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,
6,
6,
9
] |
[
"9×6-6×5"
] | true | 26.19 | 0.595 | 14.88 | 9.1 | 1,104 |
[
1,
4,
7,
7
] |
[
"(7+1)×(7-4)"
] | true | 11.67 | 0.853 | 11.52 | 4.79 | 205 |
[
1,
1,
6,
6
] |
[
"(6+6)×(1+1)",
"(6-1-1)×6"
] | true | 6.11 | 0.974 | 6.54 | 2.21 | 34 |
[
3,
5,
6,
12
] |
[
"(5+3-6)×12",
"(12-5-3)×6",
"(5-3)×6+12"
] | true | 7.67 | 0.934 | 8.19 | 3.29 | 775 |
[
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 | 508 |
[
10,
10,
12,
13
] |
[
"13+12-10/10"
] | true | 7.21 | 0.923 | 7.49 | 2.61 | 1,341 |
[
1,
2,
6,
9
] |
[
"(9-1)×6/2",
"(9×2+6)×1"
] | true | 7.96 | 0.945 | 8.55 | 3.6 | 91 |
[
3,
12,
12,
13
] |
[
"(12+3-13)×12"
] | true | 8.07 | 0.925 | 8.47 | 3.32 | 897 |
[
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 | 564 |
[
3,
5,
6,
13
] |
[
"(13-5)×(6-3)"
] | true | 13.62 | 0.76 | 11.75 | 5.82 | 776 |
[
1,
5,
7,
10
] |
[
"7×5-10-1",
"(7/5+1)×10"
] | true | 20.8 | 0.697 | 16.68 | 7.9 | 241 |
[
1,
1,
3,
5
] |
[
"(5+1)×(3+1)"
] | true | 6.92 | 0.954 | 7.24 | 2.32 | 13 |
[
1,
8,
9,
12
] |
[
"(12-9)×8×1",
"(9+1-8)×12",
"8/(12/9-1)"
] | true | 5.54 | 0.964 | 5.88 | 1.97 | 315 |
[
2,
7,
8,
11
] |
[
"(7×2-11)×8",
"11+8+7-2",
"(8-2)×(11-7)",
"(11+8-7)×2"
] | true | 8.23 | 0.949 | 8.76 | 3.58 | 600 |
[
2,
2,
6,
12
] |
[
"(12-6)×(2+2)",
"(6-2-2)×12",
"(12-6)×2×2",
"(6-2×2)×12",
"(6-2)×12/2",
"(12/2-2)×6",
"(12/2+6)×2"
] | true | 8.01 | 0.941 | 8.59 | 3.57 | 387 |
[
8,
8,
9,
11
] |
[
"9×8/(11-8)",
"(11-9)×8+8"
] | true | 7.27 | 0.894 | 7.82 | 3.81 | 1,297 |
[
1,
3,
9,
9
] |
[
"(9-1)×9/3"
] | true | 10.78 | 0.848 | 10.33 | 4.14 | 166 |
[
3,
7,
8,
8
] |
[
"(7-3)×8-8",
"(8-7)×8×3",
"(8/8+7)×3"
] | true | 5.64 | 0.963 | 6.03 | 2.05 | 840 |
[
1,
1,
3,
12
] |
[
"(3-1)×12×1"
] | true | 5.02 | 0.975 | 5.37 | 1.83 | 20 |
[
2,
10,
11,
11
] |
[
"(11+11-10)×2"
] | true | 9.39 | 0.862 | 9.37 | 4.07 | 646 |
[
5,
8,
9,
11
] |
[
"(8-5)×11-9",
"(9+5-11)×8",
"(11-8)×5+9"
] | true | 8.44 | 0.897 | 8.73 | 3.84 | 1,154 |
[
3,
6,
12,
12
] |
[
"(6-3)×12-12",
"(12-6)×12/3",
"(6-12/3)×12",
"(12/12+3)×6"
] | true | 7.8 | 0.931 | 8.36 | 3.55 | 831 |
[
7,
8,
8,
11
] |
[
"(11-7)×8-8"
] | true | 8.89 | 0.809 | 8.38 | 4.53 | 1,267 |
[
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 | 562 |
[
9,
10,
10,
13
] |
[
"13+10+10-9"
] | true | 7.61 | 0.953 | 8.04 | 3.09 | 1,326 |
[
3,
3,
6,
6
] |
[
"(6/3+6)×3"
] | true | 30.23 | 0.575 | 14.99 | 9.07 | 686 |
[
4,
5,
7,
7
] |
[
"7×5-7-4",
"(7/7+5)×4"
] | true | 6.93 | 0.911 | 7.53 | 3.6 | 957 |
[
1,
4,
5,
6
] |
[
"6/(5/4-1)",
"4/(1-5/6)"
] | true | 193.11 | 0.287 | 19.49 | 12.95 | 189 |
[
4,
5,
10,
11
] |
[
"10×4-11-5",
"(11+5-10)×4"
] | true | 8.06 | 0.881 | 8.5 | 4.35 | 975 |
[
3,
3,
7,
13
] |
[
"(7×3-13)×3"
] | true | 94.36 | 0.273 | 33.82 | 19.64 | 699 |
[
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 | 510 |
[
5,
5,
7,
11
] |
[
"(7-11/5)×5"
