 given that -15*q**5 - 84775*q**4 - 1154700*q**3 + 6144000*q**2 - 8005600*q + 2029680 = 0.
-5638, -18, 1/3, 2
Factor -c**3/2 + 1271*c**2/2 + 30339*c - 63216.
-(c - 1317)*(c - 2)*(c + 48)/2
Suppose 4602578*w**3 + 67106012*w**2 + 163689216*w - 632623104 = 0. Calculate w.
-12576/1517, 2
What is o in -3*o**3/4 - 39183*o**2/4 - 29575590*o + 16024531524 = 0?
-6764, 467
Factor 32*w**2 - 1267644*w + 1267612.
4*(w - 1)*(8*w - 316903)
Factor -3*n**2/5 + 18034674*n/5 - 27104122190523/5.
-3*(n - 3005779)**2/5
Find z such that -8*z**5 + 1950*z**4 - 160496*z**3 + 5059818*z**2 - 52377176*z - 13413048 = 0.
-1/4, 23, 33, 94
Factor 2*m**3/9 - 38480*m**2/3 - 39216898*m/3 - 29716413068/9.
2*(m - 58726)*(m + 503)**2/9
Factor 2*u**4 - 790104*u**3 + 78039361928*u**2 - 1248478094976*u + 4993710121472.
2*(u - 197518)**2*(u - 8)**2
Factor 5*v**2/2 - 40795*v/2 - 3370005.
5*(v - 8321)*(v + 162)/2
Suppose -2*l**3/3 + 2998*l**2/3 - 334238*l/3 - 3099250 = 0. Calculate l.
-23, 147, 1375
What is z in -24*z**5 - 21345*z**4 - 135417*z**3 - 281037*z**2 - 214623*z - 47682 = 0?
-883, -3, -2, -1, -3/8
Factor 2*r**2/13 - 51425280*r/13 + 330569927884800/13.
2*(r - 12856320)**2/13
Factor -2*n**2 - 30067072*n - 113003602331648.
-2*(n + 7516768)**2
Solve -5*c**4 + 27860*c**3 - 17337935*c**2 - 66590964120*c - 66573598320 = 0 for c.
-1171, -1, 3372
Let u**2/6 - 170213*u/6 + 6855497 = 0. Calculate u.
242, 169971
Let -854*z**3 - 1212682*z**2 + 2425936*z + 5688 = 0. What is z?
-1422, -1/427, 2
Suppose -b**4 + 816*b**3 - 106868*b**2 - 670800*b = 0. What is b?
-6, 0, 172, 650
Solve l**3/6 - 45992*l**2/3 + 367915*l/6 + 76650 = 0.
-1, 5, 91980
Factor -5*h**3 + 909185*h**2 + 7273800*h.
-5*h*(h - 181845)*(h + 8)
Factor -31306*z**2/3 - 20*z/9.
-2*z*(46959*z + 10)/9
Factor -q**3/2 + 311*q**2/2 + 853*q - 19908.
-(q - 316)*(q - 9)*(q + 14)/2
Suppose -3*b**2 - 5058*b - 945024 = 0. What is b?
-1472, -214
What is r in r**2/4 + 1633197*r + 2667332440809 = 0?
-3266394
Factor 2*u**3/13 + 13514*u**2/13 + 7073766*u/13 + 965072718/13.
2*(u + 279)**2*(u + 6199)/13
Let -4*k**3 + 511800*k**2 - 46540676*k = 0. What is k?
0, 91, 127859
Factor p**2/11 - 1521*p/11 - 325090/11.
(p - 1711)*(p + 190)/11
Solve 5*p**2 + 544129960*p + 1088259900 = 0.
-108825990, -2
Determine y so that -8*y**5/3 + 682742*y**4/3 + 284481*y**3 - 256028*y**2/3 - 341377*y/3 + 28448 = 0.
-1, 1/4, 1/2, 85344
What is f in 2*f**3/13 + 302550*f**2/13 + 302548*f/13 = 0?
-151274, -1, 0
Suppose -u**2/6 - 320951*u/6 - 588390 = 0. What is u?
-320940, -11
Suppose u**4/2 - 25*u**3/2 - 18291*u**2/2 + 1029997*u/2 + 4047631 = 0. Calculate u.
-146, -7, 89
Find n, given that -6693*n**4 + 381351*n**3 + 791631*n**2 + 412437*n + 8850 = 0.
-1, -50/2231, 59
Factor 3*y**2/8 + 9363*y/4 - 9923868.
