ermine y, given that 2*y**5 - 60*y**4 + 634*y**3 - 2848*y**2 + 5544*y - 3872 = 0.
2, 4, 11
Find t such that -3*t**3 - 21*t**2 + 120*t - 132 = 0.
-11, 2
Find q such that q**2/2 + 5*q/2 - 3 = 0.
-6, 1
Factor -4*v**3 + 232*v**2 - 4400*v + 27104.
-4*(v - 22)**2*(v - 14)
Factor -2*r**4 + 26*r**3 - 64*r**2 + 40*r.
-2*r*(r - 10)*(r - 2)*(r - 1)
Factor 5*t**3 + 75*t**2 - 170*t.
5*t*(t - 2)*(t + 17)
Factor -j**2/7 - 41*j/7 - 400/7.
-(j + 16)*(j + 25)/7
Find r, given that 4*r**3 + 576*r**2 - 580*r = 0.
-145, 0, 1
Solve 2*r**4 + 72*r**3 - 78*r**2 - 148*r = 0.
-37, -1, 0, 2
Factor -2*v**3 - 48*v**2 - 88*v.
-2*v*(v + 2)*(v + 22)
Determine w, given that w**5 + 76*w**4 + 1350*w**3 - 4212*w**2 - 22815*w = 0.
-39, -3, 0, 5
Factor 2*q**2/3 + 2*q/3.
2*q*(q + 1)/3
Let -j**5 - 5*j**4 - j**3 + 21*j**2 + 18*j = 0. Calculate j.
-3, -1, 0, 2
Determine j, given that -2*j**5/5 - 16*j**4/5 - 26*j**3/5 + 52*j**2/5 + 128*j/5 + 64/5 = 0.
-4, -1, 2
Solve 3*n**3/5 - 567*n**2/5 + 35721*n/5 - 750141/5 = 0.
63
Factor -4*f**3/5 - 4*f**2 - 8*f/5 + 32/5.
-4*(f - 1)*(f + 2)*(f + 4)/5
Suppose -5*k**5 - 45*k**4 + 185*k**3 + 45*k**2 - 180*k = 0. Calculate k.
-12, -1, 0, 1, 3
Let r**2 + 445*r = 0. What is r?
-445, 0
Determine r so that r**5/3 - 5*r**4/3 + 2*r**3 + 4*r**2/3 - 8*r/3 = 0.
-1, 0, 2
Factor 2*s**2/5 - 2*s - 828/5.
2*(s - 23)*(s + 18)/5
Solve -4*k**2 - 168*k - 320 = 0.
-40, -2
Find m such that -2*m**5/7 + 4*m**4 - 104*m**3/7 + 132*m**2/7 - 54*m/7 = 0.
0, 1, 3, 9
Solve 42*s**4 + 257*s**3 + 245*s**2 + 50*s = 0 for s.
-5, -5/6, -2/7, 0
Solve w**3/2 - 57*w**2/2 + 420*w - 392 = 0.
1, 28
What is o in -5*o**3/4 - 10353*o**2/4 + 2071*o/2 = 0?
-2071, 0, 2/5
Factor -2*g**2/9 - 38*g/9.
-2*g*(g + 19)/9
Factor -f**2/4 + 9.
-(f - 6)*(f + 6)/4
Determine b so that -2*b**4 - 12*b**3 + 304*b**2 - 1140*b + 850 = 0.
-17, 1, 5
Solve 4*a**4 + 80*a**3 + 504*a**2 + 1296*a + 1188 = 0.
-11, -3
Solve z**5 + 6*z**4 + 7*z**3 - 6*z**2 - 8*z = 0 for z.
-4, -2, -1, 0, 1
Solve 2*m**4/11 - 2384*m**3/11 + 7140*m**2/11 - 7136*m/11 + 2378/11 = 0.
1, 1189
Find w such that 2*w**3/5 + 46*w**2/5 + 182*w/5 - 1014/5 = 0.
-13, 3
Suppose -3*p**2 + 300*p + 303 = 0. Calculate p.
-1, 101
Factor d**5 - 2*d**4 - 4*d**3 + 8*d**2.
d**2*(d - 2)**2*(d + 2)
Find r, given that 32*r**5/3 - 84*r**4 + 448*r**3/3 + 188*r**2/3 - 208*r - 80/3 = 0.
-1, -1/8, 2, 5
Find l such that -7*l**5/6 + 5*l**4/6 + 43*l**3/3 - 86*l**2/3 + 28*l/3 + 16/3 = 0.
-4, -2/7, 1, 2
Factor q**4/6 - 4*q**3/3 - q**2/6 + 4*q/3.
q*(q - 8)*(q - 1)*(q + 1)/6
Factor z**2/4 - 3*z/4 - 85.
(z - 20)*(z + 17)/4
Find d, given that 7*d**2/2 - 309*d + 88 = 0.
2/7, 88
Let 5*s**4 - 250*s**3 + 485*s**2 - 240*s = 0. What is s?
0, 1, 48
Let -2*a**4/7 + 4*a**3/7 - 2*a**2/7 = 0. What is a?
