(w + 3207)**3
Find h such that 2*h**2 + 198*h + 388 = 0.
-97, -2
Factor i**3/2 + 16*i**2 + 58*i + 56.
(i + 2)**2*(i + 28)/2
Find a, given that 5*a**5 + 60*a**4 + 280*a**3 + 640*a**2 + 720*a + 320 = 0.
-4, -2
Find r such that -2*r**3/9 + 156*r**2 + 938*r/3 + 1408/9 = 0.
-1, 704
Factor 9*y**3 + 1389*y**2 - 2334*y + 936.
3*(y - 1)*(y + 156)*(3*y - 2)
Suppose 3*h**3 - 27*h**2 = 0. Calculate h.
0, 9
Factor 5*z**3 + 310*z**2 + 305*z.
5*z*(z + 1)*(z + 61)
Find f, given that 2*f**4/7 - 2*f**2/7 = 0.
-1, 0, 1
Factor -s**2/9 - 1858*s/9 - 863041/9.
-(s + 929)**2/9
Factor -c**3/4 - 11*c**2/4 - 31*c/4 - 21/4.
-(c + 1)*(c + 3)*(c + 7)/4
Find d such that 3*d**2/2 + 27*d/2 + 27 = 0.
-6, -3
Factor -5*w**2/2 + 15*w + 135/2.
-5*(w - 9)*(w + 3)/2
Factor -242*z**3/5 + 858*z**2/5 + 432*z - 7776/5.
-2*(z + 3)*(11*z - 36)**2/5
Determine o so that -81*o**4/5 - 486*o**3/5 + 2808*o**2/5 - 4128*o/5 + 384 = 0.
-10, 4/3
Factor -j**5/6 - j**4/6 + j**3/2 + 5*j**2/6 + j/3.
-j*(j - 2)*(j + 1)**3/6
Determine w, given that 14*w**3/5 + 444*w**2/5 - 216*w + 272/5 = 0.
-34, 2/7, 2
Suppose -2*k**3/7 + 2*k**2 - 22*k/7 + 10/7 = 0. Calculate k.
1, 5
Solve -2*r**5/3 + 4*r**4 + 28*r**3 - 304*r**2/3 + 106*r - 36 = 0.
-6, 1, 9
Factor h**4 - 4*h**3 + 3*h**2 + 4*h - 4.
(h - 2)**2*(h - 1)*(h + 1)
Suppose -3*o**2 + 99*o - 270 = 0. What is o?
3, 30
What is o in -4*o**3 + 52*o**2 + 56*o = 0?
-1, 0, 14
What is b in -4*b**2 - 580*b + 8216 = 0?
-158, 13
Find a, given that -2*a**4/15 - 64*a**3/5 - 12*a**2 + 944*a/15 - 38 = 0.
-95, -3, 1
What is a in -5*a**2 + 140*a + 1900 = 0?
-10, 38
Find g such that -3*g**2 + 30*g - 72 = 0.
4, 6
Suppose -3*x**5 - 9*x**4 + 4671*x**3 + 40257*x**2 - 1905120*x - 25004700 = 0. Calculate x.
-21, 30
Factor -2*i**3/11 - 138*i**2/11 - 12*i + 272/11.
-2*(i - 1)*(i + 2)*(i + 68)/11
Find p, given that -3*p**5/2 - 591*p**4 - 112827*p**3/2 + 354600*p**2 - 540000*p = 0.
-200, 0, 3
Suppose -4*f**5 + 64*f**4 - 168*f**3 + 160*f**2 - 52*f = 0. What is f?
0, 1, 13
Find u such that 3*u**5 + 6*u**4 - 3*u**3 - 6*u**2 = 0.
-2, -1, 0, 1
What is m in m**5/2 + m**4/2 - m**3/2 - m**2/2 = 0?
-1, 0, 1
Solve -k**2/3 - 94*k/3 - 688/3 = 0 for k.
-86, -8
Suppose -9*b**2 + 354*b + 615 = 0. Calculate b.
-5/3, 41
Determine n, given that n**4 - 7*n**3 - 3*n**2 + 19*n + 14 = 0.
-1, 2, 7
Factor 4*v**3 - 4740*v**2 + 1872300*v - 246519500.
4*(v - 395)**3
Factor -2*x**2 - 754*x/5 - 60.
-2*(x + 75)*(5*x + 2)/5
Factor -8*h**2/11 + 494*h/11 + 124/11.
-2*(h - 62)*(4*h + 1)/11
Determine m, given that -2*m**5/11 - 16*m**4/11 - 4*m**3 - 56*m**2/11 - 34*m/11 - 8/11 = 0.
-4, -1
Let 2*b**5/13 + 2*b**4 - 32*b**3/13 - 56*b**2/13 = 0. What is b?
-14, -1, 0, 2
Factor -2*t**4/11 - 318*t**3/11 - 12480*t**2/11 + 12800*t/11.
-2*t*(t - 1)*(t + 80)**2/11
Factor 4*d**2 - 32*d + 64.
4*(d - 4)**2
Suppose -10*l**3/9 + 152*l**2/9 - 530*l/9 + 100/9 = 0. What is l?
