 given that -6*y**4/13 - 92*y**3/13 + 3368*y**2/13 - 15760*y/13 - 27200/13 = 0.
-34, -4/3, 10
Determine t so that -2*t**3/19 - 5210*t**2/19 + 73362*t/19 + 78570/19 = 0.
-2619, -1, 15
Factor 3*j**3 - 1638*j**2 + 267840*j - 11404800.
3*(j - 240)**2*(j - 66)
Factor o**4 - 991*o**3 + 243024*o**2 + 1240020*o.
o*(o - 498)**2*(o + 5)
Suppose -2*b**5/11 - 2502*b**4/11 + 53150*b**3/11 - 347970*b**2/11 + 709452*b/11 - 412128/11 = 0. Calculate b.
-1272, 1, 2, 9
Suppose -9*i**3/7 + 49992*i**2/7 + 16665*i/7 = 0. What is i?
-1/3, 0, 5555
Factor h**2 + 597270*h + 89182863225.
(h + 298635)**2
Solve -2*a**2/5 - 321024*a/5 - 12882051072/5 = 0 for a.
-80256
Factor m**3 + 129*m**2 + 86*m - 5376.
(m - 6)*(m + 7)*(m + 128)
Suppose l**5/6 + 1459*l**4/6 + 249749*l**3/3 - 12063709*l**2/3 + 46750501*l/6 - 23124041/6 = 0. Calculate l.
-751, 1, 41
Factor 1815*z**4 - 462*z**3 - 285*z**2/4 + 75*z/4.
3*z*(5*z + 1)*(22*z - 5)**2/4
Factor -46*q**3/7 - 36436*q**2/7 - 7216704*q/7 - 627264/7.
-2*(q + 396)**2*(23*q + 2)/7
Suppose 2*p**5 - 393234*p**4 - 1572956*p**3 - 2359444*p**2 - 1572966*p - 393242 = 0. What is p?
-1, 196621
Factor -55*f**2 + 1645*f + 1860.
-5*(f - 31)*(11*f + 12)
Solve m**3/2 - 13419*m**2/2 + 20125*m - 13416 = 0 for m.
1, 2, 13416
Factor 2*f**4/9 - 26*f**3/3 + 116*f**2/3 - 272*f/9.
2*f*(f - 34)*(f - 4)*(f - 1)/9
Suppose 2*w**5/9 + 10*w**4/9 - 86*w**3/9 - 538*w**2/9 - 44*w + 112 = 0. Calculate w.
-6, -4, -3, 1, 7
Suppose -4*y**3 + 1084*y**2 + 68688*y = 0. What is y?
-53, 0, 324
Find h, given that -2*h**5/13 + 250*h**4/13 + 396*h**3 = 0.
-18, 0, 143
Factor l**4 + 50*l**3 - 327*l**2 + 500*l - 224.
(l - 4)*(l - 1)**2*(l + 56)
Find i such that 3*i**3/5 - 14757*i**2/5 + 5901*i - 14751/5 = 0.
1, 4917
Determine b so that -3*b**5/5 + 21*b**4 + 3414*b**3/5 + 6384*b**2/5 = 0.
-19, -2, 0, 56
Solve -6*l**4/5 - 27*l**3 - 294*l**2/5 + 27*l + 60 = 0 for l.
-20, -5/2, -1, 1
Find w such that 80*w**5/7 - 236472*w**4/7 + 1392781*w**3/7 - 1124057*w**2/7 + 315660*w/7 - 29500/7 = 0.
1/4, 2/5, 5, 2950
Solve -5*z**5 - 42*z**4 + 45*z**3 + 146*z**2 - 144*z = 0 for z.
-9, -2, 0, 1, 8/5
Find b, given that 3*b**4 - 9822*b**3 + 312000*b**2 - 2489856*b = 0.
0, 16, 3242
Factor 2*w**3 - 9016*w**2 + 45038*w - 36024.
2*(w - 4503)*(w - 4)*(w - 1)
Factor -3*h**2 + 9543*h + 66948.
-3*(h - 3188)*(h + 7)
Factor -2*a**2/11 + 270968*a - 100957528408.
-2*(a - 745162)**2/11
Factor g**2/4 + 17889*g/4 + 17885.
(g + 4)*(g + 17885)/4
Determine z so that -z**4/4 - 55671*z**3/2 - 27835*z**2 + 55671*z/2 + 111341/4 = 0.
-111341, -1, 1
Factor 5*w**3 - 800*w**2 - 8555*w + 9350.
5*(w - 170)*(w - 1)*(w + 11)
Factor -3*d**2/5 + 153*d/5 + 5082.
-3*(d - 121)*(d + 70)/5
Find m such that m**3 + 15975*m**2 - 127848*m + 255728 = 0.
