*3 - 585*m**2 + 4536*m - 8976.
3*(m - 187)*(m - 4)**2
Determine r, given that 25*r**5 - 335*r**4/3 - 611*r**3 - 2173*r**2/3 - 322*r - 48 = 0.
-2, -3/5, -1/3, 8
Suppose 3*g**5/4 - 3*g**4 + 9*g**3/4 = 0. What is g?
0, 1, 3
Determine f, given that -2*f**4 + 18*f**3 - 216*f = 0.
-3, 0, 6
Determine a, given that -21*a**5 + 48*a**4 + 72*a**3 - 66*a**2 - 51*a + 18 = 0.
-1, 2/7, 1, 3
Factor 5*y**4 - 5*y**3 - 5*y**2 + 5*y.
5*y*(y - 1)**2*(y + 1)
Factor 3*j**3/5 + 72*j**2/5 - 561*j/5 - 126.
3*(j - 7)*(j + 1)*(j + 30)/5
Factor -3*w**4 - 60*w**3 - 432*w**2 - 1296*w - 1296.
-3*(w + 2)*(w + 6)**3
Let 2*n**3 - 24*n**2 + 90*n - 100 = 0. Calculate n.
2, 5
Factor x**4/2 + 23*x**3/2 + 21*x**2/2 - 23*x/2 - 11.
(x - 1)*(x + 1)**2*(x + 22)/2
Factor -2*m**2 + 18*m + 140.
-2*(m - 14)*(m + 5)
Let -g**3/2 - 86*g**2 - 6461*g/2 + 41405 = 0. Calculate g.
-91, 10
Suppose 2*o**3/9 - 50*o/9 = 0. Calculate o.
-5, 0, 5
Find q, given that 2*q**3 - 228*q**2 + 8664*q - 109744 = 0.
38
What is s in -5*s**4 + 80*s**3 - 460*s**2 + 1120*s - 960 = 0?
2, 4, 6
Find y such that 5*y**2 - 13540*y + 9166580 = 0.
1354
Let 2*h**3/11 - 1788*h**2/11 + 399618*h/11 = 0. Calculate h.
0, 447
Determine i so that -243*i**5 + 594*i**4 - 207*i**3 - 24*i**2 + 12*i = 0.
-2/9, 0, 1/3, 2
What is x in -x**2/4 + 27*x/4 + 40 = 0?
-5, 32
Solve -361*p**2/7 - 2280*p/7 - 3600/7 = 0 for p.
-60/19
Factor 3*h**2 - 315*h + 8208.
3*(h - 57)*(h - 48)
What is i in -2*i**2 + 48*i - 88 = 0?
2, 22
Factor -4*r**5/9 - 40*r**4/9 - 160*r**3/9 - 320*r**2/9 - 320*r/9 - 128/9.
-4*(r + 2)**5/9
Factor -4*y**2/9 - 40*y/9 - 4.
-4*(y + 1)*(y + 9)/9
Determine w, given that 25*w**3/3 - 10*w**2 - 12*w - 8/3 = 0.
-2/5, 2
Solve 125*b**2 + 155*b + 30 = 0.
-1, -6/25
Suppose 4*q**2/5 - 5156*q/5 - 1032 = 0. What is q?
-1, 1290
Determine i, given that -5*i**5 + 10*i**4 + 20*i**3 - 10*i**2 - 15*i = 0.
-1, 0, 1, 3
Factor -5*o**3 - 10*o**2.
-5*o**2*(o + 2)
Determine b so that -3*b**5 - 66*b**4 - 225*b**3 - 150*b**2 + 228*b + 216 = 0.
-18, -2, -1, 1
Factor 4*p**5 + 24*p**4 + 12*p**3 - 40*p**2.
4*p**2*(p - 1)*(p + 2)*(p + 5)
Solve 21*c**2/4 - 92331*c/4 - 13191/2 = 0 for c.
-2/7, 4397
Suppose 4*n**4 + 16*n**3 - 64*n**2 - 64*n + 192 = 0. What is n?
-6, -2, 2
Let -2*w**2 + 8*w - 6 = 0. Calculate w.
1, 3
Factor y**2 - 459*y + 1368.
(y - 456)*(y - 3)
Factor -2*r**2 - 10408*r - 13540808.
-2*(r + 2602)**2
Solve -21*y**4 + 39*y**3 + 69*y**2 + 9*y = 0 for y.
-1, -1/7, 0, 3
Factor -i**4/5 + 88*i**3/5 + 3*i**2/5 - 266*i/5 + 176/5.
-(i - 88)*(i - 1)**2*(i + 2)/5
Determine o so that 215*o**2 - 640*o - 15 = 0.
-1/43, 3
Solve 2*q**2/11 + 1346*q/11 = 0.
-673, 0
Suppose 45*w**4/2 + 815*w**3 + 13185*w**2/2 - 14820*w - 3610 = 0. What is w?
-19, -2/9, 2
Factor -4*p**2 + 196.
-4*(p - 7)*(p + 7)
Solve -3*f**3/2 + 63*f**2/2 + 135*f/2 + 69/2 = 0 for f.
