actor a**4 + 821*a**3 + 223575*a**2 + 19889375*a - 83187500.
(a - 4)*(a + 275)**3
Factor 27*a**2 + 897*a + 198.
3*(a + 33)*(9*a + 2)
Solve -t**4/4 + 45*t**3/4 + 23*t**2/2 = 0 for t.
-1, 0, 46
Solve -2*o**5/5 + 6*o**4/5 + 14*o**3/5 - 22*o**2/5 - 12*o/5 + 16/5 = 0 for o.
-2, -1, 1, 4
Let 15*v**3 - 59631*v**2 + 59246376*v + 35569296 = 0. Calculate v.
-3/5, 1988
Suppose -k**5/7 + 88*k**4 - 96073*k**3/7 + 367818*k**2/7 + 1026324*k/7 + 561816/7 = 0. Calculate k.
-1, 6, 306
Factor 4*o**3 + 20*o**2 + 24*o.
4*o*(o + 2)*(o + 3)
Factor -5*t**5/3 - 10*t**4/3 - 5*t**3/3.
-5*t**3*(t + 1)**2/3
Determine m, given that m**3/8 - 35*m**2/8 - 73*m/8 - 37/8 = 0.
-1, 37
Factor r**4 + 7*r**3 + 17*r**2 + 17*r + 6.
(r + 1)**2*(r + 2)*(r + 3)
Let p**5/3 + p**4/3 - 8*p**3/3 - 4*p**2 = 0. What is p?
-2, 0, 3
Determine c, given that -20*c**4/21 - 206*c**3/21 - 18*c**2 - 76*c/21 + 32/21 = 0.
-8, -2, -1/2, 1/5
Determine g, given that 12*g**5/5 + 56*g**4/5 - 308*g**3/5 + 96*g**2/5 = 0.
-8, 0, 1/3, 3
Solve 4*o**4 + 316*o**3 - 644*o**2 + 324*o = 0 for o.
-81, 0, 1
Factor -z**4/6 + 3*z**3 - 14*z**2/3 - 12*z + 64/3.
-(z - 16)*(z - 2)**2*(z + 2)/6
Determine m, given that -m**3/6 + 10*m**2/3 + 61*m/2 + 27 = 0.
-6, -1, 27
Find r such that 3*r**5 + 21*r**4 + 39*r**3 + 3*r**2 - 42*r - 24 = 0.
-4, -2, -1, 1
Factor 4*j**4/5 + 24*j**3/5 + 16*j**2/5 - 24*j/5 - 4.
4*(j - 1)*(j + 1)**2*(j + 5)/5
Let 5*y**3 + 380*y**2 - 780*y = 0. Calculate y.
-78, 0, 2
Factor u**2 - u - 2.
(u - 2)*(u + 1)
Determine u, given that -5*u**4 - 18*u**3 + 33*u**2 - 10*u = 0.
-5, 0, 2/5, 1
Factor -9*p**2/7 + 114*p/7 - 361/7.
-(3*p - 19)**2/7
Factor 27436*a**4 - 90972*a**3 + 26904*a**2 - 2768*a + 96.
4*(a - 3)*(19*a - 2)**3
Factor 2*s**3/11 + 32*s**2/11 + 58*s/11 + 28/11.
2*(s + 1)**2*(s + 14)/11
Factor g**3/2 - 11*g**2/2 + 5*g.
g*(g - 10)*(g - 1)/2
Factor -3*m**4/7 - 3*m**3 - 33*m**2/7 - 15*m/7.
-3*m*(m + 1)**2*(m + 5)/7
Determine l so that -5*l**4 + 810*l**3 + 1635*l**2 + 820*l = 0.
-1, 0, 164
Factor 5*y**3 - 35*y + 30.
5*(y - 2)*(y - 1)*(y + 3)
Factor 2*d**4/3 - 6*d**3 - 8*d**2 + 40*d/3.
2*d*(d - 10)*(d - 1)*(d + 2)/3
Find k such that -3*k**4/4 - 31*k**3/4 - 7*k**2/4 + 31*k/4 + 5/2 = 0.
-10, -1, -1/3, 1
Factor v**2/3 + 280*v/3 + 900.
(v + 10)*(v + 270)/3
Suppose -12*n**2 + 3*n + 99 = 0. What is n?
-11/4, 3
Factor 5*k**2 + 635*k - 3300.
5*(k - 5)*(k + 132)
Find m such that -m**2/2 - 10*m - 50 = 0.
-10
Factor -2*f**2 + 4*f + 6.
-2*(f - 3)*(f + 1)
Factor -4*a**4 - 344*a**3 - 8052*a**2 - 28208*a - 26896.
-4*(a + 2)**2*(a + 41)**2
Let -3362*j**2 + 11808*j - 10368 = 0. What is j?
72/41
Determine w so that 144*w**3 - 292*w**2 + 16 = 0.
-2/9, 1/4, 2
Factor -a**5/7 + 51*a**4/7 - 72*a**3 + 1404*a**2/7.
-a**2*(a - 39)*(a - 6)**2/7
Let -v**4 + 50*v**3 - 457*v**2 - 4200*v - 7056 = 0. What is v?
