*w**2/9 + 2*w/9.
-w*(w - 2)*(3*w + 1)/9
Factor -31*z**5/10 - 6*z**4 - 27*z**3/10 + z**2/5.
-z**2*(z + 1)**2*(31*z - 2)/10
Suppose -8*w**4/17 + 62*w**3/17 - 120*w**2/17 + 46*w/17 + 20/17 = 0. What is w?
-1/4, 1, 2, 5
Factor -n**2/3 - 152*n/3 - 5776/3.
-(n + 76)**2/3
Suppose 2*s**5/17 - 30*s**4/17 + 64*s**3/17 + 96*s**2/17 = 0. Calculate s.
-1, 0, 4, 12
Factor -427*m**2 + 2*m.
-m*(427*m - 2)
Determine l, given that -l**2/10 + 6*l/5 - 2 = 0.
2, 10
Find o, given that -4*o**5 - 84*o**4 - 680*o**3 - 2600*o**2 - 4500*o - 2500 = 0.
-5, -1
Factor 5*c**4 + 25*c**3 + 45*c**2 + 35*c + 10.
5*(c + 1)**3*(c + 2)
Determine m so that 3*m**3 + 3*m**2 - 3*m - 3 = 0.
-1, 1
Suppose -2*t**4/11 + 36*t**3/11 - 94*t**2/11 + 60*t/11 = 0. Calculate t.
0, 1, 2, 15
Factor -3*o**5 + 18*o**4 + 288*o**3 + 672*o**2.
-3*o**2*(o - 14)*(o + 4)**2
Solve p**4/6 + 62*p**3/3 + 41*p**2/2 = 0.
-123, -1, 0
Solve 2*q**3/21 - 40*q**2/21 - 86*q/21 - 44/21 = 0.
-1, 22
Factor 15*z**4 - 35*z**3 - 110*z**2 + 40*z.
5*z*(z - 4)*(z + 2)*(3*z - 1)
Solve 4*b**3/5 + 1964*b**2/5 - 1976*b/5 - 3936/5 = 0 for b.
-492, -1, 2
Let -5*i**5 + 10*i**4 + 55*i**3 - 40*i**2 - 100*i + 80 = 0. Calculate i.
-2, 1, 4
What is i in i**5/9 + 14*i**4/9 + 23*i**3/3 + 136*i**2/9 + 80*i/9 = 0?
-5, -4, -1, 0
Factor -l**3 + 1266*l**2 - 534252*l + 75151448.
-(l - 422)**3
Factor 4*r**3/7 - 72*r**2/7 + 132*r/7 - 64/7.
4*(r - 16)*(r - 1)**2/7
Suppose 5*r**5 - 395*r**4 + 9410*r**3 - 64710*r**2 + 174825*r - 165375 = 0. Calculate r.
3, 35
Solve -4*q**5 + 8*q**4 + 12*q**3 - 32*q**2 + 16*q = 0 for q.
-2, 0, 1, 2
Factor 2*v**2/7 - 264*v/7 + 216.
2*(v - 126)*(v - 6)/7
Factor -g**4/11 + 14*g**3/11 + 49*g**2/11 + 34*g/11.
-g*(g - 17)*(g + 1)*(g + 2)/11
Determine l, given that -1203*l**3/5 + 723*l**2 - 2424*l/5 + 12/5 = 0.
2/401, 1, 2
Solve -5*b**5 + 150*b**4 - 1725*b**3 + 9400*b**2 - 24000*b + 23040 = 0.
3, 8
Suppose 2*o**2/11 - 114*o/11 + 112/11 = 0. What is o?
1, 56
Suppose 4*r**5/3 - 16*r**4 + 188*r**3/3 - 208*r**2/3 - 64*r + 256/3 = 0. What is r?
-1, 1, 4
Factor -25*m**3 - 995*m**2 - 1730*m - 760.
-5*(m + 1)*(m + 38)*(5*m + 4)
Let 4*v**3 + 60*v**2 + 152*v + 96 = 0. Calculate v.
-12, -2, -1
Solve -2*d**3/9 - 5692*d**2/9 - 5690*d/9 = 0.
-2845, -1, 0
Factor 2*z**2/19 - 198*z/19.
2*z*(z - 99)/19
What is f in -f**3 + f**2 + 57*f + 135 = 0?
-5, -3, 9
Let -3*d**2 - 3150*d - 826875 = 0. What is d?
-525
Factor -2*d**4/5 - 6*d**3 - 124*d**2/5 - 96*d/5.
-2*d*(d + 1)*(d + 6)*(d + 8)/5
Factor 2*q**2/7 - 18/7.
2*(q - 3)*(q + 3)/7
What is i in -5*i**3 + 150*i**2 - 285*i + 140 = 0?
1, 28
Factor 4*k**4 - 96*k**3 + 828*k**2 - 3024*k + 3888.
4*(k - 9)*(k - 6)**2*(k - 3)
Solve 15*r**5 + 125*r**4 + 395*r**3 + 595*r**2 + 430*r + 120 = 0.
