+ 3*b**2 + 10*b.
-b*(b - 5)*(b + 2)
Solve n**4/5 - n**3 - 66*n**2/5 + 468*n/5 - 648/5 = 0 for n.
-9, 2, 6
Solve l**4/10 + 3*l**3/10 - 16*l**2/5 + 6*l - 16/5 = 0.
-8, 1, 2
Determine d, given that d**4/5 + 6*d**3 - 3*d**2/5 - 92*d/5 - 12 = 0.
-30, -1, 2
Factor -3*i**5/5 + 114*i**4/5 - 1056*i**3/5.
-3*i**3*(i - 22)*(i - 16)/5
Determine f, given that 798*f**2/5 + 207*f/5 - 6/5 = 0.
-2/7, 1/38
Factor -4*i**2 - 8*i + 192.
-4*(i - 6)*(i + 8)
Solve 2*r**5 + 136*r**4 - 880*r**3 + 604*r**2 + 878*r - 740 = 0.
-74, -1, 1, 5
Solve -2*d**5/7 + 8*d**3/7 + 4*d**2/7 - 6*d/7 - 4/7 = 0 for d.
-1, 1, 2
Factor 5*c**4 - 15*c**3 - 5*c**2 + 15*c.
5*c*(c - 3)*(c - 1)*(c + 1)
Factor u**4/4 + 7*u**3/4 - 85*u**2/2.
u**2*(u - 10)*(u + 17)/4
Factor -x**3/2 - 5*x**2/2 + x/2 + 5/2.
-(x - 1)*(x + 1)*(x + 5)/2
Find z such that 4*z**2/5 - 860*z = 0.
0, 1075
Suppose -10*t**5 - 6*t**4 + 84*t**3 + 88*t**2 - 48*t = 0. Calculate t.
-2, 0, 2/5, 3
Factor -l**2/3 - 57*l.
-l*(l + 171)/3
Factor -77*v**2 + 71*v + 6.
-(v - 1)*(77*v + 6)
Factor -12*t**3/5 + 39*t**2/5.
-3*t**2*(4*t - 13)/5
Suppose 3*r**2/7 + 678*r/7 - 681/7 = 0. What is r?
-227, 1
Factor -q**5/5 + 308*q**4/5 - 23716*q**3/5.
-q**3*(q - 154)**2/5
Solve -28*s**5 - 216*s**4 - 524*s**3 - 336*s**2 + 144*s = 0.
-3, -2, 0, 2/7
Factor -2*x**4 + 26*x**3 + 90*x**2 + 94*x + 32.
-2*(x - 16)*(x + 1)**3
Factor -4*o**3 + 104*o**2 - 516*o + 720.
-4*(o - 20)*(o - 3)**2
Factor 2*v**2/19 + 2*v - 40/19.
2*(v - 1)*(v + 20)/19
Factor 46*t**3/3 - 568*t**2/9 + 616*t/9 - 64/9.
2*(t - 2)**2*(69*t - 8)/9
Factor -2*s**3 - 20*s**2 - 66*s - 72.
-2*(s + 3)**2*(s + 4)
Factor -30*o**2 + 111*o/4 + 9/4.
-3*(o - 1)*(40*o + 3)/4
Factor 4*y**2 + 1624*y - 1628.
4*(y - 1)*(y + 407)
Find c, given that -4*c**3/3 + 98*c**2/3 + 154*c/3 + 52/3 = 0.
-1, -1/2, 26
Factor -2*o**3/9 - 230*o**2/9 + 52*o.
-2*o*(o - 2)*(o + 117)/9
Factor 3*m**2 + 6*m + 3.
3*(m + 1)**2
Suppose 7*m**2/6 - 3695*m/6 - 88 = 0. What is m?
-1/7, 528
Find k, given that 2*k**3 - 22*k**2 - 50*k - 26 = 0.
-1, 13
Let -9*o**4/5 + 6*o**3 - 36*o**2/5 + 18*o/5 - 3/5 = 0. What is o?
