1)*(w + 4)/3
Suppose f**2/5 - 169/5 = 0. What is f?
-13, 13
Factor 61*x**5 - 243*x**4 + 362*x**3 - 238*x**2 + 57*x + 1.
(x - 1)**4*(61*x + 1)
Factor -4*d**3 + 68*d**2 + 80*d - 144.
-4*(d - 18)*(d - 1)*(d + 2)
Suppose -7*z**3 + 65*z**2 + 52*z - 20 = 0. Calculate z.
-1, 2/7, 10
Solve -75*w**4 + 1470*w**3 - 783*w**2 - 1416*w + 912 = 0.
-1, 4/5, 19
Factor -3*d**3/7 - 93*d**2/7 + 198*d/7.
-3*d*(d - 2)*(d + 33)/7
Factor 28*x**2 - 100*x + 48.
4*(x - 3)*(7*x - 4)
Factor 2*d**3/7 + 20*d**2/7 + 32*d/7.
2*d*(d + 2)*(d + 8)/7
What is z in 405741*z**4/4 + 1321473*z**3/4 + 154749*z**2/2 - 2433*z + 18 = 0?
-3, -2/7, 2/139
Let -9*q**3/5 - 43*q**2/5 - 44*q/5 + 12/5 = 0. What is q?
-3, -2, 2/9
Factor 4*q**3 - 3524*q**2 - 7060*q - 3532.
4*(q - 883)*(q + 1)**2
Factor 15*d**2 - 432*d - 87.
3*(d - 29)*(5*d + 1)
Find h, given that h**3/3 + 75*h**2 - 226*h/3 = 0.
-226, 0, 1
Find f, given that f**2/2 - 39*f/2 + 54 = 0.
3, 36
Factor 4*r**2 - 20*r.
4*r*(r - 5)
Factor d**4/5 + 3*d**3/5.
d**3*(d + 3)/5
Determine g, given that -3*g**5/7 + 276*g**4/7 - 72*g**3 - 480*g**2 + 10896*g/7 - 8640/7 = 0.
-4, 2, 90
Factor 2*a**2/3 + 4456*a/3 + 2481992/3.
2*(a + 1114)**2/3
Let -26*p**5/9 + 1798*p**4/9 - 33790*p**3/9 + 93530*p**2/9 - 23408*p/3 + 968 = 0. Calculate p.
2/13, 1, 2, 33
Determine k, given that -4*k**4 + 20*k**3 - 28*k**2 + 12*k = 0.
0, 1, 3
Factor 2*q**2/3 + 98*q/3 - 1612/3.
2*(q - 13)*(q + 62)/3
Factor -5*p**4 + 120*p**3 + 260*p**2.
-5*p**2*(p - 26)*(p + 2)
Find m such that -5*m**5 + 22*m**4 + 22*m**3 - 32*m**2 - 17*m + 10 = 0.
-1, 2/5, 1, 5
Solve 3*b**3/5 - 72*b**2/5 + 432*b/5 = 0 for b.
0, 12
Factor 4*v**5 - 32*v**4 - 76*v**3 - 40*v**2.
4*v**2*(v - 10)*(v + 1)**2
Factor -2*r**3/11 + 20*r**2/11 - 14*r/11 - 36/11.
-2*(r - 9)*(r - 2)*(r + 1)/11
Suppose -o**2 + 15*o - 26 = 0. Calculate o.
2, 13
Suppose s**3/9 - 1234*s**2/3 + 2467*s/3 - 3700/9 = 0. What is s?
1, 3700
Solve -2*a**4/11 + 52*a**3/11 - 30*a**2 = 0.
0, 11, 15
What is n in -2*n**4/11 + 20*n**3/11 - 6*n**2 + 80*n/11 - 32/11 = 0?
1, 4
Solve -9*i**5/2 + 125*i**4 + 587*i**3/2 + 194*i**2 + 30*i = 0.
-1, -2/9, 0, 30
Factor f**3/2 - 605*f**2/8 + 751*f/8 - 75/4.
(f - 150)*(f - 1)*(4*f - 1)/8
Factor -2*h**3 + 24*h**2 + 522*h + 1296.
-2*(h - 24)*(h + 3)*(h + 9)
Factor -4*x**5 - 84*x**4 - 296*x**3 - 424*x**2 - 276*x - 68.
-4*(x + 1)**4*(x + 17)
Find h, given that -3*h**4 - 288*h**3 + 9*h**2 + 858*h - 576 = 0.
-96, -2, 1
Solve 2*g**4/19 - 54*g**2/19 + 108*g/19 = 0.
-6, 0, 3
What is x in -4*x**3 + 212*x**2 + 224*x - 432 = 0?
-2, 1, 54
Suppose 6*t**4 - 9*t**3 - 36*t**2 + 21*t + 18 = 0. Calculate t.
-2, -1/2, 1, 3
Factor -d**4/10 - d**3/5 + 3*d**2/10 + 2*d/5 - 2/5.
-(d - 1)**2*(d + 2)**2/10
Let u**4/2 - 2*u**3 - u**2/2 + 2*u = 0. Calculate u.
