804*i/7.
-2*i*(i - 4402)*(i - 1)/7
Factor 6*z**3 + 3009*z**2 + 379500*z + 562500.
3*(z + 250)**2*(2*z + 3)
Solve 14*w**4/5 + 7178*w**3/5 + 191454*w**2 + 9428062*w/5 - 2772044/5 = 0.
-251, -11, 2/7
Find w, given that 2*w**5/5 + 4*w**4 + 66*w**3/5 + 16*w**2 + 32*w/5 = 0.
-4, -1, 0
Solve -3*p**5 + 45*p**4 - 135*p**3 - 285*p**2 + 378*p = 0 for p.
-2, 0, 1, 7, 9
Factor r**3/2 + 22*r**2 - r/2 - 22.
(r - 1)*(r + 1)*(r + 44)/2
Factor -4*k**2 + 776*k + 8160.
-4*(k - 204)*(k + 10)
Find v such that -v**3/3 + 31*v**2 + 63*v + 95/3 = 0.
-1, 95
Factor -3*i**4/7 + 3*i**2 + 18*i/7.
-3*i*(i - 3)*(i + 1)*(i + 2)/7
Factor 3*k**4/2 + k**3/2 - 9*k**2/2 + 3*k/2 + 1.
(k - 1)**2*(k + 2)*(3*k + 1)/2
Factor -3*q**2 + 372*q - 11532.
-3*(q - 62)**2
Find o, given that 3*o**5/4 + 21*o**4/4 + 21*o**3/4 - 57*o**2/4 - 12*o + 15 = 0.
-5, -2, 1
Find u such that -15*u**4 + 5*u**3 + 45*u**2 - 45*u + 10 = 0.
-2, 1/3, 1
Factor -3*l**4/4 + 9*l**2/2 - 6*l + 9/4.
-3*(l - 1)**3*(l + 3)/4
Determine l so that -5*l**2/3 - 120*l - 2160 = 0.
-36
Factor -5*t**3 - 1450*t**2 - 105125*t.
-5*t*(t + 145)**2
Determine g so that -3*g**2 + 18*g - 15 = 0.
1, 5
Suppose 27*y**2 - 272*y + 20 = 0. Calculate y.
2/27, 10
Factor -d**2/7 - 60*d/7 - 900/7.
-(d + 30)**2/7
Solve -s**3 - s**2 = 0.
-1, 0
Find p, given that -2*p**4/5 - 808*p**3/5 - 82412*p**2/5 - 162408*p/5 - 80802/5 = 0.
-201, -1
Determine c, given that 6*c**4/5 - 2*c**3 - 2*c**2/5 + 2*c - 4/5 = 0.
-1, 2/3, 1
Factor -4*t**2/5 - 4*t.
-4*t*(t + 5)/5
Factor -2*q**2/11 - 6*q/11 + 216/11.
-2*(q - 9)*(q + 12)/11
Factor 2*y**3/15 + 94*y**2/15 + 52*y/15 - 368/3.
2*(y - 4)*(y + 5)*(y + 46)/15
Factor -3*l**4/4 + 5*l**3 - 9*l**2 + 4*l.
-l*(l - 4)*(l - 2)*(3*l - 2)/4
Solve 4*v**5/7 - 8*v**4/7 - 4*v**3 + 32*v**2/7 + 48*v/7 = 0.
-2, -1, 0, 2, 3
Let 9*c**5/5 + 498*c**4/5 + 6198*c**3/5 - 18972*c**2/5 + 17313*c/5 - 5046/5 = 0. Calculate c.
-29, 2/3, 1
Factor 4*h**5/5 + 72*h**4/5 - 76*h**3/5.
4*h**3*(h - 1)*(h + 19)/5
Factor -v**2 - 11*v + 102.
-(v - 6)*(v + 17)
Factor -2*b**3/9 + 40*b**2/3 + 254*b/9 - 124/3.
