 that -r**3 - 53*r**2 - 246*r - 288 = 0.
-48, -3, -2
Factor -4*g**4 + 112*g**3 - 528*g**2 - 3584*g - 4096.
-4*(g - 16)**2*(g + 2)**2
Find u, given that 2*u**4/11 - 6*u**2/11 - 4*u/11 = 0.
-1, 0, 2
Factor -v**3/5 + 141*v**2/5 - 279*v/5 + 139/5.
-(v - 139)*(v - 1)**2/5
Let -5*w**4/6 + 5*w**3/6 = 0. What is w?
0, 1
Determine b, given that b**2/4 + b/2 - 15/4 = 0.
-5, 3
Factor -4*p**2 - 148*p - 144.
-4*(p + 1)*(p + 36)
Let -5*r**2/4 - 45*r - 405 = 0. Calculate r.
-18
Factor -4*q**4 + 44*q**3 - 96*q**2.
-4*q**2*(q - 8)*(q - 3)
Solve 3*q**5 + 114*q**4 - 492*q**3 + 504*q**2 = 0 for q.
-42, 0, 2
Determine a, given that 6*a**3/13 - 2*a**2/13 - 16*a/13 - 8/13 = 0.
-1, -2/3, 2
Factor 3*j**4/5 + 396*j**3/5 + 1098*j**2 + 5340*j + 8775.
3*(j + 5)**3*(j + 117)/5
Find d such that 12*d**5 - 63*d**4 + 63*d**3 - 12*d**2 = 0.
0, 1/4, 1, 4
Factor -2*f**2/9 - 196*f/9.
-2*f*(f + 98)/9
Factor c**4/3 + 5*c**3/3 + 4*c**2/3.
c**2*(c + 1)*(c + 4)/3
Suppose -5*l**5 + 205*l**4 - 1775*l**3 + 3555*l**2 + 6480*l - 18900 = 0. Calculate l.
-2, 3, 7, 30
Find o such that 24*o**4 - 108*o**3 + 162*o**2 - 81*o = 0.
0, 3/2
Factor -d**5 + 6*d**4 + d**3 - 30*d**2.
-d**2*(d - 5)*(d - 3)*(d + 2)
Let -3*y**3 + 60*y**2 = 0. Calculate y.
0, 20
Factor 4*o**2 + 348*o - 9072.
4*(o - 21)*(o + 108)
Factor u**5 + 7*u**4 + 17*u**3 + 17*u**2 + 6*u.
u*(u + 1)**2*(u + 2)*(u + 3)
Let 80*f**4 + 1000*f**3 - 2595*f**2 - 51430*f - 47915 = 0. What is f?
-37/4, -1, 7
Factor 48*d**4/7 - 2734*d**3/7 + 7410*d**2 - 327066*d/7 - 13718/7.
2*(d - 19)**3*(24*d + 1)/7
Factor -8*z**4/5 - 8*z**3/5 + 78*z**2/5 + 8*z - 40.
-2*(z - 2)**2*(2*z + 5)**2/5
Factor 3*q**2/4 + 27*q/2 - 108.
3*(q - 6)*(q + 24)/4
Determine u so that 5*u**5 + 35*u**4 + 35*u**3 - 95*u**2 - 80*u + 100 = 0.
-5, -2, 1
Determine j, given that -j**3 + 35*j**2 - 32*j - 68 = 0.
-1, 2, 34
Factor -z**5/5 - 61*z**4/5 + 256*z**3/5 - 52*z**2.
-z**2*(z - 2)**2*(z + 65)/5
Solve -2*j**5/7 + 8*j**4/7 - 10*j**3/7 + 4*j**2/7 = 0.
0, 1, 2
Determine v, given that -v**4/2 + 3*v**2/2 - v = 0.
-2, 0, 1
Factor -5*k**2 + 35*k + 850.
-5*(k - 17)*(k + 10)
Factor 4*u**4/5 + 472*u**3/5 - 476*u**2/5.
4*u**2*(u - 1)*(u + 119)/5
Solve -4*h**2/7 + 2*h - 6/7 = 0.
1/2, 3
Suppose 2*c**5 + 8*c**4 - 6*c**3 - 44*c**2 - 8*c + 48 = 0. What is c?
-3, -2, 1, 2
Factor y**4/4 - 26*y**3 - 53*y**2/2 + 26*y + 105/4.
(y - 105)*(y - 1)*(y + 1)**2/4
Let 3*h**5/2 - 3*h**4 - 9*h**3/2 + 12*h**2 - 6*h = 0. Calculate h.
-2, 0, 1, 2
Determine h so that 4*h**3 + 113*h**2 - 212*h - 60 = 0.
-30, -1/4, 2
Factor 4*h**2 - 28*h + 40.
4*(h - 5)*(h - 2)
Find r, given that r**3 + 10*r**2 - 43*r - 52 = 0.
-13, -1, 4
Factor q**3/5 - 41*q**2/5 + 399*q/5 + 441/5.
(q - 21)**2*(q + 1)/5
Find n such that 4*n**2 - 112*n = 0.
0, 28
Factor 3*u**4 - 21*u**3 - 51*u**2 - 27*u.
