*4 - 35*s**3 - 15*s**2 + 155*s - 100.
-5*(s - 1)**2*(s + 4)*(s + 5)
Factor z**4/6 - 5*z**3/6 + z**2.
z**2*(z - 3)*(z - 2)/6
Find p, given that 2*p**4 - 194*p**3 + 4796*p**2 - 4224*p - 9216 = 0.
-1, 2, 48
Factor f**3/3 + 370*f**2/9 + 3784*f/9 - 896/3.
(f + 12)*(f + 112)*(3*f - 2)/9
Find q, given that 5*q**2 + 2155*q - 2160 = 0.
-432, 1
Find i, given that -5*i**4/6 + 20*i**3/3 + 5*i**2/2 - 155*i/3 - 140/3 = 0.
-2, -1, 4, 7
Find r such that 3*r**4 - 51*r**3 - 492*r**2 - 324*r + 864 = 0.
-6, -2, 1, 24
Factor 2*g**3 - 134*g**2 + 1454*g + 1590.
2*(g - 53)*(g - 15)*(g + 1)
Find p such that -p**3/3 + 4*p**2/3 + p - 6 = 0.
-2, 3
What is h in 3*h**4/5 - 18*h**3/5 + 27*h**2/5 + 12*h/5 - 36/5 = 0?
-1, 2, 3
Factor -4*k**2 + 929*k - 232.
-(k - 232)*(4*k - 1)
Determine y, given that 2*y**4 + 6*y**3 - 8*y**2 - 24*y = 0.
-3, -2, 0, 2
Find f, given that 20808*f**4 - 6834*f**3 + 440*f**2 - 8*f = 0.
0, 2/51, 1/4
Factor -5*r**4 - 225*r**3 + 235*r**2 + 225*r - 230.
-5*(r - 1)**2*(r + 1)*(r + 46)
Solve 45*n**5 - 420*n**4 - 1660*n**3 + 2720*n**2 - 960*n = 0.
-4, 0, 2/3, 12
Factor 5*z**5 + 1360*z**4 + 2705*z**3 + 1350*z**2.
5*z**2*(z + 1)**2*(z + 270)
Determine d, given that 4*d**5/7 + 52*d**4/7 - 20*d**3/7 - 260*d**2/7 + 16*d/7 + 208/7 = 0.
-13, -2, -1, 1, 2
Factor -3*a**3/7 - 54*a**2/7.
-3*a**2*(a + 18)/7
Find f, given that f**5 + 4*f**4 + 2*f**3 - 4*f**2 - 3*f = 0.
-3, -1, 0, 1
Factor -3*c**4/2 + 84*c**3 + 345*c**2/2 + 87*c.
-3*c*(c - 58)*(c + 1)**2/2
Find i, given that 10*i**4 - 34*i**3 - 54*i**2 + 34*i + 44 = 0.
-1, 1, 22/5
Factor 3*y**3 - 15*y**2 - 12*y + 60.
3*(y - 5)*(y - 2)*(y + 2)
Factor -4*b**3 + 76*b**2 - 296*b + 224.
-4*(b - 14)*(b - 4)*(b - 1)
Suppose b**4/3 - 70*b**3/3 + 328*b**2/3 - 62*b - 195 = 0. What is b?
-1, 3, 65
Factor -3*i**3 + 387*i**2 - 762*i.
-3*i*(i - 127)*(i - 2)
Let -k**3/4 - 312*k**2 - 97344*k = 0. Calculate k.
-624, 0
Suppose -4*i**4/7 + 3*i**3/7 + 3*i**2 + 17*i/7 + 3/7 = 0. Calculate i.
-1, -1/4, 3
Determine a so that a**3 - 2*a**2 - 183*a - 180 = 0.
-12, -1, 15
Find q such that 3*q**5 - 3*q**4 - 114*q**3 - 54*q**2 + 1215*q + 2025 = 0.
-3, 5
Determine x so that 2*x**4/11 - 492*x**3/11 + 30746*x**2/11 - 60024*x/11 + 29768/11 = 0.
1, 122
Let -3*h**4 - 57*h**3 - 105*h**2 - 51*h = 0. Calculate h.
-17, -1, 0
Factor 16*q**3/5 + 184*q**2/5 + 109*q + 25.
(q + 5)*(4*q + 1)*(4*q + 25)/5
Find h such that 3*h**4 - 15*h**3/2 - 15*h**2/2 + 15*h/2 + 9/2 = 0.
-1, -1/2, 1, 3
Factor -4*q**2 - 12*q.
-4*q*(q + 3)
Factor -2*o**5 - 8*o**4 - 12*o**3 - 8*o**2 - 2*o.
-2*o*(o + 1)**4
Factor -2*c**4 + 44*c**3 + 312*c**2 + 656*c + 448.
-2*(c - 28)*(c + 2)**3
Factor -18*q**2 - 5277*q - 879.
-3*(q + 293)*(6*q + 1)
Solve -m**5 - 12*m**4 + 42*m**3 - 44*m**2 + 15*m = 0 for m.
-15, 0, 1
Suppose 39*j**4 + 62*j**3 - 57*j**2 - 48*j + 4 = 0. What is j?
