3028
Find g such that -3*g**3 + 12780*g**2 + 5911425*g + 650385750 = 0.
-215, 4690
Determine i so that 4*i**4 + 16900*i**3 + 18957804*i**2 - 3610683956*i - 11301250188992 = 0.
-1627, 656
Let 4*f**4/7 + 504*f**3 + 1011152*f**2/7 + 93708000*f/7 + 26199936 = 0. What is f?
-342, -196, -2
Factor 3*o**4 + 13997073*o**3 - 83982510*o**2 + 167965068*o - 111976728.
3*(o - 2)**3*(o + 4665697)
Suppose x**3/2 - 1651*x**2/2 + 26175*x/2 - 24525/2 = 0. Calculate x.
1, 15, 1635
Solve -33*y**4 + 42099*y**3 + 180312*y**2 + 215004*y + 46080 = 0.
-2, -3/11, 1280
Factor 3*p**2 - 2110836*p + 12664908.
3*(p - 703606)*(p - 6)
Factor c**2/5 + 196045*c + 7841736/5.
(c + 8)*(c + 980217)/5
Let -k**4/9 - 11422*k**3/9 - 3805*k**2/3 + 7614*k = 0. What is k?
-11421, -3, 0, 2
Determine g so that g**5/3 + 8*g**4/3 - 1151*g**3/3 - 170*g**2 + 91812*g - 179928 = 0.
-34, -18, 2, 21
Let -379677*l**2 + 2277*l = 0. Calculate l.
0, 759/126559
What is j in 3*j**4/5 - 34872*j**3 + 174342*j**2/5 + 871776*j/5 + 523071/5 = 0?
-1, 3, 58119
Suppose -2*d**4/13 + 105658*d**3/13 - 56884*d**2 - 845152*d/13 = 0. Calculate d.
-1, 0, 8, 52822
Factor 2*b**3/3 + 32232*b**2 - 322370*b + 2417900/3.
2*(b - 5)**2*(b + 48358)/3
Factor -x**3 + 84423*x**2.
-x**2*(x - 84423)
Find m, given that -m**5/4 - 485*m**4/4 + 2985*m**3/4 + 18985*m**2/4 - 20236*m - 51555 = 0.
-491, -5, -2, 6, 7
Factor c**5/2 - 813*c**4/2 - 4097*c**3 - 14787*c**2 - 44415*c/2 - 22221/2.
(c - 823)*(c + 1)*(c + 3)**3/2
Solve -l**2/2 - 7207*l + 23819796 = 0.
-17186, 2772
Factor -2*a**2 - 255052*a - 1275210.
-2*(a + 5)*(a + 127521)
Find d, given that -3*d**2 + 350112*d - 2450637 = 0.
7, 116697
Factor -2*s**3 + 34384*s**2 - 11062784*s.
-2*s*(s - 16864)*(s - 328)
Solve -f**2 - 1834606*f - 841444793809 = 0.
-917303
Factor 2*y**2 - 1451778*y - 23228960.
2*(y - 725905)*(y + 16)
Suppose 154*c**5 + 102016*c**4/5 + 818838*c**3/5 + 1040816*c**2/5 + 302392*c/5 - 20832/5 = 0. Calculate c.
-124, -7, -1, -6/11, 2/35
What is c in -5*c**4 + 1925*c**3 - 113480*c**2 + 1816980*c - 3195360 = 0?
2, 24, 42, 317
Factor -2*s**2/9 + 715486592*s/9 - 63990132916471808/9.
-2*(s - 178871648)**2/9
Suppose 432055*r**2/2 - 19442470*r - 450 = 0. What is r?
-2/86411, 90
Find y, given that 34*y**3 - 2628*y**2/11 - 6752*y/11 = 0.
-2, 0, 1688/187
Find v, given that 2*v**4/3 - 24236*v**3 - 945608*v**2/3 + 800044*v + 1091010 = 0.
-15, -1, 3, 36367
Factor x**2/7 + 28202*x/7 + 676272/7.
(x + 24)*(x + 28178)/7
Factor -r**3/2 - 31313*r**2/2 + 187934*r - 501200.
-(r - 8)*(r - 4)*(r + 31325)/2
Determine d so that -6*d**4/7 - 96*d**3/7 + 60402*d**2/7 - 25740*d = 0.
-110, 0, 3, 91
Factor 3*i**4 - 5046042*i**3 + 2121706749783*i**2 + 144293559130548*i + 2453089674045708.
