The document contains 19 sets of 5 equations with variables x1 through x5. Each equation relates the variables and unknown constants on the left side to a number on the right side. The coefficients of the variables and constants change across the 19 sets but follow a similar form of having terms with both positive and negative values.

1. +2 -3 -6 -5 -4
1 E1 + 3 x1 - 9 x2 + 5 x3 + 2 x4 + 2 x5 = - 15
E2 + 9 x1 - 3 x2 - 8 x3 - 2 x4 + 4 x5 = + 69
E3 - 5 x1 + 4 x2 + 4 x3 + 2 x4 + 6 x5 = - 80
E4 + 4 x1 + 7 x2 + 7 x3 + 5 x4 + 8 x5 = - 112
E5 + 4 x1 + 4 x2 + 5 x3 + 1 x4 + 5 x5 = - 59
-6 -3 -9 +4 +5
2 E1 + 8 x1 - 3 x2 - 7 x3 - 3 x4 - 7 x5 = - 23
E2 + 8 x1 + 1 x2 - 7 x3 + 8 x4 - 6 x5 = + 14
E3 - 8 x1 + 3 x2 - 9 x3 - 7 x4 + 6 x5 = + 122
E4 - 4 x1 - 8 x2 - 6 x3 + 5 x4 + 8 x5 = + 162
E5 - 4 x1 - 2 x2 + 3 x3 + 4 x4 + 8 x5 = + 59
+7 +3 +1 -5 +6
3 E1 - 6 x1 + 7 x2 - 6 x3 - 3 x4 - 3 x5 = - 30
E2 - 9 x1 + 3 x2 - 2 x3 - 8 x4 + 4 x5 = +8
E3 - 4 x1 + 6 x2 - 4 x3 - 4 x4 + 2 x5 = + 18
E4 + 7 x1 - 2 x2 + 6 x3 + 4 x4 + 9 x5 = + 83
E5 + 4 x1 - 7 x2 + 5 x3 - 9 x4 + 3 x5 = + 75
+4 +4 -6 -2 +1
4 E1 - 5 x1 + 6 x2 - 3 x3 + 4 x4 + 9 x5 = + 23
E2 - 7 x1 + 5 x2 - 1 x3 + 5 x4 - 8 x5 = - 20
E3 - 2 x1 - 4 x2 + 8 x3 + 2 x4 + 3 x5 = - 73
E4 - 2 x1 + 7 x2 + 6 x3 - 2 x4 - 8 x5 = - 20
E5 - 3 x1 + 9 x2 + 4 x3 - 3 x4 + 3 x5 = +9

2. -6 +6 +2 -2 +4
5 E1 + 6 x1 + 9 x2 + 3 x3 + 6 x4 + 6 x5 = + 36
E2 - 5 x1 + 3 x2 + 5 x3 + 1 x4 + 8 x5 = + 88
E3 + 1 x1 + 2 x2 + 7 x3 - 9 x4 + 5 x5 = + 58
E4 - 1 x1 - 3 x2 + 7 x3 + 6 x4 + 6 x5 = + 14
E5 - 8 x1 + 2 x2 - 8 x3 + 5 x4 - 5 x5 = + 14
+3 +2 -2 -7 -4
6 E1 + 9 x1 - 5 x2 + 3 x3 + 8 x4 + 7 x5 = - 73
E2 - 4 x1 - 9 x2 + 8 x3 - 6 x4 + 7 x5 = - 32
E3 + 6 x1 - 7 x2 - 6 x3 - 2 x4 - 6 x5 = + 54
E4 - 6 x1 + 3 x2 - 9 x3 - 6 x4 - 4 x5 = + 64
E5 + 6 x1 + 9 x2 - 7 x3 + 4 x4 + 2 x5 = + 14
-2 +6 +5 -8 +3
7 E1 - 9 x1 - 7 x2 - 4 x3 + 8 x4 + 9 x5 = - 81
E2 + 4 x1 + 4 x2 - 9 x3 + 4 x4 + 6 x5 = - 43
E3 - 4 x1 - 8 x2 - 5 x3 - 6 x4 + 1 x5 = - 14
E4 - 2 x1 + 4 x2 + 1 x3 - 4 x4 + 3 x5 = + 74
E5 - 5 x1 - 6 x2 + 2 x3 + 5 x4 + 1 x5 = - 53
-4 -4 +8 -7 +9
8 E1 + 5 x1 + 1 x2 + 3 x3 + 8 x4 + 9 x5 = + 25
E2 - 5 x1 + 6 x2 - 8 x3 + 6 x4 - 2 x5 = - 128
E3 + 4 x1 - 5 x2 + 1 x3 + 6 x4 + 5 x5 = + 15
E4 + 8 x1 + 4 x2 + 2 x3 - 5 x4 - 5 x5 = - 42
E5 - 7 x1 + 5 x2 + 7 x3 + 2 x4 + 3 x5 = + 77