0, 1
Factor -4*h**2 + 16*h + 240.
-4*(h - 10)*(h + 6)
Find j such that j**3/3 + 275*j**2/3 + 1886*j/3 + 2680/3 = 0.
-268, -5, -2
Factor 25*r**3 + 160*r**2 + 260*r + 80.
5*(r + 2)*(r + 4)*(5*r + 2)
Factor 2*g**3 - 60*g**2 - 264*g - 272.
2*(g - 34)*(g + 2)**2
Solve -2*j**2 + 78*j - 76 = 0 for j.
1, 38
Let d**3/2 - 15*d**2/2 + 36*d - 56 = 0. What is d?
4, 7
Let 5202*w**3/5 + 21216*w**2/5 + 328*w + 32/5 = 0. What is w?
-4, -2/51
Let -5*l**2 + 150*l + 1295 = 0. What is l?
-7, 37
Factor -5*l**2 + 695*l - 2700.
-5*(l - 135)*(l - 4)
Suppose -5*k**5/3 + 10*k**4 - 25*k**3/3 = 0. What is k?
0, 1, 5
Solve k**5 - 51*k**4 + 1008*k**3 - 9504*k**2 + 41472*k - 62208 = 0 for k.
3, 12
Factor 12*q**2/5 - 34*q/5 - 6/5.
2*(q - 3)*(6*q + 1)/5
Find m, given that 3*m**2/2 - 630*m + 66150 = 0.
210
Suppose -j**4/2 + 59*j**3 = 0. What is j?
0, 118
Find u such that -5*u**5/3 + 20*u**3/3 - 10*u**2/3 - 5*u + 10/3 = 0.
-2, -1, 1
Factor -2*t**3 - 1602*t**2 - 9550*t - 7950.
-2*(t + 1)*(t + 5)*(t + 795)
Let d**2/2 + 677*d/2 = 0. What is d?
-677, 0
Factor -t**2/7 - 54*t/7 - 104/7.
-(t + 2)*(t + 52)/7
Factor -3*z**2/4 - 39*z + 159/4.
-3*(z - 1)*(z + 53)/4
Factor -i**4/5 - 3*i**3/5 + i**2/5 + 3*i/5.
-i*(i - 1)*(i + 1)*(i + 3)/5
Factor 5*z**2 - 1935*z.
5*z*(z - 387)
Factor 4*p**3 - 48*p**2 - 108*p - 56.
4*(p - 14)*(p + 1)**2
Suppose 3*t**2 - 12 = 0. Calculate t.
-2, 2
Factor -v**2/3 + 1838*v/3 + 613.
-(v - 1839)*(v + 1)/3
Factor r**4 - 190*r**3 - 193*r**2 + 382*r.
r*(r - 191)*(r - 1)*(r + 2)
Factor 3*x**3 - 1201*x**2 + 1597*x - 399.
(x - 399)*(x - 1)*(3*x - 1)
Factor j**3 + 13*j**2 + 23*j + 11.
(j + 1)**2*(j + 11)
Factor f**4/3 + 5*f**3/3 + 2*f**2/3 - 20*f/3 - 8.
(f - 2)*(f + 2)**2*(f + 3)/3
Let -o**4 - 6*o**3 + 60*o**2 - 136*o + 96 = 0. What is o?
-12, 2
Determine s so that s**5 + 24*s**4 + 157*s**3 + 246*s**2 + 112*s = 0.
-14, -8, -1, 0
Factor -v**2/4 + 31*v/2 - 61/4.
-(v - 61)*(v - 1)/4
Factor -6*q**2/11 - 34*q/11 + 12/11.
-2*(q + 6)*(3*q - 1)/11
Factor 8*k**2/5 - 26*k/5 + 4.
2*(k - 2)*(4*k - 5)/5
Let 105*z**2 + 102*z - 3 = 0. What is z?
-1, 1/35
Suppose -4*i**4/5 - 96*i**3/5 - 36*i**2 - 88*i/5 = 0. What is i?
-22, -1, 0
Suppose -2*m**5/13 + 48*m**4/13 - 382*m**3/13 + 976*m**2/13 + 384*m/13 - 1024/13 = 0. Calculate m.
-1, 1, 8
Factor -t**2/3 + 25*t/3 + 28.
-(t - 28)*(t + 3)/3
Determine k so that 3*k**4 - 12*k**3 + 9*k**2 = 0.
0, 1, 3
Factor -2*n**3 + 36*n**2 + 78*n - 760.
-2*(n - 19)*(n - 4)*(n + 5)
Solve 3*i**2/5 - 69*i/5 = 0.
0, 23
Solve -10*t**3 + 35*t**2 - 45 = 0 for t.
-1, 3/2, 3
Factor -212*a**3 - 856*a**2 - 880*a - 32.
-4*(a + 2)**2*(53*a + 2)
Factor 39*a**2 + 5466*a + 840.
3*(a + 140)*(13*a + 2)
Factor w**2/7 - 6*w/7 + 8/7.
(w - 4)*(w - 2)/7
Factor n**3/3 + 5*n**2 + 9*n - 81.
