
Factor 4*m**5 - 112*m**4 + 784*m**3.
4*m**3*(m - 14)**2
Let -2*l**5 + 46*l**4 - 174*l**3 - 198*l**2 + 1728*l - 1944 = 0. Calculate l.
-3, 2, 3, 18
Solve 3*x**3 + 39*x**2 - 3*x - 39 = 0 for x.
-13, -1, 1
Solve 3*z**2 + 2*z - 56 = 0 for z.
-14/3, 4
Factor -2*q**3/17 - 8*q**2/17 + 24*q/17.
-2*q*(q - 2)*(q + 6)/17
Determine w, given that 11*w**4/9 - 65*w**3/9 + 31*w**2/3 - 35*w/9 - 4/9 = 0.
-1/11, 1, 4
Solve -2*k**5/7 - 19*k**4/7 - 37*k**3/7 - 2*k**2 = 0.
-7, -2, -1/2, 0
Factor -6*v**5/7 - 8*v**4/7 - 2*v**3/7.
-2*v**3*(v + 1)*(3*v + 1)/7
Factor r**4/6 - 17*r**3/2 - 375*r**2/2 - 2093*r/6 - 170.
(r - 68)*(r + 1)**2*(r + 15)/6
Factor -8*c**3/7 + 2*c**2 + 4*c + 6/7.
-2*(c - 3)*(c + 1)*(4*c + 1)/7
Solve -3*u**5/5 - 9*u**4 - 186*u**3/5 - 144*u**2/5 = 0.
-8, -6, -1, 0
Let -2*t**3/5 + 34*t**2/5 + 36*t/5 = 0. Calculate t.
-1, 0, 18
Find l such that l**4 - 944*l**3 + 223726*l**2 - 444624*l + 221841 = 0.
1, 471
Factor l**3/4 + 7*l**2/4 - 9*l/2.
l*(l - 2)*(l + 9)/4
What is g in 2*g**5/3 - 38*g**4/3 + 34*g**3/3 + 38*g**2/3 - 12*g = 0?
-1, 0, 1, 18
Factor 3*q**2/7 + 12*q/7.
3*q*(q + 4)/7
Let 2*j**2 + 184*j + 4232 = 0. Calculate j.
-46
Solve 8*n**3 + 2212*n**2 - 1112*n - 1108 = 0 for n.
-277, -1/2, 1
Let 2*f**2/19 - 2320*f/19 - 4648/19 = 0. What is f?
-2, 1162
Determine s, given that -3*s**4/5 - 6*s**3/5 + 12*s**2/5 + 24*s/5 = 0.
-2, 0, 2
Suppose 5*v**2 + 1055*v - 1060 = 0. What is v?
-212, 1
What is i in 2*i**4/11 - 20*i**3/11 - 168*i**2/11 + 1360*i/11 + 3200/11 = 0?
-8, -2, 10
Factor d**4/5 + 69*d**3/5 + 270*d**2 + 5504*d/5 + 6144/5.
(d + 2)*(d + 3)*(d + 32)**2/5
Let 88*z**5/7 - 40*z**4 + 334*z**3/7 - 184*z**2/7 + 46*z/7 - 4/7 = 0. Calculate z.
2/11, 1/2, 1
Factor -38*k**3/7 - 80*k**2/7 - 46*k/7 - 4/7.
-2*(k + 1)**2*(19*k + 2)/7
Let -2*a**3 + 308*a**2 - 2930*a + 7200 = 0. Calculate a.
5, 144
Factor -2*i**3/9 - 4*i**2 - 160*i/9.
-2*i*(i + 8)*(i + 10)/9
Find m such that -m**3 - 52*m**2 - 195*m - 144 = 0.
-48, -3, -1
Let 87*u**5/4 - 255*u**4/4 - 9*u**3/2 + 87*u**2 + 6*u = 0. What is u?
-1, -2/29, 0, 2
Suppose -h**5/9 + h**4/3 + 14*h**3/9 - 4*h**2/3 - 40*h/9 = 0. Calculate h.
-2, 0, 2, 5
Let 2*m**5 + 2*m**4 - 12*m**3 + 4*m**2 + 10*m - 6 = 0. What is m?
-3, -1, 1
Suppose 2*m**4/5 + 42*m**3/5 + 48*m**2 + 40*m = 0. What is m?
-10, -1, 0
Solve -2*o**2/9 + 148*o/9 - 2738/9 = 0.
37
Find b such that -5*b**2 - 2930*b - 2925 = 0.
-585, -1
Suppose -2*c**3 - 8*c**2 - 6*c = 0. Calculate c.
-3, -1, 0
Let 11907*h**4 - 756*h**3 + 12*h**2 = 0. What is h?
0, 2/63
Suppose 800*s**2 - 560*s/3 + 98/9 = 0. What is s?
7/60
Factor -m**4 + 9*m**3 + 26*m**2 - 180*m + 200.
-(m - 10)*(m - 2)**2*(m + 5)
What is w in -4*w**2/5 + 4*w + 24/5 = 0?
