e -r**3/8 - 33*r**2/8 + 405*r/8 + 15309/8 = 0 for r.
-27, 21
Solve -7*w**3/2 - 274*w**2 + 482*w + 160 = 0 for w.
-80, -2/7, 2
Solve -2*y**2/19 - 170*y/19 = 0 for y.
-85, 0
Factor 2*u**3/15 + 16*u**2/15 + 32*u/15.
2*u*(u + 4)**2/15
Solve 6*c**3/7 + 1584*c**2/7 + 1578*c/7 = 0 for c.
-263, -1, 0
Find f, given that -5329*f**5/2 - 7884*f**4 - 61329*f**3/8 - 18715*f**2/8 + 849*f/8 - 9/8 = 0.
-1, 3/146
Factor 21*k**4 + 249*k**3 + 723*k**2 + 495*k.
3*k*(k + 1)*(k + 3)*(7*k + 55)
Suppose 165*t**5 - 3429*t**4 - 8358*t**3 - 1404*t**2 + 552*t = 0. What is t?
-2, -2/5, 0, 2/11, 23
Determine u so that 6*u**5/5 - 14*u**4/5 - 74*u**3/5 - 34*u**2/5 + 4*u = 0.
-2, -1, 0, 1/3, 5
Let -5*i**4/2 - 2895*i**3 - 838100*i**2 + 2895*i + 1676205/2 = 0. Calculate i.
-579, -1, 1
Factor -2*u**3/5 + 64*u**2/5.
-2*u**2*(u - 32)/5
Find u, given that 4*u**3 + 2952*u**2 = 0.
-738, 0
Find v, given that 2*v**2/7 - 880*v/7 + 1752/7 = 0.
2, 438
Suppose 4*y**5/7 + 76*y**4 + 23760*y**3/7 + 363968*y**2/7 + 340736*y/7 = 0. Calculate y.
-44, -1, 0
Let -x**4 - 13*x**3 - 23*x**2 - 11*x = 0. Calculate x.
-11, -1, 0
Suppose 2*r**2 - 504*r + 31752 = 0. Calculate r.
126
Let o**4/7 - 1230*o**3/7 + 376993*o**2/7 + 108240*o + 54208 = 0. What is o?
-1, 616
Factor -3*b**3 + 1515*b**2 - 3021*b + 1509.
-3*(b - 503)*(b - 1)**2
Factor -3*s**2 - 3*s + 60.
-3*(s - 4)*(s + 5)
Find x such that 3*x**4 + 65*x**3/3 + 113*x**2/3 + 67*x/3 + 10/3 = 0.
-5, -1, -2/9
Factor 2*l**2/3 + 136*l/3 + 2312/3.
2*(l + 34)**2/3
Factor 4*a**2 - 20*a - 816.
4*(a - 17)*(a + 12)
Suppose -188*u**3/7 - 4*u**2/7 + 188*u/7 + 4/7 = 0. What is u?
-1, -1/47, 1
Factor 2*g**4/13 - 46*g**3/13 + 240*g**2/13 + 288*g/13.
2*g*(g - 12)**2*(g + 1)/13
Factor -2*o**2/17 + 2428*o/17 - 2426/17.
-2*(o - 1213)*(o - 1)/17
Factor 3*a**5 - 6*a**4 - 12*a**3 + 6*a**2 + 9*a.
3*a*(a - 3)*(a - 1)*(a + 1)**2
Factor -c**2 + 300*c - 1184.
-(c - 296)*(c - 4)
Let y**2/7 + 8*y/7 + 15/7 = 0. What is y?
-5, -3
Factor -y**2/5 - 789*y/5 + 1582/5.
-(y - 2)*(y + 791)/5
Factor 4*g**4 + 3184*g**3 + 633600*g**2 - 12736*g - 2534464.
4*(g - 2)*(g + 2)*(g + 398)**2
Determine g, given that 15*g**2 + 260*g - 180 = 0.
-18, 2/3
Factor -k**3/3 + 8*k**2 - 11*k/3 - 92.
-(k - 23)*(k - 4)*(k + 3)/3
What is m in 2*m**3/11 + 1084*m**2/11 + 392*m + 4304/11 = 0?
-538, -2
Let 2*q**5/13 - 14*q**4/13 - 62*q**3/13 + 14*q**2/13 + 60*q/13 = 0. What is q?
-3, -1, 0, 1, 10
Factor b**3/4 + 79*b**2/4 + 142*b.
b*(b + 8)*(b + 71)/4
Determine u, given that -u**4/6 - 41*u**3/6 + 401*u**2/2 - 6259*u/6 - 3751/3 = 0.
-62, -1, 11
Factor 2*b**3/7 + 2*b**2 - 20*b/7 - 32/7.
2*(b - 2)*(b + 1)*(b + 8)/7
Factor 3*c**3/8 - 87*c**2/8 + 21*c/2.
3*c*(c - 28)*(c - 1)/8
What is f in -5*f**2 - 661*f + 532 = 0?
-133, 4/5
What is r in r**2/2 - 8*r - 57/2 = 0?
