+ d**4/2 - d**3/4 = 0. Calculate d.
0, 1
Solve -2*n**4/9 - 1372*n**3/9 + 458*n**2/3 = 0 for n.
-687, 0, 1
Factor 5*x**2 - 5600*x - 5605.
5*(x - 1121)*(x + 1)
Solve -3*k**2/4 + 57*k/4 - 45 = 0.
4, 15
What is o in 2*o**4/3 - 2*o**3 - 2*o**2/3 + 2*o = 0?
-1, 0, 1, 3
Determine h, given that -h**2/5 + 34*h/5 = 0.
0, 34
Factor a**2/5 - 7*a/5 + 2.
(a - 5)*(a - 2)/5
Factor -2*n**4/7 + 716*n**3/7 - 66176*n**2/7 + 371712*n/7.
-2*n*(n - 176)**2*(n - 6)/7
Determine q so that -2*q**4/7 - 44*q**3/7 - 282*q**2/7 - 440*q/7 - 200/7 = 0.
-10, -1
Solve -4*b**5 - 56*b**4 - 244*b**3 - 336*b**2 - 144*b = 0.
-6, -1, 0
Determine c so that -4*c**2 + 436*c + 888 = 0.
-2, 111
Factor 4*d**3/5 + 68*d**2/5 + 176*d/5 + 112/5.
4*(d + 1)*(d + 2)*(d + 14)/5
Determine v so that -4*v**4 - 4*v**3 + 20*v**2 - 12*v = 0.
-3, 0, 1
Factor -2*w**3/3 - 20*w**2/3 + 50*w.
-2*w*(w - 5)*(w + 15)/3
Find c, given that -3*c**2/5 + 792*c/5 - 52272/5 = 0.
132
Suppose -5*w**3/3 + 1300*w**2/3 - 84500*w/3 = 0. Calculate w.
0, 130
Factor 9*b**3 - 795*b**2 + 17688*b - 5808.
3*(b - 44)**2*(3*b - 1)
Determine k, given that 2*k**2/11 + 336*k/11 - 680/11 = 0.
-170, 2
Factor -4*w**5 - 8*w**4 + 8*w**2 + 4*w.
-4*w*(w - 1)*(w + 1)**3
Solve 4*f**5/3 - 1460*f**4/9 + 25192*f**3/9 - 113840*f**2/9 - 13600*f/3 = 0 for f.
-1/3, 0, 10, 102
Solve -36*g**3 - 4*g**2 + 36*g + 4 = 0.
-1, -1/9, 1
Factor -2*a**2/5 - 68*a/5.
-2*a*(a + 34)/5
Factor -y**4 + 4*y**3 + 7*y**2 - 10*y.
-y*(y - 5)*(y - 1)*(y + 2)
Factor 2*a**2 + 6*a - 36.
2*(a - 3)*(a + 6)
Factor 5*v**2 + 12580*v + 7912820.
5*(v + 1258)**2
Suppose -2*f**4/9 + 4*f**3/9 = 0. What is f?
0, 2
Find k, given that -2*k**2/9 - 64*k/9 + 70/3 = 0.
-35, 3
Determine s so that 35*s**5 - 95*s**4 - 135*s**3 + 355*s**2 - 100*s - 60 = 0.
-2, -2/7, 1, 3
Find z, given that 10*z**5 + 29*z**4 - 130*z**3 - 131*z**2 - 30*z = 0.
-5, -1/2, -2/5, 0, 3
Solve 3*h**5 - 105*h**4 + 78*h**3 + 852*h**2 - 1224*h = 0.
-3, 0, 2, 34
Factor 2*m**3/5 - 6*m**2 - 144*m/5 - 152/5.
2*(m - 19)*(m + 2)**2/5
Solve -2*u**3/5 - 132*u**2/5 + 1152*u/5 - 2368/5 = 0 for u.
