026*m**4 + 28636*m**3/3 + 12046*m**2/3 - 1504*m/3 + 8/3 = 0 for m.
-1, 2/359, 2/21
Let 14*b**4/3 - 22*b**3/3 + 2*b**2/3 + 2*b = 0. Calculate b.
-3/7, 0, 1
Factor -2*q**3/9 + 82*q**2/9 - 146*q/3 + 70.
-2*(q - 35)*(q - 3)**2/9
Factor 4*t**3/3 - 80*t**2 - 1876*t/3.
4*t*(t - 67)*(t + 7)/3
Find t, given that 12*t**3 - 51*t**2 + 12*t = 0.
0, 1/4, 4
Factor 2*d**3/7 - 184*d**2/7 - 566*d/7 - 380/7.
2*(d - 95)*(d + 1)*(d + 2)/7
What is f in 3*f**2/5 - 282*f/5 + 216 = 0?
4, 90
Factor 60*w**2 + 112*w + 52.
4*(w + 1)*(15*w + 13)
Factor 2*f**2/25 + 158*f/25 - 32/5.
2*(f - 1)*(f + 80)/25
Find u such that 4*u**4 + 304*u**3 + 6072*u**2 + 11248*u + 5476 = 0.
-37, -1
Factor 40*a**4 + 305*a**3 + 400*a**2 + 45*a - 90.
5*(a + 1)**2*(a + 6)*(8*a - 3)
Determine r so that -3*r**4 - 3*r**3 + 9*r**2 + 3*r - 6 = 0.
-2, -1, 1
Factor -2*n**5/21 + 6*n**4/7 - 20*n**3/7 + 92*n**2/21 - 22*n/7 + 6/7.
-2*(n - 3)**2*(n - 1)**3/21
Solve o**5/6 - 5*o**4/6 - o**3/6 + 5*o**2/6 = 0.
-1, 0, 1, 5
Let g**5/2 - 15*g**4/2 - 37*g**3/2 + 43*g**2/2 + 66*g + 34 = 0. What is g?
-2, -1, 2, 17
Find a, given that a**3 - 23*a**2 + 22*a = 0.
0, 1, 22
Factor 2*h**5 + 12*h**4 + 16*h**3 - 12*h**2 - 18*h.
2*h*(h - 1)*(h + 1)*(h + 3)**2
Factor 2*t**2/3 - 746*t/3 + 248.
2*(t - 372)*(t - 1)/3
Let 2*a**3/7 - 58*a**2/7 + 108*a/7 = 0. What is a?
0, 2, 27
Suppose -2*v**5 - 6*v**4 + 12*v**3 + 56*v**2 + 48*v = 0. Calculate v.
-2, 0, 3
Find f, given that 3*f**4/4 - 27*f**3/4 + 21*f**2/2 = 0.
0, 2, 7
Determine o so that 81*o**3/2 + 657*o**2/4 - 79*o + 9 = 0.
-9/2, 2/9
Find x, given that 184*x**2/3 - 22*x/3 - 2 = 0.
-3/23, 1/4
Factor -y**2/4 - 589*y - 346921.
-(y + 1178)**2/4
Solve 2*p**2/3 + 112*p/3 + 1568/3 = 0 for p.
-28
Let -2*p**4/7 - 8*p**3/7 - 4*p**2/7 + 8*p/7 + 6/7 = 0. Calculate p.
-3, -1, 1
Determine v so that -5*v**3 + 125*v**2 - 120*v = 0.
0, 1, 24
Suppose -p**2 + 6*p - 5 = 0. Calculate p.
1, 5
Determine f, given that -7*f**2/2 - 5*f/2 + 6 = 0.
-12/7, 1
Factor 96*h**2/5 - 2160*h + 60750.
6*(4*h - 225)**2/5
Determine g, given that g**3 - 44*g**2 + 76*g + 336 = 0.
-2, 4, 42
Find y such that 5*y**3 - 1490*y**2 + 106400*y + 693120 = 0.
-6, 152
Suppose 2*f**2/5 + 3156*f/5 + 6304/5 = 0. What is f?
-1576, -2
Suppose -3*q**5/5 + 3*q**4/5 + 27*q**3/5 - 27*q**2/5 = 0. Calculate q.
-3, 0, 1, 3
Suppose -3*l**3 - 564*l**2 - 1119*l - 558 = 0. Calculate l.
-186, -1
Factor 2*y**4/3 + 6*y**3 + 50*y**2/3 + 18*y + 20/3.
2*(y + 1)**2*(y + 2)*(y + 5)/3
Factor -4*n**2 + 88*n - 420.
-4*(n - 15)*(n - 7)
Let -2*d**2/3 - 8*d/15 + 6/5 = 0. Calculate d.
-9/5, 1
Factor -5*u**2 + 680*u + 2085.
-5*(u - 139)*(u + 3)
Suppose 2*r**3/5 + 116*r**2 + 8410*r = 0. Calculate r.
-145, 0
Factor i**5 - 19*i**3 - 34*i**2 + 12*i + 40.
