2*w**2/13 + 8*w/13 - 8/13.
-2*(w - 2)**2/13
Factor -w**4/8 + w**3/2 + 11*w**2/8 + 3*w/4.
-w*(w - 6)*(w + 1)**2/8
Suppose t**5/5 + 68*t**4/5 + 1732*t**3/5 + 20576*t**2/5 + 115456*t/5 + 247808/5 = 0. What is t?
-22, -8
Factor -4*a**5 - 436*a**4 - 12096*a**3 - 11664*a**2.
-4*a**2*(a + 1)*(a + 54)**2
Suppose g**3/3 + 209*g**2 + 32865*g + 97969/3 = 0. What is g?
-313, -1
Factor -4*r**2/3 - 52*r - 296/3.
-4*(r + 2)*(r + 37)/3
Factor -169*n**2/3 + 910*n - 3675.
-(13*n - 105)**2/3
Let 5*y**4 + 90*y**3 - 435*y**2 + 140*y + 660 = 0. What is y?
-22, -1, 2, 3
Find z, given that 4*z**2/7 - 16*z/7 - 20/7 = 0.
-1, 5
Factor r**2/3 + 53*r - 160/3.
(r - 1)*(r + 160)/3
Suppose 2*w**3 - 3*w**2/2 - w/2 = 0. Calculate w.
-1/4, 0, 1
Factor 5*b**3/2 + 305*b**2/6 - 90*b + 110/3.
5*(b - 1)*(b + 22)*(3*b - 2)/6
Factor -4*a**2 - 1828*a + 1832.
-4*(a - 1)*(a + 458)
Factor y**3/4 - 5*y**2/2 + 29*y/4 - 5.
(y - 5)*(y - 4)*(y - 1)/4
Factor 4*j**2/7 + 8*j/7 - 12/7.
4*(j - 1)*(j + 3)/7
Factor -x**4/2 - 4*x**3 - 15*x**2/2 + 4*x + 8.
-(x - 1)*(x + 1)*(x + 4)**2/2
Find v such that 2*v**5 - 215*v**4/2 + 1317*v**3 + 3472*v**2 + 784*v = 0.
-2, -1/4, 0, 28
Find a, given that -2*a**2/11 - 8*a - 86/11 = 0.
-43, -1
Factor 2*u**2/5 + 26*u/5 - 12.
2*(u - 2)*(u + 15)/5
Factor 5*v**4 + 3355*v**3 + 749280*v**2 + 55444480*v - 56197120.
5*(v - 1)*(v + 224)**3
Determine h so that h**2/10 + 134*h/5 - 269/10 = 0.
-269, 1
Factor -h**2/6 - 217*h/6 + 73.
-(h - 2)*(h + 219)/6
Factor -n**3/4 - 21*n**2/4 - 25*n/2 + 18.
-(n - 1)*(n + 4)*(n + 18)/4
Factor 5*r**3/9 - 77*r**2/9 - 80*r/3 + 12.
(r - 18)*(r + 3)*(5*r - 2)/9
What is r in 2*r**4/7 - 74*r**3/7 + 272*r**2/7 - 264*r/7 = 0?
0, 2, 33
Let 2*g**2 - 138*g + 268 = 0. What is g?
2, 67
Factor 7*v**3/4 - 79*v**2/4 - 269*v/2 + 40.
(v - 16)*(v + 5)*(7*v - 2)/4
Factor -5*z**2 + 20*z - 15.
-5*(z - 3)*(z - 1)
Factor c**5 + 49*c**4 - 554*c**3 + 2068*c**2 - 3272*c + 1888.
(c - 4)*(c - 2)**3*(c + 59)
Let 11500*x**4 + 18440*x**3 - 9136*x**2 - 32*x = 0. Calculate x.
-2, -2/575, 0, 2/5
Factor 5*o**2 + 14*o + 9.
(o + 1)*(5*o + 9)
Factor 4*j**3 + 516*j**2 + 18720*j + 208208.
4*(j + 26)**2*(j + 77)
Factor 5*q**4 + 837*q**3 + 34774*q**2 - 21504*q - 14112.
(q - 1)*(q + 84)**2*(5*q + 2)
Determine n so that 5*n**2 - 70*n + 240 = 0.
6, 8
Solve -4*m**3 - 11152*m**2 - 7772944*m = 0.
-1394, 0
Factor 5*f**4 + 2170*f**3 + 328800*f**2 + 19332070*f + 295705595.
5*(f + 23)*(f + 137)**3
Solve -3*r**3/7 - 93*r**2 - 34989*r/7 + 35643/7 = 0 for r.
-109, 1
Determine l, given that -3*l**4/2 + 27*l**3/2 + 81*l**2/2 - 147*l/2 - 99 = 0.
-3, -1, 2, 11
What is q in -2*q**2 - 604*q - 45602 = 0?
-151
Determine v, given that -v**4 + 4*v**3 + 3*v**2 - 14*v + 8 = 0.
-2, 1, 4
Factor -2*p**4/5 + 24*p**3/5 + 56*p**2/5.
