 + 573*a**2/2.
3*a**2*(a - 191)*(a - 1)/2
Determine c so that -3*c**5 - 55*c**4 - 31*c**3/3 + 401*c**2/3 - 232*c/3 + 12 = 0.
-18, -2, 1/3, 1
Factor -3*a**3 + 9*a - 6.
-3*(a - 1)**2*(a + 2)
Let -3*r**5 - 9*r**4/5 + 96*r**3/5 - 36*r**2/5 = 0. Calculate r.
-3, 0, 2/5, 2
Find y, given that 3*y**4/7 - 3*y**3 - 219*y**2/7 + 489*y/7 - 36 = 0.
-7, 1, 12
Determine n so that -64*n**5 + 288*n**4 + 1724*n**3 + 624*n**2 - 652*n + 96 = 0.
-3, -1, 1/4, 8
Suppose -25*o**4 - 4165*o**3 - 2480*o**2 + 1660*o = 0. Calculate o.
-166, -1, 0, 2/5
Determine a so that 3*a**5/2 - 3*a**4/2 - 51*a**3/2 - 45*a**2/2 = 0.
-3, -1, 0, 5
Suppose -2*v**4 + 54*v**3 - 148*v**2 + 96*v = 0. What is v?
0, 1, 2, 24
Solve -9*k**2/5 - 339*k/5 + 114/5 = 0 for k.
-38, 1/3
Factor 2*r**3 - 14*r**2 - 80*r - 88.
2*(r - 11)*(r + 2)**2
Let -s**3 - 11*s**2 - 7*s + 147 = 0. What is s?
-7, 3
Let b**5/2 + 125*b**4/2 + 243*b**3/2 - 377*b**2/2 - 494*b - 246 = 0. What is b?
-123, -2, -1, 2
Factor 12*m**3 + 166*m**2 - 12*m - 166.
2*(m - 1)*(m + 1)*(6*m + 83)
Find g, given that g**2 + 109*g + 214 = 0.
-107, -2
Factor f**2 + 6*f - 27.
(f - 3)*(f + 9)
Factor 5*y**4 + 145*y**3 - 305*y**2 + 155*y.
5*y*(y - 1)**2*(y + 31)
Factor 3*p**3 - 24*p**2.
3*p**2*(p - 8)
Let 2*x**5 - 28*x**4 + 140*x**3 - 312*x**2 + 306*x - 108 = 0. What is x?
1, 3, 6
Determine z, given that 2*z**3/3 - 142*z**2/3 + 432*z + 480 = 0.
-1, 12, 60
Solve 2*y**2/9 + 2*y/9 = 0 for y.
-1, 0
What is b in 2*b**3 + 16*b**2 - 40*b = 0?
-10, 0, 2
Factor -4*h**3 + 20*h**2 - 12*h - 36.
-4*(h - 3)**2*(h + 1)
Let -4*h**2/9 - 364*h/9 + 776/3 = 0. What is h?
-97, 6
Factor -4*t**2 + 108*t + 112.
-4*(t - 28)*(t + 1)
Factor 10*q**4/11 + 116*q**3/11 + 432*q**2/11 + 448*q/11 - 256/11.
2*(q + 4)**3*(5*q - 2)/11
Factor -k**4/4 - 9*k**3/4 + 47*k**2/4 - 63*k/4 + 13/2.
-(k - 2)*(k - 1)**2*(k + 13)/4
Find s, given that 4*s**3/3 + 68*s**2 - 1120*s/3 = 0.
-56, 0, 5
What is a in 3*a**4 + 13803*a**3/7 + 2276982*a**2/7 + 2908704*a/7 + 645504/7 = 0?
-328, -1, -2/7
Factor 4*q**4 + 820*q**3 + 2432*q**2 + 1616*q.
4*q*(q + 1)*(q + 2)*(q + 202)
Factor -x**4 - 524*x**3 - 523*x**2.
-x**2*(x + 1)*(x + 523)
Determine b, given that 2*b**5/5 - 18*b**4 + 172*b**3/5 + 4*b**2/5 - 174*b/5 + 86/5 = 0.
-1, 1, 43
Let q**3/12 + 2*q**2/3 + 3*q/4 - 3/2 = 0. Calculate q.
-6, -3, 1
Factor -3*k**5/7 + 18*k**4/7 - 24*k**3/7.
-3*k**3*(k - 4)*(k - 2)/7
Factor -4*x**2 + 48*x - 140.
-4*(x - 7)*(x - 5)
Let y**3/4 - y**2/4 - 5*y/2 - 2 = 0. What is y?
-2, -1, 4
Solve 4*w**2/7 + 864*w + 326592 = 0 for w.
-756
Factor 20*b**3 + 848*b**2 + 336*b.
4*b*(b + 42)*(5*b + 2)
Factor 4*p**2 + 112*p - 240.
4*(p - 2)*(p + 30)
Factor 3*q**2/2 + 180*q - 2667/2.
3*(q - 7)*(q + 127)/2
Suppose -2*q**5/7 + 8*q**4 - 618*q**3/7 + 3348*q**2/7 - 8856*q/7 + 1296 = 0. Calculate q.
