*b + 20/3 = 0.
-20, -1
Factor s**2/5 + 89*s/5 - 276/5.
(s - 3)*(s + 92)/5
Factor -3*s**2 + 3*s.
-3*s*(s - 1)
Solve -40*q**5 + 60*q**4 + 315*q**3/2 - 185*q**2/2 - 240*q - 90 = 0 for q.
-1, -3/4, 2
Suppose 374*j**5/7 + 302*j**4/21 - 1544*j**3/21 + 88*j**2/21 + 32*j/21 = 0. What is j?
-4/3, -2/17, 0, 2/11, 1
Factor -2*m**3/13 + 216*m/13 - 864/13.
-2*(m - 6)**2*(m + 12)/13
Factor -4*c**3/7 + 48*c**2/7 - 80*c/7.
-4*c*(c - 10)*(c - 2)/7
Solve c**2/10 - 132*c/5 + 8712/5 = 0 for c.
132
Factor d**3/3 - 5*d**2/3 + 2*d.
d*(d - 3)*(d - 2)/3
Determine u so that -4*u**5 + 4*u**4 + 12*u**3 - 4*u**2 - 8*u = 0.
-1, 0, 1, 2
Factor -2*r**2/9 - 14*r/3 - 196/9.
-2*(r + 7)*(r + 14)/9
Factor -a**3/2 - 3*a**2/2 + 2*a.
-a*(a - 1)*(a + 4)/2
Let v**5/2 - 3*v**4 + v**3/2 + 12*v**2 + 8*v = 0. Calculate v.
-1, 0, 4
Factor 3*x**5 - 12*x**4 + 12*x**3 + 6*x**2 - 15*x + 6.
3*(x - 2)*(x - 1)**3*(x + 1)
Factor 4*w**3 - 48*w - 64.
4*(w - 4)*(w + 2)**2
Determine x, given that 5*x**2/4 + 45*x/2 = 0.
-18, 0
Factor 26*j**2 - 44*j/3 - 322/3.
2*(3*j - 7)*(13*j + 23)/3
Factor 4*n**3/7 + 242*n**2/7 + 1416*n/7 + 648/7.
2*(n + 6)*(n + 54)*(2*n + 1)/7
Factor 5*s**3 - 6070*s**2 - 5*s + 6070.
5*(s - 1214)*(s - 1)*(s + 1)
Factor -12*g**3/5 - 33*g**2/5 + 12*g.
-3*g*(g + 4)*(4*g - 5)/5
Factor 25*v**3 - 220*v**2 - 135*v + 810.
5*(v - 9)*(v + 2)*(5*v - 9)
Factor u**2/5 - 22*u/5 + 121/5.
(u - 11)**2/5
What is u in -u**2 - 1752*u - 767376 = 0?
-876
Let -3*a**3 + 66*a**2 + 144*a = 0. What is a?
-2, 0, 24
Factor w**4 + 46*w**3 + 528*w**2 - 46*w - 529.
(w - 1)*(w + 1)*(w + 23)**2
Determine c so that 12*c**5 - 183*c**4 - 159*c**3 + 231*c**2 + 147*c - 48 = 0.
-1, 1/4, 1, 16
Factor -x**4/3 - 20*x**3/3 - 19*x**2/3.
-x**2*(x + 1)*(x + 19)/3
Solve o**5 - 71*o**4 - 219*o**3 - 221*o**2 - 74*o = 0 for o.
-1, 0, 74
Factor 54*f**3 - 1110*f**2 - 1504*f/3 - 56.
2*(f - 21)*(9*f + 2)**2/3
Factor -299290*r**2 - 5536*r - 128/5.
-2*(865*r + 8)**2/5
Factor 5*m**2 + 870*m - 875.
5*(m - 1)*(m + 175)
Factor v**4/4 - 7*v**3/2 + 61*v**2/4 - 21*v + 9.
(v - 6)**2*(v - 1)**2/4
Suppose 9*o**4 + 75*o**3 - 732*o**2 - 252*o = 0. What is o?
-14, -1/3, 0, 6
Factor -d**2/4 - 155*d/2 - 24025/4.
-(d + 155)**2/4
Factor -g**5 + 34*g**4 - 65*g**3 + 32*g**2.
-g**2*(g - 32)*(g - 1)**2
Suppose 3*n**4 - 930*n**3 + 70191*n**2 + 292020*n + 295788 = 0. What is n?
-2, 157
Determine w so that -5*w**2 - 40*w + 45 = 0.
-9, 1
Find h such that 45*h**5 - 125*h**4 - 840*h**3 - 180*h**2 = 0.
-3, -2/9, 0, 6
Find m, given that -4*m**4/5 - 18*m**3/5 + 28*m**2/5 + 162*m/5 + 72/5 = 0.
-4, -3, -1/2, 3
Let -2*x**3 + 228*x**2 + 234*x - 460 = 0. Calculate x.
-2, 1, 115
Factor -3*l**2/2 - 15*l/2 + 156.
-3*(l - 8)*(l + 13)/2
Find a such that 12*a**2/7 + 1557*a/7 - 390/7 = 0.
