 - 2)*(m + 23)*(3*m + 1)/3
Factor 2*h**2 + 836*h + 87362.
2*(h + 209)**2
Factor -15*k**3 + 80*k**2 + 60*k.
-5*k*(k - 6)*(3*k + 2)
Factor -q**4/7 + 3*q**3/7 + q**2/7 - 3*q/7.
-q*(q - 3)*(q - 1)*(q + 1)/7
Factor -2*l**2/3 - 1538*l/3.
-2*l*(l + 769)/3
Factor -2*x**2/3 - 12*x.
-2*x*(x + 18)/3
Let -u**2 + 514*u - 66049 = 0. What is u?
257
Determine b so that 35*b**2 - 125*b + 60 = 0.
4/7, 3
Factor -2*d**3/7 + 82*d**2/7 - 114*d - 126.
-2*(d - 21)**2*(d + 1)/7
Determine m, given that -2*m**4/21 - 68*m**3/21 - 160*m**2/7 - 764*m/21 - 50/3 = 0.
-25, -7, -1
Factor -5*n**5 + 20*n**4 - 30*n**3 + 20*n**2 - 5*n.
-5*n*(n - 1)**4
Factor 2*f**5/7 - 54*f**4/7 + 486*f**3/7 - 1458*f**2/7.
2*f**2*(f - 9)**3/7
Factor 2*z**3/5 + 18*z**2/5 - 42*z/5 + 22/5.
2*(z - 1)**2*(z + 11)/5
Find w, given that 7*w**4/3 + 145*w**3/3 + 301*w**2 + 477*w - 162 = 0.
-9, -3, 2/7
Factor 500*o**4 + 24800*o**3 + 14760*o**2 + 2944*o + 196.
4*(o + 49)*(5*o + 1)**3
Factor -h**3/6 - 13*h**2/6 + 5*h.
-h*(h - 2)*(h + 15)/6
Factor 14*k**3/9 + 94*k**2/9 - 140*k/9 + 32/9.
2*(k - 1)*(k + 8)*(7*k - 2)/9
Factor -r**5 + 22*r**4 - 59*r**3 + 38*r**2.
-r**2*(r - 19)*(r - 2)*(r - 1)
Factor -z**2/3 + 17*z + 106/3.
-(z - 53)*(z + 2)/3
Solve 5*c**3 + 705*c**2 + 2070*c = 0 for c.
-138, -3, 0
Factor -2*c**2 - 22*c - 20.
-2*(c + 1)*(c + 10)
Suppose -2*h**2/7 - 300*h/7 - 11250/7 = 0. What is h?
-75
Factor -2*z**2/9 + 10*z/3.
-2*z*(z - 15)/9
Factor 4*t**2/5 + 192*t/5 - 80.
4*(t - 2)*(t + 50)/5
Factor -529*b**2/3 + 276*b - 108.
-(23*b - 18)**2/3
Find t such that -t**5 - 8*t**4 - 6*t**3 + 40*t**2 - 25*t = 0.
-5, 0, 1
Determine o, given that 4*o**3/3 + 44*o**2/3 - 16*o = 0.
-12, 0, 1
Let -4*k**5/7 - 20*k**4/7 + 72*k**3/7 + 104*k**2/7 - 68*k/7 - 12 = 0. What is k?
-7, -1, 1, 3
Find s, given that 5*s**3/3 + 100*s**2/3 + 85*s/3 - 190/3 = 0.
-19, -2, 1
Find n such that n**5/3 - 2*n**4 + 10*n**3/3 - 11*n/3 + 2 = 0.
-1, 1, 2, 3
Factor 32*l**5 - 228*l**4 + 28*l**3.
4*l**3*(l - 7)*(8*l - 1)
Find b such that -b**5 - 131*b**4 - 3667*b**3 + 40347*b**2 - 128520*b + 132300 = 0.
-70, 3
Solve 25*q**3 - 1820*q**2 + 6880*q = 0 for q.
0, 4, 344/5
Find p, given that -4*p**4 - 64*p**3 - 248*p**2 - 320*p - 132 = 0.
-11, -3, -1
Factor 4*n**5/3 + 16*n**4/3 - 16*n**3 - 128*n**2/3 + 256*n/3.
4*n*(n - 2)**2*(n + 4)**2/3
Let 50*f**4 - 860*f**3 + 3338*f**2 + 3096*f + 648 = 0. What is f?
-2/5, 9
Factor -3*z**3/7 - 9900*z**2/7 - 10890000*z/7 - 3993000000/7.
-3*(z + 1100)**3/7
Factor -32*r**3/5 - 26*r**2/5 + 6*r/5.
-2*r*(r + 1)*(16*r - 3)/5
Factor -2*h**4/11 + 8*h**3/11 + 180*h**2/11 + 648*h/11 + 702/11.
-2*(h - 13)*(h + 3)**3/11
Let -x**4/3 - 5*x**3 - 58*x**2/3 - 28*x - 40/3 = 0. What is x?
-10, -2, -1
Factor 4*v**3/3 + 62*v**2/3 - 32*v/3.
