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 |
|:-----------------|:---------|:-----------------|:---------|------:|------:|-----:|----------:|----------:|-------:|-------:|------------:|-------------:|
| Detroit          | Michigan | Grand Rapids     | Michigan | 160.2 | 140.6 | 19.6 | 2.02186   | 0.139403  | 951270 | 197800 | 2.62302e+10 | 188161206000 |
| Detroit          | Michigan | Warren           | Michigan |  17.6 |  12.2 |  5.4 | 0.175439  | 0.442623  | 951270 | 138247 | 5.82094e+10 | 131510223690 |
| Detroit          | Michigan | Flint            | Michigan |  69.5 |  58.2 | 11.3 | 0.836928  | 0.194158  | 951270 | 124943 | 2.30766e+10 | 118854527610 |
| Detroit          | Michigan | Sterling Heights | Michigan |  21.9 |  16.3 |  5.6 | 0.234397  | 0.343558  | 951270 | 124471 | 4.06792e+10 | 118405528170 |
| Detroit          | Michigan | Lansing          | Michigan |  93.4 |  81.4 | 12   | 1.17055   | 0.14742   | 951270 | 119373 | 1.67404e+10 | 113555953710 |
| Detroit          | Michigan | Ann Arbor        | Michigan |  43.7 |  35.4 |  8.3 | 0.50906   | 0.234463  | 951270 | 114394 | 2.55142e+10 | 108819580380 |
| Detroit          | Michigan | Livonia          | Michigan |  20.4 |  17.4 |  3   | 0.250216  | 0.172414  | 951270 | 100545 | 1.64906e+10 |  95645442150 |
| Detroit          | Michigan | Dearborn         | Michigan |  10.6 |   8.7 |  1.9 | 0.125108  | 0.218391  | 951270 |  97703 | 2.02977e+10 |  92941932810 |
| Detroit          | Michigan | Westland         | Michigan |  26   |  17.1 |  8.9 | 0.245902  | 0.520468  | 951270 |  86602 | 4.28771e+10 |  82381884540 |
| Detroit          | Michigan | Farmington Hills | Michigan |  26   |  19.2 |  6.8 | 0.2761    | 0.354167  | 951270 |  82111 | 2.76639e+10 |  78109730970 |
| Detroit          | Michigan | Troy             | Michigan |  23.1 |  19.2 |  3.9 | 0.2761    | 0.203125  | 951270 |  80957 | 1.56431e+10 |  77011965390 |
| Detroit          | Michigan | Southfield       | Michigan |  17.1 |  15   |  2.1 | 0.215703  | 0.14      | 951270 |  78296 | 1.04273e+10 |  74480635920 |
| Detroit          | Michigan | Kalamazoo        | Michigan | 139.8 | 130.4 |  9.4 | 1.87518   | 0.0720859 | 951270 |  77145 | 5.29008e+09 |  73385724150 |
| Detroit          | Michigan | Wyoming          | Michigan | 163.6 | 140.9 | 22.7 | 2.02617   | 0.161107  | 951270 |  69385 | 1.06337e+10 |  66003868950 |
| Detroit          | Michigan | Rochester Hills  | Michigan |  27.9 |  25.6 |  2.3 | 0.368133  | 0.0898437 | 951270 |  68853 | 5.88457e+09 |  65497793310 |
| Detroit          | Michigan | Pontiac          | Michigan |  31.2 |  24.8 |  6.4 | 0.356629  | 0.258065  | 951270 |  67561 | 1.65855e+10 |  64268752470 |
| Detroit          | Michigan | Taylor           | Michigan |  15.1 |  14   |  1.1 | 0.201323  | 0.0785714 | 951270 |  65868 | 4.92315e+09 |  62658252360 |
| Detroit          | Michigan | St. Clair Shores | Michigan |  17.4 |  13.7 |  3.7 | 0.197009  | 0.270073  | 951270 |  63096 | 1.62101e+10 |  60021331920 |
| Detroit          | Michigan | Saginaw          | Michigan | 103.9 |  89.1 | 14.8 | 1.28128   | 0.166105  | 951270 |  61792 | 9.76383e+09 |  58780875840 |
| Grand Rapids     | Michigan | Warren           | Michigan | 154.1 | 137.9 | 16.2 | 1.98303   | 0.117476  | 197800 | 138247 | 3.21242e+09 |  27345256600 |
| Grand Rapids     | Michigan | Flint            | Michigan | 114.8 | 100   | 14.8 | 1.43802   | 0.148     | 197800 | 124943 | 3.65763e+09 |  24713725400 |
| Grand Rapids     | Michigan | Sterling Heights | Michigan | 158.5 | 136.9 | 21.6 | 1.96865   | 0.157779  | 197800 | 124471 | 3.88459e+09 |  24620363800 |
| Grand Rapids     | Michigan | Lansing          | Michigan |  68.7 |  59.2 |  9.5 | 0.851309  | 0.160473  | 197800 | 119373 | 3.78908e+09 |  23611979400 |
