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
|
|---|---|---|---|---|---|---|---|
[
5,
7,
8,
9
] |
[
"(7+5-9)×8",
"8×5-9-7"
] | true | 9.45 | 0.886 | 9.68 | 4.27 | 1,136 |
[
3,
3,
3,
6
] |
[
"6×3+3+3",
"(3+3)×3+6",
"(3/3+3)×6",
"(6+3)×3-3"
] | true | 6.24 | 0.977 | 6.79 | 2.6 | 663 |
[
6,
9,
12,
13
] |
[
"(9+6-13)×12",
"(12-6)×(13-9)",
"12/6+13+9"
] | true | 10.59 | 0.882 | 10.68 | 4.41 | 1,245 |
[
1,
8,
10,
11
] |
[
"(11+1)×(10-8)"
] | true | 10.18 | 0.873 | 10.17 | 3.5 | 317 |
[
2,
10,
11,
13
] |
[
"(10+2)×(13-11)",
"(13+10-11)×2"
] | true | 8.6 | 0.897 | 8.66 | 3.42 | 648 |
[
3,
3,
9,
13
] |
[
"(3+3)×(13-9)"
] | true | 13.29 | 0.741 | 11 | 6.22 | 709 |
[
4,
5,
9,
12
] |
[
"12×5/4+9",
"12×5-9×4"
] | true | 31.32 | 0.6 | 23.3 | 10.91 | 972 |
[
2,
8,
11,
11
] |
[
"(11/11+2)×8"
] | true | 6.49 | 0.889 | 6.66 | 2.84 | 627 |
[
2,
9,
9,
11
] |
[
"(9/9+11)×2"
] | true | 7.09 | 0.875 | 7.12 | 2.81 | 632 |
[
9,
10,
11,
12
] |
[
"12+11+10-9",
"(11+9)×12/10"
] | true | 6.96 | 0.961 | 7.5 | 2.82 | 1,327 |
[
6,
12,
13,
13
] |
[
"13+13-12/6"
] | true | 9.95 | 0.873 | 10 | 3.82 | 1,256 |
[
3,
5,
10,
13
] |
[
"(5+3)×(13-10)",
"13×3-10-5",
"(13+5-10)×3"
] | true | 12 | 0.825 | 11.24 | 5.48 | 795 |
[
2,
10,
10,
13
] |
[
"(10-2)×(13-10)",
"(13-10/10)×2"
] | true | 7.63 | 0.899 | 7.84 | 3.04 | 645 |
[
4,
7,
7,
7
] |
[
"(7-7/7)×4"
] | true | 6.86 | 0.888 | 7.08 | 3.04 | 1,012 |
[
2,
5,
10,
12
] |
[
"(12+5)×2-10",
"(12-5)×2+10"
] | true | 25.59 | 0.647 | 18.56 | 9 | 556 |
[
3,
3,
5,
7
] |
[
"(5×3-7)×3"
] | true | 108.12 | 0.294 | 30.91 | 19.93 | 681 |
[
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 | 577 |
[
5,
6,
7,
9
] |
[
"(7-5)×9+6"
] | true | 27.1 | 0.6 | 16.58 | 9.35 | 1,109 |
[
6,
6,
7,
9
] |
[
"(6+6)×(9-7)",
"(7+6-9)×6"
] | true | 8.38 | 0.908 | 8.79 | 3.76 | 1,183 |
[
2,
5,
5,
7
] |
[
"7×2+5+5"
] | true | 12.33 | 0.821 | 11.77 | 4.99 | 524 |
[
4,
9,
10,
13
] |
[
"(10-4)×(13-9)",
"(10+9-13)×4"
] | true | 11.4 | 0.824 | 10.89 | 4.85 | 1,059 |
[
2,
5,
7,
8
] |
[
"(5×2-7)×8"
] | true | 87.16 | 0.334 | 28.84 | 16.25 | 540 |
[
6,
6,
9,
11
] |
[
"(6+6)×(11-9)",
"(9+6-11)×6"
] | true | 8.79 | 0.886 | 9.14 | 4.16 | 1,194 |
[
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 | 748 |
[
7,
7,
9,
10
] |
[
"(9-7)×7+10"
] | true | 13 | 0.757 | 11.52 | 5.28 | 1,259 |
