iven that -250*b**4 + 675*b**3 - 90*b**2 - 460*b - 120 = 0.
-2/5, 3/2, 2
Factor 3*j**5 + 6*j**4 - 12*j**3 - 6*j**2 + 9*j.
3*j*(j - 1)**2*(j + 1)*(j + 3)
Find i such that -3*i**3/2 + 15*i**2 - 69*i/2 + 21 = 0.
1, 2, 7
Suppose -16*c**3 - 7964*c**2 - 5960*c + 1988 = 0. Calculate c.
-497, -1, 1/4
Factor -3*l**3/5 - 18*l**2/5 + 363*l/5 + 378/5.
-3*(l - 9)*(l + 1)*(l + 14)/5
Solve f**3 - 108*f**2 + 3120*f - 10816 = 0.
4, 52
Factor -3*y**4/4 - 237*y**3 - 18723*y**2.
-3*y**2*(y + 158)**2/4
What is v in -2*v**4 - 38*v**3 - 216*v**2 - 256*v + 512 = 0?
-8, -4, 1
Factor -2*d**3 + 52*d**2 - 336*d.
-2*d*(d - 14)*(d - 12)
Factor f**5 + 8*f**4 - 48*f**3.
f**3*(f - 4)*(f + 12)
Factor -4*f**3 - 212*f**2 + 240*f + 1296.
-4*(f - 3)*(f + 2)*(f + 54)
Factor -l**3/5 + 189*l**2/5 - 9384*l/5 + 8464.
-(l - 92)**2*(l - 5)/5
Factor 2*b**2/5 + 158*b/5.
2*b*(b + 79)/5
Suppose -2*z**2/9 + 14*z/9 + 40/3 = 0. Calculate z.
-5, 12
Suppose -f**4/5 - 13*f**3/5 - 6*f**2 + 4*f/5 + 8 = 0. What is f?
-10, -2, 1
What is h in h**4 + 13*h**3 + 39*h**2 + 27*h = 0?
-9, -3, -1, 0
Find s, given that -4*s**4/7 - 40*s**3/7 + 384*s**2/7 = 0.
-16, 0, 6
Let -c**2/2 + 113*c/2 - 56 = 0. Calculate c.
1, 112
Factor 2*y**3 + 36*y**2 - 168*y + 176.
2*(y - 2)**2*(y + 22)
Solve -5*u**2 + 85*u - 260 = 0 for u.
4, 13
Find t, given that -595*t**2 - 2378*t + 8 = 0.
-4, 2/595
Factor -x**2/3 + 520*x/3 + 521/3.
-(x - 521)*(x + 1)/3
Solve -5*i**3/4 + 43*i**2/4 + 19*i - 15 = 0.
-2, 3/5, 10
Factor -2*c**4 + 24*c**3 + 86*c**2 + 60*c.
-2*c*(c - 15)*(c + 1)*(c + 2)
Determine s so that -4*s**4 + 40*s**3 - 68*s**2 - 112*s = 0.
-1, 0, 4, 7
What is q in 3*q**5 - 12*q**4 - 33*q**3 - 18*q**2 = 0?
-1, 0, 6
Determine i, given that i**5 + 9*i**4 + 30*i**3 + 46*i**2 + 33*i + 9 = 0.
-3, -1
Suppose -4*v**3 - 440*v**2 + 1348*v - 904 = 0. Calculate v.
-113, 1, 2
Suppose 21*g**2 + 225*g - 66 = 0. What is g?
-11, 2/7
Find i such that i**3/3 + 53*i**2 + 1490*i/3 = 0.
-149, -10, 0
Determine g, given that -3*g**4/7 - 15*g**3/7 - 18*g**2/7 + 12*g/7 + 24/7 = 0.
-2, 1
Factor 2*w**3/9 - 956*w**2/9 - 9710*w/9 - 24400/9.
2*(w - 488)*(w + 5)**2/9
Factor -u**3/4 + 5*u**2/2 - 11*u/4 - 35/2.
-(u - 7)*(u - 5)*(u + 2)/4
Factor -2*c**3 + 110*c**2 - 1566*c + 1458.
-2*(c - 27)**2*(c - 1)
Solve 2*o**2 + 1808*o + 1806 = 0 for o.
-903, -1
Find i, given that -40*i**3 - 241*i**2/2 - 163*i/2 - 1 = 0.
-2, -1, -1/80
Factor -r**2/5 - 12*r/5 + 28/5.
-(r - 2)*(r + 14)/5
Factor -3*i**3 + 9*i**2 + 12*i.
-3*i*(i - 4)*(i + 1)
Find g, given that -6*g**2/5 + 66*g + 336/5 = 0.
-1, 56
Factor -2*t**3/3 - 156*t**2 - 8968*t + 55696/3.
-2*(t - 2)*(t + 118)**2/3
Factor -77*k**2/3 + 52*k - 4/3.
-(k - 2)*(77*k - 2)/3
Solve -4*m**2/9 + 4*m = 0.
0, 9
Suppose 2*t**2/9 + 20*t/9 - 38 = 0. What is t?
