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,
3,
6,
6
] |
[
"(3+2)×6-6",
"6×6×2/3",
"(6+2)×(6-3)",
"(6+3)×2+6",
"(6×3-6)×2",
"(6/3+2)×6"
] | true | 10.81 | 0.921 | 11.24 | 4.42 | 439 |
[
2,
3,
6,
9
] |
[
"(9-3-2)×6",
"(6+2)×9/3",
"6×2+9+3",
"(9-3)×(6-2)",
"(3-2/6)×9",
"9×6/2-3",
"9×3-6/2",
"(9+6-3)×2"
] | true | 10.29 | 0.933 | 10.78 | 4.23 | 442 |
[
6,
6,
9,
12
] |
[
"12×6/(9-6)",
"12×9/6+6",
"(12-9)×6+6"
] | true | 7.98 | 0.918 | 8.26 | 3.39 | 1,195 |
[
1,
8,
10,
13
] |
[
"(13-10)×8×1",
"(13-1)×(10-8)"
] | true | 6.27 | 0.948 | 6.61 | 2.4 | 319 |
[
3,
3,
4,
4
] |
[
"4×3+4×3",
"(4×3-4)×3"
] | true | 7.05 | 0.945 | 7.41 | 2.63 | 670 |
[
4,
4,
11,
12
] |
[
"4/4+12+11"
] | true | 5.81 | 0.92 | 6.13 | 2.4 | 939 |
[
1,
1,
2,
7
] |
[
"(7+1)×(2+1)"
] | true | 6.73 | 0.955 | 6.95 | 2.06 | 5 |
[
1,
2,
7,
11
] |
[
"7×2+11-1"
] | true | 10.7 | 0.882 | 10.89 | 4.83 | 100 |
[
2,
3,
4,
8
] |
[
"(8-4)×3×2",
"(4+2-3)×8",
"(8/2+4)×3"
] | true | 8.12 | 0.929 | 8.89 | 4.11 | 424 |
[
3,
6,
7,
10
] |
[
"7×6/3+10"
] | true | 33.87 | 0.575 | 22.71 | 10.92 | 812 |
[
4,
8,
11,
11
] |
[
"8/4+11+11",
"(4-11/11)×8"
] | true | 5.77 | 0.953 | 6.09 | 2 | 1,049 |
[
2,
8,
13,
13
] |
[
"(13/13+2)×8"
] | true | 6.18 | 0.902 | 6.49 | 2.62 | 631 |
[
3,
4,
7,
7
] |
[
"7×3+7-4",
"7×4+3-7",
"(7-3)×7-4",
"(7-4)×7+3"
] | true | 8.93 | 0.941 | 9.56 | 3.85 | 741 |
[
2,
10,
10,
11
] |
[
"(10/10+11)×2"
] | true | 7.59 | 0.85 | 7.41 | 3.02 | 643 |
[
5,
6,
8,
8
] |
[
"(6+5-8)×8",
"(5-8/8)×6"
] | true | 7.42 | 0.924 | 7.86 | 3.05 | 1,112 |
[
3,
3,
3,
3
] |
[
"3×3×3-3"
] | true | 6.88 | 0.96 | 7.55 | 3.39 | 660 |
[
1,
5,
5,
10
] |
[
"(10-5)×5-1"
] | true | 16.87 | 0.708 | 12.39 | 7.4 | 227 |
[
7,
7,
12,
13
] |
[
"7×7-13-12",
"13+12-7/7"
] | true | 6.26 | 0.939 | 6.69 | 2.37 | 1,264 |
[
4,
4,
6,
8
] |
[
"(8+4-6)×4",
"(8+4)×(6-4)"
] | true | 13.5 | 0.833 | 12.71 | 6.9 | 916 |
[
3,
6,
7,
13
] |
[
"6×3+13-7",
"(13-7)×3+6"
] | true | 11.65 | 0.824 | 10.94 | 6.02 | 814 |
[
4,
8,
9,
10
] |
[
"(9+4-10)×8"
] | true | 8.16 | 0.891 | 8.37 | 3.48 | 1,042 |
[
1,
2,
3,
10
] |
[
"10×2+3+1",
"(10-2)×3×1",
"(10+3-1)×2",
"(10+2)×(3-1)"
] | true | 6.17 | 0.983 | 6.49 | 1.99 | 66 |
[
6,
8,
13,
13
] |
[
"13+13+6-8"
] | true | 7.5 | 0.933 | 7.95 | 3.12 | 1,236 |
[
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 | 1,022 |
[
1,
4,
8,
8
] |
[
"(8-4-1)×8",
