 + 93*k/2 + 12.
-3*(k - 8)*(k + 1)**4/2
Determine p, given that -2*p**5/3 - 14*p**4 - 26*p**3 - 38*p**2/3 = 0.
-19, -1, 0
Let c**2/3 - 26*c/3 = 0. Calculate c.
0, 26
Factor -5*d**2/2 - 105*d/2 - 135.
-5*(d + 3)*(d + 18)/2
Determine f, given that 4*f**3 + 128*f**2 = 0.
-32, 0
Let 50*q**3 - 2710*q**2 - 2192*q - 440 = 0. Calculate q.
-2/5, 55
Determine o, given that -o**2/6 - 122*o/3 + 245/6 = 0.
-245, 1
Solve -2*c**4/13 + 60*c**3/13 - 616*c**2/13 + 180*c - 1782/13 = 0 for c.
1, 9, 11
Factor -3*o**3/4 + 29*o**2/4 + 235*o/4 + 75/4.
-(o - 15)*(o + 5)*(3*o + 1)/4
Let -4*n**2/7 + 20*n/7 = 0. Calculate n.
0, 5
Factor -x**3 + 5*x**2 + 73*x - 77.
-(x - 11)*(x - 1)*(x + 7)
What is m in 2*m**2 + 192*m + 4608 = 0?
-48
Factor -2*z**3 - 40*z**2 - 168*z.
-2*z*(z + 6)*(z + 14)
Factor 3*k**4/2 - 6*k**3 + 3*k**2/2 + 9*k.
3*k*(k - 3)*(k - 2)*(k + 1)/2
Let 4*v**2 - 372*v + 4160 = 0. What is v?
13, 80
Factor -2*r**2 + 156*r + 1376.
-2*(r - 86)*(r + 8)
Suppose -2*z**4 + 20*z**3 - 48*z**2 = 0. What is z?
0, 4, 6
Suppose 3*x**4/4 - 9*x**3/2 - 231*x**2/4 + 387*x/2 - 132 = 0. Calculate x.
-8, 1, 2, 11
Solve 2*u**5/3 + 4*u**4/3 - 40*u**3/3 - 44*u**2/3 + 38*u/3 + 40/3 = 0.
-5, -1, 1, 4
Factor 256*c**2/5 - 64*c/5 + 4/5.
4*(8*c - 1)**2/5
Factor 3*m**3 + 168*m**2 + 1713*m + 1548.
3*(m + 1)*(m + 12)*(m + 43)
Factor 3*o**5 + 315*o**4 + 618*o**3 - 6*o**2 - 621*o - 309.
3*(o - 1)*(o + 1)**3*(o + 103)
Find b, given that -3*b**4/5 + 234*b**3/5 + 249*b**2/5 - 936*b/5 - 948/5 = 0.
-2, -1, 2, 79
Factor -2*w**2 + 58*w - 156.
-2*(w - 26)*(w - 3)
Find a, given that -2*a**4/15 - 172*a**3/5 - 2112*a**2 + 69696*a/5 = 0.
-132, 0, 6
Let -4*q**5 - 32*q**4 - 36*q**3 + 152*q**2 + 160*q = 0. Calculate q.
-5, -4, -1, 0, 2
Determine d, given that -4*d**2 + 28*d - 48 = 0.
3, 4
Find k, given that 2*k**4/9 = 0.
0
Solve 5*p**4 - 5*p**3 - 735*p**2 + 4165*p - 3430 = 0 for p.
-14, 1, 7
Find b such that -2*b**2/9 + 940*b/9 - 110450/9 = 0.
235
Factor -4*t**2 - 252*t + 256.
-4*(t - 1)*(t + 64)
Let -2*q**3/7 - 20*q**2/7 - 18*q/7 = 0. What is q?
-9, -1, 0
Factor 64*g**3/7 + 2336*g**2 + 8164*g/7 + 1020/7.
4*(g + 255)*(4*g + 1)**2/7
Determine r, given that r**4/4 + 19*r**3/4 + 111*r**2/4 + 189*r/4 = 0.
-9, -7, -3, 0
Solve m**3/4 + 3*m**2/8 - m/4 = 0.
-2, 0, 1/2
Suppose s**2/3 - 132*s + 13068 = 0. What is s?
198
Factor b**4/2 + 18*b**3 + 101*b**2/2 + 33*b.
b*(b + 1)*(b + 2)*(b + 33)/2
Factor -l**4/3 - 2*l**3 - l**2 + 10*l/3.
-l*(l - 1)*(l + 2)*(l + 5)/3
Determine l so that 2*l**3 - 866*l**2 + 5142*l - 7686 = 0.
3, 427
Let -2*b**4/15 - 2*b**3/15 + 8*b**2/15 + 8*b/15 = 0. Calculate b.
-2, -1, 0, 2
Factor 2*k**2/7 - 136*k/7 + 264/7.
2*(k - 66)*(k - 2)/7
Let -w**3 + 31*w**2 - 299*w + 845 = 0. What is w?
5, 13
Factor -3*x**3 - 15*x**2 - 18*x.
