- 71)*(a + 1)/4
Factor 2*c**2 - 19480*c - 38968.
2*(c - 9742)*(c + 2)
Find c, given that -3*c**3 - 1590*c**2 - 3171*c - 1584 = 0.
-528, -1
Factor -3*w**3 + 10215*w**2 - 10206*w - 20424.
-3*(w - 3404)*(w - 2)*(w + 1)
Factor 24500*q**4 - 19011300*q**3 + 3687784805*q**2 + 105376920*q + 752720.
5*(q - 388)**2*(70*q + 1)**2
Let -q**2 + 1123*q - 96726 = 0. Calculate q.
94, 1029
Solve 50*m**3/3 - 2030*m**2/3 - 818*m/3 - 82/3 = 0 for m.
-1/5, 41
Factor 3*u**3 - 60*u**2 + 51*u + 114.
3*(u - 19)*(u - 2)*(u + 1)
Factor -a**3/4 - 81*a**2/4 + 5469*a/2 + 5548.
-(a - 73)*(a + 2)*(a + 152)/4
Factor y**3 + 88*y**2 + 219*y - 9828.
(y - 9)*(y + 13)*(y + 84)
Factor -j**3 - 310*j**2 - 7125*j.
-j*(j + 25)*(j + 285)
Determine i, given that 305*i**3/9 - 76046*i**2/3 - 25549*i - 1498/9 = 0.
-1, -2/305, 749
Let v**2 - 178*v + 352 = 0. Calculate v.
2, 176
Determine a, given that -21*a**4 + 68664*a**3 - 60011505*a**2 + 6234023250*a + 1786050000 = 0.
-2/7, 120, 1575
Find t such that 4*t**3 + 980*t**2 + 58748*t + 57772 = 0.
-143, -101, -1
Factor m**4 - 5*m**3 - 8*m**2 + 48*m.
m*(m - 4)**2*(m + 3)
Let 5*i**4 - 765*i**3 + 2250*i**2 = 0. What is i?
0, 3, 150
Factor 2*q**3/5 + 894*q**2/5 + 3552*q/5 + 3544/5.
2*(q + 2)**2*(q + 443)/5
Factor -o**3/3 - 230*o**2/3 + 21517*o/3 + 43946/3.
-(o - 73)*(o + 2)*(o + 301)/3
Let 128*c**5/9 - 10720*c**4 - 24254*c**3/9 + 94972*c**2/9 + 8042*c/3 + 1508/9 = 0. What is c?
-1, -1/8, 1, 754
Factor 3*x**3/4 + 1599*x**2/4 - 402*x - 801.
3*(x - 2)*(x + 1)*(x + 534)/4
Factor -u**2/5 + 143*u/5.
-u*(u - 143)/5
Solve -p**5 - 123*p**4 - 4233*p**3 - 28549*p**2 - 63966*p - 39528 = 0 for p.
-61, -54, -4, -3, -1
Factor 2*y**3/9 + 38*y**2/9 - 172*y/9 - 1360/3.
2*(y - 10)*(y + 12)*(y + 17)/9
Factor -5*c**3 + 730*c**2 + 3845*c - 10570.
-5*(c - 151)*(c - 2)*(c + 7)
Factor 118*c**4 - 468*c**3 + 338*c**2 + 12*c.
2*c*(c - 3)*(c - 1)*(59*c + 2)
Factor 4*m**3/7 - 353244*m**2/7 + 706404*m - 2472316.
4*(m - 88297)*(m - 7)**2/7
Solve -26*g**3/5 - 3902*g**2/5 + 4032*g = 0.
-2016/13, 0, 5
Factor -q**3/3 - 188*q**2/3 - 736*q/3.
-q*(q + 4)*(q + 184)/3
Let 53*a**5/8 - 3871*a**4/8 - 25029*a**3/8 + 4819*a**2/8 + 3122*a - 237/2 = 0. What is a?
-6, -1, 2/53, 1, 79
Factor 3*g**2/2 + 48129*g + 772133547/2.
3*(g + 16043)**2/2
Determine j so that -3*j**2 - 71145*j - 426762 = 0.
-23709, -6
Determine z, given that z**5/5 + 3194*z**4/5 + 679896*z**3 + 240909390*z**2 - 241589925*z = 0.
-1065, 0, 1
Suppose -u**2 + 958*u - 8541 = 0. What is u?
9, 949
Solve -4*j**2 - 307680*j - 5916686400 = 0 for j.
-38460
Factor 2*k**4/5 + 1018*k**3/5 + 130048*k**2/5 + 129032*k/5.
2*k*(k + 1)*(k + 254)**2/5
Suppose -720*r**4 + 475*r**3 + 965*r**2 - 230*r = 0. Calculate r.
