**4/6 - s**3/3 - s**2/2 = 0. Calculate s.
-1, 0, 3
Factor q**5/4 - 21*q**4/4 + 69*q**3/2 - 56*q**2 - 96*q.
q*(q - 8)**2*(q - 6)*(q + 1)/4
What is x in x**2/3 - 26*x/3 - 407/3 = 0?
-11, 37
Factor 4*w**3 - 668*w**2 + 2620*w - 1956.
4*(w - 163)*(w - 3)*(w - 1)
What is u in 6*u**3 + 159*u**2 - 429*u + 174 = 0?
-29, 1/2, 2
Let 50*c**3 + 155*c**2 + 115*c + 10 = 0. What is c?
-2, -1, -1/10
Let -5*z**3 + 65*z**2 + 5*z - 65 = 0. Calculate z.
-1, 1, 13
Factor -2*l**2/5 - 24*l/5 - 22/5.
-2*(l + 1)*(l + 11)/5
Factor 3*f**3/4 + 45*f**2 - 1161*f/4 + 891/2.
3*(f - 3)**2*(f + 66)/4
Factor -z**4/3 - 152*z**3/3 - 2888*z**2 - 219488*z/3 - 2085136/3.
-(z + 38)**4/3
Factor 4*d**5 - 8*d**3 + 4*d.
4*d*(d - 1)**2*(d + 1)**2
Factor -s**2/4 - 3*s/2 - 2.
-(s + 2)*(s + 4)/4
Factor 87880*h**5 + 50700*h**4 + 9750*h**3 + 625*h**2.
5*h**2*(26*h + 5)**3
Solve -2048*i**4 - 155904*i**3 - 173664*i**2 - 64908*i - 8100 = 0.
-75, -3/8
Factor -q**2/5 - 14024*q/5 - 49168144/5.
-(q + 7012)**2/5
Let -2*j**3 - 84*j**2 + 110*j + 1032 = 0. What is j?
-43, -3, 4
Solve -4*r**3 + 52*r**2 + 1200*r = 0.
-12, 0, 25
Determine r so that 2*r**2/5 - 174*r/5 = 0.
0, 87
Suppose 2*h**2/5 + 172*h/5 + 3698/5 = 0. What is h?
-43
Suppose -56*x**2 - 1044*x - 648 = 0. Calculate x.
-18, -9/14
Find c such that -c**5/4 + c**4 + 3*c**3/2 - c**2 - 5*c/4 = 0.
-1, 0, 1, 5
Let f**2 - 16*f + 64 = 0. Calculate f.
8
Factor -2*p**4/3 - 112*p**3/3 - 640*p**2 - 13312*p/3 - 32768/3.
-2*(p + 8)**3*(p + 32)/3
Factor 2*b**3 - 6*b**2 - 12*b + 16.
2*(b - 4)*(b - 1)*(b + 2)
Factor -103*b**3/4 + 99*b**2/4 + b.
-b*(b - 1)*(103*b + 4)/4
Solve -j**5/4 - 3*j**4/4 + 13*j**3/2 + 9*j**2 - 22*j - 24 = 0 for j.
-6, -2, -1, 2, 4
Factor -w**3/5 + 94*w**2/5 + 389*w/5 + 294/5.
-(w - 98)*(w + 1)*(w + 3)/5
Solve 15*s**4 + 1221*s**3 - 3354*s**2 - 6576*s - 2016 = 0.
-84, -1, -2/5, 4
Determine l, given that -l**5/7 + 2*l**4 - 43*l**3/7 + 30*l**2/7 = 0.
0, 1, 3, 10
Factor -g**2 + 182*g - 537.
-(g - 179)*(g - 3)
Factor -2*z**2/15 - 3796*z/15.
-2*z*(z + 1898)/15
Find g, given that -2*g**3/3 + 2*g**2/3 + 22*g + 42 = 0.
-3, 7
Find x, given that 25*x**2 + 20*x - 5 = 0.
-1, 1/5
Find b, given that -4*b**3/3 + 1164*b**2 - 253460*b - 763876/3 = 0.
-1, 437
Factor -3*j**4/2 - 15*j**3/2 - 12*j**2 - 6*j.
-3*j*(j + 1)*(j + 2)**2/2
Factor c**4/4 + 2*c**3 - 33*c**2/4 + c + 11.
(c - 2)**2*(c + 1)*(c + 11)/4
Let 2*y**4/3 - 152*y**3/3 + 1100*y**2 - 15400*y/3 + 12250/3 = 0. Calculate y.
1, 5, 35
Factor w**2/3 - 247*w/3 - 248/3.
(w - 248)*(w + 1)/3
Suppose -2*o**3/9 - 24*o**2 - 648*o = 0. What is o?
-54, 0
Factor 5*w**4 - 20*w**3 - 15*w**2 + 70*w - 40.
5*(w - 4)*(w - 1)**2*(w + 2)
Determine g, given that -65*g**5/9 - 289*g**4/9 + 3166*g**3/9 - 4276*g**2/9 + 1624*g/9 - 160/9 = 0.
