*y**3/3 - 145*y**2 - 10*y/3.
-5*y*(y + 1)*(85*y + 2)/3
Find p, given that 2*p**5 - 82*p**4/7 + 170*p**3/7 - 142*p**2/7 + 32*p/7 + 8/7 = 0.
-1/7, 1, 2
Suppose 2*o**4 + 75*o**3/2 + 243*o**2 + 594*o + 324 = 0. Calculate o.
-6, -3/4
Factor 13*d**4/8 + 77*d**3/4 - 3*d**2.
d**2*(d + 12)*(13*d - 2)/8
Factor -10*k**3/7 - 156*k**2/7 - 90*k/7.
-2*k*(k + 15)*(5*k + 3)/7
Let i**3/6 + 5*i**2/6 - 100*i/3 - 250 = 0. What is i?
-10, 15
Factor 87*k**2 - 171*k - 6.
3*(k - 2)*(29*k + 1)
Factor s**2/2 + 429*s/2 + 427.
(s + 2)*(s + 427)/2
Suppose -2*h**2 - 4676*h - 2733122 = 0. Calculate h.
-1169
Solve -3*h**4 + 51*h**3 - 213*h**2 + 165*h = 0.
0, 1, 5, 11
Factor p**3/4 + 537*p**2/4 + 96123*p/4 + 5735339/4.
(p + 179)**3/4
Factor -2*n**5/5 + 34*n**4/5 - 104*n**3/5.
-2*n**3*(n - 13)*(n - 4)/5
What is u in 52*u**2 + 404*u - 1848 = 0?
-11, 42/13
Factor p**5/6 + 13*p**4/6 + 17*p**3/3 - 8*p**2.
p**2*(p - 1)*(p + 6)*(p + 8)/6
Determine g so that 5*g**3 - 45*g**2 - 60*g + 100 = 0.
-2, 1, 10
Find d such that 2*d**2/11 + 248*d + 2726/11 = 0.
-1363, -1
Suppose -9*j**5/5 - 24*j**4/5 + 54*j**3/5 + 12*j**2/5 - 9*j + 12/5 = 0. Calculate j.
-4, -1, 1/3, 1
Factor 2*y**4/9 - 14*y**3/3 + 22*y**2 + 242*y/9.
2*y*(y - 11)**2*(y + 1)/9
What is a in -2*a**5/7 - 1326*a**4/7 + 8002*a**3/7 - 17370*a**2/7 + 16048*a/7 - 5352/7 = 0?
-669, 1, 2
Factor 2*c**3 + 12*c**2 + 6*c - 20.
2*(c - 1)*(c + 2)*(c + 5)
Factor -g**2 - 84*g - 243.
-(g + 3)*(g + 81)
Let -2*x**4/11 + 2*x**3/11 + 12*x**2/11 - 8*x/11 - 16/11 = 0. What is x?
-2, -1, 2
Find u, given that -70*u**2 + 25*u + 5 = 0.
-1/7, 1/2
Suppose -2*d**3/9 + 284*d**2/9 - 94*d/3 = 0. What is d?
0, 1, 141
Determine s so that 23*s**3/10 - 42*s**2/5 - 16*s/5 = 0.
-8/23, 0, 4
Factor 100*v**4 - 160*v**3 - 336*v**2 + 640*v - 256.
4*(v - 2)*(v + 2)*(5*v - 4)**2
Solve 4*n**3 - 16*n**2 - 4*n + 16 = 0.
-1, 1, 4
Factor -2*i**3 - 602*i**2 - 2384*i - 2376.
-2*(i + 2)**2*(i + 297)
Let -u**3/4 - 7*u**2/4 + 41*u/4 - 33/4 = 0. Calculate u.
-11, 1, 3
Let r**3/6 - 37*r**2/6 - 80*r/3 - 82/3 = 0. Calculate r.
-2, 41
Suppose 3*b**5/8 - 3*b**4/2 - 27*b**3/8 + 6*b**2 + 15*b/2 = 0. What is b?
-2, -1, 0, 2, 5
Let 12*h**2 + 2612*h - 872 = 0. What is h?
-218, 1/3
Suppose -4*q**4 - 28*q**3 + 112*q**2 - 80*q = 0. Calculate q.
-10, 0, 1, 2
Suppose -q**3 - 39*q**2 - 432*q - 1472 = 0. What is q?
-23, -8
Factor -22*s**3/3 + 12*s**2 + 16*s/3.
-2*s*(s - 2)*(11*s + 4)/3
Factor b**3/4 - 3*b**2/2 + 3*b/4 + 5/2.
(b - 5)*(b - 2)*(b + 1)/4
Let 25*s**3 + 62*s**2 + 24*s = 0. What is s?
-2, -12/25, 0
Factor -l**4 + 215*l**3 + 1317*l**2 + 1989*l.
-l*(l - 221)*(l + 3)**2
Factor a**2/7 - 34*a/7 + 64/7.
(a - 32)*(a - 2)/7
Factor 5*k**3 + 1695*k**2 + 191535*k + 7214485.
5*(k + 113)**3
Factor 3*f**3/2 - 1473*f**2/2 + 181545*f/2 - 180075/2.
