e -j**2/3 + 5353*j/3 + 35820 = 0. Calculate j.
-20, 5373
Factor -32*x**3/7 - 1105*x**2/7 + 4932*x/7.
-x*(x - 4)*(32*x + 1233)/7
Factor -5*b**3 - 4845*b**2 - 597195*b + 307959325.
-5*(b - 185)*(b + 577)**2
Determine x, given that -2*x**4/9 + 430*x**3/9 - 19772*x**2/9 + 80440*x/3 + 62800 = 0.
-2, 30, 157
Solve -6*w**3/7 - 154*w**2 + 39796*w/7 + 27008/7 = 0 for w.
-211, -2/3, 32
Solve 25*c**4/4 - 4899*c**3/2 + 239904*c**2 + 19208*c = 0 for c.
-2/25, 0, 196
Find v such that 5*v**3 + 670*v**2 - 45345*v - 93330 = 0.
-183, -2, 51
Find r such that -42*r**5 + 236*r**4 + 1322*r**3 - 396*r**2 = 0.
-11/3, 0, 2/7, 9
Determine p, given that p**2/6 - 227*p/3 - 113449/2 = 0.
-399, 853
Factor -h**3/9 - 4954*h**2/3 - 118847*h/9 - 74270/3.
-(h + 3)*(h + 5)*(h + 14854)/9
Let -2*w**5/15 - 116*w**4/15 - 50*w**3 - 1876*w**2/15 - 2056*w/15 - 272/5 = 0. Calculate w.
-51, -2, -1
Factor -3*w**2/2 - 33*w/2 + 63.
-3*(w - 3)*(w + 14)/2
Find w such that -3*w**3 + 354*w**2 - 345*w - 702 = 0.
-1, 2, 117
Factor 2*v**4/17 + 1124*v**3/17 + 150962*v**2/17 - 1976856*v/17.
2*v*(v - 12)*(v + 287)**2/17
Suppose i**2/8 + 145*i/2 - 50589/8 = 0. Calculate i.
-657, 77
Factor 2*l**2/11 + 625332*l/11 + 48880013778/11.
2*(l + 156333)**2/11
Let -2*k**3/13 + 92*k**2 - 2386*k/13 + 1192/13 = 0. Calculate k.
1, 596
Factor 3*u**2 + 195384*u + 3181242288.
3*(u + 32564)**2
Solve 2*k**3/9 + 404*k**2/9 - 4096*k + 78912 = 0.
-274, 36
Determine c, given that -810*c**5/7 + 6768*c**4/7 + 5312*c**3 - 274464*c**2/7 - 56480*c + 67200 = 0.
-6, -2, 4/5, 70/9
Solve 4*l**2 - 5680*l - 473684 = 0 for l.
-79, 1499
Let 5*n**5 - 1305*n**4 + 8980*n**3 + 19980800*n**2 - 1320222720*n + 1300234240 = 0. Calculate n.
-124, 1, 128
Factor 3*y**3 - 249*y**2 + 3453*y + 3705.
3*(y - 65)*(y - 19)*(y + 1)
Factor -3*c**3 - 80769*c**2 + 3*c + 80769.
-3*(c - 1)*(c + 1)*(c + 26923)
Find j such that 27*j**4 + 205152*j**3 + 1169161246*j**2/3 + 259790816*j/3 + 14432401/3 = 0.
-3799, -1/9
Factor 3*h**4 + 2700*h**3 + 13407*h**2 - 16110*h.
3*h*(h - 1)*(h + 6)*(h + 895)
Suppose -a**4/2 - 86181*a**3 - 7427337121*a**2/2 - 7427078580*a - 3713496200 = 0. What is a?
-86180, -1
Factor -4*i**4 - 90792*i**3 - 515380756*i**2 - 2060433648*i - 2060070544.
-4*(i + 2)**2*(i + 11347)**2
Factor 2*k**2/15 - 2542*k/3 - 12712/15.
2*(k - 6356)*(k + 1)/15
Solve 4*v**2 - 13560*v - 13564 = 0 for v.
-1, 3391
Determine n, given that 2*n**4 + 52*n**3 - 1586*n**2 - 52*n + 1584 = 0.
-44, -1, 1, 18
Factor -l**3/6 - 35*l**2/6 - 50*l.
-l*(l + 15)*(l + 20)/6
Determine l so that -4*l**4/9 + 140*l**3/9 + 200*l**2 - 6000*l - 60000 = 0.
-15, -10, 30
Let 3*b**3 - 15810*b**2 + 20813856*b + 41690976 = 0. What is b?
-2, 2636
Factor 3*d**5 - 1431*d**4 + 2853*d**3 - 1425*d**2.
3*d**2*(d - 475)*(d - 1)**2
Factor n**4 + 172*n**3 - 4405*n**2 + 15524*n - 14820.
