- 1024*q - 1026.
2*(q - 513)*(q + 1)
Factor -3*y**4 + 87*y**3 - 621*y**2 + 1701*y - 1620.
-3*(y - 20)*(y - 3)**3
Factor 2*a**3 + 1632*a**2 + 443904*a + 40247296.
2*(a + 272)**3
What is u in 4*u**2 - 1372*u - 2760 = 0?
-2, 345
Determine l, given that -l**5/4 + l**4/2 + 7*l**3/2 + 2*l**2 - 13*l/4 - 5/2 = 0.
-2, -1, 1, 5
What is v in -10*v**2/9 - 4*v/3 + 6 = 0?
-3, 9/5
Let 4*s**5/3 - 4*s**4 - 16*s**3/3 + 16*s**2 = 0. Calculate s.
-2, 0, 2, 3
Find q such that -2*q**5 + 2*q**4 + 10*q**3 - 2*q**2 - 16*q - 8 = 0.
-1, 2
Suppose 3*t**4/4 + 18*t**3 - 237*t**2/4 + 81*t/2 = 0. What is t?
-27, 0, 1, 2
Factor 5*x**5 - 120*x**4 + 70*x**3 + 980*x**2 + 1245*x + 460.
5*(x - 23)*(x - 4)*(x + 1)**3
Let -2*i**2/3 + 106*i + 1304/3 = 0. Calculate i.
-4, 163
Factor 2*i**3/9 - 2*i**2/9 - 4*i/9.
2*i*(i - 2)*(i + 1)/9
Factor 3*j**2 + 1479*j + 1476.
3*(j + 1)*(j + 492)
Factor -6*f**2 + 321*f + 495.
-3*(f - 55)*(2*f + 3)
Factor -h**2 - 598*h - 89401.
-(h + 299)**2
Factor -3*f**2/8 + 717*f/4 - 171363/8.
-3*(f - 239)**2/8
Determine w so that 3*w**4/7 + 102*w**3/7 + 645*w**2/7 + 78*w = 0.
-26, -7, -1, 0
Suppose -3*c**3/4 - 9*c**2/2 + 3*c/4 + 9/2 = 0. What is c?
-6, -1, 1
Factor -3*f**5 - 15*f**4 - 27*f**3 - 21*f**2 - 6*f.
-3*f*(f + 1)**3*(f + 2)
Suppose y**5/9 + 296*y**4/9 - 298*y**3/9 - 296*y**2/9 + 33*y = 0. What is y?
-297, -1, 0, 1
Factor -z**2/5 + 18*z/5 - 77/5.
-(z - 11)*(z - 7)/5
Factor -3*k**2 + 309*k + 312.
-3*(k - 104)*(k + 1)
Factor -3*h**2 - 201*h + 204.
-3*(h - 1)*(h + 68)
Suppose 5*d**3 + 175*d**2 - 570*d = 0. What is d?
-38, 0, 3
Find n, given that -3*n**3/4 - 360*n**2 = 0.
-480, 0
Factor -u**3/5 - 8*u**2/5 - 7*u/5.
-u*(u + 1)*(u + 7)/5
Let -x**2/2 - 183*x/2 + 92 = 0. What is x?
-184, 1
Factor -2*k**2/15 + 1616*k/15 - 326432/15.
-2*(k - 404)**2/15
What is y in -2*y**2/3 - 14*y + 44/3 = 0?
-22, 1
Let q**3/4 + q**2/4 - q/2 = 0. Calculate q.
-2, 0, 1
Let -23762*l**5 - 95920*l**4 - 122306*l**3 - 51916*l**2 - 1784*l - 16 = 0. What is l?
-2, -1, -2/109
Let -4*c**4 + 2884*c**3 - 694080*c**2 + 55987200*c - 55296000 = 0. What is c?
1, 240
What is t in -5*t**4 - 105*t**3 - 365*t**2 - 435*t - 170 = 0?
-17, -2, -1
Determine j, given that -4*j**5 + 40*j**4 + 52*j**3 - 616*j**2 - 1488*j - 864 = 0.
-2, -1, 6, 9
Factor -24*s**3/5 + 94*s**2/5 - 88*s/5 - 8/5.
-2*(s - 2)**2*(12*s + 1)/5
Suppose -2*n**2 - 858*n - 1708 = 0. What is n?
-427, -2
Let -2*a**4 - 2*a**3 = 0. What is a?
-1, 0
Factor 25*s**2 + 95*s + 60.
5*(s + 3)*(5*s + 4)
Suppose n**2/4 - 171*n/4 = 0. What is n?
0, 171
Solve -3*t**2/5 - 156*t/5 - 2028/5 = 0.
-26
Factor 5*v**4 - 10*v**3 - 45*v**2 + 90*v.
5*v*(v - 3)*(v - 2)*(v + 3)
Suppose -3*u**2/7 - 27*u/7 = 0. What is u?
-9, 0
Determine m so that 3*m**4/7 - 459*m**3/7 - 927*m**2/7 - 465*m/7 = 0.
