/11
Factor 4*d**4 - 24*d**3 + 52*d**2 - 48*d + 16.
4*(d - 2)**2*(d - 1)**2
Determine w, given that 2*w**2/9 - 38*w/9 + 32/3 = 0.
3, 16
Determine t, given that 8*t**4 - 96*t**3 + 138*t**2 + 214*t + 60 = 0.
-1/2, 3, 10
Factor -2*a**2 + 6096*a - 4645152.
-2*(a - 1524)**2
Factor 2*i**3/15 - 8*i**2/15 - 218*i/15 - 208/15.
2*(i - 13)*(i + 1)*(i + 8)/15
Factor -4*c**3/7 - 9*c**2/7 - 6*c/7 - 1/7.
-(c + 1)**2*(4*c + 1)/7
Factor -a**2/4 + 7*a/2 - 13/4.
-(a - 13)*(a - 1)/4
Solve -2*p**5/11 - 28*p**4/11 - 116*p**3/11 - 40*p**2/11 + 50*p + 500/11 = 0.
-5, -1, 2
Factor m**4/2 + 6*m**3 + 10*m**2.
m**2*(m + 2)*(m + 10)/2
Suppose v**3/4 - 21*v**2/4 + 95*v/4 - 75/4 = 0. What is v?
1, 5, 15
Let -z**2 + 12*z - 36 = 0. What is z?
6
Solve -g**4 + 8436*g**3 - 26687286*g**2 + 37522324116*g - 19783645390161 = 0.
2109
Factor p**4/2 - 105*p**3 - 859*p**2/2 + 312*p + 1926.
(p - 214)*(p - 2)*(p + 3)**2/2
Find u, given that -2*u**4/3 - 58*u**3/9 - 34*u**2/9 + 2*u = 0.
-9, -1, 0, 1/3
Solve 4*w**5 - 4*w**4 - 12*w**3 + 4*w**2 + 8*w = 0.
-1, 0, 1, 2
Let -4*w**5 - 48*w**4 - 208*w**3 - 384*w**2 - 256*w = 0. What is w?
-4, -2, 0
Suppose -3*d**5 + 183*d**4 + 567*d**3 + 573*d**2 + 192*d = 0. Calculate d.
-1, 0, 64
What is r in -r**3 - 58*r**2 - 988*r - 4056 = 0?
-26, -6
Factor -4*q**4 - 212*q**3 - 3420*q**2 - 10108*q + 109744.
-4*(q - 4)*(q + 19)**3
Suppose -3*r**2/2 - 729*r/2 + 366 = 0. What is r?
-244, 1
Factor -a**4/3 + 25*a**3/3 - 143*a**2/3 - 169*a/3.
-a*(a - 13)**2*(a + 1)/3
Factor 14*m**2/13 - 88*m/13 + 24/13.
2*(m - 6)*(7*m - 2)/13
Factor 3*j**2/2 - 99*j/2 + 210.
3*(j - 28)*(j - 5)/2
Determine f so that 2*f**3/9 - 212*f**2/9 - 874*f/9 - 220/3 = 0.
-3, -1, 110
Factor 12*h**3 + 400*h**2 + 397*h/3 + 11.
(h + 33)*(6*h + 1)**2/3
Factor -5*u**2 + 860*u - 855.
-5*(u - 171)*(u - 1)
Determine c so that -2*c**4/3 - 124*c**3/3 - 1786*c**2/3 + 4480*c/3 + 2048 = 0.
-32, -1, 3
Factor k**5 - 6*k**3 + 8*k**2 - 3*k.
k*(k - 1)**3*(k + 3)
Factor 3*w**3/2 - w**2/2 - 75*w/2 + 25/2.
(w - 5)*(w + 5)*(3*w - 1)/2
Factor -2*r**5/3 - 8*r**4/3 - 10*r**3/3 - 4*r**2/3.
-2*r**2*(r + 1)**2*(r + 2)/3
Factor 3*j**2 + 2361*j + 4710.
3*(j + 2)*(j + 785)
What is f in -2*f**3 - 24*f**2 = 0?
-12, 0
Find n such that 4*n**4 - 2288*n**3 + 425880*n**2 - 23727600*n - 385573500 = 0.
-13, 195
Suppose 4*p**4/3 - 44*p**3/3 + 48*p**2 - 64*p/3 - 256/3 = 0. What is p?
-1, 4
Factor 3*q**3 + 66*q**2 + 255*q.
3*q*(q + 5)*(q + 17)
Find l, given that 2*l**2/3 - 224*l/3 - 472 = 0.
-6, 118
Factor -2*s**4 + 38*s**3 - 124*s**2 - 416*s.
-2*s*(s - 13)*(s - 8)*(s + 2)
Suppose -3*d**5/7 + 36*d**4/7 + 9*d**3/7 - 102*d**2/7 - 72*d/7 = 0. Calculate d.
-1, 0, 2, 12
Suppose 9*w**3 + 1470*w**2 + 58017*w - 165336 = 0. What is w?
-83, 8/3
Factor 2*j**2/9 + 40*j/9 + 38/9.
