Factor u**2/4 + 323*u/2 + 104329/4.
(u + 323)**2/4
What is v in -4*v**3 + 308*v**2 = 0?
0, 77
Factor -5*a**2 - 325*a.
-5*a*(a + 65)
Suppose -r**3/3 - 40*r**2/3 - 107*r/3 + 148/3 = 0. What is r?
-37, -4, 1
Factor -21*v**4/4 - 9*v**3 + 3*v**2.
-3*v**2*(v + 2)*(7*v - 2)/4
Find a, given that -2*a**5/13 - 40*a**4/13 - 316*a**3/13 - 1232*a**2/13 - 2370*a/13 - 1800/13 = 0.
-5, -4, -3
Solve 2*k**4 + 60*k**3 - 262*k**2 + 336*k - 136 = 0.
-34, 1, 2
Solve 4*i**3 + 6076*i**2 - 12164*i + 6084 = 0.
-1521, 1
Factor -2*q**4 + 4864*q**3 - 3941460*q**2 + 1062877136*q + 1066823462.
-2*(q - 811)**3*(q + 1)
Factor -5*i**3 - 81*i**2 - 16*i.
-i*(i + 16)*(5*i + 1)
Factor 3*c**4 + 426*c**3 + 14691*c**2 - 30672*c + 15552.
3*(c - 1)**2*(c + 72)**2
Determine z, given that z**2 + 3346*z - 3347 = 0.
-3347, 1
Factor -2*k**2/7 - 944*k/7.
-2*k*(k + 472)/7
Find u, given that 2*u**4 + 61*u**3 + 447*u**2 + 179*u - 209 = 0.
-19, -11, -1, 1/2
Factor 5*s**2 - 1280*s + 81920.
5*(s - 128)**2
Determine c so that -c**3 + 4*c**2 + 437*c = 0.
-19, 0, 23
Factor q**2 + 5*q - 6.
(q - 1)*(q + 6)
Solve 5*a**2 - 850*a - 3480 = 0.
-4, 174
Factor -2*i**4/7 - 148*i**3/7 - 1898*i**2/7 + 4440*i - 12600.
-2*(i - 5)**2*(i + 42)**2/7
Factor 4*b**2 - 368*b + 8464.
4*(b - 46)**2
Find t, given that 27*t**4 + 1869*t**3 + 43263*t**2 + 338031*t + 73002 = 0.
-23, -2/9
Solve 55*w**2 - 710*w - 65 = 0.
-1/11, 13
Factor 185*k**3 + 742*k**2 + 748*k + 8.
(k + 2)**2*(185*k + 2)
Let 3*f**4/5 + 132*f**3/5 - 3654*f**2/5 + 27636*f/5 - 13377 = 0. What is f?
-65, 7
Factor -2*b**2/3 - 2476*b/3 - 766322/3.
-2*(b + 619)**2/3
Suppose -r**3 - 13*r**2 - 35*r + 49 = 0. What is r?
-7, 1
Factor -r**2/9 - 4*r/3 - 3.
-(r + 3)*(r + 9)/9
Factor d**2/4 + 4923*d/2 + 24235929/4.
(d + 4923)**2/4
Let -3*y**2 + 468*y - 18252 = 0. Calculate y.
78
Let 4*p**5 - 8*p**4 + 8*p**2 - 4*p = 0. What is p?
-1, 0, 1
Solve -25*i**5 + 55*i**4 - 42*i**3 + 68*i**2/5 - 8*i/5 = 0 for i.
0, 2/5, 1
Factor 4*i**3 - 984*i**2 - 988*i.
4*i*(i - 247)*(i + 1)
Suppose 4*a**4/7 + 32*a**3/7 - 12*a**2/7 - 248*a/7 + 32 = 0. What is a?
-7, -4, 1, 2
Factor -6*w**3 + 2*w**2 + 24*w - 8.
-2*(w - 2)*(w + 2)*(3*w - 1)
Factor 2*i**2/7 + 398*i/7.
2*i*(i + 199)/7
Find o such that -2*o**2/9 - 92*o/9 - 10 = 0.
-45, -1
Factor 2*c**3 - 42*c**2 - 98*c + 138.
2*(c - 23)*(c - 1)*(c + 3)
Factor 9*t**4 - 2*t**3 - 36*t**2 + 8*t.
t*(t - 2)*(t + 2)*(9*t - 2)
Factor 3*m**2 - 36*m + 108.
3*(m - 6)**2
Factor 2*p**4/7 - 6*p**3/7 - 4*p**2/7 + 24*p/7 - 16/7.
2*(p - 2)**2*(p - 1)*(p + 2)/7
Suppose -3*o**5 - 216*o**4 - 4608*o**3 - 24576*o**2 = 0. Calculate o.
-32, -8, 0
Find b such that -3*b**2 - 1347*b - 1344 = 0.
-448, -1
Factor l**2/10 - 5139*l/5 + 26409321/10.
(l - 5139)**2/10
Factor j**2/2 - 5*j + 21/2.
(j - 7)*(j - 3)/2
Find p such that -2*p**3/13 + 68*p**2/13 - 128*p/13 = 0.
