1)*(v + 415)
Determine m so that -4*m**2 - 13288*m - 39828 = 0.
-3319, -3
Factor t**3/8 + 8757*t**2/8 + 19166883*t/8 - 19175641/8.
(t - 1)*(t + 4379)**2/8
Find f, given that 100*f**4 + 41560*f**3 - 16645*f**2 - 2080*f = 0.
-416, -1/10, 0, 1/2
Factor 338*h**3 - 290238*h**2 - 89328*h - 6872.
2*(h - 859)*(13*h + 2)**2
Factor 2*c**3 - 31696*c**2 - 31698*c.
2*c*(c - 15849)*(c + 1)
Suppose 2*x**2/9 + 33788*x/9 + 168890/9 = 0. What is x?
-16889, -5
Solve -2*j**4 - 8*j**3 + 474*j**2 - 1736*j + 1672 = 0 for j.
-19, 2, 11
Determine f, given that -f**2/12 + 301*f/3 - 5995/12 = 0.
5, 1199
Determine w so that 2*w**4/15 - 26*w**3/3 + 616*w**2/5 + 10744*w/15 - 64736/15 = 0.
-7, 4, 34
Find q, given that -3*q**5 + 4437*q**4 - 1629408*q**3 - 8294040*q**2 + 13160112*q + 19820304 = 0.
-6, -1, 2, 742
Factor -3*x**2/5 - 684*x/5 - 1308.
-3*(x + 10)*(x + 218)/5
Determine c so that c**4/2 + 1321*c**3/2 + 3957*c**2/2 + 3955*c/2 + 659 = 0.
-1318, -1
Determine i, given that i**3/4 - 19*i**2 + 913*i/4 - 1395/2 = 0.
5, 9, 62
Solve p**2 - 588*p + 14075 = 0 for p.
25, 563
Let g**3 - 1993*g**2 + 1990*g + 3984 = 0. What is g?
-1, 2, 1992
Factor y**2/4 - 85*y/2 - 49419/4.
(y - 323)*(y + 153)/4
Suppose 9*w**3 + 4323*w**2 - 11541*w/4 + 1443/4 = 0. What is w?
-481, 1/6, 1/2
Factor -7*d**2/2 + 950675*d/2 + 135811.
-(d - 135811)*(7*d + 2)/2
Determine r, given that 3*r**2/8 - 63*r/8 - 24219/4 = 0.
-117, 138
Factor 4*m**3 - 229660*m**2 + 918556*m + 1148220.
4*(m - 57411)*(m - 5)*(m + 1)
Factor 5*r**2 - 325*r - 87880.
5*(r - 169)*(r + 104)
Let 2*n**2/3 - 14284*n/3 = 0. Calculate n.
0, 7142
Factor -2*v**3/7 - 32*v**2 - 5738*v/7 + 852.
-2*(v - 1)*(v + 42)*(v + 71)/7
Factor 4*q**2 - 27876*q + 55736.
4*(q - 6967)*(q - 2)
Determine m so that -3*m**2 + 5580*m - 5577 = 0.
1, 1859
Find s such that 411*s**2 + 1232*s/3 - 1/3 = 0.
-1, 1/1233
Solve -2*f**5/5 + 214*f**4/5 - 6974*f**3/5 + 68122*f**2/5 - 262448*f/5 + 70688 = 0.
4, 5, 47
Factor a**4 + 115*a**3 + 3159*a**2 - 6667*a + 3392.
(a - 1)**2*(a + 53)*(a + 64)
Let a**3 - 63*a**2 + 959*a - 2337 = 0. Calculate a.
3, 19, 41
Factor 3*g**2/4 + 2769*g/4 - 20706.
3*(g - 29)*(g + 952)/4
Find v such that v**3/6 + 120*v**2 - 3650*v/3 = 0.
-730, 0, 10
What is r in r**3/2 - 205*r**2/2 - 314*r + 416 = 0?
-4, 1, 208
Let -2*o**2/5 - 96994*o/5 + 873108/5 = 0. Calculate o.
-48506, 9
Let -4*b**3 + 676*b**2 + 4420*b - 38500 = 0. What is b?
-11, 5, 175
Find w such that w**3 + 792667*w**2 + 157079846888*w - 157080639556 = 0.
-396334, 1
Factor 2*j**3/15 - 712*j**2/15 + 11008*j/15 - 8704/3.
2*(j - 340)*(j - 8)**2/15
Find i such that -5*i**4 - 255*i**3 + 29440*i**2 + 30180*i - 59360 = 0.
-106, -2, 1, 56
Factor -3*z**5 + 192*z**3 + 918*z**2 + 1539*z + 810.
-3*(z - 10)*(z + 1)*(z + 3)**3
Solve l**5/7 - 173832*l**4/7 + 1042968*l**3/7 - 2085920*l**2/7 + 1390608*l/7 = 0 for l.
