40*n - 7552/5 = 0. What is n?
-944, -1, 2/5
Factor g**3 + 68*g**2 + 1200*g + 6336.
(g + 12)**2*(g + 44)
Factor -5*h**2 + 100*h - 375.
-5*(h - 15)*(h - 5)
Find c, given that 2*c**4/9 - 2*c**3 - 8*c**2/3 + 40*c/9 = 0.
-2, 0, 1, 10
Let 10*j**2/7 + 66*j/7 - 4 = 0. What is j?
-7, 2/5
Determine f, given that -2*f**2/11 + 2*f/11 + 144/11 = 0.
-8, 9
Find z such that -z**3/3 - 144*z**2 - 287*z - 430/3 = 0.
-430, -1
Suppose 5*k**3 - 140*k**2 + 1200*k - 2880 = 0. Calculate k.
4, 12
Factor -3*r**3/2 - 9*r**2/2 - 9*r/2 - 3/2.
-3*(r + 1)**3/2
Let 6*o**3/7 + 486*o**2/7 + 5184*o/7 + 14904/7 = 0. Calculate o.
-69, -6
Determine r so that 2*r**4/13 + 116*r**3/13 + 112*r**2/13 - 116*r/13 - 114/13 = 0.
-57, -1, 1
Let -4*f**3 + 48*f**2 - 108*f = 0. What is f?
0, 3, 9
Factor -3*t**3/2 - 33*t**2/2 - 69*t/2 + 105/2.
-3*(t - 1)*(t + 5)*(t + 7)/2
Suppose -u**4/4 - 223*u**3/4 - 1093*u**2/4 - 645*u/4 + 981/2 = 0. Calculate u.
-218, -3, 1
Let 2*g**3/9 - 38*g**2/9 - 94*g/3 - 50 = 0. Calculate g.
-3, 25
Factor 5*y**2 + 90*y - 575.
5*(y - 5)*(y + 23)
Factor -2*w**2 + 16*w + 18.
-2*(w - 9)*(w + 1)
What is r in -r**3/5 - 27*r**2/5 - 168*r/5 + 196/5 = 0?
-14, 1
Factor 8*w**3/5 + 106*w**2/5 + 26*w/5.
2*w*(w + 13)*(4*w + 1)/5
Factor 5*t**4 - 70*t**3 + 60*t**2 + 70*t - 65.
5*(t - 13)*(t - 1)**2*(t + 1)
Factor -k**3/2 + 249*k**2 + 499*k/2.
-k*(k - 499)*(k + 1)/2
Factor 3*q**4 + 108*q**3 + 1071*q**2 + 1734*q.
3*q*(q + 2)*(q + 17)**2
Find l such that -2*l**5/5 - 48*l**4/5 + 162*l**3/5 = 0.
-27, 0, 3
Factor 5*y**3 + 230*y**2 - 475*y + 240.
5*(y - 1)**2*(y + 48)
Factor 4*q**3 + 4*q**2.
4*q**2*(q + 1)
Suppose -w**2/2 - 9*w/2 - 7 = 0. What is w?
-7, -2
What is k in -20*k**5 + 2*k**4 + 24*k**3 - 2*k**2 - 4*k = 0?
-1, -2/5, 0, 1/2, 1
Find f such that -10*f**4/19 + 366*f**3/19 - 3452*f**2/19 + 1800*f/19 + 1296/19 = 0.
-2/5, 1, 18
Factor 48*y**2 - 76*y + 28.
4*(y - 1)*(12*y - 7)
Solve -4*y**5/5 - 52*y**4/5 + 408*y**3/5 - 176*y**2 + 608*y/5 = 0.
-19, 0, 2
Factor 5*p**2 + 1765*p + 1760.
5*(p + 1)*(p + 352)
Factor -d**4 - 122*d**3 - 3333*d**2 + 23936*d - 20480.
-(d - 5)*(d - 1)*(d + 64)**2
What is w in w**3/3 - 34*w**2/3 + 124*w/3 - 40 = 0?
2, 30
Factor -2*x**2/15 - 22*x/15 - 56/15.
-2*(x + 4)*(x + 7)/15
Solve 256*y**4 - 448*y**3 + 176*y**2 - 20*y = 0.
0, 1/4, 5/4
What is p in 2*p**2 - 152*p + 2888 = 0?
38
Factor 4*n**4/5 + 20*n**3 - 1584*n**2/5 + 6848*n/5 - 9472/5.
4*(n - 4)**3*(n + 37)/5
Factor -s**4 + 10*s**3 + 39*s**2 + 4*s - 52.
-(s - 13)*(s - 1)*(s + 2)**2
Solve a**4 - 72*a**2 + 1296 = 0 for a.
-6, 6
Factor 3*s**2/4 + 339*s/4 - 726.
3*(s - 8)*(s + 121)/4
Factor 3*a**2 - 39*a - 90.
3*(a - 15)*(a + 2)
Determine x, given that 5*x**5/4 - 21*x**4/2 + 121*x**3/4 - 38*x**2 + 21*x - 4 = 0.
2/5, 1, 2, 4
Factor -l**3 + 11*l**2 - 15*l - 27.
