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,
6,
6,
9
] |
[
"(9+1-6)×6"
] | true
| 7.38
| 0.906
| 7.87
| 3.37
| 265
|
[
4,
10,
11,
13
] |
[
"(13-11)×10+4"
] | true
| 12.95
| 0.756
| 10.92
| 5.88
| 1,066
|
[
2,
8,
9,
10
] |
[
"(10+2-9)×8",
"(9+8)×2-10"
] | true
| 8.35
| 0.887
| 8.55
| 3.86
| 619
|
[
7,
7,
11,
13
] |
[
"13+11+7-7",
"(13-7)×(11-7)"
] | true
| 5.87
| 0.977
| 6.42
| 2.37
| 1,262
|
[
4,
4,
5,
6
] |
[
"(5-4/4)×6",
"(5-4)×6×4"
] | true
| 6.3
| 0.958
| 6.62
| 2.25
| 909
|
[
2,
8,
9,
9
] |
[
"9+9+8-2",
"(9/9+2)×8"
] | true
| 5.8
| 0.964
| 6.22
| 2.13
| 618
|
[
1,
6,
8,
9
] |
[
"9+8+6+1",
"(9-6)×8×1",
"8/(1-6/9)"
] | true
| 6.14
| 0.983
| 6.57
| 2.35
| 275
|
[
3,
4,
6,
10
] |
[
"6×3+10-4",
"10×6/3+4",
"(10+4-6)×3",
"(10-4)×3+6"
] | true
| 9.76
| 0.9
| 10.19
| 4.83
| 737
|
[
2,
3,
7,
11
] |
[
"(3+2)×7-11",
"3×2+11+7",
"(11-7)×3×2",
"11×3-7-2"
] | true
| 8.98
| 0.922
| 9.33
| 4.28
| 451
|
[
2,
3,
10,
10
] |
[
"(10-3)×2+10"
] | true
| 19.95
| 0.687
| 14.88
| 7.68
| 464
|
[
4,
7,
11,
13
] |
[
"11×4-13-7"
] | true
| 61.48
| 0.377
| 31.97
| 16.68
| 1,031
|
[
2,
5,
12,
13
] |
[
"12/2+13+5",
"(13+5)×2-12"
] | true
| 31.7
| 0.582
| 22.49
| 10.09
| 560
|
[
10,
10,
10,
12
] |
[
"(10+10)×12/10"
] | true
| 23.18
| 0.597
| 11.12
| 7.61
| 1,336
|
[
3,
6,
8,
9
] |
[
"9×8/(6-3)",
"(9+3-8)×6",
"(9+3)×(8-6)",
"(6-9/3)×8"
] | true
| 8.53
| 0.937
| 8.92
| 3.19
| 816
|
[
3,
7,
9,
11
] |
[
"11+9+7-3",
"(9-3)×(11-7)"
] | true
| 11.71
| 0.884
| 11.91
| 4.89
| 847
|
[
2,
3,
4,
9
] |
[
"9×4×2/3",
"(9+3)×(4-2)",
"(9+3)×4/2"
] | true
| 11.29
| 0.884
| 11.35
| 4.87
| 425
|
[
2,
6,
10,
13
] |
[
"(6+2)×(13-10)",
"10/2+13+6",
"(13-6)×2+10"
] | true
| 12.07
| 0.848
| 11.67
| 5.62
| 588
|
[
1,
2,
3,
9
] |
[
"9×3-2-1",
"(2+1)×9-3",
"(9+3)×2×1",
"(9+1-2)×3"
] | true
| 7.56
| 0.965
| 8.14
| 3.18
| 65
|
[
2,
5,
5,
11
] |
[
"(5+2)×5-11",
"(5/5+11)×2"
] | true
| 7.92
| 0.832
| 7.85
| 3.55
| 528
|
[
3,
5,
12,
13
] |