-3, -2, -4/3, -1
Let 2*h**3 - 46*h**2 - 1248*h + 28800 = 0. What is h?
-25, 24
Factor z**4/3 + 29*z**3/3 + 230*z**2/3 + 604*z/3 + 168.
(z + 2)**2*(z + 7)*(z + 18)/3
Find m, given that -5*m**2 + 11660*m - 11655 = 0.
1, 2331
Let -2*b**5 - 8*b**4 + 4*b**3 + 16*b**2 - 2*b - 8 = 0. Calculate b.
-4, -1, 1
Let -4*p**3/3 + 3640*p**2/3 + 29312*p/3 + 19584 = 0. Calculate p.
-4, 918
Factor k**4 - 70*k**3 + 1292*k**2 - 2312*k.
k*(k - 34)**2*(k - 2)
Let x**3/4 - x**2 + 5*x/4 - 1/2 = 0. Calculate x.
1, 2
Factor 2*i**4/7 - 26*i**3/7 + 10*i**2 + 14*i.
2*i*(i - 7)**2*(i + 1)/7
What is o in o**3/2 + o**2 = 0?
-2, 0
What is c in 3*c**2 - 369*c - 372 = 0?
-1, 124
Factor -5*x**3 + 5*x.
-5*x*(x - 1)*(x + 1)
Factor 4*q**5 - 24*q**4 + 44*q**3 - 8*q**2 - 48*q + 32.
4*(q - 2)**3*(q - 1)*(q + 1)
Find c such that -2*c**4/11 - 180*c**3/11 + 1374*c**2/11 + 1552*c/11 = 0.
-97, -1, 0, 8
Determine l, given that -15*l**4/2 - 271*l**3 + 479*l**2/2 - 37*l = 0.
-37, 0, 1/5, 2/3
Factor -4*r**3 + 48*r**2 - 44*r.
-4*r*(r - 11)*(r - 1)
Let 12*y**5 - 57*y**4 + 33*y**3 + 12*y**2 = 0. What is y?
-1/4, 0, 1, 4
Determine m so that m**2 - 49*m + 48 = 0.
1, 48
Find j such that -2*j**5/13 + 48*j**4/13 - 16*j**3 + 356*j**2/13 - 270*j/13 + 76/13 = 0.
1, 2, 19
Solve 2*h**3 + 20*h**2 + 48*h = 0 for h.
-6, -4, 0
Factor 25*c**4 + 160*c**3 - 315*c**2 + 50*c + 80.
5*(c - 1)**2*(c + 8)*(5*c + 2)
Find a, given that -a**4/11 - 9*a**3/11 + 10*a**2/11 = 0.
-10, 0, 1
Let p**3 + 64*p**2 - 67*p - 130 = 0. What is p?
-65, -1, 2
Factor v**2/5 - 13*v/5 - 6.
(v - 15)*(v + 2)/5
What is o in 4*o**2 - 532*o + 1048 = 0?
2, 131
Factor -2*o**2 + 604*o + 606.
-2*(o - 303)*(o + 1)
Solve 21*c**3 + 678*c**2 - 1236*c - 408 = 0.
-34, -2/7, 2
Factor 4*z**3 - 2580*z**2 + 554700*z - 39753500.
4*(z - 215)**3
Solve u**3/6 - 14*u**2/3 + 80*u/3 = 0 for u.
0, 8, 20
Determine d so that -4*d**2 - 23384*d - 34175716 = 0.
-2923
Determine j, given that -2*j**4 - 10*j**3 - 16*j**2 - 8*j = 0.
-2, -1, 0
Let -4*r**3 + 4*r**2 + 32*r - 48 = 0. What is r?
-3, 2
Factor 243*h**4 + 378*h**3 + 39*h**2 - 84*h + 12.
3*(h + 1)**2*(9*h - 2)**2
Determine l so that 4437351*l**4 - 112338*l**3 + 948*l**2 - 8*l/3 = 0.
0, 2/237
Determine x so that -2*x**2 + 464*x - 26912 = 0.
116
Determine c so that -6*c**5/7 - 40*c**4/7 - 76*c**3/7 - 24*c**2/7 + 18*c/7 = 0.
-3, -1, 0, 1/3
Suppose -3*q**4 + 33*q**3 - 72*q**2 - 108*q = 0. What is q?
-1, 0, 6
Factor 2*f**4/3 - 82*f**3.
2*f**3*(f - 123)/3
Let 25*u**2 + 1065*u - 430 = 0. What is u?
-43, 2/5
Determine a, given that -a**4/6 + 27*a**3 - 2187*a**2/2 = 0.
0, 81
Factor -g**4 + 18*g**3 - 92*g**2 + 120*g.
-g*(g - 10)*(g - 6)*(g - 2)
Factor -4*t**3 - 880*t**2 - 876*t.
-4*t*(t + 1)*(t + 219)
Find h, given that -3*h**2 + 9093*h = 0.
0, 3031
Factor 5*r**2 - 50*r.
5*r*(r - 10)
Solve 20*b**5/3 + 2122*b**4/3 + 49598*b**3/3 - 359540*b**2/3 + 292544*b/3 - 62720/3 = 0.
