at 9*q**5/4 + 93*q**4/4 + 69*q**3 + 60*q**2 - 24*q - 36 = 0.
-6, -2, -1, 2/3
Factor -5*f**3 - 65*f**2 - 195*f - 135.
-5*(f + 1)*(f + 3)*(f + 9)
Factor 4*g**3 - 12*g**2 - 16*g + 48.
4*(g - 3)*(g - 2)*(g + 2)
Determine d so that -2*d**3/23 + 36*d**2/23 = 0.
0, 18
Factor -20*w**4 + 112*w**3 - 4*w**2 - 280*w.
-4*w*(w - 5)*(w - 2)*(5*w + 7)
Determine d, given that d**4 - 97*d**3 - 400*d**2 - 404*d = 0.
-2, 0, 101
Let -5*s**2/4 + 5355*s - 5735205 = 0. Calculate s.
2142
Factor -20*q**2 + 85*q + 75.
-5*(q - 5)*(4*q + 3)
Factor -5*q**3 - 590*q**2 - 16800*q + 36000.
-5*(q - 2)*(q + 60)**2
Factor -3*b**3 - 15*b**2 - 21*b - 9.
-3*(b + 1)**2*(b + 3)
Suppose -3*f**2/2 + 117*f/2 - 111 = 0. Calculate f.
2, 37
Suppose -2*g**5 + 1280*g**4 = 0. Calculate g.
0, 640
Find w, given that -2*w**5/5 + 2*w**4 - 2*w**3 - 2*w**2 + 12*w/5 = 0.
-1, 0, 1, 2, 3
Find q such that -3*q**2/4 + 69*q/4 - 63/2 = 0.
2, 21
Suppose -470448*x**4 + 632016*x**3 - 163164*x**2 + 1600*x - 4 = 0. What is x?
1/198, 1/3, 1
Factor -8*l**2 + 378*l - 94.
-2*(l - 47)*(4*l - 1)
What is v in 7*v**3 - 40*v**2 + 69*v - 36 = 0?
1, 12/7, 3
Factor n**3/3 - 8*n**2/3 - 4*n/3 + 32/3.
(n - 8)*(n - 2)*(n + 2)/3
Let f**3/4 + 5*f**2 + 17*f/4 - 19/2 = 0. What is f?
-19, -2, 1
Suppose -3*h**4/7 - 16*h**3/7 - 11*h**2/7 + 22*h/7 + 8/7 = 0. Calculate h.
-4, -2, -1/3, 1
Factor q**5 - 8*q**4 + 21*q**3 - 18*q**2.
q**2*(q - 3)**2*(q - 2)
Factor 28*l**3 + 520*l**2 - 832*l - 640.
4*(l - 2)*(l + 20)*(7*l + 4)
Find w such that 5*w**3/3 - 19*w**2/6 + 7*w/6 = 0.
0, 1/2, 7/5
Factor -5*w**2 + 550*w - 15125.
-5*(w - 55)**2
Factor -6*y**3 - 10*y**2 + 176*y + 120.
-2*(y - 5)*(y + 6)*(3*y + 2)
Let a**5/5 - a**4 - 6*a**3/5 + 54*a**2/5 - 27*a/5 - 81/5 = 0. What is a?
-3, -1, 3
Find t, given that -39366*t**3 - 8748*t**2 - 648*t - 16 = 0.
-2/27
Determine w so that -3*w**3/7 - 5793*w**2/7 - 2799465*w/7 - 2793675/7 = 0.
-965, -1
What is r in -2*r**3/9 + 2*r/3 + 4/9 = 0?
-1, 2
Find l such that 10*l**3 + 5*l**2 - 15*l = 0.
-3/2, 0, 1
Factor -2*f**4/5 - 918*f**3/5 - 106704*f**2/5 - 311904*f/5.
-2*f*(f + 3)*(f + 228)**2/5
Factor 28*i**5 - 20*i**4 - 92*i**3 + 116*i**2 - 16*i - 16.
4*(i - 1)**3*(i + 2)*(7*i + 2)
Let 2*n**3/5 + 18*n**2/5 - 4*n = 0. What is n?
-10, 0, 1
Factor -5*w**4 - 25*w**3 - 35*w**2 - 15*w.
-5*w*(w + 1)**2*(w + 3)
Factor -h**2 + 9*h + 22.
-(h - 11)*(h + 2)
Solve 5*d**4 + 3560*d**3 + 950520*d**2 + 112795040*d + 5019379280 = 0.
-178
Solve -4*h**5 + 28*h**4 + 32*h**3 = 0.
-1, 0, 8
What is d in -147*d**5 - 210*d**4 + 744*d**3 + 816*d**2 - 624*d + 96 = 0?
-2, 2/7, 2
What is b in 5*b**4 - 100*b**3 - 80*b**2 + 1600*b = 0?
-4, 0, 4, 20
Suppose 3*v**3 - 237*v**2 + 2574*v = 0. What is v?
0, 13, 66
Determine m, given that 4*m**5 - 12*m**4 - 124*m**3 + 44*m**2 + 312*m - 224 = 0.
