*5/4 + 2*l**4 + 19*l**3/4 + 5*l**2/2 = 0. Calculate l.
-1, 0, 10
Factor 3*m**2/7 + 141*m/7 + 120.
3*(m + 7)*(m + 40)/7
Determine w so that 15*w**3 + 2061*w**2 + 2862*w + 816 = 0.
-136, -1, -2/5
Factor -4*z**3/7 - 52*z**2/7 - 220*z/7 - 300/7.
-4*(z + 3)*(z + 5)**2/7
Solve 3*q**5/2 + 9*q**4 - 6*q**3 - 135*q**2 - 567*q/2 - 162 = 0 for q.
-3, -1, 4
Factor n**2 - 8*n - 48.
(n - 12)*(n + 4)
Find o, given that -3*o**4 - 18*o**3 + 81*o**2 - 12*o - 108 = 0.
-9, -1, 2
Factor -2*b**5/19 + 160*b**4/19 - 462*b**3/19.
-2*b**3*(b - 77)*(b - 3)/19
Solve 3*t**2 - 327*t + 2142 = 0.
7, 102
Factor -4*c**2/7 - 632*c/7 - 1248/7.
-4*(c + 2)*(c + 156)/7
Factor -2*t**3 + 548*t**2 - 1082*t - 1632.
-2*(t - 272)*(t - 3)*(t + 1)
Determine k, given that -4*k**2 - 828*k + 832 = 0.
-208, 1
Factor -4*w**4/3 + 4*w**2 + 8*w/3.
-4*w*(w - 2)*(w + 1)**2/3
Solve -2*s**5 + 98*s**4 + 10*s**3 - 490*s**2 - 8*s + 392 = 0.
-2, -1, 1, 2, 49
Factor 3*k**2/2 - 14964*k + 37320216.
3*(k - 4988)**2/2
Let 3*q**3 + 258*q**2 + 5796*q + 10584 = 0. Calculate q.
-42, -2
Factor -5*i**4/4 + 15*i**3/4 + 5*i**2/4 - 15*i/4.
-5*i*(i - 3)*(i - 1)*(i + 1)/4
Let -384*n**4 - 771*n**3 - 6*n**2 = 0. Calculate n.
-2, -1/128, 0
Suppose -j**5 - 26*j**4 + 87*j**3 - 4*j**2 - 116*j = 0. Calculate j.
-29, -1, 0, 2
Factor 2*p**5/3 + 28*p**4/3 + 48*p**3 + 108*p**2 + 90*p.
2*p*(p + 3)**3*(p + 5)/3
Factor -3*u**3/4 + 1437*u**2/4 - 2145*u/2 + 714.
-3*(u - 476)*(u - 2)*(u - 1)/4
Factor 2*c**5/9 - 20*c**4/3 + 200*c**3/3 - 2320*c**2/9 + 1280*c/3 - 256.
2*(c - 12)**2*(c - 2)**3/9
Factor 3*k**5/4 - 33*k**4/2 + 315*k**3/4 - 108*k**2.
3*k**2*(k - 16)*(k - 3)**2/4
What is x in -2*x**5 - 6*x**4 + 30*x**3 - 34*x**2 + 12*x = 0?
-6, 0, 1
Factor 4*s**3 - 20*s**2 + 28*s - 12.
4*(s - 3)*(s - 1)**2
Factor w**4/2 - 59*w**3/2 - 61*w**2/2 + 59*w/2 + 30.
(w - 60)*(w - 1)*(w + 1)**2/2
Let 2*g**3 + 40*g**2 - 86*g + 44 = 0. Calculate g.
-22, 1
Factor 4*y**4/7 + 824*y**3/7 + 44052*y**2/7 + 166448*y/7 + 163216/7.
4*(y + 2)**2*(y + 101)**2/7
Factor m**2/7 + 20*m/7 - 96/7.
(m - 4)*(m + 24)/7
Determine k, given that k**5/3 + 7*k**4 + 46*k**3 + 298*k**2/3 + 87*k + 27 = 0.
-9, -1
Find v such that -v**5/7 - 2*v**4/7 + 6*v**3/7 + 4*v**2/7 - 13*v/7 + 6/7 = 0.
-3, -2, 1
Find k such that 3*k**5/7 + 111*k**4/7 + 213*k**3/7 + 15*k**2 = 0.
-35, -1, 0
Determine y, given that -y**4/4 - 4*y**3 - 13*y**2/4 + 15*y/2 = 0.
-15, -2, 0, 1
Factor -3*u**5/5 + 102*u**4/5 - 39*u**3 + 96*u**2/5.
-3*u**2*(u - 32)*(u - 1)**2/5
Determine o so that 2*o**3/9 + 44*o**2 + 2904*o + 63888 = 0.
-66
Factor -2*u**2 - 7661*u/2 - 1915/2.
-(u + 1915)*(4*u + 1)/2
Factor 3*j**4/4 + 525*j**3/2 + 31050*j**2 + 2578875*j/2 + 22813125/4.
3*(j + 5)*(j + 115)**3/4
What is a in -4*a**5 - 544*a**4 + 4*a**3 + 544*a**2 = 0?
