/5, 362
Let 2*c**5 - 153*c**4 + 2808*c**3 + 4562*c**2 + 78*c - 1521 = 0. Calculate c.
-1, 1/2, 39
Factor 35*s**3 - 1915*s**2 - 4540*s - 1140.
5*(s - 57)*(s + 2)*(7*s + 2)
Suppose x**4/3 + 299*x**3/3 + 22198*x**2/3 - 7700*x - 15000 = 0. Calculate x.
-150, -1, 2
Factor 2*h**3/9 - 18*h**2 + 390*h - 1014.
2*(h - 39)**2*(h - 3)/9
Factor 4*g**2 - 600*g + 3456.
4*(g - 144)*(g - 6)
What is j in -2*j**2 - 478*j + 1452 = 0?
-242, 3
Factor -q**4/5 + 19*q**3/5 + 36*q**2/5 - 68*q + 80.
-(q - 20)*(q - 2)**2*(q + 5)/5
Determine c, given that -4*c**2/5 - 672*c/5 - 28224/5 = 0.
-84
Suppose 3*u**3 - 6*u**2 - 9*u = 0. Calculate u.
-1, 0, 3
Factor b**2/5 + 552*b/5 + 76176/5.
(b + 276)**2/5
Determine b, given that -4*b**3 + 756*b**2 - 2972*b + 2220 = 0.
1, 3, 185
Solve -3*w**4 + 7893*w**3 + 23697*w**2 + 23703*w + 7902 = 0 for w.
-1, 2634
Factor -2*v**5/7 + 22*v**4/7 - 10*v**3 + 50*v**2/7.
-2*v**2*(v - 5)**2*(v - 1)/7
Determine l so that -5*l**5 + 1680*l**4 - 139410*l**3 - 290680*l**2 + 428415*l = 0.
-3, 0, 1, 169
Factor 5*q**5 + 10*q**4 - 180*q**3 + 430*q**2 - 385*q + 120.
5*(q - 3)*(q - 1)**3*(q + 8)
Factor y**3/6 + 5*y**2 + 52*y/3.
y*(y + 4)*(y + 26)/6
Factor s**3/3 - 2*s**2/3 - 128*s + 1056.
(s - 12)**2*(s + 22)/3
Find x such that -4*x**4 - 100*x**3 - 560*x**2 - 1040*x - 576 = 0.
-18, -4, -2, -1
Factor -3*q**3 - 15*q**2 - 12*q.
-3*q*(q + 1)*(q + 4)
Let y**3 + 1034*y**2 + 266252*y - 536648 = 0. What is y?
-518, 2
Factor 10*c**3 + 22*c**2/3 - 8*c/3.
2*c*(c + 1)*(15*c - 4)/3
Factor -2*v**5 - 2*v**4 + 4*v**3.
-2*v**3*(v - 1)*(v + 2)
Solve 5*m**5/2 - 5*m**4/2 - 35*m**3/2 + 65*m**2/2 - 15*m = 0 for m.
-3, 0, 1, 2
Factor 3*l**4/7 + 24*l**3/7 - 27*l**2/7 - 324*l/7 + 324/7.
3*(l - 3)*(l - 1)*(l + 6)**2/7
Let p**2/3 + 8*p/3 + 16/3 = 0. Calculate p.
-4
Determine c, given that 64*c**4/3 + 3616*c**3/3 + 1740*c**2 - 3292*c/3 + 440/3 = 0.
-55, -2, 1/4
Find c such that c**3 + 21*c**2 + 38*c = 0.
-19, -2, 0
Solve -3*h**3 - 3*h**2 + 90*h = 0.
-6, 0, 5
Factor -2*c**5 + 16*c**4 - 50*c**3 + 76*c**2 - 56*c + 16.
-2*(c - 2)**3*(c - 1)**2
Let -w**2 + 3*w + 70 = 0. What is w?
-7, 10
What is g in -6*g**5/7 - 6*g**4/7 + 12*g**3/7 + 12*g**2/7 - 6*g/7 - 6/7 = 0?
-1, 1
Factor 3*n**4 + 1893*n**3 + 299559*n**2 + 293895*n - 595350.
3*(n - 1)*(n + 2)*(n + 315)**2
Factor 5*m**4 - 5*m**2.
5*m**2*(m - 1)*(m + 1)
Factor -10*n**2/3 + 228*n.
-2*n*(5*n - 342)/3
Suppose 2*f**4/5 + 2*f**3 + 12*f**2/5 - 8*f/5 - 16/5 = 0. What is f?
-2, 1
Factor 2*o**2/9 + 2*o/3 - 1196/9.
2*(o - 23)*(o + 26)/9
Solve 23*k**3 + 550*k**2 + 3264*k - 288 = 0 for k.
-12, 2/23
Find f, given that 4*f**2 + 88*f + 288 = 0.
-18, -4
Factor 4*b**2 + 580*b - 3624.
4*(b - 6)*(b + 151)
Determine u, given that u**4 + 13*u**3 + 62*u**2 + 128*u + 96 = 0.
