g**5 + 20*g**4 - 32*g**3 - 192*g**2 = 0. Calculate g.
-4, 0, 3
Factor 4*r**2/3 - 32*r/3.
4*r*(r - 8)/3
Suppose 2*g**3 + 3998*g**2 = 0. What is g?
-1999, 0
Factor 4*o**4 + 308*o**3 - 312*o**2.
4*o**2*(o - 1)*(o + 78)
Factor 3*w**4/2 - 3*w**3/2.
3*w**3*(w - 1)/2
Suppose -d**2/5 - 77*d/5 + 78/5 = 0. Calculate d.
-78, 1
Factor -2*i**4/7 + 38*i**3/7 - 160*i**2/7 - 200*i/7.
-2*i*(i - 10)**2*(i + 1)/7
Factor 4*m**2/3 + 4072*m/3 + 1356.
4*(m + 1)*(m + 1017)/3
Suppose 5*t**2 + 405*t + 400 = 0. What is t?
-80, -1
Solve t**2 - 5*t - 24 = 0.
-3, 8
Factor 2*s**4/9 + 10*s**3/9 - 14*s**2/3 - 106*s/9 - 56/9.
2*(s - 4)*(s + 1)**2*(s + 7)/9
Factor 2*b**4 + 1358*b**3 + 231198*b**2 + 229842*b.
2*b*(b + 1)*(b + 339)**2
Find h, given that -2*h**2/13 + 104*h - 1350/13 = 0.
1, 675
Factor -2*l**2/5 + 604*l/5 - 1794/5.
-2*(l - 299)*(l - 3)/5
Factor -5*s**4 + 455*s**3 - 450*s**2.
-5*s**2*(s - 90)*(s - 1)
Solve 4*q**4 + 384*q**3 + 1128*q**2 + 1120*q + 372 = 0.
-93, -1
Factor -2*k**5/7 + 300*k**4/7 - 10320*k**3/7 - 69280*k**2/7 - 143520*k/7 - 97344/7.
-2*(k - 78)**2*(k + 2)**3/7
Suppose 2*c**3/9 + 26*c**2/3 - 248*c/9 + 56/3 = 0. Calculate c.
-42, 1, 2
Determine q so that -250*q**5 - 4900*q**4 - 35280*q**3 - 111132*q**2 - 129654*q = 0.
-7, -21/5, 0
Factor -4*r**4 + 52*r**3 + 336*r**2 + 432*r.
-4*r*(r - 18)*(r + 2)*(r + 3)
Factor -2*t**3 - 88*t**2/7 - 150*t/7 - 36/7.
-2*(t + 3)**2*(7*t + 2)/7
Let -3*n**5 - 21*n**4 - 54*n**3 - 60*n**2 - 24*n = 0. Calculate n.
-2, -1, 0
Factor -k**3/4 - 53*k**2/4 - 120*k + 1575.
-(k - 7)*(k + 30)**2/4
Factor 18*s**3 + 328*s**2 + 1242*s + 260.
2*(s + 5)*(s + 13)*(9*s + 2)
Factor 5*k**4 - 10*k**3 - 375*k**2 + 2000*k - 2500.
5*(k - 5)**2*(k - 2)*(k + 10)
Factor -2*x**2/3 + 1442*x/3 + 1444/3.
-2*(x - 722)*(x + 1)/3
Find f, given that -5*f**4 - 30*f**3 - 65*f**2 - 60*f - 20 = 0.
-2, -1
Factor 5*d**3 - 30*d**2 - 125*d - 90.
5*(d - 9)*(d + 1)*(d + 2)
Determine a so that 4*a**2/7 + 3984*a/7 = 0.
-996, 0
Factor 2*i**2 + 68*i.
2*i*(i + 34)
Let -4*i**5 - 24*i**4 + 4*i**3 + 24*i**2 = 0. What is i?
-6, -1, 0, 1
Factor 3*c**2 - 144*c + 276.
3*(c - 46)*(c - 2)
Find s such that s**3/6 + s**2/3 - 4*s/3 = 0.
-4, 0, 2
Suppose 2*v**2 - 638*v - 3240 = 0. What is v?
-5, 324
Solve -45*c**5 + 235*c**4 - 275*c**3 - 175*c**2 + 320*c - 60 = 0.
-1, 2/9, 1, 2, 3
Factor -s**5/3 + 5*s**4/3 - 7*s**3/3 + s**2.
-s**2*(s - 3)*(s - 1)**2/3
Let -2*j**2 + 12*j + 14 = 0. What is j?
-1, 7
Factor -2*x**5/3 - 4*x**4 - 8*x**3 - 20*x**2/3 - 2*x.
-2*x*(x + 1)**3*(x + 3)/3
Factor -d**3 - 37*d**2 - 36*d.
-d*(d + 1)*(d + 36)
Factor -r**5/3 - 31*r**4/3 - 29*r**3 - 85*r**2/3 - 28*r/3.
-r*(r + 1)**3*(r + 28)/3
Determine s, given that 9409*s**4/7 - 18430*s**3/7 + 8637*s**2/7 + 380*s/7 + 4/7 = 0.
