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 |
|-----:|:--------------------------------------|--------:|--------:|-------:|--------:|
|    9 | AGWSR                                 |   676.2 |   45305 |  15102 |   60407 |
|   18 | Adair-Casey                           |   295.2 |   19778 |   6593 |   26371 |
|   27 | Adel DeSoto Minburn                   |  2004.3 |  134288 |  44763 |  179051 |
|   63 | Akron Westfield                       |   539.5 |   36147 |  12049 |   48196 |
|   72 | Albert City-Truesdale                 |   215.7 |   14452 |   4817 |   19269 |
|   81 | Albia                                 |  1149.9 |   77043 |  25681 |  102724 |
|   99 | Alburnett                             |   516.1 |   34579 |  11526 |   46105 |
|  108 | Alden                                 |   253.3 |   16971 |   5657 |   22628 |
|  126 | Algona                                |  1282.4 |   85921 |  28640 |  114561 |
|  135 | Allamakee                             |  1070.9 |   71750 |  23917 |   95667 |
|  153 | North Butler                          |   561.4 |   37614 |  12538 |   50152 |
|  171 | Alta-Aurelia                          |   826   |   55342 |  18447 |   73789 |
|  225 | Ames                                  |  4351.1 |  291524 |  97175 |  388699 |
|  234 | Anamosa                               |  1285.4 |   86122 |  28707 |  114829 |
|  243 | Andrew                                |   216.9 |   14532 |   4844 |   19376 |
|  261 | Ankeny                                | 12147.4 |  813876 | 271292 | 1085168 |
|  279 | Aplington-Parkersburg                 |   795.2 |   53278 |  17759 |   71037 |
|  333 | North Union                           |   401   |   26867 |   8956 |   35823 |
|  355 | Ar-We-Va                              |   278   |   18626 |   6209 |   24835 |
|  387 | Atlantic                              |  1333.3 |   89331 |  29777 |  119108 |
|  414 | Audubon                               |   502.1 |   33641 |  11214 |   44855 |
|  441 | AHSTW                                 |   755   |   50585 |  16862 |   67447 |
|  472 | Ballard                               |  1644.9 |  110208 |  36736 |  146944 |
|  513 | Baxter                                |   341.3 |   22867 |   7622 |   30489 |
|  540 | BCLUW                                 |   492.1 |   32971 |  10990 |   43961 |
|  549 | Bedford                               |   489.5 |   32797 |  10932 |   43729 |
|  576 | Belle Plaine                          |   468.1 |   31363 |  10454 |   41817 |
|  585 | Bellevue                              |   590.7 |   39577 |  13192 |   52769 |
|  594 | Belmond-Klemme                        |   766   |   51322 |  17107 |   68429 |
|  603 | Bennett                               |   202.1 |   13541 |   4514 |   18055 |
|  609 | Benton                                |  1500.9 |  100560 |  33520 |  134080 |
|  621 | Bettendorf                            |  4071.1 |  272764 |  90921 |  363685 |
|  657 | Eddyville-Blakesburg-                 |   870.9 |   58350 |  19450 |   77800 |
|  720 | Bondurant-Farrar                      |  2311.3 |  154857 |  51619 |  206476 |
|  729 | Boone                                 |  2021   |  135407 |  45136 |  180543 |
|  747 | Boyden-Hull                           |   594.3 |   39818 |  13273 |   53091 |
|  819 | West Hancock                          |   566.4 |   37949 |  12650 |   50599 |
|  846 | Brooklyn-Guernsey-Malcom              |   536.7 |   35959 |  11986 |   47945 |
|  873 | North Iowa                            |   414.6 |   27778 |   9259 |   37037 |
|  882 | Burlington                            |  3913.1 |  262178 |  87393 |  349571 |
|  914 | CAM                                   |   494.2 |   33111 |  11037 |   44148 |
|  916 | CAL                                   |   248.8 |   16670 |   5557 |   22227 |
|  918 | Calamus-Wheatland                     |   392.2 |   26277 |   8759 |   35036 |
|  936 | Camanche                              |   812.1 |   54411 |  18137 |   72548 |
|  977 | Cardinal                              |   591   |   39597 |  13199 |   52796 |
|  981 | Carlisle                              |  1952.4 |  130811 |  43604 |  174415 |
