+ 129*z**2/7 + 192*z/7 - 180/7 = 0. Calculate z.
-3, -2, 5/7, 2
Find r such that 35*r**4/3 - 220*r**3/3 + 25*r**2/3 + 220*r/3 - 20 = 0.
-1, 2/7, 1, 6
Factor -5*f**2/4 - 65*f/2 - 765/4.
-5*(f + 9)*(f + 17)/4
What is p in -2*p**4/15 + 298*p**3/5 + 898*p**2/5 + 2698*p/15 + 60 = 0?
-1, 450
Let 2*h**4/17 - 36*h**3/17 + 122*h**2/17 + 360*h/17 + 200/17 = 0. Calculate h.
-1, 10
Factor -s**3/4 - 45*s**2/2 + 192*s - 392.
-(s - 4)**2*(s + 98)/4
Factor s**3/6 - 20*s**2/3 + 413*s/6 - 637/3.
(s - 26)*(s - 7)**2/6
Factor -2*y**3 - 68*y**2 + 74*y + 140.
-2*(y - 2)*(y + 1)*(y + 35)
Factor -2*s**3/9 - 2*s**2 + 176*s/3 - 968/9.
-2*(s - 11)*(s - 2)*(s + 22)/9
What is o in -o**3/3 - 4*o**2/3 + 4*o/3 + 16/3 = 0?
-4, -2, 2
Factor -5*v**2 - 8060*v - 3248180.
-5*(v + 806)**2
Find i, given that 5*i**2 + 4380*i + 959220 = 0.
-438
Factor -b**3/4 + 21*b**2/2 - 305*b/4 + 66.
-(b - 33)*(b - 8)*(b - 1)/4
Determine r so that -7*r**5/5 + 36*r**4/5 + 51*r**3/5 - 92*r**2/5 + 12*r/5 = 0.
-2, 0, 1/7, 1, 6
Factor d**4 + 23*d**3 + 94*d**2 + 72*d.
d*(d + 1)*(d + 4)*(d + 18)
Factor -c**5 - 8*c**4 - 9*c**3 + 22*c**2 + 20*c - 24.
-(c - 1)**2*(c + 2)**2*(c + 6)
Factor -3*w**2 + 60*w - 108.
-3*(w - 18)*(w - 2)
Determine n so that 7*n**3 - 167*n**2/4 + 123*n/2 + 9/4 = 0.
-1/28, 3
Find x such that -4*x**5 - 47*x**4 - 153*x**3 + 38*x**2 + 736*x + 480 = 0.
-5, -4, -3/4, 2
Factor 2*j**3/9 - 14*j**2/9 + 28*j/9 - 16/9.
2*(j - 4)*(j - 2)*(j - 1)/9
Factor -2*q**2/9 - 2*q/9 + 4/9.
-2*(q - 1)*(q + 2)/9
Factor 4*u**3 + 148*u**2 + 704*u - 13552.
4*(u - 7)*(u + 22)**2
Factor -b**4/7 + 10*b**3/7 + 12*b**2/7 - 10*b/7 - 11/7.
-(b - 11)*(b - 1)*(b + 1)**2/7
Solve -5*t**4 + 700*t**3 - 25185*t**2 + 47610*t = 0 for t.
0, 2, 69
Let -h**3/6 + 458*h**2/3 + 306*h = 0. Calculate h.
-2, 0, 918
Suppose -i**2 - 6*i + 40 = 0. Calculate i.
-10, 4
Determine q, given that 2*q**5 - 40*q**4 + 194*q**3 + 124*q**2 - 680*q + 400 = 0.
-2, 1, 10
Determine c so that 4*c**4 - 28*c**3 + 24*c**2 + 112*c - 160 = 0.
-2, 2, 5
Factor 3*u**2 - 4155*u - 4158.
3*(u - 1386)*(u + 1)
Let 2*t**5 + 56*t**4 - 262*t**3 - 172*t**2 + 656*t + 512 = 0. What is t?