0, 2, 32
Determine r so that 4*r**5 - 39*r**4 + 130*r**3 - 165*r**2 + 46*r + 24 = 0.
-1/4, 1, 2, 3, 4
Suppose 2*m**3/15 + 2*m**2 + 18*m/5 + 26/15 = 0. Calculate m.
-13, -1
Find a, given that 4*a**2 + 72*a + 180 = 0.
-15, -3
Determine r, given that r**5/4 + 9*r**4 + 205*r**3/2 + 375*r**2 + 1125*r/4 = 0.
-15, -5, -1, 0
Solve 12*l**5 - 148*l**4 + 588*l**3 - 780*l**2 + 200*l = 0.
0, 1/3, 2, 5
Factor -g**2 + 74*g - 1369.
-(g - 37)**2
Factor -27*w**2 + 18*w - 3.
-3*(3*w - 1)**2
Solve 735*i**4 + 9807*i**3 + 33672*i**2 + 6348*i = 0 for i.
-46/7, -1/5, 0
Suppose -5*z**4 + 100*z**3 - 180*z**2 = 0. Calculate z.
0, 2, 18
Factor 5*x**3/4 + 25*x**2/4 - 65*x/4 + 35/4.
5*(x - 1)**2*(x + 7)/4
Factor y**3 - 25*y**2.
y**2*(y - 25)
Solve -s**4/4 + 41*s**3/2 - 567*s**2 + 10935*s/2 - 19683/4 = 0.
1, 27
Find g, given that g**5/4 + g**4/4 - 19*g**3/2 + 31*g**2 - 38*g + 16 = 0.
-8, 1, 2
Suppose -4*z**4/5 + 124*z**3/5 - 44*z**2 - 348*z/5 = 0. What is z?
-1, 0, 3, 29
Factor -3*o**4/2 - 48*o**3 - 855*o**2/2 - 675*o.
-3*o*(o + 2)*(o + 15)**2/2
Suppose -b**5 + 16*b**4 - 59*b**3 + 44*b**2 = 0. What is b?
0, 1, 4, 11
Factor -v**2/5 - 2234*v/5 - 1247689/5.
-(v + 1117)**2/5
Suppose -p**4 + 16*p**3 + 17*p**2 = 0. Calculate p.
-1, 0, 17
Factor -2*q**3/17 + 2*q**2/17 + 130*q/17 - 450/17.
-2*(q - 5)**2*(q + 9)/17
Factor 5*g**4 + 30*g**3 + 15*g**2 - 50*g.
5*g*(g - 1)*(g + 2)*(g + 5)
Factor -3*g**3/2 + 105*g**2/2.
-3*g**2*(g - 35)/2
Factor -2*q**3 - 50*q**2 + 52*q.
-2*q*(q - 1)*(q + 26)
Factor -h**3/4 - 3*h**2 - 11*h/4.
-h*(h + 1)*(h + 11)/4
Let -2*z**5/9 + 260*z**4/9 - 13520*z**3/9 + 351520*z**2/9 - 4569760*z/9 + 23762752/9 = 0. What is z?
26
Let x**5/3 - 5*x**4/3 + 7*x**3/3 - x**2 = 0. What is x?
0, 1, 3
Factor -59*o**2 + 121*o - 6.
-(o - 2)*(59*o - 3)
Suppose -5*s**4/2 - 166*s**3 - 5577*s**2/2 - 1089*s = 0. Calculate s.
-33, -2/5, 0
Factor -p**2/2 + 14*p + 29/2.
-(p - 29)*(p + 1)/2
Factor 2*d**3/13 - 2*d**2/13 - 2*d/13 + 2/13.
2*(d - 1)**2*(d + 1)/13
Factor -2*j**3 + 12*j**2 - 16*j.
-2*j*(j - 4)*(j - 2)
Solve -5*w**4 - 45*w**3 - 30*w**2 + 80*w = 0 for w.
-8, -2, 0, 1
Solve 2*w**3/19 - 2*w**2/19 - 32*w/19 + 32/19 = 0.
-4, 1, 4
Determine s, given that 3*s**2 + 30*s - 72 = 0.
-12, 2
Factor -5*t**3 + 45*t**2 + 50*t.
-5*t*(t - 10)*(t + 1)
Factor -l**5/3 + 5*l**4/3 - 10*l**3/3 + 10*l**2/3 - 5*l/3 + 1/3.
-(l - 1)**5/3
Factor -m**3 - 8*m**2 + m + 8.
-(m - 1)*(m + 1)*(m + 8)
Factor n**2 - 42*n - 135.
(n - 45)*(n + 3)
Determine p, given that 4*p**5/3 + 88*p**4/3 + 128*p**3 - 88*p**2/3 - 1348*p/3 + 320 = 0.
-16, -5, -3, 1
Factor 4*w**3 + 60*w**2 - 964*w + 900.
4*(w - 9)*(w - 1)*(w + 25)
Factor -3*o**3/7 + 6*o**2/7 + 15*o/7 - 18/7.
-3*(o - 3)*(o - 1)*(o + 2)/7
Determine s so that -3*s**4 + 6*s**3 - 3*s**2 = 0.
