4)**3
Find w such that w**3/3 - w**2 - 60*w = 0.
-12, 0, 15
Factor -4*b**3 + 68*b**2 - 124*b + 60.
-4*(b - 15)*(b - 1)**2
Determine n, given that n**4 + n**3/2 - 4*n**2 - 2*n = 0.
-2, -1/2, 0, 2
Factor 3*k**2/4 - 81*k/2 + 216.
3*(k - 48)*(k - 6)/4
Factor 2646*d**2/5 + 728*d/5 - 8/5.
2*(7*d + 2)*(189*d - 2)/5
Factor i**2 + 8*i + 7.
(i + 1)*(i + 7)
Factor 3*n**5/8 + 33*n**4/4 + 255*n**3/8.
3*n**3*(n + 5)*(n + 17)/8
Solve -2*y**4 + 46*y**3 - 336*y**2 + 640*y + 1024 = 0.
-1, 8
Factor -2*m**4 - 196*m**3 - 2280*m**2 - 5852*m + 8330.
-2*(m - 1)*(m + 7)**2*(m + 85)
Find p such that p**2/2 + 261*p = 0.
-522, 0
Solve -9*z**4/8 + 3*z**3/8 + 27*z**2/8 - 27*z/8 + 3/4 = 0 for z.
-2, 1/3, 1
Factor -y**2 - 300*y - 22500.
-(y + 150)**2
Factor 2*a**4/13 - 4*a**3/13 + 2*a**2/13.
2*a**2*(a - 1)**2/13
What is s in 5*s**2 + 8850*s + 8845 = 0?
-1769, -1
Factor y**4 - 1868*y**3.
y**3*(y - 1868)
Factor -n**2 - 13*n - 22.
-(n + 2)*(n + 11)
Let r**4/2 - 27*r**3 + 486*r**2 - 2916*r = 0. What is r?
0, 18
Factor 9*x**2/4 + 23*x/4 - 3.
(x + 3)*(9*x - 4)/4
What is q in 3*q**2 + 177*q - 2310 = 0?
-70, 11
Factor -5*t**2 + 35*t + 40.
-5*(t - 8)*(t + 1)
Let -l**5 + 5*l**4/2 + 77*l**3/2 + 103*l**2/2 - 111*l/2 - 36 = 0. What is l?
-3, -1/2, 1, 8
Factor -4*p**2/3 - 124*p/3 + 1064/3.
-4*(p - 7)*(p + 38)/3
Factor -4*f**5 - 68*f**4 - 276*f**3 - 460*f**2 - 344*f - 96.
-4*(f + 1)**3*(f + 2)*(f + 12)
Factor 5*b**4 + 70*b**3 + 40*b**2 - 310*b + 195.
5*(b - 1)**2*(b + 3)*(b + 13)
Factor -2*u**3/13 - 42*u**2/13 - 40*u/13.
-2*u*(u + 1)*(u + 20)/13
Factor 2*l**5/15 - 2*l**4/15 - 2*l**3/3 - 2*l**2/5.
2*l**2*(l - 3)*(l + 1)**2/15
Factor 12*p**2 + 3380*p - 1128.
4*(p + 282)*(3*p - 1)
Find w, given that 3*w**2 - 24*w + 45 = 0.
3, 5
Factor 3*z**4/5 + 24*z**3/5 - 3*z**2/5 - 24*z/5.
3*z*(z - 1)*(z + 1)*(z + 8)/5
Factor -o**4/2 + 15*o**3/2 - 9*o**2/2 - 67*o/2 - 21.
-(o - 14)*(o - 3)*(o + 1)**2/2
Factor -2*a**4/5 + 86*a**3/5 - 992*a**2/5 + 3456*a/5.
-2*a*(a - 27)*(a - 8)**2/5
Factor 6*a**2 - 20*a + 6.
2*(a - 3)*(3*a - 1)
Solve -q**3/4 - q**2 - q = 0.
