en that 2*w**4/15 - 22*w**3/15 + 22*w**2/5 - 2*w/3 - 20/3 = 0.
-1, 2, 5
Let 8*b**5/9 - 4*b**4/3 - 136*b**3/9 - 16*b**2/3 + 128*b/9 + 20/3 = 0. Calculate b.
-3, -1, -1/2, 1, 5
Find g, given that g**2/8 - 319*g/4 = 0.
0, 638
Factor -3*w**2 - 461*w/4 - 95/2.
-(w + 38)*(12*w + 5)/4
Factor -2*n**4 - 12*n**3 - 18*n**2.
-2*n**2*(n + 3)**2
Factor 2*w**3/5 - 4*w**2/5.
2*w**2*(w - 2)/5
Factor -15*q**2/4 - 7*q/4 + 11/2.
-(q - 1)*(15*q + 22)/4
Let -9*t**3/4 - 1227*t**2/2 + 819*t/4 = 0. What is t?
-273, 0, 1/3
Find y, given that -2*y**2/13 + 1236*y/13 - 190962/13 = 0.
309
Let t**4 + 11*t**3 + 20*t**2 - 32*t = 0. What is t?
-8, -4, 0, 1
Factor 2*j**3/11 - 34*j**2/11 + 84*j/11.
2*j*(j - 14)*(j - 3)/11
Let f**4/3 - 10*f**3/3 + 7*f**2 + 4*f/3 - 28/3 = 0. What is f?
-1, 2, 7
Let -32*o**5 - 56*o**4/3 - 19*o**3/6 - o**2/6 = 0. What is o?
-1/3, -1/8, 0
Factor -2*y**5/11 + 6*y**4 - 432*y**3/11 + 800*y**2/11.
-2*y**2*(y - 25)*(y - 4)**2/11
Determine s so that 4*s**3 + 56*s**2 + 140*s + 88 = 0.
-11, -2, -1
Factor 3*m**4 - 6*m**3 - 1461*m**2 - 2892*m - 1440.
3*(m - 24)*(m + 1)**2*(m + 20)
Factor -5*w**2/4 + 60*w - 720.
-5*(w - 24)**2/4
Factor 4*k**2 + 604*k.
4*k*(k + 151)
Factor -3*k**3 - 642*k**2 - 36771*k - 254616.
-3*(k + 8)*(k + 103)**2
Determine u, given that 2*u**5/5 + 2*u**4 - 106*u**3/5 + 262*u**2/5 - 256*u/5 + 88/5 = 0.
-11, 1, 2
Let -2*a**5/7 + 38*a**4/7 - 32*a**3/7 - 72*a**2/7 = 0. Calculate a.
-1, 0, 2, 18
Factor 5*w**3 + 585*w**2 + 21855*w + 264275.
5*(w + 31)**2*(w + 55)
Factor -25*k**2 + 105*k + 130.
-5*(k + 1)*(5*k - 26)
Factor i**3 - 2*i**2 - 3*i.
i*(i - 3)*(i + 1)
Let 4*t**5/3 - 68*t**4 + 916*t**3/3 + 68*t**2 - 920*t/3 = 0. Calculate t.
-1, 0, 1, 5, 46
Factor -4*p**2/9 - 1012*p/3 + 6088/9.
-4*(p - 2)*(p + 761)/9
Solve k**2/3 - 5*k/3 = 0.
0, 5
Factor 3*z**4/5 - 6*z**3/5 - 21*z**2/5 + 12*z - 36/5.
3*(z - 2)**2*(z - 1)*(z + 3)/5
Factor -2*w**3/7 + 32*w**2/7 - 170*w/7 + 300/7.
-2*(w - 6)*(w - 5)**2/7
Find m such that -4*m**2 - 26168*m - 42797764 = 0.
-3271
Suppose 9*r**5/8 - 87*r**4/4 + 36*r**3 + 567*r**2/4 + 663*r/8 = 0. Calculate r.
