d y, given that 8*y**5/21 + 10*y**4/21 - 142*y**3/21 - 164*y**2/21 + 32*y/3 + 64/21 = 0.
-4, -2, -1/4, 1, 4
Solve 6*c**4/7 + 28*c**3 + 314*c**2/7 + 124*c/7 = 0 for c.
-31, -1, -2/3, 0
Factor 2*u**5 - 8*u**4 + 12*u**3 - 8*u**2 + 2*u.
2*u*(u - 1)**4
Find l, given that 20*l**5/3 - 1105*l**4 + 44530*l**3 + 312485*l**2/3 + 70280*l + 11760 = 0.
-1, -1/4, 84
Factor -9*u**3 + 93*u**2 - 235*u + 175.
-(u - 7)*(3*u - 5)**2
Solve -2*f**3/7 + 18*f**2/7 - 16*f/7 = 0.
0, 1, 8
Factor a**2 + 74*a.
a*(a + 74)
Determine d so that -3*d**4/7 - 225*d**3/7 + 66*d**2 = 0.
-77, 0, 2
Solve -2*k**2 + 6768*k - 5725728 = 0 for k.
1692
Determine w, given that -w**2 - 386*w - 768 = 0.
-384, -2
Find r, given that -2*r**4 + 4*r**3 + 16*r**2 - 36*r + 18 = 0.
-3, 1, 3
Solve -5*h**2 + 55*h - 50 = 0.
1, 10
Factor -3*o**2 + 6*o - 3.
-3*(o - 1)**2
Find u such that u**5/3 + 196*u**4/3 + 9988*u**3/3 + 12544*u**2 + 12288*u = 0.
-96, -2, 0
Find j, given that 2*j**4/5 + 36*j**3/5 + 24*j**2/5 - 164*j/5 + 102/5 = 0.
-17, -3, 1
Factor -b**5/5 - b**4/5 + 9*b**3/5 - 11*b**2/5 + 4*b/5.
-b*(b - 1)**3*(b + 4)/5
Let -2*h**4 - 26*h**3/7 + 18*h**2/7 + 26*h/7 - 4/7 = 0. What is h?
-2, -1, 1/7, 1
Solve 5*f**5 - 70*f**4 + 350*f**3 - 780*f**2 + 765*f - 270 = 0 for f.
1, 3, 6
Factor -u**3 - 15*u**2/2 + 29*u/2 + 9.
-(u - 2)*(u + 9)*(2*u + 1)/2
Solve -2*a**4/3 + 86*a**3 - 4778*a**2/3 - 3446*a - 5300/3 = 0.
-1, 25, 106
Suppose -27*n**5/7 + 81*n**4/7 + 2883*n**3/7 - 843*n**2 + 3624*n/7 - 660/7 = 0. Calculate n.
-10, 1/3, 2/3, 1, 11
Factor c**4/6 + 2*c**3 - 7*c**2 + 22*c/3 - 5/2.
(c - 1)**3*(c + 15)/6
Factor m**2/2 - 25*m + 561/2.
(m - 33)*(m - 17)/2
Determine o so that -4*o**4 - 52*o**3 + 560*o**2 = 0.
-20, 0, 7
Solve 2*l**3 + 404*l**2 + 802*l + 400 = 0.
-200, -1
Factor -4*s**5 + 8*s**4 + 24*s**3 - 16*s**2 - 52*s - 24.
-4*(s - 3)*(s - 2)*(s + 1)**3
Factor -10*o**3 + 1515*o**2 + 2290*o + 765.
-5*(o - 153)*(o + 1)*(2*o + 1)
Factor 20*f**3 + 136*f**2 - 31*f - 21.
(f + 7)*(2*f - 1)*(10*f + 3)
Factor 12*p**4 + 208*p**3 + 1028*p**2 + 1088*p + 256.
4*(p + 1)*(p + 8)**2*(3*p + 1)
Determine x, given that 3*x**5/5 - 21*x**4/5 - 33*x**3 - 39*x**2 + 162*x/5 + 216/5 = 0.
-3, -2, -1, 1, 12
Factor z**3 - 5*z**2 + 7*z - 3.
(z - 3)*(z - 1)**2
Let 6*h**3 + 34*h**2 - 342*h + 110 = 0. What is h?
-11, 1/3, 5
Factor -2*f**2 + 66*f + 68.
-2*(f - 34)*(f + 1)
Find n, given that n**3/3 - 22*n**2/3 + 41*n/3 - 20/3 = 0.
1, 20
Factor v**2/4 + 113*v/2 + 12769/4.
(v + 113)**2/4
Find i such that 3*i**2/4 - 537*i/4 - 1269 = 0.
-9, 188
Find i such that 2*i**5 + 42*i**4 + 224*i**3 + 408*i**2 + 224*i = 0.
-14, -4, -2, -1, 0
Factor -2*a**2 - 8*a + 24.
-2*(a - 2)*(a + 6)
Suppose -2445*k**3 + 11217*k**2 + 5028*k + 60 = 0. Calculate k.
