/7
Factor -4*s**4 + 16*s**3 + 44*s**2 - 120*s.
-4*s*(s - 5)*(s - 2)*(s + 3)
Find w, given that -5*w**4 - 15*w**3 + 20*w = 0.
-2, 0, 1
Factor 3*g**4 + 39*g**3 + 171*g**2 + 297*g + 162.
3*(g + 1)*(g + 3)**2*(g + 6)
Let 2*i**2/15 - 388*i/5 - 4688/15 = 0. What is i?
-4, 586
Factor t**2/3 + 160*t/3 + 6400/3.
(t + 80)**2/3
Determine o, given that -8*o**4/3 - 1046*o**3/3 + 262*o**2/3 = 0.
-131, 0, 1/4
Find v, given that v**3/3 + 47*v**2/3 - 97*v/3 + 49/3 = 0.
-49, 1
Find b such that 4*b**3/7 - 246*b**2/7 + 3720*b/7 + 1922/7 = 0.
-1/2, 31
Determine b, given that -2*b**2/5 + 156*b/5 + 158/5 = 0.
-1, 79
Factor -2*b**2 - 196*b + 1470.
-2*(b - 7)*(b + 105)
What is g in -2*g**4/9 + 100*g**3/9 - 1138*g**2/9 - 3016*g/9 + 1352/3 = 0?
-3, 1, 26
Let -a**4 + 9*a**2 + 4*a - 12 = 0. Calculate a.
-2, 1, 3
Factor -3*l**2/4 - 12*l + 315/4.
-3*(l - 5)*(l + 21)/4
What is j in 5*j**3 - 85*j**2 + 200*j + 1500 = 0?
-3, 10
Factor k**2/9 - 4*k/3 + 3.
(k - 9)*(k - 3)/9
Suppose 2*l**5/7 + 2*l**4 - 80*l**2/7 - 32*l/7 + 96/7 = 0. What is l?
-6, -2, 1, 2
Suppose -3*s**5 + 45*s**4 + 1914*s**3 + 12564*s**2 + 7080*s - 21600 = 0. Calculate s.
-10, -2, 1, 36
Solve r**4 + r**3 - 3*r**2 - 5*r - 2 = 0 for r.
-1, 2
Solve -2*w**4 - 35*w**3/2 - 15*w**2/2 + 35*w - 8 = 0.
-8, -2, 1/4, 1
Determine w so that 3*w**3/5 + 33*w**2/5 + 57*w/5 + 27/5 = 0.
-9, -1
Factor -4*z**2 + 1648*z - 169744.
-4*(z - 206)**2
Factor -k**3/4 - 37*k**2/4 - 55*k - 75.
-(k + 2)*(k + 5)*(k + 30)/4
Factor r**3/4 + 105*r**2/4 - 108*r + 109.
(r - 2)**2*(r + 109)/4
Suppose -5*d**4 + 30*d**3 + 15*d**2 - 80*d - 60 = 0. Calculate d.
-1, 2, 6
Factor -f**4 - 166*f**3 - 653*f**2 - 812*f - 324.
-(f + 1)**2*(f + 2)*(f + 162)
Factor -4*x**3 - 388*x**2 - 2544*x - 2160.
-4*(x + 1)*(x + 6)*(x + 90)
Let 80*l**5 + 1008*l**4 + 2404*l**3 - 4768*l**2 + 2436*l - 392 = 0. Calculate l.
-7, 2/5, 1/2
Factor 5*k**5 - 5*k**4 - 15*k**3 + 5*k**2 + 10*k.
5*k*(k - 2)*(k - 1)*(k + 1)**2
Factor 3*o**3/8 - 231*o**2/8 + 111*o/4 + 57.
3*(o - 76)*(o - 2)*(o + 1)/8
Suppose u**3/3 - 2*u**2/3 - 19*u - 18 = 0. Calculate u.
-6, -1, 9
Factor -4*y**3 + 48*y - 64.
-4*(y - 2)**2*(y + 4)
Determine q so that -q**2/2 + 14*q + 93/2 = 0.
-3, 31
Solve 6*t**2/11 - 60*t/11 - 6 = 0.
-1, 11
Determine q so that 9*q**5 - 2261*q**4 + 138805*q**3 + 404749*q**2 - 96774*q = 0.
-3, 0, 2/9, 127
Factor -h**2 + 24*h - 23.
-(h - 23)*(h - 1)
Determine u so that 5*u**5 - 60*u**4 - 250*u**3 + 360*u**2 + 245*u - 300 = 0.
-4, -1, 1, 15
Determine q so that -2*q**2 - 2*q + 12 = 0.
-3, 2
Factor c**3/3 - c**2/3 - c/3 + 1/3.
(c - 1)**2*(c + 1)/3
Find z, given that -z**5/3 + z**4/3 + 3*z**3 - z**2/3 - 20*z/3 - 4 = 0.
-2, -1, 2, 3
Find f, given that -15*f**5/8 - 31*f**4/8 + 479*f**3/4 - 292*f**2 - 20*f = 0.
