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
|
|---|---|---|---|---|---|---|---|
[
3,
4,
5,
7
] |
[
"4×3+7+5",
"(7-5)×4×3",
"(5+3)×(7-4)",
"5×4+7-3",
"(7-3)×5+4",
"(7+5-4)×3"
] | true | 6.86 | 0.967 | 7.38 | 2.69 | 727 |
[
3,
4,
7,
12
] |
[
"7×3+12/4",
"12×7/3-4",
"7×4-12/3",
"12×7/4+3"
] | true | 15.14 | 0.831 | 14.51 | 6.45 | 746 |
[
11,
12,
12,
13
] |
[
"13+12+11-12",
"13×12-12×11"
] | true | 6.89 | 0.972 | 7.5 | 2.72 | 1,355 |
[
1,
1,
2,
9
] |
[
"(9-1)×(2+1)"
] | true | 6.8 | 0.95 | 7.11 | 2.31 | 7 |
[
3,
3,
12,
13
] |
[
"13+12-3/3",
"13×3-12-3"
] | true | 6.84 | 0.934 | 7.28 | 2.68 | 714 |
[
3,
3,
3,
10
] |
[
"10×3-3-3",
"(10-3)×3+3"
] | true | 6.92 | 0.944 | 7.49 | 3.17 | 667 |
[
6,
8,
8,
9
] |
[
"9×8-8×6",
"(8+8)×9/6"
] | true | 20.38 | 0.628 | 12.06 | 7.29 | 1,220 |
[
2,
2,
3,
8
] |
[
"8×3+2-2",
"(8+3)×2+2"
] | true | 5.3 | 0.982 | 5.68 | 1.89 | 357 |
[
1,
9,
12,
12
] |
[
"(12-9-1)×12"
] | true | 6.54 | 0.929 | 6.93 | 2.79 | 329 |
[
4,
4,
4,
5
] |
[
"(4/4+5)×4"
] | true | 8.03 | 0.85 | 8.05 | 3.95 | 900 |
[
4,
8,
10,
11
] |
[
"(10+4-11)×8"
] | true | 7.79 | 0.908 | 8.12 | 3.49 | 1,047 |
[
4,
5,
9,
9
] |
[
"(9/9+5)×4"
] | true | 6.51 | 0.882 | 6.76 | 2.8 | 970 |
[
1,
5,
10,
12
] |
[
"12×10×1/5",
"12/(1-5/10)"
] | true | 6.62 | 0.922 | 7.05 | 3.06 | 258 |
[
5,
5,
5,
9
] |
[
"9+5+5+5"
] | true | 10.32 | 0.875 | 10.07 | 4.21 | 1,073 |
[
2,
2,
4,
13
] |
[
"13×2+2-4",
"(4-2)×13-2",
"13×4/2-2",
"13×2-4/2"
] | true | 8.74 | 0.911 | 9.24 | 4.19 | 372 |
[
4,
6,
7,
10
] |
[
"(6-4)×7+10",
"7×4+6-10",
"(7-4)×10-6",
"(10-6)×7-4"
] | true | 10.32 | 0.869 | 10.46 | 4.88 | 993 |
[
4,
4,
8,
12
] |
[
"12×4×4/8",
"8×4+4-12",
"(4-8/4)×12",
"(12-4)×4-8"
] | true | 11.2 | 0.92 | 11.87 | 5.22 | 932 |
[
1,
3,
5,
10
] |
[
"10×3-5-1",
"5×3+10-1"
] | true | 9.18 | 0.932 | 9.66 | 3.84 | 142 |
[
2,
5,
5,
8
] |
[
"(5/5+2)×8"
] | true | 7.08 | 0.886 | 7.29 | 3.23 | 525 |
[
6,
8,
11,
11
] |
[
"11+11+8-6"
] | true | 7.03 | 0.942 | 7.56 | 3.11 | 1,232 |
