 1
Factor -w**3/7 - 15*w**2/7 - 26*w/7.
-w*(w + 2)*(w + 13)/7
Factor -10*k**3 - 36*k**2 + 66*k - 20.
-2*(k - 1)*(k + 5)*(5*k - 2)
Solve y**4/2 - 2445*y**3/2 + 1992675*y**2/2 - 541343375*y/2 = 0.
0, 815
Let -2*p**4/21 + 6*p**3/7 - 10*p**2/7 + 2*p/3 = 0. What is p?
0, 1, 7
Suppose 2*h**2 + 22*h + 48 = 0. What is h?
-8, -3
Determine x so that 2401*x**2/3 - 196*x + 12 = 0.
6/49
Solve -14*n**5 - 186*n**4 - 346*n**3 + 1106*n**2 - 360*n - 200 = 0.
-10, -5, -2/7, 1
Let z**2/4 - 89*z/2 - 90 = 0. Calculate z.
-2, 180
Factor 3*o**2/4 + 99*o/4 - 111.
3*(o - 4)*(o + 37)/4
Factor 2*y**2/9 + 8*y/9 - 10/9.
2*(y - 1)*(y + 5)/9
Solve 2*v**5/5 + 8*v**4/5 - 12*v**3 + 8*v**2 + 58*v/5 - 48/5 = 0.
-8, -1, 1, 3
Find u, given that 2*u**4/19 - 146*u**3/19 + 2590*u**2/19 + 2738*u/19 = 0.
-1, 0, 37
Suppose 5*m**2 - 450*m - 1880 = 0. What is m?
-4, 94
What is x in -3*x**3 + 45*x**2 - 216*x + 324 = 0?
3, 6
Factor -4*o**2 - 32*o - 64.
-4*(o + 4)**2
Factor 4*c**2 + 1100*c + 1096.
4*(c + 1)*(c + 274)
Factor 2*j**3 + 422*j**2/5 + 476*j/5 - 656/5.
2*(j + 2)*(j + 41)*(5*j - 4)/5
Factor 3*r**4 - 6*r**3 - 3*r**2 + 6*r.
3*r*(r - 2)*(r - 1)*(r + 1)
What is x in 16*x**3/3 - 74*x**2/3 + 104*x/3 - 40/3 = 0?
5/8, 2
Solve -2*n**2 + 300*n - 592 = 0.
2, 148
Solve n**4 - 742*n**3 = 0.
0, 742
Suppose 2*y**3/15 - 6*y**2/5 - 8*y/5 + 8/3 = 0. Calculate y.
-2, 1, 10
Let -12*y**2 - 2*y = 0. What is y?
-1/6, 0
Factor -2*l**3 + 14*l**2 - 24*l.
-2*l*(l - 4)*(l - 3)
Factor c**2/2 + 78*c.
c*(c + 156)/2
Determine d so that 3*d**3 + 120*d**2 - 801*d + 1242 = 0.
-46, 3
Let 5*b**2/3 - 25*b/3 - 210 = 0. Calculate b.
-9, 14
Factor j**4 - 6*j**3 - 47*j**2 + 168*j + 784.
(j - 7)**2*(j + 4)**2
What is i in 6*i**4 + 12*i**3 - 153*i**2/2 + 129*i/2 - 15 = 0?
-5, 1/2, 2
Solve j**2 + 20*j = 0 for j.
-20, 0
Factor 6*h**3/5 - 36*h**2/5 - 306*h/5 - 264/5.
6*(h - 11)*(h + 1)*(h + 4)/5
Factor 98*u**3 + 45626*u**2 + 26048*u + 3720.
2*(u + 465)*(7*u + 2)**2
Solve -w**5 - 193*w**4 - 9408*w**3 - 9216*w**2 = 0 for w.
-96, -1, 0
Factor 3*k**2 + 210*k + 792.
