 2*j**2 + 12*j/7.
2*j*(j + 1)*(j + 6)/7
Factor 3*z**2 - 1950*z.
3*z*(z - 650)
Determine o, given that -15*o**5 + 36*o**4 + 33*o**3 - 78*o**2 - 36*o + 24 = 0.
-1, 2/5, 2
Find b such that 12*b**3/5 - 112*b**2/5 + 52*b = 0.
0, 13/3, 5
Factor 2*l**2/3 - 146*l - 440/3.
2*(l - 220)*(l + 1)/3
Find n such that -3*n**4 - 2289*n**3 - 435480*n**2 + 437772*n = 0.
-382, 0, 1
What is d in -3*d**5 - 9*d**4 + 18*d**3 + 24*d**2 = 0?
-4, -1, 0, 2
Solve -2*f**4 + 1464*f**3 - 8736*f**2 + 17440*f - 11616 = 0.
2, 726
Factor 3*j**2/5 - 156*j/5 + 2028/5.
3*(j - 26)**2/5
Factor 3*w**3/4 + 135*w**2/4 - 108*w.
3*w*(w - 3)*(w + 48)/4
Determine g so that 5*g**2/3 - 70400*g/3 + 247808000/3 = 0.
7040
Factor -f**2/8 + f/2 + 5/8.
-(f - 5)*(f + 1)/8
Factor -5*l**2 - 1485*l - 4410.
-5*(l + 3)*(l + 294)
Determine n so that -n**2 + 19*n + 120 = 0.
-5, 24
Determine y so that 2*y**5/9 + 146*y**4/9 + 284*y**3/9 - 4*y**2/9 - 286*y/9 - 142/9 = 0.
-71, -1, 1
Find l, given that -4*l**5 - 24*l**4 - 48*l**3 - 32*l**2 = 0.
-2, 0
Let 5*r**2 + 90*r + 280 = 0. Calculate r.
-14, -4
Let 4*j**4 + 5*j**3 - 23*j**2 - 6*j = 0. Calculate j.
-3, -1/4, 0, 2
Find r, given that 5*r**4/3 + 210*r**3 + 595*r**2/3 - 1250*r = 0.
-125, -3, 0, 2
Factor 9*a**4/4 + 2*a**3 - 11*a**2/4 - 5*a/2.
a*(a + 1)**2*(9*a - 10)/4
Determine o, given that -o**2/8 + 27*o/2 - 315/8 = 0.
3, 105
Solve -2*c**5 + 9*c**4 + 23*c**3 - 153*c**2 + 135*c + 108 = 0.
-4, -1/2, 3
Factor -x**4/4 + 12*x**3 + 57*x**2/4 - 95*x - 147.
-(x - 49)*(x - 3)*(x + 2)**2/4
Solve 54*q**5/7 + 270*q**4/7 + 180*q**3/7 - 880*q**2/7 - 1600*q/7 - 768/7 = 0.
-3, -4/3, 2
Factor 3*n**4/5 - 258*n**3/5 - 3*n**2/5 + 258*n/5.
3*n*(n - 86)*(n - 1)*(n + 1)/5
Factor 3*f**2/4 + 21*f - 87/4.
3*(f - 1)*(f + 29)/4
Let 2*p**4 + 10*p**3 - 42*p**2 + 46*p - 16 = 0. What is p?
-8, 1
Factor -21*h**2 + 522*h - 432.
-3*(h - 24)*(7*h - 6)
Determine r so that -2*r**2/15 + 34*r/15 - 32/15 = 0.
1, 16
Find h, given that -2*h**3/11 + 2*h/11 = 0.
-1, 0, 1
Solve 2*p**5/5 - 14*p**4/5 - 2*p**3/5 + 14*p**2/5 = 0.
-1, 0, 1, 7
What is l in l**3/6 - 35*l**2/2 + 901*l/2 + 2809/6 = 0?
-1, 53
Suppose 2*a**3/9 - 560*a**2/3 - 562*a/3 + 3364/9 = 0. What is a?
-2, 1, 841
Suppose -5*z**4 - 4740*z**3 - 1132815*z**2 - 4469840*z - 3341760 = 0. Calculate z.
-472, -3, -1
Determine f, given that -f**5/9 - f**4/9 + 2*f**3/3 + 4*f**2/9 - 8*f/9 = 0.
-2, 0, 1, 2
Factor -22*r**3 - 81*r**2 - 80*r - 12.
-(r + 2)*(2*r + 3)*(11*r + 2)
What is g in 3*g**2 + 252*g + 249 = 0?
-83, -1
Factor -2*z**3/7 + 2*z**2/7 + 10*z/7 + 6/7.
-2*(z - 3)*(z + 1)**2/7
Suppose 4*z**3 + 280*z**2 - 284*z = 0. Calculate z.
-71, 0, 1
Suppose -t**4 - 26*t**3 + 84*t**2 - 86*t + 29 = 0. What is t?
-29, 1
Factor -2*d**2/17 + 786*d/17 - 784/17.
-2*(d - 392)*(d - 1)/17
Suppose u**2 - 3*u - 54 = 0. Calculate u.
