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,
1,
2,
13
] |
[
"13×2-1-1",
"(1+1)×13-2",
"(13-1)×2×1"
] | true | 5.19 | 0.988 | 5.51 | 1.79 | 11 |
[
2,
2,
8,
10
] |
[
"8×2+10-2",
"10×2+8/2",
"(10×2-8)×2",
"(10-2)×2+8",
"(10/2-2)×8"
] | true | 8.74 | 0.944 | 9.31 | 3.29 | 396 |
[
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 | 966 |
[
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 | 555 |
[
1,
1,
10,
13
] |
[
"(13+10+1)×1"
] | true | 5.72 | 0.98 | 6.15 | 2.19 | 42 |
[
3,
7,
8,
9
] |
[
"(9+7-8)×3"
] | true | 9.33 | 0.873 | 9.34 | 3.93 | 841 |
[
1,
3,
9,
10
] |
[
"(10+1)×3-9"
] | true | 57.74 | 0.411 | 24.03 | 13.23 | 167 |
[
2,
3,
3,
10
] |
[
"10×3-3×2",
"(10/2+3)×3"
] | true | 11.58 | 0.85 | 11.59 | 5.02 | 416 |
[
2,
6,
8,
9
] |
[
"(6×2-9)×8",
"9×8×2/6"
] | true | 18.5 | 0.731 | 15.67 | 6.8 | 576 |
[
3,
7,
7,
7
] |
[
"7+7+7+3",
"(7/7+7)×3"
] | true | 5.75 | 0.977 | 6.09 | 2.04 | 834 |
[
1,
6,
6,
11
] |
[
"11+6+6+1",
"(11-6-1)×6",
"6×6-11-1"
] | true | 5.75 | 0.983 | 6.23 | 2.24 | 267 |
[
4,
7,
12,
13
] |
[
"(13-7-4)×12",
"(12+7-13)×4"
] | true | 7.32 | 0.922 | 7.86 | 3.4 | 1,033 |
[
2,
3,
4,
10
] |
[
"10×3-4-2",
"(10+2-4)×3",
"(10-4/2)×3",
"4×3+10+2",
"(4+3)×2+10"
] | true | 10.06 | 0.919 | 10.47 | 4.39 | 426 |
[
3,
3,
6,
10
] |
[
"(3+3)×(10-6)",
"(10-3-3)×6",
"(6×3-10)×3",
"(10-6/3)×3"
] | true | 10.15 | 0.866 | 10.01 | 4.34 | 690 |
[
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 | 544 |
[
7,
9,
13,
13
] |
[
"13+13+7-9",
"(13-7)×(13-9)"
] | true | 6.91 | 0.965 | 7.48 | 2.77 | 1,286 |
[
3,
3,
4,
8
] |
[
"(3+3)×(8-4)",
"(4-3/3)×8",
"(4-3)×8×3"
] | true | 6.12 | 0.964 | 6.46 | 2.14 | 674 |
[
3,
3,
6,
9
] |
[
"3×3+9+6",
"6×3+9-3",
"9×3+3-6",
"(6-3)×9-3",
"(9+3)×6/3",
"(9-3)×3+6"
] | true | 9.63 | 0.944 | 10.27 | 4.02 | 689 |
[
4,
6,
8,
10
] |
[
"(8-6)×10+4",
"(10-6)×4+8"
] | true | 16.17 | 0.762 | 13.36 | 7.95 | 997 |
[
6,
6,
12,
12
] |
[
"12+12+6-6",
"(12-6)×6-12"
] | true | 5.75 | 0.984 | 6.3 | 2.32 | 1,201 |
[
3,
7,
10,
11
] |
[
"(11-3)×(10-7)",
"(11+7-10)×3"
] | true | 8.1 | 0.906 | 8.36 | 3.42 | 851 |
[
10,
12,
12,
13
] |
[
"12/12+13+10",
"(13-10)×12-12"
] | true | 7.37 | 0.901 | 7.8 | 3.55 | 1,347 |
[
1,
3,
7,
13
] |
[
"13+7+3+1",
"(13-7)×(3+1)"
] | true | 7.11 | 0.969 | 7.5 | 2.64 | 159 |
[
3,
11,
12,
12
] |
[
"(11+3-12)×12"
] | true | 8.65 | 0.911 | 9.02 | 3.46 | 895 |
[
5,
5,
8,
10
] |
