numbers
listlengths 4
4
| solutions
listlengths 1
11
| solvable
bool 1
class | amt
float64 4.36
212
| solved_rate
float64 0.2
1
| mean_time
float64 4.63
41.1
| std_time
float64 1.25
23
| __index_level_0__
int64 0
1.36k
|
|---|---|---|---|---|---|---|---|
[
4,
5,
7,
9
] |
[
"7×4+5-9",
"(7-4)×5+9",
"9×4-7-5",
"(9-5)×7-4"
] | true
| 10.47
| 0.87
| 10.71
| 5.18
| 959
|
[
7,
9,
10,
11
] |
[
"(10-7)×11-9",
"(11-9)×7+10"
] | true
| 12.71
| 0.774
| 11.18
| 5.49
| 1,281
|
[
1,
6,
9,
13
] |
[
"(13-9)×6×1"
] | true
| 7.97
| 0.908
| 8.36
| 4.08
| 283
|
[
3,
5,
11,
12
] |
[
"(11-5)×12/3"
] | true
| 13.15
| 0.797
| 11.72
| 5.84
| 797
|
[
1,
5,
5,
6
] |
[
"6×5-5-1",
"(5+1)×5-6"
] | true
| 7.6
| 0.951
| 8.16
| 3.15
| 225
|
[
1,
1,
4,
8
] |
[
"(8+4)×(1+1)",
"(8-1-1)×4",
"(4-1)×8×1"
] | true
| 5.03
| 0.982
| 5.4
| 1.83
| 26
|
[
2,
3,
5,
12
] |
[
"12/(3-5/2)"
] | true
| 211.5
| 0.204
| 30.77
| 22.95
| 437
|
[
9,
9,
11,
13
] |
[
"13+11+9-9"
] | true
| 5.82
| 0.969
| 6.39
| 2.41
| 1,323
|
[
1,
5,
5,
12
] |
[
"(5/5+1)×12"
] | true
| 6.22
| 0.901
| 6.42
| 2.38
| 229
|
[
1,
1,
6,
12
] |
[
"(1+1)×6+12"
] | true
| 6.95
| 0.909
| 7.51
| 3.43
| 37
|
[
3,
4,
8,
11
] |
[
"(11+3-8)×4",
"8×4+3-11",
"(11-3)×4-8",
"8/(4-11/3)"
] | true
| 10.32
| 0.869
| 10.25
| 5.02
| 749
|
[
4,
8,
9,
13
] |
[
"8/4+13+9",
"(13-9)×4+8"
] | true
| 12.37
| 0.82
| 11.39
| 6.29
| 1,045
|
[
2,
3,
11,
13
] |
[
"(13+11)×(3-2)"
] | true
| 6.6
| 0.918
| 7.06
| 2.91
| 469
|
[
5,
9,
10,
11
] |
[
"9×5-11-10"
] | true
| 49.16
| 0.426
| 29.23
| 14.1
| 1,165
|
[
10,
10,
11,
12
] |
[
"10/10+12+11"
] | true
| 6.22
| 0.935
| 6.61
| 2.36
| 1,338
|
[
3,
3,
6,
7
] |
[
"7×3+6-3",
"(6-3)×7+3",
"(7+3)×3-6"
] | true
| 10.61
| 0.886
| 10.93
| 4.75
| 687
|
[
6,
11,
11,
12
] |
[
"12/6+11+11"
] | true
| 10.16
| 0.866
| 10.02
| 4.05
| 1,251
|
[
2,
9,
11,
11
] |
[
"11×2+11-9",
"(11-9)×11+2"
] | true
| 8.95
| 0.894
| 9.29
| 4.06
| 639
|
[
7,
8,
9,
13
] |
[
"(9+7-13)×8"
] | true
| 10.33
| 0.839
| 9.99
| 4.35
| 1,272
|
[
5,
7,
9,
11
] |
[
"(7+5)×(11-9)"
] | true
| 14.62
| 0.706
| 11.21
| 5.92
| 1,139
|
[
6,
9,
9,
10
] |
[
"10×9/6+9"
] | true
| 76.54
| 0.328
| 34.74
| 19.4
| 1,237
|
[
3,
5,
13,
13
] |
[
"13+13+3-5"
] | true
| 7.36
| 0.941
| 7.83
| 3.12
| 800
|
[
1,
3,
8,
8
] |
[
"(3+1)×8-8",
"(3-1)×8+8",
"(8+1)×8/3"
] | true
| 9.06
| 0.867
| 9.24
| 4.54
| 160
|
[
4,
5,
6,
13
] |
[
"(13-5-4)×6"
] | true
| 11.9
| 0.782
| 10.49
