- 432 = 0.
18
Factor 4*w**5 + 4*w**4.
4*w**4*(w + 1)
Suppose 5*j**2/4 - 21405*j/2 + 91634805/4 = 0. What is j?
4281
Factor s**5/5 - 3*s**4 + 59*s**3/5 - 97*s**2/5 + 72*s/5 - 4.
(s - 10)*(s - 2)*(s - 1)**3/5
Determine b so that 3*b**2 + 4173*b + 4170 = 0.
-1390, -1
Factor -3*s**2 - 700*s - 233.
-(s + 233)*(3*s + 1)
Suppose 5*u**2/6 + 165*u/2 + 245/3 = 0. Calculate u.
-98, -1
Determine l, given that 2*l**5 - 26*l**4/7 - 4*l**3/7 + 4*l**2 - 10*l/7 - 2/7 = 0.
-1, -1/7, 1
Factor -j**4/2 + 5*j**3/2 - j**2 - 4*j.
-j*(j - 4)*(j - 2)*(j + 1)/2
Determine j so that j**5/6 + 35*j**4/3 + 76*j**3 + 479*j**2/3 + 823*j/6 + 42 = 0.
-63, -4, -1
Determine s so that -2*s**4 - 6*s**3 - 2*s**2 + 6*s + 4 = 0.
-2, -1, 1
Factor 3*b**3 + 6912*b**2 + 3981312*b.
3*b*(b + 1152)**2
Suppose -2*i**4 + 48*i**3 - 46*i**2 = 0. What is i?
0, 1, 23
Factor 50*u**2/9 + 50*u/9 + 4/3.
2*(5*u + 2)*(5*u + 3)/9
Suppose 5*g**2 + 65*g - 840 = 0. What is g?
-21, 8
Factor 3*j**4/7 - 1788*j**3/7 + 268194*j**2/7 - 531036*j/7 + 264627/7.
3*(j - 297)**2*(j - 1)**2/7
Suppose -2*s**3/9 - 64*s**2/9 - 62*s/9 = 0. What is s?
-31, -1, 0
Solve 2*p**2 - 10*p - 28 = 0 for p.
-2, 7
Factor -4*l**3 + 44*l**2 + 100*l + 52.
-4*(l - 13)*(l + 1)**2
Factor -x**2/4 + 33*x/2 - 32.
-(x - 64)*(x - 2)/4
Determine k, given that 3*k**4 + 18*k**3 + 21*k**2 - 18*k - 24 = 0.
-4, -2, -1, 1
Let -4*h**5/7 + 60*h**4/7 - 324*h**3/7 + 108*h**2 - 648*h/7 = 0. What is h?
0, 3, 6
Determine n so that -6*n**5 - 56*n**4 + 50*n**3 + 100*n**2 = 0.
-10, -1, 0, 5/3
Let 2*p**4/3 + 320*p**3/3 + 6400*p**2 + 512000*p/3 + 5120000/3 = 0. Calculate p.
-40
What is z in z**3/6 + 10*z**2/3 - 47*z/6 - 11 = 0?
-22, -1, 3
Find d, given that 39*d**4/7 + 123*d**3/7 + 135*d**2/7 + 57*d/7 + 6/7 = 0.
-1, -2/13
Factor -5*p**3 + 75*p**2 - 360*p + 540.
-5*(p - 6)**2*(p - 3)
Factor j**5 - 5*j**4 + 4*j**3 + 16*j**2 - 32*j + 16.
(j - 2)**3*(j - 1)*(j + 2)
Let -2*l**2 - 80*l + 1650 = 0. Calculate l.
-55, 15
Factor 3*b**5 + 84*b**4 + 849*b**3 + 3480*b**2 + 3264*b - 7680.
3*(b - 1)*(b + 5)*(b + 8)**3
Factor -5*g**2 + 35*g.
-5*g*(g - 7)
Solve 2*q**2 + 332*q + 13778 = 0 for q.
-83
Solve -2*d**3 + 4*d**2/9 + 18*d - 4 = 0 for d.
-3, 2/9, 3
Factor s**2/2 + 144*s + 287/2.
(s + 1)*(s + 287)/2
Factor -3*y**3/2 + 9*y**2/2 + 27*y.
-3*y*(y - 6)*(y + 3)/2
Factor -2*h**3/7 - 12*h**2/7 - 10*h/7.
-2*h*(h + 1)*(h + 5)/7
Factor 2*y**5/5 + 2*y**4/5 - 4*y**3/5 - 4*y**2/5 + 2*y/5 + 2/5.
2*(y - 1)**2*(y + 1)**3/5
Suppose 3*m**5/5 - 27*m**4/5 + 69*m**3/5 - 9*m**2 = 0. What is m?
0, 1, 3, 5
Determine n so that -n**4/3 + 68*n**3/3 - 934*n**2/3 - 2516*n - 4107 = 0.
-3, 37
Factor r**4/2 - 2*r**3 + 3*r**2/2.
r**2*(r - 3)*(r - 1)/2
Factor 2*z**2/5 + 5476*z/5 + 3748322/5.
