*z**4/3 + 521*z**3 + 3677*z**2/3 + 3338*z/3 + 352 = 0.
-6, -1, 176
Factor 2*j**4/11 - 2*j**3/11 - 630*j**2/11 - 5782*j/11 - 1372.
2*(j - 22)*(j + 7)**3/11
Factor -4*n**3 + 1824*n**2 - 207936*n.
-4*n*(n - 228)**2
Factor -6*n**4/5 + 1452*n**3/5 + 4392*n**2/5 + 4404*n/5 + 294.
-6*(n - 245)*(n + 1)**3/5
Factor z**4/3 + 127*z**3/3 - 130*z**2/3 - 256*z/3.
z*(z - 2)*(z + 1)*(z + 128)/3
Factor l**2/5 - 26*l/5.
l*(l - 26)/5
Factor 15*j**3 - 6849*j**2 - 23442*j - 8280.
3*(j - 460)*(j + 3)*(5*j + 2)
Factor -2*t**3 + 152*t**2 - 2888*t.
-2*t*(t - 38)**2
Factor 270*g**3 - 1914*g**2 + 160*g + 56.
2*(g - 7)*(9*g - 2)*(15*g + 2)
Factor -p**4 - 64*p**3 - 1023*p**2 + 64*p + 1024.
-(p - 1)*(p + 1)*(p + 32)**2
Suppose 2*b**3/3 - 96*b**2 + 568*b/3 = 0. Calculate b.
0, 2, 142
Let -2*r**3 - 106*r**2 + 480*r + 1368 = 0. Calculate r.
-57, -2, 6
Factor -5*p**4 - 35*p**3 + 85*p**2 - 45*p.
-5*p*(p - 1)**2*(p + 9)
Factor 9*y**4 + 114*y**3 + 252*y**2 + 120*y.
3*y*(y + 2)*(y + 10)*(3*y + 2)
Determine j, given that -2*j**3 + 18*j**2 + 44*j = 0.
-2, 0, 11
Factor 4*c**4 + 184*c**3 + 2124*c**2 + 1944*c.
4*c*(c + 1)*(c + 18)*(c + 27)
Determine h so that -h**4/9 + 68*h**3/9 - 1082*h**2/9 - 2660*h/9 + 1225/3 = 0.
-3, 1, 35
Factor -7*u**3/4 + 45*u**2 - 71*u - 24.
-(u - 24)*(u - 2)*(7*u + 2)/4
Factor m**3 + 13*m**2 + 56*m + 80.
(m + 4)**2*(m + 5)
Determine u, given that -2*u**5/5 - 16*u**4/5 + 42*u**3/5 + 16*u**2/5 - 8*u = 0.
-10, -1, 0, 1, 2
Let 2*x**2/13 - 134*x/13 + 504/13 = 0. Calculate x.
4, 63
Factor -3*z**4 + 6*z**3 + 9*z**2 - 24*z + 12.
-3*(z - 2)*(z - 1)**2*(z + 2)
Suppose -8*l**4 + 156*l**3 - 828*l**2 + 324*l + 2916 = 0. Calculate l.
-3/2, 3, 9
What is i in -2*i**3/17 + 732*i**2/17 - 1458*i/17 + 728/17 = 0?
1, 364
Factor -s**4/6 + s**3/3 + s**2/2 - 4*s/3 + 2/3.
-(s - 2)*(s - 1)**2*(s + 2)/6
What is q in -4*q**3 + 8*q**2 - 4*q = 0?
0, 1
Factor -2*q**4 + 2*q**3 + 2*q**2 - 2*q.
-2*q*(q - 1)**2*(q + 1)
Factor -196*a**5 + 1120*a**4 - 2020*a**3 + 920*a**2 + 400*a + 32.
-4*(a - 2)**3*(7*a + 1)**2
Find h, given that -h**3/10 - 49*h**2/10 - 115*h/2 + 125/2 = 0.
-25, 1
Factor -3*l**3 - 1428*l**2 + 1431*l.
-3*l*(l - 1)*(l + 477)
Factor 3*a**4/7 + 9*a**3/7 - 486*a**2/7 - 4212*a/7 - 9720/7.
3*(a - 15)*(a + 6)**3/7
Let -u**2 - 64*u - 124 = 0. What is u?
-62, -2
Find g, given that -3*g**5 - 48*g**4 + 180*g**3 + 150*g**2 - 417*g - 342 = 0.
-19, -1, 2, 3
Factor 2*x**2 - 14*x + 12.
2*(x - 6)*(x - 1)
Find x such that -9*x**4 - 888*x**3 - 1461*x**2 - 582*x = 0.
-97, -1, -2/3, 0
Factor l**4/7 - 3*l**3/7 - 24*l**2/7 + 80*l/7.
l*(l - 4)**2*(l + 5)/7
Factor -p**2/6 + 7433*p/6 + 1239.
-(p - 7434)*(p + 1)/6
Factor -p**2 + 878*p - 877.
-(p - 877)*(p - 1)
Suppose -5*j**5 - 630*j**4 - 17845*j**3 + 127380*j**2 - 108900*j = 0. Calculate j.
