4 + 63*k**3 + 32*k**2 + 4*k = 0.
-2, -1/4, 0, 2
Suppose t**5 - 104*t**4 + 2806*t**3 - 5304*t**2 + 2601*t = 0. Calculate t.
0, 1, 51
Factor -4*a**3 + 64*a**2 - 60*a.
-4*a*(a - 15)*(a - 1)
Suppose 2*x**4/15 - 6*x**3/5 + 58*x**2/15 - 26*x/5 + 12/5 = 0. What is x?
1, 2, 3
Let -2*g**5/13 + 12*g**4/13 - 24*g**3/13 + 20*g**2/13 - 6*g/13 = 0. What is g?
0, 1, 3
Factor -2*h**2/7 + 160*h/7 - 312/7.
-2*(h - 78)*(h - 2)/7
Suppose 26*o**4 - 103*o**3/2 + 25*o**2 + o/2 = 0. Calculate o.
-1/52, 0, 1
Factor -3*n**3/5 - 9*n**2/5 - 6*n/5.
-3*n*(n + 1)*(n + 2)/5
Suppose -a**3 - 20*a**2 - 33*a + 54 = 0. Calculate a.
-18, -3, 1
Solve 3*y**2/5 + 1074*y/5 = 0 for y.
-358, 0
Determine a, given that -a**4/11 + 48*a**3/11 - 750*a**2/11 + 3536*a/11 + 4335/11 = 0.
-1, 15, 17
Factor -4*i**2 + 220*i - 216.
-4*(i - 54)*(i - 1)
Factor -16*n**3/3 + 13*n**2/3 - n/3 - 1/4.
-(2*n - 1)**2*(16*n + 3)/12
Factor 3*h**3 - 87*h**2 + 162*h.
3*h*(h - 27)*(h - 2)
Determine i, given that 4*i**3 - 24*i**2 - 160*i = 0.
-4, 0, 10
Factor -240818*x**2/7 - 2776*x/7 - 8/7.
-2*(347*x + 2)**2/7
Factor 2*w**2 + 330*w - 1352.
2*(w - 4)*(w + 169)
Solve -k**3 - 53*k**2 + 345*k - 531 = 0 for k.
-59, 3
Factor -m**4/4 + 7*m**3/2 - 9*m**2 + 17*m/2 - 11/4.
-(m - 11)*(m - 1)**3/4
Solve g**3 + g**2 - 2*g = 0.
-2, 0, 1
Factor 2*x**2/7 - 20*x/7 + 32/7.
2*(x - 8)*(x - 2)/7
Factor -2*t**5/5 - 2*t**4/5.
-2*t**4*(t + 1)/5
Determine k, given that -2*k**5/9 + 16*k**4/9 - 34*k**3/9 - 4*k**2/9 + 16*k/3 = 0.
-1, 0, 2, 3, 4
Solve -2*k**2/5 - 14*k/5 - 12/5 = 0 for k.
-6, -1
Let 4*v**4/11 - 30*v**3/11 - 18*v**2/11 + 16*v/11 = 0. Calculate v.
-1, 0, 1/2, 8
Let f**5/5 + 8*f**4/5 - 12*f**3/5 - 26*f**2/5 + 11*f/5 + 18/5 = 0. Calculate f.
-9, -1, 1, 2
Factor -2*y**3/3 + 22*y**2 - 472*y/3 - 408.
-2*(y - 18)*(y - 17)*(y + 2)/3
Find l such that 2*l**3 + 56*l**2 - 470*l + 700 = 0.
-35, 2, 5
Factor 2*s**2/7 - 68*s/7.
2*s*(s - 34)/7
Determine w, given that -2*w**3/3 - 20*w**2/3 + 16*w = 0.
-12, 0, 2
Find h, given that -2*h**2/15 + 136*h/15 + 142/5 = 0.
-3, 71
Factor -20*l**2 + 505*l - 125.
-5*(l - 25)*(4*l - 1)
Solve -4*v**3 - 88*v**2 - 228*v = 0 for v.
-19, -3, 0
Factor 35*b**2 + 2075*b - 1500.
5*(b + 60)*(7*b - 5)
Factor -5*x**2/2 - 65*x/2 - 30.
-5*(x + 1)*(x + 12)/2
Suppose s**3 + 77*s**2 - 78*s = 0. Calculate s.
-78, 0, 1
Factor 2*b**3/11 - 24*b**2/11 - 120*b/11 + 1600/11.
2*(b - 10)**2*(b + 8)/11
Factor m**3/3 - 44*m**2/3 + 260*m/3 + 5408/3.
(m - 26)**2*(m + 8)/3
Find v such that 56*v**5 + 54*v**4 - 286*v**3 + 174*v**2 + 14*v - 12 = 0.
-3, -1/4, 2/7, 1
What is q in -4*q**4 + 16*q**3 - 12*q**2 - 16*q + 16 = 0?
-1, 1, 2
Factor n**2/3 - 20*n - 1309/3.
(n - 77)*(n + 17)/3
Factor 2*i**4 + 14*i**3 - 66*i**2 - 270*i.
