etermine h, given that -2*h**2 + 52*h + 54 = 0.
-1, 27
Find a, given that 3*a**5 - 156*a**4 + 297*a**3 + 156*a**2 - 300*a = 0.
-1, 0, 1, 2, 50
Suppose -5*x**3 - 620*x**2 - 19220*x = 0. Calculate x.
-62, 0
Let -l**2/5 + 7*l/5 + 18/5 = 0. Calculate l.
-2, 9
Solve -4*o**2 - 14720*o - 13542400 = 0.
-1840
Let 4*h**5 + 52*h**4 + 168*h**3 + 232*h**2 + 148*h + 36 = 0. Calculate h.
-9, -1
Determine w so that 4*w**4 - 76*w**3 + 192*w**2 + 1168*w + 896 = 0.
-2, -1, 8, 14
Suppose 4*w**4 - 8*w**3 - 84*w**2 + 248*w - 160 = 0. Calculate w.
-5, 1, 2, 4
Let 3*n**4 - 15*n**3 - 411*n**2 - 1737*n - 2160 = 0. Calculate n.
-5, -3, 16
Determine c, given that -3*c**5/4 + 15*c**4/4 + 21*c**3/2 + 3*c**2/2 - 39*c/4 - 21/4 = 0.
-1, 1, 7
Factor -d**5/2 - 17*d**4 - 150*d**3 - 396*d**2.
-d**2*(d + 6)**2*(d + 22)/2
Solve 3*k**5 - 9*k**4 - 72*k**3 + 84*k**2 + 144*k = 0 for k.
-4, -1, 0, 2, 6
Factor 2*i**4/5 - 2*i**3/5 - 72*i**2/5 + 72*i/5.
2*i*(i - 6)*(i - 1)*(i + 6)/5
Factor 5*v**4/4 + 105*v**3/4 + 175*v**2/4 - 285*v/4.
5*v*(v - 1)*(v + 3)*(v + 19)/4
Factor n**3 + 184*n**2 - 559*n + 374.
(n - 2)*(n - 1)*(n + 187)
Factor -4*r**3 - 268*r**2 - 4704*r - 24768.
-4*(r + 12)**2*(r + 43)
Let -3*z**2 - 72*z - 384 = 0. What is z?
-16, -8
Find j such that 2*j**5/7 - 44*j**4/7 + 218*j**3/7 - 440*j**2/7 + 56*j - 128/7 = 0.
1, 2, 16
Factor n**4/3 - 37*n**3/3 + 71*n**2/3 - 35*n/3.
n*(n - 35)*(n - 1)**2/3
Solve 2*o**5/7 + 2*o**4/7 - 12*o**3/7 - 8*o**2/7 + 16*o/7 = 0 for o.
-2, 0, 1, 2
Find u, given that -12*u**4 + 57*u**3 + 27*u**2 - 57*u - 15 = 0.
-1, -1/4, 1, 5
Suppose 21*l**2 - 36*l - 12 = 0. Calculate l.
-2/7, 2
Suppose h**5 - 37*h**4 + 360*h**3 - 324*h**2 = 0. What is h?
0, 1, 18
Factor -5*y**3 - 130*y**2.
-5*y**2*(y + 26)
Let -v**5/2 + 36*v**4 - 1641*v**3/2 + 5981*v**2 - 6510*v - 44100 = 0. What is v?
-2, 7, 30
Solve -20*x**5 - 1752*x**4 - 57376*x**3 - 828608*x**2 - 4344384*x + 1874048 = 0 for x.
-22, 2/5
Find c, given that 2*c**3/15 - 38*c**2/5 - 304*c/5 + 1024/15 = 0.
-8, 1, 64
Factor 15*d**4 - 35*d**3 - 710*d**2 + 240*d.
5*d*(d - 8)*(d + 6)*(3*d - 1)
What is y in 2*y**4 - 4*y**3 - 82*y**2 + 84*y = 0?
-6, 0, 1, 7
Determine i so that i**4/4 - 3*i**3/2 + 2*i**2 = 0.
0, 2, 4
What is r in 405*r**3 + 270*r**2 - 125*r + 10 = 0?
-1, 1/9, 2/9
Factor l**4/6 + 5135*l**3/6 + 2930943*l**2/2 + 5026553557*l/6 + 5008988431/3.
(l + 2)*(l + 1711)**3/6
Determine g, given that -g**2/5 + g - 6/5 = 0.
2, 3
Factor 5*p**2 - 360*p - 365.
5*(p - 73)*(p + 1)
Factor -m**2/5 + 26*m/5 - 5.
-(m - 25)*(m - 1)/5
Factor -2*o**4 - 6*o**3 - 4*o**2.
-2*o**2*(o + 1)*(o + 2)
Let 260*b**2 + 508*b - 24 = 0. Calculate b.
-2, 3/65
Factor -3*z**3 - 1476*z**2 - 185895*z - 1062882.
-3*(z + 6)*(z + 243)**2
Suppose -2*s**2 + 16*s - 24 = 0. What is s?
2, 6
Suppose 5*g**4 - 20*g**3 - 15*g**2 + 70*g - 40 = 0. Calculate g.
