 - 5*o**2 = 0 for o.
-1, 0, 1
Factor 6*u**3 - 249*u**2 + 2760*u - 3600.
3*(u - 20)**2*(2*u - 3)
Factor x**4 - 9*x**3 - 12*x**2 + 20*x.
x*(x - 10)*(x - 1)*(x + 2)
Factor n**3/2 - 15*n**2 + 153*n/2 - 108.
(n - 24)*(n - 3)**2/2
Determine h so that 7*h**2/4 - 23*h + 13/4 = 0.
1/7, 13
Solve 12*o**5 + 76*o**4 - 44*o**3 - 332*o**2 + 432*o - 144 = 0 for o.
-6, -3, 2/3, 1
Let -125*s**3 + 50*s**2 - 5*s = 0. Calculate s.
0, 1/5
Suppose 5*s**5 + 740*s**4 + 36005*s**3 + 550750*s**2 - 1212500*s + 625000 = 0. Calculate s.
-50, 1
Factor -y**2/9 + 31*y/9 - 28/3.
-(y - 28)*(y - 3)/9
Factor 4*y**3/5 + 156*y**2/5 + 704*y/5 + 816/5.
4*(y + 2)*(y + 3)*(y + 34)/5
Factor 4*q**2 + 1076*q - 7728.
4*(q - 7)*(q + 276)
Suppose 4*s**4/11 + 126*s**3/11 + 398*s**2/11 + 168*s/11 = 0. What is s?
-28, -3, -1/2, 0
What is c in -2*c**3/25 - 56*c**2/25 - 54*c/25 = 0?
-27, -1, 0
Suppose 2*t**3 + 34*t**2 + 192*t + 360 = 0. Calculate t.
-6, -5
Suppose -2*u**5/9 + 22*u**4/9 - 2*u**3/9 - 158*u**2/9 - 212*u/9 - 80/9 = 0. Calculate u.
-1, 4, 10
Factor -2*l**4/7 - 2*l**3/7 + 4*l**2/7.
-2*l**2*(l - 1)*(l + 2)/7
Let -3*q**3 - 87*q**2 - 480*q + 2304 = 0. What is q?
-16, 3
Find q, given that -6*q**3/5 + 354*q**2/5 + 726*q/5 + 366/5 = 0.
-1, 61
Factor 2*p**4/3 + 16*p**3 + 80*p**2 + 448*p/3 + 96.
2*(p + 2)**3*(p + 18)/3
Determine p so that -3*p**3 - 75*p**2 + 2076*p + 4428 = 0.
-41, -2, 18
Suppose 2*v**3/3 + 388*v**2/3 + 18424*v/3 - 38416/3 = 0. Calculate v.
-98, 2
Find i, given that 18*i**3 + 255*i**2 + 924*i + 147 = 0.
-7, -1/6
Factor q**3/4 + 13*q**2/2.
q**2*(q + 26)/4
Factor 3*j**2 + 13728*j + 15704832.
3*(j + 2288)**2
Suppose -2*j**2/5 - 128*j/5 - 96 = 0. Calculate j.
-60, -4
Factor 4*b**4 - 96*b**3 - 204*b**2 - 104*b.
4*b*(b - 26)*(b + 1)**2
Factor -3*l**2/5 + 456*l/5.
-3*l*(l - 152)/5
Suppose x**4/4 + 133*x**3/4 + 33*x**2 = 0. Calculate x.
-132, -1, 0
Find j such that j**4/3 + j**3/3 - 10*j**2/3 - 4*j/3 + 8 = 0.
-3, -2, 2
Factor -4*w**2 - 360*w - 356.
-4*(w + 1)*(w + 89)
Factor 3*g**2/8 + 69*g/8.
3*g*(g + 23)/8
Factor -5*g**3 - 135*g**2 + 5*g + 135.
-5*(g - 1)*(g + 1)*(g + 27)
Factor -y**4/4 - 327*y**3/4.
-y**3*(y + 327)/4
Factor -l**3/5 + 801*l**2/5 - 213867*l/5 + 19034163/5.
-(l - 267)**3/5
Find h such that 34*h**2/9 - 106*h/3 + 12 = 0.
6/17, 9
Factor 2*w**2/3 - 8*w + 24.
2*(w - 6)**2/3
Suppose -4*d**3 + 40*d**2 - 96*d = 0. Calculate d.
0, 4, 6
Find h such that -5*h**3/4 + 157*h**2/4 - 88*h + 29 = 0.
2/5, 2, 29
Factor 10*j**4 - 5*j**3 - 90*j**2 + 45*j.
5*j*(j - 3)*(j + 3)*(2*j - 1)
Determine c so that -12*c**2 + 580*c + 392 = 0.
-2/3, 49
Factor -2*a**3/5 - 606*a**2/5 - 8064*a + 174080.
-2*(a - 17)*(a + 160)**2/5
Suppose 2*l**5 + 202*l**4 + 6518*l**3 + 57190*l**2 - 313600*l + 343000 = 0. What is l?
