2*w**3/7 - 2*w**2 - 24*w/7.
-2*w*(w + 3)*(w + 4)/7
Factor 5*d**2 - 1810*d + 163805.
5*(d - 181)**2
Determine z, given that -2*z**5 + z**4 + z**3 = 0.
-1/2, 0, 1
Factor -5*d**5 + 60*d**4 - 225*d**3 + 250*d**2.
-5*d**2*(d - 5)**2*(d - 2)
Solve -2*z**3 - 340*z**2 - 1336*z - 1328 = 0 for z.
-166, -2
Find i, given that 4*i**3/7 - 2932*i**2/7 + 538752*i/7 - 535824/7 = 0.
1, 366
Factor -2*l**4 + 6*l**3 - 2*l**2 - 6*l + 4.
-2*(l - 2)*(l - 1)**2*(l + 1)
Factor -3*i**2/7 - 93*i/7 - 594/7.
-3*(i + 9)*(i + 22)/7
Solve g**4/5 - g**3 - 3*g**2 + g + 14/5 = 0.
-2, -1, 1, 7
Solve -5*p**2 - 485*p - 480 = 0 for p.
-96, -1
Let 2*p**3 - 60*p**2 - 2*p + 60 = 0. What is p?
-1, 1, 30
Factor y**3/4 + 45*y**2/4 - y/4 - 45/4.
(y - 1)*(y + 1)*(y + 45)/4
Let v**5/3 - v**4/3 - 8*v**3 - 12*v**2 = 0. Calculate v.
-3, -2, 0, 6
Factor 4*y**2/3 + 52*y - 328/3.
4*(y - 2)*(y + 41)/3
Determine g, given that -g**4 + 42*g**2 + 64*g - 105 = 0.
-5, -3, 1, 7
Find m such that 4*m**3 + 28*m**2 - 112*m + 80 = 0.
-10, 1, 2
Factor -2*t**2/11 + 4*t/11 - 2/11.
-2*(t - 1)**2/11
What is v in -v**5 + 6*v**3 - 8*v**2 + 3*v = 0?
-3, 0, 1
Let t**2 + 102*t - 315 = 0. What is t?
-105, 3
Suppose -2*k**4 + 46*k**3 - 124*k**2 - 1624*k - 2352 = 0. Calculate k.
-3, -2, 14
Suppose j**5/7 - j**4/7 - 2*j**3 + 24*j**2/7 = 0. Calculate j.
-4, 0, 2, 3
Factor 9*r**2 - 6*r.
3*r*(3*r - 2)
Solve 45*o**3 + 393*o**2/7 - 12*o/7 - 36/7 = 0 for o.
-6/5, -1/3, 2/7
Suppose -4*d**2/7 - 16*d/7 = 0. Calculate d.
-4, 0
What is g in 2*g**4/15 + 4*g**3/15 - 22*g**2/15 - 8*g/5 = 0?
-4, -1, 0, 3
Factor -m**2/6 - 37*m/3 - 1369/6.
-(m + 37)**2/6
Factor 3*k**2 - 252*k + 249.
3*(k - 83)*(k - 1)
Factor -4*q**3/3 + 124*q**2 - 2820*q - 8836/3.
-4*(q - 47)**2*(q + 1)/3
Let u**2 - 53*u + 52 = 0. Calculate u.
1, 52
Factor 3*m**2/5 + 7464*m/5 - 2988.
3*(m - 2)*(m + 2490)/5
Factor 15*l**3 + 185*l**2 - 10840*l + 7140.
5*(l - 21)*(l + 34)*(3*l - 2)
Solve 5*i**5 - 730*i**4 + 40320*i**3 - 1010880*i**2 + 10264320*i - 16796160 = 0.
2, 36
Factor -2*c**2/17 - 508*c/17 + 1024/17.
-2*(c - 2)*(c + 256)/17
Let -2*o**2/7 - 96*o/7 - 1144/7 = 0. What is o?
-26, -22
Factor -5*a**3 + 185*a**2 - 1615*a - 1805.
-5*(a - 19)**2*(a + 1)
Determine y so that -576*y**3 + 1056*y**2 + 1820*y + 588 = 0.
-7/12, 3
What is v in -v**3/3 + 181*v**2/3 + 122*v = 0?
-2, 0, 183
Factor z**3/2 + 4777*z**2 + 11405086*z - 22829284.
(z - 2)*(z + 4778)**2/2
Determine c so that -20*c**3 + 8448*c**2 - 893796*c + 356168 = 0.
2/5, 211
Factor j**3 - 14*j**2 - 32*j.
j*(j - 16)*(j + 2)
Let -t**5/7 + 2327*t**4/7 - 2030016*t**3/7 + 786517128*t**2/7 - 113945398704*t/7 - 114733948176/7 = 0. Calculate t.
-1, 582
Factor -2*x**3 - 70*x**2 - 576*x + 648.
-2*(x - 1)*(x + 18)**2
Find y, given that -y**3/4 + 19*y**2/2 - 197*y/4 + 40 = 0.
