*s.
5*s*(s - 1)*(s + 5)
Find y, given that -18*y**4/7 + 768*y**3/7 + 268*y**2/7 - 432*y/7 + 86/7 = 0.
-1, 1/3, 43
Factor 3*w**2 - 111*w - 114.
3*(w - 38)*(w + 1)
Factor -104*b**2 - 300*b + 36.
-4*(b + 3)*(26*b - 3)
Let -g**5 - 9*g**4 - 19*g**3 + 21*g**2 + 92*g + 60 = 0. What is g?
-5, -3, -2, -1, 2
Factor s**4/4 - 7*s**3/2 - 303*s**2/4 - 315*s - 243.
(s - 27)*(s + 1)*(s + 6)**2/4
Factor r**3/2 + 22*r**2 + 637*r/2 + 1521.
(r + 13)**2*(r + 18)/2
What is j in -j**2 - 11*j + 312 = 0?
-24, 13
Solve 3*r**4 + 3*r**3 - 42*r**2 - 72*r = 0 for r.
-3, -2, 0, 4
Find h, given that h**5/3 + h**4/3 = 0.
-1, 0
Factor -5*q**2 + 580*q + 585.
-5*(q - 117)*(q + 1)
Factor 5*r**4 - 550*r**3 + 8060*r**2 - 14490*r + 6975.
5*(r - 93)*(r - 15)*(r - 1)**2
Suppose n**3/3 + 239*n**2/3 + 10507*n/3 - 159201 = 0. What is n?
-133, 27
Find x such that -x**4/4 + 3*x**3/4 + 59*x**2/2 + 57*x - 234 = 0.
-6, 2, 13
Solve -2*q**2 - 8012*q - 8024018 = 0.
-2003
Let 4*a**4/7 + 44*a**3/7 - 184*a**2/7 - 32*a = 0. What is a?
-14, -1, 0, 4
Factor 2*m**5/17 - 90*m**4/17 + 1140*m**3/17 - 2900*m**2/17 + 2730*m/17 - 882/17.
2*(m - 21)**2*(m - 1)**3/17
Determine i, given that 5*i**2 - 35070*i + 61495245 = 0.
3507
Suppose 20*r**5 - 266*r**4/3 + 274*r**3/3 - 34*r**2/3 - 46*r/3 + 4 = 0. Calculate r.
-2/5, 1/3, 1/2, 1, 3
Factor 2*m**3 - 42*m**2 + 78*m - 38.
2*(m - 19)*(m - 1)**2
Solve r**4 + r**3 - 21*r**2 - 9*r + 108 = 0 for r.
-4, -3, 3
Find u, given that 3*u**3 + 146*u**2 + 1824*u + 1152 = 0.
-24, -2/3
Factor -9*g**2/10 - 7*g/10.
-g*(9*g + 7)/10
Find t, given that -2*t**5/13 - 28*t**4/13 - 122*t**3/13 - 232*t**2/13 - 200*t/13 - 64/13 = 0.
-8, -2, -1
Suppose -32*k**5 - 336*k**4 - 898*k**3 - 836*k**2 - 270*k - 28 = 0. What is k?
-7, -2, -1, -1/4
Let -3*v**3 + 9*v**2/4 + 147*v/4 + 9 = 0. What is v?
-3, -1/4, 4
Factor -2*q**4 - 6*q**3.
-2*q**3*(q + 3)
Suppose -4*f**5 + 48*f**4 - 92*f**3 - 144*f**2 = 0. Calculate f.
-1, 0, 4, 9
Factor -213*q**2 - 1260*q + 108.
-3*(q + 6)*(71*q - 6)
Suppose -2*v**5 - 2*v**4 + 82*v**3 - 222*v**2 + 144*v = 0. Calculate v.
-8, 0, 1, 3
Factor -2*c**4/7 - 308*c**3 - 574538*c**2/7 + 500808*c - 5287752/7.
-2*(c - 3)**2*(c + 542)**2/7
Suppose -p**3 - 39*p**2 - 164*p + 204 = 0. What is p?
-34, -6, 1
Determine d so that d**5/2 - 207*d**4/2 + 615*d**3/2 - 613*d**2/2 + 102*d = 0.
0, 1, 204
Factor 120*a**2 - 476*a - 16.
4*(a - 4)*(30*a + 1)
Factor -2*q**4 - 33*q**3 - 29*q**2 + 33*q + 31.
-(q - 1)*(q + 1)**2*(2*q + 31)
Let -2*h**3/3 - 152*h**2/3 = 0. Calculate h.
-76, 0
Factor -5*z**2/6 - 513*z + 616/3.
-(z + 616)*(5*z - 2)/6
Find t, given that 8*t**4/17 + 66*t**3/17 + 56*t**2/17 - 390*t/17 - 100/17 = 0.
-5, -1/4, 2
Suppose -5*x**4 - 110*x**3 + 660*x**2 - 450*x - 1215 = 0. What is x?
-27, -1, 3
Factor -h**3 + 19*h**2 + 244*h + 224.
