Problem: A sum of several measurements taken along the edge of a plot of land totals to 368 miles. The individual measurements are 41 miles, 28 miles, 90 miles, 32 miles, 10 miles, and 98 miles. What is the remaining measurement that hasn't been included in the total yet?

DeepSeek 67B:

Reasoning:
The total of the measurements given is 41 + 28 + 90 + 32 + 10 + 98 = 299 miles.
The remaining measurement that hasn't been included in the total yet is 368 - 299 = 69 miles.
### Answer: 69

Expected answer: 69

Correct? Yes

Problem: A regular pentagon has side lengths of 70cm, 36cm, 53cm, and 45cm. If the total perimeter of the pentagon is 300cm, what is the length of its fifth side?

DeepSeek 67B:

Reasoning:
The sum of the lengths of the four given sides is 70 + 36 + 53 + 45 = 204 cm.
If the total perimeter of the pentagon is 300 cm, then the length of the fifth side can be found by subtracting the sum of the lengths of the four given sides from the total perimeter:
300 - 204 = 96 cm.
Therefore, the length of the fifth side is 96 cm.
The answer is: 96

Expected answer: 96

Correct? Yes

Problem: A regular nonagon (9-sided polygon) has side lengths of 14cm, 94cm, 3cm, 20cm, 57cm, 83cm, 96cm, and 85cm. If the perimeter of the nonagon is 521cm, what is the length of the ninth side?

DeepSeek 67B:

Reasoning:
The perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter of the nonagon is 521cm. We know the lengths of 8 sides, so we can find the length of the ninth side by subtracting the sum of the known side lengths from the perimeter.

Let's add up the lengths of the known sides:
14cm + 94cm + 3cm + 20cm + 57cm + 83cm + 96cm + 85cm = 502cm

Now, subtract this sum from the perimeter to find the length of the ninth side:
521cm - 502cm = 19cm

The length of the ninth side is 19cm.

Expected answer: 69

Correct? No

Problem: A polygon has sides measuring 54cm, 51cm, 5cm, 22cm, and 93cm. If the total perimeter of the polygon is 274cm, what is the length of the sixth side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is the sum of all its sides. We know the lengths of five sides, so we can find the length of the sixth side by subtracting the sum of the known sides from the total perimeter.

Let's denote the length of the sixth side as x.

Total perimeter = 274cm
Length of the known sides = 54cm + 51cm + 5cm + 22cm + 93cm = 225cm

Now, we can set up the equation:

Total perimeter - Length of the known sides = Length of the sixth side
274cm - 225cm = x

Solving for x:

x = 49cm

The length of the sixth side is 49cm.
### Answer: 49

Expected answer: 49

Correct? Yes

Problem: A regular pentagon has a perimeter of 310 m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular pentagon has five equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 310 m / 5 = <<310/5=62>>62 m.
### Answer: 62

Expected answer: 62

Correct? Yes

Problem: A polygon has side lengths of 78cm, 93cm, 21cm, 4cm, and 21cm. If the total perimeter of the shape is 315cm, then what is the length of the last side?

DeepSeek 67B:

Reasoning:
Let's denote the length of the last side as x. We know that the sum of all side lengths is equal to the total perimeter of the shape. Therefore, we can write the equation as:

78cm + 93cm + 21cm + 4cm + 21cm + x = 315cm

Solving the equation:

257cm + x = 315cm

Subtracting 257cm from both sides:

x = 315cm - 257cm

x = 58cm

The length of the last side is 58cm.

### Answer: 58

Expected answer: 98

Correct? No

Problem: A regular 8-sided polygon, an octagon, has a perimeter of 160m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of each side, we can divide the total perimeter by the number of sides.

Solution:
The length of each side is 160m / 8 = <<160/8=20>>20m.
### Answer: 20

Expected answer: 20

Correct? Yes

Problem: Consider an octagon. Its seven sides have lengths 6cm, 4cm, 95cm, 34cm, 19cm, 14cm, and 26cm. What is the length of the other side if the total perimeter of the octagon is 224cm?

DeepSeek 67B:

Reasoning:
The total perimeter of the octagon is the sum of the lengths of all its sides. We know the lengths of seven sides, so we can find the length of the eighth side by subtracting the sum of the known sides from the total perimeter.

Let's denote the length of the unknown side as x.

Total perimeter = 224cm
Length of known sides = 6cm + 4cm + 95cm + 34cm + 19cm + 14cm + 26cm = 234cm

Now, we can set up the equation:

Total perimeter - Length of known sides = Length of unknown side
224cm - 234cm = x

Solving for x:

x = -10cm

However, the length of a side cannot be negative. This means there is an error in the given information. The sum of the lengths of the known sides (234cm) is greater than the total perimeter (224cm), which is not possible for an octagon. Please check the given information and try again.

Expected answer: 26

Correct? No

Problem: A regular hexagon has a perimeter of 174 meters. If all sides are equal, what is the length of one side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side is 174 meters / 6 = <<174/6=29>>29 meters.
### Answer: 29

Expected answer: 29

Correct? Yes

Problem: A dodecagon has side lengths of 65cm, 22cm, 32cm, 31cm, 78cm, 88cm, 7cm, 29cm, 36cm, and 54cm. The total perimeter of the dodecagon is 538cm. What is the length of the 11th side?

