3*w**3 + 33*w**2 + 12*w - 180.
3*(w - 2)*(w + 3)*(w + 10)
Find x such that x**5/5 - 2*x**4/5 - 26*x**3/5 + 81*x/5 - 54/5 = 0.
-3, 1, 6
Solve -10*r**3 - 338*r**2/7 + 256*r/7 + 152/7 = 0 for r.
-38/7, -2/5, 1
Factor -2*u**3/3 + 8*u**2/3 + 160*u/3 + 128.
-2*(u - 12)*(u + 4)**2/3
Solve -3*n**4 + 54*n**3 + 72*n**2 - 294*n + 171 = 0.
-3, 1, 19
Suppose 2*c**4/19 + 2*c**3/19 - 3082*c**2/19 - 47610*c/19 = 0. Calculate c.
-23, 0, 45
Factor 5*d**4 - 20*d**3 - 5*d**2 + 20*d.
5*d*(d - 4)*(d - 1)*(d + 1)
Determine v, given that -5*v**5/3 - 2030*v**4 - 2784640*v**3/3 - 567434240*v**2/3 - 14609121280*v - 85407170560/3 = 0.
-304, -2
Factor 16*w**3/3 - 278*w**2/3 + 358*w/3 - 32.
2*(w - 16)*(w - 1)*(8*w - 3)/3
Find b, given that -2*b**2 - 2*b + 4 = 0.
-2, 1
Factor v**4/4 - 9*v**2/4.
v**2*(v - 3)*(v + 3)/4
Let -38*t**4 + 680*t**3/3 - 334*t**2 - 12*t = 0. What is t?
-2/57, 0, 3
Determine r, given that -3*r**3/4 - 63*r**2/4 - 81*r - 105 = 0.
-14, -5, -2
Suppose -d**2/3 - 98*d/3 - 2401/3 = 0. Calculate d.
-49
Factor 5*a**3 + 795*a**2 + 23760*a + 199260.
5*(a + 18)**2*(a + 123)
Factor 3*j**3 + 18*j**2 - 435*j - 450.
3*(j - 10)*(j + 1)*(j + 15)
Solve 4*g**2 + 2056*g - 8288 = 0 for g.
-518, 4
Factor y**5/5 + 38*y**4 + 9213*y**3/5 + 3572*y**2 + 8836*y/5.
y*(y + 1)**2*(y + 94)**2/5
What is y in 4*y**4 - 20*y**3 + 80*y - 64 = 0?
-2, 1, 2, 4
Suppose 5*c**4 - 25*c**3 - 30*c**2 = 0. What is c?
-1, 0, 6
Suppose -3*y**2/2 - 6654*y - 7379286 = 0. Calculate y.
-2218
What is y in 6*y**2/13 + 970*y/13 - 324/13 = 0?
-162, 1/3
Factor -j**3 + 2605*j**2 - 1697808*j + 1695204.
-(j - 1302)**2*(j - 1)
Factor 4*q**2/5 - 36/5.
4*(q - 3)*(q + 3)/5
Factor -5*i**3 - 50*i**2 + 65*i + 110.
-5*(i - 2)*(i + 1)*(i + 11)
Factor 3*c**2 + 174*c + 2496.
3*(c + 26)*(c + 32)
Factor 2*u**3 - 40*u**2 - 118*u + 660.
2*(u - 22)*(u - 3)*(u + 5)
Factor 2*n**2/3 + 6*n - 20/3.
2*(n - 1)*(n + 10)/3
Solve x**5/7 + 12*x**4/7 + 8*x**3/7 - 34*x**2/7 - 9*x/7 + 22/7 = 0 for x.
-11, -2, -1, 1
What is z in -z**3 + 2764*z**2 - 1912685*z + 3814322 = 0?
2, 1381
Find a, given that -a**4/4 + 3*a**3/4 + a**2/2 - 3*a + 2 = 0.
-2, 1, 2
Find m such that -m**4/2 - 3*m**3 - 7*m**2/2 + 3*m + 4 = 0.
-4, -2, -1, 1
Factor 5*y**3 + 15*y**2 - 45*y - 135.
5*(y - 3)*(y + 3)**2
Factor s**2/7 - 510*s/7 + 1016/7.
(s - 508)*(s - 2)/7
Let 3*n**2 + 246*n + 711 = 0. Calculate n.
-79, -3
Suppose -4*n**4 + 4*n**3 + 28*n**2 - 4*n - 24 = 0. What is n?
-2, -1, 1, 3
Factor 3*l**2/4 + 3*l/4.
3*l*(l + 1)/4
Suppose -w**5/3 + 17*w**4/3 - 15*w**3 + 43*w**2/3 - 14*w/3 = 0. What is w?
0, 1, 14
Factor -2*k**3/11 + 26*k**2/11 + 304*k/11 + 672/11.
-2*(k - 21)*(k + 4)**2/11
Factor c**3 + 24*c**2 + 144*c.
c*(c + 12)**2
Factor -5*a**3 + 60*a**2 + 140*a.
-5*a*(a - 14)*(a + 2)
Let -2*t**2/11 + 126*t/11 - 244/11 = 0. What is t?
