**3/5 - 744*x**2/5 = 0.
-1/2, 0, 372
Determine k so that -2*k**2 + 1688*k - 356168 = 0.
422
Solve -2*u**5/9 - 20*u**4/9 + 190*u**3/9 + 2000*u**2/9 - 4480*u/9 - 50176/9 = 0.
-8, 7
Solve 2*q**2/5 - 12*q = 0.
0, 30
Factor -2*a**4 + 60*a**3 + 502*a**2 + 624*a - 1184.
-2*(a - 37)*(a - 1)*(a + 4)**2
Find t such that -2*t**3/5 + 14*t**2/5 + 8*t/5 - 56/5 = 0.
-2, 2, 7
Let 147*p**5 - 2877*p**4 + 19248*p**3 - 47352*p**2 + 22608*p - 3024 = 0. What is p?
2/7, 6, 7
Suppose -4*p**2/3 - 124*p + 4120/3 = 0. What is p?
-103, 10
What is l in -4*l**4 + 28*l**3 + 396*l**2 - 28*l - 392 = 0?
-7, -1, 1, 14
Factor -6*i**3/5 + 6*i**2 + 6*i/5 - 6.
-6*(i - 5)*(i - 1)*(i + 1)/5
Factor -216*m**4/5 - 2484*m**3/5 - 1062*m**2 - 835*m - 225.
-(m + 9)*(6*m + 5)**3/5
Factor 4*j**3/3 + 92*j**2 + 2116*j + 48668/3.
4*(j + 23)**3/3
Determine k, given that 3*k**5 + 9*k**4 - 9*k**3 - 21*k**2 + 18*k = 0.
-3, -2, 0, 1
Let h**5 - 14*h**4 + 19*h**3 + 166*h**2 - 92*h - 440 = 0. What is h?
-2, 2, 5, 11
Factor 44*k**3 + 36*k**2 - 96*k + 16.
4*(k - 1)*(k + 2)*(11*k - 2)
Let -4*n**2/5 + 312*n/5 = 0. Calculate n.
0, 78
Factor -5*z**4 - 5*z**3 + 30*z**2 + 20*z - 40.
-5*(z - 2)*(z - 1)*(z + 2)**2
Determine i, given that -27*i**2/5 + 327*i/5 + 312/5 = 0.
-8/9, 13
Let 3*c**5 - 51*c**4 + 264*c**3 - 600*c**2 + 624*c - 240 = 0. Calculate c.
1, 2, 10
Factor k**5/2 + 3*k**4/2 + k**3/2 - 3*k**2/2 - k.
k*(k - 1)*(k + 1)**2*(k + 2)/2
Factor i**4 + 53*i**3 + 903*i**2 + 4851*i.
i*(i + 11)*(i + 21)**2
Let 4*o**5/7 + 32*o**4/7 - 20*o**3/7 - 160*o**2/7 + 16*o/7 + 128/7 = 0. What is o?
-8, -2, -1, 1, 2
Factor -7*w**2/8 - 237*w/4 + 17.
-(w + 68)*(7*w - 2)/8
Factor -l**4 - 24*l**3 - 199*l**2 - 624*l - 448.
-(l + 1)*(l + 7)*(l + 8)**2
Let m**3/7 - 12*m**2/7 - 153*m/7 - 20 = 0. What is m?
-7, -1, 20
Solve -4*k**4/5 - 48*k**3/5 - 36*k**2/5 + 88*k/5 = 0.
-11, -2, 0, 1
Factor p**2/6 - 45*p/2 + 66.
(p - 132)*(p - 3)/6
Find z such that 6*z**4/11 - 4522*z**3/11 - 1508*z**2/11 = 0.
-1/3, 0, 754
Solve -2*a**5 - 360*a**4 - 16556*a**3 - 32040*a**2 - 15842*a = 0.
