)*(p + 1)*(p + 20)
Factor -2*j**4/5 + 114*j**3/5 - 636*j**2/5 + 248*j - 816/5.
-2*(j - 51)*(j - 2)**3/5
Find h, given that -6*h**2/5 + 9*h/5 = 0.
0, 3/2
Determine a so that a**2/4 + 529*a - 1059 = 0.
-2118, 2
Factor -h**3/2 - 3*h**2/2 + 2*h.
-h*(h - 1)*(h + 4)/2
Factor -2*i**4 - 424*i**3/7 - 120*i**2/7.
-2*i**2*(i + 30)*(7*i + 2)/7
Determine f, given that -5*f**4 - 30*f**3 - 55*f**2 - 30*f = 0.
-3, -2, -1, 0
Factor -2*y**3 - 126*y**2 - 1900*y.
-2*y*(y + 25)*(y + 38)
Find g, given that 2*g**4/11 + 30*g**3/11 + 146*g**2/11 + 258*g/11 + 140/11 = 0.
-7, -5, -2, -1
Find g such that -775*g**5 + 780*g**4 + 1545*g**3 - 10*g**2 = 0.
-1, 0, 1/155, 2
Factor 5*n**5 - 10*n**4 - 55*n**3 + 60*n**2 + 180*n.
5*n*(n - 3)**2*(n + 2)**2
Solve 4*w**3/15 - 22*w**2/5 + 188*w/15 - 26/5 = 0 for w.
1/2, 3, 13
Let -2*f**5 - 12*f**4 - 20*f**3 + 22*f + 12 = 0. What is f?
-3, -2, -1, 1
Suppose m**4/4 - 5915*m**3/2 + 34987225*m**2/4 = 0. What is m?
0, 5915
Determine f so that -f**2 + 5*f - 6 = 0.
2, 3
Let 2587221*q**2 - 4212*q + 12/7 = 0. What is q?
2/2457
Determine t, given that -8*t**4 + 126*t**3 + 40*t**2 - 126*t - 32 = 0.
-1, -1/4, 1, 16
Determine d, given that 21*d**5 - 240*d**4 - 804*d**3 + 618*d**2 + 783*d - 378 = 0.
-3, -1, 3/7, 1, 14
Solve 2*p**4 + 30*p**3 + 52*p**2 = 0 for p.
-13, -2, 0
Determine w so that -2*w**4/3 + 7*w**3/3 + 3*w**2 - 9*w - 9 = 0.
-3/2, -1, 3
Factor -b**3 - 13*b**2 + 289*b - 275.
-(b - 11)*(b - 1)*(b + 25)
Factor -2*h**3/3 + 74*h**2/3.
-2*h**2*(h - 37)/3
Find f such that -4*f**4 - 2*f**3 + 16*f**2 - 10*f = 0.
-5/2, 0, 1
Suppose w**4/7 + 5*w**3/7 - 12*w**2 = 0. What is w?
-12, 0, 7
Let -2*p**2/3 - 50*p - 144 = 0. What is p?
-72, -3
Solve 2*d**2 + 18*d - 20 = 0.
-10, 1
Find s such that 4*s**3 + 20*s**2 + 12*s - 36 = 0.
-3, 1
Factor 6*l**2/11 + 224*l/11 + 74/11.
2*(l + 37)*(3*l + 1)/11
Solve 3*k**3/2 + 45*k**2/2 + 108*k + 162 = 0 for k.
-6, -3
Determine a, given that -36*a**4 - 600*a**3 - 2692*a**2 - 1600*a - 256 = 0.
-8, -1/3
Solve -g**4/4 + 66*g**3 + 3*g**2/4 - 395*g/2 - 132 = 0.
-1, 2, 264
Factor -2*g**3/7 + 16*g**2/7 - 24*g/7.
-2*g*(g - 6)*(g - 2)/7
Factor -g**5/10 - 2*g**4/5 + 6*g**3/5.
-g**3*(g - 2)*(g + 6)/10
Find h such that -4*h**4/7 - 26000*h**3/7 - 63375000*h**2/7 - 68656250000*h/7 - 27891601562500/7 = 0.
-1625
Factor 3*p**5 - 24*p**4 + 12*p**3 + 240*p**2 - 192*p - 768.
3*(p - 4)**3*(p + 2)**2
What is s in -3*s**3 + 123*s**2 + 255*s + 129 = 0?
-1, 43
Determine n, given that n**4 - 10*n**2 + 9 = 0.
-3, -1, 1, 3
Suppose -3*a**4 + 180*a**3 - 3642*a**2 + 25956*a - 22491 = 0. What is a?
1, 17, 21
Suppose 57*y**4/2 + 13*y**3/4 - 115*y**2/4 - 13*y/4 + 1/4 = 0. Calculate y.
-1, -1/6, 1/19, 1
What is c in -3*c**4 + 32274*c**3 - 115734564*c**2 + 138341382168*c = 0?
0, 3586
Factor -3*j**2 - 27*j.
-3*j*(j + 9)
Factor 4*z**2 - 332*z + 3408.