-1, 0, 13/3, 17
Determine f, given that -24*f**5 - 66*f**4 + 117*f**3 - 15*f**2 - 12*f = 0.
-4, -1/4, 0, 1/2, 1
Let -10*f**4 - 1145*f**3 - 34145*f**2 - 76720*f + 47040 = 0. What is f?
-56, -3, 1/2
Factor -3*c**2/2 + 6597*c - 13191/2.
-3*(c - 4397)*(c - 1)/2
Determine u, given that -3*u**5 - 21*u**4 - 21*u**3 + 57*u**2 + 48*u - 60 = 0.
-5, -2, 1
Find k such that 3*k**4 - 753*k**3 - 9*k**2 + 2253*k + 1506 = 0.
-1, 2, 251
Factor -x**4 + 8*x**3 + 19*x**2 + 10*x.
-x*(x - 10)*(x + 1)**2
Factor -4*w**4 + 1068*w**3 + 3232*w**2 + 2160*w.
-4*w*(w - 270)*(w + 1)*(w + 2)
Suppose 27*x**3 - 7236*x**2 - 4*x/3 + 1072/3 = 0. Calculate x.
-2/9, 2/9, 268
Factor 2*g**2/5 - 552*g/5.
2*g*(g - 276)/5
Factor 2*f**2/9 - 212*f/9 + 5618/9.
2*(f - 53)**2/9
Factor z**5 + 31*z**4 + 278*z**3 + 260*z**2 - 4200*z.
z*(z - 3)*(z + 10)**2*(z + 14)
Suppose -k**3/5 - 6*k**2/5 - k = 0. What is k?
-5, -1, 0
Let 75*f**5 - 1840*f**4 - 7008*f**3 - 7504*f**2 - 3120*f - 448 = 0. Calculate f.
-2, -2/3, -2/5, 28
Let -2*q**5 - 12*q**4 + 30*q**3 - 16*q**2 = 0. What is q?
-8, 0, 1
Factor 2*i**3/9 + 62*i**2/9 + 638*i/9 + 242.
2*(i + 9)*(i + 11)**2/9
Factor -10*b**3/9 - 46*b**2/9 + 80*b/9 - 8/3.
-2*(b - 1)*(b + 6)*(5*b - 2)/9
Solve 10*c**5 + 65*c**4 - 125*c**3 - 25*c**2 + 115*c - 40 = 0.
-8, -1, 1/2, 1
Factor 3*f**4 + 3*f**3 - 30*f**2 - 12*f + 72.
3*(f - 2)**2*(f + 2)*(f + 3)
Factor -f**3/2 + 343*f**2 + 688*f.
-f*(f - 688)*(f + 2)/2
Factor 2*x**3 - 258*x**2 + 11094*x - 159014.
2*(x - 43)**3
Factor -26*f**2/5 - 4608*f - 3544/5.
-2*(f + 886)*(13*f + 2)/5
Suppose 2*d**4 + 56*d**3 - 180*d**2 + 184*d - 62 = 0. What is d?
-31, 1
Solve -134456*s**5 + 912380*s**4 - 2476460*s**3 + 3360910*s**2 - 4561235*s/2 + 2476099/4 = 0 for s.
19/14
Factor y**4 - 7*y**3 + 13*y**2 + 3*y - 18.
(y - 3)**2*(y - 2)*(y + 1)
Factor -s**4/2 + 3*s**2/2 - s.
-s*(s - 1)**2*(s + 2)/2
Solve -b**4/9 + 4*b**3/9 - 4*b**2/9 = 0 for b.
0, 2
What is k in 3*k**4 - 30*k**3 - 72*k**2 = 0?
-2, 0, 12
Factor -363*b**5/7 - 165*b**4 - 1290*b**3/7 - 570*b**2/7 - 75*b/7 - 3/7.