-(h - 28)*(h + 1)*(h + 8)
What is v in -5*v**3/2 - 987*v**2/2 - 687*v - 196 = 0?
-196, -1, -2/5
Determine c so that -2*c**4 - 4*c**3 + 114*c**2 + 116*c - 224 = 0.
-8, -2, 1, 7
Find y such that -28*y**5 + 148*y**4 - 124*y**3 - 116*y**2 + 152*y - 32 = 0.
-1, 2/7, 1, 4
Suppose -4*o**5 + 292*o**4 + 3564*o**3 + 11068*o**2 + 1880*o - 16800 = 0. What is o?
-5, -2, 1, 84
Determine x so that 2*x**4/5 + 144*x**3/5 + 432*x**2 - 8640*x - 194400 = 0.
-30, 18
Factor -24*k**3 + 51*k**2 + 21*k - 54.
-3*(k - 2)*(k + 1)*(8*k - 9)
Determine t, given that -2*t**4/9 + 20*t**3/3 + 2*t**2/3 - 176*t/9 - 40/3 = 0.
-1, 2, 30
Solve -3*f**2 - 153*f - 294 = 0 for f.
-49, -2
Let -5*a**3/2 + 30*a**2 - 55*a/2 = 0. Calculate a.
0, 1, 11
Suppose 2*t**5/7 - 32*t**4/7 + 114*t**3/7 - 4*t**2 - 176*t/7 = 0. Calculate t.
-1, 0, 2, 4, 11
Determine r, given that 10*r**3/11 + 368*r**2/11 - 2174*r/11 + 420/11 = 0.
-42, 1/5, 5
Find g, given that -5*g**2 - 5910*g + 11840 = 0.
-1184, 2
Factor 45*r**4 - 120*r**3 - 295*r**2 + 230*r - 40.
5*(r - 4)*(r + 2)*(3*r - 1)**2
Let 3*q**4 - 3*q**3 = 0. Calculate q.
0, 1
Let 10*b**3/9 - 194*b**2/9 + 118*b - 126 = 0. Calculate b.
7/5, 9
Determine g, given that g**3 - 6*g**2 + 11*g - 6 = 0.
1, 2, 3
Determine s so that -s**3/2 + 1497*s**2/2 - 747003*s/2 + 124251499/2 = 0.
499
Solve 2*p**3 - 100*p**2/7 + 222*p/7 - 144/7 = 0 for p.
8/7, 3
Factor 2*j**4/5 - 32*j**3/5 + 186*j**2/5 - 92*j + 80.
2*(j - 5)**2*(j - 4)*(j - 2)/5
Factor 18*g**3/17 + 12*g**2/17 - 190*g/17 + 200/17.
2*(g + 4)*(3*g - 5)**2/17
Factor -m**3/3 + 61*m**2 - 121*m + 181/3.
-(m - 181)*(m - 1)**2/3
Let 2*i**2/9 - 284*i/3 + 10082 = 0. Calculate i.
213
Factor -2*y**4 + 190*y**3 - 184*y**2 - 376*y.
-2*y*(y - 94)*(y - 2)*(y + 1)
Factor 2*b**4 - 22*b**3 + 68*b**2 - 48*b.
2*b*(b - 6)*(b - 4)*(b - 1)
Factor -d**2/4 + d/4.
-d*(d - 1)/4
Determine c so that 5*c**2/4 - 1080*c + 233280 = 0.
432
Factor 4185*n**2 + 4195*n + 10.
5*(n + 1)*(837*n + 2)
Solve -2*t**3/5 + 16*t**2/5 - 8*t + 32/5 = 0.
2, 4
Factor 4*k**5 - 60*k**3 - 40*k**2 + 240*k + 288.
4*(k - 3)**2*(k + 2)**3
What is z in 3*z**4/2 + 21*z**3/2 + 24*z**2 + 18*z = 0?
-3, -2, 0
Solve -5*r**2 - 240*r - 2880 = 0 for r.
-24
Factor -k**2/4 - 983*k/2 + 1967/4.
-(k - 1)*(k + 1967)/4
Factor -7*k**3 + 152*k**2 - 775*k - 234.
-(k - 13)*(k - 9)*(7*k + 2)
Factor -2*n**3/9 - 3250*n**2/9.
-2*n**2*(n + 1625)/9
Find p, given that -3*p**4/4 - 15*p**3/2 + 9*p**2/4 + 21*p - 15 = 0.
-10, -2, 1
Solve 3*m**4 - 273*m**3 - 846*m**2 = 0.
-3, 0, 94
Factor o**5/3 - 10*o**4 + 26*o**3/3 + 92*o**2/3 - 49*o + 58/3.
(o - 29)*(o - 1)**3*(o + 2)/3
Factor 4*m**3/5 - 52*m/5 + 48/5.
4*(m - 3)*(m - 1)*(m + 4)/5
Factor x**2 + 7*x.
x*(x + 7)
Factor -2*n**4/9 + 2*n**3/9 + 20*n**2/3.
-2*n**2*(n - 6)*(n + 5)/9
Find r, given that 2*r**5/5 - 90*r**4 + 25974*r**3/5 - 73926*r**2/5 = 0.