-3, 28
Determine b, given that -b**2 + 204*b = 0.
0, 204
Factor 5*a**2/3 - 157*a/3 + 62/3.
(a - 31)*(5*a - 2)/3
Factor l**3/4 + 11*l**2 + 85*l/4 + 21/2.
(l + 1)**2*(l + 42)/4
Solve 3*o**2/5 + 8257*o/5 + 2752/5 = 0.
-2752, -1/3
Factor 3*g**3/7 - 39*g**2/7 + 36*g/7.
3*g*(g - 12)*(g - 1)/7
Solve -3*r**3 + 237*r**2 - 4797*r + 4563 = 0.
1, 39
Factor -324*l**5 + 2772*l**4 + 1280*l**3 + 144*l**2.
-4*l**2*(l - 9)*(9*l + 2)**2
Factor 2*y**3/7 - 30*y**2/7 + 108*y/7 - 80/7.
2*(y - 10)*(y - 4)*(y - 1)/7
Factor 2*g**2/5 + 22*g/5 - 24/5.
2*(g - 1)*(g + 12)/5
Factor 3*k**3/4 - 21*k**2/4 - 33*k.
3*k*(k - 11)*(k + 4)/4
Find v, given that 2*v**5 + 776*v**4 + 4610*v**3 + 9956*v**2 + 9176*v + 3056 = 0.
-382, -2, -1
Let 2*b**5/5 + 4*b**4/5 - 4*b**3/5 - 8*b**2/5 + 2*b/5 + 4/5 = 0. What is b?
-2, -1, 1
Solve -2*w**2/21 - 404*w/21 - 20402/21 = 0 for w.
-101
Factor 972*x**5 - 1539*x**4 + 900*x**3 - 688*x**2/3 + 64*x/3.
x*(4*x - 1)*(9*x - 4)**3/3
Factor h**2/4 + 5*h/4 - 3/2.
(h - 1)*(h + 6)/4
Determine p, given that -2*p**2/11 + 1964*p/11 + 3936/11 = 0.
-2, 984
Factor 3*b**4 - 273*b**3 + 5484*b**2 + 33408*b + 27648.
3*(b - 48)**2*(b + 1)*(b + 4)
Factor 4*j**3/7 + 180*j**2/7 + 512*j/7 + 48.
4*(j + 1)*(j + 2)*(j + 42)/7
Solve d**5 - 44*d**4 - 188*d**3 - 192*d**2 = 0.
-2, 0, 48
Find t, given that 21*t**3 - 300*t**2 + 357*t - 78 = 0.
2/7, 1, 13
Solve 2*p**4 + 142*p**3 - 440*p**2 + 296*p = 0.
-74, 0, 1, 2
Suppose 5*p**2 + 80*p + 75 = 0. What is p?
-15, -1
Factor 4*x**4 + 312*x**3 + 7668*x**2 + 61776*x + 156816.
4*(x + 6)**2*(x + 33)**2
Factor -4*c**3/5 - 212*c**2/5 - 408*c/5.
-4*c*(c + 2)*(c + 51)/5
Let -22*h**3/9 + 28*h**2/3 + 16*h/9 = 0. What is h?
-2/11, 0, 4
Factor -2*r**2 + 146*r - 144.
-2*(r - 72)*(r - 1)
Determine r, given that 3*r**5/7 + 15*r**4/7 - 3*r**3 - 159*r**2/7 - 54*r/7 + 216/7 = 0.
-4, -3, -2, 1, 3
Suppose 4*x**2 - 84*x + 320 = 0. What is x?
5, 16
Factor 3*b**2 + 66*b + 120.
3*(b + 2)*(b + 20)
Factor -38*p**4/13 + 24*p**3/13.
-2*p**3*(19*p - 12)/13
Let -18*k**5 + 346*k**4 - 2128*k**3 + 4488*k**2 - 3200*k + 512 = 0. Calculate k.
2/9, 1, 2, 8
Find m, given that 3*m**2/8 + 45*m/2 + 513/8 = 0.
-57, -3
Solve t**4/8 + 3*t**3/4 - t**2/8 - 3*t/4 = 0.
-6, -1, 0, 1
Find u such that 2*u**2 - 14*u + 20 = 0.
2, 5
Suppose 7*h**3 + 47*h**2 + 56*h - 20 = 0. Calculate h.
-5, -2, 2/7
Determine t so that -t**2/7 + 34*t/7 + 48 = 0.
-8, 42
Factor -5*o**3 + 405*o**2 - 8400*o + 8000.
-5*(o - 40)**2*(o - 1)
Factor 2*z**2 - 90*z - 288.
2*(z - 48)*(z + 3)
Factor 2*p**5/5 - 2*p**4 + 8*p**3/5.
2*p**3*(p - 4)*(p - 1)/5
Let -5*j**3/3 + 365*j**2/3 + 5*j/3 - 365/3 = 0. What is j?
-1, 1, 73
Factor 4*b**3 - 23*b**2 + 39*b - 18.
