n - 1)
Let -2*w**4/3 - 26*w**3/3 + 58*w**2/3 - 10*w = 0. What is w?
-15, 0, 1
Let -x**5/6 - x**4/2 - x**3/6 + x**2/2 + x/3 = 0. Calculate x.
-2, -1, 0, 1
Factor -3*q**2/4 - 213*q/4 + 219/2.
-3*(q - 2)*(q + 73)/4
Factor 3*w**3/7 + 33*w**2/7 + 60*w/7 - 96/7.
3*(w - 1)*(w + 4)*(w + 8)/7
Solve 4*l**5/9 + 14*l**4/9 - 10*l**3/3 + 2*l**2/9 + 10*l/9 = 0 for l.
-5, -1/2, 0, 1
Find u such that -2*u**4/9 - 26*u**3/9 - 58*u**2/9 + 266*u/9 + 196/3 = 0.
-7, -2, 3
Find t, given that -t**5/2 + 3*t**4/2 + 11*t**3/2 - 3*t**2/2 - 5*t = 0.
-2, -1, 0, 1, 5
Let 4*n**4 - 4*n**3 - 60*n**2 + 36*n + 216 = 0. Calculate n.
-3, -2, 3
Factor 2*u**3/11 + 10*u**2/11 - 16*u/11 - 96/11.
2*(u - 3)*(u + 4)**2/11
Find m such that 5*m**3 - 20*m**2 + 20*m = 0.
0, 2
Find g such that -4*g**4 + 24*g**3 - 36*g**2 - 16*g + 48 = 0.
-1, 2, 3
Solve -2*i**2 - 28*i + 64 = 0.
-16, 2
Factor -3*t**4 + 411*t**3 - 2760*t**2 + 3900*t.
-3*t*(t - 130)*(t - 5)*(t - 2)
Factor -2*i**3/13 - 88*i**2/13 - 82*i/13 + 172/13.
-2*(i - 1)*(i + 2)*(i + 43)/13
Factor -2*h**2/5 + 82*h/5 - 296/5.
-2*(h - 37)*(h - 4)/5
Factor c**2 - 24*c - 52.
(c - 26)*(c + 2)
Let k**2/6 - 5*k/6 = 0. What is k?
0, 5
Factor 3*i**4/2 - 15*i**3/2 - 39*i**2/2 - 21*i/2.
3*i*(i - 7)*(i + 1)**2/2
Factor 5*c**3 - 15*c**2 + 15*c - 5.
5*(c - 1)**3
Factor 3*p**3 - 15*p**2 - 72*p.
3*p*(p - 8)*(p + 3)
Factor -x**4/3 - 2*x**3 + 19*x**2/3 + 8*x.
-x*(x - 3)*(x + 1)*(x + 8)/3
Solve b**4/6 - 92*b**3/3 + 2116*b**2 - 194672*b/3 + 2238728/3 = 0 for b.
46
Solve 20*o**3 - 164*o**2 + 352*o - 64 = 0.
1/5, 4
Factor -2*p**4/13 + 28*p**3/13 - 2*p**2.
-2*p**2*(p - 13)*(p - 1)/13
Solve v**3/4 + 23*v**2 - 99*v/4 - 279/2 = 0 for v.
-93, -2, 3
Factor -w**4 - 12*w**3 - 36*w**2.
-w**2*(w + 6)**2
Solve -5*d**3 - 10*d**2 + 15*d = 0.
-3, 0, 1
Factor p**4/6 - 4*p**3/3 + 5*p**2/2 + 4*p/3 - 8/3.
(p - 4)**2*(p - 1)*(p + 1)/6
Factor g**2/8 + 1184*g + 2803712.
(g + 4736)**2/8
Factor 48425*r**3/3 - 12930*r**2 + 2596*r - 8/3.
(5*r - 2)**2*(1937*r - 2)/3
Let 3*p**5 + 99*p**4 - 915*p**3 + 2745*p**2 - 3408*p + 1476 = 0. Calculate p.
-41, 1, 2, 3
Find t such that -5*t**2 + 43810*t - 95965805 = 0.
4381
What is z in 2*z**2/9 - 1960*z/9 + 480200/9 = 0?
490
Factor p**5 - 92*p**4 + 845*p**3 - 2050*p**2.
p**2*(p - 82)*(p - 5)**2
What is r in -3*r**5 + 78*r**4 - 75*r**3 = 0?
0, 1, 25
Solve 3*g**2/5 - 12*g/5 = 0.
0, 4
Find g, given that g**4 - 76*g**3 + 149*g**2 - 74*g = 0.
0, 1, 74
Suppose -196*h**5/5 + 2828*h**4/5 + 8132*h**3/5 + 7268*h**2/5 + 2432*h/5 + 272/5 = 0. What is h?
-1, -2/7, 17
What is j in j**5 + 7*j**4 + 15*j**3 + 13*j**2 + 4*j = 0?
-4, -1, 0
Factor 15*d**3/2 + 10*d**2 - 70*d + 40.
5*(d - 2)*(d + 4)*(3*d - 2)/2
What is c in 9*c**2 - 186*c - 63 = 0?
