1:4x+5y=47, 1x+3y=17
2:2x+1y=5, 2x+4y=8
3:4x+4y=44, 1x+5y=23
4:3x+4y=52, 5x+5y=75
5:1x+1y=5, 2x+5y=13
6:5x+5y=95, 4x+3y=67
7:3x+1y=15, 5x+5y=55
8:5x+5y=65, 4x+2y=38
9:4x+2y=54, 4x+3y=61
10:1x+1y=9, 4x+1y=33
11:5x+1y=43, 4x+3y=41
12:5x+3y=65, 4x+1y=45
13:4x+4y=44, 1x+4y=14
14:5x+5y=75, 2x+1y=25
15:3x+2y=20, 3x+5y=41
16:1x+4y=42, 5x+4y=66
17:5x+3y=51, 2x+5y=47
18:3x+2y=22, 2x+5y=33
19:1x+3y=21, 2x+4y=32
20:4x+3y=23, 4x+1y=13
21:3x+4y=50, 4x+4y=60
22:4x+3y=61, 3x+4y=58
23:1x+2y=6, 3x+2y=14
24:3x+5y=37, 4x+4y=36
25:2x+4y=12, 2x+3y=11
26:5x+1y=23, 2x+3y=17
27:3x+4y=52, 4x+2y=46
28:3x+1y=31, 5x+5y=55
29:3x+3y=27, 2x+4y=32
30:2x+3y=31, 5x+4y=60
31:5x+1y=59, 1x+3y=37
32:4x+5y=53, 1x+5y=47
33:1x+2y=24, 1x+1y=17
34:5x+1y=41, 3x+3y=27
35:1x+5y=7, 2x+2y=6
36:5x+4y=76, 2x+2y=34
37:4x+3y=41, 5x+4y=52
38:1x+1y=5, 2x+1y=7
39:2x+3y=35, 2x+4y=40
40:4x+4y=44, 4x+3y=43
1: x^2+5x+6=0 
2: x^2+13x+40=0 
3: x^2+13x+36=0 
4: x^2+17x+72=0 
5: x^2+13x+42=0 
6: x^2+11x+28=0 
7: x^2+7x+6=0 
8: x^2+17x+70=0 
9: x^2+5x+4=0 
10: x^2+9x+8=0 
11: x^2+13x+42=0 
12: x^2+11x+30=0 
13: x^2+13x+42=0 
14: x^2+7x+10=0 
15: x^2+13x+30=0 
16: x^2+9x+8=0 
17: x^2+7x+12=0 
18: x^2+15x+50=0 
19: x^2+7x+12=0 
20: x^2+13x+42=0 
21: x^2+13x+42=0 
22: x^2+5x+6=0 
23: x^2+7x+12=0 
24: x^2+11x+18=0 
25: x^2+9x+20=0 
26: x^2+13x+36=0 
27: x^2+9x+14=0 
28: x^2+11x+28=0 
29: x^2+11x+28=0 
30: x^2+15x+56=0 
1: 7, 15, 23,..., 207
2: 5, 20, 80,...,320
3: 2, 4, 8,...,32768
4: 10, 17, 24,..., 248
5: 4, 11, 18,..., 158
6: 4, 13, 22,..., 274
7: 8, 15, 22,..., 260
8: 4, 12, 36,...,36
9: 6, 9, 12,..., 138
10: 2, 7, 12,..., 122
11: 8, 9, 10,..., 44
12: 2, 4, 8,...,2048
13: 10, 15, 20,..., 170
14: 8, 11, 14,..., 110
15: 2, 9, 16,..., 142
16: 10, 13, 16,..., 100
17: 8, 11, 14,..., 128
18: 4, 5, 6,..., 24
19: 8, 9, 10,..., 54
20: 4, 7, 10,..., 76
21: 10, 19, 28,..., 370
22: 10, 13, 16,..., 130
23: 6, 9, 12,..., 78
24: 6, 11, 16,..., 136
25: 2, 4, 8,...,524288
26: 6, 9, 12,..., 78
27: 10, 13, 16,..., 136
28: 2, 11, 20,..., 380
29: 6, 18, 54,...,354294
30: 8, 9, 10,..., 46
31: 10, 30, 90,...,90
32: 2, 5, 8,..., 86
33: 10, 11, 12,..., 40
34: 2, 11, 20,..., 344
35: 6, 7, 8,..., 32
36: 4, 9, 14,..., 234
37: 10, 19, 28,..., 208
38: 8, 15, 22,..., 344
39: 2, 3, 4,..., 28
40: 10, 13, 16,..., 82
41: 2, 9, 16,..., 212
42: 2, 8, 32,...,0
43: 10, 13, 16,..., 154
44: 6, 7, 8,..., 46
45: 4, 7, 10,..., 88
46: 8, 9, 10,..., 54
47: 10, 20, 40,...,2621440
48: 10, 17, 24,..., 248
49: 10, 13, 16,..., 124
50: 6, 15, 24,..., 240
1: lim as x goes to 8 of (9x+10)/(5x+2)
2: lim as x goes to 10 of (3x+6)/(1x+4)
3: limit as x goes to 2 of (x-2)/(x^2+(-7x)+10)
4: lim as x goes to 3 of (6x+7)/(2x+9)
5: limit as x goes to 9 of (x-9)/(x^2+(-15x)+54)