-35, 2
Factor l**3/5 - 218*l**2/5.
l**2*(l - 218)/5
Determine f, given that 12*f**4 + 200*f**3 + 704*f**2 + 384*f = 0.
-12, -4, -2/3, 0
Suppose c**2/2 - 7*c - 51/2 = 0. What is c?
-3, 17
Determine r so that -2*r**3/5 + 14*r**2/5 - 8*r/5 - 24/5 = 0.
-1, 2, 6
Factor -3*c**3 + 342*c**2 - 672*c.
-3*c*(c - 112)*(c - 2)
Factor x**2/7 + 3*x/7 - 4/7.
(x - 1)*(x + 4)/7
Factor 5*c**3/4 + 45*c**2/4 + 75*c/4 + 35/4.
5*(c + 1)**2*(c + 7)/4
Factor x**2/7 + 51*x/7 + 92.
(x + 23)*(x + 28)/7
Suppose 3*l**3/2 + 24*l**2 + 207*l/2 + 135 = 0. Calculate l.
-10, -3
Factor -5*f**4/8 - 27*f**3/8 + 5*f**2/2 + 3*f/2.
-f*(f - 1)*(f + 6)*(5*f + 2)/8
Determine i, given that -i**3/2 + 31*i**2/4 - 35*i + 147/4 = 0.
3/2, 7
Factor t**3/3 + 122*t**2/3 - 763*t/3 + 640/3.
(t - 5)*(t - 1)*(t + 128)/3
Solve -3*n**3/4 - 315*n**2/2 - 312*n = 0 for n.
-208, -2, 0
Factor 3*s**3 + 636*s**2 + 1251*s - 1890.
3*(s - 1)*(s + 3)*(s + 210)
Solve 2*r**3 - 596*r**2/3 + 262*r - 196/3 = 0.
1/3, 1, 98
Find l such that -l**5/7 + 2*l**4/7 + 9*l**3/7 - 22*l**2/7 - 4*l/7 + 24/7 = 0.
-3, -1, 2
Solve 2*n**5/9 + 10*n**4/9 - 34*n**3/9 - 62*n**2/3 + 16*n + 96 = 0.
-4, -3, 3
Determine m, given that -198*m**5 - 404*m**4 - 8*m**3 + 16*m**2 = 0.
-2, -2/9, 0, 2/11
Find o, given that -o**5/5 + 76*o**4/5 - 1969*o**3/5 + 18586*o**2/5 - 31564*o/5 + 14872/5 = 0.
1, 22, 26
Factor -15*s**4 - 128740*s**3 - 368296530*s**2 - 351150270900*s + 117091016905.
-5*(s + 2861)**3*(3*s - 1)
Find q, given that -2*q**5/19 + 16*q**4/19 - 26*q**3/19 - 44*q**2/19 + 64*q/19 + 64/19 = 0.
-1, 2, 4
Determine u so that u**3/2 + 22*u**2 + 37*u/2 - 129 = 0.
-43, -3, 2
Find v, given that -v**5 - 5*v**4 - 5*v**3 + 5*v**2 + 6*v = 0.
-3, -2, -1, 0, 1
Solve 2*w**2 - 498*w - 1004 = 0.
-2, 251
Factor -4*l**2 + 808*l - 40804.
-4*(l - 101)**2
Factor -2*u**2/5 + 36*u/5.
-2*u*(u - 18)/5
Solve x**4/5 + 63*x**3/5 + 48*x**2 + 236*x/5 = 0 for x.
-59, -2, 0
Let 5*t**4 + 90*t**3 - 320*t**2 - 90*t + 315 = 0. Calculate t.
-21, -1, 1, 3
Solve -2*u**5/9 - 130*u**4/3 + 790*u**3/9 + 130*u**2/3 - 788*u/9 = 0 for u.
-197, -1, 0, 1, 2
Factor 4*b**2 + 444*b + 440.
4*(b + 1)*(b + 110)
Let -3*g**5/4 - 39*g**4/4 + 189*g**3/4 - 249*g**2/4 + 51*g/2 = 0. What is g?
-17, 0, 1, 2
What is y in -y**3/2 - 292*y**2 + 2349*y/2 - 882 = 0?
-588, 1, 3
Solve -3*u**2 + 51*u - 48 = 0.
1, 16
Determine o so that 2*o**4/9 + 4*o**3/9 - 4*o/9 - 2/9 = 0.
-1, 1
Factor 2*x**5 - 18*x**4 + 12*x**3 + 32*x**2.
2*x**2*(x - 8)*(x - 2)*(x + 1)
Factor 10*z**4 - 75*z**3 + 135*z**2 - 50*z.
5*z*(z - 5)*(z - 2)*(2*z - 1)
Let -4*a**5 + 704*a**4 - 30960*a**3 - 2816*a**2 + 123904*a = 0. Calculate a.
-2, 0, 2, 88
Find n such that n**2 - 107*n - 678 = 0.
-6, 113
Suppose -5*b**5 + 115*b**4 - 765*b**3 + 2045*b**2 - 2230*b + 840 = 0. Calculate b.
1, 3, 4, 14
Determine c, given that -2*c**5/5 + 2*c**4 - 16*c**3/5 + 8*c**2/5 = 0.
