6*v**3 + 24*v**2.
4*v**2*(v + 2)*(14*v + 3)**2/3
Factor 3*b**3 - 45*b**2 + 168*b - 180.
3*(b - 10)*(b - 3)*(b - 2)
Let -10*b**5/3 + 8*b**4 + 32*b**3/3 - 32*b**2 + 32*b/3 = 0. Calculate b.
-2, 0, 2/5, 2
Let -22*t**2 - 4316*t - 784 = 0. What is t?
-196, -2/11
Let u**5/4 - 9*u**4/2 + 59*u**3/2 - 84*u**2 + 385*u/4 - 75/2 = 0. Calculate u.
1, 5, 6
Find n, given that -2*n**3/13 + 404*n**2/13 - 20402*n/13 = 0.
0, 101
Factor -5*i**4 + 40*i**3 + 15*i**2 - 110*i - 80.
-5*(i - 8)*(i - 2)*(i + 1)**2
Factor -5*c**4 + 140*c**3 + 315*c**2 - 450*c.
-5*c*(c - 30)*(c - 1)*(c + 3)
Factor -3*x**3/2 + 408*x**2 - 813*x/2.
-3*x*(x - 271)*(x - 1)/2
Factor 484*f**3 + 1364*f**2 + 1280*f + 400.
4*(f + 1)*(11*f + 10)**2
What is d in 2*d**5/9 + 2*d**4/3 - 2*d**3/3 - 14*d**2/9 + 4*d/3 = 0?
-3, -2, 0, 1
Find s such that -s**4/4 + 7*s**3/4 + 3*s**2 - 7*s - 8 = 0.
-2, -1, 2, 8
Suppose 12*b**5 - 392*b**4 + 3684*b**3 - 9624*b**2 + 5872*b + 3168 = 0. What is b?
-1/3, 2, 11, 18
Factor -3*q**3/7 + 312*q**2/7 + 231*q + 1962/7.
-3*(q - 109)*(q + 2)*(q + 3)/7
Factor y**5/3 + 40*y**4/3 + 358*y**3/3 - 280*y**2 + 147*y.
y*(y - 1)**2*(y + 21)**2/3
Solve 3*o**3 + 84*o**2 - 87*o = 0.
-29, 0, 1
Factor 2*w**2/9 - 6524*w/9 + 5320322/9.
2*(w - 1631)**2/9
Let -2*n**3 + 82*n**2/3 + 28*n/3 = 0. Calculate n.
-1/3, 0, 14
Factor r**2/3 - 7*r + 20/3.
(r - 20)*(r - 1)/3
Determine h, given that -h**3 - 153*h**2 + 624*h - 628 = 0.
-157, 2
Let -3*w**4 + 9*w**3 + 42*w**2 - 144*w + 96 = 0. What is w?
-4, 1, 2, 4
Let -12*s**2 - 9*s + 3 = 0. Calculate s.
-1, 1/4
What is a in -16*a**5 - 172*a**4 + 444*a**3 - 308*a**2 + 52*a = 0?
-13, 0, 1/4, 1
Factor -z**4/2 + 17*z**3/2 - 36*z**2.
-z**2*(z - 9)*(z - 8)/2
Find z such that -3*z**5 - 51*z**4 - 249*z**3 - 237*z**2 + 540*z = 0.
-9, -5, -4, 0, 1
Factor 4*j**5 + 16*j**4 - 12*j**3 - 40*j**2 + 32*j.
4*j*(j - 1)**2*(j + 2)*(j + 4)
Factor 4*s**5 + 55*s**4 + 182*s**3 - 49*s**2.
s**2*(s + 7)**2*(4*s - 1)
Factor -104329*r**2 - 5814*r - 81.
-(323*r + 9)**2
Factor -5*r**4 - 50*r**3 - 5*r**2 + 780*r + 1440.
-5*(r - 4)*(r + 3)**2*(r + 8)
Factor -3*i**2 + 2715*i - 13500.