(i - 5)*(i - 1)*(i + 2)**3
What is k in -k**3 - 8*k**2 - 19*k - 12 = 0?
-4, -3, -1
Factor z**2/7 - 179*z/7 - 78.
(z - 182)*(z + 3)/7
Factor -2*g**2/5 + 12*g/5 + 54/5.
-2*(g - 9)*(g + 3)/5
Factor 2*o**3/7 + 46*o**2/7 + 86*o/7 + 6.
2*(o + 1)**2*(o + 21)/7
Suppose 3*c**5 + 39*c**4 + 174*c**3 + 318*c**2 + 255*c + 75 = 0. What is c?
-5, -1
Factor y**3/4 - 1897*y**2/4 + 224200*y + 676875.
(y - 950)**2*(y + 3)/4
Suppose -10*k**4 - 28*k**3 + 66*k**2 + 68*k - 16 = 0. Calculate k.
-4, -1, 1/5, 2
Factor 2*v**2 + 256*v + 504.
2*(v + 2)*(v + 126)
What is s in -5*s**2 + 1230*s + 1235 = 0?
-1, 247
Suppose 2*u**3/5 + 178*u**2/5 - 18*u/5 - 1602/5 = 0. What is u?
-89, -3, 3
Let -j**4/4 + 9*j**3/2 + 19*j**2/4 = 0. Calculate j.
-1, 0, 19
Solve -16*v**5 - 68*v**4 + 64*v**3 + 20*v**2 = 0.
-5, -1/4, 0, 1
Factor -2*g**2 - 174*g.
-2*g*(g + 87)
Determine s so that -s**5/10 + 32*s**4/5 + 1059*s**3/10 + 1343*s**2/5 - 880*s + 2496/5 = 0.
-8, 1, 78
Factor z**4/8 - 3*z**3/4 + 9*z**2/8 + z/2 - 3/2.
(z - 3)*(z - 2)**2*(z + 1)/8
Factor 35*y**2 + 1495*y - 430.
5*(y + 43)*(7*y - 2)
Determine v so that -2*v**5/9 + 10*v**4/9 + 4*v**3 - 40*v**2/9 - 112*v/9 = 0.
-2, 0, 2, 7
Factor 188*p**3/7 - 556*p**2/7 + 352*p/7 + 16/7.
4*(p - 2)*(p - 1)*(47*p + 2)/7
Factor -s**2/2 + 291*s - 84681/2.
-(s - 291)**2/2
Suppose -474*h**2/23 + 478*h/23 - 4/23 = 0. What is h?
2/237, 1
Let -2*v**3/15 - 82*v**2/5 - 64*v - 952/15 = 0. Calculate v.
-119, -2
Find t such that -2*t**2/9 + 16*t/3 + 50/9 = 0.
-1, 25
Solve -36*n**5/5 + 256*n**4/5 + 124*n**3 - 72*n**2/5 = 0.
-2, 0, 1/9, 9
Let 2*n**3/13 - 32*n**2/13 - 114*n/13 = 0. What is n?
-3, 0, 19
What is b in -169*b**2 - 182*b - 49 = 0?
-7/13
Suppose -3*b**2/7 + 1437*b/7 - 2862/7 = 0. What is b?
2, 477
What is x in x**3/9 + 61*x**2/9 + 232*x/9 + 76/3 = 0?
-57, -2
Let 5*o**3 + 355*o**2 + 350*o = 0. What is o?
-70, -1, 0
Suppose -b**5/4 + 13*b**4 - 101*b**3/4 + 25*b**2/2 = 0. Calculate b.
0, 1, 50
Let -2*d**5/9 - 14*d**4/9 - 10*d**3/9 + 14*d**2/9 + 4*d/3 = 0. What is d?
-6, -1, 0, 1
Determine i so that -2*i**3/5 - 28*i**2/5 - 118*i/5 - 28 = 0.
-7, -5, -2
Factor -2*y**3/5 - 116*y**2/5 - 226*y/5 - 112/5.
-2*(y + 1)**2*(y + 56)/5
Determine i so that 3*i**2 + 777*i + 774 = 0.
-258, -1
Factor 100*z**4 - 220*z**3 + 156*z**2 - 36*z.
4*z*(z - 1)*(5*z - 3)**2
Let 2*n**5 - 17*n**4 - 45*n**3 + 118*n**2 + 308*n + 120 = 0. What is n?
-2, -1/2, 3, 10
Factor -5*c**3 + 160*c**2 - 445*c + 290.
-5*(c - 29)*(c - 2)*(c - 1)
Let -24*g**4/11 + 90*g**3/11 + 42*g**2/11 - 72*g/11 = 0. Calculate g.
-1, 0, 3/4, 4
Factor 3*v**4 + 33*v**3 - 165*v**2 + 219*v - 90.
3*(v - 2)*(v - 1)**2*(v + 15)
Solve 4*i**4 + 76*i**3 - 180*i**2 - 252*i = 0 for i.
-21, -1, 0, 3
Let -3*q**5/5 - 258*q**4/5 - 756*q**3/5 - 150*q**2 - 249*q/5 = 0. What is q?
