+ 2)
Suppose -u**2/2 - 3*u/2 + 5 = 0. Calculate u.
-5, 2
Solve -j**2 + 534*j - 71289 = 0 for j.
267
Suppose -3*j**5 + 18*j**4 - 21*j**3 - 18*j**2 + 24*j = 0. Calculate j.
-1, 0, 1, 2, 4
Factor s**3/6 - s**2/6 - 11*s/3 + 20/3.
(s - 4)*(s - 2)*(s + 5)/6
Factor 16*a**3 + 44*a**2 - 300*a + 72.
4*(a - 3)*(a + 6)*(4*a - 1)
Factor -3*o**2/5 - 1132*o/5 - 377/5.
-(o + 377)*(3*o + 1)/5
Factor -2*j**2 - 6*j - 4.
-2*(j + 1)*(j + 2)
Determine h so that -3*h**3 + 12*h**2 - 3*h - 18 = 0.
-1, 2, 3
Solve -2*u**3 + 182*u**2 - 358*u + 178 = 0 for u.
1, 89
Factor 9*i**2/7 + 43*i/7 - 10/7.
(i + 5)*(9*i - 2)/7
Factor 4*z**3/7 + 100*z**2/7 + 272*z/7 + 176/7.
4*(z + 1)*(z + 2)*(z + 22)/7
Solve -21*c**5 - 69*c**4 - 60*c**3 - 12*c**2 = 0.
-2, -1, -2/7, 0
Let 2*m**5/7 - 6*m**4 + 150*m**3/7 + 722*m**2/7 + 816*m/7 + 288/7 = 0. What is m?
-1, 12
Factor -3*r**3 + 1131*r**2 + 3414*r + 2280.
-3*(r - 380)*(r + 1)*(r + 2)
Find t such that -4*t**5 + 16*t**4 - 40*t**2 + 4*t + 24 = 0.
-1, 1, 2, 3
Factor -f**3/10 - f**2/2 + f/10 + 1/2.
-(f - 1)*(f + 1)*(f + 5)/10
Factor 5*t**4 + 120*t**3 + 110*t**2 - 120*t - 115.
5*(t - 1)*(t + 1)**2*(t + 23)
Factor -3*c**4 + 6*c**3 + 9*c**2.
-3*c**2*(c - 3)*(c + 1)
Factor 2*u**2/23 - 12*u/23 + 16/23.
2*(u - 4)*(u - 2)/23
Factor -6*n**2 - 119*n/4 + 5/4.
-(n + 5)*(24*n - 1)/4
Factor -2*u**4/3 + 28*u**3/3 - 122*u**2/3 + 56*u - 24.
-2*(u - 6)**2*(u - 1)**2/3
Solve 7*j**2/2 - 29*j/4 + 1/2 = 0 for j.
1/14, 2
Factor 2*l**5/17 + 88*l**4/17 + 840*l**3/17.
2*l**3*(l + 14)*(l + 30)/17
Factor 5*o**3 - 10*o**2 - 25*o + 30.
5*(o - 3)*(o - 1)*(o + 2)
Factor -13*p**2/3 + p/3.
-p*(13*p - 1)/3
Factor 2*n**2 - 926*n.
2*n*(n - 463)
Suppose 56*k**5/11 - 10*k**4 - 228*k**3/11 + 104*k**2/11 + 172*k/11 + 6/11 = 0. Calculate k.
-1, -1/28, 1, 3
Find w, given that -4*w**5 + 4*w**4 + 32*w**3 - 32*w**2 - 64*w + 64 = 0.
-2, 1, 2
Find d, given that 5*d**4 - 14800*d**3 + 16428000*d**2 - 8104480000*d + 1499328800000 = 0.
740
Factor 3*w**4 + 120*w**3 + 1071*w**2 - 2646*w.
3*w*(w - 2)*(w + 21)**2
Factor 2*q**3/13 - 168*q**2/13 - 518*q/13 - 348/13.
2*(q - 87)*(q + 1)*(q + 2)/13
Solve 3*m**5 - 3*m**4 - 27*m**3 + 27*m**2 = 0.
-3, 0, 1, 3
What is m in -4*m**3 + 148*m + 336 = 0?
-4, -3, 7
Let u**3 - 55*u**2 - 58*u + 112 = 0. Calculate u.
-2, 1, 56
Solve 22*m**5/13 + 62*m**4/13 - 34*m**3/13 - 62*m**2/13 + 12*m/13 = 0.
-3, -1, 0, 2/11, 1
Factor 2*u**2 - 298*u - 1224.
2*(u - 153)*(u + 4)
Find p, given that -p**4/5 - 40*p**3 - 9168*p**2/5 + 16640*p - 173056/5 = 0.
-104, 4
Suppose 21*k**5/8 - 15*k**4 + 33*k**3/2 + 6*k**2 = 0. What is k?
-2/7, 0, 2, 4
Let -2*v**4 - 182*v**3 - 4044*v**2 + 4600*v + 8464 = 0. What is v?
-46, -1, 2
Let -34*c**3/7 + 260*c**2/7 - 414*c/7 - 180/7 = 0. Calculate c.
