47*c**2 - 1176*c - 588 = 0.
-7, -2/5, 2, 7
Find d such that -5*d**4 - 15*d**3 - 10*d**2 = 0.
-2, -1, 0
Factor 4*y**3/3 + 16*y**2 + 80*y/3.
4*y*(y + 2)*(y + 10)/3
Suppose 5*n**2 - 70*n - 1375 = 0. Calculate n.
-11, 25
Factor 15*g**4 + 55*g**3 + 75*g**2 + 45*g + 10.
5*(g + 1)**3*(3*g + 2)
Factor h**3/4 + 47*h**2/4 + 104*h - 845.
(h - 5)*(h + 26)**2/4
Find v such that -5*v**2 - 7730*v - 2987645 = 0.
-773
Suppose -6*w**5 - 26*w**4 - 2*w**3 + 26*w**2 + 8*w = 0. Calculate w.
-4, -1, -1/3, 0, 1
Suppose -3*c**4 + 91*c**3 + 470*c**2 + 692*c + 280 = 0. What is c?
-2, -2/3, 35
Solve 12*v**4/7 + 54*v**3/7 + 36*v**2/7 - 66*v/7 - 36/7 = 0.
-3, -2, -1/2, 1
Factor -5*j**5 - 50*j**4 - 160*j**3 - 160*j**2.
-5*j**2*(j + 2)*(j + 4)**2
Factor t**5 + 60*t**4 - 258*t**3 - 116*t**2 + 777*t + 576.
(t - 3)**2*(t + 1)**2*(t + 64)
Factor n**5 - 91*n**4 + 765*n**3 - 2241*n**2 + 2214*n.
n*(n - 82)*(n - 3)**3
Factor 12*s**4 - 155*s**3 - 186*s**2 + 56*s.
s*(s - 14)*(3*s + 4)*(4*s - 1)
Factor -2*a**3/7 - 874*a**2/7 - 13578*a + 95922/7.
-2*(a - 1)*(a + 219)**2/7
Factor -4*d**4 - 4*d**3 + 48*d**2.
-4*d**2*(d - 3)*(d + 4)
Suppose 14*l**4/5 - 22*l**3/5 - 12*l**2/5 = 0. Calculate l.
-3/7, 0, 2
Suppose 21*r**4 - 48*r**3 + 12*r**2 = 0. What is r?
0, 2/7, 2
Factor 4*f**2/3 - 1576*f - 4732/3.
4*(f - 1183)*(f + 1)/3
Solve 3*j**3 - 12*j**2 + 12*j = 0 for j.
0, 2
Solve -2*x**3/7 + 8*x**2/7 + 10*x/7 = 0.
-1, 0, 5
Determine z, given that 2*z**3 - 96*z**2 + 1512*z - 7776 = 0.
12, 18
Factor -5*a**4 + 25*a**3 - 5*a**2 - 105*a + 90.
-5*(a - 3)**2*(a - 1)*(a + 2)
What is a in -a**2/11 + 8*a/11 - 7/11 = 0?
1, 7
Determine g, given that 5*g**4 - 15*g**3 + 10*g**2 = 0.
0, 1, 2
Solve 4*v**5 - 936*v**4 + 1852*v**3 + 936*v**2 - 1856*v = 0 for v.
-1, 0, 1, 2, 232
Solve -3*j**3/7 - 54*j**2/7 - 243*j/7 = 0.
-9, 0
Let -q**3 - 18*q**2 - 60*q - 56 = 0. What is q?
-14, -2
Find q, given that 4*q**3 - 12*q**2 + 16 = 0.
-1, 2
Factor r**2/2 + 143*r + 20449/2.
(r + 143)**2/2
Let 3*k**2 - 462*k + 459 = 0. What is k?
1, 153
Suppose 2*c**4/11 - 20*c**3/11 + 50*c**2/11 = 0. What is c?
0, 5
Solve -2*c**2/9 + 404*c/9 + 406/9 = 0 for c.
-1, 203
What is z in 4*z**2 + 1864*z + 1860 = 0?
-465, -1
Factor 2*j**4/13 - 6*j**3/13 - 44*j**2/13 + 48*j/13.
2*j*(j - 6)*(j - 1)*(j + 4)/13
Factor -x**5/4 - 30*x**4 - 900*x**3.
-x**3*(x + 60)**2/4
Suppose -f**2 - 57*f - 722 = 0. Calculate f.
-38, -19
Let -s**2/2 - 87*s/2 - 280 = 0. Calculate s.
-80, -7
Factor -30*a**3 - 5*a**2 + 120*a + 20.
-5*(a - 2)*(a + 2)*(6*a + 1)
Factor m**3/3 - 7*m**2 - 51*m - 81.
(m - 27)*(m + 3)**2/3
Find t, given that -7*t**5/2 - 51*t**4/2 - 7*t**3/2 + 51*t**2/2 + 7*t = 0.
-7, -1, -2/7, 0, 1
Suppose -g**2/3 - 15*g + 364/3 = 0. Calculate g.
-52, 7
Factor -2*h**2 + 14*h/5 - 4/5.
