numbers
sequencelengths 4
4
| solutions
sequencelengths 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
|
---|---|---|---|---|---|---|
[
4,
6,
9,
9
] | [
"6×4+9-9"
] | true | 5.81 | 0.965 | 6.23 | 2.29 |
[
4,
6,
9,
10
] | [
"(10-9)×6×4",
"10×6/4+9",
"10×6-9×4",
"(10×9+6)/4"
] | true | 7.05 | 0.94 | 7.55 | 3.25 |
[
4,
6,
9,
12
] | [
"(12+4)×9/6",
"(12-4)×(9-6)",
"(9-6)×4+12"
] | true | 14.9 | 0.772 | 12.82 | 6.98 |
[
4,
6,
9,
13
] | [
"13+9+6-4"
] | true | 12.94 | 0.856 | 12.87 | 5.31 |
[
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 |
[
4,
6,
10,
11
] | [
"(11-10)×6×4"
] | true | 5.94 | 0.946 | 6.34 | 2.41 |
[
4,
6,
10,
12
] | [
"12+10+6-4",
"(10-4)×6-12",
"12×10/4-6",
"12×10/6+4"
] | true | 8.85 | 0.939 | 9.4 | 4.05 |
[
4,
6,
11,
11
] | [
"6×4+11-11",
"11+11+6-4"
] | true | 5.04 | 0.989 | 5.42 | 1.73 |
[
4,
6,
11,
12
] | [
"(12-11)×6×4"
] | true | 6.6 | 0.929 | 7.03 | 2.97 |
[
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 |
[
4,
6,
12,
13
] | [
"(13-12)×6×4"
] | true | 6.4 | 0.938 | 6.88 | 2.91 |
[
4,
6,
13,
13
] | [
"6×4+13-13",
"13+13+4-6"
] | true | 5.26 | 0.988 | 5.67 | 1.8 |
[
4,
7,
7,
7
] | [
"(7-7/7)×4"
] | true | 6.86 | 0.888 | 7.08 | 3.04 |
[
4,
7,
7,
8
] | [
"(7+7-8)×4",
"(4-7/7)×8"
] | true | 6.09 | 0.939 | 6.59 | 2.54 |
[
4,
7,
7,
11
] | [
"7×4+7-11",
"(11-7)×7-4"
] | true | 9.65 | 0.874 | 9.82 | 4.73 |
[
4,
7,
8,
8
] | [
"(7+4-8)×8",
"8×7-8×4",
"(7-8/8)×4"
] | true | 6.99 | 0.943 | 7.41 | 2.6 |
[
4,
7,
8,
9
] | [
"9×8/(7-4)",
"(8+4)×(9-7)",
"(8+7-9)×4"
] | true | 8.55 | 0.919 | 8.93 | 3.78 |
[
4,
7,
8,
10
] | [
"8×7/4+10"
] | true | 27.29 | 0.623 | 19.27 | 9.38 |
[
4,
7,
8,
11
] | [
"(11-7)×4+8"
] | true | 17.22 | 0.68 | 11.36 | 7 |
[
4,
7,
8,
12
] | [
"7×4+8-12",
"(12-8)×7-4"
] | true | 15.82 | 0.792 | 14.42 | 6.97 |
[
4,
7,
8,
13
] | [
"13+8+7-4",
"(13-7)×(8-4)"
] | true | 9.72 | 0.909 | 10.22 | 4.41 |
[
4,
7,
9,
9
] | [
"(7-9/9)×4"
] | true | 7.55 | 0.866 | 7.68 | 3.24 |
[
4,
7,
9,
10
] | [
"10×4-9-7",
"(9+7-10)×4",
"(9-7)×10+4"
] | true | 7.81 | 0.909 | 8.35 | 3.71 |
[
4,
7,
9,
11
] | [
"(7-4)×11-9",
"(9-4)×7-11"
] | true | 37.33 | 0.523 | 23.35 | 11.52 |
[
