-4*(l - 6)**2*(l + 5)
Factor 2*x**3/7 - 14*x**2 + 1072*x/7 - 1768/7.
2*(x - 34)*(x - 13)*(x - 2)/7
Solve -d**4 - 28*d**3 - 75*d**2 + 4*d + 100 = 0.
-25, -2, 1
Find o, given that 20*o**3/9 + 5152*o**2/9 - 7244*o/9 + 2072/9 = 0.
-259, 2/5, 1
Factor 3*n**3 + 18*n**2.
3*n**2*(n + 6)
Factor 3*j**5 - 5*j**4 - j**3 + 5*j**2 - 2*j.
j*(j - 1)**2*(j + 1)*(3*j - 2)
Let p**2/3 + 11*p/3 + 28/3 = 0. What is p?
-7, -4
Factor d**5 + 166*d**4 + 812*d**3 + 1130*d**2 + 483*d.
d*(d + 1)**2*(d + 3)*(d + 161)
Determine b so that 3*b**4/7 + 30*b**3/7 - 9*b**2 - 354*b/7 - 264/7 = 0.
-11, -2, -1, 4
Factor 3*d**2/5 + 138*d/5 + 1587/5.
3*(d + 23)**2/5
Factor -3*y**3/4 - 309*y**2/4 + 3315*y/4 - 8475/4.
-3*(y - 5)**2*(y + 113)/4
Let 5*d**3 - 940*d**2 = 0. What is d?
0, 188
Determine z, given that 16*z**4 - 124*z**3 + 84*z**2 = 0.
0, 3/4, 7
Let -b**5 + 4*b**3 = 0. Calculate b.
-2, 0, 2
Solve -2*g**3/11 - 4*g**2 - 312*g/11 - 720/11 = 0.
-10, -6
Factor -2*c**3/5 - 1222*c**2/5 - 37454*c - 37210.
-2*(c + 1)*(c + 305)**2/5
Find f, given that f**4 - 3*f**3 - 3*f**2 + 11*f - 6 = 0.
-2, 1, 3
Solve -4*b**5 - 8*b**4 + 48*b**3 + 56*b**2 - 44*b - 48 = 0 for b.
-4, -1, 1, 3
Factor 5*f**4 + 30*f**3 - 75*f**2 + 40*f.
5*f*(f - 1)**2*(f + 8)
Suppose 3*i**3 + 675*i**2 = 0. Calculate i.
-225, 0
Solve -n**4 - 6*n**3 + 3*n**2 + 20*n + 12 = 0 for n.
-6, -1, 2
Solve -h**5/4 - h**4/2 + h**3/4 + h**2/2 = 0.
-2, -1, 0, 1
Let 2*h**2/3 + 5684*h/9 + 1894/9 = 0. Calculate h.
-947, -1/3
Determine r, given that r**2/4 + 101*r/4 - 51/2 = 0.
-102, 1
Suppose -c**3/2 - 609*c**2 - 247254*c - 33461708 = 0. What is c?
-406
Determine m, given that 4*m**3/5 + 171*m**2/5 + 57*m - 82/5 = 0.
-41, -2, 1/4
Find t such that 27*t**5/2 - 81*t**4 + 243*t**3/2 - 52*t**2 - 10*t + 8 = 0.
-1/3, 2/3, 1, 4
Suppose -m**2/6 + 269*m/6 = 0. What is m?
0, 269
Factor -3*w**2/4 - 21*w/2 - 147/4.
-3*(w + 7)**2/4
Let -3*g**5 + 105*g**4 + 9*g**3 - 309*g**2 - 210*g = 0. Calculate g.
-1, 0, 2, 35
Factor -d**3/2 + 31*d**2/2 - 72*d - 810.
-(d - 18)**2*(d + 5)/2
Suppose 2*d**2 + 422*d - 424 = 0. Calculate d.
