7 = 0 for r.
-13, 1, 19
Factor b**5 - 84*b**4 + 1989*b**3 - 9126*b**2.
b**2*(b - 39)**2*(b - 6)
Determine k, given that -6*k**4 - 2*k**3 + 18*k**2 - 6*k - 4 = 0.
-2, -1/3, 1
Let -j**4/3 + 31*j**3/3 + 65*j**2/3 + 11*j = 0. Calculate j.
-1, 0, 33
Solve 2*p**2/7 - 4*p = 0 for p.
0, 14
Factor -3*n**5/7 - 15*n**4/7 - 9*n**3/7 + 27*n**2/7.
-3*n**2*(n - 1)*(n + 3)**2/7
What is i in 2*i**4/7 - 206*i**3/7 + 404*i**2/7 = 0?
0, 2, 101
Determine r so that r**5/5 - 3*r**4/5 - 22*r**3/5 + 56*r**2/5 + 96*r/5 - 128/5 = 0.
-4, -2, 1, 4
Determine z so that 2*z**4 - 66*z**3 - 210*z**2 - 214*z - 72 = 0.
-1, 36
Factor t**3 + 93*t**2 + 2208*t + 2116.
(t + 1)*(t + 46)**2
Factor 3*g**4 - 273*g**3 + 6339*g**2 - 5535*g - 12150.
3*(g - 45)**2*(g - 2)*(g + 1)
Factor 5*i**4 + 10*i**3 - 600*i**2 - 1210*i - 605.
5*(i - 11)*(i + 1)**2*(i + 11)
Factor -3*o**3/2 - 15*o**2/2 + 48*o - 54.
-3*(o - 2)**2*(o + 9)/2
Find c such that -3*c**4 + 33*c**3 - 129*c**2 + 207*c - 108 = 0.
1, 3, 4
Solve 124*f**4/23 - 370*f**3/23 - 6*f**2/23 = 0 for f.
-1/62, 0, 3
Find y, given that 2*y**3 + 62*y**2 - 272*y + 280 = 0.
-35, 2
Find t, given that -3*t**2/2 - 237*t/2 + 243 = 0.
-81, 2
What is r in 10*r**3/7 - 176*r**2/7 + 648*r/7 + 288/7 = 0?
-2/5, 6, 12
What is n in n**4/9 + 2*n**3/9 - 7*n**2/3 - 22*n/9 + 40/9 = 0?
-5, -2, 1, 4
Factor 4*s**3 - 240*s**2 + 468*s - 232.
4*(s - 58)*(s - 1)**2
Solve 15*s**2 + 183*s - 198 = 0 for s.
-66/5, 1
Determine f so that -3*f**3/4 - 21*f**2/4 + 18*f + 135 = 0.
-6, 5
Solve -6*m**4 - 14*m**3 + 2*m**2 + 14*m + 4 = 0.
-2, -1, -1/3, 1
Factor 2*m**5/9 - 8*m**3/9.
2*m**3*(m - 2)*(m + 2)/9
Determine q so that 2*q**2/9 + 334*q/9 + 1304/9 = 0.
-163, -4
Find i such that 75*i**5 - 17910*i**4 + 1058292*i**3 + 1321944*i**2 - 1560960*i + 345600 = 0.
-2, 2/5, 120
Suppose a**5/3 - 2*a**4 + 5*a**3/3 + 20*a**2/3 - 12*a + 16/3 = 0. What is a?
-2, 1, 2, 4
Factor 9*q**3 + 4614*q**2 + 3069*q - 1536.
3*(q + 1)*(q + 512)*(3*q - 1)
Factor 2*p**5 - 348*p**4 + 17106*p**3 - 173144*p**2 + 650592*p - 839808.
2*(p - 81)**2*(p - 4)**3
Factor 2*l**2 + 28*l + 48.
2*(l + 2)*(l + 12)
Factor 4*w**2 + 184*w - 800.
4*(w - 4)*(w + 50)
Let s**4 - 13*s**3 - 615*s**2 + 10013*s - 9386 = 0. Calculate s.
-26, 1, 19
Suppose -8*a**4/9 + 2*a**3/9 + 22*a**2/9 + 4*a/3 = 0. Calculate a.
-1, -3/4, 0, 2
Solve 3*r**4 - 9*r**3 - 45*r**2 - 51*r - 18 = 0 for r.
-1, 6
Solve -r**4/3 - 28*r**3 - 641*r**2 - 6640*r/3 - 1600 = 0.
-40, -3, -1
Factor 2*h**4/7 + 808*h**3/7 + 122412*h**2/7 + 8242408*h/7 + 208120802/7.
2*(h + 101)**4/7
Factor -2*x**2/7 + 20*x/7 - 50/7.
-2*(x - 5)**2/7
Factor 3*s**2/7 + 5268*s/7 + 2312652/7.
3*(s + 878)**2/7
Factor 3*c**3/2 - 9*c**2/2 - 3*c/2 + 9/2.
3*(c - 3)*(c - 1)*(c + 1)/2
Determine x so that 2*x**3/19 - 44*x**2/19 - 46*x/19 = 0.
