(h + 7)**2
Solve 3*t**5 + 123*t**4 + 1755*t**3 + 9633*t**2 + 13182*t = 0.
-13, -2, 0
Factor 2*k**4 + 138*k**3 + 890*k**2 + 1374*k + 620.
2*(k + 1)**2*(k + 5)*(k + 62)
Find c, given that 5*c**2 + 220*c = 0.
-44, 0
Find g such that -4*g**2/9 - 152*g/9 + 320/9 = 0.
-40, 2
Find c such that c**5 + 5*c**4 - 2*c**3 - 28*c**2 - 8*c + 32 = 0.
-4, -2, 1, 2
Factor -10*d**5/9 - 56*d**4/9 + 8*d**3/3.
-2*d**3*(d + 6)*(5*d - 2)/9
Suppose -h**4/3 + 6*h**3 + 20*h**2/3 - 6*h - 19/3 = 0. Calculate h.
-1, 1, 19
Find b such that 2*b**3/7 - 298*b**2/7 - 86*b - 302/7 = 0.
-1, 151
Determine x so that -x**3/2 - x**2/2 + 65*x/2 - 63/2 = 0.
-9, 1, 7
Suppose 4*m**3 + 195*m**2 - 49*m = 0. What is m?
-49, 0, 1/4
Factor a**4/4 - 9*a**3 + 35*a**2/4.
a**2*(a - 35)*(a - 1)/4
Suppose -2*m**5 - 12*m**4 + 6*m**3 + 40*m**2 + 24*m = 0. What is m?
-6, -1, 0, 2
Factor n**4/2 + 59*n**3 + 2977*n**2/2 - 14868*n + 31752.
(n - 4)**2*(n + 63)**2/2
Factor 26*p**5 + 84*p**4 + 96*p**3 + 44*p**2 + 6*p.
2*p*(p + 1)**3*(13*p + 3)
Factor i**4 + 564*i**3 - 2267*i**2 + 2838*i - 1136.
(i - 2)*(i - 1)**2*(i + 568)
Factor -2*z**4 - 66*z**3 + 2*z**2 + 66*z.
-2*z*(z - 1)*(z + 1)*(z + 33)
Solve -2*p**5 - 178*p**4 - 856*p**3 - 1352*p**2 - 672*p = 0 for p.
-84, -2, -1, 0
Let s**4/4 - 377*s**3/4 - 757*s**2/4 - 379*s/4 = 0. Calculate s.
-1, 0, 379
Find x, given that -3*x**3/7 + 120*x**2/7 + 1473*x/7 + 1350/7 = 0.
-9, -1, 50
Factor -2*n**3 - 22*n**2 + 28*n + 48.
-2*(n - 2)*(n + 1)*(n + 12)
Factor 18*x**3 + 57*x**2 + 12*x - 60.
3*(x + 2)**2*(6*x - 5)
Find v such that -3*v**3/4 + 5451*v**2/4 - 619710*v + 618348 = 0.
1, 908
Determine v, given that v**2/3 - 45*v + 266/3 = 0.
2, 133
Factor -f**3 + 3*f**2 + 4*f.
-f*(f - 4)*(f + 1)
What is b in 4*b**2 - 120*b - 124 = 0?
-1, 31
Let -15*g**4/7 + 744*g**3/7 + 4365*g**2/7 + 4926*g/7 + 1320/7 = 0. What is g?
-4, -1, -2/5, 55
Solve 3*u**3/4 - 2043*u**2/4 + 87210*u - 86700 = 0 for u.
1, 340
Suppose -2*r**3/9 + 2*r/3 + 4/9 = 0. What is r?
-1, 2
Suppose -21*f**2/5 + 9*f/5 = 0. What is f?
0, 3/7
Let -f**4 - 54*f**3/7 - 33*f**2/7 + 2*f = 0. Calculate f.
-7, -1, 0, 2/7
Factor 4*v**5 - 132*v**4 + 252*v**3 - 124*v**2.
4*v**2*(v - 31)*(v - 1)**2
Find i, given that -3*i**5/8 + 21*i**4/8 - 27*i**3/4 + 15*i**2/2 - 3*i = 0.
0, 1, 2
Find f, given that 3*f**2 - 114*f + 216 = 0.
2, 36
Suppose -10*k**5 - 116*k**4 - 446*k**3 - 628*k**2 - 240*k = 0. Calculate k.
-5, -4, -2, -3/5, 0
Factor -l**4/3 + 20*l**3/3 - 50*l**2 + 500*l/3 - 625/3.
-(l - 5)**4/3
Suppose 4*l**4/3 - 640*l**3/3 + 2512*l**2/3 - 832*l = 0. Calculate l.
0, 2, 156
Find q such that -2*q**4/17 + 472*q**3/17 + 2880*q**2/17 + 5792*q/17 + 3872/17 = 0.
-2, 242
Factor h**5/2 - 8*h**4 - 38*h**3 - 40*h**2.
h**2*(h - 20)*(h + 2)**2/2
Let c**4/6 - 7*c**2/6 - c = 0. What is c?
