2, 1
Determine n, given that -n**5/2 - 77*n**4/2 + 240*n**3 + 20578*n**2 - 41800*n = 0.
-76, -25, 0, 2, 22
Let 2*s**2/15 + 12004*s/15 + 1451296/3 = 0. Calculate s.
-5320, -682
Factor 5*r**2 + 5470*r + 1471545.
5*(r + 477)*(r + 617)
Determine o, given that 3*o**2 + 4861044*o + 1969145730828 = 0.
-810174
Factor -5*n**5/3 - 41525*n**4 - 1866375*n**3 - 27984375*n**2 - 139893750*n.
-5*n*(n + 15)**3*(n + 24870)/3
Let -c**2/3 + 33659*c/3 - 794916 = 0. Calculate c.
71, 33588
Suppose -3*v**3 - 59076*v**2 - 275499648*v + 152893824000 = 0. Calculate v.
-10096, 500
Suppose -9*g**3 - 897*g**2 + 63981*g + 199773 = 0. Calculate g.
-147, -3, 151/3
Find t such that -4*t**4 + 4000888*t**3 - 1000444049284*t**2 = 0.
0, 500111
Factor -m**3 - 36909*m**2 - 147615*m + 184525.
-(m - 1)*(m + 5)*(m + 36905)
Determine x, given that 2*x**5/3 + 2*x**4/3 - 1606*x**3/3 - 16906*x**2/3 + 21692*x/3 + 36992/3 = 0.
-17, -1, 2, 32
Solve -2*s**2/9 - 1623398*s/9 + 4870356 = 0 for s.
-811726, 27
Factor 2*z**4 - 1080*z**3 - 23346*z**2 - 121176*z.
2*z*(z - 561)*(z + 9)*(z + 12)
Factor -2*i**3/3 - 102674*i**2/3 - 438236560*i + 25975230024.
-2*(i - 59)*(i + 25698)**2/3
Determine s, given that 3*s**2 - 79309812*s + 524170523289612 = 0.
13218302
Find p such that p**3/3 - 16766*p**2/3 + 77533820*p/3 - 59189422600/3 = 0.
946, 7910
Determine y, given that -2*y**5/9 + 1396*y**4/3 + 80480*y**3/9 - 392980*y**2/9 - 8942*y + 388792/9 = 0.
-23, -1, 1, 4, 2113
Factor 2*y**2/11 - 20661640*y/11 + 53362920936200/11.
2*(y - 5165410)**2/11
Let -13*h**4/3 - 20909*h**3/3 - 34740*h**2 = 0. What is h?
-20844/13, -5, 0
Suppose -1160652*x**2/5 - 224894052*x - 54470821815 = 0. What is x?
-301305/622
Factor -z**2 - 62583852*z - 979184632789476.
-(z + 31291926)**2
Let -574*o**2/23 + 748492*o/23 + 5216/23 = 0. Calculate o.
-2/287, 1304
Factor -3*r**4 + 22464*r**3 - 62535306*r**2 + 76687221312*r - 34961743113267.
-3*(r - 2173)**2*(r - 1571)**2
Suppose -9*w**2 + 1649400*w - 1099596 = 0. Calculate w.
2/3, 183266
Suppose -5691*s**2 - 51684*s - 4185 = 0. Calculate s.
-9, -155/1897
Determine k, given that -3*k**4/7 - 630195*k**3/7 + 3781479*k**2/7 + 42224451*k/7 + 37812780/7 = 0.
-210071, -5, -1, 12
Factor d**2/5 + 85793514*d/5 + 1840131761117049/5.
(d + 42896757)**2/5
Suppose -w**3/8 + 6019703*w**2/4 - 9059209061903*w/2 + 9059203042201 = 0. Calculate w.
2, 6019702
Find v, given that 15129*v**5 + 213171177*v**4 + 263411055*v**3 + 43830435*v**2 - 6255504*v + 169068 = 0.
-14089, -1, -1/3, 2/41
Let i**4/8 + 3465*i**3/8 - 38295*i**2/4 + 108055*i/2 - 73227 = 0. Calculate i.
-3487, 2, 6, 14
Let -n**3/5 + 283*n**2/5 - 20814*n/5 + 114912/5 = 0. What is n?
6, 133, 144
Let 61*n**3 + 142925*n**2 + 4686*n = 0. What is n?
-2343, -2/61, 0
Factor 2*k**3/11 + 138378*k**2/11 + 2360073168*k/11 - 1162444438648/11.