-2*(b - 62)*(b - 1)*(b + 3)/9
Factor -2*q**2/3 - 32*q/3 + 24.
-2*(q - 2)*(q + 18)/3
Factor 2*q**3/11 + 8*q**2/11 - 18*q/11 - 72/11.
2*(q - 3)*(q + 3)*(q + 4)/11
What is t in 2*t**3/5 + 64*t**2/5 + 114*t/5 - 36 = 0?
-30, -3, 1
Let b**2/3 + 40*b/3 + 76/3 = 0. Calculate b.
-38, -2
Factor 2*j**4 - 152*j**3 + 2888*j**2.
2*j**2*(j - 38)**2
Solve i**3 - 360*i**2 + 43200*i - 1728000 = 0.
120
Let -4*t**3/7 - 4*t**2/7 + 48*t/7 = 0. Calculate t.
-4, 0, 3
Let b**2 - 128*b + 4096 = 0. Calculate b.
64
Factor 5*i**2 + 35*i + 30.
5*(i + 1)*(i + 6)
Let 3*i**5 + 21*i**4 + 18*i**3 - 96*i**2 - 96*i = 0. Calculate i.
-4, -1, 0, 2
Solve 4*p**3 + 280*p**2 + 4608*p - 10368 = 0.
-36, 2
What is m in -2*m**3 + 48*m**2 + 470*m - 1116 = 0?
-9, 2, 31
Find l, given that 3*l**3/5 + 117*l**2/5 + 1197*l/5 + 1083/5 = 0.
-19, -1
What is t in t**3 - 41*t**2/3 + 134*t/3 - 24 = 0?
2/3, 4, 9
Factor 4*v**2 - 64*v - 68.
4*(v - 17)*(v + 1)
Factor 2*r**2/13 + 96*r/13 + 270/13.
2*(r + 3)*(r + 45)/13
Factor 2*m**4/5 - 34*m**3/5.
2*m**3*(m - 17)/5
Factor -4*a**3 - 228*a**2 + 232*a.
-4*a*(a - 1)*(a + 58)
Factor -f**2/4 + 5*f/4 + 3/2.
-(f - 6)*(f + 1)/4
Determine o, given that -5*o**5 - 540*o**4 - 5065*o**3 - 16390*o**2 - 21660*o - 9800 = 0.
-98, -5, -2, -1
Determine u, given that u**4 + 9*u**3 + 24*u**2 + 20*u = 0.
-5, -2, 0
Determine w, given that -2*w**3 + 27*w**2 + 15*w - 14 = 0.
-1, 1/2, 14
Solve -3*q**5 + 27*q**4 - 93*q**3 + 153*q**2 - 120*q + 36 = 0.
1, 2, 3
What is w in 2*w**4/7 - 264*w**3/7 + 8710*w**2/7 + 264*w/7 - 8712/7 = 0?
-1, 1, 66
Factor 4*r**5 - 8*r**3 + 4*r.
4*r*(r - 1)**2*(r + 1)**2
Find r such that -r**3/7 - 5*r**2/7 - 6*r/7 = 0.
-3, -2, 0
Factor -2*q**3/7 + 8*q**2 - 256*q/7 - 2048/7.
-2*(q - 16)**2*(q + 4)/7
Factor 5*a**4 + 85*a**3 - 90*a**2.
5*a**2*(a - 1)*(a + 18)
Determine i so that -4*i**2 + 264*i + 268 = 0.
-1, 67
Factor m**5/3 - 5*m**4/3 + m**3 + 3*m**2.
m**2*(m - 3)**2*(m + 1)/3
Factor -a**5 - a**4 + 14*a**3 + 6*a**2 - 45*a + 27.
-(a - 3)*(a - 1)**2*(a + 3)**2
Factor h**3/5 - 33*h**2/5 - 81*h - 215.