| 5.18
| 956
|
[
3,
6,
9,
10
] |
[
"(10+3-9)×6",
"(9-3)×(10-6)",
"10×9/3-6",
"9×6-10×3",
"(6-10/3)×9"
] | true
| 8.3
| 0.925
| 8.68
| 3.65
| 821
|
[
5,
8,
10,
12
] |
[
"(10+5-12)×8"
] | true
| 12.3
| 0.842
| 11.57
| 5.31
| 1,158
|
[
3,
9,
9,
10
] |
[
"(9+9-10)×3"
] | true
| 8.94
| 0.866
| 8.92
| 3.88
| 877
|
[
4,
4,
5,
11
] |
[
"11+5+4+4",
"11×4-5×4"
] | true
| 11.59
| 0.852
| 11.38
| 4.8
| 913
|
[
1,
3,
6,
12
] |
[
"(12-6)×(3+1)",
"(6-3-1)×12",
"12×6×1/3",
"(3-1)×6+12",
"12/(1-3/6)"
] | true
| 5.92
| 0.968
| 6.33
| 2.22
| 152
|
[
6,
10,
10,
10
] |
[
"10+10+10-6"
] | true
| 6.51
| 0.959
| 6.78
| 2.28
| 1,246
|
[
2,
4,
8,
11
] |
[
"(11-8)×4×2",
"(11-4×2)×8",
"11×2+8/4",
"11×8/4+2"
] | true
| 8.3
| 0.929
| 8.6
| 3.65
| 509
|
[
5,
7,
10,
13
] |
[
"(13-5)×(10-7)"
] | true
| 23.22
| 0.616
| 16.85
| 7.67
| 1,145
|
[
1,
2,
8,
9
] |
[
"9×8/(2+1)",
"8×2+9-1",
"(9-1)×2+8"
] | true
| 8.39
| 0.935
| 8.98
| 3.48
| 103
|
[
2,
6,
10,
11
] |
[
"6/2+11+10",
"(11+6)×2-10"
] | true
| 16.5
| 0.74
| 13.78
| 7.07
| 586
|
[
6,
7,
8,
11
] |
[
"(11+7)×8/6",
"(8+7-11)×6"
] | true
| 10.8
| 0.837
| 10.54
| 5.2
| 1,207
|
[
1,
2,
2,
8
] |
[
"(2+2-1)×8",
"(2×2-1)×8"
] | true
| 6.36
| 0.935
| 6.8
| 2.7
| 53
|
[
1,
3,
6,
11
] |
[
"(11+1)×6/3",
"(11-1)×3-6"
] | true
| 10.7
| 0.882
| 10.63
| 4.33
| 151
|
[
2,
2,
10,
13
] |
[
"2/2+13+10"
] | true
| 7.17
| 0.9
| 7.38
| 3.11
| 403
|
[
1,
4,
7,
9
] |
[
"(9-1)×(7-4)"
] | true
| 12.9
| 0.819
| 12.06
| 5.16
| 207
|
[
7,
10,
10,
12
] |
[
"(12-10)×7+10"
] | true
| 12.68
| 0.778
| 11.52
| 5.48
| 1,288
|
[
5,
6,
10,
10
] |
[
"(10+10)×6/5",
"(5-10/10)×6"
] | true
| 7.91
| 0.867
| 8.17
| 3.91
| 1,122
|
[
1,
1,
2,
10
] |
[
"(10+2)×(1+1)",
"(10+1+1)×2"
] | true
| 5.7
| 0.957
| 6.01
| 1.84
| 8
|
[
4,
7,
7,
11
] |
[
"7×4+7-11",
"(11-7)×7-4"
] | true
| 9.65
| 0.874
| 9.82
| 4.73
| 1,014
|
[
4,
9,
11,
11
] |
[
"11×4-11-9"
] | true
| 46.63
| 0.445
| 26.12
| 14.27
| 1,060
|
[
2,
3,
7,
12
] |
[
"12+7+3+2",
"(7-3-2)×12",
"12/(7/2-3)",
"(7-3)×12/2"
] | true
| 7.47
| 0.948
| 7.91
| 3.06
| 452
|
[
1,
5,
9,
11
] |
[
"11+9+5-1"
] | true
| 9.14
| 0.933
| 9.63
| 3.92
| 253
|
[
3,
12,
12,
12
] |
[
"(3-12/12)×12"
] | true
| 7.95
| 0.912
| 8.29
| 3.44
| 896
|
[
6,
6,
8,
13
] |
[
"(13-8)×6-6"
] | true
| 9.29
| 0.833
| 9.01
| 4.48
| 1,192
|
[
3,
9,
9,
13
] |
[
"(9-3)×(13-9)"
] | true
| 17.18
| 0.675
| 12.58
| 6.35
| 880
|
[
7,
9,
12,
12
] |
[
"12×9-12×7"
] | true
