*a/7 + 3816/7 = 0.
-36, 53
Let -3*y**2 - 168*y - 2352 = 0. Calculate y.
-28
Factor -5*s**2 - 170*s - 465.
-5*(s + 3)*(s + 31)
Find z, given that -2*z**3/9 - 58*z**2/3 - 1682*z/3 - 48778/9 = 0.
-29
Determine m, given that 2*m**4/7 + 36*m**3/7 - 582*m**2/7 - 2696*m/7 - 2808/7 = 0.
-27, -2, 13
Factor -h**5 - 3*h**4 + 2*h**3 + 6*h**2 - h - 3.
-(h - 1)**2*(h + 1)**2*(h + 3)
Factor 79*c**5/11 - 160*c**4/11 + 4*c**3/11.
c**3*(c - 2)*(79*c - 2)/11
Let 3*k**4 - 309*k**3 + 9165*k**2 - 59643*k = 0. Calculate k.
0, 9, 47
Solve -2*t**5/9 - 4*t**4 - 18*t**3 - 24*t**2 = 0 for t.
-12, -3, 0
Factor 2*g**3 - 20*g**2 + 66*g - 72.
2*(g - 4)*(g - 3)**2
Factor 81*v**3/5 + 1143*v**2 - 2552*v/5 + 284/5.
(v + 71)*(9*v - 2)**2/5
Solve z**4/3 + 21*z**3 - 133*z**2/3 - 65*z = 0 for z.
-65, -1, 0, 3
Find w, given that 2*w**2/5 + 26*w/5 - 28/5 = 0.
-14, 1
Suppose 2*p**5/7 - 36*p**3/7 + 64*p**2/7 - 30*p/7 = 0. Calculate p.
-5, 0, 1, 3
Find i such that -35*i**3 + 3580*i**2 - 4555*i + 1010 = 0.
2/7, 1, 101
Let 5*i**3 + 25*i**2 - 5*i - 25 = 0. Calculate i.
-5, -1, 1
Suppose -3*b**5/5 + 18*b**4/5 - 21*b**3/5 - 18*b**2/5 + 24*b/5 = 0. What is b?
-1, 0, 1, 2, 4
Determine g, given that -2*g**4/11 - 10*g**3/11 - 4*g**2/11 + 16*g/11 = 0.
-4, -2, 0, 1
Solve -2*h**3 + 96*h**2/11 + 78*h/11 - 40/11 = 0 for h.
-1, 4/11, 5
Factor -4*v**2 - 12*v + 16.
-4*(v - 1)*(v + 4)
Factor 21*l**3 + 132*l**2 + 141*l + 30.
3*(l + 1)*(l + 5)*(7*l + 2)
Factor 2*d**4/11 + 2*d**3/11 - 2*d**2/11 - 2*d/11.
2*d*(d - 1)*(d + 1)**2/11
Factor 4*z**4 + 4944*z**3 + 2291544*z**2 + 472058064*z + 36466485444.
4*(z + 309)**4
Determine f so that -5*f**2 - 155*f + 900 = 0.
-36, 5
Find x, given that 2*x**5/15 - 2*x**4/3 + 2*x**3/5 + 2*x**2/3 - 8*x/15 = 0.
-1, 0, 1, 4
Factor 5*l**2/3 + 10*l/3 - 40/3.
5*(l - 2)*(l + 4)/3
Determine g so that 3*g**2 - 129*g + 246 = 0.
2, 41
Let 33*l**3 + 3*l**2 = 0. Calculate l.
-1/11, 0
Factor i**2/4 + i/4 - 1/2.
(i - 1)*(i + 2)/4
Suppose -4*f**5 + 48*f**4 + 1356*f**3 + 2552*f**2 + 1248*f = 0. Calculate f.
-12, -1, 0, 26
Solve -u**3/2 + 1797*u**2 - 1616400*u + 3225616 = 0.
2, 1796
Determine g so that -54*g**5 + 51*g**4 + 3*g**3 = 0.
-1/18, 0, 1
Factor -p**2 - 75*p - 74.
-(p + 1)*(p + 74)
What is c in 4*c**3/9 - 44*c**2/9 + 92*c/9 + 140/9 = 0?
-1, 5, 7
What is c in -2*c**2/7 - 88*c - 614/7 = 0?
-307, -1
Determine g, given that -3*g**2 - 1926*g - 309123 = 0.
-321
Determine m so that 2*m**5/3 - 146*m**4 - 2*m**3 + 1310*m**2/3 + 292*m = 0.
-1, 0, 2, 219
Factor 3*m**2 + 927*m + 3660.
3*(m + 4)*(m + 305)
Let -i**5/3 - 2*i**4/3 + 4*i**3 + 8*i**2/3 - 32*i/3 = 0. Calculate i.
-4, -2, 0, 2
Determine w, given that 64*w**4 - 352*w**3 + 164*w**2 - 20*w = 0.
0, 1/4, 5
Suppose -18*h**4 + 1908*h**3 - 1894*h**2 + 420*h = 0. What is h?
