 - 4*b/5 = 0. Calculate b.
-2, 0
Factor -4*i**2 + 36*i - 72.
-4*(i - 6)*(i - 3)
Factor -3*x**3/4 + 99*x**2/4 - 69*x + 45.
-3*(x - 30)*(x - 2)*(x - 1)/4
Find y such that 3*y**5 - 1659*y**4 - 3342*y**3 + 6636*y**2 + 13320*y = 0.
-2, 0, 2, 555
Factor 6*d**4 + 21*d**3 - 84*d**2 + 36*d.
3*d*(d - 2)*(d + 6)*(2*d - 1)
Suppose -2*b**4/3 - 2*b**3 - 4*b**2/3 = 0. What is b?
-2, -1, 0
Factor -g**2/6 + 19*g/6 + 7.
-(g - 21)*(g + 2)/6
Factor -4*l**2/5 + 44*l/5.
-4*l*(l - 11)/5
Let -3*s**3 + 24*s**2 + 639*s + 1620 = 0. Calculate s.
-9, -3, 20
Factor 5*a**2 - 135*a + 250.
5*(a - 25)*(a - 2)
Let 81*m**4 - 1629*m**3 + 2874*m**2 + 3636*m + 648 = 0. What is m?
-2/3, -2/9, 3, 18
Factor 25*r**4/3 - 55*r**3/3 - 461*r**2/3 + 197*r - 60.
(r - 5)*(r + 4)*(5*r - 3)**2/3
Suppose -2*p**5/7 - 10*p**4/7 + 6*p**3/7 + 26*p**2/7 - 20*p/7 = 0. Calculate p.
-5, -2, 0, 1
Determine o so that -128*o**4/3 - 32*o**3/3 + 24*o**2 - 22*o/3 + 2/3 = 0.
-1, 1/4
Determine l, given that 5*l**5 + 15*l**4 - 80*l**3 + 60*l**2 = 0.
-6, 0, 1, 2
Find p, given that 4*p**4/3 - 250*p**3/9 + 526*p**2/3 - 1010*p/3 - 550/9 = 0.
-1/6, 5, 11
Factor -a**2 + 198*a.
-a*(a - 198)
Suppose -3*i**2 + 141*i - 138 = 0. What is i?
1, 46
Determine x, given that -2*x**3/7 + 6*x**2 + 272*x/7 - 312/7 = 0.
-6, 1, 26
Factor -3*d**2/2 - 45*d/2 - 21.
-3*(d + 1)*(d + 14)/2
Suppose d**3/4 + 11*d**2/4 - 3*d = 0. What is d?
-12, 0, 1
Factor 4*r**2 + 6948*r.
4*r*(r + 1737)
Solve 14*t**4 - 984*t**3 + 4032*t**2 - 4768*t + 1056 = 0.
2/7, 2, 66
Find z such that 2*z**5/5 + 12*z**4/5 + 28*z**3/5 + 32*z**2/5 + 18*z/5 + 4/5 = 0.
-2, -1
Factor -3*d**5 + 9*d**4 - 9*d**3 + 3*d**2.
-3*d**2*(d - 1)**3
What is a in -7*a**3 + 25*a**2 - 16*a - 12 = 0?
-3/7, 2
Factor -3*q**3/2 - 16*q**2 + 251*q/2 - 40.
-(q - 5)*(q + 16)*(3*q - 1)/2
Suppose r**3/2 + 587*r**2 + 7017*r/2 + 5256 = 0. Calculate r.
-1168, -3
Find h such that h**2/7 + 57*h/7 + 8 = 0.
-56, -1
Factor y**3 + 25*y**2 - 26*y.
y*(y - 1)*(y + 26)
Determine r so that r**3/6 - 17*r**2/6 + 55*r/6 - 13/2 = 0.
1, 3, 13
What is j in -4*j**3 - 76*j**2 - 200*j - 128 = 0?
-16, -2, -1
Factor -p**4/4 + 23*p**3/4 - 15*p**2 - p + 20.
-(p - 20)*(p - 2)**2*(p + 1)/4
Suppose -10*n**3 - 3954*n**2 - 7902*n/5 - 158 = 0. Calculate n.
-395, -1/5
Factor p**4/4 - 17*p**3/2 - 37*p**2 - 38*p.
p*(p - 38)*(p + 2)**2/4
Suppose 44*l**5 - 448*l**4 + 1692*l**3 - 2808*l**2 + 1728*l = 0. Calculate l.
0, 2, 24/11, 3
Factor -5*t**3 - 95*t**2 + 100*t.
-5*t*(t - 1)*(t + 20)
Factor -a**2/2 - 12*a - 64.
-(a + 8)*(a + 16)/2
Factor h**2/4 + 103*h/4 - 26.
(h - 1)*(h + 104)/4
Suppose 6*v**5 - 14*v**4 - 20*v**3 + 56*v**2 - 16*v = 0. Calculate v.
-2, 0, 1/3, 2
Factor -1083*c**4/5 + 741*c**3/5 + 63*c**2 + 27*c/5.
