o that 25*t**4/4 - 15*t**3 - 305*t**2/4 - 30*t + 25 = 0.
-2, -1, 2/5, 5
Factor 5*u**3 - 130*u**2 + 695*u - 570.
5*(u - 19)*(u - 6)*(u - 1)
Factor -4*m**4 + 36*m**3 + 83*m**2 + 54*m + 11.
-(m - 11)*(m + 1)*(2*m + 1)**2
Find x, given that -8*x**5 + 92*x**4/5 - 12*x**3 + 4*x**2/5 + 4*x/5 = 0.
-1/5, 0, 1/2, 1
Factor j**5 - 11*j**4 - 55*j**3 - 73*j**2 - 30*j.
j*(j - 15)*(j + 1)**2*(j + 2)
Let 14*w**5/5 - 304*w**4/5 + 472*w**3/5 + 32*w**2 = 0. What is w?
-2/7, 0, 2, 20
Factor j**5/3 - j**4 - 4*j**3/3 + 4*j**2.
j**2*(j - 3)*(j - 2)*(j + 2)/3
Factor -2*q**3/5 - 4*q**2/5 + 16*q/5.
-2*q*(q - 2)*(q + 4)/5
Factor 4*p**5 + 32*p**4 + 100*p**3 + 152*p**2 + 112*p + 32.
4*(p + 1)**2*(p + 2)**3
Determine l so that -5*l**3 + 15*l**2 + 20*l - 60 = 0.
-2, 2, 3
Factor 4*g**2/3 + 28*g/3 + 40/3.
4*(g + 2)*(g + 5)/3
Solve z**2/6 - 295*z/6 + 146 = 0 for z.
3, 292
Solve u**4/4 - 7*u**3/4 - 3*u**2/4 + 19*u/4 + 7/2 = 0.
-1, 2, 7
Factor 4*a**2/9 - 524*a/3.
4*a*(a - 393)/9
Factor 2*a**4 + 8*a**3 + 12*a**2 + 8*a + 2.
2*(a + 1)**4
What is l in -4*l**5/5 + 4*l**4/5 + 116*l**3/5 - 116*l**2/5 - 544*l/5 - 64 = 0?
-5, -1, 4
Find s, given that 3*s**5 - 171*s**4/2 + 207*s**3/2 + 993*s**2/2 - 549*s/2 - 243 = 0.
-2, -1/2, 1, 3, 27
Factor a**5 - 4*a**4/3 + a**3/3.
a**3*(a - 1)*(3*a - 1)/3
Solve -78*w**4/23 + 1210*w**3/23 - 4388*w**2/23 - 2368*w/23 - 256/23 = 0.
-1/3, -2/13, 8
Factor p**5/7 - p**4/7 - 4*p**3/7 + 4*p**2/7.
p**2*(p - 2)*(p - 1)*(p + 2)/7
Factor 3*b**3 - 66*b**2 - 225*b.
3*b*(b - 25)*(b + 3)
Let 22*i**2/15 - 6*i + 24/5 = 0. What is i?
12/11, 3
Let -2*y**3/3 + 142*y**2/3 - 946*y + 3630 = 0. What is y?
5, 33
Factor 4*p**2 - 7544*p + 7540.
4*(p - 1885)*(p - 1)
Suppose 15*g**3 + 5*g**2 - 310*g + 200 = 0. Calculate g.
-5, 2/3, 4
Let t**2/3 - 444*t = 0. What is t?
0, 1332
Factor h**3 - 16*h**2 - h + 16.
(h - 16)*(h - 1)*(h + 1)
Factor -v**4/3 - 23*v**3 + 47*v**2 - 71*v/3.
-v*(v - 1)**2*(v + 71)/3
Find i, given that 4*i**5 - 4*i**4 - 20*i**3 + 20*i**2 + 16*i - 16 = 0.