-89, -1, 0
Suppose 3*v**4/8 - 101*v**3/8 + 149*v**2/8 + 349*v/8 + 12 = 0. What is v?
-1, -1/3, 3, 32
Factor 14*v**3/15 + 584*v**2/15 + 2002*v/5 - 588/5.
2*(v + 21)**2*(7*v - 2)/15
Factor 2*x**5/7 + 8*x**4/7 - 24*x**3/7 - 108*x**2/7 + 54*x/7 + 324/7.
2*(x - 3)*(x - 2)*(x + 3)**3/7
Factor 2*f**2 + 12*f.
2*f*(f + 6)
Let -2*b**5/7 + 24*b**4/7 - 66*b**3/7 - 68*b**2/7 + 24*b + 144/7 = 0. What is b?
-1, 2, 6
Determine x so that 290*x**3 - 1155*x**2 + 850*x + 15 = 0.
-1/58, 1, 3
Factor 4*g**3 + 1944*g**2 + 236196*g.
4*g*(g + 243)**2
Solve -u**4 + 2*u**3/3 + 21*u**2 - 34*u + 40/3 = 0 for u.
-5, 2/3, 1, 4
Determine m, given that 3*m**2 - 1194*m + 3555 = 0.
3, 395
Suppose t**4/4 - 13*t**3/4 - 15*t**2/2 = 0. Calculate t.
-2, 0, 15
Factor -g**4 - 15*g**3 + 189*g**2 - 621*g + 648.
-(g - 3)**3*(g + 24)
Factor 26*i**3/5 + 22*i**2/5 - 56*i/5 + 8/5.
2*(i - 1)*(i + 2)*(13*i - 2)/5
Suppose s**5 - 486*s**4 + 78732*s**3 - 4251528*s**2 = 0. Calculate s.
0, 162
Let 15*l**5 - 115*l**4 + 295*l**3 - 345*l**2 + 190*l - 40 = 0. What is l?
2/3, 1, 4
Solve -4*r**4 - 16*r**3 + 28*r**2 + 136*r + 96 = 0.
-4, -2, -1, 3
Factor -5*t**2 - 45*t + 110.
-5*(t - 2)*(t + 11)
Find w, given that -5*w**3 + 1200*w**2 + 14940*w + 45360 = 0.
-6, 252
Factor w**5.
w**5
Factor -3*d**3 - 87*d**2 - 165*d - 81.
-3*(d + 1)**2*(d + 27)
Factor -28*u**3 + 125*u**2 - 37*u - 60.
-(u - 4)*(u - 1)*(28*u + 15)
Let 3*i**3/5 - 99*i**2/5 + 513*i/5 - 729/5 = 0. Calculate i.
3, 27
Factor -2*k**4/19 - 4*k**3/19 + 4*k/19 + 2/19.
-2*(k - 1)*(k + 1)**3/19
Solve -2*r**5 - 10*r**4 - 14*r**3 - 6*r**2 = 0.
-3, -1, 0
Find r, given that 4*r**4 + 104*r**3 + 348*r**2 - 104*r - 352 = 0.
-22, -4, -1, 1
Find h such that 4*h**5 + 4*h**4 - 52*h**3 - 4*h**2 + 192*h - 144 = 0.
-3, 1, 2
What is s in s**3/2 - 13*s**2/2 + 23*s/2 - 11/2 = 0?
1, 11
Factor -64*v**3 + 32*v**2 + 1116*v + 1620.
-4*(v - 5)*(4*v + 9)**2
Solve 4*q**4 + 112*q**3 - 1420*q**2 + 3800*q = 0.
-38, 0, 5
Let 2*l**4 + 26*l**3 + 84*l**2 + 16*l - 128 = 0. What is l?
-8, -4, -2, 1
Let -33*g**4 - 402*g**3 - 633*g**2 + 888*g + 180 = 0. What is g?
-10, -3, -2/11, 1
Factor -39*z**2 + 231*z - 342.
