2/3 - 109*f/3 + 55/3.
(f - 1)**2*(f + 55)/3
Factor 3*l**3 + 297*l**2 + 7497*l + 7203.
3*(l + 1)*(l + 49)**2
Factor 3*m**4 + 33*m**3 + 126*m**2 + 204*m + 120.
3*(m + 2)**3*(m + 5)
Find s, given that 2*s**2 - 1272*s = 0.
0, 636
Determine z so that 2*z**4/9 - 50*z**2/9 = 0.
-5, 0, 5
Determine n so that n**5 - 329*n**4 + 37534*n**3 - 1636110*n**2 + 17827425*n - 56723625 = 0.
7, 105
Solve b**5 + b**4 - 3*b**3 - 5*b**2 - 2*b = 0 for b.
-1, 0, 2
Let 2*c**5/7 + 24*c**4/7 - 36*c**3/7 - 136*c**2/7 - 78*c/7 = 0. What is c?
-13, -1, 0, 3
Factor -9*k**4/8 + 19*k**3/4 - 35*k**2/8 + 3*k/4.
-k*(k - 3)*(k - 1)*(9*k - 2)/8
Determine j so that -14*j**4/17 + 862*j**3/17 - 13082*j**2/17 - 5766*j/17 = 0.
-3/7, 0, 31
Factor -k**3/4 - k**2 - k.
-k*(k + 2)**2/4
Solve 2*h**4/21 + 6*h**3/7 - 10*h**2/7 - 106*h/21 - 20/7 = 0.
-10, -1, 3
Suppose 98*h**5/9 + 644*h**4/9 + 638*h**3/9 - 764*h**2/9 - 536*h/9 - 80/9 = 0. Calculate h.
-5, -2, -2/7, 1
Find v, given that -6*v**5 - 14*v**4 + 50*v**3 + 30*v**2 - 44*v - 16 = 0.
-4, -1, -1/3, 1, 2
Factor 80*l**2 - 154*l - 12.
2*(l - 2)*(40*l + 3)
Suppose -2*j**2/5 + 24*j/5 - 22/5 = 0. What is j?
1, 11
Let 4*c**3 + 36*c**2 + 92*c + 60 = 0. What is c?
-5, -3, -1
Let 4*i**3 + 372*i**2 - 376*i = 0. What is i?
-94, 0, 1
Find i such that 3*i**2 - 300*i - 1248 = 0.
-4, 104
Solve 4*v**2 - 12576*v + 9884736 = 0.
1572
Factor 25*b**4/9 - 1685*b**3/3 - 1352*b**2/3 - 812*b/9.
b*(b - 203)*(5*b + 2)**2/9
Let 2*x**3/13 + 8*x**2/13 - 2*x/13 - 8/13 = 0. What is x?
-4, -1, 1
Factor -h**5/4 + 655*h**4/4 - 85805*h**3/2 + 11240455*h**2/2 - 1472499605*h/4 + 38579489651/4.
-(h - 131)**5/4
Factor -4*d**2/7 - 380*d/7 + 384/7.
-4*(d - 1)*(d + 96)/7
Factor -3*j**4 - 285*j**3 - 276*j**2 + 564*j.
-3*j*(j - 1)*(j + 2)*(j + 94)
Let u**5/3 - 6*u**4 + 97*u**3/3 - 48*u**2 + 64*u/3 = 0. Calculate u.
0, 1, 8
Find t, given that 4*t**3 + 20*t**2 - 52*t + 28 = 0.
-7, 1
Solve 2*s**2/9 - 28*s/3 + 370/9 = 0.
5, 37
Factor -b**3/10 - 519*b**2/10 - 67599*b/10 - 67081/10.
-(b + 1)*(b + 259)**2/10
Solve -d**2/2 - 7*d = 0.
-14, 0
Factor u**4 + 275*u**3 + 18766*u**2 - 19596*u - 38088.
(u - 2)*(u + 1)*(u + 138)**2
What is w in -w**4/3 - w**3 + w**2 + 7*w/3 - 2 = 0?
-3, -2, 1
What is c in -4*c**2/3 + 154*c/9 + 26/9 = 0?
-1/6, 13
Let g**2 + 3400*g - 3401 = 0. What is g?
-3401, 1
Let -15*x**4/4 + 115*x**3/4 + 385*x**2/2 + 40*x - 120 = 0. What is x?
-4, -1, 2/3, 12
Suppose 2*d**2 - 174*d - 540 = 0. What is d?
-3, 90
Factor 2*b**2 - 44*b + 210.
2*(b - 15)*(b - 7)
Factor t**3/5 + 203*t**2/5 + 10403*t/5 + 10201/5.
(t + 1)*(t + 101)**2/5
Factor -4*o**3 - 100*o**2 - 264*o.
-4*o*(o + 3)*(o + 22)
What is n in n**5/9 - 13*n**4/9 - 121*n**3/9 + 133*n**2/9 = 0?
-7, 0, 1, 19
Solve 9*k**3 + 25*k**2 + 12*k - 4 = 0 for k.
-2, -1, 2/9
Solve -3*m**4 - 24*m**3 - 66*m**2 - 72*m - 27 = 0 for m.