-2/97, 1
Find f such that -2*f**5/11 + 26*f**4/11 - 24*f**3/11 = 0.
0, 1, 12
Determine q so that 9*q**4 + 114*q**3 - 165*q**2 + 42*q = 0.
-14, 0, 1/3, 1
Factor 273*g**3/8 + 15*g**2 + 3*g/2.
3*g*(7*g + 2)*(13*g + 2)/8
Find p such that p**2/4 - 15*p/2 + 29/4 = 0.
1, 29
Factor 3*w**2 - 882*w + 64827.
3*(w - 147)**2
Find q, given that -21*q**3/2 - 27*q**2/2 + 18*q + 6 = 0.
-2, -2/7, 1
Let 3*u**2/5 - 417*u/5 + 414/5 = 0. What is u?
1, 138
What is z in 2*z**4/13 - 28*z**3/13 + 136*z**2/13 - 20*z + 150/13 = 0?
1, 3, 5
Factor w**4 + 70*w**3 + 1408*w**2 + 6144*w.
w*(w + 6)*(w + 32)**2
Factor a**5 + 5*a**4 - a**3 - 5*a**2.
a**2*(a - 1)*(a + 1)*(a + 5)
Factor 3*v**4 - 171*v**3 + 168*v**2.
3*v**2*(v - 56)*(v - 1)
Factor 2*g**3 - 8*g**2 - 24*g.
2*g*(g - 6)*(g + 2)
Determine s so that -4*s**5 - 4*s**4 + 100*s**3 + 148*s**2 - 240*s = 0.
-4, -3, 0, 1, 5
What is k in 397488*k**4/5 - 1453088*k**3/5 + 778972*k**2/5 + 8692*k/5 + 24/5 = 0?
-1/182, 2/3, 3
Solve -5*b**3 + 3560*b**2 - 637225*b + 1260250 = 0.
2, 355
Solve 2*j**3 + 14*j**2 - 362*j - 374 = 0 for j.
-17, -1, 11
Solve -k**4/4 + 35*k**3/2 - 1357*k**2/4 + 1155*k - 1089 = 0 for k.
2, 33
Determine o, given that 2*o**4/3 + 62*o**3/3 + 14*o**2 - 186*o - 180 = 0.
-30, -3, -1, 3
Suppose 2*n**4 + 62*n**3 - 96*n**2 - 3232*n - 7936 = 0. Calculate n.
-31, -4, 8
Let 21*s**3/8 - 213*s**2/4 + 555*s/2 - 75 = 0. Calculate s.
2/7, 10
Suppose -7*z**3 - 61*z**2 + 88*z - 20 = 0. What is z?
-10, 2/7, 1
Factor -6*s**3/11 + 102*s**2/11 + 348*s/11 + 240/11.
-6*(s - 20)*(s + 1)*(s + 2)/11
Determine h, given that 22*h**3/5 - 402*h**2/5 + 378*h - 486/5 = 0.
3/11, 9
Let 2*w**4/7 - 106*w**3 - 5262*w**2/7 - 11322*w/7 - 972 = 0. Calculate w.
-3, -1, 378
Factor 2*n**4 + 4*n**3 - 64*n**2 + 60*n + 126.
2*(n - 3)**2*(n + 1)*(n + 7)
Factor 2*b**2 - 1248*b + 194688.
2*(b - 312)**2
Let -h**4/7 + 8*h**3/7 - 3*h**2 + 22*h/7 - 8/7 = 0. What is h?
1, 2, 4
Find m, given that 9*m**5 - 141*m**4 + 756*m**3 - 1632*m**2 + 1440*m - 432 = 0.
2/3, 1, 2, 6
Find v, given that -25*v**5 + 130*v**4 + 1140*v**3 - 6120*v**2 = 0.
-34/5, 0, 6
Solve -162*m**4/5 + 198*m**3/5 + 286*m**2/5 - 14*m + 4/5 = 0 for m.
-1, 1/9, 2
Solve -u**3/4 - 7*u**2/4 - 5*u/2 = 0.
-5, -2, 0
Factor -n**3/10 - 11*n**2/10 + 52*n/5 + 192/5.
-(n - 8)*(n + 3)*(n + 16)/10
Factor -2*g**3/15 - 484*g**2/5 - 117128*g/5 - 28344976/15.
-2*(g + 242)**3/15
Determine d so that -5*d**2 + 520*d - 515 = 0.
1, 103
Solve -3*j**2/7 + 570*j/7 = 0.
0, 190
What is s in 10*s**3 + 8*s**2 - 2*s = 0?
-1, 0, 1/5
Solve b**2/3 + 38*b/3 + 24 = 0 for b.
-36, -2
Let 2*h**5/9 + 20*h**4/9 - 4*h**3/3 - 104*h**2/9 + 154*h/9 - 20/3 = 0. Calculate h.
-10, -3, 1
Find m, given that -m**5 + 33*m**4 - 63*m**3 + 31*m**2 = 0.
0, 1, 31
Find b, given that -4*b**4/5 - 56*b**3/5 - 244*b**2/5 - 336*b/5 - 144/5 = 0.
