**2 - 824*v - 42436.
-4*(v + 103)**2
Find n, given that -2*n**4 - 2*n**3 + 10*n**2 - 6*n = 0.
-3, 0, 1
Factor i**2/4 + 5*i/4 + 1.
(i + 1)*(i + 4)/4
Determine h, given that -2*h**4/3 + 8*h**3/3 + 164*h**2/3 - 728*h/3 - 294 = 0.
-9, -1, 7
Factor 3*q**2 - 5688*q + 2696112.
3*(q - 948)**2
Suppose 25*l**5 - 165*l**4 + 80*l**3 + 60*l**2 = 0. Calculate l.
-2/5, 0, 1, 6
Factor 2*w**2/11 + 38*w/11 + 156/11.
2*(w + 6)*(w + 13)/11
Factor 5*j**4 + 15*j**3 - 20*j**2 - 60*j.
5*j*(j - 2)*(j + 2)*(j + 3)
Factor -2*r**5/3 - 190*r**4/3 + 64*r**3.
-2*r**3*(r - 1)*(r + 96)/3
Suppose 2*z**2 + 4148*z + 2150738 = 0. What is z?
-1037
Factor 2*w**2/7 + 30*w/7 - 32/7.
2*(w - 1)*(w + 16)/7
Find m such that -3*m**3 + 63*m - 60 = 0.
-5, 1, 4
Factor -5*l**4 - 10*l**3 + 60*l**2 + 200*l + 160.
-5*(l - 4)*(l + 2)**3
Solve 21*o**2 + 81*o - 12 = 0 for o.
-4, 1/7
Suppose o**4 + 7960*o**3 + 15848358*o**2 + 31672840*o + 15832441 = 0. Calculate o.
-3979, -1
Find w such that 5*w**4 + 25*w**3 - 320*w**2 - 1420*w - 1440 = 0.
-9, -2, 8
Factor 5*v**4 - 30*v**3 + 25*v**2.
5*v**2*(v - 5)*(v - 1)
Factor 2*h**2/9 + 928*h/9 + 926/9.
2*(h + 1)*(h + 463)/9
Factor -5*b**2 - 1665*b + 6740.
-5*(b - 4)*(b + 337)
Factor -3*b**4 - 93*b**3 - 261*b**2 - 255*b - 84.
-3*(b + 1)**3*(b + 28)
Find g such that -3*g**2 + 120*g - 228 = 0.
2, 38
Find d such that -d**5/5 - 3*d**4/5 + 24*d**3/5 + 28*d**2/5 - 48*d/5 = 0.
-6, -2, 0, 1, 4
Let -3*y**5/8 + 13*y**4/8 + 55*y**3/8 + 15*y**2/8 - 13*y/2 - 7/2 = 0. Calculate y.
-2, -1, -2/3, 1, 7
Solve 896*l**5/3 + 608*l**4 - 23282*l**3/3 - 52784*l**2/3 + 18042*l + 19220/3 = 0 for l.
-31/8, -2/7, 1, 5
Determine c so that -44*c**3 - 1416*c**2 - 11520*c - 2048 = 0.
-16, -2/11
What is y in -2*y**4 + 14*y**3 + 30*y**2 - 350*y + 500 = 0?
-5, 2, 5
Factor -q**5/8 - 11*q**4/2 + 45*q**3/8.
-q**3*(q - 1)*(q + 45)/8
Factor 4*w**5 - 136*w**4 - 2784*w**3 - 7496*w**2 - 7204*w - 2352.
4*(w - 49)*(w + 1)**3*(w + 12)
Factor -8*i**2 - 668*i + 336.
-4*(i + 84)*(2*i - 1)
Factor 4*n**3 + 332*n**2 + 304*n - 1968.
4*(n - 2)*(n + 3)*(n + 82)
Factor -2*x**3 + 62*x**2 + 88*x - 768.
-2*(x - 32)*(x - 3)*(x + 4)
Factor -i**5 - 5*i**4 - 8*i**3 - 4*i**2.
-i**2*(i + 1)*(i + 2)**2
Find z, given that -5*z**2 - 2875*z = 0.
-575, 0
Let -r**2/2 - 4923*r - 24235929/2 = 0. Calculate r.
-4923
Factor -200*x**2 + 555*x + 135.
-5*(x - 3)*(40*x + 9)
Factor -2*k**4/9 - 2*k**3/3 + 8*k**2/9.
-2*k**2*(k - 1)*(k + 4)/9
Factor 5*t**2 - 5*t.
5*t*(t - 1)
Factor -4*g**3 + 1756*g**2.
-4*g**2*(g - 439)
Suppose 3*a**5 - 18*a**4 + 12*a**3 + 54*a**2 - 15*a - 36 = 0. What is a?
-1, 1, 3, 4
What is c in 5*c**5 - 20*c**4 + 20*c**3 + 10*c**2 - 25*c + 10 = 0?
-1, 1, 2
Factor 4*y**2 + 80*y + 336.
4*(y + 6)*(y + 14)
Determine b, given that -b**2/9 + 2*b/9 - 1/9 = 0.
