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DeepSeek Math 7B Base on 4.OA.B.4

Common Core Standard 4.OA.B.4

This standard covers the following:

Find all factor pairs for a whole number in the range 1-100. Recognize that a whole number is a multiple of each of its factors. Determine whether a given whole number in the range 1-100 is a multiple of a given one-digit number. Determine whether a given whole number in the range 1-100 is prime or composite.

🔗 Problem

Problem: Find all factor pairs of 64.

DeepSeek Math 7B Base: 

 64 = 1*64, 2*32, 4*16, 8*8.

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 18.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 18 are:
18 = 1*18
18 = 2*9
18 = 3*6
18 = 6*3
18 = 9*2
18 = 18*1
### Answer: 1*18, 2*9, 3*6, 6*3, 9*2, 18*1

Expected answer: [(1, 18), (2, 9), (3, 6)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 28.

DeepSeek Math 7B Base: 

 Reasoning: 28 = 1*28, 2*14, 4*7, 7*4, 14*2, 28*1.
### Answer: 1*28, 2*14, 4*7, 7*4, 14*2, 28*1

Expected answer: [(1, 28), (2, 14), (4, 7)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 48.

DeepSeek Math 7B Base: 

 The factor pairs of 48 are:
(1,48), (2,24), (3,16), (4,12), (6,8).

Expected answer: [(1, 48), (2, 24), (3, 16), (4, 12), (6, 8)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs of 7.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 7 are 1 and 7.
### Answer: 1 and 7

Expected answer: [(1, 7)]

Correct? Yes

🔗 Problem

Problem: Write down every pair of factors of 98.

DeepSeek Math 7B Base: 

 1 and 98
2 and 49
7 and 14

Expected answer: [(1, 98), (2, 49), (7, 14)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 26.

DeepSeek Math 7B Base: 

 The factor pairs of 26 are:
(1, 26)
(2, 13)
(13, 2)
(26, 1)

Expected answer: [(1, 26), (2, 13)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 59.

DeepSeek Math 7B Base: 

 59 is a prime number, so it has only one factor pair: 1 and 59.

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: Find out all factor pairs of 20.

DeepSeek Math 7B Base: 

 Reasoning: 1*20 = <<1*20=20>>20, 2*10 = <<2*10=20>>20, 4*5 = <<4*5=20>>20.
The factor pairs of 20 are 1 and 20, 2 and 10, 4 and 5.
### Answer: 1 and 20, 2 and 10, 4 and 5

Expected answer: [(1, 20), (2, 10), (4, 5)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 20.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 20 are:
1 and 20
2 and 10
4 and 5
### Answer: 1 and 20, 2 and 10, 4 and 5

Expected answer: [(1, 20), (2, 10), (4, 5)]

Correct? Yes

🔗 Problem

Problem: Please list down all factor pairs of 13.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 13 are 1 and 13.
### Answer: 1 and 13

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 81.

DeepSeek Math 7B Base: 

 Reasoning: 81 = 1*81, 3*27, 9*9.
### Answer: 1*81, 3*27, 9*9

Expected answer: [(1, 81), (3, 27), (9, 9)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 76.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 76 are:
1 and 76
2 and 38
4 and 19
### Answer: 1 and 76, 2 and 38, 4 and 19

Expected answer: [(1, 76), (2, 38), (4, 19)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 50.

DeepSeek Math 7B Base: 

 Reasoning: 1*50 = <<1*50=50>>50
2*25 = <<2*25=50>>50
5*10 = <<5*10=50>>50
### Answer: 1 and 50, 2 and 25, 5 and 10

Expected answer: [(1, 50), (2, 25), (5, 10)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 76.

DeepSeek Math 7B Base: 

 The factor pairs of 76 are:
1 and 76
2 and 38
4 and 19

Expected answer: [(1, 76), (2, 38), (4, 19)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 56.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 56 are:
1 and 56
2 and 28
4 and 14
7 and 8
### Answer: 1 and 56, 2 and 28, 4 and 14, 7 and 8

Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 44.

