s, given that -2*s**5 + 22*s**4 - 92*s**3 + 184*s**2 - 176*s + 64 = 0.
1, 2, 4
Factor -2*c**2/11 + 1764*c/11 - 1762/11.
-2*(c - 881)*(c - 1)/11
Let 2*w**2/11 + 580*w/11 + 42050/11 = 0. Calculate w.
-145
Factor 3*z**2/2 - 147/2.
3*(z - 7)*(z + 7)/2
Factor -2*l**3/3 - 16*l**2/3 - 8*l.
-2*l*(l + 2)*(l + 6)/3
Solve b**4/3 - b**3/3 - 4*b**2/3 + 4*b/3 = 0.
-2, 0, 1, 2
Factor -4*p**3/9 - 404*p**2/9 + 4*p/9 + 404/9.
-4*(p - 1)*(p + 1)*(p + 101)/9
What is s in 2*s**4/5 + 54*s**3 - 276*s**2/5 - 544*s/5 = 0?
-136, -1, 0, 2
Suppose 3*d**3/7 + 72*d**2/7 + 351*d/7 - 1014/7 = 0. Calculate d.
-13, 2
Suppose -2*i**3 + 46*i**2 - 120*i = 0. Calculate i.
0, 3, 20
Factor 2*y**2 - 3588*y + 1609218.
2*(y - 897)**2
What is o in 3*o**4 - 60*o**3 - 2289*o**2 - 4386*o - 2160 = 0?
-18, -1, 40
Factor -5*t**4 - 25*t**3 + 110*t**2 - 80*t.
-5*t*(t - 2)*(t - 1)*(t + 8)
Solve -2*w**2/19 + 18448*w/19 + 18450/19 = 0 for w.
-1, 9225
Factor -i**5/2 - 7*i**4/2 + 1035*i**3/2 + 22275*i**2/2 + 64125*i.
-i*(i - 38)*(i + 15)**3/2
Find q such that 8*q**3 - 5*q**2 - 42*q = 0.
-2, 0, 21/8
Let -4*f**4 + 148*f**3 - 1292*f**2 - 1444*f = 0. Calculate f.
-1, 0, 19
Solve -195*t**2 - 4880*t - 125 = 0.
-25, -1/39
Factor c**2/6 + 55*c/6 + 287/3.
(c + 14)*(c + 41)/6
Suppose 2*y**2/9 - 6*y + 52/9 = 0. Calculate y.
1, 26
Factor 2*x**3 + 2*x**2 - 66*x + 126.
2*(x - 3)**2*(x + 7)
Factor 1331*t**4 + 1054757*t**3 - 575586*t**2 + 104668*t - 6344.
(t + 793)*(11*t - 2)**3
Solve -15*p**5 - 10*p**4 + 20*p**3 + 10*p**2 - 5*p = 0.
-1, 0, 1/3, 1
Find r, given that 5*r**2 - 715*r - 1450 = 0.
-2, 145
Determine p, given that -p**4/7 + 15*p**3/7 - 12*p**2 + 208*p/7 - 192/7 = 0.
3, 4
Factor 2*f**2/9 - 76*f/9 + 434/9.
2*(f - 31)*(f - 7)/9
Factor 2*h**3/15 - 18*h**2/5 - 56*h/15.
2*h*(h - 28)*(h + 1)/15
Factor 15*j**2 + 185*j + 60.
5*(j + 12)*(3*j + 1)
Find j, given that -23*j**5/2 - 21*j**4 + 4*j**3 + 23*j**2 + 15*j/2 - 2 = 0.
-1, 4/23, 1
Determine x, given that 4*x**2/3 - 4*x = 0.
0, 3
Factor -v**2/8 - 25*v/2 - 625/2.
-(v + 50)**2/8
Find j such that -3*j**2/7 + 48*j - 660/7 = 0.
2, 110
Suppose 4*o**4 + 44*o**3 = 0. What is o?
