matsant01/countdown-v2 · Datasets at Hugging Face

difficulty stringclasses 3 values	numbers stringlengths 5 14	target int64 1 130	expression stringlengths 13 30	question stringlengths 354 365
hard	16 17 5 3 1	88	((((16 * 17) - 5) / 3) - 1)	Calculate 88 using all and only the following numbers: 16 17 5 3 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	13 19 7 2 9	50	((((13 + 19) + 7) + 2) + 9)	Calculate 50 using all and only the following numbers: 13 19 7 2 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	9 9 12 7 19	81	((((9 * 9) + 12) + 7) - 19)	Calculate 81 using all and only the following numbers: 9 9 12 7 19. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	18 11 10 11 1	28	((((18 - 11) + 10) + 11) * 1)	Calculate 28 using all and only the following numbers: 18 11 10 11 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	16 8 6 4 10	26	((((16 + 8) / 6) * 4) + 10)	Calculate 26 using all and only the following numbers: 16 8 6 4 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	15 10 10 13 11	37	((((15 + 10) + 10) + 13) - 11)	Calculate 37 using all and only the following numbers: 15 10 10 13 11. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	5 8 8 15 10	37	((((5 * 8) - 8) + 15) - 10)	Calculate 37 using all and only the following numbers: 5 8 8 15 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	6 16 7 9 9	15	((((6 + 16) - 7) - 9) + 9)	Calculate 15 using all and only the following numbers: 6 16 7 9 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 6 10 4 14	50	((((1 * 6) * 10) + 4) - 14)	Calculate 50 using all and only the following numbers: 1 6 10 4 14. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	11 4 1 5 5	16	((((11 + 4) + 1) * 5) / 5)	Calculate 16 using all and only the following numbers: 11 4 1 5 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	6 18 1 9 7	26	((((6 + 18) * 1) + 9) - 7)	Calculate 26 using all and only the following numbers: 6 18 1 9 7. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	10 5 18 12 10	35	((((10 + 5) + 18) + 12) - 10)	Calculate 35 using all and only the following numbers: 10 5 18 12 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	12 1 7 12 8	6	((((12 - 1) - 7) * 12) / 8)	Calculate 6 using all and only the following numbers: 12 1 7 12 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	4 16 12 6 17	17	((((4 - 16) + 12) / 6) + 17)	Calculate 17 using all and only the following numbers: 4 16 12 6 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	16 2 16 8 2	126	((((16 * 2) - 16) * 8) - 2)	Calculate 126 using all and only the following numbers: 16 2 16 8 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	12 18 7 5 2	64	((((12 + 18) + 7) - 5) * 2)	Calculate 64 using all and only the following numbers: 12 18 7 5 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 7 3 2 17	22	((((1 * 7) + 3) / 2) + 17)	Calculate 22 using all and only the following numbers: 1 7 3 2 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	2 5 6 2 12	72	((((2 + 5) * 6) * 2) - 12)	Calculate 72 using all and only the following numbers: 2 5 6 2 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	9 2 10 6 1	65	((((9 - 2) * 10) - 6) + 1)	Calculate 65 using all and only the following numbers: 9 2 10 6 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	4 1 14 7 4	44	((((4 * 1) + 14) - 7) * 4)	Calculate 44 using all and only the following numbers: 4 1 14 7 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	10 8 11 14 17	4	((((10 + 8) - 11) + 14) - 17)	Calculate 4 using all and only the following numbers: 10 8 11 14 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 11 11 6 5	5	((((1 * 11) - 11) * 6) + 5)	Calculate 5 using all and only the following numbers: 1 11 11 6 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	5 3 9 15 4	37	((((5 - 3) * 9) + 15) + 4)	Calculate 37 using all and only the following numbers: 5 3 9 15 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	3 6 5 8 8	23	((((3 * 6) + 5) + 8) - 8)	Calculate 23 using all and only the following numbers: 3 6 5 8 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	11 10 11 1 4	25	((((11 * 10) - 11) + 1) / 4)	Calculate 25 using all and only the following numbers: 11 10 11 1 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	2 15 3 9 17	19	((((2 * 15) - 3) + 9) - 17)	Calculate 19 using all and only the following numbers: 2 15 3 9 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	3 10 4 12 12	9	((((3 + 10) - 4) + 12) - 12)	Calculate 9 using all and only the following numbers: 3 10 4 12 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	19 10 2 1 16	41	((((19 + 10) * 2) - 1) - 16)	Calculate 41 using all and only the following numbers: 19 10 2 1 16. