e g, given that 3710088*g**4/7 - 147885960*g**3/7 + 1463350850*g**2/7 + 206302000*g/7 + 7220000/7 = 0.
-95/1362, 20
Suppose 3*v**5 - 99*v**4 - 125379*v**3 - 1841997*v**2 + 4060512*v - 2093040 = 0. Calculate v.
-180, -17, 1, 228
Determine q so that -2*q**3/7 - 2832*q**2/7 + 179534*q/7 - 139260 = 0.
-1477, 6, 55
Factor 2*h**3 - 906*h**2 - 715968*h - 92447560.
2*(h - 905)*(h + 226)**2
Let 3*j**3 + 29995173*j**2/2 + 7498791*j - 14997585/2 = 0. Calculate j.
-4999195, -1, 1/2
Factor -3*v**2 - 12934230*v - 13941192141075.
-3*(v + 2155705)**2
Determine u, given that 4*u**3/5 + 11612*u**2/5 - 119556*u/5 - 8843868/5 = 0.
-2913, -23, 33
Factor -2*z**2/3 + 9362*z/3 - 1177692.
-2*(z - 4267)*(z - 414)/3
Factor g**2/4 + 3583831*g/4 - 3583833/2.
(g - 2)*(g + 3583833)/4
Let 2*o**5 + 288*o**4 + 10590*o**3 + 38968*o**2 + 37848*o = 0. What is o?
-83, -57, -2, 0
Determine b, given that -3*b**5 + 85974*b**4 + 859977*b**3 + 1806204*b**2 - 3439860*b - 8600400 = 0.
-5, -2, 2, 28668
Let -161*f**2/3 + 238934*f - 44520 = 0. What is f?
30/161, 4452
Solve -5*u**4/3 - 32740*u**3 - 672416420*u**2/3 - 622249892000*u - 1806102168200000/3 = 0.
-7172, -2650
Factor 3*r**2 + 16824*r + 6679620.
3*(r + 430)*(r + 5178)
Let -2*x**3/7 + 3627544*x**2/7 - 58040158*x/7 - 8809672 = 0. What is x?
-1, 17, 1813756
Factor 2*f**2 + 3324840*f + 19948968.
2*(f + 6)*(f + 1662414)
Determine m, given that 5*m**3/4 - 422985*m**2/4 - 5*m/4 + 422985/4 = 0.
-1, 1, 84597
Determine s so that -3*s**3 + 306780*s**2 + 107432673*s - 107739450 = 0.
-350, 1, 102609
Solve 2*r**5/5 - 1980*r**4 + 12597564*r**3/5 - 845356072*r**2/5 - 13700433726*r/5 - 50135820588/5 = 0 for r.
-7, 86, 2439
Find l such that 3*l**2 + 174117*l - 3135078 = 0.
-58057, 18
Find u such that 32*u**5/11 - 4816*u**4/11 - 2518558*u**3/11 - 51394218*u**2/11 + 81349470*u/11 - 31038822/11 = 0.
-201, -23, 3/4, 373
Let -2*y**2 + 12561532*y - 19724010773378 = 0. Calculate y.
3140383
Let 14*r**3 - 93818*r**2 + 120604*r - 26800 = 0. What is r?
2/7, 1, 6700
Suppose a**4 - 64977*a**3 - 6243936*a**2 - 199871488*a - 2132312064 = 0. What is a?
-32, 65073
Determine n so that -n**5/7 - 1824*n**4 + 652839*n**3/7 - 11914370*n**2/7 + 93557700*n/7 - 38457000 = 0.
-12819, 10, 21
Factor 14*l**2/3 + 4588*l/3 + 54530.
2*(l + 287)*(7*l + 285)/3
Factor -74*a**2/9 - 1139966*a/9 + 2341864/9.
-2*(a + 15407)*(37*a - 76)/9
Solve -5*z**2 + 794045*z + 3970350 = 0 for z.
-5, 158814
Find i such that 2*i**3/17 + 4306*i**2/17 + 1095720*i/17 - 6729768/17 = 0.
-1857, -302, 6
Suppose -4*x**4 - 2672*x**3 - 38372*x**2 + 526280*x - 877632 = 0. Calculate x.
-653, -24, 2, 7
Determine x so that 2*x**3/19 - 5396910*x**2/19 + 5396908*x/19 = 0.
0, 1, 2698454
Find p, given that 3*p**5 - 403590*p**4 - 1614423*p**3 + 2018010*p**2 = 0.
