+ 118*o**2/19 - 12*o/19 - 16/19 = 0.
-4, -2/7, 1
Factor k**2/5 - 48*k/5 + 287/5.
(k - 41)*(k - 7)/5
Let -k**5 - 31*k**4 + 2*k**3 + 62*k**2 - k - 31 = 0. Calculate k.
-31, -1, 1
Factor 2*f**2/7 - 1196*f/7 + 178802/7.
2*(f - 299)**2/7
Factor 5*l**3/4 - 15*l**2/2.
5*l**2*(l - 6)/4
Solve 4*p**2/7 - 92*p/7 = 0 for p.
0, 23
Factor 3*y**3 + 129*y**2 - 138*y - 264.
3*(y - 2)*(y + 1)*(y + 44)
Factor -5*i**3 - 150*i**2 - 405*i.
-5*i*(i + 3)*(i + 27)
Solve -c**3 + 65*c**2 + 134*c = 0.
-2, 0, 67
Let 2*y**3/7 + 36*y**2/7 + 162*y/7 = 0. Calculate y.
-9, 0
Let l**2 - 141*l + 2000 = 0. Calculate l.
16, 125
Suppose 2*l**4/7 + 360*l**3/7 + 17244*l**2/7 + 93960*l/7 + 136242/7 = 0. What is l?
-87, -3
Find j, given that j**4 + 4959*j**3 + 14871*j**2 + 14869*j + 4956 = 0.
-4956, -1
Solve -4*c**5 + 36*c**4 + 148*c**3 - 756*c**2 - 3024*c - 2160 = 0.
-3, -1, 6, 10
Let -r**4/2 + r**3 - r**2/2 = 0. Calculate r.
0, 1
Let 2*q**4 - 46*q**3/7 - 212*q**2/7 - 104*q/7 + 48/7 = 0. Calculate q.
-2, -1, 2/7, 6
Factor -k**4/2 + 14*k**3 - 120*k**2 + 288*k.
-k*(k - 12)**2*(k - 4)/2
Factor -5*x**4 - 75*x**3 - 60*x**2 + 140*x.
-5*x*(x - 1)*(x + 2)*(x + 14)
Factor -68*h**2 + 76*h - 8.
-4*(h - 1)*(17*h - 2)
Factor -d**3 + 18*d**2 - 60*d + 56.
-(d - 14)*(d - 2)**2
Factor 5*y**5 + 10*y**4 - 65*y**3 + 50*y**2.
5*y**2*(y - 2)*(y - 1)*(y + 5)
Factor m**4 + m**3 - 3*m**2 - m + 2.
(m - 1)**2*(m + 1)*(m + 2)
Let g**4 - 64*g**3 - 65*g**2 = 0. What is g?
-1, 0, 65
Factor -52408322*p**3 - 52449274*p**2 - 40960*p - 8.
-2*(p + 1)*(5119*p + 2)**2
Let 14*k**4 + 116*k**3 + 32*k**2 = 0. What is k?
-8, -2/7, 0
Factor -67*t**2/4 - t/2.
-t*(67*t + 2)/4
What is t in -25*t**3/4 - 175*t**2/4 - 259*t/4 - 45/4 = 0?
-5, -9/5, -1/5
Factor -3*o**3 + 45*o**2 - 81*o + 39.
-3*(o - 13)*(o - 1)**2
Factor -2*y**5/3 - 4*y**4/3 - 2*y**3/3.
-2*y**3*(y + 1)**2/3
Let 33*b**2 - 87*b + 54 = 0. What is b?
1, 18/11
Factor -5*m**4 + 10*m**3 - 10*m + 5.
-5*(m - 1)**3*(m + 1)
Suppose -4*r**5 - 52*r**4 + 1164*r**3 + 2548*r**2 - 1160*r - 2496 = 0. Calculate r.
-24, -2, -1, 1, 13
Factor 3*o**3 - 21*o**2 - 84*o - 60.
3*(o - 10)*(o + 1)*(o + 2)
Determine w, given that -18*w**4 - 1713*w**3 - 1977*w**2 - 282*w = 0.
-94, -1, -1/6, 0
Factor -4*l**4 + 216*l**3 - 3316*l**2 + 10800*l - 10000.
-4*(l - 25)**2*(l - 2)**2
Factor 3*t**2/5 + 96*t/5 + 336/5.
3*(t + 4)*(t + 28)/5
Suppose -77*p**4/4 + 95*p**3/2 - 153*p**2/4 + 11*p - 1 = 0. Calculate p.
2/11, 2/7, 1
Factor 5*a**2 - 1210*a + 73205.
5*(a - 121)**2
Find b, given that -b**5/5 - 8*b**4/5 - 3*b**3 + 8*b**2/5 + 16*b/5 = 0.
-4, -1, 0, 1
Determine o so that -o**5 + 5*o**4 - 9*o**3 + 7*o**2 - 2*o = 0.
0, 1, 2
Find q, given that -25*q**3 + 160*q**2 - 60*q = 0.
0, 2/5, 6
Factor -2*o**2/5 - 37068*o/5 - 171754578/5.
