 228)*(l + 5)**2
Determine o so that -49*o**3/6 - 87689*o**2/6 - 25048*o/3 - 3578/3 = 0.
-1789, -2/7
Factor 2*t**3/5 + 26*t**2/5 + 44*t/5.
2*t*(t + 2)*(t + 11)/5
Factor 2*l**3/3 - 54*l**2 + 1120*l - 3200/3.
2*(l - 40)**2*(l - 1)/3
Determine u, given that -u**3/5 + 41*u**2/5 + 42*u/5 = 0.
-1, 0, 42
Solve -20*q**3 - 128*q**2 - 140*q = 0.
-5, -7/5, 0
Determine u, given that -4*u**4 - 6880*u**3/7 - 31884*u**2/7 - 17320*u/7 + 7712/7 = 0.
-241, -4, -1, 2/7
Factor 2*u**2/5 - 2702*u/5.
2*u*(u - 1351)/5
Factor -4*t**2/3 - 8*t + 28/3.
-4*(t - 1)*(t + 7)/3
Suppose -686*l**4/3 + 7840*l**3 - 89600*l**2 + 1024000*l/3 = 0. Calculate l.
0, 80/7
Find s, given that -2523*s**2/5 - 1566*s - 1215 = 0.
-45/29
Suppose 5*x**3 - 425*x**2 + 1240*x - 820 = 0. What is x?
1, 2, 82
Solve -34*s**3 + 28*s**2 + 46*s - 40 = 0 for s.
-20/17, 1
Factor -x**3/6 + 5*x**2/6 + 161*x/6 - 55/2.
-(x - 15)*(x - 1)*(x + 11)/6
Let u**4 + 10*u**3 - 103*u**2 + 260*u - 204 = 0. What is u?
-17, 2, 3
Factor -i**3/8 - 33*i**2/8.
-i**2*(i + 33)/8
Find h, given that -h**4 + 178*h**3 + 911*h**2 + 732*h = 0.
-4, -1, 0, 183
Determine i so that -6*i**4/7 + 128*i**3/7 - 38*i**2/7 - 12*i = 0.
-2/3, 0, 1, 21
Factor -2*w**2/3 - 709*w/3 - 118.
-(w + 354)*(2*w + 1)/3
Factor -3*n**4/7 + 9*n**3/7 - 12*n/7.
-3*n*(n - 2)**2*(n + 1)/7
Solve p**2/2 - 409*p + 817/2 = 0.
1, 817
Factor r**5/7 - 6*r**4/7 + 9*r**3/7 + 4*r**2/7 - 12*r/7.
r*(r - 3)*(r - 2)**2*(r + 1)/7
Find s such that 19*s**2/3 - 29*s - 40/3 = 0.
-8/19, 5
Find k, given that 4*k**3 + 88*k**2 + 304*k + 288 = 0.
-18, -2
Find d such that -d**5/3 - 23*d**4/3 - 55*d**3/3 + 103*d**2/3 + 56*d/3 - 80/3 = 0.
-20, -4, -1, 1
Solve 45*d**3 - 8290*d**2 + 26275*d - 5430 = 0 for d.
2/9, 3, 181
Determine d so that -d**5/3 - d**4 + 98*d**3/3 + 98*d**2 - 2401*d/3 - 2401 = 0.
-7, -3, 7
Determine x so that 15*x**5 + 122*x**4 + 106*x**3 - 108*x**2 - 121*x - 14 = 0.
-7, -1, -2/15, 1
Find n, given that 15*n**4 + 9*n**3 - 156*n**2 + 180*n - 48 = 0.
-4, 2/5, 1, 2
Determine z, given that -8*z**4/17 - 222*z**3/17 + 336*z**2/17 + 1322*z/17 - 348/17 = 0.
-29, -2, 1/4, 3
Determine l, given that -2*l**4/7 - 163*l**3/7 - 3441*l**2/7 - 4880*l/7 - 1600/7 = 0.
-40, -1, -1/2
Let 30*w**4 - 55*w**3/2 + 5*w**2 = 0. Calculate w.
0, 1/4, 2/3
Factor t**2 - 243*t.
t*(t - 243)
Factor 14*c**3/5 - 35136*c**2/5 + 4408062*c + 1260020.
2*(c - 1255)**2*(7*c + 2)/5
Factor 4*p**5/7 + 32*p**4/7 + 48*p**3/7 - 8*p**2/7 - 52*p/7 - 24/7.
4*(p - 1)*(p + 1)**3*(p + 6)/7
Suppose -2*x**3 - 156*x**2/5 - 86*x/5 + 12 = 0. Calculate x.
-15, -1, 2/5
Find o, given that -8*o**4 + 68*o**3 - 72*o**2 - 92*o + 56 = 0.
-1, 1/2, 2, 7
Let -m**2/7 - 41*m + 1758/7 = 0. What is m?
-293, 6
Solve -4*q**4 - 40*q**3 + 204*q**2 - 272*q + 112 = 0 for q.
-14, 1, 2
Factor 5*r**4 + 65*r**3 + 150*r**2 - 20*r - 200.
