0)/4
Factor -18*s**3 + 399*s**2 + 3588*s - 609.
-3*(s - 29)*(s + 7)*(6*s - 1)
Factor 2*x**4/17 + 180*x**3/17 + 6000*x**2/17 + 87500*x/17 + 468750/17.
2*(x + 15)*(x + 25)**3/17
Factor -y**2/4 + 33*y/4 + 37.
-(y - 37)*(y + 4)/4
Factor -2*p**4 - 150*p**3 - 136*p**2 + 888*p.
-2*p*(p - 2)*(p + 3)*(p + 74)
Factor -14*m**2/3 - 43*m/3 - 1.
-(m + 3)*(14*m + 1)/3
Let 2*x**2 - 36*x - 288 = 0. Calculate x.
-6, 24
Factor 12*i**2 - 51*i/2 - 99.
3*(i + 2)*(8*i - 33)/2
Suppose -2*x**5/9 + 2*x**4 + 14*x**3/3 + 22*x**2/9 = 0. What is x?
-1, 0, 11
Factor -5*j**2 - 10*j + 40.
-5*(j - 2)*(j + 4)
Find p such that 4*p**3 - 20*p**2 - 184*p - 160 = 0.
-4, -1, 10
Factor -5*p**3 - 220*p**2 - 2900*p - 12000.
-5*(p + 10)**2*(p + 24)
Factor 5*m**2 + 145*m + 140.
5*(m + 1)*(m + 28)
Determine o so that -2*o**3 + 11412*o**2 - 21705624*o + 13761365616 = 0.
1902
Factor -4*d**2 + 2580*d.
-4*d*(d - 645)
Factor 6*x**3/11 + 180*x**2/11 + 918*x/11 + 1296/11.
6*(x + 3)**2*(x + 24)/11
What is s in 9*s**2 - 528*s - 720 = 0?
-4/3, 60
Solve 3*z**2/7 + 30*z/7 + 27/7 = 0.
-9, -1
Find m, given that -3*m**4/4 + 180*m**3 + 1449*m**2/4 + 363*m/2 = 0.
-1, 0, 242
What is k in 2*k**3/9 + 508*k**2/3 + 129032*k/3 + 32774128/9 = 0?
-254
Factor 2*d**2 + 1004*d + 126002.
2*(d + 251)**2
Solve -3*u**5/2 + 137*u**4/6 - 113*u**3 + 192*u**2 - 112*u/3 = 0 for u.
0, 2/9, 4, 7
Factor -2*p**3/5 + 8*p**2/5 + 24*p/5.
-2*p*(p - 6)*(p + 2)/5
Factor -4*k**3 + 84*k - 80.
-4*(k - 4)*(k - 1)*(k + 5)
Let 2*i**5/7 + 96*i**4/7 + 90*i**3/7 - 188*i**2/7 = 0. Calculate i.
-47, -2, 0, 1
Find v such that v**5 + 55*v**4/4 + 39*v**3/2 - 79*v**2/4 - 41*v/2 + 6 = 0.
-12, -2, -1, 1/4, 1
Let -4*p**4 - 128*p**3 - 384*p**2 + 10240*p - 25600 = 0. Calculate p.
-20, 4
Factor -2*h**2/3 - 364*h/3 - 362/3.
-2*(h + 1)*(h + 181)/3
Suppose 12*r**3 - 477*r**2 + 1212*r + 333 = 0. Calculate r.
-1/4, 3, 37
Factor -5*o**2 + 70*o + 600.
-5*(o - 20)*(o + 6)
Solve -2*a**3/13 - 10*a**2/13 + 176*a/13 - 32 = 0 for a.
-13, 4
Factor -3*m**5 + 18*m**4 - 33*m**3 + 6*m**2 + 36*m - 24.
-3*(m - 2)**3*(m - 1)*(m + 1)
Factor -r**3/12 + 17*r**2/6 - 115*r/4 + 75.
