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
|
|---|---|---|---|---|---|---|---|
[
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 | 587 |
[
4,
7,
12,
12
] |
[
"(7-4)×12-12",
"(12×7+12)/4",
"(7-12/12)×4"
] | true | 6.36 | 0.885 | 6.73 | 3 | 1,032 |
[
2,
12,
12,
13
] |
[
"(13-12)×12×2",
"(13-12/12)×2"
] | true | 6.43 | 0.956 | 6.84 | 2.43 | 657 |
[
1,
5,
6,
9
] |
[
"(9-5)×6×1"
] | true | 7.22 | 0.922 | 7.71 | 3.55 | 234 |
[
3,
4,
5,
12
] |
[
"12+5+4+3",
"(4+3-5)×12",
"(5+3)×12/4",
"12×4/(5-3)",
"12×5/3+4",
"5×4+12/3",
"(5×4-12)×3",
"(12/4+5)×3"
] | true | 7.33 | 0.971 | 7.72 | 2.7 | 732 |
[
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 | 214 |
[
1,
3,
8,
10
] |
[
"(10-1)×8/3"
] | true | 16.72 | 0.709 | 12.77 | 6.81 | 162 |
[
1,
3,
4,
8
] |
[
"(3+1)×4+8",
"(8+1-3)×4",
"(8+4)×(3-1)",
"8/(4/3-1)"
] | true | 11.73 | 0.896 | 11.94 | 4.83 | 132 |
[
4,
6,
7,
12
] |
[
"12×6/(7-4)",
"(7-12/4)×6"
] | true | 12 | 0.813 | 11.54 | 5.69 | 994 |
[
4,
4,
10,
13
] |
[
"(4+4)×(13-10)",
"4/4+13+10"
] | true | 6.37 | 0.936 | 6.83 | 2.83 | 938 |
[
5,
6,
9,
12
] |
[
"(6+5-9)×12",
"(12-6)×(9-5)"
] | true | 9.98 | 0.873 | 10.09 | 4.43 | 1,120 |
[
1,
4,
4,
10
] |
[
"(10-4)×4×1"
] | true | 7.92 | 0.923 | 8.15 | 3.46 | 185 |
[
1,
1,
10,
12
] |
[
"12+10+1+1"
] | true | 4.8 | 0.99 | 5.04 | 1.53 | 41 |
[
3,
3,
6,
12
] |
[
"12+6+3+3",
"(3+3)×6-12"
] | true | 11.42 | 0.873 | 11.66 | 6.05 | 692 |
[
1,
2,
9,
13
] |
[
"(13+9+2)×1"
] | true | 8.86 | 0.932 | 9.42 | 4.19 | 108 |
[
1,
1,
7,
10
] |
[
"(1+1)×7+10"
] | true | 8.37 | 0.85 | 8.4 | 4.33 | 38 |
[
2,
6,
6,
13
] |
[
"(13-6/6)×2"
] | true | 7.72 | 0.85 | 7.68 | 3.22 | 568 |
[
3,
6,
10,
11
] |
[
"11+10+6-3",
"(11+3-10)×6"
] | true | 6.46 | 0.96 | 7.13 | 2.9 | 826 |
[
9,
9,
9,
12
] |
[
"(9+9)×12/9"
] | true | 19.42 | 0.631 | 10.38 | 7.1 | 1,320 |
[
8,
9,
10,
13
] |
[
"9×8/(13-10)",
"13+10+9-8"
] | true | 6.96 | 0.96 | 7.48 | 2.71 | 1,308 |
[
2,
4,
5,
5
] |
[
"(5+5)×2+4"
] | true | 25.84 | 0.598 | 15.79 | 8.59 | 483 |
[
2,
3,
11,
12
] |
[
"12+11+3-2"
] | true | 6.28 | 0.95 | 6.85 | 2.83 | 468 |
[
1,
1,
4,
6
] |
[
"6×4+1-1"
] | true | 4.36 | 0.992 | 4.63 | 1.45 | 24 |
[
3,
7,
7,
13
] |
[
"13+7+7-3",
"(13-7)×(7-3)"
] | true | 8.74 | 0.936 | 9.06 | 3.18 | 839 |
[
3,
8,
9,
10
] |
[
"(10-9)×8×3",
"10+9+8-3",
"(9+3)×(10-8)"
] | true | 6.71 | 0.963 | 7.06 | 2.54 | 864 |
[
4,
5,
8,
8
] |
[
"(5-8/4)×8",
"(8/8+5)×4"
] | true | 8.85 | 0.868 | 8.91 | 4.11 | 964 |
