120*n**2 - 192*n - 896.
-4*(n - 28)*(n - 4)*(n + 2)
Factor -g**2/2 + 27*g - 52.
-(g - 52)*(g - 2)/2
Factor 2*a**5 - 86*a**4 + 788*a**3 + 2900*a**2 + 3082*a + 1058.
2*(a - 23)**2*(a + 1)**3
Factor 3*o**2 + 48*o + 117.
3*(o + 3)*(o + 13)
What is u in 3*u**4/2 + 15*u**3 - 36*u**2 = 0?
-12, 0, 2
Let -2*i**2/7 + 14780*i/7 - 27306050/7 = 0. What is i?
3695
Determine b, given that 2*b**5 + 44*b**4 + 254*b**3 + 404*b**2 - 256*b - 448 = 0.
-14, -4, -1, 1
Solve 2*j**2 + 6*j/5 = 0.
-3/5, 0
Find r, given that 4*r**3/7 - 16*r**2/7 - 4*r + 40/7 = 0.
-2, 1, 5
Let -4*t**5 + 324*t**4 - 320*t**3 = 0. Calculate t.
0, 1, 80
Suppose 2*f**4/3 + 4*f**3 + 8*f**2 + 20*f/3 + 2 = 0. Calculate f.
-3, -1
Determine n so that 4*n**2/7 + 36*n/7 + 80/7 = 0.
-5, -4
Suppose 4*i**2 - 764*i = 0. Calculate i.
0, 191
Find z, given that -3*z**5 - 3*z**4 + 135*z**3 - 249*z**2 + 120*z = 0.
-8, 0, 1, 5
Factor -5*v**4 - 35*v**3 + 5*v**2 + 35*v.
-5*v*(v - 1)*(v + 1)*(v + 7)
Factor -9*o**3 + 214*o**2 + 273*o + 50.
-(o - 25)*(o + 1)*(9*o + 2)
Determine p, given that -50*p**4 - 210*p**3 - 198*p**2 - 54*p = 0.
-3, -3/5, 0
Find j such that 2*j**5/9 + 2*j**4/9 - 10*j**3/9 + 2*j**2/3 = 0.
-3, 0, 1
Find l such that l**2/7 - 5*l/7 - 36/7 = 0.
-4, 9
Find j, given that -36*j**5 + 244*j**4 - 412*j**3 - 212*j**2 + 624*j + 144 = 0.
-1, -2/9, 2, 3
Let 3*v**4 + 117*v**3 + 1131*v**2 - 117*v - 1134 = 0. What is v?
-21, -18, -1, 1
Factor -43*o**2/8 - 257*o/4 + 3.
-(o + 12)*(43*o - 2)/8
Determine o so that 2*o**5/11 - 12*o**4/11 + 14*o**3/11 + 12*o**2/11 - 16*o/11 = 0.
-1, 0, 1, 2, 4
Factor 36*v**4 + 192*v**3 - 8*v**2 - 704*v + 484.
4*(v - 1)**2*(3*v + 11)**2
What is p in p**4/3 - 4*p**3 + 19*p**2/3 + 4*p - 20/3 = 0?
-1, 1, 2, 10
Solve -2*j**4 + 4*j**3 + 46*j**2 + 24*j - 72 = 0 for j.
-3, -2, 1, 6
What is o in o**3/3 - 7*o**2/3 = 0?
0, 7
Solve s**3/4 - 117*s**2/4 - 30*s + 59 = 0 for s.
-2, 1, 118
Factor i**3/7 - i**2 - 2*i + 48/7.
(i - 8)*(i - 2)*(i + 3)/7
Factor -h**2/4 - 113*h/2.
-h*(h + 226)/4
Solve 5*w**2/3 - 86*w - 104/3 = 0 for w.
-2/5, 52
Suppose 2*l**4 - 38*l**3 - 194*l**2 + 230*l = 0. Calculate l.
-5, 0, 1, 23
Factor n**3/2 + 7*n**2/2 + 6*n.
n*(n + 3)*(n + 4)/2
Factor a**2/4 + 608*a + 369664.
(a + 1216)**2/4
Solve -3*a**3 - 7026*a**2 - 4113723*a = 0 for a.
-1171, 0
Factor -3*g**5/5 - 588*g**4 - 717354*g**3/5 + 288708*g**2 - 723243*g/5.
-3*g*(g - 1)**2*(g + 491)**2/5
Suppose -16*t**2 - 20*t - 4 = 0. What is t?
-1, -1/4
Factor -g**2/11 - 5*g/11 + 14/11.
-(g - 2)*(g + 7)/11
Factor -2*j**3/3 + 7*j**2 - 10*j/3.
-j*(j - 10)*(2*j - 1)/3
Determine a so that 2*a**5/7 - 22*a**4/7 - 292*a**3/7 - 44*a**2 + 1570*a/7 - 950/7 = 0.
-5, 1, 19
Solve 3*q**2 + 216*q + 3888 = 0 for q.
-36
Let -c**3 + 509*c**2 - 65024*c + 64516 = 0. Calculate c.
1, 254
Factor -3*f**4 + 66*f**3 + 681*f**2 + 1152*f + 540.