-5, 0, 1, 134534
Determine f so that 3*f**2/7 - 499256532*f/7 + 20771423728722252/7 = 0.
83209422
Factor -954845*v**4 + 2640124575*v**3 + 60415125*v**2 + 345625*v.
-5*v*(v - 2765)*(437*v + 5)**2
Find i such that -3*i**5/5 + 2472*i**4/5 + 216972*i**3/5 - 9888*i**2/5 - 173568*i = 0.
-80, -2, 0, 2, 904
Suppose y**5 + 5076*y**4 + 75978*y**3 + 318924*y**2 + 409941*y = 0. What is y?
-5061, -9, -3, 0
Find t such that t**5/4 - 139*t**4/2 - 123845*t**3/4 - 123145*t**2/2 + 30961*t + 61642 = 0.
-238, -2, -1, 1, 518
Determine m, given that 10*m**5/17 - 3044*m**4/17 - 36504*m**3/17 - 48496*m**2/17 + 145856*m/17 + 242688/17 = 0.
-48/5, -2, 2, 316
Factor -3*h**3/7 + 4417029*h**2/7.
-3*h**2*(h - 1472343)/7
Solve 6*j**5 - 1684*j**4 + 135022*j**3 - 2285880*j**2 + 1464408*j = 0.
0, 2/3, 22, 129
Factor o**3/6 - 197*o**2/3 + 11609*o/6 + 3050450/3.
(o - 247)**2*(o + 100)/6
Let -2*i**4 + 67209620*i**3 + 2*i**2 - 67209620*i = 0. Calculate i.
-1, 0, 1, 33604810
Solve -2*p**4/17 - 54036*p**3/17 - 28613640*p**2 - 85707084400*p + 1032610872000 = 0.
-9010, 12
Suppose 2*w**4/5 + 1146*w**3 - 57468*w**2/5 + 18400*w = 0. Calculate w.
-2875, 0, 2, 8
Solve -2*a**4/11 + 416552*a**3/11 - 4315200*a**2 + 1303913312*a/11 + 2801027872/11 = 0 for a.
-2, 58, 208162
Factor 68*u**2 - 373199228*u - 21952896.
4*(u - 5488224)*(17*u + 1)
Let -4*y**2 + 193980*y - 214274736 = 0. Calculate y.
1131, 47364
Find g, given that g**4/2 - 12245*g**3 + 149988997*g**2/2 - 299831070*g + 299782098 = 0.
2, 12243
Factor j**2 - 59424*j - 594340.
(j - 59434)*(j + 10)
Let d**3/2 + 561682*d**2 + 157689399266*d - 30297074043264 = 0. What is d?
-561778, 192
Find j such that 2*j**3/13 + 660*j**2/13 + 64278*j/13 + 124740 = 0.
-165, -126, -39
Determine y so that 3*y**2/5 + 10876986*y/5 + 9859068703683/5 = 0.
-1812831
Factor 2*z**2 + 1442580*z + 2885152.
2*(z + 2)*(z + 721288)
Determine q, given that 868*q**2/3 + 2585*q/3 - 10621 = 0.
-1677/217, 19/4
Solve -12*t**4 + 52280*t**3 - 53180892*t**2 - 8325728208*t + 5574105936 = 0.
-138, 2/3, 2247
Solve w**5/4 + 907*w**4/4 + 119119*w**3/2 + 6693733*w**2/2 - 301543839*w/4 + 1449824427/4 = 0 for w.
-409, -107, 9
Factor 4*z**2 - 75348*z + 226008.
4*(z - 18834)*(z - 3)
Factor -5*a**3 - 1775*a**2 + 211810*a - 3349320.
-5*(a - 78)*(a - 19)*(a + 452)
Determine u so that -2*u**4 + 2608492*u**3 - 850515771626*u**2 - 8505447261312*u + 9355960424448 = 0.
-11, 1, 652128
Determine x, given that x**3/5 - 2631626*x**2/5 - 1052651*x - 2631628/5 = 0.
-1, 2631628
Factor 142875*v**2 + 4429131*v + 186.
3*(v + 31)*(47625*v + 2)
Determine t, given that -324*t**4 + 18718695504*t**3 - 270362311713337552*t**2 - 120161030201290112*t - 13351225680630016 = 0.
-2/9, 28886876
Determine h, given that -h**5/2 - 2031*h**4 + 16263*h**3/2 - 2036*h**2 - 12198*h = 0.
