 + 125*d**4 + 95*d**3 - 125*d**2 + 15*d = 0. Calculate d.
-1, 0, 3/22, 1
Factor 16*z**2 - 404*z + 100.
4*(z - 25)*(4*z - 1)
Factor 4*y**2/5 + 72*y/5.
4*y*(y + 18)/5
Suppose t**3/5 + 116*t**2/5 + 649*t - 6962/5 = 0. What is t?
-59, 2
Determine c, given that -4*c**2 - 1296*c - 2576 = 0.
-322, -2
Factor 3*d**4 - 126*d**3 + 1644*d**2 - 6696*d + 7776.
3*(d - 18)**2*(d - 4)*(d - 2)
Find c such that -2*c**4 - 60*c**3 - 408*c**2 - 644*c - 294 = 0.
-21, -7, -1
Let -2*h**3/9 - 28*h**2/3 = 0. What is h?
-42, 0
Find z such that -4*z**4 + 28*z**3 - 64*z**2 + 48*z = 0.
0, 2, 3
Solve 3*p**2/2 + 9*p/2 - 42 = 0.
-7, 4
Solve -10*o**4/11 - 6*o**3/11 + 94*o**2/11 + 54*o/11 - 36/11 = 0 for o.
-3, -1, 2/5, 3
What is s in -48*s**2 - 44*s + 4 = 0?
-1, 1/12
Factor 2*q**5/11 - 2*q**4/11 - 4*q**3/11 + 4*q**2/11 + 2*q/11 - 2/11.
2*(q - 1)**3*(q + 1)**2/11
Solve 2*k**4 + 284*k**3/9 + 458*k**2/9 + 136*k/9 - 56/9 = 0 for k.
-14, -1, 2/9
Factor -4*f**5 - 752*f**4 - 46864*f**3 - 951048*f**2 + 1095444*f + 2000376.
-4*(f - 2)*(f + 1)*(f + 63)**3
Find s such that -s**3 - 21*s**2 + 96*s - 100 = 0.
-25, 2
Factor -4*k**2 - 96*k - 576.
-4*(k + 12)**2
What is s in 287282*s**3/9 + 63672*s**2 - 1010*s/3 + 4/9 = 0?
-2, 1/379
Let 4*y**4 - 88*y**3 + 628*y**2 - 1584*y + 1296 = 0. What is y?
2, 9
Solve 2*y**4/3 - 16*y**3/3 + 14*y**2 - 44*y/3 + 16/3 = 0.
1, 2, 4
Factor -4*s**3 - 304*s**2 + 620*s - 312.
-4*(s - 1)**2*(s + 78)
Factor -2*z**3 - 178*z**2 - 4214*z - 11094.
-2*(z + 3)*(z + 43)**2
Factor -d**2/4 - 23*d/4 + 795/2.
-(d - 30)*(d + 53)/4
Determine d so that 5*d**2 + 130*d + 240 = 0.
-24, -2
Factor 4*f**4/7 + 60*f**3/7 + 108*f**2/7 - 972*f/7.
4*f*(f - 3)*(f + 9)**2/7
Let 21*l**3 + 321*l**2 - 624*l - 204 = 0. Calculate l.
-17, -2/7, 2
Factor -n**3/8 - n**2/2 - 5*n/8 - 1/4.
-(n + 1)**2*(n + 2)/8
Factor -2*p**2/11 - 18728*p/11 - 43842248/11.
-2*(p + 4682)**2/11
Factor -a**2/3 - 10*a/3 + 11/3.
-(a - 1)*(a + 11)/3
Factor 3*l**3/5 - 161*l**2/5 - 562*l/5 - 456/5.
(l - 57)*(l + 2)*(3*l + 4)/5
Factor 4*a**2/7 + 27168*a/7 + 46131264/7.
4*(a + 3396)**2/7
Determine k so that 10*k**4 + 286*k**3 - 420*k**2 = 0.
-30, 0, 7/5
Find b, given that -2*b**5/9 - 132*b**4 + 1196*b**3/9 + 3568*b**2/9 - 398*b/3 - 2380/9 = 0.
-595, -1, 1, 2
Determine m so that -3*m**4 + 33*m**3 - 90*m**2 = 0.
0, 5, 6
Factor 2*p**4/9 - 92*p**3/9 + 1466*p**2/9 - 3128*p/3 + 2312.
2*(p - 17)**2*(p - 6)**2/9
Let -3*u**2/5 + 60*u + 303/5 = 0. Calculate u.
-1, 101
Suppose 3*y**4/5 - 6*y**3 - 3*y**2/5 + 6*y = 0. What is y?
-1, 0, 1, 10
Factor 2*p**5 - 6*p**4 - 10*p**3 + 6*p**2 + 8*p.
2*p*(p - 4)*(p - 1)*(p + 1)**2
Factor 3*b**4/7 - 60*b**3/7 + 111*b**2/7 - 54*b/7.
3*b*(b - 18)*(b - 1)**2/7
Let 3*g**5 - 15*g**4 - 54*g**3 + 384*g**2 - 480*g = 0. What is g?