| Grand Rapids     | Michigan | Ann Arbor        | Michigan | 132.1 | 109.5 | 22.6 | 1.57463   | 0.206393  | 197800 | 114394 | 4.67007e+09 |  22627133200 |
| Grand Rapids     | Michigan | Livonia          | Michigan | 139.3 | 123.2 | 16.1 | 1.77164   | 0.130682  | 197800 | 100545 | 2.59897e+09 |  19887801000 |
| Grand Rapids     | Michigan | Dearborn         | Michigan | 153.9 | 132.9 | 21   | 1.91113   | 0.158014  | 197800 |  97703 | 3.05371e+09 |  19325653400 |
| Grand Rapids     | Michigan | Westland         | Michigan | 146.6 | 125.1 | 21.5 | 1.79896   | 0.171863  | 197800 |  86602 | 2.94398e+09 |  17129875600 |
| Grand Rapids     | Michigan | Farmington Hills | Michigan | 135.4 | 122.1 | 13.3 | 1.75582   | 0.108927  | 197800 |  82111 | 1.76915e+09 |  16241555800 |
| Grand Rapids     | Michigan | Troy             | Michigan | 154.9 | 129.6 | 25.3 | 1.86368   | 0.195216  | 197800 |  80957 | 3.12605e+09 |  16013294600 |
| Grand Rapids     | Michigan | Southfield       | Michigan | 140.5 | 127   | 13.5 | 1.82629   | 0.106299  | 197800 |  78296 | 1.64625e+09 |  15486948800 |
| Grand Rapids     | Michigan | Kalamazoo        | Michigan |  51   |  47.2 |  3.8 | 0.678746  | 0.0805085 | 197800 |  77145 | 1.2285e+09  |  15259281000 |
| Grand Rapids     | Michigan | Wyoming          | Michigan |   6.6 |   5.3 |  1.3 | 0.0762151 | 0.245283  | 197800 |  69385 | 3.36635e+09 |  13724353000 |
| Grand Rapids     | Michigan | Rochester Hills  | Michigan | 154.1 | 130.5 | 23.6 | 1.87662   | 0.180843  | 197800 |  68853 | 2.46292e+09 |  13619123400 |
| Grand Rapids     | Michigan | Pontiac          | Michigan | 144.2 | 122.7 | 21.5 | 1.76445   | 0.175224  | 197800 |  67561 | 2.34162e+09 |  13363565800 |
| Grand Rapids     | Michigan | Taylor           | Michigan | 159.6 | 133   | 26.6 | 1.91257   | 0.2       | 197800 |  65868 | 2.60574e+09 |  13028690400 |
| Grand Rapids     | Michigan | St. Clair Shores | Michigan | 159.7 | 144.6 | 15.1 | 2.07938   | 0.104426  | 197800 |  63096 | 1.30328e+09 |  12480388800 |
| Grand Rapids     | Michigan | Saginaw          | Michigan | 147   |  92.6 | 54.4 | 1.33161   | 0.587473  | 197800 |  61792 | 7.18036e+09 |  12222457600 |
| Warren           | Michigan | Flint            | Michigan |  60.2 |  49.2 | 11   | 0.707506  | 0.223577  | 138247 | 124943 | 3.86185e+09 |  17272994921 |
| Warren           | Michigan | Sterling Heights | Michigan |   4.3 |   4.1 |  0.2 | 0.0589589 | 0.0487805 | 138247 | 124471 | 8.39402e+08 |  17207742337 |
| Warren           | Michigan | Lansing          | Michigan |  87.5 |  78.9 |  8.6 | 1.1346    | 0.108999  | 138247 | 119373 | 1.7988e+09  |  16502959131 |
| Warren           | Michigan | Ann Arbor        | Michigan |  51.1 |  39.3 | 11.8 | 0.565142  | 0.300254  | 138247 | 114394 | 4.74841e+09 |  15814627318 |
| Warren           | Michigan | Livonia          | Michigan |  28.7 |  19.2 |  9.5 | 0.2761    | 0.494792  | 138247 | 100545 | 6.87763e+09 |  13900044615 |
| Warren           | Michigan | Dearborn         | Michigan |  23.3 |  16.5 |  6.8 | 0.237274  | 0.412121  | 138247 |  97703 | 5.56658e+09 |  13507146641 |
| Warren           | Michigan | Westland         | Michigan |  39.4 |  22.5 | 16.9 | 0.323555  | 0.751111  | 138247 |  86602 | 8.99265e+09 |  11972466694 |
| Warren           | Michigan | Farmington Hills | Michigan |  20.1 |  16.9 |  3.2 | 0.243026  | 0.189349  | 138247 |  82111 | 2.14942e+09 |  11351599417 |
| Warren           | Michigan | Troy             | Michigan |  13.7 |   9.3 |  4.4 | 0.133736  | 0.473118  | 138247 |  80957 | 5.29517e+09 |  11192062379 |
| Warren           | Michigan | Southfield       | Michigan |  15.1 |  12   |  3.1 | 0.172563  | 0.258333  | 138247 |  78296 | 2.79625e+09 |  10824187112 |
