mine y, given that -254*y**5 + 45770*y**4 - 2066146*y**3 + 359230*y**2 + 2066400*y - 405000 = 0.
-1, 25/127, 1, 90
Determine d, given that -3*d**5 - 186*d**4 + 14649*d**3 - 27936*d**2 - 42768*d = 0.
-108, -1, 0, 3, 44
Let -2*n**2/23 + 655544*n/23 + 1966650/23 = 0. Calculate n.
-3, 327775
Determine r, given that -21*r**4 - 21705*r**3 - 184209*r**2 + 298185*r - 92250 = 0.
-1025, -10, 3/7, 1
Factor -a**2/12 - 1085*a/4 + 22883/6.
-(a - 14)*(a + 3269)/12
Solve -3*v**2 - 1867086*v + 20538309 = 0 for v.
-622373, 11
Determine z so that 4*z**4/5 - 6736*z**3/5 + 1378932*z**2/5 + 1354796408*z/5 + 2704023136/5 = 0.
-332, -2, 1009
Factor 3*c**3 - 337710852*c**2 + 9504051629880492*c.
3*c*(c - 56285142)**2
Factor q**3/3 + 1291*q**2/3 + 73185*q - 46622925.
(q - 239)*(q + 765)**2/3
Factor 4*k**3/5 - 832*k**2/5 + 23924*k/5 + 51208/5.
4*(k - 173)*(k - 37)*(k + 2)/5
Suppose 4*t**5 + 2096*t**4 + 119988*t**3 + 1753544*t**2 - 2620928*t - 11329536 = 0. What is t?
-461, -32, -2, 3
Factor -r**2/7 - 16048*r/7 - 1666065.
-(r + 763)*(r + 15285)/7
Suppose -o**3/3 - 6204917*o**2 - 18614750*o/3 = 0. What is o?
-18614750, -1, 0
Find u such that -675*u**4 - 777440*u**3 - 223764480*u**2 + 53084160*u = 0.
-576, 0, 32/135
What is w in 14*w**5 + 19122*w**4/5 + 22036*w**3/5 - 73224*w**2/5 - 89264*w/5 - 13056/5 = 0?
-272, -2, -1, -6/35, 2
Suppose -3*b**2/2 + 158520960*b + 317041923/2 = 0. What is b?
-1, 105680641
Factor -7*l**3 - 4348*l**2 - 97812*l - 559728.
-(l + 12)*(l + 598)*(7*l + 78)
Factor -2*y**3 - 3708070*y**2 + 3708072*y.
-2*y*(y - 1)*(y + 1854036)
Factor -c**3 - 15084135*c**2 + 30168274*c.
-c*(c - 2)*(c + 15084137)
Factor -x**2/8 + 771745*x/4 + 1543491/8.
-(x - 1543491)*(x + 1)/8
Determine m, given that m**2/7 + 822730*m/7 - 117533 = 0.
-822731, 1
Find c, given that -c**5/3 - 8520*c**4 + 306877*c**3/3 + 110812*c**2 = 0.
-25572, -1, 0, 13
Let i**3/4 - 9690173*i**2/2 + 93899491530609*i/4 - 93899414009241 = 0. Calculate i.
4, 9690171
Solve 3*i**2 + 1846817*i - 2462428 = 0.
-615607, 4/3
Factor -2*i**3 - 22976*i**2 - 1462272*i.
-2*i*(i + 64)*(i + 11424)
Factor -3*b**2 + 177339420*b - 2620772490494700.
-3*(b - 29556570)**2
Solve m**4/2 - 184191*m**3/2 + 8474300815*m**2/2 + 670634541375*m/2 - 339554329000 = 0.
-80, 1, 92135
Determine h so that h**3/2 - 22583*h**2 + 272283870*h - 383552624484 = 0.
1618, 21774
Suppose 2*g**5/11 + 1974*g**4/11 - 107856*g**3/11 + 207800*g**2/11 = 0. What is g?
-1039, 0, 2, 50
Factor 2*w**4 - 33176*w**3 + 136781192*w**2 + 6642155904*w.
2*w*(w - 8318)**2*(w + 48)
Factor -3*k**3 + 825*k**2 + 99102*k - 201480.
-3*(k - 365)*(k - 2)*(k + 92)
Find d, given that 2*d**2 - 56330726*d + 56330724 = 0.
1, 28165362
Suppose f**2/8 + 47765*f/8 + 965601/2 = 0. Calculate f.
