**5 + 245*j**4 - 375*j**3 + 115*j**2 + 40*j = 0.
-1/5, 0, 1, 8
Factor -2*r**3/5 - 12*r**2/5 + 6*r + 40.
-2*(r - 4)*(r + 5)**2/5
Suppose -5*m**5/4 - 5*m**4/2 + 130*m**3 + 840*m**2 + 1440*m = 0. Calculate m.
-6, -4, 0, 12
Factor z**2 - 2*z + 1.
(z - 1)**2
Factor 5*b**3/7 - 808*b**2/7 + 481*b/7 + 46.
(b - 161)*(b - 1)*(5*b + 2)/7
Determine s, given that -s**5/2 - 4*s**4 - 11*s**3/2 + 4*s**2 + 6*s = 0.
-6, -2, -1, 0, 1
What is d in -d**4 - 404*d**3/3 - 4578*d**2 - 2948*d + 4489/3 = 0?
-67, -1, 1/3
Factor -2*t**3/21 - 2516*t**2/21.
-2*t**2*(t + 1258)/21
Factor j**4 + 2676*j**3 + 2685366*j**2 + 1197673236*j + 200310848721.
(j + 669)**4
Factor -2*b**3/11 + 10*b**2 - 104*b/11 - 216/11.
-2*(b - 54)*(b - 2)*(b + 1)/11
Factor -2*l**3 + 16*l**2 + 88*l + 96.
-2*(l - 12)*(l + 2)**2
Suppose -3*k**4 - 81*k**3 + 3*k**2 + 81*k = 0. Calculate k.
-27, -1, 0, 1
Determine t, given that t**4/4 - 47*t**3/4 + 575*t**2/4 - 529*t/4 = 0.
0, 1, 23
Determine x so that -x**4/2 + 3*x**3 - 6*x**2 + 5*x - 3/2 = 0.
1, 3
Factor -g**3/2 + 17*g**2/2 + 10*g - 18.
-(g - 18)*(g - 1)*(g + 2)/2
Factor -5*y**2/2 + 171*y + 352.
-(y + 2)*(5*y - 352)/2
Find p such that 2*p**2/7 - 2*p/7 - 24/7 = 0.
-3, 4
Solve -t**3/2 - 31*t**2/2 - 29*t = 0 for t.
-29, -2, 0
What is a in 3*a**2/2 + 591*a/2 - 297 = 0?
-198, 1
Factor -9*r**4 + 123*r**3 - 78*r**2.
-3*r**2*(r - 13)*(3*r - 2)
Let 5*u**3 + 5*u**2 - 50*u + 40 = 0. What is u?
-4, 1, 2
Factor 5*v**2/4 + 197*v/4 + 39/2.
(v + 39)*(5*v + 2)/4
Factor -r**3/3 - 59*r**2/3 - 90*r.
-r*(r + 5)*(r + 54)/3
Find q such that -2*q**5 + 8*q**4 + 6*q**3 - 44*q**2 + 8*q + 48 = 0.
-2, -1, 2, 3
Determine f, given that -2*f**2/15 + 22*f/3 + 112/15 = 0.
-1, 56
Solve -3*i**2 + 3090*i = 0 for i.
0, 1030
Suppose -2*i**2 - 32*i + 72 = 0. What is i?
-18, 2
What is y in -y**5 - 25*y**4 - 197*y**3 - 407*y**2 + 630*y = 0?
-10, -9, -7, 0, 1
Factor -q**2 - 3402*q - 2893401.
-(q + 1701)**2
Find n, given that 10*n**4/19 - 154*n**3/19 + 690*n**2/19 - 742*n/19 + 196/19 = 0.
2/5, 1, 7
Let -2*b**4 - 6*b**3 + 4*b**2 + 24*b + 16 = 0. What is b?
-2, -1, 2
Factor -w**4 - 26*w**3/7 + 8*w**2/7.
-w**2*(w + 4)*(7*w - 2)/7
Suppose -2*m**4/3 + 6*m**3 + 124*m**2/3 + 72*m + 112/3 = 0. Calculate m.
-2, -1, 14
Factor -2*m**3/17 + 54*m**2/17 + 4*m - 336/17.
-2*(m - 28)*(m - 2)*(m + 3)/17
Factor 2*c**3/9 - 134*c**2/9 + 262*c/9 - 130/9.
2*(c - 65)*(c - 1)**2/9
Suppose -3*b**4 - 453*b**3 - 22950*b**2 - 397500*b - 375000 = 0. What is b?
-50, -1
Factor 4*n**5 - 20*n**4 - 24*n**3 + 88*n**2 + 148*n + 60.
4*(n - 5)*(n - 3)*(n + 1)**3
Factor -5*n**4 + 260*n**3 - 215*n**2 - 2100*n + 3060.
-5*(n - 51)*(n - 2)**2*(n + 3)
Determine b so that -2*b**2 - 32*b - 78 = 0.
-13, -3
Determine n, given that -n**4/7 + 6*n**3/7 + 24*n**2/7 + 26*n/7 + 9/7 = 0.
