+ 8*n**3/3 - 4*n**2/3 - 8*n/3 + 2 = 0.
-1, 1, 3
Factor -f**2 - 13*f - 42.
-(f + 6)*(f + 7)
Factor 4*w**3 - 164*w**2 + 160*w.
4*w*(w - 40)*(w - 1)
Solve -y**3 - 11*y**2 - 18*y = 0 for y.
-9, -2, 0
Let -3*b**4 + 1002*b**3 - 83667*b**2 = 0. What is b?
0, 167
Factor w**3/3 - 38*w**2/3 - w/3 + 38/3.
(w - 38)*(w - 1)*(w + 1)/3
Factor -3*x**5 - 168*x**4 - 2784*x**3 - 20304*x**2 - 68688*x - 88128.
-3*(x + 4)*(x + 6)**3*(x + 34)
Let 63*k**4/4 - 195*k**3/4 + 9*k**2/2 = 0. What is k?
0, 2/21, 3
Find n such that -3*n**4/7 - 6*n**3 - 165*n**2/7 - 18*n = 0.
-7, -6, -1, 0
Factor 9*p**2 - 759*p + 252.
3*(p - 84)*(3*p - 1)
Suppose -3*k**2 - 2082*k + 2085 = 0. Calculate k.
-695, 1
Factor -2*j**4/7 - 136*j**3/7 + 568*j**2/7 - 576*j/7.
-2*j*(j - 2)**2*(j + 72)/7
Let m**5/3 + 11*m**4/3 + 8*m**3 = 0. Calculate m.
-8, -3, 0
Find p such that p**3/6 - p**2/2 - p + 4/3 = 0.
-2, 1, 4
Determine p so that -3*p**5/4 - 3*p**4 + 45*p**3 - 255*p**2/2 + 543*p/4 - 99/2 = 0.
-11, 1, 2, 3
Factor -4*w**2 - 224*w - 832.
-4*(w + 4)*(w + 52)
Find m, given that 18*m**2 - 2770*m - 308 = 0.
-1/9, 154
Factor g**5/5 - 4*g**4/5 + 3*g**3/5 + 4*g**2/5 - 4*g/5.
g*(g - 2)**2*(g - 1)*(g + 1)/5
Let 3*s**4 + 36*s**3/7 - 75*s**2/7 + 18*s/7 = 0. What is s?
-3, 0, 2/7, 1
Factor 5*i**4 - 230*i**3 + 2865*i**2 - 11920*i + 9280.
5*(i - 29)*(i - 8)**2*(i - 1)
Let -v**2/6 - 343*v/3 - 117649/6 = 0. Calculate v.
-343
What is y in y**3/4 - 325*y**2/4 - y + 325 = 0?
-2, 2, 325
Factor -4*s**5/7 + 12*s**4 - 156*s**3/7 + 76*s**2/7.
-4*s**2*(s - 19)*(s - 1)**2/7
Solve 27*g**4 + 210*g**3 + 519*g**2 + 360*g - 108 = 0.
-3, -2, 2/9
Factor 2*t**3/9 + 14*t**2/9 - 26*t - 198.
2*(t - 11)*(t + 9)**2/9
Suppose -4*j**4 + 100*j**3 - 416*j**2 + 320*j = 0. What is j?
0, 1, 4, 20
Let 2*j**5 - 144*j**4 + 2864*j**3 - 9792*j**2 + 9248*j = 0. Calculate j.
0, 2, 34
Factor b**2 - 1338*b + 447561.
(b - 669)**2
Find r, given that -3*r**2/4 - 105*r/4 - 207 = 0.
-23, -12
Factor -4*t**4 + 88*t**3 - 628*t**2 + 1584*t - 1296.
-4*(t - 9)**2*(t - 2)**2
What is q in -2*q**2/11 - 40*q/11 + 312/11 = 0?
-26, 6
Factor 2*s**3/11 + 8*s**2/11 - 10*s + 100/11.
2*(s - 5)*(s - 1)*(s + 10)/11
What is i in -3*i**3/4 + 5*i**2/4 + 13*i/2 + 2 = 0?
-2, -1/3, 4
Factor 2366*q**4/11 + 52*q**3/11 - 152*q**2/11 - 16*q/11.
2*q*(7*q - 2)*(13*q + 2)**2/11
Let 5*x**2 - 95*x - 100 = 0. What is x?
-1, 20
Solve w**3/5 - 3373*w**2/5 + 568519*w + 2845969/5 = 0.
-1, 1687
Factor 5*t**4/2 + 120*t**3 + 1305*t**2/2 + 945*t.
5*t*(t + 3)**2*(t + 42)/2
Let 2*y**2 + 16*y - 18 = 0. What is y?
-9, 1
Suppose -3*q**4/7 + 24*q**3/7 - 39*q**2/7 + 18*q/7 = 0. Calculate q.
0, 1, 6
Suppose 2*i**2/11 + 200*i/11 + 5000/11 = 0. Calculate i.
-50
Factor h**3/5 - 201*h**2/5 - 202*h/5.
h*(h - 202)*(h + 1)/5
Determine l, given that 15*l**2/4 + 903*l/4 - 1323/2 = 0.
