, 2
Determine i so that 2*i**2/13 + 84*i - 1094/13 = 0.
-547, 1
Determine p, given that p**5/3 + 5*p**4/3 + 4*p**3/3 - 16*p**2/3 - 32*p/3 - 16/3 = 0.
-2, -1, 2
Factor -o**2/5 + 52*o/5 - 676/5.
-(o - 26)**2/5
Factor -4*x**2 + 1020*x - 9800.
-4*(x - 245)*(x - 10)
Factor 4*x**3 - 220*x**2 + 2664*x.
4*x*(x - 37)*(x - 18)
Solve -3*a**3 - 330*a**2 - 321*a + 654 = 0 for a.
-109, -2, 1
Factor -x**3/3 - 35*x**2/3.
-x**2*(x + 35)/3
Factor -z**5/5 - 2*z**4/5 + 3*z**3/5.
-z**3*(z - 1)*(z + 3)/5
What is f in -49*f**3/5 + 385*f**2 - 547*f/5 + 39/5 = 0?
1/7, 39
Suppose -4*n**2 - 2224*n - 309136 = 0. What is n?
-278
What is x in -5*x**2/4 + 29125*x/2 - 169653125/4 = 0?
5825
Determine p, given that 2*p**2/3 + 140*p/3 + 816 = 0.
-36, -34
Solve -2*c**3/11 + 26*c**2/11 + 28*c/11 = 0 for c.
-1, 0, 14
Factor -y**2/4 + 123*y/2 + 2295/4.
-(y - 255)*(y + 9)/4
Let -5*v**3 - 900*v**2 + 5615*v + 6510 = 0. Calculate v.
-186, -1, 7
Factor 20*n**4 + 515*n**3 - 130*n**2.
5*n**2*(n + 26)*(4*n - 1)
Factor -4*p**2 + 364*p + 744.
-4*(p - 93)*(p + 2)
Let -6*b**5/7 + 32*b**4 - 2230*b**3/7 + 2516*b**2/7 + 792*b/7 - 1296/7 = 0. Calculate b.
-2/3, 1, 18
Solve -10*d**5 + 46*d**4 + 60*d**3 - 184*d**2 - 80*d = 0 for d.
-2, -2/5, 0, 2, 5
Suppose 2601*n**2/4 - 255*n + 25 = 0. Calculate n.
10/51
Factor 4*u**3 - 151*u**2 + 110*u + 37.
(u - 37)*(u - 1)*(4*u + 1)
Factor -3*n**4 + 57*n**2 - 90*n.
-3*n*(n - 3)*(n - 2)*(n + 5)
Factor -9*q**2 + 23*q - 14.
-(q - 1)*(9*q - 14)
Factor 2*h**3 + 22*h**2 - 336*h - 3744.
2*(h - 13)*(h + 12)**2
Determine i so that -2*i**3/9 + 512*i**2/9 - 1006*i/3 + 500 = 0.
3, 250
Factor 3*a**2/5 + 474*a/5 + 18723/5.
3*(a + 79)**2/5
Factor -2*u**5/7 - 16*u**4/7 - 6*u**3 - 36*u**2/7.
-2*u**2*(u + 2)*(u + 3)**2/7
Factor 5*v**3 + 410*v**2 + 2915*v - 3330.
5*(v - 1)*(v + 9)*(v + 74)
Factor -2*y**4 - 992*y**3 - 1978*y**2 - 988*y.
-2*y*(y + 1)**2*(y + 494)
Factor 8*l**5 - 28*l**4 - 60*l**3 + 68*l**2 + 164*l + 72.
4*(l - 2)*(l + 1)**3*(2*l - 9)
Factor -3*g**4/2 + 72*g**3.
-3*g**3*(g - 48)/2
Let -15*d**3/2 - 325*d**2/6 - 305*d/3 - 20 = 0. Calculate d.
-4, -3, -2/9
Factor a**3 + 115*a**2 + 3127*a - 10443.
(a - 3)*(a + 59)**2
Solve 2*l**3 - 14*l**2 - 36*l = 0.
-2, 0, 9
Factor 4*a**2/5 - 264*a/5 - 2368/5.
4*(a - 74)*(a + 8)/5
Determine z, given that -z**4/6 - 13*z**3/2 - 19*z**2/3 = 0.
-38, -1, 0
Factor -4*x**2/3 - 252*x + 768.
-4*(x - 3)*(x + 192)/3
Factor 5*b**4 + 280*b**3 - 6630*b**2 + 36720*b - 30375.
5*(b - 9)**2*(b - 1)*(b + 75)
Factor 2*p**2 + 22780*p + 64866050.
2*(p + 5695)**2
What is o in -2*o**2/11 - 378*o/11 = 0?
-189, 0
Factor -g**2/4 + 209*g/4 + 105/2.
-(g - 210)*(g + 1)/4
Determine b so that -b**2/2 + 69*b/2 + 35 = 0.
-1, 70
Factor z**2/3 + 4888*z/3 + 5973136/3.
(z + 2444)**2/3
Factor -2*w**3 - 108*w**2 - 1560*w - 2704.