-2*(h - 1)*(5*h - 2)/5
Let h**4 - 8*h**3 + 12*h**2 = 0. What is h?
0, 2, 6
Factor 2*g**5/5 - 18*g**4/5 + 48*g**3/5 - 8*g**2.
2*g**2*(g - 5)*(g - 2)**2/5
Factor w**2/6 + 17*w/2 + 94/3.
(w + 4)*(w + 47)/6
Determine i so that 3*i**2 + 72*i + 240 = 0.
-20, -4
Suppose -2*c**2/5 - 198*c = 0. What is c?
-495, 0
Let -r**2/2 + r + 4 = 0. Calculate r.
-2, 4
Suppose -r**3/3 - 26*r**2 - 289*r - 1430/3 = 0. What is r?
-65, -11, -2
Let -3*w**2/2 - 1323*w + 2652 = 0. Calculate w.
-884, 2
Factor -7*b**3 + 247*b**2 - 1288*b + 348.
-(b - 29)*(b - 6)*(7*b - 2)
Factor 14*t**4 - 16*t**3 - 12*t**2 + 16*t - 2.
2*(t - 1)**2*(t + 1)*(7*t - 1)
What is h in -4*h**5 - 12*h**4 + 60*h**3 - 68*h**2 + 24*h = 0?
-6, 0, 1
Suppose 618*a**3 + 364*a**2 - 32*a = 0. What is a?
-2/3, 0, 8/103
Solve -10*t**3 - 52*t**2 - 70*t - 12 = 0.
-3, -2, -1/5
Factor 4*v**4 + 8*v**3 - 20*v**2 - 24*v.
4*v*(v - 2)*(v + 1)*(v + 3)
Factor -m**4/3 + 31*m**3/3 - 39*m**2 - 331*m/3 - 182/3.
-(m - 26)*(m - 7)*(m + 1)**2/3
Suppose 2*r**2/9 - 2872*r/9 + 1031048/9 = 0. What is r?
718
Determine n so that n**4/10 + 9*n**3/10 + 12*n**2/5 + 2*n = 0.
-5, -2, 0
Factor -5*n**4 - 45*n**3 - 35*n**2 + 45*n + 40.
-5*(n - 1)*(n + 1)**2*(n + 8)
Factor 44*t**2 - 108*t + 40.
4*(t - 2)*(11*t - 5)
Solve 5*a**3 + 50*a**2 - 135*a - 180 = 0 for a.
-12, -1, 3
Factor 2*t**2 + 38*t + 180.
2*(t + 9)*(t + 10)
Factor 6*u**4 - 34*u**3 + 56*u**2 - 24*u.
2*u*(u - 3)*(u - 2)*(3*u - 2)
Solve 4*d**4 + 120*d**3 + 116*d**2 = 0 for d.
-29, -1, 0
Find k, given that -9*k**5/4 - 61*k**4/4 - 29*k**3/2 + 40*k**2 - 8*k = 0.
-4, 0, 2/9, 1
Factor -s**5/2 - 5*s**4 - 33*s**3/2 - 20*s**2 - 8*s.
-s*(s + 1)**2*(s + 4)**2/2
Let -2*f**2 + 32*f - 96 = 0. What is f?
4, 12
Suppose -24*r**3/5 + 332*r**2/5 + 56*r/5 = 0. Calculate r.
-1/6, 0, 14
Let 2*a**5/3 - 2*a**4/9 - 14*a**3 + 18*a**2 - 40*a/9 = 0. What is a?
-5, 0, 1/3, 1, 4
Factor 3*q**2 - 111*q + 558.
3*(q - 31)*(q - 6)
Determine g, given that 5*g**3/3 - 560*g**2/3 = 0.
0, 112
Find f such that f**5 + 11*f**4 + 38*f**3 + 52*f**2 + 24*f = 0.
-6, -2, -1, 0
Factor 5*q**3 - 10*q**2 - 5*q + 10.
5*(q - 2)*(q - 1)*(q + 1)
Factor -5*f**4/6 + 15*f**3 - 305*f**2/6 - 150*f - 250/3.
-5*(f - 10)**2*(f + 1)**2/6
Factor -5*t**4 - 725*t**3 - 25905*t**2 + 28105*t + 53290.
-5*(t - 2)*(t + 1)*(t + 73)**2
Solve -2*k**4 - 30*k**3 - 96*k**2 - 88*k = 0.
-11, -2, 0
Find s, given that s**5/7 + 15*s**4/7 + 47*s**3/7 - 9*s**2 = 0.
-9, -7, 0, 1
Factor -a**3 - 6*a**2 - 8*a.
-a*(a + 2)*(a + 4)
Determine a so that 2*a**3 - 1522*a**2 + 290320*a - 288800 = 0.
1, 380
Find c, given that -3*c**4 + 2334*c**3 - 451620*c**2 - 912600*c = 0.
-2, 0, 390
Solve c**2/2 - 84*c + 3528 = 0.
84
Find a such that -5*a**5/3 - 25*a**4/3 - 50*a**3/3 - 50*a**2/3 - 25*a/3 - 5/3 = 0.
