 14*k**2/5 - 1458*k/5 + 252 = 0 for k.
-105, -3, 1, 2
Factor -n**4/2 - 2*n**3 - 3*n**2/2.
-n**2*(n + 1)*(n + 3)/2
Suppose -5*a**3 - 1970*a**2 = 0. Calculate a.
-394, 0
Determine n, given that 3*n**5 - 138*n**4 + 255*n**3 + 408*n**2 - 516*n - 528 = 0.
-1, 2, 44
Factor 4*f**4/5 - 24*f**3/5 + 16*f**2/5 + 96*f/5 - 128/5.
4*(f - 4)*(f - 2)**2*(f + 2)/5
Factor -2*d**4 - 8*d**3 + 10*d**2.
-2*d**2*(d - 1)*(d + 5)
Solve -3*j**5 - 18*j**4 + 24*j**3 + 18*j**2 - 21*j = 0.
-7, -1, 0, 1
Factor -d**2 - 28*d + 29.
-(d - 1)*(d + 29)
Determine p so that 3*p**3 + 129*p**2 + 1749*p + 7623 = 0.
-21, -11
Determine h so that -4*h**5/15 - 38*h**4/3 - 148*h**3/5 + 286*h**2/15 + 712*h/15 - 24 = 0.
-45, -2, 1/2, 1
Factor -c**5 + 19*c**4 + 21*c**3 - 19*c**2 - 20*c.
-c*(c - 20)*(c - 1)*(c + 1)**2
Factor -i**2 - 12*i - 11.
-(i + 1)*(i + 11)
Solve 4*p**4 - 240*p**3 + 1112*p**2 - 624*p - 1980 = 0.
-1, 3, 55
Factor -3*b**3/2 + 187*b**2 - 247*b/2 - 62.
-(b - 124)*(b - 1)*(3*b + 1)/2
Find h, given that 3*h**2 + 33*h - 126 = 0.
-14, 3
Suppose -3*c**4 + 408*c**3 - 14652*c**2 + 52272*c = 0. What is c?
0, 4, 66
Factor -5*n**4 - 29*n**3 - 34*n**2 + 8*n.
-n*(n + 2)*(n + 4)*(5*n - 1)
Solve k**2/2 - 23*k/2 + 66 = 0 for k.
11, 12
Factor -u**3/4 - 9*u**2/4 - 27*u/4 - 27/4.
-(u + 3)**3/4
Factor -t**3/3 + 173*t**2 + t/3 - 173.
-(t - 519)*(t - 1)*(t + 1)/3
Solve -405*i**5/2 - 801*i**4 - 156*i**3 + 2800*i**2 + 3904*i + 1536 = 0.
-12/5, -4/3, -8/9, 2
Factor -2*o**4 - 32*o**3 + 70*o**2 - 36*o.
-2*o*(o - 1)**2*(o + 18)
Determine d so that -d**2/2 + 811*d/2 - 1212 = 0.
3, 808
Determine y, given that 3*y**4/2 - 9*y**3 + 33*y**2/2 - 9*y = 0.
0, 1, 2, 3
Determine c so that 6*c**4 + 14*c**3 - 48*c**2 - 24*c + 32 = 0.
-4, -1, 2/3, 2
Factor -3*p**4 + 3*p**3 + 24*p**2 - 36*p.
-3*p*(p - 2)**2*(p + 3)
Factor -2*n**3/11 + 460*n**2/11 + 928*n/11.
-2*n*(n - 232)*(n + 2)/11
Let -j**5/3 - 14*j**4/3 - 73*j**3/3 - 172*j**2/3 - 176*j/3 - 64/3 = 0. Calculate j.
-4, -1
Factor r**4/3 - 3*r**2.
r**2*(r - 3)*(r + 3)/3
Factor -4*l**4 + 72*l**3 - 112*l**2 - 288*l + 512.
-4*(l - 16)*(l - 2)**2*(l + 2)
Suppose -2*t**4 + 856*t**3 - 92444*t**2 + 182328*t - 90738 = 0. Calculate t.
1, 213
Factor s**3/7 + 206*s**2/7 + 29*s - 410/7.
(s - 1)*(s + 2)*(s + 205)/7
Determine o so that 4*o**4 - 56*o**3 + 212*o**2 - 304*o + 144 = 0.
1, 2, 9
Suppose 2*u**2/9 + 14*u/3 - 260/9 = 0. Calculate u.
-26, 5
Factor -v**3/6 - 47*v**2/6 - 575*v/6 - 529/6.
-(v + 1)*(v + 23)**2/6
Factor 3*z**2 + 183*z - 378.
3*(z - 2)*(z + 63)
Factor -45*j**4 - 75*j**3 - 35*j**2 - 5*j.
-5*j*(j + 1)*(3*j + 1)**2
Let 2*s**3/9 - 10*s**2/9 - 184*s/9 + 64/3 = 0. Calculate s.
-8, 1, 12
Factor -5*m**4 + 40*m**2 - 80.
-5*(m - 2)**2*(m + 2)**2
Let -2*k**4 + 122*k**3 - 238*k**2 + 118*k = 0. What is k?
