324*r**2 - 690*r + 8 = 0. Calculate r.
-1, 4/337, 1/3
Let 5*w**5 - 40*w**4 + 75*w**3 + 40*w**2 - 80*w = 0. What is w?
-1, 0, 1, 4
Factor 5*y**3 + 45*y**2 - 125*y - 165.
5*(y - 3)*(y + 1)*(y + 11)
What is n in 2*n**5/3 - 86*n**4/9 - 22*n**3/3 + 86*n**2/9 + 20*n/3 = 0?
-1, -2/3, 0, 1, 15
Let 3*s**2 + 3156*s + 830028 = 0. What is s?
-526
Factor w**2/2 - 34*w + 67/2.
(w - 67)*(w - 1)/2
Solve 250*g**4 - 50*g**3 - 630*g**2 - 486*g - 108 = 0 for g.
-3/5, 2
Factor 3*m**5 + 6*m**4 - 12*m**3 - 24*m**2.
3*m**2*(m - 2)*(m + 2)**2
Suppose 4*u**4 - 552*u**3 + 24816*u**2 - 335768*u - 1245876 = 0. Calculate u.
-3, 47
Solve t**5/5 - 18*t**4/5 + 97*t**3/5 - 144*t**2/5 + 64*t/5 = 0.
0, 1, 8
Factor 8*t**2 + 1724*t - 4360.
4*(t + 218)*(2*t - 5)
Factor -3*m**5/2 + 15*m**4/2 - 12*m**3 + 6*m**2.
-3*m**2*(m - 2)**2*(m - 1)/2
Factor -2*y**2/9 - 80*y/9 - 26/3.
-2*(y + 1)*(y + 39)/9
Factor -4*n**3 + 8*n**2 + 76*n - 80.
-4*(n - 5)*(n - 1)*(n + 4)
Find v such that -v**5/4 - v**4/4 + 27*v**3/4 - 27*v**2/4 - 27*v/2 = 0.
-6, -1, 0, 3
Determine c so that 5*c**4 = 0.
0
Find d such that 2*d**5/3 - 8*d**4/3 - 14*d**3/3 + 20*d**2/3 = 0.
-2, 0, 1, 5
Factor 2*a**2/9 + 1160*a/9 + 168200/9.
2*(a + 290)**2/9
What is i in -3*i**5 + 45*i**4 + 162*i**3 - 3846*i**2 + 5841*i + 9801 = 0?
-9, -1, 3, 11
Determine x, given that -3*x**3 - 852*x**2 - 849*x = 0.
-283, -1, 0
Find y, given that 13*y**5 - 236*y**4 + 1453*y**3 - 3494*y**2 + 3052*y - 392 = 0.
2/13, 2, 7
Determine x so that x**5/6 - x**4/6 - x**3/6 + x**2/6 = 0.
-1, 0, 1
Determine k, given that 22*k**4 - 128*k**3 + 42*k**2 + 232*k + 40 = 0.
-1, -2/11, 2, 5
Factor 4*b**2/5 + 1432*b/5 + 128164/5.
4*(b + 179)**2/5
Factor -2*c**3 + 436*c**2 - 24192*c + 46656.
-2*(c - 108)**2*(c - 2)
Determine h, given that 2*h**2/11 + 392*h/11 + 3720/11 = 0.
-186, -10
Let -5*f**5/3 - 20*f**4 - 45*f**3 + 180*f**2 + 540*f = 0. Calculate f.
-6, -3, 0, 3
Solve -3*l**4/5 - 34*l**3/5 - 3*l**2/5 + 84*l/5 - 44/5 = 0.
-11, -2, 2/3, 1
Find a such that -9*a**5 + 12*a**4 - 3*a**3 = 0.
0, 1/3, 1
Let -3*b**4/5 + 9*b**3 - 87*b**2/5 - 621*b/5 - 486/5 = 0. Calculate b.
-2, -1, 9
Find s, given that 5*s**4/3 - 25*s**3/3 + 40*s**2/3 - 20*s/3 = 0.
0, 1, 2
Find d such that -3*d**5 - 21*d**4 + 63*d**3 + 81*d**2 = 0.
-9, -1, 0, 3
Suppose 18*f**3 - 22*f**2 - 32*f + 8 = 0. What is f?
-1, 2/9, 2
Factor 2*b**3/7 - 8*b**2/7 - 22*b/7 - 12/7.
2*(b - 6)*(b + 1)**2/7
What is d in d**4 - 2*d**3 = 0?
0, 2
Suppose -3*z**3/7 + 6*z**2 - 153*z/7 + 162/7 = 0. What is z?
2, 3, 9
Solve -7*c**2/6 + 41*c/3 + 4 = 0 for c.
-2/7, 12
Solve 2*t**2/15 - 6*t/5 + 8/3 = 0.
4, 5
Suppose k**4 - 3*k**3 - 2*k**2 + 12*k - 8 = 0. What is k?
-2, 1, 2
Factor -m**4/5 + m**3 + 33*m**2/5 + 27*m/5.
-m*(m - 9)*(m + 1)*(m + 3)/5
Find f, given that -22*f**3 - 14*f**2 + 8*f = 0.