1/3, 1
Solve 5*s**5/6 + 65*s**4/6 + 145*s**3/3 + 90*s**2 + 60*s = 0.
-6, -3, -2, 0
Suppose 2*t**4/9 - 34*t**3/9 + 58*t**2/9 + 34*t/9 - 20/3 = 0. Calculate t.
-1, 1, 2, 15
Factor 4*l**4 - 8*l**3 + 8*l - 4.
4*(l - 1)**3*(l + 1)
Let -2*m**3/11 + 4*m**2/11 + 16*m/11 = 0. Calculate m.
-2, 0, 4
Solve -2*f**5 - 78*f**4 - 394*f**3 + 1670*f**2 - 1836*f + 640 = 0.
-32, -10, 1
Factor x**4/3 - 32*x**3/3 + 10*x**2 + 32*x/3 - 31/3.
(x - 31)*(x - 1)**2*(x + 1)/3
Factor -2*y**3 - 574*y**2 - 40310*y + 126150.
-2*(y - 3)*(y + 145)**2
Determine p so that -20*p**3 - 85*p**2 + 545*p - 440 = 0.
-8, 1, 11/4
Solve 5*g**5/4 - 39*g**4/4 - 223*g**3/4 - 333*g**2/4 - 89*g/2 - 6 = 0 for g.
-2, -1, -1/5, 12
Determine a so that 2*a**3/9 + 232*a**2/9 - 238*a/9 - 52 = 0.
-117, -1, 2
What is o in -12*o**5/7 + 176*o**4/7 + 464*o**3/7 + 216*o**2/7 - 28*o - 136/7 = 0?
-1, 2/3, 17
Factor c**2 + 750*c + 140625.
(c + 375)**2
Factor -f**3 + 2*f**2 + f - 2.
-(f - 2)*(f - 1)*(f + 1)
Find s, given that 72*s**2 - 44*s - 40 = 0.
-1/2, 10/9
Solve 81*p**4 + 144*p**3 - 1592*p**2 + 2560*p - 1200 = 0 for p.
-6, 10/9, 2
Factor -2*q**3/5 + 11106*q**2/5 - 20557206*q/5 + 12683796102/5.
-2*(q - 1851)**3/5
Factor -5*s**3 - 1190*s**2 - 1185*s.
-5*s*(s + 1)*(s + 237)
Let 2*c**5 - 130*c**4 + 252*c**3 = 0. What is c?
0, 2, 63
Solve 4*g**5 - 80*g**4 - 756*g**3 = 0 for g.
-7, 0, 27
Find i such that 6*i**2/5 + 78*i/5 + 132/5 = 0.
-11, -2
Solve -4*i**5 + 112*i**4 - 376*i**3 - 5712*i**2 - 10404*i = 0.
-3, 0, 17
Determine v, given that -3*v**3/7 - 312*v**2/7 - 6192*v/7 - 34560/7 = 0.
-80, -12
Factor -2*l**4 + 24*l**3 - 82*l**2 + 60*l.
-2*l*(l - 6)*(l - 5)*(l - 1)
Factor -2*q**2/3 - 13*q/6 - 5/3.
-(q + 2)*(4*q + 5)/6
Let 4*j**5/7 + 8*j**4/7 - 8*j**3/7 - 32*j**2/7 - 4*j - 8/7 = 0. What is j?
-1, 2
Let l**3 + 6*l**2 - 7*l = 0. What is l?
-7, 0, 1
Factor 10*p**3 - 26206*p**2 + 15716*p + 10480.
2*(p - 2620)*(p - 1)*(5*p + 2)
Solve 101124*b**2 - 10176*b + 256 = 0.
8/159
Solve -3*l**3 + 9*l**2 + 84*l = 0.
-4, 0, 7
Find a such that a**5/3 - 5*a**4 + 68*a**3/3 - 20*a**2 - 48*a = 0.
