 57*l**4 - 9389*l**3/3 + 144137*l**2/3 + 382910*l + 1643032/3.
-(l - 59)**3*(l + 2)*(l + 4)/3
Find u, given that 2*u**5/13 + 328*u**4/13 + 13116*u**3/13 - 27224*u**2/13 + 13778*u/13 = 0.
-83, 0, 1
Factor 522*a**2/7 + 478*a/7 - 44/7.
2*(a + 1)*(261*a - 22)/7
Let r**4 + 16*r**3 - 77*r**2 + 60*r = 0. Calculate r.
-20, 0, 1, 3
Factor 8*t**2 + 284*t + 140.
4*(t + 35)*(2*t + 1)
Factor -2*w**3/3 + 64*w**2/3 + 94*w + 72.
-2*(w - 36)*(w + 1)*(w + 3)/3
Find j such that j**2/7 - 3*j/7 - 990/7 = 0.
-30, 33
Factor 839523*g**3/5 - 5870313*g**2/5 - 44424*g/5 - 84/5.
3*(g - 7)*(529*g + 2)**2/5
Determine h, given that -h**2 - 23*h - 60 = 0.
-20, -3
Factor l**3/6 - 2*l**2/3 + 5*l/6 - 1/3.
(l - 2)*(l - 1)**2/6
Suppose -3*t**2/5 - 27*t/5 + 156/5 = 0. What is t?
-13, 4
Factor 4*p**2 + 1872*p.
4*p*(p + 468)
Find q such that -q**4/5 - 22*q**3/5 - 97*q**2/5 + 264*q/5 - 144/5 = 0.
-12, 1
Suppose -4*y**2 - 124*y + 128 = 0. Calculate y.
-32, 1
Determine u so that -u**3/4 + u**2/4 + 11*u/2 - 10 = 0.
-5, 2, 4
Factor -2*g**3/9 + 112*g**2/9 + 152*g/9 - 57760/9.
-2*(g - 38)**2*(g + 20)/9
Factor -3*i**2 - 396*i + 1215.
-3*(i - 3)*(i + 135)
Factor 3*h**2/2 + 492*h + 40344.
3*(h + 164)**2/2
Find x such that x**3/9 - x**2 + 8*x/3 - 20/9 = 0.
2, 5
Factor b**5 + 31*b**4 + 69*b**3 - 403*b**2 + 470*b - 168.
(b - 1)**3*(b + 6)*(b + 28)
Find j, given that 3*j**4/5 + 57*j**3/5 + 234*j**2/5 - 84*j - 120 = 0.
-10, -1, 2
Factor -b**3/4 + 1009*b**2/4 - 254015*b/4 - 255025/4.
-(b - 505)**2*(b + 1)/4
Factor 5*a**2 + 435*a.
5*a*(a + 87)
What is p in -2*p**4/9 - 20*p**3/9 + 218*p**2/9 - 340*p/9 = 0?
-17, 0, 2, 5
Find r, given that -10*r**4 + 5*r**3/2 + 30*r**2 - 55*r/2 + 5 = 0.
-2, 1/4, 1
Suppose h**4 - h**3 - 2*h**2 = 0. Calculate h.
-1, 0, 2
Solve -n**3/11 + 9*n**2/11 - 18*n/11 = 0.
0, 3, 6
Suppose 5*w**4 - 120*w**3 + 1070*w**2 - 4200*w + 6125 = 0. Calculate w.
5, 7
Determine c so that 5*c**2/2 + 115*c/2 - 60 = 0.
-24, 1
What is k in -15*k**4 + 295*k**3 + 1105*k**2 + 1025*k + 230 = 0?
-2, -1, -1/3, 23
Factor -3*q**2 - 1428*q - 1425.
-3*(q + 1)*(q + 475)
Factor -6*n**2 + 134*n - 44.
-2*(n - 22)*(3*n - 1)
Let -4*s**5 + 4*s**4 + 2036*s**3 + 19596*s**2 + 33120*s + 15552 = 0. Calculate s.
-12, -1, 27
Factor 3*n**2/5 - 183*n/5 - 378/5.
3*(n - 63)*(n + 2)/5
Determine v, given that -2*v**5/5 + 8*v**4/5 - 4*v**3/5 - 8*v**2/5 + 6*v/5 = 0.
-1, 0, 1, 3
Factor 2*m**2/5 - 36*m + 522/5.
2*(m - 87)*(m - 3)/5
Solve 4*y**2 - 640*y + 25600 = 0.
80
Determine b, given that 2*b**5/15 - 16*b**4/5 + 132*b**3/5 - 432*b**2/5 + 486*b/5 = 0.
0, 3, 9
Factor -5*r**2 - 45*r + 180.
-5*(r - 3)*(r + 12)
Factor 3*v**2 - 57*v + 234.
3*(v - 13)*(v - 6)
Let -2*g**2/3 - 16*g/3 - 8 = 0. What is g?
-6, -2
Factor 10*f**3 + 184*f**2 + 882*f + 324.
2*(f + 9)**2*(5*f + 2)
Suppose -4*l**3/5 + 2846*l**2/5 + 10004*l/5 + 858 = 0. What is l?
