lculate w.
-1, -2/29, 1, 3
Suppose 2*n**3/9 + 8*n**2 - 344*n/9 - 320/3 = 0. Calculate n.
-40, -2, 6
Suppose 2*o**3/5 + 12*o**2/5 - 6*o + 16/5 = 0. What is o?
-8, 1
Find r, given that 5*r**2 - 100*r + 95 = 0.
1, 19
Factor -4*r**5 - 104*r**4 - 288*r**3 - 280*r**2 - 92*r.
-4*r*(r + 1)**3*(r + 23)
Determine t so that 2*t**4 + 744*t**3 + 103788*t**2 + 6434856*t + 149610402 = 0.
-93
Suppose 6*x**3 - 1065*x**2 + 531*x = 0. What is x?
0, 1/2, 177
Determine s, given that 18*s**4/19 + 1092*s**3/19 + 2810*s**2/19 + 1512*s/19 + 232/19 = 0.
-58, -2, -1/3
Find t such that -2*t**3/7 + 222*t**2/7 - 6270*t/7 + 6050/7 = 0.
1, 55
Factor 5*j**3/4 + 165*j**2/4 + 1275*j/4 - 1445/4.
5*(j - 1)*(j + 17)**2/4
Let 4*i**3 - 192*i**2 + 3072*i - 16384 = 0. What is i?
16
What is x in -x**2 - 7*x - 12 = 0?
-4, -3
Find f, given that -3*f**2/8 - 900*f - 540000 = 0.
-1200
Suppose p**4/2 - 59*p**3/2 + 115*p**2/2 - 57*p/2 = 0. Calculate p.
0, 1, 57
Solve -2*c**5/3 + 44*c**4/3 - 62*c**3 + 280*c**2/3 - 136*c/3 = 0 for c.
0, 1, 2, 17
Find b, given that -5*b**2 + 1295*b - 10040 = 0.
8, 251
Let -2*d**5/13 + 14*d**4/13 - 18*d**3/13 - 54*d**2/13 + 108*d/13 = 0. Calculate d.
-2, 0, 3
Let t**4 + 2061*t**3 + 1060899*t**2 - 1062961*t = 0. What is t?
-1031, 0, 1
Factor 2*m**2/5 + 17*m/5 - 9/5.
(m + 9)*(2*m - 1)/5
Determine x so that x**5/2 + 740*x**4 + 547599*x**3/2 - 740*x**2 - 273800*x = 0.
-740, -1, 0, 1
Suppose -3*r**3 - 48*r**2 = 0. Calculate r.
-16, 0
Solve 15*c**3/4 + 243*c**2/2 - 1341*c/4 + 210 = 0.
-35, 1, 8/5
Factor 9*w**3/5 + 39*w**2/5 + 12*w/5.
3*w*(w + 4)*(3*w + 1)/5
Factor t**3 - 184*t**2 - 752*t.
t*(t - 188)*(t + 4)
Solve -2*l**4/21 - 40*l**3/21 + 1600*l**2/21 = 0 for l.
-40, 0, 20
Determine z, given that 196*z**5/11 - 1750*z**4/11 - 3106*z**3/11 - 1328*z**2/11 - 168*z/11 = 0.
-1, -2/7, 0, 21/2
Factor b**4/4 - 29*b**3/4 + 56*b**2 - 49*b.
b*(b - 14)**2*(b - 1)/4
Factor 2*u**4/15 - 688*u**3/5 + 236672*u**2/5 - 81415168*u/15.
2*u*(u - 344)**3/15
Let 3*m**5/4 + 195*m**4/2 + 288*m**3 + 573*m**2/2 + 381*m/4 = 0. Calculate m.
-127, -1, 0
Find a, given that 4*a**3 + 2348*a**2 - 2360*a - 4704 = 0.
-588, -1, 2
Determine g so that -4*g**3 - 68*g**2 - 120*g = 0.
-15, -2, 0
Factor 2*m**3 - 2*m.
2*m*(m - 1)*(m + 1)
Factor -980*z**2 + 84*z - 9/5.
-(70*z - 3)**2/5
Factor 18*f**3 + 39*f**2 + 24*f + 3.
3*(f + 1)**2*(6*f + 1)
Find q, given that 4*q**2/7 + 26*q/7 - 2 = 0.
-7, 1/2
Let -4*r**3 - 324*r**2 + 4*r + 324 = 0. Calculate r.
-81, -1, 1
Let 2*u**3 - 20*u**2 - 46*u - 24 = 0. What is u?
-1, 12
Factor -u**3 + 13*u**2 + 205*u + 575.
-(u - 23)*(u + 5)**2
Let -2*i**2/5 + 664*i/5 - 662/5 = 0. What is i?
1, 331
Suppose 5*n**4 + 205*n**3 + 1995*n**2 - 2205*n = 0. Calculate n.
-21, 0, 1
Factor -35*c**3 + 15*c**2.
-5*c**2*(7*c - 3)
Factor 2*r**3/3 - 28*r**2/3 - 48*r.
2*r*(r - 18)*(r + 4)/3
Factor -2*x**3/13 - 70*x**2/13 + 604*x/13 + 672/13.