-74, 4
Suppose o**2/3 - 1090*o + 891075 = 0. What is o?
1635
Let -y**4/6 + 17*y**3/6 + y**2/2 - 53*y/6 + 17/3 = 0. What is y?
-2, 1, 17
Factor -k**5 + 6*k**4 + 7*k**3 - 96*k**2 + 144*k.
-k*(k - 4)*(k - 3)**2*(k + 4)
Factor -3*z**2/8 - 489*z/2 - 975/2.
-3*(z + 2)*(z + 650)/8
Factor -3*s**3/2 + 75*s**2/2 + 24*s - 600.
-3*(s - 25)*(s - 4)*(s + 4)/2
Solve -a**5/5 - 62*a**4/5 - 1174*a**3/5 - 1308*a**2 - 9801*a/5 - 4374/5 = 0.
-27, -6, -1
Find y, given that 3*y**4/8 + 3*y**3 + 39*y**2/8 + 9*y/4 = 0.
-6, -1, 0
Solve 5*r**2 + 230*r - 735 = 0 for r.
-49, 3
Factor u**3/5 - u**2/5 - 4*u/5 + 4/5.
(u - 2)*(u - 1)*(u + 2)/5
Determine w so that -2*w**4/5 + 116*w**3/5 - 456*w**2 + 15884*w/5 - 13718/5 = 0.
1, 19
Find m such that -m**2/6 - 169*m/6 - 110 = 0.
-165, -4
Solve -13778*c**4/5 - 27888*c**3/5 - 666*c**2/5 - 4*c/5 = 0.
-2, -1/83, 0
Factor 3*c**5 - 9*c**3 + 6*c**2.
3*c**2*(c - 1)**2*(c + 2)
Factor -a**4/5 + 2*a**3/5 + 8*a**2/5.
-a**2*(a - 4)*(a + 2)/5
Factor -a**2 - 180*a - 356.
-(a + 2)*(a + 178)
Factor 4*s**4 + 31*s**3 + 56*s**2 - 16*s.
s*(s + 4)**2*(4*s - 1)
Suppose 2*z**2/9 - 934*z/9 + 932/9 = 0. What is z?
1, 466
Determine w so that 80*w**5/3 + 292*w**4/3 - 1252*w**3 + 1076*w**2/3 + 1948*w/3 + 120 = 0.
-9, -2/5, -1/4, 1, 5
Solve 6*n**5/17 - 32*n**4/17 - 254*n**3/17 - 16*n**2 + 120*n/17 = 0.
-3, -2, 0, 1/3, 10
Factor -2*x**3/3 - 658*x**2/3 + 1322*x/3 - 662/3.
-2*(x - 1)**2*(x + 331)/3
Factor -2*g**2 + 248*g - 246.
-2*(g - 123)*(g - 1)
Determine z so that 176*z**4/5 + 504*z**3/5 - 93*z**2/5 - 59*z/5 + 12/5 = 0.
-3, -4/11, 1/4
Factor 3*j**3/4 - 279*j**2/4 - 3*j/4 + 279/4.
3*(j - 93)*(j - 1)*(j + 1)/4
Determine c so that 3*c**3/2 - 132*c**2 + 771*c/2 - 255 = 0.
1, 2, 85
Find h such that -4*h**3 + 204*h**2 - 1424*h - 3696 = 0.
-2, 11, 42
Let -28*x**2/13 - 2*x/13 = 0. What is x?
-1/14, 0
Factor 2*d**3/11 - 2062*d**2/11.
2*d**2*(d - 1031)/11
Factor -d**4/5 + 6*d**3/5 - 11*d**2/5 + 6*d/5.
-d*(d - 3)*(d - 2)*(d - 1)/5
Let -4*l**4 + 3892*l**3 - 948672*l**2 + 944784*l = 0. What is l?
0, 1, 486
Factor -3*v**3/4 - 99*v**2/2 - 1089*v - 7986.
