Factor -x**4/6 + x**3/2 + 3*x**2/2 + 5*x/6.
-x*(x - 5)*(x + 1)**2/6
Find h such that 5*h**3 - 45*h**2 - 110*h = 0.
-2, 0, 11
Suppose -4*z**4 - 56*z**3 + 196*z**2 - 136*z = 0. Calculate z.
-17, 0, 1, 2
Find g, given that g**4/2 - 3*g**3/2 + 2*g = 0.
-1, 0, 2
Solve 2*y**2/7 - 480*y/7 + 136 = 0 for y.
2, 238
Factor 32*q**2/5 - 61*q/5 - 6/5.
(q - 2)*(32*q + 3)/5
Factor 3*b**2 - 39468*b + 129810252.
3*(b - 6578)**2
Determine t so that t**5 - 10*t**4 + 30*t**3 - 40*t**2 + 25*t - 6 = 0.
1, 6
What is i in 10*i**5 + 255*i**4 - 135*i**3 - 130*i**2 = 0?
-26, -1/2, 0, 1
Solve -4*r**2 - 148*r = 0 for r.
-37, 0
Find i such that -4*i**2 + 100 = 0.
-5, 5
Suppose 29645*q**3 + 20405*q**2 - 8520*q + 720 = 0. What is q?
-1, 12/77
Factor 2*l**2 - 1394*l - 1396.
2*(l - 698)*(l + 1)
Factor v**5/4 - v**4/4.
v**4*(v - 1)/4
Factor -5*y**3 - 20*y**2 - 20*y.
-5*y*(y + 2)**2
Factor 3*g**4/2 + 120*g**3 + 3012*g**2 + 24480*g + 62424.
3*(g + 6)**2*(g + 34)**2/2
Factor c**2/11 + 41*c/11 - 42/11.
(c - 1)*(c + 42)/11
Find a such that -20*a**3/3 + 65*a**2 + 90*a + 55/3 = 0.
-1, -1/4, 11
Determine u, given that 5*u**3 - 225*u**2 - 230*u = 0.
-1, 0, 46
What is h in h**5/2 + 13*h**4 - 343*h**3/2 + 302*h**2 - 144*h = 0?
-36, 0, 1, 8
Solve 5*r**3 - 2005*r**2 - 4030*r = 0 for r.
-2, 0, 403
Determine q so that 3*q**5 + 9*q**4 - 9*q**3 - 21*q**2 + 18*q = 0.
-3, -2, 0, 1
Factor l**3 + 11*l**2 + 8*l - 20.
(l - 1)*(l + 2)*(l + 10)
Factor -2*l**2/21 - 22*l/7 - 64/21.
-2*(l + 1)*(l + 32)/21
Factor -4*x**3 + 20*x**2 - 28*x + 12.
-4*(x - 3)*(x - 1)**2
Find z such that -3*z**5 - 30*z**4 + 75*z**3 + 30*z**2 - 72*z = 0.
-12, -1, 0, 1, 2
Factor -2*p**3/9 - 1322*p**2/9 + 3980*p/9 - 2656/9.
-2*(p - 2)*(p - 1)*(p + 664)/9
Let -88*f**2 + 508*f + 120 = 0. Calculate f.
-5/22, 6
Let -2*d**4/19 - 10*d**3/19 + 34*d**2/19 + 42*d/19 = 0. Calculate d.
-7, -1, 0, 3
Determine h so that -4*h**3/5 + 12*h**2 + 672*h/5 - 10192/5 = 0.
-13, 14
Determine g so that 2*g**3/7 - 36*g**2/7 + 166*g/7 - 132/7 = 0.
1, 6, 11
Factor 2*q**4 + 40*q**3 - 150*q**2 - 4500*q.
2*q*(q - 10)*(q + 15)**2
Factor -2*z**5/11 - 2*z**4/11 + 4*z**3/11.
-2*z**3*(z - 1)*(z + 2)/11
Factor -5*q**3 + 815*q**2 - 1615*q + 805.
-5*(q - 161)*(q - 1)**2
Let a**4/4 - 9*a**3/4 + 13*a**2/4 + 9*a/4 - 7/2 = 0. What is a?
-1, 1, 2, 7
Factor 2*n**2 + 34*n + 32.
2*(n + 1)*(n + 16)
Let 2*y**5 - 10*y**4 + 6*y**3 + 10*y**2 - 8*y = 0. Calculate y.
-1, 0, 1, 4
Suppose -3*s**5/8 + 33*s**4/4 + 351*s**3/2 + 1893*s**2/4 + 3639*s/8 + 297/2 = 0. What is s?
-11, -1, 36
Factor 2*k**5/13 + 20*k**4/13 + 74*k**3/13 + 120*k**2/13 + 72*k/13.
2*k*(k + 2)**2*(k + 3)**2/13
Factor w**3 - 211*w - 210.
(w - 15)*(w + 1)*(w + 14)
Factor -3*x**4/5 - 450*x**3 + 13572*x**2/5 - 27192*x/5 + 18144/5.
-3*(x - 2)**3*(x + 756)/5
Find z such that 4*z**3/5 - 328*z**2/5 + 6384*z/5 + 14112/5 = 0.