0, 1, 59
Factor z**3 - 1373*z**2 + 2743*z - 1371.
(z - 1371)*(z - 1)**2
Factor z**2/2 - 159*z + 25281/2.
(z - 159)**2/2
Factor -3*p**3/2 + 417*p**2 + 1677*p/2 + 420.
-3*(p - 280)*(p + 1)**2/2
Find q such that 12*q**4/5 - 28*q**3/5 - 72*q**2/5 - 32*q/5 = 0.
-1, -2/3, 0, 4
Suppose -g**5/8 - 3*g**4/8 + g**3/8 + 3*g**2/8 = 0. What is g?
-3, -1, 0, 1
What is i in i**3 + 31*i**2 + 86*i + 56 = 0?
-28, -2, -1
Find m such that -3*m**3/7 + 171*m/7 + 24 = 0.
-7, -1, 8
Suppose d**3/5 - 104*d**2/5 + 2704*d/5 = 0. What is d?
0, 52
Factor 2*l**2/7 + 1040*l/7 + 1038/7.
2*(l + 1)*(l + 519)/7
Factor u**5 - u**3.
u**3*(u - 1)*(u + 1)
Factor -18*z**4/7 + 4*z**3/7.
-2*z**3*(9*z - 2)/7
Solve -2*f**5/5 + 2*f**4/5 + 2*f**3 - 2*f**2 - 8*f/5 + 8/5 = 0 for f.
-2, -1, 1, 2
Find k, given that 4*k**4 - 24*k**3 - 4*k**2 + 24*k = 0.
-1, 0, 1, 6
Factor 3*w**2/5 - 47*w/5 + 6.
(w - 15)*(3*w - 2)/5
Solve -14*l**5/3 - 32*l**4/3 + 874*l**3/3 + 84*l**2 = 0.
-9, -2/7, 0, 7
Suppose 8*v**5 - 2*v**4 - 26*v**3 + 20*v**2 = 0. What is v?
-2, 0, 1, 5/4
Factor r**2/7 - 5842*r/7 + 8532241/7.
(r - 2921)**2/7
Factor -3*q**4/8 - 3*q**3/4 - 3*q**2/8.
-3*q**2*(q + 1)**2/8
Solve -2*z**5 - 50*z**4 - 356*z**3 - 276*z**2 + 3366*z + 6534 = 0.
-11, -3, 3
Let -2*q**5/3 + 4*q**4/3 + 4*q**3 - 16*q**2/3 - 10*q/3 + 4 = 0. Calculate q.
-2, -1, 1, 3
Factor 3*m**3/4 - 9*m**2/4 + 3*m/2.
3*m*(m - 2)*(m - 1)/4
What is a in 2*a**3/5 + 92*a**2/5 + 982*a/5 + 1612/5 = 0?
-31, -13, -2
Find q such that 22*q**5 - 598*q**4 + 108*q**3 = 0.
0, 2/11, 27
Factor 4*y**2 - 344*y - 348.
4*(y - 87)*(y + 1)
Factor -5*w**4 + 5*w**3 + 5*w**2 - 5*w.
-5*w*(w - 1)**2*(w + 1)
Find v such that 26*v**3/11 - 46*v**2/11 + 14*v/11 + 6/11 = 0.
-3/13, 1
Factor 11*p**2/3 - 69*p - 38/3.
(p - 19)*(11*p + 2)/3
Factor 20*x**2 - 788*x + 312.
4*(x - 39)*(5*x - 2)
Factor -2*k**3/17 - 24*k**2/17 + 512/17.
-2*(k - 4)*(k + 8)**2/17
Factor -5*q**4 - 115*q**3 + 375*q**2 - 385*q + 130.
-5*(q - 1)**3*(q + 26)
Determine t, given that -3*t**3 + 75*t**2 + 162*t = 0.
-2, 0, 27
Solve 20*n**4 - 772*n**3 - 332*n**2 + 772*n + 312 = 0.
-1, -2/5, 1, 39
Suppose -2*i**5/5 + 6*i**4/5 + 4*i**3/5 - 12*i**2/5 - 2*i/5 + 6/5 = 0. Calculate i.
-1, 1, 3
Solve 2*w**5/3 - 2*w**4/3 - 130*w**3/3 - 446*w**2/3 - 520*w/3 - 200/3 = 0.
-5, -2, -1, 10
Factor 9*t**4/2 + t**3.
t**3*(9*t + 2)/2
Factor -11*x**3 - 7*x**2 + 40*x + 36.
-(x - 2)*(x + 1)*(11*x + 18)
Factor -6*z**2/13 + 412*z/13 + 138/13.
-2*(z - 69)*(3*z + 1)/13
Suppose -2*z**2/11 - 18*z/11 + 4 = 0. Calculate z.
-11, 2
Determine p, given that 28*p**5/17 + 86*p**4/17 - 106*p**3/17 - 8*p**2/17 = 0.
-4, -1/14, 0, 1
Determine q so that 2*q**3/7 - 78*q**2/7 + 1014*q/7 - 4394/7 = 0.
13
Solve -g**5/2 - 37*g**4/8 - 101*g**3/8 - 83*g**2/8 - 15*g/8 = 0 for g.
