**3/7 + 52*y**2/7 - 256*y/7 + 272/7 = 0 for y.
-17, 2
Find w, given that w**2 + 30*w + 56 = 0.
-28, -2
Suppose -10*i**4/11 - 386*i**3/11 + 1006*i**2/11 + 890*i/11 - 492/11 = 0. What is i?
-41, -1, 2/5, 3
Factor 5*s**3 - 140*s**2 + 260*s.
5*s*(s - 26)*(s - 2)
Factor -a**2/5 + 842*a/5.
-a*(a - 842)/5
Factor 15*i**3 - 151*i**2 + 148*i - 36.
(i - 9)*(3*i - 2)*(5*i - 2)
Find m such that -m**4/3 - 6*m**3 - 56*m**2/3 + 64*m = 0.
-12, -8, 0, 2
Factor -3*s**2/2 + 17*s/6 - 4/3.
-(s - 1)*(9*s - 8)/6
Factor w**3/4 - 49*w**2/4 + 95*w/4 - 47/4.
(w - 47)*(w - 1)**2/4
Factor -2*n**3 - 244*n**2.
-2*n**2*(n + 122)
Solve -4*d**4 + 96*d**3 + 836*d**2 + 1056*d - 1984 = 0.
-4, 1, 31
Factor -5*o**4 + 20*o**3 - 5*o**2 - 30*o.
-5*o*(o - 3)*(o - 2)*(o + 1)
Find d, given that 3*d**3/2 + 165*d**2/2 - 663*d - 744 = 0.
-62, -1, 8
Find t such that -6*t**5/11 - 156*t**4/11 - 1296*t**3/11 - 2916*t**2/11 + 4374*t/11 = 0.
-9, 0, 1
Factor -5*t**4 + 75*t**3 - 55*t**2 - 975*t.
-5*t*(t - 13)*(t - 5)*(t + 3)
Let k**5/10 - 3*k**4/2 + 5*k**3 - 7*k**2 + 9*k/2 - 11/10 = 0. What is k?
1, 11
Determine j so that 5*j**5 + 50*j**4 + 80*j**3 - 10*j**2 - 85*j - 40 = 0.
-8, -1, 1
Let -3*j**4/4 - 10*j**3 + 37*j**2/2 - 4*j - 15/4 = 0. What is j?
-15, -1/3, 1
Factor -2*g**2/7 - 828*g/7 + 830/7.
-2*(g - 1)*(g + 415)/7
What is k in 2*k**3/9 + 346*k**2/9 + 15136*k/9 + 14792/9 = 0?
-86, -1
Factor 2*w**5/5 + 16*w**4/5 + 44*w**3/5 + 56*w**2/5 + 34*w/5 + 8/5.
2*(w + 1)**4*(w + 4)/5
Factor 5*i**4 - 55*i**3 - 1090*i**2 - 2820*i + 3960.
5*(i - 22)*(i - 1)*(i + 6)**2
Factor -25*d**3 + 1660*d**2 - 27885*d + 10890.
-5*(d - 33)**2*(5*d - 2)
Factor 2*j**2/5 + 8*j + 198/5.
2*(j + 9)*(j + 11)/5
Determine c, given that 2*c**3/5 - 316*c**2/5 - 318*c/5 = 0.
-1, 0, 159
Determine v, given that 5*v**3 + 3030*v**2 + 6040*v = 0.
-604, -2, 0
Let 20*k**4/3 + 47*k**3/3 - 52*k**2/3 - 11*k + 6 = 0. Calculate k.
-3, -3/4, 2/5, 1
Solve 15*s**4 + 54*s**3 + 51*s**2 - 12 = 0 for s.
-2, -1, 2/5
Factor 4*z**2 + 6560*z - 6564.
4*(z - 1)*(z + 1641)
Solve 2*d**4/3 - 724*d**3/3 - 728*d**2 - 2188*d/3 - 730/3 = 0 for d.
