r -2*z**2/13 - 22*z/13 + 304/13.
-2*(z - 8)*(z + 19)/13
Let -30*g**5 + 69*g**4 + 12*g**3 - 69*g**2 + 18*g = 0. What is g?
-1, 0, 3/10, 1, 2
Let -34*b**4/5 - 728*b**3 - 214*b**2/5 = 0. What is b?
-107, -1/17, 0
Factor 4*d**3/11 - 6*d**2/11 - 10*d/11.
2*d*(d + 1)*(2*d - 5)/11
Factor -2*b**3/3 - 10*b**2/3 - 14*b/3 - 2.
-2*(b + 1)**2*(b + 3)/3
Solve 245*g**5 + 1155*g**4 + 635*g**3 - 255*g**2 + 20*g = 0 for g.
-4, -1, 0, 1/7
Let -28*j**2/9 - 284*j/9 - 40/9 = 0. What is j?
-10, -1/7
Factor n**2/3 + 286*n.
n*(n + 858)/3
Factor -o**2/2 + 379*o/2.
-o*(o - 379)/2
Factor 2*t**4/5 - 4*t**3/5 - 6*t**2/5 + 16*t/5 - 8/5.
2*(t - 2)*(t - 1)**2*(t + 2)/5
Let 12*d**5 + 56*d**4 + 28*d**3 - 16*d**2 = 0. Calculate d.
-4, -1, 0, 1/3
Solve -2*v**5/9 - 2*v**4/9 + 10*v**3/9 + 2*v**2/9 - 16*v/9 + 8/9 = 0.
-2, 1
Factor 9*q**3/5 - 24*q**2/5 - 9*q/5.
3*q*(q - 3)*(3*q + 1)/5
Factor 4*x**2 + 6204*x - 6208.
4*(x - 1)*(x + 1552)
Determine h, given that 2*h**3/5 - 2*h**2/5 - 2*h/5 + 2/5 = 0.
-1, 1
Let 3*o**2/8 - 429*o/8 + 213/4 = 0. What is o?
1, 142
Determine s so that s**3/5 - 155*s**2 + 1547*s/5 - 773/5 = 0.
1, 773
Factor 2*v**3/7 - 156*v**2/7 + 2992*v/7.
2*v*(v - 44)*(v - 34)/7
Factor 5*p**3/6 - 35*p**2/3 + 35*p/2 + 30.
5*(p - 12)*(p - 3)*(p + 1)/6
Determine a so that -2*a**2/11 + 2*a/11 = 0.
0, 1
Solve 2*j**5/13 - 4*j**4/13 - 214*j**3/13 + 392*j**2/13 + 1400*j/13 + 800/13 = 0 for j.
-10, -1, 4, 10
Factor 2*w**2/5 - 48*w/5.
2*w*(w - 24)/5
Factor -4*i**5/9 + 112*i**4/3 - 328*i**3/3 + 976*i**2/9 - 36*i.
-4*i*(i - 81)*(i - 1)**3/9
What is w in 4*w**5 - 52*w**4 + 220*w**3 - 284*w**2 - 160*w + 400 = 0?
-1, 2, 5
Solve -4*x**2/5 + 1308*x/5 - 5168/5 = 0 for x.
4, 323
Factor y**4 + 9*y**3 + 14*y**2.
y**2*(y + 2)*(y + 7)
Factor 3*i**3/5 - 117*i**2/5 + 1521*i/5 - 6591/5.
3*(i - 13)**3/5
Determine o, given that o**3/2 + 887*o**2 + 3545*o/2 + 886 = 0.
-1772, -1
Let -2*h**2/5 + 1488*h/5 - 276768/5 = 0. What is h?
372
Factor w**3/2 - 5*w**2 + 14*w - 12.
(w - 6)*(w - 2)**2/2
Suppose 25*u**2 - 380*u + 75 = 0. What is u?