-3*(z - 3)*(13*z - 38)
Factor -4*v**2/9 - 44*v/9 + 104/9.
-4*(v - 2)*(v + 13)/9
Find c, given that -5*c**5 + 23*c**4 + 25*c**3 - 59*c**2 - 76*c - 20 = 0.
-1, -2/5, 2, 5
Find l such that -6*l**3/5 + 58*l**2/5 - 24*l + 56/5 = 0.
2/3, 2, 7
Factor -m**4/3 - 17*m**3/3 + 8*m**2 + 336*m.
-m*(m - 7)*(m + 12)**2/3
Determine u so that 784*u**5 - 29358*u**4 - 16834*u**3 + 13012*u**2 - 600*u - 304 = 0.
-1, -1/8, 2/7, 38
Factor -2*a**3 + 6*a + 4.
-2*(a - 2)*(a + 1)**2
Let -2*g**3/11 - 24*g**2/11 - 58*g/11 - 36/11 = 0. What is g?
-9, -2, -1
Determine a so that 2*a**2/3 - 12*a + 34/3 = 0.
1, 17
Suppose 3*n**3 + 6*n**2 - 9*n = 0. What is n?
-3, 0, 1
Factor 2*h**2/9 - 1876*h/3.
2*h*(h - 2814)/9
Let 2*p**3 + 20*p**2 + 54*p + 36 = 0. Calculate p.
-6, -3, -1
Find q such that -8*q**5/3 + 94*q**4 - 2374*q**3/3 + 1632*q**2 + 1944*q - 576 = 0.
-1, 1/4, 6, 24
Suppose -14*o**3 - 20*o**2 + 14*o + 20 = 0. Calculate o.
-10/7, -1, 1
Factor -x**3 + 385*x**2 - 36863*x - 37249.
-(x - 193)**2*(x + 1)
Factor 79507*k**3/11 - 16641*k**2/11 + 1161*k/11 - 27/11.
(43*k - 3)**3/11
Factor 3*k**3/2 + 6*k**2 - 75*k/2 - 42.
3*(k - 4)*(k + 1)*(k + 7)/2
Suppose -3*g**5/4 - 15*g**4/4 - 15*g**3/4 + 15*g**2/4 + 9*g/2 = 0. What is g?
-3, -2, -1, 0, 1
Factor q**2/5 + 2*q/5 + 1/5.
(q + 1)**2/5
Determine l, given that -4*l**5 + 14*l**4 - 12*l**3 - 2*l**2 + 4*l = 0.
-1/2, 0, 1, 2
Factor 4*j**4 + 40*j**3 + 128*j**2 + 128*j.
4*j*(j + 2)*(j + 4)**2
Suppose -u**4/4 + 11*u**3/4 - 6*u**2 - u + 8 = 0. Calculate u.
-1, 2, 8
Factor -3*p**2 - 6*p.
-3*p*(p + 2)
Factor -3*i**3/2 + 9*i**2/2 + 9*i - 12.
-3*(i - 4)*(i - 1)*(i + 2)/2
Factor -225*q**2 + 165*q/2 - 5/2.
-5*(3*q - 1)*(30*q - 1)/2
Determine w, given that 3*w**2/5 + 6*w - 72/5 = 0.
-12, 2
Factor -3*u**3 - 36*u**2 - 108*u.
-3*u*(u + 6)**2
What is t in -27*t**5 + 75*t**4 + 4689*t**3 + 17481*t**2 - 17514*t - 4704 = 0?
-7, -2/9, 1, 16
Factor 2*u**5/5 - 16*u**4/5 + 14*u**3/5.
2*u**3*(u - 7)*(u - 1)/5
Factor 4*x**3 + 60*x**2 + 156*x - 220.
4*(x - 1)*(x + 5)*(x + 11)
Find q such that 14*q**3/19 + 290*q**2/19 - 392*q/19 + 88/19 = 0.
