 + 1)*(191*z + 5)
Determine y, given that -2*y**4/7 - 62*y**3/7 + 24*y**2/7 + 712*y/7 - 992/7 = 0.
-31, -4, 2
Factor -2*l**4/11 + 4*l**3 - 336*l**2/11 + 980*l/11 - 686/11.
-2*(l - 7)**3*(l - 1)/11
Factor 2*s**4/7 - 122*s**3/7 + 360*s**2 - 18400*s/7 + 16000/7.
2*(s - 20)**3*(s - 1)/7
Suppose 15*s**4/8 - 309*s**3/8 - 603*s**2/4 - 54*s = 0. Calculate s.
-3, -2/5, 0, 24
Factor -2*x**2 + 5*x - 2.
-(x - 2)*(2*x - 1)
Determine h, given that -h**2/3 - 214*h - 34347 = 0.
-321
Factor -5*g**3 - 5*g**2 + 185*g - 175.
-5*(g - 5)*(g - 1)*(g + 7)
Factor 3*d**2/4 + 39*d/4 + 45/2.
3*(d + 3)*(d + 10)/4
Suppose -3*x**4 + 68*x**3 - 358*x**2 + 188*x + 105 = 0. What is x?
-1/3, 1, 7, 15
Determine k so that 5*k**3 - 80*k**2 + 205*k - 130 = 0.
1, 2, 13
Let -85*y**3 - 430*y**2 + 55*y + 400 = 0. Calculate y.
-5, -1, 16/17
Factor -4*l**2 - 116*l + 120.
-4*(l - 1)*(l + 30)
Factor -2*m**3/13 - 4*m**2/13 + 18*m/13 + 36/13.
-2*(m - 3)*(m + 2)*(m + 3)/13
Determine y, given that -y**4/4 + 27*y**3/2 - 981*y**2/4 + 1701*y - 3969 = 0.
6, 21
Factor 2*p**2/3 + 880*p/3 + 96800/3.
2*(p + 220)**2/3
Determine l so that 3*l**5 + 666*l**4 + 34899*l**3 - 230472*l**2 + 203148*l + 467856 = 0.
-114, -1, 3, 4
Factor -p**4/6 - 23*p**3/6 - 133*p**2/6 - 67*p/2 - 15.
-(p + 1)**2*(p + 6)*(p + 15)/6
Solve 2*f**5 + 61*f**4 - 234*f**3 + 143*f**2 + 232*f - 204 = 0 for f.
-34, -1, 1, 3/2, 2
What is p in p**2 + 14*p + 33 = 0?
-11, -3
Determine l, given that -2*l**2 - 254*l - 984 = 0.
-123, -4
Factor 2*o**2 - 52*o + 338.
2*(o - 13)**2
Factor 6*a**4 + 62*a**3 - 124*a**2 - 48*a.
2*a*(a - 2)*(a + 12)*(3*a + 1)
Solve 2*z**5/5 + 26*z**4/5 + 92*z**3/5 + 8*z**2/5 - 80*z - 448/5 = 0.
-7, -4, -2, 2
Let -3*z**2/4 - 27*z/2 + 30 = 0. Calculate z.
-20, 2
What is y in -2*y**3/3 - 550*y**2/3 - 1094*y/3 - 182 = 0?
-273, -1
Factor 2*k**2/9 - 1384*k/9 - 154.
2*(k - 693)*(k + 1)/9
Factor -2*f**2 + 1172*f/7 + 48.
-2*(f - 84)*(7*f + 2)/7
Factor -63*h**5 + 195*h**4 - 207*h**3 + 81*h**2 - 6*h.
-3*h*(h - 1)**3*(21*h - 2)
Determine i so that -2*i**5 - 28*i**4/3 + 88*i**3/3 - 68*i**2/3 + 14*i/3 = 0.
-7, 0, 1/3, 1
Factor -12*i**2 - 22*i - 10.
-2*(i + 1)*(6*i + 5)
Factor -3*z**3 - 3684*z**2 - 1127295*z + 2269350.
-3*(z - 2)*(z + 615)**2
Factor 3*x**4/4 + 17*x**3/4 + 17*x**2/2 + 7*x + 2.
(x + 1)*(x + 2)**2*(3*x + 2)/4
Solve -6*x**5/5 - 112*x**4/5 - 432*x**3/5 + 192*x**2 + 160*x = 0 for x.
-10, -2/3, 0, 2
Let r**4/6 + 2*r**3 - r**2/6 - 2*r = 0. Calculate r.
-12, -1, 0, 1
Factor -2*d**3/11 + 12486*d**2/11 - 24966*d/11 + 12482/11.
-2*(d - 6241)*(d - 1)**2/11
Factor -4*c**3 + 900*c**2 - 67500*c + 1687500.
-4*(c - 75)**3
Factor -g**3 + 4*g**2 - g - 6.
-(g - 3)*(g - 2)*(g + 1)
Solve -3*r**5 + 45*r**4 - 216*r**3 + 312*r**2 + 144*r - 432 = 0 for r.
-1, 2, 6
Factor 5*p**2 - 1350*p.
