28*u.
2*u*(u - 70)*(u + 1)/5
Factor -2*k**2/3 + 478*k + 2876/3.
-2*(k - 719)*(k + 2)/3
Solve -5*j**5/3 + 2*j**4/3 + 10*j**3/3 - 4*j**2/3 - 5*j/3 + 2/3 = 0 for j.
-1, 2/5, 1
Find y such that -25*y**3 - 1955*y**2 + 9985*y + 2075 = 0.
-83, -1/5, 5
Solve -5*q**2 - 415*q + 1740 = 0 for q.
-87, 4
Suppose 2*o**2 + 478*o + 476 = 0. Calculate o.
-238, -1
Factor 4*c**4/5 + 64*c**3/5 + 208*c**2/5 + 192*c/5.
4*c*(c + 2)**2*(c + 12)/5
Solve -3*p**2/7 + 85*p/7 - 158/7 = 0 for p.
2, 79/3
Factor y**5/3 - 6*y**4 + 104*y**3/3 - 214*y**2/3 + 61*y - 56/3.
(y - 8)*(y - 7)*(y - 1)**3/3
Find y such that 2*y**4/3 + 14*y**3/3 - 24*y**2 - 104*y/3 + 160/3 = 0.
-10, -2, 1, 4
Factor -39*b**2/2 - 9*b.
-3*b*(13*b + 6)/2
Factor 4*m**4 + 596*m**3 + 1180*m**2 + 588*m.
4*m*(m + 1)**2*(m + 147)
Factor -4*d**2 - 15440*d - 14899600.
-4*(d + 1930)**2
Factor -4*k**3/3 + 68*k**2/3 - 256*k/3 + 64.
-4*(k - 12)*(k - 4)*(k - 1)/3
Suppose 2*x**2/15 - 4*x/5 - 16/3 = 0. Calculate x.
-4, 10
Suppose 23*f**4/3 - 109*f**3/3 + 13*f**2 + 75*f + 18 = 0. Calculate f.
-1, -6/23, 3
Factor 5*s**3 - 65*s - 60.
5*(s - 4)*(s + 1)*(s + 3)
Let a**3 + 146*a**2 + 4864*a - 34656 = 0. Calculate a.
-76, 6
Factor 5*g**3 + 9150*g**2 + 4167765*g - 16817780.
5*(g - 4)*(g + 917)**2
Find q such that -79*q**3/5 + 63*q**2 - 312*q/5 - 4/5 = 0.
-1/79, 2
Let -5*m**5/4 + 3*m**4/4 = 0. Calculate m.
0, 3/5
Determine i so that -300*i**2 - 335*i - 35 = 0.
-1, -7/60
What is c in -c**2 + 114*c + 232 = 0?
-2, 116
Factor -4*v**2/7 - 3628*v/7 - 3624/7.
-4*(v + 1)*(v + 906)/7
Let -20*a**5 - 35*a**4 + 30*a**3 + 35*a**2 - 10*a = 0. What is a?
-2, -1, 0, 1/4, 1
Factor -3*k**4/8 - 207*k**3/4.
-3*k**3*(k + 138)/8
Determine l so that 5*l**2 - 30*l + 40 = 0.
2, 4
What is s in 195*s**3 - 2155*s**2 + 2060*s - 100 = 0?
2/39, 1, 10
Factor k**2 + 806*k + 162409.
(k + 403)**2
Factor -45*y**4 - 1140*y**3 - 1460*y**2 - 480*y.
-5*y*(y + 24)*(3*y + 2)**2
Factor y**2/7 - 2*y/7 - 24/7.
(y - 6)*(y + 4)/7
Solve h**2 + 22*h + 112 = 0 for h.
-14, -8
What is a in -5*a**2 - 18530*a - 17168045 = 0?
-1853
Factor 2*k**2/5 + 256*k/5 + 8192/5.
2*(k + 64)**2/5
Factor h**2 - 4994*h + 6235009.
(h - 2497)**2
Solve 5*o**5 + 3*o**4/2 - 20*o**3 - 6*o**2 = 0.
-2, -3/10, 0, 2
Factor -3*a**2 + 21*a + 24.
-3*(a - 8)*(a + 1)
Let -5*c**5/4 - 115*c**4/4 + 375*c**3/4 - 385*c**2/4 + 65*c/2 = 0. Calculate c.
-26, 0, 1
Factor 3*a**4 - 3*a**3 - 54*a**2 + 156*a - 120.
3*(a - 2)**3*(a + 5)
Factor -z**4 - 6*z**3.
-z**3*(z + 6)
Determine g, given that 3*g**4/5 - 36*g**3/5 + 6*g**2 + 36*g/5 - 33/5 = 0.
-1, 1, 11
Factor -2*i**3 + 352*i**2 + 1822*i - 2172.
-2*(i - 181)*(i - 1)*(i + 6)
Factor 2*y**2/15 - 246*y/5 + 736/15.
2*(y - 368)*(y - 1)/15
Factor -2*d**3 - 510*d**2 - 3006*d - 4482.
-2*(d + 3)**2*(d + 249)
Determine n, given that 4*n**2 + 60*n + 224 = 0.
