- 152*o**2/7 - 824*o/7 - 480/7.
2*(o - 30)*(o + 4)*(3*o + 2)/7
Factor -4*d**2/7 - 5272*d/7 - 1737124/7.
-4*(d + 659)**2/7
Solve -3*j**4/10 + 4*j**3/5 + 17*j**2/10 - j/5 - 4/5 = 0.
-1, 2/3, 4
Solve -u**2/4 + 8*u - 31/4 = 0 for u.
1, 31
Let a**3 + 157*a**2/5 + 482*a/5 + 168/5 = 0. Calculate a.
-28, -3, -2/5
Factor -r**4 - 50*r**3 - 673*r**2 - 1200*r - 576.
-(r + 1)**2*(r + 24)**2
Find d such that 2*d**5/7 + 12*d**4/7 - 50*d**3/7 + 36*d**2/7 = 0.
-9, 0, 1, 2
Factor j**3/7 - 2*j**2/7 - 16*j/7 + 32/7.
(j - 4)*(j - 2)*(j + 4)/7
Factor 6*d**2/11 + 30*d/11 + 36/11.
6*(d + 2)*(d + 3)/11
Solve -a**2/5 - 4*a/5 = 0.
-4, 0
Suppose -3*x**2/8 - 117*x/8 + 15 = 0. Calculate x.
-40, 1
Let 4*r**4 - 76*r**3 + 228*r**2 + 1276*r + 968 = 0. Calculate r.
-2, -1, 11
Suppose w**2/3 - 308*w + 71148 = 0. What is w?
462
Let 2*w**3/15 - 2*w**2/15 - 8*w/5 = 0. What is w?
-3, 0, 4
Determine b so that -50*b**5 - 60*b**4 + 1062*b**3 + 848*b**2 - 4392*b + 2592 = 0.
-18/5, 1, 4
Factor w**3/4 - 6*w**2 - w/4 + 6.
(w - 24)*(w - 1)*(w + 1)/4
Find v such that -16*v**4 + 372*v**3 + 292*v**2 - 96*v = 0.
-1, 0, 1/4, 24
Factor 294*w**3 + 38066*w**2 + 1238480*w + 408608.
2*(3*w + 1)*(7*w + 452)**2
Let 2*r**2 - 42*r - 44 = 0. What is r?
-1, 22
Factor 2*v**4 - 46*v**3 - 390*v**2 - 882*v - 540.
2*(v - 30)*(v + 1)*(v + 3)**2
Factor 32*s**2 + 172*s + 60.
4*(s + 5)*(8*s + 3)
Factor 25*t**2 - 240*t - 100.
5*(t - 10)*(5*t + 2)
Factor 3*q**4/8 - 3*q**3/8 - 3*q**2/2 + 3*q/2.
3*q*(q - 2)*(q - 1)*(q + 2)/8
Solve 10*v**3 + 485*v**2 + 710*v + 235 = 0 for v.
-47, -1, -1/2
Find l such that 3698*l**5/9 - 4042*l**4/9 + 352*l**3/9 - 8*l**2/9 = 0.
0, 2/43, 1
Factor -87*i**2 + 177*i - 6.
-3*(i - 2)*(29*i - 1)
Factor b**4/2 + 27*b**3 + 613*b**2/2 - 1566*b + 1682.
(b - 2)**2*(b + 29)**2/2
Suppose -n**2 + 1170*n + 2344 = 0. Calculate n.
-2, 1172
Factor o**3/8 + 27*o**2/8 + 51*o/2 + 77/2.
(o + 2)*(o + 11)*(o + 14)/8
Factor b**3/7 + 4*b**2/7 - 3*b/7 - 18/7.
(b - 2)*(b + 3)**2/7
Let -3*n**5 - 277*n**4 - 8732*n**3 - 100080*n**2 - 194400*n - 54000 = 0. Calculate n.
-30, -2, -1/3
Find k, given that -k**4 - 38*k**3 - 361*k**2 = 0.
-19, 0
Factor -g**2/3 + 76*g/3 + 320/3.
-(g - 80)*(g + 4)/3
Factor -f**5/4 + 3*f**3 + 4*f**2.
-f**2*(f - 4)*(f + 2)**2/4
Factor 4608*z**5 + 44224*z**4 + 25368*z**3 + 5457*z**2 + 515*z + 18.
(z + 9)*(8*z + 1)**3*(9*z + 2)
Find d such that -2*d**3 - 42*d**2 + 2*d + 42 = 0.
-21, -1, 1
Find b such that -22*b**5/9 - 106*b**4/9 - 112*b**3/9 + 8*b**2/3 = 0.
-3, -2, 0, 2/11
Suppose h**3 + 68*h**2 + 1221*h + 2178 = 0. What is h?
-33, -2
Factor 100*f**5 - 3420*f**4 + 40296*f**3 - 177848*f**2 + 172788*f - 47916.
4*(f - 11)**3*(5*f - 3)**2
Let g**2/4 + 12*g - 49/4 = 0. Calculate g.
-49, 1
Solve 5*a**5 + 265*a**4 - 275*a**3 - 265*a**2 + 270*a = 0 for a.