[
2,
4,
5,
6
] |
[
"6×5-4-2",
"(4+2)×5-6",
"5×4+6-2",
"(6-2)×5+4",
"(5+4)×2+6"
] | true | 11.29 | 0.911 | 11.75 | 4.52 | 484 |
[
1,
2,
6,
13
] |
[
"6×2+13-1"
] | true | 8.53 | 0.912 | 9.06 | 3.98 | 95 |
[
4,
7,
8,
13
] |
[
"13+8+7-4",
"(13-7)×(8-4)"
] | true | 9.72 | 0.909 | 10.22 | 4.41 | 1,020 |
[
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 | 563 |
[
3,
4,
7,
8
] |
[
"(7-3)×4+8"
] | true | 27.11 | 0.603 | 15.33 | 8.86 | 742 |
[
3,
8,
9,
9
] |
[
"8×3+9-9"
] | true | 5.43 | 0.969 | 5.79 | 1.95 | 863 |
[
3,
10,
10,
12
] |
[
"12/3+10+10",
"(10+10-12)×3",
"(3-10/10)×12"
] | true | 6.6 | 0.945 | 6.98 | 2.37 | 891 |
[
4,
8,
8,
11
] |
[
"(11×8+8)/4"
] | true | 94.44 | 0.298 | 24.47 | 14.91 | 1,038 |
[
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 | 206 |
[
2,
2,
7,
12
] |
[
"7×2+12-2"
] | true | 10.6 | 0.836 | 10.24 | 4.65 | 392 |
[
3,
5,
10,
12
] |
[
"(10-5-3)×12",
"12+10+5-3"
] | true | 7.54 | 0.948 | 8.1 | 3.18 | 794 |
[
3,
8,
10,
12
] |
[
"12×10/(8-3)"
] | true | 35.54 | 0.54 | 21.25 | 11.09 | 870 |
[
2,
2,
8,
12
] |
[
"12+8+2+2",
"12×8/(2+2)",
"12×8/2/2",
"2×2+12+8",
"(8-2)×2+12",
"(8/2-2)×12"
] | true | 6.71 | 0.981 | 7.14 | 2.32 | 397 |
[
3,
5,
5,
9
] |
[
"(9-5/5)×3",
"(9/5+3)×5"
] | true | 9.48 | 0.833 | 9.06 | 4.16 | 766 |
[
6,
10,
12,
12
] |
[
"12/6+12+10",
"(12-10)×6+12"
] | true | 10.08 | 0.887 | 10.37 | 4.61 | 1,249 |
[
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 | 1,028 |
[
2,
9,
13,
13
] |
[
"(13+9)/2+13"
] | true | 111.17 | 0.251 | 32.13 | 19.96 | 642 |
[
2,
8,
8,
8
] |
[
"8×8/2-8",
"(8+8)×2-8",
"(8/8+2)×8"
] | true | 7.25 | 0.938 | 7.83 | 3.39 | 612 |
[
4,
5,
7,
10
] |
[
"(7-5)×10+4"
] | true | 23.06 | 0.634 | 15.23 | 8.36 | 960 |
[
3,
4,
5,
5
] |
[
"5×5+3-4",
"5×3+5+4"
] | true | 8.09 | 0.94 | 8.78 | 3.79 | 725 |
[
3,
3,
5,
10
] |
[
"3×3+10+5",
"(10+3-5)×3",
"(3-3/5)×10"
] | true | 13.28 | 0.83 | 12.36 | 5.42 | 683 |
[
1,
2,
7,
9
] |
[
"9×2+7-1",
"7×2+9+1"
] | true | 9.52 | 0.934 | 10.01 | 3.92 | 98 |
[
3,
6,
6,
9
] |
[
"9+6+6+3",
"9×6/3+6",
"6×6-9-3",
"(9-6/6)×3"
] | true | 7.87 | 0.963 | 8.38 | 3.06 | 804 |
[
2,
2,
11,
13
] |
[
"13+11+2-2"
] | true | 6.05 | 0.981 | 6.62 | 2.43 | 406 |
[
2,
4,
7,
9
] |
[
"4×2+9+7",
"(9+7-4)×2"
] | true | 14.33 | 0.804 | 13.43 | 6.37 | 502 |
[
5,
5,
5,
5
] |
[
"5×5-5/5"
