f**2*(f + 103)/6
Determine f so that 2*f**2/3 - 890*f/3 = 0.
0, 445
Factor -3*w**4 + 369*w**3/4 - 135*w**2/2.
-3*w**2*(w - 30)*(4*w - 3)/4
Solve -2*u**2/15 + 114*u/5 = 0 for u.
0, 171
Factor -4*q**4 + 520*q**3 - 15252*q**2 - 108256*q - 92480.
-4*(q - 68)**2*(q + 1)*(q + 5)
Factor 3*a**4 - 207*a**3 + 2430*a**2 + 89100*a - 1701000.
3*(a - 30)**3*(a + 21)
Suppose -2*r**4/5 - 88*r**3/5 - 804*r**2/5 - 2664*r/5 - 594 = 0. Calculate r.
-33, -5, -3
Factor 4*y**3 - 60*y**2 + 108*y - 52.
4*(y - 13)*(y - 1)**2
Suppose -12*d**2 - 3304*d - 1100 = 0. What is d?
-275, -1/3
Factor -g**3/6 + g**2/3 + 2*g/3 - 4/3.
-(g - 2)**2*(g + 2)/6
Factor 5*p**3 - 50*p**2 - 260*p - 280.
5*(p - 14)*(p + 2)**2
Factor -g**3/2 + 38*g**2 - 74*g.
-g*(g - 74)*(g - 2)/2
Factor -5*q**5 + 65*q**4 - 200*q**3 + 180*q**2.
-5*q**2*(q - 9)*(q - 2)**2
Factor 25*m**4 - 115*m**3 + 185*m**2 - 125*m + 30.
5*(m - 2)*(m - 1)**2*(5*m - 3)
Factor d**5 - 71*d**4 + 1834*d**3 - 20286*d**2 + 83349*d - 64827.
(d - 21)**3*(d - 7)*(d - 1)
Find v, given that v**4/3 + 2*v**3/3 + v**2/3 = 0.
-1, 0
Factor 2*u**5 - 12*u**4 - 32*u**3 - 4*u**2 + 30*u + 16.
2*(u - 8)*(u - 1)*(u + 1)**3
Let 2*l**2/5 + 18*l + 88/5 = 0. Calculate l.
-44, -1
Solve -11*w**5 - 3*w**4/2 + 77*w**3 - 111*w**2/2 - 9*w = 0.
-3, -3/22, 0, 1, 2
Factor -2*z**3/15 - 206*z**2/15 - 266*z + 23826/5.
-2*(z - 11)*(z + 57)**2/15
Find o, given that 3*o**4/2 + 25*o**3/4 + 11*o**2/2 + 3*o/4 = 0.
-3, -1, -1/6, 0
Factor 3*c**4/4 - 6*c**3 - 297*c**2/4 - 135*c/2.
3*c*(c - 15)*(c + 1)*(c + 6)/4
Solve -i**2 - 3330*i - 2772225 = 0.
-1665
Factor k**2/3 - 208*k/3 + 10816/3.
(k - 104)**2/3
Solve -3*s**2/2 + 9*s/2 + 6 = 0 for s.
-1, 4
Factor m**2 - 63*m + 62.
(m - 62)*(m - 1)
Factor -n**3 - 2*n**2 + 25*n + 50.
-(n - 5)*(n + 2)*(n + 5)
Factor -4*u**2 - 1320*u - 1316.
-4*(u + 1)*(u + 329)
Find g such that 2*g**4/19 + 110*g**3/19 + 316*g**2/19 + 208*g/19 = 0.
-52, -2, -1, 0
Solve g**3/3 + 20*g**2 - g/3 - 20 = 0 for g.
-60, -1, 1
Factor -2*x**2 - 62*x/11 + 12/11.
-2*(x + 3)*(11*x - 2)/11
Factor -4*r**2 + 16*r - 12.
-4*(r - 3)*(r - 1)
Let -3*c**5/4 + 15*c**4/4 + 9*c**3/2 - 57*c**2/2 + 129*c/4 - 45/4 = 0. Calculate c.
-3, 1, 5
Let 5*r**3/2 - 40*r**2 + 160*r = 0. Calculate r.
0, 8
Suppose -11*i**3 + 23*i**2 + 10*i - 24 = 0. What is i?
-1, 12/11, 2
Let 2420*p**2 + 660*p + 45 = 0. Calculate p.
-3/22
Determine j so that -4*j**2/13 - 2050*j/13 - 1024/13 = 0.
-512, -1/2
Factor -v**3/5 + 51*v**2/5 - 18*v - 392/5.
-(v - 49)*(v - 4)*(v + 2)/5
Factor 7*g**2 + 22*g + 16.
(g + 2)*(7*g + 8)
Find y, given that 2*y**2 + 3792*y + 1797408 = 0.
-948
What is h in 2*h**5/9 - 46*h**4/9 + 36*h**3 - 680*h**2/9 + 400*h/9 = 0?
0, 1, 2, 10
Find d such that -6*d**5/5 - 268*d**4/5 + 1276*d**3/5 + 19360*d**2 - 726726*d/5 - 527076/5 = 0.
