i**3 + 55*i**2 + 5*i = 0. What is i?
-1/3, -1/9, 0, 1
Factor -2*q**3/3 + 20*q**2/3 + 112*q/3.
-2*q*(q - 14)*(q + 4)/3
Suppose 21*j**4/2 + 59*j**3/4 - 3*j**2/2 - 21*j/4 + 1/2 = 0. What is j?
-1, 2/21, 1/2
Suppose 828*i**2 - 16*i/5 = 0. Calculate i.
0, 4/1035
Find q such that -q**4/3 - 95*q**3/3 + 97*q**2/3 + 95*q/3 - 32 = 0.
-96, -1, 1
Let -2*a**4 + 24*a**3 + 154*a**2 + 264*a + 136 = 0. What is a?
-2, -1, 17
Solve -2*t**5 + 262*t**4 - 260*t**3 = 0 for t.
0, 1, 130
Suppose 15*n**5 - 130*n**4 + 245*n**3 + 10*n**2 - 260*n + 120 = 0. Calculate n.
-1, 2/3, 1, 2, 6
Factor l**5/10 + 7*l**4/10 - 17*l**3/10 - 83*l**2/10 - 46*l/5 - 16/5.
(l - 4)*(l + 1)**3*(l + 8)/10
Factor 2*h**4 + 20*h**3 - 46*h**2 + 24*h.
2*h*(h - 1)**2*(h + 12)
Determine n so that 2*n**2/11 + 140*n/11 + 2450/11 = 0.
-35
Factor 5*y**3/2 - 25*y**2 + 5*y/2 + 300.
5*(y - 8)*(y - 5)*(y + 3)/2
Let 4*l**2 - 80*l - 84 = 0. Calculate l.
-1, 21
Solve -3*u**5/4 - 15*u**4/4 - 21*u**3/4 - 9*u**2/4 = 0 for u.
-3, -1, 0
Solve 3*t**3 - 72*t**2 + 495*t - 1050 = 0.
5, 14
Factor 2*f**3/9 + 26*f**2/3 + 50*f/3 + 74/9.
2*(f + 1)**2*(f + 37)/9
Suppose 3*x**4/2 - 12*x**3 + 33*x**2/2 + 48*x - 90 = 0. What is x?
-2, 2, 3, 5
Determine x so that -24*x**2 - 33*x - 9 = 0.
-1, -3/8
Factor 4*k**2 - 128*k.
4*k*(k - 32)
What is g in -g**5/2 + 7*g**4/2 + 11*g**3 - 14*g**2 - 36*g = 0?
-2, 0, 2, 9
Let l**3/4 - 37*l**2/4 + 191*l/4 - 155/4 = 0. What is l?
1, 5, 31
Factor 4*t**2 + 64*t + 192.
4*(t + 4)*(t + 12)
Factor 5*v**5 + 30*v**4 - 160*v**2.
5*v**2*(v - 2)*(v + 4)**2
Factor 2*y**3/7 + 72*y**2/7 + 10*y.
2*y*(y + 1)*(y + 35)/7
Factor m**4/2 - 27*m**3 + 47*m**2/2 + 159*m.
m*(m - 53)*(m - 3)*(m + 2)/2
Suppose -d**2/5 - 88*d/5 - 1936/5 = 0. What is d?
-44
Factor a**3/6 - 10*a**2/3 + 17*a/6 + 19/3.
(a - 19)*(a - 2)*(a + 1)/6
Factor k**4 - 81*k**3 + 80*k**2.
k**2*(k - 80)*(k - 1)
Factor -4*t**3 + 96*t**2 - 468*t - 1352.
-4*(t - 13)**2*(t + 2)
What is r in -84*r**5 + 179*r**4 + 240*r**3 - 53*r**2 - 30*r = 0?
-1, -2/7, 0, 5/12, 3
Find t, given that 4*t**4/13 + 2*t**3/13 - 108*t**2/13 - 270*t/13 - 108/13 = 0.
-3, -1/2, 6
Solve -4*j**3 + 112*j**2 + 240*j = 0.
-2, 0, 30
What is n in 2*n**2/19 + 40*n/19 = 0?
-20, 0
Factor 83*b**3/3 + 222*b**2 + 448*b + 32/3.
(b + 4)**2*(83*b + 2)/3
Find z, given that -z**2 - 322*z + 648 = 0.
-324, 2
Suppose 3*j**3 + 285*j**2 - 1818*j = 0. What is j?
-101, 0, 6
Solve -j**2/7 - 566*j/7 + 1136/7 = 0 for j.
-568, 2
Let -2*o**5/3 + 10*o**4/3 - 2*o**3 - 10*o**2/3 + 8*o/3 = 0. Calculate o.
-1, 0, 1, 4
Let -5*n**3 - 1765*n**2 + 1770*n = 0. What is n?
-354, 0, 1
Determine q so that -4*q**2 + 1832*q - 209764 = 0.
229
Solve -4*a**2 + 88*a - 384 = 0 for a.
6, 16
Determine y so that 4*y**2 - 192*y - 1540 = 0.
-7, 55
Solve 15*l**5/4 - 237*l**4/2 - 63*l**3 + 474*l**2 + 192*l = 0.
