6)**2*(137*a - 3)/6
Factor -q**3/3 + 11*q**2/3.
-q**2*(q - 11)/3
Suppose 2*y**2 + 16*y + 24 = 0. What is y?
-6, -2
Solve -c**2/4 - 9*c/2 - 17/4 = 0 for c.
-17, -1
Let -r**2 - 2*r = 0. Calculate r.
-2, 0
Solve 4*a**5 + 744*a**4 - 748*a**3 = 0.
-187, 0, 1
Factor -3*v**3/8 - 3*v**2/2 + 45*v/8 + 27/4.
-3*(v - 3)*(v + 1)*(v + 6)/8
Factor -5*t**2/2 + 620*t + 1245/2.
-5*(t - 249)*(t + 1)/2
Factor -2*o**3/5 - 36*o**2/5 - 192*o/5 - 256/5.
-2*(o + 2)*(o + 8)**2/5
Factor -4*h**4 + 44*h**3 + 4*h**2 - 44*h.
-4*h*(h - 11)*(h - 1)*(h + 1)
Factor u**3/9 + 2*u**2/3 + u + 4/9.
(u + 1)**2*(u + 4)/9
Factor -3*m**2 + 15*m + 18.
-3*(m - 6)*(m + 1)
Factor a**2 - 5*a - 24.
(a - 8)*(a + 3)
Factor a**2 + 30*a - 304.
(a - 8)*(a + 38)
Factor 6*j**3 - 1460*j**2 + 486*j.
2*j*(j - 243)*(3*j - 1)
Factor -5*k**3 + 10*k**2 + 75*k.
-5*k*(k - 5)*(k + 3)
Factor -3*m**4 + 48*m**3.
-3*m**3*(m - 16)
Factor 2*b**5/5 + 4*b**4 + 74*b**3/5 + 24*b**2 + 72*b/5.
2*b*(b + 2)**2*(b + 3)**2/5
Factor 4*c**4/5 - 28*c**3/5 + 16*c**2/5 + 48*c/5.
4*c*(c - 6)*(c - 2)*(c + 1)/5
Find r such that 4*r**4/3 + 35*r**3 - 30*r**2 - 245*r/3 - 18 = 0.
-27, -1, -1/4, 2
Factor d**4/4 - 2*d**3 + 5*d**2/4 + 19*d/2 + 6.
(d - 6)*(d - 4)*(d + 1)**2/4
Suppose -q**2 - 231*q - 458 = 0. Calculate q.
-229, -2
Suppose 2*z**2/13 + 3676*z/13 + 1689122/13 = 0. Calculate z.
-919
Determine v so that 4*v**4 - 216*v**3 - 448*v**2 = 0.
-2, 0, 56
Determine i, given that -i**2/6 - 50*i/3 - 1411/6 = 0.
-83, -17
Solve 9*g**3/4 - 173*g**2/4 + 19*g/2 = 0 for g.
0, 2/9, 19
Find w such that 3*w**5/8 - 11*w**4/4 - 47*w**3/8 + 9*w**2/4 = 0.
-2, 0, 1/3, 9
Factor -b**3/3 - 299*b**2/3 - 20615*b/3 + 264275/3.
-(b - 11)*(b + 155)**2/3
Factor w**4 - 25*w**3 + 213*w**2 - 675*w + 486.
(w - 9)**2*(w - 6)*(w - 1)
Determine z, given that 3*z**4 - 153*z**3 - 171*z**2 + 59745*z + 176400 = 0.
-16, -3, 35
Let c**2 + 196*c + 579 = 0. Calculate c.
-193, -3
Factor -b**3/6 - 5*b**2/3 + 9*b/2 + 6.
-(b - 3)*(b + 1)*(b + 12)/6
Factor 3*c**3 - 30*c**2 + 99*c - 108.
3*(c - 4)*(c - 3)**2
Factor -4*j**3/3 + 112*j**2/3 + 124*j/3 - 232/3.