-3*c*(c - 1)*(19*c + 3)**2/5
Suppose i**5/5 - 22*i**4/5 + 24*i**3 + 22*i**2/5 - 121*i/5 = 0. What is i?
-1, 0, 1, 11
What is f in 3*f**2/2 + 5*f/4 - 1/4 = 0?
-1, 1/6
Determine i so that 20*i**3 + 755*i**2 - 970*i + 195 = 0.
-39, 1/4, 1
Solve -108*i**4/5 - 2988*i**3/5 - 16887*i**2/5 + 10458*i - 6615 = 0.
-15, 7/6
Factor 25*m**2/6 + 505*m/6 - 70.
5*(m + 21)*(5*m - 4)/6
Factor 4*y**2 - 16*y - 20.
4*(y - 5)*(y + 1)
Let 4*w**3 - 13*w**2 - 13*w + 4 = 0. Calculate w.
-1, 1/4, 4
Solve c**4 + 8*c**3 - 20*c**2 = 0 for c.
-10, 0, 2
Factor 5*h**2 + 700*h.
5*h*(h + 140)
Suppose -3*d**5 - 29*d**4 - 74*d**3 - 44*d**2 + 24*d = 0. What is d?
-6, -2, 0, 1/3
Factor 2*n**2/9 + 34*n/9 + 20/3.
2*(n + 2)*(n + 15)/9
Suppose 2*p**2/9 - 2104*p/9 + 553352/9 = 0. Calculate p.
526
Let -3*w**5/2 + 3*w**4/2 + 15*w**3/2 - 15*w**2/2 - 6*w + 6 = 0. Calculate w.
-2, -1, 1, 2
Factor -u**4 - 9*u**3 - 18*u**2.
-u**2*(u + 3)*(u + 6)
Let -2*a**5/11 - 16*a**4/11 + 4*a**3/11 + 248*a**2/11 + 430*a/11 + 200/11 = 0. Calculate a.
-5, -1, 4
Factor -v**4/2 - 11*v**3/2 - 15*v**2/2 + 27*v/2.
-v*(v - 1)*(v + 3)*(v + 9)/2
Find c such that -2*c**3/3 + 32*c**2 - 358*c/3 + 88 = 0.
1, 3, 44
What is y in 2*y**5/5 - 30*y**4 - 464*y**3/5 - 312*y**2/5 = 0?
-2, -1, 0, 78
Factor -2*o**3/13 + 116*o**2/13 + 750*o/13 + 1152/13.
-2*(o - 64)*(o + 3)**2/13
Let 3*d**5/4 - 9*d**4/4 - 45*d**3 - 75*d**2 = 0. Calculate d.
-5, -2, 0, 10
Let -2*w**2 + 40*w - 128 = 0. Calculate w.
4, 16
Factor 3*m**3/2 + 9*m**2 - 144*m + 336.
3*(m - 4)**2*(m + 14)/2
Let 6*j**2 - 897*j/2 + 333 = 0. What is j?
3/4, 74
What is a in -a**5/3 - 5*a**4 - 7*a**3 + 163*a**2/3 - 66*a + 24 = 0?
-12, -6, 1
Factor 4*j**2 - 232*j + 2068.
4*(j - 47)*(j - 11)
Factor 5*r**3 - 80*r**2 - 85*r.
5*r*(r - 17)*(r + 1)
Let -k**4/3 + 28*k**3/3 - 100*k**2/3 + 32*k = 0. Calculate k.
0, 2, 24
Determine k, given that 18*k**4 + 4*k**3 - 234*k**2 - 268*k - 48 = 0.
-3, -1, -2/9, 4
Factor -r**2/4 - 3407*r/2 - 11607649/4.
-(r + 3407)**2/4
Find y such that y**2/6 - 167*y + 83667/2 = 0.
501
Find u, given that 75*u**2 - 810*u + 2187 = 0.
27/5
Find t such that 4*t**4 + 40*t**3 - 12*t**2 - 128*t - 80 = 0.
-10, -1, 2
Determine a so that 80*a**5 + 2440*a**4 - 3955*a**3 - 3605*a**2 + 2390*a - 320 = 0.
-32, -1, 1/4, 2
Factor o**3/6 + 79*o**2 + 18403*o/2 - 114242/3.
(o - 4)*(o + 239)**2/6
Determine p so that 5*p**3 - 525*p**2 + 18375*p - 214375 = 0.
35
Factor -2*v**2/5 + 16*v/5 + 18/5.
-2*(v - 9)*(v + 1)/5
Let 3*l**3 + 922*l**2 - 2476*l + 1240 = 0. Calculate l.
-310, 2/3, 2
Solve -f**4/3 + 9*f**3 + 63*f**2 + 99*f = 0.
-3, 0, 33
Suppose -4*v**3 - 28*v**2 + 68*v - 36 = 0. What is v?
-9, 1
Determine j so that 2*j**5/11 - 4*j**4/11 - 2*j**3/11 + 4*j**2/11 = 0.
-1, 0, 1, 2
Factor 3*u**5/5 - 48*u**3/5 + 114*u**2/5 - 99*u/5 + 6.
