 0.
-35, 1, 4, 8
Suppose -6*l**4 + 538*l**3 - 7280*l**2 - 124024*l + 85760 = 0. Calculate l.
-10, 2/3, 32, 67
Factor -i**2/4 - 8995*i/4 - 4497/2.
-(i + 1)*(i + 8994)/4
Factor -10*z**2/3 - 9176*z/3 + 1224.
-2*(z + 918)*(5*z - 2)/3
Factor -j**3/2 - 3338*j**2 - 93042*j + 199440.
-(j - 2)*(j + 30)*(j + 6648)/2
Factor -5*s**2 + 56195*s.
-5*s*(s - 11239)
What is o in o**2/3 - 38*o = 0?
0, 114
Suppose -n**5 - 307*n**4 - 2696*n**3 - 4172*n**2 = 0. Calculate n.
-298, -7, -2, 0
Suppose o**2/2 - 1361*o = 0. Calculate o.
0, 2722
Suppose 16*v**5 + 676*v**4 + 5112*v**3 - 4396*v**2 - 1408*v = 0. Calculate v.
-32, -11, -1/4, 0, 1
Factor -2*b**4/11 - 76*b**3/11 - 960*b**2/11 - 4032*b/11.
-2*b*(b + 12)**2*(b + 14)/11
Factor -a**2/5 - 719*a/5 - 572.
-(a + 4)*(a + 715)/5
Factor r**2 - 1223*r + 297480.
(r - 888)*(r - 335)
Factor -4*o**2/3 - 28584*o - 1114100/3.
-4*(o + 13)*(o + 21425)/3
Factor -98*w**2 + 102004*w - 26542898.
-2*(7*w - 3643)**2
Factor -2*g**2 + 53454*g + 374276.
-2*(g - 26734)*(g + 7)
Factor 4*r**3/7 - 8376*r**2/7 + 4376448*r/7 + 8786432/7.
4*(r - 1048)**2*(r + 2)/7
Find u such that 3*u**2 - 56298*u + 56295 = 0.
1, 18765
Suppose -z**2 - 260*z - 6084 = 0. What is z?
-234, -26
Find g, given that -g**4/6 - 5780*g**3 + 17341*g**2 - 52024*g/3 + 11561/2 = 0.
-34683, 1
Factor -3*j**2/4 - 1215*j/2 - 466683/4.
-3*(j + 313)*(j + 497)/4
Determine r so that 36*r**4/7 + 80368*r**3/7 - 967872*r**2/7 + 553728*r - 5171200/7 = 0.
-20200/9, 4
Factor 4*q**2/7 + 5634*q/7 - 8460/7.
2*(q + 1410)*(2*q - 3)/7
Determine r, given that 2645*r**2 - 262660*r + 6520820 = 0.
1142/23
Solve -24*b**3/5 + 651*b**2/5 + 3759*b/5 - 96 = 0 for b.
-5, 1/8, 32
Factor 2*p**3 + 24*p**2 - 800*p + 2688.
2*(p - 12)*(p - 4)*(p + 28)
Factor 5*t**4 + 365*t**3 + 1065*t**2 + 1055*t + 350.
5*(t + 1)**3*(t + 70)
Find h such that 2*h**3/9 - 856*h**2/9 + 100040*h/9 - 1183424/3 = 0.
82, 264
What is h in 5*h**4 + 835*h**3 + 1655*h**2 + 825*h = 0?
-165, -1, 0
Find z, given that z**3/4 + 101*z**2/2 - 1470*z + 2736 = 0.
-228, 2, 24
Factor 2*w**2/5 - 103364*w/5 + 1335514562/5.
2*(w - 25841)**2/5
Factor 168657241041*g**2 + 1642716*g + 4.
(410679*g + 2)**2
Factor -32*h**3 + 484*h**2 + 993*h + 459.
-(h - 17)*(4*h + 3)*(8*h + 9)
Factor -l**4/6 + 103*l**3/6 + 500*l**2/3 + 448*l/3.
-l*(l - 112)*(l + 1)*(l + 8)/6
Solve -4*x**2 - 5796*x + 11608 = 0 for x.
-1451, 2
Factor 23*b**2 - 2504*b.
b*(23*b - 2504)
Let 453*s**3 - 8166*s**2 + 216*s = 0. Calculate s.
0, 4/151, 18
Let -w**4/5 - 51*w**3/5 - 378*w**2/5 = 0. What is w?
-42, -9, 0
Solve -i**5 - 84*i**4 - 387*i**3 + 644*i**2 + 948*i = 0 for i.
-79, -6, -1, 0, 2
Suppose -30*c**4 - 2824*c**3 - 50026*c**2 - 53480*c - 6248 = 0. Calculate c.
-71, -22, -1, -2/15
What is w in -4861587*w**2 + 56012*w - 484/3 = 0?