|  999 | Carroll                               |  1707.1 |  114376 |  38125 |  152501 |
| 1044 | Cedar Falls                           |  5456.4 |  365579 | 121860 |  487439 |
| 1053 | Cedar Rapids                          | 16236.8 | 1087866 | 362622 | 1450488 |
| 1062 | Center Point-Urbana                   |  1280.9 |   85820 |  28607 |  114427 |
| 1071 | Centerville                           |  1352.4 |   90611 |  30204 |  120815 |
| 1079 | Central Lee                           |   771   |   51657 |  17219 |   68876 |
| 1080 | Central                               |   425   |   28475 |   9492 |   37967 |
| 1082 | Central DeWitt                        |  1462.3 |   97974 |  32658 |  130632 |
| 1089 | Central City                          |   481   |   32227 |  10742 |   42969 |
| 1093 | Central Decatur                       |   648.2 |   43429 |  14476 |   57905 |
| 1095 | Central Lyon                          |   748.6 |   50156 |  16719 |   66875 |
| 1107 | Chariton                              |  1255   |   84085 |  28028 |  112113 |
| 1116 | Charles City                          |  1563.1 |  104728 |  34909 |  139637 |
| 1134 | Charter Oak-Ute                       |   265   |   17755 |   5918 |   23673 |
| 1152 | Cherokee                              |  1028.7 |   68923 |  22974 |   91897 |
| 1197 | Clarinda                              |   944.3 |   63268 |  21089 |   84357 |
| 1206 | Clarion-Goldfield-Dows                |   946.2 |   63395 |  21132 |   84527 |
| 1211 | Clarke                                |  1413.6 |   94711 |  31570 |  126281 |
| 1215 | Clarksville                           |   299.6 |   20073 |   6691 |   26764 |
| 1218 | Clay Central-Everly                   |   314   |   21038 |   7013 |   28051 |
| 1221 | Clear Creek Amana                     |  2624.4 |  175835 |  58612 |  234447 |
| 1233 | Clear Lake                            |  1216.5 |   81506 |  27169 |  108675 |
| 1278 | Clinton                               |  3652.7 |  244731 |  81577 |  326308 |
| 1332 | Colfax-Mingo                          |   729.8 |   48897 |  16299 |   65196 |
| 1337 | College                               |  5089.3 |  340983 | 113661 |  454644 |
| 1350 | Collins-Maxwell                       |   439.2 |   29426 |   9809 |   39235 |
| 1359 | Colo-NESCO                            |   487.2 |   32642 |  10881 |   43523 |
| 1368 | Columbus                              |   745   |   49915 |  16638 |   66553 |
| 1413 | Coon Rapids-Bayard                    |   424.9 |   28468 |   9489 |   37957 |
| 1431 | Corning                               |   408.4 |   27363 |   9121 |   36484 |
| 1476 | Council Bluffs                        |  8884.8 |  595282 | 198427 |  793709 |
| 1503 | Creston                               |  1462   |   97954 |  32651 |  130605 |
| 1576 | Dallas Center-Grimes                  |  3223.6 |  215981 |  71994 |  287975 |
| 1602 | Danville                              |   483.9 |   32421 |  10807 |   43228 |
| 1611 | Davenport                             | 14470.6 |  969530 | 323177 | 1292707 |
| 1619 | Davis County                          |  1168.6 |   78296 |  26099 |  104395 |
| 1638 | Decorah Community                     |  1547.5 |  103683 |  34561 |  138244 |
| 1675 | Delwood                               |   211.7 |   14184 |   4728 |   18912 |
| 1701 | Denison                               |  2068.6 |  138596 |  46199 |  184795 |
| 1719 | Denver                                |   846.1 |   56689 |  18896 |   75585 |
| 1737 | Des Moines Independent                | 31621.5 | 2118641 | 706214 | 2824855 |
| 1782 | Diagonal                              |   102   |    6834 |   2278 |    9112 |
| 1791 | Dike-New Hartford                     |   868.7 |   58203 |  19401 |   77604 |
| 1863 | Dubuque                               | 10309.8 |  690757 | 230252 |  921009 |
| 1908 | Dunkerton                             |   378.5 |   25360 |   8453 |   33813 |
| 1917 | Boyer Valley                          |   386.6 |   25902 |   8634 |   34536 |
| 1926 | Durant                                |   530.8 |   35564 |  11855 |   47419 |
