 that k**5/8 + 5*k**4/8 - 3*k**3/2 - 4*k**2 + 4*k + 6 = 0.
-6, -2, -1, 2
Factor -2*v**2/3 + 146*v/3 + 148/3.
-2*(v - 74)*(v + 1)/3
Factor d**2/3 + 92*d/3 + 89.
(d + 3)*(d + 89)/3
Let -3*w**2 + 120*w - 957 = 0. Calculate w.
11, 29
Suppose -32*o**3/9 - 112*o**2/9 + 62*o/9 - 8/9 = 0. Calculate o.
-4, 1/4
Find x such that 2*x**2/13 + 24*x/13 + 22/13 = 0.
-11, -1
Solve g**5/5 - 62*g**4 + 7688*g**3 - 476656*g**2 + 14776336*g - 916132832/5 = 0.
62
Determine m, given that -m**2/2 + 6*m - 16 = 0.
4, 8
Factor 3*f**3 + 42*f**2 + 180*f + 216.
3*(f + 2)*(f + 6)**2
Solve -16*g**5/5 + 12*g**4 - 20*g**2 - 24*g/5 = 0 for g.
-1, -1/4, 0, 2, 3
Factor b**3/3 - 34*b**2/3 + 65*b/3 - 32/3.
(b - 32)*(b - 1)**2/3
What is c in -c**4 - 807*c**3 - 4818*c**2 - 9620*c - 6408 = 0?
-801, -2
Factor -4*k**5/3 - 8*k**4/3 + 8*k**2/3 + 4*k/3.
-4*k*(k - 1)*(k + 1)**3/3
Let 45*f**4 - 1122*f**3 + 4965*f**2 + 26796*f + 1764 = 0. What is f?
-3, -1/15, 14
Factor -686*g**3/5 + 30576*g**2/5 - 454272*g/5 + 2249728/5.
-2*(7*g - 104)**3/5
Suppose -15*q**4 + 36*q**3 + 33*q**2 - 18*q = 0. What is q?
-1, 0, 2/5, 3
Factor 4*g**4/5 + 4*g**3 - 4*g**2/5 - 68*g/5 + 48/5.
4*(g - 1)**2*(g + 3)*(g + 4)/5
Suppose 2*z**5 + 2*z**4 - 16*z**3 - 16*z**2 + 32*z + 32 = 0. Calculate z.
-2, -1, 2
Suppose -2*b**2 - 498*b = 0. Calculate b.
-249, 0
Find s such that 28*s**4 + 400*s**3 - 7084*s**2 + 10544*s + 3600 = 0.
-25, -2/7, 2, 9
Factor -4*n**4 - 256*n**3 - 4788*n**2 - 22040*n - 26912.
-4*(n + 2)*(n + 4)*(n + 29)**2
Factor 4*p**4 - 592*p**3 + 29952*p**2 - 552960*p + 1769472.
4*(p - 48)**3*(p - 4)
Suppose -2*u**4 - 70*u**3 - 598*u**2 - 1730*u - 1200 = 0. Calculate u.
-24, -5, -1
Determine w so that 2*w**2/5 - 76*w/5 - 32 = 0.
-2, 40
Factor 2*x**4/7 + 4*x**3/7 - 10*x**2/7 - 12*x/7.
2*x*(x - 2)*(x + 1)*(x + 3)/7
Let p**3/2 - 5*p**2 + 29*p/2 - 10 = 0. What is p?
1, 4, 5
Factor n**5/2 - 3*n**3/2 + n**2.
n**2*(n - 1)**2*(n + 2)/2
Factor -3*n**3/4 - 15*n**2/4 + 6*n + 9.
-3*(n - 2)*(n + 1)*(n + 6)/4
Suppose 2*n**2/17 - 234*n/17 + 232/17 = 0. Calculate n.
1, 116
Solve 192*q**3/7 - 388*q**2/7 + 200*q/7 - 4/7 = 0.
1/48, 1
Let 3*v**2/2 - 117*v/2 + 57 = 0. What is v?
1, 38
Determine j so that -2*j**5/3 + 214*j**4/3 + 218*j**3 + 658*j**2/3 + 220*j/3 = 0.
-1, 0, 110
Suppose -8*q**4 - 38*q**3 - 54*q**2 - 16*q + 8 = 0. What is q?
-2, -1, 1/4
Determine i so that -2*i**5/13 + 160*i**4/13 - 2854*i**3/13 - 14272*i**2/13 + 2856*i/13 + 14112/13 = 0.
-4, -1, 1, 42
Factor 2*n**3/9 + 232*n**2/9 + 856*n/3 + 832.
2*(n + 6)**2*(n + 104)/9
Factor 4*u**3 - 24*u**2 - 420*u - 392.
4*(u - 14)*(u + 1)*(u + 7)
Find i, given that 50*i**3/11 - 4910*i**2/11 - 3952*i/11 - 72 = 0.
-2/5, 99
Factor -h**2/11 + 7*h/11 + 18/11.
-(h - 9)*(h + 2)/11
Find n such that -7*n**5 - 5*n**4 + 30*n**3 + 20*n**2 - 8*n = 0.
