 3*c**4/5 + c**3/5 - 26*c**2/5 - 4*c + 24/5.
(c - 3)*(c + 2)**2*(3*c - 2)/5
Factor 2*g**5/9 - 10*g**4/9 + 2*g**3 - 14*g**2/9 + 4*g/9.
2*g*(g - 2)*(g - 1)**3/9
Factor -j**2 - 120*j - 3600.
-(j + 60)**2
Factor -3*b**5 - 18*b**4 - 6*b**3 + 60*b**2 + 81*b + 30.
-3*(b - 2)*(b + 1)**3*(b + 5)
Solve m**4/2 + 47*m**3 + 1190*m**2 + 3825*m - 10125/2 = 0.
-45, -5, 1
Factor 5*h**3 - 140*h**2 + 500*h - 480.
5*(h - 24)*(h - 2)**2
What is h in -2*h**3/11 + 208*h**2/11 + 210*h/11 = 0?
-1, 0, 105
Determine u, given that 3*u**5 + 25*u**4/3 - 8*u**3 - 104*u**2/3 - 16*u + 16/3 = 0.
-2, -1, 2/9, 2
Factor -2*f**2 - 206*f.
-2*f*(f + 103)
Find i, given that -63*i**5/2 + 123*i**4/2 + 327*i**3/2 - 375*i**2/2 - 24*i + 18 = 0.
-2, -1/3, 2/7, 1, 3
Factor 2*v**3/3 - 44*v**2/3 + 134*v/3 + 60.
2*(v - 18)*(v - 5)*(v + 1)/3
What is d in 4*d**4 + 3632*d**3 + 1098072*d**2 + 110170800*d - 111272508 = 0?
-303, 1
Find s, given that 3*s**3 + 102*s**2 - 741*s - 840 = 0.
-40, -1, 7
What is m in m**4/4 - 7*m**3/4 - 3*m**2/4 + 23*m/4 - 7/2 = 0?
-2, 1, 7
Factor 4*r**4 + 36*r**3 - 144*r**2 + 16*r + 192.
4*(r - 2)**2*(r + 1)*(r + 12)
Find w such that w**2/8 - 7*w/4 + 5 = 0.
4, 10
Factor -4*z**3 - 52*z**2 - 160*z.
-4*z*(z + 5)*(z + 8)
Factor 2*f**3/3 + 4*f**2/3 - 10*f.
2*f*(f - 3)*(f + 5)/3
Factor 3*l**2/5 - 2322*l/5 + 449307/5.
3*(l - 387)**2/5
Factor 4*a**3/7 - 10*a**2/7 - 2*a/7 + 12/7.
2*(a - 2)*(a + 1)*(2*a - 3)/7
Let -3*t**4/5 - 582*t**3/5 + 1176*t**2/5 = 0. What is t?
-196, 0, 2
Factor -25*s**2/6 + s/3.
-s*(25*s - 2)/6
Find a such that 2*a**3 - 16*a**2 - 122*a - 104 = 0.
-4, -1, 13
Factor 1114*j**2/5 + 2232*j/5 + 8/5.
2*(j + 2)*(557*j + 2)/5
Factor -5*c**3/4 - 15*c**2/2 + 40.
-5*(c - 2)*(c + 4)**2/4
Determine o, given that 2*o**5/9 - 28*o**4/9 - 62*o**3/9 - 32*o**2/9 = 0.
-1, 0, 16
Factor -4*q**3 + 32*q**2 - 60*q.
-4*q*(q - 5)*(q - 3)
Factor 7*y**5/8 + 5*y**4 + 9*y**3 + 23*y**2/4 + y/8 - 3/4.
(y + 1)**3*(y + 3)*(7*y - 2)/8
Determine d so that 4*d**3 + 50*d**2 - 732*d - 378 = 0.
-21, -1/2, 9
Suppose -3*l**3 + 18*l**2 + 21*l - 180 = 0. Calculate l.