| 15.98
| 0.642
| 9.71
| 5.73
| 1,285
|
[
2,
8,
10,
10
] |
[
"8/2+10+10",
"(10+2)×(10-8)",
"(10+10-8)×2",
"(10/10+2)×8"
] | true
| 6.01
| 0.955
| 6.36
| 2.11
| 623
|
[
2,
2,
2,
7
] |
[
"(7×2-2)×2"
] | true
| 13.48
| 0.728
| 10.26
| 6.18
| 345
|
[
5,
10,
10,
13
] |
[
"(13×10-10)/5"
] | true
| 49.77
| 0.39
| 17.43
| 8.13
| 1,172
|
[
1,
5,
12,
12
] |
[
"12×12/(5+1)"
] | true
| 11.41
| 0.807
| 10.49
| 5.02
| 262
|
[
1,
3,
6,
10
] |
[
"(10×3-6)×1"
] | true
| 14.21
| 0.82
| 12.61
| 7.01
| 150
|
[
2,
3,
13,
13
] |
[
"13×3-13-2"
] | true
| 28.08
| 0.587
| 18.45
| 9.93
| 472
|
[
2,
9,
11,
13
] |
[
"13×2+9-11",
"(11-9)×13-2"
] | true
| 12.49
| 0.82
| 11.79
| 5.68
| 640
|
[
10,
13,
13,
13
] |
[
"13/13+13+10"
] | true
| 6.2
| 0.935
| 6.69
| 2.87
| 1,349
|
[
7,
9,
10,
12
] |
[
"12+10+9-7"
] | true
| 7.39
| 0.941
| 7.95
| 3.25
| 1,282
|
[
2,
5,
8,
13
] |
[
"(13-5×2)×8",
"13+8+5-2",
"8×2+13-5",
"(13+2)×8/5",
"(13-5)×2+8"
] | true
| 9.17
| 0.931
| 9.63
| 3.94
| 550
|
[
4,
4,
8,
8
] |
[
"8+8+4+4",
"(8+4)×8/4",
"(8-4)×4+8",
"(8-8/4)×4"
] | true
| 7.6
| 0.959
| 8.21
| 3.21
| 928
|
[
2,
4,
5,
10
] |
[
"5×2+10+4"
] | true
| 23.42
| 0.677
| 17.84
| 8.52
| 488
|
[
6,
8,
10,
12
] |
[
"8×6/(12-10)",
"12+10+8-6",
"(10+6)×12/8",
"12×8/(10-6)",
"(10-8)×6+12"
] | true
| 6.77
| 0.974
| 7.35
| 2.8
| 1,230
|
[
1,
3,
6,
6
] |
[
"(6+1-3)×6",
"(6+6)×(3-1)",
"(6×3+6)×1"
] | true
| 6.5
| 0.973
| 7
| 2.62
| 146
|
[
2,
2,
10,
11
] |
[
"(11×2-10)×2"
] | true
| 98.41
| 0.308
| 26.78
| 17.49
| 402
|
[
4,
5,
6,
11
] |
[
"(11+5)×6/4"
] | true
| 64.1
| 0.381
| 20.05
| 11.42
| 954
|
[
7,
8,
11,
13
] |
[
"(13+11)×(8-7)",
"(13-8)×7-11"
] | true
| 8.04
| 0.906
| 8.61
| 3.9
| 1,277
|
[
2,
13,
13,
13
] |
[
"(13-13/13)×2"
] | true
| 6.21
| 0.909
| 6.4
| 2.38
| 659
|
[
2,
3,
9,
13
] |
[
"(13-9)×3×2",
"(13-2)×3-9",
"(13×3+9)/2"
] | true
| 10.02
| 0.877
| 10.28
| 5.32
| 463
|
[
1,
4,
4,
11
] |
[
"(11-4-1)×4"
] | true
| 10.89
| 0.865
| 10.85
| 5.36
| 186
|
[
5,
7,
11,
13
] |
[
"(7+5)×(13-11)"
] | true
| 13.48
| 0.709
| 10.38
| 5.51
| 1,147
|
[
2,
7,
10,
12
] |
[
"12×10/(7-2)",
"10/2+12+7",
"(7-10/2)×12"
] | true
| 19.58
| 0.705
| 16.12
| 7.12
| 608
|
[
1,
3,
5,
11
] |
[
"(11-5)×(3+1)",
"(11+1)×(5-3)"
] | true
| 7.78
| 0.93
| 8.12
| 2.87
| 143
|
[
3,
4,
8,
13
] |
[
"(13-4)×8/3",
"8/(13/3-4)"
] | true
| 18.99
| 0.699
| 14.33
| 8.2
| 751
|
[
4,
5,
12,
12
] |
[
"(12+12)×(5-4)",
"(5-12/4)×12",
