 that 2*l**2 + 257094*l + 15932140 = 0.
-128485, -62
Determine q so that -5*q**4 - 13960*q**3 + 20009975*q**2 + 40075750*q = 0.
-3835, -2, 0, 1045
Find m, given that -5*m**4 + 27015*m**3 - 34412005*m**2 + 103046985*m - 68661990 = 0.
1, 2, 2049, 3351
Factor 5*p**3 + 13095*p**2 + 8527935*p - 60338915.
5*(p - 7)*(p + 1313)**2
Find w such that 2*w**2/3 - 237735512*w/3 + 7064771708237768/3 = 0.
59433878
Let 3*y**5/2 + 457119*y**4/2 + 11608994109*y**3 + 196563486069630*y**2 + 589539552941700*y - 786114648234000 = 0. What is y?
-50790, -4, 1
Suppose p**5/5 - 3338*p**4 + 1363453*p**3/5 - 26519532*p**2/5 - 57196188*p/5 - 29296512/5 = 0. Calculate p.
-1, 42, 16608
Suppose -4*m**2/3 - 2273020*m/3 - 757672 = 0. What is m?
-568254, -1
Let v**2 + 3539*v + 1989438 = 0. Calculate v.
-2838, -701
Factor p**3 + 61497*p**2 - 12329400*p + 616970000.
(p - 100)**2*(p + 61697)
Factor s**2/2 + 15755102*s + 124111619515202.
(s + 15755102)**2/2
Solve h**2/5 + 13109*h/5 + 340158/5 = 0 for h.
-13083, -26
Factor -3*q**3/5 - 86652*q**2/5 + 2948769*q/5 - 25071906/5.
-3*(q - 17)**2*(q + 28918)/5
Let -3*w**5 + 1520268*w**4 - 6081042*w**3 + 9121548*w**2 - 6081027*w + 1520256 = 0. Calculate w.
1, 506752
Factor 2*w**2/9 - 165076*w/9 + 165074/9.
2*(w - 82537)*(w - 1)/9
Suppose -2*i**3 + 2271*i**2 + 164406*i - 878555 = 0. What is i?
-73, 5, 2407/2
Solve -4*i**3/5 + 1496*i**2 + 940252*i/5 - 20537632/5 = 0 for i.
-136, 19, 1987
Let -4*p**4 + 17068*p**3 + 830452*p**2 - 8513740*p + 19676400 = 0. What is p?
-57, 4, 5, 4315
Determine z so that 4*z**5 + 4*z**4 - 4644*z**3 - 13860*z**2 = 0.
-33, -3, 0, 35
Factor -s**2/3 + 3968084*s/3 - 3968083/3.
-(s - 3968083)*(s - 1)/3
Let -3*u**3/4 - 922743*u**2/4 - 35060985*u/4 - 333069069/4 = 0. Calculate u.
-307543, -19
Determine i, given that -2*i**3/7 + 782094*i**2/7 + 3128400*i/7 + 3128408/7 = 0.
-2, 391051
Factor -2*t**3/3 + 140242*t**2/3 + 7015850*t/3 + 87713750/3.
-2*(t - 70171)*(t + 25)**2/3
Determine f, given that f**3/5 + 287*f**2/5 + 3066*f + 39960 = 0.
-222, -45, -20
Let 3*j**5 + 3276*j**4 + 130551*j**3 + 1347066*j**2 + 4086288*j = 0. What is j?
-1051, -27, -8, -6, 0
Factor p**2/4 + 865749*p/4 - 2164385/2.
(p - 5)*(p + 865754)/4
Determine y, given that -9*y**5 - 27942*y**4 + 23443983*y**3 - 4390627272*y**2 - 2945339748*y + 1468759440 = 0.
-3820, -1, 1/3, 358
Solve o**5/5 + 412*o**4/5 + 3636*o**3/5 + 3542*o**2/5 - 6881*o - 12090 = 0.
-403, -5, -2, 3
Solve 2*l**2/7 + 1248*l + 9376120/7 = 0 for l.
-2470, -1898
Factor -15*m**2 - 20163*m - 342366.
-3*(m + 1327)*(5*m + 86)
Determine y so that -2*y**4/19 + 29738*y**3/19 - 111121338*y**2/19 + 4290808390*y/19 - 8137369300/19 = 0.
2, 37, 7415
Factor 60508778931747*v**2/7 - 53892684*v/7 + 12/7.