-4, -2, 1, 7
Find p, given that 10*p**5 + 195*p**4 + 440*p**3 + 250*p**2 - 90*p - 85 = 0.
-17, -1, 1/2
Determine a so that a**3 + 12*a**2 - 256 = 0.
-8, 4
Factor 2*p**2/5 - 22*p/5.
2*p*(p - 11)/5
Find n such that -10*n**4 + 36*n**3 + 26*n**2 - 36*n - 16 = 0.
-1, -2/5, 1, 4
Let -q**2/4 - 23*q/2 - 45/4 = 0. What is q?
-45, -1
Let -2*h**3 - 4*h**2 + 270*h + 792 = 0. Calculate h.
-11, -3, 12
Solve -2*l**3/11 + 12*l**2/11 + 2*l/11 - 12/11 = 0.
-1, 1, 6
Factor -4*n**4 - 40*n**3 - 28*n**2 + 72*n.
-4*n*(n - 1)*(n + 2)*(n + 9)
Factor 5*a**3/4 - 55*a**2 + 1965*a/4 - 2475/2.
5*(a - 33)*(a - 6)*(a - 5)/4
Factor v**5/4 + 17*v**4/2 + 321*v**3/4 + 136*v**2 + 64*v.
v*(v + 1)**2*(v + 16)**2/4
Solve -3*w**5 + 60*w**4 - 105*w**3 - 60*w**2 + 108*w = 0.
-1, 0, 1, 2, 18
Let 2*n**3 + 490*n**2 + 30256*n + 29768 = 0. Calculate n.
-122, -1
Factor j**4/5 - 4*j**3 + 36*j**2/5.
j**2*(j - 18)*(j - 2)/5
Factor 5*l**2 - 55*l + 50.
5*(l - 10)*(l - 1)
Find x, given that -5*x**2 - 45*x + 680 = 0.
-17, 8
Factor 45*g**3 + 505*g**2 + 560*g + 100.
5*(g + 1)*(g + 10)*(9*g + 2)
Suppose 5*s**2 - 330*s - 3375 = 0. What is s?
-9, 75
Factor 2*a**3/11 + 4*a**2 + 22*a.
2*a*(a + 11)**2/11
Find u such that 2*u**4/3 + 4*u**3 + 22*u**2/3 + 4*u = 0.
-3, -2, -1, 0
Suppose -4*k**4 + 26*k**3/3 - 2*k**2/3 - 26*k/3 + 14/3 = 0. What is k?
-1, 1, 7/6
Factor 3*b**2 - 192*b + 3072.
3*(b - 32)**2
Factor 768*m**3 + 5664*m**2 + 12699*m + 7803.
3*(m + 1)*(16*m + 51)**2
Let 2*a**4/7 - 68*a**3/7 - 304*a**2/7 = 0. Calculate a.
-4, 0, 38
Suppose -x**5 - 56*x**4 - 943*x**3 - 5352*x**2 - 4464*x = 0. What is x?
-31, -12, -1, 0
Factor -200*z**2/3 - 4120*z/3 - 21218/3.
-2*(10*z + 103)**2/3
Find k, given that -k**3 - 17*k**2 + k + 17 = 0.
-17, -1, 1
Factor 2*v**5 + 6*v**4 + 2*v**3 - 6*v**2 - 4*v.
2*v*(v - 1)*(v + 1)**2*(v + 2)
Determine x, given that 176*x**5 + 938*x**4/5 - 1836*x**3/5 - 262*x**2/5 + 256*x/5 + 24/5 = 0.
-2, -3/8, -1/11, 2/5, 1
Suppose -21*c**4/4 - 54*c**3 + 717*c**2/4 - 81*c - 39 = 0. Calculate c.
-13, -2/7, 1, 2
Solve -3*h**4/5 - 3*h**3/5 + 18*h**2/5 + 12*h/5 - 24/5 = 0 for h.
-2, 1, 2
Factor -12*g**2 + 1240*g - 412.
-4*(g - 103)*(3*g - 1)
Suppose h**5/3 + 17*h**4/3 + 88*h**3/3 + 200*h**2/3 + 208*h/3 + 80/3 = 0. Calculate h.
-10, -2, -1
Factor -n**2 - 114*n - 3249.
-(n + 57)**2
Factor 2*o**5/7 + 10*o**4/7 + 8*o**3/7.
2*o**3*(o + 1)*(o + 4)/7
Factor -3*s**4 - 561*s**3.
-3*s**3*(s + 187)
Find z such that -8*z**4/9 + 182*z**3/9 + 166*z**2 - 1262*z/9 - 406/9 = 0.
-7, -1/4, 1, 29
Factor 7*v**3/8 - 4*v**2.
v**2*(7*v - 32)/8
Factor -2*k**2 + 74*k.
-2*k*(k - 37)
Let -o**4 + 17*o**3 + 37*o**2 + 19*o = 0. Calculate o.
-1, 0, 19
Let -2*c**4/9 + 4*c**3 - 1700*c/9 + 1750/3 = 0. Calculate c.
-7, 5, 15
Factor 3*q**3/5 + 261*q**2/5 + 1161*q + 5547/5.
