.
-(m - 16)*(m - 4)*(m - 3)
Determine i so that 2*i**2/15 + 106*i/15 = 0.
-53, 0
Solve 4*q**2/7 + 20*q + 1056/7 = 0.
-24, -11
Factor -243*k**4/5 + 1593*k**3/5 + 744*k**2/5 + 84*k/5.
-3*k*(k - 7)*(9*k + 2)**2/5
Factor -2*d**2/3 - 56*d/3 + 58/3.
-2*(d - 1)*(d + 29)/3
Factor -705*v**3 + 6*v**2 + 705*v - 6.
-3*(v - 1)*(v + 1)*(235*v - 2)
Factor n**3/5 - 11*n**2/5 + 31*n/5 - 21/5.
(n - 7)*(n - 3)*(n - 1)/5
Determine u, given that -45*u**2 - 91*u - 2 = 0.
-2, -1/45
Suppose -21*i**2/2 + 145*i/2 + 7 = 0. Calculate i.
-2/21, 7
Solve -2*z**3 - 10*z**2 - 6*z + 18 = 0.
-3, 1
Factor y**2/6 + 5*y/6 + 2/3.
(y + 1)*(y + 4)/6
Factor 4*b**3 + 12*b**2 - 144*b - 432.
4*(b - 6)*(b + 3)*(b + 6)
Find q such that 28*q**3 - 1028*q**2 + 9280*q + 2736 = 0.
-2/7, 18, 19
Find h, given that -5*h**3/3 - 14*h**2 - 76*h/3 - 8 = 0.
-6, -2, -2/5
Let -2*m**2/9 - 192*m = 0. What is m?
-864, 0
Factor -5*p**2 + 4480*p - 1003520.
-5*(p - 448)**2
Suppose -2*g**3/3 + 182*g**2/3 + 824*g = 0. Calculate g.
-12, 0, 103
Suppose -c**4/2 + c**3 + 8*c**2 - 16*c = 0. Calculate c.
-4, 0, 2, 4
Find m, given that m**5 - 413*m**4 + 823*m**3 - 411*m**2 = 0.
0, 1, 411
Factor -2*a**3 - 62*a**2 - 224*a - 216.
-2*(a + 2)**2*(a + 27)
Factor 10*m**2 - 515*m + 1225.
5*(m - 49)*(2*m - 5)
Factor 3*w**2 + 39*w + 36.
3*(w + 1)*(w + 12)
Factor 26*a**2 + 186*a + 28.
2*(a + 7)*(13*a + 2)
Factor -2*b**3 - 26*b**2 - 38*b + 66.
-2*(b - 1)*(b + 3)*(b + 11)
Suppose 3*o**2 - 678*o + 675 = 0. Calculate o.
1, 225
Suppose -605*j**2/2 + 2585*j - 11045/2 = 0. What is j?
47/11
Factor -q**4 - 300*q**3 + 3*q**2 + 902*q + 600.
-(q - 2)*(q + 1)**2*(q + 300)
What is t in -2*t**3 - 10*t**2 + 36*t + 144 = 0?
-6, -3, 4
Factor -3*k**2/7 + 33*k/7 + 36/7.
-3*(k - 12)*(k + 1)/7
Let -3*v**2 - 216*v + 219 = 0. What is v?
-73, 1
What is d in -d**4 + 5*d**3 + d**2 - 5*d = 0?
-1, 0, 1, 5
Let -6*n**3 - 9*n**2 + 27*n = 0. Calculate n.
-3, 0, 3/2
Factor k**2/9 + 14*k/9 - 80/3.
(k - 10)*(k + 24)/9
Factor 3*z**2/7 + 339*z/7 - 3294/7.
3*(z - 9)*(z + 122)/7
Find r such that -r**2/4 - 91*r/4 - 87 = 0.
-87, -4
Solve -3*v**4/4 + 10*v**3 + 7*v**2/2 - 306*v + 405/4 = 0.
-5, 1/3, 9
Factor n**2/3 + 11*n/3 + 28/3.
(n + 4)*(n + 7)/3
Factor -2*v**3/17 + 644*v**2/17 - 51842*v/17.
-2*v*(v - 161)**2/17
Find n, given that 4*n**4 - 34*n**3/3 + 10*n**2 - 2*n - 2/3 = 0.
-1/6, 1
Factor l**3/3 + 97*l**2 + 9409*l + 912673/3.
(l + 97)**3/3
Solve 5*b**4 + 5*b**3 - 45*b**2 + 55*b - 20 = 0 for b.
-4, 1
Find q, given that -2*q**3/9 + 8*q**2/3 - 22*q/9 = 0.
0, 1, 11
Suppose 2*v**3/3 + 508*v**2/3 - 2*v/3 - 508/3 = 0. Calculate v.
-254, -1, 1
Factor 5*n**2 + 195*n.
5*n*(n + 39)
Find l, given that 2*l**3 - 28*l**2 + 48*l = 0.
0, 2, 12
Factor t**2/6 - t/2 - 2/3.
(t - 4)*(t + 1)/6
Solve -2*m**4/21 - 8*m**3/21 + 2*m**2 = 0 for m.
