4 + 102*s**3 - 148*s**2 + 97*s - 24.
(s - 24)*(s - 1)**4
Factor -2*l**2/5 - 44*l/5 - 242/5.
-2*(l + 11)**2/5
Factor 2*f**2/11 - 98*f/11 + 588/11.
2*(f - 42)*(f - 7)/11
Factor 3*d**3/2 - 75*d**2 - 1029*d/2 + 588.
3*(d - 56)*(d - 1)*(d + 7)/2
Suppose 4*c**2 + 188*c + 184 = 0. Calculate c.
-46, -1
Let 5*w**4 - 280*w**3 - 5*w**2 + 280*w = 0. Calculate w.
-1, 0, 1, 56
Let 3*k**5 + 24*k**4 + 48*k**3 - 54*k**2 - 243*k - 162 = 0. What is k?
-3, -1, 2
Find a, given that 3*a**3/5 - 3087*a**2/5 + 795672*a/5 - 792588/5 = 0.
1, 514
Let d**4 + 6*d**3 + 9*d**2 + 4*d = 0. What is d?
-4, -1, 0
Solve -19*d**4 - 48*d**3/5 + 91*d**2/5 + 48*d/5 + 4/5 = 0 for d.
-1, -2/5, -2/19, 1
Solve -v**4/7 + 10*v**3/7 - 32*v**2/7 + 32*v/7 = 0.
0, 2, 4
Suppose 32*z**3/11 + 16*z**2/11 - 6*z/11 = 0. What is z?
-3/4, 0, 1/4
Factor -2*l**2/7 - 44*l/7.
-2*l*(l + 22)/7
Factor 2*v**4/5 + 6*v**3/5 - 8*v**2/5.
2*v**2*(v - 1)*(v + 4)/5
Factor -23*a**2/9 - a/9.
-a*(23*a + 1)/9
Let -2*j**4/7 + 20*j**3/7 - 72*j**2/7 + 16*j - 64/7 = 0. What is j?
2, 4
Solve b**4/4 + b**3/2 - 3*b**2/4 - 2*b - 1 = 0.
-2, -1, 2
Factor -f**3 + 11*f**2 - 7*f - 147.
-(f - 7)**2*(f + 3)
Determine x, given that 3*x**5/4 - 39*x**4/4 - 51*x**3/2 + 39*x**2 + 90*x = 0.
-2, 0, 2, 15
Determine c so that -2*c**3/13 - 44*c**2/13 + 480*c/13 = 0.
-30, 0, 8
Factor -2*m**2/21 - 1322*m/21 - 188.
-2*(m + 3)*(m + 658)/21
What is f in -3*f**4 + 6*f**3 + 81*f**2 + 156*f + 84 = 0?
-2, -1, 7
Suppose -l**2/4 - 77*l/4 = 0. Calculate l.
-77, 0
Factor 2*f**5/5 - 108*f**4/5.
2*f**4*(f - 54)/5
Suppose 5*i**5 - 45*i**4 - 15*i**3 + 125*i**2 + 90*i = 0. Calculate i.
-1, 0, 2, 9
Determine z so that z**2/5 + 3598*z/5 + 3236401/5 = 0.
-1799
Determine z, given that -z**3/3 + 56*z**2/3 - 212*z/3 + 208/3 = 0.
2, 52
Find j, given that -80*j**4 + 116*j**3 + 56*j**2 - 116*j + 24 = 0.
-1, 1/4, 1, 6/5
Suppose -98*b**2 + 672*b - 1152 = 0. Calculate b.
24/7
Factor -j**2/3 - 415*j + 1246/3.
-(j - 1)*(j + 1246)/3
Let -5*v**3/3 - 845*v**2 - 142805*v - 24134045/3 = 0. What is v?
-169
Factor -s**3/4 - 3*s**2/4 + s + 3.
-(s - 2)*(s + 2)*(s + 3)/4
Determine s so that -2250*s**5 - 4125*s**4 + 6785*s**3 - 3085*s**2 + 545*s - 30 = 0.
-3, 1/10, 1/3, 2/5
Suppose -s**2/8 - 29*s - 1682 = 0. Calculate s.
-116
Suppose -s**4/4 + 7*s**3/4 - 15*s**2/4 + 13*s/4 - 1 = 0. What is s?
1, 4
Let g**5/3 + 41*g**4/3 + 398*g**3/3 - 482*g**2/3 - 133*g + 147 = 0. What is g?
-21, -1, 1
Determine h so that -h**4 + 5*h**3 + h**2 - 5*h = 0.
-1, 0, 1, 5
Let 5*s**4/2 - 80*s**3 + 65*s**2 + 380*s + 465/2 = 0. What is s?
-1, 3, 31
Determine q so that -20*q**5 + 48*q**4 - 16*q**3 - 40*q**2 + 36*q - 8 = 0.
-1, 2/5, 1
Factor -4*m**4 + 12*m**3 + 24*m**2 - 32*m.
-4*m*(m - 4)*(m - 1)*(m + 2)
Factor 3*t**2 - 3*t.