[
"(5×3-13)×12",
"(13-3)×12/5"
] | true
| 18.8
| 0.683
| 14.78
| 6.64
| 799
|
[
6,
8,
8,
10
] |
[
"8×6/(10-8)",
"(10+8)×8/6",
"(10-6)×8-8"
] | true
| 8.37
| 0.91
| 8.83
| 4.04
| 1,221
|
[
1,
5,
10,
13
] |
[
"(13-1)×10/5"
] | true
| 9.37
| 0.888
| 9.36
| 3.49
| 259
|
[
2,
8,
10,
13
] |
[
"13×2+8-10",
"(10-8)×13-2"
] | true
| 13.91
| 0.809
| 13.04
| 6.27
| 626
|
[
2,
4,
6,
11
] |
[
"11×2+6-4",
"(6-4)×11+2",
"(11+4)×2-6",
"4/(2-11/6)"
] | true
| 11.49
| 0.853
| 11.28
| 5.59
| 497
|
[
1,
4,
5,
9
] |
[
"(4-1)×5+9",
"(9-4)×5-1"
] | true
| 13.19
| 0.822
| 12.34
| 6.76
| 192
|
[
4,
4,
9,
11
] |
[
"(11+4-9)×4"
] | true
| 9.09
| 0.822
| 8.74
| 4.7
| 934
|
[
5,
9,
12,
13
] |
[
"(13+5)×12/9",
"(13-5)×(12-9)"
] | true
| 21.09
| 0.646
| 16.08
| 7.34
| 1,169
|
[
3,
4,
7,
11
] |
[
"(11+7)×4/3",
"(11-3)×(7-4)",
"(11+4-7)×3"
] | true
| 9.49
| 0.868
| 9.31
| 4.63
| 745
|
[
1,
2,
2,
13
] |
[
"(13+1-2)×2",
"(13×2-2)×1"
] | true
| 7.2
| 0.967
| 7.73
| 3.12
| 58
|
[
1,
3,
8,
11
] |
[
"11×3-8-1"
] | true
| 20.99
| 0.735
| 17.35
| 8.43
| 163
|
[
3,
3,
5,
6
] |
[
"6×5-3-3",
"(3+3)×5-6",
"(3×3-5)×6",
"(5-3/3)×6",
"(5+3)×(6-3)",
"5×3+6+3",
"(6+5-3)×3"
] | true
| 6.77
| 0.965
| 7.38
| 2.69
| 680
|
[
1,
1,
4,
5
] |
[
"(4+1)×5-1",
"(5+1)×4×1"
] | true
| 5.4
| 0.979
| 5.79
| 2
| 23
|
[
1,
2,
9,
12
] |
[
"12+9+2+1"
] | true
| 7.85
| 0.927
| 8.43
| 3.84
| 107
|
[
2,
2,
11,
12
] |
[
"2/2+12+11"
] | true
| 6.12
| 0.925
| 6.52
| 2.55
| 405
|
[
3,
3,
3,
7
] |
[
"(3+3)×(7-3)",
"(3/3+7)×3"
] | true
| 7.09
| 0.921
| 7.53
| 3.29
| 664
|
[
2,
7,
7,
13
] |
[
"(13-7/7)×2"
] | true
| 7.28
| 0.863
| 7.38
| 3.13
| 597
|
[
3,
6,
7,
12
] |
[
"(6+3-7)×12",
"(12-6)×(7-3)"
] | true
| 8.71
| 0.902
| 8.99
| 3.88
| 813
|
[
3,
7,
13,
13
] |
[
"(13/13+7)×3"
] | true
| 6.67
| 0.875
| 6.79
| 2.79
| 857
|
[
4,
6,
10,
10
] |
[
"6×4+10-10",
"10×4-10-6",
"(10-4)×(10-6)"
] | true
| 5.99
| 0.967
| 6.38
| 2.37
| 1,004
|
[
3,
9,
10,
10
] |
[
"(9-10/10)×3"
