*s**3 - 6*s - 4.
2*(s - 2)*(s + 1)**2
Factor 4*f**5 + 32*f**4 - 76*f**3 + 40*f**2.
4*f**2*(f - 1)**2*(f + 10)
Factor 2*a**2 - 418*a + 416.
2*(a - 208)*(a - 1)
Factor 2*y**3/3 + 16*y**2/3 - 158*y/3 + 140/3.
2*(y - 5)*(y - 1)*(y + 14)/3
Factor u**5/4 + 11*u**4/2 + 41*u**3/4 + 5*u**2.
u**2*(u + 1)**2*(u + 20)/4
Factor -2*i**4 + 14*i**3 - 32*i**2 + 24*i.
-2*i*(i - 3)*(i - 2)**2
Let -3*d**4 - 396*d**3 - 14556*d**2 - 98208*d - 184512 = 0. What is d?
-62, -4
Solve -t**4 - 53*t**3 - 582*t**2 + 2996*t - 3224 = 0 for t.
-31, -26, 2
Factor 3*o**2 + 84*o - 87.
3*(o - 1)*(o + 29)
Determine x so that 5*x**3 + 50*x**2 - 115*x + 60 = 0.
-12, 1
Factor -9*g**2 + 39*g - 12.
-3*(g - 4)*(3*g - 1)
Factor 5*f**3 + 175*f**2 + 440*f - 21780.
5*(f - 9)*(f + 22)**2
Let j**2/6 + j/2 + 1/3 = 0. What is j?
-2, -1
Find c such that 3*c**3 + 3*c**2 - 24*c - 36 = 0.
-2, 3
Factor 3*h**3 - 381*h**2 + 2904*h - 5712.
3*(h - 119)*(h - 4)**2
What is i in -4*i**3/7 + 3876*i**2/7 - 1251948*i/7 + 134793068/7 = 0?
323
Factor 2*c**3 + 22*c**2 + 48*c - 72.
2*(c - 1)*(c + 6)**2
Solve -n**3 + 25*n**2 - 22*n - 48 = 0 for n.
-1, 2, 24
What is j in -j**2 - 2084*j + 2085 = 0?
-2085, 1
Factor -3*i**5 - 21*i**4/5 - 6*i**3/5.
-3*i**3*(i + 1)*(5*i + 2)/5
Factor -2*q**3 + 18*q**2 - 216.
-2*(q - 6)**2*(q + 3)
Solve 14*v**4 - 94*v**3 + 182*v**2 - 66*v - 36 = 0.
-2/7, 1, 3
Solve 15*h**2/8 + 3*h/4 - 21/8 = 0 for h.
-7/5, 1
Let k**2 + 873*k = 0. What is k?
-873, 0
Let 3*z**5/4 - 108*z**4 + 3663*z**3 + 16428*z**2 = 0. Calculate z.
-4, 0, 74
Let -d**2/4 - 1523*d - 2319529 = 0. Calculate d.
-3046
Solve t**4/5 + 6*t**3/5 + 9*t**2/5 + 4*t/5 = 0 for t.
-4, -1, 0
Determine i so that 5*i**2 + 20*i + 15 = 0.
-3, -1
Solve -s**2 + 411*s + 1660 = 0 for s.
-4, 415
Let 112*v**2/5 + 164*v/5 + 34/5 = 0. Calculate v.
-17/14, -1/4
Factor -4*f**5 + 148*f**4 - 1920*f**3 + 8800*f**2 + 8000*f - 120000.
-4*(f - 10)**4*(f + 3)
Factor -4*n**2 - 904*n - 1792.
-4*(n + 2)*(n + 224)
Factor 2*i**3/5 - 386*i**2/5 + 3686*i + 18818/5.
2*(i - 97)**2*(i + 1)/5
Determine s, given that 4*s**5 + 16*s**4 + 20*s**3 + 8*s**2 = 0.
