**3/4 + 3*n**2/4 + 45*n/4 = 0 for n.
-15, -1, 0, 1
Determine v so that -2*v**5/5 - 2*v**4 - 18*v**3/5 - 14*v**2/5 - 4*v/5 = 0.
-2, -1, 0
What is g in -4*g**2/5 - 344*g - 36980 = 0?
-215
Factor 30*l**4 + 93*l**3 + 9*l**2.
3*l**2*(l + 3)*(10*l + 1)
Factor j**3/3 + 40*j**2 + 119*j/3.
j*(j + 1)*(j + 119)/3
Factor 57*a**4 + 169*a**3 - 6*a**2 - 228*a + 8.
(a - 1)*(a + 2)**2*(57*a - 2)
Factor -4*h**4/7 + 12*h**2/7 - 8*h/7.
-4*h*(h - 1)**2*(h + 2)/7
Factor 21*r**3 - 9*r**2 - 21*r + 9.
3*(r - 1)*(r + 1)*(7*r - 3)
Solve 2*j**2/5 - 2/5 = 0.
-1, 1
Factor -y**2/7 + 3316*y/7 - 2748964/7.
-(y - 1658)**2/7
Find p such that p**3/4 + 21*p**2/4 - 157*p/4 + 135/4 = 0.
-27, 1, 5
Factor -i**2 + 423*i - 1260.
-(i - 420)*(i - 3)
Factor b**3/4 + 5*b**2/4 - 29*b/2 + 22.
(b - 4)*(b - 2)*(b + 11)/4
Determine c so that 171*c**4 - 63*c**3 - 682*c**2 + 252*c - 8 = 0.
-2, 2/57, 1/3, 2
Find x such that 5*x**4 - 36*x**3 + 36*x**2 = 0.
0, 6/5, 6
Factor 60*n**3 - 1192*n**2 - 160*n.
4*n*(n - 20)*(15*n + 2)
Factor -36*c**4 - 528*c**3 - 1552*c**2 + 2816*c - 1024.
-4*(c + 8)**2*(3*c - 2)**2
Factor p**2/3 + 144*p.
p*(p + 432)/3
Determine i, given that -9*i**4 + 29*i**3 + 75*i**2 + 27*i - 10 = 0.
-1, 2/9, 5
Factor -3*n**3 + 103*n**2 - 313*n + 93.
-(n - 31)*(n - 3)*(3*n - 1)
Factor -f**2/5 - 32*f/5 - 31/5.
-(f + 1)*(f + 31)/5
Factor -d**4/3 - 109*d**3/3 - 1295*d**2 - 42439*d/3 + 101306/3.
-(d - 2)*(d + 37)**3/3
What is d in 343*d**5/11 - 4067*d**4/11 - 14910*d**3/11 - 18250*d**2/11 - 875*d - 1875/11 = 0?
-1, -5/7, 15
Find c, given that -22*c**5/21 + 4*c**4/7 + 44*c**3/21 - 8*c**2/7 - 22*c/21 + 4/7 = 0.
-1, 6/11, 1
Suppose 15*g**5 - 51*g**4 - 27*g**3 + 123*g**2 + 48*g - 36 = 0. Calculate g.
-1, 2/5, 2, 3
Solve 5*u**4 - 70*u**3 + 240*u**2 + 70*u - 245 = 0.
-1, 1, 7
Determine o so that -o**2/5 - 17*o/5 = 0.
-17, 0
Factor -5*m**5 - 450*m**4 - 10565*m**3 - 19800*m**2 - 9680*m.
-5*m*(m + 1)**2*(m + 44)**2
Solve 5*v**3 - 290*v**2 + 275*v + 570 = 0.
-1, 2, 57
Factor -u**4 + u**3 + 38*u**2 - 288.
-(u - 6)*(u - 3)*(u + 4)**2
What is t in 4*t**2/3 - 4*t + 8/3 = 0?