0, 1
Suppose -35*x**4 - 290*x**3 - 640*x**2 - 160*x = 0. What is x?
-4, -2/7, 0
Factor -d**4/3 - d**3/3 + 2*d**2/3.
-d**2*(d - 1)*(d + 2)/3
Find b such that 2*b**2/13 + 22*b/13 + 48/13 = 0.
-8, -3
Find b, given that -b**5/7 + 5*b**4/7 + 33*b**3/7 + 31*b**2/7 - 32*b/7 - 36/7 = 0.
-2, -1, 1, 9
Factor -f**4/5 - f**3/5 + 76*f**2/5 - 28*f.
-f*(f - 7)*(f - 2)*(f + 10)/5
Factor 5*b**3 + 35*b**2 - 5*b - 35.
5*(b - 1)*(b + 1)*(b + 7)
Determine h, given that 21*h**4 + 155*h**3/6 + 9*h**2/2 - h/3 = 0.
-1, -2/7, 0, 1/18
Factor -4*s**3 + 404*s**2 - 13376*s + 144400.
-4*(s - 38)**2*(s - 25)
Factor -2*o**2/15 - 136*o/15 - 134/15.
-2*(o + 1)*(o + 67)/15
Determine q, given that -2*q**3 + 26*q**2 - 12*q - 144 = 0.
-2, 3, 12
Let 4*c**4 + 4*c**3 - 28*c**2 - 52*c - 24 = 0. What is c?
-2, -1, 3
Solve -m**3 - 29*m**2 + 100*m + 128 = 0.
-32, -1, 4
Find c such that c**3/10 + 47*c**2/10 + 91*c/10 + 9/2 = 0.
-45, -1
Solve -4*b**5 - 88*b**4 - 240*b**3 - 232*b**2 - 76*b = 0 for b.
-19, -1, 0
Factor k**2 + 4394*k.
k*(k + 4394)
Suppose 4*u**4 + 16*u**3 + 16*u**2 = 0. Calculate u.
-2, 0
Suppose -m**5/4 - 3*m**4/2 + 4*m**3 - m**2/2 - 15*m/4 + 2 = 0. What is m?
-8, -1, 1
Factor -2*m**2 + 298*m.
-2*m*(m - 149)
Factor r**4 - 36*r**3 + 133*r**2 - 162*r + 64.
(r - 32)*(r - 2)*(r - 1)**2
Let 4*u**4 + 48*u**3 - 52*u**2 = 0. Calculate u.
-13, 0, 1
Find d, given that -2*d**2/9 + 2*d/9 = 0.
0, 1
Suppose 4*f**4/3 - 79*f**3/3 - 25*f**2/3 + 100*f/3 = 0. Calculate f.
-5/4, 0, 1, 20
Suppose -y**3/2 - 4*y**2 - 19*y/2 - 6 = 0. What is y?
-4, -3, -1
Solve 3*q**3/7 - 603*q**2/7 - 1227*q/7 + 261 = 0 for q.
-3, 1, 203
Factor 14*a**2/5 - 456*a/5 + 256/5.
2*(a - 32)*(7*a - 4)/5
Solve -18*x**5 - 4*x**4 + 54*x**3 - 24*x**2 - 8*x = 0.
-2, -2/9, 0, 1
What is b in -2*b**2/5 + 30*b + 160 = 0?
-5, 80
Factor -2*c**3 - 3*c**2/4 + 27*c/4 + 11/2.
-(c - 2)*(c + 1)*(8*c + 11)/4
Determine a so that -90*a**4 - 3255*a**3 + 2795*a**2 + 720*a - 740 = 0.
-37, -1/2, 2/3
Find y, given that 2*y**5 + 12*y**4 + 18*y**3 - 8*y**2 - 24*y = 0.
-3, -2, 0, 1
Let w**2/4 - 19*w/2 - 123/4 = 0. What is w?
-3, 41
Suppose 9*x**4/4 - 84*x**3 + 1727*x**2/2 - 1484*x + 2809/4 = 0. Calculate x.
1, 53/3
Factor a**5/2 + 103*a**4/2 + 101*a**3 - a**2 - 203*a/2 - 101/2.
(a - 1)*(a + 1)**3*(a + 101)/2
Suppose 1875*a**4/8 + 2625*a**3 + 11025*a**2 + 20580*a + 14406 = 0. What is a?
-14/5
Factor r**2 - 56*r + 784.
(r - 28)**2
Let -f**4 - 51*f**3 - 624*f**2 + 676*f = 0. What is f?
-26, 0, 1
Factor -20*r**2 + 8965*r - 2240.
-5*(r - 448)*(4*r - 1)
Let 124*u**2/3 + 488*u/3 - 32/3 = 0. Calculate u.
-4, 2/31
Solve -162*b**5 - 5256*b**4 - 54962*b**3 - 187924*b**2 - 75608*b - 8112 = 0 for b.
-13, -6, -2/9
Suppose 2*t**2 + 26*t + 44 = 0. What is t?
-11, -2
Factor 5*i**4 + 