6
Solve 4*o**4 - 184*o**3 + 2836*o**2 - 16560*o + 32400 = 0 for o.
5, 18
Find m such that -5*m**4 - 65*m**3 - 220*m**2 - 160*m = 0.
-8, -4, -1, 0
Find r such that 690*r**2 + 415*r + 35 = 0.
-1/2, -7/69
Factor 2*k**4 - 18*k**3 - 44*k**2.
2*k**2*(k - 11)*(k + 2)
What is p in 4*p**3 + 112*p**2 + 364*p - 480 = 0?
-24, -5, 1
Determine y so that y**5/5 - 109*y**4/5 - 222*y**3/5 = 0.
-2, 0, 111
Suppose 2*p**5 - 122*p**4/9 + 152*p**3/9 + 40*p**2/9 = 0. What is p?
-2/9, 0, 2, 5
Let k**5/7 + 9*k**4/7 + 2*k**3 = 0. Calculate k.
-7, -2, 0
Factor -4*l**3 - 96*l**2 + 100*l + 2400.
-4*(l - 5)*(l + 5)*(l + 24)
Factor -20*u**2/3 - 2*u/3 + 4/3.
-2*(2*u + 1)*(5*u - 2)/3
Find w, given that w**5/3 - 10*w**4 - 33*w**3 - 4*w**2/3 + 44*w = 0.
-2, 0, 1, 33
Factor 204*j**3 - 1628*j**2 + 2416*j + 48.
4*(j - 6)*(j - 2)*(51*j + 1)
Let 5*t**3 + 30265*t**2 + 45813640*t + 45783380 = 0. What is t?
-3026, -1
Factor y**2/5 - 213*y/5 + 212/5.
(y - 212)*(y - 1)/5
Let -4*r**5 - 340*r**4 - 7392*r**3 - 7056*r**2 = 0. Calculate r.
-42, -1, 0
Factor 2*t**4/9 - 2*t**3 + 16*t**2/9.
2*t**2*(t - 8)*(t - 1)/9
Find w, given that -w**2/3 - 692*w/3 - 119716/3 = 0.
-346
Factor 5*x**2 - 40*x - 420.
5*(x - 14)*(x + 6)
Suppose -2*n**4/3 - 6*n**3 - 26*n**2/3 + 6*n + 28/3 = 0. Calculate n.
-7, -2, -1, 1
Factor 2*z**3/5 - 46*z**2/5 - 98*z/5 - 10.
2*(z - 25)*(z + 1)**2/5
Suppose 4*l**3 + 80*l**2 + 324*l + 360 = 0. What is l?
-15, -3, -2
Solve 2*q**3/11 + 4*q**2/11 - 16*q/11 = 0 for q.
-4, 0, 2
Factor t**2/7 - 194*t/7 + 9409/7.
(t - 97)**2/7
Let -2*v**3 + 6156*v**2 - 4737042*v = 0. What is v?
0, 1539
Factor -2*g**3/15 + 888*g**2/5 - 294814*g/5 - 1779556/15.
-2*(g - 667)**2*(g + 2)/15
Solve 5*g**2 - 995*g = 0.
0, 199
Factor 4*g**2 - 328*g - 672.
4*(g - 84)*(g + 2)
Factor f**4 - 26*f**3 + 213*f**2 - 572*f + 484.
(f - 11)**2*(f - 2)**2
Suppose 2*g**2/3 - 24*g + 70/3 = 0. What is g?
1, 35
Find n, given that n**3 - 118*n**2 - n + 118 = 0.
-1, 1, 118
Factor z**3 + 294*z**2 + 585*z + 292.
(z + 1)**2*(z + 292)
Factor -z**4/3 + 79*z**3/3 - 26*z**2.
-z**2*(z - 78)*(z - 1)/3
Solve 2*q**5 - 26*q**4 - 28*q**3 = 0.
-1, 0, 14
Let 9*a**5/4 + 39*a**4/4 - 39*a**3/4 - 147*a**2/4 + 105*a/2 - 18 = 0. Calculate a.
-4, -3, 2/3, 1
Factor -3*v**4/7 + 96*v**3/7 - 1056*v**2/7 + 4608*v/7 - 6912/7.
-3*(v - 12)**2*(v - 4)**2/7
Factor -s**3/3 + 87*s**2 - 173*s + 259/3.
-(s - 259)*(s - 1)**2/3
Factor -o**3/2 - 7*o**2/2 - 8*o - 6.
-(o + 2)**2*(o + 3)/2
Solve 3*c**4 + 18*c**3 - 3*c**2 - 18*c = 0 for c.
-6, -1, 0, 1
Let 5*f**4/4 - 55*f**3/4 + 45*f**2 - 45*f = 0. What is f?
0, 2, 3, 6
Let 2*t**2/5 + 16*t/5 - 8 = 0. What is t?
-10, 2
Factor 2*y**2/5 + 342*y/5.
2*y*(y + 171)/5
Solve 5*l**4/4 + 1198*l**3 - 7679*l**2/4 + 481*l/2 + 480 = 0.
-960, -2/5, 1
Factor v**3/4 + 9*v**2/4 - 54*v + 189.
