**2 + 150*p = 0?
-10, -3, 0, 1
Determine l, given that -128*l**4 - 1904*l**3 + 244*l**2 + 60*l = 0.
-15, -1/8, 0, 1/4
Factor -2*y**3/3 - 1360*y**2 - 924800*y - 628864000/3.
-2*(y + 680)**3/3
Factor -x**4/2 + 6*x**3 + 69*x**2/2 - 40*x.
-x*(x - 16)*(x - 1)*(x + 5)/2
Find x such that 4*x**4/5 + 12*x**3/5 - 3*x**2/5 - 2*x - 3/5 = 0.
-3, -1/2, 1
Solve 3*j**4/5 - 918*j**3/5 + 2727*j**2/5 + 12*j/5 - 3636/5 = 0.
-1, 2, 303
Factor -3*d**5 - 15*d**4 - 24*d**3 - 12*d**2.
-3*d**2*(d + 1)*(d + 2)**2
Factor 6*u**3 + 9*u**2 - 15*u - 18.
3*(u + 1)*(u + 2)*(2*u - 3)
Factor -2*q**3/7 - 8*q**2/7 + 2*q + 20/7.
-2*(q - 2)*(q + 1)*(q + 5)/7
Solve 2*m**3/7 - 74*m**2/7 + 80*m + 2400/7 = 0 for m.
-3, 20
Solve -4*l**2 + 536*l - 1056 = 0.
2, 132
Let 2*o**5/5 + 6*o**4/5 - 6*o**3/5 - 22*o**2/5 - 12*o/5 = 0. What is o?
-3, -1, 0, 2
Factor -5*x**3 - 80*x**2 - 65*x + 150.
-5*(x - 1)*(x + 2)*(x + 15)
Find c, given that -3*c**4 + 15*c**3 + 99*c**2 + 81*c = 0.
-3, -1, 0, 9
Factor -2*l**2/5 - 3824*l/5 + 3826/5.
-2*(l - 1)*(l + 1913)/5
Determine x so that -5*x**3 - 50*x**2 + 115*x - 60 = 0.
-12, 1
Factor 5*v**2 + 300*v - 10080.
5*(v - 24)*(v + 84)
Solve -5*z**5/3 + 28*z**4/3 + 5*z**3 - 6*z**2 = 0 for z.
-1, 0, 3/5, 6
Determine j, given that 5*j**4 - 25*j**3 + 40*j**2 - 20*j = 0.
0, 1, 2
Factor -u**2 + 55*u.
-u*(u - 55)
Suppose -4*o**4 + 232*o**3 + 240*o**2 - 232*o - 236 = 0. What is o?
-1, 1, 59
Suppose 3*b**5 + 48*b**4 - 222*b**3 + 348*b**2 - 237*b + 60 = 0. What is b?
-20, 1
Factor 21*v**3/5 - 60*v**2 + 588*v/5 - 144/5.
3*(v - 12)*(v - 2)*(7*v - 2)/5
Determine j, given that -2*j**5 - 6*j**4 + 12*j**3 + 16*j**2 = 0.
-4, -1, 0, 2
Let -32*o**4 - 116*o**3 - 112*o**2 - 4*o + 24 = 0. What is o?
-2, -1, 3/8
Factor k**2/6 + k + 5/6.
(k + 1)*(k + 5)/6
Let 9*r**2 + 258*r - 87 = 0. What is r?
-29, 1/3
Factor 16*l**2/3 + 140*l/3 - 12.
4*(l + 9)*(4*l - 1)/3
Determine n, given that -n**5 - n**4 + 3*n**3 + n**2 - 2*n = 0.
-2, -1, 0, 1
Let -4*w**4 - 864*w**3 - 69984*w**2 - 2519424*w - 34012224 = 0. Calculate w.
-54
Factor -118*y**4/3 + 476*y**3 - 1936*y**2 + 8128*y/3 - 256.
-2*(y - 4)**3*(59*y - 6)/3
Find q, given that 2*q**5 + 14*q**4 + 36*q**3 + 44*q**2 + 26*q + 6 = 0.
-3, -1
Suppose 605*v**5/6 - 385*v**4/2 - 300*v**3 + 940*v**2/3 + 440*v + 120 = 0. Calculate v.
-1, -6/11, 2
Factor -2*f**3/5 - 966*f**2/5 - 22638*f + 168070.
-2*(f - 7)*(f + 245)**2/5
Factor 2*l**2/17 + 10*l/17 + 8/17.
2*(l + 1)*(l + 4)/17
Determine j, given that j**5/2 - 19*j**4/2 + 81*j**3/2 - 29*j**2/2 - 65*j = 0.
-1, 0, 2, 5, 13
Factor k**2/2 - 10*k - 22.
(k - 22)*(k + 2)/2
Determine j so that -9*j**4/2 - 235*j**3 - 934*j**2 - 1060*j - 192 = 0.
-48, -2, -2/9
Suppose z**2 - 465*z + 464 = 0. What is z?
1, 464
Factor u**3/6 - 91*u**2/6 + 705*u/2 - 675/2.