-56, 2/5, 1/2, 5
Factor -f**4/7 + f**3/7 + 3*f**2/7 - f/7 - 2/7.
-(f - 2)*(f - 1)*(f + 1)**2/7
Factor -3*b**2/5 - 36*b + 183/5.
-3*(b - 1)*(b + 61)/5
Find b, given that -2*b**5/3 + 8*b**4/3 - 2*b**3 = 0.
0, 1, 3
Let -5*k**2/2 + 545*k/2 + 2030 = 0. What is k?
-7, 116
What is u in -4*u**2 + 40*u - 96 = 0?
4, 6
Determine c, given that c**2 - 6*c = 0.
0, 6
Find z such that -4*z**2 - 5232*z - 1710864 = 0.
-654
Factor 4*f**3 + 48*f**2 - 924*f - 968.
4*(f - 11)*(f + 1)*(f + 22)
Factor -s**3/6 - 3*s**2 + 19*s/6.
-s*(s - 1)*(s + 19)/6
Solve 2*o**2/9 + 280*o/3 + 9800 = 0 for o.
-210
Factor 2*c**3/13 - 20*c**2/13 + 62*c/13 - 60/13.
2*(c - 5)*(c - 3)*(c - 2)/13
Factor 45*h**4 + 190*h**3 + 175*h**2 + 30*h.
5*h*(h + 1)*(h + 3)*(9*h + 2)
Solve -5*b**5 - 20*b**4 + 15*b**3 + 110*b**2 + 20*b - 120 = 0.
-3, -2, 1, 2
Suppose -5*u**2 + 10*u = 0. Calculate u.
0, 2
Solve -q**2/5 + 8*q/5 - 7/5 = 0 for q.
1, 7
Find r such that 9*r**5 + 60*r**4 + 87*r**3 - 36*r**2 = 0.
-4, -3, 0, 1/3
Factor -4*p**2 + 3344*p - 698896.
-4*(p - 418)**2
Let z**3/5 + 2*z**2/5 - 3*z/5 = 0. What is z?
-3, 0, 1
Solve w**3/10 - 6*w**2/5 - 2*w/5 + 24 = 0 for w.
-4, 6, 10
Let 2*d**5/9 + 976*d**4/9 + 39364*d**3/3 - 239120*d**2/9 + 120050*d/9 = 0. Calculate d.
-245, 0, 1
What is a in -4*a**2 + 32*a = 0?
0, 8
Factor -2*b**3/3 + 6*b**2 - 16*b + 40/3.
-2*(b - 5)*(b - 2)**2/3
Factor 2*d**3 - 46*d**2 - 514*d + 558.
2*(d - 31)*(d - 1)*(d + 9)
Factor j**3 + 20*j**2 + 89*j + 70.
(j + 1)*(j + 5)*(j + 14)
What is i in 3*i**5 - 15*i**4 - 21*i**3 + 15*i**2 + 18*i = 0?
-1, 0, 1, 6
Factor t**2/5 + 18*t/5 - 19/5.
(t - 1)*(t + 19)/5
Factor -5*j**2/4 - 89*j/4 + 217.
-(j - 7)*(5*j + 124)/4
Suppose -2*q**5/3 + 4*q**4 - 14*q**3/3 - 4*q**2 + 16*q/3 = 0. What is q?
-1, 0, 1, 2, 4
Find r, given that 4*r**4 + 20*r**3 + 28*r**2 + 12*r = 0.
-3, -1, 0
Determine k so that -2*k**5 - 322*k**4 - 636*k**3 + 4*k**2 + 638*k + 318 = 0.
-159, -1, 1
Find p such that -4*p**3 - 68*p**2 - 64*p = 0.
-16, -1, 0
What is n in -2*n**2/9 - 26*n/9 - 8/3 = 0?
-12, -1
Determine u, given that -3*u**4/2 - 315*u**3/8 - 9*u**2/2 + 1065*u/8 - 351/4 = 0.
-26, -9/4, 1
Let 4*z**3 - 340*z**2 + 6688*z + 23232 = 0. Calculate z.
-3, 44
Solve q**5 + 12*q**4 + 45*q**3 + 50*q**2 = 0 for q.
-5, -2, 0
Factor -2*r**4/7 - 58*r**3/7 + 60*r**2/7.
-2*r**2*(r - 1)*(r + 30)/7
Factor -4*c**2 + 456*c - 12996.
-4*(c - 57)**2
Suppose 3*u**5 + 90*u**4 - 1368*u**3 + 5808*u**2 - 9936*u + 6048 = 0. Calculate u.
-42, 2, 6
Find g such that 324*g**3 - 3384*g**2 + 1456*g - 160 = 0.
2/9, 10
Determine v so that -3*v**3/7 - 33*v**2/7 - 102*v/7 - 72/7 = 0.
-6, -4, -1
Find p, given that -4*p**5 - 28*p**4 - 52*p**3 - 4*p**2 + 56*p + 32 = 0.
-4, -2, -1, 1
Factor s**5/2 - 11*s**4 +