DeepSeek 67B:

Reasoning:
The sum of the lengths of the 10 sides given is 65 + 22 + 32 + 31 + 78 + 88 + 7 + 29 + 36 + 54 = 474 cm.
The total perimeter of the dodecagon is 538 cm.
To find the length of the 11th side, we subtract the sum of the lengths of the 10 sides from the total perimeter: 538 - 474 = 64 cm.
The length of the 11th side is 64 cm.
### Answer: 64

Expected answer: 96

Correct? No

Problem: A hexagon has five side lengths of 61 cm, 84 cm, 80 cm, 11 cm, and 71 cm. What should be the length of the last side so that the sum of lengths of all sides is 357 cm?

DeepSeek 67B:

Reasoning:
The sum of the lengths of the five given sides is 61 + 84 + 80 + 11 + 71 = 307 cm.
To find the length of the last side, we subtract the sum of the given side lengths from the total sum of all sides:
357 cm - 307 cm = 50 cm.
The length of the last side should be 50 cm.
### Answer: 50

Expected answer: 50

Correct? Yes

Problem: A regular octagon has a perimeter of 544m. What is the length of one side?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side is 544m / 8 = <<544/8=68>>68m.
### Answer: 68

Expected answer: 68

Correct? Yes

Problem: The perimeter of a regular decagon (10-sided polygon) is 960m. Find the length of one side.

DeepSeek 67B:

Reasoning:
The perimeter of a polygon is the sum of the lengths of all its sides. In a regular polygon, all sides are of equal length. Therefore, to find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side of the decagon is 960m / 10 = 96m.
### Answer: 96

Expected answer: 96

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has an unknown side length. If its total perimeter is 203m, how long is each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has 7 equal sides. To find the length of each side, we can divide the total perimeter by the number of sides.

Solution:
The length of each side is 203m / 7 = <<203/7=29>>29m.
### Answer: 29

Expected answer: 29

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 49 meters. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has equal side lengths. Let's denote the length of each side as s.
The perimeter of a regular heptagon is the sum of the lengths of all its sides.
So, the perimeter of the given heptagon is 7s.
We are given that the perimeter is 49 meters.
Therefore, 7s = 49.

Solution:
Divide both sides of the equation by 7:
s = 49/7 = 7.

The length of each side of the heptagon is 7 meters.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: The perimeter of a regular heptagon is 329m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has 7 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 329m / 7 = <<329/7=47>>47m.
### Answer: 47

Expected answer: 47

Correct? Yes

Problem: The sides of a heptagon have lengths of 86m, 80m, 47m, 93m, and 99m. If the total perimeter of the heptagon is 486m, what is the length of the sixth side?

DeepSeek 67B:

Reasoning:
The sum of the lengths of the given sides is 86m + 80m + 47m + 93m + 99m = 405m.
The total perimeter of the heptagon is 486m.
To find the length of the sixth side, we subtract the sum of the given sides from the total perimeter:
486m - 405m = 81m.
Therefore, the length of the sixth side is 81m.
### Answer: 81

Expected answer: 81

Correct? Yes

Problem: A regular heptagon has a perimeter of 546m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has 7 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 546m / 7 = <<546/7=78>>78m.
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A nonagon (nine-sided polygon) has 8 of its sides with lengths 26cm, 45cm, 75cm, 68cm, 63cm, 80cm, and 100cm, respectively. If the perimeter of the nonagon is 532cm, what is the length of the ninth side?

DeepSeek 67B:

Reasoning:
The perimeter of a polygon is the sum of the lengths of all its sides. In this case, the perimeter of the nonagon is 532cm. We know the lengths of 8 sides, so we can find the length of the ninth side by subtracting the sum of the known side lengths from the perimeter.

Let's first find the sum of the known side lengths:
26cm + 45cm + 75cm + 68cm + 63cm + 80cm + 100cm = 457cm

Now, subtract the sum of the known side lengths from the perimeter to find the length of the ninth side:
532cm - 457cm = 75cm

The length of the ninth side is 75cm.
### Answer: 75

Expected answer: 75

Correct? Yes

Problem: The sides of a decagon are 62m, 76m, 98m, 74m, another unknown side, 54m, 4m, 24m, and 48m respectively. All sides are equal in length. If the perimeter of the shape is 452m, what is the length of the unknown side?

DeepSeek 67B:

Reasoning:
The perimeter of a decagon is the sum of all its sides. In this case, the perimeter is 452m.
We know the lengths of 8 sides, and the 9th side is unknown.
Let's denote the unknown side as x.
The sum of all the known sides is 62m + 76m + 98m + 74m + 54m + 4m + 24m + 48m = 436m.
The sum of all the sides, including the unknown side, is 452m.
We can set up the equation as follows:
Sum of known sides + Unknown side = Perimeter of the decagon
436m + x = 452m
Let's solve for x:
x = 452m - 436m
x = 16m
The length of the unknown side is 16m.
### Answer: 16

Expected answer: 12

Correct? No

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 78m / 6 = <<78/6=13>>13m.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: A regular nonagon has a perimeter of 171m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A nonagon is a polygon with 9 sides.
The perimeter of a polygon is the sum of the lengths of its sides.
So, if we divide the perimeter by the number of sides, we get the length of each side.

Solution:
The length of each side is 171m / 9 = <<171/9=19>>19m.
### Answer: 19

Expected answer: 19

Correct? Yes

Problem: A nonagon has the following side lengths: 8 cm, 17 cm, 30 cm, 17 cm, 86 cm, 55cm, and 68cm. It also has one unknown side length. The overall perimeter of the nonagon is 318 cm. What is the length of the unknown side?