-2, -1, 1, 2
Suppose -20480*w**4 - 36608*w**3 + 10060*w**2 + 2784*w + 144 = 0. What is w?
-2, -3/32, 2/5
Factor -f**3/8 + 3*f**2/4 - 9*f/8 + 1/2.
-(f - 4)*(f - 1)**2/8
Solve -59*i**2/10 - 171*i/10 + 9/5 = 0 for i.
-3, 6/59
Let -2*f**2/3 - 40*f/3 = 0. Calculate f.
-20, 0
Find l, given that 4*l**3 + 232*l**2 + 3364*l = 0.
-29, 0
Find h, given that 5*h**3 + 35*h**2 - 20*h - 140 = 0.
-7, -2, 2
Find r such that 3*r**4/7 + 36*r**3/7 + 30*r**2/7 - 36*r/7 - 33/7 = 0.
-11, -1, 1
Let -3*j**4 + 123*j**3 + 150*j**2 - 972*j - 1512 = 0. Calculate j.
-2, 3, 42
Factor -30*f**3 + 26*f**2 + 56*f.
-2*f*(f + 1)*(15*f - 28)
Factor 2*a**3/9 + 4*a**2/3 + 8*a/3 + 16/9.
2*(a + 2)**3/9
Factor -q**2/5 + 7*q/5 + 8/5.
-(q - 8)*(q + 1)/5
Solve -r**5 + 21*r**3 - 20*r**2 = 0 for r.
-5, 0, 1, 4
What is d in -d**4/4 + 5*d**3/2 - 5*d**2/4 - 10*d + 9 = 0?
-2, 1, 2, 9
Let 2*z**2/11 + 4*z - 96/11 = 0. Calculate z.
-24, 2
Solve -2*h**3/5 - 6*h**2 - 76*h/5 - 48/5 = 0 for h.
-12, -2, -1
Solve c**3/2 + 262*c**2 + 1045*c/2 + 261 = 0 for c.
-522, -1
Factor 2*u**3/9 + 44*u**2/3 + 130*u/9.
2*u*(u + 1)*(u + 65)/9
Factor -3*m**2/5 + 58*m/5 + 8.
-(m - 20)*(3*m + 2)/5
Factor 14*z**3/3 - 598*z**2/3 + 416*z/3 + 56.
2*(z - 42)*(z - 1)*(7*z + 2)/3
Factor 33*l**2/5 + 285*l + 258/5.
3*(l + 43)*(11*l + 2)/5
Determine i, given that -2*i**4/3 + 16*i**3 - 194*i**2/3 + 20*i + 304/3 = 0.
-1, 2, 4, 19
Factor 20*x**2 + 795*x - 815.
5*(x - 1)*(4*x + 163)
Determine i so that -5*i**5 + 175*i**4 - 1185*i**3 + 2945*i**2 - 3010*i + 1080 = 0.
1, 2, 4, 27
Factor f**2 - 2*f - 63.
(f - 9)*(f + 7)
Determine i, given that 8*i**5/3 - 56*i**4 - 1438*i**3/3 - 1180*i**2 - 2800*i/3 = 0.
-5/2, -2, 0, 28
Factor -3*m**3/4 + 9657*m**2/4 - 1941660*m - 1944075.
-3*(m - 1610)**2*(m + 1)/4
Solve -3*q**4/2 + 18*q**3 + 39*q**2/2 = 0 for q.
-1, 0, 13
Solve -2*h**5/13 + 1046*h**4/13 - 183734*h**3/13 + 11077882*h**2/13 - 42140032*h/13 + 41421736/13 = 0.
2, 173
Determine d so that d**3/2 - 9*d**2/2 + 11*d/2 + 21/2 = 0.
-1, 3, 7
Factor 2*o**5 - 32*o**4 - 408*o**3 - 1012*o**2 - 938*o - 300.
2*(o - 25)*(o + 1)**3*(o + 6)
Factor 20*a**3 - 2560*a**2 + 2545*a - 635.