-212, 1
Determine x, given that 11*x**4 - 53*x**3 + 67*x**2 - 19*x - 6 = 0.
-2/11, 1, 3
Find r, given that r**5/2 - 13*r**4/3 + 85*r**3/6 - 65*r**2/3 + 46*r/3 - 4 = 0.
2/3, 1, 2, 3
Factor -3*u**5/2 - 60*u**4 - 171*u**3 - 168*u**2 - 111*u/2.
-3*u*(u + 1)**3*(u + 37)/2
Factor 15*c**2/7 - 57*c/7 - 12/7.
3*(c - 4)*(5*c + 1)/7
Suppose -d**2/5 - 1718*d/5 - 737881/5 = 0. Calculate d.
-859
Suppose -p**4/2 + 2*p**3 + 6*p**2 - 32*p + 32 = 0. What is p?
-4, 2, 4
Determine s, given that -3*s**4 + 26976*s**3 - 90963072*s**2 + 136323323904*s - 76613708034048 = 0.
2248
Solve 4*s**4 + 16*s**3 + 12*s**2 - 16*s - 16 = 0 for s.
-2, -1, 1
Solve u**2/3 + 359*u/3 + 358/3 = 0.
-358, -1
Factor -35*f**3 + 38*f**2 - 8*f.
-f*(5*f - 4)*(7*f - 2)
Suppose -2*b**3 + 1414*b**2 - 1412*b = 0. Calculate b.
0, 1, 706
What is h in 6*h**3 + 81*h**2 + 36*h - 39 = 0?
-13, -1, 1/2
Factor -5*p**2 - 56*p - 99.
-(p + 9)*(5*p + 11)
What is n in -8*n**3/7 - 34*n**2/7 - 18*n/7 + 36/7 = 0?
-3, -2, 3/4
Find t, given that -t**4/2 - 7*t**3/6 + 31*t**2/6 + 47*t/6 + 2 = 0.
-4, -1, -1/3, 3
Factor 2*j**3 + 104*j**2/9 - 50*j/3 + 28/9.
2*(j - 1)*(j + 7)*(9*j - 2)/9
Factor 14*t**3/5 - 88*t**2/15 + 8*t/15.
2*t*(t - 2)*(21*t - 2)/15
Factor u**2 - 441*u + 440.
(u - 440)*(u - 1)
Factor -2*v**5/13 - 40*v**4.
-2*v**4*(v + 260)/13
Factor -3*u**3 + 12*u**2 - 3*u - 18.
-3*(u - 3)*(u - 2)*(u + 1)
Factor -5*b**3 - 135*b**2 + 645*b + 775.
-5*(b - 5)*(b + 1)*(b + 31)
Suppose 2*q**3/15 - 6*q/5 = 0. Calculate q.
-3, 0, 3
What is q in 3*q**4 + 20265*q**3 + 45623268*q**2 + 34217437488*q - 34263081024 = 0?
-2252, 1
Factor w**4/2 + 33*w**3/8 - 27*w**2/8.
w**2*(w + 9)*(4*w - 3)/8
Factor -128*p**5/7 - 7008*p**4/7 - 127896*p**3/7 - 778034*p**2/7.
-2*p**2*(4*p + 73)**3/7
Factor 5*z**3 - 80*z**2 + 175*z + 260.
5*(z - 13)*(z - 4)*(z + 1)
Factor 2*y**4 - 12*y**3 - 6*y**2 + 104*y - 120.
2*(y - 5)*(y - 2)**2*(y + 3)
Let z**2/3 - 949*z/3 - 634 = 0. What is z?
-2, 951
Factor -2*k**5 - 8*k**4 - 8*k**3 + 4*k**2 + 10*k + 4.
-2*(k - 1)*(k + 1)**3*(k + 2)
Factor -t**2 - 1417*t.
-t*(t + 1417)
Factor 2*n**2/5 + 492*n/5 + 30258/5.