-2, -1, 0
Determine m so that -25*m**2 - 1785*m - 710 = 0.
-71, -2/5
Factor -2*k**2/9 - 34*k/3 + 104/9.
-2*(k - 1)*(k + 52)/9
Factor -y**4/10 + 9*y**3/10 - 7*y**2/10 - 9*y/10 + 4/5.
-(y - 8)*(y - 1)**2*(y + 1)/10
Factor 4*s**4/5 + 5536*s**3/5 + 1909912*s**2/5 - 3836448*s/5 + 1920996/5.
4*(s - 1)**2*(s + 693)**2/5
Factor -3*i**3 + 6*i**2 + 9*i.
-3*i*(i - 3)*(i + 1)
Factor 28*a**5 + 160*a**4 + 288*a**3 + 184*a**2 + 4*a - 24.
4*(a + 1)**3*(a + 3)*(7*a - 2)
Factor -5*u**3 - 190*u**2 - 345*u + 540.
-5*(u - 1)*(u + 3)*(u + 36)
Suppose 2*v**4 - 156*v**3 + 456*v**2 - 452*v + 150 = 0. What is v?
1, 75
Factor -2*y**3/3 - 386*y**2/3 - 504*y.
-2*y*(y + 4)*(y + 189)/3
What is v in 12*v**5 - 183*v**4 + 585*v**3 - 195*v**2 - 777*v + 198 = 0?
-1, 1/4, 2, 3, 11
Factor 2*j**2/3 - 44*j/3 - 90.
2*(j - 27)*(j + 5)/3
Find j such that -j**4/2 + 2*j**3 + 3*j**2 - 2*j - 5/2 = 0.
-1, 1, 5
Solve -z**3/5 - 3*z**2/5 + 18*z/5 = 0 for z.
-6, 0, 3
Let 4*i**3 + 16*i**2 + 12*i = 0. What is i?
-3, -1, 0
Suppose -o**3/3 - 100*o**2/3 - 33*o = 0. Calculate o.
-99, -1, 0
Factor -4*v**3 + 2936*v**2 - 535808*v - 1083392.
-4*(v - 368)**2*(v + 2)
Factor -5*b**2 - 10*b + 15.
-5*(b - 1)*(b + 3)
Factor 3*b**5 - 6*b**4 - 3*b**3 + 6*b**2.
3*b**2*(b - 2)*(b - 1)*(b + 1)
Factor 2*j**3/11 - 382*j**2/11 + 1132*j/11 - 752/11.
2*(j - 188)*(j - 2)*(j - 1)/11
Factor 3*z**3/7 + 21*z**2 + 540*z/7.
3*z*(z + 4)*(z + 45)/7
Determine l so that -l**2/8 + 2*l + 57/8 = 0.
-3, 19
Factor 2*b**4/5 + 18*b**3/5.
2*b**3*(b + 9)/5
Factor 25*h**4 + 20065*h**3 - 8030*h**2.
5*h**2*(h + 803)*(5*h - 2)
Factor -5*m**3 + 175*m**2 + 3885*m + 9945.
-5*(m - 51)*(m + 3)*(m + 13)
Find j such that 3*j**3 + 39*j**2 - 195*j + 153 = 0.
-17, 1, 3
Factor 2*r**4/5 - 2*r**3/5 - 14*r**2/5 + 26*r/5 - 12/5.
2*(r - 2)*(r - 1)**2*(r + 3)/5
Factor m**2/2 + 6*m.
m*(m + 12)/2
Find d such that 3*d**5/7 - 24*d**4/7 - 60*d**3/7 - 6*d**2/7 + 57*d/7 + 30/7 = 0.
-1, 1, 10
Solve -4*z**4/5 + 41*z**3/5 + 1898*z**2/5 - 2421*z/5 + 486/5 = 0.
-18, 1/4, 1, 27
Factor 2*f**2/9 - 364*f/9 + 1424/9.
