- 692*o**2 - 26572*o + 298116 = 0. Calculate o.
-91, 9
Factor -4*j**5 - 49*j**4/6 - 13*j**3/3 - j**2/6.
-j**2*(j + 1)**2*(24*j + 1)/6
Find l, given that 2*l**3 - 2*l**2 - 10*l - 6 = 0.
-1, 3
Determine n so that 20*n**5 - 528*n**4 + 3588*n**3 - 1352*n**2 = 0.
0, 2/5, 13
Factor 25*n**3/4 + 185*n**2/2 + 71*n + 14.
(n + 14)*(5*n + 2)**2/4
Suppose 2*k**2 - 132*k - 272 = 0. What is k?
-2, 68
Factor -3*a**4 - 432*a**3 + 3*a**2 + 432*a.
-3*a*(a - 1)*(a + 1)*(a + 144)
Factor -2*u**2 + 4456*u - 2481992.
-2*(u - 1114)**2
Factor 5*c**3/3 + 55*c**2/3 + 175*c/3 + 125/3.
5*(c + 1)*(c + 5)**2/3
Solve 5*c**5/6 - c**4/3 - 5*c**3/2 + 8*c**2/3 - 2*c/3 = 0.
-2, 0, 2/5, 1
Find v, given that 21*v**4 - 20*v**3 - 3*v**2 + 2*v = 0.
-1/3, 0, 2/7, 1
Find y such that 5*y**2/4 - 15*y + 55/4 = 0.
1, 11
Factor 2*v**2/9 + 46*v/9 + 44/9.
2*(v + 1)*(v + 22)/9
What is i in -125*i**3 - 6755*i**2 + 6605*i + 275 = 0?
-55, -1/25, 1
Solve -4*p**3 - 292*p**2 + 1216*p - 1232 = 0.
-77, 2
Solve -z**2/6 - 13*z + 79/6 = 0.
-79, 1
Factor 2*h**4 - 158*h**3 - 322*h**2 - 162*h.
2*h*(h - 81)*(h + 1)**2
Factor -s**3/5 + 11*s**2/5 - 2*s.
-s*(s - 10)*(s - 1)/5
Find m such that 2*m**5/11 + 36*m**4/11 + 14*m**3 - 392*m**2/11 - 3072*m/11 - 2560/11 = 0.
-8, -5, -1, 4
Solve k**5/3 + 5*k**4/3 - 7*k**3/3 - 5*k**2/3 + 2*k = 0 for k.
-6, -1, 0, 1
Factor 2*y**3/3 + 16*y**2 - 158*y/3 + 36.
2*(y - 2)*(y - 1)*(y + 27)/3
Let -3*c**5/4 - 21*c**4/4 - 9*c**3/2 + 24*c**2 + 24*c = 0. Calculate c.
-4, -1, 0, 2
Factor 832*n**3/3 + 32*n**2 - 420*n - 216.
4*(52*n**2 - 33*n - 54)/3
Suppose -2*w**4/7 - 78*w**3/7 - 148*w**2/7 = 0. What is w?
-37, -2, 0
Determine y, given that y**2/4 - 73*y/4 + 71/2 = 0.
2, 71
What is h in 2*h**4 - 6*h**3 - 10*h**2 + 6*h + 8 = 0?
-1, 1, 4
Factor 4*v**4 - 780*v**3 - 4776*v**2 - 9616*v - 6432.
4*(v - 201)*(v + 2)**3
Suppose -d**4 + 3*d**3 + 19*d**2 - 87*d + 90 = 0. Calculate d.
-5, 2, 3
Factor -u**2 + 14*u + 15.
-(u - 15)*(u + 1)
Factor -4*r**4 - 110*r**3 - 156*r**2.
-2*r**2*(r + 26)*(2*r + 3)
Solve -3*m**3/7 + 294*m**2 = 0.