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,
7,
9,
13
] | [
"7×4+9-13",
"(13-9)×7-4"
] | true | 10.5 | 0.845 | 10.62 | 5.92 |
[
4,
7,
10,
10
] | [
"(7-10/10)×4"
] | true | 9.17 | 0.839 | 8.92 | 4.21 |
[
4,
7,
10,
11
] | [
"11+10+7-4",
"(10-4)×(11-7)",
"(10+7-11)×4"
] | true | 6.96 | 0.971 | 7.55 | 2.81 |
[
4,
7,
10,
12
] | [
"(10+4)×12/7",
"(12-4)×(10-7)",
"(10-7)×4+12"
] | true | 13.36 | 0.792 | 11.83 | 5.79 |
[
4,
7,
11,
11
] | [
"(7-11/11)×4"
] | true | 7.41 | 0.864 | 7.6 | 3.55 |
[
4,
7,
11,
12
] | [
"(11+7-12)×4"
] | true | 9.81 | 0.862 | 9.9 | 4.91 |
[
4,
7,
11,
13
] | [
"11×4-13-7"
] | true | 61.48 | 0.377 | 31.97 | 16.68 |
[
4,
7,
12,
12
] | [
"(7-4)×12-12",
"(12×7+12)/4",
"(7-12/12)×4"
] | true | 6.36 | 0.885 | 6.73 | 3 |
[
4,
7,
12,
13
] | [
"(13-7-4)×12",
"(12+7-13)×4"
] | true | 7.32 | 0.922 | 7.86 | 3.4 |
[
4,
7,
13,
13
] | [
"(7-13/13)×4"
] | true | 6.96 | 0.878 | 7.25 | 3.09 |
[
4,
8,
8,
8
] | [
"(8-4)×8-8",
"8×8/4+8",
"(4-8/8)×8"
] | true | 6.87 | 0.945 | 7.27 | 2.8 |
[
4,
8,
8,
9
] | [
"(8+4-9)×8"
] | true | 8.23 | 0.925 | 8.52 | 3.2 |
[
4,
8,
8,
10
] | [
"(8+4)×(10-8)",
"10×4-8-8",
"8×8-10×4",
"(8+8-10)×4"
] | true | 12.11 | 0.858 | 11.92 | 5.58 |
[
4,
8,
8,
11
] | [
"(11×8+8)/4"
] | true | 94.44 | 0.298 | 24.47 | 14.91 |
[
4,
8,
8,
12
] | [
"12+8+8-4",
"12×8/(8-4)",
"(12-8)×4+8"
] | true | 9.06 | 0.944 | 9.57 | 3.94 |
[
4,
8,
8,
13
] | [
"(13×8-8)/4"
] | true | 88.2 | 0.297 | 25.3 | 14.96 |
[
4,
8,
9,
9
] | [
"(4-9/9)×8"
] | true | 6.38 | 0.907 | 6.59 | 2.38 |
[
4,
8,
9,
10
] | [
"(9+4-10)×8"
] | true | 8.16 | 0.891 | 8.37 | 3.48 |
[
4,
8,
9,
11
] | [
"(8+4)×(11-9)",
"11+9+8-4",
"(9+8-11)×4"
] | true | 8.9 | 0.929 | 9.39 | 3.94 |
[
4,
8,
9,
12
] | [
"9×8×4/12",
"(8-4)×9-12",
"9×8-12×4"
] | true | 19.77 | 0.727 | 16.96 | 7.19 |
[
4,
8,
9,
13
] | [
"8/4+13+9",
"(13-9)×4+8"
] | true | 12.37 | 0.82 | 11.39 | 6.29 |
[
4,
8,
10,
10
] | [
"10+10+8-4",
"(10-8)×10+4",
"(4-10/10)×8"
] | true | 5.97 | 0.973 | 6.38 | 2.15 |
[
4,
8,
10,
11
] | [
"(10+4-11)×8"
] | true | 7.79 | 0.908 | 8.12 | 3.49 |
[
4,
8,
10,
12
] | [
"(8+4)×(12-10)",
"(8+4-10)×12",
"8/4+12+10",
"(10-4)×(12-8)",