[
"(10+5)×8/5",
"(5-10/5)×8"
] | true | 10.5 | 0.81 | 9.9 | 4.07 | 1,085 |
[
1,
5,
10,
11
] |
[
"(11+1)×10/5"
] | true | 10.29 | 0.864 | 10.1 | 3.74 | 257 |
[
4,
10,
10,
11
] |
[
"11×4-10-10"
] | true | 29.05 | 0.546 | 19.85 | 9.39 | 1,063 |
[
1,
11,
11,
13
] |
[
"(11+1)×(13-11)",
"(13/11+1)×11"
] | true | 10.33 | 0.875 | 10.27 | 4.31 | 335 |
[
7,
8,
12,
13
] |
[
"(8+7-13)×12",
"13+12+7-8",
"(13-7)×(12-8)"
] | true | 6.91 | 0.967 | 7.4 | 2.62 | 1,279 |
[
1,
1,
3,
7
] |
[
"(7-1)×(3+1)",
"(7+1)×3×1"
] | true | 5.5 | 0.971 | 5.83 | 1.94 | 15 |
[
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 | 515 |
[
1,
9,
10,
12
] |
[
"(10+1-9)×12"
] | true | 6.97 | 0.939 | 7.35 | 2.83 | 324 |
[
3,
5,
5,
12
] |
[
"(3-5/5)×12"
] | true | 7.43 | 0.889 | 7.77 | 3.45 | 768 |
[
2,
7,
10,
11
] |
[
"10×7/2-11",
"10×2+11-7"
] | true | 13.84 | 0.786 | 12.62 | 6.25 | 607 |
[
6,
6,
11,
12
] |
[
"6/6+12+11"
] | true | 6.39 | 0.893 | 6.74 | 2.97 | 1,199 |
[
4,
7,
7,
8
] |
[
"(7+7-8)×4",
"(4-7/7)×8"
] | true | 6.09 | 0.939 | 6.59 | 2.54 | 1,013 |
[
4,
5,
5,
7
] |
[
"(7-5/5)×4"
] | true | 9.75 | 0.826 | 9.27 | 4.37 | 945 |
[
4,
4,
4,
10
] |
[
"10×4-4×4",
"(4×4-10)×4"
] | true | 15.27 | 0.765 | 13.03 | 6.5 | 905 |
[
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 | 222 |
[
1,
4,
4,
4
] |
[
"(4+1)×4+4",
"(4+4)×(4-1)"
] | true | 7.63 | 0.959 | 8.1 | 2.98 | 179 |
[
4,
7,
10,
10
] |
[
"(7-10/10)×4"
] | true | 9.17 | 0.839 | 8.92 | 4.21 | 1,026 |
[
1,
2,
7,
10
] |
[
"(7×2+10)×1"
] | true | 7.44 | 0.907 | 8.05 | 4.11 | 99 |
[
3,
7,
7,
9
] |
[
"(9-7/7)×3"
] | true | 7.24 | 0.868 | 7.32 | 3.01 | 836 |
[
3,
4,
10,
12
] |
[
"(12-10)×4×3",
"(4×3-10)×12",
"(10-4)×12/3",
"(10-12/3)×4",
"12/(3-10/4)"
] | true | 8.14 | 0.927 | 8.51 | 3.56 | 757 |
[
2,
4,
11,
12
] |
[
"(11-2)×4-12"
] | true | 66.98 | 0.399 | 25.01 | 14.65 | 521 |
[
3,
4,
12,
12
] |
[
"(12+12)×(4-3)",
"(12-3)×4-12"
] | true | 6.06 | 0.948 | 6.55 | 2.47 | 761 |
[
1,
1,
4,
4
] |
[
"(4+1+1)×4"
] | true | 6.11 | 0.946 | 6.4 | 2.45 | 22 |
[
2,
2,
3,
7
] |
[
"(2/2+7)×3",
"(7+3+2)×2"
] | true | 8.26 | 0.884 | 8.57 | 3.86 | 356 |
[
3,
4,
5,
13
] |
[
"(13+5)×4/3",
"5×3+13-4"
] | true | 24.58 | 0.659 | 18.57 | 8.77 | 733 |
[
5,
6,
13,
13
] |
[
"(5-13/13)×6"
] | true | 6.97 | 0.872 | 7.07 | 2.8 | 1,131 |
[
7,
7,
11,
12
] |
[
"7/7+12+11",
"(12-7)×7-11"
] | true | 5.49 | 0.938 | 5.83 | 2.13 | 1,261 |