-1, 0, 4/11
Factor -a**3/6 + 15*a**2/2 - 7*a - 44/3.
-(a - 44)*(a - 2)*(a + 1)/6
Determine u, given that 2*u**3/7 - 18*u**2/7 + 40*u/7 - 24/7 = 0.
1, 2, 6
Factor -l**3/6 - 85*l**2/3.
-l**2*(l + 170)/6
What is l in -45*l**2 - 70*l = 0?
-14/9, 0
Solve -14*r**3 + 130*r**2 - 36*r = 0.
0, 2/7, 9
What is i in 22*i**3/9 - 2668*i**2/3 - 1054*i - 1460/9 = 0?
-1, -2/11, 365
Factor c**2/9 - 3190*c/9 + 2544025/9.
(c - 1595)**2/9
Solve -4*v**5 - 1288*v**4 - 104964*v**3 - 206080*v**2 - 102400*v = 0.
-160, -1, 0
Determine s, given that -s**4 - 35*s**3 - 396*s**2 - 1296*s + 1728 = 0.
-12, 1
Find q such that -q**3 + 14*q**2 - 43*q + 30 = 0.
1, 3, 10
Factor -w**2/7 - 8*w/7 - 1.
-(w + 1)*(w + 7)/7
Factor -4*f**2 + 9436*f + 9440.
-4*(f - 2360)*(f + 1)
Let 4*j**4/9 + 88*j**3/9 - 832*j**2/9 - 280*j/9 + 2900/3 = 0. Calculate j.
-29, -3, 5
Factor 12*i**2 - 11772*i + 2887083.
3*(2*i - 981)**2
Solve -2*n**2/7 + 8*n/7 = 0 for n.
0, 4
Factor -175*f**2/3 + 305*f/3 + 30.
-5*(f - 2)*(35*f + 9)/3
Find b such that b**4/11 + 25*b**3/11 - 112*b**2/11 + 116*b/11 = 0.
-29, 0, 2
Factor -o**5 + 8*o**4 + 11*o**3 - 18*o**2.
-o**2*(o - 9)*(o - 1)*(o + 2)
Factor h**4/2 + 49*h**3/2 - 53*h**2 - 98*h + 204.
(h - 2)**2*(h + 2)*(h + 51)/2
Factor v**3/5 + 24*v**2/5 - 45*v - 248/5.
(v - 8)*(v + 1)*(v + 31)/5
Factor -5*p**5 + 74*p**4 + 15*p**3.
-p**3*(p - 15)*(5*p + 1)
Find m, given that 242*m**3/7 - 198*m**2/7 - 6*m - 2/7 = 0.
-1/11, 1
Factor 3*q**3 + 35*q**2/4 - q - 3/4.
(q + 3)*(3*q - 1)*(4*q + 1)/4
What is d in -3*d**5/4 - 15*d**4/2 - 93*d**3/4 - 33*d**2/2 + 24*d + 24 = 0?
-4, -2, -1, 1
Let 234*g**4/7 + 4012*g**3/7 + 4318*g**2/7 + 68*g - 64/7 = 0. Calculate g.
-16, -1, -2/9, 1/13
What is s in 28*s**4 + 92*s**3 - 480*s**2 - 144*s = 0?
-6, -2/7, 0, 3
Let -f**4/2 - 29*f**3/2 + 17*f**2 + 58*f - 60 = 0. What is f?
-30, -2, 1, 2
Suppose -5*h**5 + 70*h**4 - 360*h**3 + 880*h**2 - 1040*h + 480 = 0. What is h?
2, 6
Determine f so that -5*f**2 - 390*f - 385 = 0.
-77, -1
Let -2*f**5/7 - 8*f**4/7 - 10*f**3/7 - 4*f**2/7 = 0. Calculate f.
-2, -1, 0
Determine u, given that u**5 - 9*u**4 - 3*u**3 + 25*u**2 + 18*u = 0.
-1, 0, 2, 9
Determine u, given that -18*u**4 - 60*u**3 + 107*u**2/2 + 45*u/2 + 2 = 0.
-4, -1/6, 1
Solve 4*b**3 = 0 for b.
0
Determine f so that -f**4 + 12*f**3 - 23*f**2 - 36*f = 0.
-1, 0, 4, 9
Factor -2*f**4 + 304*f**3 - 11552*f**2.
-2*f**2*(f - 76)**2
Factor v**3 - 7*v**2 + 36.
(v - 6)*(v - 3)*(v + 2)
Factor -a**4/4 + 127*a**3/2 - 16381*a**2/4 + 8001*a - 3969.
-(a - 126)**2*(a - 1)**2/4
Determine b so that -b**2/3 - 86*b/3 + 176/3 = 0.
-88, 2
What is m in -4*m**5 - 20*m**4 + 8*m**3 + 112*m**2 + 32*m - 128 = 0?
-4, -2, 1, 2
Suppose -2*n**5/15 + 62*n**4/15 - 374*n**3/15 - 578*n**2/5 = 0. What is n?
-3, 0, 17
Factor -4*b**2 + 12*b + 352.