-130, 1/4
Solve 5*u**2 - 115*u + 300 = 0.
3, 20
Factor -3*w**4/4 + 735*w**3 - 540225*w**2/2 + 44118375*w - 10809001875/4.
-3*(w - 245)**4/4
Factor -a**4 - 3*a**3 + 3*a**2 + 7*a - 6.
-(a - 1)**2*(a + 2)*(a + 3)
Determine m so that 169*m**3/6 + 2639*m**2/3 + 22990*m/3 + 36100/3 = 0.
-190/13, -2
Find z such that -z**2 - 14*z = 0.
-14, 0
Factor 8*j**3/7 - 594*j**2/7 - 452*j/7 + 150/7.
2*(j - 75)*(j + 1)*(4*j - 1)/7
Factor -5*g**4 - 40*g**3 - 80*g**2.
-5*g**2*(g + 4)**2
Factor -2*v**2/9 + 656*v/9 - 53792/9.
-2*(v - 164)**2/9
Solve -5*b**2 + 13300*b - 8844500 = 0.
1330
Factor -r**3/6 - 529*r**2/2 + 1589*r/3.
-r*(r - 2)*(r + 1589)/6
Find q, given that 2*q**3 + 53*q**2 + 26*q = 0.
-26, -1/2, 0
Factor 5*b**4 - 10*b**3 - 60*b**2 + 40*b + 160.
5*(b - 4)*(b - 2)*(b + 2)**2
Find j, given that -3*j**3/5 + 132*j**2/5 + 576*j/5 = 0.
-4, 0, 48
Find h, given that 80*h**4 - 151720*h**3 + 71972165*h**2 - 35957640*h + 4493520 = 0.
1/4, 948
Suppose -2*n**5 + 8*n**4 + 186*n**3 + 592*n**2 + 416*n = 0. What is n?
-4, -1, 0, 13
Suppose 4*w**4 - 172*w**3 + 160*w**2 + 336*w = 0. What is w?
-1, 0, 2, 42
Determine c so that -3*c**4/5 + 62*c**3/5 - 219*c**2/5 - 16*c = 0.
-1/3, 0, 5, 16
Factor 5*g**4 - 115*g**3 + 215*g**2 - 105*g.
5*g*(g - 21)*(g - 1)**2
Factor 79*d**2 - 81*d + 2.
(d - 1)*(79*d - 2)
Suppose 2*d**2 = 0. What is d?
0
Factor -s**3/4 + 685*s**2/4 - 116963*s/4 - 117649/4.
-(s - 343)**2*(s + 1)/4
Suppose 5*j**2/3 + 1260*j + 238140 = 0. Calculate j.
-378
Factor 2*m**2/7 - 10*m - 72/7.
2*(m - 36)*(m + 1)/7
Factor 4*j**3 - 8*j**2 - 12*j.
4*j*(j - 3)*(j + 1)
Factor 7*v**2/4 + 3*v/2 - 1/4.
(v + 1)*(7*v - 1)/4
Factor -s**3/2 + 165*s**2/2 + 333*s/2 + 167/2.
-(s - 167)*(s + 1)**2/2
Factor 38*s**2/9 + 14*s/9.
2*s*(19*s + 7)/9
Factor -4*r**3 - 780*r**2 - 50700*r - 1098500.
-4*(r + 65)**3
Solve -5*k**5/2 + 710*k**4 - 2115*k**3 + 2110*k**2 - 1405*k/2 = 0 for k.
0, 1, 281
Let -b**5/2 - 511*b**4/4 - 43605*b**3/4 - 1249925*b**2/4 - 614125*b/4 = 0. Calculate b.
-85, -1/2, 0
Factor -2*k**3/9 + 26*k**2/3.
-2*k**2*(k - 39)/9
Solve 5*p**4 + 70*p**3 - 285*p**2 - 470*p + 680 = 0 for p.
-17, -2, 1, 4
Solve 2*w**4/19 - 22*w**3/19 - 78*w**2/19 - 82*w/19 - 28/19 = 0 for w.
-1, 14
Factor -5*x**2 - 30*x - 40.
-5*(x + 2)*(x + 4)
Let 2*x**5/9 - 16*x**4 + 686*x**3/9 - 120*x**2 + 536*x/9 = 0. Calculate x.
0, 1, 2, 67
Factor -2*d**2/7 + 22*d/7 + 24/7.
-2*(d - 12)*(d + 1)/7
Factor 5*v**2 - 500*v + 6020.
5*(v - 86)*(v - 14)
Factor -4*t**4 + 152*t**3 + 5612*t**2.
-4*t**2*(t - 61)*(t + 23)
What is v in -4*v**4 + 1252*v**3 + 3792*v**2 = 0?
-3, 0, 316
Factor 2*m**5/9 - 4*m**4/9 - 2*m**3/3.
2*m**3*(m - 3)*(m + 1)/9
Factor 128*p**4/7 - 608*p**3/7 + 408*p**2/7 - 14*p + 8/7.
2*(p - 4)*(4*p - 1)**3/7
Factor -2*l**3/7 + 1146*l**2/7 + 4626*l/7 - 5770/7.
