 - 30752/3 = 0. Calculate m.
-124, 1
Factor -5*k**2 + 20*k + 60.
-5*(k - 6)*(k + 2)
Factor -4*y**2 + 2224*y.
-4*y*(y - 556)
Factor -2*g**4/7 + 2*g**3 - 16*g**2/7 - 32*g/7.
-2*g*(g - 4)**2*(g + 1)/7
Factor -2*j**2/9 + 184*j/9 - 2054/9.
-2*(j - 79)*(j - 13)/9
Determine c so that 2*c**5 - 286*c**4 + 10354*c**3 - 8378*c**2 - 60492*c = 0.
-2, 0, 3, 71
Let 3*n**3 - 36*n**2 + 63*n + 294 = 0. What is n?
-2, 7
Solve 2*m**4/7 - 6*m**3/7 + 8*m/7 = 0.
-1, 0, 2
Solve -2*r**5/5 - 12*r**4/5 + 6*r**3 - 16*r**2/5 = 0 for r.
-8, 0, 1
Determine u, given that u**4/6 + 11*u**3/6 + 17*u**2/6 - 11*u/6 - 3 = 0.
-9, -2, -1, 1
Suppose 2*y**2 + 6*y - 20 = 0. Calculate y.
-5, 2
Solve 12*c**5/5 - 5*c**4 + c**3/5 + 2*c**2/5 = 0.
-1/4, 0, 1/3, 2
Factor 476*c**2/3 + 352*c + 208/3.
4*(c + 2)*(119*c + 26)/3
Factor -2*r**3/7 + 54*r**2/7 - 480*r/7 + 200.
-2*(r - 10)**2*(r - 7)/7
Factor -j**3/7 - 157*j**2/7 - 869*j + 6241/7.
-(j - 1)*(j + 79)**2/7
Factor -u**5 - 10*u**4 + 14*u**3 + 28*u**2 - 53*u + 22.
-(u - 1)**3*(u + 2)*(u + 11)
Factor 2*o**2 - 322*o.
2*o*(o - 161)
Solve 3*r**3 - 21*r**2 + 45*r - 27 = 0 for r.
1, 3
Factor -4*q**3 + 28*q**2 + 120*q.
-4*q*(q - 10)*(q + 3)
Factor r**4/8 + 11*r**3/8 + 23*r**2/8 - 35*r/8.
r*(r - 1)*(r + 5)*(r + 7)/8
Let -u**2/12 - 148*u/3 - 21904/3 = 0. What is u?
-296
Factor -d**2/6 + 21*d/2.
-d*(d - 63)/6
Find p such that -2*p**3 + 82*p**2 - 928*p + 3200 = 0.
8, 25
Factor -4*w**3 + 200*w**2 + 848*w + 864.
-4*(w - 54)*(w + 2)**2
Factor 5*k**2 - 300*k + 4500.
5*(k - 30)**2
Factor 5*l**3/4 + 9*l**2/2 + 19*l/4 + 3/2.
(l + 1)*(l + 2)*(5*l + 3)/4
Determine w so that -9*w**2/2 - 1785*w/2 + 597 = 0.
-199, 2/3
Factor 12*z**4 + 1004*z**3 + 2608*z**2 + 1296*z.
4*z*(z + 2)*(z + 81)*(3*z + 2)
Let -100*u**4 - 620*u**3 + 2344*u**2 - 1552*u + 288 = 0. Calculate u.
-9, 2/5, 2
Let -n**2 - 11*n + 242 = 0. Calculate n.
-22, 11
Suppose -3*l**5 - 117*l**4 + 507*l**3 - 387*l**2 = 0. Calculate l.
-43, 0, 1, 3
Factor 3*n**5 - 477*n**4 + 945*n**3 - 471*n**2.
3*n**2*(n - 157)*(n - 1)**2
Solve -h**5/2 + h**4 + 39*h**3/2 + 34*h**2 + 16*h = 0.
