- 160 = 0 for k.
-2, -1, 2/7, 10
Factor y**3 - 11*y**2 - 12*y.
y*(y - 12)*(y + 1)
Factor 4*i**4 - 12*i**3 - 52*i**2 + 60*i.
4*i*(i - 5)*(i - 1)*(i + 3)
Solve -3*t**3 - 117*t**2 - 312*t + 432 = 0.
-36, -4, 1
Factor 2*n**2/7 + 48*n/7.
2*n*(n + 24)/7
Factor -2*o**2/5 - 296*o.
-2*o*(o + 740)/5
Let -2*l**5/7 + 76*l**4/7 - 932*l**3/7 + 3224*l**2/7 + 6422*l/7 - 8788/7 = 0. What is l?
-2, 1, 13
Determine b so that b**3/4 + 525*b**2/4 + 2052*b + 8144 = 0.
-509, -8
Factor -2*h**5 - 8*h**4 - 8*h**3.
-2*h**3*(h + 2)**2
Factor 2*l**5/3 - 4*l**4 + 22*l**3/3 - 4*l**2/3 - 8*l + 16/3.
2*(l - 2)**3*(l - 1)*(l + 1)/3
Factor 3*l**2/5 - 93*l/5.
3*l*(l - 31)/5
Factor -2*s**3 + 6*s**2.
-2*s**2*(s - 3)
What is z in 9*z**3/4 + 21*z**2/2 - 21*z/4 - 15/2 = 0?
-5, -2/3, 1
Suppose -2*a**4/13 + 48*a**3/13 - 266*a**2/13 + 60*a/13 + 1600/13 = 0. What is a?
-2, 5, 16
Find c, given that 19*c**3/2 - 75*c**2/4 + 9*c + 1/4 = 0.
-1/38, 1
Let -3*h**2 + 234*h - 4563 = 0. What is h?
39
Suppose -5*w**3 - 10*w**2 + 25*w + 30 = 0. Calculate w.
-3, -1, 2
Find l such that l**5/7 + 64*l**4/7 + 942*l**3/7 - 64*l**2/7 - 943*l/7 = 0.
-41, -23, -1, 0, 1
Solve -2*t**2/7 + 284*t/7 - 7040/7 = 0.
32, 110
What is p in 4*p**2 + 1368*p + 1364 = 0?
-341, -1
Factor -3*d**3/2 + 21*d/2 + 9.
-3*(d - 3)*(d + 1)*(d + 2)/2
Factor -z**2/2 + z/6 + 5.
-(z + 3)*(3*z - 10)/6
Solve -4*c**3/3 - 44*c**2/3 - 128*c/3 - 112/3 = 0.
-7, -2
Factor -405*t**4 - 5040*t**3 - 2180*t**2 - 240*t.
-5*t*(t + 12)*(9*t + 2)**2
Factor p**2/8 + 101*p/4 + 10201/8.
(p + 101)**2/8
What is b in 3*b**2/2 - 6*b - 594 = 0?
-18, 22
Factor -2*w**5/11 - 34*w**4/11 - 224*w**3/11 - 64*w**2 - 1024*w/11 - 512/11.
-2*(w + 1)*(w + 4)**4/11
Let -70*n**5 + 205*n**4 - 325*n**2 + 70*n + 120 = 0. What is n?
-1, -4/7, 1, 3/2, 2
Factor 2*k**2/9 + 910*k/9.
2*k*(k + 455)/9
Suppose j**5/8 - j**4/4 - 3*j**3/8 + j**2 - j/2 = 0. What is j?
-2, 0, 1, 2
Factor -r**2 + 112*r - 3136.
-(r - 56)**2
Factor s**3/8 - s**2/2 - 9*s/8 + 9/2.
(s - 4)*(s - 3)*(s + 3)/8
Suppose 14*r**5 - 60*r**4 - 166*r**3 + 108*r**2 + 152*r - 48 = 0. What is r?
-2, -1, 2/7, 1, 6
Find u such that 2*u**3/5 + 8*u**2 - 354*u/5 + 648/5 = 0.
-27, 3, 4
Determine c, given that -2*c**3 - 370*c**2 - 1096*c - 728 = 0.
-182, -2, -1
Factor -23*q**3/6 - 829*q**2/3 - 4992*q - 432.
-(q + 36)**2*(23*q + 2)/6
Let 3*z**4 + 72*z**3 + 255*z**2 + 306*z + 120 = 0. What is z?
-20, -2, -1
Solve 16*f**4 + 300*f**3 - 416*f**2 - 300*f + 400 = 0 for f.
-20, -1, 1, 5/4
Factor -6*f**3/11 + 48*f**2/11 - 114*f/11 + 72/11.
-6*(f - 4)*(f - 3)*(f - 1)/11
Factor 100*w**4 - 420*w**3 + 216*w**2 + 400*w + 96.
4*(w - 3)*(w - 2)*(5*w + 2)**2
Determine d, given that 5*d**5/3 + 25*d**4/3 + 5*d**3/3 - 65*d**2/3 - 10*d/3 + 40/3 = 0.