2*(f - 178)*(f - 4)/9
Suppose 15*a**4/2 + 279*a**3 - 522*a**2 + 177*a + 117/2 = 0. Calculate a.
-39, -1/5, 1
Solve -s**4/4 - 7*s**3/4 - 7*s**2/4 + 15*s/4 = 0 for s.
-5, -3, 0, 1
Find i, given that -78608*i**3 - 20808*i**2 - 1836*i - 54 = 0.
-3/34
Solve -4*n**5 - 478*n**4 - 13668*n**3 + 36722*n**2 - 14884*n = 0.
-61, 0, 1/2, 2
Let j**2/4 - 127*j/4 + 63/2 = 0. What is j?
1, 126
Factor -x**3 + 226*x**2 - 12769*x.
-x*(x - 113)**2
Determine o, given that 5*o**3 + 295*o**2 + 4495*o + 4205 = 0.
-29, -1
Solve a**5/5 + 21*a**4/5 + 103*a**3/5 + 207*a**2/5 + 184*a/5 + 12 = 0.
-15, -2, -1
Solve -11*u**5 - 13*u**4 + 108*u**3 - 68*u**2 - 16*u = 0.
-4, -2/11, 0, 1, 2
Factor 12*s**4 - 52*s**3 + 76*s**2 - 44*s + 8.
4*(s - 2)*(s - 1)**2*(3*s - 1)
Factor 320*k**5 - 1200*k**4 - 980*k**3 + 6615*k**2 - 1215*k - 7290.
5*(k + 1)*(k + 2)*(4*k - 9)**3
Factor 4*o**5/3 + 280*o**4/3 + 92*o**3.
4*o**3*(o + 1)*(o + 69)/3
Find m such that -4*m**3 - 40*m**2 - 64*m = 0.
-8, -2, 0
Find l, given that -2*l**4 - 46*l**3 - 82*l**2 + 46*l + 84 = 0.
-21, -2, -1, 1
Factor -w**2/8 + 1591*w/4 - 2531281/8.
-(w - 1591)**2/8
Factor -f**4 - 3*f**3.
-f**3*(f + 3)
Factor 3*t**4/2 + 15*t**3/2 + 6*t**2.
3*t**2*(t + 1)*(t + 4)/2
Solve z**2/4 + 703*z/4 + 701/2 = 0 for z.
-701, -2
Factor 5*m**4 - 200*m**3 + 2185*m**2 - 3610*m.
5*m*(m - 19)**2*(m - 2)
Let -2*d**5/9 - 10*d**4/9 - 2*d**3/3 + 34*d**2/9 + 56*d/9 + 8/3 = 0. What is d?
-3, -2, -1, 2
Factor -o**3/5 + 9*o**2/5 + 22*o/5.
-o*(o - 11)*(o + 2)/5
Find r such that -2*r**2/7 + 738*r/7 + 2232/7 = 0.
-3, 372
What is q in -q**3 - q**2 + 6*q = 0?
-3, 0, 2
Factor m**4/5 - 4*m**3/5 + 3*m**2/5 + 4*m/5 - 4/5.
(m - 2)**2*(m - 1)*(m + 1)/5
Factor 2*w**5/3 + 290*w**4/3 + 13820*w**3/3 + 206780*w**2/3 - 456190*w/3 + 235298/3.
2*(w - 1)**2*(w + 49)**3/3
Factor -3*l**3/4 + 163*l**2/4 - 1107*l/2 + 180.
-(l - 30)*(l - 24)*(3*l - 1)/4
Factor 10*j**2 + 274*j + 108.
2*(j + 27)*(5*j + 2)
Suppose x**2 - 2*x - 63 = 0. Calculate x.
-7, 9
Find f, given that 7*f**3/5 - 13*f**2/5 - 8*f/5 + 12/5 = 0.
-1, 6/7, 2
Factor 3*s**3/8 + 57*s**2/8 + 27*s/4.