3*(u - 2)*(u - 1)**3*(u + 5)/5
Factor n**4/5 + 166*n**3/5 + 6889*n**2/5.
n**2*(n + 83)**2/5
Factor q**4/8 + q**3/4.
q**3*(q + 2)/8
Factor 5*w**2 + 15*w - 140.
5*(w - 4)*(w + 7)
Factor 4*d**3/7 - 32*d**2/7 + 4*d.
4*d*(d - 7)*(d - 1)/7
Determine o so that 135*o**5 - 2964*o**4 + 22683*o**3 - 70266*o**2 + 74592*o + 3456 = 0.
-2/45, 3, 8
What is i in -i**5/7 + 31*i**4/7 + 134*i**3/7 + 206*i**2/7 + 139*i/7 + 5 = 0?
-1, 35
Find l such that 4*l**4 - 20*l**3 - 12*l**2 + 52*l + 40 = 0.
-1, 2, 5
Factor -4*a**2/3 + 35*a - 26/3.
-(a - 26)*(4*a - 1)/3
Find i, given that 405*i**5 + 29601*i**4 + 2589*i**3 - 2853*i**2 - 438*i = 0.
-73, -2/9, -1/5, 0, 1/3
Let -4*s**3 + 8*s**2 + 92*s - 240 = 0. What is s?
-5, 3, 4
Factor g**5/6 + 2*g**4/3 - g**3/6 - 2*g**2/3.
g**2*(g - 1)*(g + 1)*(g + 4)/6
Let -2*q**4 + 388*q**3 - 1146*q**2 - 8*q + 1528 = 0. Calculate q.
-1, 2, 191
Suppose -3*h**4/2 - 1839*h**3 - 1127307*h**2/2 = 0. Calculate h.
-613, 0
Factor 25*z**2/3 - 290*z/3 - 40.
5*(z - 12)*(5*z + 2)/3
Factor 2*h**3/15 - 8*h**2/15 - 32*h/15 + 128/15.
2*(h - 4)**2*(h + 4)/15
Solve -5*a**4 + 15*a**3 + 20*a**2 = 0 for a.
-1, 0, 4
Factor 4*j**2 - 2748*j.
4*j*(j - 687)
Factor -2*j**3 + 2*j**2 + 40*j.
-2*j*(j - 5)*(j + 4)
Factor -4*a**5 + 60*a**4 - 360*a**3 + 1080*a**2 - 1620*a + 972.
-4*(a - 3)**5
Suppose -2*a**3/15 - 106*a**2/15 - 58*a/5 + 102 = 0. What is a?
-51, -5, 3
Let 100*g**2 - 22240*g + 1236544 = 0. What is g?
556/5
Solve 108*y**5 - 336*y**4 + 172*y**3 + 200*y**2 - 112*y - 32 = 0 for y.
-2/3, -2/9, 1, 2
Let 5*t**2 + 3890*t - 11715 = 0. Calculate t.
-781, 3
Solve t**5 + t**4 - 3*t**3 - t**2 + 2*t = 0.
-2, -1, 0, 1
Find l, given that l**4 - 23*l**3 + 94*l**2 - 72*l = 0.
0, 1, 4, 18
Suppose -2*d**4/5 + 442*d**3/5 - 438*d**2/5 - 442*d/5 + 88 = 0. What is d?
-1, 1, 220
Factor 2*y**3/13 - 944*y**2/13 - 1894*y/13 - 948/13.
2*(y - 474)*(y + 1)**2/13
Determine c so that c**4/6 - 13*c**3/3 + 28*c**2 - 115*c/3 - 425/6 = 0.
-1, 5, 17
Determine t, given that -2*t**5/5 + 8*t**3/5 + 4*t**2/5 - 6*t/5 - 4/5 = 0.
-1, 1, 2
Factor p**3 - 5*p**2 - 17*p + 21.
(p - 7)*(p - 1)*(p + 3)
Factor -3*o**4/5 + 942*o**3/5 - 939*o**2/5.
-3*o**2*(o - 313)*(o - 1)/5
What is m in -2*m**2 + 94*m - 92 = 0?
1, 46
Factor -x**2/4 - 7*x + 32.
-(x - 4)*(x + 32)/4
Solve -c**3/2 + 18*c**2 - 69*c/2 + 17 = 0 for c.
1, 34
Factor 3*x**4 + 45*x**3 + 213*x**2 + 387*x + 216.
3*(x + 1)*(x + 3)**2*(x + 8)
Find i, given that -4*i**5 + 120*i**4 - 104*i**3 - 352*i**2 + 108*i + 232 = 0.
-1, 1, 2, 29
Factor -2*a**5 + 2108*a**4 - 4210*a**3 + 2104*a**2.
-2*a**2*(a - 1052)*(a - 1)**2
What is c in -c**4/2 + c**3 + 7*c**2/2 + 2*c = 0?
-1, 0, 4
Factor 2*o**3/7 - 66*o**2/7 + 342*o/7 + 3610/7.
2*(o - 19)**2*(o + 5)/7
Suppose -12*x**4 - 201*x**3 + 291*x**2 + 372*x - 108 = 0. Calculate x.
-18, -1, 1/4, 2
What is r in -3*r**5/4 + 11