d j, given that 3*j**5/5 - 24*j**4/5 - 3*j**3/5 + 24*j**2/5 = 0.
-1, 0, 1, 8
Solve k**2 + 50*k = 0 for k.
-50, 0
Factor -3*w**3 + 21*w**2 + 15*w - 225.
-3*(w - 5)**2*(w + 3)
Factor -3*i**5/2 + 60*i**4 + 249*i**3/2 + 63*i**2.
-3*i**2*(i - 42)*(i + 1)**2/2
Determine q, given that q**2 + 1034*q + 267289 = 0.
-517
Determine n, given that 49*n**5/8 - 7*n**4/2 - 927*n**3/8 + 1001*n**2/4 - 229*n/2 + 15 = 0.
-5, 2/7, 2, 3
Find d such that -24*d**2 - 484*d + 248 = 0.
-62/3, 1/2
Let 8*a**5/3 + 10*a**4/3 - 18*a**3 - 22*a**2/3 + 46*a/3 + 4 = 0. Calculate a.
-3, -1, -1/4, 1, 2
Factor -5*m**4 - 120*m**3 - 110*m**2 + 120*m + 115.
-5*(m - 1)*(m + 1)**2*(m + 23)
Factor -5*i**3 + 55*i**2 - 120*i - 180.
-5*(i - 6)**2*(i + 1)
Find j such that -3*j**4 - 60*j**3 - 354*j**2 - 540*j - 243 = 0.
-9, -1
Let -c**5/2 + 21*c**3 + 76*c**2 + 183*c/2 + 36 = 0. What is c?
-3, -1, 8
Factor 4*b**4 + 312*b**3 - 320*b**2 - 312*b + 316.
4*(b - 1)**2*(b + 1)*(b + 79)
Factor 15*t**3 + 1040*t**2 + 8445*t + 2700.
5*(t + 9)*(t + 60)*(3*t + 1)
Let -r**3 + 16*r**2/3 - 23*r/3 + 2 = 0. Calculate r.
1/3, 2, 3
Determine z so that -z**5 - 3*z**4/2 + 53*z**3/2 + 189*z**2/2 + 189*z/2 + 27 = 0.
-3, -1, -1/2, 6
Factor 3*y**5/2 + 39*y**4/2 + 135*y**3/2 - 75*y**2/2 - 375*y.
3*y*(y - 2)*(y + 5)**3/2
Factor -4*r**3 + 164*r**2 - 312*r.
-4*r*(r - 39)*(r - 2)
Solve 5*s**2/4 + 770*s + 1535 = 0 for s.
-614, -2
Solve 20*m**3 - 49935*m**2 - 12485*m = 0 for m.
-1/4, 0, 2497
Factor -3*w**5 - 303*w**4 - 594*w**3 + 6*w**2 + 597*w + 297.
-3*(w - 1)*(w + 1)**3*(w + 99)
Factor 5*d**2 - 35*d - 490.
5*(d - 14)*(d + 7)
Determine u so that 4*u**2 + 1104*u - 1108 = 0.
-277, 1
What is a in 2*a**4/11 - 8*a**3/11 - 140*a**2/11 - 184*a/11 + 30 = 0?
-5, -3, 1, 11
Factor 2*g**2/15 + 4*g/15 - 2.
2*(g - 3)*(g + 5)/15
Factor 2*a**5 - 12*a**4 + 24*a**3 - 20*a**2 + 6*a.
2*a*(a - 3)*(a - 1)**3
Suppose 3*h**2 - 18*h - 480 = 0. Calculate h.
-10, 16
Factor -m**2/2 + 67*m/2 + 69.
-(m - 69)*(m + 2)/2
Factor 4*h**2 - 6304*h + 2483776.
4*(h - 788)**2
Factor -5*a**5 + 19*a**4 - 16*a**3 - 4*a**2.
-a**2*(a - 2)**2*(5*a + 1)
Find u such that -3*u**2 - 58*u - 19 = 0.
-19, -1/3
Factor -2*h**3/5 + 96*h**2/5 - 274*h/5 + 36.
-2*(h - 45)*(h - 2)*(h - 1)/5
Let -p**2/4 + 11*p/4 + 13/2 = 0. What is p?
-2, 13
Factor -2*v**2/3 - 10*v/3 + 4.
-2*(v - 1)*(v + 6)/3
Determine m so that -3*m**5 + 15*m**4 - 27*m**3 + 21*m**2 - 6*m = 0.
0, 1, 2
Let 5*h**3/2 - 49*h**2/2 + 159*h/2 - 171/2 = 0. Calculate h.
3, 19/5
Factor 2*c**3/5 - 12*c**2 - 134*c/5 + 192/5.
2*(c - 32)*(c - 1)*(c + 3)/5
Find j such that 3*j**4 + 15*j**3 + 9*j**2 - 27*j = 0.
-3, 0, 1
Factor -4*z**2 - 2380*z - 2376.
-4*(z + 1)*(z + 594)
Factor b**5 + 924*b**4 + 211588*b**3 - 857472*b**2 + 861184*b.
b*(b - 2)**2*(b + 464)**2
Let -3*s**2 - 1215*s + 1218 = 0. Calculate s.