-2*(w + 2)*(w + 26)**2
Factor 4*s**3/5 + 8*s**2 + 32*s/5 - 256/5.
4*(s - 2)*(s + 4)*(s + 8)/5
Factor -9*f**4 + 6*f**3 + 8*f**2 - 6*f + 1.
-(f - 1)*(f + 1)*(3*f - 1)**2
Suppose -3*w**4/2 + 291*w**3/2 - 573*w**2/2 + 285*w/2 = 0. Calculate w.
0, 1, 95
Find h, given that 3*h**5/5 + 144*h**4/5 + 543*h**3/5 + 666*h**2/5 + 264*h/5 = 0.
-44, -2, -1, 0
Factor 3*s**2/4 + 600*s + 120000.
3*(s + 400)**2/4
Determine z, given that -2*z**4/13 + 14*z**3/13 + 86*z**2/13 - 230*z/13 - 300/13 = 0.
-5, -1, 3, 10
Factor -3*i**5 + 6*i**4 + 6*i**3 - 24*i**2 + 21*i - 6.
-3*(i - 1)**4*(i + 2)
What is o in -2*o**2 - 316*o + 1968 = 0?
-164, 6
What is m in -2*m**5 - 152*m**4/3 - 1160*m**3/3 - 3100*m**2/3 - 2674*m/3 - 196 = 0?
-14, -7, -3, -1, -1/3
Factor t**5 - 6*t**4 - 3*t**3 + 56*t**2 - 12*t - 144.
(t - 4)*(t - 3)**2*(t + 2)**2
Determine b so that 2*b**4 - 26*b**3 + 24*b**2 = 0.
0, 1, 12
Factor -2*s**2 - 22*s - 20.
-2*(s + 1)*(s + 10)
Factor 4*a**2/3 + 2780*a/3 - 5576/3.
4*(a - 2)*(a + 697)/3
Factor 3*h**5 - 15*h**4 - 63*h**3 - 69*h**2 - 24*h.
3*h*(h - 8)*(h + 1)**3
Let k**5 - 4*k**4 + k**3 + 10*k**2 - 4*k - 8 = 0. Calculate k.
-1, 2
Solve -y**4 + 26*y**3 - 25*y**2 = 0 for y.
0, 1, 25
Find u, given that 5*u**3 - 34*u**2 + 71*u - 42 = 0.
1, 14/5, 3
Factor -n**4/2 - 9*n**3/2 + 54*n.
-n*(n - 3)*(n + 6)**2/2
Solve y**5/5 + 11*y**4/5 + 24*y**3/5 = 0.
-8, -3, 0
Factor 4*i**4 - 16*i**3 - 76*i**2 - 56*i.
4*i*(i - 7)*(i + 1)*(i + 2)
Factor -b**4 + 74*b**3 + 156*b**2 - 296*b - 608.
-(b - 76)*(b - 2)*(b + 2)**2
Let 12*d**2 + 44*d - 520 = 0. What is d?
-26/3, 5
Factor -2*u**4/3 + 8*u**3/3 + 2*u**2/3 - 8*u/3.
-2*u*(u - 4)*(u - 1)*(u + 1)/3
Find y, given that -2*y**3 + 14*y**2 = 0.
0, 7
What is k in 2*k**5/13 - 6*k**4/13 - 4*k**3/13 + 24*k**2/13 - 16*k/13 = 0?
-2, 0, 1, 2
Determine k so that -k**3/2 + 23*k**2/2 - 11*k = 0.
0, 1, 22
Let -3*o**5/4 + 15*o**4/4 + 123*o**3/4 + 249*o**2/4 + 51*o + 15 = 0. Calculate o.
-2, -1, 10
What is f in -f**3 - 5*f**2 + 12*f + 36 = 0?
-6, -2, 3
Factor -z**5/6 - z**4/2 + 25*z**3 + 301*z**2/3 - 1911*z/2 - 9261/2.
-(z - 9)**2*(z + 7)**3/6
Factor -4*m**5/3 - 28*m**4/3 - 20*m**3 - 52*m**2/3 - 16*m/3.
-4*m*(m + 1)**3*(m + 4)/3
Factor 5*l**2 - 100*l + 255.
5*(l - 17)*(l - 3)
Factor -a**4/2 - 8*a**3 + 18*a**2.
-a**2*(a - 2)*(a + 18)/2
Suppose 25*j**3 - 760*j**2 + 300*j = 0. What is j?
0, 2/5, 30
Factor 4*a**2 - 28*a + 24.
4*(a - 6)*(a - 1)
Factor -39*j**2 - 18*j.
-3*j*(13*j + 6)
Suppose 10*w**4 - 65*w**3 + 115*w**2 - 60*w = 0. What is w?
0, 1, 3/2, 4
Factor 3*k**4 - 3*k**3 - 36*k**2 - 12*k + 48.
3*(k - 4)*(k - 1)*(k + 2)**2
Let r**2/2 + 21*r - 135/2 = 0. Calculate r.
-45, 3
Factor 2*n**2/3 + 106*n + 628/3.