-66, 0, 1, 5
Factor -5*c**4 - 145*c**3 - 1235*c**2 - 2535*c.
-5*c*(c + 3)*(c + 13)**2
Factor c**3/6 - 313*c**2/2 + 97969*c/2 - 30664297/6.
(c - 313)**3/6
Factor z**3/6 + 128*z**2/3 + 509*z/6 + 127/3.
(z + 1)**2*(z + 254)/6
Find z, given that 34*z**4/3 + 32*z**3/3 - 12*z**2 - 32*z/3 + 2/3 = 0.
-1, 1/17, 1
Factor -x**2/3 - 94*x/3 - 31.
-(x + 1)*(x + 93)/3
Factor -2*u**4/11 - 18*u**3/11 + 6*u**2 - 70*u/11 + 24/11.
-2*(u - 1)**3*(u + 12)/11
Determine u, given that u**4/5 + 153*u**3/5 + 297*u**2/5 - 761*u/5 - 906/5 = 0.
-151, -3, -1, 2
Solve -5*u**4 + 20*u**3 + 820*u**2 - 1680*u = 0 for u.
-12, 0, 2, 14
Factor -5*l**5 - 80*l**4 - 320*l**3.
-5*l**3*(l + 8)**2
Solve 4*p**3/5 + 1372*p**2/5 - 2756*p/5 + 276 = 0 for p.
-345, 1
Suppose 2*s**2/9 + 1534*s/9 + 1528/3 = 0. What is s?
-764, -3
Factor w**3/2 + 53*w**2/6 + 41*w/3 + 16/3.
(w + 1)*(w + 16)*(3*w + 2)/6
Factor 2*h**2 - 94*h - 96.
2*(h - 48)*(h + 1)
Factor -15*x**3 + 520*x**2 - 3965*x - 1380.
-5*(x - 23)*(x - 12)*(3*x + 1)
Let 4*p**5 + 164*p**4 + 800*p**3 - 23984*p**2 - 100608*p - 101376 = 0. Calculate p.
-24, -2, 11
Factor -67*o**2/4 + 169*o/2 - 15/4.
-(o - 5)*(67*o - 3)/4
Find f, given that -50*f**4 - 180*f**3 - 122*f**2 + 72*f - 8 = 0.
-2, 1/5
What is w in 13*w**2/2 - 69*w/2 + 45 = 0?
30/13, 3
Solve -3*c**4/8 - 9*c**3/2 - 21*c**2/8 + 171*c/2 + 84 = 0 for c.
-8, -7, -1, 4
Suppose -2*l**5 + 64*l**4 + 86*l**3 - 676*l**2 + 528*l = 0. What is l?
-4, 0, 1, 2, 33
Let 3*j**4 + 2*j**3 - 49*j**2 + 76*j - 20 = 0. What is j?
-5, 1/3, 2
Find x such that 3*x**4 + 27*x**3 - 51*x**2 - 567*x + 588 = 0.
-7, 1, 4
Factor -2*z**3 + 666*z**2 + 2*z - 666.
-2*(z - 333)*(z - 1)*(z + 1)
Factor -5*y**3 + 10*y**2 + 35*y + 20.
-5*(y - 4)*(y + 1)**2
Suppose -5*o**4/2 + 45*o**3/2 - 25*o**2/2 - 405*o/2 + 315 = 0. Calculate o.
-3, 2, 3, 7
Factor q**2/7 + 3848*q/7 - 3849/7.
(q - 1)*(q + 3849)/7
Factor -x**3/9 + 8*x**2/9 + 19*x/9 + 10/9.
-(x - 10)*(x + 1)**2/9
Solve 3*s**5 - 18*s**4 + 3*s**3 + 72*s**2 + 48*s = 0.
-1, 0, 4
Factor 3*x**2 - 177*x - 1836.
3*(x - 68)*(x + 9)
Determine c, given that c**4/8 + c**3/2 - 6*c**2 + 14*c - 10 = 0.
-10, 2
Determine s so that 2*s**3 - 12*s**2 - 14*s = 0.
-1, 0, 7
Factor 4*n**2 - 10416*n + 6780816.
4*(n - 1302)**2
Factor 3*h**4/2 - 6*h**3 - 15*h**2/2.
3*h**2*(h - 5)*(h + 1)/2
Suppose -s**5/4 + s**4/4 + 9*s**3/2 - 13*s**2 + 10*s = 0. What is s?
-5, 0, 2
Determine j, given that 2*j**2/15 - 34*j/15 - 44/3 = 0.
-5, 22
Factor 4*t**4 - 208*t**3 - 216*t**2 + 208*t + 212.
4*(t - 53)*(t - 1)*(t + 1)**2
Find h, given that 2*h**3/3 - 424*h**2/3 + 22042*h/3 + 45796/3 = 0.
-2, 107
Let 2*c**5/5 - 18*c**4/5 + 12*c**3/5 + 32*c**2/5 = 0. What is c?
-1, 0, 2, 8
Factor -74*j**2/7 + 146*j/7 + 4/7.