-4, -2, -1, 1
Determine x so that -2*x**3 + 58*x**2 - 292*x + 368 = 0.
2, 4, 23
Factor 5*a**2/3 - 29*a/6 - 1/2.
(a - 3)*(10*a + 1)/6
Factor -5547*z**2/4 - 3870*z - 2700.
-3*(43*z + 60)**2/4
Factor 2*w**3/11 - 18*w**2/11 + 12*w/11 + 112/11.
2*(w - 7)*(w - 4)*(w + 2)/11
Suppose 2*n**2/11 - 438*n/11 + 1720/11 = 0. Calculate n.
4, 215
Factor 4920750*p**3 + 218700*p**2 + 3240*p + 16.
2*(135*p + 2)**3
Factor o**4/3 + 2*o**3 - 15*o**2 - 50*o/3.
o*(o - 5)*(o + 1)*(o + 10)/3
Factor -2*x**3 + 632*x**2 - 49928*x.
-2*x*(x - 158)**2
Determine u, given that 2*u**3/5 + 18*u**2/5 + 46*u/5 + 6 = 0.
-5, -3, -1
Factor 2*a**4/3 - 4*a**3/3 - 14*a**2/3 - 8*a/3.
2*a*(a - 4)*(a + 1)**2/3
What is w in 7*w**5/2 - 19*w**4 + 71*w**3/2 - 26*w**2 + 6*w = 0?
0, 3/7, 1, 2
Factor -x**3 + x**2 + 9*x - 9.
-(x - 3)*(x - 1)*(x + 3)
Factor 3*l**3/7 + 18*l**2/7 - 27*l/7 - 6.
3*(l - 2)*(l + 1)*(l + 7)/7
Find b such that 5*b**3 - 675*b**2 + 21000*b - 190000 = 0.
20, 95
Find l such that 2*l**3/5 + 2*l**2/5 - 2*l/5 - 2/5 = 0.
-1, 1
What is a in -84*a**4 - 111*a**3 - 57*a**2/2 - 3*a/2 = 0?
-1, -1/4, -1/14, 0
Factor r**3/6 - 20*r**2/3 + 13*r/2.
r*(r - 39)*(r - 1)/6
Suppose x**2 - 679*x + 678 = 0. What is x?
1, 678
Solve 21*d**2 + 1413*d + 402 = 0.
-67, -2/7
Find c, given that -c**2/7 + 219*c/7 = 0.
0, 219
Factor p**5 + 8*p**4 + 15*p**3 - 8*p**2 - 16*p.
p*(p - 1)*(p + 1)*(p + 4)**2
Factor -3*y**2/7 - 27*y/7 + 6996/7.
-3*(y - 44)*(y + 53)/7
Solve -5*x**2 - 100*x - 180 = 0.
-18, -2
Factor -5*z**3 + 55*z**2 + 230*z - 280.
-5*(z - 14)*(z - 1)*(z + 4)
Factor 2*s**2/7 - 2*s/7.
2*s*(s - 1)/7
Factor -4*m**3 - 20*m**2 + 48*m + 144.
-4*(m - 3)*(m + 2)*(m + 6)
Factor -l**3/3 - 25*l**2/3 - 43*l/3 + 23.
-(l - 1)*(l + 3)*(l + 23)/3
Let 4*p**2 + 1680*p + 176400 = 0. Calculate p.
-210
Find h such that 7*h**5 - 46*h**4 + 21*h**3 + 242*h**2 - 128*h - 96 = 0.
-2, -3/7, 1, 4
Factor 5*r**3/2 - 1515*r**2 + 228000*r + 462080.
5*(r - 304)**2*(r + 2)/2
Let -2*x**5 - 26*x**4 - 112*x**3 - 184*x**2 - 96*x = 0. What is x?
-6, -4, -2, -1, 0
Solve -4*f**5 - 4*f**4 + 24*f**3 + 16*f**2 - 32*f = 0 for f.
-2, 0, 1, 2
What is v in -v**4 + 2*v**3 + 7*v**2 - 20*v + 12 = 0?
-3, 1, 2
Find r, given that r**4/10 + 11*r**3/5 + 153*r**2/10 + 162*r/5 = 0.
-9, -4, 0
Factor -25*o**4 + 40*o**3 + 395*o**2 + 150*o.
-5*o*(o - 5)*(o + 3)*(5*o + 2)
Solve -2*r**2 - 106*r + 108 = 0 for r.
-54, 1
Factor -243*z**4/4 + 837*z**3/4 - 84*z**2 + 9*z.
-3*z*(z - 3)*(9*z - 2)**2/4
Factor 2*v**2/7 - 16*v/7 - 40/7.
2*(v - 10)*(v + 2)/7
Determine k, given that 2*k**2/3 - 178*k/3 + 172 = 0.
3, 86
Find w such that 4*w**3 + 184*w**2 + 180*w = 0.
-45, -1, 0
Factor 21*l**2 - 9*l - 12.
3*(l - 1)*(7*l + 4)
Find b such that 5*b**5/3 + 65*b**4 + 570*b**3 + 4880*b**2/3 + 1120*b = 0.
