y**3 + 25*y**2 - 85*y - 105.
5*(y - 3)*(y + 1)*(y + 7)
Let -v**4/6 - 16*v**3/3 + 163*v**2 - 1152*v + 4293/2 = 0. What is v?
-53, 3, 9
Find k such that 2*k**2 + 248*k + 246 = 0.
-123, -1
Suppose -p**4 - 18*p**3 - 52*p**2 + 360*p + 800 = 0. Calculate p.
-10, -2, 4
Factor -b**3/3 + 3*b**2 - 8*b + 16/3.
-(b - 4)**2*(b - 1)/3
Let -12*g**4/7 - 375*g**3/7 + 699*g**2/7 + 198*g/7 = 0. Calculate g.
-33, -1/4, 0, 2
Factor -564*h**2 + 1708*h/3 - 16/3.
-4*(h - 1)*(423*h - 4)/3
Factor 2*l**5 - 4*l**4 - 14*l**3 - 8*l**2.
2*l**2*(l - 4)*(l + 1)**2
What is m in -4*m**5/5 + 39*m**4/5 - 42*m**3/5 - 253*m**2/5 - 204*m/5 - 36/5 = 0?
-1, -1/4, 6
Find k, given that -4*k**4/3 - 52*k**3/3 + 76*k**2/3 + 292*k/3 + 56 = 0.
-14, -1, 3
Factor f**4/3 + 11*f**3/3 - 20*f**2/3 - 28*f + 48.
(f - 2)**2*(f + 3)*(f + 12)/3
Factor 2*j**2/5 - 24*j/5.
2*j*(j - 12)/5
Determine r so that 28*r**4/5 - 708*r**3/5 + 5408*r**2/5 - 11568*r/5 + 576 = 0.
2/7, 3, 10, 12
Factor -1250*i**3 + 44800*i**2 + 7192*i + 288.
-2*(i - 36)*(25*i + 2)**2
Factor -4*v**4/7 + 104*v**3/7 - 564*v**2/7 - 208*v - 112.
-4*(v - 14)**2*(v + 1)**2/7
Factor 3*c**3/5 + 2*c**2 + 9*c/5 + 2/5.
(c + 1)*(c + 2)*(3*c + 1)/5
Factor -n**5/4 - 222*n**4 - 65712*n**3 - 6483584*n**2.
-n**2*(n + 296)**3/4
Factor 3*r**4/7 + 12*r**3 - 6318*r**2/7 + 95316*r/7 - 441597/7.
3*(r - 13)**3*(r + 67)/7
Determine k so that 2*k**2 - 320*k + 942 = 0.
3, 157
Find u, given that 2*u**4 - 6*u**2 + 4*u = 0.
-2, 0, 1
Factor 4*n**4 - 32*n**3 - 4*n**2 + 32*n.
4*n*(n - 8)*(n - 1)*(n + 1)
Suppose -7*z**2/2 - 621*z/2 + 314 = 0. What is z?
-628/7, 1
Suppose -4*f**2 - 28*f + 240 = 0. What is f?
-12, 5
What is x in 2*x**2/13 - 24*x - 314/13 = 0?
-1, 157
Factor -2*b**2/3 - 7216*b/3 - 6508832/3.
-2*(b + 1804)**2/3
Let -y**2/4 + 12*y = 0. Calculate y.
0, 48
Determine c, given that 2*c**3/25 + 96*c**2/25 + 1152*c/25 = 0.
-24, 0
Factor -2*h**3/19 + 3978*h**2/19 - 2637414*h/19 + 582868494/19.
-2*(h - 663)**3/19
Factor -2*a**2/13 - 8*a - 902/13.
-2*(a + 11)*(a + 41)/13
Determine b so that -2*b**5 - 92*b**4 - 420*b**3 - 400*b**2 + 422*b + 492 = 0.
-41, -3, -2, -1, 1
Solve 2*x**3/7 + 54*x**2/7 - 240*x/7 + 248/7 = 0 for x.
-31, 2
Let -4*r**4 - 248*r**3 - 485*r**2 - 301*r - 60 = 0. What is r?
-60, -1, -1/2
Solve r**2/6 + 268*r/3 + 535/6 = 0 for r.
-535, -1
Factor -l**3/3 + 5*l**2/3 + l/3 - 5/3.
-(l - 5)*(l - 1)*(l + 1)/3
Factor -2*b**2/11 - 620*b/11 - 112.
-2*(b + 2)*(b + 308)/11
Solve -2*c**4/3 + 130*c**3/3 - 636*c**2 - 6664*c/3 - 4624/3 = 0.
-2, -1, 34
Factor 4*r**2/3 - 32*r - 1360/3.
4*(r - 34)*(r + 10)/3
Let 6*b**5 - 58*b**4 - 24*b**3 + 40*b**2 = 0. Calculate b.
-1, 0, 2/3, 10
Determine m, given that -m**4 + 4*m**3 - 2*m**2 - 4*m + 3 = 0.
-1, 1, 3
Let -n**2 - 66*n - 65 = 0. Calculate n.
