 -2*a**2 - 128*a - 248.
-2*(a + 2)*(a + 62)
Factor 2*k**2/11 + 4*k/11 - 16/11.
2*(k - 2)*(k + 4)/11
What is q in 3*q**2 - 108*q - 756 = 0?
-6, 42
Factor -3*j**3/5 + 12*j**2/5 + 36*j/5.
-3*j*(j - 6)*(j + 2)/5
Determine u so that 5*u**4 + 440*u**3 + 14520*u**2 + 212960*u + 1171280 = 0.
-22
Suppose 5*r**3 + 65*r**2 + 200*r = 0. What is r?
-8, -5, 0
Factor m**2/7 - 46*m/7 + 529/7.
(m - 23)**2/7
Solve -14*p**5/13 + 186*p**4/13 + 214*p**3/13 - 1098*p**2/13 + 880*p/13 - 168/13 = 0 for p.
-3, 2/7, 1, 14
Solve 243*c**2 - 4752*c + 23232 = 0.
88/9
Factor -d**2 - 33*d - 62.
-(d + 2)*(d + 31)
What is j in 5*j**4 - 50*j**3 - 195*j**2 - 20*j + 260 = 0?
-2, 1, 13
Factor -2*j**3/3 - 44*j**2/3 - 82*j/3 - 40/3.
-2*(j + 1)**2*(j + 20)/3
Let -2*g**5/5 + 6*g**4/5 + 4*g**3/5 - 12*g**2/5 - 2*g/5 + 6/5 = 0. Calculate g.
-1, 1, 3
Factor 2*r**3/9 - 694*r**2/3 + 240818*r/3 - 83563846/9.
2*(r - 347)**3/9
Factor -5*t**3 + 45*t**2 + 110*t.
-5*t*(t - 11)*(t + 2)
Factor -10082*l**2 - 142*l - 1/2.
-(142*l + 1)**2/2
Factor -3*x**3 - 225*x**2 + 459*x - 231.
-3*(x - 1)**2*(x + 77)
Let k**2/2 + 21*k/2 - 65 = 0. Calculate k.
-26, 5
Factor 5*j**5 - 30*j**4 + 40*j**3.
5*j**3*(j - 4)*(j - 2)
Find n, given that -4*n**2 + 120*n + 1600 = 0.
-10, 40
Suppose r**4/3 - 3*r**3 + 23*r**2/3 - 5*r = 0. What is r?
0, 1, 3, 5
Factor 2*o**5/7 + 4*o**4/7 - 4*o**3/7 - 16*o**2/7 - 2*o - 4/7.
2*(o - 2)*(o + 1)**4/7
Factor 4*i**3/11 - 2*i**2/11 - 122*i/11 - 60/11.
2*(i - 6)*(i + 5)*(2*i + 1)/11
Solve -2190*v**5 - 2525*v**4 + 400*v**3 + 725*v**2 - 10*v = 0 for v.
-1, -2/3, 0, 1/73, 1/2
Factor 8*c**4 + 30*c**3 + 32*c**2 + 6*c - 4.
2*(c + 1)**2*(c + 2)*(4*c - 1)
Factor -5*u**2 + 410*u - 800.
-5*(u - 80)*(u - 2)
Factor 7*r**4/2 - 12*r**3 - 37*r**2/2 + 57*r + 36.
(r - 3)**2*(r + 2)*(7*r + 4)/2
Let -2*d**3/7 - 4*d**2 + 2*d/7 + 4 = 0. What is d?
-14, -1, 1
Factor 2*t**2/11 + 32*t/11 + 120/11.
2*(t + 6)*(t + 10)/11
Suppose -2*a**4 + 274*a**3 + 558*a**2 - 274*a - 556 = 0. What is a?
-2, -1, 1, 139
Let -n**4/5 - 2*n**3/5 - n**2/5 = 0. Calculate n.
-1, 0
Determine b so that 5*b**4 - 1138*b**3 + 66744*b**2 - 224000*b - 100352 = 0.
-2/5, 4, 112
Solve -2*h**5/7 - 6*h**4/7 + 18*h**3/7 - 10*h**2/7 = 0 for h.
-5, 0, 1
What is a in 51*a**4 - 198*a**3 + 27*a**2 + 312*a + 36 = 0?
-1, -2/17, 2, 3
Suppose -22*h**5/3 + 392*h**4/9 - 56*h**3 - 428*h**2/9 + 190*h/3 + 4 = 0. What is h?
-1, -2/33, 1, 3
Let -r**2/2 + 885*r - 783225/2 = 0. Calculate r.
885
Suppose s**3 - 21*s**2 + 14*s + 120 = 0. What is s?
-2, 3, 20
Factor -y**2/7 + 27*y/7 - 176/7.
-(y - 16)*(y - 11)/7
Solve q**5 + 2*q**4 - 6*q**3 - 4*q**2 + 13*q - 6 = 0.
-3, -2, 1
Determine w, given that -w**2/4 - 994*w - 988036 = 0.
-1988
Determine l, given that l**2/10 + 7*l/5 - 156/5 = 0.
