 - 1428*m**2 - 3528*m = 0.
-1, 0, 2, 21
Factor f**4/2 + 5*f**3/2 + 3*f**2.
f**2*(f + 2)*(f + 3)/2
Let 4*u**4/3 + 28*u**3/3 + 68*u**2/3 + 68*u/3 + 8 = 0. What is u?
-3, -2, -1
Factor v**5 - 2*v**4 - 6*v**3 + 4*v**2 + 13*v + 6.
(v - 3)*(v - 2)*(v + 1)**3
Let t**4/10 - 3*t**3/10 - 21*t**2/10 + 83*t/10 - 6 = 0. What is t?
-5, 1, 3, 4
Factor -9*i**3/4 - 57*i**2/4 - 111*i/4 - 63/4.
-3*(i + 1)*(i + 3)*(3*i + 7)/4
Suppose -2*m**2/5 - 58*m/5 - 336/5 = 0. What is m?
-21, -8
Factor 3*w**3 - 48*w**2 - 57*w + 102.
3*(w - 17)*(w - 1)*(w + 2)
Solve -22*y**3/9 + 4*y**2/9 + 22*y/9 - 4/9 = 0 for y.
-1, 2/11, 1
Solve 2*b**5/9 - 856*b**4/9 + 89866*b**3/9 + 368932*b**2/9 + 51648*b + 20736 = 0 for b.
-2, -1, 216
Let 5*l**4 + 110*l**3 + 525*l**2 + 740*l + 320 = 0. What is l?
-16, -4, -1
Factor -4*k**2/5 - 112*k + 564/5.
-4*(k - 1)*(k + 141)/5
Suppose -7*y**2 - 141*y + 148 = 0. What is y?
-148/7, 1
Factor -z**2 + 24*z.
-z*(z - 24)
Factor 55*d**2/2 - 1920*d - 350.
5*(d - 70)*(11*d + 2)/2
Let -t**3/3 - 9*t**2 + t/3 + 9 = 0. What is t?
-27, -1, 1
Find d such that d**4/3 + 29*d**3/3 - 66*d**2 + 412*d/3 - 280/3 = 0.
-35, 2
Factor 5*k**3 - 95*k**2 - 100*k.
5*k*(k - 20)*(k + 1)
Factor 7*k**4/5 - 226*k**3/5 + 64*k**2/5.
k**2*(k - 32)*(7*k - 2)/5
Let -i**3/3 + 18*i**2 - 17*i - 106/3 = 0. What is i?
-1, 2, 53
Factor -4*t**2 + 110*t + 56.
-2*(t - 28)*(2*t + 1)
Suppose -2*c**5 - 46*c**4 - 214*c**3 + 574*c**2 - 312*c = 0. Calculate c.
-13, -12, 0, 1
Let -5*v**5 + 220*v**4 - 420*v**3 - 10*v**2 + 425*v - 210 = 0. What is v?
-1, 1, 42
What is l in -12*l**5 + l**4 + 13*l**3 - l**2 - l = 0?
-1, -1/4, 0, 1/3, 1
Factor -2*h**2/19 + 8912*h/19 - 9927968/19.
-2*(h - 2228)**2/19
Factor 3*x**2/7 - 549*x/7 - 552/7.
3*(x - 184)*(x + 1)/7
Determine g so that 5*g**3/4 + 351*g**2/2 + 975*g/4 + 139/2 = 0.
-139, -1, -2/5
Factor -4*f**4 - 4*f**3 + 68*f**2 + 84*f - 144.
-4*(f - 4)*(f - 1)*(f + 3)**2
Solve 2*d**2 - 20*d - 112 = 0 for d.
-4, 14
Suppose -6*w**3 + 16*w**2 + 850*w - 572 = 0. Calculate w.
-11, 2/3, 13
Factor u**2/8 + 31*u/4 + 961/8.
(u + 31)**2/8
Let 3*c**5 + 36*c**4 + 129*c**3 + 72*c**2 - 240*c = 0. What is c?
-5, -4, 0, 1
Let u**5/3 - 17*u**4/3 + 36*u**3 - 316*u**2/3 + 416*u/3 - 64 = 0. Calculate u.
1, 2, 4, 6
Determine x so that -x**5 - 51*x**4 - 99*x**3 - 49*x**2 = 0.
-49, -1, 0
Factor -3*n**3/4 + 9*n**2 - 123*n/4 + 63/2.
-3*(n - 7)*(n - 3)*(n - 2)/4
Find w, given that 25*w**4/4 - 355*w**3/2 + 955*w**2/4 - 135*w/2 = 0.
0, 2/5, 1, 27
Factor 2*v**2/7 - 46*v/7 + 120/7.
2*(v - 20)*(v - 3)/7
Factor g**3 - 810*g**2 + 218700*g - 19683000.
(g - 270)**3
Factor w**5/4 - 11*w**4/4 + 45*w**3/4 - 81*w**2/4 + 27*w/2.
w*(w - 3)**3*(w - 2)/4
Let 2*p**2/7 + 6660*p/7 + 5544450/7 = 0. Calculate p.
