for j.
-2, -1, 106195
Find k such that 2*k**2/19 - 13179496*k/19 + 21712389351752/19 = 0.
3294874
Let 3*w**2/5 + 31641*w/5 - 42716814/5 = 0. Calculate w.
-11758, 1211
Let 3*p**4/4 - 20619*p**3/4 - 41439*p**2/4 + 1299375*p/4 = 0. What is p?
-9, 0, 7, 6875
Determine g so that -3*g**5/4 - 63*g**4 + 16293*g**3/4 + 280035*g**2/2 + 263250*g = 0.
-117, -25, -2, 0, 60
Suppose 2*v**3/5 - 2298*v**2/5 + 156636*v/5 + 529760 = 0. Calculate v.
-14, 88, 1075
Find p such that -4*p**2 - 46172*p + 2458352 = 0.
-11596, 53
Find n such that -8*n**5/3 - 38518*n**4/3 - 15586834*n**3 - 317645646*n**2 + 333245322*n = 0.
-2397, -87/4, 0, 1
Suppose -u**2/2 + 4300244*u - 25801455/2 = 0. What is u?
3, 8600485
Factor -m**3/5 + 6527243*m**2/5 - 13054483*m/5 + 6527241/5.
-(m - 6527241)*(m - 1)**2/5
Solve -92686*n**2 + 185374*n - 4 = 0 for n.
1/46343, 2
Determine a, given that 4*a**5 - 55756*a**4 + 2112472*a**3 + 6671992*a**2 + 6783524*a + 2279764 = 0.
-1, 41, 13901
Factor -2*s**3 - 2362*s**2 - 856358*s - 98509470.
-2*(s + 283)**2*(s + 615)
Determine y so that -128*y**5/11 - 183520*y**4/11 - 59482354*y**3/11 + 4622993950*y**2/11 + 3492300882*y/11 + 656371170/11 = 0.
-749, -3/8, 65
Find i such that -i**2/3 - 4240*i/3 - 174117 = 0.
-4113, -127
Factor -w**3/4 - 1299*w**2/4 - 15300*w + 15625.
-(w - 1)*(w + 50)*(w + 1250)/4
Factor 5*r**2 + 350620*r + 5608640.
5*(r + 16)*(r + 70108)
Determine y so that -y**5 - 462*y**4 + 36618*y**3 + 247384*y**2 - 31998369*y - 398395170 = 0.
-530, -17, 51
Solve 21*p**5 + 408921*p**4 + 1992393840*p**3 + 16771934304*p**2 + 38645227008*p + 13638502656 = 0 for p.
-9732, -4, -3/7
Suppose -2*u**4/11 + 36466*u**3/11 - 109386*u**2/11 + 109382*u/11 - 36460/11 = 0. What is u?
1, 18230
Factor -731*v**2 - 3817*v - 3086.
-(v + 1)*(731*v + 3086)
Factor -2*i**3/3 - 3498256*i**2/9.
-2*i**2*(3*i + 1749128)/9
Factor 2*d**2 - 257507328*d + 8288752996712448.
2*(d - 64376832)**2
Solve -100*z**5 + 2365060*z**4 + 43542136*z**3 + 208851944*z**2 + 78391404*z + 7668756 = 0 for z.
-9, -1/5, 23669
Factor 4*x**2 - 10593504*x - 190684368.
4*(x - 2648394)*(x + 18)
Factor 3*t**2/7 - 243829620*t/7 + 4954406965778700/7.
3*(t - 40638270)**2/7
Solve -r**2/4 - 6167*r/2 - 748653/4 = 0 for r.
-12273, -61
Solve -4*c**2 + 36756688*c - 220539984 = 0 for c.
6, 9189166
Find x, given that -3*x**2 + 3950376*x + 79008720 = 0.
-20, 1316812
Determine w, given that 5*w**2 - 377210*w + 119447160 = 0.
318, 75124
Let 44*p**4 + 11288*p**3 + 409140*p**2 + 219816*p = 0. Calculate p.
-213, -43, -6/11, 0
Factor -5*v**2 - 206620*v - 120165300.
-5*(v + 590)*(v + 40734)
Determine s, given that 2*s**5/9 + 21598*s**4/9 + 21526*s**3/9 - 756118*s**2/9 - 928712*s/3 - 302344 = 0.
-10798, -3, -2, 7
Suppose 8*s**3 - 7276*s**2 - 167760*s = 0. Calculate s.
-45/2, 0, 932
Factor -2*c**2/15 - 154648312*c/15 - 2989512550556168/15.