3*u*(u - 9)*(u + 1)**2
Factor -2*w**3/15 + 26*w**2/15 - 46*w/15 + 22/15.
-2*(w - 11)*(w - 1)**2/15
Solve -p**2/2 - 10*p = 0 for p.
-20, 0
Find r, given that -2*r**5 - 443*r**4/3 - 7684*r**3/3 + 6055*r**2 - 11476*r/3 + 1444/3 = 0.
-38, 1/6, 1
Find l such that -3*l**5/8 + 9*l**4/2 - 81*l**3/8 - 15*l**2 = 0.
-1, 0, 5, 8
Let 2*k**4 - 24*k**3 + 90*k**2 - 116*k + 48 = 0. What is k?
1, 4, 6
Factor -f**3/3 - 2*f**2/3 - f/3.
-f*(f + 1)**2/3
Solve -4*v**3/7 - 11896*v**2/7 - 23780*v/7 - 11888/7 = 0 for v.
-2972, -1
Solve -5*c**2 - 50*c + 375 = 0 for c.
-15, 5
Solve -2*i**5/13 - 2*i**4/13 + 10*i**3/13 + 10*i**2/13 - 8*i/13 - 8/13 = 0.
-2, -1, 1, 2
Determine i, given that 2*i**2/5 + 116*i/5 - 366/5 = 0.
-61, 3
Factor 5*p**4 + 150*p**3 - 135*p**2 - 18900*p + 79380.
5*(p - 6)**2*(p + 21)**2
Factor -2*i**2 + 866*i - 864.
-2*(i - 432)*(i - 1)
Find x, given that -2*x**2/5 + 18*x/5 + 72/5 = 0.
-3, 12
Factor 3*a**2/4 - 9*a/4 + 3/2.
3*(a - 2)*(a - 1)/4
What is r in -2*r**3 - 88*r**2 + 384*r = 0?
-48, 0, 4
Factor 2*d**3/17 - 42*d**2/17 - 98*d/17 + 138/17.
2*(d - 23)*(d - 1)*(d + 3)/17
Factor -f**5 + 8*f**4 - 22*f**3 + 24*f**2 - 9*f.
-f*(f - 3)**2*(f - 1)**2
Suppose 15*m**2/4 - 507*m + 405/4 = 0. What is m?
1/5, 135
Factor 2*y**3/11 + 30*y**2/11 - 8*y/11 - 120/11.
2*(y - 2)*(y + 2)*(y + 15)/11
What is u in 5*u**2 + 450*u + 9720 = 0?
-54, -36
Factor u**4/9 + 6*u**3 + 169*u**2/9 - 1680*u + 78400/9.
(u - 8)**2*(u + 35)**2/9
Factor -2*p**4 - 154*p**3 - 1982*p**2 - 1830*p.
-2*p*(p + 1)*(p + 15)*(p + 61)
Let -2*y**5/3 + 14*y**4/3 - 6*y**3 - 18*y**2 + 36*y = 0. What is y?
-2, 0, 3
Suppose -3*k**5/4 - 15*k**4/4 - 15*k**3/4 + 15*k**2/4 + 9*k/2 = 0. Calculate k.
-3, -2, -1, 0, 1
Find n such that 3*n**2 - 240*n + 468 = 0.
2, 78
Factor 2*w**3 + 92*w**2 - 98*w - 188.
2*(w - 2)*(w + 1)*(w + 47)
Factor -4*o**4 + 8*o**3 + 52*o**2 + 40*o.
-4*o*(o - 5)*(o + 1)*(o + 2)
Determine v so that -v**2/9 - 8*v/9 = 0.
-8, 0
Let 3*i**2 + 39*i + 66 = 0. What is i?
-11, -2
Factor -2*i**4 + 2*i**3 + 6*i**2 - 10*i + 4.
-2*(i - 1)**3*(i + 2)
Determine c, given that 8*c**5 - 94*c**4/3 + 113*c**3/3 - 38*c**2/3 - 11*c/3 + 2 = 0.
-1/3, 1/2, 3/4, 1, 2
Factor -2*r**3 - 94*r**2 - 1206*r - 4698.
-2*(r + 9)**2*(r + 29)
Find o such that -5*o**5 - 190*o**4 + 1075*o**3 = 0.
-43, 0, 5
Determine c, given that 40*c**3 + 105*c**2 - 70*c - 75 = 0.
-3, -5/8, 1
Suppose -2*u**2 + 1350*u - 1348 = 0. Calculate u.
1, 674
Solve -3*z**3 - 291*z**2 - 1866*z + 2160 = 0 for z.
-90, -8, 1
Factor c**4/5 - 5*c**3 + 213*c**2/5 - 135*c + 486/5.
(c - 9)**2*(c - 6)*(c - 1)/5
Find j such that 38*j**2 + 2*j = 0.
-1/19, 0
Factor -3*x**2/7 - 3*x/7 + 270/7.
-3*(x - 9)*(x + 10)/7
Factor 3*q**2 + 207*q + 2850.
3*(q + 19)*(q + 50)
Find o such that -9*o**2/4 + 51*o/4 + 21 = 0.
