or -10*c**3/13 - 14*c**2 - 846*c/13 - 162/13.
-2*(c + 9)**2*(5*c + 1)/13
Solve r**3/6 + 4*r**2/3 - r/6 - 4/3 = 0.
-8, -1, 1
Factor j**4/2 + 29*j**3/2 + 14*j**2.
j**2*(j + 1)*(j + 28)/2
Factor -g**3/6 + g**2/2 + 5*g/3 - 4.
-(g - 4)*(g - 2)*(g + 3)/6
Let z**5 + 5*z**4 + 2*z**3 - 14*z**2 - 3*z + 9 = 0. Calculate z.
-3, -1, 1
Find a, given that 245*a**4 - 525*a**3 + 40*a**2 + 60*a = 0.
-2/7, 0, 3/7, 2
Factor k**2 + 49*k - 1206.
(k - 18)*(k + 67)
What is f in 10*f**5 + 185*f**4/3 + 295*f**3/3 + 5*f**2 - 15*f = 0?
-3, -1/2, 0, 1/3
Factor 5*n**3 - 1055*n**2 - 1070*n + 2120.
5*(n - 212)*(n - 1)*(n + 2)
Find f such that 5*f**5/6 + 235*f**4/6 + 3095*f**3/6 + 7925*f**2/6 + 3740*f/3 + 1210/3 = 0.
-22, -1
Solve 52*b**2 + 7168*b - 1104 = 0.
-138, 2/13
Factor -c**4/6 - 5*c**3 + c**2/6 + 5*c.
-c*(c - 1)*(c + 1)*(c + 30)/6
Factor 21*d**4 - 3*d**3.
3*d**3*(7*d - 1)
Let 2*u**5 - 44*u**4 + 2700*u**2 + 6750*u = 0. Calculate u.
-5, -3, 0, 15
Let 5*s**2 + 780*s + 30420 = 0. What is s?
-78
Find m such that -3*m**5 - 13*m**4 - 22*m**3 - 18*m**2 - 7*m - 1 = 0.
-1, -1/3
Factor -3*h**2 + 360*h - 10800.
-3*(h - 60)**2
Determine k, given that -7*k**5/2 - 41*k**4/3 + 67*k**3/3 + 124*k**2 + 165*k/2 - 9 = 0.
-3, -1, 2/21, 3
Factor -3*p**4/2 - 3*p**3.
-3*p**3*(p + 2)/2
Factor 4*v**4 + 19*v**3 - 4*v**2 - 19*v.
v*(v - 1)*(v + 1)*(4*v + 19)
Factor -14*n**2/3 - 20*n/3 - 2.
-2*(n + 1)*(7*n + 3)/3
Factor -28*b**2 + 832*b - 1344.
-4*(b - 28)*(7*b - 12)
Factor -3*j**3/4 - 27*j**2/4 + 255*j/4 - 225/4.
-3*(j - 5)*(j - 1)*(j + 15)/4
Suppose -c**3 + 9*c = 0. What is c?
-3, 0, 3
Factor -2*o**3/7 + 134*o**2/7 - 384*o/7.
-2*o*(o - 64)*(o - 3)/7
Let -d**4/6 + 175*d**3/6 + 359*d**2/2 + 543*d/2 = 0. What is d?
-3, 0, 181
Suppose -2*b**4 - 17*b**3/2 - 12*b**2 - 13*b/2 - 1 = 0. What is b?
-2, -1, -1/4
Determine n so that 2*n**5/17 - 14*n**4/17 + 14*n**3/17 + 38*n**2/17 - 32*n/17 - 40/17 = 0.
-1, 2, 5
Suppose -b**2/3 - 1315*b/3 = 0. What is b?
-1315, 0
Factor -2*m**4 + 6*m**3 + 10*m**2 - 6*m - 8.
-2*(m - 4)*(m - 1)*(m + 1)**2
Solve o**3/3 + 182*o**2/3 + 361*o/3 + 60 = 0 for o.
-180, -1
Determine k, given that 3*k**5/2 + 120*k**4 + 2988*k**3 + 22848*k**2 + 34680*k = 0.
-34, -10, -2, 0
Factor -x**3/8 + 283*x**2/8 - 140*x + 279/2.
-(x - 279)*(x - 2)**2/8
What is l in l**2 + 100*l - 1100 = 0?
-110, 10
Let 6*w**5/5 + 18*w**4/5 - 54*w**3/5 - 162*w**2/5 = 0. Calculate w.
-3, 0, 3
Factor 4*a**3 + 1088*a**2.
4*a**2*(a + 272)
Find n such that -3*n**2 + 12*n + 15 = 0.
-1, 5
Determine s, given that -4*s**3 + 584*s**2 + 1184*s = 0.
-2, 0, 148
Factor -98*q**2 + 6216*q - 98568.
-2*(7*q - 222)**2
Find y, given that 5*y**4 - 395*y**3 + 1890*y**2 - 2980*y + 1480 = 0.
1, 2, 74
Solve 25*x**4 + 55*x**3 + 15*x**2 - 35*x - 20 = 0.