-1, 23
Find q, given that -5*q**5 - 25*q**4 - 50*q**3 - 50*q**2 - 25*q - 5 = 0.
-1
Factor 5*x**2 + 110*x + 605.
5*(x + 11)**2
Factor -2*o**3 + 68*o**2 + 2*o - 68.
-2*(o - 34)*(o - 1)*(o + 1)
Let -107*b**4/2 - 3*b**3/2 = 0. Calculate b.
-3/107, 0
Suppose -2*p**4/11 - 52*p**3/11 - 226*p**2/11 - 344*p/11 - 168/11 = 0. Calculate p.
-21, -2, -1
Let 2*u**5/7 - 38*u**4/7 + 102*u**3/7 - 14*u**2 + 32*u/7 = 0. What is u?
0, 1, 16
Determine k so that -4*k**3/9 - 748*k**2/3 - 4472*k/9 = 0.
-559, -2, 0
Factor 2*q**3/5 - 464*q**2/5 - 376*q - 1888/5.
2*(q - 236)*(q + 2)**2/5
Find p such that 4*p**3 - 180*p**2 + 1788*p - 1612 = 0.
1, 13, 31
Factor -5*l**2 + 185*l.
-5*l*(l - 37)
Factor -4*f**3 + 28*f**2 + 16*f - 112.
-4*(f - 7)*(f - 2)*(f + 2)
Factor j**2/3 - 88*j/3.
j*(j - 88)/3
Let -5*y**3 - 400*y**2 - 785*y - 390 = 0. What is y?
-78, -1
Factor 13*b**2 - 46*b - 24.
(b - 4)*(13*b + 6)
Solve 5*x**3 - 115*x**2 - 5*x + 115 = 0 for x.
-1, 1, 23
What is b in -b**4/4 + 41*b**3/4 + 273*b**2/4 + 419*b/4 + 47 = 0?
-4, -1, 47
Determine b so that b**5/4 - 5*b**4/2 + 21*b**3/4 + b**2 - 7*b = 0.
-1, 0, 2, 7
Factor -w**2/3 - 11*w/3.
-w*(w + 11)/3
Determine b so that -b**2/2 + 93*b/2 = 0.
0, 93
Suppose -2*y**4/3 - 14*y**3/3 - 8*y**2/3 + 8*y = 0. What is y?
-6, -2, 0, 1
Factor -2*z**5/21 + 2*z**4/21 + 2*z**3/21 - 2*z**2/21.
-2*z**2*(z - 1)**2*(z + 1)/21
Determine f, given that 2*f**5/11 + 222*f**4/11 + 570*f**3 + 550*f**2 = 0.
-55, -1, 0
Find f such that 2*f**5/5 + 32*f**4/5 - 44*f**3/5 - 176*f**2/5 - 102*f/5 = 0.
-17, -1, 0, 3
Determine o, given that -o**4 - 117*o**3/5 + 199*o**2/5 - 27*o/5 - 10 = 0.
-25, -2/5, 1
Factor 3*q**2/5 - 396*q/5.
3*q*(q - 132)/5
Factor -2*a**2/5 + 1142*a/5 - 228.
-2*(a - 570)*(a - 1)/5
Determine j, given that -6*j**5/5 + 4*j**4/15 + 162*j**3/5 + 288*j**2/5 - 72*j/5 = 0.
-3, 0, 2/9, 6
Factor -4*f**2 - 4*f + 24.
-4*(f - 2)*(f + 3)
Factor -z**3 - 77*z**2 + z + 77.
-(z - 1)*(z + 1)*(z + 77)
Find p, given that 2*p**5/3 - 10*p**4 + 16*p**3/3 + 688*p**2/3 + 480*p + 800/3 = 0.
-2, -1, 10
Determine c so that 3*c**3/4 + 93*c**2/4 - 99*c/2 = 0.
-33, 0, 2
Determine f, given that 5*f**2 + 30*f - 80 = 0.
-8, 2
Find h such that 2*h**4/3 + 8*h**3/3 - 14*h**2 - 200*h/3 - 200/3 = 0.
-5, -2, 5
Factor -4*v**2 - 924*v - 1832.
-4*(v + 2)*(v + 229)
Factor 3*y**2/2 - 2106*y + 739206.
3*(y - 702)**2/2
Determine f so that f**5/10 + 16*f**4/5 + 156*f**3/5 + 448*f**2/5 + 392*f/5 = 0.
-14, -2, 0
What is a in -3*a**5/5 + 221*a**4/5 - 544*a**3 + 6996*a**2/5 + 19136*a/5 - 15104/5 = 0?
-2, 2/3, 8, 59
Find w, given that -3*w**3 - 2961*w**2 + 2964*w = 0.
-988, 0, 1
Determine m, given that -m**2/2 - 3*m/10 + 1/5 = 0.
-1, 2/5
Solve -4*j**5/5 - 26*j**4/15 - 16*j**3/15 - 2*j**2/15 = 0 for j.