(n - 19)*(n - 2)**2*(n + 195)
Suppose -4*y**2/3 + 13648*y/3 + 385280/3 = 0. Calculate y.
-28, 3440
Determine x so that 3*x**3/5 - 11577*x**2/5 + 46272*x/5 - 9252 = 0.
2, 3855
Factor 4*r**2 + 25256*r + 39866596.
4*(r + 3157)**2
Find d such that -d**4/4 + 9*d**3 - 29*d**2 - 96*d = 0.
-2, 0, 6, 32
Factor 2*h**5/7 - 358*h**4/7 + 18544*h**3/7 - 297464*h**2/7.
2*h**2*(h - 103)*(h - 38)**2/7
Factor 5*i**4 - 27110*i**3 + 36557345*i**2 + 515794860*i + 1809943380.
5*(i - 2718)**2*(i + 7)**2
Determine h, given that -h**3/4 + 194*h**2 + 4389*h = 0.
-22, 0, 798
Factor 3*t**2/7 - 1011*t/7 - 4380.
3*(t - 365)*(t + 28)/7
Factor 4*m**2 + 221696*m - 221700.
4*(m - 1)*(m + 55425)
Suppose -1626*b**2/11 - 147970*b/11 - 364/11 = 0. What is b?
-91, -2/813
Let 2*z**5/3 + 8*z**4/3 - 88*z**3/3 - 640*z**2/3 - 1408*z/3 - 1024/3 = 0. Calculate z.
-4, -2, 8
Factor -2*k**3/5 + 89118*k**2/5 - 198541536*k - 198559360.
-2*(k - 22280)**2*(k + 1)/5
Let -c**4/5 - 852*c**3/5 + 160236*c**2/5 + 145569312*c/5 - 29191772736/5 = 0. What is c?
-678, 252
Determine t so that -t**4/3 + 317*t**3 + 4793*t**2/3 - 4145*t + 6692/3 = 0.
-7, 1, 956
Find j, given that j**2/2 - 2675*j/2 + 55293 = 0.
42, 2633
Let 3*z**4/2 - 57*z**3/2 + 6*z**2 + 414*z - 648 = 0. What is z?
-4, 2, 3, 18
Factor -34694450*u**3/9 - 11553710*u**2/3 + 11104*u/3 - 8/9.
-2*(u + 1)*(4165*u - 2)**2/9
Solve -70*c**3 - 21216*c**2 + 262954*c + 76860 = 0.
-315, -2/7, 61/5
Factor -2*i**3/5 + 812*i**2/5 - 17138*i/5 + 92928/5.
-2*(i - 384)*(i - 11)**2/5
Factor f**2/10 + 1943*f/2 + 9713/5.
(f + 2)*(f + 9713)/10
Let n**3/3 - 7*n**2/3 - 28*n/3 - 20/3 = 0. What is n?
-2, -1, 10
What is h in -2*h**5 - 378*h**4 + 2324*h**3 - 3132*h**2 - 2322*h + 3510 = 0?
-195, -1, 1, 3
Let k**4/5 - 569*k**3/5 - 1149*k**2/5 + 4001*k/5 - 2284/5 = 0. Calculate k.
-4, 1, 571
Factor 3*m**3 - 3735*m**2 - 41418*m - 37680.
3*(m - 1256)*(m + 1)*(m + 10)
Determine w so that -2*w**2/3 + 348976*w/3 + 116326 = 0.
-1, 174489
Let 9*q**5/5 - 12121*q**4/5 - 75648*q**3/5 - 162264*q**2/5 - 129872*q/5 - 21648/5 = 0. Calculate q.
-2, -2/9, 1353
Determine b so that -484*b**4/3 - 1488564*b**3 + 541312*b**2 - 147632*b/3 = 0.
-9227, 0, 2/11
Find z such that -z**3/4 - 95*z**2/4 - 269*z/2 + 1716 = 0.
-88, -13, 6
Factor t**5/5 - 1889*t**4/5 + 22578*t**3/5 - 101466*t**2/5 + 202797*t/5 - 152037/5.
(t - 1877)*(t - 3)**4/5
Factor 3*m**4 - 6087*m**3 - 18279*m**2 - 18285*m - 6096.
3*(m - 2032)*(m + 1)**3
Factor 8*n**2 - 221708*n + 110852.
4*(n - 27713)*(2*n - 1)
Suppose 3*v**4 + 36*v**3 - 1701*v**2 + 11826*v - 21384 = 0. What is v?
-33, 3, 6, 12
Factor j**5/4 - 125*j**4/2 + 16593*j**3/4 - 30250*j**2 + 58564*j.
j*(j - 121)**2*(j - 4)**2/4
Determine k, given that k**3 - 9624*k**2 - 19251*k - 9626 = 0.
