such that 5*w**4 + 21*w**3 + 4*w**2 = 0.
-4, -1/5, 0
Determine u so that 3*u**3/8 + 345*u**2/4 + 2043*u/8 = 0.
-227, -3, 0
Factor -147*b**4 + 1407*b**3 - 768*b**2 + 108*b.
-3*b*(b - 9)*(7*b - 2)**2
Find g, given that g**4 + 227*g**3 + 675*g**2 + 673*g + 224 = 0.
-224, -1
Factor 2*l**4/9 + 34*l**3/9 + 14*l**2 - 18*l.
2*l*(l - 1)*(l + 9)**2/9
What is c in -393*c**5 + 2763*c**4/4 + 8625*c**3/4 - 7533*c**2/4 - 2301*c/4 + 9/2 = 0?
-2, -1/4, 1/131, 1, 3
Factor i**5/3 - 3151*i**4/3 + 1102499*i**3 - 1154308045*i**2/3 - 2321871302*i/3.
i*(i - 1051)**3*(i + 2)/3
Find w such that 9*w**4 + 174*w**3 + 948*w**2 + 1026*w + 243 = 0.
-9, -1, -1/3
Let t**3/3 + 82*t**2/3 + 177*t + 150 = 0. What is t?
-75, -6, -1
Find f such that 9*f**5/7 - 15*f**4/7 - 83*f**3/7 - 13*f**2/7 + 38*f/7 - 8/7 = 0.
-2, -1, 1/3, 4
Determine q, given that -6*q**3 - 15*q**2 + 12*q + 9 = 0.
-3, -1/2, 1
Determine w so that 3*w**3 + 27*w**2 + 81*w + 81 = 0.
-3
Factor -4*t**4 - 28*t**3 + 32*t**2.
-4*t**2*(t - 1)*(t + 8)
What is u in -2*u**3/13 + 4*u**2/13 + 30*u/13 = 0?
-3, 0, 5
Factor -a**4/7 + 12*a**3/7 - 54*a**2/7 + 108*a/7 - 81/7.
-(a - 3)**4/7
Solve 3*q**2 - 3120*q + 811200 = 0.
520
Find r, given that -36*r**4 - 192*r**3 - 148*r**2 + 168*r - 32 = 0.
-4, -2, 1/3
Let -p**5/4 - 79*p**4/2 - 6241*p**3/4 = 0. What is p?
-79, 0
Factor -o**2 - 3252*o - 2643876.
-(o + 1626)**2
Factor 100*t**4 + 2320*t**3 + 12496*t**2 - 11136*t + 2304.
4*(t + 12)**2*(5*t - 2)**2
What is r in -12*r**4/5 + 28*r**3/5 + 132*r**2/5 - 252*r/5 - 216/5 = 0?
-3, -2/3, 3
Find g, given that g**3/2 + 83*g**2/2 - g/2 - 83/2 = 0.
-83, -1, 1
Find n such that -32*n**2/3 + 244*n + 92/3 = 0.
-1/8, 23
Factor -4*n**4/7 + 44*n**3/7 + 100*n**2/7 + 52*n/7.
-4*n*(n - 13)*(n + 1)**2/7
Determine k, given that -3*k**5 + 57*k**4 + 123*k**3 - 4053*k**2 - 8232*k - 4116 = 0.
-7, -1, 14
Suppose -100*i**5 - 2280*i**4 + 3024*i**3 + 3488*i**2 + 768*i = 0. Calculate i.
-24, -2/5, 0, 2
Factor 4*r**2 - 456*r.
4*r*(r - 114)
Let 3*g**3 - 141*g**2 + 840*g + 21168 = 0. Calculate g.
-9, 28
Let 2*a**5 + 10*a**4 - 82*a**3 + 166*a**2 - 136*a + 40 = 0. What is a?
-10, 1, 2
Let 2*s**5/7 - 181*s**4/7 + 37*s**3 + 709*s**2/7 + 267*s/7 = 0. What is s?
-1, -1/2, 0, 3, 89
Solve -5*t**3/2 + 1085*t**2/4 + 140*t - 1635/4 = 0 for t.
-3/2, 1, 109
Suppose 2*i**4 - 59*i**3/2 + 237*i**2/2 - 133*i/2 - 49/2 = 0. What is i?
-1/4, 1, 7
Determine u so that -1188*u**5 + 3624*u**4 - 368*u**3/3 - 168*u**2 - 12*u = 0.
-1/9, 0, 3/11, 3
Factor h**2/5 + 686*h/5 + 117649/5.
(h + 343)**2/5
Find y, given that -3*y**3 - 30*y**2 + 1836*y + 25272 = 0.
-18, 26
Find i such that -3*i**2 + 36*i = 0.
0, 12
Let 2*z**5 + 24*z**4 + 20*z**3 - 24*z**2 - 22*z = 0. Calculate z.
-11, -1, 0, 1
Factor 2*b**3 - 10*b**2 + 12*b.
2*b*(b - 3)*(b - 2)
Let 2*r**4/13 + 8*r**3/13 - 14*r**2/13 - 20*r/13 = 0. Calculate r.