-4*(b - 11)*(b + 8)
Factor 5*l**3 - 4775*l**2 + 9535*l - 4765.
5*(l - 953)*(l - 1)**2
Find o such that -4*o**3/3 - 68*o**2 + 216*o = 0.
-54, 0, 3
Factor f**5 - 5*f**4 + 7*f**3 - 3*f**2.
f**2*(f - 3)*(f - 1)**2
Factor 4*q**5 - 16*q**4 - 28*q**3 + 40*q**2.
4*q**2*(q - 5)*(q - 1)*(q + 2)
Factor -2*l**3 - 76*l**2 - 278*l - 204.
-2*(l + 1)*(l + 3)*(l + 34)
Suppose 3*w**3 - 66*w**2 - 141*w - 72 = 0. What is w?
-1, 24
Factor 5*a**2 + 14775*a - 14780.
5*(a - 1)*(a + 2956)
Factor -3*l**4 - 24*l**3 - 60*l**2 - 48*l.
-3*l*(l + 2)**2*(l + 4)
Determine l, given that -3*l**4/2 + 12*l**3 - 51*l**2/2 + 15*l = 0.
0, 1, 2, 5
Find j such that -j**2 - 2991*j = 0.
-2991, 0
What is y in -3*y**4 - 6*y**3 + 21*y**2 + 24*y - 36 = 0?
-3, -2, 1, 2
Let -2*m**2/7 + 472*m/7 + 1920/7 = 0. Calculate m.
-4, 240
Determine v, given that 2*v**5 - 28*v**4 - 222*v**3 - 352*v**2 - 160*v = 0.
-4, -1, 0, 20
Factor 5*i**2 - 115*i + 300.
5*(i - 20)*(i - 3)
Let 2*t**3/3 + 6*t**2 + 40*t/3 + 8 = 0. Calculate t.
-6, -2, -1
Factor -2*l**2/3 - 244*l/3 - 7442/3.
-2*(l + 61)**2/3
What is m in 12*m**5 + 16*m**4 - 104*m**3 - 144*m**2 - 36*m = 0?
-3, -1, -1/3, 0, 3
Factor -2*s**2/3 - 170*s/3 - 3572/3.
-2*(s + 38)*(s + 47)/3
Find o, given that -5*o**3 + 5*o**2 + 25*o + 15 = 0.
-1, 3
Factor -65025*u**3/4 - 11985*u**2 - 3141*u/4 - 27/2.
-3*(3*u + 2)*(85*u + 3)**2/4
Solve w**3/5 - 607*w**2/5 - 1217*w/5 - 609/5 = 0.
-1, 609
Find k, given that -k**3/8 + 347*k**2/8 - 3827*k + 11094 = 0.
3, 172
Determine k, given that 54*k**4 + 108*k**3 + 72*k**2 + 16*k = 0.
-2/3, 0
Factor -169*t**3/6 + 3289*t**2/6 - 2920*t + 2400.
-(t - 1)*(13*t - 120)**2/6
Factor 3*b**4 + 51*b**3 - 111*b**2 + 57*b.
3*b*(b - 1)**2*(b + 19)
Factor -25*q**5 + 40*q**4 - 16*q**3.
-q**3*(5*q - 4)**2
Factor -4*f**2 - 156*f + 504.
-4*(f - 3)*(f + 42)
Find s such that 5*s**5/3 + 137*s**4/3 - 32*s**3 - 340*s**2/3 - 112*s/3 = 0.
-28, -1, -2/5, 0, 2
Suppose -2*j**4 - 296*j**3 - 13356*j**2 - 112360*j + 3275294 = 0. What is j?
-53, 11
Factor -3*j**3 - 39*j**2 - 117*j - 81.
-3*(j + 1)*(j + 3)*(j + 9)
Factor -4*s**3/7 - 368*s**2 + 5164*s/7 - 2584/7.
-4*(s - 1)**2*(s + 646)/7
Factor 2*l**4/7 - 24*l**3/7 + 10*l**2 - 48*l/7.
2*l*(l - 8)*(l - 3)*(l - 1)/7
What is l in 3*l**4/5 - 6*l**3/5 - 21*l**2/5 + 12*l - 36/5 = 0?
-3, 1, 2
What is o in 25*o**5 - 10*o**4 - 75*o**3 - 20*o**2 + 20*o = 0?
-1, 0, 2/5, 2
Factor 5*u**4 + 5*u**3 - 25*u**2 + 15*u.
5*u*(u - 1)**2*(u + 3)
Find k such that -k**3/6 - 27*k**2/2 - 39*k = 0.
-78, -3, 0
Solve -2*g**5 + 46*g**4 + 192*g**3 - 936*g**2 = 0 for g.
-6, 0, 3, 26
Factor -2*h**4 + 38*h**3 + 580*h**2 + 2304*h + 2880.
-2*(h - 30)*(h + 3)*(h + 4)**2
Determine r so that -5*r**3/2 + 89*r**2/2 - 387*r/2 - 81/2 = 0.
-1/5, 9
Suppose 3*k**2 + 3288*k + 90