82*n**3/15 - 764*n**2/15 - 104*n/15 + 112/15 = 0.
-14, -2, -1, 2/7
Factor -2*m**2/11 + 152*m - 31768.
-2*(m - 418)**2/11
Suppose -4*x**2 - 16*x - 12 = 0. What is x?
-3, -1
Factor -j**5/9 - 11*j**4/9 - 7*j**3/9 + 35*j**2/9 + 52*j/9 + 20/9.
-(j - 2)*(j + 1)**3*(j + 10)/9
Suppose 2*o**2 + 788*o + 77618 = 0. What is o?
-197
Factor -2*b**4 - 42*b**3 - 112*b**2 - 72*b.
-2*b*(b + 1)*(b + 2)*(b + 18)
What is z in 2*z**5/9 - 10*z**4/3 - 76*z**3/9 + 44*z**2/3 + 74*z/9 - 34/3 = 0?
-3, -1, 1, 17
Suppose -z**3/6 + 1675*z**2/2 - 2805625*z/2 + 4699421875/6 = 0. What is z?
1675
Factor -36*w**3 + 273*w**2 - 150*w + 21.
-3*(w - 7)*(3*w - 1)*(4*w - 1)
Solve 2*x**4/3 + 46*x**3/3 + 394*x**2/3 + 1490*x/3 + 700 = 0.
-7, -6, -5
Suppose -2*l**4/11 + 20*l**3/11 + 56*l**2/11 - 80*l/11 - 192/11 = 0. Calculate l.
-2, 2, 12
Solve -5*u**5 + 25*u**4 - 45*u**3 + 35*u**2 - 10*u = 0.
0, 1, 2
Suppose -c**5/3 + c**3/3 = 0. Calculate c.
-1, 0, 1
Factor 2*w**3 + 36*w**2 + 138*w + 104.
2*(w + 1)*(w + 4)*(w + 13)
Solve -p**4/3 - 28*p**3 + 86*p**2 - 260*p/3 + 29 = 0.
-87, 1
Determine o so that -2*o**2 + 6688*o - 5591168 = 0.
1672
Solve 2*k**3/11 + 100*k**2/11 + 26*k + 188/11 = 0 for k.
-47, -2, -1
Solve n**5/5 + 5*n**4 + 104*n**3/5 + 16*n**2 = 0.
-20, -4, -1, 0
Factor -n**3/4 - n**2/2 + 39*n/4 - 18.
-(n - 3)**2*(n + 8)/4
Find t, given that 3*t**5 - 415*t**4 + 40702*t**3/3 + 163658*t**2/3 + 95353*t/3 + 5041 = 0.
-3, -1/3, 71
Solve j**3/2 + j**2/2 - 5*j/2 + 3/2 = 0 for j.
-3, 1
Find n such that 4*n**2 - 204*n = 0.
0, 51
Solve -t**5/5 + 11*t**4/5 - 43*t**3/5 + 69*t**2/5 - 36*t/5 = 0 for t.
0, 1, 3, 4
Determine g so that 11*g**5/8 + 35*g**4/4 + 145*g**3/8 + 55*g**2/4 + 3*g = 0.
-3, -2, -1, -4/11, 0
Solve n**2/3 - 40*n/3 - 176/3 = 0 for n.
-4, 44
Factor 3*s**4/4 - 3*s**2/4.
3*s**2*(s - 1)*(s + 1)/4
What is h in 3*h**2 - 12*h = 0?
0, 4
Factor -4*q**2 + 144.
-4*(q - 6)*(q + 6)
Suppose 2*r**2 + 142*r + 140 = 0. What is r?
-70, -1
Factor -2*c**4 - 10*c**3 - 6*c**2 + 10*c + 8.
-2*(c - 1)*(c + 1)**2*(c + 4)
Determine x so that -5*x**2 - 12100*x = 0.
-2420, 0
Let -5*r**5 + 170*r**4 - 160*r**3 - 170*r**2 + 165*r = 0. What is r?
-1, 0, 1, 33
Solve 4*f**2 - 112*f = 0.
0, 28
Factor k**3/7 - 3*k**2/7 - k/7 + 3/7.
(k - 3)*(k - 1)*(k + 1)/7
Determine k so that -5*k**4 - 20*k**3 + 30*k**2 + 20*k - 25 = 0.
-5, -1, 1
Determine j so that -207*j**5/2 - 79*j**4/4 + 14*j**3 - j**2 = 0.
-1/2, 0, 2/23, 2/9
Solve -4*c**4 + 692*c**3 - 1368*c**2 = 0.
0, 2, 171
Let 5*v**3 + 735*v**2 + 36015*v + 588245 = 0. What is v?
-49
Solve 5*c**3 + 275*c**2 - 565*c + 285 = 0 for c.
-57, 1
Suppose -8*y**4 - 446*y**3 + 568*y**2 - 114*y = 0. What is y?
-57, 0, 1/4, 1
Find g such that -g**3 - 9*g**2 + 106*g - 96 = 0.
-16, 1, 6
Factor -f**4 + 12*f**3 - 54*f**2 + 108*f - 81.