-1, 365
Solve 2*b**3/5 + 96*b**2/5 - 864*b/5 + 1792/5 = 0 for b.
-56, 4
Solve b**5 - 17*b**4 + 45*b**3 + 113*b**2 - 262*b - 312 = 0 for b.
-2, -1, 3, 4, 13
Let -2*k**3/3 - 70*k**2/3 + 146*k/3 - 74/3 = 0. What is k?
-37, 1
Factor 2*c**3 + 138*c**2 + 2296*c.
2*c*(c + 28)*(c + 41)
Solve 5*d**5 - 250*d**4 + 2865*d**3 + 6500*d**2 + 3380*d = 0 for d.
-1, 0, 26
Find d, given that 2*d**5/7 - 38*d**4/7 + 230*d**3/7 - 450*d**2/7 = 0.
0, 5, 9
Factor r**2 + 80*r - 81.
(r - 1)*(r + 81)
Determine o so that -3*o**5 + 3*o**4 + 12*o**3 - 12*o**2 = 0.
-2, 0, 1, 2
Find h such that h**4/7 + 4*h**3/7 - 9*h**2/7 - 16*h/7 + 20/7 = 0.
-5, -2, 1, 2
Factor 3*y**5 - 117*y**4 + 630*y**3 - 1218*y**2 + 999*y - 297.
3*(y - 33)*(y - 3)*(y - 1)**3
What is l in -4*l**5/9 + 17*l**4/3 - 49*l**3/3 + 104*l**2/9 + 4*l = 0?
-1/4, 0, 2, 9
Suppose -2*d**3/13 - 12*d**2/13 + 30*d/13 - 16/13 = 0. Calculate d.
-8, 1
Solve 3*j**2 + 11412*j = 0 for j.
-3804, 0
Let 3*z**2/4 - 3*z = 0. What is z?
0, 4
Find x, given that -x**5 + 2*x**4 = 0.
0, 2
Suppose -3*x**5 + 75*x**4 + 738*x**3 + 1782*x**2 + 81*x - 2673 = 0. What is x?
-3, 1, 33
Factor -5*b**2 + 135*b - 360.
-5*(b - 24)*(b - 3)
Factor -4*i**5 + 4*i**4 + 8*i**3 - 8*i**2 - 4*i + 4.
-4*(i - 1)**3*(i + 1)**2
Factor 2*j**3 + 164*j**2 + 3192*j - 7056.
2*(j - 2)*(j + 42)**2
Solve 5*y**4/3 - 35*y**3/3 + 5*y**2/3 + 45*y + 30 = 0 for y.
-1, 3, 6
Factor -2*z**5/5 + 12*z**3/5 - 16*z**2/5 + 6*z/5.
-2*z*(z - 1)**3*(z + 3)/5
Find h such that 3*h**2 - 431*h - 144 = 0.
-1/3, 144
Factor -15*n**5/4 - 9*n**4 - 3*n**3.
-3*n**3*(n + 2)*(5*n + 2)/4
Factor -f**2/11 - 14*f/11 - 3.
-(f + 3)*(f + 11)/11
Suppose -2*p**3 - 6*p**2 + 32*p - 24 = 0. What is p?
-6, 1, 2
Let -2*q**5/3 - 28*q**4/3 - 20*q**3 + 80*q**2/3 + 142*q/3 - 44 = 0. What is q?
-11, -3, -2, 1
Factor -4*m**4/5 + 616*m**3/5 - 31824*m**2/5 + 561816*m/5 - 530604/5.
-4*(m - 51)**3*(m - 1)/5
Suppose y**5 + 28*y**4 - 30*y**3 - 28*y**2 + 29*y = 0. What is y?
-29, -1, 0, 1
Solve -3*x**5 + 69*x**4/2 - 138*x**3 + 210*x**2 - 48*x - 96 = 0 for x.
