w.
-11, -2, 0, 1, 2
Factor l**5 + 1803*l**4 + 1083602*l**3 + 217079998*l**2 - 1083603*l - 217081801.
(l - 1)*(l + 1)*(l + 601)**3
Find z, given that -z**4/5 - 23*z**3/5 + 76*z**2/5 - 52*z/5 = 0.
-26, 0, 1, 2
Let -20*h**4 - 8*h**3 + 7*h**2 + 3*h = 0. Calculate h.
-1/2, 0, 3/5
Factor v**3/5 + 63*v**2/5 + 36*v.
v*(v + 3)*(v + 60)/5
Determine o, given that -15*o**2 - 271*o - 18 = 0.
-18, -1/15
Factor d**4/8 - 2*d**3 + 23*d**2/4 + 18*d + 81/8.
(d - 9)**2*(d + 1)**2/8
Factor 2*m**2/9 - 712*m/9 + 63368/9.
2*(m - 178)**2/9
What is d in 35*d**4 - 109*d**3 + 8*d**2 + 12*d = 0?
-2/7, 0, 2/5, 3
Factor h**4/2 + 3*h**3/2 - 2*h.
h*(h - 1)*(h + 2)**2/2
What is d in 4*d**5/3 - 4*d**4 + 4*d**3 - 4*d**2/3 = 0?
0, 1
Find p such that -3*p**5/5 - 4*p**4 - 26*p**3/5 - 4*p**2/5 + p = 0.
-5, -1, 0, 1/3
Suppose 2*d**3/3 + 40*d**2/3 - 402*d + 2052 = 0. Calculate d.
-38, 9
Solve -2*c**4/9 - 260*c**3 - 682106*c**2/9 + 152360*c - 686792/9 = 0.
-586, 1
Solve 3*h**2/7 + 2526*h/7 - 2529/7 = 0.
-843, 1
Determine i, given that 2*i**5/9 + 28*i**4/9 + 46*i**3/3 + 272*i**2/9 + 160*i/9 = 0.
-5, -4, -1, 0
Factor -a**4 + 9*a**3 - 7*a**2 - 9*a + 8.
-(a - 8)*(a - 1)**2*(a + 1)
Solve 5*f**3 - 170*f**2 + 800*f + 12000 = 0 for f.
-6, 20
Suppose -3*l**5 - 216*l**4 + 1146*l**3 - 720*l**2 - 2079*l = 0. What is l?
-77, -1, 0, 3
Factor -r**4/2 - 35*r**3/2 + 37*r**2/2 + 35*r/2 - 18.
-(r - 1)**2*(r + 1)*(r + 36)/2
Let -4*d**5 + 96*d**4 - 740*d**3 + 2440*d**2 - 3456*d + 1664 = 0. Calculate d.
1, 2, 4, 13
Suppose k**3 - 180*k**2 + 9213*k - 96446 = 0. Calculate k.
14, 83
Factor -k**4 + 58*k**3 - 897*k**2 + 1624*k - 784.
-(k - 28)**2*(k - 1)**2
Factor -8*q**2/23 + 1238*q/23 + 310/23.
-2*(q - 155)*(4*q + 1)/23
Factor 2*p**2/7 - 3954*p/7 + 3952/7.
2*(p - 1976)*(p - 1)/7
Factor -2*i**2 + 68*i + 672.
-2*(i - 42)*(i + 8)
What is k in -5*k**4 + 130*k**3 - 360*k**2 + 350*k - 115 = 0?
1, 23
Factor -4*r**3 - 8*r**2 + 4*r + 8.
-4*(r - 1)*(r + 1)*(r + 2)
Determine t, given that 4*t**5 + 8*t**4 - 56*t**3 + 32*t**2 + 52*t - 40 = 0.
-5, -1, 1, 2
Factor -k**5 + 15*k**4 + 18*k**3 - 32*k**2.
-k**2*(k - 16)*(k - 1)*(k + 2)
Factor -4*d**5 - 36*d**4 - 60*d**3 + 100*d**2.
-4*d**2*(d - 1)*(d + 5)**2
What is y in -3*y**2 + 1152*y - 110592 = 0?
192
Factor -3*o**2 - 33*o - 30.
-3*(o + 1)*(o + 10)
Factor -d**2/5 + 12*d/5 - 36/5.
-(d - 6)**2/5
Factor -3*m**3 - 396*m**2 - 17424*m - 255552.
-3*(m + 44)**3
Factor -2*x**2/5 - 12*x/5 - 2.
-2*(x + 1)*(x + 5)/5
Determine g so that 2*g**4/3 - 20*g**3 - 130*g**2/3 + 20*g + 128/3 = 0.
-2, -1, 1, 32
Factor -4*z**5 + 96*z**4 + 432*z**3 + 448*z**2.
-4*z**2*(z - 28)*(z + 2)**2
Factor -3*g**3 + 9*g**2.
-3*g**2*(g - 3)
Find q, given that 3*q**4/7 - 174*q**3/7 - 765*q**2/7 + 1272*q/7 + 1860/7 = 0.
-5, -1, 2, 62
Solve -5*o**4 - 10*o**3 - 5*o**2 = 0 for o.