2*(n + 123)**2/5
Factor -3*i**2 + 9*i + 324.
-3*(i - 12)*(i + 9)
Factor -a**4/2 - 2*a**3 - 3*a**2 - 2*a - 1/2.
-(a + 1)**4/2
Factor -28*q**4 + 244348*q**3 - 710761788*q**2 + 689066617268*q + 196934203432.
-4*(q - 2909)**3*(7*q + 2)
Factor 2*f**4/17 - 24*f**3/17 + 58*f**2/17 - 36*f/17.
2*f*(f - 9)*(f - 2)*(f - 1)/17
Determine q so that -3*q**3/7 + 2409*q**2/7 = 0.
0, 803
Factor 6*k**5/7 + 102*k**4/7 + 348*k**3/7 + 492*k**2/7 + 318*k/7 + 78/7.
6*(k + 1)**4*(k + 13)/7
Find r such that 2*r**2/3 + 290*r/3 - 296 = 0.
-148, 3
Factor -2*n**4 - 32*n**3 + 310*n**2 - 276*n.
-2*n*(n - 6)*(n - 1)*(n + 23)
Solve -2*f**5 + 12*f**4 - 10*f**3 = 0.
0, 1, 5
Find s such that -15*s**5 + 534*s**4 - 5154*s**3 + 7032*s**2 - 663*s - 1734 = 0.
-2/5, 1, 17
Factor 4*w**4 + 40*w**3 - 96*w**2.
4*w**2*(w - 2)*(w + 12)
Factor 38*m**3 + 218*m**2/15 - 4*m/15.
2*m*(5*m + 2)*(57*m - 1)/15
Suppose -k**5/9 + 8*k**3/9 - 2*k**2/3 - 7*k/9 + 2/3 = 0. What is k?
-3, -1, 1, 2
Let 2*t**4/21 + 20*t**3/21 - 8*t**2/3 - 80*t/21 + 64/7 = 0. Calculate t.
-12, -2, 2
Determine m, given that -m**2/3 + 116*m/3 + 39 = 0.
-1, 117
Factor 2*o**2 - 246*o - 756.
2*(o - 126)*(o + 3)
Suppose -3*j**4/7 + 114*j**3/7 - 1188*j**2/7 + 1944*j/7 = 0. Calculate j.
0, 2, 18
Factor -3*o**2 - 378*o - 11907.
-3*(o + 63)**2
Let -h**3/7 - 2*h**2 + 15*h/7 = 0. Calculate h.
-15, 0, 1
Factor 4*s**2 + 892*s + 888.
4*(s + 1)*(s + 222)
Find b such that b**5 + 11*b**4 + 34*b**3 + 46*b**2 + 29*b + 7 = 0.
-7, -1
Factor -2*b**4 - 54*b**3 + 2*b**2 + 54*b.
-2*b*(b - 1)*(b + 1)*(b + 27)
Factor 4*a**3/3 - 4*a**2/3 - 8*a/3.
4*a*(a - 2)*(a + 1)/3
Determine g so that g**2/8 - 1/2 = 0.
-2, 2
Factor 2*l**2/3 + 314*l/3 + 700.
2*(l + 7)*(l + 150)/3
Solve -3*y**3/5 + 108*y**2/5 - 201*y + 180 = 0 for y.
1, 15, 20
Suppose 5*r**2 + 660*r + 21780 = 0. Calculate r.
-66
Factor 2*r**3/11 - 12*r**2/11 + 2*r - 12/11.
2*(r - 3)*(r - 2)*(r - 1)/11
Suppose 9*l**5 - 62*l**4 - 55*l**3 + 700*l**2 = 0. Calculate l.
-28/9, 0, 5
Factor 12*i**3 - 23*i**2 - 3*i + 2.
(i - 2)*(3*i + 1)*(4*i - 1)
Let 2*j**2/3 + 512*j/3 + 1016/3 = 0. Calculate j.