-1, 0, 23
Suppose 2*q**4/5 - 2*q**2/5 = 0. Calculate q.
-1, 0, 1
Factor 17*m**2/4 + 147*m + 85.
(m + 34)*(17*m + 10)/4
Factor -n**3/8 + 15*n**2/4 + 9*n/8 - 135/4.
-(n - 30)*(n - 3)*(n + 3)/8
Let -2*g**3/5 + 24*g**2/5 - 18*g + 20 = 0. What is g?
2, 5
Factor -2*l**3/3 - 12*l**2 - 118*l/3 + 52.
-2*(l - 1)*(l + 6)*(l + 13)/3
Let -3*p**4/8 - 987*p**3/8 - 20901*p**2/2 - 99387*p/2 - 39366 = 0. Calculate p.
-162, -4, -1
What is h in -2*h**4 + 296*h**3 - 1714*h**2 + 1420*h = 0?
0, 1, 5, 142
Factor -2*y**3/5 - 86*y**2/5 - 504*y/5.
-2*y*(y + 7)*(y + 36)/5
Find o such that -o**2/2 + 1393*o - 1940449/2 = 0.
1393
Let 3*n**4/2 - 3*n**3 - 9*n**2/2 + 12*n - 6 = 0. What is n?
-2, 1, 2
Factor b**3/3 + 1121*b**2 + 1256641*b + 1408694561/3.
(b + 1121)**3/3
Suppose -z**5 - 2*z**4 - z**3 = 0. Calculate z.
-1, 0
Factor 2*z**5/15 + 6*z**4/5 + 14*z**3/5 + 38*z**2/15 + 4*z/5.
2*z*(z + 1)**3*(z + 6)/15
Suppose 2*i**3/5 - 66*i**2 + 3630*i - 66550 = 0. What is i?
55
Factor -c**5/7 - 17*c**4/7 - 67*c**3/7 + 23*c**2 + 112*c - 196.
-(c - 2)**2*(c + 7)**3/7
Factor 5*f**2 + 1110*f + 61605.
5*(f + 111)**2
Factor -2*c**3 - 104*c**2 - 986*c + 10092.
-2*(c - 6)*(c + 29)**2
Factor 4*p**2 - 188*p + 1984.
4*(p - 31)*(p - 16)
Find t, given that 5*t**3 + 25*t**2 + 20*t = 0.
-4, -1, 0
Suppose -6*k**5/7 + 26*k**4/7 - 2*k**3 - 34*k**2/7 + 12*k/7 = 0. What is k?
-1, 0, 1/3, 2, 3
Suppose -3*u**2 + 141*u - 270 = 0. What is u?
2, 45
Factor 2*q**2 - 40*q + 102.
2*(q - 17)*(q - 3)
Factor -47*u**2/9 - 2*u/9.
-u*(47*u + 2)/9
Let -2*q**2/5 - 74*q/5 + 76/5 = 0. Calculate q.
-38, 1
Factor x**5/3 - 10*x**4 + 326*x**3/3 - 504*x**2 + 891*x - 486.
(x - 9)**3*(x - 2)*(x - 1)/3
Factor 4*u**2 - 24*u - 64.
4*(u - 8)*(u + 2)
Let -8*i**5/5 + 26*i**4/5 + 26*i**3/5 - 8*i**2/5 = 0. Calculate i.
-1, 0, 1/4, 4
Suppose 6*c**5 + 130*c**4 + 748*c**3 + 1512*c**2 + 752*c - 448 = 0. Calculate c.
-14, -4, -2, 1/3
Factor -2*m**4/19 - 8*m**3/19 - 12*m**2/19 - 8*m/19 - 2/19.
-2*(m + 1)**4/19
Factor -3*z**2/2 - 13743*z - 62956683/2.
-3*(z + 4581)**2/2
Find z such that 4*z**3 + 1020*z**2 = 0.
-255, 0
Factor 4*l**2 + 96*l - 324.
4*(l - 3)*(l + 27)
Solve -2*p**3/9 - 26*p**2/3 - 338*p/3 - 4394/9 = 0 for p.
-13
Factor s**5 - 6*s**4.
s**4*(s - 6)
Let -7*l**4/11 - 156*l**3/11 - 324*l**2/11 - 80*l/11 = 0. What is l?
-20, -2, -2/7, 0
Find i such that 32*i**3 - 304*i**2 - 1982*i - 476 = 0.
-17/4, -1/4, 14
Solve -2*q**2 + 78*q + 440 = 0 for q.
-5, 44
Factor f**3/2 + 14*f**2 + 48*f.
f*(f + 4)*(f + 24)/2
Factor v**4/2 - 4*v**3 + 3*v**2 + 4*v - 7/2.
(v - 7)*(v - 1)**2*(v + 1)/2
Solve 5*a**2 + 22280*a - 22285 = 0.
-4457, 1
Factor -2*g**2/5 + 4*g + 48/5.
-2*(g - 12)*(g + 2)/5
Solve 2*k**5 + 8*k**4 + 8*k**3 = 0 for k.
-2, 0
Solve -2*q**5/15 - 4*q**4/3 - 22*q**3/5 - 88*q**2/15 - 8*q/3 = 0 for q.