-26, 12
Determine z so that -2*z**5/3 - 12*z**4 - 170*z**3/3 + 712*z/3 + 192 = 0.
-9, -8, -2, -1, 2
Find q such that 2*q**5/15 + 26*q**4/15 - 2*q**3/15 - 26*q**2/15 = 0.
-13, -1, 0, 1
Factor -2*v**2/3 - 3248*v - 3956064.
-2*(v + 2436)**2/3
Factor -3*l**4 - 189*l**3 + 1659*l**2 - 3195*l.
-3*l*(l - 5)*(l - 3)*(l + 71)
Factor 2*d**2/3 - 164*d/3 - 290.
2*(d - 87)*(d + 5)/3
Let -6*t**4 - 69*t**3 - 18*t**2 + 159*t - 66 = 0. What is t?
-11, -2, 1/2, 1
Factor -3*a**3/7 - 39*a**2/7 - 90*a/7.
-3*a*(a + 3)*(a + 10)/7
Suppose 4*r**4 + 4*r**3 - 12*r**2 - 4*r + 8 = 0. Calculate r.
-2, -1, 1
Factor -5*b**2 - 860*b.
-5*b*(b + 172)
Factor 3*x**5 - 15*x**4 + 3*x**3 + 63*x**2 - 54*x.
3*x*(x - 3)**2*(x - 1)*(x + 2)
Factor o**4 + 4276*o**3 + 6091872*o**2 + 2887535920*o - 5799473552.
(o - 2)*(o + 1426)**3
Let -2*v**2 + 6580*v = 0. Calculate v.
0, 3290
Let -48*o**5 - 22104*o**4 + 11109*o**3 + 20718*o**2 - 12447*o = 0. Calculate o.
-461, -1, 0, 3/4
Factor -2*r**2/15 - 214*r/15 - 824/15.
-2*(r + 4)*(r + 103)/15
Solve z**3/3 - 7*z**2/3 + 5*z - 3 = 0.
1, 3
Factor -2*n**2/13 - 8*n + 2176/13.
-2*(n - 16)*(n + 68)/13
Factor 3*l**2/5 + 507*l/5 - 1026/5.
3*(l - 2)*(l + 171)/5
Suppose 8*i**5/9 - 26*i**4/3 + 44*i**3/9 + 32*i**2/3 - 52*i/9 - 2 = 0. What is i?
-1, -1/4, 1, 9
Determine z so that -3*z**3 - 48*z**2 + 5520*z - 67200 = 0.
-56, 20
What is d in -3*d**2 - 45*d + 102 = 0?
-17, 2
Find q, given that q**2 - 106*q + 2809 = 0.
53
Factor m**4/5 + 25*m**3 - 253*m**2/5 + 127*m/5.
m*(m - 1)**2*(m + 127)/5
Factor o**2/5 + 3*o/5.
o*(o + 3)/5
Factor -5*j**5 - 35*j**4 + 55*j**3 + 95*j**2 - 190*j + 80.
-5*(j - 1)**3*(j + 2)*(j + 8)
Factor -18*a**3/5 + 42*a**2 - 134*a/5 + 22/5.
-2*(a - 11)*(3*a - 1)**2/5
Factor 8*p**5/9 + 404*p**4/9 + 5200*p**3/9 + 2500*p**2/9.
4*p**2*(p + 25)**2*(2*p + 1)/9
Find h, given that 12*h**5 - 76*h**4 + 176*h**3 - 176*h**2 + 64*h = 0.
0, 1, 4/3, 2
Solve 2*d**3/11 + 48*d**2/11 + 130*d/11 + 84/11 = 0 for d.
-21, -2, -1
Determine j so that 2*j**3/11 - 1256*j**2/11 + 197192*j/11 = 0.
0, 314
Factor -h**3/4 - 22*h**2 - 484*h.
-h*(h + 44)**2/4
Suppose 90*g**4/19 - 106*g**3 + 700*g**2/19 + 1048*g/19 + 176/19 = 0. What is g?
-2/5, -2/9, 1, 22
Factor -10*v**3 + 334*v**2 - 132*v.
-2*v*(v - 33)*(5*v - 2)
Factor -18*q**5/5 - 76*q**4/5 - 88*q**3/5 - 16*q**2/5.
-2*q**2*(q + 2)**2*(9*q + 2)/5
Factor -b**4/3 - 44*b**3/3 - 174*b**2 - 252*b + 441.
-(b - 1)*(b + 3)*(b + 21)**2/3
Factor -2*t**5 - 10*t**4 - 18*t**3 - 14*t**2 - 4*t.
-2*t*(t + 1)**3*(t + 2)
Solve r**5/3 - 4*r**4/3 - 8*r**3/3 + 10*r**2/3 + 23*r/3 + 10/3 = 0 for r.
-1, 2, 5
Find r, given that 2*r**3/15 + 26*r**2 + 1690*r + 109850/3 = 0.
-65
Suppose -5*n**3 - 1420*n**2 + 2855*n - 1430 = 0. Calculate n.
-286, 1
Factor -2*b**4 - 10*b**3 + 24*b**2 + 72*b.