-5, -1, 0, 2
Factor 3*o**3/7 - 4419*o**2/7 + 2169729*o/7 - 355112313/7.
3*(o - 491)**3/7
Factor 4*t**5/5 - 12*t**4/5 + 16*t**2/5.
4*t**2*(t - 2)**2*(t + 1)/5
Factor -2*o**2 - 1102*o.
-2*o*(o + 551)
Suppose 5*n**4 + 15*n**3 - 50*n**2 = 0. What is n?
-5, 0, 2
Factor -s**2/5 + 12*s - 59/5.
-(s - 59)*(s - 1)/5
Let 3*m**5 + 48*m**4 + 159*m**3 + 186*m**2 + 72*m = 0. What is m?
-12, -2, -1, 0
Solve 4*o**5 - 64*o**4 - 104*o**3 + 656*o**2 - 764*o + 272 = 0 for o.
-4, 1, 17
Suppose -5*a**3 - 145*a**2 - 715*a - 575 = 0. Calculate a.
-23, -5, -1
Factor 2*u**5/11 - 190*u**4/11 + 740*u**3/11 - 100*u**2 + 730*u/11 - 182/11.
2*(u - 91)*(u - 1)**4/11
Solve 4*o**3 - 5820*o**2 + 2822700*o - 456336500 = 0 for o.
485
Factor 2*k**3/5 - 2*k**2/5 - 18*k/5 + 18/5.
2*(k - 3)*(k - 1)*(k + 3)/5
Let 24*j**5/5 - 644*j**4/5 - 788*j**3/5 + 104*j**2/5 + 224*j/5 = 0. Calculate j.
-1, -2/3, 0, 1/2, 28
Find l such that -3*l**4/2 + l**3 + 10*l**2/3 + 4*l/3 = 0.
-2/3, 0, 2
Factor 3*r**4 + 18*r**3 + 33*r**2 + 18*r.
3*r*(r + 1)*(r + 2)*(r + 3)
Factor 5*w**3 - 420*w**2 + 4500*w + 200000.
5*(w - 50)**2*(w + 16)
Find k, given that k**4/9 + 44*k**3/9 + 455*k**2/9 + 1072*k/9 + 220/3 = 0.
-30, -11, -2, -1
Factor -4*z**3 - 48*z**2 - 84*z + 392.
-4*(z - 2)*(z + 7)**2
What is i in 2*i**2 + 848*i + 89888 = 0?
-212
Determine h, given that -3*h**4/2 + 765*h**3/8 - 12087*h**2/8 - 456*h + 1152 = 0.
-1, 3/4, 32
Suppose 10*c**5 - 95*c**4 + 5*c**3 + 380*c**2 - 180*c = 0. What is c?
-2, 0, 1/2, 2, 9
Solve 9*d**5 - 204*d**4 + 960*d**3 - 1650*d**2 + 1191*d - 306 = 0.
2/3, 1, 3, 17
Factor -3*h**4/5 - 54*h**3/5 - 291*h**2/5 - 432*h/5 - 192/5.
-3*(h + 1)**2*(h + 8)**2/5
Factor 5*t**5 + 5*t**4 - 30*t**3 + 10*t**2 + 25*t - 15.
5*(t - 1)**3*(t + 1)*(t + 3)
Suppose -320*s**5 + 2320*s**4 + 4740*s**3 + 2635*s**2 + 580*s + 45 = 0. Calculate s.
-1, -1/4, 9
Factor 3*i**4/5 - 12*i**2/5.
3*i**2*(i - 2)*(i + 2)/5
Factor 14*m**4 + 146*m**3 + 248*m**2 - 696*m + 288.
2*(m - 1)*(m + 6)**2*(7*m - 4)
Find d such that -2*d**3/5 + 3308*d**2/5 - 1322*d + 3304/5 = 0.
1, 1652
What is d in -27*d**4/2 + 3258*d**3 + 4353*d**2/2 + 363*d = 0?
-1/3, 0, 242
Find f such that -f**3 + 12*f**2 - 29*f + 18 = 0.
1, 2, 9
Factor t**4/8 + 9*t**3/4 + 15*t**2 + 44*t + 48.
(t + 4)**3*(t + 6)/8
Determine r so that -r**2 - 103*r - 202 = 0.
-101, -2
Factor 4*u**2 + 12932*u.
4*u*(u + 3233)
Suppose 9*b**5 + 102*b**4 + 411*b**3 + 702*b**2 + 480*b + 96 = 0. Calculate b.
-4, -2, -1, -1/3
Suppose 3*f**2/5 - 624*f/5 + 32448/5 = 0. What is f?
104
Factor 51*l**3/5 - 36*l**2 + 108*l/5 + 96/5.
3*(l - 2)**2*(17*l + 8)/5
Let 5*s**2 + 1340*s + 89780 = 0. Calculate s.
-134
Factor 3*p**2/5 + 147*p/5 - 1566/5.
3*(p - 9)*(p + 58)/5
Factor 25*l**2 + 1790*l - 720.