] | true | 6.03 | 0.952 | 6.48 | 2.23 | 1,071 |
[
4,
9,
9,
12
] |
[
"(9+9-12)×4",
"(4-12/9)×9"
] | true | 17.15 | 0.711 | 13.83 | 6.78 | 1,056 |
[
4,
4,
8,
9
] |
[
"9×4-8-4"
] | true | 21.4 | 0.697 | 17.26 | 8.52 | 929 |
[
3,
5,
7,
10
] |
[
"(5+3)×(10-7)",
"(5-3)×7+10",
"(10+5-7)×3"
] | true | 11.37 | 0.846 | 11.02 | 5.28 | 779 |
[
1,
4,
6,
9
] |
[
"(9-4-1)×6"
] | true | 9.05 | 0.862 | 9 | 4.15 | 200 |
[
1,
3,
4,
10
] |
[
"(10-4)×(3+1)",
"(10-3-1)×4",
"(3-1)×10+4"
] | true | 8.65 | 0.931 | 8.96 | 3.43 | 134 |
[
4,
8,
11,
13
] |
[
"(8+4)×(13-11)",
"(11+8-13)×4"
] | true | 11.65 | 0.825 | 10.89 | 5.3 | 1,051 |
[
1,
1,
9,
13
] |
[
"13+9+1+1"
] | true | 6.18 | 0.973 | 6.64 | 2.53 | 40 |
[
4,
7,
8,
10
] |
[
"8×7/4+10"
] | true | 27.29 | 0.623 | 19.27 | 9.38 | 1,017 |
[
1,
5,
5,
13
] |
[
"13+5+5+1"
] | true | 8.31 | 0.93 | 8.49 | 3.27 | 230 |
[
2,
2,
5,
10
] |
[
"(5+2)×2+10",
"(10-2)×(5-2)",
"(2/5+2)×10",
"(10×5-2)/2"
] | true | 15.47 | 0.783 | 13.87 | 6.02 | 378 |
[
1,
6,
12,
12
] |
[
"12×12×1/6",
"12/(1-6/12)"
] | true | 6.06 | 0.945 | 6.44 | 2.43 | 288 |
[
2,
3,
3,
12
] |
[
"12×2+3-3",
"(3+3)×2+12"
] | true | 5.48 | 0.986 | 5.96 | 2.06 | 418 |
[
2,
2,
7,
10
] |
[
"(10/2+7)×2"
] | true | 32.81 | 0.532 | 17.19 | 9.45 | 391 |
[
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 | 592 |
[
5,
9,
9,
11
] |
[
"11+9+9-5"
] | true | 9.55 | 0.895 | 9.81 | 3.88 | 1,162 |
[
5,
5,
8,
11
] |
[
"8×5-11-5"
] | true | 39.63 | 0.468 | 25.02 | 11.4 | 1,086 |
[
2,
10,
11,
12
] |
[
"11×2+12-10",
"(11-10)×12×2",
"(12-10)×11+2"
] | true | 6.62 | 0.958 | 6.95 | 2.42 | 647 |
[
5,
8,
8,
10
] |
[
"(8+5-10)×8",
"10×8/5+8"
] | true | 7.51 | 0.916 | 7.97 | 3.42 | 1,152 |
[
2,
4,
11,
11
] |
[
"11+11+4-2",
"4/2+11+11"
] | true | 5.94 | 0.962 | 6.36 | 2.34 | 520 |
[
1,
2,
3,
8
] |
[
"(2-1)×8×3",
"(8-2)×(3+1)",
"(8+3+1)×2",
"8/(1-2/3)"
] | true | 6.23 | 0.971 | 6.68 | 2.42 | 64 |
[
1,
1,
3,
6
] |
[
"(6+1+1)×3",
"(3+1)×6×1"
] | true | 5.2 | 0.979 | 5.56 | 1.79 | 14 |
[
6,
6,
6,
10
] |
[
"10×6-6×6"
] | true | 17.77 | 0.657 | 11.82 | 6.68 | 1,180 |
[
4,
10,
10,
12
] |
[
"(12-10)×10+4"
] | true | 13.97 | 0.778 | 12.43 | 6.44 | 1,064 |
[
2,
4,
6,
6
] |
[
"(6+2-4)×6",
"(6+6)×(4-2)",
"(6+6)×4/2",
"(6-4/2)×6",
"(6-4)×6×2",
"(6×2-6)×4"
] | true | 8.65 | 0.943 | 9.33 | 3.92 | 492 |
[
2,
2,
5,
11
] |
[