-3*x*(x + 2)*(x + 3)
Solve -2*z**3/5 - 2*z**2 + 56*z/5 + 64/5 = 0 for z.
-8, -1, 4
Determine g, given that -2*g**2/7 + 32*g/7 - 30/7 = 0.
1, 15
What is r in 3*r**2 + 4851*r + 4848 = 0?
-1616, -1
Factor 2*d**3/15 - 10*d**2/3 - 36*d/5.
2*d*(d - 27)*(d + 2)/15
Factor n**5/7 - 5*n**4/7 + 3*n**3/7 + 5*n**2/7 - 4*n/7.
n*(n - 4)*(n - 1)**2*(n + 1)/7
Find f such that -175*f**2 + 220*f/3 - 4/3 = 0.
2/105, 2/5
Solve -5*o**5 - 60*o**4 + 135*o**3 - 70*o**2 = 0.
-14, 0, 1
Let 2*s**5 - 8*s**4 + 2*s**3 + 20*s**2 - 8*s - 16 = 0. Calculate s.
-1, 2
Solve -r**2 + r + 2 = 0 for r.
-1, 2
Suppose 2*b**5 + b**4 - 34*b**3 - 17*b**2 + 32*b + 16 = 0. What is b?
-4, -1, -1/2, 1, 4
Suppose -36*z**2 - 136*z + 32 = 0. What is z?
-4, 2/9
Factor -z**2/3 + 4*z/3 + 7.
-(z - 7)*(z + 3)/3
Suppose -4*b**2 - 248*b - 244 = 0. What is b?
-61, -1
Factor -k**5/4 + 61*k**4/4 - 119*k**3/4 + 59*k**2/4.
-k**2*(k - 59)*(k - 1)**2/4
Factor 2*d**5 + 8*d**4 + 10*d**3 + 4*d**2.
2*d**2*(d + 1)**2*(d + 2)
Solve 4*f**2 - 20*f - 416 = 0.
-8, 13
Factor 3*u**2/4 - 2*u + 1.
(u - 2)*(3*u - 2)/4
Solve -k**3/9 + 37*k**2/9 - 104*k/9 + 68/9 = 0.
1, 2, 34
Let -3*y**3 + 63*y**2 - 330*y = 0. Calculate y.
0, 10, 11
Solve -3*q**3 - q**2 + 10*q + 8 = 0.
-4/3, -1, 2
Factor 2*j**4/21 + 58*j**3/21 + 130*j**2/7 - 150*j/7.
2*j*(j - 1)*(j + 15)**2/21
What is f in -2*f**3/17 + 24*f/17 + 32/17 = 0?
-2, 4
Find i such that i**2/5 + 9*i/5 + 18/5 = 0.
-6, -3
Let 9*z**4 + 336*z**3 - 951*z**2 + 366*z + 240 = 0. What is z?
-40, -1/3, 1, 2
Let -5*p**2/3 - 119*p/3 + 8 = 0. Calculate p.
-24, 1/5
Find i, given that 3*i**2 - 1104*i + 4368 = 0.
4, 364
Factor 5*s**2 - 35*s - 1840.
5*(s - 23)*(s + 16)
Determine f so that -3*f**2 + 24*f + 27 = 0.
-1, 9
Let -2*n**2/15 + 8*n/5 = 0. What is n?
0, 12
Factor 12*f**3/13 - 94*f**2/13 + 140*f/13.
2*f*(f - 2)*(6*f - 35)/13
Factor 5*x**4 + 8170*x**3 + 4438980*x**2 + 795969720*x - 3255426720.
5*(x - 4)*(x + 546)**3
Determine q, given that -2*q**2 + 368*q - 16928 = 0.
92
Factor -159*k**2/4 + 69*k - 117/4.
-3*(k - 1)*(53*k - 39)/4
Let -8*p**4 + 2332*p**3 - 226980*p**2 + 7414292*p - 3650692 = 0. What is p?
1/2, 97
Factor 3*f**4/2 - 21*f**3 - 141*f**2/2 + 360*f.
3*f*(f - 16)*(f - 3)*(f + 5)/2
Suppose -9*x**5 - 33*x**4 - 6*x**3 + 42*x**2 + 15*x - 9 = 0. Calculate x.
-3, -1, 1/3, 1
Suppose 2*s**3/3 - 496*s**2/3 + 10414*s - 20172 = 0. Calculate s.
2, 123
Determine g so that g**4/3 - 69*g**3 + 3536*g**2 + 10816*g/3 = 0.
-1, 0, 104
Factor w**2 - 8*w + 16.
(w - 4)**2
Find b such that 5*b**3 - 720*b**2 + 34560*b - 552960 = 0.
48
Let t**2/3 - 4*t/3 - 32 = 0. What is t?
-8, 12
Factor -s**4 - 32*s**3 - 184*s**2 + 1152*s - 1296.
-(s - 2)**2*(s + 18)**2
Suppose 2*g**5/3 - 8*g**4/3 - 2*g**3 + 28*g**2/3 - 16*g/3 = 0. What is g?
