ctor 28*o**3 - 188*o**2 - 560*o - 144.
4*(o - 9)*(o + 2)*(7*o + 2)
Determine q, given that -3*q**2 + 9*q + 54 = 0.
-3, 6
Determine z so that z**2/4 + 66*z = 0.
-264, 0
Factor 2*w**4 + 4*w**3 - 8*w**2 - 16*w.
2*w*(w - 2)*(w + 2)**2
What is q in 4*q**5 - 32*q**3 - 24*q**2 + 28*q + 24 = 0?
-2, -1, 1, 3
Factor -l**3 + 30*l**2 - 209*l + 180.
-(l - 20)*(l - 9)*(l - 1)
Determine r, given that 5*r**2 + 15*r = 0.
-3, 0
Factor 128*o**2 + 130*o + 2.
2*(o + 1)*(64*o + 1)
Solve -15*v**3 + 65*v**2 + 160*v - 60 = 0.
-2, 1/3, 6
What is v in -34*v**2/3 + 38*v/3 - 4/3 = 0?
2/17, 1
Find v such that 2*v**5/9 - 10*v**4 + 322*v**3/3 + 1058*v**2/9 = 0.
-1, 0, 23
Determine z so that 4*z**4/7 - 796*z**3/7 + 40776*z**2/7 - 16688*z + 10976 = 0.
1, 2, 98
Suppose 7*n**4/8 - 167*n**3/4 - 12*n**2 = 0. Calculate n.
-2/7, 0, 48
Factor -4*z**4/7 + 88*z**3/7 - 92*z**2 + 224*z.
-4*z*(z - 8)*(z - 7)**2/7
Find f, given that f**2/3 + 248*f/3 - 83 = 0.
-249, 1
Factor 3*g**4 - 108*g**3 + 732*g**2 + 4320*g + 4800.
3*(g - 20)**2*(g + 2)**2
Let 4*q**3 + 44*q**2 + 80*q - 128 = 0. Calculate q.
-8, -4, 1
Factor -3*z**2 + 45*z + 102.
-3*(z - 17)*(z + 2)
Factor -2*q**2 - 1208*q - 182408.
-2*(q + 302)**2
Let -10*i**5/9 + 4*i**4 + 2*i**3/3 - 64*i**2/9 - 8*i/3 = 0. Calculate i.
-1, -2/5, 0, 2, 3
Let -16*a**4/3 + 194*a**3/3 + 226*a**2/3 - 194*a/3 - 70 = 0. Calculate a.
-1, 1, 105/8
Factor i**2/2 - 250*i + 499/2.
(i - 499)*(i - 1)/2
Find l such that -2*l**2/3 + 47*l/6 + 2 = 0.
-1/4, 12
Factor 4*m**2 - 244*m.
4*m*(m - 61)
Determine v so that 2*v**3 + 834*v**2 = 0.
-417, 0
Factor 3*a**5/4 - 165*a**4/4 + 321*a**3/4 - 159*a**2/4.
3*a**2*(a - 53)*(a - 1)**2/4
Solve -3*t**3/2 - 87*t**2/2 - 300*t - 600 = 0.
-20, -5, -4
Let -2*i**2 - 3532*i + 3534 = 0. What is i?
-1767, 1
Find x such that -x**5/2 - 35*x**4/6 - 13*x**3/6 + 33*x**2/2 - 2*x/3 - 22/3 = 0.
-11, -2, -2/3, 1
Factor p**4 + p**3 - 6*p**2.
p**2*(p - 2)*(p + 3)
Solve -l**4/2 + 8*l**3 - 51*l**2/2 + 18*l = 0.
0, 1, 3, 12
Factor -10*b**4 - 85*b**3 - 135*b**2 + 90*b.
-5*b*(b + 3)*(b + 6)*(2*b - 1)
Determine k, given that -2*k**3 + 708*k**2 - 63360*k + 123904 = 0.
2, 176
Let 4*m**3 + 92*m**2 - 196*m + 100 = 0. Calculate m.
-25, 1
Determine o, given that o**3/2 + 17*o**2/2 + 28*o + 26 = 0.
-13, -2
Solve g**3/5 + 2*g**2/5 - 3*g - 36/5 = 0.
-3, 4
Find q, given that -q**3 + 46*q**2 - 529*q = 0.
0, 23
Factor 4*u**3 + 676*u**2 + 28220*u - 28900.
4*(u - 1)*(u + 85)**2
Find z such that 4*z**3 - 44*z**2 + 56*z + 320 = 0.
-2, 5, 8
Suppose 3*k**2 + 24*k + 45 = 0. What is k?
-5, -3
Factor 2*t**2/7 - 23304*t/7 + 67884552/7.
2*(t - 5826)**2/7
Solve 3*f**2/4 + 135*f/2 - 273/4 = 0 for f.
-91, 1
Find r such that 2*r**3/5 - 56*r**2/5 - 686*r/5 + 148 = 0.
-10, 1, 37
Factor -2375*g**2/4 - 5*g/4.
-5*g*(475*g + 1)/4
Factor 3*r**3 - 12*r**2 - 57*r - 42.