-2, 0
Determine g so that -32*g**3/9 + 976*g**2/9 - 482*g/9 + 20/3 = 0.
1/4, 30
Factor 2*g**2 - 274*g + 804.
2*(g - 134)*(g - 3)
Determine f, given that f**2/2 + 475*f/2 - 717 = 0.
-478, 3
Factor 4*b**5 - 28*b**4 + 52*b**3 + 12*b**2 - 72*b.
4*b*(b - 3)**2*(b - 2)*(b + 1)
Factor -2*d**2 - 204*d - 5202.
-2*(d + 51)**2
Factor -3*x**5 - 237*x**4 - 5025*x**3 - 13683*x**2 - 13224*x - 4332.
-3*(x + 1)**3*(x + 38)**2
Find k such that 2*k**3/13 - 28*k**2/13 + 86*k/13 - 60/13 = 0.
1, 3, 10
Solve -5*v**4 + 155*v**3 - 1245*v**2 + 225*v + 6750 = 0 for v.
-2, 3, 15
Factor -4*z**3/11 + 21*z**2/11 + 19*z/11 - 6/11.
-(z - 6)*(z + 1)*(4*z - 1)/11
Solve -4*q**3 - 164*q**2 + 4*q + 164 = 0 for q.
-41, -1, 1
Find u, given that 4*u**3/9 + 16*u**2/3 + 80*u/9 = 0.
-10, -2, 0
Solve 2*t**5/9 + 10*t**4/9 - 2*t**3/3 - 34*t**2/9 - 20*t/9 = 0.
-5, -1, 0, 2
Suppose -k**3/6 + 17*k**2/3 - 11*k/2 = 0. Calculate k.
0, 1, 33
Factor -5*l**2 - 70*l - 120.
-5*(l + 2)*(l + 12)
Find w, given that -3*w**3 + 4329*w**2 - 2082249*w + 333853923 = 0.
481
Determine l, given that 3*l**3/5 - 9*l**2/5 - 12*l/5 + 36/5 = 0.
-2, 2, 3
What is u in 2*u**2/3 - 376*u + 53016 = 0?
282
Let -10*a**5 - 35*a**4 + 245*a**3 + 295*a**2 - 235*a - 260 = 0. What is a?
-13/2, -1, 1, 4
Factor -i**3 + 5*i**2 + 6*i.
-i*(i - 6)*(i + 1)
Factor -27*q**3 - 465*q**2 + 384*q + 108.
-3*(q - 1)*(q + 18)*(9*q + 2)
Let -5*x**4 + 330*x**3 - 960*x**2 + 950*x - 315 = 0. Calculate x.
1, 63
Let 3*q**2 + 33*q - 240 = 0. Calculate q.
-16, 5
Let 2*t**2 - 944*t + 111392 = 0. What is t?
236
Let -2*a**2 + 10*a + 72 = 0. Calculate a.
-4, 9
Factor -5*m**2 + 660*m - 21780.
-5*(m - 66)**2
Factor 3*c**2 + 48*c + 45.
3*(c + 1)*(c + 15)
Find o, given that 3*o**2/2 - 33*o - 480 = 0.
-10, 32
Determine k, given that 2*k**2/5 + 26*k/5 + 24/5 = 0.
-12, -1
Suppose -2*w**2/15 + 88*w/15 = 0. What is w?
0, 44
Find f, given that 2*f**5 + 10*f**4 + 4*f**3 - 28*f**2 - 6*f + 18 = 0.
-3, -1, 1
Factor -4*d**4 - 128*d**3 - 568*d**2 - 768*d - 324.
-4*(d + 1)**2*(d + 3)*(d + 27)
Factor -v**4 + 2*v**3 + 4*v**2 - 8*v.
-v*(v - 2)**2*(v + 2)
Factor -2*v**2/3 + 276*v + 3344/3.
