**2 + 54*w - 108 = 0. Calculate w.
-2, 3
Factor 3*i**4 - 93*i**3 + 240*i**2 + 336*i.
3*i*(i - 28)*(i - 4)*(i + 1)
Suppose -5*p**3/4 + 165*p**2 - 1915*p/4 - 645 = 0. Calculate p.
-1, 4, 129
Factor u**5/4 - 5*u**4/4 + 7*u**3/4 - 3*u**2/4.
u**2*(u - 3)*(u - 1)**2/4
Factor 2*v**2 - 64*v - 288.
2*(v - 36)*(v + 4)
Find j, given that -2*j**3/5 + 38*j**2/5 - 48*j + 504/5 = 0.
6, 7
Determine l, given that 16*l**5/3 + 97*l**4/3 + 66*l**3 + 172*l**2/3 + 58*l/3 + 1 = 0.
-3, -1, -1/16
Find y, given that -y**5/2 - 51*y**4/2 - 623*y**3/2 + 727*y**2/2 + 312*y - 338 = 0.
-26, -1, 1
Factor 2*g**2/5 - 178*g/5 - 36.
2*(g - 90)*(g + 1)/5
Suppose -3*z**4 - 54*z**3 - 183*z**2 + 540*z - 300 = 0. Calculate z.
-10, 1
Solve -3*g**5 + 12*g**4 - 9*g**3 - 12*g**2 + 12*g = 0.
-1, 0, 1, 2
Factor r**2/2 - 81*r/2 - 126.
(r - 84)*(r + 3)/2
Factor h**2/4 - 135*h/4 - 139.
(h - 139)*(h + 4)/4
Factor -r**2 + 29*r + 210.
-(r - 35)*(r + 6)
Factor -2*q**2/5 - 4*q/5 - 2/5.
-2*(q + 1)**2/5
Factor 2*w**3/3 + 2*w**2 - 2*w/3 - 2.
2*(w - 1)*(w + 1)*(w + 3)/3
Suppose -4*b**5 - 28*b**4 - 20*b**3 + 220*b**2 + 504*b + 288 = 0. What is b?
-4, -3, -2, -1, 3
Factor -j**4/4 + 3*j**2/4 - j/2.
-j*(j - 1)**2*(j + 2)/4
Determine r, given that -r**5 - 210*r**4 - 824*r**3 = 0.
-206, -4, 0
Factor -5*k**4 + 65*k**3 - 270*k**2 + 460*k - 280.
-5*(k - 7)*(k - 2)**3
Factor -2*c**4/3 + 266*c**3/3 - 260*c**2.
-2*c**2*(c - 130)*(c - 3)/3
Solve 3*i**2 - 12*i - 351 = 0 for i.
-9, 13
Factor 3*n**2 + 198*n + 3267.
3*(n + 33)**2
Let -o**4 - 110*o**3 - 2661*o**2 + 20996*o + 23548 = 0. Calculate o.
-58, -1, 7
Factor -k**3 - 115*k**2 + 473*k - 357.
-(k - 3)*(k - 1)*(k + 119)
Factor z**3/8 + 103*z**2/4 + 10609*z/8.
z*(z + 103)**2/8
Factor -2*i**3/7 - 26*i**2/7 + 48*i.
-2*i*(i - 8)*(i + 21)/7
Let -4*l**4 - 56*l**3 - 160*l**2 = 0. What is l?
-10, -4, 0
Determine u, given that -6*u**4/7 + 3*u**3 + 90*u**2/7 = 0.
-5/2, 0, 6
What is y in y**4/3 + 36*y**3 + 1296*y**2 + 15552*y = 0?
-36, 0
Let -10*d**3 - 68*d**2 + 314*d - 60 = 0. Calculate d.
-10, 1/5, 3
Find p, given that p**2 - 585*p = 0.
0, 585
What is f in 2*f**4 + 12*f**3 + 26*f**2 + 24*f + 8 = 0?
-2, -1
Find h such that -3*h**3/2 - 117*h**2 - 4563*h/2 = 0.
-39, 0
Factor 5*r**2 + 5110*r - 10240.
5*(r - 2)*(r + 1024)
Factor -2*y**3/23 - 24*y**2/23 - 70*y/23 - 48/23.
-2*(y + 1)*(y + 3)*(y + 8)/23
Let -2*t**3/3 + 44*t**2/3 - 280*t/3 + 400/3 = 0. Calculate t.
2, 10
Suppose r**3 + 27*r**2/4 + 27*r/2 + 27/4 = 0. What is r?
-3, -3/4
Factor -q**3/4 + 81*q**2/4 + q - 81.
-(q - 81)*(q - 2)*(q + 2)/4
Solve 3*z**2 - 108*z + 924 = 0.
14, 22
Determine i, given that -i**3/4 - 19*i**2/4 - 15*i = 0.
-15, -4, 0
Let -2197*n**5/5 + 12168*n**4/5 - 2769*n**3 - 8198*n**2/5 - 1356*n/5 - 72/5 = 0. Calculate n.
-2/13, 3
Factor k**2/8 + 295*k/4 - 591/8.