DeepSeek 67B:

Reasoning:
The sum of the known side lengths is 8 + 17 + 30 + 17 + 86 + 55 + 68 = 273 cm.
The overall perimeter of the nonagon is 318 cm.
Therefore, the length of the unknown side is 318 - 273 = 45 cm.
### Answer: 45

Expected answer: 37

Correct? No

Problem: An 11-sided regular polygon has a perimeter of 858m. What is the length of each side?

DeepSeek 67B:

Reasoning:
An 11-sided regular polygon is called an "hendecagon".
The perimeter of a polygon is the sum of the lengths of its sides.
So, if we divide the perimeter by the number of sides, we get the length of each side.

Solution:
The length of each side is 858m / 11 = 78m.
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A regular decagon has a perimeter of 360m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular decagon has 10 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 360m / 10 = 36m.
### Answer: 36

Expected answer: 36

Correct? Yes

Problem: A regular hexagon has a perimeter of 522m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 522m / 6 = <<522/6=87>>87m.
### Answer: 87

Expected answer: 87

Correct? Yes

Problem: A regular polygon has a perimeter of 418m. If each side is the same length, what is the length of each side? Assume the polygon has 11 sides.

DeepSeek 67B:

Reasoning:
The perimeter of a polygon is the sum of the lengths of all its sides. Since the polygon has 11 sides, we can divide the total perimeter by the number of sides to find the length of each side.

Length of each side = Perimeter / Number of sides
Length of each side = 418m / 11

Calculating the length of each side:
Length of each side = 38m

Answer: The length of each side is 38m.

Expected answer: 38

Correct? Yes

Problem: A polygon has side lengths of 56m, 73m, 39m, 24m, and 26m. If the total perimeter of the polygon is 278m, what is the length of the sixth side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is the sum of all its side lengths. We know the lengths of five sides, so we can find the length of the sixth side by subtracting the sum of the known side lengths from the total perimeter.

Let's denote the length of the sixth side as x.

Total perimeter = 278m
Lengths of known sides = 56m, 73m, 39m, 24m, and 26m

Total length of known sides = 56m + 73m + 39m + 24m + 26m = 218m

Now, we can find the length of the sixth side (x) by subtracting the total length of known sides from the total perimeter:

x = 278m - 218m = 60m

So, the length of the sixth side is 60m.

### Answer: 60

Expected answer: 60

Correct? Yes

Problem: A regular pentagon has a perimeter of 385cm. How long is each side?

DeepSeek 67B:

Reasoning:
A regular pentagon has 5 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 385cm / 5 = <<385/5=77>>77cm.
### Answer: 77

Expected answer: 77

Correct? Yes

Problem: The perimeter of a very irregular eleven-sided polygon is 663m. Of those eleven sides, ten are known to be 97m, 93m, 35m, 1m, 27m, 86m, 68m, 96m, 45m, and 61m respectively. What is the length of the unknown eleventh side?

DeepSeek 67B:

Reasoning:
The sum of the lengths of the ten known sides is 97 + 93 + 35 + 1 + 27 + 86 + 68 + 96 + 45 + 61 = 663m.
Since the perimeter of the polygon is also 663m, the length of the unknown eleventh side must be 0m.
### Answer: 0

Expected answer: 54

Correct? No

Problem: A decagon has side lengths of 54m, 49m, 85m, 48m, 85m, 19m, 94m, 44m, and 54m respectively. The length of the tenth side is not known. What is the length of this side if the total perimeter of the decagon is 575m?

DeepSeek 67B:

Reasoning:
The total perimeter of the decagon is the sum of the lengths of all ten sides. We know the lengths of nine sides, so we can find the length of the tenth side by subtracting the sum of the known side lengths from the total perimeter.

Let's first find the sum of the known side lengths:
54m + 49m + 85m + 48m + 85m + 19m + 94m + 44m + 54m = 540m

Now, subtract this sum from the total perimeter to find the length of the tenth side:
575m - 540m = 35m

The length of the tenth side is 35m.
### Answer: 35

Expected answer: 43

Correct? No

Problem: Given a regular octagon with a perimeter of 248m, what is the length of each side?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 248m / 8 = 31m.
### Answer: 31

Expected answer: 31

Correct? Yes

Problem: A regular pentagon has a perimeter of 390m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular pentagon has 5 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 390m / 5 = <<390/5=78>>78m.
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A decagon has nine side lengths given as 6m, 85m, 83m, 73m, 25m, 66m, 54m, 87m, and 21m. If the total perimeter is 522m, find the length of the tenth side.

DeepSeek 67B:

Reasoning:
The perimeter of a decagon is the sum of the lengths of all its sides. We are given the lengths of nine sides and the total perimeter. We can find the length of the tenth side by subtracting the sum of the given side lengths from the total perimeter.

Let's find the sum of the given side lengths:
6m + 85m + 83m + 73m + 25m + 66m + 54m + 87m + 21m = 504m

Now, subtract the sum of the given side lengths from the total perimeter:
522m - 504m = 18m

The length of the tenth side is 18m.

### Answer: 18m

Expected answer: 22

Correct? No

Problem: A regular octagon has a perimeter of 408m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 408m / 8 = <<408/8=51>>51m.
### Answer: 51

Expected answer: 51

Correct? Yes

Problem: An octagon has an equal length of sides. If the perimeter of the octagon is 696m, what is the length of each side?