(h - 43)*(h + 5)**2/5
Solve 4*c**2 + 1408*c + 123904 = 0.
-176
Factor -2*k**2 - 56*k.
-2*k*(k + 28)
Determine y, given that -100*y**3 - 215*y**2 + 15*y + 90 = 0.
-2, -3/4, 3/5
Suppose 4*l**3 + 244*l**2 + 3465*l - 7938 = 0. Calculate l.
-63/2, 2
Solve 7*x**4 - 278*x**3 + 3651*x**2 - 15496*x - 4732 = 0.
-2/7, 13, 14
Solve -1682*l**2/3 - 232*l/3 - 8/3 = 0.
-2/29
Factor -3*w**3/2 + 861*w**2/2.
-3*w**2*(w - 287)/2
Solve -3*o**3 + 10*o**2 - 9*o + 2 = 0.
1/3, 1, 2
Suppose 5*o**5 + 85*o**4 + 455*o**3 + 715*o**2 - 280*o - 980 = 0. What is o?
-7, -2, 1
Factor 3*j**3 + 69*j**2 - 3039*j - 3105.
3*(j - 23)*(j + 1)*(j + 45)
Determine n, given that n**2/9 + 50*n/9 + 32/3 = 0.
-48, -2
Factor 2*o**3 - 40*o**2 + 200*o.
2*o*(o - 10)**2
Solve 2*j**2 + 16*j + 32 = 0 for j.
-4
Factor 5*z**3 - 50*z**2 - 65*z + 110.
5*(z - 11)*(z - 1)*(z + 2)
Factor l**5 - 10*l**4 + 33*l**3 - 40*l**2 + 16*l.
l*(l - 4)**2*(l - 1)**2
Factor -v**3/4 - 29*v**2/4 - 40*v + 192.
-(v - 3)*(v + 16)**2/4
Solve -2*c**5/5 - 142*c**4/5 + 6*c**3/5 + 86*c**2 + 284*c/5 = 0 for c.
-71, -1, 0, 2
Let s**5/5 - 3*s**4 + 21*s**3/5 + 71*s**2/5 - 78*s/5 = 0. What is s?
-2, 0, 1, 3, 13
Let 3*y**3 + 6*y**2 - 27*y - 54 = 0. Calculate y.
-3, -2, 3
Factor 3*l**2 + 942*l + 73947.
3*(l + 157)**2
Suppose -580*o**2 - 556*o + 24 = 0. What is o?
-1, 6/145
Solve -2*h**4/3 + 1112*h**3/3 - 736*h**2 - 4448*h/3 + 8864/3 = 0 for h.
-2, 2, 554
Solve -h**3 + 9*h**2 - 23*h + 15 = 0.
1, 3, 5
Solve -3*k**3 - 813*k**2 - 1617*k - 807 = 0 for k.
-269, -1
Let -3*h**4 - 102*h**3 + 213*h**2 - 108*h = 0. What is h?
-36, 0, 1
Factor -4*r**5 + 32*r**4.
-4*r**4*(r - 8)
Let b**3/3 - 82*b**2/3 + 357*b - 330 = 0. Calculate b.
1, 15, 66
Factor -o**3/3 + o**2 + 4*o/3.
-o*(o - 4)*(o + 1)/3
Determine h, given that 5*h**3 - 120*h**2 + 960*h - 2560 = 0.
8
Suppose k**4/7 + 18*k**3/7 - 263*k**2/7 + 468*k/7 - 32 = 0. What is k?
-28, 1, 8
Factor z**3 + 80*z**2 - 4*z - 320.
(z - 2)*(z + 2)*(z + 80)
Solve 4*b**5 - 140*b**4 + 1292*b**3 - 1156*b**2 = 0 for b.
0, 1, 17
Factor 9*p**4 - 429*p**3 + 5040*p**2 + 1728*p.
3*p*(p - 24)**2*(3*p + 1)
Factor -541*s**3 + 1626*s**2 - 1091*s + 6.
