**3 - 15*w**2 + 39*w - 21 = 0.
-7, 1
Solve -3*s**3/7 - 75*s**2/7 + 159*s/7 - 81/7 = 0.
-27, 1
Factor -6*t**3 - 298*t**2 - 1744*t - 1032.
-2*(t + 6)*(t + 43)*(3*t + 2)
Factor -4*w**3 - 212*w**2 + 436*w - 220.
-4*(w - 1)**2*(w + 55)
Factor u**2/3 - 10*u + 56/3.
(u - 28)*(u - 2)/3
Factor 2*c**5 + 6*c**4 + 4*c**3 - 4*c**2 - 6*c - 2.
2*(c - 1)*(c + 1)**4
Factor 10*b**3/9 - 46*b**2/9 - 160*b/9 - 56/9.
2*(b - 7)*(b + 2)*(5*b + 2)/9
Factor t**2/3 - 92*t/3.
t*(t - 92)/3
Factor -4*w**4 + 24*w**3 - 128*w.
-4*w*(w - 4)**2*(w + 2)
Factor -6*y**2/11 - 2622*y/11 - 2616/11.
-6*(y + 1)*(y + 436)/11
Factor r**3/2 + 19*r**2/2 + 87*r/2 + 117/2.
(r + 3)**2*(r + 13)/2
Solve j**2/5 + 113*j/5 - 468/5 = 0 for j.
-117, 4
Factor -5*r**2 + 65*r + 70.
-5*(r - 14)*(r + 1)
Factor -5*g**3 - 310*g**2 - 4480*g + 10240.
-5*(g - 2)*(g + 32)**2
Factor -5*n**4 - 15*n**3 + 10*n**2 + 60*n + 40.
-5*(n - 2)*(n + 1)*(n + 2)**2
Find m such that -3*m**2 + 510*m + 1032 = 0.
-2, 172
Suppose -2*c**3/3 - 28*c**2 - 264*c + 1936/3 = 0. Calculate c.
-22, 2
Factor 5*o**3 + 730*o**2 + 35445*o + 572220.
5*(o + 44)*(o + 51)**2
Find n, given that n**2/5 - 182*n/5 + 72 = 0.
2, 180
Determine k, given that 3*k**5/5 + 41*k**4/5 + 142*k**3/5 + 146*k**2/5 + 3*k - 27/5 = 0.
-9, -3, -1, 1/3
Determine s so that 3*s**5 + 18*s**4 - 168*s**3 - 18*s**2 + 165*s = 0.
-11, -1, 0, 1, 5
Find n, given that -4*n**3 + 72*n**2 - 308*n + 240 = 0.
1, 5, 12
Factor 2*v**2/11 + 184*v/11 + 4232/11.
2*(v + 46)**2/11
Determine b, given that 2*b**5/3 - 4*b**3/3 + 2*b/3 = 0.
-1, 0, 1
Factor -b**2 - 436*b - 47524.
-(b + 218)**2
Let -2*n**5/11 + 56*n**4/11 - 90*n**3/11 - 356*n**2/11 - 208*n/11 = 0. What is n?
-1, 0, 4, 26
Factor -48*j**2/5 - 2782*j/5 + 116/5.
-2*(j + 58)*(24*j - 1)/5
Factor 3*h**3 - 39*h**2 - 390*h - 600.
3*(h - 20)*(h + 2)*(h + 5)
Factor -2*f**3 + 4*f**2 + 118*f - 336.
-2*(f - 7)*(f - 3)*(f + 8)
Solve -1690*u**3 - 3385*u**2 + 5060*u + 15 = 0.
-3, -1/338, 1
Factor 2*m**4 - 18*m**3 + 36*m**2.
2*m**2*(m - 6)*(m - 3)
Factor -g**2 + 22*g - 21.
-(g - 21)*(g - 1)
Find p such that 2*p**2/15 + 226*p/15 + 224/15 = 0.
-112, -1
Suppose -2*p**5/5 - 48*p**4/5 + 56*p**3/5 + 148*p**2/5 - 54*p/5 - 20 = 0. What is p?
-25, -1, 1, 2
Factor 5*a**4 - 3240*a**3 + 787320*a**2 - 85030560*a + 3443737680.
5*(a - 162)**4
Find s, given that 2*s**4 + 20*s**3 - 56*s**2 - 80*s + 192 = 0.
-12, -2, 2
Solve 55*u**3 + 210*u**2 - 315*u + 50 = 0 for u.
-5, 2/11, 1
Factor i**2/6 + 7*i/3 + 20/3.
(i + 4)*(i + 10)/6
Suppose -i**2/3 - 2*i - 8/3 = 0. Calculate i.
-4, -2
Suppose 2*h**5/7 - 32*h**4/7 + 4*h**3 + 32*h**2/7 - 30*h/7 = 0. What is h?
-1, 0, 1, 15
Factor 2*u**2/11 + 86*u/11.
2*u*(u + 43)/11
Solve x**3/3 + 33*x**2 + 1089*x + 11979 = 0 for x.
-33
Factor -5*j**3 - 3245*j**2 + 6505*j - 3255.