3*(q + 1)*(q + 43)**2/5
Solve -n**4/2 - 3*n**3/2 + 5*n**2/2 + 3*n/2 - 2 = 0 for n.
-4, -1, 1
Find k such that -27*k**3 + 648*k**2 - 423*k + 70 = 0.
1/3, 70/3
Factor 7*d**5 - 65*d**4 + 74*d**3 - 16*d**2.
d**2*(d - 8)*(d - 1)*(7*d - 2)
Find x, given that 80*x**3 - 920*x**2 + 1925*x - 1125 = 0.
5/4, 9
Find d, given that d**5/8 - 281*d**4/8 + 559*d**3/8 - 279*d**2/8 = 0.
0, 1, 279
Suppose -4*n**5/3 - 16*n**4/9 + 8*n**3/9 + 16*n**2/9 + 4*n/9 = 0. Calculate n.
-1, -1/3, 0, 1
Factor -3*n**3 + 420*n**2 - 1644*n + 1632.
-3*(n - 136)*(n - 2)**2
Factor -2*d**2/9 + 16*d/9 - 14/9.
-2*(d - 7)*(d - 1)/9
Factor -i**5 + 8*i**4 - 6*i**3 - 8*i**2 + 7*i.
-i*(i - 7)*(i - 1)**2*(i + 1)
What is h in 2*h**5 - 10*h**4 + 12*h**3 + 8*h**2 - 16*h = 0?
-1, 0, 2
Factor -8*i**2 - 23688*i - 17535042.
-2*(2*i + 2961)**2
Find d such that -d**3/8 - 3*d**2/8 + d/2 + 3/2 = 0.
-3, -2, 2
Let 3*b**4 - 2709*b**3 + 818100*b**2 - 83430000*b + 243000000 = 0. What is b?
3, 300
Factor -4*c**5 - 48*c**4 - 192*c**3 - 256*c**2.
-4*c**2*(c + 4)**3
Solve -3*b**3/7 + 36*b**2 - 756*b = 0 for b.
0, 42
Factor -4*f**3 + 14*f**2 - 8*f - 8.
-2*(f - 2)**2*(2*f + 1)
Find a, given that 9*a**4 - 48*a**3 + 63*a**2 + 12*a - 36 = 0.
-2/3, 1, 2, 3
Factor 2*g**3 + 366*g**2 - 2648*g + 2280.
2*(g - 6)*(g - 1)*(g + 190)
What is u in 14*u**4/9 + 46*u**3/9 - 38*u**2/3 + 34*u/9 + 20/9 = 0?
-5, -2/7, 1
Factor -4*u**4 - 32*u**3 - 20*u**2 + 56*u.
-4*u*(u - 1)*(u + 2)*(u + 7)
Factor -4*k**3 + 80*k**2 + 92*k - 168.
-4*(k - 21)*(k - 1)*(k + 2)
Factor 20*k**3/11 + 2*k**2/11 - 18*k/11.
2*k*(k + 1)*(10*k - 9)/11
Solve -4*y**4 + 40*y**3 + 340*y**2 - 2200*y - 2496 = 0.
-8, -1, 6, 13
Factor -4*a**3 + 13316*a**2 - 11088896*a + 11075584.
-4*(a - 1664)**2*(a - 1)
Determine h so that h**5/4 - h**4 - 3*h**3/4 + 11*h**2/2 - h - 6 = 0.
-2, -1, 2, 3
Factor -2*v**3/15 + 2*v**2/5 + 44*v/15 - 16/5.
-2*(v - 6)*(v - 1)*(v + 4)/15
Factor 3*d**3 - 255*d**2 + 5544*d - 5292.
3*(d - 42)**2*(d - 1)
Factor -3*i**4 + 537*i**3 - 33768*i**2 + 837312*i - 5795328.
-3*(i - 56)**3*(i - 11)
Factor 3*c**3 - 714*c**2 + 43875*c - 164268.
3*(c - 117)**2*(c - 4)
What is x in 2*x**3/3 - 40*x**2/3 + 26*x/3 + 676 = 0?
-6, 13
Factor 4*u**2 + 36*u - 144.
4*(u - 3)*(u + 12)
Let -45*u**2/2 + 3*u = 0. Calculate u.
0, 2/15
Factor 2*a**4 + 12*a**3 + 10*a**2.
2*a**2*(a + 1)*(a + 5)
Find z such that -6*z**3/5 + 52*z**2/5 - 434*z/15 + 392/15 = 0.
7/3, 4
Factor 2*w**3/5 - 29*w**2/5 + 133*w/5 - 196/5.
(w - 7)*(w - 4)*(2*w - 7)/5
Factor -7*x**4/5 + 27*x**3/5 - 17*x**2/5 - 3*x/5.
-x*(x - 3)*(x - 1)*(7*x + 1)/5
Factor b**2/3 - 46*b/3 + 529/3.
(b - 23)**2/3
Factor x**3 - 113*x**2 + 534*x + 648.
(x - 108)*(x - 6)*(x + 1)
Determine j, given that -3*j**2/4 - 45*j/2 + 93/4 = 0.
-31, 1
Solve -2*d**2/17 - 2*d + 36/17 = 0.
