**2/5
Factor a**4/4 - 7*a**3/4 + 17*a**2/4 - 17*a/4 + 3/2.
(a - 3)*(a - 2)*(a - 1)**2/4
Solve z**3/4 - 13*z**2/4 + 55*z/4 - 75/4 = 0 for z.
3, 5
Determine d so that -6*d**5 - 44*d**4 - 50*d**3 - 12*d**2 = 0.
-6, -1, -1/3, 0
Solve -6*w**4/11 + 1164*w**3/11 - 65958*w**2/11 + 83808*w - 342144 = 0 for w.
9, 88
Factor -2*l**4 + 2*l**2.
-2*l**2*(l - 1)*(l + 1)
Determine x, given that -2*x**2/5 + 1456*x - 1324960 = 0.
1820
Find m such that -5*m**5 + 75*m**4 - 315*m**3 + 245*m**2 = 0.
0, 1, 7
What is n in -478*n**2/5 + 286*n + 12/5 = 0?
-2/239, 3
Let 35*a**5 - 40*a**4 - 100*a**3 + 50*a**2 + 65*a - 10 = 0. What is a?
-1, 1/7, 1, 2
Let 2*d**3/9 - 478*d**2/9 - 160*d/3 = 0. Calculate d.
-1, 0, 240
Find c, given that c**5/8 - 79*c**4/8 + 837*c**3/4 - 1121*c**2/2 + 361*c = 0.
0, 1, 2, 38
Determine s, given that s**5/10 - s**4/2 + 7*s**3/10 + s**2/10 - 4*s/5 + 2/5 = 0.
-1, 1, 2
Determine w, given that 2*w**5 + 62*w**4 + 446*w**3 - 574*w**2 - 448*w + 512 = 0.
-16, -1, 1
Factor g**3/2 + 15*g**2/2 + 7*g.
g*(g + 1)*(g + 14)/2
Let -n**5/2 + 55*n**4/2 - 512*n**3 + 3348*n**2 - 1944*n - 5832 = 0. What is n?
-1, 2, 18
Suppose 4*o**5 - 8*o**4 - 68*o**3 + 280*o**2 - 368*o + 160 = 0. What is o?
-5, 1, 2
Let -2*o**2/19 - 26*o/19 - 72/19 = 0. Calculate o.
-9, -4
Factor 4*q**3 - 16*q**2 + 12*q.
4*q*(q - 3)*(q - 1)
Factor -q**5 + 24*q**4 - 189*q**3 + 490*q**2.
-q**2*(q - 10)*(q - 7)**2
Solve -o**4 + 4*o**2 = 0.
-2, 0, 2
Factor -2*a**2/7 - 2196*a/7 + 6606/7.
-2*(a - 3)*(a + 1101)/7
Suppose 4*u**2 - 176*u + 1936 = 0. Calculate u.
22
Solve -3*x**5/2 + 663*x**4 - 9153*x**3/2 + 3867*x**2 + 20928*x - 20880 = 0 for x.
-2, 1, 4, 435
Factor -3*i**3 + 3*i**2 + 30*i + 24.
-3*(i - 4)*(i + 1)*(i + 2)
Solve 3*g**4/4 + 57*g**3/4 - 675*g**2/4 + 2187*g/4 - 567 = 0 for g.
-28, 3
Determine f, given that -2*f**3/7 + 232*f**2/7 - 230*f/7 = 0.
0, 1, 115
Solve 4*l**3 - 36*l**2 + 32*l = 0.
0, 1, 8
Find s such that 3*s**5/4 + 15*s**4/2 + 45*s**3/2 + 15*s**2 - 93*s/4 - 45/2 = 0.
-5, -3, -2, -1, 1
Find s, given that 2*s**5/15 + 2*s**4/5 + 2*s**3/15 - 2*s**2/5 - 4*s/15 = 0.
-2, -1, 0, 1
Solve -2*z**5/15 - 134*z**4 - 504004*z**3/15 + 508028*z**2/15 + 168002*z/5 - 506018/15 = 0.
-503, -1, 1
Factor 2*o**2/9 - 4*o + 34/9.
2*(o - 17)*(o - 1)/9
What is q in -q**2 - 664*q - 110224 = 0?
-332
Find m, given that 36*m**4 - 23448*m**3 + 3810292*m**2 + 2548016*m + 425104 = 0.
-1/3, 326
Determine z, given that -33*z**4/5 + 357*z**3/5 - 1221*z**2/5 + 1251*z/5 + 54 = 0.
-2/11, 3, 5
Factor -2*w**3/5 - 726*w**2/5 - 13392*w - 38880.
-2*(w + 3)*(w + 180)**2/5
Suppose a**5 - 43*a**4 - a**3 + 43*a**2 = 0. What is a?
-1, 0, 1, 43
Find h, given that -h**3 + 13*h**2 - 10*h - 24 = 0.
-1, 2, 12
Factor -5*k**2 + 130*k + 600.
-5*(k - 30)*(k + 4)
Let -5*h**4 + 135*h**3 - 675*h**2 - 3375*h = 0. What is h?