3*s*(s + 1)*(s + 18)/8
Solve -t**2/8 - 3*t/4 - 5/8 = 0.
-5, -1
Factor -39*y**2/4 - 15*y/2.
-3*y*(13*y + 10)/4
Let 16*p**5 - 14716*p**4 + 5074720*p**3 - 777418400*p**2 + 44579888000*p + 11193640000 = 0. What is p?
-1/4, 230
Factor -3*l**2/5 + 99*l/5.
-3*l*(l - 33)/5
Suppose -4*b**2/5 + 260*b - 1296/5 = 0. What is b?
1, 324
Factor -6*k**4 - 21*k**3 - 27*k**2 - 15*k - 3.
-3*(k + 1)**3*(2*k + 1)
Factor -3*r**3/5 + 147*r**2/5 + 198*r.
-3*r*(r - 55)*(r + 6)/5
Solve -2*m**4/7 - 26*m**3/7 - 52*m**2/7 + 80*m/7 = 0 for m.
-10, -4, 0, 1
Factor -3*j**3 + 30*j**2 - 21*j - 54.
-3*(j - 9)*(j - 2)*(j + 1)
Solve 768*j**5 + 9216*j**4 + 30240*j**3 - 32400*j**2 - 334125*j - 455625 = 0.
-15/4, 3
What is h in -h**4/5 - 46*h**3/5 - 129*h**2/5 = 0?
-43, -3, 0
Factor -y**2 + 41*y - 148.
-(y - 37)*(y - 4)
Let -5*r**3 - 5*r**2 + 105*r + 225 = 0. Calculate r.
-3, 5
Factor -2*l**4 + 12*l**3 - 22*l**2 + 12*l.
-2*l*(l - 3)*(l - 2)*(l - 1)
Factor 15*f**3 - 815*f**2 + 1065*f - 265.
5*(f - 53)*(f - 1)*(3*f - 1)
Suppose -507*t**3 + 858*t**2 + 300*t + 24 = 0. Calculate t.
-2/13, 2
Find h such that h**3/2 - 8*h**2/3 + 23*h/6 - 1 = 0.
1/3, 2, 3
Find i, given that -2*i**2/9 - 10*i/9 + 28/9 = 0.
-7, 2
Factor -3*j**2 - 357*j/4 + 45/2.
-3*(j + 30)*(4*j - 1)/4
Factor 3*u**3/5 - 1032*u**2/5 - 2073*u/5 - 1038/5.
3*(u - 346)*(u + 1)**2/5
Let 8*x**3/9 + 812*x**2/9 + 404*x/9 = 0. Calculate x.
-101, -1/2, 0
Factor -2*g**3/9 + 10*g**2 + 116*g/9 - 368/3.
-2*(g - 46)*(g - 3)*(g + 4)/9
Factor c**2 + 282*c + 19881.
(c + 141)**2
Factor 2*i**2/3 - 112*i/3 - 232/3.
2*(i - 58)*(i + 2)/3
Factor -b**5 + b**4/3 + 2*b**3/3.
-b**3*(b - 1)*(3*b + 2)/3
Factor b**2 + 2194*b + 1203409.
(b + 1097)**2
Let -r**3/8 + 3*r**2/8 - r/4 = 0. What is r?
0, 1, 2
What is j in -j**3/3 - 4*j**2 + 33*j + 238/3 = 0?
-17, -2, 7
Factor -4905*z**3 - 9805*z**2 - 4895*z + 5.
-5*(z + 1)**2*(981*z - 1)
Factor k**5/4 - 3*k**4/2 + 7*k**3/2 - 4*k**2 + 9*k/4 - 1/2.
(k - 2)*(k - 1)**4/4
Factor -t**2/4 - t/2 + 3/4.
-(t - 1)*(t + 3)/4
Let 3*q**3/2 - 45*q**2/2 - 675*q/2 - 1875/2 = 0. Calculate q.
-5, 25
Determine a s