-2, -2/3, 1/13, 1
Factor -5*z**2/2 + 255*z - 13005/2.
-5*(z - 51)**2/2
Factor 4*m**4 - 220*m**3 - 7656*m**2 - 61056*m - 93312.
4*(m - 81)*(m + 2)*(m + 12)**2
Determine c, given that -4*c**4 + 120*c**3 - 1108*c**2 + 3120*c - 2704 = 0.
2, 13
Factor 3*a**2/2 + 7*a/3 + 5/6.
(a + 1)*(9*a + 5)/6
Suppose -q**5/2 - 38*q**4 + 155*q**3/2 - 39*q**2 = 0. What is q?
-78, 0, 1
What is u in u**3/3 - 7*u**2/3 + 14*u/3 - 8/3 = 0?
1, 2, 4
Solve -2*t**5/11 + 8*t**4/11 + 28*t**3/11 - 72*t**2/11 - 90*t/11 = 0 for t.
-3, -1, 0, 3, 5
Determine w so that 2*w**2/9 + 2*w/9 = 0.
-1, 0
Solve -2*d**2/7 - 58*d/7 - 108/7 = 0.
-27, -2
Solve 4*a**3 + 2716*a**2 + 2712*a = 0 for a.
-678, -1, 0
Determine z, given that 2*z**3/5 - 8*z**2/5 - 6*z/5 + 36/5 = 0.
-2, 3
Suppose -3*k**5/4 + 9*k**4/4 + 15*k**3/4 - 9*k**2/4 - 3*k = 0. Calculate k.
-1, 0, 1, 4
Factor 2*z**3/7 + 52*z**2/7 + 80*z/7 - 384/7.
2*(z - 2)*(z + 4)*(z + 24)/7
Factor -z**2/3 + 124*z/3 + 84.
-(z - 126)*(z + 2)/3
Factor k**2/3 - 1330*k - 3991/3.
(k - 3991)*(k + 1)/3
Factor 5*p**3 + 20*p**2 - 55*p - 150.
5*(p - 3)*(p + 2)*(p + 5)
Let -3*r**3 - 1992*r**2 - 328671*r + 665334 = 0. Calculate r.
-333, 2
What is v in -3*v**2 + 744*v - 6453 = 0?
9, 239
Factor -c**3/6 - 1255*c**2/2 - 590948*c - 1770962/3.
-(c + 1)*(c + 1882)**2/6
Determine b, given that -22*b**5 + 84*b**4 - 94*b**3 + 24*b**2 + 8*b = 0.
-2/11, 0, 1, 2
What is p in -9*p**2 + 28*p - 3 = 0?
1/9, 3
Factor 2*p**2/7 - 50*p.
2*p*(p - 175)/7
Find r, given that 5*r**2 + 175*r - 180 = 0.
-36, 1
Solve 12*c**5/17 - 230*c**4/17 + 1298*c**3/17 - 798*c**2/17 - 8134*c/17 + 1372/17 = 0.
-2, 1/6, 7
Determine v, given that -2*v**3 - 200*v**2 - 5000*v = 0.
-50, 0
Let 9*r**5 + 5583*r**4 - 14939*r**3 + 8097*r**2 - 1246*r = 0. What is r?
-623, 0, 1/3, 2
What is p in 5*p**4 - 7100*p**3 + 2513385*p**2 + 5055210*p = 0?
-2, 0, 711
What is m in 6*m**4/11 - 876*m**3/11 + 3240*m**2 + 3300*m - 1724250 = 0?
-19, 55
Suppose -2*p**2 - 40*p - 38 = 0. What is p?
-19, -1
Factor -2*k**3/7 + 2*k**2/21 + 8*k/21.
-2*k*(k + 1)*(3*k - 4)/21
What is b in -5*b**3/6 - 2275*b**2/6 + 5*b/6 + 2275/6 = 0?
-455, -1, 1
Factor 195*t**2 - 680*t - 540.
5*(3*t + 2)*(13*t - 54)
Solve -2*k**2/9 - 20*k/9 + 22/9 = 0.
-11, 1
Factor -2*m**2 + 2*m.
-2*m*(m - 1)
What is u in 2*u**3/9 + 14*u**2/9 + 28*u/9 + 16/9 = 0?
-4, -2, -1
Let 3*u**2 + 945*u + 1878 = 0. Calculate u.
-313, -2
Solve -5*x**5 + 55*x**4 + 205*x**3 + 85*x**2 - 200*x - 140 = 0.
-2, -1, 1, 14
Factor -56*r**3 + 86*r**2 - 34*r + 4.
-2*(r - 1)*(4*r - 1)*(7*r - 2)
Suppose 3*y**4 - 9*y**3 - 39*y**2 + 153*y - 108 = 0. Calculate y.
-4, 1, 3
Factor -18*h**3/7 - 192*h**2/7 + 40*h - 96/7.
-2*(h + 12)*(3*h - 2)**2/7
Find x such that -44*x**2 + 120*x = 0.