-1665
Factor u**3 + u**2 - 2*u.
u*(u - 1)*(u + 2)
Factor -14609056*b**4 - 18877936*b**3 - 4684680*b**2 - 429300*b - 13500.
-4*(b + 1)*(154*b + 15)**3
Find h such that h**4/5 - 39*h**3/5 + 146*h**2/5 + 816*h/5 = 0.
-3, 0, 8, 34
Factor 5*k**4 + 255*k**3 + 1615*k**2 + 3345*k + 1980.
5*(k + 1)*(k + 3)**2*(k + 44)
Factor 4*y**2 + 3984*y - 7984.
4*(y - 2)*(y + 998)
Let 14*i**4 - 12*i**3 - 128*i**2 + 108*i + 18 = 0. What is i?
-3, -1/7, 1, 3
Factor 16*o**3/7 - 856*o**2/7 - 431*o/7 - 54/7.
(o - 54)*(4*o + 1)**2/7
Let p**2/5 + 23*p/5 + 12 = 0. What is p?
-20, -3
Factor 2*n**3 + 24*n**2 + 18*n - 44.
2*(n - 1)*(n + 2)*(n + 11)
Determine p so that 48*p**4/7 - 4*p**3/7 - 2*p**2/7 = 0.
-1/6, 0, 1/4
Factor s**4 + 4*s**3 - 59*s**2 - 126*s.
s*(s - 7)*(s + 2)*(s + 9)
Factor 3*a**4 + 3*a**3 - 36*a**2 + 12*a + 48.
3*(a - 2)**2*(a + 1)*(a + 4)
Determine d, given that 4*d**4/3 - 13*d**3/3 + d**2 + 16*d/3 - 4/3 = 0.
-1, 1/4, 2
Let -2*x**2/3 + 10*x/3 = 0. Calculate x.
0, 5
Factor 2*q**2/15 - 628*q/15 + 49298/15.
2*(q - 157)**2/15
Determine z, given that -z**4/4 + 9*z**3/4 - 2*z**2 - 15*z = 0.
-2, 0, 5, 6
Factor d**2 + 190*d + 9025.
(d + 95)**2
Factor -o**5/2 - o**4/2 + 5*o**3/2 - 3*o**2/2.
-o**2*(o - 1)**2*(o + 3)/2
Factor -4*q**3 + 104*q**2 - 676*q.
-4*q*(q - 13)**2
Determine h, given that -h**3/7 + 62*h**2/7 - 961*h/7 = 0.
0, 31
Find r such that 2*r**4 + 2*r**3 - 100*r**2 + 96*r = 0.
-8, 0, 1, 6
Let -10*c**2 - 36*c + 16 = 0. Calculate c.
-4, 2/5
Factor d**3 + 25*d**2 + 18*d - 144.
(d - 2)*(d + 3)*(d + 24)
Suppose -14*y**5 + 116*y**4 - 298*y**3 + 244*y**2 - 48*y = 0. What is y?
0, 2/7, 1, 3, 4
Determine n, given that -4*n**5 - 4*n**4 + 44*n**3 - 28*n**2 - 40*n + 32 = 0.
-4, -1, 1, 2
Factor -2*c**4/3 - 2*c**3/3 + 88*c**2/3 - 64*c.
-2*c*(c - 4)*(c - 3)*(c + 8)/3
Suppose 2*m**4 + 8*m**3 + 6*m**2 = 0. Calculate m.
-3, -1, 0
Factor -3*s**5 + 96*s**4 - 1026*s**3 + 2916*s**2 + 15309*s - 78732.
-3*(s - 9)**4*(s + 4)
Factor z**5 - 14*z**4 + 32*z**3 + 128*z**2.
z**2*(z - 8)**2*(z + 2)
Factor r**4/3 - 3*r**3 - 67*r**2/3 - 17*r + 42.
(r - 14)*(r - 1)*(r + 3)**2/3
Solve 3*b**5/5 - 147*b**4/5 - 162*b**3/5 + 588*b**2/5 + 120*b = 0 for b.
-2, -1, 0, 2, 50
Factor 2*v**3/7 + 60*v**2/7 + 216*v/7 + 208/7.
2*(v + 2)**2*(v + 26)/7
Factor 3*m**5 - 42*m**4 + 228*m**3 - 600*m**2 + 768*m - 384.
3*(m - 4)**2*(m - 2)**3
Factor -6*o**3 + 297*o**2 - 4356*o + 15972.
-3*(o - 22)**2*(2*o - 11)
Factor 4*m**4 - 48*m**3 + 168*m**2 - 208*m + 84.
4*(m - 7)*(m - 3)*(m - 1)**2
Factor -6*u**2/5 - 489*u/5 - 243/5.
-3*(u + 81)*(2*u + 1)/5
Solve 2*o**5/5 + 22*o**4 + 334*o**3 + 874*o**2 + 832*o + 1352/5 = 0 for o.
-26, -1
Factor -8*a**5 + 4*a**4 + 4*a**3.
-4*a**3*(a - 1)*(2*a + 1)
Determine g so that -75*g**5/2 + 215*g**4 - 1172*g**3/3 + 184*g**2 + 72*g + 16/3 = 0.