"12×4/(10-8)",
"(10+8-12)×4"
] | true | 7.27 | 0.958 | 7.82 | 2.92 |
[
4,
8,
11,
11
] | [
"8/4+11+11",
"(4-11/11)×8"
] | true | 5.77 | 0.953 | 6.09 | 2 |
[
4,
8,
11,
12
] | [
"(11+4-12)×8",
"11×4-12-8",
"(12-4)×(11-8)",
"(11-8)×4+12"
] | true | 7.2 | 0.93 | 7.8 | 3.23 |
[
4,
8,
11,
13
] | [
"(8+4)×(13-11)",
"(11+8-13)×4"
] | true | 11.65 | 0.825 | 10.89 | 5.3 |
[
4,
8,
12,
12
] | [
"(12+4)×12/8",
"(4-12/12)×8"
] | true | 12.93 | 0.857 | 12.33 | 5.97 |
[
4,
8,
12,
13
] | [
"(12+4-13)×8",
"12/4+13+8"
] | true | 7.67 | 0.919 | 8.32 | 3.73 |
[
4,
8,
13,
13
] | [
"13+13-8/4",
"(4-13/13)×8"
] | true | 6.05 | 0.946 | 6.31 | 1.96 |
[
4,
9,
9,
10
] | [
"10+9+9-4"
] | true | 10.03 | 0.899 | 10.28 | 4.17 |
[
4,
9,
9,
12
] | [
"(9+9-12)×4",
"(4-12/9)×9"
] | true | 17.15 | 0.711 | 13.83 | 6.78 |
[
4,
9,
10,
11
] | [
"(11-9)×10+4"
] | true | 12.76 | 0.767 | 10.96 | 5.86 |
[
4,
9,
10,
12
] | [
"12×10/(9-4)"
] | true | 26.14 | 0.622 | 17.69 | 9.53 |
[
4,
9,
10,
13
] | [
"(10-4)×(13-9)",
"(10+9-13)×4"
] | true | 11.4 | 0.824 | 10.89 | 4.85 |
[
4,
9,
11,
11
] | [
"11×4-11-9"
] | true | 46.63 | 0.445 | 26.12 | 14.27 |
[
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 |
[
4,
9,
12,
12
] | [
"(12-4)×(12-9)",
"12/4+12+9",
"(12×9-12)/4",
"(12-9)×4+12"
] | true | 10.05 | 0.896 | 10.47 | 4.48 |
[
4,
10,
10,
11
] | [
"11×4-10-10"
] | true | 29.05 | 0.546 | 19.85 | 9.39 |
[
4,
10,
10,
12
] | [
"(12-10)×10+4"
] | true | 13.97 | 0.778 | 12.43 | 6.44 |
[
4,
10,
11,
12
] | [
"12/4+11+10"
] | true | 25.19 | 0.631 | 17.86 | 9.14 |
[
4,
10,
11,
13
] | [
"(13-11)×10+4"
] | true | 12.95 | 0.756 | 10.92 | 5.88 |
[
4,
10,
12,
12
] | [
"(10+4-12)×12",
"12×12/(10-4)",
"12×4/(12-10)"
] | true | 8.21 | 0.922 | 8.68 | 3.5 |
[
4,
10,
12,
13
] | [
"(12-4)×(13-10)",
"(13-10)×4+12"
] | true | 11.42 | 0.815 | 10.62 | 5.63 |
[
4,
11,
12,
13
] | [
"(11+4-13)×12",
"12×4-13-11",
"12×4/(13-11)"
] | true | 9.01 | 0.913 | 9.39 | 3.91 |
[
4,
12,
12,
12
] | [
"12×4-12-12",
"12×12/4-12"
] | true | 9.13 | 0.865 | 9.45 | 4.85 |
[
5,
5,
5,
5
] | [
"5×5-5/5"
] | true | 6.03 | 0.952 | 6.48 | 2.23 |
[
5,
5,
5,
6
] | [
"5×5+5-6",
"(5-5/5)×6"
] | true | 6.23 | 0.964 | 6.68 | 2.33 |
