ctor -3*u**4 + 225*u**3 - 6273*u**2 + 77163*u - 353736.
-3*(u - 24)*(u - 17)**3
Find h, given that 2*h**2 + 29*h - 15 = 0.
-15, 1/2
Solve 2*k**2 + 110*k + 408 = 0 for k.
-51, -4
Let 3*f**5/11 - 47*f**4/11 + 71*f**3/11 - 13*f**2/11 - 14*f/11 = 0. Calculate f.
-1/3, 0, 1, 14
Determine d, given that -4*d**2/3 + 464*d/3 - 13456/3 = 0.
58
Factor 9*n**3/2 + 9*n**2/2 + 3*n/2 + 1/6.
(3*n + 1)**3/6
What is z in z**3/3 - 73*z**2/3 - 50*z = 0?
-2, 0, 75
Factor 2*b**3/17 - 24*b**2/17 - 2*b/17 + 24/17.
2*(b - 12)*(b - 1)*(b + 1)/17
Let 2*r**4 - 220*r**3 + 5824*r**2 + 12544*r = 0. Calculate r.
-2, 0, 56
Suppose h**2/5 + 1103*h/5 + 1102/5 = 0. Calculate h.
-1102, -1
What is m in 21*m**3 + 33*m**2 - 18*m = 0?
-2, 0, 3/7
Factor 24*c**2 + 20*c - 4.
4*(c + 1)*(6*c - 1)
Factor -35*h**3 - 60*h**2 + 125*h - 30.
-5*(h - 1)*(h + 3)*(7*h - 2)
Factor -2*r**3 - 290*r**2 - 11454*r - 66654.
-2*(r + 7)*(r + 69)**2
Factor 2*j**5/5 + 4*j**4/5 - 12*j**3/5 - 8*j**2 - 38*j/5 - 12/5.
2*(j - 3)*(j + 1)**3*(j + 2)/5
Solve 4*t**3 + 28*t**2 + 24*t = 0 for t.
-6, -1, 0
Let n**5/5 + 22*n**4/5 + 72*n**3/5 - 16*n**2/5 - 304*n/5 - 288/5 = 0. Calculate n.
-18, -2, 2
Solve 4*l**4/7 - 8*l**3/7 + 8*l/7 - 4/7 = 0 for l.
-1, 1
What is n in -8*n**4/11 + 42*n**3/11 - 34*n**2/11 - 6*n + 18/11 = 0?
-1, 1/4, 3
What is k in 4*k**2 - 148*k - 152 = 0?
-1, 38
Solve -48*f**5/5 + 262728*f**4/5 - 71888943*f**3 - 179903013*f**2/5 + 157330971*f/5 - 22473507/5 = 0.
-1, 1/4, 2737
Factor 14*n**2/15 + 104*n/15 - 64/15.
2*(n + 8)*(7*n - 4)/15
Solve -2*l**4/9 - 4*l**3/3 - 2*l**2/9 + 16*l/3 - 32/9 = 0 for l.
-4, 1
What is d in 3*d**5 + 45*d**4 - 153*d**3 + 159*d**2 - 54*d = 0?
-18, 0, 1
Factor -b**3/5 + 24*b**2/5 - 9*b + 22/5.
-(b - 22)*(b - 1)**2/5
Factor -6*r**4 - 28*r**3 - 26*r**2 + 12*r.
-2*r*(r + 2)*(r + 3)*(3*r - 1)
Suppose 2*g**2/5 - 776*g/5 + 75272/5 = 0. Calculate g.
194
What is n in n**5 - 3*n**4 + n**3 + 3*n**2 - 2*n = 0?
-1, 0, 1, 2
Solve 4*u**5 + 24*u**4 + 40*u**3 - 44*u - 24 = 0 for u.
-3, -2, -1, 1
Factor 2*l**3/7 + 48*l**2/7 + 82*l/7 - 132/7.
