+ 3/2 = 0. What is d?
-3, -1/2, 1
Determine i, given that -2*i**4/3 - 2*i**3 + 8*i/3 = 0.
-2, 0, 1
Factor 4*n**3 + 896*n**2 + 3536*n + 3520.
4*(n + 2)**2*(n + 220)
Factor 5*b**3 + 50*b**2 + 105*b.
5*b*(b + 3)*(b + 7)
Factor 5*g**3 + 955*g**2 + 53320*g + 702620.
5*(g + 19)*(g + 86)**2
Determine p, given that p**3/4 + 57*p**2/4 + 27*p/2 - 28 = 0.
-56, -2, 1
Let -3*a**5 + 9*a**4 + 15*a**3 - 9*a**2 - 12*a = 0. Calculate a.
-1, 0, 1, 4
Determine y, given that -5*y**3/3 - 82*y**2/3 - 172*y/3 - 56/3 = 0.
-14, -2, -2/5
Determine s so that s**2/3 + 35*s/3 - 38 = 0.
-38, 3
Solve y**2/4 - 27*y/2 + 729/4 = 0.
27
Let -2*a**5 + 24*a**4 - 96*a**3 + 164*a**2 - 126*a + 36 = 0. Calculate a.
1, 3, 6
Suppose 3*x**4 - 27*x**3 + 15*x**2 + 279*x - 270 = 0. Calculate x.
-3, 1, 5, 6
Determine z so that -3*z**5 + 84*z**4 - 660*z**3 + 930*z**2 + 663*z - 1014 = 0.
-1, 1, 2, 13
Solve -w**4/6 - 7*w**3/2 = 0.
-21, 0
What is a in -a**5/2 - 15*a**4/2 + 27*a**3/2 + 715*a**2/2 - 363*a = 0?
-11, 0, 1, 6
Factor -4*q**3 - 280*q**2 - 4956*q - 4680.
-4*(q + 1)*(q + 30)*(q + 39)
Suppose -2*k**3/3 + k**2/6 + 3*k = 0. Calculate k.
-2, 0, 9/4
Factor 3*f**2 + 71*f + 46.
(f + 23)*(3*f + 2)
Factor 5*h**2 - 505*h - 510.
5*(h - 102)*(h + 1)
Determine z, given that -2*z**2/23 + 14*z/23 = 0.
0, 7
Factor -2*h**4/21 + 74*h**3/21 - 10*h**2 + 206*h/21 - 68/21.
-2*(h - 34)*(h - 1)**3/21
Suppose 12*t**4 + 374*t**3 + 1396*t**2 + 1254*t + 324 = 0. Calculate t.
-27, -3, -2/3, -1/2
Solve 5*l**2 + 2500*l + 312500 = 0 for l.
-250
Factor -3*i**2 - 15*i - 18.
-3*(i + 2)*(i + 3)
Determine v so that v**4 + v**3 - v**2 - v = 0.
-1, 0, 1
Factor -5*d**3/2 + 25*d**2 - 125*d/2.
-5*d*(d - 5)**2/2
Find f such that -2*f**2/11 - 12*f/11 - 16/11 = 0.
-4, -2
Factor 2*h**5/9 + 620*h**4/3 - 7460*h**3/9 + 11200*h**2/9 - 830*h + 1868/9.
2*(h - 1)**4*(h + 934)/9
Factor 3*m**5 - 6*m**4 - 36*m**3 + 24*m**2 + 96*m.
3*m*(m - 4)*(m - 2)*(m + 2)**2
Let -q**3 - 8*q**2 - 21*q - 18 = 0. What is q?
-3, -2
Determine b, given that 2*b**2/3 + 22*b/3 - 52/3 = 0.
-13, 2
Suppose -d**5/4 - 9*d**4 + 3*d**3/4 + 55*d**2/2 + 18*d = 0. What is d?
-36, -1, 0, 2
Factor -4*w**3 - 3844*w**2 + 4*w + 3844.
-4*(w - 1)*(w + 1)*(w + 961)
Suppose m**2 + 27*m/5 + 2 = 0. Calculate m.
-5, -2/5
Suppose -o**5/4 - 11*o**4/4 - 43*o**3/4 - 73*o**2/4 - 14*o - 4 = 0. What is o?
-4, -1
Factor 2*l**5 + 12*l**4 - 14*l**3 - 120*l**2.
2*l**2*(l - 3)*(l + 4)*(l + 5)
Determine k so that -20*k**5 - 52*k**4 + 264*k**3 + 944*k**2 + 544*k - 384 = 0.
-3, -2, 2/5, 4
Factor -5*r**2 + 5*r + 910.
-5*(r - 14)*(r + 13)
Factor 2*q**2 - 9572*q + 11452898.
2*(q - 2393)**2
Let -2*t**5/5 - 244*t**4/5 + 1528*t**3/5 - 1036*t**2/5 - 1526*t/5 + 256 = 0. Calculate t.
-128, -1, 1, 5
Factor -4*m**4 + 16*m**3 - 8*m**2 - 16*m + 12.