-3*(i - 900)*(i - 5)
Solve 152*w**2 + 4*w = 0.
-1/38, 0
Factor -3*w**2 + 129*w - 126.
-3*(w - 42)*(w - 1)
Determine g so that -110*g**3 + 774*g**2 - 688*g + 24 = 0.
2/55, 1, 6
Suppose -f**4/6 + 13*f**3/6 - 8*f**2 + 34*f/3 - 16/3 = 0. Calculate f.
1, 2, 8
Factor 3*t**2 - 138*t.
3*t*(t - 46)
Factor -2*j**2 + 2*j.
-2*j*(j - 1)
Factor 2*g**3/9 - 14*g/9 + 4/3.
2*(g - 2)*(g - 1)*(g + 3)/9
Determine k so that k**5/8 + k**4/4 - 23*k**3/8 - 7*k**2/2 + 14*k - 8 = 0.
-4, 1, 4
Solve w**4 + 5*w**3 - 57*w**2 + 95*w - 44 = 0 for w.
-11, 1, 4
Factor -28*z**2 + 716*z - 400.
-4*(z - 25)*(7*z - 4)
Factor 2*w**3 + 972*w**2 + 157464*w + 8503056.
2*(w + 162)**3
Factor -p**4/4 + 59*p**3/4 - 899*p**2/4 + 841*p/4.
-p*(p - 29)**2*(p - 1)/4
Solve -5*d**2 + 855*d + 860 = 0 for d.
-1, 172
Factor -2*x**4/7 - 20*x**3/7 - 66*x**2/7 - 72*x/7.
-2*x*(x + 3)**2*(x + 4)/7
Factor 4*g**3 + 56*g**2 - 960*g.
4*g*(g - 10)*(g + 24)
Factor -v**3 + 191*v**2 + 776*v + 780.
-(v - 195)*(v + 2)**2
Suppose t**3/6 + 221*t**2/6 + 12535*t/6 + 11881/2 = 0. Calculate t.
-109, -3
Determine p, given that 2*p**5/3 - 2*p**4/3 - 14*p**3 + 26*p**2/3 + 160*p/3 + 32 = 0.
-4, -1, 3, 4
Factor -50*k**2 - 105*k - 45.
-5*(2*k + 3)*(5*k + 3)
Solve -5*s**3 - 2595*s**2 + 5*s + 2595 = 0.
-519, -1, 1
Factor -6*f**3 - 346*f**2 + 116*f.
-2*f*(f + 58)*(3*f - 1)
Factor 2*u**4/3 - 6*u**3 + 52*u**2/3 - 16*u.
2*u*(u - 4)*(u - 3)*(u - 2)/3
What is r in -r**5/8 - 71*r**4/8 + 3*r**3/8 + 215*r**2/8 + 71*r/4 = 0?
-71, -1, 0, 2
Factor 5*v**5 + 20*v**4 - 30*v**3 - 20*v**2 + 25*v.
5*v*(v - 1)**2*(v + 1)*(v + 5)
Factor -3*d**4 + 51*d**3 - 135*d**2 + 129*d - 42.
-3*(d - 14)*(d - 1)**3
Factor 4*z**4 - 1340*z**3 + 114208*z**2 - 330672*z.
4*z*(z - 166)**2*(z - 3)
Let -5*s**4 - 100*s**3 - 545*s**2 - 90*s + 3240 = 0. Calculate s.
-9, -4, 2
Let 2*z**3 - 33*z**2 - 185*z - 84 = 0. Calculate z.
-4, -1/2, 21
Factor w**4 - 4*w**3 - 18*w**2 - 20*w - 7.
(w - 7)*(w + 1)**3
Factor 5*m**3 + 1075*m**2 + 1070*m.
5*m*(m + 1)*(m + 214)
Suppose -9*t**5/2 + 51*t**4/2 - 27*t**3 - 12*t**2 = 0. Calculate t.