DeepSeek 67B:

Reasoning:
If the octagon has an equal length of sides, then the perimeter is the sum of the lengths of all the sides.
Let's denote the length of each side as s.
The perimeter of the octagon is 696m, so the sum of the lengths of all the sides is 696m.
Since there are 8 sides, the sum of the lengths of all the sides is 8s.
Therefore, 8s = 696m.
To find the length of each side, we need to solve for s.
Divide both sides of the equation by 8:
8s / 8 = 696m / 8
s = 87m
The length of each side is 87m.
### Answer: 87

Expected answer: 87

Correct? Yes

Problem: An octagon has a perimeter of 744m. What is the length of each side if all sides are equal?

DeepSeek 67B:

Reasoning:
An octagon has 8 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 744m / 8 = <<744/8=93>>93m.
### Answer: 93

Expected answer: 93

Correct? Yes

Problem: A regular nonagon (9-sided polygon) has a perimeter of 270m. What is the length of one side?

DeepSeek 67B:

Reasoning:
A nonagon has 9 sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side is 270m / 9 = 30m.
### Answer: 30

Expected answer: 30

Correct? Yes

Problem: A nonagon nine-sided polygon has eight known side lengths: 30cm, 18cm, 68cm, 23cm, 72cm, 57cm, 33cm, and 19cm. If the total perimeter of the nonagon is 350cm, what is the length of the unknown ninth side?

DeepSeek 67B:

Reasoning:
The total perimeter of the nonagon is the sum of all nine side lengths. We know the lengths of eight sides, so we can find the length of the ninth side by subtracting the sum of the known side lengths from the total perimeter.

Let x be the length of the unknown ninth side.

The sum of the known side lengths is 30cm + 18cm + 68cm + 23cm + 72cm + 57cm + 33cm + 19cm = 332cm.

The total perimeter is 350cm.

So, the length of the unknown ninth side is 350cm - 332cm = 18cm.

The length of the unknown ninth side is 18cm.
### Answer: 18

Expected answer: 30

Correct? No

Problem: A nonagon has eight side lengths known which are 19m, 7m, 10m, 16m, 32m, 15m and 70m. What is the length of the ninth side if the total perimeter of the nonagon is 188m?

DeepSeek 67B:

Reasoning:
The total perimeter of the nonagon is 188m.
We know the lengths of eight sides, so we can find the length of the ninth side by subtracting the sum of the known side lengths from the total perimeter.
The sum of the known side lengths is 19m + 7m + 10m + 16m + 32m + 15m + 70m = 169m.
The length of the ninth side is 188m - 169m = 19m.
### Answer: 19

Expected answer: 19

Correct? Yes

Problem: A regular hexagon has a perimeter of 90m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 90m / 6 = <<90/6=15>>15m.
### Answer: 15

Expected answer: 15

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has equal side lengths. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 287m / 7 = <<287/7=41>>41m.
### Answer: 41

Expected answer: 41

Correct? Yes

Problem: A regular pentagon has a perimeter of 50m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular pentagon has five equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 50m / 5 = <<50/5=10>>10m.
### Answer: 10

Expected answer: 10

Correct? Yes

Problem: A regular nonagon has a perimeter of 63m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A nonagon has 9 sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 63m / 9 = <<63/9=7>>7m.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: A regular hexagon has a perimeter of 354m. What is the length of one side of this hexagon?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side of the hexagon is 354m / 6 = <<354/6=59>>59m.
### Answer: 59

Expected answer: 59

Correct? Yes

Problem: A polygon has side lengths of 59m, 16m, 15m, 35m, 89m, 16m, 43m and 7m. If the total perimeter of the polygon is 286m, what is the length of the last unknown side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is the sum of all its side lengths. We know the lengths of all sides except for one, so we can find the length of the unknown side by subtracting the sum of the known side lengths from the total perimeter.

Let's first find the sum of the known side lengths:
59m + 16m + 15m + 35m + 89m + 16m + 43m + 7m = 283m

Now, subtract the sum of the known side lengths from the total perimeter:
286m - 283m = 3m

The length of the last unknown side is 3m.
### Answer: 3

Expected answer: 6

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 616m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has equal side lengths. Let's denote the length of each side as s.
The perimeter of a regular heptagon is the sum of the lengths of all its sides.
So, the perimeter of the given heptagon is 7s.
We are given that the perimeter is 616m.
Therefore, 7s = 616.

Solution:
To find the length of each side, we need to solve for s.
Divide both sides of the equation by 7:
7s / 7 = 616 / 7
s = 88

The length of each side of the heptagon is 88m.
### Answer: 88

Expected answer: 88

Correct? Yes

Problem: A regular hexagon has a perimeter of 36m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 36m / 6 = <<36/6=6>>6m.
### Answer: 6

Expected answer: 6

Correct? Yes

Problem: A dodecagon has 11 of its 12 sides already measured. The lengths are 88cm, 24cm, 83cm, 64cm, 16cm, 14cm, 90cm, 36cm, and 47cm respectively. If the total perimeter of the dodecagon is 492cm, what is the length of the twelfth side?

DeepSeek 67B:

Reasoning:
The total perimeter of the dodecagon is 492cm, and we know the lengths of 11 sides. To find the length of the twelfth side, we can subtract the sum of the lengths of the 11 known sides from the total perimeter.

The sum of the lengths of the 11 known sides is 88cm + 24cm + 83cm + 64cm + 16cm + 14cm + 90cm + 36cm + 47cm = 496cm.

Now, subtract the sum of the lengths of the 11 known sides from the total perimeter:

492cm - 496cm = -4cm.

Since the length of a side cannot be negative, there must be an error in the given information or calculation. Please double-check the given lengths and the total perimeter.

