 1/2, 24
Determine x so that 4*x**4 + 90736*x**3 + 39686672*x**2 + 313139072*x + 623375616 = 0.
-22238, -438, -4
Factor -2*u**2 - 106992*u + 40294760.
-2*(u - 374)*(u + 53870)
Find g such that g**2 + 2500508*g + 10002016 = 0.
-2500504, -4
Find v such that 24*v**5 + 22005*v**4 + 6272142*v**3 + 572954301*v**2 + 20206553640*v + 231618488400 = 0.
-395, -52, -183/8
Find i, given that -2*i**5 + 1554*i**4 - 127590*i**3 + 250526*i**2 - 124488*i = 0.
0, 1, 91, 684
Determine j, given that 3*j**4 + 468*j**3 - 21168*j**2 - 586560*j = 0.
-188, -20, 0, 52
Factor -w**3/2 + 145*w**2/2 + 28417*w/2 - 4165681/2.
-(w - 157)**2*(w + 169)/2
Factor 4*v**3 + 15352*v**2 + 7171840*v + 897187200.
4*(v + 260)**2*(v + 3318)
Determine g, given that -5*g**2 + 6575*g + 2075070 = 0.
-263, 1578
Let t**2/2 - 26265*t/2 + 7812252 = 0. What is t?
609, 25656
Factor -3*w**3 + 310662*w**2 - 1242600*w.
-3*w*(w - 103550)*(w - 4)
Solve -c**4/8 + 1805*c**3/4 + 15691*c**2/8 - 1119613*c/2 + 13698867/2 = 0.
-42, 19, 3614
Find d such that -3*d**3 + 3546*d**2 + 35793*d - 39336 = 0.
-11, 1, 1192
Determine x, given that -3*x**2 + 6230226*x + 6230229 = 0.
-1, 2076743
Factor 3*x**5/4 + 759*x**4 + 489645*x**3/2 + 21067371*x**2 - 5318956773*x/4.
3*x*(x - 41)*(x + 351)**3/4
Find i, given that 3*i**4/5 - 2194947*i**3/5 + 17559423*i**2/5 - 28534017*i/5 + 13169538/5 = 0.
1, 6, 731641
Factor -a**2 - 96663078*a - 2335937662108521.
-(a + 48331539)**2
Determine m, given that 2*m**4/5 + 408*m**3 + 236906*m**2/5 - 95988*m + 240992/5 = 0.
-886, -136, 1
Solve 2*x**3/3 + 18092*x**2/3 + 24104*x - 72336 = 0 for x.
-9042, -6, 2
Let -o**4 - 277680*o**3 = 0. Calculate o.
-277680, 0
Factor -4*q**2/3 - 72040*q/3 - 16598400.
-4*(q + 720)*(q + 17290)/3
Suppose -14*c**2/3 + 62358*c + 160380 = 0. Calculate c.
-18/7, 13365
Let -2*f**4/7 + 387224*f**3/7 - 1548832*f**2/7 - 6195584*f/7 + 24781824/7 = 0. What is f?
-4, 4, 193608
Find j such that 5*j**4 + 3940*j**3 + 1017255*j**2 + 82014800*j - 1030568000 = 0.
-280, -239, 11
Suppose -5*r**5 + 1160*r**4 - 48780*r**3 - 1332710*r**2 - 2514415*r - 1231650 = 0. Calculate r.
-17, -1, 90, 161
Let 81180*l**5 - 284138*l**4 - 162332*l**3 + 16*l**2 = 0. What is l?
-1/2, 0, 2/20295, 4
Suppose -4*l**2 + 3305096*l - 16525380 = 0. What is l?
5, 826269
Find d, given that -2*d**4/9 + 104*d**3/3 + 2422*d**2/3 + 30256*d/9 - 30680/3 = 0.
-13, -10, 2, 177
Factor -230*o**2 - 30128*o/3 - 109472/3.
-2*(o + 4)*(345*o + 13684)/3
Determine z so that -2*z**4/9 - 1143200*z**3/3 - 2286398*z**2/3 - 3429596*z/9 = 0.
-1714798, -1, 0
Find z such that -5*z**5 - 490*z**4 - 12870*z**3 - 100820*z**2 - 254965*z - 166530 = 0.
-61, -26, -7, -3, -1
Suppose -5*f**4 - 10715*f**3/3 - 67280*f**2/3 - 4700*f + 14160 = 0. What is f?
-708, -6, -1, 2/3
Suppose -j**2 - 11390*j - 34161 = 0. Calculate j.