-10, -1/15, 0, 4
Find a, given that 3*a**4 + 3*a**3 - 66*a**2 + 132*a - 72 = 0.
-6, 1, 2
Solve -6*l**2 - 57*l + 30 = 0.
-10, 1/2
Suppose n**5/4 - 5*n**4/4 + n**3/4 + 13*n**2/4 - n/2 - 2 = 0. What is n?
-1, 1, 2, 4
Factor -y**3 + 1302*y**2 + y - 1302.
-(y - 1302)*(y - 1)*(y + 1)
Factor -3*w**2/5 + 84*w/5 + 3087/5.
-3*(w - 49)*(w + 21)/5
Factor z**5/2 - 8*z**4 + 97*z**3/2 - 139*z**2 + 190*z - 100.
(z - 5)**2*(z - 2)**3/2
Let 68*l**5 - 1504*l**4 + 1604*l**3 - 168*l**2 = 0. Calculate l.
0, 2/17, 1, 21
Factor -v**4/3 + 11*v**3/3 + 131*v**2/3 + 127*v + 114.
-(v - 19)*(v + 2)*(v + 3)**2/3
Factor d**3 + 127*d**2 + 5035*d + 58989.
(d + 21)*(d + 53)**2
Let -p**2/3 - p/3 + 2/3 = 0. What is p?
-2, 1
Determine m, given that -3*m**2/2 - 153*m - 7803/2 = 0.
-51
Find c such that -6*c**2/13 + 500*c/13 + 336/13 = 0.
-2/3, 84
Factor l**3 - 12*l**2 + 32*l.
l*(l - 8)*(l - 4)
Factor -3*n**2 + 3390*n + 3393.
-3*(n - 1131)*(n + 1)
Solve -4*x**4 - 8*x**3 + 12*x**2 + 16*x - 16 = 0 for x.
-2, 1
Factor 845*u**3 + 16380*u**2 + 102000*u + 200000.
5*(u + 4)*(13*u + 100)**2
Factor 3*u**4/4 + 11*u**3/4 + u**2 - 5*u - 4.
(u + 1)*(u + 2)**2*(3*u - 4)/4
What is m in -2*m**5/7 - 92*m**4/7 - 498*m**3/7 - 104*m**2 - 320*m/7 = 0?
-40, -4, -1, 0
Find p, given that -p**3/4 - 7*p**2/2 - 6*p = 0.
-12, -2, 0
Determine h, given that 2*h**2 - 1038*h - 7364 = 0.
-7, 526
Solve 2*h**3/3 + 110*h**2 + 218*h + 326/3 = 0 for h.
-163, -1
Find u such that 2*u**2/9 - 2050*u/9 + 2048/9 = 0.
1, 1024
Factor -5*d**3 + 60*d - 80.
-5*(d - 2)**2*(d + 4)
Factor 9*h**3/7 + 38*h**2/7 + 8*h/7.
h*(h + 4)*(9*h + 2)/7
Let -92*i**5/7 + 928*i**4/7 - 3484*i**3/7 + 5816*i**2/7 - 3792*i/7 + 288/7 = 0. What is i?
2/23, 2, 3
Let -4*f**2 - 2440*f - 2436 = 0. What is f?
-609, -1
Suppose 5*f**4 + 170*f**3 + 1560*f**2 + 2560*f - 12800 = 0. What is f?
-20, -8, 2
What is p in -39*p**2/7 + 6*p - 3/7 = 0?
1/13, 1
Suppose 2*t**4/3 - 8*t**3/3 - 12*t**2 - 40*t/3 - 14/3 = 0. What is t?
-1, 7
Factor 3*c**3 + 198*c**2 - 405*c + 204.
3*(c - 1)**2*(c + 68)
Factor k**2/4 + 7*k/4 - 9/2.
(k - 2)*(k + 9)/4
Factor -x**4/2 + 6*x**3 - 29*x**2/2 + 9*x.
-x*(x - 9)*(x - 2)*(x - 1)/2
Find j, given that -2*j**4/11 - 980*j**3/11 + 5934*j**2/11 - 8920*j/11 + 3968/11 = 0.
-496, 1, 4
Suppose 3*t**4 - 24*t**3 - 174*t**2 - 264*t - 117 = 0. What is t?
-3, -1, 13
Factor 5*o**3 + 165*o**2 - 345*o + 175.
5*(o - 1)**2*(o + 35)
Factor -6*h**2 - 46*h + 16.
-2*(h + 8)*(3*h - 1)
What is o in o**5/11 - o**4/11 - o**3 - 7*o**2/11 + 10*o/11 + 8/11 = 0?
-2, -1, 1, 4
Let 2*b**3/9 + 52*b**2/9 + 32*b/3 = 0. What is b?
-24, -2, 0
What is r in -2*r**3/7 + 12*r**2 - 792*r/7 - 1936/7 = 0?
-2, 22
Factor 2*c**4/5 + 22*c**3/5 - 126*c**2/5 - 1782*c/5 - 2916/5.
2*(c - 9)*(c + 2)*(c + 9)**2/5
Let 3*q**3/5 + 21*q**2/5 + 6*q = 0. Calculate q.
