4043*l**3/6 + 1347*l**2/2 - 1345*l/6 - 1/6 = 0 for l.
-1/1348, 1
Let v**2 - 85731*v + 171458 = 0. What is v?
2, 85729
Find v such that -72*v**3 - 12524*v**2 + 13296*v - 700 = 0.
-175, 1/18, 1
Determine r, given that r**4/3 - 17*r**3 - 611*r**2/3 + 17*r + 610/3 = 0.
-10, -1, 1, 61
Factor 2*j**2/7 - 4804*j/7 + 62114/7.
2*(j - 2389)*(j - 13)/7
Factor 2*u**3/19 + 324*u**2/19 + 15330*u/19 + 225400/19.
2*(u + 35)**2*(u + 92)/19
Solve 3*w**4/7 - 195*w**3/7 - 3411*w**2/7 - 2139*w - 1680 = 0 for w.
-7, -1, 80
Determine v so that 2*v**5 + 210*v**4 - 2602*v**3 - 5826*v**2 - 3016*v = 0.
-116, -1, 0, 13
Factor 21*l**2/8 - 274245*l/8 + 39177/4.
3*(l - 13059)*(7*l - 2)/8
Let r**2/2 + 436*r - 106929/2 = 0. Calculate r.
-981, 109
Let -2*n**4/7 - 48982*n**3/7 - 57136332*n**2 - 155639251768*n - 776768725040 = 0. Calculate n.
-8162, -5
Solve 4*k**2 - 120644*k - 603320 = 0 for k.
-5, 30166
Solve -4*r**3/5 - 624*r**2 + 25168*r/5 - 37824/5 = 0 for r.
-788, 2, 6
Factor 3*n**2 + 28020*n + 28017.
3*(n + 1)*(n + 9339)
Suppose -p**2/4 - 31*p + 21840 = 0. Calculate p.
-364, 240
Determine m, given that -2*m**3/21 + 59084*m**2/21 - 20784906*m + 581662296/7 = 0.
4, 14769
Let 2*u**5 - 128*u**4 - 1704*u**3 + 4028*u**2 + 1702*u - 3900 = 0. Calculate u.
-13, -1, 1, 2, 75
Let -938*z**2 - 1502*z/11 - 4/11 = 0. What is z?
-1/7, -2/737
Find u, given that -18*u**5/5 + 100292*u**4/5 - 27958060*u**3 + 248254896*u**2/5 - 15507994*u - 6204980 = 0.
-2/9, 1, 2785
Determine t, given that t**2 + 275*t - 71394 = 0.
-438, 163
Factor -5*v**3 - 6125*v**2 + 663765*v - 17257635.
-5*(v - 51)**2*(v + 1327)
Find y such that -2*y**5 + 246*y**3 + 484*y**2 + 240*y = 0.
-10, -1, 0, 12
Factor -p**4/11 - 3391*p**3/11 + 27176*p**2/11 - 4944*p.
-p*(p - 4)**2*(p + 3399)/11
Solve -3*j**3/7 - 30285*j**2/7 - 634596*j/7 + 664884/7 = 0.
-10074, -22, 1
Find h, given that -h**4 - 20*h**3 + 19*h**2 + 1046*h + 1008 = 0.
-18, -8, -1, 7
Find y such that -y**4/3 + 4574*y**3/3 + 27469*y**2/3 + 50374*y/3 + 9160 = 0.
-3, -2, -1, 4580
Determine f, given that -f**4/4 + 59*f**3/4 + 121*f**2/4 + 61*f/4 = 0.
-1, 0, 61
Factor z**2 + 203268*z + 10329469956.
(z + 101634)**2
Factor 2*d**2/3 - 7600*d/3 + 478208/3.
2*(d - 3736)*(d - 64)/3
Factor 2*o**2/15 + 88604*o/15 - 17722.
2*(o - 3)*(o + 44305)/15
Find w such that -3*w**3/5 + 48*w**2/5 + 708*w/5 + 1872/5 = 0.
-6, -4, 26
Find j such that j**3/2 + 602*j**2 + 179992*j - 729632 = 0.
-604, 4
Factor 5*f**2 - 95140*f - 380640.
5*(f - 19032)*(f + 4)
What is u in -26*u**3/11 + 354*u**2/11 - 526*u/11 - 906/11 = 0?
-1, 3, 151/13
Find q such that 2*q**3 - 8938*q**2 + 10650640*q - 1459577504 = 0.
157, 2156
Factor 2*k**2/23 - 213674*k/23.
2*k*(k - 106837)/23
Let 3*k**2/5 - 684*k/5 - 687/5 = 0. What is k?
-1, 229
Solve -8*y**5 + 514*y**4 - 2072*y**3 + 1926*y**2 - 360*y = 0 for y.