-(l - 9)*(l - 3)*(l + 1)
Factor -2*g**5/9 + 536*g**4/9 - 47522*g**3/9 + 151260*g**2 + 318600*g + 162000.
-2*(g - 90)**3*(g + 1)**2/9
What is z in -55*z**2 - 10*z + 45 = 0?
-1, 9/11
Factor -d**4/3 + 3*d**3 - 8*d**2/3.
-d**2*(d - 8)*(d - 1)/3
Let 4*q**3 + 144*q**2 + 1296*q + 3456 = 0. Calculate q.
-24, -6
Factor -4*s**2 - 2552*s - 407044.
-4*(s + 319)**2
Factor -3*t**5 + 15*t**4 - 12*t**3.
-3*t**3*(t - 4)*(t - 1)
Factor -6*p**3 - 92*p**2 - 320*p + 256.
-2*(p + 8)**2*(3*p - 2)
Factor 4*g**2 + 60*g.
4*g*(g + 15)
Solve -c**4/4 + 2*c**3 + 33*c**2/4 = 0 for c.
-3, 0, 11
Solve -4*u**5 - 72*u**4 - 320*u**3 + 728*u**2 + 6468*u + 5488 = 0.
-7, -1, 4
Determine q, given that -4*q**4 + 2368*q**3 - 468072*q**2 + 31047200*q - 30581492 = 0.
1, 197
Factor 12*z**2/7 - 58*z/7 + 40/7.
2*(z - 4)*(6*z - 5)/7
Factor w**4/9 + 7*w**3/9 + 14*w**2/9 + 8*w/9.
w*(w + 1)*(w + 2)*(w + 4)/9
Let -k**5 + 95*k**4 + 7*k**3 - 671*k**2 + 570*k = 0. What is k?
-3, 0, 1, 2, 95
Suppose 6*d**5/7 - 4*d**4 - 86*d**3/7 + 212*d**2/7 + 120*d/7 - 144/7 = 0. Calculate d.
-3, -1, 2/3, 2, 6
Let m**5 + 17*m**4 - 162*m**3 + 144*m**2 = 0. Calculate m.
-24, 0, 1, 6
Solve 4*d**4 - 156*d**3 + 2028*d**2 - 8788*d = 0 for d.
0, 13
Factor 2*z**5/3 + 4*z**4 - 10*z**3 + 16*z**2/3.
2*z**2*(z - 1)**2*(z + 8)/3
Factor -2*s**2 - 226*s - 224.
-2*(s + 1)*(s + 112)
Factor -4*b**3 - 32*b**2 - 76*b - 48.
-4*(b + 1)*(b + 3)*(b + 4)
Factor 28*z**4 - 244*z**3 + 348*z**2 - 76*z - 56.
4*(z - 7)*(z - 1)**2*(7*z + 2)
Factor -9*h**5 - 3*h**4 + 6*h**3.
-3*h**3*(h + 1)*(3*h - 2)
Let -w**5/4 + 37*w**4/4 + 41*w**3/4 - 109*w**2/4 - 47*w - 19 = 0. What is w?
-1, 2, 38
Solve 2*k**3/5 + 782*k**2/5 - 4746*k/5 + 7146/5 = 0.
-397, 3
Factor -3*i**2 + 21288*i - 37764912.
-3*(i - 3548)**2
Determine t, given that -2*t**3/3 - 2*t**2/3 + 8*t/3 + 8/3 = 0.
-2, -1, 2
Determine q, given that q**4/2 - 17*q**3/2 - 13*q**2/2 + 1133*q/2 - 1452 = 0.
-8, 3, 11
Determine z, given that -4*z**2 + 504*z - 15876 = 0.
63
Find w such that 3*w**2/4 + 5739*w/2 + 10978707/4 = 0.
-1913
Factor -l**2/4 - 51*l/2 - 2601/4.
-(l + 51)**2/4
Factor -p**3/6 + p**2/6 + p.
-p*(p - 3)*(p + 2)/6
Factor 4*q**4/7 + 36*q**3/7 + 116*q**2/7 + 156*q/7 + 72/7.
4*(q + 1)*(q + 2)*(q + 3)**2/7
Solve 4*j**3 - 20*j**2 - 504*j = 0 for j.
-9, 0, 14
Let -25*x**5/2 - 90*x**4 - 12*x**3 + 475*x**2 - 63*x/2 - 441 = 0. Calculate x.
-6, -3, -1, 7/5
Factor -2*v**3 - 11*v**2 + 20*v - 7.
-(v - 1)*(v + 7)*(2*v - 1)
Solve -35*q**2 - 3720*q - 1060 = 0 for q.
-106, -2/7
Suppose -20*o**5 - 108*o**4 - 68*o**3 + 204*o**2 + 88*o - 96 = 0. What is o?
-4, -2, -1, 3/5, 1
Factor 9*w**2/4 + 143*w/2 - 16.
(w + 32)*(9*w - 2)/4
Factor 3*o**2 + 783*o + 780.
3*(o + 1)*(o + 260)
Factor 2*m**2 - 2204*m + 607202.