-3, 4, 5
Find h such that 4*h**2 - 408*h + 10404 = 0.
51
Find y such that 5*y**3 - 5*y**2 = 0.
0, 1
Let 3*d**3 + 33*d**2 + 30*d = 0. Calculate d.
-10, -1, 0
Determine f so that -3*f**3/5 - 257*f**2/5 - 668*f/5 - 332/5 = 0.
-83, -2, -2/3
Solve l**2/5 + 19*l/5 = 0.
-19, 0
Solve 2*r**5/9 - 8*r**4/9 - 2*r**3/3 + 44*r**2/9 - 8*r/9 - 16/3 = 0 for r.
-2, -1, 2, 3
Determine w so that -2*w**2/23 + 58*w/23 + 1204/23 = 0.
-14, 43
Factor -3*s**2/5 - 561*s/5 + 1134/5.
-3*(s - 2)*(s + 189)/5
Determine c so that -3*c**4 + 27*c**3 - 63*c**2 + 57*c - 18 = 0.
1, 6
Find z such that -2*z**2/3 + 496*z - 92256 = 0.
372
Determine q, given that -2*q**2/9 - 40*q/3 + 522 = 0.
-87, 27
Factor 5*d**5 - 45*d**4 + 115*d**3 - 75*d**2.
5*d**2*(d - 5)*(d - 3)*(d - 1)
Solve 2*o**3/11 - 188*o**2/11 - 190*o/11 = 0.
-1, 0, 95
Factor c**5/7 - 34*c**4/7 + 65*c**3/7 - 32*c**2/7.
c**2*(c - 32)*(c - 1)**2/7
Factor -2*v**3/3 - 52*v**2/3 - 280*v/3 + 784/3.
-2*(v - 2)*(v + 14)**2/3
Factor -73167*l**4/7 + 30276*l**3 + 22446*l**2/7 + 780*l/7 + 9/7.
-3*(l - 3)*(29*l + 1)**3/7
Factor -3*z**5 - 3*z**4 + 6*z**3 + 6*z**2 - 3*z - 3.
-3*(z - 1)**2*(z + 1)**3
Factor -i**5 + 9*i**4 + 8*i**3 - 72*i**2 - 16*i + 144.
-(i - 9)*(i - 2)**2*(i + 2)**2
Factor 30*i**2 + 4984*i + 664.
2*(i + 166)*(15*i + 2)
Factor n**3/3 + 2*n**2/3 - 11*n/3 - 4.
(n - 3)*(n + 1)*(n + 4)/3
Factor -2*z**2 - 15596*z - 30404402.
-2*(z + 3899)**2
Factor -4*n**4 + 16*n**3 + 4*n**2 - 16*n.
-4*n*(n - 4)*(n - 1)*(n + 1)
Factor 3*l**2/8 - 57*l/8 - 99/4.
3*(l - 22)*(l + 3)/8
Determine h so that h**4/9 - 3*h**3 + 31*h**2/3 - 17*h/9 - 46/3 = 0.
-1, 2, 3, 23
Factor -c**4/6 + c**3/2 - c**2/6 - c/2 + 1/3.
-(c - 2)*(c - 1)**2*(c + 1)/6
Suppose -c**5/4 + 2*c**4 - c**3/4 - 23*c**2/2 + 5*c + 14 = 0. Calculate c.
-2, -1, 2, 7
Determine v, given that -5*v**2 + 11370*v - 6463845 = 0.
1137
Solve -i**5/4 - 77*i**4/4 - 416*i**3 - 1765*i**2 - 2664*i - 1296 = 0.
-36, -2, -1
Factor 2*y**3/3 + 74*y**2/3 + 208*y/3 + 136/3.
2*(y + 1)*(y + 2)*(y + 34)/3
Factor -7*c**5/8 - 11*c**4/2 - 12*c**3 - 10*c**2 - 2*c.