-6, -1
Factor 3*z**5 - 21*z**4 + 39*z**3 + 9*z**2 - 54*z.
3*z*(z - 3)**2*(z - 2)*(z + 1)
Factor -i**3/2 + 102*i**2 - 6936*i + 157216.
-(i - 68)**3/2
Factor -z**3 + 9*z**2 - 15*z + 7.
-(z - 7)*(z - 1)**2
Factor -2*g**2/17 + 212*g/17 - 210/17.
-2*(g - 105)*(g - 1)/17
Suppose j**5 + 11*j**4 + 40*j**3 + 48*j**2 = 0. What is j?
-4, -3, 0
Factor -2*u**3 - 784*u**2 - 76042*u + 155236.
-2*(u - 2)*(u + 197)**2
Find w such that 3*w**3 + 15*w**2 + 24*w + 12 = 0.
-2, -1
Let 5*l**2 - 205*l + 900 = 0. What is l?
5, 36
Factor -2*h**4 + 38*h**3 - 96*h**2.
-2*h**2*(h - 16)*(h - 3)
Suppose -7*p**3/2 + 67*p**2/2 - 117*p/2 - 63/2 = 0. Calculate p.
-3/7, 3, 7
Factor -20*q**4 - 25*q**3 + 35*q**2 + 10*q.
-5*q*(q - 1)*(q + 2)*(4*q + 1)
Solve -p**2/2 + 542*p + 1085/2 = 0 for p.
-1, 1085
Find b such that 2*b**5/13 - 24*b**4/13 - 166*b**3/13 - 84*b**2/13 + 272*b/13 = 0.
-4, -2, 0, 1, 17
Factor -17*y**3 + 10*y**2/3.
-y**2*(51*y - 10)/3
Factor -3*y**4/5 - 1839*y**3/5.
-3*y**3*(y + 613)/5
Determine z, given that 2*z**3/17 + 534*z**2/17 + 35910*z/17 + 35378/17 = 0.
-133, -1
What is v in v**3/4 - 17*v**2/2 + 181*v/4 + 54 = 0?
-1, 8, 27
Factor -4*h**4 + 169*h**3 - 206*h**2 + 41*h.
-h*(h - 41)*(h - 1)*(4*h - 1)
Suppose -5*h**5 + 140*h**4 - 820*h**3 - 2390*h**2 + 825*h + 2250 = 0. What is h?
-2, -1, 1, 15
Factor 2*h**2/5 - 1362*h/5 + 272.
2*(h - 680)*(h - 1)/5
Let c**3/4 - 180*c**2 + 43200*c - 3456000 = 0. What is c?
240
Factor 2*m**4/7 + 6*m**3/7 - 20*m**2/7.
2*m**2*(m - 2)*(m + 5)/7
Factor -2*v**4/3 - 1384*v**3/3 - 79348*v**2 + 480248*v/3 - 240818/3.
-2*(v - 1)**2*(v + 347)**2/3
Let 4802*x**3/9 + 392*x**2/9 + 8*x/9 = 0. Calculate x.
-2/49, 0
Suppose -4*u**2 - 72*u - 128 = 0. What is u?
-16, -2
Solve -4*m**3/3 - m**2/3 + 6*m = 0.
-9/4, 0, 2
Factor -3*k**2/4 + 1209*k - 487227.
-3*(k - 806)**2/4
Factor 5*y**4 + 55*y**3 + 180*y**2 + 80*y - 320.
5*(y - 1)*(y + 4)**3
Factor -4*o**3/9 - 116*o**2/3 + 804*o + 843932/9.
-4*(o - 47)*(o + 67)**2/9
Suppose y**5 + 10*y**4 + 37*y**3 + 64*y**2 + 52*y + 16 = 0. Calculate y.
-4, -2, -1
Factor 4*f**2 + 4*f - 24.
4*(f - 2)*(f + 3)
Factor 3*o**3 - 312*o**2 + 612*o.
3*o*(o - 102)*(o - 2)
Solve 4*h**5 - 136*h**4 + 1156*h**3 = 0 for h.
0, 17
Let 4*p**5/7 + 73*p**4/7 + 374*p**3/7 + 377*p**2/7 - 648*p/7 - 180/7 = 0. What is p?
-10, -6, -3, -1/4, 1
Suppose -s**2 + 143*s - 2662 = 0. Calculate s.
22, 121
Determine o so that -3*o**3 + 102*o**2 - 369*o + 270 = 0.
1, 3, 30
Factor 3*g**4 - 30*g**3 + 96*g**2 - 114*g + 45.
3*(g - 5)*(g - 3)*(g - 1)**2
Factor 4*k**2/3 + 180*k - 1096/3.
4*(k - 2)*(k + 137)/3
Factor 2*v**4/15 + 2*v**3/15 - 4*v**2/3 + 16*v/15.
2*v*(v - 2)*(v - 1)*(v + 4)/15
Suppose -5*z**3 + 1142*z**2 - 63104*z - 242208 = 0. What is z?
-18/5, 116
Determine u so that 2*u**5/3 + 16*u**4/3