w + 243)
Let -2*k**5/9 + 2*k**4/3 + 50*k**3/9 + 50*k**2/9 - 16*k/3 - 56/9 = 0. What is k?
-2, -1, 1, 7
Determine l so that 4*l**2 - 1704*l + 181476 = 0.
213
Factor -p**3/3 + 3*p**2 - 8*p/3.
-p*(p - 8)*(p - 1)/3
Factor -154*l**2 + 37*l + 2.
-(7*l - 2)*(22*l + 1)
Factor 4*a**2 - 332*a - 336.
4*(a - 84)*(a + 1)
Factor i**3/2 - 2*i**2 - 7*i/2 + 5.
(i - 5)*(i - 1)*(i + 2)/2
What is w in -2*w**3/3 - 1514*w**2 + 3030*w - 4546/3 = 0?
-2273, 1
Solve -2*o**2/9 - 916*o/9 - 3632/9 = 0 for o.
-454, -4
Factor 5*w**5 - 50*w**4 + 40*w**3 + 50*w**2 - 45*w.
5*w*(w - 9)*(w - 1)**2*(w + 1)
Find q, given that q**4 - q**3 - 30*q**2 + 32*q + 160 = 0.
-5, -2, 4
Let 2*z**3/11 - 52*z**2/11 + 434*z/11 - 1176/11 = 0. Calculate z.
7, 12
Factor 4*y**3 - 74*y**2 - 118*y - 40.
2*(y - 20)*(y + 1)*(2*y + 1)
Let -20*d**5 - 72*d**4 + 592*d**3 - 864*d**2 + 256*d = 0. What is d?
-8, 0, 2/5, 2
Let 2*q**5/9 - 4*q**4/3 + 4*q**3/3 + 32*q**2/9 - 10*q/3 - 4 = 0. Calculate q.
-1, 2, 3
Find j, given that -2*j**4 + 22*j**3 - 28*j**2 - 160*j = 0.
-2, 0, 5, 8
Suppose -3*t**5 + 69*t**4 - 165*t**3 - 1185*t**2 - 312*t + 1596 = 0. Calculate t.
-2, 1, 7, 19
Factor 2*s**4/9 - 46*s**3/9 - 8*s**2/9 + 184*s/9.
2*s*(s - 23)*(s - 2)*(s + 2)/9
Factor 5*y**4/2 - 67*y**3/2 + 103*y**2 - 36*y.
y*(y - 9)*(y - 4)*(5*y - 2)/2
Factor 3*p**4 + 69*p**3 + 429*p**2 + 363*p.
3*p*(p + 1)*(p + 11)**2
Find y, given that -392*y**3 + 1008*y**2 + 486*y + 54 = 0.
-3/14, 3
Let i**5/4 + i**4/2 - 7*i**3/2 - 6*i**2 + 45*i/4 + 27/2 = 0. What is i?
-3, -1, 2, 3
Determine k so that 3*k**3 + 15*k**2 + 6*k - 24 = 0.
-4, -2, 1
Factor 2*g**2/3 + 6*g.
2*g*(g + 9)/3
Determine l so that -3*l**5/2 + 7*l**4 + 49*l**3/2 + 2*l**2 - 14*l = 0.
-2, -1, 0, 2/3, 7
Factor -y**4/7 + y**3/7 + 48*y**2/7 - 176*y/7 + 128/7.
-(y - 4)**2*(y - 1)*(y + 8)/7
Determine y, given that -y**2/4 - 119*y/2 - 2061/4 = 0.
-229, -9
Find n such that n**5 + 50*n**4/3 + 109*n**3/3 - 274*n**2 + 860*n/3 - 200/3 = 0.
-10, 1/3, 1, 2
Factor u**3/5 - 54*u**2/5 + 156*u - 1352/5.
(u - 26)**2*(u - 2)/5
Solve -3*k**3 - 147*k**2 + 468*k = 0.
