*2/3.
5*m**2*(m - 1)**2*(m + 20)/3
Factor -5*q**2 - 10*q + 40.
-5*(q - 2)*(q + 4)
Determine l so that -2*l**5/13 + 20*l**4/13 + 48*l**3/13 + 4*l**2/13 - 46*l/13 - 24/13 = 0.
-1, 1, 12
Suppose -2*h**5 - 52*h**4 + 112*h**3 - 4*h**2 - 110*h + 56 = 0. What is h?
-28, -1, 1
Factor -2*d**3 + 108*d**2 - 202*d - 312.
-2*(d - 52)*(d - 3)*(d + 1)
Find y, given that -y**3/5 + 48*y**2/5 - 768*y/5 + 4096/5 = 0.
16
Solve 2*s**2/7 - 820*s/7 + 84050/7 = 0.
205
Find u such that 5*u**2 + 1400*u + 98000 = 0.
-140
Solve 4*x**4 + 1332*x**3 - 1356*x**2 - 6692*x - 4008 = 0.
-334, -1, 3
Factor -y**2/3 - 19*y/3 - 34/3.
-(y + 2)*(y + 17)/3
Factor 11*m**4/5 + 57*m**3/5 + 76*m**2/5 + 12*m/5.
m*(m + 2)*(m + 3)*(11*m + 2)/5
Factor 4*s**2 - 28384*s - 28388.
4*(s - 7097)*(s + 1)
Factor 2*r**2 - 104*r + 1352.
2*(r - 26)**2
Factor 4*m**2 - 132*m + 248.
4*(m - 31)*(m - 2)
Factor 12*j**2 + 964*j + 3952.
4*(j + 76)*(3*j + 13)
Factor 14*y**2 + 16342*y + 4668.
2*(y + 1167)*(7*y + 2)
Determine r so that -2*r**5 - 24*r**4 + 2*r**3 + 24*r**2 = 0.
-12, -1, 0, 1
Factor -n**5 - 5*n**4 - 7*n**3 - 3*n**2.
-n**2*(n + 1)**2*(n + 3)
Factor 3*x**4/2 - 63*x**3/2.
3*x**3*(x - 21)/2
Factor 5*n**2 - 20*n - 300.
5*(n - 10)*(n + 6)
Factor 4*r**2 + 36*r.
4*r*(r + 9)
Solve -9*m**4 - 15*m**3 - 3*m**2 + 3*m = 0.
-1, 0, 1/3
Factor 2*x**3/3 + 10*x**2 + 112*x/3.
2*x*(x + 7)*(x + 8)/3
Solve -4*o**5 - 8*o**4 = 0 for o.
-2, 0
Find h such that -3*h**4 - 186*h**3 = 0.
-62, 0
Find y, given that -4*y**2/3 + 38*y/3 - 6 = 0.
1/2, 9
Find j, given that -4*j**3/7 - 324*j**2/7 - 2936*j/7 - 6816/7 = 0.
-71, -6, -4
Find p, given that 2*p**5 - 29*p**4 - 402*p**3 - 1264*p**2 - 800*p + 768 = 0.
-4, -2, 1/2, 24
Solve 2*v**3/9 - 4*v**2 + 22*v/3 - 32/9 = 0 for v.
1, 16
Solve 8*r**5/3 - 8*r**4/3 - 2*r**3 + 4*r**2/3 + 2*r/3 = 0.
-1/2, 0, 1
Find s, given that 5*s**5/6 - 11*s**4/3 + 7*s**3/2 + 10*s**2/3 - 14*s/3 = 0.
-1, 0, 7/5, 2
Factor 8*a**3 - 18*a**2 - 500*a + 126.
2*(a - 9)*(a + 7)*(4*a - 1)
Find c such that -c**5/6 - 7*c**4/3 + 8*c**3/3 + 7*c**2/3 - 5*c/2 = 0.