1/5, 5, 10
Solve 5*r**3 + 65*r**2 = 0 for r.
-13, 0
What is q in 2*q**4/9 - 22*q**3/3 + 62*q**2/9 + 22*q/3 - 64/9 = 0?
-1, 1, 32
Determine x, given that x**2/5 + 16*x/5 - 17/5 = 0.
-17, 1
Determine u, given that 6*u**5/19 + 8*u**4/19 - 28*u**3/19 + 8*u**2/19 + 6*u/19 = 0.
-3, -1/3, 0, 1
Factor p**3/7 + 109*p**2/7 - 110*p/7.
p*(p - 1)*(p + 110)/7
Let 8*s**3/7 + 81*s**2/7 + 82*s/7 + 9/7 = 0. What is s?
-9, -1, -1/8
Solve 3*s**5/5 - s**4 - 14*s**3/5 + 2*s**2/5 + 11*s/5 + 3/5 = 0 for s.
-1, -1/3, 1, 3
Factor g**4/2 + 2*g**3 - 29*g**2/2 + 12*g.
g*(g - 3)*(g - 1)*(g + 8)/2
Factor w**3 - 34*w**2 + 95*w - 62.
(w - 31)*(w - 2)*(w - 1)
Factor 2*q**3/9 + 2*q**2 + 40*q/9.
2*q*(q + 4)*(q + 5)/9
Factor -121*z**2/4 - 61*z - 1.
-(z + 2)*(121*z + 2)/4
Solve -3*i**2/2 - 135*i/2 - 756 = 0.
-24, -21
Factor -3*d**4 + 12*d**3 - 15*d**2 + 6*d.
-3*d*(d - 2)*(d - 1)**2
Factor 9*h**3 + 3117*h**2 + 270399*h + 89787.
3*(h + 173)**2*(3*h + 1)
Let c**5/3 + 42*c**4 + 746*c**3 + 12688*c**2/3 + 6387*c + 2862 = 0. Calculate c.
-106, -9, -1
Factor -3*k**3/7 + 1593*k**2/7 - 281961*k/7 + 16635699/7.
-3*(k - 177)**3/7
Solve 12*z**3 - 10940*z**2 + 18208*z - 7280 = 0 for z.
2/3, 1, 910
Factor -33*h**2 + 51*h - 18.
-3*(h - 1)*(11*h - 6)
Factor 2*b**3 + 738*b**2 + 16848*b + 99360.
2*(b + 12)**2*(b + 345)
Factor -x**2 - 34*x + 611.
-(x - 13)*(x + 47)
Let 6*p**5/13 - 70*p**4/13 + 188*p**3/13 + 120*p**2/13 - 144*p/13 = 0. What is p?
-1, 0, 2/3, 6
Factor 5*s**5 - 21*s**4 + 34*s**3 - 26*s**2 + 9*s - 1.
(s - 1)**4*(5*s - 1)
Factor g**3 - 284*g**2/3 + 2227*g/3 + 258.
(g - 86)*(g - 9)*(3*g + 1)/3
What is f in f**3/4 - 9*f**2/2 - 21*f/4 + 19/2 = 0?
-2, 1, 19
Factor 3*y**2 - 17010*y + 24111675.
3*(y - 2835)**2
Factor p**4/3 + 1688*p**3/3 + 712336*p**2/3.
p**2*(p + 844)**2/3
Solve -3*g**2/4 + 39*g/4 + 51 = 0.
-4, 17
Let 4*b**2 + 50*b + 24 = 0. What is b?
-12, -1/2
What is o in -3*o**4 - 3*o**3 + 12*o**2 + 12*o = 0?
-2, -1, 0, 2
Factor -3*z**5 + 9*z**4 - 12*z**2.
-3*z**2*(z - 2)**2*(z + 1)
Factor -3*j**2/5 + 2121*j/5 - 846.
-3*(j - 705)*(j - 2)/5
Find g such that -9*g**5/2 - 381*g**4/4 - 2487*g**3/4 - 4653*g**2/4 + 81*g/4 + 729/2 = 0.
-9, -3, -2/3, 1/2
Determine r so that 2*r**3/11 - 14*r**2/11 - 2*r/11 + 14/11 = 0.
-1, 1, 7
Factor -81*i**3/2 + 402*i**2 - 1965*i/2 - 75.
-3*(i - 5)**2*(27*i + 2)/2
Factor 3*a**4 - 21*a**3 - 30*a**2 + 48*a.
3*a*(a - 8)*(a - 1)*(a + 2)
Let 3*p**5/2 + 11*p**4/2 - 197*p**3/6 - 287*p**2/2 - 84*p - 40/3 = 0. Calculate p.
-4, -1/3, 5
Find r such that -r**4 + 4*r**3 + 126*r**2 - 196*r - 3773 = 0.
-7, 7, 11
Factor -3*i**4 - 60*i**3 - 396*i**2 - 864*i.
-3*i*(i + 6)**2*(i + 8)
Determine s so that s**4/4 - 61*s**3/2 + 3721*s**2/4 = 0.