-406, 1
Suppose 2*b**3/15 + 4*b**2/15 - 2*b - 24/5 = 0. What is b?
-3, 4
Factor 2*o**3 + 14*o**2 - 34*o + 18.
2*(o - 1)**2*(o + 9)
Factor -h**2/9 + 34*h/9 - 289/9.
-(h - 17)**2/9
Factor 3*f**2 - 60*f + 57.
3*(f - 19)*(f - 1)
Factor 3*x**3/2 + 495*x**2/2 + 22869*x/2 + 195657/2.
3*(x + 11)*(x + 77)**2/2
Determine f so that f**3/9 + 3133*f**2/9 = 0.
-3133, 0
Solve -4*i**2 - 3848*i - 925444 = 0 for i.
-481
Let -24*n**3 + 140*n**2 + 376*n = 0. Calculate n.
-2, 0, 47/6
Factor -2*a**3 + 1088*a**2 + 1090*a.
-2*a*(a - 545)*(a + 1)
Let -n**3 + 84*n**2 - 2352*n + 21952 = 0. What is n?
28
Factor h**4/2 - 91*h**3 + 270*h**2 - 269*h + 179/2.
(h - 179)*(h - 1)**3/2
Find b, given that 6*b**5/7 + 20*b**4/7 + 2*b**3/7 - 36*b**2/7 - 8*b/7 + 16/7 = 0.
-2, -1, 2/3, 1
Let 27*f**2/7 - 291*f/7 - 66/7 = 0. What is f?
-2/9, 11
Factor h**4/6 - 4*h**3/3 + h**2 + 4*h/3 - 7/6.
(h - 7)*(h - 1)**2*(h + 1)/6
Factor 36*p**2 + 12052*p - 2680.
4*(p + 335)*(9*p - 2)
Find s such that s**3/2 - 229*s**2/2 - 461*s/2 - 231/2 = 0.
-1, 231
Factor 99*c**3/2 - 295*c**2/2 - 201*c - 4.
(c - 4)*(c + 1)*(99*c + 2)/2
Determine a, given that -3*a**5/8 - 5*a**4/4 - 5*a**3/4 + 5*a/8 + 1/4 = 0.
-1, 2/3
Factor -286*v**3/15 - 268*v**2/5 + 144*v/5.
-2*v*(11*v + 36)*(13*v - 6)/15
Solve y**3/2 + 4*y**2 - 9*y/2 = 0 for y.
-9, 0, 1
Factor 5324000*p**4 - 11083600*p**3 + 883080*p**2 - 23868*p + 216.
4*(p - 2)*(110*p - 3)**3
Solve 5*m**3/4 - 28*m**2 + 11*m = 0.
0, 2/5, 22
Factor -s**3/8 - 14*s**2 + 227*s/8 - 57/4.
-(s - 1)**2*(s + 114)/8
Factor 2*z**3 + 8*z**2 + 2*z - 12.
2*(z - 1)*(z + 2)*(z + 3)
What is x in 5*x**4 - 59*x**3/3 - 176*x**2/3 - 20*x = 0?
-5/3, -2/5, 0, 6
Let -4*b**5 - 40*b**4 - 52*b**3 + 128*b**2 + 272*b + 128 = 0. Calculate b.
-8, -2, -1, 2
Factor -2*i**4/13 + 228*i**3/13 + 696*i**2/13 + 700*i/13 + 18.
-2*(i - 117)*(i + 1)**3/13
Factor 33*u**2 - 180*u - 357.
3*(u - 7)*(11*u + 17)
Factor 7*v**2 - 33*v/5 - 2/5.
(v - 1)*(35*v + 2)/5
Factor d**5/3 - 3*d**4.
d**4*(d - 9)/3
Let -3*l**3 + 37*l**2/2 - 28*l + 25/2 = 0. What is l?
1, 25/6
Solve -2*s**4 - 2*s**3 + 186*s**2 - 358*s + 176 = 0.
-11, 1, 8
Solve -x**2 + 45*x - 44 = 0 for x.
1, 44
Let -2*d**2/3 + 49*d - 72 = 0. What is d?
3/2, 72
Factor 2*d**3/3 - 1904*d**2/3 - 1906*d/3.
2*d*(d - 953)*(d + 1)/3
Solve 2*m**2/5 + 4*m/5 + 2/5 = 0.
-1
Let z**3/2 + 419*z**2/2 + 835*z/2 + 417/2 = 0. What is z?
-417, -1
Factor m**2 - 65*m/2 + 16.
(m - 32)*(2*m - 1)/2
Suppose 15*n**5 + 69*n**4 + 75*n**3 + 3*n**2 - 18*n = 0. What is n?
-3, -1, 0, 2/5
What is l in 21*l**5 - 384*l**4 + 381*l**3 + 1434*l**2 - 1860*l + 408 = 0?
-2, 2/7, 1, 2, 17
Factor 4*g**2 + 60752*g + 230675344.
4*(g + 7594)**2
Let -r**2/4 + 93*r/2 - 8649/4 = 0. Calculate r.
