*f/2 - 783.
3*(f - 174)*(4*f + 3)/2
Determine o, given that -8*o**5/15 - 8*o**4/3 - 2*o**3 + 2*o**2/3 + 8*o/15 = 0.
-4, -1, -1/2, 0, 1/2
Solve -4*o**2/3 + 352*o - 1044 = 0.
3, 261
Factor 2*b**2 + 36*b - 38.
2*(b - 1)*(b + 19)
Factor -5*r**2 - 820*r - 33620.
-5*(r + 82)**2
Factor 2*h**2 + 332*h - 334.
2*(h - 1)*(h + 167)
Suppose l**5/3 + 14*l**4/3 + 68*l**3/3 + 130*l**2/3 + 25*l = 0. What is l?
-5, -3, -1, 0
Factor -2*m**5 + 320*m**4 - 17168*m**3 + 313972*m**2 - 264046*m - 595508.
-2*(m - 53)**3*(m - 2)*(m + 1)
Solve 15*c**4 - 130*c**3 + 300*c**2 - 270*c + 85 = 0.
1, 17/3
What is y in -2*y**2/7 - 92*y/7 - 176/7 = 0?
-44, -2
Factor 4*w**3 + 24*w**2 + 48*w + 32.
4*(w + 2)**3
Factor -110*p**2 + 145*p - 35.
-5*(p - 1)*(22*p - 7)
Suppose -5*u**2 - 10*u + 75 = 0. What is u?
-5, 3
Find d, given that 3*d**3 - 45*d**2 - 156*d - 108 = 0.
-2, -1, 18
What is x in -31*x**2 + 963*x - 62 = 0?
2/31, 31
What is j in -j**2/9 - 10*j/9 - 7/3 = 0?
-7, -3
Factor 2*m**3/7 - 52*m**2/7 + 14*m - 48/7.
2*(m - 24)*(m - 1)**2/7
Factor 2*x**5/11 + 8*x**4/11 - 52*x**3/11 + 8*x**2 - 62*x/11 + 16/11.
2*(x - 1)**4*(x + 8)/11
Factor -n**2/2 - 151*n/2 + 76.
-(n - 1)*(n + 152)/2
Determine j, given that 2*j**2 - 22*j + 48 = 0.
3, 8
Factor 5*n**3/4 + 17*n**2 + 37*n/4 - 13/2.
(n + 1)*(n + 13)*(5*n - 2)/4
Find m, given that m**2/8 - 77*m/4 + 5929/8 = 0.
77
Factor -3*p**5 - 12*p**4 + 36*p**3 - 6*p**2 - 33*p + 18.
-3*(p - 1)**3*(p + 1)*(p + 6)
Determine v so that -4*v**5 - 6*v**4 + 18*v**3 - 2*v**2 - 6*v = 0.
-3, -1/2, 0, 1
Find w such that w**5/5 + 2*w**4/5 - 4*w**3/5 - 8*w**2/5 = 0.
-2, 0, 2
What is g in 4*g**4/7 - 32*g**3/7 - 180*g**2/7 - 144*g/7 = 0?
-3, -1, 0, 12
Determine a, given that 12*a**5 - 191*a**4 + 119*a**3 + 734*a**2 - 668*a + 120 = 0.
-2, 1/4, 2/3, 2, 15
Factor 2*h**4/7 - 100*h**3/7 + 1034*h**2/7 + 5400*h/7 + 5832/7.
2*(h - 27)**2*(h + 2)**2/7
What is w in -w**2 + 48*w + 265 = 0?
-5, 53
Factor -4*w**4 + 144*w**3 - 632*w**2 + 336*w + 1116.
-4*(w - 31)*(w - 3)**2*(w + 1)
Factor -5*h**4/6 - 10*h**3 - 55*h**2/6.
-5*h**2*(h + 1)*(h + 11)/6
Suppose -4*t**2 - 464*t - 13456 = 0. What is t?
-58
Solve 2*f**5 - 6*f**4 - 18*f**3 + 46*f**2 - 24*f = 0.
-3, 0, 1, 4
Suppose 2*h**3 + 114*h**2 + 1566*h - 1682 = 0. What is h?
-29, 1
Factor 2*o**2 + 328*o + 13448.
2*(o + 82)**2
Factor -16*h**3 + 34*h**2 + 292*h - 310.
-2*(h - 5)*(h - 1)*(8*h + 31)
Suppose 27*o**4 + 1314*o**3 + 12099*o**2 - 94608*o + 139968 = 0. Calculate o.
-27, 8/3
Let 5*p**4 - 60*p**3 + 110*p**2 + 420*p + 245 = 0. What is p?
-1, 7
Find j, given that -5*j**2 - 210*j - 400 = 0.
-40, -2
Factor 2*c**4/9 - 152*c**3/9 + 676*c**2/3 + 32680*c/9 + 92450/9.
2*(c - 43)**2*(c + 5)**2/9
Factor 460*s**4 + 271*s**3 - 187*s**2 + 2*s.
s*(s + 1)*(5*s - 2)*(92*s - 1)
Factor -5*s**4 + 45*s**3 + 165*s**2 + 175*s + 60.