3*(k + 4)*(k + 66)
Factor -d**5/3 - 229*d**4/3 + 231*d**3 - 695*d**2/3 + 232*d/3.
-d*(d - 1)**3*(d + 232)/3
Factor 5*h**4 + 115*h**3 + 290*h**2 - 2700*h + 3240.
5*(h - 2)**2*(h + 9)*(h + 18)
Let 5*s**2 - 100*s - 2145 = 0. What is s?
-13, 33
Factor 25*z**5 - 45*z**4 - 310*z**3 - 410*z**2 - 195*z - 25.
5*(z - 5)*(z + 1)**3*(5*z + 1)
Factor 2*i**2/13 + 4*i - 1974/13.
2*(i - 21)*(i + 47)/13
Determine h so that 3*h**2 - 3*h - 36 = 0.
-3, 4
Suppose -2*y**5/17 - 110*y**4/17 + 1094*y**3/17 - 3634*y**2/17 + 4956*y/17 - 2304/17 = 0. Calculate y.
-64, 1, 2, 3
Factor r**2/4 + 21*r/4 - 88.
(r - 11)*(r + 32)/4
Factor u**2/4 + 9*u/4 + 2.
(u + 1)*(u + 8)/4
Suppose -w**5/3 - 40*w**4/3 - 505*w**3/3 - 2150*w**2/3 - 3740*w/3 - 2312/3 = 0. What is w?
-17, -2
Find t, given that 2*t**3 - 16*t**2 + 42*t - 36 = 0.
2, 3
Factor j**2/8 - 581*j/8.
j*(j - 581)/8
Determine n, given that 2*n**2 - 28*n - 102 = 0.
-3, 17
Determine j so that 4*j**4 - 4*j**3 - 36*j**2 - 44*j - 16 = 0.
-1, 4
Find h such that h**3/2 - 7*h**2 + 25*h/2 - 6 = 0.
1, 12
Factor 165*m**2 + 174*m - 144.
3*(5*m + 8)*(11*m - 6)
Suppose -5*i**4 - 210*i**3 + 675*i**2 = 0. What is i?
-45, 0, 3
Factor -d**3/3 - 2*d**2/3 + 5*d + 12.
-(d - 4)*(d + 3)**2/3
Determine l, given that -5*l**5 + 15*l**4 + 365*l**3 - 55*l**2 - 1020*l + 700 = 0.
-7, -2, 1, 10
Determine c so that 4*c**3 - 856*c**2 + 844*c + 1704 = 0.
-1, 2, 213
Factor 4*m**4 + 4*m**3 - 20*m**2 + 12*m.
4*m*(m - 1)**2*(m + 3)
Let -y**3/2 - 55*y**2 = 0. Calculate y.
-110, 0
Factor -5*o**2 - 1760*o - 1755.
-5*(o + 1)*(o + 351)
Determine i so that -8*i**5/13 + 56*i**4/13 - 34*i**3/13 - 80*i**2/13 - 24*i/13 = 0.
-1/2, 0, 2, 6
Find g such that g**5/4 + 3*g**4/2 + 2*g**3 - g**2/2 - 9*g/4 - 1 = 0.
-4, -1, 1
Factor -3*t**3/5 + 363*t**2/5 - 717*t/5 + 357/5.
-3*(t - 119)*(t - 1)**2/5
Factor 16*q**3/17 - 18*q**2/17 + 2*q/17.
2*q*(q - 1)*(8*q - 1)/17
Let -m**3/7 - 3*m**2/7 + 10*m/7 = 0. What is m?
-5, 0, 2
Find a such that 2*a**4 - 10*a**3 + 18*a**2 - 14*a + 4 = 0.
1, 2
Suppose -4*k**2 + 68*k - 64 = 0. What is k?
1, 16
Factor l**2/2 + 2417*l + 5841889/2.
(l + 2417)**2/2
Determine a so that 10*a**5 + 186*a**4 + 84*a**3 - 424*a**2 + 144*a = 0.