-3*(v + 22)**3/4
Factor -62*l**2 - 252*l - 16.
-2*(l + 4)*(31*l + 2)
Find o such that -o**5/4 - 11*o**4/4 + 11*o**3 + 4*o**2 - 40*o + 28 = 0.
-14, -2, 1, 2
What is d in 3*d**3/7 - 9*d**2 + 285*d/7 - 225/7 = 0?
1, 5, 15
Factor -2*t**3 - 226*t**2 - 6496*t - 6272.
-2*(t + 1)*(t + 56)**2
Let 80*z**5 - 2280*z**4 + 6845*z**3 + 3855*z**2 + 500*z = 0. Calculate z.
-1/4, 0, 4, 25
Factor -f**2/4 + 1261*f/8 + 631/8.
-(f - 631)*(2*f + 1)/8
Let 2*t**3 + 358*t**2 = 0. Calculate t.
-179, 0
Suppose -2*r**2/11 - 4208*r/11 - 2213408/11 = 0. Calculate r.
-1052
Factor -2*h**2/11 + 136*h/11 - 512/11.
-2*(h - 64)*(h - 4)/11
Solve -2*j**4 + 76*j**3/3 - 74*j**2 + 224*j/3 - 24 = 0.
2/3, 1, 2, 9
Find s, given that -2*s**4 - 11*s**3/2 + 39*s**2/2 - 29*s/2 + 5/2 = 0.
-5, 1/4, 1
Factor 2*b**2/3 + 36*b + 462.
2*(b + 21)*(b + 33)/3
What is b in 4*b**4/3 - 38*b**3/3 - 22*b**2 - 2*b/3 + 22/3 = 0?
-1, 1/2, 11
Factor 3*v**5 - 24*v**4 + 18*v**3 + 216*v**2 - 405*v.
3*v*(v - 5)*(v - 3)**2*(v + 3)
Factor u**2/6 + 61*u/6 - 31/3.
(u - 1)*(u + 62)/6
Let 55*s**3 + 155*s**2 - 30*s = 0. What is s?
-3, 0, 2/11
Solve -o**5/5 - 18*o**4/5 + 72*o**3/5 + 194*o**2/5 + 21*o = 0.
-21, -1, 0, 5
Factor 2*p**5 + 32*p**4 + 146*p**3 + 36*p**2 - 648*p + 432.
2*(p - 1)**2*(p + 6)**3
Factor 5*m**2 + 530*m - 535.
5*(m - 1)*(m + 107)
Factor -t**3/6 - 24*t**2 + 147*t/2.
-t*(t - 3)*(t + 147)/6
Determine u so that 9*u**4/4 + 15*u**3 + 27*u**2/4 - 15*u - 9 = 0.
-6, -1, -2/3, 1
Let 28*w**2 + 5048*w + 1440 = 0. Calculate w.
-180, -2/7
Factor 3*u**3/4 - 27*u**2/2.
3*u**2*(u - 18)/4
Suppose -g**5/3 - 80*g**4/3 - 229*g**3/3 + 166*g**2/3 + 932*g/3 + 616/3 = 0. What is g?
-77, -2, -1, 2
Find n such that -6*n**5/5 - 27*n**4 - 57*n**3/5 + 198*n**2/5 = 0.
-22, -3/2, 0, 1
Factor o**3 + 330*o**2.
o**2*(o + 330)
Suppose 3*u**2 + 48*u - 51 = 0. Calculate u.
-17, 1
Suppose 2*l**5/7 - 38*l**3/7 - 68*l**2/7 + 24*l/7 + 80/7 = 0. What is l?
-2, 1, 5
Factor 2*o**3/9 - 134*o**2/3 + 6800*o/3 - 20000/9.
2*(o - 100)**2*(o - 1)/9
Find d, given that -2*d**4/9 - 22*d**3/9 + 4*d**2/9 + 80*d/3 = 0.