-19, 9
Solve 2*s**4 + 102*s**3/5 - 314*s**2/5 - 894*s/5 - 488/5 = 0 for s.
-61/5, -1, 4
Factor 2*r**3 + 238*r**2 - 484*r.
2*r*(r - 2)*(r + 121)
Suppose -18*x**5 - 482*x**4 - 1170*x**3 + 770*x**2 + 1188*x - 288 = 0. What is x?
-24, -3, -1, 2/9, 1
Solve f**4/5 - 18*f**3/5 - 87*f**2/5 - 28*f/5 + 132/5 = 0 for f.
-3, -2, 1, 22
Suppose -u**2 + 108*u - 107 = 0. What is u?
1, 107
Find b, given that 5*b**4 + 225*b**3 + 1995*b**2 - 30685*b - 411540 = 0.
-19, 12
Determine o, given that 2*o**5 + 3118*o**4 + 1216796*o**3 + 1210564*o**2 - 1216798*o - 1213682 = 0.
-779, -1, 1
Let 2*w**5/3 - 28*w**4/3 - 44*w**3 - 208*w**2/3 - 142*w/3 - 12 = 0. What is w?
-1, 18
Factor s**5 - 33*s**4 + 362*s**3 - 1298*s**2 - 363*s + 1331.
(s - 11)**3*(s - 1)*(s + 1)
Find a such that 4*a**5 + 307*a**4/7 + 1079*a**3/7 + 1199*a**2/7 - 123*a/7 - 90/7 = 0.
-5, -3, -1/4, 2/7
Determine w so that w**2/2 + 11*w/2 - 13 = 0.
-13, 2
Let 19*j**5 + 99*j**4 - 94*j**3 - 24*j**2 = 0. What is j?
-6, -4/19, 0, 1
Factor 5*b**2 - 65*b + 60.
5*(b - 12)*(b - 1)
Solve -45*c**2 + 25*c + 20 = 0 for c.
-4/9, 1
Let -5*s**2 + 175*s + 2530 = 0. Calculate s.
-11, 46
Factor -a**2 - 36*a - 324.
-(a + 18)**2
Factor l**5 - l**4 - 53*l**3 + 17*l**2 + 520*l - 700.
(l - 7)*(l - 2)**2*(l + 5)**2
Factor 3*r**4 + 21*r**3 + 18*r**2.
3*r**2*(r + 1)*(r + 6)
Let 4*i**2 + 428*i = 0. Calculate i.
-107, 0
Factor -5*b**2 - 65*b + 70.
-5*(b - 1)*(b + 14)
Factor 14*t**4 - 48*t**3 - 38*t**2 + 24*t.
2*t*(t - 4)*(t + 1)*(7*t - 3)
Let z**2 + 90*z + 656 = 0. What is z?
-82, -8
Determine r so that -2*r**3/3 + 4*r**2/3 + 62*r/3 + 56/3 = 0.
-4, -1, 7
Determine i, given that -5*i**2 - 130*i - 240 = 0.
-24, -2
Suppose -3*z**3/7 + 216*z**2/7 + 669*z/7 + 450/7 = 0. What is z?
-2, -1, 75
Let 5*v**2/3 - 101*v - 122/3 = 0. Calculate v.
-2/5, 61
Factor 3*h**3/7 + 96*h**2/7 + 960*h/7 + 3072/7.
3*(h + 8)**2*(h + 16)/7
Find d, given that 25*d**2/8 - 105*d/4 + 441/8 = 0.
21/5
Solve 2*i**3/11 + 4*i**2/11 - 26*i/11 + 20/11 = 0 for i.
-5, 1, 2
Find o such that o**4/3 + 4*o**3/3 - o**2/3 - 4*o/3 = 0.
-4, -1, 0, 1
Let h**4 - 72*h**2 - 256*h - 240 = 0. What is h?
-6, -2, 10
Find p, given that -5*p**4 - 10*p**3 + 20*p**2 + 10*p - 15 = 0.
-3, -1, 1
Factor -h**4/2 - 16*h**3 - 183*h**2/2 - 92*h + 200.
-(h - 1)*(h + 4)**2*(h + 25)/2
Suppose 4*t**4 - 24*t**3 - 28*t**2 = 0. Calculate t.
-1, 0, 7
Factor 2*v**3/3 - 8960*v**2/3 + 10035200*v/3.
2*v*(v - 2240)**2/3
Factor -5*r**3 + 260*r**2 - 3625*r + 6250.
-5*(r - 25)**2*(r - 2)
Factor 2*d**3/9 - 4*d**2/3 + 10*d/9 + 8/3.
2*(d - 4)*(d - 3)*(d + 1)/9
Let -2*s**2/3 - 156*s - 928/3 = 0. What is s?
-232, -2
What is m in -m**3/3 - 2*m**2/3 + 23*m/3 + 20 = 0?
-4, -3, 5
Let -a**2/3 - 128*a/3 - 2332/3 = 0. What is a?
-106, -22
Let -4*o**5/7 - 19*o**4/7 - 11*o**3/7 + 4*o**2/7 = 0. What is o?