3*t*(t - 1)
Suppose -j**3 + 12*j**2 + 79*j + 102 = 0. Calculate j.
-3, -2, 17
Factor -2*g**3/11 + 32*g**2/11 + 2*g/11 - 32/11.
-2*(g - 16)*(g - 1)*(g + 1)/11
Determine x, given that -2*x**5 - 38*x**4 + 354*x**3 - 274*x**2 - 352*x + 312 = 0.
-26, -1, 1, 6
Let 207*c**2/7 + 1455*c/7 + 6 = 0. What is c?
-7, -2/69
Determine u so that -3*u**2 - 105*u - 450 = 0.
-30, -5
What is b in -2*b**2/5 - 344*b/5 - 14792/5 = 0?
-86
Factor 2*w**3/5 + 2*w**2/5 - 320*w + 16896/5.
2*(w - 16)**2*(w + 33)/5
Determine v, given that 4*v**5 + 2*v**4 - 12*v**3 + 2*v**2 + 4*v = 0.
-2, -1/2, 0, 1
Suppose -m**5 + 13*m**4 - 32*m**3 - 136*m**2 + 336*m + 720 = 0. What is m?
-2, 5, 6
Factor -k**5/3 - 335*k**4/3 - 9296*k**3 + 9408*k**2.
-k**2*(k - 1)*(k + 168)**2/3
Determine l so that 4107*l**3 - 8658*l**2 + 900*l - 24 = 0.
2/37, 2
Determine o, given that -196*o**3/3 + 1652*o**2/3 + 992*o/3 + 48 = 0.
-2/7, 9
Determine n, given that 3*n**3 + 903*n**2 - 12*n - 3612 = 0.
-301, -2, 2
Determine f so that -3*f**4 - 6*f**3 + 63*f**2 + 186*f + 120 = 0.
-4, -2, -1, 5
Suppose s**3/2 - 7*s**2/2 + 11*s/2 - 5/2 = 0. Calculate s.
1, 5
Factor 2*k**2 - 538*k + 1068.
2*(k - 267)*(k - 2)
Factor 4*w**2/3.
4*w**2/3
Factor -o**2 - 56*o - 784.
-(o + 28)**2
Factor -4*i**3 - 20*i**2 + 24*i.
-4*i*(i - 1)*(i + 6)
Determine o so that o**5 - 8*o**4 + 13*o**3 - 6*o**2 = 0.
0, 1, 6
Factor b**5 - 11*b**4 + 23*b**3 + 47*b**2 - 24*b - 36.
(b - 6)**2*(b - 1)*(b + 1)**2
Solve 2*k**3 + 12*k**2/5 - 18*k/5 - 4/5 = 0.
-2, -1/5, 1
Factor -2*b**2/5 + 76*b/5 - 74/5.
-2*(b - 37)*(b - 1)/5
Solve c**3/3 - 45*c**2 + 2025*c - 30375 = 0 for c.
45
Factor -2*u**2 - 146*u + 616.
-2*(u - 4)*(u + 77)
Factor o**5 + 23*o**4 + 138*o**3 + 14*o**2 - 539*o + 363.
(o - 1)**2*(o + 3)*(o + 11)**2
Find a, given that 2*a**4/3 + 8*a**3 + 92*a**2/3 + 40*a + 50/3 = 0.
-5, -1
Determine m so that 3*m**2/5 - 9*m + 30 = 0.
5, 10
Find u, given that 2*u**4 - 132*u**3 + 2042*u**2 + 4488*u + 2312 = 0.
-1, 34
Suppose -3*k**5/7 + 27*k**4/7 + 3*k**3/7 - 27*k**2/7 = 0. What is k?
-1, 0, 1, 9
Determine x so that -3*x**2/7 - 87*x/7 = 0.
-29, 0
Factor -3*r**4 - 1149*r**3 - 142659*r**2 - 5199783*r + 67442730.
-3*(r - 10)*(r + 131)**3
Let -5*f**2 + 1035*f = 0. Calculate f.
0, 207
Suppose -3*n**4 + 477*n**3 + 969*n**2 - 477*n - 966 = 0. Calculate n.
-2, -1, 1, 161
Solve -2*t**2 + 124*t - 122 = 0.
1, 61
Let 2*u**3 + 664*u**2 + 55112*u = 0. Calculate u.
-166, 0
Factor -2*m**2 - 98*m.
-2*m*(m + 49)
Let 5*l**2 - 180*l + 1620 = 0. Calculate l.
18
Solve 10*v**2 + 102*v + 20 = 0.
-10, -1/5
Factor 5*d**5 + 255*d**4 + 495*d**3 + 245*d**2.
5*d**2*(d + 1)**2*(d + 49)
Factor -i**5/5 + 42*i**4/5 - 16*i**3.
-i**3*(i - 40)*(i - 2)/5
Determine b, given that -5*b**2/2 + 3790*b + 7585/2 = 0.
-1, 1517
Factor 2*z**3/3 - 16*z**2 + 78*z + 676/3.