-3*(b + 1)**3*(11*b + 1)**2/7
Factor -3*u**5 + 15*u**4 - 30*u**3 + 30*u**2 - 15*u + 3.
-3*(u - 1)**5
Factor 3*k**3/7 - 291*k**2/7 + 6600*k/7 + 22500/7.
3*(k - 50)**2*(k + 3)/7
Determine g so that -3*g**5 - 75*g**4 - 489*g**3 - 81*g**2 + 1944*g - 1296 = 0.
-12, -3, 1
Let -a**5/4 - 2*a**4 + 3*a**3 + 13*a**2/2 - 11*a/4 - 9/2 = 0. Calculate a.
-9, -1, 1, 2
Determine h so that -16*h**4 + 156*h**3 + 56*h**2 - 156*h - 40 = 0.
-1, -1/4, 1, 10
Find i, given that -2*i**2/19 + 142*i/19 = 0.
0, 71
Factor 4*z**4 - 2*z**3 - 6*z**2 + 2*z + 2.
2*(z - 1)**2*(z + 1)*(2*z + 1)
Factor 24*w**2 + 188*w - 32.
4*(w + 8)*(6*w - 1)
Let -9*g**4/8 - 21*g**3/8 - 15*g**2/8 - 3*g/8 = 0. What is g?
-1, -1/3, 0
Let 4*y**2 - 4256*y + 4252 = 0. Calculate y.
1, 1063
Find v such that -4*v**4 + 16*v**3 + 52*v**2 - 16*v - 48 = 0.
-2, -1, 1, 6
What is x in -x**3/3 - 14*x**2/3 - 19*x/3 + 70 = 0?
-10, -7, 3
Find s such that 44*s**4 - 84*s**3 - 52*s**2 + 84*s + 8 = 0.
-1, -1/11, 1, 2
Suppose 2*o**2/5 + 64*o/5 + 512/5 = 0. What is o?
-16
Factor 3*z**4 - 33*z**3 + 57*z**2 - 27*z.
3*z*(z - 9)*(z - 1)**2
Suppose -4*k**2 + 40*k - 36 = 0. What is k?
1, 9
Solve 4*x**5/5 + 508*x**4/5 + 21664*x**3/5 + 316512*x**2/5 + 254016*x/5 - 592704/5 = 0 for x.
-42, -2, 1
Solve -q**4/8 + q**3/8 + 13*q**2/8 - 25*q/8 + 3/2 = 0 for q.
-4, 1, 3
Factor -4*k**5 - 4*k**4 + 8*k**3 + 8*k**2 - 4*k - 4.
-4*(k - 1)**2*(k + 1)**3
Find v such that 2*v**4 + 29*v**3 - 17*v**2 - 29*v + 15 = 0.
-15, -1, 1/2, 1
Find q, given that -98*q**2/15 - 2604*q/5 - 51894/5 = 0.
-279/7
Factor -2*a**2/23 - 180*a/23.
-2*a*(a + 90)/23
Suppose 3*r**4 + 39*r**3 + 171*r**2 + 285*r + 150 = 0. What is r?
-5, -2, -1
Factor -2*g**4 - 319*g**3 - 13557*g**2 - 65989*g - 29645.
-(g + 5)*(g + 77)**2*(2*g + 1)
Factor t**4 - 18*t**3 + 47*t**2 - 30*t.
t*(t - 15)*(t - 2)*(t - 1)
Factor -2*o**3 + 48*o**2 - 288*o + 512.
-2*(o - 16)*(o - 4)**2
Factor -4*f**4 + 176*f**3 - 1548*f**2 - 8640*f - 6912.
-4*(f - 24)**2*(f + 1)*(f + 3)
Factor -i**3/7 - 41*i**2/7 - 398*i/7 + 440/7.
-(i - 1)*(i + 20)*(i + 22)/7
Factor 5*k**2 - 30*k.