4*(z - 71)*(z - 12)
Find x, given that -6*x**3/5 + 546*x**2/5 - 204*x - 4272/5 = 0.
-2, 4, 89
Solve 2*c**3/9 - 4*c**2/3 - 38*c/9 + 16/3 = 0 for c.
-3, 1, 8
Suppose -f**2/2 - 806*f - 324818 = 0. Calculate f.
-806
Factor h**4/3 - 638*h**3/3 + 102397*h**2/3 - 67628*h + 33708.
(h - 318)**2*(h - 1)**2/3
Factor 2*l**5 - 14*l**4 + 32*l**3 - 24*l**2.
2*l**2*(l - 3)*(l - 2)**2
Determine l so that -l**4 + l**3 + 3*l**2 - 5*l + 2 = 0.
-2, 1
Factor 5*y**5 - 25*y**4 + 40*y**3 - 20*y**2.
5*y**2*(y - 2)**2*(y - 1)
Factor -5*a**3 - 140*a**2 - 1200*a - 2880.
-5*(a + 4)*(a + 12)**2
Factor 21*t**3/4 + 51*t**2/4 + 39*t/4 + 9/4.
3*(t + 1)**2*(7*t + 3)/4
Factor -190*h**3/13 - 376*h**2/13 + 8*h/13.
-2*h*(h + 2)*(95*h - 2)/13
Let 9*o**3 + 245*o**2 - 198*o - 56 = 0. Calculate o.
-28, -2/9, 1
Factor -d**3 - 23*d**2 - 143*d - 121.
-(d + 1)*(d + 11)**2
Determine j so that j**5 - j**3 = 0.
-1, 0, 1
Factor 3*b**3/2 - 141*b**2/2 - 147*b.
3*b*(b - 49)*(b + 2)/2
Suppose 2*b**2/15 + 184*b/15 + 4232/15 = 0. Calculate b.
-46
Factor -2*u**4/21 + 20*u**3/21 - 8*u**2/7 - 48*u/7.
-2*u*(u - 6)**2*(u + 2)/21
Factor l**4 + 2*l**3 - 5*l**2 - 6*l.
l*(l - 2)*(l + 1)*(l + 3)
Find m, given that 2*m**3 - 16*m**2 + 40*m - 32 = 0.
2, 4
Solve r**2/4 - 148*r + 21904 = 0 for r.
296
Find i such that 3*i**3 + 99*i**2 + 96*i = 0.
-32, -1, 0
Factor -g**4/7 + 6*g**3/7 + 36*g**2/7 - 184*g/7 + 192/7.
-(g - 8)*(g - 2)**2*(g + 6)/7
Solve 3*d**3/5 + 3*d**2 + 21*d/5 + 9/5 = 0.
-3, -1
Find w, given that 567*w**5 + 2439*w**4 + 2377*w**3 + 477*w**2 - 40*w - 12 = 0.
-3, -1, -2/9, 1/7
Find g such that 2*g**5 - 10*g**4 + 8*g**3 + 32*g**2 - 64*g + 32 = 0.
-2, 1, 2
Suppose 2*y**5/7 + 26*y**4/7 - 204*y**3/7 + 440*y**2/7 - 304*y/7 = 0. What is y?
-19, 0, 2
Factor p**3 + 135*p**2 + 398*p + 264.
(p + 1)*(p + 2)*(p + 132)
Let 3*c**5/5 + 48*c**4/5 + 126*c**3/5 - 648*c**2/5 - 729*c/5 = 0. Calculate c.
-9, -1, 0, 3
Determine h, given that h**2/3 - 25*h/3 - 26/3 = 0.
-1, 26
Suppose -2*n**5 + 208*n**4 - 608*n**3 + 196*n**2 + 610*n - 404 = 0. What is n?
-1, 1, 2, 101
Factor 3*o**4 - 507*o**3 + 22167*o**2 - 62997*o + 41334.
3*(o - 83)**2*(o - 2)*(o - 1)
Let 2*f**4/25 + 334*f**3/5 - 1672*f**2/25 = 0. Calculate f.
-836, 0, 1
Determine l so that -l**4 + 21*l**3/2 - 22*l**2 + 33*l/2 - 4 = 0.
1/2, 1, 8
Factor 5*p**3 - 130*p**2 - 995*p + 1120.
5*(p - 32)*(p - 1)*(p + 7)
Find h, given that -27*h**5/2 - 63*h**4/4 + 3*h**3/4 + 15*h**2/4 + 3*h/4 = 0.
-1, -1/3, 0, 1/2
Factor -2*p**3/5 - 120*p**2 + 2*p/5 + 120.
-2*(p - 1)*(p + 1)*(p + 300)/5
Factor -35*k**2 - 130*k + 40.
-5*(k + 4)*(7*k - 2)
Factor 5*o**3 + 30*o**2 - 1155*o - 9680.
5*(o - 16)*(o + 11)**2
Solve r**2 + 126*r + 3969 = 0.
-63
What is b in -5*b**5 + 75*b**4 - 360*b**3 + 560*b**2 = 0?