DeepSeek Math 7B Base: 

 The factor pairs of 44 are:
1 and 44
2 and 22
4 and 11

Expected answer: [(1, 44), (2, 22), (4, 11)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 5.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 5 are 1 and 5.
### Answer: 1 and 5

Expected answer: [(1, 5)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 95.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 95 are 1 and 95, 5 and 19.
### Answer: 1 and 95, 5 and 19

Expected answer: [(1, 95), (5, 19)]

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 36.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 36 are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
### Answer: 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: Compute all the factor pairs of the number 59.

DeepSeek Math 7B Base: 

 The factor pairs of 59 are (1,59) and (59,1).

Expected answer: [(1, 59)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 3?

DeepSeek Math 7B Base: 

 The factor pairs of 3 are:
(1,3)
(3,1)

Expected answer: [(1, 3)]

Correct? No

🔗 Problem

Problem: Could you list all factor pairs of 51?

DeepSeek Math 7B Base: 

 Yes, here are all the factor pairs of 51:
1 and 51
3 and 17
### Answer: 1 and 51, 3 and 17

Expected answer: [(1, 51), (3, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 50.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 50 are:
1 and 50
2 and 25
5 and 10
### Answer: 1 and 50, 2 and 25, 5 and 10

Expected answer: [(1, 50), (2, 25), (5, 10)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 47.

DeepSeek Math 7B Base: 

 1 and 47 are factor pairs of 47.

Expected answer: [(1, 47)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 51.

DeepSeek Math 7B Base: 

 Reasoning: 1 x 51 = <<1*51=51>>51
3 x 17 = <<3*17=51>>51
51 x 1 = <<51*1=51>>51
17 x 3 = <<17*3=51>>51
### Answer: 1, 3, 17, 51

Expected answer: [(1, 51), (3, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 60.

DeepSeek Math 7B Base: 

 Reasoning: 60 = 1*60, 2*30, 3*20, 4*15, 5*12, 6*10.
### Answer: 1*60, 2*30, 3*20, 4*15, 5*12, 6*10.

Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 43.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 43 are 1 and 43.
### Answer: 1 and 43

Expected answer: [(1, 43)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 70.

DeepSeek Math 7B Base: 

 Reasoning: 1*70 = <<1*70=70>>70
2*35 = <<2*35=70>>70
5*14 = <<5*14=70>>70
7*10 = <<7*10=70>>70
### Answer: (1,70), (2,35), (5,14), (7,10)

Expected answer: [(1, 70), (2, 35), (5, 14), (7, 10)]

Correct? No

🔗 Problem

Problem: Please list all the factors of the number 2.

DeepSeek Math 7B Base: 

 The factors of 2 are 1 and 2.

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 49.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 49 are:
1 and 49
7 and 7
### Answer: 1 and 49, 7 and 7

Expected answer: [(1, 49), (7, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 17.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 17 are 1 and 17.
### Answer: 1 and 17

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 35.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 35 are:
1 and 35
5 and 7
### Answer: 1 and 35, 5 and 7

Expected answer: [(1, 35), (5, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 91.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 91 are 1 and 91, 7 and 13.
### Answer: 1 and 91, 7 and 13

Expected answer: [(1, 91), (7, 13)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of the number 97.

DeepSeek Math 7B Base: 

 The factor pairs of 97 are (1,97) and (97,1).

Expected answer: [(1, 97)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of 16?

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 16 are 1 and 16, 2 and 8, and 4 and 4.
### Answer: 1 and 16, 2 and 8, and 4 and 4

Expected answer: [(1, 16), (2, 8), (4, 4)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of the number 21.

DeepSeek Math 7B Base: 

 The factor pairs of 21 are:
1 and 21
3 and 7
### Answer: 1 and 21, 3 and 7

Expected answer: [(1, 21), (3, 7)]

Correct? Yes

🔗 Problem

Problem: Could you determine all the factor pairs of 72?

DeepSeek Math 7B Base: 

 Yes, I can.

