-2*l**5 + 12*l**4 - 10*l**3.
-2*l**3*(l - 5)*(l - 1)
Factor -a**4/2 - 19*a**3 - 395*a**2/2 - 323*a.
-a*(a + 2)*(a + 17)*(a + 19)/2
Solve 5*u**5 - 3*u**4 - 52*u**3 + 128*u + 48 = 0 for u.
-2, -2/5, 2, 3
Factor -2*f**2/3 + 448*f - 75264.
-2*(f - 336)**2/3
Solve 552*h**5 + 1092*h**4 - 438*h**3 - 681*h**2 + 291*h - 6 = 0 for h.
-2, -1, 1/46, 1/2
Find s, given that s**3 - 22*s**2 + 40*s = 0.
0, 2, 20
Factor 2*z**2/3 + 196*z/3 + 194/3.
2*(z + 1)*(z + 97)/3
Let 4*s**4 + 156*s**3 + 1392*s**2 + 944*s - 2496 = 0. What is s?
-26, -12, -2, 1
Factor w**2 - 335*w + 996.
(w - 332)*(w - 3)
Factor 4*p**2 - 6936*p + 3006756.
4*(p - 867)**2
Factor -i**5/3 - 244*i**4/3 - 4879*i**3 + 10086*i**2.
-i**2*(i - 2)*(i + 123)**2/3
Suppose k**5/5 - 147*k**4/5 - 149*k**3/5 + 147*k**2/5 + 148*k/5 = 0. Calculate k.
-1, 0, 1, 148
Factor -3*j**3/7 + 99*j**2/7 + 354*j/7 - 1080/7.
-3*(j - 36)*(j - 2)*(j + 5)/7
Find d such that -351*d**4/2 + 405*d**3/2 - 27*d**2 - 26*d + 4 = 0.
-1/3, 2/13, 2/3
Suppose -2*q**3/9 - 380*q**2/9 + 2342*q/9 - 1960/9 = 0. What is q?
-196, 1, 5
Factor 4*x**2/7 - 156*x/7 + 152/7.
4*(x - 38)*(x - 1)/7
Factor 5*x**5 - 40*x**4 + 80*x**3 + 80*x**2 - 400*x + 320.
5*(x - 4)*(x - 2)**3*(x + 2)
Determine z so that 40*z**2 - 4615*z + 1725 = 0.
3/8, 115
Factor 4*c**3 + 456*c**2 + 13440*c + 25088.
4*(c + 2)*(c + 56)**2
Factor 2*m**5/3 - 10*m**4 - 22*m**3 - 34*m**2/3.
2*m**2*(m - 17)*(m + 1)**2/3
What is v in -13*v**4/5 - 3*v**3 + 93*v**2/5 + 179*v/5 + 84/5 = 0?
-28/13, -1, 3
What is n in n**2 - 41*n + 40 = 0?
1, 40
Determine p so that 3*p**3 - 651*p**2 + 34320*p + 108900 = 0.
-3, 110
Factor d**2/2 - 4506*d + 10152018.
(d - 4506)**2/2
Find m, given that 3*m**2 + 5265*m = 0.
-1755, 0
Solve -2*p**3/7 - 726*p**2/7 - 1446*p/7 - 722/7 = 0 for p.
-361, -1
What is q in -2*q**3/5 - 46*q**2/5 - 124*q/5 - 16 = 0?
-20, -2, -1
Factor -4805*b**2 + 3720*b - 720.
-5*(31*b - 12)**2
Solve -t**5/2 - 75*t**4/4 - 31*t**3/4 + 229*t**2/4 + 261*t/4 + 37/2 = 0 for t.
-37, -1, -1/2, 2
Determine i, given that -i**3 + 3*i**2 - 4 = 0.
-1, 2
Solve 2*q**3/7 - 2*q**2/7 - 340*q/7 - 48 = 0.
-12, -1, 14
Solve -u**5 + 25*u**4/4 - 11*u**3/2 - 5*u**2 + 13*u/2 - 5/4 = 0 for u.
-1, 1/4, 1, 5
Factor 2*i**4 - 32*i**3 - 2*i**2 + 32*i.
2*i*(i - 16)*(i - 1)*(i + 1)
Find w such that 12*w**5 - 64*w**4 - 336*w**3 - 504*w**2 - 316*w - 72 = 0.
-1, -2/3, 9
Factor -2*t**4/5 + 24*t**3/5 - 82*t**2/5 + 84*t/5.
-2*t*(t - 7)*(t - 3)*(t - 2)/5
What is p in -2*p**2/7 - 216*p/7 - 5832/7 = 0?
-54
Let -2*h**4/9 + 2*h**3/9 + 34*h**2/9 - 14*h/3 - 8 = 0. Calculate h.
-4, -1, 3
Let s**4/4 + 13*s**3/4 + 41*s**2/4 + 47*s/4 + 9/2 = 0. What is s?
-9, -2, -1
Factor -5*q**5 - 135*q**4 - 975*q**3 - 845*q**2.
-5*q**2*(q + 1)*(q + 13)**2
Factor -5*w**3 - 150*w**2 - 285*w - 140.
