w**4/2 - 81*w**3/2 = 0.
-81, 0
Factor -m**3/2 - m**2/2 + 5*m - 4.
-(m - 2)*(m - 1)*(m + 4)/2
Factor -2*a**2/9 + 794*a/9 - 88.
-2*(a - 396)*(a - 1)/9
Factor x**3 + 3*x**2 - x - 3.
(x - 1)*(x + 1)*(x + 3)
What is y in -y**4/5 - 302*y**3/5 - 23101*y**2/5 - 9060*y - 4500 = 0?
-150, -1
Factor l**4 + 2*l**3 - 12*l**2 - 18*l + 27.
(l - 3)*(l - 1)*(l + 3)**2
Suppose -5*k**4 - 220*k**3 - 2425*k**2 - 10250*k - 15000 = 0. What is k?
-30, -5, -4
Solve 6*g**2/5 + 318*g/5 = 0.
-53, 0
Factor -4*l**5 - 32*l**4/5 + 16*l**3/5.
-4*l**3*(l + 2)*(5*l - 2)/5
Let 2*i**3/3 + 46*i**2/3 + 28*i = 0. Calculate i.
-21, -2, 0
Factor 2*k**3 - 126*k**2 + 124*k.
2*k*(k - 62)*(k - 1)
Factor -q**4/11 - 12*q**3/11 + 42*q**2/11 - 4*q + 15/11.
-(q - 1)**3*(q + 15)/11
Factor -z**5/5 + 2*z**4/5 + 2*z**3/5 - 8*z**2/5 + 7*z/5 - 2/5.
-(z - 1)**4*(z + 2)/5
Determine o, given that -32*o**4/3 - 46*o**3 - 24*o**2 + 182*o/3 + 20 = 0.
-3, -2, -5/16, 1
Let -3*i**5 - 234*i**4 + 246*i**3 + 708*i**2 - 243*i - 474 = 0. Calculate i.
-79, -1, 1, 2
Factor -4*o**4 + 11176*o**3 - 7784052*o**2 - 31270448*o - 31315216.
-4*(o - 1399)**2*(o + 2)**2
Find j such that j**5/3 - 7*j**4/3 + 5*j**3 - 3*j**2 = 0.
0, 1, 3
Let l**4 - 2*l**3 + 2*l - 1 = 0. What is l?
-1, 1
Factor -k**5/8 + 7*k**4/4 - 67*k**3/8 + 73*k**2/4 - 37*k/2 + 7.
-(k - 7)*(k - 2)**3*(k - 1)/8
Suppose 2*u**4/9 - 8*u**3/3 - 28*u**2/9 + 8*u/3 + 26/9 = 0. Calculate u.
-1, 1, 13
Solve 7*d**4/4 - 3*d**3/4 - 11*d**2/4 + 3*d/4 + 1 = 0 for d.
-1, -4/7, 1
Let -8*s**5/11 - 34*s**4/11 + 32*s**3/11 + 10*s**2/11 = 0. Calculate s.
-5, -1/4, 0, 1
Factor 2*n**2 + 722*n + 2856.
2*(n + 4)*(n + 357)
Factor 3*l**4 + 9*l**3 - 3*l**2 - 9*l.
3*l*(l - 1)*(l + 1)*(l + 3)
Factor -2*o**2/15 - 76*o/15.
-2*o*(o + 38)/15
Determine j so that 4*j**4 - 12*j**3 - 80*j**2 + 192*j + 256 = 0.
-4, -1, 4
Determine d, given that d**4/2 + 27*d**3/2 - 87*d**2/2 + 89*d/2 - 15 = 0.
-30, 1
Find d such that 9*d**4/4 - 93*d**3 - 339*d**2/2 + 357*d - 387/4 = 0.
-3, 1/3, 1, 43
Factor -l**5/5 + 2*l**4 - 36*l**3/5 + 58*l**2/5 - 43*l/5 + 12/5.