-5, 0, 2, 4
Factor 1750*j**3 + 3200*j**2 + 1720*j + 288.
2*(5*j + 2)**2*(35*j + 36)
Find u, given that -8*u**3 + 388*u**2 + 2320*u + 3024 = 0.
-7/2, -2, 54
Suppose -52*t**2 - 21104*t + 3248 = 0. Calculate t.
-406, 2/13
Factor 8*r**5 + 26*r**4 + 28*r**3 + 10*r**2.
2*r**2*(r + 1)**2*(4*r + 5)
Solve -5*t**2 + 750*t + 3080 = 0 for t.
-4, 154
Factor j**4/5 - 4*j**3/5 + 3*j**2/5.
j**2*(j - 3)*(j - 1)/5
What is g in 2*g**5/7 + 2*g**4/7 - 30*g**3/7 + 46*g**2/7 - 20*g/7 = 0?
-5, 0, 1, 2
Factor 2*k**4/19 - 24*k**3/19 + 96*k**2/19 - 160*k/19 + 96/19.
2*(k - 6)*(k - 2)**3/19
What is p in p**5 - 9*p**4 + 7*p**3 + 69*p**2 - 152*p + 84 = 0?
-3, 1, 2, 7
Factor 2*d**2/7 + 188*d/7 + 186/7.
2*(d + 1)*(d + 93)/7
Let 5*l**4/3 - 20*l**3 + 130*l**2/3 + 20*l - 45 = 0. Calculate l.
-1, 1, 3, 9
Let -5*y**3 + 10*y**2 + 115*y - 300 = 0. Calculate y.
-5, 3, 4
Factor 32*o**3/7 + 12*o**2/7.
4*o**2*(8*o + 3)/7
Factor -2*m**4 + 106*m**3 - 1836*m**2 + 9720*m + 11664.
-2*(m - 18)**3*(m + 1)
Find y such that -3*y**2/4 + 9*y/4 - 3/2 = 0.
1, 2
Factor 602*b**2/13 - 144*b/13 - 8/13.
2*(7*b - 2)*(43*b + 2)/13
Factor 2*l**5/7 + 4*l**4/7 - 66*l**3/7 - 332*l**2/7 - 568*l/7 - 48.
2*(l - 7)*(l + 2)**3*(l + 3)/7
Determine g, given that -g**2/4 + 243*g - 59049 = 0.
486
Solve 4*n**2/3 + 596*n/3 + 592/3 = 0 for n.
-148, -1
Determine s, given that -2*s**2/3 - 4*s + 18 = 0.
-9, 3
Factor 2*o**2 + 52*o.
2*o*(o + 26)
Factor 2*g**4 - 20*g**3 + 24*g**2 + 144*g.
2*g*(g - 6)**2*(g + 2)
Find z, given that z**3 - 33*z**2 + 207*z - 175 = 0.
1, 7, 25
Factor 81*d**3 - 330*d**2 + 348*d - 24.
3*(d - 2)**2*(27*d - 2)
Factor -3*r**4 + 39*r**3 - 171*r**2 + 297*r - 162.
-3*(r - 6)*(r - 3)**2*(r - 1)
Factor -2*s**5/17 - 12*s**4/17 - 26*s**3/17 - 24*s**2/17 - 8*s/17.
-2*s*(s + 1)**2*(s + 2)**2/17
Factor v**3/10 + v**2/10 - v/5.
v*(v - 1)*(v + 2)/10
Factor -32*p**4/17 + 304*p**3/17 + 158*p**2/17 + 20*p/17.
-2*p*(p - 10)*(4*p + 1)**2/17
Factor 30*n**2 + 514*n + 484.
2*(n + 1)*(15*n + 242)
Factor -o**3/3 + o**2.
-o**2*(o - 3)/3
Factor -4*n**5 + 32*n**4 - 36*n**3 - 232*n**2 + 656*n - 480.
-4*(n - 5)*(n - 2)**3*(n + 3)
Determine g so that 4*g**5/7 + 16*g**4 + 208*g**3/7 = 0.
-26, -2, 0
Find z, given that z**4 - 7*z**3 - 369*z**2 - 2025*z = 0.
-9, 0, 25
Solve 5*i**5 - 50*i**4 - 115*i**3 - 60*i**2 = 0 for i.
-1, 0, 12
Factor -p**2 - 52*p - 676.
-(p + 26)**2
Suppose 25*z**4/3 - 140*z**3/3 - 250*z**2/3 + 20*z/3 + 35 = 0. Calculate z.
-1, 3/5, 7
Solve 2*r**4 + 36*r**3 + 186*r**2 + 56*r - 1176 = 0 for r.
-7, -6, 2
Factor m**5/6 - 10*m**4/3 - 286*m**3/3 + 1936*m**2.
m**2*(m - 22)**2*(m + 24)/6
Factor 2*w**3/9 + 38*w**2/3 - 356*w/9 + 80/3.
2*(w - 2)*(w - 1)*(w + 60)/9
Find y, given that y**3 - 114*y**2 + 2304*y + 57344 = 0.
-14, 64
Let 3*a**3/4 + 27*a**2/4 + 9*a/2 - 12 = 0. Calculate a.