[
2,
7,
12,
13
] |
[
"12/(7-13/2)",
"(13-7)×2+12"
] | true | 11.06 | 0.804 | 10.17 | 5.11 | 611 |
[
5,
8,
11,
12
] |
[
"(8+5-11)×12",
"(11+5)×12/8",
"(11-5)×(12-8)"
] | true | 10.6 | 0.871 | 10.85 | 4.37 | 1,159 |
[
1,
12,
12,
13
] |
[
"(13+1-12)×12"
] | true | 7.44 | 0.944 | 7.97 | 3.27 | 340 |
[
2,
3,
5,
6
] |
[
"6×5-3×2",
"5×3×2-6",
"(5+2-3)×6",
"(5-3)×6×2",
"(5+3)×6/2",
"(6/2+5)×3"
] | true | 7.71 | 0.954 | 8.19 | 3.01 | 431 |
[
4,
7,
11,
12
] |
[
"(11+7-12)×4"
] | true | 9.81 | 0.862 | 9.9 | 4.91 | 1,030 |
[
1,
4,
9,
11
] |
[
"(4-1)×11-9",
"9×4-11-1",
"(11+9+4)×1"
] | true | 8.3 | 0.944 | 8.93 | 3.73 | 217 |
[
4,
4,
5,
8
] |
[
"(4+4)×(8-5)",
"(4+4-5)×8",
"8×5-4×4",
"5×4+8-4",
"(8-4)×5+4"
] | true | 7.44 | 0.96 | 7.82 | 2.63 | 911 |
[
1,
4,
6,
12
] |
[
"(12-6)×4×1",
"12×6/(4-1)",
"(6-4)×12×1",
"12/(6/4-1)",
"(12/4+1)×6"
] | true | 5.93 | 0.968 | 6.41 | 2.54 | 203 |
[
5,
5,
12,
13
] |
[
"5×5+12-13",
"13+12-5/5"
] | true | 6.18 | 0.956 | 6.66 | 2.16 | 1,099 |
[
9,
9,
12,
12
] |
[
"12+12+9-9"
] | true | 5.38 | 0.984 | 5.88 | 2.12 | 1,324 |
[
5,
6,
7,
12
] |
[
"(7+5)×12/6",
"(7-5)×6+12"
] | true | 9.5 | 0.846 | 9.49 | 4.46 | 1,110 |
[
1,
2,
6,
11
] |
[
"6×2+11+1"
] | true | 8.96 | 0.898 | 9.36 | 4.29 | 93 |
[
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 | 1,024 |
[
1,
2,
3,
12
] |
[
"(3+1-2)×12",
"(3+1)×12/2",
"12/(3/2-1)"
] | true | 6.35 | 0.962 | 6.88 | 2.56 | 68 |
[
6,
6,
8,
11
] |
[
"(11-8)×6+6"
] | true | 8.98 | 0.829 | 8.69 | 4.54 | 1,190 |
[
1,
6,
10,
12
] |
[
"12×10/(6-1)"
] | true | 21.92 | 0.658 | 14.81 | 8.32 | 284 |
[
3,
3,
7,
9
] |
[
"7×3+9/3",
"(9-3)×(7-3)",
"9×7/3+3"
] | true | 9.86 | 0.909 | 10.09 | 3.81 | 696 |
[
1,
2,
5,
10
] |
[
"10×2+5-1",
"10×5/2-1"
] | true | 10.06 | 0.918 | 10.31 | 4.12 | 85 |
[
2,
3,
5,
9
] |
[
"(9-5)×3×2",
"9×3+2-5",
"(5-2)×9-3",
"(9×5+3)/2"
] | true | 8.87 | 0.922 | 9.41 | 4.3 | 434 |
[
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 | 1,098 |
[
1,
3,
6,
13
] |
[
"(13+1-6)×3",
"(13-1)×6/3"
] | true | 8.22 | 0.921 | 8.49 | 3.18 | 153 |
[
1,
2,
4,
9
] |
[
"(9-2-1)×4",
"(9+4-1)×2",
"(9+1)×2+4"
] | true | 9.12 | 0.91 | 9.56 | 4.03 | 75 |
[
4,
5,
7,
12
] |
[
"(5+4-7)×12",
"12×4/(7-5)"
] | true | 9.6 | 0.878 | 9.54 | 4.02 | 962 |
[
10,
10,
11,
13
] |
[
"13+11+10-10"
] | true | 6 | 0.975 | 6.54 | 2.35 | 1,339 |
[
12,
12,
13,
13
] |
[
"13+12+12-13"