| Warren           | Michigan | Kalamazoo        | Michigan | 147.2 | 131.9 | 15.3 | 1.89675   | 0.115997  | 138247 |  77145 | 1.23712e+09 |  10665064815 |
| Warren           | Michigan | Wyoming          | Michigan | 157.7 | 138.7 | 19   | 1.99454   | 0.136986  | 138247 |  69385 | 1.31401e+09 |   9592268095 |
| Warren           | Michigan | Rochester Hills  | Michigan |  19.2 |  14   |  5.2 | 0.201323  | 0.371429  | 138247 |  68853 | 3.53552e+09 |   9518720691 |
| Warren           | Michigan | Pontiac          | Michigan |  21.8 |  16.3 |  5.5 | 0.234397  | 0.337423  | 138247 |  67561 | 3.15157e+09 |   9340105567 |
| Warren           | Michigan | Taylor           | Michigan |  32.1 |  23.8 |  8.3 | 0.342249  | 0.348739  | 138247 |  65868 | 3.17564e+09 |   9106053396 |
| Warren           | Michigan | St. Clair Shores | Michigan |   7.9 |   6.7 |  1.2 | 0.0963474 | 0.179104  | 138247 |  63096 | 1.5623e+09  |   8722832712 |
| Warren           | Michigan | Saginaw          | Michigan |  94.5 |  79.4 | 15.1 | 1.14179   | 0.190176  | 138247 |  61792 | 1.62459e+09 |   8542558624 |
| Flint            | Michigan | Sterling Heights | Michigan |  58.2 |  46.2 | 12   | 0.664366  | 0.25974   | 124943 | 124471 | 4.03942e+09 |  15551780153 |
| Flint            | Michigan | Lansing          | Michigan |  58   |  47.7 | 10.3 | 0.685936  | 0.215933  | 124943 | 119373 | 3.2206e+09  |  14914820739 |
| Flint            | Michigan | Ann Arbor        | Michigan |  56.8 |  51.6 |  5.2 | 0.742019  | 0.100775  | 124943 | 114394 | 1.44035e+09 |  14292729542 |
| Flint            | Michigan | Livonia          | Michigan |  63.9 |  46.3 | 17.6 | 0.665804  | 0.38013   | 124943 | 100545 | 4.77534e+09 |  12562393935 |
| Flint            | Michigan | Dearborn         | Michigan |  75   |  55   | 20   | 0.790912  | 0.363636  | 124943 |  97703 | 4.43902e+09 |  12207305929 |
| Flint            | Michigan | Westland         | Michigan |  71.2 |  51.9 | 19.3 | 0.746333  | 0.371869  | 124943 |  86602 | 4.02374e+09 |  10820313686 |
| Flint            | Michigan | Farmington Hills | Michigan |  60   |  40.9 | 19.1 | 0.588151  | 0.466993  | 124943 |  82111 | 4.79097e+09 |  10259194673 |
| Flint            | Michigan | Troy             | Michigan |  48   |  40   |  8   | 0.575209  | 0.2       | 124943 |  80957 | 2.023e+09   |  10115010451 |
| Flint            | Michigan | Southfield       | Michigan |  66.7 |  43.7 | 23   | 0.628415  | 0.526316  | 124943 |  78296 | 5.1487e+09  |   9782537128 |
| Flint            | Michigan | Kalamazoo        | Michigan | 131.5 | 109.2 | 22.3 | 1.57032   | 0.204212  | 124943 |  77145 | 1.96835e+09 |   9638727735 |
| Flint            | Michigan | Wyoming          | Michigan | 117.9 | 102.2 | 15.7 | 1.46966   | 0.15362   | 124943 |  69385 | 1.33176e+09 |   8669170055 |
| Flint            | Michigan | Rochester Hills  | Michigan |  47.2 |  36.7 | 10.5 | 0.527754  | 0.286104  | 124943 |  68853 | 2.46126e+09 |   8602700379 |
| Flint            | Michigan | Pontiac          | Michigan |  37.3 |  33.5 |  3.8 | 0.481737  | 0.113433  | 124943 |  67561 | 9.57518e+08 |   8441274023 |
| Flint            | Michigan | Taylor           | Michigan |  83.8 |  60.2 | 23.6 | 0.865689  | 0.392027  | 124943 |  65868 | 3.22628e+09 |   8229745524 |
| Flint            | Michigan | St. Clair Shores | Michigan |  69.2 |  54.5 | 14.7 | 0.783722  | 0.269725  | 124943 |  63096 | 2.12635e+09 |   7883403528 |
| Flint            | Michigan | Saginaw          | Michigan |  38.4 |  31.3 |  7.1 | 0.450101  | 0.226837  | 124943 |  61792 | 1.75129e+09 |   7720477856 |
| Sterling Heights | Michigan | Lansing          | Michigan |  91.6 |  78   | 13.6 | 1.12166   | 0.174359  | 124471 | 119373 | 2.59071e+09 |  14858476683 |