-33, -2/3, 11
Solve n**2/8 - 15*n/8 - 27/4 = 0 for n.
-3, 18
Find o, given that 5*o**2 - 1590*o + 1585 = 0.
1, 317
Factor k**2/3 - 433*k/3 - 434/3.
(k - 434)*(k + 1)/3
Solve -3*y**4 + 2*y**3 = 0 for y.
0, 2/3
Factor -m**4/5 + 61*m**3/5 - 192*m**2 + 180*m.
-m*(m - 30)**2*(m - 1)/5
Suppose -9*k**4 - 43*k**3 - 26*k**2 + 8*k = 0. What is k?
-4, -1, 0, 2/9
Factor -2*z**3/5 - 372*z**2 - 11106*z/5 - 16632/5.
-2*(z + 3)**2*(z + 924)/5
Factor 5*w**2/4 + 4*w + 3.
(w + 2)*(5*w + 6)/4
Let -27*s**5 - 3933*s**4 + 5307*s**3 + 2169*s**2 - 5280*s + 1764 = 0. Calculate s.
-147, -1, 2/3, 1
Find o such that 2*o**2/23 + 452*o/23 + 25538/23 = 0.
-113
Solve 50*l**5 - 1090*l**4 + 4248*l**3 - 2888*l**2 + 544*l = 0 for l.
0, 2/5, 4, 17
Factor o**4 + 7*o**3 + 10*o**2.
o**2*(o + 2)*(o + 5)
Let 3*k**5/5 + 21*k**4/5 + 3*k**3 - 21*k**2/5 - 18*k/5 = 0. Calculate k.
-6, -1, 0, 1
Let -6*i**5 - 86*i**4/3 - 124*i**3/3 - 40*i**2/3 + 16*i/3 = 0. Calculate i.
-2, -1, 0, 2/9
Find p such that -9826*p**5/15 - 2312*p**4/5 + 8194*p**3/15 + 6808*p**2/15 + 544*p/5 + 128/15 = 0.
-1, -4/17, 1
Factor -c**2/3 - 821*c/3 + 1646/3.
-(c - 2)*(c + 823)/3
Solve 4*r**4 + 100*r**3 - 324*r**2 + 332*r - 112 = 0.
-28, 1
Suppose 15*s**2/7 + 51*s/7 - 36/7 = 0. What is s?
-4, 3/5
Suppose -r**3 - 246*r**2 - 489*r - 244 = 0. Calculate r.
-244, -1
Find y, given that -4*y**2 - 836*y = 0.
-209, 0
Let 5*g**2 - 5*g = 0. Calculate g.
0, 1
Factor -b**2/4 + 320*b - 1279/4.
-(b - 1279)*(b - 1)/4
Factor 4*v**4 + 684*v**3 + 1356*v**2 + 676*v.
4*v*(v + 1)**2*(v + 169)
Suppose -3*d**4/8 + 105*d**3/8 + 9*d**2/8 - 321*d/8 + 105/4 = 0. What is d?
-2, 1, 35
Factor -5*c**4 - 6115*c**3 - 12215*c**2 - 6105*c.
-5*c*(c + 1)**2*(c + 1221)
Factor -4*u**3 - 36*u**2 + 424*u - 384.
-4*(u - 6)*(u - 1)*(u + 16)
Solve r**3 + 876*r**2 - r - 876 = 0 for r.
-876, -1, 1
Determine h, given that 5*h**2/3 - 40*h/3 - 80 = 0.
-4, 12
Find v such that v**4 - 132*v**3 + 4356*v**2 = 0.
0, 66
Let -u**5 + 11*u**4 - 47*u**3 + 97*u**2 - 96*u + 36 = 0. Calculate u.
1, 2, 3
Suppose -2*c**2/5 + 32*c/5 + 32 = 0. Calculate c.
-4, 20
Determine r so that 4*r**3 + 212*r**2 - 896*r + 912 = 0.
-57, 2
What is z in 5*z**2 - 4410*z + 972405 = 0?
441
Factor m**3/2 - 13*m**2/2 + 28*m - 40.
(m - 5)*(m - 4)**2/2
Solve 3*a**2 - 111*a - 360 = 0.
-3, 40
Suppose 42*x**5 + 298*x**4/5 - 744*x**3/5 - 1184*x**2/5 - 384*x/5 - 32/5 = 0. What is x?
-2, -1, -2/7, -2/15, 2
Determine w so that -5*w**4 + 30*w**3 - 45*w**2 = 0.
0, 3
Solve -324*j**4 - 936*j**3 - 964*j**2 - 416*j - 64 = 0 for j.
-1, -4/9
Let 33*d**4 + 34*d**3 - 69*d**2 - 6*d + 8 = 0. What is d?
-2, -4/11, 1/3, 1
Find o such that -2*o**5/11 + 16*o**4/11 + 64*o**3/11 + 28*o**2/11 - 62*o/11 - 4 = 0.
-2, -1, 1, 11
Find i, given that 2*i**2/3 - 23*i + 34/3 = 0.