-4, -3, -2
Let 5*n**4/4 - 31*n**3/2 + 69*n**2/4 + 23*n - 11 = 0. Calculate n.
-1, 2/5, 2, 11
Factor x**5 - x**4 - 6*x**3 - 2*x**2 + 5*x + 3.
(x - 3)*(x - 1)*(x + 1)**3
Find o such that 3*o**4 + 243*o**3 - 495*o**2 + 249*o = 0.
-83, 0, 1
Determine x so that 4*x**3 + 40*x**2 + 108*x + 72 = 0.
-6, -3, -1
Factor -447*o**4 - 1782*o**3 + 24*o**2.
-3*o**2*(o + 4)*(149*o - 2)
Factor 8*n**3/11 - 454*n**2/11 - 114*n/11.
2*n*(n - 57)*(4*n + 1)/11
Factor 2*z**4/7 + 12*z**3/7 - 54*z**2/7 - 216*z/7 + 648/7.
2*(z - 3)**2*(z + 6)**2/7
Find x, given that 3*x**5 - 1224*x**4 + 126066*x**3 - 248472*x**2 + 123627*x = 0.
0, 1, 203
Factor 5*b**3 - 75*b**2 - 5*b + 75.
5*(b - 15)*(b - 1)*(b + 1)
Factor -5*d**3 - 20*d**2 - 25*d - 10.
-5*(d + 1)**2*(d + 2)
Factor -m**2/11 - 148*m/11 - 147/11.
-(m + 1)*(m + 147)/11
Find h, given that 3*h**4 - 3*h**3 - 6*h**2 = 0.
-1, 0, 2
Find o such that 70*o**4/3 - 202*o**3/3 - 104*o**2 - 8*o/3 + 32/3 = 0.
-1, -2/5, 2/7, 4
Factor 2*g**2/11 + 864*g/11 - 2610/11.
2*(g - 3)*(g + 435)/11
Factor m**4 + 8*m**3 - 99*m**2 + 90*m.
m*(m - 6)*(m - 1)*(m + 15)
Factor -16*q**3/9 + 148*q**2/9 - 4*q.
-4*q*(q - 9)*(4*q - 1)/9
Factor t**2 - 73*t/3 + 8.
(t - 24)*(3*t - 1)/3
Factor 3*y**2 + 2217*y + 2214.
3*(y + 1)*(y + 738)
Factor -3*i**2 - 363*i - 714.
-3*(i + 2)*(i + 119)
What is n in -2*n**5/3 - 34*n**4 - 380*n**3 + 4052*n**2/3 - 1422*n + 486 = 0?
-27, 1
Factor -r**5 + 4*r**4 - 3*r**3 - 4*r**2 + 4*r.
-r*(r - 2)**2*(r - 1)*(r + 1)
Solve -2*i**5/9 + 2*i**4/3 + 2*i**3/9 - 22*i**2/9 + 8*i/3 - 8/9 = 0.
-2, 1, 2
Find s, given that -s**4/8 - 9*s**3/2 - 17*s**2/4 + 9*s/2 + 35/8 = 0.
-35, -1, 1
Determine n, given that -2*n**5 - 52*n**4 - 258*n**3 - 352*n**2 + 184*n + 480 = 0.
-20, -3, -2, 1
Factor 3*d**2/5 + 2982*d/5 + 741027/5.
3*(d + 497)**2/5
Solve -100*x**4 - 780*x**3 + 244*x**2 + 636*x - 288 = 0.
-8, -1, 3/5
Factor 2*d**3/21 + 38*d**2/21 + 66*d/7 + 54/7.
2*(d + 1)*(d + 9)**2/21
Find q, given that q**4/4 + 2*q**3 + 3*q**2 - 8*q - 16 = 0.
-4, -2, 2
Factor -g**2/8 - 79*g/2 - 315/8.
-(g + 1)*(g + 315)/8
Determine r, given that 5*r**5 + 90*r**4 - 450*r**3 - 160*r**2 + 1365*r + 990 = 0.
-22, -1, 3
Factor 2*q**2/15 - 184*q/15 - 38.
2*(q - 95)*(q + 3)/15
Find x, given that -2*x**3/3 + 214*x**2/15 - 764*x/15 + 272/15 = 0.
2/5, 4, 17
Solve 7*h**2 - 964*h - 276 = 0 for h.
-2/7, 138
What is t in 5*t**3/4 + 415*t**2/4 + 2470*t + 12635 = 0?
-38, -7
Factor -4*k**2/5 - 388*k/5 - 696.
-4*(k + 10)*(k + 87)/5
What is k in -k**5 + 123*k**4 - 359*k**3 - 123*k**2 + 360*k = 0?
-1, 0, 1, 3, 120
Factor -q**2/8 + 175*q/2 - 30625/2.
-(q - 350)**2/8
Solve 2*m**3 + 44*m**2 + 38*m - 84 = 0 for m.
-21, -2, 1
Let 2*k**5 + 104*k**4 + 1240*k**3 - 3020*k**2 - 1242*k + 2916 = 0. Calculate k.
-27, -1, 1, 2
Let -x**4/2 + 7*x**3/2 - 8*x**2 + 6*x = 0. What is x?