5*(l + 72)*(5*l - 2)
Factor 4*k**2 - 16.
4*(k - 2)*(k + 2)
Suppose -4*l**2 + 20*l + 200 = 0. Calculate l.
-5, 10
Factor 4*u**5 + 52*u**4 + 92*u**3 + 44*u**2.
4*u**2*(u + 1)**2*(u + 11)
Factor 5*i**4/2 - 65*i**3 + 600*i**2 - 2295*i + 6075/2.
5*(i - 9)**2*(i - 5)*(i - 3)/2
Determine t so that t**4/2 - 95*t**3 + 374*t**2 - 372*t = 0.
0, 2, 186
Determine b, given that b**4/11 - 57*b**3/11 - 117*b**2/11 - 59*b/11 = 0.
-1, 0, 59
Solve 2*f**3/5 - 34*f**2/5 + 192*f/5 - 72 = 0 for f.
5, 6
Let -564*f**2 + 572*f - 8 = 0. What is f?
2/141, 1
Factor -2*d**4 - 30*d**3 - 58*d**2 + 414*d - 324.
-2*(d - 2)*(d - 1)*(d + 9)**2
Suppose 2*q**5 + 136*q**4/3 + 1150*q**3/3 + 1468*q**2 + 7168*q/3 + 3136/3 = 0. Calculate q.
-7, -4, -2/3
Determine s, given that -s**4/3 - 8*s**3/3 - 22*s**2/3 - 8*s - 3 = 0.
-3, -1
Factor s**5/7 + 16*s**4/7 + 48*s**3/7 - 38*s**2 - 119*s + 294.
(s - 3)*(s - 2)*(s + 7)**3/7
Factor 2*k**2 - 22*k.
2*k*(k - 11)
Factor 3*g**3 - 78*g**2 + 195*g + 276.
3*(g - 23)*(g - 4)*(g + 1)
Suppose -k**5 + 12*k**4 - 41*k**3 + 2*k**2 + 180*k - 200 = 0. Calculate k.
-2, 2, 5
What is p in p**5/8 + p**4/8 - p**3 - p**2 + 2*p + 2 = 0?
-2, -1, 2
Factor -3*q**3 + 27*q**2 - 54*q.
-3*q*(q - 6)*(q - 3)
What is v in -2*v**5/3 + 22*v**4/3 - 28*v**3 + 136*v**2/3 - 80*v/3 = 0?
0, 2, 5
Determine v, given that 4*v**2/5 + 86*v/5 + 24 = 0.
-20, -3/2
Factor 3*m**4 - 51*m**3 + 210*m**2.
3*m**2*(m - 10)*(m - 7)
Determine r so that 2*r**2/5 - 8*r/5 = 0.
0, 4
Factor -x**3/10 + 16*x**2/5 + 71*x/10 - 51/5.
-(x - 34)*(x - 1)*(x + 3)/10
Suppose -v**3/4 + 29*v**2/4 + 10*v - 1100 = 0. Calculate v.
-11, 20
Determine q, given that 18*q**5/11 + 2074*q**4/11 - 148*q**3 - 464*q**2/11 = 0.
-116, -2/9, 0, 1
Factor 144*u**3 + 49632*u**2 + 4301332*u + 4251844.
4*(u + 1)*(6*u + 1031)**2
Find d, given that d**5/4 - 49*d**4/4 + 459*d**3/2 - 4043*d**2/2 + 32617*d/4 - 46137/4 = 0.
3, 7, 13
Let -9*f**5 + 93*f**4 - 237*f**3 - 237*f**2 + 1182*f - 360 = 0. Calculate f.
-2, 1/3, 3, 4, 5
Factor 1746*o**3/5 + 348*o**2 - 6*o/5.
6*o*(o + 1)*(291*o - 1)/5
What is q in -4*q**5 - 4*q**4 + 4*q**3 + 4*q**2 = 0?
-1, 0, 1
Suppose 20*f**5 - 48*f**4 - 44*f**3 + 24*f**2 = 0. What is f?
-1, 0, 2/5, 3
Suppose q**4/4 - 5*q**3/2 + 4*q**2 = 0. Calculate q.
0, 2, 8
Factor -3*o**2/8 + 585*o/4 - 114075/8.
-3*(o - 195)**2/8
Let -2*f**2/11 + 3624*f/11 - 7240/11 = 0. Calculate f.
2, 1810
Suppose 3*g**2 + 6540*g + 3564300 = 0. Calculate g.
-1090
Suppose -4*l**2/5 - 2088*l/5 - 272484/5 = 0. What is l?
-261
Solve -c**5/3 - 41*c**4 - 3842*c**3/3 - 3598*c**2/3 + 1281*c + 3721/3 = 0.
-61, -1, 1
Determine r, given that r**2/2 + 484*r + 117128 = 0.
-484
Factor -3*u**5/4 + 3*u**4/4 + 3*u**3/2 - 3*u**2/2 - 3*u/4 + 3/4.
-3*(u - 1)**3*(u + 1)**2/4
Solve t**2