-1/2, 2, 4
Let -35*s**5/2 + 139*s**4/4 - 45*s**3/2 + 23*s**2/4 - s/2 = 0. Calculate s.
0, 1/5, 2/7, 1/2, 1
Suppose 3*i**5 - 36*i**4 + 90*i**3 - 84*i**2 + 27*i = 0. Calculate i.
0, 1, 9
Determine n so that n**2 - 222*n + 221 = 0.
1, 221
Solve 11*i**4/5 - i**3/5 = 0 for i.
0, 1/11
Solve -16*g**4 - 34*g**3 - 4*g**2 = 0.
-2, -1/8, 0
Solve 111*p**3 - 2333*p**2 - 2400*p + 44 = 0 for p.
-1, 2/111, 22
Solve -2*n**5 - 8*n**4 + 14*n**3 + 44*n**2 - 48*n = 0.
-4, -3, 0, 1, 2
Solve n**2/4 + 522*n + 272484 = 0 for n.
-1044
Factor -4*g**4 + 12*g**2 + 8*g.
-4*g*(g - 2)*(g + 1)**2
Let -10*r**3 - 104*r**2 - 234*r + 180 = 0. What is r?
-6, -5, 3/5
Solve -2*t**2/7 + 312*t/7 - 12168/7 = 0 for t.
78
Factor 5*o**2 + 2385*o.
5*o*(o + 477)
Factor -3*x**3 + 510*x**2 - 20064*x - 139392.
-3*(x - 88)**2*(x + 6)
Factor 21*v**4 + 36*v**3 + 15*v**2.
3*v**2*(v + 1)*(7*v + 5)
Find b, given that 6724*b**5 + 34276*b**4 - 3428*b**3 - 34196*b**2 - 3296*b - 80 = 0.
-5, -1, -2/41, 1
Factor -y**2/5 + 219*y/5 - 218/5.
-(y - 218)*(y - 1)/5
Let -49*i**3/5 + 525*i**2 - 1488*i/5 + 212/5 = 0. What is i?
2/7, 53
Determine k, given that 2*k**3/3 + 4*k**2 + 2*k - 20/3 = 0.
-5, -2, 1
Determine r so that 10*r**5 + 55*r**4 - 310*r**3 + 80*r**2 + 300*r - 135 = 0.
-9, -1, 1/2, 1, 3
Find i, given that 2*i**3/5 + 108*i**2/5 + 62*i + 204/5 = 0.
-51, -2, -1
Determine l so that -2*l**3/11 + 128*l**2/11 + 536*l/11 + 544/11 = 0.
-2, 68
Factor 2*j**4/5 - 8*j**3/5 + 2*j**2/5 + 12*j/5.
2*j*(j - 3)*(j - 2)*(j + 1)/5
Let -t**4 + 12*t**3/7 + 25*t**2/7 + 6*t/7 = 0. What is t?
-1, -2/7, 0, 3
Let -2*h**3/3 + 34*h**2/3 - 50*h + 66 = 0. Calculate h.
3, 11
Solve z**3/6 + 43*z**2/6 + 67*z/6 - 205/2 = 0.
-41, -5, 3
Determine a so that -20*a**3 + 128*a**2 - 48*a = 0.
0, 2/5, 6
Factor w**4/5 - 11*w**3/5 + 32*w**2/5 - 28*w/5.
w*(w - 7)*(w - 2)**2/5
Determine b, given that -5*b**2 + 15*b - 10 = 0.
1, 2
What is k in -9380*k**5 - 20*k**4 + 7035*k**3 - 2330*k**2 - 5*k = 0?
-1, -1/469, 0, 1/2
Factor -6*n**3/7 - 78*n**2/7 + 1230*n/7 - 3450/7.
-6*(n - 5)**2*(n + 23)/7
Factor -3*l**2 + 957*l - 5634.
