ctor -w**2/2 + 1112*w - 618272.
-(w - 1112)**2/2
Find l, given that -2*l**4/9 + 4*l**3 - 118*l**2/9 - 44*l = 0.
-2, 0, 9, 11
Find x, given that 3*x**4/8 + 6*x**3 - 225*x**2/8 + 147*x/4 - 15 = 0.
-20, 1, 2
Suppose m**2 + 2062*m + 1062961 = 0. What is m?
-1031
Factor r**3/10 + r**2 + 12*r/5.
r*(r + 4)*(r + 6)/10
Factor 15*f**2/4 + 25*f/4 - 55/2.
5*(f - 2)*(3*f + 11)/4
Solve -207*t**5 - 2481*t**4/5 + 5858*t**3/5 - 612*t**2 + 232*t/5 + 96/5 = 0 for t.
-4, -3/23, 2/5, 2/3
Find n, given that 2*n**3/9 - 16*n**2/9 - 8*n/9 + 64/9 = 0.
-2, 2, 8
Factor 15*h**3 - 715*h**2 + 470*h.
5*h*(h - 47)*(3*h - 2)
Suppose -12*g**5 + 532*g**4 + 24*g**3 - 1064*g**2 - 12*g + 532 = 0. Calculate g.
-1, 1, 133/3
Let l**3/5 - 91*l**2/5 - 37*l - 93/5 = 0. What is l?
-1, 93
What is x in 5*x**4 - 440*x**3 - 1815*x**2 - 2290*x - 920 = 0?
-2, -1, 92
Factor -2*u**5/7 + 20*u**4/7 - 60*u**3/7 + 80*u**2/7 - 50*u/7 + 12/7.
-2*(u - 6)*(u - 1)**4/7
Let -b**2/5 + 44*b/5 - 484/5 = 0. What is b?
22
Suppose 9*y**5 + 168*y**4 + 258*y**3 + 48*y**2 - 51*y = 0. What is y?
-17, -1, 0, 1/3
Let 6*v**4 + 21*v**3 + 21*v**2 + 6*v = 0. What is v?
-2, -1, -1/2, 0
What is u in 6*u**5 - 45*u**4 + 105*u**3 - 90*u**2 + 24*u = 0?
0, 1/2, 1, 2, 4
Find l, given that 5*l**4 - 127*l**3 + 170*l**2 - 48*l = 0.
0, 2/5, 1, 24
Determine c, given that 2*c**4/19 - 24*c**3/19 + 96*c**2/19 - 128*c/19 = 0.
0, 4
Suppose -z**4/5 - 19*z**3/5 - 10*z**2 - 32*z/5 = 0. Calculate z.
-16, -2, -1, 0
Factor -2*i**4 + 38*i**3 - 156*i**2 + 232*i - 112.
-2*(i - 14)*(i - 2)**2*(i - 1)
Factor -2*j**3/11 - 42*j**2/11 - 160*j/11.
-2*j*(j + 5)*(j + 16)/11
Factor 3*d**4 - 90*d**3 - 852*d**2 - 2232*d - 1824.
3*(d - 38)*(d + 2)**2*(d + 4)
Let -196*f**5 - 952*f**4 + 6180*f**3 - 9512*f**2 + 5632*f - 1152 = 0. What is f?
-9, 4/7, 1, 2
Factor 5*m**5 - 20*m**4 - 125*m**3 + 140*m**2.
5*m**2*(m - 7)*(m - 1)*(m + 4)
Factor 2*o**2/3 - 14*o/3 + 8.
2*(o - 4)*(o - 3)/3
Factor -2*a**4/7 - 2*a**3/7 + 36*a**2/7 + 104*a/7 + 80/7.
-2*(a - 5)*(a + 2)**3/7
Factor 16*c**3 - 228*c**2 + 840*c - 196.
4*(c - 7)**2*(4*c - 1)
Suppose 30*c**5 - 236*c**4/3 - 80*c**3 + 928*c**2/3 - 160*c + 64/3 = 0. What is c?
-2, 2/9, 2/5, 2
Determine d, given that -30*d**5 + 5*d**4 + 340*d**3 - 460*d**2 = 0.
-23/6, 0, 2
Factor -3*a**3 - 54*a**2 - 141*a - 90.
-3*(a + 1)*(a + 2)*(a + 15)
Factor -a**2/4 + 35*a/2 - 96.
-(a - 64)*(a - 6)/4
Factor o**2/5 + 29*o/5 - 132/5.
(o - 4)*(o + 33)/5
Factor k**4/4 - k**3/2 - 19*k**2/4 - 7*k - 3.
(k - 6)*(k + 1)**2*(k + 2)/4
Factor -2*k**2 + 76*k - 480.
-2*(k - 30)*(k - 8)
Find c, given that -4*c**5/9 - c**4/3 + c**3 - 2*c**2/9 = 0.
-2, 0, 1/4, 1
Factor -5*z**3 - 75*z**2 - 270*z.
-5*z*(z + 6)*(z + 9)
Factor -3*q**3 + 48*q**2 - 45*q.
