**3/2 - 169*u**2/4 + 132*u - 144 = 0. What is u?
3, 8
Determine x so that x**3/2 - 11*x**2/2 + 20*x - 24 = 0.
3, 4
Determine p so that -p**2/5 + 69*p/5 + 142/5 = 0.
-2, 71
Factor 4*a**4 + 20*a**3 - 72*a**2 - 512*a - 640.
4*(a - 5)*(a + 2)*(a + 4)**2
Suppose l**2/3 + 8*l/3 + 7/3 = 0. Calculate l.
-7, -1
Factor -2*c**3/5 - 126*c**2/5 - 694*c/5 - 114.
-2*(c + 1)*(c + 5)*(c + 57)/5
Determine o, given that 6*o**4 + 21*o**3 - 18*o**2 - 21*o + 12 = 0.
-4, -1, 1/2, 1
Find u, given that 2*u**4/5 + 1734*u**3/5 - 5214*u**2/5 + 5218*u/5 - 348 = 0.
-870, 1
Let -p**5 + 2*p**4 - 2*p**2 + p = 0. What is p?
-1, 0, 1
Factor -8*y**2/9 + 22*y/3 - 16/9.
-2*(y - 8)*(4*y - 1)/9
Suppose -4*r**4 - 276*r**3 + 1148*r**2 - 1452*r + 584 = 0. Calculate r.
-73, 1, 2
Suppose 2*q**3/17 - 532*q**2/17 = 0. Calculate q.
0, 266
Let -48*m**5 - 5412*m**4 - 154560*m**3 - 112893*m**2 + 336*m + 9408 = 0. Calculate m.
-56, -1/2, 1/4
Factor 2*w**4 - 62*w**3 + 58*w**2 + 62*w - 60.
2*(w - 30)*(w - 1)**2*(w + 1)
Factor -2*o**3/13 - 684*o**2/13 - 682*o/13.
-2*o*(o + 1)*(o + 341)/13
Factor 4*f**2/3 - 568*f + 1700/3.
4*(f - 425)*(f - 1)/3
Factor 3*g**2/5 + 138*g/5 - 1881/5.
3*(g - 11)*(g + 57)/5
Factor -4*t**2 - 2184*t.
-4*t*(t + 546)
What is o in o**2 - 8*o + 16 = 0?
4
Factor 4*f**3/3 + 5554*f**2/3 + 1929320*f/3 + 963272/3.
2*(f + 694)**2*(2*f + 1)/3
Determine p, given that -5*p**5 - 40*p**4 + 105*p**3 + 40*p**2 - 100*p = 0.
-10, -1, 0, 1, 2
Find g, given that -3*g**3 - 27*g**2 - 45*g + 75 = 0.
-5, 1
Suppose -4*g**3 + 28*g**2 + 112*g + 80 = 0. Calculate g.
-2, -1, 10
Suppose -2*c**3/5 - 834*c**2/5 - 83952*c/5 + 629216/5 = 0. Calculate c.
-212, 7
Find x such that 55*x**3 - 1670*x**2 + 2195*x - 580 = 0.
4/11, 1, 29
Solve -1300500*t**2 + 1020*t - 1/5 = 0 for t.
1/2550
Find s such that -3*s**4/5 + 282*s**3/5 - 7956*s**2/5 + 6936*s + 943296/5 = 0.
-8, 34
Determine v so that 3*v**5/7 - 150*v**4/7 + 1152*v**3/7 - 1866*v**2/7 + 123*v = 0.
0, 1, 7, 41
What is r in -2*r**5/5 - 86*r**4/5 - 964*r**3/5 - 796*r**2/5 + 966*r/5 + 882/5 = 0?
-21, -1, 1
Let -v**4/10 - 13*v**3/10 + 17*v**2/5 + 26*v/5 - 12 = 0. What is v?
-15, -2, 2
Suppose 2*w**4/3 + 7*w**3/3 + 3*w**2 + 5*w/3 + 1/3 = 0. Calculate w.
-1, -1/2
Suppose 6*z**4/5 + 3024*z**3/5 + 384036*z**2/5 + 759024*z/5 + 378006/5 = 0. What is z?
-251, -1
Factor 2*l**3/7 + 18*l**2/7 + 48*l/7 + 32/7.
2*(l + 1)*(l + 4)**2/7
Factor 5*t**3 + 65*t**2 + 175*t - 245.
5*(t - 1)*(t + 7)**2
Determine s so that 2*s**5/13 - 4*s**4/13 - 30*s**3/13 = 0.
-3, 0, 5
Determine r, given that -21*r**3/8 - 15*r**2 + 603*r/8 - 81/4 = 0.
-9, 2/7, 3
Find n such that 2*n**4 + 34*n**3 - 38*n**2 - 34*n + 36 = 0.
-18, -1, 1
Factor 3*w**4 - 6*w**3 - 189*w**2.
3*w**2*(w - 9)*(w + 7)
Determine w so that 2*w**2/3 - 494*w/3 = 0.
0, 247
Let 2*c**2/21 - 16*c/21 - 6/7 = 0. What is c?
