p so that -p**3/4 + 143*p**2/4 - 34*p - 213 = 0.
-2, 3, 142
Factor z**4/4 + 23*z**3/2 - 47*z**2/4.
z**2*(z - 1)*(z + 47)/4
Factor q**2/7 + 71660*q/7 - 143324/7.
(q - 2)*(q + 71662)/7
Find r, given that 94*r**5/7 + 38*r**4 + 124*r**3/7 - 284*r**2/7 - 346*r/7 - 110/7 = 0.
-1, 55/47
Factor -q**3/7 - 7810*q**2/7 - 16241697*q/7 - 3811078188/7.
-(q + 268)*(q + 3771)**2/7
Solve -584*h**2 - 1892*h + 1092 = 0 for h.
-273/73, 1/2
Find p such that 2*p**5 - 392*p**4/5 + 1478*p**3/5 - 56*p**2 = 0.
0, 1/5, 4, 35
Factor -g**4 + 632*g**3 + g**2 - 632*g.
-g*(g - 632)*(g - 1)*(g + 1)
Let -2*d**3/5 - 2036*d**2/5 + 26782*d/5 - 24744/5 = 0. What is d?
-1031, 1, 12
Factor -4*w**3 + 4268*w**2 - 4216*w - 51168.
-4*(w - 1066)*(w - 4)*(w + 3)
Suppose 2*w**2/17 + 604*w/17 + 4130/17 = 0. What is w?
-295, -7
Determine q so that -848*q**4 - 870*q**3 - 22*q**2 = 0.
-1, -11/424, 0
Solve 2*a**5 + 78*a**4 + 184*a**3 - 1128*a**2 + 864*a = 0 for a.
-36, -6, 0, 1, 2
Suppose 4*r**2/7 + 10320*r/7 + 10316/7 = 0. What is r?
-2579, -1
Suppose 5*o**3 - 11640*o**2 - 187520*o = 0. Calculate o.
-16, 0, 2344
Suppose 3*o**2 - 483*o + 480 = 0. What is o?
1, 160
Solve 5*n**4 + 16185*n**3 - 48620*n**2 - 64800*n = 0 for n.
-3240, -1, 0, 4
Let 2*b**2 + 62062*b = 0. Calculate b.
-31031, 0
Factor p**4/3 - 19*p**3/3 - 296*p**2 - 5936*p/3 - 11008/3.
(p - 43)*(p + 4)**2*(p + 16)/3
Suppose -2*y**4/11 + 62*y**3/11 + 338*y**2/11 - 2078*y/11 + 1680/11 = 0. What is y?
-8, 1, 3, 35
Find t, given that 4*t**5 - 128*t**4 + 1228*t**3 - 3120*t**2 = 0.
0, 4, 13, 15
Determine s so that s**4/5 - 386*s**3/5 - 7608*s**2/5 - 35118*s/5 - 9477 = 0.
-13, -3, 405
Factor -5*v**4 - 600*v**3 + 1845*v**2.
-5*v**2*(v - 3)*(v + 123)
Let -h**5/4 + 141*h**4/4 - 3685*h**3/4 + 13215*h**2/4 - 7967*h/2 + 1566 = 0. What is h?
1, 2, 29, 108
What is t in 3*t**5/8 - 69*t**4/2 + 621*t**3/4 + 1353*t**2/2 + 5979*t/8 + 261 = 0?
-1, 8, 87
Find c, given that -44*c**3 - 428*c**2 - 288*c = 0.
-9, -8/11, 0
Factor 3*n**2/2 + 29316*n + 143237976.
3*(n + 9772)**2/2
Solve -b**2/8 + 91587*b/8 + 91589/4 = 0.
-2, 91589
Factor -f**2/2 - 103*f - 9709/2.
-(f + 73)*(f + 133)/2
Solve -2*f**5/9 + 760*f**4/9 - 57676*f**3/9 - 2859976*f**2/9 - 615986*f - 304704 = 0 for f.
-32, -1, 207
Factor -2*y**2/3 - 4484*y/3 + 4486/3.
-2*(y - 1)*(y + 2243)/3
Suppose 3*k**2/5 + 1782*k/5 - 242136/5 = 0. Calculate k.
-708, 114
Factor 4*r**2 + 30828*r + 30824.
4*(r + 1)*(r + 7706)
What is k in k**5/5 - 8*k**4 + 25*k**3 + 134*k**2 + 504*k/5 = 0?
-2, -1, 0, 7, 36
Factor 2*h**3 - 15766*h**2 + 31494*h + 236430.
2*(h - 7881)*(h - 5)*(h + 3)
Let -4*x**3 + 3392*x**2 - 66240*x = 0. What is x?
0, 20, 828
Factor -3*k**3/4 + 63*k**2/4 + 3*k - 63.