-5*(s - 12)*(s + 1)**3
Factor 2*j**2/5 - 1228*j/5 - 2464/5.
2*(j - 616)*(j + 2)/5
Let 2*r**3/7 + 240*r**2/7 + 9600*r/7 + 128000/7 = 0. Calculate r.
-40
Factor 2*z**3/11 + 76*z**2/11 + 546*z/11 - 3528/11.
2*(z - 4)*(z + 21)**2/11
Factor -2*w**2/9 + 58*w/9 + 20/3.
-2*(w - 30)*(w + 1)/9
Factor p**3/7 - 6*p**2/7 - 13*p + 396/7.
(p - 11)*(p - 4)*(p + 9)/7
What is r in -4*r**2 + 352*r + 1860 = 0?
-5, 93
Factor -4*d**3 - 4*d**2 + 4*d + 4.
-4*(d - 1)*(d + 1)**2
Factor n**4/2 + 7*n**3/2 + 7*n**2 + 4*n.
n*(n + 1)*(n + 2)*(n + 4)/2
Factor 9*j**3/4 + 11*j**2/4 + j/2.
j*(j + 1)*(9*j + 2)/4
Let -3*m**2 + 4968*m - 2056752 = 0. What is m?
828
Determine i, given that -i**4 - 79*i**3 - 1199*i**2 - 1121*i = 0.
-59, -19, -1, 0
Factor -3*c**3 - 180*c**2 - 2304*c + 12288.
-3*(c - 4)*(c + 32)**2
Determine a so that 4*a**5/3 - 50*a**4/3 + 158*a**3/3 + 44*a**2/3 - 104*a - 48 = 0.
-1, -1/2, 2, 6
Factor n**4/6 + 11*n**3/6 - 25*n**2/6 + 13*n/6.
n*(n - 1)**2*(n + 13)/6
Suppose 2*y**5/17 + 32*y**4/17 - 114*y**3/17 + 8*y**2/17 + 152*y/17 = 0. Calculate y.
-19, -1, 0, 2
Determine l, given that -14*l**5/5 - 382*l**4/5 - 1452*l**3/5 - 1672*l**2/5 - 368*l/5 = 0.
-23, -2, -2/7, 0
Let 2*k**4/7 + 100*k**3/7 - 30*k**2 - 100*k/7 + 208/7 = 0. What is k?
-52, -1, 1, 2
Find n, given that -5*n**5 - 75*n**4 - 375*n**3 - 725*n**2 - 600*n - 180 = 0.
-6, -1
Factor 3*s**3 - 447*s**2 + 18720*s - 240300.
3*(s - 89)*(s - 30)**2
Factor 2*y**2/13 + 72*y/13 - 152/13.
2*(y - 2)*(y + 38)/13
Find j such that 3*j**2 - 6*j - 72 = 0.
-4, 6
Determine t so that 5*t**4 - 155*t**3 + 265*t**2 + 755*t - 870 = 0.
-2, 1, 3, 29
Find g such that g**2/4 + 91*g - 183 = 0.
-366, 2
Factor 2*z**2/5 - 22*z - 112/5.
2*(z - 56)*(z + 1)/5
Determine d, given that -2*d**2/11 + 200*d/11 - 18 = 0.
1, 99
Let -q**3/5 - 11*q**2/5 - 32*q/5 - 28/5 = 0. What is q?
-7, -2
Determine y so that -5*y**3 + 30*y**2 - 25*y - 60 = 0.
-1, 3, 4
Let 3*f**5 - 339*f**4/5 - 153*f**3/5 + 339*f**2/5 + 138*f/5 = 0. Calculate f.
-1, -2/5, 0, 1, 23
Suppose 5*o**3 - 35*o + 30 = 0. Calculate o.
-3, 1, 2
Solve 2*l**5 - 45*l**4 - 9*l**3 + 3637*l**2 - 1785*l - 1800 = 0.
-8, -1/2, 1, 15
Determine g, given that 19*g**5 + 215*g**4/3 + 307*g**3/3 + 67*g**2 + 56*g/3 + 4/3 = 0.
-1, -2/3, -2/19
Find b, given that b**2 + 9*b + 20 = 0.
-5, -4
Factor -2*g**2/3 + 22*g/3 - 20/3.
-2*(g - 10)*(g - 1)/3
Let 3*k**4 + 543*k**3 - 1650*k**2 + 1104*k = 0. What is k?
-184, 0, 1, 2
Factor 2*c**5/9 - 64*c**4/9 + 442*c**3/9 + 1156*c**2/9.
2*c**2*(c - 17)**2*(c + 2)/9
Factor g**2/3 - 15*g.
g*(g - 45)/3
Factor 3*m**3 - 360*m**2 - 729*m - 366.
3*(m - 122)*(m + 1)**2
Let 4*h**5 + 12*h**4 - 52*h**3 - 188*h**2 - 192*h - 64 = 0. Calculate h.
-4, -1, 4
Find p such that 2*p**2/3 + 406*p/3 + 404/3 = 0.
-202, -1
Factor 2*c**2 + 2*c - 40.
