2*j + 1506848 = 0.
-2, 2, 217
Factor -3*f**2/7 - 48*f/7 - 45/7.
-3*(f + 1)*(f + 15)/7
Factor 147*j**3 - 546*j**2 - 165*j - 12.
3*(j - 4)*(7*j + 1)**2
Let -4*p**2 - 252*p - 488 = 0. What is p?
-61, -2
Factor -24*d**3 - 362*d**2 - 1230*d - 100.
-2*(d + 5)*(d + 10)*(12*d + 1)
Determine b, given that -b**5 - b**4 + 16*b**3 - 20*b**2 = 0.
-5, 0, 2
Suppose -2178*h**5 - 65076*h**4 - 55250*h**3 + 7416*h**2 - 232*h = 0. Calculate h.
-29, -1, 0, 2/33
Factor -3*y**4 + 150*y**3 + 3*y**2 - 150*y.
-3*y*(y - 50)*(y - 1)*(y + 1)
Factor -b**3/6 - 4*b**2 - 32*b - 256/3.
-(b + 8)**3/6
Factor -5*p**3 - 15*p**2 + 20.
-5*(p - 1)*(p + 2)**2
Let 4*p**3 - 12*p**2 + 8*p = 0. What is p?
0, 1, 2
Factor -4*t**3 + 12*t**2 - 16.
-4*(t - 2)**2*(t + 1)
Suppose -34*m**4/3 - 718*m**3/9 - 1558*m**2/9 - 326*m/3 - 4 = 0. What is m?
-3, -1, -2/51
Let -2*u**4 + 41*u**3 - 188*u**2 + 84*u = 0. What is u?
0, 1/2, 6, 14
Factor -b**5 - 8*b**4 - b**3 + 82*b**2 + 20*b - 200.
-(b - 2)**2*(b + 2)*(b + 5)**2
Let -2*z**4/3 + 8*z**3/3 - 2*z**2 = 0. What is z?
0, 1, 3
Find j such that 15*j**4 + 70*j**3 + 60*j**2 - 120*j - 160 = 0.
-2, 4/3
Find y such that 4*y**2 - 14636*y + 13388281 = 0.
3659/2
What is s in -2*s**3 - 2*s**2 + 4*s = 0?
-2, 0, 1
Find x, given that 3*x**4/2 + 12*x**3 + 45*x**2/2 = 0.
-5, -3, 0
Find r such that -2*r**5/17 - 90*r**4/17 - 1350*r**3/17 - 7830*r**2/17 - 19440*r/17 - 17496/17 = 0.
-18, -3
Factor -j**4/3 - 2*j**3 + 9*j**2 - 4*j/3 - 12.
-(j - 2)**2*(j + 1)*(j + 9)/3
Determine y, given that -4*y**2 - 580*y + 4256 = 0.
-152, 7
Factor -4*g**3 + 84*g**2 - 80*g.
-4*g*(g - 20)*(g - 1)
Factor -o**3/3 - 159*o**2 + 1288*o - 7760/3.
-(o - 4)**2*(o + 485)/3
Factor 187*h**3/8 + h**2/2 - 187*h/8 - 1/2.
(h - 1)*(h + 1)*(187*h + 4)/8
Let r**2 + 2212*r + 2211 = 0. What is r?
-2211, -1
Suppose i**3/4 - 105*i**2/2 = 0. Calculate i.
0, 210
Factor 3*m**2 + 1389*m + 2766.
3*(m + 2)*(m + 461)
Determine f so that -9*f**4/4 - 735*f**3/4 - 3939*f**2/4 - 4761*f/4 + 513 = 0.
-76, -3, 1/3
Determine q, given that 3*q**5 + 10*q**4/3 - 26*q**3/3 - 16*q**2 - 23*q/3 - 2/3 = 0.
-1, -1/9, 2
Find p such that 2*p**4/11 + 16*p**3/11 + 10*p**2/11 - 28*p/11 = 0.
-7, -2, 0, 1
Factor 5*s**5 - 30*s**4 + 60*s**3 - 50*s**2 + 15*s.
5*s*(s - 3)*(s - 1)**3
Solve -2*l**2/11 + 1316*l/11 - 216482/11 = 0.
329
Factor 4*p**5 + 20*p**4 + 36*p**3 + 28*p**2 + 8*p.
4*p*(p + 1)**3*(p + 2)
What is o in -49*o**5 + 861*o**4 - 2538*o**3 + 1244*o**2 - 168*o = 0?
0, 2/7, 3, 14
Find l such that -3*l**5/4 + 75*l**3/2 - 147*l/4 = 0.
-7, -1, 0, 1, 7
Factor -2*u**2/19 + 502*u/19 - 500/19.
-2*(u - 250)*(u - 1)/19
Determine h, given that -h**4/3 - 13*h**3 - 105*h**2 + 441*h = 0.
-21, 0, 3
Find a, given that -4*a**5 - 64*a**4 - 116*a**3 - 56*a**2 = 0.
-14, -1, 0
Factor 2*c**3/13 - 228*c**2/13.
2*c**2*(c - 114)/13
Suppose -2*i**3/5 + 48*i**2 - 1440*i = 0. What is i?