3, 6, 7
Find k such that k**3/4 + 9*k**2/2 - k/4 - 9/2 = 0.
-18, -1, 1
Determine l, given that 31*l**2/2 - 95*l/2 + 3 = 0.
2/31, 3
Factor -5*j**3 - 5*j**2 + 10*j.
-5*j*(j - 1)*(j + 2)
Factor 3*m**4/7 - 78*m**3/7 + 720*m**2/7 - 2754*m/7 + 3645/7.
3*(m - 9)**2*(m - 5)*(m - 3)/7
Factor -i**4/2 - 6*i**3 + 77*i**2/2 - 66*i + 34.
-(i - 2)**2*(i - 1)*(i + 17)/2
Solve -3*z**3 + 42*z**2 - 27*z - 972 = 0 for z.
-4, 9
Determine y, given that -5*y**4/4 + 3*y**3 + 361*y**2/4 + 51*y - 35 = 0.
-7, -1, 2/5, 10
Solve -s**3 - 25*s**2 - 127*s + 153 = 0.
-17, -9, 1
Determine c, given that -17*c**3/3 - 103*c**2/9 - 2*c/9 = 0.
-2, -1/51, 0
Factor -2*b**2/7 - 894*b/7 - 892/7.
-2*(b + 1)*(b + 446)/7
What is b in 3*b**4 - 5*b**3 - 2*b**2 = 0?
-1/3, 0, 2
Factor 122*f**3/5 + 48*f**2 + 114*f/5 - 4/5.
2*(f + 1)**2*(61*f - 2)/5
Factor -3*u**2/4 - 9*u/4 - 3/2.
-3*(u + 1)*(u + 2)/4
Suppose -n**3 - 141*n**2 - 279*n - 139 = 0. What is n?
-139, -1
Find y such that y**2 - 136*y + 4624 = 0.
68
Factor -b**3/4 + 275*b**2/2 - 75625*b/4.
-b*(b - 275)**2/4
Factor -5*m**3 - 90*m**2 - 480*m - 640.
-5*(m + 2)*(m + 8)**2
Suppose -361*v**2 + 4180*v - 12100 = 0. Calculate v.
110/19
Factor -5*x**4 + 250*x**3 + 260*x**2 - 250*x - 255.
-5*(x - 51)*(x - 1)*(x + 1)**2
Factor -c**5/4 + 5*c**4/4 - 3*c**3/4 - 9*c**2/4.
-c**2*(c - 3)**2*(c + 1)/4
Suppose 6*v**5/7 + 232*v**4 - 2178*v**3/7 - 540*v**2/7 + 1088*v/7 = 0. What is v?
-272, -2/3, 0, 1
Determine s so that 2*s**4/21 - 52*s**3/21 + 94*s**2/7 + 104*s/3 + 56/3 = 0.
-1, 14
Factor 9*o**5/5 - 12*o**4/5 - 3*o**3/5 + 6*o**2/5.
3*o**2*(o - 1)**2*(3*o + 2)/5
Determine b so that -3*b**2/8 + 1947*b/8 + 975/4 = 0.
-1, 650
Solve -n**4 + 818*n**3 + 2460*n**2 + 2462*n + 821 = 0.
-1, 821
Factor 5*d**4 - 5*d**3 - 25*d**2 - 15*d.
5*d*(d - 3)*(d + 1)**2
Factor y**3/4 + 3*y**2 + 27*y/4.
y*(y + 3)*(y + 9)/4
Factor l**2 - 18*l + 45.
(l - 15)*(l - 3)
Factor -2*k**3/7 + 38*k**2/7 + 400*k/7 - 936/7.
-2*(k - 26)*(k - 2)*(k + 9)/7
Let -c**5 - 4*c**4 - 3*c**3 = 0. What is c?
-3, -1, 0
Factor -5*j**2 - 105*j + 360.
-5*(j - 3)*(j + 24)
Determine x so that -x**5/3 - 131*x**4/3 + 2*x**3/3 + 262*x**2/3 - x/3 - 131/3 = 0.
-131, -1, 1
Find l, given that -2508*l**4/5 + 2516*l**3/5 - 8*l**2/5 = 0.
0, 2/627, 1
Determine r, given that -r**3 - 20*r**2 + r + 20 = 0.
-20, -1, 1
Factor 2*a**3 - 238*a**2 - 240*a.
2*a*(a - 120)*(a + 1)
Factor -3*y**4 - 75*y**3 - 66*y**2 + 144*y.
-3*y*(y - 1)*(y + 2)*(y + 24)
Find b, given that -b**2/4 + 47*b/4 + 12 = 0.
-1, 48
Suppose -136*m**3 - 118*m**2 + 22*m + 4 = 0. What is m?
-1, -2/17, 1/4
Solve -3*q**2 + 30*q = 0.
0, 10
Let -5*j**3 + 21440*j**2 - 22983680*j = 0. What is j?
0, 2144
Suppose 5*w**2 - 105*w + 550 = 0. What is w?
10, 11
Factor 5*q**3 + 1990*q**2 + 5935*q + 3950.
