-72/41, 2
Determine u, given that -5*u**4 + 3905*u**3 - 632495*u**2 - 636405*u = 0.
-1, 0, 231, 551
Factor y**4/3 - 7459*y**3 + 149080*y**2 - 2235700*y/3.
y*(y - 22357)*(y - 10)**2/3
Solve -3828*j**4 + 906291*j**3 - 5963037*j**2 + 3980664*j - 12420 = 0.
1/319, 3/4, 6, 230
Factor 3*p**3 - 9237*p**2 + 8905677*p - 2556819483.
3*(p - 1279)**2*(p - 521)
Solve -2*m**2/3 - 2768*m/3 - 763040/3 = 0 for m.
-1004, -380
Factor -882*r**4 - 10876992*r**3 - 2071784*r**2 - 98656*r.
-2*r*(r + 12332)*(21*r + 2)**2
Solve -628*v**4 + 216034*v**3 - 18793588*v**2 + 36786546*v - 116964 = 0.
1/314, 2, 171
Determine b so that -4*b**3 - 39452*b**2 + 2102864*b + 6663552 = 0.
-9916, -3, 56
Factor 3*s**2 - 333695202*s + 9279373986485067.
3*(s - 55615867)**2
Determine v, given that 3*v**4 + 3833*v**3 + 6354*v**2 - 33168*v + 10208 = 0.
-1276, -4, 1/3, 2
Factor -24584*d**2 + 73700*d + 156.
-4*(d - 3)*(6146*d + 13)
Solve 35*l**5/2 + 414524*l**4 - 379042*l**3 - 805400*l**2 - 189504*l = 0 for l.
-23688, -4/5, -2/7, 0, 2
Find o such that -o**2/6 - 69939839*o/3 - 4891581079345921/6 = 0.
-69939839
Let -4*s**2/3 - 2452*s + 13077328/3 = 0. What is s?
-2948, 1109
Determine o so that -o**3/5 - 130019*o**2/5 - 3639748*o/5 = 0.
-129991, -28, 0
Find g, given that -3*g**4/4 - 7128*g**3 + 11965545*g**2/2 - 1613349150*g + 574981583625/4 = 0.
-10299, 265
Determine t so that 3884*t**3 - 36520*t**2 + 99472*t - 83936 = 0.
2, 5246/971
Let a**3/6 + 3497*a**2/3 + 12298649*a/6 + 121591690/3 = 0. What is a?
-3487, -20
Factor t**2/3 + 954434*t - 5726608/3.
(t - 2)*(t + 2863304)/3
Find o such that -o**5 + 2457*o**4 - 1947324*o**3 + 441482896*o**2 + 44629275072*o + 129861702144 = 0.
-72, -3, 844
Let -192*i**5/7 - 2386*i**4 - 135762*i**3/7 - 85368*i**2/7 + 34360*i - 2496/7 = 0. Calculate i.
-78, -8, -2, 1/96, 1
Find q such that 3*q**5 - 19812*q**4/5 + 6243984*q**3/5 + 198337086*q**2/5 + 82701405*q + 44286750 = 0.
-27, -6/5, -1, 675
Factor -3*i**2/2 + 855756*i + 135228171/2.
-3*(i - 570583)*(i + 79)/2
Factor f**3 + 2621*f**2 - 1940246*f.
f*(f - 602)*(f + 3223)
Solve -5*y**4 - 145955*y**3 - 1052257195*y**2 + 188641677875*y = 0.
-14683, 0, 175
Factor 5*w**2 + 33773560*w + 57032667753680.
5*(w + 3377356)**2
Find q such that 3*q**3/5 - 880542*q**2/5 + 33796224*q - 8109766656/5 = 0.
96, 293322
Solve -f**2 - 110119*f - 660678 = 0.
-110113, -6
What is q in 4*q**3 + 3424*q**2 + 903348*q + 75757032 = 0?
-442, -207
Let f**4 + 333*f**3 + 71017*f**2/4 - 36009*f/2 + 4522 = 0. What is f?
-266, -68, 1/2
Find b such that -5*b**2 + 77480*b - 464700 = 0.
6, 15490
Determine g, given that 3*g**3/7 - 30510*g**2/7 + 973248*g/7 = 0.
0, 32, 10138
Factor -s**2/3 - 5474378*s/3 - 7492203621721/3.
-(s + 2737189)**2/3
Factor -b**2 + 165244024*b + 165244025.
-(b - 165244025)*(b + 1)
Factor 5*l**2 - 462730*l + 2313525.