3*(y - 2896)*(y + 9138)/8
Solve -5*n**4 + 37835*n**3 + 2553910*n**2 + 26556420*n + 75576600 = 0.
-55, -6, 7634
Suppose m**4 + 713*m**3 + 39326*m**2 - 1052612*m + 1942200 = 0. Calculate m.
-650, -83, 2, 18
Determine i so that i**2/6 - 13247*i + 79481/6 = 0.
1, 79481
Let 2*d**5/15 + 1592*d**4/15 + 51310*d**3/3 - 1084088*d**2/5 + 662088*d = 0. Calculate d.
-563, -245, 0, 6
Factor 3*s**2/7 - 5892*s/7 + 1132704/7.
3*(s - 1748)*(s - 216)/7
Suppose -4*z**5 - 11431*z**4 + 1260218*z**3 - 34875004*z**2 + 41954906*z - 8328685 = 0. Calculate z.
-2965, 1/4, 1, 53
Factor 5*c**2/4 + 69925*c/2 - 19535755/4.
5*(c - 139)*(c + 28109)/4
Let -c**4/5 + 1514*c**3/5 + 13689*c**2/5 + 27414*c/5 = 0. Calculate c.
-6, -3, 0, 1523
Find g, given that 2*g**2/13 + 1352498660*g/13 + 228656578162724450/13 = 0.
-338124665
Let 2*i**2 - 61040*i + 122072 = 0. Calculate i.
2, 30518
What is c in -2*c**4/11 - 8606*c**3/11 - 12303450*c**2/11 - 525963134*c + 83433490532/11 = 0?
-1439, 14
Factor -t**3/3 + 502192*t**2/3 + 1004387*t/3 + 167398.
-(t - 502194)*(t + 1)**2/3
Factor -z**3/2 - 931389*z**2/2 + 20490921*z/2 - 112700731/2.
-(z - 11)**2*(z + 931411)/2
Factor -4*j**2 - 22940*j - 30210456.
-4*(j + 2049)*(j + 3686)
Solve -2*b**3/7 + 55516*b**2/7 + 1899682*b + 113271816 = 0 for b.
-119, 27996
Factor -a**2/10 - 145929*a/10 - 1385423.
-(a + 95)*(a + 145834)/10
Determine c so that -c**5/3 - 847*c**4/3 - 9690*c**3 + 24894324*c**2 + 149654232*c = 0.
-546, -6, 0, 251
Determine j, given that 2*j**5/3 - 394010*j**4/3 + 11424854*j**3/3 - 48453478*j**2/3 - 515680856*j/3 - 455408512/3 = 0.
-4, -1, 17, 196976
Solve 2*v**4/11 + 5785852*v**3/11 + 5579345299032*v**2/11 + 1793400575754026372*v/11 - 1793406155105111258/11 = 0.
-964309, 1
Let -316969*h**3/12 - 1321361*h**2/12 + 78557497*h/12 + 603664577/12 = 0. Calculate h.
-5959/563, 17
Let -2*z**2/5 - 5396548*z - 18201706447690 = 0. What is z?
-6745685
Determine a so that a**4/4 + 419481*a**3/2 + 176022188217*a**2/4 + 6069770098434*a + 209372623241796 = 0.
-419412, -69
Determine w so that 5*w**5 + 2095*w**4 - 202135*w**3 - 1268815*w**2 - 1922870*w - 858280 = 0.
-499, -4, -1, 86
Determine u so that 3*u**5 - 4167*u**4 - 890922*u**3 - 47895318*u**2 - 320876505*u + 369666909 = 0.
-93, -9, 1, 1583
Factor 2*b**4/3 - 159538*b**3 + 12727462770*b**2 - 338588630813862*b + 8118798326209296.
2*(b - 79761)**3*(b - 24)/3
Find f such that 3134214*f**3 + 18805276*f**2/3 + 9402626*f/3 - 8/3 = 0.
-1, 4/4701321
Factor 12*h**4 + 10154564*h**3 + 2864312535180*h**2 + 269314440061703916*h + 179541687016351288.
4*(h + 282071)**3*(3*h + 2)
Suppose x**5/7 - 140058*x**4/7 + 4904200897*x**3/7 - 1401140232*x**2 + 700560112*x = 0. What is x?
0, 1, 70028
What is r in r**3/7 - 1330823*r**2 - 1330824*r + 55894572/7 = 0?
-3, 2, 9315762
Factor -2*c**2/3 - 5192320*c/3 - 3370023372800/3.