0, 2, 173826
Determine f so that 38*f**4/13 - 8492*f**3/13 + 504416*f**2/13 - 3278016*f/13 - 1866240/13 = 0.
-10/19, 8, 108
Let 8*b**5 + 468*b**4 + 1744*b**3 - 128*b**2 - 7104*b - 6976 = 0. Calculate b.
-109/2, -2, 2
Solve 3*g**3 + 1839*g**2 - 179256*g + 4071408 = 0 for g.
-701, 44
Factor -4*z**3/3 + 2692*z**2/3 + 21728*z/3 + 14528.
-4*(z - 681)*(z + 4)**2/3
Solve 256*x**3 + 5824*x**2 - 8636*x - 580644 = 0 for x.
-127/8, 9
Determine s, given that 5*s**3/3 - 80*s**2 - 915*s + 3420 = 0.
-12, 3, 57
Find f such that 2*f**2/7 + 826556*f/7 + 85399352642/7 = 0.
-206639
What is s in 2*s**4/13 - 2026*s**3/13 + 312738*s**2/13 + 2026*s/13 - 312740/13 = 0?
-1, 1, 190, 823
Solve -s**4/5 + 1132*s**3/5 - 11252*s**2/5 + 35936*s/5 - 35904/5 = 0 for s.
2, 4, 1122
Determine b so that 3*b**5/7 - 636*b**4/7 + 32544*b**3/7 - 93846*b**2/7 + 13227*b - 30654/7 = 0.
1, 78, 131
Let -3*n**2/2 - 193305*n - 12455607675/2 = 0. What is n?
-64435
Solve 6*c**4/7 - 16*c**3/7 - 706*c**2/7 - 3156*c/7 - 576 = 0 for c.
-16/3, -3, 14
Let l**5/5 + l**4/5 - 157*l**3/5 - 313*l**2/5 - 156*l/5 = 0. Calculate l.
-12, -1, 0, 13
Factor -4*a**3/5 - 276*a**2/5 - 1248*a - 9280.
-4*(a + 20)**2*(a + 29)/5
Factor -2*k**4 - 820*k**3 + 4982*k**2 - 4160*k.
-2*k*(k - 5)*(k - 1)*(k + 416)
Factor -162*a**3/11 - 128808*a**2/11 - 24813824*a/11 + 316594176/11.
-2*(a - 12)*(9*a + 3632)**2/11
Solve 4*z**5 + 500*z**4 + 7228*z**3 + 27404*z**2 - 7232*z - 27904 = 0.
-109, -8, -1, 1
Solve a**4/3 - 18*a**3 - 160*a**2 + 41600*a/3 = 0.
-26, 0, 40
Solve -2802*o**3 + 2311*o**2 + 487*o + 4 = 0.
-1/6, -4/467, 1
Determine l so that -2*l**2/5 + 2636*l + 13182/5 = 0.
-1, 6591
Factor 2*s**3/9 - 1262*s**2/9.
2*s**2*(s - 631)/9
What is a in -5*a**5 - 185*a**4 - 2130*a**3 - 8740*a**2 - 14920*a - 9120 = 0?
-19, -12, -2
Find r such that -9*r**4/4 + 39*r**3 - 783*r**2/4 + 216*r + 243 = 0.
-2/3, 3, 6, 9
Let -3*d**5/4 + 21*d**4/2 - 87*d**3/4 - 132*d**2 + 144*d = 0. Calculate d.
-3, 0, 1, 8
Solve 8*q**5 + 764*q**4 - 3584*q**3 + 1600*q**2 = 0 for q.
-100, 0, 1/2, 4
Factor 2*n**2/9 + 706*n/9.
2*n*(n + 353)/9
Solve 524*r**4 - 274*r**3 - 518*r**2 + 274*r - 6 = 0 for r.
-1, 3/131, 1/2, 1
Suppose -8315*z**4 + 41595*z**3 + 49790*z**2 - 120*z = 0. What is z?
-1, 0, 4/1663, 6
Factor 3*y**3/7 - 1917*y**2/7 + 132696*y/7 + 61873584/7.
3*(y - 388)**2*(y + 137)/7
Find x, given that -3*x**4 - 540*x**3 + 4569*x**2 + 10746*x + 5640 = 0.
-188, -1, 10
What is g in -2*g**4/13 + 136*g**3 - 401192*g**2/13 + 355776*g - 13686912/13 = 0?
6, 436
Let 5*y**2 + 1295*y + 83300 = 0. What is y?
-140, -119
What is u in 6*u**3 - 13330*u**2 - 17792*u + 17784 = 0?
-2, 2/3, 2223
Factor -4*r**2 + 6832432*r - 2917632939664.