2*(l - 1)*(l + 3)*(l + 22)/7
Suppose z**4/5 + 56*z**3/5 + 589*z**2/5 - 5766*z/5 = 0. Calculate z.
-31, 0, 6
Factor -o**3/4 - 823*o**2/4 + 1649*o/4 - 825/4.
-(o - 1)**2*(o + 825)/4
What is z in -3*z**2/7 - 2*z/7 + 1/7 = 0?
-1, 1/3
What is t in -36*t**2 - 76*t - 8 = 0?
-2, -1/9
Factor -a**4/5 + 3*a**3 - 13*a**2/5 - 3*a + 14/5.
-(a - 14)*(a - 1)**2*(a + 1)/5
Factor -5*n**4/3 - 32*n**3/3 - 4*n**2.
-n**2*(n + 6)*(5*n + 2)/3
Factor z**3/7 + 487*z**2/7 + 8505*z + 59049/7.
(z + 1)*(z + 243)**2/7
Let -g**5/6 + 7*g**4/12 - g**3/2 - g**2/12 + g/6 = 0. Calculate g.
-1/2, 0, 1, 2
Factor -2*x**4 + 22*x**3 - 66*x**2 + 74*x - 28.
-2*(x - 7)*(x - 2)*(x - 1)**2
Factor a**5/5 + 3*a**4/5 - a**3/5 - 11*a**2/5 - 12*a/5 - 4/5.
(a - 2)*(a + 1)**3*(a + 2)/5
Find r such that 2*r**4/5 + 2*r**3 + 14*r**2/5 + 6*r/5 = 0.
-3, -1, 0
Factor -4*j**2 - 16008*j - 16016004.
-4*(j + 2001)**2
Find r, given that 3*r**5/5 - 6*r**4 + 66*r**3/5 - 12*r**2/5 - 69*r/5 + 42/5 = 0.
-1, 1, 2, 7
Factor 2*m**2/7 - 20*m/7 + 48/7.
2*(m - 6)*(m - 4)/7
Suppose -2*h**2/11 - 12*h/11 + 270/11 = 0. What is h?
-15, 9
Factor -22*l**3 - 10*l**2 + 12*l.
-2*l*(l + 1)*(11*l - 6)
Factor -4*d**2 - 2108*d + 17120.
-4*(d - 8)*(d + 535)
Find x such that -5*x**2/4 - 16*x + 13/4 = 0.
-13, 1/5
Factor 4*a**5 + 204*a**4 - 420*a**3 + 212*a**2.
4*a**2*(a - 1)**2*(a + 53)
Factor 4*g**5 - 16*g**4 + 8*g**3 + 16*g**2 - 12*g.
4*g*(g - 3)*(g - 1)**2*(g + 1)
Factor 2*l**3/5 - 52*l**2/5 - 2*l/5 + 52/5.
2*(l - 26)*(l - 1)*(l + 1)/5
What is r in 8*r**2 - 1412*r + 704 = 0?
1/2, 176
Factor 3*l**3/7 - 9*l**2/7 + 6*l/7.
3*l*(l - 2)*(l - 1)/7
Factor 3*x**4/4 + 39*x**3/2 + 120*x**2.
3*x**2*(x + 10)*(x + 16)/4
Factor w**2 + 86*w - 176.
(w - 2)*(w + 88)
Determine q so that -4*q**4 + 8*q**3 + 36*q**2 - 72*q = 0.
-3, 0, 2, 3
What is p in 4*p**2 + 52*p - 456 = 0?
-19, 6
Factor -3*q**4 + 54*q**2 + 96*q + 45.
-3*(q - 5)*(q + 1)**2*(q + 3)
Find u such that u**3/2 + 93*u**2/2 + 1104*u + 1058 = 0.
-46, -1
Factor 2*q**4/7 + 2*q**3 + 12*q**2/7.
2*q**2*(q + 1)*(q + 6)/7
Find p, given that -3*p**5 + 3*p**4 + 6*p**3 = 0.