-32, -1, 2, 4
Factor 3*v**2/5 - 12*v/5.
3*v*(v - 4)/5
Suppose 14*d**4/9 + 220*d**3/9 + 176*d**2/3 + 452*d/9 + 130/9 = 0. What is d?
-13, -1, -5/7
Find q such that q**4 + 1111*q**3 + 4433*q**2 + 5537*q + 2214 = 0.
-1107, -2, -1
Let -4*j**2 + 14640*j - 13395600 = 0. Calculate j.
1830
Factor 24*w**3/5 - 332*w**2/5 + 736*w/5 + 132/5.
4*(w - 11)*(w - 3)*(6*w + 1)/5
Factor -3*s**2 - 48*s - 192.
-3*(s + 8)**2
Factor 3*s**3 - 57*s**2.
3*s**2*(s - 19)
Factor -12*n**2 + 57*n + 15.
-3*(n - 5)*(4*n + 1)
Factor -4*n**5 + 1000*n**4 - 5892*n**3 + 8784*n**2.
-4*n**2*(n - 244)*(n - 3)**2
Find m, given that 3*m**5/5 - 11*m**4/5 - 17*m**3 - 141*m**2/5 - 86*m/5 - 16/5 = 0.
-2, -1, -1/3, 8
Factor 2*n**5 + 50*n**4 + 336*n**3 + 288*n**2.
2*n**2*(n + 1)*(n + 12)**2
Solve 6*j**4 - 4*j**3 - 22*j**2 + 4*j + 16 = 0 for j.
-4/3, -1, 1, 2
Factor 5*w**3 + 735*w**2 - 740*w.
5*w*(w - 1)*(w + 148)
Determine u so that -3*u**2/4 - 57*u/4 = 0.
-19, 0
Determine p so that 6*p**4/7 + 404*p**3/7 + 110*p**2/7 - 1616*p/7 - 536/7 = 0.
-67, -2, -1/3, 2
Determine j, given that j**2/7 - 2*j/7 - 3/7 = 0.
-1, 3
Factor 3*v**4/8 + 3*v**3/8 - 105*v**2/8 - 387*v/8 - 189/4.
3*(v - 7)*(v + 2)*(v + 3)**2/8
Suppose t**2 - 30*t + 200 = 0. What is t?
10, 20
Factor -9*a**4 - 330*a**3 - 1873*a**2 + 21120*a - 36864.
-(a - 3)**2*(3*a + 64)**2
Factor 4*c**3/3 - 62*c**2/3 - 32*c/3.
2*c*(c - 16)*(2*c + 1)/3
Suppose -2*r**2/17 - 14*r/17 = 0. Calculate r.
-7, 0
Factor 6*b**2 + 41*b - 22.
(2*b - 1)*(3*b + 22)
Let q**5/5 - 3*q**3 + 2*q**2 + 24*q/5 = 0. What is q?
-4, -1, 0, 2, 3
Suppose -b**3 - 330*b**2 + 2007*b - 3024 = 0. What is b?
-336, 3
Factor 3*b**2 - 27504*b + 63039168.
3*(b - 4584)**2
Suppose -p**2/3 + 4/3 = 0. Calculate p.
-2, 2
Factor -186*g**3/7 + 368*g**2/7 - 178*g/7 - 4/7.
-2*(g - 1)**2*(93*g + 2)/7
Factor -2*k**4 - 8*k**3 + 152*k**2 - 448*k + 384.
-2*(k - 4)*(k - 2)**2*(k + 12)
Factor 9*j**2/5 + 2949*j + 4914/5.
3*(j + 1638)*(3*j + 1)/5
Factor -q**4 + 2*q**3 + 4*q**2 - 8*q.
-q*(q - 2)**2*(q + 2)
Factor -2*y**2 - 11152*y - 15545888.