3*(4491057*v - 2)**2/7
Determine j so that 25*j**4 + 3665560*j**3 + 854187945*j**2 + 1190144890*j + 339622480 = 0.
-146389, -232, -1, -2/5
Factor -y**2 + 6478860*y + 6478861.
-(y - 6478861)*(y + 1)
Factor 2*k**2/13 + 1876*k/13 - 36850326/13.
2*(k - 3849)*(k + 4787)/13
Let -5*s**5/6 - 16160*s**4/3 - 8285840*s**3 + 4062753280*s**2/3 - 158014956160*s/3 = 0. What is s?
-3308, 0, 76
Factor -3*w**2 - 15150*w + 9406293.
-3*(w - 559)*(w + 5609)
Factor -2*f**2/7 - 207894*f/7 - 118792.
-2*(f + 4)*(f + 103943)/7
Let -900*o**3 + 310948*o**2 + 156391*o + 346 = 0. What is o?
-1/2, -1/450, 346
Factor 5*v**3 + 3519625*v**2 - 56314960*v + 225261120.
5*(v - 8)**2*(v + 703941)
Factor -2*n**2/13 + 53140706*n/13 + 53140708/13.
-2*(n - 26570354)*(n + 1)/13
Find x such that 5*x**5 - 270*x**4 - 14950*x**3 - 166200*x**2 - 481855*x - 330330 = 0.
-22, -11, -3, -1, 91
Find l such that 3*l**3/5 - 329829*l**2/5 - 19140003*l/5 - 18810171/5 = 0.
-57, -1, 110001
Determine i, given that -4*i**2 - 109194592*i - 109194588 = 0.
-27298647, -1
Factor 4*x**3 - 34008*x**2 + 50091120*x - 20472631200.
4*(x - 6762)*(x - 870)**2
Factor -i**2 + 2863718*i + 5727440.
-(i - 2863720)*(i + 2)
Solve -3*j**5 - 1275*j**4 - 121056*j**3 + 1593060*j**2 + 383578272*j - 1161699840 = 0.
-280, -98, 3, 48
Factor -q**2/7 - 719252*q/7 + 719253/7.
-(q - 1)*(q + 719253)/7
Factor 2*p**2/11 - 209058572*p/11 + 5463185815834898/11.
2*(p - 52264643)**2/11
Find h, given that -h**3/5 - 29598026*h**2/5 - 219010815372192*h/5 - 438021512352288/5 = 0.
-14799012, -2
Suppose -4*w**5 - 61012*w**4 + 366356*w**3 + 2136452*w**2 + 2929808*w + 1220720 = 0. Calculate w.
-15259, -2, -1, 10
Suppose -2*b**3/17 - 7840*b**2/17 - 70294*b/17 + 406744/17 = 0. What is b?
-3911, -13, 4
Determine h so that 2*h**3/17 - 1681142*h**2/17 + 5043412*h/17 - 3362272/17 = 0.
1, 2, 840568
Factor 2*a**2 - 2900*a + 856562.
2*(a - 1037)*(a - 413)
Factor -5*p**3 - 48411065*p**2 - 117181584927240*p - 117181536516180.
-5*(p + 1)*(p + 4841106)**2
Factor 3*g**2/5 + 6963*g/5 + 349206.
3*(g + 286)*(g + 2035)/5
Determine f, given that -4*f**5 - 968*f**4 - 10428*f**3 + 1058056*f**2 - 8678656*f - 21657600 = 0.
-225, -47, -2, 16
Determine c so that 20*c**4 - 15465*c**3 + 1989145*c**2 + 302409840*c - 75726540 = 0.
-87, 1/4, 326, 534
What is h in -3*h**4/8 + 3466689*h**3/8 - 1001295021531*h**2/8 - 115193995373061*h/8 - 113191391463219/4 = 0?
-113, -2, 577839
What is f in 2*f**2/19 - 1279864*f/19 + 204756482312/19 = 0?
319966
Suppose -q**4/7 - 84369*q**3/7 + 421868*q**2/7 - 24108*q - 674992/7 = 0. What is q?
-84374, -1, 2, 4
Solve 2*z**2/13 + 6097218*z/13 - 36583380/13 = 0.
-3048615, 6
Determine f, given that -3*f**5/5 + 147*f**4/5 - 666*f**3/5 - 5196*f**2/5 + 24312*f/5 - 24768/5 = 0.
-6, 2, 8, 43
Factor -2*z**2/5 + 2696448*z/5 - 5392856.
