
(o + 1)**2*(o + 32)**3/3
Factor -4*i**2 - 560*i - 1104.
-4*(i + 2)*(i + 138)
Determine b, given that 3*b**2 + 129*b + 246 = 0.
-41, -2
Factor 22*h**2 - 2*h - 24.
2*(h + 1)*(11*h - 12)
Suppose 4*o**4 + 544*o**3 + 3168*o**2 + 6272*o + 4160 = 0. What is o?
-130, -2
Let -2*a**2 - 780*a + 5558 = 0. What is a?
-397, 7
Suppose -x**2 - 115*x - 226 = 0. What is x?
-113, -2
Factor -s**3/3 + 37*s**2/3 - 70*s/3.
-s*(s - 35)*(s - 2)/3
Find q, given that -3*q**4 - 129*q**3 + 597*q**2 + 1569*q + 846 = 0.
-47, -1, 6
Factor n**5 + 2*n**4 - 7*n**3 + 4*n**2.
n**2*(n - 1)**2*(n + 4)
Factor n**2/5 + 243*n/5 + 242/5.
(n + 1)*(n + 242)/5
Let 4*l**5/5 - 3*l**4 + 4*l**3/5 + 18*l**2/5 - 8*l/5 - 3/5 = 0. What is l?
-1, -1/4, 1, 3
Solve 3*y**3 + 24*y**2 + 15*y - 150 = 0 for y.
-5, 2
Determine n so that -3*n**2/4 - 3*n + 45 = 0.
-10, 6
Suppose k**2 + 33*k - 34 = 0. What is k?
-34, 1
Factor -2*x**5 - 12*x**4 - 16*x**3 + 4*x**2 + 18*x + 8.
-2*(x - 1)*(x + 1)**3*(x + 4)
Factor -d**3 + 1029*d**2 - 352947*d + 40353607.
-(d - 343)**3
Suppose -2*y**4/3 - 256*y**3 - 1520*y**2 - 9088*y/3 - 2016 = 0. Calculate y.
-378, -2
Find h such that 2*h**3/9 - 424*h**2/9 - 1720*h/9 - 192 = 0.
-2, 216
Find a, given that 3*a**3/4 + 273*a**2/2 + 537*a + 534 = 0.
-178, -2
Find u such that 4*u**4 + 124*u**3 - 48*u**2 - 1552*u - 1984 = 0.
-31, -2, 4
What is c in -3*c**2/7 - 20064*c/7 - 33547008/7 = 0?
-3344
Solve -2*u**3 + 18*u**2 - 40*u + 24 = 0 for u.
1, 2, 6
Factor -7*x**3/5 + 8*x**2 + 61*x/5 + 14/5.
-(x - 7)*(x + 1)*(7*x + 2)/5
Factor 4*l**2/7 - 20*l/7 + 16/7.
4*(l - 4)*(l - 1)/7
Solve 2*z**2/9 - 420*z - 7568/9 = 0 for z.
-2, 1892
Factor -3*t**2 + 6*t + 24.
-3*(t - 4)*(t + 2)
Factor -2*j**3/9 - 706*j**2/9 - 2798*j/9 - 698/3.
-2*(j + 1)*(j + 3)*(j + 349)/9
Factor k**5 + 36*k**4 - 226*k**3 - 884*k**2 - 951*k - 328.
(k - 8)*(k + 1)**3*(k + 41)
Factor j**4/4 - 17*j**3/4 + 21*j**2/2.
j**2*(j - 14)*(j - 3)/4
Let -5*w**2 - 30710*w - 30705 = 0. What is w?
-6141, -1
Suppose -j**3/2 - 747*j**2/8 - 557*j/8 + 93/4 = 0. What is j?
-186, -1, 1/4
Factor -4*d**5 + 84*d**4 - 228*d**3 + 220*d**2 - 72*d.
-4*d*(d - 18)*(d - 1)**3
Determine w so that w**3/6 - 6*w**2 - 37*w/6 = 0.
-1, 0, 37
Find w such that -5*w**3 + 55*w**2 + 70*w - 120 = 0.
-2, 1, 12
Suppose -g**3/6 - 15*g**2 + 277*g/6 - 31 = 0. Calculate g.
-93, 1, 2
Factor -24*r**2/5 - 7*r/5.
-r*(24*r + 7)/5
Suppose 5*g**4 + 35*g**3 + 55*g**2 + 25*g = 0. What is g?
-5, -1, 0
Factor 4*q**2 - 2394*q + 1196.
2*(q - 598)*(2*q - 1)
Factor -x**2/3 + 7*x/3.
-x*(x - 7)/3
Factor 3*a**3 + 36*a**2 + 108*a.
3*a*(a + 6)**2
Factor 128*q**5 + 672*q**4 + 600*q**3 - 722*q**2 + 204*q - 18.
2*(q + 3)**2*(4*q - 1)**3
Let 2*z**5 - 29*z**4 + 107*z**3 + 120*z**2 - 900*z = 0. Calculate z.
-5/2, 0, 5, 6
Find m, given that -2*m**2/5 + 112*m/5 + 882/5 = 0.