-4, -1, 0, 8
What is q in 2*q**5/19 - 14*q**4/19 + 16*q**3/19 + 32*q**2/19 = 0?
-1, 0, 4
Factor 3*r**2/5 - 591*r/5 + 588/5.
3*(r - 196)*(r - 1)/5
Factor 10816*a**3 - 21424*a**2 - 415*a - 2.
(a - 2)*(104*a + 1)**2
Factor -3*s**2/5 + 927*s/5.
-3*s*(s - 309)/5
Find t, given that t**3/2 + 35*t**2/2 - 19*t - 36 = 0.
-36, -1, 2
What is m in -m**2 - 170*m - 7225 = 0?
-85
Factor -24*r**4/5 - 46*r**3/5 - 4*r**2 + 2*r/5.
-2*r*(r + 1)**2*(12*r - 1)/5
Factor -12*n**4 + 76*n**3/3 - 44*n**2/3 + 4*n/3.
-4*n*(n - 1)**2*(9*n - 1)/3
What is v in 27*v**4/8 + 177*v**3/2 + 2991*v**2/8 + 315*v/4 = 0?
-21, -5, -2/9, 0
Factor d**3 - 1468*d**2.
d**2*(d - 1468)
Factor 25*o**3 - 4270*o**2 - 855*o.
5*o*(o - 171)*(5*o + 1)
Factor 3*g**3/5 + 192*g**2/5 - 213*g/5 - 234.
3*(g - 3)*(g + 2)*(g + 65)/5
Factor -5*g**3 - 6370*g**2.
-5*g**2*(g + 1274)
Suppose -4*x**4/3 + 284*x**3/3 - 4588*x**2/3 - 5476*x = 0. Calculate x.
-3, 0, 37
Factor -16245*q**5 - 11856*q**4 + 892*q**3 - 16*q**2.
-q**2*(5*q + 4)*(57*q - 2)**2
Find a such that -6*a**3/17 + 4*a**2/17 + 74*a/17 + 24/17 = 0.
-3, -1/3, 4
Find c, given that 2*c**4/11 + 10*c**3/11 + 8*c**2/11 = 0.
-4, -1, 0
Factor z**2/4 + 75*z/4.
z*(z + 75)/4
Solve 2*v**4/3 + 2*v**3/3 - 10*v**2/3 + 2*v = 0.
-3, 0, 1
Factor 6*y**2 + y.
y*(6*y + 1)
Factor -6*b**3/5 + 4029*b**2/5 - 135072*b - 338688/5.
-3*(b - 336)**2*(2*b + 1)/5
Factor 8*w**4/11 + 80*w**3/11 + 74*w**2/11 + 18*w/11.
2*w*(w + 9)*(2*w + 1)**2/11
Determine b so that b**2/4 + 52*b + 2704 = 0.
-104
Factor 7*m**4 + 26*m**3 - 8*m**2.
m**2*(m + 4)*(7*m - 2)
Factor 5*u**2/4 - 5*u/2 - 15/4.
5*(u - 3)*(u + 1)/4
Determine u so that -28*u**5 + 344*u**4 + 380*u**3 - 1480*u**2 - 1072*u + 416 = 0.
-2, -1, 2/7, 2, 13
Solve -4*z**4 + 160*z**3 - 596*z**2 + 728*z - 288 = 0 for z.
1, 2, 36
Solve -3*v**4 + 111*v**3 - 1080*v**2 + 972*v = 0.
0, 1, 18
Factor 4*k**5 + 200*k**4 - 412*k**3 + 208*k**2.
4*k**2*(k - 1)**2*(k + 52)
Factor -3*p**4 - 180*p**3 + 3*p**2 + 180*p.
-3*p*(p - 1)*(p + 1)*(p + 60)
Factor -2*x**3/3 + 2302*x**2/3 - 9184*x/3 + 9176/3.
