r 2*h**4 + 20*h**3 + 18*h**2.
2*h**2*(h + 1)*(h + 9)
Determine l so that 3*l**4 - 126*l**3 + 1755*l**2 - 8544*l + 6912 = 0.
1, 9, 16
Factor 5*b**3 - 15*b**2 - 50*b.
5*b*(b - 5)*(b + 2)
Let 4*l**3 - 20*l**2 - 4*l + 20 = 0. What is l?
-1, 1, 5
Suppose w**5 + 51*w**4 + 765*w**3 + 2921*w**2 + 3174*w = 0. What is w?
-23, -3, -2, 0
Suppose 9*r**3 - 16*r**2 + 5*r + 2 = 0. What is r?
-2/9, 1
Factor 2*n**2/13 - 158*n/13.
2*n*(n - 79)/13
Determine h so that -h**4/2 + h**3 = 0.
0, 2
Factor 5*y**2 - 11720*y + 6867920.
5*(y - 1172)**2
Factor -t**3/3 + 8*t**2/3 - 5*t.
-t*(t - 5)*(t - 3)/3
Let 2*i**2 - 13416*i + 22498632 = 0. Calculate i.
3354
Factor 2*w**3/3 - 32*w**2/3 + 34*w - 24.
2*(w - 12)*(w - 3)*(w - 1)/3
Solve -2*j**4 - 54*j**3 - 234*j**2 - 314*j - 132 = 0 for j.
-22, -3, -1
What is t in 20*t**2 + 8*t - 64 = 0?
-2, 8/5
Suppose 102*b**2/5 - 16*b/5 - 6/5 = 0. What is b?
-3/17, 1/3
Let n**2/4 - 17*n/4 + 4 = 0. Calculate n.
1, 16
Determine l, given that -l**4 + 9*l**3 - 24*l**2 + 16*l = 0.
0, 1, 4
Factor -5*y**2 - 255*y - 3240.
-5*(y + 24)*(y + 27)
Factor o**4/2 + 37*o**3/2 - 203*o**2/2 + 291*o/2 - 63.
(o - 3)*(o - 1)**2*(o + 42)/2
Factor -5*l**4 - 770*l**3 - 29645*l**2.
-5*l**2*(l + 77)**2
Suppose -3*o**2 - 1131*o + 4572 = 0. What is o?
-381, 4
Find y such that -35*y**5 + 2440*y**4 + 5705*y**3 + 3950*y**2 + 720*y = 0.
-1, -2/7, 0, 72
What is n in 5*n**4 + 10*n**3 - 40*n**2 = 0?
-4, 0, 2
Factor 3*s**2/2 - 3*s - 105/2.
3*(s - 7)*(s + 5)/2
Factor 4*f**2 + 268*f - 3080.
4*(f - 10)*(f + 77)
Factor -m**2 - 12704*m - 40347904.
-(m + 6352)**2
Find g such that -2*g**5/9 + 116*g**4/3 - 1682*g**3 = 0.
0, 87
Factor -36*i**3/11 - 138*i**2/11 + 210*i/11.
-6*i*(i + 5)*(6*i - 7)/11
Suppose -v**4 - 42*v**3 - 508*v**2 - 1254*v + 1805 = 0. What is v?
-19, -5, 1
Factor k**4 + 7*k**3 - 102*k**2 - 928*k - 1408.
(k - 11)*(k + 2)*(k + 8)**2
Determine m so that m**4 + 11*m**3 + 19*m**2 + 9*m = 0.
-9, -1, 0
What is x in -x**5 + 82*x**4 + 342*x**3 + 176*x**2 - 341*x - 258 = 0?
-3, -1, 1, 86
Factor -2*i**5 - 4*i**4 + 4*i**2 + 2*i.
-2*i*(i - 1)*(i + 1)**3
Determine s, given that -2*s**3 + 2*s**2 = 0.
0, 1
Solve h**5/6 - 35*h**4/6 - 25*h**3 - 115*h**2/3 - 155*h/6 - 13/2 = 0 for h.
-1, 39
Solve -20*m**5 - 25*m**4 + 55*m**3 + 35*m**2 - 35*m - 10 = 0 for m.
-2, -1, -1/4, 1
Solve 3*u**2/7 - 300*u/7 + 7500/7 = 0 for u.
50
Suppose 4*h**3 - 164*h**2 + 952*h = 0. What is h?
0, 7, 34
Let 2*m**4/7 - 136*m**3/7 + 134*m**2/7 = 0. Calculate m.
0, 1, 67
Suppose -p**4/2 + 336*p**3 - 1341*p**2/2 + 335*p = 0. What is p?
0, 1, 670
Factor m**4/4 - 23*m**3/4 - 57*m**2 - 151*m - 124.
(m - 31)*(m + 2)**2*(m + 4)/4
Solve -2*t**5/5 + 4*t**4 - 22*t**3/5 - 164*t**2/5 + 24*t/5 + 144/5 = 0.
-2, -1, 1, 6
Determine t, given that -21*t**4 - 387*t**3/5 - 228*t**2/5 - 36*t/5 = 0.