-65, -1
Find q such that -2*q**5/5 + 2*q**4/5 + 2*q**3 - 2*q**2 - 8*q/5 + 8/5 = 0.
-2, -1, 1, 2
Factor 2*x**2/11 + 5348*x/11 + 3575138/11.
2*(x + 1337)**2/11
Solve -4*o**3 + 40*o**2 + 148*o + 104 = 0 for o.
-2, -1, 13
Let -90*z**4 - 454*z**3 - 560*z**2 - 24*z = 0. Calculate z.
-3, -2, -2/45, 0
Factor 2*c**3 + 8*c**2 - 262*c + 252.
2*(c - 9)*(c - 1)*(c + 14)
Factor 5*l**2/6 + 40*l - 520/3.
5*(l - 4)*(l + 52)/6
Find l such that 5*l**2 - 35*l + 30 = 0.
1, 6
Factor -4*t**3 - 936*t**2 - 56580*t - 211600.
-4*(t + 4)*(t + 115)**2
Factor -3*r**2 - 132*r + 135.
-3*(r - 1)*(r + 45)
Let 2*x**4 + 8*x**3 - 10*x**2 = 0. Calculate x.
-5, 0, 1
What is p in 5*p**4 - 15*p**3 + 10*p**2 = 0?
0, 1, 2
Factor -2*d**2 - 54*d - 304.
-2*(d + 8)*(d + 19)
Factor -2*p**3 - 172*p**2 + 7040*p - 60416.
-2*(p - 16)**2*(p + 118)
Let 4*w**3/7 + 12*w**2/7 - 24*w/7 - 32/7 = 0. Calculate w.
-4, -1, 2
What is c in -16*c**3 - 484*c**2 - 584*c - 116 = 0?
-29, -1, -1/4
Factor -405*n**4 - 1845*n**3 - 2720*n**2 - 1280*n.
-5*n*(n + 1)*(9*n + 16)**2
Factor -27*n**3/4 + 531*n**2/4 - 345*n/4 + 57/4.
-3*(n - 19)*(3*n - 1)**2/4
Solve 21*h**2/2 - 111*h/2 - 126 = 0 for h.
-12/7, 7
What is y in 36*y**5 - 55524*y**4 + 21473824*y**3 - 49902176*y**2 + 37970240*y - 9486400 = 0?
2/3, 1, 770
Factor 9*p**2/5 - 551*p/5 + 122/5.
(p - 61)*(9*p - 2)/5
Let -s**3/5 - 131*s**2/5 + 813*s/5 - 1233/5 = 0. Calculate s.
-137, 3
Solve -f**2 - 51*f - 644 = 0 for f.
-28, -23
Solve -4*v**4 - 8*v**3 + 16*v**2 + 8*v - 12 = 0 for v.
-3, -1, 1
Factor -x**4/6 - x**3 + x**2/6 + x.
-x*(x - 1)*(x + 1)*(x + 6)/6
Factor 25*r**3/3 - 3145*r**2/3 + 2504*r/3 - 500/3.
(r - 125)*(5*r - 2)**2/3
Solve y**5/4 + 33*y**4/4 + 63*y**3/4 + 31*y**2/4 = 0 for y.
-31, -1, 0
Factor -16*f**2/15 + 2*f/15 + 6/5.
-2*(f + 1)*(8*f - 9)/15
Factor y**4/5 + 63*y**3/5 + 1023*y**2/5 + 961*y/5.
y*(y + 1)*(y + 31)**2/5
Solve 5*g**3/12 + 29*g**2/12 + 25*g/6 + 2 = 0 for g.
-3, -2, -4/5
Suppose 5*g**4 + 25*g**3 + 10*g**2 - 40*g = 0. Calculate g.
-4, -2, 0, 1
Factor -y**4 + 21*y**3 + 492*y**2 + 1792*y - 2304.
-(y - 36)*(y - 1)*(y + 8)**2
Suppose u**2 + 49*u = 0. Calculate u.
-49, 0
Factor f**4 - 1063*f**3 + 374868*f**2 - 43216976*f - 225590080.
(f - 356)**3*(f + 5)
Let -1587*n**5/4 - 8073*n**4/4 - 10215*n**3/4 - 843*n**2/4 - 9*n/2 = 0. Calculate n.
-3, -2, -1/23, 0
Determine b, given that -4*b**3/9 + 292*b**2/9 = 0.
0, 73
Factor l**4/3 + 2*l**3 + 11*l**2/3 + 2*l.
l*(l + 1)*(l + 2)*(l + 3)/3
Factor n**5/5 - 17*n**4/5 - 37*n**3/5 - 19*n**2/5.
n**2*(n - 19)*(n + 1)**2/5
Let 3*g**3/7 - 14862*g**2/7 = 0. Calculate g.
0, 4954
Determine m, given that 4*m**5 + 64*m**4 + 384*m**3 + 1064*m**2 + 1340*m + 600 = 0.
-5, -3, -2, -1
Factor -2*l**3/19 - 120*l**2/19 + 650*l/19.
-2*l*(l - 5)*(l + 65)/19
Determine p, given that p**4/7 - 2*p**3 + 4*p**2/7 + 18*p - 117/7 = 0.
