 y.
4, 16
Suppose 5*w**5 + 50*w**4 + 135*w**3 + 70*w**2 - 140*w - 120 = 0. Calculate w.
-6, -2, -1, 1
Factor 5*j**5 + 25*j**4 + 40*j**3 + 20*j**2.
5*j**2*(j + 1)*(j + 2)**2
Factor -q**2/9 + q/9 + 10/3.
-(q - 6)*(q + 5)/9
Suppose -g**5/4 + g**4/4 + 3*g**3/2 - g**2 - 2*g = 0. Calculate g.
-2, -1, 0, 2
Find b such that -20*b**3 - 1995*b**2/4 - 3555*b/4 + 115/2 = 0.
-23, -2, 1/16
Solve 2*s**2 + 186*s - 7076 = 0 for s.
-122, 29
Factor 4*u**3/7 + 1308*u**2/7 + 106272*u/7 - 107584/7.
4*(u - 1)*(u + 164)**2/7
Suppose d**3/3 + 3967*d**2/3 + 3932288*d/3 - 3936256/3 = 0. What is d?
-1984, 1
Solve 2*z**3/5 + 52*z**2/5 + 384*z/5 + 576/5 = 0 for z.
-12, -2
Find o, given that 81*o**2/11 - 666*o/11 + 1369/11 = 0.
37/9
Factor -5*a**4 + 750*a**3 + 4635*a**2 + 7020*a.
-5*a*(a - 156)*(a + 3)**2
Factor -r**3 - 58*r**2/7 + 47*r/7 + 18/7.
-(r - 1)*(r + 9)*(7*r + 2)/7
Factor 2744*a**3/5 - 588*a**2/5 + 42*a/5 - 1/5.
(14*a - 1)**3/5
Find g, given that 2*g**4/7 + 101*g**3/7 + 218*g**2/7 - 1041*g/7 + 720/7 = 0.
-48, -5, 1, 3/2
Factor -d**2/2 + 13*d - 25/2.
-(d - 25)*(d - 1)/2
Find o such that -38*o**2 - 680*o + 72 = 0.
-18, 2/19
Suppose -9*r**2/8 + 3*r - 3/2 = 0. Calculate r.
2/3, 2
Factor 2*k**3/5 - 6*k**2/5 - 18*k - 162/5.
2*(k - 9)*(k + 3)**2/5
Factor x**5 + 2*x**4 - 68*x**3 - 424*x**2 - 896*x - 640.
(x - 10)*(x + 2)**2*(x + 4)**2
Suppose 9*h**5/4 + 21*h**4/2 + 3*h**3 - 27*h**2/2 - 21*h/4 + 3 = 0. Calculate h.
-4, -1, 1/3, 1
Solve 2*j**3/3 - 26*j**2/3 + 80*j/3 - 24 = 0.
2, 9
Suppose -3*z**4/2 + 108*z**3 + 897*z**2/2 + 567*z + 228 = 0. Calculate z.
-2, -1, 76
Let 3*i**5 + 21*i**4 + 42*i**3 + 6*i**2 - 45*i - 27 = 0. What is i?
-3, -1, 1
Factor 3*n**3 + 60*n**2 + 51*n - 114.
3*(n - 1)*(n + 2)*(n + 19)
Find r, given that -2*r**5/9 + 70*r**4/9 - 22*r**3 + 194*r**2/9 - 64*r/9 = 0.
0, 1, 32
Factor 14*i**2/3 - 10*i/3 - 12.
2*(i - 2)*(7*i + 9)/3
Factor 2*l**3 + 194*l**2 - 2*l - 194.
2*(l - 1)*(l + 1)*(l + 97)
Find s such that 6*s**3/11 + 20*s**2/11 + 6*s/11 = 0.
-3, -1/3, 0
Factor q**3/2 + 7*q**2/2 + 7*q + 4.
(q + 1)*(q + 2)*(q + 4)/2
Determine r, given that 10*r**3/19 + 184*r**2/19 + 72*r/19 = 0.
-18, -2/5, 0
Suppose 4*v**4 + 124*v**3 - 148*v**2 - 652*v - 384 = 0. What is v?
-32, -1, 3
Factor -2*b**4/11 + 2*b**3 - 70*b**2/11 + 50*b/11.
-2*b*(b - 5)**2*(b - 1)/11
Factor -5*n**4 + 10*n**3 + 75*n**2 - 180*n.
-5*n*(n - 3)**2*(n + 4)
Solve -s**4 - 17*s**3 - 82*s**2 - 12*s + 504 = 0.
-7, -6, 2
Solve 2*q**2 - 372*q - 3920 = 0 for q.
-10, 196
Let 80*z**5 + 1320*z**4 - 5475*z**3 + 2485*z**2 - 300*z = 0. Calculate z.
-20, 0, 1/4, 3
Determine x so that 4*x**3/19 - 90*x**2/19 - 244*x/19 - 150/19 = 0.
-3/2, -1, 25
Factor 4*n**4 - 192*n**3/5 - 16*n**2.
4*n**2*(n - 10)*(5*n + 2)/5
Factor -x**5 + 24*x**4.