-1, 0, 2
Find u, given that -15*u**5 + 310*u**4 + 1570*u**3 + 1400*u**2 - 595*u - 750 = 0.
-3, -1, 2/3, 25
Factor q**2/3 - 46*q + 1587.
(q - 69)**2/3
Factor 6*t**2/5 - 186*t/5 + 1008/5.
6*(t - 24)*(t - 7)/5
Factor -4*o**5 + 240*o**4 - 3600*o**3.
-4*o**3*(o - 30)**2
Suppose -z**2/2 + 354*z - 62658 = 0. What is z?
354
Solve 2*v**3/17 + 326*v**2/17 - 328*v/17 = 0 for v.
-164, 0, 1
Factor 21*c**2/2 + 33*c - 36.
3*(c + 4)*(7*c - 6)/2
Factor 2*l**4/9 - 70*l**3/9 - 2*l**2/9 + 70*l/9.
2*l*(l - 35)*(l - 1)*(l + 1)/9
Solve s**5/2 + 30*s**4 + 757*s**3/2 - 2403*s**2 - 5824*s - 3072 = 0.
-32, -1, 6
Suppose 5*x**3/2 - 3*x**2/2 - 16*x - 6 = 0. Calculate x.
-2, -2/5, 3
Factor -9*q**3/5 + 3*q**2 + 33*q/5 + 9/5.
-3*(q - 3)*(q + 1)*(3*q + 1)/5
Determine l, given that 3*l**2/4 + 18*l - 3675/4 = 0.
-49, 25
Suppose 147*q**3 + 987*q**2 - 291*q + 21 = 0. What is q?
-7, 1/7
Solve -6*r**4/7 - 114*r**3/7 + 570*r**2/7 + 306*r/7 - 2484/7 = 0 for r.
-23, -2, 3
Factor -2*o**2/5 + 56*o/5 + 24.
-2*(o - 30)*(o + 2)/5
Factor -g**3 + 40*g**2 - 39*g.
-g*(g - 39)*(g - 1)
Let 33*t**3/4 - 27*t**2/4 - 18*t - 3 = 0. Calculate t.
-1, -2/11, 2
Determine j so that -2*j**5 - 8*j**4 + 12*j**3 + 32*j**2 - 58*j + 24 = 0.
-4, -3, 1
Factor 5*y**3 + 270*y**2 - 555*y + 280.
5*(y - 1)**2*(y + 56)
Solve -l**2/4 + 53*l/2 - 2809/4 = 0 for l.
53
Factor 4*t**2/3 + 508*t.
4*t*(t + 381)/3
Let 3*a**5/2 - 7*a**4 + 13*a**3 - 12*a**2 + 11*a/2 - 1 = 0. What is a?
2/3, 1
Factor 5*l**4 + 395*l**3 + 385*l**2 - 395*l - 390.
5*(l - 1)*(l + 1)**2*(l + 78)
Determine d, given that 36*d**4 - 2008*d**3 + 29684*d**2 - 45792*d - 11664 = 0.
-2/9, 2, 27
Factor 2*n**5/7 - 10*n**4/7 + 12*n**3/7 + 4*n**2/7 - 2*n + 6/7.
2*(n - 3)*(n - 1)**3*(n + 1)/7
Find z such that 2*z**5 + 28*z**4 + 130*z**3 + 200*z**2 = 0.
-5, -4, 0
Suppose l**4 - 4*l**3 - 19*l**2 - 14*l = 0. What is l?
-2, -1, 0, 7
Find q, given that 2*q**4/13 + 18*q**3/13 - 68*q**2/13 + 48*q/13 = 0.
-12, 0, 1, 2
What is d in -81*d**5/5 - 63*d**4/5 + 989*d**3/5 - 217*d**2/5 + 12*d/5 = 0?
-4, 0, 1/9, 3
Determine k so that k**3 + k**2 - 14*k - 24 = 0.