-52, 0, 3
Factor 5*o**3 - 120*o**2 + 115*o.
5*o*(o - 23)*(o - 1)
What is q in -2*q**3/11 - 9136*q**2/11 - 10433312*q/11 = 0?
-2284, 0
Determine c so that -3*c**4/8 - 69*c**3/4 + 441*c**2/8 = 0.
-49, 0, 3
Factor -2*g**5/5 - 498*g**4 + 2492*g**3/5.
-2*g**3*(g - 1)*(g + 1246)/5
Suppose 5*y**5 + 55*y**4 + 70*y**3 - 400*y**2 = 0. Calculate y.
-8, -5, 0, 2
Let -x**4/4 + 37*x**3/2 - 451*x**2 + 3630*x = 0. Calculate x.
0, 22, 30
Factor 4*x**2 - 92*x + 360.
4*(x - 18)*(x - 5)
Solve -2*o**2 - 432*o - 23328 = 0 for o.
-108
Factor -q**3/4 - 13*q**2/4 + 7*q/2.
-q*(q - 1)*(q + 14)/4
Factor 4*q**5 + 16*q**4.
4*q**4*(q + 4)
Factor i**5 + 96*i**4 + 2484*i**3 + 8464*i**2.
i**2*(i + 4)*(i + 46)**2
Factor -2*i**2/3 - 92*i - 3174.
-2*(i + 69)**2/3
Determine f, given that 2*f**4 + 4*f**3 - 58*f**2 + 84*f = 0.
-7, 0, 2, 3
Solve 2*t**5/3 - 50*t**4/9 + 82*t**3/9 + 26*t**2/9 - 88*t/9 + 8/3 = 0.
-1, 1/3, 1, 2, 6
Factor -25*r**3 + 165*r**2 - 230*r - 120.
-5*(r - 4)*(r - 3)*(5*r + 2)
Let 18*w**3/5 - 111*w**2/5 - 51*w/5 + 78/5 = 0. What is w?
-1, 2/3, 13/2
Factor -5*x**3 - 465*x**2 + 480*x + 940.
-5*(x - 2)*(x + 1)*(x + 94)
Solve 23*s**3/3 + 71*s**2/3 + 52*s/3 + 4/3 = 0 for s.
-2, -1, -2/23
Solve 32*r**5 - 8*r**4 - 20*r**3 - 4*r**2 = 0 for r.
-1/2, -1/4, 0, 1
Find i, given that -16*i**2 - 452*i + 348 = 0.
-29, 3/4
Factor -r**4 + 34*r**3 + 109*r**2 + 74*r.
-r*(r - 37)*(r + 1)*(r + 2)
Find y such that 4*y**2 - 32*y + 48 = 0.
2, 6
Let -d**2/9 - 41*d/3 + 640/9 = 0. What is d?
-128, 5
Factor -12*f**4 - 1264*f**3 - 32860*f**2 + 22472*f.
-4*f*(f + 53)**2*(3*f - 2)
Solve -18*d**3/17 + 158*d**2/17 + 36*d/17 = 0.
-2/9, 0, 9
Let n**3/7 + 42*n**2 + 207*n + 1156/7 = 0. What is n?
-289, -4, -1
Suppose -4*u**3 + 612*u**2 - 31200*u + 529984 = 0. What is u?
49, 52
Factor -n**2/7 + 8*n/7 + 128/7.
-(n - 16)*(n + 8)/7
Let -w**3/7 - 2*w**2/7 = 0. What is w?
-2, 0
What is w in -2*w**4 + 11*w**3 - 19*w**2 + 13*w - 3 = 0?
1/2, 1, 3
Suppose 2*h**5/3 + 1150*h**4/3 + 264500*h**3/3 + 30417500*h**2/3 + 1749006250*h/3 + 40227143750/3 = 0. Calculate h.