-1/3, 21
Factor 2*c**2 + 52*c + 338.
2*(c + 13)**2
Factor -2*x**2 + 196*x.
-2*x*(x - 98)
Factor 2*o**4 - 10*o**3 + 12*o**2.
2*o**2*(o - 3)*(o - 2)
What is h in 3*h**4/5 - 51*h**3/5 + 213*h**2/5 + 51*h/5 - 216/5 = 0?
-1, 1, 8, 9
Factor d**4 + 96*d**3 + 2398*d**2 + 4512*d + 2209.
(d + 1)**2*(d + 47)**2
Factor -t**3/5 + 37*t**2/5 + 8*t - 76/5.
-(t - 38)*(t - 1)*(t + 2)/5
Suppose 4*s**5/7 - 11*s**4/7 - s**3 + 11*s**2/7 + 3*s/7 = 0. What is s?
-1, -1/4, 0, 1, 3
Solve -5*x**4 - 50*x**3 - 85*x**2 + 140*x = 0.
-7, -4, 0, 1
Find i, given that i**2 - 46*i - 96 = 0.
-2, 48
Determine r so that r**3/3 - 7*r/3 + 2 = 0.
-3, 1, 2
Solve -3*l**3 - 285*l**2 - 6624*l + 6912 = 0 for l.
-48, 1
Factor p**2 - 34*p - 336.
(p - 42)*(p + 8)
Find x, given that -30*x**5 - 86*x**4 - 48*x**3 + 8*x**2 = 0.
-2, -1, 0, 2/15
Factor -4*d**2 - 1656*d - 171396.
-4*(d + 207)**2
Determine f, given that 3*f**4 - 21*f**3 + 24*f**2 + 48*f = 0.
-1, 0, 4
Let -2*g**4 + 2277*g**3/2 + 1711*g**2/2 - 285*g = 0. What is g?
-1, 0, 1/4, 570
Factor -b**4 + 22*b**3 - 156*b**2 + 378*b - 243.
-(b - 9)**2*(b - 3)*(b - 1)
Determine u, given that -u**5/4 - 55*u**4/2 - 691*u**3/4 + 1543*u**2/2 - 113*u - 1030 = 0.
-103, -10, -1, 2
Suppose 3*r**2/4 - 945*r/2 + 297675/4 = 0. What is r?
315
Determine z, given that -2*z**5 + 40*z**4 - 64*z**3 - 148*z**2 + 66*z + 108 = 0.
-1, 1, 3, 18
What is z in 3*z**3/4 - 15*z**2/4 - 21*z/2 = 0?
-2, 0, 7
Factor 49*u**2/8 - 47*u/8 - 1/4.
(u - 1)*(49*u + 2)/8
Let 2*p**2/5 - 1616*p/5 + 326432/5 = 0. What is p?
404
Determine u, given that 8*u**4 + 4*u**3 - 32*u**2 - 4*u + 24 = 0.
-2, -1, 1, 3/2
Factor 5*p**3 - 345*p**2 + 4390*p + 10200.
5*(p - 51)*(p - 20)*(p + 2)
Determine v, given that v**3 - 118*v**2 + 1105*v - 2700 = 0.
5, 108
Determine p, given that 2*p**5/5 + 2*p**4 + 16*p**3/5 + 8*p**2/5 = 0.
-2, -1, 0
Find p, given that -4*p**5 + 56*p**4 + 160*p**3 - 512*p**2 = 0.
-4, 0, 2, 16
Solve 4*d**3 - 2164*d**2 + 278108*d + 3989908 = 0.
-13, 277
Determine o, given that -o**2 - 25*o + 84 = 0.
-28, 3
Factor 15*z**2 - 1092*z - 219.
3*(z - 73)*(5*z + 1)
Solve -3698*j**5/13 + 344*j**4/13 + 11086*j**3/13 - 8428*j**2/13 + 712*j/13 - 16/13 = 0 for j.
-2, 2/43, 1
Factor 8100*f**2 - 1440*f + 64.
4*(45*f - 4)**2
What is t in -3*t**3 + 255*t**2 - 6384*t + 38988 = 0?
9, 38
Factor 2*h**4 + 16*h**3 + 42*h**2 + 44*h + 16.
2*(h + 1)**2*(h + 2)*(h + 4)
Factor -5*l**2 + 235*l - 450.
-5*(l - 45)*(l - 2)
Find u such that 5*u**2 + 7680*u + 2949120 = 0.
-768
Find j, given that 8*j**4 + 20*j**3 - 16*j**2 - 12*j = 0.
-3, -1/2, 0, 1
Solve 4*k**4/3 - 20*k**3 - 4*k**2 + 188*k/3 - 40 = 0.
-2, 1, 15
Factor 5*k**3 + 140*k**2 + 135*k.
5*k*(k + 1)*(k + 27)
Factor f**5/7 + 8*f**4/7 - 3*f**3/7 - 26*f**2/7 - 16*f/7.
f*(f - 2)*(f + 1)**2*(f + 8)/7
Suppose 2*j**4 - 38*j**3 + 190*j**2 - 154*j = 0. Calculate j.
