**2
Let g**4/3 + 10106*g**3/3 + 30311*g**2/3 + 20206*g/3 = 0. Calculate g.
-10103, -2, -1, 0
Factor -2*d**3 - 11490*d**2 + 2847908*d.
-2*d*(d - 238)*(d + 5983)
Solve 147*s**2 - 67660698*s + 7785663356883 = 0 for s.
1610969/7
Solve -4*y**5/5 - 530796*y**4/5 - 424628*y**3 - 2653908*y**2/5 - 212312*y = 0 for y.
-132695, -2, -1, 0
Determine d so that 5*d**2/4 - 42365*d/4 + 9403525/2 = 0.
470, 8003
Determine x so that x**2/2 + 144239*x/2 - 721245 = 0.
-144249, 10
Factor m**3/2 + 3188*m**2 - 664178*m + 1315600.
(m - 200)*(m - 2)*(m + 6578)/2
Find r, given that 580*r**4 + 19132*r**3 - 1965304*r**2 + 27104*r = 0.
-77, 0, 2/145, 44
Determine u so that -2*u**4/3 + 58844*u**3/3 + 2061446*u**2/3 + 16025224*u/3 - 6048504 = 0.
-22, -14, 1, 29457
Determine t so that 4*t**4/9 + 530*t**3/9 - 21490*t**2/9 - 135020*t/9 + 24272/3 = 0.
-164, -6, 1/2, 37
Find n such that 2*n**4/11 - 170112*n**3/11 - 170116*n**2/11 + 170112*n/11 + 170114/11 = 0.
-1, 1, 85057
Suppose -231820*b**5/9 + 417266*b**4/3 - 927118*b**3/9 - 556408*b**2/3 + 741608*b/9 + 32/3 = 0. Calculate b.
-1, -3/23182, 2/5, 2, 4
Find x, given that 3*x**5 + 1029*x**4 + 105069*x**3 + 3117687*x**2 + 36232728*x + 146584284 = 0.
-173, -131, -14, -11
Let -2*g**3 - 1648*g**2 - 231946*g + 1705060 = 0. Calculate g.
-641, -190, 7
Let -8*i**4 - 142996*i**3 - 32270176*i**2 - 234486236*i - 109193448 = 0. Calculate i.
-17646, -221, -7, -1/2
Let 2*v**2/7 + 18022568*v/7 + 40601619664328/7 = 0. Calculate v.
-4505642
Suppose 4*s**5/7 + 3438*s**4/7 + 79382*s**3/7 + 95710*s**2 + 339906*s + 409640 = 0. What is s?
-836, -7, -5/2
Find s such that -140*s**3 - 552*s**2 + 206492*s + 206904 = 0.
-1398/35, -1, 37
Find j such that -j**4/4 - 5419*j**3/2 - 7373722*j**2 - 349221909*j/2 + 8682987753/4 = 0.
-5407, -33, 9
Factor -3*c**2 - 1616016*c + 1616019.
-3*(c - 1)*(c + 538673)
Suppose -5*y**2 - 3837530*y - 80585925 = 0. Calculate y.
-767485, -21
Factor 2*l**2/11 - 6026*l/11 + 1310744/11.
2*(l - 2777)*(l - 236)/11
Suppose -1700*g**5 - 18676*g**4 + 187264*g**3 - 471840*g**2 + 373824*g - 5184 = 0. Calculate g.
-18, 6/425, 2, 3
Let -5*m**2 - 151572800*m - 1148715684992000 = 0. Calculate m.
-15157280
What is f in -3*f**4 - 231*f**3 + 70212*f**2 - 139476*f = 0?
-197, 0, 2, 118
Determine w so that 2*w**5 + 952*w**4 + 20374*w**3 - 603472*w**2 - 2679456*w = 0.
-452, -39, -4, 0, 19
What is j in -7137*j**3/5 - 14250*j**2 + 240*j = 0?
-10, 0, 40/2379
Find z such that 2*z**4/5 + 4387692*z**3/5 + 2406458197298*z**2/5 - 4812982210176*z + 12032510371840 = 0.
-1096928, 5
Solve 4*a**2/3 - 3807932*a/3 + 3807928/3 = 0.
1, 951982
Suppose -74*r**5/11 - 758*r**4/11 + 16490*r**3/11 - 7882*r**2/11 - 67896*r/11 - 42840/11 = 0. Calculate r.
-21, -1, 102/37, 10
What is y in -4*y**3 - 828*y**2 - 6368*y = 0?