-1, 0
Find a such that 175*a**2 + 110*a - 480 = 0.
-2, 48/35
Solve -p**3 + 59*p**2 - 1127*p + 6877 = 0 for p.
13, 23
Factor -17*s**3/3 - 7*s**2 - 4*s/3.
-s*(s + 1)*(17*s + 4)/3
Suppose 2*g**3/5 - 12*g**2/5 + 24*g/5 - 16/5 = 0. Calculate g.
2
Factor -l**5 - 7*l**4 - 2*l**3 + 64*l**2 + 96*l.
-l*(l - 3)*(l + 2)*(l + 4)**2
Determine q so that 3*q**4/2 - 36*q**3 + 123*q**2/2 + 99*q = 0.
-1, 0, 3, 22
Factor b**4/2 - 9*b**3 + 25*b**2/2 + 54*b + 32.
(b - 16)*(b - 4)*(b + 1)**2/2
Let 2*v**3/13 + 36*v**2/13 + 154*v/13 + 120/13 = 0. What is v?
-12, -5, -1
Solve -428*b**4 - 424*b**3 + 4*b**2 = 0 for b.
-1, 0, 1/107
Solve 6*k**2/5 + 4*k + 6/5 = 0.
-3, -1/3
Factor 2*k**2/11 + 56*k/11 + 54/11.
2*(k + 1)*(k + 27)/11
Solve -m**5/4 + m**4/2 + 35*m**3/4 - 18*m**2 + 9*m = 0.
-6, 0, 1, 6
Let -324*f**3/7 - 1116*f**2/7 - 64*f - 48/7 = 0. What is f?
-3, -2/9
Factor 5*g**4 - 95*g**3 + 630*g**2 - 1620*g + 1080.
5*(g - 6)**3*(g - 1)
Factor 12*d**3/5 - 32*d**2/5 + 4*d.
4*d*(d - 1)*(3*d - 5)/5
Factor j**2/4 - 761*j/4 - 763/2.
(j - 763)*(j + 2)/4
Let -3*a**4 + 2892*a**3 - 1045458*a**2 + 167970252*a - 10120207683 = 0. What is a?
241
What is u in -5*u**5 + 35*u**4 - 80*u**3 + 60*u**2 = 0?
0, 2, 3
Factor 2*g**3/5 + 4*g**2 + 26*g/5 - 48/5.
2*(g - 1)*(g + 3)*(g + 8)/5
Find i, given that -3*i**5 + 12*i**4 - 12*i**3 = 0.
0, 2
Suppose 700*c**4 + 5385*c**3 + 3190*c**2 - 1425*c + 70 = 0. What is c?
-7, -1, 2/35, 1/4
Determine j, given that -5*j**3 - 321*j**2 - 5184*j - 1024 = 0.
-32, -1/5
Let 2*j**5/3 - 14*j**4/3 - 226*j**3/3 - 70*j**2 = 0. Calculate j.
-7, -1, 0, 15
Suppose -3*y**2/7 - 624*y/7 - 32448/7 = 0. Calculate y.
-104
Factor 3*n**4/2 - 22*n**3 + 87*n**2 - 90*n - 81/2.
(n - 9)*(n - 3)**2*(3*n + 1)/2
Let -87*i**2/5 + 66*i + 72/5 = 0. What is i?
-6/29, 4
Factor -5*s**4/3 + 55*s**3/3 - 25*s**2 - 875*s/3 + 2500/3.
-5*(s - 5)**3*(s + 4)/3
Find a, given that -2*a**3/5 - 18*a**2/5 + 44*a/5 + 48 = 0.
-10, -3, 4
Factor -2*t**2/3 + 464*t - 80736.
-2*(t - 348)**2/3
Find g such that -3*g**3 - 609*g**2 - 31800*g - 90000 = 0.
-100, -3
Factor k**4 + 266*k**3 + 17140*k**2 - 74250*k - 91125.
(k - 5)*(k + 1)*(k + 135)**2
Determine p so that -4*p**5/7 + 376*p**4/7 - 720*p**3/7 - 1480*p**2/7 + 724*p/7 + 1104/7 = 0.
-1, 1, 3, 92
Solve 328*v**5 - 324*v**4 - 1316*v**3 + 1296*v**2 + 16*v = 0.
-2, -1/82, 0, 1, 2
Solve 245*j**4/6 - 40495*j**3/3 + 34490*j**2 - 49220*j/3 + 6560/3 = 0.
2/7, 2, 328
Solve -12*m**3 + 292*m**2 + 3368*m + 2112 = 0 for m.
-8, -2/3, 33
Solve 2*o**4 - 50*o**3 + 298*o**2 - 454*o + 204 = 0.
1, 6, 17
Factor 3*f**3/4 - 3*f**2/2 - 21*f/4 - 3.
3*(f - 4)*(f + 1)**2/4
Factor -33*j**4 - 84*j**3 - 69*j**2 - 18*j.
-3*j*(j + 1)**2*(11*j + 6)
Solve -2*r**4 + 2*r**3 + 14*r**2 - 26*r + 12 = 0 for r.