] | true | 5.4 | 0.987 | 5.82 | 1.93 | 1,360 |
[
3,
5,
9,
10
] |
[
"(9+3)×10/5",
"(10-5)×3+9"
] | true | 20.4 | 0.68 | 15.17 | 8.07 | 789 |
[
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 | 580 |
[
2,
3,
6,
13
] |
[
"13+6+3+2",
"13×2-6/3",
"13×6/3-2"
] | true | 10.98 | 0.898 | 11.06 | 4.6 | 446 |
[
3,
3,
8,
12
] |
[
"(3+3)×(12-8)",
"(8-3-3)×12",
"(12-3×3)×8",
"(12-3)×8/3"
] | true | 8.63 | 0.915 | 9.13 | 3.94 | 703 |
[
1,
4,
5,
5
] |
[
"5×4+5-1",
"(5-1)×5+4"
] | true | 7.59 | 0.959 | 8.09 | 2.79 | 188 |
[
1,
6,
7,
10
] |
[
"10+7+6+1",
"(10+1-7)×6",
"(7-1)×(10-6)"
] | true | 6.01 | 0.986 | 6.57 | 2.26 | 271 |
[
5,
7,
11,
11
] |
[
"11+11+7-5",
"(11-5)×(11-7)"
] | true | 6.86 | 0.963 | 7.27 | 2.66 | 1,146 |
[
3,
9,
10,
13
] |
[
"9×3+10-13",
"(13-10)×9-3"
] | true | 11.44 | 0.827 | 11.44 | 6.64 | 884 |
[
1,
5,
6,
11
] |
[
"(6+1)×5-11",
"(11-6)×5-1"
] | true | 13.69 | 0.807 | 12.41 | 6.7 | 236 |
[
2,
4,
5,
9
] |
[
"(4+2)×(9-5)",
"(9+2-5)×4",
"(9+5)×2-4"
] | true | 9.8 | 0.863 | 9.82 | 4.76 | 487 |
[
8,
9,
12,
13
] |
[
"13+12+8-9",
"12×8/(13-9)"
] | true | 6.94 | 0.96 | 7.43 | 2.68 | 1,313 |
[
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 | 559 |
[
1,
2,
13,
13
] |
[
"(13+13-2)×1"
] | true | 6.25 | 0.973 | 6.96 | 2.69 | 117 |
[
2,
9,
10,
12
] |
[
"(10-2)×(12-9)",
"(10-9)×12×2"
] | true | 7.28 | 0.941 | 7.63 | 2.89 | 637 |
[
6,
8,
9,
11
] |
[
"8×6/(11-9)"
] | true | 10.24 | 0.844 | 10.15 | 4.86 | 1,226 |
[
3,
6,
6,
6
] |
[
"(6-3)×6+6",
"(6+6)×6/3",
"(6-6/3)×6",
"(6/6+3)×6"
] | true | 7.4 | 0.945 | 7.88 | 3.26 | 801 |
[
3,
4,
8,
12
] |
[
"12×4/3+8",
"12×4-8×3",
"12×3-8-4",
"(8+4)×3-12",
"(12+4-8)×3",
"(8-4)×3+12"
] | true | 11.71 | 0.875 | 11.59 | 5.58 | 750 |
[
2,
4,
9,
9
] |
[
"9+9+4+2"
] | true | 8.9 | 0.902 | 9.04 | 3.95 | 512 |
[
2,
9,
9,
12
] |
[
"12×2+9-9",
"12/2+9+9",
"(9+9)×2-12"
] | true | 5.36 | 0.974 | 5.79 | 2.01 | 633 |
[
4,
6,
11,
11
] |
[
"6×4+11-11",
"11+11+6-4"
] | true | 5.04 | 0.989 | 5.42 | 1.73 | 1,007 |
[
5,
8,
9,
13
] |
[
"9×5-13-8"
] | true | 65.12 | 0.363 | 34.82 | 16.79 | 1,156 |
[
4,
4,
4,
12
] |
[
"12+4+4+4",
"(4+4)×12/4",
"4×4+12-4"
] | true | 7.04 | 0.965 | 7.49 | 2.91 | 907 |
[
6,
8,
11,
13
] |
[
"8×6-13-11",
"8×6/(13-11)"
] | true | 9.35 | 0.862 | 9.65 | 4.65 | 1,234 |
[
1,
3,
3,
11
] |
[
"(11-3)×3×1"
] | true | 10.18 | 0.883 | 10.19 | 4.75 | 126 |
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