-3, -2/5, -2/7, 0
Find a such that 5*a**5 - 10*a**4 - 55*a**3 + 20*a**2 + 140*a + 80 = 0.
-2, -1, 2, 4
Let 7*u**2 - 64*u + 9 = 0. Calculate u.
1/7, 9
Determine r so that 2*r**3/13 - 172*r**2 + 627192*r/13 - 1245456/13 = 0.
2, 558
Solve 15*r**5/4 - 25*r**4/4 + 5*r**3/4 + 5*r**2/4 = 0.
-1/3, 0, 1
Factor -4*x**3 - 28*x**2 + 432*x - 720.
-4*(x - 6)*(x - 2)*(x + 15)
Let 242*p**5/3 + 3278*p**4/9 - 2678*p**3/9 - 470*p**2 + 2000*p/9 + 1000/9 = 0. What is p?
-5, -1, -1/3, 10/11
Suppose -3*t**2 + 7044*t - 4134828 = 0. What is t?
1174
Let z**4/3 + 4*z**3/3 + z**2 = 0. What is z?
-3, -1, 0
Factor 3*a**4 - 6*a**2 + 3.
3*(a - 1)**2*(a + 1)**2
Find y, given that y**3 + 3*y**2 - 72*y - 324 = 0.
-6, 9
Factor 2*v**2 - 118*v + 1680.
2*(v - 35)*(v - 24)
Factor 3*a**4 + 924*a**3 + 106722*a**2 + 5478396*a + 105459123.
3*(a + 77)**4
Suppose -y**4/4 + y**3/4 + 9*y**2/4 + 11*y/4 + 1 = 0. Calculate y.
-1, 4
Factor 4*g**2/5 + 88*g/5 + 484/5.
4*(g + 11)**2/5
Suppose -2*p**3/5 - 8*p**2/5 - 8*p/5 = 0. Calculate p.
-2, 0
Factor -g**2/5 + 81*g/5 - 308/5.
-(g - 77)*(g - 4)/5
Factor -3*r**3 - 699*r**2 + 1407*r - 705.
-3*(r - 1)**2*(r + 235)
Solve -3*n**3/2 + 12*n**2 - 21*n/2 = 0 for n.
0, 1, 7
Solve 5*k**2 - 2485*k + 7410 = 0.
3, 494
Factor q**2/5 + 8*q/5 + 3.
(q + 3)*(q + 5)/5
Factor 38*g**2/3 - 34*g/3 - 4/3.
2*(g - 1)*(19*g + 2)/3
Let m**2/3 - 7*m/3 + 4 = 0. Calculate m.
3, 4
What is h in 2*h**3/15 + 7814*h**2/15 + 509082*h + 2542806/5 = 0?
-1953, -1
Factor -6*d**2/11 + 168*d/11 + 174/11.
-6*(d - 29)*(d + 1)/11
Determine w so that w**5/2 - 8*w**4 + 53*w**3/2 - 31*w**2 + 12*w = 0.
0, 1, 2, 12
Solve 2*z**2/15 - 1916*z/15 + 382 = 0 for z.
3, 955
Determine g, given that 3*g**3/7 - 45*g**2/7 + 114*g/7 - 72/7 = 0.
1, 2, 12
Factor 60*t**3 + 535*t**2 - 45*t.
5*t*(t + 9)*(12*t - 1)
Let i**3/4 - 75*i**2/4 + 1287*i/4 + 4563/4 = 0. What is i?
-3, 39
Factor -3*q**5/4 + 9*q**4 + 219*q**3/2 - 819*q**2 - 24843*q/4.
-3*q*(q - 13)**2*(q + 7)**2/4
Solve -3*m**2 + 771*m + 774 = 0.
-1, 258
Let -j**3/8 - j**2/4 + j/8 + 1/4 = 0. Calculate j.
-2, -1, 1
Factor c**2 - 89*c + 1278.
(c - 71)*(c - 18)
Factor -3*a**5 + 12*a**4 - 15*a**3 + 6*a**2.
-3*a**2*(a - 2)*(a - 1)**2
Determine l so that 2*l**5/7 - 6*l**4/7 - 2*l**3 + 22*l**2/7 + 12*l/7 - 16/7 = 0.
-2, -1, 1, 4
Factor -5*d**5 - 10*d**4 + 15*d**3 + 20*d**2 - 20*d.
-5*d*(d - 1)**2*(d + 2)**2
Factor -2*m**3 - 138*m**2 - 262*m + 402.
-2*(m - 1)*(m + 3)*(m + 67)
What is m in 8*m**5 + 56*m**4 - 3*m**3/2 - 43*m**2/4 - 7*m/4 = 0?
-7, -1/4, 0, 1/2
Factor -2*r**3/3 + 46*r**2 - 816*r + 2312/3.
-2*(r - 34)**2*(r - 1)/3
Determine s, given that 245*s**3 - 12600*s**2 - 7260*s - 1040 = 0.
-2/7, 52
Factor 3*v**2 - 297*v - 3996.
3*(v - 111)*(v + 12)
Determine b, given that 2*b**2/3 - 1090*b/3 - 364 = 0.
