+ 3*l**3/2 + 53*l**2/3 - 50*l/3 + 4 = 0. Calculate l.
-2, 1/2, 2, 6
Factor -2*d**4/7 + 648*d**3/7 - 53132*d**2/7 + 14904*d - 7406.
-2*(d - 161)**2*(d - 1)**2/7
Solve -2*r**5/23 - 2*r**4 - 212*r**3/23 + 1316*r**2/23 + 7414*r/23 - 8470/23 = 0 for r.
-11, -7, 1, 5
Factor 3*m**2 - 198*m - 201.
3*(m - 67)*(m + 1)
Determine k so that -2*k**4 - 40*k**3 - 252*k**2 - 392*k + 686 = 0.
-7, 1
Factor -65*l**3 + 315*l**2 - 210*l - 40.
-5*(l - 4)*(l - 1)*(13*l + 2)
Suppose -x**4/2 - 4*x**3 + 13*x**2 + 84*x - 441/2 = 0. What is x?
-7, 3
Factor 2*h**2 - 4086*h.
2*h*(h - 2043)
Factor -5*x**2 - 55*x - 120.
-5*(x + 3)*(x + 8)
Factor 3*c**4 - 15*c**3 - 117*c**2 + 27*c + 486.
3*(c - 9)*(c - 2)*(c + 3)**2
Solve o**4 + 266*o**3 - 1347*o**2 + 2164*o - 1084 = 0.
-271, 1, 2
Factor -4*c**3/7 + 28*c**2 - 52*c - 564/7.
-4*(c - 47)*(c - 3)*(c + 1)/7
Suppose 2*b**5/11 - 6*b**4/11 - 8*b**3/11 + 24*b**2/11 = 0. What is b?
-2, 0, 2, 3
Factor 125*x**3 + 675*x**2 + 1215*x + 729.
(5*x + 9)**3
Determine d so that 2*d**2 - 32*d + 56 = 0.
2, 14
Let p**3 + 83*p**2 = 0. Calculate p.
-83, 0
Suppose s**5/2 - 19*s**3/2 + 17*s**2 + 6*s - 20 = 0. What is s?
-5, -1, 2
Determine w so that -w**5/5 - 19*w**4/5 + 42*w**3/5 - 2*w**2/5 - 41*w/5 + 21/5 = 0.
-21, -1, 1
Determine h, given that 5*h**5 + 45*h**4 + 90*h**3 - 20*h**2 - 120*h = 0.
-6, -2, 0, 1
Factor -3*l**2/4 - 3*l - 3.
-3*(l + 2)**2/4
Factor -2*n**2 + 62*n.
-2*n*(n - 31)
Suppose -2*p**3 + 26*p**2 + 3840*p - 84600 = 0. Calculate p.
-47, 30
Determine n, given that 3*n**5 - 21*n**4 + 36*n**3 + 12*n**2 - 48*n = 0.
-1, 0, 2, 4
Factor -5*y**3 - 50*y**2 - 85*y - 40.
-5*(y + 1)**2*(y + 8)
Factor f**5 - 7*f**4 - 13*f**3 + 43*f**2 - 24*f.
f*(f - 8)*(f - 1)**2*(f + 3)
Let 3*y**5 - 33*y**4 + 84*y**3 = 0. What is y?
0, 4, 7
Solve 2*r**5/3 + 4*r**4/3 - 2*r**3 - 16*r**2/3 - 8*r/3 = 0 for r.
-2, -1, 0, 2
Solve -3*u**5 - 9*u**4 + 27*u**3 + 69*u**2 - 72*u - 108 = 0 for u.
-3, -1, 2
Suppose 11*l**4/2 + 34*l**3 - 153*l**2/2 - 565*l - 100 = 0. What is l?
-5, -2/11, 4
Factor -3*b**4/5 + 324*b**3/5 - 9372*b**2/5 + 33696*b/5 - 32448/5.
-3*(b - 52)**2*(b - 2)**2/5
Factor 4*y**2 + 8*y - 32.
4*(y - 2)*(y + 4)
Determine v so that -v**3 + 21*v**2 + 22*v = 0.
-1, 0, 22
What is v in -5*v**4 + 1600*v**3 - 192000*v**2 + 10240000*v - 204800000 = 0?
80
What is k in 56*k**3/9 + 76*k**2/9 - 68*k/9 + 8/9 = 0?
-2, 1/7, 1/2
What is x in -4*x**3 - 748*x**2 + 3040*x - 3056 = 0?
-191, 2
Factor 2*v**2 - 54*v + 100.
2*(v - 25)*(v - 2)
Let -5*s**5 + 35*s**4 + 45*s**3 - 35*s**2 - 40*s = 0. Calculate s.
-1, 0, 1, 8
Factor 2*y**2/15 + 4*y/3.
2*y*(y + 10)/15
Let 4*i**3 + 280*i**2 + 268*i - 552 = 0. What is i?
-69, -2, 1
Factor 4*r**4 + 64*r**3 - 1048*r**2 + 3680*r - 2700.