| 1944 | Eagle Grove                           |   946.6 |   63422 |  21141 |   84563 |
| 1953 | Earlham                               |   577.1 |   38666 |  12889 |   51555 |
| 1963 | East Buchanan                         |   553.4 |   37078 |  12359 |   49437 |
| 1965 | Easton Valley                         |   563   |   37721 |  12574 |   50295 |
| 1968 | East Marshall                         |   576.3 |   38612 |  12871 |   51483 |
| 1970 | East Union                            |   505   |   33835 |  11278 |   45113 |
| 1972 | Eastern Allamakee                     |   322   |   21574 |   7191 |   28765 |
| 1975 | River Valley                          |   407.1 |   27276 |   9092 |   36368 |
| 1989 | Edgewood-Colesburg                    |   401   |   26867 |   8956 |   35823 |
| 2007 | Eldora-New Providence                 |   572.7 |   38371 |  12790 |   51161 |
| 2088 | Emmetsburg                            |   652.8 |   43738 |  14579 |   58317 |
| 2097 | English Valleys                       |   473   |   31691 |  10564 |   42255 |
| 2113 | Essex                                 |   192.3 |   12884 |   4295 |   17179 |
| 2124 | Estherville Lincoln                   |  1228.4 |   82303 |  27434 |  109737 |
| 2151 | Exira-Elk Horn-                       |   401.2 |   26880 |   8960 |   35840 |
| 2169 | Fairfield                             |  1602.7 |  107381 |  35794 |  143175 |
| 2295 | Forest City                           |  1045.9 |   70075 |  23358 |   93433 |
| 2313 | Fort Dodge                            |  3674.6 |  246198 |  82066 |  328264 |
| 2322 | Fort Madison                          |  2079.5 |  139327 |  46442 |  185769 |
| 2369 | Fremont-Mills                         |   446.1 |   29889 |   9963 |   39852 |
| 2376 | Galva-Holstein                        |   468   |   31356 |  10452 |   41808 |
| 2403 | Garner-Hayfield-Ventura               |   839   |   56213 |  18738 |   74951 |
| 2457 | George-Little Rock                    |   425   |   28475 |   9492 |   37967 |
| 2466 | Gilbert                               |  1534   |  102778 |  34259 |  137037 |
| 2493 | Gilmore City-Bradgate                 |   166   |   11122 |   3707 |   14829 |
| 2502 | Gladbrook-Reinbeck                    |   588.9 |   39456 |  13152 |   52608 |
| 2511 | Glenwood                              |  1926.9 |  129102 |  43034 |  172136 |
| 2520 | Glidden-Ralston                       |   279.2 |   18706 |   6235 |   24941 |
| 2556 | Graettinger-Terril                    |   387   |   25929 |   8643 |   34572 |
| 2673 | Nodaway Valley                        |   626.4 |   41969 |  13990 |   55959 |
| 2682 | GMG                                   |   250.4 |   16777 |   5592 |   22369 |
| 2709 | Grinnell-Newburg                      |  1571.6 |  105297 |  35099 |  140396 |
| 2718 | Griswold                              |   452.2 |   30297 |  10099 |   40396 |
| 2727 | Grundy Center                         |   659.1 |   44160 |  14720 |   58880 |
| 2754 | Guthrie Center                        |   406.1 |   27209 |   9070 |   36279 |
| 2763 | Clayton Ridge                         |   594.6 |   39838 |  13279 |   53117 |
| 2766 | H-L-V                                 |   335.7 |   22492 |   7497 |   29989 |
| 2772 | Hamburg                               |   196   |   13132 |   4377 |   17509 |
| 2781 | Hampton-Dumont                        |  1120.7 |   75087 |  25029 |  100116 |
| 2826 | Harlan                                |  1354.7 |   90765 |  30255 |  121020 |
| 2846 | Harris-Lake Park                      |   295   |   19765 |   6588 |   26353 |
| 2862 | Hartley-Melvin-Sanborn                |   612.2 |   41017 |  13672 |   54689 |
| 2977 | Highland                              |   609.1 |   40810 |  13603 |   54413 |
| 2988 | Hinton                                |   521   |   34907 |  11636 |   46543 |
| 3029 | Howard-Winneshiek                     |  1124.5 |   75342 |  25114 |  100456 |
| 3033 | Hubbard-Radcliffe                     |   419.6 |   28113 |   9371 |   37484 |
| 3042 | Hudson                                |   681.9 |   45687 |  15229 |   60916 |