-15, -1, 0, 1
Suppose 2*o**3/19 - 40*o**2/19 - 86*o/19 - 44/19 = 0. What is o?
-1, 22
Factor 5*k**5/2 - 36365*k**4/2 + 66102475*k**3/2 + 66138845*k**2/2.
5*k**2*(k - 3637)**2*(k + 1)/2
Let 3*z**4/4 + 9*z**3 + 123*z**2/4 + 45*z/2 = 0. What is z?
-6, -5, -1, 0
Factor -x**3/4 + 25*x**2/2 - 825*x/4 + 1125.
-(x - 20)*(x - 15)**2/4
Factor -4*z**3 + 76*z**2 - 392*z + 320.
-4*(z - 10)*(z - 8)*(z - 1)
Find v such that -4*v**2 + 12*v + 40 = 0.
-2, 5
Factor -4*f**2/3 + 4*f - 8/3.
-4*(f - 2)*(f - 1)/3
Let 2*c**4 + 52*c**3/7 - 86*c**2/7 + 20*c/7 = 0. What is c?
-5, 0, 2/7, 1
Determine t so that 4*t**5/5 - 192*t**4 + 948*t**3/5 + 1912*t**2/5 = 0.
-1, 0, 2, 239
Factor -o**3/2 - 41*o**2/2 - 79*o/2 - 39/2.
-(o + 1)**2*(o + 39)/2
Determine z, given that 2*z**5/3 - 4*z**4/3 - 26*z**3/3 - 20*z**2/3 = 0.
-2, -1, 0, 5
Factor 63*c**3 + 114*c**2 + 39*c - 12.
3*(c + 1)**2*(21*c - 4)
Suppose 5*w**4/7 + 6*w**3 + 96*w**2/7 + 32*w/7 = 0. Calculate w.
-4, -2/5, 0
Factor -4*k**2/3 + 16*k/3 + 16.
-4*(k - 6)*(k + 2)/3
Suppose -g**3/6 + 167*g**2/2 + 252*g = 0. Calculate g.
-3, 0, 504
Solve -2*k**4/7 - k**3 + 10*k**2/7 + 33*k/7 - 18/7 = 0.
-3, 1/2, 2
Suppose 4*y**4 - 32*y**3 + 76*y**2 - 48*y = 0. Calculate y.
0, 1, 3, 4
Factor -2*v**2 - 6*v.
-2*v*(v + 3)
What is k in 5*k**5 - 245*k**4 - 770*k**3 - 520*k**2 = 0?
-2, -1, 0, 52
Factor -5*y**2 - 95*y.
-5*y*(y + 19)
Factor 4*p**3 + 56*p**2 - 784*p - 1760.
4*(p - 10)*(p + 2)*(p + 22)
Find s, given that -3*s**2 + 1002*s - 3960 = 0.
4, 330
Factor -4*n**2 + 504*n - 4212.
-4*(n - 117)*(n - 9)
Factor 5*r**5 - 50*r**4 + 180*r**3 - 270*r**2 + 135*r.
5*r*(r - 3)**3*(r - 1)
Factor -2*o**2/5 + 292*o/5 - 10658/5.
-2*(o - 73)**2/5
Determine j, given that j**2/7 + 538*j/7 + 72361/7 = 0.
-269
Factor -j**2 + 48*j.
-j*(j - 48)
Suppose 14*o**5 - 88*o**4 + 24*o**3 = 0. What is o?
0, 2/7, 6
Factor -r**2/5 - 12*r - 324/5.
-(r + 6)*(r + 54)/5
Solve -2*p**5/5 + 84*p**4/5 - 1024*p**3/5 + 5504*p**2/5 - 13824*p/5 + 13312/5 = 0 for p.
4, 26
Solve 4*w**3 + 32*w**2 + 28*w = 0.
-7, -1, 0
Factor -y**2/6 + 15*y - 89/6.