-x**4*(x - 24)
Factor -5*j**4 - 35*j**3 - 35*j**2 + 75*j.
-5*j*(j - 1)*(j + 3)*(j + 5)
Factor d**3 - 19*d**2 + 80*d + 100.
(d - 10)**2*(d + 1)
Solve h**2/5 - 1096*h/5 - 1097/5 = 0.
-1, 1097
Factor -2*x**4 - 352*x**3 + 712*x**2.
-2*x**2*(x - 2)*(x + 178)
Factor 3*k**5 - 18*k**4 + 12*k**3 + 72*k**2 - 96*k.
3*k*(k - 4)*(k - 2)**2*(k + 2)
Factor i**2/3 + 1682*i/3.
i*(i + 1682)/3
Factor -88*p**3 + 348*p**2 + 16*p.
-4*p*(p - 4)*(22*p + 1)
Factor -3*w**3 + 111*w**2 + 1383*w + 1269.
-3*(w - 47)*(w + 1)*(w + 9)
Factor 2*i**4/9 - 184*i**3/9.
2*i**3*(i - 92)/9
Determine r, given that 2*r**5/15 + 26*r**4/15 - 92*r**3/15 + 64*r**2/15 = 0.
-16, 0, 1, 2
Solve i**5 - 6*i**4 + 9*i**3 - 4*i**2 = 0.
0, 1, 4
Determine u, given that 4*u**2 - 2316*u + 11480 = 0.
5, 574
What is g in 4*g**5 - 8*g**4 - 8*g**3 + 16*g**2 + 4*g - 8 = 0?
-1, 1, 2
Suppose -120*p**4/7 - 16*p**3/7 + 106*p**2/7 - 10*p/7 - 12/7 = 0. Calculate p.
-1, -3/10, 1/2, 2/3
Factor 2*f**3/15 - 136*f**2/5 - 138*f/5 + 164/3.
2*(f - 205)*(f - 1)*(f + 2)/15
Suppose r**5/3 - 5*r**4/3 - 5*r**3/3 + 15*r**2 - 36 = 0. Calculate r.
-2, 3
Find s such that -4609609*s**2 - 8588*s - 4 = 0.
-2/2147
What is j in -j**4/8 - 159*j**3/8 - 389*j**2/4 - 309*j/2 - 77 = 0?
-154, -2, -1
Find b such that -b**3/2 - 689*b**2 - 474721*b/2 = 0.
-689, 0
Factor 2*d**2/7 - 88*d/7 - 102.
2*(d - 51)*(d + 7)/7
Factor -3*n**2 - 114*n - 111.
-3*(n + 1)*(n + 37)
Factor 2*v**4 - v**3 - 2*v**2 + v.
v*(v - 1)*(v + 1)*(2*v - 1)
Determine l so that 10*l**4 + 8*l**3 - 92*l**2 - 72*l + 18 = 0.
-3, -1, 1/5, 3
Solve -3*b**4 + 83*b**3 - 434*b**2 = 0.
0, 7, 62/3
Solve 10*t**2 - 2125*t + 1060 = 0.
1/2, 212
Factor 3*c**3 + 3*c**2 - 3*c - 3.
3*(c - 1)*(c + 1)**2
What is u in 5*u**5 - 85*u**4 + 120*u**3 + 3520*u**2 - 18560*u + 26880 = 0?
-7, 4, 12
Factor 3*h**3 - 18*h**2 - 12*h + 72.
3*(h - 6)*(h - 2)*(h + 2)
Factor v**2/2 + 109*v + 11881/2.
(v + 109)**2/2
Factor v**2/10 + 9*v/5 + 36/5.
(v + 6)*(v + 12)/10
Let 16*r**2 - 560*r + 4900 = 0. What is r?
35/2
Factor f**2/3 + 6*f + 80/3.
(f + 8)*(f + 10)/3
Let -2*d**2 - 198*d - 196 = 0. What is d?
-98, -1
Factor 3*m**3 - 15*m**2 - 96*m - 108.
3*(m - 9)*(m + 2)**2
Solve -3*g**5/5 + 12*g**4/5 - 18*g**3/5 + 12*g**2/5 - 3*g/5 = 0.
0, 1
Determine m, given that 4*m**2/5 + 616*m/5 + 23716/5 = 0.
-77
Determine p so that -5*p**5/7 - 27*p**4/7 + 45*p**3/7 + 187*p**2/7 + 156*p/7 + 36/7 = 0.
-6, -1, -2/5, 3
Let 40*d**3/7 + 202*d**2/7 + 8*d/7 - 10/7 = 0. What is d?
-5, -1/4, 1/5
Solve 6*f**2/7 - 86*f/7 + 4 = 0 for f.
1/3, 14
Factor 3*f**4 + 102*f**3 + 1056*f**2 + 3456*f.
3*f*(f + 8)**2*(f + 18)
What is i in -14*i**4 - 74*i**3/3 - 104*i**2/9 - 8*i/9 = 0?
-1, -2/3, -2/21, 0
Suppose -2*u**4 + 18*u**3 - 16*u**2 - 120*u = 0. What is u?