6: limit as x goes to 2 of (x-2)/(x^2+(-9x)+14)
7: lim as x goes to 3 of (2x+7)/(6x+1)
8: limit as x goes to 5 of (x-5)/(x^2+(-13x)+40)
9: limit as x goes to 4 of (x-4)/(x^2+(-11x)+28)
10: limit as x goes to 3 of (x-3)/(x^2+(-7x)+12)
11: limit as x goes to 2 of (x-2)/(x^2+(-9x)+14)
12: lim as x goes to 7 of (4x+3)/(8x+3)
13: limit as x goes to 5 of (x-5)/(x^2+(-11x)+30)
14: lim as x goes to 2 of (1x+4)/(7x+8)
15: limit as x goes to 6 of (x-6)/(x^2+(-9x)+18)
16: limit as x goes to 7 of (x-7)/(x^2+(-13x)+42)
17: limit as x goes to 2 of (x-2)/(x^2+(-3x)+2)
18: limit as x goes to 7 of (x-7)/(x^2+(-17x)+70)
19: lim as x goes to 4 of (9x+6)/(1x+8)
20: limit as x goes to 4 of (x-4)/(x^2+(-7x)+12)
21: limit as x goes to 9 of (x-9)/(x^2+(-13x)+36)
22: limit as x goes to 8 of (x-8)/(x^2+(-11x)+24)
23: lim as x goes to 7 of (2x+9)/(10x+1)
24: limit as x goes to 1 of (x-1)/(x^2+(-3x)+2)
25: lim as x goes to 10 of (1x+10)/(7x+2)
26: limit as x goes to 6 of (x-6)/(x^2+(-13x)+42)
27: limit as x goes to 5 of (x-5)/(x^2+(-7x)+10)
28: limit as x goes to 4 of (x-4)/(x^2+(-7x)+12)
29: limit as x goes to 1 of (x-1)/(x^2+(-7x)+6)
30: limit as x goes to 10 of (x-10)/(x^2+(-15x)+50)
31: limit as x goes to 9 of (x-9)/(x^2+(-19x)+90)
32: limit as x goes to 10 of (x-10)/(x^2+(-11x)+10)
33: limit as x goes to 1 of (x-1)/(x^2+(-5x)+4)
34: limit as x goes to 10 of (x-10)/(x^2+(-13x)+30)
35: limit as x goes to 3 of (x-3)/(x^2+(-11x)+24)
36: limit as x goes to 2 of (x-2)/(x^2+(-5x)+6)
37: limit as x goes to 5 of (x-5)/(x^2+(-13x)+40)
38: limit as x goes to 4 of (x-4)/(x^2+(-9x)+20)
39: limit as x goes to 3 of (x-3)/(x^2+(-11x)+24)
40: limit as x goes to 10 of (x-10)/(x^2+(-17x)+70)
1:How many different ways to pick 5 things from 8?
2:How many different ways to pick 3 things from 6?
3:How many different ways to pick 9 things from 10?
4:How many different ways to pick 1 things from 8?
5:How many different ways to pick 7 things from 10?
6:How many different ways to pick 4 things from 7?
7:How many different ways to pick 3 things from 8?
8:How many different ways to pick 4 things from 7?
9:How many different ways to pick 3 things from 4?
10:How many different ways to pick 4 things from 5?
11:How many different ways to pick 3 things from 10?
12:How many different ways to pick 1 things from 6?
13:How many different ways to pick 2 things from 9?
14:How many different ways to pick 1 things from 8?
15:How many different ways to pick 2 things from 3?
16:How many different ways to pick 1 things from 10?
17:How many different ways to pick 6 things from 9?
18:How many different ways to pick 1 things from 4?
19:How many different ways to pick 7 things from 8?
20:How many different ways to pick 7 things from 10?