-2, -1, 0, 2/7, 2
Solve u**4/6 + 31*u**3/6 + 47*u**2 + 322*u/3 + 196/3 = 0 for u.
-14, -2, -1
Solve -q**2 - 80*q - 79 = 0 for q.
-79, -1
Suppose q**3/2 - 2*q**2 - 39*q/2 - 27 = 0. What is q?
-3, -2, 9
Factor j**2/2 + 7*j + 49/2.
(j + 7)**2/2
Let 5*b**2 - 70*b + 245 = 0. What is b?
7
Factor 2*w**2 - 144*w + 2592.
2*(w - 36)**2
Let -4*z**5/13 - 18*z**4/13 + 34*z**3/13 - 12*z**2/13 = 0. Calculate z.
-6, 0, 1/2, 1
Let v**3/4 + 1937*v**2/4 + 234740*v + 234256 = 0. Calculate v.
-968, -1
Determine m, given that 5*m**2 - 330*m + 945 = 0.
3, 63
Let -z**3 - 6*z**2 - 9*z = 0. Calculate z.
-3, 0
Suppose y**5/4 + 3*y**4/2 - 6*y**3 + 13*y**2/2 - 9*y/4 = 0. Calculate y.
-9, 0, 1
Find z such that -5*z**3 + 25*z**2 - 40*z + 20 = 0.
1, 2
Factor -p**5 - 2*p**4 + p**3 + 2*p**2.
-p**2*(p - 1)*(p + 1)*(p + 2)
Find t such that 100*t**2 - 1308*t + 104 = 0.
2/25, 13
Factor 2*u**3/3 + 20*u**2/3 + 18*u + 12.
2*(u + 1)*(u + 3)*(u + 6)/3
Factor 2*y**3/3 + 2*y**2 - 72*y.
2*y*(y - 9)*(y + 12)/3
Find o, given that 2*o**5/11 + 2*o**4/11 - 240*o**3/11 + 936*o**2/11 = 0.
-13, 0, 6
Factor 4*u**2 + 124*u + 432.
4*(u + 4)*(u + 27)
Factor -7*j**3 - 114*j**2 - 567*j - 784.
-(j + 7)**2*(7*j + 16)
Factor 2*w**2 + 102*w + 196.
2*(w + 2)*(w + 49)
Factor n**3 - 2*n**2 - 20*n - 24.
(n - 6)*(n + 2)**2
Factor 4*n**3 - 1672*n**2 - 17020*n - 42800.
4*(n - 428)*(n + 5)**2
Let d**3/4 + 4*d**2 + 15*d/4 = 0. What is d?
-15, -1, 0
Determine s so that -2*s**5/9 - 94*s**4/9 - 436*s**3/3 - 516*s**2 - 210*s + 882 = 0.
-21, -3, 1
Determine l, given that -3*l**2/2 - 840*l = 0.
-560, 0
Determine u so that 2*u**5/21 - 20*u**4/21 - 4*u**3/21 + 40*u**2/21 + 2*u/21 - 20/21 = 0.
-1, 1, 10
Suppose 5*p**2 - 4690*p + 1099805 = 0. What is p?
469
Factor -x**2/4 - 13*x/4 + 15/2.
-(x - 2)*(x + 15)/4
Let -4*i**2/3 - 92*i/3 - 56 = 0. What is i?
-21, -2
Let -2*p**4/7 + 4*p**3/7 - 2*p**2/7 = 0. What is p?
0, 1
Factor 3*p**2/8 + 4641*p/8 + 2319/4.
3*(p + 1)*(p + 1546)/8
Let -i**2 + 88*i = 0. Calculate i.
0, 88
Suppose -5*c**2 - 35*c + 390 = 0. Calculate c.
-13, 6
Factor -j**2/3 - 2*j/3 + 1.
-(j - 1)*(j + 3)/3
Factor 2*t**5/9 + 22*t**4/9 + 38*t**3/9 + 2*t**2.
2*t**2*(t + 1)**2*(t + 9)/9
Factor 2*y**2 + 920*y + 105800.
2*(y + 230)**2
Let 5*m**4 - 360*m**3 - 2315*m**2 - 1950*m = 0. What is m?
-5, -1, 0, 78
Determine r, given that -3*r**2 - 627*r + 630 = 0.
-210, 1
Solve 5*o**4/4 + 3*o**3 - 21*o**2/4 - 10*o - 3 = 0.
-3, -1, -2/5, 2
Let 6*j**2/7 - 120*j/7 - 192 = 0. What is j?
-8, 28
What is t in -20*t**5 + 135*t**4 + 55*t**3 - 135*t**2 - 35*t = 0?
-1, -1/4, 0, 1, 7
Determine z, given that -2*z**5/19 + 16*z**4/19 + 28*z**3/19 - 96*z**2/19 + 54*z/19 = 0.
-3, 0, 1, 9
Find p, given that p**3/3 - 86*p**2/3 - 176*p/3 = 0.
-2, 0, 88
Let -2*p**2/9 - 16*p/9 + 40/9 = 0. Calculate p.