1/2, 34
Let 2*i**2 + 358*i - 724 = 0. Calculate i.
-181, 2
What is p in 76*p**4 - 8*p**3 - 76*p**2 + 8*p = 0?
-1, 0, 2/19, 1
Suppose l**5/2 + 3*l**4/2 + l**3 - l**2 - 3*l/2 - 1/2 = 0. Calculate l.
-1, 1
What is k in 2*k**4 - 2*k**3/3 - 14*k**2 + 50*k/3 - 4 = 0?
-3, 1/3, 1, 2
Factor -2*l**2/3 + 602*l/3 - 1196/3.
-2*(l - 299)*(l - 2)/3
Solve -4*b**3 - 60*b**2 + 1072*b - 1872 = 0.
-26, 2, 9
Determine p so that -8*p**4 + 1842*p**3 + 1404*p**2 - 4162*p + 924 = 0.
-2, 1/4, 1, 231
Factor -2*a**3/21 + 48*a**2/7 + 296*a/21.
-2*a*(a - 74)*(a + 2)/21
Let -l**2/3 - 10*l - 56/3 = 0. What is l?
-28, -2
Suppose 2*k**4/7 + 152*k**3/7 + 4332*k**2/7 + 54872*k/7 + 260642/7 = 0. Calculate k.
-19
Suppose 2*d**5/7 + 566*d**4/7 + 1124*d**3/7 - 4*d**2/7 - 1126*d/7 - 562/7 = 0. Calculate d.
-281, -1, 1
Factor -2*i**3 + 40*i**2 - 234*i + 324.
-2*(i - 9)**2*(i - 2)
Factor -3*q**3/2 + 9837*q**2/2.
-3*q**2*(q - 3279)/2
Factor 2*i**3 + 148*i**2 - 2290*i - 2436.
2*(i - 14)*(i + 1)*(i + 87)
Let 3*n**2 - 102*n - 720 = 0. What is n?
-6, 40
What is z in -z**3/5 - 8*z**2/5 + 19*z/5 - 2 = 0?
-10, 1
Determine j so that -j**5 - 13*j**4 - 62*j**3 - 134*j**2 - 129*j - 45 = 0.
-5, -3, -1
Find b, given that 3*b**3 - 129*b**2 + 246*b = 0.
0, 2, 41
Let 2*t**5/9 - 4*t**4/3 + 16*t**3/9 = 0. What is t?
0, 2, 4
Factor s**4/2 - 3*s**3/4 + s/4.
s*(s - 1)**2*(2*s + 1)/4
Factor -3*s**2/2 + 147*s/2.
-3*s*(s - 49)/2
What is h in 25*h**4 - 45*h**3 - 126*h**2 + 116*h - 24 = 0?
-2, 2/5, 3
Determine o, given that 2*o**4/15 - 144*o**3 + 58320*o**2 - 10497600*o + 708588000 = 0.
270
What is b in -b**5 - 3*b**4 + 2*b**3 + 12*b**2 + 8*b = 0?
-2, -1, 0, 2
Factor -5*q**2 - 40*q + 525.
-5*(q - 7)*(q + 15)
Suppose -4*y**4/11 - 10*y**3/11 + 14*y**2/11 = 0. Calculate y.
-7/2, 0, 1
Factor h**3/4 + 15*h**2/4 + 19*h/2 + 6.
(h + 1)*(h + 2)*(h + 12)/4
Factor 155*q**3 - 145*q**2 - 10*q.
5*q*(q - 1)*(31*q + 2)
Factor -4*i**5 - 4*i**4 + 24*i**3 - 8*i**2 - 20*i + 12.
-4*(i - 1)**3*(i + 1)*(i + 3)
Solve -2*w**3/7 - 64*w**2/7 + 312*w/7 + 864/7 = 0.
-36, -2, 6
What is a in -35*a**4 - 60*a**3 + 55*a**2 + 60*a - 20 = 0?
-2, -1, 2/7, 1
Find d, given that 6*d**4 + 82*d**3 - 238*d**2 - 218*d + 96 = 0.
-16, -1, 1/3, 3
Suppose 5*o**3 + 200*o**2 + 365*o - 570 = 0. What is o?
-38, -3, 1
Factor -5*x**3 + 90*x**2 - 505*x + 900.
-5*(x - 9)*(x - 5)*(x - 4)
Determine m so that 4*m**5 - 8*m**4 - 60*m**3 + 128*m**2 - 64*m = 0.
-4, 0, 1, 4
Factor -8*m**2 - 156*m - 76.
-4*(m + 19)*(2*m + 1)
Determine v, given that 3*v**5 - 132*v**4 + 597*v**3 - 468*v**2 = 0.
0, 1, 4, 39
Solve x**2/6 - 2288*x/3 + 2617472/3 = 0.
2288
Factor -3*p**3/5 + 1611*p**2/5 - 288369*p/5 + 17206017/5.
-3*(p - 179)**3/5
Let -m**5/9 + 10*m**4/9 - 20*m**3/9 - 10*m**2/9 + 7*m/3 = 0. Calculate m.
-1, 0, 1, 3, 7
Find b,