-4*(j - 29)*(j - 1)*(j + 2)/3
Let 96*i**3 + 11544*i**2 - 17397*i/2 + 3267/2 = 0. Calculate i.
-121, 3/8
Factor -5*x**3 + 24015*x**2 - 28848015*x + 28824005.
-5*(x - 2401)**2*(x - 1)
Factor 2*f**2 - 78*f.
2*f*(f - 39)
Solve l**4 + 8*l**3 - 225*l**2 - 1944*l + 2160 = 0.
-12, 1, 15
Factor -b**4/5 - 29*b**3/5 + 34*b**2.
-b**2*(b - 5)*(b + 34)/5
Factor -2*d**2/13 - 8*d/13 + 10/13.
-2*(d - 1)*(d + 5)/13
Factor 3*k**2 - 1179*k - 5970.
3*(k - 398)*(k + 5)
Factor 4*v**4 - 24*v**3 - 60*v**2 - 32*v.
4*v*(v - 8)*(v + 1)**2
Suppose 6*d**5 - 37*d**4 - 37*d**3 + 13*d**2 + 7*d = 0. What is d?
-1, -1/3, 0, 1/2, 7
Factor 2*i**2/9 - 2140*i/9 + 572450/9.
2*(i - 535)**2/9
Solve 3*k**3/4 + 111*k**2/2 + 219*k/4 = 0 for k.
-73, -1, 0
Find n such that 4*n**4 - 340*n**3 + 984*n**2 + 16*n - 1312 = 0.
-1, 2, 82
Factor -2*p**2 + 3036*p - 1152162.
-2*(p - 759)**2
Solve b**3/3 + 95*b**2/3 + 2392*b/3 + 2116 = 0.
-46, -3
Factor 2*m**4/3 - 6*m**3 + 56*m**2/3 - 24*m + 32/3.
2*(m - 4)*(m - 2)**2*(m - 1)/3
Solve -2*u**2/5 + 24*u/5 + 506/5 = 0.
-11, 23
Determine w, given that -w**2/5 - 14872*w/5 - 55294096/5 = 0.
-7436
Factor 5*f**2 + 160*f - 165.
5*(f - 1)*(f + 33)
Factor 14*p**4 - 18*p**3 - 10*p**2 + 18*p - 4.
2*(p - 1)**2*(p + 1)*(7*p - 2)
Let -6*k**5/17 + 22*k**4/17 + 44*k**3/17 - 12*k**2/17 - 38*k/17 - 10/17 = 0. Calculate k.
-1, -1/3, 1, 5
Factor k**3/3 + 58*k**2/3 + 896*k/3 + 1568/3.
(k + 2)*(k + 28)**2/3
Factor 11*n**3 + 62*n**2 + 75*n - 36.
(n + 3)**2*(11*n - 4)
Solve -4*v**5/7 + 12*v**4 - 152*v**3/7 = 0 for v.
0, 2, 19
Factor x**2/7 + 18*x/7 + 32/7.
(x + 2)*(x + 16)/7
Let -8*k**4/13 + 2*k**3/13 + 8*k**2 - 122*k/13 + 24/13 = 0. What is k?
-4, 1/4, 1, 3
Factor -5*s**4 + 5*s**3 + 220*s**2 - 420*s.
-5*s*(s - 6)*(s - 2)*(s + 7)
Factor 2*r**3/3 + 162*r**2 + 13122*r + 354294.
2*(r + 81)**3/3
Solve j**4/2 + 29*j**3/2 + 111*j**2 + 70*j - 196 = 0.
-14, -2, 1
Factor 2*l**2 - 68*l + 570.
2*(l - 19)*(l - 15)
Find o, given that -o**3/5 - 8*o**2 - 105*o - 450 = 0.
-15, -10
Determine g, given that 28*g**4 - 244*g**3 + 152*g**2 + 64*g = 0.