-1, 0, 4, 6
Suppose r**2 + 30*r = 0. Calculate r.
-30, 0
Factor 3*q**2/5 + 201*q.
3*q*(q + 335)/5
Factor -3*g**4 - 189*g**3 - 4140*g**2 - 34800*g - 72000.
-3*(g + 3)*(g + 20)**3
Find l, given that l**2/2 + 15*l + 29/2 = 0.
-29, -1
Suppose -24*r**4/11 + 2258*r**3/11 - 53204*r**2/11 + 4418*r/11 = 0. Calculate r.
0, 1/12, 47
Suppose -27*y**3 - 696*y**2 - 1140*y + 288 = 0. What is y?
-24, -2, 2/9
Find l, given that l**2/4 + 27*l + 729 = 0.
-54
Factor m**5/2 + 4*m**4 + 21*m**3/2 + 7*m**2 - 10*m - 12.
(m - 1)*(m + 2)**3*(m + 3)/2
Suppose -3*p**5 - 78*p**4/7 + 1053*p**3/7 - 354*p**2 + 1884*p/7 - 360/7 = 0. What is p?
-10, 2/7, 1, 2, 3
Factor 2*k**2/3 + 2*k - 8/3.
2*(k - 1)*(k + 4)/3
Find n, given that -2*n**2/9 + 10*n/9 + 4/3 = 0.
-1, 6
Find m such that -3*m**4 - 27*m**3 - 84*m**2 - 108*m - 48 = 0.
-4, -2, -1
Factor -5*z**3 - 35*z**2 - 55*z - 25.
-5*(z + 1)**2*(z + 5)
What is j in -j**3/6 + 47*j**2/3 - 88*j = 0?
0, 6, 88
Factor 8*y**4 - 48*y**3 + 26*y**2 + 210*y - 196.
2*(y - 1)*(y + 2)*(2*y - 7)**2
Factor 3*q**4 + 48*q**3 + 270*q**2 + 648*q + 567.
3*(q + 3)**3*(q + 7)
Solve 4*d**3/7 - 13*d**2/7 + 4*d/7 + 12/7 = 0 for d.
-3/4, 2
Find r such that r**3/3 - 3*r**2 + 8*r/3 + 20 = 0.
-2, 5, 6
Factor -u**3 + 6*u**2 - 3*u - 10.
-(u - 5)*(u - 2)*(u + 1)
Solve -2*z**5/5 - 2*z**4 + 2*z**3/5 + 2*z**2 = 0.
-5, -1, 0, 1
Solve 5*y**3 + 160*y**2 + 780*y = 0.
-26, -6, 0
Factor -4*c**3 + 51*c**2 + 133*c + 30.
-(c - 15)*(c + 2)*(4*c + 1)
Factor 5*i**4 - 55*i**3 - 60*i**2.
5*i**2*(i - 12)*(i + 1)
Determine c so that 5*c**3 + 2785*c**2 + 5555*c + 2775 = 0.
-555, -1
Factor 4*v**4 + 60*v**3 - 64*v**2.
4*v**2*(v - 1)*(v + 16)
Factor 2*q**2 - 4*q - 70.
2*(q - 7)*(q + 5)
Factor -60*t**4 + 244*t**3 - 256*t**2 + 16*t.
-4*t*(t - 2)**2*(15*t - 1)
Factor -3*m**4 + 183*m**3 + 576*m**2.
-3*m**2*(m - 64)*(m + 3)
Let -168*c**5/5 - 102*c**4 - 102*c**3 - 30*c**2 + 6*c + 12/5 = 0. Calculate c.
-1, -2/7, 1/4
Let 23*x**3/8 - 807*x**2/8 + 35*x/4 = 0. Calculate x.
0, 2/23, 35
Factor 4*y**5 + 16*y**4 + 8*y**3 - 16*y**2 - 12*y.