2*(z + 1369)**2/5
Let b**4 + 26*b**3 + 209*b**2 + 484*b = 0. Calculate b.
-11, -4, 0
Determine c so that 80*c**4 - 440*c**3 + 205*c**2 - 25*c = 0.
0, 1/4, 5
Let 2*r**2/7 - 2882*r/7 - 412 = 0. Calculate r.
-1, 1442
Factor -2*y**2/3 + 4832*y/3 - 1610.
-2*(y - 2415)*(y - 1)/3
Factor -3*s**3 - 84*s**2 - 576*s.
-3*s*(s + 12)*(s + 16)
Factor -v**4/6 - 7*v**3/6 - 8*v**2/3 - 2*v.
-v*(v + 2)**2*(v + 3)/6
Find x such that 4*x**3 - 156*x**2 - 160*x = 0.
-1, 0, 40
Let 404*p**3 + 13340*p**2 - 13472*p - 272 = 0. Calculate p.
-34, -2/101, 1
Factor a**5/6 + 8*a**4 + 221*a**3/6 + 127*a**2/3 - 30*a - 172/3.
(a - 1)*(a + 2)**3*(a + 43)/6
Factor -2*q**4 + 18*q**3 + 6*q**2 - 50*q - 36.
-2*(q - 9)*(q - 2)*(q + 1)**2
Find a such that -2*a**5 - 146*a**4 + 608*a**3 - 616*a**2 = 0.
-77, 0, 2
Let -2*n**5/7 - 10*n**4/7 - 8*n**3/7 + 32*n**2/7 + 64*n/7 + 32/7 = 0. What is n?
-2, -1, 2
Factor -5*v**4 + 5*v**3 + 115*v**2 + 15*v - 450.
-5*(v - 5)*(v - 2)*(v + 3)**2
Factor -b**3/9 + 329*b**2/9 - 8965*b/3 - 3025.
-(b - 165)**2*(b + 1)/9
Factor -3*w**3 + 21*w**2 + 84*w + 60.
-3*(w - 10)*(w + 1)*(w + 2)
Determine j, given that 2*j**5 - 16*j**4 + 50*j**3 - 76*j**2 + 56*j - 16 = 0.
1, 2
Factor 2*s**4 - 2*s**3 - 8*s**2 + 8*s.
2*s*(s - 2)*(s - 1)*(s + 2)
Factor -5*x**2 - 105*x - 190.
-5*(x + 2)*(x + 19)
Suppose -4*w**5/5 + 216*w**4/5 - 1856*w**3/5 + 4184*w**2/5 + 372*w - 880 = 0. What is w?
-1, 1, 5, 44
Let -2*x**4 + 366*x**3 - 15792*x**2 - 88360*x = 0. What is x?
-5, 0, 94
Let -2*p**3/17 + 1214*p**2/17 - 183616*p/17 - 184832/17 = 0. What is p?
-1, 304
Factor 8*r**2 - 70*r - 18.
2*(r - 9)*(4*r + 1)
Factor -2*u**2 + 664*u.
-2*u*(u - 332)
Find f, given that -10*f**4 + 73*f**3/2 - 41*f**2/2 + 3*f = 0.
0, 1/4, 2/5, 3
Find i, given that i**3/9 + 26*i**2/9 + 64*i/3 + 32 = 0.
-12, -2
Factor -3*b**3 + 53*b**2 + 218*b - 168.
-(b - 21)*(b + 4)*(3*b - 2)
Determine t, given that 5*t**2 - 935*t = 0.
0, 187
What is a in 3*a**2 - 441*a + 1296 = 0?
3, 144
Find m, given that 2*m**5/3 - 2*m**4/3 - 14*m**3/3 + 2*m**2/3 + 4*m = 0.
-2, -1, 0, 1, 3
Let -3*z**5/2 + 49*z**4 - 61*z**3/2 - 49*z**2 + 32*z = 0. What is z?
-1, 0, 2/3, 1, 32
Find i such that -25*i**5 - 70*i**4 + 131*i**3 + 32*i**2 - 52*i - 16 = 0.
-4, -2/5, 1
Find u, given that 83*u**4/3 + 27*u**3 - 334*u**2/3 - 108*u + 8/3 = 0.
-2, -1, 2/83, 2
Suppose -3*s**2 + 333*s - 8520 = 0. What is s?
40, 71
Solve 2*z**2 + 102*z + 100 = 0 for z.
-50, -1
Find t, given that -3*t**3 + 30*t**2 - 69*t + 42 = 0.
1, 2, 7
Factor -3*b**4/7 + 129*b**3/7.
-3*b**3*(b - 43)/7
Factor -5*u**3 + 200*u**2 - 2340*u + 6480.
-5*(u - 18)**2*(u - 4)
What is a in 4*a**5/9 - 22*a**4/9 + 34*a**3/9 + 4*a**2/9 - 40*a/9 + 16/9 = 0?
-1, 1/2, 2
Let 4*p**4 + 354*p**3 + 862*p**2 + 168*p - 344 = 0. What is p?
-86, -2, -1, 1/2
Factor -u**3 - 38*u**2 - 101*u + 140.