0, 60
Suppose 4*n**5 - 20*n**4 + 28*n**3 - 12*n**2 = 0. Calculate n.
0, 1, 3
Let -4*o**4/5 + 68*o**3/5 - 276*o**2/5 - 68*o/5 + 56 = 0. What is o?
-1, 1, 7, 10
Factor -v**3/6 - 4*v**2/3 - 10*v/3 - 8/3.
-(v + 2)**2*(v + 4)/6
What is u in 3*u**2 + 15*u + 12 = 0?
-4, -1
Factor 4*f**2 - 16*f - 884.
4*(f - 17)*(f + 13)
Suppose -4*n**3/7 - 96*n**2/7 - 36*n = 0. What is n?
-21, -3, 0
Suppose -x**2/8 + 2 = 0. What is x?
-4, 4
Factor -4*r**4 - 72*r**3 - 420*r**2 - 784*r.
-4*r*(r + 4)*(r + 7)**2
Factor 5*n**3 + 450*n**2 - 1395*n.
5*n*(n - 3)*(n + 93)
Factor v**2/2 - 1/2.
(v - 1)*(v + 1)/2
Find h such that h**4/4 + 11*h**3/4 + 31*h**2/4 + 21*h/4 = 0.
-7, -3, -1, 0
Factor -25*h**3 - 15*h**2 + 270*h.
-5*h*(h - 3)*(5*h + 18)
Factor s**2/2 + 23*s/2.
s*(s + 23)/2
Suppose z**3/6 - 37*z**2/3 + 1369*z/6 = 0. What is z?
0, 37
Factor 2*o**4/3 - 160*o**3/3 + 568*o**2 - 1632*o.
2*o*(o - 68)*(o - 6)**2/3
Factor -4*c**3 - 116*c**2 - 400*c.
-4*c*(c + 4)*(c + 25)
Factor 2*c**3/3 - 2*c**2/3 - 4*c/3.
2*c*(c - 2)*(c + 1)/3
Determine g, given that -2*g**2 - 3512*g - 1541768 = 0.
-878
Factor 5*t**2 - 440*t + 860.
5*(t - 86)*(t - 2)
Find n, given that n**3/3 + 13*n**2/3 - 16*n/3 - 28/3 = 0.
-14, -1, 2
Factor 4*v**2 + 3232*v + 652864.
4*(v + 404)**2
Factor -2*u**2/3 + 202*u/3 + 412/3.
-2*(u - 103)*(u + 2)/3
Factor 3*u**4 - 5*u**3/2 - 3*u**2 + 5*u/2.
u*(u - 1)*(u + 1)*(6*u - 5)/2
Suppose 3*y**4 + 6*y**3 - 144*y**2 = 0. What is y?
-8, 0, 6
Factor -3*i**3 + 81*i**2 + 174*i.
-3*i*(i - 29)*(i + 2)
Factor a**3/4 - 23*a**2/4.
a**2*(a - 23)/4
Suppose -15*d**5/4 + 63*d**4/2 - 69*d**3/2 - 21*d**2 + 153*d/4 - 21/2 = 0. Calculate d.
-1, 2/5, 1, 7
Factor -5*l**3 + 155*l**2.
-5*l**2*(l - 31)
Solve -2*s**4 - 19*s**3 - 39*s**2 + 35*s + 25 = 0.
-5, -1/2, 1
Factor -v**2/7 - 712*v/7.
-v*(v + 712)/7
Suppose 2*t**3 - 26*t**2 + 88*t - 64 = 0. Calculate t.
1, 4, 8
Factor l**3/4 - 155*l**2/4 + 307*l/4 - 153/4.
(l - 153)*(l - 1)**2/4
Suppose -9*h**4 - 210*h**3 + 4815*h**2 - 7560*h + 2964 = 0. What is h?
-38, 2/3, 1, 13
Factor -r**3 - 67*r**2 + r + 67.
-(r - 1)*(r + 1)*(r + 67)
Let i**5/4 + 7*i**4/4 + 13*i**3/4 + i**2/4 - 7*i/2 - 2 = 0. What is i?
-4, -2, -1, 1
Factor -2*t**2 + 236*t + 480.
-2*(t - 120)*(t + 2)
Factor -3*q**2 + 7971*q + 7974.
-3*(q - 2658)*(q + 1)
Factor g**4/7 - 8*g**3 + 309*g**2/7 - 454*g/7 + 200/7.
(g - 50)*(g - 4)*(g - 1)**2/7
Solve 5*y**3 + 13*y**2 + 4*y - 4 = 0 for y.
-2, -1, 2/5
Factor -30*u**3 - 28*u**2 + 902*u - 60.
-2*(u - 5)*(u + 6)*(15*u - 1)
Find j, given that 3*j**3/5 - 33*j**2/5 + 72*j/5 = 0.
0, 3, 8
Factor c**2/3 - c + 2/3.
(c - 2)*(c - 1)/3
Let -3*a**2 - 216*a - 3888 = 0. Calculate a.
-36
Suppose 3*f**5/2 + 249*f**4/2 + 477*f**3 + 231*f**2 - 957*f/2 - 711/2 = 0. What is f?