-c*(c + 2)**3*(7*c + 2)/8
Factor -2*v**3/5 + 12*v**2/5 + 2*v/5 - 12/5.
-2*(v - 6)*(v - 1)*(v + 1)/5
Find v such that -3*v**3 + 10233*v**2 - 11634921*v + 4409635059 = 0.
1137
Factor -3*a**3 - 636*a**2 - 34335*a - 66150.
-3*(a + 2)*(a + 105)**2
Determine a so that a**2/6 - 19*a/3 + 361/6 = 0.
19
Factor 3*w**4/5 - 114*w**3/5 + 219*w**2/5 - 108*w/5.
3*w*(w - 36)*(w - 1)**2/5
Suppose -5*j**3 - 10*j**2 + 125*j + 250 = 0. What is j?
-5, -2, 5
Let g**2 - 4*g - 221 = 0. Calculate g.
-13, 17
Factor o**2/2 + 705*o/2 + 1402.
(o + 4)*(o + 701)/2
Factor 5*p**4 + 45*p**3 + 145*p**2 + 195*p + 90.
5*(p + 1)*(p + 2)*(p + 3)**2
Determine a so that 2*a**2 + 16400*a + 33620000 = 0.
-4100
Factor -49*r**3 + 854*r**2 + 500*r + 72.
-(r - 18)*(7*r + 2)**2
Determine p so that -4*p**3/7 + 130*p**2/7 + 68*p/7 - 66/7 = 0.
-1, 1/2, 33
Factor -o**2/2 + 656*o + 1314.
-(o - 1314)*(o + 2)/2
Factor s**2/4 - 19*s/2.
s*(s - 38)/4
Factor -5*s**2/3 - 10*s + 45.
-5*(s - 3)*(s + 9)/3
Let 4*l**3 - 12196*l**2 + 9302496*l - 9290304 = 0. Calculate l.
1, 1524
Solve 4*b**5 - 12*b**4 - 28*b**3 + 28*b**2 + 72*b + 32 = 0.
-1, 2, 4
Determine r so that 5*r**5 + 20*r**4 - 65*r**3 - 200*r**2 + 240*r = 0.
-4, 0, 1, 3
Solve -v**4 + 23*v**3 + 3*v**2 - 71*v + 46 = 0 for v.
-2, 1, 23
Solve 2*o**2/7 - 22*o/7 + 36/7 = 0 for o.
2, 9
What is l in -2*l**2/5 + 204*l/5 - 594/5 = 0?
3, 99
Factor 2*p**5 + 14*p**4 + 38*p**3 + 50*p**2 + 32*p + 8.
2*(p + 1)**3*(p + 2)**2
Suppose -103680*t**4 + 241920*t**3 - 211680*t**2 + 82320*t - 12005 = 0. What is t?
7/12
Factor -u**3/5 - 4*u**2/5 + 3*u/5 + 18/5.
-(u - 2)*(u + 3)**2/5
What is p in -14*p**4 + 206*p**3/5 + 292*p**2/5 + 16*p/5 = 0?
-1, -2/35, 0, 4
What is a in -2*a**4/5 + 64*a**3/5 - 316*a**2/5 - 832*a/5 - 90 = 0?
-1, 9, 25
Let -2*p**5/9 + 4*p**4/9 + 2*p**3/9 - 4*p**2/9 = 0. Calculate p.
-1, 0, 1, 2
Solve -12*g**4 + 28*g**3 + 148*g**2 + 68*g - 40 = 0 for g.
-2, -1, 1/3, 5
Factor 2*v**3/13 + 108*v**2/13 + 106*v/13.
2*v*(v + 1)*(v + 53)/13
Factor i**4 + 7*i**3 + 8*i**2 - 16*i.
i*(i - 1)*(i + 4)**2
Factor 4*c**5 + 8*c**4 - 80*c**3 - 264*c**2 - 180*c.