3. +2 -9 +8 +7 -9
9 E1 + 3 x1 - 4 x2 - 7 x3 - 7 x4 - 8 x5 = +9
E2 + 8 x 1 - 8 x2 + 8 x3 + 4 x4 + 4 x5 = + 144
E3 + 3 x 1 + 8 x2 + 7 x3 + 5 x4 - 7 x5 = + 88
E4 + 4 x 1 - 2 x2 - 4 x3 + 8 x4 + 1 x5 = + 41
E5 + 6 x 1 + 7 x2 - 5 x3 + 7 x4 + 6 x5 = - 96
+9 -5 +7 -9 -7
10 E1 + 8 x1 + 3 x2 + 5 x3 + 1 x4 - 2 x5 = + 97
E2 + 7 x 1 + 6 x2 - 5 x3 - 3 x4 + 2 x5 = + 11
E3 - 8 x 1 + 5 x2 - 4 x3 - 8 x4 - 6 x5 = - 11
E4 + 5 x 1 + 5 x2 - 7 x3 - 2 x4 + 7 x5 = - 60
E5 + 6 x 1 + 7 x2 + 5 x3 - 4 x4 + 8 x5 = + 34
+7 -2 +8 -9 -4
11 E1 - 5 x1 + 9 x2 + 4 x3 + 2 x4 - 7 x5 = - 11
E2 - 5 x 1 - 6 x2 + 8 x3 - 3 x4 + 2 x5 = + 60
E3 - 3 x 1 - 4 x2 + 5 x3 + 5 x4 - 2 x5 = - 10
E4 - 4 x 1 - 4 x2 - 3 x3 - 4 x4 - 1 x5 = -4
E5 + 7 x 1 + 8 x2 + 9 x3 - 8 x4 - 6 x5 = + 201
-8 +7 +6 -2 +6
12 E1 - 9 x 1 - 3 x 2 + 6 x 3 - 2 x 4 - 7 x 5 = + 49
E2 - 8 x 1 + 8 x2 + 3 x3 + 5 x4 - 1 x5 = + 122
E3 + 7 x 1 - 8 x2 - 8 x3 - 5 x4 - 4 x5 = - 174
E4 + 6 x 1 + 2 x2 - 7 x3 + 2 x4 + 7 x5 = - 38
E5 + 9 x 1 - 7 x2 - 7 x3 - 1 x4 - 1 x5 = - 167

4. -4 -7 -5 -6 +5
13 E1 - 5 x1 - 9 x2 - 4 x3 - 7 x4 + 6 x5 = + 175
E2 + 8 x 1 - 5 x2 + 8 x3 + 5 x4 + 9 x5 = - 22
E3 + 3 x 1 + 6 x2 - 5 x3 + 5 x4 - 4 x5 = - 79
E4 - 4 x 1 + 2 x2 + 2 x3 + 4 x4 + 8 x5 = +8
E5 + 5 x 1 - 5 x2 - 2 x3 - 3 x4 + 4 x5 = + 63
+3 -6 -2 +7 -4
14 E1 + 5 x1 - 9 x2 + 3 x3 - 6 x4 + 4 x5 = +5
E2 - 7 x 1 - 7 x2 - 2 x3 + 1 x4 + 7 x5 = +4
E3 + 4 x 1 + 2 x2 - 3 x3 - 8 x4 + 1 x5 = - 54
E4 - 7 x 1 + 2 x2 + 7 x3 + 6 x4 - 5 x5 = + 15
E5 - 9 x 1 - 7 x2 + 6 x3 + 2 x4 + 3 x5 = +5
+2 -1 +5 +5 -7
15 E1 - 7 x1 + 3 x2 - 1 x3 + 5 x4 - 2 x5 = + 17
E2 - 4 x 1 + 1 x2 + 8 x3 - 1 x4 - 5 x5 = + 61
E3 + 9 x 1 + 7 x2 + 7 x3 + 8 x4 - 7 x5 = + 135
E4 - 8 x 1 - 2 x2 + 8 x3 - 7 x4 - 8 x5 = + 47
E5 - 5 x 1 + 1 x2 + 3 x3 + 1 x4 - 4 x5 = + 37
+7 +8 -4 -5 -6
16 E1 - 5 x 1 + 8 x 2 - 8 x 3 - 3 x 4 - 3 x 5 = + 94
E2 + 2 x 1 + 5 x2 + 8 x3 + 6 x4 - 5 x5 = + 22
E3 - 5 x 1 + 5 x2 - 8 x3 + 8 x4 - 4 x5 = + 21
E4 + 3 x 1 - 7 x2 + 3 x3 - 4 x4 - 9 x5 = + 27
E5 - 7 x 1 + 1 x2 + 2 x3 + 4 x4 + 8 x5 = - 117