[
4,
8,
8,
9
] |
[
"(8+4-9)×8"
] | true | 8.23 | 0.925 | 8.52 | 3.2 | 1,036 |
[
4,
5,
7,
13
] |
[
"(13-5)×(7-4)",
"(13×7+5)/4"
] | true | 16.58 | 0.722 | 13.01 | 6.56 | 963 |
[
12,
12,
12,
13
] |
[
"(12+12)×(13-12)",
"13+12-12/12"
] | true | 5.79 | 0.975 | 6.13 | 2 | 1,359 |
[
2,
3,
6,
7
] |
[
"7×6/2+3",
"7×3+6/2",
"(7×2-6)×3"
] | true | 16.66 | 0.811 | 15.37 | 6.84 | 440 |
[
2,
5,
6,
6
] |
[
"(5×2-6)×6",
"(5-2)×6+6"
] | true | 11.91 | 0.782 | 10.44 | 6.03 | 531 |
[
8,
8,
9,
12
] |
[
"12×8-9×8"
] | true | 25.95 | 0.568 | 13.14 | 7.83 | 1,298 |
[
1,
5,
5,
9
] |
[
"(5+1)×(9-5)"
] | true | 9.05 | 0.886 | 9.18 | 3.72 | 226 |
[
5,
8,
10,
11
] |
[
"11+10+8-5"
] | true | 11.44 | 0.876 | 11.19 | 4.87 | 1,157 |
[
1,
5,
5,
11
] |
[
"(11-5)×(5-1)"
] | true | 9.97 | 0.877 | 10.09 | 4.23 | 228 |
[
6,
6,
6,
12
] |
[
"(6+6)×12/6",
"(6-12/6)×6"
] | true | 9.32 | 0.892 | 9.49 | 4.57 | 1,182 |
[
1,
4,
8,
9
] |
[
"9×8/(4-1)",
"8×4+1-9",
"(9-1)×4-8"
] | true | 12.08 | 0.89 | 12.17 | 5.22 | 212 |
[
1,
2,
4,
13
] |
[
"(13+1)×2-4",
"(13-1)×(4-2)",
"(13-1)×4/2"
] | true | 7.59 | 0.939 | 7.94 | 2.98 | 79 |
[
1,
3,
6,
8
] |
[
"(8-3-1)×6",
"8×6/(3-1)",
"(6-3)×8×1",
"(6/3+1)×8"
] | true | 6.01 | 0.958 | 6.45 | 2.55 | 148 |
[
4,
4,
7,
12
] |
[
"(12-4)×(7-4)",
"(7-4)×4+12",
"(12-7)×4+4"
] | true | 8.69 | 0.895 | 8.97 | 4.17 | 926 |
[
3,
3,
4,
5
] |
[
"(3/3+5)×4",
"(5-3)×4×3",
"(5+4)×3-3"
] | true | 7.45 | 0.94 | 7.9 | 3.25 | 671 |
[
4,
8,
13,
13
] |
[
"13+13-8/4",
"(4-13/13)×8"
] | true | 6.05 | 0.946 | 6.31 | 1.96 | 1,054 |
[
4,
4,
4,
8
] |
[
"8×4-4-4",
"(4+4)×4-8",
"(4-4/4)×8",
"(8/4+4)×4"
] | true | 6.89 | 0.963 | 7.49 | 2.9 | 903 |
[
3,
4,
10,
10
] |
[
"10×3+4-10"
] | true | 15.18 | 0.755 | 13.27 | 6.28 | 756 |
[
1,
3,
4,
9
] |
[
"(4+1)×3+9",
"(9-3)×4×1",
"9×3+1-4",
"(4-1)×9-3"
] | true | 8.4 | 0.946 | 8.94 | 3.86 | 133 |
[
4,
8,
8,
8
] |
[
"(8-4)×8-8",
"8×8/4+8",
"(4-8/8)×8"
] | true | 6.87 | 0.945 | 7.27 | 2.8 | 1,035 |
[
2,
2,
12,
13
] |
[
"13+12-2/2"