-1, 4/5
Solve r**3/10 - 13*r**2/5 + 32*r/5 + 768/5 = 0 for r.
-6, 16
Solve -f**2/7 + 38*f/7 + 215/7 = 0.
-5, 43
Let w**4 - 32*w**3 - 68*w**2 = 0. What is w?
-2, 0, 34
Solve 4*w**5 - 96*w**4 + 528*w**3 - 872*w**2 - 276*w + 1224 = 0 for w.
-1, 2, 3, 17
Factor -2*v**2/5 + 942*v/5 + 1892/5.
-2*(v - 473)*(v + 2)/5
Determine q, given that -4*q**2 - 32*q - 60 = 0.
-5, -3
Solve -5*k**5 + k**4 + 60*k**3 - 92*k**2 + 16*k = 0 for k.
-4, 0, 1/5, 2
Solve 6*m**4 + 134*m**3 + 724*m**2 + 960*m = 0 for m.
-15, -16/3, -2, 0
Factor o**3/5 + 117*o**2/5 + 1842*o/5 - 392.
(o - 1)*(o + 20)*(o + 98)/5
Find l, given that l**3/2 + 9*l**2/2 - 5*l = 0.
-10, 0, 1
Solve -5*t**4 + 95*t**3 - 570*t**2 + 1280*t - 800 = 0.
1, 4, 10
Factor -4*s**3 - 136*s**2 + 284*s - 144.
-4*(s - 1)**2*(s + 36)
Determine k so that -k**4 - 12*k**3 - 27*k**2 + 4*k + 36 = 0.
-9, -2, 1
Determine x so that -2*x**3/3 + 80*x**2 - 3200*x + 128000/3 = 0.
40
Solve -o**4/4 + 17*o**3/4 + 515*o**2/4 + 2223*o/4 - 1377/2 = 0.
-9, 1, 34
Determine k, given that 4*k**5/5 - 36*k**4/5 + 88*k**3/5 - 128*k/5 = 0.
-1, 0, 2, 4
Find v such that v**2 + 10*v - 24 = 0.
-12, 2
Factor v**3/5 - 5*v**2 - 54*v/5.
v*(v - 27)*(v + 2)/5
Let 2*v**3/3 - 104*v**2/3 + 1352*v/3 = 0. What is v?
0, 26
Find u such that 3*u**3/8 + 9*u**2/8 = 0.
-3, 0
Factor 2*k**3/9 - 106*k**2/9 + 206*k/9 - 34/3.
2*(k - 51)*(k - 1)**2/9
Solve -2*l**4/7 + 24*l**3/7 - 10*l**2/7 - 132*l/7 = 0.
-2, 0, 3, 11
Factor c**3/3 + 2*c**2 + 5*c/3.
c*(c + 1)*(c + 5)/3
Factor -x**3/8 + 21*x**2 - 1176*x + 21952.
-(x - 56)**3/8
Find n, given that -2*n**3/3 - 206*n**2/3 - 398*n/3 + 202 = 0.
-101, -3, 1
Factor -2*j**2/5 + 2*j + 12/5.
-2*(j - 6)*(j + 1)/5
Factor a**5 - 32*a**4 + 256*a**3.
a**3*(a - 16)**2
What is t in -3*t**3 - 10*t**2 - 4*t + 8 = 0?
-2, 2/3
Solve -m**4/3 - 65*m**3/3 - 42*m**2 = 0.
-63, -2, 0
Factor 2*r**5 - 38*r**4 + 276*r**3 - 940*r**2 + 1450*r - 750.
2*(r - 5)**3*(r - 3)*(r - 1)
Let -5*j**5 - 135*j**4 - 975*j**3 - 845*j**2 = 0. What is j?
-13, -1, 0
Factor -12*t**2 + 224*t - 212.
-4*(t - 1)*(3*t - 53)
Solve y**3 + 13*y**2 - 73*y - 85 = 0.
-17, -1, 5
Factor 141*n**2/4 + 69*n/2 - 3/4.
3*(n + 1)*(47*n - 1)/4
Suppose -4*l**2 + 68*l + 152 = 0. What is l?
-2, 19
Factor -3*m**3 + 12*m**2 - 15*m + 6.
-3*(m - 2)*(m - 1)**2
Let -36*i**4 + 2688*i**3 - 1780*i**2 + 296*i = 0. What is i?
0, 1/3, 74
Determine i so that 2*i**2 + 6*i - 8 = 0.
-4, 1
Factor -4*f**4 + 52*f**3 + 12*f**2 - 164*f + 104.
-4*(f - 13)*(f - 1)**2*(f + 2)
Factor 3*w**2 + 1935*w.
3*w*(w + 645)
Suppose 11*u**4/5 - 46*u**3/5 + 52*u**2/5 - 8*u/5 = 0. What is u?
0, 2/11, 2
Find q, given that -39366*q**5 - 96228*q**4 - 76950*q**3 - 22808*q**2 - 2848*q - 128 = 0.
-1, -4/27
Find g such that 3*g**3 + 369*g**2 + 5328*g + 20544 = 0.
-107, -8
Find c, given that 3*c**2/5 - 18*c/5 - 33 = 0.