-2, 1, 4
Factor j**3/4 + 11*j**2/4 - 185*j/4 + 525/4.
(j - 5)**2*(j + 21)/4
Determine f so that 2*f**3/9 - 4*f**2/3 + 2*f = 0.
0, 3
Factor 4*o**5 - 312*o**4 - 1288*o**3 - 1952*o**2 - 1308*o - 328.
4*(o - 82)*(o + 1)**4
Let 3*o**3 - 192*o**2 + 4071*o - 28566 = 0. Calculate o.
18, 23
Factor -c**3/6 + 43*c**2/6 - 161*c/2 + 147/2.
-(c - 21)**2*(c - 1)/6
Suppose 4*z**3/3 + 16*z**2 - 20*z - 104/3 = 0. Calculate z.
-13, -1, 2
Let -2*q**4/5 + 4*q**3/5 + 6*q**2/5 = 0. What is q?
-1, 0, 3
Factor 3*p**3/5 - 1812*p**2/5 - 7311*p/5 + 1824.
3*(p - 608)*(p - 1)*(p + 5)/5
Factor -u**4/6 - 43*u**3 - 16381*u**2/6 + 5590*u - 8450/3.
-(u - 1)**2*(u + 130)**2/6
Solve 7*p**4 - 124*p**3 + 69*p**2 + 268*p + 68 = 0.
-1, -2/7, 2, 17
Let 15*t**5/4 + 3*t**4/2 - 135*t**3/2 + 93*t**2 - 33*t/4 - 45/2 = 0. Calculate t.
-5, -2/5, 1, 3
Factor 4*f**4 - 76*f**3 + 192*f**2 + 16*f - 256.
4*(f - 16)*(f - 2)**2*(f + 1)
Factor -4*l**2 - 384*l.
-4*l*(l + 96)
What is q in -q**2/2 - 341*q/2 + 343 = 0?
-343, 2
Factor -2*s**3/13 + 748*s**2/13 - 69938*s/13.
-2*s*(s - 187)**2/13
Determine x, given that -10*x**4 - 5*x**3 + 45*x**2 + 20*x - 20 = 0.
-2, -1, 1/2, 2
Factor 2*b**2 + 2924*b + 1068722.
2*(b + 731)**2
Find b, given that 10*b**5 - 34*b**4 - 78*b**3 - 14*b**2 + 20*b = 0.
-1, 0, 2/5, 5
Factor o**4/4 - o**3/2 - 5*o**2/4 + 3*o/2.
o*(o - 3)*(o - 1)*(o + 2)/4
Factor -3*o**2/2 - 36*o - 69/2.
-3*(o + 1)*(o + 23)/2
Factor -2*p**3/7 + 102*p**2/7 - 880*p/7.
-2*p*(p - 40)*(p - 11)/7
Factor 2*n**2/5 + 332*n/5 + 656/5.
2*(n + 2)*(n + 164)/5
Factor c**2/7 - 3*c + 20/7.
(c - 20)*(c - 1)/7
Factor -2*w**3/7 - 6*w**2/7 + 200*w/7 - 192/7.
-2*(w - 8)*(w - 1)*(w + 12)/7
Determine r, given that 2*r**3/13 - 1812*r**2/13 + 547224*r/13 - 55087216/13 = 0.
302
Determine t, given that -59*t**3/2 + 237*t**2/2 - 120*t + 2 = 0.
1/59, 2
Factor -h**2/2 - 96*h - 4608.
-(h + 96)**2/2
Factor 2*l**2/15 + 44*l/15 + 242/15.
2*(l + 11)**2/15
Suppose -2*f**3/3 + 7*f**2/3 - f/3 - 10/3 = 0. Calculate f.
-1, 2, 5/2
Let 2*y**5/5 + 6*y**4/5 - 56*y**3/5 - 72*y**2/5 + 288*y/5 = 0. Calculate y.
-6, -3, 0, 2, 4
What is o in o**2 + 198*o = 0?
-198, 0
Factor s**5 + 15*s**4 - 18*s**3 - 32*s**2.
s**2*(s - 2)*(s + 1)*(s + 16)
Factor b**2/2 + 17*b + 33/2.
(b + 1)*(b + 33)/2
Factor 48*h**4/7 - 600*h**3/7 + 2019*h**2/7 - 900*h/7 + 108/7.
3*(h - 6)**2*(4*h - 1)**2/7
Factor -2*d**5/11 - 2*d**4/11 + 2*d**3/11 + 2*d**2/11.
-2*d**2*(d - 1)*(d + 1)**2/11
Factor 3*p**4 - 48*p**3 - 162*p**2 - 168*p - 57.
3*(p - 19)*(p + 1)**3
Factor -225*g**3 + 60135*g**2 - 16024*g + 1068.
-(g - 267)*(15*g - 2)**2
Factor -2*v**3/7 + 2*v**2/7 + 6*v - 90/7.
-2*(v - 3)**2*(v + 5)/7
Factor 4*t**4 - 20*t**3 - 48*t**2 + 144*t.