(b - 3)*(b - 2)*(4*b - 3)
Factor -2*z**3 - 16*z**2 - 18*z + 36.
-2*(z - 1)*(z + 3)*(z + 6)
Find o, given that -3*o**3/7 - 69*o**2 - 954*o/7 = 0.
-159, -2, 0
Factor -3*y**4/8 + 3*y**3/4 + 3*y**2/2 - 3*y.
-3*y*(y - 2)**2*(y + 2)/8
Determine l, given that -l**2/4 + 56*l - 223/4 = 0.
1, 223
Factor -z**2/7 + 45*z/7 - 164/7.
-(z - 41)*(z - 4)/7
Factor -4*b**5 + 16*b**4 + 20*b**3.
-4*b**3*(b - 5)*(b + 1)
Determine t, given that t**3 + 303*t**2 + 30603*t + 1030301 = 0.
-101
Factor 4*i**2/3 - 88*i/3 + 160/3.
4*(i - 20)*(i - 2)/3
Determine u so that u**3 + 4*u**2 + 4*u = 0.
-2, 0
Factor 2*j**2 - 128*j + 366.
2*(j - 61)*(j - 3)
Let 3*z**2/5 - 744*z/5 + 741/5 = 0. Calculate z.
1, 247
Suppose p**3 + 11142*p**2 + 41381388*p + 51230158344 = 0. What is p?
-3714
Let -d**2 - 8*d + 9 = 0. What is d?
-9, 1
Factor -2*v**2 - 2762*v/7 - 788/7.
-2*(v + 197)*(7*v + 2)/7
Determine c so that 5*c**4 - 245*c**3 - 2255*c**2 - 1495*c + 3990 = 0.
-7, -2, 1, 57
Find j, given that -2*j**3 - 550*j**2 + 552*j = 0.
-276, 0, 1
Suppose 5*q**5 - 10*q**4 - 5*q**3 + 10*q**2 = 0. Calculate q.
-1, 0, 1, 2
Factor f**3/6 - 21*f**2/2 + 341*f/2 - 961/6.
(f - 31)**2*(f - 1)/6
Suppose -5*a**4 + 28*a**3 + 437*a**2 + 560*a + 156 = 0. What is a?
-6, -1, -2/5, 13
Factor -k**2 + 21*k - 38.
-(k - 19)*(k - 2)
Determine n, given that -8*n**4/9 - 2*n**3 + 724*n**2/9 - 70*n - 1364/9 = 0.
-11, -1, 2, 31/4
Factor -2*y**2/3 - 44*y/3 - 14.
-2*(y + 1)*(y + 21)/3
Solve -20*c**3 - 105*c**2 - 145*c - 30 = 0.
-3, -2, -1/4
Find w such that -20*w**2 - 176*w/5 + 48/5 = 0.
-2, 6/25
Let -z**3 - 11*z**2 - 10*z = 0. Calculate z.
-10, -1, 0
Find d such that d**4 + d**3 - 3*d**2 - 5*d - 2 = 0.
-1, 2
Determine v so that -2*v**4 + 62*v**3 - 226*v**2 + 274*v - 108 = 0.
1, 2, 27
Let 8*s**2 + 70*s - 18 = 0. Calculate s.
-9, 1/4
Factor u**4/8 - 2*u**3 - 123*u**2/8 - 99*u/4.
u*(u - 22)*(u + 3)**2/8
Factor -100*t**5/3 + 92*t**4 - 76*t**3 + 28*t**2/3 + 8*t.
-4*t*(t - 1)**3*(25*t + 6)/3
Factor u**2/3 - 13*u - 40/3.
(u - 40)*(u + 1)/3
Suppose -5*o**2 + 26600*o - 35378000 = 0. What is o?
2660
Suppose -5*z**3 + 335*z**2 - 5775*z + 5445 = 0. Calculate z.
1, 33
Factor -g**5/4 + g**4/2 + 12*g**3.
-g**3*(g - 8)*(g + 6)/4
Factor 3*p**4 - 531*p**3 + 1050*p**2.
3*p**2*(p - 175)*(p - 2)
Suppose 3*y**5 - 41*y**4 + 55*y**3 + 65*y**2 - 58*y - 24 = 0. What is y?
-1, -1/3, 1, 2, 12
Find n, given that n**5/2 - 3*n**4 - n**3/2 + 3*n**2 = 0.
-1, 0, 1, 6
Let -4*b**4 - 284*b**3 - 2440*b**2 = 0. What is b?
-61, -10, 0
Factor -10*s**2 - 15*s + 25.
-5*(s - 1)*(2*s + 5)
Factor -m**4/6 + 53*m**3/6 - 39*m**2 - 48*m.
-m*(m - 48)*(m - 6)*(m + 1)/6
Find k, given that -2*k**4/13 + 34*k**3/13 + 74*k**2/13 + 38*k/13 = 0.
-1, 0, 19
Factor r**4 - 52*r**3 + 242*r**2 - 332*r + 141.
(r - 47)*(r - 3)*(r - 1)**2
Suppose -3*l**5 - 141*l**4 - 594*l**3 + 50820*l**2 + 606936*l = 0. 