-6/17, 3, 5
Determine a so that -2*a**2/19 + 2*a/19 + 40/19 = 0.
-4, 5
Solve 5*n**3 + 10*n**2 - 35*n + 20 = 0.
-4, 1
Determine z, given that 7*z**5 - 50*z**4 + 49*z**3 - 6*z**2 = 0.
0, 1/7, 1, 6
Solve i**4 - 12*i**2 + 16*i = 0.
-4, 0, 2
Solve t**3 - 182*t**2 + 8281*t = 0 for t.
0, 91
Factor 2*x**3/5 - 4*x**2/5 - 22*x/5 + 24/5.
2*(x - 4)*(x - 1)*(x + 3)/5
Suppose i**5/2 - 8*i**4 - 11*i**3/2 + 79*i**2 + 140*i + 64 = 0. What is i?
-2, -1, 4, 16
Determine w so that w**4/4 - 119*w**3/4 + 3597*w**2/4 - 3245*w/4 - 3481/2 = 0.
-1, 2, 59
Find s, given that -4*s**5/5 - 154*s**4/15 - 496*s**3/15 + 278*s**2/15 + 536*s/5 - 408/5 = 0.
-6, -17/6, 1
Let -25*v**3/8 + 55*v**2/4 - 41*v/8 + 1/2 = 0. What is v?
1/5, 4
Suppose r**5/11 + 42*r**4/11 + 552*r**3/11 + 2384*r**2/11 + 4176*r/11 + 2592/11 = 0. What is r?
-18, -2
Determine o so that 3*o**3 - 28*o**2 + 28*o + 32 = 0.
-2/3, 2, 8
Factor -2*i**5/3 - 8*i**4/3 + 56*i**3/3 - 64*i**2/3.
-2*i**2*(i - 2)**2*(i + 8)/3
Factor 4*t**4 + 4*t**3 - 4*t**2 - 4*t.
4*t*(t - 1)*(t + 1)**2
What is g in 5*g**2 + 3560*g + 3555 = 0?
-711, -1
Determine i, given that 4*i**5 + 12*i**4 - 72*i**3 + 16*i**2 + 96*i = 0.
-6, -1, 0, 2
Find d such that 3*d**5 + 63*d**4 + 171*d**3 + 165*d**2 + 54*d = 0.
-18, -1, 0
Factor 4*j**4 - 20*j**3 - 28*j**2 + 20*j + 24.
4*(j - 6)*(j - 1)*(j + 1)**2
Factor 2*z**3/7 + 752*z**2/7.
2*z**2*(z + 376)/7
Determine l so that l**3 - 89*l**2 + 1935*l + 2025 = 0.
-1, 45
Solve -n**3 + 7*n**2 - 11*n + 5 = 0.
1, 5
Factor -2*h**2 + 38*h + 504.
-2*(h - 28)*(h + 9)
Factor u**2/2 + u/2.
u*(u + 1)/2
Factor 2*b**3/11 + 190*b**2/11 + 556*b/11 + 368/11.
2*(b + 1)*(b + 2)*(b + 92)/11
Suppose h**2/2 + 3*h + 4 = 0. Calculate h.
-4, -2
Find f, given that -315*f**3 - 402*f**2 + 444*f - 24 = 0.
-2, 2/35, 2/3
Factor -3*y**5 + 15*y**4 + 42*y**3 + 6*y**2 - 39*y - 21.
-3*(y - 7)*(y - 1)*(y + 1)**3
What is v in -2*v**3/5 + 38*v**2/5 + 184*v/5 = 0?
-4, 0, 23
Factor r**3 + 16*r**2 - 67*r - 190.
(r - 5)*(r + 2)*(r + 19)
Suppose c**2/4 - 113*c - 453/4 = 0. Calculate c.
-1, 453
Suppose -53*c**2/3 - 211*c/3 + 4/3 = 0. Calculate c.
-4, 1/53
Factor -148292589*y**4/4 - 37982298*y**3 - 1833165*y**2/2 - 7452*y - 81/4.
-3*(y + 1)*(367*y + 3)**3/4
Factor 5*x**2 - 10*x + 5.
5*(x - 1)**2
Factor -4*w**2 + 59528*w - 221473924.
-4*(w - 7441)**2
Factor -o**5/9 - 10*o**4/9 - 16*o**3/9 + 2*o**2/9 + 17*o/9 + 8/9.
-(o - 1)*(o + 1)**3*(o + 8)/9
Suppose -20*i**5 + 220*i**4 - 665*i**3 + 240*i**2 + 855*i + 270 = 0. Calculate i.
-1/2, 3, 6
Factor -4*d**3 - 280*d**2 + 1168*d - 1184.
-4*(d - 2)**2*(d + 74)
Solve 2*r**5 + 8*r**4 - 30*r**3 - 28*r**2 + 56*r + 48 = 0.
-6, -1, 2
Let -3*i**3/7 + 216*i**2/7 - 2259*i/7 - 354 = 0. Calculate i.
-1, 14, 59
Factor 4394*p**3/9 + 6084*p**2 + 25272*p + 34992.