-7, 63
Factor 2*j**2/5 + 404*j/5.
2*j*(j + 202)/5
Find m, given that 2*m**3/23 + 20*m**2/23 + 6*m/23 - 108/23 = 0.
-9, -3, 2
Factor -3*n**2/2 + 1911*n - 1217307/2.
-3*(n - 637)**2/2
Suppose -4*m**2/3 + 272*m - 13872 = 0. What is m?
102
Factor 24*y**5/7 - 10*y**4 - 6*y**3/7.
2*y**3*(y - 3)*(12*y + 1)/7
Determine t, given that -5*t**3 + 10*t**2 + 35*t + 20 = 0.
-1, 4
Factor -2*o**2/5 - 112*o/5 - 1568/5.
-2*(o + 28)**2/5
Find h, given that -150*h**5 + 630*h**4 - 882*h**3 + 2058*h**2/5 = 0.
0, 7/5
Find q such that -4*q**5 + 54*q**4 - 23*q**3 - 83*q**2/2 + 33*q - 13/2 = 0.
-1, 1/2, 13
Factor 5*a**2/4 + 7965*a/2 + 12688245/4.
5*(a + 1593)**2/4
Factor 5*j**3 - 575*j**2 + 16815*j - 16245.
5*(j - 57)**2*(j - 1)
Factor 4*s**2 - 964*s - 2928.
4*(s - 244)*(s + 3)
Factor -16*a**3/3 + 4*a**2/3 + 104*a/3 + 28.
-4*(a - 3)*(a + 1)*(4*a + 7)/3
Factor c**5/7 - 145*c**4 + 257048*c**3/7 + 258064*c**2/7.
c**2*(c - 508)**2*(c + 1)/7
Let -2*b**4 + 4*b**3 + 2*b**2 - 4*b = 0. What is b?
-1, 0, 1, 2
Factor -i**5/4 + 3*i**4/4 - i**3/2.
-i**3*(i - 2)*(i - 1)/4
Factor 2*x**2/3 + 38*x/3 - 28.
2*(x - 2)*(x + 21)/3
Factor 5*o**2 - 395*o + 390.
5*(o - 78)*(o - 1)
Suppose -2*b**3 - 274*b**2 = 0. What is b?
-137, 0
Factor g**3 - 196*g**2 - 595*g - 398.
(g - 199)*(g + 1)*(g + 2)
Determine s, given that 6*s**5 - 185*s**4 + 857*s**3 + 9004*s**2 + 9252*s + 1296 = 0.
-4, -1, -1/6, 18
Factor 18*q**4 - 177*q**3 + 276*q**2 - 93*q - 24.
3*(q - 8)*(q - 1)**2*(6*q + 1)
Find b, given that b**3 - 632*b**2 + 99856*b = 0.
0, 316
Solve -3*t**5 - 39*t**4 - 15*t**3 + 255*t**2 + 18*t - 216 = 0.
-12, -3, -1, 1, 2
Solve 8*u**3 - 70*u**2 + 94*u + 28 = 0 for u.
-1/4, 2, 7
Factor 3*p**2/2 + 122*p - 82.
(p + 82)*(3*p - 2)/2
Factor 3*v**3 - 135*v**2 + 261*v - 129.
3*(v - 43)*(v - 1)**2
Factor 2*c**2/13 + 54*c/13 - 56/13.
2*(c - 1)*(c + 28)/13
Suppose 2*m**5 + 18*m**4 + 22*m**3 - 50*m**2 - 48*m + 56 = 0. What is m?
-7, -2, 1
Solve -4*r**5/11 - 2*r**4/11 + 14*r**3/11 - 2*r**2/11 - 10*r/11 + 4/11 = 0.
-2, -1, 1/2, 1
Factor -2*x**4 + 10*x**3 + 2*x**2 - 10*x.
-2*x*(x - 5)*(x - 1)*(x + 1)
Factor 2*w**3 - 328*w**2 + 15914*w - 191844.
2*(w - 73)**2*(w - 18)
Suppose a**2/5 - 14*a/5 - 3 = 0. What is a?
-1, 15
Find a such that 2*a**3/9 - 418*a**2/9 + 416*a/9 = 0.
0, 1, 208
What is j in -2*j**2/9 + 34*j/9 - 32/9 = 0?
1, 16
Factor 3*o**2 - 153*o + 1950.
3*(o - 26)*(o - 25)
Factor -4*d**5/5 + 52*d**4/5 - 256*d**3/5 + 608*d**2/5 - 704*d/5 + 64.
-4*(d - 5)*(d - 2)**4/5
Find h, given that 6*h**4 - 201*h**3/5 + 234*h**2/5 + 111*h/5 - 6 = 0.
-1/2, 1/5, 2, 5
Factor -3*z**2 + 48*z - 45.
-3*(z - 15)*(z - 1)
Suppose -i**2 + 38*i = 0. What is i?
0, 38
Factor 5*o**4 - 120*o**3 + 830*o**2 - 1320*o + 605.
5*(o - 11)**2*(o - 1)**2
Find u, given that -u**5/4 - 109*u**4/4 - 1108*u**3 - 20089*u**2 - 142912*u - 123904 = 0.