5*(l - 92541)*(l - 5)
Factor -2*r**2/5 + 6997144*r/5 + 13994296/5.
-2*(r - 3498574)*(r + 2)/5
Solve -2*b**4/7 + 1052700*b**3/7 - 138521108546*b**2/7 - 277045375200*b/7 - 138523213952/7 = 0.
-1, 263176
Find q, given that -2*q**4/13 - 5478*q**3/13 - 1004596*q**2/13 - 7752552*q/13 - 11530512/13 = 0.
-2542, -189, -6, -2
Solve 10*w**3 - 27723205*w**2 - 69308065*w - 27723230 = 0 for w.
-2, -1/2, 2772323
Let -5*a**5 - 635*a**4 - 2985*a**3 + 7895*a**2 - 4270*a = 0. Calculate a.
-122, -7, 0, 1
Suppose c**4/6 + 231*c**3 - 4880*c**2/3 - 2079*c + 29253/2 = 0. What is c?
-1393, -3, 3, 7
Let x**2 - 110353*x + 20051122 = 0. What is x?
182, 110171
Suppose -5*h**2 + 761945*h - 5333370 = 0. Calculate h.
7, 152382
Find g such that 2*g**2/7 + 1898*g - 2554420/7 = 0.
-6830, 187
Factor -2*m**2/9 + 8458360*m/9 - 8942981736200/9.
-2*(m - 2114590)**2/9
Factor -4*x**3 - 205948*x**2 - 1647392*x - 3294656.
-4*(x + 4)**2*(x + 51479)
Factor -4*n**2 - 369620*n + 7024224.
-4*(n - 19)*(n + 92424)
Solve -5*y**2 + 4080622*y - 1632248 = 0 for y.
2/5, 816124
Suppose 2*m**2/9 + 1093178*m/9 + 1457560/3 = 0. Calculate m.
-546585, -4
Suppose j**2/3 - 2221624*j/3 - 2221625/3 = 0. What is j?
-1, 2221625
What is d in -3*d**4/7 - 608565*d**3 + 4259964*d**2/7 + 8519916*d/7 = 0?
-1419986, -1, 0, 2
Find i such that -2*i**3 - 160*i**2 + 21638*i - 249860 = 0.
-155, 13, 62
Factor -3*r**3/4 - 81873*r**2/4 - 594981081*r/4 - 488083287819/4.
-3*(r + 937)*(r + 13177)**2/4
Solve -39*s**5/11 + 53*s**4 - 1417*s**3/11 + 329*s**2/11 + 1456*s/11 - 912/11 = 0.
-1, 1, 76/39, 12
What is u in 4*u**3 + 784*u**2 - 196460*u - 38788728 = 0?
-209, 222
Factor o**2/2 - 56524817*o + 3195054936883489/2.
(o - 56524817)**2/2
Factor 4*z**2/5 + 10666288*z/5 + 95996268/5.
4*(z + 9)*(z + 2666563)/5
Solve -2*z**4/3 - 29055754*z**3/3 - 145278670*z**2 - 2179179550*z/3 - 3631965500/3 = 0 for z.
-14527862, -5
Suppose -3*t**5 + 471927*t**4 - 3775290*t**3 + 10381938*t**2 - 11325699*t + 4247127 = 0. What is t?
1, 3, 157301
Determine r, given that -r**2/8 - 23515*r/4 - 211473 = 0.
-46994, -36
Suppose -338*h**5 + 197652*h**4 + 2265486*h**3 - 1830320*h**2 + 357600*h = 0. What is h?
-12, 0, 5/13, 596
Solve 1424163*n**5/7 + 111051642*n**4/7 + 508695093*n**3/7 - 635641266*n**2/7 + 14554464*n/7 - 84096/7 = 0 for n.
-73, -6, 8/689, 1
Factor -x**3/2 + 176237*x**2/2 - 3524140*x + 35239400.
-(x - 176197)*(x - 20)**2/2
Factor -3*y**2 - 67744806*y - 382446561664803.
-3*(y + 11290801)**2
Find j such that -j**3/7 - 1844*j**2/7 + 4797139*j/7 - 9586894/7 = 0.
-3299, 2, 1453
Factor j**2/7 - 362127*j/7.
j*(j - 362127)/7
Suppose 3*k**5 - 34209*k**4 - 171309*k**3 + 2155377*k**2 + 8386938*k - 23477664 = 0. What is k?
-7, 2, 7, 11408
Factor 5*x**3 + 4780*x**2 - 650045*x - 4782820.