] | true | 93.75 | 0.266 | 27.68 | 14.77 | 1,082 |
[
2,
4,
4,
5
] |
[
"(5+2)×4-4",
"(5×2-4)×4",
"(4+4)×(5-2)"
] | true | 12.55 | 0.818 | 11.63 | 5.34 | 474 |
[
3,
7,
12,
13
] |
[
"(13-7)×12/3",
"12/3+13+7",
"(13+7-12)×3"
] | true | 7.19 | 0.939 | 7.68 | 3.11 | 856 |
[
3,
4,
8,
9
] |
[
"9+8+4+3",
"(4×3-9)×8",
"(9+3)×8/4",
"(9-3)×(8-4)"
] | true | 12.51 | 0.881 | 12.57 | 5.16 | 747 |
[
1,
5,
9,
10
] |
[
"(10+9+5)×1"
] | true | 8.35 | 0.931 | 8.83 | 3.87 | 252 |
[
1,
1,
3,
13
] |
[
"(13-1)×(3-1)"
] | true | 6.02 | 0.953 | 6.37 | 2.13 | 21 |
[
10,
10,
10,
13
] |
[
"10/10+13+10"
] | true | 6.46 | 0.93 | 6.9 | 3.01 | 1,337 |
[
2,
3,
8,
13
] |
[
"(13+3)×2-8"
] | true | 100.37 | 0.316 | 24.58 | 13.57 | 459 |
[
6,
6,
7,
10
] |
[
"(10-7)×6+6"
] | true | 8.05 | 0.841 | 8.08 | 4.22 | 1,184 |
[
1,
6,
8,
10
] |
[
"(10-6-1)×8",
"(10+8+6)×1",
"6/(10/8-1)"
] | true | 6.65 | 0.973 | 7.09 | 2.43 | 276 |
[
4,
5,
6,
12
] |
[
"(6+4)×12/5"
] | true | 59.96 | 0.439 | 22.08 | 16.11 | 955 |
[
6,
7,
11,
12
] |
[
"(7+6-11)×12",
"12+11+7-6",
"(12-6)×(11-7)"
] | true | 6.36 | 0.97 | 6.9 | 2.62 | 1,215 |
[
2,
2,
6,
10
] |
[
"6×2+10+2",
"10×2+6-2",
"(10-2)×6/2"
] | true | 8.38 | 0.954 | 8.81 | 3.08 | 385 |
[
3,
6,
6,
10
] |
[
"(6-3)×10-6"
] | true | 40.65 | 0.501 | 19.28 | 11.18 | 805 |
[
2,
2,
2,
4
] |
[
"(4+2)×(2+2)",
"(2+2+2)×4",
"(4+2)×2×2",
"(2×2+2)×4"
] | true | 6.8 | 0.961 | 7.15 | 2.49 | 343 |
[
3,
5,
6,
6
] |
[
"(6+3-5)×6",
"(6+6)×(5-3)"
] | true | 8.25 | 0.921 | 8.79 | 3.63 | 769 |
[
9,
11,
12,
12
] |
[
"12×11-12×9"
] | true | 21.38 | 0.593 | 11.02 | 6.56 | 1,332 |
[
1,
3,
4,
6
] |
[
"6/(1-3/4)"
] | true | 209.67 | 0.268 | 20.65 | 13.17 | 130 |
[
3,
8,
11,
11
] |
[
"8×3+11-11",
"(11-3)×(11-8)"
] | true | 5.38 | 0.963 | 5.74 | 2.05 | 871 |
[
5,
6,
10,
11
] |
[
"(10+5-11)×6",
"(11-5)×(10-6)"
] | true | 7.91 | 0.905 | 8.27 | 3.58 | 1,123 |
[
1,
2,
5,
13
] |
[
"(13-5)×(2+1)",
"5×2+13+1"
] | true | 8.7 | 0.944 | 9.2 | 3.61 | 87 |
[
1,
10,
10,
12
] |
[
"(10/10+1)×12"
] | true | 6.04 | 0.926 | 6.27 | 2.12 | 330 |
[
6,
9,
9,
11
] |
[
"(9-6)×11-9",
"(11-9)×9+6"
] | true | 10.63 | 0.825 | 9.98 | 5.16 | 1,238 |
[
2,
3,
10,
13
] |
[
"13+10+3-2",
"(13-10/2)×3"
] | true | 8.63 | 0.936 | 9.12 | 3.96 | 466 |
[
1,
3,
3,
6
] |
[
"(6+3-1)×3",
"(6+1)×3+3"
] | true | 12.17 | 0.872 | 12.15 | 5.28 | 121 |
[
4,
8,
9,
12
] |
[
"9×8×4/12",
"(8-4)×9-12",
"9×8-12×4"
] | true | 19.77 | 0.727 | 16.96 | 7.19 | 1,044 |
[
5,
5,
11,
11
] |
[
"5×5-11/11"
] | true | 7.21 | 0.858 | 7.47 | 3.47 | 1,095 |
[
5,
6,
12,
13
] |
[
"(13-6-5)×12",
"13+12+5-6",
"(12+5-13)×6"
] | true | 6.1 | 0.975 | 6.51 | 2.17 | 1,130 |
[
8,
8,
8,
11
] |
[
"11×8-8×8"
] | true | 18.2 | 0.632 | 10.83 | 6.35 | 1,294 |
[
3,
8,
8,
10
] |
[
"(10×8-8)/3"
] | true | 93.37 | 0.292 | 27.55 | 17.63 | 860 |
[
5,
6,
11,
11
] |
[
"(5-11/11)×6"
] | true | 7.19 | 0.871 | 7.44 | 3.33 | 1,126 |
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