5*(r - 1)*(r + 2)**2*(r + 10)
Factor 900*j**2 - 240*j + 16.
4*(15*j - 2)**2
Solve 5*z**3/3 - 1685*z**2/3 - 1700*z/3 + 3380/3 = 0.
-2, 1, 338
Solve -2*l**2/15 - 104*l/5 = 0 for l.
-156, 0
Solve -3*n**2/7 - 1440*n/7 + 1443/7 = 0.
-481, 1
Let w**5 - 53*w**4/3 + 79*w**3 - 131*w**2/3 - 200*w - 176/3 = 0. What is w?
-1, -1/3, 4, 11
Determine n, given that n**4/3 - 14*n**3/3 + 53*n**2/3 - 76*n/3 + 12 = 0.
1, 2, 9
Factor c**2/2 - 9/2.
(c - 3)*(c + 3)/2
Suppose -20*z**5/9 - 256*z**4/9 - 128*z**3 - 2368*z**2/9 - 2240*z/9 - 256/3 = 0. Calculate z.
-6, -2, -4/5
Solve -f**3 + 1035*f**2 - 357075*f + 41063625 = 0.
345
Let -w**3/6 + 2*w**2/3 + w/6 - 2/3 = 0. What is w?
-1, 1, 4
Determine a, given that 2*a**2/3 + 404*a + 61206 = 0.
-303
Solve 4*r**2 - 112*r - 240 = 0.
-2, 30
Solve 2*m**2 - 32*m + 126 = 0 for m.
7, 9
Factor -2*s**4/17 + 18*s**3/17 + 140*s**2/17.
-2*s**2*(s - 14)*(s + 5)/17
Factor 2*f**3 - 38*f - 60.
2*(f - 5)*(f + 2)*(f + 3)
Factor 3*b**3 - 30*b**2 - 123*b + 990.
3*(b - 11)*(b - 5)*(b + 6)
What is y in -2*y**2/15 - 248*y/15 = 0?
-124, 0
Factor 5*p**5/4 + 255*p**4 + 55005*p**3/4 + 152975*p**2/2 + 148995*p + 98010.
5*(p + 2)**3*(p + 99)**2/4
Solve 5*n**4 - 35*n**3 + 20*n**2 + 60*n = 0.
-1, 0, 2, 6
Solve -s**3 - 21*s**2 - 120*s - 100 = 0 for s.
-10, -1
Solve 2*v**3/21 + 2*v**2 - 44*v/21 = 0.
-22, 0, 1
Factor -4*j**2 - 48*j - 80.
-4*(j + 2)*(j + 10)
Find p, given that -2312*p**5 - 6528*p**4 - 5730*p**3 - 1142*p**2 + 354*p - 18 = 0.
-1, 3/34
Solve -3*y**4 + 42*y**3 + 1284*y**2 + 4536*y + 4320 = 0 for y.
-12, -2, 30
Solve a**5 + 27*a**4 + 62*a**3 - 1654*a**2 + 3009*a - 1445 = 0.
-17, 1, 5
Factor -z**4 - 42*z**3 - 225*z**2 - 328*z - 144.
-(z + 1)**2*(z + 4)*(z + 36)
Let -2*i**4 - 20*i**3 - 66*i**2 - 88*i - 40 = 0. What is i?
-5, -2, -1
Suppose 4*x**2 - 16*x - 20 = 0. What is x?
-1, 5
Solve -4*l**4 + 172*l**3/5 - 228*l**2/5 + 4*l + 56/5 = 0 for l.
-2/5, 1, 7
Factor -z**5/2 + 287*z**4/4 - 2556*z**3 - 1296*z**2.
-z**2*(z - 72)**2*(2*z + 1)/4
Find o, given that -o**4/4 - 15*o**3 + 63*o**2/4 + 61*o/2 = 0.
-61, -1, 0, 2
Determine r, given that r**3/5 + 6*r**2/5 + 9*r/5 + 4/5 = 0.
-4, -1
Solve 20*s**3 + 315*s**2 + 480*s - 140 = 0 for s.
-14, -2, 1/4
Factor 5*x**5 + 35*x**4 + 95*x**3 + 125*x**2 + 80*x + 20.
5*(x + 1)**3*(x + 2)**2
Factor -x**4/2 + 7*x**3/2 + 60*x**2 + 184*x + 128.
-(x - 16)*(x + 1)*(x + 4)**2/2
Factor -4*j**2 - 20*j - 16.
-4*(j + 1)*(j + 4)
Find t such that -50*t**5 + 610*t**4 - 2188*t**3 + 1544*t**2 + 2448*t + 576 = 0.
-2/5, 3, 4, 6
Factor z**5/5 + 9*z**4/5 - 22*z**3/5 + 2*z**2/5 + 21*z/5 - 11/5.
(z - 1)**3*(z + 1)*(z + 11)/5
Let 2*q**5 + 13*q**4 - 13*q**3 - 107*q**2 + 155*q - 50 = 0. What is q?
-5, 1/2, 1, 2
Solve -8*g**2/7 - 10*g/7 + 24 = 0.