22/3819
Let -3*q**5 + 10107*q**4 + 141990*q**3 + 324810*q**2 - 141987*q - 334917 = 0. Calculate q.
-11, -3, -1, 1, 3383
Factor v**3/6 - 185*v**2/6 - 3233*v/6 + 1139/2.
(v - 201)*(v - 1)*(v + 17)/6
Let 2*m**5/3 + 16220*m**4/3 + 32869826*m**3/3 - 21929440*m**2 + 10967424*m = 0. Calculate m.
-4056, 0, 1
Let n**2/7 + 447602*n/7 + 50086887601/7 = 0. Calculate n.
-223801
Let -3*p**3/4 + 68*p**2 - 963*p/4 + 261/2 = 0. Calculate p.
2/3, 3, 87
Suppose 5*z**5 + 35360*z**4 - 15*z**3 - 106090*z**2 - 70720*z = 0. Calculate z.
-7072, -1, 0, 2
Suppose 12*f**4 + 291*f**3 - 537*f**2 + 234*f = 0. What is f?
-26, 0, 3/4, 1
Factor -3*w**2 + 10029*w.
-3*w*(w - 3343)
Solve 5*v**4 + 505*v**3 + 1955*v**2 + 1455*v = 0.
-97, -3, -1, 0
Suppose 2*o**4/17 - 11836*o**3 + 297693154*o**2 = 0. What is o?
0, 50303
Solve 992*f**2 + 286*f - 105 = 0 for f.
-1/2, 105/496
Factor 5*m**3 - 4355*m**2 + 51720*m - 154620.
5*(m - 859)*(m - 6)**2
What is m in -2*m**5/9 - 1850*m**4/9 + 3116*m**3/3 + 4960*m**2 = 0?
-930, -3, 0, 8
Let 4*t**3/3 - 819*t**2 + 204554*t/3 - 16995 = 0. Calculate t.
1/4, 99, 515
Factor 2*h**2/7 + 653572*h/7 + 53394544898/7.
2*(h + 163393)**2/7
Suppose -2*v**4/7 - 4134*v**3/7 - 1770*v**2 - 12386*v/7 - 4128/7 = 0. What is v?
-2064, -1
Factor j**2 - 61*j - 4040.
(j - 101)*(j + 40)
Find x, given that x**4/7 - 86*x**3/7 - 1231*x**2/7 - 5464*x/7 - 7920/7 = 0.
-5, -4, 99
Factor -6*u**3 - 759*u**2 - 1866*u - 744.
-3*(u + 2)*(u + 124)*(2*u + 1)
Determine g so that 30*g**5/19 - 4*g**4/19 - 510*g**3/19 + 68*g**2/19 + 480*g/19 - 64/19 = 0.
-4, -1, 2/15, 1, 4
Factor -2*g**4 - 154*g**3 + 166*g**2 + 786*g + 468.
-2*(g - 3)*(g + 1)**2*(g + 78)
Factor -j**2/4 + 9151*j/4 + 9153/2.
-(j - 9153)*(j + 2)/4
Factor -4*l**2 - 320840*l - 6433644100.
-4*(l + 40105)**2
Factor 5*n**4 - 140*n**3 - 365295*n**2 - 34790490*n.
5*n*(n - 322)*(n + 147)**2
Suppose -4*f**5/3 - 776*f**4/3 - 1756*f**3 - 5920*f**2/3 + 11968*f/3 = 0. What is f?
-187, -4, 0, 1
What is b in -8*b**5/9 - 10*b**4 - 214*b**3/9 + 80*b**2/3 + 8*b = 0?
-6, -1/4, 0, 1
Find w, given that w**4 - 3*w**3/4 - 279*w**2/4 + 763*w/4 + 1035/4 = 0.
-9, -1, 5, 23/4
Solve -5*v**2 - 690*v + 198800 = 0 for v.
-280, 142
Solve -3*i**5 - 339*i**4 - 9477*i**3 - 92757*i**2 - 261024*i - 177408 = 0.
-77, -16, -3, -1
Factor 3*b**3/4 - 1209*b**2/2 - 24405*b/4 - 15300.
3*(b - 816)*(b + 5)**2/4
Factor 2*l**2/5 - 78*l/5 - 16.
2*(l - 40)*(l + 1)/5
What is s in -s**3/6 - 115*s**2/2 + 2500*s - 77000/3 = 0?
-385, 20
Factor p**5/4 - 533*p**4/4 + 5787*p**3/4 - 23571*p**2/4 + 10584*p - 7047.
(p - 522)*(p - 3)**3*(p - 2)/4
Factor 2*l**2 - 11344*l + 124542.
2*(l - 5661)*(l - 11)
Let -r**5/2 - 45*r**4/2 - 479*r**3/2 + 525*r**2/2 = 0. What is r?
-25, -21, 0, 1
Factor -4*u**2 - 3968*u + 32000.
