**3*(m + 1)*(3*m + 1)
Factor 3*r**3 - 3*r**2 - 6*r.
3*r*(r - 2)*(r + 1)
Let 22*q**4/3 + 70*q**3/3 - 40*q**2 - 200*q/3 - 32/3 = 0. What is q?
-4, -1, -2/11, 2
Suppose -4*v**4 - 91*v**3 + 119*v**2 - 24*v = 0. What is v?
-24, 0, 1/4, 1
Suppose w**2/2 + 346*w + 59858 = 0. What is w?
-346
Solve -100*o**5 + 420*o**4 - 176*o**3 - 1424*o**2 + 2304*o - 1024 = 0 for o.
-2, 1, 8/5, 2
Let -4*v**4 + 4*v**2 = 0. Calculate v.
-1, 0, 1
What is n in -16*n**2 + 38*n + 54 = 0?
-1, 27/8
Factor 5*n**5 - 2*n**4 - 60*n**3 + 104*n**2 - 32*n.
n*(n - 2)**2*(n + 4)*(5*n - 2)
Find y such that -3*y**5/4 - 21*y**4/4 + 9*y**3/2 + 123*y**2/2 - 15*y/4 - 225/4 = 0.
-5, -1, 1, 3
Determine k so that 2*k**5 - 12*k**4 - 6*k**3 + 40*k**2 - 24*k = 0.
-2, 0, 1, 6
Factor 4*x**3/5 - 948*x**2/5 - 4*x/5 + 948/5.
4*(x - 237)*(x - 1)*(x + 1)/5
Find i, given that -2*i**3 + 108*i**2 + 474*i - 580 = 0.
-5, 1, 58
Factor k**5/12 - k**4/12 - 5*k**3/12 + k**2/12 + 2*k/3 + 1/3.
(k - 2)**2*(k + 1)**3/12
Let -36*n**4 + 172*n**3 + 1192*n**2 + 1552*n + 288 = 0. Calculate n.
-2, -2/9, 9
Factor -4*a**2 + 304*a - 1932.
-4*(a - 69)*(a - 7)
What is f in -3*f**4/2 + 9*f**3/2 + 24*f**2 + 18*f = 0?
-2, -1, 0, 6
What is k in -212*k**3/3 - 136*k**2/3 = 0?
-34/53, 0
Find r such that 3*r**4 + 10*r**3 - 56*r**2 - 160*r + 128 = 0.
-4, 2/3, 4
Factor 5*m**2 + 3920*m.
5*m*(m + 784)
Solve -3*x**4 - 12*x**3 + 18*x**2 + 12*x - 15 = 0 for x.
-5, -1, 1
Suppose -b**2/4 + 19*b/4 - 17/2 = 0. Calculate b.
2, 17
Let 61*z**2 + 57*z - 4 = 0. What is z?
-1, 4/61
Suppose 4*s**4 - 72*s**3 + 192*s**2 - 184*s + 60 = 0. Calculate s.
1, 15
Factor 4*i**2 + 48*i + 44.
4*(i + 1)*(i + 11)
Find z, given that -z**2/2 - 669*z/2 - 667 = 0.
-667, -2
Factor -2*w**4/17 - 2680*w**3/17 - 1196172*w**2/17 - 177430392*w/17 + 178629246/17.
-2*(w - 1)*(w + 447)**3/17
Factor -128*u**5/7 + 1632*u**4/7 - 5784*u**3/7 + 3746*u**2/7 - 888*u/7 + 72/7.
-2*(u - 6)**2*(4*u - 1)**3/7
Factor 3*g**4 - 75*g**3 + 567*g**2 - 1545*g + 1050.
3*(g - 14)*(g - 5)**2*(g - 1)
Factor f**2/6 + 3*f/2 - 6.
(f - 3)*(f + 12)/6
Factor -42*s**2 + 226*s + 68.