-2*(x - 8)*(x + 1)*(x + 42)/13
Factor z**5 + 21*z**4 + 135*z**3 + 239*z**2 - 72*z - 324.
(z - 1)*(z + 2)**2*(z + 9)**2
Factor p**2 - 66*p + 1089.
(p - 33)**2
Suppose -50*g**2 - 30*g - 9/2 = 0. What is g?
-3/10
Determine z, given that -2*z**2/3 + 1456*z/3 - 1450 = 0.
3, 725
Factor -3*j**4 + 48*j**3 + 360*j**2 - 9600*j + 42000.
-3*(j - 10)**3*(j + 14)
Factor 4*j**5/7 - 8*j**4/7.
4*j**4*(j - 2)/7
Solve 4*i**4 - 98*i**3 - 174*i**2 + 468*i = 0.
-3, 0, 3/2, 26
Factor 5*a**2 - 1495*a + 5900.
5*(a - 295)*(a - 4)
Factor -b**4/5 + b**3 - 6*b**2/5 - 4*b/5 + 8/5.
-(b - 2)**3*(b + 1)/5
Factor -p**4/3 - 14*p**3/3 - 68*p**2/3 - 130*p/3 - 25.
-(p + 1)*(p + 3)*(p + 5)**2/3
Let 4*f**5 + 23*f**4 + 3*f**3 - 189*f**2 - 351*f - 162 = 0. What is f?
-3, -2, -3/4, 3
Determine u so that -3*u**5 + 33*u**4 - 57*u**3 + 27*u**2 = 0.
0, 1, 9
Suppose -3*u**3 + 942*u**2 - 933*u - 1878 = 0. Calculate u.
-1, 2, 313
Determine l so that l**3 - l**2 = 0.
0, 1
Factor x**3 + 7*x**2 + 12*x.
x*(x + 3)*(x + 4)
Let -32*m**5/9 + 92*m**4/9 + 50*m**3/3 - 340*m**2/9 + 22*m/9 + 12 = 0. Calculate m.
-2, -1/2, 1, 27/8
Factor -6*a**5 + 164*a**4 - 1512*a**3 + 4860*a**2 - 1458*a.
-2*a*(a - 9)**3*(3*a - 1)
Factor 6*y**2 - 61*y + 10.
(y - 10)*(6*y - 1)
Factor 2*y**3/5 + 44*y**2/5 + 82*y/5 + 8.
2*(y + 1)**2*(y + 20)/5
Determine t so that -3*t**3/4 - 5*t**2/4 + 3*t/2 + 2 = 0.
-2, -1, 4/3
Let 4*u**3 + 1464*u**2 - 1468*u = 0. Calculate u.
-367, 0, 1
Factor -o**4 + 94*o**3 - 184*o**2.
-o**2*(o - 92)*(o - 2)
Factor -4*z**3 - 1544*z**2 - 1532*z + 3080.
-4*(z - 1)*(z + 2)*(z + 385)
Factor -33*r**3/5 + 42*r**2 - 321*r/5 + 144/5.
-3*(r - 1)**2*(11*r - 48)/5
Let 2*u**4 - 28*u**3 - 2*u**2 + 28*u = 0. Calculate u.
-1, 0, 1, 14
Let j**4/7 + 228*j**3/7 - 230*j**2/7 - 228*j/7 + 229/7 = 0. Calculate j.
-229, -1, 1
Let 2*b**2/3 + 10*b/3 + 8/3 = 0. What is b?
-4, -1
Factor -2*q**5/11 - 14*q**4/11 - 30*q**3/11 - 18*q**2/11.
-2*q**2*(q + 1)*(q + 3)**2/11
Factor k**2/4 - 77*k/4 - 81.
(k - 81)*(k + 4)/4
Find p, given that 3*p**4 + 12*p**3 - 9*p**2 - 30*p + 24 = 0.
-4, -2, 1
Factor -3*p**3 - 309*p**2 - 900*p.
-3*p*(p + 3)*(p + 100)
Factor 18*k**2/11 - 1264*k/11 + 280/11.
2*(k - 70)*(9*k - 2)/11
Let 3*q**2/5 + 84*q/5 - 36 = 0. What is q?
-30, 2
Factor -k**4 - 9*k**3 + 85*k**2 - 75*k.
-k*(k - 5)*(k - 1)*(k + 15)
Factor -2*o**2/15 + 224*o - 94080.
-2*(o - 840)**2/15
Factor -20*x**4 - 28*x**3 + 4*x**2 + 12*x.
-4*x*(x + 1)**2*(5*x - 3)
Factor -2*y**3/11 - 10*y**2/11 + 2*y/11 + 10/11.
-2*(y - 1)*(y + 1)*(y + 5)/11
Factor -2*l**4/5 + 244*l**3/5 - 7682*l**2/5 + 2928*l - 1440.
-2*(l - 60)**2*(l - 1)**2/5
Let -4*v**3 + 216*v**2 = 0. Calculate v.
0, 54
Factor -2*i**5/3 + 2*i**4/3 + 2*i**3/3 - 2*i**2/3.