5*(a - 127)*(2*a - 1)**2
Factor -4*p**4 + 1096*p**3 - 75076*p**2.
-4*p**2*(p - 137)**2
Factor -o**3 + 228*o**2 - 453*o + 226.
-(o - 226)*(o - 1)**2
Determine b, given that 2*b**4 + 6*b**3 - 8*b**2 = 0.
-4, 0, 1
Factor -2*v**2 - 212*v - 210.
-2*(v + 1)*(v + 105)
Factor 28*n**5 + 692*n**4 + 5848*n**3 + 17984*n**2 + 8704*n - 4096.
4*(n + 1)*(n + 8)**3*(7*n - 2)
Factor -2*g**3/5 + 82*g**2/5 - 190*g + 2166/5.
-2*(g - 19)**2*(g - 3)/5
Solve -6*d**3 + 158*d**2/3 - 108*d - 80/3 = 0.
-2/9, 4, 5
Let -t**2/5 + 21*t/5 - 54/5 = 0. What is t?
3, 18
Factor 2*g**2/7 - 32*g/7 + 8.
2*(g - 14)*(g - 2)/7
Factor -z**2/2 - 235*z - 55225/2.
-(z + 235)**2/2
Suppose -6*t**5 - 27*t**4 + 6*t**3 + 117*t**2 + 54*t = 0. What is t?
-3, -1/2, 0, 2
Determine k, given that -5*k**4 - 145*k**3 + 2985*k**2 + 84645*k - 87480 = 0.
-27, 1, 24
Let p**3 - 72*p**2 + 71*p = 0. Calculate p.
0, 1, 71
Determine k so that 2*k**2 - 60*k + 450 = 0.
15
Let -9*x**5/5 + 79*x**4/5 - 9*x**3 - 19*x**2 + 54*x/5 + 16/5 = 0. What is x?
-1, -2/9, 1, 8
Factor -10*o**3 - 1214*o**2 - 484*o.
-2*o*(o + 121)*(5*o + 2)
Find t such that -24*t**5/5 - 184*t**4/5 - 1394*t**3/15 - 1156*t**2/15 = 0.
-17/6, -2, 0
Factor -5*p**2 - 165*p - 310.
-5*(p + 2)*(p + 31)
Factor -2*q**2/3 - 172*q/3 - 3698/3.
-2*(q + 43)**2/3
Determine z, given that -2*z**4/9 - 26*z**3/9 + 10*z**2/3 + 26*z/9 - 28/9 = 0.
-14, -1, 1
What is g in -87*g**2/7 - 177*g/7 - 6/7 = 0?
-2, -1/29
Solve -u**2 - 6*u + 112 = 0.
-14, 8
Let -u**2/2 + 81/2 = 0. Calculate u.
-9, 9
Let -2*x**5/5 + 2*x**4/5 + 8*x**3/5 - 8*x**2/5 = 0. Calculate x.
-2, 0, 1, 2
Determine h so that 2*h**3 + 16*h**2 + 32*h = 0.
-4, 0
Let -4*o**4 - 448*o**3 + 1876*o**2 + 2320*o = 0. Calculate o.
-116, -1, 0, 5
Let -6*c**2/7 + 18672*c/7 - 14526816/7 = 0. Calculate c.
1556
What is u in 130*u**2/11 + 126*u/11 - 4/11 = 0?
-1, 2/65
What is b in 4*b**3 - 80*b**2 + 132*b + 216 = 0?
-1, 3, 18
Factor -l**2/3 - 2*l/3 + 1.
-(l - 1)*(l + 3)/3
Determine i so that -i**4 - 9*i**3 - 21*i**2 + i + 30 = 0.
-5, -3, -2, 1
Factor -4*h**2 + 184*h/3 - 172/3.
-4*(h - 1)*(3*h - 43)/3
Factor h**3 + 13*h**2 + 55*h + 75.