-54, -1, 0, 1
Suppose j**3/4 - 3*j**2 = 0. Calculate j.
0, 12
Find k such that 2*k**2/7 + 54*k/7 + 52/7 = 0.
-26, -1
Factor -8*l**5 + 60*l**4 - 118*l**3 + 97*l**2 - 36*l + 5.
-(l - 5)*(l - 1)*(2*l - 1)**3
Factor 27*b**4 + 45*b**3 - 204*b**2 + 180*b - 48.
3*(b - 1)*(b + 4)*(3*b - 2)**2
Factor j**4/2 - 9*j**3/2 + 25*j**2/2 - 27*j/2 + 5.
(j - 5)*(j - 2)*(j - 1)**2/2
Factor -2*x**3/19 + 22*x**2/19 - 52*x/19 + 32/19.
-2*(x - 8)*(x - 2)*(x - 1)/19
Determine h, given that -4*h**3 + 264*h**2 + 544*h = 0.
-2, 0, 68
Factor k**4/6 + 13*k**3/6 + 41*k**2/6 + 47*k/6 + 3.
(k + 1)**2*(k + 2)*(k + 9)/6
Let -2*p**5/17 + 124*p**4/17 - 466*p**3/17 + 104*p**2/17 + 696*p/17 = 0. What is p?
-1, 0, 2, 3, 58
Suppose -8*v**5 - 10*v**4/3 + 36*v**3 + 38*v**2/3 - 16*v + 8/3 = 0. What is v?
-2, -1, 1/4, 1/3, 2
What is s in -28*s**4 - 520*s**3 - 2340*s**2 + 520*s + 2368 = 0?
-74/7, -8, -1, 1
Factor -4*p**3/7 - 68*p**2/7 - 368*p/7 - 640/7.
-4*(p + 4)*(p + 5)*(p + 8)/7
Let 2*l**5 - 16*l**4 - 152*l**3 - 224*l**2 = 0. Calculate l.
-4, -2, 0, 14
Determine c, given that 10*c**4 - 2*c**3/3 - 130*c**2 + 386*c/3 - 8 = 0.
-4, 1/15, 1, 3
Factor 2*d**2 - 7662*d + 7660.
2*(d - 3830)*(d - 1)
Find a such that 3*a**3 + 855*a**2 + 81225*a + 2572125 = 0.
-95
Solve 10*o**4 + 175*o**3 + 805*o**2 + 360*o = 0.
-9, -8, -1/2, 0
Factor 4*j**3/3 - 164*j**2 + 956*j/3 + 484.
4*(j - 121)*(j - 3)*(j + 1)/3
Find z, given that 4*z**4/7 - 288*z**3/7 + 4824*z**2/7 + 1504*z + 5412/7 = 0.
-1, 33, 41
Determine y so that -y**4 - 36*y**3 - 211*y**2 - 216*y + 464 = 0.
-29, -4, 1
Solve -5*b**4/4 + 115*b**3/4 - 535*b**2/4 + 425*b/4 = 0 for b.
0, 1, 5, 17
Suppose 242*j**4/5 + 2574*j**3/5 - 7252*j**2/5 + 2376*j/5 - 208/5 = 0. Calculate j.
-13, 2/11, 2
Factor -35*n**2 + 165*n + 50.
-5*(n - 5)*(7*n + 2)
Suppose 2*i**3 + 20*i**2 = 0. What is i?
-10, 0
Find y, given that y**3/3 - 32*y**2/3 + 233*y/3 + 266/3 = 0.
-1, 14, 19
Determine h, given that -h**4/5 + 7862*h**3/5 - 4716*h**2 + 23578*h/5 - 7859/5 = 0.
1, 7859
Let a**3 - 5*a**2 + 2*a + 8 = 0. What is a?
-1, 2, 4
Factor 20*p**4 + 232*p**3 - 96*p**2.
4*p**2*(p + 12)*(5*p - 2)
Find h such that h**3 - h**2 - 6*h = 0.
-2, 0, 3
What is w in 2*w**4/5 + 4*w**3/5 - 14*w**2/5 - 16*w/5 + 24/5 = 0?
-3, -2, 1, 2
Determine s, given that s**3/3 - 11*s**2 - 70*s/3 = 0.
-2, 0, 35
Factor 3*z**3/8 + 3*z**2 - 27*z/8.
3*z*(z - 1)*(z + 9)/8
Determine r so that 2*r**3 - 4*r**2 + 2*r = 0.
0, 1
Factor 8*r**4/11 - 10*r**3/11 + 2*r**2/11.
2*r**2*(r - 1)*(4*r - 1)/11
Solve 3*j**2/8 + 627*j/2 + 131043/2 = 0 for j.
-418
Factor 2*s**4/3 + 10*s**3 + 122*s**2/3 + 14*s - 196/3.
2*(s - 1)*(s + 2)*(s + 7)**2/3
Factor 2*b**4 - 8*b**3 - 3876*b**2 - 85544*b - 540430.
2*(b - 55)*(b + 17)**3
Solve -2*a**5 - 5*a**4 + 67*a**3 - 152*a**2 + 124*a - 32 = 0 for a.