] | true
| 7.96
| 0.849
| 7.87
| 3.54
| 881
|
[
2,
9,
10,
11
] |
[
"(10+2)×(11-9)",
"(11+10-9)×2"
] | true
| 8.63
| 0.888
| 8.57
| 3.39
| 636
|
[
3,
3,
4,
12
] |
[
"(3+3-4)×12",
"(12-3-3)×4",
"4×3×3-12",
"12×3-4×3",
"(12/3+4)×3"
] | true
| 7.81
| 0.952
| 8.45
| 3.23
| 677
|
[
1,
8,
8,
11
] |
[
"(11-8)×8×1"
] | true
| 7.14
| 0.935
| 7.64
| 3.52
| 312
|
[
4,
7,
13,
13
] |
[
"(7-13/13)×4"
] | true
| 6.96
| 0.878
| 7.25
| 3.09
| 1,034
|
[
3,
5,
7,
8
] |
[
"7×3+8-5",
"7×5-8-3",
"(8-5)×7+3"
] | true
| 13.46
| 0.855
| 13.17
| 6.08
| 777
|
[
2,
8,
8,
10
] |
[
"10+8+8-2",
"(8-10/2)×8"
] | true
| 9.27
| 0.928
| 9.51
| 3.81
| 614
|
[
5,
10,
10,
11
] |
[
"(11×10+10)/5"
] | true
| 44.17
| 0.416
| 15.46
| 7.54
| 1,170
|
[
1,
2,
5,
6
] |
[
"(5+1-2)×6",
"(5+1)×(6-2)",
"(6+5+1)×2"
] | true
| 6.74
| 0.944
| 7.24
| 2.8
| 81
|
[
3,
3,
3,
11
] |
[
"11×3-3×3"
] | true
| 12.39
| 0.786
| 11.1
| 5.61
| 668
|
[
2,
3,
12,
13
] |
[
"13+12+2-3"
] | true
| 6.86
| 0.959
| 7.36
| 2.65
| 471
|
[
1,
5,
8,
10
] |
[
"10+8+5+1",
"(10/5+1)×8"
] | true
| 6.7
| 0.965
| 7.2
| 2.57
| 247
|
[
5,
6,
9,
13
] |
[
"(13-5)×(9-6)"
] | true
| 16.49
| 0.69
| 12.61
| 6.14
| 1,121
|
[
5,
8,
12,
12
] |
[
"(8-5)×12-12"
] | true
| 7.86
| 0.753
| 7.04
| 3.77
| 1,161
|
[
5,
9,
9,
12
] |
[
"9×5-12-9",
"(9-5)×9-12",
"(12-9)×5+9"
] | true
| 15.14
| 0.76
| 13.47
| 6.87
| 1,163
|
[
2,
11,
11,
12
] |
[
"12×2+11-11"
] | true
| 5.33
| 0.974
| 5.74
| 2.01
| 651
|
[
3,
6,
8,
12
] |
[
"(12-6-3)×8",
"(8-12/3)×6"
] | true
| 15.52
| 0.802
| 14.12
| 6.22
| 818
|
[
4,
4,
8,
11
] |
[
"(4+4)×(11-8)",
"(11-4-4)×8"
] | true
| 8.56
| 0.869
| 8.57
| 3.87
| 931
|
[
3,
5,
12,
12
] |
[
"12×5-12×3",
"(12×5+12)/3"
] | true
| 14.55
| 0.68
| 9.98
| 5.98
| 798
|
[
2,
5,
7,
10
] |
[
"10+7+5+2",
"(10+2)×(7-5)",
"(10+7-5)×2"
] | true
| 8.97
| 0.921
| 9.33
| 3.78
| 542
|
[
3,
6,
7,
9
] |
[
"7×3+9-6",
"(7-9/3)×6",
"(9+6-7)×3",
"(9-6)×7+3"
] | true
| 8.01
| 0.933
| 8.5
| 3.58
| 811