-3, -1/2, 715
Let l**5 - 18*l**4 + 17*l**3 = 0. What is l?
0, 1, 17
Solve -5*p**3 - 125*p**2 - 595*p - 475 = 0.
-19, -5, -1
Solve 3*s**4 + 15*s**3 - 162*s**2 - 60*s + 600 = 0.
-10, -2, 2, 5
Suppose -2*q**2/3 - 436*q + 2624/3 = 0. What is q?
-656, 2
Determine x so that -3*x**5 + 348*x**4 - 1656*x**3 - 1050*x**2 + 5691*x - 3330 = 0.
-2, 1, 5, 111
Factor -9*m**3/2 + 48*m**2 - 104*m + 64.
-(m - 8)*(3*m - 4)**2/2
Factor 3*q**3/2 - 75*q**2 + 282*q - 276.
3*(q - 46)*(q - 2)**2/2
Factor -4*i**2 + 1256*i - 98596.
-4*(i - 157)**2
Factor -4*z**2/3 + 320*z + 3904/3.
-4*(z - 244)*(z + 4)/3
Determine v so that 2*v**2 + 40*v - 42 = 0.
-21, 1
Factor -3*l**2 - 132*l.
-3*l*(l + 44)
Factor 4*t**5 - 8*t**4 - 4*t**3 + 8*t**2.
4*t**2*(t - 2)*(t - 1)*(t + 1)
Determine d, given that 2*d**2/7 - 6*d - 144/7 = 0.
-3, 24
Let 2*u**4/5 - 54*u**3 + 3048*u**2/5 - 11936*u/5 + 15744/5 = 0. What is u?
4, 123
Let 2*n**5/9 + 2*n**4/3 - 14*n**3/9 - 10*n**2/3 + 4*n = 0. What is n?
-3, 0, 1, 2
Factor -2*x**2/11 - 1264*x/11 + 2536/11.
-2*(x - 2)*(x + 634)/11
Determine i so that -4*i**5 + 220*i**4 + 228*i**3 - 220*i**2 - 224*i = 0.
-1, 0, 1, 56
Determine l, given that 101*l**4/5 - 61*l**3 - 2519*l**2/5 - 2071*l/5 + 42/5 = 0.
-3, -1, 2/101, 7
Determine d so that -25*d**5 - 60*d**4 - 46*d**3 - 12*d**2 - d = 0.
-1, -1/5, 0
Factor -2*a**2 + 20*a - 50.
-2*(a - 5)**2
Suppose 2*o**4/3 + 16*o**3 + 364*o**2/3 + 240*o - 378 = 0. Calculate o.
-9, -7, 1
What is w in -2*w**3/3 - 38*w**2 - 220*w/3 = 0?
-55, -2, 0
Factor -4*b**3 + 20*b**2 - 16*b.
-4*b*(b - 4)*(b - 1)
Factor h**5/2 - 45*h**4/2 - 95*h**3 + 15480*h**2 - 164160*h - 179712.
(h - 24)**3*(h + 1)*(h + 26)/2
Factor -2*d**2/5 - 192*d/5.
-2*d*(d + 96)/5
Solve 14*r**5/11 - 18*r**4/11 - 24*r**3/11 + 8*r**2/11 = 0.
-1, 0, 2/7, 2
Factor -n**5/4 - 9*n**4/4 + 16*n**3 - 22*n**2 - 12*n + 28.
-(n - 2)**3*(n + 1)*(n + 14)/4
Factor -o**2 + 225.
-(o - 15)*(o + 15)
Factor -2*s**2 - 156*s + 1958.
-2*(s - 11)*(s + 89)
Factor -4*q**3/13 - 38*q**2/13 - 18*q/13.
-2*q*(q + 9)*(2*q + 1)/13
Factor -3*l**3 + 9*l**2 + 12*l.
-3*l*(l - 4)*(l + 1)
What is b in -4*b**5 + 108*b**4 - 380*b**3 + 260*b**2 + 384*b - 368 = 0?
-1, 1, 2, 23
Solve 2*v**5 + 28*v**4 + 152*v**3 + 400*v**2 + 512*v + 256 = 0 for v.
-4, -2
Find p such that 3*p**4/7 + 24*p**3/7 - 30*p**2/7 - 24*p/7 + 27/7 = 0.
-9, -1, 1
Factor -o**5 - 10*o**4 + 23*o**3 - 12*o**2.
-o**2*(o - 1)**2*(o + 12)
Solve -q**3/6 - q**2/3 + 13*q/2 - 12 = 0.
-8, 3
Factor -5*t**2/4 - 195*t/2 - 7605/4.
-5*(t + 39)**2/4
Suppose -3*c**5 - 18*c**4 - 3*c**3 + 72*c**2 - 48*c = 0. Calculate c.
-4, 0, 1
Factor -4*k**2 + 68*k + 800.
-4*(k - 25)*(k + 8)
Factor 2*r**4/3 - 256*r**3/3 + 1980*r**2 - 16848*r + 49086.
2*(r - 101)*(r - 9)**3/3
Factor 4*y**5/5 + 52*y**4/5 + 144*y**3/5.