-2, 42
Let -3*m**3/5 + 1227*m**2/5 - 9672*m/5 + 19248/5 = 0. Calculate m.
4, 401
Factor -y**2 - 3*y + 18.
-(y - 3)*(y + 6)
Factor -5*g**2 - 26570*g - 35298245.
-5*(g + 2657)**2
Let 2*m**5/15 - 8*m**4/15 + 8*m**3/15 = 0. Calculate m.
0, 2
Factor -m**3/10 + 29*m**2/10 + 137*m/10 - 33/2.
-(m - 33)*(m - 1)*(m + 5)/10
Factor 2*p**2 - 68*p.
2*p*(p - 34)
Factor w**4 + 5*w**3/3 - 47*w**2/3 - 31*w + 12.
(w - 4)*(w + 3)**2*(3*w - 1)/3
Suppose -6*t**5/11 + 26*t**4/11 + 150*t**3/11 + 18*t**2 + 80*t/11 = 0. Calculate t.
-5/3, -1, 0, 8
Factor -d**4/2 - 108*d**3 - 5723*d**2 + 11772*d - 11881/2.
-(d - 1)**2*(d + 109)**2/2
Factor -6*s**4/11 + 8*s**3/11 - 2*s**2/11.
-2*s**2*(s - 1)*(3*s - 1)/11
Let 3*o**5/2 + 83*o**4/2 + 1411*o**3/6 - 4249*o**2/6 + 580*o - 150 = 0. Calculate o.
-15, 2/3, 1
Suppose -16*k**2/9 + 52*k/9 - 4/3 = 0. Calculate k.
1/4, 3
Factor -h**3/6 - 37*h**2/3 - 1369*h/6.
-h*(h + 37)**2/6
Determine l, given that 3*l**2/2 + 1369*l/4 + 57 = 0.
-228, -1/6
Solve -3*w**5 - 12*w**4 - 9*w**3 + 12*w**2 + 12*w = 0.
-2, -1, 0, 1
Factor -f**3/2 - 13*f**2/2 - 22*f - 16.
-(f + 1)*(f + 4)*(f + 8)/2
Factor -5*d**3 + 90*d**2 + 420*d + 440.
-5*(d - 22)*(d + 2)**2
Let 21*o**2 + 498*o - 144 = 0. Calculate o.
-24, 2/7
Factor -o**3/2 + 127*o**2/2 - 4095*o/2 + 3969/2.
-(o - 63)**2*(o - 1)/2
Solve y**3/5 - 21*y**2 + 2703*y/5 + 2809/5 = 0.
-1, 53
Factor -y**4 - 10*y**3 - 23*y**2 - 14*y.
-y*(y + 1)*(y + 2)*(y + 7)
Find l such that -2*l**2/19 + 2348*l/19 - 689138/19 = 0.
587
Determine n so that 36*n**4 + 160*n**3 + 1888*n**2/9 + 640*n/9 + 64/9 = 0.
-2, -2/9
Factor 9*r**4/4 - 30*r**3 - 21*r**2.
3*r**2*(r - 14)*(3*r + 2)/4
Factor 2*u**4/3 + 16*u**3/3 + 10*u**2/3 - 28*u/3.
2*u*(u - 1)*(u + 2)*(u + 7)/3
What is u in -2*u**2/9 + 8*u/9 - 2/3 = 0?
1, 3
Suppose -u**3/11 - 24*u**2/11 + 972*u/11 - 1840/11 = 0. Calculate u.
-46, 2, 20
Factor 2*w**5/5 + 4*w**4 + 48*w**3/5 - 64*w**2/5 - 256*w/5.
2*w*(w - 2)*(w + 4)**3/5
What is t in 53138*t**2/3 + 652*t/3 + 2/3 = 0?
-1/163
Factor 85*u**4 - 405*u**3 + 240*u**2 + 80*u.
5*u*(u - 4)*(u - 1)*(17*u + 4)
Suppose -169*r**4/4 + 299*r**3/2 - 789*r**2/4 + 115*r - 25 = 0. Calculate r.
10/13, 1
Suppose -484*c**3 + 1892*c**2 + 9316*c + 8092 = 0. Calculate c.
-17/11, 7
Let n**5/4 - 237*n**4/4 + 59*n**3 = 0. What is n?
0, 1, 236
Find w such that 2*w**4/3 - 56*w**3/3 + 130*w**2 + 56*w/3 - 392/3 = 0.
-1, 1, 14
Find b such that 2*b**4/7 - 38*b**3/7 + 166*b**2/7 - 130*b/7 = 0.
0, 1, 5, 13
Find d such that 4*d**3 + 268*d**2 - 1716*d + 2628 = 0.
-73, 3
Let 5*p**5 - 120*p**4 + 105*p**3 + 230*p**2 = 0. What is p?
-1, 0, 2, 23
Suppose 4*t**5 + 98*t**4 + 224*t**3 + 88*t**2 = 0. What is t?
-22, -2, -1/2, 0
Factor -2*f**3/9 + 2*f**2/9 + 16*f/9 - 8/3.
