2176 = 0.
-2, -1, 1, 544
Factor -2*k**4/7 - 4*k**3/7 + 62*k**2/7 - 8*k.
-2*k*(k - 4)*(k - 1)*(k + 7)/7
Determine o, given that 16*o**5/3 + 1960*o**4/3 + 79705*o**3/3 + 1062515*o**2/3 - 546325*o/3 + 68921/3 = 0.
-41, 1/4
Factor 2*t**2 - 1236*t + 190962.
2*(t - 309)**2
Factor -2*h**4/3 + 236*h**3/15 - 448*h**2/5 - 192*h/5.
-2*h*(h - 12)**2*(5*h + 2)/15
Factor -l**3 - 9*l**2 - 23*l - 15.
-(l + 1)*(l + 3)*(l + 5)
Let -3*q**2/5 - 66*q/5 + 144/5 = 0. Calculate q.
-24, 2
Factor -45*k**2 - 145*k - 30.
-5*(k + 3)*(9*k + 2)
Factor -2*m**3/5 - 104*m**2/5 + 2358*m/5 - 2268.
-2*(m - 9)**2*(m + 70)/5
Factor r**2/6 + r/6 - 55/3.
(r - 10)*(r + 11)/6
Factor 2*f**2 - 112*f + 110.
2*(f - 55)*(f - 1)
Factor 4*a**2 + 3196*a - 12848.
4*(a - 4)*(a + 803)
Factor -2*v**3/9 - 104*v**2/3 - 5408*v/3 - 281216/9.
-2*(v + 52)**3/9
What is n in n**5/7 + 5*n**4/7 + 3*n**3/7 - 9*n**2/7 = 0?
-3, 0, 1
Factor 245*o**2/2 - 725*o/2 - 15.
5*(o - 3)*(49*o + 2)/2
Factor -2*d**2/7 - 6*d/7.
-2*d*(d + 3)/7
Solve 72*l**4/7 + 456*l**3/7 + 794*l**2/7 + 228*l/7 + 18/7 = 0.
-3, -1/6
Factor f**2/4 - 325*f/4 + 81.
(f - 324)*(f - 1)/4
Let 4*f**4/5 + 8*f**3/5 - 28*f**2/5 + 16*f/5 = 0. What is f?
-4, 0, 1
Solve 3*q**3/5 + 6*q**2/5 - 33*q/5 - 36/5 = 0 for q.
-4, -1, 3
Solve 8*c**4/7 - 8*c**3 - 1014*c**2/7 + 6992*c/7 + 7942/7 = 0 for c.
-11, -1, 19/2
Factor -25*u**3 + 50*u**2 - 31*u + 6.
-(u - 1)*(5*u - 3)*(5*u - 2)
Determine g, given that -57*g**5/4 - 127*g**4/4 - 81*g**3/4 - 9*g**2/4 + g/2 = 0.
-1, -1/3, 0, 2/19
Factor 2*k**3/3 - 6*k**2 + 40*k/3.
2*k*(k - 5)*(k - 4)/3
Determine p so that -3*p**2/8 + 1185*p/8 - 1179/4 = 0.
2, 393
Suppose -8*n**4/5 + 4*n**3 - 16*n**2/5 + 4*n/5 = 0. Calculate n.
0, 1/2, 1
What is r in 4*r**5 - 248*r**4/7 - 344*r**3/7 + 208*r**2/7 + 316*r/7 + 40/7 = 0?
-1, -1/7, 1, 10
Determine b, given that 4*b**5 - 184*b**4 - 776*b**3 - 1184*b**2 - 796*b - 200 = 0.
-1, 50
What is l in 3*l**3 - 3*l**2 - 51*l - 45 = 0?
-3, -1, 5
Factor 4*i**2 - 268*i + 520.
4*(i - 65)*(i - 2)
Let -u**2/2 + 11*u - 36 = 0. Calculate u.
4, 18
Suppose 15*h**3/2 + 37*h**2 + 34*h - 20 = 0. What is h?
-10/3, -2, 2/5
Factor 10*h**2/3 + 1294*h/9 + 172/9.
2*(h + 43)*(15*h + 2)/9
Factor -3*r**2/5 - 6498*r - 17593335.
-3*(r + 5415)**2/5
Factor 3*k**2 - 117*k + 510.
3*(k - 34)*(k - 5)
Find m such that m**4/3 - 13*m**3/3 + 22*m**2/3 = 0.
0, 2, 11
Factor 2*j**3 - 80*j**2.
2*j**2*(j - 40)
Suppose 3*v**2 + 9*v - 390 = 0. What is v?
-13, 10
Let 2*i**4 + 2*i**3 = 0. What is i?
-1, 0
Factor -5*m**2 - 90*m - 400.
-5*(m + 8)*(m + 10)
Determine g so that -3*g**4 - 12*g**3 + 3*g**2 + 48*g + 36 = 0.
-3, -2, -1, 2
Factor 35*j**2 - 8390*j - 2400.
5*(j - 240)*(7*j + 2)
Determine t so that -2*t**2/5 + 78*t/5 + 2052/5 = 0.