-2*(3*s - 17)*(7*s + 2)
Factor 15*n**2 + 400*n + 260.
5*(n + 26)*(3*n + 2)
Factor 5*s**4 - 65*s**3 - 510*s**2 - 1100*s - 760.
5*(s - 19)*(s + 2)**3
Suppose -50*s**5/9 + 1330*s**4/3 - 79168*s**3/9 - 18568*s**2/9 + 5760*s - 12800/9 = 0. What is s?
-1, 2/5, 40
Suppose 5*r**4 + 185*r**3 - 585*r**2 + 595*r - 200 = 0. What is r?
-40, 1
Solve -2*k**5/3 - 554*k**4/3 - 550*k**3 - 1646*k**2/3 - 548*k/3 = 0.
-274, -1, 0
What is f in -20*f**5 - 96*f**4 - 120*f**3 - 32*f**2 + 12*f = 0?
-3, -1, 0, 1/5
Factor -2*z**3 + 16*z**2/3 + 22*z + 20/3.
-2*(z - 5)*(z + 2)*(3*z + 1)/3
Determine u so that u**5/7 = 0.
0
Suppose 1404*f**2 + 8*f = 0. Calculate f.
-2/351, 0
Find p such that -p**4/5 + p**3 - 4*p**2/5 = 0.
0, 1, 4
Factor q**5/4 + 77*q**4/4 + 225*q**3/4 + 223*q**2/4 + 37*q/2.
q*(q + 1)**3*(q + 74)/4
What is z in 2*z**3/11 - 26*z**2/11 + 102*z/11 - 126/11 = 0?
3, 7
Factor y**5/3 - 5*y**4/3 - 12*y**3.
y**3*(y - 9)*(y + 4)/3
Factor -2*t**2/7 - 200*t/7 + 408/7.
-2*(t - 2)*(t + 102)/7
Factor 4*z**3/3 + 70*z**2/3 - 56*z/3 - 120.
2*(z + 2)*(z + 18)*(2*z - 5)/3
Factor -b**4/2 - 97*b**3 - 6336*b**2 - 143360*b - 262144.
-(b + 2)*(b + 64)**3/2
Factor n**5/6 - 5*n**4/6 - 25*n**3/3.
n**3*(n - 10)*(n + 5)/6
Solve -5*j**4 + 60*j**3 - 150*j**2 + 140*j - 45 = 0.
1, 9
Factor -t**2/3 - 19*t/3 - 30.
-(t + 9)*(t + 10)/3
Let -3*q**5 + 288*q**4 + 891*q**3 + 12*q**2 - 1188*q = 0. Calculate q.
-2, 0, 1, 99
Find n, given that -4*n**4 + 44*n**3 - 108*n**2 - 44*n + 112 = 0.
-1, 1, 4, 7
Determine n so that -3*n**4 + 9*n**2 + 6*n = 0.
-1, 0, 2
Let 384*q**4 + 608*q**3 + 262*q**2 + 40*q + 2 = 0. Calculate q.
-1, -1/3, -1/8
Let 2*g**4/7 - 8*g**3/7 - 18*g**2/7 + 32*g/7 + 40/7 = 0. Calculate g.
-2, -1, 2, 5
Suppose 2*b**2 - 2032*b + 2030 = 0. What is b?
1, 1015
Solve 5*x**5 - 10*x**4 - 5*x**3 + 10*x**2 = 0 for x.
-1, 0, 1, 2
Suppose g**3 - 4*g**2 - 7*g + 10 = 0. What is g?
-2, 1, 5
Determine y so that -y**3/4 + 7*y**2/4 + 10*y + 11 = 0.
-2, 11
Solve -3*z**2 - 24*z - 36 = 0.
-6, -2
Factor 2*f**3/11 + 188*f**2/11 - 2*f/11 - 188/11.
