Determine s, given that -4*s**3/3 - 1949548*s**2/3 + 31193536*s/3 - 124775168/3 = 0.
-487403, 8
Factor 3*v**3 + 304671*v**2 - 7922967*v + 51502581.
3*(v - 13)**2*(v + 101583)
Suppose 4*q**2/7 - 123751576*q/7 + 957153285155236/7 = 0. Calculate q.
15468947
Find k such that -5*k**5/2 - 83945*k**4/2 - 712765*k**3 + 754740*k**2 = 0.
-16772, -18, 0, 1
Solve -7*a**5/3 + 1993*a**4/3 - 64511*a**3 + 6895927*a**2/3 - 46262440*a/3 - 4595100 = 0 for a.
-2/7, 9, 85, 106
Factor -g**2 - 372339964*g - 34659262197880324.
-(g + 186169982)**2
What is l in 2*l**2 - 5837984*l = 0?
0, 2918992
Factor c**5 - 18232*c**4 - 840259*c**3 - 9669062*c**2.
c**2*(c - 18278)*(c + 23)**2
Suppose 4*z**4 - 8872*z**3 + 232676*z**2 + 8654992*z + 8413440 = 0. Calculate z.
-20, -1, 48, 2191
Factor -1442*a**2/5 + 1271904*a/5 - 10584.
-2*(a - 882)*(721*a - 30)/5
Factor 2*f**3/9 - 369886*f**2/9 + 1898592974*f + 150245449902.
2*(f - 92511)**2*(f + 79)/9
Solve 2*r**3 + 10525608*r**2 + 84204768*r + 168409472 = 0.
-5262796, -4
Suppose 2*i**5/3 + 13466100*i**4 + 80796592*i**3/3 - 4*i**2/3 - 26932198*i - 40398296/3 = 0. What is i?
-20199148, -1, 1
Factor r**4 - 179970*r**3 + 8096940277*r**2 + 32389920780*r + 32390640676.
(r - 89987)**2*(r + 2)**2
Factor -3*k**3 + 87447*k**2 + 874743*k + 787293.
-3*(k - 29159)*(k + 1)*(k + 9)
Determine b so that -4*b**4 - 12588*b**3 - 756456*b**2 - 10726352*b - 36291360 = 0.
-3086, -42, -14, -5
Factor 3*n**3 - 13371*n**2 - 1353432*n + 1366800.
3*(n - 4556)*(n - 1)*(n + 100)
Find z such that z**4/8 + 299*z**3/2 + 113609*z**2/4 - 21064107*z/2 - 84482451/8 = 0.
-687, -1, 179
Factor -5*n**3 - 7690*n**2 - 707480*n - 2707200.
-5*(n + 4)*(n + 94)*(n + 1440)
Factor k**4 - 261098*k**3 + 16657041237*k**2 + 50391935410036*k + 37249031652006724.
(k - 132011)**2*(k + 1462)**2
Factor -g**4/5 - 2692659*g**3 - 60420090622374*g**2/5 - 90383621963740934292*g/5 + 271151409672401913288/5.
-(g - 3)*(g + 4487766)**3/5
Determine w, given that -44*w**3 + 1073120*w**2 - 4389316*w + 390160 = 0.
1/11, 4, 24385
Let 2*d**2 - 31624340*d + 125012360054450 = 0. What is d?
7906085
Suppose 4*v**3 + 4604*v**2 + 1300152*v = 0. Calculate v.
-654, -497, 0
Factor -10*d**2/11 - 30338204*d/11.
-2*d*(5*d + 15169102)/11
Determine f so that 2*f**4/9 - 56656*f**3/9 - 283322*f**2/9 - 226664*f/9 = 0.
-4, -1, 0, 28333
Factor 4*u**5/5 - 744*u**4 - 1761440*u**3.
4*u**3*(u - 2020)*(u + 1090)/5
Find s, given that -5*s**5 - 5870*s**4 - 194635*s**3 - 951730*s**2 + 194640*s + 957600 = 0.
-1140, -28, -6, -1, 1
What is x in 3*x**3 - 207465*x**2 + 27759909*x - 929505807 = 0?
67, 69021
Determine l so that -75*l**4 - 26615*l**3 - 427400*l**2 + 57460*l = 0.
-338, -17, 0, 2/15
Solve -d**4/3 - 130*d**3 - 13709*d**2 - 879122*d/3 + 306880 = 0 for d.