1/5, 15
Find s, given that 4*s**2/5 - 41152*s/5 + 105842944/5 = 0.
5144
Factor 3*y**3 - 1077*y**2 + 97197*y - 96123.
3*(y - 179)**2*(y - 1)
Factor 13*n**2/3 - 118*n/3 + 3.
(n - 9)*(13*n - 1)/3
Let -5*c**2 + 6390*c + 6395 = 0. What is c?
-1, 1279
Suppose -2*c**5/7 - 10*c**4/7 + 114*c**3/7 - 206*c**2/7 - 64*c/7 + 264/7 = 0. What is c?
-11, -1, 2, 3
Factor -2*j**2 - 60*j.
-2*j*(j + 30)
Factor 3*k**2 - 6*k - 105.
3*(k - 7)*(k + 5)
Factor -i**3 - 3*i**2.
-i**2*(i + 3)
Let 2*d**4/11 + 40*d**3/11 - 2*d**2/11 - 40*d/11 = 0. What is d?
-20, -1, 0, 1
Factor -w**3/5 - 639*w**2 - 680535*w - 241589925.
-(w + 1065)**3/5
Let 2*h**4 + 56*h**3 + 156*h**2 + 152*h + 50 = 0. Calculate h.
-25, -1
Factor o**2 - 108*o + 2916.
(o - 54)**2
Solve -5*d**4 + 1295*d**3 + 3915*d**2 + 3925*d + 1310 = 0 for d.
-1, 262
Determine r, given that 2*r**2 + 1056*r + 139392 = 0.
-264
Find n such that 9*n**5 + 3*n**4/5 - 126*n**3/5 - 108*n**2/5 - 24*n/5 = 0.
-1, -2/3, -2/5, 0, 2
What is y in -4*y**4/7 + 4*y**2/7 = 0?
-1, 0, 1
Factor 9*a**3/8 + 11*a**2 + 31*a/2 - 4.
(a + 2)*(a + 8)*(9*a - 2)/8
Solve -25*o**3 - 85*o**2 + 70*o + 40 = 0.
-4, -2/5, 1
Factor 3*k**2/4 + 9*k/2 - 21/4.
3*(k - 1)*(k + 7)/4
Factor -2*m**4/3 + 26*m**3/3 + 68*m**2 + 440*m/3 + 304/3.
-2*(m - 19)*(m + 2)**3/3
Suppose -14*h**5 - 1726*h**4 + 6564*h**3 - 5096*h**2 - 2032*h = 0. What is h?
-127, -2/7, 0, 2
Factor 2*j**5/11 - 2*j**4 - 50*j**3/11 - 26*j**2/11.
2*j**2*(j - 13)*(j + 1)**2/11
Factor -i**4/6 - 7*i**3/6 + 24*i**2.
-i**2*(i - 9)*(i + 16)/6
Factor -4*p**3/9 + 460*p**2/9 - 12992*p/9 - 13456/9.
-4*(p - 58)**2*(p + 1)/9
Let 3*x**5/4 + 1383*x**4/2 + 212751*x**3 + 43825785*x**2/2 + 86803329*x/4 = 0. What is x?
-307, -1, 0
Factor -2*h**2/5 + 288*h/5.
-2*h*(h - 144)/5
Factor -3*q**5 + 18*q**4 + 72*q**3 + 78*q**2 + 27*q.
-3*q*(q - 9)*(q + 1)**3
Let 2*m**4/3 - 262*m**3/9 - 1888*m**2/9 - 200*m/3 = 0. Calculate m.
-6, -1/3, 0, 50
Factor -3*z**2 + 12*z - 9.
-3*(z - 3)*(z - 1)
Determine z, given that 5*z**5 + 35*z**4 + 55*z**3 + 25*z**2 = 0.
-5, -1, 0
Let 5*u**4 - 55*u**3 - 125*u**2 - 65*u = 0. What is u?