-2, -2/5, 0, 2, 32
Factor -f**3/2 - 3*f**2 + 7*f/2.
-f*(f - 1)*(f + 7)/2
Factor -2*o**4/7 - 16*o**3/7 - 48*o**2/7 - 64*o/7 - 32/7.
-2*(o + 2)**4/7
Factor p**5 - 22*p**4 + 60*p**3 - 58*p**2 + 19*p.
p*(p - 19)*(p - 1)**3
Factor -5*v**2 - 230*v - 2600.
-5*(v + 20)*(v + 26)
Factor -5*f**3 + 3150*f**2 - 661500*f + 46305000.
-5*(f - 210)**3
Find h, given that 4*h**3 + 28*h**2 = 0.
-7, 0
Determine d, given that -4*d**3 - 228*d**2 - 3132*d + 3364 = 0.
-29, 1
Factor -u**2/6 + 10*u + 62/3.
-(u - 62)*(u + 2)/6
Suppose -u**5/2 + 5*u**4/2 - u**3/2 - 17*u**2/2 + 11*u - 4 = 0. What is u?
-2, 1, 4
Factor v**5/2 + 5*v**4/2 + v**3/2 - 21*v**2/2 - 9*v.
v*(v - 2)*(v + 1)*(v + 3)**2/2
Let -c**3/7 + 5*c**2/7 = 0. Calculate c.
0, 5
Factor s**3/2 - s**2/2 - 9*s/2 + 9/2.
(s - 3)*(s - 1)*(s + 3)/2
Determine b, given that -42*b**5 - 82*b**4 + 204*b**3 + 232*b**2 + 48*b = 0.
-3, -2/3, -2/7, 0, 2
Factor 2*x**3/9 + 28*x**2/9 - 64*x/9.
2*x*(x - 2)*(x + 16)/9
Factor 2*g**2/5 - 78*g/5.
2*g*(g - 39)/5
Find f, given that -21*f**4/8 + 99*f**3/8 - 117*f**2/8 + 21*f/8 + 9/4 = 0.
-2/7, 1, 3
Determine z, given that z**4/3 + 40*z**3/3 + 35*z**2/3 - 160*z/3 - 52 = 0.
-39, -2, -1, 2
Factor i**2 + 132*i + 4356.
(i + 66)**2
Solve -3*s**4 + 9*s**3 = 0.
0, 3
What is r in 4*r**4 - 16*r**3 - 24*r**2 + 16*r + 20 = 0?
-1, 1, 5
Determine s so that 2*s**5 - 300*s**4 + 11544*s**3 - 21904*s**2 = 0.
0, 2, 74
Find a such that -4*a**2 + 140*a - 600 = 0.
5, 30
Factor -l**3 - 34*l**2 + 37*l + 70.
-(l - 2)*(l + 1)*(l + 35)
Factor -2*w**3 - 8*w**2 + 22*w - 12.
-2*(w - 1)**2*(w + 6)
Factor 3*t**3 - 2169*t**2 - 4347*t - 2175.
3*(t - 725)*(t + 1)**2
Find p such that -2*p**4/13 + 40*p**3/13 + 132*p**2/13 + 136*p/13 + 46/13 = 0.
-1, 23
Solve 2*f**4 + 150*f**3 - 154*f**2 - 150*f + 152 = 0 for f.
-76, -1, 1
Let 2*s**3/11 + 74*s**2/11 = 0. What is s?
-37, 0
Factor 4*w**4/3 + 104*w**3/3 + 676*w**2/3.
4*w**2*(w + 13)**2/3
Solve -16*f**5/7 + 22*f**4/7 + 26*f**3/7 - 12*f**2/7 = 0 for f.
-1, 0, 3/8, 2
Factor -104400*h**3/7 - 34512*h**2/7 - 2804*h/7 + 8/7.
-4*(6*h + 1)**2*(725*h - 2)/7
Factor i**5 - i**4 - 8*i**3 + 8*i**2 + 16*i - 16.
(i - 2)**2*(i - 1)*(i + 2)**2
Find o such that 2*o**2 + 10*o - 28 = 0.
-7, 2
Determine o so that -10*o**2/17 + 8*o/17 + 24/17 = 0.
-6/5, 2
Solve 5*f**3 + 30*f**2 + 40*f = 0 for f.
-4, -2, 0
Suppose -s**2 - 3715*s = 0. Calculate s.
-3715, 0
Factor 3*t**3/5 + 57*t**2/5 + 192*t/5 - 252/5.
3*(t - 1)*(t + 6)*(t + 14)/5
Suppose 2*b**2 - 16076*b + 32304722 = 0. Calculate b.
4019
Factor -r**4/3 + 41*r**3/3 - 71*r**2/3 - 269*r/3 - 52.
-(r - 39)*(r - 4)*(r + 1)**2/3
Let -m**4/2 - 137*m**3/3 - 1135*m**2/6 - 58*m = 0. What is m?
-87, -4, -1/3, 0
Factor 3*r**4 - 180*r**3 + 2169*r**2 - 6288*r - 8640.
