+ 27951.
(j - 84)*(j - 11)**3/4
Determine y, given that y**4/2 - 37*y**3/4 + 45*y**2 - 81*y/4 = 0.
0, 1/2, 9
Find p, given that 3*p**4 + 96*p**3 + 159*p**2 - 618*p + 360 = 0.
-30, -4, 1
Factor v**5 - 4*v**4 - 14*v**3 + 56*v**2 - 59*v + 20.
(v - 5)*(v - 1)**3*(v + 4)
Suppose o**3 - 1227*o**2 + 501843*o - 68417929 = 0. Calculate o.
409
Solve 4*s**4 + 36*s**3 - 60*s**2 - 212*s - 120 = 0.
-10, -1, 3
Factor u**4 + 8*u**3 - 9*u**2.
u**2*(u - 1)*(u + 9)
What is m in 4*m**4 + 80*m**3 + 424*m**2 + 816*m + 468 = 0?
-13, -3, -1
Factor 20*n**2 - 92*n - 40.
4*(n - 5)*(5*n + 2)
Factor v**5/4 - 5*v**4/4 + 7*v**3/4 - 3*v**2/4.
v**2*(v - 3)*(v - 1)**2/4
Factor 2*z**3/5 + 204*z**2/5 - 414*z/5 + 208/5.
2*(z - 1)**2*(z + 104)/5
Factor -5*n**5 - 3710*n**4 - 691905*n**3 - 1372700*n**2 - 684500*n.
-5*n*(n + 1)**2*(n + 370)**2
Factor -u**3 - 149*u**2/3 - 373*u/3 + 47.
-(u + 3)*(u + 47)*(3*u - 1)/3
Factor -425*s**3 + 860*s**2 + 1255*s - 30.
-5*(s - 3)*(s + 1)*(85*s - 2)
Factor 14*r**5 - 60*r**4 - 236*r**3 - 208*r**2 - 18*r + 28.
2*(r - 7)*(r + 1)**3*(7*r - 2)
Determine x so that -7*x**2/2 - 13*x/2 + 1 = 0.
-2, 1/7
Solve -4*l**3/3 - 88*l**2/3 - 20*l + 168 = 0 for l.
-21, -3, 2
Factor -2*f**4 - 6*f**3 - 6*f**2 - 2*f.
-2*f*(f + 1)**3
Let -3*c**4 - 444*c**3 - 2166*c**2 - 3012*c - 1287 = 0. What is c?
-143, -3, -1
Factor 3*k**3 - 3564*k**2 + 1411344*k - 186297408.
3*(k - 396)**3
Factor -4*p**2/3 + 23*p/6 + 1/2.
-(p - 3)*(8*p + 1)/6
Factor -j**5 + 71*j**4 + 150*j**3 - 284*j**2 - 584*j.
-j*(j - 73)*(j - 2)*(j + 2)**2
Find b, given that 2*b**5 - 18*b**4 - 34*b**3 + 138*b**2 + 32*b - 120 = 0.
-3, -1, 1, 2, 10
Find v, given that -4*v**5 - 77*v**4 - 247*v**3 + 1219*v**2 - 649*v - 242 = 0.
-11, -1/4, 1, 2
Suppose 2*l**4/3 - 110*l**3 + 432*l**2 - 1288*l/3 = 0. What is l?
0, 2, 161
Factor t**2 - 89*t + 88.
(t - 88)*(t - 1)
Factor c**2/4 + 5*c/2 - 11/4.
(c - 1)*(c + 11)/4
Solve 28*w**3 + 162*w**2 + 216*w - 54 = 0 for w.
-3, 3/14
Factor 5*m**4/3 - 98*m**3/3 + 460*m**2/3 + 200*m/3.
m*(m - 10)**2*(5*m + 2)/3
Determine p, given that -p**3/5 + 28*p**2/5 - 48*p + 576/5 = 0.