0, 1/3, 2/3, 105
Find v, given that 186*v**3 + 374*v**2 + 4*v = 0.
-2, -1/93, 0
Let g**2/9 + 176*g/9 - 179/3 = 0. What is g?
-179, 3
Solve 3*q**5/7 - 39*q**4/7 + 27*q**3/7 + 111*q**2/7 - 30*q/7 - 72/7 = 0.
-1, 1, 2, 12
Factor k**5/2 - 3*k**4 - 3*k**3/2 + 10*k**2 - 6*k.
k*(k - 6)*(k - 1)**2*(k + 2)/2
Factor -d**3/4 + 3*d/4 + 1/2.
-(d - 2)*(d + 1)**2/4
Factor -3*l**3 + 69*l**2 + 894*l - 960.
-3*(l - 32)*(l - 1)*(l + 10)
Determine b, given that b**4/3 - 58*b**3/3 + 199*b**2 - 708*b + 828 = 0.
3, 6, 46
Determine x so that 6*x**3/5 - 3702*x**2/5 + 7386*x/5 - 738 = 0.
1, 615
Find l such that 3844*l**2 - 744*l + 36 = 0.
3/31
Solve 4*h**2 - 6668*h + 6664 = 0 for h.
1, 1666
Solve -144*c**4 + 1200*c**3 - 2548*c**2 + 752*c - 60 = 0.
1/6, 3, 5
Find m such that -m**3 + 107*m**2 - 995*m + 2425 = 0.
5, 97
Determine g, given that 2*g**5/11 + 10*g**4/11 + 10*g**3/11 - 10*g**2/11 - 12*g/11 = 0.
-3, -2, -1, 0, 1
Determine x so that -5*x**5 - 55*x**4 - 210*x**3 - 320*x**2 - 160*x = 0.
-4, -2, -1, 0
Factor -4*k**2 - 524*k - 520.
-4*(k + 1)*(k + 130)
Factor 4*v**3/3 + 1832*v**2/3 - 4*v/3 - 1832/3.
4*(v - 1)*(v + 1)*(v + 458)/3
Suppose 48*n**3 - 855*n**2/2 + 1263*n/2 + 63 = 0. Calculate n.
-3/32, 2, 7
Determine a so that 6*a**5 - 8*a**4 - 50*a**3 + 20*a**2 + 104*a + 48 = 0.
-2, -1, -2/3, 2, 3
Factor r**4 + 4*r**3 - r**2 - 4*r.
r*(r - 1)*(r + 1)*(r + 4)
Factor -5*s**2 - 230*s + 480.
-5*(s - 2)*(s + 48)
Factor g**2 + 322*g + 25921.
(g + 161)**2
Suppose 36*i**4/5 - 88*i**3 + 84*i**2 + 144*i - 176/5 = 0. What is i?
-1, 2/9, 2, 11
Factor 3*v**5/2 - 2964*v**4 + 1951299*v**3 - 427332504*v**2 - 858573537*v/2.
3*v*(v - 659)**3*(v + 1)/2
Determine d, given that -3*d**3/5 + 753*d**2/5 - 45312*d/5 - 49152 = 0.
-5, 128
Factor -z**4/2 - 11*z**3/2 - 9*z**2/2 + 11*z/2 + 5.
-(z - 1)*(z + 1)**2*(z + 10)/2
Find j such that 481*j**2 - 483*j + 2 = 0.
2/481, 1
Suppose -20*v**2/3 - 104*v - 928/3 = 0. Calculate v.
-58/5, -4
Suppose 155*b**2 - 1105*b + 140 = 0. Calculate b.
4/31, 7
Suppose -5*k**4 - 60*k**3 - 180*k**2 - 160*k = 0. What is k?
-8, -2, 0
Factor 5*a**2 + 41140*a + 84624980.
5*(a + 4114)**2
Factor -1728*q**3 - 432*q**2 - 36*q - 1.
-(12*q + 1)**3
Let 4*y**3/7 - 146*y**2/7 - 730*y/7 - 328/7 = 0. What is y?
-4, -1/2, 41
Let 2*k**2 - 134*k - 3696 = 0. Calculate k.
-21, 88
Let 2*k**4/3 + 256*k**3 + 74492*k**2/3 + 48896*k + 72962/3 = 0. Calculate k.
-191, -1
Factor g**5/4 - 37*g**4/4 - 30*g**3.
g**3*(g - 40)*(g + 3)/4
Factor -n**4/3 - 88*n**3/3 + 90*n**2 - 272*n/3 + 91/3.
-(n - 1)**3*(n + 91)/3
Determine u, given that -u**2 + 59*u + 60 = 0.
-1, 60
Factor -i**5 - 335*i**4 - 27888*i**3 + 28224*i**2.
-i**2*(i - 1)*(i + 168)**2
What is a in 2*a**2 + 28*a - 64 = 0?
-16, 2
Let -3*d**3/5 + 63*d**2/5 + 27*d + 69/5 = 0. What is d?
-1, 23
Solve -278*i**4/7 + 552*i**3/7 + 1954*i**2/7 + 1140*i/7 + 16/7 = 0 for i.