-10, -4, 0, 3
Factor -d**2/5 + 11*d/5 + 26/5.
-(d - 13)*(d + 2)/5
Determine y, given that y**3/4 - 3*y**2/2 - y/4 + 3/2 = 0.
-1, 1, 6
Find q such that -3*q**2/4 + 195*q/4 + 99/2 = 0.
-1, 66
Factor 2*i**2/13 - 48*i/13 - 434/13.
2*(i - 31)*(i + 7)/13
Factor a**3/6 + a**2 + a/2 - 5/3.
(a - 1)*(a + 2)*(a + 5)/6
Solve -14*i**4/19 - 172*i**3/19 + 848*i**2/19 + 256*i/19 = 0 for i.
-16, -2/7, 0, 4
What is x in -2*x**2/21 - 298*x/21 + 104 = 0?
-156, 7
Let k**4/2 + 6*k**3 + 11*k**2/2 - 84*k = 0. Calculate k.
-8, -7, 0, 3
Find d such that d**3/6 + 29*d**2/6 - 47*d/3 + 32/3 = 0.
-32, 1, 2
Let -2*k**4 + 46*k**3 + 2*k**2 - 46*k = 0. Calculate k.
-1, 0, 1, 23
Suppose -20*p**5 + 155*p**4 + 1560*p**3 + 2620*p**2 + 560*p = 0. What is p?
-4, -2, -1/4, 0, 14
Factor -237*j**2 + 240*j - 3.
-3*(j - 1)*(79*j - 1)
Factor -45*y**2 - 759*y + 102.
-3*(y + 17)*(15*y - 2)
Factor 49*a**4/3 + 3598*a**3/3 + 21671*a**2 - 38036*a/3 + 5476/3.
(a + 37)**2*(7*a - 2)**2/3
What is k in 5*k**3 - 155*k**2 - 1065*k - 1665 = 0?
-3, 37
Find c, given that -5*c**4/2 + 100*c**3 - 95*c**2 - 100*c + 195/2 = 0.
-1, 1, 39
Find l such that 17*l**3/5 + 32*l**2/5 + 13*l/5 - 2/5 = 0.
-1, 2/17
Factor -4*b**2/3 + 28*b/3 + 32/3.
-4*(b - 8)*(b + 1)/3
Find m, given that 2*m**5 + 34*m**4 + 142*m**3 + 110*m**2 = 0.
-11, -5, -1, 0
Determine x so that -2*x**3/23 + 1160*x**2/23 - 2314*x/23 + 1156/23 = 0.
1, 578
Factor -25*n**3 - 670*n**2 + 3991*n - 5408.
-(n + 32)*(5*n - 13)**2
Factor 4*d**4 - 28*d**3 + 28*d**2 + 60*d.
4*d*(d - 5)*(d - 3)*(d + 1)
Factor b**3/8 + 9*b**2/8 + 15*b/8 + 7/8.
(b + 1)**2*(b + 7)/8
Suppose -3*g**3 - 13995*g**2 - 16314669*g + 16328667 = 0. What is g?
-2333, 1
Find v such that 95*v**4 + 300*v**3 - 335*v**2 - 60*v = 0.
-4, -3/19, 0, 1
Factor d**3 - 11*d**2 + 24*d.
d*(d - 8)*(d - 3)
Factor -3*w**4/8 - 15*w**3/4 - 69*w**2/8 - 21*w/4.
-3*w*(w + 1)*(w + 2)*(w + 7)/8
Find i such that 3*i**4 + 975*i**3 + 5757*i**2 + 4785*i = 0.
-319, -5, -1, 0
Factor 5*t**3/6 + 10*t**2/3 + 5*t/2.
5*t*(t + 1)*(t + 3)/6
Find h such that 2*h**3 + 5*h**2 + 3*h = 0.
-3/2, -1, 0
Solve -2*n**2/5 -