 + 945)
Factor 2*z**3 - 362*z**2 + 5408*z - 21120.
2*(z - 165)*(z - 8)**2
Factor -2*z**2/21 - 500*z/21.
-2*z*(z + 250)/21
Solve 4*x**2/19 + 526*x/19 + 780/19 = 0.
-130, -3/2
Factor 2432*o**3 + 2436*o**2 + 612*o + 1.
(2*o + 1)**2*(608*o + 1)
Factor 3*n**3 + 63*n**2 + 216*n + 204.
3*(n + 2)**2*(n + 17)
What is l in -5*l**3 + 690*l**2 - 31740*l + 486680 = 0?
46
Solve 576*o**4 + 1200*o**3 + 673*o**2 + 50*o + 1 = 0.
-1, -1/24
Determine r so that -3*r**4 + 42*r**3 - 60*r**2 - 168*r + 288 = 0.
-2, 2, 12
Determine v so that 4*v**4 + 40*v**3 - 5468*v**2 - 27840*v + 1937664 = 0.
-29, 24
Solve 6*r**4/5 + 45*r**3 - 1944*r**2/5 + 723*r - 270 = 0.
-45, 1/2, 2, 5
Solve 2*m**5 + 4*m**4 - 42*m**3 + 44*m**2 + 40*m - 48 = 0 for m.
-6, -1, 1, 2
Factor -3*h**4 + 18*h**3 + 36*h**2 - 114*h + 63.
-3*(h - 7)*(h - 1)**2*(h + 3)
Find w such that 19*w**5/6 + 7*w**4/2 - 169*w**3/6 + 191*w**2/6 - 9*w - 4/3 = 0.
-4, -2/19, 1
Let -g**4/5 + 41*g**3/5 - 492*g**2/5 + 1008*g/5 + 1728 = 0. What is g?
-3, 12, 20
Determine z, given that 5*z**3 + 145*z**2 + 360*z - 11340 = 0.
-18, 7
Factor -a**2 - 9*a/2 - 2.
-(a + 4)*(2*a + 1)/2
Solve -5*t**4/2 - 5*t**3/4 + 735*t**2/2 - 6125*t/4 - 1715/2 = 0.
-14, -1/2, 7
Factor 4*p**3 + 384*p**2 - 780*p + 392.
4*(p - 1)**2*(p + 98)
Solve -c**2/5 - 59*c/5 - 598/5 = 0 for c.
-46, -13
Let -3*d**5 - 57*d**4 - 105*d**3 - 51*d**2 = 0. What is d?
-17, -1, 0
Factor 3*z**5 + 47*z**4 - 178*z**3 + 222*z**2 - 113*z + 19.
(z - 1)**3*(z + 19)*(3*z - 1)
Find a, given that -4*a**5 + 668*a**4 + 676*a**3 - 668*a**2 - 672*a = 0.
-1, 0, 1, 168
Factor a**3 - 10*a**2 + 13*a + 24.
(a - 8)*(a - 3)*(a + 1)
Factor -t**2/9 - 92*t/9 + 188/9.
-(t - 2)*(t + 94)/9
Suppose -2*z**4/7 - 290*z**3/7 + 302*z**2/7 + 1466*z/7 + 876/7 = 0. Calculate z.
-146, -1, 3
Solve 2*v**3 + 580*v**2 + 1714*v - 2296 = 0.
-287, -4, 1
Let 4*x**2 - 768*x + 36864 = 0. Calculate x.
96
Let -3*h**2/7 + 558*h/7 + 243 = 0. Calculate h.
-3, 189
Factor 64*w**4 - 544*w**3 + 420*w**2 + 2156*w - 2744.
4*(w - 7)*(w + 2)*(4*w - 7)**2
Find q, given that -4*q**5/5 - 108*q**4/5 - 1016*q**3/5 - 4384*q**2/5 - 8832*q/5 - 6656/5 = 0.
