**3 - 90*c**2 - 80*c + 160 = 0.
-4, -2, 1, 4
Factor 2*l**4/9 - 4*l**3/9 - 14*l**2/9 + 40*l/9 - 8/3.
2*(l - 2)**2*(l - 1)*(l + 3)/9
Factor 2*f**3/11 - 26*f**2/11 + 70*f/11 + 98/11.
2*(f - 7)**2*(f + 1)/11
Find g, given that -15*g**5 - 88*g**4 + 1212*g**3 - 2230*g**2 + 1251*g - 130 = 0.
-13, 2/15, 1, 5
Solve 5*z**5 - 680*z**4 + 31050*z**3 - 486000*z**2 + 455625*z = 0.
0, 1, 45
Solve -196*h**3 + 8344*h**2 - 4720*h + 672 = 0.
2/7, 42
Find j, given that 2000*j**3 + 4200*j**2 + 405*j + 10 = 0.
-2, -1/20
Find k, given that -3*k**2 + 15*k + 312 = 0.
-8, 13
Find m, given that -5*m**3 + 55*m**2 = 0.
0, 11
Factor i**3 - 22*i**2 + 19*i + 42.
(i - 21)*(i - 2)*(i + 1)
What is b in -435*b**2 + 890*b - 40 = 0?
4/87, 2
Let -5*g**2 + 2500*g - 312500 = 0. Calculate g.
250
Factor 2*q**2/21 + 4*q/21 - 16/21.
2*(q - 2)*(q + 4)/21
Solve 375*d**5 - 385*d**4 + 10*d**3 = 0 for d.
0, 2/75, 1
What is r in -5*r**2 - 20*r = 0?
-4, 0
Factor 2*d**5/7 - 30*d**4/7 - 20*d**3 - 220*d**2/7 - 150*d/7 - 38/7.
2*(d - 19)*(d + 1)**4/7
Find t, given that -4*t**5 + 16*t**4 - 20*t**3 + 8*t**2 = 0.
0, 1, 2
Find s, given that -4*s**4/7 - 1320*s**3/7 - 110212*s**2/7 - 216480*s/7 - 107584/7 = 0.
-164, -1
Find v such that -2*v**3 - 90*v**2 - 486*v - 702 = 0.
-39, -3
Solve d**2/5 - 19*d/5 + 84/5 = 0 for d.
7, 12
Factor -2*z**3/3 + 1018*z**2/3 + 2*z/3 - 1018/3.
-2*(z - 509)*(z - 1)*(z + 1)/3
Solve -2*b**3/7 + 36*b**2/7 + 38*b/7 = 0 for b.
-1, 0, 19
Let 27*o**5/8 - 39*o**4/2 - 63*o**3/8 + 201*o**2/2 + 45*o/2 = 0. Calculate o.
-2, -2/9, 0, 3, 5
Factor 5*d**2 - 140*d - 3225.
5*(d - 43)*(d + 15)
Let 5*i**3 - 50*i**2 + 165*i - 180 = 0. What is i?
3, 4
Factor -s**3/2 - 83*s**2 - 326*s - 324.
-(s + 2)**2*(s + 162)/2
Find o such that 3*o**2/2 + 51*o + 867/2 = 0.
-17
Factor -a**4/6 + 43*a**3/3 - 1669*a**2/6 - 1290*a - 1350.
-(a - 45)**2*(a + 2)**2/6
What is a in 3*a**4 + 3*a**3 - 81*a**2 - 243*a - 162 = 0?
-3, -1, 6
Let 67*p**2/2 - 137*p/4 + 3/4 = 0. What is p?
3/134, 1
Factor -j**4/4 + 3*j**3/4 + j**2/4 - 3*j/4.
-j*(j - 3)*(j - 1)*(j + 1)/4
Let -2*s**2/9 - 28*s - 882 = 0. Calculate s.
-63
Let -h**3/5 + 73*h**2/5 - 142*h/5 = 0. Calculate h.
0, 2, 71
Factor -r**5 - r**4 + 11*r**3 + 29*r**2 + 26*r + 8.
-(r - 4)*(r + 1)**3*(r + 2)
Factor 5*s**3/4 - 15*s**2/2 + 25*s/4.
5*s*(s - 5)*(s - 1)/4
Factor -8*o**2/17 - 902*o/17 + 2070/17.
-2*(o + 115)*(4*o - 9)/17
Suppose 3*q**5 + 3*q**4 - 9*q**3 - 3*q**2 + 6*q = 0. What is q?
-2, -1, 0, 1
Factor 3*x**5 + 15*x**4 + 18*x**3 - 12*x**2 - 24*x.
3*x*(x - 1)*(x + 2)**3
Find b such that -47*b**3 + 48*b**2 - b = 0.
0, 1/47, 1
Factor -n**2 + 28*n - 196.
-(n - 14)**2
Let i**4/7 + i**3/7 - 6*i**2/7 = 0. Calculate i.
-3, 0, 2
Factor -6*f**3/7 - 17*f**2/7 - 9*f/7 + 2/7.
