2)*(w + 206)/9
Factor v**5/8 + v**4/8 - v**3/8 - v**2/8.
v**2*(v - 1)*(v + 1)**2/8
Factor 5*a**5 - 55*a**4 + 190*a**3 - 260*a**2 + 120*a.
5*a*(a - 6)*(a - 2)**2*(a - 1)
Suppose 81*w**5 + 171*w**4 + 93*w**3 - 3*w**2 - 6*w = 0. Calculate w.
-1, -1/3, 0, 2/9
Solve -2*m**4/13 - 2*m**3/13 + 20*m**2/13 - 16*m/13 = 0.
-4, 0, 1, 2
Suppose -2*i**4/3 - 320*i**3/3 + 216*i**2 = 0. What is i?
-162, 0, 2
What is b in -16*b**5/5 + 488*b**4/5 - 697*b**3/5 + 23*b**2/5 + 173*b/5 + 29/5 = 0?
-1/4, 1, 29
Factor -y**4/2 - 33*y**3/2 + 449*y**2/2 - 1515*y/2 + 550.
-(y - 5)**2*(y - 1)*(y + 44)/2
Solve 240*i**4 - 2000*i**3 + 3385*i**2 - 105*i - 270 = 0 for i.
-1/4, 1/3, 9/4, 6
Solve a**4/4 - 23*a**3/4 - 25*a**2/4 + 23*a/4 + 6 = 0.
-1, 1, 24
Factor -5*s**2 - 85*s + 90.
-5*(s - 1)*(s + 18)
Factor -5*u**4 - 55*u**3 - 50*u**2.
-5*u**2*(u + 1)*(u + 10)
Factor 2*g**4 + 8*g**3 - 24*g**2.
2*g**2*(g - 2)*(g + 6)
Let -2*o**4/3 + 44*o**3/3 - 14*o**2 = 0. Calculate o.
0, 1, 21
Factor 4*k**2 + 194*k - 98.
2*(k + 49)*(2*k - 1)
Factor -d**4/4 + 16*d**3 - 957*d**2/4 - 1089*d/2.
-d*(d - 33)**2*(d + 2)/4
What is b in 4*b**2 + 48*b + 144 = 0?
-6
Determine i, given that 2*i**5 + 6*i**4 + 4*i**3 = 0.
-2, -1, 0
Solve -2*f**2 - 86*f - 84 = 0 for f.
-42, -1
Factor y**4/2 + 4*y**3 - 15*y**2 - 112*y + 245/2.
(y - 5)*(y - 1)*(y + 7)**2/2
Suppose 3*v**5 + 507*v**4 + 21159*v**3 - 22695*v**2 - 43350*v = 0. What is v?
-85, -1, 0, 2
Determine l so that -146*l**3/5 - 296*l**2/5 - 8*l/5 = 0.
-2, -2/73, 0
Suppose 3*p**2/7 + 489*p/7 + 138 = 0. What is p?
-161, -2
What is g in g**2/3 + 22*g + 363 = 0?
-33
Solve -3*l**4 - 501*l**3 - 19608*l**2 + 110940*l = 0.
-86, 0, 5
Factor 2*g**5/7 + 2*g**4/7 - 66*g**3/7 + 18*g**2.
2*g**2*(g - 3)**2*(g + 7)/7
Determine h so that -3*h**3/2 + 195*h**2/2 - 1632*h + 1536 = 0.
1, 32
Factor 5*d**4 - 14920*d**3 + 11145230*d**2 - 22245720*d + 11115405.
5*(d - 1491)**2*(d - 1)**2
Factor 5*i**3 + 30*i**2 - 485*i + 1050.
5*(i - 5)*(i - 3)*(i + 14)
Factor f**2/3 + 28*f/3.
f*(f + 28)/3
Factor 5*g**4/4 - 75*g**3/4 + 45*g**2/2 + 130*g.
