+ 95)
Factor 12*q**4 - 8*q**3 - 52*q**2 - 32*q.
4*q*(q + 1)**2*(3*q - 8)
Factor 5*w**2 - 110*w + 105.
5*(w - 21)*(w - 1)
Factor -3*p**2 - 1344*p + 2700.
-3*(p - 2)*(p + 450)
Let 2*q**3/13 + 450*q**2/13 + 448*q/13 = 0. Calculate q.
-224, -1, 0
Find t, given that -t**3/8 - 7*t**2/4 - 13*t/8 = 0.
-13, -1, 0
Factor -12*h**2/5 - 2*h + 2/5.
-2*(h + 1)*(6*h - 1)/5
Determine x, given that 2*x**5/3 + 16*x**4/3 + 2*x**3/3 - 164*x**2/3 - 40*x/3 + 400/3 = 0.
-5, -2, 2
Factor k**5/6 + 11*k**4/3 + 59*k**3/2 + 308*k**2/3 + 392*k/3.
k*(k + 4)**2*(k + 7)**2/6
Factor -h**4/6 - 224*h**3/3 - 50621*h**2/6 - 49729*h/3.
-h*(h + 2)*(h + 223)**2/6
Factor 2*u**3/5 + 16*u**2/5 - 62*u/5 + 44/5.
2*(u - 2)*(u - 1)*(u + 11)/5
Let -2*d**5/3 + 56*d**4/3 - 104*d**3/3 - 4*d**2/3 + 106*d/3 - 52/3 = 0. What is d?
-1, 1, 26
Find d such that -d**3/2 - 275*d**2/2 = 0.
-275, 0
Solve 14*y**5/5 - 88*y**4/5 + 2*y**3 + 88*y**2/5 - 24*y/5 = 0 for y.
-1, 0, 2/7, 1, 6
Factor -5*y**2 + 35*y - 60.
-5*(y - 4)*(y - 3)
What is z in -12*z**2 - 2283*z - 570 = 0?
-190, -1/4
Find c such that 5*c**4 + 110*c**3 + 105*c**2 = 0.
-21, -1, 0
Determine m so that -35*m**5 - 2133*m**4 - 1978*m**3 + 120*m**2 = 0.
-60, -1, 0, 2/35
Factor -y**3/3 - 8*y**2/3 - 5*y/3 + 50/3.
-(y - 2)*(y + 5)**2/3
Factor m**3/5 - 18*m**2.
m**2*(m - 90)/5
Solve 3*l**5 - 77*l**4/5 + 17*l**3 + 13*l**2 - 20*l + 12/5 = 0.
-1, 2/15, 1, 2, 3
Factor 2*r**3 - 1094*r**2 + 4352*r - 4344.
2*(r - 543)*(r - 2)**2
Factor b**2/5 + 7*b + 34/5.
(b + 1)*(b + 34)/5
Factor 5*w**2/2 + 1005*w/2 + 500.
5*(w + 1)*(w + 200)/2
Suppose 2*t**5/3 - 32*t**4/3 - 632*t**3/3 - 1120*t**2/3 = 0. Calculate t.
-10, -2, 0, 28
Factor k**5/9 - 7*k**4/9 + 13*k**3/9 + k**2/3 - 2*k.
k*(k - 3)**2*(k - 2)*(k + 1)/9
Suppose -3*p**4 - 39*p**3 + 42*p**2 = 0. What is p?
-14, 0, 1
Factor 2*d**3/15 + 112*d**2/15 - 98*d/3 - 40.
2*(d - 5)*(d + 1)*(d + 60)/15
Solve -2*l**2 + l + 1 = 0.
-1/2, 1
What is g in 4*g**5 - 32*g**4 + 52*g**3 - 24*g**2 = 0?
0, 1, 6
Factor 5*h**3 + 90*h**2.
5*h**2*(h + 18)
Factor i**4 + 6*i**3 - 12*i**2 - 70*i + 75.