-1, 9
Factor i**2 + 22*i + 121.
(i + 11)**2
Factor -2*v**2/5 - 22*v/5 + 52/5.
-2*(v - 2)*(v + 13)/5
Factor 2*x**2/13 + 2*x/13 - 4/13.
2*(x - 1)*(x + 2)/13
Determine l so that -5*l**3 + 160*l**2 + 20*l - 640 = 0.
-2, 2, 32
Factor -128*f**4/13 + 3040*f**3/13 - 25752*f**2/13 + 89146*f/13 - 97556/13.
-2*(f - 2)*(4*f - 29)**3/13
Determine m so that -4*m**5 - 36*m**4 - 108*m**3 - 124*m**2 - 48*m = 0.
-4, -3, -1, 0
Find h, given that -2*h**4/7 + 16*h**3/7 - 26*h**2/7 + 12*h/7 = 0.
0, 1, 6
Suppose -3*c**3/4 + 3*c**2 - 15*c/4 + 3/2 = 0. Calculate c.
1, 2
Factor 2*u**3/5 + 18*u**2/5 + 52*u/5 + 48/5.
2*(u + 2)*(u + 3)*(u + 4)/5
Suppose -2*q**3/5 - 22*q**2/5 + 8*q/5 + 88/5 = 0. Calculate q.
-11, -2, 2
Determine n so that 3*n**4 + 84*n**3 - 279*n**2 + 12*n + 372 = 0.
-31, -1, 2
Solve -2*h**5/7 - 8*h**4 + 18*h**3 + 180*h**2/7 = 0 for h.
-30, -1, 0, 3
Factor 13*x**5 + 29*x**4 + 19*x**3 + 3*x**2.
x**2*(x + 1)**2*(13*x + 3)
Determine a so that -16*a**3 + 284*a**2 + 376*a + 76 = 0.
-1, -1/4, 19
Factor -l**4/6 + 14*l**3/3 - 106*l**2/3 + 160*l/3.
-l*(l - 16)*(l - 10)*(l - 2)/6
Solve -4*l**2 - 128*l = 0 for l.
-32, 0
Solve 2*x**5/9 - 22*x**4/9 + 34*x**3/9 + 22*x**2/9 - 4*x = 0.
-1, 0, 1, 2, 9
What is i in -2*i**5/3 - 44*i**4/3 + 52*i**3/3 + 128*i**2/3 - 226*i/3 + 92/3 = 0?
-23, -2, 1
Factor -f**2 + 3726*f - 3725.
-(f - 3725)*(f - 1)
Suppose 3*n**2/4 - 153*n/4 - 159/2 = 0. What is n?
-2, 53
Find i, given that -i**5/2 - 3*i**4 + 45*i**3 - 142*i**2 + 327*i/2 - 63 = 0.
-14, 1, 3
Factor -2*p**2/5 - 56*p/5 + 24.
-2*(p - 2)*(p + 30)/5
Factor 5*y**2 + 1510*y + 114005.
5*(y + 151)**2
Let l**5 - 4*l**4 - 51*l**3 - 90*l**2 = 0. Calculate l.
-3, 0, 10
Factor -d**2/9 - 538*d/9 - 72361/9.
-(d + 269)**2/9
Suppose -2*f**5/3 + 56*f**4/3 + 4*f**3/3 - 112*f**2/3 - 2*f/3 + 56/3 = 0. What is f?
-1, 1, 28
Suppose 5*s**5 - 120*s**4 + 1030*s**3 - 3680*s**2 + 4725*s - 1960 = 0. What is s?
1, 7, 8
Factor 4*l**5/9 - 8*l**4/3 + 20*l**3/9.
4*l**3*(l - 5)*(l - 1)/9
Factor 5*x**3 + 990*x**2 + 48000*x - 100000.
5*(x - 2)*(x + 100)**2
Find a, given that a**4/7 + 8*a**3/7 + 5*a**2/7 - 38*a/7 + 24/7 = 0.
-6, -4, 1
Solve r**3 + 125*r**2/6 + 189*r/2 - 49/3 = 0.
-14, -7, 1/6
Let -4*j**4/15 + 6*j**3 - 238*j**2/15 - 174*j/5 - 38/3 = 0. What is j?
-1, -1/2, 5, 19
Suppose 4*h**3/7 + 1912*h**2/7 - 11580*h/7 + 17424/7 = 0. What is h?
-484, 3
Let r**3 + 8*r**2 + 15*r = 0. What is r?
-5, -3, 0
Solve -6*b**5 - 297*b**4/2 - 213*b**3/2 + 36*b**2 = 0 for b.
-24, -1, 0, 1/4
Factor -u**3/3 + 3*u**2 + 16*u + 52/3.
-(u - 13)*(u + 2)**2/3
Factor 45*c**3 - 725*c**2 + 2960*c - 320.
5*(c - 8)**2*(9*c - 1)
Suppose -4*y**3/3 + 440*y**2 + 2656*y/3 = 0. Calculate y.
-2, 0, 332
Factor -2*o**3/5 - 2*o**2 + 12*o/5.