-18, -2, 0, 2/5, 1
Find u such that 3*u**3 + 87*u**2/4 + 141*u/4 + 15/2 = 0.
-5, -2, -1/4
Let -n**2/2 - 73*n/2 + 324 = 0. Calculate n.
-81, 8
Suppose 5*x**3 - 85*x**2 + 275*x - 195 = 0. What is x?
1, 3, 13
Factor q**4/7 - q**3/7 - 2*q**2 + 24*q/7.
q*(q - 3)*(q - 2)*(q + 4)/7
Factor 5*a**5 - 125*a**4 + 760*a**3 - 1360*a**2.
5*a**2*(a - 17)*(a - 4)**2
Factor l**5 - l**4 - 3*l**3 + l**2 + 2*l.
l*(l - 2)*(l - 1)*(l + 1)**2
Suppose -v**4 - 11*v**3 + 12*v**2 = 0. What is v?
-12, 0, 1
Factor -h**2 - 7*h + 30.
-(h - 3)*(h + 10)
Factor -48*w**4 + w**3.
-w**3*(48*w - 1)
Find j such that 2*j**2/9 + 48*j + 2592 = 0.
-108
Factor -2*p**5/5 - 4*p**4/5 + 22*p**3/5 + 24*p**2/5 - 72*p/5.
-2*p*(p - 2)**2*(p + 3)**2/5
Factor 5*q**4 + 360*q**3 - 1495*q**2 + 1890*q - 760.
5*(q - 2)*(q - 1)**2*(q + 76)
Find w, given that 2*w**2/5 + 274*w/5 - 556/5 = 0.
-139, 2
What is w in -w**3/4 - 47*w**2/4 + 309*w/4 - 477/4 = 0?
-53, 3
Determine l so that -56*l**5/23 - 166*l**4/23 + 234*l**3/23 + 4*l**2/23 - 16*l/23 = 0.
-4, -1/4, 0, 2/7, 1
What is i in 3*i**4/5 + 6*i**3/5 - 63*i**2/5 + 54*i/5 = 0?
-6, 0, 1, 3
Factor -4*o**2 - 700*o + 7400.
-4*(o - 10)*(o + 185)
Factor -3*w**4 - 15*w**3 - 12*w**2.
-3*w**2*(w + 1)*(w + 4)
Find n such that 2*n**4 - 14*n**3 + 34*n**2 - 34*n + 12 = 0.
1, 2, 3
Suppose -u**5 - 59*u**4 + 125*u**3 + 179*u**2 - 248*u - 244 = 0. What is u?
-61, -1, 2
Find r such that -2*r**5/9 + 10*r**4/9 + 26*r**3/9 + 14*r**2/9 = 0.
-1, 0, 7
Let 98*g**5 - 644*g**4 + 1422*g**3 - 1252*g**2 + 424*g - 48 = 0. Calculate g.
2/7, 1, 2, 3
Suppose p**2 + 14*p + 49 = 0. What is p?
-7
Factor 4*c**3 + 109*c**2 + 315*c + 72.
(c + 3)*(c + 24)*(4*c + 1)
Let -a**2/6 + 1/6 = 0. Calculate a.
-1, 1
Factor 3*b**4 + 464*b**3 + 18095*b**2 + 11858*b.
b*(b + 77)**2*(3*b + 2)
Factor -4*b**3/3 - 4*b**2/3.
-4*b**2*(b + 1)/3
Suppose -4*x**4/3 + 8*x**3 - 128*x/3 = 0. What is x?
-2, 0, 4
Solve -k**2/4 + 39*k/4 = 0.
0, 39
Suppose y**3/4 + 27*y**2/4 + 26*y - 33 = 0. Calculate y.
-22, -6, 1
Find q such that -3*q**4 + 9*q**3 + 6*q**2 - 36*q + 24 = 0.
