096218 = 0.
1269
Determine m so that -2*m**2/17 + 240*m/17 - 7200/17 = 0.
60
Suppose 5*l**3 - 90*l**2 + 540*l - 1080 = 0. What is l?
6
Factor -5*o**2/2 + 115*o/6 - 35/3.
-5*(o - 7)*(3*o - 2)/6
Factor 2*s**3/7 + 6*s**2/7.
2*s**2*(s + 3)/7
Determine c, given that 5*c**3 - 80*c**2 + 140*c = 0.
0, 2, 14
Factor 5*j**5 + 20*j**4 - 35*j**3 - 50*j**2.
5*j**2*(j - 2)*(j + 1)*(j + 5)
What is w in -4*w**3 + 764*w**2 - 752*w - 1520 = 0?
-1, 2, 190
Factor 15*c**4/4 - 95*c**3/4 + 15*c**2/2.
5*c**2*(c - 6)*(3*c - 1)/4
Factor 4*k**2 - 180*k + 176.
4*(k - 44)*(k - 1)
Factor -t**2/4 - 221*t/2 - 48841/4.
-(t + 221)**2/4
Factor 39*j**2/2 + 132*j + 216.
3*(j + 4)*(13*j + 36)/2
Determine l so that 4*l**4 + 24*l**3 - 60*l**2 + 32*l = 0.
-8, 0, 1
Find r, given that -125*r**4 + 2900*r**3 - 14495*r**2 - 13020*r - 2700 = 0.
-2/5, 9, 15
Factor 5*g**2 + 2325*g.
5*g*(g + 465)
Factor -8*c**2 - 490*c - 122.
-2*(c + 61)*(4*c + 1)
Factor -2*r**2 + 8*r.
-2*r*(r - 4)
Solve -t**3/3 - t**2/3 + 176*t/3 + 320 = 0.
-8, 15
Determine d so that 4*d**2 - 2260*d - 9104 = 0.
-4, 569
Suppose -v**2/5 + 68*v/5 + 213/5 = 0. Calculate v.
-3, 71
Let -2*r**3/3 - 50*r**2/3 - 308*r/3 = 0. Calculate r.
-14, -11, 0
Factor 3*b**4 - 27*b**3 + 87*b**2 - 117*b + 54.
3*(b - 3)**2*(b - 2)*(b - 1)
Factor -4*t**2 + 110*t - 54.
-2*(t - 27)*(2*t - 1)
Factor -3*n**2 - 3*n + 6.
-3*(n - 1)*(n + 2)
Factor 3*c**3 + 1785*c**2 + 1776*c - 3564.
3*(c - 1)*(c + 2)*(c + 594)
Let 22*h**5 - 40*h**4 - 118*h**3 + 112*h**2 + 24*h = 0. What is h?
-2, -2/11, 0, 1, 3
Factor -4*y**5 - 44*y**4 - 40*y**3 + 424*y**2 - 532*y + 196.
-4*(y - 1)**3*(y + 7)**2
Solve -4*n**5 + 18*n**4 + 106*n**3 + 62*n**2 - 102*n - 80 = 0.
-5/2, -1, 1, 8
Determine b, given that -b**4 + 11*b**3 - 25*b**2 - 39*b + 126 = 0.
-2, 3, 7
Factor 5*p**3 - 6035*p**2 + 1818040*p + 1824080.
5*(p - 604)**2*(p + 1)
Factor 154*k**2 - 292*k - 32.
2*(k - 2)*(77*k + 8)
Find b such that -4*b**3 - 360*b**2 - 1376*b = 0.
-86, -4, 0
Factor -l**4/3 + l**3 + 3*l**2 - 23*l/3 + 4.
-(l - 4)*(l - 1)**2*(l + 3)/3
Suppose -144*d**5 - 84*d**4 + 356*d**3 - 116*d**2 - 20*d + 8 = 0. Calculate d.