-4*(m - 3)*(m - 1)**2*(m + 1)
What is v in -9*v**3/5 + 106*v**2/5 - 219*v/5 - 54/5 = 0?
-2/9, 3, 9
Factor 15*q**2 + 756*q + 300.
3*(q + 50)*(5*q + 2)
Let 3*j**4/2 + 99*j**3/2 - 213*j**2/2 - 99*j/2 + 105 = 0. What is j?
-35, -1, 1, 2
Solve -3*k**4 - 171*k**3/5 + 303*k**2/5 - 117*k/5 = 0 for k.
-13, 0, 3/5, 1
Let 2*w**4/25 - 4*w**3/25 - 8*w**2/25 + 16*w/25 = 0. What is w?
-2, 0, 2
Find z such that z**3/7 - 54*z**2/7 + 729*z/7 = 0.
0, 27
Let z**4 - 10*z**3 - 17*z**2 + 66*z = 0. Calculate z.
-3, 0, 2, 11
Factor 45*f**4 + 1680*f**3 + 13280*f**2 - 44800*f + 32000.
5*(f + 20)**2*(3*f - 4)**2
Let -121*y**3/4 - 165*y**2/2 - 225*y/4 = 0. What is y?
-15/11, 0
Find s such that 3*s**5 + 15*s**4 - 15*s**3 - 135*s**2 - 108*s = 0.
-4, -3, -1, 0, 3
Let -148*f**3/7 + 3172*f**2 - 833100*f/7 + 22500/7 = 0. What is f?
1/37, 75
Determine w so that -3*w**5 + 12*w**4 + 57*w**3 + 42*w**2 = 0.
-2, -1, 0, 7
Determine c so that -8*c**5 + 132*c**4 - 288*c**3 + 112*c**2 = 0.
0, 1/2, 2, 14
Let -4*i**4/3 + 36*i**3 - 292*i**2/3 - 564*i - 1288/3 = 0. What is i?
-2, -1, 7, 23
Find d such that 196*d**3 + 81844*d**2 + 46720*d + 6672 = 0.
-417, -2/7
Let -4*p**4 - 52*p**3 - 48*p**2 = 0. What is p?
-12, -1, 0
Factor x**3 - 11*x**2 - 12*x.
x*(x - 12)*(x + 1)
Solve p**2 + 962*p + 961 = 0 for p.
-961, -1
Factor -48*s**3 + 484*s**2 - 808*s + 64.
-4*(s - 8)*(s - 2)*(12*s - 1)
Suppose 2*d**3/9 - 9188*d**2/9 - 18382*d/9 - 3064/3 = 0. Calculate d.
-1, 4596
Factor f**4/6 + f**3/3 - 19*f**2/6 + 14*f/3 - 2.
(f - 2)*(f - 1)**2*(f + 6)/6
Find j, given that 3*j**5/8 - 3*j**4/4 - 21*j**3/8 + 3*j**2 + 9*j/2 = 0.
-2, -1, 0, 2, 3
Suppose 34*l**5/9 - 344*l**4/9 + 2*l**3/3 + 344*l**2/9 - 40*l/9 = 0. Calculate l.
-1, 0, 2/17, 1, 10
Factor -p**3/5 - 61*p**2/5 + 301*p/5 + 9245.
-(p - 25)*(p + 43)**2/5
Find d, given that 5*d**5/3 - 5*d**4/3 - 5*d**3 + 5*d**2/3 + 10*d/3 = 0.
-1, 0, 1, 2
Solve -12*w**2 - 1384*w - 3164 = 0.
-113, -7/3
Factor -2*o**3 - 2*o**2 + 4*o.
-2*o*(o - 1)*(o + 2)
Let -v**5/2 - 4*v**4 - 13*v**3/2 + 13*v**2 + 32*v + 16 = 0. What is v?
-4, -1, 2
Factor p**5/7 - 2*p**4/7 - 3*p**3/7.
p**3*(p - 3)*(p + 1)/7
Factor 15*h**3 - 455*h**2/6 - 515*h/6 + 5.
5*(h - 6)*(h + 1)*(18*h - 1)/6
Factor 5*i**3 + 60*i**2 + 240*i + 320.
5*(i + 4)**3
Factor 2*z**3 - 240*z**2 - 2*z + 240.
2*(z - 120)*(z - 1)*(z + 1)
Factor 22*f**2 + 114*f + 20.
2*(f + 5)*(11*f + 2)
Factor 3698*p**2/13 - 2580*p/13 + 450/13.
2*(43*p - 15)**2/13
Let 3*a**4 + 78*a**3 - 252*a**2 + 258*a - 87 = 0. Calculate a.
-29, 1
Factor k**2/7 + 20*k.
k*(k + 140)/7
Factor -m**3 - 446*m**2 - 49280*m + 100352.
-(m - 2)*(m + 224)**2
Suppose 112*q**2/11 + 6*q/11 = 0. Calculate q.
-3/56, 0
Find f, given that 5*f**4 - 35*f**2 + 30*f = 0.
-3, 0, 1, 2
Factor 824*j**2/9 - 3302*j/9 + 8/3.