-21/4, 4
Determine r so that -2*r**4/7 - 12*r**3/7 - 8*r**2/7 + 12*r/7 + 10/7 = 0.
-5, -1, 1
Factor 7*p**5 + 304*p**4 + 706*p**3 + 364*p**2 - 209*p - 164.
(p + 1)**3*(p + 41)*(7*p - 4)
What is b in 4*b**4 + 119*b**3 + 78*b**2 - 259*b + 58 = 0?
-29, -2, 1/4, 1
Find z such that 14*z**3/3 - 52*z**2/3 - 86*z/3 - 20/3 = 0.
-1, -2/7, 5
Factor 3*f**2/5 - 87*f/5 + 162/5.
3*(f - 27)*(f - 2)/5
Factor -w**4 + 9*w**3/2 + 4*w**2 - 15*w/2.
-w*(w - 5)*(w - 1)*(2*w + 3)/2
Let -42*f**2/19 + 256*f/19 - 24/19 = 0. Calculate f.
2/21, 6
Determine z so that -6*z**5 - 92*z**4 + 70*z**3 + 92*z**2 - 64*z = 0.
-16, -1, 0, 2/3, 1
Solve -a**3 - 49*a**2 - 46*a + 96 = 0.
-48, -2, 1
Solve -3*l**5/5 + 2271*l**4/5 - 428649*l**3/5 - 430923*l**2/5 = 0.
-1, 0, 379
Find v, given that -v**3 - 405*v**2 - 807*v - 403 = 0.
-403, -1
Determine l, given that -l**3/5 + 6*l**2/5 - 9*l/5 + 4/5 = 0.
1, 4
Find k, given that 3*k**4 + 15*k**3 - 9*k**2 - 39*k + 30 = 0.
-5, -2, 1
What is o in 4*o**5/5 + 54*o**4/5 - 32*o**3 + 2*o**2 + 156*o/5 - 64/5 = 0?
-16, -1, 1/2, 1, 2
Find j, given that 2*j**5 - 11*j**4 + 23*j**3 - 23*j**2 + 11*j - 2 = 0.
1/2, 1, 2
Factor -26*r**3/5 - 14*r**2/5 + 12*r/5.
-2*r*(r + 1)*(13*r - 6)/5
Find i such that i**5/4 - 1565*i**4/2 + 2449225*i**3/4 = 0.
0, 1565
Solve -2*g**5/25 + 32*g**4/25 - 2*g**3 - 84*g**2/25 = 0 for g.
-1, 0, 3, 14
Factor -w**4/3 + 2*w**3/3 + 9*w**2 + 52*w/3 + 28/3.
-(w - 7)*(w + 1)*(w + 2)**2/3
Factor -4*n**4 - 1824*n**3 - 206104*n**2 + 417696*n - 209764.
-4*(n - 1)**2*(n + 229)**2
Suppose -3*w**2 - 60*w + 2967 = 0. Calculate w.
-43, 23
Factor -7*f**3/3 + 17*f**2/3 + 50*f/3 - 8.
-(f - 4)*(f + 2)*(7*f - 3)/3
Factor -y**4 + 9*y**2 + 4*y - 12.
-(y - 3)*(y - 1)*(y + 2)**2
Factor -z**3/2 - 57*z**2/2 - 82*z - 54.
-(z + 1)*(z + 2)*(z + 54)/2
Determine r so that 4*r**5 - 16*r**4 - 20*r**3 = 0.
-1, 0, 5
What is o in -3*o**4 - 3924*o**3 - 1924722*o**2 - 419589396*o - 34301433123 = 0?
-327
Factor 2*s**2 - 98.
2*(s - 7)*(s + 7)
Factor -5*k**2 + 645*k.
-5*k*(k - 129)
Find u such that 5*u**2 + 70*u + 65 = 0.
-13, -1
Factor 2*m**3/7 + 6*m**2 + 208*m/7.
2*m*(m + 8)*(m + 13)/7
Factor 2*z**5 - 24*z**4 + 4*z**3 + 176*z**2 + 234*z + 88.
2*(z - 11)*(z - 4)*(z + 1)**3
Determine i, given that i**3/4 + 10*i**2 + 357*i/4 - 441/2 = 0.
-21, 2
Factor -2*u**3/15 + 1142*u**2/5 - 652082*u/5 + 372338822/15.
-2*(u - 571)**3/15
Factor 5*t**4/2 - 305*t**3/2 + 595*t**2/2 - 295*t/2.
5*t*(t - 59)*(t - 1)**2/2
Factor -26*z**4/15 + 158*z**3/15 - 108*z**2/5 + 232*z/15 - 16/15.
-2*(z - 2)**3*(13*z - 1)/15
Suppose 2*p**2/7 - 272*p/7 + 270/7 = 0. Calculate p.
1, 135
Suppose -p**5 + 299*p**4 - 1478*p**3 + 2356*p**2 - 1176*p = 0. Calculate p.
0, 1, 2, 294
Factor 30*g**3 + 2192*g**2 + 2306*g + 144.
2*(g + 1)*(g + 72)*(15*g + 1)
Factor 1