(v - 6)**2*(v + 21)/4
Suppose g**2/4 - 43*g/4 = 0. What is g?
0, 43
Factor -q**4/5 - 21*q**3/5 + 9*q**2 - 23*q/5.
-q*(q - 1)**2*(q + 23)/5
Factor -5*q**4 + 260*q**3 - 2180*q**2 - 31200*q - 72000.
-5*(q - 30)**2*(q + 4)**2
Factor -2*a**5 - a**4/3 + 5*a**3/3.
-a**3*(a + 1)*(6*a - 5)/3
Factor 5*b**2/3 - 16*b - 20/3.
(b - 10)*(5*b + 2)/3
Determine p, given that -p**4 + 25*p**3 - 42*p**2 - 100*p + 184 = 0.
-2, 2, 23
Let 5*r**2/3 + 1070*r/3 + 355 = 0. Calculate r.
-213, -1
Solve -2*s**2/7 - 48*s - 2016 = 0 for s.
-84
Solve 8*j**2 + 132*j + 64 = 0 for j.
-16, -1/2
Factor -6*d**3 + 705*d**2 - 1047*d + 348.
-3*(d - 116)*(d - 1)*(2*d - 1)
Let -k**2/7 + 640*k/7 + 641/7 = 0. Calculate k.
-1, 641
Determine w so that -2*w**5 - 38*w**4 - 128*w**3 - 120*w**2 = 0.
-15, -2, 0
Suppose -3*v**2/7 - 159*v/7 - 1080/7 = 0. What is v?
-45, -8
Let 7*r**5/6 - 43*r**4/3 + 4*r**3 = 0. What is r?
0, 2/7, 12
Find t, given that 5*t**3 + 35*t**2 + 50*t = 0.
-5, -2, 0
Find h such that -2*h**3/9 + 2*h**2/3 + 10*h + 18 = 0.
-3, 9
Solve -z**5/2 + 7*z**4/2 - 15*z**3/2 + 9*z**2/2 = 0 for z.
0, 1, 3
Factor 39*k**4 - 309*k**3 + 249*k**2 + 21*k.
3*k*(k - 7)*(k - 1)*(13*k + 1)
Determine w so that -5*w**2 - 60*w - 180 = 0.
-6
Let 5*c**5 + 100*c**4 - 355*c**3 - 170*c**2 + 1340*c - 920 = 0. Calculate c.
-23, -2, 1, 2
Factor 2*r**3 + 14*r**2 - 16*r.
2*r*(r - 1)*(r + 8)
Suppose -3*x**3/5 - 27*x**2/5 + 27*x/5 + 243/5 = 0. What is x?
-9, -3, 3
Determine k so that k**4 + 86*k**3 + 160*k**2 - 672*k = 0.
-84, -4, 0, 2
Factor -3*g**2/5 - 414*g/5 - 1608/5.
-3*(g + 4)*(g + 134)/5
Factor a**4 - 17*a**3 + 44*a**2 - 28*a.
a*(a - 14)*(a - 2)*(a - 1)
Suppose -3*k**4/4 + 27*k**3/4 + 33*k**2/4 - 27*k/4 - 15/2 = 0. What is k?
-1, 1, 10
Factor 3*q**3/2 - 17*q**2/2 - 4*q + 6.
(q - 6)*(q + 1)*(3*q - 2)/2
Let c**2 + 395*c + 394 = 0. Calculate c.
-394, -1
Let o**5 - 22*o**4 + 141*o**3 - 220*o**2 + 100*o = 0. What is o?
0, 1, 10
Find t, given that 2*t**4/7 + 86*t**3/7 + 138*t**2 + 126*t = 0.
-21, -1, 0
Solve -3*l**4/4 + 27*l**3/2 + 189*l**2/4 + 3*l - 63 = 0.
-2, 1, 21
Factor 841*p**5/6 - 1624*p**4/3 + 484*p**3 + 224*p**2/3 + 8*p/3.
p*(p - 2)**2*(29*p + 2)**2/6
Determine d, given that 5*d**4 - 37*d**3 + 44*d**2 - 12*d = 0.
0, 2/5, 1, 6
Factor 13*u**4 + 153*u**3 + 224*u**2 - 60*u.
u*(u + 2)*(u + 10)*(13*u - 3)
Let -h**3 + 47*h**2 - 91*h + 45 = 0. What is h?
1, 45
Factor o**2/3 - 100*o/3 + 2500/3.
(o - 50)**2/3
Factor 4*n**5/9 - 64*n**4/9 + 24*n**3 - 304*n**2/9 + 196*n/9 - 16/3.
4*(n - 12)*(n - 1)**4/9
Factor 2*q**3/5 + 1356*q**2/5 + 306456*q/5 + 23086352/5.
2*(q + 226)**3/5
Factor v**2/3 + 8830*v/3 + 19492225/3.
(v + 4415)**2/3
Factor -5*x**3 - 45*x**2 + 560*x.
-5*x*(x - 7)*(x + 16)
Find x such that 12*x**5 + 146*x**4/7 - 1730*x**3/7 + 2444*x**2/7 - 408*x/7 - 144/7 = 0.