-2/5, -2/163, 5
Factor 2*j**3/7 - 60*j**2/7 - 414*j/7 + 16928/7.
2*(j - 23)**2*(j + 16)/7
Suppose 5*u**5/4 + 9*u**4/4 - u**3/2 - 5*u**2/2 - 3*u/4 + 1/4 = 0. Calculate u.
-1, 1/5, 1
Suppose -g**3 - 27*g**2 + 120*g + 5200 = 0. What is g?
-20, 13
Factor 12*d**3/11 - 14*d**2/11 + 2*d/11.
2*d*(d - 1)*(6*d - 1)/11
Suppose -5*j**3 + 4860*j**2 - 1180980*j = 0. Calculate j.
0, 486
Factor 3*s**3/5 - 12*s**2 + 384*s/5 - 768/5.
3*(s - 8)**2*(s - 4)/5
Solve -3*p**4 + 15*p**3 + 12*p**2 - 132*p + 144 = 0 for p.
-3, 2, 4
Factor 5*t**3 - 3160*t**2 + 496105*t + 1004890.
5*(t - 317)**2*(t + 2)
Suppose -2*f**4/21 - 26*f**3/3 - 1860*f**2/7 - 19800*f/7 - 18000/7 = 0. What is f?
-30, -1
Factor -3*c**3/7 + 6*c**2/7.
-3*c**2*(c - 2)/7
Factor -13*p**2/10 + 51*p/10 + 2/5.
-(p - 4)*(13*p + 1)/10
Suppose 4*c**4 + 36*c**3 - 40*c**2 = 0. Calculate c.
-10, 0, 1
Factor -3*g**2/7 + 366*g - 78141.
-3*(g - 427)**2/7
Determine c, given that 2*c**5 + 41*c**4 + 158*c**3 - 335*c**2 + 22*c + 112 = 0.
-14, -8, -1/2, 1
Let -2*o**4 - 428*o**3 - 424*o**2 + 428*o + 426 = 0. Calculate o.
-213, -1, 1
Let 4*v**2 + 416*v = 0. What is v?
-104, 0
Find w such that 324*w**4 - 6336*w**3 + 28240*w**2 + 13504*w + 1536 = 0.
-2/9, 8, 12
Suppose -58*h**2 - 488*h + 546 = 0. Calculate h.
-273/29, 1
Determine f, given that f**2/3 + 136*f/3 + 655/3 = 0.
-131, -5
Determine r, given that -r**2 - 78*r - 1521 = 0.
-39
Factor -5*g**4 - 205*g**3 - 870*g**2 + 1080*g.
-5*g*(g - 1)*(g + 6)*(g + 36)
Solve w**2/4 + 65*w/4 + 437/2 = 0.
-46, -19
What is k in 2*k**5/5 - 22*k**4/5 + 14*k**3/5 + 62*k**2/5 - 16*k/5 - 8 = 0?
-1, 1, 2, 10
Factor -5*h**2/2 - 240*h - 5760.
-5*(h + 48)**2/2
Determine o so that 4*o**3 + 12984*o**2 + 10549488*o + 21047072 = 0.
-1622, -2
Find w, given that 231*w**2/5 + 15*w + 6/5 = 0.
-2/11, -1/7
Find t, given that t**4/6 + 61*t**3/3 + 20*t**2 - 61*t/3 - 121/6 = 0.
-121, -1, 1
Let -5*z**5 + 28*z**4 + 17*z**3 - 28*z**2 - 12*z = 0. What is z?
-1, -2/5, 0, 1, 6
Factor 3*t**5 - 150*t**4 - 1482*t**3 + 5316*t**2 - 5601*t + 1914.
3*(t - 58)*(t - 1)**3*(t + 11)
Factor -2*g**2 - 152*g + 154.
-2*(g - 1)*(g + 77)
Factor 3*b**2 + 36*b + 105.
3*(b + 5)*(b + 7)
Suppose 2*r**5 - 690*r**4 + 60540*r**3 - 177500*r**2 + 176130*r - 58482 = 0. What is r?
1, 171
Determine a, given that a**2 + 8*a - 20 = 0.
-10, 2
Determine k so that k**2/2 + 23*k/2 + 21 = 0.
-21, -2
Find w such that -w**4/3 + 20*w**3/3 + w**2/3 - 20*w/3 = 0.
-1, 0, 1, 20
Suppose 27*w**3/5 - 1356*w**2/5 + 60*w = 0. Calculate w.
0, 2/9, 50
Factor 2*v**2 - 6984*v - 6986.
2*(v - 3493)*(v + 1)
Determine z so that -40*z**3 + 2370*z**2 - 1155*z - 1175 = 0.
-1/2, 1, 235/4
Solve -4*y**4 - 392*y**3 - 12672*y**2 - 130680*y + 143748 = 0.
-33, 1
Factor -2*g**2/3 - 94*g.
-2*g*(g + 141)/3
Factor -2*m**2 + m/2.
-m*(4*m - 1)/2
Factor -y**4/3 + 491*y**3 - 1471*y**2 + 4411*y/3 - 490.