2*(m - 551)**2
Determine p, given that -p**4/4 + 15*p**3/4 - 41*p**2/4 - 51*p/4 + 99/2 = 0.
-2, 3, 11
Determine i, given that -i**2/2 - 3*i/2 = 0.
-3, 0
Find l, given that -l**4 + 98*l**3 = 0.
0, 98
Suppose 15*c**5 - 190*c**4 + 210*c**3 + 720*c**2 - 25*c - 330 = 0. Calculate c.
-1, 2/3, 3, 11
Let -4*k**2 - 348*k - 344 = 0. What is k?
-86, -1
Solve h**2/2 + 3*h = 0 for h.
-6, 0
Find w such that -w**2/7 - 312*w/7 + 628/7 = 0.
-314, 2
Let -2*n**5 - 16*n**4 - 18*n**3 + 52*n**2 + 104*n + 48 = 0. Calculate n.
-6, -2, -1, 2
Factor 2*c**4/19 + 32*c**3 + 2432*c**2.
2*c**2*(c + 152)**2/19
What is n in -4*n**5/5 - 52*n**4/5 + 548*n**3/5 + 1508*n**2/5 - 4432*n/5 + 2432/5 = 0?
-19, -4, 1, 8
Find s such that 5*s**4 + 25*s**3 = 0.
-5, 0
Find y, given that 8*y**3/7 + 974*y**2/7 - 1228*y/7 + 246/7 = 0.
-123, 1/4, 1
Solve -100*k**5/7 - 1780*k**4/7 - 2976*k**3/7 - 1552*k**2/7 - 256*k/7 = 0 for k.
-16, -1, -2/5, 0
What is u in -u**3/4 - 103*u**2/4 - 25*u + 51 = 0?
-102, -2, 1
Solve -2*u**3/3 - 12*u**2 - 54*u - 72 = 0.
-12, -3
Solve -2*r**4/17 + 4*r**3/17 = 0 for r.
0, 2
Find t, given that -3*t**5 - 39*t**4/2 + 33*t**3/2 + 177*t**2 + 126*t - 108 = 0.
-6, -2, 1/2, 3
Factor -q**4 + 12*q**3 - 38*q**2 + 12*q + 63.
-(q - 7)*(q - 3)**2*(q + 1)
Find z, given that -3*z**5 - 9*z**4 + 27*z**3 + 69*z**2 - 72*z - 108 = 0.
-3, -1, 2
Let -2*u**4 + 26*u**3 - 96*u**2 + 72*u = 0. What is u?
0, 1, 6
Solve -2*t**2/5 + 6*t - 72/5 = 0.
3, 12
Solve 2*x**5 + 11*x**4 + 18*x**3 + 8*x**2 - 4*x - 3 = 0.
-3, -1, 1/2
Find k such that 5*k**2 - 80*k = 0.
0, 16
Factor -5*x**5 + 380*x**4 - 2490*x**3 + 5240*x**2 - 4505*x + 1380.
-5*(x - 69)*(x - 4)*(x - 1)**3
Suppose -4*d**3 + 244*d**2 + 256*d - 496 = 0. What is d?
-2, 1, 62
Solve -4*b**5 - 50*b**4/3 + 80*b**3/3 + 310*b**2/3 - 56*b = 0.
-4, -3, 0, 1/2, 7/3
Suppose f**4/2 - 2*f**3 - 21*f**2 - 18*f + 81/2 = 0. Calculate f.
-3, 1, 9
Solve 5*q**2/2 - 35*q/2 - 45 = 0 for q.
-2, 9
Factor -3*c**4 + 36*c**3 - 9*c**2 - 624*c - 576.
-3*(c - 8)**2*(c + 1)*(c + 3)
Determine d so that 2*d**4/15 + 38*d**3/15 + 16*d**2 + 168*d/5 = 0.
-7, -6, 0
Factor -m**2/3 + 20*m/3 - 28.
-(m - 14)*(m - 6)/3
Let -10*w**5/3 + 7*w**4 + 35*w**3/3 - 5*w**2 - 25*w/3 - 2 = 0. Calculate w.
-1, -1/2, -2/5, 1, 3
Suppose -3*i**3 + 21*i**2 - 21*i - 45 = 0. What is i?
-1, 3, 5
Factor 5*q**3 - 255*q**2 + 3120*q + 3380.
5*(q - 26)**2*(q + 1)
Solve 396*d**2 + 793*d + 2 = 0.
-2, -1/396
Suppose -206082*v**5 - 2568*v**4 - 8*v**3 = 0. What is v?
-2/321, 0
Solve h**4 + 3*h**3 - 5*h**2 - 3*h + 4 = 0.
-4, -1, 1
Suppose -2*s**2 - 46*s + 156 = 0. Calculate s.
-26, 3
Find d, given that 2*d**4 + 14*d**3 + 22*d**2 + 10*d = 0.
-5, -1, 0
Factor -5*q**2 + 6025*q.
-5*q*(q - 1205)
Factor 4*o**4/7 + 8*o**3/7 - 108*o**2/7 + 208*o/7 - 16.
4*(o - 2)**2*(o - 1)*(o + 7)/7
Factor 841*s**2/4 + 345