[
5,
5,
5,
9
] | [
"9+5+5+5"
] | true | 10.32 | 0.875 | 10.07 | 4.21 |
[
5,
5,
5,
12
] | [
"(5+5)×12/5"
] | true | 15.8 | 0.673 | 10.54 | 6.47 |
[
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 |
[
5,
5,
6,
7
] | [
"5×5+6-7",
"7×5-6-5"
] | true | 9.07 | 0.91 | 9.51 | 4.08 |
[
5,
5,
6,
8
] | [
"8+6+5+5"
] | true | 16.86 | 0.786 | 15.19 | 6.67 |
[
5,
5,
6,
11
] | [
"6×5+5-11",
"(11-5)×5-6"
] | true | 10.3 | 0.872 | 10.3 | 4.72 |
[
5,
5,
7,
7
] | [
"7+7+5+5",
"7×7-5×5",
"5×5-7/7",
"(7+5)×(7-5)"
] | true | 5.66 | 0.979 | 6.01 | 1.93 |
[
5,
5,
7,
8
] | [
"(5+5-7)×8",
"5×5+7-8"
] | true | 7.32 | 0.927 | 7.81 | 3.01 |
[
5,
5,
7,
10
] | [
"(7+5)×10/5"
] | true | 13.71 | 0.742 | 11.78 | 5.2 |
[
5,
5,
7,
11
] | [
"(7-11/5)×5"
] | true | 93.75 | 0.266 | 27.68 | 14.77 |
[
5,
5,
8,
8
] | [
"5×5-8/8"
] | true | 8.56 | 0.848 | 8.58 | 4 |
[
5,
5,
8,
9
] | [
"5×5+8-9",
"(8-5)×5+9"
] | true | 8.37 | 0.899 | 8.84 | 4 |
[
5,
5,
8,
10
] | [
"(10+5)×8/5",
"(5-10/5)×8"
] | true | 10.5 | 0.81 | 9.9 | 4.07 |
[
5,
5,
8,
11
] | [
"8×5-11-5"
] | true | 39.63 | 0.468 | 25.02 | 11.4 |
[
5,
5,
8,
12
] | [
"(5+5-8)×12"
] | true | 12.1 | 0.794 | 11.1 | 5.12 |
[
5,
5,
8,
13
] | [
"(13-5-5)×8",
"(13-5)×(8-5)"
] | true | 11.44 | 0.808 | 10.88 | 4.63 |
[
5,
5,
9,
9
] | [
"5×5-9/9"
] | true | 7.46 | 0.852 | 7.73 | 3.52 |
[
5,
5,
9,
10
] | [
"5×5+9-10"
] | true | 8.87 | 0.866 | 9.23 | 4.43 |
[
5,
5,
9,
11
] | [
"(11-5)×(9-5)"
] | true | 14.95 | 0.716 | 12.54 | 5.4 |
[
5,
5,
10,
10
] | [
"5×5-10/10"
] | true | 6.99 | 0.868 | 7.34 | 3.24 |
[
5,
5,
10,
11
] | [
"5×5+10-11"
] | true | 7.66 | 0.873 | 8 | 3.72 |
[
5,
5,
10,
13
] | [
"5/5+13+10",
"(5-13/5)×10"
] | true | 7.19 | 0.9 | 7.6 | 3.43 |
[
5,
5,
11,
11
] | [
"5×5-11/11"
] | true | 7.21 | 0.858 | 7.47 | 3.47 |
[
5,
5,
11,
12
] | [
"5×5+11-12",
"5/5+12+11",
"(12-5)×5-11"
] | true | 5.53 | 0.964 | 5.89 | 1.9 |
[
5,
5,
11,
13
] | [
"13+11+5-5"
] | true | 6.22 | 0.963 | 6.88 | 2.62 |
[
5,
5,
12,
12
] | [
"(12-5-5)×12",
"5×5-12/12",
"12+12+5-5"
] | true | 5.44 | 0.988 | 5.81 | 1.74 |
[
5,
5,
12,
13
] | [
"5×5+12-13",
"13+12-5/5"
] | true | 6.18 | 0.956 | 6.66 | 2.16 |