-32, -22, -1
Factor -d**4/5 + 119*d**3/5 - 936*d**2 + 11840*d + 12800.
-(d - 40)**3*(d + 1)/5
Factor -15*o**2 + 310*o - 200.
-5*(o - 20)*(3*o - 2)
Factor h**4/4 - 4*h**3 + 37*h**2/2 - 14*h - 147/4.
(h - 7)**2*(h - 3)*(h + 1)/4
Factor y**4/8 + 3*y**3/8 - 25*y**2/8 - 75*y/8.
y*(y - 5)*(y + 3)*(y + 5)/8
Factor 6*a**3/11 - 84*a**2/11 + 342*a/11 - 432/11.
6*(a - 8)*(a - 3)**2/11
Factor -35*n**2 + 590*n + 85.
-5*(n - 17)*(7*n + 1)
Find y such that -2*y**3 + 16*y**2 - 14*y = 0.
0, 1, 7
Suppose 8*o**5 + 148*o**4 + 436*o**3 + 212*o**2 - 444*o - 360 = 0. Calculate o.
-15, -2, -3/2, -1, 1
Let 201*n**2/5 + 2016*n/5 + 12 = 0. Calculate n.
-10, -2/67
Find p, given that p**5 - 7*p**4 + 11*p**3 - 5*p**2 = 0.
0, 1, 5
Factor s**2 - 60*s - 61.
(s - 61)*(s + 1)
Find a, given that 5*a**3 + 95*a**2 - 5*a - 95 = 0.
-19, -1, 1
Determine v so that v**4 + 234*v**3 + 13905*v**2 + 23432*v - 201840 = 0.
-116, -5, 3
Factor -p**4 - p**3 + 5*p**2 - 3*p.
-p*(p - 1)**2*(p + 3)
Solve -g**4/5 - g**3/5 + 3*g**2/5 + g + 2/5 = 0 for g.
-1, 2
Factor h**3/2 - 2*h.
h*(h - 2)*(h + 2)/2
Solve -4*t**3 + 228*t**2 - 3564*t + 8748 = 0.
3, 27
Find c such that -20*c**3 - 84*c**2 - 76*c - 12 = 0.
-3, -1, -1/5
Find j, given that -1566*j**4/5 + 414*j**3 - 672*j**2/5 - 8*j/5 = 0.
-1/87, 0, 2/3
Factor 2*a**3/11 + 18*a**2/11 + 4*a/11 - 96/11.
2*(a - 2)*(a + 3)*(a + 8)/11
What is l in l**3 + 19*l**2 - 42*l = 0?
-21, 0, 2
Determine t, given that -3*t**2/2 - 210*t - 414 = 0.
-138, -2
Factor -169*z**3/4 + 4875*z**2/2 + 753*z + 58.
-(z - 58)*(13*z + 2)**2/4
Solve 2*t**4/9 + 58*t**3/9 = 0 for t.
-29, 0
Suppose 2*v**2/21 - 32*v/21 + 8/3 = 0. What is v?
2, 14
Solve -18*y**4 - 186*y**3 - 374*y**2 + 578*y = 0 for y.
-17/3, 0, 1
Factor 2*y**2 - 764*y + 72962.
2*(y - 191)**2
Solve 9*n**5/7 + 51*n**4/7 + 85*n**3/7 + 41*n**2/7 + 6*n/7 = 0.
-3, -2, -1/3, 0
Factor s**2/2 - 216*s + 23328.
(s - 216)**2/2
Find f, given that f**4/3 + 10*f**3/3 + 8*f**2 + 22*f/3 + 7/3 = 0.
-7, -1
Factor -3*w**3/5 - 414*w**2/5 - 19008*w/5 - 58080.
-3*(w + 44)**2*(w + 50)/5
Solve 3*i**4 - 6*i**3 - 45*i**2 + 96*i - 48 = 0 for i.
-4, 1, 4
Factor v**3/7 + 24*v**2/7 + 27*v + 486/7.
(v + 6)*(v + 9)**2/7
Factor h**4/2 - 13*h**3/2 - 32*h**2 - 34*h.
h*(h - 17)*(h + 2)**2/2
Factor -r**2/3 - 103*r + 2212/3.
-(r - 7)*(r + 316)/3
Factor 4*s**4 + 32*s**3 - 124*s**2 + 88*s.
4*s*(s - 2)*(s - 1)*(s + 11)
What is i in -3*i**4/2 - 53*i**3 - 681*i**2/2 - 73*i + 216 = 0?
-27, -8, -1, 2/3
Factor 2*y**3/11 - 2*y**2 + 52*y/11 - 32/11.
2*(y - 8)*(y - 2)*(y - 1)/11
Factor -q**4/2 - 9*q**3/2 - 29*q**2/2 - 39*q/2 - 9.
-(q + 1)*(q + 2)*(q + 3)**2/2
Factor 3*g**5/5 - 6*g**4/5 - 36*g**3/5 - 42*g**2/5 - 3*g.
3*g*(g - 5)*(g + 1)*