-3, 19
Suppose 8*b**2 + 14*b = 0. What is b?
-7/4, 0
Factor s**4 + 31*s**3 + 59*s**2 + 29*s.
s*(s + 1)**2*(s + 29)
Solve 9*b**4 + 2499*b**3 + 173049*b**2 - 59631*b - 115926 = 0 for b.
-139, -2/3, 1
Factor 2*l**2 + 208*l + 5408.
2*(l + 52)**2
Let -2*t**4/7 - 2*t**3 + 96*t**2/7 + 8*t - 352/7 = 0. What is t?
-11, -2, 2, 4
Suppose -2*k**2 + 1102*k - 2196 = 0. Calculate k.
2, 549
Factor -4*s**5 + 364*s**4 - 1408*s**3 + 1392*s**2.
-4*s**2*(s - 87)*(s - 2)**2
Solve 4*y**5/13 - 10*y**4/13 - 42*y**3/13 - 38*y**2/13 - 10*y/13 = 0 for y.
-1, -1/2, 0, 5
Factor -597*i**3/4 - 229*i**2/4 - 5*i/2.
-i*(3*i + 1)*(199*i + 10)/4
Factor 3*n**4/5 + 9*n**3/5 - 12*n**2/5.
3*n**2*(n - 1)*(n + 4)/5
Factor -f**5 - 3*f**4 + 10*f**3 + 24*f**2.
-f**2*(f - 3)*(f + 2)*(f + 4)
Suppose 5*c**5 - 150*c**4 + 1445*c**3 - 4920*c**2 + 6740*c - 3120 = 0. What is c?
1, 2, 12, 13
Factor -2*j**2 + 102*j + 104.
-2*(j - 52)*(j + 1)
Factor -l**5/2 - 35*l**4/2 + 75*l**3 - 115*l**2 + 155*l/2 - 39/2.
-(l - 1)**4*(l + 39)/2
Find q, given that -3*q**5 - 141*q**4 - 1581*q**3 + 1869*q**2 + 1584*q - 1728 = 0.
-24, -1, 1
Factor -5*v**4 + 570*v**3 - 15020*v**2 - 72570*v + 87025.
-5*(v - 59)**2*(v - 1)*(v + 5)
Factor -5*n**3/4 + 425*n**2/4 - 205*n/2 - 210.
-5*(n - 84)*(n - 2)*(n + 1)/4
Factor 5*u**3/3 - 19087*u**2/3 + 7634*u/3.
u*(u - 3817)*(5*u - 2)/3
Solve -2*l**3/11 + 14*l**2/11 - 20*l/11 = 0 for l.
0, 2, 5
Solve -k**5/6 - k**4/2 + 3*k**3 - 2*k**2/3 - 4*k = 0.
-6, -1, 0, 2
Factor 3*i**5 + 438*i**4 + 21168*i**3 + 331338*i**2 - 352947*i.
3*i*(i - 1)*(i + 49)**3
Factor -d**2 + 45*d - 494.
-(d - 26)*(d - 19)
What is c in -2*c**2 - 24*c - 64 = 0?
-8, -4
Find d, given that 2*d**5 - 7*d**4 - 69*d**3 - 28*d**2 + 32*d = 0.
-4, -1, 0, 1/2, 8
Determine r so that 7*r**3/3 + 4814*r**2/3 + 826976*r/3 - 236672/3 = 0.
-344, 2/7
Factor -29*j**3/6 - 200*j**2/3 - 1337*j/6 + 49.
-(j + 7)**2*(29*j - 6)/6
Factor p**2 + 75*p + 1316.
(p + 28)*(p + 47)
What is t in -4*t**5 + 56*t**4 - 256*t**3 + 456*t**2 - 252*t = 0?
0, 1, 3, 7
Solve 5*c**3 + 1845*c**2 + 226935*c + 9304335 = 0.
-123
Factor -4*l**2 - 64*l + 420.
-4*(l - 5)*(l + 21)
What is r in 36*r**5/7 - 465*r**4 + 10764*r**3/7 - 5409*r**2/7 - 6252*r/7 - 1044/7 = 0?
-1/3, -1/4, 2, 87
Factor -5*y**3 + 65*y**2 + 70*y.
-5*y*(y - 14)*(y + 1)
Factor 4*f**4 - 1552*f**3 - 4680*f**2 - 4688*f - 1564.
4*(f - 391)*(f + 1)**3
Solve 5*v**3 + 105*v**2 - 170*v - 1320 = 0.
-22, -3, 4
Solve -2*o**5/15 + 8*o**4/15 + 22*o**3/15 - 52*o**2/15 - 128*o/15 - 64/15 = 0.
-2, -1, 4
Factor 4*y**2/7 - 416*y/7 + 10816/7.
4*(y - 52)**2/7
Determine t, given that -3*t**2 + 33*t + 456 = 0.
-8, 19
Let -4*p**2/7 + 1408*p/7 - 123904/7 = 0. What is p?
176
Factor -4*r**3 - 180*r**2 + 4*r + 180.
