**3/2 + 34*y**2/3 + 40*y - 32/3 = 0 for y.
-4, 1/4, 4
Solve -8*b**4 + 9*b**3 - b**2 = 0.
0, 1/8, 1
Factor 2*x**3 - 42*x**2 + 36*x + 80.
2*(x - 20)*(x - 2)*(x + 1)
Find n, given that 5*n**2 - 6160*n = 0.
0, 1232
Suppose -5*t**3 + 115*t**2 = 0. Calculate t.
0, 23
Solve -3*b**3/8 + 183*b**2/8 - 2697*b/8 - 2883/8 = 0.
-1, 31
Factor -2*f**3/15 + 24*f**2/5.
-2*f**2*(f - 36)/15
Determine l, given that -5*l**2 - 100*l + 2380 = 0.
-34, 14
Determine q so that -2*q**2 + 22*q - 60 = 0.
5, 6
Let -d**3/5 + 318*d**2/5 - 33708*d/5 + 1191016/5 = 0. What is d?
106
Factor 4*u**2 + 82*u/3 - 14/3.
2*(u + 7)*(6*u - 1)/3
Factor i**2/6 - 203*i/3 + 41209/6.
(i - 203)**2/6
Factor -k**2 - 21*k - 98.
-(k + 7)*(k + 14)
Let p**3/3 = 0. What is p?
0
Factor 5*v**3 + 785*v**2 - 19085*v + 108295.
5*(v - 11)**2*(v + 179)
Factor 3*d**2/4 - 117*d/4 - 324.
3*(d - 48)*(d + 9)/4
Factor o**3/4 - 9*o**2/4 + 23*o/4 - 15/4.
(o - 5)*(o - 3)*(o - 1)/4
Factor -3*h**4/4 + 45*h**3/4 + 57*h**2.
-3*h**2*(h - 19)*(h + 4)/4
Factor 21*l**2 + 1716*l - 492.
3*(l + 82)*(7*l - 2)
Determine w so that w**5 - 24*w**4 + 183*w**3 - 476*w**2 + 396*w = 0.
0, 2, 9, 11
Let -k**2/2 - 43*k/2 - 225 = 0. What is k?
-25, -18
Find c, given that 4*c**3 - 172*c**2 - 356*c - 180 = 0.
-1, 45
Factor 3*w**3/4 + 20*w**2 + 259*w/4 + 69/2.
(w + 3)*(w + 23)*(3*w + 2)/4
Suppose 8*k**2/5 - 108*k/5 + 52/5 = 0. Calculate k.
1/2, 13
Suppose 4*j**4 + 344*j**3 + 7396*j**2 = 0. Calculate j.
-43, 0
Factor 5*h**2 + 285*h - 900.
5*(h - 3)*(h + 60)
Factor -80*i**3 - 44*i**2 + 16*i.
-4*i*(4*i - 1)*(5*i + 4)
Solve -3*x**3 - 114*x**2 + 3*x + 114 = 0 for x.
-38, -1, 1
Solve -2*j**4/3 - 50*j**3/3 + 2*j**2 + 146*j/3 - 100/3 = 0 for j.
-25, -2, 1
Solve r**4/2 + 4*r**3 + 15*r**2/2 - 4*r - 8 = 0.
-4, -1, 1
Factor 2*o**3/9 + 188*o**2/9 - 400*o/9 - 512/3.
2*(o - 4)*(o + 2)*(o + 96)/9
Find b such that 5*b**4 + 115*b**3 + 675*b**2 - 1215*b - 14580 = 0.
-9, 4
Factor 5*p**2 - 31320*p + 49047120.
5*(p - 3132)**2
Let 2*g**2/3 + 200*g = 0. Calculate g.
-300, 0
Suppose -2*m**4/11 - 7232*m**3/11 - 6537728*m**2/11 = 0. Calculate m.
-1808, 0
Factor 985967532*y**4 + 9435096*y**3 + 30096*y**2 + 32*y.
4*y*(627*y + 2)**3
Determine h, given that -h**3/2 - 13*h**2 - 25*h/2 = 0.
-25, -1, 0
Solve -5*x**3/3 + 911*x**2/3 - 896*x/3 - 604 = 0.
-1, 2, 906/5
Factor -n**5 - 2*n**4 + 8*n**3 - 2*n**2 - 7*n + 4.
-(n - 1)**3*(n + 1)*(n + 4)
Factor -c**2/4 - 2916*c - 8503056.
-(c + 5832)**2/4
Let v**2/6 - 454*v + 309174 = 0. What is v?
1362
Factor h**2/3 + 8*h + 44/3.
(h + 2)*(h + 22)/3
Factor 5*x**4 + 1280*x**3 + 83190*x**2 + 162560*x + 80645.
5*(x + 1)**2*(x + 127)**2
Factor 2*n**2/7 + 776*n/7.
2*n*(n + 388)/7
Find z, given that 2*z**3 + 132*z**2 - 1170*z + 1036 = 0.