-1, 6
Factor -3*q**3 - 75*q**2 - 336*q + 1764.
-3*(q - 3)*(q + 14)**2
Factor -2*v**5 + 1506*v**4 - 380970*v**3 + 33108534*v**2 - 185258988*v.
-2*v*(v - 249)**3*(v - 6)
Factor 4*o**4 + 204*o**3 - 636*o**2 + 644*o - 216.
4*(o - 1)**3*(o + 54)
Factor -v**3 + 12*v**2 + 27*v + 14.
-(v - 14)*(v + 1)**2
Determine l, given that 3*l**2 - 4356*l + 1581228 = 0.
726
Solve -7*t**5/2 - 89*t**4/2 - 29*t**3 + 12*t**2 = 0.
-12, -1, 0, 2/7
Solve -20*h**4 + 632*h**3 - 944*h**2 - 480*h = 0 for h.
-2/5, 0, 2, 30
Find v, given that 4*v**2 + 80*v + 300 = 0.
-15, -5
Factor 3*x**3/5 - 2706*x**2/5 + 610203*x/5.
3*x*(x - 451)**2/5
Factor 24*v**3 - 483*v**2 + 2460*v - 300.
3*(v - 10)**2*(8*v - 1)
Suppose -4*u**5 - 16*u**4 - 4*u**3 + 56*u**2 + 80*u + 32 = 0. Calculate u.
-2, -1, 2
Solve s**3/5 + 3*s**2/5 - 5*s + 21/5 = 0 for s.
-7, 1, 3
Determine t so that -10*t**3 - 315*t**2 + 165*t + 160 = 0.
-32, -1/2, 1
Suppose -2*f**3 + 70*f**2 - 548*f + 480 = 0. What is f?
1, 10, 24
Find w such that -2*w**5/5 + 56*w**4/5 - 98*w**3 + 1396*w**2/5 - 1536*w/5 + 576/5 = 0.
1, 2, 12
Let 2*r**5/3 - 562*r**4/3 + 33116*r**3/3 + 897604*r**2/3 + 4587682*r/3 - 5517842/3 = 0. Calculate r.
-11, 1, 151
Suppose -2*o**2 + 200*o - 5000 = 0. What is o?
50
Factor -q**5 + 6*q**4 + 8*q**3 - 6*q**2 - 7*q.
-q*(q - 7)*(q - 1)*(q + 1)**2
What is a in -5*a**3/4 + 205*a**2/2 - 8405*a/4 = 0?
0, 41
Suppose -249*f**3 - 7716*f**2 - 7377*f + 90 = 0. Calculate f.
-30, -1, 1/83
Find v such that 27*v**3/2 - 225*v**2 - 318*v - 108 = 0.
-2/3, 18
Factor -4*n**2 - 36*n - 32.
-4*(n + 1)*(n + 8)
Determine u so that -u**3/2 - 49*u**2/2 - 21*u + 144 = 0.
-48, -3, 2
Let -f**3 + 434*f**2 - 1724*f + 1720 = 0. Calculate f.
2, 430
Let -14*r**3/13 - 200*r**2/13 - 56*r/13 = 0. Calculate r.
-14, -2/7, 0
Factor b**4 + 13*b**3 - 14*b**2.
b**2*(b - 1)*(b + 14)
Factor -37*a**3/5 + 59*a**2 - 584*a/5 - 16/5.
-(a - 4)**2*(37*a + 1)/5
Factor -3*s**2/7 - 468*s/7 - 132.
-3*(s + 2)*(s + 154)/7
Solve -12*r**5 - 56*r**4 + 11*r**3/3 + 191*r**2 + 210*r + 200/3 = 0.
-4, -1, -5/6, 2
Let -2*n**4/3 - 26*n**3/3 + 104*n**2/3 + 104*n/3 - 128 = 0. Calculate n.
-16, -2, 2, 3
Factor -4*m**4 - 80*m**3 - 528*m**2 - 1280*m - 1024.
-4*(m + 2)**2*(m + 8)**2
Let -2*n**2 + 9516*n - 11319282 = 0. What is n?
2379
Factor 4*w**4 - 24*w**3 + 16*w**2 + 24*w - 20.
4*(w - 5)*(w - 1)**2*(w + 1)
Factor 2*s**2/7 - 166*s/7 + 1332/7.
2*(s - 74)*(s - 9)/7
Suppose 4*p**5 - 108*p**4 + 380*p**3 - 276*p**2 = 0. What is p?
0, 1, 3, 23
Determine d, given that 3*d**4 - 3*d**3 - 3*d**2 + 3*d = 0.
-1, 0, 1
Determine m, given that 10*m**5/3 - 18*m**4/5 + 4*m**3/15 = 0.
0, 2/25, 1
Suppose 3*d**2 + 402*d + 13467 = 0. Calculate d.
-67
Factor -2136750625*r**4/3 + 79507000*r**3/3 - 369800*r**2 + 6880*r/3 - 16/3.
-(215*r - 2)**4/3
Find f such that 4*f**2/3 + 8*f/3 - 4 = 0.