2, 61
Factor 3*y**2 - 234*y + 888.
3*(y - 74)*(y - 4)
Let 2*q**5/11 - 16*q**4/11 + 40*q**3/11 - 20*q**2/11 - 42*q/11 + 36/11 = 0. Calculate q.
-1, 1, 2, 3
Let 28*h**3 - 44*h**2 + 16*h = 0. What is h?
0, 4/7, 1
Let k**3 + 22*k**2 + 128*k + 224 = 0. Calculate k.
-14, -4
Determine i so that -i**4/6 + i**2/6 = 0.
-1, 0, 1
Factor -5*y**4 - 740*y**3 - 25070*y**2 + 170940*y - 266805.
-5*(y - 3)**2*(y + 77)**2
Factor 4*z**2 + 100*z - 1976.
4*(z - 13)*(z + 38)
Factor -5*s**3 + 210*s**2 - 2400*s + 4000.
-5*(s - 20)**2*(s - 2)
Find n, given that -6*n**4/5 - 518*n**3/5 - 11262*n**2/5 - 3354*n/5 + 7396/5 = 0.
-43, -1, 2/3
Factor -4*f**2 - 44*f.
-4*f*(f + 11)
Factor 5*f**4 + 1305*f**3 + 83160*f**2 - 261360*f.
5*f*(f - 3)*(f + 132)**2
Factor 3*k**3 - 36*k**2 + 63*k + 294.
3*(k - 7)**2*(k + 2)
Suppose f**4/3 - 5*f**3/3 - f**2 + 17*f/3 - 10/3 = 0. Calculate f.
-2, 1, 5
Suppose 18*h**5 - 174*h**4 + 853*h**3/2 - 167*h**2 - 189*h/2 - 9 = 0. Calculate h.
-1/6, 1, 3, 6
Factor 33*z**5/2 - 69*z**4 + 18*z**3 + 228*z**2 - 240*z.
3*z*(z - 2)**3*(11*z + 20)/2
Factor -2*k**2/5 + 76*k/5 - 434/5.
-2*(k - 31)*(k - 7)/5
Factor 5*b**2 + 215*b - 450.
5*(b - 2)*(b + 45)
Find u such that u**3 - 160*u**2 = 0.
0, 160
Factor 3*y**3/4 + 15*y**2/4 - 111*y/2 + 90.
3*(y - 5)*(y - 2)*(y + 12)/4
Factor 3*q**3 + 1419*q**2 + 1416*q.
3*q*(q + 1)*(q + 472)
Solve t**3/10 - 123*t**2/10 + 5043*t/10 - 68921/10 = 0.
41
Factor -3*f**2/2 - 327*f/2.
-3*f*(f + 109)/2
Let -2*s**2/17 + 174*s/17 - 172/17 = 0. Calculate s.
1, 86
Find z such that -110*z**4/3 - 422*z**3/3 + 182*z**2/3 + 422*z/3 - 24 = 0.
-4, -1, 9/55, 1
Factor -2*i**3/5 + 10*i**2 - 48*i/5.
-2*i*(i - 24)*(i - 1)/5
Find z, given that -2*z**4/3 + 4*z**3 - 2*z**2/3 - 16*z - 32/3 = 0.
-1, 4
Determine g so that -2*g**4 - 10*g**3 + 26*g**2 - 14*g = 0.
-7, 0, 1
Let -15*w**4 + 25*w**3 + 70*w**2 - 80*w = 0. Calculate w.
-2, 0, 1, 8/3
Let 5*r**2 - 2925*r - 2930 = 0. What is r?
-1, 586
Determine y, given that -14*y**4 + 192*y**3 + 1974*y**2 + 3488*y + 840 = 0.
-5, -2, -2/7, 21
Factor 5*m**2 + 55*m + 90.
5*(m + 2)*(m + 9)
Find n, given that -2*n**3/11 - 4*n**2/11 - 2*n/11 = 0.
-1, 0
Find s, given that -s**2 + 93*s = 0.
0, 93
Factor s**4/2 - 117*s**3 + 6726*s**2 + 13924*s.
s*(s - 118)**2*(s + 2)/2
Factor -2*r**3/3 + 19*r**2/3 - 40*r/3 - 25/3.
-(r - 5)**2*(2*r + 1)/3
Factor 2*r**4/5 - 4*r**3/5 - 14*r**2/5 + 8*r - 24/5.
2*(r - 2)**2*(r - 1)*(r + 3)/5
Suppose -3*w**3 + 24*w**2 + 57*w + 30 = 0. What is w?
-1, 10
Solve z**4/6 + 9*z**3/2 - 299*z**2/6 - 225*z/2 - 175/3 = 0 for z.
-35, -1, 10
Let -6*g**2 - 69*g + 36 = 0. What is g?
-12, 1/2
Solve 5*j**2 + 295*j + 4340 = 0.
-31, -28
Factor s**2/4 + 61*s/4 + 117.
(s + 9)*(s + 52)/4
Find a such that -38*a**4/15 - 224*a**3/15 - 56*a**2/3 + 32*a/15 = 0.