-3, 1, 2
Solve q**2/3 - 134*q/3 + 880 = 0 for q.
24, 110
Solve 3*f**2 + 390*f + 768 = 0.
-128, -2
Suppose 2*p**4 + 11*p**3 - 7*p**2 - 51*p + 45 = 0. Calculate p.
-5, -3, 1, 3/2
Factor 3*a**2/2 + 579*a/2 - 291.
3*(a - 1)*(a + 194)/2
Factor -f**2/3 + 3*f - 6.
-(f - 6)*(f - 3)/3
Factor -q**2/4 + 5*q/2 - 6.
-(q - 6)*(q - 4)/4
Solve -3*z**3 + 21*z**2 = 0.
0, 7
What is t in t**2 - 13*t + 40 = 0?
5, 8
Factor 2*f**4/9 + 22*f**3/9 + 52*f**2/9 + 32*f/9.
2*f*(f + 1)*(f + 2)*(f + 8)/9
Solve -l**2/4 + 105*l/4 + 107/2 = 0.
-2, 107
Factor -r**2 - 94*r + 291.
-(r - 3)*(r + 97)
Solve -2*u**5 + 6232*u**4/9 - 540088*u**3/9 + 37828*u**2/3 + 540106*u/9 - 119716/9 = 0.
-1, 2/9, 1, 173
Factor 5*m**5 + 940*m**4 + 45105*m**3 + 86490*m**2.
5*m**2*(m + 2)*(m + 93)**2
Factor m**2/5 - 4/5.
(m - 2)*(m + 2)/5
Determine x, given that -2*x**5 - 8*x**4 = 0.
-4, 0
Suppose 10206*t**5/11 - 45252*t**4/11 + 18200*t**3/11 - 1968*t**2/11 + 64*t/11 = 0. What is t?
0, 2/27, 2/7, 4
Suppose -h**2/3 + 428*h/3 = 0. What is h?
0, 428
Determine m, given that 4*m**3 + 52*m**2 - 436*m + 380 = 0.
-19, 1, 5
Factor -4*y**2 + 4*y.
-4*y*(y - 1)
Factor -75*s**3/4 - 285*s**2 + 237*s - 48.
-3*(s + 16)*(5*s - 2)**2/4
Let b**3 - 218*b**2 + 432*b = 0. Calculate b.
0, 2, 216
Find a such that -6*a**5/5 - 51*a**4/5 + 249*a**3/5 - 84*a**2/5 - 108*a + 432/5 = 0.
-12, -3/2, 1, 2
Factor c**5/3 - c**4/3 - c**3 + c**2/3 + 2*c/3.
c*(c - 2)*(c - 1)*(c + 1)**2/3
Suppose 3*a**2 + 150*a + 1848 = 0. Calculate a.
-28, -22
Factor -k**2/5 + 19*k/5 - 34/5.
-(k - 17)*(k - 2)/5
Factor 244*c**2 - 238*c - 6.
2*(c - 1)*(122*c + 3)
Factor -16*x**2 + 340*x - 84.
-4*(x - 21)*(4*x - 1)
Solve -5*d**2 + 1050*d - 55125 = 0.
105
Factor -2*m**3/5 - 4*m**2/5 + 2*m/5 + 4/5.
-2*(m - 1)*(m + 1)*(m + 2)/5
Find n such that -4*n**5 - 60*n**4 - 192*n**3 + 256*n**2 = 0.
-8, 0, 1
Factor 8*r**3 + 750*r**2 - 17400*r + 91000.
2*(r - 10)**2*(4*r + 455)
Factor -j**3 + 18*j**2 + 192*j + 416.
-(j - 26)*(j + 4)**2
Find n such that -36*n**3/7 - 10*n**2 - 32*n/7 + 2/7 = 0.
-1, 1/18
Suppose -4*q**3/7 - 132*q**2/7 - 936*q/7 + 2432/7 = 0. Calculate q.
-19, -16, 2
Determine h so that -8*h**5 - 580*h**4 + 892*h**3 + 284*h**2 - 884*h + 296 = 0.
-74, -1, 1/2, 1
Determine p, given that 2*p**3 + 8*p**2 - 78*p + 108 = 0.
-9, 2, 3
Factor 308*d**3 + 324*d**2 + 16*d.
4*d*(d + 1)*(77*d + 4)
Factor -21*f**3 + 501*f**2 + 597*f + 75.
-3*(f - 25)*(f + 1)*(7*f + 1)
Factor 2*p**2 - 732*p + 66978.
2*(p - 183)**2
What is k in 4*k**5 - 20*k**4 - 28*k**3 + 20*k**2 + 24*k = 0?
-1, 0, 1, 6
Determine d so that 2*d**5 - 76*d**4 + 972*d**3 - 4896*d**2 + 10530*d - 8100 = 0.
2, 3, 15
Solve -z**3/7 + 12*z**2/7 - 5*z = 0.
0, 5, 7
Solve 2*c**4/21 + 130*c**3/21 + 1604*c**2/21 - 5568*c/7 + 8640/7 = 0 for c.
-36, 2, 5
Find t such that -t**5