-2*(x - 1147)*(x - 2)**2/3
Solve -x**3/3 + 11*x**2/3 + 40*x/3 + 28/3 = 0 for x.
-2, -1, 14
Factor -3*t**3 - 9*t**2 + 48*t + 144.
-3*(t - 4)*(t + 3)*(t + 4)
What is w in 3*w**3/7 - 342*w**2/7 - 201*w - 1062/7 = 0?
-3, -1, 118
Suppose -5*n**2 + 50*n + 195 = 0. What is n?
-3, 13
Factor -4*u**4/7 - 12*u**3 + 180*u**2/7 - 92*u/7.
-4*u*(u - 1)**2*(u + 23)/7
Suppose 3*f**5/4 - 9*f**3/4 + 3*f**2/2 = 0. What is f?
-2, 0, 1
Factor -w**3 + 2085*w**2 - 1449075*w + 335702375.
-(w - 695)**3
Find s such that -2*s**3 + 776*s**2 + 3942*s - 4716 = 0.
-6, 1, 393
Factor -v**3/3 + 742*v**2/3 - 739*v.
-v*(v - 739)*(v - 3)/3
Factor -5*a**3 - 7445*a**2 - 2775120*a - 2767680.
-5*(a + 1)*(a + 744)**2
Determine a, given that a**4/5 + 107*a**3/5 + 2806*a**2/5 - 3132*a/5 - 5832/5 = 0.
-54, -1, 2
Factor t**2/2 + 159*t/2.
t*(t + 159)/2
Solve -985*h**4 - 8461*h**3 + 13482*h**2 - 4076*h + 40 = 0.
-10, 2/197, 2/5, 1
Factor -2*n**2/7 + 178*n/7 - 996/7.
-2*(n - 83)*(n - 6)/7
Factor -k**3/4 - 2*k**2 - 9*k/4 + 9/2.
-(k - 1)*(k + 3)*(k + 6)/4
Let -546*o**2/23 - 4*o/23 = 0. Calculate o.
-2/273, 0
Find z, given that -25*z**4 - 4140*z**3 + 1685*z**2 + 4140*z - 1660 = 0.
-166, -1, 2/5, 1
Let 2*z**2 - 34*z + 104 = 0. What is z?
4, 13
Suppose -2*i**5/7 - 2*i**4 + 22*i**3/7 + 46*i**2/7 - 20*i/7 - 32/7 = 0. What is i?
-8, -1, 1, 2
Factor 3*g**5 - 15*g**4 - 18*g**3 + 114*g**2 - 129*g + 45.
3*(g - 5)*(g - 1)**3*(g + 3)
Solve -7*c**2/2 + 4*c + 40 = 0 for c.
-20/7, 4
Determine z, given that -2*z**2/7 - 44*z/7 + 96/7 = 0.
-24, 2
Factor -9*y**4 + 1375*y**3 - 51669*y**2 - 64911*y - 11858.
-(y - 77)**2*(y + 1)*(9*y + 2)
Solve -876*w**2 + 3512*w - 32 = 0.
2/219, 4
Let -r**3/4 - 19*r**2/2 - 18*r = 0. Calculate r.
-36, -2, 0
Suppose 80089*w**2/9 - 15848*w/9 + 784/9 = 0. Calculate w.
28/283
Suppose 3*l**4 + 12*l**3 + 18*l**2 + 12*l + 3 = 0. What is l?
-1
Factor -5*n**4 - 50*n**3 + 45*n**2 + 450*n.
-5*n*(n - 3)*(n + 3)*(n + 10)
Let -2*s**2 - 370*s - 4788 = 0. What is s?
-171, -14
Factor -2*d**2/13 - 254*d/13 - 1904/13.
-2*(d + 8)*(d + 119)/13
Factor -w**2/2 + 79*w/2 - 39.
-(w - 78)*(w - 1)/2
Factor -3*q**4/4 - 30*q**3.
