 - 8*a**3 + 44*a**2 - 96*a + 72.
(a - 6)**2*(a - 2)**2/2
Suppose -g**4/5 - 8*g**3/5 + 11*g**2/5 + 18*g/5 = 0. What is g?
-9, -1, 0, 2
Find u such that -5*u**2 + 10*u - 5 = 0.
1
Let 4*b**5 - 4*b**4 - 180*b**3 + 388*b**2 + 560*b = 0. What is b?
-7, -1, 0, 4, 5
Factor -5*f**3 - 485*f**2 - 1420*f - 940.
-5*(f + 1)*(f + 2)*(f + 94)
Factor -3*u**2 - 180*u.
-3*u*(u + 60)
Find v such that 2*v**5 + 6*v**4 + 4*v**3 - 4*v**2 - 6*v - 2 = 0.
-1, 1
Factor -2*x**2/13 - 124*x/13 - 1922/13.
-2*(x + 31)**2/13
Determine q so that -6*q**2 - 63*q + 33 = 0.
-11, 1/2
Factor -2*q**4 + 4*q**3 + 46*q**2 - 48*q - 288.
-2*(q - 4)**2*(q + 3)**2
Find m such that -m**4 - 31*m**3/4 + 22*m**2 - 5*m = 0.
-10, 0, 1/4, 2
Factor 3*b**2/4 + 1131*b + 426387.
3*(b + 754)**2/4
Factor r**5/4 - r**4/2 - 21*r**3/4 - 9*r**2/2.
r**2*(r - 6)*(r + 1)*(r + 3)/4
Factor -4*x**2/7 + 120*x/7 - 884/7.
-4*(x - 17)*(x - 13)/7
Factor -q**2 + 512*q + 2064.
-(q - 516)*(q + 4)
Factor 32400*o**2 - 7920*o + 484.
4*(90*o - 11)**2
Solve 72250*s**4/3 - 143650*s**3/3 + 47035*s**2/2 + 845*s/3 + 5/6 = 0.
-1/170, 1
Factor -r**4 + 192*r**3 - 9952*r**2 + 70656*r - 135424.
-(r - 92)**2*(r - 4)**2
Determine k so that -5651522*k**4/7 + 3308208*k**3/7 - 726192*k**2/7 + 70848*k/7 - 2592/7 = 0.
6/41
Factor -j**4/6 + 3*j**2 + 16*j/3 + 5/2.
-(j - 5)*(j + 1)**2*(j + 3)/6
Suppose 3*d**4/2 + 27*d**3 - 189*d**2/2 + 6*d + 126 = 0. What is d?
-21, -1, 2
Factor -2*h**3/7 - 460*h**2/7 + 3334*h/7 + 3792/7.
-2*(h - 8)*(h + 1)*(h + 237)/7
Find o, given that -21*o**3/10 - 1144*o**2/5 + 111*o/10 + 109/5 = 0.
-109, -2/7, 1/3
Factor 27*q**5 - 78*q**4 + 42*q**3 + 72*q**2 - 93*q + 30.
3*(q - 1)**4*(9*q + 10)
Find v such that 2*v**4 - 6*v**3 - 26*v**2 + 30*v = 0.
-3, 0, 1, 5
What is o in -2*o**5/9 + 10*o**4/9 - 4*o**3/3 - 4*o**2/9 + 14*o/9 - 2/3 = 0?
-1, 1, 3
Find h such that -3*h**3/8 + 15*h**2/4 + 3*h/8 - 15/4 = 0.
-1, 1, 10
Factor -35*m**4 + 486*m**3 - 136*m**2.
-m**2*(5*m - 68)*(7*m - 2)
Determine a, given that -3*a**4 + 71*a**3 + 26*a**2 - 48*a = 0.
-1, 0, 2/3, 24
Find l, given that 3*l**3 + 98*l**2 + 153*l - 62 = 0.