-2*p**2*(p - 14)*(p + 2)/5
Find w, given that -w**4 + 228*w**3 - 674*w**2 - 228*w + 675 = 0.
-1, 1, 3, 225
Determine a so that -33*a**4 - 600*a**3 - 3045*a**2 - 4890*a - 792 = 0.
-11, -4, -3, -2/11
Let 2*n**5/15 - 2*n**4/3 - 22*n**3/15 + 22*n**2/5 - 12*n/5 = 0. Calculate n.
-3, 0, 1, 6
Suppose 36*u**4/7 + 260*u**3/7 - 232*u**2/7 - 64*u/7 = 0. What is u?
-8, -2/9, 0, 1
Find w such that -3*w**4 - 6*w**3 + 87*w**2 - 126*w = 0.
-7, 0, 2, 3
Factor 3*p**3 - 24*p**2 - 84*p + 240.
3*(p - 10)*(p - 2)*(p + 4)
Determine f so that -f**2 + 7*f = 0.
0, 7
Let -16*g**4 - 16*g**3 + g**2 + g = 0. What is g?
-1, -1/4, 0, 1/4
Factor 5*x**5 + 35*x**4 + 20*x**3 - 60*x**2.
5*x**2*(x - 1)*(x + 2)*(x + 6)
Determine k, given that k**5 - 11*k**4 + 7*k**3 + 31*k**2 - 8*k - 20 = 0.
-1, 1, 2, 10
Find s, given that s**4/8 - 173*s**3/2 + 60203*s**2/4 - 59685*s/2 + 119025/8 = 0.
1, 345
Factor -3*n**3/5 + 102*n**2/5 - 792*n/5.
-3*n*(n - 22)*(n - 12)/5
Let 2*g**2 + 6*g - 8 = 0. Calculate g.
-4, 1
Factor 5*x**4/3 + 145*x**3/3 - 305*x**2/3 + 155*x/3.
5*x*(x - 1)**2*(x + 31)/3
Determine r so that -4*r**4 + 36*r**3 + 4*r**2 - 324*r + 288 = 0.
-3, 1, 3, 8
Factor -2*u**4 + 10*u**3 - 8*u**2.
-2*u**2*(u - 4)*(u - 1)
Factor 10*d**2 - 21225*d - 10615.
5*(d - 2123)*(2*d + 1)
Factor -g**2 - 69*g + 142.
-(g - 2)*(g + 71)
Factor -3380*w**4 - 141180*w**3 - 1457865*w**2 + 342090*w - 19845.
-5*(w + 21)**2*(26*w - 3)**2
Find g, given that 2*g**2/3 + 1748*g/3 = 0.
-874, 0
Factor -3*y**2/2 + 87*y/2 + 93.
-3*(y - 31)*(y + 2)/2
Factor -z**2/4 + 8*z - 247/4.
-(z - 19)*(z - 13)/4
Factor 4*n**5 - 12*n**4 - 20*n**3 + 12*n**2 + 16*n.
4*n*(n - 4)*(n - 1)*(n + 1)**2
What is g in -2*g**5/3 + 152*g**4/3 - 3034*g**3/3 + 5476*g**2/3 = 0?
0, 2, 37
Factor 4*n**2 + 15972*n - 15976.
4*(n - 1)*(n + 3994)
Factor -2*l**2 - 510*l - 5368.
-2*(l + 11)*(l + 244)
Factor 2*j**3/5 + 46*j**2/5 + 142*j/5 - 38.
2*(j - 1)*(j + 5)*(j + 19)/5
Factor 2*t**2 + 12*t + 16.
2*(t + 2)*(t + 4)
Let -u**3/2 - 11*u**2/2 + 20*u - 14 = 0. What is u?
-14, 1, 2
Factor 2*a**4/25 - 18*a**3/25 + 6*a**2/5 - 14*a/25.
2*a*(a - 7)*(a - 1)**2/25
Determine j, given that 4*j**5 + 8*j**4 - 20*j**3 - 40*j**2 + 16*j + 32 = 0.
-2, -1, 1, 2
What is i in 3*i**3 - 57*i**2 + 54*i = 0?
0, 1, 18
Factor 2*w**4/11 + 48*w**3/11 + 234*w**2/11 - 676*w/11.
2*w*(w - 2)*(w + 13)**2/11
Find g, given that 5*g**4 - 280*g**3 - 15*g**2 + 830*g + 560 = 0.
-1, 2, 56
Suppose -4*s**2 + 220*s + 2600 = 0. What is s?
-10, 65
Suppose 4*t**3 - 36*t**2 - 4692*t - 49708 = 0. Calculate t.
-17, 43
Suppose -4*k**4 - 24*k**3 + 88*k - 60 = 0. What is k?
-5, -3, 1
Factor -3*m**3/2 - 45*m**2/2 - 102*m - 126.
-3*(m + 2)*(m + 6)*(m + 7)/2
Solve 3*t**4/7 - 411*t**3/7 + 13446*t**2/7 + 6180*t + 4200 = 0 for t.
-2, -1, 70
Suppose 2*k**3 + 790*k**2 + 77616*k - 78408 = 0. What is k?