-2, -1/4, 1/3, 1
Let 4*o**4 + 160*o**3 - 688*o**2 + 704*o = 0. What is o?
-44, 0, 2
Factor 2*n**2/5 - 176*n/5.
2*n*(n - 88)/5
Solve 38*w**3 + 870*w**2 + 744*w - 88 = 0 for w.
-22, -1, 2/19
Factor -y**2/4 + 3*y/2 + 27/4.
-(y - 9)*(y + 3)/4
Factor -2*w**3/9 - 38*w**2/9 - 100*w/9 - 64/9.
-2*(w + 1)*(w + 2)*(w + 16)/9
Let 980*k**4 + 67165*k**3 + 1089290*k**2 - 2152500*k - 605160 = 0. Calculate k.
-246/7, -1/4, 2
Factor 5*t**3/3 + 770*t**2/3 + 255*t.
5*t*(t + 1)*(t + 153)/3
Find t, given that -t**3/3 + 14*t**2/3 - 13*t/3 = 0.
0, 1, 13
Find i, given that 4*i**5/3 + 32*i**4/3 + 12*i**3 - 152*i**2/3 - 160*i/3 = 0.
-5, -4, -1, 0, 2
Factor -3*o**3 + 30*o**2 - 81*o + 54.
-3*(o - 6)*(o - 3)*(o - 1)
Determine b, given that -4*b**4 - 728*b**3 - 33844*b**2 - 65520*b - 32400 = 0.
-90, -1
Let 6*f**3 - 165*f**2 - 84*f = 0. Calculate f.
-1/2, 0, 28
Find p, given that 5*p**3 + 3590*p**2 + 644405*p = 0.
-359, 0
Determine s, given that 4*s**4/5 + 4*s**3/5 - 32*s**2 - 448*s/5 = 0.
-4, 0, 7
Find o such that 2*o**2/3 - 22*o + 60 = 0.
3, 30
Suppose -5*u**3 - 970*u**2 = 0. What is u?
-194, 0
Factor 44*y**4 - 960*y**3 + 5148*y**2 + 968*y.
4*y*(y - 11)**2*(11*y + 2)
Find k, given that k**5/4 - 27*k**4/2 + 39*k**3 - 77*k**2/2 + 51*k/4 = 0.
0, 1, 51
Solve 4*g**5 - 8*g**4 - 72*g**3 + 272*g**2 - 316*g + 120 = 0.
-5, 1, 2, 3
Let 3*h**3/5 + 27*h**2/5 + 12*h + 36/5 = 0. What is h?
-6, -2, -1
Find y, given that -y**2/3 + 7*y - 38/3 = 0.
2, 19
Determine c so that 2*c**5 - 8*c**4 + 6*c**3 + 8*c**2 - 8*c = 0.
-1, 0, 1, 2
Factor -2*f**3/15 + 58*f**2/15 + 64*f/15 - 8.
-2*(f - 30)*(f - 1)*(f + 2)/15
Suppose 4*y**2 + 2292*y - 2296 = 0. Calculate y.
-574, 1
Factor 3*c**3/4 + 81*c**2/4 + 141*c/4 - 225/4.
3*(c - 1)*(c + 3)*(c + 25)/4
Factor -2*m**4 + 42*m**3 - 286*m**2 + 630*m.
-2*m*(m - 9)*(m - 7)*(m - 5)
Factor 54*f**2/7 - 150*f/7 + 100/7.
2*(3*f - 5)*(9*f - 10)/7
Factor -2*s**3/5 - 436*s**2/5 - 344*s - 1712/5.
-2*(s + 2)**2*(s + 214)/5
Factor -4*d**5 - 4*d**4 + 56*d**3 - 104*d**2 + 76*d - 20.
-4*(d - 1)**4*(d + 5)
Determine y so that -y**4 + 7*y**3 - 6*y**2 - 32*y + 32 = 0.
