-(y + 4)*(y + 120)/4
Determine k, given that k**4/5 - 9*k**3/5 + 3*k**2 + 5*k = 0.
-1, 0, 5
Factor 4*g**4 - 1300*g**3 - 12*g**2 + 3908*g - 2600.
4*(g - 325)*(g - 1)**2*(g + 2)
Factor i**2/12 - 358*i/3 + 128164/3.
(i - 716)**2/12
Factor 4*t**2/5 + 468*t + 4664/5.
4*(t + 2)*(t + 583)/5
Factor -4*z**3 - 32*z**2 - 60*z.
-4*z*(z + 3)*(z + 5)
Factor -x**2/4 + 39*x/2.
-x*(x - 78)/4
Find z, given that -z**3/4 + 153*z**2/4 + 39*z - 77 = 0.
-2, 1, 154
Find u, given that -u**2/4 + 62*u = 0.
0, 248
Solve 9*a**3/2 + 1128*a**2 - 759*a/2 - 753 = 0 for a.
-251, -2/3, 1
Determine y, given that -2*y**2/15 + 44*y/5 = 0.
0, 66
Suppose -c**3/5 + 39*c**2/5 + c/5 - 39/5 = 0. What is c?
-1, 1, 39
Factor 4*j**2 + 25744*j + 41422096.
4*(j + 3218)**2
Factor 4*k**4 + 4*k**3 - 24*k**2 - 16*k + 32.
4*(k - 2)*(k - 1)*(k + 2)**2
Factor -2*b**2/15 + 60*b - 6750.
-2*(b - 225)**2/15
Determine z so that z**3 + 999*z**2 + 1995*z + 997 = 0.
-997, -1
Find z, given that 2*z**3 + 20*z**2 + 58*z + 40 = 0.
-5, -4, -1
Factor -5*z**4/2 + 545*z**3/2 + 555*z**2.
-5*z**2*(z - 111)*(z + 2)/2
Let -850*w**5/3 + 2480*w**4/3 - 2626*w**3/3 + 1228*w**2/3 - 248*w/3 + 16/3 = 0. What is w?
2/17, 2/5, 1
Factor -g**5 + 30*g**4 - 300*g**3 + 1000*g**2.
-g**2*(g - 10)**3
Factor 10*f**5 - 35*f**4 + 20*f**3 + 20*f**2.
5*f**2*(f - 2)**2*(2*f + 1)
Factor -4*a**2/7 + 4040*a/7 - 4036/7.
-4*(a - 1009)*(a - 1)/7
Let -4*f**2 - 28*f - 40 = 0. What is f?
-5, -2
Determine o, given that o**5/3 + 10*o**4/3 + 2*o**3 - 32*o**2/3 - 47*o/3 - 6 = 0.
-9, -1, 2
Factor 64*s**3/7 - 32*s**2/7 - 12*s/7.
4*s*(4*s - 3)*(4*s + 1)/7
Let -4*p**2 - 792*p + 796 = 0. What is p?
-199, 1
Factor -2*h**2/3 - 926*h/3 - 920.
-2*(h + 3)*(h + 460)/3
Factor -3*a**3/4 + 3*a**2/4 + 165*a - 624.
-3*(a - 13)*(a - 4)*(a + 16)/4
Determine f, given that f**3 + 2157*f**2 + 1162083*f - 1164241 = 0.
-1079, 1
Factor 5*a**4 - 25*a**3 + 15*a**2 + 25*a - 20.
5*(a - 4)*(a - 1)**2*(a + 1)
Solve -5*p**3 + 20*p = 0 for p.
-2, 0, 2
Factor -2*t**5/3 + 28*t**4/3 - 146*t**3/3 + 112*t**2 - 96*t.
-2*t*(t - 4)**2*(t - 3)**2/3
Factor -4*l**3 - 764*l**2 - 5920*l - 11712.
-4*(l + 4)**2*(l + 183)
Suppose -20*l**4/3 + 1046*l**3/15 - 986*l**2/5 + 226*l/3 + 10/3 = 0. Calculate l.
-1/25, 1/2, 5
Suppose 30*g**4/11 - 374*g**3 + 548*g**2/11 = 0. What is g?
0, 2/15, 137
Find p such that 3*p**5 - 27*p**4 - 33*p**3 + 27*p**2 + 30*p = 0.
-1, 0, 1, 10
Factor 2*c**2/5 + 5896*c/5 + 4345352/5.
2*(c + 1474)**2/5
Determine s, given that -4*s**2/5 + 7076*s/5 - 7072/5 = 0.
1, 1768
Find z such that z**4/3 + 2*z**3 - 5*z**2 + 8*z/3 = 0.
-8, 0, 1
Factor 2*j**3 - 52*j**2.
2*j**2*(j - 26)
Factor -20*d**2/3 + 14*d/3 + 34/3.
-2*(d + 1)*(10*d - 17)/3
Find c such that c**2/2 - 815*c - 1631/2 = 0.
-1, 1631
Let 6*k**5/11 - 52*k**4/11 - 156*k**3/11 + 8*k**2/11 + 150*k/11 + 4 = 0. What is k?
