0.
-28
Determine u so that u**5 - 16*u**4 + 40*u**3 - 10*u**2 - 41*u + 26 = 0.
-1, 1, 2, 13
Factor w**2/2 - 69*w + 4761/2.
(w - 69)**2/2
Factor 2*b**3/9 + 52*b**2/9 - 232*b/9 + 80/3.
2*(b - 2)**2*(b + 30)/9
Factor -f**2/7 + 498*f - 434007.
-(f - 1743)**2/7
Factor 3*m**3/2 - 57*m**2/2 - 63*m.
3*m*(m - 21)*(m + 2)/2
Find i such that -i**2 + 208*i + 420 = 0.
-2, 210
Solve -2*c**2/17 + 24*c/17 + 56/17 = 0 for c.
-2, 14
Let -2*v**5/7 - 2*v**4/7 = 0. Calculate v.
-1, 0
Factor 5*g**3 + 55*g**2.
5*g**2*(g + 11)
Factor 5*y**3 + 270*y**2 - 1140*y + 1160.
5*(y - 2)**2*(y + 58)
Solve -33*x**4 - 30*x**3 + 72*x**2 = 0 for x.
-2, 0, 12/11
Factor 5*c**2 - 250*c - 255.
5*(c - 51)*(c + 1)
Solve -3*o**3/4 - 45*o**2/4 + 99*o/4 - 51/4 = 0 for o.
-17, 1
What is a in 5*a**4 + 15*a**3 - 20*a**2 - 60*a = 0?
-3, -2, 0, 2
Factor -5*o**2 - 7820*o.
-5*o*(o + 1564)
What is l in l**2/3 + 44*l/3 - 605/3 = 0?
-55, 11
Factor -4*w**5 + 4*w**4 + 20*w**3 + 12*w**2.
-4*w**2*(w - 3)*(w + 1)**2
What is i in 5*i**5 + 80*i**4 - 130*i**3 - 820*i**2 - 955*i - 340 = 0?
-17, -1, 4
Find u such that -2*u**2 - 8*u + 24 = 0.
-6, 2
Factor 2*p**5 + 2*p**4 - 18*p**3 - 18*p**2.
2*p**2*(p - 3)*(p + 1)*(p + 3)
Factor 6*t**2 + 74*t + 24.
2*(t + 12)*(3*t + 1)
Factor 2*l**4 - 60*l**3 + 184*l**2 + 5040*l - 10368.
2*(l - 18)**2*(l - 2)*(l + 8)
What is h in -2*h**2 + 324*h - 13122 = 0?
81
Let -3*t**4 + 48*t**3 - 192*t**2 = 0. Calculate t.
0, 8
Factor -f**2 - 7*f + 8.
-(f - 1)*(f + 8)
Factor 2*r**2/7 - 2*r/7 - 492.
2*(r - 42)*(r + 41)/7
Find p, given that -p**3 - 24*p**2 + 81*p = 0.
-27, 0, 3
Solve g**4/11 + g**3/11 - 2*g**2 + 4*g - 24/11 = 0.
-6, 1, 2
Factor 2*h**3 - 2862*h**2 + 1365174*h - 217062666.
2*(h - 477)**3
Factor 2*r**3/9 - 34*r**2/9 - 56*r/3.
2*r*(r - 21)*(r + 4)/9
Factor -2*y**4 + 1114*y**3 - 205326*y**2 + 12239150*y + 52313624.
-2*(y - 187)**3*(y + 4)
Factor 2*y**4/9 + 4*y**3/9 - 58*y**2/9 - 20*y/3.
2*y*(y - 5)*(y + 1)*(y + 6)/9
Let 4*v**5/3 + 4*v**4 - 8*v**3/3 - 8*v**2 + 4*v/3 + 4 = 0. Calculate v.
-3, -1, 1
Factor -3*j**2 - 198*j - 2400.
-3*(j + 16)*(j + 50)
Let -4*o**3 - 420*o**2 - 14268*o - 154652 = 0. Calculate o.
-41, -23
Suppose -2*d**4/11 - 12*d**3/11 + 16*d**2/11 + 12*d/11 - 14/11 = 0. What is d?
-7, -1, 1
Factor -c**3 + 17*c**2 - 44*c + 28.
-(c - 14)*(c - 2)*(c - 1)
Find i such that i**5/4 + i**4/2 - i**3/2 - i**2 + i/4 + 1/2 = 0.
-2, -1, 1
Factor 7*i**5 + i**4 - 7*i**3 - i**2.
i**2*(i - 1)*(i + 1)*(7*i + 1)
Find o, given that o**5 + 7*o**4 + 16*o**3 + 12*o**2 = 0.
-3, -2, 0
Factor 5*c**5 + 55*c**4 + 180*c**3 + 80*c**2 - 320*c.
5*c*(c - 1)*(c + 4)**3
Determine u so that 3*u**5 + 137*u**4/3 - 11*u**3 - 905*u**2/3 + 204*u + 60 = 0.
-15, -3, -2/9, 1, 2
Determine f, given that -20*f**5 + 5*f**4 + 20*f**3 - 5*f**2 = 0.