-(f + 1)*(f + 2)*(6*f - 1)/7
Find i such that 45*i**2 - 1720*i + 380 = 0.
2/9, 38
Factor -5*u**4/3 - 25*u**3/3 + 70*u**2/3.
-5*u**2*(u - 2)*(u + 7)/3
Find b, given that -3*b**3/7 + 6*b**2/7 + 159*b/7 + 270/7 = 0.
-5, -2, 9
Factor 362*f**2/7 + 10*f/7.
2*f*(181*f + 5)/7
What is p in -3*p**5 - 54*p**4 - 300*p**3 - 450*p**2 + 303*p + 504 = 0?
-8, -7, -3, -1, 1
Let 4*o**2 - 200*o + 2500 = 0. What is o?
25
Factor l**4/7 + 68*l**3/7 + 1555*l**2/7 + 1776*l + 10944/7.
(l + 1)*(l + 19)*(l + 24)**2/7
Factor 3*h**5 - 12*h**4.
3*h**4*(h - 4)
Factor 2*l**4/3 + 10*l**3/3.
2*l**3*(l + 5)/3
Factor 5*h**3/6 + 175*h**2/6 + 560*h/3 - 650/3.
5*(h - 1)*(h + 10)*(h + 26)/6
Factor -3*r**2 + 90*r + 297.
-3*(r - 33)*(r + 3)
Factor -2*j**4/13 - 28*j**3/13 + 62*j**2/13 - 32*j/13.
-2*j*(j - 1)**2*(j + 16)/13
Let -4*o**3/5 + 224*o**2/5 - 172*o/5 - 528 = 0. Calculate o.
-3, 4, 55
Factor -2*r**3/5 - 828*r**2/5 - 3288*r/5 - 656.
-2*(r + 2)**2*(r + 410)/5
Determine u so that -u**4/5 - 7*u**3/5 - 2*u**2/5 + 64*u/5 + 96/5 = 0.
-4, -2, 3
Factor 2*k**5 - 2*k**3.
2*k**3*(k - 1)*(k + 1)
Find p such that p**2/5 + 559*p/5 = 0.
-559, 0
Solve 2*w**5/3 + 266*w**4/3 - 1364*w**3/3 + 2200*w**2/3 - 368*w = 0.
-138, 0, 1, 2
Factor -2*b**2/5 - 12*b/5.
-2*b*(b + 6)/5
Factor 4*d**2/7 - 80*d/7 - 176/7.
4*(d - 22)*(d + 2)/7
Solve -2*d**3 - 22*d**2 - 76*d - 80 = 0 for d.
-5, -4, -2
Factor -a**2 + 4*a + 21.
-(a - 7)*(a + 3)
Suppose 63*x**3 - 3*x**2 = 0. What is x?
0, 1/21
Determine f so that -5*f**3 + 40*f**2 + 175*f - 1470 = 0.
-6, 7
Factor 7*g**3 + 69*g**2 + 54*g.
g*(g + 9)*(7*g + 6)
Factor -5*i**4 + 100*i**3 + 330*i**2 + 340*i + 115.
-5*(i - 23)*(i + 1)**3
Factor -10*b**2/9 + 52*b/3 + 64/9.
-2*(b - 16)*(5*b + 2)/9
What is a in -5*a**3/6 - 5*a**2 - 10*a - 20/3 = 0?
-2
Solve 2*q**4/3 - 804*q**3 - 1610*q**2 - 2416*q/3 = 0 for q.
-1, 0, 1208
Factor 135*o**4 - 8775*o**3 + 192960*o**2 - 1495040*o + 1310720.
5*(o - 1)*(3*o - 64)**3
Suppose 2*c**4/13 + 42*c**3/13 - 98*c**2/13 - 138*c/13 = 0. What is c?
-23, -1, 0, 3
Solve -o**4/3 + 5*o**3/3 + 7*o**2/3 - 29*o/3 - 10 = 0.
-2, -1, 3, 5
Factor 2*y**4/25 + 4*y**3/25 - 8*y**2/5 + 48*y/25.
2*y*(y - 2)**2*(y + 6)/25
Factor 4*r**5 + 4*r**4 - 92*r**3 + 156*r**2 - 72*r.
4*r*(r - 3)*(r - 1)**2*(r + 6)
Let 245*z**5 - 105*z**4 - 1590*z**3 - 860*z**2 - 120*z = 0. What is z?
-2, -2/7, 0, 3
Suppose -4*z**4/7 + 268*z**3/7 - 1500*z**2/7 + 2196*z/7 = 0. What is z?
0, 3, 61
Determine n, given that 3*n**5/2 - 33*n**4/4 - 9*n**3 + 87*n**2/4 + 30*n + 9 = 0.
-1, -1/2, 2, 6
Factor -f**2 + 376*f - 35344.
-(f - 188)**2
Factor 3*k**2/7 + 120*k/7.
3*k*(k + 40)/7
Solve 2*s**2/19 + 8*s/19 - 10/19 = 0.
-5, 1
Factor 2*a**4/9 + 22*a**3/9 + 16*a**2/9 - 40*a/9.
