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
|
|---|---|---|---|---|---|---|---|
[
1,
8,
12,
12
] |
[
"12/(12/8-1)"
] | true
| 104.58
| 0.293
| 21.9
| 13.81
| 322
|
[
6,
9,
11,
13
] |
[
"(13-11)×9+6"
] | true
| 13.77
| 0.72
| 10.75
| 6.33
| 1,243
|
[
7,
8,
10,
10
] |
[
"(10-8)×7+10"
] | true
| 11.82
| 0.792
| 11.02
| 5.21
| 1,273
|
[
2,
3,
5,
13
] |
[
"3×2+13+5",
"13×2+3-5",
"(5-3)×13-2"
] | true
| 12.22
| 0.858
| 12.12
| 5.45
| 438
|
[
4,
4,
11,
13
] |
[
"13+11+4-4",
"(13+4-11)×4"
] | true
| 5.71
| 0.981
| 6.32
| 2.38
| 940
|
[
1,
3,
11,
11
] |
[
"11+11+3-1"
] | true
| 6.29
| 0.972
| 6.7
| 2.44
| 174
|
[
2,
4,
4,
10
] |
[
"(4-2)×10+4",
"10×4/2+4",
"4×4+10-2",
"(10+4)×2-4"
] | true
| 12.45
| 0.899
| 12.73
| 5.3
| 479
|
[
2,
6,
11,
12
] |
[
"11×2+12/6",
"12/(6-11/2)",
"12×11/6+2"
] | true
| 16.24
| 0.772
| 14.41
| 6.63
| 589
|
[
2,
2,
6,
7
] |
[
"(7+2)×2+6",
"(7+6)×2-2"
] | true
| 17.37
| 0.724
| 13.71
| 7.25
| 382
|
[
5,
5,
5,
12
] |
[
"(5+5)×12/5"
] | true
| 15.8
| 0.673
| 10.54
| 6.47
| 1,074
|
[
3,
7,
8,
11
] |
[
"7×3+11-8",
"(8-3)×7-11",
"(11-8)×7+3"
] | true
| 11.93
| 0.834
| 11.56
| 5.96
| 842
|
[
3,
4,
4,
5
] |
[
"(5+4-3)×4",
"4×4+5+3"
] | true
| 9.14
| 0.912
| 9.52
| 4.18
| 716
|
[
3,
6,
8,
10
] |
[
"(10+6-8)×3"
] | true
| 18.92
| 0.659
| 12.53
| 7.2
| 817
|
[
1,
1,
4,
12
] |
[
"12×4/(1+1)",
"(4-1-1)×12"
] | true
| 5.06
| 0.974
| 5.47
| 1.83
| 29
|
[
4,
8,
8,
13
] |
[
"(13×8-8)/4"
] | true
| 88.2
| 0.297
| 25.3
| 14.96
| 1,040
|
[
2,
2,
5,
6
] |
[
"(5-2/2)×6",
"(6+2)×(5-2)",
"(6+5)×2+2"
] | true
| 9.16
| 0.885
| 9.47
| 4.58
| 374
|
[
10,
12,
12,
12
] |
[
"12×12-12×10"
] | true
| 17.98
| 0.641
| 10.76
| 6.08
| 1,346
|
[
5,
5,
10,
10
] |
[
"5×5-10/10"
] | true
| 6.99
| 0.868
| 7.34
| 3.24
| 1,092
|
[
1,
1,
5,
6
] |
[
"(5-1)×6×1",
"(6-1)×5-1"
] | true
| 5.17
| 0.97
| 5.64
| 2.04
| 31
|
[
3,
7,
8,
13
] |
[
"(13-7-3)×8",
"13×3-8-7"
] | true
| 10.01
| 0.844
| 9.93
| 5.13
| 844
|
[
1,
4,
7,
13
] |
[
"(13-7)×4×1",
"(13+7+4)×1"
] | true
| 6.64
| 0.967
| 7.28
| 2.93
| 210
|
[
2,
3,
3,
5
] |
[
"(5+2)×3+3",
"(5×3-3)×2"
] | true
| 22.25
| 0.694
| 16.57
| 8.96
| 411
|
[
2,
2,
4,
6
] |
[
"6×4+2-2",
"(4+2)×(6-2)",
"(6+4+2)×2",
"(4-2)×6×2",
"(4/2+2)×6"
] | true
| 5.58
| 0.99
| 5.93
| 1.88
| 365
|
[
1,
5,
11,
12
] |
[
"(11-1)×12/5"
] | true
| 15.54
| 0.712
| 11.75
| 6.26
| 261
|
[
10,
11,
12,
12
] |
[
"(12+12)×(11-10)",
"(12+10)×12/11"
] | true