-5, 11
Factor -r**2/2 - 3041*r/2 - 1520.
-(r + 1)*(r + 3040)/2
Determine x, given that x**5/2 + 2*x**4 - 5*x**2 - x/2 + 3 = 0.
-3, -2, -1, 1
Factor -x**4/6 - 7*x**3/6 + 53*x**2/6 - 27*x/2 + 6.
-(x - 3)*(x - 1)**2*(x + 12)/6
Factor -i**5 + 39*i**3 - 70*i**2.
-i**2*(i - 5)*(i - 2)*(i + 7)
Factor 5*y**2 + 205*y.
5*y*(y + 41)
Find g, given that -g**4/3 + 13*g**3/3 - 10*g**2 - 4*g/3 + 40/3 = 0.
-1, 2, 10
Factor -2*t**4/11 + 4*t**3/11 - 4*t/11 + 2/11.
-2*(t - 1)**3*(t + 1)/11
Factor -20*f**5 - 48*f**4 - 36*f**3 - 8*f**2.
-4*f**2*(f + 1)**2*(5*f + 2)
Find o such that -2*o**3/5 - 18*o**2/5 + 128*o/5 - 168/5 = 0.
-14, 2, 3
What is c in -4*c**4 - 20*c**3 - 28*c**2 - 12*c = 0?
-3, -1, 0
Factor 4*z**2 - 100*z - 104.
4*(z - 26)*(z + 1)
Suppose y**3/9 - 335*y**2/9 - 112*y/3 = 0. What is y?
-1, 0, 336
Determine l, given that 4*l**5 + 13*l**4 - l**3 - 13*l**2 - 3*l = 0.
-3, -1, -1/4, 0, 1
Factor -2*i**2/5 - 252*i/5 + 774/5.
-2*(i - 3)*(i + 129)/5
Factor -w**2/6 + 2*w + 14/3.
-(w - 14)*(w + 2)/6
Determine b, given that -b**2/3 - 1147*b/3 + 1148/3 = 0.
-1148, 1
Factor -2*b**2/7 + 2/7.
-2*(b - 1)*(b + 1)/7
Solve -2*j**3 + 6*j**2 + 18*j - 54 = 0 for j.
-3, 3
Suppose 3*f**2/4 - 231*f/4 + 57 = 0. What is f?
1, 76
Factor -25*b**3 - 240*b**2 - 125*b + 90.
-5*(b + 1)*(b + 9)*(5*b - 2)
Determine p so that -p**3 - 457*p**2 - 911*p - 455 = 0.
-455, -1
Factor -2*f**4 + 652*f**3 - 70632*f**2 + 2518772*f + 2590058.
-2*(f - 109)**3*(f + 1)
Solve 4*l**2 + 360*l + 8100 = 0.
-45
Factor c**5/2 + 7*c**4/2 + 3*c**3.
c**3*(c + 1)*(c + 6)/2
Let 3*o**2 - 2217*o - 2220 = 0. Calculate o.
-1, 740
Factor -6*w**3/13 + 6238*w**2/13 + 160*w.
-2*w*(w - 1040)*(3*w + 1)/13
Let 4*y**2 - 272*y + 268 = 0. What is y?
1, 67
Factor 2*h**4/13 - 1552*h**3 + 3914144*h**2.
2*h**2*(h - 5044)**2/13
Factor -2*v**2 + 8960*v - 10035200.
-2*(v - 2240)**2
Suppose 4*k**5 + 4*k**4 - 12*k**3 - 4*k**2 + 8*k = 0. What is k?
-2, -1, 0, 1
What is z in -z**5/6 - 7*z**4/3 + 68*z**3/3 - 113*z**2/3 + 35*z/2 = 0?
-21, 0, 1, 5
Solve -2*v**5/3 + 14*v**3/3 + 4*v**2 = 0 for v.
-2, -1, 0, 3
Solve y**5 + 2*y**4 - 3*y**3 - 4*y**2 + 4*y = 0 for y.
-2, 0, 1
Determine i so that -i**2/2 - 6*i - 11/2 = 0.
-11, -1
Determine y, given that 2*y**4 + 26*y**3 + 112*y**2 + 160*y = 0.
-5, -4, 0
Solve j**4 - 5*j**3 - j**2 + 5*j = 0.
-1, 0, 1, 5
Factor -2*r**3/3 - 2*r**2/3 + 4*r/3.
-2*r*(r - 1)*(r + 2)/3
Factor -4*h**4/9 + 140*h**3/3 - 1248*h**2 + 10816*h/9.
-4*h*(h - 52)**2*(h - 1)/9
Solve -4*r**3/7 - 24*r**2/7 - 44*r/7 - 24/7 = 0 for r.
-3, -2, -1
Find b, given that 3*b**2 - 510*b - 513 = 0.
-1, 171
Determine w, given that 4*w**4/7 + 136*w**3 + 57588*w**2/7 + 16048*w + 55696/7 = 0.
-118, -1
Determine v, given that -8*v**2/15 + 154*v/15 - 38/15 = 0.
1/4, 19
Factor 4*n**2