numbers
stringlengths
12
16
solutions
stringlengths
11
136
solvable
bool
1 class
amt
float64
4.57
191
solved_rate
float64
0.22
1
mean_time
float64
4.81
34.8
std_time
float64
1.47
19.7
[3, 4, 5, 5]
['5×5+3-4', '5×3+5+4']
true
8.09
0.94
8.78
3.79
[6, 6, 6, 12]
['(6+6)×12/6', '(6-12/6)×6']
true
9.32
0.892
9.49
4.57
[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
[1, 3, 6, 13]
['(13+1-6)×3', '(13-1)×6/3']
true
8.22
0.921
8.49
3.18
[1, 4, 7, 9]
['(9-1)×(7-4)']
true
12.9
0.819
12.06
5.16
[3, 6, 11, 12]
['(11-6-3)×12', '(12+3-11)×6']
true
7.4
0.933
7.82
3.18
[11, 11, 12, 12]
['12+12+11-11']
true
5.15
0.988
5.54
1.87
[10, 11, 12, 12]
['(12+12)×(11-10)', '(12+10)×12/11']
true
6.06
0.961
6.36
2.1
[4, 7, 11, 11]
['(7-11/11)×4']
true
7.41
0.864
7.6
3.55
[3, 5, 9, 12]
['(5+3)×(12-9)', '(5-9/3)×12', '(12+5-9)×3', '(9-5)×3+12']
true
9.09
0.9
9.37
4.08
[1, 4, 8, 11]
['11+8+4+1', '(11+1)×8/4']
true
7.89
0.957
8.34
2.9
[10, 12, 13, 13]
['13+13+10-12']
true
8.02
0.945
8.53
3.01
[2, 3, 3, 3]
['(3+3+2)×3', '(3×3+3)×2']
true
13.24
0.822
12.17
6.04
[9, 10, 10, 13]
['13+10+10-9']
true
7.61
0.953
8.04
3.09
[3, 6, 6, 12]
['6×3+12-6', '12×6/(6-3)', '6×6/3+12', '12×3-6-6', '(6+6)×3-12', '(3-6/6)×12', '(12-6)×3+6', '(12/6+6)×3']
true
7.09
0.956
7.77
2.97
[2, 6, 8, 13]
['6/2+13+8', '13×2+6-8', '(8-6)×13-2']
true
11.21
0.866
11.1
5.13
[4, 5, 6, 9]
['9+6+5+4']
true
18.8
0.757
16.88
7.22
[4, 4, 4, 9]
['(9-4)×4+4']
true
8.61
0.881
8.62
4.06
[4, 10, 11, 12]
['12/4+11+10']
true
25.19
0.631
17.86
9.14
[4, 5, 7, 7]
['7×5-7-4', '(7/7+5)×4']
true
6.93
0.911
7.53
3.6
[4, 8, 12, 13]
['(12+4-13)×8', '12/4+13+8']
true
7.67
0.919
8.32
3.73
[9, 9, 12, 12]
['12+12+9-9']
true
5.38
0.984
5.88
2.12
[1, 1, 4, 4]
['(4+1+1)×4']
true
6.11
0.946
6.4
2.45
[1, 3, 8, 9]
['9×8×1/3', '3/(9/8-1)']
true
6.44
0.922
7.03
3.37
[3, 3, 4, 11]
['3×3+11+4', '(11-4)×3+3']
true
11.13
0.885
11.18
5.5
[1, 2, 2, 9]
['(9+2+1)×2']
true
10.95
0.824
10.15
4.57
[2, 5, 10, 10]
['(10+2)×10/5', '(10/5+10)×2']
true
10.8
0.787
9.94
4.23
[10, 11, 11, 12]
['12+11+11-10']
true
7.45
0.968
7.93
2.82
[3, 3, 7, 13]
['(7×3-13)×3']
true
94.36
0.273
33.82
19.64
[1, 3, 6, 8]
['(8-3-1)×6', '8×6/(3-1)', '(6-3)×8×1', '(6/3+1)×8']
true
6.01
0.958
6.45
2.55
[6, 8, 11, 12]
['12×6/(11-8)']
true
14.04
0.778
12.57
5.81
[4, 6, 12, 12]
['(12-6-4)×12', '6×4+12-12', '12×6-12×4', '(4-12/6)×12']
true
6.64
0.97
7.12
2.47
[1, 2, 8, 8]
['(8×2+8)×1', '(8/2-1)×8']
true
6.45
0.962
7.02
2.73
[2, 7, 8, 9]
['(9+7)×2-8']
