 8/9.
-2*(o + 1)*(o + 4)*(4*o + 1)/9
Let 5*n**3 - 70*n**2 + 125*n - 60 = 0. What is n?
1, 12
Solve -t**3/4 - 459*t**2 - 280908*t - 57305232 = 0 for t.
-612
Solve 2*l**2 + 156*l = 0 for l.
-78, 0
Factor 5*m**5 + 110*m**4 - 780*m**3 + 1630*m**2 - 1385*m + 420.
5*(m - 3)*(m - 1)**3*(m + 28)
Suppose 3*q**2/4 - 231*q/4 - 747/2 = 0. Calculate q.
-6, 83
Factor 4*w**3 - 540*w**2 + 536*w.
4*w*(w - 134)*(w - 1)
Factor -3*g**4 + 87*g**3 - 921*g**2 + 4185*g - 6804.
-3*(g - 9)**2*(g - 7)*(g - 4)
Factor f**3 + 672*f**2 - 1347*f + 674.
(f - 1)**2*(f + 674)
Factor t**4/3 - 4*t**3 + 17*t**2/3 + 10*t.
t*(t - 10)*(t - 3)*(t + 1)/3
Factor -3*z**2 + 321*z.
-3*z*(z - 107)
Factor -9*f**4 + 48*f**3 + 201*f**2 - 72*f.
-3*f*(f - 8)*(f + 3)*(3*f - 1)
Solve 2*d**4/7 + 174*d**3/7 + 3630*d**2/7 + 23738*d/7 + 20280/7 = 0 for d.
-60, -13, -1
Find d such that 2*d**5 - 16*d**4 + 12*d**3 + 16*d**2 - 14*d = 0.
-1, 0, 1, 7
Find i, given that 66*i**2/7 + 74*i/7 + 8/7 = 0.
-1, -4/33
Factor -p**2 - 19*p - 70.
-(p + 5)*(p + 14)
Factor 5*i**2 + 13250*i + 8778125.
5*(i + 1325)**2
Factor l**4/3 + 67*l**3 - 203*l**2 + 611*l/3 - 68.
(l - 1)**3*(l + 204)/3
Let k**4 + 11*k**3 - 182*k**2 + 564*k - 504 = 0. Calculate k.
-21, 2, 6
Determine l, given that -l**2/5 + 6*l/5 = 0.
0, 6
Factor -5*z**2 - 6700*z - 2244500.
-5*(z + 670)**2
Factor -3*f**4 + 96*f**3 - 417*f**2 + 324*f.
-3*f*(f - 27)*(f - 4)*(f - 1)
Factor -d**3 - 661*d**2/2 + 331*d/2.
-d*(d + 331)*(2*d - 1)/2
Factor -5*j**3 - 3525*j**2 - 623040*j - 619520.
-5*(j + 1)*(j + 352)**2
Factor -5*y**2 - 335*y + 690.
-5*(y - 2)*(y + 69)
Determine t, given that t**5/4 + 3*t**4/2 + 5*t**3/4 - 3*t**2 = 0.
-4, -3, 0, 1
Find a, given that a**2 + 271*a + 270 = 0.
-270, -1
Factor -q**5 + 3*q**4 - 2*q**3 - 2*q**2 + 3*q - 1.
-(q - 1)**4*(q + 1)
Factor -3*w**2 - 147*w + 306.
-3*(w - 2)*(w + 51)
Let 2*y**5 + 56*y**4 + 320*y**3 - 1188*y**2 - 1890*y + 2700 = 0. Calculate y.
-15, -2, 1, 3
Let 2*r**4 + 16*r**3 - 66*r**2 = 0. Calculate r.
-11, 0, 3
Factor -g**4 + 10*g**3 - 27*g**2 + 18*g.
-g*(g - 6)*(g - 3)*(g - 1)
Determine d, given that 2*d**5/3 + 98*d**4 + 12310*d**3/3 + 111298*d**2/3 + 110160*d + 231200/3 = 0.
-68, -5, -1
What is x in -5*x**4 - 45*x**3 - 35*x**2 + 45*x + 40 = 0?
-8, -1, 1
Factor y**3/7 + 13*y**2/7 - 177*y/7 - 27.
(y - 9)*(y + 1)*(y + 21)/7
Let -2*n**3/3 + 14*n**2/3 - 28*n/3 + 16/3 = 0. What is n?
1, 2, 4
Factor 2*s**2/3 - 1450*s.
2*s*(s - 2175)/3
Solve -2*b**3 + 276*b**2 - 12696*b + 194672 = 0 for b.
46
Find w such that -2*w**4 - 48*w**3 - 206*w**2 - 312*w - 152 = 0.
-19, -2, -1
Factor 5*q**2 + 45*q - 50.
5*(q - 1)*(q + 10)
Factor -i**3/3 - 35*i**2/3 - 259*i/3 - 75.
-(i + 1)*(i + 9)*(i + 25)/3
Factor 2*i**2/9 + 164*i/3 + 3362.
2*(i + 123)**2/9
Factor 3*u**4 - 30*u**3 - 72*u**2.
