 + 12*r + 108.
-3*(r - 2)*(r + 2)*(r + 9)
Determine u, given that -27*u**2 - 79*u + 6 = 0.
-3, 2/27
Factor h**3 - 281*h**2 - h + 281.
(h - 281)*(h - 1)*(h + 1)
Find a such that -2*a**2/9 + 316*a/9 - 12482/9 = 0.
79
Factor -w**3/10 - 3*w**2/5 - 11*w/10 - 3/5.
-(w + 1)*(w + 2)*(w + 3)/10
Determine f so that -2*f**2 + 476*f - 28322 = 0.
119
Solve -2*w**4 + 8*w**3 - 2*w**2 - 12*w = 0.
-1, 0, 2, 3
Factor -5*n**2/6 - 95*n/3 - 1805/6.
-5*(n + 19)**2/6
Factor 3*c**3 - 45*c**2/4 + 6*c + 9/4.
3*(c - 3)*(c - 1)*(4*c + 1)/4
Find m such that -m**4/4 - 199*m**3/4 - 2685*m**2/2 - 12925*m - 42250 = 0.
-169, -10
Suppose 10*z**2 - 438*z - 88 = 0. Calculate z.
-1/5, 44
Factor 5*b**3 + 725*b**2 + 25160*b - 82140.
5*(b - 3)*(b + 74)**2
What is j in 14*j**4 + 24*j**3 + 6*j**2 - 4*j = 0?
-1, 0, 2/7
Factor m**4 - 15*m**3 + 27*m**2 - 13*m.
m*(m - 13)*(m - 1)**2
Factor -7*h**3/2 - 565*h**2/2 - 5800*h - 4000.
-(h + 40)**2*(7*h + 5)/2
Factor 4*v**3 + 144*v**2 + 1536*v + 5120.
4*(v + 8)**2*(v + 20)
What is n in -n**4/4 + 127*n**3/4 + 387*n**2/4 + 389*n/4 + 65/2 = 0?
-1, 130
Determine c so that 5*c**5 + 45*c**4 + 135*c**3 + 115*c**2 - 120*c - 180 = 0.
-3, -2, 1
Factor -2*i**3 + 32*i**2.
-2*i**2*(i - 16)
Solve 12*h**4/7 + 3*h**3 + 6*h**2/7 - 3*h/7 = 0 for h.
-1, 0, 1/4
Let -s**4/5 + 4*s**3/5 - 2*s**2/5 - 4*s/5 + 3/5 = 0. Calculate s.
-1, 1, 3
Find r such that -r**4/4 + 3*r**3/4 - r**2/4 - 3*r/4 + 1/2 = 0.
-1, 1, 2
Determine i, given that -8*i**5/7 - 122*i**4 - 22234*i**3/7 + 30668*i**2/7 + 40392*i/7 - 11664/7 = 0.
-54, -1, 1/4, 2
What is u in u**3/2 - 35*u**2 - 77*u/2 + 213 = 0?
-3, 2, 71
Factor 2*y**3/11 - 1108*y**2/11 + 154560*y/11 - 304704/11.
2*(y - 276)**2*(y - 2)/11
Factor -2*y**5/17 + 88*y**4/17 - 1196*y**3/17 + 5016*y**2/17 - 6498*y/17.
-2*y*(y - 19)**2*(y - 3)**2/17
Solve 6*b**4 - 130*b**3 - 1140*b**2 + 2160*b - 896 = 0.
-8, 2/3, 1, 28
Factor 2*w**4 - w**3 - 6*w**2 + 7*w - 2.
(w - 1)**2*(w + 2)*(2*w - 1)
Solve 5*s**5 + 55*s**4 - 285*s**3 + 245*s**2 + 280*s - 300 = 0 for s.
-15, -1, 1, 2
Factor -243*l**3/7 + 1107*l**2/7 + 528*l/7 + 60/7.
-3*(l - 5)*(9*l + 2)**2/7
Solve -5*r**5 - 170*r**4 - 1040*r**3 + 3070*r**2 + 22645*r - 24500 = 0 for r.
-25, -7, 1, 4
Find r, given that -2*r**3 - 74*r**2 - 910*r - 3718 = 0.
-13, -11
Factor 308*d**4 + 60*d**3 - 8*d**2.
4*d**2*(7*d + 2)*(11*d - 1)
Find y, given that 3*y**2 + 99*y + 810 = 0.
-18, -15
Suppose n**2/2 - 83*n + 165/2 = 0. Calculate n.
1, 165
Let -5*g**5 + 80*g**4 + 105*g**3 - 320*g**2 - 340*g = 0. Calculate g.
-2, -1, 0, 2, 17
Determine j, given that -3*j**3 - 96*j**2 - 93*j = 0.
-31, -1, 0
Determine n so that 5*n**2 - 1345*n + 1340 = 0.
1, 268
Solve -4*o**4/3 - 26*o**3 + 524*o**2/3 - 214*o + 200/3 = 0 for o.
-25, 1/2, 1, 4
Let 52*o**5/9 - 158*o**4/9 + 146*o**3/9 - 40*o**2/9 = 0. Calculate o.