-13, -4, -2
What is w in -w**2/6 - 83*w/6 - 27 = 0?
-81, -2
Solve 9*l**3 - 60*l**2 - 183*l + 234 = 0.
-3, 1, 26/3
Let 2*x**5 - 73*x**4/3 + 26*x**3 - 11*x**2/3 = 0. Calculate x.
0, 1/6, 1, 11
Factor n**2/4 - 101*n/4 - 78.
(n - 104)*(n + 3)/4
Find h such that 4*h**4 - 44*h**3 + 140*h**2 - 100*h = 0.
0, 1, 5
Determine b, given that 3*b**3/8 - 429*b**2/4 - 3*b/2 + 429 = 0.
-2, 2, 286
Let 3*i**4 + 1160*i**3 + 334072*i**2/3 - 450080*i/3 + 150544/3 = 0. Calculate i.
-194, 2/3
What is g in -5*g**5/3 + 260*g**4/3 + 5*g**3 - 770*g**2/3 - 520*g/3 = 0?
-1, 0, 2, 52
Determine o so that -4*o**3 + 8*o**2 = 0.
0, 2
Factor -4*h**2 - 140*h.
-4*h*(h + 35)
Factor 5*i**4 - 72*i**3 - 125*i**2 - 48*i.
i*(i - 16)*(i + 1)*(5*i + 3)
Factor 3*h**3 + 36*h**2 - 768.
3*(h - 4)*(h + 8)**2
Determine h, given that -6*h**4/5 - 57*h**3 + 744*h**2/5 - 60*h = 0.
-50, 0, 1/2, 2
Suppose -3*d**5 + 20*d**4 - 27*d**3 - 62*d**2 + 156*d - 72 = 0. Calculate d.
-2, 2/3, 2, 3
Suppose 2*w**2 - 298*w - 300 = 0. What is w?
-1, 150
Factor t**2/4 - 9*t/4 - 5/2.
(t - 10)*(t + 1)/4
Suppose -j**4/2 - 5*j**3/2 - 3*j**2/2 + 9*j/2 = 0. Calculate j.
-3, 0, 1
Suppose c**5 - 270*c**4 + 18491*c**3 - 35642*c**2 - 18492*c + 35912 = 0. Calculate c.
-1, 1, 2, 134
Solve -3*d**5 - 15*d**4 + 30*d**3 + 60*d**2 - 72*d = 0.
-6, -2, 0, 1, 2
Find o such that 2*o**5/3 + 30*o**4 + 1276*o**3/3 + 1704*o**2 - 2160*o = 0.
-18, -10, 0, 1
Factor 2*f**2/17 - 70*f/17 - 72/17.
2*(f - 36)*(f + 1)/17
Factor -3*k**3/5 + 78*k**2/5 - 417*k/5 + 342/5.
-3*(k - 19)*(k - 6)*(k - 1)/5
Solve -4*q**4 - 28*q**3 - 56*q**2 - 32*q = 0.
-4, -2, -1, 0
Factor 20*s**2/3 + 24*s - 32/3.
4*(s + 4)*(5*s - 2)/3
Factor -3*l**2/5 - 39*l/5 - 18.
-3*(l + 3)*(l + 10)/5
Let -2*y**2 + 26*y - 44 = 0. Calculate y.
2, 11
Factor 4*u**2/9 + 764*u/3.
4*u*(u + 573)/9
Find o such that 32*o**5/13 - 80*o**4/13 - 46*o**3/13 + 176*o**2/13 + 10*o/13 - 100/13 = 0.
-1, 5/4, 2
Suppose 25*x**5/6 + 65*x**4/3 + 125*x**3/3 + 110*x**2/3 + 85*x/6 + 5/3 = 0. Calculate x.
-2, -1, -1/5
Factor -i**4 + 25*i**3 - 166*i**2 + 96*i + 288.