2*(k - 479)*(k + 34834)**2/11
Factor 5*v**2 - 45453905*v - 45453910.
5*(v - 9090782)*(v + 1)
Factor -68277*t**2/10 - 4574557*t/10 + 67/5.
-(t + 67)*(68277*t - 2)/10
Determine m so that 1458*m**4 + 406425762*m**3 + 8399050596*m**2 + 57859173016*m + 132860710160 = 0.
-278735, -62/9
Factor 2*u**2/15 + 115811644*u/15 + 1676542110747842/15.
2*(u + 28952911)**2/15
Factor 4*l**2/7 + 7904*l/7 - 39207780/7.
4*(l - 2295)*(l + 4271)/7
Factor 5*b**3 - 8053855*b**2 + 3243224991120*b + 3243233044980.
5*(b - 805386)**2*(b + 1)
Determine k so that k**2/8 + 66464925*k/8 = 0.
-66464925, 0
Suppose -s**5 - 1784*s**4 - 21165*s**3 + 175666*s**2 + 421736*s = 0. Calculate s.
-1772, -17, -2, 0, 7
Let 2*s**4/11 + 4302*s**3/11 + 47016*s**2/11 - 137800*s/11 - 1797600/11 = 0. What is s?
-2140, -10, -7, 6
Factor -4*k**2/5 - 270964*k/5 + 4607544/5.
-4*(k - 17)*(k + 67758)/5
Factor 27*u**2 - 6101*u + 144872.
(u - 199)*(27*u - 728)
Find u, given that 8*u**4 + 23228*u**3/7 + 1650828*u**2/7 + 4620384*u - 1000944 = 0.
-331, -42, 3/14
Factor 2*j**3 - 25436*j**2 - 509520*j.
2*j*(j - 12738)*(j + 20)
Find m, given that -5*m**2/2 + 497515*m/2 + 59845800 = 0.
-240, 99743
Suppose 2*b**5/9 - 5392*b**4/9 - 519926*b**3/9 - 12809348*b**2/9 - 7362392*b/3 + 3935760 = 0. What is b?
-46, -3, 1, 2790
Factor -3*x**2 - 73857*x - 14360724.
-3*(x + 196)*(x + 24423)
Suppose -225*u**2 - 6603*u - 8484 = 0. What is u?
-28, -101/75
Find t such that 2*t**3 + 15972*t**2 - 642080*t = 0.
-8026, 0, 40
Suppose 50382*d**3/17 - 856504*d**2/17 - 1914346*d/17 + 380/17 = 0. Calculate d.
-2, 5/25191, 19
Solve -p**2 - 6329144*p - 10014515943184 = 0 for p.
-3164572
Factor -4*u**2 + 91115248*u - 518874276131344.
-4*(u - 11389406)**2
Suppose -u**5/4 + 13339*u**4 + 133403*u**3/2 - 13336*u**2 - 907149*u/4 + 160083 = 0. What is u?
-4, -3, 1, 53361
Suppose -104*n**2 - 196828*n + 394072 = 0. What is n?
-49259/26, 2
Determine k so that 6*k**5/7 - 2626*k**4/7 - 16902*k**3/7 + 13306*k**2/7 + 888*k = 0.
-7, -1/3, 0, 1, 444
Suppose 5*j**5 + 1750*j**4 - 77355*j**3 - 50236760*j**2 + 103223060*j + 1761286800 = 0. Calculate j.
-254, -5, 7, 156
Factor o**2 + 35858758*o + 321462631325641.
(o + 17929379)**2
What is j in -j**4/4 - 7307*j**3/4 - 4947162*j**2 - 5867320976*j - 2559991308160 = 0?
-2024, -1235
Solve -6*r**5/5 - 1956*r**4/5 + 282*r**3/5 + 5706168*r**2 - 104105760*r - 507619200 = 0.
-220, -4, 23, 95
Factor 2*j**2 - 86526*j + 259560.
2*(j - 43260)*(j - 3)
Let 39*a**2 + 38892366*a + 5983440 = 0. What is a?
-997240, -2/13
Factor 5*x**3 + 23535*x**2 + 27517455*x - 418074075.
5*(x - 15)*(x + 2361)**2
What is i in i**5/4 - 1182*i**4 + 5690769*i**3/4 - 119987911*i**2/2 - 398504181*i - 617058450 = 0?
-3, 50, 2342
Let -3*m**4 + 1278*m**3 + 23805*m**2 - 535656*m - 558180 = 0. What is m?