3*(r - 7)*(r + 1)*(r + 2)
Solve -20*t**5 - 65*t**4 - 55*t**3 - 10*t**2 = 0 for t.
-2, -1, -1/4, 0
Factor -4*c**3/3 + 16*c**2/3 - 4*c/3 - 8.
-4*(c - 3)*(c - 2)*(c + 1)/3
Factor 54*j**4 - 2808*j**3 + 2772*j**2 - 920*j + 102.
2*(j - 51)*(3*j - 1)**3
Solve 4*a**3 - 540*a**2 - 1696*a + 5520 = 0.
-5, 2, 138
Let 5*u**2 - 490*u - 495 = 0. What is u?
-1, 99
Factor -w**3/3 - 314*w**2 - 98596*w - 30959144/3.
-(w + 314)**3/3
Determine b so that -2*b**3 + 32*b**2 + 154*b + 120 = 0.
-3, -1, 20
Find u, given that 2*u**2 + 198*u + 576 = 0.
-96, -3
Factor 49*l**5 - 7*l**4 - 327*l**3 - 261*l**2 - 54*l.
l*(l - 3)*(l + 2)*(7*l + 3)**2
Let i**4/3 - 386*i**3/3 = 0. What is i?
0, 386
Factor 5*f**5 - 45*f**4 + 110*f**3 - 160*f.
5*f*(f - 4)**2*(f - 2)*(f + 1)
Factor 5*i**5 + 24510*i**4 + 30012485*i**3 - 60098520*i**2 + 30061520*i.
5*i*(i - 1)**2*(i + 2452)**2
Factor -21*g**4 - 246*g**3 - 600*g**2 + 192*g.
-3*g*(g + 4)*(g + 8)*(7*g - 2)
Determine k so that -k**3/4 - 11*k**2/4 = 0.
-11, 0
Find q such that 3*q**3/4 + 33*q**2/4 + 27*q/2 = 0.
-9, -2, 0
Suppose 4*y**4 + 382*y**3 + 9396*y**2 + 12878*y - 8836 = 0. What is y?
-47, -2, 1/2
What is p in 2*p**3 + 26*p**2 + 24*p = 0?
-12, -1, 0
Factor 2*q**4 + 61*q**3/3 + 59*q**2/3 - 41*q/3 - 15.
(q + 1)**2*(q + 9)*(6*q - 5)/3
Factor 4*t**3 + 12*t**2 - 40*t - 96.
4*(t - 3)*(t + 2)*(t + 4)
Factor 3*j**2/5 - 621*j/5 + 246.
3*(j - 205)*(j - 2)/5
Factor 4*m**2 - 32*m + 48.
4*(m - 6)*(m - 2)
Factor -5*h**4 - 110*h**3 + 115*h**2.
-5*h**2*(h - 1)*(h + 23)
Solve 2450*p**2/9 - 3220*p/3 + 1058 = 0 for p.
69/35
Factor 2*x**3/5 + 54*x**2 + 2430*x + 36450.
2*(x + 45)**3/5
Find s such that 4*s**3 + 1200*s**2 + 120000*s + 4000000 = 0.
-100
Factor 3*q**3 - 21*q**2 - 54*q.
3*q*(q - 9)*(q + 2)
Determine b, given that 8*b**4/11 + 64*b**3/11 + 90*b**2/11 - 142*b/11 + 40/11 = 0.
-5, -4, 1/2
Factor x**2 + 276*x - 837.
(x - 3)*(x + 279)
Factor -y**2/4 + 47*y/4.
-y*(y - 47)/4
Factor j**5/5 - 3*j**4/5 - 4*j**3/5.
j**3*(j - 4)*(j + 1)/5
Find u, given that 7848*u**2/13 + 1726*u/13 - 4/13 = 0.
-2/9, 1/436
Factor 6*a**5 + 232*a**4/3 + 64*a**3.
2*a**3*(a + 12)*(9*a + 8)/3
Factor 4*h**2 + 28*h + 24.
4*(h + 1)*(h + 6)
Factor 3*a**3 + 57*a**2 + 105*a + 51.
3*(a + 1)**2*(a + 17)
Suppose -3*s**3 + 237*s**2 + 3*s - 237 = 0. Calculate s.
-1, 1, 79
Suppose 6*i**4 - 83*i**3 - 20*i**2 + 83*i + 14 = 0. Calculate i.
-1, -1/6, 1, 14
Determine l so that l**4/2 + 7*l**3/2 + 15*l**2/2 + 13*l/2 + 2 = 0.
-4, -1
Factor -10*g**2/11 + 84*g/11 - 32/11.
-2*(g - 8)*(5*g - 2)/11
Find k, given that -3*k**2 - 315*k - 312 = 0.
-104, -1
Factor -45*i**4 + 3336*i**3 - 62049*i**2 + 8214*i.
-3*i*(i - 37)**2*(15*i - 2)
What is h in -4*h**3 + 296*h**2 - 1668*h + 2448 = 0?
