tor 15*n**3 - 12410*n**2 + 4125*n + 8270.
5*(n - 827)*(n - 1)*(3*n + 2)
Factor -k**3/2 + 46*k**2 + 481*k/2 + 194.
-(k - 97)*(k + 1)*(k + 4)/2
Factor 3*i**4/4 - 2805*i**3/2 + 8397*i**2 - 16782*i + 11184.
3*(i - 1864)*(i - 2)**3/4
Factor 2*d**3 + 668*d**2 + 10176*d.
2*d*(d + 16)*(d + 318)
Find s such that s**3/2 - 80*s**2 + 3626*s - 32856 = 0.
12, 74
Solve -z**4/2 + 109*z**3/2 + 170*z**2 - 224*z = 0 for z.
-4, 0, 1, 112
Determine x so that x**4/3 - 173*x**3/3 - 3203*x**2 - 157063*x/3 - 826540/3 = 0.
-17, -13, 220
Let w**4/5 - 26*w**3/5 + 131*w**2/5 - 226*w/5 + 24 = 0. Calculate w.
1, 2, 3, 20
Solve -5*y**4 - 28410*y**3 - 368740*y**2 - 1445910*y - 1785735 = 0 for y.
-5669, -7, -3
Determine k so that 381*k**5/5 - 22473*k**4/5 - 156183*k**3/5 + 458937*k**2/5 + 601626*k/5 + 1872 = 0.
-8, -1, -2/127, 3, 65
Determine s, given that -3*s**2 + 5838*s - 23304 = 0.
4, 1942
Solve -2*w**3/5 - 5204*w**2/5 - 3305792*w/5 + 20782272 = 0 for w.
-1316, 30
Find q, given that -6*q**3/5 - 234*q**2/5 + 9126*q/5 - 13182 = 0.
-65, 13
Suppose p**4 + 8375*p**3 + 17539343*p**2 + 17530969*p = 0. What is p?
-4187, -1, 0
Determine o so that -2*o**4/9 - 412*o**3/9 + 27280*o**2/3 = 0.
-330, 0, 124
Suppose -8*p**3 + 1894*p**2 - 26722*p + 24836 = 0. What is p?
1, 14, 887/4
Factor p**2/2 + 129*p + 1265/2.
(p + 5)*(p + 253)/2
Suppose 2*j**2 + 55342*j = 0. What is j?
-27671, 0
Factor -5*o**3 - 2820*o**2 + 37505*o.
-5*o*(o - 13)*(o + 577)
Let -2*d**3 + 3496*d**2 + 3502*d - 6996 = 0. What is d?
-2, 1, 1749
Determine f so that -3*f**2/5 + 27918*f/5 - 83727/5 = 0.
3, 9303
Let -2*q**3/3 + 302*q**2/3 - 10480*q/3 - 22184/3 = 0. Calculate q.
-2, 59, 94
Solve -c**5 + 23*c**4 - 65*c**3 - 203*c**2 - 114*c = 0.
-1, 0, 6, 19
Factor h**2/4 + 169*h/2 + 2961/4.
(h + 9)*(h + 329)/4
Factor 3*x**3 - 105*x**2 - 114*x + 216.
3*(x - 36)*(x - 1)*(x + 2)
Factor -u**5 - 5*u**4 + 7*u**3 + 5*u**2 - 6*u.
-u*(u - 1)**2*(u + 1)*(u + 6)
Factor 4*s**4 - 488*s**3 + 9500*s**2 - 9016*s.
4*s*(s - 98)*(s - 23)*(s - 1)
Determine y so that 2*y**2/9 - 382*y/9 - 788/3 = 0.
-6, 197
Factor -3*t**2 - 1770*t - 256512.
-3*(t + 256)*(t + 334)
Solve -4*c**4 + 56*c**3 + 276*c**2 - 3944*c - 4160 = 0.
-8, -1, 10, 13
Factor 2*x**2/5 + 3888*x/5 + 11646/5.
2*(x + 3)*(x + 1941)/5
Solve 2*d**2 + 411172*d + 21132801698 = 0.
-102793
Solve -3*c**4/8 - 339*c**3/8 - 4155*c**2/4 + 9000*c - 13500 = 0.
-60, 2, 5
Factor j**4/7 + 20*j**3/7 - 148*j**2/7 + 208*j/7.
j*(j - 4)*(j - 2)*(j + 26)/7
Factor -2*t**3/5 - 84*t**2/5 - 442*t/5 - 72.
-2*(t + 1)*(t + 5)*(t + 36)/5
Find f, given that -3*f**4 - 123*f**3 - 1671*f**2 - 8085*f - 6534 = 0.
-18, -11, -1
Solve l**5/5 - 362*l**4/5 + 2147*l**3/5 - 3922*l**2/5 + 2136*l/5 = 0 for l.