1
Let s**5 + 161*s**4/3 + 531*s**3 - 5043*s**2 + 9720*s - 2700 = 0. Calculate s.
-30, 1/3, 3
Let -5*z**3 + 16*z**2 - 69*z/5 + 18/5 = 0. What is z?
3/5, 2
Factor -i**2/3 - 967*i/3 - 322.
-(i + 1)*(i + 966)/3
Suppose 3*i**2 - 2724*i + 618348 = 0. What is i?
454
Suppose 18*b**5/11 + 240*b**4/11 + 914*b**3/11 + 604*b**2/11 - 744*b/11 + 144/11 = 0. What is b?
-6, -2, 1/3
Factor 3*d**4 - 112*d**3 - 441*d**2 - 410*d.
d*(d - 41)*(d + 2)*(3*d + 5)
Suppose 2*n**3/5 - 6*n**2/5 - 2*n/5 + 6/5 = 0. What is n?
-1, 1, 3
Factor 5*i**3 + 40*i**2 - 175*i - 1470.
5*(i - 6)*(i + 7)**2
Factor 4*b**2/3 - 152*b/3 - 320/3.
4*(b - 40)*(b + 2)/3
Factor -2*s**3 - 10*s**2 - 16*s - 8.
-2*(s + 1)*(s + 2)**2
Determine l so that -l**2 - 12*l - 35 = 0.
-7, -5
Factor 3*h**3/8 - 1563*h**2/8 + 25152*h + 154449/2.
3*(h - 262)**2*(h + 3)/8
Determine g, given that 2*g**2 + 32*g - 264 = 0.
-22, 6
Factor -2*o**4/7 - 282*o**3/7 - 556*o**2/7.
-2*o**2*(o + 2)*(o + 139)/7
Factor 4*u**5 + 216*u**4 + 1016*u**3 + 1792*u**2 + 1380*u + 392.
4*(u + 1)**3*(u + 2)*(u + 49)
Factor -3*j**3 - 144*j**2 + 147*j.
-3*j*(j - 1)*(j + 49)
Solve 117*y**4 + 84*y**3 - 297*y**2 + 36*y + 60 = 0 for y.
-2, -5/13, 2/3, 1
Solve 2*g**2/21 + 5756*g/21 + 4141442/21 = 0.
-1439
Factor -p**3 + 32*p**2 + 228*p.
-p*(p - 38)*(p + 6)
Factor -g**5/3 - 8*g**4/3 + 20*g**3/3 - 2*g**2/3 - 19*g/3 + 10/3.
-(g - 1)**3*(g + 1)*(g + 10)/3
Determine g, given that -2*g**5 - 10*g**4 + 48*g**3 - 8*g**2 - 64*g = 0.
-8, -1, 0, 2
Suppose -80*v**4 - 868*v**3 + 140*v**2 + 88*v = 0. What is v?
-11, -1/4, 0, 2/5
Find n, given that -290*n**2 - 576*n + 8 = 0.
-2, 2/145
Factor -10*c**3/3 + 1889*c**2/3 + 63*c.
-c*(c - 189)*(10*c + 1)/3
Find d such that -d**3/2 - 107*d**2/2 + 54*d = 0.
-108, 0, 1
Factor 2*x**2/17 - 16*x - 1410/17.
2*(x - 141)*(x + 5)/17
Factor -j**2/3 + 11*j/3 - 6.
-(j - 9)*(j - 2)/3
Factor 3*u**4 - 33*u**3 + 126*u**2 - 204*u + 120.
3*(u - 5)*(u - 2)**3
Factor -2*g**3/11 + 3666*g**2/11 - 1681776*g/11 + 1678112/11.
-2*(g - 916)**2*(g - 1)/11
Suppose 2*a**4 + 792*a**3 + 78408*a**2 = 0. What is a?
-198, 0
Factor j**5/4 - 3*j**4/4 - j**3.
j**3*(j - 4)*(j + 1)/4
Solve -2*y**2/5 + 22*y/5 - 48/5 = 0 for y.
3, 8
Factor 3*q**2 - 216*q - 444.
3*(q - 74)*(q + 2)
Factor -4*f**2/11 - 942*f/11 - 470/11.
-2*(f + 235)*(2*f + 1)/11
Solve -3*i**5/7 + 18*i**4/7 + 180*i**3/7 + 408*i**2/7 + 288*i/7 = 0 for i.
-2, 0, 12
Solve q**3/10 + 3*q**2/2 - q/10 - 3/2 = 0 for q.
-15, -1, 1
Determine o, given that 2*o**3 + 4*o**2 - 6*o = 0.
-3, 0, 1
Find m such that m**4/7 - 4*m**3/7 + 3*m**2/7 + 4*m/7 - 4/7 = 0.
-1, 1, 2
Factor z**2/4 + 193*z/2 + 37249/4.
(z + 193)**2/4
Suppose -3*t**2 + 3018*t - 759027 = 0. Calculate t.
503
Determine f so that -5*f**5 + 165*f**4 - 1890*f**3 + 7290*f**2 + 10935*f - 98415 = 0.
