/3
Determine c, given that c**3/3 - 5695*c**2/3 + 52749*c + 810381 = 0.
-11, 39, 5667
Determine i so that i**5/5 - 563*i**4 + 22453*i**3/5 + 8443*i**2/5 - 61738*i/5 - 44912/5 = 0.
-1, 2, 8, 2807
Factor -v**2/2 - 5501*v/2 - 2782220.
-(v + 1336)*(v + 4165)/2
Factor 3*a**2/4 + 2447283*a/4 - 7341903/2.
3*(a - 6)*(a + 815767)/4
Factor 320*b**3 - 364389360*b**2 - 91097355*b - 5693585.
5*(b - 1138717)*(8*b + 1)**2
Factor -b**2/3 - 7647*b + 321762.
-(b - 42)*(b + 22983)/3
Suppose -15*w**5 + 5461055*w**4 - 497058399720*w**3 + 1159773200440*w**2 + 7281360*w - 662727543120 = 0. What is w?
-2/3, 1, 2, 182034
Suppose 3*u**5 + 9030*u**4 + 7043166*u**3 + 373313892*u**2 + 5039114871*u + 4672835118 = 0. What is u?
-1477, -34, -21, -1
Factor -m**3/6 + 355*m**2/2 - 37079*m/6 + 12005/2.
-(m - 1029)*(m - 35)*(m - 1)/6
Factor 5*y**5 - 136450*y**4 - 272920*y**3.
5*y**3*(y - 27292)*(y + 2)
Factor d**2 - 455*d/2 + 18497/2.
(d - 53)*(2*d - 349)/2
Factor 21033*y**2/4 + 20254777*y/4 - 963/2.
(y + 963)*(21033*y - 2)/4
What is h in 2*h**3/7 + 1882842*h**2/7 + 443132042478*h/7 - 2215707283690/7 = 0?
-470713, 5
What is o in -4*o**2 + 465276*o + 1861168 = 0?
-4, 116323
Factor -q**3/2 - 183307*q**2 - 16793943712*q + 1243755826432.
-(q - 74)*(q + 183344)**2/2
Find x such that -x**4/4 - 74399*x**3/2 + 297609*x**2/4 + 669591*x/2 - 669600 = 0.
-148800, -3, 2, 3
Solve -3*w**3 - 900903*w**2 - 1801797*w - 900897 = 0.
-300299, -1
Find n such that -72628*n**4 + 3268262*n**3 + 6754314*n**2 + 3413330*n - 94 = 0.
-1, 1/36314, 47
Find d, given that 3*d**5 - 573*d**4 - 6236442*d**3 + 6239292*d**2 + 24945720*d - 24948000 = 0.
-1350, -2, 1, 2, 1540
Factor -7396*l**3 + 5063465*l**2/2 - 216818147*l + 54125449/2.
-(8*l - 1)*(43*l - 7357)**2/2
Find z such that -2*z**2/13 + 68574*z/13 + 411516/13 = 0.
-6, 34293
Factor -4*x**3 + 20400*x**2 - 1506884*x - 3095400.
-4*(x - 5025)*(x - 77)*(x + 2)
Find a, given that -4*a**5 + 417*a**4 - 9725*a**3 + 30390*a**2 + 76824*a + 36288 = 0.
-1, -3/4, 6, 28, 72
Let 3*n**3 - 2376*n**2 - 58563*n - 154224 = 0. What is n?
-21, -3, 816
Factor -4*t**3/5 - 3602792*t**2/5.
-4*t**2*(t + 900698)/5
Factor 3*z**2/8 + 248229*z/4 - 248235.
3*(z - 4)*(z + 165490)/8
Let 27*l**4/4 + 1986*l**3 + 98343*l**2 + 209676*l + 41760 = 0. Calculate l.
-232, -60, -2, -2/9
Factor l**4/3 + 3104*l**3/3 + 3097*l**2/3 - 6206*l.
l*(l - 2)*(l + 3)*(l + 3103)/3
Let -51294244*i**5 - 8766288*i**4 + 204802432*i**3 + 35065152*i**2 + 1498176*i = 0. Calculate i.
-2, -306/3581, 0, 2
What is z in -z**5 + 38*z**4 + 866*z**3 + 3812*z**2 - 865*z - 3850 = 0?
-10, -7, -1, 1, 55
Factor -5*z**5 - 38385*z**4 + 45865640*z**3.
-5*z**3*(z - 1051)*(z + 8728)
Factor 77*h**3 + 21326*h**2 + 83253*h - 3276.