-2*(j - 2)*(37*j + 1)/7
Find d, given that 3*d**4/2 + 4371*d**3/2 + 13095*d**2/2 + 13089*d/2 + 2181 = 0.
-1454, -1
Suppose f**5 - f**4 - 38*f**3 + 36*f**2 + 72*f = 0. What is f?
-6, -1, 0, 2, 6
Factor 4*c**3 + 4*c**2 - 36*c - 36.
4*(c - 3)*(c + 1)*(c + 3)
Factor -3*l**3/4 + 59*l**2/4 - 35*l + 17.
-(l - 17)*(l - 2)*(3*l - 2)/4
Determine c so that -c**5 + 2*c**4 + 26*c**3 + 56*c**2 + 47*c + 14 = 0.
-2, -1, 7
Find a such that 2*a**3/9 + 14*a**2/9 - 20*a/9 - 32/9 = 0.
-8, -1, 2
Factor 2*t**4/3 - 11344*t**3/3 + 16085792*t**2/3.
2*t**2*(t - 2836)**2/3
Determine t, given that -t**5/2 + 23*t**4/2 - 101*t**3/2 - 23*t**2/2 + 51*t = 0.
-1, 0, 1, 6, 17
Find j such that 20*j**4 + 88*j**3 + 92*j**2 + 24*j = 0.
-3, -1, -2/5, 0
Factor -2*j**3/5 + 2*j**2/5 + 24*j + 216/5.
-2*(j - 9)*(j + 2)*(j + 6)/5
Suppose -n**4 + 6*n**3 - 5*n**2 = 0. Calculate n.
0, 1, 5
Factor -3*u**2 - 189*u - 708.
-3*(u + 4)*(u + 59)
Factor -3*r**4 + 4*r**3 + 17*r**2 - 6*r.
-r*(r - 3)*(r + 2)*(3*r - 1)
Factor -g**4 - 12*g**3.
-g**3*(g + 12)
Factor 5*i**2/2 - 2330*i - 4665/2.
5*(i - 933)*(i + 1)/2
Determine p, given that 4*p**3 - 140*p**2 - 292*p - 148 = 0.
-1, 37
Find j such that 4*j**4 - 76*j**3 + 456*j**2 - 864*j = 0.
0, 4, 6, 9
Let 3*n**2 + 9*n - 54 = 0. What is n?
-6, 3
Suppose -4*l**4 - 36*l**3 - 56*l**2 + 96*l = 0. Calculate l.
-6, -4, 0, 1
Factor 3*c**4/2 - 9*c**3/2 - 45*c**2/2 - 51*c/2 - 9.
3*(c - 6)*(c + 1)**3/2
Find z such that 9*z**4 + 84*z**3 + 228*z**2 + 96*z - 192 = 0.
-4, -2, 2/3
Let -d**5 + 10*d**4 - 11*d**3 - 94*d**2 + 168*d = 0. What is d?
-3, 0, 2, 4, 7
Factor -25*g**4 + 155*g**3 - 230*g**2 + 40*g.
-5*g*(g - 4)*(g - 2)*(5*g - 1)
Let 2*g**3/7 + 128*g**2/7 - 536*g/7 + 544/7 = 0. What is g?
-68, 2
Factor -3*g**2 + 2004*g - 5985.
-3*(g - 665)*(g - 3)
Factor 2*p**4/5 - 6*p**3/5 + 4*p**2/5.
2*p**2*(p - 2)*(p - 1)/5
Determine c, given that -c**2 + 11*c = 0.
0, 11
Factor 3*s**3 + 12*s**2/5 - 3*s - 12/5.
3*(s - 1)*(s + 1)*(5*s + 4)/5
Find u such that -u**5/9 - 53*u**4/9 - 67*u**3/3 - 247*u**2/9 - 98*u/9 = 0.
-49, -2, -1, 0
Determine r, given that 8*r**4 + 20186*r**3/5 + 53268*r**2/5 + 5624*r + 4016/5 = 0.
-502, -2, -2/5, -1/4
Let -2*d**2 - 378*d - 1116 = 0. Calculate d.
-186, -3
Factor -2*p**3 - 376*p**2 - 744*p.
-2*p*(p + 2)*(p + 186)
Find b such that 4*b**2 + 28*b + 24 = 0.
-6, -1
Solve -50*p**5/13 + 680*p**4 - 385298*p**3/13 - 488092*p**2/13 + 573160*p/13 - 126736/13 = 0 for p.
-2, 2/5, 89
Factor f**4/4 + 17*f**3/2 + 87*f**2 + 495*f/2 + 675/4.
(f + 1)*(f + 3)*(f + 15)**2/4
Suppose 4*p**2/7 + 488*p/7 - 516 = 0. Calculate p.
-129, 7
Find k such that 3*k**2 + 1683*k - 5076 = 0.
-564, 3
Factor y**2/3 - 9*y - 160/3.
(y - 32)*(y + 5)/3
Factor -5618*o**3 + 18232*o**2/11 - 1470*o/11 + 36/11.
-2*(11*o - 2)*(53*o - 3)**2/11
Find c, given that -c**4 + 19*c**3 - 106*c**2 + 144*c = 0.
0,