-3, 0, 15
Find d such that -2*d**2/3 - 1298*d/3 - 432 = 0.
-648, -1
What is a in 14*a**2/17 + 2*a/17 = 0?
-1/7, 0
Let -12*a**2 + 556*a - 1064 = 0. Calculate a.
2, 133/3
Factor -5*o**3 - 15*o**2 + 120*o - 140.
-5*(o - 2)**2*(o + 7)
Find u such that 2*u**3/9 - 10*u**2/9 - 146*u/9 + 154/9 = 0.
-7, 1, 11
Factor q**3 + 19*q**2 - 41*q + 21.
(q - 1)**2*(q + 21)
Solve -3*s**5/2 + s**4 + 2*s**3 - s**2 - s/2 = 0.
-1, -1/3, 0, 1
Factor a**3/3 + 2*a**2/3 - 5*a.
a*(a - 3)*(a + 5)/3
Solve 16*z**5/7 - 614*z**4/21 + 148*z**3/7 + 146*z**2/21 - 8*z/7 = 0 for z.
-1/3, 0, 1/8, 1, 12
Solve 7*l**5/3 - 349*l**4/3 + 93*l**3 + 733*l**2/3 + 98*l/3 = 0.
-1, -1/7, 0, 2, 49
Factor r**2/2 + 23*r + 529/2.
(r + 23)**2/2
Factor x**4/3 - 2*x**3 - 49*x**2/3 - 22*x.
x*(x - 11)*(x + 2)*(x + 3)/3
What is v in -2*v**5/5 + 1246*v**4/5 - 38688*v**3 - 194688*v**2/5 = 0?
-1, 0, 312
Factor i**4/9 - 47*i**3/3 - 97*i**2 - 147*i.
i*(i - 147)*(i + 3)**2/9
Factor i**2 + 46*i - 47.
(i - 1)*(i + 47)
Suppose -2*t**4/23 + 16*t**3/23 + 104*t**2/23 - 64*t/23 - 384/23 = 0. Calculate t.
-4, -2, 2, 12
Determine m so that 2*m**2/5 - 272*m/5 = 0.
0, 136
Let 4*y**5 + 32*y**4 - 20*y**3 - 160*y**2 + 16*y + 128 = 0. Calculate y.
-8, -2, -1, 1, 2
Factor l**3/6 + 23*l**2/6 - 4*l.
l*(l - 1)*(l + 24)/6
Factor -2*k**4/5 + 58*k**3/5 - 528*k**2/5 + 288*k.
-2*k*(k - 12)**2*(k - 5)/5
Suppose 15*u**3/8 - 39*u**2/8 - 36*u - 27/2 = 0. What is u?
-3, -2/5, 6
Factor -3*x**3 - 3*x**2 + 66*x + 120.
-3*(x - 5)*(x + 2)*(x + 4)
Let -5*l**5 - 150*l**4 - 1585*l**3 - 6580*l**2 - 5760*l + 14080 = 0. Calculate l.
-11, -8, -4, 1
Factor -44*l**3 + 4*l**2 + 176*l - 16.
-4*(l - 2)*(l + 2)*(11*l - 1)
Factor -129730653*d**3/4 - 7761663*d**2/2 - 154791*d - 2058.
-3*(351*d + 14)**3/4
Determine p, given that -3*p**2/5 - 33*p/5 + 1566/5 = 0.
-29, 18
Factor -4*t**2 + 51*t + 13.
-(t - 13)*(4*t + 1)
Suppose -2*c**5/9 - 20*c**4/3 + 196*c**3/9 - 8*c**2 - 194*c/9 + 44/3 = 0. What is c?
-33, -1, 1, 2
Solve 2*i**4 - 22*i**3 + 54*i**2 - 50*i + 16 = 0.
1, 8
Let q**3 - 15*q**2 + 62*q - 72 = 0. Calculate q.
2, 4, 9
Factor y**3/3 + 43*y**2 - 179*y - 665/3.
(y - 5)*(y + 1)*(y + 133)/3
Factor -5*y**4 - 5*y**3 + 30*y**2.
-5*y**2*(y - 2)*(y + 3)
Find m, given that -4*m**2 + 4*m = 0.
0, 1
What is k in 2*k**3 - 6*k + 4 = 0?
-2, 1
Factor 5*t**2 - 660*t + 21780.
5*(t - 66)**2
Factor -3*p**3 + 1914*p**2 + 3*p - 1914.
-3*(p - 638)*(p - 1)*(p + 1)
Factor -5*s**2 - 10*s + 4495.
-5*(s - 29)*(s + 31)
Let 2*x**3 - 80*x**2 + 154*x - 76 = 0. What is x?
1, 38
Let -w**5 - 31*w**4 + 100*w**3 - 68*w**2 = 0. What is w?
-34, 0, 1, 2
Suppose -64*l**4 + 70752*l**3 + 106236*l**2 + 39848*l + 4428 = 0. What is l?
-1, -1/4, 1107
Factor -r**4 - 15*r**3 - 38*r**2 - 24*r.