0, 1/4, 1, 3, 60
Let 3*w**4/4 + 33*w**3/2 + 33*w**2/4 - 1563*w/2 - 2394 = 0. What is w?
-19, -6, -4, 7
Factor 2*m**4 + 248*m**3 + 7098*m**2 - 14948*m + 7600.
2*(m - 1)**2*(m + 50)*(m + 76)
Solve -2*i**2/7 - 13394*i/7 - 13392/7 = 0.
-6696, -1
Let -4*c**3 + 56*c**2 + 276*c - 1224 = 0. What is c?
-6, 3, 17
Factor a**5 - 509*a**4 - 4112*a**3 - 12376*a**2 - 16528*a - 8272.
(a - 517)*(a + 2)**4
Factor 4*p**3 + 435024*p**2 + 11828302548*p + 23654865032.
4*(p + 2)*(p + 54377)**2
Solve -5*c**2 + 29320*c + 58660 = 0 for c.
-2, 5866
Solve 6*x**4 + 530*x**3 + 3088*x**2 - 2296*x = 0.
-82, -7, 0, 2/3
Solve 3*s**5/4 - 129*s**4/2 - 5607*s**3 - 60099*s**2/2 + 308697*s/4 - 41454 = 0.
-49, -8, 1, 141
Let -4*m**5 + 292*m**4 - 6248*m**3 + 33416*m**2 - 49236*m + 21780 = 0. What is m?
1, 5, 33
Factor c**3/7 - 1606*c**2/7 + 657465*c/7 - 10112400/7.
(c - 795)**2*(c - 16)/7
Find u such that 4*u**4/3 + 5292*u**3 - 175088*u**2/3 + 42480*u + 318400/3 = 0.
-3980, -1, 2, 10
What is l in l**2/4 + 1807*l/4 + 39445 = 0?
-1715, -92
Let m**2/6 - 32180*m/3 + 517776200/3 = 0. Calculate m.
32180
Factor 4225*u**3/3 + 14960*u**2/3 + 4263*u - 270.
(5*u + 9)**2*(169*u - 10)/3
Factor -u**2/8 + 55*u/4 + 2751/8.
-(u - 131)*(u + 21)/8
What is s in s**4/3 - 6543*s**3 + 32104865*s**2 + 96334225*s/3 = 0?
-1, 0, 9815
Find t such that -4*t**5/9 + 15178*t**4/9 + 68360*t**3/9 + 83578*t**2/9 + 8*t/9 - 30392/9 = 0.
-2, -1, 1/2, 3799
Let -2*k**2/5 - 196436*k/5 - 4823387762/5 = 0. Calculate k.
-49109
Factor -46*a**3 + 83719*a**2/5 - 7618156*a/5 - 33124/5.
-(a - 182)**2*(230*a + 1)/5
Factor 2*b**3/5 + 274*b**2/5 + 2558*b/5 + 2286/5.
2*(b + 1)*(b + 9)*(b + 127)/5
What is z in -2*z**2/11 + 3902*z/11 + 90804/11 = 0?
-23, 1974
What is y in 3*y**2/4 - 7965*y + 21147075 = 0?
5310
Solve 2*q**5 + 140*q**4 - 500*q**3 - 4520*q**2 + 690*q + 18396 = 0.
-73, -3, 2, 7
What is a in -1458756098*a**3/3 + 2916864028*a**2/3 + 432088*a + 48 = 0?
-6/27007, 2
Factor 3*k**4 + 21*k**3 - 792*k**2 - 7344*k.
3*k*(k - 17)*(k + 12)**2
Find t, given that 2*t**2 + 73415*t/2 - 9177 = 0.
-18354, 1/4
Let 2*n**5/3 - 422*n**4 + 40220*n**3/3 - 124584*n**2 + 1052720*n/3 - 304000 = 0. Calculate n.
2, 10, 19, 600
What is l in -2*l**4 - 198*l**3 + 2122*l**2 - 6282*l + 4360 = 0?
-109, 1, 4, 5
Factor 2*v**4 - 150*v**3 + 3162*v**2 - 23738*v + 46644.
2*(v - 46)*(v - 13)**2*(v - 3)
Let i**3 + 432*i**2 + 58941*i + 2587410 = 0. Calculate i.
-210, -111
Determine k so that -2*k**3 - 1140*k**2 - 17758*k - 16620 = 0.
-554, -15, -1
Let -5*w**3 - 136630*w**2 - 931746125*w + 22440675000 = 0. What is w?
-13675, 24
Solve n**2/3 + 1258*n/3 + 54439 = 0 for n.
-1111, -147
Suppose j**2/2 - 50*j + 282 = 0. Calculate j.
6, 94
Let -4*r**5 - 172*r**4 + 1820*r**3 - 2740*r**2 - 1816*r + 2912 = 0. What is r?