-74, 1, 7
Find j, given that -2*j**5/3 + 740*j**4/3 - 980*j**3 + 4400*j**2/3 - 2930*j/3 + 244 = 0.
1, 366
Find c, given that c**3 + 5*c**2 - 6*c = 0.
-6, 0, 1
Find s such that 24*s**2/7 + 3212*s/7 - 536/7 = 0.
-134, 1/6
Determine g, given that -8*g**5 + 26*g**4 + 2*g**3 - 26*g**2 + 6*g = 0.
-1, 0, 1/4, 1, 3
Solve -r**3 - 3*r**2 + 18*r = 0.
-6, 0, 3
Suppose 11*x**4 - 411*x**3 + 4926*x**2 - 16996*x - 22344 = 0. What is x?
-1, 114/11, 14
Determine c, given that -c**2/2 + 256*c - 32768 = 0.
256
Solve -n**5 + 15*n**4 + 51*n**3 + 53*n**2 + 18*n = 0 for n.
-1, 0, 18
Factor 4*r**4 - 736*r**3 + 2900*r**2 - 3608*r + 1440.
4*(r - 180)*(r - 2)*(r - 1)**2
Solve -2*o**2/3 - 244*o/3 - 7442/3 = 0 for o.
-61
Let 12*u**5 + 200*u**4 + 476*u**3 + 400*u**2 + 112*u = 0. Calculate u.
-14, -1, -2/3, 0
Determine z so that -5*z**4 + 115*z**3 - 395*z**2 + 285*z = 0.
0, 1, 3, 19
Factor x**3/3 + x**2/3 - 4*x/3 - 4/3.
(x - 2)*(x + 1)*(x + 2)/3
Factor -4*z**2/7 - 36*z/7 + 88/7.
-4*(z - 2)*(z + 11)/7
Find s, given that 14*s**4/9 + 842*s**3/9 - 2482*s**2/9 + 794*s/3 - 84 = 0.
-63, 6/7, 1
Factor 2*r**3/3 - 192*r**2 + 13824*r.
2*r*(r - 144)**2/3
Factor -2*s**2/13 - 1038*s/13 - 1036/13.
-2*(s + 1)*(s + 518)/13
Determine c, given that -3*c**3/8 + c**2/2 + 9*c/8 - 5/4 = 0.
-5/3, 1, 2
Factor -5*p**4 - 1395*p**3 - 144375*p**2 - 6551545*p - 109567920.
-5*(p + 48)*(p + 77)**3
Suppose 30*o**5 - 245*o**4/2 - 770*o**3 + 3975*o**2/2 + 5375*o + 2500 = 0. Calculate o.
-4, -5/4, -2/3, 5
Let i**4/2 + i**3/2 - 113*i**2/2 + 219*i/2 - 54 = 0. What is i?
-12, 1, 9
Solve -3*x**4 + 30*x**3 - 99*x**2 + 120*x - 48 = 0 for x.
1, 4
Factor -t**2 + 72*t + 73.
-(t - 73)*(t + 1)
Find i, given that i**3/5 + 9*i**2 - 297*i/5 + 459/5 = 0.
-51, 3
Solve 20*r**5 - 35*r**4 - 70*r**3 + 145*r**2 - 40*r - 20 = 0.
-2, -1/4, 1, 2
Factor 2*t**4/5 + 272*t**3/5 + 538*t**2/5 + 268*t/5.
2*t*(t + 1)**2*(t + 134)/5
Factor 12*y**3 - 1804*y**2 + 68100*y - 22500.
4*(y - 75)**2*(3*y - 1)
Factor 5*o**5 - 145*o**4 + 275*o**3 - 135*o**2.
5*o**2*(o - 27)*(o - 1)**2
Determine k so that -124*k**4 - 120*k**3 + 128*k**2 + 120*k - 4 = 0.
-1, 1/31, 1
Find i, given that 30*i**2/7 - 29*i/7 - 1/7 = 0.
-1/30, 1
Let t**4/2 - 5*t**3/2 - 2*t**2 + 22*t - 24 = 0. Calculate t.
-3, 2, 4
Let z**3/3 - 464*z**2/3 + 925*z/3 - 154 = 0. Calculate z.
1, 462
Determine u so that 4*u**2 - 2944*u + 541696 = 0.
368
Factor -30*i**2 + 985*i - 2685.
-5*(i - 3)*(6*i - 179)
Factor 15*i**3 + 70*i**2 + 35*i - 20.
5*(i + 1)*(i + 4)*(3*i - 1)
Factor -2*d**2/21 + 64*d/21 - 512/21.
-2*(d - 16)**2/21
Factor 5*f**3 - 70*f**2 + 145*f + 220.
5*(f - 11)*(f - 4)*(f + 1)
Factor 3*q**2 - 66*q + 216.
3*(q - 18)*(q - 4)
Factor 3*o**3/7 - 24*o**2/7 - 885*o/7 - 858/7.
3*(o - 22)*(o + 1)*(o + 13)/7
Factor -27*l**2/2 + 79*l/6 + 1/3.