-1, 9
Determine c, given that 3*c**2 - 495*c - 498 = 0.
-1, 166
Let -a**5/4 - 11*a**4/4 - 9*a**3/4 + 11*a**2/4 + 5*a/2 = 0. What is a?
-10, -1, 0, 1
Factor -2*l**3/11 - 360*l**2/11 - 2784*l/11 - 5504/11.
-2*(l + 4)**2*(l + 172)/11
Suppose 2*p**5/7 - 36*p**4/7 + 64*p**3/7 + 4*p**2/7 - 66*p/7 + 32/7 = 0. What is p?
-1, 1, 16
Let -d**4 + 3*d**3 + 24*d**2 + 28*d = 0. Calculate d.
-2, 0, 7
Solve -10*s**4 - 465*s**3/2 - 1115*s**2/2 + 1875*s + 500 = 0.
-20, -5, -1/4, 2
Find y, given that -156*y**5 + 584*y**4 + 1256*y**3 - 1296*y**2 - 428*y + 40 = 0.
-2, -1/3, 1/13, 1, 5
Factor -v**2/2 - 389*v/2 - 579.
-(v + 3)*(v + 386)/2
Let -3136*n**3 + 336*n**2 - 12*n + 1/7 = 0. Calculate n.
1/28
What is p in -5*p**3 + 1720*p**2 - 152945*p + 856830 = 0?
6, 169
Factor -2*y**2/15 - 902*y/15 - 896/5.
-2*(y + 3)*(y + 448)/15
Factor 2*k**2 + 46*k - 156.
2*(k - 3)*(k + 26)
Factor -5*q**2 - 335*q.
-5*q*(q + 67)
Factor v**2/3 + 11*v + 242/3.
(v + 11)*(v + 22)/3
Suppose 6*m**5/17 + 40*m**4/17 + 94*m**3/17 + 84*m**2/17 + 8*m/17 - 16/17 = 0. What is m?
-2, -1, 1/3
Find j such that 12*j**5 - 16*j**4 - 3*j**3 + 6*j**2 + j = 0.
-1/2, -1/6, 0, 1
Find m such that -2*m**3 - 96*m**2 + 410*m - 312 = 0.
-52, 1, 3
Factor -4*l**2 - 2132*l + 4280.
-4*(l - 2)*(l + 535)
What is l in -60*l**5 - 5*l**4 + 165*l**3 - 120*l**2 + 20*l = 0?
-2, 0, 1/4, 2/3, 1
Factor -3*t**3/4 - 33*t**2/4 - 24*t - 21.
-3*(t + 2)**2*(t + 7)/4
Suppose 4*i**2 + 536*i + 17956 = 0. What is i?
-67
Determine y so that -2*y**2/7 + 82*y/7 = 0.
0, 41
Let -x**5/6 - 29*x**4/6 - 87*x**3/2 - 751*x**2/6 - 415*x/3 - 52 = 0. What is x?
-13, -12, -2, -1
Factor y**5 - 27*y**4 + 132*y**3 + 160*y**2.
y**2*(y - 20)*(y - 8)*(y + 1)
Factor 6*v**3/7 + 124*v**2/7 - 142*v/7 - 260/7.
2*(v - 2)*(v + 1)*(3*v + 65)/7
Solve 2*i**5/5 - 2*i**4/3 - 46*i**3/15 + 106*i**2/15 - 32*i/15 - 8/5 = 0.
-3, -1/3, 1, 2
Factor 6*y**3/5 + 4*y**2/5 - 38*y/5 + 12/5.
2*(y - 2)*(y + 3)*(3*y - 1)/5
What is o in 10*o**3/7 - 124*o**2/7 - 402*o/7 + 180/7 = 0?
-3, 2/5, 15
Factor -4*p**5 + 4*p**4 + 36*p**3 + 44*p**2 + 16*p.
-4*p*(p - 4)*(p + 1)**3
Factor -10*w**3 + 1405*w**2 + 2140*w - 1420.
-5*(w - 142)*(w + 2)*(2*w - 1)
Find p, given that 16*p**2/3 - 586*p/3 - 74 = 0.
-3/8, 37
Find p, given that p**2 + 72*p + 1296 = 0.
-36
Solve 2*q**5 - 2810*q**4 + 985604*q**3 + 991228*q**2 - 985606*q - 988418 = 0.
-1, 1, 703
Let -f**5/2 + f**4/2 + 19*f**3 + 62*f**2 + 76*f + 32 = 0. What is f?
-2, -1, 8
Suppose -4*h**2/3 - 172*h/3 + 176/3 = 0. Calculate h.
-44, 1
Factor l**2/4 - 261*l/4 - 1355/2.
(l - 271)*(l + 10)/4
What is k in 2*k**3 + 88*k**2 = 0?
-44, 0
Find x, given that -5*x**5 - 10*x**4 + 70*x**3 - 40*x**2 - 65*x + 50 = 0.
-5, -1, 1, 2
Solve -g**2 + 146*g/3 - 32 = 0.
2/3, 48
Solve 3*r**5 - 6*r**4 - 3*r**3 + 6*r**2 = 0.