5*g*(g - 13)*(g - 4)*(g + 2)/4
Factor -441*a**2/2 - 21*a - 1/2.
-(21*a + 1)**2/2
Factor -75*g**2 - 145*g + 10.
-5*(g + 2)*(15*g - 1)
Determine u, given that u**5/3 - 2*u**4 + 11*u**3/3 - 2*u**2/3 - 4*u + 8/3 = 0.
-1, 1, 2
Factor -3*z**4 - 39*z**3 + 261*z**2 - 189*z - 486.
-3*(z - 3)**2*(z + 1)*(z + 18)
Factor j**5/2 + 9*j**4/4 + 7*j**3/4 - 7*j**2/2 - 3*j + 2.
(j - 1)*(j + 2)**3*(2*j - 1)/4
Determine g so that -5*g**2 + 90*g - 225 = 0.
3, 15
Let 6*m**2 - 160*m - 54 = 0. Calculate m.
-1/3, 27
Determine o so that -3*o**3 - 723*o**2 - 43197*o + 43923 = 0.
-121, 1
Suppose 69*s**3 - 132*s**2 + 57*s + 6 = 0. What is s?
-2/23, 1
Factor -i**2/6 - 511*i/6 - 85.
-(i + 1)*(i + 510)/6
Factor -u**2 + 4*u + 12.
-(u - 6)*(u + 2)
What is b in b**5 + 6*b**4 - 12*b**3 - 38*b**2 - 21*b = 0?
-7, -1, 0, 3
Solve 7*l**5/4 + 4*l**4 - 13*l**3 - 4*l**2 = 0.
-4, -2/7, 0, 2
Factor 3*p**2/2 - 51*p + 96.
3*(p - 32)*(p - 2)/2
Suppose -15*g**2 - 1113*g + 900 = 0. Calculate g.
-75, 4/5
Factor -4*s**2/3 - 20*s/3 + 792.
-4*(s - 22)*(s + 27)/3
Find p such that p**3/7 + 246*p**2 + 141204*p + 27017032 = 0.
-574
Factor 25*g**3 - 190*g**2 + 405*g - 180.
5*(g - 4)*(g - 3)*(5*g - 3)
Factor x**5 - 8*x**4 + 6*x**3 + 40*x**2 + 25*x.
x*(x - 5)**2*(x + 1)**2
Factor -4*t**2 - 3452*t + 3456.
-4*(t - 1)*(t + 864)
Solve 4*n**3 + 456*n**2 + 444*n - 904 = 0.
-113, -2, 1
Factor -2*i**3/13 + 28*i**2/13 + 98*i/13 + 68/13.
-2*(i - 17)*(i + 1)*(i + 2)/13
Suppose 3*i**3/4 - i**2/2 - 12*i + 8 = 0. Calculate i.
-4, 2/3, 4
Factor 2*k**5/7 + 60*k**4/7 + 640*k**3/7 + 2560*k**2/7 - 16384/7.
2*(k - 2)*(k + 8)**4/7
Factor 13*d**3 + 3*d**2 - 13*d - 3.
(d - 1)*(d + 1)*(13*d + 3)
Factor 14*w**3 - 53*w**2 - 14*w + 8.
(w - 4)*(2*w + 1)*(7*w - 2)
Factor 5*w**3 + 2390*w**2 - 4795*w + 2400.
5*(w - 1)**2*(w + 480)
Let -2*i**3 - 14*i**2 - 14*i + 30 = 0. Calculate i.
-5, -3, 1
Factor 5*a**2 + 875*a - 880.
5*(a - 1)*(a + 176)
Let f**2/4 - 66*f + 263/4 = 0. Calculate f.
1, 263
Factor -6*s**3/5 + 2*s**2/5.
-2*s**2*(3*s - 1)/5
Factor -4*h**3 - 8*h**2 + 76*h + 80.
-4*(h - 4)*(h + 1)*(h + 5)
Suppose -a**2/5 + 19*a/5 = 0. Calculate a.