-(l - 4)*(l - 3)*(l - 1)**3/5
Factor 3*f**4/4 - 69*f**3/4 + 333*f**2/4 + 405*f/4.
3*f*(f - 15)*(f - 9)*(f + 1)/4
Determine p, given that 5*p**2 - 30*p - 135 = 0.
-3, 9
Factor -6*t**4 + 44*t**3 + 32*t**2.
-2*t**2*(t - 8)*(3*t + 2)
Solve 3*o**5/2 + 3*o**4/2 - 15*o**3/2 - 3*o**2/2 + 12*o - 6 = 0.
-2, 1
Determine a, given that 2*a**5/7 + 20*a**4/7 + 72*a**3/7 + 108*a**2/7 + 54*a/7 = 0.
-3, -1, 0
Determine u so that -u**4 + 8*u**3 - 15*u**2 - 8*u + 16 = 0.
-1, 1, 4
Factor 5*d**3 + 55*d**2 + 180*d + 180.
5*(d + 2)*(d + 3)*(d + 6)
Determine i, given that -4*i**4 - 36*i**3 - 56*i**2 = 0.
-7, -2, 0
Factor w**3 + 47*w**2 - 433*w + 385.
(w - 7)*(w - 1)*(w + 55)
Let 20*i**2 - 425*i + 2250 = 0. Calculate i.
10, 45/4
Let c**2/8 - 51*c/8 - 81/4 = 0. What is c?
-3, 54
Determine i, given that 68*i**4/5 - 484*i**3/5 + 464*i**2/5 - 48*i/5 = 0.
0, 2/17, 1, 6
Find v such that 25*v**4 + 910*v**3 + 4385*v**2 + 6260*v + 1860 = 0.
-31, -3, -2, -2/5
Find w such that 5*w**4 - 45*w**3 + 70*w**2 + 120*w = 0.
-1, 0, 4, 6
What is p in -16*p**5/11 - 72*p**4/11 + 13*p**3 - 12*p**2/11 - 37*p/11 - 6/11 = 0?
-6, -1/4, 1
Find n, given that -2*n**2 - 640*n - 51200 = 0.
-160
What is a in a**5/4 + 198*a**4 + 207489*a**3/4 + 8777335*a**2/2 - 27754041*a + 42347466 = 0?
-266, 3
Find u, given that -u**3 - 24*u**2 + u + 24 = 0.
-24, -1, 1
What is z in -z**4/3 + 22*z**3/3 + 100*z**2/3 + 104*z/3 = 0?
-2, 0, 26
What is f in -f**5/4 + 547*f**4/4 - 38077*f**3/2 + 184411*f**2/2 - 215445*f/4 - 660969/4 = 0?
-1, 3, 271
Solve -y**2 + 41*y - 40 = 0 for y.
1, 40
Let 5*g**3 - 11745*g**2 + 6903120*g - 6891380 = 0. What is g?
1, 1174
Factor -4*k**4 - 8*k**3 + 116*k**2 + 120*k.
-4*k*(k - 5)*(k + 1)*(k + 6)
What is n in 220*n**2 + 876*n - 16 = 0?
-4, 1/55
What is j in -3*j**4 - 59*j**3 - 35*j**2 + 59*j + 38 = 0?
-19, -1, -2/3, 1
Suppose -2*s**3 + 16*s**2 + 38*s + 20 = 0. What is s?
-1, 10
Factor u**4/2 - u**2/2.
u**2*(u - 1)*(u + 1)/2
Factor 3*o**2 - 1188*o - 1191.
3*(o - 397)*(o + 1)
Let -11*c**5/4 + 21*c**4/4 + 13*c**3/4 - 21*c**2/4 - c/2 = 0. Calculate c.
-1, -1/11, 0, 1, 2
Solve -4*q**2 - 32*q = 0.