3*(i - 841041)**2*(i + 34)**2
Let 4*s**3 - 60292*s**2 - 1569944*s - 5314848 = 0. What is s?
-22, -4, 15099
Determine g so that 5*g**2 + 90490*g + 31667685 = 0.
-17741, -357
Factor 2*g**2/7 + 2624718*g + 18373024/7.
2*(g + 1)*(g + 9186512)/7
Find u, given that 2*u**5 - 303026*u**4/9 - 370550*u**3/9 + 886630*u**2/3 + 370388*u + 67344 = 0.
-3, -1, -2/9, 3, 16836
Suppose -3*u**3 + 187693035*u**2 - 2935723042805784*u + 2935722855112752 = 0. Calculate u.
1, 31282172
Let 35*y**2 + 839625910*y - 239893120 = 0. Calculate y.
-23989312, 2/7
Let -2*u**3 - 7314*u**2 - 3653448*u - 14496896 = 0. Calculate u.
-3061, -592, -4
Suppose 5*n**3/3 + 318400*n**2/3 + 5077513865*n/3 + 91086027210 = 0. Calculate n.
-31813, -54
Factor y**4/2 + 15067*y**3 + 153217650*y**2 + 544153336837*y + 373542235615579/2.
(y + 383)*(y + 9917)**3/2
Let 12*a**5/7 - 214084*a**4/7 - 1642048*a**3/7 + 571136*a**2/7 = 0. Calculate a.
-8, 0, 1/3, 17848
Find b such that 6*b**4 + 848*b**3 + 7298*b**2 - 457872*b + 301752 = 0.
-127, -33, 2/3, 18
Suppose 12*m**3 + 3463468*m**2 + 21934840*m + 6926784 = 0. Calculate m.
-288616, -6, -1/3
Solve -2*n**4/5 + 704*n**3/5 + 14276*n**2/5 - 66176*n/5 + 51198/5 = 0 for n.
-23, 1, 3, 371
Factor -2*z**2 + 18252*z - 54738.
-2*(z - 9123)*(z - 3)
Find n such that -n**4 - 608*n**3 - 62270*n**2 - 226816*n + 1257375 = 0.
-479, -125, -7, 3
Let -i**2/2 - 88515*i/2 - 1990575 = 0. Calculate i.
-88470, -45
Let r**5 + 21489*r**4 + 115175246*r**3 - 2891815090*r**2 + 5438018481*r - 2661400127 = 0. What is r?
-10757, 1, 23
Determine v, given that -v**4 - 521514*v**3 - 67992648489*v**2 + 407969971920*v - 611961998400 = 0.
-260760, 3
Factor 4*s**2 - 1841137792*s + 211861773070664704.
4*(s - 230142224)**2
Factor s**2/3 - 1408718*s/3 + 496121600881/3.
(s - 704359)**2/3
Factor 2*i**2 - 2410020*i + 2410018.
2*(i - 1205009)*(i - 1)
Factor 4*f**3 - 48584*f**2 - 1022116*f + 1070696.
4*(f - 12167)*(f - 1)*(f + 22)
Find v such that -2*v**5/3 + 241*v**4/6 - 3281*v**3/6 + 3973*v**2/3 + 7478*v + 4620 = 0.
-2, -3/4, 10, 11, 42
Solve 2*a**5/11 + 448*a**4 - 53462*a**3 + 13092776*a**2/11 - 75279400*a/11 - 8087744 = 0 for a.
-2579, -1, 14, 88
Factor 5*x**3 + 4490*x**2 + 426055*x - 430550.
5*(x - 1)*(x + 109)*(x + 790)
Factor -253009*u**3/2 + 1801243*u**2 - 424320*u + 25200.
-(u - 14)*(503*u - 60)**2/2
Suppose 3*q**4 + 666984*q**3 - 2001009*q**2 - 6669858*q + 16007832 = 0. What is q?
-222331, -3, 2, 4
Suppose 56*z**5 + 524*z**4 - 134308*z**3 - 2149480*z**2 + 27822608*z - 3930400 = 0. Calculate z.
-34, 1/7, 17/2, 50
Let -2*q**4/21 - 7878*q**3/7 - 2714630*q**2/21 + 7878*q/7 + 2714632/21 = 0. Calculate q.
-11701, -116, -1, 1
Solve 4*f**2 + 11054976*f - 77385028 = 0 for f.
-2763751, 7
Find n, given that 21*n**3 - 37740*n**2 + 1159404*n - 7841040 = 0.
10, 148/7, 1766
Suppose 3*f**3 + 18135*f**2 - 10583859*f - 10601991 = 0. Calculate f.