5*p*(p - 270)
Suppose 3*d**5/5 + 9*d**4 - 429*d**3/5 + 711*d**2/5 - 66*d = 0. What is d?
-22, 0, 1, 5
Solve 6*f**5/5 - 218*f**4/5 + 1976*f**3/5 + 768*f**2/5 - 12096*f/5 - 7776/5 = 0 for f.
-2, -2/3, 3, 18
Let -21*y**5 + 48*y**4 + 72*y**3 - 66*y**2 - 51*y + 18 = 0. Calculate y.
-1, 2/7, 1, 3
Factor -12005*x**5 + 507640*x**4 - 1121120*x**3 + 949760*x**2 - 359680*x + 51200.
-5*(x - 40)*(7*x - 4)**4
Find p such that 3*p**4/2 + 87*p**3/2 + 75*p**2 - 174*p - 324 = 0.
-27, -2, 2
Factor 2*n**4/11 - 248*n**3/11 - 502*n**2/11 - 252*n/11.
2*n*(n - 126)*(n + 1)**2/11
Factor n**4 + 8*n**3 - 84*n**2 + 32*n + 448.
(n - 4)**2*(n + 2)*(n + 14)
Find t, given that 4*t**3/5 + 368*t**2/5 + 1232*t + 5760 = 0.
-72, -10
Factor 4*s**4 - 76*s**3 + 72*s**2.
4*s**2*(s - 18)*(s - 1)
Suppose -5*f**5 + 55*f**4 - 190*f**3 + 170*f**2 + 195*f - 225 = 0. Calculate f.
-1, 1, 3, 5
Find r such that -2*r**3 + 10*r**2 + 2*r - 10 = 0.
-1, 1, 5
What is d in 5*d**2 - 20*d = 0?
0, 4
Solve -3*s**2 + 12*s + 15 = 0.
-1, 5
Find a such that -4*a**5/3 - 2215*a**4 - 2763901*a**3/3 - 1148720*a**2 - 688900*a/3 = 0.
-830, -1, -1/4, 0
Determine r so that 7*r**3/2 + 2829*r**2 + 18521*r/2 + 2415 = 0.
-805, -3, -2/7
Factor -p**2/3 - 823*p/3 - 274.
-(p + 1)*(p + 822)/3
What is o in -25*o**5/4 - 885*o**4/2 - 32029*o**3/4 - 6195*o**2 - 1225*o = 0?
-35, -2/5, 0
Let 21*f**2/2 - 27*f/2 - 15 = 0. Calculate f.
-5/7, 2
Find a such that 3*a**4 - 18363*a**3 + 55071*a**2 - 55065*a + 18354 = 0.
1, 6118
Determine b, given that b**3 + 34*b**2 + 124*b + 120 = 0.
-30, -2
Factor -2*f**2 - 12704*f - 20173952.
-2*(f + 3176)**2
Factor s**2/4 + 29*s + 115/4.
(s + 1)*(s + 115)/4
Determine b, given that 2*b**3/11 - 6*b**2/11 + 4*b/11 = 0.
0, 1, 2
Let 2*m**5 - 1061*m**4/2 + 3409*m**3/2 - 385*m**2 - 2098*m + 524 = 0. Calculate m.
-1, 1/4, 2, 262
Solve 3*z**4 - 504*z**3 - 1032*z**2 + 2016*z + 4080 = 0.
-2, 2, 170
Determine o, given that o**2/7 + 402*o/7 + 401/7 = 0.
-401, -1
Let 3*x**4/8 - 5*x**3/2 - 5*x**2/4 + 5*x/2 + 7/8 = 0. What is x?
-1, -1/3, 1, 7
Let 3*d**4 - 9*d**3 - 900*d**2 + 8700*d - 18000 = 0. What is d?
-20, 3, 10
Find b, given that -5*b**4 - 77*b**3 - 165*b**2 - 119*b - 26 = 0.
-13, -1, -2/5
Suppose 8*m**4 + 32*m**3 + 26*m**2 - 30*m - 36 = 0. What is m?
-2, -3/2, 1
Factor -2*q**2/11 + 602*q/11 + 604/11.
-2*(q - 302)*(q + 1)/11
Factor -2*o**3/9 - 74*o**2/9 + 232*o/3 - 120.
-2*(o - 6)*(o - 2)*(o + 45)/9
Factor -3*u**5 + 36*u**4 - 60*u**3.
-3*u**3*(u - 10)*(u - 2)
Determine o, given that 2*o**2 + 36*o = 0.
-18, 0
Factor 2*f**3/7 + 16*f**2/7 + 2*f.
2*f*(f + 1)*(f + 7)/7
Factor m**2 - 2*m - 575.
(m - 25)*(m + 23)
Determine l, given that -12*l**5/7 - 45*l**4/7 - 24*l**3/7 + 9*l**2/7 = 0.
-3, -1, 0, 1/4
Let 9*l**3 + 30*l**2 + 3*l - 18 = 0. Calculate l.
-3, -1, 2/3
Factor 3*d**2 - 6864*d + 6861.