-3*(f - 30)*(f + 1)**2*(f + 6)
Factor -25*z**3/2 - 15*z**2 + 45*z/2 + 5.
-5*(z - 1)*(z + 2)*(5*z + 1)/2
Find l such that -2*l**5/13 + 16*l**4/13 - 8*l**3/13 - 4*l**2 + 74*l/13 - 28/13 = 0.
-2, 1, 7
Factor -3*k**4 - 39*k**3 - 123*k**2 - 141*k - 54.
-3*(k + 1)**2*(k + 2)*(k + 9)
Let -6*i**4 - 100*i**3 - 230*i**2 - 80*i + 56 = 0. Calculate i.
-14, -2, -1, 1/3
What is q in q**5/3 - 2*q**4/3 - 5*q**3 - 4*q**2/3 + 20*q/3 = 0?
-2, 0, 1, 5
Factor -2*f**3/3 - 16*f**2/3.
-2*f**2*(f + 8)/3
What is c in 4*c**3 - 8*c**2 = 0?
0, 2
Factor -7*x**2/4 - x.
-x*(7*x + 4)/4
Factor v**2/3 - 52*v/3 - 53/3.
(v - 53)*(v + 1)/3
Factor -j**3/3 - 27*j**2 - 155*j/3 + 79.
-(j - 1)*(j + 3)*(j + 79)/3
Determine x, given that -x**5/4 + 5*x**4 - 51*x**3/2 + 8*x**2 + 455*x/4 + 75 = 0.
-1, 5, 12
Factor -5*w**4 - 10*w**3 + 20*w**2 + 40*w.
-5*w*(w - 2)*(w + 2)**2
Factor -d**5 - 6*d**4 - 12*d**3 - 10*d**2 - 3*d.
-d*(d + 1)**3*(d + 3)
Solve 3*c**5 - 12*c**4 - 9*c**3 + 54*c**2 = 0.
-2, 0, 3
Let -j**5/3 - 2*j**4/3 - j**3/3 = 0. What is j?
-1, 0
What is b in -3*b**5 - 213*b**4 - 5178*b**3 - 46230*b**2 - 77763*b - 36501 = 0?
-23, -1
Factor 3*z**4/2 - 6*z**3 + 3*z**2 + 6*z - 9/2.
3*(z - 3)*(z - 1)**2*(z + 1)/2
Factor -35*d**5 + 190*d**4 - 300*d**3 + 40*d**2 + 160*d.
-5*d*(d - 2)**3*(7*d + 4)
Factor v**3/2 - 2*v**2 + v/2 + 3.
(v - 3)*(v - 2)*(v + 1)/2
Suppose -2*c**2/17 - 4*c/17 + 16/17 = 0. What is c?
-4, 2
Factor -v**4/5 - 18*v**3/5 + 4*v**2 + 18*v/5 - 19/5.
-(v - 1)**2*(v + 1)*(v + 19)/5
Let -22*w**5/9 - 161*w**4/9 - 25*w**3/9 + 175*w**2/9 + 47*w/9 - 14/9 = 0. What is w?
-7, -1, -1/2, 2/11, 1
Factor h**2/3 + 218*h/3 + 11881/3.
(h + 109)**2/3
Find x such that x**3/5 - 3*x**2 + 14*x/5 = 0.
0, 1, 14
Suppose 3*c**3 + 6*c**2 - 15*c - 18 = 0. Calculate c.
-3, -1, 2
Find a, given that 2*a**2/9 + 32*a/9 - 38/3 = 0.
-19, 3
Suppose w**2/5 - 14*w/5 - 3 = 0. What is w?
-1, 15
Determine w so that -24*w**5/5 + 6*w**4/5 + 423*w**3/5 + 669*w**2/5 + 321*w/5 + 9 = 0.
-3, -1, -1/2, -1/4, 5
Solve 5*x**3/2 - 35*x**2/2 - 60*x + 450 = 0.
-5, 6
Factor -2*q**2/17 + 80*q/17.
-2*q*(q - 40)/17
Solve -3*j**3 + 15*j**2 + 18*j = 0.
-1, 0, 6
Let -42*s**5 - 124*s**4 - 278*s**3/3 - 80*s**2/3 - 8*s/3 = 0. What is s?
-2, -1/3, -2/7, 0
Solve -2*q**2/11 + 70*q/11 + 72/11 = 0 for q.
-1, 36
Let 3*r**3 + 48*r**2 + 45*r = 0. What is r?
-15, -1, 0
Factor 2*t**4/7 - 708*t**3 + 584808*t**2 - 161017136*t.
2*t*(t - 826)**3/7
What is y in -32*y**3/9 + 22*y**2/3 - 4*y/9 = 0?
0, 1/16, 2
Factor -b**2/6 + 931*b/3 - 866761/6.
-(b - 931)**2/6
Factor -3*d**2 - 69*d + 420.
-3*(d - 5)*(d + 28)
Determine l, given that 4*l**2 - 400*l = 0.
0, 100
Let -s**4/6 + 5*s**3/6 - s**2/3 - 4*s/3 = 0. Calculate s.