-79, -3, -1, 1
What is x in -x**4/5 + x**2 - 4/5 = 0?
-2, -1, 1, 2
Solve j**2 + 2424*j + 2423 = 0 for j.
-2423, -1
Factor 2*s**4/5 + 8*s**3/5 - 10*s**2 - 56*s/5.
2*s*(s - 4)*(s + 1)*(s + 7)/5
Let -5*a**5/4 - 5*a**4 + 160*a**3 - 1275*a**2/2 + 3285*a/4 - 675/2 = 0. Calculate a.
-15, 1, 3, 6
Let 2*r**4 + 182*r**3 + 876*r**2 + 1384*r + 688 = 0. What is r?
-86, -2, -1
Factor -4*d**2 + 80*d + 84.
-4*(d - 21)*(d + 1)
Factor -4*v**2 + 8*v.
-4*v*(v - 2)
Determine b, given that 5*b**2/3 + 230*b/3 + 440/3 = 0.
-44, -2
Factor c**3/3 + 4*c**2/3 - 181*c/3 + 176/3.
(c - 11)*(c - 1)*(c + 16)/3
Solve -55*i**4 + 265*i**3 - 390*i**2 + 140*i + 40 = 0 for i.
-2/11, 1, 2
Factor -2*x**3/5 + 14*x**2/5 + 42*x/5 - 54/5.
-2*(x - 9)*(x - 1)*(x + 3)/5
Find k, given that 3*k**2/7 + 222*k/7 - 225/7 = 0.
-75, 1
What is r in -r**3/4 - 27*r**2/2 + 651*r/4 + 176 = 0?
-64, -1, 11
Factor 3*c**5 - 27*c**4 + 78*c**3 - 102*c**2 + 63*c - 15.
3*(c - 5)*(c - 1)**4
What is m in 3*m**2 + 9*m + 6 = 0?
-2, -1
Let m**5/9 + m**4/3 - 11*m**3/9 - 5*m**2/3 + 46*m/9 - 8/3 = 0. What is m?
-4, -3, 1, 2
Suppose -2*w**4/5 + 76*w**3/5 - 792*w**2/5 + 1296*w/5 = 0. What is w?
0, 2, 18
Factor x**5/3 + 19*x**4/3 - 21*x**3 + 65*x**2/3 - 22*x/3.
x*(x - 1)**3*(x + 22)/3
Let 2*g**3/5 + 8*g**2/5 - 62*g + 60 = 0. What is g?
-15, 1, 10
Suppose -15*k**4 - 680*k**3 - 2145*k**2 - 1900*k - 420 = 0. Calculate k.
-42, -2, -1, -1/3
Factor -25*n**3/2 - 145*n**2 + 119*n/2 - 6.
-(n + 12)*(5*n - 1)**2/2
Let -2*g**4/3 + 2*g**3/3 + 2*g**2/3 - 2*g/3 = 0. Calculate g.
-1, 0, 1
Let -2*n**4 + 22*n**3 + 2*n**2 - 22*n = 0. What is n?
-1, 0, 1, 11
Let -5*r**2 - 16070*r - 12912245 = 0. What is r?
-1607
Let -x**2/5 + 12*x - 180 = 0. Calculate x.
30
What is b in b**5/3 - 10*b**4 + 209*b**3/3 - 140*b**2 = 0?
0, 4, 5, 21
Factor -i**3/2 + 6*i**2 - 21*i/2 + 5.
-(i - 10)*(i - 1)**2/2
Determine l so that -99*l**4 - 402*l**3 - 420*l**2 - 24*l = 0.
-2, -2/33, 0
Factor -3*x**5 + 24*x**4 - 48*x**3 - 54*x**2 + 243*x - 162.
-3*(x - 3)**3*(x - 1)*(x + 2)
Find z, given that -2*z**3/11 + 652*z**2/11 - 118*z + 648/11 = 0.
1, 324
What is h in h**5/7 + 4*h**4 - h**3 - 3082*h**2/7 + 7068*h/7 + 25992/7 = 0?
-19, -2, 6
What is o in -o**3 + 2*o**2 + 5*o - 6 = 0?
-2, 1, 3
What is v in -v**5/9 + 7*v**4/9 + v**3 - 115*v**2/9 + 100*v/9 = 0?
-4, 0, 1, 5
Factor v**2/3 - 122*v/3 - 168.
(v - 126)*(v + 4)/3
Find t such that 10*t**5/7 - 34*t**4/7 + 12*t**3/7 + 40*t**2/7 - 16*t/7 = 0.
-1, 0, 2/5, 2
Factor 21*p**2/5 + 8*p - 4/5.
(p + 2)*(21*p - 2)/5
Find d, given that -4*d**4/17 - 6*d**3 - 144*d**2/17 + 2*d/17 + 48/17 = 0.
-24, -1, 1/2
Factor x**4 + x**3.
x**3*(x + 1)
What is q in -q**2/11 + 12*q/11 - 27/11 = 0?
3, 9
Factor 5*q**4 - 60*q**3.
5*q**3*(q - 12)
Fa