555e+07 |      4.27777e+07 |      4.25375e+07 | 240274           |
| 181 | Surry                           | Eastern  | 8.61385e+06 |      4.37268e+06 |      4.22786e+06 |  13308.8         | 203887           | 167697           |  36190           |   0 | 8.40997e+06 |      4.20498e+06 |      4.19167e+06 |  13308.8         |
| 183 | Sussex                          | Eastern  | 1.80289e+07 |      9.10786e+06 |      8.91032e+06 |  10721.3         | 289650           | 238237           |  51412.9         |   0 | 1.77393e+07 |      8.86963e+06 |      8.85891e+06 |  10721.3         |
| 185 | Tazewell                        | Western  | 5.87078e+07 |      2.97886e+07 |      2.88333e+07 |  85815.1         |      1.34798e+06 |      1.10871e+06 | 239266           |   0 | 5.73598e+07 |      2.86799e+07 |      2.85941e+07 |  85815.1         |
| 187 | Warren                          | Northern | 4.08993e+07 |      2.09228e+07 |      1.98484e+07 | 128088           |      1.46708e+06 |      1.20667e+06 | 260407           |   0 | 3.94322e+07 |      1.97161e+07 |      1.9588e+07  | 128088           |
| 191 | Washington                      | Western  | 5.94583e+07 |      3.02694e+07 |      2.91128e+07 |  76113.3         |      1.6753e+06  |      1.37793e+06 | 297366           |   0 | 5.7783e+07  |      2.88915e+07 |      2.88154e+07 |  76113.3         |
| 193 | Westmoreland                    | Central  | 2.12982e+07 |      1.08584e+07 |      1.04209e+07 |  18862.1         | 649046           | 533840           | 115206           |   0 | 2.06491e+07 |      1.03246e+07 |      1.03057e+07 |  18862.1         |
| 195 | Wise                            | Western  | 6.8252e+07  |      3.45879e+07 |      3.36469e+07 |  17195.8         |      1.43229e+06 |      1.17806e+06 | 254231           |   0 | 6.68197e+07 |      3.34099e+07 |      3.33927e+07 |  17195.8         |
| 197 | Wythe                           | Western  | 3.85922e+07 |      1.96589e+07 |      1.88987e+07 |  34584.7         |      1.12494e+06 | 925265           | 199677           |   0 | 3.74672e+07 |      1.87336e+07 |      1.8699e+07  |  34584.7         |
| 199 | York/ Poquoson                  | Eastern  | 3.30873e+07 |      1.68744e+07 |      1.61117e+07 | 101228           |      1.02566e+06 | 843607           | 182055           |   0 | 3.20617e+07 |      1.60308e+07 |      1.59296e+07 | 101228           |
| 510 | Alexandria                      | Northern | 1.03015e+08 |      5.32954e+07 |      4.94479e+07 | 271508           |      5.54417e+06 |      4.56008e+06 | 984091           |   0 | 9.74706e+07 |      4.87353e+07 |      4.84638e+07 | 271508           |
| 520 | Bristol                         | Western  | 2.84106e+07 |      1.43922e+07 |      1.38724e+07 | 146028           | 579469           | 476614           | 102856           |   0 | 2.78311e+07 |      1.39156e+07 |      1.37695e+07 | 146028           |
| 540 | Charlottesville                 | Piedmont | 5.4677e+07  |      2.78319e+07 |      2.66517e+07 | 193389           |      1.52997e+06 |      1.2584e+06  | 271570           |   0 | 5.3147e+07  |      2.65735e+07 |      2.63801e+07 | 193389           |
| 550 | Chesapeake                      | Eastern  | 1.97733e+08 |      1.0085e+08  |      9.67068e+07 | 175632           |      6.15176e+06 |      5.05982e+06 |      1.09194e+06 |   0 | 1.91581e+08 |      9.57905e+07 |      9.56148e+07 | 175632           |
| 620 | Franklin                        | Eastern  | 2.37344e+07 |      1.20086e+07 |      1.17233e+07 |   2448.96        | 438546           | 360704           |  77841.9         |   0 | 2.32958e+07 |      1.16479e+07 |      1.16455e+07 |   2448.96        |
| 630 | Fredericksburg                  | Northern | 3.37786e+07 |      1.71789e+07 |      1.65303e+07 |  69433.8         | 897953           | 738566           | 159387           |   0 | 3.28807e+07 |      1.64403e+07 |      1.63709e+07 |  69433.8         |
| 640 | Galax                           | Western  | 1.6562e+07  |      8.41109e+06 |      8.12728e+06 |  23583.2         | 403449           | 331837           |  71612.2         |   0 | 1.61585e+07 |      8.07925e+06 |      8.05567e+06 |  23583.2         |
| 650 | Hampton                         | Eastern  | 1.79884e+08 |      9.1396e+07  |      8.84625e+07 |  25532.6         |      4.50839e+06 |      3.70815e+06 | 800238           |   0 | 1.75376e+08 |      8.76878e+07 |      8.76623e+07 |  25532.6         |