-2*(y + 2788)**2
Find t such that t**4/6 - t**3 - 8*t**2/3 = 0.
-2, 0, 8
Determine i, given that -4*i**3/3 - 40*i**2/3 - 28*i/3 + 24 = 0.
-9, -2, 1
Factor 2*x**3/13 - 86*x**2/13 + 880*x/13 + 968/13.
2*(x - 22)**2*(x + 1)/13
Suppose 20*c**4 - 75*c**3 + 60*c**2 + 20*c = 0. Calculate c.
-1/4, 0, 2
Factor 20*i**5 - 55*i**4 + 50*i**3 - 15*i**2.
5*i**2*(i - 1)**2*(4*i - 3)
Let 3*r**4/2 - 18*r**3 - 90*r**2 - 96*r = 0. What is r?
-2, 0, 16
Factor -2*i**3/7 - 132*i**2/7 - 622*i/7 - 732/7.
-2*(i + 2)*(i + 3)*(i + 61)/7
Let 2*p**4/9 - 2*p**3/9 - 14*p**2/9 + 2*p/9 + 4/3 = 0. What is p?
-2, -1, 1, 3
Find y such that -5*y**3 + 960*y**2 + 965*y = 0.
-1, 0, 193
Solve -3*m**4 + 129*m**3 - 1314*m**2 - 1716*m + 2904 = 0.
-2, 1, 22
Factor -k**5/5 - 236*k**4/5 - 18244*k**3/5 - 87232*k**2 + 394240*k - 409600.
-(k - 2)**2*(k + 80)**3/5
Suppose m**2 - 32*m - 185 = 0. What is m?
-5, 37
Factor -k**2/3 - 42*k - 1323.
-(k + 63)**2/3
Factor -145*j**3 + 41480*j**2 - 2967965*j + 204490.
-5*(j - 143)**2*(29*j - 2)
Factor 2*v**4/3 + 7*v**3/3 + 8*v**2/3 + v.
v*(v + 1)**2*(2*v + 3)/3
Factor 10*m**2/13 + 116*m/13 - 48/13.
2*(m + 12)*(5*m - 2)/13
Let 14*k**3/3 + 844*k**2/3 + 4280*k + 1200 = 0. Calculate k.
-30, -2/7
Factor 5*d**2/6 + 5*d/2 - 45.
5*(d - 6)*(d + 9)/6
Determine z, given that -5*z**4 + 430*z**3 + 5*z**2 - 430*z = 0.
-1, 0, 1, 86
What is h in -2*h**4/13 + 12*h**2/13 + 16*h/13 + 6/13 = 0?
-1, 3
Factor -3*f**4/2 + 96*f**3 - 189*f**2/2.
-3*f**2*(f - 63)*(f - 1)/2
Factor 45*n**3 - 14586*n**2 + 1182924*n - 157464.
3*(n - 162)**2*(15*n - 2)
Solve 2*g**3 - 10*g**2 - 8*g + 40 = 0 for g.
-2, 2, 5
Factor 2*w**2/9 - 476*w/3 - 5744/9.
2*(w - 718)*(w + 4)/9
Factor -3*g**3/8 - 1689*g**2/8.
-3*g**2*(g + 563)/8
Find v, given that 4*v**2 + 116*v + 112 = 0.
-28, -1
Solve 10*o**5/3 - 124*o**4/3 + 398*o**3/3 - 140*o**2/3 = 0.
0, 2/5, 5, 7
Factor 2*j**5/5 + 18*j**4/5 - 4*j**3.
2*j**3*(j - 1)*(j + 10)/5
Factor -2*f**3/7 - 30*f**2/7 - 64*f/7 + 264/7.
-2*(f - 2)*(f + 6)*(f + 11)/7
Solve -x**3 + 23*x**2 + 113*x - 135 = 0 for x.
-5, 1, 27
Factor 4*p**3 + 4*p**2 - 68*p + 60.