-(r - 15)**2*(r - 4)/12
Factor 3*l**4 - 15*l**3 - 3*l**2 + 15*l.
3*l*(l - 5)*(l - 1)*(l + 1)
Find q, given that q**3/3 - 6*q**2 + 27*q = 0.
0, 9
Factor 5*w**3 + 34*w**2 + 67*w + 38.
(w + 1)*(w + 2)*(5*w + 19)
Factor -5*d**4/3 - 70*d**3/3 - 40*d**2.
-5*d**2*(d + 2)*(d + 12)/3
Suppose -4*b**2 - 4*b = 0. Calculate b.
-1, 0
Let -9*b**4 - 32*b**3 - 42*b**2 - 24*b - 5 = 0. What is b?
-1, -5/9
Factor m**5/5 + 8*m**4/5 - 2*m**3 - 8*m**2/5 + 9*m/5.
m*(m - 1)**2*(m + 1)*(m + 9)/5
Let -3*b**2/2 - 273*b/2 + 423 = 0. What is b?
-94, 3
Solve 2*n**2/9 + 44*n/9 = 0.
-22, 0
Let -s**3/10 + 6*s**2/5 - 11*s/10 = 0. What is s?
0, 1, 11
Factor j**4/3 + 11*j**3.
j**3*(j + 33)/3
Factor 38*v**5/3 - 151*v**4/3 + 148*v**3/3 + 4*v**2/3.
v**2*(v - 2)**2*(38*v + 1)/3
Factor j**4 - 17*j**3 + 80*j**2 - 64*j.
j*(j - 8)**2*(j - 1)
Solve -4*v**2 - 432*v = 0 for v.
-108, 0
Let -s**5/2 + 2*s**4 + 5*s**3 - 14*s**2 + 15*s/2 = 0. What is s?
-3, 0, 1, 5
Let -p**2/5 + 39*p/5 + 82/5 = 0. Calculate p.
-2, 41
Factor 3*p**4/5 + 12*p**3 + 354*p**2/5 + 108*p + 243/5.
3*(p + 1)**2*(p + 9)**2/5
Let -2*y**4 - 10*y**3 + 86*y**2 - 134*y + 60 = 0. Calculate y.
-10, 1, 3
Determine j, given that -j**5/3 - j**4/3 + 31*j**3/3 - 11*j**2/3 - 38*j - 24 = 0.
-6, -1, 3, 4
Factor 50*w**2 + 144*w - 18.
2*(w + 3)*(25*w - 3)
Solve -2*y**3 - 170*y**2 - 1648*y - 1480 = 0.
-74, -10, -1
Factor -7*c**4/2 + 18*c**3 + 37*c**2/2 - 3*c.
-c*(c - 6)*(c + 1)*(7*c - 1)/2
Suppose 5*f**3 + 150*f**2 + 645*f + 500 = 0. What is f?
-25, -4, -1
Determine k so that k**3 + 116*k**2 + 3477*k + 6498 = 0.
-57, -2
Let -l**2/5 + 33*l/5 + 14 = 0. Calculate l.
-2, 35
What is o in -6*o**2/7 + 211*o/7 - 5 = 0?
1/6, 35
Factor -2*k**5/7 + 8*k**4 + 120*k**3/7.
-2*k**3*(k - 30)*(k + 2)/7
Suppose 4*s**5 + 4*s**4 - 12*s**3 - 20*s**2 - 8*s = 0. Calculate s.
-1, 0, 2
Determine m so that 3*m**5/5 + 12*m**4/5 = 0.
-4, 0
Factor -6*d**5/7 - 6*d**4 - 114*d**3/7 - 150*d**2/7 - 96*d/7 - 24/7.
-6*(d + 1)**3*(d + 2)**2/7
Solve 2*v**4/7 + 62*v**3/7 + 58*v**2/7 - 62*v/7 - 60/7 = 0 for v.
