*s**3 - 90*s**2 = 0. Calculate s.
-6, -3, 0
Let -42*c**3/5 - 298*c**2/5 + 308*c/5 + 32/5 = 0. Calculate c.
-8, -2/21, 1
Factor 2*b**2/11 + 12*b/11.
2*b*(b + 6)/11
Solve 3*i**5 + 75*i**4 + 597*i**3 + 1269*i**2 - 1944*i = 0 for i.
-9, -8, 0, 1
Factor 28*u**4/13 + 54*u**3/13 + 24*u**2/13 - 2*u/13.
2*u*(u + 1)**2*(14*u - 1)/13
Find g such that -g**3 - 26*g**2 + 59*g + 84 = 0.
-28, -1, 3
Factor -5*n**3 + 4395*n**2.
-5*n**2*(n - 879)
Factor 5*j**3 + 35*j**2 + 20*j - 60.
5*(j - 1)*(j + 2)*(j + 6)
Factor -5*x**3 - 40*x**2 - 25*x + 250.
-5*(x - 2)*(x + 5)**2
Factor 5*h**2 + 285*h.
5*h*(h + 57)
Find m such that -4*m**2 - 2072*m - 268324 = 0.
-259
Suppose -15*d**3 - 53*d**2/4 + d/4 + 1 = 0. What is d?
-4/5, -1/3, 1/4
Factor -3*q**2/2 - 201*q/2.
-3*q*(q + 67)/2
Factor 3*q**5 + 198*q**4 + 5139*q**3 + 65424*q**2 + 407808*q + 995328.
3*(q + 9)**2*(q + 16)**3
Factor h**5/3 - 35*h**4 + 865*h**3 + 8425*h**2/3 + 2880*h + 972.
(h - 54)**2*(h + 1)**3/3
Factor n**4 - 72*n**3 - 377*n**2 - 612*n - 308.
(n - 77)*(n + 1)*(n + 2)**2
What is w in w**4/6 - w**3/3 - 19*w**2/6 + 4*w/3 + 10 = 0?
-3, -2, 2, 5
Determine h so that -18*h**4 - 4*h**3 = 0.
-2/9, 0
Find g such that -3*g**4 - 33*g**3 + 39*g**2 + 33*g - 36 = 0.
-12, -1, 1
Suppose -244*q**4/9 + 602*q**3/9 - 34*q**2/3 - 248*q/9 - 8/9 = 0. Calculate q.
-1/2, -2/61, 1, 2
Determine v so that -2*v**3 + 2*v**2 + 4*v = 0.
-1, 0, 2
Factor 3*m**3 - 1446*m**2 - 5823*m - 4374.
3*(m - 486)*(m + 1)*(m + 3)
Factor 2*z**4/7 - 16*z**3/7 + 36*z**2/7 - 54/7.
2*(z - 3)**3*(z + 1)/7
Find t such that -4*t**4 + 6624*t**3 + 6632*t**2 - 6624*t - 6628 = 0.
-1, 1, 1657
Factor -5*s**2 - 20*s + 105.
-5*(s - 3)*(s + 7)
Factor 5*c**5 - 10*c**4 - 30*c**3 + 20*c**2 + 65*c + 30.
5*(c - 3)*(c - 2)*(c + 1)**3
Suppose 2*r**2 + 18*r + 40 = 0. What is r?
-5, -4
Factor -5*x**5/3 - 70*x**4/3 - 40*x**3.
-5*x**3*(x + 2)*(x + 12)/3
Find r such that -28*r**4 - 408*r**3 + 4688*r**2/7 + 480*r + 512/7 = 0.
-16, -2/7, 2
Suppose 2*j**3 + 486*j**2 + 39366*j + 1062882 = 0. Calculate j.
-81
What is t in -20*t**3 + 245*t**2 + 4155*t + 2970 = 0?
-9, -3/4, 22
Factor 2*i**5 + 8*i**4 - 24*i**3 + 4*i**2 + 22*i - 12.
2*(i - 1)**3*(i + 1)*(i + 6)
Factor s**3/5 + 6*s**2/5 + 11*s/5 + 6/5.
(s + 1)*(s + 2)*(s + 3)/5
Let f**4 + 527*f**3 + 68637*f**2 - 209615*f + 140450 = 0. Calculate f.
-265, 1, 2
What is m in -2*m**5/25 - 34*m**4/25 + 156*m**3/25 - 244*m**2/25 + 166*m/25 - 42/25 = 0?
-21, 1
Suppose a**3/5 + 92*a**2/5 + 747*a/5 = 0. What is a?
-83, -9, 0
Find x such that -x**2/6 + 1388*x - 2889816 = 0.
4164
Factor 3*b**2/4 + 33*b + 363.
3*(b + 22)**2/4
Factor -2*g**3/15 + 2*g**2/5.
-2*g**2*(g - 3)/15
What is w in 15*w**3 - 156*w**2 + 51*w + 90 = 0?
-3/5, 1, 10
Factor -4*g**4/7 - 6*g**3/7 + 54*g**2/7.
-2*g**2*(g - 3)*(2*g + 9)/7
Factor -c**4/8 - 15*c**3/4 - 193*c**2/8 + 60*c - 32.