-18, 57
Find m such that m**2/2 + 15*m - 31/2 = 0.
-31, 1
What is r in -3*r**2/5 - 9*r - 78/5 = 0?
-13, -2
Solve 3*c**3/2 + 33*c**2/2 + 45*c = 0 for c.
-6, -5, 0
Solve 12*a**4 - 112*a**3 - 84*a**2 + 40*a = 0.
-1, 0, 1/3, 10
Factor -2*g**2 - 432*g - 23328.
-2*(g + 108)**2
Determine t so that -t**4 - 18*t**3 - 71*t**2 - 78*t = 0.
-13, -3, -2, 0
Suppose -2*y**3/7 - 10*y**2/7 - 16*y/7 - 8/7 = 0. What is y?
-2, -1
Suppose -3*o**4 - 42*o**3 + 51*o**2 + 90*o = 0. What is o?
-15, -1, 0, 2
What is d in -5*d**5 + 30*d**4 + 320*d**3 - 1990*d**2 - 315*d + 1960 = 0?
-8, -1, 1, 7
Suppose 4*i**4 + 12*i**3 - 96*i**2 + 112*i = 0. Calculate i.
-7, 0, 2
Factor -2*d**2 - 298*d + 300.
-2*(d - 1)*(d + 150)
Factor a**3/4 + 13*a**2/4 - 5*a - 21.
(a - 3)*(a + 2)*(a + 14)/4
Determine m so that -5*m**3 + 380*m**2 + 395*m - 770 = 0.
-2, 1, 77
Factor -68*x**2 + 84*x + 104.
-4*(x - 2)*(17*x + 13)
Suppose 4*p**4 + 28*p**3 + 36*p**2 - 108*p - 216 = 0. Calculate p.
-3, 2
Determine d so that 2*d**3/5 + 34*d**2/5 - 36*d/5 = 0.
-18, 0, 1
Find h, given that -2*h**3/9 + 404*h**2/3 - 806*h/3 + 1208/9 = 0.
1, 604
Factor 4*y**3/5 + 261*y**2/5 + 2769*y/5 + 676/5.
(y + 13)*(y + 52)*(4*y + 1)/5
Factor -2*n**4 - 12*n**3 - 16*n**2.
-2*n**2*(n + 2)*(n + 4)
Factor -2*g**2/15 + 88*g/5 - 2904/5.
-2*(g - 66)**2/15
Factor -r**4 - 7*r**3 + 9*r**2 + 7*r - 8.
-(r - 1)**2*(r + 1)*(r + 8)
Factor -2*b**4/5 + 188*b**3/5 - 2402*b**2/5 - 94752*b/5 - 508032/5.
-2*(b - 56)**2*(b + 9)**2/5
Solve -y**2/4 - 39*y/4 + 10 = 0.
-40, 1
Find v such that 324*v**3/7 - 4932*v**2/7 + 1084*v/7 - 60/7 = 0.
1/9, 15
Factor 5*w**3 + 925*w**2 + 3595*w - 4525.
5*(w - 1)*(w + 5)*(w + 181)
Factor 2*m**3/9 + 104*m**2/9 - 24*m.
2*m*(m - 2)*(m + 54)/9
Solve v**4/2 - v**3 - 2*v**2 + v + 3/2 = 0 for v.
-1, 1, 3
Factor -n**3/5 + 2*n**2 + 13*n/5 - 22/5.
-(n - 11)*(n - 1)*(n + 2)/5
Let 2*n**2 - 1206*n - 1208 = 0. Calculate n.
-1, 604
Factor 3*s**3 - 90*s**2 + 171*s - 84.
3*(s - 28)*(s - 1)**2
Factor 3*s**2 - 1260*s + 132300.
3*(s - 210)**2
Determine i so that -i**5/2 - i**4/2 + 13*i**3/2 + i**2/2 - 6*i = 0.
-4, -1, 0, 1, 3
Factor 3*t**3/5 - 588*t**2/5.
3*t**2*(t - 196)/5
Let -2*m**2/15 - 44*m/15 - 16/3 = 0. Calculate m.
-20, -2
Factor -t**2/4 - 2787*t/4 + 697.
-(t - 1)*(t + 2788)/4
Factor -4*q**2 + 17776*q - 19749136.
-4*(q - 2222)**2
Let 2*x**3/9 - 4*x**2/9 - 26*x/9 - 20/9 = 0. What is x?
-2, -1, 5
What is o in -o**4/4 + 2*o**3 - 7*o**2/4 = 0?
0, 1, 7
Determine p, given that 3*p**4 + 57*p**3 + 183*p**2 + 27*p - 270 = 0.
-15, -3, -2, 1
Determine z, given that 5*z**3 - 25*z**2 + 30*z = 0.
0, 2, 3
Let o**5 - 356*o**4 + 33421*o**3 - 310394*o**2 + 968800*o - 957728 = 0. What is o?
2, 4, 173
Factor 2*j**5 - 12*j**4 - 40*j**3 + 48*j**2 + 128*j.
2*j*(j - 8)*(j - 2)*(j + 2)**2
Factor -4*j**2/7 - 1672*j/7 - 3328/7.