| 6.06
| 0.961
| 6.36
| 2.1
| 1,344
|
[
1,
4,
10,
11
] |
[
"11+10+4-1"
] | true
| 7.76
| 0.95
| 8.24
| 3.22
| 221
|
[
4,
9,
10,
11
] |
[
"(11-9)×10+4"
] | true
| 12.76
| 0.767
| 10.96
| 5.86
| 1,057
|
[
3,
3,
4,
7
] |
[
"(7-3/3)×4",
"(7+4-3)×3"
] | true
| 7.88
| 0.903
| 8.39
| 3.65
| 673
|
[
1,
6,
8,
11
] |
[
"11+8+6-1",
"(11+1-8)×6",
"(11+1)×(8-6)"
] | true
| 6.86
| 0.978
| 7.32
| 2.45
| 277
|
[
1,
2,
4,
4
] |
[
"(4+4)×(2+1)",
"(4+2)×4×1",
"(4-1)×4×2"
] | true
| 6
| 0.971
| 6.36
| 2.12
| 70
|
[
2,
3,
4,
13
] |
[
"4×2+13+3",
"(13+3-4)×2",
"(13-3)×2+4"
] | true
| 9
| 0.912
| 9.39
| 4.01
| 429
|
[
2,
2,
2,
13
] |
[
"(13-2/2)×2",
"(13-2)×2+2"
] | true
| 6.84
| 0.935
| 7.23
| 2.8
| 351
|
[
5,
5,
6,
8
] |
[
"8+6+5+5"
] | true
| 16.86
| 0.786
| 15.19
| 6.67
| 1,077
|
[
6,
6,
8,
8
] |
[
"8×6/(8-6)"
] | true
| 10.07
| 0.861
| 9.87
| 4.49
| 1,187
|
[
11,
12,
12,
12
] |
[
"12/12+12+11",
"(12+12)×(12-11)"
] | true
| 5.44
| 0.979
| 5.77
| 1.88
| 1,354
|
[
1,
10,
11,
12
] |
[
"(11+1-10)×12",
"(11+1)×(12-10)"
] | true
| 6.74
| 0.949
| 7.15
| 2.56
| 331
|
[
3,
5,
6,
11
] |
[
"(5×3-11)×6",
"6×3+11-5",
"(11-5)×3+6"
] | true
| 13.09
| 0.825
| 12.41
| 6.81
| 774
|
[
1,
7,
9,
13
] |
[
"(7-1)×(13-9)",
"(13-1)×(9-7)"
] | true
| 7.35
| 0.939
| 7.63
| 2.61
| 303
|
[
2,
5,
10,
10
] |
[
"(10+2)×10/5",
"(10/5+10)×2"
] | true
| 10.8
| 0.787
| 9.94
| 4.23
| 554
|
[
3,
3,
3,
8
] |
[
"8×3+3-3"
] | true
| 5.07
| 0.982
| 5.46
| 1.82
| 665
|
[
12,
13,
13,
13
] |
[
"13+12-13/13",
"(13+13)×12/13"
] | true
| 6.49
| 0.947
| 6.86
| 2.44
| 1,361
|
[
4,
4,
4,
4
] |
[
"4×4+4+4"
] | true
| 6.64
| 0.979
| 7.21
| 2.97
| 899
|
[
1,
4,
6,
7
] |
[
"(7+1-4)×6",
"4/(7/6-1)"
] | true
| 8.83
| 0.872
| 9.07
| 4.68
| 198
|
[
1,
1,
13,
13
] |
[
"13+13-1-1"
] | true
| 5.14
| 0.994
| 5.46
| 1.64
| 48
|
[
2,
2,
5,
9
] |
[
"(9+5-2)×2"
] | true
| 14.53
| 0.739
| 12.14
| 6.46
| 377
|
[
1,
2,
11,
12
] |
[
"12+11+2-1",
"2/(1-11/12)"
] | true
| 7.08
| 0.969
| 7.75
| 3.19
| 113
|
[
1,
3,
7,
8
] |
[
"(7-3-1)×8",
"3/(1-7/8)"
] | true
| 7.4
| 0.894
| 7.65
| 3.61
| 155
|
[
5,
10,
12,
13
] |
[
"(10+5-13)×12"
] | true
| 10.91
| 0.834
| 10.46
| 4.53
| 1,174
|
[
3,
9,
9,
12
] |
[
"9×3+9-12",
"9/3+12+9",
"(3-9/9)×12",
"(12-9)×9-3"
] | true
| 6.57
| 0.952
| 7.02
| 2.65
| 879
|
[
3,
6,
6,
8
] |
[
"8×3+6-6",
"(8-3)×6-6"
] | true
| 5.95
| 0.971
| 6.37
| 2.25
| 803
|
[
1,
6,
7,
9
] |
[
"(7+1)×(9-6)"
] | true
| 11.67
| 0.844
