*3/11 - 86*m**2/11 - 784*m/11 - 1632/11.
2*(m - 51)*(m + 4)**2/11
Factor 5*p**4 + 20*p**3 + 15*p**2 - 20*p - 20.
5*(p - 1)*(p + 1)*(p + 2)**2
Solve 2*s**3/11 + 38*s**2/11 + 20*s + 400/11 = 0.
-10, -5, -4
Factor -5*o**3 + 30*o**2 - 60*o + 40.
-5*(o - 2)**3
Find o, given that -5*o**4 - 60*o**3 + 215*o**2 - 150*o = 0.
-15, 0, 1, 2
Factor -2*s**3/5 - 232*s**2 + 1162*s/5.
-2*s*(s - 1)*(s + 581)/5
Suppose 3*c**3 - 60*c**2 = 0. Calculate c.
0, 20
Factor -3*w**3/4 - 543*w**2/4 - 25365*w/4 - 71289/4.
-3*(w + 3)*(w + 89)**2/4
Factor -8*x**4 + 12*x**3 + 32*x**2 + 12*x.
-4*x*(x - 3)*(x + 1)*(2*x + 1)
Determine h, given that 28998*h**3 - 13212*h**2 + 1576*h - 16 = 0.
2/179, 2/9
Find v, given that 3*v**4 + 60*v**3 + 354*v**2 + 540*v + 243 = 0.
-9, -1
Factor -2*x**4 - 26*x**3/3 - 20*x**2/3.
-2*x**2*(x + 1)*(3*x + 10)/3
Solve 2*w**3/5 - 8*w**2/5 + 8*w/5 = 0.
0, 2
Determine y, given that -2*y**3/17 + 10*y**2/17 + 8*y/17 - 40/17 = 0.
-2, 2, 5
Suppose -m**2/3 + 151*m/3 + 594 = 0. What is m?
-11, 162
Factor -7*y**3 + 15136*y**2 - 8184251*y + 2337122.
-(y - 1081)**2*(7*y - 2)
What is w in -5*w**3 - 185*w**2 - 1080*w - 900 = 0?
-30, -6, -1
Determine n so that -2*n**5 + 8*n**4 - 2*n**3 - 20*n**2 + 8*n + 16 = 0.
-1, 2
Factor 6*y**2/7 + 250*y/7 - 12.
2*(y + 42)*(3*y - 1)/7
Let z**3/3 + 14*z**2/3 + 49*z/3 = 0. Calculate z.
-7, 0
What is q in q**2/12 + 1351*q + 5475603 = 0?
-8106
Determine l, given that 2*l**2/15 + 292*l/15 - 98/5 = 0.
-147, 1
What is h in 2*h**4/9 - 622*h**3/9 + 1228*h**2/3 - 7336*h/9 + 4880/9 = 0?
2, 305
Suppose 4*q**3 - 272*q**2 + 1524*q - 2232 = 0. What is q?
3, 62
Suppose -z**4 + 15*z**3 - 27*z**2 - 243*z = 0. Calculate z.
-3, 0, 9
Let m**3/4 - 271*m**2/2 + 1619*m/4 - 539/2 = 0. Calculate m.
1, 2, 539
Suppose -34*p**3 + 174*p**2 - 288*p + 152 = 0. Calculate p.
19/17, 2
Factor -2*n**2/17 - 2*n/17 + 12/17.
-2*(n - 2)*(n + 3)/17
Suppose -12*h**3/7 + 72*h**2/7 - 135*h/7 + 81/7 = 0. What is h?
3/2, 3
Factor -3*j**2 + 696*j + 1404.
-3*(j - 234)*(j + 2)
Factor 10*a**3/3 + 194*a**2/3 + 880*a/3 - 200.
2*(a + 10)**2*(5*a - 3)/3
Find u such that -2*u**4/9 - 16*u**3/9 - 34*u**2/9 - 20*u/9 = 0.
-5, -2, -1, 0
Factor -5*a**2 + 135*a + 1190.
-5*(a - 34)*(a + 7)
Solve 3*s**3/2 - 15*s**2 + 27*s/2 = 0.
0, 1, 9
Factor -5*n**2 + 1670*n - 139445.
-5*(n - 167)**2
Find f, given that -3*f**2/5 + 3*f/5 + 168/5 = 0.
-7, 8
Factor -2*y**4/7 + 2*y**3/7.
-2*y**3*(y - 1)/7
Solve 2*v**2/5 = 0.
0
Factor -k**3 - 4*k**2 + 21*k.
-k*(k - 3)*(k + 7)
Factor 5*w**2 - 4410*w + 972405.
5*(w - 441)**2
Solve -d**5/2 - 11*d**4 + 64*d**3 - 93*d**2 + 81*d/2 = 0.
-27, 0, 1, 3
Solve -10*v**2/11 + 276*v/11 - 112 = 0 for v.
28/5, 22
Factor -3*j**5/4 - 87*j**4/4.
-3*j**4*(j + 29)/4
Factor -s**5/4 - 5*s**4/4 + 3*s**3/2.