-47684, -81
Factor -a**2/2 - 2378*a + 134736.
-(a - 56)*(a + 4812)/2
Find n, given that -n**3 + 75*n**2 - 198*n - 14904 = 0.
-12, 18, 69
Suppose -3*v**3 - 1285125*v**2 + 59120511*v - 679904127 = 0. What is v?
-428421, 23
Suppose -3*m**2/7 + 16664826*m - 162001248272661 = 0. Calculate m.
19442297
Determine p, given that 2*p**3/13 + 2102*p**2/13 - 992032*p/13 + 8756568/13 = 0.
-1406, 9, 346
Find k such that k**2/4 - 1809774*k + 3619547 = 0.
2, 7239094
Factor -t**2 - 112042*t + 784343.
-(t - 7)*(t + 112049)
Let -k**3 - 3818*k**2 - 14776*k + 1830720 = 0. What is k?
-3814, -24, 20
Determine m, given that -3*m**3/5 + 372*m**2 + 3480561*m/5 + 20815758/5 = 0.
-807, -6, 1433
Determine k so that 5*k**3/2 - 293*k**2/2 - 1110*k + 118800 = 0.
-132/5, 40, 45
Solve 3025*r**4 - 541530*r**3 + 549024*r**2 - 139552*r = 0 for r.
0, 28/55, 178
Suppose -f**4/2 + 30977*f**3 - 959574529*f**2/2 = 0. What is f?
0, 30977
Let 2*y**4/5 + 1411612*y**3/5 + 66439579416*y**2 + 5217426867548180*y + 994106716058745550 = 0. Calculate y.
-235205, -191
Determine x so that 4*x**3 + 11684844*x**2 - 116848740*x + 292122100 = 0.
-2921221, 5
Let -2*o**4 + 17842*o**3 - 12509768*o**2 + 12491928*o = 0. Calculate o.
0, 1, 766, 8154
Suppose -2*g**5 + 49316*g**4/3 + 280040*g**3/3 - 1069508*g**2 + 2122122*g - 592200 = 0. Calculate g.
-12, 1/3, 3, 8225
Determine u, given that -5*u**2 - 4090480*u - 836601331520 = 0.
-409048
Determine o, given that 8*o**4/7 - 6191022*o**3/7 + 10834268*o**2/7 - 3095502*o/7 - 1547752/7 = 0.
-1/4, 1, 773876
Find v, given that 3*v**3 - 38490*v**2 - 1583133*v = 0.
-41, 0, 12871
Factor -4*v**2 - 583320720*v.
-4*v*(v + 145830180)
Factor 2*n**3 + 20975768*n**2 + 54997792471370*n - 329987509956300.
2*(n - 6)*(n + 5243945)**2
Determine p so that -3*p**3/5 + 4701927*p**2/5 - 28211433*p/5 - 32913363/5 = 0.
-1, 7, 1567303
Factor -m**2/3 + 56405*m - 338426/3.
-(m - 169213)*(m - 2)/3
Factor 3*q**4 - 29463*q**3 + 470640*q**2.
3*q**2*(q - 9805)*(q - 16)
Solve 42549529*g**4/4 - 10169428753*g**3/4 - 41336316181*g**2/4 + 88753273*g/4 - 11907 = 0.
-4, 7/6523, 243
Factor 4*n**3/3 + 43876*n**2/3 - 15448352*n/3 + 446245056.
4*(n - 172)**2*(n + 11313)/3
Factor -2*p**3/13 - 1363306*p**2/13.
-2*p**2*(p + 681653)/13
Suppose 12*h**5 - 1360*h**4 + 19664*h**3 - 62648*h**2 - 58076*h + 25608 = 0. Calculate h.
-1, 1/3, 6, 11, 97
What is c in -2*c**3 - 81896*c**2/9 - 31074968*c/3 - 18386048 = 0?
-2274, -16/9
Suppose b**3 + 8984*b**2 + 259255*b - 3940200 = 0. Calculate b.
-8955, -40, 11
Factor 1004446249*o**3 + 3022466331*o**2 + 27403488*o + 62208.
(o + 3)*(31693*o + 144)**2
Determine w so that 2*w**2 - 34517392*w + 148931293810208 = 0.
8629348
Factor 4*m**4 + 972988*m**3 + 15566784*m**2.
4*m**2*(m + 16)*(m + 243231)
Let 4*n**5 - 134412*n**4 - 537952*n**3 + 8065808*n**2 - 4300416*n - 43016960 = 0. What is n?