-2, 1, 4
Factor -3*b**3 + 9*b**2 - 9*b + 3.
-3*(b - 1)**3
Factor 5*p**4 + 1305*p**3 + 113535*p**2 + 3292515*p.
5*p*(p + 87)**3
Solve -a**3 + 78*a**2 - 1785*a + 9800 = 0.
8, 35
What is g in -60*g**3 + 860*g**2 - 255*g - 350 = 0?
-1/2, 5/6, 14
Factor -w**2/5 - 32*w/5 - 112/5.
-(w + 4)*(w + 28)/5
Let 3*p**3 + 33*p**2 + 57*p + 27 = 0. Calculate p.
-9, -1
Factor 3*o**3 + 18*o**2 + 15*o.
3*o*(o + 1)*(o + 5)
Let 3*z**5/8 + 9*z**4/8 - 27*z**3/8 - 81*z**2/8 = 0. Calculate z.
-3, 0, 3
Solve 5*j**2 - 195*j + 540 = 0 for j.
3, 36
Factor s**2/7 - 62*s + 864/7.
(s - 432)*(s - 2)/7
Solve -f**4 - 10*f**3 - 27*f**2 - 2*f + 40 = 0.
-5, -4, -2, 1
Determine l so that -5*l**5 - 10*l**4 + 15*l**3 + 20*l**2 - 20*l = 0.
-2, 0, 1
Solve 5*k**2 + 475*k = 0 for k.
-95, 0
Factor -3*r**5/5 + 6*r**4 - 99*r**3/5 + 24*r**2 - 48*r/5.
-3*r*(r - 4)**2*(r - 1)**2/5
Factor -1458*g**4/7 - 2430*g**3/7 + 918*g**2/7 - 106*g/7 + 4/7.
-2*(g + 2)*(9*g - 1)**3/7
Factor 3*o**3 + 285*o**2 + 7176*o + 19044.
3*(o + 3)*(o + 46)**2
Let 2*s**4/5 + 8*s**3/5 + 6*s**2/5 - 8*s/5 - 8/5 = 0. What is s?
-2, -1, 1
Let -y**4 + 23*y**3/3 - 40*y**2/3 - 16*y/3 = 0. What is y?
-1/3, 0, 4
Factor 3*l**3 + 6*l**2 - 21*l + 12.
3*(l - 1)**2*(l + 4)
Let 2*s**4 + 80*s**3 + 152*s**2 = 0. Calculate s.
-38, -2, 0
Factor -3*j**3/4 + 12*j**2 - 45*j/4.
-3*j*(j - 15)*(j - 1)/4
Factor -2*s**3/9 + 2704*s**2/9 + 5416*s/9.
-2*s*(s - 1354)*(s + 2)/9
Determine s, given that -2*s**5/7 + 934*s**4/7 - 110414*s**3/7 + 314602*s**2/7 + 964192*s/7 + 538240/7 = 0.
-1, 5, 232
Factor -2*y**2 + 44*y.
-2*y*(y - 22)
Factor 3*h**3 + 636*h**2 + 11820*h + 57600.
3*(h + 10)**2*(h + 192)
Suppose -3*l**3 + 36*l**2 + 39*l = 0. Calculate l.
-1, 0, 13
Factor -58*i**2/5 + 18*i/5 + 8.
-2*(i - 1)*(29*i + 20)/5
Factor -6*g**3/5 - 8*g**2/5 + 56*g/5 - 32/5.
-2*(g - 2)*(g + 4)*(3*g - 2)/5
Let -y**2/2 - y - 1/2 = 0. What is y?
-1
Factor -p**5/2 - 323*p**4/2 - 17334*p**3 - 612360*p**2 + 629856*p.
-p*(p - 1)*(p + 108)**3/2
Factor 4*x**3 - 324*x**2 + 3032*x + 3360.