-(l - 1)*(81*l + 2)/6
Let l**5 + 4*l**4/3 - 20*l**3/3 - 10*l**2/3 + 17*l/3 + 2 = 0. What is l?
-3, -1, -1/3, 1, 2
Factor 27*n**3/5 - 213*n**2/5 - 267*n/5 - 27/5.
3*(n - 9)*(n + 1)*(9*n + 1)/5
Suppose -l**2/5 + 4*l = 0. What is l?
0, 20
Determine v, given that -2*v**2/9 + 16*v = 0.
0, 72
Factor -4*g**2 + 348*g - 680.
-4*(g - 85)*(g - 2)
Factor 2*a**3 + 14*a**2 - 20*a - 32.
2*(a - 2)*(a + 1)*(a + 8)
Suppose z**3 - 34*z**2 - 37*z + 70 = 0. What is z?
-2, 1, 35
Factor 25*m**3 - 1990*m**2 - 800*m.
5*m*(m - 80)*(5*m + 2)
Factor 8*w**4 - 6*w**3 - 66*w**2 + 80*w + 24.
2*(w - 2)**2*(w + 3)*(4*w + 1)
Factor -18050*a**4/11 + 3420*a**3 - 3072*a**2/11 + 64*a/11.
-2*a*(a - 2)*(95*a - 4)**2/11
Let 14*s**3/3 - 2726*s**2/3 + 9916*s/3 + 3056/3 = 0. Calculate s.
-2/7, 4, 191
Solve 4*k**3 - 20*k**2 - 544*k + 560 = 0.
-10, 1, 14
Factor 2*z**2/7 + 4*z/7.
2*z*(z + 2)/7
Find c, given that -4*c**4/5 + 2139*c**3 - 7147602*c**2/5 - 1787569*c/5 = 0.
-1/4, 0, 1337
Suppose l**5/2 + 2129*l**4/2 + 568175*l**3 + 1698143*l**2 + 3392033*l/2 + 1129969/2 = 0. What is l?
-1063, -1
Determine y so that 21*y**4 - 78*y**3 + 60*y**2 + 24*y = 0.
-2/7, 0, 2
Determine h so that 3*h**2 - 4290*h + 1533675 = 0.
715
Solve -3*f**2 + 423*f - 2814 = 0.
7, 134
Determine s so that -4*s**3 + 1164*s**2 - 112908*s + 3650692 = 0.
97
Let -a**3 + 702*a**2 - 122496*a - 247808 = 0. What is a?
-2, 352
Find v, given that -2*v**4 + 18*v**3 + 42*v**2 + 22*v = 0.
-1, 0, 11
Factor -5*g**3 + 150*g**2 + 320*g.
-5*g*(g - 32)*(g + 2)
Let -12*w**5 - 7299*w**4 - 1110804*w**3 - 269949*w**2 + 1110816*w + 277248 = 0. Calculate w.
-304, -1, -1/4, 1
Let 4*p**3 - 40*p**2 + 92*p - 56 = 0. What is p?
1, 2, 7
Factor k**2/3 + 52*k - 157/3.
(k - 1)*(k + 157)/3
Let 2*c**5/3 - 11*c**4/6 - 79*c**3/6 + 329*c**2/6 - 91*c/2 - 15 = 0. What is c?
-5, -1/4, 2, 3
Factor 19*p**2/4 + 5*p + 1/4.
(p + 1)*(19*p + 1)/4
Let -6*s**5 - 51*s**4/2 - 24*s**3 + 39*s**2/2 + 30*s + 6 = 0. What is s?
-2, -1, -1/4, 1
Determine o, given that 12*o**3 - 195*o**2 + 228*o - 45 = 0.
1/4, 1, 15
What is i in -76*i**3/9 - 320*i**2 - 9044*i/3 + 2888/9 = 0?
-19, 2/19
Suppose -4*o**5/19 - 14*o**4/19 - 2*o**3/19 + 14*o**2/19 + 6*o/19 = 0. What is o?
-3, -1, -1/2, 0, 1
Determine h so that -2*h**4 + 20*h**3 - 10*h**2 - 80*h + 72 = 0.
-2, 1, 2, 9
Suppose x**3 - 27*x**2 + 24*x + 52 = 0. Calculate x.
-1, 2, 26
Determine r so that -2*r**4/3 - 4*r**3/3 + 2*r**2 + 16*r/3 + 8/3 = 0.
-2, -1, 2
Factor 2*s**4 + 12*s**3 + 10*s**2.
2*s**2*(s + 1)*(s + 5)
Factor -2*u**4 - 46*u**3 - 394*u**2 - 1490*u - 2100.
-2*(u + 5)**2*(u + 6)*(u + 7)
Find o such that -o**4 + 94*o**3 - 164*o**2 - 1816*o - 2208 = 0.
-2, 6, 92
Factor -12*c**2 - 135*c - 33.
-3*(c + 11)*(4*c + 1)
Factor -3*v**4 + 34*v**3 - 41*v**2 + 10*v.
-v*(v - 10)*(v - 1)*(3*v - 1)
Determine y, given that -15