2*(13*p + 54)**3/9
Factor t**5/2 + t**4/2 - t**3.
t**3*(t - 1)*(t + 2)/2
Factor 3*a**3 - 606*a**2 - 1224*a.
3*a*(a - 204)*(a + 2)
Find m such that -2*m**5/3 - 20*m**4/3 + 14*m**3/3 + 248*m**2/3 - 120*m = 0.
-9, -5, 0, 2
Factor -3*q**3 - 192*q**2 - 171*q + 1134.
-3*(q - 2)*(q + 3)*(q + 63)
Solve 12*k**5 + 28*k**4 + 8*k**3 = 0 for k.
-2, -1/3, 0
What is m in -4*m**2 + 48*m + 112 = 0?
-2, 14
Factor 2*p**2/3 + 404*p/3 + 134.
2*(p + 1)*(p + 201)/3
Let 55*r**2 + 75*r + 20 = 0. Calculate r.
-1, -4/11
Factor 4*b**4 - 492*b**3 + 16704*b**2 - 94192*b.
4*b*(b - 58)**2*(b - 7)
Factor l**4 + 83*l**3 + 2043*l**2 + 12913*l + 10952.
(l + 1)*(l + 8)*(l + 37)**2
Find r such that 2*r**3 - 170*r**2 + 3344*r + 11616 = 0.
-3, 44
Solve -2*v**5 + 4*v**4 - 4*v**2 + 2*v = 0.
-1, 0, 1
Factor -5*f**3 + 1740*f**2 - 151380*f.
-5*f*(f - 174)**2
Factor 3*x**4 + 183*x**3 + 177*x**2 - 183*x - 180.
3*(x - 1)*(x + 1)**2*(x + 60)
Factor -x**4 - 579*x**3 - 78688*x**2 + 1500132*x - 1420864.
-(x - 16)*(x - 1)*(x + 298)**2
Factor -4*m**3/5 + 1724*m**2/5 + 16*m/5 - 6896/5.
-4*(m - 431)*(m - 2)*(m + 2)/5
Factor 2*j**4 - 136*j**3 + 2310*j**2 + 136*j - 2312.
2*(j - 34)**2*(j - 1)*(j + 1)
Determine c so that 2*c**5 + 10*c**4 - 24*c**3 - 136*c**2 + 64*c + 384 = 0.
-4, -2, 2, 3
Let -2*m**3/9 + 6*m**2 + 56*m/9 = 0. What is m?
-1, 0, 28
Suppose 84*m**3 - 1389*m**2 + 726*m - 96 = 0. Calculate m.
1/4, 2/7, 16
Factor 405*z**3 + 360*z**2 + 80*z.
5*z*(9*z + 4)**2
Factor 5*c**3 + 15060*c**2 + 15120240*c + 5060240320.
5*(c + 1004)**3
Factor 28*w**4 + 268*w**3 + 564*w**2 + 436*w + 112.
4*(w + 1)**2*(w + 7)*(7*w + 4)
Solve 10*m**5/13 + 6*m**4/13 - 14*m**3/13 - 6*m**2/13 + 4*m/13 = 0 for m.
-1, 0, 2/5, 1
Factor -6*p**3/5 + 114*p**2/5 - 384*p/5 + 72.
-6*(p - 15)*(p - 2)**2/5
Solve -3*f**2 - 24*f + 27 = 0.
-9, 1
Suppose -s**4/2 - s**3 + 3*s**2/2 + 4*s + 2 = 0. What is s?
-2, -1, 2
Let -4*i**3 + 52*i**2 + 116*i + 60 = 0. What is i?
-1, 15
Factor 3*w**5 + 60*w**4 + 435*w**3 + 1410*w**2 + 2100*w + 1176.
3*(w + 2)**3*(w + 7)**2
Factor 2*s**5/11 - 318*s**4/11 - 320*s**3/11.
2*s**3*(s - 160)*(s + 1)/11
Factor 5*p**2 - 1035*p + 1030.
5*(p - 206)*(p - 1)
Suppose -2*x**5/9 - 38*x**4/3 + 118*x**3/9 + 38*x**2/3 - 116*x/9 = 0. Calculate x.
-58, -1, 0, 1
Let -4*x**5 + 5*x**4 + 363*x**3 - 815*x**2 + 541*x - 90 = 0. Calculate x.
-10, 1/4, 1, 9
Suppose 2*t**3/17 + 184*t**2/17 + 2090*t/17 - 108900/17 = 0. Calculate t.
-55, 18
Let q**4/5 - 17*q**3/5 + 47*q**2/5 + 13*q = 0. Calculate q.
-1, 0, 5, 13
Factor 5*r**4 + 25*r**3 - 285*r**2 + 475*r - 220.
5*(r - 4)*(r - 1)**2*(r + 11)
Determine i, given that 16*i**4 - 124*i**3 - 752*i**2 - 756*i - 144 = 0.
-3, -1, -1/4, 12
Find j, given that -12*j**5 + 296*j**4/3 - 820*j**3/3 + 320*j**2 - 464*j/3 + 64/3 = 0.
2/9, 1, 2, 4
Determine h so that 4*h**2/3 + 32*h/3 - 12 = 0.