0, 30/11
Let -2*i**5/15 + 2*i**4/5 + 2*i**3/15 - 14*i**2/15 + 8/15 = 0. Calculate i.
-1, 1, 2
Suppose -4*v**4/5 + 12*v**3 - 336*v**2/5 + 832*v/5 - 768/5 = 0. Calculate v.
3, 4
Factor -2*v**3/11 - 898*v**2/11.
-2*v**2*(v + 449)/11
Factor 15*g**5 - 95*g**4 + 210*g**3 - 210*g**2 + 95*g - 15.
5*(g - 3)*(g - 1)**3*(3*g - 1)
What is v in -2*v**3/19 + 10*v**2/19 + 12*v/19 = 0?
-1, 0, 6
Let -3*y**3 + 2388*y**2 + 14409*y + 21654 = 0. What is y?
-3, 802
Find i, given that -i**5 + 14*i**4 + i**3 - 14*i**2 = 0.
-1, 0, 1, 14
Solve 4*w**2 - 28*w = 0.
0, 7
Factor 2*f**4 + 2*f**3 - 26*f**2 - 50*f - 24.
2*(f - 4)*(f + 1)**2*(f + 3)
Factor -x**3 + 11*x**2 - 18*x.
-x*(x - 9)*(x - 2)
Factor 4*z**4/3 - 4*z**3/3 - 40*z**2/3 + 16*z/3 + 32.
4*(z - 3)*(z - 2)*(z + 2)**2/3
Determine n, given that -15*n**4 - 35*n**3 + 65*n**2 + 115*n + 30 = 0.
-3, -1, -1/3, 2
Find o such that o**2/7 - 65*o/7 - 66/7 = 0.
-1, 66
Determine n so that -2*n**5/3 - 1214*n**4/3 - 182396*n**3/3 + 554492*n**2/3 - 556930*n/3 + 186050/3 = 0.
-305, 1
Find z, given that 3*z**5 - 12*z**4 + 9*z**3 + 12*z**2 - 12*z = 0.
-1, 0, 1, 2
Suppose -121*p**4/8 - 803*p**3/8 + 1241*p**2/4 - 205*p/2 + 9 = 0. Calculate p.
-9, 2/11, 2
Factor -2*k**3 - 2*k**2 + 52*k - 48.
-2*(k - 4)*(k - 1)*(k + 6)
Suppose 2*r**3/9 - 26*r**2/9 + 64*r/9 - 40/9 = 0. Calculate r.
1, 2, 10
Find n such that -4*n**4 + 56*n**3 + 4*n**2 - 56*n = 0.
-1, 0, 1, 14
Factor -5*v**2/2 - 75*v/2.
-5*v*(v + 15)/2
Factor 2*r**5/9 + 10*r**4/9 + 8*r**3/9 - 32*r**2/9 - 64*r/9 - 32/9.
2*(r - 2)*(r + 1)*(r + 2)**3/9
Suppose 4*a**2 + 5048*a + 1592644 = 0. Calculate a.
-631
What is a in -a**4 + 2*a**3 + 12*a**2 + 14*a + 5 = 0?
-1, 5
Factor k**4/11 - 15*k**3/11 - 193*k**2/11 + 207*k/11.
k*(k - 23)*(k - 1)*(k + 9)/11
Factor 5*h**4 + 15*h**3 - 15*h**2 - 55*h - 30.
5*(h - 2)*(h + 1)**2*(h + 3)
Determine v so that -2*v**3 + 42*v**2 + 200*v = 0.
-4, 0, 25
Find v, given that -3*v**2/7 + 81*v/7 - 150/7 = 0.
2, 25
Solve p**3/5 + 828*p**2/5 - 3324*p/5 + 3328/5 = 0 for p.
-832, 2
Solve 3*a**5/2 - 372*a**4 + 30246*a**3 - 763560*a**2 - 3429216*a - 3556224 = 0 for a.
-2, 84
Factor -4*y**3/7 + 300*y**2/7 + 328*y/7 - 1824/7.
-4*(y - 76)*(y - 2)*(y + 3)/7
Factor -2*o**2/9 + 386*o/9 + 392/3.
-2*(o - 196)*(o + 3)/9
Let 2*q**5/23 - 8*q**4/23 - 32*q**3/23 + 212*q**2/23 - 354*q/23 + 180/23 = 0. Calculate q.
-5, 1, 2, 3
Solve 2*k**2/11 - 4638*k/11 = 0.
0, 2319
Find f such that -2*f**4/5 - 54*f**3/5 - 412*f**2/5 - 624*f/5 = 0.
-13, -12, -2, 0
Factor -k**3 - 163*k**2/5 - 244*k/5 + 124/5.
-(k + 2)*(k + 31)*(5*k - 2)/5
Factor -2*v**2/11 - 128*v/11 + 130/11.
-2*(v - 1)*(v + 65)/11
Let -2*c**5 + 28*c**3 - 24*c**2 - 26*c + 24 = 0. Calculate c.
-4, -1, 1, 3
Solve 3*q**3/8 + 309*q**2/8 - 39*q = 0 for q.
-104, 0, 1
Factor -4*y**4 + 28*y**3 - 16*y*