| 11.36
| 4.68
| 270
|
[
5,
6,
8,
13
] |
[
"(13+5)×8/6"
] | true
| 70.59
| 0.361
| 23.49
| 12.21
| 1,116
|
[
9,
9,
10,
13
] |
[
"9/9+13+10"
] | true
| 6.73
| 0.91
| 6.94
| 2.73
| 1,321
|
[
8,
8,
12,
12
] |
[
"12+12+8-8",
"12×8/(12-8)"
] | true
| 5.38
| 0.987
| 5.82
| 1.96
| 1,304
|
[
11,
11,
11,
13
] |
[
"13+11+11-11"
] | true
| 5.56
| 0.984
| 6.11
| 2.26
| 1,351
|
[
1,
5,
7,
13
] |
[
"13+7+5-1",
"(13-7)×(5-1)",
"(13-1)×(7-5)"
] | true
| 6.2
| 0.979
| 6.59
| 2.12
| 244
|
[
6,
9,
10,
12
] |
[
"(10-6)×9-12",
"(12-9)×10-6",
"(12-10)×9+6"
] | true
| 13.09
| 0.802
| 11.83
| 6.18
| 1,241
|
[
4,
9,
11,
12
] |
[
"(9+4-11)×12",
"12×11/4-9",
"12×4/(11-9)"
] | true
| 10.25
| 0.887
| 10.39
| 4.31
| 1,061
|
[
4,
7,
8,
11
] |
[
"(11-7)×4+8"
] | true
| 17.22
| 0.68
| 11.36
| 7
| 1,018
|
[
8,
10,
12,
13
] |
[
"12×10/(13-8)"
] | true
| 18.99
| 0.675
| 14.75
| 6.55
| 1,317
|
[
3,
7,
10,
13
] |
[
"7×3+13-10",
"10×3+7-13",
"(13-10)×7+3"
] | true
| 9.03
| 0.883
| 9.54
| 4.81
| 852
|
[
2,
2,
2,
5
] |
[
"(5×2+2)×2"
] | true
| 10.29
| 0.787
| 9.3
| 4.85
| 344
|
[
3,
3,
5,
5
] |
[
"5×5-3/3"
] | true
| 7.6
| 0.895
| 7.87
| 3.24
| 679
|
[
5,
5,
6,
6
] |
[
"(5+5-6)×6",
"5×5-6/6",
"(6-6/5)×5"
] | true
| 7.14
| 0.931
| 7.63
| 2.91
| 1,075
|
[
5,
5,
10,
11
] |
[
"5×5+10-11"
] | true
| 7.66
| 0.873
| 8
| 3.72
| 1,093
|
[
2,
8,
8,
11
] |
[
"(8/8+11)×2"
] | true
| 8.54
| 0.84
| 8.24
| 3.61
| 615
|
[
2,
6,
8,
11
] |
[
"(6+2)×(11-8)",
"(11-6-2)×8",
"11×2+8-6",
"(8-6)×11+2"
] | true
| 7.81
| 0.935
| 8.29
| 3.46
| 578
|
[
3,
4,
11,
12
] |
[
"12+11+4-3",
"(11-3)×12/4",
"(11-12/4)×3"
] | true
| 7.12
| 0.953
| 7.79
| 3.41
| 759
|
[
2,
6,
7,
12
] |
[
"(7-6)×12×2"
] | true
| 7.1
| 0.923
| 7.33
| 3.01
| 573
|
[
1,
5,
7,
12
] |
[
"(7-5)×12×1",
"7×5+1-12",
"(12+7+5)×1",
"(12-7)×5-1"
] | true
| 5.35
| 0.983
| 5.89
| 2.1
| 243
|
[
4,
5,
5,
9
] |
[
"5×4+9-5",
"(9-5)×5+4"
] | true
| 9.04
| 0.915
| 9.42
| 3.93
| 947
|
[
2,
9,
10,
13
] |
[
"10×2+13-9",
"(13+9-10)×2"
] | true
| 8.87
| 0.901
| 9.36
| 4.17
| 638
|
[
3,
4,
6,
12
] |
[
"12×4×3/6",
"(12+6)×4/3",
"(6+3)×4-12",
"(6×3-12)×4",
"(12-4)×(6-3)",
"(6-3)×4+12",
"(4-6/3)×12"
] | true
| 9.4
| 0.934
| 9.92
| 4
| 739
|
[
7,
10,
12,
13
] |
[
"(13+7)×12/10"
] | true
| 67.34
| 0.376
| 22.94
| 13.2
| 1,291
|
[
2,
2,
8,
8
] |
[
"(2+2)×8-8",
"8×2×2-8",
"(8-2)×8/2",
"(8/2+8)×2"
] | true
| 10.62
| 0.913
| 10.93
| 4.78
| 394
|
[
6,
10,
10,
13
] |
[
