 18)*(m - 5)*(m + 8)/4
Factor 2*n**3 + 52*n**2 + 258*n + 360.
2*(n + 3)**2*(n + 20)
Determine o, given that -32*o**3 - 52*o**2 + 120*o - 36 = 0.
-3, 3/8, 1
Determine f, given that f**4/6 + 19*f**3/6 + 125*f**2/6 + 329*f/6 + 49 = 0.
-7, -3, -2
Suppose 3*y**4 + 156*y**3 = 0. Calculate y.
-52, 0
What is h in h**3/2 - 53*h**2/2 + 285*h = 0?
0, 15, 38
Factor -4*p**3/7 - 4*p**2 + 352*p/7 - 80.
-4*(p - 5)*(p - 2)*(p + 14)/7
Factor -r**5/5 + 7*r**4/5 + 102*r**3/5 + 254*r**2/5 + 47*r + 15.
-(r - 15)*(r + 1)**3*(r + 5)/5
Factor -2*f**2 - 24*f - 22.
-2*(f + 1)*(f + 11)
Find f such that -2*f**3/13 + 10*f**2/13 - 12*f/13 = 0.
0, 2, 3
Suppose y**2/4 - 2252*y + 5071504 = 0. Calculate y.
4504
Determine u so that -4*u**2 + 8*u = 0.
0, 2
Determine s, given that -3*s**2 - 21*s + 990 = 0.
-22, 15
Solve -1225*a**5/2 + 8365*a**4/2 - 11117*a**3 + 14381*a**2 - 18157*a/2 + 4489/2 = 0.
1, 67/35
What is a in -5*a**4 + 45*a**3 - 100*a**2 + 60*a = 0?
0, 1, 2, 6
Determine r so that 32*r**4/5 - 32*r**3/5 - 2*r**2/5 + 2*r/5 = 0.
-1/4, 0, 1/4, 1
Determine i so that -i**2/2 - 43*i/2 + 297 = 0.
-54, 11
Factor 4*b**3 + 164*b**2 + 1304*b + 1984.
4*(b + 2)*(b + 8)*(b + 31)
Factor 4*t**3 - 4*t**2 - 104*t - 96.
4*(t - 6)*(t + 1)*(t + 4)
Let -2*p**2 - 402*p + 404 = 0. What is p?
-202, 1
Factor 36*o**2 + 538*o/15 - 2/15.
2*(o + 1)*(270*o - 1)/15
Factor -5*j**3/3 - 20*j**2 + 5*j/3 + 20.
-5*(j - 1)*(j + 1)*(j + 12)/3
Suppose -3*s**2/2 + 1194*s - 237606 = 0. What is s?
398
Factor -2*r**3 - 30*r**2 - 96*r + 128.
-2*(r - 1)*(r + 8)**2
Factor 4*m**5 + 4492*m**4 + 1263372*m**3 + 1258884*m**2.
4*m**2*(m + 1)*(m + 561)**2
Suppose -16*h**4/7 + 304*h**3/7 - 1588*h**2/7 + 1368*h/7 - 324/7 = 0. What is h?
1/2, 9
Find b such that -b**2 + 2*b + 24 = 0.
-4, 6
Factor -494*r**2/9 - 1012*r/9 - 16/3.
-2*(r + 2)*(247*r + 12)/9
Determine y so that 2*y**2/23 + 60*y/23 - 198/23 = 0.
-33, 3
Solve -2*b**2/3 + 140*b/3 + 304 = 0 for b.
-6, 76
Factor 2*c**3/3 + 64*c**2 - 130*c + 196/3.
2*(c - 1)**2*(c + 98)/3
Let -2*l**2 - 302*l - 300 = 0. Calculate l.
-150, -1
Suppose 3*f**4 + 24*f**3 - 75*f**2 - 132*f + 180 = 0. What is f?
-10, -2, 1, 3
Factor -k**3/2 - 5*k**2/2 - 2*k.
-k*(k + 1)*(k + 4)/2
Let -2*q**5/13 - 12*q**4/13 - 20*q**3/13 + 22*q/13 + 12/13 = 0. What is q?
-3, -2, -1, 1
Find w such that 314*w**2/3 - 1568*w/3 - 10/3 = 0.
-1/157, 5
Determine q, given that 3*q**3 + 12*q**2 + 3*q - 18 = 0.
-3, -2, 1
Find t, given that t**2/2 + 6495*t + 42185025/2 = 0.
-6495
Factor 2*s**5 - 84*s**4 - 1926*s**3 + 58968*s**2 + 985608*s.
2*s*(s - 39)**2*(s + 18)**2
Solve -5*h**3/2 + 55*h**2 - 105*h/2 = 0 for h.
0, 1, 21
Determine r so that 25*r**5 - 15*r**4 - 85*r**3 - 5*r**2 + 60*r + 20 = 0.
-1, -2/5, 1, 2
Factor -125*u**4/3 + 5525*u**3/3 + 4480*u**2/3 + 300*u.
-5*u*(u - 45)*(5*u + 2)**2/3
Factor -18*i**3 + 264*i**2 + 376*i + 128.