-2/15, 2
Let -2*z**2/9 + 1312*z/9 + 146 = 0. What is z?
-1, 657
Determine r, given that -r**4/4 - 73*r**3/2 + 447*r**2/4 - r - 149 = 0.
-149, -1, 2
Let -2*p**3 + 31*p**2 - 103*p + 44 = 0. What is p?
1/2, 4, 11
Let -18*o**4/5 + 8*o**3 + 118*o**2/5 + 44*o/5 - 16/5 = 0. Calculate o.
-1, 2/9, 4
Determine d so that 4*d**5 - 24*d**4 + 16*d**3 + 72*d**2 - 20*d - 48 = 0.
-1, 1, 3, 4
Let -3*w**2/4 - 13083*w/2 - 57054963/4 = 0. Calculate w.
-4361
Determine w, given that 3*w**4/2 - 9*w**3 + 15*w**2/2 = 0.
0, 1, 5
Find t, given that -t**5/5 + 6*t**4/5 - 9*t**3/5 + 4*t**2/5 = 0.
0, 1, 4
Factor 9*l**3 - 201*l**2 + 256*l - 84.
(l - 21)*(3*l - 2)**2
Let 25*j**2 + 5*j - 870 = 0. Calculate j.
-6, 29/5
Factor m**5/4 + 53*m**4/4 - 55*m**3/2.
m**3*(m - 2)*(m + 55)/4
Factor 5*q**4 + 105*q**3 + 90*q**2 - 200*q.
5*q*(q - 1)*(q + 2)*(q + 20)
What is b in 2*b**3/5 + 932*b**2/5 + 109504*b/5 + 215296/5 = 0?
-232, -2
Factor -j**2/4 + 3*j/2 + 55/4.
-(j - 11)*(j + 5)/4
Suppose v**3 - 230*v**2 + 227*v + 458 = 0. What is v?
-1, 2, 229
Factor -a**2 - 10*a + 459.
-(a - 17)*(a + 27)
Find x such that x**5 - 7*x**3 - 6*x**2 = 0.
-2, -1, 0, 3
Factor 3*w**2/5 + 129*w/5 - 132/5.
3*(w - 1)*(w + 44)/5
Factor -4*t**2 - 716*t + 1448.
-4*(t - 2)*(t + 181)
Factor -2*n**3/5 + 58*n**2/5 - 56*n/5.
-2*n*(n - 28)*(n - 1)/5
Factor 32*d**3/7 - 624*d**2/7 + 306*d/7 - 38/7.
2*(d - 19)*(4*d - 1)**2/7
Solve -2*i**3/7 - 926*i**2/7 - 108560*i/7 - 317400/7 = 0.
-230, -3
Factor f**3/3 + 427*f**2 + 136960*f + 409600/3.
(f + 1)*(f + 640)**2/3
Find x, given that 4*x**4 + 20*x**3 - 100*x**2 - 20*x + 96 = 0.
-8, -1, 1, 3
Find a such that -50*a**5/13 + 140*a**4 - 7272*a**3/13 + 7492*a**2/13 - 2182*a/13 + 192/13 = 0.
1/5, 1, 3, 32
Factor 9*q**2 + 102*q/5 + 24/5.
3*(q + 2)*(15*q + 4)/5
Let -2*v**2/3 + 3760*v/3 - 1767200/3 = 0. Calculate v.
940
What is b in b**3/10 - 287*b**2/10 + 571*b/10 - 57/2 = 0?
1, 285
Factor h**3/4 + 150*h**2 + 88173*h/4 - 275427/2.
(h - 6)*(h + 303)**2/4
Find r, given that 2*r**5 + 86*r**4/5 + 34*r**3/5 - 118*r**2/5 - 44*r/5 + 32/5 = 0.
-8, -1, 2/5, 1
Let -2*m**4 + 18*m**3 - 40*m**2 + 24*m = 0. What is m?
0, 1, 2, 6
Suppose -2*b**4 - 12*b**3 + 6*b**2 + 32*b - 24 = 0. What is b?
-6, -2, 1
Factor -2*x**5/11 - 16*x**4/11 - 26*x**3/11 - 12*x**2/11.
-2*x**2*(x + 1)**2*(x + 6)/11
Solve -20*c**4 + 196*c**3 - 468*c**2 + 428*c - 136 = 0 for c.
1, 34/5
Factor -4*m**3 + 180*m**2.
-4*m**2*(m - 45)
Determine r, given that 2*r**5/7 - 204*r**4/7 - 1072*r**3/7 + 204*r**2/7 + 1070*r/7 = 0.
-5, -1, 0, 1, 107
Factor -x**2 + 2*x/5.
-x*(5*x - 2)/5
Let 6*i**3/5 + 159*i**2/5 + 42*i - 75 = 0. Calculate i.
-25, -5/2, 1
Factor -2*q**4/3 + 320*q**3/3 - 12800*q**2/3.
-2*q**2*(q - 80)**2/3
Factor -2*r**2/15 - 314*r/15.
-2*r*(r + 157)/15
Determine q so that -24*q**3 + 1708*q**2 + 1496*q