*4/13 - 152*w**3/13 - 524*w**2/13 + 154*w/13 + 484/13 = 0.
-2, -1, 1, 11
Determine i so that i**4 - 33*i**3 + 193*i**2 - 291*i + 130 = 0.
1, 5, 26
What is l in -25*l**5 + 205*l**4 - 155*l**3 - 205*l**2 + 180*l = 0?
-1, 0, 1, 36/5
Factor f**4 - 15*f**3 - 225*f**2 + 3375*f.
f*(f - 15)**2*(f + 15)
Factor -4*f**3 - 716*f**2 + 4*f + 716.
-4*(f - 1)*(f + 1)*(f + 179)
Let 5*h**4/4 - 15*h**3/4 - 165*h**2/4 - 265*h/4 - 30 = 0. Calculate h.
-3, -1, 8
Factor -3*k**5 + 690*k**4 - 38271*k**3 - 161460*k**2 - 164268*k.
-3*k*(k - 117)**2*(k + 2)**2
Find c, given that -c**5/4 + c**4 - 5*c**3/4 + c**2/2 = 0.
0, 1, 2
Find c, given that 2*c**5/5 + 24*c**4/5 + 34*c**3/5 - 68*c**2/5 - 72*c/5 + 16 = 0.
-10, -2, 1
Let -2*h**2 + 844*h - 89042 = 0. What is h?
211
What is h in h**4 + 5*h**3 - 14*h**2 = 0?
-7, 0, 2
Factor -q**3/6 - 26*q**2/3 - 101*q/6 - 25/3.
-(q + 1)**2*(q + 50)/6
Factor d**2 + 165*d + 486.
(d + 3)*(d + 162)
Factor h**4 + 61*h**3 + 119*h**2 + 59*h.
h*(h + 1)**2*(h + 59)
Let 4*z**5/3 - 32*z**4/3 + 20*z**3 = 0. Calculate z.
0, 3, 5
Factor -2*g**5/9 - 122*g**4/9 - 2396*g**3/9 - 1484*g**2 + 3822*g - 2058.
-2*(g - 1)**2*(g + 21)**3/9
Determine p so that -p**2/2 + 47*p/2 - 23 = 0.
1, 46
Suppose -3*r**2/5 + 6*r + 33/5 = 0. Calculate r.
-1, 11
Factor 3*h**3 - 54*h**2 + 195*h + 252.
3*(h - 12)*(h - 7)*(h + 1)
What is b in 2*b**5/13 + 6*b**4/13 - 20*b**3/13 + 4*b**2/13 + 18*b/13 - 10/13 = 0?
-5, -1, 1
Factor -2*z**3 - 124*z**2.
-2*z**2*(z + 62)
Factor -r**2 - 101*r - 198.
-(r + 2)*(r + 99)
Determine m so that 4*m**5/3 + 2*m**4/3 - 32*m**3/3 - 16*m**2/3 + 64*m/3 + 32/3 = 0.
-2, -1/2, 2
Solve -f**4 + 39*f**3/4 - 49*f**2/2 + 45*f/4 + 9/2 = 0.
-1/4, 1, 3, 6
Determine s so that 2*s**4/3 - 8*s**3/3 + 2*s**2/3 + 4*s = 0.
-1, 0, 2, 3
Factor 3*m**5 + 33*m**4 + 57*m**3 - 345*m**2 - 600*m + 1500.
3*(m - 2)**2*(m + 5)**3
Let -594*f**2/7 + 1002*f/7 - 20/7 = 0. What is f?
2/99, 5/3
Factor -5*g**3/6 + 5*g**2/6.
-5*g**2*(g - 1)/6
Solve 6*t**2/7 + 678*t/7 + 636 = 0.
-106, -7
Find g, given that 4*g**4 + 32*g**3 - 488*g**2 - 1056*g - 540 = 0.
-15, -1, 9
Determine n, given that n**2/7 + 12*n/7 + 11/7 = 0.
-11, -1
Factor q**3 + 25*q**2 + 123*q + 171.
(q + 3)**2*(q + 19)
Factor -2*m**2 - 11648*m - 16959488.
-2*(m + 2912)**2
Factor h**3/7 + 17*h**2/7 + 30*h/7.
h*(h + 2)*(h + 15)/7
Find b such that 2*b**5/5 - 26*b**4/5 + 78*b**3/5 - 46*b**2/5 - 16*b + 72/5 = 0.
-1, 1, 2, 9
Find w, given that -3*w**2 - 1638*w = 0.
-546, 0
Determine u so that -15*u**2 - 69*u/4 - 9/4 = 0.
-1, -3/20
Let -5*n**3 - 585*n**2 - 2280*n - 2260 = 0. What is n?
-113, -2
Find d, given that -4*d**3 + 100*d**2 - 456*d = 0.
0, 6, 19
Factor 3*f**3/2 - 15*f**2/2 - 9*f.
3*f*(f - 6)*(f + 1)/2
Factor 5*x**3/3 - 26*x**2 - 32*x/3.
x*(x - 16)*(5*x + 2)/3
Find r, given that 2*r**5 + 6*r**4 - 2*r**3 - 14*r**2 + 8 = 0.