-7, 0, 3
Factor -3*h**3 - 219*h**2 + 222*h.
-3*h*(h - 1)*(h + 74)
Solve v**4 - 8*v**3 - 47*v**2 - 18*v + 72 = 0 for v.
-3, -2, 1, 12
Factor 3*g**4 + 120*g**3 - 1113*g**2 + 1854*g - 864.
3*(g - 6)*(g - 1)**2*(g + 48)
Factor 2*s**3/9 - 68*s**2/9 - 142*s/9 - 8.
2*(s - 36)*(s + 1)**2/9
Let 3*a**2 - 149*a - 50 = 0. What is a?
-1/3, 50
Solve -2*w**2 - 1132*w - 160178 = 0.
-283
Factor -2*m**2/17 - 126*m/17 + 128/17.
-2*(m - 1)*(m + 64)/17
Suppose 2*o**5/9 - 14*o**4/9 - 10*o**3/9 + 74*o**2/3 - 40*o = 0. What is o?
-4, 0, 3, 5
Factor c**3 - 49*c**2 + 624*c - 576.
(c - 24)**2*(c - 1)
Find m such that 3*m**5/4 - 141*m**4/4 + 135*m**3/4 + 141*m**2/4 - 69*m/2 = 0.
-1, 0, 1, 46
Let 3*o**5/4 + 45*o**4/2 + 63*o**3 + 123*o**2/2 + 81*o/4 = 0. What is o?
-27, -1, 0
Factor -2*j**3/5 + 862*j**2/5 - 1718*j/5 + 858/5.
-2*(j - 429)*(j - 1)**2/5
Factor -k**2 - 536*k + 1076.
-(k - 2)*(k + 538)
Factor 726*i**4/5 - 3696*i**3/5 + 4704*i**2/5.
6*i**2*(11*i - 28)**2/5
Factor -5*r**3 + 120*r**2 + 855*r + 1350.
-5*(r - 30)*(r + 3)**2
Factor 2*o**3 - 44*o**2 + 38*o + 84.
2*(o - 21)*(o - 2)*(o + 1)
Solve m**5/2 - 5*m**4 + 9*m**3/2 = 0 for m.
0, 1, 9
Factor -5*d**3 - 1735*d**2 - 3455*d - 1725.
-5*(d + 1)**2*(d + 345)
Suppose -155*z**3/6 - 154*z**2/3 + 2*z/3 = 0. Calculate z.
-2, 0, 2/155
Factor -9*v**4 - 16*v**3 + 31*v**2 - 6*v.
-v*(v - 1)*(v + 3)*(9*v - 2)
Factor -5*y**4 + 70*y**3 - 285*y**2 + 200*y + 560.
-5*(y - 7)*(y - 4)**2*(y + 1)
Factor p**4/5 + 4*p**3/5 - 4*p**2/5 - 16*p/5.
p*(p - 2)*(p + 2)*(p + 4)/5
Factor -f**5 - 17*f**4 - 14*f**3 + 32*f**2.
-f**2*(f - 1)*(f + 2)*(f + 16)
What is r in -2*r**3/11 - 48*r**2/11 - 226*r/11 - 180/11 = 0?
-18, -5, -1
Factor -4*c**3 - 16*c**2 - 12*c.
-4*c*(c + 1)*(c + 3)
Factor -8247*z**2 + 6*z.
-3*z*(2749*z - 2)
Let -g**2/2 - g + 3/2 = 0. Calculate g.
-3, 1
Factor -3*l**2 + 1077*l - 1074.
-3*(l - 358)*(l - 1)
Factor 2*s**2 - 116*s + 224.
2*(s - 56)*(s - 2)
Determine g so that -g**3/2 - 11*g**2/2 + g/2 + 11/2 = 0.
-11, -1, 1
Find o, given that -o**5/3 - 8*o**4/3 - 11*o**3/3 + 8*o**2/3 + 4*o = 0.
-6, -2, -1, 0, 1
Determine v so that -v**2/11 + 25*v/11 - 24/11 = 0.
1, 24
Let 3*y**2 - 105*y - 882 = 0. Calculate y.
-7, 42
Suppose m**5/4 + 165*m**4/2 - 3*m**3/4 - 248*m**2 - 165*m = 0. What is m?
-330, -1, 0, 2
Factor -2*f**3 + 4*f**2 - 2*f.
-2*f*(f - 1)**2
Factor 2*i**5/13 - 34*i**4/13 + 14*i**3 - 294*i**2/13.
2*i**2*(i - 7)**2*(i - 3)/13
Factor -3*p**2 - 1134*p - 107163.
-3*(p + 189)**2
Factor 5*l**2 + 4475*l.
5*l*(l + 895)
Let -3*d**4 + 192*d**3 - 891*d**2 + 330*d + 1416 = 0. Calculate d.
-1, 2, 4, 59
Factor 2*s**2/9 - 38*s/9 + 4.
2*(s - 18)*(s - 1)/9
Factor -q**2/6 + 23*q/6 - 38/3.
-(q - 19)*(q - 4)/6
What is r in -5*r**4/6 - 25*r**3/6 + 35*r**2 - 190*r/3 + 100/3 = 0?