-6581, -1, 537
Factor -2*n**2/5 + 1352*n/5 - 94326/5.
-2*(n - 597)*(n - 79)/5
Suppose 4*n**5/7 + 71416*n**4/7 - 1937616*n**3/7 - 115736104*n**2/7 - 1462913716*n/7 - 5711906640/7 = 0. Calculate n.
-17881, -11, 60
Factor -h**2/4 + 73456357*h/2 - 5395836383711449/4.
-(h - 73456357)**2/4
Factor -2*q**3/5 + 31452*q**2/5 + 119662*q.
-2*q*(q - 15745)*(q + 19)/5
Find p such that -p**5/8 + 2461*p**4/8 - 138573*p**3/4 + 196812*p**2 = 0.
0, 6, 112, 2343
Let 2*j**2/7 - 501909144*j/7 + 31489098603851592/7 = 0. What is j?
125477286
Factor -2*v**3/3 - 707198*v**2/3 - 20838826666*v - 20838590934.
-2*(v + 1)*(v + 176799)**2/3
Suppose -4*z**2 - 163336100*z - 326672184 = 0. What is z?
-40834023, -2
Let -4*u**3/3 - 9533768*u**2/3 - 19067524*u/3 - 3177920 = 0. Calculate u.
-2383440, -1
Suppose 2*b**4/19 - 206104*b**3/19 + 5309857352*b**2/19 = 0. Calculate b.
0, 51526
Factor -z**3 - 25571*z**2 - 5351170*z - 5325600.
-(z + 1)*(z + 210)*(z + 25360)
Factor 453221521*m**2/5 - 24312038*m/5 + 326041/5.
(21289*m - 571)**2/5
Find b such that -b**4/5 + 671081*b**3/5 - 30024074424*b**2 + 11195076501185216*b/5 - 190272919029543424/5 = 0.
17, 223688
Suppose -27*y**4/8 - 102213*y**3/8 + 3978435*y**2/4 - 2618211*y/2 + 434475 = 0. What is y?
-3862, 2/3, 75
Suppose 3*x**4/2 + 575181*x**3/2 + 7763850*x**2 = 0. What is x?
-191700, -27, 0
Solve 3*u**3/4 - 960*u**2 + 551007*u/4 - 5891535/2 = 0 for u.
26, 135, 1119
Factor -135922*j**2/5 - 135906*j/5 + 16/5.
-2*(j + 1)*(67961*j - 8)/5
Find u, given that -420799*u**3 + 7153586*u**2 - 51*u = 0.
0, 3/420799, 17
Suppose 2*o**2/7 - 415866*o/7 + 831724/7 = 0. What is o?
2, 207931
Let 3*q**3 - 6186*q**2 + 3883395*q - 770597100 = 0. Calculate q.
485, 1092
Factor 5*w**3/3 + 2570*w**2 + 326400*w + 32506720/3.
5*(w + 68)**2*(w + 1406)/3
Find b such that -3*b**4/7 + 241149*b**3/7 - 10991040*b**2 + 6148838400*b/7 = 0.
0, 160, 80063
Factor 2*s**3/3 - 5438*s**2 + 130408*s/3 - 65192.
2*(s - 8149)*(s - 6)*(s - 2)/3
Factor 3*s**3 - 16260*s**2 - 886188*s - 3284400.
3*(s - 5474)*(s + 4)*(s + 50)
Factor 4*u**2 + 15152*u - 10831380.
4*(u - 615)*(u + 4403)
What is f in 3*f**5 - 25621*f**4 + 55940411*f**3 - 5251730011*f**2 - 8945742582*f + 3563368200 = 0?
-2, 1/3, 100, 4221
Solve 45*a**5 - 1367535*a**4 + 25509515*a**3 + 64536715*a**2 + 50415440*a + 12755820 = 0 for a.
-1, -2/3, 21, 30371
Factor 530*g**2 - 7676514*g - 86904.
2*(g - 14484)*(265*g + 3)
Determine p, given that -91204*p**3 - 386067740*p**2 - 5113468*p - 16932 = 0.
-4233, -1/151
Let 9*i**4 - 26034*i**3 + 2943609*i**2 - 79964064*i - 26982720 = 0. Calculate i.
-1/3, 45, 72, 2776
Suppose -5*k**4/6 - 90190*k**3/3 - 270659550*k**2 + 8691917760*k = 0. Calculate k.
-18054, 0, 32
What is l in 39*l**3 + 111