 2*k**4 - 54*k**3 + 162*k**2 - 108*k.
2*k*(k - 3)**2*(k - 1)*(k + 6)
Find n such that 10*n**5/9 - 104*n**4/9 + 40*n**3 - 508*n**2/9 + 302*n/9 - 20/3 = 0.
2/5, 1, 3, 5
Factor -4*l**4 + 700*l**3 + 4*l**2 - 700*l.
-4*l*(l - 175)*(l - 1)*(l + 1)
Let -t**3/6 - 3*t**2/2 + 49*t/6 - 13/2 = 0. What is t?
-13, 1, 3
Let 75*c**5 + 1065*c**4 + 1062*c**3 - 1380*c**2 + 312*c = 0. What is c?
-13, -2, 0, 2/5
Suppose -2*v**3 - 74*v**2 - 846*v - 3078 = 0. What is v?
-19, -9
Factor 4*s**4/3 + 8*s**3 - 172*s**2/3 - 400*s - 336.
4*(s - 7)*(s + 1)*(s + 6)**2/3
Determine o so that 2*o**4/7 - 240*o**3/7 + 10800*o**2/7 - 216000*o/7 + 1620000/7 = 0.
30
Factor 147*f**4 + 210*f**3 - 9*f**2 - 60*f + 12.
3*(f + 1)**2*(7*f - 2)**2
Factor -44*m**3 + 84*m**2 - 36*m - 4.
-4*(m - 1)**2*(11*m + 1)
Determine o so that -3*o**3/5 - 48*o**2 + 996*o/5 - 1008/5 = 0.
-84, 2
Solve -w**3/6 + 11*w**2/2 - 85*w/2 - 289/6 = 0 for w.
-1, 17
Factor -p**4 + 11*p**2 - 18*p + 8.
-(p - 2)*(p - 1)**2*(p + 4)
Solve 5*u**5 - 80*u**4 + 260*u**3 + 1040*u**2 - 5120*u + 5120 = 0.
-4, 2, 8
Factor 4*n**2 - 42*n - 46.
2*(n + 1)*(2*n - 23)
Determine h, given that -4*h**2 - 428*h = 0.
-107, 0
Solve s**2 + 111*s - 460 = 0.
-115, 4
Factor -2*z**4/9 - 2*z**3/3.
-2*z**3*(z + 3)/9
Suppose -2*g**3 + 138*g**2 + 140*g = 0. What is g?
-1, 0, 70
Determine o so that -5*o**4 + 100*o**3 + 485*o**2 - 100*o - 480 = 0.
-4, -1, 1, 24
Solve 385*t**2 + 250*t + 40 = 0 for t.
-4/11, -2/7
Determine n so that 2*n**2/15 - 26*n/5 + 76/15 = 0.
1, 38
Suppose -g**3 - 47*g**2 = 0. Calculate g.
-47, 0
Factor -4*c**2/9 - 232*c/3.
-4*c*(c + 174)/9
What is t in -2*t**2 + 410*t - 812 = 0?
2, 203
Let 9*l**5 - 35*l**4/4 - 109*l**3/4 + 177*l**2/4 - 67*l/4 - 1/2 = 0. What is l?
-2, -1/36, 1
Find c, given that c**5/3 - c**4/3 - 5*c**3/3 - c**2 = 0.
-1, 0, 3
Solve u**5/9 + u**4 + 29*u**3/9 + 43*u**2/9 + 10*u/3 + 8/9 = 0 for u.
-4, -2, -1
Suppose k**4 - 1763*k**3 + 1035468*k**2 - 202260240*k - 203297472 = 0. What is k?
-1, 588
Determine p so that -2*p**4 + 246*p**3 - 9644*p**2 + 119400*p - 110000 = 0.
1, 22, 50
Suppose -5*w**2 + 45*w - 90 = 0. Calculate w.
3, 6
Factor 3*x**3 - 1209*x**2 + 2409*x - 1203.
3*(x - 401)*(x - 1)**2
Determine m, given that 2*m**4/11 - 40*m**3/11 + 96*m**2/11 + 1152*m/11 = 0.
-4, 0, 12
Factor 12*r**4 - 304*r**3 - 212*r**2 + 104*r.
4*r*(r - 26)*(r + 1)*(3*r - 1)
Factor -f**3 - 14*f**2 - 40*f.
-f*(f + 4)*(f + 10)
Factor -3*a**2 + 180*a - 2700.
-3*(a - 30)**2
What is j in -j**4/3 - 6*j**3 - 37*j**2/3 + 132*j - 484/3 = 0?
-11, 2
Find m such that m**3/9 - m**2/9 - 2*m/9 = 0.
-1, 0, 2
Determine u, given that 3*u**4 + 489*u**3 + 1449*u**2 + 1443*u + 480 = 0.
-160, -1
Factor -5*w**4/3 - 260*w**3/3 - 1530*w**2 - 28900*w/3 - 24565/3.
-5*(w + 1)*(w + 17)**3/3
Let -4*z**4/9 - 4*z**3/3 + 20*z**2/3 - 68*z/9 + 8/3 = 0. What is z?