If the total perimeter is indeed 492cm, and the sum of the lengths of the 11 known sides is correct, then the length of the twelfth side cannot be determined with the given information.

Expected answer: 30

Correct? No

Problem: A regular hexagon has a perimeter of 306m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 306m / 6 = <<306/6=51>>51m.
### Answer: 51

Expected answer: 51

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 238 meters. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has equal side lengths. Let's denote the length of each side as s.
The perimeter of a regular heptagon is the sum of the lengths of all its sides.
So, the perimeter of the given heptagon is 7s.
We are given that the perimeter is 238 meters.
Therefore, 7s = 238.

Solution:
To find the length of each side, we need to solve for s.
Divide both sides of the equation by 7:
7s / 7 = 238 / 7
s = 34

The length of each side of the heptagon is 34 meters.
### Answer: 34

Expected answer: 34

Correct? Yes

Problem: A regular hexagon has a total perimeter of 42m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the total perimeter by the number of sides.

Solution:
The length of each side is 42m / 6 = <<42/6=7>>7m.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: A regular octagon has a perimeter of 624m. What is the length of each side of the octagon?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side of the octagon is 624m / 8 = <<624/8=78>>78m.
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A polygon with nine sides has lengths of 17m, 13m, 61m, 16m, 11m, 83m, 28m, 48m, and 93m. What is the length of the tenth side if the total perimeter of the polygon is 468 meters?

DeepSeek 67B:

Reasoning:
The total length of the nine sides is 17 + 13 + 61 + 16 + 11 + 83 + 28 + 48 + 93 = 360 meters.
If the total perimeter of the polygon is 468 meters, then the length of the tenth side is 468 - 360 = 108 meters.
### Answer: 108

Expected answer: 98

Correct? No

Problem: A regular pentagon has a perimeter of 380m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular pentagon has 5 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 380m / 5 = <<380/5=76>>76m.
### Answer: 76

Expected answer: 76

Correct? Yes

Problem: A regular octagon has a perimeter of 104cm. What is the length of one of its sides?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side of the octagon is 104cm / 8 = <<104/8=13>>13cm.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 637m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has equal side lengths. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 637m / 7 = <<637/7=91>>91m.
### Answer: 91

Expected answer: 91

Correct? Yes

Problem: A regular pentagon has a perimeter of 35m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular pentagon has 5 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 35m / 5 = <<35/5=7>>7m.
### Answer: 7

Expected answer: 7

Correct? Yes

Problem: The perimeter of a pentagon is 223cm. The lengths of four of its sides are 45cm, 93cm, 36cm, and 22cm respectively. What is the length of the fifth side?

DeepSeek 67B:

Reasoning:
The perimeter of a pentagon is the sum of the lengths of all its sides.
Let's denote the length of the fifth side as x.
The sum of the lengths of the four given sides is 45 + 93 + 36 + 22 = 196 cm.
The perimeter of the pentagon is 223 cm.
Therefore, the length of the fifth side (x) can be calculated as follows:
Perimeter of the pentagon - Sum of the lengths of the four given sides = Length of the fifth side
223 - 196 = x
27 = x
The length of the fifth side is 27 cm.
### Answer: 27

Expected answer: 27

Correct? Yes

Problem: A polygon has sides measuring 75cm, 81cm, 22cm, 94cm, 91cm, and 10cm. If the perimeter of the polygon is 423cm, what is the length of the last unknown side?

DeepSeek 67B:

Reasoning:
The perimeter of a polygon is the sum of the lengths of all its sides.
Let x be the length of the last unknown side.
The sum of the lengths of all the sides is 75 + 81 + 22 + 94 + 91 + x.
The perimeter of the polygon is 423 cm.
We can set up the equation as follows:
75 + 81 + 22 + 94 + 91 + x = 423
Let's simplify and solve for x:
363 + x = 423
To isolate x, we subtract 363 from both sides of the equation:
363 + x - 363 = 423 - 363
x = 60
The length of the last unknown side is 60 cm.
The answer is: 60

Expected answer: 50

Correct? No

Problem: A regular decagon (10-sided polygon) has a perimeter of 600m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular decagon has 10 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 600m / 10 = 60m.
### Answer: 60

Expected answer: 60

Correct? Yes

Problem: The perimeter of a regular octagon is 632m. What is the length of each of its sides?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 632m / 8 = <<632/8=79>>79m.
### Answer: 79

Expected answer: 79

Correct? Yes

Problem: A regular septagon (7-sided polygon) has a total perimeter of 161m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular polygon has all sides of equal length. Let's denote the length of each side as s. Since a septagon has 7 sides, the total perimeter is 7 times the length of each side.

We can set up the equation as follows:

7s = 161

Now, we can solve for s:

s = 161 / 7
s = 23

So, the length of each side is 23 meters.

### Answer: 23

Expected answer: 23

Correct? Yes

Problem: A regular hexagon has a perimeter of 96m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 96m / 6 = <<96/6=16>>16m.
### Answer: 16

Expected answer: 16

Correct? Yes

Problem: A nonagon (9-sided polygon), has sides with length 50m, 31m, 24m, 28m, 13m, 97m, 63m and 88m. Find the length of the ninth side if the total perimeter of the nonagon is 402m.

DeepSeek 67B:

Reasoning:
The total perimeter of the nonagon is the sum of the lengths of all its sides. We know the lengths of 8 sides, so we can find the length of the ninth side by subtracting the sum of the known sides from the total perimeter.

