at 5*z**2 + 369*z + 292 = 0.
-73, -4/5
Factor k**3 - 12*k**2 + 21*k - 10.
(k - 10)*(k - 1)**2
Factor 3*n**4 + 570*n**3 - 9*n**2 - 1716*n - 1140.
3*(n - 2)*(n + 1)**2*(n + 190)
Factor 2*v**4 - 14*v**3 + 32*v**2 - 24*v.
2*v*(v - 3)*(v - 2)**2
Factor 2*s**5/13 - 628*s**4/13 + 64880*s**3/13 - 2114912*s**2/13 - 9258464*s/13 - 9528128/13.
2*(s - 106)**3*(s + 2)**2/13
Solve -t**4/3 + 206*t**3/3 - 3467*t**2 - 21424*t/3 - 10816/3 = 0 for t.
-1, 104
Suppose 5*y**5 - 20*y**3 - 10*y**2 + 15*y + 10 = 0. What is y?
-1, 1, 2
Factor -l**4 - 223*l**3 - 220*l**2 + 444*l.
-l*(l - 1)*(l + 2)*(l + 222)
Factor 8*y**3/5 + 154*y**2/5 + 284*y/5 + 138/5.
2*(y + 1)**2*(4*y + 69)/5
Factor -f**3 - 8*f**2 + 20*f.
-f*(f - 2)*(f + 10)
Factor 25*l**2/6 - 80*l/3 + 10.
5*(l - 6)*(5*l - 2)/6
Suppose 2*f**3 - 20*f**2 - 256*f - 576 = 0. Calculate f.
-4, 18
Find t such that t**4 + 16*t**3 - 75*t**2 + 98*t - 40 = 0.
-20, 1, 2
Determine o so that -10*o**5/3 - 72*o**4 + 2506*o**3 + 92068*o**2/3 - 634752*o + 248832 = 0.
-27, 2/5, 16
Solve -4*r**2 - 284*r = 0 for r.
-71, 0
Factor -4*t**4 + 8*t**3 + 12*t**2.
-4*t**2*(t - 3)*(t + 1)
Determine r so that 2*r**4/11 - 24*r**3/11 + 40*r**2/11 = 0.
0, 2, 10
Factor c**4/2 - 94*c**3.
c**3*(c - 188)/2
Factor 3*l**4 - 24*l**3 - 129*l**2 - 174*l - 72.
3*(l - 12)*(l + 1)**2*(l + 2)
Find t, given that -90*t**4/11 - 18*t**3/11 + 244*t**2/11 - 152*t/11 + 16/11 = 0.
-2, 2/15, 2/3, 1
Factor 2*t**2/7 - 360*t/7 - 362/7.
2*(t - 181)*(t + 1)/7
What is u in 60*u**4 - 125*u**3 + 65*u**2 + 5*u - 5 = 0?
-1/4, 1/3, 1
Determine j, given that j**4/4 - 25*j**3 + 1679*j**2/2 - 10725*j + 184041/4 = 0.
11, 39
Factor -2*i**3/5 + 6*i**2.
-2*i**2*(i - 15)/5
Find l such that -5*l**5 - 595*l**4 + 1825*l**3 - 625*l**2 - 1820*l + 1220 = 0.
-122, -1, 1, 2
Determine t so that 3*t**4/2 + 6*t**3 + 9*t**2/2 - 6*t - 6 = 0.
-2, -1, 1
Factor y**5 - 3*y**4 - 2*y**3 + 12*y**2 - 8*y.
y*(y - 2)**2*(y - 1)*(y + 2)
Find o such that 4*o**3 - 524*o**2 = 0.
0, 131
Factor -4*q**5 - 28*q**4 - 24*q**3.
-4*q**3*(q + 1)*(q + 6)
Factor -3*q**2 + 324*q - 8748.
-3*(q - 54)**2
Find u such that -3*u**3 - 51*u**2 - 90*u = 0.
-15, -2, 0
Factor 5*t**5 - 5*t**4 - 50*t**3 - 40*t**2.
5*t**2*(t - 4)*(t + 1)*(t + 2)
Determine v, given that 3*v**4 - 14*v**3 + 37*v**2/3 + 40*v/3 - 16 = 0.
-1, 4/3, 3
Factor 5*b**5 + 20*b**4 + 20*b**3 - 10*b**2 - 25*b - 10.
5*(b - 1)*(b + 1)**3*(b + 2)
Find j such that -4*j**4 - 268*j**3 - 516*j**2 + 268*j + 520 = 0.
-65, -2, -1, 1
Factor b**3 - 8*b**2 + 17*b - 10.
(b - 5)*(b - 2)*(b - 1)
Solve u**2/5 - 181*u/5 + 36 = 0 for u.
1, 180
Solve 2*c**4/3 + 44*c**3/3 + 24*c**2 - 176*c/3 - 320/3 = 0 for c.
-20, -2, 2
Solve -t**3/4 + 9*t**2/2 + 25*t/4 - 57/2 = 0.
-3, 2, 19
What is z in z**5/2 + 5*z**4/2 - 12*z**3 = 0?