-6, -1/6, 3/7, 2
Solve -4*h**4 - 228*h**3 - 3124*h**2 + 3828*h + 6728 = 0 for h.
-29, -1, 2
Determine g so that 6*g**4/7 + 292*g**3/7 - 1718*g**2/7 + 540*g/7 = 0.
-54, 0, 1/3, 5
Solve -14*q**5/3 + 446*q**4/9 - 88*q**3/3 + 40*q**2/9 = 0.
0, 2/7, 1/3, 10
Solve -3*w**2/2 + w/2 = 0.
0, 1/3
Solve x**2/5 + 636*x/5 + 1268/5 = 0 for x.
-634, -2
Factor 4*t**3 - 8*t**2 - 4*t + 8.
4*(t - 2)*(t - 1)*(t + 1)
Determine l so that l**2/3 - 43*l + 128/3 = 0.
1, 128
Let -4*q**5 - 20*q**4 - 8*q**3 + 56*q**2 + 12*q - 36 = 0. What is q?
-3, -1, 1
Factor 4*j**3 + 4*j**2 - 84*j - 180.
4*(j - 5)*(j + 3)**2
Factor -147*l**3 + 10353*l**2 + 5952*l + 852.
-3*(l - 71)*(7*l + 2)**2
Suppose -5*d**3 + 6825*d**2 - 3105375*d + 470981875 = 0. What is d?
455
Factor -5*x**2/4 - 75*x/4.
-5*x*(x + 15)/4
Factor 2*g**4/9 - 586*g**3/9 + 43216*g**2/9 - 42632*g/9.
2*g*(g - 146)**2*(g - 1)/9
Let 3*n**5/7 + 1527*n**4/7 + 195072*n**3/7 + 193548*n**2/7 = 0. What is n?
-254, -1, 0
Determine j, given that 72*j**5/19 - 8070*j**4/19 + 16586*j**3/19 - 9460*j**2/19 - 8*j/19 + 880/19 = 0.
-1/4, 2/3, 1, 110
Solve 13*j**2/6 + 67*j/3 + 20/3 = 0.
-10, -4/13
Factor 3*f**2 + 1098*f + 1095.
3*(f + 1)*(f + 365)
Factor g**2/5 - 2*g + 9/5.
(g - 9)*(g - 1)/5
Solve 2*d**4 - 12*d**3 + 18*d**2 = 0 for d.
0, 3
Factor 2*v**2/7 + 32*v/7 + 8.
2*(v + 2)*(v + 14)/7
Factor 2*a**2 + 26*a + 72.
2*(a + 4)*(a + 9)
Factor -85*r**3 + 890*r**2 - 1680*r.
-5*r*(r - 8)*(17*r - 42)
Suppose 4*c**4 + 220*c**3 + 2652*c**2 - 11020*c - 13456 = 0. Calculate c.
-29, -1, 4
Suppose 3*w**4 - 33*w**3 - 39*w**2 + 33*w + 36 = 0. What is w?
-1, 1, 12
Solve 2*h**4/11 + 382*h**3/11 + 18048*h**2/11 - 18432*h/11 = 0 for h.
-96, 0, 1
Solve 64*a**4 - 7456*a**3 - 18972*a**2 - 8084*a - 952 = 0.
-2, -1/4, 119
Factor 5*v**2/3 - 470*v/3 - 1960/3.
5*(v - 98)*(v + 4)/3
Suppose 2*b**2/13 + 636*b/13 = 0. What is b?
-318, 0
Factor -w**4 - 8*w**3 + 65*w**2.
-w**2*(w - 5)*(w + 13)
Factor x**3 - 67*x**2 - 584*x - 1200.
(x - 75)*(x + 4)**2
Determine h, given that -h**4 - 10*h**3 - 17*h**2 - 8*h = 0.
-8, -1, 0
Factor 3*b**3 + 51*b**2 - 174*b + 120.
3*(b - 2)*(b - 1)*(b + 20)
Solve -p**3/9 - 239*p**2/3 - 14079*p + 651605/9 = 0 for p.
-361, 5
Factor -3*m**3 - 18*m**2 - 15*m.
-3*m*(m + 1)*(m + 5)
Find h such that -5*h**4 - 30*h**3 - 40*h**2 = 0.
-4, -2, 0
Determine d, given that -d**5 - 62*d**4 + d**3 + 62*d**2 = 0.
-62, -1, 0, 1
Factor i**2/4 + 13*i/4 - 7/2.
(i - 1)*(i + 14)/4
Factor -2*m**2/3 - 34*m - 1240/3.
-2*(m + 20)*(m + 31)/3
Let 6*y**5 - 16*y**4 - 60*y**3 - 48*y**2 - 10*y = 0. Calculate y.
-1, -1/3, 0, 5
Suppose -n**2 - 69*n/2 - 17 = 0. What is n?
-34, -1/2
Suppose -5*g**5/2 + 10*g**4 + 105*g**3 + 90*g**2 - 405*g/2 = 0. What is g?
-3, 0, 1, 9
What is p in -p**3 - 6*p