-2, 0, 5, 6
Solve -2*y**2 - 328*y + 330 = 0 for y.
-165, 1
Solve 4*m**2 + 24176*m + 36529936 = 0 for m.
-3022
Suppose -2*c**2/17 - 3272*c/17 - 1338248/17 = 0. Calculate c.
-818
Factor -z**2 - 4*z - 3.
-(z + 1)*(z + 3)
Determine l, given that -14*l**3 + 6*l**2 + 14*l - 6 = 0.
-1, 3/7, 1
Factor 2*z**4/23 + 8*z**3/23 - 64*z**2/23.
2*z**2*(z - 4)*(z + 8)/23
Factor -20*a**2 - 1055*a + 265.
-5*(a + 53)*(4*a - 1)
Suppose -2*p**5/9 + 2*p**4 - 8*p**3/9 - 64*p**2/3 + 64*p/9 + 160/3 = 0. What is p?
-2, 2, 5, 6
Factor -i**5 + 22*i**4 - 189*i**3 + 792*i**2 - 1620*i + 1296.
-(i - 6)**2*(i - 4)*(i - 3)**2
Factor 5*m**4 - 130*m**3 - 135*m**2.
5*m**2*(m - 27)*(m + 1)
Determine h, given that -4*h**4 - 336*h**3 - 7384*h**2 - 13776*h - 6724 = 0.
-41, -1
Factor -4*s**2 - 120*s - 900.
-4*(s + 15)**2
Factor -4*r**2/3 + 4*r/3 + 8.
-4*(r - 3)*(r + 2)/3
Factor 3*s**4/7 - 3*s**3 + 18*s**2/7.
3*s**2*(s - 6)*(s - 1)/7
Factor 5*n**3/6 + 605*n**2/3 + 2405*n/6 + 200.
5*(n + 1)**2*(n + 240)/6
Factor -5*k**4 - 140*k**3 - 375*k**2 + 20*k + 500.
-5*(k - 1)*(k + 2)**2*(k + 25)
Factor -3*j**2 + 3702*j - 1142067.
-3*(j - 617)**2
Suppose 32*m**2 - 144*m + 162 = 0. What is m?
9/4
Suppose 2*v**2/9 + 56*v/9 = 0. What is v?
-28, 0
Factor 2*m**5 - 2*m**4 - 46*m**3 - 78*m**2 - 36*m.
2*m*(m - 6)*(m + 1)**2*(m + 3)
Factor -4*t**4 + 288*t**3 + 296*t**2 - 288*t - 292.
-4*(t - 73)*(t - 1)*(t + 1)**2
Factor -w**3/3 - 25*w**2/3 - 56*w - 48.
-(w + 1)*(w + 12)**2/3
Let -2*b**5/5 - 78*b**4/5 + 908*b**3/5 - 684*b**2 + 5238*b/5 - 2646/5 = 0. Calculate b.
-49, 1, 3
Factor -3*u**3 + 765*u**2 + 3918*u - 4680.
-3*(u - 260)*(u - 1)*(u + 6)
Solve -6*k**2 + 22*k/3 - 4/3 = 0 for k.
2/9, 1
Factor -z**3/9 + 5*z**2/3 + 2*z - 32/9.
-(z - 16)*(z - 1)*(z + 2)/9
Determine p so that -5*p**2 + 250*p = 0.
0, 50
Let 2*o**3/7 + 64*o**2/7 + 32*o = 0. What is o?
-28, -4, 0
Factor o**4/2 + 33*o**3/2.
o**3*(o + 33)/2
Let 2*n**2 + 1270*n - 1272 = 0. What is n?
-636, 1
What is a in -3*a**3 + 21*a**2 - 30*a = 0?
0, 2, 5
Let -2*v**2/19 + 46*v/19 = 0. Calculate v.
0, 23
Find z, given that -z**3/6 + 7*z**2/3 + 47*z/2 + 21 = 0.
-6, -1, 21
Let -2*s**3/11 - 48*s**2/11 - 288*s/11 - 512/11 = 0. What is s?
-16, -4
Solve l**2 + 20*l = 0.
-20, 0
Determine q so that 4*q**5/5 + 28*q**4/5 - 16*q**3/5 - 208*q**2/5 + 192*q/5 = 0.
-6, -4, 0, 1, 2
Suppose 3*v**2 + 210*v - 432 = 0. What is v?
-72, 2
Suppose -2*l**2 + 366*l - 364 = 0. Calculate l.
1, 182
Find z, given that 4*z**4 + 1228*z**3 + 92388*z**2 - 285820*z + 192200 = 0.
-155, 1, 2
Suppose -n**3/2 - 3*n**2/2 + 2 = 0. Calculate n.
-2, 1
Factor -4*g**5 - 20*g**4 - 16*g**3.
-4*g**3*(g + 1)*(g + 4)
Determine i so that 3*i**3 + 522*i**2 + 30276*i + 585336 = 0.
-58
Suppose -2*b**3/23 + 496*b**2/23 - 30250*b/23 - 62500/23 = 0. Calculate b.
-2, 125
Factor k**5 + 12*k**4 - 79*k**3 + 106*k**2 + 6