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 5 19 5 6	60	((((1 - 5) + 19) - 5) * 6)	Calculate 60 using all and only the following numbers: 1 5 19 5 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	2 2 3 6 1	3	((((2 + 2) * 3) / 6) + 1)	Calculate 3 using all and only the following numbers: 2 2 3 6 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 7 9 3 9	4	((((1 - 7) - 9) / 3) + 9)	Calculate 4 using all and only the following numbers: 1 7 9 3 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	19 16 17 16 1	3	((((19 - 16) + 17) - 16) - 1)	Calculate 3 using all and only the following numbers: 19 16 17 16 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	6 7 1 6 14	62	((((6 * 7) / 1) + 6) + 14)	Calculate 62 using all and only the following numbers: 6 7 1 6 14. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	5 5 2 4 11	19	((((5 / 5) * 2) * 4) + 11)	Calculate 19 using all and only the following numbers: 5 5 2 4 11. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	6 16 4 7 2	17	((((6 + 16) + 4) - 7) - 2)	Calculate 17 using all and only the following numbers: 6 16 4 7 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	7 18 11 3 3	45	((((7 + 18) - 11) * 3) + 3)	Calculate 45 using all and only the following numbers: 7 18 11 3 3. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	6 8 9 9 1	48	((((6 * 8) + 9) - 9) / 1)	Calculate 48 using all and only the following numbers: 6 8 9 9 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	6 9 1 11 8	56	((((6 * 9) - 1) + 11) - 8)	Calculate 56 using all and only the following numbers: 6 9 1 11 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 18 6 10 6	20	((((1 * 18) + 6) - 10) + 6)	Calculate 20 using all and only the following numbers: 1 18 6 10 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	14 14 10 9 6	5	((((14 / 14) - 10) / 9) + 6)	Calculate 5 using all and only the following numbers: 14 14 10 9 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	15 15 13 10 8	31	((((15 / 15) * 13) + 10) + 8)	Calculate 31 using all and only the following numbers: 15 15 13 10 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	9 18 17 12 1	96	((((9 - 18) + 17) * 12) / 1)	Calculate 96 using all and only the following numbers: 9 18 17 12 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	19 5 10 13 13	105	((((19 * 5) + 10) + 13) - 13)	Calculate 105 using all and only the following numbers: 19 5 10 13 13. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	4 4 12 10 2	20	((((4 - 4) + 12) + 10) - 2)	Calculate 20 using all and only the following numbers: 4 4 12 10 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	8 18 14 8 5	7	((((8 - 18) + 14) + 8) - 5)	Calculate 7 using all and only the following numbers: 8 18 14 8 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	18 4 6 11 10	15	((((18 + 4) - 6) - 11) + 10)	Calculate 15 using all and only the following numbers: 18 4 6 11 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	4 10 7 2 1	20	((((4 + 10) + 7) - 2) + 1)	Calculate 20 using all and only the following numbers: 4 10 7 2 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	12 3 4 16 8	16	((((12 / 3) + 4) + 16) - 8)	Calculate 16 using all and only the following numbers: 12 3 4 16 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	6 14 8 19 2	97	((((6 * 14) - 8) + 19) + 2)	Calculate 97 using all and only the following numbers: 6 14 8 19 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	5 3 5 11 10	76	((((5 * 3) * 5) + 11) - 10)	Calculate 76 using all and only the following numbers: 5 3 5 11 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	8 5 19 1 9	23	((((8 + 5) + 19) / 1) - 9)	Calculate 23 using all and only the following numbers: 8 5 19 1 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	9 18 3 14 5	21	((((9 + 18) + 3) - 14) + 5)	Calculate 21 using all and only the following numbers: 9 18 3 14 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	13 19 4 11 9	81	((((13 - 19) + 4) + 11) * 9)	Calculate 81 using all and only the following numbers: 13 19 4 11 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	16 4 15 4 17	10	((((16 / 4) - 15) + 4) + 17)	Calculate 10 using all and only the following numbers: 16 4 15 4 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	7 17 1 4 3	120	((((7 * 17) * 1) + 4) - 3)	Calculate 120 using all and only the following numbers: 7 17 1 4 3. