 + 180*n**2 - 200*n.
-5*n*(n - 2)**2*(n + 10)
Factor f**4/7 + 10*f**3/7 + 16*f**2/7.
f**2*(f + 2)*(f + 8)/7
Factor -8*t**3 + 12*t**2 + 108*t - 112.
-4*(t - 4)*(t - 1)*(2*t + 7)
Determine l, given that l**2/2 - 9*l + 45/2 = 0.
3, 15
What is g in -2*g**3/9 + 2*g**2 - 10*g/3 + 14/9 = 0?
1, 7
What is x in 2*x**3/7 + 58*x**2/7 + 494*x/7 + 1014/7 = 0?
-13, -3
Let v**2/2 + 9*v/2 = 0. What is v?
-9, 0
Factor -b**2/3 - 3*b.
-b*(b + 9)/3
Find i, given that -3*i**5/8 + 21*i**4/4 - 39*i**3/2 + 99*i**2/4 - 81*i/8 = 0.
0, 1, 3, 9
Factor -2*h**3 + 56*h**2 + 120*h.
-2*h*(h - 30)*(h + 2)
Suppose 8*l**5 - 158*l**4 + 695*l**3 - 692*l**2 - 316*l + 112 = 0. What is l?
-1/2, 1/4, 2, 4, 14
Factor -n**3/9 - n**2/3 + 4*n/9.
-n*(n - 1)*(n + 4)/9
Factor 2*s**5/7 - 82*s**4/7 - 170*s**3/7 - 86*s**2/7.
2*s**2*(s - 43)*(s + 1)**2/7
Factor 2*p**3 - 1652*p**2 + 6584*p - 6576.
2*(p - 822)*(p - 2)**2
Factor w**4 + 771*w**3 + 769*w**2 - 771*w - 770.
(w - 1)*(w + 1)**2*(w + 770)
What is k in 4*k**5/5 + 32*k**4/5 + 12*k**3 - 32*k**2/5 - 64*k/5 = 0?
-4, -1, 0, 1
Suppose 35*k**2 + 1075*k - 310 = 0. What is k?
-31, 2/7
Factor 36*g**2 - 33*g.
3*g*(12*g - 11)
Factor 3*d**5 + 45*d**4 + 183*d**3 + 63*d**2 - 294*d.
3*d*(d - 1)*(d + 2)*(d + 7)**2
Determine o so that o**5 - 29*o**4 + 151*o**3 - 311*o**2 + 280*o - 92 = 0.
1, 2, 23
Solve -3*d**5 + 522*d**4 - 32109*d**3 + 792666*d**2 - 5957388*d + 5196312 = 0 for d.
1, 11, 54
Factor -4*n**3 + 168*n**2 + 172*n.
-4*n*(n - 43)*(n + 1)
Factor 7*i**3/10 - 25*i**2 + 173*i/10 + 7.
(i - 35)*(i - 1)*(7*i + 2)/10
Factor -2*l**2 - 166*l - 780.
-2*(l + 5)*(l + 78)
What is l in 14*l**2 - 94*l - 28 = 0?
-2/7, 7
Factor -b**3/3 - 2339*b**2/3 - 2338*b/3.
-b*(b + 1)*(b + 2338)/3
Factor i**3/4 - 1285*i**2/4.
i**2*(i - 1285)/4
Determine m so that -5*m**2 + 190*m + 400 = 0.
-2, 40
What is h in -3*h**5/4 + 12*h**4 + 3*h**3/4 - 12*h**2 = 0?
-1, 0, 1, 16
Determine d so that -d**2/7 - 32*d/7 - 87/7 = 0.
-29, -3
Determine q so that 3*q**5/7 - 9*q**4/7 + 6*q**3/7 = 0.
0, 1, 2
Suppose -3*a**2/5 - 102*a/5 - 72 = 0. What is a?
-30, -4
Factor 5*c**2 + 113*c - 46.