-1, 0, 2/9, 23/16
Solve 5*s**3 + 30925*s**2 + 985760*s + 7875840 = 0 for s.
-6153, -16
Factor -5*v**3 - 175*v**2 + 5990*v + 6160.
-5*(v - 22)*(v + 1)*(v + 56)
Let k**5/5 - 3*k**4 - k**3 + 99*k**2 + 4*k/5 - 96 = 0. Calculate k.
-5, -1, 1, 8, 12
What is k in 2943*k**4 - 47090*k**3 + 73607*k**2 + 123556*k - 84 = 0?
-1, 2/2943, 3, 14
Factor 2*q**2/5 - 3978*q - 1019592/5.
2*(q - 9996)*(q + 51)/5
Let 196*w**5 + 868*w**4 - 22692*w**3 - 10196*w**2 + 11296*w - 1872 = 0. Calculate w.
-13, -1, 2/7, 9
Factor -t**3/3 - 1102*t**2/3 + 22421*t/3 - 7106.
-(t - 19)*(t - 1)*(t + 1122)/3
Factor 3*y**3 + 4737*y**2 + 23628*y + 28332.
3*(y + 2)*(y + 3)*(y + 1574)
Factor -5*a**2 - 480*a + 145125.
-5*(a - 129)*(a + 225)
Determine t, given that -2*t**2/7 + 6434*t/7 + 260560/7 = 0.
-40, 3257
Solve y**4/2 - 2113*y**3/2 - 8474*y**2 - 21202*y - 16968 = 0.
-4, -2, 2121
Solve 5*h**2/6 - 508180*h/3 + 25824691240/3 = 0 for h.
101636
Factor u**4/3 + 3134*u**3/3 + 1123320*u**2 + 1337532064*u/3 + 101570505344/3.
(u + 98)*(u + 1012)**3/3
Suppose q**3/2 - 51*q**2 - 11869*q/2 + 5985 = 0. Calculate q.
-70, 1, 171
Factor 3*h**3 - 40854*h**2 + 139128288*h - 278093184.
3*(h - 6808)**2*(h - 2)
Determine q so that 162*q**4 + 1737684*q**3 + 2509730*q**2 + 858008*q + 85800 = 0.
-10725, -1, -2/9
Determine c so that -c**4 - 27*c**3 - 54*c**2 + 432*c = 0.
-24, -6, 0, 3
Factor -3*i**2/2 + 115155*i - 4420224675/2.
-3*(i - 38385)**2/2
Solve -o**4/9 - 34*o**3 - 1128*o**2 - 13152*o - 51840 = 0 for o.
-270, -12
Factor -h**3 + 87*h**2 - 224*h - 2352.
-(h - 84)*(h - 7)*(h + 4)
Solve z**5 + 14*z**4 + 62*z**3 + 76*z**2 - 63*z - 90 = 0.
-6, -5, -3, -1, 1
Factor -2*m**4/3 + 2240*m**3/3 - 679450*m**2/3 + 28622500*m/3.
-2*m*(m - 535)**2*(m - 50)/3
Determine o so that o**5/6 + 289*o**4/6 + 9749*o**3/3 - 103039*o**2/3 - 469499*o/6 - 244211/6 = 0.
-149, -1, 11
What is r in 24*r**4 + 27105*r**3 + 91233*r**2 + 30402*r = 0?
-1126, -3, -3/8, 0
Factor -5*s**3 + 20565*s**2 - 21380475*s + 480932875.
-5*(s - 2045)**2*(s - 23)
Factor 4*a**4 - 67468*a**3 - 404904*a**2 - 809872*a - 539936.
4*(a - 16873)*(a + 2)**3
Factor -4*c**3/5 - 5192*c**2 - 41701668*c/5 + 1361167488/5.
-4*(c - 32)*(c + 3261)**2/5
Suppose -6*v**4 + 338*v**3 + 2856*v**2 + 5592*v + 2560 = 0. Calculate v.
-5, -2, -2/3, 64
Factor -2*p**2 + 293780*p - 10788336050.
-2*(p - 73445)**2
Let w**2 - 412*w - 5525 = 0. What is w?
-13, 425
Solve -2*j**2/3 - 181345*j/3 - 30224 = 0 for j.
-90672, -1/2
Find b such that -3*b**3/8 + 333*b**2/8 + 3555*b/8 + 9075/8 = 0.
-5, 121
Factor -u**4/3 - 213*u**3 - 44935*u**2 - 9106325*u/3 + 19876750.
-(u - 6)*(u + 215)**3/3
Factor 169*n**3 - 4323982*n**2 - 1330468*n - 102344.
(n - 25586)*(13*n + 2)**2
What is p in p**2/4 - 3509*p + 12313081 = 0?
7018
Factor -4*q**2 + 258480*q + 516976.
