166*m**3 + 4896*m**2 + 61952*m + 286720.
2*(m + 16)**3*(m + 35)
Factor -4*h**3 + 308*h**2 - 2272*h + 4416.
-4*(h - 69)*(h - 4)**2
Factor i**2/9 + 1912*i/3 + 5735/9.
(i + 1)*(i + 5735)/9
Factor 2*d**2 + 6*d + 4.
2*(d + 1)*(d + 2)
Determine i so that -6*i**5/7 - 4*i**4/7 = 0.
-2/3, 0
Factor z**2/3 + 2*z + 3.
(z + 3)**2/3
Factor -i**3/8 + 127*i**2/8 - 2795*i/8 + 17069/8.
-(i - 101)*(i - 13)**2/8
What is i in -2*i**4/13 - 48*i**3/13 - 36*i**2/13 + 448*i + 2574 = 0?
-13, -9, 11
Find x such that 44*x**4 - 212*x**3 + 268*x**2 - 76*x - 24 = 0.
-2/11, 1, 3
Factor p**3/3 + 5*p**2/3 - 13*p/3 + 7/3.
(p - 1)**2*(p + 7)/3
Solve -50*o**2 - 45*o + 5 = 0.
-1, 1/10
Suppose -4*v**5 - 26*v**4/3 + 32*v**3/3 + 2*v**2 = 0. What is v?
-3, -1/6, 0, 1
Factor -4*d**2 + 44*d - 120.
-4*(d - 6)*(d - 5)
Factor -5*y**3 - 275*y**2 - 515*y + 795.
-5*(y - 1)*(y + 3)*(y + 53)
Suppose -2*t**2/5 - 6*t - 72/5 = 0. What is t?
-12, -3
Factor 3*g**2 - 753*g.
3*g*(g - 251)
Factor 5*l**2 + 701*l + 140.
(l + 140)*(5*l + 1)
Determine n so that 2*n**3/5 + 36*n**2/5 + 94*n/5 - 132 = 0.
-11, -10, 3
Factor -2*d**2/11 + 4090*d/11 + 8188/11.
-2*(d - 2047)*(d + 2)/11
Suppose -j**5 - 2*j**4 + 3*j**3 + 4*j**2 - 4*j = 0. What is j?
-2, 0, 1
Determine g so that -4*g**4 + 208*g**3 = 0.
0, 52
Determine o so that -20*o**2 + 148*o - 240 = 0.
12/5, 5
Find a such that 180*a**3 - 60*a**2 - 595*a + 490 = 0.
-2, 7/6
Suppose c**5/4 + 17*c**4/4 + 103*c**3/4 + 267*c**2/4 + 72*c + 27 = 0. Calculate c.
-6, -3, -1
Solve 2*q**5 + 34*q**4 + 176*q**3 + 400*q**2 + 416*q + 160 = 0 for q.
-10, -2, -1
Factor -81*p**3 + 23490*p**2 - 2270700*p + 73167000.
-3*(3*p - 290)**3
Solve 234*c**2/11 - 2806*c/11 - 24/11 = 0.
-1/117, 12
Suppose -x**3/2 + 193*x**2/2 + 98*x - 194 = 0. Calculate x.
-2, 1, 194
Factor 2*g**2/15 + 16*g/15.
2*g*(g + 8)/15
Factor 3*f**5 + 27*f**4 + 42*f**3.
3*f**3*(f + 2)*(f + 7)
What is x in x**2/5 + 3013*x/5 + 3012/5 = 0?
-3012, -1
Factor -5*s**2 - 90*s - 85.
-5*(s + 1)*(s + 17)
Determine v, given that 11*v**2/3 + 43*v/3 - 18 = 0.
-54/11, 1
Find r such that 9*r**5/8 - 129*r**4/8 + 67*r**3/2 - 49*r**2/2 + 6*r = 0.
