*3 - 40*a**2 + 188*a + 528.
-(a - 6)*(a + 2)*(a + 44)
Factor 5*a**3 - 480*a**2 - 5*a + 480.
5*(a - 96)*(a - 1)*(a + 1)
Factor -2*w**4/5 + 2*w**3/5 + 18*w**2/5 + 22*w/5 + 8/5.
-2*(w - 4)*(w + 1)**3/5
Determine l, given that -l**2 - 22*l = 0.
-22, 0
Suppose -5*p**2 + 20*p + 105 = 0. What is p?
-3, 7
Solve -2*m**2 + 160*m - 158 = 0 for m.
1, 79
Factor -g**4/2 - 45*g**3/2 + 533*g**2/2 - 927*g/2 + 220.
-(g - 8)*(g - 1)**2*(g + 55)/2
Suppose -2*l**3/19 + 2*l**2/19 + 130*l/19 - 450/19 = 0. Calculate l.
-9, 5
Factor 11*r**3/7 + 277*r**2/7 + 314*r/7 + 48/7.
(r + 1)*(r + 24)*(11*r + 2)/7
Factor -9*z**2/4 + z/2.
-z*(9*z - 2)/4
Factor u**3/6 + 4*u**2/3 + 10*u/3 + 8/3.
(u + 2)**2*(u + 4)/6
Factor 2*i**5/11 + 252*i**4/11 + 598*i**3 - 85680*i**2/11 + 231200*i/11.
2*i*(i - 5)**2*(i + 68)**2/11
Suppose -5*t**4 - 11770*t**3 - 11760*t**2 + 11770*t + 11765 = 0. What is t?
-2353, -1, 1
Suppose 2*n**3/3 - 2*n**2/3 - 16*n/3 + 8 = 0. What is n?
-3, 2
Factor -c**2/5 + 22*c - 605.
-(c - 55)**2/5
Find h such that -38642*h**2/9 + 19460*h/9 - 2450/9 = 0.
35/139
Determine p, given that 4*p**3 + 1684*p**2 + 3352*p = 0.
-419, -2, 0
Determine a so that -22*a**3/7 + 204*a**2/7 = 0.
0, 102/11
Suppose -t**4/2 + 3*t**3/2 + 2*t**2 = 0. What is t?
-1, 0, 4
Factor -3*i**2 - 606*i + 609.
-3*(i - 1)*(i + 203)
Suppose -147*q**3 - 840*q**2 + 276*q + 144 = 0. What is q?
-6, -2/7, 4/7
Factor -2*d**3/9 - 20*d**2/9.
-2*d**2*(d + 10)/9
Determine v so that -2*v**3/11 - 410*v**2/11 + 412*v/11 = 0.
-206, 0, 1
Solve -15*m**3 + 294*m**2/5 - 276*m/5 - 24/5 = 0.
-2/25, 2
Let -18*p**4 - 4882*p**3 - 329116*p**2 + 260032*p + 73984 = 0. Calculate p.
-136, -2/9, 1
Factor -o**3/8 - 3*o**2/2 - 5*o/2.
-o*(o + 2)*(o + 10)/8
Determine m, given that -m**4 - 42*m**3 - 116*m**2 + 42*m + 117 = 0.
-39, -3, -1, 1
Let -3*v**3/7 - 897*v**2/7 - 255*v - 891/7 = 0. Calculate v.
-297, -1
Factor -2*s**2 - 40*s - 38.
-2*(s + 1)*(s + 19)
Suppose 3*i**3/7 + 183*i**2/7 - 186*i/7 = 0. Calculate i.
-62, 0, 1
Let -r**2/6 - 33*r - 3267/2 = 0. What is r?
-99
Let 2*a**2/7 + 110*a/7 + 108/7 = 0. Calculate a.
-54, -1
Factor -2*s**2/11 + 1740*s/11 - 378450/11.
-2*(s - 435)**2/11
Let -4*q**4/7 + 30*q**3/7 - 22*q**2/7 - 30*q/7 + 26/7 = 0. Calculate q.
-1, 1, 13/2
Factor 2*y**4 - 20*y**3 - 286*y**2 + 2904*y.
2*y*(y - 11)**2*(y + 12)
Solve -h**2/2 + 13*h - 25/2 = 0.
1, 25
Determine w so that w**4/6 - w**3/3 - 23*w**2/6 - 2*w + 6 = 0.
-3, -2, 1, 6
Factor -z**2/4 + 77*z/4.
-z*(z - 77)/4
Factor 2*i**4 + 13*i**3/2 - 33*i**2/2 + 11*i/2 + 5/2.
(i - 1)**2*(i + 5)*(4*i + 1)/2
Factor -2*r**2/11 - 24*r/11 - 72/11.
-2*(r + 6)**2/11
Find a, given that 3*a**2 + 219*a - 684 = 0.
-76, 3
Factor z**3/5 + 14*z**2/5 + 32*z/5 - 128/5.
(z - 2)*(z + 8)**2/5
Solve -2*q**3/5 - 8*q**2/5 - 2*q/5 + 12/5 = 0.