-2*(c + 38662078)**2/15
Determine v so that 5*v**2 - 52565*v + 4276710 = 0.
82, 10431
Factor 12*p**2/7 + 23349*p/7 - 1599540/7.
3*(p + 2012)*(4*p - 265)/7
Find s, given that 2*s**4 - 4096*s**3 + 1429628*s**2 + 683544576*s + 55698536322 = 0.
-143, 1167
Suppose 2*k**5 - 864*k**4 + 98840*k**3 - 2737116*k**2 - 98842*k + 2737980 = 0. Calculate k.
-1, 1, 41, 126, 265
Solve -5*f**3 + 8021165*f**2 - 16042295*f - 24063465 = 0.
-1, 3, 1604231
Solve -21*n**3/2 - 66991*n**2 - 18672188*n - 1777696 = 0 for n.
-6088, -292, -2/21
What is p in 5*p**3 + 48969*p**2 - 696428*p - 588480 = 0?
-9808, -4/5, 15
Factor -u**3 - 1639*u**2 + 508372*u - 1010180.
-(u - 265)*(u - 2)*(u + 1906)
Determine u, given that -2*u**5/5 - 1190616*u**4/5 + 4762484*u**3/5 - 7143736*u**2/5 + 4762494*u/5 - 1190624/5 = 0.
-595312, 1
Factor 878872820*f**2 + 3579660*f + 3645.
5*(13258*f + 27)**2
Factor 2*i**2/5 - 16382*i/5 + 18228128/5.
2*(i - 6863)*(i - 1328)/5
Solve 2*b**3 + 98656*b**2 - 3949218*b + 10959696 = 0.
-49368, 3, 37
Let 2*w**3 - 1860916*w**2 + 14887232*w - 29774400 = 0. Calculate w.
4, 930450
Solve -2*o**4/3 - 1262*o**3/3 + 189932*o**2/3 - 4651888*o/3 + 5216640 = 0 for o.
-760, 4, 26, 99
Find s such that -3*s**4/4 - 16181*s**3/4 - 123915*s**2/4 - 199267*s/4 + 40395/2 = 0.
-5386, -5, -3, 1/3
Determine t so that 2*t**2 + 13406*t - 282408 = 0.
-6724, 21
Solve -y**5/4 + 4331*y**4/4 - 3973647*y**3/4 - 1608002527*y**2/4 + 1619888840*y - 1623845175 = 0.
-303, 2, 2315
Find o such that 2*o**2 + 12352702*o + 37058088 = 0.
-6176348, -3
Solve -q**5 - 24054*q**4 + 4743397*q**3 - 232872946*q**2 - 4743396*q + 232897000 = 0.
-24250, -1, 1, 98
Let 20*j**5 + 14788*j**4 + 5884*j**3 - 20692*j**2 = 0. Calculate j.
-739, -7/5, 0, 1
Factor 5*g**3 + 14484230*g**2 + 10489892162220*g + 356639589942120.
5*(g + 34)*(g + 1448406)**2
Suppose 2*m**4 + 1664*m**3 + 87178*m**2 + 1332316*m + 4040400 = 0. What is m?
-777, -26, -25, -4
Determine k so that k**2/3 + 874022*k + 572935842363 = 0.
-1311033
Suppose g**4 - 1140818*g**3 - 43352455*g**2 - 83282452*g - 41070816 = 0. Calculate g.
-36, -1, 1140856
Factor -4*k**2/5 - 74992*k/5 + 405540.
-4*(k - 27)*(k + 18775)/5
Let -m**5/6 + 13911*m**4 + 208679*m**3/3 - 41728*m**2 - 1252047*m/2 - 751239 = 0. What is m?
-3, -2, 3, 83471
Let -4*n**4/7 + 8*n**3 + 480*n**2 - 3832*n/7 - 54340 = 0. What is n?
-19, -13, 11, 35
Determine p, given that -p**3/6 + 611725*p**2/6 - 11010743*p/6 + 10399019/6 = 0.
1, 17, 611707
Factor 5*l**3 + 1270*l**2 + 22115*l - 49350.
5*(l - 2)*(l + 21)*(l + 235)
Factor -2*o**2 + 132238704*o - 2185884354449952.
-2*(o - 33059676)**2
What is m in -41267120754601*m**2/3 + 25695796*m - 12 = 0?
6/6423949
Let b**5 - 271*b**4 + 13670*b**3 + 104764*b**2 + 246264*b + 187200 = 0. What is b?