"(8×4-8)×1",
"(8/4+1)×8"
] | true | 6.31 | 0.967 | 6.81 | 2.51 | 211 |
[
11,
12,
13,
13
] |
[
"13/13+12+11",
"(13+11)×(13-12)"
] | true | 6.26 | 0.953 | 6.74 | 2.49 | 1,356 |
[
4,
5,
5,
5
] |
[
"5×5+4-5",
"(5/5+5)×4"
] | true | 6.05 | 0.976 | 6.61 | 2.43 | 943 |
[
2,
7,
7,
10
] |
[
"(10/7+2)×7"
] | true | 90.16 | 0.276 | 28.11 | 13.67 | 594 |
[
5,
6,
9,
9
] |
[
"(9-6)×5+9",
"(5-9/9)×6"
] | true | 7.01 | 0.908 | 7.33 | 2.8 | 1,117 |
[
4,
5,
8,
12
] |
[
"(12-5-4)×8",
"5×4+12-8",
"8×5-12-4",
"(12-4)×(8-5)",
"(8-5)×4+12",
"(12-8)×5+4"
] | true | 8.67 | 0.934 | 9.22 | 3.78 | 968 |
[
6,
8,
9,
9
] |
[
"(9+9)×8/6",
"9×8/(9-6)"
] | true | 10.32 | 0.862 | 10.33 | 4.3 | 1,224 |
[
3,
7,
9,
13
] |
[
"9×7-13×3",
"(7-13/3)×9"
] | true | 111.27 | 0.26 | 40.42 | 22.14 | 849 |
[
4,
4,
10,
10
] |
[
"(10×10-4)/4"
] | true | 62.74 | 0.397 | 14.21 | 9.64 | 936 |
[
2,
5,
8,
12
] |
[
"(5×2-8)×12",
"(8+2)×12/5"
] | true | 34.66 | 0.546 | 18.65 | 10.33 | 549 |
[
6,
8,
9,
10
] |
[
"(10-8)×9+6"
] | true | 17.26 | 0.711 | 13.34 | 7.45 | 1,225 |
[
3,
8,
9,
13
] |
[
"9/3+13+8",
"(13-8)×3+9"
] | true | 18.43 | 0.741 | 15.96 | 7.47 | 867 |
[
7,
8,
9,
12
] |
[
"(12+9)×8/7",
"(9+7)×12/8"
] | true | 43.05 | 0.482 | 16.76 | 10.32 | 1,271 |
[
3,
6,
11,
11
] |
[
"6/3+11+11",
"(11/11+3)×6"
] | true | 5.74 | 0.946 | 6.04 | 2.08 | 828 |
[
1,
6,
7,
12
] |
[
"12+7+6-1",
"(7+1-6)×12",
"(12-7-1)×6",
"(7-1)×6-12"
] | true | 5.61 | 0.986 | 6.03 | 2.01 | 273 |
[
4,
6,
6,
8
] |
[
"8+6+6+4",
"8×6-6×4",
"8×6/(6-4)",
"6×6-8-4",
"(6+6)×8/4",
"(6-8/4)×6",
"(4-6/6)×8"
] | true | 7.15 | 0.974 | 7.64 | 2.63 | 986 |
[
2,
2,
3,
13
] |
[
"(13+2-3)×2"
] | true | 8.69 | 0.875 | 8.75 | 3.74 | 362 |
[
1,
1,
1,
12
] |
[
"(1+1)×12×1"
] | true | 4.82 | 0.993 | 5.15 | 1.6 | 2 |
[
1,
1,
2,
8
] |
[
"(2+1)×8×1"
] | true | 4.97 | 0.978 | 5.33 | 1.74 | 6 |
[
1,
8,
8,
10
] |
[
"(10+1-8)×8"
] | true | 7.11 | 0.923 | 7.5 | 3.03 | 311 |
[
2,
5,
9,
10
] |
[
"10×2+9-5"
] | true | 14.94 | 0.781 | 13.46 | 6.36 | 551 |
[
9,
11,
12,
13
] |
[
"(13+9)×12/11"
] | true | 99.38 | 0.289 | 22.82 | 13.58 | 1,333 |
[
10,
11,
11,
13
] |
[
"(13+11)×(11-10)",
"11/11+13+10"
] | true | 6.51 | 0.948 | 6.93 | 2.65 | 1,343 |
[
1,
4,
8,
13
] |
[
"13+8+4-1",
"(13+1-8)×4",
"(13-1)×8/4"
] | true | 6.81 | 0.974 | 7.2 | 2.49 | 215 |
[
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 | 1,039 |
[
1,