(c + 23)*(5*c - 2)
Factor 3*j**2 - 9*j.
3*j*(j - 3)
Determine w so that -49*w**4/2 - 189*w**3/2 - 233*w**2/2 - 111*w/2 - 9 = 0.
-2, -1, -3/7
Factor -2*x**3 - 76*x**2/7 - 30*x/7.
-2*x*(x + 5)*(7*x + 3)/7
Determine s, given that 3*s**4 + 12*s**3 = 0.
-4, 0
Factor -4*u**5 + 340*u**4 - 9744*u**3 + 97216*u**2 - 87808*u.
-4*u*(u - 28)**3*(u - 1)
Determine z so that z**3/3 + 98*z**2/3 - 832*z/3 + 1696/3 = 0.
-106, 4
Suppose 2*s**5 + 14*s**4 - 32*s**3 - 176*s**2 + 480*s - 288 = 0. Calculate s.
-6, 1, 2
Factor k**4/4 + 3*k**3 - 13*k**2/4.
k**2*(k - 1)*(k + 13)/4
What is u in 2*u**4 - 2316*u**3 + 668162*u**2 + 1343280*u + 672800 = 0?
-1, 580
Factor -z**3/6 - z**2 - 5*z/6.
-z*(z + 1)*(z + 5)/6
Factor 4*r**2 + 44*r + 40.
4*(r + 1)*(r + 10)
Let -5*f**3 - 350*f**2 - 1015*f - 670 = 0. Calculate f.
-67, -2, -1
Factor 5*g**3 + 40*g**2 + 35*g.
5*g*(g + 1)*(g + 7)
Suppose 12*c**5 - 62*c**4 - 86*c**3 + 554*c**2 - 310*c - 300 = 0. Calculate c.
-3, -1/2, 5/3, 2, 5
Factor -5*r**4/3 + r**3 + 2*r**2/3.
-r**2*(r - 1)*(5*r + 2)/3
Factor -4*s**4 + 12*s**3 - 8*s**2.
-4*s**2*(s - 2)*(s - 1)
Factor p**3 + 15*p**2 - 33*p + 17.
(p - 1)**2*(p + 17)
Let -2*s**2 - 796*s - 1584 = 0. What is s?
-396, -2
Factor 5*y**3 + 180*y**2 - 3255*y - 124930.
5*(y - 26)*(y + 31)**2
Factor -4*j**2 + 80*j - 76.
-4*(j - 19)*(j - 1)
Factor 5*v**2 - 30*v - 80.
5*(v - 8)*(v + 2)
Factor -5*x**3 + 5*x**2 + 50*x + 40.
-5*(x - 4)*(x + 1)*(x + 2)
Factor 2*i**2/17 - 20*i/17 - 78/17.
2*(i - 13)*(i + 3)/17
What is d in 5*d**2 - 40*d - 45 = 0?
-1, 9
Factor 4*f**4 + 12*f**3 + 4*f**2 - 12*f - 8.
4*(f - 1)*(f + 1)**2*(f + 2)
Factor 5*s**2/3 - 830*s.
5*s*(s - 498)/3
Solve 27*b**5 - 303*b**4 + 714*b**3 + 828*b**2 - 216*b = 0.
-1, 0, 2/9, 6
Factor -j**4/3 + 3*j**2.
-j**2*(j - 3)*(j + 3)/3
Factor -l**2/2 - 79*l/2 - 185.
-(l + 5)*(l + 74)/2
Let 3*b**2/2 - 9*b/2 - 162 = 0. Calculate b.
-9, 12
Factor q**2 + 1092*q + 298116.
(q + 546)**2
Factor -2*y**2/3 + 50*y/3 - 16.
-2*(y - 24)*(y - 1)/3
Find w, given that -75*w**5 - 30*w**4 + 297*w**3 + 120*w**2 + 12*w = 0.