] | true | 7.02 | 0.926 | 7.33 | 2.67 | 408 |
[
3,
7,
12,
12
] |
[
"(12-7-3)×12",
"(12×7-12)/3",
"(12/12+7)×3"
] | true | 8.05 | 0.912 | 8.44 | 3.54 | 855 |
[
2,
4,
8,
9
] |
[
"(9-4-2)×8"
] | true | 10.39 | 0.835 | 10.03 | 4.55 | 507 |
[
5,
5,
7,
7
] |
[
"7+7+5+5",
"7×7-5×5",
"5×5-7/7",
"(7+5)×(7-5)"
] | true | 5.66 | 0.979 | 6.01 | 1.93 | 1,079 |
[
2,
4,
7,
11
] |
[
"11+7+4+2",
"(4+2)×(11-7)",
"(11+2-7)×4"
] | true | 8.68 | 0.926 | 9.08 | 3.86 | 504 |
[
3,
8,
8,
9
] |
[
"(9-8)×8×3",
"(9-8/8)×3"
] | true | 6.94 | 0.958 | 7.29 | 2.55 | 859 |
[
2,
2,
2,
9
] |
[
"(9+2)×2+2"
] | true | 14.13 | 0.757 | 11.48 | 6.62 | 347 |
[
2,
2,
6,
11
] |
[
"(11-2)×2+6"
] | true | 26.25 | 0.622 | 19.02 | 8.98 | 386 |
[
1,
1,
1,
8
] |
[
"(1+1+1)×8"
] | true | 4.46 | 0.988 | 4.66 | 1.25 | 0 |
[
2,
2,
3,
11
] |
[
"(11+3-2)×2"
] | true | 9.31 | 0.861 | 9.3 | 4.21 | 360 |
[
7,
10,
10,
11
] |
[
"11+10+10-7"
] | true | 7.38 | 0.937 | 7.72 | 2.98 | 1,287 |
[
2,
4,
4,
6
] |
[
"(4×2-4)×6",
"4×4+6+2",
"(4+4)×6/2",
"(6+4)×2+4"
] | true | 11.54 | 0.901 | 11.89 | 4.82 | 475 |
[
5,
9,
11,
13
] |
[
"(11-5)×(13-9)"
] | true | 23.56 | 0.613 | 16.85 | 7.77 | 1,167 |
[
7,
10,
12,
12
] |
[
"(10-7)×12-12",
"12×10/(12-7)"
] | true | 7.8 | 0.847 | 7.89 | 3.92 | 1,290 |
[
4,
6,
6,
12
] |
[
"(6-4)×6+12",
"12×6/4+6"
] | true | 12.19 | 0.86 | 11.97 | 6.04 | 989 |
[
4,
5,
8,
9
] |
[
"(9+5-8)×4",
"(9-5)×4+8"
] | true | 8.12 | 0.894 | 8.53 | 4.16 | 965 |
[
3,
11,
11,
12
] |
[
"(3-11/11)×12"
] | true | 6.29 | 0.915 | 6.53 | 2.23 | 894 |
[
3,
5,
10,
10
] |
[
"(10-10/5)×3"
] | true | 27.46 | 0.54 | 13.48 | 7.51 | 792 |
[
1,
3,
10,
11
] |
[
"11×3+1-10",
"(11+10+3)×1"
] | true | 7.05 | 0.963 | 7.7 | 3.16 | 172 |
[
2,
3,
7,
10
] |
[
"10×2+7-3",
"(10×7+2)/3"
] | true | 17.64 | 0.77 | 15.37 | 7.02 | 450 |
[
1,
3,
3,
10
] |
[
"(10+1-3)×3",
"(10-1)×3-3"
] | true | 9.05 | 0.901 | 9.22 | 4.14 | 125 |
[
5,
5,
11,
13
] |
[
"13+11+5-5"
] | true | 6.22 | 0.963 | 6.88 | 2.62 | 1,097 |
[
2,
5,
5,
13