-63, 14/5
Solve 14*r**5 - 1076*r**4/3 + 554*r**3 - 724*r**2/3 + 32*r = 0.
0, 2/7, 1/3, 1, 24
Factor -2*y**2 + 188*y/13 - 336/13.
-2*(y - 4)*(13*y - 42)/13
Factor 3*k**5 - 15*k**4 + 3*k**3 + 63*k**2 - 54*k.
3*k*(k - 3)**2*(k - 1)*(k + 2)
Let -h**4 + 35*h**3 - 195*h**2 - 35*h + 196 = 0. Calculate h.
-1, 1, 7, 28
Factor -2*n**2 + 30*n - 88.
-2*(n - 11)*(n - 4)
Factor -2*c**4/15 - 2*c**3/15 + 4*c**2/15.
-2*c**2*(c - 1)*(c + 2)/15
Factor -3*n**4 - 15*n**3 + 39*n**2 - 21*n.
-3*n*(n - 1)**2*(n + 7)
Solve 2*t**2/17 + 24*t/17 + 22/17 = 0 for t.
-11, -1
Determine q, given that 2*q**3 - 56*q + 96 = 0.
-6, 2, 4
Solve -2*t**4/7 + 8*t**3 - 190*t**2/7 - 8*t + 192/7 = 0 for t.
-1, 1, 4, 24
Factor 6*r**2/5 + 82*r/5 - 28/5.
2*(r + 14)*(3*r - 1)/5
Solve 3*j**4/2 + 33*j**3/2 - 135*j**2 + 294*j - 204 = 0 for j.
-17, 2
Let 4*y**4/3 - 83*y**3/3 - 178*y**2/3 - 91*y/3 = 0. What is y?
-1, 0, 91/4
Find p, given that -5*p**2 + 25*p = 0.
0, 5
Let -3*c**5/2 + 57*c**4/2 - 81*c**3 - 573*c**2 + 165*c/2 + 1089/2 = 0. What is c?
-3, -1, 1, 11
Factor 2*r**3/11 + 2*r**2/11 - 112*r/11.
2*r*(r - 7)*(r + 8)/11
What is u in 2*u**4/11 - 12*u**3 + 2306*u**2/11 - 384*u + 2048/11 = 0?
1, 32
Suppose -i**5/6 - 8*i**4/3 - 34*i**3/3 - 37*i**2/3 + 23*i/2 + 15 = 0. Calculate i.
-10, -3, -1, 1
Suppose -40*n**2 - 425*n + 165 = 0. What is n?
-11, 3/8
Suppose -3*h**5 - 126*h**4 - 357*h**3 - 234*h**2 = 0. Calculate h.
-39, -2, -1, 0
Suppose -120*v**5 - 115*v**4 + 140*v**3 + 130*v**2 - 20*v - 15 = 0. What is v?
-1, -1/3, 3/8, 1
Factor -108*b**2 + 116*b - 8.
-4*(b - 1)*(27*b - 2)
Factor d**2/5 - 672*d/5 + 112896/5.
(d - 336)**2/5
Solve -45*m**2/2 - 2379*m/2 + 159 = 0 for m.
-53, 2/15
Determine b, given that 3*b**2/2 - 786*b + 102966 = 0.
262
Find p such that -20*p**3 - 312*p**2 + 468*p - 136 = 0.
-17, 2/5, 1
Factor 5*z**2/2 - 20*z.
5*z*(z - 8)/2
What is r in 3*r**3/5 + 21*r**2/5 + 24*r/5 - 48/5 = 0?
-4, 1
Find f such that 2*f**5/13 + 6*f**4/13 - 6*f**3/13 - 14*f**2/13 + 12*f/13 = 0.
-3, -2, 0, 1
Suppose 49*s**4 + 126*s**3 + 109*s**2 + 36*s + 4 = 0. What is s?
-1, -2/7
What is q in 10*q**3/13 - 888*q**2/13 + 54*q + 176/13 = 0?
-1/5, 1, 88
Solve -2*z**3/9 + 386*z**2/9 - 18430*z/9 - 18818/9 = 0 for z.
-1, 97
Suppose -2*s**2 - 632*s - 630 = 0. What is s?
-315, -1
Find l such that 2*l**5 - 24*l**4 - 2*l**3 + 24*l**2 = 0.
-1, 0, 1, 12
Find u such that -u**3 - 163*u**2/4 - 1631*u/4 + 209/2 = 0.
-22, -19, 1/4
Factor 4*n**4 + 104*n**3 - 12*n**2 - 320*n - 208.
4*(n - 2)*(n + 1)**2*(n + 26)
Find p, given that p**3 + 104*p**2 + 101*p - 206 = 0.
-103, -2, 1
Factor -5*k**2 - 310*k.
-5*k*(k + 62)
Factor -3*c**2/5 - 72*c.
-3*c*(c + 120)/5
Find x, given that -2*x**2/13 - 106*x/13 - 792/13 = 0.
-44, -9
Factor k**3/7 + 271*k**2/7 + 18495*k/7 + 18225/7.