-2, -1, 1
Factor 4*r**3 + 136*r**2 + 496*r + 480.
4*(r + 2)**2*(r + 30)
Factor -5*h**2 - 620*h + 7425.
-5*(h - 11)*(h + 135)
Factor -4*z**2/3 - 202*z/3 - 100/3.
-2*(z + 50)*(2*z + 1)/3
Factor 93*l**2/5 + 36*l - 12/5.
3*(l + 2)*(31*l - 2)/5
Find s, given that s**2/3 - 10*s + 75 = 0.
15
What is d in -5*d**5 - 20*d**4 + 5*d**3 + 20*d**2 = 0?
-4, -1, 0, 1
Suppose -2*p**2 - 19*p/3 + 25/3 = 0. Calculate p.
-25/6, 1
Solve -196*q**4 + 672*q**3 + 1412*q**2 + 624*q + 80 = 0.
-1, -2/7, 5
Factor w**5 - 14*w**4 + w**3 + 156*w**2.
w**2*(w - 13)*(w - 4)*(w + 3)
Let 2*c**2/5 + 3596*c/5 + 1616402/5 = 0. What is c?
-899
Find m such that -5*m**5 - 15*m**4 + 5*m**3 + 35*m**2 - 20 = 0.
-2, -1, 1
Factor -3*r**5/5 + 3*r**4/5 + 3*r**3/5 - 3*r**2/5.
-3*r**2*(r - 1)**2*(r + 1)/5
Suppose -2*i**4/7 + 66*i**3/7 - 380*i**2/7 + 384*i/7 + 832/7 = 0. Calculate i.
-1, 4, 26
Factor -o**4/3 - 2*o**3 + 3*o**2 + 14*o/3.
-o*(o - 2)*(o + 1)*(o + 7)/3
Factor -5*g**4 - 20*g**3 + 30*g**2 + 20*g - 25.
-5*(g - 1)**2*(g + 1)*(g + 5)
Factor q**2/3 + 29*q/3.
q*(q + 29)/3
Factor g**4 - 3*g**3 - 60*g**2 + 368*g - 576.
(g - 4)**3*(g + 9)
Suppose 12*v**5 - 64*v**4 - 1140*v**3 - 728*v**2 = 0. Calculate v.
-7, -2/3, 0, 13
Solve -10*n**2/11 - 104*n/11 - 40/11 = 0.
-10, -2/5
Factor -6*h**3/13 - 20*h**2/13 - 6*h/13.
-2*h*(h + 3)*(3*h + 1)/13
Solve 3*y**3 - 468*y**2/7 + 2673*y/7 - 726/7 = 0.
2/7, 11
Determine n, given that -2*n**3 + 24*n**2 - 18*n - 44 = 0.
-1, 2, 11
Factor 6*m**4 - 9*m**3 - 24*m**2 - 9*m.
3*m*(m - 3)*(m + 1)*(2*m + 1)
Suppose 21632*h**3/15 - 4576*h**2/3 + 422*h/5 - 6/5 = 0. What is h?
3/104, 1
Suppose 5*p**2 - 610*p + 18605 = 0. Calculate p.
61
Solve 3*c**5 - 42*c**4 - 348*c**3 + 1266*c**2 - 1335*c + 456 = 0 for c.
-8, 1, 19
Let -o**4 + 43*o**3 - 206*o**2 - 592*o = 0. What is o?
-2, 0, 8, 37
Factor -2*z**4/7 - 334*z**3/7 - 14110*z**2/7 - 13778*z/7.
-2*z*(z + 1)*(z + 83)**2/7
Suppose -x**2/9 + 16*x/9 - 64/9 = 0. What is x?
8
Solve -2*q**5 + 266*q**4/3 + 562*q**3/9 - 982*q**2/9 - 368*q/9 + 40 = 0.
-1, 2/3, 45
Find g such that g**4/6 - 17*g**3/6 + 19*g**2/2 + 63*g/2 - 81 = 0.
-3, 2, 9
Solve 28*z**5 - 620*z**4 + 1236*z**3 - 724*z**2 + 80*z = 0.
0, 1/7, 1, 20
Factor i**3 - 25*i**2 - i + 25.
(i - 25)*(i - 1)*(i + 1)
Factor 2*d**3/17 + 90*d**2 + 22950*d + 1950750.
2*(d + 255)**3/17
Let 2*t**2 + 748*t + 746 = 0. Calculate t.
-373, -1
Let -2*a**2/11 + 38*a/11 + 184/11 = 0. What is a?
-4, 23
Let -57*f**2/7 + 7131*f/7 - 750/7 = 0. What is f?
2/19, 125
Let 5*n**4 + 5*n**3 - 15*n**2 - 25*n - 10 = 0. Calculate n.
-1, 2
Factor 2*r**2/17 - 108*r/17 + 1216/17.
2*(r - 38)*(r - 16)/17
Factor -5*u**4 + 20*u**3 + 50*u**2 - 140*u + 75.
-5*(u - 5)*(u - 1)**2*(u + 3)
Factor -2*x**2 - 196*x + 198.