2*a*(a - 1)*(a + 2)*(a + 10)/9
Determine j so that -4*j**3 + 656*j**2 - 26896*j = 0.
0, 82
Factor -4*z**2 - 68*z + 440.
-4*(z - 5)*(z + 22)
Solve 2*m**2/5 + 136*m + 2688/5 = 0 for m.
-336, -4
Find s, given that 2*s**4/9 - 20*s**3/9 - 46*s**2/9 - 8*s/3 = 0.
-1, 0, 12
Find y, given that 5*y**4 - 275*y**3 + 4395*y**2 - 16625*y + 12500 = 0.
1, 4, 25
Suppose -5*n**4 + 60*n**3 + 65*n**2 = 0. Calculate n.
-1, 0, 13
Factor 2*h**3/7 - 16*h**2/7 - 66*h/7.
2*h*(h - 11)*(h + 3)/7
Factor 2*b**2 + 120*b + 232.
2*(b + 2)*(b + 58)
Find i, given that 2*i**2/3 - 44*i/3 + 242/3 = 0.
11
Find j such that 2*j**2/9 + 22*j/9 + 56/9 = 0.
-7, -4
Let -5*z**4/2 + 35*z**3/2 + 15*z**2/2 - 115*z/2 + 35 = 0. What is z?
-2, 1, 7
Find r, given that 196*r**5 - 384*r**4 - 604*r**3 - 24*r**2 = 0.
-1, -2/49, 0, 3
Factor 3*d**5/8 - 2661*d**4/8 + 783201*d**3/8 - 75429387*d**2/8 - 38900169*d - 78594219/2.
3*(d - 297)**3*(d + 2)**2/8
Solve 28*n**5 + 148*n**4 + 208*n**3 + 48*n**2 = 0 for n.
-3, -2, -2/7, 0
Factor w**5 - 12*w**4 + 54*w**3 - 112*w**2 + 105*w - 36.
(w - 4)*(w - 3)**2*(w - 1)**2
Factor -b**2 - 110*b.
-b*(b + 110)
Let -4*a**3 - 452*a**2 - 12992*a - 12544 = 0. What is a?
-56, -1
Suppose -2*p**4/9 + 2620*p**3/9 - 860666*p**2/9 + 571160*p/3 - 95048 = 0. Calculate p.
1, 654
Factor 2*r**3/11 - 1806*r**2/11 + 543606*r/11 - 54541802/11.
2*(r - 301)**3/11
Factor -2*x**2/5 - 508*x/5 - 32258/5.
-2*(x + 127)**2/5
Let -4*b**5 + 68*b**4 - 144*b**3 - 2176*b**2 + 5120*b + 24576 = 0. Calculate b.
-4, -3, 8
Factor -o**2/5 + 4*o.
-o*(o - 20)/5
Factor -2*k**3 - 32*k**2 + 246*k - 396.
-2*(k - 3)**2*(k + 22)
Factor -2*j**3/19 + 10*j**2/19 + 2*j/19 - 10/19.
-2*(j - 5)*(j - 1)*(j + 1)/19
Factor 3*m**2 - 5856*m + 2857728.
3*(m - 976)**2
Find t, given that -3*t**2 - 32*t + 11 = 0.
-11, 1/3
Solve -z**2/3 + 1142*z/3 - 1141/3 = 0 for z.
1, 1141
Solve -4*o**2 + 320*o + 656 = 0 for o.
-2, 82
Determine c so that -c**3/8 - 114*c**2 - 1821*c/8 - 455/4 = 0.
-910, -1
Factor 3*g**3/2 + 6*g**2 - 42*g + 48.
3*(g - 2)**2*(g + 8)/2
Factor -2*g**2/3 - 5*g/3 - 1.
-(g + 1)*(2*g + 3)/3
Find u such that u**5 - 14*u**4 + 69*u**3 - 140*u**2 + 100*u = 0.
0, 2, 5
Solve c**5/4 - 18*c**4 + 473*c**3/4 - 595*c**2/2 + 327*c - 130 = 0 for c.
1, 2, 65
Determine j so that -2*j**2/15 - 2*j/5 + 56/15 = 0.
-7, 4
Determine j, given that -196*j**4 + 24584*j**3 + 142476*j**2 + 75376*j + 10480 = 0.
-5, -2/7, 131
Let 250*a**5 + 220*a**4 - 1306*a**3/9 - 916*a**2/9 + 136*a/9 + 16/9 = 0. What is a?
-1, -2/3, -2/25, 1/5, 2/3
What is s in -5*s**3 + 590*s**2 - 1165*s + 580 = 0?
1, 116
Factor k**4 - 6032*k**3 + 13644384*k**2 - 13717154048*k + 5171367076096.
(k - 1508)**4
Determine p so that p**3 + 16*p**2 + 63*p = 0.
-9, -7, 0
Solve -m**3/4 - 49*m**2/4 - 130*m + 507 = 0.
-26, 3
Factor -l**3 + 16*l.
-l*(l - 4)*(l + 4)
Factor 578*u**3/5 - 952*u**2/5 - 78*u - 36/5.
2*(u - 2)*(17*u + 3)**2/5
Suppose a*