(h + 4)*(h + 273)*(77*h - 3)
Let -5*w**2/2 - 84405*w - 2866880 = 0. Calculate w.
-33728, -34
Solve 3*h**2 + 433352910*h + 15649562050455675 = 0 for h.
-72225485
Solve -123*o**3/7 + 3879*o**2/7 - 27786*o/7 = 0.
0, 11, 842/41
Determine q so that 19321*q**5/8 + 1030685*q**4/8 + 1626171*q**3/4 + 128916*q**2 + 10800*q = 0.
-50, -3, -24/139, 0
Solve -9009*u**3/4 + 324323*u**2/2 - 639495*u/4 - 71/2 = 0.
-2/9009, 1, 71
Factor -2*w**2/5 - 463654*w + 4636548/5.
-2*(w - 2)*(w + 1159137)/5
Let -p**3/4 + 4171987*p**2/4 = 0. What is p?
0, 4171987
Factor -4*w**2 + 38968*w + 5694336.
-4*(w - 9886)*(w + 144)
Let -p**2/5 - 6174*p/5 - 2427344/5 = 0. Calculate p.
-5752, -422
Factor -9471*x**2 + 40696889*x - 8594.
-(x - 4297)*(9471*x - 2)
Solve -2*w**2/3 + 22299920*w/3 - 62160804000800/3 = 0 for w.
5574980
Determine r so that r**5/4 - 415*r**4 + 907179*r**3/4 - 40983355*r**2 + 40756975*r = 0.
0, 1, 490, 679
Determine o, given that 4*o**2 + 26562136*o - 26562140 = 0.
-6640535, 1
Find s such that 9*s**4 - 80175*s**3 - 936396*s**2 - 1820160*s + 4281600 = 0.
-8, -5, 4/3, 8920
Factor y**2/7 + 4150*y/7 + 62025/7.
(y + 15)*(y + 4135)/7
Factor 12005*a**2 + 62578880*a + 81551774720.
5*(49*a + 127712)**2
Solve 4*y**3 + 228489056*y**2 - 228489060*y = 0.
-57122265, 0, 1
Determine d, given that 3*d**2 + 6122256*d + 48977856 = 0.
-2040744, -8
Find w such that 4*w**3/7 + 1472*w**2/7 - 448*w - 164864 = 0.
-368, -28, 28
Find w such that -10*w**5 + 712*w**4 + 22008*w**3 - 1689984*w**2 = 0.
-48, 0, 54, 326/5
Let 2*p**4/9 + 12176*p**3/9 - 188240*p**2/3 - 2404928*p/9 - 2453600/9 = 0. Calculate p.
-6134, -2, 50
Suppose 4*t**3 + 940*t**2 - 17551664*t + 17550720 = 0. Calculate t.
-2216, 1, 1980
Find a, given that 2*a**2 + 55638*a + 3164868 = 0.
-27762, -57
Let -f**3 - 8642*f**2 - 1123707*f - 3293370 = 0. What is f?
-8510, -129, -3
Find i, given that 2*i**2/3 + 2538122*i/9 + 846040/9 = 0.
-423020, -1/3
Suppose -3*d**5/5 + 1344*d**4/5 - 85692*d**3/5 + 326736*d**2/5 - 321408*d/5 = 0. Calculate d.
0, 2, 72, 372
Find d, given that -760*d**2/7 + 5204*d/7 - 552 = 0.
161/190, 6
Let b**2 + 54372422*b + 739090068536521 = 0. What is b?
-27186211
Let 4*a**2/7 + 38164104*a/7 + 91031177132676/7 = 0. Calculate a.
-4770513
Factor -4*y**3 + 3302244*y**2 - 681509684796*y - 17039806084900.
-4*(y - 412793)**2*(y + 25)
Suppose -2*x**5 + 58*x**4 + 3294*x**3 - 40258*x**2 - 1285492*x + 2704800 = 0. Calculate x.
-24, -23, 2, 25, 49
Let 4*l**2/3 - 38688*l + 232080 = 0. What is l?
6, 29010
Factor -3*s**2 - 27657*s + 12598470.
-3*(s - 435)*(s + 9654)
Suppose -d**5/4 + 1081*d**4/4 - 31417*d**3/4 - 121385*d**2/4 + 1379101*d/2 - 651620 = 0. Calculate d.
-10, 1, 8, 31, 1051
Factor -4*h**2 + 85259812*h + 85259816.
-4*(h - 21314954)*(h + 1)
Suppose -2*v**5 + 490*v**4 + 16460*v**3 + 11540*v**2 - 147978*v - 143550 = 0. What is v?