1,
4,
9
] |
[
"(9-1)×(4-1)"
] | true | 6.9 | 0.935 | 7.12 | 2.35 | 27 |
[
8,
8,
12,
13
] |
[
"13+12-8/8"
] | true | 7.07 | 0.922 | 7.4 | 2.7 | 1,305 |
[
3,
4,
4,
7
] |
[
"(7+3-4)×4",
"(4/4+7)×3"
] | true | 7.64 | 0.904 | 8.09 | 3.53 | 718 |
[
4,
4,
8,
13
] |
[
"(4×4-13)×8",
"(13-8)×4+4"
] | true | 9.15 | 0.865 | 9.05 | 4.33 | 933 |
[
5,
7,
7,
11
] |
[
"(5-11/7)×7"
] | true | 90.39 | 0.275 | 26.22 | 13.42 | 1,134 |
[
9,
9,
12,
13
] |
[
"13+12-9/9",
"(13-9)×9-12"
] | true | 6.34 | 0.94 | 6.7 | 2.24 | 1,325 |
[
4,
5,
11,
12
] |
[
"(11-5-4)×12",
"12+11+5-4",
"(12+5-11)×4"
] | true | 5.68 | 0.975 | 6.09 | 2.09 | 979 |
[
1,
5,
10,
10
] |
[
"10+10+5-1"
] | true | 6.28 | 0.974 | 6.68 | 2.3 | 256 |
[
1,
1,
4,
7
] |
[
"(7-1)×4×1",
"(7+1)×(4-1)"
] | true | 5.59 | 0.972 | 5.94 | 2.07 | 25 |
[
1,
11,
12,
12
] |
[
"(12+1-11)×12"
] | true | 7.04 | 0.943 | 7.62 | 3.19 | 336 |
[
1,
1,
12,
13
] |
[
"(13+12-1)×1"
] | true | 5.45 | 0.988 | 5.84 | 1.85 | 47 |
[
1,
2,
9,
11
] |
[
"(2+1)×11-9"
] | true | 48.09 | 0.448 | 23.76 | 13.21 | 106 |
[
2,
2,
2,
11
] |
[
"(2/2+11)×2",
"(11+2)×2-2"
] | true | 6.62 | 0.923 | 6.97 | 2.8 | 349 |
[
1,
2,
2,
10
] |
[
"(10-2)×(2+1)",
"(10+2)×2×1",
"(10+1)×2+2"
] | true | 5.73 | 0.965 | 6.11 | 2.16 | 55 |
[
3,
3,
4,
6
] |
[
"6×4+3-3"
] | true | 5.69 | 0.978 | 6.13 | 2.08 | 672 |
[
1,
4,
8,
11
] |
[
"11+8+4+1",
"(11+1)×8/4"
] | true | 7.89 | 0.957 | 8.34 | 2.9 | 213 |
[
1,
3,
3,
5
] |
[
"(5+3)×3×1",
"(3+3)×(5-1)"
] | true | 6.6 | 0.952 | 6.91 | 2.52 | 120 |
[
3,
4,
4,
10
] |
[
"(10-3)×4-4"
] | true | 15.03 | 0.769 | 12.54 | 6.93 | 721 |
[
2,
8,
8,
9
] |
[
"(9+2-8)×8"
] | true | 8.16 | 0.904 | 8.5 | 3.44 | 613 |
[
1,
2,
4,
6
] |
[
"(2-1)×6×4",
"(6+2)×(4-1)"
] | true | 6.5 | 0.96 | 6.92 | 2.54 | 72 |
[
2,
11,
11,
11
] |
[
"(11/11+11)×2"
] | true | 6.21 | 0.897 | 6.28 | 2.49 | 650 |
[
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 | 598 |
[
1,
1,
11,
13
] |
[
"13+11+1-1"
] | true | 5.23 | 0.991 | 5.64 | 1.81 | 45 |
[
4,
6,
10,
11
] |
[
"(11-10)×6×4"
] | true | 5.94 | 0.946 | 6.34 | 2.41 | 1,005 |
[
2,
4,
13,
13
] |
[
"13+13+2-4",
"13+13-4/2"
] | true | 6.94 | 0.959 | 7.48 | 2.76 | 523 |
[
3,
4,
4,
9
] |
[
"9×4-4×3",
"(4-4/3)×9",
"(4+4)×9/3",
"(9-4/4)×3"
] | true | 7.79 | 0.908 | 8.34 | 3.4 | 720 |
[
3,
4,
4,
4
] |
[
"(4+3)×4-4"
] | true | 26.36 | 0.672 | 19.02 | 10.56 | 715 |
[
3,
3,
3,