2*(f - 1)*(f + 1)*(f + 94)/11
Factor m**5/2 + 3*m**4/2 - 2*m**2.
m**2*(m - 1)*(m + 2)**2/2
Let 5*z**3 - 10*z**2 - 25*z + 30 = 0. Calculate z.
-2, 1, 3
Let 5*p**2 - 1070*p + 4200 = 0. What is p?
4, 210
Factor 2*a**3/9 + 3418*a**2/3 + 1460910*a + 13137938/9.
2*(a + 1)*(a + 2563)**2/9
Solve -25*o**3/6 - 160*o**2/3 - 122*o/3 - 8 = 0 for o.
-12, -2/5
Solve 2*c**2/7 - 92*c/7 + 176/7 = 0.
2, 44
Solve -4*y**3/7 + 88*y**2/7 + 780*y/7 - 432 = 0.
-9, 3, 28
Factor -15*s**2 - 110*s + 80.
-5*(s + 8)*(3*s - 2)
Find y such that -3*y**4 + 21*y**3 - 51*y**2 + 51*y - 18 = 0.
1, 2, 3
Factor 2*t**2/9 - 46*t/9 - 100/9.
2*(t - 25)*(t + 2)/9
Solve -x**5/3 - 13*x**4/6 + 22*x**3 + 377*x**2/6 + 77*x/3 = 0.
-11, -2, -1/2, 0, 7
Suppose -3*s**3 - 7*s**2 + 36*s - 20 = 0. Calculate s.
-5, 2/3, 2
Factor -g**2/6 - 43*g/3 - 85/6.
-(g + 1)*(g + 85)/6
Determine u, given that -5*u**3 + 335*u**2 + 370*u - 2040 = 0.
-3, 2, 68
Factor -p**5/7 + 6*p**3/7 + 8*p**2/7 + 3*p/7.
-p*(p - 3)*(p + 1)**3/7
Factor -10*r**2 - 1645*r + 2490.
-5*(r + 166)*(2*r - 3)
Suppose 3*x**4/2 - 57*x**3 + 714*x**2 - 2940*x = 0. Calculate x.
0, 10, 14
Factor 27*w**5/7 - 3*w**4 - 6*w**3/7.
3*w**3*(w - 1)*(9*w + 2)/7
Factor y**2/8 - 213*y/4.
y*(y - 426)/8
Factor -2*u**3/7 + 66*u**2/7 - 64*u/7.
-2*u*(u - 32)*(u - 1)/7
Factor -5*n**2 - 15*n.
-5*n*(n + 3)
Factor o**5 + o**4 - 2*o**3.
o**3*(o - 1)*(o + 2)
What is p in -3*p**3/4 - 103*p**2/2 + 182*p + 144 = 0?
-72, -2/3, 4
Factor 220*z**2 - 225*z + 5.
5*(z - 1)*(44*z - 1)
Suppose -v**2 - 2*v + 224 = 0. What is v?
-16, 14
Factor 3*x**2 - 90*x + 168.
3*(x - 28)*(x - 2)
Factor 3*f**3/7 - 96*f**2/7 - 432*f/7.
3*f*(f - 36)*(f + 4)/7
Find d such that 2*d**5/3 - 8*d**4 + 82*d**3/3 + 4*d**2/3 - 128*d + 320/3 = 0.
-2, 1, 4, 5
Factor -3*w**2/7 - 55*w/7 + 38/7.
-(w + 19)*(3*w - 2)/7
Let -3*d**2 + 129*d - 246 = 0. What is d?
2, 41
Determine j so that 5*j**4/9 - 2*j**3 + 17*j**2/9 - 4/9 = 0.
-2/5, 1, 2
Factor 8*m**5/3 - 6*m**4 + 10*m**3/3.
2*m**3*(m - 1)*(4*m - 5)/3
Suppose -4*x**5/7 - 32*x**4/7 - 32*x**3/7 + 128*x**2/7 + 192*x/7 = 0. Calculate x.