3*(f - 245)**2*(f - 1)/2
Suppose -10*g**2 - 2035*g + 1020 = 0. What is g?
-204, 1/2
Find y, given that -y**2/4 + 59*y/4 + 61/2 = 0.
-2, 61
Let -3*q**5 + 327*q**4 + 9*q**3 - 975*q**2 - 654*q = 0. Calculate q.
-1, 0, 2, 109
Determine q so that q**2 - 6*q = 0.
0, 6
Factor -53138*w**2/9 - 1304*w/9 - 8/9.
-2*(163*w + 2)**2/9
Factor -225*u**3/11 + 1545*u**2/11 - 296*u + 176.
-(u - 1)*(15*u - 44)**2/11
Find k such that 10*k**4/9 + 6194*k**3/9 - 7468*k**2/3 + 14968*k/9 + 9968/9 = 0.
-623, -2/5, 2
Factor 3*b**3/4 - 3*b**2 + 3*b.
3*b*(b - 2)**2/4
Factor -7*v**5 - 478*v**4 - 8228*v**3 - 2312*v**2.
-v**2*(v + 34)**2*(7*v + 2)
Factor 1156*j**4/7 - 544*j**3 + 1504*j**2/7 + 384*j + 576/7.
4*(j - 2)**2*(17*j + 6)**2/7
Solve -6*p**5/17 - 44*p**4/17 - 40*p**3/17 + 48*p**2/17 = 0.
-6, -2, 0, 2/3
Solve 2*u**3/7 + 46*u**2/7 + 352*u/7 + 128 = 0 for u.
-8, -7
What is x in -x**3/3 + 22*x**2/3 - 128*x/3 + 224/3 = 0?
4, 14
What is s in -2*s**5 - 10*s**4 + 4*s**3 + 56*s**2 + 16*s - 64 = 0?
-4, -2, 1, 2
Factor q**4/2 - 261*q**3/2 + 519*q**2/2 - 259*q/2.
q*(q - 259)*(q - 1)**2/2
Let -2*o**4/7 + 430*o**3/7 + 62*o**2 - 430*o/7 - 432/7 = 0. Calculate o.
-1, 1, 216
Factor 5*j**5 + 35*j**4 - 45*j**3 - 35*j**2 + 40*j.
5*j*(j - 1)**2*(j + 1)*(j + 8)
Solve -14*m**3 - 3734*m**2 + 4820*m - 1072 = 0 for m.
-268, 2/7, 1
Determine t so that -8*t**3 - 36*t**2 + 44*t + 240 = 0.
-4, -3, 5/2
Find s such that -3*s**3 + 33*s**2 = 0.
0, 11
Factor -2*u**3/17 + 98*u**2/17 - 798*u/17 + 702/17.
-2*(u - 39)*(u - 9)*(u - 1)/17
Factor 2401*n**5/3 - 20923*n**4 + 69776*n**3/3 - 29624*n**2/3 + 1872*n - 400/3.
(n - 25)*(7*n - 2)**4/3
Determine g so that 4*g**4 + 8*g**3 - 60*g**2 = 0.
-5, 0, 3
Factor 2*b**3 - 8*b**2 - 10*b.
2*b*(b - 5)*(b + 1)
Factor n**3 + 17*n**2 + 47*n - 65.
(n - 1)*(n + 5)*(n + 13)
Determine j so that -4*j**2/7 + 20*j/7 + 416/7 = 0.
-8, 13
Suppose 49*n**5 - 147*n**4 + 94*n**3 + 12*n**2 - 8*n = 0. What is n?
-2/7, 0, 2/7, 1, 2
Find y, given that y**2/9 - 11*y/9 - 4/3 = 0.
-1, 12
Determine g, given that 8*g**4/7 + 156*g**3/7 + 472*g**2/7 + 384*g/7 = 0.
-16, -2, -3/2, 0
Solve 36*i**4 + 20*i**3 - 52*i**2 - 20*i + 16 = 0 for i.
-1, 4/9, 1
Let 5*k**4 - 1470*k**3 + 145500*k**2 - 4986770*k + 13690095 = 0. What is k?
3, 97
Suppose 5*i**2 + 4735*i + 4730 = 0. What is i?
-946, -1
Find n such that 4*n**5 - 16*n**4 - 88*n**3 + 16*n**2 + 84*n = 0.
-3, -1, 0, 1, 7
Factor -2*o**2/9 - 20*o/9 - 2.
-2*(o + 1)*(o + 9)/9
Let 4*s**5 - 960*s**4 + 1892*s**3 + 2856*s**2 = 0. Calculate s.
-1, 0, 3, 238
Determine t so that t**4/2 - 31*t**3/2 - t**2/2 + 31*t/2 = 0.
-1, 0, 1, 31
Factor 3*a**2 - 132*a - 135.
3*(a - 45)*(a + 1)
Find x such that -2*x**3/11 - 24*x**2/11 + 26*x/11 = 0.
-13, 0, 1
Solve -12*y**5 - 2511*y**4 - 627*y**3 = 0.