Let's denote the length of the ninth side as x.

The sum of the lengths of the known sides is: 50m + 31m + 24m + 28m + 13m + 97m + 63m + 88m = 402m (since the total perimeter is 402m).

Now, we can set up the equation:

x + (sum of known sides) = total perimeter

x + 402m = 402m

Solving for x:

x = 0m

The length of the ninth side is 0m. However, this result is not possible in a polygon, as a polygon must have a positive length for all its sides. There might be an error in the given information or the problem statement. Please double-check the problem and provide the correct information.

Expected answer: 8

Correct? Yes

Problem: A regular heptagon (7-sided polygon) has a perimeter of 385m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has equal side lengths. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 385m / 7 = <<385/7=55>>55m.
### Answer: 55

Expected answer: 55

Correct? Yes

Problem: The total perimeter of a polygon is 358 meters. The lengths of five of its sides are 89 meters, 2 meters, 10 meters, 48 meters, and 94 meters respectively, and another side measures 59 meters. What is the length of the remaining side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is 358 meters.
The sum of the lengths of the five given sides is 89 + 2 + 10 + 48 + 94 = 243 meters.
The length of the remaining side can be found by subtracting the sum of the given sides from the total perimeter.
Length of the remaining side = Total perimeter - Sum of given sides
Length of the remaining side = 358 - 243 = 115 meters.
The answer is: 115

Expected answer: 56

Correct? No

Problem: An octagon has a equal sides and its total perimeter is 496m. What is the length of each side?

DeepSeek 67B:

Reasoning:
An octagon has 8 equal sides. To find the length of each side, we can divide the total perimeter by the number of sides.

Solution:
The length of each side is 496m / 8 = <<496/8=62>>62m.
### Answer: 62

Expected answer: 62

Correct? Yes

Problem: A regular octagon has a perimeter of 800m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 800m / 8 = 100m.
### Answer: 100

Expected answer: 100

Correct? Yes

Problem: A regular nonagon has a certain side length. If the perimeter of the nonagon is 702 m, what is the length of one side?

DeepSeek 67B:

Reasoning:
A nonagon has 9 sides. If the perimeter of the nonagon is 702 m, then the length of one side can be found by dividing the perimeter by the number of sides.

Solution:
The length of one side is 702 m / 9 = 78 m.
### Answer: 78

Expected answer: 78

Correct? Yes

Problem: A regular nonagon has a perimeter of 855cm. What is the length of one side?

DeepSeek 67B:

Reasoning:
A nonagon has 9 sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side is 855cm / 9 = <<855/9=95>>95cm.
### Answer: 95

Expected answer: 95

Correct? Yes

Problem: If a regular heptagon has a perimeter of 504 meters, find the length of its side.

DeepSeek 67B:

Reasoning:
A regular heptagon has seven equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
Length of one side = Perimeter / Number of sides
Length of one side = 504 meters / 7
Length of one side = 72 meters

The length of one side of the regular heptagon is 72 meters.
### Answer: 72

Expected answer: 72

Correct? Yes

Problem: A regular nonagon has a perimeter of 657m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A nonagon is a polygon with 9 sides.
The perimeter of a polygon is the sum of the lengths of its sides.
So, if we divide the perimeter of the nonagon by the number of sides, we will get the length of each side.

Solution:
The length of each side is 657m / 9 = <<657/9=73>>73m.
### Answer: 73

Expected answer: 73

Correct? Yes

Problem: Given a regular octagon where the total perimeter is 48 cm, what is the length of each side?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of each side, we can divide the total perimeter by the number of sides.

Solution:
The length of each side is 48 cm / 8 = <<48/8=6>>6 cm.
### Answer: 6

Expected answer: 6

Correct? Yes

Problem: A polygon has eight sides with lengths: 28m, 37m, 51m, 84m, 54m, 31m, 94m, and 12m. If the total perimeter of the polygon is 399m, what is the length of the remaining unknown side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is the sum of all its sides. We know the lengths of seven sides, so we can find the length of the remaining side by subtracting the sum of the known sides from the total perimeter.

Let's first find the sum of the known sides:
28m + 37m + 51m + 84m + 54m + 31m + 94m + 12m = 399m

Now, we can find the length of the remaining side by subtracting the sum of the known sides from the total perimeter:
399m - (28m + 37m + 51m + 84m + 54m + 31m + 94m + 12m) = 399m - 399m = 0m

However, this result is not possible, as a polygon must have a positive length for each side. There might be a mistake in the given information or the problem statement. Please double-check the problem and provide the correct information.

Expected answer: 8

Correct? No

Problem: A regular nonagon has a perimeter of 342m. What is the length of one side?

DeepSeek 67B:

Reasoning:
A nonagon has 9 sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side is 342m / 9 = <<342/9=38>>38m.
### Answer: 38

Expected answer: 38

Correct? Yes

Problem: In a polygon with 8 sides, 7 of the side lengths are given as follows: 7 m, 59 m, 49 m, 38 m, 53 m, 21 m, and 34 m. Given that the total perimeter of the polygon is 330 m, what is the length of the eighth side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is the sum of all the side lengths. We know the lengths of 7 sides, so we can find the length of the eighth side by subtracting the sum of the known side lengths from the total perimeter.