(h + 3)*(h + 5)**2
Factor 2*o**4/9 + 2*o**3/9 - 4*o**2/3.
2*o**2*(o - 2)*(o + 3)/9
Find t such that t**2/3 + 5*t/3 - 2 = 0.
-6, 1
Let 3*a**4/2 + 48*a**3 - 57*a**2 - 252*a - 297/2 = 0. What is a?
-33, -1, 3
Factor -d**5/7 - 6*d**4/7 - 8*d**3/7 + 2*d**2/7 + 9*d/7 + 4/7.
-(d - 1)*(d + 1)**3*(d + 4)/7
Determine m so that 2*m**2/13 + 262*m/13 + 1500/13 = 0.
-125, -6
Factor v**2/2 + 35*v/2 - 18.
(v - 1)*(v + 36)/2
Let q**3/6 - 13*q**2/6 + 5*q/3 + 4 = 0. What is q?
-1, 2, 12
Solve 5*s**2/2 + 13*s/2 + 4 = 0 for s.
-8/5, -1
Factor n**2/7 + 186*n/7 + 185/7.
(n + 1)*(n + 185)/7
Factor x**3/3 - 7*x**2/3 - 14*x/3 + 16.
(x - 8)*(x - 2)*(x + 3)/3
Find d, given that -4*d**3 - 28*d**2 - 48*d = 0.
-4, -3, 0
Factor -d**2/4 + 91*d/4 + 795/2.
-(d - 106)*(d + 15)/4
Factor 16*f**4 - 148*f**3 + 420*f**2 - 352*f + 64.
4*(f - 4)**2*(f - 1)*(4*f - 1)
Factor 2*a**3 - 8*a**2 - 10*a.
2*a*(a - 5)*(a + 1)
Factor -3*s**3/7 - 27*s**2/7.
-3*s**2*(s + 9)/7
Factor -35*t**3 + 235*t**2 + 70*t.
-5*t*(t - 7)*(7*t + 2)
Factor i**3 + 43*i**2 - 2717*i + 29241.
(i - 19)**2*(i + 81)
Solve w**2/4 + 11*w/2 + 57/4 = 0.
-19, -3
Find j, given that -2*j**5 + 38*j**4/5 + 16*j**3/5 - 32*j**2/5 = 0.
-1, 0, 4/5, 4
Let 3*o**4 + 6*o**3 - 189*o**2 = 0. What is o?
-9, 0, 7
Factor 32*l**3 + 284*l**2 + 624*l.
4*l*(l + 4)*(8*l + 39)
Factor -k**4/2 + 4*k**3 - 23*k**2/2 + 14*k - 6.
-(k - 3)*(k - 2)**2*(k - 1)/2
Factor 2*z**4/3 + 10*z**3 - 76*z**2 + 488*z/3 - 112.
2*(z - 2)**3*(z + 21)/3
Find m such that 13*m**3 - 15*m**2 + 2*m = 0.
0, 2/13, 1
Determine x so that 3*x**3/4 + 3*x**2 + 3*x = 0.
-2, 0
Factor -a**3/3 - 16*a**2 - 255*a - 4046/3.
-(a + 14)*(a + 17)**2/3
Let 676*f**4 - 1404*f**3 - 376*f**2 + 816*f + 288 = 0. What is f?
-6/13, 1, 2
Factor 3*m**2 - 3.
3*(m - 1)*(m + 1)
Determine w, given that 4*w**5 + 96*w**4 + 660*w**3 + 968*w**2 = 0.
-11, -2, 0
Let -2*y**5/9 - 94*y**4/9 - 1334*y**3/9 - 3298*y**2/9 + 32368*y/9 - 39304/9 = 0. What is y?
-17, 2
Factor -3*o**3 + 318*o**2 + 1989*o + 3024.
-3*(o - 112)*(o + 3)**2
Factor -2*n**5 - 4*n**4 + 6*n**3 + 8*n**2 - 8*n.
-2