-6, 1
Find n such that 2*n**3/15 + 2*n**2 - 174*n/5 - 110/3 = 0.
-25, -1, 11
Factor 2*v**4 - 4*v**2 + 2.
2*(v - 1)**2*(v + 1)**2
Factor -3*f**2/7 - 4386*f/7.
-3*f*(f + 1462)/7
Solve f**4/4 + 3*f**3/4 - 2*f**2 - 3*f + 4 = 0 for f.
-4, -2, 1, 2
Factor 68*q**4 + 684*q**3 + 1128*q**2 + 64*q.
4*q*(q + 2)*(q + 8)*(17*q + 1)
Let -4*q**3/5 + 84*q**2/5 - 284*q/5 + 204/5 = 0. Calculate q.
1, 3, 17
Solve 2*r**5/7 - 6*r**4/7 + 2*r**3/7 + 6*r**2/7 - 4*r/7 = 0 for r.
-1, 0, 1, 2
Solve 6*v**3/5 + 4*v**2 + 2*v/5 - 12/5 = 0 for v.
-3, -1, 2/3
Determine q so that -2*q**2 - 10*q + 72 = 0.
-9, 4
Solve -2*y**4 + 4*y**3 + 22*y**2 - 24*y = 0 for y.
-3, 0, 1, 4
Solve 2*b**2 + 42*b + 40 = 0 for b.
-20, -1
Suppose -10*y**4/9 - 2*y**3/3 + 4*y**2/9 = 0. Calculate y.
-1, 0, 2/5
Factor 4*c**4 - 36*c**3 + 24*c**2 + 224*c.
4*c*(c - 7)*(c - 4)*(c + 2)
Determine g, given that -2*g**2/5 - 156*g/5 = 0.
-78, 0
Let 3*k**5/7 - 22*k**4/7 - 149*k**3/7 - 32*k**2 - 52*k/7 + 48/7 = 0. Calculate k.
-2, -1, 1/3, 12
What is q in q**2/12 + 13*q/6 - 29/4 = 0?
-29, 3
What is y in 4*y**3/7 - 404*y**2/7 - 16000*y/7 - 19456 = 0?
-16, 133
Factor -t**4/2 - 5*t**3/2 + 13*t**2 + 60*t.
-t*(t - 5)*(t + 4)*(t + 6)/2
Solve -2*t**4/15 + 16*t**3/5 - 38*t**2/3 = 0 for t.
0, 5, 19
Factor 2*h**4/11 - 266*h**3/11 - 540*h**2/11.
2*h**2*(h - 135)*(h + 2)/11
Determine v so that 20*v**4 + 392*v**3 - 180*v**2 - 392*v + 160 = 0.
-20, -1, 2/5, 1
Factor 125*t**4 + 175*t**3 - 695*t**2 - 295*t - 30.
5*(t - 2)*(t + 3)*(5*t + 1)**2
Factor -366*t**2 + 731*t + 2.
-(t - 2)*(366*t + 1)
Solve -4*l**4 - 872*l**3 - 46644*l**2 + 95920*l - 48400 = 0.
-110, 1
Factor -4*u**3/5 + 4*u**2 + 52*u/5 + 28/5.
-4*(u - 7)*(u + 1)**2/5
Factor -4*r**4 - 28*r**3 - 24*r**2.
-4*r**2*(r + 1)*(r + 6)
Factor 2*z**5 - 4*z**4 - 8*z**3 + 16*z**2.
2*z**2*(z - 2)**2*(z + 2)
Find y such that 2*y**5/9 + 4*y**4/9 - 22*y**3/9 - 8*y**2/3 + 8*y = 0.
-3, 0, 2
Suppose -17*y**4/4 - 69*y**3/2 - 55*y**2 - 6*y = 0. What is y?
-6, -2, -2/17, 0
Determine y so that -3*y**3 - 12*y**2 - 9*y = 0.
-3, -1, 0
Let 5*t**2 + 290*t + 1080 = 0. What is t?
-54, -4
Factor w**4 - w**3 - w**2 + w.
w*(w - 1)**2*(w + 1)
Factor -3*p**3/7 - 18*p**2/7 - 24*p/7.
-3*p*(p + 2)*(p + 4)/7
Let 2*x**5/3 + 31*x**4/3 - 34*x**3 - 217*x**2/3 - 14*x/3 + 24 = 0. Calculate x.
-18, -1, 1/2, 4
Find j such that 5*j**2 + 550*j = 0.
-110, 0
Find g such that -5*g**4 + 70*g**3 - 125*g**2 + 60*g = 0.
0, 1, 12
Let -12*u**4/7 + 164*u**3/7 + 88*u**2/7 - 464*u/7 + 32 = 0. Calculate u.
-2, 2/3, 1, 14
Determine z, given that 3*z**3/5 - 72*z**2/5 - 513*z/5 - 162 = 0.
-3, 30
Factor -2*l**2/11 - 14*l/11 + 36/11.
-2*(l - 2)*(l + 9)/11
Solve -2*z**4/11 - 94*z**3/11 - 270*z**2/11 - 266*z/11 - 8 = 0 for z.
