1.

1. $\{4\}$

2. $\{0,4\}$

3. $\{-5,0,4\}$

4. $\left\{-5,0,0.2,0.\overline{31},{\displaystyle \frac{1}{2}},4\right\}$

5. $\{\sqrt{7},\sqrt{12}\}$

6. $\left\{-5,0,0.2,0.\overline{31},{\displaystyle \frac{1}{2}},\sqrt{7},\sqrt{12},4\right\}$

2. Additive commutative

3. Distributive

4. Multiplicative commutative

5. Multiplicative identity

6. $-2\le x<3$

7. $x\le 1$

8. [1, 4)

9. $(0,\infty )$

10. $-6$

11. 1

12. 12

13. $\sqrt{15}-1$

14. $-1$

15. $-64$

16. 2

17. $-29$

18. 64

19. $-5$

20. ${\displaystyle \frac{1}{2}}$

21. 16

22. 9

23. ${\displaystyle \frac{216}{125}}$

24. ${\displaystyle \frac{1}{729}}$

25. 250

26. 288

27. 0.7

28. 10

29. 5

30. 9

31. $-5$

32. 9

33. ${\displaystyle \frac{1}{4}}$

34. 10

35. $-1$

36. 64

37. 2

38. 48

39. $-{\displaystyle \frac{5}{4}}$

40. 0

41. ${\displaystyle \frac{1}{4}}$

42. $x^3$

43. $x^{10}$

44. ${\displaystyle \frac{y^2}{x^3}}$

45. ${\displaystyle \frac{x^6}{y^2}}$

46. ${\displaystyle \frac{x^8}{y^4}}$

47. ${\displaystyle \frac{64}{x{y}^2}}$

48. ${\displaystyle \frac{x^2}{343y}}$

49. ${\displaystyle \frac{y^3}{16x^2}}$

50. $10x^{17/12}$

51. $21x^{7/4}$

52. $4x^{5/12}$

53. $2x^5$

54. $2x^2$

55. $x^{10}{y}^2$

56. $22\sqrt{3}$

57. ${\displaystyle \frac{8\sqrt{11}}{11}}$

58. $6x\sqrt{5}$

59. $\sqrt{6}$

60. $25\sqrt[3]{2}$

61. $2x\sqrt{3}$

62. $5x\sqrt{3}$

63. $5x$

64. $\sqrt{2x}$

65. $14\sqrt[3]{5}$

66. $-y\sqrt[3]{7x}$

67. ${\displaystyle \frac{7\sqrt{3}}{3}}$

68. ${\displaystyle \frac{36+4\sqrt{6}}{75}}$

69. $-2+\sqrt{3}$

70. $-{\displaystyle \frac{49+18\sqrt{5}}{71}}$

71. $2.3051\times {10}^{13}$

72. 0.0001595

73. $4x^3-12x^2+9x-6$

74. $5x^3+9x^2-11x+6$

75. $9x^4+11x^3-12x^2+14$

76. $15x^4+7x^3+11x^2+2$

77. $x^2-15x+36$

78. $x^2-14x+49$

79. $x^{10}-4$

80. $16x^2-9$

81. $6x^2-7x-55$

82. $3x^3-24$

83. $(x-5)(x+2)$

84. $(x+1)(x+9)$

85. $(6x-11)(4x+1)$

86. $3(5x+6)(x+1)$

87. $(x+5)(x+11)$

88. $(x-1)(x^2+2)$

89. $(x-1)(x^3+7)$

90. ${(3x+4)}^2$

91. $(5x+4)(2x+3)$

92. $(4x+3)(2x+3)$

93. $(4x-3)(3x+4)$

94. $x^2(x-2)(x+2)$

95. $(2x-7)(2x+7)$

96. $(4x-9)(4x+9)$

97. ${(x+6)}^2$

98. Irreducible

99. ${(8x+3)}^2$

100. $(2x-1)(4x^2+2x+1)$

101. $(2x+3)(4x^2-6x+9)$

102. $7(x-1)(x^2+x+1)$

103. $(x-4)(x+4)(x+5)$

104. $(x-3)(x+3)(x+6)$

105. ${\displaystyle \frac{14}{x-9}}$

106. ${\displaystyle \frac{2(4x-5)}{(x-1)(x+1)(x-2)}}$

107. ${\displaystyle \frac{22-5x}{(x+2)(x+6)(x+8)}}$

108. ${\displaystyle \frac{4x^2+3x+33}{(x-1)(x-6)(x+4)}}$

109. $-{\displaystyle \frac{4x}{(x-1)(x+1)}}$

110. 2

111. ${\displaystyle \frac{2x+3}{2x+1}}$

112. ${\displaystyle \frac{x-2}{x+3}}$

113. ${\displaystyle \frac{x(x-2)}{2(2x+3)}}$

114. ${\displaystyle \frac{3x-2}{x-1}}$

115. ${\displaystyle \frac{(1-x)(1+x+x^2)}{(1+x)(1-x+x^2)}}$

116. $x(x-1)(x+2)$

117. $-1$

118. ${\displaystyle \frac{x+4}{x+1}}$