-3*q**3*(q + 40)/4
Find m, given that -3*m**3/5 + 4953*m**2/5 - 2041872*m/5 - 2046828/5 = 0.
-1, 826
Factor 2*c**4/9 + 8*c**3/9 + 4*c**2/9 - 8*c/9 - 2/3.
2*(c - 1)*(c + 1)**2*(c + 3)/9
Factor -3*j**2/4 - 204*j + 411.
-3*(j - 2)*(j + 274)/4
Factor 2*p**3/9 + 2*p**2/9 - 8*p/9 - 8/9.
2*(p - 2)*(p + 1)*(p + 2)/9
Let -2*n**4/7 + 26*n**2/7 - 24*n/7 = 0. What is n?
-4, 0, 1, 3
Factor 4*q**3/3 + 16*q**2 - 316*q/3 + 136.
4*(q - 3)*(q - 2)*(q + 17)/3
Solve 2*t**4 - 104*t**3 - 1692*t**2 + 104*t + 1690 = 0 for t.
-13, -1, 1, 65
Factor 7*f**2/3 + 43*f/3 - 14.
(f + 7)*(7*f - 6)/3
Factor 3*a**4 - 12*a**3 - 6*a**2 + 36*a + 27.
3*(a - 3)**2*(a + 1)**2
Find s such that -5*s**4 - 30*s**3 + 555*s**2 - 1700*s + 1500 = 0.
-15, 2, 5
Suppose -2*c**2/19 - 88*c/19 + 126 = 0. Calculate c.
-63, 19
Factor 98*d**3/19 - 630*d**2/19 - 384*d/19 - 56/19.
2*(d - 7)*(7*d + 2)**2/19
Solve 2*h**5 - 8*h**4 - 18*h**3 + 80*h**2 - 8*h - 96 = 0 for h.
-3, -1, 2, 4
What is b in 21*b**2/2 - 27*b/2 + 3 = 0?
2/7, 1
Let -2*q**2/3 + 58*q/3 + 260 = 0. Calculate q.
-10, 39
Factor 5*k**3 - 55*k**2 - 465*k - 765.
5*(k - 17)*(k + 3)**2
Factor -450*k**2 + 40*k - 8/9.
-2*(45*k - 2)**2/9
Find t such that -2*t**5/5 - 12*t**4/5 + 84*t**3/5 + 16*t**2/5 - 258*t/5 - 36 = 0.
-10, -1, 3
Factor q**2 - 50*q + 625.
(q - 25)**2
Factor v**4 + 8*v**3 - 15*v**2 - 54*v.
v*(v - 3)*(v + 2)*(v + 9)
What is n in -10*n**3/3 - 244*n**2/3 - 1496*n/3 - 560/3 = 0?
-14, -10, -2/5
Solve -9*w**3 + 57*w**2 + 225*w - 81 = 0 for w.
-3, 1/3, 9
Factor c**4/4 + 7*c**3/4 + 7*c**2/2 + 2*c.
c*(c + 1)*(c + 2)*(c + 4)/4
Suppose -k**3 + 96*k**2 + 619*k - 714 = 0. What is k?
-7, 1, 102
Solve 4*n**3 + 60*n**2 = 0.
-15, 0
Factor -y**4 + 9*y**3.
-y**3*(y - 9)
Factor -j**3/4 - 337*j**2/4 - 7140*j - 7056.
-(j + 1)*(j + 168)**2/4
Find p such that -11*p**5/4 - 1245*p**4/4 - 2679*p**3/4 - 1667*p**2/4 - 111*p/2 = 0.
-111, -1, -2/11, 0
Factor 12*j**3 + 1089*j**2 - 3657*j + 846.
3*(j - 3)*(j + 94)*(4*j - 1)
Find d, given that -2*d**5/3 + 4*d**3 - 16*d**2/3 + 2*d = 0.
-3, 0, 1
Determine m, given that 3*m*