0, 4, 7
Find m, given that -12*m**3 + 232*m**2 - 76*m = 0.
0, 1/3, 19
Solve b**3/6 - b**2/6 - b/3 = 0 for b.
-1, 0, 2
Factor -z**2/5 - 83*z/5.
-z*(z + 83)/5
Factor 4*h**4 + 36*h**3 + 112*h**2 + 144*h + 64.
4*(h + 1)*(h + 2)**2*(h + 4)
Factor 4*d**4 + 52*d**3 + 216*d**2 + 368*d + 224.
4*(d + 2)**3*(d + 7)
Factor -5*f**2 - 100*f - 180.
-5*(f + 2)*(f + 18)
Factor -2*l**2/17 - 424*l/17 - 22472/17.
-2*(l + 106)**2/17
Factor -4*d**4/7 - 752*d**3/7 - 36816*d**2/7 - 138368*d/7 - 135424/7.
-4*(d + 2)**2*(d + 92)**2/7
Let -k**2 + 156*k = 0. What is k?
0, 156
Factor 5*r**3 + 30*r**2 + 40*r.
5*r*(r + 2)*(r + 4)
Solve -k**2/2 + 710*k = 0.
0, 1420
Factor 5*d**5 + 105*d**4 + 285*d**3 + 275*d**2 + 90*d.
5*d*(d + 1)**3*(d + 18)
Suppose 2*x**5 + 414*x**4 - 1676*x**3 + 2524*x**2 - 1686*x + 422 = 0. Calculate x.
-211, 1
Factor 5*p**2 - 45.
5*(p - 3)*(p + 3)
Factor -175*k**2 + 190*k - 15.
-5*(k - 1)*(35*k - 3)
Factor y**4/5 - 2*y**3/5.
y**3*(y - 2)/5
Determine f, given that -3*f**3/2 - 171*f**2 - 6498*f - 82308 = 0.
-38
Let 2*h**2/9 - 356*h/9 + 15842/9 = 0. What is h?
89
Factor 2*r**3/3 - 112*r**2/3 - 230*r/3 - 116/3.
2*(r - 58)*(r + 1)**2/3
Factor -s**4 + 46*s**3 - 120*s**2 - 382*s - 215.
-(s - 43)*(s - 5)*(s + 1)**2
Suppose 3*t**4/4 + 3*t**3/2 - 12*t**2 - 3*t/2 + 45/4 = 0. What is t?
-5, -1, 1, 3
Factor 5*t**3 + 20*t**2.
5*t**2*(t + 4)
Factor -b**4 + b**3 + 3*b**2 - 5*b + 2.
-(b - 1)**3*(b + 2)
What is r in r**5 + 2*r**4 - 32*r**3 - 96*r**2 = 0?
-4, 0, 6
Suppose -p**3 - 16*p**2 - 85*p - 150 = 0. Calculate p.
-6, -5
Determine w, given that 5*w**3 - 1420*w**2 - 2855*w - 1430 = 0.
-1, 286
Factor 2*u**3 - 12*u**2 + 18*u.
2*u*(u - 3)**2
Factor -i**2 + 226*i - 12769.
-(i - 113)**2
Factor 3*i**4 + 540*i**3 + 32400*i**2 + 648000*i.
3*i*(i + 60)**3
Factor 4*d**3 - 3264*d**2 - 13104*d - 13120.
4*(d - 820)*(d + 2)**2
Factor -2*y**5 + 6*y**4 - 8*y**2.
-2*y**2*(y - 2)**2*(y + 1)
Let -2*x**3/3 + 3338*x**2/3 - 464816*x + 463704 = 0. Calculate x.
1, 834
Find o, given that -2*o**2 - 2536*o - 803912 = 0.
-634
Determine b, given that -b**4/2 + 5*b**3 + 7*b**2/2 - 38*b + 30 = 0.
-3, 1, 2, 10
Suppose -2*n**3/15 + 74*n**2/15 - 782*n/15 + 578/5 = 0. What is n?
3, 17
Let -5*c**5 - 25*c**4 - 20*c**3 + 80*c**2 + 160*c + 80 = 0. What is c?
-2, -1, 2
Suppose 9*m**4 - 78*m**3 + 108*m**2 + 270*m + 75 = 0. Calculate m.
-1, -1/3, 5
Factor -z**3 + 28*z**2 - 53*z + 26.
-(z - 26)*(z - 1)**2
Determine f so that f**2/6 - 1298*f/3 + 865/2 = 0.
1, 2595
Factor -3*j**3/5 - 39*j**2/5 - 117*j/5 - 81/5.
-3*(j + 1)*(j + 3)*(j + 9)/5
Factor -5*b**3 - 15*b**2 + 110*b + 120.
-5*(b - 4)*(b + 1)*(b + 6)
Factor -4*l**3 + 48*l**2 - 68*l - 120.
-4*(l - 10)*(l - 3)*(l + 1)
Determine f so that 2*f**3/9 - 176*f**2/9 - 2*f/9 + 176/9 = 0