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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.

SECTION V.

ART. 13.

1st, 2d, 3d, performed.

4. A $300; B $200.

5. Man 40; woman 30 years.

6. Man's age 50; woman's 45 years.

7. £50,

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

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3. 18 ab+5cd+5m2+4 cm.

4. 13 a2b2+8 m2-18 m n +36+4xy.

5. 16bc-3ab+5ac+12cd+4mn +10 an.
6. 8a-8b+c-17 d+25.
7.-8a6c-109d+31e-10f+g.

8. 17 a2b-13 a 62-10 ab+ 18 c3d-10 d4-12 m2 n + 11 m n2+mn.

9. 8a31463-7 b x2-8 cx2x2+13x-9 h y2-2 ky2 -5ky-9hy +7py2.

SECTION X.

ART. 27.

1st, 2d, performed.

3. 3ab-2c2+3bc.

4.-6ac-6ab+9bc7cd-12am.

5. 8m-6x-f-3d-8.

ART. 28.

1. 18 a2x-6bc+10 x2-ax+b-6.
2. 10 a x3-36 a2x2+49 a3 x-6 a1.
3. 26 ab-18 b c2+26b2+c2 m2 x + 47.
4. 7a2xy-8bx2y+30 cxy2-29 y5.

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+12mn+9n3-(2m+3n). 6. 4ab7am-(x2-y2).

~ 7mn + x2 - ( p q —- y3).

ART. 31.

SECTION XI.

1st, 2d, 3d, performed.

4. 2 a25a-12.

5. a4+464.

6. 37 a2 b c2-12 a2 c4 +22 a c1 d2-21 a2 b2 - 26 a b c2 d2 -8c4 d4.

7. 126 a6 c2+30 a3 b c2—36 b2 c2 + 108 a3 cx y2-28 a3 c x2 y +33 a3 c3+72b cx y2+12b cx2y-24 b c3-24 x3 y3 +2 c2x2 y +36 c2 x y2-3 c4.

· .

8. 3 a6b-10 a5 b2 + 17 a4 b3 — 17 a3 b4 +8 a2 b5 — a b6 9. 4265-217 63 c2-11 b2c38bc4-2c5.

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5. 7x3 + x2 y 12 x y2-6 y3.

6. 10 a cx+2a2c+5 a b c +2x+6a+8 b.

7. 4abc+2 a2 d + 2 b2 d.

8. 4 ax2-4 ax y + ac2 + 4 b x2 - 4 b x y + b c2 — a3 c2 m — ac2 x y + a3 d2 m + a d2 x y -- a2 c2 m x — c2x2 y + a2 d2 m x + d2 x2 y.

9. 13 63 c2 x-8b2 c3 x2+18 c5 x2.

c2

10. 112b-4bx+a2 b+448-16x+14 a2+6a2bc7a2 c2.

SECTION XII.

ART. 40.

1. Performed.

2. 4 a2 b c d.

3. 5 a2 b3 c d.

4. 12 66 73

5. 25 m5 y6.

6. 31 a2 b2 m2.

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