 + 5*f.
-5*f*(f - 1)*(f + 1)**2
Factor -2*q**2 - 3126*q/17 + 184/17.
-2*(q + 92)*(17*q - 1)/17
Let -20*g**2 + 77*g + 12 = 0. What is g?
-3/20, 4
Determine y, given that 4*y**4/3 - 16*y**3/3 + 16*y**2/3 = 0.
0, 2
Solve -2*h**5/7 + 4*h**4 - 128*h**3/7 + 236*h**2/7 - 190*h/7 + 8 = 0.
1, 4, 7
Factor 5*w**2 + 2170*w + 2165.
5*(w + 1)*(w + 433)
Factor 2916*d**5 - 8964*d**4 + 9400*d**3 - 3576*d**2 + 228*d - 4.
4*(d - 1)**3*(27*d - 1)**2
Let -5*p**2 + 90*p - 385 = 0. Calculate p.
7, 11
Factor -5*l**2 - 5000*l - 4995.
-5*(l + 1)*(l + 999)
Suppose -d**2/5 + 376*d/5 - 35344/5 = 0. Calculate d.
188
Find i such that -3*i**4 - 36*i**3 - 48*i**2 + 144*i + 240 = 0.
-10, -2, 2
Let 39*p**3/5 + 162*p**2/5 + 141*p/5 + 18/5 = 0. Calculate p.
-3, -1, -2/13
Factor -f**5/11 - 5*f**4/11 + 6*f**3/11.
-f**3*(f - 1)*(f + 6)/11
Let 3*s**2 - 1278*s + 136107 = 0. What is s?
213
Determine b so that 3*b**4 + 114*b**3 + 108*b**2 - 114*b - 111 = 0.
-37, -1, 1
Let k**3 + 4*k**2 - 5*k = 0. Calculate k.
-5, 0, 1
Find k, given that 5*k**2 - 40*k + 60 = 0.
2, 6
Suppose -5*v**5 - 5*v**4 + 25*v**3 + 25*v**2 - 20*v - 20 = 0. What is v?
-2, -1, 1, 2
Factor 3*d**3 + 225*d**2 + 5625*d + 46875.
3*(d + 25)**3
Factor -2*z**2/11 - 90*z/11 + 288/11.
-2*(z - 3)*(z + 48)/11
Determine n so that 5*n**2 - 55*n = 0.
0, 11
Let -4*s**3 - 60*s**2 - 188*s - 132 = 0. What is s?
-11, -3, -1
Factor -2*k**2 + 1552*k - 301088.
-2*(k - 388)**2
Find c such that -4*c**4 + 32*c**3 - 32*c**2 - 128*c + 192 = 0.
-2, 2, 6
Determine o, given that 4*o**2 - 240*o - 2176 = 0.
-8, 68
Factor 2*n**3 + 32*n**2/3 + 2*n - 20/3.
2*(n + 1)*(n + 5)*(3*n - 2)/3
Factor -2*o**3 + 18*o**2 - 216.
-2*(o - 6)**2*(o + 3)
Determine l so that 4*l**5/7 - 80*l**4/7 + 51*l**3 - 299*l**2/7 + 10*l = 0.
0, 1/2, 5, 14
Factor t**2 + 7604*t + 14455204.
(t + 3802)**2
Factor -3*y**2 - 3663*y - 10962.
-3*(y + 3)*(y + 1218)
Solve 2*i**2 + 2642*i + 7908 = 0 for i.
-1318, -3
Factor r**2/4 + r/4 - 3.
(r - 3)*(r + 4)/4
Determine r so that -5*r**5/4 + 15*r**4/2 + 55*r**3/4 - 30*r**2 - 35*r = 0.
-2, -1, 0, 2, 7
Determine f so that -507*f**3/7 + 7254*f**2/7 - 2196*f/7 + 24 = 0.
2/13, 14
Solve 2*p**3/19 + 188*p**2/19 - 2*p/19 - 188/19 = 0 for p.
-94, -1, 1
Factor 5*v**2 + 110*v + 605.
5*(v + 11)**2
Solve l**4/3 - 8*l**3/3 - 127*l**2 - 1072*l/3 - 700/3 = 0.
-14, -2, -1, 25
Let b**4/8 + 15*b**3/4 + 297*b**2/8 + 135*b + 162 = 0. Calculate b.
-12, -3
Factor -x**4/2 + 1293*x**3/2.
-x**3*(x - 1293)/2
Factor z**4/5 + 3*z**3/5 - 108*z**2/5.
z**2*(z - 9)*(z + 12)/5
Suppose 5*o**5/4 - o**4/2 - 135*o**3/2 - 243*o**2 - 783*o/4 + 243/2 = 0. What is o?
-3, 2/5, 9
Solve 36*x**3 - 312*x**2 + 676*x = 0 for x.
0, 13/3
What is m in 16*m**3 + 4*m**2 - 20*m = 0?
-5/4, 0, 1
Factor -3*m**3 + 33*m**2 - 108*m + 108.
-3*(m - 6)*(m - 3)*(m - 2)
Find p such that -2*p**3 + 6*p**2 - 6*p + 2 = 0.
