)*(g + 199)/3
Suppose -k**3/2 - 15*k**2/2 - 28*k - 30 = 0. Calculate k.
-10, -3, -2
Find h, given that 3*h**2/2 - 39*h/2 + 45 = 0.
3, 10
Let -2*j**4/15 - 4*j**3/3 - 16*j**2/15 + 64*j/3 + 256/5 = 0. What is j?
-6, -4, 4
Find t, given that -14*t**2 + 60*t - 16 = 0.
2/7, 4
Factor 3*t**5 + 111*t**4 + 210*t**3.
3*t**3*(t + 2)*(t + 35)
Solve 166*i**4 + 4*i**3 = 0 for i.
-2/83, 0
Solve 8*j**4/7 + 18*j**3/7 - 4*j**2/7 - 18*j/7 - 4/7 = 0.
-2, -1, -1/4, 1
Determine c so that c**3/2 - c**2/2 - 13*c - 12 = 0.
-4, -1, 6
Suppose -9*k**4/5 + 1833*k**3/5 + 10023*k**2/5 + 1911*k/5 - 1254 = 0. What is k?
-5, -1, 2/3, 209
Factor 4*s**2 - 100*s + 184.
4*(s - 23)*(s - 2)
Determine o so that o**4/11 - 107*o**3/11 + 3885*o**2/11 - 50225*o/11 + 85750/11 = 0.
2, 35
Factor -2*m**4/5 + 774*m**3/5 - 95676*m**2/5 + 3196168*m/5 + 14436624.
-2*(m - 134)**3*(m + 15)/5
Factor a**3/2 + 27*a**2/2 - 14*a.
a*(a - 1)*(a + 28)/2
What is s in -s**5/3 + 5*s**4 + 56*s**3/3 - 8*s**2 - 208*s/3 - 48 = 0?
-2, -1, 2, 18
Factor 4*s**3 + 20*s**2 - 232*s + 352.
4*(s - 4)*(s - 2)*(s + 11)
Suppose -3*u**4 - 108*u**3 - 207*u**2 - 102*u = 0. What is u?
-34, -1, 0
Factor -2*v**3/5 + 28*v**2/5 - 10*v + 24/5.
-2*(v - 12)*(v - 1)**2/5
Suppose -3*l**3 + 15*l**2 - 24*l + 12 = 0. What is l?
1, 2
Let b**2/5 + 26*b + 845 = 0. Calculate b.
-65
Solve -5*w**4 + 2055*w**3 - 12195*w**2 + 18225*w = 0 for w.
0, 3, 405
Factor s**5/3 - 622*s**4 + 1160651*s**3/3 - 240639982*s**2/3 - 386884*s + 240641848/3.
(s - 622)**3*(s - 1)*(s + 1)/3
Factor 15*u**2 - 905*u - 610.
5*(u - 61)*(3*u + 2)
Factor 2*h**3/5 + 32*h**2/5 + 26*h/5 - 12.
2*(h - 1)*(h + 2)*(h + 15)/5
Factor -6*q**3/11 - 18*q**2/11.
-6*q**2*(q + 3)/11
Factor q**3 + 43*q**2 + 83*q + 41.
(q + 1)**2*(q + 41)
Factor x**2/7 - 55*x/7 + 106/7.
(x - 53)*(x - 2)/7
Let -6*j**5 + 2*j**4 + 78*j**3 - 98*j**2 + 24*j = 0. Calculate j.
-4, 0, 1/3, 1, 3
Factor m**3 + 7365*m**2 + 13557123*m - 13564489.
(m - 1)*(m + 3683)**2
Factor -923521*r**5/5 + 12780339*r**4/5 - 70714224*r**3/5 + 195549984*r**2/5 - 270273024*r/5 + 149361408/5.
-(r - 3)*(31*r - 84)**4/5
Suppose -t**2 + 958*t = 0. Calculate t.
0, 958
Factor -16*n**3/11 + 38*n**2/11 + 54*n/11.
-2*n*(n + 1)*(8*n - 27)/11
Solve -2*q**4/15 + 56*q**3/15 - 22*q**2 + 20*q/3 + 400/3 = 0.
-2, 5, 20
Factor 758*l**2 + 760*l + 2.
2*(l + 1)*(379*l + 1)
Factor -2*j**2 + 432*j - 430.
-2*(j - 215)*(j - 1)
Solve 2*w**3/11 + 6*w**2/11 - 194*w/11 - 18 = 0.
-11, -1, 9
Let 5*b**3 + 890*b**2 + 885*b = 0. What is b?
-177, -1, 0
Factor p**3/3 + 1301*p**2/3 + 140833*p - 141267.
(p - 1)*(p + 651)**2/3
Factor 32*y**3 - 116*y**2 - 208*y - 60.
4*(y - 5)*(y + 1)*(8*y + 3)
Suppose -n**3 - 25*n**2 - 143*n + 169 = 0. What is n?
-13, 1
Determine m, given that 2*m**3 - 584*m**2 + 2310*m - 1728 = 0.