-1, 0, 1, 4
Factor d**2/2 - 747*d/2 + 373.
(d - 746)*(d - 1)/2
Determine f, given that 4*f**4 - 8*f**3 - 68*f**2 + 72*f + 288 = 0.
-3, -2, 3, 4
Find u, given that 14*u**4/11 - 928*u**3/11 + 3792*u**2/11 - 4480*u/11 + 992/11 = 0.
2/7, 2, 62
Factor -5*f**4 - 30*f**3 + 160*f.
-5*f*(f - 2)*(f + 4)**2
Let -2*t**4 - 474*t**3 - 27846*t**2 + 28322*t = 0. Calculate t.
-119, 0, 1
Suppose f**2/5 + 3*f/5 - 2 = 0. What is f?
-5, 2
Factor f**2/2 - 55*f/2 + 78.
(f - 52)*(f - 3)/2
Factor -p**3 - 465*p**2.
-p**2*(p + 465)
Let -8*q**4/5 + 276*q**3/5 + 724*q**2/5 + 588*q/5 + 148/5 = 0. Calculate q.
-1, -1/2, 37
Let q**4/4 + 39*q**3/4 + 75*q**2/4 + 37*q/4 = 0. What is q?
-37, -1, 0
Factor -h**2/8 - h/4 + 3/8.
-(h - 1)*(h + 3)/8
Factor 2*n**3 + 58*n**2 + 110*n + 54.
2*(n + 1)**2*(n + 27)
Factor -y**2/4 + 33*y + 133/4.
-(y - 133)*(y + 1)/4
Suppose 2*b**3 + 44*b**2 + 238*b + 196 = 0. Calculate b.
-14, -7, -1
Suppose 3*t**5 - 201*t**4 - 411*t**3 - 207*t**2 = 0. Calculate t.
-1, 0, 69
Factor 2*v**2/5 - 32*v + 158/5.
2*(v - 79)*(v - 1)/5
Factor 81*g**2/4 + 180*g + 400.
(9*g + 40)**2/4
Factor -4*t**4 - 716*t**3 - 32388*t**2 - 30260*t + 63368.
-4*(t - 1)*(t + 2)*(t + 89)**2
What is y in -2*y**3/5 + 8*y**2/5 - 6*y/5 = 0?
0, 1, 3
Factor -2*l**3/13 + 112*l**2/13 - 1128*l/13 + 3168/13.
-2*(l - 44)*(l - 6)**2/13
Factor -250*z**4 + 300*z**3 - 120*z**2 + 16*z.
-2*z*(5*z - 2)**3
What is m in m**5/2 - 22*m**4 - 23*m**3 + 22*m**2 + 45*m/2 = 0?
-1, 0, 1, 45
Suppose 93*g**3 - 8*g**2 - 36*g = 0. Calculate g.
-18/31, 0, 2/3
Factor 4*f**2 - 932*f + 1848.
4*(f - 231)*(f - 2)
Factor -4*q**3 - 12*q**2 + 40*q.
-4*q*(q - 2)*(q + 5)
Factor 2*y**3/11 + 3008*y**2/11 + 1131008*y/11.
2*y*(y + 752)**2/11
Suppose 3*f**2 + 1152*f + 110592 = 0. What is f?
-192
Let 2*b**2/7 + 68*b/7 - 144/7 = 0. Calculate b.
-36, 2
Find w such that 2*w**4 - 6*w**3 + 2*w**2 + 6*w - 4 = 0.
-1, 1, 2
Factor -5*h**2 - 145*h - 500.
-5*(h + 4)*(h + 25)
Suppose -f**2/2 + 3*f/2 + 54 = 0. What is f?
-9, 12
Factor -2*x**2 - 564*x + 2288.
-2*(x - 4)*(x + 286)
Factor -2*k**2/3 - 10664*k/3 - 14215112/3.
-2*(k + 2666)**2/3
Factor 4*y**4 + 24*y**3 + 36*y**2 + 16*y.
4*y*(y + 1)**2*(y + 4)
Suppose -9*n**4/2 - 97*n**3/2 - 70*n**2 + 18*n = 0. What is n?
-9, -2, 0, 2/9
Factor -2*n**3/5 - 38*n**2/5 + 176*n/5 - 184/5.
-2*(n - 2)**2*(n + 23)/5
Solve -3*x**5 + 2442*x**4 - 492042*x**3 - 1995108*x**2 - 2504307*x - 1003686 = 0.
-2, -1, 409
Let t**2 + 108*t + 2916 = 0. What is t?
-54
Factor l**4 + 69*l**3 - 687*l**2 + 1195*l + 1950.
(l - 5)**2*(l + 1)*(l + 78)
Find m, given that -4*m**4/9 - 232*m**3/9 = 0.
-58, 0
Solve -3*w**3 + 16*w**2 - 3*w - 10 = 0 for w.
-2/3, 1, 5
Determine u so that -4*u**5 + 92*u**4 - 380*u**3 - 1052*u**2 - 576*u = 0.
-1, 0, 9, 16
Factor 2*c**3 - 198*c**2/5 + 918*c/5 - 1242/5.