true
76.32
0.387
19.6
12.12
[1, 4, 7, 13]
['(13-7)×4×1', '(13+7+4)×1']
true
6.64
0.967
7.28
2.93
[1, 2, 7, 10]
['(7×2+10)×1']
true
7.44
0.907
8.05
4.11
[3, 8, 8, 8]
['8×3+8-8', '(8×8+8)/3']
true
5.76
0.976
6.13
2.15
[3, 5, 10, 10]
['(10-10/5)×3']
true
27.46
0.54
13.48
7.51
[1, 3, 3, 10]
['(10+1-3)×3', '(10-1)×3-3']
true
9.05
0.901
9.22
4.14
[4, 8, 8, 11]
['(11×8+8)/4']
true
94.44
0.298
24.47
14.91
[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
[1, 4, 8, 12]
['12×8×1/4', '(8+1)×4-12', '(12+8+4)×1', '12/(1-4/8)']
true
5.92
0.976
6.31
2.2
[2, 8, 12, 13]
['(13+2-12)×8']
true
7.68
0.898
7.95
3.55
[5, 9, 10, 11]
['9×5-11-10']
true
49.16
0.426
29.23
14.1
[3, 3, 4, 13]
['(13-4)×3-3']
true
15.11
0.765
12.74
7.08
[3, 7, 12, 13]
['(13-7)×12/3', '12/3+13+7', '(13+7-12)×3']
true
7.19
0.939
7.68
3.11
[8, 9, 9, 12]
['9×8/(12-9)']
true
11.79
0.826
11.1
4.78
[9, 12, 12, 12]
['(12-9)×12-12']
true
7.35
0.816
7.21
3.72
[2, 2, 6, 11]
['(11-2)×2+6']
true
26.25
0.622
19.02
8.98
[1, 1, 2, 13]
['13×2-1-1', '(1+1)×13-2', '(13-1)×2×1']
true
5.19
0.988
5.51
1.79
[5, 8, 12, 12]
['(8-5)×12-12']
true
7.86
0.753
7.04
3.77
[1, 5, 6, 9]
['(9-5)×6×1']
true
7.22
0.922
7.71
3.55
[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
[1, 4, 6, 7]
['(7+1-4)×6', '4/(7/6-1)']
true
8.83
0.872
9.07
4.68
[3, 9, 10, 11]
['9/3+11+10', '(10+9-11)×3']
true
7.29
0.93
7.68
2.95
[2, 4, 10, 11]
['11×4-10×2', '(11-10/2)×4', '(11-4)×2+10']
true
15.73
0.796
14.41
6.58
[10, 10, 11, 12]
['10/10+12+11']
true
6.22
0.935
6.61
2.36
[3, 6, 6, 13]
['(13-6-3)×6', '(13×6-6)/3']
true
15.47
0.727
12.46
6.72
[1, 4, 10, 12]
['12×10/(4+1)', '(10-1)×4-12', '4/(1-10/12)']
true
17.15
0.721
13.15
6.88
[5, 5, 5, 9]
['9+5+5+5']
true
10.32
0.875
10.07
4.21
[5, 6, 10, 13]
['13+10+6-5']
true
8.63
0.912
9.35
4.41
[2, 2, 7, 10]
['(10/2+7)×2']
true
32.81
0.532
17.19
9.45
[2, 2, 3, 3]
['(3+3)×(2+2)', '(3+3)×2×2', '(3×2+2)×3']
true
8.01
0.934
8.35
3.24
[5, 6, 12, 13]
['(13-6-5)×12', '13+12+5-6', '(12+5-13)×6']
true
6.1
0.975
6.51
2.17
[6, 10, 12, 12]
['12/6+12+10', '(12-10)×6+12']
true
10.08
0.887
10.37
4.61
[2, 4, 6, 7]
['(6+2)×(7-4)', '7×4+2-6', '(6-2)×7-4', '7×2+6+4', '6/(2-7/4)']
true
10.58
0.899
10.66
4.37
[2, 7, 8, 8]
['(8+2-7)×8', '(7-8/2)×8', '(8×7-8)/2']
true
7.78
0.926
8.16
3.19
[4, 4, 5, 6]
['(5-4/4)×6', '(5-4)×6×4']
true
6.3
0.958
6.62
2.25
[3, 4, 8, 10]
['(10-4-3)×8', '(10-8)×4×3', '(10+8)×4/3', '(10-8/4)×3']
true
7.4
0.935
7.76
3.21
[3, 3, 10, 13]
['3/3+13+10']