-10, 2/13, 2/5, 1, 4
Factor 4*k**3 + 3984*k**2 + 7956*k + 3976.
4*(k + 1)**2*(k + 994)
Suppose -2*z**4 + 80*z**3 + 84*z**2 - 80*z - 82 = 0. Calculate z.
-1, 1, 41
Find b such that 28*b**3 + 104*b**2 + 52*b - 24 = 0.
-3, -1, 2/7
Let -4*k**5 - 3266*k**4 - 1632*k**3 = 0. What is k?
-816, -1/2, 0
Solve 3*l**2 + 171*l - 540 = 0 for l.
-60, 3
What is a in a**2 - 138*a + 137 = 0?
1, 137
Factor -2*k**3/11 + 6*k**2/11 + 18*k/11 + 10/11.
-2*(k - 5)*(k + 1)**2/11
Factor -15*t**4 - 55*t**3 - 40*t**2 + 20*t.
-5*t*(t + 2)**2*(3*t - 1)
Solve -2*z**5 + 78*z**4 - 1044*z**3 + 5724*z**2 - 13770*z + 12150 = 0 for z.
3, 15
Suppose 2*r**3/9 + 16*r**2/3 + 130*r/9 + 28/3 = 0. Calculate r.
-21, -2, -1
Find u, given that u**3 + 8*u**2 + 17*u + 10 = 0.
-5, -2, -1
Factor -5*o**4/6 - 20*o**3 - 55*o**2 - 160*o/3 - 35/2.
-5*(o + 1)**3*(o + 21)/6
Determine p so that -10*p**2 - 64*p - 24 = 0.
-6, -2/5
Find o such that 56*o**5/9 + 278*o**4/9 - 14*o**3/9 - 20*o**2/9 = 0.
-5, -1/4, 0, 2/7
Solve 4*s**5/3 - 14*s**4 + 172*s**3/3 - 114*s**2 + 328*s/3 - 40 = 0 for s.
1, 2, 5/2, 3
Let q**5/3 + 5*q**4 + 67*q**3/3 + 43*q**2 + 112*q/3 + 12 = 0. Calculate q.
-9, -2, -1
Factor -o**2/3 + 5*o - 14/3.
-(o - 14)*(o - 1)/3
Suppose -4*c**2 - 112*c + 116 = 0. What is c?
-29, 1
Solve 4*j**2 + 756*j - 760 = 0 for j.
-190, 1
Determine y so that y**2/6 - 22*y/3 - 15/2 = 0.
-1, 45
Suppose 2*i**2/7 + 76*i/7 - 78/7 = 0. Calculate i.
-39, 1
Factor -4*s**2 - 4*s + 8.
-4*(s - 1)*(s + 2)
Suppose g**2/2 + 97*g/2 + 315 = 0. Calculate g.
-90, -7
Factor -3*i**2/8 - 6603*i/2 - 14533203/2.
-3*(i + 4402)**2/8
Let 12*j**2 + 16*j - 28 = 0. Calculate j.
-7/3, 1
Factor 5*p**2 + 590*p.
5*p*(p + 118)
Factor 3*t**2 - 4776*t + 1900848.
3*(t - 796)**2
Suppose -2*k**5/5 - 4*k**4/5 + 14*k**3/5 + 16*k**2/5 - 24*k/5 = 0. Calculate k.
-3, -2, 0, 1, 2
Let 2*a**3 + 18*a**2 + 48*a + 40 = 0. What is a?
-5, -2
Determine t so that -3*t**5/5 + 66*t**4/5 - 411*t**3/5 + 156*t**2 = 0.
0, 4, 5, 13
What is l in -5*l**5 + 5*l**4 + 100*l**3 + 80*l**2 - 320*l - 400 = 0?
-2, 2, 5
Determine f, given that -4*f**5 + 44*f**4 - 104*f**3 - 104*f**2 + 300*f + 252 = 0.
-1, 3, 7
Factor 2*c**2/9 - 16*c/3 + 88/9.
2*(c - 22)*(c - 2)/9
Factor -2*d**2/5 + 26*d/5 - 12.
-2*(d - 10)*(d - 3)/5
Factor -y**4/8 + 13*y**3/8 - 57*y**2/8 + 95*y/8 - 25/4.
-(y - 5)**2*(y - 2)*(y - 1)/8
Suppose -4*s**5 + 4*s**4 + 28*s**3 - 52*s**2 + 24*s = 0. Calculate s.
-3, 0, 1, 2
Let 324*v**3 + 792*v**2 + 304*v + 32 = 0. Calculate v.
-2, -2/9
Factor -2*x**3 - 78*x**2 - 76*x.
-2*x*(x + 1)*(x + 38)
Let -2*q**5/9 - 104*q**4/9 - 562*q**3/3 - 8360*q**2/9 - 6776*q/9 = 0. Calculate q.
-22, -7, -1, 0
Factor 2*u**4/9 + 4*u**3/9 - 2*u**2/9 - 4*u/9.
2*u*(u - 1)*(u + 1)*(u + 2)/9
Factor -5*o**2 + 110*o + 240.
-5*(o - 24)*(o + 2)
Suppose 2*u**3/3 - 3844*u**2/3 + 1843192*u/3 + 3701776/3 = 0. Calculate u.