0, 2/3, 1, 12
Let 4*w**3 - 5776*w = 0. Calculate w.
-38, 0, 38
Factor z**2/9 - 2359*z/9 - 2360/9.
(z - 2360)*(z + 1)/9
Suppose k**2/4 - 159*k/8 - 243/8 = 0. What is k?
-3/2, 81
Factor -3*g**3 + 27*g**2 + 75*g - 99.
-3*(g - 11)*(g - 1)*(g + 3)
Find a such that -a**2/2 + 24*a + 104 = 0.
-4, 52
Factor 2*y**2 - 424*y + 22472.
2*(y - 106)**2
Solve -3*j**5/8 + 99*j**4/8 - 765*j**3/8 - 867*j**2/8 = 0 for j.
-1, 0, 17
Factor -2*k**4/15 - 392*k**3/15 - 6532*k**2/5 - 38024*k/15 - 18818/15.
-2*(k + 1)**2*(k + 97)**2/15
Factor 4*k**2 + 256*k + 3900.
4*(k + 25)*(k + 39)
Solve -2*s**5 - 188*s**4 - 4412*s**3 + 568*s**2 + 13630*s + 8836 = 0 for s.
-47, -1, 2
Find z such that 2*z**5/21 + 2*z**4/7 - 2*z**3/21 - 2*z**2/3 + 8/21 = 0.
-2, -1, 1
Solve 5*y**2 - 35375*y/4 - 8845/4 = 0.
-1/4, 1769
Suppose -5*s**5 + 1240*s**4 - 2460*s**3 = 0. What is s?
0, 2, 246
Factor -3*f**4/5 + 222*f**3/5 - 219*f**2/5.
-3*f**2*(f - 73)*(f - 1)/5
Factor 4*b**4/5 - 28*b**3/5 + 56*b**2/5 - 32*b/5.
4*b*(b - 4)*(b - 2)*(b - 1)/5
Solve -6*o**2 - 224*o - 74 = 0 for o.
-37, -1/3
Factor 4*t**3/7 - 81*t**2/7 + 377*t/7 + 330/7.
(t - 11)*(t - 10)*(4*t + 3)/7
Factor b**4/4 + 385*b**3/2 + 148993*b**2/4 + 73920*b + 36864.
(b + 1)**2*(b + 384)**2/4
Find p, given that -60*p**4/7 - 26*p**3 + 82*p**2/7 + 20*p - 64/7 = 0.
-16/5, -1, 1/2, 2/3
Find i such that -28*i**4/5 - 76*i**3/5 - 32*i**2/5 + 16*i/5 = 0.
-2, -1, 0, 2/7
Determine k, given that k**2/7 - 423*k = 0.
0, 2961
Factor 3*n**4/2 - 15*n**3 + 18*n**2 + 60*n - 96.
3*(n - 8)*(n - 2)**2*(n + 2)/2
Factor 4*q**3 - 20*q**2 - 192*q + 432.
4*(q - 9)*(q - 2)*(q + 6)
Factor -15447*f**2 + 6*f.
-3*f*(5149*f - 2)
Factor 4*r**3 + 64*r**2 + 336*r + 576.
4*(r + 4)*(r + 6)**2
Let 3*q**2/2 + 45*q - 93/2 = 0. Calculate q.
-31, 1
Factor 2*w**4/3 + 96*w**3 - 194*w**2 + 292*w/3.
2*w*(w - 1)**2*(w + 146)/3
Factor z**2/2 - 56*z - 113/2.
(z - 113)*(z + 1)/2
Suppose 2*q**5/5 + 4*q**4 + 66*q**3/5 + 72*q**2/5 = 0. Calculate q.
-4, -3, 0
Solve -k**4 + 72*k**3 - 1218*k**2 + 7840*k - 17493 = 0.
7, 51
Solve -4*p**5/7 + 75*p**4/7 - 237*p**3/7 + 176*p**2/7 + 60*p/7 = 0 for p.