-3*(k - 21)*(k - 2)*(k + 2)/4
Suppose -2*c**4/15 + 628*c**3/15 - 11272*c**2/3 + 307856*c/5 + 6775104/5 = 0. What is c?
-12, 42, 142
Determine n, given that -5*n**4 - 95*n**3 + 285*n**2 + 8775*n = 0.
-15, -13, 0, 9
Factor 2*k**3/15 - 11188*k**2/15 + 5318326*k/5 - 286248144/5.
2*(k - 2769)**2*(k - 56)/15
Suppose -h**5/3 - h**4 + 982*h**3 + 60550*h**2/3 - 43307*h + 22143 = 0. What is h?
-33, 1, 61
Find v, given that -5*v**5 - 220*v**4 - 1390*v**3 + 1840*v**2 + 1395*v - 1620 = 0.
-36, -9, -1, 1
Suppose 5*w**3 + 2960*w**2 + 476580*w + 11133360 = 0. What is w?
-282, -28
Factor a**3 - 47*a**2 + 306*a + 1368.
(a - 38)*(a - 12)*(a + 3)
Factor 4*l**4 + 7136*l**3 + 21380*l**2 + 14248*l.
4*l*(l + 1)*(l + 2)*(l + 1781)
Factor g**3/2 - 33*g**2/2 + 108*g - 200.
(g - 25)*(g - 4)**2/2
What is n in 2*n**3/5 + 1014*n**2/5 + 32448*n + 7874048/5 = 0?
-208, -91
What is y in 4*y**4 + 1288*y**3 + 103680*y**2 - 1288*y - 103684 = 0?
-161, -1, 1
Let -2*t**3/11 - 116*t**2/11 + 1918*t/11 - 7056/11 = 0. What is t?
-72, 7
Suppose 4*u**4 - 43232*u**3/5 + 23353912*u**2/5 + 9374432*u/5 - 14022732/5 = 0. Calculate u.
-1, 3/5, 1081
What is b in -2*b**5 + 1908*b**4 - 453118*b**3 - 938812*b**2 + 5959704*b - 4569680 = 0?
-5, 1, 2, 478
Factor 2*t**4/17 + 52*t**3/17 + 128*t**2/17 - 3072*t/17.
2*t*(t - 6)*(t + 16)**2/17
Determine h, given that 6*h**3/25 - 188*h**2/5 - 5898*h/25 + 6832/25 = 0.
-7, 1, 488/3
Let -2*s**5/7 - 590*s**4/7 + 1234*s**3/7 + 13686*s**2/7 + 1008*s - 21384/7 = 0. Calculate s.
-297, -3, -2, 1, 6
Determine s so that -3*s**4 + 1638*s**3 - 332343*s**2 + 29690388*s - 985655628 = 0.
114, 159
What is i in 66*i**4/17 + 400*i**3/17 - 438*i**2/17 - 28*i/17 = 0?
-7, -2/33, 0, 1
Determine v so that 4*v**5 - 420*v**4 + 10272*v**3 + 142016*v**2 - 4346880*v - 45158400 = 0.
-12, 40, 49
Factor -36*a**5 - 6852*a**4 - 340549*a**3 - 1380678*a**2 - 1461681*a.
-a*(a + 93)**2*(6*a + 13)**2
Let -2*r**5 - 22*r**4 + 112*r**3 - 120*r**2 = 0. What is r?
-15, 0, 2
Factor -b**3/3 - 79*b**2/3 + 170*b/3 + 216.
-(b - 4)*(b + 2)*(b + 81)/3
Factor -v**2/6 + 2753*v/6 + 4143.
-(v - 2762)*(v + 9)/6
Solve -18*h**5 + 1408*h**4 - 36312*h**3 + 298628*h**2 + 263466*h - 72900 = 0.
-1, 2/9, 25, 27
Suppose -3*p**2/8 + 66*p + 1611/8 = 0. What is p?
-3, 179
Find s, given that -1052*s**4 + 1044*s**3 + 10528*s**2 + 8496*s + 64 = 0.
-2, -1, -2/263, 4
Factor 5*p**3 + 13265*p**2 + 79375*p - 92645.
5*(p - 1)*(p + 7)*(p + 2647)
Factor 4*c**2 - 2664*c + 10592.
4*(c - 662)*(c - 4)
Factor 5*g**4 + 2305*g**3 + 9160*g**2 + 9140*g.
5*g*(g + 2)**2*(g + 457)
Let -30*c**5 + 295*c**4 + 2070*c**3 + 3695*c**2 + 1950*c = 0. What is c?
-13/6, -2, -1, 0, 15
Factor 2*v**2/11 - 68*v/11 - 67872/11.
2*(v - 202)*(v + 168)/11
Factor -2*r**5 + 532*r**4 + 152142*r**3 - 24940160*r**2 - 4395468800*r.