-r*(r + 1)*(r + 2)*(r + 12)
Factor 123*p**3 + 252*p**2 + 135*p + 6.
3*(p + 1)**2*(41*p + 2)
Let -3*j**2 - 24*j = 0. Calculate j.
-8, 0
Factor -u**3/4 + 413*u**2/4 + 829*u/4 + 415/4.
-(u - 415)*(u + 1)**2/4
Factor 3*v**4/7 + 132*v**3/7 + 720*v**2/7 + 1392*v/7 + 912/7.
3*(v + 2)**3*(v + 38)/7
Factor -x**3 + 20*x**2 - 75*x.
-x*(x - 15)*(x - 5)
What is h in 15*h**5/2 - 177*h**4 + 813*h**3 + 2694*h**2 + 4407*h/2 + 507 = 0?
-1, -2/5, 13
Factor 2*b**2/11 + 134*b/11 + 384/11.
2*(b + 3)*(b + 64)/11
What is b in -19*b**5/2 - 1849*b**4/6 - 13475*b**3/6 + 8255*b**2/2 - 4114*b/3 - 578/3 = 0?
-17, -2/19, 2/3, 1
Suppose 5*w**5/2 - 80*w**4 + 75*w**3 + 80*w**2 - 155*w/2 = 0. What is w?
-1, 0, 1, 31
Factor 4*c**5/3 - 568*c**4/3 + 18400*c**3/3 + 124352*c**2/3 + 258112*c/3 + 175232/3.
4*(c - 74)**2*(c + 2)**3/3
Factor y**2/3 + 7*y.
y*(y + 21)/3
Factor -3*y**2 - 42*y.
-3*y*(y + 14)
Let -2*j**3/15 + 4*j**2/15 + 128*j/15 + 64/3 = 0. What is j?
-4, 10
Find d, given that -5*d**5 - 5*d**4 + 215*d**3 + 5*d**2 - 210*d = 0.
-7, -1, 0, 1, 6
Solve k**2 - 48*k + 576 = 0 for k.
24
Let -r**2/6 + 122*r/3 - 7442/3 = 0. Calculate r.
122
Factor -3*m**2/7 + 1488*m/7 + 2988/7.
-3*(m - 498)*(m + 2)/7
Factor -5*u**4 - 165*u**3 + 5*u**2 + 165*u.
-5*u*(u - 1)*(u + 1)*(u + 33)
Factor l**2/3 + 1184*l/3 - 2372/3.
(l - 2)*(l + 1186)/3
What is s in 5*s**2 + 485*s = 0?
-97, 0
Let -5*f**2 + 40*f + 100 = 0. Calculate f.
-2, 10
Factor 5*t**4 - 45*t**3 + 30*t**2 + 80*t.
5*t*(t - 8)*(t - 2)*(t + 1)
Let -2*l**4/3 + 26*l**3/3 - 44*l**2/3 = 0. What is l?
0, 2, 11
Suppose r**4/4 + 2*r**3 + 11*r**2/2 + 6*r + 9/4 = 0. What is r?
-3, -1
Suppose -3*c**5 - 15*c**4 - 18*c**3 + 6*c**2 + 21*c + 9 = 0. Calculate c.
-3, -1, 1
Factor 2*a**4 + 32*a**3 - 742*a**2 + 2940*a.
2*a*(a - 7)**2*(a + 30)
Factor -2*o**2/13 + 24308*o/13 - 73859858/13.
-2*(o - 6077)**2/13
Determine r, given that -2*r**5 + 44*r**4 - 204*r**3 - 200*r**2 + 1550*r + 1500 = 0.
-2, -1, 5, 15
Find d, given that -4*d**3 + 32*d**2 + 620*d + 1800 = 0.
-5, 18
Find f, given that 3*f**2 + 123*f - 126 = 0.
-42, 1
Factor -2*y**2/5 - 128*y + 4578/5.
-2*(y - 7)*(y + 327)/5
Determine b, given that -20*b**5/3 - 68*b**4/3 - 4*b**3 + 116*b**2/3 + 32*b/3 - 16 = 0.
-2, -1, 3/5, 1
Factor 5*b**4 + 120*b**3 + 990*b**2 + 3240*b + 3645.
5*(b + 3)**2*(b + 9)**2
Factor 2*y**2/3 - 5960*y + 13320600.
2*(y - 4470)**2/3
Determine v so that 4*v**2/3 + 8312*v/3 + 4318084/3 = 0.
-1039
Let 2*w**4 + 8*w**3 + 6*w**2 - 8*w - 8 = 0. What is w?
-2, -1, 1
Find a such that 2*a**2/11 - 78*a/11 + 148/11 = 0.
2, 37
Factor 354*r**2/17 - 1066*r/17 + 12/17.
2*(r - 3)*(177*r - 2)/17
Factor -2*r**3/3 + r**2/6.
-r**2*(4*r - 1)/6
Let 3*m**4 + 234*m**3 - 477*m**2 + 240*m = 0. Calculate m.
-80, 0, 1
Suppose -c**3 - 32*c**2 - 87*c = 0. Calculate c.
-29,