4*(r - 5)**2*(r - 1)*(r + 27)
Suppose w**2 + 2664*w + 1774224 = 0. What is w?
-1332
Factor -3*n**2 - 12846*n - 13751643.
-3*(n + 2141)**2
What is g in 5*g**5 + 975*g**4 - 15*g**3 - 2915*g**2 + 1950*g = 0?
-195, -2, 0, 1
Factor a**4/3 + 5*a**3 + 26*a**2/3.
a**2*(a + 2)*(a + 13)/3
Determine n so that 2*n**2 - 20*n - 288 = 0.
-8, 18
Find m such that 3*m**5 + 390*m**4 + 13434*m**3 + 49524*m**2 + 60291*m + 23814 = 0.
-63, -2, -1
Factor q**3/2 + 821*q**2/2 - q/2 - 821/2.
(q - 1)*(q + 1)*(q + 821)/2
What is c in -81*c**5 - 1620*c**4 - 9585*c**3 - 15090*c**2 - 9180*c - 1944 = 0?
-9, -2/3
Factor -2*m**4 - 10*m**3 + 64*m**2 - 72*m.
-2*m*(m - 2)**2*(m + 9)
Determine t so that -3*t**5 + 15*t**4 - 12*t**3 - 48*t**2 + 96*t - 48 = 0.
-2, 1, 2
Factor -4*i**2/9 + 9992*i/9 - 6240004/9.
-4*(i - 1249)**2/9
Let -28*q**5 - 648*q**4 - 2360*q**3 - 3040*q**2 - 1452*q - 152 = 0. What is q?
-19, -2, -1, -1/7
Suppose -2*q**2/3 - 1154*q/3 - 5720/3 = 0. What is q?
-572, -5
Suppose 3*z**3 - 42*z**2 + 132*z - 120 = 0. What is z?
2, 10
What is d in -d**3/2 + 36*d**2 - 209*d/2 + 69 = 0?
1, 2, 69
Factor -84*g**5 - 172*g**4 - 92*g**3 - 4*g**2.
-4*g**2*(g + 1)**2*(21*g + 1)
Solve 6*w**3/11 - 40*w**2 - 1208*w/11 - 608/11 = 0.
-2, -2/3, 76
Determine a, given that 98*a**4/5 - 1036*a**3/5 + 3018*a**2/5 - 296*a + 40 = 0.
2/7, 5
Find b such that -5*b**4 - 103*b**3 - 298*b**2 + 136*b = 0.
-17, -4, 0, 2/5
Factor 5*c**4 + 10*c**3 + 5*c**2.
5*c**2*(c + 1)**2
Factor 4*r**2 + 8*r - 12.
4*(r - 1)*(r + 3)
Factor 2*v**2/11 + 8*v/11 + 6/11.
2*(v + 1)*(v + 3)/11
Factor 2*z**3 + 1042*z**2 - 8*z - 4168.
2*(z - 2)*(z + 2)*(z + 521)
Find u, given that u**4/2 + 33*u**3 + 1089*u**2/2 = 0.
-33, 0
Factor -b**4 - 13*b**3 - 47*b**2 - 59*b - 24.
-(b + 1)**2*(b + 3)*(b + 8)
Suppose 5*p**2/2 + 230*p + 4650 = 0. Calculate p.
-62, -30
Find v such that 5*v**2/2 - 25*v/2 = 0.
0, 5
Factor x**4 - 158*x**3 - 160*x**2 + 158*x + 159.
(x - 159)*(x - 1)*(x + 1)**2
Find i, given that -5*i**4/4 - 5*i**3/4 + 135*i**2/4 + 405*i/4 + 135/2 = 0.
-3, -1, 6
Factor -40*i**3 + 35*i**2 + 245*i + 30.
-5*(i - 3)*(i + 2)*(8*i + 1)
Let 10*r**4 - 15*r**3 + 5*r = 0. Calculate r.
-1/2, 0, 1
Solve f**3/8 + 7*f**2/4 - 5*f - 16 = 0 for f.
-16, -2, 4
What is h in 4*h**3/7 + 20*h**2 - 292*h/7 + 148/7 = 0?
-37, 1
Determine p, given that p**4/6 - 5*p**3 + 143*p**2/6 + 121*p = 0.
-3, 0, 11, 22
Factor -15*u**2 - u.
-u*(15*u + 1)
Suppose -w**3/3 + 3*w**2 - 8*w/3 = 0. What is w?
0, 1, 8
Determine a, given that -3*a**2 - 73*a - 24 = 0.
-24, -1/3
Factor 2*z**3 + 26*z**2 - 60*z.
2*z*(z - 2)*(z + 15)
What is u in 5*u**2 + 25*u - 70 = 0?
-7, 2
Factor -9*x**4/7 + 57*x**3/7 + 6*x**2.
-3*x**2*(x - 7)*(3*x + 2)/7
Suppose -39*g**5 - 228*g**4 - 159*g**3 + 30*g**2 = 0. Calculate g.
-5, -1, 0, 2/13
Factor -z**5 - 87*z**4 - 1935*z**3 - 1849*z**2.
