 given that 35*t**4 + 18365*t**3 + 1481410*t**2 - 193043060*t + 55033800 = 0.
-370, -222, 2/7, 67
Factor k**4/7 + 1522*k**3/7 - 10721*k**2/7 - 27522*k/7.
k*(k - 9)*(k + 2)*(k + 1529)/7
Solve t**3/3 - 31041*t**2/4 - 38803*t/4 - 11641/6 = 0 for t.
-1, -1/4, 23282
Find n, given that 4*n**2/5 - 308288*n/5 - 616592/5 = 0.
-2, 77074
Factor n**2/10 + 6633441*n/5 + 44002539500481/10.
(n + 6633441)**2/10
Factor -20*q**2 - 595764*q - 119152.
-4*(q + 29788)*(5*q + 1)
Factor 3*h**2/5 - 3442614*h/5.
3*h*(h - 1147538)/5
Factor -4*p**3 - 86156*p**2 + 861960*p.
-4*p*(p - 10)*(p + 21549)
Factor t**2/5 - 449476*t/5 + 1797888/5.
(t - 449472)*(t - 4)/5
Suppose r**2/4 + 10970977*r/2 + 120362336334529/4 = 0. What is r?
-10970977
Factor 5*h**3 + 5528*h**2 - 35536*h + 53376.
(h - 4)*(h + 1112)*(5*h - 12)
Factor -j**2/2 + 2329*j/2 - 105045.
-(j - 2235)*(j - 94)/2
Factor -2*y**4 - 19022*y**3 - 8114678*y**2 - 885878058*y.
-2*y*(y + 221)**2*(y + 9069)
Find k, given that 4*k**5 - 27980*k**4 + 1472116*k**3 - 2860308*k**2 + 1416168*k = 0.
0, 1, 51, 6942
Factor -k**3/2 + 4312885*k**2/2 - 4650242099363*k/2 - 4650246412249/2.
-(k - 2156443)**2*(k + 1)/2
Factor -5*q**3 - 4275*q**2 - 290035*q - 831765.
-5*(q + 3)*(q + 71)*(q + 781)
Solve -t**4 + 17592*t**3 - 74193174*t**2 - 27939983832*t - 2522445944841 = 0 for t.
-177, 8973
Determine k, given that 21*k**2 + 18441*k + 112488 = 0.
-872, -43/7
Solve -2*c**5/3 - 2284*c**4 + 52974*c**3 + 924668*c**2/3 + 386288*c = 0.
-3449, -3, -2, 0, 28
Determine r so that -28*r**5 + 50208*r**4 - 22284056*r**3 - 200382320*r**2 - 425527884*r + 64944080 = 0.
-5, -4, 1/7, 901
Factor -i**2 - 114954*i + 229912.
-(i - 2)*(i + 114956)
Factor -81*y**4 - 5020524*y**3 - 77990248324*y**2 - 6043148955200*y - 117358222240000.
-(y + 30952)**2*(9*y + 350)**2
Factor -14*m**2/15 - 938544*m/5 - 5631208/15.
-2*(m + 2)*(7*m + 1407802)/15
Determine z, given that -2*z**2/13 + 130956*z/13 + 1964790/13 = 0.
-15, 65493
Determine h so that -2*h**3/15 + 26*h**2/15 + 9994*h/3 - 339010/3 = 0.
-167, 35, 145
Factor 4*y**4 - 700*y**3 + 6732*y**2 - 21924*y + 23760.
4*(y - 165)*(y - 4)*(y - 3)**2
What is d in -d**2/2 + 2691598*d - 3622349896802 = 0?
2691598
Let 4*s**2/5 - 32544*s/5 - 1122836 = 0. What is s?
-169, 8305
Factor p**3/7 + 11161*p**2/7 + 2117401*p + 5261678103/7.
(p + 737)**2*(p + 9687)/7
Let -4*z**2/3 + 27312*z - 1063140 = 0. What is z?
39, 20445
Suppose 3*a**5 + 9111*a**4 - 220395*a**3 - 9111*a**2 + 220392*a = 0. Calculate a.
-3061, -1, 0, 1, 24
Factor 9*z**4 - 6755*z**3 + 139209*z**2 - 968289*z + 2252138.
(z - 7)**3*(9*z - 6566)
Factor 3*t**2/7 + 1359000*t/7 - 5048004.
3*(t - 26)*(t + 453026)/7
Let 2*q**5/13 - 550*q**4/13 - 783138*q**3/13 + 2354318*q**2/13 - 2176*q/13 - 3139080/13 = 0. Calculate q.
