 - 5*f**3/2 + 5*f**2/2 - 5*f/4 + 1/4.
-(f - 1)**5/4
Factor -6*d**3/11 - 62*d**2/11 - 170*d/11 - 50/11.
-2*(d + 5)**2*(3*d + 1)/11
Let 2*n**3/7 + 68*n**2/7 - 390*n/7 = 0. Calculate n.
-39, 0, 5
Factor -y**2/5 - 278*y/5 - 19321/5.
-(y + 139)**2/5
Solve f**3/3 - 8*f**2/3 + 13*f/3 - 2 = 0 for f.
1, 6
Factor p**2 + 91*p + 178.
(p + 2)*(p + 89)
Factor 2*h**3/7 - 130*h**2/7 + 128*h/7.
2*h*(h - 64)*(h - 1)/7
Solve 201*m**4 - 6237*m**3 + 6216*m**2 - 180*m = 0.
0, 2/67, 1, 30
Find x such that -2*x**4/9 + 76*x**3/9 - 512*x**2/9 + 320*x/3 = 0.
0, 4, 30
Factor 2*j**3/19 - 188*j**2/19 - 10*j.
2*j*(j - 95)*(j + 1)/19
Factor 2*t**3 + 644*t**2 - 650*t - 1292.
2*(t - 2)*(t + 1)*(t + 323)
Factor -5*x**2 - 70*x + 475.
-5*(x - 5)*(x + 19)
Factor -2*b**2 - 4*b - 2.
-2*(b + 1)**2
Factor -3*m**2/2 - 151*m - 100.
-(m + 100)*(3*m + 2)/2
What is c in 5*c**4 + 110*c**3 + 325*c**2 - 3380*c = 0?
-13, 0, 4
Factor 3*v**5/4 + 273*v**4/4 + 6609*v**3/4 + 18219*v**2/4 + 4422*v + 1452.
3*(v + 1)**3*(v + 44)**2/4
Let 3*f**4 - 42*f**3 + 180*f**2 - 246*f + 105 = 0. Calculate f.
1, 5, 7
Find j, given that -8*j**3 + 66*j**2 - 42*j - 116 = 0.
-1, 2, 29/4
Factor -k**2/4 + 131*k/4 + 278.
-(k - 139)*(k + 8)/4
Factor 5*l**4 - 95*l**3 + 465*l**2 + 135*l - 2430.
5*(l - 9)**2*(l - 3)*(l + 2)
Factor 2*h**2/7 + 21488*h/7 + 57716768/7.
2*(h + 5372)**2/7
Factor 2*i**3 - 32*i**2 + 160*i - 256.
2*(i - 8)*(i - 4)**2
Solve z**5 + 110*z**4 - 223*z**3 + 112*z**2 = 0 for z.
-112, 0, 1
Factor 5*i**3 - 40*i**2 - 225*i - 180.
5*(i - 12)*(i + 1)*(i + 3)
Suppose 36*h**5 + 1092*h**4 + 11152*h**3 + 39360*h**2 + 9600*h - 8000 = 0. Calculate h.
-10, -2/3, 1/3
Factor -2*i**4 - 2*i**3 + 14*i**2 + 26*i + 12.
-2*(i - 3)*(i + 1)**2*(i + 2)
Solve -12*q**3 - 1497*q**2 - 2577*q + 738 = 0.
-123, -2, 1/4
Find k such that -3*k**3 - 96*k**2 + 3*k + 96 = 0.
-32, -1, 1
Find b such that 2*b**4/11 + 58*b**3/11 - 138*b**2/11 - 442*b/11 - 248/11 = 0.
-31, -1, 4
Solve -2*l**5/3 + 28*l**3/3 + 8*l**2 - 26*l/3 - 8 = 0.
-3, -1, 1, 4
Let 45*x**3 - 140*x**2 + 105*x - 10 = 0. Calculate x.
1/9, 1, 2
Factor m**2/4 + 503*m/4 - 505/2.
(m - 2)*(m + 505)/4
Find u, given that -5*u**4 - 360*u**3 - 1030*u**2 + 360*u + 1035 = 0.
-69, -3, -1, 1
Factor -4*p**5 + 288*p**4 - 560*p**3.
-4*p**3*(p - 70)*(p - 2)
Factor 145800*z**4 - 290520*z**3 + 143642*z**2 + 1076*z + 2.
2*(z - 1)**2*(270*z + 1)**2
Let 2*g**3/3 + 6*g**2 + 46*g/3 + 10 = 0. What is g?
-5, -3, -1
Factor -25*h**3/4 - 22505*h**2/4 + 4504*h - 901.
-(h + 901)*(5*h - 2)**2/4
What is t in t**2 + 37*t + 340 = 0?
-20, -17
Factor 5*a**3 + 60*a**2 - 665*a.
5*a*(a - 7)*(a + 19)
Let 2*p**2 + 20*p = 0. Calculate p.
-10, 0
Determine h so that 5*h**2 - 105*h + 100 = 0.
1, 20
Factor 3*g**2/5 - 9*g/5 + 6/5.
