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
|
|---|---|---|---|---|---|---|
[
2,
4,
7,
7
] | [
"(7+7)×2-4"
] | true | 35.74 | 0.512 | 17.72 | 9.75 |
[
2,
4,
7,
8
] | [
"(7×2-8)×4",
"8×7/2-4",
"7×4-8/2"
] | true | 19.54 | 0.763 | 17.24 | 7.47 |
[
2,
4,
7,
9
] | [
"4×2+9+7",
"(9+7-4)×2"
] | true | 14.33 | 0.804 | 13.43 | 6.37 |
[
2,
4,
7,
10
] | [
"(10-7)×4×2",
"(4-2)×7+10",
"7×4/2+10",
"(10-2)×(7-4)"
] | true | 8.56 | 0.912 | 8.82 | 3.86 |
[
2,
4,
7,
11
] | [
"11+7+4+2",
"(4+2)×(11-7)",
"(11+2-7)×4"
] | true | 8.68 | 0.926 | 9.08 | 3.86 |
[
2,
4,
7,
12
] | [
"(7+2)×4-12",
"12/(4-7/2)"
] | true | 116.99 | 0.275 | 31.26 | 18.75 |
[
2,
4,
8,
8
] | [
"4×2+8+8",
"(4-2)×8+8",
"8×4/2+8",
"(8-2)×(8-4)",
"(8+8-4)×2"
] | true | 8.25 | 0.937 | 8.89 | 4.13 |
[
2,
4,
8,
9
] | [
"(9-4-2)×8"
] | true | 10.39 | 0.835 | 10.03 | 4.55 |
[
2,
4,
8,
10
] | [
"10+8+4+2",
"10×4-8×2",
"(8×2-10)×4",
"(10-4)×8/2",
"(10-8/2)×4",
"(10+2)×8/4",
"10×2+8-4",
"8×4+2-10",
"(10-2)×4-8",
"(8/4+10)×2",
"(10×4+8)/2"
] | true | 7.58 | 0.978 | 8.07 | 2.66 |
[
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 |
[
2,
4,
8,
12
] | [
"(4+2)×(12-8)",
"(8-4-2)×12",
"8×2+12-4",
"(12+2-8)×4",
"(8-4)×12/2",
"(12+4)×2-8",
"(12-4)×2+8"
] | true | 8.38 | 0.94 | 9.08 | 4.28 |
[
2,
4,
8,
13
] | [
"13×2-8/4",
"13×8/4-2"
] | true | 13.23 | 0.821 | 12.37 | 6 |
[
2,
4,
9,
9
] | [
"9+9+4+2"
] | true | 8.9 | 0.902 | 9.04 | 3.95 |
[
2,
4,
9,
10
] | [
"9×2+10-4",
"9×4-10-2"
] | true | 14.52 | 0.794 | 13.3 | 6.08 |
[
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 |
[
2,
4,
9,
13
] | [
"(4+2)×(13-9)",
"13+9+4-2",
"4/2+13+9",
"(13+2-9)×4"
] | true | 8.17 | 0.939 | 8.57 | 3.53 |
[
2,
4,
10,
10
] | [
"(4/10+2)×10"
] | true | 116.36 | 0.26 | 30.52 | 19.71 |
[
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 |
[
2,
4,
10,
12
] | [
"(10-4×2)×12",
"12+10+4-2",
"4/2+12+10",
"(10-2)×12/4",
"(10-4)×2+12",
"12/(10/4-2)"
] | true | 7.43 | 0.966 | 8.1 | 3.22 |
[
2,
4,
10,
13
] | [
"(13-10)×4×2",
"(13+4)×2-10"
] | true | 8.89 | 0.892 | 9.31 | 4.55 |
[
2,
4,
11,
11
] | [
"11+11+4-2",
"4/2+11+11"
] | true | 5.94 | 0.962 | 6.36 | 2.34 |
[
2,
4,
11,
12
] | [
"(11-2)×4-12"
] | true | 66.98 | 0.399 | 25.01 | 14.65 |
[
2,
4,
12,
12
] | [
"12×12/(4+2)",
"12×4-12×2",
"(12/2-4)×12",
"(12-12/2)×4"
] | true | 10.25 | 0.858 | 10.14 | 4.71 |