0, 686
Solve 5*p**5 + 45*p**4 + 70*p**3 - 10*p**2 - 75*p - 35 = 0 for p.
-7, -1, 1
Factor 2*k**2/3 + 98*k/3 + 32.
2*(k + 1)*(k + 48)/3
Solve -9*k**4 - 84*k**3 - 156*k**2 + 144*k = 0.
-6, -4, 0, 2/3
Factor 2*j**3/3 - 10*j**2/3 + 8*j/3.
2*j*(j - 4)*(j - 1)/3
Factor -a**2/3 + 4*a.
-a*(a - 12)/3
What is h in -2*h**3 - 22590*h**2 - 85051350*h - 106739444250 = 0?
-3765
Find v such that 2*v**4/9 + 44*v**3/9 - 94*v**2/9 + 16*v/3 = 0.
-24, 0, 1
Let -p**4/2 - 3*p**3 + 115*p**2/2 + 306*p - 810 = 0. What is p?
-9, 2, 10
Determine d so that -5*d**4 - 70*d**3 + 175*d**2 + 240*d = 0.
-16, -1, 0, 3
Solve 2*d**5 + 4*d**4/5 = 0 for d.
-2/5, 0
Solve -5*x**2/2 - 25*x + 240 = 0 for x.
-16, 6
Find f, given that 4*f**4/7 + 2*f**3 + 6*f**2/7 = 0.
-3, -1/2, 0
Factor 4*f**2 - 168*f + 1620.
4*(f - 27)*(f - 15)
Factor z**3/7 + 81*z**2/7 + 240*z + 1600/7.
(z + 1)*(z + 40)**2/7
Factor 2*s**3/3 + 70*s**2 + 1872*s + 5408/3.
2*(s + 1)*(s + 52)**2/3
Suppose -3*t**2 - 165*t = 0. Calculate t.
-55, 0
Solve -2*b**5/7 + 174*b**4/7 - 528*b**3 - 3872*b**2/7 = 0 for b.
-1, 0, 44
Factor -5*k**5 - 100*k**4 - 620*k**3 - 770*k**2 + 3185*k + 3430.
-5*(k - 2)*(k + 1)*(k + 7)**3
Factor q**2 + 148*q + 715.
(q + 5)*(q + 143)
Factor -3*r**2/4 - 87*r/4 - 81/2.
-3*(r + 2)*(r + 27)/4
Factor -3*p**4/2 + 549*p**3 - 1095*p**2/2.
-3*p**2*(p - 365)*(p - 1)/2
What is l in l**4/3 - 124*l**3/3 + 3718*l**2/3 + 2604*l + 1323 = 0?
-1, 63
Factor 5*i**2 - 11970*i + 7164045.
5*(i - 1197)**2
Determine t, given that t**3/2 + 16*t**2 + 141*t/2 + 81 = 0.
-27, -3, -2
Determine p, given that -5*p**4 + 15*p**3 - 15*p**2 + 5*p = 0.
0, 1
Find g such that 2*g**4/9 - 74*g**3/9 + 436*g**2/9 - 448*g/9 - 320/3 = 0.
-1, 4, 30
Solve 2*y**2/3 - 8*y + 40/3 = 0 for y.
2, 10
Solve -5*u**3 - 345*u**2 - 7935*u - 60835 = 0.
-23
Find v such that 2*v**4/11 - 4*v**3/11 - 30*v**2/11 + 64*v/11 - 32/11 = 0.
-4, 1, 4
Factor 2*x**3/3 - 2*x**2/3 - 4*x/3.
2*x*(x - 2)*(x + 1)/3
Factor 4*c**2/7 + 5112*c/7 - 5116/7.
4*(c - 1)*(c + 1279)/7
Factor 2*x**3/9 + 14*x**2/9 - 88*x/9.
2*x*(x - 4)*(x + 11)/9
Factor d**3 - 58*d**2/5 - 249*d/5 - 18.