-505, -1, 2, 777
Factor 3*h**2 + 1905093*h - 1905096.
3*(h - 1)*(h + 635032)
Find d, given that 5*d**2 - 2378220*d - 83243825 = 0.
-35, 475679
Let 4*o**3 + 1665612*o**2 + 173390625600*o - 173392291216 = 0. Calculate o.
-208202, 1
Factor 60823*s**2/3 + 182473*s/3 + 4.
(s + 3)*(60823*s + 4)/3
Solve -45*f**4 + 2432940*f**3 + 11355040*f**2 - 18383920*f + 6488400 = 0 for f.
-6, 2/3, 54070
Let -3*k**4/4 + 3755013*k**3/2 - 4699432525251*k**2/4 - 190363973827428*k - 7710239864261808 = 0. Calculate k.
-81, 1251752
What is l in -2*l**5/9 - 461102*l**4/9 + 1383414*l**3 - 12451050*l**2 + 37353636*l = 0?
-230578, 0, 9
Factor 4*g**2 + 18540372*g + 92701760.
4*(g + 5)*(g + 4635088)
Find t such that 2*t**5/13 - 282*t**4/13 - 1006*t**3/13 + 20802*t**2/13 - 51196*t/13 + 31680/13 = 0.
-11, 1, 2, 5, 144
Factor 17*b**2/6 + 265554*b - 93725/6.
(b + 93725)*(17*b - 1)/6
Factor 4*k**3 + 912*k**2 + 65684*k + 1456152.
4*(k + 43)*(k + 83)*(k + 102)
Let -3*i**3 - 33641265*i**2 - 94311209079384*i + 94311242720652 = 0. Calculate i.
-5606878, 1
Suppose -3*x**4 + 94794432*x**3 - 748832122977975*x**2 + 1497663866778246*x = 0. What is x?
0, 2, 15799071
Find i such that -i**5 - 17368*i**4 - 2073238*i**3 - 59981224*i**2 + 126251639*i - 64179808 = 0.
-17248, -61, 1
Let 542*q**3/7 - 4310*q**2/7 + 7922*q/7 + 390/7 = 0. What is q?
-13/271, 3, 5
Factor 354482*j**3 - 3890040*j**2 - 4271616*j - 1119744.
2*(j - 12)*(421*j + 216)**2
Determine k so that -5*k**2 + 549930710*k + 549930715 = 0.
-1, 109986143
Solve -3*c**5 + 2658*c**4 - 561618*c**3 - 11995020*c**2 - 71588043*c - 99731574 = 0 for c.
-9, -2, 453
Factor 4*u**2 - 1872*u - 1814452.
4*(u - 947)*(u + 479)
Factor -2*q**2/5 - 1413378*q/5 + 4240152/5.
-2*(q - 3)*(q + 706692)/5
Let v**2/5 + 3769*v/5 - 64783682/5 = 0. Calculate v.
-10151, 6382
Factor -g**2/3 - 12148*g - 72884/3.
-(g + 2)*(g + 36442)/3
Determine v, given that v**5/3 + 33*v**4 + 250*v**3/3 - 4462*v**2 - 100331*v/3 - 60515 = 0.
-95, -7, -3, 13
Find k such that -2*k**4/5 + 63456*k**3/5 - 502698032*k**2/5 - 2014601088*k - 10079355040 = 0.
-10, 15874
Suppose -4*y**3 - 146316*y**2 + 878020*y - 731700 = 0. Calculate y.
-36585, 1, 5
Determine r, given that -2*r**3/9 + 1122*r**2 + 2816300*r/3 + 8438800/9 = 0.
-730, -1, 5780
Factor 4*y**3 - 2004080*y**2 + 32064512*y - 128257024.
4*(y - 501004)*(y - 8)**2
Factor 2*f**3 - 5638*f**2 + 880796*f.
2*f*(f - 2653)*(f - 166)
Factor x**2/4 + 15250243*x/4 + 15250241/2.
(x + 2)*(x + 15250241)/4
Find u, given that -3*u**5 + 819*u**4 + 4446*u**3 - 76440*u**2 - 80064*u = 0.
-12, -1, 0, 8, 278
Factor c**3 - 1010570*c**2 - 8084608*c - 16169248.
(c - 1010578)*(c + 4)**2
Let -2*b**5/3 - 1474*b**4/3 + 24308*b**3/3 + 159604*b**2/3 - 8102*b - 52710 = 0. What is b?