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	11 5 5 10 15	19	((((11 * 5) * 5) + 10) / 15)	Calculate 19 using all and only the following numbers: 11 5 5 10 15. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	9 11 3 15 2	85	((((9 * 11) + 3) - 15) - 2)	Calculate 85 using all and only the following numbers: 9 11 3 15 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	7 8 10 14 18	62	((((7 * 8) + 10) + 14) - 18)	Calculate 62 using all and only the following numbers: 7 8 10 14 18. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	15 13 1 2 1	15	((((15 + 13) / 1) / 2) + 1)	Calculate 15 using all and only the following numbers: 15 13 1 2 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	11 14 17 3 7	4	((((11 + 14) - 17) + 3) - 7)	Calculate 4 using all and only the following numbers: 11 14 17 3 7. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	17 2 6 16 5	2	((((17 + 2) - 6) - 16) + 5)	Calculate 2 using all and only the following numbers: 17 2 6 16 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	4 17 1 7 16	92	((((4 * 17) + 1) + 7) + 16)	Calculate 92 using all and only the following numbers: 4 17 1 7 16. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	9 6 12 7 10	31	((((9 + 6) - 12) * 7) + 10)	Calculate 31 using all and only the following numbers: 9 6 12 7 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 3 4 16 6	38	((((1 - 3) + 4) * 16) + 6)	Calculate 38 using all and only the following numbers: 1 3 4 16 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	10 6 7 13 16	26	((((10 + 6) + 7) - 13) + 16)	Calculate 26 using all and only the following numbers: 10 6 7 13 16. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	13 9 15 2 6	15	((((13 + 9) - 15) + 2) + 6)	Calculate 15 using all and only the following numbers: 13 9 15 2 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	12 17 5 17 1	40	((((12 + 17) - 5) + 17) - 1)	Calculate 40 using all and only the following numbers: 12 17 5 17 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 11 14 4 5	5	((((1 - 11) + 14) / 4) * 5)	Calculate 5 using all and only the following numbers: 1 11 14 4 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	13 9 1 9 6	78	((((13 * 9) / 1) / 9) * 6)	Calculate 78 using all and only the following numbers: 13 9 1 9 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	5 1 9 10 5	25	((((5 - 1) - 9) + 10) * 5)	Calculate 25 using all and only the following numbers: 5 1 9 10 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	7 3 6 2 10	27	((((7 * 3) - 6) + 2) + 10)	Calculate 27 using all and only the following numbers: 7 3 6 2 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	8 5 3 1 1	119	((((8 * 5) * 3) / 1) - 1)	Calculate 119 using all and only the following numbers: 8 5 3 1 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	8 11 19 10 12	85	((((8 * 11) + 19) - 10) - 12)	Calculate 85 using all and only the following numbers: 8 11 19 10 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	16 2 3 8 4	3	((((16 * 2) * 3) / 8) / 4)	Calculate 3 using all and only the following numbers: 16 2 3 8 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	1 14 8 5 2	109	((((1 * 14) * 8) - 5) + 2)	Calculate 109 using all and only the following numbers: 1 14 8 5 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	3 17 4 3 12	65	((((3 + 17) * 4) - 3) - 12)	Calculate 65 using all and only the following numbers: 3 17 4 3 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	16 3 2 9 4	29	((((16 * 3) / 2) + 9) - 4)	Calculate 29 using all and only the following numbers: 16 3 2 9 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	14 2 3 5 2	52	((((14 * 2) + 3) - 5) * 2)	Calculate 52 using all and only the following numbers: 14 2 3 5 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	4 18 4 11 6	48	((((4 + 18) * 4) / 11) * 6)	Calculate 48 using all and only the following numbers: 4 18 4 11 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.
hard	5 8 12 17 1	10	((((5 * 8) - 12) - 17) - 1)	Calculate 10 using all and only the following numbers: 5 8 12 17 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