-31, -2, 1/3
What is d in -d**2/2 + 583*d + 1167/2 = 0?
-1, 1167
Factor 3*c**2 + 114*c - 117.
3*(c - 1)*(c + 39)
Factor -3*c**2/5 - 3*c/5 + 126/5.
-3*(c - 6)*(c + 7)/5
Find s, given that 2*s**5/9 + 8*s**4/9 + 2*s**3/3 = 0.
-3, -1, 0
Factor -5*m**4 - 45*m**3 - 75*m**2 + 125*m.
-5*m*(m - 1)*(m + 5)**2
Factor 5*c**5 + 15*c**4 - 10*c**3 - 60*c**2 - 40*c.
5*c*(c - 2)*(c + 1)*(c + 2)**2
Factor o**3/3 - 56*o**2/3 + 141*o.
o*(o - 47)*(o - 9)/3
Determine f, given that 16*f**2 - 684*f + 504 = 0.
3/4, 42
Factor -3*y**3 - 294*y**2 - 1635*y + 1932.
-3*(y - 1)*(y + 7)*(y + 92)
Let t**5/2 + 164*t**4 + 651*t**3 + 974*t**2 + 1297*t/2 + 162 = 0. Calculate t.
-324, -1
Factor y**2/4 + 151*y/2 + 301/4.
(y + 1)*(y + 301)/4
Determine l, given that -9*l**3 + 25*l**2 - 12*l - 4 = 0.
-2/9, 1, 2
Determine p, given that p**4 - 24*p**3 + 118*p**2 + 312*p + 169 = 0.
-1, 13
Solve -r**4/5 + r**3/5 + 2*r**2/5 = 0 for r.
-1, 0, 2
Determine w, given that 3*w**3/7 + 39*w**2/7 - 1440*w/7 + 2700/7 = 0.
-30, 2, 15
Find h, given that -h**4/2 + 3*h**3 + 3*h**2/2 - 10*h + 6 = 0.
-2, 1, 6
Factor -2*f**2 + 4292*f - 2302658.
-2*(f - 1073)**2
Suppose -2*b**2 + 608*b - 46208 = 0. Calculate b.
152
What is k in -12*k**4 - 620*k**3 - 2712*k**2 - 3792*k - 1504 = 0?
-47, -2, -2/3
Solve -2*l**2 + 1732*l - 374978 = 0.
433
Find z, given that -5*z**2 + 250*z + 520 = 0.
-2, 52
Factor 2*i**4 - 2*i**3 - 2*i**2 + 2*i.
2*i*(i - 1)**2*(i + 1)
Factor -4*c**3 + 44*c**2 - 32*c - 80.
-4*(c - 10)*(c - 2)*(c + 1)
Factor -3*f**5/8 + 21*f**4/8 - 57*f**3/8 + 75*f**2/8 - 6*f + 3/2.
-3*(f - 2)**2*(f - 1)**3/8
Factor -56*i**3 - 222*i**2 - 160*i + 6.
-2*(i + 1)*(i + 3)*(28*i - 1)
Factor -3*f**4/4 - 9*f**3/4 + 3*f**2 + 9*f.
-3*f*(f - 2)*(f + 2)*(f + 3)/4
Factor -5*r**5 - 45*r**4 - 60*r**3 + 320*r**2 + 960*r + 720.
-5*(r - 3)*(r + 2)**3*(r + 6)
Factor 4*s**3 - 28*s**2 + 24*s.
4*s*(s - 6)*(s - 1)
Suppose l**4 - 11*l**3/3 - 88*l**2/3 - 124*l/3 - 32/3 = 0. Calculate l.
-2, -1/3, 8
Find r, given that 4*r**5/3 - 89*r**4 + 197*r**3/3 + 22*r**2 = 0.
-1/4, 0, 1, 66
Factor q**4/2 - 105*q**3/2 + 103*q**2/2 + 105*q/2 - 52.