-1, 0, 2, 4
What is y in 2*y**5 + 14*y**4 - 94*y**3 - 38*y**2 + 292*y - 176 = 0?
-11, -2, 1, 4
Factor s**4 - 6*s**3 - 72*s**2 + 518*s - 441.
(s - 7)**2*(s - 1)*(s + 9)
Factor -5*u**4 - 35*u**3 - 85*u**2 - 85*u - 30.
-5*(u + 1)**2*(u + 2)*(u + 3)
Factor 2*c**2 + 1158*c.
2*c*(c + 579)
Find g, given that -g**5/3 - g**4 + 2*g**3 + 10*g**2/3 - 7*g + 3 = 0.
-3, 1
Determine j so that -60*j**4 - 235*j**3/2 + 65*j**2 + 235*j/2 - 5 = 0.
-2, -1, 1/24, 1
Determine s, given that 2*s**5/9 + 16*s**4/9 + 38*s**3/9 + 8*s**2/3 = 0.
-4, -3, -1, 0
Let 147*z**4/5 + 21*z**3 - 66*z**2/5 - 24*z/5 = 0. What is z?
-1, -2/7, 0, 4/7
What is z in -4*z**4 + 16*z**3 + 12*z**2 - 72*z = 0?
-2, 0, 3
Factor -5*u**5.
-5*u**5
What is s in -6*s**2/7 + 960*s/7 = 0?
0, 160
Factor u**3/3 - 91*u**2/3 - 185*u/3 - 31.
(u - 93)*(u + 1)**2/3
Determine v so that -v**5/4 + 43*v**4/4 + 69*v**3/2 = 0.
-3, 0, 46
Factor 2*q**3/13 + 44*q**2/13 - 262*q/13 + 216/13.
2*(q - 4)*(q - 1)*(q + 27)/13
Solve 48*l**5 - 492*l**4 + 1899*l**3/4 + 2295*l**2/4 + 243*l/2 = 0.
-3/8, 0, 2, 9
Factor g**4/4 - g**3 - 8*g**2.
g**2*(g - 8)*(g + 4)/4
What is y in -784*y**3/5 - 28*y**2/5 + 64*y - 15 = 0?
-3/4, 5/14
What is c in -c**3/2 - 22*c**2 - 437*c/2 + 529 = 0?
-23, 2
What is o in -5*o**4 - 170*o**3 - 1300*o**2 + 680*o + 5280 = 0?
-22, -12, -2, 2
Factor -c**3/6 - 3*c**2/2 - 4*c - 8/3.
-(c + 1)*(c + 4)**2/6
Solve -4*y**3 - 232*y**2 - 3120*y + 7200 = 0.
-30, 2
Factor -5*i**3 - 180*i**2 + 395*i + 570.
-5*(i - 3)*(i + 1)*(i + 38)
Suppose -5*p**5/3 + 45*p**3 - 250*p**2/3 + 40*p = 0. Calculate p.
-6, 0, 1, 4
Suppose 27*s**5/4 - 549*s**4/4 + 714*s**3 - 102*s**2 - 660*s + 300 = 0. Calculate s.
-1, 2/3, 10
Factor -7*s**2/5 + 46*s/5 + 16.
-(s - 8)*(7*s + 10)/5
Determine h, given that 4*h**4 + 8*h**3 - 4*h**2 - 8*h = 0.
-2, -1, 0, 1
Factor g**3 - 17*g**2 + 91*g - 147.
(g - 7)**2*(g - 3)
Let -3*y**2 - 138*y - 387 = 0. What is y?
-43, -3
Let -5*p**2 - 395*p - 770 = 0. Calculate p.
-77, -2
Determine g, given that -4*g**4 - 8*g**3 + 156*g**2 - 288*g = 0.
-8, 0, 3
Determine z so that 5*z**2 - 75*z = 0.
0, 15
Let -2*a**4/13 - 10*a**3/13 + 12*a**2/13 = 0. What is a?
-6, 0, 1
Factor q**2 - 64*q + 583.
(q - 53)*(q - 11)
Factor y**4/6 - 6*y**3 + 74*y**2/3 + 528*y + 3872/3.
(y - 22)**2*(y + 4)**2/6
Suppose 49*n**2/3 + 445*n/3 + 12 = 0. What is n?
-9, -4/49
Factor -64*c**5 - 560*c**4 - 1585*c**3 - 1305*c**2 + 405*c - 27.
-(c + 3)**3*(8*c - 1)**2
Factor v**3 + 35*v**2 + 202*v + 168.
(v + 1)*(v + 6)*(v + 28)
What is c in -c**3 + 643*c**2/3 - 212*c/3 - 428/3 = 0?
-2/3, 1, 214
Factor -4*n**2 + 16*n + 20.
-4*(n - 5)*(n + 1)
Determine d, given that -3*d**5 + 30*d**4 - 87*d**3 + 96*d**2 - 36*d = 0.
0, 1, 2, 6
Find h such that -h**4/2 + 4*h**3 - 3*h**2 - 4*h + 7/2 = 0.
-1, 1, 7
Determine w, given that 32*w**4/5 + 4*w**3