-2*(c + 1298080)**2/3
Solve -4*v**2/9 + 7500*v - 876824/9 = 0.
13, 16862
Solve -2*c**3/13 + 52086*c**2/13 + 612362*c + 5186610 = 0.
-143, -9, 26195
Factor -m**3/5 + 463091*m**2/5 - 10722802640*m + 160837871808/5.
-(m - 231544)**2*(m - 3)/5
Factor 3*h**3/2 - 2385*h**2/2 + 12846*h + 70560.
3*(h - 784)*(h - 15)*(h + 4)/2
Solve -3*u**3 - 32095*u**2 - 5441596*u + 3641996 = 0.
-10526, -173, 2/3
Suppose -c**3 + 2504*c**2/3 - 137196*c + 273280/3 = 0. What is c?
2/3, 224, 610
Find d, given that 6*d**5 + 3369*d**4/2 + 323661*d**3/2 + 5904405*d**2 + 56568078*d - 14513580 = 0.
-102, -62, -15, 1/4
Suppose -n**4/2 + 4317*n**3/2 - 1657008*n**2 + 6602146*n - 6593520 = 0. What is n?
2, 993, 3320
Solve -157800*q**3 - 17452725*q**2 + 7001343*q + 1998 = 0 for q.
-111, -3/10520, 2/5
Suppose -56*k**4/3 + 126061*k**3/3 - 71012255*k**2/3 + 25738125*k - 2109375 = 0. What is k?
5/56, 1, 1125
Find d, given that -12*d**4/5 - 51501*d**3/5 + 1516584*d**2/5 - 375927*d/5 = 0.
-4321, 0, 1/4, 29
What is n in 2*n**4/3 + 52*n**3/3 - 17122*n**2/3 + 112836*n + 118560 = 0?
-114, -1, 24, 65
Suppose 2*y**2/11 - 78462*y/11 + 6576696/11 = 0. What is y?
84, 39147
Factor -c**2/3 - 3260*c/3 - 125600.
-(c + 120)*(c + 3140)/3
Solve -610*h**2 + 31103*h + 357 = 0 for h.
-7/610, 51
Suppose -2*h**3/7 - 43238*h**2 - 10705522*h - 74635990/7 = 0. Calculate h.
-151085, -247, -1
Solve 3*h**5/4 - 235*h**4 - 827*h**3/2 + 6254*h**2 - 41325*h/4 + 4725 = 0.
-20/3, 1, 3, 315
Determine q so that 3*q**2 + 815310*q + 8968047 = 0.
-271759, -11
Let 1201227500*u**5 + 600780950*u**4 - 6605831586*u**3/11 - 919568*u**2/11 - 32*u/11 = 0. Calculate u.
-1, -4/57475, 0, 1/2
Factor 5*w**3 - 715*w**2 - 3700*w.
5*w*(w - 148)*(w + 5)
Factor -z**4 - 263*z**3 - 9611*z**2 + 80507*z.
-z*(z - 7)*(z + 53)*(z + 217)
Solve -c**4/4 + 386*c**3 + 24883*c**2/4 + 60011*c/2 + 38220 = 0 for c.
-7, -2, 1560
Let 15*n**4 + 26080*n**3 - 376385*n**2 + 894470*n + 771320 = 0. What is n?
-1753, -2/3, 4, 11
Find r such that -r**2/2 - 1497087*r = 0.
-2994174, 0
Find w, given that -3*w**2/5 + 111423*w/5 + 20490876/5 = 0.
-183, 37324
Determine f, given that -4*f**3/9 + 16832*f**2/9 + 14871004*f/9 + 14854168/9 = 0.
-749, -1, 4958
Let -3*j**2 + 26226*j - 14270091 = 0. Calculate j.
583, 8159
Determine s so that -2*s**3/13 + 736*s**2 - 1815256*s/13 - 3668800/13 = 0.
-2, 200, 4586
Find a, given that -a**3/3 + 2017994*a**2/3 - 1018074946009*a/3 = 0.
0, 1008997
Factor -h**2/5 - 37388*h/5 - 11751507/5.
-(h + 317)*(h + 37071)/5
Find i such that 32*i**3 - 273087*i**2 + 2174122*i + 68208 = 0.
-1/32, 8, 8526
Solve z**3/4 + 6735*z**2/4 + 2669202*z - 566312229 = 0.
-3462, 189
Factor -8*j**2 + 4780*j - 574092.
-4*(j - 431)*(2*j - 333)
Let -20*v**4 - 4