2*(j - 4)*(412*j - 3)/9
Factor -2*f**2 - 164*f - 3354.
-2*(f + 39)*(f + 43)
Factor -4*b**3 + 1948*b**2 - 240064*b + 702768.
-4*(b - 242)**2*(b - 3)
Factor -q**2 - 10*q - 25.
-(q + 5)**2
Factor 2*h**4 + 68*h**3 + 864*h**2 + 4860*h + 10206.
2*(h + 7)*(h + 9)**3
Factor k**5 + 11*k**4 - 40*k**3 + 28*k**2.
k**2*(k - 2)*(k - 1)*(k + 14)
Factor -2*c**3/7 + 32*c**2/7 + 10*c + 36/7.
-2*(c - 18)*(c + 1)**2/7
Solve 4*u**4/11 + 197*u**3/11 - 359*u**2/11 - 102*u/11 = 0.
-51, -1/4, 0, 2
Find y such that y**3 - 232*y**2 + 13221*y + 27378 = 0.
-2, 117
Factor -12*r**2/13 + 1142*r/13 - 190/13.
-2*(r - 95)*(6*r - 1)/13
Factor -a**2 - 46*a - 480.
-(a + 16)*(a + 30)
Suppose 14*b**4 + 54*b**3 + 34*b**2 - 6*b = 0. Calculate b.
-3, -1, 0, 1/7
Solve -w**2 + 69*w/5 - 52/5 = 0 for w.
4/5, 13
Determine p, given that -12*p**3/5 - 711*p**2/5 + 747*p/5 + 1446/5 = 0.
-241/4, -1, 2
Suppose -2*n**5/3 + 46*n**4/3 + 212*n**3/3 + 116*n**2/3 - 70*n - 54 = 0. Calculate n.
-3, -1, 1, 27
Let -3*x**3 - 546*x**2 - 1083*x - 540 = 0. What is x?
-180, -1
Factor -2*g**2/7 - 34*g/7 + 400/7.
-2*(g - 8)*(g + 25)/7
Factor 3*a**2 - 57*a - 60.
3*(a - 20)*(a + 1)
Determine v, given that 2*v**5/5 + 178*v**4/5 + 1134*v**3 + 74358*v**2/5 + 314928*v/5 = 0.
-27, -8, 0
Factor 3*c**2 + 36*c - 399.
3*(c - 7)*(c + 19)
Factor 4*t**3 - 308*t**2 + 888*t.
4*t*(t - 74)*(t - 3)
What is k in -4*k**4 + 28*k**3 + 108*k**2 + 116*k + 40 = 0?
-1, 10
Factor -5*l**3/4 - 20*l**2 + 1005*l/4 + 270.
-5*(l - 9)*(l + 1)*(l + 24)/4
Factor -2*o**2/7 + 170*o + 1192/7.
-2*(o - 596)*(o + 1)/7
Factor -11*s**2/3 - 218*s/3.
-s*(11*s + 218)/3
Find j, given that 20*j**5 + 32*j**4 - 36*j**3 - 32*j**2 + 16*j = 0.
-2, -1, 0, 2/5, 1
Solve 2*k**4 + 740*k**3 + 736*k**2 - 740*k - 738 = 0 for k.
-369, -1, 1
Find b such that b**5 - 20*b**4 + 35*b**3 + 20*b**2 - 36*b = 0.
-1, 0, 1, 2, 18
Factor 3*o**4 - 207*o**3 + 4950*o**2 - 45012*o + 95832.
3*(o - 22)**3*(o - 3)
What is g in -170*g**3 - 4594*g**2 + 4652*g + 112 = 0?
-28, -2/85, 1
Solve 9*s**5/2 + 97*s**4/2 + 365*s**3/2 + 535*s**2/2 + 93*s - 36 = 0 for s.
-4, -3, -1, 2/9
Suppose -5*b**5 + 275*b**4 - 1015*b**3 - 275*b**2 + 1020*b = 0. What is b?
-1, 0, 1, 4, 51
Let -r**5/3 - 2*r**4/3 = 0. What is r?
-2, 0
Factor 2*j**4 - 26*j**3 + 22*j**2 + 26*j - 24.
2*(j - 12)*(j - 1)**2*(j + 1)
Determine k, given that 6*k**4 - 158*k**3 - 280*k**2 = 0.
-5/3, 0, 28
Factor -2*v**2/7 - 100*v/7 - 14.
-2*(v + 1)*(v + 49)/7
Factor 2*a**3/3 + 53*a**2/3 - 83*a/3 + 28/3.
(a - 1)*(a + 28)*(2*a - 1)/3
Solve r**4 + 102*r**3 + 405*r**2/4 + 101*r/4 = 0 for r.
-101, -1/2, 0
Factor -4*r**2 - 84*r - 80.
-4*(r + 1)*(r + 20)
Factor -5*d**4 - 55*d**3 - 190*d**2 - 260*d - 120.
-5*(d + 1)*(d + 2)**2*(d + 6)
Determine o, given that 10*o**5 + 35*o**4 - 45*o**3 - 95*o**2 + 35*o + 60 = 