5*(x - 127)*(x + 7)*(x + 1076)
Factor 2*j**2/7 + 39947388*j/7 + 199474226002818/7.
2*(j + 9986847)**2/7
Factor q**3/2 - 3819515*q**2 - 15278063*q/2 - 3819516.
(q - 7639032)*(q + 1)**2/2
Suppose -2*r**3/7 + 3415168*r**2/7 - 3415154*r = 0. What is r?
0, 7, 1707577
Factor -2*k**3/9 + 124520*k**2/9 - 1941511466*k/9 + 11608759308.
-2*(k - 31103)**2*(k - 54)/9
Solve -p**4/8 + 287*p**3 + 741609*p**2/8 - 92988*p = 0 for p.
-288, 0, 1, 2583
Determine p, given that 4*p**3 - 1992692*p**2 + 248356578272*p - 44887281803584 = 0.
181, 248996
Suppose -2*x**4 - 187653*x**3/2 - 46913*x**2/2 = 0. What is x?
-46913, -1/4, 0
Determine t, given that 2*t**3 - 136838*t**2 + 273662*t + 410502 = 0.
-1, 3, 68417
Find p, given that -2*p**4/5 - 4278*p**3/5 + 178844*p**2/5 + 36624*p = 0.
-2180, -1, 0, 42
Suppose 2*d**3 - 17104*d**2 - 2452586*d + 10083880 = 0. What is d?
-145, 4, 8693
Solve n**3/7 + 507*n**2/7 + 56051*n/7 + 7935 = 0.
-345, -161, -1
Determine a, given that 2*a**4 - 3532*a**3 + 10290*a**2 + 506664*a + 1904040 = 0.
-6, 15, 1763
Factor 5*f**3 + 380*f**2 + 7655*f + 44880.
5*(f + 11)*(f + 17)*(f + 48)
Suppose 24760*m**4 + 45405*m**3 - 32990*m**2 - 45405*m + 8230 = 0. Calculate m.
-2, -1, 823/4952, 1
Suppose -l**5/5 + 247428*l**4/5 - 11875008*l**3/5 + 189991936*l**2/5 - 202653696*l = 0. Calculate l.
0, 16, 247380
Suppose -4*l**4 - 27288*l**3 + 38284416*l**2 = 0. Calculate l.
-8016, 0, 1194
Solve -m**2 - 8371368*m - 17519950547856 = 0.
-4185684
What is k in -2*k**3/7 - 211248*k**2/7 + 1267542*k/7 - 271620 = 0?
-105630, 3
Factor 4*i**3 - 18072*i**2 + 144284*i + 162360.
4*(i - 4510)*(i - 9)*(i + 1)
Determine u, given that 3*u**5 + 21654723*u**4/7 - 871650924*u**3 + 572417706768*u**2/7 - 17826933675648*u/7 - 5140280052336/7 = 0.
-1031459, -2/7, 94
Solve -4*t**2 - 7027640*t - 3086732748100 = 0 for t.
-878455
Determine n, given that 3*n**3 + 422208*n**2 - 422217*n - 844422 = 0.
-140737, -1, 2
Let -3*k**5/2 - 9777*k**4/2 - 193008*k**3 + 425148*k**2 + 772056*k - 1622376 = 0. Calculate k.
-3219, -42, -2, 2
Factor -5*h**3 - 91046410*h**2 + 182092835*h - 91046420.
-5*(h - 1)**2*(h + 18209284)
Suppose -2*l**4/19 + 1430*l**3/19 - 297222*l**2/19 + 737902*l + 3206744 = 0. Calculate l.
-4, 73, 323
Factor -y**2 + 157574174*y - 6207405077945569.
-(y - 78787087)**2
What is n in -n**4/8 + 1410971*n**3/8 + 2116461*n**2/4 + n/2 - 705487 = 0?
-2, 1, 1410974
Let 3*t**2/4 + 8181*t/4 + 240219 = 0. Calculate t.
-2604, -123
Factor v**3/4 - 177*v**2/4 + 5519*v/4 - 5343/4.
(v - 137)*(v - 39)*(v - 1)/4
Determine x so that 44*x**4/7 - 354*x**3 - 8000*x**2 - 212550*x/7 = 0.
-13, -5, 0, 1635/22
Let -12*l**4 - 5163496*l**3 - 51634660*l**2/3 - 43028800*l/3 = 0. Calculate l.
-430288, -5/3, 0
Factor -2*a**