2*p**3 - 99*p**2 + 336*p - 192 = 0.
-8, 1
Determine o, given that 2*o**2/3 + 10*o/3 + 8/3 = 0.
-4, -1
Solve -2*z**5 + 260*z**4 + 2160*z**3 + 6560*z**2 + 8800*z + 4416 = 0.
-2, 138
Factor 7*m**2/2 - 9*m/2 + 1.
(m - 1)*(7*m - 2)/2
Factor -6*m**5 + 238*m**4 - 3520*m**3 + 22800*m**2 - 52000*m - 20000.
-2*(m - 10)**4*(3*m + 1)
Find y, given that -4*y**5 + 4*y**4 + 280*y**3 - 400*y**2 - 2976*y - 2304 = 0.
-8, -2, -1, 6
Find k such that -2*k**5 + 6*k**4 - 4*k**3 - 4*k**2 + 6*k - 2 = 0.
-1, 1
Factor -2*k**4/15 - 50*k**3 - 23312*k**2/5 + 70688*k/15.
-2*k*(k - 1)*(k + 188)**2/15
Let -16*w**5/9 + 4*w**4/3 + 38*w**3/9 - 2*w**2 - 22*w/9 + 2/3 = 0. What is w?
-1, 1/4, 1, 3/2
Let c**3/2 - 247*c**2 + 30750*c - 60516 = 0. Calculate c.
2, 246
Find i such that -3*i**5 - 66*i**4 - 288*i**3 + 864*i**2 = 0.
-12, 0, 2
What is d in 14*d**5 + 81*d**4 + 57*d**3 - 116*d**2 - 36*d = 0?
-9/2, -2, -2/7, 0, 1
Solve 2*v**2/5 + 2548*v/5 + 811538/5 = 0.
-637
Factor 2*m**3/9 + 52*m**2/9 - 1120*m/9.
2*m*(m - 14)*(m + 40)/9
Find c such that -5*c**2 + 250*c + 255 = 0.
-1, 51
Let -3*n**4/4 - 3*n**3 + 15*n**2/4 = 0. Calculate n.
-5, 0, 1
Find r such that -3*r**4/2 + 3*r**3 + 33*r**2/2 - 18*r = 0.
-3, 0, 1, 4
Solve b**5/2 - 25*b**4 + 470*b**3 - 4015*b**2 + 28435*b/2 - 10648 = 0 for b.
1, 11, 16
Suppose 9*l**5 + 42*l**4 + 51*l**3 + 18*l**2 = 0. What is l?
-3, -1, -2/3, 0
Let y**5/2 + 2*y**4 + 5*y**3/2 + y**2 = 0. Calculate y.
-2, -1, 0
Find l, given that -3*l**3 + 146*l**2 - 1824*l + 1152 = 0.
2/3, 24
Find s such that s**4/4 + 827*s**3/2 + 687229*s**2/4 + 682275*s + 680625 = 0.
-825, -2
Suppose 3*l**2 - 42*l + 99 = 0. What is l?
3, 11
Let 2*l**2/7 - 118*l/7 - 72 = 0. What is l?
-4, 63
Determine g, given that -225*g**2 + 3*g = 0.
0, 1/75
Factor -w**5 + w**4 + 6*w**3 + 2*w**2 - 5*w - 3.
-(w - 3)*(w - 1)*(w + 1)**3
Factor 2*g**3/19 + 26*g**2/19 + 46*g/19 + 22/19.
2*(g + 1)**2*(g + 11)/19
Factor 3*c**4/2 - 29*c**3/2 + 99*c**2/2 - 135*c/2 + 27.
(c - 3)**3*(3*c - 2)/2
Determine d so that -5*d**4/2 + 37*d**3/2 - 7*d**2 = 0.
0, 2/5, 7
Let -2*f**2/13 + 2556*f/13 + 5120/13 = 0. Calculate f.
-2, 1280
Factor -5*o**3/4 - 225*o**2/4 - 435*o/4 - 215/4.
-5*(o + 1)**2*(o + 43)/4
Factor -16*a**4 + 108*a**3 + 28*a**2.
-4*a**2*(a - 7)*(4*a + 1)
Determine z so that -z**3/3 + z**2/3 + z/3 - 1/3 = 0.
-1, 1
Find d, given that 5*d**4 + 365*d**3 = 0.
-73, 0
Factor -g**5/5 - 4*g**4/5 + 6*g**3/5 + 16*g**2/5 - 29*g/5 + 12/5.
-(g - 1)**3*(g + 3)*(g + 4)/5
Let -2*k**4/19 - 332*k**3 - 4961226*k**2/19 + 1048456*k - 19945928/19 = 0. Calculate k.
-1579, 2
Let f**3/4 - 9*f**2 + 17*f = 0. Calculate f.
0, 2, 34
Factor 5*o**4 + 7*o**3 - 8*o**2 - 4*o.
o*(o - 1)*(o + 2)*(5*o + 2)
Find d such that 4*d**4 - 240*d**3 + 696*d**2 - 688*d + 228 = 0.