-2, -1, 0, 3
Solve -10*l**4 + 205*l**3 - 1270*l**2 + 2205*l - 810 = 0.
1/2, 2, 9
Factor 71*j**3/7 - 713*j**2/7 + 669*j/7 - 27/7.
(j - 9)*(j - 1)*(71*j - 3)/7
Determine l, given that l**2/3 - 3*l - 70/3 = 0.
-5, 14
Determine f so that 4*f**3 + 13752*f**2 + 15759792*f + 6020240544 = 0.
-1146
Let 5*y**3 - 70*y**2 + 265*y - 200 = 0. What is y?
1, 5, 8
Determine y so that -y**3 - 302*y**2 - 301*y = 0.
-301, -1, 0
Factor 2493*m**3/4 + 6657*m**2/8 + 557*m/2 + 1/2.
(3*m + 2)**2*(554*m + 1)/8
Factor -3*h**2 - 57*h + 126.
-3*(h - 2)*(h + 21)
Factor -d**2/5 - 1746*d/5 - 762129/5.
-(d + 873)**2/5
Factor h**3/5 - 28*h**2/5 - 172*h - 960.
(h - 48)*(h + 10)**2/5
Factor -v**4/3 - 32*v**3 - 1408*v**2/3 + 14336*v - 200704/3.
-(v - 8)**2*(v + 56)**2/3
What is w in 80*w**5 + 40*w**4 - 195*w**3 + 85*w**2 - 10*w = 0?
-2, 0, 1/4, 1
Let 2*h**3 + 304*h**2/5 + 114*h/5 - 36 = 0. What is h?
-30, -1, 3/5
Factor -3*s**3 - 12*s**2 - 9*s.
-3*s*(s + 1)*(s + 3)
Suppose z**3 + 2*z**2 - 4*z - 8 = 0. Calculate z.
-2, 2
Factor i**2/5 - 12*i/5.
i*(i - 12)/5
Let d**3/7 + d**2/7 - 4*d/7 - 4/7 = 0. What is d?
-2, -1, 2
Find t such that -2*t**3 + 2*t = 0.
-1, 0, 1
Solve 5*d**2 - 17150*d + 14706125 = 0.
1715
Factor 4*s**4 - 572*s**3 + 560*s**2 + 1136*s.
4*s*(s - 142)*(s - 2)*(s + 1)
Factor u**3/2 + 671*u**2/2 + 1339*u/2 + 669/2.
(u + 1)**2*(u + 669)/2
What is s in -s**2/3 - 37*s/3 - 70/3 = 0?
-35, -2
Suppose -2*j**5/7 - 48*j**4/7 - 80*j**3/7 + 180*j**2/7 + 82*j/7 - 132/7 = 0. Calculate j.
-22, -3, -1, 1
What is s in -12*s**3/11 - 86*s**2/11 - 14*s/11 = 0?
-7, -1/6, 0
What is c in -9*c**4/2 - 72*c**3 - 623*c**2/2 - 258*c - 54 = 0?
-9, -6, -2/3, -1/3
Find a, given that -5*a**2 + 500 = 0.
-10, 10
Factor p**2 - 25*p.
p*(p - 25)
Find l, given that -2*l**2/11 + 744*l/11 - 742/11 = 0.
1, 371
Let 5*n**5 - 212*n**4 + 279*n**3 + 332*n**2 - 164*n = 0. What is n?
-1, 0, 2/5, 2, 41
Factor 4*h**3 - 8*h**2 + 4*h.
4*h*(h - 1)**2
Factor 3*k**3/2 + 21*k**2/2 + 33*k/2 + 15/2.
3*(k + 1)**2*(k + 5)/2
Find r, given that r**5/3 + 5*r**4/3 - 4*r**3/3 - 20*r**2/3 = 0.
-5, -2, 0, 2
Factor -2*p**2 - p/3 + 7/3.
-(p - 1)*(6*p + 7)/3
Suppose f**2/2 + 989*f/2 - 495 = 0. Calculate f.
-990, 1
Determine t, given that t**2/7 + 23*t/7 - 50/7 = 0.
-25, 2
Suppose r**2/4 + 35*r/4 = 0. What is r?
-35, 0
Factor 3*p**2 - 1896*p + 299568.
3*(p - 316)**2
Factor 2*b**5/3 - 212*b**4 + 634*b**3/3.
2*b**3*(b - 317)*(b - 1)/3
Factor -x**2/2 + x + 4.
-(x - 4)*(x + 2)/2
Factor -2*c**2/3 - 80*c - 238/3.
-2*(c + 1)*(c + 119)/3
Factor -d**2 - 41*d - 40.
-(d + 1)*(d + 40)
Let 3*l**2 - 252*l + 1185 = 0. Calculate l.
5, 79
Let 3*l**2 - 243*l - 756 = 0. What is l?
-3, 84
Determine j so that -2*j**5/3 + 20*j**4/3 - 16*j**3/3 - 20*j**2/3 + 6*j = 0.
-1, 0, 1, 9
Factor 2*m**2 - 2.
2*(m - 1)*(m + 1)
Determine c so that c**2 + 6*c + 5 = 0.
