*r**3/11 + 104*r**2/11 + 120*r/11.
2*r*(r + 2)*(r + 5)*(r + 6)/11
Suppose -2*m**4 + 30*m**3 - 78*m**2 - 254*m - 144 = 0. Calculate m.
-1, 8, 9
Find a such that 2*a**4/7 + 664*a**3/7 - 2006*a**2/7 + 1340*a/7 = 0.
-335, 0, 1, 2
Find g such that 3*g**2/7 + 3552*g/7 + 1051392/7 = 0.
-592
What is v in v**5 + 191*v**4 + 1110*v**3 - 54*v**2 - 10071*v - 14985 = 0?
-185, -3, 3
Factor 12*p**2 - 165*p + 153.
3*(p - 1)*(4*p - 51)
Find r, given that 15*r**4 + 81*r**3 - 90*r**2 - 228*r - 72 = 0.
-6, -1, -2/5, 2
Factor 2*y**2/7 - 176*y/7 - 178/7.
2*(y - 89)*(y + 1)/7
What is h in 2*h**3/9 - 32*h**2/9 + 10*h + 36 = 0?
-2, 9
Factor 100*c**2 + 692*c - 56.
4*(c + 7)*(25*c - 2)
Factor 31730689*v**2/4 - 5633*v + 1.
(5633*v - 2)**2/4
Find l, given that 2*l**5/3 + 17*l**4/3 + 44*l**3/3 + 50*l**2/3 + 26*l/3 + 5/3 = 0.
-5, -1, -1/2
Factor -5*i**2 - 3585*i + 3590.
-5*(i - 1)*(i + 718)
Factor -2*s**2 + 4*s - 2.
-2*(s - 1)**2
Let v**5 - 64*v**4 - 200*v**3 - 70*v**2 + 199*v + 134 = 0. What is v?
-2, -1, 1, 67
Factor n**3 - 79*n**2 + 1520*n + 1600.
(n - 40)**2*(n + 1)
Factor -2*i**2/5 + 1662*i/5 + 1664/5.
-2*(i - 832)*(i + 1)/5
Factor -2*i**2/3 - 7036*i - 18564486.
-2*(i + 5277)**2/3
Determine x, given that -1029*x**5 + 1911*x**4 + 924*x**3 - 1488*x**2 + 480*x - 48 = 0.
-1, 2/7, 2
Let 5*w**2 - 80*w - 85 = 0. Calculate w.
-1, 17
Factor 2*h**3/7 + 1034*h**2/7.
2*h**2*(h + 517)/7
Factor -81*s**5/7 - 258831*s**4/7 - 275731699*s**3/7 - 97966428705*s**2/7 - 43499797200*s/7 - 4831798500/7.
-(s + 1065)**3*(9*s + 2)**2/7
Factor 4*n**2/5 - 44*n/5 + 72/5.
4*(n - 9)*(n - 2)/5
What is g in -10*g**5 - 144*g**4 - 656*g**3 - 960*g**2 - 288*g = 0?
-6, -2, -2/5, 0
Factor -3*s**3 + 3*s**2 + 75*s - 75.
-3*(s - 5)*(s - 1)*(s + 5)
Determine x, given that -2*x**5 - 164*x**4 - 4962*x**3 - 65600*x**2 - 320000*x = 0.
-25, -16, 0
Determine w so that 5*w**2 - 370*w + 5720 = 0.
22, 52
What is o in 2*o**4 + 406*o**3 - 2*o**2 - 406*o = 0?
-203, -1, 0, 1
Factor -21*p**5 - 1548*p**4 + 444*p**3.
-3*p**3*(p + 74)*(7*p - 2)
Factor 2*u**3 + 22*u**2 - 204*u.
2*u*(u - 6)*(u + 17)
Factor -3*j**4 + 6*j**3 + 12*j**2 - 24*j.
-3*j*(j - 2)**2*(j + 2)
What is q in 5*q**4 + 360*q**3 + 6110*q**2 - 13320*q + 6845 = 0?
-37, 1
Factor -3*b**2 + 6552*b.
-3*b*(b - 2184)
Suppose 2*q**3/3 - 314*q**2/3 + 614*q/3 + 310 = 0. What is q?
-1, 3, 155
Determine y, given that -315*y**4/8 + 4191*y**3/8 + 1587*y**2/4 - 375*y/2 - 21 = 0.
-1, -2/21, 2/5, 14
Find y, given that -5*y**5 + 55*y**4 - 210*y**3 + 320*y**2 - 160*y = 0.
0, 1, 2, 4
Find r, given that 2*r**5/11 - 40*r**4/11 + 274*r**3/11 - 860*r**2/11 + 1272*r/11 - 720/11 = 0.
2, 3, 10
Factor 6*c**3 - 111*c**2 + 381*c + 1254.
3*(c - 11)*(c + 2)*(2*c - 19)
Let 4*g**2 - 136*g - 288 = 0. Calculate g.
-2, 36
Determine z, given that z**4 - 17*z**3 - 3*z**2 + 49*z + 34 = 0.