-2, -1, -1/3, 1, 11
Factor -2*l**2/11 - 92*l/11 - 16.
-2*(l + 2)*(l + 44)/11
Suppose -n**4 + 31*n**3 + n**2 - 31*n = 0. Calculate n.
-1, 0, 1, 31
Find d, given that 2*d**5 + 72*d**4 - 74*d**3 = 0.
-37, 0, 1
Find r, given that -r**2 - 10*r - 9 = 0.
-9, -1
Suppose a**5 - 3*a**4 - 5*a**3 + 15*a**2 + 4*a - 12 = 0. What is a?
-2, -1, 1, 2, 3
Factor -c**5/7 + 34*c**4/7 - 424*c**3/7 + 2320*c**2/7 - 5200*c/7 + 4000/7.
-(c - 10)**3*(c - 2)**2/7
Find y such that -3*y**5 + 24*y**4 - 72*y**3 + 96*y**2 - 48*y = 0.
0, 2
Let -2*z**4 + 18*z**3 - 54*z**2 + 54*z = 0. What is z?
0, 3
Let -14*w**5/3 - 32*w**4/3 + 160*w**3/3 - 148*w**2/3 + 14*w/3 + 20/3 = 0. What is w?
-5, -2/7, 1
Solve 2*b**5/5 - 88*b**4/5 + 314*b**3/5 + 276*b**2/5 - 288*b = 0.
-2, 0, 3, 40
Determine l so that -2*l**4 + 108*l**3 - 210*l**2 + 104*l = 0.
0, 1, 52
Factor 12*h**4 - 28*h**3 + 16*h.
4*h*(h - 2)*(h - 1)*(3*h + 2)
What is b in b**4 + 77*b**3 + 2088*b**2 + 22464*b + 69120 = 0?
-24, -5
Find p, given that -3*p**2 - 210*p - 3675 = 0.
-35
Factor -d**2/9 + 101*d/9 + 34/3.
-(d - 102)*(d + 1)/9
Factor 2*j**3/11 + 12*j**2/11 - 30*j/11 + 16/11.
2*(j - 1)**2*(j + 8)/11
Factor -2*t**4/5 + 6*t**3/5.
-2*t**3*(t - 3)/5
What is w in 3*w**3 - 12*w**2 - 3*w + 12 = 0?
-1, 1, 4
Let -5040*r**3 - 6168*r**2 - 2051*r - 98 = 0. Calculate r.
-7/12, -2/35
Factor 6*n**2/7 - 9258*n/7 - 9264/7.
6*(n - 1544)*(n + 1)/7
Factor -5*t**3/2 + 109*t**2/2 + 11*t.
-t*(t - 22)*(5*t + 1)/2
Factor w**4 + 29*w**3 + 195*w**2 - 225*w.
w*(w - 1)*(w + 15)**2
Determine a, given that -2*a**4/3 - 14*a**3/3 - 16*a**2/3 + 32*a/3 = 0.
-4, 0, 1
Factor -5*u**5 - 130*u**4 + 135*u**3.
-5*u**3*(u - 1)*(u + 27)
Factor -2*m**4 - 8*m**3 + 54*m**2 - 76*m + 32.
-2*(m - 2)*(m - 1)**2*(m + 8)
Factor 2*w**3 - 3818*w**2 + 1820230*w + 1824050.
2*(w - 955)**2*(w + 1)
Let -c**4 + 2*c**3/5 + c**2 - 2*c/5 = 0. What is c?
-1, 0, 2/5, 1
Factor 3*o**5 + 6*o**4 - 9*o**3 - 24*o**2 - 12*o.
3*o*(o - 2)*(o + 1)**2*(o + 2)
Factor 3*q**2 + 954*q.
3*q*(q + 318)
Suppose 4*j**5 - 80*j**4 + 548*j**3 - 1720*j**2 + 2544*j - 1440 = 0. What is j?
2, 3, 10
Factor 3*l**4 - 4*l**3 + l**2.
l**2*(l - 1)*(3*l - 1)
Factor 3*b**4/4 - 55*b**3/4 - 41*b**2 - 21*b.
b*(b - 21)*(b + 2)*(3*b + 2)/4
Factor -n**5 - 17*n**4 - 30*n**3 + 2*n**2 + 31*n + 15.
-(n - 1)*(n + 1)**3*(n + 15)
Factor -d**3/4 - d**2 - d.
-d*(d + 2)**2/4
Solve 2*n**5/7 - 10*n**4 + 646*n**3/7 - 578*n**2/7 = 0 for n.
0, 1, 17
Determine n so that n**2/3 - 631*n/3 + 1258/3 = 0.
2, 629
Suppose v**2/2 + 50*v + 1250 = 0. Calculate v.
-50
Determine y, given that 2*y**4 - 10*y**3 - 30*y**2 + 10*y + 28 = 0.
-2, -1, 1, 7
Factor -14*v**2/11 + 46*v/11 - 36/11.
-2*(v - 2)*(7*v - 9)/11
Determine j, given that -9*j**3 + 507*j**2 - 1146*j + 648 = 0.