-(f - 3)**4
Determine s so that 2197*s**4 - 374504*s**3 + 172536*s**2 - 26528*s + 1360 = 0.
2/13, 170
Determine c so that 4*c**5 - 28*c**4 + 12*c**3 + 92*c**2 - 128*c + 48 = 0.
-2, 1, 6
Determine k so that -5*k**3 - 5245*k**2 + 5260*k + 10500 = 0.
-1050, -1, 2
What is d in d**5/4 - 4*d**4 + 51*d**3/4 - 8*d**2 - 13*d + 12 = 0?
-1, 1, 2, 12
Factor -5*a**2 + 55*a + 60.
-5*(a - 12)*(a + 1)
Factor -p**4/5 - 19*p**3/5 - 73*p**2/5 - 33*p/5 + 126/5.
-(p - 1)*(p + 3)**2*(p + 14)/5
Factor u**3 - 9*u**2 - 40*u + 48.
(u - 12)*(u - 1)*(u + 4)
Find d, given that -16*d**3 - 1028*d**2 - 16640*d - 4096 = 0.
-32, -1/4
Let 54*k**4 - 330*k**3 - 4*k**2 + 232*k + 48 = 0. Calculate k.
-2/3, -2/9, 1, 6
Let 2*w**3/7 + 12*w**2/7 + 18*w/7 = 0. What is w?
-3, 0
Suppose -2*a**2 - 14*a + 60 = 0. Calculate a.
-10, 3
Find w such that -w**3/9 - w**2/3 + 10*w/9 = 0.
-5, 0, 2
Factor -2*w**3/5 + 22*w**2/5.
-2*w**2*(w - 11)/5
Determine s so that 24*s**4 - 68*s**3 + 56*s**2 - 12*s = 0.
0, 1/3, 1, 3/2
Solve 2*g**5/3 + 2*g**4/3 - 2*g**3 - 2*g**2/3 + 4*g/3 = 0 for g.
-2, -1, 0, 1
Factor 2*x**3 - 46*x**2 - 100*x.
2*x*(x - 25)*(x + 2)
Find t, given that -2*t**5 - 8*t**4 - 12*t**3 - 8*t**2 - 2*t = 0.
-1, 0
Suppose -2*g**4/7 - 12*g**3/7 + 30*g**2/7 - 16*g/7 = 0. Calculate g.
-8, 0, 1
Factor -3*m**3 - 177*m**2 - 669*m - 495.
-3*(m + 1)*(m + 3)*(m + 55)
Factor 36*p**4/7 + 12*p**3 + 25*p**2/7 + 2*p/7.
p*(p + 2)*(6*p + 1)**2/7
Factor 12*w**3 + 136*w**2 + 36*w - 88.
4*(w + 1)*(w + 11)*(3*w - 2)
Determine u, given that 2*u**3/3 - 158*u**2/3 + 52*u = 0.
0, 1, 78
What is a in 6*a**5/7 + 36*a**4/7 - 384*a**3/7 + 612*a**2/7 + 54*a - 648/7 = 0?
-12, -1, 1, 3
Let 4*s**4 + 40*s**3 + 128*s**2 + 128*s = 0. What is s?
-4, -2, 0
Factor -98*a**3/15 + 224*a**2/15 + 26*a - 60.
-2*(a + 2)*(7*a - 15)**2/15
Factor 5*i**4 - 55*i**3 - 195*i**2 - 205*i - 70.
5*(i - 14)*(i + 1)**3
Solve -36*h**5 - 302*h**4 - 398*h**3 + 354*h**2 + 434*h - 52 = 0 for h.
-13/2, -2, -1, 1/9, 1
Factor -j**3 + 3318*j**2 - 2752281*j.
-j*(j - 1659)**2
Suppose 2*p**5/9 + 16*p**4/9 + 8*p**3/9 - 52*p**2/9 - 74*p/9 - 28/9 = 0. What is p?
-7, -1, 2
Find r, given that 12*r**3 + 153*r**2 - 48*r - 117 = 0.
-13, -3/4, 1
Factor -6*j**3/11 + 136*j**2/11 - 74*j + 44.
-2*(j - 11)**2*(3*j - 2)/11
Find z such that 5*z**4 - 575*z**3 + 22230*z**2 - 296020*z + 274360 = 0.
1, 38
What is u in -u**4/6 - 5*u**3/6 + 5*u**2/6 + 15*u/2 + 6 = 0?
-4, -3, -1, 3
Factor -u**2/3 - 26*u/3 - 55.
-(u + 11)*(u + 15)/3
Factor -w**3/5 - 543*w**2/5 - 98283*w/5 - 5929741/5.
-(w + 181)**3/5
Factor -4*j**2 - 80*j - 144.
-4*(j + 2)*(j + 18)
Factor -n**2 - 154*n - 5929.
-(n + 77)**2
Solve -3*v**4 + 6*v**3 + 12*v**2 - 24*v = 0.
-2, 0, 2
Factor k**3/6 + 17*k**2/2 + 325*k/3 + 100.
(k + 1)*(k + 20)*(k + 30)/6
Factor 4*t**2 + 7128*t + 3175524.