-3*(l - 313)*(l - 6)
Determine j so that -j**2/2 - 7*j - 12 = 0.
-12, -2
Determine c so that -4*c**3 + 5088*c**2 + 10188*c + 5096 = 0.
-1, 1274
Factor -4*q**2 - 16*q + 20.
-4*(q - 1)*(q + 5)
Factor -4*n**3/5 + 20*n**2 + 228*n/5 - 324/5.
-4*(n - 27)*(n - 1)*(n + 3)/5
Factor 4*o**2 + 580*o + 2256.
4*(o + 4)*(o + 141)
Factor 2*k**5/9 - 4*k**3/3 - 16*k**2/9 - 2*k/3.
2*k*(k - 3)*(k + 1)**3/9
Suppose 10*g**4 + 14*g**3 - 78*g**2/5 - 38*g/5 - 4/5 = 0. What is g?
-2, -1/5, 1
Let -a**2/7 - 4392*a/7 - 4822416/7 = 0. Calculate a.
-2196
What is s in 4*s**3 - 300*s**2 + 5772*s - 5476 = 0?
1, 37
Find b, given that b**5/3 + 23*b**4/3 - 53*b**3/3 - 25*b**2 = 0.
-25, -1, 0, 3
Factor 3*s**4 - 1269*s**3 - 5109*s**2 - 6399*s - 2562.
3*(s - 427)*(s + 1)**2*(s + 2)
Suppose 2*p**2/3 + 650*p = 0. Calculate p.
-975, 0
Factor 101*i**2/9 - 68*i/3 + 4/9.
(i - 2)*(101*i - 2)/9
Solve 4*w**2 - 64 = 0 for w.
-4, 4
Suppose -k**2/4 - 63*k/2 - 3969/4 = 0. What is k?
-63
Let 404*a**5 - 2836*a**4 + 3692*a**3 + 10836*a**2 - 22032*a + 432 = 0. What is a?
-2, 2/101, 3
Find d, given that d**2/5 - 61*d/5 - 66 = 0.
-5, 66
Factor -y**3 - 57*y**2 + y + 57.
-(y - 1)*(y + 1)*(y + 57)
Suppose -4*h**2 + 36*h = 0. What is h?
0, 9
Let b**2/6 + 4735*b/3 + 22420225/6 = 0. What is b?
-4735
Factor -2*y**3/15 - 12*y**2/5 + 2*y/15 + 12/5.
-2*(y - 1)*(y + 1)*(y + 18)/15
Solve -14*m**4/5 - 234*m**3/5 + 586*m**2/5 - 414*m/5 + 76/5 = 0.
-19, 2/7, 1
Factor -2*k**5/3 - 760*k**4/3 - 96770*k**3/3 - 1397340*k**2 - 2698920*k - 1333584.
-2*(k + 1)**2*(k + 126)**3/3
Solve -2*k**5 + 2*k**4 + 2*k**3 - 2*k**2 = 0.
-1, 0, 1
Solve 5*d**5 - 10*d**4 - 10*d**3 + 20*d**2 + 5*d - 10 = 0 for d.
-1, 1, 2
Factor 7*z**3/11 + 65*z**2/11 + 144*z/11 + 36/11.
(z + 3)*(z + 6)*(7*z + 2)/11
Factor -2*i**5 - 34*i**4 - 32*i**3.
-2*i**3*(i + 1)*(i + 16)
Factor 5*x**4/4 + 25*x**3 + 585*x**2/4 + 405*x/2.
5*x*(x + 2)*(x + 9)**2/4
Determine m, given that 86*m**3/7 - 1028*m**2/7 + 3048*m/7 + 144/7 = 0.
-2/43, 6
What is b in 2*b**4 - 78*b**3/5 + 94*b**2/5 + 222*b/5 + 8 = 0?
-1, -1/5, 4, 5
Factor 5*x**2 + 1780*x + 158420.
5*(x + 178)**2