(n - 3)*(n + 9)**2/3
Solve 4*c**3 + 52*c**2 - 56*c = 0.
-14, 0, 1
Solve h**2 - 654*h + 106929 = 0.
327
Suppose -5*n**4/6 + 5*n**3 - 10*n**2/3 - 5*n + 25/6 = 0. Calculate n.
-1, 1, 5
What is u in -4*u**2 - 4*u + 80 = 0?
-5, 4
Solve 3*l**3/7 + 1854*l**2/7 + 381924*l/7 + 26225448/7 = 0 for l.
-206
Factor -4*q**2/9 + 76*q/3 + 232/9.
-4*(q - 58)*(q + 1)/9
Determine b, given that -21*b**5/2 + 69*b**4/2 + 33*b**3 - 12*b**2 = 0.
-1, 0, 2/7, 4
Solve 2*u**3/3 + 20*u**2 + 154*u/3 - 72 = 0 for u.
-27, -4, 1
Determine w so that -2*w**4/5 + 2*w**3/5 + 8*w**2/5 - 8*w/5 = 0.
-2, 0, 1, 2
What is z in 3*z**4/2 - 141*z**3/2 + 327*z**2 - 510*z + 252 = 0?
1, 2, 42
Find i, given that 5*i**5/2 - 36*i**4 + 194*i**3 - 477*i**2 + 999*i/2 - 135 = 0.
2/5, 3, 5
Factor u**3/8 + 14*u**2 - 118*u + 240.
(u - 4)**2*(u + 120)/8
Factor 2*c**2/3 - 308*c/3 + 102.
2*(c - 153)*(c - 1)/3
Suppose 2*t**3/9 - 56*t**2/3 - 58*t/3 + 340/9 = 0. Calculate t.
-2, 1, 85
Solve 5*b**2 + 35*b - 220 = 0 for b.
-11, 4
Factor q**4/12 - 5*q**3/12 - q**2/2.
q**2*(q - 6)*(q + 1)/12
Let -o**2/3 - 11*o/3 - 10/3 = 0. Calculate o.
-10, -1
Determine j so that 2*j**5/11 - 46*j**4/11 + 86*j**3/11 - 42*j**2/11 = 0.
0, 1, 21
Factor -i**3/2 - 23*i**2/6 - 20*i/3 + 8/3.
-(i + 4)**2*(3*i - 1)/6
Suppose 99*j**4/2 + 41*j**3 - 101*j**2/2 - 26*j + 16 = 0. What is j?
-1, 4/9, 8/11
Determine b, given that -2*b**2/7 + 6*b/7 - 4/7 = 0.
1, 2
Solve -3*z**3/8 + 72*z**2 + 1161*z/8 + 291/4 = 0.
-1, 194
Solve -5*h**5 - 1760*h**4 - 10440*h**3 - 20800*h**2 - 13840*h = 0 for h.
-346, -2, 0
Determine p, given that -5*p**5 + 100*p**4 - 510*p**3 + 740*p**2 - 325*p = 0.
0, 1, 5, 13
Factor -35*d**3 + 1125*d**2 + 995*d - 165.
-5*(d - 33)*(d + 1)*(7*d - 1)
Determine q so that -q**5 + 5*q**4 + 15*q**3 - 5*q**2 - 14*q = 0.
-2, -1, 0, 1, 7
Find p, given that -4*p**4 - 20*p**3 + 132*p**2 - 108*p = 0.
-9, 0, 1, 3
Let -2*g**2/11 - 40*g/11 - 38/11 = 0. What is g?
-19, -1
Solve 56644*g**2 + 3808*g + 64 = 0.
-4/119
Suppose 2*b**2 - 10*b - 72 = 0. What is b?
-4, 9
Find r, given that 15*r**5 - 10*r**4 = 0.
0, 2/3
Let -n**3/2 + 36*n**2 - 864*n + 6912 = 0. Calculate n.
24
Factor -2*f**4/11 + 6*f**3/11 - 8*f/11.
-2*f*(f - 2)**2*(f + 1)/11
Find g, given that g**2/4 + 21*g/2 + 41/4 = 0.
-41, -1
Factor w**2/9 - 11*w/3 - 34/9.
(w - 34)*(w + 1)/9
Find z, given that -7*z**2/4 - 73*z/4 - 33/2 = 0.
-66/7, -1
Let 22*h**2 + 166*h - 188 = 0. What is h?
-94/11, 1
What is a in -4*a**3 - 156*a**2 - 1596*a - 1444 = 0?
-19, -1
Determine i so that 6*i**4 + 451*i**3 + 518*i**2 = 0.
-74, -7/6, 0
Suppose 3*k**2/5 + 153*k/5 + 432/5 = 0. What is k?
-48, -3
Factor -20*h**2/3 + 79*h/3 + 4/3.
-(h - 4)*(20*h + 1)/3
Find i such that -2*i**2 - 3618*i - 3616 = 0.
-1808, -1
Factor -h**4/4 + 43*h**3/2 - 1849*h**2/4.
-h**2*(h - 43)**2/4
Find l such that -4*l**4 - 212*l**3 - 208*l**2 = 0.
-