4*y*(y - 1)*(y + 1)**2*(y + 3)
Solve t**4/8 + t**3/4 - t**2 - 9*t/4 - 9/8 = 0 for t.
-3, -1, 3
Factor 2*i**4 + 3394*i**3 + 1918740*i**2 + 360720856*i - 362642992.
2*(i - 1)*(i + 566)**3
Factor 3*z**2 - 1563*z + 1560.
3*(z - 520)*(z - 1)
Factor -2*w**3 + 8*w**2/3 + 2*w/3 - 4/3.
-2*(w - 1)**2*(3*w + 2)/3
Factor -3*p**4 + 165*p**3 - 477*p**2 + 471*p - 156.
-3*(p - 52)*(p - 1)**3
Solve 22*s**2 + 12082*s + 2196 = 0 for s.
-549, -2/11
Factor -2*o**2 - 548*o - 37538.
-2*(o + 137)**2
Let -124*x**2 + 100*x + 24 = 0. Calculate x.
-6/31, 1
Find i, given that 3*i**3/7 - 18*i**2/7 + 15*i/7 = 0.
0, 1, 5
Factor 2*f**4/3 + 22*f**3 + 116*f**2 + 664*f/3 + 144.
2*(f + 2)**3*(f + 27)/3
Factor -m**4/3 + 74*m**3 - 1079*m**2/3 - 434*m.
-m*(m - 217)*(m - 6)*(m + 1)/3
Factor 2*b**4/7 + 3*b**3/7 - 129*b**2/7 - 515*b/7 - 225/7.
(b - 9)*(b + 5)**2*(2*b + 1)/7
Suppose 20*g**4 + 2*g**3 = 0. Calculate g.
-1/10, 0
Determine t so that -5*t**4 + 120*t**3 = 0.
0, 24
Suppose 2*s**4/7 + 174*s**3/7 - 2*s**2/7 - 174*s/7 = 0. Calculate s.
-87, -1, 0, 1
Factor -2*p**3/3 - 228*p**2 - 682*p/3.
-2*p*(p + 1)*(p + 341)/3
Find p, given that 2*p**2/5 + 96*p/5 + 1152/5 = 0.
-24
Solve -11*x**4 + 2*x**3 + 33*x**2 - 28*x + 4 = 0.
-2, 2/11, 1
Solve -m**4/8 - 27*m**3/8 - 53*m**2/2 - 42*m + 72 = 0 for m.
-12, -4, 1
Factor 2*l**3 + 16*l**2 - 150*l + 252.
2*(l - 3)**2*(l + 14)
Factor 5*a**2 + 9475*a + 18930.
5*(a + 2)*(a + 1893)
Factor w**2/4 + w - 77/4.
(w - 7)*(w + 11)/4
Solve 1125*r**5 - 11925*r**4 + 6360*r**3 + 11528*r**2/3 + 1712*r/3 + 80/3 = 0 for r.
-2/15, 1, 10
Find x such that 12*x**3 - 28*x**2 - 44*x + 60 = 0.
-5/3, 1, 3
Suppose -s**3/2 + 7*s**2/2 + 113*s/2 + 105/2 = 0. Calculate s.
-7, -1, 15
Factor 3*o**5 + 72*o**4 + 690*o**3 + 3300*o**2 + 7875*o + 7500.
3*(o + 4)*(o + 5)**4
Factor 23763*g**2 - 5874*g + 363.
3*(89*g - 11)**2
Factor -n**2/5 - 6*n + 64/5.
-(n - 2)*(n + 32)/5
Factor 3*j**3/5 + 234*j**2/5 + 1887*j/5 + 1656/5.
3*(j + 1)*(j + 8)*(j + 69)/5
Let 524*l**4/5 + 2088*l**3/5 + 2064*l**2/5 - 32*l/5 = 0. Calculate l.
-2, 0, 2/131
Factor -14*n**4/15 + 22*n**3/5 + 4*n**2/3.
-2*n**2*(n - 5)*(7*n 