-(y - 1470)*(y - 1)**3/3
Factor -2*s**2 + 240*s - 7200.
-2*(s - 60)**2
Determine u so that -4*u**2 - 480*u - 14400 = 0.
-60
Determine r so that 2*r**4/13 - 14*r**3/13 + 34*r**2/13 - 34*r/13 + 12/13 = 0.
1, 2, 3
Factor -p**4/2 + 833*p**3 - 695553*p**2/2 + 693056*p - 346112.
-(p - 832)**2*(p - 1)**2/2
Determine n, given that 2*n**3/3 - 40*n**2/3 + 128*n/3 = 0.
0, 4, 16
Find p such that 3*p**3 - 1584*p**2 + 278784*p - 16355328 = 0.
176
Factor 3*u**2/7 - 16404*u/7 + 22424268/7.
3*(u - 2734)**2/7
Factor -3*z**3 - z**2 + 12*z + 4.
-(z - 2)*(z + 2)*(3*z + 1)
Find y such that -21*y**4/2 - 6*y**3 + 93*y**2/2 + 24*y - 18 = 0.
-2, -1, 3/7, 2
Factor b**3/5 + 68*b**2/5 - 105*b.
b*(b - 7)*(b + 75)/5
Determine h so that -2*h**5/7 - 582*h**4/7 - 580*h**3/7 = 0.
-290, -1, 0
Solve -2*i**3 - 14*i**2 + 146*i - 130 = 0.
-13, 1, 5
Factor -2*b**2 + 112*b - 1568.
-2*(b - 28)**2
Factor 2*m**2/7 + 60*m/7 + 16.
2*(m + 2)*(m + 28)/7
Let 3*i**4/5 + 27*i**3/5 - 66*i**2/5 = 0. Calculate i.
-11, 0, 2
Let -5*v**4 + 2130*v**3 - 2125*v**2 = 0. Calculate v.
0, 1, 425
Solve -k**3/4 + 25*k**2/4 + 13*k/2 = 0 for k.
-1, 0, 26
Determine n so that 2*n**4/11 + 6*n**3/11 - 2*n**2/11 - 6*n/11 = 0.
-3, -1, 0, 1
Factor -3*s**3 + 36*s**2 - 144*s + 192.
-3*(s - 4)**3
Find c, given that -12*c**4 + 16*c**3 + 8*c**2 - 16*c + 4 = 0.
-1, 1/3, 1
Suppose -a**3 + 269*a**2 - 2615*a + 6475 = 0. What is a?
5, 259
Factor -j**2 + 2440*j - 1488400.
-(j - 1220)**2
Determine j, given that -9*j**5 - 102*j**4 - 243*j**3 + 318*j**2 + 252*j - 216 = 0.
-6, -1, 2/3, 1
Solve 5*o**5 + 10*o**4 - 5*o**3 - 10*o**2 = 0 for o.
-2, -1, 0, 1
Find n such that -6*n**4/7 + 10*n**3/7 - 2*n**2/7 - 2*n/7 = 0.
-1/3, 0, 1
Factor -4*k**4 - 100*k**3 - 756*k**2 - 972*k + 5832.
-4*(k - 2)*(k + 9)**3
Factor 3*w**3 + 30*w**2 + 96*w + 96.
3*(w + 2)*(w + 4)**2
Let h**4/8 - 3*h**3/4 - h**2 + 3*h/4 + 7/8 = 0. What is h?
-1, 1, 7
Factor 2*h**2/7 - 400*h/7 + 20000/7.
2*(h - 100)**2/7
Solve -2*v**4/3 - 28*v**3 - 120*v**2 + 2512*v/3 - 960 = 0 for v.
-36, -10, 2
Solve 5*f**5 + 30*f**4 - 10*f**3 - 60*f**2 + 5*f + 30 = 0.
-6, -1, 1
Suppose 3*p**3/2 - 162*p**2 + 639*p/2 - 159 = 0. Calculate p.
1, 106
Factor b**2/2 + 23*b/2 - 87.
(b - 6)*(b + 29)/2
Determine w, given that 36*w**3 + 300*w**2 + 352*w + 112 = 0.
-7, -2/3
Factor 5*n**4 + 70*n**3 + 300*n**2 + 520*n + 320.
5*(n + 2)**3*(n + 8)
Factor -2*s**2 + 424*s + 426.
-2*(s - 213)*(s + 1)
Factor 5*x**4 + 30*x**3 + 40*x**2.
5*x**2*(x + 2)*(x + 4)
Solve 786432*a**5/7 + 675840*a**4/7 - 1678272*a**3/7 + 226287*a**2/7 - 10449*a/7 + 162/7 = 0.
-2, 3/64, 1
Factor -2*x**3/11 - 2070*x**2/11 - 534576*x/11 + 536648/11.
-2*(x - 1)*(x + 518)**2/11
What is f in -9*f**4/2 + 15*f**3/2 + 6*f**2 - 6*f = 0?
-1, 0, 2/3, 2
Determine 