2*v*(v + 16)*(2*v - 1)/3
Find w, given that w**5/7 - 4*w**4 - 31*w**3/7 + 58*w**2/7 = 0.
-2, 0, 1, 29
Factor -3*m**2 + 45*m + 228.
-3*(m - 19)*(m + 4)
Factor -4*w**2/5 - 14*w/5 + 6.
-2*(w + 5)*(2*w - 3)/5
Suppose -6*c**2/7 - 20*c/7 - 6/7 = 0. Calculate c.
-3, -1/3
Determine q so that 3*q**4/2 + 189*q**3/2 - 99*q**2 - 192*q = 0.
-64, -1, 0, 2
Factor 5*b**3 + 100*b**2 + 500*b.
5*b*(b + 10)**2
Find b, given that -25*b**5 - 4245*b**4/4 - 5995*b**3/4 - 2055*b**2/4 - 205*b/4 = 0.
-41, -1, -1/4, -1/5, 0
Factor -2*u**2 + 66*u.
-2*u*(u - 33)
Factor -5*c**4 - 75*c**3 - 70*c**2.
-5*c**2*(c + 1)*(c + 14)
Find s, given that -35*s**4 + 1485*s**3 - 16045*s**2 + 5775*s + 8820 = 0.
-4/7, 1, 21
Find b such that 3*b**4/4 - 9*b**3 + 57*b**2/4 + 9*b - 15 = 0.
-1, 1, 2, 10
Solve 6*g**3 - 987*g**2 + 3369*g + 1932 = 0.
-1/2, 4, 161
Factor -4*g**5/5 + 32*g**3/5 - 64*g/5.
-4*g*(g - 2)**2*(g + 2)**2/5
Factor 6*d**3/11 + 228*d**2/11 - 66*d + 492/11.
6*(d - 2)*(d - 1)*(d + 41)/11
Solve z**3 + 2*z**2 - z - 2 = 0.
-2, -1, 1
Let i**2 + 74*i + 469 = 0. Calculate i.
-67, -7
Factor 5*t**3 - 180*t**2 - 785*t - 600.
5*(t - 40)*(t + 1)*(t + 3)
Suppose 4*u**2 + 328*u - 672 = 0. Calculate u.
-84, 2
Solve -h**2/7 - 38*h/7 + 123/7 = 0 for h.
-41, 3
Factor 4*w**3/5 + 13*w**2/5 - 37*w/5 - 2.
(w - 2)*(w + 5)*(4*w + 1)/5
Suppose -5*o**2 - 280*o - 2115 = 0. Calculate o.
-47, -9
Factor -w**4/5 + 6*w**3/5 + 16*w**2/5.
-w**2*(w - 8)*(w + 2)/5
Determine b, given that -4*b**5 - 4*b**4 + 44*b**3 + 116*b**2 + 104*b + 32 = 0.
-2, -1, 4
What is z in 3*z**4/4 - 45*z**3/4 + 21*z**2/2 = 0?
0, 1, 14
Determine z, given that z**3/3 - 107*z**2 - 215*z - 323/3 = 0.
-1, 323
Let 2*v**5 - 6*v**4 - 6*v**3 + 22*v**2 - 12*v = 0. What is v?
-2, 0, 1, 3
Suppose -2*n**2 + 86*n + 88 = 0. What is n?
-1, 44
Let -275*k**5 - 285*k**4 - 10*k**3 = 0. Calculate k.
-1, -2/55, 0
Find v such that 5*v**4/2 - 5*v**3/2 - 105*v**2/2 + 205*v/2 - 50 = 0.
-5, 1, 4
What is k in -16*k**3 + 10*k**2 + 486*k + 180 = 0?
-5, -3/8, 6
Factor -3*i**3 - 1989*i**2 + 16056*i - 32208.
-3*(i - 4)**2*(i + 671)
Factor 14*l**4 - 262*l**3 + 1310*l**2 - 738*l - 324.
2*(l - 9)**2*(l - 1)*(7*l + 2)
Factor -4*n**3 - 1292*n**2 - 2572*n - 1284.
-4*(n + 1)**2*(n + 321)
Suppose -2*z**3/3 - 54*z**2 + 164*z/3 = 0. What is z?
-82, 0, 1
Factor 3*i**3 + 126*i**2 + 1035*i - 6348.
3*(i - 4)*(i + 23)**2
Suppose -50*i**2/13 - 448*i/13 + 18/13 = 0. What is i?
-9, 1/25
Determine d so that -3*d**3 - 303*d**2 - 597*d - 297 = 0.
-99, -1
Factor -2*g**2/5 + 64*g - 2560.
-2*(g - 80)**2/5
Factor 2*f**4/15 - 706*f**3/15 - 142*f**2 - 2134*f/15 - 712/15.
2*(f - 356)*(f + 1)**3/15
Factor o**2 + 20*o/3 - 7/3.
(o + 7)*(3*o - 1)/3
Factor 2*l**3 + 678*l**2 + 76614*l + 2885794.
2*(l + 113)**3
Suppose -2*f**2/5 - 932*f/5 - 2778/5 = 0. What is f?