-209, -1/4, 0
Factor -4*l**4 + 548*l**3 - 18492*l**2 - 19044*l.
-4*l*(l - 69)**2*(l + 1)
Factor 190*a**2/7 + 376*a/7 - 8/7.
2*(a + 2)*(95*a - 2)/7
Factor h**5/3 + 2*h**4 - 28*h**3/3 - 40*h**2 + 96*h.
h*(h - 4)*(h - 2)*(h + 6)**2/3
Solve -5*k**3/3 - 100*k**2/3 - 60*k = 0.
-18, -2, 0
Determine z, given that z**4/3 - 49*z**3/3 - z**2 + 149*z/3 - 98/3 = 0.
-2, 1, 49
Factor t**3/2 + 11*t**2/2 - 25*t/2 + 13/2.
(t - 1)**2*(t + 13)/2
Solve -5*q**5 + 5*q**4 + 30*q**3 - 70*q**2 + 55*q - 15 = 0.
-3, 1
Factor -2*t**3/3 - 136*t**2/3 - 266*t/3 - 44.
-2*(t + 1)**2*(t + 66)/3
Factor -5*n**5 + 60*n**4 - 100*n**3.
-5*n**3*(n - 10)*(n - 2)
Solve 2*q**2/7 + 1080*q + 1020600 = 0 for q.
-1890
Find d such that -2*d**2/17 - 14*d/17 + 16/17 = 0.
-8, 1
Factor -s**3 - 932*s**2 - 217156*s.
-s*(s + 466)**2
Factor j**3/8 + 3*j**2/4 - j/8 - 3/4.
(j - 1)*(j + 1)*(j + 6)/8
Factor d**4 + 53*d**3 - 224*d**2 + 228*d.
d*(d - 2)**2*(d + 57)
Determine l, given that 4*l**2/3 + 2564*l/3 - 856 = 0.
-642, 1
Let -2*h**3/7 + 16*h**2/7 + 2*h/7 - 16/7 = 0. Calculate h.
-1, 1, 8
Find n such that -3*n**2/2 - 69*n/2 - 114 = 0.
-19, -4
Factor v**2/7 - v + 12/7.
(v - 4)*(v - 3)/7
Factor i**3 + 409*i**2 - 821*i + 411.
(i - 1)**2*(i + 411)
Factor -g**5 + 378*g**4 - 1502*g**3 + 2248*g**2 - 1497*g + 374.
-(g - 374)*(g - 1)**4
Suppose -4*b**3/5 - 76*b**2/5 + 4*b/5 + 76/5 = 0. What is b?
-19, -1, 1
Determine i, given that 49*i**4/6 + 10850*i**3 + 102211*i**2/6 + 7078*i + 2654/3 = 0.
-1327, -1, -2/7
Factor -4*a**4 - 32*a**3 + 4*a**2 + 32*a.
-4*a*(a - 1)*(a + 1)*(a + 8)
What is y in -y**5 - 76*y**4 + 234*y**3 - 236*y**2 + 79*y = 0?
-79, 0, 1
Find w such that -2*w**3 + 144*w**2 - 2592*w = 0.
0, 36
Find x such that x**3 + 53*x**2/2 + 73*x/2 - 25 = 0.
-25, -2, 1/2
Solve -1575*z**3 - 2385*z**2 - 890*z - 80 = 0.
-1, -8/21, -2/15
Factor -z**3/7 - 2*z**2/7.
-z**2*(z + 2)/7
Suppose 5*l**5 + 10*l**4 - 35*l**3 - 100*l**2 - 60*l = 0. Calculate l.
-2, -1, 0, 3
Factor a**2/2 + 53*a/2 - 55.
(a - 2)*(a + 55)/2
Factor -7*n**2/2 + 54*n - 70.
-(n - 14)*(7*n - 10)/2
Factor -2*b**5 - 36*b**4 - 66*b**3 - 32*b**2.
-2*b**2*(b + 1)**2*(b + 16)
Factor -2*g**2/7 + 50*g/7 - 132/7.
-2*(g - 22)*(g - 3)/7
Determine q so that 3*q**4 - 402*q**3 + 396*q**2 + 402*q - 399 = 0.
-1, 1, 133
Suppose c**2 - 56*c + 784 = 0. Calculate c.
28
Suppose i**2 - 33*i + 32 = 0. What is i?
1, 32
Factor -4*g**3 - 32*g**2 + 560*g + 4800.
-4*(g - 12)*(g + 10)**2
Let -3*d**4 + 57*d**3 - 231*d**2 + 303*d - 126 = 0. What is d?
1, 3, 14
Solve 3*g**3/2 - 159*g**2/2 + 309*g/2 - 153/2 = 0 for g.
1, 51
Factor -t**2 + 11*t.
-t*(t - 11)
Factor u**5/4 - 9*u**4/4 + 11*u**3/4 + 117*u**2/4 - 108*u + 108.
(u - 4)*(u - 3)**3*(u + 4)/4
Determine i so that -4*i**2 - 160*i - 156 = 0.
-39, -1
Solve -5*j**4 - 85*j**3 - 440*j**2 - 72