1, 2
Factor 15*l**3 - 171*l**2 + 336*l - 108.
3*(l - 9)*(l - 2)*(5*l - 2)
Suppose 2*q**5/3 - 2*q**3 - 4*q**2/3 = 0. Calculate q.
-1, 0, 2
Suppose -5*q**5 + 1175*q**4 - 110450*q**3 + 5191150*q**2 - 121992025*q + 1146725035 = 0. What is q?
47
Find s, given that 3*s**3/5 + 333*s**2 - 3339*s/5 + 1671/5 = 0.
-557, 1
Factor -3*u**5 - 18*u**4 + 165*u**3.
-3*u**3*(u - 5)*(u + 11)
Factor -2*v**2/13 - 80*v/13 + 82/13.
-2*(v - 1)*(v + 41)/13
Factor 2*z**4 + 218*z**3 + 6048*z**2 + 5832*z.
2*z*(z + 1)*(z + 54)**2
Factor 4*c**3/3 - 8*c**2/3 - 4*c.
4*c*(c - 3)*(c + 1)/3
Suppose 4*k**5/7 - 20*k**4/7 + 4*k**3/7 + 68*k**2/7 - 88*k/7 + 32/7 = 0. What is k?
-2, 1, 4
Factor 16*m**3 + 88*m**2/5 + 28*m/5 + 2/5.
2*(2*m + 1)**2*(10*m + 1)/5
Find c, given that -c**4 - 3*c**3 - c**2 + 3*c + 2 = 0.
-2, -1, 1
Factor -39*u**2 + 357*u - 54.
-3*(u - 9)*(13*u - 2)
Let -2*r**2/5 + 14*r - 68/5 = 0. Calculate r.
1, 34
Factor -p**3/2 - 3*p**2 - 3*p/2 + 5.
-(p - 1)*(p + 2)*(p + 5)/2
Let 2*q**2/3 + 26*q + 76/3 = 0. Calculate q.
-38, -1
Factor -s**3 + 108*s**2 + 937*s - 1044.
-(s - 116)*(s - 1)*(s + 9)
Factor q**3/9 + 2*q**2/3 - 16*q + 256/9.
(q - 8)*(q - 2)*(q + 16)/9
Let -2*u**2/3 - 1616*u/3 - 326432/3 = 0. What is u?
-404
Determine b, given that 5*b**3 + 325*b**2 + 635*b + 315 = 0.
-63, -1
Factor 7*o**3/4 - 4*o**2 + o.
o*(o - 2)*(7*o - 2)/4
Solve 61*x**2/3 - 119*x/3 - 2 = 0.
-3/61, 2
Suppose -291*m**2 + 885*m - 36 = 0. What is m?
4/97, 3
Solve 3*c**3 + 177*c**2 + 297*c - 2565 = 0.
-57, -5, 3
Suppose -3*t**3 + 29*t**2 + 44*t = 0. Calculate t.
-4/3, 0, 11
Factor -k**3/2 - 2*k**2 - 3*k/2.
-k*(k + 1)*(k + 3)/2
Factor -3*y**4 - 42*y**3 - 99*y**2 + 12*y + 132.
-3*(y - 1)*(y + 2)**2*(y + 11)
Factor -2*g**3 + 64*g**2 - 62*g.
-2*g*(g - 31)*(g - 1)
Suppose -i**3/5 - 9*i**2/5 + 2*i = 0. Calculate i.
-10, 0, 1
What is z in z**3/6 + 136*z**2 = 0?
-816, 0
What is g in 35*g**5 + 220*g**4 - 780*g**3 + 670*g**2 - 55*g - 90 = 0?
-9, -2/7, 1
Factor -3*x**3/2 + 276*x**2 - 12696*x.
-3*x*(x - 92)**2/2
Solve 24*m**4/11 - 94*m**3/11 - 602*m**2/11 + 604*m/11 - 112/11 = 0.