5*k*(k - 6)
Solve -3*l**4/5 - 48*l**3/5 - 27*l**2/5 + 54*l = 0 for l.
-15, -3, 0, 2
Let -3*n**2 - 680*n + 912 = 0. What is n?
-228, 4/3
Factor -5*b**4 - 205*b**3 + 445*b**2 + 645*b.
-5*b*(b - 3)*(b + 1)*(b + 43)
Factor 5*m**3 + 105*m**2 + 190*m.
5*m*(m + 2)*(m + 19)
Let -m**5/10 + 79*m**3/10 - 199*m**2/5 + 336*m/5 - 176/5 = 0. Calculate m.
-11, 1, 2, 4
Factor 3*o**4/7 + 360*o**3/7.
3*o**3*(o + 120)/7
What is x in 2*x**3 - 1188*x**2 + 235224*x - 15524784 = 0?
198
Let 2*p**3/9 + 1694*p**2/3 + 1434818*p/3 + 1215290846/9 = 0. Calculate p.
-847
Factor -2*s**5/3 + 62*s**4/3 + 532*s**3/3.
-2*s**3*(s - 38)*(s + 7)/3
Factor -2*v**3/7 - 78*v**2/7 - 432*v/7 + 512/7.
-2*(v - 1)*(v + 8)*(v + 32)/7
Factor 3*a**4 - 1110*a**3 - 4473*a**2 - 5604*a - 2244.
3*(a - 374)*(a + 1)**2*(a + 2)
Solve -3*s**3/5 + 132*s**2/5 - 129*s/5 = 0 for s.
0, 1, 43
What is s in -100*s**2 + 1580*s - 6241 = 0?
79/10
Factor 2*u**3 - 12*u**2 - 50*u - 36.
2*(u - 9)*(u + 1)*(u + 2)
Factor -4*z**4/9 - 208*z**3/9 - 3856*z**2/9 - 3328*z - 9216.
-4*(z + 8)**2*(z + 18)**2/9
What is d in 5*d**3 + 15*d**2 - 540*d = 0?
-12, 0, 9
Find m such that -m**3 + 601*m**2 - 89999*m - 90601 = 0.
-1, 301
Factor -s**5/3 + 5*s**4/3 - 4*s**3/3 - 16*s**2/3 + 32*s/3 - 16/3.
-(s - 2)**3*(s - 1)*(s + 2)/3
Solve -330*g**5 + 63*g**4 + 888*g**3 + 579*g**2 + 72*g - 12 = 0.
-1, -1/2, -2/5, 1/11, 2
Factor -3*z**5/2 - 3*z**4/2 + 3*z**3 + 3*z**2 - 3*z/2 - 3/2.
-3*(z - 1)**2*(z + 1)**3/2
Factor -4*i**3 - 28*i**2 - 60*i - 36.
-4*(i + 1)*(i + 3)**2
Determine c so that -45*c**5/2 - 1266*c**4 - 665*c**3/2 + 197*c**2 + 56*c = 0.
-56, -1/3, 0, 2/5
Solve 22*v**2/7 + 40*v/7 - 8/7 = 0 for v.
-2, 2/11
Solve 4*j**2 - 312*j = 0.
0, 78
Factor -2*h**2/17 + 22*h/17 - 36/17.
-2*(h - 9)*(h - 2)/17
Suppose h**2 - 10*h - 39 = 0. Calculate h.
-3, 13
Factor 5*d**3 - 145*d**2 + 1200*d - 3060.
5*(d - 17)*(d - 6)**2
Determine w, given that -4*w**3/7 + 4*w**2/7 + 64*w/7 - 64/7 = 0.
-4, 1, 4
Suppose -33*u**4/4 - 813*u**3/4 + 333*u**2/4 + 813*u/4 - 75 = 0. What is u?
-25, -1, 4/11, 1
Factor -z**3/4 - 157*z**2/4 + 969*z/4 - 1467/4.
-(z - 3)**2*(z + 16