m + 40)
Factor 3*g**2/5 + 54*g/5 + 96/5.
3*(g + 2)*(g + 16)/5
Factor 9*w**3 + 16*w**2 - 145*w.
w*(w + 5)*(9*w - 29)
Factor -4*k**2 + 32*k.
-4*k*(k - 8)
Factor -j**4/5 + j**3 - 3*j**2/5 - j + 4/5.
-(j - 4)*(j - 1)**2*(j + 1)/5
Factor t**5 + 7*t**4 + 18*t**3 + 20*t**2 + 8*t.
t*(t + 1)*(t + 2)**3
Factor -5*v**4/6 - 13034*v**3/3 - 7549872*v**2 - 13115636248*v/3 + 5249879272/3.
-(v + 1738)**3*(5*v - 2)/6
Determine h so that 2*h**5/17 - 52*h**4/17 - 452*h**3/17 - 344*h**2/17 + 450*h/17 + 396/17 = 0.
-6, -1, 1, 33
Factor 2*w**2 + 128*w + 2048.
2*(w + 32)**2
Let 2*h**5/13 - 8*h**4/13 - 14*h**3/13 + 68*h**2/13 - 48*h/13 = 0. What is h?
-3, 0, 1, 2, 4
Suppose -w**2/2 + 56*w - 1568 = 0. What is w?
56
Factor 3*x**2/2 - 171*x/2.
3*x*(x - 57)/2
Suppose 4*m**3 + 28*m**2 + 32*m - 64 = 0. What is m?
-4, 1
Find a, given that 5*a**3 - 4130*a**2 + 852845*a = 0.
0, 413
Factor 7*g**3/2 - 43*g**2 + 213*g/2 - 27.
(g - 9)*(g - 3)*(7*g - 2)/2
Let -i**3/6 - 255*i**2/2 - 65025*i/2 - 5527125/2 = 0. What is i?
-255
Suppose 2*m**4/3 - 116*m**3/3 - 680*m**2 - 10700*m/3 - 18250/3 = 0. What is m?
-5, 73
Find y such that -2*y**2/7 + 4*y/7 = 0.
0, 2
What is c in 1452*c**2 - 660*c + 75 = 0?
5/22
Factor -4*j**2 - 16*j.
-4*j*(j + 4)
Factor 2*i**4/3 + 8*i**3/3 - 64*i**2.
2*i**2*(i - 8)*(i + 12)/3
Determine c, given that 5*c**5/2 + 53*c**4/2 + 195*c**3/2 + 319*c**2/2 + 116*c + 30 = 0.
-5, -2, -1, -3/5
Factor -3*r**2 - 42*r + 153.
-3*(r - 3)*(r + 17)
Determine l, given that -20*l**3 - 72*l**2 + 164*l + 120 = 0.
-5, -3/5, 2
Let -4*v**4 + 40*v**3 - 148*v**2 + 240*v - 144 = 0. What is v?
2, 3
Factor -z**5/2 + 7*z**4 - 49*z**3/2.
-z**3*(z - 7)**2/2
Factor 10*w**2 + 35*w - 75.
5*(w + 5)*(2*w - 3)
Find i such that 4*i**2 - 18752*i + 21977344 = 0.
2344
Suppose 2*n**4/9 - 16*n**3/3 - 112*n**2/3 - 704*n/9 - 160/3 = 0. What is n?
-2, 30
Suppose -5*u**3 - 70*u**2 + 455*u - 380 = 0. Calculate u.
-19, 1, 4
Suppose 2*l**4/7 - 34*l**3/7 + 124*l**2/7 - 32*l/7 - 192/7 = 0. What is l?
-1, 2, 4, 12
Solve 2*o**2 + 23416*o + 68538632 = 0.
-5854
Determine h, given that 9*h**4 - 339*h**3 + 3711*h**2 - 9129*h - 3468 = 0.
-1/3, 4, 17
Factor k**2 + 101*k.
k*(k + 101)
Factor -p**5 + 31*p**4 + 174*p**3 + 220*p**2 - 136*p - 288.
-(p - 36)*(p - 1)*(p + 2)**3
Find c such that 14*c**2 - 241*c - 70 = 0.
-2/7, 35/2
Solve 9*p**4/4 + 147*p**3 + 757*p**2/4 - 351*p/2 + 32 = 0 for p.
-64, -2, 1/3
Determine w so that 2*w**4 - 44*w**3 + 210*w**2 - 296*w + 128 = 0.
1, 4, 16
Solve 3*q**4 - 108*q**3 - 78*q**2 + 18900*q + 91875 = 0 for q.
-7, 25
Factor 54*u**2/13 + 30*u/13 - 4/13.
2*(3*u + 2)*(9*u - 1)/13
Solve 10*b**5/7 + 74*b**4/7 + 148*b**3/7 + 48*b**2/7 = 0.
-4, -3, -2/5, 0
Factor -231*n**2/2 - 235*n/4 - 1/2.
-(2*n + 1)*(231*n + 2)/4
Find g, given that 5*g**5 - 75*g**4 + 340*g**3 - 300*g**2 - 720*g = 0.