0, 2, 3
Suppose 35*u**4 - 1125*u**3 + 11715*u**2 - 35695*u - 39930 = 0. What is u?
-6/7, 11
Determine q, given that q**4/7 + 32*q**3/7 + 366*q**2/7 + 1760*q/7 + 3025/7 = 0.
-11, -5
Suppose -38*q**3 + 116*q**2/3 - 2*q/3 = 0. What is q?
0, 1/57, 1
Factor -2*v**4/9 - 146*v**3/9 - 400*v**2 - 3456*v - 3072.
-2*(v + 1)*(v + 24)**3/9
Factor -f**4/9 - 338*f**3/9 - 4256*f**2 - 1480192*f/9 - 2809856/9.
-(f + 2)*(f + 112)**3/9
Find j such that -2*j**5/5 - 4*j**4/5 + 52*j**3/5 - 162*j/5 - 108/5 = 0.
-6, -1, 3
Let -4*p**5/3 - 16*p**4/3 + 76*p**3/3 + 280*p**2/3 - 128*p - 384 = 0. Calculate p.
-4, -2, 3
Factor -4*s**3 + 8*s**2 + 84*s + 72.
-4*(s - 6)*(s + 1)*(s + 3)
Suppose -7*y**5 - 586*y**4 - 14427*y**3 - 79228*y**2 + 253820*y - 65712 = 0. Calculate y.
-37, -12, 2/7, 2
Suppose 2*a**2/9 + 46*a/9 - 24 = 0. Calculate a.
-27, 4
Determine z so that z**2/2 + 2*z - 21/2 = 0.
-7, 3
Let c**2/2 + 19*c + 37/2 = 0. What is c?
-37, -1
Suppose 2*d**4/7 - 12*d**3/7 - 24*d**2/7 + 16*d + 192/7 = 0. Calculate d.
-2, 4, 6
Suppose 3*b**5/2 + 168*b**4 + 663*b**3/2 + 165*b**2 = 0. What is b?
-110, -1, 0
Solve 10*m**4 + 72*m**3 + 174*m**2 + 152*m + 24 = 0 for m.
-3, -2, -1/5
Factor j**2/6 + 257*j/6 + 127.
(j + 3)*(j + 254)/6
Factor -v**3/6 + 25*v**2/3 - 43*v/6 - 49.
-(v - 49)*(v - 3)*(v + 2)/6
Factor f**2 - 17*f - 60.
(f - 20)*(f + 3)
Factor 380*u**3 - 2284*u**2 + 24*u.
4*u*(u - 6)*(95*u - 1)
Factor 18*b**2 - 274*b + 60.
2*(b - 15)*(9*b - 2)
Let w**2 - 16*w - 132 = 0. What is w?
-6, 22
Factor f**3/5 - 2*f**2 - 52*f/5 - 56/5.
(f - 14)*(f + 2)**2/5
Solve -f**2/7 - 2056*f/7 - 1056784/7 = 0 for f.
-1028
Factor 5*l**2 - 40*l + 35.
5*(l - 7)*(l - 1)
Factor -4*r**4 - 32*r**3 - 52*r**2 - 24*r.
-4*r*(r + 1)**2*(r + 6)
What is s in -s**4/5 - 24*s**3/5 + 36*s**2 = 0?
-30, 0, 6
Factor 3*d**4 + 39*d**3 + 135*d**2 - 75*d - 750.
3*(d - 2)*(d + 5)**3
What is y in 28*y**5 + 484*y**4 + 2096*y**3 + 560*y**2 = 0?
-10, -7, -2/7, 0
Let 2*k**2/7 - 44*k/7 + 144/7 = 0. Calculate k.
4, 18
Factor j**2 - 56*j - 372.
(j - 62)*(j + 6)
Factor -v**4/8 - 131*v**3/4 + 527*v**2/8 - 33*v.
-v*(v - 1)**2*(v + 264)/8
Factor p**2/2 + 145*p/2 + 483.
(p + 7)*(p + 138)/2
Factor v**2 - 410*v + 409.
(v - 409)*(v - 1)
Suppose 6*t**2 - 22*t + 20 = 0. Calculate t.
5/3, 2
Suppose 5*n**2 - 950*n + 45125 = 0. Calculate n.
95
Let -h**3/9 + 11*h**2 = 0. What is h?
0, 99
What is p in -186*p**5/5 - 98*p**4 + 214*p**3 + 18*p**2 - 100*p + 16/5 = 0?
-4, -2/3, 1/31, 1
Factor -2*n**4/7 + 26*n**3/7 + 80*n**2/7 - 200*n.
-2*n*(n - 10)**2*(n + 7)/7
Find y, given that -y**2/2 + 13*y - 25/2 = 0.
1, 25
Factor 3*m**2 - 30*m + 75.
3*(m - 5)**2
Factor b**2 - 1878*b.
b*(b - 1878)
Find q such that -3*q**3 - 138*q**2 = 0.
-46, 0
Find q, given that 3*q**3/5 + 3*q**2 - 3*q/5 - 3 = 0.
-5