5. +3 -8 -5 +7 -5
17 E1 + 6 x1 - 3 x2 - 8 x3 - 5 x4 - 7 x5 = + 82
E2 - 5 x 1 + 7 x2 - 1 x3 - 3 x4 - 6 x5 = - 57
E3 + 3 x 1 + 2 x2 - 2 x3 - 2 x4 + 5 x5 = - 36
E4 + 4 x 1 + 2 x2 + 6 x3 - 3 x4 + 5 x5 = - 80
E5 - 8 x 1 + 3 x2 - 7 x3 + 3 x4 - 5 x5 = + 33
-6 -8 +6 +3 -5
18 E1 + 7 x1 + 2 x2 + 9 x3 + 3 x4 - 2 x5 = + 15
E2 - 4 x 1 + 9 x2 + 7 x3 - 1 x4 + 6 x5 = - 39
E3 - 6 x 1 - 2 x2 - 7 x3 + 7 x4 - 8 x5 = + 71
E4 - 4 x 1 - 6 x2 - 9 x3 - 8 x4 - 7 x5 = + 29
E5 + 9 x 1 + 5 x2 + 9 x3 - 7 x4 + 2 x5 = - 71
-1 -6 -6 -6 +2
19 E1 + 2 x1 - 3 x2 + 3 x3 - 2 x4 + 4 x5 = + 18
E2 + 3 x 1 + 7 x2 + 9 x3 - 2 x4 + 4 x5 = - 79
E3 + 6 x 1 + 2 x2 - 7 x3 - 8 x4 + 2 x5 = + 76
E4 + 1 x 1 + 6 x2 + 2 x3 + 8 x4 + 3 x5 = - 91
E5 - 6 x 1 + 7 x2 - 3 x3 - 9 x4 + 6 x5 = + 48
-6 -9 +2 +4 +1
20 E1 + 6 x 1 - 7 x 2 + 9 x 3 + 5 x 4 - 5 x 5 = + 60
E2 - 4 x 1 - 8 x2 + 5 x3 + 8 x4 - 9 x5 = + 129
E3 + 5 x 1 + 3 x2 - 5 x3 + 4 x4 - 9 x5 = - 60
E4 - 9 x 1 + 6 x2 - 7 x3 + 9 x4 + 3 x5 = + 25
E5 + 4 x 1 - 1 x2 - 9 x3 - 2 x4 + 4 x5 = - 37

6. +2 -7 +6 +1 +2
21 E1 - 4 x1 - 9 x2 - 9 x3 + 3 x4 + 2 x5 = +8
E2 - 3 x 1 - 9 x2 - 2 x3 + 3 x4 + 1 x5 = + 50
E3 + 5 x 1 - 2 x2 - 1 x3 - 2 x4 - 6 x5 = +4
E4 + 2 x 1 - 8 x2 - 1 x3 - 2 x4 - 8 x5 = + 36
E5 + 7 x 1 - 9 x2 + 6 x3 - 2 x4 + 7 x5 = + 125
-8 -2 -3 +8 -7
22 E1 - 1 x1 - 3 x2 - 4 x3 - 6 x4 - 1 x5 = - 15
E2 + 6 x 1 + 2 x2 + 3 x3 - 8 x4 + 9 x5 = - 188
E3 - 6 x 1 - 6 x2 - 2 x3 - 8 x4 + 2 x5 = - 12
E4 - 7 x 1 - 8 x2 + 5 x3 - 9 x4 + 8 x5 = - 71
E5 - 3 x 1 - 8 x2 - 6 x3 - 2 x4 - 4 x5 = + 70
-2 +2 +3 +8 -2
23 E1 + 5 x1 + 4 x2 - 1 x3 + 2 x4 - 9 x5 = + 29
E2 + 4 x 1 + 3 x2 - 5 x3 - 5 x4 + 4 x5 = - 65
E3 + 6 x 1 - 6 x2 - 3 x3 - 9 x4 + 4 x5 = - 113
E4 - 8 x 1 + 8 x2 + 5 x3 - 3 x4 - 6 x5 = + 35
E5 - 3 x 1 - 7 x2 + 2 x3 - 5 x4 + 4 x5 = - 50
-6 +4 -3 -5 +3
24 E1 - 5 x 1 + 6 x 2 + 2 x 3 + 7 x 4 - 3 x 5 = +4
E2 - 4 x 1 + 6 x2 + 7 x3 + 3 x4 - 5 x5 = -3
E3 - 4 x 1 - 6 x2 - 9 x3 - 5 x4 - 3 x5 = + 43
E4 - 5 x 1 - 1 x2 - 8 x3 - 7 x4 + 6 x5 = + 103
E5 - 5 x 1 - 8 x2 - 4 x3 + 7 x4 - 5 x5 = - 40