-2*(v - 418)*(v + 4)/3
Factor z**5 + z**4 - 8*z**3 - 8*z**2 + 16*z + 16.
(z - 2)**2*(z + 1)*(z + 2)**2
Determine j, given that -4*j**2 - 1840*j - 211600 = 0.
-230
What is c in -10*c**5/3 + 94*c**4/3 - 106*c**3/3 - 62*c**2/3 + 116*c/3 - 32/3 = 0?
-1, 2/5, 1, 8
Factor 10*p**4/3 - 59*p**3/6 + 37*p**2/6 + p/3.
p*(p - 2)*(p - 1)*(20*p + 1)/6
Let 2*a**4/13 - 204*a**3/13 + 4336*a**2/13 - 29760*a/13 + 43776/13 = 0. What is a?
2, 12, 76
Solve 2*b**5 - 36*b**4/5 - 666*b**3/5 - 316*b**2 - 528*b/5 = 0.
-4, -3, -2/5, 0, 11
Find x such that -2*x**5 - 4*x**4 + 6*x**3 + 16*x**2 + 8*x = 0.
-2, -1, 0, 2
Find s such that -3*s**5 + 3*s**4 + 39*s**3 - 3*s**2 - 144*s - 108 = 0.
-2, -1, 3
Factor q**4 - 58*q**3 - 120*q**2.
q**2*(q - 60)*(q + 2)
Factor 2*t**4/9 + 2224*t**3/9 + 91760*t**2 + 102948800*t/9 + 202612000/9.
2*(t + 2)*(t + 370)**3/9
What is d in 10*d**4/13 - 124*d**3/13 + 398*d**2/13 - 380*d/13 + 96/13 = 0?
2/5, 1, 3, 8
Determine z, given that 2*z**4/7 + 24*z**3/7 - 12*z**2 - 280*z - 882 = 0.
-7, 9
Let -3*a**2 + 12471*a = 0. Calculate a.
0, 4157
Solve 4*k**4 - 44*k**3 + 180*k**2 - 324*k + 216 = 0 for k.
2, 3
Let -5*l**5 - 60*l**4 - 250*l**3 - 420*l**2 - 225*l = 0. What is l?
-5, -3, -1, 0
Factor -4*d**4 - 36*d**3 + 480*d**2 + 512*d.
-4*d*(d - 8)*(d + 1)*(d + 16)
Factor 12*h**4 + 63*h**3 + 99*h**2 + 57*h + 9.
3*(h + 1)**2*(h + 3)*(4*h + 1)
Factor -5*h**3 - 1650*h**2 - 181500*h - 6655000.
-5*(h + 110)**3
Factor 2*x**4 + 6*x**3 + 2*x**2 - 6*x - 4.
2*(x - 1)*(x + 1)**2*(x + 2)
Factor 2*j**3/5 - 44*j**2/5 + 242*j/5.
2*j*(j - 11)**2/5
Solve -3*w**4/2 - 9*w**3 + 93*w**2/2 + 234*w - 270 = 0.
-6, 1, 5
Find z, given that -6*z**5/5 + 48*z**4/5 - 6*z**3 - 372*z**2/5 + 792*z/5 - 432/5 = 0.
-3, 1, 2, 6
Factor q**3 + 42*q**2 + 117*q.
q*(q + 3)*(q + 39)
Factor 2*f**3/19 - 16*f**2/19 + 26*f/19 - 12/19.
2*(f - 6)*(f - 1)**2/19
Factor l**2/8 + 17*l/4 + 33/8.
(l + 1)*(l + 33)/8
Factor 5*g**3 - 920*g**2 - 925*g.
5*g*(g - 185)*(g + 1)
Factor -j**5/8 - 7*j**4/8 - 9*j**3/8 + 27*j**2/8 + 27*j/4.