|
[
2,
3,
5,
8
] |
[
"8×2+5+3",
"(5+3)×2+8",
"8/(2-5/3)"
] | true
| 21.78
| 0.735
| 18.5
| 8.02
| 433
|
[
6,
6,
12,
13
] |
[
"13+12-6/6"
] | true
| 7.24
| 0.904
| 7.7
| 3.17
| 1,202
|
[
2,
6,
7,
10
] |
[
"(6+2)×(10-7)",
"(7×2-10)×6"
] | true
| 19.24
| 0.699
| 13.62
| 7.59
| 571
|
[
4,
6,
13,
13
] |
[
"6×4+13-13",
"13+13+4-6"
] | true
| 5.26
| 0.988
| 5.67
| 1.8
| 1,011
|
[
1,
4,
4,
9
] |
[
"(9+1-4)×4",
"4×4+9-1"
] | true
| 8.1
| 0.942
| 8.59
| 3.56
| 184
|
[
5,
7,
9,
10
] |
[
"(10-7)×5+9"
] | true
| 25.19
| 0.615
| 16.65
| 9.31
| 1,138
|
[
1,
5,
9,
12
] |
[
"(5-1)×9-12",
"(9+1)×12/5"
] | true
| 24.56
| 0.627
| 14.7
| 9.06
| 254
|
[
3,
8,
8,
12
] |
[
"12×8/3-8",
"(3-8/8)×12"
] | true
| 7.27
| 0.916
| 7.74
| 3.15
| 862
|
[
4,
5,
10,
12
] |
[
"12×5×4/10",
"(4-10/5)×12"
] | true
| 10.79
| 0.868
| 10.63
| 4.5
| 976
|
[
7,
8,
8,
13
] |
[
"(13+8)×8/7"
] | true
| 88.81
| 0.298
| 27.73
| 15.99
| 1,269
|
[
5,
5,
8,
8
] |
[
"5×5-8/8"
] | true
| 8.56
| 0.848
| 8.58
| 4
| 1,083
|
[
1,
6,
11,
12
] |
[
"(11+1)×12/6"
] | true
| 8.28
| 0.889
| 8.3
| 2.96
| 286
|
[
6,
6,
7,
12
] |
[
"7×6-12-6",
"(12-7)×6-6"
] | true
| 10.54
| 0.841
| 10.26
| 4.81
| 1,186
|
[
4,
4,
5,
13
] |
[
"4×4+13-5"
] | true
| 16.19
| 0.724
| 12.52
| 7.38
| 915
|
[
6,
9,
9,
12
] |
[
"12+9+9-6"
] | true
| 12.51
| 0.868
| 12.4
| 5.83
| 1,239
|
[
6,
7,
8,
12
] |
[
"(8+6)×12/7"
] | true
| 65.75
| 0.405
| 18.06
| 13.1
| 1,208
|
[
4,
6,
8,
9
] |
[
"(9-8)×6×4",
"9×8/4+6",
"(4-8/6)×9"
] | true
| 8.02
| 0.935
| 8.51
| 3.48
| 996
|
[
2,
6,
7,
11
] |
[
"(11+7-6)×2"
] | true
| 11.29
| 0.825
| 10.81
| 5.3
| 572
|
[
1,
2,
2,
11
] |
[
"(11+2-1)×2",
"(11×2+2)×1"
] | true
| 7.03
| 0.972
| 7.57
| 2.96
| 56
|
[
3,
3,
8,
8
] |
[
"8/(3-8/3)"
] | true
| 131.38
| 0.3
| 16.49
| 11.42
| 700
|
[
1,
4,
5,
13
] |
[
"(13-5)×(4-1)"
] | true
| 10.38
| 0.88
| 10.57
| 4.63
| 196
|
[
2,
6,
9,
11
] |
[
"(11-9)×6×2",
"11+9+6-2",
"11×6/2-9",
"(11+2-9)×6"
] | true
| 7.56
