, 0, 1/6
Factor 3*n**2 + 426*n + 423.
3*(n + 1)*(n + 141)
Determine i, given that 3*i**4/4 - 21*i**3/4 - 27*i**2/2 + 81*i + 162 = 0.
-3, -2, 6
Determine o so that 5*o**2 + 1360*o + 2700 = 0.
-270, -2
Factor -z**3/9 - 11*z**2/9 + 40*z/9 - 28/9.
-(z - 2)*(z - 1)*(z + 14)/9
Let -i**5/9 + 154*i**4/9 - 1691*i**3/9 - 1846*i**2/9 = 0. Calculate i.
-1, 0, 13, 142
Factor 2*s**3/7 - 24*s**2/7 - 26*s/7.
2*s*(s - 13)*(s + 1)/7
Factor 3*f**4 + 15*f**3 + 3*f**2 - 63*f - 54.
3*(f - 2)*(f + 1)*(f + 3)**2
Factor -n**3/5 - 76*n**2/5 + n/5 + 76/5.
-(n - 1)*(n + 1)*(n + 76)/5
Determine v so that 3*v**5/8 - 1941*v**4/8 + 312981*v**3/8 + 316869*v**2/8 - 39123*v - 39366 = 0.
-1, 1, 324
Find b such that 6*b**5/7 - 16*b**4 + 676*b**3/7 - 176*b**2 - 70*b = 0.
-1/3, 0, 5, 7
What is w in -w**4 - 10*w**3 + 571*w**2 + 580*w = 0?
-29, -1, 0, 20
Factor 2*l**4/9 + 4*l**3/3 - 22*l**2 - 72*l + 648.
2*(l - 6)**2*(l + 9)**2/9
Factor 3*u**2/4 - 663*u/4 + 657/2.
3*(u - 219)*(u - 2)/4
Factor 2*u**2/17 - 28*u/17.
2*u*(u - 14)/17
Factor p**4/10 + 3*p**3/10 + 3*p**2/10 + p/10.
p*(p + 1)**3/10
Let -2*g**3/9 + 4*g**2/9 + 8*g/9 - 16/9 = 0. Calculate g.
-2, 2
What is f in 2*f**4/9 + 20*f**3/9 + 26*f**2/9 - 16*f/3 = 0?
-8, -3, 0, 1
Find u such that -4*u**4 - 12*u**3 + 156*u**2 + 460*u - 600 = 0.
-5, 1, 6
Factor -2*p**3/3 - 412*p**2.
-2*p**2*(p + 618)/3
What is p in -3*p**4/4 - 495*p**3/4 - 20169*p**2/4 + 20667*p/4 = 0?
-83, 0, 1
Solve -3*q**3 - 36*q**2 - 51*q + 90 = 0.
-10, -3, 1
Determine h, given that -3*h**2 + 228*h - 444 = 0.
2, 74
Factor q**4 + 16*q**3 - 75*q**2 + 98*q - 40.
(q - 2)*(q - 1)**2*(q + 20)
What is r in -5*r**3 - 990*r**2 - 16605*r - 72900 = 0?
-180, -9
Factor 8*b**3/3 + 196*b**2/3 + 280*b/3 + 92/3.
4*(b + 1)*(b + 23)*(2*b + 1)/3
Factor 2*x**3 - 6172*x**2 + 4755520*x + 9535744.
2*(x - 1544)**2*(x + 2)
Find q, given that -60*q**4 + 172*q**3 - 96*q**2 - 16*q = 0.
-2/15, 0, 1, 2
Factor 5*l**3 + 37*l**2/4 + 7*l/2 - 3/4.
(l + 1)**2*(20*l - 3)/4
Determine x, given that -2*x**3/9 + 64*x**2/9 - 110*x/3 + 52 = 0.
3, 26
Factor 6*y**4/7 - 114*y**3/7 - 246*y**2/7 - 18*y.
6*y*(y - 21)*(y + 1)**2/7
Suppose -4*g**5 - 268*g**4 + 564*g**3 + 812*g**2 - 1120*g - 1104 = 0. Calculate g.
-69, -1, 2
Factor -d**4 - 12*d**3 - 53*d**2 - 102*d - 72.
-(d + 2)*(d + 3)**2*(d + 4)
What is s in 3*s**5/2 - 19*s**4/2 - 149*s**3/2 - 69*s**2/2 + 73*s + 44 = 0?
-4, -1, -2/3, 1, 11
Find s, given that 2*s**2/5 + 16*s/5 = 0.
-8, 0
Factor 3*p**4 - 78*p**3 - 81*p**2.
3*p**2*(p - 27)*(p + 1)
Factor d**4/5 + 4*d**3/5 - 37*d**2/5 + 68*d/5 - 36/5.
(d - 2)**2*(d - 1)*(d + 9)/5
Suppose 6*s**3/11 - 606*s**2/11 + 14994*s/11 + 15606/11 = 0. Calculate s.
-1, 51
Let -3*q**5 + 153*q**4/4 - 633*q**3/4 + 198*q**2 + 60*q = 0. Calculate q.