-8, 0, 3
Factor x**2/2 - 9*x/2 + 9.
(x - 6)*(x - 3)/2
Factor -5*l**2 + 385*l.
-5*l*(l - 77)
Factor 3*n**3 - 324*n**2 + 11664*n - 139968.
3*(n - 36)**3
Factor f**3 + 104*f**2 + 2805*f + 5202.
(f + 2)*(f + 51)**2
Factor p**3/3 - 19*p**2/3 + 64*p/3 - 20.
(p - 15)*(p - 2)**2/3
Determine w so that -2*w**2/9 - 2*w/3 = 0.
-3, 0
Determine c so that 3*c**4/2 - 25*c**3 - 832*c**2 - 4527*c - 2835/2 = 0.
-9, -1/3, 35
Factor 5*h**4 + 15*h**3 + 5*h**2 - 15*h - 10.
5*(h - 1)*(h + 1)**2*(h + 2)
Solve 4*z**3 - 536*z**2 - 4480*z - 9088 = 0.
-4, 142
Find c, given that 2*c**5/9 + 2*c**4/3 - 214*c**3/9 - 146*c**2/3 - 220*c/9 = 0.
-11, -1, 0, 10
Suppose 14*z**5/5 - 3194*z**4/15 + 4016*z**3/5 + 13784*z**2/15 + 192*z = 0. Calculate z.
-2/3, -2/7, 0, 5, 72
Let 11*r**5/2 - 87*r**4 + 501*r**3 - 1226*r**2 + 1995*r/2 + 225 = 0. Calculate r.
-2/11, 3, 5
Solve 5*r**5 + 5*r**4 - 5*r**3 - 5*r**2 = 0 for r.
-1, 0, 1
Determine d so that 4*d**2/3 + 20*d - 64/3 = 0.
-16, 1
Suppose -5*f**5 - 5*f**4 + 145*f**3 + 225*f**2 - 1080*f - 2160 = 0. Calculate f.
-3, 4
Factor 3*o**2 - 12*o - 15.
3*(o - 5)*(o + 1)
Determine p so that 3*p**3/7 + 24*p**2/7 - 57*p/7 + 30/7 = 0.
-10, 1
Solve 4509*x**3/5 + 12018*x**2/5 + 5996*x/5 - 8/5 = 0.
-2, -2/3, 2/1503
Determine v so that -v**3 + 4*v**2 - 4*v = 0.
0, 2
Solve 4*y**3 - 28*y**2 - 16*y + 112 = 0.
-2, 2, 7
Solve 7*a**3 + 381*a**2 + 5265*a + 2187 = 0.
-27, -3/7
Solve 98*j**3/11 - 1134*j**2/11 + 624*j/11 - 8 = 0.
2/7, 11
Factor -3*j**3/2 - 93*j**2/2 - 336*j + 384.
-3*(j - 1)*(j + 16)**2/2
Find d such that d**2/9 + 35*d/9 + 32/3 = 0.
-32, -3
Suppose 80*z**4 + 15*z**3 - 240*z**2 + 115*z + 30 = 0. What is z?
-2, -3/16, 1
Let 2*r**5/5 + 16*r**4/5 - 32*r**3/5 - 256*r**2/5 = 0. What is r?
-8, -4, 0, 4
Determine y so that 3*y**3 - 81*y**2 + 78*y = 0.
0, 1, 26
Suppose 4*z**4/3 - 88*z**3/3 = 0. What is z?
0, 22
Determine h, given that -h**4/3 + 113*h**3/3 - 221*h**2/3 - 113*h/3 + 74 = 0.
-1, 1, 2, 111
Factor 45*p**3 - 1995*p**2 + 29000*p - 137500.
5*(p - 11)*(3*p - 50)**2
Factor -7*d**2 - 1675*d - 478.
-(d + 239)*(7*d + 2)
Find f such that f**4/6 - 7*f**3/6 - 8*f**2/3 + 26*f/3 + 16 = 0.
-2, 3, 8
Let -p**3 + 6*p**2 - 12*p + 8 = 0. What is p?
2
Let 5*g**2 - 180*g + 1300 = 0. Calculate g.
10, 26
Factor 2*y**2/13 + 456*y/13 + 904/13.
2*(y + 2)*(y + 226)/13
What is j in -27*j**4/2 + 450*j**3 + 609*j**2/2 + 51*j = 0?
-1/3, 0, 34
Solve -a**4/7 + 6*a**3/7 - 12*a**2/7 + 8*a/7 = 0 for a.
0, 2
What is c in 2*c**3/9 - 88*c**2/9 + 320*c/9 = 0?
0, 4, 40
Factor 2*b**2/3 - 14*b/3 + 4.
2*(b - 6)*(b - 1)/3
Determine v so that -3*v**3 - 6*v**2 - 3*v = 0.
-1, 0
Factor -2*h**2 + 6*h - 4.
-2*(h - 2)*(h - 1)
Let -35*m**3 - 675*m**2 + 510*m + 200 = 0. Calculate m.
-20, -2/7, 1
Factor -g**2/3 - 5*g/3 - 4/3.
