o that 3*a**4/2 + 87*a**3/2 + 402*a**2 + 1224*a + 864 = 0.
-12, -4, -1
Factor -3*f**3 - 7845*f**2 - 5132589*f - 5124747.
-3*(f + 1)*(f + 1307)**2
Factor -h**4 - 306*h**3 - 22473*h**2 + 143208*h - 219024.
-(h - 3)**2*(h + 156)**2
Solve -5*u**4 - 50*u**3 + 240*u**2 + 3200*u + 5120 = 0 for u.
-8, -2, 8
Factor 4*c**3 + 16*c**2 + 16*c.
4*c*(c + 2)**2
Suppose 2*n**3/7 - 4*n**2/7 - 8*n/7 + 16/7 = 0. What is n?
-2, 2
Factor -3*c**3/2 + 4167*c**2/2 - 1929321*c/2 + 297758541/2.
-3*(c - 463)**3/2
What is l in 5*l**2 + 25*l - 250 = 0?
-10, 5
Factor d**3/6 - 176*d**2 + 61952*d - 21807104/3.
(d - 352)**3/6
Solve -4*l**4/9 - 56*l**3/9 - 164*l**2/9 - 16*l/9 + 80/3 = 0 for l.
-10, -3, -2, 1
Factor 3*k**3/5 + 51*k**2/5 + 186*k/5 - 48.
3*(k - 1)*(k + 8)*(k + 10)/5
Factor -2*w**2/17 - 1144*w - 2781064.
-2*(w + 4862)**2/17
Suppose 12*t**5/5 - 334*t**4/15 - 724*t**3/15 + 138*t**2/5 + 104*t/3 + 88/15 = 0. What is t?
-2, -1/2, -2/9, 1, 11
Solve 8*t**5/9 - 298*t**4/9 + 362*t**3/9 - 8*t**2 = 0 for t.
0, 1/4, 1, 36
Solve 20*p**3 - 295*p**2 + 1005*p + 270 = 0.
-1/4, 6, 9
Suppose -2*t**2/17 + 6*t/17 + 36/17 = 0. Calculate t.
-3, 6
Factor -9*c**4/7 - 510*c**3/7 + 171*c**2/7.
-3*c**2*(c + 57)*(3*c - 1)/7
Factor -m**5 + 2*m**4 + 8*m**3.
-m**3*(m - 4)*(m + 2)
Solve -20*a**5 - 295*a**4 - 125*a**3 + 1250*a**2 + 820*a - 280 = 0 for a.
-14, -2, -1, 1/4, 2
Determine x so that -x**3 + 21*x**2 + 24*x - 44 = 0.
-2, 1, 22
Determine g so that 5*g**5 + 25*g**4 - 30*g**3 = 0.
-6, 0, 1
Factor 15*p**2/4 + 387*p + 309/4.
3*(p + 103)*(5*p + 1)/4
Find q, given that -4*q**2 + 68*q - 64 = 0.
1, 16
Factor -o**2/2 - 161*o - 25921/2.
-(o + 161)**2/2
Determine x so that 2*x**2 + 656*x + 53792 = 0.
-164
Let b**5/7 + 12*b**4/7 + 37*b**3/7 + 6*b**2 + 16*b/7 = 0. What is b?
-8, -2, -1, 0
Factor -2*g**3 + 16*g**2 + 22*g - 36.
-2*(g - 9)*(g - 1)*(g + 2)
Let 2*t**4 + 8*t**3 = 0. Calculate t.
-4, 0
Solve -4*d**5/3 - 40*d**4/3 - 25*d**3/3 + 355*d**2/3 - 455*d/3 + 169/3 = 0 for d.
-13/2, 1
Factor -12*k**2/11 + 10*k/11.
-2*k*(6*k - 5)/11
Suppose 3*v**2 + 1929*v - 1932 = 0. Calculate v.
-644, 1
Factor 3*w**2 + 1707*w + 1704.
3*(w + 1)*(w + 568)
Factor -g**4/4 - 5*g**3 - 69*g**2/4 + 101*g/2 - 28.
-(g - 1)**2*(g + 8)*(g + 14)/4
What is y in 5*y**5/3 - 5*y**4/3 - 40*y**3/3 + 20*y**2 = 0?
-3, 0, 2
Let 17*w**5/4 + 87*w**4/4 + 73*w**3/2 + 21*w**2 + 2*w = 0. What is w?
-2, -1, -2/17, 0
Determine v, given that -2*v**5 - 150*v**4 + 2*v**3 + 150*v**2 = 0.
-75, -1, 0, 1
Let -4*j**3 + 12*j**2 + 4*j - 12 = 0. Calculate j.
-1, 1, 3
Solve 3*w**4 + 76*w**3 + 143*w**2 - 406*w + 184 = 0 for w.
-23, -4, 2/3, 1
Factor 4*y**3/3 - 24*y**2 - 112*y - 352/3.
4*(y - 22)*(y + 2)**2/3
Factor -3*v**3 - 33*v**2 - 21*v + 441.
