
Factor p**4/3 - 7*p**3/3 + 10*p**2/3.
p**2*(p - 5)*(p - 2)/3
Solve 6*m**5 + 68*m**4 + 12*m**3 - 112*m**2 - 18*m + 44 = 0.
-11, -1, 2/3, 1
Factor -2*z**2 - 2524*z.
-2*z*(z + 1262)
Factor 5*q**4 - 35*q**3 + 40*q**2 + 80*q.
5*q*(q - 4)**2*(q + 1)
Factor p**4 - p**3 - 2*p**2.
p**2*(p - 2)*(p + 1)
Determine v, given that -10*v**3/3 - 292*v**2 - 6336*v + 7744/3 = 0.
-44, 2/5
Suppose -5*n**2 - 270*n - 1440 = 0. Calculate n.
-48, -6
What is j in 2*j**2/3 + 38*j = 0?
-57, 0
Factor -f**2/4 + 5*f/2 + 11/4.
-(f - 11)*(f + 1)/4
Factor b**3/4 + 13*b**2 + 49*b + 48.
(b + 2)**2*(b + 48)/4
Determine t, given that 3*t**5 + 3*t**4 - 21*t**3 - 3*t**2 + 18*t = 0.
-3, -1, 0, 1, 2
Factor 3*z**4/2 - 3*z**3 - 9*z**2/2.
3*z**2*(z - 3)*(z + 1)/2
Factor 5*g**3 + 110*g**2 + 295*g + 190.
5*(g + 1)*(g + 2)*(g + 19)
Factor s**2 - 3*s - 180.
(s - 15)*(s + 12)
Determine j so that 3*j**2 - 30*j + 63 = 0.
3, 7
Factor -11*c**4 - 46*c**3 + 300*c**2 - 296*c - 64.
-(c - 2)**2*(c + 8)*(11*c + 2)
Suppose -m**4/4 - 21*m**3/4 - 34*m**2 - 69*m - 40 = 0. Calculate m.
-10, -8, -2, -1
Find w, given that 3*w**4/4 + 3*w**3/2 - 33*w**2/4 - 9*w + 27 = 0.
-3, 2
Solve i**2 + 9*i + 8 = 0 for i.
-8, -1
Let -h**4 + 4*h**3 - 5*h**2 + 2*h = 0. What is h?
0, 1, 2
Factor 5*v**3 - 85*v**2 + 150*v.
5*v*(v - 15)*(v - 2)
Solve 5*i**4 + 78*i**3 - 127*i**2 - 132*i + 68 = 0 for i.
-17, -1, 2/5, 2
Determine y, given that y**3/4 + 28*y**2 - 113*y/4 = 0.
-113, 0, 1
Let 5*n**3 + 1198*n**2/5 + 14304*n/5 - 1152/5 = 0. Calculate n.
-24, 2/25
Factor y**3/3 + 8*y**2 - 79*y/3 + 18.
(y - 2)*(y - 1)*(y + 27)/3
Solve -2*y**3 - 16*y**2/3 + 82*y/3 + 20 = 0.
-5, -2/3, 3
Factor -d**2/2 + 125*d/2 - 123.
-(d - 123)*(d - 2)/2
Determine q, given that 5*q**4 + 500*q**3 + 12495*q**2 - 500*q - 12500 = 0.
-50, -1, 1
Factor -j**3/4 - 13*j**2/4 + 17*j.
-j*(j - 4)*(j + 17)/4
Factor 2*o**2/11 - 102*o/11 + 100/11.
2*(o - 50)*(o - 1)/11
Find n, given that -5*n**4 + 3050*n**3 - 483065*n**2 + 5471700*n - 16092180 = 0.
6, 299
Factor 2*u**3 + 244*u**2 - 250*u - 492.
2*(u - 2)*(u + 1)*(u + 123)
Find j such that 6724*j**2 - 984*j + 36 = 0.
3/41
Factor 4*d**5 + 1296*d**4 + 13916*d**3 + 45136*d**2 + 19776*d - 80128.
4*(d - 1)*(d + 4)**3*(d + 313)
Solve z**3 + 84*z**2 + 1989*z + 9126 = 0.
-39, -6
Determine k so that 2*k**5/7 + 608*k**4/7 - 6*k**3/7 - 1828*k**2/7 - 1216*k/7 = 0.
-304, -1, 0, 2
Suppose -4*h**3 - 360*h**2 - 8448*h - 15488 = 0. Calculate h.
-44, -2
Factor -9*g**4/2 - 77*g**3/2 - 207*g**2/2 - 135*g/2 + 54.
-(g + 3)**3*(9*g - 4)/2
Factor -35*m**3 + 5*m**2 + 35*m - 5.
-5*(m - 1)*(m + 1)*(7*m - 1)
Factor 2*s**2/3 - 1048*s/3 - 2120.
2*(s - 530)*(s + 6)/3
Factor f**3/2 - 13*f**2/2 - 42*f - 54.
(f - 18)*(f + 2)*(f + 3)/2
Factor 32*h**5/3 - 16*h**4/3 + 2*h**3/3.