(u - 45)**2*(u - 1)/6
Suppose -p**5/2 + 12*p**4 + 128*p**3 = 0. What is p?
-8, 0, 32
Suppose 3*r**5/8 - 63*r**4/8 + 291*r**3/8 - 297*r**2/8 - 147*r/4 + 45 = 0. Calculate r.
-1, 1, 2, 4, 15
Factor -u**2/4 - u - 1.
-(u + 2)**2/4
Determine j so that -2*j**4/7 + 4*j**3/7 + 2*j**2 + 8*j/7 = 0.
-1, 0, 4
Solve -37*y**3/4 + 129*y**2 + 7*y = 0.
-2/37, 0, 14
Factor 3*w**4 - 132*w**3 - 222*w**2 + 36828*w + 233523.
3*(w - 31)**2*(w + 9)**2
Factor 1029*u**5/5 + 15582*u**4/5 + 51996*u**3/5 - 10488*u**2 + 15744*u/5 - 1536/5.
3*(u + 8)**2*(7*u - 2)**3/5
Factor -5*h**3 + 30*h**2 + 900*h - 7000.
-5*(h - 10)**2*(h + 14)
Find q such that 2*q**5/9 - 14*q**4/9 + 10*q**3/3 - 10*q**2/9 - 32*q/9 + 8/3 = 0.
-1, 1, 2, 3
Solve o**5 + 26*o**4/3 + 15*o**3 - 38*o**2 - 256*o/3 + 32 = 0.
-4, -3, 1/3, 2
Suppose -3*c**2 + 600*c + 603 = 0. What is c?
-1, 201
Factor 68*m**3 + 128*m**2 + 52*m - 8.
4*(m + 1)**2*(17*m - 2)
Find g such that 2*g**5/3 - 14*g**4/3 + 8*g**3 + 8*g**2/3 - 32*g/3 = 0.
-1, 0, 2, 4
Factor 5*n**2 + 870*n - 875.
5*(n - 1)*(n + 175)
Solve 2*r**4/15 - 2*r**3/5 - 6*r**2/5 + 18*r/5 = 0 for r.
-3, 0, 3
Factor 4*b**4 + 4*b**3 - 16*b**2 - 16*b.
4*b*(b - 2)*(b + 1)*(b + 2)
Factor -k**3 - 62*k**2 - 121*k - 60.
-(k + 1)**2*(k + 60)
Factor -2*z**4/5 - 48*z**3/5 + 10*z**2.
-2*z**2*(z - 1)*(z + 25)/5
Solve 45*x**4 + 85*x**3 + 35*x**2 - 5*x = 0.
-1, 0, 1/9
Suppose 2*z**5/7 + 762*z**4/7 - 4*z**3/7 - 1524*z**2/7 + 2*z/7 + 762/7 = 0. Calculate z.
-381, -1, 1
Factor 6*n**3 - 6766*n**2 + 4506*n + 2254.
2*(n - 1127)*(n - 1)*(3*n + 1)
Find m, given that -14*m**5/15 - 10*m**4 - 32*m**3/5 + 8*m**2/3 = 0.
-10, -1, 0, 2/7
Factor -7*q**4/2 + 694*q**3 - 45936*q**2 + 1019304*q - 287496.
-(q - 66)**3*(7*q - 2)/2
Factor 3*t**3/5 + 12*t**2/5 + 3*t + 6/5.
3*(t + 1)**2*(t + 2)/5
Let 5*k**2 + 180*k + 1620 = 0. What is k?
-18
Find q such that q**5/4 - 5*q**4/2 + 19*q**3/2 - 17*q**2 + 57*q/4 - 9/2 = 0.
1, 2, 3
Find g, given that g**2/5 + 1979*g/5 = 0.
-1979, 0
Determine u, given that -4*u**3 + 512*u**2 - 1012*u + 504 = 0.
1, 126
Factor g**3 + 63*g**2 - 129*g + 65.
(g - 1)**2*(g + 65)
Let -6*s**5 - 20*s**4 + 22*s**3 + 92*s**2 + 8*s - 48 = 0. Calculate s.
-3, -2, -1, 2/3, 2
Determine p so that -p**5/6 + 151*p**4/6 - 2885*p**3/3 + 813*p**2 + 9225*p/2 + 5625/2 = 0.
-1, 3, 75
Factor q**2 - 285*q + 284.
(q - 284)*(q - 1)
Suppose h**5 - 5*h**4 - h**3 + 41*h**2 - 72*h + 36 = 0. What is h?
-3, 1, 2, 3
Solve 5*y**4/6 + 41*y**3/3 - 253*y**2/6 - 19*y = 0.
-19, -2/5, 0, 3
Solve -6*v**4 + 5457*v**3 - 8172*v**2 - 3*v + 2724 = 0 for v.
-1/2, 1, 908
Factor -s**3/3 + 4*s**2/3 + 4*s/3 - 16/3.
-(s - 4)*(s - 2)*(s + 2)/3
Determine g, given that 2*g**4/11 + 12*g**3 - 6*g**2/11 - 400*g/11 - 24 = 0.