true
7.65
0.893
7.92
3.61
[12, 13, 13, 13]
['13+12-13/13', '(13+13)×12/13']
true
6.49
0.947
6.86
2.44
[3, 3, 5, 13]
['13+5+3+3', '13×3-5×3']
true
11.86
0.852
11.62
4.87
[7, 9, 10, 12]
['12+10+9-7']
true
7.39
0.941
7.95
3.25
[2, 3, 8, 12]
['(12-8)×3×2', '(8-3×2)×12', '8×3/2+12', '(8-2)×12/3', '(12-8/2)×3', '(12/2-3)×8', '(8×3-12)×2', '(12/3+8)×2']
true
9.41
0.932
9.93
3.89
[3, 3, 3, 12]
['(3+3)×12/3', '3×3+12+3', '(3-3/3)×12', '(12-3)×3-3']
true
6.17
0.97
6.66
2.46
[2, 3, 4, 11]
['(11-3-2)×4', '(11+4-3)×2', '(11+3)×2-4']
true
9.35
0.88
9.49
4.23
[10, 10, 12, 13]
['13+12-10/10']
true
7.21
0.923
7.49
2.61
[2, 3, 4, 5]
['(5+3-2)×4', '(5+4+3)×2']
true
11.5
0.844
11.11
5.56
[2, 3, 4, 12]
['(3×2-4)×12', '(12-3×2)×4', '(12+4)×3/2', '(4+2)×12/3', '(4-3)×12×2', '(12/3+2)×4']
true
7.6
0.944
8.1
3.28
[2, 4, 10, 10]
['(4/10+2)×10']
true
116.36
0.26
30.52
19.71
[1, 4, 5, 7]
['7×4+1-5', '(5-1)×7-4']
true
12.8
0.879
12.72
5.32
[1, 7, 9, 13]
['(7-1)×(13-9)', '(13-1)×(9-7)']
true
7.35
0.939
7.63
2.61
[5, 5, 8, 12]
['(5+5-8)×12']
true
12.1
0.794
11.1
5.12
[2, 4, 9, 12]
['(12-9)×4×2', '(9×2-12)×4', '12/(9/2-4)', '(9×4+12)/2', '(12/4+9)×2']
true
11.52
0.873
11.48
4.9
[1, 1, 4, 7]
['(7-1)×4×1', '(7+1)×(4-1)']
true
5.59
0.972
5.94
2.07
[1, 4, 7, 8]
['8×4-7-1', '(7+1)×4-8', '(7-1)×(8-4)', '(7-4)×8×1']
true
6.25
0.966
6.78
2.73
[1, 3, 5, 7]
['(7+5)×(3-1)', '(5+1)×(7-3)']
true
9.32
0.895
9.53
4.12
[4, 5, 9, 13]
['5×4+13-9', '(13-9)×5+4']
true
9.01
0.893
9.68
4.99
[1, 6, 8, 12]
['(12-8)×6×1', '(8-6)×12×1', '(12/6+1)×8']
true
5.4
0.971
5.79
2
[1, 1, 1, 12]
['(1+1)×12×1']
true
4.82
0.993
5.15
1.6
[1, 8, 8, 10]
['(10+1-8)×8']
true
7.11
0.923
7.5
3.03
[4, 7, 9, 12]
['(7+4-9)×12', '12+9+7-4', '12×4/(9-7)']
true
8.23
0.947
8.7
3.31
[4, 5, 8, 10]
['(8+4)×10/5', '(4-8/5)×10', '(8-10/5)×4', '(8/10+4)×5']
true
14.33
0.756
11.89
6.13
[2, 4, 6, 12]
['12+6+4+2', '(4+2)×6-12', '(4×2-6)×12', '(12-4×2)×6', '(4-2)×6+12', '6×4/2+12', '(6+2)×12/4', '(12-4)×6/2', '(6×4-12)×2', '12/(2-6/4)']
true
10.44
0.944
11.21
4.84
[5, 8, 8, 8]
['8×5-8-8', '8×8-8×5']
true
11.38
0.809
10.9
5.46
[2, 5, 7, 13]
['13×2+5-7', '7×5+2-13', '(7×5+13)/2', '(7-5)×13-2']
true
12.31
0.84
12.05
5.81
[1, 3, 9, 12]
['(3+1)×9-12', '(12-1)×3-9', '(12+9+3)×1', '(9/3-1)×12']
true
6.14
0.965
6.57
2.41
[2, 4, 11, 12]
['(11-2)×4-12']
true
66.98
0.399
25.01
14.65
[3, 9, 12, 13]
['(12+9-13)×3', '(13-9)×3+12']
true
8.15
0.896
8.63
4.01
[9, 11, 12, 12]
['12×11-12×9']
true
21.38
0.593
11.02
6.56