1, 4/3, 54
Factor 2*b**2/9 + 52*b/9 + 70/3.
2*(b + 5)*(b + 21)/9
Factor -f**4/9 + 56*f**3/9 + 115*f**2/9 + 58*f/9.
-f*(f - 58)*(f + 1)**2/9
Find h, given that h**2/3 + 399*h - 1198/3 = 0.
-1198, 1
Solve h**4/2 - 21*h**3 + 41*h**2/2 = 0 for h.
0, 1, 41
Determine m so that m**4/4 - 18*m**3 + 102*m**2 - 200*m + 132 = 0.
2, 66
Factor 15*c**2/2 + 3*c.
3*c*(5*c + 2)/2
Solve -8*t**4 - 36*t**3 + 84*t**2 + 352*t - 192 = 0.
-4, 1/2, 3
What is f in -4*f**2 - 10920*f - 7452900 = 0?
-1365
Find f, given that -3*f**5/5 + 3*f**4 - 12*f**2 + 48*f/5 = 0.
-2, 0, 1, 2, 4
Factor -5*a**4 + 140*a**3 - 1265*a**2 + 3630*a.
-5*a*(a - 11)**2*(a - 6)
Find p such that 2*p**3 - 18*p**2 - 234*p + 810 = 0.
-9, 3, 15
Factor 14*d**2/5 + 268*d/5 + 38/5.
2*(d + 19)*(7*d + 1)/5
Determine j so that -6*j**2 - 29102*j + 19404 = 0.
-4851, 2/3
Find r, given that 64*r**3 - 7712*r**2 - 11676*r - 4392 = 0.
-3/4, 122
Solve 4*a**4 + 924*a**3 - 4688*a**2 + 7536*a - 3776 = 0.
-236, 1, 2
Determine d, given that d**5/2 + 4*d**4 + 21*d**3/2 + 9*d**2 = 0.
-3, -2, 0
Find m, given that -m**2/4 - 9*m/4 - 7/2 = 0.
-7, -2
Determine i so that 9*i**2/5 + 1077*i/5 + 714/5 = 0.
-119, -2/3
Factor -r**2/4 - 65*r/2 - 129/4.
-(r + 1)*(r + 129)/4
Factor -4*b**3 + 160*b**2.
-4*b**2*(b - 40)
Factor -l**2/3 + 170*l/3 - 432.
-(l - 162)*(l - 8)/3
Factor -23*h**3/5 - h**2/5.
-h**2*(23*h + 1)/5
Factor 3*m**3/7 + 81*m**2/7 + 312*m/7 - 396/7.
3*(m - 1)*(m + 6)*(m + 22)/7
Let -5*g**2 + 525*g - 520 = 0. Calculate g.
1, 104
Suppose -5*w**2 - 60*w + 225 = 0. Calculate w.
-15, 3
Factor s**3 - 47*s**2/3 + 29*s/3 + 5.
(s - 15)*(s - 1)*(3*s + 1)/3
Suppose 2*y**2 + 110*y - 228 = 0. What is y?
-57, 2
Find z, given that 4*z**5 + 12*z**4 - 4*z**3 - 12*z**2 = 0.
-3, -1, 0, 1
Factor 4*p**3 + 28*p**2 + 56*p + 32.
4*(p + 1)*(p + 2)*(p + 4)
Solve -w**5/6 + 9*w**4 - 415*w**3/3 + 1376*w**2/3 - 1075*w/2 + 625/3 = 0 for w.
1, 2, 25
Find j, given that j**5/2 - j**4 - 8*j**3 + j**2 + 15*j/2 = 0.
-3, -1, 0, 1, 5
Let 2*i**5/11 + 40*i**4/11 + 72*i**3/11 = 0. What is i?
-18, -2, 0
Find o, given that 20*o**3 - 848*o**2 + 336*o = 0.
0, 2/5, 42
Suppose -v**5/5 - 48*v**4/5 + 79*v**3/5 + 1546*v**2/5 + 756*v + 2744/5 = 0. What is v?
-49, -2, 7
Factor 6*t**3 - 334*t**2/7 + 278*t/7 + 2.
2*(t - 7)*(t - 1)*(21*t + 1)/7
Let -16*p**4 + 20*p**3 + 70*p**2 + 40*p + 6 = 0. What is p?
-1, -1/2, -1/4, 3
Factor w**4/4 - w**3/2 - 3*w**2/4 + w + 1.
(w - 2)**2*(w + 1)**2/4
Suppose v**4/4 + 5*v**3/4 - 4*v**2 - 17*v - 12 = 0. What is v?
-6, -2, -1, 4
Factor 2*d**4/3 - 19*d**3/6 + 23*d**2/6 - 5*d/6 - 1/2.
(d - 3)*(d - 1)**2*(4*d + 1)/6
What is z in z**2 - 190*z - 384 = 0?
-2, 192
Factor -c**3/3 + 4*c**2 - 7*c + 10/3.
-(c - 10)*(c - 1)**2/3
Factor 2*c**2 + 1590*c + 1588.
2*(c + 1)*(c + 794)
