input
stringlengths
3
7
output
stringlengths
3
41
step_by_step_solution
listlengths
1
21
4956504
2 2 2 3 7 163 181
[ "4956504 2 2478252", "2478252 2 1239126", "1239126 2 619563", "619563 3 206521", "206521 7 29503", "29503 163 181", "181 181 1" ]
1011462
2 3 29 5813
[ "1011462 2 505731", "505731 3 168577", "168577 29 5813", "5813 5813 1" ]
4592614
2 13 29 6091
[ "4592614 2 2296307", "2296307 13 176639", "176639 29 6091", "6091 6091 1" ]
1285973
13 31 3191
[ "1285973 13 98921", "98921 31 3191", "3191 3191 1" ]
4796063
1801 2663
[ "4796063 1801 2663", "2663 2663 1" ]
1810502
2 199 4549
[ "1810502 2 905251", "905251 199 4549", "4549 4549 1" ]
2557070
2 5 37 6911
[ "2557070 2 1278535", "1278535 5 255707", "255707 37 6911", "6911 6911 1" ]
4105689
3 7 193 1013
[ "4105689 3 1368563", "1368563 7 195509", "195509 193 1013", "1013 1013 1" ]
4824085
5 7 137831
[ "4824085 5 964817", "964817 7 137831", "137831 137831 1" ]
4618958
2 1237 1867
[ "4618958 2 2309479", "2309479 1237 1867", "1867 1867 1" ]
4446750
2 3 5 5 5 7 7 11 11
[ "4446750 2 2223375", "2223375 3 741125", "741125 5 148225", "148225 5 29645", "29645 5 5929", "5929 7 847", "847 7 121", "121 11 11", "11 11 1" ]
4536028
2 2 7 7 23143
[ "4536028 2 2268014", "2268014 2 1134007", "1134007 7 162001", "162001 7 23143", "23143 23143 1" ]
1660696
2 2 2 17 12211
[ "1660696 2 830348", "830348 2 415174", "415174 2 207587", "207587 17 12211", "12211 12211 1" ]
3540434
2 1770217
[ "3540434 2 1770217", "1770217 1770217 1" ]
4631196
2 2 3 41 9413
[ "4631196 2 2315598", "2315598 2 1157799", "1157799 3 385933", "385933 41 9413", "9413 9413 1" ]
1054387
499 2113
[ "1054387 499 2113", "2113 2113 1" ]
3779299
3779299
[ "3779299 3779299 1" ]
4493748
2 2 3 7 61 877
[ "4493748 2 2246874", "2246874 2 1123437", "1123437 3 374479", "374479 7 53497", "53497 61 877", "877 877 1" ]
3210150
2 3 5 5 21401
[ "3210150 2 1605075", "1605075 3 535025", "535025 5 107005", "107005 5 21401", "21401 21401 1" ]
715422
2 3 119237
[ "715422 2 357711", "357711 3 119237", "119237 119237 1" ]
3308052
2 2 3 11 19 1319
[ "3308052 2 1654026", "1654026 2 827013", "827013 3 275671", "275671 11 25061", "25061 19 1319", "1319 1319 1" ]
1546000
2 2 2 2 5 5 5 773
[ "1546000 2 773000", "773000 2 386500", "386500 2 193250", "193250 2 96625", "96625 5 19325", "19325 5 3865", "3865 5 773", "773 773 1" ]
395069
395069
[ "395069 395069 1" ]
3677365
5 735473
[ "3677365 5 735473", "735473 735473 1" ]
1339016
2 2 2 7 23911
[ "1339016 2 669508", "669508 2 334754", "334754 2 167377", "167377 7 23911", "23911 23911 1" ]
2218735
5 457 971
[ "2218735 5 443747", "443747 457 971", "971 971 1" ]
4643149
7 31 21397
[ "4643149 7 663307", "663307 31 21397", "21397 21397 1" ]
2483084
2 2 620771
[ "2483084 2 1241542", "1241542 2 620771", "620771 620771 1" ]
3711210
2 3 5 123707
[ "3711210 2 1855605", "1855605 3 618535", "618535 5 123707", "123707 123707 1" ]
1230562
2 17 17 2129
[ "1230562 2 615281", "615281 17 36193", "36193 17 2129", "2129 2129 1" ]
2761937
89 31033
[ "2761937 89 31033", "31033 31033 1" ]
1214105
5 43 5647
[ "1214105 5 242821", "242821 43 5647", "5647 5647 1" ]
4694506
2 2347253