-3, -1
Factor 2*p**4/7 + 22*p**3/7 - 16*p**2 + 120*p/7.
2*p*(p - 2)**2*(p + 15)/7
Factor -4*g**4 - 12*g**3 + 16*g.
-4*g*(g - 1)*(g + 2)**2
Determine m so that -m**2/2 - 87*m/2 - 43 = 0.
-86, -1
Determine d, given that d**4/8 - 565*d**3/4 + 423*d**2 - 1691*d/4 + 1127/8 = 0.
1, 1127
Let -3*u**3/4 + 249*u**2/2 + 2547*u/4 + 1539/2 = 0. Calculate u.
-3, -2, 171
What is a in a**5 + 13*a**4 - 87*a**3 + 63*a**2 + 162*a = 0?
-18, -1, 0, 3
Factor 4*a**2/3 + 40*a/3 + 100/3.
4*(a + 5)**2/3
Find m, given that m**5/3 + 19*m**4/3 - 18*m**3 - 266*m**2/3 - 299*m/3 - 35 = 0.
-21, -1, 5
Factor -18*a**3 - 392*a**2 + 5848*a - 1280.
-2*(a - 10)*(a + 32)*(9*a - 2)
Let 208*l**4/7 + 776*l**3/7 + 35*l**2 - 281*l/7 + 6 = 0. Calculate l.
-42/13, -1, 1/4
Determine g so that 5*g**3 - 190*g**2 + 1600*g + 4000 = 0.
-2, 20
Determine g, given that -2*g**3/3 - 368*g**2/9 - 118*g/9 + 244/9 = 0.
-61, -1, 2/3
Factor -2*w**3/3 - 2*w**2/3 + 28*w/3 + 16.
-2*(w - 4)*(w + 2)*(w + 3)/3
Factor -2*s**5/3 - 2*s**4 - 2*s**3 - 2*s**2/3.
-2*s**2*(s + 1)**3/3
Factor t**3/3 + 2*t**2 - 9*t - 140/3.
(t - 5)*(t + 4)*(t + 7)/3
Solve 5*u**4/2 + u**3 - 14*u**2 + 15*u - 9/2 = 0.
-3, 3/5, 1
Factor 4*t**2 + 230*t - 234.
2*(t - 1)*(2*t + 117)
Suppose 5*d**2 + 580*d + 16820 = 0. Calculate d.
-58
Factor 3*a**3/2 + 3*a**2 - 33*a/2 - 18.
3*(a - 3)*(a + 1)*(a + 4)/2
Determine w so that -30*w**5 - 109*w**4/3 + 1078*w**3/3 + 247*w**2/3 - 202*w/3 - 8 = 0.
-4, -1/2, -1/9, 2/5, 3
Solve 2*g**5 + 154*g**4 - 652*g**3 - 300*g**2 + 1962*g + 1458 = 0.
-81, -1, 3
Solve 16*c**3 + 674*c**2 + 4004*c + 490 = 0 for c.
-35, -7, -1/8
Let -35*l**2 + 25735*l - 7350 = 0. What is l?
2/7, 735
Factor r**5 - 4*r**4 + 4*r**3 + 2*r**2 - 5*r + 2.
(r - 2)*(r - 1)**3*(r + 1)
Factor 2*v**3 - 44*v**2 + 30*v + 252.
2*(v - 21)*(v - 3)*(v + 2)
Factor 6*z**3/11 + 306*z**2/11 - 654*z/11 - 954/11.
6*(z - 3)*(z + 1)*(z + 53)/11
Find c such that c**4 - 11*c**3 + 39*c**2 - 45*c = 0.
0, 3, 5
Suppose 2*x**4/5 + 16*x**3/5 + 42*x**2/5 + 44*x/5 + 16/5 = 0. What is x?
-4, -2, -1
What is b in 3*b**2/4 + 21*b - 87/4 = 0?
-29, 1
Suppose -12*t**2 - 972*t - 19683 = 0. Calculate t.
-81/2
Factor -28*t**4 + 16*t**3 + 68*t**2 + 24*t.
-4*t*(t - 2)*(t + 1)*(7*t + 3)
What is f in 4*f**2/5 - 24*f + 224/5 = 0?
2, 28
Factor -2*a**3/3 - 70*a**2/3 - 176*a/3 + 2904.
-2*(a - 9)*(a + 22)**2/3
Factor 2*z**5 + 10*z**4 - 16*z**3 - 24*z**2.
2*z**2*(z - 2)*(z + 1)*(z + 6)
Suppose -a**4/4 - 3*a**3/4 + a**2 + 3*a = 0. Calculate a.
-3, -2, 0, 2
Factor 2*f**2 - 1088*f + 147968.
2*(f - 272)**2
Find s such that -4*s**3/5 - 164*s**2/5 - 876*s/5 - 252 = 0.
-35, -3
Solve -15*l**5/2 - 79*l**4/3 + 649*l**3/6 - 89*l**2/3 - 122*l/3 - 4 = 0 for l.