[
7,
8,
8,
12
] |
[
"(8+7-12)×8"
] | true | 11.16 | 0.831 | 10.67 | 4.69 | 1,268 |
[
2,
2,
4,
7
] |
[
"7×4-2-2",
"(2+2)×7-4",
"7×4-2×2",
"7×2×2-4",
"(7-2/2)×4",
"(7+4)×2+2"
] | true | 7.47 | 0.952 | 8.13 | 3.16 | 366 |
[
2,
4,
7,
12
] |
[
"(7+2)×4-12",
"12/(4-7/2)"
] | true | 116.99 | 0.275 | 31.26 | 18.75 | 505 |
[
6,
6,
10,
13
] |
[
"6/6+13+10",
"(13-10)×6+6"
] | true | 5.97 | 0.938 | 6.5 | 2.71 | 1,198 |
[
2,
2,
6,
8
] |
[
"(8-2-2)×6",
"(8-2×2)×6",
"8×2+6+2",
"(6+2)×2+8",
"(8+6-2)×2",
"(8-2)×(6-2)"
] | true | 9.41 | 0.955 | 9.83 | 3.55 | 383 |
[
3,
4,
6,
6
] |
[
"4×3+6+6",
"6×6-4×3",
"(6+4)×3-6",
"(6+6-4)×3"
] | true | 11.42 | 0.906 | 11.6 | 4.73 | 734 |
[
3,
4,
4,
6
] |
[
"(6-4)×4×3",
"(4×3-6)×4",
"(4-3)×6×4",
"(4+4)×(6-3)",
"(6/3+4)×4",
"(4/4+3)×6"
] | true | 5.81 | 0.974 | 6.15 | 1.95 | 717 |
[
6,
7,
10,
10
] |
[
"(10-7)×10-6"
] | true | 14.86 | 0.703 | 11.18 | 6.19 | 1,211 |
[
2,
3,
8,
8
] |
[
"(8-3-2)×8",
"(8+8)×3/2",
"(8×2-8)×3"
] | true | 13.49 | 0.799 | 12.26 | 6.01 | 454 |
[
1,
6,
6,
8
] |
[
"6/(1-6/8)"
] | true | 121.88 | 0.283 | 23.61 | 15.03 | 264 |
[
6,
7,
8,
10
] |
[
"(7+6-10)×8",
"7×6-10-8",
"(8-6)×7+10"
] | true | 8.11 | 0.914 | 8.61 | 3.65 | 1,206 |
[
1,
5,
6,
7
] |
[
"6×5+1-7",
"(7-1)×5-6"
] | true | 11.45 | 0.892 | 11.71 | 4.74 | 232 |
[
2,
3,
6,
11
] |
[
"(11-3)×6/2",
"(11-6/2)×3",
"11×2+6/3",
"11×6/3+2"
] | true | 9.84 | 0.901 | 10.09 | 4.48 | 444 |
[
2,
2,
8,
9
] |
[
"9×2+8-2"
] | true | 11.62 | 0.868 | 11.84 | 5.24 | 395 |
[
6,
6,
9,
13
] |
[
"13×6-9×6"
] | true | 31.03 | 0.538 | 14.15 | 9.07 | 1,196 |
[
1,
3,
12,
12
] |
[
"(12×3-12)×1"
] | true | 8.47 | 0.855 | 8.74 | 4.78 | 176 |
[
1,
1,
3,
10
] |
[
"(10-1-1)×3"
] | true | 9.04 | 0.884 | 9.05 | 3.91 | 18 |
[
6,
8,
8,
11
] |
[
"(8+6-11)×8"
] | true | 8.75 | 0.871 | 8.86 | 3.95 | 1,222 |
[
4,
4,
4,
6
] |
[
"6×4+4-4"
] | true | 5.27 | 0.982 | 5.66 | 1.95 | 901 |
[
1,
12,
13,
13
] |
[
"(13/13+1)×12"
] | true | 5.96 | 0.945 | 6.29 | 2.18 | 341 |
[
3,
8,
12,
13
] |
[
"(13-8-3)×12",
"(13-12)×8×3",
"(13+3)×12/8"
] | true | 5.85 | 0.961 | 6.22 | 2.19 | 874 |
[
2,
7,
7,
11
] |
[
"(7-2)×7-11",
"(7/7+11)×2"
] | true | 7.95 | 0.863 | 7.99 | 3.74 | 595 |
[
1,
2,
3,
5
] |
[
"(5+3)×(2+1)",
"(5+2+1)×3",
"(5-1)×3×2",
"(3+2)×5-1"
] | true | 7.12 | 0.955 | 7.45 | 2.41 | 61 |
[
1,
6,
7,
11
] |
[
"(11-7)×6×1",
"(6-1)×7-11",
"(11+7+6)×1"
] | true | 6.56 | 0.973 | 7.16 | 2.88 | 272 |
[
5,
6,