-1, 0, 155
Factor m**5/3 - 14*m**4/3 + 53*m**3/3 - 76*m**2/3 + 12*m.
m*(m - 9)*(m - 2)**2*(m - 1)/3
Factor t**3/3 + 31*t**2/3 - t/3 - 31/3.
(t - 1)*(t + 1)*(t + 31)/3
Suppose -3*v**5/5 - 39*v**4/5 - 162*v**3/5 - 276*v**2/5 - 168*v/5 = 0. Calculate v.
-7, -2, 0
Suppose -v**2 - 2020*v - 1020100 = 0. What is v?
-1010
Factor -2*i**2/3 + 29*i/3 - 14/3.
-(i - 14)*(2*i - 1)/3
Factor g**2 - 203*g - 204.
(g - 204)*(g + 1)
Let 2*q**5 + 46*q**4 - 730*q**3 - 18734*q**2 + 64736*q + 1925896 = 0. Calculate q.
-17, 14
Determine g so that 6*g**3/7 - 62*g**2/7 + 146*g/7 - 6 = 0.
1/3, 3, 7
Solve -5*y**3 - 360*y**2 - 8640*y - 69120 = 0 for y.
-24
Factor 5*z**3 + 1860*z**2 + 171105*z - 349690.
5*(z - 2)*(z + 187)**2
Factor -5*i**5/4 + 805*i**4/2 - 43730*i**3 + 1658900*i**2 - 6123620*i + 5955080.
-5*(i - 106)**3*(i - 2)**2/4
What is r in 3*r**2/4 + 33*r + 363 = 0?
-22
Find j such that -3*j**2 + 732*j - 729 = 0.
1, 243
Factor 3*a**2/2 + 36*a + 69/2.
3*(a + 1)*(a + 23)/2
Factor -g**2/4 + 371*g/4 - 185/2.
-(g - 370)*(g - 1)/4
Let -2*u**4/7 + 242*u**3/7 + 244*u**2/7 = 0. What is u?
-1, 0, 122
Factor -3*t**3 + 3*t**2 + 3*t - 3.
-3*(t - 1)**2*(t + 1)
Solve 2*p**5 - 46*p**4 + 126*p**3 - 122*p**2 + 40*p = 0 for p.
0, 1, 20
Suppose y**3/2 + 111*y**2/2 - 468*y + 952 = 0. What is y?
-119, 4
Factor -3*h**3/11 - 2*h**2 - 51*h/11 - 36/11.
-(h + 3)**2*(3*h + 4)/11
Find h such that -4*h**4/7 - 2*h**3 + 10*h**2/7 + 8*h/7 = 0.
-4, -1/2, 0, 1
Solve 2*x**3/13 + 250*x**2/13 - 764*x/13 + 512/13 = 0 for x.
-128, 1, 2
Factor 4*c**3 - 148*c**2 - 308*c - 156.
4*(c - 39)*(c + 1)**2
Suppose 2*v**2/13 - 8*v/13 = 0. What is v?
0, 4
Suppose -2*z**3 - 10*z**2/7 + 4*z/7 = 0. What is z?
-1, 0, 2/7
Factor -4*d**2/7 + 300*d/7 - 200.
-4*(d - 70)*(d - 5)/7
Determine o, given that 2*o**5 + 188*o**4 - 208*o**3 - 1692*o**2 + 1710*o = 0.
-95, -3, 0, 1, 3
Solve -250*a**4/9 - 580*a**3/9 + 598*a**2/9 + 256*a/9 - 8/3 = 0 for a.
-3, -2/5, 2/25, 1
Factor -45*x**2 + 215*x + 50.
-5*(x - 5)*(9*x + 2)
Factor 2*m**2 + 10*m.
2*m*(m + 5)
Factor 2*q**2/7 + 1972*q/7 + 486098/7.
2*(q + 493)**2/7
Let -3*x**5 + 105*x**4 + 117*x**3 - 309*x**2 - 534*x - 216 = 0. Calculate x.
-1, 2, 36
Find o such that 4*o**5 + 16*o**4 + 12*o**3 - 16*o**2 - 16*o = 0.
-2, -1, 0, 1
Find j, given that j**5/4 - j**4/2 - 3*j**3/4 + j**2 + j = 0.
-1, 0, 2
What is n in -45*n**2 + 276*n - 36 = 0?
2/15, 6
Factor 2*s**5/17 - 14*s**4/17 - 16*s**3/17.
2*s**3*(s - 8)*(s + 1)/17
Factor 3*b**4/5 + 96*b**3/5 + 492*b**2/5 + 624*b/5.
3*b*(b + 2)*(b + 4)*(b + 26)/5
Factor l**5/4 + 5*l**4/4 + 2*l**3 + l**2.
l**2*(l + 1)*(l + 2)**2/4
Solve -2*f**2/13 - 4604*f/13 - 2649602/13 = 0.
-1151
Let 4*y**5 - 40*y**4 + 148*y**3 - 256*y**2 + 208*y - 64 = 0. Calculate y.
1, 2, 4
Factor n**3 - n**2 - 14*n + 24.