-(g + 1)*(g + 4)/3
Solve 5*m**3/3 + 845*m**2 + 142805*m + 24134045/3 = 0.
-169
Factor n**3/7 - 38*n**2/7 + 73*n/7 - 36/7.
(n - 36)*(n - 1)**2/7
Factor -2*b**3 - 226*b**2 - 4812*b + 5040.
-2*(b - 1)*(b + 30)*(b + 84)
Let 3*u**2 + 108*u + 972 = 0. What is u?
-18
Find a, given that -3*a**4/5 + 18*a**3/5 - 33*a**2/5 + 18*a/5 = 0.
0, 1, 2, 3
Solve s**4 - 29*s**3 + 39*s**2 + 405*s = 0.
-3, 0, 5, 27
What is w in -w**4/2 - 193*w**3/2 + w**2/2 + 193*w/2 = 0?
-193, -1, 0, 1
Solve -q**5/3 + 9*q**4 + 63*q**3 - 2205*q**2 = 0.
-15, 0, 21
Factor 4*a**5 + 100*a**4 + 460*a**3 - 2020*a**2 + 2240*a - 784.
4*(a - 1)**3*(a + 14)**2
Factor h**3 - 225*h**2 + 12075*h + 66125.
(h - 115)**2*(h + 5)
Find n, given that -4*n**4/3 + 220*n**3/9 + 44*n**2 + 28*n/3 - 80/9 = 0.
-1, 1/3, 20
Solve 3*p**5/2 - 12*p**3 - 9*p**2 + 21*p/2 + 9 = 0 for p.
-2, -1, 1, 3
Solve -z**2 - 96*z - 188 = 0.
-94, -2
Suppose -f**3/7 + 27*f**2/7 + 121*f/7 + 93/7 = 0. Calculate f.
-3, -1, 31
Factor -x**3/2 + x**2/2 + 11*x - 20.
-(x - 4)*(x - 2)*(x + 5)/2
Let -4*n**2 + 500*n - 984 = 0. What is n?
2, 123
Factor -b**5/3 - 2*b**4/3 + 2*b**2/3 + b/3.
-b*(b - 1)*(b + 1)**3/3
Suppose -3*u**4 - 957*u**3 + 1926*u**2 = 0. What is u?
-321, 0, 2
Determine c, given that -2*c**3/3 - 3740*c**2/3 - 1759616*c/3 - 3474496 = 0.
-932, -6
Suppose w**4/5 - 3*w**3 + 53*w**2/5 - 21*w/5 - 18 = 0. What is w?
-1, 3, 10
Suppose -5*j**2 - 35*j + 390 = 0. What is j?
-13, 6
Factor -x**4/2 + 21*x**3/2 + 12*x**2 - 22*x.
-x*(x - 22)*(x - 1)*(x + 2)/2
Let -5*o**2 + 40*o - 60 = 0. Calculate o.
2, 6
Factor 2*n**5 + 4*n**4 - 12*n**3 - 40*n**2 - 38*n - 12.
2*(n - 3)*(n + 1)**3*(n + 2)
Factor 2*z**2/5 - 22*z/5.
2*z*(z - 11)/5
Solve -2*k**5/19 - 10*k**4/19 - 6*k**3/19 + 34*k**2/19 + 56*k/19 + 24/19 = 0.
-3, -2, -1, 2
Factor -2*x**2/9 - 262*x - 2356/9.
-2*(x + 1)*(x + 1178)/9
Find i such that 4*i**2/5 - 112*i/5 + 60 = 0.
3, 25
Factor 5*n**3 - 955*n**2 + 46075*n - 45125.
5*(n - 95)**2*(n - 1)
Factor -5*d**3 + 35*d**2 + 105*d - 135.
-5*(d - 9)*(d - 1)*(d + 3)
Suppose 4*r**2 + 452*r - 920 = 0. What is r?
-115, 2
Factor u**3/2 - 6*u**2 + 10*u.
u*(u - 10)*(u - 2)/2
Suppose b**2/3 + 515*b/3 = 0. What is b?
-515, 0
Suppose w**2/2 + 5*w - 11/2 = 0. What is w?
-11, 1
What is d in 2*d**3/13 + 16662*d**2/13 + 46270374*d/13 + 42830942866/13 = 0?
-2777
Suppose -20*d**4 + 335*d**3 - 235*d**2 - 80*d = 0. What is d?
-1/4, 0, 1, 16
Solve -r**5 - 14*r**4 + 70*r**3 - 40*r**2 - 69*r + 54 = 0.
-18, -1, 1, 3
Let 2*z**4/5 + 28*z**3/5 + 114*z**2/5 + 152*z/5 + 64/5 = 0. Calculate z.
-8, -4, -1
Factor 2*s**2/9 + 1918*s/9.
2*s*(s + 959)/9
Solve 948*k**2 + 692*k + 40 = 0.
-2/3, -5/79
Solve -4*m**5 + 4*m**4 + 12*m**3 - 4*m**2 - 8*m = 0.
-1, 0, 1, 2
Determine c, given that c**5 - 5*c**4 + 7*c**3 + c**2 - 8*c + 4 = 0.
-1, 1, 2
Factor 