-2*(o + 9267)**2/5
Determine b, given that -b**3/6 + 13*b**2/3 + 29*b/6 - 9 = 0.
-2, 1, 27
What is d in -6*d**4 + 38*d**3 - 78*d**2 + 66*d - 20 = 0?
1, 10/3
Factor -4*p**5 + 212*p**4.
-4*p**4*(p - 53)
Factor -15*y**3/8 + 27*y**2/2.
-3*y**2*(5*y - 36)/8
Factor 2*y**2/3 + 372*y.
2*y*(y + 558)/3
Let b**3/4 + 67*b**2/4 = 0. Calculate b.
-67, 0
Determine n, given that 20*n**4 + 628*n**3 + 5053*n**2 + 1922*n = 0.
-31/2, -2/5, 0
Determine y so that 2*y**3 + 10*y**2 - 496*y - 504 = 0.
-18, -1, 14
Find t such that 21*t**5 - 132*t**4 + 204*t**3 + 78*t**2 - 225*t + 54 = 0.
-1, 2/7, 1, 3
Solve f**5/3 - 5*f**4 - 11*f**3 - 17*f**2/3 = 0.
-1, 0, 17
Let -z**3/3 - 47*z**2/3 - 30*z = 0. What is z?
-45, -2, 0
Factor -2*b**2 + 180*b - 3952.
-2*(b - 52)*(b - 38)
Solve 4*d**2/5 - 8*d/5 - 32/5 = 0 for d.
-2, 4
Solve 3*w**5 + 9*w**4 - 18*w**3 - 24*w**2 = 0 for w.
-4, -1, 0, 2
Factor 5*m**3 + 2595*m**2 + 448935*m + 25888585.
5*(m + 173)**3
Let c**3/4 - 43*c**2/2 + 559*c/4 - 237/2 = 0. Calculate c.
1, 6, 79
Factor -j**4 + 125*j**3 - 369*j**2 + 367*j - 122.
-(j - 122)*(j - 1)**3
Suppose -5*q**4 - 15*q**3 + 30*q**2 + 140*q + 120 = 0. What is q?
-2, 3
Factor 2*b**3 - 40*b**2 - 134*b - 92.
2*(b - 23)*(b + 1)*(b + 2)
What is n in 6*n**3/11 - 228*n**2/11 = 0?
0, 38
Factor 2*j**3/5 - 14*j**2 + 134*j/5 - 66/5.
2*(j - 33)*(j - 1)**2/5
Let k**5/2 + k**4/2 - 3*k**3 + k**2 + 5*k/2 - 3/2 = 0. Calculate k.
-3, -1, 1
Factor 2*o**2 - 496*o + 3840.
2*(o - 240)*(o - 8)
Determine i, given that -4*i**2/13 - 262*i/13 + 540/13 = 0.
-135/2, 2
Factor 5*m**5 + 80*m**4.
5*m**4*(m + 16)
Factor -c**2/2 - 293*c - 1749/2.
-(c + 3)*(c + 583)/2
Suppose 3*p**3 - 282*p**2 + 5355*p + 62424 = 0. What is p?
-8, 51
Factor w**5/6 - w**4/6 - 9*w**3/2 + 27*w**2/2 - 9*w.
w*(w - 3)**2*(w - 1)*(w + 6)/6
Factor 5*m**2 - 140*m + 260.
5*(m - 26)*(m - 2)
Factor 4*d**3/3 + 140*d**2 + 276*d + 412/3.
4*(d + 1)**2*(d + 103)/3
Determine f so that 4*f**2 + 1496*f + 139876 = 0.
-187
Factor -2*c**3/15 + 18*c**2/5 - 106*c/5 + 266/15.
-2*(c - 19)*(c - 7)*(c - 1)/15
Solve 2*y**2/3 + 434*y/3 = 0 for y.
-217, 0
Let -v**2 + 19*v + 20 = 0. What is v?
-1, 20
Factor 5*j**2/6 + 215*j/6 + 100.
5*(j + 3)*(j + 40)/6
Determine m, given that 12*m**5 + 136*m**4 + 124*m**3 = 0.
-31/3, -1, 0
Determine s so that 3*s**2 + 36*s - 39 = 0.
-13, 1
Factor 2*v**3 - 916*v**2 + 104882*v.
2*v*(v - 229)**2
Factor 2*m**3 - 132*m**2 + 258*m - 128.
2*(m - 64)*(m - 1)**2
Solve a**3 - 29*a**2 + 224*a - 196 = 0 for a.
1, 14
Factor 3*g**4 + g**3 - 27*g**2 - 9*g.
g*(g - 3)*(g + 3)*(3*g + 1)
Factor 2*l**3 - 160*l**2 - 8*l + 640.
2*(l - 80)*(l - 2)*(l + 2)
Factor n**5 - 15*n**4 - 113*n**3 - 261*n**2 - 248*n - 84.
(n - 21)*(n + 1)**2*(n + 2)**2
Factor 5*c**3 + 55*c**2 + 155*c + 105.
5*(c + 1)*(c + 3)*(c + 7)
Solve g**4 - 27*g**3 + 168*g**2 + 196*g = 0 for g.