-(c - 1)**2*(c + 16)**2/8
Determine q, given that -q**4/3 + q**3 + 2*q**2/3 - 4*q + 8/3 = 0.
-2, 1, 2
Factor -2*p**3/5 + 2*p**2/5 + 72*p/5 - 72/5.
-2*(p - 6)*(p - 1)*(p + 6)/5
Factor -3*k**4 + 231*k**3 + 234*k**2.
-3*k**2*(k - 78)*(k + 1)
Let -k**5/4 + 2*k**4 - 3*k**3/2 - 2*k**2 + 7*k/4 = 0. What is k?
-1, 0, 1, 7
What is t in 5*t**5 + 520*t**4 - 9280*t**3 + 38400*t**2 = 0?
-120, 0, 8
Suppose 3*o**4/5 + 48*o**3/5 + 237*o**2/5 + 252*o/5 - 108 = 0. Calculate o.
-6, -5, 1
Let -5*m**3 - 60*m**2 + 2295*m + 31790 = 0. What is m?
-17, 22
Factor 3*v**2/7 - 2868*v/7 - 5748/7.
3*(v - 958)*(v + 2)/7
Solve 298*a**4 + 1486*a**3 + 2066*a**2 + 866*a - 12 = 0 for a.
-3, -1, 2/149
Factor -4*o**2 - 32*o.
-4*o*(o + 8)
Solve -3*j**4 + 97*j**3 + 174*j**2 - 132*j - 136 = 0 for j.
-2, -2/3, 1, 34
Factor -4*r**2 + 1168*r.
-4*r*(r - 292)
Find z such that z**2/4 + 5*z/4 - 6 = 0.
-8, 3
Solve -9*q**5/2 - 61*q**4/2 - 121*q**3/2 - 51*q**2/2 + 9*q = 0 for q.
-3, -1, 0, 2/9
Suppose 2*z**5/19 - 12*z**4 + 6940*z**3/19 - 25304*z**2/19 + 30690*z/19 - 12100/19 = 0. Calculate z.
1, 2, 55
Factor 6*z**3 - 1029*z**2 - 1554*z - 519.
3*(z - 173)*(z + 1)*(2*z + 1)
Solve -6*n**4 + 9*n**3 + 42*n**2 - 27*n - 54 = 0 for n.
-2, -1, 3/2, 3
Determine o so that -2*o**2/7 - 4*o/7 = 0.
-2, 0
Factor 4*b**5 + 112*b**4 + 109*b**3 + 27*b**2.
b**2*(b + 27)*(2*b + 1)**2
Factor -4*m**2 + 36*m - 72.
-4*(m - 6)*(m - 3)
Solve -5*o**4 + 360*o**3 - 8720*o**2 + 80640*o - 250880 = 0.
8, 28
Factor 4*z**5 - 24*z**4 + 48*z**3 - 32*z**2.
4*z**2*(z - 2)**3
Solve -g**5/2 - 33*g**4/2 - 215*g**3/2 + 1005*g**2/2 + 108*g - 486 = 0 for g.
-18, -1, 1, 3
Determine x, given that 9*x**2/4 - 993*x/2 - 663/4 = 0.
-1/3, 221
Factor -4*c**5 + 20*c**4 - 24*c**3 - 8*c**2 + 28*c - 12.
-4*(c - 3)*(c - 1)**3*(c + 1)
Solve 10*y**5 - 15*y**4 - 15*y**3 + 10*y**2 = 0.
-1, 0, 1/2, 2
Factor 4*s**3/5 + 24*s**2/5 + 36*s/5.
4*s*(s + 3)**2/5
Determine w, given that 4*w**2 + 576*w + 1136 = 0.
-142, -2
Factor -5*l**3/6 - 35*l**2/6 - 40*l/3 - 10.
-5*(l + 2)**2*(l + 3)/6
Factor 4*c**4/3 - 460*c**3/3 + 5928*c**2 - 236816*c/3 + 219488/3.
4*(c - 38)**3*(c - 1)/3
Let 3*y**4 - 6*y**3 - 192*y**2 + 384*y = 0. Calculate y.
-8, 0, 2, 8
Solve 14*a**5 + 38*a**4 - 54*a**3 - 142*a**2 - 40*a + 24 = 0 for a.
-3, -1, 2/7, 2
Determine g so that 5*g**2 - 125*g + 120 = 0.
1, 24
Let n**3/7 - 1259*n**2/7 - 1262*n/7 + 360 = 0. What is n?
-2, 1, 1260
Determine c so that -c**5/3 + 10*c**4 - 75*c**3 - 180*c**2 + 2160*c + 5184 = 0.
-3, 12
Factor 2*v**2/7 + 796*v/7 + 3152/7.
2*(v + 4)*(v + 394)/7
Factor 2*g**3/9 + 62*g**2/9 + 118*g/9 + 58/9.
2*(g + 1)**2*(g + 29)/9
Determine l, given that l**3 - 19*l**2 + 34*l = 0.
0, 2, 17
Solve -4*b**4 + 19*b**3 - 21*b**2 - 16*b + 28 = 0 for b.