0, 19
What is s in 4*s**3 - 48*s**2 - 432*s = 0?
-6, 0, 18
Let 3*z**3/5 + 57*z**2/5 + 42*z = 0. Calculate z.
-14, -5, 0
Factor 2*f**4/15 + 284*f**3/3 + 83542*f**2/5 - 101104*f/3 + 253472/15.
2*(f - 1)**2*(f + 356)**2/15
Factor -4*t**5 + 8*t**4 + 68*t**3 - 280*t**2 + 368*t - 160.
-4*(t - 2)**3*(t - 1)*(t + 5)
Determine p so that 3*p**3 - 309*p**2 + 2328*p - 4560 = 0.
4, 95
Factor -25*v**3 + 135*v**2 + 90*v.
-5*v*(v - 6)*(5*v + 3)
Suppose 3*k**5 + 60*k**4 - 135*k**3 - 60*k**2 + 132*k = 0. Calculate k.
-22, -1, 0, 1, 2
Suppose 2*m**2/23 + 44*m/23 - 640/23 = 0. Calculate m.
-32, 10
Solve w**3/3 - 10*w**2/3 + 11*w - 12 = 0 for w.
3, 4
Factor 2*y**3/3 + 32*y**2/3 - 110*y/3 + 76/3.
2*(y - 2)*(y - 1)*(y + 19)/3
Factor 5*u**3 - 1000*u**2 + 5865*u - 8730.
5*(u - 194)*(u - 3)**2
Factor 4*j**3/7 - 228*j/7 + 32.
4*(j - 7)*(j - 1)*(j + 8)/7
Solve 3*s**4 + 12*s**3 - 57*s**2 + 42*s = 0.
-7, 0, 1, 2
Determine q, given that -2*q**2 - 22*q + 120 = 0.
-15, 4
Factor 2*g**3/5 + 18*g**2 + 606*g/5 + 518/5.
2*(g + 1)*(g + 7)*(g + 37)/5
Factor -147*x**4/5 - 9492*x**3/5 - 155916*x**2/5 - 86784*x/5 - 12288/5.
-3*(x + 32)**2*(7*x + 2)**2/5
Determine p so that 6*p**5/5 + 6*p**4 - 42*p**3/5 - 6*p**2 + 36*p/5 = 0.
-6, -1, 0, 1
Suppose p**5/12 + 5*p**4/12 + p**3/3 = 0. Calculate p.
-4, -1, 0
Factor 8*i**4 - 294*i**3 - 698*i**2 - 156*i.
2*i*(i - 39)*(i + 2)*(4*i + 1)
Let -3*m**4 + 39*m**3 - 90*m**2 = 0. Calculate m.
0, 3, 10
Factor 2*m**4 + 3400*m**3 + 6794*m**2 + 3396*m.
2*m*(m + 1)**2*(m + 1698)
Suppose -2*w**5 + 36*w**4 + 44*w**3 - 104*w**2 - 186*w - 76 = 0. What is w?
-1, 2, 19
Factor 16*v**4 + 28*v**3 - 4*v**2 - 28*v - 12.
4*(v - 1)*(v + 1)**2*(4*v + 3)
Factor -5*o**2 - 305*o - 3600.
-5*(o + 16)*(o + 45)
Factor -2*j**5/11 + 2*j**4/11 + 18*j**3/11 + 2*j**2 + 8*j/11.
-2*j*(j - 4)*(j + 1)**3/11
What is b in b**4/2 + 15*b**3 + 75*b**2/2 - 85*b - 108 = 0?
-27, -4, -1, 2
Determine h, given that -2*h**3 - 362*h**2 + 730*h - 366 = 0.
-183, 1
What is j in -3*j**2/5 - 11034*j/5 - 10145763/5 = 0?
-1839
Factor 4*m**5 - 24*m**4 + 32*m**3 + 24*m**2 - 36*m.