| Sterling Heights | Michigan | Ann Arbor        | Michigan |  55.1 |  41.1 | 14   | 0.591027  | 0.340633  | 124471 | 114394 | 4.85018e+09 |  14238735574 |
| Sterling Heights | Michigan | Livonia          | Michigan |  32.7 |  21   | 11.7 | 0.301984  | 0.557143  | 124471 | 100545 | 6.97261e+09 |  12514936695 |
| Sterling Heights | Michigan | Dearborn         | Michigan |  27.4 |  20   |  7.4 | 0.287604  | 0.37      | 124471 |  97703 | 4.49964e+09 |  12161190113 |
| Sterling Heights | Michigan | Westland         | Michigan |  43.5 |  25.1 | 18.4 | 0.360943  | 0.733068  | 124471 |  86602 | 7.90206e+09 |  10779437542 |
| Sterling Heights | Michigan | Farmington Hills | Michigan |  24.2 |  17.6 |  6.6 | 0.253092  | 0.375     | 124471 |  82111 | 3.83266e+09 |  10220438281 |
| Sterling Heights | Michigan | Troy             | Michigan |  12   |   7.3 |  4.7 | 0.104976  | 0.643836  | 124471 |  80957 | 6.4878e+09  |  10076798747 |
| Sterling Heights | Michigan | Southfield       | Michigan |  19.1 |  13.3 |  5.8 | 0.191257  | 0.43609   | 124471 |  78296 | 4.24995e+09 |   9745581416 |
| Sterling Heights | Michigan | Kalamazoo        | Michigan | 151.3 | 132.3 | 19   | 1.9025    | 0.143613  | 124471 |  77145 | 1.37902e+09 |   9602315295 |
| Sterling Heights | Michigan | Wyoming          | Michigan | 161.8 | 137.8 | 24   | 1.98159   | 0.174165  | 124471 |  69385 | 1.50417e+09 |   8636420335 |
| Sterling Heights | Michigan | Rochester Hills  | Michigan |  15.4 |  10.2 |  5.2 | 0.146678  | 0.509804  | 124471 |  68853 | 4.36912e+09 |   8570201763 |
| Sterling Heights | Michigan | Pontiac          | Michigan |  20.1 |  14.3 |  5.8 | 0.205637  | 0.405594  | 124471 |  67561 | 3.4108e+09  |   8409385231 |
| Sterling Heights | Michigan | Taylor           | Michigan |  36.2 |  27.3 |  8.9 | 0.39258   | 0.326007  | 124471 |  65868 | 2.67282e+09 |   8198655828 |
| Sterling Heights | Michigan | St. Clair Shores | Michigan |  11.9 |   8.3 |  3.6 | 0.119356  | 0.433735  | 124471 |  63096 | 3.40639e+09 |   7853622216 |
| Sterling Heights | Michigan | Saginaw          | Michigan |  93   |  76.1 | 16.9 | 1.09433   | 0.222076  | 124471 |  61792 | 1.70806e+09 |   7691312032 |
| Lansing          | Michigan | Ann Arbor        | Michigan |  65.3 |  52.1 | 13.2 | 0.749209  | 0.253359  | 119373 | 114394 | 3.45976e+09 |  13655554962 |
| Lansing          | Michigan | Livonia          | Michigan |  72.5 |  64.1 |  8.4 | 0.921772  | 0.131045  | 119373 | 100545 | 1.57285e+09 |  12002358285 |
| Lansing          | Michigan | Dearborn         | Michigan |  87.1 |  73.9 | 13.2 | 1.0627    | 0.17862   | 119373 |  97703 | 2.08326e+09 |  11663100219 |
| Lansing          | Michigan | Westland         | Michigan |  79.8 |  66.3 | 13.5 | 0.953408  | 0.20362   | 119373 |  86602 | 2.10501e+09 |  10337940546 |
| Lansing          | Michigan | Farmington Hills | Michigan |  68.6 |  62.9 |  5.7 | 0.904515  | 0.09062   | 119373 |  82111 | 8.88243e+08 |   9801836403 |
| Lansing          | Michigan | Troy             | Michigan |  92.7 |  70.8 | 21.9 | 1.01812   | 0.309322  | 119373 |  80957 | 2.98931e+09 |   9664079961 |
| Lansing          | Michigan | Southfield       | Michigan |  73.6 |  67.8 |  5.8 | 0.974978  | 0.0855457 | 119373 |  78296 | 7.99547e+08 |   9346428408 |
| Lansing          | Michigan | Kalamazoo        | Michigan |  76.4 |  61.6 | 14.8 | 0.885821  | 0.24026   | 119373 |  77145 | 2.21256e+09 |   9209030085 |
| Lansing          | Michigan | Wyoming          | Michigan |  71.4 |  59.9 | 11.5 | 0.861375  | 0.191987  | 119373 |  69385 | 1.59017e+09 |   8282695605 |
| Lansing          | Michigan | Rochester Hills  | Michigan |  96.6 |  72.4 | 24.2 | 1.04113   | 0.334254  | 119373 |  68853 | 2.7473e+09  |   8219189169 |