(k + 1)*(k + 135)**2/7
Determine m so that m**3/9 + m**2/9 - 5*m/9 + 1/3 = 0.
-3, 1
Factor -27*b**3/4 - 99*b**2/4 - 57*b/4 - 9/4.
-3*(b + 3)*(3*b + 1)**2/4
Factor 196*x**3/5 + 21084*x**2/5 - 9063*x/5 + 972/5.
(x + 108)*(14*x - 3)**2/5
Let s**3/5 - 32*s**2/5 - 103*s/5 - 14 = 0. What is s?
-2, -1, 35
Factor 17*b**2 - 36*b + 4.
(b - 2)*(17*b - 2)
Factor -4*d**3/7 + 20*d**2/7 + 288*d/7 + 576/7.
-4*(d - 12)*(d + 3)*(d + 4)/7
Solve 136*i**5 - 1090*i**4 + 2328*i**3 - 1394*i**2 + 20*i = 0.
0, 1/68, 1, 2, 5
Factor m**4/10 - 39*m**3/5 + 1597*m**2/10 - 1482*m/5 + 722/5.
(m - 38)**2*(m - 1)**2/10
Determine t, given that 2*t**4/5 + 2*t**3/5 - 24*t**2/5 + 8*t/5 + 32/5 = 0.
-4, -1, 2
Factor j**5/7 - 11*j**4/7 + 39*j**3/7 - 45*j**2/7.
j**2*(j - 5)*(j - 3)**2/7
Determine t so that t**2 + 5*t = 0.
-5, 0
Factor -4*o**4 - 12*o**3 - 12*o**2 - 4*o.
-4*o*(o + 1)**3
Factor -5*a**3 - 225*a**2 + 1505*a - 1275.
-5*(a - 5)*(a - 1)*(a + 51)
Factor -20*d**2/7 + 324*d/7 - 64/7.
-4*(d - 16)*(5*d - 1)/7
Factor -2*o**2/7 - 50*o/7 + 52/7.
-2*(o - 1)*(o + 26)/7
Factor -4*i**4 + 72*i**3 - 432*i**2 + 952*i - 588.
-4*(i - 7)**2*(i - 3)*(i - 1)
Factor -2*p**2/15 - 1378*p/15 - 1376/15.
-2*(p + 1)*(p + 688)/15
What is j in -25*j**4 - 8015*j**3 - 12765*j**2 - 1585*j + 3190 = 0?
-319, -1, 2/5
Factor 2*u**3/19 - 28*u**2/19 + 26*u/19.
2*u*(u - 13)*(u - 1)/19
What is y in -9*y**5/2 - 24*y**4 + 18*y**3 = 0?
-6, 0, 2/3
Let -3*c**5 + 54*c**4/5 - 51*c**3/5 + 12*c/5 = 0. Calculate c.
-2/5, 0, 1, 2
Factor -q**2/9 + 13*q/3 - 38/9.
-(q - 38)*(q - 1)/9
Factor 8*p**4 + 456*p**3 + 6722*p**2 + 6384*p + 1568.
2*(p + 28)**2*(2*p + 1)**2
Let c**4/3 - 10*c**3/3 + 17*c**2/3 - 8*c/3 = 0. What is c?
0, 1, 8
Determine y so that -4*y**5 - 108*y**4 - 664*y**3 + 1008*y**2 + 1568*y = 0.
-14, -1, 0, 2
Suppose -u**3/3 + 4*u**2 - 47*u/3 + 20 = 0. What is u?
3, 4, 5
Factor 4*a**4 - 72*a**3 - 240*a**2 - 248*a - 84.
4*(a - 21)*(a + 1)**3
Solve -b**5/2 + 3*b**4 + 31*b**3/2 - 60*b**2 = 0 for b.
-5, 0, 3, 8
Factor -z**3/2 + z**2/2 + z.
-z*(z - 2)*(z + 1)/2
Determine r so that 8*r**3/3 - 208*r**2/9 - 74*r/9 + 2 = 0.
-1/2, 1/6, 9
Factor -18*h**3/5 + 282*h**2/5 + 80*h + 136/5.
-2*(h - 17)*(3*h + 2)**2/5
Factor -3*d**4/2 + 6*d**3.
-3*d**3*(d - 4)/2
Factor 5*p**3 - 50*p**2 + 165*p - 180.
5*(p - 4)*(p - 3)**2
Let 6*b**3 + 201*b**2/5 - 303*b/5 + 72/5 = 0. What is b?
-8, 3/10, 1
Suppose -2*f**2/11 - 274*f/11 + 276/11 = 0. What is f?
-138, 1
Factor -7*k**3/2 - 139*k**2 - 1360*k + 400.
-(k + 20)**2*(7*k - 2)/2
Determine j so that 5*j**2 - 210*j - 3575 = 0.
-13, 55
Let 15*q**3 - 760*q**2 + 495*q + 250 = 0. What is q?
-1/3, 1, 50
Let j**5 + 110*j**4 - 114*j**3 - 328*j**2 + 553*j - 222 = 0. Calculate j.
-111, -2, 1
What is f in -5*f**4 + 5*f**3 + 5*f*