7. -2 -1 -2 -9 -8
25 E1 - 8 x1 + 4 x2 - 2 x3 + 7 x4 - 1 x5 = - 39
E2 - 5 x 1 - 7 x2 - 3 x3 - 7 x4 + 2 x5 = + 70
E3 + 7 x 1 - 5 x2 - 4 x3 - 2 x4 - 2 x5 = + 33
E4 - 2 x 1 - 2 x2 - 4 x3 - 4 x4 + 9 x5 = - 22
E5 + 8 x 1 + 5 x2 + 2 x3 - 8 x4 - 5 x5 = + 87
+4 -8 +9 -3 +3
26 E1 - 9 x1 - 8 x2 + 2 x3 + 4 x4 + 5 x5 = + 49
E2 - 2 x 1 - 3 x2 - 6 x3 - 8 x4 - 1 x5 = - 17
E3 + 5 x 1 - 4 x2 + 8 x3 - 6 x4 + 8 x5 = + 166
E4 + 4 x 1 + 1 x2 + 8 x3 - 4 x4 - 1 x5 = + 89
E5 + 8 x 1 - 8 x2 - 8 x3 - 5 x4 - 2 x5 = + 33
-8 +3 -4 -3 -2
27 E1 + 6 x1 - 8 x2 - 6 x3 + 6 x4 + 8 x5 = - 82
E2 + 1 x 1 - 2 x2 - 2 x3 + 8 x4 - 2 x5 = - 26
E3 + 2 x 1 - 1 x2 + 6 x3 + 3 x4 - 7 x5 = - 38
E4 + 4 x 1 - 8 x2 + 4 x3 - 8 x4 + 4 x5 = - 56
E5 + 1 x 1 - 1 x2 + 5 x3 - 5 x4 + 4 x5 = - 24
+8 +7 -7 +2 -8
28 E1 - 4 x 1 - 1 x 2 - 2 x 3 + 7 x 4 + 3 x 5 = - 35
E2 - 6 x 1 + 4 x2 + 8 x3 - 8 x4 + 2 x5 = - 108
E3 - 7 x 1 + 6 x2 - 4 x3 + 6 x4 + 7 x5 = - 30
E4 - 1 x 1 - 1 x2 + 3 x3 + 9 x4 + 9 x5 = - 90
E5 + 5 x 1 + 2 x2 + 4 x3 + 6 x4 + 5 x5 = -2

8. +6 +6 -5 -3 +4
29 E1 - 1 x1 - 1 x2 + 4 x3 + 2 x4 - 3 x5 = - 50
E2 + 7 x 1 - 2 x2 - 8 x3 - 9 x4 + 4 x5 = + 113
E3 + 3 x 1 - 4 x2 - 9 x3 + 3 x4 - 3 x5 = + 18
E4 - 6 x 1 + 5 x2 + 3 x3 + 2 x4 + 2 x5 = - 19
E5 - 7 x 1 + 9 x2 - 8 x3 + 6 x4 - 7 x5 = +6
+3 +6 -5 +5 -1
30 E1 - 7 x1 + 2 x2 - 3 x3 - 6 x4 + 6 x5 = - 30
E2 - 6 x 1 - 3 x2 - 4 x3 - 5 x4 - 2 x5 = - 39
E3 - 6 x 1 - 7 x2 - 6 x3 - 7 x4 + 3 x5 = - 68
E4 - 6 x 1 - 3 x2 + 2 x3 + 3 x4 + 6 x5 = - 37
E5 + 7 x 1 + 7 x2 + 6 x3 - 1 x4 + 8 x5 = + 20
-2 +6 +6 +7 +5
31 E1 + 8 x1 - 2 x2 + 2 x3 + 8 x4 + 6 x5 = + 70
E2 + 6 x 1 - 3 x2 + 9 x3 - 3 x4 + 8 x5 = + 43
E3 + 5 x 1 + 2 x2 + 6 x3 - 2 x4 - 5 x5 = -1
E4 + 4 x 1 - 1 x2 - 2 x3 - 5 x4 + 7 x5 = - 26
E5 - 4 x 1 - 3 x2 + 7 x3 - 3 x4 + 2 x5 = + 21
+6 +7 -2 +6 -2
32 E1 - 2 x 1 - 8 x 2 - 3 x 3 - 2 x 4 - 7 x 5 = - 60
E2 + 3 x 1 + 6 x2 + 6 x3 + 4 x4 + 3 x5 = + 66
E3 - 8 x 1 + 1 x2 - 3 x3 + 1 x4 - 7 x5 = - 15
E4 + 8 x 1 + 2 x2 + 6 x3 + 5 x4 + 8 x5 = + 64
E5 + 2 x 1 - 7 x2 + 1 x3 - 3 x4 - 3 x5 = - 51