-5, -3, -1, -1/4, 0
Factor -k**3/4 - 46*k**2 - 2613*k - 42588.
-(k + 28)*(k + 78)**2/4
Determine s, given that s**4 - 13*s**3 + 60*s**2 - 112*s + 64 = 0.
1, 4
Suppose 2*l**4/15 + 112*l**3/15 + 736*l**2/5 + 3584*l/3 + 10240/3 = 0. Calculate l.
-20, -8
Determine n so that 2*n**2 + 182*n - 6372 = 0.
-118, 27
Suppose 4*y**3 + 621*y**2 - 1101*y - 314 = 0. Calculate y.
-157, -1/4, 2
Factor -m**3/5 - 167*m**2/5 - 7371*m/5 - 6561.
-(m + 5)*(m + 81)**2/5
Factor -2*j**4 - 266*j**3 - 11610*j**2 - 157950*j + 364500.
-2*(j - 2)*(j + 45)**3
What is u in 220*u**4/9 + 1712*u**3/9 - 400*u**2/9 - 128*u/9 = 0?
-8, -2/11, 0, 2/5
Factor 3*n**3/4 - 111*n**2/4 + 1269*n/4 - 4617/4.
3*(n - 19)*(n - 9)**2/4
Factor 3*g**2 - 54*g + 51.
3*(g - 17)*(g - 1)
Solve g**5 - 138*g**4 - 420*g**3 - 422*g**2 - 141*g = 0.
-1, 0, 141
Factor -2*p**4 + 4*p**3 + 22*p**2 - 24*p - 72.
-2*(p - 3)**2*(p + 2)**2
Factor -3*f**3/2 - 11553*f**2/2 + 23115*f/2 - 11559/2.
-3*(f - 1)**2*(f + 3853)/2
Factor -2*h**4/21 + 2*h**3/21 + 4*h**2/7.
-2*h**2*(h - 3)*(h + 2)/21
Find l, given that -1683*l**5 + 1779*l**4 - 84*l**3 - 12*l**2 = 0.
-2/33, 0, 2/17, 1
Determine j so that 5*j**4 - 49*j**3 + 150*j**2 - 128*j - 32 = 0.
-1/5, 2, 4
Factor -d**2/2 - d + 3/2.
-(d - 1)*(d + 3)/2
Solve -585*g**5 + 590*g**4 + 1750*g**3 - 600*g**2 - 1165*g + 10 = 0.
-1, 1/117, 1, 2
Let 4*b**2 + 192*b + 2304 = 0. What is b?
-24
What is q in 2*q**5 + 36*q**4 - 386*q**3 + 796*q**2 + 384*q - 832 = 0?
-26, -1, 1, 4
Factor -2*d**3 - 12*d**2 + 64.
-2*(d - 2)*(d + 4)**2
Suppose -4*n**5/9 - 26*n**4/9 + 152*n**3/9 + 106*n**2/9 - 148*n/9 - 80/9 = 0. What is n?
-10, -1, -1/2, 1, 4
Factor -2*v**3/17 - 86*v**2/17 - 592*v/17 - 1120/17.
-2*(v + 4)**2*(v + 35)/17
Factor -3*d**3/5 + 24*d**2/5 + 1092*d/5 - 2352.
-3*(d - 14)**2*(d + 20)/5
Factor -4*f**2 - 92*f - 88.
-4*(f + 1)*(f + 22)
Suppose -n**4/3 - n**3/3 + 31*n**2/3 + 61*n/3 + 10 = 0. Calculate n.
-5, -1, 6
Determine h, given that 4*h**3 - 76*h**2 - 456*h - 576 = 0.
-3, -2, 24
Find c such that -10*c**3/9 - 74*c**2/9 - 28*c/9 = 0.
-7, -2/5, 0
Factor 2*z**3/17 - 682*z**2/17 + 3368*z/17 - 2688/17.
2*(z - 336)*(z - 4)*(z - 1)/17
Factor -2*s**2/5 + 5572*s/5 - 3880898/5.
-2*(s - 1393)**2/5
Let -2*k**2 - 430*k + 1308 = 0. What is k?
-218, 3
Determine d, given that -4*d**3 - 68*d**2 + 320*d - 336 = 0.
-21, 2
What is l in -l**3/2 - 91*l**2/2 - 1012*l + 1058 = 0?
-46, 1
Factor 4964*h**2/3 + 448*h/3 - 16/3.
4*(17*h + 2)*(73*h - 2)/3
Determine p so that -p**2 - 8*p - 12 = 0.
-6, -2
Factor 2*u**4 - 20*u**3 + 26*u**2 + 48*u.
2*u*(u - 8)*(u - 3)*(u + 1)
Factor 5*u**4 - 65*u**3 + 55*u**2 + 65*u - 60.
5*(u - 12)*(u - 1)**2*(u + 1)
Suppose -5*i**5 - 100*i**4 - 620*i**3 - 770*i**2 + 3185*i + 3430 = 0. Calculate i.
-7, -1, 2
Factor u**3 + 3657*u**2 + 3345240*u + 3341584.
(u + 1)*