0, 1, 2, 3, 356
Suppose 15*c**5 - 4083*c**4 + 286296*c**3 - 1150536*c**2 + 1296048*c - 215472 = 0. Calculate c.
1/5, 2, 134
Suppose -n**2/3 + 7085*n/9 - 1574/3 = 0. What is n?
2/3, 2361
Determine o, given that 100*o**4/3 - 5702*o**3/3 + 3738*o**2 - 5722*o/3 + 110/3 = 0.
1/50, 1, 55
Solve 471*d**4 - 26379*d**3 + 100020*d**2 - 98604*d + 624 = 0 for d.
1/157, 2, 52
Factor -3*s**2 + 3792*s.
-3*s*(s - 1264)
Determine l, given that l**5/2 - 26*l**3 + 64*l**2 + 96*l - 256 = 0.
-8, -2, 2, 4
Suppose -12*l**4 - 153699*l**3 - 492019284*l**2 + 861581385*l + 246144150 = 0. Calculate l.
-6405, -1/4, 2
Factor 2*d**4/5 - 408*d**3/5 + 5160*d**2 - 473344*d/5.
2*d*(d - 86)**2*(d - 32)/5
Suppose 4*n**4 + 5920*n**3 - 782764*n**2 - 1583272*n - 794592 = 0. Calculate n.
-1602, -1, 124
Let 2*r**3/5 + 8*r**2 - 15486*r/5 + 15444/5 = 0. What is r?
-99, 1, 78
Factor -5*n**2 + 290045*n - 290040.
-5*(n - 58008)*(n - 1)
Factor -2*i**2/7 - 536824*i/7 - 536822/7.
-2*(i + 1)*(i + 268411)/7
Find u, given that 26*u**4/3 + 47*u**3/3 - 9*u**2 - 38*u/3 - 8/3 = 0.
-2, -1/2, -4/13, 1
Factor -4*k**3 - 582*k**2 + 1474*k - 888.
-2*(k - 1)*(k + 148)*(2*k - 3)
Let 36*w**3 + 789*w**2 - 38844*w + 38019 = 0. Calculate w.
-551/12, 1, 23
Determine w so that 64*w**3 + 372128*w**2 - 186076*w + 23260 = 0.
-5815, 1/4
Let 2*y**2/13 - 68526*y/13 + 1095904/13 = 0. Calculate y.
16, 34247
Factor 59*f**3/7 - 20*f**2/7 - 39*f/7.
f*(f - 1)*(59*f + 39)/7
Solve 2*l**4/13 - 22*l**3/13 + 36*l**2/13 + 112*l/13 - 128/13 = 0 for l.
-2, 1, 4, 8
Factor 187854436*j**2 + 164472*j + 36.
4*(6853*j + 3)**2
Solve -25*n**2 + 140580*n + 112480 = 0.
-4/5, 5624
Determine i, given that -2*i**3/9 - 1280*i**2/9 - 192794*i/9 + 432964 = 0.
-329, 18
Let 4*s**4/9 - 20*s**3 + 2188*s**2/9 - 428*s + 1840/9 = 0. Calculate s.
1, 20, 23
Factor 3*a**2 - 5226*a + 20856.
3*(a - 1738)*(a - 4)
Let -4*l**2 + 3296*l - 626076 = 0. Calculate l.
297, 527
Solve -s**3/5 - 299*s**2/5 - 14804*s/5 + 15104/5 = 0.
-236, -64, 1
What is n in -3*n**3 + 16314*n**2 - 22146219*n - 88846092 = 0?
-4, 2721
Factor l**2/3 - 1124774*l/3 + 316279137769/3.
(l - 562387)**2/3
Factor -6*q**2 - 10648*q + 14208.
-2*(q + 1776)*(3*q - 4)
What is c in 5*c**2 - 155*c + 990 = 0?
9, 22
Find x, given that -5*x**3 - 5950*x**2 - 23740*x - 23720 = 0.
-1186, -2
Suppose 2*m**4 + 8*m**3 - 384*m**2 - 3584*m - 8192 = 0. Calculate m.
-8, -4, 16
Solve 2*j**4/11 + 11570*j**3/11 - 6*j**2/11 - 34714*j/11 - 23140/11 = 0.
-5785, -1, 2
Find z such that -65*z**2/2 - 124185*z/2 + 28665 = 0.
-1911, 6/13
Factor k**2/2 + 549*k/2 + 19530.
(k + 84)*(k + 465)/2
Suppose -3*b**4 - 33*b**3 + 975*b**2 - 1839*b + 900 = 0. What is b?
-25, 1, 12
Let 10*w**5/7 - 332*w**4 + 14542*w**3/7 - 2508*w**2 - 16272*w/7 = 0. What is w?
-3/5, 0, 3, 4, 226
Solve -4*o**3 + 48876*o**2 + 97764*o + 48884 = 0.