-s**3*(s - 1)*(s + 6)/4
Factor -o**3/3 - o**2.
-o**2*(o + 3)/3
Suppose 3*x**3/4 - 1074*x**2 + 8583*x/4 - 2145/2 = 0. Calculate x.
1, 1430
Solve -2*v**4/11 + 8*v**3/11 - 10*v**2/11 + 4*v/11 = 0.
0, 1, 2
Factor -a**4/5 + 15*a**3 - 1283*a**2/5 - 975*a + 6084/5.
-(a - 39)**2*(a - 1)*(a + 4)/5
Factor -3*r**2 + 4*r - 1.
-(r - 1)*(3*r - 1)
Factor -50*t**5/3 + 230*t**4 - 956*t**3 + 2020*t**2/3 + 2050*t + 750.
-2*(t - 5)**3*(5*t + 3)**2/3
Determine j, given that j**4/5 - 8*j**3/5 - 57*j**2/5 + 80*j + 448/5 = 0.
-7, -1, 8
Factor -5*f**4 + 315*f**3 + 1365*f**2 - 1675*f.
-5*f*(f - 67)*(f - 1)*(f + 5)
Let 2*l**3/3 + 70*l**2/3 = 0. What is l?
-35, 0
Factor 4*g**2 - 532*g + 10464.
4*(g - 109)*(g - 24)
Factor 4*f**2/7 - 2*f - 8/7.
2*(f - 4)*(2*f + 1)/7
Find h, given that -h**2 - 106*h = 0.
-106, 0
Suppose -x**3/2 + 16*x**2 - 31*x/2 = 0. What is x?
0, 1, 31
Find o such that -28*o**5 - 104*o**4 - 108*o**3 - 16*o**2 + 16*o = 0.
-2, -1, 0, 2/7
Factor q**4/7 - 10*q**3/7 - 11*q**2/7.
q**2*(q - 11)*(q + 1)/7
Factor 3*f**3 - 108*f**2 + 555*f - 450.
3*(f - 30)*(f - 5)*(f - 1)
Suppose -24*i**4 - 76*i**3 + 132*i**2 + 216*i + 32 = 0. Calculate i.
-4, -1, -1/6, 2
Determine w, given that 2*w**3 - 14*w**2 + 12*w = 0.
0, 1, 6
Factor -3*i**5 + 78*i**4 - 723*i**3 + 2760*i**2 - 3648*i + 1536.
-3*(i - 8)**3*(i - 1)**2
Factor 3*x**4 + 6*x**3 - 12*x**2 - 6*x + 9.
3*(x - 1)**2*(x + 1)*(x + 3)
Find t such that 4*t**2/3 - 892*t/3 = 0.
0, 223
Let -3*n**3/4 - 123*n**2/2 = 0. What is n?
-82, 0
Find y such that 21*y**3 - 3396*y**2 + 136809*y + 39366 = 0.
-2/7, 81
Factor -3*f**3/2 + 12969*f**2/2.
-3*f**2*(f - 4323)/2
Factor 2*j**4/5 - 8*j**3/5 - 32*j**2/5 + 32*j/5 + 96/5.
2*(j - 6)*(j - 2)*(j + 2)**2/5
Find n, given that -2*n**4/17 - 16*n**3/17 + 66*n**2/17 = 0.
-11, 0, 3
Solve -14*w**4 - 160*w**3/3 - 134*w**2/3 + 40*w/3 + 8/3 = 0.
-2, -1/7, 1/3
Factor -k**2/6 - 343*k/3 - 685/6.
-(k + 1)*(k + 685)/6
Suppose -8*u**4 - 52*u**3 + 176*u**2 - 44*u - 72 = 0. What is u?
-9, -1/2, 1, 2
Let 32*w**5/13 - 144*w**4/13 + 50*w**3/13 + 54*w**2/13 + 8*w/13 = 0. What is w?
-1/4, 0, 1, 4
Factor 3*m**2/8 + 1011*m/2 + 340707/2.
3*(m + 674)**2/8
Factor 4*f**4 - 996*f**3.
4*f**3*(f - 249)
Factor -j**4/9 + 4*j**3/3 - 3*j**2 - 4*j/9 + 4.
-(j - 9)*(j - 2)**2*(j + 1)/9
Let 5*g**5 - 75*g**4 + 285*g**3 - 365*g**2 + 150*g = 0. Calculate g.
0, 1, 3, 10
Determine a, given that -2*a**5 - 14*a**4 - 32*a**3 - 24*a**2 = 0.
-3, -2, 0
Let 4*k**2/7 - 96*k/7 - 1924/7 = 0. Calculate k.
-13, 37
Factor -b**2/4 - 173*b/4.
-b*(b + 173)/4
Factor -2*l**2 - 19408*l - 47083808.
-2*(l + 4852)**2
Factor -4*b**2/5 + 2928*b/5 - 535824/5.
-4*(b - 366)**2/5
Find g such that 4*g**3 - 144*g**2 - 804*g - 656 = 0.
-4, -1, 41
Suppose -3*c**2/2 - 126*c + 258 = 0. What is c?
-86, 2
Factor -2*r**2/7 - 32*r.