2*(n + 2)*(n + 157)/3
Factor -2*z**5/19 + 16*z**4/19 + 148*z**3/19 - 720*z**2/19 - 4050*z/19.
-2*z*(z - 9)**2*(z + 5)**2/19
Find a, given that -15*a**5 - 325*a**4 - 1015*a**3 - 435*a**2 + 270*a = 0.
-18, -3, -1, 0, 1/3
Find i such that -5*i**2 + 915*i - 910 = 0.
1, 182
Find h, given that 4*h**4/5 + 48*h**3/5 + 128*h**2/5 = 0.
-8, -4, 0
Factor 5*u**2/3 - 1613*u/3 - 646/3.
(u - 323)*(5*u + 2)/3
Suppose 3*f**4 + 27*f**3/7 - 120*f**2/7 - 36*f/7 = 0. Calculate f.
-3, -2/7, 0, 2
What is z in -z**4/2 - 9*z**3 + 111*z**2/2 - 46*z = 0?
-23, 0, 1, 4
Factor -6*t**2/11 - 16*t/11 + 6/11.
-2*(t + 3)*(3*t - 1)/11
Suppose -8*z**2 + 102*z + 26 = 0. Calculate z.
-1/4, 13
Factor 2*w**3/3 - 102*w**2 - 206*w - 310/3.
2*(w - 155)*(w + 1)**2/3
Determine a so that -3*a**3 + 9*a**2 - 9*a + 3 = 0.
1
Determine l, given that -2*l**4/7 - 18*l**3/7 - 20*l**2/7 + 72*l/7 + 16 = 0.
-7, -2, 2
Factor j**2 - 4*j + 3.
(j - 3)*(j - 1)
Find l such that l**2/6 + l/6 = 0.
-1, 0
Solve j**3 + 23*j**2 + 120*j - 144 = 0 for j.
-12, 1
Factor -3*j**3/5 + 18*j**2/5 + 1641*j/5 + 324.
-3*(j - 27)*(j + 1)*(j + 20)/5
Factor -55*r**2 - 60*r - 5.
-5*(r + 1)*(11*r + 1)
Let -2*p**4 - 4*p**3 + 208*p**2 - 384*p = 0. Calculate p.
-12, 0, 2, 8
Factor 5*d**2 - 585*d.
5*d*(d - 117)
Factor 2*d**4/17 - 32*d**3/17 - 4*d**2/17 + 1056*d/17 + 2178/17.
2*(d - 11)**2*(d + 3)**2/17
Suppose 3*x**3/7 + 24*x**2/7 + 36*x/7 = 0. What is x?
-6, -2, 0
Find f such that -3*f**2 - 123*f - 120 = 0.
-40, -1
Find l such that -3*l**2 - 66*l - 120 = 0.
-20, -2
Factor -3*m**5/5 - 1206*m**4/5 - 181194*m**3/5 - 11996376*m**2/5 - 287453979*m/5 + 624362406/5.
-3*(m - 2)*(m + 101)**4/5
Factor 2*k**3 - 234*k**2 - 960*k - 968.
2*(k - 121)*(k + 2)**2
Let 2*j**2 - 1960*j + 480200 = 0. What is j?
490
Factor -5*m**3 + 160*m**2 + 905*m + 740.
-5*(m - 37)*(m + 1)*(m + 4)
Factor 6*d**2 - 586*d + 388.
2*(d - 97)*(3*d - 2)
Factor 2*k**3/17 - 56*k**2/17 + 26*k - 676/17.
2*(k - 13)**2*(k - 2)/17
Factor 2*b**3/9 + 884*b**2/3 + 390728*b/3 + 172701776/9.
2*(b + 442)**3/9
Factor 3*s**2/7 + 90*s/7.
3*s*(s + 30)/7
Solve 10*u**3/3 - u**2/3 - 10*u/3 + 1/3 = 0.
-1, 1/10, 1
Determine x so that -4*x**3 - 136*x**2 + 1040*x + 48672 = 0.
-26, 18
Factor -2*x**3/19 + 6*x/19 + 4/19.
-2*(x - 2)*(x + 1)**2/19
Factor -2*x**4/11 - 326*x**3/11 - 10008*x**2/11 - 113184*x/11 - 438912/11.
-2*(x + 12)**3*(x + 127)/11
Find h, given that -2*h**3 + 482*h**2 + 7140*h = 0.
-14, 0, 255
Determine l, given that 3*l**2 - 63*l + 240 = 0.
5, 16
Factor c**3/2 - 11*c**2/2 + 13*c - 8.
(c - 8)*(c - 2)*(c - 1)/2
Find w, given that -w**4 - 4*w**3 + 5*w**2 = 0.
-5, 0, 1
Factor 2*r**2/11 - 888*r/11.
2*r*(r - 444)/11
Let l**5/3 + 13*l**4/3 - l**3 - 37*l**2/3 + 26*l/3 = 0. Calculate l.
-13, -2, 0, 1
Find y such that y**3/8 + 3*y**2/4 + 11*y/8 + 3/4 = 0.
-3, -2, -1
Factor -r**2/5 - 114*r/5 - 3249/5.
-(r + 57)