-2*(i - 16)*(3*i + 2)**2
Factor 5*r**3 + 75*r**2 - 585*r + 945.
5*(r - 3)**2*(r + 21)
Factor z**2/5 + 44*z/5 + 484/5.
(z + 22)**2/5
Factor 4*u**3/3 + 224*u**2/3 + 3136*u/3.
4*u*(u + 28)**2/3
Factor 3*z**2/2 + 459*z/2 - 231.
3*(z - 1)*(z + 154)/2
Factor -139876*f**3 + 278256*f**2 + 2988*f + 8.
-4*(f - 2)*(187*f + 1)**2
Solve -156*w**5 + 856*w**4 - 1636*w**3 + 1272*w**2 - 368*w + 32 = 0 for w.
2/13, 1/3, 1, 2
Solve -2*n**2/7 + 12*n/7 + 110/7 = 0.
-5, 11
Factor 5*n**3 - 38*n**2 - 436*n - 168.
(n - 14)*(n + 6)*(5*n + 2)
Solve y**2 + 23*y + 22 = 0 for y.
-22, -1
Factor 3*a**4 - 135*a**3 + 1689*a**2 - 3465*a - 5292.
3*(a - 21)**2*(a - 4)*(a + 1)
Factor -2*l**4 - 24*l**3 + 390*l**2 - 1100*l.
-2*l*(l - 5)**2*(l + 22)
Factor 48*y**3/5 - 108312*y**2/5 + 54147*y/5 - 6768/5.
3*(y - 2256)*(4*y - 1)**2/5
Solve -15*m**4 + 95*m**3 - 20*m**2 - 60*m = 0.
-2/3, 0, 1, 6
Factor -p**4/5 + 6*p**3/5 - 13*p**2/5 + 12*p/5 - 4/5.
-(p - 2)**2*(p - 1)**2/5
Solve 4*h**3 + 193*h**2 + 236*h + 47 = 0 for h.
-47, -1, -1/4
Factor -148*v**2 + 1440*v + 400.
-4*(v - 10)*(37*v + 10)
Factor 2*c**4/7 + 62*c**3/7 + 24*c**2.
2*c**2*(c + 3)*(c + 28)/7
Suppose g**3/5 - 48*g**2/5 - 157*g/5 + 204/5 = 0. Calculate g.
-4, 1, 51
Determine b, given that 4*b**3/5 + 24*b**2/5 + 44*b/5 + 24/5 = 0.
-3, -2, -1
Solve 19*v**5 + 21*v**4 - 112*v**3 - 12*v**2 = 0 for v.
-3, -2/19, 0, 2
What is f in 8*f**5 + 22*f**4 - 12*f**3 - 82*f**2 - 80*f - 24 = 0?
-2, -1, -3/4, 2
Let -18*j**5/11 + 404*j**4/11 - 536*j**3/11 - 236*j**2/11 + 554*j/11 - 168/11 = 0. What is j?
-1, 4/9, 1, 21
Factor -33*m**4/7 - 69*m**3/7 - 6*m**2/7.
-3*m**2*(m + 2)*(11*m + 1)/7
Let h**2 + 9*h - 10 = 0. Calculate h.
-10, 1
Determine f so that -9*f**5/5 - 471*f**4/5 - 6621*f**3/5 - 10449*f**2/5 + 6510*f - 3000 = 0.
-25, -4, 2/3, 1
Let 4*t**2 + 72*t = 0. Calculate t.
-18, 0
Find l such that -l**4/8 + l**3/2 + 355*l**2/8 - 359*l/4 + 45 = 0.
-18, 1, 20
Factor -8*r**2 + 812*r + 408.
-4*(r - 102)*(2*r + 1)
Factor w**4/5 - 2*w**3 - 84*w**2/5 - 184*w/5 - 128/5.
(w - 16)*(w + 2)**3/5
Determine v, given that -v**5/4 - 27*v**4/4 - 42*v**3 + 49*v**2 = 0.
-14, 0, 1
Factor a**2/4 + 2205*a/2 + 4862025/4.
(a + 2205)**2/4
Factor -3*k**4/8 - 15*k**3/8 + 9*k**2/4.
-3*k**2*(k - 1)*(k + 6)/8
Solve -r**4 + 5*r**3 + 66*r**2 + 32*r - 352 = 0 for r.
-4, 2, 11
Suppose -2*c**4/5 + 14*c**3/5 - 12*c**2/5 = 0. Calculate c.
0, 1, 6
Find w such that 3*w**5 - 237*w**4 + 4986*w**3 - 10716*w**2 - 43320*w = 0.
-2, 0, 5, 38
Solve 3*v**2 + 81*v + 78 = 0.
-26, -1
Factor x**3/4 + 9*x**2/4 + 2*x - 15.
(x - 2)*(x + 5)*(x + 6)/4
Find a such that 84*a**4 - 248*a**3 + 240*a**2 - 72*a - 4 = 0.
-1/21, 1
Let -2196*h**3 + 4393*h**2 - 2198*h + 1 = 0. What is h?
1/2196, 1
Find r such that 8*r**3/7 + 198*r**2/7 + 1296*r/7 + 864/7 = 0.