-224, -137, -30, 1
Determine o so that o**2/3 - 296525*o/3 + 790712 = 0.
8, 296517
Solve 4*q**2 + 95647568*q + 571778579019664 = 0 for q.
-11955946
Find m such that 3*m**3 + 360108*m**2 + 1440393*m + 1080288 = 0.
-120032, -3, -1
Solve x**2/4 - 5057597*x/2 = 0 for x.
0, 10115194
Factor 1040*n**2/7 + 20374*n/7 - 3090.
2*(5*n + 103)*(104*n - 105)/7
Determine p so that 2*p**4 + 15584*p**3 + 30075374*p**2 - 1101446568*p + 3033240408 = 0.
-3914, 3, 33
Solve -82*a**4/21 + 7687594*a**3/21 - 1124930*a**2/21 - 7687594*a/21 + 53572 = 0 for a.
-1, 6/41, 1, 93751
Factor 4*n**3 - 13861380*n**2 - 138614100*n - 346535500.
4*(n - 3465355)*(n + 5)**2
Factor -3*b**3 - 168396*b**2 - 2364952335*b - 51947479650.
-3*(b + 22)*(b + 28055)**2
Factor -5*o**4 - 4019110*o**3 - 807646183005*o**2 + 6461362382600*o - 12922853378000.
-5*(o - 4)**2*(o + 401915)**2
Factor 12*o**2 + 2161244*o - 72054800.
4*(o + 180137)*(3*o - 100)
Suppose 4*m**4/5 - 15016*m**3/5 + 16415828*m**2/5 - 4160125184*m/5 - 4176556032/5 = 0. Calculate m.
-1, 363, 1696
What is b in -25*b**5/9 - 177245*b**4/9 - 55594384*b**3/9 - 1494302312*b**2/3 - 395520624*b - 78906960 = 0?
-6765, -162, -2/5
Let -3*i**5 + 4557*i**4 + 203586*i**3 - 3266772*i**2 + 8306952*i - 5248320 = 0. What is i?
-56, 1, 2, 10, 1562
Factor 22410*u**2 + 546635*u - 278920.
5*(2*u - 1)*(2241*u + 55784)
Factor 4*w**3 + 197148*w**2 + 985656*w + 788512.
4*(w + 1)*(w + 4)*(w + 49282)
Solve 2*i**3 + 78696*i**2 - 2*i - 78696 = 0 for i.
-39348, -1, 1
Find p, given that -2*p**5/3 + 644660*p**4 - 5157246*p**3 + 25141544*p**2/3 - 3867928*p = 0.
0, 1, 6, 966982
Determine t, given that -4*t**3 - 335168*t**2 - 7027797824*t - 280575900160 = 0.
-41876, -40
Let -1125*m**3 + 95615*m**2 + 97600*m + 860 = 0. Calculate m.
-1, -2/225, 86
Determine f so that 5*f**4 - 1029900*f**3 - 18539280*f**2 - 111237840*f - 222477840 = 0.
-6, 205998
Solve 3*x**5 + 16281*x**4 + 113688*x**3 - 715440*x**2 = 0 for x.
-5420, -11, 0, 4
Factor -2*c**2/3 + 89834852*c - 3026362737698214.
-2*(c - 67376139)**2/3
Determine a, given that -a**3/3 + 3857*a**2/3 - 3724*a/3 - 169664 = 0.
-11, 12, 3856
Solve 2*x**2/7 + 25660*x/7 - 261706 = 0.
-12901, 71
Suppose o**3 + 2405*o**2 + 1914675*o + 505110375 = 0. Calculate o.
-935, -735
Factor -1715906*b**2/17 - 63488518*b/17 + 148/17.
-2*(b + 37)*(857953*b - 2)/17
Find i, given that -4*i**5/5 + 1472164*i**4/5 - 2944316*i**3/5 + 1472156*i**2/5 = 0.
0, 1, 368039
Find r such that -r**2 - 10243755*r = 0.
-10243755, 0
Find i such that 15*i**5 + 27955*i**4 - 346280*i**3 + 1462080*i**2 - 2250880*i + 600320 = 0.
-1876, 1/3, 4
What is g in -243182*g**2/7 + 2918196*g/7 - 144/7 = 0?
6/121591, 12
Find j such that 10*j**5/7 + 1626*j**4/7 - 718*j**3/7 - 1542*j**2 - 5868*j/7 = 0.