[
2,
4,
13,
13
] | [
"13+13+2-4",
"13+13-4/2"
] | true | 6.94 | 0.959 | 7.48 | 2.76 |
[
2,
5,
5,
7
] | [
"7×2+5+5"
] | true | 12.33 | 0.821 | 11.77 | 4.99 |
[
2,
5,
5,
8
] | [
"(5/5+2)×8"
] | true | 7.08 | 0.886 | 7.29 | 3.23 |
[
2,
5,
5,
9
] | [
"5×2+9+5",
"(5-2)×5+9"
] | true | 16.2 | 0.785 | 14.74 | 6.1 |
[
2,
5,
5,
10
] | [
"(5-2/10)×5"
] | true | 191.41 | 0.216 | 24.53 | 17.32 |
[
2,
5,
5,
11
] | [
"(5+2)×5-11",
"(5/5+11)×2"
] | true | 7.92 | 0.832 | 7.85 | 3.55 |
[
2,
5,
5,
12
] | [
"12+5+5+2",
"12×2+5-5"
] | true | 5.47 | 0.988 | 5.88 | 1.96 |
[
2,
5,
5,
13
] | [
"(13-5)×(5-2)",
"(5×5-13)×2",
"(13-5/5)×2"
] | true | 7.02 | 0.923 | 7.46 | 2.86 |
[
2,
5,
6,
6
] | [
"(5×2-6)×6",
"(5-2)×6+6"
] | true | 11.91 | 0.782 | 10.44 | 6.03 |
[
2,
5,
6,
7
] | [
"(7+2-5)×6",
"6×2+7+5",
"(7-5)×6×2"
] | true | 8.24 | 0.924 | 8.68 | 3.67 |
[
2,
5,
6,
8
] | [
"5×2+8+6",
"(6+2-5)×8",
"(6+2)×(8-5)",
"6×5+2-8",
"(8-2)×5-6"
] | true | 7.54 | 0.955 | 8.03 | 3.05 |
[
2,
5,
6,
9
] | [
"6×5/2+9"
] | true | 54.49 | 0.446 | 28.34 | 14.23 |
[
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 |
[
2,
5,
6,
11
] | [
"11+6+5+2",
"(11-5-2)×6",
"(11-5)×(6-2)",
"(11+6-5)×2"
] | true | 6.76 | 0.963 | 7.25 | 2.64 |
[
2,
5,
6,
12
] | [
"12×6/(5-2)",
"12×5/2-6",
"(5-6/2)×12",
"(6-5)×12×2",
"6×5-12/2"
] | true | 6.45 | 0.954 | 6.86 | 2.56 |
[
2,
5,
6,
13
] | [
"(13-5)×6/2",
"(13+5-6)×2"
] | true | 8.12 | 0.915 | 8.51 | 3.61 |
[
2,
5,
7,
7
] | [
"5×2+7+7"
] | true | 11.04 | 0.823 | 10.5 | 4.71 |
[
2,
5,
7,
8
] | [
"(5×2-7)×8"
] | true | 87.16 | 0.334 | 28.84 | 16.25 |
[
2,
5,
7,
9
] | [
"7×5-9-2"
] | true | 35.81 | 0.532 | 24.02 | 10.62 |
[
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 |
[
2,
5,
7,
11
] | [
"11×2+7-5",
"(7-5)×11+2",
"(11×5-7)/2"
] | true | 12.56 | 0.822 | 11.97 | 5.94 |
[
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 |
[
2,
5,
8,
8
] | [
"8×5-8×2",
"(8×5+8)/2"
] | true | 15.74 | 0.716 | 12.2 | 6.91 |
[
2,
5,
8,
9
] | [
"9+8+5+2",
"9×8/(5-2)",
"(8-2)×(9-5)",
"(9+8-5)×2"
] | true | 9.26 | 0.928 | 9.61 | 3.82 |
[
2,
5,
8,
10
] | [
"(10-5-2)×8",
"(10-2)×(8-5)"
] | true | 11.99 | 0.828 | 11.16 | 4.89 |
[
2,
5,
8,
11
] | [
"(11-5)×8/2",
"(11+5)×2-8"
] | true | 10.29 | 0.859 | 10.45 | 5.18 |
[
2,
5,
8,
12
] | [
"(5×2-8)×12",
"(8+2)×12/5"
] | true | 34.66 | 0.546 | 18.65 | 10.33 |