1:x=8 y=3
2:x=2 y=1
3:x=8 y=3
4:x=8 y=7
5:x=4 y=1
6:x=10 y=9
7:x=2 y=9
8:x=6 y=7
9:x=10 y=7
10:x=8 y=1
11:x=8 y=3
12:x=10 y=5
13:x=10 y=1
14:x=10 y=5
15:x=2 y=7
16:x=6 y=9
17:x=6 y=7
18:x=4 y=5
19:x=6 y=5
20:x=2 y=5
21:x=10 y=5
22:x=10 y=7
23:x=4 y=1
24:x=4 y=5
25:x=4 y=1
26:x=4 y=3
27:x=8 y=7
28:x=10 y=1
29:x=2 y=7
30:x=8 y=5
31:x=10 y=9
32:x=2 y=9
33:x=10 y=7
34:x=8 y=1
35:x=2 y=1
36:x=8 y=9
37:x=8 y=3
38:x=2 y=3
39:x=10 y=5
40:x=10 y=1
1:x=-2 or x=-3
2:x=-8 or x=-5
3:x=-4 or x=-9
4:x=-8 or x=-9
5:x=-6 or x=-7
6:x=-4 or x=-7
7:x=-6 or x=-1
8:x=-10 or x=-7
9:x=-4 or x=-1
10:x=-8 or x=-1
11:x=-6 or x=-7
12:x=-6 or x=-5
13:x=-6 or x=-7
14:x=-2 or x=-5
15:x=-10 or x=-3
16:x=-8 or x=-1
17:x=-4 or x=-3
18:x=-10 or x=-5
19:x=-4 or x=-3
20:x=-6 or x=-7
21:x=-6 or x=-7
22:x=-2 or x=-3
23:x=-4 or x=-3
24:x=-2 or x=-9
25:x=-4 or x=-5
26:x=-4 or x=-9
27:x=-2 or x=-7
28:x=-4 or x=-7
29:x=-4 or x=-7
30:x=-8 or x=-7
1: sum=2782
2: sum=425
3: sum=65534
4: sum=4515
5: sum=1863
6: sum=4309
7: sum=4958
8: sum=52
9: sum=3240
10: sum=1550
11: sum=962
12: sum=4094
13: sum=2970
14: sum=2065
15: sum=1512
16: sum=1705
17: sum=2788
18: sum=294
19: sum=1457
20: sum=1000
21: sum=7790
22: sum=2870
23: sum=1050
24: sum=1917
25: sum=1048574
26: sum=1050
27: sum=3139
28: sum=8213
29: sum=531438
30: sum=1053
31: sum=130
32: sum=1276
33: sum=775
34: sum=6747
35: sum=513
36: sum=5593
37: sum=2507
38: sum=8624
39: sum=405
40: sum=1150
41: sum=3317
42: sum=0
43: sum=4018
44: sum=1066
45: sum=1334
46: sum=1457
47: sum=5242870
48: sum=4515
49: sum=2613
50: sum=3321
1:limit goes to 1.952381
2:limit goes to 2.571429
3:limit goes to -0.333333
4:limit goes to 1.666667
5:limit goes to 0.333333
6:limit goes to -0.200000
7:limit goes to 0.684211
8:limit goes to -0.333333
9:limit goes to -0.333333
10:limit goes to -1.000000
11:limit goes to -0.200000
12:limit goes to 0.525424
13:limit goes to -1.000000
14:limit goes to 0.272727
15:limit goes to 0.333333
16:limit goes to 1.000000
17:limit goes to 1.000000
18:limit goes to -0.333333
19:limit goes to 3.500000
20:limit goes to 1.000000
21:limit goes to 0.200000
22:limit goes to 0.200000
23:limit goes to 0.323944
24:limit goes to -1.000000
25:limit goes to 0.277778
26:limit goes to -1.000000
27:limit goes to 0.333333
28:limit goes to 1.000000
29:limit goes to -0.200000
30:limit goes to 0.200000
31:limit goes to -1.000000
32:limit goes to 0.111111
33:limit goes to -0.333333
34:limit goes to 0.142857
35:limit goes to -0.200000
36:limit goes to -1.000000
37:limit goes to -0.333333
38:limit goes to -1.000000
39:limit goes to -0.200000
40:limit goes to 0.333333
1:56
2:20
3:10
4:8
5:120
6:35
7:56
8:35
9:4
10:5
11:120
12:6
13:36
14:8
15:3
16:10
17:84
18:4
19:8
20:120


File translated from TEX by TTH, version 2.70.
On 13 May 2002, 13:47.