(q - 104)*(q - 1)**2*(q + 1)/2
Solve 4*s**5 - 452*s**4 + 12992*s**3 - 12544*s**2 = 0 for s.
0, 1, 56
Factor q**4/2 + 29*q**3/2 + 105*q**2/2 + 127*q/2 + 25.
(q + 1)**2*(q + 2)*(q + 25)/2
Factor 4*q**2/5 + 679*q - 849/5.
(q + 849)*(4*q - 1)/5
Factor -2*x**3/3 + 4*x**2.
-2*x**2*(x - 6)/3
What is l in -3*l**3/2 + 783*l**2 + 9477*l/2 + 7128 = 0?
-3, 528
Factor a**3 + 6*a**2 + 12*a + 8.
(a + 2)**3
Suppose -12*p**2 + 92*p/7 - 8/7 = 0. Calculate p.
2/21, 1
Factor -9*x**5 + 120*x**4 - 39*x**3.
-3*x**3*(x - 13)*(3*x - 1)
Suppose -25*s**3 - 30*s**2 + 15*s + 20 = 0. Calculate s.
-1, 4/5
Factor 5*w**3 + 25*w**2 + 35*w + 15.
5*(w + 1)**2*(w + 3)
Factor q**2/3 + q/3 - 352.
(q - 32)*(q + 33)/3
Solve 3*w**5 - 27*w**4 + 21*w**3 + 27*w**2 - 24*w = 0.
-1, 0, 1, 8
Let -l**3/2 - l**2/2 + 9*l/2 + 9/2 = 0. Calculate l.
-3, -1, 3
Factor -z**2/4 - 3*z/2 + 7/4.
-(z - 1)*(z + 7)/4
Determine s so that -3*s**3/10 + 299*s**2/10 - 213*s + 644/5 = 0.
2/3, 7, 92
Find z, given that -3*z**2/4 + 9*z/4 - 3/2 = 0.
1, 2
Factor -4*n**4 - 4*n**3 + 28*n**2 + 52*n + 24.
-4*(n - 3)*(n + 1)**2*(n + 2)
Suppose -2*d**4/5 - 46*d**3/5 + 454*d**2/5 + 1038*d/5 + 108 = 0. What is d?
-30, -1, 9
Factor 3*m**2/2 + 1995*m + 1326675/2.
3*(m + 665)**2/2
Factor -2*v**2/21 - 20*v/21 - 2.
-2*(v + 3)*(v + 7)/21
Solve -2*u**2/9 + 80*u/3 - 238/9 = 0 for u.
1, 119
Determine y, given that y**5/5 - 8*y**3/5 + 6*y**2/5 + 7*y/5 - 6/5 = 0.
-3, -1, 1, 2
Solve -4*v**5 + 536*v**4 - 2092*v**3 + 1560*v**2 = 0 for v.
0, 1, 3, 130
Factor -6*p**3 + 76*p**2 + 328*p/3 + 112/3.
-2*(p - 14)*(3*p + 2)**2/3
What is l in -2*l**5/17 - 14*l**4/17 + 2*l**3/17 + 110*l**2/17 + 168*l/17 + 72/17 = 0?
-6, -2, -1, 3
Let -2*p**3/9 + 122*p**2 - 22326*p + 1361886 = 0. What is p?
183
Find u, given that -u**2 - 9*u - 14 = 0.
-7, -2
Find r, given that -3*r**4 + 81*r**3 - 354*r**2 + 540*r - 264 = 0.
1, 2, 22
Factor 4*d**3 + 36*d**2 - 432.
4*(d - 3)*(d + 6)**2
Factor 4*g**2/3 + 264*g + 13068.
4*(g + 99)**2/3
Factor -5*f**3 + 80*f**2/3 + 55*f + 70/3.
-5*(f - 7)*(f + 1)*(3*f + 2)/3
Let -9*r**3/4 - 11*r**2/2 - 13*r/4 = 0. What is r?