-6, -2, 0, 2
Let 5*s**5 + 795*s**4 - 825*s**3 - 4015*s**2 - 2400*s = 0. Calculate s.
-160, -1, 0, 3
What is m in 3*m**2 - 168*m = 0?
0, 56
Factor -a**2/4 + 160*a - 639/4.
-(a - 639)*(a - 1)/4
Let -18*b**3/7 - 1728*b**2/7 + 2*b/7 + 192/7 = 0. Calculate b.
-96, -1/3, 1/3
Factor -3*n**3/8 - 39*n**2/4 - 135*n/8 + 27.
-3*(n - 1)*(n + 3)*(n + 24)/8
Solve -2*j**5 - j**4/2 + 66*j**3 + 145*j**2/2 - 106*j - 30 = 0 for j.
-5, -2, -1/4, 1, 6
Find a such that -3*a**5 + 10*a**4 + 18*a**3 - 88*a**2 + 81*a - 18 = 0.
-3, 1/3, 1, 2, 3
Suppose -2*h**2 - 62*h - 60 = 0. Calculate h.
-30, -1
Suppose -3*z**4 - 42*z**3 + 93*z**2 - 48*z = 0. What is z?
-16, 0, 1
Solve 3*p**5/2 + 3*p**4/2 - 105*p**3/2 - 375*p**2/2 - 219*p - 84 = 0 for p.
-4, -2, -1, 7
Factor -2*c**2/5 - 248*c/5.
-2*c*(c + 124)/5
Factor -450*a**4 - 3630*a**3 - 8798*a**2 - 5618*a.
-2*a*(a + 1)*(15*a + 53)**2
Factor -j**2/4 + 13*j/2 + 30.
-(j - 30)*(j + 4)/4
What is r in -5*r**4 - 160*r**3 - 1625*r**2 - 5070*r = 0?
-13, -6, 0
Suppose 2*h**2/7 - 30*h/7 = 0. Calculate h.
0, 15
Factor -5*u**4/4 + 105*u**3/2.
-5*u**3*(u - 42)/4
Let -5*p**4 + 305*p**2 + 840*p + 540 = 0. What is p?
-6, -2, -1, 9
Factor -i**2 + 459*i - 458.
-(i - 458)*(i - 1)
Let -m**3/12 - 166*m**2/3 + 665*m/12 = 0. Calculate m.
-665, 0, 1
Factor 2*c**2/5 - 26*c/5 - 36.
2*(c - 18)*(c + 5)/5
Determine i, given that -5*i**5 - 10*i**4 + 10*i**3 + 20*i**2 - 5*i - 10 = 0.
-2, -1, 1
Factor 3*d**5 + 36*d**4 + 63*d**3 + 30*d**2.
3*d**2*(d + 1)**2*(d + 10)
Let -3*g**3 + 54*g**2 - 324*g + 648 = 0. What is g?
6
Factor 2*g**2/5 - 4*g + 18/5.
2*(g - 9)*(g - 1)/5
Suppose -2*a**3/7 + 782*a**2/7 - 10864*a - 10976 = 0. What is a?
-1, 196
Find i such that -9*i**2 - 15*i/2 = 0.
-5/6, 0
Factor 13*i**3/6 + 34*i**2/3 + 58*i/3 + 32/3.
(i + 2)**2*(13*i + 16)/6
Suppose -2*u**2 - 612*u - 46818 = 0. Calculate u.
-153
Solve 2*i**4 - 12*i**3 + 26*i**2 - 24*i + 8 = 0 for i.
1, 2
Find p, given that 2*p**3 - 18*p**2 + 28*p = 0.
0, 2, 7
Factor 2*a**3/19 + 68*a**2/19 - 640*a/19 + 1344/19.
2*(a - 4)**2*(a + 42)/19
Factor 45*u**4 - 9090*u**3 - 9120*u**2 - 9130*u/3 - 1015/3.
5*(u - 