-30, -1, 1
Factor 2*i**4/15 - 44*i**3/3 - 446*i**2/15 - 224*i/15.
2*i*(i - 112)*(i + 1)**2/15
Solve 2*g**3/23 - 292*g**2/23 + 12408*g/23 - 121968/23 = 0 for g.
14, 66
Determine j, given that -5*j**3 - 150*j**2 - 1260*j - 3240 = 0.
-18, -6
Suppose 2*m**4 + 8*m**3/5 - 162*m**2/5 + 232*m/5 - 8 = 0. Calculate m.
-5, 1/5, 2
Suppose n**3 + 437*n**2 + 49648*n + 412164 = 0. What is n?
-214, -9
Factor -2*j**4 + 54*j**2 + 108*j.
-2*j*(j - 6)*(j + 3)**2
Find m such that 3*m**5 - 27*m**4 - 30*m**3 = 0.
-1, 0, 10
Let -3*x**2/8 - 2583*x/8 - 645/2 = 0. What is x?
-860, -1
Solve k**3 - 65*k**2/3 - 247*k/3 - 25 = 0 for k.
-3, -1/3, 25
Factor k**3 + 4*k**2 + 4*k.
k*(k + 2)**2
Suppose -6*v**2 - 33*v/2 - 9 = 0. Calculate v.
-2, -3/4
Factor -2*k**2 + 50*k.
-2*k*(k - 25)
Let -5*m**2 - 110*m + 240 = 0. What is m?
-24, 2
Let 27*i**5/2 - 195*i**4 + 254*i**3/3 - 28*i**2/3 = 0. Calculate i.
0, 2/9, 14
Factor 3*q**2/5 - 14922*q/5 - 2985.
3*(q - 4975)*(q + 1)/5
Factor -2*u**4 + 2*u**2.
-2*u**2*(u - 1)*(u + 1)
Factor n**5/3 - 2*n**4 - 7*n**3/3.
n**3*(n - 7)*(n + 1)/3
Solve 2*o**2/7 + 176*o/7 = 0 for o.
-88, 0
Factor 2*k**2/11 - 358*k/11 + 708/11.
2*(k - 177)*(k - 2)/11
Let 3*s**2/5 - 582*s/5 + 999 = 0. What is s?
9, 185
Factor x**3/4 - x**2/2 - 13*x/4 - 5/2.
(x - 5)*(x + 1)*(x + 2)/4
Find c such that c**2 - 33*c - 34 = 0.
-1, 34
Determine x so that 3*x**2 + 147*x - 306 = 0.
-51, 2
Factor -152*j**2/7 - 614*j/7 - 24/7.
-2*(j + 4)*(76*j + 3)/7
Factor c**3/5 - 396*c**2/5 + 52272*c/5 - 2299968/5.
(c - 132)**3/5
Solve -f**5/2 - 9*f**4 - 51*f**3 - 122*f**2 - 249*f/2 - 45 = 0.
-10, -3, -1
Suppose 5*u**5 - 55*u**4 + 70*u**3 + 820*u**2 - 2280*u + 1440 = 0. Calculate u.
-4, 1, 2, 6
Factor -4*a**5 - 36*a**4 - 116*a**3 - 172*a**2 - 120*a - 32.
-4*(a + 1)**3*(a + 2)*(a + 4)
Solve 2*b**2/7 - 24*b/7 - 170/7 = 0.
-5, 17
Solve h**3/2 + 27*h**2 + 53*h/2 = 0.
-53, -1, 0
Solve d**4/5 - 4*d**3/5 + 3*d**2/5 = 0 for d.
0, 1, 3
Factor -2*m**2/7 + 12*m/7.
-2*m*(m - 6)/7
Factor -a**4/2 - a**3/2 + 33*a**2/2 - 59*a/2 + 14.
-(a - 4)*(a - 1)**2*(a + 7)/2
Solve -3*y**3/2 + 21*y**2/2 - 9*y = 0 for y.