-2*(l - 577)*(l - 1)*(l + 5)/7
Suppose -2*n**5/3 + 3*n**4 - 16*n**3/3 + 14*n**2/3 - 2*n + 1/3 = 0. Calculate n.
1/2, 1
Factor -3*g**2 - 123*g + 126.
-3*(g - 1)*(g + 42)
Factor 2*c**2 + 54*c/7 - 288/7.
2*(c - 3)*(7*c + 48)/7
Solve -3*u**2 + 3 = 0.
-1, 1
Factor 4*l**4 + 48*l**3 + 80*l**2.
4*l**2*(l + 2)*(l + 10)
Factor 4*n**3 - 16*n**2 - 44*n - 24.
4*(n - 6)*(n + 1)**2
Determine d so that -d**5 - 160*d**4 + 325*d**3 + 160*d**2 - 324*d = 0.
-162, -1, 0, 1, 2
Factor 2*d**3/9 - 28*d**2/9 - 2*d/9 + 28/9.
2*(d - 14)*(d - 1)*(d + 1)/9
Determine q, given that 22*q**4/9 - 4*q**3/3 - 22*q**2/3 + 80*q/9 - 8/3 = 0.
-2, 6/11, 1
Let 5*t**3 + 105*t**2 - 225*t + 115 = 0. Calculate t.
-23, 1
Suppose -26*k**3/17 + 548*k**2/17 - 1446*k/17 + 108/17 = 0. What is k?
1/13, 3, 18
Find l such that -3*l**2/4 + 423*l - 59643 = 0.
282
Factor -507*g**2/5 - 5616*g - 77760.
-3*(13*g + 360)**2/5
Factor -u**4 + 27*u**3 + 57*u**2 + 29*u.
-u*(u - 29)*(u + 1)**2
Determine c, given that -4*c**4 + 16*c**3 + 12*c**2 - 72*c = 0.
-2, 0, 3
Find r, given that 2*r**2/3 + 254*r + 756 = 0.
-378, -3
Find o, given that -o**3/5 + 4*o**2 - 107*o/5 + 88/5 = 0.
1, 8, 11
Determine l so that -16*l**4/3 + 1528*l**3/3 + 775*l**2/3 - 673*l/3 + 32 = 0.
-1, 1/4, 96
Suppose -2*n**4 - 94*n**3 - 182*n**2 - 90*n = 0. Calculate n.
-45, -1, 0
Solve 5*c**2 + 640*c + 20480 = 0.
-64
Determine r, given that 9*r**3 - 21*r**2 - 54*r - 24 = 0.
-1, -2/3, 4
Find h, given that -3*h**5/7 + 36*h**4/7 - 24*h**3/7 - 114*h**2/7 + 171*h/7 - 66/7 = 0.
-2, 1, 11
Let -2*v**4 - 50*v**3 - 178*v**2 - 214*v - 84 = 0. What is v?
-21, -2, -1
What is f in -10*f**3/19 + 636*f**2/19 + 256*f/19 = 0?
-2/5, 0, 64
Suppose -15*c**4 + 95*c**3 + 730*c**2 + 440*c = 0. Calculate c.
-4, -2/3, 0, 11
Factor 5*d**4 - 30*d**3 + 60*d**2 - 40*d.
5*d*(d - 2)**3
Factor 5*n**3 + 180*n**2 - 185*n.
5*n*(n - 1)*(n + 37)
What is f in -2*f**4 + 44*f**3 - 136*f**2 - 1196*f - 1014 = 0?
-3, -1, 13
Find a such that 2*a**5/9 - 8*a**3/9 + 4*a**2/9 + 2*a/3 - 4/9 = 0.
-2, -1, 1
Factor -4*t**2 + 408*t - 10404.
-4*(t - 51)**2
Factor -36*n**3 - 132*n**2 + 47*n - 4.
-(n + 4)*(6*n - 1)**2
Suppose 10*w**5 + 4*w**4 - 226*w**3 + 572*w**2 - 504*w + 144 = 0. What is w?
-6, 3/5, 1, 2
Factor -81*n**4/4 + 1053*n**3/2 - 513*n**2 + 339*n/2 - 75/4.
-3*(n - 25)*(3*n - 1)**3/4
Factor 2*y**2 + 16*y.
2*y*(y + 8)
Let -3*v**4 - 54*v**3 - 48*v**2 + 54*v + 51 = 0. Calculate v.
-17, -1, 1
Let 2*f**5 + 100*f**4 - 534*f**3 + 872*f**2 - 440*f = 0. What is f?
-55, 0, 1, 2
Suppose 3*t**2/5 - 66*t/5 - 192 = 0. Calculate t.
-10, 32
Let b**3/7 + 95*b**2/7 + 2208*b/7 - 2304/7 = 0. Calculate b.
-48, 1
Factor h**4/6 + 19*h**3/6 + 119*h**2/6 + 245*h/6.
h*(h + 5)*(h + 7)**2/6
Let d**3 + 2*d**2 - 15*d = 0. Calculate d.
-5, 0, 3
What is c in 21*c**5/5 - 57*c**4/5 - 228*c