-8, 0
Determine b so that -2*b**3/15 + 16*b**2/15 + 118*b/15 + 52/5 = 0.
-3, -2, 13
Factor 3*m**3/2 + 39*m**2 + 627*m/2 + 726.
3*(m + 4)*(m + 11)**2/2
Factor 5*z**3 - 35*z**2 - 245*z + 275.
5*(z - 11)*(z - 1)*(z + 5)
Solve -15*x**3 - 55*x**2 - 60*x - 20 = 0 for x.
-2, -1, -2/3
Factor 2*f**2 + 322*f - 3784.
2*(f - 11)*(f + 172)
Solve -2*k**5/11 + 188*k**4/11 + 1174*k**3/11 + 2576*k**2/11 + 2392*k/11 + 800/11 = 0.
-2, -1, 100
Find q, given that 700*q**3 + 1392*q**2 + 684*q - 8 = 0.
-1, 2/175
Find q such that 8*q**3 + 6*q**2/7 - 32*q - 24/7 = 0.
-2, -3/28, 2
Factor -j**2/3 + 16*j/3 + 12.
-(j - 18)*(j + 2)/3
Suppose -2*f**5/5 + 4*f**4/5 + 116*f**3/5 + 104*f**2/5 - 114*f/5 - 108/5 = 0. What is f?
-6, -1, 1, 9
Factor 28*c**2/3 - 46*c - 10/3.
2*(c - 5)*(14*c + 1)/3
Factor -j**4 - 12*j**3 + 227*j**2 + 3198*j + 5408.
-(j - 16)*(j + 2)*(j + 13)**2
Let -i**3/2 + 79*i**2/2 - 699*i/2 + 621/2 = 0. Calculate i.
1, 9, 69
Factor 5*n**5 + 20*n**4 - 185*n**3 + 340*n**2 - 180*n.
5*n*(n - 2)**2*(n - 1)*(n + 9)
Solve -27*f**5/4 - 9*f**4 + 177*f**3/4 + 207*f**2/2 + 75*f + 18 = 0 for f.
-2, -1, -2/3, 3
What is r in -9*r**3/2 - 249*r**2/2 + 1980*r - 6426 = 0?
-119/3, 6
Let 10*w**5/9 + 8*w**4/3 - 178*w**3/9 + 24*w**2 - 8*w = 0. Calculate w.
-6, 0, 3/5, 1, 2
Factor 2*m**2/15 - 1644*m/5 + 9856/15.
2*(m - 2464)*(m - 2)/15
Factor -8*l**3 - 26*l**2 + 26*l + 8.
-2*(l - 1)*(l + 4)*(4*l + 1)
Factor x**4/4 - 17*x**3/4 - 27*x**2/4 + 405*x/4 + 459/2.
(x - 17)*(x - 6)*(x + 3)**2/4
Factor 3*v**4/2 - 27*v**3/2 - 117*v**2 - 258*v - 180.
3*(v - 15)*(v + 2)**3/2
Factor -c**4/6 - 35*c**3/6 + 37*c**2/6 + 35*c/6 - 6.
-(c - 1)**2*(c + 1)*(c + 36)/6
Factor -c**3/4 - 3*c**2/2 - 11*c/4 - 3/2.
-(c + 1)*(c + 2)*(c + 3)/4
Solve 45*u**4 + 1160*u**3 + 4825*u**2 - 7430*u + 1400 = 0.
-20, -7, 2/9, 1
Factor k**5/8 + k**4/8 - k**3/4 - k**2/4 + k/8 + 1/8.
(k - 1)**2*(k + 1)**3/8
Factor -3*k**4 + 186*k**3 - 2679*k**2 - 6720*k + 9216.
-3*(k - 32)**2*(k - 1)*(k + 3)
Solve 4*i**2 + 1368*i - 2752 = 0 for i.
-344, 2
Factor 6*n**3 - 56*n**2 + 66*n - 16.