(d - 15)*(d + 3)*(5*d + 2)/5
Factor -9*h**3 + 42*h**2 + 68*h + 24.
-(h - 6)*(3*h + 2)**2
Determine f, given that -2*f**3/7 - 18*f**2/7 + 464*f/7 + 480/7 = 0.
-20, -1, 12
Solve -6*s**4/11 - 318*s**3/11 - 282*s**2/11 + 1542*s/11 - 936/11 = 0 for s.
-52, -3, 1
Factor 722*n**2 - 380*n/3 + 50/9.
2*(57*n - 5)**2/9
Factor -34*q**3/19 + 234*q**2/19 + 28*q/19.
-2*q*(q - 7)*(17*q + 2)/19
Factor 2*v**4 + 16*v**3 + 12*v**2 - 16*v - 14.
2*(v - 1)*(v + 1)**2*(v + 7)
Determine y, given that 4*y**2 - 1288*y + 103684 = 0.
161
What is q in 4*q**2/5 - 2588*q/5 - 2592/5 = 0?
-1, 648
Factor 2*p**2/11 + 18*p/11 + 40/11.
2*(p + 4)*(p + 5)/11
Suppose -45*c**3 + 47670*c**2 + 31795*c + 5300 = 0. Calculate c.
-1/3, 1060
Factor -q**4/4 + 11*q**3/2 + 101*q**2/4 + 39*q/2.
-q*(q - 26)*(q + 1)*(q + 3)/4
Factor -75*p**3 - 65*p**2 + 10*p.
-5*p*(p + 1)*(15*p - 2)
Determine h so that 5*h**2 + 7375*h - 7380 = 0.
-1476, 1
Factor -2*i**2 - 106*i - 300.
-2*(i + 3)*(i + 50)
Let -3*y**2/2 + 240*y + 483/2 = 0. What is y?
-1, 161
Find c such that -15*c**2 - 21295*c - 14190 = 0.
-1419, -2/3
Suppose 4*r**4 + 20*r**3 - 112*r**2 - 80*r + 384 = 0. What is r?
-8, -2, 2, 3
Factor t**4 - 11*t**3 - 12*t**2.
t**2*(t - 12)*(t + 1)
Let -10*y**3/7 + 64*y**2/7 - 74*y/7 + 20/7 = 0. What is y?
2/5, 1, 5
Factor -c**2/3 - 7*c/3 - 10/3.
-(c + 2)*(c + 5)/3
Solve -3*x**5/4 + 3*x**4/2 + 21*x**3/2 + 6*x**2 - 39*x/4 - 15/2 = 0.
-2, -1, 1, 5
Solve -4*h**3/3 + 2844*h**2 + 11392*h + 34192/3 = 0 for h.
-2, 2137
Factor -4*t**4 + 2548*t**3 - 404492*t**2 - 407044*t.
-4*t*(t - 319)**2*(t + 1)
Find p such that -2*p**4/21 - 8*p**3/3 + 82*p**2/7 - 316*p/21 + 128/21 = 0.
-32, 1, 2
What is q in 3*q**5/5 + 21*q**4/5 + 48*q**3/5 + 36*q**2/5 = 0?
-3, -2, 0
Factor -m**2 - 77*m - 292.
-(m + 4)*(m + 73)
Suppose 71496882*b**2/11 - 47832*b/11 + 8/11 = 0. Calculate b.
2/5979
Factor 20*p**2 - 35*p - 55.
5*(p + 1)*(4*p - 11)
Determine i, given that -2*i**3/7 + 370*i**2/7 + 746*i/7 + 374/7 = 0.
-1, 187
Solve g**5/2 - 7*g**3/2 + g**2 + 6*g - 4 = 0 for g.
-2, 1, 2
Factor -4*t**2 + 108*t + 232.
-4*(t - 29)*(t + 2)
Determine y, given that 32*y**4/19 + 312*y**3/19 + 864*y**2/19 + 486*y/19 = 0.