-5*(j - 1)**2*(j + 651)
Factor 2*m**2/9 - 6*m + 52/9.
2*(m - 26)*(m - 1)/9
Factor 117*m**3 + 114*m**2 - 3*m.
3*m*(m + 1)*(39*m - 1)
What is t in 7*t**4/6 - 34*t**3/3 + 155*t**2/6 + 25*t/3 = 0?
-2/7, 0, 5
Determine a so that -9*a**5/2 + 19*a**4/2 - a**3 - 9*a**2 + 11*a/2 - 1/2 = 0.
-1, 1/9, 1
Factor -2*t**3/7 + 2*t**2/7 + 24*t/7.
-2*t*(t - 4)*(t + 3)/7
Factor h**3/8 + 11*h**2/8.
h**2*(h + 11)/8
Factor o**4 - 14*o**3 - 69*o**2 - 54*o.
o*(o - 18)*(o + 1)*(o + 3)
Factor -j**4/10 + 29*j**3/10 + 63*j**2/2 + 999*j/10 + 513/5.
-(j - 38)*(j + 3)**3/10
Determine v, given that -5*v**2/3 + 70*v/3 - 40 = 0.
2, 12
Factor -m**2 + 5*m + 6.
-(m - 6)*(m + 1)
Factor -4*a**4/7 + 4*a**3 - 32*a**2/7 - 64*a/7.
-4*a*(a - 4)**2*(a + 1)/7
Solve -v**5/4 + 15*v**4/4 - 73*v**3/4 + 153*v**2/4 - 71*v/2 + 12 = 0 for v.
1, 2, 3, 8
Let 3*t**3 + 117*t**2 + 108*t - 228 = 0. What is t?
-38, -2, 1
Factor 16*l**2 - 300*l.
4*l*(4*l - 75)
Let 3*u**4/5 + 12*u**3/5 - 9*u**2 - 54*u/5 = 0. Calculate u.
-6, -1, 0, 3
Let 3*q**2/8 + 381*q/8 - 405 = 0. What is q?
-135, 8
Factor -3*z**4 + 21*z**3 + 339*z**2 + 315*z.
-3*z*(z - 15)*(z + 1)*(z + 7)
Find m, given that -2*m**4 - 62*m**3 + 66*m**2 + 62*m - 64 = 0.
-32, -1, 1
Factor -z**4 + 2*z**3 + 3*z**2.
-z**2*(z - 3)*(z + 1)
Suppose 4*z**4 - 152*z**3 + 1248*z**2 = 0. Calculate z.
0, 12, 26
Determine b, given that -27*b**4/5 - 26*b**3/5 + 136*b**2/5 - 86*b/5 + 3/5 = 0.
-3, 1/27, 1
Let 2*c**2 - 78*c - 164 = 0. Calculate c.
-2, 41
Factor -n**3 - 3*n**2 + 18*n + 40.
-(n - 4)*(n + 2)*(n + 5)
Factor 33*x**3 + 105*x**2 + 18*x.
3*x*(x + 3)*(11*x + 2)
Let 36*n**3 - 1112*n**2 + 7936*n + 10240 = 0. What is n?
-10/9, 16
Solve n**5/4 - n**4/2 - 7*n**3/4 + 2*n**2 + 3*n = 0.
-2, -1, 0, 2, 3
Factor -4*o**2 - 124*o - 792.
-4*(o + 9)*(o + 22)
Factor -c**3 - 5*c**2.
-c**2*(c + 5)
Factor r**4/4 - 35*r**3/4 + 129*r**2/4 - 157*r/4 + 31/2.
(r - 31)*(r - 2)*(r - 1)**2/4
Let n**3/2 + 9*n**2/2 + 11*n/2 - 21/2 = 0. Calculate n.
-7, -3, 1
Suppose -3*n**5 - 27*n**4 + 183*n**3 - 357*n**2 + 288*n - 84 = 0. What is n?
-14, 1, 2
Suppose o**4/11 + 6*o**3/11 - 15*o**2/11 - 152*o/11 - 240/11 = 0. Calculate o.
-4, -3, 5
Find f such that -3*f**3 - 5691*f**2 - 2696109*f + 2701803 = 0.
-949, 1
Suppose -5*y**5 + 200*y**4 - 945*y**3 - 3050*y**2 + 17000*y = 0. What is y?
-4, 0, 5, 34
Determine n, given that -4*n**2 - 64*n = 0.
-16, 0
Let -j**2/2 + 2374*j - 2817938 = 0. What is j?
2374
Factor -2*k**2/17 - 5748*k/17 - 4129938/17.
-2*(k + 1437)**2/17
Factor -2*w**5 - 284*w**4 - 13250*w**3 - 193824*w**2 + 428544*w - 221184.
-2*(w - 1)**2*(w + 48)**3
Factor -b**4 + 6*b**3 - 8*b**2 - 6*b + 9.
-(b - 3)**2*(b - 1)*(b + 1)
Let -r**2 + 10*r = 0. What is r?
0, 10
Factor -2*n**4 + 102*n**3 - 292*n**2 + 192*n.