0, 61
Factor l**4/5 + 7*l**3/5 + 3*l**2 + 9*l/5.
l*(l + 1)*(l + 3)**2/5
Suppose -5*k**3 - 165*k**2 - 855*k - 1215 = 0. What is k?
-27, -3
Suppose -l**5/3 + 184*l**4/3 - 8825*l**3/3 + 33302*l**2/3 - 13620*l + 5400 = 0. What is l?
1, 2, 90
Factor 2*r**3/5 + 16*r**2/5.
2*r**2*(r + 8)/5
Let 14*k**3 + 54*k**2 + 36*k = 0. Calculate k.
-3, -6/7, 0
Suppose 3*t**4 - 309*t**3 - 627*t**2 - 315*t = 0. Calculate t.
-1, 0, 105
Determine j so that 3*j**4/7 - 351*j**3/7 + 1704*j**2/7 - 2700*j/7 + 192 = 0.
1, 2, 112
Solve -4*y**4/3 + 172*y**3/3 + 740*y**2/3 + 188*y = 0.
-3, -1, 0, 47
What is d in -5*d**2 + 1280*d - 81920 = 0?
128
Solve -4*x**2/9 + 88*x/3 - 484 = 0.
33
Factor -h**4/5 + 7*h**3/5 + 53*h**2/5 + 81*h/5 + 36/5.
-(h - 12)*(h + 1)**2*(h + 3)/5
Let -3*i**3 - 273*i**2 + 1719*i - 2619 = 0. Calculate i.
-97, 3
Factor -r**3/5 + 3*r**2/5 + 48*r - 340.
-(r - 10)**2*(r + 17)/5
Determine d so that -7*d**5/3 - 3*d**4 + 19*d**3/3 + 13*d**2/3 - 4*d - 4/3 = 0.
-2, -1, -2/7, 1
Factor -4*r**3/7 - 164*r**2/7 + 24*r.
-4*r*(r - 1)*(r + 42)/7
Find r such that -r**5/5 + 2*r**4/5 + 3*r**3/5 - 4*r**2/5 - 4*r/5 = 0.
-1, 0, 2
What is n in 3*n**4/7 - 33*n**3/7 + 72*n**2/7 = 0?
0, 3, 8
Solve -2*b**2/23 + 198*b/23 - 388/23 = 0 for b.
2, 97
Factor -3*k**4/7 - 33*k**3/7 - 57*k**2/7 - 27*k/7.
-3*k*(k + 1)**2*(k + 9)/7
Factor -3*z**4 - 36*z**3 - 117*z**2 - 84*z.
-3*z*(z + 1)*(z + 4)*(z + 7)
What is z in 2*z**3/15 - 94*z**2/3 + 464*z/15 + 312/5 = 0?
-1, 2, 234
Determine i, given that -3*i**2/2 - 60*i - 600 = 0.
-20
Factor r**2/7 + 9*r + 62/7.
(r + 1)*(r + 62)/7
What is y in -8*y**5/9 + 64*y**4/9 - 194*y**3/9 + 94*y**2/3 - 22*y + 6 = 0?
1, 3/2, 3
Factor -8*w**3 - 1786*w**2 - 2222*w - 444.
-2*(w + 1)*(w + 222)*(4*w + 1)
Factor -f**2 - 85*f + 174.
-(f - 2)*(f + 87)
Let 4*d**4 + 95*d**3 + 236*d**2 + 103*d - 42 = 0. Calculate d.
-21, -2, -1, 1/4
Determine y so that y**2/3 - 790*y + 2369/3 = 0.
1, 2369
Find n such that 3*n**3/2 + 63*n**2/2 + 249*n/2 - 315/2 = 0.
-15, -7, 1
Factor -3*l**3 - 3*l**2 + 18*l.
-3*l*(l - 2)*(l + 3)
Factor -44*t**2/7 - 604*t/7 + 120.
-4*(t + 15)*(11*t - 14)/7
Find s, given that -s**4/4 + 11*s**3/4 - 3*s**2 - 45*s + 108 = 0.
-4, 3, 6
What is k in 4*k**4/7 + 60*k**3/7 - 136*k**2/7 = 0?
-17, 0, 2
Let -2*g**5/3 - 2*g**4 + 6*g**3 + 46*g**2/3 + 8*g = 0. What is g?
-4, -1, 0, 3
What is w in 3*w**2/8 + 9*w/2 + 27/2 = 0?
-6
Factor p**4/2 - 2*p**3 - 3*p**2 + 2*p + 5/2.
(p - 5)*(p - 1)*(p + 1)**2/2
Suppose 75*s**4 - 515*s**3 + 302*s**2 + 508*s + 120 = 0. What is s?
-2/5, 5/3, 6
Factor 3*t**3/7 + 5805*t**2/7 + 3744225*t/7 + 805008375/7.
3*(t + 645)**3/7
Factor -5*w**3 - 210*w**2 + 920*w.
-5*w*(w - 4)*(w + 46)
Factor -b**2 - 628*b - 98596.
-(b + 314)**2
Determine j so that j**4 - 30*j**3 + 109*j**2 - 1