-5, -2, 0
Suppose -s**4/2 - 112*s**3 - 8447*s**2 - 243600*s - 4730625/2 = 0. What is s?
-87, -25
Let 15*t**4 + 26*t**3 - 17*t**2 - 20*t - 4 = 0. What is t?
-2, -2/5, -1/3, 1
Solve n**5 - 10*n**4 - 107*n**3 + 660*n**2 + 4356*n = 0 for n.
-6, 0, 11
What is c in -2*c**5/7 - 2*c**4/7 + 6*c**3/7 + 2*c**2/7 - 4*c/7 = 0?
-2, -1, 0, 1
Let 2*x**5/11 + 304*x**4/11 + 1104*x**3 + 44992*x**2/11 + 43808*x/11 = 0. Calculate x.
-74, -2, 0
Find x such that 2*x**3 + 80*x**2 + 512*x = 0.
-32, -8, 0
Factor -3*j**3/5 + 78*j**2/5 - 15*j.
-3*j*(j - 25)*(j - 1)/5
Let -9*q**4 + 223*q**3 - 166*q**2 - 48*q = 0. What is q?
-2/9, 0, 1, 24
Determine n, given that 4*n**5/3 + 4*n**4 - 20*n**3/3 - 4*n**2 + 16*n/3 = 0.
-4, -1, 0, 1
Factor 5*u**5 + 70*u**4 + 230*u**3 + 320*u**2 + 205*u + 50.
5*(u + 1)**4*(u + 10)
Find j, given that j**3 - 9*j**2 + 20*j - 12 = 0.
1, 2, 6
What is c in -c**5/4 + 3*c**4/2 - 11*c**3/4 + c**2/2 + 3*c - 2 = 0?
-1, 1, 2
Find i, given that 27*i**3 + 12069*i**2 + 12048*i + 2676 = 0.
-446, -2/3, -1/3
Factor 2*l**3/13 - 132*l**2/13 - 134*l/13.
2*l*(l - 67)*(l + 1)/13
Factor x**4 - 7*x**3/3 - 19*x**2/3 - 5*x/3 + 4/3.
(x - 4)*(x + 1)**2*(3*x - 1)/3
Factor 3*s**2 - 48*s - 51.
3*(s - 17)*(s + 1)
Let q**3/2 + 73*q**2 + 2736*q + 5184 = 0. What is q?
-72, -2
Factor v**4/2 + 2*v**3 + v**2/2 - 3*v.
v*(v - 1)*(v + 2)*(v + 3)/2
Factor 3*x**2 + 189*x + 366.
3*(x + 2)*(x + 61)
Let -5*a**2 - 88*a - 51 = 0. Calculate a.
-17, -3/5
Find t, given that 4*t**3 + 176*t**2 + 948*t + 1368 = 0.
-38, -3
Factor -2*y**4/13 - 108*y**3/13 - 1944*y**2/13 - 11664*y/13.
-2*y*(y + 18)**3/13
Factor -3*d**2 - 114*d.
-3*d*(d + 38)
Let i**2/5 - 2*i - 11/5 = 0. What is i?
-1, 11
Factor -2*q**5/13 + 414*q**4/13.
-2*q**4*(q - 207)/13
Determine f, given that -4*f**4 + 40*f**3 + 68*f**2 - 264*f = 0.
-3, 0, 2, 11
Determine k so that -5*k**3 + 455*k**2 - 2170*k + 1720 = 0.
1, 4, 86
Let 5*x**4 - 13340*x**3 + 13346670*x**2 - 5934819260*x + 989631111605 = 0. Calculate x.
667
Factor 3*c**5/5 - 6*c**4/5 - 9*c**3/5 + 12*c**2/5 + 12*c/5.
3*c*(c - 2)**2*(c + 1)**2/5
What is w in 2*w**4 + 34*w**3 + 30*w**2 - 34*w - 32 = 0?
-16, -1, 1
Suppose 4*t**3 + 652*t**2 + 3176*t + 2528 = 0. Calculate t.
-158, -4, -1
Factor 3*o**3 - 1695*o**2 + 240264*o - 238572.
3*(o - 282)**2*(o - 1)
Factor -5*m**4 - 75*m**3.
-5*m**3*(m + 15)
Determine g, given that 2*g**3/9 + 26*g**2/9 = 0.
-13, 0
Find o such that -o**5 + 4*o**4 - 3*o**3 - 4*o**2 + 4*o = 0.
-1, 0, 1, 2
Factor 4*y**3/5 + 1072*y**2/5.
4*y**2*(y + 268)/5
Factor 5*i**2 - 3*i.
i*(5*i - 3)
Factor l**2 + 294*l + 584.
(l + 2)*(l + 292)
Determine x, given that -x**2/2 + 51*x - 2601/2 = 0.
51
Factor -2*y**4 + 28*y**3 + 150*y**2 - 656*y - 2720.
-2*(y - 17)*(y - 5)*(y + 4)**2
Solve 9*n**5/4 - 223*n**4/4 + 731*n**3/2 - 240*n