| 3060 | Humboldt                              |  1242.1 |   83221 |  27740 |  110961 |
| 3105 | Independence                          |  1390.7 |   93177 |  31059 |  124236 |
| 3114 | Indianola                             |  3475.9 |  232885 |  77628 |  310513 |
| 3119 | Interstate 35                         |   812.1 |   54411 |  18137 |   72548 |
| 3141 | Iowa City                             | 14283.8 |  957015 | 319005 | 1276020 |
| 3150 | Iowa Falls                            |  1035.1 |   69352 |  23117 |   92469 |
| 3154 | Iowa Valley                           |   519.4 |   34800 |  11600 |   46400 |
| 3168 | IKM-Manning                           |   677.9 |   45419 |  15140 |   60559 |
| 3186 | Janesville Consolidated               |   442   |   29614 |   9871 |   39485 |
| 3195 | Greene County                         |  1159.6 |   77693 |  25898 |  103591 |
| 3204 | Jesup                                 |   897.8 |   60153 |  20051 |   80204 |
| 3231 | Johnston                              |  7004.2 |  469281 | 156427 |  625708 |
| 3312 | Keokuk                                |  1902.8 |  127488 |  42496 |  169984 |
| 3330 | Keota                                 |   350.4 |   23477 |   7826 |   31303 |
| 3348 | Kingsley-Pierson                      |   466.7 |   31269 |  10423 |   41692 |
| 3375 | Knoxville                             |  1752.6 |  117424 |  39141 |  156565 |
| 3420 | Lake Mills                            |   577.7 |   38706 |  12902 |   51608 |
| 3465 | Lamoni                                |   300.8 |   20154 |   6718 |   26872 |
| 3537 | Laurens-Marathon                      |   268   |   17956 |   5985 |   23941 |
| 3555 | Lawton-Bronson                        |   607.9 |   40729 |  13576 |   54305 |
| 3600 | Le Mars                               |  2232.3 |  149564 |  49855 |  199419 |
| 3609 | Lenox                                 |   453.7 |   30398 |  10133 |   40531 |
| 3645 | Lewis Central                         |  2608.5 |  174770 |  58257 |  233027 |
| 3691 | North Cedar                           |   735.3 |   49265 |  16422 |   65687 |
| 3715 | Linn-Mar                              |  7597.9 |  509059 | 169686 |  678745 |
| 3744 | Lisbon                                |   653.7 |   43798 |  14599 |   58397 |
| 3798 | Logan-Magnolia                        |   544.1 |   36455 |  12152 |   48607 |
| 3816 | Lone Tree                             |   369.7 |   24770 |   8257 |   33027 |
| 3841 | Louisa-Muscatine                      |   707   |   47369 |  15790 |   63159 |
| 3897 | LuVerne                               |   158.3 |   10606 |   3535 |   14141 |
| 3906 | Lynnville-Sully                       |   434.6 |   29118 |   9706 |   38824 |
| 3942 | Madrid                                |   675.7 |   45272 |  15091 |   60363 |
| 3978 | East Mills                            |   546.1 |   36589 |  12196 |   48785 |
| 4023 | Manson Northwest Webster              |   652   |   43684 |  14561 |   58245 |
| 4033 | Maple Valley-Anthon Oto               |   599.2 |   40146 |  13382 |   53528 |
| 4041 | Maquoketa                             |  1260.3 |   84440 |  28147 |  112587 |
| 4043 | Maquoketa Valley                      |   676.6 |   45332 |  15111 |   60443 |
| 4068 | Marcus-Meriden-Cleghorn               |   436.1 |   29219 |   9740 |   38959 |
| 4086 | Marion Independent                    |  1912.1 |  128111 |  42704 |  170815 |
| 4104 | Marshalltown                          |  5332.3 |  357264 | 119088 |  476352 |
| 4122 | Martensdale-St Marys                  |   515.3 |   34525 |  11508 |   46033 |
| 4131 | Mason City                            |  3493.9 |  234091 |  78030 |  312121 |
| 4149 | MOC-Floyd Valley                      |  1498   |  100366 |  33455 |  133821 |
| 4203 | Mediapolis                            |   823.5 |   55175 |  18392 |   73567 |
| 4212 | Melcher-Dallas                        |   328   |   21976 |   7325 |   29301 |
| 4269 | Midland                               |   511.9 |   34297 |  11432 |   45729 |
| 4271 | Mid-Prairie                           |  1275.2 |   85438 |  28479 |  113917 |