-2, 962
Find l such that -3*l**5 + 27*l**4 - 24*l**3 = 0.
0, 1, 8
Suppose -3*w**3 - 24*w**2 + 3*w + 24 = 0. What is w?
-8, -1, 1
Factor -2*g**4 + 6*g**3 + 56*g**2 - 120*g.
-2*g*(g - 6)*(g - 2)*(g + 5)
Find l such that -l**3 + 164*l**2 + 165*l = 0.
-1, 0, 165
Find a, given that 3*a**3 - 51*a**2 + 198*a = 0.
0, 6, 11
Determine a so that a**4/4 + a**3/4 - a**2/4 - a/4 = 0.
-1, 0, 1
Factor -a**5 + 9*a**4 + a**3 - 9*a**2.
-a**2*(a - 9)*(a - 1)*(a + 1)
Factor -2*s**2/7 + 4*s/7 + 96/7.
-2*(s - 8)*(s + 6)/7
Solve 4*k**2/9 - 704*k/9 - 3620/9 = 0 for k.
-5, 181
Find c, given that c**3/2 - 289*c**2/2 + 10512*c - 10368 = 0.
1, 144
Factor -v**2/2 + 9*v + 319/2.
-(v - 29)*(v + 11)/2
Factor 3*d**5/4 - 63*d**4/4 + 207*d**3/2 - 447*d**2/2 + 783*d/4 - 243/4.
3*(d - 9)**2*(d - 1)**3/4
Factor -5*v**3 - 15775*v**2 - 12450415*v - 12434645.
-5*(v + 1)*(v + 1577)**2
Factor -3*k**2/5 + 3*k/5 + 36/5.
-3*(k - 4)*(k + 3)/5
Factor -a**4/4 - 19*a**3/4 - 4*a**2 + 9*a.
-a*(a - 1)*(a + 2)*(a + 18)/4
Determine g so that -g**4/2 - 17*g**3 - 123*g**2/2 - 45*g = 0.
-30, -3, -1, 0
Solve -5*t**2 + 865*t - 860 = 0.
1, 172
Factor 2*i**2/7 + 38*i/7 + 68/7.
2*(i + 2)*(i + 17)/7
Suppose 3*g**5/5 - 33*g**4/5 - 168*g**3/5 + 1308*g**2/5 + 1248*g + 960 = 0. Calculate g.
-4, -1, 10
Determine q, given that -q**5 - 186*q**4 - 8828*q**3 - 16184*q**2 + 35328*q + 67712 = 0.
-92, -2, 2
Find s, given that -s**4/10 + 22*s**3/5 + 9*s**2/2 = 0.
-1, 0, 45
Solve f**5/8 - 17*f**4/8 - 417*f**3/8 + 6821*f**2/8 + 1805*f/2 = 0 for f.
-20, -1, 0, 19
Factor 2*w**4 + 26*w**3 + 72*w**2.
2*w**2*(w + 4)*(w + 9)
Let 2*f**2 + 90*f + 88 = 0. Calculate f.
-44, -1
Factor -y**2/5 + 459*y/5.
-y*(y - 459)/5
Factor 6*j**2 - 6*j + 4/3.
2*(3*j - 2)*(3*j - 1)/3
Factor -4*r**2 + 828*r.
-4*r*(r - 207)
Factor m**3/2 - 2*m**2 - 40*m - 96.
(m - 12)*(m + 4)**2/2
Factor 3*f**4 - 798*f**3 + 70488*f**2 - 2043618*f - 2114907.
3*(f - 89)**3*(f + 1)
Let s**3 - 37*s**2/5 - 17*s + 117/5 = 0. What is s?
-13/5, 1, 9
Factor -h**2/5 + 478*h/5 + 1443/5.
-(h - 481)*(h + 3)/5
Suppose -4*j**3/3 + 53*j**2 + 68*j + 41/3 = 0. What is j?
-1, -1/4, 41
What is h in 20*h**3 - 64*h**2 + 48*h = 0?
0, 6/5, 2
Determine o so that -o**3 + o**2 + 2*o = 0.
-1, 0, 2
Factor -m**2/7 - 125*m/7 - 246/7.
-(m + 2)*(m + 123)/7
Factor -82*m**2 + 108*m.
-2*m*(41*m - 54)
Factor 5*c**4 - 120*c**3 + 425*c**2 - 510*c + 200.
5*(c - 20)*(c - 2)*(c - 1)**2
Suppose -u**5/2 + 7*u**4/2 + 11*u**3/2 - 23*u**2/2 - 5*u + 8 = 0. What is u?
-2, -1, 1, 8
Find n, given that 22*n**4/5 - 114*n**3/5 + 108*n**2/5 - 16*n/5 = 0.
0, 2/11, 1, 4
Factor 2*b**3/3 + b**2 - 2*b/3 - 1.
(b - 1)*(b + 1)*(2*b + 3)/3
What is n in -5*n**5 - 25*n**4 - 30*n**3 + 20*n**2 + 40*n = 0?
-2, 0, 1
Determine l so th