-2/7, 0, 1, 8
Factor 2*n**3/5 + 18*n**2/5 + 52*n/5 + 48/5.
2*(n + 2)*(n + 3)*(n + 4)/5
Suppose -12*b**4/7 - 10*b**3/7 + 26*b**2/7 - 4*b/7 = 0. Calculate b.
-2, 0, 1/6, 1
Factor 4*c**3/3 + 58*c**2 - 30*c - 88/3.
2*(c - 1)*(c + 44)*(2*c + 1)/3
Determine h so that 3*h**3/2 + 123*h**2/2 - 255*h/2 + 129/2 = 0.
-43, 1
Determine v so that -3*v**3/2 - 15*v**2/2 + 51*v/2 + 63/2 = 0.
-7, -1, 3
Factor -j**4 - 4*j**3 - 4*j**2.
-j**2*(j + 2)**2
What is o in o**3 + 102*o**2 - o - 102 = 0?
-102, -1, 1
Let -2*s**4 - 24*s**3 - 72*s**2 = 0. What is s?
-6, 0
Solve 5*o**3/4 - 10*o**2 - 405*o/4 + 810 = 0 for o.
-9, 8, 9
Factor -2*v**2 + 112*v - 990.
-2*(v - 45)*(v - 11)
Factor 3*a**3/4 + 21*a**2/4 - 51*a/2 - 30.
3*(a - 4)*(a + 1)*(a + 10)/4
Factor -2*s**3/7 + 320*s**2/7 - 1782*s - 26244/7.
-2*(s - 81)**2*(s + 2)/7
Factor 14*a**2/15 + 3664*a/15 - 1048/15.
2*(a + 262)*(7*a - 2)/15
Find l such that -4*l**2/7 - 1524*l/7 - 3032/7 = 0.
-379, -2
Factor -2*g**3/9 - 182*g**2/9 + 572*g/9 + 752/9.
-2*(g - 4)*(g + 1)*(g + 94)/9
Factor -140*c**2/3 + 5105*c/3 + 490.
-5*(4*c - 147)*(7*c + 2)/3
Let -3*f**5 - 60*f**4 + 876*f**3 - 750*f**2 - 873*f + 810 = 0. Calculate f.
-30, -1, 1, 9
Find y, given that -44*y**3 + 360*y**2 - 592*y + 96 = 0.
2/11, 2, 6
Suppose l**2/4 + 15*l + 59/4 = 0. What is l?
-59, -1
Suppose -18*r**2 - 14*r + 4 = 0. Calculate r.
-1, 2/9
Find s, given that -s**3 - 357*s**2 - 2808*s - 5584 = 0.
-349, -4
Find s such that -2*s**5 + 9*s**4 + 13*s**3 - 39*s**2 - 11*s + 30 = 0.
-2, -1, 1, 3/2, 5
What is y in -3*y**5 - 30*y**4 - 96*y**3 - 96*y**2 = 0?
-4, -2, 0
Factor -4*z**4 + 4*z**3 + 16*z**2 - 16*z.
-4*z*(z - 2)*(z - 1)*(z + 2)
Factor -42*k**2 + 158*k + 40.
-2*(k - 4)*(21*k + 5)
Factor 5*p**4 + 260*p**3 - 4495*p**2 + 8190*p - 3960.
5*(p - 12)*(p - 1)**2*(p + 66)
What is a in -12*a**3 + 92*a**2 + 412*a + 308 = 0?
-7/3, -1, 11
Factor 2*g**2/5 - 198*g + 988/5.
2*(g - 494)*(g - 1)/5
Let 4*c**4/5 + 48*c**3/5 + 144*c**2/5 = 0. Calculate c.
-6, 0
Factor 4*v**5/3 - 2200*v**4/9 + 150880*v**3/9 - 507840*v**2 + 50614720*v/9 + 35819648/9.