6,
8
] |
[
"(8-5)×6+6"
] | true | 11.39 | 0.812 | 10.82 | 6.07 | 1,103 |
[
7,
8,
12,
12
] |
[
"(12+12)×(8-7)"
] | true | 5.72 | 0.96 | 6.15 | 2.16 | 1,278 |
[
1,
6,
8,
12
] |
[
"(12-8)×6×1",
"(8-6)×12×1",
"(12/6+1)×8"
] | true | 5.4 | 0.971 | 5.79 | 2 | 278 |
[
4,
9,
10,
12
] |
[
"12×10/(9-4)"
] | true | 26.14 | 0.622 | 17.69 | 9.53 | 1,058 |
[
3,
3,
7,
7
] |
[
"(3/7+3)×7"
] | true | 51.64 | 0.407 | 13.53 | 8.22 | 694 |
[
2,
2,
4,
9
] |
[
"9×2+4+2",
"(9+4)×2-2"
] | true | 9.94 | 0.904 | 10.16 | 4.44 | 368 |
[
6,
11,
12,
13
] |
[
"(13-11)×6+12"
] | true | 10.69 | 0.802 | 9.84 | 5.1 | 1,253 |
[
1,
1,
6,
9
] |
[
"(1+1)×9+6"
] | true | 13.99 | 0.806 | 12.01 | 6.75 | 36 |
[
3,
4,
6,
8
] |
[
"(8-6)×4×3",
"(4×3-8)×6",
"(8+4)×6/3",
"(8-6/3)×4",
"(8/4+6)×3"
] | true | 10.95 | 0.907 | 11.41 | 5.07 | 735 |
[
6,
7,
9,
9
] |
[
"7×6-9-9",
"(9+7)×9/6",
"(9-7)×9+6"
] | true | 12.04 | 0.806 | 11.2 | 6.1 | 1,209 |
[
3,
3,
3,
5
] |
[
"5×3+3×3"
] | true | 10.14 | 0.856 | 9.81 | 4.22 | 662 |
[
4,
4,
6,
11
] |
[
"(11-6)×4+4"
] | true | 8.94 | 0.864 | 8.91 | 4.57 | 919 |
[
4,
6,
7,
7
] |
[
"7+7+6+4",
"6×4+7-7"
] | true | 5.21 | 0.987 | 5.55 | 1.84 | 990 |
[
2,
5,
8,
10
] |
[
"(10-5-2)×8",
"(10-2)×(8-5)"
] | true | 11.99 | 0.828 | 11.16 | 4.89 | 547 |
[
5,
5,
8,
13
] |
[
"(13-5-5)×8",
"(13-5)×(8-5)"
] | true | 11.44 | 0.808 | 10.88 | 4.63 | 1,088 |
[
3,
3,
6,
8
] |
[
"(3×3-6)×8",
"(6+3)×8/3"
] | true | 12.97 | 0.744 | 10.8 | 5.9 | 688 |
[
3,
4,
6,
11
] |
[
"11+6+4+3",
"(11-4-3)×6",
"6/(3-11/4)"
] | true | 10.49 | 0.89 | 10.69 | 4.72 | 738 |
[
1,
4,
5,
8
] |
[
"(5+1)×(8-4)",
"(5-1)×4+8"
] | true | 13.77 | 0.823 | 12.93 | 5.94 | 191 |
[
2,
3,
8,
10
] |
[
"3×2+10+8",
"10×3+2-8"
] | true | 16.25 | 0.819 | 15.39 | 6.72 | 456 |
[
3,
8,
10,
10
] |
[
"8×3+10-10"
] | true | 5.42 | 0.956 | 5.86 | 2.22 | 868 |
[
2,
2,
7,
13
] |
[
"13+7+2+2",
"(13-7)×(2+2)",
"2×2+13+7",
"(13-7)×2×2"
] | true | 7.27 | 0.963 | 7.68 | 2.9 | 393 |
[
3,
3,
4,
9
] |
[
"4×3+9+3",
"(9+3-4)×3",
"(9/3+3)×4"
] | true | 9.6 | 0.922 | 9.9 | 3.86 | 675 |
[
3,
4,
11,
13
] |
[
"(13-11)×4×3",
"(13+11)×(4-3)",
"11×3+4-13",
"13×3-11-4"
] | true | 5.93 | 0.966 | 6.42 | 2.38 | 760 |
[
10,
10,
12,
12
] |
[
"12+12+10-10"
] | true | 5.34 | 0.987 | 5.8 | 1.93 | 1,340 |
[
3,
4,
5,
8
] |
[
"8×4-5-3",
"(5+3)×4-8",
"(8+3-5)×4",
"(8+4)×(5-3)",
"(5-4)×8×3",
"(5+4)×8/3"
] | true | 6.6 | 0.963 | 7.09 | 2.7 | 728 |
[
2,
3,
3,
13
] |
[
"(13-3-2)×3",