| 4356 | Missouri Valley                       |   771.7 |   51704 |  17235 |   68939 |
| 4419 | MFL MarMac                            |   793.7 |   53178 |  17726 |   70904 |
| 4437 | Montezuma                             |   472.8 |   31678 |  10559 |   42237 |
| 4446 | Monticello                            |   953.7 |   63898 |  21299 |   85197 |
| 4491 | Moravia                               |   348.8 |   23370 |   7790 |   31160 |
| 4505 | Mormon Trail                          |   223   |   14941 |   4980 |   19921 |
| 4509 | Morning Sun                           |   190   |   12730 |   4243 |   16973 |
| 4518 | Moulton-Udell                         |   206.3 |   13822 |   4607 |   18429 |
| 4527 | Mount Ayr                             |   576.4 |   38619 |  12873 |   51492 |
| 4536 | Mount Pleasant                        |  1858.4 |  124513 |  41504 |  166017 |
| 4554 | Mount Vernon                          |  1122.4 |   75201 |  25067 |  100268 |
| 4572 | Murray                                |   221.2 |   14820 |   4940 |   19760 |
| 4581 | Muscatine                             |  4690   |  314230 | 104743 |  418973 |
| 4599 | Nashua-Plainfield                     |   595.6 |   39905 |  13302 |   53207 |
| 4617 | Nevada                                |  1470.9 |   98550 |  32850 |  131400 |
| 4644 | Newell-Fonda                          |   469.2 |   31436 |  10479 |   41915 |
| 4662 | New Hampton                           |   928.1 |   62183 |  20728 |   82911 |
| 4689 | New London                            |   502.1 |   33641 |  11214 |   44855 |
| 4725 | Newton                                |  2947.9 |  197509 |  65836 |  263345 |
| 4772 | Central Springs                       |   771.1 |   51664 |  17221 |   68885 |
| 4773 | Northeast                             |   523.5 |   35075 |  11692 |   46767 |
| 4774 | North Fayette Valley                  |  1098.4 |   73593 |  24531 |   98124 |
| 4776 | North Mahaska                         |   486.8 |   32616 |  10872 |   43488 |
| 4777 | North Linn                            |   585.3 |   39215 |  13072 |   52287 |
| 4778 | North Kossuth                         |   265.8 |   17809 |   5936 |   23745 |
| 4779 | North Polk                            |  1896.9 |  127092 |  42364 |  169456 |
| 4784 | North Scott                           |  3071   |  205757 |  68586 |  274343 |
| 4785 | North Tama County                     |   435.1 |   29152 |   9717 |   38869 |
| 4788 | Northwood-Kensett                     |   503.8 |   33755 |  11252 |   45007 |
| 4797 | Norwalk                               |  3190   |  213730 |  71243 |  284973 |
| 4860 | Odebolt Arthur Battle Creek Ida Grove |   966.6 |   64762 |  21587 |   86349 |
| 4869 | Oelwein                               |  1326.5 |   88876 |  29625 |  118501 |
| 4878 | Ogden                                 |   607.8 |   40723 |  13574 |   54297 |
| 4890 | Okoboji                               |  1033   |   69211 |  23070 |   92281 |
| 4905 | Olin Consolidated                     |   218   |   14606 |   4869 |   19475 |
| 4978 | Orient-Macksburg                      |   170.1 |   11397 |   3799 |   15196 |
| 4995 | Osage                                 |   887.1 |   59436 |  19812 |   79248 |
| 5013 | Oskaloosa                             |  2245   |  150415 |  50138 |  200553 |
| 5049 | Ottumwa                               |  4784   |  320528 | 106843 |  427371 |
| 5121 | Panorama                              |   692.3 |   46384 |  15461 |   61845 |
| 5139 | Paton-Churdan                         |   204   |   13668 |   4556 |   18224 |
| 5160 | PCM                                   |  1023.6 |   68581 |  22860 |   91441 |
| 5163 | Pekin                                 |   590.3 |   39550 |  13183 |   52733 |
| 5166 | Pella                                 |  2139.2 |  143326 |  47775 |  191101 |
| 5184 | Perry                                 |  1818.4 |  121833 |  40611 |  162444 |
| 5250 | Pleasant Valley                       |  5244.2 |  351361 | 117120 |  468481 |
| 5256 | Pleasantville                         |   650   |   43550 |  14517 |   58067 |
| 5283 | Pocahontas Area                       |   660.1 |   44227 |  14742 |   58969 |