-753, -5, -1, 1, 21
Let -2*c**4/11 - 16044*c**3/11 - 38107536*c**2/11 - 22721634880*c/11 - 565282887936/11 = 0. What is c?
-3572, -852, -26
Factor q**2/5 + 32102*q/5 + 128328.
(q + 20)*(q + 32082)/5
Determine q so that -5*q**4 - 3360*q**3 + 394115*q**2 + 2901990*q + 2504520 = 0.
-773, -6, -1, 108
Factor l**2/4 + 311923*l/2 + 1247676.
(l + 8)*(l + 623838)/4
Factor -x**3 - 1108*x**2 - 292736*x - 1153280.
-(x + 4)*(x + 424)*(x + 680)
Suppose x**5/5 - 13677*x**4/5 - 205621*x**3/5 + 3299997*x**2/5 - 616140*x = 0. What is x?
-25, 0, 1, 9, 13692
Factor 4*c**3/5 + 9896*c**2 + 14478628*c/5 + 1072041888/5.
4*(c + 149)**2*(c + 12072)/5
Factor -2*d**2 - 148714912*d - 2764515631395968.
-2*(d + 37178728)**2
What is g in 3*g**3 + 1604010*g**2 + 4812003*g = 0?
-534667, -3, 0
Let 2*z**2 - 17204474*z + 17204472 = 0. Calculate z.
1, 8602236
Suppose -200*m**3 - 11802*m**2 - 118*m = 0. What is m?
-59, -1/100, 0
Solve 2*b**3/5 - 18896*b**2/5 - 56702*b/5 - 37804/5 = 0.
-2, -1, 9451
Factor -3*r**4/5 + 19032*r**3/5 + 10089936*r**2/5.
-3*r**2*(r - 6836)*(r + 492)/5
Factor 1046206*k**2/17 - 11508262*k/17 - 44/17.
2*(k - 11)*(523103*k + 2)/17
Factor -w**2/2 + 7298188*w + 14596378.
-(w - 14596378)*(w + 2)/2
What is f in -f**3 + 12523*f**2 + 25049*f + 12525 = 0?
-1, 12525
Solve 4*g**2 - 562358192*g + 19765421006844304 = 0.
70294774
Factor 5*q**2 - 56491760*q + 159565947394880.
5*(q - 5649176)**2
Factor s**2/3 + 4725872*s/3 + 5583466540096/3.
(s + 2362936)**2/3
Let 3*v**2/2 - 11901*v - 792000 = 0. Calculate v.
-66, 8000
Determine p so that -10658*p**5/9 + 150818*p**4/3 - 290856*p**3 + 579096*p**2 - 381024*p = 0.
0, 126/73, 3, 36
Let 2*l**3 - 24124836*l**2 + 72750988128192*l - 145501879757056 = 0. What is l?
2, 6031208
Factor -4*m**2 - 190952*m + 1718892.
-4*(m - 9)*(m + 47747)
Let -2*r**4/9 - 5894*r**3/9 - 29338*r**2/3 - 158354*r/9 - 76232/9 = 0. Calculate r.
-2932, -13, -1
Factor -75981*u**2 - 151290*u/7 + 192/7.
-3*(7*u + 2)*(25327*u - 32)/7
Factor 2*r**2/15 - 223934*r - 6718028/15.
2*(r - 1679507)*(r + 2)/15
Solve 5*t**3 - 404220410*t**2 - 1212661265*t - 808440850 = 0.
-2, -1, 80844085
Solve -r**4/5 - 577113*r**3 - 8656689*r**2/5 - 8656687*r/5 - 2885562/5 = 0.
-2885562, -1
Solve -1521*a**5 - 1895322*a**4 + 7406057*a**3 - 4929202*a**2 - 565012*a - 15000 = 0.
-1250, -2/39, 1, 3
Find o such that -2*o**3 - 10764324*o**2 + 43057320*o - 43057328 = 0.
-5382166, 2
Factor b**2/7 - 6880890*b/7 + 11836661798025/7.
(b - 3440445)**2/7
Let -5*v**2 + 22665*v - 630700 = 0. What is v?
28, 4505
Factor -16*h**3 - 1551568*h**2 - 29475460*h - 140001576.
-4*(h + 96954)*(2*h + 19)**2
Factor -c**3 - 1103*c**2 + 1502428*c + 3009260.
-(c - 794)*(c + 2)*(c + 1895)
Solve -6*v**3 + 3058*v**2 - 67160*v = 0 for v.
0, 23, 1460/3
What is x in -1225*x**3/2 + 24234315*x**2/2 - 5123