-12, -3/4
Solve 125*y**5 - 5400*y**4 + 6245*y**3 + 2370*y**2 - 2500*y - 840 = 0 for y.
-2/5, 1, 42
Solve r**4/3 - 3*r**3 + 3*r**2 + 85*r/3 - 50 = 0.
-3, 2, 5
Suppose 2*j**4 - 4*j**3 - 14*j**2 - 8*j = 0. What is j?
-1, 0, 4
Factor -2*d**2 + 662*d - 660.
-2*(d - 330)*(d - 1)
Factor 2*d**3 - 8*d**2 - 78*d - 108.
2*(d - 9)*(d + 2)*(d + 3)
Solve 11*f**4 + 16*f**3 - 177*f**2 - 306*f + 216 = 0 for f.
-3, 6/11, 4
Solve 3*z**3/4 - 55*z**2/4 + 129*z/2 - 20 = 0.
1/3, 8, 10
Solve 8*o**2/5 - 56*o/5 + 98/5 = 0.
7/2
Factor 26*c**3/5 - 134*c**2/5 - 136*c/5 + 24/5.
2*(c - 6)*(c + 1)*(13*c - 2)/5
Factor -t**3/4 + 2*t**2 + 187*t/4 - 847/2.
-(t - 11)**2*(t + 14)/4
Let -2*v**3/7 - 4*v**2/7 + 22*v/7 + 24/7 = 0. What is v?
-4, -1, 3
Determine r, given that -2*r**2/7 + 492*r/7 - 70 = 0.
1, 245
Factor -2*l**4/9 + 10*l**3/9 - 2*l**2 + 14*l/9 - 4/9.
-2*(l - 2)*(l - 1)**3/9
Factor -k**3 + 53*k**2 - 775*k + 1875.
-(k - 25)**2*(k - 3)
Solve -2*u**3 - 26*u**2 - 110*u - 150 = 0.
-5, -3
Factor -3*l**4/4 - 4197*l**3/2 - 5888367*l**2/4 - 5863209*l - 5854827.
-3*(l + 2)**2*(l + 1397)**2/4
Determine a, given that -4*a**3 - 960*a**2 - 76800*a - 2048000 = 0.
-80
Find z, given that z**5/2 - 11*z**4/3 - 7*z**3/3 + 68*z**2/3 + 83*z/6 - 7 = 0.
-2, -1, 1/3, 3, 7
Let -k**4/5 + 4*k**3 = 0. Calculate k.
0, 20
Factor 2*c**3 - 200*c**2 + 5000*c.
2*c*(c - 50)**2
Solve 13*j**3/2 + 79*j**2 + 167*j/2 + 11 = 0.
-11, -1, -2/13
Determine k, given that k**3/3 - k**2 + 4/3 = 0.
-1, 2
Suppose i**3/3 - 2*i**2 - 55*i/3 = 0. Calculate i.
-5, 0, 11
Factor 81*l**2 + 9*l - 12.
3*(3*l - 1)*(9*l + 4)
Factor 4*x**2 + 1904*x + 226576.
4*(x + 238)**2
Let -5*n**5/6 - 55*n**4/6 - 30*n**3 - 40*n**2/3 + 160*n/3 = 0. What is n?
-4, 0, 1
Solve 2*h**4 - 3*h**3 - 12*h**2 + 7*h + 6 = 0.
-2, -1/2, 1, 3
Find p, given that 2*p**5 - 8*p**4 - 10*p**3 = 0.
-1, 0, 5
Let r**3/2 + r**2 - 4*r = 0. What is r?
-4, 0, 2
Factor -b**2 - 129*b - 254.
-(b + 2)*(b + 127)
Factor -5*g**3 + 25*g**2.
-5*g**2*(g - 5)
Factor p**3/2 - 3*p**2 + 9*p/2 - 2.
(p - 4)*(p - 1)**2/2
What is r in -148*r**3 - 184*r**2 + 148*r + 184 = 0?
-46/37, -1, 1
Factor 2*m**3/5 + 552*m**2/5 + 41184*m/5 + 418176/5.
2*(m + 12)*(m + 132)**2/5
Suppose -2*h**5/9 - 8*h**4/3 + 506*h**3/3 - 12092*h**2/9 + 2560*h/3 + 2368 = 0. What is h?
-37, -1, 2, 12
Factor -2*x**2 - 4576*x.
-2*x*(x + 2288)
Factor 2*h**2/17 - 288/17.
2*(h - 12)*(h + 12)/17
What is r in 2*r**5/5 - 12*r**4/5 + 18*r**3/5 - 8*r**2/5 = 0?
0, 1, 4
Determine k so that -33*k**4 + 2403*k**3 + 5355*k**2 + 3369*k + 450 = 0.
-1, -2/11, 75
Suppose 2*r**2 + 514*r + 512 = 0. What is r?
-256, -1
Factor -3*s**3/5 - 477*s**2/5 + 3*s/5 + 477/5.
-3*(s - 1)*(s + 1)*(s + 159)/5
Factor 2*k**2/9 + 4