0, 3, 111
Factor 65*g**2 + 75*g.
5*g*(13*g + 15)
Factor -2*a**2/3 - 478*a/3 - 1672.
-2*(a + 11)*(a + 228)/3
What is b in -b**4 + 35*b**3 - 327*b**2 + 553*b - 260 = 0?
1, 13, 20
Factor 3*m**2/2 - 30*m - 63/2.
3*(m - 21)*(m + 1)/2
Factor 2*c**4/5 - 122*c**3/5 - 50*c**2 - 126*c/5.
2*c*(c - 63)*(c + 1)**2/5
Suppose -3*b**4/7 - 60*b**3/7 + 1065*b**2/7 + 1230*b/7 - 2232/7 = 0. What is b?
-31, -2, 1, 12
Factor -v**2 + 9*v - 8.
-(v - 8)*(v - 1)
Suppose 4*j**2 - 56*j + 160 = 0. Calculate j.
4, 10
Determine p, given that -2*p**5/3 - 2*p**4 - 2*p**3/3 + 2*p**2 + 4*p/3 = 0.
-2, -1, 0, 1
Factor r**3/5 - 141*r**2/5 - 86*r - 288/5.
(r - 144)*(r + 1)*(r + 2)/5
Suppose -4*u**5 + 12*u**4 + 140*u**3 - 300*u**2 - 1000*u = 0. What is u?
-5, -2, 0, 5
Factor 2*i**2/5 + 54*i/5 - 56/5.
2*(i - 1)*(i + 28)/5
Let -3*l**3/4 - 135*l**2 - 1071*l/4 - 267/2 = 0. Calculate l.
-178, -1
Suppose -o**3 + 14*o**2 = 0. Calculate o.
0, 14
Determine r so that 3*r**5/4 - 169*r**4/4 + 1203*r**3/2 - 168*r**2 - 392*r = 0.
-2/3, 0, 1, 28
What is h in h**2/7 - 75*h - 1054/7 = 0?
-2, 527
Factor h**3/3 + 22*h**2/3 + 41*h/3 + 20/3.
(h + 1)**2*(h + 20)/3
Factor -4*m**2 + 8*m + 12.
-4*(m - 3)*(m + 1)
Factor -5*v**3 - 55*v**2 - 120*v + 180.
-5*(v - 1)*(v + 6)**2
Determine q so that q**2 + 8*q = 0.
-8, 0
Solve 14*i**5 - 26*i**4 - 30*i**3 + 50*i**2 + 16*i - 24 = 0 for i.
-1, 6/7, 1, 2
Factor 2*z**3 + 5760*z**2 + 11514*z + 5756.
2*(z + 1)**2*(z + 2878)
Solve 3*g**5/7 - 3*g**4 - 54*g**3/7 = 0 for g.
-2, 0, 9
Suppose 25*m**4/2 + 5*m**3/2 - 25*m**2/2 - 5*m/2 = 0. Calculate m.
-1, -1/5, 0, 1
Determine y so that -3*y**2 - 21*y + 180 = 0.
-12, 5
What is k in -k**4/7 + 2*k**3/7 + k**2/7 - 2*k/7 = 0?
-1, 0, 1, 2
Determine a so that -2*a**2/9 + 8/9 = 0.
-2, 2
Let -14*g**5 - 46*g**4 - 54*g**3 - 26*g**2 - 4*g = 0. What is g?
-1, -2/7, 0
Factor -2*l**3 + 294*l**2.
-2*l**2*(l - 147)
Solve -2*w**3/3 - 48*w**2 + 146*w/3 = 0.
-73, 0, 1
Find c, given that 5*c**3 - 15*c + 10 = 0.
-2, 1
Let 5*z**2/4 - 3355*z/2 + 2251205/4 = 0. What is z?
671
Factor 3*n**3 + 102*n**2 - 525*n - 30000.
3*(n - 16)*(n + 25)**2
Factor 45*q**3 + 215*q**2 + 220*q - 60.
5*(q + 2)*(q + 3)*(9*q - 2)
Suppose 2*c**5 - 14*c**3 - 12*c**2 = 0. What is c?
-2, -1, 0, 3
Factor 3*d**2/4 + 21*d/2 - 153/4.
3*(d - 3)*(d + 17)/4
Let -2*w**4/7 - 54*w**3/7 - 274*w**2/7 + 1230*w/7 - 900/7 = 0. What is w?
-15, 1, 2
What is h in 675*h**4/2 - 1035*h**3/2 + 204*h**2 - 24*h = 0?
0, 4/15, 1
Factor -o**2/5 - 502*o/5 - 497.
-(o + 5)*(o + 497)/5
Determine b so that 2*b**3 + 182*b**2 + 704*b + 696 = 0.
-87, -2
Suppose -2*l**4/11 - 430*l**3/11 - 30222*l**2/11 - 650138*l/11 + 3112136/11 = 0. Calculate l.
-73, 4
Factor -2*n**2 + 312*n.
-2*n*(n - 156