 1)*(y + 8)/3
Factor -20*h**3 + 48*h**2 - 16*h.
-4*h*(h - 2)*(5*h - 2)
Solve -2*s**5 + 15*s**4 - 27*s**3 + 10*s**2 = 0 for s.
0, 1/2, 2, 5
Factor 5*t**4 + 410*t**3 + 11005*t**2 + 96100*t.
5*t*(t + 20)*(t + 31)**2
Factor 4*h**2/13 + 6*h - 40/13.
2*(h + 20)*(2*h - 1)/13
Let 25*o**5 + 15*o**4 - 35*o**3 - 15*o**2 + 10*o = 0. Calculate o.
-1, 0, 2/5, 1
Factor 4*m**5/3 + 2636*m**4/3 + 5260*m**3/3 + 876*m**2.
4*m**2*(m + 1)**2*(m + 657)/3
What is b in 98*b**5 + 1820*b**4 - 4962*b**3 + 844*b**2 + 1864*b + 336 = 0?
-21, -2/7, 1, 2
Factor 2*r**2 - 6*r - 56.
2*(r - 7)*(r + 4)
Let 2*p**3/5 - 24*p**2/5 + 14*p - 48/5 = 0. What is p?
1, 3, 8
Let p**3/5 + 74*p**2/5 + 1008*p/5 = 0. Calculate p.
-56, -18, 0
Let q**2 - 1360*q + 462400 = 0. Calculate q.
680
Determine w, given that 5*w**4 - 9090*w**3 - 18195*w**2 - 9100*w = 0.
-1, 0, 1820
Factor q**4 + 68*q**3 + 133*q**2 + 66*q.
q*(q + 1)**2*(q + 66)
What is w in -w**3 - 17*w**2 = 0?
-17, 0
Find y, given that -9*y**2 + 10947*y = 0.
0, 3649/3
Find y such that -2*y**4/15 - 4*y**3/15 + 8*y**2/15 + 16*y/15 = 0.
-2, 0, 2
Factor 21*v**4 + 57*v**3 - 396*v**2 + 108*v.
3*v*(v - 3)*(v + 6)*(7*v - 2)
Factor r**4 - 3*r**2 + 2*r.
r*(r - 1)**2*(r + 2)
Suppose -y**5/8 - 123*y**4/8 - 1797*y**3/4 + 5765*y**2/4 - 11781*y/8 + 3969/8 = 0. Calculate y.
-63, 1
Find f such that -4*f**4 + 144*f**3 - 1740*f**2 + 7600*f - 6000 = 0.
1, 10, 15
Solve -10*l**5 - 11*l**4 + l**3 + 2*l**2 = 0 for l.
-1, -1/2, 0, 2/5
What is p in 6*p**5 - 908*p**4 + 286*p**3 + 2408*p**2 + 1208*p = 0?
-1, -2/3, 0, 2, 151
Let -2*s**5/11 + 14*s**4/11 - 6*s**3/11 - 62*s**2/11 - 40*s/11 = 0. What is s?
-1, 0, 4, 5
Factor -2*q**5/7 + 4*q**4 - 120*q**3/7 + 208*q**2/7 - 128*q/7.
-2*q*(q - 8)*(q - 2)**3/7
Factor -5*w**3 + 30*w**2 + 45*w - 70.
-5*(w - 7)*(w - 1)*(w + 2)
Determine b so that -5*b**3 - 30*b**2 + 675*b + 4860 = 0.
-9, 12
Suppose 3*q**2/2 + 28*q - 19/2 = 0. What is q?
-19, 1/3
Determine p, given that 2*p**2 - 394*p - 1200 = 0.
-3, 200
Determine j, given that -14*j**5 + 1040*j**4 - 3278*j**3 + 852*j**2 = 0.
0, 2/7, 3, 71
Solve -2*r**5 - 398*r**4 - 30336*r**3 - 1078272*r**2 - 16809984*r - 74317824 = 0 for r.
-48, -7
Find f such that 5*f**4 + 3*f**3 - 52*f**2 + 60*f - 16 = 0.
-4, 2/5, 1, 2
Solve -2*p**3 - 134*p**2 - 2080*p - 9400 = 0 for p.
-47, -10
Determine z so that 4*z**3 + 32*z**2 - 156*z - 1080 = 0.
-9, -5, 6
Determine r, given that -5*r**2 - 635*r - 5310 = 0.
-118, -9
Let 25*z**5 + 105*z**4 - 46*z**3 - 220*z**2 + 168*z - 32 = 0. What is z?
-4, -2, 2/5, 1
Find g such that -3*g**2 - 246*g - 5043 = 0.
-41
Suppose -2*l**2/9 + 278*l/3 - 832/9 = 0. Calculate l.
1, 416
Factor 7*p**4/3 - 131*p**3/3 - 500*p**2/3 - 44*p.
p*(p - 22)*(p + 3)*(7*p + 2)/3
Factor v**2/6 + 43*v/6 - 68.
(v - 8)*(v + 51)/6
Factor 2*i**2 + 3760*i + 1767200.