-(i - 12)**2*(i - 2)*(i + 1)
Find w, given that w**4 - 9*w**3 - 147*w**2 - 263*w - 126 = 0.
-7, -1, 18
Let x**4/5 + 6*x**3/5 + 4*x**2/5 - 6*x/5 - 1 = 0. Calculate x.
-5, -1, 1
Factor 3*d**2 - 9*d - 12.
3*(d - 4)*(d + 1)
Factor -2*s**4 + 20*s**3 - 48*s**2 + 44*s - 14.
-2*(s - 7)*(s - 1)**3
Solve -5*j**3 - 70*j**2 - 265*j - 200 = 0.
-8, -5, -1
Solve -93*q**2/2 + 36*q + 114 = 0.
-38/31, 2
Determine s, given that -9*s**4/4 - 39*s**3/4 + 21*s**2 - 9*s = 0.
-6, 0, 2/3, 1
Factor -3*l**2 + 81*l - 216.
-3*(l - 24)*(l - 3)
Solve -2*y**2/9 - 100*y/9 + 34/3 = 0 for y.
-51, 1
Factor -3*v**2 + 8379*v + 8382.
-3*(v - 2794)*(v + 1)
Let 18*u**5 - 21*u**4 - 405*u**3 - 645*u**2 - 333*u - 54 = 0. Calculate u.
-3, -1, -1/2, -1/3, 6
Suppose 36*z**5 + 444*z**4 + 1756*z**3 + 2244*z**2 + 240*z - 400 = 0. Calculate z.
-5, -2, -2/3, 1/3
Let -5*p**5 - 105*p**4 - 360*p**3 + 2140*p**2 - 480*p - 2880 = 0. What is p?
-12, -1, 2
Factor -5*q**4 - 180*q**3 - 510*q**2 - 500*q - 165.
-5*(q + 1)**3*(q + 33)
Factor -5*l**2 + 110*l + 375.
-5*(l - 25)*(l + 3)
Factor 3*c**4 + 21*c**3 + 33*c**2 + 15*c.
3*c*(c + 1)**2*(c + 5)
Suppose 2*q**3/3 + 34*q**2/3 + 20*q/3 - 64 = 0. What is q?
-16, -3, 2
Factor -2*x**3/3 + 469*x**2/6 - 39*x/2.
-x*(x - 117)*(4*x - 1)/6
Suppose 44*r**2 - 36*r - 8 = 0. Calculate r.
-2/11, 1
Find d such that 3*d**2/2 + 263*d/6 + 29/3 = 0.
-29, -2/9
Find d, given that -2*d**5/3 - 2*d**4/3 + 4*d**3 = 0.
-3, 0, 2
Find q, given that -47*q**3/6 - 15*q**2/2 + q/3 = 0.
-1, 0, 2/47
Factor 5*o**5 - 10*o**4 - 30*o**3 + 20*o**2 + 65*o + 30.
5*(o - 3)*(o - 2)*(o + 1)**3
Factor -2*f**2/7 - 32*f/7 - 8.
-2*(f + 2)*(f + 14)/7
Let -3*j**3 + 6786*j**2 - 5116644*j + 1285983192 = 0. Calculate j.
754
Factor -4*n**3 + 3696*n**2 + 4*n - 3696.
-4*(n - 924)*(n - 1)*(n + 1)
Suppose 4*j**4 - 20*j**3 - 56*j**2 = 0. What is j?
-2, 0, 7
Factor -2*u**4 - 8*u**3 + 54*u**2 - 76*u + 32.
-2*(u - 2)*(u - 1)**2*(u + 8)
Solve -2*w**3 + 5702*w**2 + 11410*w + 5706 = 0 for w.
-1, 2853
Factor -20*k**2/3 + 60328*k/3 - 24128/3.
-4*(k - 3016)*(5*k - 2)/3
Factor 4*i**3 - 16*i**2 + 4*i + 24.