-463, -3
What is a in 2*a**2/5 + 24*a/5 + 64/5 = 0?
-8, -4
What is f in f**3 + 7*f**2 - 8*f = 0?
-8, 0, 1
Let 4*s**5/5 + 28*s**4/5 + 32*s**3/5 - 112*s**2/5 - 192*s/5 = 0. What is s?
-4, -3, -2, 0, 2
Factor 5*m**2 + 55*m/3.
5*m*(3*m + 11)/3
Factor 4*r**3 - 19596*r**2 + 32000268*r - 17418812548.
4*(r - 1633)**3
Suppose -2*i**5/5 + 22*i**4/5 - 14*i**3/5 - 294*i**2/5 = 0. What is i?
-3, 0, 7
Factor 3*z**4/5 + 84*z**3/5 + 159*z**2/5 + 78*z/5.
3*z*(z + 1)**2*(z + 26)/5
Solve -3*s**3 - 141*s**2 + 291*s - 147 = 0.
-49, 1
Let 9*t**5 - 156*t**4 + 645*t**3 - 198*t**2 = 0. Calculate t.
0, 1/3, 6, 11
Factor -20*l**2 + 3512*l + 1408.
-4*(l - 176)*(5*l + 2)
Determine i, given that -1805*i**2 - 22800*i - 72000 = 0.
-120/19
Find k such that k**5 - 27*k**4 + 104*k**3 + 1028*k**2 + 1920*k + 1024 = 0.
-2, -1, 16
Let 4*n**3 - 36*n**2 + 96*n - 64 = 0. Calculate n.
1, 4
Factor u**4 + 100*u**3 + 752*u**2 + 1472*u.
u*(u + 4)**2*(u + 92)
Determine q, given that -16*q**2/3 + 274*q/3 - 170 = 0.
17/8, 15
Factor -2*t**3 + 94*t**2 - 182*t + 90.
-2*(t - 45)*(t - 1)**2
Determine y so that y**3/9 - 4*y**2 - 52*y/3 - 160/9 = 0.
-2, 40
Suppose 4*n**5 - 36*n**4 - 64*n**3 + 240*n**2 = 0. What is n?
-3, 0, 2, 10
Solve -10*q**5 - 426*q**4 - 5048*q**3 - 10712*q**2 - 2880*q + 3200 = 0 for q.
-20, -2, -1, 2/5
Factor 2*p**3/3 - 196*p**2/3 + 760*p/3 - 752/3.
2*(p - 94)*(p - 2)**2/3
Let 414*l**3/17 + 410*l**2/17 - 4*l/17 = 0. Calculate l.
-1, 0, 2/207
Factor 4*i**4 + 700*i**3 - 1412*i**2 + 708*i.
4*i*(i - 1)**2*(i + 177)
Factor -2*k**3/7 + 2*k**2/7 + 80*k/7 - 32.
-2*(k - 4)**2*(k + 7)/7
Find n such that 370*n**2/3 - 122*n - 4/3 = 0.
-2/185, 1
Factor 3*k**3 - 30*k**2 - 39*k + 66.
3*(k - 11)*(k - 1)*(k + 2)
Factor -5*z**4 - 375*z**3 + 380*z**2.
-5*z**2*(z - 1)*(z + 76)
Solve -h**5/2 - 5*h**4 - 33*h**3/2 - 16*h**2 + 14*h + 24 = 0 for h.
-4, -3, -2, 1
Let -s**4 - 7*s**3 + 27*s**2 - 29*s + 10 = 0. What is s?
-10, 1
Factor 2*w**5 - 18*w**4 - 66*w**3 - 70*w**2 - 24*w.
2*w*(w - 12)*(w + 1)**3
Let -14*n**5/5 - 74*n**4/5 - 132*n**3/5 - 88*n**2/5 - 16*n/5 = 0. Calculate n.
-2, -1, -2/7, 0
Determine w so that -162*w**5/11 + 648*w**4/11 + 2862*w**3/11 + 3516*w**2/11 + 1800*w/11 + 336/11 = 0.
-1, -2/3, 7
Factor -15*k**3 + 145*k**2 - 390*k + 200.
-5*(k - 5)*(k - 4)*(3*k - 2)
Find i such that -3*i**5/5 + 3*i**4 + 18*i**3/5 = 0.
-1, 0, 6
What is f in 4*f**4 - 728*f**3 - 2208*f**2 - 2216*f - 740 = 0?
-1, 185
What is f in -f**2 + 285*f = 0?
0, 285
Let 3*n**5/7 - 18*n**3/7 + 24*n**2/7 - 9*n/7 = 0. What is n?
-3, 0, 1
Factor -4*h**4 + 1986*h**3 - 988033*h**2/4 + 123132*h - 15376.
-(h - 248)**2*(4*h - 1)**2/4
Solve 2*z**3 - 558*z**2 = 0.
0, 279
Factor -2*c**2 + 280*c + 282.
-2*(c - 141)*(c + 1)
Factor -5*g**5 - 30*g**4 - 60*g**3 - 50*g**2 - 15*g.
-5*g*(g + 1)**3*(g + 3)
Su