Expected answer: [(1, 72), (2, 36), (3, 24), (4, 18), (6, 12), (8, 9)]

Correct? No

🔗 Problem

Problem: Determine all the factor pairs of 38.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 38 are 1 and 38, 2 and 19.
### Answer: 1 and 38, 2 and 19

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 94.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 94 are 1 and 94, 2 and 47.
### Answer: 1 and 94, 2 and 47

Expected answer: [(1, 94), (2, 47)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 32.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 32 are:
1 and 32
2 and 16
4 and 8
### Answer: 1 and 32, 2 and 16, 4 and 8

Expected answer: [(1, 32), (2, 16), (4, 8)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 33.

DeepSeek Math 7B Base: 

 The factor pairs of 33 are:
1 and 33
3 and 11
### Answer: 1 and 33, 3 and 11

Expected answer: [(1, 33), (3, 11)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 59.

DeepSeek Math 7B Base: 

 59 is a prime number, so it has only one factor pair: 1 and 59.

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 54.

DeepSeek Math 7B Base: 

 The factor pairs of 54 are:
(1, 54)
(2, 27)
(3, 18)
(6, 9)

Expected answer: [(1, 54), (2, 27), (3, 18), (6, 9)]

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of the number 85.

DeepSeek Math 7B Base: 

 The factor pairs of 85 are:
(1, 85)
(5, 17)

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of the number 56.

DeepSeek Math 7B Base: 

 The factor pairs of 56 are:
1 and 56
2 and 28
4 and 14
7 and 8

Expected answer: [(1, 56), (2, 28), (4, 14), (7, 8)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 24.

DeepSeek Math 7B Base: 

 The factor pairs of 24 are:
(1,24), (2,12), (3,8), (4,6).

Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]

Correct? No

🔗 Problem

Problem: What are all the factor pairs of the number 84?

DeepSeek Math 7B Base: 

 The factor pairs of 84 are:
1 and 84
2 and 42
3 and 28
4 and 21
6 and 14
7 and 12
### Answer: 1 and 84, 2 and 42, 3 and 28, 4 and 21, 6 and 14, 7 and 12

Expected answer: [(1, 84), (2, 42), (3, 28), (4, 21), (6, 14), (7, 12)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 36.

DeepSeek Math 7B Base: 

 The factor pairs of 36 are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 85?

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 85 are 1 and 85, 5 and 17.
### Answer: 1 and 85, 5 and 17

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 34.

DeepSeek Math 7B Base: 

 The factor pairs of 34 are:
1 and 34
2 and 17
34 and 1
17 and 2

Expected answer: [(1, 34), (2, 17)]

Correct? Yes

🔗 Problem

Problem: Determine all factor pairs of 88.

DeepSeek Math 7B Base: 

 Reasoning: 88 = 1*88, 2*44, 4*22, 8*11.
### Answer: (1, 88), (2, 44), (4, 22), (8, 11)

Expected answer: [(1, 88), (2, 44), (4, 22), (8, 11)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs for the number 83.

DeepSeek Math 7B Base: 

 The factor pairs for 83 are:
1 and 83
83 and 1

Expected answer: [(1, 83)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 60?

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 60 are:
1 and 60
2 and 30
3 and 20
4 and 15
5 and 12
6 and 10
### Answer: 1 and 60, 2 and 30, 3 and 20, 4 and 15, 5 and 12, 6 and 10

Expected answer: [(1, 60), (2, 30), (3, 20), (4, 15), (5, 12), (6, 10)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 58.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 58 are 1 and 58, 2 and 29.
### Answer: 1 and 58, 2 and 29

Expected answer: [(1, 58), (2, 29)]

Correct? Yes

🔗 Problem

Problem: Please list all of the factor pairs of the number 40.

DeepSeek Math 7B Base: 

 The factor pairs of 40 are:
1 and 40
2 and 20
4 and 10
5 and 8

Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]

Correct? Yes

🔗 Problem

Problem: Identify all the factor pairs of 91.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 91 are:
1 and 91
7 and 13
### Answer: 1 and 91, 7 and 13

Expected answer: [(1, 91), (7, 13)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 76.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 76 are:
1 and 76
2 and 38
4 and 19
### Answer: 1 and 76, 2 and 38, 4 and 19

Expected answer: [(1, 76), (2, 38), (4, 19)]

Correct? Yes

🔗 Problem

Problem: What are all the factor pairs of 13?