-3*q*(q - 15)*(q - 1)
Suppose -2*n**5 + 14*n**4 + 2*n**3 - 14*n**2 = 0. Calculate n.
-1, 0, 1, 7
Factor -2*z**2/21 + 232*z/7 + 2816/21.
-2*(z - 352)*(z + 4)/21
Factor -2*d**3/11 - 20*d**2/11 - 56*d/11 - 48/11.
-2*(d + 2)**2*(d + 6)/11
Factor -4*k**4/5 + 12*k**3/5 + 52*k**2/5 - 12*k.
-4*k*(k - 5)*(k - 1)*(k + 3)/5
Solve k**5/4 + 193*k**4/4 + 11875*k**3/4 + 196243*k**2/4 - 547658*k + 1203052 = 0 for k.
-67, 4
Suppose w**4/2 - 44*w**3 + 85*w**2/2 + 87*w = 0. Calculate w.
-1, 0, 2, 87
Let c**5 + 162*c**4 - 331*c**3 - 488*c**2 + 660*c + 656 = 0. What is c?
-164, -1, 2
Factor 4*d**3/7 - 204*d**2/7.
4*d**2*(d - 51)/7
Factor -d**2 - 25*d - 144.
-(d + 9)*(d + 16)
Determine d so that 2*d**5/7 + 152*d**4/7 + 2570*d**3/7 - 12004*d**2/7 + 2240*d - 6400/7 = 0.
-40, 1, 2
Solve -2*i**5/9 + 26*i**4/9 + 242*i**3/9 - 266*i**2/9 = 0 for i.
-7, 0, 1, 19
Let 5*x**4/4 + 25*x**3/2 - 55*x**2/4 = 0. What is x?
-11, 0, 1
Suppose -2*t**2/3 - 94*t/3 - 60 = 0. Calculate t.
-45, -2
Let 45*q**5 + 45*q**4 - 125*q**3 - 25*q**2 + 80*q - 20 = 0. What is q?
-2, -1, 1/3, 2/3, 1
Let -u**4/2 + 3*u**3/2 - u**2 = 0. What is u?
0, 1, 2
Factor 2*q**5 - 26*q**4 + 94*q**3 - 118*q**2 + 48*q.
2*q*(q - 8)*(q - 3)*(q - 1)**2
Factor 5*k**4 + 2620*k**3 + 514830*k**2 + 44961820*k + 1472499605.
5*(k + 131)**4
Factor -5*z**5 + 25*z**4 - 35*z**3 + 15*z**2.
-5*z**2*(z - 3)*(z - 1)**2
Factor -2*v**2/11 - 560*v/11 - 39200/11.
-2*(v + 140)**2/11
Solve 9*t**4 - 672*t**3 + 4197*t**2 - 8010*t + 3672 = 0.
2/3, 3, 68
Factor 3*q**5 + 30*q**4 + 87*q**3 + 96*q**2 + 36*q.
3*q*(q + 1)**2*(q + 2)*(q + 6)
Factor 4*u**3/7 + 32*u**2/7 + 52*u/7 + 24/7.
4*(u + 1)**2*(u + 6)/7
Find r, given that r**5/4 - r**4/2 - 17*r**3/4 - r**2/2 + 13*r + 10 = 0.
-2, -1, 2, 5
Suppose -5*m**5 - 2435*m**4 + 9805*m**3 - 7385*m**2 - 9800*m + 9820 = 0. What is m?
-491, -1, 1, 2
Solve 2*u**5 - 34*u**4 - 174*u**3 + 106*u**2 + 436*u - 336 = 0.
-4, -2, 1, 21
Determine l so that -2*l**4/15 + 7528*l**3/15 - 3541924*l**2/5 + 6665900968*l/15 - 1568153202722/15 = 0.
941
Suppose y**2 + 52*y + 51 = 0. What is y?
-51, -1
Determine w, given that -w**5/4 + 2*w**4 + w**3/2 - 4*w**2 - w/4 + 2 = 0.
-1, 1, 8
Suppose 4*i**4 + 20*i**3 - 12*i**2 - 180*i - 216 = 0. Calculate i.
-3, -2, 3
Determine w so that w**4/3 + 19*w**3/3 + 26*w**2 + 116*w/3 + 56/3 = 0.
-14, -2, -1
Factor -2*g**3/5 - 90*g**2 - 26814*g/5 - 166334/5.
-2*(g + 7)*(g + 109)**2/5
Factor -i**3 + 31*i**2 + i - 31.
-(i - 31)*(i - 1)*(i + 1)
Let -2*q**5/3 - 10*q**4/3 - 4*q**3 + 4*q**2/3 + 14*q/3 + 2 = 0. Calculate q.
-3, -1, 1
Factor -m**4 + 10*m**3 - 28*m**2 + 24*m.
-m*(m - 6)*(m - 2)**2
Find p, given that 3872*p**5/7 - 39600*p**4/7 + 105650*p**3/7 - 22500*p**2/7 + 1250*p/7 = 0.
0, 5/44, 5
Factor 8*g**2 - 6498*g + 1624.
2*(g - 812)*(4*g - 1)
Suppose 4*g**4/11 + 14*g**3/11 + 6*g**2/11 - 16*g/11 - 8/11 = 0. Calculate g.