2*(z - 13)**2*(z + 2)/3
Suppose t**2 + 146*t + 5329 = 0. Calculate t.
-73
Let m**2 - 17*m = 0. What is m?
0, 17
Factor -2*b**2 - 2864*b - 1025312.
-2*(b + 716)**2
What is u in -3*u**4/4 - 3*u**3 + 3*u**2/4 + 3*u = 0?
-4, -1, 0, 1
Find u, given that 3*u**5 - 387*u**4 + 375*u**3 + 1167*u**2 - 1926*u + 768 = 0.
-2, 1, 128
Let -4*n**4/3 + 24*n**3 - 44*n**2/3 - 136*n = 0. What is n?
-2, 0, 3, 17
Factor -2*k**3/7 - 2780*k**2/7 - 2778*k/7.
-2*k*(k + 1)*(k + 1389)/7
Solve -2*d**5/13 + 62*d**4/13 + 748*d**3/13 + 2840*d**2/13 + 4528*d/13 + 2624/13 = 0 for d.
-4, -2, 41
Find n, given that 3*n**4 - 285*n**3 + 1638*n**2 - 3228*n + 2136 = 0.
2, 89
Determine a so that -2*a**3 + 4*a**2 + 16*a = 0.
-2, 0, 4
Let 3*h**3/5 + 231*h**2/5 + 1152*h + 9180 = 0. What is h?
-30, -17
Suppose 3*s**2 + 7422*s + 4590507 = 0. What is s?
-1237
Determine i, given that i**3/4 + 3*i**2 + 11*i/4 = 0.
-11, -1, 0
Factor v**3 + 5*v**2 + 6*v.
v*(v + 2)*(v + 3)
What is d in 15*d**4 + 789*d**3 - 318*d**2 = 0?
-53, 0, 2/5
Factor 2*t**3 + 92*t**2 + 418*t + 328.
2*(t + 1)*(t + 4)*(t + 41)
Factor -2*t**3 - 520*t**2 + 1046*t - 524.
-2*(t - 1)**2*(t + 262)
Let 6*s**4 - 932*s**3 + 3958*s**2 - 4840*s + 1208 = 0. What is s?
1/3, 2, 151
What is z in 2*z**3/7 + z**2/7 - z/7 = 0?
-1, 0, 1/2
Find s, given that -2*s**2 + 22*s + 84 = 0.
-3, 14
Suppose -s**3/2 + 3*s**2/2 + 8*s + 6 = 0. What is s?
-2, -1, 6
Suppose -3*u**3 - 4425*u**2 = 0. Calculate u.
-1475, 0
Factor -3*x**4/2 + 135*x**3/2 - 252*x**2 + 246*x.
-3*x*(x - 41)*(x - 2)**2/2
Solve -b**5/5 - 14*b**4 - 196*b**3/5 + 338*b**2/5 + 197*b/5 - 268/5 = 0 for b.
-67, -4, -1, 1
Suppose -45*w**5 - 13215*w**4 + 17755*w**3 + 16235*w**2 + 2950*w = 0. Calculate w.
-295, -1/3, 0, 2
Let -4*f**4/9 + 64*f**3/9 + 4*f**2/9 - 64*f/9 = 0. What is f?
-1, 0, 1, 16
Determine f, given that 3*f**5 + 58*f**4 - 493*f**3 + 692*f**2 - 260*f = 0.
-26, 0, 2/3, 1, 5
Factor 2*c**3/3 - 2210*c**2/3 + 609406*c/3 + 611618/3.
2*(c - 553)**2*(c + 1)/3
Suppose -5*s**4 + 125*s**3 + 270*s**2 = 0. What is s?
-2, 0, 27
Find y such that 2*y**3 + 6*y**2 - 8*y = 0.
-4, 0, 1
Let 5*g**2 - 19500*g + 19012500 = 0. What is g?
1950
Factor u**4/5 - 59*u**3/5 - 38*u**2 + 248*u/5.
u*(u - 62)*(u - 1)*(u + 4)/5
Factor 8*z**3 - 44*z**2 + 68*z - 24.
4*(z - 3)*(z - 2)*(2*z - 1)
Let 3*c**2/7 - 57*c/7 = 0. Calculate c.
0, 19
Suppose i**2/5 + 109*i/5 - 222/5 = 0. What is i?
-111, 2
Let 15*b**5 + 54*b**4 - 99*b**3 + 30*b**2 = 0. Calculate b.
-5, 0, 2/5, 1
Factor -4*f**4 + 72*f**3 - 244*f**2 + 288*f - 112.
-4*(f - 14)*(f - 2)*(f - 1)**2
Solve -48*v**5/7 - 592*v**4/7 - 2332*v**3/7 - 3072*v**2/7 + 36*v/7 + 1080/7 = 0.
-6, -3, -5/6, 1/2
Let -12*y**2 + 676*y - 224 = 0. What is y?
1/3, 56
Factor 5*p**3 - 65*p**2 + 220*p - 160.
5*(p - 8)*(p - 4)*(p - 1)
Find 