16 17 5 3 1

88

((((16 * 17) - 5) / 3) - 1)

Calculate 88 using all and only the following numbers: 16 17 5 3 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

13 19 7 2 9

50

((((13 + 19) + 7) + 2) + 9)

Calculate 50 using all and only the following numbers: 13 19 7 2 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

9 9 12 7 19

81

((((9 * 9) + 12) + 7) - 19)

Calculate 81 using all and only the following numbers: 9 9 12 7 19. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

18 11 10 11 1

28

((((18 - 11) + 10) + 11) * 1)

Calculate 28 using all and only the following numbers: 18 11 10 11 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

16 8 6 4 10

26

((((16 + 8) / 6) * 4) + 10)

Calculate 26 using all and only the following numbers: 16 8 6 4 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

15 10 10 13 11

37

((((15 + 10) + 10) + 13) - 11)

Calculate 37 using all and only the following numbers: 15 10 10 13 11. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

5 8 8 15 10

37

((((5 * 8) - 8) + 15) - 10)

Calculate 37 using all and only the following numbers: 5 8 8 15 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

6 16 7 9 9

15

((((6 + 16) - 7) - 9) + 9)

Calculate 15 using all and only the following numbers: 6 16 7 9 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 6 10 4 14

50

((((1 * 6) * 10) + 4) - 14)

Calculate 50 using all and only the following numbers: 1 6 10 4 14. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

11 4 1 5 5

16

((((11 + 4) + 1) * 5) / 5)

Calculate 16 using all and only the following numbers: 11 4 1 5 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

6 18 1 9 7

26

((((6 + 18) * 1) + 9) - 7)

Calculate 26 using all and only the following numbers: 6 18 1 9 7. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

10 5 18 12 10

35

((((10 + 5) + 18) + 12) - 10)

Calculate 35 using all and only the following numbers: 10 5 18 12 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

12 1 7 12 8

6

((((12 - 1) - 7) * 12) / 8)

Calculate 6 using all and only the following numbers: 12 1 7 12 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

4 16 12 6 17

17

((((4 - 16) + 12) / 6) + 17)

Calculate 17 using all and only the following numbers: 4 16 12 6 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

16 2 16 8 2

126

((((16 * 2) - 16) * 8) - 2)

Calculate 126 using all and only the following numbers: 16 2 16 8 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

12 18 7 5 2

64

((((12 + 18) + 7) - 5) * 2)

Calculate 64 using all and only the following numbers: 12 18 7 5 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 7 3 2 17

22

((((1 * 7) + 3) / 2) + 17)

Calculate 22 using all and only the following numbers: 1 7 3 2 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

2 5 6 2 12

72

((((2 + 5) * 6) * 2) - 12)

Calculate 72 using all and only the following numbers: 2 5 6 2 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

9 2 10 6 1

65

((((9 - 2) * 10) - 6) + 1)

Calculate 65 using all and only the following numbers: 9 2 10 6 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

4 1 14 7 4

44

((((4 * 1) + 14) - 7) * 4)

Calculate 44 using all and only the following numbers: 4 1 14 7 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

10 8 11 14 17

4

((((10 + 8) - 11) + 14) - 17)

Calculate 4 using all and only the following numbers: 10 8 11 14 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 11 11 6 5

5

((((1 * 11) - 11) * 6) + 5)

Calculate 5 using all and only the following numbers: 1 11 11 6 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

5 3 9 15 4

37

((((5 - 3) * 9) + 15) + 4)

Calculate 37 using all and only the following numbers: 5 3 9 15 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

3 6 5 8 8

23

((((3 * 6) + 5) + 8) - 8)

Calculate 23 using all and only the following numbers: 3 6 5 8 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

11 10 11 1 4

25

((((11 * 10) - 11) + 1) / 4)

Calculate 25 using all and only the following numbers: 11 10 11 1 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

2 15 3 9 17

19

((((2 * 15) - 3) + 9) - 17)

Calculate 19 using all and only the following numbers: 2 15 3 9 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

3 10 4 12 12

9

((((3 + 10) - 4) + 12) - 12)

Calculate 9 using all and only the following numbers: 3 10 4 12 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

19 10 2 1 16

41

((((19 + 10) * 2) - 1) - 16)