-115
Factor x**5/6 - x**4/2 - 8*x**3/3 - 2*x**2.
x**2*(x - 6)*(x + 1)*(x + 2)/6
Find o such that -5*o**4/3 - 47*o**3/3 - 13*o**2/3 + 47*o/3 + 6 = 0.
-9, -1, -2/5, 1
Let 2*g**3/13 - 168*g**2/13 + 3528*g/13 = 0. Calculate g.
0, 42
Let -5*o**4 - 190*o**3 - 885*o**2 + 2360*o - 1280 = 0. Calculate o.
-32, -8, 1
Solve 2*k**4/7 + 78*k**3/7 - 8*k**2/7 - 312*k/7 = 0 for k.
-39, -2, 0, 2
Factor 3*i**5/2 + 6*i**4 - 48*i**3.
3*i**3*(i - 4)*(i + 8)/2
Solve -2*b**4/3 - 4*b**3/3 + 14*b**2/3 + 40*b/3 + 8 = 0.
-2, -1, 3
Factor -h**4/7 - 45*h**3/7 - 569*h**2/7 - 201*h - 126.
-(h + 1)*(h + 2)*(h + 21)**2/7
Suppose -2*c**3/13 - 20*c**2/13 + 8*c - 112/13 = 0. Calculate c.
-14, 2
Factor -2*o**3 + 10*o**2 + 92*o + 80.
-2*(o - 10)*(o + 1)*(o + 4)
Factor -7*v**3 + 57*v**2 + 55*v - 9.
-(v - 9)*(v + 1)*(7*v - 1)
Factor q**2/5 - 4*q/5 - 32/5.
(q - 8)*(q + 4)/5
Factor -x**3 + 291*x**2 - 579*x + 289.
-(x - 289)*(x - 1)**2
Factor -14*q**2/5 + 190*q + 136/5.
-2*(q - 68)*(7*q + 1)/5
Factor 2*n**3 + 12*n**2 - 32*n.
2*n*(n - 2)*(n + 8)
Determine p, given that -2*p**5 - 4*p**4 + 12*p**3 + 16*p**2 - 10*p - 12 = 0.
-3, -1, 1, 2
Let h**5/3 - 4*h**4/3 - 26*h**3/3 + 32*h**2/3 + 25*h/3 - 28/3 = 0. What is h?
-4, -1, 1, 7
Factor i**3/3 - 4*i**2/3 - 7*i/3 + 10/3.
(i - 5)*(i - 1)*(i + 2)/3
Factor 2*b**2 + 124*b - 256.
2*(b - 2)*(b + 64)
Factor -2*s**3/7 + 34*s**2/7 - 60*s/7.
-2*s*(s - 15)*(s - 2)/7
Factor 6*t**3 - 3285*t**2/2 + 112203*t + 56307/2.
3*(t - 137)**2*(4*t + 1)/2
Factor 4*b**2/3 + 128*b + 3072.
4*(b + 48)**2/3
What is s in 5*s**4 - 10*s**3 - 55*s**2 + 60*s + 180 = 0?
-2, 3
Find k such that 162*k**5 - 468*k**4 + 865*k**3/2 - 219*k**2/2 - 33*k/2 - 1/2 = 0.
-1/18, 1
Determine f so that -6*f**2 - 281*f + 336 = 0.
-48, 7/6
Suppose -2*i**4/11 + 6*i**3/11 + 24*i**2/11 - 40*i/11 - 96/11 = 0. What is i?
-2, 3, 4
Solve -2*v**4 - 54*v**3/11 + 58*v**2/11 + 54*v/11 - 36/11 = 0.
-3, -1, 6/11, 1
Let -5*a**5 - 625*a**4 + 15*a**3 + 1865*a**2 - 1250*a = 0. What is a?
-125, -2, 0, 1
Factor -z**2/6 - 11*z.
-z*(z + 66)/6
Factor 3*l**2 + 210*l + 3675.