| Lansing          | Michigan | Pontiac          | Michigan |  79.4 |  64.1 | 15.3 | 0.921772  | 0.23869   | 119373 |  67561 | 1.92502e+09 |   8064959253 |
| Lansing          | Michigan | Taylor           | Michigan |  92.7 |  74.5 | 18.2 | 1.07133   | 0.244295  | 119373 |  65868 | 1.92086e+09 |   7862860764 |
| Lansing          | Michigan | St. Clair Shores | Michigan |  92.9 |  85.5 |  7.4 | 1.22951   | 0.0865497 | 119373 |  63096 | 6.51889e+08 |   7531958808 |
| Lansing          | Michigan | Saginaw          | Michigan |  89.5 |  57.3 | 32.2 | 0.823986  | 0.561955  | 119373 |  61792 | 4.14514e+09 |   7376296416 |
| Ann Arbor        | Michigan | Livonia          | Michigan |  25.3 |  20.2 |  5.1 | 0.29048   | 0.252475  | 114394 | 100545 | 2.90391e+09 |  11501744730 |
| Ann Arbor        | Michigan | Dearborn         | Michigan |  33.8 |  26.6 |  7.2 | 0.382514  | 0.270677  | 114394 |  97703 | 3.02526e+09 |  11176636982 |
| Ann Arbor        | Michigan | Westland         | Michigan |  23.3 |  18.3 |  5   | 0.263158  | 0.273224  | 114394 |  86602 | 2.70676e+09 |   9906749188 |
| Ann Arbor        | Michigan | Farmington Hills | Michigan |  32.7 |  24   |  8.7 | 0.345125  | 0.3625    | 114394 |  82111 | 3.40496e+09 |   9393005734 |
| Ann Arbor        | Michigan | Troy             | Michigan |  56.8 |  36.1 | 20.7 | 0.519126  | 0.573407  | 114394 |  80957 | 5.31032e+09 |   9260995058 |
| Ann Arbor        | Michigan | Southfield       | Michigan |  37.7 |  27.8 |  9.9 | 0.39977   | 0.356115  | 114394 |  78296 | 3.18958e+09 |   8956592624 |
| Ann Arbor        | Michigan | Kalamazoo        | Michigan |  99.3 |  95.2 |  4.1 | 1.369     | 0.0430672 | 114394 |  77145 | 3.80065e+08 |   8824925130 |
| Ann Arbor        | Michigan | Wyoming          | Michigan | 136.1 | 109.2 | 26.9 | 1.57032   | 0.246337  | 114394 |  69385 | 1.95523e+09 |   7937227690 |
| Ann Arbor        | Michigan | Rochester Hills  | Michigan |  61.6 |  42.5 | 19.1 | 0.611159  | 0.449412  | 114394 |  68853 | 3.53973e+09 |   7876370082 |
| Ann Arbor        | Michigan | Pontiac          | Michigan |  44.7 |  33.6 | 11.1 | 0.483175  | 0.330357  | 114394 |  67561 | 2.55319e+09 |   7728573034 |
| Ann Arbor        | Michigan | Taylor           | Michigan |  29.5 |  24.2 |  5.3 | 0.348001  | 0.219008  | 114394 |  65868 | 1.65021e+09 |   7534903992 |
| Ann Arbor        | Michigan | St. Clair Shores | Michigan |  57   |  45.3 | 11.7 | 0.651424  | 0.258278  | 114394 |  63096 | 1.8642e+09  |   7217803824 |
| Ann Arbor        | Michigan | Saginaw          | Michigan |  88.7 |  80.9 |  7.8 | 1.16336   | 0.0964153 | 114394 |  61792 | 6.81525e+08 |   7068634048 |
| Livonia          | Michigan | Dearborn         | Michigan |  14.5 |  10.1 |  4.4 | 0.14524   | 0.435644  | 100545 |  97703 | 4.27957e+09 |   9823548135 |
| Livonia          | Michigan | Westland         | Michigan |   7.3 |   6   |  1.3 | 0.0862813 | 0.216667  | 100545 |  86602 | 1.8866e+09  |   8707398090 |
| Livonia          | Michigan | Farmington Hills | Michigan |   7.4 |   6.2 |  1.2 | 0.0891573 | 0.193548  | 100545 |  82111 | 1.59791e+09 |   8255850495 |
| Livonia          | Michigan | Troy             | Michigan |  37.2 |  17   | 20.2 | 0.244464  | 1.18824   | 100545 |  80957 | 9.67202e+09 |   8139821565 |
| Livonia          | Michigan | Southfield       | Michigan |  11.1 |   8   |  3.1 | 0.115042  | 0.3875    | 100545 |  78296 | 3.05051e+09 |   7872271320 |
| Livonia          | Michigan | Kalamazoo        | Michigan | 121.5 | 113.8 |  7.7 | 1.63647   | 0.0676626 | 100545 |  77145 | 5.24828e+08 |   7756544025 |
| Livonia          | Michigan | Wyoming          | Michigan | 143.4 | 123.6 | 19.8 | 1.77739   | 0.160194  | 100545 |  69385 | 1.11756e+09 |   6976314825 |