"(13+3)×3/2",
"3×3+13+2",
"(13-3/3)×2"
] | true | 7.17 | 0.94 | 7.73 | 3 | 419 |
[
2,
2,
5,
7
] |
[
"7×2+5×2"
] | true | 9.19 | 0.892 | 9.23 | 3.72 | 375 |
[
2,
3,
3,
6
] |
[
"6×3+3×2",
"3×3×2+6",
"(3+3-2)×6",
"(3+3)×(6-2)",
"(6+3+3)×2"
] | true | 8.07 | 0.963 | 8.53 | 2.96 | 412 |
[
1,
2,
4,
8
] |
[
"(8+4)×2×1",
"(4+1-2)×8",
"(8-2)×4×1",
"(4/2+1)×8"
] | true | 6.18 | 0.966 | 6.6 | 2.38 | 74 |
[
7,
8,
10,
11
] |
[
"(11+10)×8/7"
] | true | 104.51 | 0.299 | 26.05 | 15.84 | 1,274 |
[
4,
12,
12,
12
] |
[
"12×4-12-12",
"12×12/4-12"
] | true | 9.13 | 0.865 | 9.45 | 4.85 | 1,070 |
[
2,
4,
7,
7
] |
[
"(7+7)×2-4"
] | true | 35.74 | 0.512 | 17.72 | 9.75 | 500 |
[
3,
6,
10,
10
] |
[
"(3-6/10)×10",
"(10/10+3)×6"
] | true | 8.01 | 0.855 | 8 | 3.76 | 825 |
[
1,
4,
5,
12
] |
[
"(5+1-4)×12",
"(12-5-1)×4"
] | true | 5.96 | 0.957 | 6.4 | 2.36 | 195 |
[
2,
8,
8,
12
] |
[
"(8-2)×(12-8)",
"8/2+12+8",
"12×2+8-8"
] | true | 6.01 | 0.975 | 6.54 | 2.48 | 616 |
[
1,
2,
11,
13
] |
[
"(13+11)×(2-1)"
] | true | 6.92 | 0.935 | 7.54 | 3.16 | 114 |
[
2,
3,
3,
11
] |
[
"(11-2)×3-3",
"(3/3+11)×2"
] | true | 7.37 | 0.897 | 7.69 | 3.36 | 417 |
[
2,
7,
8,
12
] |
[
"(12-7-2)×8",
"(8-7)×12×2"
] | true | 6.37 | 0.952 | 6.83 | 2.6 | 601 |
[
2,
7,
9,
11
] |
[
"11×2+9-7",
"(9-7)×11+2"
] | true | 12.03 | 0.837 | 11.6 | 5.5 | 604 |
[
8,
8,
11,
13
] |
[
"13+11+8-8",
"(13-11)×8+8"
] | true | 5.64 | 0.971 | 6.16 | 2.3 | 1,303 |
[
1,
2,
6,
7
] |
[
"(7-2-1)×6",
"(7+6-1)×2",
"(7+1)×6/2",
"(7-1)×(6-2)"
] | true | 7.09 | 0.955 | 7.48 | 2.61 | 89 |
[
3,
7,
9,
12
] |
[
"7×3+12-9",
"(7-3)×9-12",
"(12-7)×3+9",
"(12-9)×7+3"
] | true | 12.14 | 0.857 | 11.99 | 5.73 | 848 |
[
5,
6,
7,
13
] |
[
"6×5+7-13",
"(13+7)×6/5",
"7×6-13-5",
"(13-7)×5-6"
] | true | 10.72 | 0.862 | 10.82 | 5.55 | 1,111 |
[
8,
8,
11,
12
] |
[
"8/8+12+11"
] | true | 6.19 | 0.91 | 6.59 | 2.71 | 1,302 |
[
3,
4,
9,
11
] |
[
"(11-9)×4×3",
"(11×9-3)/4"
] | true | 8.3 | 0.897 | 8.55 | 4.06 | 753 |
[
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 | 498 |
[
5,
5,
6,
11
] |
[
"6×5+5-11",
"(11-5)×5-6"
] | true | 10.3 | 0.872 | 10.3 | 4.72 | 1,078 |
[
8,
9,
10,
12
] |
[
"(10+8)×12/9",
"12×10/8+9"
] | true | 51.92 | 0.431 | 23.06 | 14.34 | 1,307 |
[
5,
5,
8,
9
] |
[
"5×5+8-9",
"(8-5)×5+9"
] | true | 8.37 | 0.899 | 8.84 | 4 | 1,084 |
[
9,
11,
11,
11
] |
[
"11+11+11-9"
] | true | 6.95 | 0.955 | 7.3 | 2.75 | 1,331 |
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