0, 1, 6
Find k, given that 5*k**3 + 95*k**2 - 100*k = 0.
-20, 0, 1
Factor y**2/3 - 238*y/3 + 14161/3.
(y - 119)**2/3
Find w, given that -2*w**3 - 94*w**2 - 406*w + 18502 = 0.
-29, 11
Determine v so that 3*v**5 + 3*v**4 - 27*v**3 - 39*v**2 + 24*v + 36 = 0.
-2, -1, 1, 3
Solve -180*l**2 + 13328*l - 592 = 0.
2/45, 74
Factor 4*f**4 + 596*f**3 - 600*f**2.
4*f**2*(f - 1)*(f + 150)
Let -i**4 - 28*i**3 - 140*i**2 - 176*i = 0. Calculate i.
-22, -4, -2, 0
What is z in -4*z**5 - 272*z**4 - 4320*z**3 + 11176*z**2 + 22820*z - 29400 = 0?
-35, -2, 1, 3
Factor 27*x**5 - 60*x**4 + 12*x**3 + 54*x**2 - 39*x + 6.
3*(x - 1)**3*(x + 1)*(9*x - 2)
Factor -c**4/3 + 3*c**3 - 7*c**2/3 - 15*c - 28/3.
-(c - 7)*(c - 4)*(c + 1)**2/3
Factor 6*n**5 - 31*n**4 + 49*n**3 - 21*n**2 - 11*n + 8.
(n - 1)**3*(2*n + 1)*(3*n - 8)
What is u in 3*u**5 - 24*u**4 - 72*u**3 + 864*u**2 - 1296*u = 0?
-6, 0, 2, 6
Factor -w**5 - w**4 + 2*w**3 + 2*w**2 - w - 1.
-(w - 1)**2*(w + 1)**3
Suppose 3*a**4/2 - 29*a**3/2 + 235*a**2/6 - 43*a/2 + 10/3 = 0. What is a?
1/3, 4, 5
Factor -2*x**4/9 + 268*x**3/3 - 800*x**2/3 + 2396*x/9 - 266/3.
-2*(x - 399)*(x - 1)**3/9
Factor 3*z**3/7 - 18*z**2/7 - 3*z/7 + 18/7.
3*(z - 6)*(z - 1)*(z + 1)/7
Factor f**2/6 + 51*f + 303/2.
(f + 3)*(f + 303)/6
Factor 2*s**4/5 + 12*s**3 + 216*s**2/5 + 208*s/5.
2*s*(s + 2)**2*(s + 26)/5
Factor g**3 + 15*g**2 + 27*g + 13.
(g + 1)**2*(g + 13)
Factor -2*z**4/13 - 48*z**3/13 + 102*z**2/13 - 4*z.
-2*z*(z - 1)**2*(z + 26)/13
Factor -4*k**4 + 87*k**3 - 62*k**2 - 21*k.
-k*(k - 21)*(k - 1)*(4*k + 1)
What is l in -2*l**4/25 + 8*l**3/5 + 192*l**2/25 = 0?
-4, 0, 24
Factor x**3/3 - 40*x**2/3 + 37*x/3 + 26.
(x - 39)*(x - 2)*(x + 1)/3
Factor 3*p**2 - 117*p.
3*p*(p - 39)
Factor 9*z**2 - 1068*z + 31684.
(3*z - 178)**2
Factor f**3/2 + 13*f**2 + 25*f/2.
f*(f + 1)*(f + 25)/2
Factor 3*n**3 + 225*n**2 - 939*n + 711.
3*(n - 3)*(n - 1)*(n + 79)
Factor 7*y**2/4 - 75*y - 43/4.
(y - 43)*(7*y + 1)/4
Determine r so that 5*r**5 + 40*r**4 + 70*r**3 - 40*r**2 - 75*r = 0.
-5, -3, -1, 0, 1
Factor 3*r**3 + 57*r**2 + 249*r +