-4066, -1, 0, 2, 3
Let -3*h**3/5 - 1254603*h**2/5 + 10037076*h/5 + 5018508 = 0. What is h?
-418209, -2, 10
Solve -5*v**4 + 15*v**3 + 275925*v**2 - 6829375*v = 0 for v.
-245, 0, 25, 223
Factor -2*l**3/15 - 69696*l**2/5 + 418184*l/15.
-2*l*(l - 2)*(l + 104546)/15
What is h in -11*h**3/6 - 53565*h**2/2 - 211796*h/3 - 43818 = 0?
-14606, -18/11, -1
Factor -j**2/3 + 751*j/3 - 15686.
-(j - 682)*(j - 69)/3
Determine v, given that -2*v**4 - 3568*v**3 - 1015294*v**2 - 1004600*v + 2023464 = 0.
-1429, -354, -2, 1
Factor 1036*a**2 + 688922*a/5 - 2394/5.
2*(a + 133)*(2590*a - 9)/5
Solve -4*g**3/3 + 24866980*g**2/3 - 12882693343296*g + 167473612625904 = 0.
13, 3108366
Find g such that -2*g**5/5 + 6*g**4/5 + 2388*g**3/5 + 16004*g**2/5 + 15534*g/5 - 6786 = 0.
-29, -5, -3, 1, 39
Factor -882000*z**2 - 282487800*z - 22618865405.
-5*(420*z + 67259)**2
Solve 2*w**3/3 + 169354*w**2 + 10755376170*w + 32265620450/3 = 0.
-127015, -1
Factor -3*x**2/8 + 26802945*x/8 - 13401471/4.
-3*(x - 8934314)*(x - 1)/8
Solve -5*n**5/12 - 7259*n**4/12 - 114771*n**3/4 - 2776657*n**2/12 + 1884001*n/6 - 53314 = 0 for n.
-1403, -38, -12, 1/5, 1
Solve 2804*y**4 - 50462*y**3 + 41880*y**2 + 95486*y + 340 = 0 for y.
-1, -5/1402, 2, 17
Solve 1805*y**4 - 72767530*y**3 + 733410530165*y**2 - 308794758360*y + 32504371920 = 0.
4/19, 20157
Factor -2*s**2/5 - 8566756*s/5 - 9173663545442/5.
-2*(s + 2141689)**2/5
Suppose -p**4/9 + 1300*p**3/3 - 346418*p**2/9 - 255668*p/3 + 590395 = 0. What is p?
-5, 3, 93, 3809
Suppose -6*q**3 + 84585*q**2 - 315136068*q + 118251599076 = 0. Calculate q.
843/2, 6838
Find w, given that 4*w**5/5 - 3556623*w**4/5 - 18672408*w**3/5 + 24007147*w**2/5 + 177832152*w/5 + 42679728/5 = 0.
-4, -1/4, 3, 889161
Factor -3*f**2/7 + 307532472*f/7 - 7881351777869232/7.
-3*(f - 51255412)**2/7
Factor w**4/6 - 131*w**3/6 - 16023*w**2 - 5651954*w/3 - 200003300/3.
(w - 425)*(w + 98)**3/6
Let -48*q**4/5 + 719976*q**3/5 - 2699099883*q**2/5 - 5401080054*q/5 = 0. Calculate q.
-2, 0, 30003/4
What is x in -4240*x**5/3 + 18646*x**4 - 60076*x**3 + 185282*x**2/3 - 9736*x - 72 = 0?
-3/424, 1/5, 2, 9
Factor 2*h**2 + 37556*h + 937650.
2*(h + 25)*(h + 18753)
Let 2*g**3/3 + 2262*g**2 + 186520*g/3 - 2153600 = 0. What is g?
-3365, -48, 20
Solve -r**3/7 - 93874629*r**2/7 - 2203111633283847*r/7 - 6609334054979907/7 = 0.
-46937313, -3
Factor 4*w**5 - 10944*w**4 + 7806816*w**3 - 439292160*w**2 + 6444878400*w.
4*w*(w - 1338)**2*(w - 30)**2
Factor -3*x**3/8 - 589821*x**2/8 - 28982770113*x/8 + 782964831609/8.
-3*(x - 27)*(x + 98317)**2/8
Find v, given that 4*v**4 - 236473208*v**3 + 709419600*v**2 - 709419592*v + 236473196 = 0.
1, 59118299
What is k in 2*k**4/11 - 8282*k**3/11 - 24876*k**2/11 + 49712*k/11 + 66304/11 = 0?
-4, -1, 2, 41