-4*(q - 64622)*(q + 2)
Factor 5*l**3 - 955*l**2 + 38000*l + 214500.
5*(l - 130)*(l - 66)*(l + 5)
Factor -35*b**2 + 6644005*b + 1898290.
-5*(b - 189829)*(7*b + 2)
Factor -4*m**3 + 13880*m**2 + 957712*m + 16359712.
-4*(m - 3538)*(m + 34)**2
Let -5*p**5 + 910*p**4 - 8415*p**3 - 31690*p**2 - 22360*p = 0. What is p?
-2, -1, 0, 13, 172
Factor -t**3/8 - 233*t**2/4 - 7535*t/2 + 769529.
-(t - 82)*(t + 274)**2/8
Let -3*d**4 - 504*d**3 + 4185*d**2 - 6846*d + 3168 = 0. What is d?
-176, 1, 6
Find f such that -3*f**4 + 204*f**3 + 1557*f**2 + 1350*f = 0.
-6, -1, 0, 75
Determine d, given that -185*d**2 - 71555*d + 15480 = 0.
-387, 8/37
Solve -2*m**2/9 - 1778*m/3 - 10660/9 = 0.
-2665, -2
What is g in 6*g**3 - 20138*g**2 - 154760*g + 53824 = 0?
-8, 1/3, 3364
Factor w**2/5 - 55*w - 4656/5.
(w - 291)*(w + 16)/5
Let 4*m**2 - 3082032*m + 593682578064 = 0. What is m?
385254
Solve 2*k**4/7 + 18510*k**3/7 - 2*k**2/7 - 18510*k/7 = 0.
-9255, -1, 0, 1
Let 12*a**5/7 + 897*a**4/7 + 22275*a**3/7 + 181875*a**2/7 - 46875*a/7 = 0. Calculate a.
-25, 0, 1/4
Suppose 9*a**4 + 4299*a**3 + 609606*a**2 + 21842784*a + 14292192 = 0. What is a?
-212, -53, -2/3
Factor j**2/5 + 2624*j/5 + 15708/5.
(j + 6)*(j + 2618)/5
Factor 6*c**2/11 + 12486*c/11 + 609300/11.
6*(c + 50)*(c + 2031)/11
Factor w**4/3 + 4998*w**3 + 14993*w**2/3.
w**2*(w + 1)*(w + 14993)/3
Suppose -v**3/4 - 36*v**2 + 31395*v/4 - 578825/2 = 0. Calculate v.
-274, 65
What is o in 3*o**3/5 - 99*o**2 + 5994*o/5 - 10032/5 = 0?
2, 11, 152
Find m such that -5*m**3 - 2738135*m**2 - 374867794840*m + 374870532980 = 0.
-273814, 1
Find g such that 4*g**4 + 236*g**3 + 1036*g**2 - 45276*g = 0.
-49, -21, 0, 11
Solve -f**2 + 129064*f - 4164379024 = 0 for f.
64532
Factor 5*x**3 - 22440*x**2 - 5*x + 22440.
5*(x - 4488)*(x - 1)*(x + 1)
Let z**2/9 - 3935*z/9 + 394696/9 = 0. Calculate z.
103, 3832
Suppose 103684*b**4 - 6631912*b**3 + 105925156*b**2 + 3954432*b + 36864 = 0. What is b?
-3/161, 32
Factor 6274*p**2/5 + 1255*p + 1/5.
(p + 1)*(6274*p + 1)/5
Suppose -5*r**5 + 4375*r**4 - 26055*r**3 - 13115*r**2 + 69460*r + 52140 = 0. Calculate r.
-1, 2, 6, 869
Factor -2*k**3/15 + 222*k**2 - 13288*k/15.
-2*k*(k - 1661)*(k - 4)/15
Factor v**3 + 113384*v**2 + 3213982864*v.
v*(v + 56692)**2
Factor c**5/6 - 55*c**4/6 + 35*c**3/3 + 2550*c**2 + 20340*c + 45936.
(c - 44)*(c - 29)*(c + 6)**3/6
Let -36*j**3 + 704*j**2 + 3180*j - 84600 = 0. What is j?
-94/9, 15
Factor -o**3 - 683*o**2 - 134496*o - 8190720.
-(o + 144)**2*(o + 395)
Let 2*i**5 - 366*i**4 - 8*i**3 + 1464*i**2 = 0. Calculate i.
-2, 0, 2, 183
Find h, given that h**2 + 2124*h = 0.
-2124, 0
Factor -g**2/5 - 125*g - 91804/5.
-(g + 236)*(g + 389)/5
Determine g so that 5*g**3 + 1060*g**2 + 49280*g - 752640 = 0.
-112, 12
Factor -2*n**3 + 978*n**2 + 1980*n - 7856.
-2*(n - 491)*(n - 2)*(n + 4)
Factor p**4 - 