4*y**3*(y + 4)*(y + 9)/5
Suppose 4*d**4 - 32*d**3 - 12*d**2 + 104*d - 64 = 0. Calculate d.
-2, 1, 8
Solve a**2/9 - 8*a/9 + 4/3 = 0 for a.
2, 6
Factor m**2/6 - 40*m/3 - 416.
(m - 104)*(m + 24)/6
Factor -x**2 + 2826*x - 1996569.
-(x - 1413)**2
Factor 2*k**2/17 - 114*k/17 + 520/17.
2*(k - 52)*(k - 5)/17
Factor -5*l**4 + 100*l**3 - 530*l**2 + 1020*l - 585.
-5*(l - 13)*(l - 3)**2*(l - 1)
Solve -q**4/2 + 6*q**3 - 37*q**2/2 - 15*q + 100 = 0 for q.
-2, 4, 5
Factor 8*j**5/5 + 196*j**4/5 + 1824*j**3/5 + 7776*j**2/5 + 13824*j/5 + 5184/5.
4*(j + 6)**4*(2*j + 1)/5
Determine y, given that 75*y**4 - 435*y**3 - 138*y**2 + 300*y - 72 = 0.
-1, 2/5, 6
Factor -5*l**3 - 1675*l**2 - 137735*l + 428415.
-5*(l - 3)*(l + 169)**2
What is a in 12*a**5 - 116*a**4 + 448*a**3 - 864*a**2 + 832*a - 320 = 0?
5/3, 2
Let -3*z**4 + 105*z**3 - 297*z**2 + 291*z - 96 = 0. What is z?
1, 32
Determine m, given that -5*m**2 + 4540*m - 1030580 = 0.
454
Find r such that -2*r**3/5 + 4*r**2/5 + 16*r/5 = 0.
-2, 0, 4
Solve 49*r**5/4 - 42*r**4 + 4*r**3 + 81*r**2/2 - 65*r/4 + 3/2 = 0 for r.
-1, 1/7, 2/7, 1, 3
Find g such that 2*g**5/15 + 14*g**4/15 + 12*g**3/5 + 44*g**2/15 + 26*g/15 + 2/5 = 0.
-3, -1
Factor l**2 - 56*l - 305.
(l - 61)*(l + 5)
Solve 20*g**4 - 305*g**3 - 585*g**2 - 175*g + 85 = 0 for g.
-1, 1/4, 17
Factor -3*g**2 + 27*g - 24.
-3*(g - 8)*(g - 1)
Find l such that 15*l**4 + 21*l**3 + 6*l**2 = 0.
-1, -2/5, 0
Solve 2*s**5/7 - 2*s**4 - 80*s**3/7 - 88*s**2/7 = 0 for s.
-2, 0, 11
Let -27*a**5 + 171*a**4 + 672*a**3 - 120*a**2 - 912*a + 432 = 0. Calculate a.
-2, 2/3, 9
Determine z, given that -4*z**3 + 116*z**2 - 220*z + 108 = 0.
1, 27
Factor -3*g**4/7 + 24*g**3/7 + 3*g**2/7 - 24*g/7.
-3*g*(g - 8)*(g - 1)*(g + 1)/7
Suppose -8*w**4/7 - 14*w**3 - 16*w**2/7 + 14*w + 24/7 = 0. What is w?
-12, -1, -1/4, 1
Factor 3*i**4 - 120*i**3 + 909*i**2 - 2292*i + 1860.
3*(i - 31)*(i - 5)*(i - 2)**2
Solve -5*b**3 - 5*b**2 + 5*b + 5 = 0 for b.
-1, 1
What is k in k**3/4 - 175*k**2/4 + 427*k/2 - 170 = 0?
1, 4, 170
Factor -9*u**2 - 59*u + 28.
-(u + 7)*(9*u - 4)
Factor 2*f**3/3 - 8*f**2 + 58*f/3 - 12.
2*(f - 9)*(f - 2)*(f - 1)/3
Factor 2*b**4/3 + 9*b**3 + 4*b**2/3 - 219*b + 108.
(b - 4)*(b + 9)**2*(2*b - 1)/3
Factor -w**3/5 - 4*w**2/5 + w/5 + 4/5.
-(w - 1)*(w + 1)*(w + 4)/5
Factor 65*g**2 + 645*g + 1350.
5*(g + 3)*(13*g + 90)
Factor -2*v**3/3 - 50*v**2/3 - 286*v/3 + 338/3.
-2*(v - 1)*(v + 13)**2/3
Find v such that 81*v**2/7 + 4299*v/7 + 318/7 = 0.
-53, -2/27
Solve 4*l**3 + 24*l**2 + 36*l + 16 = 0 for l.
-4, -1
Factor p**4 + 79*p**3/4 + 31*p**2 - 9*p.
p*(p + 2)*(p + 18)*(4*p - 1)/4
What is y in -14*y**2/9 - 10*y/9 + 4/9 = 0?
-1, 2/7
Factor 2*l**2 - 48*l + 190.
2*(l - 19)*(l - 5)
Factor -h**3/