03)**2*(s - 1)
Factor 5*u**4 + 100*u**3 - 5*u**2 - 100*u.
5*u*(u - 1)*(u + 1)*(u + 20)
Factor -343*v**5/2 + 2107*v**4 - 8911*v**3/2 - 12086*v**2 - 7784*v - 1568.
-(v - 7)**2*(7*v + 4)**3/2
Factor 2*c**5/5 - 46*c**4/5 + 84*c**3/5.
2*c**3*(c - 21)*(c - 2)/5
Suppose 2*a**4 + 16*a**3 - 14*a**2 - 100*a + 96 = 0. Calculate a.
-8, -3, 1, 2
Factor -3*f**5/8 + 3*f**4/8 + 3*f**3/8 - 3*f**2/8.
-3*f**2*(f - 1)**2*(f + 1)/8
Let -f**2/2 + 1297*f = 0. Calculate f.
0, 2594
Factor 3*i**3 + 27*i**2.
3*i**2*(i + 9)
Solve -2*g**4/15 + 4*g**3/15 + 2*g**2/5 = 0.
-1, 0, 3
Factor -3*s**3 + 3*s**2 + 42*s - 72.
-3*(s - 3)*(s - 2)*(s + 4)
Factor -t**3/5 - 2*t**2 + 137*t/5 - 126/5.
-(t - 7)*(t - 1)*(t + 18)/5
Find r, given that -4*r**5/5 - 8*r**4 - 96*r**3/5 + 8*r**2 + 20*r = 0.
-5, -1, 0, 1
Let -3*b**2/2 + 138*b - 3174 = 0. What is b?
46
Solve -i**3/8 + 843*i**2/2 - 710649*i/2 = 0 for i.
0, 1686
Suppose -3*z**5 + 387*z**4 = 0. What is z?
0, 129
Factor 3*n**4/8 + 11*n**3/4 + 23*n**2/8 - n - 3/2.
(n + 1)**2*(n + 6)*(3*n - 2)/8
Factor b**4/3 - 43*b**2/3 + 14*b.
b*(b - 6)*(b - 1)*(b + 7)/3
Factor -v**2 - 45*v - 234.
-(v + 6)*(v + 39)
Let -382*l**2/3 + 3442*l/9 - 4/3 = 0. What is l?
2/573, 3
Factor q**4/4 - 9*q**3/4 - 33*q**2/4 - 35*q/4 - 3.
(q - 12)*(q + 1)**3/4
Factor -3*a**3/4 + 15*a**2/2 + 111*a/4 + 39/2.
-3*(a - 13)*(a + 1)*(a + 2)/4
Factor u**3/3 - 2*u**2 - 7*u/3.
u*(u - 7)*(u + 1)/3
Factor 2*b**2/11 - 6736*b/11 + 5671712/11.
2*(b - 1684)**2/11
Solve -f**2 - 140*f - 675 = 0.
-135, -5
Determine z, given that 8*z**3/11 + 850*z**2/11 + 22684*z/11 + 5618/11 = 0.
-53, -1/4
Factor b**3/8 - b**2/4 - 3*b/8.
b*(b - 3)*(b + 1)/8
Solve -7*z**4/10 - 8*z**3/5 - 11*z**2/10 - z/5 = 0 for z.
-1, -2/7, 0
Let 3*n**3 - 510*n**2 - 2643*n + 3150 = 0. What is n?
-6, 1, 175
Factor 2*u**2/19 + 108*u/19 + 1066/19.
2*(u + 13)*(u + 41)/19
Find r such that 2*r**3/5 + 84*r**2/5 - 266*r/5 + 36 = 0.
-45, 1, 2
Suppose 5*x**5 + 5*x**4 - 10*x**3 - 10*x**2 + 5*x + 5 = 0. What is x?
-1, 1
Solve -3*q**3 + 24*q**2 - 48*q = 0.
0, 4
Determine n, given that 2*n**3/5 + 24*n**2 + 210*n + 500 = 0.
-50, -5
What is k in -3*k**3 - 141*k**2 - 1425*k + 5625 = 0?
-25, 3
Find j such that -2*j**3/11 - 8*j**2/11 - 10*j/11 - 4/11 = 0.
-2, -1
Find x, given that -48*x**4 + 128*x**3 + 4*x**2 - 116*x - 40 = 0.
-1/2, 5/3, 2
Solve 2*r**5 - 14*r**4 + 14*r**3 + 102*r**2 - 288*r + 216 = 0 for r.
-3, 2, 3
Let -2*w**2/3 - 176*w + 4352/3 = 0. Calculate w.
-272, 8
Factor -20*f**4 - 114*f**3 + 216*f**2.
-2*f**2*(2*f - 3)*(5*f + 36)
Suppose 3*x**4 + 71*x**3 + 283*x**2 + 329*x + 114 = 0. Calculate x.
-19, -3, -1, -2/3
What is l in 5*l**2 + 625*l + 2420 = 0?
-121, -4
Factor -k**3 - 27*k**2 - 168*k + 196.
-(k - 1)*(k + 14)**2
Let 5*z**2 - 200*z - 420 = 0. What is z?