-4*(r - 854054)**2
What is c in c**5/2 - 4495*c**4/2 + 2528997*c**3 - 7571266*c**2 + 5044516*c = 0?
0, 1, 2, 2246
Let -86*f**4/11 + 696596*f**3/11 - 1410582600*f**2/11 - 65610000*f/11 = 0. Calculate f.
-2/43, 0, 4050
Suppose -s**3/8 + 28305*s**2/8 + 28307*s/4 = 0. Calculate s.
-2, 0, 28307
Determine r so that -2*r**2 - 77444*r - 154880 = 0.
-38720, -2
Let c**2/6 - 209*c/6 - 1210/3 = 0. Calculate c.
-11, 220
Let 3*f**3 + 339*f**2 + 9633*f + 81225 = 0. Calculate f.
-75, -19
Factor 2*w**2/7 - 3291928*w/7 + 1354598744648/7.
2*(w - 822982)**2/7
Determine s, given that -4*s**3 - 88096*s**2 + 616900*s + 704992 = 0.
-22031, -1, 8
Solve -2*l**4/7 - 32*l**3/7 + 26*l**2 + 452*l/7 + 240/7 = 0 for l.
-20, -1, 6
Factor 186*c**4 - 59524*c**3 + 4762880*c**2 - 102400*c.
2*c*(c - 160)**2*(93*c - 2)
Determine v, given that 8*v**5 + 13400*v**4 + 5631314*v**3 + 16803604*v**2 + 12586816*v + 2795584 = 0.
-836, -2, -1/2
What is n in -2*n**4/3 + 12*n**3 - 82*n**2/3 - 328*n + 960 = 0?
-5, 3, 8, 12
Suppose 652*z**2 - 8468*z - 104 = 0. Calculate z.
-2/163, 13
Factor 2*r**2 - 147732*r + 147730.
2*(r - 73865)*(r - 1)
Factor -4*v**5 + 152*v**4 - 136*v**3 - 464*v**2 + 748*v - 296.
-4*(v - 37)*(v - 1)**3*(v + 2)
Suppose -20*u**3 - 6255*u**2 - 59035*u + 15150 = 0. What is u?
-303, -10, 1/4
Let 2*a**2/25 - 2182*a/25 - 844764/25 = 0. Calculate a.
-303, 1394
Find t, given that -2*t**3/9 - 13768*t**2/9 - 23694728*t/9 = 0.
-3442, 0
Let 2*n**5 + 188*n**4 - 8088*n**3 + 36940*n**2 - 50378*n + 21336 = 0. What is n?
-127, 1, 3, 28
Factor n**2 + 44876*n + 503463844.
(n + 22438)**2
Suppose 26*y**3/15 + 96*y**2/5 - 96*y/5 = 0. Calculate y.
-12, 0, 12/13
Let z**4/4 - 64*z**3 + 18613*z**2/4 - 215781*z/2 + 197676 = 0. What is z?
2, 51, 152
Determine h, given that h**4/4 - 310*h**3 - 621*h**2 = 0.
-2, 0, 1242
Determine o so that 3*o**5 + 378*o**4 - 3*o**3 - 378*o**2 = 0.
-126, -1, 0, 1
Factor -2*r**3 + 1552*r**2 - 15370*r + 38300.
-2*(r - 766)*(r - 5)**2
Solve -700*h**4 - 1615*h**3 + 5140*h**2 - 1985*h - 840 = 0 for h.
-21/5, -1/4, 1, 8/7
Solve -3*i**2/2 + 1563*i/8 - 4932 = 0.
137/4, 96
Let -8*q**5/3 + 58*q**4/3 - 49*q**3/3 - 148*q**2/3 - 11*q = 0. What is q?
-1, -1/4, 0, 3, 11/2
Factor d**2/3 + 370*d/3.
d*(d + 370)/3
Solve -2*c**3/13 + 5196*c**2/13 - 3374802*c/13 = 0 for c.
0, 1299
Determine w, given that 3*w**3 - 72*w**2 - 336*w = 0.
-4, 0, 28
Factor 2*k**3/7 + 194302*k**2/7 + 4719255550*k/7 + 4719061250/7.
2*(k + 1)*(k + 48575)**2/7
Factor -3*b**2/2 + 96*b - 549/2.
-3*(b - 61)*(b - 3)/2
Let 2*r**2/7 - 8158*r/7 + 299108/7 = 0. What is r?
37, 4042
Find l, given that 60*l**5 + 32756*l**4 + 4566756*l**3 + 26231004*l**2 + 37596960*l - 2624400 = 0.
-270, -3, 1/15
Factor -4*y**2 + 584*y - 9216.
-4*(y - 128)*(y - 18)
Factor 15*y**2 - 468*y + 1632.
3*(y - 4)