1, 5, 32
Suppose 6*q**4 - 177*q**3/2 + 99*q**2/2 + 186*q + 42 = 0. Calculate q.
-1, -1/4, 2, 14
Factor f**3/3 - 350*f**2 + 122500*f - 42875000/3.
(f - 350)**3/3
Factor -3*j**3 - 255*j**2 - 5544*j - 5292.
-3*(j + 1)*(j + 42)**2
Let 3*g**2 - 163*g + 54 = 0. Calculate g.
1/3, 54
Factor -3*l**3 - 33*l**2 + 360*l - 324.
-3*(l - 6)*(l - 1)*(l + 18)
Find x, given that -2*x**5/3 + 26*x**4 + 380*x**3/3 - 1588*x**2/3 + 578*x - 602/3 = 0.
-7, 1, 43
Factor 2*o**5/11 + 12*o**4/11 + 28*o**3/11 + 32*o**2/11 + 18*o/11 + 4/11.
2*(o + 1)**4*(o + 2)/11
Factor 2*c**4 - 140*c**3 + 2832*c**2 - 13312*c + 16384.
2*(c - 32)**2*(c - 4)*(c - 2)
Factor 4*o**2 - 132*o.
4*o*(o - 33)
Factor -2*p**2 + 38*p.
-2*p*(p - 19)
Suppose -224*b**2/3 + 212*b/3 + 4 = 0. Calculate b.
-3/56, 1
Factor 4*q**4 - 14*q**3 + 4*q**2 + 6*q.
2*q*(q - 3)*(q - 1)*(2*q + 1)
Factor -5*x**4 - 65*x**3 + 70*x**2.
-5*x**2*(x - 1)*(x + 14)
Factor -8*g**3 + 300*g**2 + 156*g - 152.
-4*(g - 38)*(g + 1)*(2*g - 1)
Determine i so that -3*i**5/4 - 3*i**4/4 + 9*i**3/4 + 3*i**2/4 - 3*i/2 = 0.
-2, -1, 0, 1
Suppose -2*h**3/11 - 4206*h**2/11 + 4208*h/11 = 0. What is h?
-2104, 0, 1
Let -3*v**3/8 + 33*v**2/8 + 63*v/4 = 0. What is v?
-3, 0, 14
Suppose 2*g**4/3 - 8*g**3/3 - 14*g**2/3 + 20*g/3 = 0. Calculate g.
-2, 0, 1, 5
Suppose -4*v**3 - 37*v**2 + 31*v + 10 = 0. Calculate v.
-10, -1/4, 1
Factor -4*d**4 + 304*d**3 - 4792*d**2 - 37392*d - 60516.
-4*(d - 41)**2*(d + 3)**2
Solve 15*c**3 - 81*c**2 + 90*c - 24 = 0.
2/5, 1, 4
Factor 3*f**2 + 66*f + 171.
3*(f + 3)*(f + 19)
Factor -2*d**4 + 78*d**3 - 588*d**2 + 1480*d - 1200.
-2*(d - 30)*(d - 5)*(d - 2)**2
Find o such that -4*o**2 - 2648*o + 7980 = 0.
-665, 3
Factor 2*f**4/7 + 3462*f**3/7 - 10398*f**2/7 + 1486*f - 3468/7.
2*(f - 1)**3*(f + 1734)/7
Factor -2*g**2/5 + 1284*g/5 - 206082/5.
-2*(g - 321)**2/5
Determine k, given that 4*k**5 - 24*k**4/5 - 56*k**3/5 + 32*k**2/5 + 36*k/5 - 8/5 = 0.
-1, 1/5, 1, 2
Find p such that 4*p**3/3 + 20*p**2/3 - 16*p/3 - 80/3 = 0.
-5, -2, 2
Factor -4*v**3 + 852*v**2 + 3460*v + 2604.
-4*(v - 217)*(v + 1)*(v + 3)
Suppose -2*c**5 - 8*c**4 + 12*c**3 + 8*c**2 - 10*c = 0. What is c?
-5, -1, 0, 1
Factor k**4 - 18*k**3 - k**2 + 18*k.
k*(k - 18)*(k - 1)*(k + 1)
What is d in -3*d**4 + 18*d**3 - 33*d**2 + 18*d = 0?
0, 1, 2, 3
Factor f**2 - 238*f + 14161.
(f - 119)**2
Factor 4*v**3 - 2772*v**2 + 481632*v - 478864.
4*(v - 346)**2*(v - 1)
Factor -p**5 - 2*p**4 + 20*p**3 + 66*p**2 + 45*p.
-p*(p - 5)*(p + 1)*(p + 3)**2
Solve 20*t**4 - 32*t**3 + 4*t**2 + 8*t = 0 for t.
-2/5, 0, 1
Find x such that 338*x**3 + 2262*x**2 - 720*x + 56 = 0.
-7, 2/13
Find y such that 4*y**4/9 - 20*y**3/3 + 196*y**2/9 - 76*y/3 + 88/9 = 0.
1, 2, 11
Factor -4*d**4 + 160*d**3 - 2008*d**2 + 8160*d - 10404.