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 13 are 1 and 13.
### Answer: 1 and 13

Expected answer: [(1, 13)]

Correct? Yes

🔗 Problem

Problem: Find all factor pairs of 64.

DeepSeek Math 7B Base: 

 64 = 1*64, 2*32, 4*16, 8*8

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 8?

DeepSeek Math 7B Base: 

 Reasoning: 1*8 = <<1*8=8>>8, 2*4 = <<2*4=8>>8, 3*8 = <<3*8=24>>24, 4*2 = <<4*2=8>>8, 5*8 = <<5*8=40>>40, 6*8 = <<6*8=48>>48, 7*8 = <<7*8=56>>56, 8*1 = <<8*1=8>>8, 9*8 = <<9*8=72>>72, 10*8 = <<10*8=80>>80, 11*8 = <<11*8=88>>88, 12*8 = <<12*8=96>>96, 13*8 = <<13*8=104>>104, 14*8 = <<14*8=112>>112, 15*8 = <<15*8=120>>120, 16*8 = <<16*8=128>>128, 17*8 = <<17*8=136>>136, 18*8 = <<18*8=144>>144, 19*8 = <<19*8=152>>152, 20*8 = <<20*8=160>>160, 21*8 = <<21*8=168>>168, 22*8 = <<22*8=176>>176, 23*8 = <<23*8=184>>184, 24*8 = <<24*8=192>>192, 25*8 = <<25*8=200>>200, 26*8 = <<26*8=208>>208, 27*8 = <<27*8=216>>216, 28*8 = <<28*8=224>>224, 29*8 = <<29*8=232>>232, 30*8 = <<30*8=240>>240, 31*8 = <<31*8=248>>248, 32*8 = <<32*8=256>>256, 33*8 = <<33*8=264>>264, 34*8 = <<34*8=272>>272, 35*8 = <<35*8=280>>280, 36*8 = <<36*8=288>>288, 37*8 = <<37*8=296>>296, 38*8 = <<38*8=304>>304, 39*8 = <<39*8=312>>312, 40*8 = <<40*8=320>>320, 41*8 = <<41*8=328>>328, 42*8 = <<42*8=336>>336, 43*8 = <<43*8=344>>344, 44*8 = <<44*8=352>>352, 45*8 = <<45*8=360>>360, 46*8 = <<46*8=368>>368, 47*8 = <<47*8=376>>376, 48*8 = <<48*8=384>>384, 49*8 = <<49*8=392>>392, 50*8 = <<50*8=400>>400, 51*8 = <<51*8=408>>408, 52*8 = <<52*8=416>>416, 53*8 = <<

Expected answer: [(1, 8), (2, 4)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of 80.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 80 are:
1 and 80
2 and 40
4 and 20
5 and 16
8 and 10
### Answer: 1 and 80, 2 and 40, 4 and 20, 5 and 16, 8 and 10

Expected answer: [(1, 80), (2, 40), (4, 20), (5, 16), (8, 10)]

Correct? Yes

🔗 Problem

Problem: Calculate all the factor pairs for the number 96.

DeepSeek Math 7B Base: 

 The factor pairs for 96 are:
1 and 96
2 and 48
3 and 32
4 and 24
6 and 16
8 and 12

Expected answer: [(1, 96), (2, 48), (3, 32), (4, 24), (6, 16), (8, 12)]

Correct? Yes

🔗 Problem

Problem: Calculate all factor pairs of 19.

DeepSeek Math 7B Base: 

 19 is a prime number, so it has only one factor pair: 1 and 19.

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 37?

DeepSeek Math 7B Base: 

 37 is a prime number, so it has no factor pairs.

Expected answer: [(1, 37)]

Correct? No

🔗 Problem

Problem: Write down all factor pairs of the number 6.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 6 are 1 and 6, 2 and 3.
### Answer: 1 and 6, 2 and 3

Expected answer: [(1, 6), (2, 3)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 58.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 58 are:
1 and 58
2 and 29
### Answer: 1 and 58, 2 and 29

Expected answer: [(1, 58), (2, 29)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of the number 81.