2*h**3*(4*h - 1)**2/3
Suppose g**2/2 + 30*g + 171/2 = 0. What is g?
-57, -3
Factor -2*g**4/9 - 400*g**3/9 - 2992*g**2 - 69696*g - 127776.
-2*(g + 2)*(g + 66)**3/9
Suppose -6*h**3/17 - 154*h**2 - 286016*h/17 - 95048/17 = 0. What is h?
-218, -1/3
Let 3*z**2/4 + 177*z + 705/4 = 0. What is z?
-235, -1
Let -25*h**5 - 290*h**4 + 1245*h**3 - 550*h**2 - 1460*h + 600 = 0. What is h?
-15, -1, 2/5, 2
Determine w, given that 3*w**4 + 42*w**3 + 39*w**2 = 0.
-13, -1, 0
Find k, given that 5*k**3/7 - 11*k**2/7 - 4*k/7 + 12/7 = 0.
-1, 6/5, 2
Factor 22*z**3 + 40*z**2 + 14*z - 4.
2*(z + 1)**2*(11*z - 2)
Factor w**3/2 + 147*w**2/2 - 2*w - 294.
(w - 2)*(w + 2)*(w + 147)/2
Determine z so that 4*z**5/3 - 58*z**4/3 + 76*z**3/3 + 32*z**2/3 - 80*z/3 + 26/3 = 0.
-1, 1/2, 1, 13
Factor 12*r**4 + 100*r**3 + 116*r**2 + 28*r.
4*r*(r + 1)*(r + 7)*(3*r + 1)
Find g, given that -40*g**5/3 - 228*g**4 + 764*g**3 - 2372*g**2/3 + 268*g = 0.
-201/10, 0, 1
Factor k**2 - 4*k.
k*(k - 4)
Find w, given that 3*w**3 - 42*w**2 - 51*w + 90 = 0.
-2, 1, 15
Factor 2*w**5 - 358*w**4 + 15476*w**3 + 48596*w**2 + 49322*w + 16562.
2*(w - 91)**2*(w + 1)**3
Factor 2*s**2/7 + 18*s/7.
2*s*(s + 9)/7
Solve -i**4/2 - 89*i**3/2 = 0 for i.
-89, 0
Factor 2*j**2/21 + 38*j/21 + 12/7.
2*(j + 1)*(j + 18)/21
Factor 5*m**2 - 280*m + 3920.
5*(m - 28)**2
Factor 20*g**4 + 10*g**3 - 35*g**2/4 + 5*g/4.
5*g*(g + 1)*(4*g - 1)**2/4
Factor -2*m**5 - 4*m**4 + 12*m**3 + 8*m**2 - 26*m + 12.
-2*(m - 1)**3*(m + 2)*(m + 3)
Let s**2/5 + 84*s/5 + 243/5 = 0. What is s?
-81, -3
Factor -2*g**4/5 + 68*g**3/5 - 186*g**2/5.
-2*g**2*(g - 31)*(g - 3)/5
Factor j**2 - j.
j*(j - 1)
Factor a**2/2 + 18*a - 37/2.
(a - 1)*(a + 37)/2
What is v in 2*v**2/11 + 84*v/11 - 16 = 0?
-44, 2
Find x, given that 6*x**5 - 15*x**4 - 12*x**3 + 9*x**2 = 0.
-1, 0, 1/2, 3
Find l such that l**2 - 12540*l + 39312900 = 0.
6270
Find x such that 4*x**2 - 64 = 0.
-4, 4
Find w such that 2*w**2/11 + 26*w/11 = 0.
-13, 0
Factor 6*d**5 - 26*d**4 + 44*d**3 - 36*d**2 + 14*d - 2.
2*(d - 1)**4*(3*d - 1)
Solve d**5 - 12*d**4 + 45*d**3 - 50*d**2 = 0 for d.
0, 2, 5
Find y, given that 27*y**5 + 963*y**4 + 9354*y**3 + 13722*y**2 + 6171*y + 867 = 0.
-17, -1, -1/3
Solve 25*a**4/2 + 45*a**3/2 - 6*a**2 - 2*a = 0 for a.
-2, -1/5, 0, 2/5
Find m such that m**2/3 + 100*m/3 - 103 = 0.
-103, 3
Find h, given that 8*h**5 - 44*h**4 - 28*h**3 + 24*h**2 = 0.
-1, 0, 1/2, 6
Solve -2*x**4/11 + 6*x**3/11 + 18*x**2/11 + 10*x/11 = 0.
-1, 0, 5
Factor f**2 - 21*f + 98.
(f - 14)*(f - 7)
Factor 2*j**2/7 - 346*j/7 + 684/7.
2*(j - 171)*(j - 2)/7
Let -10*y**5 + 45*y**4 + 30*y**3 - 25*y**2 = 0. What is y?
-1, 0, 1/2, 5
Factor -4*x**5/7 - 8*x**4/7 + 12*x**3/7.
-4*x**3*(x - 1)*(x + 3)/7
Factor i**2 + 9*i.
i*(i + 9)
Determine n, given that 22*n**5/7 - 194*n**4/7 + 426*n**3/7 - 334*n**2/7 + 8*n + 24/7 = 0.