-8, 1/2, 1, 2
Factor 4*g**2 - 1804*g - 1808.
4*(g - 452)*(g + 1)
Factor 2*c**5 - 32*c**4 + 168*c**3 - 288*c**2.
2*c**2*(c - 6)**2*(c - 4)
Determine v so that -4*v**3 - 288*v**2 - 5184*v = 0.
-36, 0
Find m such that -5*m**3/2 + 35*m**2 - 325*m/2 + 250 = 0.
4, 5
Factor 2*v**3 - 8*v**2 + 2*v + 12.
2*(v - 3)*(v - 2)*(v + 1)
Factor -3*r**2/4 + 213*r/4 - 105/2.
-3*(r - 70)*(r - 1)/4
Factor -5*q**3 + 15*q**2 + 140*q.
-5*q*(q - 7)*(q + 4)
Factor 4*f**4 - 20*f**3 + 24*f**2.
4*f**2*(f - 3)*(f - 2)
Factor -i**3/4 + 201*i**2 - 40401*i.
-i*(i - 402)**2/4
Factor -4*p**2 - 16*p + 48.
-4*(p - 2)*(p + 6)
Determine c, given that 5*c**4 + 5*c**3 = 0.
-1, 0
Factor -4*a**3 - 104*a**2 - 284*a - 184.
-4*(a + 1)*(a + 2)*(a + 23)
Determine j so that 7*j**5/9 - 22*j**4 + 140*j**3/3 - 104*j**2/9 = 0.
0, 2/7, 2, 26
Determine l so that -32*l**5/13 - 48*l**4 + 318*l**3/13 - 40*l**2/13 = 0.
-20, 0, 1/4
Suppose 2*f**3/3 + 10*f**2/3 - 44*f/3 + 32/3 = 0. What is f?
-8, 1, 2
Factor 224*l**3 + 306*l**2 - 276*l + 16.
2*(l + 2)*(7*l - 4)*(16*l - 1)
Solve -5915*c**4 + 14430*c**3 - 5495*c**2 + 600*c - 20 = 0 for c.
1/13, 2/7, 2
Solve 2*g**5 - 50*g**4 - 108*g**3 = 0.
-2, 0, 27
What is n in 2*n**3 + 56*n**2 + 330*n - 900 = 0?
-15, 2
Determine b, given that b**2/6 + 11*b/2 + 15 = 0.
-30, -3
Suppose 2*j**2/7 + 752*j/7 - 754/7 = 0. Calculate j.
-377, 1
Determine p so that -13*p**3/2 + 131*p**2 - 670*p + 100 = 0.
2/13, 10
Determine a, given that 2*a**4 - 72*a**3 - 182*a**2 + 1140*a = 0.
-5, 0, 3, 38
Find h, given that -6*h**4/7 - 90*h**3/7 - 408*h**2/7 - 576*h/7 = 0.
-8, -4, -3, 0
Factor -2*g**3/15 + 1672*g**2/15 + 3362*g/5 + 5052/5.
-2*(g - 842)*(g + 3)**2/15
Factor 15*r**2/7 + 303*r/7 + 60/7.
3*(r + 20)*(5*r + 1)/7
Factor -2*k**2/3 + 178*k/3 - 176/3.
-2*(k - 88)*(k - 1)/3
Factor -3*n**3 - 7*n**2 + 6*n.
-n*(n + 3)*(3*n - 2)
Suppose -w**4/4 + 12*w**3 - 69*w**2/2 + 34*w - 45/4 = 0. What is w?
1, 45
Determine a so that 25*a**5 - 6945*a**4 + 72919*a**3 - 221883*a**2 + 144280*a - 26700 = 0.
2/5, 5, 267
Factor 2*r**4/5 + 1248*r**3/5 + 3732*r**2/5 + 3728*r/5 + 1242/5.
2*(r + 1)**3*(r + 621)/5
What is q in -2*q**3 - 8350*q**2 - 8719486*q - 8711138 = 0?
-2087, -1
Factor 3*j**3 - 3*j**2 - 6*j.
3*j*(j - 2)*(j + 1)
Factor u**4/3 - 22*u**3/3 - u**2/3 + 22*u/3.
u*(u - 22)*(u - 1)*(u + 1)/3
Let -2*j**3/3 - 10*j**2 + 32*j/3 = 0. Calculate j.
-16, 0, 1
Find y such that 4*y**5 + 1796*y**4 + 206048*y**3 + 999904*y**2 + 1584192*y + 788544 = 0.
-222, -2, -1
Let -x**3/7 + 5*x**2/7 - 8*x/7 + 4/7 = 0. Calculate x.
1, 2
Factor 2*y**4/3 - 8*y**3 - 18*y**2 - 28*y/3.
2*y*(y - 14)*(y + 1)**2/3
Factor -m**5 + 11*m**4 - 22*m**3 - 60*m**2 + 72*m.
-m*(m - 6)**2*(m - 1)*(m + 2)
Suppose -d**4 - 72*d**3 + 222*d**2 - 224*d + 75 = 0. What is d