4
] |
[
"(3×3-3)×4",
"(4+3)×3+3"
] | true | 12.83 | 0.82 | 11.78 | 5.94 | 661 |
[
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 | 533 |
[
2,
3,
10,
12
] |
[
"12×10/(3+2)",
"12×3-10-2",
"(10+2)×3-12",
"10×2+12/3",
"(10×2-12)×3",
"(10/2-3)×12",
"10×3-12/2"
] | true | 11.33 | 0.867 | 11.45 | 4.21 | 465 |
[
3,
3,
4,
13
] |
[
"(13-4)×3-3"
] | true | 15.11 | 0.765 | 12.74 | 7.08 | 678 |
[
5,
9,
10,
10
] |
[
"10+10+9-5"
] | true | 7.32 | 0.929 | 7.75 | 3.15 | 1,164 |
[
3,
7,
8,
12
] |
[
"(7+3-8)×12",
"12+8+7-3",
"12×8/(7-3)",
"(7-12/3)×8"
] | true | 8.24 | 0.951 | 8.77 | 3.27 | 843 |
[
1,
2,
3,
4
] |
[
"(3+2+1)×4",
"4×3×2×1",
"(4+2)×(3+1)"
] | true | 5.16 | 0.992 | 5.51 | 1.83 | 60 |
[
1,
2,
6,
10
] |
[
"(2+1)×10-6",
"(6+1)×2+10",
"(10-1)×2+6",
"(10/2-1)×6"
] | true | 11.01 | 0.867 | 10.99 | 4.99 | 92 |
[
2,
6,
10,
10
] |
[
"10+10+6-2",
"10×2+10-6"
] | true | 7.25 | 0.959 | 7.78 | 3.05 | 585 |
[
1,
4,
5,
11
] |
[
"(11-5)×4×1"
] | true | 8.35 | 0.907 | 8.63 | 4 | 194 |
[
1,
6,
9,
9
] |
[
"(9-1)×(9-6)",
"(9+9+6)×1"
] | true | 6.5 | 0.975 | 6.94 | 2.51 | 280 |
[
2,
2,
3,
10
] |
[
"(10+3)×2-2"
] | true | 36.04 | 0.547 | 18.71 | 10.73 | 359 |
[
2,
4,
10,
13
] |
[
"(13-10)×4×2",
"(13+4)×2-10"
] | true | 8.89 | 0.892 | 9.31 | 4.55 | 519 |
[
3,
3,
4,
11
] |
[
"3×3+11+4",
"(11-4)×3+3"
] | true | 11.13 | 0.885 | 11.18 | 5.5 | 676 |
[
6,
6,
8,
12
] |
[
"8×6×6/12",
"12×6-8×6",
"(8-6)×6+12",
"(12+6)×8/6"
] | true | 9.86 | 0.907 | 10.17 | 4.36 | 1,191 |
[
1,
4,
4,
7
] |
[
"4×4+7+1",
"(7×4-4)×1"
] | true | 6.66 | 0.962 | 7.37 | 3.22 | 182 |
[
1,
2,
10,
12
] |
[
"(12+10+2)×1"
] | true | 6.06 | 0.974 | 6.57 | 2.4 | 110 |
[
4,
4,
4,
9
] |
[
"(9-4)×4+4"
] | true | 8.61 | 0.881 | 8.62 | 4.06 | 904 |
[
3,
8,
11,
12
] |
[
"(12-11)×8×3"
] | true | 6.18 | 0.942 | 6.7 | 2.72 | 872 |
[
1,
4,
6,
13
] |
[
"13+6+4+1",
"(13-6-1)×4",
"(13-1)×(6-4)"
] | true | 6.58 | 0.977 | 7 | 2.35 | 204 |
[
3,
3,
5,
9
] |
[
"(3+3)×(9-5)",
"(5+3)×9/3",
"(9+3)×(5-3)",
"(9/3+5)×3"
] | true | 9.77 | 0.873 | 9.76 | 4.06 | 682 |
[
1,
2,
2,
7
] |
[
"(7-1)×(2+2)",
"(7-1)×2×2"
] | true | 8.47 | 0.918 | 8.8 | 3.37 | 52 |
[
2,
5,
8,
8
] |
[
"8×5-8×2",
"(8×5+8)/2"
] | true | 15.74 | 0.716 | 12.2 | 6.91 | 545 |
[
3,
9,
10,
11
] |
[
"9/3+11+10",
"(10+9-11)×3"
] | true | 7.29 | 0.93 | 7.68 | 2.95 | 882 |
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