-4, 1/4, 2/3, 7
Let 2*b**4 + 12*b**3 - 2*b**2 - 12*b = 0. Calculate b.
-6, -1, 0, 1
Solve -16*h**4 - 1696*h**3 + 12*h**2 + 1268*h - 424 = 0.
-106, -1, 1/2
Factor 3*k**2/8 + 2853*k/8.
3*k*(k + 951)/8
Find m such that 4*m**3 - 16*m**2 - 116*m - 96 = 0.
-3, -1, 8
Factor -4*j**4 + 60*j**3 + 372*j**2 + 548*j + 240.
-4*(j - 20)*(j + 1)**2*(j + 3)
Solve u**5/12 + u**4/6 - 5*u**3/6 - 2*u**2/3 + 11*u/4 - 3/2 = 0 for u.
-3, 1, 2
Factor -6*j**4/5 - j**3 + 6*j**2/5 + j.
-j*(j - 1)*(j + 1)*(6*j + 5)/5
Factor 8*l**4/5 + 792*l**3/5 + 19202*l**2/5 - 3960*l + 1000.
2*(l + 50)**2*(2*l - 1)**2/5
Let x**4/7 + 29*x**3/7 + 213*x**2/7 + 243*x/7 - 486/7 = 0. Calculate x.
-18, -9, -3, 1
Determine m, given that -4*m**5 + 64*m**4 - 184*m**3 - 576*m**2 - 324*m = 0.
-1, 0, 9
Suppose -2*l**4 - 26*l**3 - 92*l**2 - 24*l + 144 = 0. Calculate l.
-6, -2, 1
Suppose -2*z**2 + 14*z - 12 = 0. Calculate z.
1, 6
Factor -4*i**3/7 + 5820*i**2/7 - 2822700*i/7 + 456336500/7.
-4*(i - 485)**3/7
Factor b**3/4 - 11*b**2/4 - 95*b/2 + 50.
(b - 20)*(b - 1)*(b + 10)/4
Find r such that 12*r**5 + 64*r**4 + 36*r**3 - 128*r**2 - 48*r + 64 = 0.
-4, -2, -1, 2/3, 1
Factor 4*u**3/9 + 32*u**2/9 - 76*u/9 + 40/9.
4*(u - 1)**2*(u + 10)/9
Find n, given that 2*n**5/3 - 64*n**4/3 + 116*n**3 + 64*n**2/3 - 350*n/3 = 0.
-1, 0, 1, 7, 25
Suppose -3*p**5 + 33*p**4 - 27*p**3 - 357*p**2 - 294*p = 0. Calculate p.
-2, -1, 0, 7
Factor 2*r**3 + 24*r**2 + 70*r.
2*r*(r + 5)*(r + 7)
Factor 4*i**4 - 32*i**3 + 92*i**2 - 112*i + 48.
4*(i - 3)*(i - 2)**2*(i - 1)
Factor -4*z**4 + 364*z**3 + 4*z**2 - 364*z.
-4*z*(z - 91)*(z - 1)*(z + 1)
Determine m, given that 3*m**3 + 480*m**2 = 0.
-160, 0
Factor -39*k**2/4 - 123*k + 189.
-3*(k + 14)*(13*k - 18)/4
Factor -826*a**2/13 + 2482*a/13 - 12/13.
-2*(a - 3)*(413*a - 2)/13
Let -28*l**4 + 7904*l**3 - 17936*l**2 + 4480*l = 0. What is l?
0, 2/7, 2, 280
Factor -p**4 + 59*p**3 - 170*p**2 + 112*p.
-p*(p - 56)*(p - 2)*(p - 1)
Factor -i**3/4 - 17*i**2/2 - 16*i.
-i*(i + 2)*(i + 32)/4
Factor -52*h**2/5 - 64*h/5 - 12/5.
