 so that -20*n**4 - 6*n**3 + 140*n**2 - 78*n - 36 = 0.
-3, -3/10, 1, 2
Factor d**2 - 25*d.
d*(d - 25)
Find w such that 2*w**3/5 + 28*w**2/5 + 88*w/5 + 16 = 0.
-10, -2
Factor -i**3/3 - i**2/3 + 4*i/3 + 4/3.
-(i - 2)*(i + 1)*(i + 2)/3
Factor z**4/8 + 333*z**3/8 + 28217*z**2/8 + 82335*z/8 + 27225/4.
(z + 1)*(z + 2)*(z + 165)**2/8
Factor -2*p**3/11 - 162*p**2/11 - 1728*p/11 + 69120/11.
-2*(p - 15)*(p + 48)**2/11
Find n such that n**5/4 - n**3/2 + n/4 = 0.
-1, 0, 1
Factor 8*j**4 - 10*j**3 - 4*j**2 + 6*j.
2*j*(j - 1)**2*(4*j + 3)
Find b such that 98*b**3/11 - 350*b**2/11 + 16*b - 24/11 = 0.
2/7, 3
Factor 5*a**3 - 5*a**2 - 10*a.
5*a*(a - 2)*(a + 1)
Factor -j**3/4 - 59*j**2/4.
-j**2*(j + 59)/4
Factor -g**3/4 + 3*g**2/2.
-g**2*(g - 6)/4
Determine i, given that 6*i**2/5 - 2268*i/5 = 0.
0, 378
Factor 2*z**3/7 + 24*z**2/7 - 120*z/7 + 128/7.
2*(z - 2)**2*(z + 16)/7
Factor 3*j**5 - 25*j**4/3 - 2*j**3.
j**3*(j - 3)*(9*j + 2)/3
Determine n so that 20*n**5 - 60*n**4 - 45*n**3 + 125*n**2 + 45*n - 45 = 0.
-1, 1/2, 3/2, 3
Factor 4*n**3/5 - 12052*n**2/5 + 9084192*n/5 - 9072144/5.
4*(n - 1506)**2*(n - 1)/5
Factor -2*w**4/11 + 10*w**3/11 - 18*w**2/11 + 14*w/11 - 4/11.
-2*(w - 2)*(w - 1)**3/11
Factor 3*c**2 + 20250*c + 34171875.
3*(c + 3375)**2
Solve -k**2/3 + k/3 + 14 = 0.
-6, 7
Suppose 206*r**2 + 170*r - 36 = 0. What is r?
-1, 18/103
Determine b so that b**5/2 + 6*b**4 + 33*b**3/2 - 17*b**2 - 42*b + 36 = 0.
-6, -2, 1
Factor 4*h**2 + 1060*h + 1056.
4*(h + 1)*(h + 264)
Factor 4*f**2/3 + 1648*f/3 - 1652/3.
4*(f - 1)*(f + 413)/3
Determine g so that -4*g**3/3 - 3388*g**2/3 + 3400*g/3 + 6784/3 = 0.
-848, -1, 2
What is p in 3*p**5 - 405*p**4 + 6990*p**3 - 44820*p**2 + 113400*p - 75168 = 0?
1, 6, 116
Let -w**3/5 - 7*w**2/5 + 28*w/5 - 4 = 0. What is w?
-10, 1, 2
What is t in 12*t**5 - 852*t**4 + 4071*t**3 - 7416*t**2 + 5967*t - 1782 = 0?
1, 3/2, 66
Find x, given that 5*x**3 + 25*x**2 - 5*x - 25 = 0.
-5, -1, 1
Factor 10*r**3 - 25*r**2 + 20*r - 5.
5*(r - 1)**2*(2*r - 1)
Suppose -4*f**2/9 - 18352*f/9 - 21049744/9 = 0. Calculate f.
-2294
Factor 5*s**3 + 2*s**2 - 20*s - 8.
(s - 2)*(s + 2)*(5*s + 2)
Factor 96*b**3 - 4048*b**2/3 - 2078*b/3 - 262/3.
2*(4*b + 1)**2*(9*b - 131)/3
Find m, given that -m**2/9 - 152*m/3 - 151 = 0.
-453, -3
Find f, given that -3*f**4 + 96*f**3 + 102*f**2 - 96*f - 99 = 0.
-1, 1, 33
Find g, given that 5*g**4/7 + 31*g**3/7 + 20*g**2/7 - 132*g/7 - 144/7 = 0.
-4, -3, -6/5, 2
Factor -4*t**4 - 776*t**3 - 36048*t**2 + 154440*t - 117612.
-4*(t - 3)*(t - 1)*(t + 99)**2
Factor -f**4 + 22*f**3 - 91*f**2 + 102*f.
-f*(f - 17)*(f - 3)*(f - 2)
Determine r, given that 16*r**5/5 + 16*r**4/5 - 44*r**3/5 - 8*r**2/5 + 28*r/5 - 8/5 = 0.