-1, 9626
Let -3*z**4 - 80181*z**3/4 + 260715*z**2/4 - 27*z/4 - 180495/4 = 0. What is z?
-6685, -3/4, 1, 3
Factor 502445*y**3 - 1014400*y**2 + 19065*y - 90.
5*(y - 2)*(317*y - 3)**2
Factor -3*d**2 + 555*d - 13572.
-3*(d - 156)*(d - 29)
What is o in -o**3 - 61*o**2 - 1168*o - 7140 = 0?
-30, -17, -14
Factor 3*t**2/4 - 2223*t/2 - 17976.
3*(t - 1498)*(t + 16)/4
Factor 2*l**2/5 + 93848*l/5 - 18770.
2*(l - 1)*(l + 46925)/5
Determine b so that b**4 - 41*b**3 + 552*b**2 - 3060*b + 6048 = 0.
6, 8, 21
Solve -3*x**4/2 - 34581*x**3 - 398684343*x**2/2 - 398580606*x - 199273014 = 0 for x.
-11526, -1
Let -180*p**5 + 52140*p**4 - 3714365*p**3 - 8916230*p**2 - 2661580*p - 213160 = 0. What is p?
-2, -1/6, 146
What is p in 3*p**4 + 116424*p**3 + 1129196322*p**2 - 6778321704*p + 10169054523 = 0?
-19407, 3
Solve -8*h**5/5 + 2916*h**4/5 - 26988*h**3 - 13640*h**2 = 0.
-1/2, 0, 55, 310
Let -5*j**5 + 45*j**4 + 2655*j**3 + 15455*j**2 - 18150*j = 0. Calculate j.
-11, 0, 1, 30
Let 3*x**3 - 43290*x**2 - 303159*x - 259866 = 0. What is x?
-6, -1, 14437
Solve 64*k**4 - 160*k**3 - 6492*k**2 - 26860*k - 30056 = 0.
-17/4, -2, 13
Factor -4*y**4 + 23648*y**3 - 34928088*y**2 - 69927136*y - 34975396.
-4*(y - 2957)**2*(y + 1)**2
Suppose i**5 - 3*i**4 - 66*i**3 - 52*i**2 + 120*i = 0. Calculate i.
-6, -2, 0, 1, 10
Factor 2*p**4/9 + 16*p**3 - 2*p**2/9 - 16*p.
2*p*(p - 1)*(p + 1)*(p + 72)/9
Find l such that l**5 + 11*l**4 - 51*l**3 - 103*l**2 + 310*l - 168 = 0.
-14, -3, 1, 4
Solve 2*k**2 + 89224*k - 446170 = 0 for k.
-44617, 5
Determine s, given that -s**2/3 - 118684*s/3 - 3521472964/3 = 0.
-59342
Find k, given that -k**2/4 + 195*k/4 = 0.
0, 195
Find m such that -m**5 + 770*m**4 - 7623*m**3 + 17470*m**2 + 7624*m - 18240 = 0.
-1, 1, 4, 6, 760
Factor 4*m**3 + 2008*m**2 - 6076*m - 8080.
4*(m - 4)*(m + 1)*(m + 505)
Factor -14*z**2/3 - 224416*z/3 + 64120/3.
-2*(z + 16030)*(7*z - 2)/3
Factor 4*c**3 + 15740*c**2 - 31528*c - 125984.
4*(c - 4)*(c + 2)*(c + 3937)
Let -z**4/7 + 15*z**3 - 2619*z**2/7 + 4927*z/7 - 2412/7 = 0. What is z?
1, 36, 67
Solve u**4/7 + 278*u**3/7 + 18633*u**2/7 + 55764*u + 144396 = 0 for u.
-191, -42, -3
Let -4*z**2 - 4236*z + 12744 = 0. What is z?
-1062, 3
Factor -5*r**3 - 1660*r**2 - 130560*r.
-5*r*(r + 128)*(r + 204)
Factor -x**4/7 - 270746*x**3 - 128280943903*x**2.
-x**2*(x + 947611)**2/7
Suppose k**3/2 - 257*k**2/4 + 1876*k + 49379/4 = 0. What is k?
-11/2, 67
Factor -g**4/4 - 13*g**3/2 + 14*g**2.
-g**2*(g - 2)*(g + 28)/4
Factor -3*c**2/8 - 86151*c/4 - 2473998267/8.
-3*(c + 28717)**2/8
Determine b, given that -15*b**4 - 455*b**3 - 2660*b**2 + 1980*b = 0.
-22, -9, 0, 2/3
Let -16*q**5 - 892*q**4 - 4676*q**3 - 3800*q**2 = 0. Calculate q.
-50, -19/4, -1, 0
Factor 2*o**3/9 + 5966*o**2/9 + 4422176*o/9 - 4