-4*(h + 1)*(13*h + 3)/5
Let -3*d**4/5 - 3*d**3/5 + 69*d**2/5 - 117*d/5 + 54/5 = 0. Calculate d.
-6, 1, 3
Find m such that -m**2 + 8*m = 0.
0, 8
Determine o, given that 2*o**3 - 1168*o**2 + 2328*o = 0.
0, 2, 582
Solve -a**3 + 12*a**2 - 9*a - 22 = 0 for a.
-1, 2, 11
Let -p**4/2 + 57*p**3/2 - 470*p**2 + 1794*p - 1352 = 0. Calculate p.
1, 4, 26
Factor -5*i**3 - 5255*i**2 + 5270*i + 10520.
-5*(i - 2)*(i + 1)*(i + 1052)
Factor -2*i**3 - 7404*i**2 - 6852402*i.
-2*i*(i + 1851)**2
Find s such that -2*s**5/7 + 20*s**4/7 - 30*s**3/7 - 20*s**2/7 + 32*s/7 = 0.
-1, 0, 1, 2, 8
Suppose 3*o**5 + 24*o**4 + 72*o**3 + 96*o**2 + 48*o = 0. What is o?
-2, 0
Solve 3*o**5/2 + 30*o**4 + 237*o**3/2 + 90*o**2 = 0.
-15, -4, -1, 0
Factor 3*u**2 - 63*u + 60.
3*(u - 20)*(u - 1)
Solve -u**4/5 + u**3 - u**2/5 - 21*u/5 + 18/5 = 0.
-2, 1, 3
Factor 3*c**2 + 102*c + 867.
3*(c + 17)**2
Factor 4*m**4 + 40*m**3 - 288*m**2 + 216*m + 540.
4*(m - 3)**2*(m + 1)*(m + 15)
Let -16*w**2 - 116*w - 28 = 0. Calculate w.
-7, -1/4
Let -2*l**2/3 - 22*l + 68/3 = 0. Calculate l.
-34, 1
Factor -i**2/3 + 850*i/3 + 851/3.
-(i - 851)*(i + 1)/3
Factor -4*d**2 - 4*d + 80.
-4*(d - 4)*(d + 5)
Factor 5*l**3 + 480*l**2 - 1475*l + 990.
5*(l - 2)*(l - 1)*(l + 99)
Determine g so that g**3 + 149*g**2 + 867*g + 1287 = 0.
-143, -3
Let -20*h**4 + 425*h**3 - 2265*h**2 + 540*h = 0. What is h?
0, 1/4, 9, 12
Find x such that -4*x**2 + 132*x - 864 = 0.
9, 24
Let 2*w**4/9 + 26*w**3/9 + 94*w**2/9 + 118*w/9 + 16/3 = 0. What is w?
-8, -3, -1
Factor -5*j**3 + 35*j**2.
-5*j**2*(j - 7)
Factor -5*o**2 + 1300*o - 84500.
-5*(o - 130)**2
Suppose b**2/4 + 1199*b/2 + 1437601/4 = 0. What is b?
-1199
Let 2*r**5/9 - 4*r**4/9 - 638*r**3/9 - 3560*r**2/9 + 1400*r/3 = 0. Calculate r.
-10, 0, 1, 21
Factor -2*j**2/3 - 496*j/3 + 166.
-2*(j - 1)*(j + 249)/3
Factor -d**4/8 - 19*d**3/8 + 21*d**2/4.
-d**2*(d - 2)*(d + 21)/8
Let -2*j**3/7 + 128*j**2/7 - 18*j = 0. Calculate j.
0, 1, 63
Let 245*j**5 - 13615*j**4 + 81710*j**3 - 139420*j**2 + 60920*j - 7840 = 0. Calculate j.
2/7, 2, 4, 49
Factor y**3/2 - 173*y**2/2 + 85*y + 172.
(y - 172)*(y - 2)*(y + 1)/2
Factor -z**3/5 + 1