-11, 0
Determine o so that o**4 - 2*o**3 - 15*o**2 + 32*o - 16 = 0.
-4, 1, 4
What is g in 3*g**2 - 2634*g = 0?
0, 878
Suppose 162*p**2 + 1440*p + 3200 = 0. Calculate p.
-40/9
Let y**5 - 11*y**4/3 - 41*y**3/3 - 13*y**2/3 + 38*y/3 + 8 = 0. Calculate y.
-4/3, -1, 1, 6
Factor 2*y**3 + 82*y**2 + 880*y + 800.
2*(y + 1)*(y + 20)**2
Factor -3*p**3 - 12*p**2 + 3*p + 12.
-3*(p - 1)*(p + 1)*(p + 4)
Determine v so that -3*v**2 + 69*v - 66 = 0.
1, 22
Determine t, given that -4*t**2 - 1344*t - 112896 = 0.
-168
Let t**3 - t**2 - 22*t + 40 = 0. Calculate t.
-5, 2, 4
What is v in 2*v**5 + 4*v**4 - 8*v**3 - 4*v**2 + 6*v = 0?
-3, -1, 0, 1
Solve 7*q**2/4 + q - 3/4 = 0.
-1, 3/7
Let g**3 + 416*g**2 + 415*g = 0. Calculate g.
-415, -1, 0
Factor 5*w**2 - 8690*w + 3775805.
5*(w - 869)**2
Factor -4*y**3/5 - 898*y**2/5 - 50624*y/5 - 25088/5.
-2*(y + 112)**2*(2*y + 1)/5
Factor -4*d**2 + 576*d - 20736.
-4*(d - 72)**2
Determine l so that l**5 - 25*l**4 - 6*l**3 + 158*l**2 - 203*l + 75 = 0.
-3, 1, 25
Solve 4*x**5 - 52*x**4 + 156*x**3 - 108*x**2 = 0.
0, 1, 3, 9
Factor 27*u**3 + 21*u**2 - 6*u.
3*u*(u + 1)*(9*u - 2)
Solve -2*b**3 + 12*b**2 + 102*b + 88 = 0.
-4, -1, 11
Solve 2*k**3/11 + 2522*k**2/11 - 15186*k/11 + 22806/11 = 0.
-1267, 3
Factor r**3/5 - 9*r**2/5 + 24*r/5 - 16/5.
(r - 4)**2*(r - 1)/5
Factor 3*w**4/8 + 3*w**3/2 - 21*w**2/8 - 15*w/4.
3*w*(w - 2)*(w + 1)*(w + 5)/8
Let 3*q**5/7 + 6*q**4 + 12*q**3 - 822*q**2/7 - 321*q + 420 = 0. Calculate q.
-7, -5, 1, 4
Factor -5*x**2 + 340*x - 660.
-5*(x - 66)*(x - 2)
Factor -3*q**4/4 + 21*q**3/4 - 21*q**2/2 + 6*q.
-3*q*(q - 4)*(q - 2)*(q - 1)/4
Solve 10*o**5 - 95*o**4 + 310*o**3 - 360*o**2 + 135 = 0.
-1/2, 1, 3
Determine z, given that 5*z**2 + 2240*z + 250880 = 0.
-224
Factor o**2/8 + 25*o/4 - 51/8.
(o - 1)*(o + 51)/8
Determine r, given that 2*r**2/11 - 42*r/11 - 92/11 = 0.
-2, 23
Factor 4*w**2 + 504*w.
4*w*(w + 126)
Factor 3*t**2 + 357*t + 354.
3*(t + 1)*(t + 118)
Let 3*j**2/8 + 2463*j/2 + 2022123/2 = 0. What is j?
-1642
Determine q so that 3*q**2/8 - 21*q/8 - 27/4 = 0.
-2, 9
Determine a so that 5*a**3 + 75*a**2 = 0.