-3, 1, 3, 13
Factor 2*c**2/9 + 2284*c/9 + 652082/9.
2*(c + 571)**2/9
Let 22*l**3/15 - 172*l**2/15 - 32*l/15 = 0. Calculate l.
-2/11, 0, 8
Factor -4*i**2/5 - 32*i/5.
-4*i*(i + 8)/5
What is m in -3*m**4 + 15*m**3 - 12*m**2 = 0?
0, 1, 4
Factor -57963*k**2/2 + 834*k - 6.
-3*(139*k - 2)**2/2
Determine u so that 7*u**4/3 + 18*u**3 + 61*u**2/3 - 54*u + 40/3 = 0.
-5, -4, 2/7, 1
Factor -k**3 + 4*k**2 + 85*k - 88.
-(k - 11)*(k - 1)*(k + 8)
Determine c, given that c**4/3 + 7*c**3 - 47*c**2/3 - 7*c + 46/3 = 0.
-23, -1, 1, 2
Suppose 2*t**3 + 32*t**2 - 70*t + 36 = 0. What is t?
-18, 1
What is n in -n**5/6 + 5*n**4/3 - 11*n**3/2 + 22*n**2/3 - 10*n/3 = 0?
0, 1, 2, 5
Determine p so that 2*p**3 + 74*p**2 + 646*p - 722 = 0.
-19, 1
Determine k, given that 4*k**3/7 + 164*k**2/7 - 1108*k/7 + 940/7 = 0.
-47, 1, 5
Factor l**3/4 - 36*l**2 + 1728*l - 27648.
(l - 48)**3/4
Factor -4*n**2/3 + 256*n/3 - 1180/3.
-4*(n - 59)*(n - 5)/3
Solve 4*w**2 - 44*w - 720 = 0.
-9, 20
Suppose -25*y**5/3 + 80*y**4/3 - 40*y**3/3 - 70*y**2/3 + 65*y/3 - 10/3 = 0. What is y?
-1, 1/5, 1, 2
Factor j**2 + 42*j.
j*(j + 42)
Factor 5*h**4/2 - 165*h**3 + 480*h**2 - 475*h + 315/2.
5*(h - 63)*(h - 1)**3/2
Determine c so that -3*c**5/4 + 3*c**4/4 + 9*c**3 = 0.
-3, 0, 4
Factor 4*r**4 - 4*r**3 - 752*r**2 - 5136*r - 9792.
4*(r - 17)*(r + 4)*(r + 6)**2
Solve -t**2/2 - 193*t/2 - 96 = 0.
-192, -1
Factor -3*k**3 + 45*k**2 + 678*k - 720.
-3*(k - 24)*(k - 1)*(k + 10)
Suppose -504*t**2 + 508*t - 4 = 0. What is t?
1/126, 1
Find v such that 2*v**4/3 - 6*v**3 + 58*v**2/3 - 26*v + 12 = 0.
1, 2, 3
Solve 10*d**2 + 52*d + 48 = 0.
-4, -6/5
Find n, given that n**4/5 - n**3/5 = 0.
0, 1
Factor 2*z**5/7 - 64*z**4/7 + 62*z**3/7.
2*z**3*(z - 31)*(z - 1)/7
What is g in 2*g**5/11 + 20*g**4/11 + 16*g**3/11 - 20*g**2/11 - 18*g/11 = 0?
-9, -1, 0, 1
Suppose -3*l**5 - 93*l**4 - 765*l**3 - 675*l**2 = 0. What is l?
-15, -1, 0
Let 12*g**5/7 - 142*g**4/7 + 296*g**3/7 + 582*g**2/7 - 4*g - 160/7 = 0. What is g?
-1, -2/3, 1/2, 5, 8
Find h such that h**2/4 - h/4 = 0.
0, 1
Factor -2*n**4/3 - 60*n**3 - 4394*n**2/3 - 5160*n - 14792/3.
-2*(n + 2)**2*(n + 43)**2/3
Factor 2*o**2/13 + 114*o/13 + 1012/13.
2*(o + 11)*(o + 46)/13
Determine l, given that 2*l**4 - 80*l**3 + 416*l**2 + 7680*l + 18432 = 0.
-4, 24
Solve 2*x**2/3 + 28*x + 294 = 0.
-21
Let -4*y**5 + 8*y**4 + 3*y**3 - 9*y**2 = 0. What is y?
-1, 0, 3/2
Solve 8*u**5 + 36*u**4 + 60*u**3 + 44*u**2 + 12*u = 0 for u.
-3/2, -1, 0
Let -4*k**3/3 + 20*k**2 + 136*k/3 = 0. Calculate k.
-2, 0, 17
Solve 5*d**4 - 95*d**3 - 5*d**2 + 95*d = 0.
-1, 0, 1, 19
Factor 7*o**3/4 + 65*o**2/4 + 36*o + 9.
(o + 3)*(o + 6)*(7*o + 2)/4
Factor -6*p**3/11 + 6570*p**2/11 - 1801818*p/11 + 1795254/11.
-6*(p - 547)**2*(p - 1)/11
S