3*(l + 35)**2
Solve -100*c**5 + 495*c**4 = 0.
0, 99/20
Factor -o**3/5 - 10*o**2 + 157*o/5 - 106/5.
-(o - 2)*(o - 1)*(o + 53)/5
Find d, given that -5*d**3 - 35*d**2 + 50*d + 80 = 0.
-8, -1, 2
Solve 4*b**4 + 10*b**3 - 22*b**2 - 40*b + 24 = 0.
-3, -2, 1/2, 2
Factor 4*w**3 + 480*w**2 + 19200*w + 256000.
4*(w + 40)**3
Let -4*h**2 - 604*h - 1192 = 0. Calculate h.
-149, -2
Find a such that -2*a**2/3 - 7028*a - 18522294 = 0.
-5271
Factor -c**4/9 + 38*c**3/9 - 44*c**2 + 72*c.
-c*(c - 18)**2*(c - 2)/9
Suppose 5*q**5 - 5*q**4 - 25*q**3 + 25*q**2 + 20*q - 20 = 0. What is q?
-2, -1, 1, 2
Solve -h**5/3 + 23*h**4/3 + 53*h**3/3 - 71*h**2/3 - 104*h/3 + 100/3 = 0 for h.
-2, 1, 25
Let -28*t**2/5 - 484*t/5 - 136/5 = 0. What is t?
-17, -2/7
Factor -u**3 - u**2 + 12*u.
-u*(u - 3)*(u + 4)
Let u**2/3 + 74*u/3 - 152/3 = 0. Calculate u.
-76, 2
Find h, given that 12*h**2 - 68*h + 80 = 0.
5/3, 4
Factor -5*v**3/2 + 245*v**2.
-5*v**2*(v - 98)/2
Solve -3*b**2 + 321*b - 2100 = 0.
7, 100
Find n such that -n**4/2 - 2*n**3 + 21*n**2/2 + 52*n + 40 = 0.
-4, -1, 5
Factor -3*q**3/2 + 21*q**2 - 105*q/2 + 33.
-3*(q - 11)*(q - 2)*(q - 1)/2
Factor -p**4 + 2*p**3.
-p**3*(p - 2)
Determine x so that 35*x**4 - 2*x**3 - 1217*x**2/5 - 924*x/5 - 36 = 0.
-15/7, -2/5, 3
Suppose -9*f**3 + 1626*f**2 - 1081*f + 180 = 0. Calculate f.
1/3, 180
Factor 3*g**5 - 27*g**4 + 81*g**3 - 93*g**2 + 36*g.
3*g*(g - 4)*(g - 3)*(g - 1)**2
Suppose 897*v**2 + 891*v - 6 = 0. Calculate v.
-1, 2/299
Let -2*c**4/9 + 4*c**3/3 - 22*c**2/9 + 4*c/3 = 0. Calculate c.
0, 1, 2, 3
Determine r so that -2*r**5/11 + 4*r**4/11 + 14*r**3/11 + 8*r**2/11 = 0.
-1, 0, 4
Solve q**2 - 1 = 0 for q.
-1, 1
Factor -2*n**3 + 14*n - 12.
-2*(n - 2)*(n - 1)*(n + 3)
Suppose -j**4 - 30*j**3 - 57*j**2 - 28*j = 0. Calculate j.
-28, -1, 0
Find z, given that -3*z**2 + 678*z - 38307 = 0.
113
Determine x, given that -2*x**3/9 - 20*x**2/9 + 16*x/3 = 0.
-12, 0, 2
Factor -2*b**4/7 + 2*b**3 - 20*b**2/7.
-2*b**2*(b - 5)*(b - 2)/7
Suppose 4*r**2 + 56*r = 0. What is r?
-14, 0
Factor -q**3 - 21*q**2 - 20*q.
-q*(q + 1)*(q + 20)
Suppose -28*h**4/3 + 2*h**3/3 = 0. What is h?
0,