-3, -2, 78, 200
Find a, given that a**2 + 663*a + 7812 = 0.
-651, -12
Determine t so that -t**4 - 30663*t**3 - 612960*t**2 - 3064300*t = 0.
-30643, -10, 0
Factor -3*f**2/4 + 584943*f/2 + 3509685/4.
-3*(f - 389965)*(f + 3)/4
Let p**3/6 + 15809*p**2/3 + 505504*p/3 + 4043008/3 = 0. What is p?
-31586, -16
Solve 3*d**3/4 + 1257*d**2/2 + 122355*d/4 + 382482 = 0 for d.
-787, -27, -24
Factor -4*s**2 + 1365852*s.
-4*s*(s - 341463)
Suppose 3182*t**5/5 - 76372*t**4/5 - 403121*t**3/2 - 985595*t**2/2 - 1700862*t/5 + 2142/5 = 0. What is t?
-7, -3/2, 2/1591, 34
Solve -3*o**4/5 + 27423*o**3/5 + 16476*o**2 - 768096*o/5 = 0 for o.
-7, 0, 4, 9144
Suppose l**4/3 - 7*l**3 - 802*l**2/3 - 1968*l - 4128 = 0. What is l?
-12, -6, -4, 43
Factor -k**2/7 - 16881*k - 118166/7.
-(k + 1)*(k + 118166)/7
Factor m**3/3 - 25211*m**2/3 - 656114*m/3 - 403792.
(m - 25237)*(m + 2)*(m + 24)/3
Determine f so that 3*f**4 + 1608*f**3 + 184896*f**2 + 6096384*f = 0.
-392, -72, 0
Find n such that -n**2 - 319798*n - 1918752 = 0.
-319792, -6
Factor -l**2/7 + 148544*l/7 + 16500705/7.
-(l - 148655)*(l + 111)/7
Let 7*t**2/4 + 2904148*t + 1659513/4 = 0. Calculate t.
-1659513, -1/7
Suppose 5*y**3 - 21490*y**2 - 15394820*y - 2562031640 = 0. Calculate y.
-322, 4942
Factor -l**2/9 + 232216*l/9 - 180607.
-(l - 232209)*(l - 7)/9
Factor -4*n**4/3 + 29108*n**3/3 + 408100*n**2/3 + 1429036*n/3.
-4*n*(n - 7291)*(n + 7)**2/3
Factor h**2/3 - 100907*h/3 - 1211316.
(h - 100943)*(h + 36)/3
Factor -l**2/6 - 30229*l/6 + 176540.
-(l - 35)*(l + 30264)/6
Solve -2*h**2 + 116564*h - 9777264 = 0 for h.
84, 58198
Let 2521*y**2/4 - 402101*y + 957 = 0. Calculate y.
6/2521, 638
Suppose 2*d**2/13 + 83938*d/13 - 89106360/13 = 0. Calculate d.
-43005, 1036
Determine o so that -33*o**5/2 + 927*o**4/2 - 2097*o**3/2 - 70503*o**2/2 + 3213*o = 0.
-7, 0, 1/11, 17, 18
What is y in 3*y**5/2 + 432*y**4 + 28068*y**3 - 245223*y**2 + 1065333*y/2 - 315945 = 0?
-177, -119, 1, 2, 5
Factor -n**2 - 185470402*n - 8599817504510401.
-(n + 92735201)**2
Factor 3*g**2 - 28200*g + 8821872.
3*(g - 9076)*(g - 324)
Factor 4*k**3 - 7953204*k**2 - 47719332*k - 71579052.
4*(k - 1988307)*(k + 3)**2
Determine u, given that 28*u**5/9 + 1220*u**4/9 - 33428*u**3/9 - 73868*u**2/3 + 11224*u = 0.
-61, -6, 0, 3/7, 23
Factor 4*n**2 + 301940*n - 8759624.
4*(n - 29)*(n + 75514)
Factor -2*m**2/3 - 1492332*m - 835145549334.
-2*(m + 1119249)**2/3
Factor -6*d**3/7 + 1396398*d**2/7 + 1396404*d/7.
-6*d*(d - 232734)*(d + 1)/7
Solve 375*d**4 - 236033050*d**3 + 111421596348305*d**2/3 + 505122150999620*d/3 + 572475894292820/3 = 0.
-34/15, 314713
What is y in 2*y**2 - 1225796*y - 6129030 = 0?
-5, 612903
Find h, given that -3*h**4/2 + 65274*h**3 - 738318237*h**