| 670 | Hopewell                        | Central  | 4.62677e+07 |      2.35867e+07 |      2.25658e+07 | 115173           |      1.4043e+06  |      1.15504e+06 | 249264           |   0 | 4.48634e+07 |      2.24317e+07 |      2.23165e+07 | 115173           |
| 680 | Lynchburg                       | Piedmont | 1.15319e+08 |      5.84509e+07 |      5.64738e+07 | 394422           |      2.45381e+06 |      2.01826e+06 | 435551           |   0 | 1.12865e+08 |      5.64326e+07 |      5.60382e+07 | 394422           |
| 683 | Manassas                        | Northern | 3.58193e+07 |      1.878e+07   |      1.69104e+07 | 128874           |      2.69889e+06 |      2.21984e+06 | 479053           |   0 | 3.31204e+07 |      1.65602e+07 |      1.64313e+07 | 128874           |
| 685 | Manassas Park                   | Northern | 1.19719e+07 |      6.40145e+06 |      5.54483e+06 |  25660.7         |      1.28831e+06 |      1.05963e+06 | 228674           |   0 | 1.06836e+07 |      5.34182e+06 |      5.31616e+06 |  25660.7         |
| 700 | Newport News                    | Eastern  | 2.28789e+08 |      1.16464e+08 |      1.12161e+08 | 162839           |      6.41887e+06 |      5.27952e+06 |      1.13935e+06 |   0 | 2.2237e+08  |      1.11185e+08 |      1.11022e+08 | 162839           |
| 710 | Norfolk                         | Eastern  | 3.51665e+08 |      1.77908e+08 |      1.73314e+08 | 442632           |      6.43714e+06 |      5.29455e+06 |      1.14259e+06 |   0 | 3.45228e+08 |      1.72614e+08 |      1.72171e+08 | 442632           |
| 730 | Petersburg                      | Central  | 9.59299e+07 |      4.83853e+07 |      4.72123e+07 | 332340           |      1.30323e+06 |      1.0719e+06  | 231323           |   0 | 9.46267e+07 |      4.73134e+07 |      4.6981e+07  | 332340           |
| 740 | Portsmouth                      | Eastern  | 1.79889e+08 |      9.11007e+07 |      8.86723e+07 | 115624           |      3.58562e+06 |      2.94917e+06 | 636448           |   0 | 1.76303e+08 |      8.81515e+07 |      8.80359e+07 | 115624           |
| 750 | Radford                         | Western  | 1.40181e+07 |      7.11152e+06 |      6.85991e+06 |  46656.2         | 317758           | 261356           |  56402           |   0 | 1.37003e+07 |      6.85016e+06 |      6.80351e+06 |  46656.2         |
| 760 | Richmond                        | Central  | 4.46666e+08 |      2.25371e+08 |      2.19731e+08 |      1.56268e+06 |      6.32131e+06 |      5.19928e+06 |      1.12203e+06 |   0 | 4.40344e+08 |      2.20172e+08 |      2.18609e+08 |      1.56268e+06 |
| 770 | Roanoke                         | Piedmont | 1.90463e+08 |      9.65997e+07 |      9.34277e+07 | 435214           |      4.24318e+06 |      3.49002e+06 | 753164           |   0 | 1.86219e+08 |      9.31097e+07 |      9.26745e+07 | 435214           |
| 800 | Suffolk                         | Eastern  | 1.23688e+08 |      6.25255e+07 |      6.10865e+07 |  75945.2         |      2.11321e+06 |      1.73811e+06 | 375094           |   0 | 1.21575e+08 |      6.07874e+07 |      6.07114e+07 |  75945.2         |
| 810 | Virginia Beach                  | Eastern  | 3.30723e+08 |      1.69188e+08 |      1.6067e+08  | 864016           |      1.18671e+07 |      9.76069e+06 |      2.10641e+06 |   0 | 3.18856e+08 |      1.59428e+08 |      1.58564e+08 | 864016           |
| 830 | Williamsburg                    | Eastern  | 7.27017e+06 |      3.70728e+06 |      3.5271e+06  |  35792.5         | 223858           | 184124           |  39734.9         |   0 | 7.04631e+06 |      3.52316e+06 |      3.48736e+06 |  35792.5         |
| 840 | Winchester                      | Northern | 4.13049e+07 |      2.1139e+07  |      2.00312e+07 | 134781           |      1.50851e+06 |      1.24075e+06 | 267761           |   0 | 3.97964e+07 |      1.98982e+07 |      1.97634e+07 | 134781           |



label: D=H+L
G=K+O
H=I+J+K
L=M+N+O
labeled_formulas: D=H+L
G=K+O
M=G+N
J=H-I
H=I+J+K
L=M+N+O
O=(A*K)+G
O=(D-E)-F
M=(D-E)-J
O=(D*K)+G
L=(D-H)+K
L=(D-I)-J
N=(E-G)-I
O=(E*K)+G
M=(E-H)+J
M=(E-I)+K
M=(F+G)-J
O=(F*K)+G
N=(F-H)+I
N=(F-J)+K
K=(G-O)*H
K=(G-O)*I
K=(G-O)*J
K=(G-O)*L
K=(G-O)*M
K=(G-O)*N
L=(G+M)+N
O=(K+M)-N
output: {"Arithmetic-Relationship": ["D=H+L", "G=K+O", "H=I+J+K", "L=M+N+O"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_518622___xlsx_3092d67527a3e1cad7a3b0bdd14ce703917ebf64.xlsx___line_226