[ "4694506 2 2347253", "2347253 2347253 1" ]
2313867
3 771289
[ "2313867 3 771289", "771289 771289 1" ]
4323228
2 2 3 7 13 37 107
[ "4323228 2 2161614", "2161614 2 1080807", "1080807 3 360269", "360269 7 51467", "51467 13 3959", "3959 37 107", "107 107 1" ]
4599826
2 7 7 11 17 251
[ "4599826 2 2299913", "2299913 7 328559", "328559 7 46937", "46937 11 4267", "4267 17 251", "251 251 1" ]
4422335
5 43 67 307
[ "4422335 5 884467", "884467 43 20569", "20569 67 307", "307 307 1" ]
3379010
2 5 337901
[ "3379010 2 1689505", "1689505 5 337901", "337901 337901 1" ]
4239988
2 2 61 17377
[ "4239988 2 2119994", "2119994 2 1059997", "1059997 61 17377", "17377 17377 1" ]
1621481
1621481
[ "1621481 1621481 1" ]
2740702
2 67 113 181
[ "2740702 2 1370351", "1370351 67 20453", "20453 113 181", "181 181 1" ]
2664563
11 17 14249
[ "2664563 11 242233", "242233 17 14249", "14249 14249 1" ]
4561005
3 5 304067
[ "4561005 3 1520335", "1520335 5 304067", "304067 304067 1" ]
3779382
2 3 629897
[ "3779382 2 1889691", "1889691 3 629897", "629897 629897 1" ]
1361048
2 2 2 13 23 569
[ "1361048 2 680524", "680524 2 340262", "340262 2 170131", "170131 13 13087", "13087 23 569", "569 569 1" ]
1759071
3 113 5189
[ "1759071 3 586357", "586357 113 5189", "5189 5189 1" ]
2882417
313 9209
[ "2882417 313 9209", "9209 9209 1" ]
3276223
17 191 1009
[ "3276223 17 192719", "192719 191 1009", "1009 1009 1" ]
563115
3 5 7 31 173
[ "563115 3 187705", "187705 5 37541", "37541 7 5363", "5363 31 173", "173 173 1" ]
4505475
3 5 5 13 4621
[ "4505475 3 1501825", "1501825 5 300365", "300365 5 60073", "60073 13 4621", "4621 4621 1" ]
3766622
2 17 139 797
[ "3766622 2 1883311", "1883311 17 110783", "110783 139 797", "797 797 1" ]
1529212
2 2 382303
[ "1529212 2 764606", "764606 2 382303", "382303 382303 1" ]
965924
2 2 113 2137
[ "965924 2 482962", "482962 2 241481", "241481 113 2137", "2137 2137 1" ]
1921162
2 960581
[ "1921162 2 960581", "960581 960581 1" ]
761230
2 5 76123
[ "761230 2 380615", "380615 5 76123", "76123 76123 1" ]
3908196
2 2 3 3 3 36187
[ "3908196 2 1954098", "1954098 2 977049", "977049 3 325683", "325683 3 108561", "108561 3 36187", "36187 36187 1" ]
4658348
2 2 1164587
[ "4658348 2 2329174", "2329174 2 1164587", "1164587 1164587 1" ]
2140893
3 3 237877
[ "2140893 3 713631", "713631 3 237877", "237877 237877 1" ]
126385
5 7 23 157
[ "126385 5 25277", "25277 7 3611", "3611 23 157", "157 157 1" ]
4535884
2 2 1133971
[ "4535884 2 2267942", "2267942 2 1133971", "1133971 1133971 1" ]
3694410
2 3 3 3 3 5 4561
[ "3694410 2 1847205", "1847205 3 615735", "615735 3 205245", "205245 3 68415", "68415 3 22805", "22805 5 4561", "4561 4561 1" ]
663124
2 2 7 11 2153
[ "663124 2 331562", "331562 2 165781", "165781 7 23683", "23683 11 2153", "2153 2153 1" ]
1290946
2 17 43 883
[ "1290946 2 645473", "645473 17 37969", "37969 43 883", "883 883 1" ]
4835283
3 1611761
[ "4835283 3 1611761", "1611761 1611761 1" ]
2814379
443 6353
[ "2814379 443 6353", "6353 6353 1" ]
1768648
2 2 2 7 31583
[ "1768648 2 884324", "884324 2 442162", "442162 2 221081", "221081 7 31583", "31583 31583 1" ]
4346743
937 4639
[ "4346743 937 4639", "4639 4639 1" ]