Calculate 41 using all and only the following numbers: 19 10 2 1 16. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 5 19 5 6

60

((((1 - 5) + 19) - 5) * 6)

Calculate 60 using all and only the following numbers: 1 5 19 5 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

2 2 3 6 1

3

((((2 + 2) * 3) / 6) + 1)

Calculate 3 using all and only the following numbers: 2 2 3 6 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 7 9 3 9

4

((((1 - 7) - 9) / 3) + 9)

Calculate 4 using all and only the following numbers: 1 7 9 3 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

19 16 17 16 1

3

((((19 - 16) + 17) - 16) - 1)

Calculate 3 using all and only the following numbers: 19 16 17 16 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

6 7 1 6 14

62

((((6 * 7) / 1) + 6) + 14)

Calculate 62 using all and only the following numbers: 6 7 1 6 14. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

5 5 2 4 11

19

((((5 / 5) * 2) * 4) + 11)

Calculate 19 using all and only the following numbers: 5 5 2 4 11. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

6 16 4 7 2

17

((((6 + 16) + 4) - 7) - 2)

Calculate 17 using all and only the following numbers: 6 16 4 7 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

7 18 11 3 3

45

((((7 + 18) - 11) * 3) + 3)

Calculate 45 using all and only the following numbers: 7 18 11 3 3. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

6 8 9 9 1

48

((((6 * 8) + 9) - 9) / 1)

Calculate 48 using all and only the following numbers: 6 8 9 9 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

6 9 1 11 8

56

((((6 * 9) - 1) + 11) - 8)

Calculate 56 using all and only the following numbers: 6 9 1 11 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 18 6 10 6

20

((((1 * 18) + 6) - 10) + 6)

Calculate 20 using all and only the following numbers: 1 18 6 10 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

14 14 10 9 6

5

((((14 / 14) - 10) / 9) + 6)

Calculate 5 using all and only the following numbers: 14 14 10 9 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

15 15 13 10 8

31

((((15 / 15) * 13) + 10) + 8)

Calculate 31 using all and only the following numbers: 15 15 13 10 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

9 18 17 12 1

96

((((9 - 18) + 17) * 12) / 1)

Calculate 96 using all and only the following numbers: 9 18 17 12 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

19 5 10 13 13

105

((((19 * 5) + 10) + 13) - 13)

Calculate 105 using all and only the following numbers: 19 5 10 13 13. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

4 4 12 10 2

20

((((4 - 4) + 12) + 10) - 2)

Calculate 20 using all and only the following numbers: 4 4 12 10 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

8 18 14 8 5

7

((((8 - 18) + 14) + 8) - 5)

Calculate 7 using all and only the following numbers: 8 18 14 8 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

18 4 6 11 10

15

((((18 + 4) - 6) - 11) + 10)

Calculate 15 using all and only the following numbers: 18 4 6 11 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

4 10 7 2 1

20

((((4 + 10) + 7) - 2) + 1)

Calculate 20 using all and only the following numbers: 4 10 7 2 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

12 3 4 16 8

16

((((12 / 3) + 4) + 16) - 8)

Calculate 16 using all and only the following numbers: 12 3 4 16 8. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

6 14 8 19 2

97

((((6 * 14) - 8) + 19) + 2)

Calculate 97 using all and only the following numbers: 6 14 8 19 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

5 3 5 11 10

76

((((5 * 3) * 5) + 11) - 10)

Calculate 76 using all and only the following numbers: 5 3 5 11 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

8 5 19 1 9

23

((((8 + 5) + 19) / 1) - 9)

Calculate 23 using all and only the following numbers: 8 5 19 1 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

9 18 3 14 5

21

((((9 + 18) + 3) - 14) + 5)

Calculate 21 using all and only the following numbers: 9 18 3 14 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

13 19 4 11 9

81

((((13 - 19) + 4) + 11) * 9)

Calculate 81 using all and only the following numbers: 13 19 4 11 9. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

16 4 15 4 17

10

((((16 / 4) - 15) + 4) + 17)

Calculate 10 using all and only the following numbers: 16 4 15 4 17. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

7 17 1 4 3

120

((((7 * 17) * 1) + 4) - 3)