-2*r*(r + 112)/7
Factor -21*d**2 + 12*d + 33.
-3*(d + 1)*(7*d - 11)
Solve b**4 + 4*b**3 - 3*b**2 - 10*b + 8 = 0 for b.
-4, -2, 1
Factor 3*h**2 + 15*h + 18.
3*(h + 2)*(h + 3)
Factor -4*c**2 + 6872*c - 13728.
-4*(c - 1716)*(c - 2)
Let 18*k**4/11 + 102*k**3/11 - 160*k**2/11 + 56*k/11 = 0. What is k?
-7, 0, 2/3
Determine z so that -3*z**4/7 - 15*z**3/7 - 24*z**2/7 - 12*z/7 = 0.
-2, -1, 0
Let -7*k**2/9 - 92*k/9 - 32/3 = 0. Calculate k.
-12, -8/7
Factor 2*u**2/5 + 246*u/5 + 484/5.
2*(u + 2)*(u + 121)/5
Factor -2*n**4/9 + 10*n**3/3 - 16*n**2 + 24*n.
-2*n*(n - 6)**2*(n - 3)/9
Factor 3*b**3/7 - 108*b**2 - 327*b - 1530/7.
3*(b - 255)*(b + 1)*(b + 2)/7
Find c such that -2*c**4/7 - 34*c**3/7 - 136*c**2/7 - 200*c/7 - 96/7 = 0.
-12, -2, -1
Factor 3*j**3 - 162*j**2 + 2340*j - 10200.
3*(j - 34)*(j - 10)**2
Factor 8*d**3/3 - 114*d**2 + 250*d/3 + 28.
2*(d - 42)*(d - 1)*(4*d + 1)/3
Determine j so that -3*j**5 + 87*j**4 - 480*j**3 - 2292*j**2 - 384*j + 3072 = 0.
-2, 1, 16
Determine a, given that 2*a**3 - 20*a**2 + 46*a - 28 = 0.
1, 2, 7
Determine p so that 5*p**5 + 20*p**4 + 25*p**3 + 10*p**2 = 0.
-2, -1, 0
Factor 3*i**4 - 120*i**3 - 513*i**2 - 654*i - 264.
3*(i - 44)*(i + 1)**2*(i + 2)
Factor 2*o**2 - 168*o - 170.
2*(o - 85)*(o + 1)
Find v, given that 2*v**4/17 - 10*v**3/17 + 18*v**2/17 - 14*v/17 + 4/17 = 0.
1, 2
Factor 2*v**4 + 602*v**3 - 2446*v**2 - 1794*v + 10980.
2*(v - 3)**2*(v + 2)*(v + 305)
Determine b so that -b**5/6 - b**4 + 17*b**3/6 + b**2 - 8*b/3 = 0.
-8, -1, 0, 1, 2
Solve 20*s**5 + 145*s**4 + 135*s**3 - 115*s**2 - 155*s - 30 = 0.
-6, -1, -1/4, 1
Factor 20*o**4 + 716*o**3 - 888*o**2.
4*o**2*(o + 37)*(5*o - 6)
Factor 4*m**3 + 212*m**2 - 2420*m + 6300.
4*(m - 5)**2*(m + 63)
Let -3*b**2 + 3921*b = 0. What is b?
0, 1307
Determine o so that -125*o**5 - 46550*o**4 - 18605*o**3 - 1860*o**2 = 0.
-372, -1/5, 0
Suppose -9*p**5/4 + 10*p**4 - 43*p**3/4 - 6*p**2 + 13*p - 4 = 0. What is p?
-1, 4/9, 1, 2
Factor -m**4/3 + 7*m**3/3 + 3*m**2 - 7*m/3 - 8/3.
-(m - 8)*(m - 1)*(m + 1)**2/3
Factor 2*j**5/13 + 14*j**4/13 - 54*j**3/13 + 58*j**2/13 - 20*j/13.
2*j*(j - 1)**3*(j + 10)/13
Find t such that 5*t**5 + 5*t**4 - 95*t**3 - 245*t**2 - 150*t = 0.
-3, -2, -1, 0, 5
Factor -4563365*j**3 - 141135*j**2 - 1455*j - 5.
-5*(97*j + 1)**3
Determine r, given that -3*r**3/2 - 393*r**2/2 + 804*r - 810 = 0.
-135, 2
Factor 3*a**2 - 507*a - 510.
3*(a - 170)*(a + 1)
Suppose -2*s**4 - 12*s**3 + 2*s**2 + 12*s = 0. What is s?
-6, -1, 0, 1
Find t such that 1445*t**4/6 + 78965*t**3/3 + 4259105*t**2/6 - 510950*t + 90750 = 0.
-55, 6/17
Factor v**4/3 - 52*v**3/3 + 101*v**2/3 - 50*v/3.
v*(v - 50)*(v - 1)**2/3
Suppose 768*t**2 + 244*t - 4 = 0. Calculate t.
-1/3, 1/64
Factor y**3/7 + 501*y**2/7 - 288*y + 2020/7.
(y - 2)**2*(y + 505)/7
Dete