-6, -2/5, -1/9, 1, 2
Factor -a**4/3 - 11*a**3 - 116*a**2/3.
-a**2*(a + 4)*(a + 29)/3
Suppose 14*r**4/9 + 4*r**3 - 8*r**2/3 - 80*r/9 = 0. Calculate r.
-2, 0, 10/7
Determine h so that 2*h**5/11 - 34*h**4/11 + 158*h**3/11 - 166*h**2/11 - 160*h/11 + 200/11 = 0.
-1, 1, 2, 5, 10
Factor 2*d**2/7 + 2*d + 12/7.
2*(d + 1)*(d + 6)/7
Factor -3*n**3 + 9*n**2 - 12.
-3*(n - 2)**2*(n + 1)
Factor w**2/3 - 88*w/3 - 89/3.
(w - 89)*(w + 1)/3
Find h such that h**4/2 - 5*h**3/2 + 9*h**2/2 - 7*h/2 + 1 = 0.
1, 2
Factor -j**4 + 120*j**3 + 617*j**2 + 996*j + 500.
-(j - 125)*(j + 1)*(j + 2)**2
Find m such that 2*m**3/7 + 134*m**2/7 + 262*m/7 + 130/7 = 0.
-65, -1
Factor -5*v**2 + 10*v + 40.
-5*(v - 4)*(v + 2)
Factor -x**3 - 418*x**2/5 - 247*x/5 + 166/5.
-(x + 1)*(x + 83)*(5*x - 2)/5
Suppose z**3/4 + z**2 = 0. Calculate z.
-4, 0
Let -2*i**5 - 2*i**4 + 10*i**3 + 10*i**2 - 8*i - 8 = 0. Calculate i.
-2, -1, 1, 2
What is i in -i**3 - 5*i**2 + 22*i + 56 = 0?
-7, -2, 4
Let -3*m**3/2 + 33*m**2/2 + 129*m - 144 = 0. What is m?
-6, 1, 16
Factor 15*j**4/4 + 175*j**3/2 + 660*j**2 + 1440*j - 1280.
5*(j + 8)**3*(3*j - 2)/4
Solve -5*g**4 - 100*g**3 - 585*g**2 - 810*g = 0 for g.
-9, -2, 0
Determine v so that -8*v**3/3 - 62*v**2/3 - 112*v/3 + 32/3 = 0.
-4, 1/4
Suppose g**3/7 + 9*g**2/7 = 0. What is g?
-9, 0
Let 2*d**2/5 - 700*d + 306250 = 0. Calculate d.
875
Suppose g**2/5 + 29*g/5 = 0. What is g?
-29, 0
Factor 3*i**3/7 + 29538*i**2/7 + 96943716*i/7 + 106056425304/7.
3*(i + 3282)**3/7
Factor -7*o**2 - 2756*o + 788.
-(o + 394)*(7*o - 2)
Let 6*j**4/7 + 8*j**3 + 174*j**2/7 + 28*j + 48/7 = 0. Calculate j.
-4, -3, -2, -1/3
Find b such that 2*b**3 + 330*b**2 + 18150*b + 332750 = 0.
-55
Suppose 4*f**4 + 52*f**3 + 48*f**2 = 0. What is f?
-12, -1, 0
Find w, given that -4*w**3 - 19284*w**2 + 19288*w = 0.
-4822, 0, 1
Suppose 9*u**4 + 15*u**3 - 141*u**2 - 279*u + 108 = 0. Calculate u.
-3, 1/3, 4
Factor -2*g**3/7 - 446*g**2/7 + 460*g.
-2*g*(g - 7)*(g + 230)/7
Suppose -2583*i**5 - 6969*i**4 - 5421*i**3 - 279*i**2 + 744*i - 12 = 0. What is i?
-1, 2/123, 2/7
Suppose j**2/4 + 7*j/2 + 49/4 = 0. What is j?
-7
Factor 3*n**5 + 9*n**4 - 51*n**3 - 117*n**2 - 60*n.
3*n*(n - 4)*(n + 1)**2*(n + 5)
Factor -2*s**2/5 + 114*s/5 + 236/5.
-2*(s - 59)*(s + 2)/5
Solve 236*c**2 - 464*c - 16 = 0 for c.
-2/59, 2
Solve -5*u**5/4 - 7695*u**4/4 - 2964495*u**3/4 - 2956805*u**2/4 = 0.
-769, -1, 0
Factor 125*a**4 + 275*a**3 - 280*a**2 + 60*a.
5*a*(a + 3)*(5*a - 2)**2
Find m such that 4*m**3/5 - 32*m**2/5 + 4*m + 56/5 = 0.
-1, 2, 7
Solve 3*h**3/2 + 39*h**2/2 + 48*h + 30 = 0 for h.
-10, -2, -1
Factor -6*v**2 - 67*v - 11.
-(v + 11)*(6*v + 1)
Determine y so that 3*y**3 - 33*y**2 + 12*y + 180 = 0.
-2, 3, 10
Determine y so that 3*y**2 - 9*y - 54 = 0.
-3, 6
What is k in -4*k**4/7 + 8*k**3 - 228*k**2/7 + 144*k/7 + 4