-2, -1/5, 0, 2
Factor -3*v**3 + 3*v**2 + 48*v + 60.
-3*(v - 5)*(v + 2)**2
What is u in 12*u**5 - 27*u**4 - 75*u**3 - 36*u**2 = 0?
-1, -3/4, 0, 4
Factor 5*h**3 + 1430*h**2 + 105045*h + 397620.
5*(h + 4)*(h + 141)**2
Factor -2*k**2/3 + 658*k/3.
-2*k*(k - 329)/3
Factor -3*w**2/7 + 150*w/7 - 1875/7.
-3*(w - 25)**2/7
Factor 2*f**2/13 + 184*f/13 - 186/13.
2*(f - 1)*(f + 93)/13
Determine j, given that 9*j**5 + 12*j**4 - 75*j**3 + 78*j**2 - 24*j = 0.
-4, 0, 2/3, 1
Solve 4*m**5/3 + 20*m**4 + 196*m**3/3 + 76*m**2 + 88*m/3 = 0 for m.
-11, -2, -1, 0
Factor -5*g**3 - 330*g**2 - 325*g.
-5*g*(g + 1)*(g + 65)
What is f in 32*f**5 + 368*f**4 - 190*f**3 + 24*f**2 = 0?
-12, 0, 1/4
Find m such that m**3/3 - 56*m**2 - 113*m - 170/3 = 0.
-1, 170
Let -p**4/3 + 2*p**3/3 + 124*p**2/3 + 238*p/3 + 39 = 0. What is p?
-9, -1, 13
Factor h**2 + 84*h - 85.
(h - 1)*(h + 85)
Factor 26*a**2/15 + 14*a/15 - 4/5.
2*(a + 1)*(13*a - 6)/15
Factor -3*o**4 + 12*o**3 - 3*o**2 - 18*o.
-3*o*(o - 3)*(o - 2)*(o + 1)
What is w in -w**2/9 - 32*w/9 + 68/9 = 0?
-34, 2
Let u**4/4 + 5*u**3/2 + 8*u**2 + 8*u = 0. Calculate u.
-4, -2, 0
Factor -x**3 - 4*x**2 + 5*x.
-x*(x - 1)*(x + 5)
Solve -44*h**4 + 2940*h**3 - 13104*h**2 - 2480*h = 0 for h.
-2/11, 0, 5, 62
Factor -2*a**2/3 - 40*a/3 - 38/3.
-2*(a + 1)*(a + 19)/3
Factor -4*o**3/7 - 48*o**2/7 + 52*o/7.
-4*o*(o - 1)*(o + 13)/7
Suppose 2*j**2/3 + 106*j + 312 = 0. What is j?
-156, -3
Factor 3*f**3 - 9*f**2 + 6*f.
3*f*(f - 2)*(f - 1)
Factor -7*u**3 + 22*u**2 + 25*u - 4.
-(u - 4)*(u + 1)*(7*u - 1)
Suppose -2*c**3 + 376*c**2 - 362*c - 2244 = 0. Calculate c.
-2, 3, 187
What is g in -g**2/5 + 34*g/5 + 7 = 0?
-1, 35
Factor -5*p**5/3 + 10*p**4 - 40*p**3/3.
-5*p**3*(p - 4)*(p - 2)/3
Factor -3*v**3 - 13*v**2 - 2*v + 8.
-(v + 1)*(v + 4)*(3*v - 2)
Factor 3*m**5/5 - 3*m**4/5 - 3*m**3/5 + 3*m**2/5.
3*m**2*(m - 1)**2*(m + 1)/5
Solve -g**5 - 85*g**4 + 351*g**3 - 443*g**2 + 178*g = 0 for g.
-89, 0, 1, 2
Find u, given that 2*u**4/19 + 876*u**3/19 - 2642*u**2/19 + 1764*u/19 = 0.