-z**2*(z + 1)*(z + 43)**2
Find k, given that 26*k**4 - 22*k**3 - 30*k**2 + 22*k + 4 = 0.
-1, -2/13, 1
Determine m, given that -3*m**2 + 30594*m/5 + 2448 = 0.
-2/5, 2040
Find f, given that 4*f**3/5 + 12*f**2 + 192*f/5 - 256/5 = 0.
-8, 1
Let 3*l**2/2 - 5457*l + 9926283/2 = 0. Calculate l.
1819
Factor -2*y**3/3 - y**2 + 17*y/3 - 4.
-(y - 1)*(y + 4)*(2*y - 3)/3
Suppose 180*y**3 + 2820*y**2 - 955*y + 80 = 0. Calculate y.
-16, 1/6
Suppose -3*z**4 + 6*z**3 + 3*z**2 - 6*z = 0. What is z?
-1, 0, 1, 2
Determine o so that 2*o**2/9 + 2056*o/9 + 528392/9 = 0.
-514
Solve -10*c**3/17 - 56*c**2/17 + 38*c/17 + 84/17 = 0.
-6, -1, 7/5
Suppose -2*k**3 - 722*k**2 + 728*k + 1448 = 0. Calculate k.
-362, -1, 2
Determine g so that -9*g**3 - 177*g**2 - 114*g = 0.
-19, -2/3, 0
Factor 4*p**4 - 8*p**3 - 12*p**2 + 32*p - 16.
4*(p - 2)*(p - 1)**2*(p + 2)
Determine f so that -2*f**5/7 + 278*f**4/7 - 1360*f**3 - 1400*f**2 = 0.
-1, 0, 70
Factor -k**2 - 3388*k - 2869636.
-(k + 1694)**2
Suppose -2*s**2 + 40*s + 952 = 0. Calculate s.
-14, 34
Solve 5*f**2 + 1355*f - 1360 = 0 for f.
-272, 1
Determine z, given that z**5/4 + z**4/2 - 7*z**3/4 + z**2 = 0.
-4, 0, 1
Factor -n**4/4 + 3*n**3/4 - n**2/4 - 3*n/4 + 1/2.
-(n - 2)*(n - 1)**2*(n + 1)/4
Factor -s**2/3 - 16*s/3 - 13.
-(s + 3)*(s + 13)/3
Determine v, given that 5*v**5/9 + 26*v**4/9 + 50*v**3/9 + 44*v**2/9 + 17*v/9 + 2/9 = 0.
-2, -1, -1/5
Find n, given that 4*n**3/9 + 26*n**2/9 + 46*n/9 + 8/3 = 0.
-4, -3/2, -1
Determine n so that -n**2/10 - 17*n/10 - 21/5 = 0.
-14, -3
Suppose -3*c**2 + 282*c - 279 = 0. Calculate c.
1, 93
Factor 2*a**3/9 - 238*a**2/9 + 236*a/9.
2*a*(a - 118)*(a - 1)/9
Find s, given that 3*s**5/7 - 39*s**4/7 + 33*s**3/7 + 57*s**2 - 288*s/7 - 1188/7 = 0.
-2, 3, 11
Solve w**2/3 - 22*w/3 + 121/3 = 0 for w.
11
Solve 2*s**5/9 + 2*s**4 - 134*s**3/9 + 94*s**2/9 + 44*s/3 - 112/9 = 0 for s.
-14, -1, 1, 4
Determine n so that 3*n**2/4 + 33*n/2 + 30 = 0.
-20, -2
Let -176*z**5 - 60*z**4 - 4*z**3 = 0. Calculate z.
-1/4, -1/11, 0
Factor -3*h**3/8 + 9*h**2/2 + 585*h/8 + 825/4.
-3*(h - 22)*(h + 5)**2/8
Solve u**4 + 8*u**3 - 58*u**2 + 88*u - 39 = 0.
-13, 1, 3
Factor -2*c**2/9 - 124*c/9 + 14.
-2*(c - 1)*(c + 63)/9
Factor 4*p**4/5 + 2548*p**3/5 + 106812*p**2 + 7063180*p - 63605600.
4*(p - 8)*(p + 215)**3/5
Factor -w**2 - 27*w - 50.
-(w + 2)*(w + 25)
Suppose -16*w**5 - 76*w**4 - 121*w**3/4 + 157*w**2/2 + 95*w/4 - 25 = 0. Calculate w.
-4, -1, 5/8
Suppose -2*r**2 - 12*r + 14 = 0. Calculate r.
-7, 1
Factor -5*x**2 + 195*x - 1350.
-5*(x - 30)*(x - 9)
Find r such that -20*r**3 - 795*r**2 - 7800*r + 2000 = 0.
-20, 1/4
What is k in 7*k**2 - 2826*k - 808 = 0?
-2/7, 404
Suppose -r**3 - 12*r**2 - 23*r + 36 = 0. What is r?
-9, -4, 1
Factor -2*t**2 + 588*t - 43218.
-2*(t - 147)**2
Factor 14*p**3/