-1, 0, 1/4, 1
Solve -2*s**4/9 + 34*s**3/3 + 70*s**2/3 + 106*s/9 = 0.
-1, 0, 53
Determine f, given that f**2/4 + 429*f + 184041 = 0.
-858
Find d such that -2*d**2 + 388*d + 390 = 0.
-1, 195
Determine r so that -5*r**4 + 5*r**3 + 100*r**2 = 0.
-4, 0, 5
Factor -4*w**2/5 + 13*w/5 - 3/5.
-(w - 3)*(4*w - 1)/5
Factor -46*a**2/9 + 106*a/3 + 28/9.
-2*(a - 7)*(23*a + 2)/9
Factor -12*s**2 - 716*s + 240.
-4*(s + 60)*(3*s - 1)
Let 2*i**2/17 - 4*i + 570/17 = 0. Calculate i.
15, 19
Factor -2*c**2 - 276*c - 9522.
-2*(c + 69)**2
Factor -5*m**3 - 75*m**2 + 1440*m + 21760.
-5*(m - 17)*(m + 16)**2
Solve -3*k**3 - 363*k**2 - 11160*k - 10800 = 0 for k.
-60, -1
Suppose 3*d**2/2 - 10845*d + 39204675/2 = 0. Calculate d.
3615
Factor 3*m**3/2 - 159*m**2 - 321*m/2.
3*m*(m - 107)*(m + 1)/2
What is u in -56*u**4/11 - 32*u**3/11 + 10*u**2/11 + 6*u/11 = 0?
-1/2, 0, 3/7
Let 3*s**2 + 882*s + 879 = 0. What is s?
-293, -1
Suppose 2*i**3/11 + 10*i**2/11 - 2*i/11 - 10/11 = 0. Calculate i.
-5, -1, 1
What is d in d**2/3 + 201*d + 602/3 = 0?
-602, -1
Solve 12*p**4 + 28*p**3 + 20*p**2 + 4*p = 0 for p.
-1, -1/3, 0
Determine j, given that -3*j**4 + 36*j**3 - 150*j**2 + 252*j - 135 = 0.
1, 3, 5
Factor -u**5 - 15*u**4 - 49*u**3 - 57*u**2 - 22*u.
-u*(u + 1)**2*(u + 2)*(u + 11)
Factor t**3/5 - 91*t**2 + 51983*t/5 - 51529/5.
(t - 227)**2*(t - 1)/5
Determine w, given that -176*w**5 - 204*w**4 - 24*w**3 + 4*w**2 = 0.
-1, -1/4, 0, 1/11
Let -3*g**3/2 - 418*g**2 + 4539*g/2 - 710 = 0. Calculate g.
-284, 1/3, 5
Factor 2*r**3/7 + 3546*r**2/7 + 2095686*r/7 + 412850142/7.
2*(r + 591)**3/7
Let -2*z**4/3 - 100*z**3/3 - 264*z**2 - 756*z - 738 = 0. Calculate z.
-41, -3
Factor h**4/10 + 53*h**3/10.
h**3*(h + 53)/10
Determine c so that 2*c**4 + 16*c**3 - 294*c**2 + 236*c + 544 = 0.
-17, -1, 2, 8
Factor 4*x**4 + 208*x**3 - 220*x**2 - 424*x.
4*x*(x - 2)*(x + 1)*(x + 53)
Find h such that -3*h**2/5 - 18*h/5 - 3 = 0.
-5, -1
Suppose -2*q**3/5 - 454*q**2 + 9104*q/5 - 9112/5 = 0. What is q?
-1139, 2
Determine o so that -14*o**3/15 + 7046*o**2/15 - 1808*o/3 + 2008/15 = 0.
2/7, 1, 502
Let 2*q**3/9 + 4*q**2/9 - 14*q/3 + 4 = 0. Calculate q.
-6, 1, 3
Factor 3*s**2 - 111*s + 108.
3*(s - 36)*(s - 1)
Factor -2*h**3/13 - 22*h**2/13.
-2*h**2*(h + 11)/13
Factor 2*l**2 + 1056*l + 139392.
2*(l + 264)**2
Factor -i**4/3 + 4*i**3/3 + 10*i**2/3 - 28*i/3 + 5.
-(i - 5)*(i - 1)**2*(i + 3)/3
Factor a**4 + 3*a**3 - 9*a**2 + 5*a.
a*(a - 1)**2*(a + 5)
Factor 3*t**2 - 33*t - 78.
3*(t - 13)*(t + 2)
What is s in -5*s**3 + 405*s**2 + 410*s = 0?
-1, 0, 82
Factor 5*h**3/4 - 43*h**2/4 - 17*h - 5.
(h - 10)*(h + 1)*(5*h + 2)/4
Let -4*c**2/9 - 28*c/3 + 88/9 = 0. Calculate c.
-22, 1
Solve -2*m**4/3 + 22*m**3 - 54*m**2 - 198*m + 540 = 0.
-3, 3, 30
Let 3*n**2/7 + 5700*n/7 + 5697/7 = 0. Calculate n.