(n - 3)*(n - 2)*(n + 4)
Factor s**3/3 + 43*s**2/3.
s**2*(s + 43)/3
Factor -5*u**4 - 370*u**3 - 6465*u**2 + 14060*u - 7220.
-5*(u - 1)**2*(u + 38)**2
What is o in 15*o**3 - 260*o**2 - 485*o + 190 = 0?
-2, 1/3, 19
Factor -5*s**5 - 120*s**4 + 390*s**3 - 400*s**2 + 135*s.
-5*s*(s - 1)**3*(s + 27)
Factor -5*j**3 + 55*j**2.
-5*j**2*(j - 11)
Solve -3*b**5 - 42*b**4 + 294*b**3 + 132*b**2 - 771*b - 570 = 0 for b.
-19, -1, 2, 5
Factor 8*m**3 - 258*m**2 + 1312*m - 312.
2*(m - 26)*(m - 6)*(4*m - 1)
Factor 4*c**2 + 8*c - 32.
4*(c - 2)*(c + 4)
Factor -6*j**3 - 68*j**2 + 1238*j + 420.
-2*(j - 10)*(j + 21)*(3*j + 1)
Suppose 4*m**2 - 508*m = 0. Calculate m.
0, 127
Solve -3*m**5 - 9*m**4 + 21*m**3 + 45*m**2 - 54*m = 0 for m.
-3, 0, 1, 2
Find h such that 2*h**2/3 + 136*h/3 + 2312/3 = 0.
-34
Factor -q**3/4 + 2*q**2 - 4*q.
-q*(q - 4)**2/4
Solve -7*i**3/3 + 352*i**2/3 - 4475*i/3 + 1250/3 = 0 for i.
2/7, 25
Factor -2*y**5 - 108*y**4 - 106*y**3.
-2*y**3*(y + 1)*(y + 53)
Factor 3*k**2 - 2208*k + 406272.
3*(k - 368)**2
Let 4*y**5 - 264*y**4 + 5808*y**3 - 42592*y**2 = 0. What is y?
0, 22
Solve -p**3 + 31*p**2 - 248*p + 380 = 0.
2, 10, 19
Suppose 2*r**2/3 - 56*r + 166/3 = 0. Calculate r.
1, 83
Factor l**4 + l**3 - 30*l**2 - 32*l + 160.
(l - 5)*(l - 2)*(l + 4)**2
Suppose -27*u**3 + 330*u**2 + 279*u - 78 = 0. Calculate u.
-1, 2/9, 13
Factor -3*c**4/4 + 279*c**3/4 - 1656*c**2 + 1587*c.
-3*c*(c - 46)**2*(c - 1)/4
Factor 2*t**4/9 + 1048*t**3/9 + 20300*t**2 + 10535000*t/9 - 10718750/9.
2*(t - 1)*(t + 175)**3/9
Factor -10*z**3/3 - 148*z**2/3 - 530*z/3 + 112/3.
-2*(z + 7)*(z + 8)*(5*z - 1)/3
Find p such that 39*p**4 + 80*p**3 - 308*p**2 - 16*p = 0.
-4, -2/39, 0, 2
Find p, given that -5*p**3 - 705*p**2 - 2760*p - 2740 = 0.
-137, -2
Factor o**2 + 2*o - 24.
(o - 4)*(o + 6)
Factor -3*h**3/4 + 357*h**2/4 - 10797*h/4 + 10443/4.
-3*(h - 59)**2*(h - 1)/4
Determine t, given that -51*t**5/4 + 78*t**4 + 831*t**3/4 - 102*t**2 - 195*t + 24 = 0.
-2, -1, 2/17, 1, 8
Determine r so that -2*r**4/3 + 119*r**3/3 - 58*r**2 - r/3 + 58/3 = 0.
-1/2, 1, 58
Let -5*j**2 - 10*j - 5 = 0. What is j?
-1
Factor 6*z**2/7 - 496*z/7 + 328/7.
2*(z - 82)*(3*z - 2)/7
Factor x**3 + 205*x**2 + 608*x + 404.
(x + 1)*(x + 2)*(x + 202)
Factor -r**5/9 + 5*r**4/9 - r**3 + 7*r**2/9 - 2*r/9.
-r*(r - 2)*(r - 1)**3/9
Factor 3*j**4 + 723*j**3 - 732*j**2 - 1452*j.
3*j*(j - 2)*(j + 1)*(j + 242)
Suppose 3*y**5 - 15*y**4 - 909*y**3 + 51*y**2 + 2670*y - 1800 = 0. Calculate y.
-15, -2, 1, 20
Factor 4*c**3 + 6*c**2 - 46*c - 24.
2*(c - 3)*(c + 4)*(2*c + 1)
Find o, given that -5*o**2 + 3840*o - 737280 = 0.
384
Factor 2*o**3/19 - 268*o**2/19 + 8978*o/19.
2*o*(o - 67)**2/19
Factor 2*s**4 + 840*s**3 + 89864*s**2 + 349440*s + 346112.
2*(s + 2)**2*(s + 208)**2
Factor -5*f**3 - 27*f**2 - 48*f - 28.