3*(g - 2)*(g - 1)/5
Let 5*n**3 + 15*n**2 - 20 = 0. Calculate n.
-2, 1
Factor 2*z**2/3 - 2*z/3 - 4/3.
2*(z - 2)*(z + 1)/3
Determine a, given that 2*a**5/3 + 86*a**4/3 + 158*a**3/3 - 82*a**2 = 0.
-41, -3, 0, 1
Factor 3*c**2 + 18408*c + 28237872.
3*(c + 3068)**2
Let 2*q**4 - 2604*q**3 - 2608*q**2 + 2604*q + 2606 = 0. Calculate q.
-1, 1, 1303
Determine x so that 2*x**2/9 + 40*x/9 + 200/9 = 0.
-10
Factor 4*l**5/7 + 12*l**4/7 - 96*l**3/7 + 16*l**2.
4*l**2*(l - 2)**2*(l + 7)/7
Let 2*v**2/13 - 44*v/13 + 80/13 = 0. What is v?
2, 20
Factor 2*k**3 + 1000*k**2 + 998*k.
2*k*(k + 1)*(k + 499)
Factor -4*x**4 + 224*x**3 - 200*x**2 - 1088*x - 660.
-4*(x - 55)*(x - 3)*(x + 1)**2
Factor 3*y**3 + 102*y**2 + 987*y + 2940.
3*(y + 7)**2*(y + 20)
Determine k, given that 3*k**5/5 + 21*k**4/5 - 3*k**3/5 - 21*k**2/5 = 0.
-7, -1, 0, 1
Factor b**5/3 - 2*b**4/3 - 7*b**3/3 - 4*b**2/3.
b**2*(b - 4)*(b + 1)**2/3
Factor -a**2 + 444*a + 445.
-(a - 445)*(a + 1)
Factor -w**5/5 + 3*w**4/5 - 3*w**3/5 + w**2/5.
-w**2*(w - 1)**3/5
Suppose 6*c**2 + 44*c/5 + 14/5 = 0. Calculate c.
-1, -7/15
Suppose 5*b**4 - 70*b**3 - 255*b**2 - 20*b + 340 = 0. What is b?
-2, 1, 17
Determine h so that -4*h**3 - 12*h**2 + 4*h + 12 = 0.
-3, -1, 1
Factor -g**3 + 15*g**2 - 68*g + 84.
-(g - 7)*(g - 6)*(g - 2)
Determine t so that t**3 - 116*t**2 + 229*t - 114 = 0.
1, 114
Determine w so that 2*w**2 + 294*w + 580 = 0.
-145, -2
Factor -y**3/2 - 30*y**2 - 59*y/2.
-y*(y + 1)*(y + 59)/2
Suppose -15*b**3 - 415*b**2 - 1300*b + 480 = 0. Calculate b.
-24, -4, 1/3
Determine s so that 3*s**5 + 43*s**4 - 81*s**3 - 11*s**2 + 78*s - 32 = 0.
-16, -1, 2/3, 1
Factor 4*x**3 + 136*x**2 - 288*x.
4*x*(x - 2)*(x + 36)
Let -k**4 - 2*k**3 + 23*k**2 + 24*k - 144 = 0. What is k?
-4, 3
Solve -14*n**2/19 + 122*n/19 + 36/19 = 0 for n.
-2/7, 9
Suppose -3*s**3 - 5*s**2 - s + 1 = 0. Calculate s.
-1, 1/3
Determine l, given that 3*l**5 + 51*l**4 + 252*l**3 + 324*l**2 = 0.
-9, -6, -2, 0
Factor 2*b**2/19 - 6144*b/19 + 4718592/19.
2*(b - 1536)**2/19
Factor 2*x**4 + 44*x**3 + 242*x**2.
2*x**2*(x + 11)**2
Factor -34596*j**3 - 70680*j**2 - 2992*j - 32.
-4*(j + 2)*(93*j + 2)**2
Suppose -h**3 - 5*h**2 + 6*h = 0. Calculate h.
-6, 0, 1
Factor -z**5 + 8*z**4 - 23*z**3 + 28*z**2 - 12*z.
-z*(z - 3)*(z - 2)**2*(z - 1)
Factor -242*d**3/7 + 1650*d**2/7 + 306*d/7 + 2.
-2*(d - 7)*(11*d + 1)**2/7
Let 2*g**4/11 - 2*g**3 + 36*g**2/11 = 0. Calculate g.
0, 2, 9
Let -3*m**3 + 57*m**2 - 54*m = 0. Calculate m.
0, 1, 18
Factor -o**4/3 - 17*o**3/3 - 8*o**2/3 + 140*o/3 + 64.
-(o - 3)*(o + 2)**2*(o + 16)/3
Solve -25*j**4 + 135*j**3 - 50*j**2 = 0 for j.
0, 2/5, 5
Let s**2/4 - 5*s/2 = 0. What is s?
0, 10
Suppose -18*y**5/5 + 4*y**4/5 + 162*y**3/5 - 108*y**2/5 - 40*y + 48/5 = 0. What is y?
-3, -1, 2/9, 2
Find j, given that -j**5 + 22*j**4/3 - 43*j**3/3 + 4*j**2 = 0.