-3, -2, 1
Factor -18*w**3 + 24*w**2 - 2*w - 4.
-2*(w - 1)*(3*w - 2)*(3*w + 1)
Suppose -2*q**5/5 - 4*q**4/5 + 214*q**3/5 - 432*q**2/5 - 1512*q/5 - 864/5 = 0. What is q?
-12, -1, 6
Find x such that -3*x**2/2 + 22*x + 32 = 0.
-4/3, 16
Factor -15*q**3 - 85*q**2 + 160*q + 140.
-5*(q - 2)*(q + 7)*(3*q + 2)
Find b such that 11*b**2/2 + 4203*b/4 + 191/4 = 0.
-191, -1/22
Determine p, given that 3*p**5 - 111*p**4/5 + 297*p**3/5 - 357*p**2/5 + 192*p/5 - 36/5 = 0.
2/5, 1, 2, 3
Factor a**5/3 + 2*a**4 - 20*a**3 + 134*a**2/3 - 39*a + 12.
(a - 3)*(a - 1)**3*(a + 12)/3
Factor -4*m**2 - 744*m - 34596.
-4*(m + 93)**2
Find p such that -2*p**3/11 - 38*p**2/11 - 230*p/11 - 450/11 = 0.
-9, -5
Suppose 5*u**2 + 1810*u = 0. Calculate u.
-362, 0
What is x in x**5 - 8*x**4 - 12*x**3 + 22*x**2 + 43*x + 18 = 0?
-1, 2, 9
Factor -5*s**2 - 5*s.
-5*s*(s + 1)
Solve 2*z**2/19 - 36*z/19 + 64/19 = 0 for z.
2, 16
Factor 4*r**2/5 + 176*r/5 - 368/5.
4*(r - 2)*(r + 46)/5
Find u, given that 3*u**2/2 - 1002*u - 2010 = 0.
-2, 670
Solve -4*x**5 + 10*x**4 + 60*x**3 - 160*x**2 + 64*x = 0 for x.
-4, 0, 1/2, 2, 4
Let 5*i**4 - 50*i**3 + 165*i**2 - 220*i + 100 = 0. What is i?
1, 2, 5
Suppose -2*a**2/15 - 2*a/5 - 4/15 = 0. What is a?
-2, -1
Solve 5*j**3 + 5*j**2 - 280*j + 720 = 0 for j.
-9, 4
Factor -i**2 + 5*i + 50.
-(i - 10)*(i + 5)
Determine z so that -5*z**5/4 - 27*z**4/4 + 65*z**3/4 + 55*z**2/4 - 15*z - 7 = 0.
-7, -1, -2/5, 1, 2
Solve -2*a**2 + 96*a + 98 = 0 for a.
-1, 49
Determine l so that -2*l**5/9 + 116*l**4/3 - 2374*l**3/9 + 6052*l**2/9 - 744*l + 2672/9 = 0.
1, 2, 167
Factor -y**4 + 10*y**3 + 47*y**2 - 360*y - 1296.
-(y - 9)**2*(y + 4)**2
Let k**2/5 + 1102*k/5 - 1103/5 = 0. Calculate k.
-1103, 1
Solve 4*g**2 + 1348*g + 2680 = 0.
-335, -2
Factor -5*f**3 - 105*f**2 - 90*f + 200.
-5*(f - 1)*(f + 2)*(f + 20)
What is h in -h**5/2 - 19*h**4/2 + 2*h**3 + 38*h**2 = 0?
-19, -2, 0, 2
Determine v so that -4*v**2/3 + 24*v + 352/3 = 0.
-4, 22
Let 4*g**4/9 - 32*g**3/9 + 64*g**2/9 = 0. Calculate g.
0, 4
Determine i so that -i**3/5 - 508*i**2/5 + 509*i/5 = 0.
-509, 0, 1
Solve 8*k**3/17 + 6*k**2 + 214*k/17 - 60/17 = 0.
-10, -3, 1/4
Factor z**2/5 - 10844*z/5 + 29398084/5.
(z - 5422)**2/5
Factor o**2/4 + 325*o/4 + 81.
(o + 1)*(o + 324)/4
Determine k so that -4*k**3 + 8*k**2 + 60*k - 144 = 0.
-4, 3
Factor -2*b**3 + 208*b**2 - 2744*b - 6336.
-2*(b - 88)*(b - 18)*(b + 2)
Factor -617*q**2/2 - 3087*q/2 - 5.
-(q + 5)*(617*q + 2)/2
Suppose x**2 = 0. What is x?
0
Find l such that 2*l**2/9 - 40*l/9 - 88/9 = 0.
-2, 22
Find y, given that 13*y**3 + 512*y**2 + 4880*y - 3200 = 0.
-20, 8/13
Factor r**3 + 206*r**2 - 836*r + 840.
(r - 2)**2*(r + 210)
Factor -1054*w**3 - 1060*w**2 - 6*w.
-2*w*(w + 1)*(527*w + 3)
Factor 2*m**3 + 116*m**2 + 226*m + 112.