2*(j + 1)*(j + 19)/9
Solve d**4 - 4*d**3 = 0.
0, 4
Find q such that -4*q**3/3 - 176*q**2 - 7744*q - 340736/3 = 0.
-44
Factor 2*l**5/5 - 18*l**4/5 - 12*l**3/5 + 92*l**2/5 + 138*l/5 + 54/5.
2*(l - 9)*(l - 3)*(l + 1)**3/5
Factor 8*h**2 - 388*h + 4680.
4*(h - 26)*(2*h - 45)
Determine p so that -4*p**5/7 - 4*p**4 - 20*p**3/7 + 4*p**2 + 24*p/7 = 0.
-6, -1, 0, 1
Let -4*c**5 + 372*c**4 - 3448*c**3 + 10776*c**2 - 12676*c + 4980 = 0. What is c?
1, 3, 5, 83
Find i, given that i**5 - i**4 - 9*i**3 + 5*i**2 + 16*i - 12 = 0.
-2, 1, 3
Factor y**2/3 - 19*y/3 - 50.
(y - 25)*(y + 6)/3
Factor -3*l**3/2 + 777*l**2/2 + 3*l/2 - 777/2.
-3*(l - 259)*(l - 1)*(l + 1)/2
Factor -16*c**3/9 + 8*c**2/9 + 20*c/9 + 2/3.
-2*(2*c - 3)*(2*c + 1)**2/9
Factor 3*b**3 - 51*b**2 - 984*b - 1740.
3*(b - 29)*(b + 2)*(b + 10)
Factor 2*i**3/9 + 38*i**2/9 + 68*i/9.
2*i*(i + 2)*(i + 17)/9
Solve -2*m**5/7 + 96*m**4/7 - 184*m**3/7 - 4*m**2/7 + 186*m/7 - 92/7 = 0.
-1, 1, 46
Factor 16928*s**4/9 - 22448*s**3/9 + 5234*s**2/9 + 488*s/3 + 8.
2*(4*s - 3)**2*(23*s + 2)**2/9
Determine u, given that 3*u**5 - 10632*u**4 + 12574092*u**3 - 4979264880*u**2 + 19766510400*u - 19716384000 = 0.
2, 1180
Factor -u**4 + 48*u**3 - 858*u**2 + 6776*u - 19965.
-(u - 15)*(u - 11)**3
Find o, given that -3*o**2 - 1686*o = 0.
-562, 0
Suppose 7*n**5 + 9*n**4 - 47*n**3 - 21*n**2 + 40*n + 12 = 0. Calculate n.
-3, -1, -2/7, 1, 2
Factor 12*k**3 + 13776*k**2 - 13785*k + 3447.
3*(k + 1149)*(2*k - 1)**2
Let l**3/2 + 13*l**2/2 - l/2 - 13/2 = 0. Calculate l.
-13, -1, 1
Determine r so that -3*r**3/7 - 51*r**2/7 - 177*r/7 + 33 = 0.
-11, -7, 1
Factor -2*g**3/3 + 26*g**2 - 210*g + 1450/3.
-2*(g - 29)*(g - 5)**2/3
Suppose 27*l**4 - 54*l**3 - 21*l**2 + 36*l + 12 = 0. Calculate l.
-2/3, -1/3, 1, 2
Solve 2*c**2/7 - 1128*c/7 + 159048/7 = 0.
282
Factor -2*o**2 + 184*o/5 - 72/5.
-2*(o - 18)*(5*o - 2)/5
Factor 2*j**3/9 - 148*j**2/9 + 454*j/3 + 168.
2*(j - 63)*(j - 12)*(j + 1)/9
Factor h**4/3 - 97*h**3 + 289*h**2/3 + 97*h - 290/3.
(h - 290)*(h - 1)**2*(h + 1)/3
Factor -4*o**2 + 356*o - 6240.
-4*(o - 65)*(o - 24)
Solve -k**2/5 + 816*k/5 - 166464/5 = 0 for k.
408
Factor -2*r**2 - 58*r - 56.
-2*(r + 1)*(r + 28)
Suppose -15*k**5 + 7389*k**4 - 912162*k**3 + 541692*k**2 + 363096*k = 0. What is k?
-2/5, 0, 1, 246
Factor l**3/8 - 23*l**2/8 + 10*l - 19/2.
(l - 19)*(l - 2)**2/8
Factor -2*a**2 - 68*a - 578.
-2*(a + 17)**2
Factor 8*t**2 - 55*t - 363.
(t - 11)*(8*t + 33)
Find g such that 2*g**2/3 - 104*g/3 + 200/3 = 0.
2, 50
Factor -2*p**2 - 14*p - 12.
-2*(p + 1)*(p + 6)
Factor -2*t**3 + 3740*t**2 - 14936*t + 14928.
-2*(t - 1866)*(t - 2)**2
Factor -s**3/2 - 16*s**2 - 285*s/2 - 225.
-(s + 2)*(s + 15)**2/2
Determine i, given that 16*i**5 + 84*i**4 + 148*i**3 + 96*i**2 + 16*i = 0.
