
Factor 2*r**5/5 + 54*r**4/5 + 54*r**3/5 - 3942*r**2/5 + 15552*r/5 - 17496/5.
2*(r - 3)**3*(r + 18)**2/5
Let 4*k**2/9 + 6200*k/9 + 2402500/9 = 0. Calculate k.
-775
Let 4*o**3 + 11*o**2 + 5*o - 2 = 0. What is o?
-2, -1, 1/4
Find x such that -x**3 + 245*x**2 - 14632*x - 46128 = 0.
-3, 124
Factor q**2 + 4*q.
q*(q + 4)
Factor -b**5/4 - b**4 - 5*b**3/4 - b**2/2.
-b**2*(b + 1)**2*(b + 2)/4
Let -3*l**5/5 - 39*l**4/5 - 93*l**3/5 - 21*l**2/5 + 96*l/5 + 12 = 0. What is l?
-10, -2, -1, 1
Let -4*p**5 + 26*p**4 + 52*p**3 - 32*p**2 = 0. What is p?
-2, 0, 1/2, 8
Let 33*p**3/2 + 96*p**2 - 267*p/2 + 21 = 0. Calculate p.
-7, 2/11, 1
Find f, given that 5*f**4 - 4705*f**3 + 1483560*f**2 - 159157440*f + 759283200 = 0.
5, 312
Factor 2*w**3 - 182*w**2 - 370*w - 186.
2*(w - 93)*(w + 1)**2
Factor k**2/3 - 62*k/3.
k*(k - 62)/3
What is b in -12*b**4 + 405*b**3 - 1038*b**2 + 459*b + 186 = 0?
-1/4, 1, 2, 31
Let q**2/3 + 1498*q/3 + 561001/3 = 0. Calculate q.
-749
Factor -2*o**3 - 72*o**2 - 840*o - 3200.
-2*(o + 10)**2*(o + 16)
Factor 20*r**3 - 4*r**2 + r/5.
r*(10*r - 1)**2/5
Factor m**2/4 - 283*m/4.
m*(m - 283)/4
Suppose -q**3/7 + 18*q**2/7 - 81*q/7 + 108/7 = 0. What is q?
3, 12
Factor 2*y**3/3 - 8*y**2/3 + 2*y.
2*y*(y - 3)*(y - 1)/3
What is m in -324*m**3/5 - 792*m**2/5 - 304*m/5 - 32/5 = 0?
-2, -2/9
Determine q so that -5*q**4 + 10*q**3 + 5*q**2 - 10*q = 0.
-1, 0, 1, 2
Factor -5*a**4 - 30*a**3 + 235*a**2 + 840*a - 3920.
-5*(a - 4)**2*(a + 7)**2
Factor 5*h**2 + 20*h + 20.
5*(h + 2)**2
What is c in 7*c**5/5 + 16*c**4/5 - 17*c**3/5 - 6*c**2/5 = 0?
-3, -2/7, 0, 1
Solve 6*q**4 + 218*q**3 + 864*q**2 + 1032*q + 256 = 0 for q.
-32, -2, -1/3
Factor v**2 - 6*v + 5.
(v - 5)*(v - 1)
Solve -27*z**5 + 255*z**4 - 716*z**3 + 404*z**2 + 416*z + 64 = 0.
-1/3, -2/9, 2, 4
Factor 2*l**3/5 - 26*l**2/15 + 34*l/15 - 14/15.
2*(l - 1)**2*(3*l - 7)/15
Solve l**5/2 - 21*l**4/2 + 115*l**3/2 - 135*l**2/2 - 58*l + 78 = 0.
-1, 1, 2, 6, 13
Factor n**5/3 - n**4/3.
n**4*(n - 1)/3
Suppose 4*y**5/7 - 300*y**4/7 + 7500*y**3/7 - 62500*y**2/7 = 0. What is y?
0, 25
Solve 3*a**2/8 + 14775*a/4 + 72766875/8 = 0.
-4925
Suppose -5*h**3/3 + 10*h**2/3 + 115*h/3 - 100 = 0. Calculate h.
-5, 3, 4
Let u**3 - 28*u**2 + 260*u - 800 = 0. Calculate u.
8, 10
Solve 10*x**5 + 6*x**4 - 2168*x**3/5 - 1368*x**2/5 + 3456*x - 13824/5 = 0 for x.
-24/5, 1, 2, 6
Find l such that -3*l**4/8 - 51*l**3/8 + 3*l**2/8 + 51*l/8 = 0.
-17, -1, 0, 1
Factor 2*c**2/5 - 988*c/5 + 122018/5.
2*(c - 247)**2/5
Factor -2*l**4/13 + 6*l**3 - 222*l**2/13 + 218*l/13 - 72/13.
-2*(l - 36)*(l - 1)**3/13
Solve -3*o**5/4 - 9*o**4/4 + 9*o**3/4 + 33*o**2/4 + 9*o/2 = 0.
-3, -1, 0, 2
Suppose 4*q**5 + 48*q**4 - 439*q**3 - 5797*q**2 - 5445*q - 1331 = 0. Calculate q.