1, 3, 288
Suppose -i**5/8 - 7*i**4/4 - 21*i**3/4 + 11*i**2/2 + 163*i/8 + 45/4 = 0. Calculate i.
-9, -5, -1, 2
Solve 204*m**3 + 512*m**2 - 1219*m - 12 = 0 for m.
-4, -1/102, 3/2
Find k such that 6*k**5/5 + 4*k**4/15 - 54*k**3/5 - 12*k**2/5 = 0.
-3, -2/9, 0, 3
What is i in 2*i**3/3 + 16*i**2/3 - 88*i/3 + 32 = 0?
-12, 2
Solve 3*k**5/4 - 33*k**4/2 + 369*k**3/4 - 435*k**2/2 + 231*k - 90 = 0 for k.
1, 2, 15
Suppose -3*s**2 - 5106*s - 2172603 = 0. What is s?
-851
Suppose -c**4 - 24*c**3 - 41*c**2 + 66*c = 0. Calculate c.
-22, -3, 0, 1
Factor -x**3/4 - 33*x**2/4 + 337*x/4 + 369/4.
-(x - 9)*(x + 1)*(x + 41)/4
Let a**4 - 136*a**3 + 6072*a**2 - 84640*a - 194672 = 0. Calculate a.
-2, 46
Find z, given that z**4/6 - 209*z**3/6 + 3461*z**2/2 + 56389*z/6 + 22898/3 = 0.
-4, -1, 107
Factor -2*a**2 + 1644*a - 337842.
-2*(a - 411)**2
Find m such that -4*m**3 - 936*m**2 + 1884*m - 944 = 0.
-236, 1
Let k**5 - 3*k**4/4 - k**3/4 = 0. What is k?
-1/4, 0, 1
Solve -2*o**3 - 40*o**2 - 134*o - 96 = 0.
-16, -3, -1
Factor -c**2/2 - 6*c.
-c*(c + 12)/2
Factor 2*q**3/7 - 6*q - 40/7.
2*(q - 5)*(q + 1)*(q + 4)/7
Let 3*d**2/4 - 51*d/4 + 63/2 = 0. Calculate d.
3, 14
Factor -2*j**5/7 - 32*j**4/7 - 22*j**3 - 28*j**2.
-2*j**2*(j + 2)*(j + 7)**2/7
Determine o so that 5*o**5/7 - 247*o**4/7 - 1832*o**3/7 - 908*o**2/7 + 96*o = 0.
-6, -1, 0, 2/5, 56
Factor 2*x**3/11 + 8*x**2/11 - 24*x/11.
2*x*(x - 2)*(x + 6)/11
Let -s**5/7 - 10*s**4/7 - 29*s**3/7 - 8*s**2/7 + 48*s/7 = 0. Calculate s.
-4, -3, 0, 1
What is g in g**3/6 - 2*g**2/3 - 7*g/2 = 0?
-3, 0, 7
Factor -3*t**3/5 + 21*t**2/5 - 6*t.
-3*t*(t - 5)*(t - 2)/5
Determine o, given that -3*o**5/2 - o**4/2 + 3*o**3/2 + o**2/2 = 0.
-1, -1/3, 0, 1
Factor -5*i**2 + 2430*i + 2435.
-5*(i - 487)*(i + 1)
Factor z**3 - 135*z**2 + 398*z - 264.
(z - 132)*(z - 2)*(z - 1)
Factor -v**5/3 + 4*v**4/3 - 4*v**3/3.
-v**3*(v - 2)**2/3
Factor -2*n**2/5 - 31*n/5 - 3.
-(n + 15)*(2*n + 1)/5
Factor -9*z**4/4 - 15*z**3/4 - 3*z**2/4 + 3*z/4.
-3*z*(z + 1)**2*(3*z - 1)/4
Let 6*u**2/7 + 36*u/7 - 78 = 0. Calculate u.
-13, 7
Solve -z**2/5 + 36*z - 1620 = 0.
90
Suppose k**5/6 + 5*k**4/3 - 3*k**3/2 - 15*k**2 = 0. Calculate k.
-10, -3, 0, 3
Suppose -2*f**2/9 + 6682*f/9 - 6680/9 = 0. Calculate f.
1, 3340
Let 4*u**4/5 + 36*u**3/5 + 72*u**2/5 - 16*u/5 - 96/5 = 0. Calculate u.
-6, -2, 1
What is v in -v**4/2 + 4*v**3 + 609*v**2/2 = 0?
-21, 0, 29
Factor 4*b**3 - 4*b**2 - 8*b.
4*b*(b - 2)*(b + 1)
Let 2*j**4/11 + 60*j**3/11 + 448*j**2/11 - 60*j/11 - 450/11 = 0. What is j?
-15, -1, 1
Suppose -5*b**5 + 30*b**4 + 20*b**3 - 120*b**2 = 0. Calculate b.
-2, 0, 2, 6
Factor -5*u**4 - 25*u**3 - 20*u**2.
-5*u**2*(u + 1)*(u + 4)
Determine z so that -10*z**5/9 + 4*z**4/3 + 8*z**3/9 - 4*z**2/3 + 2*z/9 = 0.