-3*(v - 3)*(v + 7)**2
Factor 144*o**4 + 1104*o**3 - 1676*o**2 + 464*o - 36.
4*(o - 1)*(o + 9)*(6*o - 1)**2
Suppose -25*a**3 - 8830*a**2 + 7076*a - 1416 = 0. What is a?
-354, 2/5
Solve 2*u**4/9 - 22*u**3/9 + 32*u**2/9 + 56*u/3 = 0.
-2, 0, 6, 7
Determine c, given that -15*c**2 - 4809*c + 1926 = 0.
-321, 2/5
Factor 9*k**4/5 + 3*k**3/5 - 6*k**2/5.
3*k**2*(k + 1)*(3*k - 2)/5
Factor 116*w**4 + 704*w**3 + 976*w**2 + 64*w.
4*w*(w + 2)*(w + 4)*(29*w + 2)
Find s such that 9*s**4/5 - 1191*s**3/5 + 37146*s**2/5 + 150144*s/5 + 83232/5 = 0.
-3, -2/3, 68
Determine d so that 2*d**4 + 52*d**3 + 226*d**2 + 344*d + 168 = 0.
-21, -2, -1
Factor s**2 + 115*s + 550.
(s + 5)*(s + 110)
Let 3*u**3 + 1383*u**2 - 3*u - 1383 = 0. Calculate u.
-461, -1, 1
Find q such that 3*q**2 + 732*q + 1452 = 0.
-242, -2
What is j in -700*j**2 - 2805*j - 20 = 0?
-4, -1/140
Factor -3*z**2/4 - 411*z/4 + 870.
-3*(z - 8)*(z + 145)/4
Determine a so that -4*a**4 - 90*a**3 - 128*a**2 - 42*a = 0.
-21, -1, -1/2, 0
Suppose -4*f**2 + 3576*f = 0. Calculate f.
0, 894
Find d such that 2*d**4 + 36*d**3 + 216*d**2 + 476*d + 294 = 0.
-7, -3, -1
Suppose p**4/4 - 45*p**3/2 + 261*p**2/4 + p - 87 = 0. Calculate p.
-1, 2, 87
Factor -9*v**3 + 48*v**2 + 1119*v - 378.
-3*(v - 14)*(v + 9)*(3*v - 1)
Factor -128*m**5 - 480*m**4 - 546*m**3 - 196*m**2.
-2*m**2*(m + 2)*(8*m + 7)**2
Suppose 2*r**3/3 - 10*r**2 - 462*r - 8954/3 = 0. Calculate r.
-11, 37
Suppose -x**5 - 4*x**4 + 14*x**2 + 17*x + 6 = 0. Calculate x.
-3, -1, 2
Factor 25*w**2/3 + 235*w/3 + 30.
5*(w + 9)*(5*w + 2)/3
Solve -o**3 + 14*o**2 - 33*o = 0.
0, 3, 11
Suppose m**5/4 + 4*m**4 + 4*m**3 - 93*m**2/2 - 225*m/4 + 189/2 = 0. What is m?
-14, -3, 1, 3
Solve -3*q**4 + 15*q**3 - 12*q**2 = 0 for q.
0, 1, 4
Suppose 5*p**4 - 15*p**3 + 20*p = 0. Calculate p.
-1, 0, 2
Find p such that p**2/7 + 8*p/7 + 16/7 = 0.
-4
Determine z, given that 42*z**4 - 173*z**3 + 12*z**2 + 32*z = 0.
-8/21, 0, 1/2, 4
Factor -4*x**3 + 492*x**2 - 972*x + 484.
-4*(x - 121)*(x - 1)**2
Suppose x**4/8 + 5*x**3/4 + 21*x**2/8 = 0. What is x?
-7, -3, 0
Solve 3*y**4 + 207*y**3/4 + 915*y**2/4 + 54*y = 0.
-9, -8, -1/4, 0
Let -s**4 - 13*s**3 - 15*s**2 + 73*s - 44 = 0. What is s?
-11, -4, 1
Solve -2*h**2/5 - 32*h/5 - 128/5 = 0 for h.
-8
Determine c so that c**2/2 + 15*c/2 = 0.
-15, 0
Solve -4*t**4/9 + 772*t**3/3 - 329392*t**2/9 - 565312*t/3 - 1364224/9 = 0 for t.
-4, -1, 292
Find c, given that 79*c**2/3 + 173*c/9 + 10/9 = 0.
-2/3, -5/79
Factor -12*y**3 - 568*y**2 + 2220*y - 1224.
-4*(y - 3)*(y + 51)*(3*y - 2)
Let -p**2 + 4 = 0. What is p?
-2, 2
Suppose -4*l**4 + 464*l**3 - 11992*l**2 - 84912*l - 133956 = 0. What is l?
-3, 61
Suppose 5*z**3 - 25*z**2 - 20*z + 100 = 0. Calculate z.
-2, 2, 5
Factor 3*m**3 - 276*m**2 + 6348*m.
3*m*(m - 46)**2
Factor 12*d**2 + 627*d + 156.