-199, -8, 0
Factor 3*r**2 + 1330995*r + 2661978.
3*(r + 2)*(r + 443663)
Factor -5*s**3 - 4570660*s**2 - 1044551212425*s - 2089084142250.
-5*(s + 2)*(s + 457065)**2
Factor r**3 + 48516473*r**2.
r**2*(r + 48516473)
Find d, given that 3*d**5/2 + 36923727*d**4/2 + 151484599336431*d**3/2 + 207161905409445608853*d**2/2 - 207162814317780102243*d - 828648833516349466236 = 0.
-4102637, -2, 4
Determine f so that f**5/3 + 235*f**4/3 + 5214*f**3 + 133056*f**2 + 1127520*f = 0.
-145, -36, -18, 0
Let 28*b**5 + 7376*b**4 + 312544*b**3 + 1552640*b**2 + 2693824*b + 1560320 = 0. Calculate b.
-212, -46, -2, -10/7
Factor -4*n**2 - 15515436*n - 77577080.
-4*(n + 5)*(n + 3878854)
Solve -2*w**4 + 21534*w**3 - 79734066*w**2 + 109743412570*w - 30505110748116 = 0 for w.
366, 3467
Let 2*z**2/3 - 19590094*z/3 + 13060060 = 0. Calculate z.
2, 9795045
Determine q, given that -4*q**2 + 395036*q - 2765056 = 0.
7, 98752
Solve 4*v**5 + 41701*v**4 + 3533417*v**3 + 77321084*v**2 + 92069124*v + 18239760 = 0.
-10340, -42, -1, -1/4
Determine f, given that f**2 - 86746*f - 5208360 = 0.
-60, 86806
Find q such that q**5/3 - 2965*q**4 + 213034*q**3/3 - 384474*q**2 + 1703317*q/3 - 251345 = 0.
1, 5, 17, 8871
Factor 4*a**2/7 + 148580*a/7 + 460145400/7.
4*(a + 3410)*(a + 33735)/7
Find g such that 3*g**5 - 525*g**4 - 30666*g**3 + 35886*g**2 + 275751*g - 280449 = 0.
-47, -3, 1, 3, 221
Let 3238010*i**4/7 - 14571057*i**3/7 + 6476074*i**2/7 - 24*i/7 = 0. What is i?
0, 6/1619005, 1/2, 4
Factor -2*p**3 - 1530696*p**2 - 6122760*p - 6122752.
-2*(p + 2)**2*(p + 765344)
Factor -3*g**2/5 - 8133*g/5 + 579942.
-3*(g - 319)*(g + 3030)/5
Suppose -5*i**5 + 49225*i**4 + 8715670*i**3 + 8617210*i**2 - 8715665*i - 8666435 = 0. Calculate i.
-173, -1, 1, 10019
Factor -27*p**2/7 + 17733*p/7 + 39540/7.
-3*(p - 659)*(9*p + 20)/7
Factor -5*n**3 + 45*n**2 + 22610*n + 216600.
-5*(n - 76)*(n + 10)*(n + 57)
What is q in -q**4/2 - 263*q**3 - 9203*q**2/2 - 15007*q - 10668 = 0?
-508, -14, -3, -1
Suppose -8*j**4/5 + 23209*j**3 - 536474*j**2/5 - 182709*j - 261018/5 = 0. What is j?
-1, -3/8, 6, 14501
Solve -j**4/6 + 325*j**3/6 - 11900*j**2/3 - 72250*j = 0 for j.
-15, 0, 170
Factor -u**4 - 2329*u**3 - 1707979*u**2 - 377988891*u.
-u*(u + 411)*(u + 959)**2
Suppose 55*w**3/3 - 88270*w**2/3 + 432200*w/3 - 320000/3 = 0. Calculate w.
10/11, 4, 1600
Factor -2*p**4 + 1256034*p**3 - 197203304160*p**2 + 197202048128*p.
-2*p*(p - 314008)**2*(p - 1)
What is x in -x**4/4 + 14693*x**3/2 - 216704705*x**2/4 + 3010871150*x = 0?
0, 56, 14665
Suppose 2*d**2/9 + 370766*d/9 - 247180/3 = 0. Calculate d.
-185385, 2
Find x, given that 2*x**4 + 572*x**3 + 23902*x**2 + 251812*x + 228480 = 0.
-238, -32, -15, -1
Factor -t**2 + 8126802*t - 16511227686801.