-1/3, 0, 2, 4
Factor -5*a**3 + 130*a**2 - 765*a.
-5*a*(a - 17)*(a - 9)
Factor w**5/3 - w**4/2 - w**3/3.
w**3*(w - 2)*(2*w + 1)/6
Let -n**2 + 2207*n - 4410 = 0. Calculate n.
2, 2205
Factor -3*i**2 - 93*i - 90.
-3*(i + 1)*(i + 30)
Determine a so that -2*a**3/3 - 16*a**2 - 166*a/3 - 40 = 0.
-20, -3, -1
Factor 4*r**5 - 288*r**4 + 1088*r**3 + 64*r**2 - 4416*r + 4352.
4*(r - 68)*(r - 2)**3*(r + 2)
Factor -s**3/3 + 11*s**2 - 96*s + 256/3.
-(s - 16)**2*(s - 1)/3
Solve -3*c**3/2 - 771*c**2/2 + 1560*c - 1566 = 0.
-261, 2
Factor -3*o**2 + 141*o + 294.
-3*(o - 49)*(o + 2)
Let -3*b**5 + 18*b**4 + 75*b**3 + 54*b**2 = 0. What is b?
-2, -1, 0, 9
Factor -35*a**2 - 195*a + 90.
-5*(a + 6)*(7*a - 3)
Let -7*p**4/3 + 205*p**3/3 - 758*p**2/3 + 200*p/3 = 0. What is p?
0, 2/7, 4, 25
Factor -2*z**4 + 6148*z**3 - 6297600*z**2 + 2147477500*z + 2153781250.
-2*(z - 1025)**3*(z + 1)
Let 4*a**2/7 + 32*a/7 - 260/7 = 0. Calculate a.
-13, 5
Factor -9*o**3/7 - 33*o**2/7 - 15*o/7 + 9/7.
-3*(o + 1)*(o + 3)*(3*o - 1)/7
Suppose 2*t**5 + 370*t**4 - 4*t**3 - 740*t**2 + 2*t + 370 = 0. What is t?
-185, -1, 1
Factor -2*i**4/7 - 912*i**3/7 - 92448*i**2/7 + 2626560*i/7 - 16588800/7.
-2*(i - 12)**2*(i + 240)**2/7
Suppose 413*t**2/3 + 415*t/3 + 2/3 = 0. What is t?
-1, -2/413
Factor -4*d**4 + 48*d**3 - 72*d**2 - 304*d - 180.
-4*(d - 9)*(d - 5)*(d + 1)**2
Factor -5070245*z**2 - 20140*z - 20.
-5*(1007*z + 2)**2
Factor -3*q**4 - 48*q**3 - 45*q**2.
-3*q**2*(q + 1)*(q + 15)
Factor -16*c**5 + 96*c**4 + 108*c**3 + 28*c**2.
-4*c**2*(c - 7)*(2*c + 1)**2
Determine g so that 8*g**5 - 28*g**4 - 140*g**3 + 100*g**2 + 132*g - 72 = 0.
-3, -1, 1/2, 1, 6
Find x, given that -4*x**3 + 36*x**2 + 88*x = 0.
-2, 0, 11
Determine u, given that -4*u**3 + 560*u**2 - 2192*u + 2176 = 0.
2, 136
Let -s**4 + 41*s**3 - 410*s**2 - 800*s + 12000 = 0. Calculate s.
-5, 6, 20
What is b in -2*b**2/9 - 128*b/9 - 160/3 = 0?
-60, -4
Determine f, given that 2*f**5 + 48*f**4 + 198*f**3 + 152*f**2 = 0.
-19, -4, -1, 0
Factor w**3 - 326*w**2 + 649*w - 324.
(w - 324)*(w - 1)**2
Factor o**3/5 + 47*o**2/5 + 216*o/5 + 252/5.