-11, -1/2, 11
Find i such that -4*i**2 - 340*i - 336 = 0.
-84, -1
What is x in 4*x**2 - 2220*x - 2224 = 0?
-1, 556
Suppose -2*n**4/5 + 2*n**3 - 2*n**2 - 2*n + 12/5 = 0. What is n?
-1, 1, 2, 3
What is b in -10*b**2 + 1862*b - 372 = 0?
1/5, 186
Factor x**2 - 61*x + 720.
(x - 45)*(x - 16)
Determine h so that h**4 - 4*h**3 + h**2 + 6*h = 0.
-1, 0, 2, 3
Factor 4*j**2 - 100*j + 96.
4*(j - 24)*(j - 1)
Factor w**3/4 + 29*w**2/4 - 47*w/2 + 16.
(w - 2)*(w - 1)*(w + 32)/4
Factor 2*i**4/3 + 8*i**3/3 - 4*i**2 - 8*i/3 + 10/3.
2*(i - 1)**2*(i + 1)*(i + 5)/3
Find q such that -2*q**2/7 + 64*q/7 + 1938/7 = 0.
-19, 51
Determine f so that 3*f**3 + 18*f**2 - 189*f + 324 = 0.
-12, 3
Factor -5*m**3 + 41580*m**2 - 86444820*m.
-5*m*(m - 4158)**2
Solve -2*a**4 - 10*a**3 + 40*a + 32 = 0.
-4, -2, -1, 2
Let -2*x**4 - 16*x**3 + 14*x**2 + 268*x + 240 = 0. What is x?
-6, -5, -1, 4
Factor t**3/3 + 20*t**2/3 + 119*t/3 + 220/3.
(t + 4)*(t + 5)*(t + 11)/3
Let 10*o**5 + 56*o**4 + 86*o**3 + 16*o**2 - 24*o = 0. Calculate o.
-3, -2, -1, 0, 2/5
Find x such that -2*x**4 + 48*x**3 + 158*x**2 + 108*x = 0.
-2, -1, 0, 27
Factor -k**3/7 + 2*k**2 - 39*k/7 - 54/7.
-(k - 9)*(k - 6)*(k + 1)/7
Determine x so that -4*x**5 - 63*x**4 - 204*x**3 + 55*x**2 = 0.
-11, -5, 0, 1/4
Factor -3*z**4 - 39*z**3 - 69*z**2 - 33*z.
-3*z*(z + 1)**2*(z + 11)
What is t in -t**5/6 - 28*t**4/3 + t**3/3 + 56*t**2/3 - t/6 - 28/3 = 0?
-56, -1, 1
Factor i**2 + 15*i - 216.
(i - 9)*(i + 24)
Factor -2*w**3/9 + 22*w**2/9 + 80*w/9 + 56/9.
-2*(w - 14)*(w + 1)*(w + 2)/9
Let -12*z**5 - 94*z**4/3 - 64*z**3/3 + 4*z**2 + 20*z/3 + 2/3 = 0. What is z?
-1, -1/9, 1/2
Factor 2*n**3 - 88*n**2 + 1050*n - 1764.
2*(n - 21)**2*(n - 2)
What is z in -4*z**4/5 + 16*z**3/5 - 4*z**2/5 - 24*z/5 = 0?
-1, 0, 2, 3
Solve 15*z**4 - 201*z**3 + 408*z**2 - 132*z = 0 for z.
0, 2/5, 2, 11
Find x, given that 2*x**4/13 + 6*x**3/13 + 2*x**2/13 - 6*x/13 - 4/13 = 0.
-2, -1, 1
Factor -3*u**4 + 11*u**3 - 11*u**2 + u + 2.
-(u - 2)*(u - 1)**2*(3*u + 1)
Find j, given that -4*j**4 + 72*j**3 + 276*j**2 - 472*j - 672 = 0.
-4, -1, 2, 21
Determine r, given that -45*r**4 - 640*r**3 - 2120*r**2 - 2240*r - 400 = 0.
-10, -2, -2/9
Find h, given that 2*h**2/11 + 8*h/11 - 10/11 = 0.
-5, 1
Determine r so that -r**2 + 1275*r - 2546 = 0.
2, 1273
Factor w**2/3 - 44*w/3.
w*(w - 44)/3
Factor -k**2.
-k**2
What is s in -3*s**5/4 + 9*s**4 - 33*s**3/4 = 0?
0, 1, 11
Determine h, given that 2*h**4 + 34*h**3 + 76*h**2 - 496*h + 384 = 0.
-12, -8, 1, 2
Factor 3*q**4 + 81*q**3 + 222*q**2 + 144*q.
3*q*(q + 1)*(q + 2)*(q + 24)
Determine b, given that -8*b**3 - 28*b**2 + 56*b - 20 = 0.
-5, 1/2, 1
Factor -95*i**2 - 2955*i - 310.
-5*(i + 31)*(19*i + 2)
Factor 3*f**2 + 1209*f/5 - 486/5.
3*(f + 81)*(5*f - 2)/5
Suppose 2*a**2/9 - 200*a/3 + 5000 = 0. What is a?