(i - 3)*(i - 1)*(i + 5)**2
What is p in 3*p**4/2 - 3*p**3 - 27*p**2/2 + 3*p + 12 = 0?
-2, -1, 1, 4
Factor 3*t**3/7 - 27*t**2/7 + 60*t/7.
3*t*(t - 5)*(t - 4)/7
Let d**4/6 - d**3/3 - d**2/2 = 0. What is d?
-1, 0, 3
Find u, given that 12*u**5 - 272*u**4 + 1240*u**3 + 720*u**2 - 1252*u - 448 = 0.
-1, -1/3, 1, 7, 16
Factor x**5/2 + 27*x**4/2 + 25*x**3 - x**2 - 51*x/2 - 25/2.
(x - 1)*(x + 1)**3*(x + 25)/2
What is z in 3*z**4/5 + 3*z**3 = 0?
-5, 0
Factor -3*q**3/4 + 9*q**2/2 - 33*q/4 + 9/2.
-3*(q - 3)*(q - 2)*(q - 1)/4
Suppose -5*d**2 - 280*d - 3920 = 0. What is d?
-28
What is n in 5*n**5 - 50*n**4 + 145*n**3 - 160*n**2 + 60*n = 0?
0, 1, 2, 6
Factor m**3 + 136*m**2 - 137*m.
m*(m - 1)*(m + 137)
Solve 4*f**3 - 84*f**2 + 480*f - 832 = 0.
4, 13
What is t in t**4 - 12*t**3 - t**2 + 12*t = 0?
-1, 0, 1, 12
Factor 2*i**4/11.
2*i**4/11
Suppose 3*x**5 + 15*x**4 - 63*x**3 - 243*x**2 + 324*x + 972 = 0. What is x?
-6, -3, -2, 3
What is z in -60*z**5 + 800*z**4 - 2035*z**3 + 265*z**2 + 880*z - 300 = 0?
-2/3, 1/2, 3, 10
Suppose 435*d**5/2 - 438*d**4 + 6*d**3 = 0. Calculate d.
0, 2/145, 2
Solve 3*s**5/2 + 36*s**4 + 186*s**3 - 261*s**2 - 375*s/2 + 225 = 0 for s.
-15, -10, -1, 1
Factor 25*y**2 + 90*y + 65.
5*(y + 1)*(5*y + 13)
Factor -4*d**3/3 - 10*d**2/3 + 2*d.
-2*d*(d + 3)*(2*d - 1)/3
Factor h**3/6 - 29*h**2/2 + 127*h/3 - 28.
(h - 84)*(h - 2)*(h - 1)/6
Factor -u**3/5 - 61*u**2/5 - 192*u - 180.
-(u + 1)*(u + 30)**2/5
Factor m**4 + m**3 - 17*m**2 + 15*m.
m*(m - 3)*(m - 1)*(m + 5)
Find g such that 26*g**2/9 - 34*g/9 + 8/9 = 0.
4/13, 1
Factor -3*x**4/5 + 12*x**3/5 + 9*x**2 - 54*x/5.
-3*x*(x - 6)*(x - 1)*(x + 3)/5
Let 5*n**3 + 50*n**2 - 45*n - 450 = 0. What is n?
-10, -3, 3
Factor 6*i**4 + 14*i**3 - 12*i**2 - 24*i + 16.
2*(i - 1)*(i + 2)**2*(3*i - 2)
What is k in -2*k**4/11 - 174*k**3/11 - 502*k**2/11 + 174*k/11 + 504/11 = 0?
-84, -3, -1, 1
Suppose -20*x**4/9 + 88*x**3/9 + 1168*x**2/9 - 160*x/3 = 0. What is x?
-6, 0, 2/5, 10
Factor 2*l**4/17 - 4*l**3/17 - 24*l**2/17 + 80*l/17 - 64/17.
2*(l - 2)**3*(l + 4)/17
Factor -5*m**3 + 475*m**2 - 8000*m + 37500.