| Livonia          | Michigan | Rochester Hills  | Michigan |  42   |  24.3 | 17.7 | 0.349439  | 0.728395  | 100545 |  68853 | 5.04255e+09 |   6922824885 |
| Livonia          | Michigan | Pontiac          | Michigan |  19.6 |  17.2 |  2.4 | 0.24734   | 0.139535  | 100545 |  67561 | 9.47849e+08 |   6792920745 |
| Livonia          | Michigan | Taylor           | Michigan |  26.8 |  13.9 | 12.9 | 0.199885  | 0.928058  | 100545 |  65868 | 6.14624e+09 |   6622698060 |
| Livonia          | Michigan | St. Clair Shores | Michigan |  33.1 |  25.2 |  7.9 | 0.362381  | 0.313492  | 100545 |  63096 | 1.98879e+09 |   6343987320 |
| Livonia          | Michigan | Saginaw          | Michigan |  95.8 |  77.6 | 18.2 | 1.1159    | 0.234536  | 100545 |  61792 | 1.45714e+09 |   6212876640 |
| Dearborn         | Michigan | Westland         | Michigan |   9.7 |   8.4 |  1.3 | 0.120794  | 0.154762  |  97703 |  86602 | 1.30948e+09 |   8461275206 |
| Dearborn         | Michigan | Farmington Hills | Michigan |  19.1 |  14.1 |  5   | 0.202761  | 0.35461   |  97703 |  82111 | 2.84485e+09 |   8022491033 |
| Dearborn         | Michigan | Troy             | Michigan |  29.5 |  19.6 |  9.9 | 0.281852  | 0.505102  |  97703 |  80957 | 3.99523e+09 |   7909741771 |
| Dearborn         | Michigan | Southfield       | Michigan |  13.4 |  11.7 |  1.7 | 0.168248  | 0.145299  |  97703 |  78296 | 1.1115e+09  |   7649754088 |
| Dearborn         | Michigan | Kalamazoo        | Michigan | 132.2 | 121.7 | 10.5 | 1.75007   | 0.0862777 |  97703 |  77145 | 6.50301e+08 |   7537297935 |
| Dearborn         | Michigan | Wyoming          | Michigan | 157.6 | 133.1 | 24.5 | 1.91401   | 0.184072  |  97703 |  69385 | 1.24785e+09 |   6779122655 |
| Dearborn         | Michigan | Rochester Hills  | Michigan |  34.3 |  27.1 |  7.2 | 0.389704  | 0.265683  |  97703 |  68853 | 1.78729e+09 |   6727144659 |
| Dearborn         | Michigan | Pontiac          | Michigan |  27   |  23   |  4   | 0.330745  | 0.173913  |  97703 |  67561 | 1.14798e+09 |   6600912383 |
| Dearborn         | Michigan | Taylor           | Michigan |   9.9 |   7.4 |  2.5 | 0.106414  | 0.337838  |  97703 |  65868 | 2.17416e+09 |   6435501204 |
| Dearborn         | Michigan | St. Clair Shores | Michigan |  23.7 |  20.6 |  3.1 | 0.296232  | 0.150485  |  97703 |  63096 | 9.27693e+08 |   6164668488 |
| Dearborn         | Michigan | Saginaw          | Michigan | 110   |  86.3 | 23.7 | 1.24101   | 0.274623  |  97703 |  61792 | 1.65797e+09 |   6037263776 |
| Westland         | Michigan | Farmington Hills | Michigan |  20   |  12.2 |  7.8 | 0.175439  | 0.639344  |  86602 |  82111 | 4.54636e+09 |   7110976822 |
| Westland         | Michigan | Troy             | Michigan |  44.1 |  22.3 | 21.8 | 0.320679  | 0.977578  |  86602 |  80957 | 6.85384e+09 |   7011038114 |
| Westland         | Michigan | Southfield       | Michigan |  25.1 |  13   | 12.1 | 0.186943  | 0.930769  |  86602 |  78296 | 6.31116e+09 |   6780590192 |
| Westland         | Michigan | Kalamazoo        | Michigan | 119.7 | 113.3 |  6.4 | 1.62928   | 0.0564872 |  86602 |  77145 | 3.77386e+08 |   6680911290 |
| Westland         | Michigan | Wyoming          | Michigan | 150.3 | 125.2 | 25.1 | 1.8004    | 0.200479  |  86602 |  69385 | 1.20466e+09 |   6008879770 |
| Westland         | Michigan | Rochester Hills  | Michigan |  49   |  29.7 | 19.3 | 0.427092  | 0.649832  |  86602 |  68853 | 3.87482e+09 |   5962807506 |
| Westland         | Michigan | Pontiac          | Michigan |  32.1 |  23.2 |  8.9 | 0.333621  | 0.383621  |  86602 |  67561 | 2.24453e+09 |   5850917722 |
| Westland         | Michigan | Taylor           | Michigan |  12.5 |   8.8 |  3.7 | 0.126546  | 0.420455  |  86602 |  65868 | 2.3984e+09  |   5704300536 |