-(y - 89)*(y - 1)/6
Solve 5*h**3/2 + 55*h**2/2 = 0.
-11, 0
What is x in 2*x**2/11 + 424*x - 4666/11 = 0?
-2333, 1
Factor -36*d**5 + 39*d**4 - 3*d**3.
-3*d**3*(d - 1)*(12*d - 1)
What is j in -2*j**3/7 - 36*j**2/7 - 130*j/7 + 24 = 0?
-12, -7, 1
Determine z, given that 4*z**4 - 112*z**3 + 108*z**2 = 0.
0, 1, 27
Factor -5*m**3 + 70*m**2 - 65*m.
-5*m*(m - 13)*(m - 1)
Factor -2*j**2/5 - 192*j/5 - 38.
-2*(j + 1)*(j + 95)/5
Find k, given that 15*k**2 - 6835*k + 4550 = 0.
2/3, 455
Factor -2*j**5/17 + 104*j**4/17 - 6*j**3.
-2*j**3*(j - 51)*(j - 1)/17
Factor o**2/12 + 9*o/2 - 55/12.
(o - 1)*(o + 55)/12
Determine p so that -4*p**2/5 - 52*p/5 - 24 = 0.
-10, -3
Find k such that -5*k**4 + 505*k**2 - 500 = 0.
-10, -1, 1, 10
Factor -226*v**3 - 903*v**2 - 900*v + 4.
-(v + 2)**2*(226*v - 1)
Factor 2*a**4/5 + 18*a**3/5 + 48*a**2/5 + 32*a/5.
2*a*(a + 1)*(a + 4)**2/5
Factor -2*j**2 - 32*j.
-2*j*(j + 16)
What is l in 16*l**5 - 908*l**4 + 11292*l**3 - 39104*l**2 - 10496*l = 0?
-1/4, 0, 8, 41
Factor 3*w**4 + 9*w**3 - 54*w**2 + 12*w + 72.
3*(w - 2)**2*(w + 1)*(w + 6)
Determine o so that 2*o**2 - 70*o = 0.
0, 35
Determine f so that 2*f**2/7 + 408*f/7 - 410/7 = 0.
-205, 1
Suppose 2*k**4/13 + 18*k**3/13 + 14*k**2/13 - 18*k/13 - 16/13 = 0. What is k?
-8, -1, 1
Solve -4*k**4 + 20*k**2 - 16 = 0 for k.
-2, -1, 1, 2
Let -a**2/7 - 184*a/7 - 8464/7 = 0. Calculate a.
-92
Suppose -4*q**5 + 8*q**4 - 8*q**2 + 4*q = 0. What is q?
-1, 0, 1
Find j such that 5*j**5 + 190*j**4 - 7120*j**3 + 72320*j**2 - 281600*j + 327680 = 0.
-64, 2, 8
Factor -4*i**2 + 101*i/5 - 1.
-(i - 5)*(20*i - 1)/5
Determine u, given that u**2 - 45*u - 46 = 0.
-1, 46
Factor 2*d**2/13 + 10*d - 132/13.
2*(d - 1)*(d + 66)/13
Factor 3*t**2/5 - 793*t/5 + 158.
(t - 1)*(3*t - 790)/5
Determine d, given that 2*d**4 + 12*d**3 + 10*d**2 = 0.
-5, -1, 0
Factor 5*p**2 - 210*p + 2205.
5*(p - 21)**2
Factor 2*z**2/11 - 314*z/11 + 1520/11.
2*(z - 152)*(z - 5)/11
Solve 5*d**4/7 + 22*d**3/7 + 8*d**2/7 = 0 for d.
-4, -2/5, 0
Factor 4*p**4 - 16*p**3 - 16*p**2 + 64*p.
4*p*(p - 4)*(p - 2)*(p + 2)
Factor -4*r**2 - 2008*r + 2012.