4*c*(c - 5)*(c + 1)*(c + 3)**2
Factor 4*a**4 + 12*a**3 + 4*a**2 - 12*a - 8.
4*(a - 1)*(a + 1)**2*(a + 2)
Suppose -45*b**5 - 305*b**4 - 470*b**3 + 120*b**2 = 0. Calculate b.
-4, -3, 0, 2/9
Find v, given that 3*v**2 - 282*v + 6627 = 0.
47
Factor -g**5/6 - 20*g**4/3 + 96*g**3 - 1216*g**2/3 + 1664*g/3.
-g*(g - 4)**3*(g + 52)/6
Let -2*s**5 - 24*s**4 - 42*s**3 + 124*s**2 + 144*s = 0. What is s?
-9, -4, -1, 0, 2
Solve -2*h**2 - 10*h = 0 for h.
-5, 0
Determine c so that -3*c**5/10 - 11*c**4/10 - c**3/2 + 3*c**2/2 + 4*c/5 - 2/5 = 0.
-2, -1, 1/3, 1
Suppose 2*l**4/15 + 4*l**3/15 - 14*l**2/15 - 16*l/15 + 8/5 = 0. Calculate l.
-3, -2, 1, 2
Factor 3*a**4 + 6*a**3 - 9*a**2 - 24*a - 12.
3*(a - 2)*(a + 1)**2*(a + 2)
Find u such that 2*u**5 - 62*u**3 - 212*u**2 - 264*u - 112 = 0.
-2, -1, 7
Factor 12*f**2/5 + 74*f/5 + 12/5.
2*(f + 6)*(6*f + 1)/5
Suppose -34*b**3 - 1356*b**2 - 13440*b + 1600 = 0. What is b?
-20, 2/17
Factor s**4/6 - 14*s**3/3 + 9*s**2/2 + 486*s - 486.
(s - 18)**2*(s - 1)*(s + 9)/6
Suppose 3*o**5/5 + 9*o**4 + 117*o**3/5 + 111*o**2/5 + 36*o/5 = 0. Calculate o.
-12, -1, 0
Let -m**3 + 430*m**2 - 46225*m = 0. What is m?
0, 215
What is g in -9*g**4/7 + 21*g**3 - 24*g**2 - 180*g/7 = 0?
-2/3, 0, 2, 15
Solve k**2/4 - 39*k + 1521 = 0.
78
Factor 5*y**5 + 7*y**4 - 3*y**3 - 7*y**2 - 2*y.
y*(y - 1)*(y + 1)**2*(5*y + 2)
What is h in -h**3/4 + 27*h**2/4 + 7*h = 0?
-1, 0, 28
Factor -p**4 + p**3 + 4*p**2 - 4*p.
-p*(p - 2)*(p - 1)*(p + 2)
Factor t**4/6 + 59*t**3/3 + 229*t**2/6 - 58*t.
t*(t - 1)*(t + 3)*(t + 116)/6
Suppose -4*p**4/5 + 1512*p**3/5 + 13872*p**2/5 + 4664*p - 7740 = 0. What is p?
-5, 1, 387
Factor w**2/2 + 57*w + 113/2.
(w + 1)*(w + 113)/2
Factor y**3 - 36*y**2/5 + 64*y/5.
y*(y - 4)*(5*y - 16)/5
Factor 7*z**4 + 5*z**3 - 37*z**2 + 31*z - 6.
(z - 1)**2*(z + 3)*(7*z - 2)
Factor -2*w**3 - 36*w**2 + 222*w - 184.
-2*(w - 4)*(w - 1)*(w + 23)
Factor -3*v**2/7 + 333*v.
-3*v*(v - 777)/7
Suppose i**4 - 24*i**3 + 109*i**2 + 546*i - 1352 = 0. Calculate i.
-4, 2, 13
Factor -340*a**3/9 + 674*a**2/9 - 328*a/9 - 2/3.
-2*(a - 1)**2*(170*a + 3)/9
Suppose s