-2, 0, 1, 4
Let 2*s**4/9 - 20*s**3/9 + 62*s**2/9 - 20*s/3 = 0. What is s?
0, 2, 3, 5
Factor 55*a**5 + 215*a**4 + 310*a**3 + 190*a**2 + 35*a - 5.
5*(a + 1)**4*(11*a - 1)
Solve -3*j**4/8 - 177*j**3/8 - 315*j**2 + 675*j/2 = 0 for j.
-30, 0, 1
Solve -2*v**5 + 6*v**4 - 4*v**3 - 4*v**2 + 6*v - 2 = 0 for v.
-1, 1
Factor 1083*s**2 + 342*s + 27.
3*(19*s + 3)**2
Factor 45*z**4 - 88*z**3 - 139*z**2 - 6*z.
z*(z - 3)*(z + 1)*(45*z + 2)
Determine t so that -3*t**4 - 354*t**3 + 1449*t**2 - 1824*t + 732 = 0.
-122, 1, 2
What is y in 2*y**5/3 - 4*y**3 - 16*y**2/3 - 2*y = 0?
-1, 0, 3
Find b such that 4*b**4 + 360*b**3 + 9008*b**2 + 36960*b - 112896 = 0.
-42, -8, 2
Suppose 4*y**5 - 348*y**4 + 3432*y**3 - 6448*y**2 - 18528*y + 21888 = 0. Calculate y.
-2, 1, 6, 76
Factor -r**2/5 - 49*r/5 - 102.
-(r + 15)*(r + 34)/5
Let -282475249*t**5/5 - 11529602*t**4 - 941192*t**3 - 38416*t**2 - 784*t - 32/5 = 0. What is t?
-2/49
Let -36*a**5 - 372*a**4 + 308*a**3 + 9684*a**2 + 12096*a + 3920 = 0. Calculate a.
-7, -2/3, 5
Factor 2*b**3/3 + 28*b**2/3 - 64*b/3.
2*b*(b - 2)*(b + 16)/3
Factor 25*u**2 - 160*u + 135.
5*(u - 1)*(5*u - 27)
Let -4*w**3 - 20*w**2 + 96*w = 0. Calculate w.
-8, 0, 3
Factor -q**5 - 15*q**4 - 82*q**3 - 198*q**2 - 205*q - 75.
-(q + 1)**2*(q + 3)*(q + 5)**2
Factor -5*z**2 + 230*z - 2645.
-5*(z - 23)**2
Find q such that -3*q**4 - 60*q**3 - 42*q**2 + 276*q - 171 = 0.
-19, -3, 1
Determine f so that 2*f**2 + 4482*f - 8972 = 0.
-2243, 2
Determine j so that -j**3 - j**2 + 70*j - 200 = 0.
-10, 4, 5
What is i in 4*i**4 - 16*i**3 - 156*i**2 + 504*i = 0?
-6, 0, 3, 7
Factor -5*i**2 + 10350*i - 5356125.
-5*(i - 1035)**2
Factor 3*u**4/2 + 159*u**3 - 645*u**2/2 + 162*u.
3*u*(u - 1)**2*(u + 108)/2
Suppose 10816*n**5/3 - 32656*n**4/3 + 33073*n**3/3 - 11443*n**2/3 + 211*n/3 - 1/3 = 0. What is n?
1/104, 1
Factor -j**3 + 33*j**2/4 - 9*j + 7/4.
-(j - 7)*(j - 1)*(4*j - 1)/4
Find j such that 6*j**5/5 - 16*j**4/5 - 12*j**3/5 + 16*j**2/5 + 6*j/5 = 0.
-1, -1/3, 0, 1, 3
Factor 5*b**3 - 25*b**2 - 40*b + 60.
5*(b - 6)*(b - 1)*(b + 2)
Suppose c**3/4 + 531*c**2/4 + 70755*c/4 + 70225/4 = 0. Calculate c.
-265, -1
Factor -3*t**2 + 7890*t + 7893.
-3*(t - 2631)*(t + 1)
Let 4418*d**3/9 - 6298*d**2/9 - 1406*d/3 + 722 = 0. Calculate d.
-1, 57/47
Factor i**2/4 - 223*i/4 - 56.
(i - 224)*(i + 1)/4
Let -y**4 + 23*y**3 - 38*y**2 - 92*y + 168 = 0. What is y?
-2, 2, 21
Determine s so that -2*s**5 + 8*s**4 + 14*s**3 - 44*s**2 - 48*s = 0.
-2, -1, 0, 3, 4
Factor -k**3 - 31*k**2 + 66*k.
-k*(k - 2)*(k + 33)
What is c in 4*c**5 - 156*c**4 - 180*c**3 + 812*c**2 - 480*c = 0?
-3, 0, 1, 40
Determine r, given that -78*r**5 - 615*r**4/2 - 450*r**3 - 285*r**2 - 60*r + 9/2 = 0.
-1, 3/52
Determine w so that 27*w**2 - 237*w - 54 = 0.
-2/9, 9
Suppose -50*h**2 + 3294*h/11 + 36/11 = 0. Calculate h.
-3