2*(c - 4)*(c + 5)
Let -50*v**2 - 20*v/3 - 2/9 = 0. What is v?
-1/15
Find r such that -5*r**5 - 25*r**4 - 35*r**3 - 15*r**2 = 0.
-3, -1, 0
Factor 2*o**4 - 4148*o**3 + 2150738*o**2.
2*o**2*(o - 1037)**2
Factor 6*a**2/5 - 114*a/5 - 252/5.
6*(a - 21)*(a + 2)/5
Find u such that -2*u**5 + 9*u**4 - 11*u**3 + 4*u = 0.
-1/2, 0, 1, 2
Factor -3*z**3 - 33*z**2 + 3*z + 33.
-3*(z - 1)*(z + 1)*(z + 11)
Factor 2*u**4 + 14*u**3 + 34*u**2 + 34*u + 12.
2*(u + 1)**2*(u + 2)*(u + 3)
Find q such that -6*q**3/7 + 24*q**2/7 + 6*q - 60/7 = 0.
-2, 1, 5
Factor 2*j**2 - 100*j + 528.
2*(j - 44)*(j - 6)
Solve c**4 - 3*c**3 + 2*c**2 = 0.
0, 1, 2
Factor o**2/6 - 34*o/3 + 578/3.
(o - 34)**2/6
Factor 2*f**4 - 238*f**3 + 6960*f**2 + 7200*f.
2*f*(f - 60)**2*(f + 1)
Solve 4*p**2 - 108*p + 368 = 0 for p.
4, 23
Suppose 3*y**3/7 - 3*y**2/7 - 111*y/7 - 15 = 0. What is y?
-5, -1, 7
Determine y, given that 4*y**2 + 104*y - 108 = 0.
-27, 1
Let 2*t**2 - 392*t + 19208 = 0. What is t?
98
Find f such that -5*f**3 + 60*f**2 - 240*f + 320 = 0.
4
Factor 18*x**2 + 142*x - 16.
2*(x + 8)*(9*x - 1)
Factor -n**3/5 - 202*n**2/5 - 796*n/5 - 792/5.
-(n + 2)**2*(n + 198)/5
Factor -2*w**2/7 + 176*w/7 - 3872/7.
-2*(w - 44)**2/7
Let 3*l**2 + 1044*l - 1047 = 0. What is l?
-349, 1
Let q**5 + 68*q**4 + 65*q**3 - 134*q**2 = 0. Calculate q.
-67, -2, 0, 1
Factor -4*j**2 + 1672*j + 1676.
-4*(j - 419)*(j + 1)
Suppose -2*k**3/3 - 1592*k**2/9 + 1066*k/9 + 532/9 = 0. Calculate k.
-266, -1/3, 1
Factor 3*h**2/4 + 141*h/2 - 285/4.
3*(h - 1)*(h + 95)/4
Factor -5*q**5 + 10*q**4 + 40*q**3 + 10*q**2 - 35*q - 20.
-5*(q - 4)*(q - 1)*(q + 1)**3
What is g in -2*g**3/21 + 44*g**2/3 - 1208*g/21 + 400/7 = 0?
2, 150
Factor -3*x**2/2 + 951*x/2.
-3*x*(x - 317)/2
Determine n, given that -5*n**5 - 20*n**4 + 50*n**2 + 5*n - 30 = 0.
-3, -2, -1, 1
Solve -4*p**5/3 - p**4 + 58*p**3/3 - 116*p**2/3 + 30*p - 25/3 = 0.
-5, 1, 5/4
Let 16*y**4 - 28*y**3 - 56*y**2 - 12*y = 0. What is y?
-1, -1/4, 0, 3
Find j, given that 4*j**3 + 512*j**2 + 1964*j - 2480 = 0.
-124, -5, 1
Factor -2*l**2/7 - 950*l/7 - 948/7.
-2*(l + 1)*(l + 474)/7
Factor -5*b**4/2 - 5*b**3 - 5*b**2/2.
-5*b**2*(b + 1)**2/2
Factor 5*a**5 - 40*a**4 - 175*a**3 + 1470*a**2.
5*a**2*(a - 7)**2*(a + 6)
Suppose 2*m**3/9 - 82*m**2/9 + 496*m/9 - 680/9 = 0. What is m?
2, 5, 34
Factor y**2 - 2*y - 24.
(y - 6)*(y + 4)
Factor 2*v**3 + 1142*v**2 + 163590*v + 162450.
2*(v + 1)*(v + 285)**2
Solve -5*w**5/9 - 58*w**4/9 - 28*w**3/9 + 58*w**2/9 + 11*w/3 = 0 for w.
-11, -1, -3/5, 0, 1
Suppose 13*c**5/3 + 89*c**4/3 + 43*c**3 + 43*c**2/3 - 10*c/3 = 0. Calculate c.
-5, -1, 0, 2/13
Solve -3*i**2 + 1008*i - 84672 = 0 for i.
168
Factor 3*p**2/7 - 6*p/7 - 45/7.
3*(p - 5)*(p + 3)/7
Let 2*j**5 + 16*j**4 + 2