93
Let -n**5 + 5*n**4 - 4*n**3 - 16*n**2 + 32*n - 16 = 0. Calculate n.
-2, 1, 2
Factor a**2/2 - 807*a - 1615/2.
(a - 1615)*(a + 1)/2
Factor -q**3 + 769*q**2 + 3079*q/4 + 385/2.
-(q - 770)*(2*q + 1)**2/4
Solve f**4/4 + 7*f**3/4 + 11*f**2/4 - 7*f/4 - 3 = 0 for f.
-4, -3, -1, 1
Solve 2*q**2/5 - 424*q/5 + 422/5 = 0.
1, 211
Find r, given that 3*r**2/2 + 12444*r + 25808856 = 0.
-4148
Find o such that -5*o**4/4 - 2*o**3 + 99*o**2/4 + 31*o/2 - 10 = 0.
-5, -1, 2/5, 4
Factor -2*c**2 - 436*c - 23762.
-2*(c + 109)**2
Suppose 2*p**5 + 366*p**4 + 23020*p**3 + 537844*p**2 + 2568978*p + 2053790 = 0. Calculate p.
-59, -5, -1
Suppose g**2 - 252*g - 253 = 0. What is g?
-1, 253
Find p such that 3*p**3/8 - 43*p**2/4 + 271*p/8 + 25/2 = 0.
-1/3, 4, 25
Let -2*r**2/9 + 428*r/9 - 22898/9 = 0. Calculate r.
107
Solve -48*z**4/5 - 91*z**3/5 + 44*z**2/5 + 77*z/5 + 18/5 = 0.
-2, -9/16, -1/3, 1
Factor -u**5 + 43*u**4 - 387*u**3 - 1771*u**2 + 2116*u.
-u*(u - 23)**2*(u - 1)*(u + 4)
Suppose 2*g**4/7 - 22*g**3/7 - 44*g**2/7 + 832*g/7 - 768/7 = 0. What is g?
-6, 1, 8
Solve -k**5 - 2*k**4 + 12*k**3 + 8*k**2 - 32*k = 0.
-4, -2, 0, 2
Determine k so that 6*k**5 - 256*k**4/3 + 848*k**3/3 - 896*k**2/3 + 160*k/3 = 0.
0, 2/9, 2, 10
Suppose 3*n**5 - 15*n**4 - 24*n**3 + 36*n**2 = 0. Calculate n.
-2, 0, 1, 6
Suppose 5*h**3/6 + 2*h**2 - 29*h/6 + 2 = 0. Calculate h.
-4, 3/5, 1
Determine x so that -147*x**4 - 231*x**3 + 261*x**2 + 195*x - 150 = 0.
-2, -1, 5/7
Factor a**4/4 + 5*a**3/4 - 11*a**2/2 + 4*a.
a*(a - 2)*(a - 1)*(a + 8)/4
Solve -3*k**5/2 + 24*k**4 - 117*k**3 + 168*k**2 - 147*k/2 = 0 for k.
0, 1, 7
Find v such that 12*v**3 + 108*v**2 + 243*v = 0.
-9/2, 0
Factor 5*s**2 + 165*s + 580.
5*(s + 4)*(s + 29)
Let -58*i**2/3 - 11770*i/3 + 812/3 = 0. Calculate i.
-203, 2/29
Suppose -u**2/2 - 253*u - 504 = 0. What is u?
-504, -2
Suppose -2*y**4/3 + 20*y**3/3 + 34*y**2 + 136*y/3 + 56/3 = 0. What is y?
-2, -1, 14
Let -h**2/2 - 305*h/2 - 152 = 0. What is h?
-304, -1
Determine t, given that -2*t**5/7 + 44*t**4/7 + 4*t**3/7 - 88*t**2/7 - 2*t/7 + 44/7 = 0.
-1, 1, 22
Factor -18*s**3 + 586*s**2 - 2652*s - 1296.
-2*(s - 27)*(s - 6)*(9*s + 4)
Find o, given that 3*o**5/7 - 3*o**4 + 27*o**3/7 + 3*o**2 - 30*o/7 = 0.
-1, 0, 1, 2, 5
Factor b**4/3 + 59*b**3/3 + 280*b**2 - 300*b.
b*(b - 1)*(b + 30)**2/3
Suppose -9*k**5/2 - 102*k**4 - 660*k**3 - 576*k**2 + 3480*k + 2400 = 0. Calculate k.
-10, -4, -2/3, 2
Let 2*h**5/7 + 4*h**4/7 - 30*h**3/7 - 40*h**2/7 + 88*h/7 + 96/7 = 0. What is h?
-4, -2, -1, 2, 3
Factor 45*x**3 - 1695*x**2 + 20615*x - 81685.
5*(x - 17)*(3*x - 31)**2
Factor 35*p**3 + 28010*p**2 + 5608000*p + 1600000.
5*(p + 400)**2*(7*p + 2)
What is y in -9*y**4 - 5178*y**3 + 24300*y**2 - 34776*y + 13920 = 0?
-580, 2/3, 2
Determine p so that -63*p**3/4 + 51*p**2/2 + 15*p - 6 = 0.
-2/3