(k - 1)*(k + 591)/8
Solve q**4 + 638*q**3/5 + 15844*q**2/5 - 60088*q + 23520 = 0.
-70, 2/5, 12
Let -6*x**3/5 + 132*x**2/5 - 546*x/5 + 612/5 = 0. Calculate x.
2, 3, 17
Determine o, given that -35*o**3 - 430*o**2 - 1380*o - 360 = 0.
-6, -2/7
Factor -2*v**3/3 + 2*v**2/3 + 4*v/3.
-2*v*(v - 2)*(v + 1)/3
Determine g, given that -2*g**5/7 - 6*g**4/7 = 0.
-3, 0
Find q, given that 5*q**3 - 5370*q**2 - 10760*q = 0.
-2, 0, 1076
Factor -n**2 - 10*n - 9.
-(n + 1)*(n + 9)
Solve -32*g**5 + 1936*g**4 - 2834*g**3 + 106*g**2 + 706*g + 118 = 0 for g.
-1/4, 1, 59
Factor 7*g**3/4 - 9*g**2/2.
g**2*(7*g - 18)/4
Factor -f**2/4 + 211*f/4 + 270.
-(f - 216)*(f + 5)/4
Factor -3*t**3/4 - 15*t**2/2 + 96*t - 216.
-3*(t - 4)**2*(t + 18)/4
Factor g**4 + 7*g**3 + 14*g**2 + 8*g.
g*(g + 1)*(g + 2)*(g + 4)
Let -2*p**4 - 22*p**3 + 206*p**2 + 1870*p - 4356 = 0. Calculate p.
-11, 2, 9
Suppose -5*h**2 + 2295*h - 2290 = 0. Calculate h.
1, 458
Find m, given that -2*m**3/5 + 76*m**2/5 + 158*m/5 + 16 = 0.
-1, 40
Find n, given that -15*n**2 + 186*n - 72 = 0.
2/5, 12
Factor 52*k**3 - 28*k**2 - 80*k.
4*k*(k + 1)*(13*k - 20)
Solve -2*s**3/3 - 2*s**2/3 + 4*s/3 = 0 for s.
-2, 0, 1
Suppose -16*w**3/5 + 608*w**2/5 - 587*w/5 - 37 = 0. What is w?
-1/4, 5/4, 37
Suppose 4*z**4/7 - 4*z**3/7 - 32*z**2/7 + 48*z/7 = 0. What is z?
-3, 0, 2
Solve 49*l**5/3 - 665*l**4/3 + 433*l**3 + 1033*l**2/3 - 848*l/3 + 44 = 0.
-1, 2/7, 3, 11
Factor -z**4/2 - 81*z**3/2 - 1155*z**2/2 + 45325*z/2 + 514500.
-(z - 24)*(z + 35)**3/2
Solve 3*c**2 + 30*c + 72 = 0 for c.
-6, -4
Factor 4*f**4 + 56*f**3 - 780*f**2 - 7200*f + 54000.
4*(f - 10)*(f - 6)*(f + 15)**2
Let -2*m**3/5 - 4*m**2 - 14*m/5 + 36/5 = 0. Calculate m.
-9, -2, 1
Let c**2/4 - 3*c/2 + 9/4 = 0. Calculate c.
3
Factor 14*x**3/5 - 192*x**2/5 - 1736*x/5 - 96.
2*(x - 20)*(x + 6)*(7*x + 2)/5
Solve -5*a**4 - 60*a**3 - 175*a**2 + 60*a + 180 = 0 for a.
-6, -1, 1
Factor u**5/8 - 7*u**4/4 + 3*u**3 + u**2/4 - 25*u/8 + 3/2.
(u - 12)*(u - 1)**3*(u + 1)/8
Factor 4*z**5/3 - 4*z**4/3 - 32*z**3/3 + 16*z**2.
4*z**2*(z - 2)**2*(z + 3)/3
Let -5*u**4 - 10*u**3 + 65*u**2 - 50*u = 0. Calculate u.
-5, 0, 1, 2
Determine k so that 16*k**3 - 140*k**2 - 612*k - 144 = 0.
-3, -1/4, 12
Factor -i**4/2 - 12*i**3 - 45*i**2/2 - 11*i.
-i*(i + 1)**2*(i + 22)/2
Factor 21*h**4 - 93*h**3 + 36*h**2.
3*h**2*(h - 4)*(7*h - 3)
Suppose 5*u**2 + 830*u + 1640 = 0. Calculate u.
-164, -2
Suppose 4*g**2 - 10744*g + 7214596 = 0. What is g?
1343
Factor -a**4/2 + 57*a**3 - 2166*a**2 + 27436*a.
-a*(a - 38)**3/2
Solve -6512*m**4 + 19504*m**3 + 503*m**2 - 1219*m - 6 = 0 for m.
-1/4, -2/407, 1/4, 3
Factor -n**3/2 - 19*n**2 - 339*n/2 + 189.
-(n - 1)*(n + 18)*(n + 21)/2
Find k such that -15*k**3/2 + 72*k**2 - 291*k/2 + 63 = 0.