-15983, 4
Factor j**3/3 - 647*j**2 + 3878*j/3.
j*(j - 1939)*(j - 2)/3
Factor d**3/2 - 59*d**2/2 + 415*d/2 - 357/2.
(d - 51)*(d - 7)*(d - 1)/2
Factor 3*u**2/8 - 140469*u/4 + 6577179987/8.
3*(u - 46823)**2/8
Let 2*h**5/5 + 16*h**4/5 - 118*h**3 + 1076*h**2/5 + 11736*h/5 + 14256/5 = 0. What is h?
-22, -2, 9
Factor -c**2/2 + 1725*c/2 + 6062.
-(c - 1732)*(c + 7)/2
What is n in -5*n**3/6 - 15*n**2/2 + 1000*n/3 = 0?
-25, 0, 16
Determine k so that 2*k**5/13 + 672*k**4/13 + 25198*k**3/13 = 0.
-293, -43, 0
Let 4*y**2 - 204460*y = 0. What is y?
0, 51115
Suppose 3*i**3 - 204*i**2 - 987*i + 181116 = 0. Calculate i.
-27, 43, 52
Find i such that -i**3/10 + 72407*i**2/5 - 57925*i/2 + 72406/5 = 0.
1, 144812
Factor 2*p**2 - 214748*p + 214746.
2*(p - 107373)*(p - 1)
Determine j so that 2*j**4 + 332*j**3 - 80736*j**2 + 160468*j - 80066 = 0.
-301, 1, 133
Determine x so that -2*x**2/9 - 8362*x/9 - 5572/3 = 0.
-4179, -2
What is i in -5*i**3 + 93485*i**2 - 437019000*i + 436925520 = 0?
1, 9348
Determine t so that -2*t**2/11 + 1402*t/11 - 123188/11 = 0.
103, 598
Factor 2*a**2/5 - 482*a/5 - 3864.
2*(a - 276)*(a + 35)/5
Factor 5*t**4 + 15570*t**3 + 12105660*t**2 - 24273640*t.
5*t*(t - 2)*(t + 1558)**2
What is z in 5*z**5 - 7425*z**4 + 2745355*z**3 + 8310465*z**2 - 2745360*z - 8303040 = 0?
-3, -1, 1, 744
Find g such that -2*g**5 - 84*g**4 + 472*g**3 + 84*g**2 - 470*g = 0.
-47, -1, 0, 1, 5
Let -4*b**4 + 904*b**3/3 - 39664*b**2/9 + 23072*b - 363776/9 = 0. Calculate b.
14/3, 8, 58
Factor 2*v**2/5 + 648994*v/5 - 648996/5.
2*(v - 1)*(v + 324498)/5
Determine g, given that -72*g**2/7 - 14762*g/7 - 410/7 = 0.
-205, -1/36
Factor 4*k**2 - 154156*k - 616688.
4*(k - 38543)*(k + 4)
Factor 2*g**3 + 4818*g**2.
2*g**2*(g + 2409)
Solve -3*u**4 - 633*u**3 + 8706*u**2 - 6792*u - 16128 = 0 for u.
-224, -1, 2, 12
Factor 2*i**2/5 - 178*i/5 + 552.
2*(i - 69)*(i - 20)/5
Let -4*u**4 + 5184*u**3 - 2159872*u**2 + 311205888*u - 14415364096 = 0. Calculate u.
112, 536
Factor 3*k**2/7 - 671610*k/7 + 37588332675/7.
3*(k - 111935)**2/7
Solve -2*h**2 - 206632*h - 5337097928 = 0 for h.
-51658
What is z in -40*z**5/11 - 103794*z**4/11 - 89771430*z**3/11 - 25875116950*z**2/11 + 3883287750*z/11 = 0?
-865, 0, 3/20
Factor -5*a**2 + 359130*a - 6448717845.
-5*(a - 35913)**2
Determine a, given that a**4/3 - 1612*a**3/3 + 216007*a**2 + 434166*a = 0.
-2, 0, 807
Find n, given that 2*n**5 - 15380*n**4 + 29506434*n**3 + 237036816*n**2 = 0.
-8, 0, 3849
Factor h**4 + 342*h**3 + 5928*h**2 + 31264*h + 51840.
(h + 4)**2*(h + 10)*(h + 324)
Find m, given that -2*m**3/21 - 1628*m**2/21 - 3854*m/3 + 31880/7 = 0.
-797, -20, 3
Factor 28*p**2 - 39188*p - 16800.
4*(p - 1400)*(7*p + 3)
Factor -q**2/6 + 29*q/6 + 110.
-(q - 44)*(q + 15)/6
Factor 4*k**3 + 7084*k**2 + 7080*k.
4*k*(k + 1)*(k + 1770)
Solve f**4/6 + 73*f**3/6 + 356*f**2/3 - 2882*f + 10176 = 0 for f.