-1
Solve -4*t**5 - 60*t**4 + 12*t**3 + 172*t**2 - 120*t = 0.
-15, -2, 0, 1
Suppose 2*m**5/3 - 76*m**4 + 2888*m**3 - 109744*m**2/3 = 0. What is m?
0, 38
Factor 5*z**4/2 - 19*z**3 + 19*z**2/2 + 7*z.
z*(z - 7)*(z - 1)*(5*z + 2)/2
Factor 18*s**2/5 - 32*s/5 - 8/5.
2*(s - 2)*(9*s + 2)/5
Determine i, given that 2*i**2/7 - 106*i/7 + 56 = 0.
4, 49
Factor -27*o**4 - 63*o**3 + 312*o**2 - 240*o.
-3*o*(o + 5)*(3*o - 4)**2
Factor 4*z**2 + 9*z/2 + 1/2.
(z + 1)*(8*z + 1)/2
Let -3*f**2/7 - 330*f/7 - 9075/7 = 0. What is f?
-55
Solve -2*g**2 + 4*g + 48 = 0.
-4, 6
Factor 5*m**3 + 4710*m**2 + 4705*m.
5*m*(m + 1)*(m + 941)
Factor -d**2/5 - 23*d/5 + 78/5.
-(d - 3)*(d + 26)/5
What is d in -5*d**4 - 450*d**3 - 1320*d**2 - 1310*d - 435 = 0?
-87, -1
Solve -z**5 + 8*z**4 - 22*z**3 + 28*z**2 - 17*z + 4 = 0 for z.
1, 4
Let -38*a**3 - 80*a**2 - 46*a - 4 = 0. What is a?
-1, -2/19
Find h such that 4*h**3 + 20*h**2 - 88*h + 64 = 0.
-8, 1, 2
Factor -40898*g**2 - 572*g - 2.
-2*(143*g + 1)**2
Factor 7*v**3/4 + 1609*v**2/2 - 1847*v + 462.
(v - 2)*(v + 462)*(7*v - 2)/4
Factor 4*n**2 + 12*n - 16.
4*(n - 1)*(n + 4)
Factor 2*q**2/7 - 6*q + 40/7.
2*(q - 20)*(q - 1)/7
Find a, given that a**5 + 6*a**4 - 9*a**3 - 14*a**2 = 0.
-7, -1, 0, 2
Solve -3*y**5 + 639*y**4 - 33705*y**3 - 34347*y**2 = 0 for y.
-1, 0, 107
Factor 2*w**2/9 - 8*w/9.
2*w*(w - 4)/9
Solve 35*t**4 + 795*t**3 - 2960*t**2 + 780*t = 0.
-26, 0, 2/7, 3
Factor -2*t**2/17 + 26*t/17 - 44/17.
-2*(t - 11)*(t - 2)/17
Factor -25*w**4/4 - 505*w**3 - 10401*w**2 - 8080*w - 1600.
-(w + 40)**2*(5*w + 2)**2/4
Suppose 2*s**2/7 + 22*s = 0. Calculate s.
-77, 0
Factor 4*a**4 + 24*a**3 + 52*a**2 + 48*a + 16.
4*(a + 1)**2*(a + 2)**2
What is o in 3*o**2 + 306*o + 7803 = 0?
-51
Determine o, given that 10*o**5/21 + 26*o**4/7 - 6*o**3 - 158*o**2/21 + 12*o/7 = 0.
-9, -1, 0, 1/5, 2
Suppose -v**2/2 - 55*v/2 + 150 = 0. Calculate v.
-60, 5
Determine m, given that -m**4/4 - 25*m**3/2 - 673*m**2/4 - 300*m - 144 = 0.
-24, -1
Suppose -2*c**5 - 68*c**4 - 494*c**3 + 1644*c**2 + 2808*c - 3888 = 0. Calculate c.
-18, -2, 1, 3
Determine k, given that -5*k**4/3 + 417*k**3/2 + 1679*k**2/2 - 383*k/3 - 172 = 0.
-4, -2/5, 1/2, 129
Suppose -2*k**2 + 28*k + 30 = 0. What is k?
-1, 15
Find u such that 125*u**4 + 11150*u**3 + 75960*u**2 + 178848*u + 141696 = 0.
-82, -12/5
Determine c, given that -c**2/10 + 13*c/10 - 3 = 0.
3, 10
Factor 4802*h**2/5 + 588*h/5 + 18/5.
2*(49*h + 3)**2/5
Suppose 5*n**4 + 35*n**3 - 60*n**2 - 140*n + 160 = 0. What is n?
-8, -2, 1, 2
Factor -4*k**2 - 3008*k - 565504.
-4*(k + 376)**2
Factor 2*y**4 - 28*y**3 + 82*y**2 + 112*y.
2*y*(y - 8)*(y - 7)*(y + 1)
Let 4*s**5 - 12*s**4 - 4*s**3 + 12*s**2 = 0. Calculate s.
-1, 0, 1, 3
Determine n, given that 2*n**5/5 + 2*n**4/5 - 8*n**3/5 - 8*n**2/5 = 0.
-2, -1, 0, 2
Factor -4*w**3 - 88*w**2 