-83, -1, 0
Factor 2*m**5/7 - 216*m**4/7 + 7920*m**3/7 - 86400*m**2/7 - 972000*m/7 + 19440000/7.
2*(m - 30)**4*(m + 12)/7
Suppose 9*u**4/2 - 339*u**3 + 1094*u**2 - 1012*u + 288 = 0. Calculate u.
2/3, 2, 72
Suppose y**4 + 2*y**3 - 7*y**2 - 20*y - 12 = 0. What is y?
-2, -1, 3
Factor -2*s**5 - 160*s**4 - 3200*s**3.
-2*s**3*(s + 40)**2
Suppose -3*p**4 + 12*p**3 + 75*p**2 - 48*p - 252 = 0. Calculate p.
-3, -2, 2, 7
Suppose 15*g**2 - 14*g - 1 = 0. What is g?
-1/15, 1
Factor -n**2 - 2878*n - 2070721.
-(n + 1439)**2
Factor -4*y**2 - 12*y.
-4*y*(y + 3)
Let x**2 + 658*x + 108241 = 0. What is x?
-329
Determine s, given that 5*s**3 - 865*s**2 + 30800*s - 312180 = 0.
22, 129
Factor 3*p**4/5 - 402*p**3/5 + 399*p**2/5.
3*p**2*(p - 133)*(p - 1)/5
Factor -13*n**2/4 + 187*n/4 + 30.
-(n - 15)*(13*n + 8)/4
Determine p so that 4*p**3 + 40*p**2 - 44*p = 0.
-11, 0, 1
Determine l, given that 7*l**3/4 - 159*l**2/4 + 27*l + 11 = 0.
-2/7, 1, 22
Factor 4*r**2 - 776*r + 37636.
4*(r - 97)**2
Factor -r**5 + 30*r**4 - 308*r**3 + 1170*r**2 - 891*r.
-r*(r - 11)*(r - 9)**2*(r - 1)
Factor -k**4/8 + 35*k**3/8 - 36*k**2 + 135*k/2 + 108.
-(k - 24)*(k - 6)**2*(k + 1)/8
Let -132*b**4 + 339*b**3 - 99*b**2 - 96*b - 12 = 0. Calculate b.
-1/4, -2/11, 1, 2
Factor l**4/9 + 58*l**3/9 + 299*l**2/3 + 1624*l/9 + 784/9.
(l + 1)**2*(l + 28)**2/9
Factor -3*h**3/7 - 1926*h**2/7 - 309123*h/7.
-3*h*(h + 321)**2/7
Factor 2*f**3 + 46*f**2 + 182*f - 1014.
2*(f - 3)*(f + 13)**2
Suppose 14*z**3 + 374*z**2 + 1656*z - 504 = 0. What is z?
-21, -6, 2/7
Factor -3*u**3 + 24*u**2 + 807*u - 3420.
-3*(u - 19)*(u - 4)*(u + 15)
Factor 5*w**3 + 775*w**2 - 1585*w - 2355.
5*(w - 3)*(w + 1)*(w + 157)
Determine y, given that -126*y**4/13 - 368*y**3/13 - 218*y**2/13 + 32*y/13 + 8/13 = 0.
-2, -1, -1/7, 2/9
Suppose 3*k**3 + 18*k**2 - 111*k - 270 = 0. What is k?
-9, -2, 5
Factor 2*o**4 - 18*o**3 - 8*o**2 + 312*o - 288.
2*(o - 6)**2*(o - 1)*(o + 4)
Find i such that -4*i**5 - 72*i**4 - 388*i**3 - 576*i**2 - 256*i = 0.
-8, -1, 0
What is k in -4*k**5/7 - 60*k**4/7 - 164*k**3/7 + 204*k**2/7 + 792*k/7 = 0?
-11, -3, 0, 2
Determine s, given that -2*s**4/11 - 20*s**3/11 - 50*s**2/11 = 0.
-5, 0
Factor -f**3/5 - 8*f**2/5 + 31*f/5 - 22/5.
-(f - 2)*(f - 1)*(f + 11)/5
Suppose -5*k**3 + 20*k**2 + 5*k - 20 = 0. What is k?
-1, 1, 4
Determine y so that 3*y**3 + 468*y**2/7 + 2148*y/7 + 576/7 = 0.
-16, -6, -2/7
Factor -k**2 - 846*k + 1696.
-(k - 2)*(k + 848)
Factor -20*i**3 - 668*i**2 - 264*i.
-4*i*(i + 33)*(5*i + 2)
Let -y**2 + 634*y + 635 = 0. Calculate y.
-1, 635
Factor -2*x**3 + 12*x**2 - 22*x + 12.
-2*(x - 3)*(x - 2)*(x - 1)
Factor -4*t**5 - 24*t**4 - 56*t**3 - 64*t**2 - 36*t - 8.
-4*(t + 1)**4*(t + 2)
Solve 5*i**5 + 35*i**4 + 65*i**3 + 5*i**2 - 70*i - 40 = 0 for i.
-4, -2, -1, 1
Determine y, given that 3*y**3/5 - 217*y**2/5