-5, -1
What is q in 3*q**5/4 - 12*q**4 + 57*q**3 - 123*q**2/2 - 231*q/4 + 147/2 = 0?
-1, 1, 2, 7
Solve 7*b**4/6 - 361*b**3/2 + 128*b**2 + 154*b/3 = 0 for b.
-2/7, 0, 1, 154
Factor -2*g**2/3 + 44*g/3 + 50.
-2*(g - 25)*(g + 3)/3
Determine g so that 2*g**2/3 - 1346*g + 4036/3 = 0.
1, 2018
Factor -2*d**3 - 88*d**2 + 2*d + 88.
-2*(d - 1)*(d + 1)*(d + 44)
Determine h so that -2*h**2/3 + 172*h/3 - 966 = 0.
23, 63
What is h in -2*h**3/9 - 2*h**2/3 + 20*h/9 + 16/3 = 0?
-4, -2, 3
Solve -k**2/3 + 43*k/3 - 110 = 0 for k.
10, 33
Find h, given that 2*h**3/3 + 4*h**2 + 22*h/3 + 4 = 0.
-3, -2, -1
Suppose -p**4 + 245*p**3 - 14112*p**2 - 111132*p = 0. What is p?
-7, 0, 126
Suppose 5*l**3 - 310*l**2/3 + 325*l - 680/3 = 0. What is l?
1, 8/3, 17
Factor -2*z**5/7 + 50*z**4/7 - 138*z**3/7 + 134*z**2/7 - 44*z/7.
-2*z*(z - 22)*(z - 1)**3/7
Let -885*p**3 + 2650*p**2 - 1755*p - 10 = 0. What is p?
-1/177, 1, 2
Determine b, given that -b**4/3 + 4*b**3 - 13*b**2 + 8*b/3 + 20 = 0.
-1, 2, 5, 6
Factor 4*o**5 + 38*o**4 + 126*o**3 + 162*o**2 + 54*o.
2*o*(o + 3)**3*(2*o + 1)
Factor -3*d**2/4 + 207*d/4.
-3*d*(d - 69)/4
Factor 2*l**4/17 + 4*l**3/17 - 22*l**2/17 - 24*l/17.
2*l*(l - 3)*(l + 1)*(l + 4)/17
Factor -192*v**3/7 - 48*v**2/7 - 3*v/7.
-3*v*(8*v + 1)**2/7
Suppose -2*v**4 + 10*v**3 + 6*v**2 - 34*v + 20 = 0. What is v?
-2, 1, 5
Factor -5*a**2 + 3040*a - 462080.
-5*(a - 304)**2
Find l, given that 2*l**4 + 4*l**3 - 6*l**2 - 16*l - 8 = 0.
-2, -1, 2
Factor 3*z**3/8 + 99*z**2/8 - 675*z/8 + 1053/8.
3*(z - 3)**2*(z + 39)/8
Factor 3*d**3/4 + 9*d**2/4 + 9*d/4 + 3/4.
3*(d + 1)**3/4
Determine f so that -4*f**5 + 10*f**4 - 33*f**3/4 + 5*f**2/2 - f/4 = 0.
0, 1/4, 1
Find z, given that z**2 + 105*z/8 + 27/2 = 0.
-12, -9/8
Factor r**5/4 - r**4/4 - 5*r**3/4 - 3*r**2/4.
r**2*(r - 3)*(r + 1)**2/4
Find t such that 2*t**2/11 + 32*t/11 - 34/11 = 0.
-17, 1
Find r such that -r**3 - 1493*r**2 - 559495*r - 1665075 = 0.
-745, -3
Solve -15*a**5 + 10*a**4 + 65*a**3 - 40*a**2 - 20*a = 0 for a.
-2, -1/3, 0, 1, 2
Suppose -173*w**2/5 + 35*w - 2/5 = 0. What is w?
2/173, 1
Find a, given that 4*a**3 + 124*a**2 + 448*a + 432 = 0.
-27, -2
Factor 12*s**2/5 - 3417*s/5 - 171.
3*(s - 285)*(4*s + 1)/5
Factor 3*i**4/7 - 9*i**3/7 - 291*i**2/7 + 297*i/7.
3*i*(i - 11)*(i - 1)*(i + 9)/7
Factor m**3/4 - 3*m**2/4 + 1.
(m - 2)**2*(m + 1)/4
Factor c**4/4 - c**3/2 - c**2 + 2*c.
c*(c - 2)**2*(c + 2)/4
Find o such that 32*o**5/9 + 112*o**4/9 - 142*o**3/9 - 346*o**2/9 - 140*o/9 - 16/9 = 0.
-4, -1, -1/4, 2
Suppose -w**5/8 - 5*w**4/8 - w**3/4 + w**2 = 0. Calculate w.
-4, -2, 0, 1
Factor n**3/7 + 762*n**2/7 - n/7 - 762/7.
(n - 1)*(n + 1)*(n + 762)/7
What is b in 2*b**3 - 90*b**2 - 92*b = 0?
-1, 0, 46
Factor -2*s**3/5 - 8*