"(13-10)×10-6"
] | true
| 15.32
| 0.689
| 11.43
| 6.41
| 1,247
|
[
1,
2,
2,
9
] |
[
"(9+2+1)×2"
] | true
| 10.95
| 0.824
| 10.15
| 4.57
| 54
|
[
5,
5,
13,
13
] |
[
"5×5-13/13"
] | true
| 7.22
| 0.854
| 7.42
| 3.23
| 1,100
|
[
6,
6,
6,
9
] |
[
"6×6×6/9",
"(9-6)×6+6"
] | true
| 7.64
| 0.899
| 8.15
| 3.98
| 1,179
|
[
1,
2,
10,
11
] |
[
"11+10+2+1"
] | true
| 6.35
| 0.976
| 6.71
| 2.4
| 109
|
[
2,
5,
6,
9
] |
[
"6×5/2+9"
] | true
| 54.49
| 0.446
| 28.34
| 14.23
| 534
|
[
6,
7,
11,
11
] |
[
"(11-6)×7-11"
] | true
| 35.8
| 0.47
| 20.51
| 10.45
| 1,214
|
[
9,
10,
11,
13
] |
[
"(13+11)×(10-9)",
"(13-10)×11-9"
] | true
| 8.97
| 0.898
| 9.28
| 3.92
| 1,328
|
[
3,
3,
11,
12
] |
[
"(11-3×3)×12",
"3/3+12+11",
"11×3+3-12"
] | true
| 5.69
| 0.948
| 6.13
| 2.23
| 711
|
[
3,
5,
8,
11
] |
[
"(5+3)×(11-8)",
"(11-5-3)×8",
"(11-3)×(8-5)",
"(11+5-8)×3"
] | true
| 7.96
| 0.894
| 8.22
| 3.51
| 785
|
[
2,
6,
9,
9
] |
[
"(9+9-6)×2",
"(6/9+2)×9"
] | true
| 29.42
| 0.575
| 15.56
| 9.18
| 581
|
[
8,
9,
9,
12
] |
[
"9×8/(12-9)"
] | true
| 11.79
| 0.826
| 11.1
| 4.78
| 1,306
|
[
5,
10,
10,
12
] |
[
"12×10/(10-5)",
"10/5+12+10"
] | true
| 9.25
| 0.87
| 9.19
| 3.62
| 1,171
|
[
4,
6,
8,
13
] |
[
"(13-6-4)×8"
] | true
| 12.14
| 0.804
| 11.21
| 5.26
| 999
|
[
2,
3,
7,
7
] |
[
"7×2+7+3"
] | true
| 17.36
| 0.769
| 15.58
| 6.71
| 447
|
[
1,
3,
9,
13
] |
[
"13+9+3-1"
] | true
| 8.79
| 0.939
| 9.42
| 4.17
| 170
|
[
4,
4,
7,
8
] |
[
"7×4+4-8",
"(8-4)×7-4"
] | true
| 12.93
| 0.839
| 12.63
| 5.75
| 923
|
[
3,
5,
7,
9
] |
[
"9+7+5+3",
"9×5-7×3",
"(5-7/3)×9",
"(9+3)×(7-5)"
] | true
| 11.95
| 0.86
| 11.7
| 4.99
| 778
|
[
1,
4,
7,
12
] |
[
"12+7+4+1",
"(7-4-1)×12",
"(7+1)×12/4",
"(12+1-7)×4"
] | true
| 5.59
| 0.984
| 6.01
| 2.04
| 209
|
[
2,
4,
4,
13
] |
[
"(13-4/4)×2",
"(13×4-4)/2"
] | true
| 7.75
| 0.856
| 7.86
| 3.55
| 482
|
[
1,
3,
5,
8
] |
[
"(5+1-3)×8",
"5×3+8+1",
"(8-3)×5-1"
] | true
| 6.59
| 0.953
| 7.28
| 2.99
| 140
|
[
11,
11,
11,
12
] |
[
"(11+11)×12/11",
"11/11+12+11"
] | true
| 5.33
| 0.95
| 5.62
| 1.98
| 1,350
|
[
3,
3,
9,
11
] |
[
"(11-3)×9/3",
"(11-9/3)×3"
] | true
| 14.3
| 0.796
| 13.31
| 5.83
| 707
|
[
1,
4,
6,
8
] |
[
"(6+1-4)×8",
"(8-4)×6×1",
"8/(1-4/6)"
] | true
| 6.3
| 0.949
| 6.68
| 2.56
| 199
|
[
2,
2,
2,
8
] |
[
"(8-2)×(2+2)",
"(8+2+2)×2",
"(8-2)×2×2",
"(2×2+8)×2",
"(2/2+2)×8"
] | true
| 6.29
| 0.964
| 6.86
| 2.72
| 346
|
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