-4*(u - 8)*(u + 1000)
Suppose 3*x**3 + 642*x**2 - 3357*x - 15768 = 0. What is x?
-219, -3, 8
Solve k**4/2 - 9187*k**3 + 45926*k**2 - 64293*k + 55107/2 = 0 for k.
1, 3, 18369
Let 4*m**4 - 208*m**3 + 2804*m**2 - 5000*m + 2400 = 0. Calculate m.
1, 20, 30
Let 2*y**4/13 + 396*y**3/13 + 1222*y**2 - 3564*y/13 - 143136/13 = 0. What is y?
-142, -56, -3, 3
Suppose 2*t**2 + 7872*t + 15736 = 0. Calculate t.
-3934, -2
Suppose y**5/8 + 17*y**4/4 - 429*y**3/8 - 8071*y**2/4 + 2156*y + 4116 = 0. Calculate y.
-28, -1, 2, 21
Factor 4*t**3/3 + 468*t**2 - 29536*t/3 + 17808.
4*(t - 18)*(t - 2)*(t + 371)/3
Solve -100*u**4 - 4104*u**3 + 8736*u**2 + 13256*u + 516 = 0.
-43, -1, -1/25, 3
Let t**2 - 257*t - 88788 = 0. Calculate t.
-196, 453
Find c, given that -15*c**4 + 4205*c**3 - 238520*c**2 - 8238400*c + 2772480 = 0.
-24, 1/3, 152
Factor g**3/2 + 230*g**2 - 20225*g/2 - 56250.
(g - 45)*(g + 5)*(g + 500)/2
Factor 4*i**3 + 435736*i**2 + 2614308*i + 3921408.
4*(i + 3)**2*(i + 108928)
Solve -3*z**5 + 303*z**4 - 5724*z**3 - 101964*z**2 - 57792*z + 564480 = 0.
-10, -3, 2, 56
What is v in v**3 - 6137*v**2 + 9400331*v + 47155205 = 0?
-5, 3071
Factor -3*o**3/4 - 11435*o**2 - 7623*o.
-o*(o + 15246)*(3*o + 2)/4
Factor 2*s**3 - 266*s**2 + 526*s - 262.
2*(s - 131)*(s - 1)**2
Determine w so that 2*w**5/3 + 632*w**4/3 - 28024*w**3/3 - 118996*w**2/3 - 151402*w/3 - 61060/3 = 0.
-355, -2, -1, 43
Suppose -805*w**4 + 59520*w**3 - 96385*w**2 + 17430*w + 20240 = 0. Calculate w.
-8/23, 1, 506/7
Solve -5*t**3 - 4675*t**2 - 13990*t - 9320 = 0.
-932, -2, -1
Factor 3*o**4 - 129*o**3 + 582*o**2 - 456*o.
3*o*(o - 38)*(o - 4)*(o - 1)
Suppose -15376*m**3/7 - 94884800*m**2/7 + 3060812*m/7 - 24684/7 = 0. What is m?
-6171, 1/62
Find f, given that 3*f**3 - 2181*f**2 - 10998*f + 13176 = 0.
-6, 1, 732
Factor 2*j**4 - 16030*j**3 + 32046*j**2 + 48078*j.
2*j*(j - 8013)*(j - 3)*(j + 1)
Find k, given that 50*k**5/7 - 1016320*k**4/7 - 522754*k**3 - 2480332*k**2/7 + 1463768*k/7 - 162640/7 = 0.
-2, 1/5, 20330
Suppose -3*c**3 - 43083*c**2 - 154700280*c - 154657200 = 0. What is c?
-7180, -1
Factor -3*o**2/2 - 876*o - 15282.
-3*(o + 18)*(o + 566)/2
Solve -14*w**5/19 + 184*w**4/19 - 600*w**3/19 + 740*w**2/19 - 346*w/19 + 36/19 = 0 for w.
1/7, 1, 2, 9
Factor -j**3/4 - 28589*j**2/2 + 343095*j/4 - 128664.
-(j - 3)**2*(j + 57184)/4
Factor -3*g**2 - 121086*g - 1221818283.
-3*(g + 20181)**2
Solve -3*r**4 + 663*r**3 - 657*r**2 - 4668867*r - 4667544 = 0 for r.
-72, -1, 147
Factor f**2/3 + 1705*f/3 - 5142.
(f - 9)*(f + 1714)/3
Factor 5*q**4 + 823265*q**3 - 17290035*q**2 + 121033675*q - 282415910.
5*(q - 7)**3*(q + 164674)
Factor -2*f**3 - 88*f**2 + 2394*f.
-2*f*(f - 19)*(f + 63)
Factor -5*d**3/4 - 330625*d**2/4 - 661235*d/4 - 330615/4.
-5*(d + 1)**2*(d + 66123)/4
Factor 17400*i**3/