4, 12
Factor -2*b**3 - 4*b**2 + 16*b.
-2*b*(b - 2)*(b + 4)
Factor 25*q**2/2 - 480*q + 190.
5*(q - 38)*(5*q - 2)/2
Factor 3*n**4 - 27*n**3 - 12*n**2 + 108*n.
3*n*(n - 9)*(n - 2)*(n + 2)
Factor -3*q**3/7 + 12*q**2/7 + 15*q/7.
-3*q*(q - 5)*(q + 1)/7
Factor 2*d**4/3 - 10*d**3 - 22*d**2 - 34*d/3.
2*d*(d - 17)*(d + 1)**2/3
Let -4*b**5/3 - 80*b**4/3 - 92*b**3 - 328*b**2/3 - 128*b/3 = 0. What is b?
-16, -2, -1, 0
Let 2*k**3/3 - 740*k**2/9 + 326*k/3 - 244/9 = 0. What is k?
1/3, 1, 122
Solve 2*c**3 + 8*c**2 + 6*c = 0.
-3, -1, 0
Factor -13*r**5/5 - 17*r**4/5 - 4*r**3/5.
-r**3*(r + 1)*(13*r + 4)/5
Factor -o**3/3 - 13*o**2/3 - 26*o/3 + 112/3.
-(o - 2)*(o + 7)*(o + 8)/3
Suppose -2*n**4 - 845*n**3 + 1272*n**2 - n - 424 = 0. What is n?
-424, -1/2, 1
Determine s so that s**2 - 17*s + 60 = 0.
5, 12
Factor -h**4 + h**2.
-h**2*(h - 1)*(h + 1)
What is v in -v**4/3 - 11*v**3/3 + 40*v**2/3 + 704*v/3 + 512 = 0?
-8, -3, 8
Factor -j**3/8 + 199*j**2/8 + 25*j.
-j*(j - 200)*(j + 1)/8
Find k, given that -3*k**2 - 747*k - 2214 = 0.
-246, -3
Factor m**4/3 - m**3/3 - 32*m**2/3 + 20*m.
m*(m - 5)*(m - 2)*(m + 6)/3
Factor -q**3/4 + q**2/4 + q/4 - 1/4.
-(q - 1)**2*(q + 1)/4
Factor -13*b**2/4 - 21*b/2.
-b*(13*b + 42)/4
Solve -3*a**5 + 321*a**4 - 8409*a**3 - 10377*a**2 + 44712*a - 26244 = 0 for a.
-3, 1, 54
Find j, given that 12*j**4 + 231*j**3 - 207*j**2 - 546*j - 120 = 0.
-20, -1, -1/4, 2
Factor 4*f**2/3 - 28*f - 528.
4*(f - 33)*(f + 12)/3
Factor -5*w**4/2 - 1905*w**3/2 - 180495*w**2/2 + 182405*w/2.
-5*w*(w - 1)*(w + 191)**2/2
What is m in 3*m**4 + 12*m**3 + 9*m**2 = 0?
-3, -1, 0
Solve 3*h**3/5 - 18*h**2/5 + 27*h/5 = 0.
0, 3
Solve -2*v**3/15 - 32*v**2/15 + 8*v/15 + 128/15 = 0 for v.
-16, -2, 2
Suppose -5*v**5/3 + 395*v**4/3 - 2930*v**3/3 + 2130*v**2 + 45*v - 3195 = 0. Calculate v.
-1, 3, 71
Factor -11*i**4/7 - 19*i**3/7 - 5*i**2/7 + 3*i/7.
-i*(i + 1)**2*(11*i - 3)/7
Solve 2541*f**3 - 3531*f**2 + 120*f + 900 = 0.
-3/7, 10/11
Factor -3*p**3 + 13*p**2 - 18*p + 8.
-(p - 2)*(p - 1)*(3*p - 4)
Factor 2*y**3/5 - 52*y**2/5 + 384*y/5 - 576/5.