-2/11, 1, 6
Determine s, given that 3*s**2/7 + 780*s + 354900 = 0.
-910
Factor 3*d**4 - 15*d**3 - 33*d**2 + 99*d - 54.
3*(d - 6)*(d - 1)**2*(d + 3)
Let 2*z**5 - 3*z**4 - 20*z**3 - 5*z**2 + 18*z + 8 = 0. What is z?
-2, -1, -1/2, 1, 4
Suppose -k**2/3 + 4/3 = 0. What is k?
-2, 2
Solve -3*i**3 + 264*i**2 - 5535*i - 12150 = 0.
-2, 45
Determine i so that 4*i**4 + 168*i**3 + 160*i**2 - 168*i - 164 = 0.
-41, -1, 1
Suppose -64*r**2 + 2784*r - 30276 = 0. What is r?
87/4
Factor -3*i**4 + 57*i**3 - 270*i**2 + 492*i - 312.
-3*(i - 13)*(i - 2)**3
Factor u**2/5 + 2*u - 24/5.
(u - 2)*(u + 12)/5
Find o such that -5*o**2 - 310*o + 2040 = 0.
-68, 6
Let 6*l**5/17 - 16*l**4/17 + 2*l**3/17 + 16*l**2/17 - 8*l/17 = 0. What is l?
-1, 0, 2/3, 1, 2
What is d in 2*d**4/7 - 254*d**3/7 - 2*d**2/7 + 254*d/7 = 0?
-1, 0, 1, 127
Suppose -2*m**3/19 - 716*m**2/19 - 63360*m/19 + 129600/19 = 0. Calculate m.
-180, 2
Determine r, given that 2*r**4 - 29*r**3/2 + 35*r**2/2 + 53*r/2 - 15/2 = 0.
-1, 1/4, 3, 5
Let -z**5/3 - 37*z**4 - 3134*z**3/3 - 2914*z**2/3 + 1045*z + 3025/3 = 0. Calculate z.
-55, -1, 1
Factor 4*w**3 - 60*w**2 + 192*w - 176.
4*(w - 11)*(w - 2)**2
Find j, given that -83*j**2 - 251*j - 6 = 0.
-3, -2/83
Factor -3*d**2/5 + 1073*d/5 - 714/5.
-(d - 357)*(3*d - 2)/5
Suppose -17*c**4/2 + 50*c**3 - 141*c**2/2 + 25*c + 4 = 0. What is c?
-2/17, 1, 4
Determine k so that k**3/5 + 129*k**2/5 - 261*k/5 + 131/5 = 0.
-131, 1
Factor 3*l**4 - 123*l**3 + 825*l**2 + 11247*l - 38088.
3*(l - 23)**2*(l - 3)*(l + 8)
Factor 4*i**3 + 28*i**2 + 24*i.
4*i*(i + 1)*(i + 6)
Factor 3*s**2 - 15*s + 12.
3*(s - 4)*(s - 1)
Determine h so that -2*h**4 - 2*h**3 + 4*h**2 = 0.
-2, 0, 1
Factor 2*x**3 - 2*x.
2*x*(x - 1)*(x + 1)
Factor -y**2/2 - 169*y/2 + 85.
-(y - 1)*(y + 170)/2
Factor 2*k**2 - 130*k + 708.
2*(k - 59)*(k - 6)
Suppose 2*f**2/21 - 88*f/21 - 30/7 = 0. What is f?
-1, 45
Let 2*b**4/13 - 106*b**3/13 + 1836*b**2/13 - 9720*b/13 - 11664/13 = 0. Calculate b.
-1, 18
Factor -2*y**2 + 60*y - 450.
-2*(y - 15)**2
Suppose -5*j**2 - 90*j + 95 = 0. Calculate j.
-19, 1
Factor 2*x**4/3 - 14*x**3/3 + 16*x**2/3 + 32*x/3.
2*x*(x - 4)**2*(x + 1)/3
Let 10*q**2/13 + 244*q/13 + 96/13 = 0. What is q?
-24, -2/5
What is j in 21*j**3 + 3858*j**2 + 2739*j - 1098 = 0?
-183, -1, 2/7
Factor -4*h**3 + 2052*h**2 - 266220*h + 780300.
-4*(h - 255)**2*(h - 3)
Factor 6*p**2 - 416*p/5 - 56/5.
2*(p - 14)*(15*p + 2)/5
Factor 5*n**2 - 20*n - 25.
5*(n - 5)*(n + 1)
Determine s, given that -2*s**4/9 - 2*s**3/3 + 16*s**2/9 + 8*s/3 - 32/9 = 0.
-4, -2, 1, 2
Factor 3*o**4 - 1080*o**3 + 4284*o**2 - 4272*o.
3*o*(o - 356)*(o - 2)**2
Factor 3*i**5 - 39*i**4 - 618*i**3 - 1590*i**2 - 1497*i - 483.
3*(i - 23)*(i + 1)**3*(i + 7)
Let -a**3/2 - 19*a**2/8 - 7*a/2 -