4*t*(t - 6)*(t - 2)*(t + 3)
Solve -2*g**5/3 - 12*g**4 + 8*g**3/3 + 716*g**2/3 - 2*g - 680/3 = 0 for g.
-17, -5, -1, 1, 4
Factor 2*x**2 - 2*x - 112.
2*(x - 8)*(x + 7)
Solve -3*j**2 - 582*j - 28227 = 0.
-97
Factor -3*f**3/7 - 3204*f**2 - 7984368*f - 6632348352.
-3*(f + 2492)**3/7
What is s in -2*s**3/11 - 16*s**2/11 + 8*s - 96/11 = 0?
-12, 2
Suppose 4*x**2 - 128*x - 272 = 0. Calculate x.
-2, 34
Let 2*y**2/19 - 5056*y/19 + 266 = 0. Calculate y.
1, 2527
Suppose 2*l**3/3 - 22*l**2/3 - 28*l/3 + 16 = 0. What is l?
-2, 1, 12
Factor -3*q**2/10 + q/2 + 14/5.
-(q - 4)*(3*q + 7)/10
Suppose -4*m**2/7 + 324*m/7 + 328/7 = 0. Calculate m.
-1, 82
Factor -5*t**4 - 65*t**3 - 150*t**2 + 20*t + 200.
-5*(t - 1)*(t + 2)**2*(t + 10)
Factor -r**2/3 - 13*r/3 + 30.
-(r - 5)*(r + 18)/3
Determine a, given that 2*a**2/15 + 22*a/15 + 4 = 0.
-6, -5
Solve 2*a**5/3 + 6*a**4 + 44*a**3/3 - 8*a**2 - 208*a/3 - 64 = 0 for a.
-4, -3, -2, 2
Suppose -3*f**5/7 - 423*f**4/7 + 1287*f**3/7 - 1293*f**2/7 + 432*f/7 = 0. What is f?
-144, 0, 1
Factor -2*j**2/5 - 26*j/5 + 36.
-2*(j - 5)*(j + 18)/5
Factor 4*u**2 - 48*u + 144.
4*(u - 6)**2
Suppose -j**3 + 98*j**2 + 515*j = 0. What is j?
-5, 0, 103
Let 2*p**2 - 1790*p + 1788 = 0. What is p?
1, 894
Find l such that 81*l**3/7 + 1962*l**2/7 + 417*l/7 - 360/7 = 0.
-24, -5/9, 1/3
Factor 2*n**2 - 16*n + 14.
2*(n - 7)*(n - 1)
Suppose -3*o**5/2 + 27*o**4 - 24*o**3 - 27*o**2 + 51*o/2 = 0. What is o?
-1, 0, 1, 17
Factor -4*v**3 - 132*v**2 - 1020*v + 1156.
-4*(v - 1)*(v + 17)**2
Factor -6*n**5/11 + 12*n**4/11 + 18*n**3/11 - 24*n**2/11 - 24*n/11.
-6*n*(n - 2)**2*(n + 1)**2/11
Find r such that -2*r**2/3 + 14*r + 92/3 = 0.
-2, 23
Find k such that -k**5 - 57*k**4 + 877*k**3 - 2279*k**2 + 2160*k - 700 = 0.
-70, 1, 10
Factor 3*h**3/2 - 96*h.
3*h*(h - 8)*(h + 8)/2
Let -38*g**5/3 - 80*g**4/3 + 106*g**3/3 + 164*g**2/3 - 136*g/3 - 16/3 = 0. Calculate g.
-2, -2/19, 1
Solve -a**3/2 - 17*a**2/2 + 62*a + 154 = 0.
-22, -2, 7
Factor 4*z**4 + 60*z**3 + 276*z**2 + 260*z - 600.
4*(z - 1)*(z + 5)**2*(z + 6)
Solve -4*v**3 + 540*v**2 - 24300*v + 364500 = 0.
45
Find u such that -4*u**4 + 400*u**3 + 2072*u**2 + 2928*u + 1260 = 0.
-3, -1, 105
What is c in -c**4/8 + 79*c**3 - 18723*c**2 + 1972156*c - 77900162 = 0?
158
Determine t, given that -4*t**4 - 1752*t**3/5 - 4436*t**2/5 - 1344*t/5 + 272 = 0.
-85, -2, -1, 2/5
What is w in 3*w**3/8 - 393*w**2/8 - 2439*w/8 - 3699/8 = 0?
-3, 137
Find l such that 20*l**4 - 217*l**3 - 33*l**2 = 0.
-3/20, 0, 11
Suppose -t**2 - 11*t/4 + 15/4 = 0. What is t?
-15/4, 1
Factor -2*y**3/11 - 618*y**2/11 - 53568*y/11 - 870912/11.
-2*(y + 21)*(y + 144)**2/11
Factor f**4/4 - f**3/2 - 2*f**2.
f**2*(f - 4)*(f + 2)/4
Factor -2*g**3/7 + 1788*g**2/7 - 399618*g/7.
-2*g*(g - 447)**2/7
Factor -4*d**3 - 24*d**2 - 12*d + 40.
-4*(d - 1)*(d +