-4, -2, 0, 2/19
Let 3*c**2 + 77*c + 50 = 0. What is c?
-25, -2/3
Suppose -2*r**2/3 - 14*r - 136/3 = 0. What is r?
-17, -4
Factor -3*s**2 - 606*s - 1200.
-3*(s + 2)*(s + 200)
Factor 8*t**4 + 172*t**3 + 1164*t**2 + 2484*t + 972.
4*(t + 3)*(t + 9)**2*(2*t + 1)
Determine x, given that 6*x**2/5 - 44*x/5 + 14/5 = 0.
1/3, 7
Factor -5*n**2 + 10*n + 75.
-5*(n - 5)*(n + 3)
Factor -6*a**3 + 104*a**2 - 30*a - 68.
-2*(a - 17)*(a - 1)*(3*a + 2)
Solve k**2 - 1 = 0.
-1, 1
Suppose -f**3/3 - 39*f**2 - 560*f - 6464/3 = 0. What is f?
-101, -8
Factor -m**4/6 + 14*m**3/3 - 61*m**2/3 + 82*m/3 - 23/2.
-(m - 23)*(m - 3)*(m - 1)**2/6
Factor 14*h**3 - 22*h**2 - 20*h + 16.
2*(h - 2)*(h + 1)*(7*h - 4)
Factor -y**3/9 + y**2/3 - 2*y/9.
-y*(y - 2)*(y - 1)/9
Factor -5*c**2 - 60*c - 160.
-5*(c + 4)*(c + 8)
Factor 490*v**4 - 406*v**3 + 213*v**2/2 - 9*v.
v*(5*v - 2)*(14*v - 3)**2/2
Factor 3*o**4 + 116*o**3 + 187*o**2 + 74*o.
o*(o + 1)*(o + 37)*(3*o + 2)
Factor -3*i**2 - 1326*i - 1323.
-3*(i + 1)*(i + 441)
Let -u**5/2 - 7*u**4/3 - 2*u**3/3 + 5*u**2 - 3*u/2 = 0. Calculate u.
-3, 0, 1/3, 1
What is q in 2*q**5/7 - 176*q**4/7 + 6194*q**3/7 - 108972*q**2/7 + 958392*q/7 - 3370896/7 = 0?
17, 18
Factor -v**4/2 + 3*v**3 + 48*v**2 + 112*v.
-v*(v - 14)*(v + 4)**2/2
Determine s so that -81*s**5 - 2556*s**4 + 1229*s**3 + 2428*s**2 - 1148*s + 128 = 0.
-32, -1, 2/9, 1
Factor -d**3/3 - 211*d**2 - 33285*d + 100489/3.
-(d - 1)*(d + 317)**2/3
Find l such that -4*l**2 - 284*l - 280 = 0.
-70, -1
Solve -5*m**4 + 40*m**3 - 115*m**2 + 140*m - 60 = 0.
1, 2, 3
Let -u**5/2 + 13*u**4/2 + 7*u**3 = 0. What is u?
-1, 0, 14
Factor -v**2/9 + 2*v/9 + 16/3.
-(v - 8)*(v + 6)/9
Factor 2*s**3/11 - 2*s**2 + 48*s/11.
2*s*(s - 8)*(s - 3)/11
Factor 5*x**5 + 90*x**4 + 305*x**3 - 900*x**2 + 500*x.
5*x*(x - 1)**2*(x + 10)**2
Solve 2*d**5/7 - 74*d**4/7 + 276*d**3/7 - 404*d**2/7 + 38*d - 66/7 = 0.
1, 33
Determine n so that n**5/8 - 3*n**4/4 + n**3/8 + 3*n**2 - 5*n/2 = 0.
-2, 0, 1, 2, 5
Let 10*q**2 - 668*q - 134 = 0. Calculate q.
-1/5, 67
Factor 2*k**5 - 8*k**4 + 8*k**3 + 4*k**2 - 10*k + 4.
2*(k - 2)*(k - 1)**3*(k + 1)
Factor -2*w**3/11 - 204*w**2/11 + 414*w/11 - 208/11.
-2*(w - 1)**2*(w + 104)/11
Factor o**2 + 30*o + 144.
(o + 6)*(o + 24)
Find k, given that 2*k**4/7 - 16*k**3/7 - 362*k**2/7 + 16*k/7 + 360/7 = 0.
-10, -1, 1, 18
Factor 3*i**2 - 66*i + 63.
3*(i - 21)*(i - 1)
Factor -3*q**3 - 7*q**2 + 18*q - 8.
-(q - 1)*(q + 4)*(3*q - 2)
Factor -4*d**3 - 1172*d**2 + 4736*d - 4752.
-4*(d - 2)**2*(d + 297)
Solve 2*c**2/9 - 268*c/9 + 1040/9 = 0 for c.
4, 130
Factor -10*b**2/11 - 356*b/11 + 144/11.
-2*(b + 36)*(5*b - 2)/11
Find b such that 5*b**4 - 90*b**3 + 85*b**2 = 0.
0, 1, 17
Factor -7*s**3 + 9*s**2 + 3*s - 5.
-(s - 1)**2*(7*s + 5)
Factor -t**5/7 + 