-1/4, 0, 4, 5
Find w such that -3*w**5/4 + 6*w**3 + 9*w**2/2 - 21*w/4 - 9/2 = 0.
-2, -1, 1, 3
Find f, given that -3*f**3/2 + 123*f**2/2 + 204*f - 264 = 0.
-4, 1, 44
Factor -c**5 - 9*c**4 - 31*c**3 - 51*c**2 - 40*c - 12.
-(c + 1)**2*(c + 2)**2*(c + 3)
What is t in -49*t**4/2 - 161*t**3/6 + 5*t**2 + 6*t - 4/3 = 0?
-1, -2/3, 2/7
Determine s, given that s**5/5 - 27*s**4/5 + 194*s**3/5 - 142*s**2/5 - 39*s + 169/5 = 0.
-1, 1, 13
Solve -2*i**4/15 - 4*i**3/15 + 136*i**2/15 - 4*i - 90 = 0 for i.
-9, -3, 5
Solve -3*x**2 + 282*x - 6627 = 0 for x.
47
Factor 2*h**4/5 + 26*h**3/5 - 18*h**2/5 - 162*h.
2*h*(h - 5)*(h + 9)**2/5
Suppose 216*x**3 + 396*x**2 + 435*x/2 + 75/2 = 0. What is x?
-1, -5/12
Let -5*r**5/4 + 10*r**4 + 45*r**3/2 - 275*r**2 - 125*r/4 + 1875 = 0. Calculate r.
-4, -3, 5
Determine w so that -50*w**5/11 - 190*w**4/11 + 72*w**3/11 + 136*w**2/11 + 32*w/11 = 0.
-4, -2/5, 0, 1
Factor 4*k**2/7 + 8*k - 204/7.
4*(k - 3)*(k + 17)/7
Factor -2*y**4/7 - 20*y**3 - 2306*y**2/7 + 720*y - 2592/7.
-2*(y - 1)**2*(y + 36)**2/7
Suppose -2*q**5 + 8*q**4 + 12*q**3 - 8*q**2 - 10*q = 0. What is q?
-1, 0, 1, 5
Factor 3*f**2 + 6522*f.
3*f*(f + 2174)
Let 4*h**2 + 32*h + 28 = 0. Calculate h.
-7, -1
Factor t**3 + 7*t**2 - 6*t - 72.
(t - 3)*(t + 4)*(t + 6)
Solve -7*p**5 - 236*p**4 - 793*p**3 - 384*p**2 + 180*p = 0 for p.
-30, -3, -1, 0, 2/7
Factor 3*v**2 - 207*v.
3*v*(v - 69)
Solve -i**3 - 102*i**2 - 299*i - 198 = 0 for i.
-99, -2, -1
Let 3*s**2 + 7848*s + 5132592 = 0. Calculate s.
-1308
Determine a, given that 2*a**3/5 + 16*a**2/25 + 6*a/25 = 0.
-1, -3/5, 0
Factor t**3/2 - 30*t**2 + 600*t - 4000.
(t - 20)**3/2
Factor n**4/4 + 15*n**3/4 - 143*n**2/4 + 237*n/4 - 55/2.
(n - 5)*(n - 1)**2*(n + 22)/4
Factor -2*s**5/15 - 6*s**4/5 - 12*s**3/5 + 36*s**2/5 + 162*s/5 + 162/5.
-2*(s - 3)*(s + 3)**4/15
What is z in -5*z**4/4 - 10*z**3 - 15*z**2/2 + 10*z + 35/4 = 0?
-7, -1, 1
Solve -3*y**3 + 30*y**2 - 51*y + 24 = 0.
1, 8
Let 2*k**2 + 164*k - 3600 = 0. Calculate k.
-100, 18
Solve 3*n**3/5 + 4647*n**2/5 - 18624*n/5 + 18636/5 = 0 for n.
-1553, 2
Suppose -2*o**3/11 + 58*o**2/11 - 48*o + 1440/11 = 0. Calculate o.
5, 12
Find f such that 2*f**4/3 + 2*f**3/3 - 76*f**2/3 - 24*f + 48 = 0.
-6, -2, 1, 6
Factor -t**3 + 512*t**2 + 2060*t + 2064.
-(t - 516)*(t + 2)**2
Suppose -22*n**5 + 62*n**4 - 54*n**3 + 10*n**2 + 4*n = 0. Calculate n.
-2/11, 0, 1
Determine h, given that 2*h**3/3 - 14*h - 40/3 = 0.
-4, -1, 5
Determine y so that 6*y**3 + 914*y**2 + 3828*y - 2960 = 0.
-148, -5, 2/3
Solve 4*r**2 - 100*r + 96 = 0 for r.
1, 24
Find b, given that -675*b**5/4 + 13005*b**4/4 - 70257*b**3/4 + 72723*b**2/4 - 3942*b + 243 = 0.
2/15, 1, 9
Solve -2*m**2/19 + 46*m/19 - 44/19 = 0.
1, 22
Suppose -11*l**2/4 - 3761*l/2 + 342 = 0. What is l?