-10, 1, 2
Factor -b**4/4 + 3*b**3/2 - 3*b**2/4 - 5*b/2.
-b*(b - 5)*(b - 2)*(b + 1)/4
Suppose -5*z**5 - 5*z**4 + 5*z**3 + 5*z**2 = 0. What is z?
-1, 0, 1
Determine u so that 2*u**2 - 230*u + 452 = 0.
2, 113
Suppose x**5/9 + 248*x**4/9 + 15617*x**3/9 + 29266*x**2/9 - 20828*x/3 - 13448 = 0. What is x?
-123, -2, 2
Factor 432*u**4 - 756*u**3 - 207*u**2 - 71*u/4 - 1/2.
(u - 2)*(12*u + 1)**3/4
Factor -3*x**4/4 - 35*x**3/4 - 33*x**2 - 36*x + 16.
-(x + 4)**3*(3*x - 1)/4
Factor t**2/3 + 134*t/3 + 595.
(t + 15)*(t + 119)/3
Factor -c**3 + 590*c**2 - 86432*c - 175232.
-(c - 296)**2*(c + 2)
Find d such that 22*d**2/3 - 64*d/3 - 32 = 0.
-12/11, 4
Factor g**2 + 50*g - 51.
(g - 1)*(g + 51)
Suppose b**5/6 + 53*b**4/3 + 104*b**3/3 - b**2/3 - 209*b/6 - 52/3 = 0. Calculate b.
-104, -1, 1
Suppose h**4 - 71*h**3 - 9*h**2 + 639*h = 0. Calculate h.
-3, 0, 3, 71
What is y in 2*y**2 - 636*y + 50562 = 0?
159
Solve -9*j**4/2 - 93*j**3 + 275*j**2/2 + 122*j + 22 = 0 for j.
-22, -1/3, 2
Suppose -28*v**3 - 108*v**2 + 16*v = 0. What is v?
-4, 0, 1/7
Let -o**2/4 - o/4 + 105/2 = 0. What is o?
-15, 14
Factor 3*j**5 - 276*j**4 - 564*j**3 - 6*j**2 + 561*j + 282.
3*(j - 94)*(j - 1)*(j + 1)**3
Let 2*b**2/3 + 136*b - 414 = 0. Calculate b.
-207, 3
Find u, given that 4*u**3/7 + 12*u**2/7 - 64*u/7 + 48/7 = 0.
-6, 1, 2
Factor -6*b**3/11 + 12*b**2/11 + 30*b - 336/11.
-6*(b - 8)*(b - 1)*(b + 7)/11
Factor -21*l**3 + 2193*l**2 + 1269*l - 945.
-3*(l - 105)*(l + 1)*(7*l - 3)
Suppose -50*t**5/13 + 100*t**4 + 2758*t**3/13 + 1192*t**2/13 - 440*t/13 - 224/13 = 0. Calculate t.
-1, -2/5, 2/5, 28
Factor u**2 + 21*u/5 + 18/5.
(u + 3)*(5*u + 6)/5
Factor -2*a**2 - 88*a + 184.
-2*(a - 2)*(a + 46)
What is m in -2*m**5/9 - 34*m**4/9 - 62*m**3/3 - 350*m**2/9 - 196*m/9 = 0?
-7, -2, -1, 0
Factor p**2/3 + 2*p/3 - 1.
(p - 1)*(p + 3)/3
What is k in k**2 - 216*k + 11664 = 0?
108
Find p, given that -2*p**4/7 + 16*p**3/7 + 68*p**2/7 - 16*p/7 - 66/7 = 0.
-3, -1, 1, 11
Let -l**4/6 + l**3/3 + 2*l**2/3 - 4*l/3 = 0. Calculate l.
-2, 0, 2
Factor -2*j**3/7 + 16*j**2/7 - 2*j.
-2*j*(j - 7)*(j - 1)/7
Factor -4*q**4/3 + 9*q**3 - 17*q**2/3 - 2*q.
-q*(q - 6)*(q - 1)*(4*q + 1)/3
Suppose -120*k**5/13 - 758*k**4/13 - 1294*k**3/13 - 254*k**2/13 + 150*k/13 + 36/13 = 0. Calculate k.
-3, -2/5, -1/4, 1/3
Factor 3*q**3 + 87*q**2 + 672*q + 588.
3*(q + 1)*(q + 14)**2
Determine o so that -18*o**4/11 - 300*o**3/11 + 118*o**2/11 + 24*o - 136/11 = 0.
-17, -1, 2/3
Find t such that t**4/4 - 456*t**3 + 311904*t**2 - 94818816*t + 10809345024 = 0.
456
Factor -y**4/6 + 13*y**2/6 - 2*y.
-y*(y - 3)*(y - 1)*(y + 4)/6
Factor b**3 + 55*b**2 + 1008*b + 6156.
(b + 18)**2*(b + 19)
Find x such that -3*x**3/7 - 198*x**2/7 - 27*x + 390/7 = 0.
-65, -2, 1
Let -50*o**4 - 130*o**3 - 66*o**2 - 62*o/5 - 4/5