-2*o*(o - 1)*(o + 6)/5
Factor c**4/3 + c**3 - c**2/3 - c.
c*(c - 1)*(c + 1)*(c + 3)/3
Factor -3*y**3 - 177*y**2.
-3*y**2*(y + 59)
Factor m**4/8 - 17*m**3/4 + 4*m**2 + 17*m/4 - 33/8.
(m - 33)*(m - 1)**2*(m + 1)/8
Factor 108*p**4 + 50364*p**3 - 84165*p**2 + 35100*p.
3*p*(p + 468)*(6*p - 5)**2
Solve -2*v**2/13 + 38*v/13 + 40/13 = 0 for v.
-1, 20
Find q, given that 5*q**5/4 - 55*q**4/4 + 35*q**3/4 + 715*q**2/4 + 70*q - 245 = 0.
-2, 1, 7
Suppose -r**3/9 + r/3 - 2/9 = 0. What is r?
-2, 1
Determine w, given that 2*w**3 + 6726*w**2 + 7539846*w + 2817389122 = 0.
-1121
Solve 5*c**2/2 - 710*c = 0 for c.
0, 284
Factor 3*n**4/4 + 9*n**3/2 + 9*n**2 + 15*n/2 + 9/4.
3*(n + 1)**3*(n + 3)/4
What is b in 3*b**5 + 96*b**4 - 435*b**3 - 96*b**2 + 432*b = 0?
-36, -1, 0, 1, 4
Suppose 4*a**3 + 28*a**2 - 8900*a + 142500 = 0. What is a?
-57, 25
Factor a**4/4 + 49*a**3/2 + 2401*a**2/4.
a**2*(a + 49)**2/4
Suppose 12*b**5 + 69*b**4 - 27*b**3 - 54*b**2 = 0. What is b?
-6, -3/4, 0, 1
Suppose 2*h**2/3 - 738*h - 4436/3 = 0. What is h?
-2, 1109
Let 4*m**2 + 60*m + 104 = 0. What is m?
-13, -2
Let h**2/4 - 73*h + 5329 = 0. Calculate h.
146
Factor 3*w**5 - 15*w**4 - 84*w**3 + 96*w**2.
3*w**2*(w - 8)*(w - 1)*(w + 4)
Solve f**5 - 116*f**4 + 3364*f**3 = 0.
0, 58
Factor n**4 + 1023*n**3 + 1021*n**2 - 1023*n - 1022.
(n - 1)*(n + 1)**2*(n + 1022)
Factor q**4/3 + 46*q**3 + 1736*q**2/3.
q**2*(q + 14)*(q + 124)/3
Suppose 14*p**2 + 432*p - 1952 = 0. What is p?
-244/7, 4
Determine k, given that -k**4 + 23*k**3 - 98*k**2 + 148*k - 72 = 0.
1, 2, 18
Factor -b**5 - 21*b**4.
-b**4*(b + 21)
Solve v**4 + 13*v**3 + 35*v**2 - 49*v = 0.
-7, 0, 1
Factor -52*n**2/3 - 18*n - 2/3.
-2*(n + 1)*(26*n + 1)/3
Suppose 2*z**2 - 160*z + 462 = 0. What is z?
3, 77
Factor 4*l**3 + 68*l**2 + 384*l + 720.
4*(l + 5)*(l + 6)**2
Solve -2*m**4 + 38*m**3 - 32*m**2 - 72*m = 0.
-1, 0, 2, 18
Factor 5*n**4 + 50*n**3 + 165*n**2 + 200*n + 80.
5*(n + 1)**2*(n + 4)**2
Find f such that -75*f**4 + 455*f**3/3 - 102*f**2 + 28*f - 8/3 = 0.
2/9, 2/5, 1
Suppose 8*g**5 + 760*g**4 - 1558*g**3 - 572*g**2 + 974*g + 388 = 0. Calculate g.
-97, -1/2, 1, 2
Let -5*o**4 + 20*o**3 + 10*o**2 - 60*o - 45 = 0. Calculate o.
-1, 3
Let 3*k**2 - 3 = 0. Calculate k.
-1, 1
Find k such that 3*k**3/5 - 288*k**2/5 + 837*k/5 = 0.
0, 3, 93
Let 2*g**4/13 - 2*g**3 - 58*g**2/13 - 30*g/13 = 0. What is g?
-1, 0, 15
Suppose 5*n**4 - 320*n**3 + 1785*n**2 - 2630*n + 1160 = 0. What is n?
1, 4, 58
Solve 343*s**4 - 174979*s**3 - 150150*s**2 - 42916*s - 4088 = 0 for s.
-2/7, 511
Factor -121*s**2/3 - 15796*s/3 - 515524/3.
-(11*s + 718)**2/3
Let -5*h**2 + 23610*h - 27871605 = 0. Calculate h.
2361
Factor 5*a**2/2 - 15*a.
5*a*(a - 6)/2
Factor g**2 - 13*g + 42.
(g - 7)*(g - 6)
What is b in 189*b**3/5 - 243*b**2/5 + 72*b/5 +