4*(v - 46)**4*(3*v + 2)/9
Solve 3*z**5 + 24*z**4 + 66*z**3 + 84*z**2 + 51*z + 12 = 0.
-4, -1
Factor -2*p**3/5 - 6252*p**2/5 + 2502*p - 6256/5.
-2*(p - 1)**2*(p + 3128)/5
Determine r so that 2*r**4/3 + 28*r**3/3 + 80*r**2/3 = 0.
-10, -4, 0
Determine w, given that -w**4/2 + 5*w**3 + 3*w**2/2 - 16*w + 10 = 0.
-2, 1, 10
What is b in b**4 + 171*b**3/4 - 43*b**2/4 = 0?
-43, 0, 1/4
Factor 2*l**4/3 - 58*l**3 - 176*l**2/3.
2*l**2*(l - 88)*(l + 1)/3
Solve w**5 - 7*w**4 - 9*w**3 + 7*w**2 + 8*w = 0.
-1, 0, 1, 8
Find x such that 39*x**5/2 - 588*x**4 + 1728*x**3 - 1851*x**2 + 1545*x/2 - 81 = 0.
2/13, 1, 27
Factor -174*k**2/25 - 488*k/5 - 56/25.
-2*(k + 14)*(87*k + 2)/25
Factor -r**4/3 - 7*r**3/3 + 82*r**2/3 - 212*r/3 + 56.
-(r - 3)*(r - 2)**2*(r + 14)/3
Let -o**4 + 4*o**3 + 9*o**2 - 16*o - 20 = 0. Calculate o.
-2, -1, 2, 5
Factor 3*s**4/4 + 63*s**3 + 3537*s**2/2 + 18711*s + 264627/4.
3*(s + 9)**2*(s + 33)**2/4
Find i such that -i**4/4 - i**3/4 + 7*i**2/2 + 6*i = 0.
-3, -2, 0, 4
Find i such that i**5/5 + 3*i**4 + 89*i**3/5 + 261*i**2/5 + 378*i/5 + 216/5 = 0.
-4, -3, -2
Solve x**2 - 331*x - 332 = 0 for x.
-1, 332
Suppose p**4/4 + 3*p**3 + 29*p**2/4 - 21*p/2 = 0. What is p?
-7, -6, 0, 1
Factor -4*g**5 - 60*g**4 - 176*g**3.
-4*g**3*(g + 4)*(g + 11)
Factor b**5 + b**4 - 12*b**3 - 28*b**2 - 16*b.
b*(b - 4)*(b + 1)*(b + 2)**2
Factor -2*p**3/9 - 4*p**2/3 - 2*p.
-2*p*(p + 3)**2/9
Let -w**2/7 + 870*w/7 - 189225/7 = 0. Calculate w.
435
Factor -4*g**2 + 148*g - 144.
-4*(g - 36)*(g - 1)
Let -60*x**2 - 145*x + 105 = 0. Calculate x.
-3, 7/12
Factor v**3 - 2088*v**2 - 4179*v - 2090.
(v - 2090)*(v + 1)**2
Factor -b**4/5 - 6*b**3/5 + 16*b**2/5.
-b**2*(b - 2)*(b + 8)/5
Let h**3/7 + 5*h**2/7 - 6*h/7 = 0. Calculate h.
-6, 0, 1
Find c such that -c**4 - 4*c**3 + 13*c**2 + 4*c - 12 = 0.
-6, -1, 1, 2
Let -w**3 + 3*w**2/2 + 7*w = 0. Calculate w.
-2, 0, 7/2
Find w, given that 2*w**2/17 - 484*w/17 + 29282/17 = 0.
121
Let 4*n**4/7 + 88*n**3/7 + 628*n**2/7 + 1584*n/7 + 1296/7 = 0. What is n?
-9, -2
Factor 4*q**4 - 304*q**3 + 8640*q**2 - 108800*q + 512000.
4*(q - 20)**3*(q - 16)
F