3/5, 2, 7
What is m in -4*m**2 - 168*m - 164 = 0?
-41, -1
Solve -39*y**2/5 - 171*y/5 + 24 = 0 for y.
-5, 8/13
Factor -2*u**3/19 + 48*u**2/19 + 216*u/19 + 224/19.
-2*(u - 28)*(u + 2)**2/19
Factor -3*j**4/5 - 9*j**3 - 78*j**2/5.
-3*j**2*(j + 2)*(j + 13)/5
Factor 3*d**4/4 - 471*d**3/4.
3*d**3*(d - 157)/4
Determine g, given that -g**5/4 + 7*g**3/2 - 3*g**2 - 13*g/4 + 3 = 0.
-4, -1, 1, 3
Factor -5*s**2 - 2850*s - 2845.
-5*(s + 1)*(s + 569)
Let -m**3 - 6*m**2 + 15*m - 8 = 0. What is m?
-8, 1
Suppose -z**4 + 31*z**3 - 113*z**2 + 137*z - 54 = 0. What is z?
1, 2, 27
Suppose -15*w**5/4 - 5*w**4/4 + 25*w**3/4 + 5*w**2/4 - 5*w/2 = 0. Calculate w.
-1, 0, 2/3, 1
Find q such that -35*q**5 - 290*q**4 - 290*q**3 + 2460*q**2 + 5445*q + 1350 = 0.
-5, -3, -2/7, 3
Factor -4*s**4 - 68*s**3 - 180*s**2 - 172*s - 56.
-4*(s + 1)**3*(s + 14)
Factor 2*i**3 + 8*i**2.
2*i**2*(i + 4)
Find r, given that r**4/11 - 5*r**3/11 + 3*r**2/11 + 9*r/11 = 0.
-1, 0, 3
Suppose -4*i**5/5 - 276*i**4/5 + 1144*i**3/5 - 1736*i**2/5 + 1164*i/5 - 292/5 = 0. What is i?
-73, 1
Find k such that -3*k**2 + 57*k + 198 = 0.
-3, 22
Factor -2*j**2 - 86*j - 84.
-2*(j + 1)*(j + 42)
Solve 4*z**4 + 256*z**3 + 4096*z**2 = 0.
-32, 0
Find b such that -2*b**4 - 16*b**3 + 60*b**2 - 64*b + 22 = 0.
-11, 1
Solve -2*b**2/7 - 11516*b/7 - 16577282/7 = 0 for b.
-2879
Factor -2*p**3/11 - 94*p**2/11 - 654*p/11 - 1170/11.
-2*(p + 3)*(p + 5)*(p + 39)/11
Factor 4*a**3 - 204*a**2 + 396*a - 196.
4*(a - 49)*(a - 1)**2
Suppose t**4/10 + 37*t**3/10 + 191*t**2/10 + 31*t/2 = 0. Calculate t.
-31, -5, -1, 0
Factor 2*l**3 - 32*l**2.
2*l**2*(l - 16)
Factor -3*f**3 - 93*f**2 + 3*f + 93.
-3*(f - 1)*(f + 1)*(f + 31)
Factor -x**4/6 + 7*x**3/6 - 17*x**2/6 + 17*x/6 - 1.
-(x - 3)*(x - 2)*(x - 1)**2/6
Factor 4*q**3 - 2460*q**2 + 4908*q - 2452.
4*(q - 613)*(q - 1)**2
Factor 2*j**3/13 + 16*j**2/13 + 24*j/13.
2*j*(j + 2)*(j + 6)/13
Factor -v**4/4 + 19*v**3 + 3*v**2/4 - 113*v/2 - 38.
-(v - 76)*(v - 2)*(v + 1)**2/4
Factor f**4 - f**3 - f**2 + f.
f*(f - 1)**2*(f + 1)
Determine m so that -225*m**3 + 6*m**2 + 900*m - 24 = 0.
-2, 2/75, 2
Factor 3*t**4 - 342*t**3 + 10071*t**2 - 17808*t - 28224.
3*(t - 56)**2*(t - 3)*(t + 1)
Determine q so that q**3 + 14*q**2 + 48*q = 0.
-8, -6, 0
Let -3*s**3 + 168*s**2 - 327*s + 162 = 0. Calculate s.
1, 54
Suppose 3*y**2/5 - 51*y/5 + 156/5 = 0. What is y?
4, 13
Factor 2*k**3 - 50*k**2 + 384*k - 936.
2*(k - 13)*(k - 6)**2
Factor -z**3/2 + 207*z**2/2 - 411*z/2 + 205/2.
-(z - 205)*(z - 1)**2/2
Factor 3*f**5 - 18*f**4 + 42*f**3 - 48*f**2 + 27*f - 6.
3*(f - 2)*(f - 1)**4
Solve -a**3 + 28*a**2 + 195*a + 306 = 0.
-3, 34
Determine j, given that 5*j**2 + 135*j + 630 = 0.
-21, -6
Determine v so that -v**4 - 43*v**3 - 630*v**2 - 3332*v - 2744 = 0.
-14, -1
What is o in o**2 - 25*o - 116 = 0?