-5*(w + 1)**2*(w + 28)
Find y such that 4*y**2 + 36*y + 72 = 0.
-6, -3
Determine n, given that n**2/6 + 86*n/3 - 175/2 = 0.
-175, 3
Suppose -5*z**5 - 85*z**4 - 315*z**3 - 135*z**2 + 540*z = 0. What is z?
-12, -3, 0, 1
Factor -n**4/3 - 2*n**3 + 37*n**2/3 - 10*n.
-n*(n - 3)*(n - 1)*(n + 10)/3
What is w in 3*w**5 + 51*w**4 - 243*w**3 + 201*w**2 + 240*w - 252 = 0?
-21, -1, 1, 2
Factor -v**5/3 - 2*v**4/3 + 5*v**3 + 12*v**2.
-v**2*(v - 4)*(v + 3)**2/3
Factor -142*c**3 + 572*c**2 - 442*c + 12.
-2*(c - 3)*(c - 1)*(71*c - 2)
Factor -3*r**3/4 - 171*r**2/4 - 702*r - 2535.
-3*(r + 5)*(r + 26)**2/4
Let 2*s**5 - 12*s**4 - 96*s**3 - 148*s**2 - 66*s = 0. What is s?
-3, -1, 0, 11
Find c such that -c**5/9 - 223*c**4/9 - 220*c**3/9 + 148*c**2/3 = 0.
-222, -2, 0, 1
Factor 4*w**2 + 20*w + 24.
4*(w + 2)*(w + 3)
Factor 2*j**5/3 + 74*j**4/3 + 70*j**3 + 206*j**2/3 + 68*j/3.
2*j*(j + 1)**3*(j + 34)/3
Factor 12*p**2/7 - 10408*p/7 - 992.
4*(p - 868)*(3*p + 2)/7
Factor -10*c**2 + 26*c + 36.
-2*(c + 1)*(5*c - 18)
Factor 3*x**5/5 + 2*x**4/5 - x**3/5.
x**3*(x + 1)*(3*x - 1)/5
Suppose -2*c**3/11 - 16*c**2/11 - 32*c/11 = 0. Calculate c.
-4, 0
Find z such that -2*z**2 - 2*z + 24 = 0.
-4, 3
Let -162*x**4/23 + 4500*x**3/23 - 34994*x**2/23 + 52000*x/23 - 21632/23 = 0. Calculate x.
8/9, 13
Find j, given that -2*j**5 - 108*j**4 - 508*j**3 - 896*j**2 - 690*j - 196 = 0.
-49, -2, -1
Factor 4*q**3/7 + 88*q**2/7 + 288*q/7.
4*q*(q + 4)*(q + 18)/7
Factor -3*a**2/7 - 60*a/7 + 375/7.
-3*(a - 5)*(a + 25)/7
Determine m, given that -m**2 - 63*m = 0.
-63, 0
Factor d**5 + 5*d**4 - d**3 - 5*d**2.
d**2*(d - 1)*(d + 1)*(d + 5)
Factor 4*k**4/7 - 48*k**3/7 + 180*k**2/7 - 232*k/7 + 96/7.
4*(k - 6)*(k - 4)*(k - 1)**2/7
Solve 5*w**5 - 15*w**4 - 35*w**3 + 55*w**2 + 30*w - 40 = 0 for w.
-2, -1, 1, 4
Factor 18*k**4 + 129*k**3 + 201*k**2 + 30*k.
3*k*(k + 2)*(k + 5)*(6*k + 1)
Let f**3/3 + 19*f**2/3 + 80*f/3 - 100/3 = 0. Calculate f.
-10, 1
Find s, given that 5*s**2 - 5665*s + 5660 = 0.
1, 1132
Factor b**2/2 - 27*b/2 - 14.
(b - 28)*(b + 1)/2
Factor -q**3/6 + 28*q**2 - 55*q/2 - 167/3.
-(q - 167)*(q - 2)*(q + 1)/6
Solve v**2/4 + 2349*v/4 + 587 = 0.
-2348, -1
Factor 3*d**3/8 - 39*d**2/4 - 165*d/8 - 21/2.
3*(d - 28)*(d + 1)**2/8
Determine d, given that d**5 - 210*d**3 + 880*d**2 + 2385*d + 1296 = 0.
-16, -1, 9
Find g such that 5*g**3/4 + 95*g**2/4 - 25*g = 0.
-20, 0, 1
Factor r**5/3 - 4*r**4 + 20*r**3/3.
r**3*(r - 10)*(r - 2)/3
Factor m**2/2 + m/2 - 3.
(m - 2)*(m + 3)/2
Factor -5*u**4 - 40*u**3 + 225*u**2 - 180*u.
-5*u*(u - 3)*(u - 1)*(u + 12)
Determine v so that -32*v**4 - 304*v**3 + 158*v**2 - 20*v = 0.
-10, 0, 1/4
Solve 6*x**3 - x**2 - 5*x = 0 for x.
-5/6, 0, 1
What is u in 5*u**5 + 5*u**4 = 0?