[
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 |
[
2,
5,
9,
10
] | [
"10×2+9-5"
] | true | 14.94 | 0.781 | 13.46 | 6.36 |
[
2,
5,
9,
11
] | [
"(5-2)×11-9",
"9×2+11-5",
"(9-2)×5-11"
] | true | 15.61 | 0.766 | 13.65 | 7.23 |
[
2,
5,
9,
12
] | [
"(9-5-2)×12",
"12+9+5-2",
"12/(5-9/2)",
"(9-5)×12/2"
] | true | 7.22 | 0.957 | 7.67 | 2.92 |
[
2,
5,
10,
10
] | [
"(10+2)×10/5",
"(10/5+10)×2"
] | true | 10.8 | 0.787 | 9.94 | 4.23 |
[
2,
5,
10,
11
] | [
"11+10+5-2",
"11×2+10/5",
"11×10/5+2"
] | true | 8.53 | 0.943 | 9.09 | 3.67 |
[
2,
5,
10,
12
] | [
"(12+5)×2-10",
"(12-5)×2+10"
] | true | 25.59 | 0.647 | 18.56 | 9 |
[
2,
5,
10,
13
] | [
"10×5-13×2",
"13×2-10/5",
"13×10/5-2"
] | true | 13.14 | 0.822 | 12.66 | 6.05 |
[
2,
5,
11,
12
] | [
"12/(11/2-5)",
"(11-5)×2+12"
] | true | 12.56 | 0.772 | 10.88 | 5.66 |
[
2,
5,
12,
12
] | [
"(12-5×2)×12",
"(5-2)×12-12",
"(12-2)×12/5",
"(12×5-12)/2"
] | true | 7.23 | 0.833 | 7.55 | 4.19 |
[
2,
5,
12,
13
] | [
"12/2+13+5",
"(13+5)×2-12"
] | true | 31.7 | 0.582 | 22.49 | 10.09 |
[
2,
6,
6,
6
] | [
"6×2+6+6",
"6×6-6×2",
"6×6/2+6"
] | true | 7.61 | 0.961 | 8.13 | 3.05 |
[
2,
6,
6,
7
] | [
"(7-6/2)×6",
"(7-2)×6-6",
"(7×6+6)/2"
] | true | 12.85 | 0.784 | 11.18 | 5.89 |
[
2,
6,
6,
8
] | [
"(8-6)×6×2",
"(6×2-8)×6",
"(8+2-6)×6",
"(6-6/2)×8",
"(6/6+2)×8"
] | true | 6.88 | 0.957 | 7.49 | 3.02 |
[
2,
6,
6,
9
] | [
"(6+2)×(9-6)",
"(9+6)×2-6",
"(9×6-6)/2"
] | true | 17.45 | 0.725 | 13.7 | 6.89 |
[
2,
6,
6,
10
] | [
"10+6+6+2",
"10×6/2-6",
"6×6-10-2"
] | true | 8.66 | 0.94 | 9.12 | 3.63 |
[
2,
6,
6,
11
] | [
"(6/6+11)×2"
] | true | 7.74 | 0.831 | 7.51 | 3.24 |
[
2,
6,
6,
12
] | [
"(12-6-2)×6",
"(12-6)×(6-2)",
"12×2+6-6",
"(6×6+12)/2",
"(12/6+2)×6"
] | true | 6.46 | 0.977 | 7.03 | 2.6 |
[
2,
6,
6,
13
] | [
"(13-6/6)×2"
] | true | 7.72 | 0.85 | 7.68 | 3.22 |
[
2,
6,
7,
8
] | [
"(7+2-6)×8",
"(8+7)×2-6"
] | true | 8.94 | 0.896 | 9.24 | 4.04 |
[
2,
6,
7,
9
] | [
"9+7+6+2",
"(9-7)×6×2",
"(9+2-7)×6",
"7×6-9×2"
] | true | 7.34 | 0.961 | 7.85 | 3.01 |
[
2,
6,
7,
10
] | [
"(6+2)×(10-7)",
"(7×2-10)×6"
] | true | 19.24 | 0.699 | 13.62 | 7.59 |
[
2,
6,
7,
11
] | [
"(11+7-6)×2"
] | true | 11.29 | 0.825 | 10.81 | 5.3 |
[
2,
6,
7,
12
] | [
"(7-6)×12×2"
] | true | 7.1 | 0.923 | 7.33 | 3.01 |
[
2,
6,
7,
13
] | [
"13+7+6-2",
"(13-7)×(6-2)",