-1, 0, 13
Factor -36*v**4 - 408*v**3 + 284*v**2 - 48*v.
-4*v*(v + 12)*(3*v - 1)**2
Solve -j**5/5 + 12*j**4/5 - 29*j**3/5 + 18*j**2/5 = 0 for j.
0, 1, 2, 9
What is s in -s**5/2 + s**4/2 + 31*s**3/2 + 11*s**2/2 - 129*s - 180 = 0?
-3, -2, 4, 5
Solve x**3/5 + 87*x**2/5 + 336*x/5 + 332/5 = 0.
-83, -2
Factor 10*y**3 + 366*y**2 - 1348*y + 480.
2*(y - 3)*(y + 40)*(5*y - 2)
Suppose 4*b**3/7 - 404*b**2/7 + 11776*b/7 - 76176/7 = 0. Calculate b.
9, 46
Solve 3*b**2 + 54*b = 0 for b.
-18, 0
Find h, given that h**3/3 - 5*h**2 + 14*h/3 = 0.
0, 1, 14
Suppose -s**5 + 56*s**4 + 1943*s**3 - 62262*s**2 - 2298780*s - 17641800 = 0. What is s?
-18, 55
Factor 296*q**2/13 - 2*q/13.
2*q*(148*q - 1)/13
Find o, given that 2*o**2/23 + 34*o/23 + 60/23 = 0.
-15, -2
Let 2*g**4 + 32*g**3 + 58*g**2 + 28*g = 0. Calculate g.
-14, -1, 0
Solve 39*q**3/2 - 69*q**2/2 - 135*q/2 - 27/2 = 0.
-1, -3/13, 3
Solve -l**5/2 - 7*l**4 + 24*l**3 - 25*l**2 + 17*l/2 = 0.
-17, 0, 1
Factor 5*v**4 + 15*v**3 - 270*v**2 - 540*v + 3240.
5*(v - 6)*(v - 3)*(v + 6)**2
Factor -3*u**4/2 - 24*u**3 - 117*u**2 - 168*u - 147/2.
-3*(u + 1)**2*(u + 7)**2/2
Let -l**5 - 16*l**4 - 73*l**3 - 142*l**2 - 124*l - 40 = 0. Calculate l.
-10, -2, -1
Let p**2/3 + p - 6 = 0. What is p?
-6, 3
Factor -2*w**2/11 - 316*w/11 + 318/11.
-2*(w - 1)*(w + 159)/11
Factor 2*d**5/19 - 4*d**3/19 + 2*d/19.
2*d*(d - 1)**2*(d + 1)**2/19
Let -2*u**4/7 - 24*u**3/7 + 96*u**2/7 + 608*u/7 + 96 = 0. What is u?
-14, -2, 6
Factor 8*y**2 - 730*y + 182.
2*(y - 91)*(4*y - 1)
Find r, given that r**5 + 32*r**4 - 75*r**3 - 230*r**2 + 284*r + 408 = 0.
-34, -2, -1, 2, 3
Factor -2*d**2 - 86*d - 84.
-2*(d + 1)*(d + 42)
Factor u**3 - 341*u**2 + 28899*u + 29241.
(u - 171)**2*(u + 1)
Solve -h**3/5 + 58*h**2/5 = 0.
0, 58
Factor 2*x**5/3 + 10*x**4/3 + 16*x**3/3 + 8*x**2/3.
2*x**2*(x + 1)*(x + 2)**2/3
Factor 2*o**2 - 22*o - 24.
2*(o - 12)*(o + 1)
Find h, given that 5*h**3/2 - 30*h + 40 = 0.
-4, 2
Find s such that 5*s**4/2 + 11*s**3 + 13*s**2/2 - 14*s - 6 = 0.
-3, -2, -2/5, 1
Factor -6*v**2/11 + 7878*v/11 - 7872/11.
-6*(v - 1312)*(v - 1)/11
Factor 12*j**2/5 + 81*j/5 - 21/5.