| Westland         | Michigan | St. Clair Shores | Michigan |  39.1 |  27.7 | 11.4 | 0.398332  | 0.411552  |  86602 |  63096 | 2.24882e+09 |   5464239792 |
| Westland         | Michigan | Saginaw          | Michigan | 102.7 |  83.1 | 19.6 | 1.195     | 0.23586   |  86602 |  61792 | 1.26216e+09 |   5351310784 |
| Farmington Hills | Michigan | Troy             | Michigan |  25.4 |  12.1 | 13.3 | 0.174001  | 1.09917   |  82111 |  80957 | 7.30671e+09 |   6647460227 |
| Farmington Hills | Michigan | Southfield       | Michigan |   6.4 |   5   |  1.4 | 0.0719011 | 0.28      |  82111 |  78296 | 1.80011e+09 |   6428962856 |
| Farmington Hills | Michigan | Kalamazoo        | Michigan | 129.1 | 115   | 14.1 | 1.65372   | 0.122609  |  82111 |  77145 | 7.76659e+08 |   6334453095 |
| Farmington Hills | Michigan | Wyoming          | Michigan | 139.6 | 122.7 | 16.9 | 1.76445   | 0.137734  |  82111 |  69385 | 7.8471e+08  |   5697271735 |
| Farmington Hills | Michigan | Rochester Hills  | Michigan |  30.3 |  18.8 | 11.5 | 0.270348  | 0.611702  |  82111 |  68853 | 3.45831e+09 |   5653588683 |
| Farmington Hills | Michigan | Pontiac          | Michigan |  12.5 |  11.1 |  1.4 | 0.15962   | 0.126126  |  82111 |  67561 | 6.99685e+08 |   5547501271 |
| Farmington Hills | Michigan | Taylor           | Michigan |  28.5 |  19.5 |  9   | 0.280414  | 0.461538  |  82111 |  65868 | 2.49622e+09 |   5408487348 |
| Farmington Hills | Michigan | St. Clair Shores | Michigan |  25.7 |  23.5 |  2.2 | 0.337935  | 0.093617  |  82111 |  63096 | 4.85018e+08 |   5180875656 |
| Farmington Hills | Michigan | Saginaw          | Michigan |  92   |  72.2 | 19.8 | 1.03825   | 0.274238  |  82111 |  61792 | 1.39143e+09 |   5073802912 |
| Troy             | Michigan | Southfield       | Michigan |  20.2 |   9.2 | 11   | 0.132298  | 1.19565   |  80957 |  78296 | 7.57877e+09 |   6338609272 |
| Troy             | Michigan | Kalamazoo        | Michigan | 152.3 | 125.5 | 26.8 | 1.80472   | 0.213546  |  80957 |  77145 | 1.33368e+09 |   6245427765 |
| Troy             | Michigan | Wyoming          | Michigan | 158.8 | 130.5 | 28.3 | 1.87662   | 0.216858  |  80957 |  69385 | 1.21814e+09 |   5617201445 |
| Troy             | Michigan | Rochester Hills  | Michigan |   9.7 |   7.6 |  2.1 | 0.10929   | 0.276316  |  80957 |  68853 | 1.54022e+09 |   5574132321 |
| Troy             | Michigan | Pontiac          | Michigan |  10.2 |   7.1 |  3.1 | 0.1021    | 0.43662   |  80957 |  67561 | 2.38811e+09 |   5469535877 |
| Troy             | Michigan | Taylor           | Michigan |  37.3 |  26.8 | 10.5 | 0.38539   | 0.391791  |  80957 |  65868 | 2.08922e+09 |   5332475676 |
| Troy             | Michigan | St. Clair Shores | Michigan |  22.7 |  15.3 |  7.4 | 0.220017  | 0.48366   |  80957 |  63096 | 2.47057e+09 |   5108062872 |
| Troy             | Michigan | Saginaw          | Michigan |  82.9 |  70.5 | 12.4 | 1.01381   | 0.175887  |  80957 |  61792 | 8.79871e+08 |   5002494944 |
| Southfield       | Michigan | Kalamazoo        | Michigan | 133.6 | 119.9 | 13.7 | 1.72419   | 0.114262  |  78296 |  77145 | 6.90158e+08 |   6040144920 |
| Southfield       | Michigan | Wyoming          | Michigan | 144.1 | 127.6 | 16.5 | 1.83492   | 0.12931   |  78296 |  69385 | 7.02487e+08 |   5432567960 |
| Southfield       | Michigan | Rochester Hills  | Michigan |  24.9 |  16.7 |  8.2 | 0.24015   | 0.491018  |  78296 |  68853 | 2.64704e+09 |   5390914488 |
| Southfield       | Michigan | Pontiac          | Michigan |  14.5 |  11.3 |  3.2 | 0.162496  | 0.283186  |  78296 |  67561 | 1.49798e+09 |   5289756056 |
| Southfield       | Michigan | Taylor           | Michigan |  22.9 |  18.3 |  4.6 | 0.263158  | 0.251366  |  78296 |  65868 | 1.29635e+09 |   5157200928 |
| Southfield       | Michigan | St. Clair Shores | Michigan |  20.2 |  18.6 |  1.6 | 0.267472  | 0.0860215 |  78296 |  63096 | 4.2496e+08  |   4940164416 |