-136, -1, 0, 1
Determine o so that o**5 + 4*o**4 - 12*o**3 - 54*o**2 + 27*o + 162 = 0.
-3, 2, 3
Factor -3*k**2 + 1893*k + 1896.
-3*(k - 632)*(k + 1)
Let -b**2 + 16*b + 57 = 0. Calculate b.
-3, 19
Suppose -m**4/3 + 11*m**3/3 - 26*m**2/3 + 16*m/3 = 0. What is m?
0, 1, 2, 8
Factor -5*p**2 + 250*p - 3125.
-5*(p - 25)**2
What is c in -3*c**5 + 30*c**4 - 39*c**3 - 180*c**2 - 108*c = 0?
-1, 0, 6
Find a, given that 2*a**4 + 2*a**3 - 6*a**2 - 10*a - 4 = 0.
-1, 2
Factor -y**2/3 - 17*y/3.
-y*(y + 17)/3
Determine v, given that -v**3/5 + 4*v**2/5 + 3*v/5 - 18/5 = 0.
-2, 3
Solve -s**3 + 14*s**2 - 44*s + 40 = 0.
2, 10
Solve 3*k**4 - 828*k**3 + 58764*k**2 - 225216*k + 221952 = 0 for k.
2, 136
Factor i**5/8 + 31*i**4/8 + 27*i**3/8 - 95*i**2/8 - 19*i - 15/2.
(i - 2)*(i + 1)**3*(i + 30)/8
Factor -a**3/6 + 47*a**2 - 4418*a + 415292/3.
-(a - 94)**3/6
Factor -s**4 + 5*s**3 + s**2 - 5*s.
-s*(s - 5)*(s - 1)*(s + 1)
Determine p so that 4*p**3/3 + 8*p**2/3 - 4*p = 0.
-3, 0, 1
Factor g**4/7 - 27*g**3/7 - 186*g**2/7 - 388*g/7 - 264/7.
(g - 33)*(g + 2)**3/7
Factor -w**3/2 + 55*w**2/2 - 147*w.
-w*(w - 49)*(w - 6)/2
Determine i so that -5*i**4 + 35*i**3 = 0.
0, 7
Let 4*q**2 + 128*q + 240 = 0. What is q?
-30, -2
Factor 2*p**3/13 + 10*p**2/13 - 154*p/13 - 882/13.
2*(p - 9)*(p + 7)**2/13
Factor v**4/5 + 3*v**3/5 - 3*v**2/5 - 7*v/5 + 6/5.
(v - 1)**2*(v + 2)*(v + 3)/5
Factor a**3 + 28*a**2 + 71*a - 100.
(a - 1)*(a + 4)*(a + 25)
Factor -2*q**4/15 + 4*q**3/15 + 2*q**2/5.
-2*q**2*(q - 3)*(q + 1)/15
Factor -3*t**2/5 - 234*t/5 + 237/5.
-3*(t - 1)*(t + 79)/5
Suppose -2*o**5/13 + 10*o**4/13 + 30*o**3/13 - 10*o**2 + 140*o/13 - 48/13 = 0. Calculate o.
-4, 1, 6
Let -j**3/2 + 23*j**2/2 + 609*j/2 + 585/2 = 0. What is j?
-15, -1, 39
Determine v, given that -3*v**3 - 45*v**2 = 0.
-15, 0
Let 321*s**2/2 + 339*s/2 + 9 = 0. Calculate s.
-1, -6/107
Determine i, given that -9*i**4 + 39*i**3 + 249*i**2 + 129*i - 72 = 0.
-3, -1, 1/3, 8
Let 33*i**2 - 5*i = 0. Calculate i.
0, 5/33
Let -2*s**3/3 - 2*s**2/3 = 0. What is s?
-1, 0
Determine a, given that 10*a**2 + 5*a = 0.
-1/2, 0
Factor -4*x**2/5 + 808*x/5 - 3168/5.
-4*(x - 198)*(x - 4)/5
Factor -35*i**5 - 50*i**4 + 40*i**3.
-5*i**3*(i + 2)*(7*i - 4)
Solve -4*a**3/5 - 136*a**2/5 + 148*a/5 + 56 = 0.
-35, -1, 2
Suppose -x**2/4 + 25/4 = 0. Calculate x.
-5, 5
Factor -2*j**4 - 30*j**3 - 126*j**2 - 98*j.
-2*j*(j + 1)*(j + 7)**2
Find b such that -b**4/3 - 49*b**3/3 - 305*b**2/3 - 467*b/3 - 70 = 0.
-42, -5, -1
Solve 25*a**2/4 + 527*a/4 + 21/2 = 0.
-21, -2/25
Factor i**2/5 - 18*i/5 + 81/5.
(i - 9)**2/5
Determine g so that -g**5/2 - 33*g**4/2 + 475*g**3/2 - 407*g**2/2 - 237*g + 220 = 0.
-44, -1, 1, 10
Factor d**5/8 - 5*d**4/4 + 21*d**3/8 + d**2/2 - 7*d/2.
d*(d - 7)*(d - 2)**2*(d + 1)/8
Factor -6*u**2 + 9*u + 42.