"(11-5)×(2+2)",
"(11-5)×2×2"
] | true | 9.36 | 0.877 | 9.67 | 4.57 | 379 |
[
1,
4,
4,
12
] |
[
"(12-4)×(4-1)",
"(4-1)×4+12",
"(4/4+1)×12"
] | true | 5.84 | 0.958 | 6.33 | 2.33 | 187 |
[
3,
5,
5,
6
] |
[
"(5+5)×3-6",
"(5/5+3)×6"
] | true | 7.18 | 0.892 | 7.48 | 3.3 | 763 |
[
1,
4,
9,
10
] |
[
"10+9+4+1"
] | true | 8.66 | 0.937 | 9.08 | 3.72 | 216 |
[
3,
5,
9,
13
] |
[
"13+9+5-3",
"(13-5)×9/3",
"(13×9+3)/5"
] | true | 9.91 | 0.914 | 10.25 | 4.2 | 791 |
[
5,
5,
6,
7
] |
[
"5×5+6-7",
"7×5-6-5"
] | true | 9.07 | 0.91 | 9.51 | 4.08 | 1,076 |
[
3,
9,
9,
11
] |
[
"(9+3)×(11-9)",
"11×9/3-9"
] | true | 18.75 | 0.698 | 14.37 | 7.84 | 878 |
[
1,
11,
12,
13
] |
[
"(13-11)×12×1"
] | true | 7.44 | 0.943 | 7.87 | 3.18 | 337 |
[
3,
4,
4,
8
] |
[
"4×3+8+4",
"8×3+4-4",
"(8-3)×4+4",
"(4×4-8)×3"
] | true | 5.47 | 0.984 | 5.9 | 1.96 | 719 |
[
1,
7,
8,
9
] |
[
"(9+1-7)×8",
"(9+8+7)×1"
] | true | 6.02 | 0.972 | 6.46 | 2.29 | 295 |
[
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 | 1,016 |
[
7,
8,
10,
13
] |
[
"13+10+8-7"
] | true | 8.96 | 0.922 | 9.51 | 4.18 | 1,275 |
[
2,
3,
8,
9
] |
[
"(9-3×2)×8",
"(9-3)×8/2"
] | true | 14.34 | 0.809 | 13.17 | 6.4 | 455 |
[
3,
6,
8,
8
] |
[
"8×6/3+8",
"8×6-8×3",
"(8/8+3)×6"
] | true | 7.44 | 0.927 | 7.77 | 2.97 | 815 |
[
1,
6,
6,
13
] |
[
"13+6+6-1",
"6×6+1-13"
] | true | 6.47 | 0.974 | 6.87 | 2.48 | 269 |
[
4,
6,
8,
8
] |
[
"6×4+8-8",
"(6-4)×8+8",
"(8+8)×6/4",
"(8+4)×(8-6)"
] | true | 5.93 | 0.969 | 6.38 | 2.28 | 995 |
[
1,
4,
6,
10
] |
[
"(4-1)×10-6"
] | true | 33.87 | 0.556 | 20.04 | 10.17 | 201 |
[
1,
3,
8,
9
] |
[
"9×8×1/3",
"3/(9/8-1)"
] | true | 6.44 | 0.922 | 7.03 | 3.37 | 161 |
[
3,
4,
5,
9
] |
[
"(5×3-9)×4",
"(9+4-5)×3"
] | true | 9.65 | 0.849 | 9.47 | 4.64 | 729 |
[
2,
2,
10,
10
] |
[
"10+10+2+2",
"2×2+10+10"
] | true | 4.81 | 0.982 | 5.11 | 1.61 | 401 |
[
3,
3,
8,
10
] |
[
"10+8+3+3",
"8/(10/3-3)"
] | true | 14.47 | 0.815 | 13.81 | 5.74 | 702 |
[
5,
6,
12,
12
] |
[
"(12+12)×(6-5)",
"(5-12/12)×6"
] | true | 5.42 | 0.972 | 5.8 | 1.81 | 1,129 |
[
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 | 565 |
[
4,
7,
9,
9
] |
[
"(7-9/9)×4"
] | true | 7.55 | 0.866 | 7.68 | 3.24 | 1,021 |
[
4,
7,
9,
13
] |
[
"7×4+9-13",
"(13-9)×7-4"
] | true | 10.5 | 0.845 | 10.62 | 5.92 | 1,025 |
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