4*(p - 3)*(p - 1)*(p + 5)
Factor 3*a**4/7 - 15*a**3/7 - 24*a**2/7 + 36*a/7.
3*a*(a - 6)*(a - 1)*(a + 2)/7
Find s, given that 5*s**2/2 + 101*s + 40 = 0.
-40, -2/5
Factor 5*a**4 - 95*a**3 - 100*a**2.
5*a**2*(a - 20)*(a + 1)
Factor r**4/5 - r**3/5 - 2*r**2 - 8*r/5.
r*(r - 4)*(r + 1)*(r + 2)/5
Suppose n**4/6 - 25*n**3/6 + 83*n**2/3 - 16*n - 48 = 0. Calculate n.
-1, 2, 12
Factor q**2 + 5618*q + 7890481.
(q + 2809)**2
What is k in -3*k**4 - 330*k**3/7 + 117*k**2/7 + 330*k/7 - 96/7 = 0?
-16, -1, 2/7, 1
Suppose -2*z**2/21 + 10*z/21 = 0. Calculate z.
0, 5
Find j, given that -2*j**2/15 + 52*j/15 - 10/3 = 0.
1, 25
Factor -4*x**4 + 204*x**3 - 1128*x**2 + 2192*x - 1440.
-4*(x - 45)*(x - 2)**3
Suppose -3*m**4 + 108*m**3 + 237*m**2 - 342*m = 0. What is m?
-3, 0, 1, 38
Suppose 4*n**3 + 36*n**2 - 448*n = 0. Calculate n.
-16, 0, 7
Factor 16*c**3/5 - 44*c**2 - 296*c/5 - 12.
4*(c - 15)*(c + 1)*(4*c + 1)/5
Factor 3*l**3/5 + 276*l**2/5 + 8208*l/5 + 15552.
3*(l + 20)*(l + 36)**2/5
Suppose -3*t**3 + 495*t**2 - 27225*t + 499125 = 0. Calculate t.
55
What is j in j**3/5 - 106*j**2/5 + 408*j/5 = 0?
0, 4, 102
Find n such that 6*n**2/5 - 414*n/5 - 84 = 0.
-1, 70
Factor -2*h**2/11 - 10*h/11 - 12/11.
-2*(h + 2)*(h + 3)/11
Let -2*d**4/5 - 104*d**3/5 + 108*d**2/5 + 104*d/5 - 106/5 = 0. What is d?
-53, -1, 1
Suppose 4*r**3/3 - 64*r**2/3 + 320*r/3 - 512/3 = 0. What is r?
4, 8
Solve 2*r**5 - 24*r**4 + 104*r**3 - 192*r**2 + 128*r = 0.
0, 2, 4
What is b in 2*b**2 + 52*b + 338 = 0?
-13
Factor -4*w**2 - 1584*w + 3184.
-4*(w - 2)*(w + 398)
Determine b so that -3*b**5 + 15*b**4 + 42*b**3 + 6*b**2 - 39*b - 21 = 0.
-1, 1, 7
Factor -2*f**3 + 6*f**2 - 4*f.
-2*f*(f - 2)*(f - 1)
Suppose 4*h**5 - 772*h**4 - 32*h**3 + 6176*h**2 + 64*h - 12352 = 0. Calculate h.
-2, 2, 193
Factor -g**2/9 + 11*g/3 - 28.
-(g - 21)*(g - 12)/9
Solve 2*b**5/9 + 178*b**4/9 - 362*b**3/9 + 182*b**2/9 = 0.
-91, 0, 1
Factor i**4/2 - 16*i**3 + 69*i**2 - 36*i - 243/2.
(i - 27)*(i - 3)**2*(i + 1)/2
Solve -2*t**4 + 130*t**3/9 - 136*t**2/9 + 8*t/3 = 0.
0, 2/9, 1, 6
Let 11*q**