Let's first find the sum of the known side lengths:
7 m + 59 m + 49 m + 38 m + 53 m + 21 m + 34 m = 272 m

Now, subtract this sum from the total perimeter to find the length of the eighth side:
330 m - 272 m = 58 m

The length of the eighth side is 58 m.
### Answer: 58

Expected answer: 69

Correct? No

Problem: A decagon has side lengths of 88m, 96m, 74m, 52m, 45m, 74m, 85m, 85m, and 43m. What is the length of the tenth side if the total perimeter of the decagon is 682m?

DeepSeek 67B:

Reasoning:
The total perimeter of the decagon is the sum of all its side lengths. We know the lengths of 9 sides, so we can find the length of the tenth side by subtracting the sum of the known side lengths from the total perimeter.

Let's first find the sum of the known side lengths:
88m + 96m + 74m + 52m + 45m + 74m + 85m + 85m + 43m = 675m

Now, subtract this sum from the total perimeter to find the length of the tenth side:
682m (total perimeter) - 675m (sum of known side lengths) = 7m

The length of the tenth side is 7m.

Expected answer: 40

Correct? No

Problem: A regular septagon (7-sided polygon) has a constant perimeter of 161m. If all sides are equal, what is the length of each side?

DeepSeek 67B:

Reasoning:
A regular polygon has all sides equal in length. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The perimeter of the regular septagon is 161m, and it has 7 sides.
So, the length of each side is 161m / 7 = <<161/7=23>>23m.

Answer: The length of each side is 23m.

Expected answer: 23

Correct? Yes

Problem: A regular hexagon has a perimeter of 324m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 324m / 6 = <<324/6=54>>54m.
### Answer: 54

Expected answer: 54

Correct? Yes

Problem: A regular pentagon's perimeter is 385 meters. What is the length of one side?

DeepSeek 67B:

Reasoning:
A regular pentagon has five equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side is 385/5 = <<385/5=77>>77 meters.
### Answer: 77

Expected answer: 77

Correct? Yes

Problem: A regular septagon (7-sided polygon) has a perimeter of 245m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular polygon has all sides of equal length. Let's denote the length of each side as s.
The perimeter of a polygon is the sum of the lengths of all its sides.
So, for a regular septagon with a perimeter of 245m, we have:
7s = 245

Solution:
To find the length of each side, we need to solve for s:
7s = 245
s = 245 / 7
s = 35

The length of each side of the regular septagon is 35m.

Expected answer: 35

Correct? Yes

Problem: A regular pentagon has a perimeter of 25cm. What is the length of one of its sides?

DeepSeek 67B:

Reasoning:
A regular pentagon has five equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side of the regular pentagon is 25cm / 5 = <<25/5=5>>5cm.
### Answer: 5

Expected answer: 5

Correct? Yes

Problem: A regular hexagon has five of its sides measuring 9m, 49m, 100m, 73m, and 84m respectively. If the total perimeter of the hexagon is 380m, find the length of the sixth side.

DeepSeek 67B:

Reasoning:
The sum of the lengths of the five sides is 9 + 49 + 100 + 73 + 84 = 325m.
The total perimeter of the hexagon is 380m.
The length of the sixth side can be found by subtracting the sum of the lengths of the five sides from the total perimeter.

Solution:
Length of the sixth side = Total perimeter - Sum of lengths of the five sides
Length of the sixth side = 380 - 325 = 55m

The length of the sixth side is 55m.

Expected answer: 65

Correct? No

Problem: An irregular polygon has seven sides with lengths of 23m, 67m, 57m, 94m, 93m, 18m and 30m respectively. If the total perimeter of the polygon is 419m, what is the length of the missing side?

DeepSeek 67B:

Reasoning:
The sum of the lengths of all seven sides of the polygon is 23m + 67m + 57m + 94m + 93m + 18m + 30m = 419m.
Since the total perimeter of the polygon is 419m, the length of the missing side is 419m - (23m + 67m + 57m + 94m + 93m + 18m + 30m) = 419m - 419m = 0m.
### Answer: 0m

Expected answer: 37

Correct? No

Problem: A regular heptagon (7-sided polygon) has a perimeter of 287m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has equal side lengths. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 287m / 7 = <<287/7=41>>41m.
### Answer: 41

Expected answer: 41

Correct? Yes

Problem: A regular pentagon has a perimeter of 55m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular pentagon has five equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 55m / 5 = <<55/5=11>>11m.
### Answer: 11

Expected answer: 11

Correct? Yes

Problem: A regular nonagon, which is a nine-sided polygon, has equal side lengths. If the entire perimeter of the nonagon is 657 meters, how long is each side?

DeepSeek 67B:

Reasoning:

A nonagon has 9 sides. If the perimeter of the nonagon is 657 meters, then the length of each side can be found by dividing the perimeter by the number of sides.

Solution:

Each side of the nonagon is 657/9 = <<657/9=73>>73 meters long.
### Answer: 73

Expected answer: 73

Correct? Yes

Problem: A regular hexagon has a perimeter of 78m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular hexagon has six equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 78m / 6 = <<78/6=13>>13m.
### Answer: 13

Expected answer: 13

Correct? Yes

Problem: A regular octagon has a total perimeter of 600 meters. What is the length of one of its sides?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of one side, we can divide the total perimeter by the number of sides.

Solution:
The length of one side of the octagon is 600/8 = <<600/8=75>>75 meters.
### Answer: 75

Expected answer: 75

Correct? Yes

Problem: A polygon has side lengths of 39m, 26m, 47m, 52m, 66m, 17m, and 34m. If the overall perimeter of the polygon is 356m, what is the length of the last side?