-2*i**2*(i - 1)**2*(i + 1)/3
Let -h**2 - 902*h - 203401 = 0. What is h?
-451
Solve h**3/3 + 13*h**2/3 - 30*h = 0 for h.
-18, 0, 5
Suppose 8*h**5/5 - 198*h**4/5 + 1294*h**3/5 - 816*h**2/5 - 288*h/5 = 0. What is h?
-1/4, 0, 1, 12
Factor -w**4 - 3*w**3 + 5*w**2 + 3*w - 4.
-(w - 1)**2*(w + 1)*(w + 4)
Factor -f**4/5 - 2*f**3/5 + f**2/5 + 2*f/5.
-f*(f - 1)*(f + 1)*(f + 2)/5
Find a such that -3*a**2 - 534*a + 537 = 0.
-179, 1
Solve q**4/10 - 11*q**3/10 - 11*q**2/5 + 208*q/5 - 192/5 = 0.
-6, 1, 8
Let 8*h**4 - 262*h**3 + 190*h**2 + 64*h = 0. What is h?
-1/4, 0, 1, 32
Factor z**3 + 58*z**2 + 113*z + 56.
(z + 1)**2*(z + 56)
Factor 5*n**4 + 75*n**3 - 570*n**2 + 1220*n - 840.
5*(n - 2)**3*(n + 21)
Factor -4*l**4 - 3216*l**3 - 868224*l**2 - 80378816*l - 451706304.
-4*(l + 6)*(l + 266)**3
Factor -162*n**3/11 - 234*n**2/11 - 80*n/11 - 8/11.
-2*(n + 1)*(9*n + 2)**2/11
Factor -169*m**2/9 + 156*m - 324.
-(13*m - 54)**2/9
Factor 2*s**4/23 - 32*s**3/23 - 292*s**2/23 + 3360*s/23 + 22050/23.
2*(s - 15)**2*(s + 7)**2/23
Suppose -5*f**4 + 2785*f**3 - 386405*f**2 - 394785*f + 778410 = 0. What is f?
-2, 1, 279
Factor -g**4/4 - 12*g**3 + 675*g**2/4 - 1325*g/2 + 750.
-(g - 5)**2*(g - 2)*(g + 60)/4
Factor -3*f**4 - 348*f**3 - 7362*f**2 + 158340*f - 621075.
-3*(f - 7)**2*(f + 65)**2
Factor 20*o**3 - 2*o**2.
2*o**2*(10*o - 1)
Factor 2*f**3 - 464*f**2 + 27816*f - 103968.
2*(f - 114)**2*(f - 4)
Factor 4*f**5/9 - 88*f**4/9 + 560*f**3/9 - 800*f**2/9.
4*f**2*(f - 10)**2*(f - 2)/9
Suppose -9*x**3 + 102*x**2 + 324*x + 168 = 0. What is x?
-2, -2/3, 14
Suppose 8*s**4/7 - 54*s**3/7 - 26*s**2 + 174*s/7 + 54/7 = 0. What is s?
-3, -1/4, 1, 9
Solve u**3/6 - 71*u**2/6 + 23*u = 0.
0, 2, 69
Determine g, given that 5*g**3 - 60*g + 80 = 0.
-4, 2
Solve -y**3 - 5*y**2 - 2*y + 8 = 0.
-4, -2, 1
Solve 6*v**3 - 2996*v**2 - 2000*v = 0.
-2/3, 0, 500
Suppose 16*m**3 + 9292*m**2 - 2324*m = 0. Calculate m.
-581, 0, 1/4
Factor -q**2 + 989*q + 1982.
-(q - 991)*(q + 2)
Factor f**3/3 - 428*f**2/3 - f/3 + 428/3.
(f - 428)*(f - 1)*(f + 1)/3
Find l such that -16*l**4 + 50*l**3 - 6*l**2 = 0.
0, 1/8, 3
What is j in -4*j**2 + 436*j = 0?
0, 109
Factor -5*z**3/6 + 557*z**2 + 2009*z/6 - 223.
-(z - 669)*(z + 1)*(5*z - 2)/6
Factor o**5 + 6*o**4 + 4*o**3 - 6*o**2 - 5*o.
o*(o - 1)*(o + 1)**2*(o + 5)
Factor 2*i**5/3 - 2*i**4 + 8*i**2/3.
2*i**2*(i - 2)**2*(i + 1)/3
Factor 2*q**3/7 - 12*q**2/7 + 64/7.
2*(q - 4)**2*(q + 2)/7
Determine g so that -g**3 + 4*g**2 - 5*g + 2 = 0.
1, 2
Factor -b**2/4 + 22*b + 465/4.
-(b - 93)*(b + 5)/4
Factor -4*k**5/5 - 12*k**4/5 - 8*k**3/5 + 8*k**2/5 + 12*k/5 + 4/5.
-4*(k - 1)*(k + 1)**4/5
Let -5*a**4 + 270*a**3 - 3900*a**2 + 6760*a = 0. What is a?
0, 2, 26
Factor -5*k**4 - 90*k**3 - 365*k**2 - 540*k - 2