-1, -2/139, 4
Factor -2*g**5/5 - 104*g**4 - 412*g**3 - 616*g**2 - 410*g - 512/5.
-2*(g + 1)**4*(g + 256)/5
Find z such that -5*z**5 + 25*z**4 - 45*z**3 + 35*z**2 - 10*z = 0.
0, 1, 2
Determine f so that f**2 + 70*f + 1225 = 0.
-35
Let 2*s**2/7 - 338*s - 2368/7 = 0. What is s?
-1, 1184
Determine t so that 20*t**3 + 204*t**2 - 180*t - 44 = 0.
-11, -1/5, 1
Let 3*i**4 - 273*i**3 + 252*i**2 + 1620*i = 0. What is i?
-2, 0, 3, 90
Factor 4*w**2 + 108*w + 368.
4*(w + 4)*(w + 23)
Factor 5*c**2 - 95*c.
5*c*(c - 19)
Factor -4*o**2 - 4728*o - 4724.
-4*(o + 1)*(o + 1181)
Factor -i**3 + 34*i**2 + 35*i.
-i*(i - 35)*(i + 1)
Factor -t**5/6 + 7*t**4/3 + 31*t**3/6 + 8*t**2/3.
-t**2*(t - 16)*(t + 1)**2/6
Find p, given that -24*p**4 - 27*p**3 + 21*p**2 + 27*p + 3 = 0.
-1, -1/8, 1
Solve 5*l**2 + 1900*l + 7520 = 0 for l.
-376, -4
Factor 5*j**4 - 45*j**3 - 55*j**2 + 45*j + 50.
5*(j - 10)*(j - 1)*(j + 1)**2
Solve -a**2 + 78*a - 77 = 0 for a.
1, 77
Suppose 3*z**2/4 + 615*z + 126075 = 0. What is z?
-410
Factor -g**4/5 + 5*g**3 + 27*g**2/5 - 5*g - 26/5.
-(g - 26)*(g - 1)*(g + 1)**2/5
Factor -v**2 + 402*v - 40401.
-(v - 201)**2
Find s, given that -13*s**4/2 - 11*s**3 - 5*s**2/2 + 2*s = 0.
-1, 0, 4/13
Solve 108*u**5 - 156*u**4 - 544*u**3 + 608*u**2 + 448*u + 64 = 0 for u.
-2, -1/3, -2/9, 2
Factor -q**2/2 + 1885*q/2 - 942.
-(q - 1884)*(q - 1)/2
Determine l so that -l**2/6 - 4*l/3 + 35/2 = 0.
-15, 7
What is y in -2*y**5/11 + 194*y**4/11 - 4798*y**3/11 + 4414*y**2/11 + 4800*y/11 - 4608/11 = 0?
-1, 1, 48
Factor -4*g**3/5 + 76*g**2/5 - 28*g + 68/5.
-4*(g - 17)*(g - 1)**2/5
What is j in 4*j**5 - 8*j**4 - 40*j**3 + 32*j**2 + 132*j + 72 = 0?
-2, -1, 3
Factor 2*j**4/17 - 1844*j**3/17 + 437754*j**2/17 - 5860232*j/17 + 20199368/17.
2*(j - 454)**2*(j - 7)**2/17
Factor -3*b**2 + 69*b.
-3*b*(b - 23)
Factor -3*o**3 - 270*o**2 - 1539*o - 2268.
-3*(o + 3)**2*(o + 84)
Factor 5*r**4 - 15*r**2 + 10*r.
5*r*(r - 1)**2*(r + 2)
Solve -z**2/4 + 737*z/4 - 1101/2 = 0 for z.
3, 734
Factor -16*c**2 - 1220*c - 304.
-4*(c + 76)*(4*c + 1)
Let -18*w**2 - w/2 + 1 = 0. Calculate w.
-1/4, 2/9
Factor -2*i**2 - 45*i + 23.
-(i + 23)*(2*i - 1)
Solve 2*m**2/9 - 76*m/9 + 70/3 = 0.
3, 35
Determine o, given that -o**2/9 + 2*o/9 - 1/9 = 0.
1
Factor -3*c**4 + 18*c**3 - 3*c**2 - 72*c - 48.
-3*(c - 4)**2*(c + 1)**2
Factor -j**4/3 - 8*j**3/3 - 2*j**2 + 8*j/3 + 7/3.
-(j - 1)*(j + 1)**2*(j + 7)/3
Factor 4*p**2/5 - 868*p/5.
4*p*(p - 217)/5
Find j such that 2*j**4/3 - 1122*j**3/5 + 5362*j**2/15 - 222*j/5 - 268/3 = 0.
-2/5, 1, 335
Let -i**4 + i**3 + 4*i**2 - 4*i = 0. Calculate i.
-2, 0, 1, 2
Factor -2*j**3/9 - 46*j**2/9 + 110*j/3 - 58.
-2*(j - 3)**2*(j + 29)/9
Factor 15*b**3/2 - 42*b**2 - 18*b.
3*b*(b 