-52, -1, 1, 2, 7
Determine n, given that -5*n**2 - 299910*n - 299905 = 0.
-59981, -1
Let 4*g**2 - 4952*g - 687456 = 0. What is g?
-126, 1364
Find b such that 71*b**2/5 - 406613*b/5 - 22908/5 = 0.
-4/71, 5727
Solve -i**2/2 + 5358*i + 53630 = 0 for i.
-10, 10726
Find v such that 2*v**4/15 - 3592*v**3/5 + 6452*v**2 + 225896*v/15 + 39446/5 = 0.
-1, 11, 5379
Factor 11*d**3 - 372*d**2 + 2011*d + 378.
(d - 27)*(d - 7)*(11*d + 2)
What is u in -6591*u**5/7 - 661635*u**4/7 - 19851234*u**3/7 - 88673076*u**2/7 + 2665106712*u/7 - 2555914176/7 = 0?
-474/13, 1, 8
Determine n, given that 153*n**4 - 19896*n**3 - 60267*n**2 + 2394*n = 0.
-3, 0, 2/51, 133
Find i such that 3*i**5 - 3354*i**4 - 3*i**3 + 3354*i**2 = 0.
-1, 0, 1, 1118
Factor 2*t**2/7 + 1045452*t/7 - 1045454/7.
2*(t - 1)*(t + 522727)/7
Suppose -3*m**5/2 - 813*m**4/8 - 1674*m**3 - 9393*m**2/8 + 1599*m/4 = 0. Calculate m.
-41, -26, -1, 0, 1/4
Factor 3*v**3/5 - 5238*v**2/5 + 62532*v/5 - 187272/5.
3*(v - 1734)*(v - 6)**2/5
Factor 4*p**5/5 + 2816*p**4/5 + 492792*p**3/5 - 994048*p**2/5 + 498436*p/5.
4*p*(p - 1)**2*(p + 353)**2/5
What is x in -x**4 + 622*x**3 + 5041*x**2 - 622*x - 5040 = 0?
-8, -1, 1, 630
Factor -x**2/3 + 8822*x - 291005/3.
-(x - 26455)*(x - 11)/3
Find b, given that 3*b**5 - 11370*b**4 + 68139*b**3 - 102168*b**2 = 0.
0, 3, 3784
Solve 5*x**3 - 1510*x**2 - 48675*x - 373500 = 0.
-15, 332
Factor -n**4 - 8552*n**3 - 17092*n**2 + 68400*n.
-n*(n - 2)*(n + 4)*(n + 8550)
Solve -3*u**4 + 687*u**3 + 46386*u**2 + 718368*u + 672672 = 0 for u.
-28, -1, 286
Solve 9*i**5 + 1910*i**4 + 415*i**3 - 1910*i**2 - 424*i = 0 for i.
-212, -1, -2/9, 0, 1
Let -2*f**4/3 + 14*f**3/3 + 478*f**2 - 4382*f/3 - 5800/3 = 0. What is f?
-25, -1, 4, 29
Suppose -21*b**4 - 195*b**3 + 7716*b**2 - 37092*b - 11232 = 0. Calculate b.
-26, -2/7, 8, 9
Factor 4*g**3/9 + 12112*g**2/9 + 24188*g/3 + 12088.
4*(g + 3)**2*(g + 3022)/9
Factor 2*r**3/19 + 1628952*r**2/19 - 3257910*r/19 + 1628956/19.
2*(r - 1)**2*(r + 814478)/19
Factor m**2/4 + 64209*m/4 + 16052.
(m + 1)*(m + 64208)/4
Suppose -2*c**5/5 + 624*c**4/5 - 1242*c**3/5 + 124*c**2 = 0. What is c?
0, 1, 310
Solve -1857769*v**3 - 202491369*v**2 + 594264*v - 436 = 0.
-109, 2/1363
Factor -d**4 + 15*d**3 + 201*d**2 + 353*d + 168.
-(d - 24)*(d + 1)**2*(d + 7)
Factor 2*s**3 + 35268*s**2 - 529442*s + 494172.
2*(s - 14)*(s - 1)*(s + 17649)
Determine f so that -3*f**5/4 - 55197*f**4/4 + 27609*f**3/2 + 82800*f**2 = 0.
-18400, -2, 0, 3
Factor 5*o**2/3 - 22300*o + 534880/3.
5*(o - 13372)*(o - 8)/3
Find f such that -20*f**2 - 61896*f/5 + 2476/5 = 0.
-619, 1/25
Factor y**4/2 - 187*y**3 - 1135*y**2/2 + 754*y.
y*(y - 377)*(y - 1)*(y + 4)/2
Factor -31*n**3 - 5706*n**2 + 11164*n + 744.
-(n - 2)*(n 