-1, 546
Factor 2*a**3/11 - 82*a**2/11 + 438*a/11 - 630/11.
2*(a - 35)*(a - 3)**2/11
Solve -4*a**3 - 16*a**2 + 12*a + 72 = 0 for a.
-3, 2
Factor -4*c**4/7 + 108*c**3/7 - 780*c**2/7 + 676*c/7.
-4*c*(c - 13)**2*(c - 1)/7
Suppose -2*w**2 - 1534*w + 3076 = 0. Calculate w.
-769, 2
Factor 686*z**5/19 - 24990*z**4/19 + 10626*z**3/19 - 1514*z**2/19 + 72*z/19.
2*z*(z - 36)*(7*z - 1)**3/19
Factor -3*n**3 + 9*n**2 + 75*n + 63.
-3*(n - 7)*(n + 1)*(n + 3)
Factor -3*t**3/4 - 333*t**2/4 - 657*t/4 - 327/4.
-3*(t + 1)**2*(t + 109)/4
Determine y so that -4*y**5 + 20*y**4 + 12*y**3 - 164*y**2 + 232*y - 96 = 0.
-3, 1, 2, 4
Factor -2*t**3/15 + 4*t**2/3 + 22*t/15.
-2*t*(t - 11)*(t + 1)/15
Find q, given that -q**2/3 + 5*q/3 + 28 = 0.
-7, 12
Factor -c**3/8 - c**2 - 19*c/8 - 3/2.
-(c + 1)*(c + 3)*(c + 4)/8
Let 3*f**2/2 = 0. Calculate f.
0
Suppose -b**2 - 1037*b = 0. Calculate b.
-1037, 0
Solve -p**2/4 - 4*p - 63/4 = 0 for p.
-9, -7
Factor 2*a**3/7 - 66*a**2/7 + 292*a/7 - 48.
2*(a - 28)*(a - 3)*(a - 2)/7
Factor -g**2/5 - 52*g/5 - 387/5.
-(g + 9)*(g + 43)/5
Suppose 6*s**5/7 + 9*s**4/7 - 75*s**3/7 - 45*s**2/7 + 69*s/7 + 36/7 = 0. Calculate s.
-4, -1, -1/2, 1, 3
Suppose -4*q**5 - 124*q**4 - 704*q**3 - 704*q**2 + 1536*q = 0. Calculate q.
-24, -4, 0, 1
Suppose 2*c**3/9 - 68*c**2/9 + 290*c/9 = 0. What is c?
0, 5, 29
Factor -k**3/5 - 2*k**2 - 17*k/5 - 8/5.
-(k + 1)**2*(k + 8)/5
Let 2*u**4 - 22*u**3 + 60*u**2 + 64*u - 320 = 0. What is u?
-2, 4, 5
Factor -2*i**4/7 - 72*i**3/7 + 4804*i**2/7 + 98136*i/7 - 3715538/7.
-2*(i - 29)**2*(i + 47)**2/7
Let -2*p**4/3 + 52*p**3/3 - 50*p**2/3 = 0. Calculate p.
0, 1, 25
Suppose 3*x**5/2 - 3*x**4/2 - 9*x**3/2 + 3*x**2/2 + 3*x = 0. What is x?
-1, 0, 1, 2
Solve -3*w**4 - 123*w**3/4 - 87*w**2/2 + 207*w + 54 = 0.
-6, -1/4, 2
Factor d**5/4 + 953*d**4/4 + 225619*d**3/4 - 682585*d**2/4 + 171124*d - 57121.
(d - 1)**3*(d + 478)**2/4
Let -2*l**5/3 + 10*l**4 + 104*l**3/3 + 24*l**2 = 0. Calculate l.
-2, -1, 0, 18
Factor 2*b**4 + 3052*b**3 + 1164336*b**2 - 3052*b - 1164338.
2*(b - 1)*(b + 1)*(b + 763)**2
Factor -7*n**3/3 + 23*n**2/3 + 22*n/3 - 8/3.
-(n - 4)*(n + 1)*(7*n - 2)/3
Factor p**4/7 + 9*p**3/7 + 23*p**2/7 + 3*p/7 - 36/7.
(p - 1)*(p + 3)**2*(p + 4)/7
Factor -3*k**4/7 + 3*k**3/7 + 30*k**2/7 + 24*k/7.
-3*k*(k - 4)*(k + 1)*(k + 2)/7
Factor b**4 - 14*b**3 + 44*b**2 + 110*b - 525.
(b - 7)*(b - 5)**2*(b + 3)
Suppose -2*v**3/3 - 14*v**2/3 - 8*v = 0. What is v?
-4, -3, 0
Determine v so that -5*v**2/4 + 13315*v - 35457845 = 0.
5326
Find t, given that -4*t**3 + 4*t**2 + 24*t = 0.
-2, 0, 3
Factor 361*o**3/4 + 9215*o**2/4 - 3542*o + 1323.
(o + 27)*(19*o - 14)**2/4
Let 2*l**3 - 20*l**2 - 46*l - 24 = 0. What is l?
-1, 12
Factor 2*d**3 + 22*d**2 + 62*d + 42.
2*(d + 1)*(d + 3)*(d 