2*(m + 1)**2*(m + 56)
Determine r so that -2*r**3 + 14*r**2 - 8*r - 24 = 0.
-1, 2, 6
Let -i**4/3 - 11*i**3/3 - 12*i**2 - 12*i = 0. What is i?
-6, -3, -2, 0
What is f in -10*f**3 - 31*f**2 - 23*f - 2 = 0?
-2, -1, -1/10
Find q, given that -3*q**5 + 87*q**4 - 582*q**3 - 762*q**2 + 585*q + 675 = 0.
-1, 1, 15
Factor -3*q**2/4 - 75*q/4 - 18.
-3*(q + 1)*(q + 24)/4
Solve 3*t**2 - 108*t = 0.
0, 36
Factor 5*g**3 - 280*g**2 - 1495*g - 1830.
5*(g - 61)*(g + 2)*(g + 3)
Factor 2*o**4/7 - 396*o**3/7 - 1206*o**2/7.
2*o**2*(o - 201)*(o + 3)/7
Factor -2*n**2/5 - 182*n/5 + 1372/5.
-2*(n - 7)*(n + 98)/5
Factor t**3/5 - t**2/5 - 8*t/5 + 12/5.
(t - 2)**2*(t + 3)/5
Determine i, given that i**4 - 71*i**3 + 1560*i**2 - 9900*i = 0.
0, 11, 30
Let -25*i**3 + 877*i**2 + 830*i - 72 = 0. Calculate i.
-1, 2/25, 36
Solve -n**4 - 34*n**3 + 36*n**2 + 34*n - 35 = 0 for n.
-35, -1, 1
Factor -5*f**2 + 135*f - 460.
-5*(f - 23)*(f - 4)
Solve 130*o**4 + 3815*o**3 + 1295*o**2 - 290*o = 0.
-29, -1/2, 0, 2/13
What is m in 2*m**3/3 + 10*m**2 = 0?
-15, 0
Find p, given that -5*p**4 - 7*p**3 + 199*p**2/5 + 371*p/5 + 66/5 = 0.
-11/5, -2, -1/5, 3
Let -2*y**4/9 - 38*y**3/9 - 260*y**2/9 - 248*y/3 - 80 = 0. Calculate y.
-6, -5, -2
Suppose -h**2 - 477*h + 1924 = 0. Calculate h.
-481, 4
Find p such that 5*p**4/3 + 25*p**3/3 + 5*p**2 - 15*p = 0.
-3, 0, 1
Suppose -87*r**4/5 + 519*r**3/5 - 1026*r**2/5 + 132*r + 24/5 = 0. What is r?
-1/29, 2
Factor -g**5/7 - 6*g**4/7 - 12*g**3/7 - 10*g**2/7 - 3*g/7.
-g*(g + 1)**3*(g + 3)/7
Factor -i**3 + 20*i**2 - 117*i + 162.
-(i - 9)**2*(i - 2)
Suppose 3*u**2/2 - 9*u/2 = 0. What is u?
0, 3
Factor 2*d**2/13 - 94*d/13 - 196/13.
2*(d - 49)*(d + 2)/13
Factor -o**4/7 + 13*o**3/7 - 22*o**2/7.
-o**2*(o - 11)*(o - 2)/7
What is n in 5*n**4 - 1805*n**3 + 3590*n**2 = 0?
0, 2, 359
Suppose 14*j**5 + 32*j**4 - 48*j**3 - 128*j**2 - 32*j = 0. What is j?
-2, -2/7, 0, 2
Factor 11*h**2/5 + 163*h/5 - 6.
(h + 15)*(11*h - 2)/5
Let -3*g**2 - 60*g = 0. What is g?
-20, 0
Factor 4*x**3/7 + 156*x**2/7 - 5472*x/7 - 213712/7.
4*(x - 37)*(x + 38)**2/7
Solve -m**5/3 - 5*m**4 - 13*m**3/3 + 5*m**2 + 14*m/3 = 0.
-14, -1, 0, 1
Find r such that -3*r**5/2 + 15*r**3/2 - 6*r = 0.
-2, -1, 0, 1, 2
Factor 13*j**2 - 105*j/2 + 2.
(j - 4)*(26*j - 1)/2
Factor -4*a**2 + 172*a.
-4*a*(a - 43)
Find c such that 7*c**5/3 + 82*c**4/3 - 115*c**3/3 + 26*c**2/3 = 0.
-13, 0, 2/7, 1
Factor 2*y**2/3 - 166*y - 1004/3.
2*(y - 251)*(y + 2)/3
Suppose -15*k**3/2 - 78*k**2 + 99*k/2 = 0. What is k?
-11, 0, 3/5
Let -4*o**5/7 + 24*o**3/7 + 32*o**2/7 + 12*o/7 = 0. What is o?
-1, 0, 3
Let -4*c**3/5 + 436*c**2/5 + 1808*c/5 = 0. Calculate c.
-4, 0, 113
Find g, given that -2*g**5/9 + 736*g**4/9 + 740*g**3/9 - 736*g**2/9 - 82*g = 0.
-1, 0, 1, 369
Determine u so that u**2/6 + 97*u/3