2*(i + 940)**2
Suppose -b**4 + 20*b**3 + 117*b**2 + 196*b + 100 = 0. Calculate b.
-2, -1, 25
Find i such that -5*i**3 - 145*i**2 + 305*i - 155 = 0.
-31, 1
Factor -i**4/3 - 4*i**3 - 44*i**2/3 - 16*i.
-i*(i + 2)*(i + 4)*(i + 6)/3
Factor 405*o**4 + 1035*o**3 + 290*o**2 - 300*o + 40.
5*(o + 1)*(o + 2)*(9*o - 2)**2
Determine x so that 2*x**5 + 20*x**4 + 68*x**3 + 104*x**2 + 74*x + 20 = 0.
-5, -2, -1
Factor -d**5 - 4*d**4 - 6*d**3 - 4*d**2 - d.
-d*(d + 1)**4
Solve l**5/5 + 57*l**4/5 + 268*l**3/5 + 84*l**2 + 208*l/5 = 0 for l.
-52, -2, -1, 0
Let -27*h**5/5 - 363*h**4/5 - 773*h**3/5 - 521*h**2/5 - 8*h + 44/5 = 0. What is h?
-11, -1, -2/3, 2/9
Factor -9*x**2 - 439*x + 98.
-(x + 49)*(9*x - 2)
Determine a so that -5*a**5 - 50*a**4 - 30*a**3 + 800*a**2 + 875*a - 3750 = 0.
-5, 2, 3
Determine h so that -h**4/5 + 6*h**3/5 - 12*h**2/5 + 8*h/5 = 0.
0, 2
Factor 3*l**2/7 + 33*l + 666/7.
3*(l + 3)*(l + 74)/7
Factor 5*w**2 + 20*w - 585.
5*(w - 9)*(w + 13)
Find v such that 5*v**3 + 225*v**2 - 5*v - 225 = 0.
-45, -1, 1
Factor h**5 - 8*h**4 - 48*h**3 + 256*h**2 + 1024*h.
h*(h - 8)**2*(h + 4)**2
Factor -78*p**2 - 69*p + 9.
-3*(p + 1)*(26*p - 3)
Factor -5*d**4 - 15*d**3 - 15*d**2 - 5*d.
-5*d*(d + 1)**3
Factor -2*k**2/13 + 2*k - 60/13.
-2*(k - 10)*(k - 3)/13
Factor 2*j**2 + 272*j + 9248.
2*(j + 68)**2
Factor 4*j**4 + 92*j**3 - 4*j**2 - 92*j.
4*j*(j - 1)*(j + 1)*(j + 23)
Factor p**2/3 + 25*p/3 + 42.
(p + 7)*(p + 18)/3
What is c in 2*c**5/7 - 68*c**4 + 29720*c**3/7 - 167056*c**2/7 + 326656*c/7 - 215296/7 = 0?
2, 116
Let -6*b**5 + 4*b**4 + 8*b**3 - 4*b**2 - 2*b = 0. What is b?
-1, -1/3, 0, 1
Factor 4*p**3 + 12*p**2 - 64*p + 48.
4*(p - 2)*(p - 1)*(p + 6)
Find p, given that -p**3 + 10*p**2 + 191*p + 180 = 0.
-9, -1, 20
Solve f**2 - 176*f + 348 = 0 for f.
2, 174
Factor -5*x**3 - 25*x**2 + 40*x + 240.
-5*(x - 3)*(x + 4)**2
Factor -5*b**3 + 5210*b**2 - 1362400*b + 2704000.
-5*(b - 520)**2*(b - 2)
Factor a**3 + 9*a**2 + 6*a - 56.
(a - 2)*(a + 4)*(a + 7)
Suppose -4*m**2 + 228*m + 1792 = 0. Calculate m.
-7, 64
Factor -4*v**3/5 - 328*v**2/5 + 2092*v/5 - 352.
-4*(v - 5)*(v - 1)*(v + 88)/5
Find k such that 4*k**4/5 + 36*k**3/5 - 12*k**2/5 - 116*k/5 - 72/5 = 0.
-9, -1, 2
Find n such that -2*n**5/11 - 12*n**4/11 + 36*n**3/11 + 224*n**2/11 - 210*n/11 - 900/11 = 0.
-5, -2, 3
Let -2*m**2/9 + 52*m/3 - 338 = 0. Calculate m.
39
Factor -x**2/2 + 47*x/2 + 24.
-(x - 48)*(x + 1)/2
Factor 5*b**2 + 210*b + 400.
5*(b + 2)*(b + 40)
Factor 5*i**2/3 - 460*i/3 + 455/3.
5*(i - 91)*(i - 1)/3
Find f, given that -40*f**4 - 124*f**3 - 92*f**2 - 8*f = 0.
-2, -1, -1/10, 0
Suppose n**4/3 - 346*n**3/3 + 689*n**2/3 - 344*n/3 = 0. Calculate n.
0, 1, 344
Suppose -5*p**4 + 20*p**3 + 45*p**2 - 180*p = 0. What is p?
-3, 0, 3, 4
What is u in -u**4/2 - u**3 + 15*u**2/2 + 16*u + 8 = 0?