-11387, -3
Factor 2197*q**3 + 2365662*q**2 + 5087628*q + 2738120.
(13*q + 14)**2*(13*q + 13970)
Suppose r**5/6 - 332*r**4/3 - 889*r**3/2 - 1669*r**2/3 - 668*r/3 = 0. Calculate r.
-2, -1, 0, 668
Suppose u**3/3 - 127933*u**2/3 - 767626*u/3 - 1023512/3 = 0. Calculate u.
-4, -2, 127939
What is h in 3*h**4 - 15504*h**3 - 701730*h**2 - 10546200*h - 52781625 = 0?
-15, 5213
Determine r so that 4*r**5 + 138072*r**4 + 1225786376*r**3 + 587523970288*r**2 - 591202019820*r - 1177500341800 = 0.
-17005, -509, -1, 2
Factor -c**3 + 29063*c**2 - 208272680*c - 42165269300.
-(c - 14630)**2*(c + 197)
Factor r**3/3 + 628195*r**2 + 295970776224*r - 887917982436.
(r - 3)*(r + 942294)**2/3
Find r, given that -3*r**2 + 663594*r + 1990809 = 0.
-3, 221201
Let 2*c**3/7 - 25882*c**2/7 - 24974578*c/7 + 3571494 = 0. What is c?
-903, 1, 13843
What is j in 4*j**2/5 + 86392432*j/5 + 466478269179664/5 = 0?
-10799054
Determine l, given that -l**2 - 7662*l + 1339443 = 0.
-7833, 171
Find x, given that -4*x**4 - 720*x**3 - 22812*x**2 + 719920*x - 2467584 = 0.
-119, -81, 4, 16
Suppose -3*f**2 - 11183808*f - 44735184 = 0. Calculate f.
-3727932, -4
Let 3*n**5 + 45812*n**4/3 + 467632*n**3/3 + 1382032*n**2/3 + 1381808*n/3 + 81280 = 0. Calculate n.
-5080, -6, -2, -2/9
What is d in 44*d**4/7 - 3532*d**3/7 - 189352*d**2/7 - 781392*d/7 + 186912 = 0?
-33, -6, 14/11, 118
Factor 3*c**2 - 96219*c - 481170.
3*(c - 32078)*(c + 5)
Solve 18*f**5/5 + 5576*f**4/5 + 37098*f**3/5 + 39724*f**2/5 - 82416*f/5 = 0.
-303, -4, -34/9, 0, 1
Solve -c**3/2 + 1027*c**2/2 - 119221*c - 859880 = 0.
-7, 370, 664
Factor -r**3 + 351248*r**2 + 2107516*r + 2810032.
-(r - 351254)*(r + 2)*(r + 4)
Find o such that -2*o**4/11 + 5840*o**3/11 - 5272426*o**2/11 + 1377973468*o/11 - 734481120 = 0.
6, 440, 1237
Factor -3*v**2 + 18465*v + 17933472.
-3*(v - 7008)*(v + 853)
Factor -5*l**2 - 1810000*l + 7240080.
-5*(l - 4)*(l + 362004)
Solve -u**4/8 - 871*u**3 + 1032771*u**2/8 + 4929309*u/4 = 0 for u.
-7113, -9, 0, 154
Factor i**3/4 - 5941*i**2/4 + 778038*i - 106900137.
(i - 5377)*(i - 282)**2/4
Let 4*o**2 + 11348976*o - 11348980 = 0. Calculate o.
-2837245, 1
Suppose -94*f**2/15 - 4214*f/5 - 24908/15 = 0. Calculate f.
-6227/47, -2
Factor 9*b**3 + 6051*b**2 - 72996*b - 804384.
3*(b + 7)*(b + 684)*(3*b - 56)
Solve 2*x**5/9 + 16708*x**4/3 + 2551222*x**3/9 + 277900*x**2 = 0 for x.
-25011, -50, -1, 0
Determine i so that 452*i**4 + 2720*i**3 - 1760*i**2 - 10880*i - 192 = 0.
-6, -2, -2/113, 2
Factor o**2 + 1785697*o - 14285640.
(o - 8)*(o + 1785705)
Determine r, given that -r**4/9 + 661*r**3/9 - 20915*r**2/3 + 1676231*r/9 - 3106754/9 = 0.
2, 53, 553
Factor 2*c**2/7 - 405126*c/7 + 2430684/7.
2*(c - 202557)*(c - 6)/7
Factor a**2/9 - 3119488*a/9 + 2432801345536/9.