-5, -2, -1, 0
Factor -2*w**5 + 42*w**4 + 188*w**3 + 292*w**2 + 198*w + 50.
-2*(w - 25)*(w + 1)**4
Let u**4/3 + u**3/3 - 2*u**2 = 0. Calculate u.
-3, 0, 2
Determine b so that -6*b**5 + 27*b**4 - 27*b**3 - 3*b**2 + 9*b = 0.
-1/2, 0, 1, 3
Find p such that p**2 - 37*p = 0.
0, 37
Suppose -w**5/3 - 8*w**4/3 - 23*w**3/3 - 28*w**2/3 - 4*w = 0. What is w?
-3, -2, -1, 0
Factor -4*k**4 + 8*k**3 + 44*k**2 - 48*k.
-4*k*(k - 4)*(k - 1)*(k + 3)
Factor 3*i**2/4 - 9*i + 33/4.
3*(i - 11)*(i - 1)/4
Let s**2/2 + 5*s/2 - 3 = 0. What is s?
-6, 1
Find k, given that -3*k**3 - 72*k**2 - 63*k + 138 = 0.
-23, -2, 1
Determine i so that -5*i**3 - 25*i**2 - 30*i = 0.
-3, -2, 0
Find h such that -2*h**4/7 + 46*h**3/7 - 120*h**2/7 - 8*h/7 + 160/7 = 0.
-1, 2, 20
Factor f**2 + 3548*f + 3147076.
(f + 1774)**2
Factor -2*d**3/13 + 1504*d**2/13 - 21634*d - 43732.
-2*(d - 377)**2*(d + 2)/13
Factor 5*d**4 + 10*d**3 - 215*d**2 + 200*d.
5*d*(d - 5)*(d - 1)*(d + 8)
Solve 2*w**2/11 - 2832*w/11 + 1002528/11 = 0 for w.
708
Find f, given that 6*f**4 + 51*f**3/2 + 36*f**2 + 39*f/2 + 3 = 0.
-2, -1, -1/4
Factor 5*x**3/2 - 45*x**2/2 - 105*x/2 - 55/2.
5*(x - 11)*(x + 1)**2/2
Determine d so that -d**2 + 20*d - 100 = 0.
10
Factor -2*n**2/3 + 46*n/3 - 28.
-2*(n - 21)*(n - 2)/3
Factor -l**2/5 - 17*l + 174/5.
-(l - 2)*(l + 87)/5
Factor 3*o**4 - 270*o**3 + 6327*o**2 - 10824*o - 17424.
3*(o - 44)**2*(o - 3)*(o + 1)
Factor -61*g**2/5 + 118*g/5 + 8/5.
-(g - 2)*(61*g + 4)/5
Let 12*r**5 + 261*r**4 + 2058*r**3 + 6861*r**2 + 7560*r - 2352 = 0. What is r?
-7, -4, 1/4
What is q in -q**5/2 + 12*q**4 - 45*q**3/2 + 11*q**2 = 0?
0, 1, 22
Factor 2*g**4 - 440*g**3 + 27836*g**2 - 399960*g + 1652562.
2*(g - 101)**2*(g - 9)**2
Find o such that 4*o**5 - 8*o**4 - 8*o**3 + 32*o**2 - 28*o + 8 = 0.
-2, 1
Find r, given that 4*r**5 - 204*r**4 - 2620*r**3 - 6596*r**2 - 6168*r - 1984 = 0.
-8, -1, 62
Suppose 10*l**3 - 25*l**2 + 5*l + 10 = 0. What is l?
-1/2, 1, 2
Find d, given that -d**4/2 - 17*d**3/2 + 19*d**2/2 + 17*d/2 - 9 = 0.
-18, -1, 1
Find c such that 2*c**3/5 + 108*c**2/5 = 0.
-54, 0
What is o in -5*o**4/2 - 925*o**3 + 2790*o**2 - 2795*o + 1865/2 = 0?
-373, 1
Factor 4*m**4 + 68*m**3 - 228*m**2 + 236*m - 80.
4*(m - 1)**3*(m + 20)
Let g**3/2 + 18*g**2 - 75*g/2 + 19 = 0. Calculate g.
-38, 1
Let w**3/4 + 27*w**2/4 - 7*w = 0. Calculate w.
-28, 0, 1
Solve 27*f**3 + 183*f**2 + 228*f - 60 = 0.
-5, -2, 2/9
Find r such that r**2 - 1992*r + 992016 = 0.
996
Find w, given that 2*w**4/3 + 16*w**3/3 - 22*w**2 + 8*w/3 + 88/3 = 0.
-11, -1, 2
Let 2*q**4/5 - 153*q**3/5 - 391*q**2/5 - 63*q - 79/5 = 0. What is q?
-1, -1/2, 79
Factor -k**3/3 - 10*k**2/3 - 11*k/3 + 70/3.
-(k - 2)*(k + 5)*(k + 7)/3
Factor -4*s**4 - 208*s**3 - 1880*s**2 - 3152*s - 1476.
-4*(s + 1)**2*(s + 9)