3*(d + 52)*(4*d + 1)
Find o, given that 4*o**5 + 324*o**4 + 6720*o**3 + 6400*o**2 = 0.
-40, -1, 0
Suppose 2*y**3/11 - 112*y**2/11 - 118*y/11 + 228/11 = 0. What is y?
-2, 1, 57
Factor -2*y**2/11 - 32*y/11 - 128/11.
-2*(y + 8)**2/11
Let -m**2/5 + 18*m/5 + 88/5 = 0. What is m?
-4, 22
Find g such that -4*g**2/3 + 16*g/3 = 0.
0, 4
Factor 2*k**3/5 + 6*k**2/5 - 18*k/5 + 2.
2*(k - 1)**2*(k + 5)/5
Factor 5*d**3 - 1460*d**2 + 108025*d - 210250.
5*(d - 145)**2*(d - 2)
Solve 2*l**5 - 28*l**4/3 + 20*l**3/3 + 40*l**2/3 - 26*l/3 - 4 = 0 for l.
-1, -1/3, 1, 2, 3
Let w**4 + w**3 - 7*w**2 - 13*w - 6 = 0. Calculate w.
-2, -1, 3
Factor -4*b**2 - 500*b.
-4*b*(b + 125)
Let -3*k**3 - 75*k**2 - 504*k - 432 = 0. What is k?
-12, -1
Factor -k**2/3 - 16*k/3 - 16.
-(k + 4)*(k + 12)/3
Find o such that 2*o**5/13 - 12*o**4/13 + 18*o**3/13 = 0.
0, 3
Factor g**4/3 - 45*g**3 + 1996*g**2/3 + 63468*g + 188272/3.
(g - 82)**2*(g + 1)*(g + 28)/3
Factor -10*y**2/3 + 298*y/3 - 232/3.
-2*(y - 29)*(5*y - 4)/3
Find d such that -d**2/4 - d - 3/4 = 0.
-3, -1
What is x in 2*x**5/3 - 16*x**4/3 + 12*x**3 - 18*x = 0?
-1, 0, 3
Factor -2*s**3 - 388*s**2 - 18818*s.
-2*s*(s + 97)**2
Suppose -b**4/5 + b**3/5 + 6*b**2/5 = 0. What is b?
-2, 0, 3
Suppose -6*r**5 - 9*r**4 + 6*r**3 = 0. What is r?
-2, 0, 1/2
Factor p**5 + 144*p**4 + 5601*p**3 + 30230*p**2 + 58236*p + 38088.
(p + 2)**3*(p + 69)**2
Factor -t**4/2 + 11*t**3/2 - 9*t**2/2 - 119*t/2 - 49.
-(t - 7)**2*(t + 1)*(t + 2)/2
Factor 15*f**4 - 55*f**3 - 20*f**2.
5*f**2*(f - 4)*(3*f + 1)
Factor 2*c**2/5 + 58*c/5 - 12.
2*(c - 1)*(c + 30)/5
Suppose 2*y**2/9 + 4*y + 154/9 = 0. Calculate y.
-11, -7
Find d, given that d**5/3 - 12*d**3 + 22*d**2/3 + 49*d + 30 = 0.
-6, -1, 3, 5
Factor 22*u**2 - 42*u + 20.
2*(u - 1)*(11*u - 10)
Factor 4*f**3/7 + 44*f**2/7 + 76*f/7 + 36/7.
4*(f + 1)**2*(f + 9)/7
Factor 2*v**5 - 42*v**4 - 138*v**3 - 142*v**2 - 48*v.
2*v*(v - 24)*(v + 1)**3
Determine r, given that 4*r**4 + 48*r**3 - 56*r**2 - 48*r + 52 = 0.
-13, -1, 1
Find o, given that -28*o**4 + 692*o**3 + 928*o**2 + 208*o = 0.
-1, -2/7, 0, 26
Solve 5*w**4 - 155*w**3 - 4245*w**2 - 8005*w - 3920 = 0 for w.
-16, -1, 49
Determine h so that 2*h**2/3 - 6*h = 0.
0, 9
Determine n so that 6*n**5 - 93*n**4 + 423*n**3 - 483*n**2 + 147*n = 0.
0, 1/2, 1, 7
Factor 5*k**4/2 + 7694*k**3 + 7891992*k**2 + 2696955912*k - 1080045576.
(k + 1026)**3*(5*k - 2)/2
Determine m so that -3*m**3 + 189*m**2 + 1008*m + 816 = 0.
-4, -1, 68
Suppose 2*i**5 + 18*i**4 - 310*i**3 - 666*i**2 - 340*i = 0. What is i?
-17, -1, 0, 10
Factor 27*i**4 - 93*i**3 + 36*i**2.
3*i**2*(i - 3)*(9*i - 4)
Factor -5*d**2 + 925*d - 920.
-5*(d - 184)*(d - 1)
Suppose l**5/4 + 11*l**4/4 - 25*l**3/4 + 13*l**2/4 = 0. Calculate l.
-13, 0, 1
Solve 5*f**3 + 50*f**2 + 145*f + 100 = 0.
-5, -4, -1
Let w**5/5 