2*(n - 8)*(n - 1)*(3*n - 1)
Let 32*c**5/3 + 2384*c**4 + 134966*c**3 + 584752*c**2/3 - 122914*c + 16428 = 0. What is c?
-111, -2, 1/4
Find f such that 5*f**5 + 120*f**4 - 300*f**3 - 950*f**2 + 2295*f - 1170 = 0.
-26, -3, 1, 3
Solve 2*o**5 + 20*o**4 + 46*o**3 + 28*o**2 = 0 for o.
-7, -2, -1, 0
Let -2*z**4/19 - 92*z**3/19 - 1146*z**2/19 - 2024*z/19 - 968/19 = 0. What is z?
-22, -1
Find r such that 20*r**5 - 25*r**4 + 5*r**3 = 0.
0, 1/4, 1
Factor -5*p**4/4 + 225*p**3/4 + 115*p**2/2.
-5*p**2*(p - 46)*(p + 1)/4
Solve k**5 - 37*k**4 + 101*k**3 + 37*k**2 - 102*k = 0.
-1, 0, 1, 3, 34
Find g, given that 8*g**4 - 19*g**3 - 18*g**2 + 9*g = 0.
-1, 0, 3/8, 3
Factor 2*i**2/9 + 218*i/9 - 220/9.
2*(i - 1)*(i + 110)/9
Let 2*o**2 + 4*o = 0. What is o?
-2, 0
Find l such that 5*l**2 - 135*l - 140 = 0.
-1, 28
Factor -5*u**4 - 30*u**3 - 20*u**2 + 30*u + 25.
-5*(u - 1)*(u + 1)**2*(u + 5)
Find i such that -3*i**3 + 255*i**2 + 519*i + 261 = 0.
-1, 87
Let 2*x**2 - 608*x = 0. Calculate x.
0, 304
Factor -2*o**3/9 + 10*o**2/3 - 46*o/9 - 26/3.
-2*(o - 13)*(o - 3)*(o + 1)/9
Solve 5*x**2 + 80*x - 180 = 0.
-18, 2
Solve 2*n**3 - 6*n**2 + 6*n - 2 = 0 for n.
1
Factor -2*f**2/15 - 64*f/3 - 2560/3.
-2*(f + 80)**2/15
Determine w, given that -2*w**5/9 + 14*w**4/9 + 16*w**3/9 = 0.
-1, 0, 8
Determine i, given that 8*i**5/9 - 88*i**4/9 - 34*i**3/3 + 64*i**2/9 + 94*i/9 + 8/3 = 0.
-1, -1/2, 1, 12
Let -42*a**4/5 - 261*a**3/5 - 78*a**2 - 72*a/5 = 0. What is a?
-4, -2, -3/14, 0
Factor -x**2 + 1677*x.
-x*(x - 1677)
Factor 14*x**2/13 + 744*x/13 + 106/13.
2*(x + 53)*(7*x + 1)/13
Find g, given that 162*g**2/7 - 6*g - 4/7 = 0.
-2/27, 1/3
Determine j so that 147*j**4/4 - 13041*j**3/2 + 1149447*j**2/4 + 165807*j + 23763 = 0.
-2/7, 89
Factor 5*v**4 + 125*v**3 - 4610*v**2 - 113120*v + 117600.
5*(v - 30)*(v - 1)*(v + 28)**2
Solve 4*h**3 - 448*h**2 - 4*h + 448 = 0.
-1, 1, 112
Solve 3*u**4 + 294*u**3 + 7491*u**2 + 14112*u + 6912 = 0.
-48, -1
Factor -7*m**4 + 34*m**3 - 52*m**2 + 24*m.
-m*(m - 2)**2*(7*m - 6)
Suppose s**5 + 8*s**4/3 - 37*s**3 + 44*s**2 - 32*s/3 = 0. Calculate s.
-8, 0, 1/3, 