4*(t + 891)**2
Factor -x**3/2 + 3*x**2/2.
-x**2*(x - 3)/2
Let m**5 - 3*m**4 - 49*m**3 + 151*m**2 - 196 = 0. What is m?
-7, -1, 2, 7
Let 3*r**3/4 - 231*r**2/2 + 1365*r/4 - 453/2 = 0. Calculate r.
1, 2, 151
Let 8*s**4/9 - 188*s**3/9 - 748*s**2/9 - 76*s/3 + 36 = 0. Calculate s.
-3, -1, 1/2, 27
Find o such that -5*o**4 + 40*o**3 + 565*o**2 - 600*o = 0.
-8, 0, 1, 15
Factor 4*y**5 - 144*y**4 - 304*y**3.
4*y**3*(y - 38)*(y + 2)
What is p in 3906250*p**5 + 3343750*p**4 - 535500*p**3 + 26568*p**2 - 432*p = 0?
-1, 0, 6/125
Factor -2*u**4/9 - 4*u**3/3 - 2*u**2/3 + 20*u/9.
-2*u*(u - 1)*(u + 2)*(u + 5)/9
Determine f, given that 2*f**5/5 + 2*f**4 - 74*f**3/5 - 2*f**2 + 72*f/5 = 0.
-9, -1, 0, 1, 4
Find p such that 2*p**5/3 - 10*p**4 - 44*p**3/3 + 1220*p**2/3 + 814*p + 1210/3 = 0.
-5, -1, 11
Let -2*s**4/3 - 88*s**3 + 546*s**2 - 828*s = 0. What is s?
-138, 0, 3
Factor -3*b**2 + 39*b - 120.
-3*(b - 8)*(b - 5)
Factor -10*k**3/23 - 2*k**2 + 56*k/23.
-2*k*(k - 1)*(5*k + 28)/23
Suppose -12*u**3 - 800*u**2 - 2064*u - 1024 = 0. Calculate u.
-64, -2, -2/3
Let -4*a**3 - 1000*a**2 - 7808*a - 15488 = 0. Calculate a.
-242, -4
Factor k**4/9 + 7*k**3/9 + 2*k**2/3 - 32*k/9 - 32/9.
(k - 2)*(k + 1)*(k + 4)**2/9
Factor 2*m**2 - 2208*m/5 - 442/5.
2*(m - 221)*(5*m + 1)/5
Determine n so that -7*n**2 + 30*n + 232 = 0.
-4, 58/7
Factor -4*o**3 + 48*o**2 - 116*o + 72.
-4*(o - 9)*(o - 2)*(o - 1)
Determine n so that 11*n**3 + 83*n**2/4 - 5*n/2 = 0.
-2, 0, 5/44
Factor -8*n**5 + 12*n**4 - 4*n**2.
-4*n**2*(n - 1)**2*(2*n + 1)
Solve m**3/3 - 312*m**2 + 73008*m = 0 for m.
0, 468
Factor -c**3 - 8*c**2 - 20*c - 16.
-(c + 2)**2*(c + 4)
Factor n**2/7 - 15*n.
n*(n - 105)/7
Find y, given that 25*y**4/3 - 90*y**3 + 203*y**2 - 392*y/3 = 0.
0, 7/5, 8
Factor c**3/5 + 61*c**2/5 - c/5 - 61/5.
(c - 1)*(c + 1)*(c + 61)/5
Factor -4205*o**3 + 7105*o**2 + 3705*o - 7605.
-5*(o + 1)*(29*o - 39)**2
Factor -2*d**2/7 + 18*d/7 + 72/7.
-2*(d - 12)*(d + 3)/7
Suppose -2*o**5 - 10*o**4 + 44*o**3 - 32*o**2 = 0. What is o?
-8, 0, 1, 2
Factor 3*c**2 - 16902*c + 23806467.
3*(c - 2817)**2
Factor 3*c**2/2 + 114*c + 2166.
3*(c + 38)**2/2
Suppose -2*d**5 + 79*d**4/2 + 16*d**3 - 245*d**2/2 + 49*d + 20 = 0. Calculate d.
-2, -1/4, 1, 20
Determine y, given that 2*y**3/9 - 6*y**2 - 8*y/9 + 24 = 0.
-2, 2, 27
Factor -25*s**4 - 55*s**3 + 156*s**2 - 92*s + 16.
-(s - 1)*(s + 4)*(5*s - 2)**2
Let -8*o**3 + 156*o**2 - 76*o = 0. Calculate o.
0, 1/2, 19
Factor 4*c**2/7 - 656*c/7 + 26896/7.
4*(c - 82)**2/7
Let 4*b**5 + 4*b**4 - 20*b**3 + 12*b**2 = 0. What is b?
-3, 0, 1
Suppose 6*x**2 - 64*x + 40 = 0. Calculate x.
2/3, 10
Determine g so that -4*g**3 - 1551*g**2 + 1944*g - 389 = 0.
-389, 1/4, 1
Factor 4*k**2/7 - 356*k/7 + 352/7.
4*(k - 88)*(k - 1)/7
Solve -5*k*