0, 1/3, 3, 4
What is l in 3*l**3/5 + 78*l**2/5 - 51*l + 174/5 = 0?
-29, 1, 2
Factor -2*r**3/5 - 1416*r**2/5.
-2*r**2*(r + 708)/5
Factor -j**2 - 248*j - 15376.
-(j + 124)**2
Factor -a**2 + 16*a.
-a*(a - 16)
Suppose -2*c**3/5 - 8*c**2/5 - 2*c - 4/5 = 0. Calculate c.
-2, -1
Factor -2*y**2 + 25*y + 13.
-(y - 13)*(2*y + 1)
What is k in -2*k**3/3 - 342*k**2 - 58482*k - 3333474 = 0?
-171
What is k in 15*k**4 - 744*k**3 - 1095*k**2 + 1212*k + 612 = 0?
-2, -2/5, 1, 51
Suppose -2*r**5/5 - 48*r**4/5 + 4*r**3/5 + 96*r**2/5 - 2*r/5 - 48/5 = 0. Calculate r.
-24, -1, 1
Factor 3*s**2/8 - 351*s/4 + 699/8.
3*(s - 233)*(s - 1)/8
Factor 2*o**2 - 26*o + 84.
2*(o - 7)*(o - 6)
Suppose -4*a**3 + 1316*a**2 - 5180*a - 6500 = 0. Calculate a.
-1, 5, 325
What is y in -y**2 - 15*y - 36 = 0?
-12, -3
Determine q, given that -q**3/2 + 5*q**2/2 - 3*q/2 - 9/2 = 0.
-1, 3
Factor -y**4 + y**3 + 17*y**2 + 15*y.
-y*(y - 5)*(y + 1)*(y + 3)
Factor 3*i**2/5 + 42*i/5 + 99/5.
3*(i + 3)*(i + 11)/5
Find f, given that -4*f**3/3 - 3388*f**2/3 - 6740*f - 10092 = 0.
-841, -3
Determine q, given that -2*q**3/9 + 22*q**2 - 130*q/3 + 194/9 = 0.
1, 97
Solve -o**4/2 - 10*o**3 - 19*o**2/2 = 0.
-19, -1, 0
Determine v so that 3*v**5 + 12*v**4 - 84*v**3 + 96*v**2 = 0.
-8, 0, 2
What is m in -2*m**3 + 8*m**2 - 8*m = 0?
0, 2
Factor 3*i**2 + 2130*i - 4272.
3*(i - 2)*(i + 712)
Solve 2*m**5 - 4*m**4 - 40*m**3 + 44*m**2 + 38*m - 40 = 0 for m.
-4, -1, 1, 5
Factor -3*m**2 - 16253*m - 10834.
-(m + 5417)*(3*m + 2)
Factor -a**2/9 - 58*a/3 - 841.
-(a + 87)**2/9
Suppose v**2/4 - 81*v/2 + 6561/4 = 0. Calculate v.
81
Determine o so that -3*o**4 - 105*o**3 - 837*o**2 + 945*o = 0.
-21, -15, 0, 1
Suppose -5*p**2/2 - 4*p - 3/2 = 0. What is p?
-1, -3/5
Factor q**4/4 + 10*q**3 + 19*q**2/2 - 10*q - 39/4.
(q - 1)*(q + 1)**2*(q + 39)/4
Factor -50*n**3/7 - 1410*n**2/7 + 1152*n/7 - 232/7.
-2*(n + 29)*(5*n - 2)**2/7
Find m, given that m**4 + 23*m**3 + 80*m**2 + 76*m = 0.
-19, -2, 0
Find d, given that 5*d**2 - 85*d - 90 = 0.
-1, 18
Factor -368*f**2 - 3679*f/2 + 5/2.
-(f + 5)*(736*f - 1)/2
Find b, given that -3*b**3/4 - 18*b**2 + 81*b/4 + 75/2 = 0.
-25, -1, 2
Solve -21*u**5 - 6348*u**4 - 486933*u**3 - 1089906*u**2 - 744300*u - 135000 = 0.
-150, -1, -2/7
Factor -4*w**2 - 228*w + 232.
-4*(w - 1)*(w + 58)
Let 8*z**5/5 - 14*z**4/5 - 18*z**3/5 + 26*z**2/5 + 2*z - 12/5 = 0. Calculate z.
-1, 3/4, 1, 2
Factor 10*x**3/11 + 52*x**2/11 + 48*x/11.
2*x*(x + 4)*(5*x + 6)/11
Solve -3*n**5 + 51*n**4 - 282*n**3 + 396*n**2 + 1080*n - 2592 = 0.
-2, 3, 4, 6
Factor 5*p**5 - 40*p**4 + 35*p**3.
5*p**3*(p - 7)*(p - 1)
Factor q**4/7 + 2050*q**3/7 + 1046517*q**2/7 - 4210700*q/7 + 4218916/7.
(q - 2)**2*(q + 1027)**2/7
Determine l, given that 4*l**3 - 112*l**2 + 980*l - 2744 = 0.
7, 14