-6, 9
Factor 3*a**5 + 18*a**4 - 21*a**3.
3*a**3*(a - 1)*(a + 7)
Let z**4 + 548*z**3 + 1638*z**2 + 1636*z + 545 = 0. Calculate z.
-545, -1
Factor -w**3/7 - 32*w**2/7 - 115*w/7 - 12.
-(w + 1)*(w + 3)*(w + 28)/7
Suppose -27*b**4 + 60*b**3 + 27*b**2 - 60*b = 0. Calculate b.
-1, 0, 1, 20/9
Factor 2*d**2 + 122*d - 124.
2*(d - 1)*(d + 62)
Factor -i**4/4 - 39*i**3/2 - 1737*i**2/4 - 2106*i - 2916.
-(i + 3)**2*(i + 36)**2/4
Suppose -3*o**3/4 - 66*o**2 - 5535*o/4 + 6075/2 = 0. What is o?
-45, 2
Solve 2*b**3 - 2166*b**2 + 781926*b - 94091762 = 0 for b.
361
Factor 2*h**3 - 11*h**2 - 8*h + 44.
(h - 2)*(h + 2)*(2*h - 11)
Solve 5*v**3 - 15*v**2 - 45*v - 25 = 0.
-1, 5
Suppose -2*j**3 + 2*j**2 + 42*j - 90 = 0. What is j?
-5, 3
Factor x**5/2 - 3*x**4/2 + x**3/2 + 3*x**2/2 - x.
x*(x - 2)*(x - 1)**2*(x + 1)/2
Find c, given that -5*c**4 + 120*c**3 - 115*c**2 = 0.
0, 1, 23
Suppose -q**5/4 + 13*q**4/4 + 45*q**3/4 - 373*q**2/4 - 206*q - 105 = 0. Calculate q.
-5, -1, 6, 14
Factor -m**4/4 + 53*m**3/4 + 225*m**2/4 + 171*m/4.
-m*(m - 57)*(m + 1)*(m + 3)/4
Solve l**5 + 8*l**4 + 10*l**3 - 28*l**2 - 11*l + 20 = 0 for l.
-5, -4, -1, 1
Factor -50*d**5/9 - 440*d**4/9 - 376*d**3/3 - 704*d**2/9 - 128*d/9.
-2*d*(d + 4)**2*(5*d + 2)**2/9
Factor 3*u**3 - 6*u**2 - 117*u - 216.
3*(u - 8)*(u + 3)**2
Factor 3*j**5 - 6*j**3 + 3*j.
3*j*(j - 1)**2*(j + 1)**2
Determine y so that -3993*y**5 + 5808*y**4 - 33*y**3 - 1410*y**2 - 348*y - 24 = 0.
-2/11, 1
What is w in -3*w**5 + 33*w**4 - 57*w**3 + 27*w**2 = 0?
0, 1, 9
What is s in -5*s**2/2 - 15*s - 20 = 0?
-4, -2
Suppose q**5 - 28*q**4/5 + 33*q**3/5 + 18*q**2/5 = 0. What is q?
-2/5, 0, 3
Suppose -2*r**5/7 + 24*r**4/7 - 2*r**3 - 456*r**2/7 + 736*r/7 + 1152/7 = 0. Calculate r.
-4, -1, 4, 9
Factor -3*n**5 + 12*n**4 + 15*n**3.
-3*n**3*(n - 5)*(n + 1)
Find m, given that 2*m**5 + 26*m**4 + 78*m**3 + 54*m**2 = 0.
-9, -3, -1, 0
Factor t**2/4 - 22*t - 45.
(t - 90)*(t + 2)/4
Determine n so that 48*n**3 - 20568*n**2 + 10275*n - 1284 = 0.
1/4, 428
Let -32*y**4 + 108*y**3 - 36*y**2 = 0. What is y?
0, 3/8, 3
What is k in 3*k**2 - 456*k + 453 = 0?
1, 151
What is n in 4120*n**2/7 + 292*n - 8/7 = 0?
-1/2, 2/515
Factor 2*o**2/5 - 2*o/5.
2*o*(o - 1)/5
Factor 5*h**3 + 575*h**2 - 1760*h + 1180.
5*(h - 2)*(h - 1)*(h + 118)
Find w such that -4*w**4/3 + 20*w**3/3 - 12*w**2 + 28*w/3 - 8/3 = 0.
1, 2
Factor -4*b**2 - 24*b.
-4*b*(b + 6)
What is c in -c**3 + 6*c**2/5 + 8*c/5 = 0?
-4/5, 0, 2
Factor -d**2 - 7*d - 12.
-(d + 3)*(d + 4)
What is d in -11*d**2/2 + 94*d - 17/2 = 0?
1/11, 17
Suppose -4*c**2 - 180*c = 0. Calculate c.
-45, 0
Factor -l**2 + 2*l + 15.
-(l - 5)*(l + 3)
Solve -4*n**5 - 744*n**4 - 36056*n**3 - 136144*n**2 - 167076*n - 66248 = 0 for n.
-91, -2, -1
What is q in 4*q**5/5 + 8*q**4/5 - 44*q**3/5 - 48*q**2/5 = 0?