4*(i - 3)*(i - 2)*(i + 1)
Factor 4*c**4 - 32*c**3 + 32*c**2 + 128*c - 192.
4*(c - 6)*(c - 2)**2*(c + 2)
What is n in -6*n**3/23 + 2*n**2/23 + 8*n/23 = 0?
-1, 0, 4/3
Factor -5*k**2 - 450*k - 880.
-5*(k + 2)*(k + 88)
Solve -5*u**2/3 + 50*u/3 + 1495/3 = 0.
-13, 23
Solve 8*p**4/5 - 166*p**3/5 - 616*p**2/5 - 216*p/5 + 576/5 = 0.
-2, 3/4, 24
Factor 5*w**2 + 25*w - 120.
5*(w - 3)*(w + 8)
Factor -2*u**2/13 + 42*u/13 - 40/13.
-2*(u - 20)*(u - 1)/13
Suppose -3*n**5/2 + 3207*n**4/2 + 9645*n**3/2 + 3225*n**2/2 - 4821*n - 3216 = 0. What is n?
-2, -1, 1, 1072
Factor 405*t**4 + 2610*t**3 + 4340*t**2 + 1560*t + 160.
5*(t + 2)*(t + 4)*(9*t + 2)**2
Factor 4*a**4 + 20*a**3 - 32*a**2 - 48*a.
4*a*(a - 2)*(a + 1)*(a + 6)
Suppose 3*t**2 - 66*t + 363 = 0. Calculate t.
11
Find l such that -11*l**5 - 46*l**4 + 113*l**3 - 44*l**2 - 12*l = 0.
-6, -2/11, 0, 1
Factor u**3 - 23*u**2.
u**2*(u - 23)
Factor 3*n**3 - 2568*n**2 - 10308*n - 10320.
3*(n - 860)*(n + 2)**2
Factor 2*l**2 + 30*l + 52.
2*(l + 2)*(l + 13)
Solve -2*a**3/13 - 50*a**2/13 - 136*a/13 - 88/13 = 0 for a.
-22, -2, -1
Factor -y**4 - 4*y**3 - 5*y**2 - 2*y.
-y*(y + 1)**2*(y + 2)
What is d in -d**3/4 - 171*d**2/4 + 1053*d/4 - 1593/4 = 0?
-177, 3
Factor 2*v**5/9 - 9338*v**4/9 + 3634816*v**3/3 - 1210568*v**2.
2*v**2*(v - 2334)**2*(v - 1)/9
Factor 2*k**2/7 + 116*k/7 + 1520/7.
2*(k + 20)*(k + 38)/7
Factor -3*x**2 - 54*x - 96.
-3*(x + 2)*(x + 16)
Suppose 15*i**4 - 65*i**3 - 145*i**2 - 35*i + 30 = 0. Calculate i.
-1, 1/3, 6
Find o, given that -3*o**2 - 36582*o - 111520227 = 0.
-6097
Factor -3*y**2 - 33*y + 36.
-3*(y - 1)*(y + 12)
Find w such that 5*w**4 - 5*w**3 - 15*w**2 + 5*w + 10 = 0.
-1, 1, 2
Find m, given that 4*m**5/7 - 16*m**4/7 - 552*m**3/7 + 1136*m**2/7 - 572*m/7 = 0.
-11, 0, 1, 13
Factor r**5/5 - 6*r**4/5 + 4*r**3/5 + 24*r**2/5 - 32*r/5.
r*(r - 4)*(r - 2)**2*(r + 2)/5
Factor -x**2/3 + 461*x/3 - 1828/3.
-(x - 457)*(x - 4)/3
Factor x**3/10 + 3*x**2/5 - 7*x/10.
x*(x - 1)*(x + 7)/10
Factor -3*r**3 - 69*r**2 - 168*r + 2940.
-3*(r - 5)*(r + 14)**2
Solve -