-2, 42
Factor -2*n**3 - 20*n**2 - 42*n.
-2*n*(n + 3)*(n + 7)
Determine i so that -364*i**5 - 160*i**4 + 1076*i**3 + 1208*i**2 + 368*i + 32 = 0.
-1, -2/7, -2/13, 2
Factor 7*j**4 + 65*j**3 + 116*j**2 + 28*j.
j*(j + 2)*(j + 7)*(7*j + 2)
Suppose 3*d**5 - 591*d**4 + 29979*d**3 - 85845*d**2 + 56454*d = 0. What is d?
0, 1, 2, 97
Solve m**4/2 - 168*m**3 - m**2/2 + 168*m = 0.
-1, 0, 1, 336
Solve v**3 - v**2 - 5*v - 3 = 0 for v.
-1, 3
Determine n, given that -12*n**5 + 92*n**4 + 284*n**3 - 12*n**2 - 272*n - 80 = 0.
-2, -1, -1/3, 1, 10
Let 2106*k**5/5 - 714*k**4/5 - 280*k**3 + 8*k**2/5 = 0. Calculate k.
-2/3, 0, 2/351, 1
Let 3*l**5/4 - 5*l**4 + 8*l**3 + 11*l**2/2 - 51*l/4 - 9/2 = 0. Calculate l.
-1, -1/3, 2, 3
Factor -4*i**4 - 20*i**3 - 36*i**2 - 28*i - 8.
-4*(i + 1)**3*(i + 2)
Find i such that -i**4/7 + 6*i**3 + 48*i**2/7 - 218*i/7 + 129/7 = 0.
-3, 1, 43
What is b in -2*b**4/23 + 8*b**3/23 + 26*b**2/23 - 8*b/23 - 24/23 = 0?
-2, -1, 1, 6
Find q such that -3*q**3/2 - 45*q**2/2 - 81*q/2 - 39/2 = 0.
-13, -1
Determine t, given that -81*t**4/5 - 927*t**3/5 - 2958*t**2/5 - 320*t + 512/5 = 0.
-16/3, -1, 2/9
Determine c, given that 5*c**2 - 130*c + 125 = 0.
1, 25
Let 55*v**5 + 10*v**4 - 1870*v**3 - 5620*v**2 - 4425*v - 630 = 0. What is v?
-3, -1, -2/11, 7
Suppose -3*q**5 - 84*q**4 - 234*q**3 - 228*q**2 - 75*q = 0. Calculate q.
-25, -1, 0
Suppose 4*l**3/3 - 12*l**2 + 44*l/3 + 28 = 0. What is l?
-1, 3, 7
Factor k**3/5 - 14*k**2/5 - 49*k/5 - 34/5.
(k - 17)*(k + 1)*(k + 2)/5
Suppose i**5 + 9*i**4 - 13*i**3 - 29*i**2 + 12*i + 20 = 0. Calculate i.
-10, -1, 1, 2
Factor 3*d**3 - 105*d**2 - 222*d.
3*d*(d - 37)*(d + 2)
Factor -d**3 + 19*d**2/3 + 38*d/3 + 16/3.
-(d - 8)*(d + 1)*(3*d + 2)/3
Determine d, given that 2*d**2 + 13420*d - 13422 = 0.
-6711, 1
Factor 3*s**3 + 12*s**2 - 3*s - 12.
3*(s - 1)*(s + 1)*(s + 4)
Factor -3*t**3 - 87*t**2 + 396*t.
-3*t*(t - 4)*(t + 33)
Suppose 3*a**2/5 - 24*a/5 + 9 = 0. Calculate a.
3, 5
Factor -2*u**2 + 22*u + 120.
-2*(u - 15)*(u + 4)
Solve 2*h**4/7 - 46*h**3/7 + 46*h**2 - 674*h/7 + 396/7 = 0.
1, 2, 9, 11
Let w**2/8 - 16*w + 512 = 0. Calculate w.
64
What is u in -2*u**3/21 - 16*u**2/21 - 34*u/21 - 20/21 = 0?
-5, -2, -1
Factor -2*s**4/9 + 32*s**3/9 - 142*s**2/9 + 112*s/9.
-2*s*(s - 8)*(s - 7)*(s - 1)/9
Factor 2*r**3/3 + 286*r**2/3 + 3360*r - 3456.
2*(r - 1)*(r + 72)**2/3
Suppose 20*v**3/9 + 34*v**2/9 + 8*v/9 - 2/3 = 0. Calculate v.
-1, 3/10
Solve 2*k**4/5 - 8*k**3/5 - 2*k**2 = 0.
-1, 0, 5
Factor -3*w**2/7 + 270*w/7 - 267/7.
-3*(w - 89)*(w - 1)/7
What is i in -i**3/4 + 47*i**2/4 - 67*i/2 + 22 = 0?
1, 2, 44
Suppose -2*y**5 - 12*y**4 + 22*y**3 + 120*y**2 - 200*y = 0. What is y?
-5, 0, 2
Suppose -6*l**4 - 14*l**3 + 26*l**2 + 46*l + 12 = 0. What is l?