3*u**2*(u - 12)*(u + 2)
Factor 2*t**5/5 + 14*t**4/5 + 12*t**3/5.
2*t**3*(t + 1)*(t + 6)/5
Determine p so that p**4/4 + 137*p**3/4 + 4887*p**2/4 + 12931*p/4 - 4489 = 0.
-67, -4, 1
Factor -2*a**3/15 + 74*a**2/15 + 54*a/5 - 78/5.
-2*(a - 39)*(a - 1)*(a + 3)/15
Solve -2*q**2/9 - 632*q/9 - 49928/9 = 0.
-158
Find h, given that -h**2/3 - 1232*h/3 - 379456/3 = 0.
-616
Factor 4*f**2/5 + 116*f/5 + 312/5.
4*(f + 3)*(f + 26)/5
Determine w so that -4*w**4/3 - 20*w**3 - 52*w**2 - 148*w/3 - 16 = 0.
-12, -1
Factor -12*p**4 - 64*p**3 - 60*p**2 + 72*p.
-4*p*(p + 3)**2*(3*p - 2)
Find f such that -f**4 - 11*f**3 - 17*f**2 + 11*f + 18 = 0.
-9, -2, -1, 1
Factor 4*h**4/7 + 32*h**3/7 + 88*h**2/7 + 96*h/7 + 36/7.
4*(h + 1)**2*(h + 3)**2/7
Factor v**3/12 - 39*v**2/4 + 113*v/3.
v*(v - 113)*(v - 4)/12
Factor 4*l**2 + 964*l - 5928.
4*(l - 6)*(l + 247)
Suppose 5*l**5 - 255*l**4 - 55*l**3 + 2715*l**2 + 4550*l + 2040 = 0. What is l?
-2, -1, 4, 51
Factor s**3/5 - 2*s**2 + 33*s/5 - 36/5.
(s - 4)*(s - 3)**2/5
Factor 5*k**2 + 440*k + 435.
5*(k + 1)*(k + 87)
Factor 2835*o**2 + 475*o + 10.
5*(7*o + 1)*(81*o + 2)
Solve -3*f**2/5 - 1044*f/5 + 420 = 0.
-350, 2
Factor -2*u**2 + 174*u - 172.
-2*(u - 86)*(u - 1)
What is q in -10*q**3/3 - 68*q**2/3 - 46*q - 24 = 0?
-3, -4/5
Factor 4*c**2 + 280*c + 4800.
4*(c + 30)*(c + 40)
Determine x so that -x**3/6 + 46*x**2 + 185*x/2 + 139/3 = 0.
-1, 278
Let -4*v**3 + 120*v**2 - 228*v + 112 = 0. What is v?
1, 28
Solve -2*c**5 - 850*c**4/3 - 31522*c**3/3 - 31242*c**2 + 125856*c - 38088 = 0 for c.
-69, -6, 1/3, 2
Factor 3*o**4/7 - 3*o**3 - 30*o**2/7 + 48*o/7.
3*o*(o - 8)*(o - 1)*(o + 2)/7
Factor -2*u**2/15 + 24*u/5.
-2*u*(u - 36)/15
Suppose -46*g**5/3 + 14*g**4 + 142*g**3/3 - 34*g**2/3 - 32*g - 8/3 = 0. Calculate g.
-1, -2/23, 1, 2
Factor w**5 + 91*w**4 + 603*w**3 + 1273*w**2 + 1096*w + 336.
(w + 1)**3*(w + 4)*(w + 84)
Let -2*c**5 - 40*c**4 + 46*c**3 + 84*c**2 = 0. Calculate c.
-21, -1, 0, 2
Suppose -v**5/4 - 3*v**4/2 - 5*v**3/4 + 5*v**2 + 9*v + 4 = 0. What is v?
-4, -2, -1, 2
Factor 5*a**5 - 25*a**4/3 + 5*a**3/3 + 5*a**2/3.
5*a**2*(a - 1)**2*(3*a + 1)/3
Find k such that -k**4 + 2*k**3 + 9*k**2 - 2*k - 8 = 0.
-2, -1, 1, 4
Find z such that 3*z**5/2 + 261*z**4/8 + 213*z**3/4 + 117*z**2/8 - 15*z/2 = 0.
-20, -1, 0, 1/4
Factor 4*v**4 - 44*v**3 + 140*v**2 - 100*v.
4*v*(v - 5)**2*(v - 1)
Factor t**4/11 - 14*t**3/11 + 60*t**2/11 - 82*t/11 + 35/11.
(t - 7)*(t - 5)*(t - 1)**2/11
Solve 3*h**5/8 + 63*h**4/8 + 57*h**3 + 135*h**2 - 162*h - 810 = 0 for h.
-6, -5, 2
What is r in -3*r**3 - 12*r**2 + 63*r = 0?
-7, 0, 3
Factor 3*o**3/8 - 117*o**2/4 - 3*o/2 + 117.
3*(o - 78)*(o - 2)*(o + 2)/8
Determine j, given that -3*j**4 + 6*j**3 + 93*j**2 + 84*j = 0.