-10, -2, 4, 33607
Factor -4*b**2/3 + 1544*b - 147420.
-4*(b - 1053)*(b - 105)/3
Suppose -o**3 + 17328*o**2 - 3983597*o + 7897890 = 0. What is o?
2, 231, 17095
Solve 2*n**2/17 - 22450824*n/17 + 63004937284872/17 = 0 for n.
5612706
Factor -3*v**2 + 5985*v + 615342.
-3*(v - 2093)*(v + 98)
Factor 4*j**3/7 - 30458632*j**2/7 - 8702468*j - 30458640/7.
4*(j - 7614660)*(j + 1)**2/7
Let 3*t**4/2 + 830403*t**3/2 + 28733915901*t**2 + 258567461136*t - 287301792240 = 0. Calculate t.
-138396, -10, 1
Factor 5*g**2 + 21194485*g + 63583410.
5*(g + 3)*(g + 4238894)
Let q**5/2 + 160*q**4 + 20817*q**3/2 - 102955*q**2 + 281758*q - 237540 = 0. Calculate q.
-222, -107, 2, 5
Factor -y**5/4 - 31138*y**4 + 31575665*y**3/4.
-y**3*(y - 253)*(y + 124805)/4
Let l**4/2 - 635*l**3/2 + 4375*l**2/2 + 13215*l/2 - 8478 = 0. What is l?
-3, 1, 9, 628
Find c such that -3*c**3 + 495*c**2 + 19818*c - 570360 = 0.
-49, 20, 194
Factor -4*s**2/7 + 1420376*s/7 - 2840736/7.
-4*(s - 355092)*(s - 2)/7
Factor 3*r**2 + 36384*r + 13903605.
3*(r + 395)*(r + 11733)
Factor h**2/2 - 210387651*h/4 - 52596913/2.
(h - 105193826)*(2*h + 1)/4
Suppose -5*j**5 + 20920*j**4 + 718000*j**3 - 3966270*j**2 + 5694885*j - 2467530 = 0. What is j?
-39, 1, 3, 4218
Suppose 73947*h**4 + 1772530*h**3 + 17589073*h**2/3 - 175448*h + 3920/3 = 0. What is h?
-20, -4, 7/471
Factor -2*o**2 - 559804564*o - 39172643734403762.
-2*(o + 139951141)**2
Solve -t**4/9 - 424*t**3/9 - 12086*t**2/3 + 1620032*t/9 - 14895349/9 = 0.
-259, -199, 17
Find a, given that 28696118*a**5/7 + 8665668*a**4/7 - 114908240*a**3/7 - 34662240*a**2/7 + 495072*a/7 - 1728/7 = 0.
-2, -6/19, 6/869, 2
Let t**2/2 - 116178*t + 1626394 = 0. What is t?
14, 232342
What is h in -3*h**5 - 36*h**4 + 9960*h**3 + 40320*h**2 - 39792*h - 160704 = 0?
-62, -4, -2, 2, 54
Factor -1655*b**2 - 4430*b + 1605.
-5*(b + 3)*(331*b - 107)
Determine o so that o**5/7 - 49666*o**4/7 + 88111024*o**3 - 352039734*o**2 - 25277933169*o/7 - 22196828196/7 = 0.
-4, -1, 9, 24831
Let 2*m**5 - 1906770*m**4 + 454474339254*m**3 - 1363405856886*m**2 = 0. Calculate m.
0, 3, 476691
What is y in -3*y**4/2 + 9957*y**3 - 119295*y**2/2 - 268596*y = 0?
-3, 0, 9, 6632
Factor k**2 + 320404*k + 25664680804.
(k + 160202)**2
Factor z**3 + 3205426*z**2 + 96162105*z + 721214100.
(z + 15)**2*(z + 3205396)
Factor 2*x**3/3 - 17422*x**2/3 - 4284112*x - 759483552.
2*(x - 9407)*(x + 348)**2/3
Factor 2*b**3/19 - 304550394*b**2/19 + 11593867658419206*b/19 + 11593867962969602/19.
2*(b - 76137599)**2*(b + 1)/19
Factor 2*h**2/15 - 49236832*h/15 + 303033203174528/15.
2*(h - 12309208)**2/15
Factor f**2/3 + 880*f/3 - 93248.
(f - 248)*(f + 1128)/3
What is m in -m**3/5 + 26322*m**2/5 - 210512*m/5 = 0?
0, 8, 26314
Find v such that