150
Solve x**3/3 - 2*x**2/3 - x/3 + 2/3 = 0 for x.
-1, 1, 2
Factor -4*a**2/9 - 8*a/9 + 4/3.
-4*(a - 1)*(a + 3)/9
Factor 2*y**3/5 + 14*y**2/5 - 34*y/5 + 18/5.
2*(y - 1)**2*(y + 9)/5
Factor h**3/8 - h**2/8 - h/4.
h*(h - 2)*(h + 1)/8
Find n such that -23*n**2/3 - 71*n/3 - 2 = 0.
-3, -2/23
Suppose -3*m**5/7 + 12*m**4/7 + 6*m**3/7 - 24*m**2/7 - 3*m/7 + 12/7 = 0. Calculate m.
-1, 1, 4
Let 5*y**5/3 + 7*y**4/3 - 5*y**3 - 11*y**2/3 + 14*y/3 = 0. Calculate y.
-2, -7/5, 0, 1
Determine l so that -3*l**4 + 33*l**3 = 0.
0, 11
Factor 9*i**3/8 + 5151*i**2/8 + 857*i + 571/2.
(i + 571)*(3*i + 2)**2/8
Solve -4*c**5 + 76*c**4 - 264*c**3 - 1424*c**2 + 3680*c + 9600 = 0.
-3, -2, 4, 10
Determine r so that -4*r**4/3 + 2*r**3 + 6*r**2 = 0.
-3/2, 0, 3
Factor k**2/3 - 11*k/3 - 34.
(k - 17)*(k + 6)/3
Factor -q**2 - 2*q + 24.
-(q - 4)*(q + 6)
Let -2*i**4/11 + 84*i**3/11 - 488*i**2/11 - 84*i/11 + 490/11 = 0. Calculate i.
-1, 1, 7, 35
Factor -4*z**5 - 44*z**4 - 96*z**3.
-4*z**3*(z + 3)*(z + 8)
Find l such that -5*l**2 + 95*l - 90 = 0.
1, 18
What is y in -2*y**4/13 + 18*y**3/13 + 2*y**2/13 - 18*y/13 = 0?
-1, 0, 1, 9
What is w in -w**4 + 28*w**3 + 139*w**2 - 358*w + 192 = 0?
-6, 1, 32
Solve 39*s**3 + 63*s**2 - 84*s - 108 = 0 for s.
-2, -1, 18/13
Find c such that 2*c**2/7 - 44*c/7 + 80/7 = 0.
2, 20
Factor i**2 - 26*i - 615.
(i - 41)*(i + 15)
Solve s**2/2 + 859*s/4 - 1293/4 = 0.
-431, 3/2
Let i**4 - 19*i**3 - i**2 + 19*i = 0. What is i?
-1, 0, 1, 19
Determine a so that 242*a**4/17 - 154*a**3/17 - 80*a**2/17 - 8*a/17 = 0.
-2/11, 0, 1
Solve 4*l**5 + 24*l**4 + 36*l**3 - 16*l**2 - 48*l = 0 for l.
-3, -2, 0, 1
Factor r**4/3 - 10*r**3/3 - 24*r**2 + 270*r - 243.
(r - 9)**2*(r - 1)*(r + 9)/3
Factor -4*a**2 + 12*a + 40.
-4*(a - 5)*(a + 2)
Factor -4*j**2/5 + 596*j/5 - 576.
-4*(j - 144)*(j - 5)/5
Determine j so that -j**3/2 - 11*j**2/2 + 25*j/2 - 13/2 = 0.
-13, 1
Factor -c**4/3 - 14*c**3/3 + 77*c**2/3 + 30*c.
-c*(c - 5)*(c + 1)*(c + 18)/3
Factor -4*q**4 - 48*q**3 + 780*q**2 + 9464*q.
-4*q*(q - 14)*(q + 13)**2
Let -s**4 - 13*s**3 + 15*s**2 + 13*s - 14 = 0. Calculate s.
-14, -1, 1
Determine j, given that -j**5 + 7655*j**4 - 23439610*j**3 + 35886042910*j**2 - 27470765847605*j + 8411548502536651 = 0.
1531
Determine w so that -3*w**2/8 + 399*w - 106134 = 0.
532
Let -o**2 + 15*o - 26 = 0. Calculate o.
2, 13
Factor 4*q**3 + 2848*q**2 + 495360*q - 4147200.
4*(q - 8)*(q + 360)**2
Factor -m**2 + 2567*m + 2568.
-(m - 2568)*(m + 1)
Factor 2*b**2/5 + 6*b/5.
2*b*(b + 3)/5
Let 5*a**2 - 20*a = 0. What is a?
0, 4
Let -2*l**3/7 + 982*l**2/7 - 1958*l/7 + 978/7 = 0. Calculate l.
1, 489
Factor j**4/4 + 9*j**3/4 - 17*j**2/2 + 6*j.
j*(j - 2)*(j - 1)*(j + 12)/4
Factor -a**3/6 - 107*a**2/6 - 208*a/3 - 206/3.
-(a + 2)**2*(a + 103)/6
Factor -3*a**3/8 + 477*a**2/8 - 2457*a + 136