DeepSeek 67B:

Reasoning:
The overall perimeter of the polygon is the sum of all its side lengths. We are given the side lengths of the polygon, and we know that the overall perimeter is 356m. We can set up an equation to find the length of the last side.

Let x be the length of the last side.

The equation is:
39m + 26m + 47m + 52m + 66m + 17m + 34m + x = 356m

Solving the equation:
39m + 26m + 47m + 52m + 66m + 17m + 34m + x = 356m

Combine like terms:
295m + x = 356m

Subtract 295m from both sides:
x = 356m - 295m

Simplify:
x = 61m

The length of the last side is 61m.
### Answer: 61

Expected answer: 75

Correct? No

Problem: A regular decagon has a perimeter of 930 cm. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular decagon has 10 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 930 cm / 10 = 93 cm.
### Answer: 93

Expected answer: 93

Correct? Yes

Problem: A decagon has eight of its sides measuring 24m, 25m, 75m, 38m, 18m, 42m and 61m. If the total perimeter of the decagon is 359m, can you find the length of one of the unknown sides?

DeepSeek 67B:

Reasoning:
The total perimeter of the decagon is 359m. We know the lengths of eight sides, so we can find the sum of these known sides.

Sum of known sides = 24m + 25m + 75m + 38m + 18m + 42m + 61m = 283m

Now, we can subtract the sum of known sides from the total perimeter to find the sum of the unknown sides.

Sum of unknown sides = Total perimeter - Sum of known sides = 359m - 283m = 76m

Since there are two unknown sides, we can divide the sum of the unknown sides by 2 to find the length of one of the unknown sides.

Length of one unknown side = Sum of unknown sides / 2 = 76m / 2 = 38m

### Answer: 38m

Expected answer: 76

Correct? No

Problem: A nonagon has side lengths of 52m, 52m, 44m, 53m, 41m, 91m, 25m, and 2m and the total perimeter of the nonagon is 368m. What is the length of the final side?

DeepSeek 67B:

Reasoning:
The total perimeter of the nonagon is the sum of all its side lengths. We know the lengths of 8 sides, and we need to find the length of the 9th side.
Let's denote the length of the 9th side as x.
The total perimeter of the nonagon is given as 368m.
So, the equation for the total perimeter is:
52m + 52m + 44m + 53m + 41m + 91m + 25m + 2m + x = 368m
Let's simplify and solve for x:
367m + x = 368m
To isolate x, we subtract 367m from both sides of the equation:
367m - 367m + x = 368m - 367m
x = 1m
The length of the final side is 1m.
### Answer: 1

Expected answer: 8

Correct? No

Problem: A regular octagon has a perimeter of 592cm. What is the length of one side?

DeepSeek 67B:

Reasoning:
A regular octagon has 8 equal sides. To find the length of one side, we can divide the perimeter by the number of sides.

Solution:
The length of one side is 592cm / 8 = <<592/8=74>>74cm.
### Answer: 74

Expected answer: 74

Correct? Yes

Problem: A regular heptagon has a perimeter of 245m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular heptagon has 7 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 245m / 7 = <<245/7=35>>35m.
### Answer: 35

Expected answer: 35

Correct? Yes

Problem: A regular decagon has a perimeter of 140m. What is the length of each side?

DeepSeek 67B:

Reasoning:
A regular decagon has 10 equal sides. To find the length of each side, we can divide the perimeter by the number of sides.

Solution:
The length of each side is 140m / 10 = 14m.
### Answer: 14

Expected answer: 14

Correct? Yes

Problem: A polygon has side lengths of 44cm, 5cm, 96cm, 78cm, 49cm, 84cm, 72cm, 74cm, 21cm, and 39cm. If the total perimeter of the polygon is 655cm. What is the length of its 11th side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is the sum of all its side lengths. We know the lengths of 10 sides, so we can find the length of the 11th side by subtracting the sum of the known side lengths from the total perimeter.

Let's find the sum of the known side lengths:
44cm + 5cm + 96cm + 78cm + 49cm + 84cm + 72cm + 74cm + 21cm + 39cm = 608cm

Now, subtract the sum of the known side lengths from the total perimeter:
655cm - 608cm = 47cm

The length of the 11th side is 47cm.

### Answer: 47

Expected answer: 93

Correct? No

Problem: A polygon has sides that measure 69m, 81m, 34m, 35m, and 38m respectively. If the polygon's total perimeter is 265m, what is the length of the remaining side?

DeepSeek 67B:

Reasoning:
The total perimeter of the polygon is 265m. The sum of the lengths of the given sides is 69m + 81m + 34m + 35m + 38m = 267m.
To find the length of the remaining side, we subtract the sum of the given sides from the total perimeter:
265m - 267m = -2m
The length of the remaining side is -2m.
### Answer: -2

Expected answer: 8

Correct? No

Problem: A pentagon has four of its side lengths as 22m, 14m, 93m, and 75m respectively. If its total perimeter is 234m, find the length of the fifth side.

DeepSeek 67B:

Reasoning:
The total perimeter of a pentagon is the sum of the lengths of all its sides.
Let's denote the length of the fifth side as x.
The total perimeter of the pentagon is given as 234m.
So, the sum of the lengths of all its sides is 234m.
We know the lengths of four sides, so we can calculate the length of the fifth side by subtracting the sum of the lengths of the known sides from the total perimeter.

Solution:
The sum of the lengths of the known sides is 22m + 14m + 93m + 75m = 204m.
The length of the fifth side is 234m - 204m = 30m.

The length of the fifth side is 30m.

Expected answer: 30

Correct? Yes