-5*(m - 75)*(m - 10)**2
Find w, given that -2*w**4 + 32*w**3 - 30*w**2 = 0.
0, 1, 15
Determine f so that -2*f**3/3 - 172*f**2/3 - 3640*f/3 - 22736/3 = 0.
-58, -14
Solve -5*h**5 + 10*h**4 + 380*h**3 + 1190*h**2 + 825*h = 0 for h.
-5, -3, -1, 0, 11
Let -5*u**4 - 45*u**3 + 915*u**2 + 1945*u + 990 = 0. Calculate u.
-18, -1, 11
What is a in -3*a**3 - 465*a**2 - 1812*a = 0?
-151, -4, 0
Factor 3*d**4/5 + 36*d**3/5 + 108*d**2/5.
3*d**2*(d + 6)**2/5
Suppose 3*c**2/5 + 8772*c/5 = 0. Calculate c.
-2924, 0
Let -2*x**3 - 14*x**2 + 34*x - 18 = 0. What is x?
-9, 1
Determine b, given that 3*b**3/7 + 321*b**2/7 + 318*b/7 = 0.
-106, -1, 0
Solve -c**2/4 + 7*c/2 - 33/4 = 0.
3, 11
Find w such that -2*w**4 - 22*w**3 - 72*w**2 - 72*w = 0.
-6, -3, -2, 0
Factor -2*u**2/15 + 26*u/15 - 24/5.
-2*(u - 9)*(u - 4)/15
Solve 2*d**4/9 - 16*d**3/9 + 14*d**2/9 = 0.
0, 1, 7
Factor 3*a**5/7 + 474*a**4/7 + 19191*a**3/7 + 36972*a**2/7 + 18252*a/7.
3*a*(a + 1)**2*(a + 78)**2/7
Find o such that 2*o**4/9 - 14*o**3/3 - 362*o**2/9 - 274*o/3 - 56 = 0.
-3, -1, 28
Let 2*s**3/5 - 16*s**2/5 - 374*s/5 + 3388/5 = 0. Calculate s.
-14, 11
Factor 3*u**5 - 111*u**4 + 1641*u**3 - 12117*u**2 + 44688*u - 65856.
3*(u - 8)**2*(u - 7)**3
Let -2*g**2 + 5972*g - 4458098 = 0. Calculate g.
1493
Let 4*v**4/3 - 68*v**3/3 - 136*v**2 - 688*v/3 - 352/3 = 0. What is v?
-2, -1, 22
Factor -2*b**5/7 + 30*b**3/7 + 20*b**2/7 - 120*b/7 - 144/7.
-2*(b - 3)**2*(b + 2)**3/7
Factor -27*t**2/5 - 106*t/5 + 8/5.
-(t + 4)*(27*t - 2)/5
Solve p**4/8 - 3*p**3/8 - 21*p**2/4 - 25*p/2 - 9 = 0 for p.
-2, 9
Factor -21*u**4 - 99*u**3 - 54*u**2 + 24*u.
-3*u*(u + 1)*(u + 4)*(7*u - 2)
Let s**5 - 20*s**4 + 16*s**3 + 58*s**2 - 17*s - 38 = 0. Calculate s.
-1, 1, 2, 19
Factor 65*b**3 + 335*b**2 + 440*b + 60.
5*(b + 2)*(b + 3)*(13*b + 2)
Solve 2*y**3/3 + 50*y**2/9 + 16*y/9 = 0 for y.
-8, -1/3, 0
What is f in 5*f**5 - 20*f**4 - 15*f**3 + 50*f**2 + 40*f = 0?
-1, 0, 2, 4
Solve -l**3/2 + 3*l**2/2 + 20*l = 0.
-5, 0, 8
Suppose -p**5/3 - 20*p**4 + p**3 + 182*p**2/3 + 40*p = 0. What is p?
-60, -1, 0, 2
Factor 20*r**2 + 3028*r + 1208.