"(13-7-2)×6",
"(13+6-7)×2"
] | true | 7.11 | 0.967 | 7.51 | 2.7 |
[
2,
6,
8,
8
] | [
"8+8+6+2",
"(6-2)×8-8",
"(8-8/2)×6"
] | true | 9.63 | 0.928 | 10.04 | 4.14 |
[
2,
6,
8,
9
] | [
"(6×2-9)×8",
"9×8×2/6"
] | true | 18.5 | 0.731 | 15.67 | 6.8 |
[
2,
6,
8,
10
] | [
"(10-8)×6×2",
"(10+2-8)×6",
"(8-2)×(10-6)",
"(10+2)×(8-6)",
"(10+8-6)×2",
"(10+6)×2-8",
"8/(2-10/6)"
] | true | 7.95 | 0.934 | 8.47 | 3.57 |
[
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 |
[
2,
6,
8,
12
] | [
"12+8+6-2",
"12×8/(6-2)",
"(8×2-12)×6",
"(8-2)×6-12",
"(12-6)×8/2",
"(6-8/2)×12",
"8×6-12×2"
] | true | 10.55 | 0.942 | 11.28 | 4.55 |
[
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 |
[
2,
6,
9,
9
] | [
"(9+9-6)×2",
"(6/9+2)×9"
] | true | 29.42 | 0.575 | 15.56 | 9.18 |
[
2,
6,
9,
10
] | [
"(10-2)×(9-6)",
"(9-10/2)×6"
] | true | 18.71 | 0.695 | 14.93 | 6.77 |
[
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 |
[
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 |
[
2,
6,
10,
10
] | [
"10+10+6-2",
"10×2+10-6"
] | true | 7.25 | 0.959 | 7.78 | 3.05 |
[
2,
6,
10,
11
] | [
"6/2+11+10",
"(11+6)×2-10"
] | true | 16.5 | 0.74 | 13.78 | 7.07 |
[
2,
6,
10,
12
] | [
"(10-6-2)×12",
"(12-10)×6×2",
"(6×2-10)×12",
"(10+2)×12/6",
"(12+2-10)×6",
"(10-6)×12/2",
"(10-12/2)×6",
"(10×6-12)/2",
"(12/6+10)×2"
] | true | 7.01 | 0.954 | 7.47 | 2.78 |
[
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 |
[
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 |
[
2,
6,
11,
13
] | [
"(13-11)×6×2",
"(13+2-11)×6"
] | true | 7.82 | 0.901 | 8.01 | 3.44 |
[
2,
6,
12,
12
] | [
"12×6/2-12",
"12/2+12+6",
"(12+6)×2-12",
"(12-6)×2+12"
] | true | 10.27 | 0.892 | 10.66 | 5.14 |
[
2,
6,
12,
13
] | [
"13×2-12/6",
"12/(13/2-6)",
"13×12/6-2"
] | true | 15.13 | 0.785 | 13.77 | 6.11 |
[
2,
7,
7,
8
] | [
"8+7+7+2",
"(7/7+2)×8"
] | true | 5.65 | 0.969 | 5.98 | 2.02 |
[
2,
7,
7,
10
] | [
"(10/7+2)×7"
] | true | 90.16 | 0.276 | 28.11 | 13.67 |
[
2,
7,
7,
11
] | [
"(7-2)×7-11",
"(7/7+11)×2"
] | true | 7.95 | 0.863 | 7.99 | 3.74 |
[
2,
7,
7,
12
] | [
"12+7+7-2",
"12×2+7-7"
] | true | 5.3 | 0.988 | 5.69 | 1.9 |
[
2,
7,
7,
13
] | [
"(13-7/7)×2"
] | true | 7.28 | 0.863 | 7.38 | 3.13 |
[
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 |
[
2,
7,
8,
9
] | [
"(9+7)×2-8"
] | true | 76.32 | 0.387 | 19.6 | 12.12 |
Subsets and Splits