-1, 0, 1/5, 1
Determine o so that o**5/4 + o**4 + o**3/4 - 3*o**2/2 = 0.
-3, -2, 0, 1
Factor -u**2 - 4682*u - 5480281.
-(u + 2341)**2
Factor -5*g**2 - 59450*g - 176715125.
-5*(g + 5945)**2
Factor 3*w**4 - 45*w**3 + 42*w**2.
3*w**2*(w - 14)*(w - 1)
Let 4*g**3 + 48*g**2 - 60*g - 104 = 0. What is g?
-13, -1, 2
Factor m**2/4 - 41*m/2 + 1681/4.
(m - 41)**2/4
Let u**3/5 + 37*u**2/5 + 451*u/5 + 363 = 0. Calculate u.
-15, -11
Factor -i**3/3 + 289*i**2/3 + 581*i/3 + 97.
-(i - 291)*(i + 1)**2/3
Solve -78*n**4 - 159*n**3 + 72*n**2 + 159*n + 6 = 0.
-2, -1, -1/26, 1
Factor p**3/4 + 25*p**2/2 - p/4 - 25/2.
(p - 1)*(p + 1)*(p + 50)/4
Find p such that p**2/5 - 53*p + 264/5 = 0.
1, 264
Let -5*d**3 + 2075*d**2 - 216315*d + 214245 = 0. What is d?
1, 207
Suppose 243*f**4/8 + 11799*f**3/8 - 660*f**2 + 147*f/2 = 0. Calculate f.
-49, 0, 2/9
What is c in -2*c**2 + 1794*c + 1796 = 0?
-1, 898
Find a, given that -a**5/4 + 19*a**4 - 1441*a**3/4 - 115*a**2/2 + 1121*a - 722 = 0.
-2, 1, 38
Factor -d**4/5 + 1162*d**3/5.
-d**3*(d - 1162)/5
Factor -4*x**4 - 4*x**3 + 48*x**2.
-4*x**2*(x - 3)*(x + 4)
Suppose 4*t**3 - 1016*t**2 - 4*t + 1016 = 0. Calculate t.
-1, 1, 254
Factor 36*j**4 + 1932*j**3 + 4981*j**2 + 4360*j + 1275.
(j + 1)*(j + 51)*(6*j + 5)**2
Factor 3*f**4 + 357*f**3 + 705*f**2 + 351*f.
3*f*(f + 1)**2*(f + 117)
Let -4*h**2/3 - 344*h/3 - 7396/3 = 0. Calculate h.
-43
Let -3*c**2 + 5406*c - 2435403 = 0. What is c?
901
Factor 2*z**3/3 + 3092*z**2/3 + 6181*z/6 + 515/2.
(z + 1545)*(2*z + 1)**2/6
Solve 2*q**4 + 14*q**3 + 10*q**2 - 14*q - 12 = 0.
-6, -1, 1
Factor -4*i**4 + 192*i**3 + 4*i**2 - 192*i.
-4*i*(i - 48)*(i - 1)*(i + 1)
Factor -p**2/5 - 282*p/5 - 19881/5.
-(p + 141)**2/5
Solve -30*f**3 - 46*f**2/3 + 50*f/3 + 2 = 0.
-1, -1/9, 3/5
Factor 2*t**2 - 404*t + 2352.
2*(t - 196)*(t - 6)
Suppose n**2 + 3432*n = 0. What is n?
-3432, 0
Factor -2*c**4/7 + 20*c**3/7 - 72*c**2/7 + 108*c/7 - 54/7.
-2*(c - 3)**3*(c - 1)/7
Factor 2*s**4/13 - 5622*s**3/13 + 16854*s**2/13 - 16850*s/13 + 432.
2*(s - 2808)*(s - 1)**3/13
Solve 3*o**2/4 + 345*o/4 + 825/2 = 0.
-110, -5
Suppose 5*g**2/4 - 425*g/2 + 845/4 = 0. What is g?
1, 169
Find v, given that -v**3/5 + 72*v**2/5 + 73*v/5 = 0.
-1, 0, 73
Find m such that -5*m**5 - 75*m**4 + 10*m**3 + 150*m**2 - 5*m - 75 = 0.
-15, -1, 1
Suppose -3*c**2/5 + 36*c/5 + 39/5 = 0. What is c?
-1, 13
Solve 3*u**3/5 + 27*u**2 + 654*u/5 - 1872/5 = 0 for u.
-39, -8, 2
Factor 2*q**2/15 + 3884*q/15 + 1885682/15.
2*(q + 971)**2/15
Factor 5*y**2 - 9005*y.
5*y*(y - 1801)
Suppose -2*c**3 - 20*c**2 - 14*c + 36 = 0. Calculate c.
-9, -2, 1
Factor 4*w**4/5 - 36*w**3/5 - 36*w**2/5 + 324*w/5.
4*w*(w - 9)*(w - 3)*(w + 3)/5
Suppose 3*t**2 + 108*t - 2100 = 0. What is t?
-50, 14
Determine c, given that -3*c**3 + 132*c**2 - 1452*c = 0.
0, 22
Factor 5*x**3 - 235