-2*n*(n - 48)*(n - 2)*(n - 1)
Factor 5*h**4 - 10*h**3 - 5*h**2 + 10*h.
5*h*(h - 2)*(h - 1)*(h + 1)
Solve -3*u**2/2 - 411*u + 828 = 0.
-276, 2
Let -2*o**2 + 272*o - 270 = 0. What is o?
1, 135
Factor -5*n**3 + 145*n**2 - 1075*n + 2375.
-5*(n - 19)*(n - 5)**2
Factor 2*t**4/7 + 352*t**3/7 + 15132*t**2/7 - 31328*t/7 + 15842/7.
2*(t - 1)**2*(t + 89)**2/7
Solve 5*q**3 - 45*q**2 + 120*q - 80 = 0 for q.
1, 4
Factor 5*d**4 + 72*d**3 + 188*d**2 - 576*d - 256.
(d - 2)*(d + 8)**2*(5*d + 2)
What is s in s**3/3 + 53*s**2/3 + 232*s + 396 = 0?
-33, -18, -2
Factor -4*j**2 - 3712*j - 861184.
-4*(j + 464)**2
Let 4*l**2/7 + 1832*l/7 + 209764/7 = 0. What is l?
-229
Solve 2*k**3 - 20*k**2 - 64*k + 192 = 0 for k.
-4, 2, 12
Factor -d**4/4 + 3*d**3/4 + 23*d**2/4 + 33*d/4 + 7/2.
-(d - 7)*(d + 1)**2*(d + 2)/4
Factor 4*l**3 - 6000*l**2.
4*l**2*(l - 1500)
Factor -2*i**3/5 + 16*i**2 - 826*i/5 + 2548/5.
-2*(i - 26)*(i - 7)**2/5
Determine c so that -2*c**5 - 6*c**4 + 10*c**3 + 54*c**2 + 64*c + 24 = 0.
-2, -1, 3
What is s in 5*s**5 - 15*s**4 - 5*s**3 + 35*s**2 - 20 = 0?
-1, 1, 2
Factor -y**3 + 193*y**2/5 - 1491*y/5 - 7497/5.
-(y - 21)**2*(5*y + 17)/5
Factor 16*i**3 - 40*i**2 + 17*i - 2.
(i - 2)*(4*i - 1)**2
Let -28*g**5/9 - 148*g**4/9 - 20*g**3 + 100*g**2/9 + 208*g/9 + 16/3 = 0. Calculate g.
-3, -2, -1, -2/7, 1
Suppose 9*j**4/4 + 510*j**3 + 5389*j**2/4 + 1457*j/2 + 112 = 0. What is j?
-224, -2, -1/3
Let 3*z**5 - 117*z**4/7 - 339*z**3/7 + 837*z**2/7 + 534*z/7 - 72 = 0. Calculate z.
-3, -1, 4/7, 2, 7
Find g, given that -645*g**3/4 - 1925*g**2/4 + 15*g/2 = 0.
-3, 0, 2/129
Solve -2*k**3 - 2262*k**2 + 4532*k = 0.
-1133, 0, 2
Determine f so that -4*f**5/7 - 12*f**4/7 + 68*f**3/7 - 36*f**2/7 - 64*f/7 + 48/7 = 0.
-6, -1, 1, 2
Let 5*x**5/4 - 3*x**4/4 - 37*x**3/4 + 51*x**2/4 - x - 3 = 0. Calculate x.
-3, -2/5, 1, 2
Solve f**5/2 + 62*f**4 + 183*f**3 + 182*f**2 + 121*f/2 = 0 for f.
-121, -1, 0
Let -s**2/4 - 155*s/2 + 156 = 0. Calculate s.
-312, 2
Solve f**4 + 884*f**3 + 196246*f**2 + 389844*f + 194481 = 0 for f.
-441, -1
Factor -g**3/8 - 21*g**2/8 - 39*g/8 - 19/8.
-(g + 1)**2*(g + 19)/8
Factor -2*k**3 - 74*k**2 + 240*k.
-2*k*(k - 3)*(k + 40)
Determine w so that w**2 + 363*w + 362 = 0.
-362, -1
Let 3*i**2 + 198*i + 3267 = 0. Calculate i.
-33
Suppose 9*m**2 + 48*m = 0. Calculate m.
-16/3, 0
Factor 175*x**2 - 25*x - 2.
(5*x - 1)*(35*x + 2)
Factor 12*o**3 + 1576*o**2 + 51216*o - 34848.
4*(o + 66)**2*(3*o - 2)
Factor 2*f**3 - 74*f**2 + 68*f + 144.
2*(f - 36)*(f - 2)*(f + 1)
Factor 5*v**2/4 + 320*v + 20480.
5*(v + 128)**2/4
Determine j, given that j**4/3 - 323*j**3/3 - 325*j**2 - 977*j/3 - 326/3 = 0.
-1, 326
Suppose -3*p**2 + 63*p - 60 = 0. What is p?
1, 20
Find z, given that -4*z**2 - 56*z - 52 = 0.
-13, -1
Solve 4*d**5 - 11408*d**4 + 8156688*d**3 - 32489984*d**