-53, -32, 6
Factor -m**3/3 - 1409*m**2/3 + 377825*m/3 - 7774389.
-(m - 119)**2*(m + 1647)/3
Find u, given that -u**2/2 - 10246*u - 52490258 = 0.
-10246
Let 2*m**4 - 1290*m**3 + 3852*m**2 + 8*m - 5136 = 0. Calculate m.
-1, 2, 642
Factor 66*y**3 + 13930*y**2 + 844*y.
2*y*(y + 211)*(33*y + 2)
Factor -4*t**2 - 808*t - 29568.
-4*(t + 48)*(t + 154)
Solve -2*k**2 - 7604*k - 7227602 = 0.
-1901
Factor -v**2/4 - 35*v/2 + 1275/4.
-(v - 15)*(v + 85)/4
Factor -5*r**4 - 2050*r**3 + 31500*r**2 - 158750*r + 265625.
-5*(r - 5)**3*(r + 425)
Solve -2*b**2/9 - 1342*b/9 + 1348/3 = 0 for b.
-674, 3
Factor -2*o**2/3 - 143588*o/3.
-2*o*(o + 71794)/3
Solve 4*b**3 + 4*b**2 - 40*b + 32 = 0 for b.
-4, 1, 2
Let 4*y**5 + 52*y**4 + 124*y**3 - 324*y**2 - 1440*y - 1296 = 0. Calculate y.
-9, -3, -2, 3
Solve 5*u**3 + 37775*u**2 - 3276385*u + 70641045 = 0.
-7641, 43
Let -2*f**5/13 - 20*f**4/13 + 22*f**3/13 + 184*f**2/13 - 344*f/13 + 160/13 = 0. Calculate f.
-10, -4, 1, 2
Factor 3*p**2 - 49471*p/2 - 20615.
(p - 8246)*(6*p + 5)/2
What is z in z**4/5 + 443839*z**3/5 + 49248486397*z**2/5 + 9849430977*z - 98496085122/5 = 0?
-221919, -2, 1
Determine a so that a**4 - 12244*a**3 + 38350084*a**2 - 5333486400*a + 189747360000 = 0.
72, 6050
Solve -5*l**2/2 - 290*l - 4815/2 = 0 for l.
-107, -9
Factor -q**2/5 + 208372*q/5 + 416748/5.
-(q - 208374)*(q + 2)/5
Suppose -r**4 + 158*r**3 + 837*r**2 - 3530*r - 9128 = 0. Calculate r.
-7, -2, 4, 163
Let -3*k**2/7 - 47322*k/7 + 121824 = 0. Calculate k.
-15792, 18
Solve 5*i**3 - 65*i**2 + 280*i - 400 = 0.
4, 5
Solve 4*n**5 - 196*n**4 + 1676*n**3 - 4556*n**2 + 1056*n + 7488 = 0 for n.
-1, 3, 4, 39
Find p such that -9*p**5/4 - 744*p**4 - 60228*p**3 + 429873*p**2/2 + 1934361*p/4 + 418335/2 = 0.
-167, -1, -2/3, 5
Factor -l**2/4 + 1042193*l/4.
-l*(l - 1042193)/4
Find s, given that -2*s**3 - 1262*s**2 - 3660*s + 67824 = 0.
-628, -9, 6
Determine x so that -5*x**4/2 - 375*x**3/2 + 5355*x**2/2 + 11815*x/2 + 3045 = 0.
-87, -1, 14
Determine o, given that 2*o**3/5 - 114*o**2/5 - 2792*o/5 - 7296/5 = 0.
-16, -3, 76
Factor -5*y**3 - 15520*y**2 + 202675*y + 218190.
-5*(y - 14)*(y + 1)*(y + 3117)
Solve -2*f**4 + 654*f**3 - 53778*f**2 + 49226*f + 318828 = 0.
-2, 3, 163
Solve -y**2 + 636*y - 16443 = 0 for y.
27, 609
Let r**4/4 + 8775*r**3/4 + 183981*r**2/4 + 1287181*r/4 + 1501311/2 = 0. What is r?
-8754, -7
Factor 8*h**3/13 + 214368*h**2/13 + 214362*h/13 + 53590/13.
2*(h + 26795)*(2*h + 1)**2/13
Factor 5*t**2 - 67405*t - 337150.
5*(t - 13486)*(t + 5)
Let -2*d**3 - 426*d**2 - 29646*d - 669222 = 0. Calculate d.
-81, -51
Factor -2*j**4 - 1422*j**3 + 5744*j**2 + 17160*j.
-2*j*(j - 6)*(j + 2)*(j + 715)
Solve 3*a**4/5 + 393*a**3/5 + 1590*a**2 = 0 for a.
-106,