-30, -1, 14, 443
Factor -3*l**3 + 5550*l**2 - 2540928*l.
-3*l*(l - 1018)*(l - 832)
Factor -2*x**2/3 - 52090*x - 1562500/3.
-2*(x + 10)*(x + 78125)/3
Suppose 14*f**4 + 536498*f**3 + 5139631578*f**2 - 3675118122*f - 35245816416 = 0. What is f?
-19161, -16/7, 3
What is p in 30450*p**3 + 916316*p**2 + 84472*p - 240 = 0?
-30, -2/21, 2/725
Factor -c**3/3 + 1150*c**2/3 - 50021*c/3 + 327080/3.
-(c - 1105)*(c - 37)*(c - 8)/3
Factor 5*b**3 + 6200*b**2 + 288940*b + 3409120.
5*(b + 22)*(b + 26)*(b + 1192)
Factor k**4/2 - 1516212*k**3 + 1149446382044*k**2 + 4597803722736*k + 4597809787592.
(k - 1516214)**2*(k + 2)**2/2
Solve 4*b**2 - 15672*b - 5846092 = 0.
-343, 4261
Factor 2*g**2/7 - 338074920*g/7 + 14286831441625800/7.
2*(g - 84518730)**2/7
Factor 4*h**3 + 6976*h**2 + 151696*h + 275520.
4*(h + 2)*(h + 20)*(h + 1722)
Factor -c**3 - 37704*c**2 - 113093*c + 377010.
-(c - 2)*(c + 5)*(c + 37701)
Factor 105*p**2 + 1705071*p - 1705176.
3*(p - 1)*(35*p + 568392)
Let 320*b**5 - 3*b**4/5 - 8000*b**3 + 19215*b**2 - 11556*b + 108/5 = 0. What is b?
-6, 3/1600, 1, 2, 3
Factor -4*n**2 + 7049072*n.
-4*n*(n - 1762268)
Let t**3 - 7799*t**2 + 2185406*t - 4339624 = 0. Calculate t.
2, 289, 7508
Factor 3*w**3/7 + 7112166*w**2/7 - 4064100*w + 28448712/7.
3*(w - 2)**2*(w + 2370726)/7
Let -2*g**3/3 - 17036*g**2/3 + 34144*g + 409152 = 0. What is g?
-8524, -6, 12
Find k such that -k**3 + 238296*k**2 - 2144597*k + 3336018 = 0.
2, 7, 238287
Let -d**2 - 802720*d - 161089849600 = 0. Calculate d.
-401360
What is i in 3*i**2/7 - 222479454*i/7 + 4124758954344843/7 = 0?
37079909
Factor -2*l**2/5 + 271408*l/5 - 7049848.
-2*(l - 135574)*(l - 130)/5
Suppose -24*v**3 + 94844*v**2 + 3268384*v + 542096 = 0. What is v?
-34, -1/6, 3986
Let -y**5/2 + 3187*y**4/2 - 4754*y**3 - 70054*y**2 + 19024*y + 254720 = 0. Calculate y.
-5, -2, 2, 8, 3184
Solve -2*f**3/9 - 129718*f**2/3 + 389168*f/9 + 778312/3 = 0.
-194578, -2, 3
Factor -2*v**4/5 + 28048*v**3/5 - 2678784*v**2/5 + 64180224*v/5.
-2*v*(v - 13928)*(v - 48)**2/5
Let -3*y**5 - 348*y**4 + 111330*y**3 + 677040*y**2 + 1018713*y + 453348 = 0. What is y?
-257, -4, -1, 147
Factor y**2/6 - 94289*y/6 + 3862487/3.
(y - 94207)*(y - 82)/6
Factor 75*x**3/2 + 22992540*x**2 + 18394023*x/2 + 919701.
3*(x + 613134)*(5*x + 1)**2/2
Determine y, given that -3*y**3 + 213*y**2 + 22506*y + 65520 = 0.
-56, -3, 130
Suppose -2*l**2/9 - 3478*l/3 + 2974496/9 = 0. What is l?
-5488, 271
What is t in -2*t**3/11 - 130736*t**2/11 - 1176442*t/11 + 1307180/11 = 0?
-65359, -10, 1
Factor 4*d**4 + 1484*d**3 - 2984*d**2.
4*d**2*(d - 2)*(d + 373)
Determine i, given that -i**5 - 815*i**4 - 23621*i**3 + 1170155*i**2 + 36448650*i = 0.
-783, -35, 0, 38
Find w, given that 3*w**3/8 - 2