-198, 1
Factor 2*n**2/5 - 126*n/5 + 472/5.
2*(n - 59)*(n - 4)/5
Suppose -4*p**2/5 - 196*p/5 = 0. Calculate p.
-49, 0
Factor -c**2/6 + 353*c/6.
-c*(c - 353)/6
Factor -2*j**5/3 + 2*j**4 + 4*j**3 - 20*j**2/3 - 14*j - 6.
-2*(j - 3)**2*(j + 1)**3/3
Factor -n**3/10 + 3*n**2/10 - n/5.
-n*(n - 2)*(n - 1)/10
Factor w**3 + 8*w**2 + 15*w.
w*(w + 3)*(w + 5)
Factor 4*p**4 + 28*p**3 - 4*p**2 - 28*p.
4*p*(p - 1)*(p + 1)*(p + 7)
Solve 14*q**5 + 802*q**4 + 13878*q**3 + 65150*q**2 + 17500*q = 0 for q.
-25, -7, -2/7, 0
Determine k so that -2*k**3 - 128*k**2 + 8*k + 512 = 0.
-64, -2, 2
Solve 2*l**3/5 + 14*l**2/5 - 2*l/5 - 14/5 = 0 for l.
-7, -1, 1
Solve z**4/3 + 1672*z**3/3 - 1116*z**2 = 0.
-1674, 0, 2
Let r**3/5 + 32*r**2/5 + 83*r/5 - 116/5 = 0. Calculate r.
-29, -4, 1
What is n in -2*n**5 + 8*n**4 + 22*n**3 - 52*n**2 - 128*n - 64 = 0?
-2, -1, 4
Find g, given that g**3/5 - 18*g**2/5 + 72*g/5 = 0.
0, 6, 12
Factor t**4 + 13*t**3 - 29*t**2 + 15*t.
t*(t - 1)**2*(t + 15)
Solve -4*g**3 + 12*g - 8 = 0.
-2, 1
Factor 4*d**4 - 32*d**3 - 12*d**2 + 104*d - 64.
4*(d - 8)*(d - 1)**2*(d + 2)
Suppose -2*m**5 - 7*m**4 - 4*m**3 + 7*m**2 + 6*m = 0. What is m?
-2, -3/2, -1, 0, 1
Factor -56*u**3 - 222*u**2 - 216*u + 8.
-2*(u + 2)**2*(28*u - 1)
Solve -2*m**3/21 + 2*m**2/21 + 4*m/21 = 0 for m.
-1, 0, 2
Solve 208*s**5 - 20*s**4 - 632*s**3 - 356*s**2 + 64*s + 16 = 0 for s.
-1, -2/13, 1/4, 2
Determine d, given that 2*d**5/7 + 160*d**4/7 - 1048*d**3/7 - 1364*d**2/7 + 1046*d/7 + 172 = 0.
-86, -1, 1, 7
Let -o**2 + 40*o + 41 = 0. Calculate o.
-1, 41
What is k in 2*k**2/7 - 532*k - 3726/7 = 0?
-1, 1863
Factor -s**5/4 + 9*s**4 - 60*s**3 + 112*s**2.
-s**2*(s - 28)*(s - 4)**2/4
Solve v**3/4 - 111*v**2/2 - 2553*v/4 - 1165/2 = 0.
-10, -1, 233
Find o, given that -2*o**2/5 + 6*o + 32/5 = 0.
-1, 16
Solve -u**3/5 - 109*u**2/5 - 3024*u/5 - 2916/5 = 0 for u.
-54, -1
Suppose 15*h**3 - 55*h**2 - 30*h + 40 = 0. Calculate h.
-1, 2/3, 4
Factor -v**5/9 + 7*v**4/9 - 5*v**3/3 + 13*v**2/9 - 4*v/9.
-v*(v - 4)*(v - 1)**3/9
Determine i, given that -2*i**5 + 248*i**4 - 6642*i**3 - 64188*i**2 - 178200*i - 156816 = 0.
-3, -2, 66
Suppose 2*a**4/3 + 514*a**3 + 3076*a**2/3 = 0. What is a?
-769, -2, 0
Determine b, given that -2*b**5/21 - 40*b**4/7 + 500*b**3/21 - 760*b**2/21 + 170*b/7 - 128/21 = 0.
-64, 1
Find x such that 2*x**4/9 + 50*x**3/9 + 286*x**2/9 - 338*x/9 = 0.
-13, 0, 1
Solve -4*l**3 - 44*l**2 + 4*l + 44 = 0.
-11, -1, 1
Factor -3150*d**3/11 + 960*d**2 - 10166*d/11 + 2116/11.
-2*(7*d - 2)*(15*d - 23)**2/11
Let -9*d**4 - 57*d**3 + 126*d**2 + 48*d = 0. Calculate d.
-8, -1/3, 0, 2
Factor -2*m**2/17 + 296*m/17 + 1848/17.
-2*(m - 154)*(m + 6)/17
Suppose j**4/4 - 13*j**3/4 + 15*j**2 - 29*j + 20 = 0. What is j?
2, 4, 5
Factor 3*d**3/4 + 9