-1, 7/4, 2
Factor 2*t**2/5 - 74*t/5 + 28.
2*(t - 35)*(t - 2)/5
Factor -a**5 + 7*a**3 - 6*a**2.
-a**2*(a - 2)*(a - 1)*(a + 3)
Suppose -z**2/4 + 1/4 = 0. Calculate z.
-1, 1
Solve -5*z**2 + 100*z - 500 = 0 for z.
10
Factor 5*r**5/6 + 155*r**4/2 + 5265*r**3/2 + 76545*r**2/2 + 196830*r.
5*r*(r + 12)*(r + 27)**3/6
Factor 3*i**4/2 - 9*i**3/2 + 6*i.
3*i*(i - 2)**2*(i + 1)/2
Factor 3*o**3 + 111*o**2 - 354*o + 240.
3*(o - 2)*(o - 1)*(o + 40)
Determine o, given that -245*o**5 - 5845*o**4 - 10265*o**3 - 5655*o**2 - 990*o = 0.
-22, -1, -3/7, 0
Factor -3*r**4 + 21*r**3 + 24*r**2.
-3*r**2*(r - 8)*(r + 1)
Factor 2*t**4/15 - 4*t**3/3 + 62*t**2/15 - 4*t.
2*t*(t - 5)*(t - 3)*(t - 2)/15
Factor u**2/3 + 68*u - 1477/3.
(u - 7)*(u + 211)/3
Factor 4*c**3/9 + 16*c**2/9 + 16*c/9.
4*c*(c + 2)**2/9
Determine d so that -5*d**3 - 16080*d**2 - 17237760*d - 6159626240 = 0.
-1072
Factor v**4/2 - 25*v**3/2 + 84*v**2 - 72*v.
v*(v - 12)**2*(v - 1)/2
Find o, given that 5*o**3 + 1370*o**2 - 1375*o = 0.
-275, 0, 1
Factor f**2 - 665*f + 1326.
(f - 663)*(f - 2)
Find q, given that 125*q**5 + 1975*q**4 - 480*q**3 - 1300*q**2 - 320*q = 0.
-16, -2/5, 0, 1
Suppose -2*d**3 - 2*d**2 + 2*d + 2 = 0. What is d?
-1, 1
Factor -m**4 - 192*m**3 - 9022*m**2 + 18624*m - 9409.
-(m - 1)**2*(m + 97)**2
Factor -4*k**2 + 72*k - 128.
-4*(k - 16)*(k - 2)
Factor 5*z**2 + 20*z - 105.
5*(z - 3)*(z + 7)
What is k in 3*k**5/2 + 15*k**4/2 + 21*k**3/2 - 3*k**2/2 - 12*k - 6 = 0?
-2, -1, 1
Suppose -4*c**3 + 10*c**2 - 6*c = 0. Calculate c.
0, 1, 3/2
Solve 363*d**4 - 1584*d**3 - 1275*d**2 + 612*d - 60 = 0 for d.
-1, 2/11, 5
Factor 4*n**2 - 8*n - 192.
4*(n - 8)*(n + 6)
Factor -d**3/10 + 9*d**2/10 + 49*d/10 + 39/10.
-(d - 13)*(d + 1)*(d + 3)/10
Solve -2*k**3/7 - 24*k**2/7 + 8*k = 0 for k.
-14, 0, 2
Factor 5*s**4 + 20*s**3 - 25*s**2 - 180*s - 180.
5*(s - 3)*(s + 2)**2*(s + 3)
Determine i so that -3*i**2/7 + 27*i/7 + 108/7 = 0.
-3, 12
Let -9*v**2 + 282*v - 360 = 0. Calculate v.
4/3, 30
Factor -l**2 - 4503*l - 4502.
-(l + 1)*(l + 4502)
Find l such that -3*l**5 - 36*l**4 + 129*l**3 + 1410*l**2 - 4500*l + 3000 = 0.
-10, 1, 2, 5
Suppose -2*n**2/3 + 2*n/3 = 0. What is n?
0, 1
Factor 20*h**4 + 12*h**3 - 48*h**2 + 16*h.
4*h*(h - 1)*(h + 2)*(5*h - 2)
Find a such that 2*a**3/11 - 32*a**2/11 + 58*a/11 - 28/11 = 0.
1, 14
Factor -2*q**5/7 + 190*q**4/7 - 188*q**3/7.
-2*q**3*(q - 94)*(q - 1)/7
Let 32*y**5 + 592*y**4 + 3746*y**3 + 8676*y**2 + 3672*y + 432 = 0. Calculate y.
-6, -1/4
Suppose 165*h**3 - 37956*h**2 + 2183505*h - 79350 = 0. What is h?
2/55, 115
Factor -r**2 + 234*r - 233.
-(r - 233)*(r - 1)
Factor -5*w**3 + 5*w**2 + 45*w - 45.
-5*(w - 3)*(w - 1)*(w + 3)
Factor -n**4/8 - 21*n**3/4 - 117*n**2/8 + n/2 + 39/2.
-(n - 1)*(n + 2)**2*(n + 39)/8