-2, -1, 1/2, 1
Find x such that 20*x**4 - 575*x**3 - 4165*x**2 - 7305*x - 1575 = 0.
-3, -1/4, 35
Factor 7*b**4 - 103*b**3 - 30*b**2 + 3500*b + 1000.
(b - 10)**2*(b + 5)*(7*b + 2)
Factor z**2/5 + 37*z/5 + 32.
(z + 5)*(z + 32)/5
Factor 5*z**2 + 205*z - 900.
5*(z - 4)*(z + 45)
Let -4*g**2/5 - 48*g/5 - 16 = 0. Calculate g.
-10, -2
Factor -4*u**4 + 20*u**3.
-4*u**3*(u - 5)
Determine v, given that -12*v**2 + 40*v + 32 = 0.
-2/3, 4
Factor x**3/4 - 39*x**2 - 801*x/4 - 161.
(x - 161)*(x + 1)*(x + 4)/4
Solve -46*m**2 - 142*m - 12 = 0 for m.
-3, -2/23
Factor d**5/9 + 2*d**4 + 40*d**3/3 + 368*d**2/9 + 176*d/3 + 32.
(d + 2)**3*(d + 6)**2/9
Factor 2*r**4 - 18*r**3 + 54*r**2 - 54*r.
2*r*(r - 3)**3
Solve o**2 - 3742*o + 3741 = 0.
1, 3741
Find p, given that -2*p**3 - 48*p**2 - 90*p - 44 = 0.
-22, -1
Let 2*k**2 + 20*k + 50 = 0. What is k?
-5
Solve u**2/7 + 692*u/7 - 2085/7 = 0.
-695, 3
What is j in -3*j**2 + 2202*j - 404067 = 0?
367
Factor 4*g**4 + 124*g**3 + 896*g**2 - 1024*g.
4*g*(g - 1)*(g + 16)**2
Determine m so that 3*m**5 - 24*m**4 + 63*m**3 - 66*m**2 + 24*m = 0.
0, 1, 2, 4
What is n in -5*n**4 + 20*n**3 + 65*n**2 - 20*n - 60 = 0?
-2, -1, 1, 6
Factor -3*m**3/4 - 30*m**2 - 1101*m/4 + 306.
-3*(m - 1)*(m + 17)*(m + 24)/4
Factor s**2/10 - 142*s/5 + 10082/5.
(s - 142)**2/10
Solve -3*m**5 + 117*m**4 - 1398*m**3 + 5058*m**2 - 6375*m + 2601 = 0 for m.
1, 3, 17
Determine u, given that -4*u**4 + 240*u**3 - 3832*u**2 + 6960*u - 3364 = 0.
1, 29
Solve -15*l**4 + 57*l**3 - 63*l**2 + 15*l + 6 = 0.
-1/5, 1, 2
Find d such that -d**5/4 - d**4/2 + d**2/2 + d/4 = 0.
-1, 0, 1
Determine c so that -4*c**3 - 44*c**2 + 104*c = 0.
-13, 0, 2
Factor 2*f**2/11 - 16*f/11 - 96/11.
2*(f - 12)*(f + 4)/11
Determine h, given that -5*h**4 - 1835*h**3 - 165585*h**2 + 509675*h - 342250 = 0.
-185, 1, 2
Solve 2*t**4/9 + 4*t**3/9 + 2*t**2/9 = 0 for t.
-1, 0
Factor 4*c**3 - 60*c**2 + 156*c + 220.
4*(c - 11)*(c - 5)*(c + 1)
Find w such that -2*w**4/9 - 104*w**3/3 + 1270*w**2/9 - 532*w/3 + 640/9 = 0.
-160, 1, 2
Factor -3*u**5 - 60*u**4 - 252*u**3 - 426*u**2 - 321*u - 90.
-3*(u + 1)**3*(u + 2)*(u + 15)
Find p such that 2*p**3/3 + 48*p**2/5 + 62*p/5 + 52/15 = 0.
-13, -1, -2/5
What is g in -3*g**5 - 213*g**4 - 3669*g**3 + 4101*g**2 + 3672*g - 3888 = 0?
-36, -1, 1
Factor -9261*f**3 - 264600*f**2 - 2520000*f - 8000000.
-(21*f + 200)**3
Find x such that 2*x**4 + 2*x**3 - 30*x**2 - 18*x + 108 = 0.
-3, 2, 3
Determine a, given that -2*a**5 + 56*a**4 + 466*a**3 + 840*a**2 = 0.
-4, -3, 0, 35
Factor 3*d**3 + 21*d**2 - 54*d.
3*d*(d - 2)*(d + 9)
What is k in -16*k**3 + 100*k**2 + 88*k - 28 = 0?
-1, 1/4, 7
Determine n, given that 5*n**3 - 895*n**2 - 1805*n - 905 = 0.
-1, 181
Solve 2*r**4/5 - 76*r**3/5 + 144*r**2/5 = 0 for r.
0, 2, 36
Determine c so that -5*c**4 + 270*c**3 - 5405*c**2 + 47520*c - 154880 = 0.