-1, 0
What is c in -c**2/2 + 5*c - 9/2 = 0?
1, 9
Factor 2*s**2/9 + 14*s/3 - 260/9.
2*(s - 5)*(s + 26)/9
Find y such that 2*y**3/9 - 8*y**2/3 = 0.
0, 12
Determine y, given that -624962*y**3/11 - 600366*y**2/11 + 2214*y - 22 = 0.
-1, 11/559
Factor 26*w**2/3 - 1128*w + 520/3.
2*(w - 130)*(13*w - 2)/3
Solve 2*y**4/11 - 8*y**3/11 - 60*y**2/11 + 200*y/11 + 250/11 = 0 for y.
-5, -1, 5
Determine g so that 3*g**3/8 - 15*g**2/4 - 357*g/8 = 0.
-7, 0, 17
Solve d**4/5 + 8*d**3/5 - 16*d**2 - 384*d/5 = 0.
-12, -4, 0, 8
Find q such that -15*q**3 + 785*q**2 + 1340*q + 540 = 0.
-1, -2/3, 54
Find x, given that -24*x**5 + 460*x**4 + 9068*x**3 + 26532*x**2 - 42308*x + 6272 = 0.
-7, 1/6, 1, 32
Factor c**4/9 - 613*c**3/9 + 93635*c**2/9 + 94249*c/9.
c*(c - 307)**2*(c + 1)/9
Factor 4*j**4 + 1260*j**3 - 4*j**2 - 1260*j.
4*j*(j - 1)*(j + 1)*(j + 315)
Let -2*o**4/9 + 3664*o**3/3 - 2517168*o**2 + 2305725888*o - 792016842528 = 0. What is o?
1374
Factor 2*z**4/3 - 44*z**3/3 + 338*z**2/3 - 352*z + 384.
2*(z - 8)**2*(z - 3)**2/3
Find k such that -k**5 - 17*k**4 - 85*k**3 - 159*k**2 - 90*k = 0.
-10, -3, -1, 0
Suppose 5*j**4 + 15*j**3 - 80*j**2 + 60*j = 0. What is j?
-6, 0, 1, 2
Factor c**4 + 34*c**3 + 348*c**2 + 990*c + 675.
(c + 1)*(c + 3)*(c + 15)**2
Suppose -3*j**4 + 168*j**3 - 2511*j**2 + 13122*j - 17496 = 0. Calculate j.
2, 9, 36
Determine w so that -2*w**4/9 + 8*w**3/9 - 4*w**2/9 - 8*w/9 + 2/3 = 0.
-1, 1, 3
Determine c, given that -5*c**4 - 50*c**3 - 145*c**2 - 160*c - 60 = 0.
-6, -2, -1
Factor 2*t**4/7 + 76*t**3/7 + 120*t**2 + 112*t - 3136.
2*(t - 4)*(t + 14)**3/7
Let -10*o**2 - 776*o + 2754 = 0. Calculate o.
-81, 17/5
Find j, given that -2*j**5/9 - 62*j**4/3 + 764*j**3/9 - 1156*j**2/9 + 86*j - 194/9 = 0.
-97, 1
Factor 5*h**2 - 210*h + 2205.
5*(h - 21)**2
Factor 5*i**4 - 105*i**3 + 735*i**2 - 1715*i.
5*i*(i - 7)**3
Factor 3*v**5 + 18*v**4 - 108*v**3 - 258*v**2 - 135*v.
3*v*(v - 5)*(v + 1)**2*(v + 9)
Solve -2*w**5/9 - 614*w**4/9 - 64796*w**3/9 - 282612*w**2 - 2319570*w - 5390550 = 0 for w.
-99, -5
Factor -2*t**4/5 + 206*t**3/5 + 126*t**2 + 634*t/5 + 212/5.
-2*(t - 106)*(t + 1)**3/5
Find r, given that 3*r**3 - 18*r**2 - 1353*r + 1368 = 0.
-19, 1, 24
Factor -j**2 + 163*j/2 - 81/2.
-(j - 81)*(2*j - 1)/2
Suppose -u**5/4 - 9*u**4/2 - 30*u**3 - 92*u**2 - 132*u - 72 = 0. What is u?
-6, -2
Find k, given that k**2/6 + 8*k/3 - 17/6 = 0.
-17, 1
Solve -x**2 - 18*x + 19 = 0.
-19, 1
Factor -k**3 + 43*k**2 + 344*k + 300.
-(k - 50)*(k + 1)*(k + 6)
Factor -l**3 - 39*l**2 - 432*l - 972.
-(l + 3)*(l + 18)**2
Let 6*h**5 - 99*h**4 + 420*h**3 - 405*h**2 - 426*h + 504 = 0. What is h?
-1, 1, 2, 4, 21/2
Solve 4*a**5 + 12*a**4 - 8*a**3 - 48*a**2 - 32*a = 0.
-2, -1, 0, 2
Suppose 2*q**4/7 + 2*q**3 + 30*q**2/7 + 18*q/7 = 0. What is q?
-3, -1, 0
Factor -11*a**4/2 - 12*a**3.
-a**3*(11*a + 24)/2
F