-3, -2, 4
Factor 7*t**4/6 + 13*t**3 + 179*t**2/6 - 38*t - 6.
(t - 1)*(t + 6)**2*(7*t + 1)/6
Factor -2*s**4/9 - 14*s**3/9 - 10*s**2/3 - 2*s.
-2*s*(s + 1)*(s + 3)**2/9
Let -3*l**5/2 + 75*l**4/2 - 141*l**3/2 + 69*l**2/2 = 0. What is l?
0, 1, 23
Factor -20*i**3 + 1455*i**2 + 3365*i + 750.
-5*(i - 75)*(i + 2)*(4*i + 1)
Solve c**2/4 + 3*c + 35/4 = 0 for c.
-7, -5
Factor -n**3/4 + 17*n**2/4 + 24*n - 63.
-(n - 21)*(n - 2)*(n + 6)/4
Factor h**2/5 + 496*h/5 + 61504/5.
(h + 248)**2/5
Factor -16*w**5/9 - 404*w**4/3 + 304*w**3/9.
-4*w**3*(w + 76)*(4*w - 1)/9
Factor 140*x**3 - 1128*x**2 + 2304*x - 128.
4*(x - 4)**2*(35*x - 2)
Find o, given that o**5/5 - o**4 + o**3 + o**2 - 6*o/5 = 0.
-1, 0, 1, 2, 3
Determine q so that q**5/3 - q**4 - 5*q**3 - 17*q**2/3 - 2*q = 0.
-1, 0, 6
Suppose 3*j**4/2 + 9*j**3 + 27*j**2/2 - 6*j - 18 = 0. Calculate j.
-3, -2, 1
Solve 2*d**3 + 14*d**2 - 52*d - 144 = 0.
-9, -2, 4
Factor 4*v**5 - 3080*v**4 + 595968*v**3 - 1179648*v**2.
4*v**2*(v - 384)**2*(v - 2)
Factor y**2/2 + 55*y/2 + 27.
(y + 1)*(y + 54)/2
Solve x**2 + 76*x + 483 = 0.
-69, -7
Factor -2*k**2/7 + 68*k/7 - 578/7.
-2*(k - 17)**2/7
Let 2*b**5/7 + 132*b**4/7 + 376*b**3/7 - 132*b**2/7 - 54*b = 0. Calculate b.
-63, -3, -1, 0, 1
Factor 5*z**2 - 450*z + 10125.
5*(z - 45)**2
Determine c, given that -2*c**2/3 - 2*c + 608/3 = 0.
-19, 16
Let 3*j**2 - 1188*j + 117612 = 0. Calculate j.
198
Determine o, given that -14*o**5 + 204*o**4 - 7162*o**3/7 + 1936*o**2 - 6120*o/7 + 800/7 = 0.
2/7, 4, 5
Factor -j**5 + 107*j**4 + 4118*j**3 + 44902*j**2 + 135883*j - 185009.
-(j - 139)*(j - 1)*(j + 11)**3
Factor -10*a**3/9 + 56*a**2/9 + 184*a/9 + 64/9.
-2*(a - 8)*(a + 2)*(5*a + 2)/9
Factor x**2/4 - 257*x/4.
x*(x - 257)/4
Factor 4*x**3/9 - 232*x**2/9 + 2660*x/9 - 8624/9.
4*(x - 44)*(x - 7)**2/9
Determine r, given that -r**2/3 - 43*r/3 - 14 = 0.
-42, -1
What is z in -z**3 + 33*z**2 + 241*z - 273 = 0?
-7, 1, 39
Factor -n**3/8 + 3*n**2/8 + n/2.
-n*(n - 4)*(n + 1)/8
Find f, given that -2*f**4/9 + 20*f**3/9 + 8*f**2/9 - 80*f/9 = 0.
-2, 0, 2, 10
Solve -2*b**5/3 - 18*b**4 - 146*b**3 - 1010*