-4, -1, 0, 3
Factor -4*w**2/3 - 61*w/3 + 16.
-(w + 16)*(4*w - 3)/3
Solve 2*c**3/5 - 122*c**2/5 + 2464*c/5 - 16456/5 = 0.
17, 22
What is q in q**3 + 16*q**2 - 36*q = 0?
-18, 0, 2
Let -2*u**3 - 2*u**2 + 8*u + 8 = 0. Calculate u.
-2, -1, 2
Factor 2*v**2/7 + 200*v/7 + 198/7.
2*(v + 1)*(v + 99)/7
Suppose -225*n**4/2 - 2910*n**3 - 2423*n**2 + 362*n - 25/2 = 0. What is n?
-25, -1, 1/15
Let -2*m**5/5 + 12*m**4/5 - 24*m**3/5 + 16*m**2/5 = 0. Calculate m.
0, 2
Factor 2*d**2 - 3532*d + 1559378.
2*(d - 883)**2
Solve -5*a**4 - 10*a**3 + 40*a**2 + 90*a + 45 = 0.
-3, -1, 3
What is d in -2*d**3/3 - 44*d**2/3 + 32*d = 0?
-24, 0, 2
Factor -45*m**3 - 415*m**2 - 720*m - 140.
-5*(m + 2)*(m + 7)*(9*m + 2)
Let 2*z**3/19 - 6*z**2/19 + 6*z/19 - 2/19 = 0. What is z?
1
Factor 3*d**3/5 + 66*d**2/5 + 171*d/5.
3*d*(d + 3)*(d + 19)/5
Suppose -10*d**3 - 17*d**2 + 22*d + 5 = 0. What is d?
-5/2, -1/5, 1
Find x, given that -338*x**5/5 - 2938*x**4/5 - 220*x**3 + 1192*x**2 - 1712*x/5 + 128/5 = 0.
-8, -2, 2/13, 1
Find o such that -o**4 + 2*o**3 + 13*o**2 + 10*o = 0.
-2, -1, 0, 5
Let -4*p**5/5 + 12*p**4/5 + 68*p**3/5 - 156*p**2/5 + 16*p = 0. Calculate p.
-4, 0, 1, 5
Find r such that r**3/4 + 7*r**2/4 - 113*r/4 + 105/4 = 0.
-15, 1, 7
Factor 5*m**2 + 5*m - 10.
5*(m - 1)*(m + 2)
Suppose -15*s**3 + 490*s**2 + 2020*s/3 + 680/3 = 0. What is s?
-2/3, 34
What is c in 9*c**5/4 - 39*c**4/2 - 123*c**3/4 + 249*c**2 - 309*c + 108 = 0?
-4, 2/3, 1, 2, 9
What is n in -84*n**5 + 220*n**4 - 196*n**3 + 68*n**2 - 8*n = 0?
0, 2/7, 1/3, 1
Let 5*g**2 + 80*g + 320 = 0. What is g?
-8
Let -140*a**3 + 325*a**2 - 70*a - 40 = 0. Calculate a.
-1/4, 4/7, 2
Suppose -2*j**5/9 + 76*j**4/9 + 2*j**3/3 - 224*j**2/9 - 152*j/9 = 0. What is j?
-1, 0, 2, 38
Factor 4*b**3 + 16*b**2 - 2804*b + 2784.
4*(b - 24)*(b - 1)*(b + 29)
Find z, given that 2*z**4 - 200*z**3 + 7488*z**2 - 124416*z + 774144 = 0.
24, 28
Solve v**5/7 + 5*v**4/7 + 3*v**3/7 - 17*v**2/7 - 4*v - 12/7 = 0.
-3, -2, -1, 2
Factor -y**5 - 2*y**4 + 8*y**3 - 2*y**2 - 7*y + 4.
-(y - 1)**3*(y + 1)*(y + 4)
Factor -2*p**3 + 84*p**2 - 82*p.
-2*p*(p - 41)*(p - 1)
Factor 2*h**5 + 14*h**4 - 10*h**3 - 150*h**2.
2*h**2*(h - 3)*(h + 5)**2
Determine f so that -3*f**5 + 594*f**4 - 29400*f**3 - 594*f**2 + 29403*f = 0.
-1, 0, 1, 99
Let -a**3/5 + 12*a**2/5 - 29*a/5 - 42/5 = 0. What is a?
-1, 6, 7
Factor 4*b**3 - 804*b**2 + 39996*b + 40804.
4*(b - 101)**2*(b + 1)
Factor 3*h**4/4 + 15*h**3/2 + 18*h**2 - 15*h/2 - 75/4.
3*(h - 1)*(h + 1)*(h + 5)**2/4
Find c such that -5*c**3 - 10170*c**2 - 6895260*c - 1558328760 = 0.
-678
Factor -5*f**3/2 + 5*f**2 + 5*f/2 - 5.
-5*(f - 2)*(f - 1)*(f + 1)/2
Factor -j**2/3 + 47*j.
-j*(j - 141)/3
Factor g**5 + 25*g**4 + 69*g**3 + 67*g**2 + 22*g.
g*(g + 1)**3*(g