-3, 1
Solve -2*i**2/9 - 1544*i/9 - 297992/9 = 0.
-386
Let -4*r**2 + 148*r = 0. Calculate r.
0, 37
Factor 2*v**5/15 - 2056*v**4/15 + 528392*v**3/15.
2*v**3*(v - 514)**2/15
Factor 2*g**2/11 - 2*g/11 - 12/11.
2*(g - 3)*(g + 2)/11
Let -4*m**2 + 1952*m - 238144 = 0. What is m?
244
Factor -35*b**3 - 45*b**2 + 155*b - 75.
-5*(b - 1)*(b + 3)*(7*b - 5)
Suppose -4*x**2 + 3128*x + 9420 = 0. What is x?
-3, 785
Factor 3*j**4 - 44*j**3 + 127*j**2 - 66*j.
j*(j - 11)*(j - 3)*(3*j - 2)
Let d**4/9 - 4*d**3/9 - 4*d**2/3 = 0. What is d?
-2, 0, 6
Let -2*u**5/3 + 8*u**4/3 - 8*u**3/3 = 0. What is u?
0, 2
Let 612*d**5 - 7212*d**4 + 16412*d**3 - 9924*d**2 + 2176*d - 144 = 0. Calculate d.
2/17, 1/3, 2, 9
Factor -f**5 + 23*f**4 - 81*f**3 + 97*f**2 - 38*f.
-f*(f - 19)*(f - 2)*(f - 1)**2
Suppose -2*c**4/7 - 6*c**3/7 + 12*c**2 + 344*c/7 + 48 = 0. Calculate c.
-6, -2, 7
Solve 105*y**3 + 430*y**2 - 485*y - 50 = 0 for y.
-5, -2/21, 1
Find h, given that -2*h**2/5 - 42*h/5 + 92/5 = 0.
-23, 2
Let -i**4 + 2*i**3 - i**2 = 0. What is i?
0, 1
What is l in -5*l**2 + 15*l + 20 = 0?
-1, 4
What is f in -2*f**2/15 - 202*f/15 - 2288/15 = 0?
-88, -13
Find y such that -2*y**3/3 + 2476*y**2/3 - 256264*y + 509232 = 0.
2, 618
Factor -35*u**3 + 275*u**2 - 160*u - 1700.
-5*(u - 5)*(u + 2)*(7*u - 34)
Let -5*p**5/4 - 54*p**4 - 1153*p**3/4 - 111*p**2/2 = 0. Calculate p.
-37, -6, -1/5, 0
Solve 2*b**4 - 2216*b**3 + 920748*b**2 - 170031464*b + 11774678882 = 0.
277
Determine x so that -2*x**2/5 - 28*x - 490 = 0.
-35
Factor 2*b**2/5 + 2*b/5 - 24/5.
2*(b - 3)*(b + 4)/5
Find r, given that r**5/11 - 20*r**4/11 - 47*r**3/11 + 62*r**2/11 + 92*r/11 - 8 = 0.
-2, 1, 22
Factor r**3 + 41*r**2 + 79*r + 39.
(r + 1)**2*(r + 39)
Factor 3*d**3 + 441*d**2 + 21609*d + 352947.
3*(d + 49)**3
Solve -4*z**2 - 1072*z - 8320 = 0.
-260, -8
Factor z**3/3 + z**2 + z + 1/3.
(z + 1)**3/3
Let -3*u**5/2 + 822*u**4 - 111789*u**3 - 226050*u**2 - 226875*u/2 = 0. Calculate u.
-1, 0, 275
Factor -p**4 + 4*p**3 + 5*p**2.
-p**2*(p - 5)*(p + 1)
Factor 162*w**5 + 360*w**4 - 484*w**3 - 760*w**2 + 722*w.
2*w*(w - 1)**2*(9*w + 19)**2
Determine f, given that -4*f**4/3 + 4*f**3/3 + 16*f**2/3 - 16*f/3 = 0.
-2, 0, 1, 2
Let -17*q**5 + 151*q**4 - 458*q**3 + 556*q**2 - 200*q - 32 = 0. Calculate q.
-2/17, 1, 2, 4
Solve 4*d**3 - 1384*d**2 + 123760*d - 693600 = 0 for d.
6, 170
Factor u**2/6 - 175*u/3 + 30625/6.
(u - 175)**2/6
Factor -x**3/2 + 375*x**2/2 - 46875*x/2 + 1953125/2.
-(x - 125)**3/2
Factor -3*q**2 + 3168*q + 3171.
-3*(q - 1057)*(q + 1)
Suppose 2*w**3/11 + 350*w**2/11 - 32*w = 0. Calculate w.
-176, 0, 1
Suppose -2*p**2/7 + 80*p/7 - 96 = 0. What is p?
12, 28
Suppose -4*k**4/13 + 186*k**3/13 + 694*k**2/13 + 300*k/13 = 0. What is k?
-3, -1/2, 0, 50
Find d such that -2*d**5/11 + 8*d**4/11 - 6*d**3/11 = 0.
0, 1, 3
Determine f so that 2*