-4*(r - 1)*(r + 503)
Factor 5*k**2 - 100*k - 105.
5*(k - 21)*(k + 1)
Determine q so that 2*q**2/11 + 5652*q/11 + 3993138/11 = 0.
-1413
Factor 4*d**4 - 172*d**3 - 948*d**2 - 612*d + 1728.
4*(d - 48)*(d - 1)*(d + 3)**2
Suppose 3*s**4 - 5025*s**3 + 2106729*s**2 - 2101707*s = 0. What is s?
0, 1, 837
Solve -2*f**3/9 - 80*f**2/3 - 3200*f/3 - 128000/9 = 0 for f.
-40
Factor 4*y**2 - 24*y - 64.
4*(y - 8)*(y + 2)
Determine o, given that o**2 - 76*o = 0.
0, 76
Factor -j**3/3 + 32*j**2/3 - 256*j/3.
-j*(j - 16)**2/3
Suppose -u**3/6 - 12*u**2 + 73*u/6 = 0. Calculate u.
-73, 0, 1
What is p in -243*p**5 - 351*p**4 + 852*p**3 + 1392*p**2 + 480*p + 48 = 0?
-2, -1, -2/9, 2
Factor -5*b**3 - 125*b**2 - 230*b.
-5*b*(b + 2)*(b + 23)
Factor -3*a**4 + 15*a**3 + 36*a**2 - 228*a + 240.
-3*(a - 5)*(a - 2)**2*(a + 4)
Find b, given that -5*b**4 + 65*b**3 - 160*b**2 + 100*b = 0.
0, 1, 2, 10
Suppose -y**2/9 - y + 22/9 = 0. Calculate y.
-11, 2
Factor 6*r**3 - 22*r**2 - 96*r + 72.
2*(r - 6)*(r + 3)*(3*r - 2)
What is f in -45*f**4 - 141*f**3 - 18*f**2 = 0?
-3, -2/15, 0
Factor 3*x**2/5 - 36*x/5 - 1344/5.
3*(x - 28)*(x + 16)/5
Factor 4*r**2 + 280*r.
4*r*(r + 70)
Solve -f**5/3 + 4*f**4 + f**3/3 - 4*f**2 = 0 for f.
-1, 0, 1, 12
Factor -3*t**3 + 93*t**2 + 195*t + 99.
-3*(t - 33)*(t + 1)**2
Find s such that -3*s**4/7 - 57*s**3/7 - 45*s**2 - 21*s + 294 = 0.
-7, 2
Determine b, given that 3*b**4/8 + 9*b**3/8 - 3*b**2/4 - 9*b/2 - 3 = 0.
-2, -1, 2
Factor 4*y**4 + 60*y**3 - 4*y**2 - 60*y.
4*y*(y - 1)*(y + 1)*(y + 15)
Factor 4*x**3/5 - 232*x**2/5 + 452*x/5 - 224/5.
4*(x - 56)*(x - 1)**2/5
Factor h**5/9 - 20*h**4/9.
h**4*(h - 20)/9
Let -2*f**5/9 + 52*f**4/9 - 350*f**3/9 + 100*f**2/3 = 0. What is f?
0, 1, 10, 15
Factor -y**4/3 + y**3 + 6*y**2 + 4*y/3 - 8.
-(y - 6)*(y - 1)*(y + 2)**2/3
Factor 121*x**4 - 1045*x**3 - 1602*x**2 - 476*x - 40.
(x - 10)*(x + 1)*(11*x + 2)**2
Factor -3*c**3/4 + 261*c**2/2 + 525*c/4.
-3*c*(c - 175)*(c + 1)/4
Factor -l**5 + 92*l**4 - 2881*l**3 + 32490*l**2 - 56700*l + 27000.
-(l - 30)**3*(l - 1)**2
Determine a so that -2*a**4/3 - 40*a**3/3 - 200*a**2/3 = 0.
-10, 0
Let