-15, 0
Let 5*y**2 - 115*y + 300 = 0. Calculate y.
3, 20
Factor 2*q**2 - 318*q - 1980.
2*(q - 165)*(q + 6)
Factor s**4/4 + s**3/2 - s**2 - s/2 + 3/4.
(s - 1)**2*(s + 1)*(s + 3)/4
Factor l**3/6 + 7*l**2/6 - 3*l.
l*(l - 2)*(l + 9)/6
Let h**2 - 44*h + 123 = 0. What is h?
3, 41
Let 627*m**4/7 + 5637*m**3/7 + 16875*m**2/7 + 16767*m/7 - 162/7 = 0. Calculate m.
-3, 2/209
Let 4*f**4/7 - 408*f**3/7 + 13872*f**2/7 - 157216*f/7 = 0. What is f?
0, 34
Determine g, given that -150*g**4 - 105*g**3 + 306*g**2 - 156*g + 24 = 0.
-2, 2/5, 1/2
Factor -3*g**2/5 + 100*g + 167/5.
-(g - 167)*(3*g + 1)/5
Solve -10*j**3 - 1036*j**2 + 416*j = 0.
-104, 0, 2/5
Factor 3*r**5 - 22*r**4 + 23*r**3 + 8*r**2 - 12*r.
r*(r - 6)*(r - 1)**2*(3*r + 2)
Factor 4*f**5 - 100*f**4 + 760*f**3 - 1720*f**2 + 1540*f - 484.
4*(f - 11)**2*(f - 1)**3
Solve -2*l**3/9 + 8*l = 0 for l.
-6, 0, 6
Solve 3*t**3 - 111*t**2 + 210*t = 0 for t.
0, 2, 35
Factor -g**2/5 + 12*g - 884/5.
-(g - 34)*(g - 26)/5
Factor 2*d**2/5 + 48*d/5 - 162/5.
2*(d - 3)*(d + 27)/5
Suppose 39*c**5 - 231*c**4 - 327*c**3 + 195*c**2 + 252*c = 0. Calculate c.
-1, 0, 12/13, 7
Factor -3*f**2 + 4662*f - 1811187.
-3*(f - 777)**2
Find y such that 2*y**4/5 - 18*y**2/5 + 8*y/5 + 24/5 = 0.
-3, -1, 2
Factor -4*v**5 + 24*v**4 + 60*v**3 + 32*v**2.
-4*v**2*(v - 8)*(v + 1)**2
Factor -g**3 - 114*g**2 - 4332*g - 54872.
-(g + 38)**3
What is j in 9*j**2/7 - 24*j/7 + 12/7 = 0?
2/3, 2
Let -3*u**2/7 + 3186*u/7 + 3189/7 = 0. Calculate u.
-1, 1063
Suppose -2*x**4/15 + 4*x**3/3 + 56*x**2/5 + 368*x/15 + 256/15 = 0. What is x?
-2, 16
Factor r**3/2 + 12*r**2 + 119*r/2 - 72.
(r - 1)*(r + 9)*(r + 16)/2
Factor -2*i**5/3 + i**4/3 + i**3/3.
-i**3*(i - 1)*(2*i + 1)/3
Factor 4*m**2 - 480*m + 14400.
4*(m - 60)**2
Factor -2*k**3 + 12*k**2 + 2*k - 12.
-2*(k - 6)*(k - 1)*(k + 1)
Find j, given that -2*j**2/7 - 16*j + 114/7 = 0.
-57, 1
Factor -i**3/5 + 324*i**2/5 + i/5 - 324/5.
-(i - 324)*(i - 1)*(i + 1)/5
Let 3*y**3 + 21*y**2 + 30*y = 0. What is y?
-5, -2, 0
Factor 3*n**3/2 - 9*n**2/4 - 81*n/4 + 21.