-2, 1, 2
Factor -6*d**4/7 + 332*d**3/7 - 640*d**2 - 448*d.
-2*d*(d - 28)**2*(3*d + 2)/7
Factor 5*k**2 - 85*k - 840.
5*(k - 24)*(k + 7)
Let -70*f**3/9 - 416*f**2/9 - 202*f/3 + 4 = 0. Calculate f.
-3, 2/35
Suppose 22*s**5/9 + 94*s**4/3 + 454*s**3/9 + 50*s**2/3 - 44*s/9 = 0. What is s?
-11, -1, 0, 2/11
Suppose 2*n**4 - 12*n**3 - 24*n**2 + 76*n - 42 = 0. What is n?
-3, 1, 7
Suppose -4*b**4 + 8*b**3 = 0. Calculate b.
0, 2
Determine l, given that -l**3/4 + l**2/4 = 0.
0, 1
Solve -j**2 + 184*j - 8464 = 0.
92
Factor 4*x**5 - 12*x**4 - 12*x**3 + 44*x**2 - 24*x.
4*x*(x - 3)*(x - 1)**2*(x + 2)
Solve -22*a**2/7 - 674*a/7 + 248/7 = 0 for a.
-31, 4/11
Let -2662*k**4 + 7502*k**3 - 4950*k**2 + 1242*k - 108 = 0. Calculate k.
3/11, 2
Factor 2*h**4/7 + 10*h**3/7 + 2*h**2 + 6*h/7.
2*h*(h + 1)**2*(h + 3)/7
Solve -3*u**4/4 + 9*u**3/2 - 6*u**2 = 0 for u.
0, 2, 4
Determine h so that 45*h**5 + 1065*h**4 + 2450*h**3 - 1550*h**2 - 1695*h - 315 = 0.
-21, -3, -1/3, 1
Factor 15*o**4 - 57*o**3 + 48*o**2 + 12*o.
3*o*(o - 2)**2*(5*o + 1)
Factor 9*d**4 + 177*d**3 + 1149*d**2 + 2715*d + 1350.
3*(d + 5)**2*(d + 9)*(3*d + 2)
Factor 4*c**2 + 456*c + 12996.
4*(c + 57)**2
Factor -16*w**2/11 - 142*w/11 + 18/11.
-2*(w + 9)*(8*w - 1)/11
Find f such that 3*f**2/2 - 325*f/2 - 109 = 0.
-2/3, 109
Solve -i**3/4 + 7*i**2/4 + 17*i/4 + 9/4 = 0.
-1, 9
Factor -5*q**3/2 + 47*q**2/6 - q.
-q*(q - 3)*(15*q - 2)/6
Factor 3*p**3 - 36*p**2 - 3*p + 396.
3*(p - 11)*(p - 4)*(p + 3)
Find l, given that 2*l**4 - 36*l**3 - 80*l**2 = 0.
-2, 0, 20
Factor -2*n**3/3 + 14*n**2 + 30*n - 1350.
-2*(n - 15)**2*(n + 9)/3
Find d, given that d**3/6 - 2*d**2/3 - 5*d/2 + 3 = 0.
-3, 1, 6
Find w such that 2*w**5 + 20*w**4 + 50*w**3 - 72*w = 0.
-6, -3, -2, 0, 1
What is z in -44*z**2/3 - 11932*z/3 - 2168/3 = 0?
-271, -2/11
Factor v**4/6 + 4*v**3 + 20*v**2/3 - 16*v - 88/3.
(v - 2)*(v + 2)**2*(v + 22)/6
Solve 3*t**2 - 324*t + 8748 = 0.
54
Solve -h**4/4 + 17*h**3/2 - 289*h**2/4 = 0.
0, 17
Factor -2*w**3/11 + 92*w**2/11 + 2*w/11 - 92/11.
-2*(w - 46)*(w - 1)*(w