-1/4, 0, 2, 15
Factor 5*a**4 + 40*a**3 - 45*a**2.
5*a**2*(a - 1)*(a + 9)
Factor 2*h**4 + 32*h**3 - 6*h**2 - 92*h + 64.
2*(h - 1)**2*(h + 2)*(h + 16)
Solve -2*p**4/13 - 4*p**3/13 + 6238*p**2/13 + 480*p - 374400 = 0.
-40, 39
Let -2*x**5 + 6*x**4 + 2*x**3 - 14*x**2 + 8 = 0. Calculate x.
-1, 1, 2
Suppose o**5 + 4*o**4 + o**3 - 14*o**2 - 20*o - 8 = 0. Calculate o.
-2, -1, 2
Find k such that k**4 - 198*k**3 - 804*k**2 - 808*k = 0.
-2, 0, 202
Factor 7*a**5/3 - 26*a**4/3 - 8*a**3/3 + 112*a**2/3 - 80*a/3 - 32/3.
(a - 2)**3*(a + 2)*(7*a + 2)/3
Let -4*o**4 + 258*o**3 + 1514*o**2 + 1812*o + 560 = 0. Calculate o.
-4, -1, -1/2, 70
Factor -3*z**3/2 + 171*z**2/2 - 774*z + 690.
-3*(z - 46)*(z - 10)*(z - 1)/2
Factor 2*k**3 - 50*k**2 - 108*k.
2*k*(k - 27)*(k + 2)
Factor u**4 + 26*u**3 - 169*u**2 - 434*u.
u*(u - 7)*(u + 2)*(u + 31)
Find z such that 4*z**3 - 112*z**2 + 660*z + 1800 = 0.
-2, 15
Factor w**2/3 + 5152*w/3 + 1717.
(w + 1)*(w + 5151)/3
Solve 8*f**4/3 + 34*f**3/3 + 40*f**2/3 + 8*f/3 = 0.
-2, -1/4, 0
Factor -c**2/3 - 178*c - 23763.
-(c + 267)**2/3
Solve 3*m**5 - 27*m**4 - 102*m**3 - 72*m**2 = 0 for m.
-2, -1, 0, 12
Let -45*p**2/2 - 3270*p - 118810 = 0. What is p?
-218/3
Factor 2*d**4/5 - 4*d**3/5 - 38*d**2/5 + 8*d.
2*d*(d - 5)*(d - 1)*(d + 4)/5
Factor -m**3 - m**2.
-m**2*(m + 1)
Factor 2*t**3/7 + 1026*t**2/7 - 2*t/7 - 1026/7.
2*(t - 1)*(t + 1)*(t + 513)/7
Find f such that -3*f**2 - 9*f - 6 = 0.
-2, -1
Factor 3*r**4/4 - 21*r**2/4 - 9*r/2.
3*r*(r - 3)*(r + 1)*(r + 2)/4
Factor -20*g**2 + 224*g - 240.
-4*(g - 10)*(5*g - 6)
Find s such that -100*s**5 - 4080*s**4 + 13804*s**3 - 12072*s**2 + 3168*s = 0.
-44, 0, 3/5, 2
Determine d so that 40*d**5/3 + 595*d**4/3 + 1085*d**3/3 - 8425*d**2/3 + 2505*d - 270 = 0.
-9, 1/8, 1, 2
Factor -s**4 + 5*s**3.
-s**3*(s - 5)
Factor 6*n**3 + 57*n**2 - 156*n - 207.
3*(n - 3)*(n + 1)*(2*n + 23)
Factor 4*z**4 + 328*z**3 + 644*z**2 + 320*z.
4*z*(z + 1)**2*(z + 80)
Factor 4*z**3 + 36*z**2 - 144*z.
4*z*(z - 3)*(z + 12)
Factor -3*r**2/4 - 12*r - 45/4.