-8, -2, 1
Determine s so that 3*s**3 - 36*s**2 + 87*s - 54 = 0.
1, 2, 9
Let -4*q**4/3 - 64*q**3/3 - 164*q**2/3 - 104*q/3 = 0. Calculate q.
-13, -2, -1, 0
Suppose -3*v**5/2 - 109*v**4/3 - 151*v**3/2 - 48*v**2 - 22*v/3 = 0. Calculate v.
-22, -1, -2/9, 0
Factor -c**2/9 - 17*c/3 + 52/9.
-(c - 1)*(c + 52)/9
Factor -q**5/2 - 2*q**4 - 5*q**3/2 - q**2.
-q**2*(q + 1)**2*(q + 2)/2
Factor 5*z**5/4 - 6*z**4 + 10*z**3 - 13*z**2/2 + 3*z/4 + 1/2.
(z - 2)*(z - 1)**3*(5*z + 1)/4
Determine g, given that g**3 - 39*g - 70 = 0.
-5, -2, 7
Suppose -s**3/10 - 39*s**2/10 - 459*s/10 - 1701/10 = 0. Calculate s.
-21, -9
Factor -2*t**4/13 - 28*t**3/13 - 48*t**2/13.
-2*t**2*(t + 2)*(t + 12)/13
Factor 3*o**2/5 - 1938*o/5 - 1941/5.
3*(o - 647)*(o + 1)/5
Factor 2*o**3 - 136*o**2 + 130*o + 268.
2*(o - 67)*(o - 2)*(o + 1)
Determine x, given that -2*x**3/13 + 222*x/13 - 220/13 = 0.
-11, 1, 10
Factor -3*i**3 - 231*i**2 - 222*i + 456.
-3*(i - 1)*(i + 2)*(i + 76)
Suppose -2*n**5 + 32*n**4 - 108*n**3 + 152*n**2 - 98*n + 24 = 0. Calculate n.
1, 12
Determine p so that -2*p**2/19 - 22*p = 0.
-209, 0
Factor r**4/5 - 21*r**3/5 + 72*r**2/5 - 68*r/5.
r*(r - 17)*(r - 2)**2/5
Factor 3*b**3 - 729*b**2 + 720*b + 1452.
3*(b - 242)*(b - 2)*(b + 1)
Find u such that -3*u**5 - 15*u**4 - 9*u**3 + 39*u**2 + 24*u - 36 = 0.
-3, -2, 1
Factor -d**2/3 - 2345*d/3 + 4694/3.
-(d - 2)*(d + 2347)/3
Determine y, given that -3*y**5 + 32*y**4 + 7*y**3 - 768*y**2 + 1700*y - 800 = 0.
-5, 2/3, 2, 5, 8
Let -l**3/5 + 42*l**2/5 - 392*l/5 = 0. What is l?
0, 14, 28
Factor -3*i**4/5 + 15*i**3 - 72*i**2/5.
-3*i**2*(i - 24)*(i - 1)/5
Find l, given that -2*l**2/5 + 44*l/5 - 114/5 = 0.
3, 19
Factor -2*i**2 + 136*i - 264.
-2*(i - 66)*(i - 2)
Solve -4*s**5 + 136*s**4 - 704*s**3 + 872*s**2 + 708*s - 1008 = 0 for s.
-1, 1, 3, 28
Factor -36*n**4 - 28*n**3 + 80*n**2 - 16*n.
-4*n*(n - 1)*(n + 2)*(9*n - 2)
Factor -h**3/2 + 29*h**2/2 + 777*h/2 - 2565/2.
-(h - 45)*(h - 3)*(h + 19)/2
Determine b, given that -b**3 - 26*b**2 + 55*b - 28 = 0.
-28, 1
Let -z**3 - 258*z**2/5 + 369*z/5 - 106/5 = 0. What is z?
-53, 2/5, 1
Factor 3*j**4/2 - 15*j**3 + 42*j**2 - 36*j.
3*j*(j - 6)*(j - 2)**2/2
Determine p so that 5*p**5 + 40*p**4 - 5*p**3 - 40*p**2 = 0.
-8, -1, 0, 1
Let -4*b**2/7 + 176*b/7 - 780/7 = 0. Calculate b.
5, 39
What is n in -45*n**4/4 + 121*n**3/2 + 2639*n**2/4 + 391*n + 55 = 0?
-5, -2/5, -2/9, 11
Solve -14*v**3 - 794*v**2 + 1040*v - 232 = 0.
-58, 2/7, 1
Factor -4*n**4/5 + 8*n**2/5 - 4/5.
-4*(n - 1)**2*(n + 1)**2/5
Find r, given that -2*r**2/9 + 20992*r/9 - 55083008/9 = 0.
5248
Factor 32*f**4 + 48*f**3 - 542*f**2 + 252*f + 810.
2*(f + 1)*(f + 5)*(4*f - 9)**2
Factor -4*l**2 + 1392*l - 121104.
-4*(l - 174)**2
Determine d so that -d**5/4 + 5*d**4/4 - 3*d**3/2 - d**2/2 + 7*d/4 - 3/4