-j*(j - 2)*(j + 3)**3/8
Solve -25*l**5/6 + 155*l**4/6 - 107*l**3/3 - 26*l**2/3 + 52*l/3 + 16/3 = 0 for l.
-2/5, 1, 2, 4
Solve y**3/4 - 2*y**2 + 7*y/4 = 0.
0, 1, 7
Factor -g**4 - 18*g**3 - 117*g**2 - 324*g - 324.
-(g + 3)**2*(g + 6)**2
Factor -8*i**4/7 + 30*i**3/7 + 8*i**2/7.
-2*i**2*(i - 4)*(4*i + 1)/7
Factor -2*k**2/5 - 334*k/5 - 132.
-2*(k + 2)*(k + 165)/5
Factor -5*q**2 + 22*q - 24.
-(q - 2)*(5*q - 12)
Find g such that g**4/5 + 2*g**3 + 16*g**2/5 - 18*g - 45 = 0.
-5, -3, 3
Suppose -4*q**5 + 72*q**4 - 380*q**3 + 584*q**2 + 240*q - 800 = 0. Calculate q.
-1, 2, 5, 10
Factor -4*q**2 - 24520*q - 37576900.
-4*(q + 3065)**2
Suppose -4*c**2/3 - 1420*c/3 + 1424/3 = 0. What is c?
-356, 1
Factor -5*b**3 + 160*b**2 - 445*b + 290.
-5*(b - 29)*(b - 2)*(b - 1)
Let -3*v**5/4 + 29*v**4/4 - 39*v**3/2 + 19*v**2 - 6*v = 0. Calculate v.
0, 2/3, 1, 2, 6
Solve -5*f**4 - 50*f**3 - 115*f**2 + 50*f + 120 = 0.
-6, -4, -1, 1
Let 2*d**4/9 - 112*d**3/3 + 332*d**2/9 + 112*d/3 - 334/9 = 0. What is d?
-1, 1, 167
Factor -d**3/7 + 30*d**2/7 - 11*d - 108/7.
-(d - 27)*(d - 4)*(d + 1)/7
Factor -3*v**4 + 14*v**3 + 88*v**2 - 64*v.
-v*(v - 8)*(v + 4)*(3*v - 2)
Factor l**5 - 10*l**4 + 27*l**3 - 18*l**2.
l**2*(l - 6)*(l - 3)*(l - 1)
Let -3*o**2/7 + 29*o/7 + 10/7 = 0. Calculate o.
-1/3, 10
Factor h**2/4 - 77*h + 453.
(h - 302)*(h - 6)/4
Determine j, given that j**4 - 10*j**3 - 39*j**2 - 4*j + 52 = 0.
-2, 1, 13
Solve 2*s**5 + 12*s**4 + 22*s**3 + 12*s**2 = 0.
-3, -2, -1, 0
Solve -275282*t**2 + 26712*t - 648 = 0.
18/371
Find k, given that -3*k**5/2 - 11*k**4/2 + 25*k**3/2 + 95*k**2/2 + 19*k - 12 = 0.
-4, -2, -1, 1/3, 3
Determine z, given that 2*z**3/7 + 2*z**2/7 - 16*z/7 - 24/7 = 0.
-2, 3
Factor 3*w**3 - 720*w**2 + 43911*w - 84966.
3*(w - 119)**2*(w - 2)
Factor 3*i**2 - 20952*i + 36582192.
3*(i - 3492)**2
Factor 5*s**4 - 10*s**3 - 145*s**2 - 210*s.
5*s*(s - 7)*(s + 2)*(s + 3)
Find n such that -4*n**2 - 920*n + 1856 = 0.
-232, 2
Factor 2*r**2/15 + 4*r/3 + 32/15.
2*(r + 2)*(r + 8)/15
Factor -35*g**4 + 100*g**3 - 90*g**2 + 20*g + 5.
-5*(g - 1)**3*(7*g + 1)
What is f in 6*f**4 - 386*f**3 + 1592*