-2*(x - 1)*(x + 99)
Factor l**2/7 - 3*l/7 - 10/7.
(l - 5)*(l + 2)/7
What is o in -4*o**2/7 + 1840*o/7 + 528 = 0?
-2, 462
Determine w, given that 2*w**4 - 8*w**3 + 12*w**2 - 8*w + 2 = 0.
1
Factor m**2/6 - 941*m/6 - 943/3.
(m - 943)*(m + 2)/6
Find a, given that 3*a**2 - 243 = 0.
-9, 9
Determine f, given that 2*f**5 + 190*f**4 - 194*f**3 - 190*f**2 + 192*f = 0.
-96, -1, 0, 1
Factor -5*z**4 + 3405*z**3 - 13560*z**2 + 13540*z.
-5*z*(z - 677)*(z - 2)**2
Solve 4*p**2 - 104*p - 1088 = 0.
-8, 34
Find b such that -2*b**5/15 - 2*b**4 - 124*b**3/15 - 68*b**2/15 + 42*b/5 + 98/15 = 0.
-7, -1, 1
Factor -3*t**4 + 15*t**3 + 63*t**2 + 69*t + 24.
-3*(t - 8)*(t + 1)**3
Factor -g**5/9 + 14*g**4/9 + 8*g**3/9 - 368*g**2/9 - 1040*g/9 - 800/9.
-(g - 10)**2*(g + 2)**3/9
Suppose -2*k**4/9 + 4*k**2/9 - 2/9 = 0. Calculate k.
-1, 1
Let -2*h**3/3 - 134*h**2 - 6386*h + 106090/3 = 0. Calculate h.
-103, 5
Let 2*w**4/5 + 22*w**3/5 + 46*w**2/5 - 14*w = 0. What is w?
-7, -5, 0, 1
Let p**4/9 - 5*p**3/3 + 19*p**2/3 - 17*p/9 - 10 = 0. Calculate p.
-1, 2, 5, 9
Suppose 3*g**4/4 - 33*g**3/4 + 93*g**2/4 - 63*g/4 = 0. Calculate g.
0, 1, 3, 7
Factor 5*f**4/6 - 70*f**3/3 + 200*f**2 - 2080*f/3 + 2560/3.
5*(f - 16)*(f - 4)**3/6
Determine b so that 4*b**2 + 2244*b + 15512 = 0.
-554, -7
Find k such that k**4/2 + 5*k**3 + 33*k**2/2 + 20*k + 8 = 0.
-4, -1
Factor 16*g**5 + 8*g**4 - 15*g**3 - 8*g**2 - g.
g*(g - 1)*(g + 1)*(4*g + 1)**2
Find z such that -6*z**4/5 + 142*z**3 - 212*z**2/5 - 568*z + 944/5 = 0.
-2, 1/3, 2, 118
Find j, given that 14*j**3/15 - 1112*j**2/15 + 4352*j/3 + 2560/3 = 0.
-4/7, 40
What is p in -5*p**2/2 + 15*p - 20 = 0?
2, 4
What is f in 2*f**2/23 - 842*f/23 = 0?
0, 421
Factor 39*s**3/4 - 21*s**2 + 51*s/4 - 3/2.
3*(s - 1)**2*(13*s - 2)/4
Factor q**2/3 - 172*q/3 - 175.
(q - 175)*(q + 3)/3
Find k such that -k**2/2 + 129*k/2 - 649 = 0.
11, 118
Factor p**3/2 - 42*p**2 - 547*p/2 + 315.
(p - 90)*(p - 1)*(p + 7)/2
Factor 2*v**5 - 328*v**4 - 2022*v**3 - 3060*v**2.
2*v**2*(v - 170)*(v + 3)**2
Factor -2*m**3 - 92*m**2 + 392*m - 400.
-2*(m - 2)**2*(m + 50)
What is m in 4*m**3 + 244*m**2 + 1356*m + 1980 = 0?
-55, -3
Factor 3*w**3 + 18*w**2 - 45*w - 300.
3*(w - 4)*(w + 5)**2
Determine a, given that 33*a**3/2 + 105*a**2/2 + 42*a + 6 = 0.
-2, -1, -2/11
Factor 2*y**3/3 - 2*y**2/3 - 13*y/2 - 6.
(y - 4)*(2*y + 3)**2/6
Determine h, given that -h**4 - 3*h**3 - 2*h**2 = 0.
-2, -1, 0
Factor 3*j**4/4 - 75*j**3/4 + 225*j**2/2.
3*j**2*(j - 15)*(j - 10)/4
Find y, given that -5*y**4 + 70*y**3 - 225*y**2 - 280*y + 980 = 0.
-2, 2, 7
Factor -2*x**2/15 + 34*x/15 - 32/15.
-2*(x - 16)*(x - 1)/15
Factor 3*p**3/5 - 951*p**2 - 19056*p/5 - 19068/5.
3*(p - 1589)*(p + 2)**2/5
Factor 3*q**2 + 534*q + 23763.
3*(q + 89)**2
Solve -2*l**2/7 + 14*l = 0 for l.
0