-1, 0, 1, 2
Determine u so that 3*u**3/8 + 87*u**2/8 + 21*u/2 = 0.
-28, -1, 0
Factor 18*q**3 - 520*q**2 - 58*q.
2*q*(q - 29)*(9*q + 1)
Factor u**2/6 + 118*u/3 + 6962/3.
(u + 118)**2/6
Factor -21*t**3/4 - 1857*t**2/4 - 10362*t - 4356.
-3*(t + 44)**2*(7*t + 3)/4
Factor -2*f**2/5 + 8*f/5 + 18.
-2*(f - 9)*(f + 5)/5
Determine l so that -2*l**2/11 - 656*l/11 + 658/11 = 0.
-329, 1
Factor -6*i**3/11 - 1020*i**2/11 - 45318*i/11 - 165336/11.
-6*(i + 4)*(i + 83)**2/11
Find b, given that -14*b**4/3 + 340*b**3/3 - 914*b**2 + 2520*b - 648 = 0.
2/7, 6, 9
Factor 5*f**5 - 25*f**4 + 15*f**3 + 25*f**2 - 20*f.
5*f*(f - 4)*(f - 1)**2*(f + 1)
Find d, given that -242*d**5 + 9262*d**4 - 89876*d**3 + 264596*d**2/11 - 23902*d/11 + 722/11 = 0.
1/11, 19
Determine m, given that 2*m**4 + 432*m**3 - 1310*m**2 + 876*m = 0.
-219, 0, 1, 2
Factor 3*k**3 - 100*k**2 + 799*k + 578.
(k - 17)**2*(3*k + 2)
Factor 5*k**2 + 40*k - 325.
5*(k - 5)*(k + 13)
Solve -2*d**3/11 + 582*d**2/11 - 3978*d + 18590 = 0.
5, 143
Factor -2*w**4 - 1068*w**3 - 143640*w**2 - 283024*w.
-2*w*(w + 2)*(w + 266)**2
Solve -3*r**2 - 96*r + 684 = 0 for r.
-38, 6
Factor b**4 - 6*b**2 + 8*b - 3.
(b - 1)**3*(b + 3)
Determine a, given that 2*a**2/11 + 4*a/11 - 6/11 = 0.
-3, 1
Factor -3*s**3 - 8112*s**2 - 5483712*s.
-3*s*(s + 1352)**2
Factor -r**4/4 + r**3/2 + r**2 - r/2 - 3/4.
-(r - 3)*(r - 1)*(r + 1)**2/4
Find j such that j**2/3 + 866*j/3 + 187489/3 = 0.
-433
Factor 2*w**2/3 - 4024*w/3 + 2024072/3.
2*(w - 1006)**2/3
Determine m so that -6174*m**5 + 6468*m**4 + 322*m**3 - 1704*m**2 + 96*m + 128 = 0.
-1/3, 4/7
What is j in -2*j**2 - 122*j - 236 = 0?
-59, -2
Factor -3*u**2 - 14184*u - 16765488.
-3*(u + 2364)**2
Solve 5*y**5/7 - 9*y**4/7 - 10*y**3/7 + 18*y**2/7 + 5*y/7 - 9/7 = 0.
-1, 1, 9/5
Determine l so that l**5/7 - 9*l**4 + 955*l**3/7 + 1347*l**2/7 - 5312*l/7 + 3072/7 = 0.
-3, 1, 32
Factor -40*b**2 - 4*b + 36.
-4*(b + 1)*(10*b - 9)
Factor 3*m**2/5 + 267*m/5 + 774/5.
3*(m + 3)*(m + 86)/5
Factor -2*t**2 - 962*t - 2868.
-2*(t + 3)*(t + 478)
Factor 4*k**3 - 168*k**2 - 1980*k - 5200.
4*(k - 52)*(k + 5)**2
Let -16*w**3/7 - 68*w**2/7 - 16*w/7 = 0. Calculate w.
-4, -1/4, 0
Find c such that 5*c**5 + 15*c**4 - 365*c**3 - 35*c**2 + 1080*c - 700 = 0.
-10, -2, 1, 7
Factor -d**4 - 16*d**3 + 123*d**2 - 198*d.
-d*(d - 3)**2*(d + 22)
Let -2*b**2/19 - 542*b/19 = 0. Calculate b.
-271, 0
Factor 5*w**3 + 15*w**2.
5*w**2*(w + 3)
Factor 2*w**4/15 + 18*w**3/5 + 162*w**2/5 + 486*w/5.
2*w*(w + 9)**3/15
Factor x**4/2 + 3*x**3/2 - 3*x**2 - 4*x.
x*(x - 2)*(x + 1)*(x + 4)/2
Solve 4*f**5/3 - 56*f**4/3 - 308*f**3/3 + 120*f**2 = 0.
-5, 0, 1, 18
Find p such that p**5/8 - 15*p**4/8 + 71*p**3/8 - 97*p**2/8 - 9*p + 14 = 0.
-1, 1, 4, 7
Factor 4*i**3 + 120*i**2 + 524*i + 600.
4*(i + 2)*(i + 3)