3*(n - 4)*(n - 1)*(2*n + 7)/4
Factor x**3/2 + 17*x**2 + 33*x/2.
x*(x + 1)*(x + 33)/2
Let -3*h**4/5 + 42*h**3/5 - 27*h**2 - 168*h/5 + 588/5 = 0. Calculate h.
-2, 2, 7
Find a such that 32*a**3/19 - 80*a**2/19 + 50*a/19 = 0.
0, 5/4
Suppose -i**4 + 17*i**3/5 + 74*i**2/5 + 28*i/5 - 24/5 = 0. What is i?
-2, -1, 2/5, 6
Determine d, given that -3*d**4/2 + 14*d**3 - 8*d**2 - 120*d - 72 = 0.
-2, -2/3, 6
Solve 2*i**2/3 + 16*i/3 = 0.
-8, 0
Solve -3*a**2/7 + 99*a/7 + 30 = 0.
-2, 35
Factor g**4/2 - 179*g**2/2 + 567*g - 784.
(g - 7)**2*(g - 2)*(g + 16)/2
Let -3*m**5 + 18*m**4 + 21*m**3 = 0. Calculate m.
-1, 0, 7
Factor -z**5/2 + 30*z**4 - 705*z**3/2 - 2875*z**2 - 6270*z - 4356.
-(z - 33)**2*(z + 2)**3/2
Factor -x**2/3 - 10*x - 29/3.
-(x + 1)*(x + 29)/3
Factor 15*l**4 - 486*l**3 - 303*l**2 + 198*l.
3*l*(l - 33)*(l + 1)*(5*l - 2)
Factor 5*s**3/2 - 21*s**2 - 29*s/2 + 9.
(s - 9)*(s + 1)*(5*s - 2)/2
Solve -j**2/2 - 118*j - 6962 = 0 for j.
-118
Factor 84*w**2 + 250*w - 6.
2*(w + 3)*(42*w - 1)
Factor 4*z**2 - 16*z - 20.
4*(z - 5)*(z + 1)
Factor -4*s**2/5 - 16*s + 276/5.
-4*(s - 3)*(s + 23)/5
Factor -4*i**2/5 - 22*i + 174/5.
-2*(i + 29)*(2*i - 3)/5
What is x in 4*x**4/5 + 12*x**3/5 - 36*x**2 + 308*x/5 - 144/5 = 0?
-9, 1, 4
Factor o**5/9 - 254*o**4/9 + 5291*o**3/3 + 32512*o**2/9 + 16384*o/9.
o*(o - 128)**2*(o + 1)**2/9
Solve y**3 + 676*y**2 - 2716*y + 2720 = 0 for y.
-680, 2
Factor 117*z**2/2 + 7953*z/4 - 51/2.
3*(z + 34)*(78*z - 1)/4
Factor 15*p**2 - 57*p - 12.
3*(p - 4)*(5*p + 1)
Solve 75*l**3/4 + 60*l**2 + 39*l/4 - 9/2 = 0 for l.
-3, -2/5, 1/5
Solve a**5/5 - 8*a**4/5 + 13*a**3/5 + 26*a**2/5 - 64*a/5 + 32/5 = 0 for a.
-2, 1, 4
Factor -6*x**2/11 + 64*x/11 - 90/11.
-2*(x - 9)*(3*x - 5)/11
Suppose -j**2/3 - 12*j + 76/3 = 0. What is j?
-38, 2
Let a**5/7 + 10*a**4/7 - a**3/7 - 10*a**2/7 = 0. Calculate a.
-10, -1, 0, 1
What is d in 4*d**4 - 8*d**3 - 52*d**2 + 152*d - 96 = 0?
-4, 1, 2, 3
Factor 3*k**5 - 231*k**4 + 4089*k**3 + 13683*k**2 + 14160*k + 4800.
3*(k - 40)**2*(k + 1)**3
Factor -2*t**2/7 + 4952*t/7 - 9896/7.
-2*(t - 2474