0, 1/2, 1, 20/13
Factor 4*n**2 - 32*n - 36.
4*(n - 9)*(n + 1)
Determine v so that -2*v**3/7 - 5910*v**2/7 - 5821350*v/7 - 1911343250/7 = 0.
-985
Determine s, given that 2*s**5/7 - 4*s**4 + 114*s**3/7 - 152*s**2/7 + 64*s/7 = 0.
0, 1, 4, 8
Factor 3*f**3 - 9*f**2 + 6*f.
3*f*(f - 2)*(f - 1)
Factor 3*s**2/4 + 87*s/4 - 189.
3*(s - 7)*(s + 36)/4
Factor u**4/2 - 3*u**3.
u**3*(u - 6)/2
Solve 15*p**3 - 738*p**2 - 603*p + 150 = 0.
-1, 1/5, 50
Let 80*r**4 - 155*r**3 - 90*r**2 + 155*r + 10 = 0. What is r?
-1, -1/16, 1, 2
Determine r, given that -2*r**5 - 18*r**4 - 52*r**3 - 40*r**2 + 48*r + 64 = 0.
-4, -2, 1
Let w**3 - 2*w**2 - 5*w + 6 = 0. What is w?
-2, 1, 3
Factor 2*h**2/21 - 80*h/7 + 2400/7.
2*(h - 60)**2/21
Factor 3*k**2 - 36*k - 135.
3*(k - 15)*(k + 3)
Factor -8*x**4 - 716*x**3 - 356*x**2.
-4*x**2*(x + 89)*(2*x + 1)
Let 4*j**2 + 48*j + 44 = 0. Calculate j.
-11, -1
Suppose 2*p**4 - 16*p**3 - 114*p**2 - 200*p - 104 = 0. Calculate p.
-2, -1, 13
Factor i**3 - 31*i**2 + 24*i + 180.
(i - 30)*(i - 3)*(i + 2)
Suppose -14*r**5 + 13*r**4 + 15*r**3 - 13*r**2 - r = 0. What is r?
-1, -1/14, 0, 1
Factor 5*x**2 - 2110*x + 222605.
5*(x - 211)**2
Determine x, given that -x**3/3 + 233*x**2 - 54289*x + 12649337/3 = 0.
233
Let -i**4/2 - 39*i**3/8 + 51*i**2/4 - 71*i/8 + 3/2 = 0. Calculate i.
-12, 1/4, 1
Factor -3*d**3/2 - 99*d**2/2.
-3*d**2*(d + 33)/2
Factor 60*b**2 + 145*b - 40.
5*(3*b + 8)*(4*b - 1)
Factor o**2 + 72*o + 396.
(o + 6)*(o + 66)
Let 4*c**2 + 12*c - 112 = 0. What is c?
-7, 4
Factor -183*p**3 + 921*p**2 - 762*p + 24.
-3*(p - 4)*(p - 1)*(61*p - 2)
Find z, given that -2*z**2 + 26*z - 44 = 0.
2, 11
Solve -k**5/2 - k**4 + 7*k**3/2 + 4*k**2 - 6*k = 0.
-3, -2, 0, 1, 2
Find m such that -8*m**5 - 118*m**4 - 474*m**3 - 266*m**2 + 98*m = 0.
-7, -1, 0, 1/4
What is w in -12*w**5 - 435*w**4 - 1896*w**3 + 1785*w**2 + 558*w = 0?
-31, -6, -1/4, 0, 1
Find z such that -3*z**3/4 + 9*z**2 - 135*z/4 + 75/2 = 0.
2, 5
Find r, given that -2*r**5 - 86*r**4 - 1188*r**3 - 5116*r**2 + 1190*r + 5202 = 0.
-17, -9, -1, 1
Determine a, given that 4*a**2/3 - 20*a/3 - 48 = 0.
-4, 9
Solve -3*m**5/4 + 15*m**4/2 - 33*m**3/2 + 3*m**2 + 69*m/4 - 21/2 = 0 for m.
-1, 1, 2, 7
Factor -4*k**3/7 + 12*k**2/7 + 52*k/7 - 60/7.
-4*(k - 5)*(k - 1)*(k + 3)/7
Factor -14*r**3/15 - 110*r**2/3 - 228*r/5.
-2*r*(r + 38)*(7*r + 9)/15
Factor -9*z**2/4 - 735*z/4 + 123/2.
-3*(z + 82)*(3*z - 1)/4
Factor 2*r**5 - 204*r**4 + 594*r**3.
2*r**3*(r - 99)*(r - 3)
Factor 59*w**2/6 - w/6.
w*(59*w - 1)/6
Determine l, given that -5*l**3 - 30*l**2 + 5*l + 150 = 0.
-5, -3, 2
Determine g so that 2*g**5/11 - 58*g**4/11 - 328*g**3/11 - 416*g**2/11 + 256*g/11 + 544/11 = 0.
-2, 1, 34
Determine z, given that -2*z**2/9 - 130*z/9 - 128/9 = 0.