-22, 2/7, 1
Determine a, given that 2*a**5 - 11*a**4/2 - 7*a**3/2 + 11*a**2/2 + 3*a/2 = 0.
-1, -1/4, 0, 1, 3
Find p such that p**4/6 - 13*p**3/6 - 5*p**2/2 + 13*p/6 + 7/3 = 0.
-1, 1, 14
Suppose 3*f**4/2 - 399*f**3/2 - 1215*f**2/2 - 1221*f/2 - 204 = 0. What is f?
-1, 136
Let -o**3/2 + 969*o**2/4 - 725*o/2 + 483/4 = 0. Calculate o.
1/2, 1, 483
Factor -4*n**2 + 856*n.
-4*n*(n - 214)
Suppose -t**3 + 243*t**2 - 16416*t + 194940 = 0. What is t?
15, 114
Solve -6*a**5/5 - 3*a**4/5 + 18*a**3/5 + 21*a**2/5 + 6*a/5 = 0.
-1, -1/2, 0, 2
Factor -2*w**2/11 - 146*w/11 + 300/11.
-2*(w - 2)*(w + 75)/11
Let 4*k**2/7 + 720*k/7 = 0. Calculate k.
-180, 0
Factor -2*z**3/5 - 242*z**2/5 + 244*z/5.
-2*z*(z - 1)*(z + 122)/5
Suppose -32*b**3/5 - 12304*b**2/5 + 6158*b/5 - 154 = 0. What is b?
-385, 1/4
Let -4*p**2 + 68*p = 0. Calculate p.
0, 17
Factor -2*m**4 - 4*m**3 + 78*m**2 - 136*m + 64.
-2*(m - 4)*(m - 1)**2*(m + 8)
Factor -r**2/3 - 1325*r/3 - 882.
-(r + 2)*(r + 1323)/3
Factor -2*c**3 - 26*c**2 - 84*c.
-2*c*(c + 6)*(c + 7)
Factor -4*o**2 + 328*o - 2880.
-4*(o - 72)*(o - 10)
Factor -3*n**3/2 - 69*n**2/2.
-3*n**2*(n + 23)/2
Suppose 5*c**2 + 180*c + 1215 = 0. What is c?
-27, -9
Factor o**2 + 16*o - 17.
(o - 1)*(o + 17)
Let -2*c**4 + 2*c**3 + 28*c**2 - 48*c = 0. What is c?
-4, 0, 2, 3
Factor -12*g**2/7 - 878*g/7 - 146/7.
-2*(g + 73)*(6*g + 1)/7
Factor m**2/4 - 1655*m/2 + 2739025/4.
(m - 1655)**2/4
Factor i**3 + 15*i**2/2 - 29*i/2 - 9.
(i - 2)*(i + 9)*(2*i + 1)/2
Find f, given that 3*f**4 - 63*f**3 - 54*f**2 + 5628*f - 10584 = 0.
-9, 2, 14
Factor 2*o**4 + 4*o**3 - 2*o**2 - 4*o.
2*o*(o - 1)*(o + 1)*(o + 2)
Find q, given that 4*q**4 - 140*q**3 + 132*q**2 + 140*q - 136 = 0.
-1, 1, 34
Find s such that 10*s**2/7 - 34*s/7 + 12/7 = 0.
2/5, 3
Factor -3*a**4/4 - 24*a**3 - 138*a**2 + 864*a - 972.
-3*(a - 2)**2*(a + 18)**2/4
Factor -n**2/3 - n/3 + 2/3.
-(n - 1)*(n + 2)/3
Factor -j**2/2 + 91*j - 8281/2.
-(j - 91)**2/2
Factor 28*h**2 + 1228*h - 176.
4*(h + 44)*(7*h - 1)
Factor 15*d**4 + 155*d**3 - 55*d**2 - 2975*d - 980.
5*(d - 4)