-13/9, -1, 0
Factor 5*m**3/2 + 15*m**2 - 245*m/2 - 735.
5*(m - 7)*(m + 6)*(m + 7)/2
Find d such that d**3/4 + 19*d**2/8 - 4*d + 11/8 = 0.
-11, 1/2, 1
Factor -z**2/3 + 26*z/3 + 29.
-(z - 29)*(z + 3)/3
Suppose -t**5/3 - 2*t**4/3 + 11*t**3/3 + 40*t**2/3 + 44*t/3 + 16/3 = 0. What is t?
-2, -1, 4
Suppose 3*s**4/4 + 21*s**3/4 + 27*s**2/4 - 21*s/4 - 15/2 = 0. What is s?
-5, -2, -1, 1
Find i such that -10*i**3/13 - 496*i**2/13 + 2360*i/13 - 864/13 = 0.
-54, 2/5, 4
Factor -z**2 - 572*z + 1148.
-(z - 2)*(z + 574)
Factor 5*n**3/4 + 45*n**2/4 + 45*n/2.
5*n*(n + 3)*(n + 6)/4
Factor d**4/8 - 19*d**3/4 + 277*d**2/8 + 399*d/2 + 441/2.
(d - 21)**2*(d + 2)**2/8
Factor 2*u**3/3 - 19*u**2/3 - 58*u/3 - 8.
(u - 12)*(u + 2)*(2*u + 1)/3
Let -3*y**5/2 - 33*y**4 - 117*y**3 - 168*y**2 - 219*y/2 - 27 = 0. Calculate y.
-18, -1
Determine t so that -t**2 + 196*t - 9604 = 0.
98
What is j in -2*j**2/9 - 88*j/9 + 10 = 0?
-45, 1
Solve 16*k**5 - 125*k**4 - 40*k**3 + 125*k**2 + 24*k = 0.
-1, -3/16, 0, 1, 8
Let -5*h**4/2 - 10*h**3 + 25*h**2/2 = 0. Calculate h.
-5, 0, 1
Find i such that -i**5/4 - i**4/2 + 5*i**3/4 + 3*i**2/2 = 0.
-3, -1, 0, 2
Solve 3*m**2/5 - 909*m/5 = 0.
0, 303
Determine y so that -5*y**4/2 - 55*y**3 - 195*y**2/2 + 55*y + 100 = 0.
-20, -2, -1, 1
Let -g**2 - 7*g - 12 = 0. Calculate g.
-4, -3
Factor -2*a**5 - 4*a**4 + 6*a**3 + 8*a**2 - 8*a.
-2*a*(a - 1)**2*(a + 2)**2
Factor 5*q**3 - 230*q**2 + 225*q.
5*q*(q - 45)*(q - 1)
Determine h so that h**4/3 + 1606*h**3/3 + 1604*h**2 + 4810*h/3 + 1603/3 = 0.
-1603, -1
Factor 3*f**3/4 - 33*f**2/4 - 2451*f/4 - 2415/4.
3*(f - 35)*(f + 1)*(f + 23)/4
Solve -m**2/7 - 7*m - 544/7 = 0 for m.
-32, -17
Factor -3*a**2/5 + 48*a/5 - 9.
-3*(a - 15)*(a - 1)/5
Factor -3*t**2/4 + 27*t/4 + 15/2.
-3*(t - 10)*(t + 1)/4
Suppose -184815*p**5 - 78588*p**4 + 137433*p**3 - 38694*p**2 + 3036*p - 72 = 0. Calculate p.
-6/5, 2/37, 1/3
Factor -4*l**3/7 - 52*l**2/7 - 120*l/7.
-4*l*(l + 3)*(l + 10)/7
Factor i**2/4 - 3*i/2 - 4.
(i - 8)*(i + 2)/4
Factor 4*i**4/5 + 124*i**3/5 