-28, -6, -4, -1, 0
Factor 5*c**2 + 16360*c + 13382480.
5*(c + 1636)**2
Factor -5*u**3 + 3010*u**2 - 458965*u + 1788020.
-5*(u - 299)**2*(u - 4)
Factor 4*r**4 - 1152*r**3 - 1160*r**2 + 1152*r + 1156.
4*(r - 289)*(r - 1)*(r + 1)**2
Determine a so that -3*a**5 + 30*a**4 - 48*a**3 = 0.
0, 2, 8
Let -n**5/6 + 20*n**4/3 - 43*n**3 - 1472*n**2/3 - 2645*n/6 = 0. Calculate n.
-5, -1, 0, 23
Let -q**4/2 + 129*q**3 - 8054*q**2 - 34977*q + 85805/2 = 0. Calculate q.
-5, 1, 131
Suppose 6*r**3 - 38*r**2 - 84*r + 32 = 0. What is r?
-2, 1/3, 8
What is i in -16*i**2 - 308*i - 832 = 0?
-16, -13/4
Let -i**4/4 - 13*i**3/2 - 18*i**2 - 35*i/2 - 23/4 = 0. What is i?
-23, -1
Factor 4*b**4/5 + 36*b**3/5 - 84*b**2/5 + 44*b/5.
4*b*(b - 1)**2*(b + 11)/5
Factor w**3/4 - 37*w**2/4.
w**2*(w - 37)/4
Find q, given that -3*q**2 - 1896*q + 5715 = 0.
-635, 3
Let -s**2/2 + 1380*s = 0. Calculate s.
0, 2760
Solve 2*v**4/7 + 14*v**3 + 190*v**2/7 + 94*v/7 = 0 for v.
-47, -1, 0
Factor 2*d**3 - 56*d**2/5 + 26*d/5 + 4.
2*(d - 5)*(d - 1)*(5*d + 2)/5
Factor -2*b**2/11 - 4*b/11 + 48/11.
-2*(b - 4)*(b + 6)/11
Factor 3*a**3 - 42*a**2 + 93*a + 378.
3*(a - 9)*(a - 7)*(a + 2)
Solve 12*s**4 + 64*s**3 - 12*s**2 - 144*s + 80 = 0 for s.
-5, -2, 2/3, 1
Factor -3*i**2/7 - 18294*i/7 - 27889203/7.
-3*(i + 3049)**2/7
Determine c so that 75*c**5 - 530*c**4 + 875*c**3 + 380*c**2 - 860*c + 240 = 0.
-1, 2/5, 2/3, 3, 4
Determine t, given that -35*t**5 - 80*t**4 - 20*t**3 + 70*t**2 + 55*t + 10 = 0.
-1, -2/7, 1
Suppose u**5/4 - u**4 - 12*u**3 + 27*u**2/2 + 783*u/4 + 567/2 = 0. What is u?
-3, 6, 7
Let 5*w**4 + 135*w**3 + 215*w**2 - 855*w + 500 = 0. What is w?
-25, -4, 1
Solve -21*c**3 - 1014*c**2 + 1785*c - 750 = 0 for c.
-50, 5/7, 1
Let 3*b**2/4 + 6*b + 12 = 0. What is b?
-4
Factor -2*n**2/11 - 3164*n/11 - 1251362/11.
-2*(n + 791)**2/11
Let m**5/3 - m**3 - 2*m**2/3 = 0. Calculate m.
-1, 0, 2
Factor s**2 + 358*s - 359.
(s - 1)*(s + 359)
Factor 2*x**5 + 92*x**4 + 90*x**3.
2*x**3*(x + 1)*(x + 45)
Let 2*m**2/11 + 1928*m/11 + 464648/11 = 0. What is m?
-482
Factor z**2/2 + 17*z.
z*(z + 34)/2
Factor t**4 + 18*t**3 + 33*t**2 - 484*t.
t*(t - 4)*(t + 11)**2
Solve 6*a**2/7 - 132*a/7 + 342/7 = 0.
3, 19
Factor 3*l**2 + 42*l - 153.
3*(l - 3)*(l + 17)
Let u**5 + u**4 - 6*u**3 = 0. Calculate u.
-3, 0, 2
Suppose 4*d**2 + 16*d + 16 = 0. What is d?
-2
What is y in 14*y**4 + 2678*y**3 + 11278*y**2 + 10858*y + 2244 = 0?
-187, -3, -1, -2/7
Let 242*r**2/15 - 18040*r/3 + 1681000/3 = 0. What is r?
2050/11
Suppose 2*i**3/13 - 12*i**2/13 + 16*i/13 = 0. What is i?
0, 2, 4
Find y such that y**5 + 29*y**4 + 122*y**3 - 1334*y**2 + 1173*y + 2601 = 0.
-17, -1, 3
Let -2*o**2/23 + 74*o/23 + 156/23 = 0. Calculate o.
-2, 39
Factor -12*f**3 + 88*f**2 + 4204*f + 2760.
-4*(f - 23)*(f + 15)*(3*f + 2)
Factor -x**2/12 - 1375*x/3 - 1890625/3.
-(x + 2750)**2/12
F