-1, 0, 4, 6
Solve 11*g**4 - 101*g**3 + 7*g**2 + 101*g - 18 = 0 for g.
-1, 2/11, 1, 9
Factor -l**3/9 + 79*l**2/9.
-l**2*(l - 79)/9
Find q, given that -20*q**4 - 47*q**3 + 37*q**2 - 6*q = 0.
-3, 0, 1/4, 2/5
Factor m**2/2 + 19*m/2 - 21.
(m - 2)*(m + 21)/2
Suppose -4*j**2 + 80*j - 144 = 0. Calculate j.
2, 18
What is p in p**2/4 - 9*p/4 + 5 = 0?
4, 5
Factor -2*f**5/11 + 18*f**4/11 - 52*f**3/11 + 68*f**2/11 - 42*f/11 + 10/11.
-2*(f - 5)*(f - 1)**4/11
Let -837*b**2 + 1716*b/7 - 12/7 = 0. What is b?
2/279, 2/7
Factor 2*a**2 + 916*a + 104882.
2*(a + 229)**2
Find l, given that 16*l**3/3 + 616*l**2/3 + 2323*l + 6348 = 0.
-69/4, -4
Find p, given that 3*p**4/5 - 48*p**3 - 1512*p**2/5 - 3072*p/5 - 2064/5 = 0.
-2, 86
Factor 2*n**3 - 4*n**2 - 16*n.
2*n*(n - 4)*(n + 2)
Factor -5*n**3 + 10*n**2 + 95*n - 100.
-5*(n - 5)*(n - 1)*(n + 4)
Determine g so that -4*g**5 + 20*g**4 + 24*g**3 - 152*g**2 + 172*g - 60 = 0.
-3, 1, 5
Find u such that -u**3 + 10*u**2 - 27*u + 18 = 0.
1, 3, 6
Determine n, given that -4*n**4/3 - 66*n**3/5 + 8*n**2/5 + 8*n/3 = 0.
-10, -2/5, 0, 1/2
Find i such that 896*i**3/3 - 48*i**2 - 116*i/3 + 8 = 0.
-3/8, 1/4, 2/7
Solve 5*w**2 + 95*w - 3900 = 0 for w.
-39, 20
Solve -3*o**2/8 + 3*o/2 + 9/2 = 0 for o.
-2, 6
Suppose k**3/2 + 99*k**2/2 - 50*k = 0. What is k?
-100, 0, 1
Let -5*k**2 + 3660*k - 669780 = 0. What is k?
366
Let -p**4/3 - 11*p**3/3 + p**2 + 35*p/3 + 22/3 = 0. Calculate p.
-11, -1, 2
Determine k, given that -k**2/5 + 456*k/5 - 51984/5 = 0.
228
Factor 2*w**4 - 62*w**3 - 140*w**2 + 248*w + 528.
2*(w - 33)*(w - 2)*(w + 2)**2
Factor 5*q**2 + 1220*q - 2460.
5*(q - 2)*(q + 246)
Factor -10*r**3 + 26*r**2 + 52*r + 16.
-2*(r - 4)*(r + 1)*(5*r + 2)
Solve -3*a**2/7 - 468*a/7 - 465/7 = 0.
-155, -1
Let -2*t**3/3 - 2*t**2 + 50*t/3 - 14 = 0. Calculate t.
-7, 1, 3
Determine u, given that 2*u**5/9 - 178*u**4/9 + 4046*u**3/9 - 3694*u**2/9 - 4048*u/9 + 3872/9 = 0.
-1, 1, 44
What is o in 3*o**3 - 12*o**2 - 21*o + 30 = 0?
-2, 1, 5
Factor 12*i**3 + 99*i**2 + 216*i + 48.
3*(i + 4)**2*(4*i + 1)
Find h, given that 2*h**3/3 + 26*h**2/3 + 34*h + 42 = 0.
-7, -3
Factor -5*r**2 - 195*r + 4050.
-5*(r - 15)*(r + 54)
Determine v, given that -3*v**3 - 6*v**2 + 45*v + 108 = 0.
-3, 4
Suppose -4*n**2/7 - 2356*n/7 - 7032/7 = 0. Calculate n.
-586, -3
Factor -k**4 - 6*k**3 - 9*k**2 - 4*k.
-k*(k + 1)**2*(k + 4)
Suppose b**5/6 - b**4/6 - 14*b**3/3 + 38*b**2/3 - 8*b = 0. Calculate b.
-6, 0, 1, 2, 4
What is k in -4*k**4/5 - 512*k**3/5 + 636*k**2 - 4824*k/5 = 0?
-134, 0, 3
Suppose -2*y**3 + 4*y**2 + 26*y + 20 = 0. Calculate y.
-2, -1, 5
Let q**2/6 + 39*q/2 + 58/3 = 0. What is q?
-116, -1
Solve -k**5/7 + k**4 - k**3 - 23*k**2/7 + 44*k/7 - 20/7 = 0 for k.
-2, 1, 2, 5
Factor 2*s**4/15 - 2*s**3/5 + 4*s**2/15.