-44, -1
Factor 4*w**3/3 + 196*w**2/3.
4*w**2*(w + 49)/3
Determine c, given that 2*c**3/9 - 490*c**2/9 - 2*c/9 + 490/9 = 0.
-1, 1, 245
Suppose -3*a**3 - 117*a**2 + 243*a - 123 = 0. Calculate a.
-41, 1
Let v**5/6 + 2*v**4 + 25*v**3/3 + 14*v**2 + 15*v/2 = 0. What is v?
-5, -3, -1, 0
Factor 4*f**2 - 32*f - 36.
4*(f - 9)*(f + 1)
Determine s so that -5*s**2 + 330*s - 1525 = 0.
5, 61
Solve 5*m**4 - 60*m**3 - 70*m**2 + 60*m + 65 = 0 for m.
-1, 1, 13
Let -2*c**3 + 694*c**2 - 58432*c - 309760 = 0. Calculate c.
-5, 176
What is m in 4*m**3/5 + 212*m**2/5 + 2912*m/5 + 2704/5 = 0?
-26, -1
Let 3*g**3/8 - 315*g**2/8 + 1911*g/4 = 0. What is g?
0, 14, 91
Let -2*a**2 + 48*a + 162 = 0. Calculate a.
-3, 27
Factor -r**3/4 + 11*r**2/2 - 35*r + 50.
-(r - 10)**2*(r - 2)/4
Find w such that 3*w**2 + 150*w + 1443 = 0.
-37, -13
Let 252*j**2 - 16*j - 16 = 0. What is j?
-2/9, 2/7
Factor -n**5 - 6*n**4 + 91*n**3.
-n**3*(n - 7)*(n + 13)
Factor 4*v**2 + 24*v + 32.
4*(v + 2)*(v + 4)
Let 2*v**2/7 + 36*v/7 - 416/7 = 0. What is v?
-26, 8
Factor 4*p**4 + 4*p**3 - 4*p**2 - 4*p.
4*p*(p - 1)*(p + 1)**2
Let -4*k**3/5 - 51*k**2/5 + 13*k/5 = 0. What is k?
-13, 0, 1/4
Let 2*v**3 - 5100*v**2 - 2*v + 5100 = 0. What is v?
-1, 1, 2550
Factor -4*u**3 - 276*u**2 - 800*u - 528.
-4*(u + 1)*(u + 2)*(u + 66)
Determine f so that f**4 - 13*f**3 + 41*f**2 - 47*f + 18 = 0.
1, 2, 9
Factor t**2/12 + 13*t/12 + 10/3.
(t + 5)*(t + 8)/12
Factor 2*r**4/7 - 320*r**3/7 - 648*r**2/7.
2*r**2*(r - 162)*(r + 2)/7
Find f, given that -34969*f**2/5 - 4488*f/5 - 144/5 = 0.
-12/187
Factor 5*z**3/2 - 65*z**2/2 - 120*z.
5*z*(z - 16)*(z + 3)/2
Let v**3/3 + 67*v**2/3 + 477*v + 3159 = 0. What is v?
-27, -13
Factor -t**5/9 - 2*t**4/9 + 4*t**3/9 + 8*t**2/9.
-t**2*(t - 2)*(t + 2)**2/9
Find h, given that -294*h**5 + 4774*h**4 - 19904*h**3 + 3960*h**2 + 2176*h - 512 = 0.
-1/3, 2/7, 8
Factor 5*i**4 - 20*i**3 - 75*i**2 + 90*i.
5*i*(i - 6)*(i - 1)*(i + 3)
Let -g**4 + 4*g**3 + 11*g**2 + 6*g = 0. Calculate g.
-1, 0, 6
Factor 4*j**2 + 148*j + 1200.
4*(j + 12)*(j + 25)
Find d such that -25*d**5 + 260*d**4 - 1025*d**3 + 1870*d**2 - 1500*d + 360 = 0.
2/5, 2, 3
Determine k, given that 4*k**4/7 - 620*k**3/7 + 3476*k**2 - 3388*k = 0.
0, 1, 77
Find z such that 3*z**3/4 - 51*z**2/4 + 105*z/2 = 0.
0, 7, 10
Solve 4*n**4 - 16*n**3 - 100*n**2 + 112*n = 0 for n.
-4, 0, 1, 7
Let 2*d**3 + 30*d**2 + 54*d + 26 = 0. Calculate d.
-13, -1
Factor -2*h**2/11 - 832*h/11 - 830/11.
-2*(h + 1)*(h + 415)/11
Solve -2*j**3/11 + 18*j**2/11 - 16*j/11 = 0.
0, 1, 8
Suppose 4*r**5/5 + 48*r**4/5 + 36*r**3/5 - 88*r**2/5 = 0. What is r?
-11, -2, 0, 1
Suppose -4*i**3 - 508*i**2 - 16380*i - 15876 = 0. Calculate i.
-63, -1
Factor -2*x**4/3 - 4*x**3/3 + 10*x**2/3 + 4*x.
-2*x*(x - 2)*(x + 1)*(x + 3)/3
Determine d, give