| 0.958
| 8.08
| 3.18
| 583
|
[
6,
12,
12,
13
] |
[
"(13×12-12)/6"
] | true
| 65.31
| 0.376
| 15.89
| 9.01
| 1,255
|
[
2,
3,
4,
6
] |
[
"(3-2)×6×4",
"6×3+4+2",
"(4+2)×3+6",
"(6-3)×4×2",
"(6+4-2)×3",
"(4/2+6)×3",
"6×2+4×3",
"(6×2-4)×3",
"(6/2+3)×4"
] | true
| 6.63
| 0.978
| 7.04
| 2.3
| 422
|
[
2,
5,
6,
10
] |
[
"(5-2)×10-6",
"10×6×2/5",
"(10+5)×2-6",
"(10/5+2)×6"
] | true
| 9.63
| 0.884
| 9.8
| 4.63
| 535
|
[
2,
6,
9,
12
] |
[
"(6+2)×(12-9)",
"(6-2)×9-12",
"6/2+12+9",
"9×2+12-6",
"12/(2-9/6)"
] | true
| 15.05
| 0.829
| 14.06
| 6.67
| 584
|
[
1,
2,
5,
12
] |
[
"(5-2-1)×12",
"(5+1)×2+12",
"(5-1)×12/2"
] | true
| 5.72
| 0.955
| 6.15
| 2.2
| 86
|
[
1,
3,
3,
8
] |
[
"(8+1)×3-3",
"(8-1)×3+3"
] | true
| 19.73
| 0.739
| 16.08
| 7.88
| 123
|
[
7,
12,
12,
13
] |
[
"12×12/(13-7)",
"(13×12+12)/7"
] | true
| 9.38
| 0.828
| 9.14
| 4.24
| 1,292
|
[
7,
8,
8,
10
] |
[
"10×8-8×7"
] | true
| 21.4
| 0.613
| 12.87
| 8.33
| 1,266
|
[
3,
9,
11,
13
] |
[
"(9+3)×(13-11)"
] | true
| 27.84
| 0.571
| 14.52
| 8.75
| 887
|
[
1,
4,
9,
12
] |
[
"12+9+4-1",
"(9-1)×12/4",
"(9×4-12)×1"
] | true
| 7.89
| 0.961
| 8.51
| 3.35
| 218
|
[
10,
12,
13,
13
] |
[
"13+13+10-12"
] | true
| 8.02
| 0.945
| 8.53
| 3.01
| 1,348
|
[
2,
8,
9,
12
] |
[
"9×8/2-12",
"(9-8)×12×2",
"(9-12/2)×8",
"(8/12+2)×9"
] | true
| 6.7
| 0.953
| 7.13
| 2.78
| 621
|
[
3,
7,
10,
10
] |
[
"10+10+7-3",
"(10/10+7)×3"
] | true
| 6
| 0.973
| 6.41
| 2.23
| 850
|
[
2,
2,
5,
12
] |
[
"5×2+12+2",
"12/(5/2-2)"
] | true
| 11.08
| 0.844
| 10.84
| 5.23
| 380
|
[
3,
4,
6,
9
] |
[
"(9+3-6)×4",
"(9+3)×(6-4)"
] | true
| 11.89
| 0.827
| 11.27
| 5.76
| 736
|
[
1,
3,
4,
4
] |
[
"(4+4)×3×1",
"(4+3-1)×4"
] | true
| 6.96
| 0.934
| 7.31
| 3.12
| 128
|
[
2,
2,
4,
12
] |
[
"(4+2)×2+12",
"(12+2)×2-4",
"(12-2)×2+4"
] | true
| 20.54
| 0.757
| 16.22
| 9.62
| 371
|
[
1,
5,
6,
8
] |
[
"(8+1-5)×6"
] | true
| 9.12
| 0.905
| 9.26
| 3.93
| 233
|
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