1, 57
Factor -2*y**4 - 40*y**3 - 162*y**2 - 180*y.
-2*y*(y + 2)*(y + 3)*(y + 15)
Let -2*b**2/13 - 866*b/13 + 868/13 = 0. What is b?
-434, 1
Solve 2*d**2/15 - 15352*d/15 + 29460488/15 = 0.
3838
Factor -33*u**2 + 258*u - 225.
-3*(u - 1)*(11*u - 75)
Factor -c**2/4 - 45*c/4 + 47/2.
-(c - 2)*(c + 47)/4
Determine z so that -2*z**4 - 14*z**3 + 18*z**2 + 14*z - 16 = 0.
-8, -1, 1
Suppose 4*o**2 - 4356 = 0. What is o?
-33, 33
Factor m**5/9 + 2*m**4/3 - 4*m**3/9 - 8*m**2/3.
m**2*(m - 2)*(m + 2)*(m + 6)/9
Factor -5*f**3/4 + 1145*f**2/4 + 1160*f + 1165.
-5*(f - 233)*(f + 2)**2/4
What is h in -14*h**3/5 - 884*h**2/5 - 13568*h/5 + 12288/5 = 0?
-32, 6/7
Let r**2/8 + 7*r/4 + 13/8 = 0. What is r?
-13, -1
Factor 3*d**4 + 33*d**3 + 132*d**2 + 228*d + 144.
3*(d + 2)**2*(d + 3)*(d + 4)
Determine v, given that -2*v**4/15 - 122*v**3/15 + 124*v**2/15 = 0.
-62, 0, 1
Factor -3*z**4 + 268*z**3 + 1015*z**2 + 748*z - 372.
-(z - 93)*(z + 2)**2*(3*z - 1)
Determine m, given that -2*m**3 + 20*m**2 - 62*m + 60 = 0.
2, 3, 5
Determine v so that 2*v**5 - 540*v**4 + 36450*v**3 = 0.
0, 135
Let -t**3/2 + 23*t**2/2 - 111*t/2 + 153/2 = 0. What is t?
3, 17
Factor x**3/6 - 31*x**2/3 - 21*x/2.
x*(x - 63)*(x + 1)/6
Factor 3*b**3/2 - 3*b**2/2 - 75*b/2 + 75/2.
3*(b - 5)*(b - 1)*(b + 5)/2
Factor -4*l**4 - 104*l**3 - 736*l**2 - 384*l + 4608.
-4*(l - 2)*(l + 4)*(l + 12)**2
Solve -2*f**4/5 - 148*f**3 + 744*f**2/5 + 148*f - 742/5 = 0 for f.
-371, -1, 1
Solve 4*x**4/5 - 24*x**3/5 + 4*x**2 = 0.
0, 1, 5
Factor -h**4/6 + 95*h**3/6 - 31*h**2/2 - 95*h/6 + 47/3.
-(h - 94)*(h - 1)**2*(h + 1)/6
Factor 2*q**4/5 - 4*q**3 + 14*q**2/5 + 36*q/5.
2*q*(q - 9)*(q - 2)*(q + 1)/5
Factor -8*o**3/21 + 94*o**2/21 - 88*o/7 - 24/7.
-2*(o - 6)**2*(4*o + 1)/21
Factor b**3/4 + 33*b**2 + 1377*b + 17496.
(b + 24)*(b + 54)**2/4
Factor s**3 + s**2 - 16*s + 20.
(s - 2)**2*(s + 5)
Suppose o**5/9 + 293*o**4/3 + 63946*o**3/3 - 580798*o**2/9 + 64729*o - 21609 = 0. What is o?
-441, 1
Factor 3*s**4 - 747*s**3 + 45366*s**2 + 141372*s + 95256.
3*(s - 126)**2*(s + 1)*(s + 2)
Find q such that -20*q**5 + 25*q**4 + 380*q**3 + 290*q**2 - 360*q - 315 = 0.
-3, -1, 1, 21/4
Factor 375*b**2 + 370*b - 5.
5*(b + 1)*(75*b - 1)
Factor -s**3/4 - 43*s**2/2.
-s**2*(s + 86)/4
Let -115*y**2 + 1145*y + 50 = 0. What is y?
-1/23, 10
Solve 5618*a**2/3 - 848*a/3 + 32/3 = 0.
4/53
Suppose -25*o**2 + 23*o + 2 = 0. What is o?
-2/25, 1
Let 4*v**5 + 36*v**4 - 132*v**3 - 788*v**2 + 3264*v - 3024 = 0. What is v?
-9, -7, 2, 3
Factor -j**4/2 - 71*j**3/2 + 219*j**2/2 - 221*j/2 + 37.
-(j - 1)**3*(j + 74)/2
Factor 4*d**3 - 132*d**2 + 680*d - 864.
4*(d - 27)*(d - 4)*(d - 2)
Factor -x**2/2 + 655*x/4 - 327/4.
-(x - 327)*(2*x - 1)/4
Factor -l**3 - 4*l**2.
-l**2*(l + 4)
Factor k**3/3 - 8*k**2/3 + 11*k/3 + 20/3.