-2*r*(r - 293)**2*(r + 160)**2
Factor -o**5/4 - 485*o**4 - 2907*o**3/2 - 1453*o**2 - 1937*o/4.
-o*(o + 1)**3*(o + 1937)/4
Let -x**2 - 79413*x - 79412 = 0. What is x?
-79412, -1
Suppose -3*m**5/4 + 27*m**4/4 + 243*m**3/4 + 393*m**2/4 + 45*m = 0. Calculate m.
-4, -1, 0, 15
Let -5*z**4 + 89*z**3 + 1158*z**2 - 2372*z - 520 = 0. What is z?
-10, -1/5, 2, 26
Solve -2*t**2/7 + 1860076*t/7 - 432485340722/7 = 0 for t.
465019
Find q, given that 5*q**4 - 672*q**3 + 4148*q**2 - 6672*q + 2048 = 0.
2/5, 2, 4, 128
Determine a so that -9*a**4 - 119*a**3 - 134*a**2 + 1596*a + 360 = 0.
-10, -6, -2/9, 3
Let -3*q**3 - 111639*q**2 - 223266*q = 0. What is q?
-37211, -2, 0
Solve -2*q**3/15 + 95566*q**2/15 + 2*q/15 - 95566/15 = 0.
-1, 1, 47783
Factor 5*g**3 - 1260*g**2 + 28605*g - 52210.
5*(g - 227)*(g - 23)*(g - 2)
Determine u, given that -2*u**3/5 + 4328*u**2/5 = 0.
0, 2164
Determine o, given that 2*o**4/13 - 3050*o**3/13 + 1167366*o**2/13 - 266350*o - 4632968/13 = 0.
-1, 4, 761
Find h, given that 2*h**2 + 309988*h + 929946 = 0.
-154991, -3
Solve 15*o**2 - 1403710*o - 467905 = 0.
-1/3, 93581
Factor -2*m**2/5 + 1682888*m/5 - 354014002568/5.
-2*(m - 420722)**2/5
Let -6272*p**5 - 28000*p**4 + 110542*p**3 - 21068*p**2 - 101566*p + 51772 = 0. Calculate p.
-7, -1, 43/56, 2
Factor -4*b**2 + 1670304*b - 174369715776.
-4*(b - 208788)**2
Factor v**3/5 - 172*v**2 - 2587*v/5 - 1726/5.
(v - 863)*(v + 1)*(v + 2)/5
Factor 3*i**2/4 - 370179*i/2 + 45677497347/4.
3*(i - 123393)**2/4
Find o such that -13*o**2 + 14042*o - 2160 = 0.
2/13, 1080
What is j in -4*j**3 + 7912*j**2 - 3896612*j - 15713296 = 0?
-4, 991
Find y, given that 5*y**5 - 755*y**4 + 28850*y**3 - 24390*y**2 - 138375*y - 84375 = 0.
-1, 3, 75
Find n, given that 2*n**4 + 6622*n**3 + 6618*n**2 - 6622*n - 6620 = 0.
-3310, -1, 1
Let -24*v**3/5 + 40604*v**2/5 - 3442192*v + 6283420 = 0. What is v?
11/6, 845
Find c, given that -5*c**3/4 - 1335*c**2/4 - 101475*c/4 - 1588545/4 = 0.
-123, -21
Determine g, given that -6*g**5 + 405*g**4 - 2781*g**3 + 4860*g**2 = 0.
0, 3, 9/2, 60
Determine z, given that 2*z**4/15 + 74*z**3/15 + 106*z**2/5 - 74*z/15 - 64/3 = 0.
-32, -5, -1, 1
Solve -3*c**4/2 - 1085*c**3/2 - 2875*c**2/2 - 1075*c/2 + 359 = 0 for c.
-359, -2, -1, 1/3
Find c such that -4*c**5/5 + 279*c**4/5 + 1298*c**3/5 - 2973*c**2/5 + 956*c/5 + 444/5 = 0.
-6, -1/4, 1, 74
Determine j, given that -3*j**4 + 114*j**3 - 816*j**2 - 4866*j - 3933 = 0.
-3, -1, 19, 23
Suppose -t**4 - 3639*t**3 - 3301468*t**2 + 16583844*t - 13278736 = 0. Calculate t.
-1822, 1, 4
Solve -3*o**2 - 24477*o - 244470 = 0 for o.
-8149, -10
Let -5*y**4 - 26890*y**3 - 53765*y**2 - 26880*y = 0. What is y?
-5376, -1, 0
Solve 2*o**4/3 - 19232*o**3/9 - 12830*o**2/9 + 19232*o/9 + 12824/9 = 0 for o.
-1, -2/3, 1, 3206
Solve 2*w**5/3 + 71*w**4 + 1123*w**3/3 + 404*w**2 = 0.
-101, -4,