-66, -1, 2
Factor n**4 - 3*n**3 + 3*n**2 - n.
n*(n - 1)**3
Suppose -4*a**4/7 - 8*a**3/7 + 8*a/7 + 4/7 = 0. What is a?
-1, 1
Suppose -3*h**5 - 12*h**4 + 36*h**3 - 6*h**2 - 33*h + 18 = 0. What is h?
-6, -1, 1
Suppose -8*w**3/9 + 74*w**2/9 + 398*w/9 - 104/9 = 0. What is w?
-4, 1/4, 13
Determine o, given that 3*o**3 - 13*o**2/4 + o/4 = 0.
0, 1/12, 1
Let 5*p**2 - 31410*p + 49329405 = 0. Calculate p.
3141
Factor -z**5/2 + 27*z**4 - 78*z**3 + 77*z**2 - 51*z/2.
-z*(z - 51)*(z - 1)**3/2
Let -196*i**5 - 49896*i**4 - 78052*i**3 - 32400*i**2 - 4048*i = 0. Calculate i.
-253, -1, -2/7, 0
Find i such that -3*i**5 + 183*i**4/4 - 753*i**3/4 + 717*i**2/4 - 135*i/4 = 0.
0, 1/4, 1, 5, 9
Factor -j**3 - 161*j**2 - 474*j.
-j*(j + 3)*(j + 158)
Determine h, given that -h**2/2 - 73*h/2 - 621 = 0.
-46, -27
What is k in -4*k**5 + 324*k**4 - 2424*k**3 - 159880*k**2 - 1389444*k - 3568572 = 0?
-7, 51
Factor 3*h**2 + 189*h + 366.
3*(h + 2)*(h + 61)
Let -2*m**3/3 - 52*m**2 - 442*m/3 + 200 = 0. What is m?
-75, -4, 1
Factor 3*j**5/4 + 21*j**4/4 + 15*j**3/2.
3*j**3*(j + 2)*(j + 5)/4
Determine w so that -5*w**5/6 + 5*w**4/6 + 65*w**3/6 - 5*w**2/6 - 10*w = 0.
-3, -1, 0, 1, 4
Determine s so that -2*s**4/9 - 14*s**3/3 - 176*s**2/9 - 88*s/3 - 128/9 = 0.
-16, -2, -1
Factor -u**4 - 11*u**3/9 + 52*u**2/9 + 4*u/3.
-u*(u - 2)*(u + 3)*(9*u + 2)/9
Suppose -2*x**3 - 8*x**2 - 2*x + 12 = 0. What is x?
-3, -2, 1
Suppose -5*h**2 - 135*h + 140 = 0. Calculate h.
-28, 1
Factor v**2/2 - 5627*v + 31663129/2.
(v - 5627)**2/2
Factor 2*o**2/7 - 14*o + 96/7.
2*(o - 48)*(o - 1)/7
Factor o**5/10 + 21*o**4/10 + 39*o**3/10 + 19*o**2/10.
o**2*(o + 1)**2*(o + 19)/10
Suppose 4*h**2 + 108*h + 288 = 0. Calculate h.
-24, -3
Solve -3*s**5/4 + 6*s**4 - 3*s**3 - 39*s**2/2 + 111*s/4 - 21/2 = 0.
-2, 1, 7
Suppose t**4/7 - 2*t**3 + 23*t**2/7 + 2*t - 24/7 = 0. Calculate t.
-1, 1, 2, 12
Suppose -3*j**4/2 - 165*j**3/2 + 525*j**2/2 + 165*j/2 - 261 = 0. Calculate j.
-58, -1, 1, 3
Suppose 5*l**3 + 5355*l**2 + 1911735*l + 227496465 = 0. Calculate l.
-357
Factor 5*l**3 + 109*l**2 + 83*l - 21.
(l + 1)*(l + 21)*(5*l - 1)
Suppose -r**4/2 - 17*r**3/2 - 69*r**2/2 - 23*r/2 + 55 = 0. What is r?
-11, -5, -2, 1
Suppose a**5/4 + 47*a**4/8 + 333*a**3/8 + 805*a**2/8 + 325*a/8 = 0. Calculate a.
-13, -5, -1/2, 0
Find g such that -4*g**2 + 5752*g - 2067844 = 0.
719
Determine y so that 4*y**4/7 + 516*y**3/7 - 520*y**2/7 = 0.
-130, 0, 1
Solve -2*x**2 + 86*x - 84 = 0.
1, 42
Factor -3*z**2 + 498*z - 20667.
-3*(z - 83)**2
Determine g, given that -24*g**5/5 - 8*g**4/5 + 74*g**3/5 + 72*g**2/5 + 2*g - 4/5 = 0.
-1, -1/2, 1/6, 2
Solve -2*w**4/5 + 10*w**3 + 348*w**2/5 + 728*w/5 + 496/5 = 0 for w.
-2, 31
Let 2*k**3 - 38*k**2 + 70*k - 34 = 0. Calculate k.
1, 17
Determine l so that l**3 + 45*l**2 + 675*l + 3375 = 0.
-15
Find x such that x**4 + 901*x**3/4 + 49473*x**