-(t - 4063401)**2
Factor -x**4 + 463164*x**3 - 4168422*x**2 + 12505212*x - 12505185.
-(x - 463155)*(x - 3)**3
Suppose -2*j**3/7 + 5594*j**2/7 + 70016*j - 495704/7 = 0. What is j?
-86, 1, 2882
Find j such that -2*j**4 - 99359*j**3 + 645902*j**2 - 794971*j + 248430 = 0.
-49686, 1/2, 1, 5
Solve -4*j**4/3 - 808*j**3/3 - 33760*j**2/3 - 15104*j + 258048 = 0 for j.
-144, -56, -6, 4
Find g such that -g**2/2 - 115427*g + 14547771/2 = 0.
-230917, 63
Solve -2*h**5/7 - 26468*h**4/7 + 317810*h**3/7 - 1244980*h**2/7 + 1907352*h/7 - 953712/7 = 0.
-13246, 1, 2, 3, 6
Determine p so that 2*p**2/19 - 534168*p/19 - 9081434/19 = 0.
-17, 267101
Factor -l**2/5 - 7100897*l/5.
-l*(l + 7100897)/5
Find j, given that -5*j**5 - 6028*j**4 + 26617*j**3 - 3652*j**2 - 26612*j + 9680 = 0.
-1210, -1, 2/5, 1, 4
Suppose -3*o**4 - 3809*o**3 - 40383*o**2 - 119655*o - 62950 = 0. What is o?
-1259, -5, -2/3
Factor 2*b**2/7 - 610594*b/7 - 1831800/7.
2*(b - 305300)*(b + 3)/7
Factor -u**2/3 + 659026*u - 57334421/3.
-(u - 1977049)*(u - 29)/3
Factor 5*t**3/4 + 1101185*t**2/4.
5*t**2*(t + 220237)/4
Factor 3*h**2/5 - 98761*h/5 + 4175506/5.
(h - 32878)*(3*h - 127)/5
What is r in -3*r**5 + 220284*r**4 - 4045295082*r**3 + 56601753516*r**2 - 198068365803*r = 0?
0, 7, 36707
Determine a, given that 4*a**3 - 17348348*a**2 - 34696712*a = 0.
-2, 0, 4337089
Let -f**4 - 5001*f**3/2 - 1249*f**2 + 5001*f/2 + 1250 = 0. What is f?
-2500, -1, -1/2, 1
Suppose 2*f**5 - 8950*f**4 + 10380500*f**3 - 810947500*f**2 - 8892493750*f - 22885618750 = 0. What is f?
-5, 95, 2195
Suppose -2*k**2/7 + 2920410*k/7 + 2920412/7 = 0. Calculate k.
-1, 1460206
Factor -14109*n**2 - 268075*n - 76.
-(n + 19)*(14109*n + 4)
Find w, given that 3*w**3/4 - 3903*w**2 + 116493*w - 403572 = 0.
4, 26, 5174
Determine w, given that w**3 + 10514*w**2 + 14429265*w + 5333324652 = 0.
-8972, -771
Determine i, given that i**2 + 378688*i + 15145920 = 0.
-378648, -40
Find t, given that 4*t**4 + 127760*t**3 - 4*t**2 - 127760*t = 0.
-31940, -1, 0, 1
Suppose -4*b**5/7 - 1072*b**4/7 + 114664*b**3/7 - 3670976*b**2/7 + 6049284*b - 97004304/7 = 0. What is b?
-356, 3, 27, 29
Factor -5*b**2 - 1033089650*b - 53363711246856125.
-5*(b + 103308965)**2
Let s**3 - 2516330*s**2 + 306981097*s - 9362809968 = 0. What is s?
61, 2516208
Solve 5*x**5 + 17630*x**4 + 20424540*x**3 + 7804821170*x**2 + 7784414255*x = 0 for x.
-1459, -1033, -1, 0
Factor -2*k**3 + 137980*k**2 + 49867200*k + 4493880000.
-2*(k - 69350)*(k + 180)**2
Factor -2*i**3 + 125830*i**2 + 3020784*i + 18126432.
-2*(i - 62939)*(i + 12)**2
Solve -5*q**3 - 384005*q**2 + 768045*q + 1152045 = 0.
-76803, -1, 3
Suppose -4*l**2 + 6262396*l + 18787224 = 0. What is l?
-3, 1565602
Factor z**2/4 - 148020*z - 3552624.
(z - 592104)*(z + 24)/4
Solve -2*v**3 - 63128*v**2 - 1388090*v - 7633164 = 0 