3*(r - 45)*(r - 8)**2*(r + 1)
Determine t, given that -2*t**2/5 + 104*t/5 + 504 = 0.
-18, 70
Factor -4*d**5/3 - 16*d**4/3 - 8*d**3 - 16*d**2/3 - 4*d/3.
-4*d*(d + 1)**4/3
Factor n**4/3 + 48*n**3 - 146*n**2 + 440*n/3 - 49.
(n - 1)**3*(n + 147)/3
Let -2*v**5 - 10*v**4 = 0. Calculate v.
-5, 0
Find f such that -2*f**2/17 - 22*f/17 + 252/17 = 0.
-18, 7
Factor 5*f**2 - 280*f + 1920.
5*(f - 48)*(f - 8)
Factor -a**4/4 + 5*a**3 - 37*a**2/2 - 77*a + 363/4.
-(a - 11)**2*(a - 1)*(a + 3)/4
Factor p**2 + 552*p - 553.
(p - 1)*(p + 553)
Suppose 2*p**2 + 936*p + 109512 = 0. Calculate p.
-234
Factor -2*o**2 - 1008*o + 1010.
-2*(o - 1)*(o + 505)
Find h, given that -5*h**5 + 340*h**4 + 375*h**3 - 2050*h**2 - 1420*h + 2760 = 0.
-2, 1, 2, 69
Let -h**3/2 + 6*h**2 - 9*h/2 - 81 = 0. Calculate h.
-3, 6, 9
Find f, given that f**4/4 + 5*f**3/4 + f**2/4 - 21*f/4 - 9/2 = 0.
-3, -1, 2
Let -o**5/3 - 7*o**4/3 - 7*o**3/3 + 5*o**2 = 0. What is o?
-5, -3, 0, 1
Factor 2*n**4/7 - 8*n**3/7 - 10*n**2/7.
2*n**2*(n - 5)*(n + 1)/7
Suppose -3*h**2 - 42*h - 144 = 0. Calculate h.
-8, -6
Find t, given that -3*t**2 - 156*t - 2025 = 0.
-27, -25
What is x in -3*x**5 - 3*x**4 + 27*x**3 - 33*x**2 + 12*x = 0?
-4, 0, 1
Determine y so that 5*y**4 - 70*y**3 + 225*y**2 + 280*y - 980 = 0.
-2, 2, 7
Let -2*k**3/7 + 12*k**2 - 34*k + 156/7 = 0. What is k?
1, 2, 39
Solve g**5/5 - g**4 + 4*g**3/5 = 0 for g.
0, 1, 4
Factor -3*w**4 + 285*w**3 + 1221*w**2 - 3285*w + 1782.
-3*(w - 99)*(w - 1)**2*(w + 6)
Solve -2*b**5/3 - 5398*b**4/9 + 12622*b**3/9 - 602*b**2 - 5408*b/9 + 3608/9 = 0 for b.
-902, -2/3, 1
Factor 3*i**4/5 - 73*i**3/5 + 456*i**2/5 - 144*i/5.
i*(i - 12)**2*(3*i - 1)/5
Solve -3*i**3/5 + 3822*i**2/5 - 1217307*i/5 = 0 for i.
0, 637
Find s, given that -3*s**4 - 6*s**3 + 291*s**2 - 786*s + 504 = 0.
-12, 1, 2, 7
Factor 8*d**3 - 78*d**2/5 + 36*d/5 + 2/5.
2*(d - 1)**2*(20*d + 1)/5
What is w in 2*w**4/15 - 28*w**3/15 + 88*w**2/15 - 16*w/3 = 0?
0, 2, 10
What is g in -2*g**5/5 + 66*g**4/5 + 28*g**3 + 4*g**2/5 - 138*g/5 - 14 = 0?
-1, 1, 35
Suppose -g**3 - 5*g**2 + 608*g + 6912 = 0. What is g?
-16, 27
Factor -2*v**4 + 16*v**3 + 18*v**2 - 184*v - 280.
-2*(v - 7)*(v - 5)*(v + 2)**2
Solve -3*y**5 - 9*y**4 - 6*y**3 + 6*y**2 + 9*y + 3 = 0 for y.
-1, 1
Factor 3*f**2/7 - 37032*f/7 + 114280752/7.
3*(f - 6172)**2/7
Factor y**3/7 + 2*y**2/7 - 8*y/7.
y*(y - 2)*(y + 4)/7
Suppose -2*i**4/9 + 8*i**3/9 + 4*i**2 + 40*i/9 + 14/9 = 0. Calculate i.
-1, 7
Factor y**5 - 9*y**4 + 9*y**3 + 85*y**2 - 150*y.
y*(y - 5)**2*(y - 2)*(y + 3)
Let q**2 - 164*q + 6724 = 0. Calculate q.
82
Find h, given that -h**3/4 - 19*h**2/2 + 41*h/4 + 39/2 = 0.
-39, -1, 2
Find g such that -5*g**5/11 - 247*g**4/11 + 157*g**3/11 + 347*g**2/11 - 152*g/11 - 100/11 = 0.
-50, -1, -2/5, 1
Let 2*w**4 - 14*w**3 + 18*w