-(u - 1)*(u + 4)*(u + 35)
What is b in 2*b**4/15 - 14*b**3/3 - 186*b**2/5 - 414*b/5 - 252/5 = 0?
-3, -1, 42
Factor -4*r**2/9 - 8*r/9 + 20/3.
-4*(r - 3)*(r + 5)/9
Factor 4*f**3 - 2364*f**2 + 465708*f - 30581492.
4*(f - 197)**3
Let 3*t**5 + 201*t**4 + 1557*t**3 - 609*t**2 - 5100*t - 3132 = 0. What is t?
-58, -9, -1, 2
Find s, given that -5*s**3/2 - 5*s**2 + 95*s/2 + 50 = 0.
-5, -1, 4
Factor 20*q**2/7 - 52*q + 72/7.
4*(q - 18)*(5*q - 1)/7
Let -h**3/5 + 11*h**2/5 - 24*h/5 = 0. What is h?
0, 3, 8
Solve -2*x**2/5 - 108*x/5 - 1458/5 = 0.
-27
What is z in 16*z**4 + 190*z**3 + 744*z**2 + 928*z - 128 = 0?
-4, 1/8
Let j**2 + 2*j + 1 = 0. What is j?
-1
Suppose -b**5 - 7*b**4 - 9*b**3 + 27*b**2 + 54*b = 0. What is b?
-3, 0, 2
Find l such that l**3/5 + 19*l**2/5 + 34*l/5 = 0.
-17, -2, 0
Find c, given that -c**5/6 - c**4 + c**3/6 + 5*c**2 = 0.
-5, -3, 0, 2
Suppose p**3/3 + 17*p**2/3 - 104*p/3 + 44 = 0. Calculate p.
-22, 2, 3
Solve -5*p**3 - 75*p**2 + 1440*p + 21760 = 0.
-16, 17
Factor 8*r**5 - 76*r**4 + 152*r**3 + 352*r**2 - 896*r - 512.
4*(r - 4)**3*(r + 2)*(2*r + 1)
Suppose 2*s**5 - 20*s**4 + 74*s**3 - 128*s**2 + 104*s - 32 = 0. What is s?
1, 2, 4
Let -r**2/3 + 7*r/3 + 10 = 0. What is r?
-3, 10
Let -5*g**4/3 - 180*g**3 - 2450*g**2 + 816340*g/3 + 7647185 = 0. Calculate g.
-49, 39
Determine b so that 2*b**3 - 102*b**2 + 96*b + 200 = 0.
-1, 2, 50
Determine w so that 14*w**4/5 - 18*w**3/5 - 108*w**2/5 + 40*w - 48/5 = 0.
-3, 2/7, 2
Find z such that -z**4/12 - 29*z**3/3 + z**2/12 + 29*z/3 = 0.
-116, -1, 0, 1
Find v, given that -v**5/5 - 4*v**4/5 + 12*v**3/5 - 2*v**2/5 - 11*v/5 + 6/5 = 0.
-6, -1, 1
Determine u, given that 205*u**4/4 - 203*u**3/4 - u**2/2 = 0.
-2/205, 0, 1
Factor 3*m**3/7 - 9*m**2 + 63*m - 147.
3*(m - 7)**3/7
Factor -t**5 - 7*t**4 - 18*t**3 - 20*t**2 - 8*t.
-t*(t + 1)*(t + 2)**3
Factor 4*j**5 + 28*j**4 + 32*j**3 - 64*j**2.
4*j**2*(j - 1)*(j + 4)**2
Factor -3*u**5 - 63*u**4 + 66*u**3.
-3*u**3*(u - 1)*(u + 22)
Factor 245*r**5 - 630*r**4 + 300*r**3 - 40*r**2.
5*r**2*(r - 2)*(7*r - 2)**2
Factor i**2/4 + 19*i/2 - 39/4.
(i - 1)*(i + 39)/4
Factor b**3/2 - 9*b**2/2 + 10*b - 6.
(b - 6)*(b - 2)*(b - 1)/2
Find k, given that -2*k**2/19 + 16*k/19 - 24/19 = 0.
2, 6
Factor j**3/3 + 28*j**2/3 - 124*j/3 + 128/3.
(j - 2)**2*(j + 32)/3
Find l, given that 10*l**2 + 615*l - 310 = 0.
-62, 1/2
Determine n, given that n**2/3 + 49*n/3 + 94/3 = 0.
-47, -2
Factor -5*h**3 + 1565*h**2 - 118455*h - 632025.
-5*(h - 159)**2*(h + 5)
Suppose -4*j**2 - 3384*j = 0. What is j?
-846, 0
Factor 3*n**2 - 87*n + 84.
3*(n - 28)*(n - 1)
Factor -2*s**2/3 + 34*s/3 + 76/3.
-2*(s - 19)*(s + 2)/3
Factor w**4/6 + w**3/2 - 5*w**2/6 - w/2 + 2/3.
(w - 1)**2*(w + 1)*(w + 4)/6
Determine z, given that -4*z**4 - 24*z**3 - 28*z**2 + 24*z + 32 = 0.
-4, -2, -1, 1
Facto