-1, -1/6, 0
Factor t**4 - 4*t**3 - 19*t**2 - 14*t.
t*(t - 7)*(t + 1)*(t + 2)
Factor 3*b**3 - 24*b**2 - 99*b.
3*b*(b - 11)*(b + 3)
Factor 295*r**3/2 + 2945*r**2/2 + 7325*r/2 - 125/2.
5*(r + 5)**2*(59*r - 1)/2
Factor 2*s**3/11 + 222*s**2/11 - 228*s/11 - 448/11.
2*(s - 2)*(s + 1)*(s + 112)/11
Factor -3*u**3 - 3204*u**2 - 1140624*u - 135354048.
-3*(u + 356)**3
Factor 4*r**2 - 15272*r + 14577124.
4*(r - 1909)**2
Factor 5*s**2 + 475*s.
5*s*(s + 95)
Factor -4*q**3 + 1366*q**2/5 - 408*q/5.
-2*q*(q - 68)*(10*q - 3)/5
Factor -2*o**3 + 226*o**2 + 1904*o + 3872.
-2*(o - 121)*(o + 4)**2
Suppose 12*p**5 - 225*p**4 + 903*p**3 + 1440*p**2 + 300*p = 0. What is p?
-1, -1/4, 0, 10
Find c such that -4*c**5 + 160*c**4 + 868*c**3 + 1424*c**2 + 720*c = 0.
-2, -1, 0, 45
What is o in -6*o**4/5 + 568*o**3/5 + 1942*o**2/5 + 352*o + 392/5 = 0?
-2, -1, -1/3, 98
Determine v so that v**2/5 - 70*v + 6125 = 0.
175
Find t, given that -3*t**5 - 48*t**4 - 36*t**3 + 138*t**2 + 39*t - 90 = 0.
-15, -2, -1, 1
Factor 3*m**4/7 - 3*m**3/7 - 27*m**2 - 729*m/7 - 810/7.
3*(m - 10)*(m + 3)**3/7
Factor -2*m**2/11 + 24*m/11 + 26/11.
-2*(m - 13)*(m + 1)/11
Factor -4*j**2 + 100*j - 264.
-4*(j - 22)*(j - 3)
Factor -z**4/3 - 5*z**3/3 + z**2 + 13*z/3 - 10/3.
-(z - 1)**2*(z + 2)*(z + 5)/3
Find z, given that 12*z**4 - 69*z**3 - 2790*z**2 + 22539*z + 5808 = 0.
-16, -1/4, 11
Let 5*y**5/6 + 1253*y**4/6 - 4297*y**3/6 + 5323*y**2/6 - 1396*y/3 + 254/3 = 0. What is y?
-254, 2/5, 1
Factor 21*h**3/2 + 265*h**2/2 + 79*h + 12.
(h + 12)*(3*h + 1)*(7*h + 2)/2
Factor 2*m**2/5 + 384*m/5 + 18432/5.
2*(m + 96)**2/5
Let -5*g**4 + 90*g**3 - 540*g**2 + 1190*g - 735 = 0. Calculate g.
1, 3, 7
Factor 2*d**4 + 2*d**3 - 6*d**2 - 10*d - 4.
2*(d - 2)*(d + 1)**3
Solve -324*g**5/5 - 576*g**4/5 + 2732*g**3/5 - 584*g**2/5 + 32*g/5 = 0.
-4, 0, 1/9, 2
Factor -12*r**4/7 - 754*r**3/7 - 2250*r**2 - 15498*r + 2646.
-2*(r + 21)**3*(6*r - 1)/7
Suppose 4*d**2 - 60*d - 136 = 0. Calculate d.
-2, 17
Factor -5*n**3 + 160*n**2 + 960*n - 46080.
-5*(n - 24)**2*(n + 16)
Determine b so that -45*b**5 + 235*b**4 - 320*b**3 + 60*b**2 = 0.
0, 2/9, 2, 3
Let -5*k**2 - 3930*k - 772245 = 0. Calculate k.
-393
What is x in 10*x**5 + 115*x**4 + 400*x**3 + 370*x**2 - 50*x - 125 = 0?
-5, -1, 1/2
Find p such that 3*p**4/4 - 123*p**3/4 + 279*p**2/2 - 162*p = 0.
0, 2, 3, 36
Factor 5*k**5 - 20*k**4 - 30*k**3 + 20*k**2 + 25*k.
5*k*(k - 5)*(k - 1)*(k + 1)**2
Solve -2*r**2/5 + 196*r/5 = 0.
0, 98
Factor -3*k**2 + 120*k - 117.
-3*(k - 39)*(k - 1)
Factor 2*i**2 - 1010*i - 1012.
2*(i - 506)*(i + 1)
Factor -2*x**2/13 + 34*x/13 - 8.
-2*(x - 13)*(x - 4)/13
Factor 2*o**4 - 24*o**3 + 70*o**2.
2*o**2*(o - 7)*(o - 5)
Let -4*w**2 - 128*w - 124 = 0. Calculate w.
-31, -1
Let -f**2/3 + 5*f - 18 = 0. Calculate f.
