
Factor 4*n**2 + 440*n + 12100.
4*(n + 55)**2
Let 5*y**3 + 95*y**2 + 170*y = 0. What is y?
-17, -2, 0
Factor 56*q**2 + 108*q + 40.
4*(2*q + 1)*(7*q + 10)
Determine d so that 4*d**4 - 160*d**3/3 + 532*d**2/3 - 592*d/3 + 48 = 0.
1/3, 2, 9
Determine b, given that -2*b**5 - 36*b**4 - 160*b**3 + 36*b**2 + 162*b = 0.
-9, -1, 0, 1
Factor -2*a**5 + 10*a**4 + 28*a**3.
-2*a**3*(a - 7)*(a + 2)
Solve a**2 - 1 = 0 for a.
-1, 1
Factor -5*d**5 + 370*d**4 - 365*d**3.
-5*d**3*(d - 73)*(d - 1)
Determine w, given that 2*w**5/3 + 2*w**4 + 2*w**3/3 - 2*w**2 - 4*w/3 = 0.
-2, -1, 0, 1
Let 4*n**4 - 34*n**3 - 358*n**2 - 470*n - 150 = 0. What is n?
-5, -1, -1/2, 15
Factor 5*y**5/2 - 5*y**4 - 15*y**3/2.
5*y**3*(y - 3)*(y + 1)/2
Factor 2*h**2 + 20*h - 78.
2*(h - 3)*(h + 13)
Factor 9*m**3 + 1236*m**2 + 5157*m - 3990.
3*(m + 5)*(m + 133)*(3*m - 2)
Factor 4*v**2 - 19576*v + 23951236.
4*(v - 2447)**2
Determine q, given that -2*q**3 - 3484*q**2 - 6962*q - 3480 = 0.
-1740, -1
What is l in -4*l**5 - 108*l**4 - 776*l**3 - 568*l**2 + 780*l + 676 = 0?
-13, -1, 1
Determine k, given that 5*k**5 + 80*k**4 - 615*k**3 - 1790*k**2 + 2380*k + 5880 = 0.
-21, -2, 2, 7
Let -o**5/8 - 3*o**4/2 = 0. What is o?
-12, 0
Suppose -27*r**4 - 6*r**3 + 27*r**2 + 6*r = 0. Calculate r.
-1, -2/9, 0, 1
Factor 3*l**3/2 + 48*l**2 + 663*l/2 - 867.
3*(l - 2)*(l + 17)**2/2
Let -q**3 - 236*q**2 + 956*q - 960 = 0. Calculate q.
-240, 2
Factor -r**4/5 + 13*r**3/5 - 46*r**2/5 + 12*r/5 + 72/5.
-(r - 6)**2*(r - 2)*(r + 1)/5
What is g in -g**4/4 - 451*g**3/4 - 50163*g**2/4 + 156403*g/4 + 51529 = 0?
-227, -1, 4
Solve -y**4/2 - 13*y**3/2 - 21*y**2/2 + 13*y/2 + 11 = 0.
-11, -2, -1, 1
Solve 3*x**5/5 + 96*x**4/5 - 132*x**3 + 912*x**2/5 = 0.
-38, 0, 2, 4
Factor -r**2/4 - 1519*r/4 - 759/2.
-(r + 1)*(r + 1518)/4
Factor 2*r**4 + 156*r**3 - 480*r**2 + 484*r - 162.
2*(r - 1)**3*(r + 81)
Find h such that h**4/2 - h**3/2 - 8*h**2 - 10*h = 0.
-2, 0, 5
Factor -5*j**3 - 1200*j**2 - 1195*j.
-5*j*(j + 1)*(j + 239)
Let s**5 + 2*s**4 - 6*s**3 - 4*s**2 + 13*s - 6 = 0. What is s?
-3, -2, 1
Factor 4*n**3 - 1212*n**2 + 122412*n - 4121204.
4*(n - 101)**3
Factor 2*b**2/7 + 200*b/7 + 198/7.
2*(b + 1)*(b + 99)/7
Solve 8*s**3 - 722*s**2 + 892*s - 178 = 0.
1/4, 1, 89
Suppose g**4/5 - 12*g**3/5 + 27*g**2/5 + 4*g/5 - 36/5 = 0. What is g?
-1, 2, 9
Factor -3*g**3 - 18*g**2 + 189*g - 324.
-3*(g - 3)**2*(g + 12)
Factor -2*b**4 + 2*b**3.
-2*b**3*(b - 1)
Factor 2*i**2 - 122*i + 1316.
2*(i - 47)*(i - 14)
Suppose 5*q**2 + 2410*q = 0. What is q?
-482, 0
Solve -15*d**5 + 185*d**4/2 - 365*d**3/2 + 130*d**2 - 30*d = 0 for d.
0, 1/2, 2/3, 2, 3
Let 2*k**4 + 46*k**3/7 + 54*k**2/7 + 26*k/7 + 4/7 = 0. Calculate k.
-1, -2/7
Solve j**2/2 + 19*j/3 - 47/2 = 0.