2937469
2937469
[ "2937469 2937469 1" ]
4049140
2 2 5 193 1049
[ "4049140 2 2024570", "2024570 2 1012285", "1012285 5 202457", "202457 193 1049", "1049 1049 1" ]
4217070
2 3 5 11 13 983
[ "4217070 2 2108535", "2108535 3 702845", "702845 5 140569", "140569 11 12779", "12779 13 983", "983 983 1" ]
4399283
7 179 3511
[ "4399283 7 628469", "628469 179 3511", "3511 3511 1" ]
3282879
3 1094293
[ "3282879 3 1094293", "1094293 1094293 1" ]
4606036
2 2 127 9067
[ "4606036 2 2303018", "2303018 2 1151509", "1151509 127 9067", "9067 9067 1" ]
2583158
2 1291579
[ "2583158 2 1291579", "1291579 1291579 1" ]
110184
2 2 2 3 4591
[ "110184 2 55092", "55092 2 27546", "27546 2 13773", "13773 3 4591", "4591 4591 1" ]
3777678
2 3 3 3 3 3 3 2591
[ "3777678 2 1888839", "1888839 3 629613", "629613 3 209871", "209871 3 69957", "69957 3 23319", "23319 3 7773", "7773 3 2591", "2591 2591 1" ]
853719
3 284573
[ "853719 3 284573", "284573 284573 1" ]
4759100
2 2 5 5 47591
[ "4759100 2 2379550", "2379550 2 1189775", "1189775 5 237955", "237955 5 47591", "47591 47591 1" ]
1380289
1380289
[ "1380289 1380289 1" ]
3904631
3904631
[ "3904631 3904631 1" ]
2437001
7 17 20479
[ "2437001 7 348143", "348143 17 20479", "20479 20479 1" ]
809325
3 3 3 5 5 11 109
[ "809325 3 269775", "269775 3 89925", "89925 3 29975", "29975 5 5995", "5995 5 1199", "1199 11 109", "109 109 1" ]
2921166
2 3 3 162287
[ "2921166 2 1460583", "1460583 3 486861", "486861 3 162287", "162287 162287 1" ]
1108574
2 19 29173
[ "1108574 2 554287", "554287 19 29173", "29173 29173 1" ]
524778
2 3 149 587
[ "524778 2 262389", "262389 3 87463", "87463 149 587", "587 587 1" ]
4122716
2 2 13 79283
[ "4122716 2 2061358", "2061358 2 1030679", "1030679 13 79283", "79283 79283 1" ]
3938802
2 3 7 191 491
[ "3938802 2 1969401", "1969401 3 656467", "656467 7 93781", "93781 191 491", "491 491 1" ]
655895
5 233 563
[ "655895 5 131179", "131179 233 563", "563 563 1" ]
4576017
3 19 43 1867
[ "4576017 3 1525339", "1525339 19 80281", "80281 43 1867", "1867 1867 1" ]
1437160
2 2 2 5 19 31 61
[ "1437160 2 718580", "718580 2 359290", "359290 2 179645", "179645 5 35929", "35929 19 1891", "1891 31 61", "61 61 1" ]
809432
2 2 2 13 43 181
[ "809432 2 404716", "404716 2 202358", "202358 2 101179", "101179 13 7783", "7783 43 181", "181 181 1" ]
812051
812051
[ "812051 812051 1" ]
1426765
5 67 4259
[ "1426765 5 285353", "285353 67 4259", "4259 4259 1" ]
2567573
29 29 43 71
[ "2567573 29 88537", "88537 29 3053", "3053 43 71", "71 71 1" ]
3096220
2 2 5 149 1039
[ "3096220 2 1548110", "1548110 2 774055", "774055 5 154811", "154811 149 1039", "1039 1039 1" ]
4003988
2 2 43 23279
[ "4003988 2 2001994", "2001994 2 1000997", "1000997 43 23279", "23279 23279 1" ]
3907548
2 2 3 3 3 97 373
[ "3907548 2 1953774", "1953774 2 976887", "976887 3 325629", "325629 3 108543", "108543 3 36181", "36181 97 373", "373 373 1" ]
2734890
2 3 5 91163
[ "2734890 2 1367445", "1367445 3 455815", "455815 5 91163", "91163 91163 1" ]
3485058
2 3 580843
[ "3485058 2 1742529", "1742529 3 580843", "580843 580843 1" ]
1978918
2 353 2803
[ "1978918 2 989459", "989459 353 2803", "2803 2803 1" ]