2*i*(i - 5)*(i + 3)*(i + 9)
Suppose -q**3/2 - 69*q**2/2 - 100*q - 66 = 0. Calculate q.
-66, -2, -1
Suppose -3*z**5 - 24*z**4 + 33*z**3 + 210*z**2 - 408*z + 192 = 0. Calculate z.
-8, -4, 1, 2
Factor 5*k**3 - 55*k**2 + 120*k + 180.
5*(k - 6)**2*(k + 1)
Factor -4*m**2/5 - 76*m/5 - 72.
-4*(m + 9)*(m + 10)/5
Factor -5*x**4 - 1550*x**3 - 120125*x**2.
-5*x**2*(x + 155)**2
Determine o so that -10*o**5 - 2*o**4 + 60*o**3 - 68*o**2 + 14*o + 6 = 0.
-3, -1/5, 1
Factor j**2/5 + 2168*j/5 + 2167/5.
(j + 1)*(j + 2167)/5
Factor -b**2/2 + 42*b - 82.
-(b - 82)*(b - 2)/2
Suppose 729*k**5 + 31509*k**4 + 37404*k**3 - 912*k**2 - 6528*k + 1008 = 0. What is k?
-42, -1, -2/3, 2/9
Solve r**3/5 + 96*r**2/5 - 607*r/5 + 102 = 0.
-102, 1, 5
Factor 2*u**3 - 6378*u**2 + 5088048*u - 5081672.
2*(u - 1594)**2*(u - 1)
Suppose p**4/10 - p**3 + 29*p**2/10 - 2*p = 0. What is p?
0, 1, 4, 5
Determine m, given that -15*m**2 - 20*m + 160 = 0.
-4, 8/3
Factor n**2/9 - 4*n/3 - 28/9.
(n - 14)*(n + 2)/9
Let -4*g**4 - 28*g**3 - 72*g**2 - 80*g - 32 = 0. Calculate g.
-2, -1
Factor 3*a**2/5 + 1563*a/5 + 312.
3*(a + 1)*(a + 520)/5
Factor 4*l**3 - 1328*l**2 + 106132*l + 685464.
4*(l - 169)**2*(l + 6)
Find k, given that -4*k**2 - 62080*k - 240870400 = 0.
-7760
Let 2*j**2 + 88*j - 90 = 0. Calculate j.
-45, 1
Solve -336*l**5 - 68*l**4 + 344*l**3 + 68*l**2 - 8*l = 0.
-1, -2/7, 0, 1/12, 1
Factor 2*d**3/11 + 100*d**2/11 + 1074*d/11 + 216.
2*(d + 3)*(d + 11)*(d + 36)/11
What is y in 2*y**3/13 + 50*y**2/13 = 0?
-25, 0
Suppose 27*h**4/2 + 48*h**3 + 92*h**2/3 - 64*h/3 + 8/3 = 0. What is h?
-2, 2/9
Factor -l**2/5 + 796*l/5 - 158404/5.
-(l - 398)**2/5
What is o in -2*o**3/21 - 16*o**2/21 + 158*o/21 - 20/3 = 0?
-14, 1, 5
Factor -3*t**2/8 + 315*t/8 - 1653/2.
-3*(t - 76)*(t - 29)/8
Determine m, given that -80*m**5 + 40*m**4 + 235*m**3 + 40*m**2 - 65*m + 10 = 0.
-1, 1/4, 2
Suppose -3*r**2/2 + 51*r - 99/2 = 0. What is r?
1, 33
Find f such that 3*f**2 + 324*f + 321 = 0.
-107, -1
Find m such that -2*m**3/3 + 26*m**2 - 96*m + 280/3 = 0.
2, 35
Factor 3*p**4/2 - 36*p**3 + 216*p**2.
3*p**2*(p - 12)**2/2
Let -4*j**5/5 - 256*j**4/5 - 2844*j**3/5 - 9936*j**2/5 - 7344*j/5 = 0. Calculate j.
-51, -6, -1, 0
Factor -2*u**3/13 + 8*u**2/13 - 10*u/13 + 4/13.
-2*(u - 2)*(u - 1)**2/13
What is r in r**4/4 + r**3/4 - 243*r**2/4 - 1701*r/4 - 729/2 = 0?
-9, -1, 18
Suppose -x**5 - 9*x**4 + 10*x**3 = 0. What is x?
-10, 0, 1
Factor u**3/8 - u**2/2 - u/2 + 2.
(u - 4)*(u - 2)*(u + 2)/8
Factor -m**4/2 - 23*m**3/2 + 53*m**2/2 + 75*m/2.
-m*(m - 3)*(m + 1)*(m + 25)/2
Find s, given that -s**5/4 - 959*s**4/4 + 3*s**3/4 + 2875*s**2/4 - 959*s/2 = 0.
-959, -2, 0, 1
Determine m so that 90*m**5 - 1195*m**4 + 4500*m**3 - 2720*m**2 - 4080*m - 720 = 0.
-1/2, -2/9, 2, 6
Factor 3*d**5 + 21*d**4 + 15*d**3 - 21*d**2 - 18*d.
3*d*(d - 1)*(d + 1)**2*(d + 6)
Factor -o**3/3 - 2*o**2 - 3*o.