-4, -1, 0, 1/4
Solve 2*s**5/13 - 4*s**4/13 - 2*s**3 - 20*s**2/13 = 0 for s.
-2, -1, 0, 5
Solve 2*d**2/15 - 556*d/15 + 38642/15 = 0 for d.
139
Let -2*o**4/7 - 72*o**3/7 - 132*o**2 - 4840*o/7 - 7986/7 = 0. What is o?
-11, -3
Factor -4*s**4 - 1936*s**3 - 1932*s**2.
-4*s**2*(s + 1)*(s + 483)
Factor -5*c**2 - 3040*c - 462080.
-5*(c + 304)**2
Suppose -3*q**3/2 + 6*q**2 - 15*q/2 + 3 = 0. Calculate q.
1, 2
Let -5*f**2 + 275*f + 1500 = 0. What is f?
-5, 60
Factor t**4 + 97*t**3 - t**2 - 97*t.
t*(t - 1)*(t + 1)*(t + 97)
Factor 9*n**2/2 - 465*n + 24025/2.
(3*n - 155)**2/2
Factor -5*c**2 + 645*c - 1270.
-5*(c - 127)*(c - 2)
Determine a, given that -3*a**5 + 31*a**4/4 - 7*a**3/4 - 4*a**2 + a = 0.
-2/3, 0, 1/4, 1, 2
Solve i**2/2 + 29*i/2 + 104 = 0 for i.
-16, -13
Let -3*a**5 - 23*a**4 + 161*a**3 + 3*a**2 - 666*a + 216 = 0. Calculate a.
-12, -2, 1/3, 3
Let 4*s**4 + 80*s**3 + 400*s**2 = 0. Calculate s.
-10, 0
Factor -2*p**3/3 + 8*p**2/3 + 14*p/3 - 20/3.
-2*(p - 5)*(p - 1)*(p + 2)/3
Factor -m**3/5 + 43*m**2/5 - 611*m/5 + 2873/5.
-(m - 17)*(m - 13)**2/5
Factor -75*k**5/4 - 30*k**4 - 12*k**3.
-3*k**3*(5*k + 4)**2/4
Factor -t**3/4 + 15*t**2/4 - 31*t/2 + 12.
-(t - 8)*(t - 6)*(t - 1)/4
Factor 2*p**3/3 - 104*p**2.
2*p**2*(p - 156)/3
Factor n**5/2 - 9*n**4 + 33*n**3/2 - 8*n**2.
n**2*(n - 16)*(n - 1)**2/2
What is c in -12*c**5 - 77*c**4 + 152*c**3 - 9*c**2 - 70*c + 16 = 0?
-8, -2/3, 1/4, 1
Determine m so that -2*m**5 - 44*m**4 - 128*m**3 + 1396*m**2 + 130*m - 1352 = 0.
-13, -1, 1, 4
What is n in -3*n**3/4 - 57*n**2/4 - 261*n/4 - 351/4 = 0?
-13, -3
Factor -15*z**4 + 48*z**3 - 51*z**2 + 18*z.
-3*z*(z - 1)**2*(5*z - 6)
Solve -4*h**4 + 12*h**3 - 8*h**2 = 0 for h.
0, 1, 2
Find f, given that 44*f**3 + 94*f**2 - 120*f - 18 = 0.
-3, -3/22, 1
Solve -n**5 + 10*n**4 + 23*n**3 - 492*n**2 + 1260*n = 0.
-7, 0, 5, 6
Factor 3*r**2/8 - 57*r/8 + 117/4.
3*(r - 13)*(r - 6)/8
Factor 35*c**4 + 330*c**3 + 625*c**2 + 210*c.
5*c*(c + 2)*(c + 7)*(7*c + 3)
Solve -4*m**2 + 8480*m - 4494400 = 0 for m.
1060
Suppose 3*q**2 - 12*q - 15 = 0. Calculate q.
-1, 5
Solve -8*v**2 - 452*v/5 - 132/5 = 0.
-11, -3/10
Factor -21*g**3/5 - 6*g**2/5 + 21*g/5 + 6/5.
-3*(g - 1)*(g + 1)*(7*g + 2)/5
Solve -a**5/7 - a**4/7 + 75*a**3/7 + 325*a**2/7 + 250*a/7 = 0 for a.
-5, -1, 0, 10
Determine l so that -2*l**5/13 + 620*l**4/13 + 6*l**3/13 - 1856*l**2/13 - 1240*l/13 = 0.
-1, 0, 2, 310
What is t in 365*t**3 - 375*t**2 + 10*t = 0?
0, 2/73, 1
Determine w so that 4*w**2 - 84*w = 0.
0, 21
Suppose -20*j**5 - 332*j**4 - 1224*j**3 - 1456*j**2 - 160*j + 384 = 0. Calculate j.
-12, -2, -1, 2/5
Determine z, given that z**2/7 + 200*z/7 + 975/7 = 0.
-195, -5
Let d**2 - 226*d + 12769 = 0. Calculate d.
113
Solve -5*h**3/4 + 315*h**2/4 - 550*h = 0.
0, 8, 55
Find l 