(o + 2)*(o + 3)*(o + 42)/5
Suppose -2*g**4/3 - 6*g**3 + 8*g**2/3 + 24*g = 0. Calculate g.
-9, -2, 0, 2
Factor v**2/5 + 27*v/5 + 26/5.
(v + 1)*(v + 26)/5
Solve -1125*s**5 + 4350*s**4 + 1720*s**3 - 4330*s**2 - 595*s - 20 = 0 for s.
-1, -1/15, 1, 4
Factor 5*h**2/4 - 90*h + 1035/4.
5*(h - 69)*(h - 3)/4
Solve -9*o**3/8 + 7*o**2 - 57*o/8 + 5/4 = 0 for o.
2/9, 1, 5
Let 3*f**4 - 276*f**3 + 6615*f**2 - 12150*f = 0. What is f?
0, 2, 45
What is u in u**5 - 19*u**4 + 128*u**3 - 332*u**2 + 96*u + 576 = 0?
-1, 4, 6
What is h in 2*h**2/13 + 6570*h/13 + 6568/13 = 0?
-3284, -1
Let -2*l**2 - 6000*l - 4500000 = 0. Calculate l.
-1500
Solve -q**2 + 40*q - 279 = 0 for q.
9, 31
Solve 5*j**2 - 75*j + 130 = 0 for j.
2, 13
Solve 5*t**4 - 40*t**3 + 10*t**2 + 160*t + 105 = 0.
-1, 3, 7
Factor -4*q**5 + 68*q**4 - 352*q**3 + 576*q**2.
-4*q**2*(q - 9)*(q - 4)**2
Find y, given that -2*y**2/9 - 256*y/9 - 8192/9 = 0.
-64
Factor 4*z**4 - 72*z**3 + 240*z**2 + 800*z.
4*z*(z - 10)**2*(z + 2)
Solve -2*u**4 + 178*u**3 + 1122*u**2 + 1710*u = 0.
-3, 0, 95
Factor 16*q**3 - 92*q**2 - 764*q + 840.
4*(q - 10)*(q - 1)*(4*q + 21)
Determine g so that -2*g**5 + 8*g**4 + 14*g**3 - 20*g**2 = 0.
-2, 0, 1, 5
Factor -3*h**3 + 15*h**2 + 39*h + 21.
-3*(h - 7)*(h + 1)**2
Solve 81*m**4/4 + 45*m**3/2 + 3*m**2/4 - 3*m/2 = 0.
-1, -1/3, 0, 2/9
Suppose -b**4 - 21*b**3 - 79*b**2 + 21*b + 80 = 0. What is b?
-16, -5, -1, 1
Factor 3*w**4 + 3*w**3.
3*w**3*(w + 1)
Find o, given that 10*o**2/21 - 46*o/21 - 20/21 = 0.
-2/5, 5
Factor -3*w**2/4 - 3*w + 9.
-3*(w - 2)*(w + 6)/4
Solve 2*p**3/5 - 8*p**2 + 38*p/5 = 0.
0, 1, 19
Factor 2*g**2/7 - 122*g/7 - 124/7.
2*(g - 62)*(g + 1)/7
Factor 4*i**2/7 + 4*i + 24/7.
4*(i + 1)*(i + 6)/7
Factor 5*b**5 + 15*b**4 - 20*b**3.
5*b**3*(b - 1)*(b + 4)
Factor 9*z**5 + 21*z**4 + 9*z**3 - 9*z**2 - 6*z.
3*z*(z + 1)**3*(3*z - 2)
Factor -3*l**3 - 57*l**2 - 240*l + 300.
-3*(l - 1)*(l + 10)**2
Suppose -2*d**5/3 - 8*d**4/3 + 148*d**3/3 - 160*d**2 + 186*d - 72 = 0. What is d?
-12, 1, 3
Factor a**5/2 + 5*a**4/2 - 3*a**3/2 - 13*a**2/2 + 5*a.
a*(a -