0, 1, 7, 11
Suppose 2*x**5/5 - 6*x**4 + 98*x**3/5 - 114*x**2/5 + 44*x/5 = 0. What is x?
0, 1, 2, 11
Factor y**5/5 - 3*y**4/5 + 2*y**3/5.
y**3*(y - 2)*(y - 1)/5
Solve -o**5/4 + 205*o**4/4 - 5759*o**3/2 + 49331*o**2/2 + 232703*o/4 + 122317/4 = 0.
-1, 13, 97
Determine b, given that 2*b**5/15 + 2*b**4/5 - 26*b**3/15 - 14*b**2/15 + 24*b/5 - 8/3 = 0.
-5, -2, 1, 2
Factor 7*f**5/2 + 33*f**4/2 + 53*f**3/2 + 31*f**2/2 - 2.
(f + 1)**3*(f + 2)*(7*f - 2)/2
Determine u, given that u**3/2 + 5*u**2/2 + 7*u/2 + 3/2 = 0.
-3, -1
Factor -g**3 - 29*g**2 + 129*g - 99.
-(g - 3)*(g - 1)*(g + 33)
Factor 3*d**2/5 - 345*d + 1722/5.
3*(d - 574)*(d - 1)/5
Factor -l**3 - 164*l**2 - 644*l - 640.
-(l + 2)**2*(l + 160)
Factor 2*y**3/7 + 50*y**2/7 + 286*y/7 - 338/7.
2*(y - 1)*(y + 13)**2/7
Factor 3*p**4 + 36*p**3 + 66*p**2 - 252*p + 147.
3*(p - 1)**2*(p + 7)**2
Factor -3*v**3/8 + 105*v**2 + 849*v/2 + 426.
-3*(v - 284)*(v + 2)**2/8
Factor -n**5 - 8*n**4 + 20*n**3.
-n**3*(n - 2)*(n + 10)
Factor -3*j**3 - 879*j**2 - 64824*j - 63948.
-3*(j + 1)*(j + 146)**2
Determine p, given that -2*p**4 - 72*p**3/7 - 52*p**2/7 + 120*p/7 + 18/7 = 0.
-3, -1/7, 1
Find a, given that -10*a**2 + 1358*a + 1368 = 0.
-1, 684/5
Let 4*u**5 - 204*u**4 + 3068*u**3 - 12068*u**2 + 17664*u - 8464 = 0. Calculate u.
1, 2, 23
Find x such that x**5/6 + 5*x**4/6 - x**3/6 - 5*x**2/6 = 0.
-5, -1, 0, 1
Determine x so that -3*x**5 + 27*x**4 - 39*x**3 - 27*x**2 + 42*x = 0.
-1, 0, 1, 2, 7
Factor -3*h**2/4 - 3417*h/4 - 3411/2.
-3*(h + 2)*(h + 1137)/4
Solve -81*m**5 - 63*m**4 + 456*m**3 + 72*m**2 - 720*m + 336 = 0 for m.
-2, 2/3, 1, 14/9
Factor -d**4 + 80*d**3 - 654*d**2 + 1072*d - 497.
-(d - 71)*(d - 7)*(d - 1)**2
Determine c so that -c**2/3 - 20*c - 300 = 0.
-30
Solve 2*f**4/7 - 48*f**3/7 + 262*f**2/7 - 408*f/7 = 0 for f.
0, 3, 4, 17
Let -560*c**2 - 268*c - 32 = 0. Calculate c.
-1/4, -8/35
Solve -2*w**3/3 - 5*w**2/3 + w/3 + 2 = 0 for w.
-2, -3/2, 1
Solve -5*a**3 - 200*a**2 - 2465*a - 8670 = 0.
-17, -6
Let 25*b**3 + 90*b**2 - 4455*b - 2700 = 0. What is b?
-15, -3/5, 12
What is y in -2073600*y**2 + 5760*y - 4 = 0?
1/720
Determine a so that -15*a**4/7 - 309*a**3/7 - 174*a**2/7 + 120*a/7 = 0.
-20, -1, 0, 2/5
Factor -2*v**3/15 + 4*v**2/15 + 14*v/15 + 8/15.
-2*(v - 4)*(v + 1)**2/15
Factor 3*o**4 - 51*o**2 - 108*o - 60.
3*(o - 5)*(o + 1)*(o + 2)**2
Factor -2366*t**3/17 + 260*t**2 - 1288*t/17 - 784/17.
-2*(7*t + 2)*(13*t - 14)**2/17
Factor 2*c**2 + 98*c.
2*c*(c + 49)
Factor 2*v**2 + 4304*v + 2315552.
2*(v + 1076)**2
Factor 24389*m**3/2 - 65598*m**2 + 117624*m - 70304.
(29*m - 52)**3/2
Let h**3/8 - 25*h**2/8 - 14*h - 29/2 = 0. Calculate h.
-2, 29
Factor -2*w**2/9 + 152*w/9 - 2888/9.
-2*(w - 38)**2/9
Factor m**2 + 3*m - 28.
(m - 4)*(m + 7)
Factor 11*l**4 - 316*l**3 + 2817*l**2 - 7