-4*(d - 17)**2*(d - 3)**2
Determine p, given that 25*p**5 - 115*p**4 + 120*p**3 + 100*p**2 - 160*p = 0.
-1, 0, 8/5, 2
Determine q so that 2*q**2/3 + 8*q/3 + 8/3 = 0.
-2
Let 6*b**3 + 748*b**2/5 - 166*b + 52/5 = 0. What is b?
-26, 1/15, 1
Let 5*x**3 - 230*x**2 - 235*x = 0. Calculate x.
-1, 0, 47
Find c, given that c**4/5 - c**3/5 - 2*c**2/5 = 0.
-1, 0, 2
Factor 2*v**3 - 1886*v**2 + 445566*v - 443682.
2*(v - 471)**2*(v - 1)
What is v in -15*v**4 - 411*v**3 + 1617*v**2 - 1749*v + 558 = 0?
-31, 3/5, 1, 2
Suppose 3*f**4/2 - 6*f**3 + 29*f**2/6 + 7*f/3 - 8/3 = 0. What is f?
-2/3, 1, 8/3
Determine a so that -15*a**4 - 115*a**3 - 260*a**2 - 140*a + 80 = 0.
-4, -2, 1/3
Factor 3*z**3/7 - 36*z**2/7 + 123*z/7 - 90/7.
3*(z - 6)*(z - 5)*(z - 1)/7
Factor 3*m**3 + 108*m**2 + 1071*m + 1734.
3*(m + 2)*(m + 17)**2
Factor -2*g**5/13 - 212*g**4/13 - 6026*g**3/13 - 21624*g**2/13 - 20808*g/13.
-2*g*(g + 2)**2*(g + 51)**2/13
Factor p**3/2 + 4*p**2 + 17*p/2 + 5.
(p + 1)*(p + 2)*(p + 5)/2
Factor 3*a**4/7 - 36*a**3/7.
3*a**3*(a - 12)/7
Find k, given that -2*k**5 - 34*k**4 - 30*k**3 + 34*k**2 + 32*k = 0.
-16, -1, 0, 1
Find y such that 2*y**2/13 - 34*y/13 - 36/13 = 0.
-1, 18
Factor 2*z**2/9 + 68*z/9 - 70/9.
2*(z - 1)*(z + 35)/9
What is b in 2*b**5 + 426*b**4 + 1684*b**3 + 2516*b**2 + 1674*b + 418 = 0?
-209, -1
Let 2*i**3/3 - 20*i**2/3 - 122*i/3 + 140/3 = 0. Calculate i.
-5, 1, 14
Factor y**3 + 1233*y**2 + 380688*y + 379456.
(y + 1)*(y + 616)**2
Factor -64*o**2 - 160*o - 100.
-4*(4*o + 5)**2
Factor 4*s**2/7 + 60*s/7 + 144/7.
4*(s + 3)*(s + 12)/7
Factor -5*p**2 - 175*p + 370.
-5*(p - 2)*(p + 37)
Factor 2*c**2/11 - 346*c/11 + 344/11.
2*(c - 172)*(c - 1)/11
Find f such that -3*f**3/4 - 63*f**2/4 - 27*f/2 + 30 = 0.
-20, -2, 1
What is d in -2*d**2 - 14*d + 900 = 0?
-25, 18
What is y in 2*y**5/17 + 8*y**4 + 132*y**3/17 - 8*y**2 - 134*y/17 = 0?
-67, -1, 0, 1
Factor 49*a**2/2 + 3290*a + 110450.
(7*a + 470)**2/2
Suppose 5*m**2 + 2420*m - 2425 = 0. What is m?
-485, 1
Determine i, given that -i**2 - 59*i - 450 = 0.
-50, -9
Factor n**2 + 1318*n + 434281.
(n + 659)**2
Factor 4*s**4 + 44*s**3 + 76*s**2 + 36*s.
4*s*(s + 1)**2*(s + 9)
Suppose 5*o**5 - 10*o**4 - 45*o**3 + 10*o**2 + 40*o = 0. Calculate o.
-2, -1, 0, 1, 4
Determine u, given that 4*u**3 + 60*u**2 = 0.
-15, 0
Let 2*f**5 - 12*f**4 + 8*f**3 + 12*f**2 - 10*f = 0. What is f?
-1, 0, 1, 5
Factor -q**3 + 10*q**2 - 17*q - 28.
-(q - 7)*(q - 4)*(q + 1)
Let -33*r**3/8 + 42*r**2 - 15*r/2 = 0. What is r?
0, 2/11, 10
Determine w, given that -2*w**4 - 18*w**3 - 58*w**2 - 78*w - 36 = 0.
-3, -2, -1
Find w such that 4*w**4/7 - 304*w**3/7 - 44*w**2 = 0.
-1, 0, 77
Solve -z**2 - 5*z + 24 = 0.
-8, 3
Determine v so that -2*v**2 - 8*v/3 - 2/3 = 0.
-1, -1/3
Factor -4*w**3 + 4*w**2 + 24*w.
-4*w*(w - 3)*(w + 2)
Factor -2*