-2*(f - 2)**2*(f + 3)/9
Factor 5043*l**3/4 - 1353*l**2/2 + 363*l/4.
3*l*(41*l - 11)**2/4
Determine f so that -4*f**2 - 316*f - 312 = 0.
-78, -1
Factor 3*o**2/4 - 117*o/4 + 105.
3*(o - 35)*(o - 4)/4
Factor -2*w**2/3 + 46*w/3 + 100/3.
-2*(w - 25)*(w + 2)/3
Find k, given that 2*k**5/7 + 142*k**4/7 + 2448*k**3/7 - 2592*k**2/7 = 0.
-36, 0, 1
Suppose 3*r**4 + 41*r**3 + 166*r**2 + 156*r - 72 = 0. Calculate r.
-6, -2, 1/3
What is k in 3*k**4/2 - 45*k**3 + 234*k**2 - 444*k + 288 = 0?
2, 24
What is r in -r**2/4 + 73*r - 5329 = 0?
146
Let 2*l**4 - 20*l**3 + 50*l**2 = 0. What is l?
0, 5
Factor -4*i**4 - 320*i**3 + 324*i**2.
-4*i**2*(i - 1)*(i + 81)
Find c, given that 2*c**3/5 - 28*c**2/5 - 62*c/5 - 32/5 = 0.
-1, 16
Factor -z**2 + 372*z - 34596.
-(z - 186)**2
Factor -i**3/2 - 13*i**2/2.
-i**2*(i + 13)/2
Factor 4*j**2 - 376*j + 372.
4*(j - 93)*(j - 1)
Factor 4*p**3 + 8*p**2 - 12*p.
4*p*(p - 1)*(p + 3)
Solve 2*q**3 - 928*q**2 - 930*q = 0.
-1, 0, 465
Determine r so that 4*r**2 + 72*r - 76 = 0.
-19, 1
Factor 4*d**2 - 236*d - 744.
4*(d - 62)*(d + 3)
Determine l so that 21*l**4 + 277*l**3/8 - 117*l**2/8 + l/4 = 0.
-2, 0, 1/56, 1/3
Factor 12*d**2 - 3*d - 9.
3*(d - 1)*(4*d + 3)
Factor 3*v**2 + 690*v - 693.
3*(v - 1)*(v + 231)
Factor 3*z**3 + 24*z**2 + 21*z.
3*z*(z + 1)*(z + 7)
Factor -t**3/2 + 2437*t**2/2 - 1218*t.
-t*(t - 2436)*(t - 1)/2
Factor -65*l**2 - 10150*l - 1560.
-5*(l + 156)*(13*l + 2)
What is j in 4*j**2 - 536*j + 532 = 0?
1, 133
Factor -2*k**3 - 1780*k**2 - 396050*k.
-2*k*(k + 445)**2
What is h in 3*h**5 + 123*h**4 + 1194*h**3 - 1446*h**2 - 1197*h + 1323 = 0?
-21, -1, 1
Factor 49*n**4/3 - 77*n**3/3 + 37*n**2/12 + 11*n/2 + 3/4.
(n - 1)**2*(14*n + 3)**2/12
Factor -2*g**2/3 - 8*g/3 + 8.
-2*(g - 2)*(g + 6)/3
Factor -o**3/2 + 178*o**2 - 1761*o/2 + 1053.
-(o - 351)*(o - 3)*(o - 2)/2
Factor -2*p**4/9 + 4*p**3/9 + 2*p**2/9 - 4*p/9.
-2*p*(p - 2)*(p - 1)*(p + 1)/9
Suppose q**5 + 11*q**4/5 - 13*q**3/5 - 23*q**2/5 + 16*q/5 + 4/5 = 0. Calculate q.
-2, -1/5, 1
Factor 4*a**2/7 - 488*a/7 + 14884/7.
4*(a - 61)**2/7
Factor -i**2/5 - 2*i - 9/5.
-(i + 1)*(i + 9)/5
Solve l**3 + 122*l**2 - 247*l + 124 = 0.
-124, 1
Factor -5*k**4 - 195*k**3 - 1050*k**2 - 2020*k - 1320.
-5*(k + 2)**3*(k + 33)
What is i in 2*i**4/5 + 42*i**3/5 + 194*i**2/5 - 42*i/5 - 196/5 = 0?
-14, -7, -1, 1
Suppose 9*v**3 + 1114*v**2 + 34348*v - 7688 = 0. What is v?
-62, 2/9
Let 2*o**3/17 + 12*o**2/17 - 30*o/17 + 16/17 = 0. What is o?
-8, 1
Factor 750*s**3 - 11825*s**2 - 4820*s - 485.
5*(5*s + 1)**2*(6*s - 97)
Factor 4*x**5 + 56*x**4 + 132*x**3 - 448*x**2 + 256*x.
4*x*(x - 1)**2*(x + 8)**2
Solve -4*x**4 + 76*x**3 - 108*x**2 - 460*x - 272 = 0.
-1, 4, 17
Let -4*i**3 - 224*i**2 - 212*i + 440 = 0. Calculate i.
-55, -2, 1
Let b**3/2 + 13*b**2/2 