-64, -1
Determine u so that u**4 - 39*u**3 + 255*u**2 + 5491*u - 58956 = 0.
-12, 17
Factor -2*u**2 - 56*u - 54.
-2*(u + 1)*(u + 27)
Solve 26*c**5/5 - 836*c**4/5 + 8708*c**3/5 - 26488*c**2/5 - 30734*c/5 + 5324/5 = 0 for c.
-1, 2/13, 11
Determine f, given that -7*f**3 - 110*f**2 - 388*f + 120 = 0.
-10, -6, 2/7
Factor 8*p**4/7 + 270*p**3/7 + 198*p**2/7.
2*p**2*(p + 33)*(4*p + 3)/7
Factor m**2/2 + 25*m/2 + 57.
(m + 6)*(m + 19)/2
Factor -2*a**4/3 - 8*a**3/3 + 8*a**2.
-2*a**2*(a - 2)*(a + 6)/3
Determine v, given that -165649*v**3 + 331705*v**2 - 3257*v/4 + 1/2 = 0.
1/814, 2
Determine q, given that -5*q**3 - 517*q**2 + 837*q - 315 = 0.
-105, 3/5, 1
Factor -4*c**4/5 + 28*c**3/5 - 16*c**2/5 - 48*c/5.
-4*c*(c - 6)*(c - 2)*(c + 1)/5
Solve 28*g**5 - 104*g**4 + 52*g**3 + 24*g**2 = 0 for g.
-2/7, 0, 1, 3
Factor 16*z**4 - 748*z**3 - 188*z**2.
4*z**2*(z - 47)*(4*z + 1)
Factor -3*a**3/2 + 99*a**2/2 - 432*a + 384.
-3*(a - 16)**2*(a - 1)/2
Let -42*f**4/11 - 894*f**3/11 - 6426*f**2/11 - 1470*f - 4116/11 = 0. Calculate f.
-7, -2/7
Determine a, given that -2*a**4/9 - 14*a**3/9 + 68*a**2/9 + 704*a/9 + 448/3 = 0.
-6, -4, 7
Determine s so that 9*s**2 + 568*s + 63 = 0.
-63, -1/9
Solve -58*h**4 - 810*h**3 - 2814*h**2 + 98*h = 0 for h.
-7, 0, 1/29
Factor 3*u**2/2 + 21*u - 180.
3*(u - 6)*(u + 20)/2
Factor -5*p**3 - 5*p**2 + 10*p.
-5*p*(p - 1)*(p + 2)
Let 9*a**3 - 375*a**2 - 132*a + 252 = 0. Calculate a.
-1, 2/3, 42
Let -b**3/8 + 25*b**2/4 - 137*b/8 - 47/2 = 0. What is b?
-1, 4, 47
Factor -4*k**2 - 32*k + 132.
-4*(k - 3)*(k + 11)
Solve -3*b**5 + 117*b**4 + 369*b**3 + 375*b**2 + 126*b = 0.
-1, 0, 42
Factor 5*k**3 - 215*k**2 + 2200*k + 2420.
5*(k - 22)**2*(k + 1)
Determine i so that -2*i**2 + 2800*i - 980000 = 0.
700
Solve -10*v**3 + 4268*v**2 - 17048*v/5 + 3408/5 = 0.
2/5, 426
Factor 19*u**4/5 + 6*u**3/5 - 19*u**2/5 - 6*u/5.
u*(u - 1)*(u + 1)*(19*u + 6)/5
Solve k**5/2 + 65*k**4/2 + 119*k**3/2 - 437*k**2/2 + 126*k = 0 for k.
-63, -4, 0, 1
Factor n**2 - 5374*n + 7219969.
(n - 2687)**2
Factor -5*i**4 + 120*i**3 + 560*i**2.
-5*i**2*(i - 28)*(i + 4)
Suppose 317*s**5 + 2217*s**4 + 3473*s**3 + 1563*s**2 - 10*s = 0. What is s?
-5, -1, 0, 2/317
Suppose 4*u**4/11 - 18*u**3/11 + 28*u**2/11 - 18*u/11 + 4/11 = 0. Calculate u.
1/2, 1, 2
Find l, given that -122*l**3 - 3176*l**2 - 20722*l - 676 = 0.
-13, -2/61
Solve -3*g**2 - 1146*g - 109443 = 0 for g.
-191
Solve 2*l**2 - 38*l = 0.
0, 19
Factor 5*w**3/2 + 1065*w**2/2 - 2145*w/2 + 1075/2.
5*(w - 1)**2*(w + 215)/2
Let -h**3/7 + 337*h**2/7 - 671*h/7 + 335/7 = 0. Calculate h.
1, 335
Factor k**2 + 21*k.
k*(k + 21)
Factor 2*l**3 + 86*l**2 + 966*l + 882.
2*(l + 1)*(l + 21)**2
Find s such that s**3/6 + 14*s**2/3 + 98*s/3 = 0.
-14, 0
Factor -2*s**2/11 + 612*s/11 - 46818/11.
-2*(s - 153)**2/1