-3, 9
Let 26*j**3/17 - 110*j**2/17 + 6*j - 18/17 = 0. What is j?
3/13, 1, 3
Factor -3*q**5/8 - 3*q**4/8 + 3*q**3/4 + 3*q**2/4 - 3*q/8 - 3/8.
-3*(q - 1)**2*(q + 1)**3/8
Factor -2*j**5/11 + 4*j**4/11 + 4*j**3/11 - 16*j**2/11 + 14*j/11 - 4/11.
-2*(j - 1)**4*(j + 2)/11
Find q such that -3*q**3 + 42*q**2 + 3*q - 42 = 0.
-1, 1, 14
Solve 3*f**5 + 42*f**4 - 465*f**3 - 504*f**2 = 0.
-21, -1, 0, 8
Factor -5*m**5 - 38*m**4 - 64*m**3 + 32*m**2.
-m**2*(m + 4)**2*(5*m - 2)
Suppose -12*p**4 - 237*p**3 - 888*p**2 - 483*p + 180 = 0. Calculate p.
-15, -4, -1, 1/4
Suppose 2*s**5/5 - 56*s**4/5 + 88*s**3/5 + 416*s**2/5 = 0. Calculate s.
-2, 0, 4, 26
Factor 4*h**5 - 28*h**3 + 24*h**2.
4*h**2*(h - 2)*(h - 1)*(h + 3)
Find n such that 3600*n**5 - 4560*n**4 + 484*n**3 + 608*n**2 + 64*n = 0.
-1/6, 0, 4/5
Factor -d**2 + 132*d - 4356.
-(d - 66)**2
What is q in -2*q**3/9 - 4510*q**2/3 - 10170050*q/3 - 22933462750/9 = 0?
-2255
Suppose r**3/5 - 84*r**2/5 = 0. What is r?
0, 84
Factor 2*z**4/3 - 17*z**3/3 + 18*z**2 - 76*z/3 + 40/3.
(z - 2)**3*(2*z - 5)/3
Suppose -2*i**5/3 + 4*i**4/3 + 10*i**3 + 8*i**2/3 - 40*i/3 = 0. What is i?
-2, 0, 1, 5
Determine y, given that 28*y**5 - 792*y**4 + 7784*y**3 - 29376*y**2 + 28188*y - 5832 = 0.
2/7, 1, 9
Factor -54*x**3 + 327*x**2 - 288*x + 15.
-3*(x - 5)*(x - 1)*(18*x - 1)
Factor -2*a**2/11 - 168*a/11 + 522/11.
-2*(a - 3)*(a + 87)/11
Factor -5*l**2 + 5*l + 60.
-5*(l - 4)*(l + 3)
Solve -3*i**3/4 - 21*i**2/2 - 39*i/4 = 0.
-13, -1, 0
Solve 3*l**3/5 + 54*l**2/5 + 243*l/5 = 0.
-9, 0
Factor 4*v**5 - 24*v**4 + 32*v**3.
4*v**3*(v - 4)*(v - 2)
Solve 15*u**5 + 51*u**4 + 18*u**3 = 0 for u.
-3, -2/5, 0
Find f, given that f**4 - 22*f**3 + 131*f**2 - 110*f = 0.
0, 1, 10, 11
Factor 6*z**2/5 - 2121*z/5 + 1059/5.
3*(z - 353)*(2*z - 1)/5
Determine v, given that -57*v**2/8 - 1821*v/4 + 48 = 0.
-64, 2/19
Determine c so that 10*c**4 + 61*c**3 + 94*c**2 - 3*c - 18 = 0.
-3, -1/2, 2/5
Find p, given that -2*p**4 + 28*p**3 - 24*p**2 - 28*p + 26 = 0.
-1, 1, 13
Suppose -2*n**3 - 1492*n**2 + 2990*n - 1496 = 0. What is n?
-748, 1
Solve c**4/4 + 3*c**3/2 - 25*c**2/4 + 9*c/2 = 0 for c.
-9, 0, 1, 2
Determine l so that -l**2 + 1029*l + 2062 = 0.
-2, 1031
Let -6*m**5 + 22*m**4 - 8*m**3 - 40*m**2 + 32*m = 0. Calculate m.
-4/3, 0, 1, 2
Factor 64*g**3/5 + 544*g**2/5 - 284*g/5 + 36/5.
4*(g + 9)*(4*g - 1)**2/5
Determine x, given that 2*x**5/23 + 10*x**4/23 + 10*x**3/23 - 10*x**2/23 - 12*x/23 = 0.
-3, -2, -1, 0, 1
Suppose 2*i**3/7 - 542*i**2/7 - 544*i/7 = 0. Calculate i.
-1, 0, 272
Factor -3*a**2 + 12*a + 36.
-3*(a - 6)*(a + 2)
Suppose j**4/3 - 17*j**3 + 94*j**2 - 548*j/3 + 120 = 0. Calculate j.
2, 45
Find v such that 2*v**4/9 - 22*v**3/9 + 62*v**2/9 - 14*v/3 = 0.
0, 1, 3, 7
Solve -30*g**4 - 21*g**3 + 9*g**2 = 0.
-1, 0, 3/10