| 5310 | Postville                             |   727.8 |   48763 |  16254 |   65017 |
| 5325 | Prairie Valley                        |   575.7 |   38572 |  12857 |   51429 |
| 5463 | Red Oak                               |  1036.6 |   69452 |  23151 |   92603 |
| 5486 | Remsen-Union                          |   307.5 |   20603 |   6868 |   27471 |
| 5508 | Riceville                             |   333.6 |   22351 |   7450 |   29801 |
| 5510 | Riverside                             |   685.2 |   45908 |  15303 |   61211 |
| 5607 | Rock Valley                           |   823.8 |   55195 |  18398 |   73593 |
| 5643 | Roland-Story                          |   969   |   64923 |  21641 |   86564 |
| 5697 | Rudd-Rockford-Marble Rk               |   402   |   26934 |   8978 |   35912 |
| 5724 | Ruthven-Ayrshire                      |   224   |   15008 |   5003 |   20011 |
| 5751 | St Ansgar                             |   585.6 |   39235 |  13078 |   52313 |
| 5805 | Saydel                                |  1075.4 |   72052 |  24017 |   96069 |
| 5823 | Schaller-Crestland                    |   370   |   24790 |   8263 |   33053 |
| 5832 | Schleswig                             |   249   |   16683 |   5561 |   22244 |
| 5877 | Sergeant Bluff-Luton                  |  1385.4 |   92822 |  30941 |  123763 |
| 5895 | Seymour                               |   255.6 |   17125 |   5708 |   22833 |
| 5922 | West Fork                             |   726.7 |   48689 |  16230 |   64919 |
| 5949 | Sheldon                               |  1096   |   73432 |  24477 |   97909 |
| 5976 | Shenandoah                            |  1016.3 |   68092 |  22697 |   90789 |
| 5994 | Sibley-Ocheyedan                      |   708.7 |   47483 |  15828 |   63311 |
| 6003 | Sidney                                |   369.8 |   24777 |   8259 |   33036 |
| 6012 | Sigourney                             |   550.4 |   36877 |  12292 |   49169 |
| 6030 | Sioux Center                          |  1418.8 |   95060 |  31687 |  126747 |
| 6035 | Sioux Central                         |   463.1 |   31028 |  10343 |   41371 |
| 6039 | Sioux City                            | 14815.2 |  992618 | 330873 | 1323491 |
| 6091 | South Central Calhoun                 |   930.9 |   62370 |  20790 |   83160 |
| 6093 | Solon                                 |  1414.1 |   94745 |  31582 |  126327 |
| 6094 | Southeast Warren                      |   536.8 |   35966 |  11989 |   47955 |
| 6095 | South Hamilton                        |   620.6 |   41580 |  13860 |   55440 |
| 6096 | Southeast Webster Grand               |   524.1 |   35115 |  11705 |   46820 |
| 6097 | South Page                            |   214.1 |   14345 |   4782 |   19127 |
| 6098 | South Tama County                     |  1512.6 |  101344 |  33781 |  135125 |
| 6099 | South O'Brien                         |   584.1 |   39135 |  13045 |   52180 |
| 6100 | South Winneshiek                      |   507.1 |   33976 |  11325 |   45301 |
| 6101 | Southeast Polk                        |  6910.5 |  463004 | 154335 |  617339 |
| 6102 | Spencer                               |  1968.6 |  131896 |  43965 |  175861 |
| 6120 | Spirit Lake                           |  1162   |   77854 |  25951 |  103805 |
| 6138 | Springville                           |   404   |   27068 |   9023 |   36091 |
| 6165 | Stanton                               |   187.1 |   12536 |   4179 |   16715 |
| 6175 | Starmont                              |   609.4 |   40830 |  13610 |   54440 |
| 6219 | Storm Lake                            |  2603.6 |  174441 |  58147 |  232588 |
| 6246 | Stratford                             |   128.7 |    8623 |   2874 |   11497 |
| 6264 | West Central Valley                   |   954.7 |   63965 |  21322 |   85287 |
| 6273 | Sumner-Fredericksburg                 |   780.7 |   52307 |  17436 |   69743 |
| 6408 | Tipton                                |   873   |   58491 |  19497 |   77988 |
| 6453 | Treynor                               |   589.6 |   39503 |  13168 |   52671 |
| 6460 | Tri-Center                            |   662.9 |   44414 |  14805 |   59219 |