-8, -7
Let 3*s**3 - 636*s**2 + 33708*s = 0. Calculate s.
0, 106
What is n in 3*n**4 + 60*n**3 + 441*n**2 + 1416*n + 1680 = 0?
-7, -5, -4
Let -12*l**4 + 258*l**3 + 525*l**2/4 + 33*l/2 = 0. Calculate l.
-1/4, 0, 22
Factor -2*a**2/9 - 2152*a - 5209992.
-2*(a + 4842)**2/9
Determine z so that 6*z**4/7 + 600*z**3 - 4206*z**2/7 = 0.
-701, 0, 1
Factor 2*j**2 - 2*j - 4.
2*(j - 2)*(j + 1)
Find d, given that -21*d**4/5 - 48*d**3/5 + 93*d**2/5 + 156*d/5 + 36/5 = 0.
-3, -1, -2/7, 2
Factor -5*v**2 - 165*v - 1360.
-5*(v + 16)*(v + 17)
Let q**2/3 - 10*q/3 + 7 = 0. Calculate q.
3, 7
Factor w**4/5 + 66*w**3/5 + 1048*w**2/5 + 6144*w/5 + 11776/5.
(w + 4)*(w + 8)**2*(w + 46)/5
Solve -4*l**3 - 96*l**2 + 1260*l - 3400 = 0.
-34, 5
Factor -3*g**5 + 2400*g**3 - 480000*g.
-3*g*(g - 20)**2*(g + 20)**2
Determine i so that -35*i**5/6 - 71*i**4/3 - 109*i**3/3 - 76*i**2/3 - 43*i/6 - 1/3 = 0.
-1, -2/35
Find r, given that 363*r**2/4 + 759*r + 1587 = 0.
-46/11
Factor -2*h**3 + 10*h**2 - 14*h + 6.
-2*(h - 3)*(h - 1)**2
Determine k, given that -2*k**2/5 - 328*k/5 - 13448/5 = 0.
-82
Solve 3*b**3 - 129*b**2 = 0.
0, 43
Factor 3*v**4 - 45*v**3 - 246*v**2 + 4608*v - 4320.
3*(v - 12)**2*(v - 1)*(v + 10)
Let 2*g**2/7 - 28240*g/7 + 99687200/7 = 0. Calculate g.
7060
Factor -2*w**2 - 20*w + 48.
-2*(w - 2)*(w + 12)
Suppose -3*f**3 + 165*f**2 - 156*f - 324 = 0. Calculate f.
-1, 2, 54
Factor t**3/4 + 525*t**2/4 + 392*t + 261.
(t + 1)*(t + 2)*(t + 522)/4
What is h in 3*h**3 - 54*h**2 + 51*h = 0?
0, 1, 17
Factor -i**2/4 - 5*i/4 + 7/2.
-(i - 2)*(i + 7)/4
Find r, given that 4*r**3 + 228*r**2 + 4332*r + 27436 = 0.
-19
Factor -l**2/3 - 1849*l/3 + 1850/3.
-(l - 1)*(l + 1850)/3
Factor 3*r**4/4 + 15*r**3/4 + 6*r**2 + 3*r.
3*r*(r + 1)*(r + 2)**2/4
Let -2*c**5/5 - 8*c**4/5 + 12*c**3/5 + 72*c**2/5 + 54*c/5 = 0. What is c?
-3, -1, 0, 3
Let -24*u**5 + 142*u**4 - 300*u**3 + 262*u**2 - 72*u - 8 = 0. What is u?
-1/12, 1, 2
Suppose 2*u**5/7 - 174*u**4/7 - 4*u**3/7 + 348*u**2/7 + 2*u/7 - 174/7 = 0. What is u?
-1, 1, 87
Suppose h**4 + 11*h**3 + 37*h**2 + 45*h + 18 = 0. What is h?
-6, -3, -1
Factor -2*x**2/11 - 290*x/11.
-2*x*(x + 145)/11
Suppose -5*h**4/3 + 47*h**3/3 - 88*h**2/3 - 92*h/3 + 16 = 0. What is h?
-1, 2/5, 4, 6
Determine g, given that -15*g**3 + 51*g**2 - 93*g/5 + 9/5 = 0.
1/5, 3
Let -4*q**3 - 44*q**2 + 16*q + 176 = 0. Calculate q.
-11, -2, 2
Solve 2*s**4/11 + 48*s**3 + 4752*s**2 + 209088*s + 3449952 = 0.
-66
Let 3*h**5 + 831*h**4 - 834*h**3 = 0. Calculate h.
-278, 0, 1
Factor 3*u**3/2 - 633*u**2 + 2514*u - 2508.
3*(u - 418)*(u - 2)**2/2
Factor 3*b**4/4 - 9*b**3/4.
3*b**3*(b - 3)/4
Find y such that 4*y**2 + 452*y - 920 = 0.
-115, 2
Factor 25*c**3 + 460*c**2 + 2180*c + 800.
5*(c + 8)*(c + 10)*(5*c + 2)
Factor i**3/3 + 213*i**2 + 45369*i + 3221199.