2*(c - 3)**2*(5*c - 69)/5
Factor -h**3/3 + 160*h**2/9 + 109*h/9 - 6.
-(h - 54)*(h + 1)*(3*h - 1)/9
Let s**3 + 23*s**2 + 127*s + 105 = 0. What is s?
-15, -7, -1
Solve -j**4/3 - 44*j**3/3 + 46*j**2/3 + 44*j/3 - 15 = 0.
-45, -1, 1
Factor -i**4 - 14*i**3 + 69*i**2 - 54*i.
-i*(i - 3)*(i - 1)*(i + 18)
Factor -3*s**3/4 + 21*s**2/4 - 6*s - 12.
-3*(s - 4)**2*(s + 1)/4
Factor 5*c**2 - 3985*c + 3980.
5*(c - 796)*(c - 1)
Suppose -2*o**2/5 - 352*o/5 - 15488/5 = 0. Calculate o.
-88
Factor f**3/3 - 13*f**2/3 + 10*f/3 + 8.
(f - 12)*(f - 2)*(f + 1)/3
Solve d**4/4 + 11*d**3/4 + 23*d**2/4 - 11*d/4 - 6 = 0.
-8, -3, -1, 1
Find v, given that -3*v**2 + 96*v + 315 = 0.
-3, 35
Factor -2*h**4/9.
-2*h**4/9
What is u in -u**5/4 + 17*u**4/4 - 26*u**3 + 70*u**2 - 84*u + 36 = 0?
1, 2, 6
Suppose 3*g**3/5 + 51*g**2/5 + 48*g/5 = 0. Calculate g.
-16, -1, 0
Factor -2*q**2/11 + 164*q/11.
-2*q*(q - 82)/11
What is q in -2*q**5 - 32*q**4 + 6*q**3 + 100*q**2 + 64*q = 0?
-16, -1, 0, 2
Factor -2*m**4 - 668*m**3 - 55778*m**2.
-2*m**2*(m + 167)**2
Let -z**5/8 + 31*z**4/8 + 3*z**3/8 - 91*z**2/8 - 31*z/4 = 0. What is z?
-1, 0, 2, 31
Factor 4*h**4 - 2064*h**3 + 399384*h**2 - 34347024*h + 1107691524.
4*(h - 129)**4
Find p such that -p**3/6 - p**2/6 = 0.
-1, 0
Solve 3*r**5/4 + 7*r**4/4 - 33*r**3/4 + 33*r**2/4 - 5*r/2 = 0 for r.
-5, 0, 2/3, 1
Factor 8*s**4 - 653*s**3 + 17901*s**2 - 168399*s + 98415.
(s - 27)**3*(8*s - 5)
Determine g, given that -3*g**2/8 - 87*g/4 + 177/8 = 0.
-59, 1
What is p in -12*p**5/5 - 27*p**4/5 + 12*p**3/5 + 78*p**2/5 + 72*p/5 + 21/5 = 0?
-1, 7/4
Determine u so that -4*u**5 + 20*u**4 - 12*u**3 - 68*u**2 + 112*u - 48 = 0.
-2, 1, 2, 3
Factor 2*x**2/7 + 36*x/7 + 64/7.
2*(x + 2)*(x + 16)/7
Suppose -2*y**2 + 174*y + 176 = 0. Calculate y.
-1, 88
Suppose 4*u**2 + 22*u - 12 = 0. What is u?
-6, 1/2
Factor 2*l**2/3 - 640*l/3 - 646.
2*(l - 323)*(l + 3)/3
Suppose -d**3 + 8*d**2 + 79*d + 70 = 0. Calculate d.
-5, -1, 14
Factor 35*r**2/2 - 335*r/2 + 90.
5*(r - 9)*(7*r - 4)/2
Factor -5*i**3/2 + 55*i**2/2 + 65*i.
-5*i*(i - 13)*(i + 2)/2
Factor -6*s**4/11 - 168*s**3/11 - 1764*s**2/11 - 8232*s/11 - 14406/11.
-6*(s + 7)**4/11
Factor -5*r**3 - 155*r**2 - 430*r - 280.
-5*(r + 1)*(r + 2)*(r + 28)
Factor -2*h**3/15 + 34*h**2/15 - 172*h/15 + 224/15.
-2*(h - 8)*(h - 7)*(h - 2)/15
Determine b so that 2*b**2/3 - 34*b/3 = 0.
0, 17
Find x, given that -2*x**2/3 - 52*x/3 = 0.
-26, 0
Factor 4*y**4 - 164*y**2 + 288*y + 448.
4*(y - 4)**2*(y + 1)*(y + 7)
Factor -3*m**4 + 18*m**2 - 24*m + 9.
-3*(m - 1)**3*(m + 3)
Factor 2*l**3/9 - 52*l**2 - 648*l - 1968.
2*(l - 246)*(l + 6)**2/9
Solve -2*n**5/11 - 134*n**4/11 - 3590*n**3/11 - 48074*n**2/11 - 321776*n/11 - 861224/11 = 0.
-14, -13
Factor -4*z**4 + 8*z**3 + 588*z**2 - 2752*z - 3328.
-4*(z - 8)**2*(z + 1)*(z