-o*(o + 3)**2/3
Let -5*s**2 - 45*s + 1100 = 0. What is s?
-20, 11
Suppose 3*w**5 - 39*w**4 + 69*w**3 - 33*w**2 = 0. What is w?
0, 1, 11
Factor -3*g**3 - 575*g**2 - 952*g - 380.
-(g + 1)*(g + 190)*(3*g + 2)
What is r in 2*r**4 + 3*r**3 - r**2 - 3*r - 1 = 0?
-1, -1/2, 1
Factor -2*q**3/3 - 2*q**2/3.
-2*q**2*(q + 1)/3
Suppose -32*c**5 + 816*c**4 + 1294*c**3 + 66*c**2 - 326*c + 54 = 0. What is c?
-1, 1/4, 27
Factor 105*h**3 + 402*h**2 - 72*h.
3*h*(h + 4)*(35*h - 6)
Determine z, given that -5*z**2 + 345*z + 2660 = 0.
-7, 76
Find v, given that -v**4/6 - 4*v**3/3 + 13*v**2/6 + 16*v/3 - 6 = 0.
-9, -2, 1, 2
Let 4*c**2/7 + 248*c/7 - 5372/7 = 0. Calculate c.
-79, 17
Factor -3*w**3 + 21*w**2 - 30*w.
-3*w*(w - 5)*(w - 2)
Factor 2*f**4/9 + 670*f**3/9 + 222*f**2 + 1994*f/9 + 664/9.
2*(f + 1)**3*(f + 332)/9
Factor -4*f**2 - 32*f/5 + 84/5.
-4*(f + 3)*(5*f - 7)/5
Let -16*y**2/7 - 46*y/7 + 6/7 = 0. What is y?
-3, 1/8
Find u such that -16*u**5/7 + 200*u**4/7 - 396*u**3/7 - 3146*u**2/7 + 10648*u/7 = 0.
-4, 0, 11/2
Factor 8*v**2/11 - 2*v/11.
2*v*(4*v - 1)/11
Find a, given that -8*a**4/7 - 108*a**3/7 - 48*a**2/7 + 52*a/7 = 0.
-13, -1, 0, 1/2
Let -3*h**2 + 60*h = 0. Calculate h.
0, 20
Factor -4*z**3 + 240*z**2 - 464*z.
-4*z*(z - 58)*(z - 2)
Suppose -3*y**3 - 21*y**2 - 12*y + 36 = 0. Calculate y.
-6, -2, 1
Suppose -z**5 - 13*z**4/2 + 12*z**3 - z**2/2 - 4*z = 0. What is z?
-8, -1/2, 0, 1
Factor -10*g**3/9 - 6*g**2 - 20*g/3 - 16/9.
-2*(g + 1)*(g + 4)*(5*g + 2)/9
Let -4*b**2 - 83*b/3 + 7/3 = 0. What is b?
-7, 1/12
Factor -z**2 + 179*z + 362.
-(z - 181)*(z + 2)
Factor u**4/3 + u**3.
u**3*(u + 3)/3
Factor p**5 - 9*p**4 + 31*p**3 - 51*p**2 + 40*p - 12.
(p - 3)*(p - 2)**2*(p - 1)**2
Factor 3*n**4 + 60*n**3 - 201*n**2 + 138*n.
3*n*(n - 2)*(n - 1)*(n + 23)
Determine t, given that -t**5/2 + 11*t**4/2 + 63*t**3/2 - 27*t**2/2 - 135*t = 0.
-3, 0, 2, 15
Factor -t**2/4 + 259*t/2 - 67081/4.
-(t - 259)**2/4
Factor 3*v**2 - 2202*v + 404067.
3*(v - 367)**2
Suppose 5*m**5/2 - 105*m**4 + 1675*m**3 - 12660*m**2 + 91325*m/2 - 63375 = 0. What is m?
5, 6, 13
Solve -17*d**3 + 211*d**2/5 + 128*d/5 + 12/5 = 0 for d.
-2/5, -2/17, 3
Suppose 4*t**4 + 76*t**3 + 136*t**2 = 0. What is t?
-17, -2, 0
Determine d, given that 2*d**4/7 + 60*d**3/7 + 64*d**2 - 60*d/7 - 450/7 = 0.
-15, -1, 1
Solve -w**3/5 + 13*w**2/5 - 6*w = 0 for w.
0, 3, 10
Factor a**2/4 - 3691*a/2 + 13623481/4.
(a - 3691)**2/4
Let 3*a**4 + 57*a**3 + 93*a**2 - 153*a = 0. Calculate a.
-17, -3, 0, 1
Factor 2645*n**4 + 19090*n**3 + 44105*n**2 + 34860*n + 8820.
5*(n + 3)**2*(23*n + 14)**2
Factor -y**3 + 11*y**2 - 18*y.
-y*(y - 9)*(y - 2)
Find z, given that -2*z**5/3 - 6*z**4 + 208*z**2/3 - 32*z - 96 = 0.
-6, -1, 2
Suppose 2*w**2/9 - 560*w/3 + 39200 = 0. 