-4, -1, 0, 7
Determine f, given that f**3 + 577*f**2 + 84091*f + 247107 = 0.
-287, -3
Let -d**5/6 - 7*d**4/6 - 19*d**3/6 - 25*d**2/6 - 8*d/3 - 2/3 = 0. Calculate d.
-2, -1
Factor -s**4/6 + 19*s**3/2 - 140*s**2 + 392*s/3.
-s*(s - 28)**2*(s - 1)/6
Factor -3*x**3 + 264*x**2 - 5535*x - 12150.
-3*(x - 45)**2*(x + 2)
What is u in -28*u**5 - 92*u**4 + 144*u**3 + 272*u**2 + 64*u = 0?
-4, -1, -2/7, 0, 2
Suppose -q**4/2 + 7*q**3/2 + 141*q**2/2 - 927*q/2 + 702 = 0. Calculate q.
-12, 3, 13
Determine p so that -5*p**3 + 23*p**2 - 10*p - 8 = 0.
-2/5, 1, 4
Suppose -3*m**4 + 10*m**3 + 5*m**2 - 20*m - 12 = 0. Calculate m.
-1, -2/3, 2, 3
Determine i so that 6*i**4/5 - 56*i**3/5 + 156*i**2/5 - 136*i/5 + 6 = 0.
1/3, 1, 3, 5
Let -n**2/8 - 5*n/2 = 0. What is n?
-20, 0
Let -50*w**4 - 11940*w**3 - 717578*w**2 - 568344*w - 113288 = 0. Calculate w.
-119, -2/5
Factor 5*t**4 + 20*t**3 + 15*t**2 - 20*t - 20.
5*(t - 1)*(t + 1)*(t + 2)**2
Factor -2*s**3 + 32*s**2 - 78*s.
-2*s*(s - 13)*(s - 3)
Factor t**2/4 - 25*t + 625.
(t - 50)**2/4
Factor -2*c**3 - 2524*c**2 - 806322*c - 6290064.
-2*(c + 8)*(c + 627)**2
What is s in -s**5 + 49*s**4 - 859*s**3 + 6255*s**2 - 16200*s + 13500 = 0?
2, 15
Factor -3*b**2 + 8487*b - 8484.
-3*(b - 2828)*(b - 1)
Solve -2*p**5/21 - 106*p**4/21 - 32*p**3 - 1304*p**2/21 - 736*p/21 = 0 for p.
-46, -4, -2, -1, 0
Factor 2*s**2 + 2624*s + 860672.
2*(s + 656)**2
Find i, given that i**3/2 + 621*i**2/2 - 1248*i + 1250 = 0.
-625, 2
Factor -290521*p**2/5 - 1078*p - 5.
-(539*p + 5)**2/5
Factor v**2/6 + 47*v/3 - 95/6.
(v - 1)*(v + 95)/6
What is m in -195*m**3 - 522*m**2 - 165*m + 162 = 0?
-27/13, -1, 2/5
Find d such that -20*d**2/13 + 2222*d/13 - 222/13 = 0.
1/10, 111
Let -r**5 + 9*r**4 + 52*r**3 + 16*r**2 - 192*r - 208 = 0. What is r?
-2, 2, 13
Solve -k**3 - 7*k**2 + k + 7 = 0.
-7, -1, 1
Solve -i**2/4 + 15*i/4 - 14 = 0.
7, 8
Determine j so that 4*j**4 - 20*j**3 - 32*j**2 + 48*j = 0.
-2, 0, 1, 6
Factor -b**3/5 - 461*b**2/5 - 918*b/5.
-b*(b + 2)*(b + 459)/5
Factor -q**2/4 + 29*q/2 - 165/4.
-(q - 55)*(q - 3)/4
Factor 2*w**2/9 + 2*w/3 - 8/9.
2*(w - 1)*(w + 4)/9
Solve 159*w**2 - 168*w + 9 = 0 for w.
3/53, 1
Find b such that -b**2/3 - 8*b/3 - 4 = 0.
-6, -2
Factor r**3/6 - 51*r**2 + 5202*r - 176868.
(r - 102)**3/6
Factor -5*j**5 - 30*j**4 - 60*j**3 - 50*j**2 - 15*j.
-5*j*(j + 1)**3*(j + 3)
Factor 14*p**3 - 514*p**2 - 2444*p - 656.
2*(p - 41)*(p + 4)*(7*p + 2)
Factor -725*p**2 + p.
-p*(725*p - 1)
Solve 4*f**2 + 68544*f + 293642496 = 0.
-8568
Factor l**2/2 + 79*l - 160.
(l - 2)*(l + 160)/2
Factor -5*c**2 - 10*c + 75.
-5*(c - 3)*(c + 5)
Solve -315*l**5 - 940*l**4 - 1010*l**3 - 460*l**2 - 75*l = 0 for l.
-1, -5/9, -3/7, 0
Factor 4*s**3 + 3936*s**2 + 972180*s + 1928648.
4*(s + 2)*(s + 491)**2
Find m such that -m**4/3 + 13*m**3/3 - 16*m**2 + 12*m = 0.
0, 1, 6
Find g such t