-2*(z - 1348214)*(z - 10)/5
Let l**5/5 - 368914*l**4/5 - 1106751*l**3/5 - 4*l**2/5 + 1475668*l/5 = 0. Calculate l.
-2, 0, 1, 368917
Suppose 2*c**4/3 - 163040*c**3/3 + 815156*c**2/3 - 163024*c - 489090 = 0. Calculate c.
-1, 3, 81515
Factor -4*s**3 + 949076*s**2 - 30367360*s + 242930688.
-4*(s - 237237)*(s - 16)**2
Find d such that 3*d**4 + 71216979*d**3 - 1281906270*d**2 + 7691438916*d - 15382879128 = 0.
-23739011, 6
What is o in -5*o**3 + 740*o**2 - 19545*o + 18810 = 0?
1, 33, 114
Let 3*r**2 + 12742530*r + 13531005900075 = 0. What is r?
-2123755
Suppose 2*d**2/3 + 986*d + 1089016/3 = 0. What is d?
-788, -691
What is f in 24*f**5/5 - 3701132*f**4/5 + 190257512872*f**3/5 - 3260231591461152*f**2/5 + 5976388382530432*f/5 + 1086627599898112/5 = 0?
-1/6, 2, 51404
Find w, given that -2*w**2/5 - 2586*w - 10267452/5 = 0.
-5538, -927
Determine r so that r**4 - 1463*r**3 + 4380*r**2 = 0.
0, 3, 1460
Factor r**2 - 145*r - 27686.
(r - 254)*(r + 109)
Factor 4*l**3/3 - 86888*l**2/3 + 129522960*l + 313802602848.
4*(l - 11718)**2*(l + 1714)/3
Find z, given that -z**4 - 28884460*z**3 - 208578007372899*z**2 + 28884460*z + 208578007372900 = 0.
-14442230, -1, 1
Factor 3*l**3/4 - 513*l**2/4 - 138072*l.
3*l*(l - 523)*(l + 352)/4
Factor -4*p**4 + 248*p**3 - 4164*p**2 + 15120*p.
-4*p*(p - 36)*(p - 21)*(p - 5)
Determine j so that -j**2/3 - 14311*j/3 + 186550 = 0.
-14350, 39
Factor r**3/3 + 2623*r**2/3 + 2171368*r/3 + 181770832.
(r + 471)*(r + 1076)**2/3
Determine f so that -15*f**2 - 11277879*f + 4511154 = 0.
-751859, 2/5
Factor 6*p**2/11 + 1062766*p/11 + 708508/11.
2*(p + 177127)*(3*p + 2)/11
What is w in w**3 + 2121261*w**2 + 1124938118160*w + 1124935996900 = 0?
-1060630, -1
Factor -2*j**2/5 + 8955572*j/5 - 1791114.
-2*(j - 4477785)*(j - 1)/5
Factor x**4 - 246398*x**3 + 739188*x**2 - 739186*x + 246395.
(x - 246395)*(x - 1)**3
Let 2*w**4 - 33088312*w**3 + 136854548876168*w**2 = 0. Calculate w.
0, 8272078
Let -48*n**4/5 + 42312*n**3/5 + 2002053*n**2/5 + 4185111*n - 10039410 = 0. What is n?
-95/4, 2, 927
Determine n so that 4*n**5 - 17356*n**4 + 1972912*n**3 - 56755264*n**2 - 7891712*n + 227298752 = 0.
-2, 2, 58, 4223
Find q such that -5*q**4 - 615*q**3 + 14925*q**2 - 32305*q - 608400 = 0.
-144, -5, 13
What is t in -5*t**2 + 4154771240*t - 863106202836556880 = 0?
415477124
Solve 8680*u**3 + 121595*u**2 - 129150*u - 1125 = 0 for u.
-15, -15/1736, 1
Let 5*w**5 - 150*w**4 - 605*w**3 + 8270*w**2 + 26640*w + 17920 = 0. Calculate w.
-7, -2, -1, 8, 32
Suppose 16*h**4/3 - 11780*h**3 - 10450580*h**2/3 - 4338940*h - 2601596/3 = 0. What is h?
-263, -1, -1/4, 2473
Find x, given that -2*x**3/9 + 25816*x**2 - 749851530*x + 4498179852 = 0.
6, 58083
Let -2*c**2/15 + 20540*c/3 + 410960/3 = 0. Calculate c.
-20, 51370
Factor 309250227*i**