-3*(r + 1)*(r + 15)/4
Let 4*q**4 - 2800*q**3 + 5588*q**2 - 2792*q = 0. Calculate q.
0, 1, 698
Suppose 18*q**2/7 + 50*q/7 = 0. Calculate q.
-25/9, 0
Solve 5*n**2 - 9250*n + 4278125 = 0 for n.
925
Determine k so that 2*k**5 + 442*k**4 + 438*k**3 - 442*k**2 - 440*k = 0.
-220, -1, 0, 1
Suppose 4*h**5 - 40*h**4 + 32*h**3 + 40*h**2 - 36*h = 0. Calculate h.
-1, 0, 1, 9
Factor 3*f**4 + 27*f**3 + 66*f**2 - 96.
3*(f - 1)*(f + 2)*(f + 4)**2
Solve -2*j**3/5 + 4*j**2 + 46*j/5 + 24/5 = 0 for j.
-1, 12
What is a in -2*a**4/5 - 12*a**3/5 - 22*a**2/5 - 12*a/5 = 0?
-3, -2, -1, 0
Factor -a**3/6 - a**2/2 + 8*a/3 - 2.
-(a - 2)*(a - 1)*(a + 6)/6
Determine l, given that -3*l**5 - 18*l**4 + 105*l**3 + 540*l**2 + 708*l + 288 = 0.
-8, -2, -1, 6
Factor 2*v**4 + 26*v**3 + 92*v**2 + 96*v.
2*v*(v + 2)*(v + 3)*(v + 8)
Factor 2*t**4/5 + 54*t**3/5 - 528*t**2/5 + 224*t.
2*t*(t - 4)**2*(t + 35)/5
Factor -4*k**4 + 4*k**3 + 64*k**2 + 80*k.
-4*k*(k - 5)*(k + 2)**2
Factor 2*n**2/3 + 1828*n/3 + 417698/3.
2*(n + 457)**2/3
Solve 2*y**2 + 52*y - 112 = 0.
-28, 2
Factor 2*c**4/7 - 24*c**3/7 + 22*c**2/7.
2*c**2*(c - 11)*(c - 1)/7
Solve -162*m**3/7 - 3312*m**2/7 - 1448*m/7 - 160/7 = 0.
-20, -2/9
Solve 15*l**5 + 80*l**4 + 160*l**3 + 150*l**2 + 65*l + 10 = 0.
-2, -1, -1/3
Factor -574*h**2 - 1721*h/3 + 1/3.
-(h + 1)*(1722*h - 1)/3
Determine h so that -4*h**3/5 + 17*h**2/5 - 16*h/5 + 3/5 = 0.
1/4, 1, 3
Factor 4*q**4 - 72*q**3 - 92*q**2 + 3744*q + 10816.
4*(q - 13)**2*(q + 4)**2
Factor -9*p**3 - 399*p**2 - 504*p + 516.
-3*(p + 2)*(p + 43)*(3*p - 2)
Find g such that 15*g**5 - 245*g**4 + 70*g**3 + 160*g**2 = 0.
-2/3, 0, 1, 16
Factor 2*d**3 - 2*d**2 - 4*d.
2*d*(d - 2)*(d + 1)
Solve 16*o**5 - 176*o**4 - 668*o**3 - 104*o**2 + 688*o - 224 = 0 for o.
-2, 1/2, 14
Factor -u**3/3 - 46*u**2/3 - 89*u/3 - 44/3.
-(u + 1)**2*(u + 44)/3
Factor 4*g**3 + 40*g**2 - 92*g + 48.
4*(g - 1)**2*(g + 12)
What is s in 2*s**4 - 6*s**3 - 46*s**2 - 66*s - 28 = 0?
-2, -1, 7
Determine q so that -q**3 - 58*q**2 - 113*q - 56 = 0.
-56, -1
Suppose -54*j**4 + 702*j**3 + 738*j**2 + 250*j + 