Calculate 120 using all and only the following numbers: 7 17 1 4 3. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

11 5 5 10 15

19

((((11 * 5) * 5) + 10) / 15)

Calculate 19 using all and only the following numbers: 11 5 5 10 15. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

9 11 3 15 2

85

((((9 * 11) + 3) - 15) - 2)

Calculate 85 using all and only the following numbers: 9 11 3 15 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

7 8 10 14 18

62

((((7 * 8) + 10) + 14) - 18)

Calculate 62 using all and only the following numbers: 7 8 10 14 18. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

15 13 1 2 1

15

((((15 + 13) / 1) / 2) + 1)

Calculate 15 using all and only the following numbers: 15 13 1 2 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

11 14 17 3 7

4

((((11 + 14) - 17) + 3) - 7)

Calculate 4 using all and only the following numbers: 11 14 17 3 7. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

17 2 6 16 5

2

((((17 + 2) - 6) - 16) + 5)

Calculate 2 using all and only the following numbers: 17 2 6 16 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

4 17 1 7 16

92

((((4 * 17) + 1) + 7) + 16)

Calculate 92 using all and only the following numbers: 4 17 1 7 16. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

9 6 12 7 10

31

((((9 + 6) - 12) * 7) + 10)

Calculate 31 using all and only the following numbers: 9 6 12 7 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 3 4 16 6

38

((((1 - 3) + 4) * 16) + 6)

Calculate 38 using all and only the following numbers: 1 3 4 16 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

10 6 7 13 16

26

((((10 + 6) + 7) - 13) + 16)

Calculate 26 using all and only the following numbers: 10 6 7 13 16. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

13 9 15 2 6

15

((((13 + 9) - 15) + 2) + 6)

Calculate 15 using all and only the following numbers: 13 9 15 2 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

12 17 5 17 1

40

((((12 + 17) - 5) + 17) - 1)

Calculate 40 using all and only the following numbers: 12 17 5 17 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 11 14 4 5

5

((((1 - 11) + 14) / 4) * 5)

Calculate 5 using all and only the following numbers: 1 11 14 4 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

13 9 1 9 6

78

((((13 * 9) / 1) / 9) * 6)

Calculate 78 using all and only the following numbers: 13 9 1 9 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

5 1 9 10 5

25

((((5 - 1) - 9) + 10) * 5)

Calculate 25 using all and only the following numbers: 5 1 9 10 5. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

7 3 6 2 10

27

((((7 * 3) - 6) + 2) + 10)

Calculate 27 using all and only the following numbers: 7 3 6 2 10. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

8 5 3 1 1

119

((((8 * 5) * 3) / 1) - 1)

Calculate 119 using all and only the following numbers: 8 5 3 1 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

8 11 19 10 12

85

((((8 * 11) + 19) - 10) - 12)

Calculate 85 using all and only the following numbers: 8 11 19 10 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

16 2 3 8 4

3

((((16 * 2) * 3) / 8) / 4)

Calculate 3 using all and only the following numbers: 16 2 3 8 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

1 14 8 5 2

109

((((1 * 14) * 8) - 5) + 2)

Calculate 109 using all and only the following numbers: 1 14 8 5 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

3 17 4 3 12

65

((((3 + 17) * 4) - 3) - 12)

Calculate 65 using all and only the following numbers: 3 17 4 3 12. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

16 3 2 9 4

29

((((16 * 3) / 2) + 9) - 4)

Calculate 29 using all and only the following numbers: 16 3 2 9 4. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

14 2 3 5 2

52

((((14 * 2) + 3) - 5) * 2)

Calculate 52 using all and only the following numbers: 14 2 3 5 2. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

4 18 4 11 6

48

((((4 + 18) * 4) / 11) * 6)

Calculate 48 using all and only the following numbers: 4 18 4 11 6. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.

hard

5 8 12 17 1

10

((((5 * 8) - 12) - 17) - 1)

Calculate 10 using all and only the following numbers: 5 8 12 17 1. Provide your solution as a arithmetic expression (no '=' sign). Use '*' for multiplication and '/' for division. Your expression must contain all and only the numbers of the list. Numbers should be used exactly as many times as they appear in the list. No number outside the list can be used.