"(12/12+5)×4"
] | true
| 5.24
| 0.971
| 5.61
| 1.78
| 981
|
[
1,
4,
6,
6
] |
[
"(4+1)×6-6",
"(4-1)×6+6"
] | true
| 13.53
| 0.802
| 12.21
| 6.51
| 197
|
[
3,
9,
10,
12
] |
[
"(9+3)×(12-10)",
"(9+3-10)×12"
] | true
| 9.19
| 0.902
| 9.4
| 3.74
| 883
|
[
1,
6,
8,
13
] |
[
"(13-8-1)×6",
"(13-1)×(8-6)"
] | true
| 7.34
| 0.945
| 7.79
| 2.87
| 279
|
[
1,
7,
7,
12
] |
[
"(7/7+1)×12"
] | true
| 6.17
| 0.89
| 6.31
| 2.35
| 293
|
[
11,
11,
12,
13
] |
[
"13+12-11/11",
"(13+11)×(12-11)"
] | true
| 6.99
| 0.952
| 7.46
| 2.53
| 1,353
|
[
2,
2,
9,
12
] |
[
"(2+2)×9-12",
"9×2×2-12",
"9×2+12/2"
] | true
| 17.89
| 0.729
| 15.37
| 6.65
| 400
|
[
1,
3,
3,
7
] |
[
"(7×3+3)×1"
] | true
| 6.55
| 0.96
| 7.38
| 3.34
| 122
|
[
1,
4,
6,
11
] |
[
"(11+1-6)×4",
"(11+1)×(6-4)"
] | true
| 7.96
| 0.926
| 8.29
| 3.24
| 202
|
[
3,
7,
7,
8
] |
[
"8×3+7-7"
] | true
| 5.16
| 0.967
| 5.53
| 1.92
| 835
|
[
1,
5,
8,
9
] |
[
"(9-5-1)×8",
"(9-1)×(8-5)",
"9/(1-5/8)"
] | true
| 6.43
| 0.943
| 6.92
| 2.73
| 246
|
[
8,
8,
8,
10
] |
[
"(10-8)×8+8"
] | true
| 6.53
| 0.902
| 6.84
| 2.94
| 1,293
|
[
7,
9,
9,
13
] |
[
"13+9+9-7"
] | true
| 10.42
| 0.878
| 10.49
| 4.67
| 1,280
|
[
5,
8,
8,
13
] |
[
"13+8+8-5"
] | true
| 8.14
| 0.925
| 8.5
| 3.7
| 1,153
|
[
2,
2,
6,
9
] |
[
"(6/2+9)×2",
"(9×2-6)×2"
] | true
| 38.12
| 0.516
| 19
| 10.81
| 384
|
[
3,
7,
11,
12
] |
[
"(11+3)×12/7",
"(12+7-11)×3",
"(11-7)×3+12"
] | true
| 7.34
| 0.907
| 7.82
| 3.51
| 854
|
[
1,
4,
9,
13
] |
[
"9×4+1-13"
] | true
| 28.97
| 0.61
| 19.64
| 10.47
| 219
|
[
2,
9,
12,
13
] |
[
"(13-9-2)×12",
"(13-9)×12/2"
] | true
| 8.64
| 0.908
| 9.03
| 3.91
| 641
|
[
1,
1,
1,
11
] |
[
"(11+1)×(1+1)"
] | true
| 5.28
| 0.974
| 5.6
| 1.67
| 1
|
[
1,
2,
11,
11
] |
[
"(11+11+2)×1"
] | true
| 5.97
| 0.975
| 6.46
| 2.42
| 112
|
[
3,
3,
7,
12
] |
[
"(3×3-7)×12",
"(12+3-7)×3",
"(7-3)×3+12"
] | true
| 10.53
| 0.844
| 10.37
| 5.39
| 698
|
[
8,
8,
10,
12
] |
[
"(12-10)×8+8"
] | true
| 11.15
| 0.789
| 10.07
| 5.8
| 1,300
|
[
4,
5,
6,
8
] |
[
"(5+4-6)×8"
] | true
| 10.64
| 0.873
| 10.56
| 4.35
| 951
|
[
6,
6,
11,
13
] |
[
"(6+6)×(13-11)",
"13+11+6-6",
"(11+6-13)×6"
] | true
| 5.81
| 0.979
| 6.31
| 2.21
| 1,200
|
[
6,
8,
9,
13
] |
[
"13+9+8-6",
"(9+8-13)×6"
] | true
| 8.83
| 0.941
| 9.46
| 3.94
| 1,228
|
[
2,
3,
6,
8
] |
[
"(8+2)×3-6",
"6×3+8-2",
"(8-2)×3+6"
] | true
| 23.66
| 0.753
| 20.53
| 8.91
| 441
|
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