-1, 12221
Determine j so that -j**5 + 12*j**4 - 43*j**3 + 36*j**2 + 44*j - 48 = 0.
-1, 1, 2, 4, 6
Solve -3*r**3 - 570*r**2 - 6504*r - 17088 = 0 for r.
-178, -8, -4
Factor c**4/2 + 47*c**3 + 3169*c**2/2 + 22560*c + 115200.
(c + 15)**2*(c + 32)**2/2
Let 7*w**3/5 + 3973*w**2/5 - 9702*w/5 - 1368 = 0. Calculate w.
-570, -4/7, 3
Solve 54*v**4/7 + 2056*v**3/7 - 64*v**2/7 - 8224*v/7 - 608/7 = 0 for v.
-38, -2, -2/27, 2
Factor f**3/4 + 8135*f**2/4 - 261313*f/4 + 253177/4.
(f - 31)*(f - 1)*(f + 8167)/4
Solve -880*f**3/9 + 1054*f**2/9 - 182*f/9 + 8/9 = 0.
4/55, 1/8, 1
Find i such that -4*i**3 + 32*i**2 - 44*i - 80 = 0.
-1, 4, 5
Find m such that -8*m**3 + 2126*m**2 + 141772*m + 35310 = 0.
-55, -1/4, 321
Suppose -d**3/9 - 29054*d**2/9 + 116228*d/9 - 38744/3 = 0. Calculate d.
-29058, 2
Factor 3*i**3/4 + 96*i**2 + 2580*i + 8832.
3*(i + 4)*(i + 32)*(i + 92)/4
Find f such that -f**2/10 - 8755*f - 350168/5 = 0.
-87542, -8
Factor -2*m**2/3 - 37*m/9 - 35/9.
-(m + 5)*(6*m + 7)/9
Factor -343*i**4/2 - 5243*i**3/2 - 12369*i**2 - 12274*i + 27436.
-(i - 1)*(7*i + 38)**3/2
Solve 4*w**4 - 4640*w**3 - 79784*w**2 - 296928*w + 381348 = 0.
-9, 1, 1177
Determine q so that -q**4/3 + 5419*q**3/3 - 27074*q**2/3 + 21656*q/3 = 0.
0, 1, 4, 5414
Find s, given that 7*s**4 + 86*s**3 - 3593*s**2 - 49644*s + 37260 = 0.
-18, 5/7, 23
Let -h**2 - 39064*h + 39065 = 0. Calculate h.
-39065, 1
Factor 62500*m**3 - 125008*m**2 + 62516*m - 8.
4*(m - 1)**2*(15625*m - 2)
Factor -2*f**2/21 - 46024*f/21 - 264776072/21.
-2*(f + 11506)**2/21
Factor -3*n**4 + 62526*n**3 - 322902831*n**2 - 30105143532*n - 695474748972.
-3*(n - 10467)**2*(n + 46)**2
What is y in -3*y**5 - 5103*y**4 - 2177613*y**3 - 6364713*y**2 + 52305192*y + 172992240 = 0?
-849, -4, 5
Factor c**2 + 554*c - 19992.
(c - 34)*(c + 588)
Factor 2*i**3 + 430*i**2 - 432*i.
2*i*(i - 1)*(i + 216)
Let -2*s**2/9 - 77404*s/9 = 0. Calculate s.
-38702, 0
Suppose 3*p**2/7 - 38517*p/7 = 0. Calculate p.
0, 12839
Factor 4*y**2 - 1536*y + 13500.
4*(y - 375)*(y - 9)
Factor 4*h**4 + 344*h**3 - 48*h**2 - 4064*h + 5504.
4*(h - 2)**2*(h + 4)*(h + 86)
Factor 2*d**3/13 - 574*d**2/13 + 2544*d + 93600.
2*(d - 156)**2*(d + 25)/13
Let -2053*j**3/5 - 4156*j**2/5 - 2153*j/5 - 10 = 0. What is j?
-1, -50/2053
Solve -3*g**2 + 1666254*g = 0 for g.
0, 555418
Determine r so that 2*r**5/9 + 104*r**4/9 + 410*r**3/3 + 312*r**2 = 0.
-36, -13, -3, 0
Factor 5*u**3 - 372440*u**2 + 744865*u - 372430.
5*(u - 74486)*(u - 1)**2
Factor -j**4/3 + 56*j**3 - 6533*j**2/3 - 14674*j - 20184.
-(j - 87)**2*(j + 2)*(j + 4)/3
Find d such that -5*d**5/8 + 41*d**4/4 - 17*d**3/8 - 689*d**2/2 - 935*d/2 + 242 = 0.
-4, -2, 2/5, 11
Let 243*s**5/7 - 13062573*s**4/7 + 8293179*s**3 - 9007185*s**2 + 19995408*s/7 - 1935036/7 = 0. Calculate s.
2/9, 1, 3, 53751
Factor -4*