(a - 1559744)**2/9
Find t, given that 2*t**3/13 + 2874*t**2/13 - 2014712*t/13 - 8104704/13 = 0.
-1952, -4, 519
Determine k, given that 3*k**3 + 83217*k**2 + 1829253*k - 1912473 = 0.
-27717, -23, 1
Find h such that 2*h**2/9 + 136478*h/9 + 181960/3 = 0.
-68235, -4
Factor -3*x**2 + 7384422*x + 81229005.
-3*(x - 2461485)*(x + 11)
Let -n**5 - 17001*n**4/7 - 386810*n**3 + 11829380*n**2/7 - 14280888*n/7 + 3177856/7 = 0. What is n?
-2257, -176, 2/7, 2
Suppose 2*c**2/3 + 239754*c - 719264/3 = 0. What is c?
-359632, 1
Factor 532*s**2 + 22902592*s - 344400.
4*(s + 43050)*(133*s - 2)
Find f such that -3*f**2/5 + 1747893*f/5 + 41958072 = 0.
-120, 582751
Suppose 3*o**3 - 2496*o**2 + 456027*o - 453534 = 0. Calculate o.
1, 269, 562
Factor 5*c**2 - 493315*c - 43944640.
5*(c - 98752)*(c + 89)
Factor 4*t**4 + 5012*t**3 + 44784*t**2.
4*t**2*(t + 9)*(t + 1244)
Factor -4*t**3 - 8527232*t**2 - 4544699146964*t - 99979254095512.
-4*(t + 22)*(t + 1065893)**2
What is b in b**3/4 + 18337*b**2/2 + 336245569*b/4 = 0?
-18337, 0
Factor -3*t**3/5 - 9864*t**2/5 - 19683*t - 49170.
-3*(t + 5)**2*(t + 3278)/5
Determine r, given that -9*r**4 + 3961182*r**3 - 5281548*r**2 - 5281560*r = 0.
-2/3, 0, 2, 440130
Solve -2*u**2/17 + 65950*u/17 - 5066292/17 = 0 for u.
77, 32898
Factor -d**3 + 5570*d**2 - 265056*d.
-d*(d - 5522)*(d - 48)
Suppose 2*u**2/11 + 22754100*u/11 - 22754102/11 = 0. What is u?
-11377051, 1
Find h such that -h**5/10 - 9517*h**4/5 + 505757*h**3/5 - 185170*h**2 - 4981401*h/10 + 2920311/5 = 0.
-19087, -2, 1, 3, 51
Find q such that -2*q**5/13 - 11262*q**4/13 - 14524540*q**3/13 + 3742660732*q**2/13 - 17139974922*q + 219091549058/13 = 0.
-2929, 1, 113
Suppose 5*h**2 + 148239200*h + 1098743020832000 = 0. Calculate h.
-14823920
Let 5*h**5/3 + 2896*h**4/3 + 139151*h**3 - 339878*h**2/3 - 584212*h/3 + 167912 = 0. Calculate h.
-302, -278, -6/5, 1
Determine v so that -3136*v**5 - 749336*v**4 - 109348521*v**3/4 + 5864409*v**2/4 - 39285*v/2 = 0.
-194, -45, 0, 3/112
Suppose 3*m**4 + 546498*m**3 + 13660125*m**2 - 81963450*m = 0. Calculate m.
-182141, -30, 0, 5
Factor r**2 + 39381*r - 275716.
(r - 7)*(r + 39388)
Find f such that 4*f**2 - 52172*f - 208752 = 0.
-4, 13047
Let -4*q**5 + 10648*q**4 - 4677036*q**3 - 14127032*q**2 - 42640*q + 18836064 = 0. Calculate q.
-2, 1, 559, 2106
Solve 14*p**3/11 + 125112*p**2 + 43042822*p/11 + 12185604/11 = 0.
-98271, -31, -2/7
Factor -p**3 - 1969261*p**2 + 3938525*p - 1969263.
-(p - 1)**2*(p + 1969263)
Let 4*f**3/7 + 8736064*f**2/7 + 4769925888256*f/7 = 0. What is f?
-1092008, 0
Determine m so that 22*m**5/5 + 4402*m**4/5 - 450116*m**3/5 + 846788*m**2/5 - 360946*m/5 - 8030 = 0.
-275, -1/11, 1, 73
Find m, given that 1152*m**4/11 - 13840032*m**3/11 + 41533619186*m**2/11 + 20809