-4*(r - 1)*(r + 1)*(r + 45)
Solve -3*w**2 + 384*w = 0 for w.
0, 128
Factor 2*t**4 + 14*t**3 + 36*t**2 + 40*t + 16.
2*(t + 1)*(t + 2)**3
Solve i**2/3 - 52*i/3 + 676/3 = 0 for i.
26
Factor 5*d**4/2 - 5*d**3 - 75*d**2/2 + 80*d - 40.
5*(d - 4)*(d - 1)**2*(d + 4)/2
Factor -2*b**2 + 212*b + 214.
-2*(b - 107)*(b + 1)
Suppose 2*t**3/3 + 692*t**2 - 1386*t + 2080/3 = 0. Calculate t.
-1040, 1
Factor 12*n**3 + 6387*n**2 + 850668*n + 212268.
3*(n + 266)**2*(4*n + 1)
Factor -2*j**5/9 - 388*j**4/3 - 25346*j**3 - 1721472*j**2 - 9658368*j - 14155776.
-2*(j + 3)**2*(j + 192)**3/9
Solve 98*h**2/9 - 112*h + 288 = 0 for h.
36/7
Find f, given that f**5 - 8*f**4 - 12*f**3 + 26*f**2 + 11*f - 18 = 0.
-2, -1, 1, 9
Factor 20*h**4 + 108*h**3 + 160*h**2 + 48*h.
4*h*(h + 2)*(h + 3)*(5*h + 2)
Determine k so that 2*k**3/15 - 38*k**2/15 - 3712*k/15 + 6144 = 0.
-45, 32
Find f, given that -4*f**2 - 20*f + 144 = 0.
-9, 4
Determine p, given that -9*p**3 + 210*p**2 - 63*p - 138 = 0.
-2/3, 1, 23
Determine x so that 2*x**2/11 - 6*x - 140/11 = 0.
-2, 35
Solve 253813557*r**3/2 - 8672445*r**2/2 + 98775*r/2 - 375/2 = 0 for r.
5/439
Determine f so that -f**2 - 2*f + 8 = 0.
-4, 2
Find b, given that -2*b**3/9 - 170*b**2/3 + 2*b/9 + 170/3 = 0.
-255, -1, 1
Factor 4*t**5 - 1200*t**4 + 144000*t**3 - 8640000*t**2 + 259200000*t - 3110400000.
4*(t - 60)**5
Find m, given that -m**2/8 - 141*m/4 - 281/8 = 0.
-281, -1
Solve -2*x**5 - 36*x**4 - 160*x**3 - 180*x**2 + 162*x + 216 = 0.
-12, -3, -1, 1
Determine j so that -5*j**2/2 + 3*j/4 = 0.
0, 3/10
Factor -4*q**3/3 + 4*q**2 + 16*q/3.
-4*q*(q - 4)*(q + 1)/3
Solve 3*j**4 + 48*j**3 + 225*j**2 + 324*j = 0.
-9, -4, -3, 0
Factor 2*k**3/5 + 297*k**2/5 - 752*k/5 + 453/5.
(k - 1)*(k + 151)*(2*k - 3)/5
Determine l so that 12*l**3 - 39*l**2 - 180*l - 108 = 0.
-2, -3/4, 6
Suppose 16*f**3 + 8676*f**2 + 1177224*f + 293764 = 0. What is f?
-271, -1/4
Suppose 4*f**5 - 8*f**4 - 48*f**3 - 56*f**2 - 20*f = 0. Calculate f.
-1, 0, 5
Suppose i**5/2 + 14*i**4/3 + 31*i**3/6 - 5*i**2/3 - 8*i/3 = 0. What is i?
-8, -1, 0, 2/3
Factor s**5/5 - 6*s**4/5 + 9*s**3/5 - 4*s**2/5.
s**2*(s - 4)*(s - 1)**2/5
Determine g, given that -2*g**5 + 14*g**4/9 + 130*g**3/9 + 10*g**2/9 - 112*g/9 - 8/3 = 0.
-2, -1, -2/9, 1, 3
Suppose 182*w**3/5 - 9622*w**2/5 - 256*w + 424/5 = 0. Calculate w.
-2/7, 2/13, 53
Suppose 2*g**3 + 8190*g**2 + 11179350*g + 5086604250 = 0. Calculate g.
-1365
Factor 2*m**3/19 - 586*m**2/19 - 2980*m/19.
2*m*(m - 298)*(m + 5)/19
Suppose -u**3/7 + 38*u**2/7 + 83*u/7 - 120/7 = 0. What is u?
-3, 1, 40
Find m, given that -m**2 - 2*m + 24 = 0.
-6, 4
Suppose -2*y**2/11 - 4*y/11 + 30/11 = 0. What is y?
-5, 3
Factor 3*c**4/5 + 29*c**3/5 + 89*c**2/5 + 15*c - 36/5.
(c + 3)**2*(c + 4)*(3*c - 1)/5
Let 25*p**4 + 265*p**3 + 490*p**2 - 1140*p + 360 = 0. Calculate p.
-6, 2/5, 1
Solve -5*u