4*(x - 70)*(x - 12)*(x + 1)
Factor 4*b**2 + 72*b + 324.
4*(b + 9)**2
What is a in 5*a**4 + 150*a**3 + 1405*a**2 + 3480*a - 5040 = 0?
-12, -7, 1
Let -2*a**4 - 12*a**3 - 8*a**2 + 48*a + 64 = 0. What is a?
-4, -2, 2
Suppose 3*v**5/8 - 37*v**4/8 + 129*v**3/8 - 123*v**2/8 + 7*v/2 = 0. What is v?
0, 1/3, 1, 4, 7
Factor -3*o**2 - 81*o + 84.
-3*(o - 1)*(o + 28)
What is b in b**3 - 11*b**2 + 39*b - 45 = 0?
3, 5
Solve -4*k**4/3 + 116*k**3 + 480*k**2 + 1456*k/3 = 0 for k.
-2, 0, 91
Find f such that f**5 - 20*f**4 + 53*f**3 + 458*f**2 + 672*f + 288 = 0.
-2, -1, 12
Factor -w**2/2 - 2234*w - 2495378.
-(w + 2234)**2/2
Factor -5*l**2 - 170*l - 165.
-5*(l + 1)*(l + 33)
Factor -5*n**4 + 30*n**3 - 20*n**2 - 30*n + 25.
-5*(n - 5)*(n - 1)**2*(n + 1)
Factor 2*r**4 - 178*r**3.
2*r**3*(r - 89)
Factor 5*r**4 - 345*r**3 + 630*r**2 + 2680*r.
5*r*(r - 67)*(r - 4)*(r + 2)
Solve -r**3/2 - 53*r**2/2 - 76*r - 50 = 0.
-50, -2, -1
Solve 15*p**5/4 + 33*p**4/2 + 39*p**3/4 - 21*p**2 - 9*p = 0.
-3, -2, -2/5, 0, 1
What is y in -2*y**3 - 88*y**2 + 90*y = 0?
-45, 0, 1
Factor -13*l**3/10 - 19*l**2/5 - 23*l/10 + 1/5.
-(l + 1)*(l + 2)*(13*l - 1)/10
Find c, given that c**2/2 - 23*c + 44 = 0.
2, 44
Factor 2*d**2/9 + 160*d/9 - 406/3.
2*(d - 7)*(d + 87)/9
Factor 4*a**3/5 - 18*a**2/5 - 12*a/5 + 2.
2*(a - 5)*(a + 1)*(2*a - 1)/5
Factor o**2/5 - 4*o - 156/5.
(o - 26)*(o + 6)/5
Determine w so that 2*w**2 - 95*w + 47 = 0.
1/2, 47
Factor 5*m**3 + 140*m**2 - 620*m + 640.
5*(m - 2)**2*(m + 32)
Factor -5*r**3 - 280*r**2 + 5*r + 280.
-5*(r - 1)*(r + 1)*(r + 56)
Factor 5*y**2 - 3360*y + 564480.
5*(y - 336)**2
Factor t**5/5 + 27*t**4/5 - 438*t**3/5 + 1142*t**2/5 - 1083*t/5 + 351/5.
(t - 9)*(t - 1)**3*(t + 39)/5
Let -3*y**5 + 3*y**4 + 51*y**3 - 159*y**2 + 168*y - 60 = 0. Calculate y.
-5, 1, 2
Let o**5/3 - 7*o**4/3 + 40*o**2/3 - 16*o/3 - 16 = 0. Calculate o.
-2, -1, 2, 6
Solve -289*i**5 - 323*i**4 - 35*i**3 - i**2 = 0.
-1, -1/17, 0
Factor 2*z**3 - 130*z**2 + 2176*z - 2048.
2*(z - 32)**2*(z - 1)
Factor -587*r**2/3 - 195*r + 2/3.
-(r + 1)*(587*r - 2)/3
Determine l so that -4*l**4 - 32*l