DeepSeek Math 7B Base: 

 The factor pairs of 81 are:
(1,81)
(3,27)
(9,9)

Expected answer: [(1, 81), (3, 27), (9, 9)]

Correct? No

🔗 Problem

Problem: Please list all factor pairs of the number 85.

DeepSeek Math 7B Base: 

 The factor pairs of 85 are:
(1, 85)
(5, 17)

Expected answer: [(1, 85), (5, 17)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs for the number 93.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs for 93 are:
1 and 93
3 and 31
### Answer: 1 and 93, 3 and 31

Expected answer: [(1, 93), (3, 31)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of 24.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 24 are:
1 and 24
2 and 12
3 and 8
4 and 6
### Answer: 1 and 24, 2 and 12, 3 and 8, 4 and 6

Expected answer: [(1, 24), (2, 12), (3, 8), (4, 6)]

Correct? Yes

🔗 Problem

Problem: List all the factor pairs of 97.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 97 are 1 and 97.
### Answer: 1 and 97

Expected answer: [(1, 97)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 57.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 57 are 1 and 57, 3 and 19.
### Answer: 1 and 57, 3 and 19

Expected answer: [(1, 57), (3, 19)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 19.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 19 are 1 and 19.
### Answer: 1 and 19

Expected answer: [(1, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 38 are:
1 and 38
2 and 19
### Answer: 1 and 38, 2 and 19

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of the number 6.

DeepSeek Math 7B Base: 

 The factor pairs of 6 are:
1 and 6
2 and 3
3 and 2
6 and 1

Expected answer: [(1, 6), (2, 3)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 17.

DeepSeek Math 7B Base: 

 Reasoning: 17 is a prime number, so it has only one factor pair: 1 and 17.
### Answer: 1 and 17

Expected answer: [(1, 17)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 45.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 45 are 1 and 45, 3 and 15, and 5 and 9.
### Answer: 1 and 45, 3 and 15, 5 and 9

Expected answer: [(1, 45), (3, 15), (5, 9)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 36.

DeepSeek Math 7B Base: 

 Reasoning: 1*36 = <<1*36=36>>36
2*18 = <<2*18=36>>36
3*12 = <<3*12=36>>36
4*9 = <<4*9=36>>36
6*6 = <<6*6=36>>36
### Answer: 1*36, 2*18, 3*12, 4*9, 6*6

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 89?

DeepSeek Math 7B Base: 

 89 is a prime number, so it has no factor pairs.

Expected answer: [(1, 89)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of 89.

DeepSeek Math 7B Base: 

 89 is a prime number, so it has no factor pairs.

Expected answer: [(1, 89)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of the number 44.

DeepSeek Math 7B Base: 

 The factor pairs of 44 are:
1 and 44
2 and 22
4 and 11

Expected answer: [(1, 44), (2, 22), (4, 11)]

Correct? Yes

🔗 Problem

Problem: Identify all factor pairs of the number 36.

DeepSeek Math 7B Base: 

 The factor pairs of 36 are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6

Expected answer: [(1, 36), (2, 18), (3, 12), (4, 9), (6, 6)]

Correct? Yes

🔗 Problem

Problem: List all possible factor pairs of the number 35.

DeepSeek Math 7B Base: 

 The factor pairs of 35 are:
1 and 35
5 and 7
### Answer: 1 and 35, 5 and 7

Expected answer: [(1, 35), (5, 7)]

Correct? Yes

🔗 Problem

Problem: Write down all factor pairs of 22.

DeepSeek Math 7B Base: 

 Reasoning: 22 = 1*22, 2*11.
### Answer: 1*22, 2*11

Expected answer: [(1, 22), (2, 11)]

Correct? Yes

🔗 Problem

Problem: Find all the factor pairs of 40.

DeepSeek Math 7B Base: 

 The factor pairs of 40 are:
(1,40), (2,20), (4,10), (5,8).

Expected answer: [(1, 40), (2, 20), (4, 10), (5, 8)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of the number 64.