11, 16
Factor -f**4/3 + 72*f**2 + 576*f + 1296.
-(f - 18)*(f + 6)**3/3
Factor 2*w**2 - 3834*w + 11484.
2*(w - 1914)*(w - 3)
Determine w, given that -2*w**2/9 - 2*w - 16/9 = 0.
-8, -1
Solve -4*i**5 + 28*i**4 + 1480*i**3 + 8072*i**2 - 1476*i - 8100 = 0.
-9, -1, 1, 25
Suppose -p**3/4 + 13*p**2/4 - 25*p/2 + 14 = 0. Calculate p.
2, 4, 7
What is f in 5*f**3 + 30*f**2 - 225*f - 250 = 0?
-10, -1, 5
Suppose -5*q**4 + 110*q**2 - 120*q - 225 = 0. Calculate q.
-5, -1, 3
Let 9*w**2/5 + 11*w/5 + 2/5 = 0. What is w?
-1, -2/9
Factor b**2 + 5*b - 14.
(b - 2)*(b + 7)
Factor -3*s**3 + 1863*s**2 - 5562*s.
-3*s*(s - 618)*(s - 3)
Factor -5*b**5 - 1950*b**4 - 253500*b**3 - 10985000*b**2.
-5*b**2*(b + 130)**3
Factor 2*v**2/3 - 968*v/3 + 117128/3.
2*(v - 242)**2/3
Determine g, given that -5*g**2 - 65*g + 240 = 0.
-16, 3
Suppose 4*r**3/5 - 172*r**2/5 = 0. Calculate r.
0, 43
Factor 3*n**2 - 5802*n + 2805267.
3*(n - 967)**2
Suppose -21*c**5 - 204*c**4 - 129*c**3 + 54*c**2 = 0. Calculate c.
-9, -1, 0, 2/7
Find p, given that -6*p**2 - 854*p/13 + 44/13 = 0.
-11, 2/39
Determine s so that 5*s**2 - 1145*s = 0.
0, 229
Find u such that -4*u**5/5 + 12*u**4 - 184*u**3/5 - 384*u**2/5 + 512*u/5 = 0.
-2, 0, 1, 8
Suppose s**5/5 + 68*s**4/5 + 737*s**3/5 + 242*s**2 = 0. Calculate s.
-55, -11, -2, 0
Suppose 2*x**2 - 11912*x + 17736968 = 0. What is x?
2978
Solve -3*g**3/4 + 7650*g**2 - 26010000*g + 29478000000 = 0 for g.
3400
Factor 7*x**3 - 95*x**2 - 147*x - 45.
(x - 15)*(x + 1)*(7*x + 3)
Factor -686*i**4/13 + 4018*i**3/13 - 3108*i**2/13 + 856*i/13 - 80/13.
-2*(i - 5)*(7*i - 2)**3/13
Let -5*f**2 - 45*f = 0. What is f?
-9, 0
Factor f**4/7 - 26*f**3/7 - 29*f**2/7 + 54*f/7.
f*(f - 27)*(f - 1)*(f + 2)/7
Determine v, given that -7203*v**5 + 36897*v**4 + 89202*v**3 + 39090*v**2 - 5823*v + 189 = 0.
-1, 3/49, 7
Let 2*p**4/19 + 78*p**3/19 + 1014*p**2/19 + 4394*p/19 = 0. Calculate p.
-13, 0
Let -2*v**5/13 + 22*v**4/13 + 2114*v**3/13 - 13054*v**2/13 - 45024*v + 45864 = 0. Calculate v.
-21, 1, 26
Factor 3*u**2/8 + 3*u/8 - 3/4.
3*(u - 1)*(u + 2)/8
Factor x**2/2 + 36*x.
x*(x + 72)/2
Factor -9*c**3/5 + 21*c**2 - 228*c/5 + 108/5.
-3*(c - 9)*(c - 2)*(3*c - 2)/5
Factor -3*h**3 + 75*h.
-3*h*(h - 5)*(h + 5)
Factor 38*m**2/3 + 34*m/3 - 4/3.
2*(m + 1)*(19*m - 2)/3
Factor 3*v**4 - 51*v**3 + 150*v**2 + 528*v.
3*v*(v - 11)*(v - 8)*(v + 2)
Find j, given that -5*j**2/2 - 6121*j - 2448 = 0.
-2448, -2/5
Solve -4*m**5/5 + 856*m**4/5 - 49092*m**3/5 + 352672*m**2/5 - 678976*m/5 = 0 for m.
0, 4, 103
Let 6*q**3/7 + 46*q**2/7 + 64*q/7 + 24/7 = 0. Calculate q.
-6, -1, -2/3
Factor 2*k**4 - 34*k**3 - 396*k**2 + 4288*k - 9152.
2*(k - 22)*(k - 4)**2*(k + 13)
Factor k**4 - 5*k**3 - 3*k**2 + 17*k - 10.
(k - 5)*(k - 1)**2*(k + 2)
Find g, given that g**2 + 52*g - 165 = 0.
-55, 3
Find x such th