-4*(j + 2)*(j + 416)/7
Factor -2*n**2/11 - 14*n/11 - 20/11.
-2*(n + 2)*(n + 5)/11
Factor -5*p**4 + 50*p**3 - 115*p**2 + 70*p.
-5*p*(p - 7)*(p - 2)*(p - 1)
Factor 18*k**5 + 120*k**4 + 290*k**3 + 300*k**2 + 120*k + 16.
2*(k + 2)**3*(3*k + 1)**2
Factor 9*y**3/7 + 12*y**2/7 - 15*y - 36/7.
3*(y - 3)*(y + 4)*(3*y + 1)/7
Factor -15*m**3 + 63*m**2 - 12*m.
-3*m*(m - 4)*(5*m - 1)
What is x in -2*x**2 + 322*x/3 - 212/3 = 0?
2/3, 53
Factor m**3 + 814*m**2/7 - 587*m/7 - 234/7.
(m - 1)*(m + 117)*(7*m + 2)/7
What is w in 2*w**3/3 - 80*w**2 + 2958*w - 31212 = 0?
18, 51
Let 3*u**5 + 21*u**4 + 6*u**3 - 120*u**2 = 0. What is u?
-5, -4, 0, 2
Factor -3*b**2/8 + 117*b/8 - 297/4.
-3*(b - 33)*(b - 6)/8
Let -2*n**3/7 - 4*n**2 - 8*n + 240/7 = 0. What is n?
-10, -6, 2
Factor 54*z**4 + 204282*z**3 + 204246*z**2 + 68078*z + 7564.
2*(z + 3782)*(3*z + 1)**3
Solve t**5 + 4*t**4 - 16*t**2 - 16*t = 0 for t.
-2, 0, 2
Factor 2*d**4/3 - 112*d**3/3 + 1676*d**2/3 - 1008*d + 486.
2*(d - 27)**2*(d - 1)**2/3
Find m, given that -20*m**4/3 + 272*m**3/3 - 748*m**2/3 + 256*m/3 + 80 = 0.
-2/5, 1, 3, 10
Solve 3*l**2/5 + 744*l/5 + 46128/5 = 0.
-124
Factor 5*q**2 + 210*q + 2205.
5*(q + 21)**2
Suppose 4*s**5/5 + 24*s**4/5 - 328*s**3/5 - 2672*s**2/5 - 4284*s/5 - 392 = 0. Calculate s.
-7, -1, 10
Factor -7*l**4 - 9*l**3 + 82*l**2 + 24*l.
-l*(l - 3)*(l + 4)*(7*l + 2)
Determine y so that -3*y**4 + 9*y**3 + 12*y**2 = 0.
-1, 0, 4
Determine t so that -t**3 + 25*t = 0.
-5, 0, 5
Let 4*o**4 - 296*o**3 + 2164*o**2 + 122544*o + 685584 = 0. What is o?
-9, 46
Suppose -16*n**5/7 - 32*n**4/7 + 7*n**3 + 2*n**2/7 - 3*n/7 = 0. What is n?
-3, -1/4, 0, 1/4, 1
Suppose -d**3/2 - 25*d**2 - 238*d - 380 = 0. Calculate d.
-38, -10, -2
Suppose 3*d**4 + 12*d**3 + 9*d**2 - 12*d - 12 = 0. What is d?
-2, -1, 1
Let 4*g**5 + 108*g**4 + 600*g**3 + 800*g**2 = 0. What is g?
-20, -5, -2, 0
Solve -168*o**2/5 - 66*o/5 + 9/5 = 0.
-1/2, 3/28
Solve -t**2/2 - 174*t + 349/2 = 0.
-349, 1
Suppose -2*c**4/5 + 48*c**3/5 - 288*c**2/5 = 0. Calculate c.
0, 12
Determine m so that 4*m**3/5 + 32*m**2/5 + 12*m = 0.
-5, -3, 0
Factor -x**2/2 - 4*x + 65/2.
-(x - 5)*(x + 13)/2
What is l in 4*l**5 - 12*l**4 - 296*l**3 + 120*l**2 + 4900*l + 4500 = 0?
-5, -1, 5, 9
Suppose a**2 - 44*a + 484 = 0. What is a?
22
Find i, given that 14*i**3/11 - 402*i**2/11 + 276*i/11 + 112/11 = 0.
-2/7, 1, 28
Factor 125*j**4 - 650*j**3 + 545*j**2 + 780*j + 180.
5*(j - 3)**2*(5*j + 2)**2
Factor -n**2/4 - 15*n/4.
-n*(n + 15)/4
Suppose 4*n**4 + 2428*n**3 + 364764*n**2 - 1126060*n - 1488400 = 0. Calculate n.
-305, -1, 4
Determine n so that n**4/3 + 52*n**3/3 - 575*n**2 = 0.
-75, 0, 23
Factor -v**2/5 - 787*v/5 - 1092.
-(v + 7)*(v + 780)/5
Factor -3*x**2 + 3132*x + 3135.
-3*(x - 1045)*(x + 1)
Factor -o**2/7 - 26*o/7 - 25/7.
-(o + 1)*(o 