-1, 2, 17
Factor -2*j**2/7 + 24*j + 1080/7.
-2*(j - 90)*(j + 6)/7
Factor -262*n**5/13 - 788*n**4/13 - 792*n**3/13 - 268*n**2/13 - 2*n/13.
-2*n*(n + 1)**3*(131*n + 1)/13
Let 2*t**4/5 - 32*t**3/5 + 74*t**2/5 + 252*t/5 + 144/5 = 0. What is t?
-1, 6, 12
Factor 3*u**3 - 2232*u**2 + 553536*u - 45758976.
3*(u - 248)**3
Factor -2*o**5 - 12*o**4 - 28*o**3 - 32*o**2 - 18*o - 4.
-2*(o + 1)**4*(o + 2)
Let 1040763*u**2 - 38874*u + 363 = 0. Calculate u.
11/589
Find u such that -2*u**4 + 76*u**3 + 240*u**2 + 244*u + 82 = 0.
-1, 41
Suppose 28*i**3 + 106*i**2 - 182*i - 60 = 0. Calculate i.
-5, -2/7, 3/2
Factor 63*i**2/4 - 317*i/4 + 5/2.
(i - 5)*(63*i - 2)/4
Suppose -4*w**2/5 - 40*w - 500 = 0. Calculate w.
-25
Factor -28*m**3 + 484*m**2 - 956*m/7 + 68/7.
-4*(m - 17)*(7*m - 1)**2/7
Solve 28*x**2 + 108*x - 160 = 0.
-5, 8/7
Suppose 5*z**2 + 365*z + 360 = 0. Calculate z.
-72, -1
Find l such that 3*l**5 + 57*l**4 - 69*l**3 - 165*l**2 + 294*l - 120 = 0.
-20, -2, 1
Determine k, given that -3*k**3 + 15*k**2 - 24*k + 12 = 0.
1, 2
Let 4*d**3/7 - 80*d**2/7 - 16*d + 896 = 0. Calculate d.
-8, 14
Factor -123*m**2 - 216*m + 60.
-3*(m + 2)*(41*m - 10)
Factor 2*i**2/9 - 94*i/9 + 164/3.
2*(i - 41)*(i - 6)/9
Factor 2*j**5 - 522*j**4 - 1052*j**3 - 4*j**2 + 1050*j + 526.
2*(j - 263)*(j - 1)*(j + 1)**3
Determine i so that 9*i**4 + 489*i**3 - 846*i**2 - 336*i = 0.
-56, -1/3, 0, 2
What is h in h**4/6 - 2*h**3/3 - 13*h**2/6 + 2*h/3 + 2 = 0?
-2, -1, 1, 6
Find a, given that 8*a**2 - 8702*a - 2176 = 0.
-1/4, 1088
Factor -x**4 - 3*x**3 + 3*x**2 + 7*x - 6.
-(x - 1)**2*(x + 2)*(x + 3)
Factor z**2/4 + 37*z/4 - 30.
(z - 3)*(z + 40)/4
Factor 2*b**5 + 212*b**4 + 5400*b**3 - 11664*b**2.
2*b**2*(b - 2)*(b + 54)**2
Find v, given that 359*v**4 - 1793*v**3/2 - 1441*v**2/2 + 1073*v/2 + 3/2 = 0.
-1, -1/359, 1/2, 3
Factor -28*m**3 + 216*m**2 - 384*m - 128.
-4*(m - 4)**2*(7*m + 2)
Find d, given that -d**3/4 + 29*d**2/4 - 56*d + 49 = 0.
1, 14
Suppose -s**3/4 - 9*s**2/4 - 3*s/2 + 4 = 0. Calculate s.
-8, -2, 1
Solve -5*c**5 - 15*c**4 + 45*c**3 + 155*c**2 - 180 = 0.
-3, -2, 1, 3
Suppose 3*w**5/2 - 33*w**4/2 - 18*w**3 = 0. Calculate w.
-1, 0, 12
Factor -2*h**2/7 - 436*h - 166334.
-2*(h + 763)**2/7
Factor -n**4/2 + 13*n**3 - 49*n**2/2 + 12*n.
-n*(n - 24)*(n - 1)**2/2
Factor -6*a**3 - 39*a**2 - 72*a - 27.
-3*(a + 3)**2*(2*a + 1)
Find d such that -d**3/6 + 2*d**2/3 + 5*d/6 = 0.
-1, 0, 5
Factor -2*l**2/7 + 2/7.
-2*(l - 1)*(l + 1)/7
Factor 3*f**5 + 6*f**4 - 12*f**3 - 6*f**2 + 9*f.
3*f*(f - 1)**2*(f + 1)*(f + 3)
Suppose 11035602*p**3 + 11026206*p**2 - 9394*p + 2 = 0. What is p?
-1, 1/2349
Factor 2*m**2/15 - 2*m/15 - 4.
2*(m - 6)*(m + 5)/15
Find l such that -39*l**2 + 12*l = 0.
