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((4 + 4) + 4) + 4 = 16

(4 + 4) + (4 + 4) = 16

((4 + 4) + 4) - 4 = 8

(4 + 4) - (4 + 4) = 0

((4 + 4) + 4) * 4 = 48

(4 + 4) * (4 + 4) = 64

((4 + 4) + 4) / 4 = 3

(4 + 4) / (4 + 4) = 1

((4 + 4) - 4) + 4 = 8

(4 + 4) + (4 - 4) = 8

((4 + 4) - 4) - 4 = 0

(4 + 4) - (4 - 4) = 8

((4 + 4) - 4) * 4 = 16

(4 + 4) * (4 - 4) = 0

((4 + 4) - 4) / 4 = 1

(4 + 4) / (4 - 4) = 1.#INF

((4 + 4) * 4) + 4 = 36

(4 + 4) + (4 * 4) = 24

((4 + 4) * 4) - 4 = 28

(4 + 4) - (4 * 4) = -8

((4 + 4) * 4) * 4 = 128

(4 + 4) * (4 * 4) = 128

((4 + 4) * 4) / 4 = 8

(4 + 4) / (4 * 4) = 0.5

((4 + 4) / 4) + 4 = 6

(4 + 4) + (4 / 4) = 9

((4 + 4) / 4) - 4 = -2

(4 + 4) - (4 / 4) = 7

((4 + 4) / 4) * 4 = 8

(4 + 4) * (4 / 4) = 8

((4 + 4) / 4) / 4 = 0.5

(4 + 4) / (4 / 4) = 8

((4 - 4) + 4) + 4 = 8

(4 - 4) + (4 + 4) = 8

((4 - 4) + 4) - 4 = 0

(4 - 4) - (4 + 4) = -8

((4 - 4) + 4) * 4 = 16

(4 - 4) * (4 + 4) = 0

((4 - 4) + 4) / 4 = 1

(4 - 4) / (4 + 4) = 0

((4 - 4) - 4) + 4 = 0

(4 - 4) + (4 - 4) = 0

((4 - 4) - 4) - 4 = -8

(4 - 4) - (4 - 4) = 0

((4 - 4) - 4) * 4 = - 16

(4 - 4) * (4 - 4) = 0

((4 - 4) - 4) / 4 = - 1

(4 - 4) / (4 - 4) = - 1.#IND

((4 - 4) * 4) + 4 = 4

(4 - 4) + (4 * 4) = 16

((4 - 4) * 4) - 4 = -4

(4 - 4) - (4 * 4) = - 16

((4 - 4) * 4) * 4 = 0

(4 - 4) * (4 * 4) = 0

((4 - 4) * 4) / 4 = 0

(4 - 4) / (4 * 4) = 0

((4 - 4) / 4) + 4 = 4

(4 - 4) + (4 / 4) = 1

((4 - 4) / 4) - 4 = -4

(4 - 4) - (4 / 4) = - 1

((4 - 4) / 4) * 4 = 0

(4 - 4) * (4 / 4) = 0

((4 - 4) / 4) / 4 = 0

(4 - 4) / (4 / 4) = 0

((4 * 4) + 4) + 4 = 24

(4 * 4) + (4 + 4) = 24

((4 * 4) + 4) - 4 = 16

(4 * 4) - (4 + 4) = 8

((4 * 4) + 4) * 4 = 80

(4 * 4) * (4 + 4) = 128

((4 * 4) + 4) / 4 = 5

(4 * 4) / (4 + 4) = 2

((4 * 4) - 4) + 4 = 16

(4 * 4) + (4 - 4) = 16

((4 * 4) - 4) - 4 = 8

(4 * 4) - (4 - 4) = 16

((4 * 4) - 4) * 4 = 48

(4 * 4) * (4 - 4) = 0

((4 * 4) - 4) / 4 = 3

(4 * 4) / (4 - 4) = 1.#INF

((4 * 4) * 4) + 4 = 68

(4 * 4) + (4 * 4) = 32

((4 * 4) * 4) - 4 = 60

(4 * 4) - (4 * 4) = 0

((4 * 4) * 4) * 4 = 256

(4 * 4) * (4 * 4) = 256

((4 * 4) * 4) / 4 = 16

(4 * 4) / (4 * 4) = 1

((4 * 4) / 4) + 4 = 8

(4 * 4) + (4 / 4) = 17

((4 * 4) / 4) - 4 = 0

(4 * 4) - (4 / 4) = 15

((4 * 4) / 4) * 4 = 16

(4 * 4) * (4 / 4) = 16

((4 * 4) / 4) / 4 = 1

(4 * 4) / (4 / 4) = 16

((4 / 4) + 4) + 4 = 9

(4 / 4) + (4 + 4) = 9

((4 / 4) + 4) - 4 = 1

(4 / 4) - (4 + 4) = -7

((4 / 4) + 4) * 4 = 20

(4 / 4) * (4 + 4) = 8

((4 / 4) + 4) / 4 = 1.25

(4 / 4) / (4 + 4) = 0. 125

((4 / 4) - 4) + 4 = 1

(4 / 4) + (4 - 4) = 1

((4 / 4) - 4) - 4 = -7

(4 / 4) - (4 - 4) = 1

((4 / 4) - 4) * 4 = - 12

(4 / 4) * (4 - 4) = 0

((4 / 4) - 4) / 4 = -0.75

(4 / 4) / (4 - 4) = 1.#INF

((4 / 4) * 4) + 4 = 8

(4 / 4) + (4 * 4) = 17

((4 / 4) * 4) - 4 = 0

(4 / 4) - (4 * 4) = - 15

((4 / 4) * 4) * 4 = 16

(4 / 4) * (4 * 4) = 16

((4 / 4) * 4) / 4 = 1

(4 / 4) / (4 * 4) = 0.0625

((4 / 4) / 4) + 4 = 4.25

(4 / 4) + (4 / 4) = 2

((4 / 4) / 4) - 4 = -3.75

(4 / 4) - (4 / 4) = 0

((4 / 4) / 4) * 4 = 1

(4 / 4) * (4 / 4) = 1

((4 / 4) / 4) / 4 = 0.0625

(4 / 4) / (4 / 4) = 1

It can be seen that 10 can be obtained in no case.

If it must be equal to 10, then this is the only one: (4-4/4)! +4= 10

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