] |
[
"(13-5)×(5-2)",
"(5×5-13)×2",
"(13-5/5)×2"
] | true | 7.02 | 0.923 | 7.46 | 2.86 | 530 |
[
3,
3,
12,
12
] |
[
"12×12/(3+3)",
"12+12+3-3",
"(12-12/3)×3"
] | true | 5.4 | 0.988 | 5.88 | 2.04 | 713 |
[
1,
2,
6,
8
] |
[
"(6-2-1)×8",
"8×6×1/2",
"(8+1)×2+6"
] | true | 6.15 | 0.961 | 6.49 | 2.36 | 90 |
[
8,
10,
12,
12
] |
[
"(12+8)×12/10",
"12×10-12×8"
] | true | 20.55 | 0.633 | 11.9 | 7.62 | 1,316 |
[
1,
4,
4,
6
] |
[
"(6+1)×4-4",
"(6-1)×4+4"
] | true | 15.95 | 0.797 | 13.98 | 6.92 | 181 |
[
3,
7,
7,
12
] |
[
"(3-7/7)×12"
] | true | 6.63 | 0.902 | 6.81 | 2.61 | 838 |
[
2,
3,
3,
8
] |
[
"(3×2-3)×8",
"(3-2)×8×3",
"(3+3)×8/2",
"(3/3+2)×8"
] | true | 5.62 | 0.97 | 6 | 1.96 | 414 |
[
1,
5,
9,
9
] |
[
"9+9+5+1"
] | true | 7.41 | 0.944 | 7.9 | 3.23 | 251 |
[
1,
2,
3,
13
] |
[
"13×2+1-3",
"(3-1)×13-2"
] | true | 10.8 | 0.915 | 11.16 | 4.86 | 69 |
[
1,
3,
4,
7
] |
[
"7×4-3-1",
"(3+1)×7-4",
"7×3+4-1",
"(4-1)×7+3"
] | true | 8.9 | 0.951 | 9.73 | 3.97 | 131 |
[
1,
7,
9,
10
] |
[
"(9-1)×(10-7)"
] | true | 10.1 | 0.869 | 9.98 | 3.97 | 300 |
[
5,
5,
8,
12
] |
[
"(5+5-8)×12"
] | true | 12.1 | 0.794 | 11.1 | 5.12 | 1,087 |
[
1,
9,
11,
11
] |
[
"(11+1)×(11-9)"
] | true | 7.77 | 0.901 | 7.97 | 3.09 | 326 |
[
9,
10,
12,
13
] |
[
"13+12+9-10"
] | true | 8.3 | 0.935 | 8.87 | 3.64 | 1,330 |
[
6,
7,
10,
13
] |
[
"13+10+7-6",
"(13-7)×(10-6)",
"(10+7-13)×6"
] | true | 7.07 | 0.967 | 7.62 | 2.81 | 1,213 |
[
2,
4,
6,
13
] |
[
"13×2+4-6",
"(6-4)×13-2",
"(13-4)×2+6",
"4/(13/6-2)"
] | true | 10.06 | 0.872 | 10.26 | 5.09 | 499 |
[
3,
7,
9,
9
] |
[
"(9+3)×(9-7)",
"(9×7+9)/3",
"(9/9+7)×3"
] | true | 6.52 | 0.91 | 6.96 | 2.86 | 845 |
[
2,
2,
4,
5
] |
[
"5×4+2+2",
"(2+2)×5+4",
"5×4+2×2",
"5×2×2+4",
"(2/2+5)×4",
"(5-2)×4×2"
] | true | 6.25 | 0.983 | 6.61 | 2.08 | 364 |
[
2,
4,
6,
9
] |
[
"(9-6)×4×2",
"(4-2)×9+6",
"9×4/2+6",
"9×4-6×2",
"(9-6/2)×4",
"(4/6+2)×9",
"6/(9/4-2)"
] | true | 8.66 | 0.921 | 9.16 | 4.15 | 495 |
[
9,
9,
11,
12
] |
[
"9/9+12+11",
"(12-9)×11-9"