3*(d - 2287)*(d - 1)
What is p in p**2/6 + 6*p - 1045/6 = 0?
-55, 19
Factor -h**2/4 + 633*h/4.
-h*(h - 633)/4
Suppose -25*b**2 - 10*b - 1 = 0. What is b?
-1/5
Factor -5*g**3 + 3250*g**2 - 16155*g + 19350.
-5*(g - 645)*(g - 3)*(g - 2)
Find l, given that -2*l**4/3 - 46*l**3/3 - 238*l**2/3 + 46*l/3 + 80 = 0.
-15, -8, -1, 1
Solve 18*g**5/5 + 6*g**4/5 - 52*g**3/5 - 56*g**2/5 - 16*g/5 = 0 for g.
-1, -2/3, 0, 2
Factor -5*p**4 - 15*p**3 + 80*p**2 - 60*p.
-5*p*(p - 2)*(p - 1)*(p + 6)
Solve -4*b**4/7 - 4*b**3 + 172*b**2/7 - 68*b/7 - 264/7 = 0 for b.
-11, -1, 2, 3
Factor j**3 + 68*j**2 - 139*j + 70.
(j - 1)**2*(j + 70)
What is g in -4*g**4/7 + 44*g**3/7 - 132*g**2/7 + 20*g/7 + 200/7 = 0?
-1, 2, 5
Factor 24*b**2 + 2396*b - 400.
4*(b + 100)*(6*b - 1)
Factor -3*y**3 + 18*y**2 - 27*y.
-3*y*(y - 3)**2
Factor -2*o**2/9 + 28*o + 1310/9.
-2*(o - 131)*(o + 5)/9
Factor -s**4/2 + 3*s**3/2 - 2*s.
-s*(s - 2)**2*(s + 1)/2
Let -24*a**4 - 236*a**3 - 560*a**2 + 100*a = 0. What is a?
-5, 0, 1/6
Factor -b**3/9 + b**2/9 + 581*b/9 - 575/3.
-(b - 23)*(b - 3)*(b + 25)/9
Solve o**2 + 59*o = 0.
-59, 0
Suppose 2*d**4/5 - 154*d**3/5 - 482*d**2/5 + 154*d/5 + 96 = 0. Calculate d.
-3, -1, 1, 80
What is a in -5*a**4 + 40*a**3 - 35*a**2 = 0?
0, 1, 7
Determine p, given that -2*p**4/7 + 8*p**3/7 + 12*p**2/7 - 8*p/7 - 10/7 = 0.
-1, 1, 5
Factor d**5 + 13*d**4 - 14*d**3.
d**3*(d - 1)*(d + 14)
What is n in 4*n**5 - 25*n**4 - 58*n**3 + 400*n**2 - 96*n = 0?
-4, 0, 1/4, 4, 6
Let -3*r**4 - 9*r**3 + 66*r**2 + 36*r - 216 = 0. What is r?
-6, -2, 2, 3
Determine j, given that -4*j**4/7 + 106*j**3/7 - 806*j**2/7 + 1544*j/7 - 120 = 0.
1, 3/2, 10, 14
Factor 4*g**2 - 1136*g + 80656.
4*(g - 142)**2
Suppose -3*x**5 + 546*x**4 - 33483*x**3 + 713340*x**2 - 1328400*x + 648000 = 0. What is x?
1, 60
Factor 5*l**2 - 7000*l + 2450000.
5*(l - 700)**2
Find i such that -2*i**5/17 - 20*i**4/17 + 2*i**3/17 + 20*i**2/17 = 0.
-10, -1, 0, 1
Factor q**5 - 14*q**4 - 15*q**3 + 500*q**2 + 500*q.
q*(q - 10)**2*(q + 1)*(q + 5)
Suppose -2*n**4/9 - 4*n**3/9 + 8*n**2/9 + 4*n/9 - 2/3 = 0. Calculate n.
-3, -1, 1
What is x in 75*x**3 - 70*x**2 - 155*x - 10 = 0?
-1, -1/15, 2
What is a in a**4/7 - 2*a**3 + 25*a**2/7 - 12*a/7 = 0?
0, 1, 12
Factor 4*m**3 + 368*m**2 + 5028*m - 5400.
4*(m - 1)*(m + 18)*(m + 75)
Factor k**4/6 + 3*k**3 - 515*k**2/6 + 456*k - 1120/3.
(k - 8)**2*(k - 1)*(k + 35)/6
Factor g**5/4 + 12*g**4 - 25*g**3.
g**3*(g - 2)*(g + 50)/4
Let 3*o**3 - 849*o**2 + 60489*o - 59643 = 0. What is o?
1, 141
Factor -3*d**5 + 1650*d**4 - 301395*d**3 + 18080760*d**2 + 37072320*d + 18688512.
-3*(d - 184)**3*(d + 1)**2
Solve -l**4/5 + 4*l**3/5 + 5*l**2 - 28*l/5 = 0.
-4, 0, 1, 7
Determine k, given that 18*k**3 + 3306*k**2 - 2207*k/2 + 92 =