-10, 2
Factor 8*m**2/5 - 7554*m/5.
2*m*(4*m - 3777)/5
Factor 8*r**3/3 + 552*r**2 - 554*r + 416/3.
2*(r + 208)*(2*r - 1)**2/3
Find d, given that -d**2/3 + 637*d/3 = 0.
0, 637
Determine k, given that -k**4/8 + 5*k**3/8 - 3*k**2/4 = 0.
0, 2, 3
Factor 10*p**2 - 1164*p + 464.
2*(p - 116)*(5*p - 2)
Factor -3*d**4 - 48*d**3.
-3*d**3*(d + 16)
Suppose -j**3/9 + 35*j**2/9 - 392*j/9 + 1372/9 = 0. Calculate j.
7, 14
Solve 2*l**2 + 180*l + 4050 = 0.
-45
Factor 2*c**3 - 28*c**2 + 112*c - 128.
2*(c - 8)*(c - 4)*(c - 2)
Let p**5 - 2*p**4 - 5*p**3 + 10*p**2 + 4*p - 8 = 0. What is p?
-2, -1, 1, 2
Factor 704*c**3 + 10336*c**2 + 38860*c + 6728.
4*(4*c + 29)**2*(11*c + 2)
Factor 20*f**2 + 35*f + 15.
5*(f + 1)*(4*f + 3)
Suppose -f**2 - 2170*f - 1177225 = 0. What is f?
-1085
Let 22*s**5/3 + 4*s**4/3 - 66*s**3 - 124*s**2/3 + 248*s/3 + 16 = 0. Calculate s.
-2, -2/11, 1, 3
Factor -2*z**4/7 - 20*z**3/7 + 104*z**2/7 - 16*z.
-2*z*(z - 2)**2*(z + 14)/7
Factor -2*h**2 + 252*h - 7938.
-2*(h - 63)**2
Suppose -c**4/5 - 139*c**3/5 + 141*c**2/5 + 139*c/5 - 28 = 0. Calculate c.
-140, -1, 1
Factor 9*k**3 + 57*k**2 + 90*k + 24.
3*(k + 2)*(k + 4)*(3*k + 1)
Let 36*z**3 + 64*z**2 + 20*z - 8 = 0. Calculate z.
-1, 2/9
Solve -5*i**2 + 9800*i - 4802000 = 0 for i.
980
Factor 159201*p**4/8 - 157605*p**3/8 - 199*p**2 - p/2.
p*(p - 1)*(399*p + 2)**2/8
Factor -2*d**3 + 388*d**2 - 19570*d + 72200.
-2*(d - 95)**2*(d - 4)
Suppose a**4 - 18*a**2 - 32*a - 15 = 0. What is a?
-3, -1, 5
Determine r, given that r**4 + 12*r**3 - r**2 - 132*r = 0.
-11, -4, 0, 3
Factor 9*o**4/4 - 249*o**3 + 13943*o**2/2 - 4565*o + 3025/4.
(o - 55)**2*(3*o - 1)**2/4
Factor -1503815*l**4 - 134670*l**3 - 4020*l**2 - 40*l.
-5*l*(67*l + 2)**3
Find l, given that 3*l**4/4 + 57*l**3 + 3249*l**2/2 + 20577*l + 390963/4 = 0.
-19
Factor 5*f**4 - 25*f**3 - 10*f**2 + 120*f.
5*f*(f - 4)*(f - 3)*(f + 2)
Suppose 36*b**3 + 13*b**2 - 13*b/3 - 4/3 = 0. What is b?
-4/9, -1/4, 1/3
Factor 50*c**4 + 210*c**3 - 192*c**2 + 40*c.
2*c*(c + 5)*(5*c - 2)**2
Solve 1681*q**3/5 + 164*q**2/5 + 4*q/5 = 0 for q.
-2/41, 0
What is h in -5*h**3 - 50*h**2 - 60*h + 360 = 0?
-6, 2
Solve -2*m**2/9 + 32*m/9 - 32/3 = 0 for m.
4, 12
Solve 2*l**3/3 + 76*l**2/3 + 214*l/3 + 140/3 = 0.
-35, -2, -1
Let 3*z**3 - 24*z**2 + 39*z - 18 = 0. Calculate z.
1, 6
Factor l**3/4 + 59*l**2/2.
l**2*(l + 118)/4
Let -2*n**2 + 46*n + 48 = 0. Calculate n.
-1, 24
Factor -2*p**2 - 14*p/3 + 4.
-2*(p + 3)*(3*p - 2)/3
Factor 2*m**5 - 16*m**4 + 12*m**3 + 80*m**2 + 50*m.
2*m*(m - 5)**2*(m + 1)**2
Factor 3*y**4 + 9*y**3 - 72*y**2 - 240*y.
3*y*(y - 5)*(y + 4)**2
Factor -2*k**3/15 + 70*k**2 - 12250*k + 2143750/3.
-2*(k - 175)**3/15
Factor 4*q**3 + 780*q**2 + 50700*q + 1098500.
4*(q + 65)**3
Factor -165*b**3 - 535