] | true | 5.64 | 0.94 | 5.99 | 2.14 | 1,322 |
[
1,
11,
13,
13
] |
[
"(13-1)×(13-11)",
"(11/13+1)×13"
] | true | 8.79 | 0.913 | 9.1 | 3.85 | 338 |
[
2,
3,
4,
5
] |
[
"(5+3-2)×4",
"(5+4+3)×2"
] | true | 11.5 | 0.844 | 11.11 | 5.56 | 421 |
[
1,
3,
8,
12
] |
[
"12+8+3+1",
"12×8/(3+1)",
"(12/3-1)×8"
] | true | 7.72 | 0.967 | 8.22 | 2.9 | 164 |
[
1,
1,
4,
10
] |
[
"(1+1)×10+4"
] | true | 9.67 | 0.847 | 9.43 | 5.1 | 28 |
[
2,
4,
10,
10
] |
[
"(4/10+2)×10"
] | true | 116.36 | 0.26 | 30.52 | 19.71 | 516 |
[
1,
4,
5,
10
] |
[
"(10+1-5)×4",
"(10-4)×(5-1)"
] | true | 8.97 | 0.914 | 9.16 | 3.67 | 193 |
[
3,
6,
6,
13
] |
[
"(13-6-3)×6",
"(13×6-6)/3"
] | true | 15.47 | 0.727 | 12.46 | 6.72 | 808 |
[
4,
6,
8,
12
] |
[
"(6+4-8)×12",
"8×6/4+12",
"(8+4)×12/6",
"(12-6)×(8-4)",
"12×4/(8-6)",
"(6-12/4)×8",
"(8-12/6)×4"
] | true | 8.29 | 0.942 | 8.94 | 3.55 | 998 |
[
1,
3,
9,
12
] |
[
"(3+1)×9-12",
"(12-1)×3-9",
"(12+9+3)×1",
"(9/3-1)×12"
] | true | 6.14 | 0.965 | 6.57 | 2.41 | 169 |
[
4,
4,
4,
11
] |
[
"(11-4)×4-4"
] | true | 8.69 | 0.863 | 8.87 | 4.6 | 906 |
[
2,
11,
11,
13
] |
[
"11×2+13-11",
"(11+11)/2+13",
"(13-11/11)×2",
"(13-11)×11+2"
] | true | 6.83 | 0.951 | 7.36 | 2.84 | 652 |
[
1,
3,
10,
12
] |
[
"12+10+3-1"
] | true | 7.13 | 0.965 | 7.6 | 2.74 | 173 |
[
2,
4,
10,
12
] |
[
"(10-4×2)×12",
"12+10+4-2",
"4/2+12+10",
"(10-2)×12/4",
"(10-4)×2+12",
"12/(10/4-2)"
] | true | 7.43 | 0.966 | 8.1 | 3.22 | 518 |
[
5,
6,
7,
8
] |
[
"(7+5)×(8-6)",
"(7+5-8)×6",
"8×6/(7-5)"
] | true | 7.87 | 0.938 | 8.33 | 3.14 | 1,108 |
[
4,
5,
12,
13
] |
[
"13+12+4-5",
"(13-5)×12/4",
"(13+5-12)×4"
] | true | 5.92 | 0.977 | 6.44 | 2.16 | 982 |
[
2,
4,
5,
13
] |
[
"13+5+4+2",
"(13-5-2)×4",
"(13+4-5)×2"
] | true | 7.79 | 0.947 | 8.37 | 3.35 | 491 |
[
1,
2,
4,
7
] |
[
"(7+1-2)×4",
"(7+4+1)×2"
] | true | 10.41 | 0.891 | 10.73 | 5.06 | 73 |
[
5,
7,
9,
13
] |
[
"13+9+7-5",
"(13-7)×(9-5)"
] | true | 9.95 | 0.911 | 10.37 | 4.02 | 1,141 |
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