2*(y - 12)**2*(y - 2)/5
Factor 3*u**4 - 12*u**3 - 114*u**2 - 180*u - 81.
3*(u - 9)*(u + 1)**2*(u + 3)
Factor -3*w**2 + 324*w - 2400.
-3*(w - 100)*(w - 8)
Determine d, given that 4*d**2 + 10776*d + 7257636 = 0.
-1347
Determine m, given that 74*m**3/5 - 78*m**2/5 - 144*m/5 + 8/5 = 0.
-1, 2/37, 2
Factor 5*t**4 - 10*t**3 - 20*t**2 + 40*t.
5*t*(t - 2)**2*(t + 2)
Find d, given that d**4 - 10*d**3 + 12*d**2 + 72*d = 0.
-2, 0, 6
Let 2*k**5/7 - 116*k**4/7 + 642*k**3/7 - 944*k**2/7 + 416*k/7 = 0. What is k?
0, 1, 4, 52
Determine y so that 6*y**2 - 17242*y + 11492 = 0.
2/3, 2873
Factor y**4/2 + 13*y**3/2 + 47*y**2/2 + 35*y/2.
y*(y + 1)*(y + 5)*(y + 7)/2
Factor 2*k**3/21 - 898*k**2/21 + 14464*k/3 - 14336/3.
2*(k - 224)**2*(k - 1)/21
Solve -4*o**4/3 + 4*o**3/9 + 68*o**2/9 + 76*o/9 + 8/3 = 0.
-1, -2/3, 3
Suppose v**2/3 - 214*v/3 - 215/3 = 0. What is v?
-1, 215
Let -2*p**5/7 - 26*p**4/7 + 34*p**3/7 + 74*p**2/7 - 136*p/7 + 8 = 0. Calculate p.
-14, -2, 1
Factor -a**2/8 - 583*a/2 - 339889/2.
-(a + 1166)**2/8
Factor -2*w**2/13 - 132*w/13 - 2178/13.
-2*(w + 33)**2/13
Let 2*a**2/5 - 184*a/5 + 3584/5 = 0. Calculate a.
28, 64
Factor -p**3/5 - 57*p**2/5 - 671*p/5 - 123.
-(p + 1)*(p + 15)*(p + 41)/5
Determine r so that r**2/6 - 172*r/3 + 341/2 = 0.
3, 341
What is w in -2*w**2 - 868*w + 870 = 0?
-435, 1
Factor 2*q**4/3 - 28*q**3/3 + 48*q**2 - 108*q + 90.
2*(q - 5)*(q - 3)**3/3
Solve -2*u**4/21 + 506*u**3/21 = 0 for u.
0, 253
Determine a so that 4*a**4 - 132*a**3 - 2036*a**2 + 4452*a - 2288 = 0.
-13, 1, 44
Factor -2*t**5 + 34*t**4 - 182*t**3 + 294*t**2.
-2*t**2*(t - 7)**2*(t - 3)
Let -2*s**5/3 - 70*s**4/3 - 36*s**3 + 2488*s**2/3 - 6256*s/3 + 1536 = 0. Calculate s.
-32, -9, 2
Factor 2*v**3/15 - 4*v**2/5 - 176*v/15 + 128/5.
2*(v - 12)*(v - 2)*(v + 8)/15
Factor -5*k**4 + 330*k**3 - 2685*k**2 + 6920*k - 4560.
-5*(k - 57)*(k - 4)**2*(k - 1)
Solve 4*m**3/7 - 128*m**2/7 - 132*m/7 = 0 for m.
-1, 0, 33
Factor 4*h**2 + 92*h + 304.
4*(h + 4)*(h + 19)
Factor -s**4 - 383*s**3 - 36480*s**2 + 36864*s.
-s*(s - 1)*(s + 192)**2
Find c such that -12*c**5 - 87*c**4 - 9*c**3 + 87*c**2 + 21*c = 0.