-1, 0, 14
Factor -2*f**3/5 - 174*f**2 - 95046*f/5 - 94178/5.
-2*(f + 1)*(f + 217)**2/5
Factor -2*g**3/7 - 550*g**2/7 - 37536*g/7 + 38088/7.
-2*(g - 1)*(g + 138)**2/7
Factor -4*l**4 + 128*l**3 - 120*l**2 - 128*l + 124.
-4*(l - 31)*(l - 1)**2*(l + 1)
Solve 6*o**5/23 + 668*o**4/23 + 216*o**3/23 - 668*o**2/23 - 222*o/23 = 0 for o.
-111, -1, -1/3, 0, 1
Factor -2*q**2/7 + 858*q/7 - 856/7.
-2*(q - 428)*(q - 1)/7
Factor 18*n**2/7 + 123*n/7 + 90/7.
3*(n + 6)*(6*n + 5)/7
Find y such that -3*y**2 - 4221*y + 8454 = 0.
-1409, 2
Let 3*g**3 + 27*g**2 + 72*g + 48 = 0. What is g?
-4, -1
Factor 2*n**2 - 66*n + 64.
2*(n - 32)*(n - 1)
Factor 2*c**2/9 - 16*c/3.
2*c*(c - 24)/9
Let -3*f**2/4 - 25*f/2 - 8 = 0. What is f?
-16, -2/3
Factor 2*b**2 + 288*b + 10368.
2*(b + 72)**2
Find n, given that 3*n**4 + 135*n**3 + 456*n**2 - 1476*n = 0.
-41, -6, 0, 2
Suppose 5*w**3 - 190*w**2 - 820*w - 840 = 0. Calculate w.
-2, 42
Factor 3*n**3/2 + 124*n**2 - 83*n/2.
n*(n + 83)*(3*n - 1)/2
Solve -3*i**3/8 + 3*i**2/4 + 9*i/8 = 0.
-1, 0, 3
Factor 2*z**2/5 + 472*z/5 - 474/5.
2*(z - 1)*(z + 237)/5
Solve -5*w**4/6 - 40*w**3/3 + 175*w**2/6 - 15*w = 0.
-18, 0, 1
Factor -f**4 + 8*f**3 + 9*f**2 - 92*f - 140.
-(f - 7)*(f - 5)*(f + 2)**2
Let -q**2/4 + 19*q - 361 = 0. Calculate q.
38
Solve -2*g**5 - 8*g**4 + 74*g**3 - 136*g**2 + 72*g = 0 for g.
-9, 0, 1, 2
Factor -5*y**4 + 220*y**3 - 1940*y**2 - 10560*y - 11520.
-5*(y - 24)**2*(y + 2)**2
Solve -2*f**5/7 + 180*f**4/7 - 864*f**3 + 89856*f**2/7 - 497664*f/7 = 0 for f.
0, 18, 24
Factor -28*n**2/5 + 804*n/5 + 232/5.
-4*(n - 29)*(7*n + 2)/5
Let 5*i**2 + 12625*i = 0. What is i?
-2525, 0
Suppose 70*s**4 + 2*s**3 = 0. Calculate s.
-1/35, 0
Factor -14*o**2 + 60*o.
-2*o*(7*o - 30)
Factor z**2/7 + 142*z/7 - 435/7.
(z - 3)*(z + 145)/7
Solve -r**5 - 4*r**4 + r**3 + 16*r**2 + 12*r = 0.
-3, -2, -1, 0, 2
Factor -2*u**2/5 - 48*u - 702/5.
-2*(u + 3)*(u + 117)/5
Let 2*j**2/3 - 22*j + 64/3 = 0. What is j?
1, 32
Factor -3*c**2 + 477*c - 474.
-3*(c - 158)*(c - 1)
Determine w, given that 2*w**3/9 - 8*w**2/9 + 8*w/9 = 0.
0, 2
Factor -2*v**3/21 + 2*v**2/21 + 2*v - 30/7.
-2*(v - 3)**2*(v + 5)/21
Suppose -3*u**4/5 - 78*u**3 + 81*u**2 + 312*u - 1572/5 = 0. What is u?
-131, -2, 1, 2
Factor 3*y**3/4 - 105*y**2/2 + 591*y/4 + 201.
3*(y - 67)*(y - 4)*(y + 1)/4
Factor 7*p**4/4 - p**3/2 - 7*p**2/4 + p/2.
p*(p - 1)*(p + 1)*(7*p - 2)/4
Find j, given that -2*j**4 - 1104*j**3 + 3324*j**2 - 3328*j + 1110 = 0.
-555, 1
Solve 3*b**5 - 18*b**4 + 3*b**3 + 72*b**2 + 48*b = 0 for b.
-1, 0, 4
Factor -2*i**2 + 252*i + 3614.
-2*(i - 139)*(i + 13)
Find d such that 144*d**2 + 292*d + 8 = 0.
-2, -1/36
Suppose 15*x**5/8 - 3*x**4/4 - 18*x**3 + 27*x**2/4 + 81*x/8 = 0. What is x?
-3, -3/5, 0, 1, 3
Factor 8*c**