-(s - 2)*(s - 1)*(541*s - 3)
Factor -2*n**3/11 - 16*n**2/11 + 2*n + 36/11.
-2*(n - 2)*(n + 1)*(n + 9)/11
Solve z**5/2 - 45*z**4/2 - 107*z**3 + 10412*z**2 - 9984*z - 20480 = 0.
-20, -1, 2, 32
Factor -2*j**3/9 + 2*j/9.
-2*j*(j - 1)*(j + 1)/9
Find m, given that -m**3/4 + m**2/4 = 0.
0, 1
Factor k**2/3 - 413*k/3 + 274.
(k - 411)*(k - 2)/3
Let 2*l**5/13 + 210*l**4/13 - 216*l**3/13 - 424*l**2/13 = 0. Calculate l.
-106, -1, 0, 2
Factor 16*t**3 + 92*t**2 + 120*t - 36.
4*(t + 3)**2*(4*t - 1)
Find p, given that 5*p**4/4 - p**3/2 = 0.
0, 2/5
Factor 3*k**3 + 141*k**2 + 525*k + 387.
3*(k + 1)*(k + 3)*(k + 43)
What is w in -w**5 + 31*w**4 + 39*w**3 - 211*w**2 - 410*w - 192 = 0?
-2, -1, 3, 32
Factor -3*g**3 + 99*g**2 - 765*g - 867.
-3*(g - 17)**2*(g + 1)
Factor -a**2/4 + 92*a + 185.
-(a - 370)*(a + 2)/4
Factor -3*t**3 - 24*t**2 + 9*t + 270.
-3*(t - 3)*(t + 5)*(t + 6)
Factor 11*j**4 + 12*j**3 - 65*j**2 - 6*j.
j*(j - 2)*(j + 3)*(11*j + 1)
Let -3*b**4 + 6*b**3 + 21*b**2 + 12*b = 0. Calculate b.
-1, 0, 4
Factor -3*l**5/8 + 477*l**4/2 - 150729*l**3/4 - 152163*l**2/2 - 305283*l/8.
-3*l*(l - 319)**2*(l + 1)**2/8
Factor 3*q**2/2 - 24*q - 630.
3*(q - 30)*(q + 14)/2
Let 5*y**4 - 5*y**2 = 0. What is y?
-1, 0, 1
Solve m**3/2 + 8*m**2 + 61*m/2 + 33 = 0.
-11, -3, -2
Factor -5*g**4 + 10*g**3 - 10*g + 5.
-5*(g - 1)**3*(g + 1)
What is k in -4*k**5 - 296*k**4 - 6040*k**3 - 21008*k**2 - 25060*k - 9800 = 0?
-35, -2, -1
Factor -3*l**4/7 + 13854*l**3/7 - 16008291*l**2/7 + 31975032*l/7 - 15980592/7.
-3*(l - 2308)**2*(l - 1)**2/7
What is c in -c**3 - 7731*c**2 - 19922787*c - 17113674033 = 0?
-2577
Solve 147*v**2 + 444*v + 9 = 0.
-3, -1/49
Let 11*u**5 + 134*u**4 - 130*u**3 - 160*u**2 + 119*u + 26 = 0. What is u?
-13, -1, -2/11, 1
Find i such that -25*i**5 + 185*i**4 - 405*i**3 + 235*i**2 + 130*i - 120 = 0.
-3/5, 1, 2, 4
Factor -96*q**4 - 72*q**3 + 45*q**2/2 - 3*q/2.
-3*q*(q + 1)*(8*q - 1)**2/2
Solve 3*t**2 + 72*t + 132 = 0.
-22, -2
Factor -5*g**2 - 17250*g - 14878125.
-5*(g + 1725)**2
Let f**2/6 - 77*f/2 - 116/3 = 0. What is f?
-1, 232
Suppose -4*p**4/3