-3, -1, -1/3, 2
Suppose 6*b**5/7 + 8*b**4 + 46*b**3/7 - 180*b**2/7 - 304*b/7 - 128/7 = 0. What is b?
-8, -4/3, -1, 2
Suppose -5*g**5/2 + 5*g**4 + 15*g**3 - 20*g**2 - 25*g/2 + 15 = 0. What is g?
-2, -1, 1, 3
Factor b**2/3 - 140*b/3 + 139/3.
(b - 139)*(b - 1)/3
Factor -2*x**3 - 112*x**2 - 1568*x.
-2*x*(x + 28)**2
What is a in a**4/6 - a**3/2 + a**2/3 = 0?
0, 1, 2
Find n such that -3*n**3 + 90*n**2 - 171*n + 84 = 0.
1, 28
Find o such that -30*o**2 + 235*o + 40 = 0.
-1/6, 8
Solve -2*q**4/13 - 4*q**3 - 94*q**2/13 + 4*q + 96/13 = 0 for q.
-24, -2, -1, 1
Determine n so that -5*n**2 + 1810*n + 1815 = 0.
-1, 363
Factor -y**3 + 13*y**2 - 35*y - 49.
-(y - 7)**2*(y + 1)
Suppose -4*j**3/5 - 48*j**2/5 - 44*j/5 = 0. Calculate j.
-11, -1, 0
Factor -t**2 + 28*t - 75.
-(t - 25)*(t - 3)
Factor -j**3/4 + 61*j**2 - 14637*j/4 - 15129/2.
-(j - 123)**2*(j + 2)/4
Solve 4*y**2 - 32*y - 192 = 0.
-4, 12
Factor -4*f**3/9 + 584*f**2/9 - 3380*f/9 + 2800/9.
-4*(f - 140)*(f - 5)*(f - 1)/9
What is r in -2*r**3 + 50*r**2 + 108*r = 0?
-2, 0, 27
Suppose -4*q**5 - 4*q**4 + 12*q**3 + 4*q**2 - 8*q = 0. What is q?
-2, -1, 0, 1
Factor 2*s**3 + 56*s**2.
2*s**2*(s + 28)
Factor 3*u**3 + 5976*u**2 + 3968064*u + 878264832.
3*(u + 664)**3
Factor 4*f**4 - 4*f**3 - 12*f**2 + 4*f + 8.
4*(f - 2)*(f - 1)*(f + 1)**2
Suppose n**4 - n**3/3 - 3*n**2 - n + 2/3 = 0. What is n?
-1, 1/3, 2
Suppose -3*s**3 + 39*s**2 - 36*s = 0. What is s?
0, 1, 12
What is s in -s**5/3 + 4*s**4 - 7*s**3/3 - 16*s**2 + 44*s/3 = 0?
-2, 0, 1, 2, 11
Factor -3*m**3 - 3*m**2 + 1452*m + 1452.
-3*(m - 22)*(m + 1)*(m + 22)
Factor 9*l**4 - 210*l**3 + 63*l**2 + 138*l.
3*l*(l - 23)*(l - 1)*(3*l + 2)
Factor -2*o**3 + 1210*o**2 + 1212*o.
-2*o*(o - 606)*(o + 1)
Factor -3*q**5 - 219*q**4 - 2520*q**3 + 58212*q**2.
-3*q**2*(q - 11)*(q + 42)**2
Solve -2*f**2 - 184*f - 1782 = 0.
-81, -11
Factor 5*h**3 - 1000*h**2 - 1005*h.
5*h*(h - 201)*(h + 1)
Factor 5*p**4/3 + 370*p**3/3 + 2320*p**2 + 50560*p/3 + 128000/3.
5*(p + 8)**3*(p + 50)/3
Determine u, given that -2*u**2/3 + 172*u - 11094 = 0.
129
Determine l, given that -3*l**4 + 96*l**3 - 1071*l**2 + 4698*l - 5832 = 0.
2, 9, 12
Find q, given that -q**3/4 - 137*q**2/4 + q/4 + 137/4 = 0.
-137, -1, 1
Factor 81*h**2/4 + 171*h + 361.
(9*h + 38)**2/4
What is y in 4*y**3 + 12*y**2 = 0?
-3, 0
Factor -2*x**4/13 - 14*x**3/13 - 24*x**2/13.
-2*x**2*(x + 3)*(x + 4)/13
Factor -14*z**5 - 10*z**4 + 4*z**3.
-2*z**3*(z + 1)*(7*z - 2)
Let n**2 - 5708*n + 8145316 = 0. What is n?
2854
Determine y so that 3*y**5 - 9*y**4 - 96*y**3 - 180*y**2 - 96*y = 0.
-2, -1, 0, 8
Factor -9*n**2 + 1209*n - 402.
-3*(n - 134)*(3*n - 1)
Factor -31944*d**4/7 - 24684*d**3 - 67122*d**2/7 - 8991*d/7 - 405/7.
-3*(d + 5)*(22*d + 3)**3/7
Determine r so that 772245*r**3 - 5397855*r**2 - 55000*r - 140 = 0.
-2/393, 7
Determine h, gi