-7, -1, -1/4, 0, 1
Let 2*f**3/5 - 14*f**2/5 - 34*f/5 - 18/5 = 0. Calculate f.
-1, 9
Let -20*p**4 + 176*p**3 - 308*p**2 - 216*p + 288 = 0. What is p?
-1, 4/5, 3, 6
Let q**3 - 9*q**2/2 + 6*q - 2 = 0. What is q?
1/2, 2
Suppose -6*w**5/5 + 23*w**4/5 + 166*w**3/5 - 184*w**2 + 1184*w/5 - 384/5 = 0. What is w?
-6, 1/2, 4/3, 4
Find n, given that 2*n**3/3 + 404*n**2/3 = 0.
-202, 0
Suppose -2*x**5/11 - 84*x**4/11 - 786*x**3/11 + 200*x**2 + 264*x = 0. What is x?
-22, -1, 0, 3
Find t such that -t**5/6 - t**4/2 + 11*t**3/2 - 53*t**2/6 + 4*t = 0.
-8, 0, 1, 3
Suppose -24*c**2 + 87*c + 36 = 0. Calculate c.
-3/8, 4
Suppose -4*n**5/5 - 48*n**4/5 - 9*n**3 - 11*n**2/5 = 0. What is n?
-11, -1/2, 0
Let -2*v**4/7 - 100*v**3 + 1406*v**2/7 - 704*v/7 = 0. What is v?
-352, 0, 1
Determine z, given that -z**5/11 + 6*z**4/11 - 9*z**3/11 + 4*z**2/11 = 0.
0, 1, 4
Factor 2*f**3/21 - 8*f**2/7 - 96*f/7 - 640/21.
2*(f - 20)*(f + 4)**2/21
What is o in -3*o**3 + 162*o**2 - 585*o - 750 = 0?
-1, 5, 50
Suppose -c**2/2 + 105*c/2 - 153 = 0. What is c?
3, 102
Find n, given that 7*n**5/3 + 3*n**4 - 5*n**3/3 - 3*n**2 - 2*n/3 = 0.
-1, -2/7, 0, 1
Factor -4*w**2/5 - 4*w - 16/5.
-4*(w + 1)*(w + 4)/5
Factor -k**5/8 + 5*k**4/2 - 9*k**3/2.
-k**3*(k - 18)*(k - 2)/8
Suppose 36*s**2 - 116*s - 152 = 0. Calculate s.
-1, 38/9
Factor -2*z**3/5 - 12*z**2/5 - 24*z/5 - 16/5.
-2*(z + 2)**3/5
Solve -2*n**3 - 34*n**2 - 28*n + 64 = 0 for n.
-16, -2, 1
Suppose -8*o**5/3 + 548*o**4/3 - 20041*o**3/6 + 14015*o**2/2 + 8283*o/2 + 1089/2 = 0. Calculate o.
-1/4, 3, 33
Factor 3*b**4 + 6*b**3 - 24*b**2 - 54*b - 27.
3*(b - 3)*(b + 1)**2*(b + 3)
Solve -2*n**4/5 + 22*n**3/5 + 156*n**2/5 + 16*n - 256/5 = 0 for n.
-4, -2, 1, 16
Factor 6*h**4 + 4*h**3/3.
2*h**3*(9*h + 2)/3
Determine h so that 4*h**3/7 + 18924*h**2/7 + 29843148*h/7 + 15687548132/7 = 0.
-1577
What is m in -3*m**3 - 39*m**2 - 105*m + 147 = 0?
-7, 1
Factor -5*g**4 - 225*g**3 + 230*g**2.
-5*g**2*(g - 1)*(g + 46)
Let 1922*z**4/11 + 186*z**3 + 126*z**2/11 + 2*z/11 = 0. What is z?
-1, -1/31, 0
Facto