1
Factor -3*p**2 - 810*p - 3975.
-3*(p + 5)*(p + 265)
Factor -5*o**4 + 5*o**2.
-5*o**2*(o - 1)*(o + 1)
Factor -6*b**2/5 - 98*b/5 + 196.
-2*(b - 7)*(3*b + 70)/5
Factor -j**2/4 - 212*j - 44944.
-(j + 424)**2/4
Suppose q**3/2 + 25*q**2/2 + 47*q/2 + 23/2 = 0. Calculate q.
-23, -1
Solve -15*a**5/4 - 7*a**4 + 3*a**3/4 + 7*a**2 + 3*a = 0 for a.
-6/5, -1, -2/3, 0, 1
Solve -g**4/6 + 4*g**3/3 + 7*g**2/2 - 4*g/3 - 10/3 = 0 for g.
-2, -1, 1, 10
Let 2*q**3 - 6*q**2 + 4*q = 0. Calculate q.
0, 1, 2
Determine l, given that 2*l**3/5 + 2*l**2 - 128*l/5 - 56 = 0.
-10, -2, 7
Factor -g**3 - 28*g**2 - 53*g - 26.
-(g + 1)**2*(g + 26)
Factor -6*u**2/5 - 216*u/5 + 222/5.
-6*(u - 1)*(u + 37)/5
Factor 5*q**3/4 - 885*q**2/2 - 5355*q/4.
5*q*(q - 357)*(q + 3)/4
Factor -z**3 - 13*z**2 - 7*z + 165.
-(z - 3)*(z + 5)*(z + 11)
Factor 5*a**3/3 - 250*a**2/3 - 380*a + 1080.
5*(a - 54)*(a - 2)*(a + 6)/3
Let 2*y**3/7 - 10*y**2/7 = 0. Calculate y.
0, 5
Factor -2*a**2/11 + 260*a/11.
-2*a*(a - 130)/11
Suppose 14*l**2/3 + 46*l/3 + 4 = 0. What is l?
-3, -2/7
Determine j so that -j**4/10 - 2*j**3/5 + j**2/10 + 2*j/5 = 0.
-4, -1, 0, 1
Determine g, given that -10*g**5 + 2*g**4 + 10*g**3 - 2*g**2 = 0.
-1, 0, 1/5, 1
Factor -36*s**4/7 - 64*s**3/7 - 20*s**2/7 + 8*s/7.
-4*s*(s + 1)**2*(9*s - 2)/7
Find n such that 3*n**4/2 + 300*n**3 + 14697*n**2 - 30300*n + 30603/2 = 0.
-101, 1
Determine g so that 2*g**4/9 - 8*g**3 + 872*g**2/9 - 448*g + 6272/9 = 0.
4, 14
Factor -2*r**4 - 12*r**3 - 18*r**2.
-2*r**2*(r + 3)**2
Suppose 3*j**2/7 + 417*j/7 - 846/7 = 0. Calculate j.
-141, 2
What is q in 5*q**4 + 80*q**3 + 420*q**2 + 880*q + 640 = 0?
-8, -4, -2
Factor -h**2 + 49*h + 50.
-(h - 50)*(h + 1)
Determine s, given that s**3 - 117*s**2 + 4563*s - 59319 = 0.
39
Let 2*n**5/19 - 50*n**4/19 + 374*n**3/19 - 718*n**2/19 - 176*n/19 + 968/19 = 0. What is n?
-1, 2, 11
Factor 100*c**3 + 212*c**2 + 24*c.
4*c*(c + 2)*(25*c + 3)
Factor 2*b**5/3 - 2*b**4/3 - 22*b**3/3 + 58*b**2/3 - 52*b/3 + 16/3.
2*(b - 2)*(b - 1)**3*(b + 4)/3
Let o**2/11 + 37*o/11 + 30 = 0. What is o?
-22, -15
Let -4*s**5 - 84*s**4 + 180*s**3 - 92*s**2 = 0. What is s?
-23, 0, 1
Factor -2*z**5/9 - 2*z**4/3 + 4*z**3/3 + 20*z**2/9 - 14*z/3 + 2.
-2*(z - 1)**3*(z + 3)**2/9
Let 5*b**3 + 215*b**2 - 450*b = 0. Calculate b.
-45, 0, 2
Factor b**3 + 4*b**2 - 5*b.
b*(b - 1)*(b + 5)
What is y in 3*y**2 - 81*y + 150 = 0?
2, 25
Factor 3*q**3/4 + 75*q**2/4 + 201*q/2 - 120.
3*(q - 1)*(q + 10)*(q + 16)/4
Determine b so that 2*b**5/7 - 2*b**4/7 - 22*b**3/7 - 2*b**2 + 20*b/7 + 16/7 = 0.
-2, -1, 1, 4
Find u such that 1215*u**5 - 1080*u**4 - 255*u**3 + 100*u**2 + 20*u = 0.
-2/9, 0, 1/3, 1
Determine d so that -d**2 + 906*d - 205209 = 0.