-2, -1, -1/4, 0
Determine c so that 6*c**4/5 - 792*c**3/5 + 26916*c**2/5 - 10296*c + 5070 = 0.
1, 65
Suppose -h**3/5 + 3*h**2 - 15*h + 25 = 0. What is h?
5
Factor g**3/10 - 9*g**2/5 + 81*g/10 - 54/5.
(g - 12)*(g - 3)**2/10
Factor -3*m**3 + 145*m**2 + 99*m - 49.
-(m - 49)*(m + 1)*(3*m - 1)
Factor -4*g**4 - 29*g**3 - 67*g**2 - 51*g - 9.
-(g + 1)*(g + 3)**2*(4*g + 1)
Factor -b**3/2 - 134*b**2 - 18221*b/2 - 17689.
-(b + 2)*(b + 133)**2/2
Find f, given that -8*f**5/15 + 2*f**4/5 + 50*f**3/3 - 142*f**2/5 + 118*f/15 + 4 = 0.
-6, -1/4, 1, 5
Factor 2*t**4/7 - 22*t**3/7 - 80*t**2/7 - 8*t.
2*t*(t - 14)*(t + 1)*(t + 2)/7
Find k such that 134*k**2/9 - 2*k/9 = 0.
0, 1/67
Find v such that -v**4/5 + 6*v**3/5 = 0.
0, 6
Solve -5*i**4 + 40*i**3 - 30*i**2 - 40*i + 35 = 0 for i.
-1, 1, 7
Factor 5*r**2 - 1350*r - 1355.
5*(r - 271)*(r + 1)
Factor -2*p**4 - 24*p**3 - 20*p**2 + 24*p + 22.
-2*(p - 1)*(p + 1)**2*(p + 11)
Find j such that 3*j**5/8 - 3*j**4/4 - 27*j**3/8 + 21*j**2/4 + 15*j/2 - 9 = 0.
-2, 1, 2, 3
Determine y, given that -2*y**5 + 10*y**4 - 6*y**3 - 10*y**2 + 8*y = 0.
-1, 0, 1, 4
Solve 2*d**4 + 5132*d**3 + 3281898*d**2 - 13189240*d + 13209800 = 0.
-1285, 2
Let 3*w**2 + 1281*w - 6480 = 0. Calculate w.
-432, 5
Determine y so that 2*y**4/9 + 20*y**3/9 - 2*y**2/9 - 20*y/9 = 0.
-10, -1, 0, 1
Determine v so that 2*v**4 - 17*v**3 - 29*v**2 - 10*v = 0.
-1, -1/2, 0, 10
Factor -4*g**3/3 - 460*g**2/3 - 908*g/3 - 452/3.
-4*(g + 1)**2*(g + 113)/3
Factor -4*p**2 + 16*p - 16.
-4*(p - 2)**2
Find x such that -5*x**5/12 - 7*x**4/3 - 11*x**3/4 + 3*x**2/2 = 0.
-3, 0, 2/5
Factor 2*i**5/5 + 22*i**4/5 + 48*i**3/5 - 72*i**2/5.
2*i**2*(i - 1)*(i + 6)**2/5
What is v in -44*v**3/9 + 100*v**2/9 - 56*v/9 = 0?
0, 1, 14/11
Find c, given that c**4/3 - 9*c**3 + 25*c**2 - 73*c/3 + 8 = 0.
1, 24
Factor -f**5 - 122*f**4 - 472*f**3.
-f**3*(f + 4)*(f + 118)
What is o in -8*o**4/9 + 32*o**3/3 - 382*o**2/9 + 188*o/3 - 22 = 0?
1/2, 3, 11/2
Find s, given that 5*s**2 - 360*s = 0.
0, 72
Factor n**4/2 - 187*n**3 - 188*n**2 + 187*n + 375/2.
(n - 375)*(n - 1)*(n + 1)**2/2
Factor -9*d**3/7 - 67*d**2/7 - 82*d/7 - 24/7.
-(d + 1)*(d + 6)*(9*d + 4)/7
Determine p, given that -2*p**3 - 5862*p**2 - 5727174*p - 1865149666 = 0.
-977
Factor -10*n**3 - 95*n**2 + 175*n + 110.
-5*(n - 2)*(n + 11)*(2*n + 1)
Factor -6*d**4/11 - 468*d**3/11 - 4968*d**2/11 + 177744*d/11.
-6*d*(d - 14)*(d + 46)**2/11
Factor -v**3 + 95*v**2 - 2847*v + 25857.
-(v - 39)**2*(v - 17)
Find f such that -3*f**2 + 6*f = 0.
0, 2
Let -52*i**3 + 4*i**2 + 152*i + 96 = 0. What is i?
-1, -12/13, 2
Factor -2*f**2/15 - 6*f/5 - 16/15.
-2*(f + 1)*(f + 8)/15
Factor 5*x**2 - 90*x.
5*x*(x - 18)
Factor 2*m**3/13 + 2*m**2 - 28*m/13.
2*m*(m - 1)*(m + 14)/13
Determine b so that -3*b**2 + 126*b - 123 = 0.
1, 41
Determine h so that -2*