2*s**2*(s - 2)*(s - 1)/15
Factor 3*v**2/4 - 129*v/4 + 90.
3*(v - 40)*(v - 3)/4
Find k, given that -5*k**5 - 1095*k**4 - 61515*k**3 - 165265*k**2 + 519480*k - 291600 = 0.
-108, -5, 1
What is u in 27*u**5/8 + 171*u**4/8 + 381*u**3/8 + 393*u**2/8 + 24*u + 9/2 = 0?
-3, -1, -2/3
Determine v, given that -3*v**3 + 300*v**2 - 297*v = 0.
0, 1, 99
Solve -m**5/2 - 4*m**4 - 9*m**3 - 8*m**2 - 5*m/2 = 0 for m.
-5, -1, 0
Suppose -15*p**5 - 35*p**4 + 125*p**3 + 315*p**2 + 90*p = 0. Calculate p.
-3, -2, -1/3, 0, 3
Let -5*k**2 - 295*k - 1590 = 0. Calculate k.
-53, -6
Solve x**5/7 + 26*x**4/7 + 268*x**3/7 + 1368*x**2/7 + 3456*x/7 + 3456/7 = 0 for x.
-6, -4
Let -2*s**2 - 2000*s + 2002 = 0. What is s?
-1001, 1
Factor 2*h**3/9 + 182*h**2/9 + 532*h/9 + 352/9.
2*(h + 1)*(h + 2)*(h + 88)/9
Determine f so that 2*f**2/5 + 94*f/5 = 0.
-47, 0
Solve d**5 + d**4 - 6*d**3 - 14*d**2 - 11*d - 3 = 0 for d.
-1, 3
Factor 35*b**3 - 310*b**2 + 160*b + 640.
5*(b - 8)*(b - 2)*(7*b + 8)
Suppose t**2/9 + 35*t/9 - 50 = 0. What is t?
-45, 10
Factor 3*n**5 - 549*n**4 - 1110*n**3.
3*n**3*(n - 185)*(n + 2)
Solve n**2/4 + 127*n/2 = 0 for n.
-254, 0
Factor -i**2/6 - 44*i/3 + 30.
-(i - 2)*(i + 90)/6
Factor 9*w**3 - 106*w**2 + 75*w + 22.
(w - 11)*(w - 1)*(9*w + 2)
Factor 8*v**4 - 60*v**3 + 12*v**2 + 380*v + 300.
4*(v - 5)**2*(v + 1)*(2*v + 3)
Factor -d**2/9 + 211*d/9 - 1030/9.
-(d - 206)*(d - 5)/9
Suppose 50*s**4 + 70*s**3 - 1108*s**2 + 1536*s - 576 = 0. Calculate s.
-6, 4/5, 3
Find t, given that 8*t**4 + 14*t**3 - 4*t**2 = 0.
-2, 0, 1/4
Let 10*n**3/7 - 12*n**2 + 86*n/7 + 12 = 0. What is n?
-3/5, 2, 7
Suppose -u**4/2 - 29*u**3/8 - 25*u**2/4 - 25*u/8 = 0. Calculate u.
-5, -5/4, -1, 0
Factor -2*p**2/11 - 416*p/11 + 2130/11.
-2*(p - 5)*(p + 213)/11
Factor 2*x**2/3 - 338*x - 1016/3.
2*(x - 508)*(x + 1)/3
What is u in -16*u**2 + 92*u + 24 = 0?
-1/4, 6
Factor 2*g**5 - 12*g**4 - 2*g**3 + 12*g**2.
2*g**2*(g - 6)*(g - 1)*(g + 1)
Suppose -49*n**5 + 70*n**4 + 173*n**3 - 278*n**2 + 92*n - 8 = 0. What is n?
-2, 1/7, 2/7, 1, 2
Suppose s**2/4 - 295*s/4 = 0. What is s?
0, 295
Suppose -3*i**5 - 21*i**4 - 54*i**3 - 60*i**2 - 24*i = 0. What is i?
-2, -1, 0
Factor 8*b**5 - 36*b**4 + 60*b**3 - 44*b**2 + 12*b.
4*b*(b - 1)**3*(2*b - 3)
Find m, given that -5*m**4 + 547*m**3 - 15338*m**2 + 20628*m - 5832 = 0.
2/5, 1, 54
What is p in -246*p**4 + 244*p**3 + 494*p**2 + 4*p = 0?
-1, -1/123, 0, 2
Determine b so that 2*b**5/3 + 23*b**4/3 + 83*b**3/3 + 68*b**2/3 - 112*b/3 - 64/3 = 0.
-4, -1/2, 1
Solve -8*x**4 - 476*x**3 + 976*x**2 - 492*x = 0.
-123/2, 0, 1
Solve -j**2 + 133*j - 132 = 0.
1, 132
Factor -s**4/3 + 67*s**3/3 - 406*s**2 + 3200*s/3 - 2048/3.
-(s - 32)**2*(s - 2)*(s - 1)/3
Solve -3*v**3 + 74*v**2 - 139*v + 68 = 0 for v.
1, 68/3
Fac