0, 4/13
Find s, given that -2*s**4/3 + 34*s**3/9 + 6*s**2 + 14*s/9 = 0.
-1, -1/3, 0, 7
Solve -2*c**5 - 28*c**4 - 90*c**3 - 104*c**2 - 40*c = 0 for c.
-10, -2, -1, 0
Factor -5*p**3 - 355*p**2 - 1020*p.
-5*p*(p + 3)*(p + 68)
Factor -4*l**2 - 12*l + 160.
-4*(l - 5)*(l + 8)
Find h, given that -2888*h**5 - 42370*h**4 - 207532*h**3 - 356480*h**2 - 76800*h = 0.
-6, -80/19, -1/4, 0
Suppose 2*k**4 - 50*k**3 + 378*k**2 - 486*k - 2916 = 0. Calculate k.
-2, 9
Find i, given that -14*i**3/15 + 60*i**2 - 664*i/5 + 496/15 = 0.
2/7, 2, 62
Find j such that 6*j**3/13 + 32*j**2/13 + 6*j/13 - 20/13 = 0.
-5, -1, 2/3
Find d, given that 5*d**4 + 240*d**3 + 1000*d**2 - 48000*d + 90000 = 0.
-30, 2, 10
Factor -3*m**3 - 96*m**2 + 99*m.
-3*m*(m - 1)*(m + 33)
Factor y**5 + 4*y**4 - 19*y**3 + 14*y**2.
y**2*(y - 2)*(y - 1)*(y + 7)
Suppose -2*f**3/7 + 816*f**2/7 + 234*f + 820/7 = 0. Calculate f.
-1, 410
Find n, given that -2*n**5 + 12*n**4 + 2*n**3 - 12*n**2 = 0.
-1, 0, 1, 6
Solve -i**3 + 104*i**2 - 204*i = 0.
0, 2, 102
Determine k, given that -4*k**4 + 1132*k**3/5 - 2824*k**2/5 + 848*k/5 + 864/5 = 0.
-2/5, 1, 2, 54
Factor -b**2/6 + 800*b/3 + 1601/6.
-(b - 1601)*(b + 1)/6
Determine f so that -4*f**5/5 + 130*f**4 - 308*f**3/5 - 520*f**2 + 1296*f/5 = 0.
-2, 0, 1/2, 2, 162
Factor 2*v**2/13 - 126*v/13 - 128/13.
2*(v - 64)*(v + 1)/13
Factor -4*x**3 - 56*x**2 + 4*x + 56.
-4*(x - 1)*(x + 1)*(x + 14)
Determine i so that -25*i**5 + 2315*i**4 + 10505*i**3 + 15905*i**2 + 9680*i + 1940 = 0.
-2, -1, -2/5, 97
What is r in r**2/2 + 318*r + 50562 = 0?
-318
Factor 2*g**3 - 36*g**2 + 94*g - 60.
2*(g - 15)*(g - 2)*(g - 1)
Factor -9*x**3 + 636*x**2 + 876*x - 864.
-3*(x - 72)*(x + 2)*(3*x - 2)
What is l in 2*l**2/3 - 52*l - 162 = 0?
-3, 81
Solve -5*p**3 + 40*p**2 - 60*p = 0.
0, 2, 6
Find k, given that 98*k**3 - 182*k**2 + 102*k - 18 = 0.
3/7, 1
Let j**4/5 - 527*j**3/5 + 315*j**2 - 1573*j/5 + 524/5 = 0. Calculate j.
1, 524
Find m such that 16*m**2/7 - 48*m/7 - 45/7 = 0.
-3/4, 15/4
Determine g so that g**3/2 - 31*g**2/2 + 255*g/2 - 225/2 = 0.
1, 15
Factor 2*i**3/17 + 12*i**2/17 - 128*i/17 + 192/17.
2*(i - 4)*(i - 2)*(i + 12)/17
Factor -2*a**2/7 + 78*a/7 + 164/7.
-2*(a - 41)*(a + 2)/7
Let 2*w**5 + 9*w**4/2 - 7*w**3 - 6*w**2 + 5*w + 3/2 = 0. Calculate w.
-3, -1, -1/4, 1
Find i, given that 4*i**5 + 64*i**4 + 396*i**3 + 1168*i**2 + 1600*i + 768 = 0.
-4, -3, -1
Let v**2/4 - 7*v/2 - 198 = 0. Calculate v.
-22, 36
Solve k**5 - 8*k**4 + 17*k**3 + 14*k**2 - 84*k + 72 = 0 for k.
-2, 2, 3
Factor -q**4/4 - 97*q**3/2 + 195*q**2/4.
-q**2*(q - 1)*(q + 195)/4
Factor 3*g**5 + 441*g**4 + 2157*g**3 + 3855*g**2 + 2988*g + 852.
3*(g + 1)**3*(g + 2)*(g + 142)
Determine r, given that r**2/9 + 46*r/3 + 272/9 = 0.
-136, -2
Suppose 3*r**4 - 27*r**3 - 36*r**2 + 372*r - 432 = 0. Calculate r.
-4, 2,