453
Solve 15*a**5/8 - 87*a**4/2 + 729*a**3/2 - 5187*a**2/4 + 13965*a/8 - 3087/4 = 0 for a.
1, 6/5, 7
Suppose -25*f**4 - 420*f**3 - 1299*f**2 - 844*f - 156 = 0. What is f?
-13, -3, -2/5
Factor -i**2/3 - 206*i/3 - 10609/3.
-(i + 103)**2/3
What is o in 28*o**2 + 372*o + 104 = 0?
-13, -2/7
Factor -s**2/4 - 149*s/4 - 147/2.
-(s + 2)*(s + 147)/4
Suppose -t**4/5 - 176*t**3/5 + 537*t**2/5 - 4*t/5 - 716/5 = 0. What is t?
-179, -1, 2
Factor -2*k**3/7 - 1340*k**2/7 - 1338*k/7.
-2*k*(k + 1)*(k + 669)/7
Factor q**2/2 + 63*q/2 + 61.
(q + 2)*(q + 61)/2
Determine p, given that -5*p**3/6 - 35*p**2/6 - 40*p/3 - 10 = 0.
-3, -2
Let 2*l**4/11 - 50*l**3/11 + 94*l**2/11 - 46*l/11 = 0. What is l?
0, 1, 23
Factor 4*u**2 + 776*u + 2292.
4*(u + 3)*(u + 191)
Suppose -2*q**2/17 - 496*q/17 - 30752/17 = 0. What is q?
-124
Factor 5*y**3 + 1090*y**2 - 5*y - 1090.
5*(y - 1)*(y + 1)*(y + 218)
Factor -2*h**2/11 + 194*h/11 + 1680/11.
-2*(h - 105)*(h + 8)/11
Factor -36*o**4/7 - 192*o**3 - 13408*o**2/7 - 2304*o - 5184/7.
-4*(o + 18)**2*(3*o + 2)**2/7
What is t in t**5/8 + 5*t**4/4 + 23*t**3/8 + 7*t**2/4 = 0?
-7, -2, -1, 0
Factor 4*v**3 + 316*v**2 + 5856*v + 31680.
4*(v + 12)**2*(v + 55)
Suppose -o**2/3 - 49*o/3 - 16 = 0. What is o?
-48, -1
Determine n, given that -2*n**4 - 14*n**3 - 20*n**2 = 0.
-5, -2, 0
Suppose -3*g**2/11 + 4*g/11 + 4/11 = 0. Calculate g.
-2/3, 2
Factor t**5/2 - t**4/2 - 51*t**3/2 - 171*t**2/2 - 81*t.
t*(t - 9)*(t + 2)*(t + 3)**2/2
Factor -4*a**2 - 616*a - 1812.
-4*(a + 3)*(a + 151)
Solve 2*c**2/5 - c - 3/5 = 0 for c.
-1/2, 3
Factor 9*d**3/5 - 13*d**2 + 104*d/5 - 4.
(d - 5)*(d - 2)*(9*d - 2)/5
Factor 5*i**3 + 80*i**2 + 340*i + 400.
5*(i + 2)*(i + 4)*(i + 10)
Let -3*x**3 - 1590*x**2 + 3189*x - 1596 = 0. What is x?
-532, 1
Determine v so that -5*v**5 - 460*v**4 + 465*v**3 = 0.
-93, 0, 1
Let u**3/2 - 1455*u**2/2 + 264264*u + 264992 = 0. Calculate u.
-1, 728
Solve -4*p**3 + 32*p**2 - 20*p - 56 = 0.
-1, 2, 7
Solve -1125*c**5 + 7575*c**4 - 10775*c**3 + 5341*c**2 - 1096*c + 80 = 0.
1/5, 4/15, 1, 5
Solve 3*w**3/7 - 3*w + 18/7 = 0.
-3, 1, 2
Factor h**4/7 + 114*h**3/7 + 32*h**2.
h**2*(h + 2)*(h + 112)/7
Factor p**3 - 6*p**2 + 8*p.
p*(p - 4)*(p - 2)
Factor w**4 + 4*w**3 - 11*w**2 - 66*w - 72.
(w - 4)*(w + 2)*(w + 3)**2
Factor 2*j**3/7 + 2*j**2 - 16*j/7.
2*j*(j - 1)*(j + 8)/7
Solve -3*m**2/5 - 40*m - 132/5 = 0 for m.
-66, -2/3
Determine u so that -2*u**2/3 - 22*u/3 + 8 = 0.
-12, 1
Factor -4*j**2 + 8*j + 60.
-4*(j - 5)*(j + 3)
Let t**2/4 + 5*t/4 + 1 = 0. What is t?
-4, -1
Determine v, given that 25*v**5/2 + 585*v**4/2 + 1540*v**3 + 3220*v**2 + 2760*v + 680 = 0.
-17, -2, -2/5
Find j, given that -j**2/2 - 34*j - 427/2 = 0.
-61, -7
Factor 3*s**3/2 - 147*s**2/2 + 270*s.
3*s*(s - 45)*(s - 4)/2
Factor 2*a**4 - 51*a**3/2 + 191*a**2/2 