3, 68
Find l such that 5*l**5/3 + 34*l**4/3 + 83*l**3/3 + 82*l**2/3 + 20*l/3 - 8/3 = 0.
-2, -1, 1/5
Find i such that i**5 - 29*i**4/6 - 23*i**3 - 56*i**2/3 = 0.
-2, -7/6, 0, 8
Factor 3*v**4/8 + 3*v**3/8 - 3*v**2/2 - 3*v/2.
3*v*(v - 2)*(v + 1)*(v + 2)/8
Solve 4*s**4 - 960*s**3 + 57600*s**2 = 0.
0, 120
Factor -2*k**3/9 + 8*k**2/3 + 40*k/3 + 128/9.
-2*(k - 16)*(k + 2)**2/9
Determine t so that 12*t**3 + 99*t**2 + 108*t + 21 = 0.
-7, -1, -1/4
Factor -a**3 + a.
-a*(a - 1)*(a + 1)
Determine a, given that -3*a**3 + 21*a**2 - 18*a = 0.
0, 1, 6
Let -9*u**3 + 1155*u**2 + 773*u + 129 = 0. Calculate u.
-1/3, 129
Factor 2*k**5/7 + 10*k**4/7 - 18*k**3/7 - 26*k**2/7 + 8*k - 24/7.
2*(k - 1)**3*(k + 2)*(k + 6)/7
Determine v so that 2*v**4/3 + 80*v**3/3 - 2*v**2 - 236*v/3 + 160/3 = 0.
-40, -2, 1
Factor 738*n**2/13 - 734*n/13 - 4/13.
2*(n - 1)*(369*n + 2)/13
Solve 8*o**4/5 + 14*o**3 + 6*o**2 - 28*o + 32/5 = 0.
-8, -2, 1/4, 1
Let -4*t**3 - 12*t**2 + 16*t = 0. What is t?
-4, 0, 1
Let -2*o**4/9 - 74*o**3/9 - 334*o**2/9 - 454*o/9 - 64/3 = 0. What is o?
-32, -3, -1
Let -2*k**3 - 22*k**2 + 68*k + 208 = 0. What is k?
-13, -2, 4
Factor -2*i**2/3 - 1280*i/3 - 204800/3.
-2*(i + 320)**2/3
Suppose o**2 - 226*o = 0. Calculate o.
0, 226
Suppose 5*q**4 - 1355*q**3 - 5*q**2 + 1355*q = 0. Calculate q.
-1, 0, 1, 271
Suppose -3*s**3/5 + 1227*s**2/5 - 126072*s/5 + 124848/5 = 0. Calculate s.
1, 204
Solve -4*s**4 + 2324*s**3 - 451620*s**2 + 29650204*s - 57512456 = 0 for s.
2, 193
Let 2*k**3/3 - 230*k**2/3 + 2448*k - 13608 = 0. What is k?
7, 54
Suppose -2*j**3/9 - 46*j**2/9 + 2210*j/9 - 2162/9 = 0. Calculate j.
-47, 1, 23
Factor 2*v**3/5 - 56*v**2/5 - 58*v/5.
2*v*(v - 29)*(v + 1)/5
What is t in -2*t**2/7 + 260*t/7 - 8450/7 = 0?
65
Factor 108*u**4 + 8*u**3 - 108*u**2 - 8*u.
4*u*(u - 1)*(u + 1)*(27*u + 2)
Suppose 5*z**4 + 60*z**3 + 45*z**2 - 110*z = 0. Calculate z.
-11, -2, 0, 1
Factor -5*s**2/11 + s/11 + 42/11.
-(s - 3)*(5*s + 14)/11
Find p such that 2*p**3 - 8*p**2 - 312*p - 1152 = 0.
-6, 16
Determine r so that -4*r**4 + 224*r**3 + 228*r**2 = 0.
-1, 0, 57
Factor 2*f**2/3 - 526*f/3 - 2780.
2*(f - 278)*(f + 15)/3
Let 2*t**4/5 + 102*t**3/5 + 1346*t**2/5 + 210*t - 500 = 0. Calculate t.
-25, -2, 1
Factor -3*w**4 + 45*w**3 - 234*w**2 + 492*w - 360.
-3*(w - 6)*(w - 5)*(w - 2)**2
Determine z, given that -27*z**4/5 - 23*z**3/5 + 4*z**2/5 = 0.
-1, 0, 4/27
What is h in 2*h**4 - 8*h**3 + 2*h**2 + 12*h = 0?
-1, 0, 2, 3
Determine r so that -r**5 + 35*r**4 - 490*r**3 + 3430*r**2 - 12005*r + 16807 = 0.
7
Let 2*d**5 + 50*d**4/9 - 136*d**3/3 - 344*d**2/9 + 32*d/3 = 0. Calculate d.
-6, -1, 0, 2/9, 4
Suppose 2*a**2/19 - 400*a/19 + 20000/19 = 0. Calculate a.
100
Factor 4*i**3/7 - 10*i**2/7 - 64*i/7 + 10.
2*(i - 5)*(i - 1)*(2*i + 7)/7
Factor s**3 - 100*s**2 + 752*s - 1