-4/3, 7
Determine b so that -b**3/2 + 157*b**2 + 631*b/2 + 158 = 0.
-1, 316
Factor 3*u**3 - 5571*u**2 + 11133*u - 5565.
3*(u - 1855)*(u - 1)**2
Factor 2*j**3 + 52*j**2 + 346*j + 680.
2*(j + 4)*(j + 5)*(j + 17)
What is t in -3*t**2/5 - 15*t + 2508/5 = 0?
-44, 19
Factor -5*x**4 - 1200*x**3 - 72000*x**2.
-5*x**2*(x + 120)**2
Factor -3*x**2 - 14331*x - 14328.
-3*(x + 1)*(x + 4776)
Factor 2*p**5 + 752*p**4 + 750*p**3.
2*p**3*(p + 1)*(p + 375)
Determine r, given that 4*r**2 - 100*r = 0.
0, 25
Determine g so that -g**4/2 - g**3/2 = 0.
-1, 0
Factor -2*g**2/11 - 4*g/11 + 96/11.
-2*(g - 6)*(g + 8)/11
Factor 2*r**3/7 + 4*r**2/7 - 2*r/7 - 4/7.
2*(r - 1)*(r + 1)*(r + 2)/7
Factor -2*q**3 - 1792*q**2.
-2*q**2*(q + 896)
Let -4*u**2 + 48*u = 0. Calculate u.
0, 12
Solve -22*u**2 + 159*u - 35 = 0.
5/22, 7
Factor -t**3/2 + 73*t**2/2 + 113*t + 76.
-(t - 76)*(t + 1)*(t + 2)/2
Let -45*y**4/4 - 40*y**3 - 25*y**2 + 20*y = 0. Calculate y.
-2, 0, 4/9
Determine v, given that 2*v**4 + 2*v**3 - 14*v**2 - 2*v + 12 = 0.
-3, -1, 1, 2
Solve -15490178*g**2 - 33396*g - 18 = 0 for g.
-3/2783
Factor 3*o**3/7 + 111*o**2/7 - 492*o/7.
3*o*(o - 4)*(o + 41)/7
Factor 15*l**2 + 18*l.
3*l*(5*l + 6)
Factor -h**2/2 + 25*h/2 + 13.
-(h - 26)*(h + 1)/2
Suppose 2*o**5 - 4*o**4 - 2*o**3 + 4*o**2 = 0. Calculate o.
-1, 0, 1, 2
Find j, given that j**2/6 - 5*j/6 + 1 = 0.
2, 3
Factor 5*n**4 - 475*n**3 - 1955*n**2 - 2465*n - 990.
5*(n - 99)*(n + 1)**2*(n + 2)
Factor g**2 - g - 12.
(g - 4)*(g + 3)
What is f in -2*f**4/7 + 92*f**3 - 53730*f**2/7 + 302728*f/7 - 249640/7 = 0?
1, 5, 158
Let -2*f**2 - 350*f + 708 = 0. Calculate f.
-177, 2
Factor 2*j**2/9 - 1016*j/3 - 3050/9.
2*(j - 1525)*(j + 1)/9
Factor -3*y**3/4 - 3*y**2/4 + 27*y/4 + 27/4.
-3*(y - 3)*(y + 1)*(y + 3)/4
Factor 2*c**2/3 + 31*c/6 - 4/3.
(c + 8)*(4*c - 1)/6
What is y in -2*y**4/7 - 8*y**3/7 - 6*y**2/7 = 0?
-3, -1, 0
Solve 2*y**4/23 + 36*y**3/23 - 80*y**2/23 = 0.
-20, 0, 2
Solve l**5/3 - 10*l**4/3 + 37*l**3/3 - 64*l**2/3 + 52*l/3 - 16/3 = 0.
1, 2, 4
Suppose 39*h**2/5 - 9*h + 6/5 = 0. Calculate h.
2/13, 1
Factor -768*b**3 - 29472*b**2 - 267435*b + 297675.
-3*(b - 1)*(16*b + 315)**2
Find m such that -2*m**2 + 38*m - 36 = 0.
1, 18
Let -m**3/6 - 17*m**2/3 + 76*m/3 = 0. Calculate m.
-38, 0, 4
Determine w, given that -2*w**3 - 20*w**2 + 2*w + 20 = 0.
-10, -1, 1
What is j in -3*j**4/5 - 84*j**3/5 - 486*j**2/5 + 324*j + 405 = 0?
-15, -1, 3
Determine x, given that -2*x**4 - 112*x**3 + 232*x**2 = 0.
-58, 0, 2
What is b in 15*b**5 + 6*b**4 - 150*b**3 - 60*b**2 + 135*b + 54 = 0?
-3, -1, -2/5, 1, 3
Factor 4*h**5 + 24*h**4 + 16*h**3 - 24*h**2 - 20*h.
4*h*(h - 1)*(h + 1)**2*(h + 5)
Determine h so that -2*h**5 + 14*h**3 - 4*h**2 - 24*h + 16 = 0.
-2, 1, 2
Factor 3*n**3 + 117*n**2 + 1197*n + 10