-29, -3, -1, 3, 275
Find t, given that 2*t**4 - 368*t**3 - 38646*t**2 + 119196*t = 0.
-77, 0, 3, 258
Let 5*v**5 - 37575*v**4 + 68439400*v**3 + 8094963700*v**2 + 236117112000*v + 228090625280 = 0. Calculate v.
-56, -1, 3814
Factor 14*p**3/5 - 426204*p**2 + 2131006*p/5.
2*p*(p - 1)*(7*p - 1065503)/5
Factor x**2/5 - 168605519*x/5.
x*(x - 168605519)/5
Factor 1415*i**2/2 - 73*i/2.
i*(1415*i - 73)/2
Factor -3*g**2 + 135444552*g - 1528768888873392.
-3*(g - 22574092)**2
Find b such that -48*b**5 - 2944016*b**4 - 37282300*b**3 + 53226240*b**2 - 23792492*b + 3433976 = 0.
-61321, -14, 1/3, 1/2
Factor -c**3/4 + 1971*c**2/4 + 35173*c + 34680.
-(c - 2040)*(c + 1)*(c + 68)/4
Solve -3*i**4/2 - 148953*i**3/2 + 148959*i**2 = 0 for i.
-49653, 0, 2
Factor -2*l**3 + 7732*l**2 - 1922818*l + 123696488.
-2*(l - 3604)*(l - 131)**2
Factor -1990705*r**2 - 15925630*r + 80.
-5*(r + 8)*(398141*r - 2)
Suppose -d**2 - 858709*d + 18033330 = 0. What is d?
-858730, 21
Factor 686615*m**2 - 6179525*m - 90.
5*(m - 9)*(137323*m + 2)
Factor c**2/4 + 1467277*c/2 + 2934550.
(c + 4)*(c + 2934550)/4
Solve -m**4 + 765*m**3 - 134312*m**2 - 3060*m + 537264 = 0.
-2, 2, 273, 492
Suppose -z**2/2 - 112843890*z - 6366871755166050 = 0. What is z?
-112843890
Suppose t**2/2 - 574965*t - 3449799/2 = 0. Calculate t.
-3, 1149933
Factor 2*k**2/13 - 120080*k/13.
2*k*(k - 60040)/13
What is l in -l**4/3 - 95*l**3 + 1695*l**2 + 3390485*l/3 + 1128372 = 0?
-252, -133, -1, 101
Determine u so that -u**3/5 + 338*u**2/5 - 30831*u/5 + 451278/5 = 0.
18, 137, 183
Suppose 4*y**2 + 646792*y + 12287604 = 0. What is y?
-161679, -19
Factor 2*b**4 - 1152*b**3 - 23768*b**2 - 42912*b.
2*b*(b - 596)*(b + 2)*(b + 18)
Solve b**2/7 + 3879633*b/7 + 11638890/7 = 0.
-3879630, -3
Let i**2/5 + 1553233*i + 15532326/5 = 0. Calculate i.
-7766163, -2
Suppose -1280*g**5 + 25897440*g**4 - 130991679405*g**3 = 0. Calculate g.
0, 161859/16
Factor 2*p**3 - 10658*p**2 - 494324*p - 946000.
2*(p - 5375)*(p + 2)*(p + 44)
Find t such that 2*t**4 - 3290*t**3 + 1339360*t**2 + 10886600*t + 16389408 = 0.
-6, -2, 812, 841
Let -2*h**3/9 + 2203520*h**2/9 - 8814056*h/9 + 2938016/3 = 0. What is h?
2, 1101756
Factor 2*s**2/7 + 8321476*s/7 + 1188782.
2*(s + 1)*(s + 4160737)/7
Suppose 4*w**2 - 41924*w + 1045600 = 0. Calculate w.
25, 10456
Let 93728668274018*c**3/13 + 54766024*c**2/13 + 8*c/13 = 0. Calculate c.
-2/6845753, 0
Suppose 2*s**4/3 + 5704*s**3/3 + 119134*s**2/3 + 657104*s/3 + 294424 = 0. Calculate s.
-2831, -13, -6, -2
Find i, given that -2*i**2/9 + 1438946*i/9 = 0.
0, 719473
Determine b, given that -27861888253448*b**2/3 - 14929672*b/3 - 2/3 = 0.
-1/3732418
Suppose 4*x**3 + 512*x**2 - 498500*x + 1490784 = 0. Calculate x.
-424, 3, 293
Factor x**3/8 + 179*x**2 + 63434*x.
x*