4*(r + 151)*(5*r + 2)
Solve 180*c**5 + 3360*c**4 + 11345*c**3 - 39665*c**2 + 33600*c - 8820 = 0 for c.
-21/2, 2/3, 1
Solve -3*m**4/5 + 144*m**3/5 - 129*m**2/5 - 576*m/5 + 564/5 = 0 for m.
-2, 1, 2, 47
Factor 3*k**2/4 - 243*k/2 + 19683/4.
3*(k - 81)**2/4
Suppose 4*p**4 - 24*p**3 + 128*p = 0. What is p?
-2, 0, 4
Suppose 21*o**3/8 + 15*o**2 + 33*o/2 - 6 = 0. Calculate o.
-4, -2, 2/7
What is u in -4*u**4 - 116*u**3 + 12*u**2 + 340*u - 232 = 0?
-29, -2, 1
Factor 4*s**4/7 - 20*s**3/7 + 4*s**2 - 12*s/7.
4*s*(s - 3)*(s - 1)**2/7
Find k, given that -3*k**2/4 - 69*k/4 - 33/2 = 0.
-22, -1
What is p in -5*p**3 - 5*p**2 + 50*p - 40 = 0?
-4, 1, 2
Factor 2*y**3/9 + 304*y**2/9 - 310*y/9 - 68.
2*(y - 2)*(y + 1)*(y + 153)/9
Factor -2*i**3 + 38*i**2.
-2*i**2*(i - 19)
Factor v**3 - 53*v**2 - 56*v + 108.
(v - 54)*(v - 1)*(v + 2)
Let -2*o**3/3 - 50*o**2 + 1892*o/3 = 0. What is o?
-86, 0, 11
Let 20*z**5/9 - 2192*z**4/9 + 5588*z**3/9 - 856*z**2/3 = 0. What is z?
0, 3/5, 2, 107
Factor 2*a**2 + 24*a + 40.
2*(a + 2)*(a + 10)
Suppose -2*q**4/5 - 16*q**3/5 - 34*q**2/5 - 4*q = 0. Calculate q.
-5, -2, -1, 0
Factor -p**4/4 + 3*p**3/2 + 7*p**2/4.
-p**2*(p - 7)*(p + 1)/4
Factor -z**3/7 + 3*z**2/7 + 118*z/7 - 120/7.
-(z - 12)*(z - 1)*(z + 10)/7
Let v**4 + v**3 - 27*v**2 + 27*v + 54 = 0. Calculate v.
-6, -1, 3
Suppose t**5/3 - 5*t**4/3 + t**3/3 + 7*t**2 - 6*t = 0. Calculate t.
-2, 0, 1, 3
Suppose -2*c**3/11 - 6*c**2/11 + 8*c/11 + 24/11 = 0. Calculate c.
-3, -2, 2
Solve 12*j**5/5 + 58*j**4/5 - 296*j**3/5 + 104*j**2/5 + 64*j = 0 for j.
-8, -5/6, 0, 2
Factor 15*x**3 - 9609*x**2 + 15324*x + 7668.
3*(x - 639)*(x - 2)*(5*x + 2)
Solve 5*c**3 - 170*c**2 = 0.
0, 34
Factor -2*f**3/17 - 24*f**2/17 - 22*f/17.
-2*f*(f + 1)*(f + 11)/17
Factor -4*o**4 + 172*o**3 - 2220*o**2 + 7828*o - 5776.
-4*(o - 19)**2*(o - 4)*(o - 1)
Determine t so that -2*t**4/7 - 36*t**3/7 + 64*t**2/7 + 2340*t/7 - 338 = 0.
-13, 1, 7
Factor u**4 + 3*u**3 - u**2 - 3*u.
u*(u - 1)*(u + 1)*(u + 3)
Solve 2*b**3/23 + 290*b**2/23 + 574*b/23 + 286/23 = 0.
-143, -1
Find n such that -2*n**4/3 