-2*b*(b - 3)*(b + 2)*(b + 6)
Find h such that -3*h**4 - 12*h**3 + 39*h**2 + 12*h - 36 = 0.
-6, -1, 1, 2
Solve 7*d**4 + 17*d**3 - 85*d**2 + 31*d + 30 = 0.
-5, -3/7, 1, 2
Find q, given that 10*q**3/3 - 116*q**2/3 - 16*q = 0.
-2/5, 0, 12
Suppose 20*u**5 + 715*u**4 + 8485*u**3 + 36770*u**2 + 46620*u + 17640 = 0. Calculate u.
-14, -6, -1, -3/4
Find r such that 3*r**3 - 27*r**2 - 147*r - 117 = 0.
-3, -1, 13
Let -15*r**4/2 + 27*r**3/8 - 3*r**2/8 = 0. Calculate r.
0, 1/5, 1/4
Factor v**5/4 + v**4/2 - v**2/2 - v/4.
v*(v - 1)*(v + 1)**3/4
Determine d, given that -d**3/9 - 19*d**2 - 2408*d/3 + 7396/9 = 0.
-86, 1
Factor 9*h**3/2 - 28*h**2 - 807*h/2 + 91.
(h - 13)*(h + 7)*(9*h - 2)/2
Solve -12*a**2 - 178*a + 124 = 0 for a.
-31/2, 2/3
Factor z**2 + 1453*z - 1454.
(z - 1)*(z + 1454)
Factor -4*r**4 - 12*r**3 + 184*r**2 - 288*r.
-4*r*(r - 4)*(r - 2)*(r + 9)
Factor -5*w**5 - 5*w**4 + 10*w**3 + 10*w**2 - 5*w - 5.
-5*(w - 1)**2*(w + 1)**3
Determine f, given that -f**3 + f**2 + f - 1 = 0.
-1, 1
Factor -4*z**3 + 16*z.
-4*z*(z - 2)*(z + 2)
Solve 3*n**3/5 + 414*n**2/5 - 837*n/5 + 84 = 0 for n.
-140, 1
Determine n, given that -n**2/5 + 599*n/5 - 598/5 = 0.
1, 598
Find o, given that 2*o**3/7 - 62*o**2/7 - 240*o/7 + 1224/7 = 0.
-6, 3, 34
Let -4*k**4 + 164*k**3 + 172*k**2 - 164*k - 168 = 0. Calculate k.
-1, 1, 42
Factor 2*h**3/9 + 22*h**2 - 200*h/9.
2*h*(h - 1)*(h + 100)/9
Factor 2*w**4/3 + 20*w**3/9 + 2*w**2/3.
2*w**2*(w + 3)*(3*w + 1)/9
Factor 3*j**3 + 7659*j**2 + 6517809*j + 1848885153.
3*(j + 851)**3
Factor -c**3/4 + 57*c**2/4 - 41*c + 27.
-(c - 54)*(c - 2)*(c - 1)/4
Factor 4*t**3.
4*t**3
Suppose 6*a**5 + 11*a**4/2 - 97*a**3 + 255*a**2/2 - 2*a - 10 = 0. Calculate a.
-5, -1/4, 1/3, 2
Factor 65*v**4 - 835*v**3 - 130*v**2.
5*v**2*(v - 13)*(13*v + 2)
Factor -x**3/2 - 4277*x**2/2 - 4571043*x/2 + 4575321/2.
-(x - 1)*(x + 2139)**2/2
Factor 5*x**5 - 5*x**4 - 10*x**3 + 10*x**2 + 5*x - 5.
5*(x - 1)**3*(x + 1)**2
Solve -2*s**3 - 18*s**2 - 30*s - 14 = 0 for s.
-7, -1
Suppose -2*f**4/7 + 32*f**3/7 - 124*f**2/7 - 32*f/7 + 18 = 0. What is f?
-1, 1, 7, 9
Factor 2*x**2/3 + 76*x/3.
2*x*(x + 38)/3
Find x such that -8*x**3 + 426*x**2 - 5928*x + 6760 = 0.
5/4, 26
Factor -2*j**4 + 12*j**3 - 22*j**2 + 12*j.
-2*j*(j - 3)*(j - 2)*(j - 1)
Solve -5*x**2 - 5*x = 0 for x.
-1, 0
Factor 2*f**3/7 - 136*f**2/7 + 2952*f/7 - 20736/7.
2*(f - 32)*(f - 18)**2/7
Determine i, given that i**2/5 + 7*i + 34/5 = 0.
-34, -1
Factor 2*d**4 + 228*d**3 - 2*d**2 - 228*d.
2*d*(d - 1)*(d + 1)*(d + 114)
Find b such that -2*b**3/11 + 28*b**2/11 - 62*b/11 - 252/11 = 0.
-2, 7, 9
Suppose 2*q**4 + 10*q**3 - 146*q**2 + 254*q - 120 = 0. What is q?
-12, 1, 5
Factor -448*z**3/5 - 496*z**2/5 - 32*z - 12/5.
-4*(2*z + 1)**2*(28*z + 3)/5
What is t in -t**5/7 + 151*t**4/7 - 825*t**3 + 5625*t**2/7 = 0?
0, 