-47/3, 3
Factor f**5/3 - 8*f**4/3 + 22*f**3/3 - 8*f**2 + 3*f.
f*(f - 3)**2*(f - 1)**2/3
What is g in -2*g**4/5 + 12*g**3/5 + 72*g**2/5 + 16*g = 0?
-2, 0, 10
Let 5*f**3 - 25*f**2 - 10*f + 120 = 0. What is f?
-2, 3, 4
What is t in 3*t**4/5 - 189*t**3/5 + 2679*t**2/5 + 1881*t + 6534/5 = 0?
-2, -1, 33
Suppose -b**2 - 3*b = 0. Calculate b.
-3, 0
Find n, given that 2*n**5/3 - 2*n**4/3 - 8*n**3/3 + 8*n**2/3 = 0.
-2, 0, 1, 2
Factor 3*l**3 + 42*l**2 - 45*l.
3*l*(l - 1)*(l + 15)
Solve -4*x**2 - 1336*x - 111556 = 0.
-167
Factor 16*j**2 + 1972*j.
4*j*(4*j + 493)
Factor v**3/2 + 21*v**2/2 + 45*v - 56.
(v - 1)*(v + 8)*(v + 14)/2
Factor 2*w**2/3 - 18*w - 116/3.
2*(w - 29)*(w + 2)/3
Suppose -2*s**5/7 + 46*s**4/7 - 282*s**3/7 + 22*s**2 + 484*s/7 = 0. What is s?
-1, 0, 2, 11
Find w such that 8*w**2 + 9622*w - 2406 = 0.
-1203, 1/4
Let a**4/10 + 3*a**3/10 - 3*a**2/10 - 7*a/10 + 3/5 = 0. Calculate a.
-3, -2, 1
Find i, given that -20*i**2/9 - 161*i/9 - 8/9 = 0.
-8, -1/20
What is s in s**2/8 - 23*s/4 + 529/8 = 0?
23
Let -3*q**5 - 11*q**4 - 5*q**3 + 15*q**2 + 8*q - 4 = 0. Calculate q.
-2, -1, 1/3, 1
Factor -4*b**5 - 4*b**4 + 12*b**3 + 20*b**2 + 8*b.
-4*b*(b - 2)*(b + 1)**3
Suppose 3*v**4/7 + 54*v**3/7 + 111*v**2/7 - 108*v + 84 = 0. What is v?
-14, -7, 1, 2
Factor -5*o**2 + 330*o + 335.
-5*(o - 67)*(o + 1)
Solve -2*n**5/7 - 10*n**4 - 82*n**3 + 718*n**2/7 + 576*n/7 - 648/7 = 0.
-18, -1, 1
Suppose 4*s**4/5 - 50*s**3 - 382*s**2/5 - 128*s/5 = 0. What is s?
-1, -1/2, 0, 64
Suppose z**5/5 + 21*z**4/5 + 24*z**3 + 20*z**2 = 0. Calculate z.
-10, -1, 0
Factor i**4/5 - i**2/5.
i**2*(i - 1)*(i + 1)/5
Factor -3*a**3/4 - 39*a**2 - 855*a/4 - 621/2.
-3*(a + 3)**2*(a + 46)/4
Solve -2*v**2 - 504*v - 1000 = 0 for v.
-250, -2
Find i, given that -4*i**5 - 176*i**4 - 164*i**3 + 344*i**2 = 0.
-43, -2, 0, 1
Factor w**2/5 - 94*w/5 + 1248/5.
(w - 78)*(w - 16)/5
Factor -4*u**5 + 8*u**3 - 4*u.
-4*u*(u - 1)**2*(u + 1)**2
Factor n**2 + 7492*n + 14032516.
(n + 3746)**2
Determine k so that -5415*k**2/2 - 1520*k - 640/3 = 0.
-16/57
Determine t, given that t**2/5 - 222*t/5 + 12321/5 = 0.
111
What is r in -5*r**2 + 65*r + 240 = 0?
-3, 16
Factor 4*i**4 - 32*i**3 - 212*i**2 + 240*i.
4*i*(i - 12)*(i - 1)*(i + 5)
What is t in 2*t**2 - 158*t + 600 = 0?
4, 75
Factor 2*r**3 - 10*r**2 + 12*r.
2*r*(r - 3)*(r - 2)
Suppose -3*f**3 - 78*f**2 - 387*f - 540 = 0. What is f?
-20, -3
Find n such that -4*n**2/5 - 8*n/5 + 32/5 = 0.
-4, 2
Find h, given that -h**5 - 4*h**4 - 5*h**3 - 2*h**2 = 0.
-2, -1, 0
Factor k**4/2 + 11*k**3/2 + 5*k**2.
k**2*(k + 1)*(k + 10)/2
Suppose 3*g**5/4 - 9*g**4/4 - 6*g**3 + 18*g**2 + 12*g - 36 = 0. Calculate g.
-2, 2, 3
Find z, given that 4*z**5 + 32*z**4 + 32*z**3 - 128*z**2 - 192*z = 0.
-6, -2, 0, 2
Find p such that -3*p**4 + 24*p**3 - 39*p**2 + 18*p = 0.
0, 1, 6
Factor n**2 - 70*n + 1225.