-2, -1/2, 1
Determine v so that -2*v**4/23 - 8*v**3/23 + 14*v**2/23 + 68*v/23 + 48/23 = 0.
-4, -2, -1, 3
Let 2*a**3/7 + 6*a**2/7 - 18*a/7 - 54/7 = 0. Calculate a.
-3, 3
Factor b**3/2 - 383*b**2/2 + 18240*b + 18432.
(b - 192)**2*(b + 1)/2
Factor -8*n**2/5 + 54*n/5 + 14/5.
-2*(n - 7)*(4*n + 1)/5
Find r such that 62*r**5/19 + 312*r**4/19 + 506*r**3/19 + 264*r**2/19 + 8*r/19 = 0.
-2, -1, -1/31, 0
Factor 2*v**2/5 + 36*v/5 - 46.
2*(v - 5)*(v + 23)/5
Factor 5*b**2 - 185*b + 510.
5*(b - 34)*(b - 3)
Factor o**3 - 110*o**2 + 832*o - 1632.
(o - 102)*(o - 4)**2
Determine i, given that -7*i**5/4 + 29*i**4/2 - 39*i**3 + 38*i**2 - 8*i = 0.
0, 2/7, 2, 4
Factor -4*f**2/5 + 64/5.
-4*(f - 4)*(f + 4)/5
Find o such that -o**4/4 - 11*o**3/4 - 43*o**2/4 - 69*o/4 - 9 = 0.
-4, -3, -1
Suppose -5*d**3 + 2560*d**2 - 327680*d = 0. What is d?
0, 256
Factor -d**3 + 25*d**2 - 24*d.
-d*(d - 24)*(d - 1)
Factor -4*t**2 - 344*t + 1068.
-4*(t - 3)*(t + 89)
Factor -4*v**3 + 168*v**2 - 1584*v - 3872.
-4*(v - 22)**2*(v + 2)
Let -2*j**2/7 - 186*j/7 + 380/7 = 0. What is j?
-95, 2
Factor -3*a**2/8 + 2169*a/8 + 543/2.
-3*(a - 724)*(a + 1)/8
Determine s, given that -s**4/3 - 178*s**3/3 - 7741*s**2/3 + 5340*s - 2700 = 0.
-90, 1
Factor -4*s**3 - 20*s**2 + 4*s + 20.
-4*(s - 1)*(s + 1)*(s + 5)
Solve 12*b**3 - 16*b**2 - 68*b + 24 = 0.
-2, 1/3, 3
Factor 3*l**4/4 - 9*l**3/2 - 81*l**2/4 - 3*l + 27.
3*(l - 9)*(l - 1)*(l + 2)**2/4
Determine x so that -21*x**5 + 174*x**4 - 237*x**3 - 744*x**2 + 1068*x - 240 = 0.
-2, 2/7, 1, 4, 5
Determine q so that 5*q**3/2 - 65*q**2 - 435*q/2 = 0.
-3, 0, 29
Factor -2*p**3/5 + 14*p**2/5 - 28*p/5 + 16/5.
-2*(p - 4)*(p - 2)*(p - 1)/5
Factor -h**2/7 - 190*h - 63175.
-(h + 665)**2/7
Factor 21*z**3 + 27*z**2 - 36*z - 12.
3*(z - 1)*(z + 2)*(7*z + 2)
Factor 15*m**3 - 4743*m**2 + 5673*m - 945.
3*(m - 315)*(m - 1)*(5*m - 1)
Suppose -6*m**4/5 + 49*m**3/5 + 106*m**2/5 + 41*m/5 - 2 = 0. What is m?
-1, 1/6, 10
Solve 21*a**3/4 - 15*a**2/2 - 411*a/4 + 45 = 0 for a.
-4, 3/7, 5
Factor c**4 + 27*c**3 - 87*c**2 + 89*c - 30.
(c - 1)**3*(c + 30)
Determine d so that -d**3/7 + 758*d**2/7 - 142880*d/7 - 288800/7 = 0.
-2, 380
Factor 15*t**2 + 51*t + 18.
3*(t + 3)*(5*t + 2)
Factor b**2/5 - 1706*b/5 + 727609/5.
(b - 853)**2/5
Factor 3*u**3/4 + 27*u**2/4 + 81*u/4 + 81/4.
3*(u + 3)**3/4
Determine r so that -27*r**4 + 801*r**3 - 2631*r**2 + 1491*r - 234 = 0.
1/3, 3, 26
Factor -4*k**2 - 132*k + 136.
-4*(k - 1)*(k + 34)
Find m, given that -16*m**3/7 - 134*m**2/7 - 48*m/7 = 0.
-8, -3/8, 0
Factor z**5/9 + 26*z**4/9 + 8*z**3 + 70*z**2/9 + 23*z/9.
z*(z + 1)**3*(z + 23)/9
Solve -4*d**5/5 - 404*d**4/5 - 6604*d**3/5 + 189364*d**2/5 - 71456*d + 174928/5 = 0 for d.
-58, 1, 13
Determine r, given that 187*r**3/4 + 937*r**