-254, -2
Determine t so that -4*t**4 - 112*t**3 + 28*t**2 + 760*t - 672 = 0.
-28, -3, 1, 2
Factor 3*k**3 + 6*k**2 - 48*k - 96.
3*(k - 4)*(k + 2)*(k + 4)
Solve 9*u**4 + 165*u**3/7 + 21*u**2 + 51*u/7 + 6/7 = 0.
-1, -1/3, -2/7
Suppose -f**2 + f + 30 = 0. Calculate f.
-5, 6
What is l in 4*l**2 - 492*l - 1000 = 0?
-2, 125
Factor w**2/4 + w - 3.
(w - 2)*(w + 6)/4
Factor -3*u**2/7 + 51*u/7 - 216/7.
-3*(u - 9)*(u - 8)/7
Find m such that -2*m**2/5 - 14*m/5 - 12/5 = 0.
-6, -1
Let -g**4/2 + 13*g**3/2 + 15*g**2/2 - 13*g/2 - 7 = 0. What is g?
-1, 1, 14
Solve -y**5/2 - 2*y**4 - y**3 + 2*y**2 + 3*y/2 = 0.
-3, -1, 0, 1
Factor -j**3/5 - 33*j**2/5 - 216*j/5 - 80.
-(j + 4)**2*(j + 25)/5
Factor 2*l**5/3 - 2*l**4 - 4*l**3 + 56*l**2/3 - 16*l.
2*l*(l - 2)**3*(l + 3)/3
Solve s**3 - 8*s**2 + 5*s + 14 = 0.
-1, 2, 7
Determine c so that 15*c**2 - 215*c - 150 = 0.
-2/3, 15
Factor -k**5 + 14*k**4 - 35*k**3 + 22*k**2.
-k**2*(k - 11)*(k - 2)*(k - 1)
Suppose 52*w**5/11 + 354*w**4/11 + 190*w**3/11 - 414*w**2/11 - 22*w + 60/11 = 0. Calculate w.
-6, -1, 5/26, 1
Factor 2*c**4/3 - 38*c**3/3 + 84*c**2 - 216*c + 144.
2*(c - 6)**3*(c - 1)/3
Find r, given that -3*r**4 + 36*r**2 + 48*r = 0.
-2, 0, 4
Factor 5*w**5 + 75*w**4 + 145*w**3 - 1035*w**2 + 810*w.
5*w*(w - 2)*(w - 1)*(w + 9)**2
Find p, given that p**3/3 + 5*p**2 - 54*p - 176/3 = 0.
-22, -1, 8
Suppose -2*v**2/21 - 416*v/21 - 21632/21 = 0. Calculate v.
-104
Solve -z**4/7 - 4184*z**3/7 - 1195*z**2 - 4182*z/7 = 0 for z.
-4182, -1, 0
Factor 338*r**3/9 - 22048*r**2/3 - 2264*r - 1568/9.
2*(r - 196)*(13*r + 2)**2/9
Solve 3*i**2/5 - 6*i - 117/5 = 0.
-3, 13
Determine z, given that 54*z**3 - 50*z**2 - 4*z = 0.
-2/27, 0, 1
Solve -5*j**5 + 85*j**4 - 475*j**3 + 935*j**2 + 60*j - 1440 = 0 for j.
-1, 3, 4, 8
Solve 3*t**3/2 + 580*t**2 + 168200*t/3 = 0 for t.
-580/3, 0
Solve -j**3/3 + 7*j**2/3 + 17*j/3 + 3 = 0.
-1, 9
Factor 2*k**3/11 - 382*k**2/11.
2*k**2*(k - 191)/11
Suppose d**4/3 + 122*d**3 + 1091*d**2/3 + 242*d = 0. What is d?
-363, -2, -1, 0
Let 2*i**5 + 178*i**4 + 516*i**3 - 8