(k - 5)*(k - 4)*(k + 1)/3
Factor w**2/3 - w/3 - 56/3.
(w - 8)*(w + 7)/3
Find r, given that 5*r**3 - 1500*r**2 - 9135*r - 13770 = 0.
-3, 306
Factor 8*k**2 + 18*k - 56.
2*(k + 4)*(4*k - 7)
Factor -p**5/9 + p**3/3 - 2*p**2/9.
-p**2*(p - 1)**2*(p + 2)/9
Suppose 2*b**5/3 - 28*b**4/9 + 46*b**3/9 - 32*b**2/9 + 8*b/9 = 0. What is b?
0, 2/3, 1, 2
Find t, given that -2*t**3/7 + 1042*t**2/7 = 0.
0, 521
Factor -o**2 - 6*o - 9.
-(o + 3)**2
Factor 2*o**3/13 - 316*o**2/13 + 626*o/13 - 24.
2*(o - 156)*(o - 1)**2/13
Let 2*y**3/11 - 52*y**2/11 - 10*y - 56/11 = 0. What is y?
-1, 28
Solve 15*i**4/4 + 1903*i**3/4 + 14817*i**2 - 17280*i + 4096 = 0.
-64, 1/3, 4/5
Factor b**2/2 - 21*b + 108.
(b - 36)*(b - 6)/2
Factor -4*z**2/3 + 719*z/3 - 179.
-(z - 179)*(4*z - 3)/3
Suppose 49*j**5 - 26187*j**4 + 37307*j**3 + 1619*j**2 - 10656*j - 2132 = 0. What is j?
-2/7, 1, 533
Let -95*l**2 + 2*l = 0. What is l?
0, 2/95
Determine t, given that 324*t**5/5 + 59112*t**4/5 + 2649328*t**3/5 - 4315936*t**2/5 - 2308096*t/5 - 270848/5 = 0.
-92, -2/9, 2
Let 26*q**5/9 - 4*q**4/9 - 26*q**3/9 + 4*q**2/9 = 0. Calculate q.
-1, 0, 2/13, 1
Suppose -3*z**4/7 - 102*z**3 - 41763*z**2/7 + 12240*z - 43200/7 = 0. Calculate z.
-120, 1
Solve 2*m**4/11 - 328*m**3/11 + 326*m**2/11 = 0 for m.
0, 1, 163
Suppose -2*l**2 - 232*l - 6728 = 0. What is l?
-58
Determine a so that 4*a**4 + 56*a**3 + 52*a**2 - 1008*a + 1296 = 0.
-9, 2
Factor -2*s**4 - 44*s**3 + 94*s**2 - 48*s.
-2*s*(s - 1)**2*(s + 24)
Solve -6*z**5 - 8*z**4 + 26*z**3 + 36*z**2 - 8*z - 16 = 0 for z.
-2, -1, 2/3, 2
Determine u, given that 4*u**5 + 20*u**4 + 20*u**3 - 20*u**2 - 24*u = 0.
-3, -2, -1, 0, 1
Factor 4*m**2 - 80*m + 76.
4*(m - 19)*(m - 1)
What is n in -n**2/4 + 371*n/4 - 185/2 = 0?
1, 370
Factor -r**4 - 4*r**3 - 5*r**2 - 2*r.
-r*(r + 1)**2*(r + 2)
What is y in -35*y**5 - 25*y**4 + 955*y**3 + 2565*y**2 + 1080*y - 540 = 0?
-3, -1, 2/7, 6
Factor -4*a**4 + 44*a**3 - 144*a**2 + 144*a.
-4*a*(a - 6)*(a - 3)*(a - 2)
Determine o so that -2*o**3/7 - 158*o**2/7 - 570*o - 4662 = 0.
-37, -21
Let -5*w**4 + 120*w**3 - 890*w**2 + 2400*w - 1625 = 0. Calculate w.
1, 5, 13
Determine a so that -11025*a**2/4 - 105*a - 1 = 0.
-2/105
Determine s so that -27*s**5/5 + 627*s**4/5 - 111*s**3/5 - 627*s**2/5 + 138*s/5 = 0.
-1, 0, 2/9, 1, 23
Solve a**4 - 9*a**3 + 9*a**2 + 49*a + 30 = 0 for a.
-1, 5, 6
Find n, given that -243*n**5 - 27*n**4 + 411*n**3 - 21*n**2 - 168*n + 48 = 0.
-1, 4/9, 1
Determine t so that 9*t**5 - 903*t**4 + 20847*t**3 + 95175*t**2 - 155688*t + 40560 = 0.
-5, 1/3, 1, 52
Suppose 2*d**5/11 - 10*d**4/11 + 14*d**3/11 - 6*d**2/11 = 0. Calculate d.
0, 1, 3
Factor 8*w**2/7 + 86*w/7 + 60/7.
2*(w + 10)*(4*w + 3)/7
Factor -k**3 + 53*k**2.
-k**2*(k - 53)
Let -f**4 + 52*f**3 - 622*f**2 - 1404*f - 729 = 0. What is f?
-1, 27
What