DeepSeek Math 7B Base: 

 The factor pairs of 64 are:
(1,64)
(2,32)
(4,16)
(8,8)

Expected answer: [(1, 64), (2, 32), (4, 16), (8, 8)]

Correct? No

🔗 Problem

Problem: Determine all factor pairs of 30.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 30 are:
1 and 30
2 and 15
3 and 10
5 and 6
### Answer: 1 and 30, 2 and 15, 3 and 10, 5 and 6

Expected answer: [(1, 30), (2, 15), (3, 10), (5, 6)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 59.

DeepSeek Math 7B Base: 

 59 is a prime number, so it has only one factor pair: 1 and 59.

Expected answer: [(1, 59)]

Correct? Yes

🔗 Problem

Problem: List all factor pairs of 18.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 18 are:
18 = 1*18
18 = 2*9
18 = 3*6
18 = 6*3
18 = 9*2
18 = 18*1
### Answer: 1*18, 2*9, 3*6, 6*3, 9*2, 18*1

Expected answer: [(1, 18), (2, 9), (3, 6)]

Correct? Yes

🔗 Problem

Problem: Please list all the factor pairs of 61.

DeepSeek Math 7B Base: 

 61 is a prime number, so it has only one factor pair: 1 and 61.

Expected answer: [(1, 61)]

Correct? Yes

🔗 Problem

Problem: What are all of the factor pairs of 86?

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 86 are 1 and 86, 2 and 43.
### Answer: 1 and 86, 2 and 43

Expected answer: [(1, 86), (2, 43)]

Correct? Yes

🔗 Problem

Problem: List out all factor pairs of 57.

DeepSeek Math 7B Base: 

 Reasoning: 1*57 = <<1*57=57>>57
3*19 = <<3*19=57>>57
57*1 = <<57*1=57>>57
19*3 = <<19*3=57>>57
### Answer: 1, 3, 19, 57

Expected answer: [(1, 57), (3, 19)]

Correct? Yes

🔗 Problem

Problem: What are all factor pairs of 38?

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 38 are:
1 and 38
2 and 19
### Answer: 1 and 38, 2 and 19

Expected answer: [(1, 38), (2, 19)]

Correct? Yes

🔗 Problem

Problem: Please list all factor pairs of 27.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 27 are:
(1,27)
(3,9)
(9,3)
(27,1)
### Answer: (1,27), (3,9), (9,3), (27,1)

Expected answer: [(1, 27), (3, 9)]

Correct? No

🔗 Problem

Problem: List all the factor pairs of the number 78.

DeepSeek Math 7B Base: 

 The factor pairs of 78 are:
(1, 78)
(2, 39)
(3, 26)
(6, 13)

Expected answer: [(1, 78), (2, 39), (3, 26), (6, 13)]

Correct? Yes

🔗 Problem

Problem: List out all the factor pairs of 23.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 23 are 1 and 23.
### Answer: 1 and 23

Expected answer: [(1, 23)]

Correct? Yes

🔗 Problem

Problem: List down all the factor pairs of 2.

DeepSeek Math 7B Base: 

 Reasoning: The factor pairs of 2 are 1 and 2.
### Answer: 1 and 2

Expected answer: [(1, 2)]

Correct? Yes

🔗 Problem

Problem: Write down all the factor pairs of 49.

DeepSeek Math 7B Base: 

 Reasoning: 1*49 = <<1*49=49>>49
7*7 = <<7*7=49>>49
49*1 = <<49*1=49>>49
7*7 = <<7*7=49>>49
### Answer: 1*49, 7*7, 49*1, 7*7

Expected answer: [(1, 49), (7, 7)]

Correct? Yes

🔗 Problem

Problem: Identify all the distinct pairs of factors that can multiply to give the number 93.

DeepSeek Math 7B Base: 

 Reasoning: The factors of 93 are 1, 3, 31, and 93.
The distinct pairs of factors that can multiply to give the number 93 are 1 and 93, 3 and 31.
### Answer: 1 and 93, 3 and 31

Expected answer: [(1, 93), (3, 31)]

Correct? Yes