0, 1, 2
Suppose 2*p**4/7 + 242*p**3/7 - 1000*p**2/7 = 0. What is p?
-125, 0, 4
Determine r, given that 2*r**3/7 + 230*r**2/7 + 6148*r/7 + 5920/7 = 0.
-74, -40, -1
What is f in f**2/4 - 9*f/2 - 10 = 0?
-2, 20
Factor -5*s**2 + 4770*s - 1137645.
-5*(s - 477)**2
Suppose -33045421875*g**3/7 - 89111250*g**2/7 - 80100*g/7 - 24/7 = 0. What is g?
-2/2225
Determine y, given that 4*y**2 - 1520*y + 1516 = 0.
1, 379
Suppose -3*k**2/5 - 21*k/5 = 0. Calculate k.
-7, 0
Suppose -5*p**4 - 150*p**3 + 480*p**2 - 490*p + 165 = 0. Calculate p.
-33, 1
Factor -4*f**5 - 176*f**4 - 2872*f**3 - 21168*f**2 - 65124*f - 46656.
-4*(f + 1)*(f + 9)**3*(f + 16)
Factor -2*p**3/5 - 8*p**2/5 + 34*p/5 + 24.
-2*(p - 4)*(p + 3)*(p + 5)/5
Solve 399*u**4 - 1062*u**3 + 399*u**2 + 252*u + 12 = 0 for u.
-2/7, -1/19, 1, 2
Suppose 4*q**3 - 62*q**2 - 44*q + 192 = 0. Calculate q.
-2, 3/2, 16
What is z in 2*z**2 + 33264*z + 138311712 = 0?
-8316
Factor -4*d**3/5 + 26*d**2/5 - 12*d/5.
-2*d*(d - 6)*(2*d - 1)/5
Find s such that 2*s**2/9 - 172*s/9 + 170/9 = 0.
1, 85
Suppose 7*q**4/3 - 233*q**3/3 + 38*q**2/3 + 932*q/3 - 88 = 0. Calculate q.
-2, 2/7, 2, 33
Determine q, given that q**3 + 54*q**2 + 609*q - 3364 = 0.
-29, 4
Suppose -d**5/6 + 5*d**4/6 + 7*d**3/2 - 85*d**2/6 - 50*d/3 = 0. What is d?
-4, -1, 0, 5
Factor 5*f**3/3 - 70*f**2/3 + 275*f/3 - 70.
5*(f - 7)*(f - 6)*(f - 1)/3
Suppose j**5/6 - 7*j**4/6 + j**3/2 + 19*j**2/6 - 2*j/3 - 2 = 0. Calculate j.
-1, 1, 2, 6
Factor 784*w**3 - 840*w**2 + 57*w - 1.
(w - 1)*(28*w - 1)**2
Factor -2*v**3/13 - 82*v**2/13 - 158*v/13 - 6.
-2*(v + 1)**2*(v + 39)/13
Factor 5*n**2 + 5*n.
5*n*(n + 1)
Solve 150*n**4/11 - 1770*n**3/11 + 504*n**2 - 3624*n/11 + 672/11 = 0 for n.
2/5, 4, 7
Factor 5*c**4/3 + c**3 - 7*c**2/3 - c + 2/3.
(c - 1)*(c + 1)**2*(5*c - 2)/3
Determine f so that -2*f**3/13 + 164*f**2 - 570304*f/13 + 1132096/13 = 0.
2, 532
Suppose -a**4/5 + 97*a**2/5 - 264*a/5 = 0. Calculate a.
-11, 0, 3, 8
Factor 25*l**3 + 835*l**2 + 4380*l + 1620.
5*(l + 6)*(l + 27)*(5*l + 2)
Find w, given that -15*w**5 + 85*w**4 + 65*w**3 - 465*w**2 - 710*w - 280 = 0.
-1, 4, 14/3
Factor 3*f**4/4 - 3*f**3 + 9*f**2/4 + 3*f - 3.
3*(f - 2)**2*(f - 1)*(f + 1)/4
Factor 2*r**4 - 2*r**3 - 12*r**2.
2*r**2*(r - 3)*(r + 2)
Suppose 2*n**4 - 28*n**3 + 72*n**2 - 68*n + 22 = 0. What is n?
1, 11
Factor -4*s**3 + 496*s**2 - 12180*s + 84600.
-4*(s - 94)*(s - 15)**2
Factor -3*u**4/4 + 9*u**3/2 - 9*u**2 + 15*u/2 - 9/4.
-3*(u - 3)*(u - 1)**3/4
Factor 3*t**4/7 + 663*t**3/7 + 1314*t**2/7.
3*t**2*(t + 2)*(t + 219)/7
What is c in c**4 + 18*c**3 - 44*c**2 - 72*c + 160 = 0?
-20, -2, 2
Find w, given that 15*w**4/7 + 88*w**3/7 - 12*w**2/7 = 0.
-6, 0, 2/15
Factor 2*q**2/3 + 8*q/3 - 8.
2*(q - 2)*(q + 6)/3
S