5*(q + 1)*(q + 2)*(q + 395)
Find a such that 4*a**4/7 + 180*a**3/7 + 248*a**2 - 6528*a/7 + 4608/7 = 0.
-24, 1, 2
Let -4*u**4/7 + 38*u**3/7 - 114*u**2/7 + 16*u - 32/7 = 0. Calculate u.
1/2, 1, 4
Factor -3*p**4 - 69*p**3 + 3*p**2 + 69*p.
-3*p*(p - 1)*(p + 1)*(p + 23)
Factor 2*k**2 - 4600*k + 2645000.
2*(k - 1150)**2
Suppose -2*b**3 - 2418*b**2 - 974454*b - 130901654 = 0. Calculate b.
-403
Factor i**3/4 - 125*i**2/2 + 3968*i - 7688.
(i - 124)**2*(i - 2)/4
Determine q, given that -q**2/9 + 2*q + 595/9 = 0.
-17, 35
Factor -b**3 - 596*b**2 - 1189*b - 594.
-(b + 1)**2*(b + 594)
Factor 2*g**3/9 + 932*g**2/9 + 36806*g/3 + 47432.
2*(g + 4)*(g + 231)**2/9
Determine k so that -k**4/2 - 72*k**3 - 3885*k**2 - 93092*k - 1671549/2 = 0.
-37, -33
Factor 2*j**2/7 - 328*j/7 - 330/7.
2*(j - 165)*(j + 1)/7
Suppose -3*m**2 + 30*m + 1008 = 0. Calculate m.
-14, 24
Factor -u**4/5 + 88*u**3/5.
-u**3*(u - 88)/5
Suppose 2*o**3 - 22*o**2 + 14*o + 294 = 0. Calculate o.
-3, 7
Find o, given that o**3 + o**2 - 2*o = 0.
-2, 0, 1
Factor w**2 - 2879*w/4 - 180.
(w - 720)*(4*w + 1)/4
Solve -3*b**2/4 - 3219*b/2 - 3453987/4 = 0 for b.
-1073
Determine u so that -2*u**2/9 - 26*u/9 - 8/3 = 0.
-12, -1
Let -3*b**3/8 + 3*b**2/4 + 15*b/8 - 9/4 = 0. Calculate b.
-2, 1, 3
Factor 3*z**4/4 + 6*z**3 - 15*z**2/2 - 6*z + 27/4.
3*(z - 1)**2*(z + 1)*(z + 9)/4
Factor -30*l**2/11 - 222*l/11 - 84/11.
-6*(l + 7)*(5*l + 2)/11
Factor 4*z**4 - 116*z**3 + 648*z**2 + 2816*z + 2048.
4*(z - 16)**2*(z + 1)*(z + 2)
Factor -a**5 + 16*a**4 - 15*a**3 - 500*a**2 + 500*a.
-a*(a - 10)**2*(a - 1)*(a + 5)
Suppose 3*f**4/8 - 21*f**3/8 - 3*f**2/2 + 39*f/2 + 18 = 0. What is f?
-2, -1, 4, 6
Factor -4*o**2 + 60*o - 216.
-4*(o - 9)*(o - 6)
Let -2*a**4/3 + a**3 + a**2/3 - a + 1/3 = 0. What is a?
-1, 1/2, 1
Let 3*m**3/7 - 3*m**2/7 - 60*m/7 = 0. What is m?
-4, 0, 5
Find p, given that 48*p**2 + 592*p + 5476/3 = 0.
-37/6
Factor 106*s**2/5 + 112*s/5 + 6/5.
2*(s + 1)*(53*s + 3)/5
Find d, given that 100*d**5 + 51520*d**4 + 164216*d**3 + 192704*d**2 + 98340*d + 18432 = 0.
-512, -1, -3/5
Factor -3*n**2 + 312*n - 8112.
-3*(n - 52)**2
Let -26*j**3/3 - 22*j**2/3 + 56*j/3 - 8/3 = 0. What is j?
-2, 2/13, 1
Suppose 405*l**3 + 10575*l**2 - 9640*l + 2160 = 0. What is l?
-27, 4/9
Factor q**5/4 - 3*q**4/2 - 3*q**3/2 + 11*q**2 - 51*q/4 + 9/2.
(q - 6)*(q - 1)**3*(q + 3)/4
Factor -b**2/7 - 76*b - 10108.
-(b + 266)**2/7
Factor 4*n**2/9 + 80*n + 3600.
4*(n + 90)**2/9
Factor p**2/5 + 27*p/5.
p*(p + 27)/5
Factor -3*j**3 + 5616*j**2 - 2628288*j.
-3*j*(j - 936)**2
Factor 83*j**2 - 417*j + 10.
(j - 5)*(83*j - 2)
Find z such that -4*z**4/5 + 36*z**2/5 - 16*z/5 - 48/5 = 0.
-3, -1, 2
Factor 7*l**4/9 - 23*l**3/9 - 37*l**2/3 - 125*l/9 - 44/9.
(l + 1)**3*(7*l - 44)/9
Let -2*k**4/11 + 2*k**3/11 + 16