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6. Whole mixture 32 oz. 123 oz. gold; 16 oz. silver; 3 oz. copper.

7. Whole estate $22500. Wife's portion $6500; eldest son's $6500; 2d son's $5750; youngest son's $3750.

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14. 1st 30 cents; 2d and 3d 15 cents each.

15. Whole number 30. The 1st had 10; 2d 6; 3d 4; 4th 10

16. 1st horse $100; 2d horse $150; chaise $300.

17. Income $1200; he spends $650.

18. 45 sheep.

19. 1st £56; 2d £35; 3d £7.

20. 280 miles in all. 40 miles 1st day; 56 2d day; 70 3d day.

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8. From A to B 40 miles, from B to C 60 miles; from A to

C 100 miles.

9. 1st 105 yds; 2d 120 yds; 3d 135 yds.

10. Each has £150.

11. 100 yards.

12. Each has $140.

13. A $350; B $400; C $475.

14. 30 cows; 60 sheep.

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22. 1st car 18 miles; 2d car 20 miles per hour.

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11. Lower, middle and upper parts respectively, 12, 16 and 20 feet. Whole pole, 48 feet.

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3 18ab5cd+5m2+4cm.

4. 13 a2b2+8 m2-18 m n +3b+4xy.

5. 16bc-3ab+5 ac+12cd+4mn+10 an. 6. 8a-8b+c — 17 d +25.

7.-8a6c-109 d+31e-10ƒ+g.

8. 17 a2b-13 a b2-10 ab 18 c3d-10 d1- 12 m2 n + 11 m n2 + mn.

9. 8a3+1463-7 b x2 - 8 c x2 - x2+13x-9 h y2-2 k y -5ky-9hy +7py2.

SECTION X.

ART. 27.

1st, 2d, performed.

3. 3ab-2c2+3bc.

4.-6ac6ab+9bc+7cd — 12 a m..

5. 8m-6x-ƒ—3 d — 8.

ART. 28.

1. 18 a2x-6bc+10x2-ax+b-6. 2. 10 a 23-36 a2 x2+49 a3 x-6 a1.

3. 26 ab-18 b c2 + 26 b2 + c2 — m2 x + 47. 4. 7 a2 x y — 8 b x2 y +30 c x y2 — 29 y5.

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5. 18 x2 y2 +48 x y +4 b2 c2 + c d3 + c3 d+m. ART. 29.

1. am-(bc-dm).

2. abc-d2-(3my-xy).

3. a+b―(c+d).

4. a2+b2+2ab— (a+b).

5 4 m2 + 12 m n + 9 n3 — (2m+3n).

6. 4ab7am— (x2 — y2).

7. 7mn + x2 - ( p q —- y3).

ART. 31.

SECTION XI

1st, 2d, 3d, performed.

4. 2a2+5a-12.

5. a1+4b4.

6. 37 a2 b c2-12 a2 c4 +22 a c4 d2-21 a2 b2 -- 26 a b c2 d2 a2 a2 a2 . --8 c4 d4.

7. 126 a6 c2+30 a3 b c2—36 b2 c2 + 108 a3 c x y2 — 28 a3 c x2 y +33 a3 c3+72 b c x y2+12 b c x2 y — 24 b c3 — 24 x3 y3 +2 c2x2 y +36 c2 x y2-3 ct.

8. 3 a6b-10 a5 b2 + 17 a4 b3 — 17 a3 b4 +8 a2 b5 — a b6 9. 42 65-217 b3 c2-11 b2c38bc42c5.

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6. 10 a cx + 2 a2 c +5 a b c + 2 x + 6a+8b.

7. 4 a b c + 2 a2 d + 2 b2 d.

bxy+bc2.

8. 4 a x2 - 4 a x y + ac2 + 4 b x2 - 4 b x y + b c2 — a3 c2 m x2

— a c2 x y + a3 d2 m+a d2 x y — a2 c2 mx-c2x2 y + a2 d2 m x + d2 x2 y.

9. 13 63 c2 x-8 62 c3 x2+18 c5 x2.

10. 112b-4bx+a2b+448-16x+14 a2 + 6 a2 b c — 7 a2 c2.

SECTION XII.

ART. 40.

1. Performed.

2. 4 a2 b c d.

3. 5 a2 b3 c d.

4. 12 66 h3

5. 25 m5 y6.
6. 31 a2 b2 m2.

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