| 6462 | Tri-County                            |   278.6 |   18666 |   6222 |   24888 |
| 6471 | Tripoli                               |   395   |   26465 |   8822 |   35287 |
| 6509 | Turkey Valley                         |   347.7 |   23296 |   7765 |   31061 |
| 6512 | Twin Cedars                           |   309.9 |   20763 |   6921 |   27684 |
| 6516 | Twin Rivers                           |   159   |   10653 |   3551 |   14204 |
| 6534 | Underwood                             |   726.1 |   48649 |  16216 |   64865 |
| 6536 | Union                                 |   992.8 |   66518 |  22173 |   88691 |
| 6561 | United                                |   372   |   24924 |   8308 |   33232 |
| 6579 | Urbandale                             |  3368   |  225656 |  75219 |  300875 |
| 6592 | Van Buren County                      |   939.7 |   62960 |  20987 |   83947 |
| 6615 | Van Meter                             |   779.3 |   52213 |  17404 |   69617 |
| 6651 | Villisca                              |   273   |   18291 |   6097 |   24388 |
| 6660 | Vinton-Shellsburg                     |  1547.4 |  103676 |  34559 |  138235 |
| 6700 | Waco                                  |   459   |   30753 |  10251 |   41004 |
| 6741 | East Sac County                       |   786.9 |   52722 |  17574 |   70296 |
| 6759 | Wapello                               |   557.3 |   37339 |  12446 |   49785 |
| 6762 | Wapsie Valley                         |   676.8 |   45346 |  15115 |   60461 |
| 6768 | Washington                            |  1615.5 |  108239 |  36080 |  144319 |
| 6795 | Waterloo                              | 10626.6 |  711982 | 237327 |  949309 |
| 6822 | Waukee                                | 11994.7 |  803645 | 267882 | 1071527 |
| 6840 | Waverly-Shell Rock                    |  2119.1 |  141980 |  47327 |  189307 |
| 6854 | Wayne                                 |   545.2 |   36528 |  12176 |   48704 |
| 6867 | Webster City                          |  1740   |  116580 |  38860 |  155440 |
| 6921 | West Bend-Mallard                     |   307   |   20569 |   6856 |   27425 |
| 6930 | West Branch                           |   757.9 |   50779 |  16926 |   67705 |
| 6937 | West Burlington Ind                   |   445   |   29815 |   9938 |   39753 |
| 6943 | West Central                          |   262   |   17554 |   5851 |   23405 |
| 6950 | West Delaware County                  |  1399.3 |   93753 |  31251 |  125004 |
| 6957 | West Des Moines                       |  8820.1 |  590947 | 196982 |  787929 |
| 6961 | Western Dubuque                       |  3197.7 |  214246 |  71415 |  285661 |
| 6969 | West Harrison                         |   339.7 |   22760 |   7587 |   30347 |
| 6975 | West Liberty                          |  1238.5 |   82980 |  27660 |  110640 |
| 6983 | West Lyon                             |   940.6 |   63020 |  21007 |   84027 |
| 6985 | West Marshall                         |   815.3 |   54625 |  18208 |   72833 |
| 6987 | West Monona                           |   630.2 |   42223 |  14074 |   56297 |
| 6990 | West Sioux                            |   829.8 |   55597 |  18532 |   74129 |
| 6992 | Westwood                              |   532.4 |   35671 |  11890 |   47561 |
| 7002 | Whiting                               |   187.1 |   12536 |   4179 |   16715 |
| 7029 | Williamsburg                          |  1142.6 |   76554 |  25518 |  102072 |
| 7038 | Wilton                                |   843.4 |   56508 |  18836 |   75344 |
| 7047 | Winfield-Mt Union                     |   314   |   21038 |   7013 |   28051 |
| 7056 | Winterset                             |  1669.6 |  111863 |  37288 |  149151 |
| 7092 | Woodbine                              |   470.3 |   31510 |  10503 |   42013 |
| 7098 | Woodbury Central                      |   531   |   35577 |  11859 |   47436 |
| 7110 | Woodward-Granger                      |  1006.7 |   67449 |  22483 |   89932 |



label: E=F-D
labeled_formulas: E=F-D
output: {"Arithmetic-Relationship": ["E=F-D"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_45736___xlsx_bf102f9889a8d7a285be565bf418c4f3de80a673.xlsx___line_874