-163, -2, -3/5, 0, 3
Let -2*v**3/3 - 45582*v**2 - 782619840*v - 118676194200 = 0. What is v?
-34110, -153
Let -s**2/4 + 5354505*s/2 - 28670723795025/4 = 0. What is s?
5354505
Let -t**2 + 3894*t + 4935307 = 0. Calculate t.
-1007, 4901
Suppose -x**4/7 + 67012*x**3/7 + 536147*x**2/7 + 871254*x/7 + 402120/7 = 0. Calculate x.
-6, -1, 67020
Let -4*x**3 + 9403700*x**2 - 5526843653772*x - 5526853057476 = 0. What is x?
-1, 1175463
Let r**4/2 - 262*r**3 + 60715*r**2/2 - 30096*r = 0. What is r?
0, 1, 171, 352
Factor -4*c**2 + 284128*c + 195635792.
-4*(c - 71714)*(c + 682)
Find o such that -3*o**3/4 - 741*o**2/2 + 991467*o/4 - 494991/2 = 0.
-873, 1, 378
Find u such that 2*u**2 + 1596*u - 99296 = 0.
-856, 58
Find a, given that 2*a**4/3 - 946010*a**3/3 - 4730086*a**2/3 - 2207378*a - 946020 = 0.
-3, -1, 473010
Solve 198*t**4 - 163174850*t**3 - 97245760*t**2 + 59336360*t - 6592928 = 0.
-1, 2/11, 2/9, 824116
Factor -5*b**3/8 + 70209211*b**2/8 - 246466672483047*b/8 + 49293331688241/8.
-(b - 7020921)**2*(5*b - 1)/8
What is i in i**4/2 - 108*i**3 + 6948*i**2 - 116048*i - 260760 = 0?
-2, 30, 82, 106
Factor -j**3 + 1642*j**2 - 34095*j + 87534.
-(j - 1621)*(j - 18)*(j - 3)
Suppose -35*y**3 - 1585*y**2 - 4680*y + 6300 = 0. What is y?
-42, -30/7, 1
Solve -108*v**5 + 6810240*v**4 - 107355488223*v**3 - 131220923457*v**2 - 23858624886*v = 0.
-1, -2/9, 0, 63059/2
Find p, given that -5*p**5 - 6155*p**4 - 2444890*p**3 - 316234270*p**2 + 22004415*p + 2846606985 = 0.
-557, -337, -3, 3
Find u, given that -2*u**5/3 + 20726*u**4/3 - 18759924*u**3 + 4408575216*u**2 - 4164868800*u - 52678861056 = 0.
-3, 4, 258, 5052
Solve z**5 + 12073*z**4 + 48517200*z**3 + 64622903800*z**2 - 1111202378000*z + 1963524810000 = 0.
-4030, 2, 15
Determine j, given that -199*j**5 + 6769*j**4/2 + 549189*j**3/2 - 8678470*j**2 + 68521400*j - 516000 = 0.
-43, 3/398, 20
Suppose -9*y**5 + 36847*y**4/4 - 6288889*y**3/2 + 358521603*y**2 - 375471349*y/2 - 277562747/4 = 0. Calculate y.
-1/4, 7/9, 341
Find t such that -4*t**3 + 17184*t**2 - 6222788*t + 12376872 = 0.
2, 397, 3897
Factor -2*o**4 - 5512*o**3 + 17574954*o**2.
-2*o**2*(o - 1891)*(o + 4647)
Factor -h**3 - 6567*h**2 - 4052088*h - 658068844.
-(h + 334)**2*(h + 5899)
Solve 3*m**2 - 523563*m - 179409438 = 0 for m.
-342, 174863
What is p in 3*p**2/4 - 3346*p - 22315/4 = 0?
-5/3, 4463
Factor -3*o**2 + 345438*o - 21750687.
-3*(o - 115083)*(o - 63)
Solve -3*x**2 + 164959824*x - 2267645294509248 = 0.
27493304
Solve -2*w**2/7 + 57802*w/7 - 14219148 = 0 for w.
1839, 27062
Suppose -3*o**5/2 + 1983*o**4/2 + 74793*o**3 + 554406*o**2 + 1351956*o + 1068720 = 0. What is o?
-61, -4, -2, 730
Factor 5*r**2 + 30244630*r - 30244635.
5*(r - 1)*(r + 6048927)
Let 2*n**2/9 + 5486*n + 197464/9 = 0. Calculate n.
-24683, -4
What is z in -7*z**5 - 725786*z