-1899, -1
Determine q so that q**5/4 - 5*q**4/4 - 11*q**3/4 + 73*q**2/4 - 49*q/2 + 10 = 0.
-4, 1, 2, 5
Factor -12*u**3/5 - 5624*u**2/5 - 660816*u/5 - 438048/5.
-4*(u + 234)**2*(3*u + 2)/5
Factor -c**2/7 + 27*c/7 - 180/7.
-(c - 15)*(c - 12)/7
Suppose 16*n**5 + 308*n**4 - 288*n**3 - 892*n**2 + 1336*n - 480 = 0. What is n?
-20, -2, 3/4, 1
Solve -148*g**3 + 100*g**2 + 48*g = 0 for g.
-12/37, 0, 1
Find a such that 19*a**2/3 - 40*a/3 + 4/3 = 0.
2/19, 2
Suppose 2*i**5/3 - 20*i**4/3 + 32*i**3/3 = 0. What is i?
0, 2, 8
Determine b so that b**3/2 - 27*b**2/4 + 17*b/2 + 6 = 0.
-1/2, 2, 12
Factor -2*g**3/9 + 14*g**2/9 + 34*g/9 + 2.
-2*(g - 9)*(g + 1)**2/9
Factor -h**4 - 10*h**3 + 56*h**2.
-h**2*(h - 4)*(h + 14)
Solve -2*v**2 - 222*v = 0 for v.
-111, 0
Factor 2*v**3 + 16*v**2 - 74*v - 88.
2*(v - 4)*(v + 1)*(v + 11)
Suppose -r**5 + 42*r**4/5 - 106*r**3/5 + 116*r**2/5 - 57*r/5 + 2 = 0. Calculate r.
2/5, 1, 5
Factor 3*d**4 + 30*d**3 + 24*d**2 - 30*d - 27.
3*(d - 1)*(d + 1)**2*(d + 9)
Factor 2*o**4 + 44*o**3 - 1158*o**2 + 2176*o - 1064.
2*(o - 14)*(o - 1)**2*(o + 38)
Let -y**5 + 3*y**4 + 7*y**3 - 11*y**2 - 6*y + 8 = 0. Calculate y.
-2, -1, 1, 4
Factor -684*w**4 - 2751*w**3 - 2796*w**2 - 60*w.
-3*w*(w + 2)**2*(228*w + 5)
Factor z**4/3 - 5*z**3/3 + z**2 + 5*z/3 - 4/3.
(z - 4)*(z - 1)**2*(z + 1)/3
Suppose y**3/4 + 15*y**2/4 + 8*y - 33 = 0. Calculate y.
-11, -6, 2
Find w, given that 2*w**4/5 - 258*w**3/5 + 246*w**2/5 + 1274*w/5 + 768/5 = 0.
-1, 3, 128
Find g, given that -20*g**3 - 1125*g**2 + 2310*g - 1165 = 0.
-233/4, 1
Factor -d**2 - 28*d + 29.
-(d - 1)*(d + 29)
Factor -3*c**4/4 + 6*c**3 - 45*c**2/4.
-3*c**2*(c - 5)*(c - 3)/4
Factor -v**2/8 - 7*v/4 - 13/8.
-(v + 1)*(v + 13)/8
Suppose -f**5 + 163*f**4 + 167*f**3 - 491*f**2 - 166*f + 328 = 0. Calculate f.
-2, -1, 1, 164
Factor -3*t**3 - 63*t**2 - 216*t + 1296.
-3*(t - 3)*(t + 12)**2
Determine i so that 15*i**5 + 51*i**4 + 3*i**3 - 51*i**2 - 18*i = 0.
-3, -1, -2/5, 0, 1
Suppose -21*v**3 - 295*v**2 - 12*v + 28 = 0. Calculate v.
-14, -1/3, 2/7
Let d**3 + 22*d**2 + 161*d + 392 = 0. What is d?
-8, -7
Let -w**5/3 + 5*w**4 + 2*w**3/3 - 10*w**2 - w/3 + 5 = 0. What is w?
-1, 1, 15
Find u, given that u**4/3 + 82*u**3/3 - 85*u**2 + 4*u/3 + 340/3 = 0.
-85, -1, 2
Factor -5*k**2 + 285*k + 290.
-5*(k - 58)*(k + 1)
Factor 6*l**2 - 1268*l - 848.
2*(l - 212)*(3*l + 2)
Determine w, given that -5*w**2 - 640*w - 20480 = 0.
-64
Let -2*t**4 + 16*t**3 + 20*t**2 - 16*t - 18 = 0. What is t?
-1, 1, 9
Suppose -10*l**5/9 - 154*l**4/9 - 50*l**3 + 394*l**2/9 + 220*l/9 = 0. Calculate l.
-11, -5, -2/5, 0, 1
Factor -b**2/2 + 82*b - 3362.
-(b - 82)**2/2
Suppose f**3/2 - 162*f**2 + 641*f/2 + 483 = 0. What is f?
-1, 3, 322
Factor 2*l**4/9 - 8*l**3/9 - 2*l**2/9 + 8*l/9.
2*l*(l - 4)*(l - 1