-3*(u + 2)*(2*u - 7)
Find w such that 5*w**2 + 70*w - 735 = 0.
-21, 7
Factor q**4/5 - 14*q**3/5 + 17*q**2/5 + 16*q + 48/5.
(q - 12)*(q - 4)*(q + 1)**2/5
Factor -2*v**2/9 - 2*v/3.
-2*v*(v + 3)/9
Suppose s**4/3 - 7*s**3/3 + 2*s**2 + 28*s/3 - 40/3 = 0. Calculate s.
-2, 2, 5
Let 15*h**3 + 260*h**2 + 325*h + 80 = 0. Calculate h.
-16, -1, -1/3
Factor 4*k**4/5 - 8*k**2/5 + 4/5.
4*(k - 1)**2*(k + 1)**2/5
Find a, given that 2*a**4/13 + 12*a**3/13 - 106*a**2/13 + 60*a/13 + 176/13 = 0.
-11, -1, 2, 4
Find l, given that -l**3/2 + 29*l**2/2 - 112*l + 98 = 0.
1, 14
Suppose -11*z**3 - 80*z**2 - 172*z - 112 = 0. Calculate z.
-4, -2, -14/11
Find q such that 80*q**2 + 4*q - 76 = 0.
-1, 19/20
Suppose -5*a**4 + 15*a**3 + 100*a**2 - 240*a - 320 = 0. Calculate a.
-4, -1, 4
Let -11*z**5/2 - 35*z**4/2 + 228*z**3 - 508*z**2 + 296*z + 72 = 0. What is z?
-9, -2/11, 2
Find n, given that 4*n**2/3 - 288*n + 15552 = 0.
108
Suppose 3*c**5 - 15*c**4 - 9*c**3 + 135*c**2 - 162*c = 0. Calculate c.
-3, 0, 2, 3
Find x, given that 2*x**3/9 + 86*x**2/9 - 368*x/9 + 376/9 = 0.
-47, 2
Solve -4*p**3 + 208*p**2 + 212*p = 0 for p.
-1, 0, 53
Suppose 6*u**4/11 + 86*u**3/11 + 14*u**2 - 174*u/11 - 72/11 = 0. What is u?
-12, -3, -1/3, 1
Factor -2*s**2/23 - 162*s/23 + 164/23.
-2*(s - 1)*(s + 82)/23
Solve 4*o**5 - 136*o**4 + 1220*o**3 + 16*o**2 - 19968*o + 36864 = 0.
-4, 3, 16
Find r, given that 2*r**2/3 - 1160*r/3 + 168200/3 = 0.
290
What is w in 2*w**2/13 - 16*w - 1792/13 = 0?
-8, 112
Find d such that 12*d**5 - 34*d**4 + 14*d**3 + 16*d**2 - 8*d = 0.
-2/3, 0, 1/2, 1, 2
Suppose 15*c**3 + 13040*c**2 + 17365*c + 4340 = 0. What is c?
-868, -1, -1/3
Suppose 3*d**2/4 - 36*d - 147/4 = 0. What is d?
-1, 49
Solve 3*k**4/4 + 333*k**3/4 + 1281*k**2/4 - 333*k/4 - 321 = 0.
-107, -4, -1, 1
Let -y**4 - 55*y**3/4 - 43*y**2/2 - 23*y/4 + 3 = 0. Calculate y.
-12, -1, 1/4
Determine f, given that -100*f**5/7 + 2020*f**4/7 - 3936*f**3/7 - 544*f**2/7 + 1984*f/7 + 576/7 = 0.
-2/5, 1, 2, 18
Factor -h**2/4 + 141*h/4 + 760.
-(h - 160)*(h + 19)/4
Find v such that -3*v**4 + 99*v**3 + 102*v**2 = 0.
-1, 0, 34
Solve -4*c**5/3 + 8*c**4 - 4*c**3 - 104*c**2/3 + 32*c = 0.
-2, 0, 1, 3, 4
Find j, given that -6*j**3/5 - 44*j**2/5 - 14*j/5 = 0.
-7, -1/3, 0
Find q such that -15*q**3 + 640*q**2 - 1035*q + 410 = 0.
2/3, 1, 41
Find g such that 10*g**2 + 204*g + 80 = 0.
-20, -2/5
Factor -2*x**5 + 6*x**3 + 4*x**2.
-2*x**2*(x - 2)*(x + 1)**2
Factor -2*z**2/9 + 34*z + 308/9.
-2*(z - 154)*(z + 1)/9
Suppose 3*v**2/8 + 15*v/8 + 3/2 = 0. Calculate v.
-4, -1
Factor -4*j**4 + 348*j**3.
-4*j**3*(j - 87)
Factor -i**2/6 + 9*i/2 + 14/3.
-(i - 28)*(i + 1)/6
Let x**2/2 - 65*x/2 - 102 = 0. What is x?
-3, 68
Factor 2*y**3 - 8*y**2 - 82*y - 72.
2*(y - 9)*(y + 1)*(y + 4)
Factor -t**3 + 8*t**2 + 9*t.
-t*(t