(n - 35)**2
Factor v**4/4 - v**3 + 3*v**2/4 + v - 1.
(v - 2)**2*(v - 1)*(v + 1)/4
What is m in -242*m**2/9 - 88*m/9 - 8/9 = 0?
-2/11
Factor -4*t**4 + 260*t**3 + 1668*t**2 + 2540*t + 1136.
-4*(t - 71)*(t + 1)**2*(t + 4)
Determine h, given that -20*h**3 + 185*h**2 + 430*h + 225 = 0.
-1, 45/4
Factor -2*o**3 - 874*o**2.
-2*o**2*(o + 437)
Factor -h**5/5 - 23*h**4/5 - 63*h**3/5 - 61*h**2/5 - 4*h.
-h*(h + 1)**3*(h + 20)/5
Factor 8*r**3/9 - 34*r**2/9 + 32*r/9 - 2/3.
2*(r - 3)*(r - 1)*(4*r - 1)/9
Solve -4*r**3 + 64*r**2 + 508*r + 440 = 0 for r.
-5, -1, 22
Suppose 3*h**5 + 135*h**4 + 1821*h**3 + 6849*h**2 + 8760*h + 3600 = 0. What is h?
-20, -3, -1
Find w such that -4*w**2 - 1488*w + 7540 = 0.
-377, 5
Suppose 6*g**4 + 10*g**3 - 8*g**2 - 8*g = 0. What is g?
-2, -2/3, 0, 1
Factor -2*u**4 - 46*u**3 - 316*u**2 - 320*u + 2304.
-2*(u - 2)*(u + 8)**2*(u + 9)
Solve 5*s**3 + 180*s**2 - 1215*s + 1890 = 0 for s.
-42, 3
Suppose -2*t**2/11 - 36*t/11 - 64/11 = 0. What is t?
-16, -2
Suppose -k**2/9 - 353*k/3 - 1058/9 = 0. What is k?
-1058, -1
Find u, given that 3*u**3/4 + 9*u**2/2 - 3*u/4 - 45/2 = 0.
-5, -3, 2
Factor n**3/12 + 49*n**2/12 + 86*n/3 + 164/3.
(n + 4)**2*(n + 41)/12
Solve -2*j**5 + 16*j**4 - 26*j**3 + 12*j**2 = 0.
0, 1, 6
Factor -2*t**2 - 130*t + 852.
-2*(t - 6)*(t + 71)
Solve 2*o**4/5 - 4*o**3/3 - 14*o**2/3 + 12*o + 48/5 = 0 for o.
-3, -2/3, 3, 4
Factor -2*u**4 + 1028*u**3 - 125786*u**2 - 1622184*u - 4980168.
-2*(u - 263)**2*(u + 6)**2
Let -3*m**5/2 + 15*m**4 - 24*m**3 - 3*m**2 + 51*m/2 - 12 = 0. Calculate m.
-1, 1, 8
Let -3*o**2 + 531*o - 1050 = 0. Calculate o.
2, 175
Factor -12*r**3/17 + 262*r**2/17 + 560*r/17 + 286/17.
-2*(r + 1)**2*(6*r - 143)/17
What is v in v**5/4 - v**4 - 7*v**3/4 + 5*v**2/2 = 0?
-2, 0, 1, 5
Factor 244*r**2 + 2920*r - 96.
4*(r + 12)*(61*r - 2)
Factor -2*b**3 + 16*b**2 - 34*b + 20.
-2*(b - 5)*(b - 2)*(b - 1)
Let 9*y**5 - 82*y**4 - 236*y**3 + 382*y**2 + 227*y - 300 = 0. What is y?
-3, -1, 1, 100/9
Let 2*l**3/5 + 8*l**2 = 0. What is l?
-20, 0
Factor -2*l**5/3 + 7*l**4/3 - l**3.
-l**3*(l - 3)*(2*l - 1)/3
Find f, given that -f**3/11 + 27*f**2 - 2673*f + 88209 = 0.
99
Factor h**4/2 - 3*h**3/2 + h**2.
h**2*(h - 2)*(h - 1)/2
Factor 3*v**2 - 15*v - 18.
3*(v - 6)*(v + 1)
Factor 5*b**2 + 25*b + 30.
5*(b + 2)*(b + 3)
Let -4*n**5 + 24*n**4 - 36*n**3 = 0. What is n?
0, 3
Solve 6*s**5 + 9*s**4 - 60*s**3 + 15*s**2 + 54*s - 24 = 0.
-4, -1, 1/2, 1, 2
Factor 40*d**2/7 - 294*d + 512/7.
2*(4*d - 1)*(5*d - 256)/7
Determine g, given that 2*g**4/13 - 30*g**3/13 - 146*g**2/13 - 114*g/13 = 0.
-3, -1, 0, 19
Factor 4*c**2/3 + 572*c/3 + 1440.
4*(c + 8)*(c + 135)/3
Determine q so that 3*q**2 - 255*q + 972 = 0.
4, 81
Factor -2*x**4 - 700*x**3 - 81432*x**2 - 3121092*x + 3203226.
-2*(x - 1)*(x