| Southfield       | Michigan | Saginaw          | Michigan |  96.6 |  74.9 | 21.7 | 1.07708   | 0.28972   |  78296 |  61792 | 1.40168e+09 |   4838066432 |
| Kalamazoo        | Michigan | Wyoming          | Michigan |  47.3 |  42.4 |  4.9 | 0.609721  | 0.115566  |  77145 |  69385 | 6.18591e+08 |   5352705825 |
| Kalamazoo        | Michigan | Rochester Hills  | Michigan | 157.8 | 129.1 | 28.7 | 1.85649   | 0.222308  |  77145 |  68853 | 1.18083e+09 |   5311664685 |
| Kalamazoo        | Michigan | Pontiac          | Michigan | 140.9 | 119.9 | 21   | 1.72419   | 0.175146  |  77145 |  67561 | 9.1286e+08  |   5211993345 |
| Kalamazoo        | Michigan | Taylor           | Michigan | 127.9 | 119.2 |  8.7 | 1.71412   | 0.0729866 |  77145 |  65868 | 3.70873e+08 |   5081386860 |
| Kalamazoo        | Michigan | St. Clair Shores | Michigan | 154.1 | 138.5 | 15.6 | 1.99166   | 0.112635  |  77145 |  63096 | 5.48257e+08 |   4867540920 |
| Kalamazoo        | Michigan | Saginaw          | Michigan | 164.7 | 115.2 | 49.5 | 1.6566    | 0.429688  |  77145 |  61792 | 2.0483e+09  |   4766943840 |
| Wyoming          | Michigan | Rochester Hills  | Michigan | 158.1 | 131.8 | 26.3 | 1.89531   | 0.199545  |  69385 |  68853 | 9.53298e+08 |   4777365405 |
| Wyoming          | Michigan | Pontiac          | Michigan | 148.3 | 123.8 | 24.5 | 1.78027   | 0.1979    |  69385 |  67561 | 9.27699e+08 |   4687719985 |
| Wyoming          | Michigan | Taylor           | Michigan | 163.6 | 132.9 | 30.7 | 1.91113   | 0.231001  |  69385 |  65868 | 1.05573e+09 |   4570251180 |
| Wyoming          | Michigan | St. Clair Shores | Michigan | 163.8 | 145.4 | 18.4 | 2.09088   | 0.126547  |  69385 |  63096 | 5.54014e+08 |   4377915960 |
| Wyoming          | Michigan | Saginaw          | Michigan | 151.1 |  96.2 | 54.9 | 1.38338   | 0.570686  |  69385 |  61792 | 2.44678e+09 |   4287437920 |
| Rochester Hills  | Michigan | Pontiac          | Michigan |  12.2 |   9.5 |  2.7 | 0.136612  | 0.284211  |  68853 |  67561 | 1.32208e+09 |   4651777533 |
| Rochester Hills  | Michigan | Taylor           | Michigan |  42.8 |  34.3 |  8.5 | 0.493241  | 0.247813  |  68853 |  65868 | 1.12389e+09 |   4535209404 |
| Rochester Hills  | Michigan | St. Clair Shores | Michigan |  28.2 |  18   | 10.2 | 0.258844  | 0.566667  |  68853 |  63096 | 2.4618e+09  |   4344348888 |
| Rochester Hills  | Michigan | Saginaw          | Michigan |  79.8 |  66   | 13.8 | 0.949094  | 0.209091  |  68853 |  61792 | 8.89591e+08 |   4254564576 |
| Pontiac          | Michigan | Taylor           | Michigan |  45.1 |  29.6 | 15.5 | 0.425654  | 0.523649  |  67561 |  65868 | 2.33029e+09 |   4450107948 |
| Pontiac          | Michigan | St. Clair Shores | Michigan |  30.5 |  22.4 |  8.1 | 0.322117  | 0.361607  |  67561 |  63096 | 1.54147e+09 |   4262828856 |
| Pontiac          | Michigan | Saginaw          | Michigan |  79.2 |  64.4 | 14.8 | 0.926086  | 0.229814  |  67561 |  61792 | 9.5941e+08  |   4174729312 |
| Taylor           | Michigan | St. Clair Shores | Michigan |  31.5 |  27.3 |  4.2 | 0.39258   | 0.153846  |  65868 |  63096 | 6.39386e+08 |   4156007328 |
| Taylor           | Michigan | Saginaw          | Michigan | 118   |  91.5 | 26.5 | 1.31579   | 0.289617  |  65868 |  61792 | 1.17878e+09 |   4070115456 |
| St. Clair Shores | Michigan | Saginaw          | Michigan | 103.7 |  84   | 19.7 | 1.20794   | 0.234524  |  63096 |  61792 | 9.14368e+08 |   3898828032 |



label: I=G/F
M=J*K
L=I*J*K
labeled_formulas: I=G/F
M=J*K
L=I*J*K
output: {"Arithmetic-Relationship": ["I=G/F", "M=J*K", "L=I*J*K"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_321705___xlsx_8c96b176df9386c4f8d245de3cf71e91bb0bc52f.xlsx___line_418