-4, -1, 4
Suppose -2*d**2/13 - 318*d/13 = 0. What is d?
-159, 0
Solve 4*j**3/7 - 292*j**2/7 + 288*j/7 = 0.
0, 1, 72
Suppose -14*p**2 + 5668*p/3 + 90 = 0. Calculate p.
-1/21, 135
Let z**5 - 7*z**4 - 45*z**3 + 7*z**2 + 44*z = 0. What is z?
-4, -1, 0, 1, 11
Factor -s**4/3 + 41*s**3/3 - 194*s**2/3 - 560*s/3.
-s*(s - 35)*(s - 8)*(s + 2)/3
Factor -2*u**2 - 476*u/5 + 192/5.
-2*(u + 48)*(5*u - 2)/5
Factor 2*v**3/11 - 16*v**2/11 - 2*v + 36/11.
2*(v - 9)*(v - 1)*(v + 2)/11
Factor -a**5/8 - 71*a**4/8 + 371*a**3/8 - 677*a**2/8 + 265*a/4 - 19.
-(a - 2)*(a - 1)**3*(a + 76)/8
Let 30*z**2/19 + 334*z/19 + 44/19 = 0. What is z?
-11, -2/15
Let -7400*f**5 - 3500*f**4 + 5724*f**3 + 4436*f**2 + 764*f - 24 = 0. Calculate f.
-3/5, -1/2, -2/5, 1/37, 1
Determine d, given that -d**5/2 + d**4/2 + d**3/2 - d**2/2 = 0.
-1, 0, 1
Factor -2*a**2 - 58*a - 108.
-2*(a + 2)*(a + 27)
Solve 2*t**2/9 + 392*t/9 + 19208/9 = 0 for t.
-98
Factor -5*k**3 + 315*k**2 - 5115*k + 4805.
-5*(k - 31)**2*(k - 1)
Solve 4*i**3 + 184*i**2 + 1280*i + 2432 = 0.
-38, -4
Factor -3*o**4 - 6*o**3 + 3*o**2 + 6*o.
-3*o*(o - 1)*(o + 1)*(o + 2)
Determine t so that -4*t**5/9 - 2*t**4/9 + 2*t**3 + 8*t**2/9 - 8*t/9 = 0.
-2, -1, 0, 1/2, 2
Solve -2*f**5 + 18*f**4 + 236*f**3 + 612*f**2 + 54*f - 918 = 0.
-3, 1, 17
Let -5*v**5 + 15*v**4 + 115*v**3 - 135*v**2 - 110*v + 120 = 0. What is v?
-4, -1, 1, 6
Factor -2*w**3 - 13404*w**2 - 29944536*w - 22298697808.
-2*(w + 2234)**3
Determine k so that k**5/2 + 7*k**4 + 29*k**3 + 18*k**2 - 243*k/2 - 189 = 0.
-7, -3, 2
Suppose r**4/4 - 130*r**3 - 2099*r**2/4 + 777*r/2 + 2358 = 0. What is r?
-3, 2, 524
Factor -8*v**3/5 + 430*v**2 + 538*v/5.
-2*v*(v - 269)*(4*v + 1)/5
Suppose 4*m**5/7 - 60*m**4/7 - 1728*m**3/7 - 7936*m**2/7 = 0. Calculate m.
-8, 0, 31
Solve -5*p**2 + 855*p - 6520 = 0.
8, 163
Let -n**3 + 8*n**2 - 19*n + 12 = 0. What is n?
1, 3, 4
Find u such that -2*u**5 - 414*u**4 + 418*u**3 + 414*u**2 - 416*u = 0.
-208, -1, 0, 1
Factor a**2 + 123*a + 1232.
(a + 11)*(a + 112)
Factor a**2/5 + 238*a/5.
a*(a + 238)/5
Suppose -3*h**2/5 + 156*h/5 - 441/5 = 0. Calculate h.
3, 49
What is t in -6*t**3/7 + 66*t**2/7 - 114*t/7 + 54/7 = 0?
1, 9
Determine z, given that 2*z**2/15 - 4*z/15 - 14/3 = 0.
-5, 7
Let 25*b**4 + 160*b**3 + 185*b**2 + 50*b = 0. What is b?
-5, -1, -2/5, 0
Factor -d**4 - 19*d**3 + 97*d**2 + 115*d.
-d*(d - 5)*(d + 1)*(d + 23)
Solve -45*h**5 - 105*h**4 - 35*h**3 + 85*h**2 + 80*h + 20 = 0.
-1, -2/3, 1
Factor 4*d**2 + 212*d - 216.
4*(d - 1)*(d + 54)
Suppose -3*k**5 - 3*k**4 + 15*k**3 + 15*k**2 - 12*k - 12 = 0. Calculate k.
-2, -1, 1, 2
Factor s**3/5 - 121*s**2/5 + 239*s/5 - 119/5.
(s - 119)*(s - 1)**2/5
Solve -4*w**3 + 792*w**2 - 1572*w + 784 = 0.
1, 196
Factor 