3*(j + 7)*(4*j - 1)/5
Factor -a**4 + 88*a**3 - 173*a**2 + 86*a.
-a*(a - 86)*(a - 1)**2
Find c, given that -25*c**4 + 510*c**3 - 1100*c**2 + 360*c = 0.
0, 2/5, 2, 18
Suppose 3*j**2/2 - 1116*j + 207576 = 0. Calculate j.
372
What is u in u**5/2 - 2*u**4 - 52*u**3 + 163*u**2 - 329*u/2 + 55 = 0?
-10, 1, 11
Determine p so that -3*p**4 - 6*p**3 + 9*p**2 + 12*p - 12 = 0.
-2, 1
What is z in 4*z**3 + 29540*z**2 + 54552992*z + 54523456 = 0?
-3692, -1
Find b such that 2*b**2/9 + 44*b/3 - 134/9 = 0.
-67, 1
Find z such that z**3 + 5*z**2 - 14*z = 0.
-7, 0, 2
Determine o so that -16*o**4/5 - 212*o**3/5 + 412*o**2/5 - 124*o/5 - 12 = 0.
-15, -1/4, 1
Let -5*k**3 + 695*k**2 - 29795*k + 365505 = 0. What is k?
21, 59
Factor -u**2/4 + 25*u/4 + 27/2.
-(u - 27)*(u + 2)/4
Factor 2*p**4/19 + 6*p**3/19 - 8*p**2/19.
2*p**2*(p - 1)*(p + 4)/19
Factor -3*y**2 + 1224*y - 124848.
-3*(y - 204)**2
Factor 3*g**2/2 - 27*g/2 + 27.
3*(g - 6)*(g - 3)/2
Factor 4*b**4 - 12*b**3 - 272*b**2 - 816*b - 704.
4*(b - 11)*(b + 2)**2*(b + 4)
Suppose -d**2 + 8*d + 9 = 0. What is d?
-1, 9
Determine x so that 578*x**5/7 + 306*x**4 + 718*x**3/7 - 1926*x**2/7 - 1296*x/7 - 216/7 = 0.
-3, -1, -6/17, 1
Determine h so that 16*h**5/5 - 96*h**4/5 + 147*h**3/5 - 79*h**2/5 + 12*h/5 = 0.
0, 1/4, 3/4, 1, 4
Suppose i**2/3 + 130*i/3 - 131/3 = 0. Calculate i.
-131, 1
Find x such that 3*x**5/5 - 54*x**4/5 + 243*x**3/5 + 444*x**2/5 - 4608*x/5 + 6912/5 = 0.
-4, 3, 8
Factor 2*j**3 + 32*j**2/3 + 10*j - 12.
2*(j + 3)**2*(3*j - 2)/3
What is f in -4*f**5 - 4*f**4 + 20*f**3 - 12*f**2 = 0?
-3, 0, 1
Determine w so that -2*w**5/11 + 10*w**4/11 + 30*w**3/11 - 10*w**2/11 - 28*w/11 = 0.
-2, -1, 0, 1, 7
Factor -3*w**2/2 - 7*w - 8.
-(w + 2)*(3*w + 8)/2
Factor -p**3 - 4*p**2 + 5*p.
-p*(p - 1)*(p + 5)
Let -2*b**3/15 - 52*b**2/15 + 34*b/3 - 116/15 = 0. What is b?
-29, 1, 2
Factor 2*c**5/5 - 4*c**3/5 + 2*c/5.
2*c*(c - 1)**2*(c + 1)**2/5
Solve -2*k**4/11 + 8*k**3/11 + 36*k**2/11 + 40*k/11 + 14/11 = 0.
-1, 7
Factor h**3 - 36*h**2 + 203*h.
h*(h - 29)*(h - 7)
Let k**3/7 - 68*k**2/7 + 433*k/7 - 36