(i + 213)**3/3
Factor -5*f**4 + 10*f**3 + 45*f**2 - 90*f.
-5*f*(f - 3)*(f - 2)*(f + 3)
Factor 2*s**4/9 - 2*s**3/3 + 4*s**2/9.
2*s**2*(s - 2)*(s - 1)/9
Solve -t**3/4 + 17*t**2/4 + 19*t/2 = 0.
-2, 0, 19
Determine z so that -374*z**2/15 + 100*z - 16/15 = 0.
2/187, 4
Solve 3*i**3 + 9201*i**2 + 7059465*i + 7050267 = 0.
-1533, -1
Factor -2*t**2 - 436*t - 864.
-2*(t + 2)*(t + 216)
Factor -2*k**3 - 68*k**2 - 66*k.
-2*k*(k + 1)*(k + 33)
Let -d**2/6 - 4*d - 22/3 = 0. Calculate d.
-22, -2
Solve 4*h**5 - 108*h**4 + 1056*h**3 - 4352*h**2 + 6144*h = 0.
0, 3, 8
Let 4*t**4 + 36*t**3 - 136*t**2 + 96*t = 0. Calculate t.
-12, 0, 1, 2
Determine y so that 3*y**4 - 3*y**3 - 39*y**2 + 75*y - 36 = 0.
-4, 1, 3
Factor -n**2/3 - 1592*n/3 - 633616/3.
-(n + 796)**2/3
Factor m**2/9 + 13*m/9 - 14/9.
(m - 1)*(m + 14)/9
Find g, given that 9*g**4/4 + 57*g**3/2 + 447*g**2/4 + 243*g/2 - 54 = 0.
-6, -4, -3, 1/3
Factor -4*d**3/3 + 108*d**2 - 1760*d + 24400/3.
-4*(d - 61)*(d - 10)**2/3
Factor z**4/7 + 43*z**3/7 - 44*z**2/7.
z**2*(z - 1)*(z + 44)/7
Determine y so that -2*y**2/5 + 24*y/5 + 26/5 = 0.
-1, 13
Solve -2*f**3 - 350*f**2 - 694*f - 346 = 0 for f.
-173, -1
What is z in -3*z**3/7 - 285*z**2/7 + 3*z/7 + 285/7 = 0?
-95, -1, 1
Factor -632043*r**4 + 5508*r**3 - 12*r**2.
-3*r**2*(459*r - 2)**2
Solve -6*v**5 - 9*v**4 + 3*v**3 + 9*v**2 + 3*v = 0 for v.
-1, -1/2, 0, 1
Solve 3*c**4/5 - 12*c**3/5 + 3*c**2 - 6*c/5 = 0 for c.
0, 1, 2
Factor -3*h**2/5 - 177*h + 888/5.
-3*(h - 1)*(h + 296)/5
Factor 5*k**5 - 15*k**4 + 10*k**3.
5*k**3*(k - 2)*(k - 1)
Solve -2*x**2/3 + 56*x + 170/3 = 0.
-1, 85
Factor w**3/3 - 5*w**2/3 + 4*w/3.
w*(w - 4)*(w - 1)/3
Let -2*b**3 - 28*b**2 - 88*b - 80 = 0. Calculate b.
-10, -2
Factor -14*u**2 + 136*u/5 + 8/5.
-2*(u - 2)*(35*u + 2)/5
Determine w, given that -w**5/2 + 4*w**4 + 6*w**3 - 11*w**2 - 43*w/2 - 9 = 0.
-1, 2, 9
Factor -2*j**2/7 + 272*j/7 - 9248/7.
-2*(j - 68)**2/7
Suppose 21*z**5/8 - 39*z**4/4 - 261*z**3/8 + 39*z**2/4 + 30*z = 0. Calculate z.
-2, -1, 0, 1, 40/7
Find v, given that -3*v**2/5 - 231*v/5 - 666/5 = 0.
-74, -3
Solve -3*o**2 - 2478*o - 511707 = 0 for o.
-413
Factor 2*p**5/9 - 56*p**4/9 + 608*p**3/9 - 3200*p**2/9 + 8192*p/9 - 8192/9.
2*(p - 8)**2*(p - 4)**3/9
Factor -5*i**4 - 55*i**3 - 45*i**2 + 55*i + 50.
-5*(i - 1)*(i + 1)**2*(i + 10)
Factor -6*a**2 + 2836*a/3 + 1264/3.
-2*(a - 158)*(9*a + 4)/3
Find t such that -2*t**4/15 - 8*t**3/15 = 0.
-4, 0
Determine y, given that -340*y**3 - 688*y**2 - 16*y = 0.
-2, -2/85, 0
Solve -2*m**4 - 50*m**3 - 16*m**2 + 800*m + 768 = 0 for m.
-24, -4, -1, 4
Solve -10*z**3 - 34*z**2 - 32*z - 8 = 0.
-2, -1, -2/5
Suppose 4*u**2 + 184*u - 188 = 0. What is u?
-47, 1
Factor -5*g**2 - 5070*g + 5075.
-5*(g - 1)*(g + 1015)
Factor 