4*m*(m - 3)**2*(m - 1)*(m + 1)
Solve 2*w**3/13 - 128*w**2/13 - 134*w/13 + 20 = 0.
-2, 1, 65
Factor -3*b**3 + 33*b**2 + 903*b + 3675.
-3*(b - 25)*(b + 7)**2
Factor z**4/4 - 3*z**3/4 - z**2/2 + 3*z - 2.
(z - 2)**2*(z - 1)*(z + 2)/4
Factor -2*q**2/3 - 1538*q/3 + 1540/3.
-2*(q - 1)*(q + 770)/3
Solve 5*w**3 - 460*w**2 + 10105*w + 22090 = 0 for w.
-2, 47
Factor -5*h**4/6 + 1985*h**3/3 - 175560*h**2 + 15681600*h - 30666240.
-5*(h - 264)**3*(h - 2)/6
Factor -5*a**4 - 500*a**3 - 10295*a**2.
-5*a**2*(a + 29)*(a + 71)
Find p such that 2*p**5/3 - 52*p**4/3 + 96*p**3 - 428*p**2/3 + 190*p/3 = 0.
0, 1, 5, 19
Factor 2*y**3 + 10*y**2 - 96*y - 504.
2*(y - 7)*(y + 6)**2
Let 2*d**4/7 - 12*d**3/7 - 142*d**2/7 + 480*d/7 + 3200/7 = 0. Calculate d.
-5, 8
Let -m**4/2 - 85*m**3/2 + 132*m**2 - 2*m - 176 = 0. What is m?
-88, -1, 2
Determine l so that l**5 + 8*l**4/3 + 4*l**3/3 - 2*l**2 - 7*l/3 - 2/3 = 0.
-1, -2/3, 1
Factor -4*p**3 - 148*p**2 - 1648*p - 5040.
-4*(p + 5)*(p + 14)*(p + 18)
Factor -14*o**2/5 + 536*o/5 - 152/5.
-2*(o - 38)*(7*o - 2)/5
Let -8*k**4 + 96*k**3 - 431*k**2/2 - 6*k + 27/2 = 0. What is k?
-1/4, 1/4, 3, 9
Factor 2*b**2/3 + 2528*b/3 + 798848/3.
2*(b + 632)**2/3
Let o**5 - 8*o**4/3 + 10*o**2/3 - o - 2/3 = 0. Calculate o.
-1, -1/3, 1, 2
Factor -132*l**2/5 + 2*l/5.
-2*l*(66*l - 1)/5
Suppose s**2/3 + 56*s/3 - 19 = 0. Calculate s.
-57, 1
Factor -3*z**5 - 21*z**4 - 45*z**3 - 39*z**2 - 12*z.
-3*z*(z + 1)**3*(z + 4)
Factor 4*b**5/5 - 4*b**4/5 - 8*b**3/5 + 8*b**2/5 + 4*b/5 - 4/5.
4*(b - 1)**3*(b + 1)**2/5
Solve -10*f**4 - 2644*f**3 - 175296*f**2 - 69696*f = 0 for f.
-132, -2/5, 0
Find a, given that 2*a**3/3 - 364*a**2/3 + 238*a + 360 = 0.
-1, 3, 180
Factor -2*s**3/11 - 17818*s**2/11 - 39694048*s/11 - 39676232/11.
-2*(s + 1)*(s + 4454)**2/11
Factor 3*b**2 - 114*b - 1440.
3*(b - 48)*(b + 10)
Solve k**3/5 - 73*k**2/5 - 74*k/5 = 0.
-1, 0, 74
Suppose 2*y**3/11 - 1176*y**2/11 - 1178*y/11 = 0. What is y?
-1, 0, 589
Solve -d**2/2 + 227*d - 452 = 0.
2, 452
Solve 3*o**2 - 33*o - 36 = 0 for o.
-1, 12
Determine z, given 