-441, 0, 1, 2
Factor 6*w**5 + 5*w**4 - 49*w**3 - 64*w**2 + 12*w.
w*(w - 3)*(w + 2)**2*(6*w - 1)
Let 3*o**5/8 + 105*o**4/8 - 339*o**3/8 + 123*o**2/8 + 42*o - 57/2 = 0. What is o?
-38, -1, 1, 2
Let -725*s**5 + 1790*s**4 - 1425*s**3 + 380*s**2 - 20*s = 0. Calculate s.
0, 2/29, 2/5, 1
Factor -9*o**2 + 420*o - 276.
-3*(o - 46)*(3*o - 2)
Solve -2*i**4/21 - 40*i**3/21 + 30*i**2/7 + 360*i/7 + 72 = 0 for i.
-21, -3, -2, 6
Factor z**2/5 - 4*z/5.
z*(z - 4)/5
Determine q so that 27*q**5/4 - 783*q**4/4 + 5031*q**3/4 + 5563*q**2/4 + 957*q/2 + 54 = 0.
-1/3, 12, 18
Find a such that 3*a**2 - 18*a + 27 = 0.
3
Factor -5*o**2 - 3240*o - 524880.
-5*(o + 324)**2
Factor -3*a**3 + 42*a**2 - 147*a + 108.
-3*(a - 9)*(a - 4)*(a - 1)
What is p in 3*p**5/2 - 279*p**4/8 + 1041*p**3/8 - 1407*p**2/8 + 747*p/8 - 57/4 = 0?
1/4, 1, 2, 19
What is y in -5*y**2 + 18090*y - 16362405 = 0?
1809
Factor 10*j**3 - 41*j**2/4 - 239*j/4 + 3/2.
(j - 3)*(j + 2)*(40*j - 1)/4
Solve -3*x**2/2 + 441*x/2 - 219 = 0.
1, 146
Factor -5*m**4 + 30*m**3 - 65*m**2 + 60*m - 20.
-5*(m - 2)**2*(m - 1)**2
Determine y, given that 64*y**5/5 + 1056*y**4/5 + 484*y**3/5 - 444*y**2/5 + 64*y/5 = 0.
-16, -1, 0, 1/4
Determine p so that p**4/3 + 10*p**3 - 2250*p - 16875 = 0.
-15, 15
Factor -3*b**2 + 1944*b.
-3*b*(b - 648)
Determine y so that -2*y**5/17 - 6*y**4/17 + 32*y**3/17 + 40*y**2/17 - 192*y/17 + 128/17 = 0.
-4, 1, 2
Suppose 4*a**5 - 8*a**4 = 0. Calculate a.
0, 2
Factor -b**2/2 + 2*b + 48.
-(b - 12)*(b + 8)/2
Find f such that 21*f**2 + 1062*f - 459 = 0.
-51, 3/7
Suppose 2*m**5/3 - 86*m**4/9 + 26*m**3 - 146*m**2/9 - 32*m/3 + 88/9 = 0. What is m?
-2/3, 1, 2, 11
Determine r, given that r**5/2 - r**4/2 - r**3 = 0.
-1, 0, 2
What is r in -4*r**4 - 1096*r**3 + 4428*r**2 - 5552*r + 2224 = 0?
-278, 1, 2
Factor -5*s**3 + 6840*s**2.
-5*s**2*(s - 1368)
Solve -150*g**4 - 410*g**3 - 548*g**2/3 + 72*g - 16/3 = 0.
-2, -1, 2/15
Determine f so that -3*f**5/5 + 6*f**4 + 2526*f**3/5 - 516*f**2 - 2523*f/5 + 510 = 0.
-25, -1, 1, 34
Suppose 10*g**5/11 + 116*g**4/11 + 416*g**3/11 + 460*g**2/11 + 150*g/11 = 0. Calculate g.
-5, -1, -3/5, 0
Find h, given that -4*h**5 + 13*h**4