-9/2, -3/4, 0
Solve 4*g**3 - 2740*g**2 + 470592*g - 467856 = 0 for g.
1, 342
Let 4*q**4 - 4*q**3 - 132*q**2 - 236*q - 112 = 0. Calculate q.
-4, -1, 7
Factor 4*h**3 - 568*h**2/3 + 188*h/3.
4*h*(h - 47)*(3*h - 1)/3
Find a, given that -a**2/7 + 552*a/7 - 76176/7 = 0.
276
Solve v**3/2 + 16*v**2 + 61*v/2 + 15 = 0 for v.
-30, -1
Factor 4*i**4 + 8*i**3 - 4*i**2 - 8*i.
4*i*(i - 1)*(i + 1)*(i + 2)
Factor -4*v**2 - 1936*v - 234256.
-4*(v + 242)**2
Factor h**4/3 + 196*h**3/3 + 3234*h**2 - 166012*h/3 - 15978655/3.
(h - 35)*(h + 77)**3/3
Let 2*l**5/9 - 26*l**4/9 + 94*l**3/9 - 118*l**2/9 + 16*l/3 = 0. What is l?
0, 1, 3, 8
Find h such that -3*h**5 + 177*h**4 - 504*h**3 = 0.
0, 3, 56
Factor -2*m**5/15 + 2*m**4/5 - 2*m**3/5 + 2*m**2/15.
-2*m**2*(m - 1)**3/15
Suppose -a**5/4 + 47*a**4/4 - 45*a**3/2 = 0. What is a?
0, 2, 45
Solve -4*n**3/7 + 1368*n**2/7 + 4*n/7 - 1368/7 = 0.
-1, 1, 342
Solve j**5/6 - 3*j**4/2 - 17*j**3/6 + 51*j**2/2 + 8*j/3 - 24 = 0.
-4, -1, 1, 4, 9
Suppose 5*v**4 - 5*v**2 = 0. Calculate v.
-1, 0, 1
Let -m**2/2 - 3*m + 36 = 0. Calculate m.
-12, 6
Suppose -2*c**5/5 + 4*c**4 - 4*c**3/5 - 152*c**2/5 + 246*c/5 - 108/5 = 0. What is c?
-3, 1, 2, 9
Determine a, given that -a**3/3 - 13*a**2/3 - 16*a - 12 = 0.
-6, -1
Find y such that y**4/2 - 3*y**3/2 + 2*y = 0.
-1, 0, 2
Factor 3*t**3 - 9*t**2 + 6*t.
3*t*(t - 2)*(t - 1)
Factor -4*c**3 - 640*c**2 + 3948*c - 5976.
-4*(c - 3)**2*(c + 166)
Factor -30752*v**2/7 - 496*v/7 - 2/7.
-2*(124*v + 1)**2/7
Factor -2*z**2 + 1876*z - 1874.
-2*(z - 937)*(z - 1)
Factor -4*s**2 + 384*s - 9216.
-4*(s - 48)**2
Let 49*n**3/6 - 1547*n**2/6 + 436*n/3 - 62/3 = 0. Calculate n.
2/7, 31
Factor 27*z**4/7 + 10968*z**3/7 + 159297*z**2 + 35322*z.
3*z*(z + 203)**2*(9*z + 2)/7
Factor -2*g**3/13 - 36*g**2/13 - 34*g/13.
-2*g*(g + 1)*(g + 17)/13
Factor j**3/2 - 16*j**2 + 165*j/2 - 117.
(j - 26)*(j - 3)**2/2
Factor 5*o**4 + 65*o**3 + 220*o**2 + 160*o.
5*o*(o + 1)*(o + 4)*(o + 8)
Factor 2*k**3/7 + 6*k**2/7 - 18*k/7 + 10/7.
2*(k - 1)**2*(k + 