-684, 2/11
Factor g**3/7 + 15*g**2/7 + 18*g/7 - 104/7.
(g - 2)*(g + 4)*(g + 13)/7
Let -3*t**2/7 + 12*t = 0. Calculate t.
0, 28
Factor -b**5 - 12*b**4.
-b**4*(b + 12)
Determine j, given that -20*j**2 - 25*j - 5 = 0.
-1, -1/4
Factor -2*y**2/3 + 146*y/3.
-2*y*(y - 73)/3
Solve -6*a**4 + 21*a**3 - 9*a**2 = 0.
0, 1/2, 3
Factor x**4 + 2*x**3 - 192*x**2 - 1026*x + 1215.
(x - 15)*(x - 1)*(x + 9)**2
Factor 2*z**4 - 7104*z**3 + 9462528*z**2 - 5601816576*z + 1243603279872.
2*(z - 888)**4
Let -5*p**3 - 85*p**2 - 315*p + 405 = 0. What is p?
-9, 1
Factor 2*n**3/19 + 112*n**2/19 - 726*n/19 + 1116/19.
2*(n - 3)**2*(n + 62)/19
Find k, given that 2*k**4/13 - 36*k**3/13 + 54*k**2/13 + 172*k/13 - 192/13 = 0.
-2, 1, 3, 16
Suppose -5*g**2 - 400*g + 820 = 0. Calculate g.
-82, 2
What is u in -3*u**4 - 441*u**3 - 1284*u**2 + 1728*u = 0?
-144, -4, 0, 1
Factor 3*f**4 - 3909*f**3 + 1271400*f**2 + 1275312*f.
3*f*(f - 652)**2*(f + 1)
Find b such that 4*b**2 + 1000*b = 0.
-250, 0
What is i in -42*i**5/17 + 1430*i**4/17 - 6406*i**3/17 + 7474*i**2/17 + 256*i/17 - 696/17 = 0?
-2/7, 1/3, 2, 3, 29
Factor 4*i**5 + 544*i**4 + 8064*i**3 + 47104*i**2 + 123904*i + 122880.
4*(i + 4)**4*(i + 120)
Determine y, given that -4*y**4 + 48*y**3 - 124*y**2 - 48*y + 128 = 0.
-1, 1, 4, 8
Let -5*l**5 + 10*l**4 + 15*l**3 = 0. Calculate l.
-1, 0, 3
What is m in 55*m**2 - 1530*m - 280 = 0?
-2/11, 28
What is o in 3*o**3/8 + 21*o**2 + 615*o/2 + 1350 = 0?
-36, -10
Factor -2*h**3/11 + 62*h**2/11 + 42*h/11 - 882.
-2*(h - 21)**2*(h + 11)/11
Determine g, given that 4*g**4/3 + 34*g**3/3 - 46*g**2 - 292*g/3 + 176/3 = 0.
-11, -2, 1/2, 4
Let 5*f**4 + 270*f**3 - 280*f**2 - 270*f + 275 = 0. Calculate f.
-55, -1, 1
Solve 3*p**4 + 108*p**3 + 729*p**2 - 4308*p + 4788 = 0.
-21, -19, 2
Find a such that 2*a**4 + 104*a**3 - 218*a**2 - 104*a + 216 = 0.
-54, -1, 1, 2
Determine h so that -2*h**3 + 24*h**2 - 78*h + 56 = 0.
1, 4, 7
Let l**4/4 + 3*l**3 + 9*l**2/4 - 11*l/2 = 0. What is l?
-11, -2, 0, 1
What is y in -4*y**3/5 + 56*y**2/5 - 52*y/5 = 0?
0, 1, 13
Factor 3*k**2 + 174*k.
3*k*(k + 58)
Suppose -11*l**5/9 + 20*l**4/9 + 136*l**3/9 - 416*l**2/9 + 272*l/9 + 64/9 = 0. Calculate l.
-4, -2/11, 2
Factor 196*n**3 - 5572*n**2 - 3232*n - 464.
4*(n - 29)*(7*n + 2)**2
What is a in 5*a**4 - 5*a**3 - 80*a**2 - 100*a = 0?
-2, 0, 5
Suppose -3*g**3 - 3018*g**2 = 0. What is g?
-1006, 0
Factor 3*z**5 - 3*z**4 - 528*z**3 - 4128*z**2 - 12288*z - 13056.
3*(z - 17)*(z + 4)**4
Solve j**3/9 - 185*j**2/3 + 34225*j/3 - 6331625/9 = 0.
185
Determine y, given that y**2/12 + 128*y = 0.
-1536, 0
Suppose -4*u**4/7 - 87*u**3/7 + 22*u**2/7 = 0. What is u?
-22, 0, 1/4
Let 36*g**4 - 34*g**3 - 182*g**2 - 118*g - 6 = 0. Calculate g.
-1, -1/18, 3
Factor w**4/5 - 14*w**3/5 + 12*w**2 - 10*w - 25.
(w - 5)**3*(w + 1)/5
Let 245*h**5 + 10185*h**4